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Results (49 matches)

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Elements of the group are displayed as words in the presentation $\langle a, b \mid b^{88}=1, a^{10}=b^{44}, b^{a}=b^{15} \rangle$ .

Group Label Order Size Centralizer Powers Representative
2P 5P 11P
$C_{88}.C_{10}$ 1A $1$ $1$ $C_{88}.C_{10}$ 1A 1A 1A $1$
$C_{88}.C_{10}$ 2A $2$ $1$ $C_{88}.C_{10}$ 1A 2A 2A $b^{44}$
$C_{88}.C_{10}$ 4A $4$ $2$ $C_{11}:C_{40}$ 2A 4A 4A $b^{66}$
$C_{88}.C_{10}$ 4B $4$ $4$ $C_{11}:C_{20}$ 2A 4B 4B $a^{5}b^{44}$
$C_{88}.C_{10}$ 4C $4$ $4$ $C_{11}:C_{20}$ 2A 4C 4C $a^{5}b^{77}$
$C_{88}.C_{10}$ 5A1 $5$ $11$ $C_5\times Q_{16}$ 5A2 1A 5A1 $a^{6}b^{20}$
$C_{88}.C_{10}$ 5A-1 $5$ $11$ $C_5\times Q_{16}$ 5A-2 1A 5A-1 $a^{4}b^{72}$
$C_{88}.C_{10}$ 5A2 $5$ $11$ $C_5\times Q_{16}$ 5A-1 1A 5A2 $a^{2}b^{12}$
$C_{88}.C_{10}$ 5A-2 $5$ $11$ $C_5\times Q_{16}$ 5A1 1A 5A-2 $a^{8}b^{24}$
$C_{88}.C_{10}$ 8A1 $8$ $2$ $C_{11}:C_{40}$ 4A 8A3 8A3 $b^{33}$
$C_{88}.C_{10}$ 8A3 $8$ $2$ $C_{11}:C_{40}$ 4A 8A1 8A1 $b^{11}$
$C_{88}.C_{10}$ 10A1 $10$ $11$ $C_5\times Q_{16}$ 5A1 2A 10A1 $a^{8}b^{68}$
$C_{88}.C_{10}$ 10A-1 $10$ $11$ $C_5\times Q_{16}$ 5A-1 2A 10A-1 $a^{2}b^{56}$
$C_{88}.C_{10}$ 10A3 $10$ $11$ $C_5\times Q_{16}$ 5A-2 2A 10A3 $a^{4}b^{28}$
$C_{88}.C_{10}$ 10A-3 $10$ $11$ $C_5\times Q_{16}$ 5A2 2A 10A-3 $a^{6}b^{64}$
$C_{88}.C_{10}$ 11A1 $11$ $5$ $C_{11}\times Q_{16}$ 11A-1 11A1 1A $b^{32}$
$C_{88}.C_{10}$ 11A-1 $11$ $5$ $C_{11}\times Q_{16}$ 11A1 11A-1 1A $b^{56}$
$C_{88}.C_{10}$ 20A1 $20$ $22$ $C_{40}$ 10A1 4A 20A1 $a^{4}b^{50}$
$C_{88}.C_{10}$ 20A-1 $20$ $22$ $C_{40}$ 10A-1 4A 20A-1 $a^{6}b^{42}$
$C_{88}.C_{10}$ 20A3 $20$ $22$ $C_{40}$ 10A3 4A 20A3 $a^{2}b^{34}$
$C_{88}.C_{10}$ 20A-3 $20$ $22$ $C_{40}$ 10A-3 4A 20A-3 $a^{8}b^{2}$
$C_{88}.C_{10}$ 20B1 $20$ $44$ $C_{20}$ 10A-3 4B 20B1 $a^{3}b^{48}$
$C_{88}.C_{10}$ 20B-1 $20$ $44$ $C_{20}$ 10A3 4B 20B-1 $a^{7}b^{68}$
$C_{88}.C_{10}$ 20B3 $20$ $44$ $C_{20}$ 10A1 4B 20B3 $a^{9}b^{56}$
$C_{88}.C_{10}$ 20B-3 $20$ $44$ $C_{20}$ 10A-1 4B 20B-3 $ab^{84}$
$C_{88}.C_{10}$ 20C1 $20$ $44$ $C_{20}$ 10A-1 4C 20C1 $ab^{43}$
$C_{88}.C_{10}$ 20C-1 $20$ $44$ $C_{20}$ 10A1 4C 20C-1 $a^{9}b^{47}$
$C_{88}.C_{10}$ 20C3 $20$ $44$ $C_{20}$ 10A-3 4C 20C3 $a^{3}b^{67}$
$C_{88}.C_{10}$ 20C-3 $20$ $44$ $C_{20}$ 10A3 4C 20C-3 $a^{7}b^{39}$
$C_{88}.C_{10}$ 22A1 $22$ $5$ $C_{11}\times Q_{16}$ 11A1 22A1 2A $b^{60}$
$C_{88}.C_{10}$ 22A-1 $22$ $5$ $C_{11}\times Q_{16}$ 11A-1 22A-1 2A $b^{28}$
$C_{88}.C_{10}$ 40A1 $40$ $22$ $C_{40}$ 20A1 8A1 40A11 $a^{2}b$
$C_{88}.C_{10}$ 40A-1 $40$ $22$ $C_{40}$ 20A-1 8A1 40A-11 $a^{8}b^{5}$
$C_{88}.C_{10}$ 40A3 $40$ $22$ $C_{40}$ 20A3 8A3 40A-7 $a^{6}b^{5}$
$C_{88}.C_{10}$ 40A-3 $40$ $22$ $C_{40}$ 20A-3 8A3 40A7 $a^{4}b$
$C_{88}.C_{10}$ 40A7 $40$ $22$ $C_{40}$ 20A-3 8A1 40A-3 $a^{4}b^{5}$
$C_{88}.C_{10}$ 40A-7 $40$ $22$ $C_{40}$ 20A3 8A1 40A3 $a^{6}b$
$C_{88}.C_{10}$ 40A11 $40$ $22$ $C_{40}$ 20A1 8A3 40A1 $a^{2}b^{5}$
$C_{88}.C_{10}$ 40A-11 $40$ $22$ $C_{40}$ 20A-1 8A3 40A-1 $a^{8}b$
$C_{88}.C_{10}$ 44A1 $44$ $10$ $C_{88}$ 22A1 44A1 4A $b^{2}$
$C_{88}.C_{10}$ 44A-1 $44$ $10$ $C_{88}$ 22A-1 44A-1 4A $b^{86}$
$C_{88}.C_{10}$ 44B1 $44$ $20$ $C_{44}$ 22A1 44B1 4B $a^{5}b^{8}$
$C_{88}.C_{10}$ 44B-1 $44$ $20$ $C_{44}$ 22A-1 44B-1 4B $a^{5}b^{4}$
$C_{88}.C_{10}$ 44C1 $44$ $20$ $C_{44}$ 22A-1 44C1 4C $a^{5}b$
$C_{88}.C_{10}$ 44C-1 $44$ $20$ $C_{44}$ 22A1 44C-1 4C $a^{5}b^{17}$
$C_{88}.C_{10}$ 88A1 $88$ $10$ $C_{88}$ 44A1 88A3 8A3 $b$
$C_{88}.C_{10}$ 88A-1 $88$ $10$ $C_{88}$ 44A-1 88A-3 8A3 $b^{17}$
$C_{88}.C_{10}$ 88A3 $88$ $10$ $C_{88}$ 44A1 88A1 8A1 $b^{5}$
$C_{88}.C_{10}$ 88A-3 $88$ $10$ $C_{88}$ 44A-1 88A-1 8A1 $b^{13}$
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