↑

Learn more

Refine search

Group Order Size
Sort order Select

Results (1-50 of 97 matches)

Next   displayed columns for results

Elements of the group are displayed as words in the presentation $\langle a, b \mid a^{96}=b^{97}=1, b^{a}=b^{80} \rangle$ .

Group Label Order Size Centralizer Powers Representative
2P 3P 97P
$F_{97}$ 1A $1$ $1$ $F_{97}$ 1A 1A 1A $1$
$F_{97}$ 2A $2$ $97$ $C_{96}$ 1A 2A 2A $a^{48}$
$F_{97}$ 3A1 $3$ $97$ $C_{96}$ 3A-1 1A 3A1 $a^{32}$
$F_{97}$ 3A-1 $3$ $97$ $C_{96}$ 3A1 1A 3A-1 $a^{64}$
$F_{97}$ 4A1 $4$ $97$ $C_{96}$ 2A 4A-1 4A1 $a^{72}$
$F_{97}$ 4A-1 $4$ $97$ $C_{96}$ 2A 4A1 4A-1 $a^{24}$
$F_{97}$ 6A1 $6$ $97$ $C_{96}$ 3A1 2A 6A1 $a^{16}$
$F_{97}$ 6A-1 $6$ $97$ $C_{96}$ 3A-1 2A 6A-1 $a^{80}$
$F_{97}$ 8A1 $8$ $97$ $C_{96}$ 4A1 8A3 8A1 $a^{36}$
$F_{97}$ 8A-1 $8$ $97$ $C_{96}$ 4A-1 8A-3 8A-1 $a^{60}$
$F_{97}$ 8A3 $8$ $97$ $C_{96}$ 4A-1 8A1 8A3 $a^{12}$
$F_{97}$ 8A-3 $8$ $97$ $C_{96}$ 4A1 8A-1 8A-3 $a^{84}$
$F_{97}$ 12A1 $12$ $97$ $C_{96}$ 6A1 4A1 12A1 $a^{56}$
$F_{97}$ 12A-1 $12$ $97$ $C_{96}$ 6A-1 4A-1 12A-1 $a^{40}$
$F_{97}$ 12A5 $12$ $97$ $C_{96}$ 6A-1 4A1 12A5 $a^{88}$
$F_{97}$ 12A-5 $12$ $97$ $C_{96}$ 6A1 4A-1 12A-5 $a^{8}$
$F_{97}$ 16A1 $16$ $97$ $C_{96}$ 8A1 16A3 16A1 $a^{66}$
$F_{97}$ 16A-1 $16$ $97$ $C_{96}$ 8A-1 16A-3 16A-1 $a^{30}$
$F_{97}$ 16A3 $16$ $97$ $C_{96}$ 8A3 16A-7 16A3 $a^{6}$
$F_{97}$ 16A-3 $16$ $97$ $C_{96}$ 8A-3 16A7 16A-3 $a^{90}$
$F_{97}$ 16A5 $16$ $97$ $C_{96}$ 8A-3 16A-1 16A5 $a^{42}$
$F_{97}$ 16A-5 $16$ $97$ $C_{96}$ 8A3 16A1 16A-5 $a^{54}$
$F_{97}$ 16A7 $16$ $97$ $C_{96}$ 8A-1 16A5 16A7 $a^{78}$
$F_{97}$ 16A-7 $16$ $97$ $C_{96}$ 8A1 16A-5 16A-7 $a^{18}$
$F_{97}$ 24A1 $24$ $97$ $C_{96}$ 12A1 8A1 24A1 $a^{76}$
$F_{97}$ 24A-1 $24$ $97$ $C_{96}$ 12A-1 8A-1 24A-1 $a^{20}$
$F_{97}$ 24A5 $24$ $97$ $C_{96}$ 12A5 8A-3 24A5 $a^{92}$
$F_{97}$ 24A-5 $24$ $97$ $C_{96}$ 12A-5 8A3 24A-5 $a^{4}$
$F_{97}$ 24A7 $24$ $97$ $C_{96}$ 12A-5 8A-1 24A7 $a^{52}$
$F_{97}$ 24A-7 $24$ $97$ $C_{96}$ 12A5 8A1 24A-7 $a^{44}$
$F_{97}$ 24A11 $24$ $97$ $C_{96}$ 12A-1 8A3 24A11 $a^{68}$
$F_{97}$ 24A-11 $24$ $97$ $C_{96}$ 12A1 8A-3 24A-11 $a^{28}$
$F_{97}$ 32A1 $32$ $97$ $C_{96}$ 16A1 32A3 32A1 $a^{81}$
$F_{97}$ 32A-1 $32$ $97$ $C_{96}$ 16A-1 32A-3 32A-1 $a^{15}$
$F_{97}$ 32A3 $32$ $97$ $C_{96}$ 16A3 32A9 32A3 $a^{51}$
$F_{97}$ 32A-3 $32$ $97$ $C_{96}$ 16A-3 32A-9 32A-3 $a^{45}$
$F_{97}$ 32A5 $32$ $97$ $C_{96}$ 16A5 32A15 32A5 $a^{21}$
$F_{97}$ 32A-5 $32$ $97$ $C_{96}$ 16A-5 32A-15 32A-5 $a^{75}$
$F_{97}$ 32A7 $32$ $97$ $C_{96}$ 16A7 32A-11 32A7 $a^{87}$
$F_{97}$ 32A-7 $32$ $97$ $C_{96}$ 16A-7 32A11 32A-7 $a^{9}$
$F_{97}$ 32A9 $32$ $97$ $C_{96}$ 16A-7 32A-5 32A9 $a^{57}$
$F_{97}$ 32A-9 $32$ $97$ $C_{96}$ 16A7 32A5 32A-9 $a^{39}$
$F_{97}$ 32A11 $32$ $97$ $C_{96}$ 16A-5 32A1 32A11 $a^{27}$
$F_{97}$ 32A-11 $32$ $97$ $C_{96}$ 16A5 32A-1 32A-11 $a^{69}$
$F_{97}$ 32A13 $32$ $97$ $C_{96}$ 16A-3 32A7 32A13 $a^{93}$
$F_{97}$ 32A-13 $32$ $97$ $C_{96}$ 16A3 32A-7 32A-13 $a^{3}$
$F_{97}$ 32A15 $32$ $97$ $C_{96}$ 16A-1 32A13 32A15 $a^{63}$
$F_{97}$ 32A-15 $32$ $97$ $C_{96}$ 16A1 32A-13 32A-15 $a^{33}$
$F_{97}$ 48A1 $48$ $97$ $C_{96}$ 24A1 16A1 48A1 $a^{86}$
$F_{97}$ 48A-1 $48$ $97$ $C_{96}$ 24A-1 16A-1 48A-1 $a^{10}$
Next   displayed columns for results