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Label Subgroup Ambient Quotient
Name Order Sylow norm char max cent ab Name Order Name Size max ab
768.1088504.768.a1.a1 $C_1$ $1$ $C_2\times A_4:\OD_{32}$ $2^{8} \cdot 3$ $C_2\times A_4:\OD_{32}$ $2^{8} \cdot 3$
3072.bj.768.f1 $C_2^2$ $2^{2}$ $(C_2^4\times C_8).S_4$ $2^{10} \cdot 3$ $C_2\times A_4:\OD_{32}$ $2^{8} \cdot 3$
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