C₂²×(C₂×#6923)⋊Q₈ #30624577

order	15616
automorphism	?
homology	Abelianization (H₁) = C₂⁴×C₄ · Schur multiplier (H₂) = C₂⁹×C₄

Aliases

direct product	C₂²×(C₂×#6923)⋊Q₈
unambiguous semidirect product	D₆₁⋊(C₂×#391)

Fitting	C₂³×Q₈×C₆₁ ⋊ C₄
Sylow	C₆₁ ⋊ C₂²×#391

6174 conjugacy classes of subgroups.

μ_t(G) = 3904

712 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(15616, 1114132);