C₂²⋊C₄×D₅₆₈ #32013277

order	18176
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄ · Schur multiplier (H₂) = C₂⁷

Aliases

C₂²⋊C₄×D₅₆₈

Fitting	C₈×C₂²⋊C₄×C₇₁ ⋊ C₂
Sylow	C₇₁ ⋊ C₂²⋊C₄×D₈

1830 conjugacy classes of subgroups.

μ_t(G) = 4544

2870 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(18176, 185393);