C₂×C₂²⋊Q₈×D₁₇₃ #36366787

order	22144
automorphism	?
homology	Abelianization (H₁) = C₂⁵ · Schur multiplier (H₂) = C₂⁹

Aliases

C₂×C₂²⋊Q₈×D₁₇₃

Fitting	C₂×C₂²⋊Q₈×C₁₇₃ ⋊ C₂
Sylow	C₁₇₃ ⋊ C₂²×C₂²⋊Q₈

1840 conjugacy classes of subgroups.

μ_t(G) = 5536

2464 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(22144, 17734);