C₂×D₁₇₃⋊(C₄⋊C₈) #36370196

order	22144
automorphism	?
homology	Abelianization (H₁) = C₂³×C₈ · Schur multiplier (H₂) = C₂⁶

Aliases

direct product	C₂×D₁₇₃⋊(C₄⋊C₈)
unambiguous semidirect product	D₁₇₃⋊(C₂×C₄⋊C₈)

C₁₇₃ ⋊ C₂²×C₄⋊C₈

640 conjugacy classes of subgroups.

μ_t(G) = 11072

1456 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(22144, 21143);