C₂×Q₈×C₂²⋊#64408 #34030627

order	18688
automorphism	?
homology	Abelianization (H₁) = C₂⁴×C₄ · Schur multiplier (H₂) = C₂¹⁰

Aliases

direct product	C₂×Q₈×C₂²⋊#64408
unambiguous semidirect product	D₇₃⋊(Q₈×C₂²⋊C₄)

Fitting	C₂³×Q₈×C₇₃ ⋊ C₄
Sylow	C₇₃ ⋊ C₂×Q₈×C₂²⋊C₄

5414 conjugacy classes of subgroups.

μ_t(G) = 4672

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(18688, 1114211);