C₂×C₄×Q₈×#64408 #34030515

order	18688
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄² · Schur multiplier (H₂) = C₂⁸×C₄

Aliases

direct product	C₂×C₄×Q₈×#64408
unambiguous semidirect product	D₇₃⋊(C₄²×Q₈)

Fitting	C₂×C₄×Q₈×C₇₃ ⋊ C₄
Sylow	C₇₃ ⋊ C₂×C₄²×Q₈

3966 conjugacy classes of subgroups.

μ_t(G) = 4672

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(18688, 1114099);