C₂×C₄×D₄×#64408 #34030514

order	18688
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄² · Schur multiplier (H₂) = C₂⁹×C₄

Aliases

direct product	C₂×C₄×D₄×#64408
unambiguous semidirect product	D₇₃⋊(C₄²×D₄)

Fitting	C₂×C₄×D₄×C₇₃ ⋊ C₄
Sylow	C₇₃ ⋊ C₂×C₄²×D₄

5694 conjugacy classes of subgroups.

μ_t(G) = 2336

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(18688, 1114098);