C₂³×D₄×#64408 #34032693

order	18688
automorphism	?
homology	Abelianization (H₁) = C₂⁵×C₄ · Schur multiplier (H₂) = C₂¹⁵

Aliases

direct product	C₂³×D₄×#64408
unambiguous semidirect product	D₇₃⋊(C₂²×C₄×D₄)

Fitting	C₂³×D₄×C₇₃ ⋊ C₄
Sylow	C₇₃ ⋊ C₂³×C₄×D₄

19998 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, 1116277);