C₂³×Q₈×#64408 #34032694

order	18688
automorphism	?
homology	Abelianization (H₁) = C₂⁵×C₄ · Schur multiplier (H₂) = C₂¹⁴

Aliases

direct product	C₂³×Q₈×#64408
unambiguous semidirect product	D₇₃⋊(C₂²×C₄×Q₈)

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

12446 conjugacy classes of subgroups; only the 6264 normal subgroups are shown.

normal subgroups only

This group has 12446 conjugacy classes of subgroups — too many to draw. Only its 6264 normal subgroups are shown.

Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.

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, 1116278);