C₂³×C₂²⋊#10596842 #34035037

order	18688
automorphism	?
homology	Abelianization (H₁) = C₂⁴×C₈ · Schur multiplier (H₂) = C₂¹¹

Aliases

direct product	C₂³×C₂²⋊#10596842
unambiguous semidirect product	(C₂×#10596842)⋊C₂⁴

Fitting	C₂⁵×C₇₃ ⋊ C₈
Sylow	C₇₃ ⋊ C₂³×C₂²⋊C₈

7646 conjugacy classes of subgroups; only the 1669 normal subgroups are shown.

normal subgroups only

This group has 7646 conjugacy classes of subgroups — too many to draw. Only its 1669 normal subgroups are shown.

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

μ_t(G) = 2336

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(18688, 1118621);