C₂³×C₄×#10596842 #34035036

order	18688
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄×C₈ · Schur multiplier (H₂) = C₂⁹×C₄

Aliases

direct product	C₂³×C₄×#10596842
unambiguous semidirect product	#64408⋊(C₂³×C₈)

Fitting	C₂³×C₄×C₇₃ ⋊ C₈
derived, Sylow	C₇₃ ⋊ C₂³×C₄×C₈

4638 conjugacy classes of subgroups; only the 2437 normal subgroups are shown.

normal subgroups only

This group has 4638 conjugacy classes of subgroups — too many to draw. Only its 2437 normal subgroups are shown.

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

μ_t(G) = 2336

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(18688, 1118620);