C₄×C₈×#10596842 #34033217

order	18688
automorphism	?
homology	Abelianization (H₁) = C₄×C₈² · Schur multiplier (H₂) = C₄²×C₈

Aliases

direct product	C₄×C₈×#10596842
unambiguous semidirect product	#64408⋊C₈²

Fitting	C₄×C₈×C₇₃ ⋊ C₈
derived, Sylow	C₇₃ ⋊ C₄×C₈²

750 conjugacy classes of subgroups; only the 397 normal subgroups are shown.

normal subgroups only

This group has 750 conjugacy classes of subgroups — too many to draw. Only its 397 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, 1116801);