C₂×C₄²×#10596842 #34034536

order	18688
automorphism	?
homology	Abelianization (H₁) = C₂×C₄²×C₈ · Schur multiplier (H₂) = C₂³×C₄³

Aliases

direct product	C₂×C₄²×#10596842
unambiguous semidirect product	#64408⋊(C₂×C₄×C₈)

Fitting	C₂×C₄²×C₇₃ ⋊ C₈
derived, Sylow	C₇₃ ⋊ C₂×C₄²×C₈

2046 conjugacy classes of subgroups; only the 1077 normal subgroups are shown.

normal subgroups only

This group has 2046 conjugacy classes of subgroups — too many to draw. Only its 1077 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, 1118120);