C₂³×C₂²⋊#10621924 #36370534

order	22144
automorphism	?
homology	Abelianization (H₁) = C₂⁴×C₄ · Schur multiplier (H₂) = C₂¹¹

Aliases

direct product	C₂³×C₂²⋊#10621924
unambiguous semidirect product	D₁₇₃⋊(C₂²×C₂²⋊C₄)
unambiguous semidirect product	(C₂×#10621924)⋊C₂⁴

Fitting	C₂⁵×C₁₇₃ ⋊ C₄
Sylow	C₁₇₃ ⋊ C₂³×C₂²⋊C₄

4632 conjugacy classes of subgroups; only the 1106 normal subgroups are shown.

normal subgroups only

This group has 4632 conjugacy classes of subgroups — too many to draw. Only its 1106 normal subgroups are shown.

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

μ_t(G) = 5536

1456 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(22144, 21481);