C₂²×#17989500 #34030018

order	18688
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄ · Schur multiplier (H₂) = C₂⁶

Aliases

direct product	C₂²×#17989500
unambiguous semidirect product	D₇₃⋊(C₂×#358)

Fitting	C₂²×Q₁₆×C₇₃ ⋊ C₄
Sylow	C₇₃ ⋊ C₂²×#358

1214 conjugacy classes of subgroups; only the 320 normal subgroups are shown.

normal subgroups only

This group has 1214 conjugacy classes of subgroups — too many to draw. Only its 320 normal subgroups are shown.

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

μ_t(G) = 4672

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(18688, 1113602);