C₂²×#17989533 #34030537

order	18688
automorphism	?
homology	Abelianization (H₁) = C₂⁴×C₄ · Schur multiplier (H₂) = C₂⁹×C₄

Aliases

direct product	C₂²×#17989533
unambiguous semidirect product	D₇₃⋊(C₂×#384)

Fitting	C₂²×C₄²×C₇₃ ⋊ C₄
Sylow	C₇₃ ⋊ C₂²×#384

5502 conjugacy classes of subgroups; only the 2056 normal subgroups are shown.

normal subgroups only

This group has 5502 conjugacy classes of subgroups — too many to draw. Only its 2056 normal subgroups are shown.

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

μ_t(G) = 4672

1264 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(18688, 1114121);