C₂⁴×C₄⋊#64408 #34032691

order	18688
automorphism	?
homology	Abelianization (H₁) = C₂⁵×C₄ · Schur multiplier (H₂) = C₂¹⁵

Aliases

direct product	C₂⁴×C₄⋊#64408
unambiguous semidirect product	D₇₃⋊(C₂³×C₄⋊C₄)

Fitting	C₂⁴×C₄×C₇₃ ⋊ C₄
Sylow	C₇₃ ⋊ C₂⁴×C₄⋊C₄

19742 conjugacy classes of subgroups; only the 8408 normal subgroups are shown.

normal subgroups only

This group has 19742 conjugacy classes of subgroups — too many to draw. Only its 8408 normal subgroups are shown.

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

μ_t(G) = 4672

1312 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(18688, 1116275);