C₂⁴×C₄⋊#595 #17981031

order	4352
isoclinism	isoclinic class of #63243
automorphism	?
homology	Abelianization (H₁) = C₂⁵×C₄ · Schur multiplier (H₂) = C₂¹⁵

Aliases

direct product	C₂⁴×C₄⋊#595
unambiguous semidirect product	D₁₇⋊(C₂³×C₄⋊C₄)

Fitting	C₂⁴×C₄×C₁₇ ⋊ C₄
Sylow	C₁₇ ⋊ 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) = 1088

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(4352, 1116275);