C₂×C₂²⋊#14515358 #29508828

order	15424
automorphism	?
homology	Abelianization (H₁) = C₂²×C₈ · Schur multiplier (H₂) = C₂⁴

Aliases

direct product	C₂×C₂²⋊#14515358
unambiguous semidirect product	(C₂×#14515358)⋊C₂²

Fitting	C₂³×C₂₄₁ ⋊ C₈
Sylow	C₂₄₁ ⋊ C₂×C₂²⋊C₈

202 conjugacy classes of subgroups; only the 65 normal subgroups are shown.

normal subgroups only

This group has 202 conjugacy classes of subgroups — too many to draw. Only its 65 normal subgroups are shown.

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

μ_t(G) = 1928

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(15424, 1660);