C₂×D₄×#11757210 #29508781

order	15424
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄ · Schur multiplier (H₂) = C₂⁶

Aliases

direct product	C₂×D₄×#11757210
unambiguous semidirect product	D₂₄₁⋊(C₄×D₄)

Fitting	C₂×D₄×C₂₄₁ ⋊ C₄
Sylow	C₂₄₁ ⋊ C₂×C₄×D₄

426 conjugacy classes of subgroups; only the 156 normal subgroups are shown.

normal subgroups only

This group has 426 conjugacy classes of subgroups — too many to draw. Only its 156 normal subgroups are shown.

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

μ_t(G) = 1928

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(15424, 1613);