C₂×D₄×#11745021 #28412545

order	14656
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄ · Schur multiplier (H₂) = C₂⁶

Aliases

direct product	C₂×D₄×#11745021
unambiguous semidirect product	D₂₂₉⋊(C₄×D₄)

Fitting	C₂×D₄×C₂₂₉ ⋊ C₄
Sylow	C₂₂₉ ⋊ 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) = 1832

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(14656, 1613);