C₂²×(C₂×#89137)⋊C₄ #28379458

order	13952
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄² · Schur multiplier (H₂) = C₂⁸

Aliases

direct product	C₂²×(C₂×#89137)⋊C₄
unambiguous semidirect product	D₁₀₉⋊(C₂×#95)

Fitting	C₂³×C₄×C₁₀₉ ⋊ C₄
Sylow	C₁₀₉ ⋊ C₂²×#95

1880 conjugacy classes of subgroups; only the 634 normal subgroups are shown.

normal subgroups only

This group has 1880 conjugacy classes of subgroups — too many to draw. Only its 634 normal subgroups are shown.

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

μ_t(G) = 3488

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(13952, 20936);