H(3,ℤ/4)×D₂₄₁ #44507144

order	30848
automorphism	?
homology	Abelianization (H₁) = C₂×C₄² · Schur multiplier (H₂) = C₂³×C₄

Aliases

Fitting	H(3,ℤ/4)×C₂₄₁ ⋊ C₂
Sylow	C₂₄₁ ⋊ C₂×H(3,ℤ/4)

404 conjugacy classes of subgroups; only the 135 normal subgroups are shown.

normal subgroups only

This group has 404 conjugacy classes of subgroups — too many to draw. Only its 135 normal subgroups are shown.

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

μ_t(G) = 3856

2684 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(30848, 4209);