D₄×C₂²⋊D₃₇₃ #37560055

order	23872
automorphism	?
homology	Abelianization (H₁) = C₂⁴ · Schur multiplier (H₂) = C₂⁶

Aliases

D₄×C₂²⋊D₃₇₃

Fitting	C₂²×D₄×C₃₇₃ ⋊ C₂
Sylow	C₃₇₃ ⋊ D₄²

428 conjugacy classes of subgroups; only the 123 normal subgroups are shown.

normal subgroups only

This group has 428 conjugacy classes of subgroups — too many to draw. Only its 123 normal subgroups are shown.

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

μ_t(G) = 5968

3745 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(23872, 1182);