C₄⋊Q₈×#10621924 #36370034

order	22144
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄ · Schur multiplier (H₂) = C₂⁵

Aliases

Fitting	C₄⋊Q₈×C₁₇₃ ⋊ C₄
Sylow	C₁₇₃ ⋊ C₄×C₄⋊Q₈

588 conjugacy classes of subgroups; only the 210 normal subgroups are shown.

normal subgroups only

This group has 588 conjugacy classes of subgroups — too many to draw. Only its 210 normal subgroups are shown.

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

μ_t(G) = 5536

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(22144, 20981);