C₂³×C₃×D₂₄ #11918536

order	1152
isoclinism	isoclinic class of #204
automorphism	?
homology	Abelianization (H₁) = C₂⁵×C₃ · Schur multiplier (H₂) = C₂¹⁰

Aliases

C₂³×C₃×D₂₄

Fitting	C₂³×C₃²×C₈ ⋊ C₂
Sylow	C₃² ⋊ C₂³×D₈

4121 conjugacy classes of subgroups; only the 1290 normal subgroups are shown.

normal subgroups only

This group has 4121 conjugacy classes of subgroups — too many to draw. Only its 1290 normal subgroups are shown.

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

μ_t(G) = 384

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1152, 152547);