C₂×C₉×#3811 #72276285

order	2592
automorphism	?
homology	Abelianization (H₁) = C₂⁴×C₉ · Schur multiplier (H₂) = C₂⁶

Aliases

Fitting	C₂³×C₃²×C₉ ⋊ C₂²
Sylow	C₃²×C₉ ⋊ C₂²×D₄

1897 conjugacy classes of subgroups.

minimal degree	μ(G) = 21
transitive degree	μ_t(G) = 144

A minimal faithful permutation representation — 4 generators on 21 points:

(4,5)(6,7)(13,17,21,15,20,16,18,14,19);(3,4,5)(10,12);(1,2);(7,8)(9,10)(11,12)

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

Past the SmallGroups library coverage — no SmallGroups id. Construct it from a minimal faithful permutation representation:

gap> G := Group((4,5)(6,7)(13,17,21,15,20,16,18,14,19), (3,4,5)(10,12), (1,2), (7,8)(9,10)(11,12));