C₇²×#1020 #72214367

order	4704
isoclinism	isoclinic class of #1020
automorphism	?
homology	Abelianization (H₁) = C₂×C₇² · Schur multiplier (H₂) = C₂³×C₇

Aliases

Fitting, socle	C₂⁴×C₇² ⋊ D₃
derived	C₂²⋊A₄ ⋊ C₂×C₇²

	subgroup	G/H
center, hypercenter	C₇²	#1020
commutator, cosocle, hypocenter	C₂²⋊A₄	C₂×C₇²
Frattini	C₁	G
Fitting, socle	C₂⁴×C₇²	D₃
LCS	G ▷ C₂²⋊A₄
UCS	C₁ ◁ C₇²

560 conjugacy classes of subgroups.

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

maximal subgroup of	#1020×#3861, #1020×C₇⋊D₇, C₇×#1020⋊D₇
maximal normal subgroup of	#1020×#3861, #1020×C₇⋊D₇, C₇×#1020⋊D₇

Past the SmallGroups library coverage — no SmallGroups id.