Finite Group Databasebeta

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C₂×#72240994 #72343687

order	6144
automorphism	?
homology	Abelianization (H₁) = C₂⁵ · Schur multiplier (H₂) = C₂¹²

Aliases

C₂×#72240994

Splittings

C₂×#10586999 ⋊ D₃

Subgroups

	subgroup	G/H
center, socle	C₂²	C₂×D₄×#1020
commutator, cosocle	#5950	C₂⁵
Frattini	C₄	C₂⁴×#1020
Fitting	C₂×#10586999	D₃
hypercenter	C₂×AGL(1,ℤ/8)	#1020
hypocenter	#997	C₂³×D₄
LCS	G ▷ #5950 ▷ #997
UCS	C₁ ◁ C₂² ◁ C₂²×C₄ ◁ C₂×AGL(1,ℤ/8)

Only the 818 normal subgroups are shown; non-normal subgroups are omitted.

Full subgroup data →

Conjugacy classes & character table

206 conjugacy classes — view the full character table.

GAP

Past the SmallGroups library coverage — no SmallGroups id.