Finite Group Databasebeta

C2×#13092372 #15681809

order2944
automorphism?
homologyAbelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C4

Aliases

direct productC2×#13092372

Splittings

SylowC23 ⋊ C2×#405

Subgroups

subgroupG/H
centerC22×C8C2×D23
commutatorC2×C23C22×C42
FrattiniC2×C4C23×D23
FittingC23×C8×C23C2
socleC23×C23C22×C4
prime radicalC24×C23C2×C4
cosocleC2×C4×C23C24
hypercenterC23×C8D23
hypocenterC23C2×#405
LCSG ▷ C2×C23 ▷ C23
UCSC1 ◁ C22×C8 ◁ C23×C8

592 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1472

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2944, 12922);