Finite Group Databasebeta

C2×#13092532 #15682285

order2944
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C25

Aliases

direct productC2×#13092532

Splittings

FittingC2×C23×#131 ⋊ C2
SylowC23 ⋊ C2×#443

Subgroups

subgroupG/H
centerC2×C8C22⋊D23
commutatorC4×C23C23×C4
FrattiniC2×C4C23×D23
FittingC2×C23×#131C2
socleC22×C23C4×D4
prime radicalC2×#10625121C2
cosocleC2×C4×C23C24
hypercenterC2×#131D23
hypocenterC23C2×#443
LCSG ▷ C4×C23 ▷ C2×C23 ▷ C23
UCSC1 ◁ C2×C8 ◁ C22×C8 ◁ C2×#131

472 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 736

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2944, 13398);