Finite Group Databasebeta

C2×#13092295 #15675814

order2944
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C28

Aliases

direct productC2×#13092295

Splittings

FittingC2×C23×#95 ⋊ C2
SylowC23 ⋊ C2×#386

Subgroups

subgroupG/H
centerC24C22×D23
commutatorC22×C23C23×C4
FrattiniC23C23×D23
FittingC2×C23×#95C2
socleC24×C23C23
prime radicalC23×D92C2
cosocleC23×C23C24
hypercenterC2×#95D23
hypocenterC23C2×#386
LCSG ▷ C22×C23 ▷ C23
UCSC1 ◁ C24 ◁ C2×#95

1576 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1472

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, 6927);