Finite Group Databasebeta

C2×#13092251 #15675689

order2944
automorphism?
homologyAbelianization (H1) = C22×C16 · Schur multiplier (H2) = C22

Aliases

direct productC2×#13092251

Splittings

SylowC23 ⋊ C2×M64

Subgroups

subgroupG/H
centerC2×C16C2×D23
commutatorC2×C23C22×C16
FrattiniC16C22×D23
FittingC22×C16×C23C2
socleC22×C23C2×C16
prime radicalC23×C23C16
cosocleC16×C23C23
hypercenterC22×C16D23
hypocenterC23C2×M64
LCSG ▷ C2×C23 ▷ C23
UCSC1 ◁ C2×C16 ◁ C22×C16

112 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, 6802);