Finite Group Databasebeta

C2×#13092138 #15671672

order2944
automorphism?
homologyAbelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C22×C4

Aliases

direct productC2×#13092138

Splittings

SylowC23 ⋊ C2×#322

Subgroups

subgroupG/H
centerC2×C42C2×D23
commutatorC2×C23C2×C4×C8
FrattiniC42C22×D23
FittingC2×C4×C8×C23C2
socle, prime radicalC23×C23C42
cosocleC42×C23C23
hypercenterC2×C4×C8D23
hypocenterC23C2×#322
LCSG ▷ C2×C23 ▷ C23
UCSC1 ◁ C2×C42 ◁ C2×C4×C8

248 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 2944

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, 2785);