Finite Group Databasebeta

C2×#13092418 #15681909

order2944
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C26

Aliases

direct productC2×#13092418

Splittings

SylowC23 ⋊ C2×#417

Subgroups

subgroupG/H
centerC23C2×C22⋊D23
commutatorC4×C23C23×C4
FrattiniC2×C4C23×D23
Fitting, prime radicalC22×#41×C23C2
socleC23×C23C2×D4
cosocleC2×C4×C23C24
hypercenterC22×#41D23
hypocenterC23C2×#417
LCSG ▷ C4×C23 ▷ C2×C23 ▷ C23
UCSC1 ◁ C23 ◁ C23×C4 ◁ C22×#41

816 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1472

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2944, 13022);