Finite Group Databasebeta

C2×#13073978 #14925103

order2816
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C28

Aliases

direct productC2×#13073978

Splittings

SylowC11 ⋊ C2×#2581

Subgroups

subgroupG/H
centerC24C23×D11
commutator, cosocleC23×C11C25
FrattiniC23C24×D11
FittingC22×C4×Q8×C11C2
socle, prime radicalC24×C11C24
hypercenterC22×C4×Q8D11
hypocenterC11C2×#2581
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C24 ◁ C22×C4×Q8

2614 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 2816

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2816, 340898);