Finite Group Databasebeta

C4×#10622103 #14644692

order2816
automorphism?
homologyAbelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4

Aliases

direct productC4×#10622103

Splittings

SylowC11 ⋊ C4×#330

Subgroups

subgroupG/H
centerC22×C4(C2×D11)⋊C4
commutatorC2×C4×C11C2×C42
FrattiniC2×C42C22×D11
FittingC4×C11×#97C2
socle, prime radicalC23×C11C2×C22⋊C4
cosocleC2×C42×C11C23
hypercenterC4×#97D11
hypocenterC11C4×#330
LCSG ▷ C2×C4×C11 ▷ C22×C11 ▷ C11
UCSC1 ◁ C22×C4 ◁ C43 ◁ C4×#97

532 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, 60487);