Finite Group Databasebeta

← Prev (#26215567) Next (#26215569) →

C2×#20243347 #26215568

order12032
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C28

Aliases

direct productC2×#20243347

Splittings

SylowC47 ⋊ C2×#1793

Subgroups

subgroupG/H
centerC23#13093993
commutatorC2×C4×C47C23×C4
FrattiniC22×C4C23×D47
Fitting, prime radicalC22×2−1+4×C47C2
socleC23×C47#120
cosocleC22×C4×C47C24
hypercenterC22×2−1+4D47
hypocenterC47C2×#1793
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C23 ◁ C23×C4 ◁ C22×2−1+4

3682 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1628 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 168858);