Finite Group Databasebeta

C2×#20243046 #26204040

order12032
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C23×C8

Aliases

direct productC2×#20243046

Splittings

FittingC2×C47×#498 ⋊ C2
SylowC47 ⋊ C2×#1720

Subgroups

subgroupG/H
centerC23#13094020
commutator, cosocleC42×C47C24
FrattiniC42C23×D47
FittingC2×C47×#498C2
socleC23×C47#127
prime radicalC2×#13094021C22
hypercenterC2×#498D47
hypocenterC47C2×#1720
LCSG ▷ C42×C47 ▷ C22×C47 ▷ C47
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#498

850 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1064 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 157330);