Finite Group Databasebeta

C4×#15689314 #26222269

order12032
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C26

Aliases

direct productC4×#15689314

Splittings

FittingC4×#99×C47 ⋊ C2
SylowC47 ⋊ C4×#458

Subgroups

subgroupG/H
centerC2×C4#13093994
commutatorC23×C47C23×C4
FrattiniC24C23×D47
FittingC4×#99×C47C2
socleC22×C47C2×#120
prime radicalC2×#13094069C22
cosocleC24×C47C24
hypercenterC4×#99D47
hypocenterC47C4×#458
LCSG ▷ C23×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C2×C4 ◁ C23×C4 ◁ C4×#99

1538 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1076 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 175559);