Finite Group Databasebeta

C4×#14583071 #25102491

order11008
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C26

Aliases

direct productC4×#14583071

Splittings

FittingC4×#124×C43 ⋊ C2
SylowC43 ⋊ C4×#454

Subgroups

subgroupG/H
centerC2×C4#13063293
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC4×#124×C43C2
socleC22×C43C2×#120
prime radicalC2×#14583071C2
cosocleC22×C4×C43C24
hypercenterC4×#124D43
hypocenterC43C4×#454
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C2×C4 ◁ C2×C42 ◁ C4×#124

1390 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1240 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 175462);