Finite Group Databasebeta

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C8×#13063307 #25103554

order11008
automorphism?
homologyAbelianization (H1) = C23×C8 · Schur multiplier (H2) = C25

Aliases

direct productC8×#13063307

Splittings

FittingC8×C22⋊C4×C43 ⋊ C2
SylowC43 ⋊ C8×#123

Subgroups

subgroupG/H
centerC22×C8C22×D43
commutatorC22×C43C23×C8
FrattiniC22×C4C23×D43
FittingC8×C22⋊C4×C43C2
socleC23×C43C23×C4
prime radicalC22×C22⋊D43C2×C4
cosocleC22×C4×C43C24
hypercenterC8×C22⋊C4D43
hypocenterC43C8×#123
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C22×C8 ◁ C8×C22⋊C4

1034 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1792 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 176525);