Finite Group Databasebeta

C8×#13063242 #24987155

order11008
automorphism?
homologyAbelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C22×C4

Aliases

direct productC8×#13063242

Splittings

SylowC43 ⋊ C8×#100

Subgroups

subgroupG/H
centerC2×C8C22⋊Dic43
commutatorC22×C43C2×C4×C8
FrattiniC2×C42C22×D43
FittingC2×C8×D4×C43C2
socleC22×C43C4×C22⋊C4
prime radicalC22×D4×C43C2×C4
cosocleC2×C42×C43C23
hypercenterC2×C8×D4D43
hypocenterC43C8×#100
LCSG ▷ C22×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C2×C8 ◁ C2×C4×C8 ◁ C2×C8×D4

542 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1768 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 60126);