Finite Group Databasebeta

C8×#13063355 #25066020

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

Aliases

direct productC8×#13063355

Splittings

SylowC43 ⋊ C8×#137

Subgroups

subgroupG/H
centerC2×C8C2×C22⋊D43
commutatorC4×C43C23×C8
FrattiniC42C23×D43
FittingC8×#41×C43C2
socleC22×C43C2×C4×D4
prime radicalC2×#41×C43C2×C4
cosocleC42×C43C24
hypercenterC8×#41D43
hypocenterC43C8×#137
LCSG ▷ C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C2×C8 ◁ C2×C4×C8 ◁ C8×#41

714 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, 138991);