Finite Group Databasebeta

C2×#19132567 #25006379

order11008
automorphism?
homologyAbelianization (H1) = C22×C8 · Schur multiplier (H2) = C23

Aliases

direct productC2×#19132567

Splittings

FittingC2×C43×#364 ⋊ C2
SylowC43 ⋊ C2×#1335

Subgroups

subgroupG/H
centerC2×C8#10621882
commutatorC8×C43C22×C8
FrattiniC4×C8C22×D43
FittingC2×C43×#364C2
socleC22×C43D4⋊C8
prime radicalC2×#13063347C4
cosocleC4×C8×C43C23
hypercenterC2×#364D43
hypocenterC43C2×#1335
LCSG ▷ C8×C43 ▷ C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C2×C8 ◁ C22×C8 ◁ C2×C4×C8 ◁ C2×#364

414 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1264 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 79350);