Finite Group Databasebeta

C2×#19132686 #25011473

order11008
automorphism?
homologyAbelianization (H1) = C2×C42 · Schur multiplier (H2) = C25

Aliases

direct productC2×#19132686

Splittings

SylowC43 ⋊ C2×#1380

Subgroups

subgroupG/H
centerC24#10621882
commutatorC8×C43C2×C42
FrattiniC22×C8C22×D43
FittingC22×#107×C43C2
socle, prime radicalC24×C43D8
cosocleC22×C8×C43C23
hypercenterC22×#107D43
hypocenterC43C2×#1380
LCSG ▷ C8×C43 ▷ C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C24 ◁ C23×C4 ◁ C23×C8 ◁ C22×#107

694 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, 84444);