Finite Group Databasebeta

C2×#19148417 #26005076

order11008
automorphism?
homologyAbelianization (H1) = C26 · Schur multiplier (H2) = C213

Aliases

direct productC2×#19148417

Splittings

SylowC43 ⋊ C2×#3504

Subgroups

subgroupG/H
centerC23C24×D43
commutator, cosocleC22×C43C26
FrattiniC22C25×D43
FittingC2×C43×#520C2
socleC23×C43C25
prime radicalC22×#41×C43C22
hypercenterC2×#520D43
hypocenterC43C2×#3504
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×#520

6958 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1516 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 1078047);