Finite Group Databasebeta

C2×#19148398 #26004501

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

Aliases

direct productC2×#19148398

Splittings

SylowC43 ⋊ C2×#3501

Subgroups

subgroupG/H
centerC23C24×D43
commutator, cosocleC22×C43C26
FrattiniC22C25×D43
FittingC22×C4×D4×C43C2
socleC23×C43C25
prime radicalC23×D4×C43C22
hypercenterC22×C4×D4D43
hypocenterC43C2×#3501
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C23 ◁ C22×C4×D4

7738 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, 1077472);