Finite Group Databasebeta

C2×#31775772 #46854061

order34976
automorphism?
homologyAbelianization (H1) = C22×C4 · Schur multiplier (H2) = C23

Aliases

direct productC2×#31775772

Splittings

SylowC1093 ⋊ C2×C4⋊C4

Subgroups

subgroupG/H
centerC23C2×D1093
commutatorC2×C1093C22×C4
FrattiniC22C22×D1093
FittingC22×C4×C1093C2
socle, prime radicalC23×C1093C22
cosocleC22×C1093C23
hypercenterC22×C4D1093
hypocenterC1093C2×C4⋊C4
LCSG ▷ C2×C1093 ▷ C1093
UCSC1 ◁ C23 ◁ C22×C4

92 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 34976

Conjugacy classes & character table

8756 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(34976, 100);