Finite Group Databasebeta

C2×C22⋊Dic967 #44526073

order30944
automorphism?
homologyAbelianization (H1) = C22×C4 · Schur multiplier (H2) = C24

Aliases

direct productC2×C22⋊Dic967

Splittings

SylowC967 ⋊ C2×C22⋊C4

Subgroups

subgroupG/H
centerC23C2×D967
commutatorC2×C967C22×C4
FrattiniC22C22×D967
Fitting, prime radicalC24×C967C2
socleC23×C967C22
cosocleC22×C967C23
hypercenterC24D967
hypocenterC967C2×C22⋊C4
LCSG ▷ C2×C967 ▷ C967
UCSC1 ◁ C23 ◁ C24

132 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 15472

Conjugacy classes & character table

7748 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(30944, 98);