Finite Group Databasebeta

C2×C4⋊Dic967 #44526076

order30944
automorphism?
homologyAbelianization (H1) = C22×C4 · Schur multiplier (H2) = C23

Aliases

direct productC2×C4⋊Dic967

Splittings

SylowC967 ⋊ C2×C4⋊C4

Subgroups

subgroupG/H
centerC23C2×D967
commutatorC2×C967C22×C4
FrattiniC22C22×D967
FittingC22×C4×C967C2
socle, prime radicalC23×C967C22
cosocleC22×C967C23
hypercenterC22×C4D967
hypocenterC967C2×C4⋊C4
LCSG ▷ C2×C967 ▷ C967
UCSC1 ◁ C23 ◁ C22×C4

92 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 30944

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, 101);