Finite Group Databasebeta

C2×Dic911⋊C4 #44415490

order29152
automorphism?
homologyAbelianization (H1) = C22×C4 · Schur multiplier (H2) = C23

Aliases

direct productC2×Dic911⋊C4

Splittings

SylowC911 ⋊ C2×C4⋊C4

Subgroups

subgroupG/H
centerC23C2×D911
commutatorC2×C911C22×C4
FrattiniC22C22×D911
FittingC22×C4×C911C2
socle, prime radicalC23×C911C22
cosocleC22×C911C23
hypercenterC22×C4D911
hypocenterC911C2×C4⋊C4
LCSG ▷ C2×C911 ▷ C911
UCSC1 ◁ C23 ◁ C22×C4

92 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 29152

Conjugacy classes & character table

7300 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(29152, 100);