Finite Group Databasebeta

C2×C22⋊Dic911 #44415488

order29152
automorphism?
homologyAbelianization (H1) = C22×C4 · Schur multiplier (H2) = C24

Aliases

direct productC2×C22⋊Dic911

Splittings

SylowC911 ⋊ C2×C22⋊C4

Subgroups

subgroupG/H
centerC23C2×D911
commutatorC2×C911C22×C4
FrattiniC22C22×D911
Fitting, prime radicalC24×C911C2
socleC23×C911C22
cosocleC22×C911C23
hypercenterC24D911
hypocenterC911C2×C22⋊C4
LCSG ▷ C2×C911 ▷ C911
UCSC1 ◁ C23 ◁ C24

132 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 14576

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, 98);