Finite Group Databasebeta

C2×#28414039 #44442063

order29504
automorphism?
homologyAbelianization (H1) = C22×C4 · Schur multiplier (H2) = C24

Aliases

direct productC2×#28414039

Splittings

SylowC461 ⋊ C2×#102

Subgroups

subgroupG/H
centerC23C22⋊D461
commutatorC4×C461C22×C4
FrattiniC2×C4C22×D461
Fitting, prime radicalC22×D4×C461C2
socleC23×C461D4
cosocleC2×C4×C461C23
hypercenterC22×D4D461
hypocenterC461C2×#102
LCSG ▷ C4×C461 ▷ C2×C461 ▷ C461
UCSC1 ◁ C23 ◁ C22×C4 ◁ C22×D4

202 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 14752

Conjugacy classes & character table

4628 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(29504, 536);