Finite Group Databasebeta

C2×#28414058 #44442491

order29504
automorphism?
homologyAbelianization (H1) = C22×C8 · Schur multiplier (H2) = C22

Aliases

direct productC2×#28414058

Splittings

SylowC461 ⋊ C2×M32

Subgroups

subgroupG/H
centerC2×C8C2×D461
commutatorC2×C461C22×C8
FrattiniC8C22×D461
FittingC22×C8×C461C2
socleC22×C461C2×C8
prime radicalC23×C461C8
cosocleC8×C461C23
hypercenterC22×C8D461
hypocenterC461C2×M32
LCSG ▷ C2×C461 ▷ C461
UCSC1 ◁ C2×C8 ◁ C22×C8

90 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 14752

Conjugacy classes & character table

7400 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(29504, 964);