Finite Group Databasebeta

C2×#21427387 #28754967

order15104
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C28

Aliases

direct productC2×#21427387

Splittings

SylowC59 ⋊ C2×#2399

Subgroups

subgroupG/H
centerC23×C4C22×D59
commutator, cosocleC23×C59C25
FrattiniC23C24×D59
FittingC22×C4×Q8×C59C2
socle, prime radicalC24×C59C24
hypercenterC22×C4×Q8D59
hypocenterC59C2×#2399
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23×C4 ◁ C22×C4×Q8

2814 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 15104

Conjugacy classes & character table

2408 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(15104, 335846);