Finite Group Databasebeta

C2×#13095520 #15690894

order3104
automorphism?
homologyAbelianization (H1) = C22×C4 · Schur multiplier (H2) = C22

Aliases

direct productC2×#13095520

Splittings

SylowC97 ⋊ C2×M16

Subgroups

subgroupG/H
centerC22C2×#87604
commutatorC2×C97C22×C4
FrattiniC2C22×#87604
Fitting, prime radicalC23×C97C4
socleC22×C97C2×C4
cosocleDic97C23
hypercenterC23#87604
hypocenterC97C2×M16
LCSG ▷ C2×C97 ▷ C97
UCSC1 ◁ C22 ◁ C23

68 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1552

Conjugacy classes & character table

212 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3104, 230);