Finite Group Databasebeta

C2×#14268657 #16813708

order3616
automorphism?
homologyAbelianization (H1) = C22×C4 · Schur multiplier (H2) = C22

Aliases

direct productC2×#14268657

Splittings

SylowC113 ⋊ C2×M16

Subgroups

subgroupG/H
centerC22C2×#90673
commutatorC2×C113C22×C4
FrattiniC2C22×#90673
FittingC2×C4×C113C4
socleC22×C113C2×C4
prime radicalC22×D113C4
cosocleDic113C23
hypercenterC2×C4#90673
hypocenterC113C2×M16
LCSG ▷ C2×C113 ▷ C113
UCSC1 ◁ C22 ◁ C2×C4

68 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1808

Conjugacy classes & character table

244 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3616, 232);