Finite Group Databasebeta

C2×#14268631 #16813627

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

Aliases

direct productC2×#14268631

Splittings

SylowC113 ⋊ C2×M16

Subgroups

subgroupG/H
centerC2×C4C2×D113
commutatorC2×C113C22×C4
FrattiniC4C22×D113
FittingC22×C4×C113C2
socleC22×C113C2×C4
prime radicalC23×C113C4
cosocleC4×C113C23
hypercenterC22×C4D113
hypocenterC113C2×M16
LCSG ▷ C2×C113 ▷ C113
UCSC1 ◁ C2×C4 ◁ C22×C4

68 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1808

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3616, 151);