Finite Group Databasebeta

C2×#14519702 #16839754

order3904
automorphism?
homologyAbelianization (H1) = C22×C4 · Schur multiplier (H2) = C23

Aliases

direct productC2×#14519702

Splittings

SylowC61 ⋊ C2×#103

Subgroups

subgroupG/H
centerC23D244
commutatorC4×C61C22×C4
FrattiniC2×C4C22×D61
FittingC22×C8×C61C2
socle, prime radicalC23×C61D4
cosocleC2×C4×C61C23
hypercenterC22×C8D61
hypocenterC61C2×#103
LCSG ▷ C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C22×C4 ◁ C22×C8

162 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 3904

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3904, 541);