Finite Group Databasebeta

C2×#14519695 #16839741

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

Aliases

direct productC2×#14519695

Splittings

SylowC61 ⋊ C2×#101

Subgroups

subgroupG/H
centerC22#11758198
commutatorC22×C61C22×C4
FrattiniC2×C4C22×D61
FittingC2×M16×C61C2
socleC22×C61C22⋊C4
prime radicalC23×C61C2×C4
cosocleC2×C4×C61C23
hypercenterC2×M16D61
hypocenterC61C2×#101
LCSG ▷ C22×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C22×C4 ◁ C2×M16

146 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1952

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3904, 528);