Finite Group Databasebeta

C2×#14519831 #16840719

order3904
automorphism?
homologyAbelianization (H1) = C2×C42 · Schur multiplier (H2) = C23

Aliases

direct productC2×#14519831

Splittings

FittingC2×C8×C61 ⋊ C4
SylowC61 ⋊ C2×#97

Subgroups

subgroupG/H
centerC2×C4C2×#6923
commutatorC2×C61C2×C42
FrattiniC4C22×#6923
FittingC2×C8×C61C4
socleC22×C61C42
prime radicalC22×D61C2×C4
cosocleC4×D61C23
hypercenterC2×C8#6923
hypocenterC61C2×#97
LCSG ▷ C2×C61 ▷ C61
UCSC1 ◁ C2×C4 ◁ C2×C8

146 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 976

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3904, 1506);