Finite Group Databasebeta

C2×#14519832 #16840720

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

Aliases

direct productC2×#14519832

Splittings

SylowC61 ⋊ C2×#97

Subgroups

subgroupG/H
centerC23C2×#6923
commutatorC2×C61C2×C42
FrattiniC22C22×#6923
FittingC22×C4×C61C4
socle, prime radicalC23×C61C2×C4
cosocleC2×Dic61C23
hypercenterC22×C4#6923
hypocenterC61C2×#97
LCSG ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C22×C4

146 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 3904

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, 1507);