Finite Group Databasebeta

C2×#14519777 #16840306

order3904
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C25

Aliases

direct productC2×#14519777

Splittings

SylowC61 ⋊ C2×C4⋊Q8

Subgroups

subgroupG/H
centerC23C22×D61
commutator, cosocleC22×C61C24
FrattiniC22C23×D61
FittingC2×C42×C61C2
socle, prime radicalC23×C61C23
hypercenterC2×C42D61
hypocenterC61C2×C4⋊Q8
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×C42

290 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, 1093);