Finite Group Databasebeta

C2×D6296 #38737978

order25184
automorphism?
homologyAbelianization (H1) = C23 · Schur multiplier (H2) = C23

Aliases

direct productC2×D6296

Splittings

FittingC2×C8×C787 ⋊ C2
SylowC787 ⋊ C2×D8

Subgroups

subgroupG/H
centerC22D3148
commutator, cosocleC4×C787C23
FrattiniC4C22×D787
FittingC2×C8×C787C2
socleC22×C787D4
hypercenterC2×C8D787
hypocenterC787C2×D8
LCSG ▷ C4×C787 ▷ C2×C787 ▷ C787
UCSC1 ◁ C22 ◁ C2×C4 ◁ C2×C8

76 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 12592

Conjugacy classes & character table

6302 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(25184, 157);