Finite Group Databasebeta

C2×Dic3148 #38737985

order25184
automorphism?
homologyAbelianization (H1) = C23 · Schur multiplier (H2) = C22

Aliases

direct productC2×Dic3148

Splittings

SylowC787 ⋊ C2×Q16

Subgroups

subgroupG/H
centerC22D3148
commutator, cosocleC4×C787C23
FrattiniC4C22×D787
FittingC2×C8×C787C2
socle, prime radicalC22×C787D4
hypercenterC2×C8D787
hypocenterC787C2×Q16
LCSG ▷ C4×C787 ▷ C2×C787 ▷ C787
UCSC1 ◁ C22 ◁ C2×C4 ◁ C2×C8

60 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 25184

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, 164);