Finite Group Databasebeta

C4×#20263233 #38740932

order25216
automorphism?
homologyAbelianization (H1) = C43 · Schur multiplier (H2) = C23×C42

Aliases

direct productC4×#20263233

Splittings

SylowC197 ⋊ C4×#95

Subgroups

subgroupG/H
centerC23×C4C2×D197
commutatorC2×C197C43
FrattiniC24C22×D197
FittingC22×C42×C197C2
socle, prime radical, cosocleC24×C197C23
hypercenterC22×C42D197
hypocenterC197C4×#95
LCSG ▷ C2×C197 ▷ C197
UCSC1 ◁ C23×C4 ◁ C22×C42

752 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 25216

Conjugacy classes & character table

6352 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(25216, 2730);