Finite Group Databasebeta

C4×#20263866 #38768535

order25472
automorphism?
homologyAbelianization (H1) = C43 · Schur multiplier (H2) = C2×C42

Aliases

direct productC4×#20263866

Splittings

SylowC199 ⋊ C4×#97

Subgroups

subgroupG/H
centerC2×C42C2×D199
commutatorC2×C199C43
FrattiniC22×C4C22×D199
FittingC43×C199C2
socle, prime radicalC23×C199C22×C4
cosocleC22×C4×C199C23
hypercenterC43D199
hypocenterC199C4×#97
LCSG ▷ C2×C199 ▷ C199
UCSC1 ◁ C2×C42 ◁ C43

360 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 25472

Conjugacy classes & character table

6416 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(25472, 4195);