Finite Group Databasebeta

C4×C199⋊#95 #38767070

order25472
automorphism?
homologyAbelianization (H1) = C43 · Schur multiplier (H2) = C23×C42

Aliases

direct productC4×C199⋊#95

Splittings

SylowC199 ⋊ C4×#95

Subgroups

subgroupG/H
centerC23×C4C2×D199
commutatorC2×C199C43
FrattiniC24C22×D199
FittingC22×C42×C199C2
socle, prime radical, cosocleC24×C199C23
hypercenterC22×C42D199
hypocenterC199C4×#95
LCSG ▷ C2×C199 ▷ C199
UCSC1 ◁ C23×C4 ◁ C22×C42

752 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, 2730);