Finite Group Databasebeta

C2×#14545854 #17982377

order4352
automorphism?
homologyAbelianization (H1) = C2×C4×C16 · Schur multiplier (H2) = C25

Aliases

direct productC2×#14545854

Splittings

SylowC17 ⋊ C2×#1374

Subgroups

subgroupG/H
centerC24C2×#3633
commutatorC2×C17C2×C4×C16
FrattiniC23C22×#3633
FittingC23×C4×C17C8
socle, prime radicalC24×C17C2×C8
cosocleC22×#3624C23
hypercenterC23×C4#3633
hypocenterC17C2×#1374
LCSG ▷ C2×C17 ▷ C17
UCSC1 ◁ C24 ◁ C23×C4

726 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 4352

Conjugacy classes & character table

224 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(4352, 1117621);