Finite Group Databasebeta

C2×#14545946 #17983011

order4352
automorphism?
homologyAbelianization (H1) = C22×C4×C8 · Schur multiplier (H2) = C24×C4

Aliases

direct productC2×#14545946

Splittings

SylowC17 ⋊ C2×#2108

Subgroups

subgroupG/H
centerC23C22×#3633
commutatorC2×C17C22×C4×C8
FrattiniC22C23×#3633
FittingC2×C4⋊C4×C17C8
socleC23×C17C22×C8
prime radicalC23×D17C2×C8
cosocleC2×#3624C24
hypercenterC2×C4⋊C4#3633
hypocenterC17C2×#2108
LCSG ▷ C2×C17 ▷ C17
UCSC1 ◁ C23 ◁ C2×C4⋊C4

854 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 2176

Conjugacy classes & character table

200 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(4352, 1118255);