Finite Group Databasebeta

← C5×C59 #64435

Subgroups — C5×C59 #64435

Order 295.

4 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C59C511yesmaximal, characteristic, direct product factor, Sylow
2C5C5911yesmaximal, characteristic, direct product factor, Sylow
subgroupG/H
centerGC1
commutator, FrattiniC1G
LCSG ▷ C1
UCSC1 ◁ G

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C59C5direct (N × H)
2. C5C59direct (N × H)

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C595
C559