Finite Group Databasebeta

C2×C22⋊Dic79 #14579113

order2528
automorphism?
homologyAbelianization (H1) = C22×C4 · Schur multiplier (H2) = C24

Aliases

direct productC2×C22⋊Dic79

Splittings

SylowC79 ⋊ C2×C22⋊C4

Subgroups

subgroupG/H
centerC23C2×D79
commutatorC2×C79C22×C4
FrattiniC22C22×D79
Fitting, prime radicalC24×C79C2
socleC23×C79C22
cosocleC22×C79C23
hypercenterC24D79
hypocenterC79C2×C22⋊C4
LCSG ▷ C2×C79 ▷ C79
UCSC1 ◁ C23 ◁ C24

132 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1264

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2528, 98);