Finite Group Databasebeta

C2×Dic79⋊C4 #14579115

order2528
automorphism?
homologyAbelianization (H1) = C22×C4 · Schur multiplier (H2) = C23

Aliases

direct productC2×Dic79⋊C4

Splittings

SylowC79 ⋊ C2×C4⋊C4

Subgroups

subgroupG/H
centerC23C2×D79
commutatorC2×C79C22×C4
FrattiniC22C22×D79
FittingC22×C4×C79C2
socle, prime radicalC23×C79C22
cosocleC22×C79C23
hypercenterC22×C4D79
hypocenterC79C2×C4⋊C4
LCSG ▷ C2×C79 ▷ C79
UCSC1 ◁ C23 ◁ C22×C4

92 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 2528

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, 100);