Finite Group Databasebeta

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C4⋊C4×D619 #34090306

order19808
automorphism?
homologyAbelianization (H1) = C22×C4 · Schur multiplier (H2) = C23

Aliases

direct productC4⋊C4×D619

Splittings

FittingC4⋊C4×C619 ⋊ C2
SylowC619 ⋊ C2×C4⋊C4

Subgroups

subgroupG/H
center, FrattiniC22C22×D619
commutatorC2×C619C22×C4
FittingC4⋊C4×C619C2
socle, cosocleC22×C619C23
prime radicalC22×D619C22
hypercenterC4⋊C4D619
hypocenterC619C2×C4⋊C4
LCSG ▷ C2×C619 ▷ C619
UCSC1 ◁ C22 ◁ C4⋊C4

92 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 9904

Conjugacy classes & character table

3110 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(19808, 99);