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C4⋊C4×D971 #44527104

order31072
automorphism?
homologyAbelianization (H1) = C22×C4 · Schur multiplier (H2) = C23

Aliases

direct productC4⋊C4×D971

Splittings

FittingC4⋊C4×C971 ⋊ C2
SylowC971 ⋊ C2×C4⋊C4

Subgroups

subgroupG/H
center, FrattiniC22C22×D971
commutatorC2×C971C22×C4
FittingC4⋊C4×C971C2
socle, cosocleC22×C971C23
prime radicalC22×D971C22
hypercenterC4⋊C4D971
hypocenterC971C2×C4⋊C4
LCSG ▷ C2×C971 ▷ C971
UCSC1 ◁ C22 ◁ C4⋊C4

92 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 15536

Conjugacy classes & character table

4870 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31072, 99);