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C4⋊C4×D947 #44476203

order30304
automorphism?
homologyAbelianization (H1) = C22×C4 · Schur multiplier (H2) = C23

Aliases

direct productC4⋊C4×D947

Splittings

FittingC4⋊C4×C947 ⋊ C2
SylowC947 ⋊ C2×C4⋊C4

Subgroups

subgroupG/H
center, FrattiniC22C22×D947
commutatorC2×C947C22×C4
FittingC4⋊C4×C947C2
socle, cosocleC22×C947C23
prime radicalC22×D947C22
hypercenterC4⋊C4D947
hypocenterC947C2×C4⋊C4
LCSG ▷ C2×C947 ▷ C947
UCSC1 ◁ C22 ◁ C4⋊C4

92 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 15152

Conjugacy classes & character table

4750 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(30304, 99);