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C4⋊C4×#6090 #15778263

order3328
automorphism?
homologyAbelianization (H1) = C2×C4×C16 · Schur multiplier (H2) = C22×C4

Aliases

direct productC4⋊C4×#6090

Splittings

SylowC13 ⋊ C16×C4⋊C4

Subgroups

subgroupG/H
center, FrattiniC22×C8C22×D13
commutatorC2×C13C2×C4×C16
FittingC8×C13×C4⋊C4C2
socle, prime radicalC23×C13C22×C8
cosocleC22×C8×C13C23
hypercenterC8×C4⋊C4D13
hypocenterC13C16×C4⋊C4
LCSG ▷ C2×C13 ▷ C13
UCSC1 ◁ C22×C8 ◁ C8×C4⋊C4

398 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 3328

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 84912);