Finite Group Databasebeta

C2×C4×C83⋊#95 #35325473

order21248
automorphism?
homologyAbelianization (H1) = C2×C43 · Schur multiplier (H2) = C26×C42

Aliases

direct productC2×C4×C83⋊#95

Splittings

SylowC83 ⋊ C2×C4×#95

Subgroups

subgroupG/H
centerC24×C4C2×D83
commutatorC2×C83C2×C43
FrattiniC24C23×D83
FittingC23×C42×C83C2
socle, prime radicalC25×C83C23
cosocleC24×C83C24
hypercenterC23×C42D83
hypocenterC83C2×C4×#95
LCSG ▷ C2×C83 ▷ C83
UCSC1 ◁ C24×C4 ◁ C23×C42

4462 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 21248

Conjugacy classes & character table

5408 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(21248, 90637);