Finite Group Databasebeta

← Prev (#24919152) Next (#24919154) →

SD16×C22⋊D83 #24919153

order10624
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C25

Aliases

direct productSD16×C22⋊D83

Splittings

FittingC22×SD16×C83 ⋊ C2
SylowC83 ⋊ D4×SD16

Subgroups

subgroupG/H
centerC22C2×D4×D83
commutator, cosocleC2×C4×C83C24
FrattiniC2×C4C23×D83
FittingC22×SD16×C83C2
socleC22×C83C22×D4
prime radicalD4×C22⋊D83C2
hypercenterC22×SD16D83
hypocenterC83D4×SD16
LCSG ▷ C2×C4×C83 ▷ C2×C83 ▷ C83
UCSC1 ◁ C22 ◁ C22×C4 ◁ C22×SD16

546 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1183 conjugacy classes. The character table is too large to display.

Relationships

maximal subgroup ofD4×SD16×D83, C2×SD16×C22⋊D83, #36279693, …
maximal normal subgroup ofD4×SD16×D83, C2×SD16×C22⋊D83, #36279693, …
maximal quotient of#35393867, #35393872, #35393882, …

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(10624, 16200);