Finite Group Databasebeta

C2×#88103 #11719093

order832
isoclinismisoclinic class of #88101
automorphism?
homologyAbelianization (H1) = C22×C4 · Schur multiplier (H2) = C22

Aliases

direct productC2×#88103

Splittings

SylowC13 ⋊ C2×#108

Subgroups

subgroupG/H
centerC22C4⋊#261
commutatorC4×C13C22×C4
FrattiniC4C22×#261
FittingC2×C8×C13C4
socleC22×C13C4⋊C4
prime radicalC22×D13Q8
cosocleC4×D13C23
hypercenterC2×C8#261
hypocenterC13C2×#108
LCSG ▷ C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22 ◁ C2×C4 ◁ C2×C8

106 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 416

Conjugacy classes & character table

76 conjugacy classes — view the full character table.

Relationships

maximal subgroup of#13129901, #13129905, #13129910, …
maximal normal subgroup of#13129901, #13129905, #13129910, …
maximal quotient ofC2×#11718253, C2×#11718256, #13130384, …

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(832, 1059);