Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C27 |
No aliases for this group.
| Fitting | #386×C79 ⋊ C2 |
| Sylow | C79 ⋊ C4×#120 |
1224 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,79|a^2=g,d^2=g,b^a=be,c^a=cf,h^a=h^78,h^c=h^78,h^d=h^781148 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34203400, #34204231, #34294248, … |
| maximal normal subgroup of | #34203400, #34204231, #34294248, … |
| maximal quotient of | #386×Dic79, #34209420, #34209433, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 7015);