#26115809

order	12032
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄ · Schur multiplier (H₂) = C₂³×C₄

Aliases

No aliases for this group.

Fitting	C₄₇×#1752 ⋊ C₂
Sylow	C₄₇ ⋊ #9785

594 conjugacy classes of subgroups; only the 123 normal subgroups are shown.

normal subgroups only

This group has 594 conjugacy classes of subgroups — too many to draw. Only its 123 normal subgroups are shown.

Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.

Polycyclic presentation:

2^8,47|a^2=f,b^2=dfg,c^2=e,d^2=gh,e^2=gh,b^a=bd,c^a=ce,d^a=dg,e^a=egh,i^a=i^46,c^b=cg,d^b=dh,f^b=fh

1328 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 69099);