#36485482

order	22784
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄ · Schur multiplier (H₂) = C₂³×C₄²

Aliases

No aliases for this group.

Fitting	C₂×#384×C₈₉ ⋊ C₂
Sylow	C₈₉ ⋊ #14665

1530 conjugacy classes of subgroups; only the 371 normal subgroups are shown.

normal subgroups only

This group has 1530 conjugacy classes of subgroups — too many to draw. Only its 371 normal subgroups are shown.

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

μ_t(G) = 11392

Polycyclic presentation:

2^8,89|a^2=e,b^2=h,d^2=ef,b^a=be,c^a=cf,c^b=cg,d^b=def,d^c=de,i^c=i^88

2516 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(22784, 100622);