#35314174

order	21248
automorphism	?
homology	Abelianization (H₁) = C₂²×C₈ · Schur multiplier (H₂) = C₂³

Aliases

No aliases for this group.

Fitting	C₈₃×#1334 ⋊ C₂
Sylow	C₈₃ ⋊ #11598

402 conjugacy classes of subgroups; only the 105 normal subgroups are shown.

normal subgroups only

This group has 402 conjugacy classes of subgroups — too many to draw. Only its 105 normal subgroups are shown.

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

μ_t(G) = 10624

Polycyclic presentation:

2^8,83|a^2=e,d^2=f,e^2=g,f^2=h,b^a=bd,d^a=df,f^a=fh,c^b=ch,d^b=dfh,e^b=eh,f^b=fh,i^b=i^82,i^c=i^82

1376 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(21248, 79338);