#45688382

order	33344
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄ · Schur multiplier (H₂) = C₂²×C₄

Aliases

No aliases for this group.

Fitting	C₂²⋊C₄×C₅₂₁ ⋊ C₄
Sylow	C₅₂₁ ⋊ #388

190 conjugacy classes of subgroups; only the 54 normal subgroups are shown.

normal subgroups only

This group has 190 conjugacy classes of subgroups — too many to draw. Only its 54 normal subgroups are shown.

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

μ_t(G) = 8336

Polycyclic presentation:

2^6,521|a^2=f,b^2=df,c^2=d,b^a=bd,c^a=ce,g^a=g^286,g^b=g^235,g^f=g^520

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(33344, 1499);