#46831052

order	34624
automorphism	?
homology	Abelianization (H₁) = C₄² · Schur multiplier (H₂) = C₂³

Aliases

No aliases for this group.

Fitting	C₂²⋊C₄×C₅₄₁ ⋊ C₄
Sylow	C₅₄₁ ⋊ #342

142 conjugacy classes of subgroups; only the 36 normal subgroups are shown.

normal subgroups only

This group has 142 conjugacy classes of subgroups — too many to draw. Only its 36 normal subgroups are shown.

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

μ_t(G) = 4328

Polycyclic presentation:

2^6,541|a^2=d,b^2=e,b^a=bc,c^a=cf,d^b=df,g^b=g^52,g^e=g^540

1372 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(34624, 1426);