#46830973

order	34624
automorphism	?
homology	Abelianization (H₁) = C₂⁴ · Schur multiplier (H₂) = C₂⁵

Aliases

No aliases for this group.

Fitting	C₂×#41×C₅₄₁ ⋊ C₂
Sylow	C₅₄₁ ⋊ #575

262 conjugacy classes of subgroups; only the 107 normal subgroups are shown.

normal subgroups only

This group has 262 conjugacy classes of subgroups — too many to draw. Only its 107 normal subgroups are shown.

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

μ_t(G) = 8656

Polycyclic presentation:

2^6,541|d^2=f,e^2=f,b^a=be,c^a=cf,e^a=ef,e^b=ef,g^b=g^540

5422 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(34624, 1347);