#31800810

order	17728
automorphism	?
homology	Abelianization (H₁) = C₂⁴ · Schur multiplier (H₂) = C₂⁵

Aliases

No aliases for this group.

Fitting	2₋¹⁺⁴×C₂₇₇ ⋊ C₂
Sylow	C₂₇₇ ⋊ #577

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

normal subgroups only

This group has 258 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) = 4432

Polycyclic presentation:

2^6,277|a^2=f,e^2=f,b^a=be,e^a=ef,e^b=ef,g^b=g^276,d^c=df

2368 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(17728, 1357);