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#103×C₃₇₃ #26045656

order	11936
nilpotency class	3
isoclinism	isoclinic class of D₈
automorphism	?
homology	Abelianization (H₁) = C₂×C₄×C₃₇₃ · Schur multiplier (H₂) = C₂

Aliases

#103×C₃₇₃

Subgroups

	subgroup	G/H
center, socle, prime radical	C₂²×C₃₇₃	D₄
commutator	C₄	C₂×C₄×C₃₇₃
Frattini, cosocle	C₂×C₄	C₂²×C₃₇₃
LCS	G ▷ C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₃₇₃ ◁ C₂×C₄×C₃₇₃ ◁ G

42 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

5222 conjugacy classes. The character table is too large to display.

Relationships

Fitting subgroup of	#103×D₃₇₃, #37559417, #37559422, …
maximal subgroup of	C₂×#103×C₃₇₃, #416×C₃₇₃, #417×C₃₇₃, …
maximal normal subgroup of	C₂×#103×C₃₇₃, #416×C₃₇₃, #417×C₃₇₃, …
maximal quotient of	Q₈⋊C₈×C₃₇₃, #328×C₃₇₃, #332×C₃₇₃, …

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11936, 10);