Subgroups — C₂×#32916126 #49152158

Order 37278.

24 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#32916126	C₂	1	1	yes	maximal, characteristic, direct product factor, Hall
2	C₂×C₁₉⋊C₃×C₁₀₉	C₃	1	1	yes	maximal, characteristic
3	C₁₉⋊C₃×C₁₀₉	C₂×C₃	1	1	yes	characteristic
4	C₂×C₁₉×C₁₀₉	C₉	1	1	yes	characteristic, complemented, Hall
5	C₁₉×C₁₀₉	C₂×C₉	1	1	yes	characteristic, complemented, Hall
6	C₂×#11758279	—	19	1	no	maximal, Hall
7	#11758279	—	19	1	no	Hall
8	C₂×C₃×C₁₀₉	—	19	1	no	—
9	C₂×#4296	—	109	1	no	maximal, Hall
10	C₃×C₁₀₉	—	19	1	no	—
11	C₂×C₁₀₉	#4296	1	1	yes	characteristic, complemented, Hall
12	#4296	—	109	1	no	Hall
13	C₂×C₁₉⋊C₃	C₁₀₉⋊C₃	1	1	yes	characteristic
14	C₁₀₉	C₂×#4296	1	1	yes	characteristic, complemented, Sylow
15	C₁₉⋊C₃	C₂×C₁₀₉⋊C₃	1	1	yes	characteristic
16	C₂×C₁₉	#11758279	1	1	yes	characteristic, complemented, Hall
17	C₁₉	C₂×#11758279	1	1	yes	characteristic, complemented, Sylow
18	C₂×C₉	—	2071	1	no	Hall
19	C₉	—	2071	1	no	Sylow
20	C₂×C₃	—	19	1	no	—
21	C₃	—	19	1	no	—
22	C₂	#32916126	1	1	yes	characteristic, direct product factor, Sylow

Splittings G = N ⋊ H with N normal; H ≅ G/N.

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.