Subgroups — C₁₃₉×#37290 #48031886

Order 35584.

1962 conjugacy classes of subgroups.

The subgroup lattice has 1096 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#2856×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
2	#2850×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
3	#2756×C₁₃₉	C₂	1	2	yes	maximal, complemented
4	#2753×C₁₃₉	C₂	1	2	yes	maximal, complemented
5	#2749×C₁₃₉	C₂	1	2	yes	maximal, complemented
6	#2706×C₁₃₉	C₂	1	2	yes	maximal, complemented
7	#2703×C₁₃₉	C₂	1	2	yes	maximal, complemented
8	#2699×C₁₃₉	C₂	1	2	yes	maximal, complemented
9	#2688×C₁₃₉	C₂	1	2	yes	maximal, complemented
10	#2671×C₁₃₉	C₂	1	2	yes	maximal, complemented
11	#2657×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
12	#2647×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
13	#2448×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
14	#2447×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
15	#2445×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
16	#2445×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
17	#2428×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
18	#2428×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
19	#2427×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
20	#2426×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
21	#2328×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
22	#2326×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
23	#2283×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#127×C₁₃₉	C₂²	1	1	yes	characteristic
25	C₂×#127×C₁₃₉	C₂²	1	1	yes	characteristic
26	C₂×#127×C₁₃₉	C₂²	1	1	yes	characteristic
27	C₂×#124×C₁₃₉	C₂²	1	1	yes	characteristic
28	C₂×#124×C₁₃₉	C₂²	1	1	yes	characteristic
29	C₂×#124×C₁₃₉	C₂²	1	1	yes	characteristic
30	C₂×#123×C₁₃₉	C₂²	1	2	yes	—
31	C₂×#123×C₁₃₉	C₂²	1	2	yes	—
32	C₂×C₂²⋊Q₈×C₁₃₉	C₂²	1	1	yes	characteristic
33	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic
34	C₂×#121×C₁₃₉	C₂²	1	2	yes	—
35	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic
36	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic
37	C₂×#121×C₁₃₉	C₂²	1	2	yes	—
38	C₂×#121×C₁₃₉	C₂²	1	2	yes	—
39	C₂×#121×C₁₃₉	C₂²	1	2	yes	—
40	C₂×C₄×Q₈×C₁₃₉	C₂²	1	1	yes	characteristic
41	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
42	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
43	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
44	C₂²×C₄²×C₁₃₉	C₂²	1	1	yes	characteristic
45	#400×C₁₃₉	C₂²	1	2	yes	—
46	#400×C₁₃₉	C₂²	1	2	yes	—
47	#399×C₁₃₉	C₂²	1	2	yes	—
48	#398×C₁₃₉	C₂²	1	2	yes	—
49	#398×C₁₃₉	C₂²	1	2	yes	—
50	#397×C₁₃₉	C₂²	1	2	yes	—
51	#397×C₁₃₉	C₂²	1	2	yes	—
52	#397×C₁₃₉	C₂²	1	2	yes	—
53	#397×C₁₃₉	C₂²	1	2	yes	—
54	#396×C₁₃₉	C₂²	1	2	yes	—
55	#394×C₁₃₉	C₂²	1	2	yes	—
56	#394×C₁₃₉	C₂²	1	2	yes	—
57	#394×C₁₃₉	C₂²	1	2	yes	—
58	#394×C₁₃₉	C₂²	1	2	yes	—
59	#394×C₁₃₉	C₂²	1	2	yes	—
60	#394×C₁₃₉	C₂²	1	2	yes	—
61	#394×C₁₃₉	C₂²	1	2	yes	—
62	#394×C₁₃₉	C₂²	1	2	yes	—
63	#392×C₁₃₉	C₂²	1	2	yes	—
64	#392×C₁₃₉	C₂²	1	2	yes	—
65	#392×C₁₃₉	C₂²	1	2	yes	—
66	#392×C₁₃₉	C₂²	1	2	yes	—
67	#392×C₁₃₉	C₂²	1	2	yes	—
68	#392×C₁₃₉	C₂²	1	2	yes	—
69	#391×C₁₃₉	C₂²	1	1	yes	characteristic
70	#391×C₁₃₉	C₂²	1	1	yes	characteristic
71	#390×C₁₃₉	C₂²	1	1	yes	characteristic
72	#390×C₁₃₉	C₂²	1	1	yes	characteristic
73	#390×C₁₃₉	C₂²	1	1	yes	characteristic
74	#390×C₁₃₉	C₂²	1	1	yes	characteristic
75	#390×C₁₃₉	C₂²	1	1	yes	characteristic
76	#390×C₁₃₉	C₂²	1	1	yes	characteristic
77	#390×C₁₃₉	C₂²	1	2	yes	—
78	#390×C₁₃₉	C₂²	1	2	yes	—
79	#390×C₁₃₉	C₂²	1	2	yes	—
80	#389×C₁₃₉	C₂²	1	1	yes	characteristic
81	#389×C₁₃₉	C₂²	1	1	yes	characteristic
82	#389×C₁₃₉	C₂²	1	1	yes	characteristic
83	#389×C₁₃₉	C₂²	1	1	yes	characteristic
84	#388×C₁₃₉	C₂²	1	2	yes	—
85	#388×C₁₃₉	C₂²	1	2	yes	—
86	#388×C₁₃₉	C₂²	1	2	yes	—
87	#388×C₁₃₉	C₂²	1	2	yes	—
88	#388×C₁₃₉	C₂²	1	2	yes	—
89	#388×C₁₃₉	C₂²	1	2	yes	—
90	#388×C₁₃₉	C₂²	1	2	yes	—
91	#386×C₁₃₉	C₂²	1	2	yes	—
92	#386×C₁₃₉	C₂²	1	2	yes	—
93	#386×C₁₃₉	C₂²	1	2	yes	—
94	#386×C₁₃₉	C₂²	1	2	yes	—
95	#386×C₁₃₉	C₂²	1	2	yes	—
96	#386×C₁₃₉	C₂²	1	2	yes	—
97	#386×C₁₃₉	C₂²	1	2	yes	—
98	#386×C₁₃₉	C₂²	1	2	yes	—
99	#386×C₁₃₉	C₂²	1	2	yes	—
100	#386×C₁₃₉	C₂²	1	2	yes	—
101	#386×C₁₃₉	C₂²	1	2	yes	—
102	#385×C₁₃₉	C₂²	1	2	yes	—
103	#385×C₁₃₉	C₂²	1	2	yes	—
104	#385×C₁₃₉	C₂²	1	2	yes	—
105	#384×C₁₃₉	C₂²	1	1	yes	characteristic
106	#383×C₁₃₉	C₂²	1	1	yes	characteristic
107	#383×C₁₃₉	C₂²	1	1	yes	characteristic
108	#382×C₁₃₉	C₂²	1	1	yes	characteristic
109	#382×C₁₃₉	C₂²	1	1	yes	characteristic
110	#382×C₁₃₉	C₂²	1	1	yes	characteristic
111	#381×C₁₃₉	C₂²	1	1	yes	characteristic
112	#381×C₁₃₉	C₂²	1	1	yes	characteristic
113	#381×C₁₃₉	C₂²	1	2	yes	—
114	#380×C₁₃₉	C₂²	1	1	yes	characteristic
115	#380×C₁₃₉	C₂²	1	1	yes	characteristic
116	#380×C₁₃₉	C₂²	1	2	yes	—
117	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
118	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
119	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
120	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
121	#376×C₁₃₉	C₂²	1	1	yes	characteristic
122	#376×C₁₃₉	C₂²	1	1	yes	characteristic
123	C₂²×Q₈×C₁₃₉	C₂³	1	1	yes	characteristic
124	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
125	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
126	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
127	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
128	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
129	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
130	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
131	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
132	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
133	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
134	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
135	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
136	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
137	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
138	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
139	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
140	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
141	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
142	#127×C₁₃₉	—	2	4	no	—
143	#127×C₁₃₉	—	4	2	no	—
144	#127×C₁₃₉	—	4	2	no	—
145	#124×C₁₃₉	—	2	4	no	—
146	#124×C₁₃₉	—	4	2	no	—
147	#124×C₁₃₉	—	4	2	no	—
148	#123×C₁₃₉	—	4	4	no	—
149	#123×C₁₃₉	—	4	4	no	—
150	C₂²⋊Q₈×C₁₃₉	—	4	2	no	—
151	#121×C₁₃₉	—	4	4	no	—
152	#121×C₁₃₉	—	4	4	no	—
153	#121×C₁₃₉	—	4	4	no	—
154	#121×C₁₃₉	—	4	2	no	—
155	#121×C₁₃₉	—	4	2	no	—
156	#121×C₁₃₉	—	4	2	no	—
157	#121×C₁₃₉	—	4	4	no	—
158	C₄×Q₈×C₁₃₉	—	4	2	no	—
159	C₄×D₄×C₁₃₉	—	4	2	no	—
160	C₄×D₄×C₁₃₉	—	4	2	no	—
161	C₄×D₄×C₁₃₉	—	4	2	no	—
162	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
163	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
164	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
165	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
166	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
167	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
168	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
169	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
170	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
171	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
172	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
173	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
174	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
175	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
176	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
177	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
178	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
179	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
180	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
181	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
182	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
183	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
184	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
185	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
186	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
187	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
188	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
189	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
190	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
191	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
192	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
193	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
194	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
195	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
196	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
197	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
198	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
199	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
200	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
201	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
202	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
203	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
204	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
205	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
206	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
207	C₂×C₄²×C₁₃₉	—	2	4	no	—
208	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
209	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
210	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
211	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
212	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
213	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
214	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
215	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
216	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
217	#95×C₁₃₉	C₂³	1	1	yes	characteristic
218	#95×C₁₃₉	C₂³	1	1	yes	characteristic
219	#95×C₁₃₉	C₂³	1	1	yes	characteristic
220	#95×C₁₃₉	C₂³	1	1	yes	characteristic
221	#95×C₁₃₉	C₂³	1	2	yes	—
222	#95×C₁₃₉	C₂³	1	2	yes	—
223	#95×C₁₃₉	C₂³	1	2	yes	—
224	#95×C₁₃₉	C₂³	1	2	yes	—
225	#95×C₁₃₉	C₂³	1	2	yes	—
226	#95×C₁₃₉	C₂³	1	2	yes	—
227	#95×C₁₃₉	C₂³	1	2	yes	—
228	#95×C₁₃₉	C₂³	1	1	yes	characteristic
229	#95×C₁₃₉	C₂³	1	1	yes	characteristic
230	#95×C₁₃₉	C₂³	1	2	yes	—
231	#95×C₁₃₉	C₂³	1	2	yes	—
232	#95×C₁₃₉	C₂³	1	2	yes	—
233	#95×C₁₃₉	C₂³	1	1	yes	characteristic
234	#95×C₁₃₉	C₂³	1	1	yes	characteristic
235	#95×C₁₃₉	C₂³	1	1	yes	characteristic
236	#95×C₁₃₉	C₂³	1	1	yes	characteristic
237	#95×C₁₃₉	C₂³	1	1	yes	characteristic
238	#95×C₁₃₉	C₂³	1	1	yes	characteristic
239	#95×C₁₃₉	C₂³	1	1	yes	characteristic
240	#95×C₁₃₉	C₂³	1	1	yes	characteristic
241	#95×C₁₃₉	C₂³	1	1	yes	characteristic
242	#95×C₁₃₉	C₂³	1	1	yes	characteristic
243	C₂⁴×C₁₃₉	C₂⁴	1	2	yes	—
244	C₂⁴×C₁₃₉	C₂⁴	1	2	yes	—
245	C₂⁴×C₁₃₉	C₂⁴	1	2	yes	—
246	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
247	C₂×Q₈×C₁₃₉	—	2	2	no	—
248	C₂×Q₈×C₁₃₉	—	2	2	no	—
249	C₂×Q₈×C₁₃₉	—	2	2	no	—
250	C₂×D₄×C₁₃₉	—	2	4	no	—
251	C₂×D₄×C₁₃₉	—	2	4	no	—
252	C₂×D₄×C₁₃₉	—	2	4	no	—
253	C₂×D₄×C₁₃₉	—	2	2	no	—
254	C₂×D₄×C₁₃₉	—	2	2	no	—
255	C₂×D₄×C₁₃₉	—	2	2	no	—
256	C₂×D₄×C₁₃₉	—	2	4	no	—
257	C₂×D₄×C₁₃₉	—	2	4	no	—
258	C₂×D₄×C₁₃₉	—	2	2	no	—
259	C₂×D₄×C₁₃₉	—	2	2	no	—
260	C₂×D₄×C₁₃₉	—	2	2	no	—
261	C₂×D₄×C₁₃₉	—	2	2	no	—
262	C₂×D₄×C₁₃₉	—	2	2	no	—
263	C₂×D₄×C₁₃₉	—	2	2	no	—
264	C₂×D₄×C₁₃₉	—	4	2	no	—
265	C₂×D₄×C₁₃₉	—	4	2	no	—
266	C₂×D₄×C₁₃₉	—	4	2	no	—
267	C₂×D₄×C₁₃₉	—	4	2	no	—
268	C₂×D₄×C₁₃₉	—	4	2	no	—
269	C₂×D₄×C₁₃₉	—	4	2	no	—
270	C₂×D₄×C₁₃₉	—	4	2	no	—
271	C₂×D₄×C₁₃₉	—	4	2	no	—
272	C₂×D₄×C₁₃₉	—	4	2	no	—
273	C₂×D₄×C₁₃₉	—	4	2	no	—
274	C₂×D₄×C₁₃₉	—	4	2	no	—
275	C₂×D₄×C₁₃₉	—	4	2	no	—
276	C₂×D₄×C₁₃₉	—	4	2	no	—
277	C₂×D₄×C₁₃₉	—	4	2	no	—
278	C₂×D₄×C₁₃₉	—	4	2	no	—
279	C₂×D₄×C₁₃₉	—	4	2	no	—
280	C₂×D₄×C₁₃₉	—	4	2	no	—
281	C₂×D₄×C₁₃₉	—	4	2	no	—
282	C₂×D₄×C₁₃₉	—	4	2	no	—
283	C₂×D₄×C₁₃₉	—	4	2	no	—
284	C₂×D₄×C₁₃₉	—	4	2	no	—
285	C₂×D₄×C₁₃₉	—	4	2	no	—
286	C₂²×C₄×C₁₃₉	—	2	2	no	—
287	C₂²×C₄×C₁₃₉	—	2	2	no	—
288	C₂²×C₄×C₁₃₉	—	2	2	no	—
289	C₂²×C₄×C₁₃₉	—	2	2	no	—
290	C₂²×C₄×C₁₃₉	—	2	2	no	—
291	C₂²×C₄×C₁₃₉	—	2	2	no	—
292	C₂²×C₄×C₁₃₉	—	2	2	no	—
293	C₂²×C₄×C₁₃₉	—	4	1	no	—
294	C₂²×C₄×C₁₃₉	—	4	1	no	—
295	C₂²×C₄×C₁₃₉	—	4	2	no	—
296	C₂²×C₄×C₁₃₉	—	4	2	no	—
297	C₂²×C₄×C₁₃₉	—	4	2	no	—
298	C₂²×C₄×C₁₃₉	—	4	2	no	—
299	C₂²×C₄×C₁₃₉	—	4	2	no	—
300	C₂²×C₄×C₁₃₉	—	4	2	no	—
301	C₂²×C₄×C₁₃₉	—	4	2	no	—
302	C₂²×C₄×C₁₃₉	—	4	2	no	—
303	C₂²×C₄×C₁₃₉	—	4	2	no	—
304	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
305	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
306	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
307	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
308	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
309	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
310	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
311	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
312	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
313	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
314	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
315	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
316	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
317	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
318	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
319	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
320	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
321	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
322	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
323	C₄⋊C₄×C₁₃₉	—	2	2	no	—
324	C₄⋊C₄×C₁₃₉	—	2	2	no	—
325	C₄⋊C₄×C₁₃₉	—	2	2	no	—
326	C₄⋊C₄×C₁₃₉	—	2	2	no	—
327	C₄⋊C₄×C₁₃₉	—	2	2	no	—
328	C₄⋊C₄×C₁₃₉	—	2	2	no	—
329	C₄⋊C₄×C₁₃₉	—	4	1	no	—
330	C₄⋊C₄×C₁₃₉	—	4	1	no	—
331	C₄⋊C₄×C₁₃₉	—	4	2	no	—
332	C₄⋊C₄×C₁₃₉	—	4	2	no	—
333	C₄⋊C₄×C₁₃₉	—	4	2	no	—
334	C₄⋊C₄×C₁₃₉	—	4	2	no	—
335	C₄⋊C₄×C₁₃₉	—	4	2	no	—
336	C₄⋊C₄×C₁₃₉	—	4	2	no	—
337	C₄⋊C₄×C₁₃₉	—	4	2	no	—
338	C₄⋊C₄×C₁₃₉	—	4	2	no	—
339	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
340	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
341	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
342	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
343	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
344	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
345	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
346	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
347	C₂²⋊C₄×C₁₃₉	—	4	1	no	—
348	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
349	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
350	C₂²⋊C₄×C₁₃₉	—	4	1	no	—
351	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
352	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
353	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
354	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
355	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
356	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
357	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
358	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
359	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
360	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
361	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
362	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
363	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
364	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
365	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
366	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
367	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
368	C₄²×C₁₃₉	—	2	2	no	—
369	C₄²×C₁₃₉	—	2	2	no	—
370	C₄²×C₁₃₉	—	2	2	no	—
371	C₄²×C₁₃₉	—	2	2	no	—
372	C₄²×C₁₃₉	—	2	2	no	—
373	C₄²×C₁₃₉	—	2	2	no	—
374	C₄²×C₁₃₉	—	2	2	no	—
375	C₄²×C₁₃₉	—	4	2	no	—
376	C₄²×C₁₃₉	#41	1	4	yes	—
377	C₂³×C₁₃₉	—	2	1	no	—
378	C₂³×C₁₃₉	—	2	1	no	—
379	C₂³×C₁₃₉	—	2	1	no	—
380	C₂³×C₁₃₉	—	2	1	no	—
381	C₂³×C₁₃₉	—	2	1	no	—
382	C₂³×C₁₃₉	—	2	1	no	—
383	C₂³×C₁₃₉	—	2	2	no	—
384	C₂³×C₁₃₉	—	2	2	no	—
385	C₂³×C₁₃₉	—	2	2	no	—
386	C₂³×C₁₃₉	—	2	2	no	—
387	C₂³×C₁₃₉	—	2	2	no	—
388	C₂³×C₁₃₉	—	2	2	no	—
389	C₂³×C₁₃₉	—	2	2	no	—
390	C₂³×C₁₃₉	—	2	2	no	—
391	C₂³×C₁₃₉	—	2	2	no	—
392	C₂³×C₁₃₉	—	2	2	no	—
393	C₂³×C₁₃₉	—	2	2	no	—
394	C₂³×C₁₃₉	—	2	2	no	—
395	C₂³×C₁₃₉	—	2	2	no	—
396	C₂³×C₁₃₉	—	2	2	no	—
397	C₂³×C₁₃₉	—	2	2	no	—
398	C₂³×C₁₃₉	—	2	2	no	—
399	C₂³×C₁₃₉	—	2	2	no	—
400	C₂³×C₁₃₉	—	2	2	no	—
401	C₂³×C₁₃₉	—	2	2	no	—
402	C₂³×C₁₃₉	—	2	2	no	—
403	C₂³×C₁₃₉	—	2	2	no	—
404	C₂³×C₁₃₉	H(5,𝔽₂)	1	2	yes	—
405	C₂³×C₁₃₉	C₂⁵	1	1	yes	characteristic
406	Q₈×C₁₃₉	—	4	4	no	—
407	D₄×C₁₃₉	—	4	4	no	—
408	D₄×C₁₃₉	—	4	4	no	—
409	D₄×C₁₃₉	—	4	4	no	—
410	D₄×C₁₃₉	—	8	4	no	—
411	D₄×C₁₃₉	—	8	4	no	—
412	D₄×C₁₃₉	—	8	4	no	—
413	D₄×C₁₃₉	—	8	4	no	—
414	D₄×C₁₃₉	—	8	4	no	—
415	D₄×C₁₃₉	—	8	4	no	—
416	D₄×C₁₃₉	—	8	4	no	—
417	D₄×C₁₃₉	—	8	4	no	—
418	D₄×C₁₃₉	—	8	4	no	—
419	C₂×C₄×C₁₃₉	—	2	1	no	—
420	C₂×C₄×C₁₃₉	—	2	1	no	—
421	C₂×C₄×C₁₃₉	—	2	1	no	—
422	C₂×C₄×C₁₃₉	—	2	1	no	—
423	C₂×C₄×C₁₃₉	—	2	1	no	—
424	C₂×C₄×C₁₃₉	—	2	1	no	—
425	C₂×C₄×C₁₃₉	—	2	1	no	—
426	C₂×C₄×C₁₃₉	—	2	1	no	—
427	C₂×C₄×C₁₃₉	—	2	2	no	—
428	C₂×C₄×C₁₃₉	—	2	1	no	—
429	C₂×C₄×C₁₃₉	—	2	1	no	—
430	C₂×C₄×C₁₃₉	—	2	1	no	—
431	C₂×C₄×C₁₃₉	—	2	1	no	—
432	C₂×C₄×C₁₃₉	—	2	1	no	—
433	C₂×C₄×C₁₃₉	—	2	1	no	—
434	C₂×C₄×C₁₃₉	—	2	1	no	—
435	C₂×C₄×C₁₃₉	—	2	1	no	—
436	C₂×C₄×C₁₃₉	—	2	2	no	—
437	C₂×C₄×C₁₃₉	—	2	2	no	—
438	C₂×C₄×C₁₃₉	—	2	1	no	—
439	C₂×C₄×C₁₃₉	—	2	1	no	—
440	C₂×C₄×C₁₃₉	—	2	2	no	—
441	C₂×C₄×C₁₃₉	—	2	2	no	—
442	C₂×C₄×C₁₃₉	—	2	2	no	—
443	C₂×C₄×C₁₃₉	—	2	1	no	—
444	C₂×C₄×C₁₃₉	—	2	1	no	—
445	C₂×C₄×C₁₃₉	—	2	1	no	—
446	C₂×C₄×C₁₃₉	—	2	1	no	—
447	C₂×C₄×C₁₃₉	—	2	2	no	—
448	C₂×C₄×C₁₃₉	—	2	2	no	—
449	C₂×C₄×C₁₃₉	—	2	1	no	—
450	C₂×C₄×C₁₃₉	—	2	1	no	—
451	C₂×C₄×C₁₃₉	—	2	2	no	—
452	C₂×C₄×C₁₃₉	—	2	2	no	—
453	C₂×C₄×C₁₃₉	—	2	1	no	—
454	C₂×C₄×C₁₃₉	—	2	2	no	—
455	C₂×C₄×C₁₃₉	—	2	2	no	—
456	C₂×C₄×C₁₃₉	—	2	2	no	—
457	C₂×C₄×C₁₃₉	—	2	1	no	—
458	C₂×C₄×C₁₃₉	—	2	1	no	—
459	C₂×C₄×C₁₃₉	—	2	1	no	—
460	C₂×C₄×C₁₃₉	—	2	1	no	—
461	C₂×C₄×C₁₃₉	—	2	1	no	—
462	C₂×C₄×C₁₃₉	—	2	2	no	—
463	C₂×C₄×C₁₃₉	—	2	1	no	—
464	C₂×C₄×C₁₃₉	—	2	2	no	—
465	C₂×C₄×C₁₃₉	—	2	1	no	—
466	C₂×C₄×C₁₃₉	—	2	1	no	—
467	C₂×C₄×C₁₃₉	—	2	1	no	—
468	C₂×C₄×C₁₃₉	—	2	1	no	—
469	C₂×C₄×C₁₃₉	—	2	1	no	—
470	C₂×C₄×C₁₃₉	—	4	4	no	—
471	C₂×C₄×C₁₃₉	—	4	4	no	—
472	C₂×C₄×C₁₃₉	—	4	4	no	—
473	C₂×C₄×C₁₃₉	—	8	4	no	—
474	C₂×C₄×C₁₃₉	—	8	4	no	—
475	C₂×C₄×C₁₃₉	—	8	4	no	—
476	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
477	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
478	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
479	C₂×C₄×C₁₃₉	H(5,𝔽₂)	1	2	yes	—
480	C₂×C₄×C₁₃₉	H(5,𝔽₂)	1	2	yes	—
481	C₂×C₄×C₁₃₉	H(5,𝔽₂)	1	2	yes	—
482	C₂²×C₁₃₉	—	2	2	no	—
483	C₂²×C₁₃₉	—	2	2	no	—
484	C₂²×C₁₃₉	—	2	2	no	—
485	C₂²×C₁₃₉	—	4	1	no	—
486	C₂²×C₁₃₉	—	4	1	no	—
487	C₂²×C₁₃₉	—	4	1	no	—
488	C₂²×C₁₃₉	—	4	1	no	—
489	C₂²×C₁₃₉	—	4	2	no	—
490	C₂²×C₁₃₉	—	4	2	no	—
491	C₂²×C₁₃₉	—	4	2	no	—
492	C₂²×C₁₃₉	—	4	2	no	—
493	C₂²×C₁₃₉	—	4	2	no	—
494	C₂²×C₁₃₉	—	4	2	no	—
495	C₂²×C₁₃₉	—	4	2	no	—
496	C₂²×C₁₃₉	—	4	2	no	—
497	C₂²×C₁₃₉	—	4	2	no	—
498	C₂²×C₁₃₉	—	4	2	no	—
499	C₂²×C₁₃₉	—	4	2	no	—
500	C₂²×C₁₃₉	—	4	2	no	—
501	C₂²×C₁₃₉	—	4	2	no	—
502	C₂²×C₁₃₉	—	4	2	no	—
503	C₂²×C₁₃₉	—	4	2	no	—
504	C₂²×C₁₃₉	—	4	2	no	—
505	C₂²×C₁₃₉	—	4	2	no	—
506	C₂²×C₁₃₉	—	4	2	no	—
507	C₂²×C₁₃₉	—	4	2	no	—
508	C₂²×C₁₃₉	—	4	2	no	—
509	C₂²×C₁₃₉	—	4	2	no	—
510	C₂²×C₁₃₉	C₂²×#41	1	1	yes	characteristic
511	C₂²×C₁₃₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
512	C₂²×C₁₃₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
513	C₂²×C₁₃₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
514	C₂²×C₁₃₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
515	C₂²×C₁₃₉	#585	1	1	yes	characteristic
516	C₂²×C₁₃₉	#585	1	1	yes	characteristic
517	C₄×C₁₃₉	—	2	2	no	—
518	C₄×C₁₃₉	—	2	2	no	—
519	C₄×C₁₃₉	—	2	2	no	—
520	C₄×C₁₃₉	—	4	1	no	—
521	C₄×C₁₃₉	—	4	2	no	—
522	C₄×C₁₃₉	—	4	1	no	—
523	C₄×C₁₃₉	—	4	1	no	—
524	C₄×C₁₃₉	—	4	2	no	—
525	C₄×C₁₃₉	—	4	2	no	—
526	C₄×C₁₃₉	—	4	1	no	—
527	C₄×C₁₃₉	—	4	2	no	—
528	C₄×C₁₃₉	—	4	1	no	—
529	C₄×C₁₃₉	—	4	1	no	—
530	C₄×C₁₃₉	—	4	1	no	—
531	C₄×C₁₃₉	—	4	2	no	—
532	C₄×C₁₃₉	—	4	1	no	—
533	C₄×C₁₃₉	—	4	1	no	—
534	C₄×C₁₃₉	—	4	1	no	—
535	C₄×C₁₃₉	#540	1	4	yes	—
536	C₂×C₁₃₉	—	4	2	no	—
537	C₂×C₁₃₉	—	8	2	no	—
538	C₂×C₁₃₉	—	8	2	no	—
539	C₂×C₁₃₉	—	8	2	no	—
540	C₂×C₁₃₉	C₂×#540	1	1	yes	characteristic
541	C₂×C₁₃₉	#3494	1	1	yes	characteristic
542	C₂×C₁₃₉	#3494	1	1	yes	characteristic
543	C₂×C₁₃₉	#3543	1	1	yes	characteristic
544	C₂×C₁₃₉	#3546	1	1	yes	characteristic
545	C₂×C₁₃₉	#3558	1	1	yes	characteristic
546	C₂×C₁₃₉	#3562	1	1	yes	characteristic
547	#37290	C₁₃₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
548	C₁₃₉	#37290	1	1	yes	characteristic, direct product factor, Sylow
549	#2856	C₂×C₁₃₉	1	1	yes	characteristic, complemented
550	#2850	C₂×C₁₃₉	1	1	yes	characteristic, complemented
551	#2756	C₂×C₁₃₉	1	2	yes	complemented
552	#2753	C₂×C₁₃₉	1	2	yes	complemented
553	#2749	C₂×C₁₃₉	1	2	yes	complemented
554	#2706	C₂×C₁₃₉	1	2	yes	complemented
555	#2703	C₂×C₁₃₉	1	2	yes	complemented
556	#2699	C₂×C₁₃₉	1	2	yes	complemented
557	#2688	C₂×C₁₃₉	1	2	yes	complemented
558	#2671	C₂×C₁₃₉	1	2	yes	complemented
559	#2657	C₂×C₁₃₉	1	1	yes	characteristic, complemented
560	#2647	C₂×C₁₃₉	1	1	yes	characteristic, complemented
561	#2448	C₂×C₁₃₉	1	1	yes	characteristic, complemented
562	#2447	C₂×C₁₃₉	1	1	yes	characteristic, complemented
563	#2445	C₂×C₁₃₉	1	1	yes	characteristic, complemented
564	#2445	C₂×C₁₃₉	1	1	yes	characteristic, complemented
565	#2428	C₂×C₁₃₉	1	1	yes	characteristic, complemented
566	#2428	C₂×C₁₃₉	1	1	yes	characteristic, complemented
567	#2427	C₂×C₁₃₉	1	1	yes	characteristic, complemented
568	#2426	C₂×C₁₃₉	1	1	yes	characteristic, complemented
569	#2328	C₂×C₁₃₉	1	1	yes	characteristic, complemented
570	#2326	C₂×C₁₃₉	1	1	yes	characteristic, complemented
571	#2283	C₂×C₁₃₉	1	1	yes	characteristic, complemented
572	C₂×#127	C₂²×C₁₃₉	1	1	yes	characteristic
573	C₂×#127	C₂²×C₁₃₉	1	1	yes	characteristic
574	C₂×#127	C₂²×C₁₃₉	1	1	yes	characteristic
575	C₂×#124	C₂²×C₁₃₉	1	1	yes	characteristic
576	C₂×#124	C₂²×C₁₃₉	1	1	yes	characteristic
577	C₂×#124	C₂²×C₁₃₉	1	1	yes	characteristic
578	C₂×#123	C₂²×C₁₃₉	1	2	yes	—
579	C₂×#123	C₂²×C₁₃₉	1	2	yes	—
580	C₂×C₂²⋊Q₈	C₂²×C₁₃₉	1	1	yes	characteristic
581	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic
582	C₂×#121	C₂²×C₁₃₉	1	2	yes	—
583	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic
584	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic
585	C₂×#121	C₂²×C₁₃₉	1	2	yes	—
586	C₂×#121	C₂²×C₁₃₉	1	2	yes	—
587	C₂×#121	C₂²×C₁₃₉	1	2	yes	—
588	C₂×C₄×Q₈	C₂²×C₁₃₉	1	1	yes	characteristic
589	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
590	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
591	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
592	C₂²×C₄²	C₂²×C₁₃₉	1	1	yes	characteristic
593	#400	C₂²×C₁₃₉	1	2	yes	—
594	#400	C₂²×C₁₃₉	1	2	yes	—
595	#399	C₂²×C₁₃₉	1	2	yes	—
596	#398	C₂²×C₁₃₉	1	2	yes	—
597	#398	C₂²×C₁₃₉	1	2	yes	—
598	#397	C₂²×C₁₃₉	1	2	yes	—
599	#397	C₂²×C₁₃₉	1	2	yes	—
600	#397	C₂²×C₁₃₉	1	2	yes	—
601	#397	C₂²×C₁₃₉	1	2	yes	—
602	#396	C₂²×C₁₃₉	1	2	yes	—
603	#394	C₂²×C₁₃₉	1	2	yes	—
604	#394	C₂²×C₁₃₉	1	2	yes	—
605	#394	C₂²×C₁₃₉	1	2	yes	—
606	#394	C₂²×C₁₃₉	1	2	yes	—
607	#394	C₂²×C₁₃₉	1	2	yes	—
608	#394	C₂²×C₁₃₉	1	2	yes	—
609	#394	C₂²×C₁₃₉	1	2	yes	—
610	#394	C₂²×C₁₃₉	1	2	yes	—
611	#392	C₂²×C₁₃₉	1	2	yes	—
612	#392	C₂²×C₁₃₉	1	2	yes	—
613	#392	C₂²×C₁₃₉	1	2	yes	—
614	#392	C₂²×C₁₃₉	1	2	yes	—
615	#392	C₂²×C₁₃₉	1	2	yes	—
616	#392	C₂²×C₁₃₉	1	2	yes	—
617	#391	C₂²×C₁₃₉	1	1	yes	characteristic
618	#391	C₂²×C₁₃₉	1	1	yes	characteristic
619	#390	C₂²×C₁₃₉	1	1	yes	characteristic
620	#390	C₂²×C₁₃₉	1	1	yes	characteristic
621	#390	C₂²×C₁₃₉	1	1	yes	characteristic
622	#390	C₂²×C₁₃₉	1	1	yes	characteristic
623	#390	C₂²×C₁₃₉	1	1	yes	characteristic
624	#390	C₂²×C₁₃₉	1	1	yes	characteristic
625	#390	C₂²×C₁₃₉	1	2	yes	—
626	#390	C₂²×C₁₃₉	1	2	yes	—
627	#390	C₂²×C₁₃₉	1	2	yes	—
628	#389	C₂²×C₁₃₉	1	1	yes	characteristic
629	#389	C₂²×C₁₃₉	1	1	yes	characteristic
630	#389	C₂²×C₁₃₉	1	1	yes	characteristic
631	#389	C₂²×C₁₃₉	1	1	yes	characteristic
632	#388	C₂²×C₁₃₉	1	2	yes	—
633	#388	C₂²×C₁₃₉	1	2	yes	—
634	#388	C₂²×C₁₃₉	1	2	yes	—
635	#388	C₂²×C₁₃₉	1	2	yes	—
636	#388	C₂²×C₁₃₉	1	2	yes	—
637	#388	C₂²×C₁₃₉	1	2	yes	—
638	#388	C₂²×C₁₃₉	1	2	yes	—
639	#386	C₂²×C₁₃₉	1	2	yes	—
640	#386	C₂²×C₁₃₉	1	2	yes	—
641	#386	C₂²×C₁₃₉	1	2	yes	—
642	#386	C₂²×C₁₃₉	1	2	yes	—
643	#386	C₂²×C₁₃₉	1	2	yes	—
644	#386	C₂²×C₁₃₉	1	2	yes	—
645	#386	C₂²×C₁₃₉	1	2	yes	—
646	#386	C₂²×C₁₃₉	1	2	yes	—
647	#386	C₂²×C₁₃₉	1	2	yes	—
648	#386	C₂²×C₁₃₉	1	2	yes	—
649	#386	C₂²×C₁₃₉	1	2	yes	—
650	#385	C₂²×C₁₃₉	1	2	yes	—
651	#385	C₂²×C₁₃₉	1	2	yes	—
652	#385	C₂²×C₁₃₉	1	2	yes	—
653	#384	C₂²×C₁₃₉	1	1	yes	characteristic
654	#383	C₂²×C₁₃₉	1	1	yes	characteristic
655	#383	C₂²×C₁₃₉	1	1	yes	characteristic
656	#382	C₂²×C₁₃₉	1	1	yes	characteristic
657	#382	C₂²×C₁₃₉	1	1	yes	characteristic
658	#382	C₂²×C₁₃₉	1	1	yes	characteristic
659	#381	C₂²×C₁₃₉	1	1	yes	characteristic
660	#381	C₂²×C₁₃₉	1	1	yes	characteristic
661	#381	C₂²×C₁₃₉	1	2	yes	—
662	#380	C₂²×C₁₃₉	1	1	yes	characteristic
663	#380	C₂²×C₁₃₉	1	2	yes	—
664	#380	C₂²×C₁₃₉	1	1	yes	characteristic
665	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
666	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
667	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
668	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
669	#376	C₂²×C₁₃₉	1	1	yes	characteristic
670	#376	C₂²×C₁₃₉	1	1	yes	characteristic
671	C₂²×Q₈	C₂³×C₁₃₉	1	1	yes	characteristic
672	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
673	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
674	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
675	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
676	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
677	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
678	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
679	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
680	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
681	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
682	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
683	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
684	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
685	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
686	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
687	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
688	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
689	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
690	#127	—	2	4	no	—
691	#127	—	4	2	no	—
692	#127	—	4	2	no	—
693	#124	—	2	4	no	—
694	#124	—	4	2	no	—
695	#124	—	4	2	no	—
696	#123	—	4	4	no	—
697	#123	—	4	4	no	—
698	C₂²⋊Q₈	—	4	2	no	—
699	#121	—	4	4	no	—
700	#121	—	4	4	no	—
701	#121	—	4	4	no	—
702	#121	—	4	2	no	—
703	#121	—	4	2	no	—
704	#121	—	4	2	no	—
705	#121	—	4	4	no	—
706	C₄×Q₈	—	4	2	no	—
707	C₄×D₄	—	4	2	no	—
708	C₄×D₄	—	4	2	no	—
709	C₄×D₄	—	4	2	no	—
710	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
711	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
712	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
713	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
714	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
715	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
716	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
717	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
718	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
719	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
720	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
721	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
722	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
723	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
724	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
725	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
726	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
727	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
728	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
729	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
730	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
731	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
732	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
733	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
734	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
735	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
736	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
737	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
738	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
739	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
740	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
741	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
742	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
743	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
744	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
745	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
746	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
747	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
748	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
749	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
750	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
751	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
752	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
753	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
754	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
755	C₂×C₄²	—	2	4	no	—
756	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
757	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
758	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
759	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
760	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
761	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
762	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
763	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
764	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
765	#95	C₂³×C₁₃₉	1	1	yes	characteristic
766	#95	C₂³×C₁₃₉	1	1	yes	characteristic
767	#95	C₂³×C₁₃₉	1	1	yes	characteristic
768	#95	C₂³×C₁₃₉	1	1	yes	characteristic
769	#95	C₂³×C₁₃₉	1	1	yes	characteristic
770	#95	C₂³×C₁₃₉	1	1	yes	characteristic
771	#95	C₂³×C₁₃₉	1	1	yes	characteristic
772	#95	C₂³×C₁₃₉	1	1	yes	characteristic
773	#95	C₂³×C₁₃₉	1	1	yes	characteristic
774	#95	C₂³×C₁₃₉	1	1	yes	characteristic
775	#95	C₂³×C₁₃₉	1	1	yes	characteristic
776	#95	C₂³×C₁₃₉	1	1	yes	characteristic
777	#95	C₂³×C₁₃₉	1	1	yes	characteristic
778	#95	C₂³×C₁₃₉	1	1	yes	characteristic
779	#95	C₂³×C₁₃₉	1	1	yes	characteristic
780	#95	C₂³×C₁₃₉	1	1	yes	characteristic
781	#95	C₂³×C₁₃₉	1	2	yes	—
782	#95	C₂³×C₁₃₉	1	2	yes	—
783	#95	C₂³×C₁₃₉	1	2	yes	—
784	#95	C₂³×C₁₃₉	1	2	yes	—
785	#95	C₂³×C₁₃₉	1	2	yes	—
786	#95	C₂³×C₁₃₉	1	2	yes	—
787	#95	C₂³×C₁₃₉	1	2	yes	—
788	#95	C₂³×C₁₃₉	1	2	yes	—
789	#95	C₂³×C₁₃₉	1	2	yes	—
790	#95	C₂³×C₁₃₉	1	2	yes	—
791	C₂⁴	C₂⁴×C₁₃₉	1	2	yes	—
792	C₂⁴	C₂⁴×C₁₃₉	1	2	yes	—
793	C₂⁴	C₂⁴×C₁₃₉	1	2	yes	—
794	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
795	C₂×Q₈	—	2	2	no	—
796	C₂×Q₈	—	2	2	no	—
797	C₂×Q₈	—	2	2	no	—
798	C₂×D₄	—	2	4	no	—
799	C₂×D₄	—	2	4	no	—
800	C₂×D₄	—	2	4	no	—
801	C₂×D₄	—	2	2	no	—
802	C₂×D₄	—	2	2	no	—
803	C₂×D₄	—	2	2	no	—
804	C₂×D₄	—	2	4	no	—
805	C₂×D₄	—	2	4	no	—
806	C₂×D₄	—	2	2	no	—
807	C₂×D₄	—	2	2	no	—
808	C₂×D₄	—	2	2	no	—
809	C₂×D₄	—	2	2	no	—
810	C₂×D₄	—	2	2	no	—
811	C₂×D₄	—	2	2	no	—
812	C₂×D₄	—	4	2	no	—
813	C₂×D₄	—	4	2	no	—
814	C₂×D₄	—	4	2	no	—
815	C₂×D₄	—	4	2	no	—
816	C₂×D₄	—	4	2	no	—
817	C₂×D₄	—	4	2	no	—
818	C₂×D₄	—	4	2	no	—
819	C₂×D₄	—	4	2	no	—
820	C₂×D₄	—	4	2	no	—
821	C₂×D₄	—	4	2	no	—
822	C₂×D₄	—	4	2	no	—
823	C₂×D₄	—	4	2	no	—
824	C₂×D₄	—	4	2	no	—
825	C₂×D₄	—	4	2	no	—
826	C₂×D₄	—	4	2	no	—
827	C₂×D₄	—	4	2	no	—
828	C₂×D₄	—	4	2	no	—
829	C₂×D₄	—	4	2	no	—
830	C₂×D₄	—	4	2	no	—
831	C₂×D₄	—	4	2	no	—
832	C₂×D₄	—	4	2	no	—
833	C₂×D₄	—	4	2	no	—
834	C₂²×C₄	—	2	2	no	—
835	C₂²×C₄	—	2	2	no	—
836	C₂²×C₄	—	2	2	no	—
837	C₂²×C₄	—	2	2	no	—
838	C₂²×C₄	—	2	2	no	—
839	C₂²×C₄	—	2	2	no	—
840	C₂²×C₄	—	2	2	no	—
841	C₂²×C₄	—	4	1	no	—
842	C₂²×C₄	—	4	1	no	—
843	C₂²×C₄	—	4	2	no	—
844	C₂²×C₄	—	4	2	no	—
845	C₂²×C₄	—	4	2	no	—
846	C₂²×C₄	—	4	2	no	—
847	C₂²×C₄	—	4	2	no	—
848	C₂²×C₄	—	4	2	no	—
849	C₂²×C₄	—	4	2	no	—
850	C₂²×C₄	—	4	2	no	—
851	C₂²×C₄	—	4	2	no	—
852	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
853	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
854	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
855	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
856	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
857	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
858	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
859	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
860	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
861	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
862	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
863	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
864	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
865	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
866	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
867	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
868	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
869	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
870	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
871	C₄⋊C₄	—	2	2	no	—
872	C₄⋊C₄	—	2	2	no	—
873	C₄⋊C₄	—	2	2	no	—
874	C₄⋊C₄	—	2	2	no	—
875	C₄⋊C₄	—	2	2	no	—
876	C₄⋊C₄	—	2	2	no	—
877	C₄⋊C₄	—	4	1	no	—
878	C₄⋊C₄	—	4	1	no	—
879	C₄⋊C₄	—	4	2	no	—
880	C₄⋊C₄	—	4	2	no	—
881	C₄⋊C₄	—	4	2	no	—
882	C₄⋊C₄	—	4	2	no	—
883	C₄⋊C₄	—	4	2	no	—
884	C₄⋊C₄	—	4	2	no	—
885	C₄⋊C₄	—	4	2	no	—
886	C₄⋊C₄	—	4	2	no	—
887	C₂²⋊C₄	—	2	2	no	—
888	C₂²⋊C₄	—	2	2	no	—
889	C₂²⋊C₄	—	2	4	no	—
890	C₂²⋊C₄	—	2	4	no	—
891	C₂²⋊C₄	—	2	4	no	—
892	C₂²⋊C₄	—	2	4	no	—
893	C₂²⋊C₄	—	2	4	no	—
894	C₂²⋊C₄	—	4	2	no	—
895	C₂²⋊C₄	—	4	1	no	—
896	C₂²⋊C₄	—	4	2	no	—
897	C₂²⋊C₄	—	4	2	no	—
898	C₂²⋊C₄	—	4	1	no	—
899	C₂²⋊C₄	—	4	2	no	—
900	C₂²⋊C₄	—	4	2	no	—
901	C₂²⋊C₄	—	4	2	no	—
902	C₂²⋊C₄	—	4	2	no	—
903	C₂²⋊C₄	—	4	2	no	—
904	C₂²⋊C₄	—	4	2	no	—
905	C₂²⋊C₄	—	4	2	no	—
906	C₂²⋊C₄	—	4	2	no	—
907	C₂²⋊C₄	—	4	2	no	—
908	C₂²⋊C₄	—	4	2	no	—
909	C₂²⋊C₄	—	4	2	no	—
910	C₂²⋊C₄	—	4	2	no	—
911	C₂²⋊C₄	—	4	2	no	—
912	C₂²⋊C₄	—	4	2	no	—
913	C₂²⋊C₄	—	4	2	no	—
914	C₂²⋊C₄	—	4	2	no	—
915	C₂²⋊C₄	—	4	2	no	—
916	C₄²	—	2	2	no	—
917	C₄²	—	2	2	no	—
918	C₄²	—	2	2	no	—
919	C₄²	—	2	2	no	—
920	C₄²	—	2	2	no	—
921	C₄²	—	2	2	no	—
922	C₄²	—	2	2	no	—
923	C₄²	—	4	2	no	—
924	C₄²	#41×C₁₃₉	1	4	yes	—
925	C₂³	—	2	1	no	—
926	C₂³	—	2	1	no	—
927	C₂³	—	2	1	no	—
928	C₂³	—	2	1	no	—
929	C₂³	—	2	1	no	—
930	C₂³	—	2	1	no	—
931	C₂³	—	2	2	no	—
932	C₂³	—	2	2	no	—
933	C₂³	—	2	2	no	—
934	C₂³	—	2	2	no	—
935	C₂³	—	2	2	no	—
936	C₂³	—	2	2	no	—
937	C₂³	—	2	2	no	—
938	C₂³	—	2	2	no	—
939	C₂³	—	2	2	no	—
940	C₂³	—	2	2	no	—
941	C₂³	—	2	2	no	—
942	C₂³	—	2	2	no	—
943	C₂³	—	2	2	no	—
944	C₂³	—	2	2	no	—
945	C₂³	—	2	2	no	—
946	C₂³	—	2	2	no	—
947	C₂³	—	2	2	no	—
948	C₂³	—	2	2	no	—
949	C₂³	—	2	2	no	—
950	C₂³	—	2	2	no	—
951	C₂³	—	2	2	no	—
952	C₂³	H(5,𝔽₂)×C₁₃₉	1	2	yes	—
953	C₂³	C₂⁵×C₁₃₉	1	1	yes	characteristic
954	Q₈	—	4	4	no	—
955	D₄	—	4	4	no	—
956	D₄	—	4	4	no	—
957	D₄	—	4	4	no	—
958	D₄	—	8	4	no	—
959	D₄	—	8	4	no	—
960	D₄	—	8	4	no	—
961	D₄	—	8	4	no	—
962	D₄	—	8	4	no	—
963	D₄	—	8	4	no	—
964	D₄	—	8	4	no	—
965	D₄	—	8	4	no	—
966	D₄	—	8	4	no	—
967	C₂×C₄	—	2	1	no	—
968	C₂×C₄	—	2	1	no	—
969	C₂×C₄	—	2	1	no	—
970	C₂×C₄	—	2	1	no	—
971	C₂×C₄	—	2	1	no	—
972	C₂×C₄	—	2	1	no	—
973	C₂×C₄	—	2	1	no	—
974	C₂×C₄	—	2	1	no	—
975	C₂×C₄	—	2	2	no	—
976	C₂×C₄	—	2	1	no	—
977	C₂×C₄	—	2	1	no	—
978	C₂×C₄	—	2	1	no	—
979	C₂×C₄	—	2	1	no	—
980	C₂×C₄	—	2	1	no	—
981	C₂×C₄	—	2	1	no	—
982	C₂×C₄	—	2	1	no	—
983	C₂×C₄	—	2	1	no	—
984	C₂×C₄	—	2	2	no	—
985	C₂×C₄	—	2	2	no	—
986	C₂×C₄	—	2	1	no	—
987	C₂×C₄	—	2	1	no	—
988	C₂×C₄	—	2	2	no	—
989	C₂×C₄	—	2	2	no	—
990	C₂×C₄	—	2	2	no	—
991	C₂×C₄	—	2	1	no	—
992	C₂×C₄	—	2	1	no	—
993	C₂×C₄	—	2	1	no	—
994	C₂×C₄	—	2	1	no	—
995	C₂×C₄	—	2	2	no	—
996	C₂×C₄	—	2	2	no	—
997	C₂×C₄	—	2	1	no	—
998	C₂×C₄	—	2	1	no	—
999	C₂×C₄	—	2	2	no	—
1000	C₂×C₄	—	2	2	no	—
1001	C₂×C₄	—	2	1	no	—
1002	C₂×C₄	—	2	2	no	—
1003	C₂×C₄	—	2	2	no	—
1004	C₂×C₄	—	2	2	no	—
1005	C₂×C₄	—	2	1	no	—
1006	C₂×C₄	—	2	1	no	—
1007	C₂×C₄	—	2	1	no	—
1008	C₂×C₄	—	2	1	no	—
1009	C₂×C₄	—	2	2	no	—
1010	C₂×C₄	—	2	1	no	—
1011	C₂×C₄	—	2	1	no	—
1012	C₂×C₄	—	2	2	no	—
1013	C₂×C₄	—	2	1	no	—
1014	C₂×C₄	—	2	1	no	—
1015	C₂×C₄	—	2	1	no	—
1016	C₂×C₄	—	2	1	no	—
1017	C₂×C₄	—	2	1	no	—
1018	C₂×C₄	—	4	4	no	—
1019	C₂×C₄	—	4	4	no	—
1020	C₂×C₄	—	4	4	no	—
1021	C₂×C₄	—	8	4	no	—
1022	C₂×C₄	—	8	4	no	—
1023	C₂×C₄	—	8	4	no	—
1024	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
1025	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
1026	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
1027	C₂×C₄	H(5,𝔽₂)×C₁₃₉	1	2	yes	—
1028	C₂×C₄	H(5,𝔽₂)×C₁₃₉	1	2	yes	—
1029	C₂×C₄	H(5,𝔽₂)×C₁₃₉	1	2	yes	—
1030	C₂²	—	2	2	no	—
1031	C₂²	—	2	2	no	—
1032	C₂²	—	2	2	no	—
1033	C₂²	—	4	1	no	—
1034	C₂²	—	4	1	no	—
1035	C₂²	—	4	1	no	—
1036	C₂²	—	4	1	no	—
1037	C₂²	—	4	2	no	—
1038	C₂²	—	4	2	no	—
1039	C₂²	—	4	2	no	—
1040	C₂²	—	4	2	no	—
1041	C₂²	—	4	2	no	—
1042	C₂²	—	4	2	no	—
1043	C₂²	—	4	2	no	—
1044	C₂²	—	4	2	no	—
1045	C₂²	—	4	2	no	—
1046	C₂²	—	4	2	no	—
1047	C₂²	—	4	2	no	—
1048	C₂²	—	4	2	no	—
1049	C₂²	—	4	2	no	—
1050	C₂²	—	4	2	no	—
1051	C₂²	—	4	2	no	—
1052	C₂²	—	4	2	no	—
1053	C₂²	—	4	2	no	—
1054	C₂²	—	4	2	no	—
1055	C₂²	—	4	2	no	—
1056	C₂²	—	4	2	no	—
1057	C₂²	—	4	2	no	—
1058	C₂²	C₂²×#41×C₁₃₉	1	1	yes	characteristic
1059	C₂²	C₂×H(5,𝔽₂)×C₁₃₉	1	1	yes	characteristic
1060	C₂²	C₂×H(5,𝔽₂)×C₁₃₉	1	1	yes	characteristic
1061	C₂²	C₂×H(5,𝔽₂)×C₁₃₉	1	1	yes	characteristic
1062	C₂²	C₂×H(5,𝔽₂)×C₁₃₉	1	1	yes	characteristic
1063	C₂²	#585×C₁₃₉	1	1	yes	characteristic
1064	C₂²	#585×C₁₃₉	1	1	yes	characteristic
1065	C₄	—	2	2	no	—
1066	C₄	—	2	2	no	—
1067	C₄	—	2	2	no	—
1068	C₄	—	4	1	no	—
1069	C₄	—	4	2	no	—
1070	C₄	—	4	1	no	—
1071	C₄	—	4	2	no	—
1072	C₄	—	4	1	no	—
1073	C₄	—	4	2	no	—
1074	C₄	—	4	1	no	—
1075	C₄	—	4	1	no	—
1076	C₄	—	4	2	no	—
1077	C₄	—	4	1	no	—
1078	C₄	—	4	1	no	—
1079	C₄	—	4	1	no	—
1080	C₄	—	4	1	no	—
1081	C₄	—	4	2	no	—
1082	C₄	—	4	1	no	—
1083	C₄	#540×C₁₃₉	1	4	yes	—
1084	C₂	—	4	2	no	—
1085	C₂	—	8	2	no	—
1086	C₂	—	8	2	no	—
1087	C₂	—	8	2	no	—
1088	C₂	C₂×#540×C₁₃₉	1	1	yes	characteristic
1089	C₂	#3494×C₁₃₉	1	1	yes	characteristic
1090	C₂	#3494×C₁₃₉	1	1	yes	characteristic
1091	C₂	#3543×C₁₃₉	1	1	yes	characteristic
1092	C₂	#3546×C₁₃₉	1	1	yes	characteristic
1093	C₂	#3558×C₁₃₉	1	1	yes	characteristic
1094	C₂	#3562×C₁₃₉	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₁₃₉	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₁₃₉
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂³×C₁₃₉ ◁ G

Complements

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

N	H ≅ G/N	type
1. #2856×C₁₃₉	C₂	semidirect
2. #2850×C₁₃₉	C₂	semidirect
3. #2756×C₁₃₉	C₂	semidirect
4. #2753×C₁₃₉	C₂	semidirect
5. #2749×C₁₃₉	C₂	semidirect
6. #2706×C₁₃₉	C₂	semidirect
7. #2703×C₁₃₉	C₂	semidirect
8. #2699×C₁₃₉	C₂	semidirect
9. #2688×C₁₃₉	C₂	semidirect
10. #2671×C₁₃₉	C₂	semidirect
11. #2657×C₁₃₉	C₂	semidirect
12. #2647×C₁₃₉	C₂	semidirect
13. #2448×C₁₃₉	C₂	semidirect
14. #2447×C₁₃₉	C₂	semidirect
15. #2445×C₁₃₉	C₂	semidirect
16. #2445×C₁₃₉	C₂	semidirect
17. #2428×C₁₃₉	C₂	semidirect
18. #2428×C₁₃₉	C₂	semidirect
19. #2427×C₁₃₉	C₂	semidirect
20. #2426×C₁₃₉	C₂	semidirect
21. #2328×C₁₃₉	C₂	semidirect
22. #2326×C₁₃₉	C₂	semidirect
23. #2283×C₁₃₉	C₂	semidirect
547. #37290	C₁₃₉	direct (N × H)
548. C₁₃₉	#37290	direct (N × H)
549. #2856	C₂×C₁₃₉	semidirect
550. #2850	C₂×C₁₃₉	semidirect
551. #2756	C₂×C₁₃₉	semidirect
552. #2753	C₂×C₁₃₉	semidirect
553. #2749	C₂×C₁₃₉	semidirect
554. #2706	C₂×C₁₃₉	semidirect
555. #2703	C₂×C₁₃₉	semidirect
556. #2699	C₂×C₁₃₉	semidirect
557. #2688	C₂×C₁₃₉	semidirect
558. #2671	C₂×C₁₃₉	semidirect
559. #2657	C₂×C₁₃₉	semidirect
560. #2647	C₂×C₁₃₉	semidirect
561. #2448	C₂×C₁₃₉	semidirect
562. #2447	C₂×C₁₃₉	semidirect
563. #2445	C₂×C₁₃₉	semidirect
564. #2445	C₂×C₁₃₉	semidirect
565. #2428	C₂×C₁₃₉	semidirect
566. #2428	C₂×C₁₃₉	semidirect
567. #2427	C₂×C₁₃₉	semidirect
568. #2426	C₂×C₁₃₉	semidirect
569. #2328	C₂×C₁₃₉	semidirect
570. #2326	C₂×C₁₃₉	semidirect
571. #2283	C₂×C₁₃₉	semidirect

Maximal subgroups

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

subgroup	index
#2856×C₁₃₉	2
#2850×C₁₃₉	2
#2756×C₁₃₉	2
#2753×C₁₃₉	2
#2749×C₁₃₉	2
#2706×C₁₃₉	2
#2703×C₁₃₉	2
#2699×C₁₃₉	2
#2688×C₁₃₉	2
#2671×C₁₃₉	2
#2657×C₁₃₉	2
#2647×C₁₃₉	2
#2448×C₁₃₉	2
#2447×C₁₃₉	2
#2445×C₁₃₉	2
#2428×C₁₃₉	2
#2427×C₁₃₉	2
#2426×C₁₃₉	2
#2328×C₁₃₉	2
#2326×C₁₃₉	2
#2283×C₁₃₉	2
#37290	139

Subgroups — C139×#37290 #48031886

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃₉×#37290 #48031886