Subgroups — C₁₃₉×#35940 #48030536

Order 35584.

2622 conjugacy classes of subgroups.

The subgroup lattice has 1122 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#551×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#548×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
3	#2663×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
4	#2662×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
5	#2639×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
6	#2610×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
7	#2604×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
8	#2564×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
9	#2560×C₁₃₉	C₂	1	2	yes	maximal, complemented
10	#2557×C₁₃₉	C₂	1	2	yes	maximal, complemented
11	#2539×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
12	#2491×C₁₃₉	C₂	1	2	yes	maximal, complemented
13	#2452×C₁₃₉	C₂	1	2	yes	maximal, complemented
14	#2434×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
15	#2430×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
16	#2425×C₁₃₉	C₂	1	2	yes	maximal, complemented
17	#2424×C₁₃₉	C₂	1	2	yes	maximal, complemented
18	#2396×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
19	#2388×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#393×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
21	#2359×C₁₃₉	C₂	1	2	yes	maximal, complemented
22	#2358×C₁₃₉	C₂	1	2	yes	maximal, complemented
23	#2275×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²×#41×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
25	C₂³×Q₈×C₁₃₉	C₂²	1	1	yes	characteristic
26	#551×C₁₃₉	—	2	8	no	—
27	#548×C₁₃₉	—	2	8	no	—
28	C₂×C₄⋊Q₈×C₁₃₉	C₂²	1	2	yes	complemented
29	C₂×#126×C₁₃₉	C₂²	1	1	yes	characteristic
30	C₂×#126×C₁₃₉	C₂²	1	1	yes	characteristic
31	C₂×#124×C₁₃₉	C₂²	1	1	yes	characteristic
32	C₂×#124×C₁₃₉	C₂²	1	2	yes	complemented
33	C₂×#124×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
34	C₂×#123×C₁₃₉	C₂²	1	2	yes	—
35	C₂×#123×C₁₃₉	C₂²	1	1	yes	characteristic
36	C₂×#123×C₁₃₉	C₂²	1	1	yes	characteristic
37	C₂×#123×C₁₃₉	C₂²	1	1	yes	characteristic
38	C₂×C₂²⋊Q₈×C₁₃₉	C₂²	1	1	yes	characteristic
39	C₂×C₂²⋊Q₈×C₁₃₉	C₂²	1	1	yes	characteristic
40	C₂×C₂²⋊Q₈×C₁₃₉	C₂²	1	2	yes	complemented
41	C₂×C₂²⋊Q₈×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
42	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic
43	C₂×#121×C₁₃₉	C₂²	1	2	yes	—
44	C₂×#121×C₁₃₉	C₂²	1	2	yes	—
45	C₂×#120×C₁₃₉	C₂²	1	2	yes	—
46	C₂×#120×C₁₃₉	C₂²	1	1	yes	characteristic
47	C₂×C₄×Q₈×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
48	C₂×C₄×D₄×C₁₃₉	C₂²	1	2	yes	—
49	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
50	C₂×C₄×D₄×C₁₃₉	C₂²	1	2	yes	—
51	C₂×C₄×D₄×C₁₃₉	C₂²	1	2	yes	—
52	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
53	C₂×#117×C₁₃₉	C₂²	1	1	yes	characteristic
54	C₂×#117×C₁₃₉	C₂²	1	1	yes	characteristic
55	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
56	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
57	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	—
58	#400×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
59	#400×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
60	#399×C₁₃₉	C₂²	1	1	yes	characteristic
61	#399×C₁₃₉	C₂²	1	1	yes	characteristic
62	#398×C₁₃₉	C₂²	1	2	yes	complemented
63	#397×C₁₃₉	C₂²	1	2	yes	complemented
64	#397×C₁₃₉	C₂²	1	2	yes	complemented
65	#396×C₁₃₉	C₂²	1	2	yes	—
66	#396×C₁₃₉	C₂²	1	2	yes	complemented
67	#395×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
68	#395×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
69	#395×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
70	#395×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
71	#394×C₁₃₉	C₂²	1	2	yes	—
72	#394×C₁₃₉	C₂²	1	2	yes	—
73	#394×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
74	#394×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
75	#394×C₁₃₉	C₂²	1	2	yes	complemented
76	#393×C₁₃₉	C₂²	1	2	yes	—
77	#393×C₁₃₉	C₂²	1	2	yes	—
78	#393×C₁₃₉	C₂²	1	1	yes	characteristic
79	#393×C₁₃₉	C₂²	1	1	yes	characteristic
80	#393×C₁₃₉	C₂²	1	1	yes	characteristic
81	#393×C₁₃₉	C₂²	1	1	yes	characteristic
82	#393×C₁₃₉	C₂²	1	2	yes	complemented
83	#392×C₁₃₉	C₂²	1	1	yes	characteristic
84	#392×C₁₃₉	C₂²	1	1	yes	characteristic
85	#392×C₁₃₉	C₂²	1	2	yes	—
86	#391×C₁₃₉	C₂²	1	2	yes	complemented
87	#390×C₁₃₉	C₂²	1	2	yes	—
88	#390×C₁₃₉	C₂²	1	2	yes	—
89	#390×C₁₃₉	C₂²	1	2	yes	—
90	#390×C₁₃₉	C₂²	1	2	yes	—
91	#389×C₁₃₉	C₂²	1	2	yes	complemented
92	#389×C₁₃₉	C₂²	1	2	yes	complemented
93	#388×C₁₃₉	C₂²	1	2	yes	—
94	#388×C₁₃₉	C₂²	1	2	yes	—
95	#388×C₁₃₉	C₂²	1	2	yes	—
96	#388×C₁₃₉	C₂²	1	2	yes	complemented
97	#388×C₁₃₉	C₂²	1	2	yes	complemented
98	#388×C₁₃₉	C₂²	1	2	yes	complemented
99	#387×C₁₃₉	C₂²	1	2	yes	complemented
100	#387×C₁₃₉	C₂²	1	2	yes	complemented
101	#386×C₁₃₉	C₂²	1	2	yes	—
102	#386×C₁₃₉	C₂²	1	2	yes	—
103	#386×C₁₃₉	C₂²	1	2	yes	—
104	#386×C₁₃₉	C₂²	1	2	yes	—
105	#386×C₁₃₉	C₂²	1	2	yes	—
106	#386×C₁₃₉	C₂²	1	2	yes	complemented
107	#385×C₁₃₉	C₂²	1	2	yes	—
108	#385×C₁₃₉	C₂²	1	2	yes	—
109	#385×C₁₃₉	C₂²	1	2	yes	—
110	#385×C₁₃₉	C₂²	1	2	yes	complemented
111	#380×C₁₃₉	C₂²	1	2	yes	complemented
112	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	2	yes	complemented
113	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
114	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	2	yes	complemented
115	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
116	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	—
117	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	—
118	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	complemented
119	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
120	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	complemented
121	#376×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
122	C₂×#95×C₁₃₉	C₂²	1	1	yes	characteristic
123	C₂×#95×C₁₃₉	C₂²	1	2	yes	—
124	C₂×#95×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
125	C₂⁵×C₁₃₉	C₂³	1	1	yes	characteristic
126	C₂×#41×C₁₃₉	—	2	4	no	—
127	C₂×#41×C₁₃₉	—	4	4	no	—
128	C₂²×Q₈×C₁₃₉	—	2	4	no	—
129	C₂²×Q₈×C₁₃₉	—	4	4	no	—
130	C₂²×Q₈×C₁₃₉	C₂³	1	1	yes	characteristic
131	C₂²×Q₈×C₁₃₉	C₂³	1	2	yes	—
132	C₂²×Q₈×C₁₃₉	C₂³	1	1	yes	characteristic
133	C₂²×Q₈×C₁₃₉	C₂³	1	1	yes	characteristic
134	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
135	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
136	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
137	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
138	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
139	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
140	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
141	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
142	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
143	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
144	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
145	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
146	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
147	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
148	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
149	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
150	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
151	C₄⋊Q₈×C₁₃₉	—	4	4	no	—
152	#126×C₁₃₉	—	2	4	no	—
153	#126×C₁₃₉	—	2	4	no	—
154	#124×C₁₃₉	—	2	4	no	—
155	#124×C₁₃₉	—	2	8	no	—
156	#124×C₁₃₉	—	2	4	no	—
157	#123×C₁₃₉	—	2	4	no	—
158	#123×C₁₃₉	—	2	4	no	—
159	#123×C₁₃₉	—	2	4	no	—
160	#123×C₁₃₉	—	2	8	no	—
161	C₂²⋊Q₈×C₁₃₉	—	2	4	no	—
162	C₂²⋊Q₈×C₁₃₉	—	2	4	no	—
163	C₂²⋊Q₈×C₁₃₉	—	2	4	no	—
164	C₂²⋊Q₈×C₁₃₉	—	2	8	no	—
165	#121×C₁₃₉	—	2	8	no	—
166	#121×C₁₃₉	—	2	4	no	—
167	#121×C₁₃₉	—	4	4	no	—
168	#120×C₁₃₉	—	2	4	no	—
169	#120×C₁₃₉	—	2	8	no	—
170	C₄×Q₈×C₁₃₉	—	2	4	no	—
171	C₄×D₄×C₁₃₉	—	2	4	no	—
172	C₄×D₄×C₁₃₉	—	2	8	no	—
173	C₄×D₄×C₁₃₉	—	2	8	no	—
174	C₄×D₄×C₁₃₉	—	4	4	no	—
175	C₄×D₄×C₁₃₉	D₄	1	8	yes	complemented
176	#117×C₁₃₉	—	2	4	no	—
177	#117×C₁₃₉	—	2	4	no	—
178	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
179	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
180	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
181	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
182	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
183	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
184	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
185	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
186	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
187	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
188	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
189	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
190	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
191	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
192	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
193	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
194	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
195	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
196	C₂×C₂²⋊C₄×C₁₃₉	—	2	4	no	—
197	C₂×C₂²⋊C₄×C₁₃₉	—	2	4	no	—
198	C₂×C₂²⋊C₄×C₁₃₉	—	4	4	no	—
199	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
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	2	yes	—
203	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
204	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
205	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
206	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
207	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
208	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
209	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
210	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
211	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
212	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
213	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
214	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
215	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
216	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
217	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
218	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
219	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
220	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
221	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
222	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
223	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
224	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
225	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
226	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
227	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
228	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
229	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
230	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
231	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
232	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
233	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
234	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
235	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
236	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
237	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
238	C₂×C₄²×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	2	yes	—
242	#95×C₁₃₉	C₂³	1	2	yes	—
243	#95×C₁₃₉	C₂³	1	2	yes	—
244	#95×C₁₃₉	C₂³	1	2	yes	—
245	#95×C₁₃₉	C₂³	1	2	yes	—
246	#95×C₁₃₉	C₂³	1	2	yes	—
247	#95×C₁₃₉	C₂³	1	2	yes	—
248	#95×C₁₃₉	C₂³	1	2	yes	—
249	#95×C₁₃₉	C₂³	1	2	yes	—
250	#95×C₁₃₉	C₂³	1	2	yes	—
251	#95×C₁₃₉	C₂³	1	1	yes	characteristic
252	#95×C₁₃₉	C₂³	1	1	yes	characteristic
253	#95×C₁₃₉	C₂³	1	2	yes	—
254	#95×C₁₃₉	C₂³	1	2	yes	—
255	#95×C₁₃₉	C₂³	1	2	yes	—
256	#95×C₁₃₉	C₂³	1	2	yes	—
257	#95×C₁₃₉	C₂³	1	2	yes	—
258	C₂⁴×C₁₃₉	—	2	2	no	—
259	C₂⁴×C₁₃₉	—	2	2	no	—
260	C₂⁴×C₁₃₉	—	2	4	no	—
261	C₂⁴×C₁₃₉	—	4	2	no	—
262	C₂⁴×C₁₃₉	—	4	1	no	—
263	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
264	C₂⁴×C₁₃₉	C₂⁴	1	2	yes	—
265	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
266	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
267	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
268	#41×C₁₃₉	—	4	16	no	—
269	C₂×Q₈×C₁₃₉	—	2	2	no	—
270	C₂×Q₈×C₁₃₉	—	2	4	no	—
271	C₂×Q₈×C₁₃₉	—	2	2	no	—
272	C₂×Q₈×C₁₃₉	—	2	2	no	—
273	C₂×Q₈×C₁₃₉	—	2	4	no	—
274	C₂×Q₈×C₁₃₉	—	2	4	no	—
275	C₂×Q₈×C₁₃₉	—	4	2	no	—
276	C₂×Q₈×C₁₃₉	—	4	2	no	—
277	C₂×Q₈×C₁₃₉	—	4	2	no	—
278	C₂×Q₈×C₁₃₉	—	4	16	no	—
279	C₂×D₄×C₁₃₉	—	2	4	no	—
280	C₂×D₄×C₁₃₉	—	2	2	no	—
281	C₂×D₄×C₁₃₉	—	2	4	no	—
282	C₂×D₄×C₁₃₉	—	2	4	no	—
283	C₂×D₄×C₁₃₉	—	2	4	no	—
284	C₂×D₄×C₁₃₉	—	2	4	no	—
285	C₂×D₄×C₁₃₉	—	2	4	no	—
286	C₂×D₄×C₁₃₉	—	2	2	no	—
287	C₂×D₄×C₁₃₉	—	2	2	no	—
288	C₂×D₄×C₁₃₉	—	2	2	no	—
289	C₂×D₄×C₁₃₉	—	2	4	no	—
290	C₂×D₄×C₁₃₉	—	2	4	no	—
291	C₂×D₄×C₁₃₉	—	2	4	no	—
292	C₂×D₄×C₁₃₉	—	4	2	no	—
293	C₂×D₄×C₁₃₉	—	4	1	no	—
294	C₂×D₄×C₁₃₉	—	4	2	no	—
295	C₂×D₄×C₁₃₉	—	4	2	no	—
296	C₂×D₄×C₁₃₉	—	4	2	no	—
297	C₂×D₄×C₁₃₉	—	4	2	no	—
298	C₂×D₄×C₁₃₉	—	4	2	no	—
299	C₂×D₄×C₁₃₉	C₂×D₄	1	4	yes	—
300	C₂²×C₄×C₁₃₉	—	2	2	no	—
301	C₂²×C₄×C₁₃₉	—	2	4	no	—
302	C₂²×C₄×C₁₃₉	—	2	4	no	—
303	C₂²×C₄×C₁₃₉	—	2	2	no	—
304	C₂²×C₄×C₁₃₉	—	2	4	no	—
305	C₂²×C₄×C₁₃₉	—	2	2	no	—
306	C₂²×C₄×C₁₃₉	—	2	4	no	—
307	C₂²×C₄×C₁₃₉	—	2	4	no	—
308	C₂²×C₄×C₁₃₉	—	2	4	no	—
309	C₂²×C₄×C₁₃₉	—	2	2	no	—
310	C₂²×C₄×C₁₃₉	—	2	4	no	—
311	C₂²×C₄×C₁₃₉	—	4	1	no	—
312	C₂²×C₄×C₁₃₉	—	4	2	no	—
313	C₂²×C₄×C₁₃₉	—	4	2	no	—
314	C₂²×C₄×C₁₃₉	—	4	2	no	—
315	C₂²×C₄×C₁₃₉	—	4	2	no	—
316	C₂²×C₄×C₁₃₉	—	4	2	no	—
317	C₂²×C₄×C₁₃₉	—	4	2	no	—
318	C₂²×C₄×C₁₃₉	—	4	2	no	—
319	C₂²×C₄×C₁₃₉	—	4	2	no	—
320	C₂²×C₄×C₁₃₉	—	4	2	no	—
321	C₂²×C₄×C₁₃₉	C₂×D₄	1	4	yes	—
322	C₂²×C₄×C₁₃₉	C₂×D₄	1	4	yes	—
323	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
324	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
325	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
326	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
327	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
328	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
329	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
330	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
331	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
332	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
333	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
334	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
335	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
336	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
337	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
338	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
339	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
340	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
341	C₄⋊C₄×C₁₃₉	—	2	2	no	—
342	C₄⋊C₄×C₁₃₉	—	2	2	no	—
343	C₄⋊C₄×C₁₃₉	—	2	2	no	—
344	C₄⋊C₄×C₁₃₉	—	2	2	no	—
345	C₄⋊C₄×C₁₃₉	—	2	4	no	—
346	C₄⋊C₄×C₁₃₉	—	2	2	no	—
347	C₄⋊C₄×C₁₃₉	—	2	4	no	—
348	C₄⋊C₄×C₁₃₉	—	2	2	no	—
349	C₄⋊C₄×C₁₃₉	—	2	2	no	—
350	C₄⋊C₄×C₁₃₉	—	2	2	no	—
351	C₄⋊C₄×C₁₃₉	—	2	4	no	—
352	C₄⋊C₄×C₁₃₉	—	2	4	no	—
353	C₄⋊C₄×C₁₃₉	—	2	4	no	—
354	C₄⋊C₄×C₁₃₉	—	2	4	no	—
355	C₄⋊C₄×C₁₃₉	—	2	4	no	—
356	C₄⋊C₄×C₁₃₉	—	4	2	no	—
357	C₄⋊C₄×C₁₃₉	—	4	2	no	—
358	C₄⋊C₄×C₁₃₉	C₂×D₄	1	4	yes	—
359	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
360	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
361	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
362	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
363	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
364	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
365	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
366	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
367	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
368	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
369	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
370	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
371	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
372	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
373	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
374	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
375	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
376	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
377	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
378	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
379	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
380	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
381	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
382	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
383	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
384	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
385	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
386	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
387	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
388	C₂²⋊C₄×C₁₃₉	C₂×D₄	1	4	yes	—
389	C₂²⋊C₄×C₁₃₉	C₂×D₄	1	4	yes	—
390	C₂²⋊C₄×C₁₃₉	#41	1	8	yes	complemented
391	C₄²×C₁₃₉	—	2	2	no	—
392	C₄²×C₁₃₉	—	2	2	no	—
393	C₄²×C₁₃₉	—	2	4	no	—
394	C₄²×C₁₃₉	—	2	4	no	—
395	C₄²×C₁₃₉	—	4	2	no	—
396	C₄²×C₁₃₉	—	4	2	no	—
397	C₄²×C₁₃₉	—	4	2	no	—
398	C₄²×C₁₃₉	C₂×D₄	1	4	yes	—
399	C₂³×C₁₃₉	—	2	2	no	—
400	C₂³×C₁₃₉	—	2	1	no	—
401	C₂³×C₁₃₉	—	2	1	no	—
402	C₂³×C₁₃₉	—	2	1	no	—
403	C₂³×C₁₃₉	—	2	2	no	—
404	C₂³×C₁₃₉	—	2	2	no	—
405	C₂³×C₁₃₉	—	2	2	no	—
406	C₂³×C₁₃₉	—	2	2	no	—
407	C₂³×C₁₃₉	—	2	1	no	—
408	C₂³×C₁₃₉	—	2	1	no	—
409	C₂³×C₁₃₉	—	2	1	no	—
410	C₂³×C₁₃₉	—	2	1	no	—
411	C₂³×C₁₃₉	—	2	2	no	—
412	C₂³×C₁₃₉	—	2	2	no	—
413	C₂³×C₁₃₉	—	2	2	no	—
414	C₂³×C₁₃₉	—	2	2	no	—
415	C₂³×C₁₃₉	—	2	2	no	—
416	C₂³×C₁₃₉	—	2	2	no	—
417	C₂³×C₁₃₉	—	2	2	no	—
418	C₂³×C₁₃₉	—	2	2	no	—
419	C₂³×C₁₃₉	—	2	1	no	—
420	C₂³×C₁₃₉	—	2	2	no	—
421	C₂³×C₁₃₉	—	2	1	no	—
422	C₂³×C₁₃₉	—	4	4	no	—
423	C₂³×C₁₃₉	—	4	8	no	—
424	C₂³×C₁₃₉	—	4	4	no	—
425	C₂³×C₁₃₉	—	8	2	no	—
426	C₂³×C₁₃₉	—	8	4	no	—
427	C₂³×C₁₃₉	C₂²×D₄	1	2	yes	—
428	C₂³×C₁₃₉	C₂²×D₄	1	2	yes	—
429	C₂³×C₁₃₉	C₂×#41	1	4	yes	—
430	C₂³×C₁₃₉	2₋¹⁺⁴	1	2	yes	—
431	C₂³×C₁₃₉	C₂⁵	1	1	yes	characteristic
432	Q₈×C₁₃₉	—	2	8	no	—
433	Q₈×C₁₃₉	—	4	8	no	—
434	Q₈×C₁₃₉	—	4	4	no	—
435	Q₈×C₁₃₉	—	8	2	no	—
436	D₄×C₁₃₉	—	2	8	no	—
437	D₄×C₁₃₉	—	4	8	no	—
438	D₄×C₁₃₉	—	4	8	no	—
439	D₄×C₁₃₉	—	4	4	no	—
440	D₄×C₁₃₉	—	4	4	no	—
441	D₄×C₁₃₉	—	4	8	no	—
442	D₄×C₁₃₉	—	8	4	no	—
443	D₄×C₁₃₉	—	8	2	no	—
444	C₂×C₄×C₁₃₉	—	2	2	no	—
445	C₂×C₄×C₁₃₉	—	2	2	no	—
446	C₂×C₄×C₁₃₉	—	2	2	no	—
447	C₂×C₄×C₁₃₉	—	2	2	no	—
448	C₂×C₄×C₁₃₉	—	2	2	no	—
449	C₂×C₄×C₁₃₉	—	2	2	no	—
450	C₂×C₄×C₁₃₉	—	2	2	no	—
451	C₂×C₄×C₁₃₉	—	2	2	no	—
452	C₂×C₄×C₁₃₉	—	2	1	no	—
453	C₂×C₄×C₁₃₉	—	2	2	no	—
454	C₂×C₄×C₁₃₉	—	2	1	no	—
455	C₂×C₄×C₁₃₉	—	2	2	no	—
456	C₂×C₄×C₁₃₉	—	2	1	no	—
457	C₂×C₄×C₁₃₉	—	2	2	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	1	no	—
463	C₂×C₄×C₁₃₉	—	2	2	no	—
464	C₂×C₄×C₁₃₉	—	2	2	no	—
465	C₂×C₄×C₁₃₉	—	2	2	no	—
466	C₂×C₄×C₁₃₉	—	2	2	no	—
467	C₂×C₄×C₁₃₉	—	2	2	no	—
468	C₂×C₄×C₁₃₉	—	2	2	no	—
469	C₂×C₄×C₁₃₉	—	2	2	no	—
470	C₂×C₄×C₁₃₉	—	2	2	no	—
471	C₂×C₄×C₁₃₉	—	2	2	no	—
472	C₂×C₄×C₁₃₉	—	2	2	no	—
473	C₂×C₄×C₁₃₉	—	2	2	no	—
474	C₂×C₄×C₁₃₉	—	2	2	no	—
475	C₂×C₄×C₁₃₉	—	2	2	no	—
476	C₂×C₄×C₁₃₉	—	2	1	no	—
477	C₂×C₄×C₁₃₉	—	2	1	no	—
478	C₂×C₄×C₁₃₉	—	2	2	no	—
479	C₂×C₄×C₁₃₉	—	2	1	no	—
480	C₂×C₄×C₁₃₉	—	2	1	no	—
481	C₂×C₄×C₁₃₉	—	2	2	no	—
482	C₂×C₄×C₁₃₉	—	4	4	no	—
483	C₂×C₄×C₁₃₉	—	4	4	no	—
484	C₂×C₄×C₁₃₉	—	4	8	no	—
485	C₂×C₄×C₁₃₉	—	4	4	no	—
486	C₂×C₄×C₁₃₉	—	4	8	no	—
487	C₂×C₄×C₁₃₉	—	4	4	no	—
488	C₂×C₄×C₁₃₉	—	8	2	no	—
489	C₂×C₄×C₁₃₉	—	8	4	no	—
490	C₂×C₄×C₁₃₉	—	8	4	no	—
491	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
492	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
493	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
494	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
495	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
496	C₂×C₄×C₁₃₉	C₂×#41	1	4	yes	—
497	C₂×C₄×C₁₃₉	C₂×#41	1	4	yes	—
498	C₂×C₄×C₁₃₉	H(5,𝔽₂)	1	4	yes	—
499	C₂²×C₁₃₉	—	2	2	no	—
500	C₂²×C₁₃₉	—	2	2	no	—
501	C₂²×C₁₃₉	—	2	4	no	—
502	C₂²×C₁₃₉	—	2	4	no	—
503	C₂²×C₁₃₉	—	2	2	no	—
504	C₂²×C₁₃₉	—	2	2	no	—
505	C₂²×C₁₃₉	—	2	2	no	—
506	C₂²×C₁₃₉	—	2	2	no	—
507	C₂²×C₁₃₉	—	2	4	no	—
508	C₂²×C₁₃₉	—	4	1	no	—
509	C₂²×C₁₃₉	—	4	1	no	—
510	C₂²×C₁₃₉	—	4	2	no	—
511	C₂²×C₁₃₉	—	4	2	no	—
512	C₂²×C₁₃₉	—	4	2	no	—
513	C₂²×C₁₃₉	—	4	2	no	—
514	C₂²×C₁₃₉	—	4	1	no	—
515	C₂²×C₁₃₉	—	4	2	no	—
516	C₂²×C₁₃₉	—	4	1	no	—
517	C₂²×C₁₃₉	—	4	2	no	—
518	C₂²×C₁₃₉	—	4	1	no	—
519	C₂²×C₁₃₉	—	4	2	no	—
520	C₂²×C₁₃₉	—	4	2	no	—
521	C₂²×C₁₃₉	—	4	2	no	—
522	C₂²×C₁₃₉	—	4	2	no	—
523	C₂²×C₁₃₉	—	4	2	no	—
524	C₂²×C₁₃₉	—	4	2	no	—
525	C₂²×C₁₃₉	—	8	8	no	—
526	C₂²×C₁₃₉	#532	1	4	yes	—
527	C₂²×C₁₃₉	C₂³×D₄	1	1	yes	characteristic
528	C₂²×C₁₃₉	C₂²×#41	1	2	yes	—
529	C₂²×C₁₃₉	C₂×H(5,𝔽₂)	1	2	yes	—
530	C₂²×C₁₃₉	C₂×2₋¹⁺⁴	1	1	yes	characteristic
531	C₂²×C₁₃₉	#585	1	1	yes	characteristic
532	C₄×C₁₃₉	—	2	2	no	—
533	C₄×C₁₃₉	—	2	2	no	—
534	C₄×C₁₃₉	—	2	2	no	—
535	C₄×C₁₃₉	—	2	4	no	—
536	C₄×C₁₃₉	—	2	2	no	—
537	C₄×C₁₃₉	—	2	2	no	—
538	C₄×C₁₃₉	—	2	4	no	—
539	C₄×C₁₃₉	—	2	4	no	—
540	C₄×C₁₃₉	—	4	1	no	—
541	C₄×C₁₃₉	—	4	1	no	—
542	C₄×C₁₃₉	—	4	2	no	—
543	C₄×C₁₃₉	—	4	2	no	—
544	C₄×C₁₃₉	—	4	1	no	—
545	C₄×C₁₃₉	—	4	1	no	—
546	C₄×C₁₃₉	—	4	1	no	—
547	C₄×C₁₃₉	—	4	1	no	—
548	C₄×C₁₃₉	—	4	2	no	—
549	C₄×C₁₃₉	—	4	2	no	—
550	C₂×C₁₃₉	—	2	4	no	—
551	C₂×C₁₃₉	—	4	2	no	—
552	C₂×C₁₃₉	—	4	2	no	—
553	C₂×C₁₃₉	—	8	2	no	—
554	C₂×C₁₃₉	—	8	1	no	—
555	C₂×C₁₃₉	C₂×#532	1	1	yes	characteristic
556	C₂×C₁₃₉	#3484	1	1	yes	characteristic
557	C₂×C₁₃₉	#3489	1	1	yes	characteristic
558	C₂×C₁₃₉	#3514	1	2	yes	—
559	C₂×C₁₃₉	#3520	1	2	yes	—
560	#35940	C₁₃₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
561	C₁₃₉	#35940	1	1	yes	characteristic, direct product factor, Sylow
562	C₂×#551	C₂×C₁₃₉	1	1	yes	characteristic, complemented
563	C₂×#548	C₂×C₁₃₉	1	1	yes	characteristic, complemented
564	#2663	C₂×C₁₃₉	1	1	yes	characteristic, complemented
565	#2662	C₂×C₁₃₉	1	1	yes	characteristic, complemented
566	#2639	C₂×C₁₃₉	1	1	yes	characteristic, complemented
567	#2610	C₂×C₁₃₉	1	1	yes	characteristic, complemented
568	#2604	C₂×C₁₃₉	1	1	yes	characteristic, complemented
569	#2564	C₂×C₁₃₉	1	1	yes	characteristic, complemented
570	#2560	C₂×C₁₃₉	1	2	yes	complemented
571	#2557	C₂×C₁₃₉	1	2	yes	complemented
572	#2539	C₂×C₁₃₉	1	1	yes	characteristic, complemented
573	#2491	C₂×C₁₃₉	1	2	yes	complemented
574	#2452	C₂×C₁₃₉	1	2	yes	complemented
575	#2434	C₂×C₁₃₉	1	1	yes	characteristic, complemented
576	#2430	C₂×C₁₃₉	1	1	yes	characteristic, complemented
577	#2425	C₂×C₁₃₉	1	2	yes	complemented
578	#2424	C₂×C₁₃₉	1	2	yes	complemented
579	#2396	C₂×C₁₃₉	1	1	yes	characteristic, complemented
580	#2388	C₂×C₁₃₉	1	1	yes	characteristic, complemented
581	C₂×#393	C₂×C₁₃₉	1	1	yes	characteristic, complemented
582	#2359	C₂×C₁₃₉	1	2	yes	complemented
583	#2358	C₂×C₁₃₉	1	2	yes	complemented
584	#2275	C₂×C₁₃₉	1	1	yes	characteristic, complemented
585	C₂²×#41	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
586	C₂³×Q₈	C₂²×C₁₃₉	1	1	yes	characteristic
587	#551	—	2	8	no	—
588	#548	—	2	8	no	—
589	C₂×C₄⋊Q₈	C₂²×C₁₃₉	1	2	yes	complemented
590	C₂×#126	C₂²×C₁₃₉	1	1	yes	characteristic
591	C₂×#126	C₂²×C₁₃₉	1	1	yes	characteristic
592	C₂×#124	C₂²×C₁₃₉	1	1	yes	characteristic
593	C₂×#124	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
594	C₂×#124	C₂²×C₁₃₉	1	2	yes	complemented
595	C₂×#123	C₂²×C₁₃₉	1	2	yes	—
596	C₂×#123	C₂²×C₁₃₉	1	1	yes	characteristic
597	C₂×#123	C₂²×C₁₃₉	1	1	yes	characteristic
598	C₂×#123	C₂²×C₁₃₉	1	1	yes	characteristic
599	C₂×C₂²⋊Q₈	C₂²×C₁₃₉	1	1	yes	characteristic
600	C₂×C₂²⋊Q₈	C₂²×C₁₃₉	1	1	yes	characteristic
601	C₂×C₂²⋊Q₈	C₂²×C₁₃₉	1	2	yes	complemented
602	C₂×C₂²⋊Q₈	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
603	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic
604	C₂×#121	C₂²×C₁₃₉	1	2	yes	—
605	C₂×#121	C₂²×C₁₃₉	1	2	yes	—
606	C₂×#120	C₂²×C₁₃₉	1	2	yes	—
607	C₂×#120	C₂²×C₁₃₉	1	1	yes	characteristic
608	C₂×C₄×Q₈	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
609	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
610	C₂×C₄×D₄	C₂²×C₁₃₉	1	2	yes	—
611	C₂×C₄×D₄	C₂²×C₁₃₉	1	2	yes	—
612	C₂×C₄×D₄	C₂²×C₁₃₉	1	2	yes	—
613	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
614	C₂×#117	C₂²×C₁₃₉	1	1	yes	characteristic
615	C₂×#117	C₂²×C₁₃₉	1	1	yes	characteristic
616	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
617	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
618	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
619	#400	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
620	#400	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
621	#399	C₂²×C₁₃₉	1	1	yes	characteristic
622	#399	C₂²×C₁₃₉	1	1	yes	characteristic
623	#398	C₂²×C₁₃₉	1	2	yes	complemented
624	#397	C₂²×C₁₃₉	1	2	yes	complemented
625	#397	C₂²×C₁₃₉	1	2	yes	complemented
626	#396	C₂²×C₁₃₉	1	2	yes	—
627	#396	C₂²×C₁₃₉	1	2	yes	complemented
628	#395	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
629	#395	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
630	#395	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
631	#395	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
632	#394	C₂²×C₁₃₉	1	2	yes	—
633	#394	C₂²×C₁₃₉	1	2	yes	—
634	#394	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
635	#394	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
636	#394	C₂²×C₁₃₉	1	2	yes	complemented
637	#393	C₂²×C₁₃₉	1	2	yes	—
638	#393	C₂²×C₁₃₉	1	1	yes	characteristic
639	#393	C₂²×C₁₃₉	1	1	yes	characteristic
640	#393	C₂²×C₁₃₉	1	1	yes	characteristic
641	#393	C₂²×C₁₃₉	1	1	yes	characteristic
642	#393	C₂²×C₁₃₉	1	2	yes	—
643	#393	C₂²×C₁₃₉	1	2	yes	complemented
644	#392	C₂²×C₁₃₉	1	1	yes	characteristic
645	#392	C₂²×C₁₃₉	1	2	yes	—
646	#392	C₂²×C₁₃₉	1	1	yes	characteristic
647	#391	C₂²×C₁₃₉	1	2	yes	complemented
648	#390	C₂²×C₁₃₉	1	2	yes	—
649	#390	C₂²×C₁₃₉	1	2	yes	—
650	#390	C₂²×C₁₃₉	1	2	yes	—
651	#390	C₂²×C₁₃₉	1	2	yes	—
652	#389	C₂²×C₁₃₉	1	2	yes	complemented
653	#389	C₂²×C₁₃₉	1	2	yes	complemented
654	#388	C₂²×C₁₃₉	1	2	yes	—
655	#388	C₂²×C₁₃₉	1	2	yes	—
656	#388	C₂²×C₁₃₉	1	2	yes	—
657	#388	C₂²×C₁₃₉	1	2	yes	complemented
658	#388	C₂²×C₁₃₉	1	2	yes	complemented
659	#388	C₂²×C₁₃₉	1	2	yes	complemented
660	#387	C₂²×C₁₃₉	1	2	yes	complemented
661	#387	C₂²×C₁₃₉	1	2	yes	complemented
662	#386	C₂²×C₁₃₉	1	2	yes	—
663	#386	C₂²×C₁₃₉	1	2	yes	—
664	#386	C₂²×C₁₃₉	1	2	yes	—
665	#386	C₂²×C₁₃₉	1	2	yes	—
666	#386	C₂²×C₁₃₉	1	2	yes	—
667	#386	C₂²×C₁₃₉	1	2	yes	complemented
668	#385	C₂²×C₁₃₉	1	2	yes	—
669	#385	C₂²×C₁₃₉	1	2	yes	—
670	#385	C₂²×C₁₃₉	1	2	yes	—
671	#385	C₂²×C₁₃₉	1	2	yes	complemented
672	#380	C₂²×C₁₃₉	1	2	yes	complemented
673	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	2	yes	complemented
674	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	2	yes	complemented
675	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
676	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
677	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
678	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
679	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	complemented
680	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
681	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	complemented
682	#376	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
683	C₂×#95	C₂²×C₁₃₉	1	2	yes	—
684	C₂×#95	C₂²×C₁₃₉	1	1	yes	characteristic
685	C₂×#95	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
686	C₂⁵	C₂³×C₁₃₉	1	1	yes	characteristic
687	C₂×#41	—	2	4	no	—
688	C₂×#41	—	4	4	no	—
689	C₂²×Q₈	—	2	4	no	—
690	C₂²×Q₈	—	4	4	no	—
691	C₂²×Q₈	C₂³×C₁₃₉	1	1	yes	characteristic
692	C₂²×Q₈	C₂³×C₁₃₉	1	2	yes	—
693	C₂²×Q₈	C₂³×C₁₃₉	1	1	yes	characteristic
694	C₂²×Q₈	C₂³×C₁₃₉	1	1	yes	characteristic
695	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
696	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
697	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
698	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
699	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
700	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
701	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
702	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
703	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
704	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
705	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
706	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
707	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
708	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
709	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
710	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
711	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
712	C₄⋊Q₈	—	4	4	no	—
713	#126	—	2	4	no	—
714	#126	—	2	4	no	—
715	#124	—	2	4	no	—
716	#124	—	2	8	no	—
717	#124	—	2	4	no	—
718	#123	—	2	4	no	—
719	#123	—	2	4	no	—
720	#123	—	2	4	no	—
721	#123	—	2	8	no	—
722	C₂²⋊Q₈	—	2	4	no	—
723	C₂²⋊Q₈	—	2	4	no	—
724	C₂²⋊Q₈	—	2	4	no	—
725	C₂²⋊Q₈	—	2	8	no	—
726	#121	—	2	8	no	—
727	#121	—	2	4	no	—
728	#121	—	4	4	no	—
729	#120	—	2	4	no	—
730	#120	—	2	8	no	—
731	C₄×Q₈	—	2	4	no	—
732	C₄×D₄	—	2	4	no	—
733	C₄×D₄	—	2	8	no	—
734	C₄×D₄	—	2	8	no	—
735	C₄×D₄	—	4	4	no	—
736	C₄×D₄	D₄×C₁₃₉	1	8	yes	complemented
737	#117	—	2	4	no	—
738	#117	—	2	4	no	—
739	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
740	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
741	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
742	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
743	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
744	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
745	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
746	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
747	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
748	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
749	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
750	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
751	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
752	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
753	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
754	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
755	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
756	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
757	C₂×C₂²⋊C₄	—	2	4	no	—
758	C₂×C₂²⋊C₄	—	2	4	no	—
759	C₂×C₂²⋊C₄	—	4	4	no	—
760	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
761	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
762	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
763	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
764	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
765	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
766	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
767	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
768	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
769	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
770	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
771	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
772	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
773	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
774	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
775	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
776	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
777	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
778	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
779	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
780	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
781	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
782	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
783	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
784	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
785	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
786	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
787	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
788	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
789	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
790	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
791	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
792	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
793	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
794	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
795	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
796	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
797	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
798	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
799	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
800	#95	C₂³×C₁₃₉	1	1	yes	characteristic
801	#95	C₂³×C₁₃₉	1	2	yes	—
802	#95	C₂³×C₁₃₉	1	2	yes	—
803	#95	C₂³×C₁₃₉	1	1	yes	characteristic
804	#95	C₂³×C₁₃₉	1	2	yes	—
805	#95	C₂³×C₁₃₉	1	2	yes	—
806	#95	C₂³×C₁₃₉	1	2	yes	—
807	#95	C₂³×C₁₃₉	1	2	yes	—
808	#95	C₂³×C₁₃₉	1	1	yes	characteristic
809	#95	C₂³×C₁₃₉	1	2	yes	—
810	#95	C₂³×C₁₃₉	1	1	yes	characteristic
811	#95	C₂³×C₁₃₉	1	2	yes	—
812	#95	C₂³×C₁₃₉	1	2	yes	—
813	#95	C₂³×C₁₃₉	1	2	yes	—
814	#95	C₂³×C₁₃₉	1	2	yes	—
815	#95	C₂³×C₁₃₉	1	2	yes	—
816	#95	C₂³×C₁₃₉	1	2	yes	—
817	#95	C₂³×C₁₃₉	1	2	yes	—
818	#95	C₂³×C₁₃₉	1	2	yes	—
819	C₂⁴	—	2	2	no	—
820	C₂⁴	—	2	2	no	—
821	C₂⁴	—	2	4	no	—
822	C₂⁴	—	4	2	no	—
823	C₂⁴	—	4	1	no	—
824	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
825	C₂⁴	C₂⁴×C₁₃₉	1	2	yes	—
826	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
827	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
828	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
829	#41	—	4	16	no	—
830	C₂×Q₈	—	2	2	no	—
831	C₂×Q₈	—	2	4	no	—
832	C₂×Q₈	—	2	2	no	—
833	C₂×Q₈	—	2	2	no	—
834	C₂×Q₈	—	2	4	no	—
835	C₂×Q₈	—	2	4	no	—
836	C₂×Q₈	—	4	2	no	—
837	C₂×Q₈	—	4	2	no	—
838	C₂×Q₈	—	4	2	no	—
839	C₂×Q₈	—	4	16	no	—
840	C₂×D₄	—	2	4	no	—
841	C₂×D₄	—	2	2	no	—
842	C₂×D₄	—	2	4	no	—
843	C₂×D₄	—	2	4	no	—
844	C₂×D₄	—	2	4	no	—
845	C₂×D₄	—	2	4	no	—
846	C₂×D₄	—	2	4	no	—
847	C₂×D₄	—	2	2	no	—
848	C₂×D₄	—	2	2	no	—
849	C₂×D₄	—	2	2	no	—
850	C₂×D₄	—	2	4	no	—
851	C₂×D₄	—	2	4	no	—
852	C₂×D₄	—	2	4	no	—
853	C₂×D₄	—	4	2	no	—
854	C₂×D₄	—	4	1	no	—
855	C₂×D₄	—	4	2	no	—
856	C₂×D₄	—	4	2	no	—
857	C₂×D₄	—	4	2	no	—
858	C₂×D₄	—	4	2	no	—
859	C₂×D₄	—	4	2	no	—
860	C₂×D₄	C₂×D₄×C₁₃₉	1	4	yes	—
861	C₂²×C₄	—	2	2	no	—
862	C₂²×C₄	—	2	4	no	—
863	C₂²×C₄	—	2	4	no	—
864	C₂²×C₄	—	2	2	no	—
865	C₂²×C₄	—	2	4	no	—
866	C₂²×C₄	—	2	2	no	—
867	C₂²×C₄	—	2	4	no	—
868	C₂²×C₄	—	2	4	no	—
869	C₂²×C₄	—	2	4	no	—
870	C₂²×C₄	—	2	2	no	—
871	C₂²×C₄	—	2	4	no	—
872	C₂²×C₄	—	4	1	no	—
873	C₂²×C₄	—	4	2	no	—
874	C₂²×C₄	—	4	2	no	—
875	C₂²×C₄	—	4	2	no	—
876	C₂²×C₄	—	4	2	no	—
877	C₂²×C₄	—	4	2	no	—
878	C₂²×C₄	—	4	2	no	—
879	C₂²×C₄	—	4	2	no	—
880	C₂²×C₄	—	4	2	no	—
881	C₂²×C₄	—	4	2	no	—
882	C₂²×C₄	C₂×D₄×C₁₃₉	1	4	yes	—
883	C₂²×C₄	C₂×D₄×C₁₃₉	1	4	yes	—
884	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
885	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
886	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
887	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
888	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
889	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
890	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
891	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
892	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
893	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
894	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
895	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
896	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
897	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
898	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
899	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
900	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
901	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
902	C₄⋊C₄	—	2	2	no	—
903	C₄⋊C₄	—	2	2	no	—
904	C₄⋊C₄	—	2	2	no	—
905	C₄⋊C₄	—	2	2	no	—
906	C₄⋊C₄	—	2	4	no	—
907	C₄⋊C₄	—	2	2	no	—
908	C₄⋊C₄	—	2	4	no	—
909	C₄⋊C₄	—	2	2	no	—
910	C₄⋊C₄	—	2	2	no	—
911	C₄⋊C₄	—	2	2	no	—
912	C₄⋊C₄	—	2	4	no	—
913	C₄⋊C₄	—	2	4	no	—
914	C₄⋊C₄	—	2	4	no	—
915	C₄⋊C₄	—	2	4	no	—
916	C₄⋊C₄	—	2	4	no	—
917	C₄⋊C₄	—	4	2	no	—
918	C₄⋊C₄	—	4	2	no	—
919	C₄⋊C₄	C₂×D₄×C₁₃₉	1	4	yes	—
920	C₂²⋊C₄	—	2	2	no	—
921	C₂²⋊C₄	—	2	2	no	—
922	C₂²⋊C₄	—	2	2	no	—
923	C₂²⋊C₄	—	2	4	no	—
924	C₂²⋊C₄	—	2	2	no	—
925	C₂²⋊C₄	—	2	2	no	—
926	C₂²⋊C₄	—	2	2	no	—
927	C₂²⋊C₄	—	2	2	no	—
928	C₂²⋊C₄	—	2	2	no	—
929	C₂²⋊C₄	—	2	2	no	—
930	C₂²⋊C₄	—	2	2	no	—
931	C₂²⋊C₄	—	2	2	no	—
932	C₂²⋊C₄	—	2	4	no	—
933	C₂²⋊C₄	—	2	2	no	—
934	C₂²⋊C₄	—	2	4	no	—
935	C₂²⋊C₄	—	2	4	no	—
936	C₂²⋊C₄	—	2	4	no	—
937	C₂²⋊C₄	—	2	4	no	—
938	C₂²⋊C₄	—	2	4	no	—
939	C₂²⋊C₄	—	2	4	no	—
940	C₂²⋊C₄	—	2	4	no	—
941	C₂²⋊C₄	—	2	4	no	—
942	C₂²⋊C₄	—	2	4	no	—
943	C₂²⋊C₄	—	4	2	no	—
944	C₂²⋊C₄	—	4	2	no	—
945	C₂²⋊C₄	—	4	2	no	—
946	C₂²⋊C₄	—	4	2	no	—
947	C₂²⋊C₄	—	4	2	no	—
948	C₂²⋊C₄	—	4	2	no	—
949	C₂²⋊C₄	C₂×D₄×C₁₃₉	1	4	yes	—
950	C₂²⋊C₄	C₂×D₄×C₁₃₉	1	4	yes	—
951	C₂²⋊C₄	#41×C₁₃₉	1	8	yes	complemented
952	C₄²	—	2	2	no	—
953	C₄²	—	2	2	no	—
954	C₄²	—	2	4	no	—
955	C₄²	—	2	4	no	—
956	C₄²	—	4	2	no	—
957	C₄²	—	4	2	no	—
958	C₄²	—	4	2	no	—
959	C₄²	C₂×D₄×C₁₃₉	1	4	yes	—
960	C₂³	—	2	2	no	—
961	C₂³	—	2	1	no	—
962	C₂³	—	2	1	no	—
963	C₂³	—	2	1	no	—
964	C₂³	—	2	2	no	—
965	C₂³	—	2	2	no	—
966	C₂³	—	2	2	no	—
967	C₂³	—	2	2	no	—
968	C₂³	—	2	1	no	—
969	C₂³	—	2	1	no	—
970	C₂³	—	2	1	no	—
971	C₂³	—	2	1	no	—
972	C₂³	—	2	2	no	—
973	C₂³	—	2	2	no	—
974	C₂³	—	2	2	no	—
975	C₂³	—	2	2	no	—
976	C₂³	—	2	2	no	—
977	C₂³	—	2	2	no	—
978	C₂³	—	2	2	no	—
979	C₂³	—	2	2	no	—
980	C₂³	—	2	1	no	—
981	C₂³	—	2	2	no	—
982	C₂³	—	2	1	no	—
983	C₂³	—	4	4	no	—
984	C₂³	—	4	8	no	—
985	C₂³	—	4	4	no	—
986	C₂³	—	8	2	no	—
987	C₂³	—	8	4	no	—
988	C₂³	C₂²×D₄×C₁₃₉	1	2	yes	—
989	C₂³	C₂²×D₄×C₁₃₉	1	2	yes	—
990	C₂³	C₂×#41×C₁₃₉	1	4	yes	—
991	C₂³	2₋¹⁺⁴×C₁₃₉	1	2	yes	—
992	C₂³	C₂⁵×C₁₃₉	1	1	yes	characteristic
993	Q₈	—	2	8	no	—
994	Q₈	—	4	8	no	—
995	Q₈	—	4	4	no	—
996	Q₈	—	8	2	no	—
997	D₄	—	2	8	no	—
998	D₄	—	4	8	no	—
999	D₄	—	4	8	no	—
1000	D₄	—	4	4	no	—
1001	D₄	—	4	4	no	—
1002	D₄	—	4	8	no	—
1003	D₄	—	8	4	no	—
1004	D₄	—	8	2	no	—
1005	C₂×C₄	—	2	2	no	—
1006	C₂×C₄	—	2	2	no	—
1007	C₂×C₄	—	2	2	no	—
1008	C₂×C₄	—	2	2	no	—
1009	C₂×C₄	—	2	2	no	—
1010	C₂×C₄	—	2	2	no	—
1011	C₂×C₄	—	2	2	no	—
1012	C₂×C₄	—	2	2	no	—
1013	C₂×C₄	—	2	1	no	—
1014	C₂×C₄	—	2	2	no	—
1015	C₂×C₄	—	2	1	no	—
1016	C₂×C₄	—	2	2	no	—
1017	C₂×C₄	—	2	1	no	—
1018	C₂×C₄	—	2	2	no	—
1019	C₂×C₄	—	2	1	no	—
1020	C₂×C₄	—	2	1	no	—
1021	C₂×C₄	—	2	1	no	—
1022	C₂×C₄	—	2	1	no	—
1023	C₂×C₄	—	2	1	no	—
1024	C₂×C₄	—	2	2	no	—
1025	C₂×C₄	—	2	2	no	—
1026	C₂×C₄	—	2	2	no	—
1027	C₂×C₄	—	2	2	no	—
1028	C₂×C₄	—	2	2	no	—
1029	C₂×C₄	—	2	2	no	—
1030	C₂×C₄	—	2	2	no	—
1031	C₂×C₄	—	2	2	no	—
1032	C₂×C₄	—	2	2	no	—
1033	C₂×C₄	—	2	2	no	—
1034	C₂×C₄	—	2	2	no	—
1035	C₂×C₄	—	2	2	no	—
1036	C₂×C₄	—	2	2	no	—
1037	C₂×C₄	—	2	1	no	—
1038	C₂×C₄	—	2	1	no	—
1039	C₂×C₄	—	2	2	no	—
1040	C₂×C₄	—	2	1	no	—
1041	C₂×C₄	—	2	1	no	—
1042	C₂×C₄	—	2	2	no	—
1043	C₂×C₄	—	4	4	no	—
1044	C₂×C₄	—	4	4	no	—
1045	C₂×C₄	—	4	8	no	—
1046	C₂×C₄	—	4	8	no	—
1047	C₂×C₄	—	4	4	no	—
1048	C₂×C₄	—	4	4	no	—
1049	C₂×C₄	—	8	2	no	—
1050	C₂×C₄	—	8	4	no	—
1051	C₂×C₄	—	8	4	no	—
1052	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
1053	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
1054	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
1055	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
1056	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
1057	C₂×C₄	C₂×#41×C₁₃₉	1	4	yes	—
1058	C₂×C₄	C₂×#41×C₁₃₉	1	4	yes	—
1059	C₂×C₄	H(5,𝔽₂)×C₁₃₉	1	4	yes	—
1060	C₂²	—	2	2	no	—
1061	C₂²	—	2	2	no	—
1062	C₂²	—	2	4	no	—
1063	C₂²	—	2	4	no	—
1064	C₂²	—	2	2	no	—
1065	C₂²	—	2	2	no	—
1066	C₂²	—	2	2	no	—
1067	C₂²	—	2	2	no	—
1068	C₂²	—	2	4	no	—
1069	C₂²	—	4	1	no	—
1070	C₂²	—	4	1	no	—
1071	C₂²	—	4	2	no	—
1072	C₂²	—	4	2	no	—
1073	C₂²	—	4	2	no	—
1074	C₂²	—	4	2	no	—
1075	C₂²	—	4	1	no	—
1076	C₂²	—	4	2	no	—
1077	C₂²	—	4	1	no	—
1078	C₂²	—	4	1	no	—
1079	C₂²	—	4	2	no	—
1080	C₂²	—	4	2	no	—
1081	C₂²	—	4	2	no	—
1082	C₂²	—	4	2	no	—
1083	C₂²	—	4	2	no	—
1084	C₂²	—	4	2	no	—
1085	C₂²	—	4	2	no	—
1086	C₂²	—	8	8	no	—
1087	C₂²	#532×C₁₃₉	1	4	yes	—
1088	C₂²	C₂³×D₄×C₁₃₉	1	1	yes	characteristic
1089	C₂²	C₂²×#41×C₁₃₉	1	2	yes	—
1090	C₂²	C₂×H(5,𝔽₂)×C₁₃₉	1	2	yes	—
1091	C₂²	C₂×2₋¹⁺⁴×C₁₃₉	1	1	yes	characteristic
1092	C₂²	#585×C₁₃₉	1	1	yes	characteristic
1093	C₄	—	2	2	no	—
1094	C₄	—	2	2	no	—
1095	C₄	—	2	2	no	—
1096	C₄	—	2	4	no	—
1097	C₄	—	2	2	no	—
1098	C₄	—	2	2	no	—
1099	C₄	—	2	4	no	—
1100	C₄	—	2	4	no	—
1101	C₄	—	4	1	no	—
1102	C₄	—	4	1	no	—
1103	C₄	—	4	2	no	—
1104	C₄	—	4	2	no	—
1105	C₄	—	4	1	no	—
1106	C₄	—	4	1	no	—
1107	C₄	—	4	1	no	—
1108	C₄	—	4	1	no	—
1109	C₄	—	4	2	no	—
1110	C₄	—	4	2	no	—
1111	C₂	—	2	4	no	—
1112	C₂	—	4	2	no	—
1113	C₂	—	4	2	no	—
1114	C₂	—	8	1	no	—
1115	C₂	—	8	2	no	—
1116	C₂	C₂×#532×C₁₃₉	1	1	yes	characteristic
1117	C₂	#3484×C₁₃₉	1	1	yes	characteristic
1118	C₂	#3489×C₁₃₉	1	1	yes	characteristic
1119	C₂	#3514×C₁₃₉	1	2	yes	—
1120	C₂	#3520×C₁₃₉	1	2	yes	—

	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. C₂×#551×C₁₃₉	C₂	semidirect
2. C₂×#548×C₁₃₉	C₂	semidirect
3. #2663×C₁₃₉	C₂	semidirect
4. #2662×C₁₃₉	C₂	semidirect
5. #2639×C₁₃₉	C₂	semidirect
6. #2610×C₁₃₉	C₂	semidirect
7. #2604×C₁₃₉	C₂	semidirect
8. #2564×C₁₃₉	C₂	semidirect
9. #2560×C₁₃₉	C₂	semidirect
10. #2557×C₁₃₉	C₂	semidirect
11. #2539×C₁₃₉	C₂	semidirect
12. #2491×C₁₃₉	C₂	semidirect
13. #2452×C₁₃₉	C₂	semidirect
14. #2434×C₁₃₉	C₂	semidirect
15. #2430×C₁₃₉	C₂	semidirect
16. #2425×C₁₃₉	C₂	semidirect
17. #2424×C₁₃₉	C₂	semidirect
18. #2396×C₁₃₉	C₂	semidirect
19. #2388×C₁₃₉	C₂	semidirect
20. C₂×#393×C₁₃₉	C₂	semidirect
21. #2359×C₁₃₉	C₂	semidirect
22. #2358×C₁₃₉	C₂	semidirect
23. #2275×C₁₃₉	C₂	semidirect
24. C₂²×#41×C₁₃₉	C₂²	semidirect
28. C₂×C₄⋊Q₈×C₁₃₉	C₂²	semidirect
32. C₂×#124×C₁₃₉	C₂²	semidirect
33. C₂×#124×C₁₃₉	C₂²	semidirect
40. C₂×C₂²⋊Q₈×C₁₃₉	C₂²	semidirect
41. C₂×C₂²⋊Q₈×C₁₃₉	C₂²	semidirect
47. C₂×C₄×Q₈×C₁₃₉	C₂²	semidirect
58. #400×C₁₃₉	C₂²	semidirect
59. #400×C₁₃₉	C₂²	semidirect
62. #398×C₁₃₉	C₂²	semidirect
63. #397×C₁₃₉	C₂²	semidirect
64. #397×C₁₃₉	C₂²	semidirect
66. #396×C₁₃₉	C₂²	semidirect
67. #395×C₁₃₉	C₂²	semidirect
68. #395×C₁₃₉	C₂²	semidirect
69. #395×C₁₃₉	C₂²	semidirect
70. #395×C₁₃₉	C₂²	semidirect
73. #394×C₁₃₉	C₂²	semidirect
74. #394×C₁₃₉	C₂²	semidirect
75. #394×C₁₃₉	C₂²	semidirect
82. #393×C₁₃₉	C₂²	semidirect
86. #391×C₁₃₉	C₂²	semidirect
91. #389×C₁₃₉	C₂²	semidirect
92. #389×C₁₃₉	C₂²	semidirect
96. #388×C₁₃₉	C₂²	semidirect
97. #388×C₁₃₉	C₂²	semidirect
98. #388×C₁₃₉	C₂²	semidirect
99. #387×C₁₃₉	C₂²	semidirect
100. #387×C₁₃₉	C₂²	semidirect
106. #386×C₁₃₉	C₂²	semidirect
110. #385×C₁₃₉	C₂²	semidirect
111. #380×C₁₃₉	C₂²	semidirect
112. C₄×C₄⋊C₄×C₁₃₉	C₂²	semidirect
113. C₄×C₄⋊C₄×C₁₃₉	C₂²	semidirect
114. C₄×C₄⋊C₄×C₁₃₉	C₂²	semidirect
118. C₄×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
119. C₄×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
120. C₄×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
121. #376×C₁₃₉	C₂²	semidirect
124. C₂×#95×C₁₃₉	C₂²	semidirect
175. C₄×D₄×C₁₃₉	D₄	semidirect
390. C₂²⋊C₄×C₁₃₉	#41	semidirect
560. #35940	C₁₃₉	direct (N × H)
561. C₁₃₉	#35940	direct (N × H)
562. C₂×#551	C₂×C₁₃₉	semidirect
563. C₂×#548	C₂×C₁₃₉	semidirect
564. #2663	C₂×C₁₃₉	semidirect
565. #2662	C₂×C₁₃₉	semidirect
566. #2639	C₂×C₁₃₉	semidirect
567. #2610	C₂×C₁₃₉	semidirect
568. #2604	C₂×C₁₃₉	semidirect
569. #2564	C₂×C₁₃₉	semidirect
570. #2560	C₂×C₁₃₉	semidirect
571. #2557	C₂×C₁₃₉	semidirect
572. #2539	C₂×C₁₃₉	semidirect
573. #2491	C₂×C₁₃₉	semidirect
574. #2452	C₂×C₁₃₉	semidirect
575. #2434	C₂×C₁₃₉	semidirect
576. #2430	C₂×C₁₃₉	semidirect
577. #2425	C₂×C₁₃₉	semidirect
578. #2424	C₂×C₁₃₉	semidirect
579. #2396	C₂×C₁₃₉	semidirect
580. #2388	C₂×C₁₃₉	semidirect
581. C₂×#393	C₂×C₁₃₉	semidirect
582. #2359	C₂×C₁₃₉	semidirect
583. #2358	C₂×C₁₃₉	semidirect
584. #2275	C₂×C₁₃₉	semidirect
585. C₂²×#41	C₂²×C₁₃₉	semidirect
589. C₂×C₄⋊Q₈	C₂²×C₁₃₉	semidirect
593. C₂×#124	C₂²×C₁₃₉	semidirect
594. C₂×#124	C₂²×C₁₃₉	semidirect
601. C₂×C₂²⋊Q₈	C₂²×C₁₃₉	semidirect
602. C₂×C₂²⋊Q₈	C₂²×C₁₃₉	semidirect
608. C₂×C₄×Q₈	C₂²×C₁₃₉	semidirect
619. #400	C₂²×C₁₃₉	semidirect
620. #400	C₂²×C₁₃₉	semidirect
623. #398	C₂²×C₁₃₉	semidirect
624. #397	C₂²×C₁₃₉	semidirect
625. #397	C₂²×C₁₃₉	semidirect
627. #396	C₂²×C₁₃₉	semidirect
628. #395	C₂²×C₁₃₉	semidirect
629. #395	C₂²×C₁₃₉	semidirect
630. #395	C₂²×C₁₃₉	semidirect
631. #395	C₂²×C₁₃₉	semidirect
634. #394	C₂²×C₁₃₉	semidirect
635. #394	C₂²×C₁₃₉	semidirect
636. #394	C₂²×C₁₃₉	semidirect
643. #393	C₂²×C₁₃₉	semidirect
647. #391	C₂²×C₁₃₉	semidirect
652. #389	C₂²×C₁₃₉	semidirect
653. #389	C₂²×C₁₃₉	semidirect
657. #388	C₂²×C₁₃₉	semidirect
658. #388	C₂²×C₁₃₉	semidirect
659. #388	C₂²×C₁₃₉	semidirect
660. #387	C₂²×C₁₃₉	semidirect
661. #387	C₂²×C₁₃₉	semidirect
667. #386	C₂²×C₁₃₉	semidirect
671. #385	C₂²×C₁₃₉	semidirect
672. #380	C₂²×C₁₃₉	semidirect
673. C₄×C₄⋊C₄	C₂²×C₁₃₉	semidirect
674. C₄×C₄⋊C₄	C₂²×C₁₃₉	semidirect
675. C₄×C₄⋊C₄	C₂²×C₁₃₉	semidirect
679. C₄×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
680. C₄×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
681. C₄×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
682. #376	C₂²×C₁₃₉	semidirect
685. C₂×#95	C₂²×C₁₃₉	semidirect
736. C₄×D₄	D₄×C₁₃₉	semidirect
951. C₂²⋊C₄	#41×C₁₃₉	semidirect

Maximal subgroups

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

subgroup	index
C₂×#551×C₁₃₉	2
C₂×#548×C₁₃₉	2
#2663×C₁₃₉	2
#2662×C₁₃₉	2
#2639×C₁₃₉	2
#2610×C₁₃₉	2
#2604×C₁₃₉	2
#2564×C₁₃₉	2
#2560×C₁₃₉	2
#2557×C₁₃₉	2
#2539×C₁₃₉	2
#2491×C₁₃₉	2
#2452×C₁₃₉	2
#2434×C₁₃₉	2
#2430×C₁₃₉	2
#2425×C₁₃₉	2
#2424×C₁₃₉	2
#2396×C₁₃₉	2
#2388×C₁₃₉	2
C₂×#393×C₁₃₉	2
#2359×C₁₃₉	2
#2358×C₁₃₉	2
#2275×C₁₃₉	2
#35940	139

Subgroups — C139×#35940 #48030536

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃₉×#35940 #48030536