Subgroups — C₁₃₉×#36147 #48030743

Order 35584.

2964 conjugacy classes of subgroups.

The subgroup lattice has 1236 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#532×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#525×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
3	#2855×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
4	#2850×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
5	#2847×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
6	#2557×C₁₃₉	C₂	1	2	yes	maximal, complemented
7	#2492×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
8	#2459×C₁₃₉	C₂	1	2	yes	maximal, complemented
9	#2457×C₁₃₉	C₂	1	2	yes	maximal, complemented
10	#2444×C₁₃₉	C₂	1	2	yes	maximal, complemented
11	#2439×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
12	#2431×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
13	#2428×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
14	#2427×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
15	#2424×C₁₃₉	C₂	1	2	yes	maximal, complemented
16	#2420×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
17	#2404×C₁₃₉	C₂	1	2	yes	maximal, complemented
18	#2364×C₁₃₉	C₂	1	2	yes	maximal, complemented
19	#2363×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
20	#2339×C₁₃₉	C₂	1	2	yes	maximal, complemented
21	#2339×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
22	C₄×#121×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×C₄×C₂²⋊C₄×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²×#41×C₁₃₉	C₂²	1	2	yes	—
25	C₂²×#41×C₁₃₉	C₂²	1	1	yes	characteristic
26	C₂⁴×C₄×C₁₃₉	C₂²	1	1	yes	characteristic
27	#532×C₁₃₉	—	2	8	no	—
28	C₂×C₄⋊Q₈×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
29	C₂×#127×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
30	C₂×#124×C₁₃₉	C₂²	1	2	yes	complemented
31	C₂×#124×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
32	#525×C₁₃₉	—	2	8	no	—
33	C₂×#123×C₁₃₉	C₂²	1	2	yes	—
34	C₂×C₂²⋊Q₈×C₁₃₉	C₂²	1	1	yes	characteristic
35	C₂×C₂²⋊Q₈×C₁₃₉	C₂²	1	1	yes	characteristic
36	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic
37	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic
38	C₂×#121×C₁₃₉	C₂²	1	2	yes	—
39	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic
40	C₂×#121×C₁₃₉	C₂²	1	2	yes	—
41	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic
42	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic
43	C₂×#120×C₁₃₉	C₂²	1	2	yes	—
44	C₂×#120×C₁₃₉	C₂²	1	2	yes	—
45	C₂×C₄×D₄×C₁₃₉	C₂²	1	2	yes	—
46	C₂×C₄×D₄×C₁₃₉	C₂²	1	2	yes	—
47	C₂×C₄×D₄×C₁₃₉	C₂²	1	2	yes	—
48	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
49	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
50	C₂×C₄×D₄×C₁₃₉	C₂²	1	2	yes	complemented
51	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
52	C₂×#117×C₁₃₉	C₂²	1	1	yes	characteristic
53	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
54	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
55	C₂²×C₄²×C₁₃₉	C₂²	1	1	yes	characteristic
56	C₂²×C₄²×C₁₃₉	C₂²	1	1	yes	characteristic
57	#400×C₁₃₉	C₂²	1	2	yes	complemented
58	#397×C₁₃₉	C₂²	1	2	yes	complemented
59	#397×C₁₃₉	C₂²	1	2	yes	complemented
60	#396×C₁₃₉	C₂²	1	2	yes	—
61	#394×C₁₃₉	C₂²	1	2	yes	—
62	#394×C₁₃₉	C₂²	1	2	yes	—
63	#394×C₁₃₉	C₂²	1	2	yes	complemented
64	#393×C₁₃₉	C₂²	1	2	yes	—
65	#393×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	2	yes	complemented
70	#391×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
71	#391×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
72	#391×C₁₃₉	C₂²	1	2	yes	complemented
73	#391×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
74	#390×C₁₃₉	C₂²	1	2	yes	—
75	#390×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
76	#390×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
77	#389×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
78	#389×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
79	#389×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
80	#388×C₁₃₉	C₂²	1	2	yes	—
81	#388×C₁₃₉	C₂²	1	2	yes	complemented
82	#388×C₁₃₉	C₂²	1	2	yes	complemented
83	#388×C₁₃₉	C₂²	1	2	yes	complemented
84	#388×C₁₃₉	C₂²	1	2	yes	complemented
85	#387×C₁₃₉	C₂²	1	2	yes	complemented
86	#387×C₁₃₉	C₂²	1	2	yes	complemented
87	#387×C₁₃₉	C₂²	1	2	yes	complemented
88	#386×C₁₃₉	C₂²	1	2	yes	—
89	#386×C₁₃₉	C₂²	1	2	yes	—
90	#386×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	complemented
100	#386×C₁₃₉	C₂²	1	2	yes	complemented
101	#386×C₁₃₉	C₂²	1	2	yes	complemented
102	#385×C₁₃₉	C₂²	1	2	yes	—
103	#382×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
104	#381×C₁₃₉	C₂²	1	2	yes	—
105	#381×C₁₃₉	C₂²	1	2	yes	complemented
106	#381×C₁₃₉	C₂²	1	2	yes	complemented
107	#380×C₁₃₉	C₂²	1	1	yes	characteristic
108	#380×C₁₃₉	C₂²	1	1	yes	characteristic
109	#380×C₁₃₉	C₂²	1	1	yes	characteristic
110	#380×C₁₃₉	C₂²	1	2	yes	complemented
111	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
112	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
113	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
114	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
115	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
116	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
117	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
118	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
119	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
120	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	complemented
121	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	complemented
122	C₂×#95×C₁₃₉	C₂²	1	1	yes	characteristic
123	C₂×#95×C₁₃₉	C₂²	1	1	yes	characteristic
124	C₂×#95×C₁₃₉	C₂²	1	2	yes	complemented
125	C₂⁵×C₁₃₉	C₂³	1	1	yes	characteristic
126	C₂×#41×C₁₃₉	—	2	4	no	—
127	C₂×#41×C₁₃₉	—	2	8	no	—
128	C₂×#41×C₁₃₉	—	2	8	no	—
129	C₂×#41×C₁₃₉	—	2	4	no	—
130	C₂×#41×C₁₃₉	—	4	4	no	—
131	C₂×#41×C₁₃₉	—	4	2	no	—
132	C₂²×Q₈×C₁₃₉	C₂³	1	1	yes	characteristic
133	C₂²×Q₈×C₁₃₉	C₂³	1	2	yes	—
134	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
135	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
136	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
137	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
138	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
139	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
140	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
141	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
142	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
143	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
144	C₂³×C₄×C₁₃₉	—	2	4	no	—
145	C₂³×C₄×C₁₃₉	—	2	4	no	—
146	C₂³×C₄×C₁₃₉	—	4	2	no	—
147	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
148	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
149	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
150	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
151	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
152	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
153	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
154	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
155	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
156	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
157	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
158	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
159	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
160	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
161	C₄⋊Q₈×C₁₃₉	—	2	4	no	—
162	#127×C₁₃₉	—	2	4	no	—
163	#124×C₁₃₉	—	2	8	no	—
164	#124×C₁₃₉	—	4	2	no	—
165	#123×C₁₃₉	—	2	8	no	—
166	C₂²⋊Q₈×C₁₃₉	—	2	4	no	—
167	C₂²⋊Q₈×C₁₃₉	—	2	4	no	—
168	#121×C₁₃₉	—	2	4	no	—
169	#121×C₁₃₉	—	2	8	no	—
170	#121×C₁₃₉	—	2	4	no	—
171	#121×C₁₃₉	—	2	4	no	—
172	#121×C₁₃₉	—	2	8	no	—
173	#121×C₁₃₉	—	4	2	no	—
174	#121×C₁₃₉	D₄	1	8	yes	complemented
175	#120×C₁₃₉	—	2	8	no	—
176	#120×C₁₃₉	—	4	4	no	—
177	C₄×D₄×C₁₃₉	—	2	8	no	—
178	C₄×D₄×C₁₃₉	—	2	4	no	—
179	C₄×D₄×C₁₃₉	—	2	4	no	—
180	C₄×D₄×C₁₃₉	—	2	8	no	—
181	C₄×D₄×C₁₃₉	—	2	8	no	—
182	C₄×D₄×C₁₃₉	—	4	2	no	—
183	C₄×D₄×C₁₃₉	—	4	4	no	—
184	#117×C₁₃₉	—	2	4	no	—
185	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
186	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
187	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
188	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
189	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
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	1	yes	characteristic
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	C₂³	1	1	yes	characteristic
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	2	yes	—
203	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
204	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
205	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
206	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
207	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
208	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
209	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
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	2	yes	—
213	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
214	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
215	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
216	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
217	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
218	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
219	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
220	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
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	1	yes	characteristic
226	C₂×C₄²×C₁₃₉	—	2	4	no	—
227	C₂×C₄²×C₁₃₉	—	4	2	no	—
228	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
229	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
230	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
231	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
232	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
233	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
234	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
235	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
236	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
237	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
238	#95×C₁₃₉	C₂³	1	2	yes	—
239	#95×C₁₃₉	C₂³	1	1	yes	characteristic
240	#95×C₁₃₉	C₂³	1	2	yes	—
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	1	yes	characteristic
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	1	yes	characteristic
249	#95×C₁₃₉	C₂³	1	1	yes	characteristic
250	#95×C₁₃₉	C₂³	1	1	yes	characteristic
251	#95×C₁₃₉	C₂³	1	1	yes	characteristic
252	#95×C₁₃₉	C₂³	1	1	yes	characteristic
253	#95×C₁₃₉	C₂³	1	1	yes	characteristic
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	#95×C₁₃₉	C₂³	1	2	yes	—
259	#95×C₁₃₉	C₂³	1	2	yes	—
260	#95×C₁₃₉	C₂³	1	2	yes	—
261	C₂⁴×C₁₃₉	—	2	2	no	—
262	C₂⁴×C₁₃₉	—	2	2	no	—
263	C₂⁴×C₁₃₉	—	2	2	no	—
264	C₂⁴×C₁₃₉	—	2	2	no	—
265	C₂⁴×C₁₃₉	—	2	2	no	—
266	C₂⁴×C₁₃₉	—	4	1	no	—
267	C₂⁴×C₁₃₉	—	4	1	no	—
268	C₂⁴×C₁₃₉	C₂⁴	1	2	yes	—
269	C₂⁴×C₁₃₉	C₂⁴	1	2	yes	—
270	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
271	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
272	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
273	#41×C₁₃₉	—	4	32	no	—
274	#41×C₁₃₉	—	4	16	no	—
275	C₂×Q₈×C₁₃₉	—	2	2	no	—
276	C₂×Q₈×C₁₃₉	—	2	4	no	—
277	C₂×Q₈×C₁₃₉	—	2	4	no	—
278	C₂×Q₈×C₁₃₉	—	2	2	no	—
279	C₂×Q₈×C₁₃₉	—	2	2	no	—
280	C₂×Q₈×C₁₃₉	—	4	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	4	no	—
287	C₂×D₄×C₁₃₉	—	2	4	no	—
288	C₂×D₄×C₁₃₉	—	2	4	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	—	2	4	no	—
293	C₂×D₄×C₁₃₉	—	2	4	no	—
294	C₂×D₄×C₁₃₉	—	2	2	no	—
295	C₂×D₄×C₁₃₉	—	2	2	no	—
296	C₂×D₄×C₁₃₉	—	2	4	no	—
297	C₂×D₄×C₁₃₉	—	2	2	no	—
298	C₂×D₄×C₁₃₉	—	2	4	no	—
299	C₂×D₄×C₁₃₉	—	2	2	no	—
300	C₂×D₄×C₁₃₉	—	2	2	no	—
301	C₂×D₄×C₁₃₉	—	4	2	no	—
302	C₂×D₄×C₁₃₉	—	4	2	no	—
303	C₂×D₄×C₁₃₉	—	4	2	no	—
304	C₂×D₄×C₁₃₉	—	4	2	no	—
305	C₂×D₄×C₁₃₉	—	4	2	no	—
306	C₂×D₄×C₁₃₉	—	4	2	no	—
307	C₂×D₄×C₁₃₉	—	4	2	no	—
308	C₂×D₄×C₁₃₉	—	4	2	no	—
309	C₂×D₄×C₁₃₉	C₂×D₄	1	8	yes	—
310	C₂×D₄×C₁₃₉	C₂×D₄	1	4	yes	—
311	C₂²×C₄×C₁₃₉	—	2	2	no	—
312	C₂²×C₄×C₁₃₉	—	2	2	no	—
313	C₂²×C₄×C₁₃₉	—	2	2	no	—
314	C₂²×C₄×C₁₃₉	—	2	2	no	—
315	C₂²×C₄×C₁₃₉	—	2	2	no	—
316	C₂²×C₄×C₁₃₉	—	2	2	no	—
317	C₂²×C₄×C₁₃₉	—	2	2	no	—
318	C₂²×C₄×C₁₃₉	—	2	2	no	—
319	C₂²×C₄×C₁₃₉	—	2	4	no	—
320	C₂²×C₄×C₁₃₉	—	2	4	no	—
321	C₂²×C₄×C₁₃₉	—	2	2	no	—
322	C₂²×C₄×C₁₃₉	—	2	2	no	—
323	C₂²×C₄×C₁₃₉	—	2	2	no	—
324	C₂²×C₄×C₁₃₉	—	2	2	no	—
325	C₂²×C₄×C₁₃₉	—	2	4	no	—
326	C₂²×C₄×C₁₃₉	—	2	2	no	—
327	C₂²×C₄×C₁₃₉	—	2	2	no	—
328	C₂²×C₄×C₁₃₉	—	2	2	no	—
329	C₂²×C₄×C₁₃₉	—	2	2	no	—
330	C₂²×C₄×C₁₃₉	—	2	2	no	—
331	C₂²×C₄×C₁₃₉	—	2	2	no	—
332	C₂²×C₄×C₁₃₉	—	2	2	no	—
333	C₂²×C₄×C₁₃₉	—	2	4	no	—
334	C₂²×C₄×C₁₃₉	—	2	4	no	—
335	C₂²×C₄×C₁₃₉	—	2	4	no	—
336	C₂²×C₄×C₁₃₉	—	2	2	no	—
337	C₂²×C₄×C₁₃₉	—	2	4	no	—
338	C₂²×C₄×C₁₃₉	—	4	1	no	—
339	C₂²×C₄×C₁₃₉	—	4	1	no	—
340	C₂²×C₄×C₁₃₉	—	4	1	no	—
341	C₂²×C₄×C₁₃₉	—	4	1	no	—
342	C₂²×C₄×C₁₃₉	—	4	1	no	—
343	C₂²×C₄×C₁₃₉	—	4	1	no	—
344	C₂²×C₄×C₁₃₉	—	4	1	no	—
345	C₂²×C₄×C₁₃₉	—	4	2	no	—
346	C₂²×C₄×C₁₃₉	—	4	2	no	—
347	C₂²×C₄×C₁₃₉	—	4	2	no	—
348	C₂²×C₄×C₁₃₉	—	4	16	no	—
349	C₂²×C₄×C₁₃₉	—	4	2	no	—
350	C₂²×C₄×C₁₃₉	—	4	2	no	—
351	C₂²×C₄×C₁₃₉	C₂×D₄	1	4	yes	—
352	C₂²×C₄×C₁₃₉	#41	1	4	yes	complemented
353	C₂²×C₄×C₁₃₉	#41	1	4	yes	complemented
354	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
355	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
356	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
357	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
358	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
359	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
360	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
361	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
362	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
363	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
364	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
365	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
366	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
367	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
368	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
369	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
370	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
371	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
372	C₄⋊C₄×C₁₃₉	—	2	2	no	—
373	C₄⋊C₄×C₁₃₉	—	2	4	no	—
374	C₄⋊C₄×C₁₃₉	—	2	2	no	—
375	C₄⋊C₄×C₁₃₉	—	2	4	no	—
376	C₄⋊C₄×C₁₃₉	—	2	4	no	—
377	C₄⋊C₄×C₁₃₉	—	2	2	no	—
378	C₄⋊C₄×C₁₃₉	—	2	4	no	—
379	C₄⋊C₄×C₁₃₉	—	2	2	no	—
380	C₄⋊C₄×C₁₃₉	—	4	2	no	—
381	C₄⋊C₄×C₁₃₉	—	4	2	no	—
382	C₄⋊C₄×C₁₃₉	C₂×D₄	1	4	yes	—
383	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
384	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
385	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
386	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
387	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
388	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
389	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
390	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
391	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
392	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
393	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
394	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
395	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
396	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
397	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
398	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
399	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
400	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
401	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
402	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
403	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
404	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
405	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
406	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
407	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
408	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
409	C₂²⋊C₄×C₁₃₉	C₂×D₄	1	8	yes	—
410	C₂²⋊C₄×C₁₃₉	#41	1	4	yes	complemented
411	C₄²×C₁₃₉	—	2	2	no	—
412	C₄²×C₁₃₉	—	2	2	no	—
413	C₄²×C₁₃₉	—	2	2	no	—
414	C₄²×C₁₃₉	—	2	2	no	—
415	C₄²×C₁₃₉	—	2	4	no	—
416	C₄²×C₁₃₉	—	2	2	no	—
417	C₄²×C₁₃₉	—	2	2	no	—
418	C₄²×C₁₃₉	—	4	1	no	—
419	C₄²×C₁₃₉	—	4	1	no	—
420	C₄²×C₁₃₉	—	4	2	no	—
421	C₂³×C₁₃₉	—	2	1	no	—
422	C₂³×C₁₃₉	—	2	1	no	—
423	C₂³×C₁₃₉	—	2	1	no	—
424	C₂³×C₁₃₉	—	2	1	no	—
425	C₂³×C₁₃₉	—	2	8	no	—
426	C₂³×C₁₃₉	—	2	1	no	—
427	C₂³×C₁₃₉	—	2	1	no	—
428	C₂³×C₁₃₉	—	2	1	no	—
429	C₂³×C₁₃₉	—	2	1	no	—
430	C₂³×C₁₃₉	—	2	1	no	—
431	C₂³×C₁₃₉	—	2	1	no	—
432	C₂³×C₁₃₉	—	2	2	no	—
433	C₂³×C₁₃₉	—	2	2	no	—
434	C₂³×C₁₃₉	—	2	2	no	—
435	C₂³×C₁₃₉	—	2	1	no	—
436	C₂³×C₁₃₉	—	2	1	no	—
437	C₂³×C₁₃₉	—	2	2	no	—
438	C₂³×C₁₃₉	—	2	2	no	—
439	C₂³×C₁₃₉	—	2	1	no	—
440	C₂³×C₁₃₉	—	2	1	no	—
441	C₂³×C₁₃₉	—	2	2	no	—
442	C₂³×C₁₃₉	—	2	1	no	—
443	C₂³×C₁₃₉	—	2	1	no	—
444	C₂³×C₁₃₉	—	2	2	no	—
445	C₂³×C₁₃₉	—	2	2	no	—
446	C₂³×C₁₃₉	—	2	2	no	—
447	C₂³×C₁₃₉	—	2	2	no	—
448	C₂³×C₁₃₉	—	2	2	no	—
449	C₂³×C₁₃₉	—	2	2	no	—
450	C₂³×C₁₃₉	—	2	2	no	—
451	C₂³×C₁₃₉	—	4	4	no	—
452	C₂³×C₁₃₉	—	4	4	no	—
453	C₂³×C₁₃₉	—	4	4	no	—
454	C₂³×C₁₃₉	—	4	4	no	—
455	C₂³×C₁₃₉	—	4	4	no	—
456	C₂³×C₁₃₉	—	4	4	no	—
457	C₂³×C₁₃₉	C₂²×D₄	1	4	yes	—
458	C₂³×C₁₃₉	C₂²×D₄	1	2	yes	—
459	C₂³×C₁₃₉	C₂×#41	1	2	yes	—
460	C₂³×C₁₃₉	C₂×#41	1	2	yes	—
461	C₂³×C₁₃₉	C₂×#41	1	2	yes	—
462	C₂³×C₁₃₉	H(5,𝔽₂)	1	2	yes	—
463	C₂³×C₁₃₉	C₂⁵	1	1	yes	characteristic
464	Q₈×C₁₃₉	—	4	8	no	—
465	Q₈×C₁₃₉	—	4	4	no	—
466	D₄×C₁₃₉	—	2	16	no	—
467	D₄×C₁₃₉	—	2	8	no	—
468	D₄×C₁₃₉	—	4	8	no	—
469	D₄×C₁₃₉	—	4	8	no	—
470	D₄×C₁₃₉	—	4	8	no	—
471	D₄×C₁₃₉	—	4	8	no	—
472	D₄×C₁₃₉	—	4	8	no	—
473	D₄×C₁₃₉	—	4	4	no	—
474	D₄×C₁₃₉	—	8	4	no	—
475	D₄×C₁₃₉	—	8	4	no	—
476	C₂×C₄×C₁₃₉	—	2	8	no	—
477	C₂×C₄×C₁₃₉	—	2	1	no	—
478	C₂×C₄×C₁₃₉	—	2	1	no	—
479	C₂×C₄×C₁₃₉	—	2	1	no	—
480	C₂×C₄×C₁₃₉	—	2	1	no	—
481	C₂×C₄×C₁₃₉	—	2	1	no	—
482	C₂×C₄×C₁₃₉	—	2	2	no	—
483	C₂×C₄×C₁₃₉	—	2	1	no	—
484	C₂×C₄×C₁₃₉	—	2	1	no	—
485	C₂×C₄×C₁₃₉	—	2	1	no	—
486	C₂×C₄×C₁₃₉	—	2	2	no	—
487	C₂×C₄×C₁₃₉	—	2	1	no	—
488	C₂×C₄×C₁₃₉	—	2	1	no	—
489	C₂×C₄×C₁₃₉	—	2	1	no	—
490	C₂×C₄×C₁₃₉	—	2	1	no	—
491	C₂×C₄×C₁₃₉	—	2	8	no	—
492	C₂×C₄×C₁₃₉	—	2	8	no	—
493	C₂×C₄×C₁₃₉	—	2	1	no	—
494	C₂×C₄×C₁₃₉	—	2	2	no	—
495	C₂×C₄×C₁₃₉	—	2	1	no	—
496	C₂×C₄×C₁₃₉	—	2	2	no	—
497	C₂×C₄×C₁₃₉	—	2	2	no	—
498	C₂×C₄×C₁₃₉	—	2	1	no	—
499	C₂×C₄×C₁₃₉	—	2	1	no	—
500	C₂×C₄×C₁₃₉	—	2	1	no	—
501	C₂×C₄×C₁₃₉	—	2	1	no	—
502	C₂×C₄×C₁₃₉	—	2	2	no	—
503	C₂×C₄×C₁₃₉	—	2	2	no	—
504	C₂×C₄×C₁₃₉	—	2	2	no	—
505	C₂×C₄×C₁₃₉	—	2	1	no	—
506	C₂×C₄×C₁₃₉	—	2	2	no	—
507	C₂×C₄×C₁₃₉	—	2	2	no	—
508	C₂×C₄×C₁₃₉	—	2	1	no	—
509	C₂×C₄×C₁₃₉	—	2	1	no	—
510	C₂×C₄×C₁₃₉	—	2	1	no	—
511	C₂×C₄×C₁₃₉	—	2	2	no	—
512	C₂×C₄×C₁₃₉	—	2	2	no	—
513	C₂×C₄×C₁₃₉	—	2	2	no	—
514	C₂×C₄×C₁₃₉	—	2	1	no	—
515	C₂×C₄×C₁₃₉	—	2	1	no	—
516	C₂×C₄×C₁₃₉	—	2	2	no	—
517	C₂×C₄×C₁₃₉	—	2	2	no	—
518	C₂×C₄×C₁₃₉	—	2	1	no	—
519	C₂×C₄×C₁₃₉	—	2	1	no	—
520	C₂×C₄×C₁₃₉	—	2	2	no	—
521	C₂×C₄×C₁₃₉	—	2	2	no	—
522	C₂×C₄×C₁₃₉	—	2	1	no	—
523	C₂×C₄×C₁₃₉	—	4	4	no	—
524	C₂×C₄×C₁₃₉	—	4	8	no	—
525	C₂×C₄×C₁₃₉	—	4	4	no	—
526	C₂×C₄×C₁₃₉	—	4	4	no	—
527	C₂×C₄×C₁₃₉	—	4	4	no	—
528	C₂×C₄×C₁₃₉	—	4	4	no	—
529	C₂×C₄×C₁₃₉	—	4	8	no	—
530	C₂×C₄×C₁₃₉	—	4	8	no	—
531	C₂×C₄×C₁₃₉	—	4	4	no	—
532	C₂×C₄×C₁₃₉	—	4	4	no	—
533	C₂×C₄×C₁₃₉	—	8	4	no	—
534	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
535	C₂×C₄×C₁₃₉	C₂²×D₄	1	4	yes	—
536	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
537	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
538	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
539	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
540	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
541	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
542	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
543	C₂×C₄×C₁₃₉	H(5,𝔽₂)	1	2	yes	—
544	C₂²×C₁₃₉	—	2	2	no	—
545	C₂²×C₁₃₉	—	2	2	no	—
546	C₂²×C₁₃₉	—	2	2	no	—
547	C₂²×C₁₃₉	—	2	2	no	—
548	C₂²×C₁₃₉	—	2	2	no	—
549	C₂²×C₁₃₉	—	2	2	no	—
550	C₂²×C₁₃₉	—	2	2	no	—
551	C₂²×C₁₃₉	—	2	2	no	—
552	C₂²×C₁₃₉	—	2	2	no	—
553	C₂²×C₁₃₉	—	2	4	no	—
554	C₂²×C₁₃₉	—	2	4	no	—
555	C₂²×C₁₃₉	—	2	2	no	—
556	C₂²×C₁₃₉	—	2	4	no	—
557	C₂²×C₁₃₉	—	2	2	no	—
558	C₂²×C₁₃₉	—	2	2	no	—
559	C₂²×C₁₃₉	—	4	16	no	—
560	C₂²×C₁₃₉	—	4	2	no	—
561	C₂²×C₁₃₉	—	4	1	no	—
562	C₂²×C₁₃₉	—	4	1	no	—
563	C₂²×C₁₃₉	—	4	1	no	—
564	C₂²×C₁₃₉	—	4	1	no	—
565	C₂²×C₁₃₉	—	4	2	no	—
566	C₂²×C₁₃₉	—	4	1	no	—
567	C₂²×C₁₃₉	—	4	2	no	—
568	C₂²×C₁₃₉	—	4	1	no	—
569	C₂²×C₁₃₉	—	4	1	no	—
570	C₂²×C₁₃₉	—	4	2	no	—
571	C₂²×C₁₃₉	—	4	1	no	—
572	C₂²×C₁₃₉	—	4	2	no	—
573	C₂²×C₁₃₉	—	4	2	no	—
574	C₂²×C₁₃₉	—	4	2	no	—
575	C₂²×C₁₃₉	—	4	2	no	—
576	C₂²×C₁₃₉	—	4	2	no	—
577	C₂²×C₁₃₉	—	4	2	no	—
578	C₂²×C₁₃₉	—	4	2	no	—
579	C₂²×C₁₃₉	#546	1	4	yes	—
580	C₂²×C₁₃₉	C₂³×D₄	1	1	yes	characteristic
581	C₂²×C₁₃₉	C₂²×#41	1	1	yes	characteristic
582	C₂²×C₁₃₉	C₂²×#41	1	1	yes	characteristic
583	C₂²×C₁₃₉	C₂²×#41	1	1	yes	characteristic
584	C₂²×C₁₃₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
585	C₂²×C₁₃₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
586	C₂²×C₁₃₉	#585	1	1	yes	characteristic
587	C₄×C₁₃₉	—	2	2	no	—
588	C₄×C₁₃₉	—	2	2	no	—
589	C₄×C₁₃₉	—	2	2	no	—
590	C₄×C₁₃₉	—	2	2	no	—
591	C₄×C₁₃₉	—	2	4	no	—
592	C₄×C₁₃₉	—	2	2	no	—
593	C₄×C₁₃₉	—	2	2	no	—
594	C₄×C₁₃₉	—	4	1	no	—
595	C₄×C₁₃₉	—	4	2	no	—
596	C₄×C₁₃₉	—	4	2	no	—
597	C₄×C₁₃₉	—	4	1	no	—
598	C₄×C₁₃₉	—	4	2	no	—
599	C₄×C₁₃₉	—	4	2	no	—
600	C₄×C₁₃₉	—	4	1	no	—
601	C₄×C₁₃₉	—	4	1	no	—
602	C₄×C₁₃₉	—	4	1	no	—
603	C₄×C₁₃₉	—	4	2	no	—
604	C₄×C₁₃₉	#546	1	4	yes	—
605	C₂×C₁₃₉	—	2	4	no	—
606	C₂×C₁₃₉	—	4	4	no	—
607	C₂×C₁₃₉	—	4	2	no	—
608	C₂×C₁₃₉	—	4	2	no	—
609	C₂×C₁₃₉	—	8	2	no	—
610	C₂×C₁₃₉	#3444	1	1	yes	characteristic
611	C₂×C₁₃₉	C₂×#546	1	1	yes	characteristic
612	C₂×C₁₃₉	C₂×#546	1	1	yes	characteristic
613	C₂×C₁₃₉	D₄×#41	1	1	yes	characteristic
614	C₂×C₁₃₉	#3494	1	1	yes	characteristic
615	C₂×C₁₃₉	#3506	1	1	yes	characteristic
616	C₂×C₁₃₉	#3519	1	1	yes	characteristic
617	#36147	C₁₃₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
618	C₁₃₉	#36147	1	1	yes	characteristic, direct product factor, Sylow
619	C₂×#532	C₂×C₁₃₉	1	1	yes	characteristic, complemented
620	C₂×#525	C₂×C₁₃₉	1	1	yes	characteristic, complemented
621	#2855	C₂×C₁₃₉	1	1	yes	characteristic, complemented
622	#2850	C₂×C₁₃₉	1	1	yes	characteristic, complemented
623	#2847	C₂×C₁₃₉	1	1	yes	characteristic, complemented
624	#2557	C₂×C₁₃₉	1	2	yes	complemented
625	#2492	C₂×C₁₃₉	1	1	yes	characteristic, complemented
626	#2459	C₂×C₁₃₉	1	2	yes	complemented
627	#2457	C₂×C₁₃₉	1	2	yes	complemented
628	#2444	C₂×C₁₃₉	1	2	yes	complemented
629	#2439	C₂×C₁₃₉	1	1	yes	characteristic, complemented
630	#2431	C₂×C₁₃₉	1	1	yes	characteristic, complemented
631	#2428	C₂×C₁₃₉	1	1	yes	characteristic, complemented
632	#2427	C₂×C₁₃₉	1	1	yes	characteristic, complemented
633	#2424	C₂×C₁₃₉	1	2	yes	complemented
634	#2420	C₂×C₁₃₉	1	1	yes	characteristic, complemented
635	#2404	C₂×C₁₃₉	1	2	yes	complemented
636	#2364	C₂×C₁₃₉	1	2	yes	complemented
637	#2363	C₂×C₁₃₉	1	1	yes	characteristic, complemented
638	#2339	C₂×C₁₃₉	1	2	yes	complemented
639	#2339	C₂×C₁₃₉	1	1	yes	characteristic, complemented
640	C₄×#121	C₂×C₁₃₉	1	1	yes	characteristic, complemented
641	C₂×C₄×C₂²⋊C₄	C₂×C₁₃₉	1	1	yes	characteristic, complemented
642	C₂²×#41	C₂²×C₁₃₉	1	2	yes	—
643	C₂²×#41	C₂²×C₁₃₉	1	1	yes	characteristic
644	C₂⁴×C₄	C₂²×C₁₃₉	1	1	yes	characteristic
645	#532	—	2	8	no	—
646	C₂×C₄⋊Q₈	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
647	C₂×#127	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
648	C₂×#124	C₂²×C₁₃₉	1	2	yes	complemented
649	C₂×#124	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
650	#525	—	2	8	no	—
651	C₂×#123	C₂²×C₁₃₉	1	2	yes	—
652	C₂×C₂²⋊Q₈	C₂²×C₁₃₉	1	1	yes	characteristic
653	C₂×C₂²⋊Q₈	C₂²×C₁₃₉	1	1	yes	characteristic
654	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic
655	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic
656	C₂×#121	C₂²×C₁₃₉	1	2	yes	—
657	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic
658	C₂×#121	C₂²×C₁₃₉	1	2	yes	—
659	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic
660	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic
661	C₂×#120	C₂²×C₁₃₉	1	2	yes	—
662	C₂×#120	C₂²×C₁₃₉	1	2	yes	—
663	C₂×C₄×D₄	C₂²×C₁₃₉	1	2	yes	—
664	C₂×C₄×D₄	C₂²×C₁₃₉	1	2	yes	—
665	C₂×C₄×D₄	C₂²×C₁₃₉	1	2	yes	—
666	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
667	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
668	C₂×C₄×D₄	C₂²×C₁₃₉	1	2	yes	complemented
669	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
670	C₂×#117	C₂²×C₁₃₉	1	1	yes	characteristic
671	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
672	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
673	C₂²×C₄²	C₂²×C₁₃₉	1	1	yes	characteristic
674	C₂²×C₄²	C₂²×C₁₃₉	1	1	yes	characteristic
675	#400	C₂²×C₁₃₉	1	2	yes	complemented
676	#397	C₂²×C₁₃₉	1	2	yes	complemented
677	#397	C₂²×C₁₃₉	1	2	yes	complemented
678	#396	C₂²×C₁₃₉	1	2	yes	—
679	#394	C₂²×C₁₃₉	1	2	yes	—
680	#394	C₂²×C₁₃₉	1	2	yes	—
681	#394	C₂²×C₁₃₉	1	2	yes	complemented
682	#393	C₂²×C₁₃₉	1	2	yes	—
683	#393	C₂²×C₁₃₉	1	2	yes	—
684	#392	C₂²×C₁₃₉	1	2	yes	—
685	#392	C₂²×C₁₃₉	1	2	yes	—
686	#392	C₂²×C₁₃₉	1	2	yes	—
687	#391	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
688	#391	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
689	#391	C₂²×C₁₃₉	1	2	yes	complemented
690	#391	C₂²×C₁₃₉	1	2	yes	complemented
691	#391	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
692	#390	C₂²×C₁₃₉	1	2	yes	—
693	#390	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
694	#390	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
695	#389	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
696	#389	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
697	#389	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
698	#388	C₂²×C₁₃₉	1	2	yes	—
699	#388	C₂²×C₁₃₉	1	2	yes	complemented
700	#388	C₂²×C₁₃₉	1	2	yes	complemented
701	#388	C₂²×C₁₃₉	1	2	yes	complemented
702	#388	C₂²×C₁₃₉	1	2	yes	complemented
703	#387	C₂²×C₁₃₉	1	2	yes	complemented
704	#387	C₂²×C₁₃₉	1	2	yes	complemented
705	#387	C₂²×C₁₃₉	1	2	yes	complemented
706	#386	C₂²×C₁₃₉	1	2	yes	—
707	#386	C₂²×C₁₃₉	1	2	yes	—
708	#386	C₂²×C₁₃₉	1	2	yes	—
709	#386	C₂²×C₁₃₉	1	2	yes	—
710	#386	C₂²×C₁₃₉	1	2	yes	—
711	#386	C₂²×C₁₃₉	1	2	yes	—
712	#386	C₂²×C₁₃₉	1	2	yes	—
713	#386	C₂²×C₁₃₉	1	2	yes	—
714	#386	C₂²×C₁₃₉	1	2	yes	—
715	#386	C₂²×C₁₃₉	1	2	yes	—
716	#386	C₂²×C₁₃₉	1	2	yes	—
717	#386	C₂²×C₁₃₉	1	2	yes	complemented
718	#386	C₂²×C₁₃₉	1	2	yes	complemented
719	#386	C₂²×C₁₃₉	1	2	yes	complemented
720	#385	C₂²×C₁₃₉	1	2	yes	—
721	#382	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
722	#381	C₂²×C₁₃₉	1	2	yes	—
723	#381	C₂²×C₁₃₉	1	2	yes	complemented
724	#381	C₂²×C₁₃₉	1	2	yes	complemented
725	#380	C₂²×C₁₃₉	1	1	yes	characteristic
726	#380	C₂²×C₁₃₉	1	1	yes	characteristic
727	#380	C₂²×C₁₃₉	1	1	yes	characteristic
728	#380	C₂²×C₁₃₉	1	2	yes	complemented
729	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
730	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
731	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
732	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
733	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
734	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
735	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
736	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
737	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
738	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	complemented
739	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	complemented
740	C₂×#95	C₂²×C₁₃₉	1	1	yes	characteristic
741	C₂×#95	C₂²×C₁₃₉	1	1	yes	characteristic
742	C₂×#95	C₂²×C₁₃₉	1	2	yes	complemented
743	C₂⁵	C₂³×C₁₃₉	1	1	yes	characteristic
744	C₂×#41	—	2	4	no	—
745	C₂×#41	—	2	8	no	—
746	C₂×#41	—	2	8	no	—
747	C₂×#41	—	2	4	no	—
748	C₂×#41	—	4	4	no	—
749	C₂×#41	—	4	2	no	—
750	C₂²×Q₈	C₂³×C₁₃₉	1	1	yes	characteristic
751	C₂²×Q₈	C₂³×C₁₃₉	1	2	yes	—
752	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
753	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
754	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
755	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
756	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
757	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
758	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
759	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
760	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
761	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
762	C₂³×C₄	—	2	4	no	—
763	C₂³×C₄	—	2	4	no	—
764	C₂³×C₄	—	4	2	no	—
765	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
766	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
767	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
768	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
769	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
770	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
771	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
772	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
773	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
774	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
775	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
776	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
777	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
778	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
779	C₄⋊Q₈	—	2	4	no	—
780	#127	—	2	4	no	—
781	#124	—	2	8	no	—
782	#124	—	4	2	no	—
783	#123	—	2	8	no	—
784	C₂²⋊Q₈	—	2	4	no	—
785	C₂²⋊Q₈	—	2	4	no	—
786	#121	—	2	4	no	—
787	#121	—	2	8	no	—
788	#121	—	2	4	no	—
789	#121	—	2	4	no	—
790	#121	—	2	8	no	—
791	#121	—	4	2	no	—
792	#121	D₄×C₁₃₉	1	8	yes	complemented
793	#120	—	2	8	no	—
794	#120	—	4	4	no	—
795	C₄×D₄	—	2	8	no	—
796	C₄×D₄	—	2	4	no	—
797	C₄×D₄	—	2	4	no	—
798	C₄×D₄	—	2	8	no	—
799	C₄×D₄	—	2	8	no	—
800	C₄×D₄	—	4	2	no	—
801	C₄×D₄	—	4	4	no	—
802	#117	—	2	4	no	—
803	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
804	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
805	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
806	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
807	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
808	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
809	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
810	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
811	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
812	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
813	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
814	C₂×C₂²⋊C₄	—	2	4	no	—
815	C₂×C₂²⋊C₄	—	2	4	no	—
816	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
817	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
818	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
819	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
820	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
821	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
822	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
823	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
824	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
825	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
826	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
827	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
828	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
829	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
830	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
831	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
832	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
833	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
834	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
835	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
836	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
837	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
838	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
839	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
840	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
841	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
842	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
843	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
844	C₂×C₄²	—	2	4	no	—
845	C₂×C₄²	—	4	2	no	—
846	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
847	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
848	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
849	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
850	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
851	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
852	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
853	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
854	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
855	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
856	#95	C₂³×C₁₃₉	1	1	yes	characteristic
857	#95	C₂³×C₁₃₉	1	1	yes	characteristic
858	#95	C₂³×C₁₃₉	1	1	yes	characteristic
859	#95	C₂³×C₁₃₉	1	1	yes	characteristic
860	#95	C₂³×C₁₃₉	1	1	yes	characteristic
861	#95	C₂³×C₁₃₉	1	1	yes	characteristic
862	#95	C₂³×C₁₃₉	1	1	yes	characteristic
863	#95	C₂³×C₁₃₉	1	1	yes	characteristic
864	#95	C₂³×C₁₃₉	1	2	yes	—
865	#95	C₂³×C₁₃₉	1	2	yes	—
866	#95	C₂³×C₁₃₉	1	2	yes	—
867	#95	C₂³×C₁₃₉	1	2	yes	—
868	#95	C₂³×C₁₃₉	1	2	yes	—
869	#95	C₂³×C₁₃₉	1	2	yes	—
870	#95	C₂³×C₁₃₉	1	2	yes	—
871	#95	C₂³×C₁₃₉	1	2	yes	—
872	#95	C₂³×C₁₃₉	1	2	yes	—
873	#95	C₂³×C₁₃₉	1	2	yes	—
874	#95	C₂³×C₁₃₉	1	2	yes	—
875	#95	C₂³×C₁₃₉	1	2	yes	—
876	#95	C₂³×C₁₃₉	1	2	yes	—
877	#95	C₂³×C₁₃₉	1	2	yes	—
878	#95	C₂³×C₁₃₉	1	2	yes	—
879	C₂⁴	—	2	2	no	—
880	C₂⁴	—	2	2	no	—
881	C₂⁴	—	2	2	no	—
882	C₂⁴	—	2	2	no	—
883	C₂⁴	—	2	2	no	—
884	C₂⁴	—	4	1	no	—
885	C₂⁴	—	4	1	no	—
886	C₂⁴	C₂⁴×C₁₃₉	1	2	yes	—
887	C₂⁴	C₂⁴×C₁₃₉	1	2	yes	—
888	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
889	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
890	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
891	#41	—	4	32	no	—
892	#41	—	4	16	no	—
893	C₂×Q₈	—	2	2	no	—
894	C₂×Q₈	—	2	4	no	—
895	C₂×Q₈	—	2	4	no	—
896	C₂×Q₈	—	2	2	no	—
897	C₂×Q₈	—	2	2	no	—
898	C₂×Q₈	—	4	2	no	—
899	C₂×D₄	—	2	4	no	—
900	C₂×D₄	—	2	4	no	—
901	C₂×D₄	—	2	4	no	—
902	C₂×D₄	—	2	4	no	—
903	C₂×D₄	—	2	4	no	—
904	C₂×D₄	—	2	4	no	—
905	C₂×D₄	—	2	4	no	—
906	C₂×D₄	—	2	4	no	—
907	C₂×D₄	—	2	4	no	—
908	C₂×D₄	—	2	4	no	—
909	C₂×D₄	—	2	4	no	—
910	C₂×D₄	—	2	4	no	—
911	C₂×D₄	—	2	4	no	—
912	C₂×D₄	—	2	2	no	—
913	C₂×D₄	—	2	2	no	—
914	C₂×D₄	—	2	4	no	—
915	C₂×D₄	—	2	2	no	—
916	C₂×D₄	—	2	4	no	—
917	C₂×D₄	—	2	2	no	—
918	C₂×D₄	—	2	2	no	—
919	C₂×D₄	—	4	2	no	—
920	C₂×D₄	—	4	2	no	—
921	C₂×D₄	—	4	2	no	—
922	C₂×D₄	—	4	2	no	—
923	C₂×D₄	—	4	2	no	—
924	C₂×D₄	—	4	2	no	—
925	C₂×D₄	—	4	2	no	—
926	C₂×D₄	—	4	2	no	—
927	C₂×D₄	C₂×D₄×C₁₃₉	1	8	yes	—
928	C₂×D₄	C₂×D₄×C₁₃₉	1	4	yes	—
929	C₂²×C₄	—	2	2	no	—
930	C₂²×C₄	—	2	2	no	—
931	C₂²×C₄	—	2	2	no	—
932	C₂²×C₄	—	2	2	no	—
933	C₂²×C₄	—	2	2	no	—
934	C₂²×C₄	—	2	2	no	—
935	C₂²×C₄	—	2	2	no	—
936	C₂²×C₄	—	2	2	no	—
937	C₂²×C₄	—	2	4	no	—
938	C₂²×C₄	—	2	4	no	—
939	C₂²×C₄	—	2	2	no	—
940	C₂²×C₄	—	2	2	no	—
941	C₂²×C₄	—	2	2	no	—
942	C₂²×C₄	—	2	2	no	—
943	C₂²×C₄	—	2	4	no	—
944	C₂²×C₄	—	2	2	no	—
945	C₂²×C₄	—	2	2	no	—
946	C₂²×C₄	—	2	2	no	—
947	C₂²×C₄	—	2	2	no	—
948	C₂²×C₄	—	2	2	no	—
949	C₂²×C₄	—	2	2	no	—
950	C₂²×C₄	—	2	2	no	—
951	C₂²×C₄	—	2	4	no	—
952	C₂²×C₄	—	2	4	no	—
953	C₂²×C₄	—	2	4	no	—
954	C₂²×C₄	—	2	2	no	—
955	C₂²×C₄	—	2	4	no	—
956	C₂²×C₄	—	4	1	no	—
957	C₂²×C₄	—	4	1	no	—
958	C₂²×C₄	—	4	1	no	—
959	C₂²×C₄	—	4	1	no	—
960	C₂²×C₄	—	4	1	no	—
961	C₂²×C₄	—	4	1	no	—
962	C₂²×C₄	—	4	1	no	—
963	C₂²×C₄	—	4	2	no	—
964	C₂²×C₄	—	4	2	no	—
965	C₂²×C₄	—	4	2	no	—
966	C₂²×C₄	—	4	16	no	—
967	C₂²×C₄	—	4	2	no	—
968	C₂²×C₄	—	4	2	no	—
969	C₂²×C₄	C₂×D₄×C₁₃₉	1	4	yes	—
970	C₂²×C₄	#41×C₁₃₉	1	4	yes	complemented
971	C₂²×C₄	#41×C₁₃₉	1	4	yes	complemented
972	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
973	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
974	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
975	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
976	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
977	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
978	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
979	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
980	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
981	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
982	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
983	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
984	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
985	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
986	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
987	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
988	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
989	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
990	C₄⋊C₄	—	2	2	no	—
991	C₄⋊C₄	—	2	4	no	—
992	C₄⋊C₄	—	2	2	no	—
993	C₄⋊C₄	—	2	4	no	—
994	C₄⋊C₄	—	2	4	no	—
995	C₄⋊C₄	—	2	2	no	—
996	C₄⋊C₄	—	2	4	no	—
997	C₄⋊C₄	—	2	2	no	—
998	C₄⋊C₄	—	4	2	no	—
999	C₄⋊C₄	—	4	2	no	—
1000	C₄⋊C₄	C₂×D₄×C₁₃₉	1	4	yes	—
1001	C₂²⋊C₄	—	2	4	no	—
1002	C₂²⋊C₄	—	2	4	no	—
1003	C₂²⋊C₄	—	2	4	no	—
1004	C₂²⋊C₄	—	2	2	no	—
1005	C₂²⋊C₄	—	2	4	no	—
1006	C₂²⋊C₄	—	2	4	no	—
1007	C₂²⋊C₄	—	2	4	no	—
1008	C₂²⋊C₄	—	2	4	no	—
1009	C₂²⋊C₄	—	2	4	no	—
1010	C₂²⋊C₄	—	2	2	no	—
1011	C₂²⋊C₄	—	2	2	no	—
1012	C₂²⋊C₄	—	2	2	no	—
1013	C₂²⋊C₄	—	2	2	no	—
1014	C₂²⋊C₄	—	2	2	no	—
1015	C₂²⋊C₄	—	2	2	no	—
1016	C₂²⋊C₄	—	2	4	no	—
1017	C₂²⋊C₄	—	2	4	no	—
1018	C₂²⋊C₄	—	4	2	no	—
1019	C₂²⋊C₄	—	4	2	no	—
1020	C₂²⋊C₄	—	4	2	no	—
1021	C₂²⋊C₄	—	4	2	no	—
1022	C₂²⋊C₄	—	4	2	no	—
1023	C₂²⋊C₄	—	4	2	no	—
1024	C₂²⋊C₄	—	4	2	no	—
1025	C₂²⋊C₄	—	4	2	no	—
1026	C₂²⋊C₄	—	4	2	no	—
1027	C₂²⋊C₄	C₂×D₄×C₁₃₉	1	8	yes	—
1028	C₂²⋊C₄	#41×C₁₃₉	1	4	yes	complemented
1029	C₄²	—	2	2	no	—
1030	C₄²	—	2	2	no	—
1031	C₄²	—	2	2	no	—
1032	C₄²	—	2	2	no	—
1033	C₄²	—	2	4	no	—
1034	C₄²	—	2	2	no	—
1035	C₄²	—	2	2	no	—
1036	C₄²	—	4	1	no	—
1037	C₄²	—	4	1	no	—
1038	C₄²	—	4	2	no	—
1039	C₂³	—	2	1	no	—
1040	C₂³	—	2	1	no	—
1041	C₂³	—	2	1	no	—
1042	C₂³	—	2	1	no	—
1043	C₂³	—	2	8	no	—
1044	C₂³	—	2	1	no	—
1045	C₂³	—	2	1	no	—
1046	C₂³	—	2	1	no	—
1047	C₂³	—	2	1	no	—
1048	C₂³	—	2	1	no	—
1049	C₂³	—	2	1	no	—
1050	C₂³	—	2	2	no	—
1051	C₂³	—	2	2	no	—
1052	C₂³	—	2	2	no	—
1053	C₂³	—	2	1	no	—
1054	C₂³	—	2	1	no	—
1055	C₂³	—	2	2	no	—
1056	C₂³	—	2	2	no	—
1057	C₂³	—	2	1	no	—
1058	C₂³	—	2	1	no	—
1059	C₂³	—	2	2	no	—
1060	C₂³	—	2	1	no	—
1061	C₂³	—	2	1	no	—
1062	C₂³	—	2	2	no	—
1063	C₂³	—	2	2	no	—
1064	C₂³	—	2	2	no	—
1065	C₂³	—	2	2	no	—
1066	C₂³	—	2	2	no	—
1067	C₂³	—	2	2	no	—
1068	C₂³	—	2	2	no	—
1069	C₂³	—	4	4	no	—
1070	C₂³	—	4	4	no	—
1071	C₂³	—	4	4	no	—
1072	C₂³	—	4	4	no	—
1073	C₂³	—	4	4	no	—
1074	C₂³	—	4	4	no	—
1075	C₂³	C₂²×D₄×C₁₃₉	1	4	yes	—
1076	C₂³	C₂²×D₄×C₁₃₉	1	2	yes	—
1077	C₂³	C₂×#41×C₁₃₉	1	2	yes	—
1078	C₂³	C₂×#41×C₁₃₉	1	2	yes	—
1079	C₂³	C₂×#41×C₁₃₉	1	2	yes	—
1080	C₂³	H(5,𝔽₂)×C₁₃₉	1	2	yes	—
1081	C₂³	C₂⁵×C₁₃₉	1	1	yes	characteristic
1082	Q₈	—	4	8	no	—
1083	Q₈	—	4	4	no	—
1084	D₄	—	2	16	no	—
1085	D₄	—	2	8	no	—
1086	D₄	—	4	8	no	—
1087	D₄	—	4	8	no	—
1088	D₄	—	4	8	no	—
1089	D₄	—	4	8	no	—
1090	D₄	—	4	8	no	—
1091	D₄	—	4	4	no	—
1092	D₄	—	8	4	no	—
1093	D₄	—	8	4	no	—
1094	C₂×C₄	—	2	8	no	—
1095	C₂×C₄	—	2	1	no	—
1096	C₂×C₄	—	2	1	no	—
1097	C₂×C₄	—	2	1	no	—
1098	C₂×C₄	—	2	1	no	—
1099	C₂×C₄	—	2	1	no	—
1100	C₂×C₄	—	2	2	no	—
1101	C₂×C₄	—	2	1	no	—
1102	C₂×C₄	—	2	1	no	—
1103	C₂×C₄	—	2	1	no	—
1104	C₂×C₄	—	2	2	no	—
1105	C₂×C₄	—	2	1	no	—
1106	C₂×C₄	—	2	1	no	—
1107	C₂×C₄	—	2	1	no	—
1108	C₂×C₄	—	2	1	no	—
1109	C₂×C₄	—	2	8	no	—
1110	C₂×C₄	—	2	8	no	—
1111	C₂×C₄	—	2	1	no	—
1112	C₂×C₄	—	2	2	no	—
1113	C₂×C₄	—	2	1	no	—
1114	C₂×C₄	—	2	2	no	—
1115	C₂×C₄	—	2	2	no	—
1116	C₂×C₄	—	2	1	no	—
1117	C₂×C₄	—	2	1	no	—
1118	C₂×C₄	—	2	1	no	—
1119	C₂×C₄	—	2	1	no	—
1120	C₂×C₄	—	2	2	no	—
1121	C₂×C₄	—	2	2	no	—
1122	C₂×C₄	—	2	2	no	—
1123	C₂×C₄	—	2	1	no	—
1124	C₂×C₄	—	2	2	no	—
1125	C₂×C₄	—	2	2	no	—
1126	C₂×C₄	—	2	1	no	—
1127	C₂×C₄	—	2	1	no	—
1128	C₂×C₄	—	2	1	no	—
1129	C₂×C₄	—	2	2	no	—
1130	C₂×C₄	—	2	2	no	—
1131	C₂×C₄	—	2	2	no	—
1132	C₂×C₄	—	2	1	no	—
1133	C₂×C₄	—	2	1	no	—
1134	C₂×C₄	—	2	2	no	—
1135	C₂×C₄	—	2	2	no	—
1136	C₂×C₄	—	2	1	no	—
1137	C₂×C₄	—	2	1	no	—
1138	C₂×C₄	—	2	2	no	—
1139	C₂×C₄	—	2	2	no	—
1140	C₂×C₄	—	2	1	no	—
1141	C₂×C₄	—	4	4	no	—
1142	C₂×C₄	—	4	8	no	—
1143	C₂×C₄	—	4	4	no	—
1144	C₂×C₄	—	4	4	no	—
1145	C₂×C₄	—	4	8	no	—
1146	C₂×C₄	—	4	8	no	—
1147	C₂×C₄	—	4	4	no	—
1148	C₂×C₄	—	4	4	no	—
1149	C₂×C₄	—	4	4	no	—
1150	C₂×C₄	—	4	4	no	—
1151	C₂×C₄	—	8	4	no	—
1152	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
1153	C₂×C₄	C₂²×D₄×C₁₃₉	1	4	yes	—
1154	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
1155	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
1156	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
1157	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
1158	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
1159	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
1160	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
1161	C₂×C₄	H(5,𝔽₂)×C₁₃₉	1	2	yes	—
1162	C₂²	—	2	2	no	—
1163	C₂²	—	2	2	no	—
1164	C₂²	—	2	2	no	—
1165	C₂²	—	2	2	no	—
1166	C₂²	—	2	2	no	—
1167	C₂²	—	2	2	no	—
1168	C₂²	—	2	2	no	—
1169	C₂²	—	2	2	no	—
1170	C₂²	—	2	2	no	—
1171	C₂²	—	2	4	no	—
1172	C₂²	—	2	4	no	—
1173	C₂²	—	2	2	no	—
1174	C₂²	—	2	4	no	—
1175	C₂²	—	2	2	no	—
1176	C₂²	—	2	2	no	—
1177	C₂²	—	4	16	no	—
1178	C₂²	—	4	2	no	—
1179	C₂²	—	4	1	no	—
1180	C₂²	—	4	1	no	—
1181	C₂²	—	4	1	no	—
1182	C₂²	—	4	1	no	—
1183	C₂²	—	4	1	no	—
1184	C₂²	—	4	2	no	—
1185	C₂²	—	4	1	no	—
1186	C₂²	—	4	1	no	—
1187	C₂²	—	4	2	no	—
1188	C₂²	—	4	2	no	—
1189	C₂²	—	4	1	no	—
1190	C₂²	—	4	2	no	—
1191	C₂²	—	4	2	no	—
1192	C₂²	—	4	2	no	—
1193	C₂²	—	4	2	no	—
1194	C₂²	—	4	2	no	—
1195	C₂²	—	4	2	no	—
1196	C₂²	—	4	2	no	—
1197	C₂²	#546×C₁₃₉	1	4	yes	—
1198	C₂²	C₂³×D₄×C₁₃₉	1	1	yes	characteristic
1199	C₂²	C₂²×#41×C₁₃₉	1	1	yes	characteristic
1200	C₂²	C₂²×#41×C₁₃₉	1	1	yes	characteristic
1201	C₂²	C₂²×#41×C₁₃₉	1	1	yes	characteristic
1202	C₂²	C₂×H(5,𝔽₂)×C₁₃₉	1	1	yes	characteristic
1203	C₂²	C₂×H(5,𝔽₂)×C₁₃₉	1	1	yes	characteristic
1204	C₂²	#585×C₁₃₉	1	1	yes	characteristic
1205	C₄	—	2	2	no	—
1206	C₄	—	2	2	no	—
1207	C₄	—	2	2	no	—
1208	C₄	—	2	2	no	—
1209	C₄	—	2	4	no	—
1210	C₄	—	2	2	no	—
1211	C₄	—	2	2	no	—
1212	C₄	—	4	1	no	—
1213	C₄	—	4	2	no	—
1214	C₄	—	4	2	no	—
1215	C₄	—	4	1	no	—
1216	C₄	—	4	2	no	—
1217	C₄	—	4	2	no	—
1218	C₄	—	4	1	no	—
1219	C₄	—	4	1	no	—
1220	C₄	—	4	1	no	—
1221	C₄	—	4	2	no	—
1222	C₄	#546×C₁₃₉	1	4	yes	—
1223	C₂	—	2	4	no	—
1224	C₂	—	4	2	no	—
1225	C₂	—	4	2	no	—
1226	C₂	—	4	4	no	—
1227	C₂	—	8	2	no	—
1228	C₂	#3444×C₁₃₉	1	1	yes	characteristic
1229	C₂	C₂×#546×C₁₃₉	1	1	yes	characteristic
1230	C₂	C₂×#546×C₁₃₉	1	1	yes	characteristic
1231	C₂	D₄×#41×C₁₃₉	1	1	yes	characteristic
1232	C₂	#3494×C₁₃₉	1	1	yes	characteristic
1233	C₂	#3506×C₁₃₉	1	1	yes	characteristic
1234	C₂	#3519×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. C₂×#532×C₁₃₉	C₂	semidirect
2. C₂×#525×C₁₃₉	C₂	semidirect
3. #2855×C₁₃₉	C₂	semidirect
4. #2850×C₁₃₉	C₂	semidirect
5. #2847×C₁₃₉	C₂	semidirect
6. #2557×C₁₃₉	C₂	semidirect
7. #2492×C₁₃₉	C₂	semidirect
8. #2459×C₁₃₉	C₂	semidirect
9. #2457×C₁₃₉	C₂	semidirect
10. #2444×C₁₃₉	C₂	semidirect
11. #2439×C₁₃₉	C₂	semidirect
12. #2431×C₁₃₉	C₂	semidirect
13. #2428×C₁₃₉	C₂	semidirect
14. #2427×C₁₃₉	C₂	semidirect
15. #2424×C₁₃₉	C₂	semidirect
16. #2420×C₁₃₉	C₂	semidirect
17. #2404×C₁₃₉	C₂	semidirect
18. #2364×C₁₃₉	C₂	semidirect
19. #2363×C₁₃₉	C₂	semidirect
20. #2339×C₁₃₉	C₂	semidirect
21. #2339×C₁₃₉	C₂	semidirect
22. C₄×#121×C₁₃₉	C₂	semidirect
23. C₂×C₄×C₂²⋊C₄×C₁₃₉	C₂	semidirect
28. C₂×C₄⋊Q₈×C₁₃₉	C₂²	semidirect
29. C₂×#127×C₁₃₉	C₂²	semidirect
30. C₂×#124×C₁₃₉	C₂²	semidirect
31. C₂×#124×C₁₃₉	C₂²	semidirect
48. C₂×C₄×D₄×C₁₃₉	C₂²	semidirect
49. C₂×C₄×D₄×C₁₃₉	C₂²	semidirect
50. C₂×C₄×D₄×C₁₃₉	C₂²	semidirect
51. C₂×C₄×D₄×C₁₃₉	C₂²	semidirect
57. #400×C₁₃₉	C₂²	semidirect
58. #397×C₁₃₉	C₂²	semidirect
59. #397×C₁₃₉	C₂²	semidirect
63. #394×C₁₃₉	C₂²	semidirect
69. #391×C₁₃₉	C₂²	semidirect
70. #391×C₁₃₉	C₂²	semidirect
71. #391×C₁₃₉	C₂²	semidirect
72. #391×C₁₃₉	C₂²	semidirect
73. #391×C₁₃₉	C₂²	semidirect
75. #390×C₁₃₉	C₂²	semidirect
76. #390×C₁₃₉	C₂²	semidirect
77. #389×C₁₃₉	C₂²	semidirect
78. #389×C₁₃₉	C₂²	semidirect
79. #389×C₁₃₉	C₂²	semidirect
81. #388×C₁₃₉	C₂²	semidirect
82. #388×C₁₃₉	C₂²	semidirect
83. #388×C₁₃₉	C₂²	semidirect
84. #388×C₁₃₉	C₂²	semidirect
85. #387×C₁₃₉	C₂²	semidirect
86. #387×C₁₃₉	C₂²	semidirect
87. #387×C₁₃₉	C₂²	semidirect
99. #386×C₁₃₉	C₂²	semidirect
100. #386×C₁₃₉	C₂²	semidirect
101. #386×C₁₃₉	C₂²	semidirect
103. #382×C₁₃₉	C₂²	semidirect
105. #381×C₁₃₉	C₂²	semidirect
106. #381×C₁₃₉	C₂²	semidirect
110. #380×C₁₃₉	C₂²	semidirect
111. C₄×C₄⋊C₄×C₁₃₉	C₂²	semidirect
120. C₄×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
121. C₄×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
124. C₂×#95×C₁₃₉	C₂²	semidirect
174. #121×C₁₃₉	D₄	semidirect
352. C₂²×C₄×C₁₃₉	#41	semidirect
353. C₂²×C₄×C₁₃₉	#41	semidirect
410. C₂²⋊C₄×C₁₃₉	#41	semidirect
617. #36147	C₁₃₉	direct (N × H)
618. C₁₃₉	#36147	direct (N × H)
619. C₂×#532	C₂×C₁₃₉	semidirect
620. C₂×#525	C₂×C₁₃₉	semidirect
621. #2855	C₂×C₁₃₉	semidirect
622. #2850	C₂×C₁₃₉	semidirect
623. #2847	C₂×C₁₃₉	semidirect
624. #2557	C₂×C₁₃₉	semidirect
625. #2492	C₂×C₁₃₉	semidirect
626. #2459	C₂×C₁₃₉	semidirect
627. #2457	C₂×C₁₃₉	semidirect
628. #2444	C₂×C₁₃₉	semidirect
629. #2439	C₂×C₁₃₉	semidirect
630. #2431	C₂×C₁₃₉	semidirect
631. #2428	C₂×C₁₃₉	semidirect
632. #2427	C₂×C₁₃₉	semidirect
633. #2424	C₂×C₁₃₉	semidirect
634. #2420	C₂×C₁₃₉	semidirect
635. #2404	C₂×C₁₃₉	semidirect
636. #2364	C₂×C₁₃₉	semidirect
637. #2363	C₂×C₁₃₉	semidirect
638. #2339	C₂×C₁₃₉	semidirect
639. #2339	C₂×C₁₃₉	semidirect
640. C₄×#121	C₂×C₁₃₉	semidirect
641. C₂×C₄×C₂²⋊C₄	C₂×C₁₃₉	semidirect
646. C₂×C₄⋊Q₈	C₂²×C₁₃₉	semidirect
647. C₂×#127	C₂²×C₁₃₉	semidirect
648. C₂×#124	C₂²×C₁₃₉	semidirect
649. C₂×#124	C₂²×C₁₃₉	semidirect
666. C₂×C₄×D₄	C₂²×C₁₃₉	semidirect
667. C₂×C₄×D₄	C₂²×C₁₃₉	semidirect
668. C₂×C₄×D₄	C₂²×C₁₃₉	semidirect
669. C₂×C₄×D₄	C₂²×C₁₃₉	semidirect
675. #400	C₂²×C₁₃₉	semidirect
676. #397	C₂²×C₁₃₉	semidirect
677. #397	C₂²×C₁₃₉	semidirect
681. #394	C₂²×C₁₃₉	semidirect
687. #391	C₂²×C₁₃₉	semidirect
688. #391	C₂²×C₁₃₉	semidirect
689. #391	C₂²×C₁₃₉	semidirect
690. #391	C₂²×C₁₃₉	semidirect
691. #391	C₂²×C₁₃₉	semidirect
693. #390	C₂²×C₁₃₉	semidirect
694. #390	C₂²×C₁₃₉	semidirect
695. #389	C₂²×C₁₃₉	semidirect
696. #389	C₂²×C₁₃₉	semidirect
697. #389	C₂²×C₁₃₉	semidirect
699. #388	C₂²×C₁₃₉	semidirect
700. #388	C₂²×C₁₃₉	semidirect
701. #388	C₂²×C₁₃₉	semidirect
702. #388	C₂²×C₁₃₉	semidirect
703. #387	C₂²×C₁₃₉	semidirect
704. #387	C₂²×C₁₃₉	semidirect
705. #387	C₂²×C₁₃₉	semidirect
717. #386	C₂²×C₁₃₉	semidirect
718. #386	C₂²×C₁₃₉	semidirect
719. #386	C₂²×C₁₃₉	semidirect
721. #382	C₂²×C₁₃₉	semidirect
723. #381	C₂²×C₁₃₉	semidirect
724. #381	C₂²×C₁₃₉	semidirect
728. #380	C₂²×C₁₃₉	semidirect
729. C₄×C₄⋊C₄	C₂²×C₁₃₉	semidirect
738. C₄×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
739. C₄×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
742. C₂×#95	C₂²×C₁₃₉	semidirect
792. #121	D₄×C₁₃₉	semidirect
970. C₂²×C₄	#41×C₁₃₉	semidirect
971. C₂²×C₄	#41×C₁₃₉	semidirect
1028. 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×#532×C₁₃₉	2
C₂×#525×C₁₃₉	2
#2855×C₁₃₉	2
#2850×C₁₃₉	2
#2847×C₁₃₉	2
#2557×C₁₃₉	2
#2492×C₁₃₉	2
#2459×C₁₃₉	2
#2457×C₁₃₉	2
#2444×C₁₃₉	2
#2439×C₁₃₉	2
#2431×C₁₃₉	2
#2428×C₁₃₉	2
#2427×C₁₃₉	2
#2424×C₁₃₉	2
#2420×C₁₃₉	2
#2404×C₁₃₉	2
#2364×C₁₃₉	2
#2363×C₁₃₉	2
#2339×C₁₃₉	2
C₄×#121×C₁₃₉	2
C₂×C₄×C₂²⋊C₄×C₁₃₉	2
#36147	139

Subgroups — C139×#36147 #48030743

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃₉×#36147 #48030743