Subgroups — #31820581

Order 17792.

1166 conjugacy classes of subgroups.

The subgroup lattice has 1082 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#22581701	C₂	1	1	yes	maximal, characteristic, complemented
2	#22581700	C₂	1	1	yes	maximal, characteristic, complemented
3	#22581694	C₂	1	1	yes	maximal, characteristic, complemented
4	#22581691	C₂	1	1	yes	maximal, characteristic, complemented
5	#22581651	C₂	1	1	yes	maximal, characteristic, complemented
6	#22581628	C₂	1	1	yes	maximal, characteristic, complemented
7	#22581627	C₂	1	1	yes	maximal, characteristic, complemented
8	#22581599	C₂	1	1	yes	maximal, characteristic, complemented
9	#22581598	C₂	1	1	yes	maximal, characteristic, complemented
10	#22581598	C₂	1	1	yes	maximal, characteristic, complemented
11	#22581595	C₂	1	1	yes	maximal, characteristic, complemented
12	#22581592	C₂	1	1	yes	maximal, characteristic, complemented
13	#22581592	C₂	1	1	yes	maximal, characteristic, complemented
14	D₄×D₅₅₆	C₂	1	1	yes	maximal, characteristic, complemented
15	#22581587	C₂	1	1	yes	maximal, characteristic, complemented
16	#22581558	C₂	1	1	yes	maximal, characteristic, complemented
17	#22581555	C₂	1	1	yes	maximal, characteristic, complemented
18	#22581551	C₂	1	1	yes	maximal, characteristic, complemented
19	#22581545	C₂	1	1	yes	maximal, characteristic, complemented
20	#22581544	C₂	1	1	yes	maximal, characteristic, complemented
21	#22581542	C₂	1	1	yes	maximal, characteristic, complemented
22	#22581536	C₂	1	1	yes	maximal, characteristic, complemented
23	#22581536	C₂	1	1	yes	maximal, characteristic, complemented
24	#22581530	C₂	1	1	yes	maximal, characteristic, complemented
25	#22581514	C₂	1	1	yes	maximal, characteristic, complemented
26	#22581511	C₂	1	1	yes	maximal, characteristic, complemented
27	#22581511	C₂	1	1	yes	maximal, characteristic, complemented
28	#22581462	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂×#17984827	C₂	1	1	yes	maximal, characteristic, complemented
30	#121×D₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
31	#553×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#14555785	C₂²	1	1	yes	characteristic, complemented
33	C₂×#14555784	C₂²	1	1	yes	characteristic, complemented
34	C₂×#14555784	C₂²	1	1	yes	characteristic, complemented
35	C₂²×D₅₅₆	C₂²	1	1	yes	characteristic
36	C₂²×D₅₅₆	C₂²	1	1	yes	characteristic, complemented
37	C₂×D₄×D₁₃₉	C₂²	1	1	yes	characteristic, complemented
38	C₂×D₄×D₁₃₉	C₂²	1	1	yes	characteristic, complemented
39	C₂×D₄×D₁₃₉	C₂²	1	1	yes	characteristic, complemented
40	C₂×D₄×D₁₃₉	C₂²	1	1	yes	characteristic, complemented
41	C₂×D₄×D₁₃₉	C₂²	1	1	yes	characteristic, complemented
42	C₂×D₄×D₁₃₉	C₂²	1	1	yes	characteristic, complemented
43	C₂²×C₄×D₁₃₉	C₂²	1	1	yes	characteristic, complemented
44	#17984839	C₂²	1	1	yes	characteristic, complemented
45	#17984838	C₂²	1	1	yes	characteristic, complemented
46	#17984837	C₂²	1	1	yes	characteristic, complemented
47	#17984837	C₂²	1	1	yes	characteristic, complemented
48	#17984837	C₂²	1	1	yes	characteristic, complemented
49	#17984836	C₂²	1	1	yes	characteristic, complemented
50	#17984836	C₂²	1	1	yes	characteristic, complemented
51	#17984835	C₂²	1	1	yes	characteristic, complemented
52	#17984834	C₂²	1	1	yes	characteristic, complemented
53	#17984833	C₂²	1	1	yes	characteristic, complemented
54	#17984832	C₂²	1	1	yes	characteristic, complemented
55	#17984830	C₂²	1	1	yes	characteristic, complemented
56	#17984830	C₂²	1	1	yes	characteristic, complemented
57	#17984830	C₂²	1	1	yes	characteristic, complemented
58	#17984828	C₂²	1	1	yes	characteristic, complemented
59	#17984828	C₂²	1	1	yes	characteristic, complemented
60	#17984828	C₂²	1	1	yes	characteristic, complemented
61	#17984827	C₂²	1	1	yes	characteristic, complemented
62	#17984827	C₂²	1	1	yes	characteristic, complemented
63	#17984827	C₂²	1	1	yes	characteristic, complemented
64	#17984827	C₂²	1	1	yes	characteristic, complemented
65	#17984827	C₂²	1	1	yes	characteristic, complemented
66	#17984827	C₂²	1	1	yes	characteristic, complemented
67	#17984827	C₂²	1	1	yes	characteristic, complemented
68	#17984827	C₂²	1	1	yes	characteristic, complemented
69	#17984827	C₂²	1	1	yes	characteristic, complemented
70	#17984827	C₂²	1	1	yes	characteristic, complemented
71	#17984827	C₂²	1	1	yes	characteristic, complemented
72	#17984827	C₂²	1	1	yes	characteristic, complemented
73	#17984827	C₂²	1	1	yes	characteristic, complemented
74	#17984827	C₂²	1	1	yes	characteristic, complemented
75	#17984827	C₂²	1	1	yes	characteristic, complemented
76	#17984827	C₂²	1	1	yes	characteristic, complemented
77	#17984826	C₂²	1	1	yes	characteristic, complemented
78	#17984826	C₂²	1	1	yes	characteristic, complemented
79	#17984826	C₂²	1	1	yes	characteristic, complemented
80	#17984825	C₂²	1	1	yes	characteristic, complemented
81	#17984825	C₂²	1	1	yes	characteristic, complemented
82	#17984824	C₂²	1	1	yes	characteristic, complemented
83	#17984824	C₂²	1	1	yes	characteristic, complemented
84	#17984824	C₂²	1	1	yes	characteristic, complemented
85	#17984824	C₂²	1	1	yes	characteristic, complemented
86	#17984823	C₂²	1	1	yes	characteristic, complemented
87	#17984822	C₂²	1	1	yes	characteristic, complemented
88	#17984822	C₂²	1	1	yes	characteristic, complemented
89	#17984821	C₂²	1	1	yes	characteristic, complemented
90	#17984820	C₂²	1	1	yes	characteristic, complemented
91	#17984820	C₂²	1	1	yes	characteristic, complemented
92	#17984820	C₂²	1	1	yes	characteristic, complemented
93	#17984820	C₂²	1	1	yes	characteristic, complemented
94	#17984820	C₂²	1	1	yes	characteristic, complemented
95	#17984820	C₂²	1	1	yes	characteristic, complemented
96	#17984819	C₂²	1	1	yes	characteristic, complemented
97	#17984819	C₂²	1	1	yes	characteristic, complemented
98	#17984819	C₂²	1	1	yes	characteristic, complemented
99	#17984817	C₂²	1	1	yes	characteristic
100	#17984817	C₂²	1	1	yes	characteristic, complemented
101	#17984817	C₂²	1	1	yes	characteristic, complemented
102	#17984817	C₂²	1	1	yes	characteristic, complemented
103	#17984817	C₂²	1	1	yes	characteristic, complemented
104	#17984817	C₂²	1	1	yes	characteristic, complemented
105	#17984817	C₂²	1	1	yes	characteristic, complemented
106	#17984816	C₂²	1	1	yes	characteristic, complemented
107	#17984816	C₂²	1	1	yes	characteristic, complemented
108	#17984816	C₂²	1	1	yes	characteristic, complemented
109	#17984816	C₂²	1	1	yes	characteristic, complemented
110	#17984816	C₂²	1	1	yes	characteristic, complemented
111	#17984816	C₂²	1	1	yes	characteristic, complemented
112	#17984816	C₂²	1	1	yes	characteristic, complemented
113	#17984815	C₂²	1	1	yes	characteristic
114	#17984815	C₂²	1	1	yes	characteristic, complemented
115	#17984815	C₂²	1	1	yes	characteristic, complemented
116	#17984815	C₂²	1	1	yes	characteristic, complemented
117	#17984815	C₂²	1	1	yes	characteristic, complemented
118	#17984815	C₂²	1	1	yes	characteristic, complemented
119	#17984815	C₂²	1	1	yes	characteristic, complemented
120	#17984815	C₂²	1	1	yes	characteristic, complemented
121	#17984815	C₂²	1	1	yes	characteristic, complemented
122	#17984815	C₂²	1	1	yes	characteristic, complemented
123	#17984814	C₂²	1	1	yes	characteristic
124	#17984814	C₂²	1	1	yes	characteristic, complemented
125	#17984814	C₂²	1	1	yes	characteristic, complemented
126	#17984814	C₂²	1	1	yes	characteristic, complemented
127	#17984814	C₂²	1	1	yes	characteristic, complemented
128	#17984814	C₂²	1	1	yes	characteristic, complemented
129	#17984814	C₂²	1	1	yes	characteristic, complemented
130	#17984813	C₂²	1	1	yes	characteristic, complemented
131	#17984812	C₂²	1	1	yes	characteristic
132	#17984812	C₂²	1	1	yes	characteristic
133	#17984812	C₂²	1	1	yes	characteristic, complemented
134	#17984812	C₂²	1	1	yes	characteristic, complemented
135	#17984812	C₂²	1	1	yes	characteristic, complemented
136	#17984812	C₂²	1	1	yes	characteristic, complemented
137	#17984812	C₂²	1	1	yes	characteristic, complemented
138	#17984812	C₂²	1	1	yes	characteristic, complemented
139	#17984812	C₂²	1	1	yes	characteristic, complemented
140	#17984812	C₂²	1	1	yes	characteristic, complemented
141	#17984810	C₂²	1	1	yes	characteristic, complemented
142	#17984810	C₂²	1	1	yes	characteristic, complemented
143	#17984810	C₂²	1	1	yes	characteristic, complemented
144	#17984810	C₂²	1	1	yes	characteristic, complemented
145	#17984810	C₂²	1	1	yes	characteristic, complemented
146	#17984810	C₂²	1	1	yes	characteristic, complemented
147	C₄×D₅₅₆	C₂²	1	1	yes	characteristic, complemented
148	C₄×D₅₅₆	C₂²	1	1	yes	characteristic, complemented
149	C₄×D₅₅₆	C₂²	1	1	yes	characteristic, complemented
150	C₄×D₅₅₆	C₂²	1	1	yes	characteristic, complemented
151	#17984804	C₂²	1	1	yes	characteristic, complemented
152	#17984804	C₂²	1	1	yes	characteristic, complemented
153	C₄×C₂²⋊D₁₃₉	C₂²	1	1	yes	characteristic, complemented
154	C₄×C₂²⋊D₁₃₉	C₂²	1	1	yes	characteristic, complemented
155	C₄×C₂²⋊D₁₃₉	C₂²	1	1	yes	characteristic, complemented
156	C₄×C₂²⋊D₁₃₉	C₂²	1	1	yes	characteristic, complemented
157	(C₂²⋊D₁₃₉)⋊C₄	C₂²	1	1	yes	characteristic, complemented
158	(C₂²⋊D₁₃₉)⋊C₄	C₂²	1	1	yes	characteristic, complemented
159	#17984800	C₂²	1	1	yes	characteristic, complemented
160	#17984799	C₂²	1	1	yes	characteristic, complemented
161	C₂×Dic₁₃₉⋊C₄	C₂²	1	1	yes	characteristic, complemented
162	C₄⋊C₄×D₁₃₉	C₂²	1	1	yes	characteristic, complemented
163	C₂×(C₂×D₁₃₉)⋊C₄	C₂²	1	1	yes	characteristic, complemented
164	C₂×(C₂×D₁₃₉)⋊C₄	C₂²	1	1	yes	characteristic, complemented
165	C₂×(C₂×D₁₃₉)⋊C₄	C₂²	1	1	yes	characteristic, complemented
166	C₂×(C₂×D₁₃₉)⋊C₄	C₂²	1	1	yes	characteristic, complemented
167	C₂×(C₂×D₁₃₉)⋊C₄	C₂²	1	1	yes	characteristic, complemented
168	C₂²⋊C₄×D₁₃₉	C₂²	1	1	yes	characteristic, complemented
169	C₂²⋊C₄×D₁₃₉	C₂²	1	1	yes	characteristic, complemented
170	C₂²⋊C₄×D₁₃₉	C₂²	1	1	yes	characteristic, complemented
171	C₂²⋊C₄×D₁₃₉	C₂²	1	1	yes	characteristic, complemented
172	#126×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
173	#126×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
174	#125×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
175	#123×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
176	#123×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
177	#121×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
178	#121×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
179	#121×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
180	#121×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
181	C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
182	C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
183	C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
184	C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
185	#117×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
186	C₂×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
187	C₂³×D₁₃₉	C₂³	1	1	yes	characteristic
188	C₂³×D₁₃₉	C₂³	1	1	yes	characteristic
189	C₂³×D₁₃₉	C₂³	1	1	yes	characteristic
190	C₂³×D₁₃₉	C₂³	1	1	yes	characteristic
191	C₂³×D₁₃₉	C₂³	1	1	yes	characteristic
192	C₂³×D₁₃₉	C₂³	1	1	yes	characteristic
193	#14555785	—	4	2	no	—
194	#14555784	—	4	2	no	—
195	#14555784	—	4	2	no	—
196	C₂×Dic₂₇₈	C₂³	1	1	yes	characteristic
197	C₂×Dic₂₇₈	C₂³	1	1	yes	characteristic
198	C₂×Dic₂₇₈	C₂³	1	1	yes	characteristic
199	C₂×D₅₅₆	—	4	2	no	—
200	C₂×D₅₅₆	—	4	2	no	—
201	C₂×D₅₅₆	C₂³	1	1	yes	characteristic
202	C₂×D₅₅₆	C₂³	1	1	yes	characteristic
203	C₂×D₅₅₆	C₂³	1	1	yes	characteristic
204	C₂×D₅₅₆	C₂³	1	1	yes	characteristic
205	C₂×D₅₅₆	C₂³	1	1	yes	characteristic
206	C₂×D₅₅₆	C₂³	1	1	yes	characteristic
207	C₂×D₅₅₆	C₂³	1	1	yes	characteristic
208	C₂×D₅₅₆	C₂³	1	1	yes	characteristic
209	C₂×D₅₅₆	C₂³	1	1	yes	characteristic
210	C₂×D₅₅₆	C₂³	1	1	yes	characteristic
211	C₂×D₅₅₆	C₂³	1	1	yes	characteristic
212	C₂×D₅₅₆	C₂³	1	1	yes	characteristic
213	C₂×D₅₅₆	C₂³	1	1	yes	characteristic
214	C₂×D₅₅₆	C₂³	1	1	yes	characteristic
215	C₂×D₅₅₆	C₂³	1	1	yes	characteristic
216	C₂×C₂²⋊D₁₃₉	C₂³	1	1	yes	characteristic
217	C₂×C₂²⋊D₁₃₉	C₂³	1	1	yes	characteristic
218	C₂×C₂²⋊D₁₃₉	C₂³	1	1	yes	characteristic
219	C₂×C₂²⋊D₁₃₉	C₂³	1	1	yes	characteristic
220	C₂×C₂²⋊D₁₃₉	C₂³	1	1	yes	characteristic
221	C₂×C₂²⋊D₁₃₉	C₂³	1	1	yes	characteristic
222	C₂×C₂²⋊D₁₃₉	C₂³	1	1	yes	characteristic
223	C₂×C₂²⋊D₁₃₉	C₂³	1	1	yes	characteristic
224	C₂×C₂²⋊D₁₃₉	C₂³	1	1	yes	characteristic
225	C₂×C₂²⋊D₁₃₉	C₂³	1	1	yes	characteristic
226	C₂×C₂²⋊D₁₃₉	C₂³	1	1	yes	characteristic
227	C₂×C₂²⋊D₁₃₉	C₂³	1	1	yes	characteristic
228	C₂×C₂²⋊D₁₃₉	C₂³	1	1	yes	characteristic
229	C₂×C₂²⋊D₁₃₉	C₂³	1	1	yes	characteristic
230	C₂×C₂²⋊D₁₃₉	C₂³	1	1	yes	characteristic
231	C₂×C₂²⋊D₁₃₉	C₂³	1	1	yes	characteristic
232	D₄×D₁₃₉	—	4	2	no	—
233	D₄×D₁₃₉	—	4	2	no	—
234	D₄×D₁₃₉	—	4	2	no	—
235	D₄×D₁₃₉	—	4	2	no	—
236	D₄×D₁₃₉	—	4	2	no	—
237	D₄×D₁₃₉	—	4	2	no	—
238	C₂²×Dic₁₃₉	C₂³	1	1	yes	characteristic
239	C₂²×Dic₁₃₉	C₂³	1	1	yes	characteristic
240	C₂²×Dic₁₃₉	C₂³	1	1	yes	characteristic
241	C₂²×Dic₁₃₉	C₂³	1	1	yes	characteristic
242	C₂×C₄×D₁₃₉	—	4	2	no	—
243	C₂×C₄×D₁₃₉	C₂³	1	1	yes	characteristic
244	C₂×C₄×D₁₃₉	C₂³	1	1	yes	characteristic
245	C₂×C₄×D₁₃₉	C₂³	1	1	yes	characteristic
246	C₂×C₄×D₁₃₉	C₂³	1	1	yes	characteristic
247	C₂×C₄×D₁₃₉	C₂³	1	1	yes	characteristic
248	C₂×C₄×D₁₃₉	C₂³	1	1	yes	characteristic
249	C₂×C₄×D₁₃₉	C₂³	1	1	yes	characteristic
250	C₂×C₄×D₁₃₉	C₂³	1	1	yes	characteristic
251	C₂×C₄×D₁₃₉	C₂³	1	1	yes	characteristic
252	C₂×C₄×D₁₃₉	C₂³	1	1	yes	characteristic
253	C₂×C₄×D₁₃₉	C₂³	1	1	yes	characteristic
254	C₂×C₄×D₁₃₉	C₂³	1	1	yes	characteristic
255	C₂×C₄×D₁₃₉	C₂³	1	1	yes	characteristic
256	C₄⋊Dic₁₃₉	C₂³	1	1	yes	characteristic
257	C₄⋊Dic₁₃₉	C₂³	1	1	yes	characteristic
258	C₄⋊Dic₁₃₉	C₂³	1	1	yes	characteristic
259	C₄⋊Dic₁₃₉	C₂³	1	1	yes	characteristic
260	C₄⋊Dic₁₃₉	C₂³	1	1	yes	characteristic
261	C₄⋊Dic₁₃₉	C₂³	1	1	yes	characteristic
262	Dic₁₃₉⋊C₄	C₂³	1	1	yes	characteristic
263	Dic₁₃₉⋊C₄	C₂³	1	1	yes	characteristic
264	Dic₁₃₉⋊C₄	C₂³	1	1	yes	characteristic
265	Dic₁₃₉⋊C₄	C₂³	1	1	yes	characteristic
266	Dic₁₃₉⋊C₄	C₂³	1	1	yes	characteristic
267	Dic₁₃₉⋊C₄	C₂³	1	1	yes	characteristic
268	Dic₁₃₉⋊C₄	C₂³	1	1	yes	characteristic
269	Dic₁₃₉⋊C₄	C₂³	1	1	yes	characteristic
270	Dic₁₃₉⋊C₄	C₂³	1	1	yes	characteristic
271	Dic₁₃₉⋊C₄	C₂³	1	1	yes	characteristic
272	Dic₁₃₉⋊C₄	C₂³	1	1	yes	characteristic
273	Dic₁₃₉⋊C₄	C₂³	1	1	yes	characteristic
274	Dic₁₃₉⋊C₄	C₂³	1	1	yes	characteristic
275	Dic₁₃₉⋊C₄	C₂³	1	1	yes	characteristic
276	C₂²⋊Dic₁₃₉	C₂³	1	1	yes	characteristic
277	C₂²⋊Dic₁₃₉	C₂³	1	1	yes	characteristic
278	C₂²⋊Dic₁₃₉	C₂³	1	1	yes	characteristic
279	C₂²⋊Dic₁₃₉	C₂³	1	1	yes	characteristic
280	C₂²⋊Dic₁₃₉	C₂³	1	1	yes	characteristic
281	C₂²⋊Dic₁₃₉	C₂³	1	1	yes	characteristic
282	(C₂×D₁₃₉)⋊C₄	C₂³	1	1	yes	characteristic
283	(C₂×D₁₃₉)⋊C₄	C₂³	1	1	yes	characteristic
284	(C₂×D₁₃₉)⋊C₄	C₂³	1	1	yes	characteristic
285	(C₂×D₁₃₉)⋊C₄	C₂³	1	1	yes	characteristic
286	(C₂×D₁₃₉)⋊C₄	C₂³	1	1	yes	characteristic
287	(C₂×D₁₃₉)⋊C₄	C₂³	1	1	yes	characteristic
288	(C₂×D₁₃₉)⋊C₄	C₂³	1	1	yes	characteristic
289	(C₂×D₁₃₉)⋊C₄	C₂³	1	1	yes	characteristic
290	(C₂×D₁₃₉)⋊C₄	C₂³	1	1	yes	characteristic
291	(C₂×D₁₃₉)⋊C₄	C₂³	1	1	yes	characteristic
292	(C₂×D₁₃₉)⋊C₄	C₂³	1	1	yes	characteristic
293	(C₂×D₁₃₉)⋊C₄	C₂³	1	1	yes	characteristic
294	(C₂×D₁₃₉)⋊C₄	C₂³	1	1	yes	characteristic
295	(C₂×D₁₃₉)⋊C₄	C₂³	1	1	yes	characteristic
296	(C₂×D₁₃₉)⋊C₄	C₂³	1	1	yes	characteristic
297	(C₂×D₁₃₉)⋊C₄	C₂³	1	1	yes	characteristic
298	(C₂×D₁₃₉)⋊C₄	C₂³	1	1	yes	characteristic
299	(C₂×D₁₃₉)⋊C₄	C₂³	1	1	yes	characteristic
300	(C₂×D₁₃₉)⋊C₄	C₂³	1	1	yes	characteristic
301	(C₂×D₁₃₉)⋊C₄	C₂³	1	1	yes	characteristic
302	(C₂×D₁₃₉)⋊C₄	C₂³	1	1	yes	characteristic
303	(C₂×D₁₃₉)⋊C₄	C₂³	1	1	yes	characteristic
304	(C₂×D₁₃₉)⋊C₄	C₂³	1	1	yes	characteristic
305	(C₂×D₁₃₉)⋊C₄	C₂³	1	1	yes	characteristic
306	(C₂×D₁₃₉)⋊C₄	C₂³	1	1	yes	characteristic
307	(C₂×D₁₃₉)⋊C₄	C₂³	1	1	yes	characteristic
308	(C₂×D₁₃₉)⋊C₄	C₂³	1	1	yes	characteristic
309	(C₂×D₁₃₉)⋊C₄	C₂³	1	1	yes	characteristic
310	(C₂×D₁₃₉)⋊C₄	C₂³	1	1	yes	characteristic
311	(C₂×D₁₃₉)⋊C₄	C₂³	1	1	yes	characteristic
312	(C₂×D₁₃₉)⋊C₄	C₂³	1	1	yes	characteristic
313	(C₂×D₁₃₉)⋊C₄	C₂³	1	1	yes	characteristic
314	(C₂×D₁₃₉)⋊C₄	C₂³	1	1	yes	characteristic
315	(C₂×D₁₃₉)⋊C₄	C₂³	1	1	yes	characteristic
316	C₄×Dic₁₃₉	C₂³	1	1	yes	characteristic
317	C₄×Dic₁₃₉	C₂³	1	1	yes	characteristic
318	C₄×Dic₁₃₉	C₂³	1	1	yes	characteristic
319	C₂×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
320	C₂×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
321	C₂×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
322	C₂×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
323	C₂×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
324	C₂×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
325	C₂²×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
326	C₂²×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
327	C₂²×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
328	C₂²×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
329	C₂²×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
330	C₂²×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
331	C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
332	C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
333	C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
334	C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
335	C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
336	C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
337	C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
338	C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
339	C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
340	C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
341	C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
342	C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
343	C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
344	C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
345	C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
346	C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
347	C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
348	C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
349	C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
350	C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
351	C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
352	C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
353	C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
354	C₂²×D₁₃₉	—	2	2	no	—
355	C₂²×D₁₃₉	—	2	2	no	—
356	C₂²×D₁₃₉	—	2	2	no	—
357	C₂²×D₁₃₉	—	2	2	no	—
358	C₂²×D₁₃₉	—	2	2	no	—
359	C₂²×D₁₃₉	—	4	1	no	—
360	C₂²×D₁₃₉	—	4	1	no	—
361	C₂²×D₁₃₉	—	4	1	no	—
362	C₂²×D₁₃₉	—	4	1	no	—
363	C₂²×D₁₃₉	—	4	1	no	—
364	C₂²×D₁₃₉	—	4	1	no	—
365	C₂²×D₁₃₉	—	4	1	no	—
366	C₂²×D₁₃₉	—	4	1	no	—
367	C₂²×D₁₃₉	—	4	1	no	—
368	C₂²×D₁₃₉	—	4	1	no	—
369	C₂²×D₁₃₉	—	4	1	no	—
370	C₂²×D₁₃₉	—	4	1	no	—
371	C₂²×D₁₃₉	—	4	1	no	—
372	C₂²×D₁₃₉	C₂⁴	1	1	yes	characteristic
373	C₂²×D₁₃₉	C₂⁴	1	1	yes	characteristic
374	C₂²×D₁₃₉	C₂⁴	1	1	yes	characteristic
375	C₂²×D₁₃₉	C₂⁴	1	1	yes	characteristic
376	C₂²×D₁₃₉	C₂⁴	1	1	yes	characteristic
377	C₂²×D₁₃₉	C₂⁴	1	1	yes	characteristic
378	C₂²×D₁₃₉	C₂⁴	1	1	yes	characteristic
379	Dic₂₇₈	—	4	1	no	—
380	Dic₂₇₈	—	4	1	no	—
381	Dic₂₇₈	—	4	1	no	—
382	D₅₅₆	—	2	2	no	—
383	D₅₅₆	—	2	2	no	—
384	D₅₅₆	—	2	2	no	—
385	D₅₅₆	—	4	1	no	—
386	D₅₅₆	—	4	1	no	—
387	D₅₅₆	—	4	1	no	—
388	D₅₅₆	—	4	1	no	—
389	D₅₅₆	—	4	1	no	—
390	D₅₅₆	—	4	1	no	—
391	D₅₅₆	—	4	1	no	—
392	D₅₅₆	—	4	1	no	—
393	D₅₅₆	—	4	1	no	—
394	D₅₅₆	—	4	1	no	—
395	D₅₅₆	—	4	1	no	—
396	D₅₅₆	—	4	1	no	—
397	C₂²⋊D₁₃₉	—	2	2	no	—
398	C₂²⋊D₁₃₉	—	2	2	no	—
399	C₂²⋊D₁₃₉	—	2	2	no	—
400	C₂²⋊D₁₃₉	—	2	2	no	—
401	C₂²⋊D₁₃₉	—	4	1	no	—
402	C₂²⋊D₁₃₉	—	4	1	no	—
403	C₂²⋊D₁₃₉	—	4	1	no	—
404	C₂²⋊D₁₃₉	—	4	1	no	—
405	C₂²⋊D₁₃₉	—	4	1	no	—
406	C₂²⋊D₁₃₉	—	4	1	no	—
407	C₂²⋊D₁₃₉	—	4	1	no	—
408	C₂²⋊D₁₃₉	—	4	1	no	—
409	C₂²⋊D₁₃₉	—	4	1	no	—
410	C₂²⋊D₁₃₉	—	4	1	no	—
411	C₂²⋊D₁₃₉	—	4	1	no	—
412	C₂²⋊D₁₃₉	—	4	1	no	—
413	C₂×Dic₁₃₉	—	2	2	no	—
414	C₂×Dic₁₃₉	—	4	1	no	—
415	C₂×Dic₁₃₉	—	4	1	no	—
416	C₂×Dic₁₃₉	—	4	1	no	—
417	C₂×Dic₁₃₉	C₂⁴	1	1	yes	characteristic
418	C₂×Dic₁₃₉	C₂⁴	1	1	yes	characteristic
419	C₂×Dic₁₃₉	C₂⁴	1	1	yes	characteristic
420	C₂×Dic₁₃₉	C₂⁴	1	1	yes	characteristic
421	C₂×Dic₁₃₉	C₂⁴	1	1	yes	characteristic
422	C₂×Dic₁₃₉	C₂⁴	1	1	yes	characteristic
423	C₂×Dic₁₃₉	C₂⁴	1	1	yes	characteristic
424	C₂×Dic₁₃₉	C₂⁴	1	1	yes	characteristic
425	C₂×Dic₁₃₉	C₂⁴	1	1	yes	characteristic
426	C₄×D₁₃₉	—	2	2	no	—
427	C₄×D₁₃₉	—	2	2	no	—
428	C₄×D₁₃₉	—	4	1	no	—
429	C₄×D₁₃₉	—	4	1	no	—
430	C₄×D₁₃₉	—	4	1	no	—
431	C₄×D₁₃₉	—	4	1	no	—
432	C₄×D₁₃₉	—	4	1	no	—
433	C₄×D₁₃₉	—	4	1	no	—
434	C₄×D₁₃₉	—	4	1	no	—
435	C₄×D₁₃₉	—	4	1	no	—
436	C₄×D₁₃₉	—	4	1	no	—
437	C₄×D₁₃₉	—	4	1	no	—
438	C₄×D₁₃₉	—	4	1	no	—
439	C₂³×C₁₃₉	C₂⁴	1	1	yes	characteristic
440	C₂³×C₁₃₉	C₂⁴	1	1	yes	characteristic
441	C₂³×C₁₃₉	C₂⁴	1	1	yes	characteristic
442	C₂³×C₁₃₉	C₂⁴	1	1	yes	characteristic
443	D₄×C₁₃₉	—	2	2	no	—
444	D₄×C₁₃₉	—	2	2	no	—
445	D₄×C₁₃₉	—	2	2	no	—
446	D₄×C₁₃₉	—	4	1	no	—
447	D₄×C₁₃₉	—	4	1	no	—
448	D₄×C₁₃₉	—	4	1	no	—
449	C₂×C₄×C₁₃₉	—	4	1	no	—
450	C₂×C₄×C₁₃₉	—	4	1	no	—
451	C₂×C₄×C₁₃₉	—	4	1	no	—
452	C₂×C₄×C₁₃₉	—	4	1	no	—
453	C₂×C₄×C₁₃₉	—	4	1	no	—
454	C₂×C₄×C₁₃₉	—	4	1	no	—
455	C₂×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
456	C₂×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
457	C₂×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
458	C₂×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
459	C₂×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
460	C₂×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
461	C₂×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
462	C₂×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
463	C₂×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
464	C₂×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
465	C₂×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
466	C₂²×C₁₃₉	—	2	1	no	—
467	C₂²×C₁₃₉	—	2	1	no	—
468	C₂²×C₁₃₉	—	2	1	no	—
469	C₂²×C₁₃₉	—	2	1	no	—
470	C₂²×C₁₃₉	—	2	1	no	—
471	C₂²×C₁₃₉	—	2	1	no	—
472	C₂²×C₁₃₉	—	2	1	no	—
473	C₂²×C₁₃₉	—	2	1	no	—
474	C₂²×C₁₃₉	—	2	1	no	—
475	C₂²×C₁₃₉	—	2	1	no	—
476	C₂²×C₁₃₉	—	2	1	no	—
477	C₂²×C₁₃₉	H(5,𝔽₂)	1	2	yes	—
478	C₂²×C₁₃₉	C₂⁵	1	1	yes	characteristic
479	C₂×D₁₃₉	—	2	1	no	—
480	C₂×D₁₃₉	—	2	1	no	—
481	C₂×D₁₃₉	—	2	1	no	—
482	C₂×D₁₃₉	—	2	1	no	—
483	C₂×D₁₃₉	—	2	1	no	—
484	C₂×D₁₃₉	—	2	1	no	—
485	C₂×D₁₃₉	—	2	1	no	—
486	C₂×D₁₃₉	—	2	1	no	—
487	C₂×D₁₃₉	—	2	1	no	—
488	C₂×D₁₃₉	—	2	1	no	—
489	C₂×D₁₃₉	—	2	1	no	—
490	C₂×D₁₃₉	—	2	1	no	—
491	C₂×D₁₃₉	—	2	1	no	—
492	C₂×D₁₃₉	—	2	1	no	—
493	C₂×D₁₃₉	—	2	1	no	—
494	C₂×D₁₃₉	—	2	1	no	—
495	C₂×D₁₃₉	—	2	1	no	—
496	C₂×D₁₃₉	—	2	1	no	—
497	C₂×D₁₃₉	—	2	1	no	—
498	C₂×D₁₃₉	—	2	1	no	—
499	C₂×D₁₃₉	—	4	4	no	—
500	C₂×D₁₃₉	—	8	2	no	—
501	C₂×D₁₃₉	—	8	2	no	—
502	C₂×D₁₃₉	—	8	2	no	—
503	C₂×D₁₃₉	—	8	2	no	—
504	C₂×D₁₃₉	—	8	2	no	—
505	C₂×D₁₃₉	H(5,𝔽₂)	1	2	yes	—
506	C₄×C₁₃₉	—	2	1	no	—
507	C₄×C₁₃₉	—	2	1	no	—
508	C₄×C₁₃₉	—	2	1	no	—
509	C₄×C₁₃₉	—	2	1	no	—
510	C₄×C₁₃₉	—	2	1	no	—
511	C₄×C₁₃₉	—	2	1	no	—
512	C₄×C₁₃₉	—	2	1	no	—
513	C₄×C₁₃₉	—	2	1	no	—
514	C₄×C₁₃₉	—	2	1	no	—
515	C₄×C₁₃₉	—	2	1	no	—
516	C₄×C₁₃₉	—	2	1	no	—
517	Dic₁₃₉	—	2	1	no	—
518	Dic₁₃₉	—	2	1	no	—
519	Dic₁₃₉	—	2	1	no	—
520	Dic₁₃₉	—	2	1	no	—
521	Dic₁₃₉	—	2	1	no	—
522	Dic₁₃₉	—	2	1	no	—
523	Dic₁₃₉	—	2	1	no	—
524	Dic₁₃₉	—	2	1	no	—
525	Dic₁₃₉	—	2	1	no	—
526	C₂×C₁₃₉	—	2	2	no	—
527	C₂×C₁₃₉	—	4	1	no	—
528	C₂×C₁₃₉	—	4	1	no	—
529	C₂×C₁₃₉	—	4	1	no	—
530	C₂×C₁₃₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
531	C₂×C₁₃₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
532	C₂×C₁₃₉	#585	1	1	yes	characteristic
533	D₁₃₉	—	2	2	no	—
534	D₁₃₉	—	4	1	no	—
535	D₁₃₉	—	4	1	no	—
536	D₁₃₉	—	4	1	no	—
537	D₁₃₉	—	4	1	no	—
538	D₁₃₉	—	4	1	no	—
539	D₁₃₉	—	4	1	no	—
540	C₁₃₉	#3534	1	1	yes	characteristic, complemented, Sylow
541	#3534	—	139	1	no	maximal, Sylow
542	#562	—	139	1	no	—
543	#562	—	139	1	no	—
544	#560	—	139	1	no	—
545	#560	—	139	1	no	—
546	#553	—	139	1	no	—
547	#553	D₁₃₉	1	1	yes	characteristic, complemented
548	#551	—	139	1	no	—
549	#551	—	139	1	no	—
550	#546	—	139	1	no	—
551	#546	—	139	1	no	—
552	#546	—	139	1	no	—
553	#546	—	139	1	no	—
554	#546	—	139	1	no	—
555	#546	—	139	1	no	—
556	D₄²	—	139	1	no	—
557	D₄²	—	139	1	no	—
558	#540	—	139	1	no	—
559	#540	—	139	1	no	—
560	#539	—	139	1	no	—
561	#539	—	139	1	no	—
562	#539	—	139	1	no	—
563	#538	—	139	1	no	—
564	#538	—	139	1	no	—
565	#538	—	139	1	no	—
566	#537	—	139	1	no	—
567	#534	—	139	1	no	—
568	#534	—	139	1	no	—
569	#534	—	139	1	no	—
570	#525	—	139	1	no	—
571	C₂×#123	—	139	1	no	—
572	C₂×#121	—	139	1	no	—
573	C₂×#41	—	139	1	no	—
574	C₂×#41	—	139	1	no	—
575	C₂×#41	—	139	1	no	—
576	C₂²×D₄	—	139	1	no	—
577	C₂²×D₄	—	139	1	no	—
578	C₂²×D₄	—	139	1	no	—
579	C₂²×D₄	—	139	1	no	—
580	C₂²×D₄	—	139	1	no	—
581	C₂²×D₄	—	139	1	no	—
582	C₂²×D₄	—	139	1	no	—
583	C₂²×D₄	—	139	1	no	—
584	C₂³×C₄	—	139	1	no	—
585	#127	—	139	1	no	—
586	#127	—	139	1	no	—
587	#126	—	139	1	no	—
588	#126	—	139	1	no	—
589	#126	—	139	1	no	—
590	#126	—	139	1	no	—
591	#126	—	139	1	no	—
592	#126	—	139	1	no	—
593	#126	C₂×D₁₃₉	1	1	yes	characteristic, complemented
594	#126	C₂×D₁₃₉	1	1	yes	characteristic, complemented
595	#125	—	139	1	no	—
596	#125	—	139	1	no	—
597	#125	—	139	1	no	—
598	#125	C₂×D₁₃₉	1	1	yes	characteristic, complemented
599	#124	—	139	1	no	—
600	#124	—	139	1	no	—
601	#124	—	139	1	no	—
602	#124	—	139	1	no	—
603	#124	—	139	1	no	—
604	#124	—	139	1	no	—
605	#123	—	139	1	no	—
606	#123	—	139	1	no	—
607	#123	—	139	1	no	—
608	#123	—	139	1	no	—
609	#123	—	139	1	no	—
610	#123	—	139	1	no	—
611	#123	—	139	1	no	—
612	#123	—	139	1	no	—
613	#123	—	139	1	no	—
614	#123	—	139	1	no	—
615	#123	—	139	1	no	—
616	#123	—	139	1	no	—
617	#123	—	139	1	no	—
618	#123	—	139	1	no	—
619	#123	—	139	1	no	—
620	#123	—	139	1	no	—
621	#123	—	139	1	no	—
622	#123	—	139	1	no	—
623	#123	—	139	1	no	—
624	#123	—	139	1	no	—
625	#123	—	139	1	no	—
626	#123	—	139	1	no	—
627	#123	—	139	1	no	—
628	#123	—	139	1	no	—
629	#123	—	139	1	no	—
630	#123	—	139	1	no	—
631	#123	C₂×D₁₃₉	1	1	yes	characteristic, complemented
632	#123	C₂×D₁₃₉	1	1	yes	characteristic, complemented
633	C₂²⋊Q₈	—	139	1	no	—
634	C₂²⋊Q₈	—	139	1	no	—
635	C₂²⋊Q₈	—	139	1	no	—
636	C₂²⋊Q₈	—	139	1	no	—
637	C₂²⋊Q₈	—	139	1	no	—
638	C₂²⋊Q₈	—	139	1	no	—
639	C₂²⋊Q₈	—	139	1	no	—
640	C₂²⋊Q₈	—	139	1	no	—
641	C₂²⋊Q₈	—	139	1	no	—
642	C₂²⋊Q₈	—	139	1	no	—
643	C₂²⋊Q₈	—	139	1	no	—
644	C₂²⋊Q₈	—	139	1	no	—
645	#121	—	139	1	no	—
646	#121	—	139	1	no	—
647	#121	—	139	1	no	—
648	#121	—	139	1	no	—
649	#121	—	139	1	no	—
650	#121	—	139	1	no	—
651	#121	—	139	1	no	—
652	#121	—	139	1	no	—
653	#121	—	139	1	no	—
654	#121	—	139	1	no	—
655	#121	—	139	1	no	—
656	#121	—	139	1	no	—
657	#121	—	139	1	no	—
658	#121	—	139	1	no	—
659	#121	—	139	1	no	—
660	#121	—	139	1	no	—
661	#121	—	139	1	no	—
662	#121	—	139	1	no	—
663	#121	—	139	1	no	—
664	#121	—	139	1	no	—
665	#121	—	139	1	no	—
666	#121	—	139	1	no	—
667	#121	—	139	1	no	—
668	#121	—	139	1	no	—
669	#121	—	139	1	no	—
670	#121	—	139	1	no	—
671	#121	—	139	1	no	—
672	#121	—	139	1	no	—
673	#121	—	139	1	no	—
674	#121	—	139	1	no	—
675	#121	—	139	1	no	—
676	#121	—	139	1	no	—
677	#121	C₂×D₁₃₉	1	1	yes	characteristic, complemented
678	#121	C₂×D₁₃₉	1	1	yes	characteristic, complemented
679	#121	C₂×D₁₃₉	1	1	yes	characteristic, complemented
680	#121	C₂×D₁₃₉	1	1	yes	characteristic, complemented
681	#120	—	139	1	no	—
682	#120	—	139	1	no	—
683	#120	—	139	1	no	—
684	#120	—	139	1	no	—
685	#120	—	139	1	no	—
686	#120	—	139	1	no	—
687	#120	—	139	1	no	—
688	#120	—	139	1	no	—
689	#120	—	139	1	no	—
690	#120	—	139	1	no	—
691	#120	—	139	1	no	—
692	#120	—	139	1	no	—
693	#120	—	139	1	no	—
694	#120	—	139	1	no	—
695	#120	—	139	1	no	—
696	#120	—	139	1	no	—
697	C₄×D₄	—	139	1	no	—
698	C₄×D₄	—	139	1	no	—
699	C₄×D₄	—	139	1	no	—
700	C₄×D₄	—	139	1	no	—
701	C₄×D₄	—	139	1	no	—
702	C₄×D₄	—	139	1	no	—
703	C₄×D₄	—	139	1	no	—
704	C₄×D₄	—	139	1	no	—
705	C₄×D₄	—	139	1	no	—
706	C₄×D₄	—	139	1	no	—
707	C₄×D₄	—	139	1	no	—
708	C₄×D₄	—	139	1	no	—
709	C₄×D₄	C₂×D₁₃₉	1	1	yes	characteristic, complemented
710	C₄×D₄	C₂×D₁₃₉	1	1	yes	characteristic, complemented
711	C₄×D₄	C₂×D₁₃₉	1	1	yes	characteristic, complemented
712	C₄×D₄	C₂×D₁₃₉	1	1	yes	characteristic, complemented
713	#117	—	139	1	no	—
714	#117	—	139	1	no	—
715	#117	C₂×D₁₃₉	1	1	yes	characteristic, complemented
716	C₂×C₄⋊C₄	—	139	1	no	—
717	C₂×C₄⋊C₄	—	139	1	no	—
718	C₂×C₄⋊C₄	C₂×D₁₃₉	1	1	yes	characteristic, complemented
719	C₂×C₂²⋊C₄	—	139	1	no	—
720	C₂×C₂²⋊C₄	—	139	1	no	—
721	C₂×C₂²⋊C₄	—	139	1	no	—
722	C₂×C₂²⋊C₄	—	139	1	no	—
723	C₂×C₂²⋊C₄	—	139	1	no	—
724	C₂×C₂²⋊C₄	—	139	1	no	—
725	C₂×C₂²⋊C₄	—	139	1	no	—
726	C₂×C₂²⋊C₄	—	139	1	no	—
727	C₂×C₂²⋊C₄	—	139	1	no	—
728	C₂⁴	—	139	1	no	—
729	C₂⁴	—	139	1	no	—
730	C₂⁴	—	139	1	no	—
731	C₂⁴	—	139	1	no	—
732	C₂⁴	—	139	1	no	—
733	C₂⁴	—	139	1	no	—
734	#41	—	556	2	no	—
735	#41	—	556	2	no	—
736	#41	—	556	2	no	—
737	C₂×Q₈	—	139	1	no	—
738	C₂×Q₈	—	139	1	no	—
739	C₂×Q₈	—	139	1	no	—
740	C₂×D₄	—	556	2	no	—
741	C₂×D₄	—	556	2	no	—
742	C₂×D₄	—	556	2	no	—
743	C₂×D₄	—	556	2	no	—
744	C₂×D₄	—	556	2	no	—
745	C₂×D₄	—	556	2	no	—
746	C₂×D₄	—	556	2	no	—
747	C₂×D₄	—	556	2	no	—
748	C₂×D₄	—	139	1	no	—
749	C₂×D₄	—	139	1	no	—
750	C₂×D₄	—	139	1	no	—
751	C₂×D₄	—	139	1	no	—
752	C₂×D₄	—	139	1	no	—
753	C₂×D₄	—	139	1	no	—
754	C₂×D₄	—	139	1	no	—
755	C₂×D₄	—	139	1	no	—
756	C₂×D₄	—	139	1	no	—
757	C₂×D₄	—	139	1	no	—
758	C₂×D₄	—	139	1	no	—
759	C₂×D₄	—	139	1	no	—
760	C₂×D₄	—	139	1	no	—
761	C₂×D₄	—	139	1	no	—
762	C₂×D₄	—	139	1	no	—
763	C₂×D₄	—	139	1	no	—
764	C₂×D₄	—	139	1	no	—
765	C₂×D₄	—	139	1	no	—
766	C₂×D₄	—	139	1	no	—
767	C₂×D₄	—	139	1	no	—
768	C₂×D₄	—	139	1	no	—
769	C₂×D₄	—	139	1	no	—
770	C₂×D₄	—	139	1	no	—
771	C₂×D₄	—	139	1	no	—
772	C₂×D₄	—	139	1	no	—
773	C₂×D₄	—	139	1	no	—
774	C₂×D₄	—	139	1	no	—
775	C₂×D₄	—	139	1	no	—
776	C₂×D₄	—	139	1	no	—
777	C₂×D₄	—	139	1	no	—
778	C₂×D₄	—	139	1	no	—
779	C₂×D₄	C₂²×D₁₃₉	1	1	yes	characteristic
780	C₂×D₄	C₂²×D₁₃₉	1	1	yes	characteristic
781	C₂×D₄	C₂²×D₁₃₉	1	1	yes	characteristic
782	C₂×D₄	C₂²×D₁₃₉	1	1	yes	characteristic
783	C₂×D₄	C₂²×D₁₃₉	1	1	yes	characteristic
784	C₂×D₄	C₂²×D₁₃₉	1	1	yes	characteristic
785	C₂²×C₄	—	556	2	no	—
786	C₂²×C₄	—	139	1	no	—
787	C₂²×C₄	—	139	1	no	—
788	C₂²×C₄	—	139	1	no	—
789	C₂²×C₄	—	139	1	no	—
790	C₂²×C₄	—	139	1	no	—
791	C₂²×C₄	—	139	1	no	—
792	C₂²×C₄	—	139	1	no	—
793	C₂²×C₄	—	139	1	no	—
794	C₂²×C₄	—	139	1	no	—
795	C₂²×C₄	—	139	1	no	—
796	C₂²×C₄	—	139	1	no	—
797	C₂²×C₄	—	139	1	no	—
798	C₂²×C₄	—	139	1	no	—
799	C₂²×C₄	—	139	1	no	—
800	C₂²×C₄	—	139	1	no	—
801	C₂²×C₄	—	139	1	no	—
802	C₂²×C₄	—	139	1	no	—
803	C₂²×C₄	C₂²×D₁₃₉	1	1	yes	characteristic
804	C₂²×C₄	C₂²×D₁₃₉	1	1	yes	characteristic
805	C₂²×C₄	C₂²×D₁₃₉	1	1	yes	characteristic
806	C₂²×C₄	C₂²×D₁₃₉	1	1	yes	characteristic
807	C₂²×C₄	C₂²×D₁₃₉	1	1	yes	characteristic
808	C₂²×C₄	C₂²×D₁₃₉	1	1	yes	characteristic
809	C₄⋊C₄	—	139	1	no	—
810	C₄⋊C₄	—	139	1	no	—
811	C₄⋊C₄	—	139	1	no	—
812	C₄⋊C₄	—	139	1	no	—
813	C₄⋊C₄	—	139	1	no	—
814	C₄⋊C₄	—	139	1	no	—
815	C₄⋊C₄	—	139	1	no	—
816	C₄⋊C₄	—	139	1	no	—
817	C₄⋊C₄	—	139	1	no	—
818	C₄⋊C₄	—	139	1	no	—
819	C₄⋊C₄	—	139	1	no	—
820	C₄⋊C₄	—	139	1	no	—
821	C₄⋊C₄	—	139	1	no	—
822	C₄⋊C₄	—	139	1	no	—
823	C₄⋊C₄	—	139	1	no	—
824	C₄⋊C₄	—	139	1	no	—
825	C₄⋊C₄	—	139	1	no	—
826	C₄⋊C₄	—	139	1	no	—
827	C₄⋊C₄	—	139	1	no	—
828	C₄⋊C₄	—	139	1	no	—
829	C₄⋊C₄	C₂²×D₁₃₉	1	1	yes	characteristic
830	C₄⋊C₄	C₂²×D₁₃₉	1	1	yes	characteristic
831	C₄⋊C₄	C₂²×D₁₃₉	1	1	yes	characteristic
832	C₄⋊C₄	C₂²×D₁₃₉	1	1	yes	characteristic
833	C₄⋊C₄	C₂²×D₁₃₉	1	1	yes	characteristic
834	C₄⋊C₄	C₂²×D₁₃₉	1	1	yes	characteristic
835	C₄⋊C₄	C₂²×D₁₃₉	1	1	yes	characteristic
836	C₄⋊C₄	C₂²×D₁₃₉	1	1	yes	characteristic
837	C₄⋊C₄	C₂²×D₁₃₉	1	1	yes	characteristic
838	C₄⋊C₄	C₂²×D₁₃₉	1	1	yes	characteristic
839	C₂²⋊C₄	—	139	1	no	—
840	C₂²⋊C₄	—	139	1	no	—
841	C₂²⋊C₄	—	139	1	no	—
842	C₂²⋊C₄	—	139	1	no	—
843	C₂²⋊C₄	—	139	1	no	—
844	C₂²⋊C₄	—	139	1	no	—
845	C₂²⋊C₄	—	139	1	no	—
846	C₂²⋊C₄	—	139	1	no	—
847	C₂²⋊C₄	—	139	1	no	—
848	C₂²⋊C₄	—	139	1	no	—
849	C₂²⋊C₄	—	139	1	no	—
850	C₂²⋊C₄	—	139	1	no	—
851	C₂²⋊C₄	—	139	1	no	—
852	C₂²⋊C₄	—	139	1	no	—
853	C₂²⋊C₄	—	139	1	no	—
854	C₂²⋊C₄	—	139	1	no	—
855	C₂²⋊C₄	—	139	1	no	—
856	C₂²⋊C₄	—	139	1	no	—
857	C₂²⋊C₄	—	139	1	no	—
858	C₂²⋊C₄	—	139	1	no	—
859	C₂²⋊C₄	—	139	1	no	—
860	C₂²⋊C₄	—	139	1	no	—
861	C₂²⋊C₄	—	139	1	no	—
862	C₂²⋊C₄	—	139	1	no	—
863	C₂²⋊C₄	—	139	1	no	—
864	C₂²⋊C₄	—	139	1	no	—
865	C₂²⋊C₄	—	139	1	no	—
866	C₂²⋊C₄	—	139	1	no	—
867	C₂²⋊C₄	—	139	1	no	—
868	C₂²⋊C₄	—	139	1	no	—
869	C₂²⋊C₄	—	139	1	no	—
870	C₂²⋊C₄	—	139	1	no	—
871	C₂²⋊C₄	—	139	1	no	—
872	C₂²⋊C₄	—	139	1	no	—
873	C₂²⋊C₄	—	139	1	no	—
874	C₂²⋊C₄	—	139	1	no	—
875	C₂²⋊C₄	—	139	1	no	—
876	C₂²⋊C₄	—	139	1	no	—
877	C₂²⋊C₄	—	139	1	no	—
878	C₂²⋊C₄	—	139	1	no	—
879	C₂²⋊C₄	C₂²×D₁₃₉	1	1	yes	characteristic
880	C₂²⋊C₄	C₂²×D₁₃₉	1	1	yes	characteristic
881	C₂²⋊C₄	C₂²×D₁₃₉	1	1	yes	characteristic
882	C₂²⋊C₄	C₂²×D₁₃₉	1	1	yes	characteristic
883	C₂²⋊C₄	C₂²×D₁₃₉	1	1	yes	characteristic
884	C₂²⋊C₄	C₂²×D₁₃₉	1	1	yes	characteristic
885	C₂²⋊C₄	C₂²×D₁₃₉	1	1	yes	characteristic
886	C₂²⋊C₄	C₂²×D₁₃₉	1	1	yes	characteristic
887	C₂²⋊C₄	C₂²×D₁₃₉	1	1	yes	characteristic
888	C₂²⋊C₄	C₂²×D₁₃₉	1	1	yes	characteristic
889	C₄²	—	139	1	no	—
890	C₄²	—	139	1	no	—
891	C₄²	—	139	1	no	—
892	C₄²	C₂²×D₁₃₉	1	1	yes	characteristic
893	C₄²	C₂²×D₁₃₉	1	1	yes	characteristic
894	C₄²	C₂²×D₁₃₉	1	1	yes	characteristic
895	C₂³	—	278	2	no	—
896	C₂³	—	278	2	no	—
897	C₂³	—	278	2	no	—
898	C₂³	—	278	2	no	—
899	C₂³	—	278	2	no	—
900	C₂³	—	556	1	no	—
901	C₂³	—	556	1	no	—
902	C₂³	—	556	1	no	—
903	C₂³	—	556	1	no	—
904	C₂³	—	556	1	no	—
905	C₂³	—	556	1	no	—
906	C₂³	—	556	1	no	—
907	C₂³	—	556	1	no	—
908	C₂³	—	556	1	no	—
909	C₂³	—	556	1	no	—
910	C₂³	—	556	1	no	—
911	C₂³	—	556	1	no	—
912	C₂³	—	556	1	no	—
913	C₂³	—	139	1	no	—
914	C₂³	—	139	1	no	—
915	C₂³	—	139	1	no	—
916	C₂³	—	139	1	no	—
917	C₂³	—	139	1	no	—
918	C₂³	—	139	1	no	—
919	C₂³	—	139	1	no	—
920	C₂³	C₂³×D₁₃₉	1	1	yes	characteristic
921	C₂³	C₂³×D₁₃₉	1	1	yes	characteristic
922	C₂³	C₂³×D₁₃₉	1	1	yes	characteristic
923	C₂³	C₂³×D₁₃₉	1	1	yes	characteristic
924	Q₈	—	556	1	no	—
925	Q₈	—	556	1	no	—
926	Q₈	—	556	1	no	—
927	D₄	—	2	2	no	—
928	D₄	—	2	2	no	—
929	D₄	—	2	2	no	—
930	D₄	—	4	1	no	—
931	D₄	—	4	1	no	—
932	D₄	—	4	1	no	—
933	D₄	—	278	2	no	—
934	D₄	—	278	2	no	—
935	D₄	—	278	2	no	—
936	D₄	—	278	2	no	—
937	D₄	—	278	2	no	—
938	D₄	—	278	2	no	—
939	D₄	—	278	2	no	—
940	D₄	—	556	1	no	—
941	D₄	—	556	1	no	—
942	D₄	—	556	1	no	—
943	D₄	—	556	1	no	—
944	D₄	—	556	1	no	—
945	D₄	—	556	1	no	—
946	D₄	—	556	1	no	—
947	D₄	—	556	1	no	—
948	D₄	—	556	1	no	—
949	D₄	—	556	1	no	—
950	D₄	—	556	1	no	—
951	D₄	—	556	1	no	—
952	D₄	—	556	1	no	—
953	D₄	—	556	1	no	—
954	D₄	—	556	1	no	—
955	D₄	—	556	1	no	—
956	D₄	—	556	1	no	—
957	D₄	—	556	1	no	—
958	D₄	—	556	1	no	—
959	D₄	—	556	1	no	—
960	D₄	—	556	1	no	—
961	D₄	—	556	1	no	—
962	D₄	—	556	1	no	—
963	D₄	—	556	1	no	—
964	C₂×C₄	—	4	1	no	—
965	C₂×C₄	—	4	1	no	—
966	C₂×C₄	—	4	1	no	—
967	C₂×C₄	—	4	1	no	—
968	C₂×C₄	—	4	1	no	—
969	C₂×C₄	—	4	1	no	—
970	C₂×C₄	—	278	2	no	—
971	C₂×C₄	—	278	2	no	—
972	C₂×C₄	—	278	2	no	—
973	C₂×C₄	—	556	1	no	—
974	C₂×C₄	—	556	1	no	—
975	C₂×C₄	—	556	1	no	—
976	C₂×C₄	—	556	1	no	—
977	C₂×C₄	—	556	1	no	—
978	C₂×C₄	—	556	1	no	—
979	C₂×C₄	—	556	1	no	—
980	C₂×C₄	—	556	1	no	—
981	C₂×C₄	—	556	1	no	—
982	C₂×C₄	—	556	1	no	—
983	C₂×C₄	—	556	1	no	—
984	C₂×C₄	—	556	1	no	—
985	C₂×C₄	—	556	1	no	—
986	C₂×C₄	—	556	1	no	—
987	C₂×C₄	—	139	1	no	—
988	C₂×C₄	—	139	1	no	—
989	C₂×C₄	—	139	1	no	—
990	C₂×C₄	—	139	1	no	—
991	C₂×C₄	—	139	1	no	—
992	C₂×C₄	—	139	1	no	—
993	C₂×C₄	—	139	1	no	—
994	C₂×C₄	—	139	1	no	—
995	C₂×C₄	—	139	1	no	—
996	C₂×C₄	C₂³×D₁₃₉	1	1	yes	characteristic
997	C₂×C₄	C₂³×D₁₃₉	1	1	yes	characteristic
998	C₂×C₄	C₂³×D₁₃₉	1	1	yes	characteristic
999	C₂×C₄	C₂³×D₁₃₉	1	1	yes	characteristic
1000	C₂×C₄	C₂³×D₁₃₉	1	1	yes	characteristic
1001	C₂×C₄	C₂³×D₁₃₉	1	1	yes	characteristic
1002	C₂×C₄	C₂³×D₁₃₉	1	1	yes	characteristic
1003	C₂×C₄	C₂³×D₁₃₉	1	1	yes	characteristic
1004	C₂×C₄	C₂³×D₁₃₉	1	1	yes	characteristic
1005	C₂×C₄	C₂³×D₁₃₉	1	1	yes	characteristic
1006	C₂×C₄	C₂³×D₁₃₉	1	1	yes	characteristic
1007	C₂²	—	2	1	no	—
1008	C₂²	—	2	1	no	—
1009	C₂²	—	2	1	no	—
1010	C₂²	—	2	1	no	—
1011	C₂²	—	2	1	no	—
1012	C₂²	—	2	1	no	—
1013	C₂²	—	2	1	no	—
1014	C₂²	—	2	1	no	—
1015	C₂²	—	2	1	no	—
1016	C₂²	—	2	1	no	—
1017	C₂²	—	2	1	no	—
1018	C₂²	—	278	1	no	—
1019	C₂²	—	278	1	no	—
1020	C₂²	—	278	1	no	—
1021	C₂²	—	278	1	no	—
1022	C₂²	—	278	1	no	—
1023	C₂²	—	278	1	no	—
1024	C₂²	—	278	1	no	—
1025	C₂²	—	278	1	no	—
1026	C₂²	—	278	1	no	—
1027	C₂²	—	278	1	no	—
1028	C₂²	—	278	1	no	—
1029	C₂²	—	278	1	no	—
1030	C₂²	—	278	1	no	—
1031	C₂²	—	278	1	no	—
1032	C₂²	—	278	1	no	—
1033	C₂²	—	278	1	no	—
1034	C₂²	—	278	1	no	—
1035	C₂²	—	278	1	no	—
1036	C₂²	—	278	1	no	—
1037	C₂²	—	278	1	no	—
1038	C₂²	—	556	4	no	—
1039	C₂²	—	1112	2	no	—
1040	C₂²	—	1112	2	no	—
1041	C₂²	—	1112	2	no	—
1042	C₂²	—	1112	2	no	—
1043	C₂²	—	1112	2	no	—
1044	C₂²	—	139	2	no	—
1045	C₂²	#17984888	1	2	yes	—
1046	C₂²	C₂⁴×D₁₃₉	1	1	yes	characteristic
1047	C₄	—	2	1	no	—
1048	C₄	—	2	1	no	—
1049	C₄	—	2	1	no	—
1050	C₄	—	2	1	no	—
1051	C₄	—	2	1	no	—
1052	C₄	—	2	1	no	—
1053	C₄	—	2	1	no	—
1054	C₄	—	2	1	no	—
1055	C₄	—	2	1	no	—
1056	C₄	—	2	1	no	—
1057	C₄	—	2	1	no	—
1058	C₄	—	278	1	no	—
1059	C₄	—	278	1	no	—
1060	C₄	—	278	1	no	—
1061	C₄	—	278	1	no	—
1062	C₄	—	278	1	no	—
1063	C₄	—	278	1	no	—
1064	C₄	—	278	1	no	—
1065	C₄	—	278	1	no	—
1066	C₄	—	278	1	no	—
1067	C₂	—	2	2	no	—
1068	C₂	—	4	1	no	—
1069	C₂	—	4	1	no	—
1070	C₂	—	4	1	no	—
1071	C₂	—	278	2	no	—
1072	C₂	—	556	1	no	—
1073	C₂	—	556	1	no	—
1074	C₂	—	556	1	no	—
1075	C₂	—	556	1	no	—
1076	C₂	—	556	1	no	—
1077	C₂	—	556	1	no	—
1078	C₂	H(5,𝔽₂)×D₁₃₉	1	1	yes	characteristic
1079	C₂	C₂×#17984888	1	1	yes	characteristic
1080	C₂	#22581789	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×D₁₃₉
commutator, socle, cosocle	C₂²×C₁₃₉	C₂⁵
Fitting	#553×C₁₃₉	C₂
hypercenter	#553	D₁₃₉
hypocenter	C₁₃₉	#3534
LCS	G ▷ C₂²×C₁₃₉ ▷ C₁₃₉
UCS	C₁ ◁ C₂² ◁ #553

Complements

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

N	H ≅ G/N	type
1. #22581701	C₂	semidirect
2. #22581700	C₂	semidirect
3. #22581694	C₂	semidirect
4. #22581691	C₂	semidirect
5. #22581651	C₂	semidirect
6. #22581628	C₂	semidirect
7. #22581627	C₂	semidirect
8. #22581599	C₂	semidirect
9. #22581598	C₂	semidirect
10. #22581598	C₂	semidirect
11. #22581595	C₂	semidirect
12. #22581592	C₂	semidirect
13. #22581592	C₂	semidirect
14. D₄×D₅₅₆	C₂	semidirect
15. #22581587	C₂	semidirect
16. #22581558	C₂	semidirect
17. #22581555	C₂	semidirect
18. #22581551	C₂	semidirect
19. #22581545	C₂	semidirect
20. #22581544	C₂	semidirect
21. #22581542	C₂	semidirect
22. #22581536	C₂	semidirect
23. #22581536	C₂	semidirect
24. #22581530	C₂	semidirect
25. #22581514	C₂	semidirect
26. #22581511	C₂	semidirect
27. #22581511	C₂	semidirect
28. #22581462	C₂	semidirect
29. C₂×#17984827	C₂	semidirect
30. #121×D₁₃₉	C₂	semidirect
31. #553×C₁₃₉	C₂	semidirect
32. C₂×#14555785	C₂²	semidirect
33. C₂×#14555784	C₂²	semidirect
34. C₂×#14555784	C₂²	semidirect
36. C₂²×D₅₅₆	C₂²	semidirect
37. C₂×D₄×D₁₃₉	C₂²	semidirect
38. C₂×D₄×D₁₃₉	C₂²	semidirect
39. C₂×D₄×D₁₃₉	C₂²	semidirect
40. C₂×D₄×D₁₃₉	C₂²	semidirect
41. C₂×D₄×D₁₃₉	C₂²	semidirect
42. C₂×D₄×D₁₃₉	C₂²	semidirect
43. C₂²×C₄×D₁₃₉	C₂²	semidirect
44. #17984839	C₂²	semidirect
45. #17984838	C₂²	semidirect
46. #17984837	C₂²	semidirect
47. #17984837	C₂²	semidirect
48. #17984837	C₂²	semidirect
49. #17984836	C₂²	semidirect
50. #17984836	C₂²	semidirect
51. #17984835	C₂²	semidirect
52. #17984834	C₂²	semidirect
53. #17984833	C₂²	semidirect
54. #17984832	C₂²	semidirect
55. #17984830	C₂²	semidirect
56. #17984830	C₂²	semidirect
57. #17984830	C₂²	semidirect
58. #17984828	C₂²	semidirect
59. #17984828	C₂²	semidirect
60. #17984828	C₂²	semidirect
61. #17984827	C₂²	semidirect
62. #17984827	C₂²	semidirect
63. #17984827	C₂²	semidirect
64. #17984827	C₂²	semidirect
65. #17984827	C₂²	semidirect
66. #17984827	C₂²	semidirect
67. #17984827	C₂²	semidirect
68. #17984827	C₂²	semidirect
69. #17984827	C₂²	semidirect
70. #17984827	C₂²	semidirect
71. #17984827	C₂²	semidirect
72. #17984827	C₂²	semidirect
73. #17984827	C₂²	semidirect
74. #17984827	C₂²	semidirect
75. #17984827	C₂²	semidirect
76. #17984827	C₂²	semidirect
77. #17984826	C₂²	semidirect
78. #17984826	C₂²	semidirect
79. #17984826	C₂²	semidirect
80. #17984825	C₂²	semidirect
81. #17984825	C₂²	semidirect
82. #17984824	C₂²	semidirect
83. #17984824	C₂²	semidirect
84. #17984824	C₂²	semidirect
85. #17984824	C₂²	semidirect
86. #17984823	C₂²	semidirect
87. #17984822	C₂²	semidirect
88. #17984822	C₂²	semidirect
89. #17984821	C₂²	semidirect
90. #17984820	C₂²	semidirect
91. #17984820	C₂²	semidirect
92. #17984820	C₂²	semidirect
93. #17984820	C₂²	semidirect
94. #17984820	C₂²	semidirect
95. #17984820	C₂²	semidirect
96. #17984819	C₂²	semidirect
97. #17984819	C₂²	semidirect
98. #17984819	C₂²	semidirect
100. #17984817	C₂²	semidirect
101. #17984817	C₂²	semidirect
102. #17984817	C₂²	semidirect
103. #17984817	C₂²	semidirect
104. #17984817	C₂²	semidirect
105. #17984817	C₂²	semidirect
106. #17984816	C₂²	semidirect
107. #17984816	C₂²	semidirect
108. #17984816	C₂²	semidirect
109. #17984816	C₂²	semidirect
110. #17984816	C₂²	semidirect
111. #17984816	C₂²	semidirect
112. #17984816	C₂²	semidirect
114. #17984815	C₂²	semidirect
115. #17984815	C₂²	semidirect
116. #17984815	C₂²	semidirect
117. #17984815	C₂²	semidirect
118. #17984815	C₂²	semidirect
119. #17984815	C₂²	semidirect
120. #17984815	C₂²	semidirect
121. #17984815	C₂²	semidirect
122. #17984815	C₂²	semidirect
124. #17984814	C₂²	semidirect
125. #17984814	C₂²	semidirect
126. #17984814	C₂²	semidirect
127. #17984814	C₂²	semidirect
128. #17984814	C₂²	semidirect
129. #17984814	C₂²	semidirect
130. #17984813	C₂²	semidirect
133. #17984812	C₂²	semidirect
134. #17984812	C₂²	semidirect
135. #17984812	C₂²	semidirect
136. #17984812	C₂²	semidirect
137. #17984812	C₂²	semidirect
138. #17984812	C₂²	semidirect
139. #17984812	C₂²	semidirect
140. #17984812	C₂²	semidirect
141. #17984810	C₂²	semidirect
142. #17984810	C₂²	semidirect
143. #17984810	C₂²	semidirect
144. #17984810	C₂²	semidirect
145. #17984810	C₂²	semidirect
146. #17984810	C₂²	semidirect
147. C₄×D₅₅₆	C₂²	semidirect
148. C₄×D₅₅₆	C₂²	semidirect
149. C₄×D₅₅₆	C₂²	semidirect
150. C₄×D₅₅₆	C₂²	semidirect
151. #17984804	C₂²	semidirect
152. #17984804	C₂²	semidirect
153. C₄×C₂²⋊D₁₃₉	C₂²	semidirect
154. C₄×C₂²⋊D₁₃₉	C₂²	semidirect
155. C₄×C₂²⋊D₁₃₉	C₂²	semidirect
156. C₄×C₂²⋊D₁₃₉	C₂²	semidirect
157. (C₂²⋊D₁₃₉)⋊C₄	C₂²	semidirect
158. (C₂²⋊D₁₃₉)⋊C₄	C₂²	semidirect
159. #17984800	C₂²	semidirect
160. #17984799	C₂²	semidirect
161. C₂×Dic₁₃₉⋊C₄	C₂²	semidirect
162. C₄⋊C₄×D₁₃₉	C₂²	semidirect
163. C₂×(C₂×D₁₃₉)⋊C₄	C₂²	semidirect
164. C₂×(C₂×D₁₃₉)⋊C₄	C₂²	semidirect
165. C₂×(C₂×D₁₃₉)⋊C₄	C₂²	semidirect
166. C₂×(C₂×D₁₃₉)⋊C₄	C₂²	semidirect
167. C₂×(C₂×D₁₃₉)⋊C₄	C₂²	semidirect
168. C₂²⋊C₄×D₁₃₉	C₂²	semidirect
169. C₂²⋊C₄×D₁₃₉	C₂²	semidirect
170. C₂²⋊C₄×D₁₃₉	C₂²	semidirect
171. C₂²⋊C₄×D₁₃₉	C₂²	semidirect
172. #126×C₁₃₉	C₂²	semidirect
173. #126×C₁₃₉	C₂²	semidirect
174. #125×C₁₃₉	C₂²	semidirect
175. #123×C₁₃₉	C₂²	semidirect
176. #123×C₁₃₉	C₂²	semidirect
177. #121×C₁₃₉	C₂²	semidirect
178. #121×C₁₃₉	C₂²	semidirect
179. #121×C₁₃₉	C₂²	semidirect
180. #121×C₁₃₉	C₂²	semidirect
181. C₄×D₄×C₁₃₉	C₂²	semidirect
182. C₄×D₄×C₁₃₉	C₂²	semidirect
183. C₄×D₄×C₁₃₉	C₂²	semidirect
184. C₄×D₄×C₁₃₉	C₂²	semidirect
185. #117×C₁₃₉	C₂²	semidirect
186. C₂×C₄⋊C₄×C₁₃₉	C₂²	semidirect
540. C₁₃₉	#3534	semidirect
547. #553	D₁₃₉	semidirect
593. #126	C₂×D₁₃₉	semidirect
594. #126	C₂×D₁₃₉	semidirect
598. #125	C₂×D₁₃₉	semidirect
631. #123	C₂×D₁₃₉	semidirect
632. #123	C₂×D₁₃₉	semidirect
677. #121	C₂×D₁₃₉	semidirect
678. #121	C₂×D₁₃₉	semidirect
679. #121	C₂×D₁₃₉	semidirect
680. #121	C₂×D₁₃₉	semidirect
709. C₄×D₄	C₂×D₁₃₉	semidirect
710. C₄×D₄	C₂×D₁₃₉	semidirect
711. C₄×D₄	C₂×D₁₃₉	semidirect
712. C₄×D₄	C₂×D₁₃₉	semidirect
715. #117	C₂×D₁₃₉	semidirect
718. C₂×C₄⋊C₄	C₂×D₁₃₉	semidirect

Maximal subgroups

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

subgroup	index
#22581701	2
#22581700	2
#22581694	2
#22581691	2
#22581651	2
#22581628	2
#22581627	2
#22581599	2
#22581598	2
#22581595	2
#22581592	2
D₄×D₅₅₆	2
#22581587	2
#22581558	2
#22581555	2
#22581551	2
#22581545	2
#22581544	2
#22581542	2
#22581536	2
#22581530	2
#22581514	2
#22581511	2
#22581462	2
C₂×#17984827	2
#121×D₁₃₉	2
#553×C₁₃₉	2
#3534	139