Subgroups — C₄₁×#62829 #23839030

Order 10496.

6636 conjugacy classes of subgroups.

The subgroup lattice has 1316 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₄₁×#3566	C₂	1	8	yes	maximal, complemented
2	C₄₁×#3564	C₂	1	4	yes	maximal, complemented
3	C₄₁×#3560	C₂	1	4	yes	maximal, complemented
4	C₄₁×#3557	C₂	1	2	yes	maximal, complemented
5	C₄₁×#3551	C₂	1	2	yes	maximal, complemented
6	C₄₁×#3538	C₂	1	1	yes	maximal, characteristic, complemented
7	C₄₁×#3537	C₂	1	1	yes	maximal, characteristic, complemented
8	C₄₁×#3536	C₂	1	2	yes	maximal, complemented
9	C₄₁×#3516	C₂	1	4	yes	maximal, complemented
10	C₄₁×#3515	C₂	1	4	yes	maximal, complemented
11	C₄₁×#3514	C₂	1	4	yes	maximal, complemented
12	C₄₁×#3513	C₂	1	8	yes	maximal, complemented
13	C₄₁×#3513	C₂	1	4	yes	maximal, complemented
14	C₄₁×#3512	C₂	1	2	yes	maximal, complemented
15	C₄₁×#3510	C₂	1	2	yes	maximal, complemented
16	C₄₁×#3493	C₂	1	4	yes	maximal, complemented
17	C₄₁×#3491	C₂	1	4	yes	maximal, complemented
18	C₄₁×#3444	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×C₄₁×#529	C₂	1	2	yes	maximal, complemented
20	C₄₁×#563	C₂²	1	4	yes	complemented
21	C₄₁×#563	C₂²	1	8	yes	complemented
22	C₄₁×#563	C₂²	1	4	yes	complemented
23	C₄₁×#562	C₂²	1	8	yes	complemented
24	C₄₁×#560	C₂²	1	4	yes	—
25	C₄₁×#560	C₂²	1	4	yes	complemented
26	C₄₁×#559	C₂²	1	4	yes	complemented
27	C₄₁×#559	C₂²	1	8	yes	complemented
28	C₄₁×#557	C₂²	1	4	yes	complemented
29	C₄₁×#556	C₂²	1	4	yes	complemented
30	C₄₁×#556	C₂²	1	8	yes	complemented
31	C₄₁×#556	C₂²	1	8	yes	complemented
32	C₄₁×#555	C₂²	1	4	yes	complemented
33	C₄₁×#555	C₂²	1	8	yes	complemented
34	C₄₁×#554	C₂²	1	4	yes	complemented
35	C₄₁×#554	C₂²	1	8	yes	complemented
36	C₄₁×#554	C₂²	1	4	yes	complemented
37	C₄₁×#553	C₂²	1	4	yes	—
38	C₄₁×#553	C₂²	1	4	yes	complemented
39	C₄₁×#553	C₂²	1	8	yes	complemented
40	C₄₁×#553	C₂²	1	8	yes	complemented
41	C₄₁×#553	C₂²	1	8	yes	complemented
42	C₄₁×#553	C₂²	1	8	yes	complemented
43	C₄₁×#553	C₂²	1	8	yes	complemented
44	C₄₁×#552	C₂²	1	4	yes	complemented
45	C₄₁×#552	C₂²	1	8	yes	complemented
46	C₄₁×#552	C₂²	1	8	yes	complemented
47	C₄₁×#552	C₂²	1	8	yes	complemented
48	C₄₁×#552	C₂²	1	8	yes	complemented
49	C₄₁×#552	C₂²	1	8	yes	complemented
50	C₄₁×#552	C₂²	1	8	yes	complemented
51	C₄₁×#552	C₂²	1	4	yes	complemented
52	C₄₁×#551	C₂²	1	4	yes	complemented
53	C₄₁×#551	C₂²	1	8	yes	complemented
54	C₄₁×#551	C₂²	1	8	yes	complemented
55	C₄₁×#551	C₂²	1	8	yes	complemented
56	C₄₁×#551	C₂²	1	8	yes	complemented
57	C₄₁×#551	C₂²	1	8	yes	complemented
58	C₄₁×#551	C₂²	1	8	yes	complemented
59	C₄₁×#551	C₂²	1	4	yes	complemented
60	D₄×Q₈×C₄₁	C₂²	1	4	yes	complemented
61	C₄₁×#548	C₂²	1	4	yes	complemented
62	C₄₁×#548	C₂²	1	4	yes	complemented
63	C₄₁×#547	C₂²	1	8	yes	complemented
64	C₄₁×#547	C₂²	1	4	yes	complemented
65	C₄₁×#546	C₂²	1	4	yes	complemented
66	C₄₁×#546	C₂²	1	8	yes	complemented
67	C₄₁×#546	C₂²	1	8	yes	complemented
68	C₄₁×#546	C₂²	1	8	yes	complemented
69	C₄₁×#546	C₂²	1	4	yes	complemented
70	D₄²×C₄₁	C₂²	1	4	yes	—
71	D₄²×C₄₁	C₂²	1	4	yes	—
72	C₄₁×#544	C₂²	1	4	yes	complemented
73	C₄₁×#543	C₂²	1	4	yes	complemented
74	C₄₁×#542	C₂²	1	8	yes	complemented
75	C₄₁×#542	C₂²	1	4	yes	complemented
76	C₄₁×#542	C₂²	1	8	yes	complemented
77	C₄₁×#542	C₂²	1	8	yes	complemented
78	C₄₁×#542	C₂²	1	4	yes	complemented
79	C₄₁×#541	C₂²	1	2	yes	complemented
80	C₄₁×#541	C₂²	1	8	yes	complemented
81	C₄₁×#541	C₂²	1	8	yes	complemented
82	C₄₁×#541	C₂²	1	2	yes	complemented
83	C₄₁×#540	C₂²	1	2	yes	—
84	C₄₁×#540	C₂²	1	8	yes	complemented
85	C₄₁×#540	C₂²	1	2	yes	complemented
86	C₄₁×#539	C₂²	1	8	yes	complemented
87	C₄₁×#539	C₂²	1	8	yes	complemented
88	C₄₁×#539	C₂²	1	4	yes	complemented
89	C₄₁×#539	C₂²	1	8	yes	complemented
90	C₄₁×#539	C₂²	1	4	yes	complemented
91	C₄₁×#539	C₂²	1	8	yes	complemented
92	C₄₁×#538	C₂²	1	4	yes	—
93	C₄₁×#538	C₂²	1	8	yes	complemented
94	C₄₁×#538	C₂²	1	8	yes	complemented
95	C₄₁×#538	C₂²	1	8	yes	complemented
96	C₄₁×#538	C₂²	1	4	yes	complemented
97	C₄₁×#538	C₂²	1	8	yes	complemented
98	C₄₁×#537	C₂²	1	4	yes	complemented
99	C₄₁×#537	C₂²	1	4	yes	complemented
100	C₄₁×#536	C₂²	1	2	yes	complemented
101	C₄₁×#535	C₂²	1	2	yes	—
102	C₄₁×#534	C₂²	1	4	yes	—
103	C₄₁×#533	C₂²	1	1	yes	characteristic, complemented
104	C₄₁×#533	C₂²	1	2	yes	complemented
105	C₄₁×#533	C₂²	1	2	yes	complemented
106	C₄₁×#532	C₂²	1	1	yes	characteristic, complemented
107	C₄₁×#532	C₂²	1	2	yes	complemented
108	C₄₁×#532	C₂²	1	2	yes	complemented
109	C₄₁×#529	C₂²	1	4	yes	complemented
110	C₄₁×#529	C₂²	1	4	yes	complemented
111	C₄₁×#529	C₂²	1	4	yes	complemented
112	C₄₁×#529	C₂²	1	4	yes	complemented
113	C₄₁×#529	C₂²	1	4	yes	complemented
114	C₄₁×#529	C₂²	1	4	yes	complemented
115	C₄₁×#529	C₂²	1	4	yes	complemented
116	C₄₁×#529	C₂²	1	4	yes	complemented
117	C₄₁×#529	C₂²	1	4	yes	complemented
118	C₄₁×#529	C₂²	1	2	yes	complemented
119	C₄₁×#529	C₂²	1	2	yes	complemented
120	C₄₁×#529	C₂²	1	4	yes	complemented
121	C₄₁×#529	C₂²	1	8	yes	complemented
122	C₄₁×#529	C₂²	1	8	yes	complemented
123	C₄₁×#529	C₂²	1	4	yes	complemented
124	C₄₁×#529	C₂²	1	4	yes	complemented
125	C₂×#126×C₄₁	C₂²	1	4	yes	complemented
126	C₂×#125×C₄₁	C₂²	1	2	yes	complemented
127	C₂×#125×C₄₁	C₂²	1	2	yes	complemented
128	C₂×#124×C₄₁	C₂²	1	2	yes	complemented
129	C₂×#124×C₄₁	C₂²	1	2	yes	complemented
130	C₄₁×#525	C₂²	1	1	yes	characteristic
131	C₄₁×#525	C₂²	1	4	yes	complemented
132	C₄₁×#525	C₂²	1	1	yes	characteristic, complemented
133	C₄₁×#525	C₂²	1	8	yes	complemented
134	C₂×#123×C₄₁	C₂²	1	4	yes	complemented
135	C₂×#123×C₄₁	C₂²	1	8	yes	complemented
136	C₂×C₂²⋊Q₈×C₄₁	C₂²	1	2	yes	complemented
137	C₂×#121×C₄₁	C₂²	1	2	yes	—
138	C₄₁×#520	C₂²	1	8	yes	complemented
139	C₄₁×#520	C₂²	1	4	yes	complemented
140	C₄₁×#519	C₂²	1	2	yes	complemented
141	C₄₁×#518	C₂²	1	8	yes	complemented
142	C₄₁×#518	C₂²	1	2	yes	complemented
143	C₄×#41×C₄₁	C₂²	1	1	yes	characteristic, complemented
144	C₄×#41×C₄₁	C₂²	1	1	yes	characteristic, complemented
145	C₄×#41×C₄₁	C₂²	1	4	yes	complemented
146	C₂×C₄×Q₈×C₄₁	C₂²	1	2	yes	complemented
147	C₂×C₄×D₄×C₄₁	C₂²	1	2	yes	complemented
148	C₂×C₄×D₄×C₄₁	C₂²	1	4	yes	complemented
149	C₂×#117×C₄₁	C₂²	1	4	yes	complemented
150	C₂²×C₄²×C₄₁	C₂²	1	1	yes	characteristic, complemented
151	C₂×#41×C₄₁	C₂³	1	1	yes	characteristic
152	C₂×#41×C₄₁	C₂³	1	1	yes	characteristic
153	C₂×#41×C₄₁	C₂³	1	4	yes	—
154	C₂×#41×C₄₁	C₂³	1	8	yes	—
155	C₂×#41×C₄₁	C₂³	1	4	yes	—
156	C₂²×Q₈×C₄₁	C₂³	1	2	yes	—
157	C₂²×Q₈×C₄₁	C₂³	1	2	yes	—
158	C₂²×D₄×C₄₁	C₂³	1	4	yes	—
159	C₂²×D₄×C₄₁	C₂³	1	2	yes	—
160	C₂²×D₄×C₄₁	C₂³	1	8	yes	—
161	C₂²×D₄×C₄₁	C₂³	1	2	yes	—
162	C₂³×C₄×C₄₁	C₂³	1	2	yes	—
163	C₂³×C₄×C₄₁	C₂³	1	1	yes	characteristic
164	C₂³×C₄×C₄₁	C₂³	1	4	yes	—
165	C₄⋊Q₈×C₄₁	C₂³	1	2	yes	—
166	C₄⋊Q₈×C₄₁	C₂³	1	1	yes	characteristic
167	C₄⋊Q₈×C₄₁	C₂³	1	2	yes	—
168	C₄⋊Q₈×C₄₁	C₂³	1	4	yes	—
169	C₄⋊Q₈×C₄₁	C₂³	1	4	yes	—
170	C₄⋊Q₈×C₄₁	C₂³	1	8	yes	—
171	C₄⋊Q₈×C₄₁	C₂³	1	8	yes	—
172	#127×C₄₁	C₂³	1	1	yes	characteristic
173	#127×C₄₁	C₂³	1	2	yes	—
174	#127×C₄₁	C₂³	1	4	yes	—
175	#126×C₄₁	C₂³	1	8	yes	—
176	#126×C₄₁	C₂³	1	8	yes	—
177	#126×C₄₁	C₂³	1	8	yes	—
178	#126×C₄₁	C₂³	1	8	yes	—
179	#126×C₄₁	C₂³	1	4	yes	—
180	#126×C₄₁	C₂³	1	4	yes	—
181	#126×C₄₁	C₂³	1	8	yes	—
182	#126×C₄₁	C₂³	1	8	yes	—
183	#126×C₄₁	C₂³	1	8	yes	—
184	#126×C₄₁	C₂³	1	8	yes	—
185	#126×C₄₁	C₂³	1	8	yes	—
186	#126×C₄₁	C₂³	1	8	yes	—
187	#126×C₄₁	C₂³	1	8	yes	—
188	#126×C₄₁	C₂³	1	8	yes	—
189	#126×C₄₁	C₂³	1	8	yes	—
190	#126×C₄₁	C₂³	1	8	yes	—
191	#126×C₄₁	C₂³	1	8	yes	—
192	#126×C₄₁	C₂³	1	8	yes	—
193	#125×C₄₁	C₂³	1	4	yes	—
194	#125×C₄₁	C₂³	1	4	yes	—
195	#125×C₄₁	C₂³	1	4	yes	—
196	#125×C₄₁	C₂³	1	4	yes	—
197	#125×C₄₁	C₂³	1	8	yes	—
198	#125×C₄₁	C₂³	1	2	yes	—
199	#125×C₄₁	C₂³	1	2	yes	—
200	#125×C₄₁	C₂³	1	4	yes	—
201	#125×C₄₁	C₂³	1	2	yes	—
202	#125×C₄₁	C₂³	1	8	yes	—
203	#125×C₄₁	C₂³	1	8	yes	—
204	#125×C₄₁	C₂³	1	8	yes	—
205	#125×C₄₁	C₂³	1	8	yes	—
206	#125×C₄₁	C₂³	1	8	yes	—
207	#125×C₄₁	C₂³	1	8	yes	—
208	#125×C₄₁	C₂³	1	8	yes	—
209	#124×C₄₁	C₂³	1	4	yes	—
210	#124×C₄₁	C₂³	1	4	yes	—
211	#124×C₄₁	C₂³	1	4	yes	—
212	#124×C₄₁	C₂³	1	4	yes	—
213	#124×C₄₁	C₂³	1	8	yes	—
214	#124×C₄₁	C₂³	1	4	yes	—
215	#124×C₄₁	C₂³	1	4	yes	—
216	#124×C₄₁	C₂³	1	1	yes	characteristic
217	#124×C₄₁	C₂³	1	1	yes	characteristic
218	#124×C₄₁	C₂³	1	8	yes	—
219	#124×C₄₁	C₂³	1	8	yes	—
220	#124×C₄₁	C₂³	1	4	yes	—
221	#124×C₄₁	C₂³	1	4	yes	—
222	#124×C₄₁	C₂³	1	8	yes	—
223	#124×C₄₁	C₂³	1	8	yes	—
224	#124×C₄₁	C₂³	1	8	yes	—
225	#123×C₄₁	C₂³	1	8	yes	—
226	#123×C₄₁	C₂³	1	4	yes	—
227	#123×C₄₁	C₂³	1	8	yes	—
228	#123×C₄₁	C₂³	1	8	yes	—
229	#123×C₄₁	C₂³	1	8	yes	—
230	#123×C₄₁	C₂³	1	8	yes	—
231	#123×C₄₁	C₂³	1	8	yes	—
232	#123×C₄₁	C₂³	1	8	yes	—
233	#123×C₄₁	C₂³	1	8	yes	—
234	#123×C₄₁	C₂³	1	8	yes	—
235	#123×C₄₁	C₂³	1	8	yes	—
236	#123×C₄₁	C₂³	1	2	yes	—
237	#123×C₄₁	C₂³	1	4	yes	—
238	#123×C₄₁	C₂³	1	2	yes	—
239	#123×C₄₁	C₂³	1	8	yes	—
240	#123×C₄₁	C₂³	1	8	yes	—
241	#123×C₄₁	C₂³	1	8	yes	—
242	#123×C₄₁	C₂³	1	8	yes	—
243	#123×C₄₁	C₂³	1	4	yes	—
244	#123×C₄₁	C₂³	1	4	yes	—
245	#123×C₄₁	C₂³	1	8	yes	—
246	#123×C₄₁	C₂³	1	8	yes	—
247	#123×C₄₁	C₂³	1	8	yes	—
248	#123×C₄₁	C₂³	1	8	yes	—
249	#123×C₄₁	C₂³	1	8	yes	—
250	#123×C₄₁	C₂³	1	8	yes	—
251	C₂²⋊Q₈×C₄₁	C₂³	1	4	yes	—
252	C₂²⋊Q₈×C₄₁	C₂³	1	4	yes	—
253	C₂²⋊Q₈×C₄₁	C₂³	1	4	yes	—
254	C₂²⋊Q₈×C₄₁	C₂³	1	4	yes	—
255	C₂²⋊Q₈×C₄₁	C₂³	1	2	yes	—
256	C₂²⋊Q₈×C₄₁	C₂³	1	4	yes	—
257	C₂²⋊Q₈×C₄₁	C₂³	1	2	yes	—
258	C₂²⋊Q₈×C₄₁	C₂³	1	4	yes	—
259	C₂²⋊Q₈×C₄₁	C₂³	1	8	yes	—
260	C₂²⋊Q₈×C₄₁	C₂³	1	8	yes	—
261	C₂²⋊Q₈×C₄₁	C₂³	1	4	yes	—
262	C₂²⋊Q₈×C₄₁	C₂³	1	4	yes	—
263	C₂²⋊Q₈×C₄₁	C₂³	1	8	yes	—
264	C₂²⋊Q₈×C₄₁	C₂³	1	8	yes	—
265	C₂²⋊Q₈×C₄₁	C₂³	1	8	yes	—
266	C₂²⋊Q₈×C₄₁	C₂³	1	8	yes	—
267	C₂²⋊Q₈×C₄₁	C₂³	1	8	yes	—
268	C₂²⋊Q₈×C₄₁	C₂³	1	8	yes	—
269	C₂²⋊Q₈×C₄₁	C₂³	1	8	yes	—
270	C₂²⋊Q₈×C₄₁	C₂³	1	8	yes	—
271	C₂²⋊Q₈×C₄₁	C₂³	1	8	yes	—
272	C₂²⋊Q₈×C₄₁	C₂³	1	8	yes	—
273	C₂²⋊Q₈×C₄₁	C₂³	1	8	yes	—
274	C₂²⋊Q₈×C₄₁	C₂³	1	8	yes	—
275	C₂²⋊Q₈×C₄₁	C₂³	1	8	yes	—
276	#121×C₄₁	C₂³	1	4	yes	—
277	#121×C₄₁	C₂³	1	4	yes	—
278	#121×C₄₁	C₂³	1	4	yes	—
279	#121×C₄₁	C₂³	1	4	yes	—
280	#121×C₄₁	C₂³	1	2	yes	—
281	#121×C₄₁	C₂³	1	2	yes	—
282	#121×C₄₁	C₂³	1	4	yes	—
283	#121×C₄₁	C₂³	1	4	yes	—
284	#121×C₄₁	C₂³	1	8	yes	—
285	#121×C₄₁	C₂³	1	8	yes	—
286	#121×C₄₁	C₂³	1	8	yes	—
287	#121×C₄₁	C₂³	1	4	yes	—
288	#121×C₄₁	C₂³	1	8	yes	—
289	#121×C₄₁	C₂³	1	4	yes	—
290	#121×C₄₁	C₂³	1	8	yes	—
291	#121×C₄₁	C₂³	1	8	yes	—
292	#121×C₄₁	C₂³	1	8	yes	—
293	#121×C₄₁	C₂³	1	8	yes	—
294	#121×C₄₁	C₂³	1	8	yes	—
295	#121×C₄₁	C₂³	1	8	yes	—
296	#121×C₄₁	C₂³	1	8	yes	—
297	#121×C₄₁	C₂³	1	8	yes	—
298	#121×C₄₁	C₂³	1	8	yes	—
299	#120×C₄₁	C₂³	1	2	yes	—
300	#120×C₄₁	C₂³	1	2	yes	—
301	#120×C₄₁	C₂³	1	8	yes	—
302	#120×C₄₁	C₂³	1	8	yes	—
303	#120×C₄₁	C₂³	1	4	yes	—
304	#120×C₄₁	C₂³	1	8	yes	—
305	#120×C₄₁	C₂³	1	4	yes	—
306	#120×C₄₁	C₂³	1	8	yes	—
307	C₄×Q₈×C₄₁	C₂³	1	4	yes	—
308	C₄×Q₈×C₄₁	C₂³	1	4	yes	—
309	C₄×Q₈×C₄₁	C₂³	1	4	yes	—
310	C₄×Q₈×C₄₁	C₂³	1	4	yes	—
311	C₄×Q₈×C₄₁	C₂³	1	4	yes	—
312	C₄×Q₈×C₄₁	C₂³	1	2	yes	—
313	C₄×Q₈×C₄₁	C₂³	1	4	yes	—
314	C₄×Q₈×C₄₁	C₂³	1	2	yes	—
315	C₄×Q₈×C₄₁	C₂³	1	8	yes	—
316	C₄×Q₈×C₄₁	C₂³	1	4	yes	—
317	C₄×Q₈×C₄₁	C₂³	1	4	yes	—
318	C₄×Q₈×C₄₁	C₂³	1	8	yes	—
319	C₄×Q₈×C₄₁	C₂³	1	8	yes	—
320	C₄×D₄×C₄₁	C₂³	1	8	yes	—
321	C₄×D₄×C₄₁	C₂³	1	4	yes	—
322	C₄×D₄×C₄₁	C₂³	1	4	yes	—
323	C₄×D₄×C₄₁	C₂³	1	8	yes	—
324	C₄×D₄×C₄₁	C₂³	1	8	yes	—
325	C₄×D₄×C₄₁	C₂³	1	4	yes	—
326	C₄×D₄×C₄₁	C₂³	1	4	yes	—
327	C₄×D₄×C₄₁	C₂³	1	8	yes	—
328	C₄×D₄×C₄₁	C₂³	1	4	yes	—
329	C₄×D₄×C₄₁	C₂³	1	4	yes	—
330	C₄×D₄×C₄₁	C₂³	1	4	yes	—
331	C₄×D₄×C₄₁	C₂³	1	4	yes	—
332	C₄×D₄×C₄₁	C₂³	1	4	yes	—
333	C₄×D₄×C₄₁	C₂³	1	4	yes	—
334	C₄×D₄×C₄₁	C₂³	1	4	yes	—
335	C₄×D₄×C₄₁	C₂³	1	4	yes	—
336	C₄×D₄×C₄₁	C₂³	1	2	yes	—
337	C₄×D₄×C₄₁	C₂³	1	2	yes	—
338	C₄×D₄×C₄₁	C₂³	1	8	yes	—
339	C₄×D₄×C₄₁	C₂³	1	8	yes	—
340	C₄×D₄×C₄₁	C₂³	1	8	yes	—
341	C₄×D₄×C₄₁	C₂³	1	8	yes	—
342	C₄×D₄×C₄₁	C₂³	1	8	yes	—
343	C₄×D₄×C₄₁	C₂³	1	8	yes	—
344	C₄×D₄×C₄₁	C₂³	1	4	yes	—
345	C₄×D₄×C₄₁	C₂³	1	8	yes	—
346	C₄×D₄×C₄₁	C₂³	1	8	yes	—
347	C₄×D₄×C₄₁	C₂³	1	8	yes	—
348	C₄×D₄×C₄₁	C₂³	1	8	yes	—
349	C₄×D₄×C₄₁	C₂³	1	8	yes	—
350	C₄×D₄×C₄₁	C₂³	1	8	yes	—
351	C₄×D₄×C₄₁	C₂³	1	4	yes	—
352	C₄×D₄×C₄₁	C₂³	1	8	yes	—
353	#117×C₄₁	C₂³	1	8	yes	—
354	#117×C₄₁	C₂³	1	8	yes	—
355	#117×C₄₁	C₂³	1	8	yes	—
356	#117×C₄₁	C₂³	1	8	yes	—
357	#117×C₄₁	C₂³	1	2	yes	—
358	#117×C₄₁	C₂³	1	2	yes	—
359	#117×C₄₁	C₂³	1	1	yes	characteristic
360	#117×C₄₁	C₂³	1	1	yes	characteristic
361	#117×C₄₁	C₂³	1	4	yes	—
362	#117×C₄₁	C₂³	1	4	yes	—
363	#117×C₄₁	C₂³	1	4	yes	—
364	#117×C₄₁	C₂³	1	8	yes	—
365	#117×C₄₁	C₂³	1	8	yes	—
366	#117×C₄₁	C₂³	1	2	yes	—
367	#117×C₄₁	C₂³	1	8	yes	—
368	#117×C₄₁	C₂³	1	2	yes	—
369	#117×C₄₁	C₂³	1	8	yes	—
370	#117×C₄₁	C₂³	1	8	yes	—
371	#117×C₄₁	C₂³	1	8	yes	—
372	#117×C₄₁	C₂³	1	8	yes	—
373	C₂×C₄⋊C₄×C₄₁	C₂³	1	4	yes	—
374	C₂×C₄⋊C₄×C₄₁	C₂³	1	4	yes	—
375	C₂×C₄⋊C₄×C₄₁	C₂³	1	2	yes	—
376	C₂×C₄⋊C₄×C₄₁	C₂³	1	4	yes	—
377	C₂×C₄⋊C₄×C₄₁	C₂³	1	2	yes	—
378	C₂×C₄⋊C₄×C₄₁	C₂³	1	4	yes	—
379	C₂×C₄⋊C₄×C₄₁	C₂³	1	8	yes	—
380	C₂×C₄⋊C₄×C₄₁	C₂³	1	8	yes	—
381	C₂×C₄⋊C₄×C₄₁	C₂³	1	4	yes	—
382	C₂×C₄⋊C₄×C₄₁	C₂³	1	8	yes	—
383	C₂×C₂²⋊C₄×C₄₁	C₂³	1	4	yes	—
384	C₂×C₂²⋊C₄×C₄₁	C₂³	1	4	yes	—
385	C₂×C₂²⋊C₄×C₄₁	C₂³	1	4	yes	—
386	C₂×C₂²⋊C₄×C₄₁	C₂³	1	4	yes	—
387	C₂×C₂²⋊C₄×C₄₁	C₂³	1	4	yes	—
388	C₂×C₂²⋊C₄×C₄₁	C₂³	1	8	yes	—
389	C₂×C₂²⋊C₄×C₄₁	C₂³	1	8	yes	—
390	C₂×C₂²⋊C₄×C₄₁	C₂³	1	8	yes	—
391	C₂×C₂²⋊C₄×C₄₁	C₂³	1	8	yes	—
392	C₂×C₄²×C₄₁	C₂³	1	2	yes	—
393	C₂×C₄²×C₄₁	C₂³	1	2	yes	—
394	C₂×C₄²×C₄₁	C₂³	1	2	yes	—
395	C₂×C₄²×C₄₁	C₂³	1	1	yes	characteristic
396	C₂×C₄²×C₄₁	C₂³	1	2	yes	—
397	C₂×C₄²×C₄₁	C₂³	1	2	yes	—
398	C₂×C₄²×C₄₁	C₂³	1	1	yes	characteristic
399	C₂×C₄²×C₄₁	C₂³	1	4	yes	—
400	C₂×C₄²×C₄₁	C₂³	1	2	yes	—
401	C₂×C₄²×C₄₁	C₂³	1	2	yes	—
402	C₂⁴×C₄₁	C₂⁴	1	1	yes	characteristic
403	C₂⁴×C₄₁	C₂⁴	1	4	yes	—
404	C₂⁴×C₄₁	C₂⁴	1	4	yes	—
405	#41×C₄₁	—	4	2	no	—
406	#41×C₄₁	—	4	2	no	—
407	#41×C₄₁	—	4	8	no	—
408	#41×C₄₁	—	4	16	no	—
409	#41×C₄₁	—	4	8	no	—
410	C₂×Q₈×C₄₁	—	4	4	no	—
411	C₂×Q₈×C₄₁	—	4	4	no	—
412	C₂×Q₈×C₄₁	C₂⁴	1	4	yes	—
413	C₂×Q₈×C₄₁	C₂⁴	1	1	yes	characteristic
414	C₂×Q₈×C₄₁	C₂⁴	1	8	yes	—
415	C₂×Q₈×C₄₁	C₂⁴	1	4	yes	—
416	C₂×Q₈×C₄₁	C₂⁴	1	4	yes	—
417	C₂×Q₈×C₄₁	C₂⁴	1	4	yes	—
418	C₂×Q₈×C₄₁	C₂⁴	1	1	yes	characteristic
419	C₂×D₄×C₄₁	—	4	4	no	—
420	C₂×D₄×C₄₁	—	4	4	no	—
421	C₂×D₄×C₄₁	—	4	8	no	—
422	C₂×D₄×C₄₁	—	4	16	no	—
423	C₂×D₄×C₄₁	C₂⁴	1	4	yes	—
424	C₂×D₄×C₄₁	C₂⁴	1	8	yes	—
425	C₂×D₄×C₄₁	C₂⁴	1	4	yes	—
426	C₂×D₄×C₄₁	C₂⁴	1	4	yes	—
427	C₂×D₄×C₄₁	C₂⁴	1	1	yes	characteristic
428	C₂×D₄×C₄₁	C₂⁴	1	2	yes	—
429	C₂×D₄×C₄₁	C₂⁴	1	8	yes	—
430	C₂×D₄×C₄₁	C₂⁴	1	8	yes	—
431	C₂×D₄×C₄₁	C₂⁴	1	4	yes	—
432	C₂×D₄×C₄₁	C₂⁴	1	4	yes	—
433	C₂×D₄×C₄₁	C₂⁴	1	8	yes	—
434	C₂×D₄×C₄₁	C₂⁴	1	8	yes	—
435	C₂×D₄×C₄₁	C₂⁴	1	4	yes	—
436	C₂×D₄×C₄₁	C₂⁴	1	2	yes	—
437	C₂×D₄×C₄₁	C₂⁴	1	8	yes	—
438	C₂×D₄×C₄₁	C₂⁴	1	1	yes	characteristic
439	C₂²×C₄×C₄₁	—	4	2	no	—
440	C₂²×C₄×C₄₁	—	4	4	no	—
441	C₂²×C₄×C₄₁	—	4	8	no	—
442	C₂²×C₄×C₄₁	C₂⁴	1	2	yes	—
443	C₂²×C₄×C₄₁	C₂⁴	1	2	yes	—
444	C₂²×C₄×C₄₁	C₂⁴	1	2	yes	—
445	C₂²×C₄×C₄₁	C₂⁴	1	1	yes	characteristic
446	C₂²×C₄×C₄₁	C₂⁴	1	2	yes	—
447	C₂²×C₄×C₄₁	C₂⁴	1	2	yes	—
448	C₂²×C₄×C₄₁	C₂⁴	1	4	yes	—
449	C₂²×C₄×C₄₁	C₂⁴	1	2	yes	—
450	C₂²×C₄×C₄₁	C₂⁴	1	2	yes	—
451	C₂²×C₄×C₄₁	C₂⁴	1	2	yes	—
452	C₂²×C₄×C₄₁	C₂⁴	1	2	yes	—
453	C₂²×C₄×C₄₁	C₂⁴	1	2	yes	—
454	C₂²×C₄×C₄₁	C₂⁴	1	1	yes	characteristic
455	C₂²×C₄×C₄₁	C₂⁴	1	4	yes	—
456	C₂²×C₄×C₄₁	C₂⁴	1	4	yes	—
457	C₂²×C₄×C₄₁	C₂⁴	1	4	yes	—
458	C₂²×C₄×C₄₁	C₂⁴	1	4	yes	—
459	C₂²×C₄×C₄₁	C₂⁴	1	8	yes	—
460	C₂²×C₄×C₄₁	C₂⁴	1	8	yes	—
461	C₂²×C₄×C₄₁	C₂⁴	1	4	yes	—
462	C₂²×C₄×C₄₁	C₂⁴	1	8	yes	—
463	C₂²×C₄×C₄₁	C₂⁴	1	8	yes	—
464	C₂²×C₄×C₄₁	C₂⁴	1	8	yes	—
465	C₂²×C₄×C₄₁	C₂⁴	1	8	yes	—
466	C₄⋊C₄×C₄₁	C₂⁴	1	8	yes	—
467	C₄⋊C₄×C₄₁	C₂⁴	1	8	yes	—
468	C₄⋊C₄×C₄₁	C₂⁴	1	4	yes	—
469	C₄⋊C₄×C₄₁	C₂⁴	1	4	yes	—
470	C₄⋊C₄×C₄₁	C₂⁴	1	8	yes	—
471	C₄⋊C₄×C₄₁	C₂⁴	1	4	yes	—
472	C₄⋊C₄×C₄₁	C₂⁴	1	8	yes	—
473	C₄⋊C₄×C₄₁	C₂⁴	1	4	yes	—
474	C₄⋊C₄×C₄₁	C₂⁴	1	8	yes	—
475	C₄⋊C₄×C₄₁	C₂⁴	1	8	yes	—
476	C₄⋊C₄×C₄₁	C₂⁴	1	8	yes	—
477	C₄⋊C₄×C₄₁	C₂⁴	1	8	yes	—
478	C₄⋊C₄×C₄₁	C₂⁴	1	8	yes	—
479	C₄⋊C₄×C₄₁	C₂⁴	1	4	yes	—
480	C₄⋊C₄×C₄₁	C₂⁴	1	8	yes	—
481	C₄⋊C₄×C₄₁	C₂⁴	1	8	yes	—
482	C₄⋊C₄×C₄₁	C₂⁴	1	8	yes	—
483	C₄⋊C₄×C₄₁	C₂⁴	1	4	yes	—
484	C₄⋊C₄×C₄₁	C₂⁴	1	8	yes	—
485	C₄⋊C₄×C₄₁	C₂⁴	1	4	yes	—
486	C₄⋊C₄×C₄₁	C₂⁴	1	8	yes	—
487	C₄⋊C₄×C₄₁	C₂⁴	1	4	yes	—
488	C₄⋊C₄×C₄₁	C₂⁴	1	8	yes	—
489	C₄⋊C₄×C₄₁	C₂⁴	1	8	yes	—
490	C₄⋊C₄×C₄₁	C₂⁴	1	4	yes	—
491	C₄⋊C₄×C₄₁	C₂⁴	1	2	yes	—
492	C₄⋊C₄×C₄₁	C₂⁴	1	4	yes	—
493	C₄⋊C₄×C₄₁	C₂⁴	1	4	yes	—
494	C₄⋊C₄×C₄₁	C₂⁴	1	2	yes	—
495	C₄⋊C₄×C₄₁	C₂⁴	1	4	yes	—
496	C₄⋊C₄×C₄₁	C₂⁴	1	8	yes	—
497	C₂²⋊C₄×C₄₁	C₂⁴	1	8	yes	—
498	C₂²⋊C₄×C₄₁	C₂⁴	1	8	yes	—
499	C₂²⋊C₄×C₄₁	C₂⁴	1	4	yes	—
500	C₂²⋊C₄×C₄₁	C₂⁴	1	8	yes	—
501	C₂²⋊C₄×C₄₁	C₂⁴	1	4	yes	—
502	C₂²⋊C₄×C₄₁	C₂⁴	1	8	yes	—
503	C₂²⋊C₄×C₄₁	C₂⁴	1	4	yes	—
504	C₂²⋊C₄×C₄₁	C₂⁴	1	8	yes	—
505	C₂²⋊C₄×C₄₁	C₂⁴	1	4	yes	—
506	C₂²⋊C₄×C₄₁	C₂⁴	1	8	yes	—
507	C₂²⋊C₄×C₄₁	C₂⁴	1	8	yes	—
508	C₂²⋊C₄×C₄₁	C₂⁴	1	8	yes	—
509	C₂²⋊C₄×C₄₁	C₂⁴	1	8	yes	—
510	C₂²⋊C₄×C₄₁	C₂⁴	1	8	yes	—
511	C₂²⋊C₄×C₄₁	C₂⁴	1	8	yes	—
512	C₂²⋊C₄×C₄₁	C₂⁴	1	8	yes	—
513	C₂²⋊C₄×C₄₁	C₂⁴	1	8	yes	—
514	C₂²⋊C₄×C₄₁	C₂⁴	1	8	yes	—
515	C₂²⋊C₄×C₄₁	C₂⁴	1	8	yes	—
516	C₂²⋊C₄×C₄₁	C₂⁴	1	4	yes	—
517	C₂²⋊C₄×C₄₁	C₂⁴	1	4	yes	—
518	C₂²⋊C₄×C₄₁	C₂⁴	1	4	yes	—
519	C₂²⋊C₄×C₄₁	C₂⁴	1	4	yes	—
520	C₂²⋊C₄×C₄₁	C₂⁴	1	8	yes	—
521	C₂²⋊C₄×C₄₁	C₂⁴	1	8	yes	—
522	C₂²⋊C₄×C₄₁	C₂⁴	1	4	yes	—
523	C₂²⋊C₄×C₄₁	C₂⁴	1	2	yes	—
524	C₂²⋊C₄×C₄₁	C₂⁴	1	2	yes	—
525	C₂²⋊C₄×C₄₁	C₂⁴	1	8	yes	—
526	C₂²⋊C₄×C₄₁	C₂⁴	1	4	yes	—
527	C₄²×C₄₁	C₂⁴	1	1	yes	characteristic
528	C₄²×C₄₁	C₂⁴	1	1	yes	characteristic
529	C₄²×C₄₁	C₂⁴	1	2	yes	—
530	C₄²×C₄₁	C₂⁴	1	1	yes	characteristic
531	C₄²×C₄₁	C₂⁴	1	2	yes	—
532	C₄²×C₄₁	C₂⁴	1	2	yes	—
533	C₄²×C₄₁	C₂⁴	1	2	yes	—
534	C₄²×C₄₁	C₂⁴	1	2	yes	—
535	C₄²×C₄₁	C₂⁴	1	2	yes	—
536	C₄²×C₄₁	C₂⁴	1	1	yes	characteristic
537	C₄²×C₄₁	C₂⁴	1	4	yes	—
538	C₄²×C₄₁	C₂⁴	1	8	yes	—
539	C₄²×C₄₁	C₂⁴	1	8	yes	—
540	C₄²×C₄₁	C₂⁴	1	4	yes	—
541	C₄²×C₄₁	C₂⁴	1	2	yes	—
542	C₄²×C₄₁	C₂⁴	1	2	yes	—
543	C₄²×C₄₁	C₂⁴	1	4	yes	—
544	C₄²×C₄₁	C₂⁴	1	8	yes	—
545	C₄²×C₄₁	C₂⁴	1	8	yes	—
546	C₄²×C₄₁	C₂⁴	1	4	yes	—
547	C₂³×C₄₁	—	2	4	no	—
548	C₂³×C₄₁	—	2	8	no	—
549	C₂³×C₄₁	—	4	1	no	—
550	C₂³×C₄₁	—	4	4	no	—
551	C₂³×C₄₁	—	4	4	no	—
552	C₂³×C₄₁	—	4	4	no	—
553	C₂³×C₄₁	—	4	8	no	—
554	C₂³×C₄₁	C₂⁵	1	2	yes	—
555	C₂³×C₄₁	C₂⁵	1	8	yes	—
556	C₂³×C₄₁	C₂⁵	1	1	yes	characteristic
557	C₂³×C₄₁	C₂⁵	1	2	yes	—
558	C₂³×C₄₁	C₂⁵	1	2	yes	—
559	Q₈×C₄₁	—	2	8	no	—
560	Q₈×C₄₁	—	4	4	no	—
561	Q₈×C₄₁	—	4	4	no	—
562	Q₈×C₄₁	—	4	1	no	—
563	Q₈×C₄₁	—	4	8	no	—
564	Q₈×C₄₁	—	4	1	no	—
565	Q₈×C₄₁	—	4	4	no	—
566	D₄×C₄₁	—	2	16	no	—
567	D₄×C₄₁	—	2	8	no	—
568	D₄×C₄₁	—	2	8	no	—
569	D₄×C₄₁	—	2	8	no	—
570	D₄×C₄₁	—	4	4	no	—
571	D₄×C₄₁	—	4	4	no	—
572	D₄×C₄₁	—	4	8	no	—
573	D₄×C₄₁	—	4	8	no	—
574	D₄×C₄₁	—	4	8	no	—
575	D₄×C₄₁	—	4	2	no	—
576	D₄×C₄₁	—	4	8	no	—
577	D₄×C₄₁	—	4	1	no	—
578	D₄×C₄₁	—	4	1	no	—
579	D₄×C₄₁	—	4	4	no	—
580	D₄×C₄₁	—	4	2	no	—
581	D₄×C₄₁	—	4	8	no	—
582	C₂×C₄×C₄₁	—	2	4	no	—
583	C₂×C₄×C₄₁	—	2	4	no	—
584	C₂×C₄×C₄₁	—	2	8	no	—
585	C₂×C₄×C₄₁	—	2	4	no	—
586	C₂×C₄×C₄₁	—	2	2	no	—
587	C₂×C₄×C₄₁	—	2	4	no	—
588	C₂×C₄×C₄₁	—	2	4	no	—
589	C₂×C₄×C₄₁	—	4	2	no	—
590	C₂×C₄×C₄₁	—	4	2	no	—
591	C₂×C₄×C₄₁	—	4	8	no	—
592	C₂×C₄×C₄₁	—	4	8	no	—
593	C₂×C₄×C₄₁	—	4	2	no	—
594	C₂×C₄×C₄₁	—	4	2	no	—
595	C₂×C₄×C₄₁	—	4	2	no	—
596	C₂×C₄×C₄₁	—	4	1	no	—
597	C₂×C₄×C₄₁	—	4	4	no	—
598	C₂×C₄×C₄₁	—	4	8	no	—
599	C₂×C₄×C₄₁	—	4	4	no	—
600	C₂×C₄×C₄₁	—	4	4	no	—
601	C₂×C₄×C₄₁	—	4	4	no	—
602	C₂×C₄×C₄₁	—	4	4	no	—
603	C₂×C₄×C₄₁	—	4	8	no	—
604	C₂×C₄×C₄₁	—	4	8	no	—
605	C₂×C₄×C₄₁	—	4	8	no	—
606	C₂×C₄×C₄₁	C₂⁵	1	2	yes	—
607	C₂×C₄×C₄₁	C₂⁵	1	2	yes	—
608	C₂×C₄×C₄₁	C₂⁵	1	2	yes	—
609	C₂×C₄×C₄₁	C₂⁵	1	2	yes	—
610	C₂×C₄×C₄₁	C₂⁵	1	4	yes	—
611	C₂×C₄×C₄₁	C₂⁵	1	8	yes	—
612	C₂×C₄×C₄₁	C₂⁵	1	1	yes	characteristic
613	C₂×C₄×C₄₁	C₂⁵	1	2	yes	—
614	C₂×C₄×C₄₁	C₂⁵	1	2	yes	—
615	C₂×C₄×C₄₁	C₂⁵	1	4	yes	—
616	C₂×C₄×C₄₁	C₂⁵	1	8	yes	—
617	C₂×C₄×C₄₁	C₂⁵	1	2	yes	—
618	C₂×C₄×C₄₁	C₂⁵	1	8	yes	—
619	C₂×C₄×C₄₁	C₂⁵	1	1	yes	characteristic
620	#62829	C₄₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
621	C₂²×C₄₁	—	2	2	no	—
622	C₂²×C₄₁	—	2	2	no	—
623	C₂²×C₄₁	—	2	2	no	—
624	C₂²×C₄₁	—	2	1	no	—
625	C₂²×C₄₁	—	2	2	no	—
626	C₂²×C₄₁	—	2	4	no	—
627	C₂²×C₄₁	—	2	8	no	—
628	C₂²×C₄₁	—	2	2	no	—
629	C₂²×C₄₁	—	2	8	no	—
630	C₂²×C₄₁	—	2	8	no	—
631	C₂²×C₄₁	—	2	4	no	—
632	C₂²×C₄₁	—	4	4	no	—
633	C₂²×C₄₁	—	8	8	no	—
634	C₂²×C₄₁	—	16	4	no	—
635	C₂²×C₄₁	#585	1	4	yes	—
636	C₂²×C₄₁	C₂⁶	1	1	yes	characteristic
637	C₄×C₄₁	—	2	2	no	—
638	C₄×C₄₁	—	2	2	no	—
639	C₄×C₄₁	—	2	2	no	—
640	C₄×C₄₁	—	2	8	no	—
641	C₄×C₄₁	—	2	2	no	—
642	C₄×C₄₁	—	2	2	no	—
643	C₄×C₄₁	—	2	2	no	—
644	C₄×C₄₁	—	2	1	no	—
645	C₄×C₄₁	—	2	2	no	—
646	C₄×C₄₁	—	2	8	no	—
647	C₄×C₄₁	—	2	4	no	—
648	C₄×C₄₁	—	2	4	no	—
649	C₄×C₄₁	—	2	8	no	—
650	C₄×C₄₁	#585	1	2	yes	—
651	#3566	C₂×C₄₁	1	8	yes	complemented
652	#3564	C₂×C₄₁	1	4	yes	complemented
653	#3560	C₂×C₄₁	1	4	yes	complemented
654	#3557	C₂×C₄₁	1	2	yes	complemented
655	#3551	C₂×C₄₁	1	2	yes	complemented
656	#3538	C₂×C₄₁	1	1	yes	characteristic, complemented
657	#3537	C₂×C₄₁	1	1	yes	characteristic, complemented
658	#3536	C₂×C₄₁	1	2	yes	complemented
659	#3516	C₂×C₄₁	1	4	yes	complemented
660	#3515	C₂×C₄₁	1	4	yes	complemented
661	#3514	C₂×C₄₁	1	4	yes	complemented
662	#3513	C₂×C₄₁	1	8	yes	complemented
663	#3513	C₂×C₄₁	1	4	yes	complemented
664	#3512	C₂×C₄₁	1	2	yes	complemented
665	#3510	C₂×C₄₁	1	2	yes	complemented
666	#3493	C₂×C₄₁	1	4	yes	complemented
667	#3491	C₂×C₄₁	1	4	yes	complemented
668	#3444	C₂×C₄₁	1	1	yes	characteristic, complemented
669	C₂×#529	C₂×C₄₁	1	2	yes	complemented
670	C₂×C₄₁	—	2	4	no	—
671	C₂×C₄₁	—	4	2	no	—
672	C₂×C₄₁	—	4	1	no	—
673	C₂×C₄₁	—	4	8	no	—
674	C₂×C₄₁	—	4	2	no	—
675	C₂×C₄₁	C₂×#585	1	2	yes	—
676	C₂×C₄₁	C₂×#585	1	1	yes	characteristic
677	#563	C₂²×C₄₁	1	4	yes	complemented
678	#563	C₂²×C₄₁	1	4	yes	complemented
679	#563	C₂²×C₄₁	1	8	yes	complemented
680	#562	C₂²×C₄₁	1	8	yes	complemented
681	#560	C₂²×C₄₁	1	4	yes	—
682	#560	C₂²×C₄₁	1	4	yes	complemented
683	#559	C₂²×C₄₁	1	8	yes	complemented
684	#559	C₂²×C₄₁	1	4	yes	complemented
685	#557	C₂²×C₄₁	1	4	yes	complemented
686	#556	C₂²×C₄₁	1	8	yes	complemented
687	#556	C₂²×C₄₁	1	8	yes	complemented
688	#556	C₂²×C₄₁	1	4	yes	complemented
689	#555	C₂²×C₄₁	1	4	yes	complemented
690	#555	C₂²×C₄₁	1	8	yes	complemented
691	#554	C₂²×C₄₁	1	4	yes	complemented
692	#554	C₂²×C₄₁	1	8	yes	complemented
693	#554	C₂²×C₄₁	1	4	yes	complemented
694	#553	C₂²×C₄₁	1	4	yes	—
695	#553	C₂²×C₄₁	1	8	yes	complemented
696	#553	C₂²×C₄₁	1	8	yes	complemented
697	#553	C₂²×C₄₁	1	8	yes	complemented
698	#553	C₂²×C₄₁	1	8	yes	complemented
699	#553	C₂²×C₄₁	1	4	yes	complemented
700	#553	C₂²×C₄₁	1	8	yes	complemented
701	#552	C₂²×C₄₁	1	8	yes	complemented
702	#552	C₂²×C₄₁	1	8	yes	complemented
703	#552	C₂²×C₄₁	1	8	yes	complemented
704	#552	C₂²×C₄₁	1	8	yes	complemented
705	#552	C₂²×C₄₁	1	8	yes	complemented
706	#552	C₂²×C₄₁	1	4	yes	complemented
707	#552	C₂²×C₄₁	1	8	yes	complemented
708	#552	C₂²×C₄₁	1	4	yes	complemented
709	#551	C₂²×C₄₁	1	4	yes	complemented
710	#551	C₂²×C₄₁	1	8	yes	complemented
711	#551	C₂²×C₄₁	1	8	yes	complemented
712	#551	C₂²×C₄₁	1	8	yes	complemented
713	#551	C₂²×C₄₁	1	8	yes	complemented
714	#551	C₂²×C₄₁	1	4	yes	complemented
715	#551	C₂²×C₄₁	1	8	yes	complemented
716	#551	C₂²×C₄₁	1	8	yes	complemented
717	D₄×Q₈	C₂²×C₄₁	1	4	yes	complemented
718	#548	C₂²×C₄₁	1	4	yes	complemented
719	#548	C₂²×C₄₁	1	4	yes	complemented
720	#547	C₂²×C₄₁	1	4	yes	complemented
721	#547	C₂²×C₄₁	1	8	yes	complemented
722	#546	C₂²×C₄₁	1	8	yes	complemented
723	#546	C₂²×C₄₁	1	8	yes	complemented
724	#546	C₂²×C₄₁	1	4	yes	complemented
725	#546	C₂²×C₄₁	1	4	yes	complemented
726	#546	C₂²×C₄₁	1	8	yes	complemented
727	D₄²	C₂²×C₄₁	1	4	yes	—
728	D₄²	C₂²×C₄₁	1	4	yes	—
729	#544	C₂²×C₄₁	1	4	yes	complemented
730	#543	C₂²×C₄₁	1	4	yes	complemented
731	#542	C₂²×C₄₁	1	4	yes	complemented
732	#542	C₂²×C₄₁	1	4	yes	complemented
733	#542	C₂²×C₄₁	1	8	yes	complemented
734	#542	C₂²×C₄₁	1	8	yes	complemented
735	#542	C₂²×C₄₁	1	8	yes	complemented
736	#541	C₂²×C₄₁	1	2	yes	complemented
737	#541	C₂²×C₄₁	1	2	yes	complemented
738	#541	C₂²×C₄₁	1	8	yes	complemented
739	#541	C₂²×C₄₁	1	8	yes	complemented
740	#540	C₂²×C₄₁	1	2	yes	—
741	#540	C₂²×C₄₁	1	2	yes	complemented
742	#540	C₂²×C₄₁	1	8	yes	complemented
743	#539	C₂²×C₄₁	1	8	yes	complemented
744	#539	C₂²×C₄₁	1	4	yes	complemented
745	#539	C₂²×C₄₁	1	4	yes	complemented
746	#539	C₂²×C₄₁	1	8	yes	complemented
747	#539	C₂²×C₄₁	1	8	yes	complemented
748	#539	C₂²×C₄₁	1	8	yes	complemented
749	#538	C₂²×C₄₁	1	4	yes	—
750	#538	C₂²×C₄₁	1	8	yes	complemented
751	#538	C₂²×C₄₁	1	4	yes	complemented
752	#538	C₂²×C₄₁	1	8	yes	complemented
753	#538	C₂²×C₄₁	1	8	yes	complemented
754	#538	C₂²×C₄₁	1	8	yes	complemented
755	#537	C₂²×C₄₁	1	4	yes	complemented
756	#537	C₂²×C₄₁	1	4	yes	complemented
757	#536	C₂²×C₄₁	1	2	yes	complemented
758	#535	C₂²×C₄₁	1	2	yes	—
759	#534	C₂²×C₄₁	1	4	yes	—
760	#533	C₂²×C₄₁	1	1	yes	characteristic, complemented
761	#533	C₂²×C₄₁	1	2	yes	complemented
762	#533	C₂²×C₄₁	1	2	yes	complemented
763	#532	C₂²×C₄₁	1	1	yes	characteristic, complemented
764	#532	C₂²×C₄₁	1	2	yes	complemented
765	#532	C₂²×C₄₁	1	2	yes	complemented
766	#529	C₂²×C₄₁	1	4	yes	complemented
767	#529	C₂²×C₄₁	1	4	yes	complemented
768	#529	C₂²×C₄₁	1	4	yes	complemented
769	#529	C₂²×C₄₁	1	4	yes	complemented
770	#529	C₂²×C₄₁	1	4	yes	complemented
771	#529	C₂²×C₄₁	1	4	yes	complemented
772	#529	C₂²×C₄₁	1	4	yes	complemented
773	#529	C₂²×C₄₁	1	4	yes	complemented
774	#529	C₂²×C₄₁	1	2	yes	complemented
775	#529	C₂²×C₄₁	1	2	yes	complemented
776	#529	C₂²×C₄₁	1	4	yes	complemented
777	#529	C₂²×C₄₁	1	4	yes	complemented
778	#529	C₂²×C₄₁	1	8	yes	complemented
779	#529	C₂²×C₄₁	1	8	yes	complemented
780	#529	C₂²×C₄₁	1	4	yes	complemented
781	#529	C₂²×C₄₁	1	4	yes	complemented
782	C₂×#126	C₂²×C₄₁	1	4	yes	complemented
783	C₂×#125	C₂²×C₄₁	1	2	yes	complemented
784	C₂×#125	C₂²×C₄₁	1	2	yes	complemented
785	C₂×#124	C₂²×C₄₁	1	2	yes	complemented
786	C₂×#124	C₂²×C₄₁	1	2	yes	complemented
787	#525	C₂²×C₄₁	1	1	yes	characteristic
788	#525	C₂²×C₄₁	1	4	yes	complemented
789	#525	C₂²×C₄₁	1	1	yes	characteristic, complemented
790	#525	C₂²×C₄₁	1	8	yes	complemented
791	C₂×#123	C₂²×C₄₁	1	4	yes	complemented
792	C₂×#123	C₂²×C₄₁	1	8	yes	complemented
793	C₂×C₂²⋊Q₈	C₂²×C₄₁	1	2	yes	complemented
794	C₂×#121	C₂²×C₄₁	1	2	yes	—
795	#520	C₂²×C₄₁	1	8	yes	complemented
796	#520	C₂²×C₄₁	1	4	yes	complemented
797	#519	C₂²×C₄₁	1	2	yes	complemented
798	#518	C₂²×C₄₁	1	8	yes	complemented
799	#518	C₂²×C₄₁	1	2	yes	complemented
800	C₄×#41	C₂²×C₄₁	1	1	yes	characteristic, complemented
801	C₄×#41	C₂²×C₄₁	1	1	yes	characteristic, complemented
802	C₄×#41	C₂²×C₄₁	1	4	yes	complemented
803	C₂×C₄×Q₈	C₂²×C₄₁	1	2	yes	complemented
804	C₂×C₄×D₄	C₂²×C₄₁	1	4	yes	complemented
805	C₂×C₄×D₄	C₂²×C₄₁	1	2	yes	complemented
806	C₂×#117	C₂²×C₄₁	1	4	yes	complemented
807	C₂²×C₄²	C₂²×C₄₁	1	1	yes	characteristic, complemented
808	C₄₁	#62829	1	1	yes	characteristic, direct product factor, Sylow
809	C₂×#41	C₂³×C₄₁	1	1	yes	characteristic
810	C₂×#41	C₂³×C₄₁	1	1	yes	characteristic
811	C₂×#41	C₂³×C₄₁	1	4	yes	—
812	C₂×#41	C₂³×C₄₁	1	8	yes	—
813	C₂×#41	C₂³×C₄₁	1	4	yes	—
814	C₂²×Q₈	C₂³×C₄₁	1	2	yes	—
815	C₂²×Q₈	C₂³×C₄₁	1	2	yes	—
816	C₂²×D₄	C₂³×C₄₁	1	4	yes	—
817	C₂²×D₄	C₂³×C₄₁	1	2	yes	—
818	C₂²×D₄	C₂³×C₄₁	1	8	yes	—
819	C₂²×D₄	C₂³×C₄₁	1	2	yes	—
820	C₂³×C₄	C₂³×C₄₁	1	4	yes	—
821	C₂³×C₄	C₂³×C₄₁	1	2	yes	—
822	C₂³×C₄	C₂³×C₄₁	1	1	yes	characteristic
823	C₄⋊Q₈	C₂³×C₄₁	1	2	yes	—
824	C₄⋊Q₈	C₂³×C₄₁	1	1	yes	characteristic
825	C₄⋊Q₈	C₂³×C₄₁	1	2	yes	—
826	C₄⋊Q₈	C₂³×C₄₁	1	4	yes	—
827	C₄⋊Q₈	C₂³×C₄₁	1	4	yes	—
828	C₄⋊Q₈	C₂³×C₄₁	1	8	yes	—
829	C₄⋊Q₈	C₂³×C₄₁	1	8	yes	—
830	#127	C₂³×C₄₁	1	1	yes	characteristic
831	#127	C₂³×C₄₁	1	2	yes	—
832	#127	C₂³×C₄₁	1	4	yes	—
833	#126	C₂³×C₄₁	1	8	yes	—
834	#126	C₂³×C₄₁	1	8	yes	—
835	#126	C₂³×C₄₁	1	8	yes	—
836	#126	C₂³×C₄₁	1	8	yes	—
837	#126	C₂³×C₄₁	1	4	yes	—
838	#126	C₂³×C₄₁	1	4	yes	—
839	#126	C₂³×C₄₁	1	8	yes	—
840	#126	C₂³×C₄₁	1	8	yes	—
841	#126	C₂³×C₄₁	1	8	yes	—
842	#126	C₂³×C₄₁	1	8	yes	—
843	#126	C₂³×C₄₁	1	8	yes	—
844	#126	C₂³×C₄₁	1	8	yes	—
845	#126	C₂³×C₄₁	1	8	yes	—
846	#126	C₂³×C₄₁	1	8	yes	—
847	#126	C₂³×C₄₁	1	8	yes	—
848	#126	C₂³×C₄₁	1	8	yes	—
849	#126	C₂³×C₄₁	1	8	yes	—
850	#126	C₂³×C₄₁	1	8	yes	—
851	#125	C₂³×C₄₁	1	4	yes	—
852	#125	C₂³×C₄₁	1	4	yes	—
853	#125	C₂³×C₄₁	1	4	yes	—
854	#125	C₂³×C₄₁	1	4	yes	—
855	#125	C₂³×C₄₁	1	8	yes	—
856	#125	C₂³×C₄₁	1	2	yes	—
857	#125	C₂³×C₄₁	1	2	yes	—
858	#125	C₂³×C₄₁	1	4	yes	—
859	#125	C₂³×C₄₁	1	2	yes	—
860	#125	C₂³×C₄₁	1	8	yes	—
861	#125	C₂³×C₄₁	1	8	yes	—
862	#125	C₂³×C₄₁	1	8	yes	—
863	#125	C₂³×C₄₁	1	8	yes	—
864	#125	C₂³×C₄₁	1	8	yes	—
865	#125	C₂³×C₄₁	1	8	yes	—
866	#125	C₂³×C₄₁	1	8	yes	—
867	#124	C₂³×C₄₁	1	4	yes	—
868	#124	C₂³×C₄₁	1	4	yes	—
869	#124	C₂³×C₄₁	1	4	yes	—
870	#124	C₂³×C₄₁	1	4	yes	—
871	#124	C₂³×C₄₁	1	8	yes	—
872	#124	C₂³×C₄₁	1	4	yes	—
873	#124	C₂³×C₄₁	1	4	yes	—
874	#124	C₂³×C₄₁	1	1	yes	characteristic
875	#124	C₂³×C₄₁	1	1	yes	characteristic
876	#124	C₂³×C₄₁	1	8	yes	—
877	#124	C₂³×C₄₁	1	8	yes	—
878	#124	C₂³×C₄₁	1	4	yes	—
879	#124	C₂³×C₄₁	1	4	yes	—
880	#124	C₂³×C₄₁	1	8	yes	—
881	#124	C₂³×C₄₁	1	8	yes	—
882	#124	C₂³×C₄₁	1	8	yes	—
883	#123	C₂³×C₄₁	1	8	yes	—
884	#123	C₂³×C₄₁	1	4	yes	—
885	#123	C₂³×C₄₁	1	8	yes	—
886	#123	C₂³×C₄₁	1	8	yes	—
887	#123	C₂³×C₄₁	1	8	yes	—
888	#123	C₂³×C₄₁	1	8	yes	—
889	#123	C₂³×C₄₁	1	8	yes	—
890	#123	C₂³×C₄₁	1	8	yes	—
891	#123	C₂³×C₄₁	1	8	yes	—
892	#123	C₂³×C₄₁	1	8	yes	—
893	#123	C₂³×C₄₁	1	8	yes	—
894	#123	C₂³×C₄₁	1	2	yes	—
895	#123	C₂³×C₄₁	1	4	yes	—
896	#123	C₂³×C₄₁	1	2	yes	—
897	#123	C₂³×C₄₁	1	8	yes	—
898	#123	C₂³×C₄₁	1	8	yes	—
899	#123	C₂³×C₄₁	1	8	yes	—
900	#123	C₂³×C₄₁	1	8	yes	—
901	#123	C₂³×C₄₁	1	4	yes	—
902	#123	C₂³×C₄₁	1	4	yes	—
903	#123	C₂³×C₄₁	1	8	yes	—
904	#123	C₂³×C₄₁	1	8	yes	—
905	#123	C₂³×C₄₁	1	8	yes	—
906	#123	C₂³×C₄₁	1	8	yes	—
907	#123	C₂³×C₄₁	1	8	yes	—
908	#123	C₂³×C₄₁	1	8	yes	—
909	C₂²⋊Q₈	C₂³×C₄₁	1	4	yes	—
910	C₂²⋊Q₈	C₂³×C₄₁	1	4	yes	—
911	C₂²⋊Q₈	C₂³×C₄₁	1	4	yes	—
912	C₂²⋊Q₈	C₂³×C₄₁	1	4	yes	—
913	C₂²⋊Q₈	C₂³×C₄₁	1	2	yes	—
914	C₂²⋊Q₈	C₂³×C₄₁	1	4	yes	—
915	C₂²⋊Q₈	C₂³×C₄₁	1	2	yes	—
916	C₂²⋊Q₈	C₂³×C₄₁	1	4	yes	—
917	C₂²⋊Q₈	C₂³×C₄₁	1	8	yes	—
918	C₂²⋊Q₈	C₂³×C₄₁	1	8	yes	—
919	C₂²⋊Q₈	C₂³×C₄₁	1	4	yes	—
920	C₂²⋊Q₈	C₂³×C₄₁	1	4	yes	—
921	C₂²⋊Q₈	C₂³×C₄₁	1	8	yes	—
922	C₂²⋊Q₈	C₂³×C₄₁	1	8	yes	—
923	C₂²⋊Q₈	C₂³×C₄₁	1	8	yes	—
924	C₂²⋊Q₈	C₂³×C₄₁	1	8	yes	—
925	C₂²⋊Q₈	C₂³×C₄₁	1	8	yes	—
926	C₂²⋊Q₈	C₂³×C₄₁	1	8	yes	—
927	C₂²⋊Q₈	C₂³×C₄₁	1	8	yes	—
928	C₂²⋊Q₈	C₂³×C₄₁	1	8	yes	—
929	C₂²⋊Q₈	C₂³×C₄₁	1	8	yes	—
930	C₂²⋊Q₈	C₂³×C₄₁	1	8	yes	—
931	C₂²⋊Q₈	C₂³×C₄₁	1	8	yes	—
932	C₂²⋊Q₈	C₂³×C₄₁	1	8	yes	—
933	C₂²⋊Q₈	C₂³×C₄₁	1	8	yes	—
934	#121	C₂³×C₄₁	1	4	yes	—
935	#121	C₂³×C₄₁	1	4	yes	—
936	#121	C₂³×C₄₁	1	4	yes	—
937	#121	C₂³×C₄₁	1	4	yes	—
938	#121	C₂³×C₄₁	1	2	yes	—
939	#121	C₂³×C₄₁	1	2	yes	—
940	#121	C₂³×C₄₁	1	4	yes	—
941	#121	C₂³×C₄₁	1	4	yes	—
942	#121	C₂³×C₄₁	1	8	yes	—
943	#121	C₂³×C₄₁	1	8	yes	—
944	#121	C₂³×C₄₁	1	8	yes	—
945	#121	C₂³×C₄₁	1	4	yes	—
946	#121	C₂³×C₄₁	1	8	yes	—
947	#121	C₂³×C₄₁	1	4	yes	—
948	#121	C₂³×C₄₁	1	8	yes	—
949	#121	C₂³×C₄₁	1	8	yes	—
950	#121	C₂³×C₄₁	1	8	yes	—
951	#121	C₂³×C₄₁	1	8	yes	—
952	#121	C₂³×C₄₁	1	8	yes	—
953	#121	C₂³×C₄₁	1	8	yes	—
954	#121	C₂³×C₄₁	1	8	yes	—
955	#121	C₂³×C₄₁	1	8	yes	—
956	#121	C₂³×C₄₁	1	8	yes	—
957	#120	C₂³×C₄₁	1	2	yes	—
958	#120	C₂³×C₄₁	1	2	yes	—
959	#120	C₂³×C₄₁	1	8	yes	—
960	#120	C₂³×C₄₁	1	8	yes	—
961	#120	C₂³×C₄₁	1	4	yes	—
962	#120	C₂³×C₄₁	1	8	yes	—
963	#120	C₂³×C₄₁	1	4	yes	—
964	#120	C₂³×C₄₁	1	8	yes	—
965	C₄×Q₈	C₂³×C₄₁	1	4	yes	—
966	C₄×Q₈	C₂³×C₄₁	1	4	yes	—
967	C₄×Q₈	C₂³×C₄₁	1	4	yes	—
968	C₄×Q₈	C₂³×C₄₁	1	4	yes	—
969	C₄×Q₈	C₂³×C₄₁	1	4	yes	—
970	C₄×Q₈	C₂³×C₄₁	1	2	yes	—
971	C₄×Q₈	C₂³×C₄₁	1	4	yes	—
972	C₄×Q₈	C₂³×C₄₁	1	2	yes	—
973	C₄×Q₈	C₂³×C₄₁	1	8	yes	—
974	C₄×Q₈	C₂³×C₄₁	1	4	yes	—
975	C₄×Q₈	C₂³×C₄₁	1	4	yes	—
976	C₄×Q₈	C₂³×C₄₁	1	8	yes	—
977	C₄×Q₈	C₂³×C₄₁	1	8	yes	—
978	C₄×D₄	C₂³×C₄₁	1	8	yes	—
979	C₄×D₄	C₂³×C₄₁	1	4	yes	—
980	C₄×D₄	C₂³×C₄₁	1	4	yes	—
981	C₄×D₄	C₂³×C₄₁	1	8	yes	—
982	C₄×D₄	C₂³×C₄₁	1	8	yes	—
983	C₄×D₄	C₂³×C₄₁	1	4	yes	—
984	C₄×D₄	C₂³×C₄₁	1	4	yes	—
985	C₄×D₄	C₂³×C₄₁	1	8	yes	—
986	C₄×D₄	C₂³×C₄₁	1	4	yes	—
987	C₄×D₄	C₂³×C₄₁	1	4	yes	—
988	C₄×D₄	C₂³×C₄₁	1	4	yes	—
989	C₄×D₄	C₂³×C₄₁	1	4	yes	—
990	C₄×D₄	C₂³×C₄₁	1	4	yes	—
991	C₄×D₄	C₂³×C₄₁	1	4	yes	—
992	C₄×D₄	C₂³×C₄₁	1	4	yes	—
993	C₄×D₄	C₂³×C₄₁	1	4	yes	—
994	C₄×D₄	C₂³×C₄₁	1	2	yes	—
995	C₄×D₄	C₂³×C₄₁	1	2	yes	—
996	C₄×D₄	C₂³×C₄₁	1	8	yes	—
997	C₄×D₄	C₂³×C₄₁	1	8	yes	—
998	C₄×D₄	C₂³×C₄₁	1	8	yes	—
999	C₄×D₄	C₂³×C₄₁	1	8	yes	—
1000	C₄×D₄	C₂³×C₄₁	1	8	yes	—
1001	C₄×D₄	C₂³×C₄₁	1	8	yes	—
1002	C₄×D₄	C₂³×C₄₁	1	4	yes	—
1003	C₄×D₄	C₂³×C₄₁	1	8	yes	—
1004	C₄×D₄	C₂³×C₄₁	1	8	yes	—
1005	C₄×D₄	C₂³×C₄₁	1	8	yes	—
1006	C₄×D₄	C₂³×C₄₁	1	8	yes	—
1007	C₄×D₄	C₂³×C₄₁	1	8	yes	—
1008	C₄×D₄	C₂³×C₄₁	1	8	yes	—
1009	C₄×D₄	C₂³×C₄₁	1	4	yes	—
1010	C₄×D₄	C₂³×C₄₁	1	8	yes	—
1011	#117	C₂³×C₄₁	1	8	yes	—
1012	#117	C₂³×C₄₁	1	8	yes	—
1013	#117	C₂³×C₄₁	1	8	yes	—
1014	#117	C₂³×C₄₁	1	8	yes	—
1015	#117	C₂³×C₄₁	1	2	yes	—
1016	#117	C₂³×C₄₁	1	2	yes	—
1017	#117	C₂³×C₄₁	1	1	yes	characteristic
1018	#117	C₂³×C₄₁	1	1	yes	characteristic
1019	#117	C₂³×C₄₁	1	4	yes	—
1020	#117	C₂³×C₄₁	1	4	yes	—
1021	#117	C₂³×C₄₁	1	4	yes	—
1022	#117	C₂³×C₄₁	1	8	yes	—
1023	#117	C₂³×C₄₁	1	8	yes	—
1024	#117	C₂³×C₄₁	1	2	yes	—
1025	#117	C₂³×C₄₁	1	8	yes	—
1026	#117	C₂³×C₄₁	1	2	yes	—
1027	#117	C₂³×C₄₁	1	8	yes	—
1028	#117	C₂³×C₄₁	1	8	yes	—
1029	#117	C₂³×C₄₁	1	8	yes	—
1030	#117	C₂³×C₄₁	1	8	yes	—
1031	C₂×C₄⋊C₄	C₂³×C₄₁	1	4	yes	—
1032	C₂×C₄⋊C₄	C₂³×C₄₁	1	4	yes	—
1033	C₂×C₄⋊C₄	C₂³×C₄₁	1	2	yes	—
1034	C₂×C₄⋊C₄	C₂³×C₄₁	1	4	yes	—
1035	C₂×C₄⋊C₄	C₂³×C₄₁	1	2	yes	—
1036	C₂×C₄⋊C₄	C₂³×C₄₁	1	4	yes	—
1037	C₂×C₄⋊C₄	C₂³×C₄₁	1	8	yes	—
1038	C₂×C₄⋊C₄	C₂³×C₄₁	1	8	yes	—
1039	C₂×C₄⋊C₄	C₂³×C₄₁	1	4	yes	—
1040	C₂×C₄⋊C₄	C₂³×C₄₁	1	8	yes	—
1041	C₂×C₂²⋊C₄	C₂³×C₄₁	1	4	yes	—
1042	C₂×C₂²⋊C₄	C₂³×C₄₁	1	4	yes	—
1043	C₂×C₂²⋊C₄	C₂³×C₄₁	1	4	yes	—
1044	C₂×C₂²⋊C₄	C₂³×C₄₁	1	4	yes	—
1045	C₂×C₂²⋊C₄	C₂³×C₄₁	1	4	yes	—
1046	C₂×C₂²⋊C₄	C₂³×C₄₁	1	8	yes	—
1047	C₂×C₂²⋊C₄	C₂³×C₄₁	1	8	yes	—
1048	C₂×C₂²⋊C₄	C₂³×C₄₁	1	8	yes	—
1049	C₂×C₂²⋊C₄	C₂³×C₄₁	1	8	yes	—
1050	C₂×C₄²	C₂³×C₄₁	1	2	yes	—
1051	C₂×C₄²	C₂³×C₄₁	1	4	yes	—
1052	C₂×C₄²	C₂³×C₄₁	1	2	yes	—
1053	C₂×C₄²	C₂³×C₄₁	1	2	yes	—
1054	C₂×C₄²	C₂³×C₄₁	1	2	yes	—
1055	C₂×C₄²	C₂³×C₄₁	1	2	yes	—
1056	C₂×C₄²	C₂³×C₄₁	1	1	yes	characteristic
1057	C₂×C₄²	C₂³×C₄₁	1	2	yes	—
1058	C₂×C₄²	C₂³×C₄₁	1	2	yes	—
1059	C₂×C₄²	C₂³×C₄₁	1	1	yes	characteristic
1060	C₂⁴	C₂⁴×C₄₁	1	1	yes	characteristic
1061	C₂⁴	C₂⁴×C₄₁	1	4	yes	—
1062	C₂⁴	C₂⁴×C₄₁	1	4	yes	—
1063	#41	—	4	2	no	—
1064	#41	—	4	2	no	—
1065	#41	—	4	8	no	—
1066	#41	—	4	16	no	—
1067	#41	—	4	8	no	—
1068	C₂×Q₈	—	4	4	no	—
1069	C₂×Q₈	—	4	4	no	—
1070	C₂×Q₈	C₂⁴×C₄₁	1	4	yes	—
1071	C₂×Q₈	C₂⁴×C₄₁	1	1	yes	characteristic
1072	C₂×Q₈	C₂⁴×C₄₁	1	8	yes	—
1073	C₂×Q₈	C₂⁴×C₄₁	1	4	yes	—
1074	C₂×Q₈	C₂⁴×C₄₁	1	4	yes	—
1075	C₂×Q₈	C₂⁴×C₄₁	1	4	yes	—
1076	C₂×Q₈	C₂⁴×C₄₁	1	1	yes	characteristic
1077	C₂×D₄	—	4	4	no	—
1078	C₂×D₄	—	4	4	no	—
1079	C₂×D₄	—	4	8	no	—
1080	C₂×D₄	—	4	16	no	—
1081	C₂×D₄	C₂⁴×C₄₁	1	4	yes	—
1082	C₂×D₄	C₂⁴×C₄₁	1	8	yes	—
1083	C₂×D₄	C₂⁴×C₄₁	1	4	yes	—
1084	C₂×D₄	C₂⁴×C₄₁	1	4	yes	—
1085	C₂×D₄	C₂⁴×C₄₁	1	1	yes	characteristic
1086	C₂×D₄	C₂⁴×C₄₁	1	2	yes	—
1087	C₂×D₄	C₂⁴×C₄₁	1	8	yes	—
1088	C₂×D₄	C₂⁴×C₄₁	1	8	yes	—
1089	C₂×D₄	C₂⁴×C₄₁	1	4	yes	—
1090	C₂×D₄	C₂⁴×C₄₁	1	4	yes	—
1091	C₂×D₄	C₂⁴×C₄₁	1	8	yes	—
1092	C₂×D₄	C₂⁴×C₄₁	1	8	yes	—
1093	C₂×D₄	C₂⁴×C₄₁	1	4	yes	—
1094	C₂×D₄	C₂⁴×C₄₁	1	2	yes	—
1095	C₂×D₄	C₂⁴×C₄₁	1	8	yes	—
1096	C₂×D₄	C₂⁴×C₄₁	1	1	yes	characteristic
1097	C₂²×C₄	—	4	2	no	—
1098	C₂²×C₄	—	4	4	no	—
1099	C₂²×C₄	—	4	8	no	—
1100	C₂²×C₄	C₂⁴×C₄₁	1	2	yes	—
1101	C₂²×C₄	C₂⁴×C₄₁	1	2	yes	—
1102	C₂²×C₄	C₂⁴×C₄₁	1	2	yes	—
1103	C₂²×C₄	C₂⁴×C₄₁	1	1	yes	characteristic
1104	C₂²×C₄	C₂⁴×C₄₁	1	2	yes	—
1105	C₂²×C₄	C₂⁴×C₄₁	1	2	yes	—
1106	C₂²×C₄	C₂⁴×C₄₁	1	4	yes	—
1107	C₂²×C₄	C₂⁴×C₄₁	1	2	yes	—
1108	C₂²×C₄	C₂⁴×C₄₁	1	2	yes	—
1109	C₂²×C₄	C₂⁴×C₄₁	1	2	yes	—
1110	C₂²×C₄	C₂⁴×C₄₁	1	2	yes	—
1111	C₂²×C₄	C₂⁴×C₄₁	1	2	yes	—
1112	C₂²×C₄	C₂⁴×C₄₁	1	1	yes	characteristic
1113	C₂²×C₄	C₂⁴×C₄₁	1	4	yes	—
1114	C₂²×C₄	C₂⁴×C₄₁	1	4	yes	—
1115	C₂²×C₄	C₂⁴×C₄₁	1	4	yes	—
1116	C₂²×C₄	C₂⁴×C₄₁	1	4	yes	—
1117	C₂²×C₄	C₂⁴×C₄₁	1	8	yes	—
1118	C₂²×C₄	C₂⁴×C₄₁	1	8	yes	—
1119	C₂²×C₄	C₂⁴×C₄₁	1	4	yes	—
1120	C₂²×C₄	C₂⁴×C₄₁	1	8	yes	—
1121	C₂²×C₄	C₂⁴×C₄₁	1	8	yes	—
1122	C₂²×C₄	C₂⁴×C₄₁	1	8	yes	—
1123	C₂²×C₄	C₂⁴×C₄₁	1	8	yes	—
1124	C₄⋊C₄	C₂⁴×C₄₁	1	8	yes	—
1125	C₄⋊C₄	C₂⁴×C₄₁	1	8	yes	—
1126	C₄⋊C₄	C₂⁴×C₄₁	1	4	yes	—
1127	C₄⋊C₄	C₂⁴×C₄₁	1	4	yes	—
1128	C₄⋊C₄	C₂⁴×C₄₁	1	8	yes	—
1129	C₄⋊C₄	C₂⁴×C₄₁	1	4	yes	—
1130	C₄⋊C₄	C₂⁴×C₄₁	1	8	yes	—
1131	C₄⋊C₄	C₂⁴×C₄₁	1	4	yes	—
1132	C₄⋊C₄	C₂⁴×C₄₁	1	8	yes	—
1133	C₄⋊C₄	C₂⁴×C₄₁	1	8	yes	—
1134	C₄⋊C₄	C₂⁴×C₄₁	1	8	yes	—
1135	C₄⋊C₄	C₂⁴×C₄₁	1	8	yes	—
1136	C₄⋊C₄	C₂⁴×C₄₁	1	8	yes	—
1137	C₄⋊C₄	C₂⁴×C₄₁	1	4	yes	—
1138	C₄⋊C₄	C₂⁴×C₄₁	1	8	yes	—
1139	C₄⋊C₄	C₂⁴×C₄₁	1	8	yes	—
1140	C₄⋊C₄	C₂⁴×C₄₁	1	8	yes	—
1141	C₄⋊C₄	C₂⁴×C₄₁	1	4	yes	—
1142	C₄⋊C₄	C₂⁴×C₄₁	1	8	yes	—
1143	C₄⋊C₄	C₂⁴×C₄₁	1	4	yes	—
1144	C₄⋊C₄	C₂⁴×C₄₁	1	8	yes	—
1145	C₄⋊C₄	C₂⁴×C₄₁	1	4	yes	—
1146	C₄⋊C₄	C₂⁴×C₄₁	1	8	yes	—
1147	C₄⋊C₄	C₂⁴×C₄₁	1	8	yes	—
1148	C₄⋊C₄	C₂⁴×C₄₁	1	4	yes	—
1149	C₄⋊C₄	C₂⁴×C₄₁	1	2	yes	—
1150	C₄⋊C₄	C₂⁴×C₄₁	1	4	yes	—
1151	C₄⋊C₄	C₂⁴×C₄₁	1	4	yes	—
1152	C₄⋊C₄	C₂⁴×C₄₁	1	2	yes	—
1153	C₄⋊C₄	C₂⁴×C₄₁	1	4	yes	—
1154	C₄⋊C₄	C₂⁴×C₄₁	1	8	yes	—
1155	C₂²⋊C₄	C₂⁴×C₄₁	1	8	yes	—
1156	C₂²⋊C₄	C₂⁴×C₄₁	1	8	yes	—
1157	C₂²⋊C₄	C₂⁴×C₄₁	1	4	yes	—
1158	C₂²⋊C₄	C₂⁴×C₄₁	1	8	yes	—
1159	C₂²⋊C₄	C₂⁴×C₄₁	1	4	yes	—
1160	C₂²⋊C₄	C₂⁴×C₄₁	1	8	yes	—
1161	C₂²⋊C₄	C₂⁴×C₄₁	1	4	yes	—
1162	C₂²⋊C₄	C₂⁴×C₄₁	1	8	yes	—
1163	C₂²⋊C₄	C₂⁴×C₄₁	1	4	yes	—
1164	C₂²⋊C₄	C₂⁴×C₄₁	1	8	yes	—
1165	C₂²⋊C₄	C₂⁴×C₄₁	1	8	yes	—
1166	C₂²⋊C₄	C₂⁴×C₄₁	1	8	yes	—
1167	C₂²⋊C₄	C₂⁴×C₄₁	1	8	yes	—
1168	C₂²⋊C₄	C₂⁴×C₄₁	1	8	yes	—
1169	C₂²⋊C₄	C₂⁴×C₄₁	1	8	yes	—
1170	C₂²⋊C₄	C₂⁴×C₄₁	1	8	yes	—
1171	C₂²⋊C₄	C₂⁴×C₄₁	1	8	yes	—
1172	C₂²⋊C₄	C₂⁴×C₄₁	1	8	yes	—
1173	C₂²⋊C₄	C₂⁴×C₄₁	1	8	yes	—
1174	C₂²⋊C₄	C₂⁴×C₄₁	1	4	yes	—
1175	C₂²⋊C₄	C₂⁴×C₄₁	1	4	yes	—
1176	C₂²⋊C₄	C₂⁴×C₄₁	1	4	yes	—
1177	C₂²⋊C₄	C₂⁴×C₄₁	1	4	yes	—
1178	C₂²⋊C₄	C₂⁴×C₄₁	1	8	yes	—
1179	C₂²⋊C₄	C₂⁴×C₄₁	1	8	yes	—
1180	C₂²⋊C₄	C₂⁴×C₄₁	1	4	yes	—
1181	C₂²⋊C₄	C₂⁴×C₄₁	1	2	yes	—
1182	C₂²⋊C₄	C₂⁴×C₄₁	1	2	yes	—
1183	C₂²⋊C₄	C₂⁴×C₄₁	1	8	yes	—
1184	C₂²⋊C₄	C₂⁴×C₄₁	1	4	yes	—
1185	C₄²	C₂⁴×C₄₁	1	1	yes	characteristic
1186	C₄²	C₂⁴×C₄₁	1	1	yes	characteristic
1187	C₄²	C₂⁴×C₄₁	1	2	yes	—
1188	C₄²	C₂⁴×C₄₁	1	1	yes	characteristic
1189	C₄²	C₂⁴×C₄₁	1	2	yes	—
1190	C₄²	C₂⁴×C₄₁	1	2	yes	—
1191	C₄²	C₂⁴×C₄₁	1	2	yes	—
1192	C₄²	C₂⁴×C₄₁	1	2	yes	—
1193	C₄²	C₂⁴×C₄₁	1	2	yes	—
1194	C₄²	C₂⁴×C₄₁	1	1	yes	characteristic
1195	C₄²	C₂⁴×C₄₁	1	4	yes	—
1196	C₄²	C₂⁴×C₄₁	1	8	yes	—
1197	C₄²	C₂⁴×C₄₁	1	8	yes	—
1198	C₄²	C₂⁴×C₄₁	1	4	yes	—
1199	C₄²	C₂⁴×C₄₁	1	2	yes	—
1200	C₄²	C₂⁴×C₄₁	1	2	yes	—
1201	C₄²	C₂⁴×C₄₁	1	4	yes	—
1202	C₄²	C₂⁴×C₄₁	1	8	yes	—
1203	C₄²	C₂⁴×C₄₁	1	8	yes	—
1204	C₄²	C₂⁴×C₄₁	1	4	yes	—
1205	C₂³	—	2	4	no	—
1206	C₂³	—	2	8	no	—
1207	C₂³	—	4	1	no	—
1208	C₂³	—	4	4	no	—
1209	C₂³	—	4	4	no	—
1210	C₂³	—	4	4	no	—
1211	C₂³	—	4	8	no	—
1212	C₂³	C₂⁵×C₄₁	1	2	yes	—
1213	C₂³	C₂⁵×C₄₁	1	8	yes	—
1214	C₂³	C₂⁵×C₄₁	1	1	yes	characteristic
1215	C₂³	C₂⁵×C₄₁	1	2	yes	—
1216	C₂³	C₂⁵×C₄₁	1	2	yes	—
1217	Q₈	—	2	8	no	—
1218	Q₈	—	4	4	no	—
1219	Q₈	—	4	4	no	—
1220	Q₈	—	4	1	no	—
1221	Q₈	—	4	8	no	—
1222	Q₈	—	4	1	no	—
1223	Q₈	—	4	4	no	—
1224	D₄	—	2	16	no	—
1225	D₄	—	2	8	no	—
1226	D₄	—	2	8	no	—
1227	D₄	—	2	8	no	—
1228	D₄	—	4	4	no	—
1229	D₄	—	4	4	no	—
1230	D₄	—	4	8	no	—
1231	D₄	—	4	8	no	—
1232	D₄	—	4	8	no	—
1233	D₄	—	4	2	no	—
1234	D₄	—	4	8	no	—
1235	D₄	—	4	1	no	—
1236	D₄	—	4	1	no	—
1237	D₄	—	4	4	no	—
1238	D₄	—	4	2	no	—
1239	D₄	—	4	8	no	—
1240	C₂×C₄	—	2	4	no	—
1241	C₂×C₄	—	2	4	no	—
1242	C₂×C₄	—	2	8	no	—
1243	C₂×C₄	—	2	4	no	—
1244	C₂×C₄	—	2	2	no	—
1245	C₂×C₄	—	2	4	no	—
1246	C₂×C₄	—	2	4	no	—
1247	C₂×C₄	—	4	2	no	—
1248	C₂×C₄	—	4	2	no	—
1249	C₂×C₄	—	4	8	no	—
1250	C₂×C₄	—	4	8	no	—
1251	C₂×C₄	—	4	2	no	—
1252	C₂×C₄	—	4	2	no	—
1253	C₂×C₄	—	4	2	no	—
1254	C₂×C₄	—	4	1	no	—
1255	C₂×C₄	—	4	4	no	—
1256	C₂×C₄	—	4	8	no	—
1257	C₂×C₄	—	4	4	no	—
1258	C₂×C₄	—	4	4	no	—
1259	C₂×C₄	—	4	4	no	—
1260	C₂×C₄	—	4	4	no	—
1261	C₂×C₄	—	4	8	no	—
1262	C₂×C₄	—	4	8	no	—
1263	C₂×C₄	—	4	8	no	—
1264	C₂×C₄	C₂⁵×C₄₁	1	2	yes	—
1265	C₂×C₄	C₂⁵×C₄₁	1	2	yes	—
1266	C₂×C₄	C₂⁵×C₄₁	1	2	yes	—
1267	C₂×C₄	C₂⁵×C₄₁	1	2	yes	—
1268	C₂×C₄	C₂⁵×C₄₁	1	4	yes	—
1269	C₂×C₄	C₂⁵×C₄₁	1	8	yes	—
1270	C₂×C₄	C₂⁵×C₄₁	1	1	yes	characteristic
1271	C₂×C₄	C₂⁵×C₄₁	1	2	yes	—
1272	C₂×C₄	C₂⁵×C₄₁	1	2	yes	—
1273	C₂×C₄	C₂⁵×C₄₁	1	4	yes	—
1274	C₂×C₄	C₂⁵×C₄₁	1	8	yes	—
1275	C₂×C₄	C₂⁵×C₄₁	1	2	yes	—
1276	C₂×C₄	C₂⁵×C₄₁	1	8	yes	—
1277	C₂×C₄	C₂⁵×C₄₁	1	1	yes	characteristic
1278	C₂²	—	2	2	no	—
1279	C₂²	—	2	2	no	—
1280	C₂²	—	2	2	no	—
1281	C₂²	—	2	1	no	—
1282	C₂²	—	2	2	no	—
1283	C₂²	—	2	4	no	—
1284	C₂²	—	2	8	no	—
1285	C₂²	—	2	2	no	—
1286	C₂²	—	2	8	no	—
1287	C₂²	—	2	8	no	—
1288	C₂²	—	2	4	no	—
1289	C₂²	—	4	4	no	—
1290	C₂²	—	8	8	no	—
1291	C₂²	—	16	4	no	—
1292	C₂²	C₄₁×#585	1	4	yes	—
1293	C₂²	C₂⁶×C₄₁	1	1	yes	characteristic
1294	C₄	—	2	2	no	—
1295	C₄	—	2	2	no	—
1296	C₄	—	2	2	no	—
1297	C₄	—	2	8	no	—
1298	C₄	—	2	2	no	—
1299	C₄	—	2	2	no	—
1300	C₄	—	2	2	no	—
1301	C₄	—	2	1	no	—
1302	C₄	—	2	2	no	—
1303	C₄	—	2	8	no	—
1304	C₄	—	2	4	no	—
1305	C₄	—	2	4	no	—
1306	C₄	—	2	8	no	—
1307	C₄	C₄₁×#585	1	2	yes	—
1308	C₂	—	2	4	no	—
1309	C₂	—	4	1	no	—
1310	C₂	—	4	8	no	—
1311	C₂	—	4	2	no	—
1312	C₂	—	4	2	no	—
1313	C₂	C₂×C₄₁×#585	1	2	yes	—
1314	C₂	C₂×C₄₁×#585	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₄₁	C₂⁶
commutator, Frattini, cosocle	C₂²	C₂⁶×C₄₁
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂²×C₄₁ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₄₁×#3566	C₂	semidirect
2. C₄₁×#3564	C₂	semidirect
3. C₄₁×#3560	C₂	semidirect
4. C₄₁×#3557	C₂	semidirect
5. C₄₁×#3551	C₂	semidirect
6. C₄₁×#3538	C₂	semidirect
7. C₄₁×#3537	C₂	semidirect
8. C₄₁×#3536	C₂	semidirect
9. C₄₁×#3516	C₂	semidirect
10. C₄₁×#3515	C₂	semidirect
11. C₄₁×#3514	C₂	semidirect
12. C₄₁×#3513	C₂	semidirect
13. C₄₁×#3513	C₂	semidirect
14. C₄₁×#3512	C₂	semidirect
15. C₄₁×#3510	C₂	semidirect
16. C₄₁×#3493	C₂	semidirect
17. C₄₁×#3491	C₂	semidirect
18. C₄₁×#3444	C₂	semidirect
19. C₂×C₄₁×#529	C₂	semidirect
20. C₄₁×#563	C₂²	semidirect
21. C₄₁×#563	C₂²	semidirect
22. C₄₁×#563	C₂²	semidirect
23. C₄₁×#562	C₂²	semidirect
25. C₄₁×#560	C₂²	semidirect
26. C₄₁×#559	C₂²	semidirect
27. C₄₁×#559	C₂²	semidirect
28. C₄₁×#557	C₂²	semidirect
29. C₄₁×#556	C₂²	semidirect
30. C₄₁×#556	C₂²	semidirect
31. C₄₁×#556	C₂²	semidirect
32. C₄₁×#555	C₂²	semidirect
33. C₄₁×#555	C₂²	semidirect
34. C₄₁×#554	C₂²	semidirect
35. C₄₁×#554	C₂²	semidirect
36. C₄₁×#554	C₂²	semidirect
38. C₄₁×#553	C₂²	semidirect
39. C₄₁×#553	C₂²	semidirect
40. C₄₁×#553	C₂²	semidirect
41. C₄₁×#553	C₂²	semidirect
42. C₄₁×#553	C₂²	semidirect
43. C₄₁×#553	C₂²	semidirect
44. C₄₁×#552	C₂²	semidirect
45. C₄₁×#552	C₂²	semidirect
46. C₄₁×#552	C₂²	semidirect
47. C₄₁×#552	C₂²	semidirect
48. C₄₁×#552	C₂²	semidirect
49. C₄₁×#552	C₂²	semidirect
50. C₄₁×#552	C₂²	semidirect
51. C₄₁×#552	C₂²	semidirect
52. C₄₁×#551	C₂²	semidirect
53. C₄₁×#551	C₂²	semidirect
54. C₄₁×#551	C₂²	semidirect
55. C₄₁×#551	C₂²	semidirect
56. C₄₁×#551	C₂²	semidirect
57. C₄₁×#551	C₂²	semidirect
58. C₄₁×#551	C₂²	semidirect
59. C₄₁×#551	C₂²	semidirect
60. D₄×Q₈×C₄₁	C₂²	semidirect
61. C₄₁×#548	C₂²	semidirect
62. C₄₁×#548	C₂²	semidirect
63. C₄₁×#547	C₂²	semidirect
64. C₄₁×#547	C₂²	semidirect
65. C₄₁×#546	C₂²	semidirect
66. C₄₁×#546	C₂²	semidirect
67. C₄₁×#546	C₂²	semidirect
68. C₄₁×#546	C₂²	semidirect
69. C₄₁×#546	C₂²	semidirect
72. C₄₁×#544	C₂²	semidirect
73. C₄₁×#543	C₂²	semidirect
74. C₄₁×#542	C₂²	semidirect
75. C₄₁×#542	C₂²	semidirect
76. C₄₁×#542	C₂²	semidirect
77. C₄₁×#542	C₂²	semidirect
78. C₄₁×#542	C₂²	semidirect
79. C₄₁×#541	C₂²	semidirect
80. C₄₁×#541	C₂²	semidirect
81. C₄₁×#541	C₂²	semidirect
82. C₄₁×#541	C₂²	semidirect
84. C₄₁×#540	C₂²	semidirect
85. C₄₁×#540	C₂²	semidirect
86. C₄₁×#539	C₂²	semidirect
87. C₄₁×#539	C₂²	semidirect
88. C₄₁×#539	C₂²	semidirect
89. C₄₁×#539	C₂²	semidirect
90. C₄₁×#539	C₂²	semidirect
91. C₄₁×#539	C₂²	semidirect
93. C₄₁×#538	C₂²	semidirect
94. C₄₁×#538	C₂²	semidirect
95. C₄₁×#538	C₂²	semidirect
96. C₄₁×#538	C₂²	semidirect
97. C₄₁×#538	C₂²	semidirect
98. C₄₁×#537	C₂²	semidirect
99. C₄₁×#537	C₂²	semidirect
100. C₄₁×#536	C₂²	semidirect
103. C₄₁×#533	C₂²	semidirect
104. C₄₁×#533	C₂²	semidirect
105. C₄₁×#533	C₂²	semidirect
106. C₄₁×#532	C₂²	semidirect
107. C₄₁×#532	C₂²	semidirect
108. C₄₁×#532	C₂²	semidirect
109. C₄₁×#529	C₂²	semidirect
110. C₄₁×#529	C₂²	semidirect
111. C₄₁×#529	C₂²	semidirect
112. C₄₁×#529	C₂²	semidirect
113. C₄₁×#529	C₂²	semidirect
114. C₄₁×#529	C₂²	semidirect
115. C₄₁×#529	C₂²	semidirect
116. C₄₁×#529	C₂²	semidirect
117. C₄₁×#529	C₂²	semidirect
118. C₄₁×#529	C₂²	semidirect
119. C₄₁×#529	C₂²	semidirect
120. C₄₁×#529	C₂²	semidirect
121. C₄₁×#529	C₂²	semidirect
122. C₄₁×#529	C₂²	semidirect
123. C₄₁×#529	C₂²	semidirect
124. C₄₁×#529	C₂²	semidirect
125. C₂×#126×C₄₁	C₂²	semidirect
126. C₂×#125×C₄₁	C₂²	semidirect
127. C₂×#125×C₄₁	C₂²	semidirect
128. C₂×#124×C₄₁	C₂²	semidirect
129. C₂×#124×C₄₁	C₂²	semidirect
131. C₄₁×#525	C₂²	semidirect
132. C₄₁×#525	C₂²	semidirect
133. C₄₁×#525	C₂²	semidirect
134. C₂×#123×C₄₁	C₂²	semidirect
135. C₂×#123×C₄₁	C₂²	semidirect
136. C₂×C₂²⋊Q₈×C₄₁	C₂²	semidirect
138. C₄₁×#520	C₂²	semidirect
139. C₄₁×#520	C₂²	semidirect
140. C₄₁×#519	C₂²	semidirect
141. C₄₁×#518	C₂²	semidirect
142. C₄₁×#518	C₂²	semidirect
143. C₄×#41×C₄₁	C₂²	semidirect
144. C₄×#41×C₄₁	C₂²	semidirect
145. C₄×#41×C₄₁	C₂²	semidirect
146. C₂×C₄×Q₈×C₄₁	C₂²	semidirect
147. C₂×C₄×D₄×C₄₁	C₂²	semidirect
148. C₂×C₄×D₄×C₄₁	C₂²	semidirect
149. C₂×#117×C₄₁	C₂²	semidirect
150. C₂²×C₄²×C₄₁	C₂²	semidirect
620. #62829	C₄₁	direct (N × H)
651. #3566	C₂×C₄₁	semidirect
652. #3564	C₂×C₄₁	semidirect
653. #3560	C₂×C₄₁	semidirect
654. #3557	C₂×C₄₁	semidirect
655. #3551	C₂×C₄₁	semidirect
656. #3538	C₂×C₄₁	semidirect
657. #3537	C₂×C₄₁	semidirect
658. #3536	C₂×C₄₁	semidirect
659. #3516	C₂×C₄₁	semidirect
660. #3515	C₂×C₄₁	semidirect
661. #3514	C₂×C₄₁	semidirect
662. #3513	C₂×C₄₁	semidirect
663. #3513	C₂×C₄₁	semidirect
664. #3512	C₂×C₄₁	semidirect
665. #3510	C₂×C₄₁	semidirect
666. #3493	C₂×C₄₁	semidirect
667. #3491	C₂×C₄₁	semidirect
668. #3444	C₂×C₄₁	semidirect
669. C₂×#529	C₂×C₄₁	semidirect
677. #563	C₂²×C₄₁	semidirect
678. #563	C₂²×C₄₁	semidirect
679. #563	C₂²×C₄₁	semidirect
680. #562	C₂²×C₄₁	semidirect
682. #560	C₂²×C₄₁	semidirect
683. #559	C₂²×C₄₁	semidirect
684. #559	C₂²×C₄₁	semidirect
685. #557	C₂²×C₄₁	semidirect
686. #556	C₂²×C₄₁	semidirect
687. #556	C₂²×C₄₁	semidirect
688. #556	C₂²×C₄₁	semidirect
689. #555	C₂²×C₄₁	semidirect
690. #555	C₂²×C₄₁	semidirect
691. #554	C₂²×C₄₁	semidirect
692. #554	C₂²×C₄₁	semidirect
693. #554	C₂²×C₄₁	semidirect
695. #553	C₂²×C₄₁	semidirect
696. #553	C₂²×C₄₁	semidirect
697. #553	C₂²×C₄₁	semidirect
698. #553	C₂²×C₄₁	semidirect
699. #553	C₂²×C₄₁	semidirect
700. #553	C₂²×C₄₁	semidirect
701. #552	C₂²×C₄₁	semidirect
702. #552	C₂²×C₄₁	semidirect
703. #552	C₂²×C₄₁	semidirect
704. #552	C₂²×C₄₁	semidirect
705. #552	C₂²×C₄₁	semidirect
706. #552	C₂²×C₄₁	semidirect
707. #552	C₂²×C₄₁	semidirect
708. #552	C₂²×C₄₁	semidirect
709. #551	C₂²×C₄₁	semidirect
710. #551	C₂²×C₄₁	semidirect
711. #551	C₂²×C₄₁	semidirect
712. #551	C₂²×C₄₁	semidirect
713. #551	C₂²×C₄₁	semidirect
714. #551	C₂²×C₄₁	semidirect
715. #551	C₂²×C₄₁	semidirect
716. #551	C₂²×C₄₁	semidirect
717. D₄×Q₈	C₂²×C₄₁	semidirect
718. #548	C₂²×C₄₁	semidirect
719. #548	C₂²×C₄₁	semidirect
720. #547	C₂²×C₄₁	semidirect
721. #547	C₂²×C₄₁	semidirect
722. #546	C₂²×C₄₁	semidirect
723. #546	C₂²×C₄₁	semidirect
724. #546	C₂²×C₄₁	semidirect
725. #546	C₂²×C₄₁	semidirect
726. #546	C₂²×C₄₁	semidirect
729. #544	C₂²×C₄₁	semidirect
730. #543	C₂²×C₄₁	semidirect
731. #542	C₂²×C₄₁	semidirect
732. #542	C₂²×C₄₁	semidirect
733. #542	C₂²×C₄₁	semidirect
734. #542	C₂²×C₄₁	semidirect
735. #542	C₂²×C₄₁	semidirect
736. #541	C₂²×C₄₁	semidirect
737. #541	C₂²×C₄₁	semidirect
738. #541	C₂²×C₄₁	semidirect
739. #541	C₂²×C₄₁	semidirect
741. #540	C₂²×C₄₁	semidirect
742. #540	C₂²×C₄₁	semidirect
743. #539	C₂²×C₄₁	semidirect
744. #539	C₂²×C₄₁	semidirect
745. #539	C₂²×C₄₁	semidirect
746. #539	C₂²×C₄₁	semidirect
747. #539	C₂²×C₄₁	semidirect
748. #539	C₂²×C₄₁	semidirect
750. #538	C₂²×C₄₁	semidirect
751. #538	C₂²×C₄₁	semidirect
752. #538	C₂²×C₄₁	semidirect
753. #538	C₂²×C₄₁	semidirect
754. #538	C₂²×C₄₁	semidirect
755. #537	C₂²×C₄₁	semidirect
756. #537	C₂²×C₄₁	semidirect
757. #536	C₂²×C₄₁	semidirect
760. #533	C₂²×C₄₁	semidirect
761. #533	C₂²×C₄₁	semidirect
762. #533	C₂²×C₄₁	semidirect
763. #532	C₂²×C₄₁	semidirect
764. #532	C₂²×C₄₁	semidirect
765. #532	C₂²×C₄₁	semidirect
766. #529	C₂²×C₄₁	semidirect
767. #529	C₂²×C₄₁	semidirect
768. #529	C₂²×C₄₁	semidirect
769. #529	C₂²×C₄₁	semidirect
770. #529	C₂²×C₄₁	semidirect
771. #529	C₂²×C₄₁	semidirect
772. #529	C₂²×C₄₁	semidirect
773. #529	C₂²×C₄₁	semidirect
774. #529	C₂²×C₄₁	semidirect
775. #529	C₂²×C₄₁	semidirect
776. #529	C₂²×C₄₁	semidirect
777. #529	C₂²×C₄₁	semidirect
778. #529	C₂²×C₄₁	semidirect
779. #529	C₂²×C₄₁	semidirect
780. #529	C₂²×C₄₁	semidirect
781. #529	C₂²×C₄₁	semidirect
782. C₂×#126	C₂²×C₄₁	semidirect
783. C₂×#125	C₂²×C₄₁	semidirect
784. C₂×#125	C₂²×C₄₁	semidirect
785. C₂×#124	C₂²×C₄₁	semidirect
786. C₂×#124	C₂²×C₄₁	semidirect
788. #525	C₂²×C₄₁	semidirect
789. #525	C₂²×C₄₁	semidirect
790. #525	C₂²×C₄₁	semidirect
791. C₂×#123	C₂²×C₄₁	semidirect
792. C₂×#123	C₂²×C₄₁	semidirect
793. C₂×C₂²⋊Q₈	C₂²×C₄₁	semidirect
795. #520	C₂²×C₄₁	semidirect
796. #520	C₂²×C₄₁	semidirect
797. #519	C₂²×C₄₁	semidirect
798. #518	C₂²×C₄₁	semidirect
799. #518	C₂²×C₄₁	semidirect
800. C₄×#41	C₂²×C₄₁	semidirect
801. C₄×#41	C₂²×C₄₁	semidirect
802. C₄×#41	C₂²×C₄₁	semidirect
803. C₂×C₄×Q₈	C₂²×C₄₁	semidirect
804. C₂×C₄×D₄	C₂²×C₄₁	semidirect
805. C₂×C₄×D₄	C₂²×C₄₁	semidirect
806. C₂×#117	C₂²×C₄₁	semidirect
807. C₂²×C₄²	C₂²×C₄₁	semidirect
808. C₄₁	#62829	direct (N × H)

Maximal subgroups

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

subgroup	index
C₄₁×#3566	2
C₄₁×#3564	2
C₄₁×#3560	2
C₄₁×#3557	2
C₄₁×#3551	2
C₄₁×#3538	2
C₄₁×#3537	2
C₄₁×#3536	2
C₄₁×#3516	2
C₄₁×#3515	2
C₄₁×#3514	2
C₄₁×#3513	2
C₄₁×#3512	2
C₄₁×#3510	2
C₄₁×#3493	2
C₄₁×#3491	2
C₄₁×#3444	2
C₂×C₄₁×#529	2
#62829	41

Subgroups — C41×#62829 #23839030

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₄₁×#62829 #23839030