Subgroups — C₄₁×#61456 #23837657

Order 10496.

1910 conjugacy classes of subgroups.

The subgroup lattice has 1742 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₄₁×#3481	C₂	1	1	yes	maximal, characteristic, complemented
2	C₄₁×#3480	C₂	1	1	yes	maximal, characteristic, complemented
3	C₄₁×#3403	C₂	1	1	yes	maximal, characteristic, complemented
4	C₄₁×#3388	C₂	1	1	yes	maximal, characteristic, complemented
5	C₄₁×#3371	C₂	1	1	yes	maximal, characteristic, complemented
6	C₄₁×#3370	C₂	1	1	yes	maximal, characteristic, complemented
7	C₄₁×#3350	C₂	1	1	yes	maximal, characteristic, complemented
8	C₄₁×#3346	C₂	1	1	yes	maximal, characteristic, complemented
9	C₄₁×#3339	C₂	1	1	yes	maximal, characteristic, complemented
10	C₄₁×#3318	C₂	1	1	yes	maximal, characteristic, complemented
11	C₄₁×#3316	C₂	1	1	yes	maximal, characteristic, complemented
12	C₄₁×#3311	C₂	1	1	yes	maximal, characteristic, complemented
13	C₄₁×#3309	C₂	1	1	yes	maximal, characteristic, complemented
14	C₄₁×#3301	C₂	1	1	yes	maximal, characteristic, complemented
15	C₄₁×#3297	C₂	1	1	yes	maximal, characteristic, complemented
16	C₄₁×#3282	C₂	1	1	yes	maximal, characteristic, complemented
17	C₄₁×#3268	C₂	1	1	yes	maximal, characteristic, complemented
18	C₄₁×#3265	C₂	1	1	yes	maximal, characteristic, complemented
19	C₄₁×#3183	C₂	1	1	yes	maximal, characteristic, complemented
20	C₄₁×#3180	C₂	1	1	yes	maximal, characteristic, complemented
21	C₄₁×#3180	C₂	1	1	yes	maximal, characteristic, complemented
22	C₄₁×#3117	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄₁×#3115	C₂	1	1	yes	maximal, characteristic, complemented
24	C₄₁×#3114	C₂	1	1	yes	maximal, characteristic, complemented
25	C₄₁×#3111	C₂	1	1	yes	maximal, characteristic, complemented
26	C₄₁×#3111	C₂	1	1	yes	maximal, characteristic, complemented
27	C₄₁×#3109	C₂	1	1	yes	maximal, characteristic, complemented
28	C₄₁×#2970	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄×AGL(1,ℤ/8)×C₄₁	C₂	1	1	yes	maximal, characteristic, complemented
30	C₄₁×#2943	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×C₄₁×#440	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×AGL(1,ℤ/8)×C₄₁	C₂²	1	1	yes	characteristic
33	C₂×#135×C₄₁	C₂²	1	1	yes	characteristic
34	C₂²×SD₁₆×C₄₁	C₂²	1	1	yes	characteristic
35	C₄₁×#559	—	2	1	no	—
36	C₄₁×#559	C₂²	1	1	yes	characteristic
37	C₄₁×#559	C₂²	1	1	yes	characteristic, complemented
38	C₄₁×#557	C₂²	1	1	yes	characteristic, complemented
39	C₄₁×#556	—	2	1	no	—
40	C₄₁×#556	C₂²	1	1	yes	characteristic, complemented
41	C₄₁×#554	C₂²	1	1	yes	characteristic
42	C₄₁×#554	C₂²	1	1	yes	characteristic
43	C₄₁×#553	—	2	1	no	—
44	C₄₁×#553	—	2	1	no	—
45	C₄₁×#553	—	2	1	no	—
46	C₄₁×#553	C₂²	1	1	yes	characteristic
47	C₄₁×#553	C₂²	1	1	yes	characteristic
48	C₄₁×#553	C₂²	1	1	yes	characteristic
49	C₄₁×#553	C₂²	1	1	yes	characteristic, complemented
50	C₄₁×#551	—	2	1	no	—
51	C₄₁×#551	—	2	1	no	—
52	C₄₁×#550	C₂²	1	1	yes	characteristic, complemented
53	C₄₁×#548	C₂²	1	1	yes	characteristic
54	C₄₁×#548	C₂²	1	1	yes	characteristic, complemented
55	C₄₁×#546	—	2	1	no	—
56	C₄₁×#546	C₂²	1	1	yes	characteristic
57	C₄₁×#546	C₂²	1	1	yes	characteristic
58	D₄²×C₄₁	C₂²	1	1	yes	characteristic
59	C₄₁×#532	—	2	1	no	—
60	C₄₁×#532	C₂²	1	1	yes	characteristic
61	C₄₁×#532	C₂²	1	1	yes	characteristic, complemented
62	C₄₁×#529	—	2	1	no	—
63	C₄₁×#529	—	2	1	no	—
64	C₄₁×#529	—	2	1	no	—
65	C₄₁×#529	C₂²	1	1	yes	characteristic
66	C₄₁×#529	C₂²	1	1	yes	characteristic
67	C₄₁×#529	C₂²	1	1	yes	characteristic, complemented
68	C₄₁×#529	C₂²	1	1	yes	characteristic, complemented
69	C₄₁×#525	—	2	1	no	—
70	C₄₁×#525	—	2	1	no	—
71	C₄×#41×C₄₁	—	2	1	no	—
72	C₄×#41×C₄₁	C₂²	1	1	yes	characteristic
73	C₄×#41×C₄₁	C₂²	1	1	yes	characteristic
74	C₄×#41×C₄₁	C₂²	1	1	yes	characteristic, complemented
75	C₄×#41×C₄₁	C₂²	1	1	yes	characteristic, complemented
76	C₂×C₄×Q₈×C₄₁	C₂²	1	1	yes	characteristic, complemented
77	C₂×C₄×D₄×C₄₁	—	2	1	no	—
78	C₂×C₄×D₄×C₄₁	C₂²	1	1	yes	characteristic
79	C₂×C₄×D₄×C₄₁	C₂²	1	1	yes	characteristic
80	C₄₁×#501	C₂²	1	1	yes	characteristic, complemented
81	C₄₁×#501	C₂²	1	1	yes	characteristic, complemented
82	C₄₁×#499	C₂²	1	1	yes	characteristic, complemented
83	C₄₁×#496	C₂²	1	1	yes	characteristic
84	C₄₁×#496	C₂²	1	1	yes	characteristic, complemented
85	C₄₁×#495	C₂²	1	1	yes	characteristic, complemented
86	C₄₁×#490	C₂²	1	1	yes	characteristic
87	C₄₁×#490	C₂²	1	1	yes	characteristic, complemented
88	C₄₁×#489	C₂²	1	1	yes	characteristic, complemented
89	C₄₁×#489	C₂²	1	1	yes	characteristic, complemented
90	C₄₁×#488	C₂²	1	1	yes	characteristic, complemented
91	C₄₁×#488	C₂²	1	1	yes	characteristic, complemented
92	C₄₁×#485	C₂²	1	1	yes	characteristic, complemented
93	C₄₁×#485	C₂²	1	1	yes	characteristic, complemented
94	C₄₁×#484	C₂²	1	1	yes	characteristic, complemented
95	C₄₁×#483	C₂²	1	1	yes	characteristic, complemented
96	C₄₁×#482	C₂²	1	1	yes	characteristic
97	C₄₁×#482	C₂²	1	1	yes	characteristic, complemented
98	C₄₁×#482	C₂²	1	1	yes	characteristic, complemented
99	C₄₁×#482	C₂²	1	1	yes	characteristic, complemented
100	C₄₁×#481	C₂²	1	1	yes	characteristic
101	C₄₁×#481	C₂²	1	1	yes	characteristic, complemented
102	C₄₁×#481	C₂²	1	1	yes	characteristic, complemented
103	C₄₁×#480	C₂²	1	1	yes	characteristic, complemented
104	C₄₁×#479	C₂²	1	1	yes	characteristic, complemented
105	C₄₁×#479	C₂²	1	1	yes	characteristic, complemented
106	C₄₁×#479	C₂²	1	1	yes	characteristic, complemented
107	C₄₁×#479	C₂²	1	1	yes	characteristic, complemented
108	C₄₁×#478	C₂²	1	1	yes	characteristic
109	C₄₁×#478	C₂²	1	1	yes	characteristic
110	C₄₁×#478	C₂²	1	1	yes	characteristic, complemented
111	C₄₁×#478	C₂²	1	1	yes	characteristic, complemented
112	C₄₁×#476	C₂²	1	1	yes	characteristic
113	C₄₁×#476	C₂²	1	1	yes	characteristic, complemented
114	C₄₁×#475	C₂²	1	1	yes	characteristic, complemented
115	C₄₁×#474	C₂²	1	1	yes	characteristic, complemented
116	C₄₁×#470	C₂²	1	1	yes	characteristic, complemented
117	C₄₁×#469	C₂²	1	1	yes	characteristic
118	C₄₁×#468	C₂²	1	1	yes	characteristic
119	C₄₁×#468	C₂²	1	1	yes	characteristic, complemented
120	C₄₁×#466	C₂²	1	1	yes	characteristic
121	C₄₁×#466	C₂²	1	1	yes	characteristic
122	C₄₁×#466	C₂²	1	1	yes	characteristic, complemented
123	C₄₁×#466	C₂²	1	1	yes	characteristic, complemented
124	C₄₁×#465	C₂²	1	1	yes	characteristic, complemented
125	C₄₁×#465	C₂²	1	1	yes	characteristic, complemented
126	C₄₁×#465	C₂²	1	1	yes	characteristic, complemented
127	C₄₁×#465	C₂²	1	1	yes	characteristic, complemented
128	C₄₁×#464	C₂²	1	1	yes	characteristic, complemented
129	C₄₁×#464	C₂²	1	1	yes	characteristic, complemented
130	C₄₁×#464	C₂²	1	1	yes	characteristic, complemented
131	C₄₁×#464	C₂²	1	1	yes	characteristic, complemented
132	C₄₁×#463	C₂²	1	1	yes	characteristic
133	C₄₁×#463	C₂²	1	1	yes	characteristic
134	C₄₁×#463	C₂²	1	1	yes	characteristic, complemented
135	C₄₁×#463	C₂²	1	1	yes	characteristic, complemented
136	C₄₁×#460	C₂²	1	1	yes	characteristic
137	C₄₁×#459	C₂²	1	1	yes	characteristic
138	C₄₁×#459	C₂²	1	1	yes	characteristic
139	C₄₁×#459	C₂²	1	1	yes	characteristic, complemented
140	C₄₁×#452	C₂²	1	1	yes	characteristic
141	C₄₁×#452	C₂²	1	1	yes	characteristic, complemented
142	C₄₁×#451	C₂²	1	1	yes	characteristic, complemented
143	C₄₁×#450	C₂²	1	1	yes	characteristic
144	C₄₁×#449	C₂²	1	1	yes	characteristic
145	C₄₁×#449	C₂²	1	1	yes	characteristic
146	C₄₁×#449	C₂²	1	1	yes	characteristic, complemented
147	C₄₁×#449	C₂²	1	1	yes	characteristic, complemented
148	C₄₁×#448	C₂²	1	1	yes	characteristic
149	C₄₁×#447	C₂²	1	1	yes	characteristic
150	C₄₁×#447	C₂²	1	1	yes	characteristic
151	C₄₁×#447	C₂²	1	1	yes	characteristic
152	C₄₁×#446	C₂²	1	1	yes	characteristic, complemented
153	C₄₁×#446	C₂²	1	1	yes	characteristic, complemented
154	C₄₁×#442	C₂²	1	1	yes	characteristic
155	C₄₁×#442	C₂²	1	1	yes	characteristic
156	C₄₁×#442	C₂²	1	1	yes	characteristic
157	C₄₁×#442	C₂²	1	1	yes	characteristic, complemented
158	C₄₁×#442	C₂²	1	1	yes	characteristic, complemented
159	C₄₁×#442	C₂²	1	1	yes	characteristic, complemented
160	C₄₁×#442	C₂²	1	1	yes	characteristic, complemented
161	C₄₁×#441	C₂²	1	1	yes	characteristic, complemented
162	C₄₁×#441	C₂²	1	1	yes	characteristic, complemented
163	C₄₁×#441	C₂²	1	1	yes	characteristic, complemented
164	C₄₁×#440	C₂²	1	1	yes	characteristic
165	C₄₁×#440	C₂²	1	1	yes	characteristic
166	C₄₁×#440	C₂²	1	1	yes	characteristic
167	C₄₁×#440	C₂²	1	1	yes	characteristic
168	C₄₁×#440	C₂²	1	1	yes	characteristic
169	C₄₁×#440	C₂²	1	1	yes	characteristic, complemented
170	C₄₁×#440	C₂²	1	1	yes	characteristic, complemented
171	C₄₁×#440	C₂²	1	1	yes	characteristic, complemented
172	C₄₁×#440	C₂²	1	1	yes	characteristic, complemented
173	C₄₁×#440	C₂²	1	1	yes	characteristic, complemented
174	C₄₁×#440	C₂²	1	1	yes	characteristic, complemented
175	C₄₁×#440	C₂²	1	1	yes	characteristic, complemented
176	C₄₁×#440	C₂²	1	1	yes	characteristic, complemented
177	C₄₁×#440	C₂²	1	1	yes	characteristic, complemented
178	C₄×SD₁₆×C₄₁	C₂²	1	1	yes	characteristic
179	C₄×SD₁₆×C₄₁	C₂²	1	1	yes	characteristic, complemented
180	C₄×D₈×C₄₁	C₂²	1	1	yes	characteristic
181	C₄×D₈×C₄₁	C₂²	1	1	yes	characteristic, complemented
182	C₄₁×#435	C₂²	1	1	yes	characteristic
183	C₄₁×#435	C₂²	1	1	yes	characteristic
184	C₄₁×#435	C₂²	1	1	yes	characteristic, complemented
185	C₄₁×#435	C₂²	1	1	yes	characteristic, complemented
186	C₈×D₄×C₄₁	C₂²	1	1	yes	characteristic, complemented
187	C₈×D₄×C₄₁	C₂²	1	1	yes	characteristic, complemented
188	C₄₁×#432	C₂²	1	1	yes	characteristic, complemented
189	C₄₁×#432	C₂²	1	1	yes	characteristic, complemented
190	C₄₁×#432	C₂²	1	1	yes	characteristic, complemented
191	C₄₁×#428	C₂²	1	1	yes	characteristic, complemented
192	C₄₁×#427	C₂²	1	1	yes	characteristic, complemented
193	C₂×#107×C₄₁	C₂²	1	1	yes	characteristic, complemented
194	C₄₁×#418	C₂²	1	1	yes	characteristic
195	C₄₁×#417	C₂²	1	1	yes	characteristic, complemented
196	C₄₁×#416	C₂²	1	1	yes	characteristic
197	C₄₁×#416	C₂²	1	1	yes	characteristic, complemented
198	C₂×#103×C₄₁	C₂²	1	1	yes	characteristic, complemented
199	C₂×#102×C₄₁	C₂²	1	1	yes	characteristic
200	C₄×M₁₆×C₄₁	C₂²	1	1	yes	characteristic, complemented
201	C₂×#97×C₄₁	C₂²	1	1	yes	characteristic, complemented
202	C₂×#97×C₄₁	C₂²	1	1	yes	characteristic, complemented
203	C₂×#41×C₄₁	—	2	1	no	—
204	C₂×#41×C₄₁	—	2	1	no	—
205	C₂×#41×C₄₁	D₄	1	1	yes	characteristic
206	C₂×#41×C₄₁	C₂³	1	1	yes	characteristic
207	C₂×#41×C₄₁	C₂³	1	1	yes	characteristic
208	C₂×#41×C₄₁	C₂³	1	1	yes	characteristic
209	C₂²×Q₈×C₄₁	C₂³	1	1	yes	characteristic
210	C₂²×D₄×C₄₁	—	2	1	no	—
211	C₂²×D₄×C₄₁	C₂³	1	1	yes	characteristic
212	C₂²×D₄×C₄₁	C₂³	1	1	yes	characteristic
213	C₂³×C₄×C₄₁	—	2	1	no	—
214	C₂³×C₄×C₄₁	—	2	1	no	—
215	AGL(1,ℤ/8)×C₄₁	—	2	4	no	—
216	#135×C₄₁	—	2	4	no	—
217	C₂×Q₁₆×C₄₁	C₂³	1	1	yes	characteristic
218	C₂×Q₁₆×C₄₁	C₂³	1	1	yes	characteristic
219	C₂×SD₁₆×C₄₁	—	2	4	no	—
220	C₂×SD₁₆×C₄₁	C₂³	1	1	yes	characteristic
221	C₂×SD₁₆×C₄₁	C₂³	1	1	yes	characteristic
222	C₂×SD₁₆×C₄₁	C₂³	1	1	yes	characteristic
223	C₂×SD₁₆×C₄₁	C₂³	1	1	yes	characteristic
224	C₂×SD₁₆×C₄₁	C₂³	1	1	yes	characteristic
225	C₂×SD₁₆×C₄₁	C₂³	1	1	yes	characteristic
226	C₂×SD₁₆×C₄₁	C₂³	1	1	yes	characteristic
227	C₂×SD₁₆×C₄₁	C₂³	1	1	yes	characteristic
228	C₂×D₈×C₄₁	C₂³	1	1	yes	characteristic
229	C₂×D₈×C₄₁	C₂³	1	1	yes	characteristic
230	C₂×D₈×C₄₁	C₂³	1	1	yes	characteristic
231	C₂×D₈×C₄₁	C₂³	1	1	yes	characteristic
232	C₂×D₈×C₄₁	C₂³	1	1	yes	characteristic
233	C₂×D₈×C₄₁	C₂³	1	1	yes	characteristic
234	C₂×M₁₆×C₄₁	C₂³	1	1	yes	characteristic
235	C₂×M₁₆×C₄₁	C₂³	1	1	yes	characteristic
236	C₂²×C₈×C₄₁	C₂³	1	1	yes	characteristic
237	C₂²×C₈×C₄₁	C₂³	1	1	yes	characteristic
238	C₂²×C₈×C₄₁	C₂³	1	1	yes	characteristic
239	C₂²×C₈×C₄₁	C₂³	1	1	yes	characteristic
240	C₄⋊Q₈×C₄₁	—	2	1	no	—
241	C₄⋊Q₈×C₄₁	C₂³	1	1	yes	characteristic
242	C₄⋊Q₈×C₄₁	C₂³	1	1	yes	characteristic
243	#127×C₄₁	—	2	1	no	—
244	#127×C₄₁	C₂³	1	1	yes	characteristic
245	#127×C₄₁	C₂³	1	1	yes	characteristic
246	#126×C₄₁	—	2	1	no	—
247	#126×C₄₁	—	2	1	no	—
248	#126×C₄₁	—	2	1	no	—
249	#126×C₄₁	—	2	1	no	—
250	#126×C₄₁	—	2	1	no	—
251	#126×C₄₁	—	2	1	no	—
252	#126×C₄₁	—	2	1	no	—
253	#126×C₄₁	—	2	1	no	—
254	#126×C₄₁	—	2	1	no	—
255	#126×C₄₁	—	2	1	no	—
256	#125×C₄₁	—	2	1	no	—
257	#125×C₄₁	—	2	1	no	—
258	#125×C₄₁	—	2	1	no	—
259	#125×C₄₁	C₂³	1	1	yes	characteristic
260	#125×C₄₁	C₂³	1	1	yes	characteristic
261	#125×C₄₁	C₂³	1	1	yes	characteristic
262	#125×C₄₁	C₂³	1	1	yes	characteristic
263	#124×C₄₁	—	2	1	no	—
264	#124×C₄₁	—	2	1	no	—
265	#124×C₄₁	—	2	1	no	—
266	#124×C₄₁	—	2	1	no	—
267	#124×C₄₁	—	2	1	no	—
268	#124×C₄₁	—	2	1	no	—
269	#124×C₄₁	—	2	1	no	—
270	#124×C₄₁	C₂³	1	1	yes	characteristic
271	#124×C₄₁	C₂³	1	1	yes	characteristic
272	#124×C₄₁	C₂³	1	1	yes	characteristic
273	#124×C₄₁	C₂³	1	1	yes	characteristic
274	#123×C₄₁	—	2	1	no	—
275	#123×C₄₁	—	2	1	no	—
276	#123×C₄₁	—	2	1	no	—
277	#123×C₄₁	—	2	1	no	—
278	#123×C₄₁	—	2	1	no	—
279	#123×C₄₁	—	2	1	no	—
280	#123×C₄₁	—	2	1	no	—
281	#123×C₄₁	—	2	1	no	—
282	#123×C₄₁	—	2	1	no	—
283	#123×C₄₁	—	2	1	no	—
284	#123×C₄₁	—	2	1	no	—
285	#123×C₄₁	—	2	1	no	—
286	#123×C₄₁	—	2	1	no	—
287	#123×C₄₁	—	2	1	no	—
288	C₂²⋊Q₈×C₄₁	—	2	1	no	—
289	C₂²⋊Q₈×C₄₁	—	2	1	no	—
290	C₂²⋊Q₈×C₄₁	—	2	1	no	—
291	C₂²⋊Q₈×C₄₁	—	2	1	no	—
292	C₂²⋊Q₈×C₄₁	—	2	1	no	—
293	C₂²⋊Q₈×C₄₁	—	2	1	no	—
294	C₂²⋊Q₈×C₄₁	—	2	1	no	—
295	C₂²⋊Q₈×C₄₁	C₂³	1	1	yes	characteristic
296	C₂²⋊Q₈×C₄₁	C₂³	1	1	yes	characteristic
297	C₂²⋊Q₈×C₄₁	C₂³	1	1	yes	characteristic
298	C₂²⋊Q₈×C₄₁	C₂³	1	1	yes	characteristic
299	#121×C₄₁	—	2	1	no	—
300	#121×C₄₁	—	2	1	no	—
301	#121×C₄₁	—	2	1	no	—
302	#121×C₄₁	—	2	1	no	—
303	#121×C₄₁	—	2	1	no	—
304	#121×C₄₁	—	2	1	no	—
305	#121×C₄₁	—	2	1	no	—
306	#121×C₄₁	—	2	1	no	—
307	#121×C₄₁	—	2	1	no	—
308	#121×C₄₁	—	2	1	no	—
309	#121×C₄₁	—	2	1	no	—
310	#121×C₄₁	—	2	1	no	—
311	#121×C₄₁	—	2	1	no	—
312	#121×C₄₁	C₂³	1	1	yes	characteristic
313	#121×C₄₁	C₂³	1	1	yes	characteristic
314	#121×C₄₁	C₂³	1	1	yes	characteristic
315	#121×C₄₁	C₂³	1	1	yes	characteristic
316	#121×C₄₁	C₂³	1	1	yes	characteristic
317	#121×C₄₁	C₂³	1	1	yes	characteristic
318	#121×C₄₁	C₂³	1	1	yes	characteristic
319	#121×C₄₁	C₂³	1	1	yes	characteristic
320	#120×C₄₁	—	2	1	no	—
321	#120×C₄₁	—	2	1	no	—
322	#120×C₄₁	—	2	1	no	—
323	#120×C₄₁	—	2	1	no	—
324	C₄×Q₈×C₄₁	—	2	1	no	—
325	C₄×Q₈×C₄₁	—	2	1	no	—
326	C₄×Q₈×C₄₁	—	2	1	no	—
327	C₄×Q₈×C₄₁	—	2	1	no	—
328	C₄×Q₈×C₄₁	D₄	1	1	yes	characteristic
329	C₄×Q₈×C₄₁	C₂³	1	1	yes	characteristic
330	C₄×Q₈×C₄₁	C₂³	1	1	yes	characteristic
331	C₄×Q₈×C₄₁	C₂³	1	1	yes	characteristic
332	C₄×Q₈×C₄₁	C₂³	1	1	yes	characteristic
333	C₄×Q₈×C₄₁	C₂³	1	1	yes	characteristic
334	C₄×Q₈×C₄₁	C₂³	1	1	yes	characteristic
335	C₄×Q₈×C₄₁	C₂³	1	1	yes	characteristic
336	C₄×Q₈×C₄₁	C₂³	1	1	yes	characteristic
337	C₄×Q₈×C₄₁	C₂³	1	1	yes	characteristic
338	C₄×D₄×C₄₁	—	2	1	no	—
339	C₄×D₄×C₄₁	—	2	1	no	—
340	C₄×D₄×C₄₁	—	2	1	no	—
341	C₄×D₄×C₄₁	—	2	1	no	—
342	C₄×D₄×C₄₁	—	2	1	no	—
343	C₄×D₄×C₄₁	—	2	1	no	—
344	C₄×D₄×C₄₁	—	2	1	no	—
345	C₄×D₄×C₄₁	—	2	1	no	—
346	C₄×D₄×C₄₁	—	2	1	no	—
347	C₄×D₄×C₄₁	—	2	1	no	—
348	C₄×D₄×C₄₁	—	2	1	no	—
349	C₄×D₄×C₄₁	—	2	1	no	—
350	C₄×D₄×C₄₁	—	2	1	no	—
351	C₄×D₄×C₄₁	—	2	1	no	—
352	C₄×D₄×C₄₁	—	2	1	no	—
353	C₄×D₄×C₄₁	—	2	1	no	—
354	C₄×D₄×C₄₁	—	2	1	no	—
355	C₄×D₄×C₄₁	—	2	1	no	—
356	C₄×D₄×C₄₁	—	2	1	no	—
357	C₄×D₄×C₄₁	—	2	1	no	—
358	C₄×D₄×C₄₁	—	2	1	no	—
359	C₄×D₄×C₄₁	—	2	1	no	—
360	C₄×D₄×C₄₁	—	2	1	no	—
361	C₄×D₄×C₄₁	—	2	1	no	—
362	C₄×D₄×C₄₁	—	2	1	no	—
363	C₄×D₄×C₄₁	—	2	1	no	—
364	C₄×D₄×C₄₁	D₄	1	1	yes	characteristic
365	C₄×D₄×C₄₁	D₄	1	1	yes	characteristic
366	C₄×D₄×C₄₁	D₄	1	1	yes	characteristic
367	C₄×D₄×C₄₁	C₂³	1	1	yes	characteristic
368	C₄×D₄×C₄₁	C₂³	1	1	yes	characteristic
369	C₄×D₄×C₄₁	C₂³	1	1	yes	characteristic
370	C₄×D₄×C₄₁	C₂³	1	1	yes	characteristic
371	C₄×D₄×C₄₁	C₂³	1	1	yes	characteristic
372	C₄×D₄×C₄₁	C₂³	1	1	yes	characteristic
373	C₄×D₄×C₄₁	C₂³	1	1	yes	characteristic
374	C₄×D₄×C₄₁	C₂³	1	1	yes	characteristic
375	C₄×D₄×C₄₁	C₂³	1	1	yes	characteristic
376	C₄×D₄×C₄₁	C₂³	1	1	yes	characteristic
377	C₄×D₄×C₄₁	C₂³	1	1	yes	characteristic
378	C₄×D₄×C₄₁	C₂³	1	1	yes	characteristic
379	C₄×D₄×C₄₁	C₂³	1	1	yes	characteristic
380	C₄×D₄×C₄₁	C₂³	1	1	yes	characteristic
381	C₄×D₄×C₄₁	C₂³	1	1	yes	characteristic
382	#117×C₄₁	—	2	1	no	—
383	#117×C₄₁	—	2	1	no	—
384	#117×C₄₁	—	2	1	no	—
385	#117×C₄₁	—	2	1	no	—
386	#117×C₄₁	—	2	1	no	—
387	#117×C₄₁	—	2	1	no	—
388	#117×C₄₁	—	2	1	no	—
389	#117×C₄₁	D₄	1	1	yes	characteristic
390	#117×C₄₁	D₄	1	1	yes	characteristic
391	#117×C₄₁	D₄	1	1	yes	characteristic
392	#117×C₄₁	C₂³	1	1	yes	characteristic
393	#117×C₄₁	C₂³	1	1	yes	characteristic
394	#117×C₄₁	C₂³	1	1	yes	characteristic
395	C₂×C₄⋊C₄×C₄₁	—	2	1	no	—
396	C₂×C₄⋊C₄×C₄₁	—	2	1	no	—
397	C₂×C₄⋊C₄×C₄₁	C₂³	1	1	yes	characteristic
398	C₂×C₄⋊C₄×C₄₁	C₂³	1	1	yes	characteristic
399	C₂×C₄⋊C₄×C₄₁	C₂³	1	1	yes	characteristic
400	C₂×C₂²⋊C₄×C₄₁	—	2	1	no	—
401	C₂×C₂²⋊C₄×C₄₁	—	2	1	no	—
402	C₂×C₂²⋊C₄×C₄₁	—	2	1	no	—
403	C₂×C₂²⋊C₄×C₄₁	—	2	1	no	—
404	C₂×C₄²×C₄₁	—	2	1	no	—
405	C₂×C₄²×C₄₁	—	2	1	no	—
406	C₂×C₄²×C₄₁	—	2	1	no	—
407	C₂×C₄²×C₄₁	—	2	1	no	—
408	C₂×C₄²×C₄₁	C₂³	1	1	yes	characteristic
409	C₂×C₄²×C₄₁	C₂³	1	1	yes	characteristic
410	C₂×C₄²×C₄₁	C₂³	1	1	yes	characteristic
411	#107×C₄₁	C₂³	1	1	yes	characteristic
412	#107×C₄₁	C₂³	1	1	yes	characteristic
413	#107×C₄₁	C₂³	1	1	yes	characteristic
414	#107×C₄₁	C₂³	1	1	yes	characteristic
415	#107×C₄₁	C₂³	1	1	yes	characteristic
416	#107×C₄₁	C₂³	1	1	yes	characteristic
417	#107×C₄₁	C₂³	1	1	yes	characteristic
418	#107×C₄₁	C₂³	1	1	yes	characteristic
419	#106×C₄₁	C₂³	1	1	yes	characteristic
420	#106×C₄₁	C₂³	1	1	yes	characteristic
421	#106×C₄₁	C₂³	1	1	yes	characteristic
422	#106×C₄₁	C₂³	1	1	yes	characteristic
423	#106×C₄₁	C₂³	1	1	yes	characteristic
424	#106×C₄₁	C₂³	1	1	yes	characteristic
425	#106×C₄₁	C₂³	1	1	yes	characteristic
426	#106×C₄₁	C₂³	1	1	yes	characteristic
427	C₄⋊C₈×C₄₁	C₂³	1	1	yes	characteristic
428	C₄⋊C₈×C₄₁	C₂³	1	1	yes	characteristic
429	C₄⋊C₈×C₄₁	C₂³	1	1	yes	characteristic
430	C₄⋊C₈×C₄₁	C₂³	1	1	yes	characteristic
431	C₄⋊C₈×C₄₁	C₂³	1	1	yes	characteristic
432	C₄⋊C₈×C₄₁	C₂³	1	1	yes	characteristic
433	#103×C₄₁	C₂³	1	1	yes	characteristic
434	#103×C₄₁	C₂³	1	1	yes	characteristic
435	#103×C₄₁	C₂³	1	1	yes	characteristic
436	#103×C₄₁	C₂³	1	1	yes	characteristic
437	#103×C₄₁	C₂³	1	1	yes	characteristic
438	#103×C₄₁	C₂³	1	1	yes	characteristic
439	#103×C₄₁	C₂³	1	1	yes	characteristic
440	#103×C₄₁	C₂³	1	1	yes	characteristic
441	#103×C₄₁	C₂³	1	1	yes	characteristic
442	#103×C₄₁	C₂³	1	1	yes	characteristic
443	#103×C₄₁	C₂³	1	1	yes	characteristic
444	#103×C₄₁	C₂³	1	1	yes	characteristic
445	#102×C₄₁	C₂³	1	1	yes	characteristic
446	#102×C₄₁	C₂³	1	1	yes	characteristic
447	#102×C₄₁	C₂³	1	1	yes	characteristic
448	#102×C₄₁	C₂³	1	1	yes	characteristic
449	#102×C₄₁	C₂³	1	1	yes	characteristic
450	#102×C₄₁	C₂³	1	1	yes	characteristic
451	#102×C₄₁	C₂³	1	1	yes	characteristic
452	#102×C₄₁	C₂³	1	1	yes	characteristic
453	#102×C₄₁	C₂³	1	1	yes	characteristic
454	#102×C₄₁	C₂³	1	1	yes	characteristic
455	#102×C₄₁	C₂³	1	1	yes	characteristic
456	#102×C₄₁	C₂³	1	1	yes	characteristic
457	#102×C₄₁	C₂³	1	1	yes	characteristic
458	#102×C₄₁	C₂³	1	1	yes	characteristic
459	#102×C₄₁	C₂³	1	1	yes	characteristic
460	#102×C₄₁	C₂³	1	1	yes	characteristic
461	#102×C₄₁	C₂³	1	1	yes	characteristic
462	#102×C₄₁	C₂³	1	1	yes	characteristic
463	#102×C₄₁	C₂³	1	1	yes	characteristic
464	#102×C₄₁	C₂³	1	1	yes	characteristic
465	C₂²⋊C₈×C₄₁	C₂³	1	1	yes	characteristic
466	C₂²⋊C₈×C₄₁	C₂³	1	1	yes	characteristic
467	C₂²⋊C₈×C₄₁	C₂³	1	1	yes	characteristic
468	C₂²⋊C₈×C₄₁	C₂³	1	1	yes	characteristic
469	C₂²⋊C₈×C₄₁	C₂³	1	1	yes	characteristic
470	C₂²⋊C₈×C₄₁	C₂³	1	1	yes	characteristic
471	#97×C₄₁	C₂³	1	1	yes	characteristic
472	#97×C₄₁	C₂³	1	1	yes	characteristic
473	#97×C₄₁	C₂³	1	1	yes	characteristic
474	#97×C₄₁	C₂³	1	1	yes	characteristic
475	#97×C₄₁	C₂³	1	1	yes	characteristic
476	#97×C₄₁	C₂³	1	1	yes	characteristic
477	#97×C₄₁	C₂³	1	1	yes	characteristic
478	#97×C₄₁	C₂³	1	1	yes	characteristic
479	C₄×C₈×C₄₁	C₂³	1	1	yes	characteristic
480	C₄×C₈×C₄₁	C₂³	1	1	yes	characteristic
481	C₂⁴×C₄₁	—	2	1	no	—
482	C₂⁴×C₄₁	—	2	1	no	—
483	#41×C₄₁	—	2	2	no	—
484	#41×C₄₁	—	2	2	no	—
485	#41×C₄₁	—	2	2	no	—
486	#41×C₄₁	—	4	2	no	—
487	#41×C₄₁	—	4	1	no	—
488	#41×C₄₁	—	4	1	no	—
489	#41×C₄₁	—	4	1	no	—
490	#41×C₄₁	—	4	4	no	—
491	#41×C₄₁	—	8	2	no	—
492	C₂×Q₈×C₄₁	—	2	1	no	—
493	C₂×Q₈×C₄₁	—	2	1	no	—
494	C₂×Q₈×C₄₁	—	2	1	no	—
495	C₂×Q₈×C₄₁	—	2	2	no	—
496	C₂×Q₈×C₄₁	—	4	1	no	—
497	C₂×Q₈×C₄₁	C₂×D₄	1	1	yes	characteristic
498	C₂×Q₈×C₄₁	C₂⁴	1	1	yes	characteristic
499	C₂×Q₈×C₄₁	C₂⁴	1	1	yes	characteristic
500	C₂×Q₈×C₄₁	C₂⁴	1	1	yes	characteristic
501	C₂×D₄×C₄₁	—	2	2	no	—
502	C₂×D₄×C₄₁	—	2	2	no	—
503	C₂×D₄×C₄₁	—	2	1	no	—
504	C₂×D₄×C₄₁	—	2	1	no	—
505	C₂×D₄×C₄₁	—	2	1	no	—
506	C₂×D₄×C₄₁	—	2	1	no	—
507	C₂×D₄×C₄₁	—	2	1	no	—
508	C₂×D₄×C₄₁	—	2	1	no	—
509	C₂×D₄×C₄₁	—	2	1	no	—
510	C₂×D₄×C₄₁	—	2	1	no	—
511	C₂×D₄×C₄₁	—	2	1	no	—
512	C₂×D₄×C₄₁	—	2	1	no	—
513	C₂×D₄×C₄₁	—	2	1	no	—
514	C₂×D₄×C₄₁	—	2	1	no	—
515	C₂×D₄×C₄₁	—	2	1	no	—
516	C₂×D₄×C₄₁	—	2	1	no	—
517	C₂×D₄×C₄₁	—	2	1	no	—
518	C₂×D₄×C₄₁	—	2	1	no	—
519	C₂×D₄×C₄₁	—	2	1	no	—
520	C₂×D₄×C₄₁	—	4	1	no	—
521	C₂×D₄×C₄₁	—	4	1	no	—
522	C₂×D₄×C₄₁	—	4	4	no	—
523	C₂×D₄×C₄₁	C₂×D₄	1	1	yes	characteristic
524	C₂×D₄×C₄₁	C₂×D₄	1	1	yes	characteristic
525	C₂×D₄×C₄₁	C₂×D₄	1	1	yes	characteristic
526	C₂×D₄×C₄₁	C₂⁴	1	1	yes	characteristic
527	C₂×D₄×C₄₁	C₂⁴	1	1	yes	characteristic
528	C₂×D₄×C₄₁	C₂⁴	1	1	yes	characteristic
529	C₂×D₄×C₄₁	C₂⁴	1	1	yes	characteristic
530	C₂×D₄×C₄₁	C₂⁴	1	1	yes	characteristic
531	C₂²×C₄×C₄₁	—	2	1	no	—
532	C₂²×C₄×C₄₁	—	2	1	no	—
533	C₂²×C₄×C₄₁	—	2	1	no	—
534	C₂²×C₄×C₄₁	—	2	1	no	—
535	C₂²×C₄×C₄₁	—	2	1	no	—
536	C₂²×C₄×C₄₁	—	2	1	no	—
537	C₂²×C₄×C₄₁	—	2	1	no	—
538	C₂²×C₄×C₄₁	—	2	1	no	—
539	C₂²×C₄×C₄₁	—	2	1	no	—
540	C₂²×C₄×C₄₁	—	2	1	no	—
541	C₂²×C₄×C₄₁	—	2	1	no	—
542	C₂²×C₄×C₄₁	—	2	1	no	—
543	C₂²×C₄×C₄₁	—	2	1	no	—
544	C₂²×C₄×C₄₁	—	2	1	no	—
545	C₂²×C₄×C₄₁	—	2	1	no	—
546	C₂²×C₄×C₄₁	—	2	1	no	—
547	C₂²×C₄×C₄₁	—	2	1	no	—
548	C₂²×C₄×C₄₁	—	2	1	no	—
549	C₂²×C₄×C₄₁	—	2	1	no	—
550	C₂²×C₄×C₄₁	—	8	2	no	—
551	C₂²×C₄×C₄₁	—	8	2	no	—
552	C₂²×C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
553	C₂²×C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
554	C₂²×C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
555	C₂²×C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
556	C₂²×C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
557	C₂²×C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
558	C₂²×C₄×C₄₁	C₂⁴	1	1	yes	characteristic
559	C₂²×C₄×C₄₁	C₂⁴	1	1	yes	characteristic
560	C₂²×C₄×C₄₁	C₂⁴	1	1	yes	characteristic
561	Q₁₆×C₄₁	—	2	2	no	—
562	Q₁₆×C₄₁	—	4	1	no	—
563	SD₁₆×C₄₁	—	2	2	no	—
564	SD₁₆×C₄₁	—	2	2	no	—
565	SD₁₆×C₄₁	—	2	2	no	—
566	SD₁₆×C₄₁	—	2	2	no	—
567	SD₁₆×C₄₁	—	2	2	no	—
568	SD₁₆×C₄₁	—	4	1	no	—
569	SD₁₆×C₄₁	—	4	1	no	—
570	SD₁₆×C₄₁	#41	1	4	yes	complemented
571	D₈×C₄₁	—	2	2	no	—
572	D₈×C₄₁	—	2	2	no	—
573	D₈×C₄₁	—	2	2	no	—
574	D₈×C₄₁	—	4	1	no	—
575	D₈×C₄₁	—	4	1	no	—
576	D₈×C₄₁	—	4	1	no	—
577	M₁₆×C₄₁	—	2	2	no	—
578	M₁₆×C₄₁	—	4	1	no	—
579	C₂×C₈×C₄₁	—	2	2	no	—
580	C₂×C₈×C₄₁	—	2	2	no	—
581	C₂×C₈×C₄₁	—	4	1	no	—
582	C₂×C₈×C₄₁	—	4	1	no	—
583	C₂×C₈×C₄₁	C₂⁴	1	1	yes	characteristic
584	C₂×C₈×C₄₁	C₂⁴	1	1	yes	characteristic
585	C₂×C₈×C₄₁	C₂⁴	1	1	yes	characteristic
586	C₂×C₈×C₄₁	C₂⁴	1	1	yes	characteristic
587	C₂×C₈×C₄₁	C₂⁴	1	1	yes	characteristic
588	C₂×C₈×C₄₁	C₂⁴	1	1	yes	characteristic
589	C₂×C₈×C₄₁	C₂⁴	1	1	yes	characteristic
590	C₂×C₈×C₄₁	C₂⁴	1	1	yes	characteristic
591	C₄⋊C₄×C₄₁	—	2	1	no	—
592	C₄⋊C₄×C₄₁	—	2	1	no	—
593	C₄⋊C₄×C₄₁	—	2	1	no	—
594	C₄⋊C₄×C₄₁	—	2	1	no	—
595	C₄⋊C₄×C₄₁	—	2	1	no	—
596	C₄⋊C₄×C₄₁	—	2	1	no	—
597	C₄⋊C₄×C₄₁	—	2	1	no	—
598	C₄⋊C₄×C₄₁	—	2	1	no	—
599	C₄⋊C₄×C₄₁	—	2	1	no	—
600	C₄⋊C₄×C₄₁	—	2	1	no	—
601	C₄⋊C₄×C₄₁	—	2	1	no	—
602	C₄⋊C₄×C₄₁	—	2	1	no	—
603	C₄⋊C₄×C₄₁	—	2	1	no	—
604	C₄⋊C₄×C₄₁	—	2	1	no	—
605	C₄⋊C₄×C₄₁	—	2	1	no	—
606	C₄⋊C₄×C₄₁	—	2	1	no	—
607	C₄⋊C₄×C₄₁	—	2	1	no	—
608	C₄⋊C₄×C₄₁	—	2	1	no	—
609	C₄⋊C₄×C₄₁	—	2	1	no	—
610	C₄⋊C₄×C₄₁	—	2	1	no	—
611	C₄⋊C₄×C₄₁	—	2	1	no	—
612	C₄⋊C₄×C₄₁	—	2	1	no	—
613	C₄⋊C₄×C₄₁	—	2	1	no	—
614	C₄⋊C₄×C₄₁	—	2	1	no	—
615	C₄⋊C₄×C₄₁	—	2	1	no	—
616	C₄⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
617	C₄⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
618	C₄⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
619	C₄⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
620	C₄⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
621	C₄⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
622	C₄⋊C₄×C₄₁	C₂⁴	1	1	yes	characteristic
623	C₄⋊C₄×C₄₁	C₂⁴	1	1	yes	characteristic
624	C₄⋊C₄×C₄₁	C₂⁴	1	1	yes	characteristic
625	C₄⋊C₄×C₄₁	C₂⁴	1	1	yes	characteristic
626	C₄⋊C₄×C₄₁	C₂⁴	1	1	yes	characteristic
627	C₄⋊C₄×C₄₁	C₂⁴	1	1	yes	characteristic
628	C₄⋊C₄×C₄₁	C₂⁴	1	1	yes	characteristic
629	C₄⋊C₄×C₄₁	C₂⁴	1	1	yes	characteristic
630	C₂²⋊C₄×C₄₁	—	2	1	no	—
631	C₂²⋊C₄×C₄₁	—	2	1	no	—
632	C₂²⋊C₄×C₄₁	—	2	1	no	—
633	C₂²⋊C₄×C₄₁	—	2	1	no	—
634	C₂²⋊C₄×C₄₁	—	2	1	no	—
635	C₂²⋊C₄×C₄₁	—	2	1	no	—
636	C₂²⋊C₄×C₄₁	—	2	1	no	—
637	C₂²⋊C₄×C₄₁	—	2	1	no	—
638	C₂²⋊C₄×C₄₁	—	2	1	no	—
639	C₂²⋊C₄×C₄₁	—	2	1	no	—
640	C₂²⋊C₄×C₄₁	—	2	1	no	—
641	C₂²⋊C₄×C₄₁	—	2	1	no	—
642	C₂²⋊C₄×C₄₁	—	2	1	no	—
643	C₂²⋊C₄×C₄₁	—	2	1	no	—
644	C₂²⋊C₄×C₄₁	—	2	1	no	—
645	C₂²⋊C₄×C₄₁	—	2	1	no	—
646	C₂²⋊C₄×C₄₁	—	2	1	no	—
647	C₂²⋊C₄×C₄₁	—	2	1	no	—
648	C₂²⋊C₄×C₄₁	—	2	1	no	—
649	C₂²⋊C₄×C₄₁	—	2	1	no	—
650	C₂²⋊C₄×C₄₁	—	2	1	no	—
651	C₂²⋊C₄×C₄₁	—	2	1	no	—
652	C₂²⋊C₄×C₄₁	—	2	1	no	—
653	C₂²⋊C₄×C₄₁	—	2	1	no	—
654	C₂²⋊C₄×C₄₁	—	2	1	no	—
655	C₂²⋊C₄×C₄₁	—	2	1	no	—
656	C₂²⋊C₄×C₄₁	—	2	1	no	—
657	C₂²⋊C₄×C₄₁	—	2	1	no	—
658	C₂²⋊C₄×C₄₁	—	2	1	no	—
659	C₂²⋊C₄×C₄₁	—	2	1	no	—
660	C₂²⋊C₄×C₄₁	—	2	1	no	—
661	C₂²⋊C₄×C₄₁	—	2	1	no	—
662	C₂²⋊C₄×C₄₁	—	2	1	no	—
663	C₂²⋊C₄×C₄₁	—	2	1	no	—
664	C₂²⋊C₄×C₄₁	—	2	1	no	—
665	C₂²⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
666	C₂²⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
667	C₂²⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
668	C₂²⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
669	C₂²⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
670	C₂²⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
671	C₄²×C₄₁	—	2	1	no	—
672	C₄²×C₄₁	—	2	1	no	—
673	C₄²×C₄₁	—	2	1	no	—
674	C₄²×C₄₁	—	2	1	no	—
675	C₄²×C₄₁	—	2	1	no	—
676	C₄²×C₄₁	—	2	1	no	—
677	C₄²×C₄₁	—	2	1	no	—
678	C₄²×C₄₁	—	2	1	no	—
679	C₄²×C₄₁	—	2	1	no	—
680	C₄²×C₄₁	—	2	1	no	—
681	C₄²×C₄₁	—	2	1	no	—
682	C₄²×C₄₁	C₂×D₄	1	1	yes	characteristic
683	C₄²×C₄₁	C₂×D₄	1	1	yes	characteristic
684	C₄²×C₄₁	C₂×D₄	1	1	yes	characteristic
685	C₄²×C₄₁	C₂×D₄	1	1	yes	characteristic
686	C₄²×C₄₁	C₂×D₄	1	1	yes	characteristic
687	C₄²×C₄₁	C₂×D₄	1	1	yes	characteristic
688	C₄²×C₄₁	C₂⁴	1	1	yes	characteristic
689	C₄²×C₄₁	C₂⁴	1	1	yes	characteristic
690	C₄²×C₄₁	C₂⁴	1	1	yes	characteristic
691	C₄²×C₄₁	C₂⁴	1	1	yes	characteristic
692	C₂³×C₄₁	—	2	1	no	—
693	C₂³×C₄₁	—	2	1	no	—
694	C₂³×C₄₁	—	2	1	no	—
695	C₂³×C₄₁	—	2	1	no	—
696	C₂³×C₄₁	—	2	1	no	—
697	C₂³×C₄₁	—	4	2	no	—
698	C₂³×C₄₁	—	4	2	no	—
699	C₂³×C₄₁	—	4	2	no	—
700	C₂³×C₄₁	—	4	2	no	—
701	C₂³×C₄₁	—	8	1	no	—
702	C₂³×C₄₁	—	8	1	no	—
703	C₂³×C₄₁	C₂²×D₄	1	1	yes	characteristic
704	C₂³×C₄₁	C₂²×D₄	1	1	yes	characteristic
705	C₂³×C₄₁	C₂²×D₄	1	1	yes	characteristic
706	Q₈×C₄₁	—	2	1	no	—
707	Q₈×C₄₁	—	2	1	no	—
708	Q₈×C₄₁	—	2	1	no	—
709	Q₈×C₄₁	—	2	1	no	—
710	Q₈×C₄₁	—	2	1	no	—
711	Q₈×C₄₁	—	4	1	no	—
712	Q₈×C₄₁	—	4	2	no	—
713	Q₈×C₄₁	—	4	2	no	—
714	Q₈×C₄₁	—	8	1	no	—
715	Q₈×C₄₁	C₂×#41	1	2	yes	—
716	D₄×C₄₁	—	2	2	no	—
717	D₄×C₄₁	—	2	2	no	—
718	D₄×C₄₁	—	2	1	no	—
719	D₄×C₄₁	—	2	1	no	—
720	D₄×C₄₁	—	2	1	no	—
721	D₄×C₄₁	—	2	1	no	—
722	D₄×C₄₁	—	2	1	no	—
723	D₄×C₄₁	—	2	1	no	—
724	D₄×C₄₁	—	2	1	no	—
725	D₄×C₄₁	—	2	1	no	—
726	D₄×C₄₁	—	2	1	no	—
727	D₄×C₄₁	—	4	1	no	—
728	D₄×C₄₁	—	4	2	no	—
729	D₄×C₄₁	—	4	2	no	—
730	D₄×C₄₁	—	4	2	no	—
731	D₄×C₄₁	—	4	2	no	—
732	D₄×C₄₁	—	4	2	no	—
733	D₄×C₄₁	—	4	2	no	—
734	D₄×C₄₁	—	4	2	no	—
735	D₄×C₄₁	—	4	2	no	—
736	D₄×C₄₁	—	4	2	no	—
737	D₄×C₄₁	—	4	2	no	—
738	D₄×C₄₁	—	4	2	no	—
739	D₄×C₄₁	—	8	1	no	—
740	D₄×C₄₁	—	8	1	no	—
741	D₄×C₄₁	—	8	1	no	—
742	D₄×C₄₁	—	8	1	no	—
743	D₄×C₄₁	—	8	1	no	—
744	D₄×C₄₁	—	8	1	no	—
745	D₄×C₄₁	C₂×#41	1	2	yes	—
746	C₂×C₄×C₄₁	—	2	2	no	—
747	C₂×C₄×C₄₁	—	2	1	no	—
748	C₂×C₄×C₄₁	—	2	1	no	—
749	C₂×C₄×C₄₁	—	2	1	no	—
750	C₂×C₄×C₄₁	—	2	1	no	—
751	C₂×C₄×C₄₁	—	2	1	no	—
752	C₂×C₄×C₄₁	—	2	1	no	—
753	C₂×C₄×C₄₁	—	2	1	no	—
754	C₂×C₄×C₄₁	—	2	1	no	—
755	C₂×C₄×C₄₁	—	2	1	no	—
756	C₂×C₄×C₄₁	—	2	1	no	—
757	C₂×C₄×C₄₁	—	2	1	no	—
758	C₂×C₄×C₄₁	—	2	1	no	—
759	C₂×C₄×C₄₁	—	2	1	no	—
760	C₂×C₄×C₄₁	—	2	1	no	—
761	C₂×C₄×C₄₁	—	2	1	no	—
762	C₂×C₄×C₄₁	—	2	1	no	—
763	C₂×C₄×C₄₁	—	2	1	no	—
764	C₂×C₄×C₄₁	—	4	1	no	—
765	C₂×C₄×C₄₁	—	4	1	no	—
766	C₂×C₄×C₄₁	—	4	1	no	—
767	C₂×C₄×C₄₁	—	4	1	no	—
768	C₂×C₄×C₄₁	—	4	1	no	—
769	C₂×C₄×C₄₁	—	4	2	no	—
770	C₂×C₄×C₄₁	—	4	2	no	—
771	C₂×C₄×C₄₁	—	4	2	no	—
772	C₂×C₄×C₄₁	—	4	2	no	—
773	C₂×C₄×C₄₁	—	4	2	no	—
774	C₂×C₄×C₄₁	—	4	2	no	—
775	C₂×C₄×C₄₁	—	4	2	no	—
776	C₂×C₄×C₄₁	—	4	2	no	—
777	C₂×C₄×C₄₁	—	4	2	no	—
778	C₂×C₄×C₄₁	—	4	2	no	—
779	C₂×C₄×C₄₁	—	8	1	no	—
780	C₂×C₄×C₄₁	—	8	1	no	—
781	C₂×C₄×C₄₁	—	8	1	no	—
782	C₂×C₄×C₄₁	—	8	1	no	—
783	C₂×C₄×C₄₁	—	8	1	no	—
784	C₂×C₄×C₄₁	—	8	1	no	—
785	C₂×C₄×C₄₁	—	8	1	no	—
786	C₂×C₄×C₄₁	—	8	1	no	—
787	C₂×C₄×C₄₁	—	8	1	no	—
788	C₂×C₄×C₄₁	C₂²×D₄	1	1	yes	characteristic
789	C₂×C₄×C₄₁	C₂²×D₄	1	1	yes	characteristic
790	C₂×C₄×C₄₁	C₂²×D₄	1	1	yes	characteristic
791	C₂×C₄×C₄₁	C₂²×D₄	1	1	yes	characteristic
792	C₂×C₄×C₄₁	C₂²×D₄	1	1	yes	characteristic
793	C₂×C₄×C₄₁	C₂²×D₄	1	1	yes	characteristic
794	C₂×C₄×C₄₁	C₂²×D₄	1	1	yes	characteristic
795	C₂×C₄×C₄₁	C₂²×D₄	1	1	yes	characteristic
796	C₂×C₄×C₄₁	C₂²×D₄	1	1	yes	characteristic
797	C₂×C₄×C₄₁	C₂²×D₄	1	1	yes	characteristic
798	C₂×C₄×C₄₁	C₂²×D₄	1	1	yes	characteristic
799	C₂×C₄×C₄₁	C₂⁵	1	1	yes	characteristic
800	C₈×C₄₁	—	2	1	no	—
801	C₈×C₄₁	—	2	1	no	—
802	C₈×C₄₁	—	2	1	no	—
803	C₈×C₄₁	—	2	1	no	—
804	C₈×C₄₁	—	2	1	no	—
805	C₈×C₄₁	—	2	1	no	—
806	C₈×C₄₁	—	2	1	no	—
807	C₈×C₄₁	C₂×#41	1	2	yes	—
808	#61456	C₄₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
809	C₂²×C₄₁	—	2	1	no	—
810	C₂²×C₄₁	—	2	1	no	—
811	C₂²×C₄₁	—	2	1	no	—
812	C₂²×C₄₁	—	2	1	no	—
813	C₂²×C₄₁	—	2	1	no	—
814	C₂²×C₄₁	—	2	1	no	—
815	C₂²×C₄₁	—	2	2	no	—
816	C₂²×C₄₁	—	2	1	no	—
817	C₂²×C₄₁	—	2	1	no	—
818	C₂²×C₄₁	—	4	1	no	—
819	C₂²×C₄₁	—	4	1	no	—
820	C₂²×C₄₁	—	4	1	no	—
821	C₂²×C₄₁	—	4	1	no	—
822	C₂²×C₄₁	—	4	1	no	—
823	C₂²×C₄₁	—	4	1	no	—
824	C₂²×C₄₁	—	4	1	no	—
825	C₂²×C₄₁	—	4	1	no	—
826	C₂²×C₄₁	—	4	1	no	—
827	C₂²×C₄₁	—	4	1	no	—
828	C₂²×C₄₁	—	4	1	no	—
829	C₂²×C₄₁	—	4	1	no	—
830	C₂²×C₄₁	—	4	1	no	—
831	C₂²×C₄₁	—	4	1	no	—
832	C₂²×C₄₁	—	8	4	no	—
833	C₂²×C₄₁	—	8	4	no	—
834	C₂²×C₄₁	#575	1	2	yes	—
835	C₂²×C₄₁	C₂³×D₄	1	1	yes	characteristic
836	C₄×C₄₁	—	2	1	no	—
837	C₄×C₄₁	—	2	1	no	—
838	C₄×C₄₁	—	2	1	no	—
839	C₄×C₄₁	—	2	1	no	—
840	C₄×C₄₁	—	2	1	no	—
841	C₄×C₄₁	—	2	1	no	—
842	C₄×C₄₁	—	2	1	no	—
843	C₄×C₄₁	—	2	2	no	—
844	C₄×C₄₁	—	2	1	no	—
845	C₄×C₄₁	—	2	1	no	—
846	C₄×C₄₁	—	2	1	no	—
847	C₄×C₄₁	—	2	1	no	—
848	C₄×C₄₁	—	4	1	no	—
849	C₄×C₄₁	—	4	1	no	—
850	C₄×C₄₁	—	4	1	no	—
851	C₄×C₄₁	—	4	1	no	—
852	C₄×C₄₁	—	4	1	no	—
853	C₄×C₄₁	—	4	1	no	—
854	C₄×C₄₁	—	4	1	no	—
855	C₄×C₄₁	—	4	1	no	—
856	C₄×C₄₁	—	4	1	no	—
857	C₄×C₄₁	—	4	1	no	—
858	C₄×C₄₁	C₂²×#41	1	1	yes	characteristic
859	C₄×C₄₁	#585	1	1	yes	characteristic
860	#3481	C₂×C₄₁	1	1	yes	characteristic, complemented
861	#3480	C₂×C₄₁	1	1	yes	characteristic, complemented
862	#3403	C₂×C₄₁	1	1	yes	characteristic, complemented
863	#3388	C₂×C₄₁	1	1	yes	characteristic, complemented
864	#3371	C₂×C₄₁	1	1	yes	characteristic, complemented
865	#3370	C₂×C₄₁	1	1	yes	characteristic, complemented
866	#3350	C₂×C₄₁	1	1	yes	characteristic, complemented
867	#3346	C₂×C₄₁	1	1	yes	characteristic, complemented
868	#3339	C₂×C₄₁	1	1	yes	characteristic, complemented
869	#3318	C₂×C₄₁	1	1	yes	characteristic, complemented
870	#3316	C₂×C₄₁	1	1	yes	characteristic, complemented
871	#3311	C₂×C₄₁	1	1	yes	characteristic, complemented
872	#3309	C₂×C₄₁	1	1	yes	characteristic, complemented
873	#3301	C₂×C₄₁	1	1	yes	characteristic, complemented
874	#3297	C₂×C₄₁	1	1	yes	characteristic, complemented
875	#3282	C₂×C₄₁	1	1	yes	characteristic, complemented
876	#3268	C₂×C₄₁	1	1	yes	characteristic, complemented
877	#3265	C₂×C₄₁	1	1	yes	characteristic, complemented
878	#3183	C₂×C₄₁	1	1	yes	characteristic, complemented
879	#3180	C₂×C₄₁	1	1	yes	characteristic, complemented
880	#3180	C₂×C₄₁	1	1	yes	characteristic, complemented
881	#3117	C₂×C₄₁	1	1	yes	characteristic, complemented
882	#3115	C₂×C₄₁	1	1	yes	characteristic, complemented
883	#3114	C₂×C₄₁	1	1	yes	characteristic, complemented
884	#3111	C₂×C₄₁	1	1	yes	characteristic, complemented
885	#3111	C₂×C₄₁	1	1	yes	characteristic, complemented
886	#3109	C₂×C₄₁	1	1	yes	characteristic, complemented
887	#2970	C₂×C₄₁	1	1	yes	characteristic, complemented
888	C₄×AGL(1,ℤ/8)	C₂×C₄₁	1	1	yes	characteristic, complemented
889	#2943	C₂×C₄₁	1	1	yes	characteristic, complemented
890	C₂×#440	C₂×C₄₁	1	1	yes	characteristic, complemented
891	C₂×C₄₁	—	2	2	no	—
892	C₂×C₄₁	—	4	1	no	—
893	C₂×C₄₁	—	4	1	no	—
894	C₂×C₄₁	—	4	2	no	—
895	C₂×C₄₁	—	8	1	no	—
896	C₂×C₄₁	—	8	1	no	—
897	C₂×C₄₁	—	8	1	no	—
898	C₂×C₄₁	—	8	1	no	—
899	C₂×C₄₁	D₄×#41	1	1	yes	characteristic
900	C₂×C₄₁	C₂×#575	1	1	yes	characteristic
901	C₂×C₄₁	#3585	1	1	yes	characteristic
902	C₂×AGL(1,ℤ/8)	C₂²×C₄₁	1	1	yes	characteristic
903	C₂×#135	C₂²×C₄₁	1	1	yes	characteristic
904	C₂²×SD₁₆	C₂²×C₄₁	1	1	yes	characteristic
905	#559	—	2	1	no	—
906	#559	C₂²×C₄₁	1	1	yes	characteristic
907	#559	C₂²×C₄₁	1	1	yes	characteristic, complemented
908	#557	C₂²×C₄₁	1	1	yes	characteristic, complemented
909	#556	—	2	1	no	—
910	#556	C₂²×C₄₁	1	1	yes	characteristic, complemented
911	#554	C₂²×C₄₁	1	1	yes	characteristic
912	#554	C₂²×C₄₁	1	1	yes	characteristic
913	#553	—	2	1	no	—
914	#553	—	2	1	no	—
915	#553	—	2	1	no	—
916	#553	C₂²×C₄₁	1	1	yes	characteristic
917	#553	C₂²×C₄₁	1	1	yes	characteristic
918	#553	C₂²×C₄₁	1	1	yes	characteristic
919	#553	C₂²×C₄₁	1	1	yes	characteristic, complemented
920	#551	—	2	1	no	—
921	#551	—	2	1	no	—
922	#550	C₂²×C₄₁	1	1	yes	characteristic, complemented
923	#548	C₂²×C₄₁	1	1	yes	characteristic
924	#548	C₂²×C₄₁	1	1	yes	characteristic, complemented
925	#546	—	2	1	no	—
926	#546	C₂²×C₄₁	1	1	yes	characteristic
927	#546	C₂²×C₄₁	1	1	yes	characteristic
928	D₄²	C₂²×C₄₁	1	1	yes	characteristic
929	#532	—	2	1	no	—
930	#532	C₂²×C₄₁	1	1	yes	characteristic
931	#532	C₂²×C₄₁	1	1	yes	characteristic, complemented
932	#529	—	2	1	no	—
933	#529	—	2	1	no	—
934	#529	—	2	1	no	—
935	#529	C₂²×C₄₁	1	1	yes	characteristic
936	#529	C₂²×C₄₁	1	1	yes	characteristic
937	#529	C₂²×C₄₁	1	1	yes	characteristic, complemented
938	#529	C₂²×C₄₁	1	1	yes	characteristic, complemented
939	#525	—	2	1	no	—
940	#525	—	2	1	no	—
941	C₄×#41	—	2	1	no	—
942	C₄×#41	C₂²×C₄₁	1	1	yes	characteristic
943	C₄×#41	C₂²×C₄₁	1	1	yes	characteristic
944	C₄×#41	C₂²×C₄₁	1	1	yes	characteristic, complemented
945	C₄×#41	C₂²×C₄₁	1	1	yes	characteristic, complemented
946	C₂×C₄×Q₈	C₂²×C₄₁	1	1	yes	characteristic, complemented
947	C₂×C₄×D₄	—	2	1	no	—
948	C₂×C₄×D₄	C₂²×C₄₁	1	1	yes	characteristic
949	C₂×C₄×D₄	C₂²×C₄₁	1	1	yes	characteristic
950	#501	C₂²×C₄₁	1	1	yes	characteristic, complemented
951	#501	C₂²×C₄₁	1	1	yes	characteristic, complemented
952	#499	C₂²×C₄₁	1	1	yes	characteristic, complemented
953	#496	C₂²×C₄₁	1	1	yes	characteristic
954	#496	C₂²×C₄₁	1	1	yes	characteristic, complemented
955	#495	C₂²×C₄₁	1	1	yes	characteristic, complemented
956	#490	C₂²×C₄₁	1	1	yes	characteristic
957	#490	C₂²×C₄₁	1	1	yes	characteristic, complemented
958	#489	C₂²×C₄₁	1	1	yes	characteristic, complemented
959	#489	C₂²×C₄₁	1	1	yes	characteristic, complemented
960	#488	C₂²×C₄₁	1	1	yes	characteristic, complemented
961	#488	C₂²×C₄₁	1	1	yes	characteristic, complemented
962	#485	C₂²×C₄₁	1	1	yes	characteristic, complemented
963	#485	C₂²×C₄₁	1	1	yes	characteristic, complemented
964	#484	C₂²×C₄₁	1	1	yes	characteristic, complemented
965	#483	C₂²×C₄₁	1	1	yes	characteristic, complemented
966	#482	C₂²×C₄₁	1	1	yes	characteristic
967	#482	C₂²×C₄₁	1	1	yes	characteristic, complemented
968	#482	C₂²×C₄₁	1	1	yes	characteristic, complemented
969	#482	C₂²×C₄₁	1	1	yes	characteristic, complemented
970	#481	C₂²×C₄₁	1	1	yes	characteristic
971	#481	C₂²×C₄₁	1	1	yes	characteristic, complemented
972	#481	C₂²×C₄₁	1	1	yes	characteristic, complemented
973	#480	C₂²×C₄₁	1	1	yes	characteristic, complemented
974	#479	C₂²×C₄₁	1	1	yes	characteristic, complemented
975	#479	C₂²×C₄₁	1	1	yes	characteristic, complemented
976	#479	C₂²×C₄₁	1	1	yes	characteristic, complemented
977	#479	C₂²×C₄₁	1	1	yes	characteristic, complemented
978	#478	C₂²×C₄₁	1	1	yes	characteristic
979	#478	C₂²×C₄₁	1	1	yes	characteristic
980	#478	C₂²×C₄₁	1	1	yes	characteristic, complemented
981	#478	C₂²×C₄₁	1	1	yes	characteristic, complemented
982	#476	C₂²×C₄₁	1	1	yes	characteristic
983	#476	C₂²×C₄₁	1	1	yes	characteristic, complemented
984	#475	C₂²×C₄₁	1	1	yes	characteristic, complemented
985	#474	C₂²×C₄₁	1	1	yes	characteristic, complemented
986	#470	C₂²×C₄₁	1	1	yes	characteristic, complemented
987	#469	C₂²×C₄₁	1	1	yes	characteristic
988	#468	C₂²×C₄₁	1	1	yes	characteristic
989	#468	C₂²×C₄₁	1	1	yes	characteristic, complemented
990	#466	C₂²×C₄₁	1	1	yes	characteristic
991	#466	C₂²×C₄₁	1	1	yes	characteristic
992	#466	C₂²×C₄₁	1	1	yes	characteristic, complemented
993	#466	C₂²×C₄₁	1	1	yes	characteristic, complemented
994	#465	C₂²×C₄₁	1	1	yes	characteristic, complemented
995	#465	C₂²×C₄₁	1	1	yes	characteristic, complemented
996	#465	C₂²×C₄₁	1	1	yes	characteristic, complemented
997	#465	C₂²×C₄₁	1	1	yes	characteristic, complemented
998	#464	C₂²×C₄₁	1	1	yes	characteristic, complemented
999	#464	C₂²×C₄₁	1	1	yes	characteristic, complemented
1000	#464	C₂²×C₄₁	1	1	yes	characteristic, complemented
1001	#464	C₂²×C₄₁	1	1	yes	characteristic, complemented
1002	#463	C₂²×C₄₁	1	1	yes	characteristic
1003	#463	C₂²×C₄₁	1	1	yes	characteristic
1004	#463	C₂²×C₄₁	1	1	yes	characteristic, complemented
1005	#463	C₂²×C₄₁	1	1	yes	characteristic, complemented
1006	#460	C₂²×C₄₁	1	1	yes	characteristic
1007	#459	C₂²×C₄₁	1	1	yes	characteristic
1008	#459	C₂²×C₄₁	1	1	yes	characteristic
1009	#459	C₂²×C₄₁	1	1	yes	characteristic, complemented
1010	#452	C₂²×C₄₁	1	1	yes	characteristic
1011	#452	C₂²×C₄₁	1	1	yes	characteristic, complemented
1012	#451	C₂²×C₄₁	1	1	yes	characteristic, complemented
1013	#450	C₂²×C₄₁	1	1	yes	characteristic
1014	#449	C₂²×C₄₁	1	1	yes	characteristic
1015	#449	C₂²×C₄₁	1	1	yes	characteristic
1016	#449	C₂²×C₄₁	1	1	yes	characteristic, complemented
1017	#449	C₂²×C₄₁	1	1	yes	characteristic, complemented
1018	#448	C₂²×C₄₁	1	1	yes	characteristic
1019	#447	C₂²×C₄₁	1	1	yes	characteristic
1020	#447	C₂²×C₄₁	1	1	yes	characteristic
1021	#447	C₂²×C₄₁	1	1	yes	characteristic
1022	#446	C₂²×C₄₁	1	1	yes	characteristic, complemented
1023	#446	C₂²×C₄₁	1	1	yes	characteristic, complemented
1024	#442	C₂²×C₄₁	1	1	yes	characteristic
1025	#442	C₂²×C₄₁	1	1	yes	characteristic
1026	#442	C₂²×C₄₁	1	1	yes	characteristic
1027	#442	C₂²×C₄₁	1	1	yes	characteristic, complemented
1028	#442	C₂²×C₄₁	1	1	yes	characteristic, complemented
1029	#442	C₂²×C₄₁	1	1	yes	characteristic, complemented
1030	#442	C₂²×C₄₁	1	1	yes	characteristic, complemented
1031	#441	C₂²×C₄₁	1	1	yes	characteristic, complemented
1032	#441	C₂²×C₄₁	1	1	yes	characteristic, complemented
1033	#441	C₂²×C₄₁	1	1	yes	characteristic, complemented
1034	#440	C₂²×C₄₁	1	1	yes	characteristic
1035	#440	C₂²×C₄₁	1	1	yes	characteristic
1036	#440	C₂²×C₄₁	1	1	yes	characteristic
1037	#440	C₂²×C₄₁	1	1	yes	characteristic
1038	#440	C₂²×C₄₁	1	1	yes	characteristic
1039	#440	C₂²×C₄₁	1	1	yes	characteristic, complemented
1040	#440	C₂²×C₄₁	1	1	yes	characteristic, complemented
1041	#440	C₂²×C₄₁	1	1	yes	characteristic, complemented
1042	#440	C₂²×C₄₁	1	1	yes	characteristic, complemented
1043	#440	C₂²×C₄₁	1	1	yes	characteristic, complemented
1044	#440	C₂²×C₄₁	1	1	yes	characteristic, complemented
1045	#440	C₂²×C₄₁	1	1	yes	characteristic, complemented
1046	#440	C₂²×C₄₁	1	1	yes	characteristic, complemented
1047	#440	C₂²×C₄₁	1	1	yes	characteristic, complemented
1048	C₄×SD₁₆	C₂²×C₄₁	1	1	yes	characteristic
1049	C₄×SD₁₆	C₂²×C₄₁	1	1	yes	characteristic, complemented
1050	C₄×D₈	C₂²×C₄₁	1	1	yes	characteristic
1051	C₄×D₈	C₂²×C₄₁	1	1	yes	characteristic, complemented
1052	#435	C₂²×C₄₁	1	1	yes	characteristic
1053	#435	C₂²×C₄₁	1	1	yes	characteristic
1054	#435	C₂²×C₄₁	1	1	yes	characteristic, complemented
1055	#435	C₂²×C₄₁	1	1	yes	characteristic, complemented
1056	C₈×D₄	C₂²×C₄₁	1	1	yes	characteristic, complemented
1057	C₈×D₄	C₂²×C₄₁	1	1	yes	characteristic, complemented
1058	#432	C₂²×C₄₁	1	1	yes	characteristic, complemented
1059	#432	C₂²×C₄₁	1	1	yes	characteristic, complemented
1060	#432	C₂²×C₄₁	1	1	yes	characteristic, complemented
1061	#428	C₂²×C₄₁	1	1	yes	characteristic, complemented
1062	#427	C₂²×C₄₁	1	1	yes	characteristic, complemented
1063	C₂×#107	C₂²×C₄₁	1	1	yes	characteristic, complemented
1064	#418	C₂²×C₄₁	1	1	yes	characteristic
1065	#417	C₂²×C₄₁	1	1	yes	characteristic, complemented
1066	#416	C₂²×C₄₁	1	1	yes	characteristic
1067	#416	C₂²×C₄₁	1	1	yes	characteristic, complemented
1068	C₂×#103	C₂²×C₄₁	1	1	yes	characteristic, complemented
1069	C₂×#102	C₂²×C₄₁	1	1	yes	characteristic
1070	C₄×M₁₆	C₂²×C₄₁	1	1	yes	characteristic, complemented
1071	C₂×#97	C₂²×C₄₁	1	1	yes	characteristic, complemented
1072	C₂×#97	C₂²×C₄₁	1	1	yes	characteristic, complemented
1073	C₄₁	#61456	1	1	yes	characteristic, direct product factor, Sylow
1074	C₂×#41	—	2	1	no	—
1075	C₂×#41	—	2	1	no	—
1076	C₂×#41	D₄×C₄₁	1	1	yes	characteristic
1077	C₂×#41	C₂³×C₄₁	1	1	yes	characteristic
1078	C₂×#41	C₂³×C₄₁	1	1	yes	characteristic
1079	C₂×#41	C₂³×C₄₁	1	1	yes	characteristic
1080	C₂²×Q₈	C₂³×C₄₁	1	1	yes	characteristic
1081	C₂²×D₄	—	2	1	no	—
1082	C₂²×D₄	C₂³×C₄₁	1	1	yes	characteristic
1083	C₂²×D₄	C₂³×C₄₁	1	1	yes	characteristic
1084	C₂³×C₄	—	2	1	no	—
1085	C₂³×C₄	—	2	1	no	—
1086	AGL(1,ℤ/8)	—	2	4	no	—
1087	#135	—	2	4	no	—
1088	C₂×Q₁₆	C₂³×C₄₁	1	1	yes	characteristic
1089	C₂×Q₁₆	C₂³×C₄₁	1	1	yes	characteristic
1090	C₂×SD₁₆	—	2	4	no	—
1091	C₂×SD₁₆	C₂³×C₄₁	1	1	yes	characteristic
1092	C₂×SD₁₆	C₂³×C₄₁	1	1	yes	characteristic
1093	C₂×SD₁₆	C₂³×C₄₁	1	1	yes	characteristic
1094	C₂×SD₁₆	C₂³×C₄₁	1	1	yes	characteristic
1095	C₂×SD₁₆	C₂³×C₄₁	1	1	yes	characteristic
1096	C₂×SD₁₆	C₂³×C₄₁	1	1	yes	characteristic
1097	C₂×SD₁₆	C₂³×C₄₁	1	1	yes	characteristic
1098	C₂×SD₁₆	C₂³×C₄₁	1	1	yes	characteristic
1099	C₂×D₈	C₂³×C₄₁	1	1	yes	characteristic
1100	C₂×D₈	C₂³×C₄₁	1	1	yes	characteristic
1101	C₂×D₈	C₂³×C₄₁	1	1	yes	characteristic
1102	C₂×D₈	C₂³×C₄₁	1	1	yes	characteristic
1103	C₂×D₈	C₂³×C₄₁	1	1	yes	characteristic
1104	C₂×D₈	C₂³×C₄₁	1	1	yes	characteristic
1105	C₂×M₁₆	C₂³×C₄₁	1	1	yes	characteristic
1106	C₂×M₁₆	C₂³×C₄₁	1	1	yes	characteristic
1107	C₂²×C₈	C₂³×C₄₁	1	1	yes	characteristic
1108	C₂²×C₈	C₂³×C₄₁	1	1	yes	characteristic
1109	C₂²×C₈	C₂³×C₄₁	1	1	yes	characteristic
1110	C₂²×C₈	C₂³×C₄₁	1	1	yes	characteristic
1111	C₄⋊Q₈	—	2	1	no	—
1112	C₄⋊Q₈	C₂³×C₄₁	1	1	yes	characteristic
1113	C₄⋊Q₈	C₂³×C₄₁	1	1	yes	characteristic
1114	#127	—	2	1	no	—
1115	#127	C₂³×C₄₁	1	1	yes	characteristic
1116	#127	C₂³×C₄₁	1	1	yes	characteristic
1117	#126	—	2	1	no	—
1118	#126	—	2	1	no	—
1119	#126	—	2	1	no	—
1120	#126	—	2	1	no	—
1121	#126	—	2	1	no	—
1122	#126	—	2	1	no	—
1123	#126	—	2	1	no	—
1124	#126	—	2	1	no	—
1125	#126	—	2	1	no	—
1126	#126	—	2	1	no	—
1127	#125	—	2	1	no	—
1128	#125	—	2	1	no	—
1129	#125	—	2	1	no	—
1130	#125	C₂³×C₄₁	1	1	yes	characteristic
1131	#125	C₂³×C₄₁	1	1	yes	characteristic
1132	#125	C₂³×C₄₁	1	1	yes	characteristic
1133	#125	C₂³×C₄₁	1	1	yes	characteristic
1134	#124	—	2	1	no	—
1135	#124	—	2	1	no	—
1136	#124	—	2	1	no	—
1137	#124	—	2	1	no	—
1138	#124	—	2	1	no	—
1139	#124	—	2	1	no	—
1140	#124	—	2	1	no	—
1141	#124	C₂³×C₄₁	1	1	yes	characteristic
1142	#124	C₂³×C₄₁	1	1	yes	characteristic
1143	#124	C₂³×C₄₁	1	1	yes	characteristic
1144	#124	C₂³×C₄₁	1	1	yes	characteristic
1145	#123	—	2	1	no	—
1146	#123	—	2	1	no	—
1147	#123	—	2	1	no	—
1148	#123	—	2	1	no	—
1149	#123	—	2	1	no	—
1150	#123	—	2	1	no	—
1151	#123	—	2	1	no	—
1152	#123	—	2	1	no	—
1153	#123	—	2	1	no	—
1154	#123	—	2	1	no	—
1155	#123	—	2	1	no	—
1156	#123	—	2	1	no	—
1157	#123	—	2	1	no	—
1158	#123	—	2	1	no	—
1159	C₂²⋊Q₈	—	2	1	no	—
1160	C₂²⋊Q₈	—	2	1	no	—
1161	C₂²⋊Q₈	—	2	1	no	—
1162	C₂²⋊Q₈	—	2	1	no	—
1163	C₂²⋊Q₈	—	2	1	no	—
1164	C₂²⋊Q₈	—	2	1	no	—
1165	C₂²⋊Q₈	—	2	1	no	—
1166	C₂²⋊Q₈	C₂³×C₄₁	1	1	yes	characteristic
1167	C₂²⋊Q₈	C₂³×C₄₁	1	1	yes	characteristic
1168	C₂²⋊Q₈	C₂³×C₄₁	1	1	yes	characteristic
1169	C₂²⋊Q₈	C₂³×C₄₁	1	1	yes	characteristic
1170	#121	—	2	1	no	—
1171	#121	—	2	1	no	—
1172	#121	—	2	1	no	—
1173	#121	—	2	1	no	—
1174	#121	—	2	1	no	—
1175	#121	—	2	1	no	—
1176	#121	—	2	1	no	—
1177	#121	—	2	1	no	—
1178	#121	—	2	1	no	—
1179	#121	—	2	1	no	—
1180	#121	—	2	1	no	—
1181	#121	—	2	1	no	—
1182	#121	—	2	1	no	—
1183	#121	C₂³×C₄₁	1	1	yes	characteristic
1184	#121	C₂³×C₄₁	1	1	yes	characteristic
1185	#121	C₂³×C₄₁	1	1	yes	characteristic
1186	#121	C₂³×C₄₁	1	1	yes	characteristic
1187	#121	C₂³×C₄₁	1	1	yes	characteristic
1188	#121	C₂³×C₄₁	1	1	yes	characteristic
1189	#121	C₂³×C₄₁	1	1	yes	characteristic
1190	#121	C₂³×C₄₁	1	1	yes	characteristic
1191	#120	—	2	1	no	—
1192	#120	—	2	1	no	—
1193	#120	—	2	1	no	—
1194	#120	—	2	1	no	—
1195	C₄×Q₈	—	2	1	no	—
1196	C₄×Q₈	—	2	1	no	—
1197	C₄×Q₈	—	2	1	no	—
1198	C₄×Q₈	—	2	1	no	—
1199	C₄×Q₈	D₄×C₄₁	1	1	yes	characteristic
1200	C₄×Q₈	C₂³×C₄₁	1	1	yes	characteristic
1201	C₄×Q₈	C₂³×C₄₁	1	1	yes	characteristic
1202	C₄×Q₈	C₂³×C₄₁	1	1	yes	characteristic
1203	C₄×Q₈	C₂³×C₄₁	1	1	yes	characteristic
1204	C₄×Q₈	C₂³×C₄₁	1	1	yes	characteristic
1205	C₄×Q₈	C₂³×C₄₁	1	1	yes	characteristic
1206	C₄×Q₈	C₂³×C₄₁	1	1	yes	characteristic
1207	C₄×Q₈	C₂³×C₄₁	1	1	yes	characteristic
1208	C₄×Q₈	C₂³×C₄₁	1	1	yes	characteristic
1209	C₄×D₄	—	2	1	no	—
1210	C₄×D₄	—	2	1	no	—
1211	C₄×D₄	—	2	1	no	—
1212	C₄×D₄	—	2	1	no	—
1213	C₄×D₄	—	2	1	no	—
1214	C₄×D₄	—	2	1	no	—
1215	C₄×D₄	—	2	1	no	—
1216	C₄×D₄	—	2	1	no	—
1217	C₄×D₄	—	2	1	no	—
1218	C₄×D₄	—	2	1	no	—
1219	C₄×D₄	—	2	1	no	—
1220	C₄×D₄	—	2	1	no	—
1221	C₄×D₄	—	2	1	no	—
1222	C₄×D₄	—	2	1	no	—
1223	C₄×D₄	—	2	1	no	—
1224	C₄×D₄	—	2	1	no	—
1225	C₄×D₄	—	2	1	no	—
1226	C₄×D₄	—	2	1	no	—
1227	C₄×D₄	—	2	1	no	—
1228	C₄×D₄	—	2	1	no	—
1229	C₄×D₄	—	2	1	no	—
1230	C₄×D₄	—	2	1	no	—
1231	C₄×D₄	—	2	1	no	—
1232	C₄×D₄	—	2	1	no	—
1233	C₄×D₄	—	2	1	no	—
1234	C₄×D₄	—	2	1	no	—
1235	C₄×D₄	D₄×C₄₁	1	1	yes	characteristic
1236	C₄×D₄	D₄×C₄₁	1	1	yes	characteristic
1237	C₄×D₄	D₄×C₄₁	1	1	yes	characteristic
1238	C₄×D₄	C₂³×C₄₁	1	1	yes	characteristic
1239	C₄×D₄	C₂³×C₄₁	1	1	yes	characteristic
1240	C₄×D₄	C₂³×C₄₁	1	1	yes	characteristic
1241	C₄×D₄	C₂³×C₄₁	1	1	yes	characteristic
1242	C₄×D₄	C₂³×C₄₁	1	1	yes	characteristic
1243	C₄×D₄	C₂³×C₄₁	1	1	yes	characteristic
1244	C₄×D₄	C₂³×C₄₁	1	1	yes	characteristic
1245	C₄×D₄	C₂³×C₄₁	1	1	yes	characteristic
1246	C₄×D₄	C₂³×C₄₁	1	1	yes	characteristic
1247	C₄×D₄	C₂³×C₄₁	1	1	yes	characteristic
1248	C₄×D₄	C₂³×C₄₁	1	1	yes	characteristic
1249	C₄×D₄	C₂³×C₄₁	1	1	yes	characteristic
1250	C₄×D₄	C₂³×C₄₁	1	1	yes	characteristic
1251	C₄×D₄	C₂³×C₄₁	1	1	yes	characteristic
1252	C₄×D₄	C₂³×C₄₁	1	1	yes	characteristic
1253	#117	—	2	1	no	—
1254	#117	—	2	1	no	—
1255	#117	—	2	1	no	—
1256	#117	—	2	1	no	—
1257	#117	—	2	1	no	—
1258	#117	—	2	1	no	—
1259	#117	—	2	1	no	—
1260	#117	D₄×C₄₁	1	1	yes	characteristic
1261	#117	D₄×C₄₁	1	1	yes	characteristic
1262	#117	D₄×C₄₁	1	1	yes	characteristic
1263	#117	C₂³×C₄₁	1	1	yes	characteristic
1264	#117	C₂³×C₄₁	1	1	yes	characteristic
1265	#117	C₂³×C₄₁	1	1	yes	characteristic
1266	C₂×C₄⋊C₄	—	2	1	no	—
1267	C₂×C₄⋊C₄	—	2	1	no	—
1268	C₂×C₄⋊C₄	C₂³×C₄₁	1	1	yes	characteristic
1269	C₂×C₄⋊C₄	C₂³×C₄₁	1	1	yes	characteristic
1270	C₂×C₄⋊C₄	C₂³×C₄₁	1	1	yes	characteristic
1271	C₂×C₂²⋊C₄	—	2	1	no	—
1272	C₂×C₂²⋊C₄	—	2	1	no	—
1273	C₂×C₂²⋊C₄	—	2	1	no	—
1274	C₂×C₂²⋊C₄	—	2	1	no	—
1275	C₂×C₄²	—	2	1	no	—
1276	C₂×C₄²	—	2	1	no	—
1277	C₂×C₄²	—	2	1	no	—
1278	C₂×C₄²	—	2	1	no	—
1279	C₂×C₄²	C₂³×C₄₁	1	1	yes	characteristic
1280	C₂×C₄²	C₂³×C₄₁	1	1	yes	characteristic
1281	C₂×C₄²	C₂³×C₄₁	1	1	yes	characteristic
1282	#107	C₂³×C₄₁	1	1	yes	characteristic
1283	#107	C₂³×C₄₁	1	1	yes	characteristic
1284	#107	C₂³×C₄₁	1	1	yes	characteristic
1285	#107	C₂³×C₄₁	1	1	yes	characteristic
1286	#107	C₂³×C₄₁	1	1	yes	characteristic
1287	#107	C₂³×C₄₁	1	1	yes	characteristic
1288	#107	C₂³×C₄₁	1	1	yes	characteristic
1289	#107	C₂³×C₄₁	1	1	yes	characteristic
1290	#106	C₂³×C₄₁	1	1	yes	characteristic
1291	#106	C₂³×C₄₁	1	1	yes	characteristic
1292	#106	C₂³×C₄₁	1	1	yes	characteristic
1293	#106	C₂³×C₄₁	1	1	yes	characteristic
1294	#106	C₂³×C₄₁	1	1	yes	characteristic
1295	#106	C₂³×C₄₁	1	1	yes	characteristic
1296	#106	C₂³×C₄₁	1	1	yes	characteristic
1297	#106	C₂³×C₄₁	1	1	yes	characteristic
1298	C₄⋊C₈	C₂³×C₄₁	1	1	yes	characteristic
1299	C₄⋊C₈	C₂³×C₄₁	1	1	yes	characteristic
1300	C₄⋊C₈	C₂³×C₄₁	1	1	yes	characteristic
1301	C₄⋊C₈	C₂³×C₄₁	1	1	yes	characteristic
1302	C₄⋊C₈	C₂³×C₄₁	1	1	yes	characteristic
1303	C₄⋊C₈	C₂³×C₄₁	1	1	yes	characteristic
1304	#103	C₂³×C₄₁	1	1	yes	characteristic
1305	#103	C₂³×C₄₁	1	1	yes	characteristic
1306	#103	C₂³×C₄₁	1	1	yes	characteristic
1307	#103	C₂³×C₄₁	1	1	yes	characteristic
1308	#103	C₂³×C₄₁	1	1	yes	characteristic
1309	#103	C₂³×C₄₁	1	1	yes	characteristic
1310	#103	C₂³×C₄₁	1	1	yes	characteristic
1311	#103	C₂³×C₄₁	1	1	yes	characteristic
1312	#103	C₂³×C₄₁	1	1	yes	characteristic
1313	#103	C₂³×C₄₁	1	1	yes	characteristic
1314	#103	C₂³×C₄₁	1	1	yes	characteristic
1315	#103	C₂³×C₄₁	1	1	yes	characteristic
1316	#102	C₂³×C₄₁	1	1	yes	characteristic
1317	#102	C₂³×C₄₁	1	1	yes	characteristic
1318	#102	C₂³×C₄₁	1	1	yes	characteristic
1319	#102	C₂³×C₄₁	1	1	yes	characteristic
1320	#102	C₂³×C₄₁	1	1	yes	characteristic
1321	#102	C₂³×C₄₁	1	1	yes	characteristic
1322	#102	C₂³×C₄₁	1	1	yes	characteristic
1323	#102	C₂³×C₄₁	1	1	yes	characteristic
1324	#102	C₂³×C₄₁	1	1	yes	characteristic
1325	#102	C₂³×C₄₁	1	1	yes	characteristic
1326	#102	C₂³×C₄₁	1	1	yes	characteristic
1327	#102	C₂³×C₄₁	1	1	yes	characteristic
1328	#102	C₂³×C₄₁	1	1	yes	characteristic
1329	#102	C₂³×C₄₁	1	1	yes	characteristic
1330	#102	C₂³×C₄₁	1	1	yes	characteristic
1331	#102	C₂³×C₄₁	1	1	yes	characteristic
1332	#102	C₂³×C₄₁	1	1	yes	characteristic
1333	#102	C₂³×C₄₁	1	1	yes	characteristic
1334	#102	C₂³×C₄₁	1	1	yes	characteristic
1335	#102	C₂³×C₄₁	1	1	yes	characteristic
1336	C₂²⋊C₈	C₂³×C₄₁	1	1	yes	characteristic
1337	C₂²⋊C₈	C₂³×C₄₁	1	1	yes	characteristic
1338	C₂²⋊C₈	C₂³×C₄₁	1	1	yes	characteristic
1339	C₂²⋊C₈	C₂³×C₄₁	1	1	yes	characteristic
1340	C₂²⋊C₈	C₂³×C₄₁	1	1	yes	characteristic
1341	C₂²⋊C₈	C₂³×C₄₁	1	1	yes	characteristic
1342	#97	C₂³×C₄₁	1	1	yes	characteristic
1343	#97	C₂³×C₄₁	1	1	yes	characteristic
1344	#97	C₂³×C₄₁	1	1	yes	characteristic
1345	#97	C₂³×C₄₁	1	1	yes	characteristic
1346	#97	C₂³×C₄₁	1	1	yes	characteristic
1347	#97	C₂³×C₄₁	1	1	yes	characteristic
1348	#97	C₂³×C₄₁	1	1	yes	characteristic
1349	#97	C₂³×C₄₁	1	1	yes	characteristic
1350	C₄×C₈	C₂³×C₄₁	1	1	yes	characteristic
1351	C₄×C₈	C₂³×C₄₁	1	1	yes	characteristic
1352	C₂⁴	—	2	1	no	—
1353	C₂⁴	—	2	1	no	—
1354	#41	—	2	2	no	—
1355	#41	—	2	2	no	—
1356	#41	—	2	2	no	—
1357	#41	—	4	2	no	—
1358	#41	—	4	1	no	—
1359	#41	—	4	1	no	—
1360	#41	—	4	1	no	—
1361	#41	—	4	4	no	—
1362	#41	—	8	2	no	—
1363	C₂×Q₈	—	2	1	no	—
1364	C₂×Q₈	—	2	1	no	—
1365	C₂×Q₈	—	2	1	no	—
1366	C₂×Q₈	—	2	2	no	—
1367	C₂×Q₈	—	4	1	no	—
1368	C₂×Q₈	C₂×D₄×C₄₁	1	1	yes	characteristic
1369	C₂×Q₈	C₂⁴×C₄₁	1	1	yes	characteristic
1370	C₂×Q₈	C₂⁴×C₄₁	1	1	yes	characteristic
1371	C₂×Q₈	C₂⁴×C₄₁	1	1	yes	characteristic
1372	C₂×D₄	—	2	2	no	—
1373	C₂×D₄	—	2	2	no	—
1374	C₂×D₄	—	2	1	no	—
1375	C₂×D₄	—	2	1	no	—
1376	C₂×D₄	—	2	1	no	—
1377	C₂×D₄	—	2	1	no	—
1378	C₂×D₄	—	2	1	no	—
1379	C₂×D₄	—	2	1	no	—
1380	C₂×D₄	—	2	1	no	—
1381	C₂×D₄	—	2	1	no	—
1382	C₂×D₄	—	2	1	no	—
1383	C₂×D₄	—	2	1	no	—
1384	C₂×D₄	—	2	1	no	—
1385	C₂×D₄	—	2	1	no	—
1386	C₂×D₄	—	2	1	no	—
1387	C₂×D₄	—	2	1	no	—
1388	C₂×D₄	—	2	1	no	—
1389	C₂×D₄	—	2	1	no	—
1390	C₂×D₄	—	2	1	no	—
1391	C₂×D₄	—	4	1	no	—
1392	C₂×D₄	—	4	1	no	—
1393	C₂×D₄	—	4	4	no	—
1394	C₂×D₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1395	C₂×D₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1396	C₂×D₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1397	C₂×D₄	C₂⁴×C₄₁	1	1	yes	characteristic
1398	C₂×D₄	C₂⁴×C₄₁	1	1	yes	characteristic
1399	C₂×D₄	C₂⁴×C₄₁	1	1	yes	characteristic
1400	C₂×D₄	C₂⁴×C₄₁	1	1	yes	characteristic
1401	C₂×D₄	C₂⁴×C₄₁	1	1	yes	characteristic
1402	C₂²×C₄	—	2	1	no	—
1403	C₂²×C₄	—	2	1	no	—
1404	C₂²×C₄	—	2	1	no	—
1405	C₂²×C₄	—	2	1	no	—
1406	C₂²×C₄	—	2	1	no	—
1407	C₂²×C₄	—	2	1	no	—
1408	C₂²×C₄	—	2	1	no	—
1409	C₂²×C₄	—	2	1	no	—
1410	C₂²×C₄	—	2	1	no	—
1411	C₂²×C₄	—	2	1	no	—
1412	C₂²×C₄	—	2	1	no	—
1413	C₂²×C₄	—	2	1	no	—
1414	C₂²×C₄	—	2	1	no	—
1415	C₂²×C₄	—	2	1	no	—
1416	C₂²×C₄	—	2	1	no	—
1417	C₂²×C₄	—	2	1	no	—
1418	C₂²×C₄	—	2	1	no	—
1419	C₂²×C₄	—	2	1	no	—
1420	C₂²×C₄	—	2	1	no	—
1421	C₂²×C₄	—	8	2	no	—
1422	C₂²×C₄	—	8	2	no	—
1423	C₂²×C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1424	C₂²×C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1425	C₂²×C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1426	C₂²×C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1427	C₂²×C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1428	C₂²×C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1429	C₂²×C₄	C₂⁴×C₄₁	1	1	yes	characteristic
1430	C₂²×C₄	C₂⁴×C₄₁	1	1	yes	characteristic
1431	C₂²×C₄	C₂⁴×C₄₁	1	1	yes	characteristic
1432	Q₁₆	—	2	2	no	—
1433	Q₁₆	—	4	1	no	—
1434	SD₁₆	—	2	2	no	—
1435	SD₁₆	—	2	2	no	—
1436	SD₁₆	—	2	2	no	—
1437	SD₁₆	—	2	2	no	—
1438	SD₁₆	—	2	2	no	—
1439	SD₁₆	—	4	1	no	—
1440	SD₁₆	—	4	1	no	—
1441	SD₁₆	#41×C₄₁	1	4	yes	complemented
1442	D₈	—	2	2	no	—
1443	D₈	—	2	2	no	—
1444	D₈	—	2	2	no	—
1445	D₈	—	4	1	no	—
1446	D₈	—	4	1	no	—
1447	D₈	—	4	1	no	—
1448	M₁₆	—	2	2	no	—
1449	M₁₆	—	4	1	no	—
1450	C₂×C₈	—	2	2	no	—
1451	C₂×C₈	—	2	2	no	—
1452	C₂×C₈	—	4	1	no	—
1453	C₂×C₈	—	4	1	no	—
1454	C₂×C₈	C₂⁴×C₄₁	1	1	yes	characteristic
1455	C₂×C₈	C₂⁴×C₄₁	1	1	yes	characteristic
1456	C₂×C₈	C₂⁴×C₄₁	1	1	yes	characteristic
1457	C₂×C₈	C₂⁴×C₄₁	1	1	yes	characteristic
1458	C₂×C₈	C₂⁴×C₄₁	1	1	yes	characteristic
1459	C₂×C₈	C₂⁴×C₄₁	1	1	yes	characteristic
1460	C₂×C₈	C₂⁴×C₄₁	1	1	yes	characteristic
1461	C₂×C₈	C₂⁴×C₄₁	1	1	yes	characteristic
1462	C₄⋊C₄	—	2	1	no	—
1463	C₄⋊C₄	—	2	1	no	—
1464	C₄⋊C₄	—	2	1	no	—
1465	C₄⋊C₄	—	2	1	no	—
1466	C₄⋊C₄	—	2	1	no	—
1467	C₄⋊C₄	—	2	1	no	—
1468	C₄⋊C₄	—	2	1	no	—
1469	C₄⋊C₄	—	2	1	no	—
1470	C₄⋊C₄	—	2	1	no	—
1471	C₄⋊C₄	—	2	1	no	—
1472	C₄⋊C₄	—	2	1	no	—
1473	C₄⋊C₄	—	2	1	no	—
1474	C₄⋊C₄	—	2	1	no	—
1475	C₄⋊C₄	—	2	1	no	—
1476	C₄⋊C₄	—	2	1	no	—
1477	C₄⋊C₄	—	2	1	no	—
1478	C₄⋊C₄	—	2	1	no	—
1479	C₄⋊C₄	—	2	1	no	—
1480	C₄⋊C₄	—	2	1	no	—
1481	C₄⋊C₄	—	2	1	no	—
1482	C₄⋊C₄	—	2	1	no	—
1483	C₄⋊C₄	—	2	1	no	—
1484	C₄⋊C₄	—	2	1	no	—
1485	C₄⋊C₄	—	2	1	no	—
1486	C₄⋊C₄	—	2	1	no	—
1487	C₄⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1488	C₄⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1489	C₄⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1490	C₄⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1491	C₄⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1492	C₄⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1493	C₄⋊C₄	C₂⁴×C₄₁	1	1	yes	characteristic
1494	C₄⋊C₄	C₂⁴×C₄₁	1	1	yes	characteristic
1495	C₄⋊C₄	C₂⁴×C₄₁	1	1	yes	characteristic
1496	C₄⋊C₄	C₂⁴×C₄₁	1	1	yes	characteristic
1497	C₄⋊C₄	C₂⁴×C₄₁	1	1	yes	characteristic
1498	C₄⋊C₄	C₂⁴×C₄₁	1	1	yes	characteristic
1499	C₄⋊C₄	C₂⁴×C₄₁	1	1	yes	characteristic
1500	C₄⋊C₄	C₂⁴×C₄₁	1	1	yes	characteristic
1501	C₂²⋊C₄	—	2	1	no	—
1502	C₂²⋊C₄	—	2	1	no	—
1503	C₂²⋊C₄	—	2	1	no	—
1504	C₂²⋊C₄	—	2	1	no	—
1505	C₂²⋊C₄	—	2	1	no	—
1506	C₂²⋊C₄	—	2	1	no	—
1507	C₂²⋊C₄	—	2	1	no	—
1508	C₂²⋊C₄	—	2	1	no	—
1509	C₂²⋊C₄	—	2	1	no	—
1510	C₂²⋊C₄	—	2	1	no	—
1511	C₂²⋊C₄	—	2	1	no	—
1512	C₂²⋊C₄	—	2	1	no	—
1513	C₂²⋊C₄	—	2	1	no	—
1514	C₂²⋊C₄	—	2	1	no	—
1515	C₂²⋊C₄	—	2	1	no	—
1516	C₂²⋊C₄	—	2	1	no	—
1517	C₂²⋊C₄	—	2	1	no	—
1518	C₂²⋊C₄	—	2	1	no	—
1519	C₂²⋊C₄	—	2	1	no	—
1520	C₂²⋊C₄	—	2	1	no	—
1521	C₂²⋊C₄	—	2	1	no	—
1522	C₂²⋊C₄	—	2	1	no	—
1523	C₂²⋊C₄	—	2	1	no	—
1524	C₂²⋊C₄	—	2	1	no	—
1525	C₂²⋊C₄	—	2	1	no	—
1526	C₂²⋊C₄	—	2	1	no	—
1527	C₂²⋊C₄	—	2	1	no	—
1528	C₂²⋊C₄	—	2	1	no	—
1529	C₂²⋊C₄	—	2	1	no	—
1530	C₂²⋊C₄	—	2	1	no	—
1531	C₂²⋊C₄	—	2	1	no	—
1532	C₂²⋊C₄	—	2	1	no	—
1533	C₂²⋊C₄	—	2	1	no	—
1534	C₂²⋊C₄	—	2	1	no	—
1535	C₂²⋊C₄	—	2	1	no	—
1536	C₂²⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1537	C₂²⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1538	C₂²⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1539	C₂²⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1540	C₂²⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1541	C₂²⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1542	C₄²	—	2	1	no	—
1543	C₄²	—	2	1	no	—
1544	C₄²	—	2	1	no	—
1545	C₄²	—	2	1	no	—
1546	C₄²	—	2	1	no	—
1547	C₄²	—	2	1	no	—
1548	C₄²	—	2	1	no	—
1549	C₄²	—	2	1	no	—
1550	C₄²	—	2	1	no	—
1551	C₄²	—	2	1	no	—
1552	C₄²	—	2	1	no	—
1553	C₄²	C₂×D₄×C₄₁	1	1	yes	characteristic
1554	C₄²	C₂×D₄×C₄₁	1	1	yes	characteristic
1555	C₄²	C₂×D₄×C₄₁	1	1	yes	characteristic
1556	C₄²	C₂×D₄×C₄₁	1	1	yes	characteristic
1557	C₄²	C₂×D₄×C₄₁	1	1	yes	characteristic
1558	C₄²	C₂×D₄×C₄₁	1	1	yes	characteristic
1559	C₄²	C₂⁴×C₄₁	1	1	yes	characteristic
1560	C₄²	C₂⁴×C₄₁	1	1	yes	characteristic
1561	C₄²	C₂⁴×C₄₁	1	1	yes	characteristic
1562	C₄²	C₂⁴×C₄₁	1	1	yes	characteristic
1563	C₂³	—	2	1	no	—
1564	C₂³	—	2	1	no	—
1565	C₂³	—	2	1	no	—
1566	C₂³	—	2	1	no	—
1567	C₂³	—	2	1	no	—
1568	C₂³	—	4	2	no	—
1569	C₂³	—	4	2	no	—
1570	C₂³	—	4	2	no	—
1571	C₂³	—	4	2	no	—
1572	C₂³	—	8	1	no	—
1573	C₂³	—	8	1	no	—
1574	C₂³	C₂²×D₄×C₄₁	1	1	yes	characteristic
1575	C₂³	C₂²×D₄×C₄₁	1	1	yes	characteristic
1576	C₂³	C₂²×D₄×C₄₁	1	1	yes	characteristic
1577	Q₈	—	2	1	no	—
1578	Q₈	—	2	1	no	—
1579	Q₈	—	2	1	no	—
1580	Q₈	—	2	1	no	—
1581	Q₈	—	2	1	no	—
1582	Q₈	—	4	1	no	—
1583	Q₈	—	4	2	no	—
1584	Q₈	—	4	2	no	—
1585	Q₈	—	8	1	no	—
1586	Q₈	C₂×#41×C₄₁	1	2	yes	—
1587	D₄	—	2	2	no	—
1588	D₄	—	2	2	no	—
1589	D₄	—	2	1	no	—
1590	D₄	—	2	1	no	—
1591	D₄	—	2	1	no	—
1592	D₄	—	2	1	no	—
1593	D₄	—	2	1	no	—
1594	D₄	—	2	1	no	—
1595	D₄	—	2	1	no	—
1596	D₄	—	2	1	no	—
1597	D₄	—	2	1	no	—
1598	D₄	—	4	1	no	—
1599	D₄	—	4	2	no	—
1600	D₄	—	4	2	no	—
1601	D₄	—	4	2	no	—
1602	D₄	—	4	2	no	—
1603	D₄	—	4	2	no	—
1604	D₄	—	4	2	no	—
1605	D₄	—	4	2	no	—
1606	D₄	—	4	2	no	—
1607	D₄	—	4	2	no	—
1608	D₄	—	4	2	no	—
1609	D₄	—	4	2	no	—
1610	D₄	—	8	1	no	—
1611	D₄	—	8	1	no	—
1612	D₄	—	8	1	no	—
1613	D₄	—	8	1	no	—
1614	D₄	—	8	1	no	—
1615	D₄	—	8	1	no	—
1616	D₄	C₂×#41×C₄₁	1	2	yes	—
1617	C₂×C₄	—	2	2	no	—
1618	C₂×C₄	—	2	1	no	—
1619	C₂×C₄	—	2	1	no	—
1620	C₂×C₄	—	2	1	no	—
1621	C₂×C₄	—	2	1	no	—
1622	C₂×C₄	—	2	1	no	—
1623	C₂×C₄	—	2	1	no	—
1624	C₂×C₄	—	2	1	no	—
1625	C₂×C₄	—	2	1	no	—
1626	C₂×C₄	—	2	1	no	—
1627	C₂×C₄	—	2	1	no	—
1628	C₂×C₄	—	2	1	no	—
1629	C₂×C₄	—	2	1	no	—
1630	C₂×C₄	—	2	1	no	—
1631	C₂×C₄	—	2	1	no	—
1632	C₂×C₄	—	2	1	no	—
1633	C₂×C₄	—	2	1	no	—
1634	C₂×C₄	—	2	1	no	—
1635	C₂×C₄	—	4	1	no	—
1636	C₂×C₄	—	4	1	no	—
1637	C₂×C₄	—	4	1	no	—
1638	C₂×C₄	—	4	1	no	—
1639	C₂×C₄	—	4	1	no	—
1640	C₂×C₄	—	4	2	no	—
1641	C₂×C₄	—	4	2	no	—
1642	C₂×C₄	—	4	2	no	—
1643	C₂×C₄	—	4	2	no	—
1644	C₂×C₄	—	4	2	no	—
1645	C₂×C₄	—	4	2	no	—
1646	C₂×C₄	—	4	2	no	—
1647	C₂×C₄	—	4	2	no	—
1648	C₂×C₄	—	4	2	no	—
1649	C₂×C₄	—	4	2	no	—
1650	C₂×C₄	—	8	1	no	—
1651	C₂×C₄	—	8	1	no	—
1652	C₂×C₄	—	8	1	no	—
1653	C₂×C₄	—	8	1	no	—
1654	C₂×C₄	—	8	1	no	—
1655	C₂×C₄	—	8	1	no	—
1656	C₂×C₄	—	8	1	no	—
1657	C₂×C₄	—	8	1	no	—
1658	C₂×C₄	—	8	1	no	—
1659	C₂×C₄	C₂²×D₄×C₄₁	1	1	yes	characteristic
1660	C₂×C₄	C₂²×D₄×C₄₁	1	1	yes	characteristic
1661	C₂×C₄	C₂²×D₄×C₄₁	1	1	yes	characteristic
1662	C₂×C₄	C₂²×D₄×C₄₁	1	1	yes	characteristic
1663	C₂×C₄	C₂²×D₄×C₄₁	1	1	yes	characteristic
1664	C₂×C₄	C₂²×D₄×C₄₁	1	1	yes	characteristic
1665	C₂×C₄	C₂²×D₄×C₄₁	1	1	yes	characteristic
1666	C₂×C₄	C₂²×D₄×C₄₁	1	1	yes	characteristic
1667	C₂×C₄	C₂²×D₄×C₄₁	1	1	yes	characteristic
1668	C₂×C₄	C₂²×D₄×C₄₁	1	1	yes	characteristic
1669	C₂×C₄	C₂²×D₄×C₄₁	1	1	yes	characteristic
1670	C₂×C₄	C₂⁵×C₄₁	1	1	yes	characteristic
1671	C₈	—	2	1	no	—
1672	C₈	—	2	1	no	—
1673	C₈	—	2	1	no	—
1674	C₈	—	2	1	no	—
1675	C₈	—	2	1	no	—
1676	C₈	—	2	1	no	—
1677	C₈	—	2	1	no	—
1678	C₈	C₂×#41×C₄₁	1	2	yes	—
1679	C₂²	—	2	1	no	—
1680	C₂²	—	2	1	no	—
1681	C₂²	—	2	1	no	—
1682	C₂²	—	2	1	no	—
1683	C₂²	—	2	1	no	—
1684	C₂²	—	2	1	no	—
1685	C₂²	—	2	1	no	—
1686	C₂²	—	2	1	no	—
1687	C₂²	—	2	2	no	—
1688	C₂²	—	4	1	no	—
1689	C₂²	—	4	1	no	—
1690	C₂²	—	4	1	no	—
1691	C₂²	—	4	1	no	—
1692	C₂²	—	4	1	no	—
1693	C₂²	—	4	1	no	—
1694	C₂²	—	4	1	no	—
1695	C₂²	—	4	1	no	—
1696	C₂²	—	4	1	no	—
1697	C₂²	—	4	1	no	—
1698	C₂²	—	4	1	no	—
1699	C₂²	—	4	1	no	—
1700	C₂²	—	4	1	no	—
1701	C₂²	—	4	1	no	—
1702	C₂²	—	8	4	no	—
1703	C₂²	—	8	4	no	—
1704	C₂²	C₄₁×#575	1	2	yes	—
1705	C₂²	C₂³×D₄×C₄₁	1	1	yes	characteristic
1706	C₄	—	2	1	no	—
1707	C₄	—	2	1	no	—
1708	C₄	—	2	1	no	—
1709	C₄	—	2	1	no	—
1710	C₄	—	2	1	no	—
1711	C₄	—	2	1	no	—
1712	C₄	—	2	1	no	—
1713	C₄	—	2	1	no	—
1714	C₄	—	2	1	no	—
1715	C₄	—	2	1	no	—
1716	C₄	—	2	1	no	—
1717	C₄	—	2	2	no	—
1718	C₄	—	4	1	no	—
1719	C₄	—	4	1	no	—
1720	C₄	—	4	1	no	—
1721	C₄	—	4	1	no	—
1722	C₄	—	4	1	no	—
1723	C₄	—	4	1	no	—
1724	C₄	—	4	1	no	—
1725	C₄	—	4	1	no	—
1726	C₄	—	4	1	no	—
1727	C₄	—	4	1	no	—
1728	C₄	C₂²×#41×C₄₁	1	1	yes	characteristic
1729	C₄	C₄₁×#585	1	1	yes	characteristic
1730	C₂	—	2	2	no	—
1731	C₂	—	4	1	no	—
1732	C₂	—	4	1	no	—
1733	C₂	—	4	2	no	—
1734	C₂	—	8	1	no	—
1735	C₂	—	8	1	no	—
1736	C₂	—	8	1	no	—
1737	C₂	—	8	1	no	—
1738	C₂	D₄×#41×C₄₁	1	1	yes	characteristic
1739	C₂	C₂×C₄₁×#575	1	1	yes	characteristic
1740	C₂	C₄₁×#3585	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₄₁	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₄₁
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₄₁ ◁ C₄×#41×C₄₁ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₄₁×#3481	C₂	semidirect
2. C₄₁×#3480	C₂	semidirect
3. C₄₁×#3403	C₂	semidirect
4. C₄₁×#3388	C₂	semidirect
5. C₄₁×#3371	C₂	semidirect
6. C₄₁×#3370	C₂	semidirect
7. C₄₁×#3350	C₂	semidirect
8. C₄₁×#3346	C₂	semidirect
9. C₄₁×#3339	C₂	semidirect
10. C₄₁×#3318	C₂	semidirect
11. C₄₁×#3316	C₂	semidirect
12. C₄₁×#3311	C₂	semidirect
13. C₄₁×#3309	C₂	semidirect
14. C₄₁×#3301	C₂	semidirect
15. C₄₁×#3297	C₂	semidirect
16. C₄₁×#3282	C₂	semidirect
17. C₄₁×#3268	C₂	semidirect
18. C₄₁×#3265	C₂	semidirect
19. C₄₁×#3183	C₂	semidirect
20. C₄₁×#3180	C₂	semidirect
21. C₄₁×#3180	C₂	semidirect
22. C₄₁×#3117	C₂	semidirect
23. C₄₁×#3115	C₂	semidirect
24. C₄₁×#3114	C₂	semidirect
25. C₄₁×#3111	C₂	semidirect
26. C₄₁×#3111	C₂	semidirect
27. C₄₁×#3109	C₂	semidirect
28. C₄₁×#2970	C₂	semidirect
29. C₄×AGL(1,ℤ/8)×C₄₁	C₂	semidirect
30. C₄₁×#2943	C₂	semidirect
31. C₂×C₄₁×#440	C₂	semidirect
37. C₄₁×#559	C₂²	semidirect
38. C₄₁×#557	C₂²	semidirect
40. C₄₁×#556	C₂²	semidirect
49. C₄₁×#553	C₂²	semidirect
52. C₄₁×#550	C₂²	semidirect
54. C₄₁×#548	C₂²	semidirect
61. C₄₁×#532	C₂²	semidirect
67. C₄₁×#529	C₂²	semidirect
68. C₄₁×#529	C₂²	semidirect
74. C₄×#41×C₄₁	C₂²	semidirect
75. C₄×#41×C₄₁	C₂²	semidirect
76. C₂×C₄×Q₈×C₄₁	C₂²	semidirect
80. C₄₁×#501	C₂²	semidirect
81. C₄₁×#501	C₂²	semidirect
82. C₄₁×#499	C₂²	semidirect
84. C₄₁×#496	C₂²	semidirect
85. C₄₁×#495	C₂²	semidirect
87. C₄₁×#490	C₂²	semidirect
88. C₄₁×#489	C₂²	semidirect
89. C₄₁×#489	C₂²	semidirect
90. C₄₁×#488	C₂²	semidirect
91. C₄₁×#488	C₂²	semidirect
92. C₄₁×#485	C₂²	semidirect
93. C₄₁×#485	C₂²	semidirect
94. C₄₁×#484	C₂²	semidirect
95. C₄₁×#483	C₂²	semidirect
97. C₄₁×#482	C₂²	semidirect
98. C₄₁×#482	C₂²	semidirect
99. C₄₁×#482	C₂²	semidirect
101. C₄₁×#481	C₂²	semidirect
102. C₄₁×#481	C₂²	semidirect
103. C₄₁×#480	C₂²	semidirect
104. C₄₁×#479	C₂²	semidirect
105. C₄₁×#479	C₂²	semidirect
106. C₄₁×#479	C₂²	semidirect
107. C₄₁×#479	C₂²	semidirect
110. C₄₁×#478	C₂²	semidirect
111. C₄₁×#478	C₂²	semidirect
113. C₄₁×#476	C₂²	semidirect
114. C₄₁×#475	C₂²	semidirect
115. C₄₁×#474	C₂²	semidirect
116. C₄₁×#470	C₂²	semidirect
119. C₄₁×#468	C₂²	semidirect
122. C₄₁×#466	C₂²	semidirect
123. C₄₁×#466	C₂²	semidirect
124. C₄₁×#465	C₂²	semidirect
125. C₄₁×#465	C₂²	semidirect
126. C₄₁×#465	C₂²	semidirect
127. C₄₁×#465	C₂²	semidirect
128. C₄₁×#464	C₂²	semidirect
129. C₄₁×#464	C₂²	semidirect
130. C₄₁×#464	C₂²	semidirect
131. C₄₁×#464	C₂²	semidirect
134. C₄₁×#463	C₂²	semidirect
135. C₄₁×#463	C₂²	semidirect
139. C₄₁×#459	C₂²	semidirect
141. C₄₁×#452	C₂²	semidirect
142. C₄₁×#451	C₂²	semidirect
146. C₄₁×#449	C₂²	semidirect
147. C₄₁×#449	C₂²	semidirect
152. C₄₁×#446	C₂²	semidirect
153. C₄₁×#446	C₂²	semidirect
157. C₄₁×#442	C₂²	semidirect
158. C₄₁×#442	C₂²	semidirect
159. C₄₁×#442	C₂²	semidirect
160. C₄₁×#442	C₂²	semidirect
161. C₄₁×#441	C₂²	semidirect
162. C₄₁×#441	C₂²	semidirect
163. C₄₁×#441	C₂²	semidirect
169. C₄₁×#440	C₂²	semidirect
170. C₄₁×#440	C₂²	semidirect
171. C₄₁×#440	C₂²	semidirect
172. C₄₁×#440	C₂²	semidirect
173. C₄₁×#440	C₂²	semidirect
174. C₄₁×#440	C₂²	semidirect
175. C₄₁×#440	C₂²	semidirect
176. C₄₁×#440	C₂²	semidirect
177. C₄₁×#440	C₂²	semidirect
179. C₄×SD₁₆×C₄₁	C₂²	semidirect
181. C₄×D₈×C₄₁	C₂²	semidirect
184. C₄₁×#435	C₂²	semidirect
185. C₄₁×#435	C₂²	semidirect
186. C₈×D₄×C₄₁	C₂²	semidirect
187. C₈×D₄×C₄₁	C₂²	semidirect
188. C₄₁×#432	C₂²	semidirect
189. C₄₁×#432	C₂²	semidirect
190. C₄₁×#432	C₂²	semidirect
191. C₄₁×#428	C₂²	semidirect
192. C₄₁×#427	C₂²	semidirect
193. C₂×#107×C₄₁	C₂²	semidirect
195. C₄₁×#417	C₂²	semidirect
197. C₄₁×#416	C₂²	semidirect
198. C₂×#103×C₄₁	C₂²	semidirect
200. C₄×M₁₆×C₄₁	C₂²	semidirect
201. C₂×#97×C₄₁	C₂²	semidirect
202. C₂×#97×C₄₁	C₂²	semidirect
570. SD₁₆×C₄₁	#41	semidirect
808. #61456	C₄₁	direct (N × H)
860. #3481	C₂×C₄₁	semidirect
861. #3480	C₂×C₄₁	semidirect
862. #3403	C₂×C₄₁	semidirect
863. #3388	C₂×C₄₁	semidirect
864. #3371	C₂×C₄₁	semidirect
865. #3370	C₂×C₄₁	semidirect
866. #3350	C₂×C₄₁	semidirect
867. #3346	C₂×C₄₁	semidirect
868. #3339	C₂×C₄₁	semidirect
869. #3318	C₂×C₄₁	semidirect
870. #3316	C₂×C₄₁	semidirect
871. #3311	C₂×C₄₁	semidirect
872. #3309	C₂×C₄₁	semidirect
873. #3301	C₂×C₄₁	semidirect
874. #3297	C₂×C₄₁	semidirect
875. #3282	C₂×C₄₁	semidirect
876. #3268	C₂×C₄₁	semidirect
877. #3265	C₂×C₄₁	semidirect
878. #3183	C₂×C₄₁	semidirect
879. #3180	C₂×C₄₁	semidirect
880. #3180	C₂×C₄₁	semidirect
881. #3117	C₂×C₄₁	semidirect
882. #3115	C₂×C₄₁	semidirect
883. #3114	C₂×C₄₁	semidirect
884. #3111	C₂×C₄₁	semidirect
885. #3111	C₂×C₄₁	semidirect
886. #3109	C₂×C₄₁	semidirect
887. #2970	C₂×C₄₁	semidirect
888. C₄×AGL(1,ℤ/8)	C₂×C₄₁	semidirect
889. #2943	C₂×C₄₁	semidirect
890. C₂×#440	C₂×C₄₁	semidirect
907. #559	C₂²×C₄₁	semidirect
908. #557	C₂²×C₄₁	semidirect
910. #556	C₂²×C₄₁	semidirect
919. #553	C₂²×C₄₁	semidirect
922. #550	C₂²×C₄₁	semidirect
924. #548	C₂²×C₄₁	semidirect
931. #532	C₂²×C₄₁	semidirect
937. #529	C₂²×C₄₁	semidirect
938. #529	C₂²×C₄₁	semidirect
944. C₄×#41	C₂²×C₄₁	semidirect
945. C₄×#41	C₂²×C₄₁	semidirect
946. C₂×C₄×Q₈	C₂²×C₄₁	semidirect
950. #501	C₂²×C₄₁	semidirect
951. #501	C₂²×C₄₁	semidirect
952. #499	C₂²×C₄₁	semidirect
954. #496	C₂²×C₄₁	semidirect
955. #495	C₂²×C₄₁	semidirect
957. #490	C₂²×C₄₁	semidirect
958. #489	C₂²×C₄₁	semidirect
959. #489	C₂²×C₄₁	semidirect
960. #488	C₂²×C₄₁	semidirect
961. #488	C₂²×C₄₁	semidirect
962. #485	C₂²×C₄₁	semidirect
963. #485	C₂²×C₄₁	semidirect
964. #484	C₂²×C₄₁	semidirect
965. #483	C₂²×C₄₁	semidirect
967. #482	C₂²×C₄₁	semidirect
968. #482	C₂²×C₄₁	semidirect
969. #482	C₂²×C₄₁	semidirect
971. #481	C₂²×C₄₁	semidirect
972. #481	C₂²×C₄₁	semidirect
973. #480	C₂²×C₄₁	semidirect
974. #479	C₂²×C₄₁	semidirect
975. #479	C₂²×C₄₁	semidirect
976. #479	C₂²×C₄₁	semidirect
977. #479	C₂²×C₄₁	semidirect
980. #478	C₂²×C₄₁	semidirect
981. #478	C₂²×C₄₁	semidirect
983. #476	C₂²×C₄₁	semidirect
984. #475	C₂²×C₄₁	semidirect
985. #474	C₂²×C₄₁	semidirect
986. #470	C₂²×C₄₁	semidirect
989. #468	C₂²×C₄₁	semidirect
992. #466	C₂²×C₄₁	semidirect
993. #466	C₂²×C₄₁	semidirect
994. #465	C₂²×C₄₁	semidirect
995. #465	C₂²×C₄₁	semidirect
996. #465	C₂²×C₄₁	semidirect
997. #465	C₂²×C₄₁	semidirect
998. #464	C₂²×C₄₁	semidirect
999. #464	C₂²×C₄₁	semidirect
1000. #464	C₂²×C₄₁	semidirect
1001. #464	C₂²×C₄₁	semidirect
1004. #463	C₂²×C₄₁	semidirect
1005. #463	C₂²×C₄₁	semidirect
1009. #459	C₂²×C₄₁	semidirect
1011. #452	C₂²×C₄₁	semidirect
1012. #451	C₂²×C₄₁	semidirect
1016. #449	C₂²×C₄₁	semidirect
1017. #449	C₂²×C₄₁	semidirect
1022. #446	C₂²×C₄₁	semidirect
1023. #446	C₂²×C₄₁	semidirect
1027. #442	C₂²×C₄₁	semidirect
1028. #442	C₂²×C₄₁	semidirect
1029. #442	C₂²×C₄₁	semidirect
1030. #442	C₂²×C₄₁	semidirect
1031. #441	C₂²×C₄₁	semidirect
1032. #441	C₂²×C₄₁	semidirect
1033. #441	C₂²×C₄₁	semidirect
1039. #440	C₂²×C₄₁	semidirect
1040. #440	C₂²×C₄₁	semidirect
1041. #440	C₂²×C₄₁	semidirect
1042. #440	C₂²×C₄₁	semidirect
1043. #440	C₂²×C₄₁	semidirect
1044. #440	C₂²×C₄₁	semidirect
1045. #440	C₂²×C₄₁	semidirect
1046. #440	C₂²×C₄₁	semidirect
1047. #440	C₂²×C₄₁	semidirect
1049. C₄×SD₁₆	C₂²×C₄₁	semidirect
1051. C₄×D₈	C₂²×C₄₁	semidirect
1054. #435	C₂²×C₄₁	semidirect
1055. #435	C₂²×C₄₁	semidirect
1056. C₈×D₄	C₂²×C₄₁	semidirect
1057. C₈×D₄	C₂²×C₄₁	semidirect
1058. #432	C₂²×C₄₁	semidirect
1059. #432	C₂²×C₄₁	semidirect
1060. #432	C₂²×C₄₁	semidirect
1061. #428	C₂²×C₄₁	semidirect
1062. #427	C₂²×C₄₁	semidirect
1063. C₂×#107	C₂²×C₄₁	semidirect
1065. #417	C₂²×C₄₁	semidirect
1067. #416	C₂²×C₄₁	semidirect
1068. C₂×#103	C₂²×C₄₁	semidirect
1070. C₄×M₁₆	C₂²×C₄₁	semidirect
1071. C₂×#97	C₂²×C₄₁	semidirect
1072. C₂×#97	C₂²×C₄₁	semidirect
1073. C₄₁	#61456	direct (N × H)
1441. SD₁₆	#41×C₄₁	semidirect

Maximal subgroups

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

subgroup	index
C₄₁×#3481	2
C₄₁×#3480	2
C₄₁×#3403	2
C₄₁×#3388	2
C₄₁×#3371	2
C₄₁×#3370	2
C₄₁×#3350	2
C₄₁×#3346	2
C₄₁×#3339	2
C₄₁×#3318	2
C₄₁×#3316	2
C₄₁×#3311	2
C₄₁×#3309	2
C₄₁×#3301	2
C₄₁×#3297	2
C₄₁×#3282	2
C₄₁×#3268	2
C₄₁×#3265	2
C₄₁×#3183	2
C₄₁×#3180	2
C₄₁×#3117	2
C₄₁×#3115	2
C₄₁×#3114	2
C₄₁×#3111	2
C₄₁×#3109	2
C₄₁×#2970	2
C₄×AGL(1,ℤ/8)×C₄₁	2
C₄₁×#2943	2
C₂×C₄₁×#440	2
#61456	41

Subgroups — C41×#61456 #23837657

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₄₁×#61456 #23837657