Subgroups — C₄₁×#62076 #23838277

Order 10496.

1842 conjugacy classes of subgroups.

The subgroup lattice has 1772 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₄₁×#3562	C₂	1	1	yes	maximal, characteristic, complemented
2	C₄₁×#3520	C₂	1	1	yes	maximal, characteristic, complemented
3	C₄₁×#3402	C₂	1	1	yes	maximal, characteristic, complemented
4	C₄₁×#3401	C₂	1	1	yes	maximal, characteristic, complemented
5	C₄₁×#3373	C₂	1	1	yes	maximal, characteristic, complemented
6	C₄₁×#3367	C₂	1	1	yes	maximal, characteristic, complemented
7	C₄₁×#3333	C₂	1	1	yes	maximal, characteristic, complemented
8	C₄₁×#3331	C₂	1	1	yes	maximal, characteristic, complemented
9	C₄₁×#3316	C₂	1	1	yes	maximal, characteristic, complemented
10	C₄₁×#3314	C₂	1	1	yes	maximal, characteristic, complemented
11	C₄₁×#3308	C₂	1	1	yes	maximal, characteristic, complemented
12	C₄₁×#3306	C₂	1	1	yes	maximal, characteristic, complemented
13	C₄₁×#3275	C₂	1	1	yes	maximal, characteristic, complemented
14	C₄₁×#3273	C₂	1	1	yes	maximal, characteristic, complemented
15	C₄₁×#3269	C₂	1	1	yes	maximal, characteristic, complemented
16	C₄₁×#3268	C₂	1	1	yes	maximal, characteristic, complemented
17	C₄₁×#3267	C₂	1	1	yes	maximal, characteristic, complemented
18	C₄₁×#3267	C₂	1	1	yes	maximal, characteristic, complemented
19	C₄₁×#3258	C₂	1	1	yes	maximal, characteristic, complemented
20	C₄₁×#3257	C₂	1	1	yes	maximal, characteristic, complemented
21	C₄₁×#3252	C₂	1	1	yes	maximal, characteristic, complemented
22	C₄₁×#3225	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄₁×#3224	C₂	1	1	yes	maximal, characteristic, complemented
24	C₄₁×#3216	C₂	1	1	yes	maximal, characteristic, complemented
25	C₄₁×#3120	C₂	1	1	yes	maximal, characteristic, complemented
26	C₄₁×#3119	C₂	1	1	yes	maximal, characteristic, complemented
27	C₄₁×#3114	C₂	1	1	yes	maximal, characteristic, complemented
28	C₄₁×#3046	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄₁×#3045	C₂	1	1	yes	maximal, characteristic, complemented
30	C₄₁×#3036	C₂	1	1	yes	maximal, characteristic, complemented
31	C₄₁×#2995	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#137×C₄₁	C₂²	1	1	yes	characteristic, complemented
33	C₂×AGL(1,ℤ/8)×C₄₁	C₂²	1	1	yes	characteristic
34	C₂×AGL(1,ℤ/8)×C₄₁	C₂²	1	1	yes	characteristic
35	C₂×AGL(1,ℤ/8)×C₄₁	C₂²	1	1	yes	characteristic, complemented
36	C₂×#135×C₄₁	C₂²	1	1	yes	characteristic
37	C₂×#135×C₄₁	C₂²	1	1	yes	characteristic
38	C₄₁×#562	—	2	1	no	—
39	C₄₁×#560	—	2	1	no	—
40	C₄₁×#559	C₂²	1	1	yes	characteristic, complemented
41	C₄₁×#556	C₂²	1	1	yes	characteristic, complemented
42	C₄₁×#556	C₂²	1	1	yes	characteristic, complemented
43	C₄₁×#554	C₂²	1	1	yes	characteristic
44	C₄₁×#554	C₂²	1	1	yes	characteristic, complemented
45	C₄₁×#553	—	2	1	no	—
46	C₄₁×#552	—	2	1	no	—
47	C₄₁×#551	—	2	1	no	—
48	C₄₁×#551	—	2	1	no	—
49	C₄₁×#551	—	2	1	no	—
50	C₄₁×#550	C₂²	1	1	yes	characteristic
51	D₄×Q₈×C₄₁	C₂²	1	1	yes	characteristic, complemented
52	C₄₁×#548	—	2	1	no	—
53	C₄₁×#548	C₂²	1	1	yes	characteristic
54	C₄₁×#548	C₂²	1	1	yes	characteristic, complemented
55	C₄₁×#547	C₂²	1	1	yes	characteristic
56	C₄₁×#547	C₂²	1	1	yes	characteristic
57	C₄₁×#547	C₂²	1	1	yes	characteristic
58	C₄₁×#546	C₂²	1	1	yes	characteristic
59	C₄₁×#546	C₂²	1	1	yes	characteristic
60	C₄₁×#546	C₂²	1	1	yes	characteristic, complemented
61	C₄₁×#546	C₂²	1	1	yes	characteristic, complemented
62	C₄₁×#542	C₂²	1	1	yes	characteristic
63	C₄₁×#542	C₂²	1	1	yes	characteristic, complemented
64	C₄₁×#541	C₂²	1	1	yes	characteristic, complemented
65	C₄₁×#540	—	2	1	no	—
66	C₄₁×#540	C₂²	1	1	yes	characteristic, complemented
67	C₄₁×#539	—	2	1	no	—
68	C₄₁×#539	—	2	1	no	—
69	C₄₁×#539	—	2	1	no	—
70	C₄₁×#538	—	2	1	no	—
71	C₄₁×#538	—	2	1	no	—
72	C₄₁×#536	C₂²	1	1	yes	characteristic, complemented
73	C₄₁×#535	C₂²	1	1	yes	characteristic, complemented
74	C₄₁×#533	C₂²	1	1	yes	characteristic, complemented
75	C₄₁×#532	C₂²	1	1	yes	characteristic
76	C₄₁×#529	C₂²	1	1	yes	characteristic
77	C₄₁×#529	C₂²	1	1	yes	characteristic
78	C₄₁×#525	—	2	1	no	—
79	C₂×C₂²⋊Q₈×C₄₁	—	2	1	no	—
80	C₄₁×#520	C₂²	1	1	yes	characteristic
81	C₄₁×#520	C₂²	1	1	yes	characteristic, complemented
82	C₂×C₄×D₄×C₄₁	C₂²	1	1	yes	characteristic, complemented
83	C₄₁×#497	C₂²	1	1	yes	characteristic, complemented
84	C₄₁×#497	C₂²	1	1	yes	characteristic, complemented
85	C₄₁×#497	C₂²	1	1	yes	characteristic, complemented
86	C₄₁×#496	C₂²	1	1	yes	characteristic
87	C₄₁×#495	C₂²	1	1	yes	characteristic
88	C₄₁×#495	C₂²	1	1	yes	characteristic
89	C₄₁×#489	C₂²	1	1	yes	characteristic, complemented
90	C₄₁×#489	C₂²	1	1	yes	characteristic, complemented
91	C₄₁×#489	C₂²	1	1	yes	characteristic, complemented
92	C₄₁×#489	C₂²	1	1	yes	characteristic, complemented
93	C₄₁×#487	C₂²	1	1	yes	characteristic, complemented
94	C₄₁×#486	C₂²	1	1	yes	characteristic, complemented
95	C₄₁×#484	C₂²	1	1	yes	characteristic, complemented
96	C₄₁×#483	C₂²	1	1	yes	characteristic, complemented
97	C₄₁×#483	C₂²	1	1	yes	characteristic, complemented
98	C₄₁×#481	C₂²	1	1	yes	characteristic, complemented
99	C₄₁×#480	C₂²	1	1	yes	characteristic
100	C₄₁×#480	C₂²	1	1	yes	characteristic, complemented
101	C₄₁×#479	C₂²	1	1	yes	characteristic, complemented
102	C₄₁×#479	C₂²	1	1	yes	characteristic, complemented
103	C₄₁×#478	C₂²	1	1	yes	characteristic, complemented
104	C₄₁×#478	C₂²	1	1	yes	characteristic, complemented
105	C₄₁×#477	C₂²	1	1	yes	characteristic, complemented
106	C₄₁×#477	C₂²	1	1	yes	characteristic, complemented
107	C₄₁×#476	C₂²	1	1	yes	characteristic, complemented
108	C₄₁×#476	C₂²	1	1	yes	characteristic, complemented
109	C₄₁×#475	C₂²	1	1	yes	characteristic, complemented
110	C₄₁×#474	C₂²	1	1	yes	characteristic, complemented
111	C₄₁×#470	C₂²	1	1	yes	characteristic, complemented
112	C₄₁×#470	C₂²	1	1	yes	characteristic, complemented
113	C₄₁×#470	C₂²	1	1	yes	characteristic, complemented
114	C₄₁×#469	C₂²	1	1	yes	characteristic
115	C₄₁×#468	C₂²	1	1	yes	characteristic
116	C₄₁×#468	C₂²	1	1	yes	characteristic
117	C₄₁×#468	C₂²	1	1	yes	characteristic
118	C₄₁×#468	C₂²	1	1	yes	characteristic, complemented
119	C₄₁×#467	C₂²	1	1	yes	characteristic, complemented
120	C₄₁×#466	C₂²	1	1	yes	characteristic, complemented
121	C₄₁×#465	C₂²	1	1	yes	characteristic
122	C₄₁×#465	C₂²	1	1	yes	characteristic, complemented
123	C₄₁×#464	C₂²	1	1	yes	characteristic, complemented
124	C₄₁×#464	C₂²	1	1	yes	characteristic, complemented
125	C₄₁×#464	C₂²	1	1	yes	characteristic, complemented
126	C₄₁×#464	C₂²	1	1	yes	characteristic, complemented
127	C₄₁×#464	C₂²	1	1	yes	characteristic, complemented
128	C₄₁×#464	C₂²	1	1	yes	characteristic, complemented
129	C₄₁×#463	C₂²	1	1	yes	characteristic
130	C₄₁×#463	C₂²	1	1	yes	characteristic
131	C₄₁×#463	C₂²	1	1	yes	characteristic
132	C₄₁×#463	C₂²	1	1	yes	characteristic
133	C₄₁×#463	C₂²	1	1	yes	characteristic
134	C₄₁×#463	C₂²	1	1	yes	characteristic
135	C₄₁×#463	C₂²	1	1	yes	characteristic
136	C₄₁×#463	C₂²	1	1	yes	characteristic, complemented
137	C₄₁×#463	C₂²	1	1	yes	characteristic, complemented
138	C₄₁×#463	C₂²	1	1	yes	characteristic, complemented
139	C₄₁×#462	C₂²	1	1	yes	characteristic, complemented
140	C₄₁×#462	C₂²	1	1	yes	characteristic, complemented
141	C₄₁×#462	C₂²	1	1	yes	characteristic, complemented
142	C₄₁×#462	C₂²	1	1	yes	characteristic, complemented
143	C₄₁×#461	C₂²	1	1	yes	characteristic, complemented
144	C₄₁×#461	C₂²	1	1	yes	characteristic, complemented
145	C₄₁×#461	C₂²	1	1	yes	characteristic, complemented
146	C₄₁×#461	C₂²	1	1	yes	characteristic, complemented
147	C₄₁×#460	C₂²	1	1	yes	characteristic, complemented
148	C₄₁×#460	C₂²	1	1	yes	characteristic, complemented
149	C₄₁×#460	C₂²	1	1	yes	characteristic, complemented
150	C₄₁×#459	C₂²	1	1	yes	characteristic
151	C₄₁×#459	C₂²	1	1	yes	characteristic
152	C₄₁×#459	C₂²	1	1	yes	characteristic
153	C₄₁×#452	C₂²	1	1	yes	characteristic
154	C₄₁×#452	C₂²	1	1	yes	characteristic
155	C₄₁×#452	C₂²	1	1	yes	characteristic
156	C₄₁×#452	C₂²	1	1	yes	characteristic
157	C₄₁×#452	C₂²	1	1	yes	characteristic, complemented
158	C₄₁×#452	C₂²	1	1	yes	characteristic, complemented
159	C₄₁×#452	C₂²	1	1	yes	characteristic, complemented
160	C₄₁×#452	C₂²	1	1	yes	characteristic, complemented
161	C₄₁×#451	C₂²	1	1	yes	characteristic, complemented
162	C₄₁×#450	C₂²	1	1	yes	characteristic, complemented
163	C₄₁×#450	C₂²	1	1	yes	characteristic, complemented
164	C₄₁×#449	C₂²	1	1	yes	characteristic
165	C₄₁×#449	C₂²	1	1	yes	characteristic
166	C₄₁×#449	C₂²	1	1	yes	characteristic
167	C₄₁×#449	C₂²	1	1	yes	characteristic, complemented
168	C₄₁×#448	C₂²	1	1	yes	characteristic, complemented
169	C₄₁×#447	C₂²	1	1	yes	characteristic
170	C₄₁×#447	C₂²	1	1	yes	characteristic
171	C₄₁×#446	C₂²	1	1	yes	characteristic, complemented
172	C₄₁×#446	C₂²	1	1	yes	characteristic, complemented
173	C₄₁×#442	C₂²	1	1	yes	characteristic
174	C₄₁×#442	C₂²	1	1	yes	characteristic
175	C₄₁×#442	C₂²	1	1	yes	characteristic, complemented
176	C₄₁×#441	C₂²	1	1	yes	characteristic, complemented
177	C₄₁×#440	C₂²	1	1	yes	characteristic, complemented
178	C₄₁×#440	C₂²	1	1	yes	characteristic, complemented
179	C₄₁×#440	C₂²	1	1	yes	characteristic, complemented
180	C₄₁×#440	C₂²	1	1	yes	characteristic, complemented
181	C₄×Q₁₆×C₄₁	C₂²	1	1	yes	characteristic, complemented
182	C₄×SD₁₆×C₄₁	C₂²	1	1	yes	characteristic, complemented
183	C₄×SD₁₆×C₄₁	C₂²	1	1	yes	characteristic, complemented
184	C₄×D₈×C₄₁	C₂²	1	1	yes	characteristic
185	C₄₁×#436	C₂²	1	1	yes	characteristic
186	C₄₁×#436	C₂²	1	1	yes	characteristic, complemented
187	C₄₁×#435	C₂²	1	1	yes	characteristic
188	C₄₁×#435	C₂²	1	1	yes	characteristic, complemented
189	C₄₁×#435	C₂²	1	1	yes	characteristic, complemented
190	C₄₁×#435	C₂²	1	1	yes	characteristic, complemented
191	C₄₁×#433	C₂²	1	1	yes	characteristic, complemented
192	C₄₁×#433	C₂²	1	1	yes	characteristic, complemented
193	C₄₁×#432	C₂²	1	1	yes	characteristic, complemented
194	C₄₁×#424	C₂²	1	1	yes	characteristic, complemented
195	C₄₁×#424	C₂²	1	1	yes	characteristic, complemented
196	C₄₁×#423	C₂²	1	1	yes	characteristic, complemented
197	C₄₁×#417	C₂²	1	1	yes	characteristic
198	C₄₁×#417	C₂²	1	1	yes	characteristic, complemented
199	C₄₁×#417	C₂²	1	1	yes	characteristic, complemented
200	C₄₁×#417	C₂²	1	1	yes	characteristic, complemented
201	C₂×#103×C₄₁	C₂²	1	1	yes	characteristic, complemented
202	C₂×#102×C₄₁	C₂²	1	1	yes	characteristic, complemented
203	C₂×#41×C₄₁	—	2	1	no	—
204	C₂×#41×C₄₁	C₂³	1	1	yes	characteristic
205	C₂×#41×C₄₁	C₂³	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	C₂×#41×C₄₁	C₂³	1	1	yes	characteristic
210	C₂²×Q₈×C₄₁	—	2	1	no	—
211	C₂²×Q₈×C₄₁	C₂³	1	1	yes	characteristic
212	C₂²×D₄×C₄₁	C₂³	1	1	yes	characteristic
213	C₂²×D₄×C₄₁	C₂³	1	1	yes	characteristic
214	C₂³×C₄×C₄₁	—	2	1	no	—
215	#137×C₄₁	—	4	2	no	—
216	AGL(1,ℤ/8)×C₄₁	—	4	2	no	—
217	AGL(1,ℤ/8)×C₄₁	—	4	2	no	—
218	AGL(1,ℤ/8)×C₄₁	—	4	2	no	—
219	#135×C₄₁	—	4	2	no	—
220	#135×C₄₁	—	4	2	no	—
221	C₂×Q₁₆×C₄₁	C₂³	1	1	yes	characteristic
222	C₂×Q₁₆×C₄₁	C₂³	1	1	yes	characteristic
223	C₂×Q₁₆×C₄₁	C₂³	1	1	yes	characteristic
224	C₂×Q₁₆×C₄₁	C₂³	1	1	yes	characteristic
225	C₂×Q₁₆×C₄₁	C₂³	1	1	yes	characteristic
226	C₂×Q₁₆×C₄₁	C₂³	1	1	yes	characteristic
227	C₂×SD₁₆×C₄₁	C₂³	1	1	yes	characteristic
228	C₂×SD₁₆×C₄₁	C₂³	1	1	yes	characteristic
229	C₂×SD₁₆×C₄₁	C₂³	1	1	yes	characteristic
230	C₂×SD₁₆×C₄₁	C₂³	1	1	yes	characteristic
231	C₂×SD₁₆×C₄₁	C₂³	1	1	yes	characteristic
232	C₂×SD₁₆×C₄₁	C₂³	1	1	yes	characteristic
233	C₂×SD₁₆×C₄₁	C₂³	1	1	yes	characteristic
234	C₂×SD₁₆×C₄₁	C₂³	1	1	yes	characteristic
235	C₂×SD₁₆×C₄₁	C₂³	1	1	yes	characteristic
236	C₂×SD₁₆×C₄₁	C₂³	1	1	yes	characteristic
237	C₂×SD₁₆×C₄₁	C₂³	1	1	yes	characteristic
238	C₂×SD₁₆×C₄₁	C₂³	1	1	yes	characteristic
239	C₂×D₈×C₄₁	C₂³	1	1	yes	characteristic
240	C₂×D₈×C₄₁	C₂³	1	1	yes	characteristic
241	C₂×D₈×C₄₁	C₂³	1	1	yes	characteristic
242	C₂×D₈×C₄₁	C₂³	1	1	yes	characteristic
243	C₂×D₈×C₄₁	C₂³	1	1	yes	characteristic
244	C₂×D₈×C₄₁	C₂³	1	1	yes	characteristic
245	C₂×M₁₆×C₄₁	C₂³	1	1	yes	characteristic
246	C₂×M₁₆×C₄₁	C₂³	1	1	yes	characteristic
247	C₂×M₁₆×C₄₁	C₂³	1	1	yes	characteristic
248	C₂×M₁₆×C₄₁	C₂³	1	1	yes	characteristic
249	C₂²×C₈×C₄₁	C₂³	1	1	yes	characteristic
250	C₂²×C₈×C₄₁	C₂³	1	1	yes	characteristic
251	C₄⋊Q₈×C₄₁	C₂³	1	1	yes	characteristic
252	C₄⋊Q₈×C₄₁	C₂³	1	1	yes	characteristic
253	C₄⋊Q₈×C₄₁	C₂³	1	1	yes	characteristic
254	C₄⋊Q₈×C₄₁	C₂³	1	1	yes	characteristic
255	C₄⋊Q₈×C₄₁	C₂³	1	1	yes	characteristic
256	C₄⋊Q₈×C₄₁	C₂³	1	1	yes	characteristic
257	#127×C₄₁	—	2	1	no	—
258	#127×C₄₁	C₂³	1	1	yes	characteristic
259	#127×C₄₁	C₂³	1	1	yes	characteristic
260	#126×C₄₁	—	2	1	no	—
261	#126×C₄₁	—	2	1	no	—
262	#126×C₄₁	—	2	1	no	—
263	#126×C₄₁	—	2	1	no	—
264	#126×C₄₁	—	2	1	no	—
265	#126×C₄₁	—	2	1	no	—
266	#126×C₄₁	—	2	1	no	—
267	#126×C₄₁	—	2	1	no	—
268	#126×C₄₁	—	2	1	no	—
269	#126×C₄₁	D₄	1	1	yes	characteristic
270	#126×C₄₁	D₄	1	1	yes	characteristic
271	#125×C₄₁	—	2	1	no	—
272	#125×C₄₁	—	2	1	no	—
273	#125×C₄₁	—	2	1	no	—
274	#125×C₄₁	—	2	1	no	—
275	#125×C₄₁	—	2	1	no	—
276	#125×C₄₁	D₄	1	1	yes	characteristic
277	#125×C₄₁	C₂³	1	1	yes	characteristic
278	#124×C₄₁	—	2	1	no	—
279	#124×C₄₁	—	2	1	no	—
280	#124×C₄₁	—	2	1	no	—
281	#124×C₄₁	—	2	1	no	—
282	#124×C₄₁	—	2	1	no	—
283	#124×C₄₁	D₄	1	1	yes	characteristic
284	#124×C₄₁	C₂³	1	1	yes	characteristic
285	#124×C₄₁	C₂³	1	1	yes	characteristic
286	#124×C₄₁	C₂³	1	1	yes	characteristic
287	#124×C₄₁	C₂³	1	1	yes	characteristic
288	#124×C₄₁	C₂³	1	1	yes	characteristic
289	#124×C₄₁	C₂³	1	1	yes	characteristic
290	#124×C₄₁	C₂³	1	1	yes	characteristic
291	#123×C₄₁	—	2	1	no	—
292	#123×C₄₁	—	2	1	no	—
293	#123×C₄₁	—	2	1	no	—
294	#123×C₄₁	—	2	1	no	—
295	#123×C₄₁	—	2	1	no	—
296	#123×C₄₁	—	2	1	no	—
297	#123×C₄₁	—	2	1	no	—
298	#123×C₄₁	—	2	1	no	—
299	#123×C₄₁	—	2	1	no	—
300	#123×C₄₁	—	2	1	no	—
301	#123×C₄₁	—	2	1	no	—
302	#123×C₄₁	—	2	1	no	—
303	#123×C₄₁	—	2	1	no	—
304	#123×C₄₁	—	2	1	no	—
305	#123×C₄₁	—	2	1	no	—
306	#123×C₄₁	—	2	1	no	—
307	#123×C₄₁	—	2	1	no	—
308	#123×C₄₁	—	2	1	no	—
309	#123×C₄₁	—	2	1	no	—
310	#123×C₄₁	D₄	1	1	yes	characteristic
311	#123×C₄₁	D₄	1	1	yes	characteristic
312	C₂²⋊Q₈×C₄₁	—	2	1	no	—
313	C₂²⋊Q₈×C₄₁	—	2	1	no	—
314	C₂²⋊Q₈×C₄₁	—	2	1	no	—
315	C₂²⋊Q₈×C₄₁	—	2	1	no	—
316	C₂²⋊Q₈×C₄₁	—	2	1	no	—
317	C₂²⋊Q₈×C₄₁	—	2	1	no	—
318	C₂²⋊Q₈×C₄₁	—	2	1	no	—
319	C₂²⋊Q₈×C₄₁	—	2	1	no	—
320	C₂²⋊Q₈×C₄₁	—	2	1	no	—
321	C₂²⋊Q₈×C₄₁	—	2	1	no	—
322	C₂²⋊Q₈×C₄₁	—	2	1	no	—
323	C₂²⋊Q₈×C₄₁	—	2	1	no	—
324	C₂²⋊Q₈×C₄₁	—	2	1	no	—
325	C₂²⋊Q₈×C₄₁	—	2	1	no	—
326	C₂²⋊Q₈×C₄₁	—	2	1	no	—
327	C₂²⋊Q₈×C₄₁	—	2	1	no	—
328	C₂²⋊Q₈×C₄₁	—	2	1	no	—
329	C₂²⋊Q₈×C₄₁	D₄	1	1	yes	characteristic
330	C₂²⋊Q₈×C₄₁	C₂³	1	1	yes	characteristic
331	C₂²⋊Q₈×C₄₁	C₂³	1	1	yes	characteristic
332	C₂²⋊Q₈×C₄₁	C₂³	1	1	yes	characteristic
333	C₂²⋊Q₈×C₄₁	C₂³	1	1	yes	characteristic
334	C₂²⋊Q₈×C₄₁	C₂³	1	1	yes	characteristic
335	C₂²⋊Q₈×C₄₁	C₂³	1	1	yes	characteristic
336	C₂²⋊Q₈×C₄₁	C₂³	1	1	yes	characteristic
337	#121×C₄₁	—	2	1	no	—
338	#121×C₄₁	—	2	1	no	—
339	#121×C₄₁	—	2	1	no	—
340	#121×C₄₁	—	2	1	no	—
341	#121×C₄₁	—	2	1	no	—
342	#121×C₄₁	—	2	1	no	—
343	#121×C₄₁	—	2	1	no	—
344	#121×C₄₁	—	2	1	no	—
345	#121×C₄₁	—	2	1	no	—
346	#121×C₄₁	—	2	1	no	—
347	#121×C₄₁	—	2	1	no	—
348	#121×C₄₁	—	2	1	no	—
349	#121×C₄₁	—	2	1	no	—
350	#121×C₄₁	—	2	1	no	—
351	#121×C₄₁	—	2	1	no	—
352	#121×C₄₁	—	2	1	no	—
353	#121×C₄₁	D₄	1	1	yes	characteristic
354	#121×C₄₁	C₂³	1	1	yes	characteristic
355	#121×C₄₁	C₂³	1	1	yes	characteristic
356	#121×C₄₁	C₂³	1	1	yes	characteristic
357	#121×C₄₁	C₂³	1	1	yes	characteristic
358	#121×C₄₁	C₂³	1	1	yes	characteristic
359	#120×C₄₁	—	2	1	no	—
360	#120×C₄₁	—	2	1	no	—
361	#120×C₄₁	—	2	1	no	—
362	#120×C₄₁	—	2	1	no	—
363	#120×C₄₁	—	2	1	no	—
364	#120×C₄₁	—	2	1	no	—
365	C₄×Q₈×C₄₁	—	2	1	no	—
366	C₄×Q₈×C₄₁	C₂³	1	1	yes	characteristic
367	C₄×Q₈×C₄₁	C₂³	1	1	yes	characteristic
368	C₄×Q₈×C₄₁	C₂³	1	1	yes	characteristic
369	C₄×Q₈×C₄₁	C₂³	1	1	yes	characteristic
370	C₄×Q₈×C₄₁	C₂³	1	1	yes	characteristic
371	C₄×Q₈×C₄₁	C₂³	1	1	yes	characteristic
372	C₄×Q₈×C₄₁	C₂³	1	1	yes	characteristic
373	C₄×Q₈×C₄₁	C₂³	1	1	yes	characteristic
374	C₄×D₄×C₄₁	—	2	1	no	—
375	C₄×D₄×C₄₁	—	2	1	no	—
376	C₄×D₄×C₄₁	—	2	1	no	—
377	C₄×D₄×C₄₁	—	2	1	no	—
378	C₄×D₄×C₄₁	—	2	1	no	—
379	C₄×D₄×C₄₁	—	2	1	no	—
380	C₄×D₄×C₄₁	—	2	1	no	—
381	C₄×D₄×C₄₁	—	2	1	no	—
382	C₄×D₄×C₄₁	—	2	1	no	—
383	C₄×D₄×C₄₁	—	2	1	no	—
384	C₄×D₄×C₄₁	—	2	1	no	—
385	C₄×D₄×C₄₁	—	2	1	no	—
386	C₄×D₄×C₄₁	—	2	1	no	—
387	C₄×D₄×C₄₁	—	2	1	no	—
388	C₄×D₄×C₄₁	—	2	1	no	—
389	C₄×D₄×C₄₁	C₂³	1	1	yes	characteristic
390	C₄×D₄×C₄₁	C₂³	1	1	yes	characteristic
391	C₄×D₄×C₄₁	C₂³	1	1	yes	characteristic
392	C₄×D₄×C₄₁	C₂³	1	1	yes	characteristic
393	C₄×D₄×C₄₁	C₂³	1	1	yes	characteristic
394	C₄×D₄×C₄₁	C₂³	1	1	yes	characteristic
395	C₄×D₄×C₄₁	C₂³	1	1	yes	characteristic
396	C₄×D₄×C₄₁	C₂³	1	1	yes	characteristic
397	C₄×D₄×C₄₁	C₂³	1	1	yes	characteristic
398	C₄×D₄×C₄₁	C₂³	1	1	yes	characteristic
399	C₄×D₄×C₄₁	C₂³	1	1	yes	characteristic
400	C₄×D₄×C₄₁	C₂³	1	1	yes	characteristic
401	#117×C₄₁	—	2	1	no	—
402	#117×C₄₁	—	2	1	no	—
403	#117×C₄₁	—	2	1	no	—
404	#117×C₄₁	—	2	1	no	—
405	#117×C₄₁	—	2	1	no	—
406	#117×C₄₁	—	2	1	no	—
407	#117×C₄₁	C₂³	1	1	yes	characteristic
408	#117×C₄₁	C₂³	1	1	yes	characteristic
409	C₂×C₄⋊C₄×C₄₁	—	2	1	no	—
410	C₂×C₄⋊C₄×C₄₁	—	2	1	no	—
411	C₂×C₄⋊C₄×C₄₁	—	2	1	no	—
412	C₂×C₄⋊C₄×C₄₁	—	2	1	no	—
413	C₂×C₄⋊C₄×C₄₁	C₂³	1	1	yes	characteristic
414	C₂×C₄⋊C₄×C₄₁	C₂³	1	1	yes	characteristic
415	C₂×C₄⋊C₄×C₄₁	C₂³	1	1	yes	characteristic
416	C₂×C₂²⋊C₄×C₄₁	—	2	1	no	—
417	C₂×C₂²⋊C₄×C₄₁	—	2	1	no	—
418	C₂×C₂²⋊C₄×C₄₁	—	2	1	no	—
419	C₂×C₂²⋊C₄×C₄₁	—	2	1	no	—
420	C₂×C₂²⋊C₄×C₄₁	—	2	1	no	—
421	C₂×C₄²×C₄₁	C₂³	1	1	yes	characteristic
422	#107×C₄₁	C₂³	1	1	yes	characteristic
423	#107×C₄₁	C₂³	1	1	yes	characteristic
424	#107×C₄₁	C₂³	1	1	yes	characteristic
425	#107×C₄₁	C₂³	1	1	yes	characteristic
426	#106×C₄₁	C₂³	1	1	yes	characteristic
427	#106×C₄₁	C₂³	1	1	yes	characteristic
428	#106×C₄₁	C₂³	1	1	yes	characteristic
429	#106×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	C₄⋊C₈×C₄₁	C₂³	1	1	yes	characteristic
434	C₄⋊C₈×C₄₁	C₂³	1	1	yes	characteristic
435	C₄⋊C₈×C₄₁	C₂³	1	1	yes	characteristic
436	C₄⋊C₈×C₄₁	C₂³	1	1	yes	characteristic
437	C₄⋊C₈×C₄₁	C₂³	1	1	yes	characteristic
438	C₄⋊C₈×C₄₁	C₂³	1	1	yes	characteristic
439	C₄⋊C₈×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	#103×C₄₁	C₂³	1	1	yes	characteristic
446	#103×C₄₁	C₂³	1	1	yes	characteristic
447	#103×C₄₁	C₂³	1	1	yes	characteristic
448	#103×C₄₁	C₂³	1	1	yes	characteristic
449	#103×C₄₁	C₂³	1	1	yes	characteristic
450	#103×C₄₁	C₂³	1	1	yes	characteristic
451	#103×C₄₁	C₂³	1	1	yes	characteristic
452	#103×C₄₁	C₂³	1	1	yes	characteristic
453	#103×C₄₁	C₂³	1	1	yes	characteristic
454	#103×C₄₁	C₂³	1	1	yes	characteristic
455	#103×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	#102×C₄₁	C₂³	1	1	yes	characteristic
466	#102×C₄₁	C₂³	1	1	yes	characteristic
467	#102×C₄₁	C₂³	1	1	yes	characteristic
468	#102×C₄₁	C₂³	1	1	yes	characteristic
469	#102×C₄₁	C₂³	1	1	yes	characteristic
470	#102×C₄₁	C₂³	1	1	yes	characteristic
471	#102×C₄₁	C₂³	1	1	yes	characteristic
472	C₂²⋊C₈×C₄₁	C₂³	1	1	yes	characteristic
473	C₂²⋊C₈×C₄₁	C₂³	1	1	yes	characteristic
474	C₂²⋊C₈×C₄₁	C₂³	1	1	yes	characteristic
475	C₂²⋊C₈×C₄₁	C₂³	1	1	yes	characteristic
476	C₂²⋊C₈×C₄₁	C₂³	1	1	yes	characteristic
477	C₂²⋊C₈×C₄₁	C₂³	1	1	yes	characteristic
478	#97×C₄₁	C₂³	1	1	yes	characteristic
479	#97×C₄₁	C₂³	1	1	yes	characteristic
480	#97×C₄₁	C₂³	1	1	yes	characteristic
481	#97×C₄₁	C₂³	1	1	yes	characteristic
482	C₄×C₈×C₄₁	C₂³	1	1	yes	characteristic
483	C₄×C₈×C₄₁	C₂³	1	1	yes	characteristic
484	C₂⁴×C₄₁	—	2	1	no	—
485	C₂⁴×C₄₁	—	2	1	no	—
486	#41×C₄₁	—	2	2	no	—
487	#41×C₄₁	—	2	2	no	—
488	#41×C₄₁	—	4	1	no	—
489	#41×C₄₁	—	4	1	no	—
490	#41×C₄₁	—	4	1	no	—
491	#41×C₄₁	—	4	1	no	—
492	#41×C₄₁	—	4	1	no	—
493	#41×C₄₁	—	4	1	no	—
494	#41×C₄₁	—	4	1	no	—
495	#41×C₄₁	—	4	1	no	—
496	#41×C₄₁	—	4	1	no	—
497	#41×C₄₁	—	4	1	no	—
498	#41×C₄₁	—	8	2	no	—
499	C₂×Q₈×C₄₁	—	2	1	no	—
500	C₂×Q₈×C₄₁	—	2	1	no	—
501	C₂×Q₈×C₄₁	—	2	1	no	—
502	C₂×Q₈×C₄₁	—	2	1	no	—
503	C₂×Q₈×C₄₁	—	4	1	no	—
504	C₂×Q₈×C₄₁	—	4	1	no	—
505	C₂×Q₈×C₄₁	—	8	2	no	—
506	C₂×Q₈×C₄₁	C₂×D₄	1	1	yes	characteristic
507	C₂×Q₈×C₄₁	C₂⁴	1	1	yes	characteristic
508	C₂×Q₈×C₄₁	C₂⁴	1	1	yes	characteristic
509	C₂×Q₈×C₄₁	C₂⁴	1	1	yes	characteristic
510	C₂×Q₈×C₄₁	C₂⁴	1	1	yes	characteristic
511	C₂×Q₈×C₄₁	C₂⁴	1	1	yes	characteristic
512	C₂×D₄×C₄₁	—	2	2	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	—	2	1	no	—
521	C₂×D₄×C₄₁	—	2	1	no	—
522	C₂×D₄×C₄₁	—	2	1	no	—
523	C₂×D₄×C₄₁	—	2	1	no	—
524	C₂×D₄×C₄₁	—	2	1	no	—
525	C₂×D₄×C₄₁	—	2	1	no	—
526	C₂×D₄×C₄₁	—	2	1	no	—
527	C₂×D₄×C₄₁	—	2	1	no	—
528	C₂×D₄×C₄₁	—	2	1	no	—
529	C₂×D₄×C₄₁	—	2	1	no	—
530	C₂×D₄×C₄₁	—	4	1	no	—
531	C₂×D₄×C₄₁	—	4	1	no	—
532	C₂×D₄×C₄₁	—	4	1	no	—
533	C₂×D₄×C₄₁	C₂×D₄	1	1	yes	characteristic
534	C₂×D₄×C₄₁	C₂×D₄	1	1	yes	characteristic
535	C₂×D₄×C₄₁	C₂×D₄	1	1	yes	characteristic
536	C₂×D₄×C₄₁	C₂⁴	1	1	yes	characteristic
537	C₂×D₄×C₄₁	C₂⁴	1	1	yes	characteristic
538	C₂×D₄×C₄₁	C₂⁴	1	1	yes	characteristic
539	C₂×D₄×C₄₁	C₂⁴	1	1	yes	characteristic
540	C₂×D₄×C₄₁	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
551	C₂²×C₄×C₄₁	—	2	1	no	—
552	C₂²×C₄×C₄₁	—	2	1	no	—
553	C₂²×C₄×C₄₁	—	2	1	no	—
554	C₂²×C₄×C₄₁	—	2	1	no	—
555	C₂²×C₄×C₄₁	—	2	1	no	—
556	C₂²×C₄×C₄₁	—	2	1	no	—
557	C₂²×C₄×C₄₁	—	2	1	no	—
558	C₂²×C₄×C₄₁	—	2	1	no	—
559	C₂²×C₄×C₄₁	—	2	1	no	—
560	C₂²×C₄×C₄₁	—	8	2	no	—
561	C₂²×C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
562	C₂²×C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
563	C₂²×C₄×C₄₁	C₂⁴	1	1	yes	characteristic
564	C₂²×C₄×C₄₁	C₂⁴	1	1	yes	characteristic
565	C₂²×C₄×C₄₁	C₂⁴	1	1	yes	characteristic
566	Q₁₆×C₄₁	—	4	1	no	—
567	Q₁₆×C₄₁	—	4	1	no	—
568	Q₁₆×C₄₁	—	4	1	no	—
569	Q₁₆×C₄₁	—	4	1	no	—
570	Q₁₆×C₄₁	—	4	1	no	—
571	Q₁₆×C₄₁	—	4	1	no	—
572	SD₁₆×C₄₁	—	2	2	no	—
573	SD₁₆×C₄₁	—	2	2	no	—
574	SD₁₆×C₄₁	—	2	2	no	—
575	SD₁₆×C₄₁	—	4	1	no	—
576	SD₁₆×C₄₁	—	4	1	no	—
577	SD₁₆×C₄₁	—	4	1	no	—
578	SD₁₆×C₄₁	—	4	1	no	—
579	SD₁₆×C₄₁	—	4	1	no	—
580	SD₁₆×C₄₁	—	4	1	no	—
581	SD₁₆×C₄₁	—	4	1	no	—
582	SD₁₆×C₄₁	—	4	1	no	—
583	SD₁₆×C₄₁	—	4	1	no	—
584	D₈×C₄₁	—	2	2	no	—
585	D₈×C₄₁	—	2	2	no	—
586	D₈×C₄₁	—	2	2	no	—
587	D₈×C₄₁	—	4	1	no	—
588	D₈×C₄₁	—	4	1	no	—
589	D₈×C₄₁	—	4	1	no	—
590	M₁₆×C₄₁	—	4	1	no	—
591	M₁₆×C₄₁	—	4	1	no	—
592	M₁₆×C₄₁	—	4	1	no	—
593	M₁₆×C₄₁	—	4	1	no	—
594	C₂×C₈×C₄₁	—	4	1	no	—
595	C₂×C₈×C₄₁	—	4	1	no	—
596	C₂×C₈×C₄₁	C₂⁴	1	1	yes	characteristic
597	C₂×C₈×C₄₁	C₂⁴	1	1	yes	characteristic
598	C₂×C₈×C₄₁	C₂⁴	1	1	yes	characteristic
599	C₂×C₈×C₄₁	C₂⁴	1	1	yes	characteristic
600	C₂×C₈×C₄₁	C₂⁴	1	1	yes	characteristic
601	C₂×C₈×C₄₁	C₂⁴	1	1	yes	characteristic
602	C₂×C₈×C₄₁	C₂⁴	1	1	yes	characteristic
603	C₂×C₈×C₄₁	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
617	C₄⋊C₄×C₄₁	—	2	1	no	—
618	C₄⋊C₄×C₄₁	—	2	1	no	—
619	C₄⋊C₄×C₄₁	—	2	1	no	—
620	C₄⋊C₄×C₄₁	—	2	1	no	—
621	C₄⋊C₄×C₄₁	—	2	1	no	—
622	C₄⋊C₄×C₄₁	—	2	1	no	—
623	C₄⋊C₄×C₄₁	—	2	1	no	—
624	C₄⋊C₄×C₄₁	—	2	1	no	—
625	C₄⋊C₄×C₄₁	—	2	1	no	—
626	C₄⋊C₄×C₄₁	—	2	1	no	—
627	C₄⋊C₄×C₄₁	—	2	1	no	—
628	C₄⋊C₄×C₄₁	—	2	1	no	—
629	C₄⋊C₄×C₄₁	—	2	1	no	—
630	C₄⋊C₄×C₄₁	—	2	1	no	—
631	C₄⋊C₄×C₄₁	—	2	1	no	—
632	C₄⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
633	C₄⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
634	C₄⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
635	C₄⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
636	C₄⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
637	C₄⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
638	C₄⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
639	C₄⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
640	C₄⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
641	C₄⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
642	C₄⋊C₄×C₄₁	C₂⁴	1	1	yes	characteristic
643	C₄⋊C₄×C₄₁	C₂⁴	1	1	yes	characteristic
644	C₄⋊C₄×C₄₁	C₂⁴	1	1	yes	characteristic
645	C₄⋊C₄×C₄₁	C₂⁴	1	1	yes	characteristic
646	C₄⋊C₄×C₄₁	C₂⁴	1	1	yes	characteristic
647	C₄⋊C₄×C₄₁	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
666	C₂²⋊C₄×C₄₁	—	2	1	no	—
667	C₂²⋊C₄×C₄₁	—	2	1	no	—
668	C₂²⋊C₄×C₄₁	—	2	1	no	—
669	C₂²⋊C₄×C₄₁	—	2	1	no	—
670	C₂²⋊C₄×C₄₁	—	2	1	no	—
671	C₂²⋊C₄×C₄₁	—	2	1	no	—
672	C₂²⋊C₄×C₄₁	—	2	1	no	—
673	C₂²⋊C₄×C₄₁	—	2	1	no	—
674	C₂²⋊C₄×C₄₁	—	2	1	no	—
675	C₂²⋊C₄×C₄₁	—	2	1	no	—
676	C₂²⋊C₄×C₄₁	—	2	1	no	—
677	C₂²⋊C₄×C₄₁	—	2	1	no	—
678	C₂²⋊C₄×C₄₁	—	2	1	no	—
679	C₂²⋊C₄×C₄₁	—	2	1	no	—
680	C₂²⋊C₄×C₄₁	—	2	1	no	—
681	C₂²⋊C₄×C₄₁	—	2	1	no	—
682	C₂²⋊C₄×C₄₁	—	2	1	no	—
683	C₂²⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
684	C₂²⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
685	C₂²⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
686	C₂²⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
687	C₂²⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
688	C₂²⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
689	C₂²⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
690	C₂²⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
691	C₂²⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
692	C₂²⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
693	C₄²×C₄₁	—	2	1	no	—
694	C₄²×C₄₁	—	2	1	no	—
695	C₄²×C₄₁	—	2	1	no	—
696	C₄²×C₄₁	—	2	1	no	—
697	C₄²×C₄₁	—	2	1	no	—
698	C₄²×C₄₁	—	2	1	no	—
699	C₄²×C₄₁	—	2	1	no	—
700	C₄²×C₄₁	C₂×D₄	1	1	yes	characteristic
701	C₄²×C₄₁	C₂×D₄	1	1	yes	characteristic
702	C₄²×C₄₁	C₂⁴	1	1	yes	characteristic
703	C₄²×C₄₁	C₂⁴	1	1	yes	characteristic
704	C₄²×C₄₁	C₂⁴	1	1	yes	characteristic
705	C₄²×C₄₁	C₂⁴	1	1	yes	characteristic
706	C₂³×C₄₁	—	2	1	no	—
707	C₂³×C₄₁	—	2	1	no	—
708	C₂³×C₄₁	—	2	1	no	—
709	C₂³×C₄₁	—	2	1	no	—
710	C₂³×C₄₁	—	2	1	no	—
711	C₂³×C₄₁	—	4	2	no	—
712	C₂³×C₄₁	—	4	2	no	—
713	C₂³×C₄₁	—	8	1	no	—
714	C₂³×C₄₁	—	8	1	no	—
715	C₂³×C₄₁	—	8	1	no	—
716	C₂³×C₄₁	—	8	1	no	—
717	C₂³×C₄₁	C₂²×D₄	1	1	yes	characteristic
718	C₂³×C₄₁	C₂²×D₄	1	1	yes	characteristic
719	C₂³×C₄₁	C₂²×D₄	1	1	yes	characteristic
720	Q₈×C₄₁	—	2	1	no	—
721	Q₈×C₄₁	—	2	1	no	—
722	Q₈×C₄₁	—	2	1	no	—
723	Q₈×C₄₁	—	2	1	no	—
724	Q₈×C₄₁	—	2	1	no	—
725	Q₈×C₄₁	—	2	1	no	—
726	Q₈×C₄₁	—	2	1	no	—
727	Q₈×C₄₁	—	2	1	no	—
728	Q₈×C₄₁	—	2	1	no	—
729	Q₈×C₄₁	—	2	1	no	—
730	Q₈×C₄₁	—	4	1	no	—
731	Q₈×C₄₁	—	4	2	no	—
732	Q₈×C₄₁	—	8	1	no	—
733	Q₈×C₄₁	—	8	1	no	—
734	Q₈×C₄₁	—	8	1	no	—
735	D₄×C₄₁	—	2	1	no	—
736	D₄×C₄₁	—	2	1	no	—
737	D₄×C₄₁	—	2	1	no	—
738	D₄×C₄₁	—	2	1	no	—
739	D₄×C₄₁	—	2	1	no	—
740	D₄×C₄₁	—	2	1	no	—
741	D₄×C₄₁	—	2	1	no	—
742	D₄×C₄₁	—	2	1	no	—
743	D₄×C₄₁	—	2	1	no	—
744	D₄×C₄₁	—	4	1	no	—
745	D₄×C₄₁	—	4	1	no	—
746	D₄×C₄₁	—	4	1	no	—
747	D₄×C₄₁	—	4	2	no	—
748	D₄×C₄₁	—	4	2	no	—
749	D₄×C₄₁	—	4	2	no	—
750	D₄×C₄₁	—	8	1	no	—
751	D₄×C₄₁	—	8	1	no	—
752	D₄×C₄₁	—	8	1	no	—
753	D₄×C₄₁	—	8	1	no	—
754	D₄×C₄₁	—	8	1	no	—
755	D₄×C₄₁	—	8	1	no	—
756	D₄×C₄₁	—	8	1	no	—
757	D₄×C₄₁	—	8	1	no	—
758	D₄×C₄₁	—	8	1	no	—
759	D₄×C₄₁	—	8	1	no	—
760	D₄×C₄₁	—	8	1	no	—
761	D₄×C₄₁	—	8	1	no	—
762	D₄×C₄₁	—	8	1	no	—
763	D₄×C₄₁	—	8	1	no	—
764	D₄×C₄₁	H(5,𝔽₂)	1	2	yes	—
765	C₂×C₄×C₄₁	—	2	1	no	—
766	C₂×C₄×C₄₁	—	2	1	no	—
767	C₂×C₄×C₄₁	—	2	1	no	—
768	C₂×C₄×C₄₁	—	2	1	no	—
769	C₂×C₄×C₄₁	—	2	1	no	—
770	C₂×C₄×C₄₁	—	2	1	no	—
771	C₂×C₄×C₄₁	—	2	1	no	—
772	C₂×C₄×C₄₁	—	2	1	no	—
773	C₂×C₄×C₄₁	—	2	1	no	—
774	C₂×C₄×C₄₁	—	2	1	no	—
775	C₂×C₄×C₄₁	—	2	1	no	—
776	C₂×C₄×C₄₁	—	2	1	no	—
777	C₂×C₄×C₄₁	—	2	1	no	—
778	C₂×C₄×C₄₁	—	2	1	no	—
779	C₂×C₄×C₄₁	—	2	1	no	—
780	C₂×C₄×C₄₁	—	2	1	no	—
781	C₂×C₄×C₄₁	—	2	1	no	—
782	C₂×C₄×C₄₁	—	4	1	no	—
783	C₂×C₄×C₄₁	—	4	1	no	—
784	C₂×C₄×C₄₁	—	4	2	no	—
785	C₂×C₄×C₄₁	—	4	2	no	—
786	C₂×C₄×C₄₁	—	4	2	no	—
787	C₂×C₄×C₄₁	—	4	2	no	—
788	C₂×C₄×C₄₁	—	8	1	no	—
789	C₂×C₄×C₄₁	—	8	1	no	—
790	C₂×C₄×C₄₁	—	8	1	no	—
791	C₂×C₄×C₄₁	—	8	1	no	—
792	C₂×C₄×C₄₁	—	8	1	no	—
793	C₂×C₄×C₄₁	—	8	1	no	—
794	C₂×C₄×C₄₁	—	8	1	no	—
795	C₂×C₄×C₄₁	—	8	1	no	—
796	C₂×C₄×C₄₁	—	8	1	no	—
797	C₂×C₄×C₄₁	—	8	1	no	—
798	C₂×C₄×C₄₁	—	8	1	no	—
799	C₂×C₄×C₄₁	—	8	1	no	—
800	C₂×C₄×C₄₁	—	8	1	no	—
801	C₂×C₄×C₄₁	—	8	1	no	—
802	C₂×C₄×C₄₁	—	8	1	no	—
803	C₂×C₄×C₄₁	C₂²×D₄	1	1	yes	characteristic
804	C₂×C₄×C₄₁	C₂²×D₄	1	1	yes	characteristic
805	C₂×C₄×C₄₁	C₂²×D₄	1	1	yes	characteristic
806	C₂×C₄×C₄₁	C₂²×D₄	1	1	yes	characteristic
807	C₂×C₄×C₄₁	C₂²×D₄	1	1	yes	characteristic
808	C₂×C₄×C₄₁	C₂²×D₄	1	1	yes	characteristic
809	C₂×C₄×C₄₁	C₂²×D₄	1	1	yes	characteristic
810	C₂×C₄×C₄₁	C₂²×D₄	1	1	yes	characteristic
811	C₂×C₄×C₄₁	C₂²×D₄	1	1	yes	characteristic
812	C₂×C₄×C₄₁	C₂²×D₄	1	1	yes	characteristic
813	C₂×C₄×C₄₁	C₂²×D₄	1	1	yes	characteristic
814	C₂×C₄×C₄₁	C₂⁵	1	1	yes	characteristic
815	C₈×C₄₁	—	2	1	no	—
816	C₈×C₄₁	—	2	1	no	—
817	C₈×C₄₁	—	2	1	no	—
818	C₈×C₄₁	—	2	1	no	—
819	C₈×C₄₁	—	2	1	no	—
820	C₈×C₄₁	—	2	1	no	—
821	C₈×C₄₁	—	2	1	no	—
822	C₈×C₄₁	—	2	1	no	—
823	#62076	C₄₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
824	C₂²×C₄₁	—	2	1	no	—
825	C₂²×C₄₁	—	2	1	no	—
826	C₂²×C₄₁	—	2	1	no	—
827	C₂²×C₄₁	—	2	1	no	—
828	C₂²×C₄₁	—	2	1	no	—
829	C₂²×C₄₁	—	2	1	no	—
830	C₂²×C₄₁	—	2	1	no	—
831	C₂²×C₄₁	—	2	1	no	—
832	C₂²×C₄₁	—	2	1	no	—
833	C₂²×C₄₁	—	2	2	no	—
834	C₂²×C₄₁	—	4	1	no	—
835	C₂²×C₄₁	—	4	1	no	—
836	C₂²×C₄₁	—	4	1	no	—
837	C₂²×C₄₁	—	4	1	no	—
838	C₂²×C₄₁	—	4	1	no	—
839	C₂²×C₄₁	—	4	1	no	—
840	C₂²×C₄₁	—	4	1	no	—
841	C₂²×C₄₁	—	4	1	no	—
842	C₂²×C₄₁	—	4	1	no	—
843	C₂²×C₄₁	—	4	1	no	—
844	C₂²×C₄₁	—	4	1	no	—
845	C₂²×C₄₁	—	4	1	no	—
846	C₂²×C₄₁	—	4	1	no	—
847	C₂²×C₄₁	—	4	1	no	—
848	C₂²×C₄₁	—	8	4	no	—
849	C₂²×C₄₁	—	16	2	no	—
850	C₂²×C₄₁	C₂³×D₄	1	1	yes	characteristic
851	C₄×C₄₁	—	2	1	no	—
852	C₄×C₄₁	—	2	1	no	—
853	C₄×C₄₁	—	2	1	no	—
854	C₄×C₄₁	—	2	1	no	—
855	C₄×C₄₁	—	2	1	no	—
856	C₄×C₄₁	—	2	1	no	—
857	C₄×C₄₁	—	2	1	no	—
858	C₄×C₄₁	—	2	1	no	—
859	C₄×C₄₁	—	2	1	no	—
860	C₄×C₄₁	—	2	1	no	—
861	C₄×C₄₁	—	2	1	no	—
862	C₄×C₄₁	—	4	1	no	—
863	C₄×C₄₁	—	4	1	no	—
864	C₄×C₄₁	—	4	1	no	—
865	C₄×C₄₁	—	4	1	no	—
866	C₄×C₄₁	—	4	1	no	—
867	C₄×C₄₁	—	4	1	no	—
868	C₄×C₄₁	—	4	1	no	—
869	C₄×C₄₁	—	4	1	no	—
870	C₄×C₄₁	—	4	1	no	—
871	C₄×C₄₁	—	4	1	no	—
872	C₄×C₄₁	—	4	1	no	—
873	C₄×C₄₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
874	C₄×C₄₁	#585	1	1	yes	characteristic
875	#3562	C₂×C₄₁	1	1	yes	characteristic, complemented
876	#3520	C₂×C₄₁	1	1	yes	characteristic, complemented
877	#3402	C₂×C₄₁	1	1	yes	characteristic, complemented
878	#3401	C₂×C₄₁	1	1	yes	characteristic, complemented
879	#3373	C₂×C₄₁	1	1	yes	characteristic, complemented
880	#3367	C₂×C₄₁	1	1	yes	characteristic, complemented
881	#3333	C₂×C₄₁	1	1	yes	characteristic, complemented
882	#3331	C₂×C₄₁	1	1	yes	characteristic, complemented
883	#3316	C₂×C₄₁	1	1	yes	characteristic, complemented
884	#3314	C₂×C₄₁	1	1	yes	characteristic, complemented
885	#3308	C₂×C₄₁	1	1	yes	characteristic, complemented
886	#3306	C₂×C₄₁	1	1	yes	characteristic, complemented
887	#3275	C₂×C₄₁	1	1	yes	characteristic, complemented
888	#3273	C₂×C₄₁	1	1	yes	characteristic, complemented
889	#3269	C₂×C₄₁	1	1	yes	characteristic, complemented
890	#3268	C₂×C₄₁	1	1	yes	characteristic, complemented
891	#3267	C₂×C₄₁	1	1	yes	characteristic, complemented
892	#3267	C₂×C₄₁	1	1	yes	characteristic, complemented
893	#3258	C₂×C₄₁	1	1	yes	characteristic, complemented
894	#3257	C₂×C₄₁	1	1	yes	characteristic, complemented
895	#3252	C₂×C₄₁	1	1	yes	characteristic, complemented
896	#3225	C₂×C₄₁	1	1	yes	characteristic, complemented
897	#3224	C₂×C₄₁	1	1	yes	characteristic, complemented
898	#3216	C₂×C₄₁	1	1	yes	characteristic, complemented
899	#3120	C₂×C₄₁	1	1	yes	characteristic, complemented
900	#3119	C₂×C₄₁	1	1	yes	characteristic, complemented
901	#3114	C₂×C₄₁	1	1	yes	characteristic, complemented
902	#3046	C₂×C₄₁	1	1	yes	characteristic, complemented
903	#3045	C₂×C₄₁	1	1	yes	characteristic, complemented
904	#3036	C₂×C₄₁	1	1	yes	characteristic, complemented
905	#2995	C₂×C₄₁	1	1	yes	characteristic, complemented
906	C₂×C₄₁	—	4	1	no	—
907	C₂×C₄₁	—	4	1	no	—
908	C₂×C₄₁	—	4	1	no	—
909	C₂×C₄₁	—	4	2	no	—
910	C₂×C₄₁	—	8	1	no	—
911	C₂×C₄₁	—	8	1	no	—
912	C₂×C₄₁	—	8	1	no	—
913	C₂×C₄₁	—	8	1	no	—
914	C₂×C₄₁	#3488	1	1	yes	characteristic
915	C₂×C₄₁	#3585	1	1	yes	characteristic
916	C₂×C₄₁	#3586	1	1	yes	characteristic
917	C₂×#137	C₂²×C₄₁	1	1	yes	characteristic, complemented
918	C₂×AGL(1,ℤ/8)	C₂²×C₄₁	1	1	yes	characteristic
919	C₂×AGL(1,ℤ/8)	C₂²×C₄₁	1	1	yes	characteristic
920	C₂×AGL(1,ℤ/8)	C₂²×C₄₁	1	1	yes	characteristic, complemented
921	C₂×#135	C₂²×C₄₁	1	1	yes	characteristic
922	C₂×#135	C₂²×C₄₁	1	1	yes	characteristic
923	#562	—	2	1	no	—
924	#560	—	2	1	no	—
925	#559	C₂²×C₄₁	1	1	yes	characteristic, complemented
926	#556	C₂²×C₄₁	1	1	yes	characteristic, complemented
927	#556	C₂²×C₄₁	1	1	yes	characteristic, complemented
928	#554	C₂²×C₄₁	1	1	yes	characteristic
929	#554	C₂²×C₄₁	1	1	yes	characteristic, complemented
930	#553	—	2	1	no	—
931	#552	—	2	1	no	—
932	#551	—	2	1	no	—
933	#551	—	2	1	no	—
934	#551	—	2	1	no	—
935	#550	C₂²×C₄₁	1	1	yes	characteristic
936	D₄×Q₈	C₂²×C₄₁	1	1	yes	characteristic, complemented
937	#548	—	2	1	no	—
938	#548	C₂²×C₄₁	1	1	yes	characteristic
939	#548	C₂²×C₄₁	1	1	yes	characteristic, complemented
940	#547	C₂²×C₄₁	1	1	yes	characteristic
941	#547	C₂²×C₄₁	1	1	yes	characteristic
942	#547	C₂²×C₄₁	1	1	yes	characteristic
943	#546	C₂²×C₄₁	1	1	yes	characteristic
944	#546	C₂²×C₄₁	1	1	yes	characteristic
945	#546	C₂²×C₄₁	1	1	yes	characteristic, complemented
946	#546	C₂²×C₄₁	1	1	yes	characteristic, complemented
947	#542	C₂²×C₄₁	1	1	yes	characteristic
948	#542	C₂²×C₄₁	1	1	yes	characteristic, complemented
949	#541	C₂²×C₄₁	1	1	yes	characteristic, complemented
950	#540	—	2	1	no	—
951	#540	C₂²×C₄₁	1	1	yes	characteristic, complemented
952	#539	—	2	1	no	—
953	#539	—	2	1	no	—
954	#539	—	2	1	no	—
955	#538	—	2	1	no	—
956	#538	—	2	1	no	—
957	#536	C₂²×C₄₁	1	1	yes	characteristic, complemented
958	#535	C₂²×C₄₁	1	1	yes	characteristic, complemented
959	#533	C₂²×C₄₁	1	1	yes	characteristic, complemented
960	#532	C₂²×C₄₁	1	1	yes	characteristic
961	#529	C₂²×C₄₁	1	1	yes	characteristic
962	#529	C₂²×C₄₁	1	1	yes	characteristic
963	#525	—	2	1	no	—
964	C₂×C₂²⋊Q₈	—	2	1	no	—
965	#520	C₂²×C₄₁	1	1	yes	characteristic
966	#520	C₂²×C₄₁	1	1	yes	characteristic, complemented
967	C₂×C₄×D₄	C₂²×C₄₁	1	1	yes	characteristic, complemented
968	#497	C₂²×C₄₁	1	1	yes	characteristic, complemented
969	#497	C₂²×C₄₁	1	1	yes	characteristic, complemented
970	#497	C₂²×C₄₁	1	1	yes	characteristic, complemented
971	#496	C₂²×C₄₁	1	1	yes	characteristic
972	#495	C₂²×C₄₁	1	1	yes	characteristic
973	#495	C₂²×C₄₁	1	1	yes	characteristic
974	#489	C₂²×C₄₁	1	1	yes	characteristic, complemented
975	#489	C₂²×C₄₁	1	1	yes	characteristic, complemented
976	#489	C₂²×C₄₁	1	1	yes	characteristic, complemented
977	#489	C₂²×C₄₁	1	1	yes	characteristic, complemented
978	#487	C₂²×C₄₁	1	1	yes	characteristic, complemented
979	#486	C₂²×C₄₁	1	1	yes	characteristic, complemented
980	#484	C₂²×C₄₁	1	1	yes	characteristic, complemented
981	#483	C₂²×C₄₁	1	1	yes	characteristic, complemented
982	#483	C₂²×C₄₁	1	1	yes	characteristic, complemented
983	#481	C₂²×C₄₁	1	1	yes	characteristic, complemented
984	#480	C₂²×C₄₁	1	1	yes	characteristic
985	#480	C₂²×C₄₁	1	1	yes	characteristic, complemented
986	#479	C₂²×C₄₁	1	1	yes	characteristic, complemented
987	#479	C₂²×C₄₁	1	1	yes	characteristic, complemented
988	#478	C₂²×C₄₁	1	1	yes	characteristic, complemented
989	#478	C₂²×C₄₁	1	1	yes	characteristic, complemented
990	#477	C₂²×C₄₁	1	1	yes	characteristic, complemented
991	#477	C₂²×C₄₁	1	1	yes	characteristic, complemented
992	#476	C₂²×C₄₁	1	1	yes	characteristic, complemented
993	#476	C₂²×C₄₁	1	1	yes	characteristic, complemented
994	#475	C₂²×C₄₁	1	1	yes	characteristic, complemented
995	#474	C₂²×C₄₁	1	1	yes	characteristic, complemented
996	#470	C₂²×C₄₁	1	1	yes	characteristic, complemented
997	#470	C₂²×C₄₁	1	1	yes	characteristic, complemented
998	#470	C₂²×C₄₁	1	1	yes	characteristic, complemented
999	#469	C₂²×C₄₁	1	1	yes	characteristic
1000	#468	C₂²×C₄₁	1	1	yes	characteristic
1001	#468	C₂²×C₄₁	1	1	yes	characteristic
1002	#468	C₂²×C₄₁	1	1	yes	characteristic
1003	#468	C₂²×C₄₁	1	1	yes	characteristic, complemented
1004	#467	C₂²×C₄₁	1	1	yes	characteristic, complemented
1005	#466	C₂²×C₄₁	1	1	yes	characteristic, complemented
1006	#465	C₂²×C₄₁	1	1	yes	characteristic
1007	#465	C₂²×C₄₁	1	1	yes	characteristic, complemented
1008	#464	C₂²×C₄₁	1	1	yes	characteristic, complemented
1009	#464	C₂²×C₄₁	1	1	yes	characteristic, complemented
1010	#464	C₂²×C₄₁	1	1	yes	characteristic, complemented
1011	#464	C₂²×C₄₁	1	1	yes	characteristic, complemented
1012	#464	C₂²×C₄₁	1	1	yes	characteristic, complemented
1013	#464	C₂²×C₄₁	1	1	yes	characteristic, complemented
1014	#463	C₂²×C₄₁	1	1	yes	characteristic
1015	#463	C₂²×C₄₁	1	1	yes	characteristic
1016	#463	C₂²×C₄₁	1	1	yes	characteristic
1017	#463	C₂²×C₄₁	1	1	yes	characteristic
1018	#463	C₂²×C₄₁	1	1	yes	characteristic
1019	#463	C₂²×C₄₁	1	1	yes	characteristic
1020	#463	C₂²×C₄₁	1	1	yes	characteristic
1021	#463	C₂²×C₄₁	1	1	yes	characteristic, complemented
1022	#463	C₂²×C₄₁	1	1	yes	characteristic, complemented
1023	#463	C₂²×C₄₁	1	1	yes	characteristic, complemented
1024	#462	C₂²×C₄₁	1	1	yes	characteristic, complemented
1025	#462	C₂²×C₄₁	1	1	yes	characteristic, complemented
1026	#462	C₂²×C₄₁	1	1	yes	characteristic, complemented
1027	#462	C₂²×C₄₁	1	1	yes	characteristic, complemented
1028	#461	C₂²×C₄₁	1	1	yes	characteristic, complemented
1029	#461	C₂²×C₄₁	1	1	yes	characteristic, complemented
1030	#461	C₂²×C₄₁	1	1	yes	characteristic, complemented
1031	#461	C₂²×C₄₁	1	1	yes	characteristic, complemented
1032	#460	C₂²×C₄₁	1	1	yes	characteristic, complemented
1033	#460	C₂²×C₄₁	1	1	yes	characteristic, complemented
1034	#460	C₂²×C₄₁	1	1	yes	characteristic, complemented
1035	#459	C₂²×C₄₁	1	1	yes	characteristic
1036	#459	C₂²×C₄₁	1	1	yes	characteristic
1037	#459	C₂²×C₄₁	1	1	yes	characteristic
1038	#452	C₂²×C₄₁	1	1	yes	characteristic
1039	#452	C₂²×C₄₁	1	1	yes	characteristic
1040	#452	C₂²×C₄₁	1	1	yes	characteristic
1041	#452	C₂²×C₄₁	1	1	yes	characteristic
1042	#452	C₂²×C₄₁	1	1	yes	characteristic, complemented
1043	#452	C₂²×C₄₁	1	1	yes	characteristic, complemented
1044	#452	C₂²×C₄₁	1	1	yes	characteristic, complemented
1045	#452	C₂²×C₄₁	1	1	yes	characteristic, complemented
1046	#451	C₂²×C₄₁	1	1	yes	characteristic, complemented
1047	#450	C₂²×C₄₁	1	1	yes	characteristic, complemented
1048	#450	C₂²×C₄₁	1	1	yes	characteristic, complemented
1049	#449	C₂²×C₄₁	1	1	yes	characteristic
1050	#449	C₂²×C₄₁	1	1	yes	characteristic
1051	#449	C₂²×C₄₁	1	1	yes	characteristic
1052	#449	C₂²×C₄₁	1	1	yes	characteristic, complemented
1053	#448	C₂²×C₄₁	1	1	yes	characteristic, complemented
1054	#447	C₂²×C₄₁	1	1	yes	characteristic
1055	#447	C₂²×C₄₁	1	1	yes	characteristic
1056	#446	C₂²×C₄₁	1	1	yes	characteristic, complemented
1057	#446	C₂²×C₄₁	1	1	yes	characteristic, complemented
1058	#442	C₂²×C₄₁	1	1	yes	characteristic
1059	#442	C₂²×C₄₁	1	1	yes	characteristic
1060	#442	C₂²×C₄₁	1	1	yes	characteristic, complemented
1061	#441	C₂²×C₄₁	1	1	yes	characteristic, complemented
1062	#440	C₂²×C₄₁	1	1	yes	characteristic, complemented
1063	#440	C₂²×C₄₁	1	1	yes	characteristic, complemented
1064	#440	C₂²×C₄₁	1	1	yes	characteristic, complemented
1065	#440	C₂²×C₄₁	1	1	yes	characteristic, complemented
1066	C₄×Q₁₆	C₂²×C₄₁	1	1	yes	characteristic, complemented
1067	C₄×SD₁₆	C₂²×C₄₁	1	1	yes	characteristic, complemented
1068	C₄×SD₁₆	C₂²×C₄₁	1	1	yes	characteristic, complemented
1069	C₄×D₈	C₂²×C₄₁	1	1	yes	characteristic
1070	#436	C₂²×C₄₁	1	1	yes	characteristic
1071	#436	C₂²×C₄₁	1	1	yes	characteristic, complemented
1072	#435	C₂²×C₄₁	1	1	yes	characteristic
1073	#435	C₂²×C₄₁	1	1	yes	characteristic, complemented
1074	#435	C₂²×C₄₁	1	1	yes	characteristic, complemented
1075	#435	C₂²×C₄₁	1	1	yes	characteristic, complemented
1076	#433	C₂²×C₄₁	1	1	yes	characteristic, complemented
1077	#433	C₂²×C₄₁	1	1	yes	characteristic, complemented
1078	#432	C₂²×C₄₁	1	1	yes	characteristic, complemented
1079	#424	C₂²×C₄₁	1	1	yes	characteristic, complemented
1080	#424	C₂²×C₄₁	1	1	yes	characteristic, complemented
1081	#423	C₂²×C₄₁	1	1	yes	characteristic, complemented
1082	#417	C₂²×C₄₁	1	1	yes	characteristic
1083	#417	C₂²×C₄₁	1	1	yes	characteristic, complemented
1084	#417	C₂²×C₄₁	1	1	yes	characteristic, complemented
1085	#417	C₂²×C₄₁	1	1	yes	characteristic, complemented
1086	C₂×#103	C₂²×C₄₁	1	1	yes	characteristic, complemented
1087	C₂×#102	C₂²×C₄₁	1	1	yes	characteristic, complemented
1088	C₄₁	#62076	1	1	yes	characteristic, direct product factor, Sylow
1089	C₂×#41	—	2	1	no	—
1090	C₂×#41	C₂³×C₄₁	1	1	yes	characteristic
1091	C₂×#41	C₂³×C₄₁	1	1	yes	characteristic
1092	C₂×#41	C₂³×C₄₁	1	1	yes	characteristic
1093	C₂×#41	C₂³×C₄₁	1	1	yes	characteristic
1094	C₂×#41	C₂³×C₄₁	1	1	yes	characteristic
1095	C₂×#41	C₂³×C₄₁	1	1	yes	characteristic
1096	C₂²×Q₈	—	2	1	no	—
1097	C₂²×Q₈	C₂³×C₄₁	1	1	yes	characteristic
1098	C₂²×D₄	C₂³×C₄₁	1	1	yes	characteristic
1099	C₂²×D₄	C₂³×C₄₁	1	1	yes	characteristic
1100	C₂³×C₄	—	2	1	no	—
1101	#137	—	4	2	no	—
1102	AGL(1,ℤ/8)	—	4	2	no	—
1103	AGL(1,ℤ/8)	—	4	2	no	—
1104	AGL(1,ℤ/8)	—	4	2	no	—
1105	#135	—	4	2	no	—
1106	#135	—	4	2	no	—
1107	C₂×Q₁₆	C₂³×C₄₁	1	1	yes	characteristic
1108	C₂×Q₁₆	C₂³×C₄₁	1	1	yes	characteristic
1109	C₂×Q₁₆	C₂³×C₄₁	1	1	yes	characteristic
1110	C₂×Q₁₆	C₂³×C₄₁	1	1	yes	characteristic
1111	C₂×Q₁₆	C₂³×C₄₁	1	1	yes	characteristic
1112	C₂×Q₁₆	C₂³×C₄₁	1	1	yes	characteristic
1113	C₂×SD₁₆	C₂³×C₄₁	1	1	yes	characteristic
1114	C₂×SD₁₆	C₂³×C₄₁	1	1	yes	characteristic
1115	C₂×SD₁₆	C₂³×C₄₁	1	1	yes	characteristic
1116	C₂×SD₁₆	C₂³×C₄₁	1	1	yes	characteristic
1117	C₂×SD₁₆	C₂³×C₄₁	1	1	yes	characteristic
1118	C₂×SD₁₆	C₂³×C₄₁	1	1	yes	characteristic
1119	C₂×SD₁₆	C₂³×C₄₁	1	1	yes	characteristic
1120	C₂×SD₁₆	C₂³×C₄₁	1	1	yes	characteristic
1121	C₂×SD₁₆	C₂³×C₄₁	1	1	yes	characteristic
1122	C₂×SD₁₆	C₂³×C₄₁	1	1	yes	characteristic
1123	C₂×SD₁₆	C₂³×C₄₁	1	1	yes	characteristic
1124	C₂×SD₁₆	C₂³×C₄₁	1	1	yes	characteristic
1125	C₂×D₈	C₂³×C₄₁	1	1	yes	characteristic
1126	C₂×D₈	C₂³×C₄₁	1	1	yes	characteristic
1127	C₂×D₈	C₂³×C₄₁	1	1	yes	characteristic
1128	C₂×D₈	C₂³×C₄₁	1	1	yes	characteristic
1129	C₂×D₈	C₂³×C₄₁	1	1	yes	characteristic
1130	C₂×D₈	C₂³×C₄₁	1	1	yes	characteristic
1131	C₂×M₁₆	C₂³×C₄₁	1	1	yes	characteristic
1132	C₂×M₁₆	C₂³×C₄₁	1	1	yes	characteristic
1133	C₂×M₁₆	C₂³×C₄₁	1	1	yes	characteristic
1134	C₂×M₁₆	C₂³×C₄₁	1	1	yes	characteristic
1135	C₂²×C₈	C₂³×C₄₁	1	1	yes	characteristic
1136	C₂²×C₈	C₂³×C₄₁	1	1	yes	characteristic
1137	C₄⋊Q₈	C₂³×C₄₁	1	1	yes	characteristic
1138	C₄⋊Q₈	C₂³×C₄₁	1	1	yes	characteristic
1139	C₄⋊Q₈	C₂³×C₄₁	1	1	yes	characteristic
1140	C₄⋊Q₈	C₂³×C₄₁	1	1	yes	characteristic
1141	C₄⋊Q₈	C₂³×C₄₁	1	1	yes	characteristic
1142	C₄⋊Q₈	C₂³×C₄₁	1	1	yes	characteristic
1143	#127	—	2	1	no	—
1144	#127	C₂³×C₄₁	1	1	yes	characteristic
1145	#127	C₂³×C₄₁	1	1	yes	characteristic
1146	#126	—	2	1	no	—
1147	#126	—	2	1	no	—
1148	#126	—	2	1	no	—
1149	#126	—	2	1	no	—
1150	#126	—	2	1	no	—
1151	#126	—	2	1	no	—
1152	#126	—	2	1	no	—
1153	#126	—	2	1	no	—
1154	#126	—	2	1	no	—
1155	#126	D₄×C₄₁	1	1	yes	characteristic
1156	#126	D₄×C₄₁	1	1	yes	characteristic
1157	#125	—	2	1	no	—
1158	#125	—	2	1	no	—
1159	#125	—	2	1	no	—
1160	#125	—	2	1	no	—
1161	#125	—	2	1	no	—
1162	#125	D₄×C₄₁	1	1	yes	characteristic
1163	#125	C₂³×C₄₁	1	1	yes	characteristic
1164	#124	—	2	1	no	—
1165	#124	—	2	1	no	—
1166	#124	—	2	1	no	—
1167	#124	—	2	1	no	—
1168	#124	—	2	1	no	—
1169	#124	D₄×C₄₁	1	1	yes	characteristic
1170	#124	C₂³×C₄₁	1	1	yes	characteristic
1171	#124	C₂³×C₄₁	1	1	yes	characteristic
1172	#124	C₂³×C₄₁	1	1	yes	characteristic
1173	#124	C₂³×C₄₁	1	1	yes	characteristic
1174	#124	C₂³×C₄₁	1	1	yes	characteristic
1175	#124	C₂³×C₄₁	1	1	yes	characteristic
1176	#124	C₂³×C₄₁	1	1	yes	characteristic
1177	#123	—	2	1	no	—
1178	#123	—	2	1	no	—
1179	#123	—	2	1	no	—
1180	#123	—	2	1	no	—
1181	#123	—	2	1	no	—
1182	#123	—	2	1	no	—
1183	#123	—	2	1	no	—
1184	#123	—	2	1	no	—
1185	#123	—	2	1	no	—
1186	#123	—	2	1	no	—
1187	#123	—	2	1	no	—
1188	#123	—	2	1	no	—
1189	#123	—	2	1	no	—
1190	#123	—	2	1	no	—
1191	#123	—	2	1	no	—
1192	#123	—	2	1	no	—
1193	#123	—	2	1	no	—
1194	#123	—	2	1	no	—
1195	#123	—	2	1	no	—
1196	#123	D₄×C₄₁	1	1	yes	characteristic
1197	#123	D₄×C₄₁	1	1	yes	characteristic
1198	C₂²⋊Q₈	—	2	1	no	—
1199	C₂²⋊Q₈	—	2	1	no	—
1200	C₂²⋊Q₈	—	2	1	no	—
1201	C₂²⋊Q₈	—	2	1	no	—
1202	C₂²⋊Q₈	—	2	1	no	—
1203	C₂²⋊Q₈	—	2	1	no	—
1204	C₂²⋊Q₈	—	2	1	no	—
1205	C₂²⋊Q₈	—	2	1	no	—
1206	C₂²⋊Q₈	—	2	1	no	—
1207	C₂²⋊Q₈	—	2	1	no	—
1208	C₂²⋊Q₈	—	2	1	no	—
1209	C₂²⋊Q₈	—	2	1	no	—
1210	C₂²⋊Q₈	—	2	1	no	—
1211	C₂²⋊Q₈	—	2	1	no	—
1212	C₂²⋊Q₈	—	2	1	no	—
1213	C₂²⋊Q₈	—	2	1	no	—
1214	C₂²⋊Q₈	—	2	1	no	—
1215	C₂²⋊Q₈	D₄×C₄₁	1	1	yes	characteristic
1216	C₂²⋊Q₈	C₂³×C₄₁	1	1	yes	characteristic
1217	C₂²⋊Q₈	C₂³×C₄₁	1	1	yes	characteristic
1218	C₂²⋊Q₈	C₂³×C₄₁	1	1	yes	characteristic
1219	C₂²⋊Q₈	C₂³×C₄₁	1	1	yes	characteristic
1220	C₂²⋊Q₈	C₂³×C₄₁	1	1	yes	characteristic
1221	C₂²⋊Q₈	C₂³×C₄₁	1	1	yes	characteristic
1222	C₂²⋊Q₈	C₂³×C₄₁	1	1	yes	characteristic
1223	#121	—	2	1	no	—
1224	#121	—	2	1	no	—
1225	#121	—	2	1	no	—
1226	#121	—	2	1	no	—
1227	#121	—	2	1	no	—
1228	#121	—	2	1	no	—
1229	#121	—	2	1	no	—
1230	#121	—	2	1	no	—
1231	#121	—	2	1	no	—
1232	#121	—	2	1	no	—
1233	#121	—	2	1	no	—
1234	#121	—	2	1	no	—
1235	#121	—	2	1	no	—
1236	#121	—	2	1	no	—
1237	#121	—	2	1	no	—
1238	#121	—	2	1	no	—
1239	#121	D₄×C₄₁	1	1	yes	characteristic
1240	#121	C₂³×C₄₁	1	1	yes	characteristic
1241	#121	C₂³×C₄₁	1	1	yes	characteristic
1242	#121	C₂³×C₄₁	1	1	yes	characteristic
1243	#121	C₂³×C₄₁	1	1	yes	characteristic
1244	#121	C₂³×C₄₁	1	1	yes	characteristic
1245	#120	—	2	1	no	—
1246	#120	—	2	1	no	—
1247	#120	—	2	1	no	—
1248	#120	—	2	1	no	—
1249	#120	—	2	1	no	—
1250	#120	—	2	1	no	—
1251	C₄×Q₈	—	2	1	no	—
1252	C₄×Q₈	C₂³×C₄₁	1	1	yes	characteristic
1253	C₄×Q₈	C₂³×C₄₁	1	1	yes	characteristic
1254	C₄×Q₈	C₂³×C₄₁	1	1	yes	characteristic
1255	C₄×Q₈	C₂³×C₄₁	1	1	yes	characteristic
1256	C₄×Q₈	C₂³×C₄₁	1	1	yes	characteristic
1257	C₄×Q₈	C₂³×C₄₁	1	1	yes	characteristic
1258	C₄×Q₈	C₂³×C₄₁	1	1	yes	characteristic
1259	C₄×Q₈	C₂³×C₄₁	1	1	yes	characteristic
1260	C₄×D₄	—	2	1	no	—
1261	C₄×D₄	—	2	1	no	—
1262	C₄×D₄	—	2	1	no	—
1263	C₄×D₄	—	2	1	no	—
1264	C₄×D₄	—	2	1	no	—
1265	C₄×D₄	—	2	1	no	—
1266	C₄×D₄	—	2	1	no	—
1267	C₄×D₄	—	2	1	no	—
1268	C₄×D₄	—	2	1	no	—
1269	C₄×D₄	—	2	1	no	—
1270	C₄×D₄	—	2	1	no	—
1271	C₄×D₄	—	2	1	no	—
1272	C₄×D₄	—	2	1	no	—
1273	C₄×D₄	—	2	1	no	—
1274	C₄×D₄	—	2	1	no	—
1275	C₄×D₄	C₂³×C₄₁	1	1	yes	characteristic
1276	C₄×D₄	C₂³×C₄₁	1	1	yes	characteristic
1277	C₄×D₄	C₂³×C₄₁	1	1	yes	characteristic
1278	C₄×D₄	C₂³×C₄₁	1	1	yes	characteristic
1279	C₄×D₄	C₂³×C₄₁	1	1	yes	characteristic
1280	C₄×D₄	C₂³×C₄₁	1	1	yes	characteristic
1281	C₄×D₄	C₂³×C₄₁	1	1	yes	characteristic
1282	C₄×D₄	C₂³×C₄₁	1	1	yes	characteristic
1283	C₄×D₄	C₂³×C₄₁	1	1	yes	characteristic
1284	C₄×D₄	C₂³×C₄₁	1	1	yes	characteristic
1285	C₄×D₄	C₂³×C₄₁	1	1	yes	characteristic
1286	C₄×D₄	C₂³×C₄₁	1	1	yes	characteristic
1287	#117	—	2	1	no	—
1288	#117	—	2	1	no	—
1289	#117	—	2	1	no	—
1290	#117	—	2	1	no	—
1291	#117	—	2	1	no	—
1292	#117	—	2	1	no	—
1293	#117	C₂³×C₄₁	1	1	yes	characteristic
1294	#117	C₂³×C₄₁	1	1	yes	characteristic
1295	C₂×C₄⋊C₄	—	2	1	no	—
1296	C₂×C₄⋊C₄	—	2	1	no	—
1297	C₂×C₄⋊C₄	—	2	1	no	—
1298	C₂×C₄⋊C₄	—	2	1	no	—
1299	C₂×C₄⋊C₄	C₂³×C₄₁	1	1	yes	characteristic
1300	C₂×C₄⋊C₄	C₂³×C₄₁	1	1	yes	characteristic
1301	C₂×C₄⋊C₄	C₂³×C₄₁	1	1	yes	characteristic
1302	C₂×C₂²⋊C₄	—	2	1	no	—
1303	C₂×C₂²⋊C₄	—	2	1	no	—
1304	C₂×C₂²⋊C₄	—	2	1	no	—
1305	C₂×C₂²⋊C₄	—	2	1	no	—
1306	C₂×C₂²⋊C₄	—	2	1	no	—
1307	C₂×C₄²	C₂³×C₄₁	1	1	yes	characteristic
1308	#107	C₂³×C₄₁	1	1	yes	characteristic
1309	#107	C₂³×C₄₁	1	1	yes	characteristic
1310	#107	C₂³×C₄₁	1	1	yes	characteristic
1311	#107	C₂³×C₄₁	1	1	yes	characteristic
1312	#106	C₂³×C₄₁	1	1	yes	characteristic
1313	#106	C₂³×C₄₁	1	1	yes	characteristic
1314	#106	C₂³×C₄₁	1	1	yes	characteristic
1315	#106	C₂³×C₄₁	1	1	yes	characteristic
1316	C₄⋊C₈	C₂³×C₄₁	1	1	yes	characteristic
1317	C₄⋊C₈	C₂³×C₄₁	1	1	yes	characteristic
1318	C₄⋊C₈	C₂³×C₄₁	1	1	yes	characteristic
1319	C₄⋊C₈	C₂³×C₄₁	1	1	yes	characteristic
1320	C₄⋊C₈	C₂³×C₄₁	1	1	yes	characteristic
1321	C₄⋊C₈	C₂³×C₄₁	1	1	yes	characteristic
1322	C₄⋊C₈	C₂³×C₄₁	1	1	yes	characteristic
1323	C₄⋊C₈	C₂³×C₄₁	1	1	yes	characteristic
1324	C₄⋊C₈	C₂³×C₄₁	1	1	yes	characteristic
1325	C₄⋊C₈	C₂³×C₄₁	1	1	yes	characteristic
1326	#103	C₂³×C₄₁	1	1	yes	characteristic
1327	#103	C₂³×C₄₁	1	1	yes	characteristic
1328	#103	C₂³×C₄₁	1	1	yes	characteristic
1329	#103	C₂³×C₄₁	1	1	yes	characteristic
1330	#103	C₂³×C₄₁	1	1	yes	characteristic
1331	#103	C₂³×C₄₁	1	1	yes	characteristic
1332	#103	C₂³×C₄₁	1	1	yes	characteristic
1333	#103	C₂³×C₄₁	1	1	yes	characteristic
1334	#103	C₂³×C₄₁	1	1	yes	characteristic
1335	#103	C₂³×C₄₁	1	1	yes	characteristic
1336	#103	C₂³×C₄₁	1	1	yes	characteristic
1337	#103	C₂³×C₄₁	1	1	yes	characteristic
1338	#103	C₂³×C₄₁	1	1	yes	characteristic
1339	#103	C₂³×C₄₁	1	1	yes	characteristic
1340	#103	C₂³×C₄₁	1	1	yes	characteristic
1341	#103	C₂³×C₄₁	1	1	yes	characteristic
1342	#102	C₂³×C₄₁	1	1	yes	characteristic
1343	#102	C₂³×C₄₁	1	1	yes	characteristic
1344	#102	C₂³×C₄₁	1	1	yes	characteristic
1345	#102	C₂³×C₄₁	1	1	yes	characteristic
1346	#102	C₂³×C₄₁	1	1	yes	characteristic
1347	#102	C₂³×C₄₁	1	1	yes	characteristic
1348	#102	C₂³×C₄₁	1	1	yes	characteristic
1349	#102	C₂³×C₄₁	1	1	yes	characteristic
1350	#102	C₂³×C₄₁	1	1	yes	characteristic
1351	#102	C₂³×C₄₁	1	1	yes	characteristic
1352	#102	C₂³×C₄₁	1	1	yes	characteristic
1353	#102	C₂³×C₄₁	1	1	yes	characteristic
1354	#102	C₂³×C₄₁	1	1	yes	characteristic
1355	#102	C₂³×C₄₁	1	1	yes	characteristic
1356	#102	C₂³×C₄₁	1	1	yes	characteristic
1357	#102	C₂³×C₄₁	1	1	yes	characteristic
1358	C₂²⋊C₈	C₂³×C₄₁	1	1	yes	characteristic
1359	C₂²⋊C₈	C₂³×C₄₁	1	1	yes	characteristic
1360	C₂²⋊C₈	C₂³×C₄₁	1	1	yes	characteristic
1361	C₂²⋊C₈	C₂³×C₄₁	1	1	yes	characteristic
1362	C₂²⋊C₈	C₂³×C₄₁	1	1	yes	characteristic
1363	C₂²⋊C₈	C₂³×C₄₁	1	1	yes	characteristic
1364	#97	C₂³×C₄₁	1	1	yes	characteristic
1365	#97	C₂³×C₄₁	1	1	yes	characteristic
1366	#97	C₂³×C₄₁	1	1	yes	characteristic
1367	#97	C₂³×C₄₁	1	1	yes	characteristic
1368	C₄×C₈	C₂³×C₄₁	1	1	yes	characteristic
1369	C₄×C₈	C₂³×C₄₁	1	1	yes	characteristic
1370	C₂⁴	—	2	1	no	—
1371	C₂⁴	—	2	1	no	—
1372	#41	—	2	2	no	—
1373	#41	—	2	2	no	—
1374	#41	—	4	1	no	—
1375	#41	—	4	1	no	—
1376	#41	—	4	1	no	—
1377	#41	—	4	1	no	—
1378	#41	—	4	1	no	—
1379	#41	—	4	1	no	—
1380	#41	—	4	1	no	—
1381	#41	—	4	1	no	—
1382	#41	—	4	1	no	—
1383	#41	—	4	1	no	—
1384	#41	—	8	2	no	—
1385	C₂×Q₈	—	2	1	no	—
1386	C₂×Q₈	—	2	1	no	—
1387	C₂×Q₈	—	2	1	no	—
1388	C₂×Q₈	—	2	1	no	—
1389	C₂×Q₈	—	4	1	no	—
1390	C₂×Q₈	—	4	1	no	—
1391	C₂×Q₈	—	8	2	no	—
1392	C₂×Q₈	C₂×D₄×C₄₁	1	1	yes	characteristic
1393	C₂×Q₈	C₂⁴×C₄₁	1	1	yes	characteristic
1394	C₂×Q₈	C₂⁴×C₄₁	1	1	yes	characteristic
1395	C₂×Q₈	C₂⁴×C₄₁	1	1	yes	characteristic
1396	C₂×Q₈	C₂⁴×C₄₁	1	1	yes	characteristic
1397	C₂×Q₈	C₂⁴×C₄₁	1	1	yes	characteristic
1398	C₂×D₄	—	2	2	no	—
1399	C₂×D₄	—	2	1	no	—
1400	C₂×D₄	—	2	1	no	—
1401	C₂×D₄	—	2	1	no	—
1402	C₂×D₄	—	2	1	no	—
1403	C₂×D₄	—	2	1	no	—
1404	C₂×D₄	—	2	1	no	—
1405	C₂×D₄	—	2	1	no	—
1406	C₂×D₄	—	2	1	no	—
1407	C₂×D₄	—	2	1	no	—
1408	C₂×D₄	—	2	1	no	—
1409	C₂×D₄	—	2	1	no	—
1410	C₂×D₄	—	2	1	no	—
1411	C₂×D₄	—	2	1	no	—
1412	C₂×D₄	—	2	1	no	—
1413	C₂×D₄	—	2	1	no	—
1414	C₂×D₄	—	2	1	no	—
1415	C₂×D₄	—	2	1	no	—
1416	C₂×D₄	—	4	1	no	—
1417	C₂×D₄	—	4	1	no	—
1418	C₂×D₄	—	4	1	no	—
1419	C₂×D₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1420	C₂×D₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1421	C₂×D₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1422	C₂×D₄	C₂⁴×C₄₁	1	1	yes	characteristic
1423	C₂×D₄	C₂⁴×C₄₁	1	1	yes	characteristic
1424	C₂×D₄	C₂⁴×C₄₁	1	1	yes	characteristic
1425	C₂×D₄	C₂⁴×C₄₁	1	1	yes	characteristic
1426	C₂×D₄	C₂⁴×C₄₁	1	1	yes	characteristic
1427	C₂²×C₄	—	2	1	no	—
1428	C₂²×C₄	—	2	1	no	—
1429	C₂²×C₄	—	2	1	no	—
1430	C₂²×C₄	—	2	1	no	—
1431	C₂²×C₄	—	2	1	no	—
1432	C₂²×C₄	—	2	1	no	—
1433	C₂²×C₄	—	2	1	no	—
1434	C₂²×C₄	—	2	1	no	—
1435	C₂²×C₄	—	2	1	no	—
1436	C₂²×C₄	—	2	1	no	—
1437	C₂²×C₄	—	2	1	no	—
1438	C₂²×C₄	—	2	1	no	—
1439	C₂²×C₄	—	2	1	no	—
1440	C₂²×C₄	—	2	1	no	—
1441	C₂²×C₄	—	2	1	no	—
1442	C₂²×C₄	—	2	1	no	—
1443	C₂²×C₄	—	2	1	no	—
1444	C₂²×C₄	—	2	1	no	—
1445	C₂²×C₄	—	2	1	no	—
1446	C₂²×C₄	—	8	2	no	—
1447	C₂²×C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1448	C₂²×C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1449	C₂²×C₄	C₂⁴×C₄₁	1	1	yes	characteristic
1450	C₂²×C₄	C₂⁴×C₄₁	1	1	yes	characteristic
1451	C₂²×C₄	C₂⁴×C₄₁	1	1	yes	characteristic
1452	Q₁₆	—	4	1	no	—
1453	Q₁₆	—	4	1	no	—
1454	Q₁₆	—	4	1	no	—
1455	Q₁₆	—	4	1	no	—
1456	Q₁₆	—	4	1	no	—
1457	Q₁₆	—	4	1	no	—
1458	SD₁₆	—	2	2	no	—
1459	SD₁₆	—	2	2	no	—
1460	SD₁₆	—	2	2	no	—
1461	SD₁₆	—	4	1	no	—
1462	SD₁₆	—	4	1	no	—
1463	SD₁₆	—	4	1	no	—
1464	SD₁₆	—	4	1	no	—
1465	SD₁₆	—	4	1	no	—
1466	SD₁₆	—	4	1	no	—
1467	SD₁₆	—	4	1	no	—
1468	SD₁₆	—	4	1	no	—
1469	SD₁₆	—	4	1	no	—
1470	D₈	—	2	2	no	—
1471	D₈	—	2	2	no	—
1472	D₈	—	2	2	no	—
1473	D₈	—	4	1	no	—
1474	D₈	—	4	1	no	—
1475	D₈	—	4	1	no	—
1476	M₁₆	—	4	1	no	—
1477	M₁₆	—	4	1	no	—
1478	M₁₆	—	4	1	no	—
1479	M₁₆	—	4	1	no	—
1480	C₂×C₈	—	4	1	no	—
1481	C₂×C₈	—	4	1	no	—
1482	C₂×C₈	C₂⁴×C₄₁	1	1	yes	characteristic
1483	C₂×C₈	C₂⁴×C₄₁	1	1	yes	characteristic
1484	C₂×C₈	C₂⁴×C₄₁	1	1	yes	characteristic
1485	C₂×C₈	C₂⁴×C₄₁	1	1	yes	characteristic
1486	C₂×C₈	C₂⁴×C₄₁	1	1	yes	characteristic
1487	C₂×C₈	C₂⁴×C₄₁	1	1	yes	characteristic
1488	C₂×C₈	C₂⁴×C₄₁	1	1	yes	characteristic
1489	C₂×C₈	C₂⁴×C₄₁	1	1	yes	characteristic
1490	C₄⋊C₄	—	2	1	no	—
1491	C₄⋊C₄	—	2	1	no	—
1492	C₄⋊C₄	—	2	1	no	—
1493	C₄⋊C₄	—	2	1	no	—
1494	C₄⋊C₄	—	2	1	no	—
1495	C₄⋊C₄	—	2	1	no	—
1496	C₄⋊C₄	—	2	1	no	—
1497	C₄⋊C₄	—	2	1	no	—
1498	C₄⋊C₄	—	2	1	no	—
1499	C₄⋊C₄	—	2	1	no	—
1500	C₄⋊C₄	—	2	1	no	—
1501	C₄⋊C₄	—	2	1	no	—
1502	C₄⋊C₄	—	2	1	no	—
1503	C₄⋊C₄	—	2	1	no	—
1504	C₄⋊C₄	—	2	1	no	—
1505	C₄⋊C₄	—	2	1	no	—
1506	C₄⋊C₄	—	2	1	no	—
1507	C₄⋊C₄	—	2	1	no	—
1508	C₄⋊C₄	—	2	1	no	—
1509	C₄⋊C₄	—	2	1	no	—
1510	C₄⋊C₄	—	2	1	no	—
1511	C₄⋊C₄	—	2	1	no	—
1512	C₄⋊C₄	—	2	1	no	—
1513	C₄⋊C₄	—	2	1	no	—
1514	C₄⋊C₄	—	2	1	no	—
1515	C₄⋊C₄	—	2	1	no	—
1516	C₄⋊C₄	—	2	1	no	—
1517	C₄⋊C₄	—	2	1	no	—
1518	C₄⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1519	C₄⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1520	C₄⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1521	C₄⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1522	C₄⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1523	C₄⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1524	C₄⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1525	C₄⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1526	C₄⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1527	C₄⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1528	C₄⋊C₄	C₂⁴×C₄₁	1	1	yes	characteristic
1529	C₄⋊C₄	C₂⁴×C₄₁	1	1	yes	characteristic
1530	C₄⋊C₄	C₂⁴×C₄₁	1	1	yes	characteristic
1531	C₄⋊C₄	C₂⁴×C₄₁	1	1	yes	characteristic
1532	C₄⋊C₄	C₂⁴×C₄₁	1	1	yes	characteristic
1533	C₄⋊C₄	C₂⁴×C₄₁	1	1	yes	characteristic
1534	C₂²⋊C₄	—	2	1	no	—
1535	C₂²⋊C₄	—	2	1	no	—
1536	C₂²⋊C₄	—	2	1	no	—
1537	C₂²⋊C₄	—	2	1	no	—
1538	C₂²⋊C₄	—	2	1	no	—
1539	C₂²⋊C₄	—	2	1	no	—
1540	C₂²⋊C₄	—	2	1	no	—
1541	C₂²⋊C₄	—	2	1	no	—
1542	C₂²⋊C₄	—	2	1	no	—
1543	C₂²⋊C₄	—	2	1	no	—
1544	C₂²⋊C₄	—	2	1	no	—
1545	C₂²⋊C₄	—	2	1	no	—
1546	C₂²⋊C₄	—	2	1	no	—
1547	C₂²⋊C₄	—	2	1	no	—
1548	C₂²⋊C₄	—	2	1	no	—
1549	C₂²⋊C₄	—	2	1	no	—
1550	C₂²⋊C₄	—	2	1	no	—
1551	C₂²⋊C₄	—	2	1	no	—
1552	C₂²⋊C₄	—	2	1	no	—
1553	C₂²⋊C₄	—	2	1	no	—
1554	C₂²⋊C₄	—	2	1	no	—
1555	C₂²⋊C₄	—	2	1	no	—
1556	C₂²⋊C₄	—	2	1	no	—
1557	C₂²⋊C₄	—	2	1	no	—
1558	C₂²⋊C₄	—	2	1	no	—
1559	C₂²⋊C₄	—	2	1	no	—
1560	C₂²⋊C₄	—	2	1	no	—
1561	C₂²⋊C₄	—	2	1	no	—
1562	C₂²⋊C₄	—	2	1	no	—
1563	C₂²⋊C₄	—	2	1	no	—
1564	C₂²⋊C₄	—	2	1	no	—
1565	C₂²⋊C₄	—	2	1	no	—
1566	C₂²⋊C₄	—	2	1	no	—
1567	C₂²⋊C₄	—	2	1	no	—
1568	C₂²⋊C₄	—	2	1	no	—
1569	C₂²⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1570	C₂²⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1571	C₂²⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1572	C₂²⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1573	C₂²⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1574	C₂²⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1575	C₂²⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1576	C₂²⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1577	C₂²⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1578	C₂²⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1579	C₄²	—	2	1	no	—
1580	C₄²	—	2	1	no	—
1581	C₄²	—	2	1	no	—
1582	C₄²	—	2	1	no	—
1583	C₄²	—	2	1	no	—
1584	C₄²	—	2	1	no	—
1585	C₄²	—	2	1	no	—
1586	C₄²	C₂×D₄×C₄₁	1	1	yes	characteristic
1587	C₄²	C₂×D₄×C₄₁	1	1	yes	characteristic
1588	C₄²	C₂⁴×C₄₁	1	1	yes	characteristic
1589	C₄²	C₂⁴×C₄₁	1	1	yes	characteristic
1590	C₄²	C₂⁴×C₄₁	1	1	yes	characteristic
1591	C₄²	C₂⁴×C₄₁	1	1	yes	characteristic
1592	C₂³	—	2	1	no	—
1593	C₂³	—	2	1	no	—
1594	C₂³	—	2	1	no	—
1595	C₂³	—	2	1	no	—
1596	C₂³	—	2	1	no	—
1597	C₂³	—	4	2	no	—
1598	C₂³	—	4	2	no	—
1599	C₂³	—	8	1	no	—
1600	C₂³	—	8	1	no	—
1601	C₂³	—	8	1	no	—
1602	C₂³	—	8	1	no	—
1603	C₂³	C₂²×D₄×C₄₁	1	1	yes	characteristic
1604	C₂³	C₂²×D₄×C₄₁	1	1	yes	characteristic
1605	C₂³	C₂²×D₄×C₄₁	1	1	yes	characteristic
1606	Q₈	—	2	1	no	—
1607	Q₈	—	2	1	no	—
1608	Q₈	—	2	1	no	—
1609	Q₈	—	2	1	no	—
1610	Q₈	—	2	1	no	—
1611	Q₈	—	2	1	no	—
1612	Q₈	—	2	1	no	—
1613	Q₈	—	2	1	no	—
1614	Q₈	—	2	1	no	—
1615	Q₈	—	2	1	no	—
1616	Q₈	—	4	1	no	—
1617	Q₈	—	4	2	no	—
1618	Q₈	—	8	1	no	—
1619	Q₈	—	8	1	no	—
1620	Q₈	—	8	1	no	—
1621	D₄	—	2	1	no	—
1622	D₄	—	2	1	no	—
1623	D₄	—	2	1	no	—
1624	D₄	—	2	1	no	—
1625	D₄	—	2	1	no	—
1626	D₄	—	2	1	no	—
1627	D₄	—	2	1	no	—
1628	D₄	—	2	1	no	—
1629	D₄	—	2	1	no	—
1630	D₄	—	4	1	no	—
1631	D₄	—	4	1	no	—
1632	D₄	—	4	1	no	—
1633	D₄	—	4	2	no	—
1634	D₄	—	4	2	no	—
1635	D₄	—	4	2	no	—
1636	D₄	—	8	1	no	—
1637	D₄	—	8	1	no	—
1638	D₄	—	8	1	no	—
1639	D₄	—	8	1	no	—
1640	D₄	—	8	1	no	—
1641	D₄	—	8	1	no	—
1642	D₄	—	8	1	no	—
1643	D₄	—	8	1	no	—
1644	D₄	—	8	1	no	—
1645	D₄	—	8	1	no	—
1646	D₄	—	8	1	no	—
1647	D₄	—	8	1	no	—
1648	D₄	—	8	1	no	—
1649	D₄	—	8	1	no	—
1650	D₄	H(5,𝔽₂)×C₄₁	1	2	yes	—
1651	C₂×C₄	—	2	1	no	—
1652	C₂×C₄	—	2	1	no	—
1653	C₂×C₄	—	2	1	no	—
1654	C₂×C₄	—	2	1	no	—
1655	C₂×C₄	—	2	1	no	—
1656	C₂×C₄	—	2	1	no	—
1657	C₂×C₄	—	2	1	no	—
1658	C₂×C₄	—	2	1	no	—
1659	C₂×C₄	—	2	1	no	—
1660	C₂×C₄	—	2	1	no	—
1661	C₂×C₄	—	2	1	no	—
1662	C₂×C₄	—	2	1	no	—
1663	C₂×C₄	—	2	1	no	—
1664	C₂×C₄	—	2	1	no	—
1665	C₂×C₄	—	2	1	no	—
1666	C₂×C₄	—	2	1	no	—
1667	C₂×C₄	—	2	1	no	—
1668	C₂×C₄	—	4	1	no	—
1669	C₂×C₄	—	4	1	no	—
1670	C₂×C₄	—	4	2	no	—
1671	C₂×C₄	—	4	2	no	—
1672	C₂×C₄	—	4	2	no	—
1673	C₂×C₄	—	4	2	no	—
1674	C₂×C₄	—	8	1	no	—
1675	C₂×C₄	—	8	1	no	—
1676	C₂×C₄	—	8	1	no	—
1677	C₂×C₄	—	8	1	no	—
1678	C₂×C₄	—	8	1	no	—
1679	C₂×C₄	—	8	1	no	—
1680	C₂×C₄	—	8	1	no	—
1681	C₂×C₄	—	8	1	no	—
1682	C₂×C₄	—	8	1	no	—
1683	C₂×C₄	—	8	1	no	—
1684	C₂×C₄	—	8	1	no	—
1685	C₂×C₄	—	8	1	no	—
1686	C₂×C₄	—	8	1	no	—
1687	C₂×C₄	—	8	1	no	—
1688	C₂×C₄	—	8	1	no	—
1689	C₂×C₄	C₂²×D₄×C₄₁	1	1	yes	characteristic
1690	C₂×C₄	C₂²×D₄×C₄₁	1	1	yes	characteristic
1691	C₂×C₄	C₂²×D₄×C₄₁	1	1	yes	characteristic
1692	C₂×C₄	C₂²×D₄×C₄₁	1	1	yes	characteristic
1693	C₂×C₄	C₂²×D₄×C₄₁	1	1	yes	characteristic
1694	C₂×C₄	C₂²×D₄×C₄₁	1	1	yes	characteristic
1695	C₂×C₄	C₂²×D₄×C₄₁	1	1	yes	characteristic
1696	C₂×C₄	C₂²×D₄×C₄₁	1	1	yes	characteristic
1697	C₂×C₄	C₂²×D₄×C₄₁	1	1	yes	characteristic
1698	C₂×C₄	C₂²×D₄×C₄₁	1	1	yes	characteristic
1699	C₂×C₄	C₂²×D₄×C₄₁	1	1	yes	characteristic
1700	C₂×C₄	C₂⁵×C₄₁	1	1	yes	characteristic
1701	C₈	—	2	1	no	—
1702	C₈	—	2	1	no	—
1703	C₈	—	2	1	no	—
1704	C₈	—	2	1	no	—
1705	C₈	—	2	1	no	—
1706	C₈	—	2	1	no	—
1707	C₈	—	2	1	no	—
1708	C₈	—	2	1	no	—
1709	C₂²	—	2	1	no	—
1710	C₂²	—	2	1	no	—
1711	C₂²	—	2	1	no	—
1712	C₂²	—	2	1	no	—
1713	C₂²	—	2	1	no	—
1714	C₂²	—	2	1	no	—
1715	C₂²	—	2	1	no	—
1716	C₂²	—	2	1	no	—
1717	C₂²	—	2	1	no	—
1718	C₂²	—	2	2	no	—
1719	C₂²	—	4	1	no	—
1720	C₂²	—	4	1	no	—
1721	C₂²	—	4	1	no	—
1722	C₂²	—	4	1	no	—
1723	C₂²	—	4	1	no	—
1724	C₂²	—	4	1	no	—
1725	C₂²	—	4	1	no	—
1726	C₂²	—	4	1	no	—
1727	C₂²	—	4	1	no	—
1728	C₂²	—	4	1	no	—
1729	C₂²	—	4	1	no	—
1730	C₂²	—	4	1	no	—
1731	C₂²	—	4	1	no	—
1732	C₂²	—	4	1	no	—
1733	C₂²	—	8	4	no	—
1734	C₂²	—	16	2	no	—
1735	C₂²	C₂³×D₄×C₄₁	1	1	yes	characteristic
1736	C₄	—	2	1	no	—
1737	C₄	—	2	1	no	—
1738	C₄	—	2	1	no	—
1739	C₄	—	2	1	no	—
1740	C₄	—	2	1	no	—
1741	C₄	—	2	1	no	—
1742	C₄	—	2	1	no	—
1743	C₄	—	2	1	no	—
1744	C₄	—	2	1	no	—
1745	C₄	—	2	1	no	—
1746	C₄	—	2	1	no	—
1747	C₄	—	4	1	no	—
1748	C₄	—	4	1	no	—
1749	C₄	—	4	1	no	—
1750	C₄	—	4	1	no	—
1751	C₄	—	4	1	no	—
1752	C₄	—	4	1	no	—
1753	C₄	—	4	1	no	—
1754	C₄	—	4	1	no	—
1755	C₄	—	4	1	no	—
1756	C₄	—	4	1	no	—
1757	C₄	—	4	1	no	—
1758	C₄	C₂×H(5,𝔽₂)×C₄₁	1	1	yes	characteristic
1759	C₄	C₄₁×#585	1	1	yes	characteristic
1760	C₂	—	4	1	no	—
1761	C₂	—	4	1	no	—
1762	C₂	—	4	1	no	—
1763	C₂	—	4	2	no	—
1764	C₂	—	8	1	no	—
1765	C₂	—	8	1	no	—
1766	C₂	—	8	1	no	—
1767	C₂	—	8	1	no	—
1768	C₂	C₄₁×#3488	1	1	yes	characteristic
1769	C₂	C₄₁×#3585	1	1	yes	characteristic
1770	C₂	C₄₁×#3586	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 ◁ C₄₁×#529 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₄₁×#3562	C₂	semidirect
2. C₄₁×#3520	C₂	semidirect
3. C₄₁×#3402	C₂	semidirect
4. C₄₁×#3401	C₂	semidirect
5. C₄₁×#3373	C₂	semidirect
6. C₄₁×#3367	C₂	semidirect
7. C₄₁×#3333	C₂	semidirect
8. C₄₁×#3331	C₂	semidirect
9. C₄₁×#3316	C₂	semidirect
10. C₄₁×#3314	C₂	semidirect
11. C₄₁×#3308	C₂	semidirect
12. C₄₁×#3306	C₂	semidirect
13. C₄₁×#3275	C₂	semidirect
14. C₄₁×#3273	C₂	semidirect
15. C₄₁×#3269	C₂	semidirect
16. C₄₁×#3268	C₂	semidirect
17. C₄₁×#3267	C₂	semidirect
18. C₄₁×#3267	C₂	semidirect
19. C₄₁×#3258	C₂	semidirect
20. C₄₁×#3257	C₂	semidirect
21. C₄₁×#3252	C₂	semidirect
22. C₄₁×#3225	C₂	semidirect
23. C₄₁×#3224	C₂	semidirect
24. C₄₁×#3216	C₂	semidirect
25. C₄₁×#3120	C₂	semidirect
26. C₄₁×#3119	C₂	semidirect
27. C₄₁×#3114	C₂	semidirect
28. C₄₁×#3046	C₂	semidirect
29. C₄₁×#3045	C₂	semidirect
30. C₄₁×#3036	C₂	semidirect
31. C₄₁×#2995	C₂	semidirect
32. C₂×#137×C₄₁	C₂²	semidirect
35. C₂×AGL(1,ℤ/8)×C₄₁	C₂²	semidirect
40. C₄₁×#559	C₂²	semidirect
41. C₄₁×#556	C₂²	semidirect
42. C₄₁×#556	C₂²	semidirect
44. C₄₁×#554	C₂²	semidirect
51. D₄×Q₈×C₄₁	C₂²	semidirect
54. C₄₁×#548	C₂²	semidirect
60. C₄₁×#546	C₂²	semidirect
61. C₄₁×#546	C₂²	semidirect
63. C₄₁×#542	C₂²	semidirect
64. C₄₁×#541	C₂²	semidirect
66. C₄₁×#540	C₂²	semidirect
72. C₄₁×#536	C₂²	semidirect
73. C₄₁×#535	C₂²	semidirect
74. C₄₁×#533	C₂²	semidirect
81. C₄₁×#520	C₂²	semidirect
82. C₂×C₄×D₄×C₄₁	C₂²	semidirect
83. C₄₁×#497	C₂²	semidirect
84. C₄₁×#497	C₂²	semidirect
85. C₄₁×#497	C₂²	semidirect
89. C₄₁×#489	C₂²	semidirect
90. C₄₁×#489	C₂²	semidirect
91. C₄₁×#489	C₂²	semidirect
92. C₄₁×#489	C₂²	semidirect
93. C₄₁×#487	C₂²	semidirect
94. C₄₁×#486	C₂²	semidirect
95. C₄₁×#484	C₂²	semidirect
96. C₄₁×#483	C₂²	semidirect
97. C₄₁×#483	C₂²	semidirect
98. C₄₁×#481	C₂²	semidirect
100. C₄₁×#480	C₂²	semidirect
101. C₄₁×#479	C₂²	semidirect
102. C₄₁×#479	C₂²	semidirect
103. C₄₁×#478	C₂²	semidirect
104. C₄₁×#478	C₂²	semidirect
105. C₄₁×#477	C₂²	semidirect
106. C₄₁×#477	C₂²	semidirect
107. C₄₁×#476	C₂²	semidirect
108. C₄₁×#476	C₂²	semidirect
109. C₄₁×#475	C₂²	semidirect
110. C₄₁×#474	C₂²	semidirect
111. C₄₁×#470	C₂²	semidirect
112. C₄₁×#470	C₂²	semidirect
113. C₄₁×#470	C₂²	semidirect
118. C₄₁×#468	C₂²	semidirect
119. C₄₁×#467	C₂²	semidirect
120. C₄₁×#466	C₂²	semidirect
122. C₄₁×#465	C₂²	semidirect
123. C₄₁×#464	C₂²	semidirect
124. C₄₁×#464	C₂²	semidirect
125. C₄₁×#464	C₂²	semidirect
126. C₄₁×#464	C₂²	semidirect
127. C₄₁×#464	C₂²	semidirect
128. C₄₁×#464	C₂²	semidirect
136. C₄₁×#463	C₂²	semidirect
137. C₄₁×#463	C₂²	semidirect
138. C₄₁×#463	C₂²	semidirect
139. C₄₁×#462	C₂²	semidirect
140. C₄₁×#462	C₂²	semidirect
141. C₄₁×#462	C₂²	semidirect
142. C₄₁×#462	C₂²	semidirect
143. C₄₁×#461	C₂²	semidirect
144. C₄₁×#461	C₂²	semidirect
145. C₄₁×#461	C₂²	semidirect
146. C₄₁×#461	C₂²	semidirect
147. C₄₁×#460	C₂²	semidirect
148. C₄₁×#460	C₂²	semidirect
149. C₄₁×#460	C₂²	semidirect
157. C₄₁×#452	C₂²	semidirect
158. C₄₁×#452	C₂²	semidirect
159. C₄₁×#452	C₂²	semidirect
160. C₄₁×#452	C₂²	semidirect
161. C₄₁×#451	C₂²	semidirect
162. C₄₁×#450	C₂²	semidirect
163. C₄₁×#450	C₂²	semidirect
167. C₄₁×#449	C₂²	semidirect
168. C₄₁×#448	C₂²	semidirect
171. C₄₁×#446	C₂²	semidirect
172. C₄₁×#446	C₂²	semidirect
175. C₄₁×#442	C₂²	semidirect
176. C₄₁×#441	C₂²	semidirect
177. C₄₁×#440	C₂²	semidirect
178. C₄₁×#440	C₂²	semidirect
179. C₄₁×#440	C₂²	semidirect
180. C₄₁×#440	C₂²	semidirect
181. C₄×Q₁₆×C₄₁	C₂²	semidirect
182. C₄×SD₁₆×C₄₁	C₂²	semidirect
183. C₄×SD₁₆×C₄₁	C₂²	semidirect
186. C₄₁×#436	C₂²	semidirect
188. C₄₁×#435	C₂²	semidirect
189. C₄₁×#435	C₂²	semidirect
190. C₄₁×#435	C₂²	semidirect
191. C₄₁×#433	C₂²	semidirect
192. C₄₁×#433	C₂²	semidirect
193. C₄₁×#432	C₂²	semidirect
194. C₄₁×#424	C₂²	semidirect
195. C₄₁×#424	C₂²	semidirect
196. C₄₁×#423	C₂²	semidirect
198. C₄₁×#417	C₂²	semidirect
199. C₄₁×#417	C₂²	semidirect
200. C₄₁×#417	C₂²	semidirect
201. C₂×#103×C₄₁	C₂²	semidirect
202. C₂×#102×C₄₁	C₂²	semidirect
823. #62076	C₄₁	direct (N × H)
875. #3562	C₂×C₄₁	semidirect
876. #3520	C₂×C₄₁	semidirect
877. #3402	C₂×C₄₁	semidirect
878. #3401	C₂×C₄₁	semidirect
879. #3373	C₂×C₄₁	semidirect
880. #3367	C₂×C₄₁	semidirect
881. #3333	C₂×C₄₁	semidirect
882. #3331	C₂×C₄₁	semidirect
883. #3316	C₂×C₄₁	semidirect
884. #3314	C₂×C₄₁	semidirect
885. #3308	C₂×C₄₁	semidirect
886. #3306	C₂×C₄₁	semidirect
887. #3275	C₂×C₄₁	semidirect
888. #3273	C₂×C₄₁	semidirect
889. #3269	C₂×C₄₁	semidirect
890. #3268	C₂×C₄₁	semidirect
891. #3267	C₂×C₄₁	semidirect
892. #3267	C₂×C₄₁	semidirect
893. #3258	C₂×C₄₁	semidirect
894. #3257	C₂×C₄₁	semidirect
895. #3252	C₂×C₄₁	semidirect
896. #3225	C₂×C₄₁	semidirect
897. #3224	C₂×C₄₁	semidirect
898. #3216	C₂×C₄₁	semidirect
899. #3120	C₂×C₄₁	semidirect
900. #3119	C₂×C₄₁	semidirect
901. #3114	C₂×C₄₁	semidirect
902. #3046	C₂×C₄₁	semidirect
903. #3045	C₂×C₄₁	semidirect
904. #3036	C₂×C₄₁	semidirect
905. #2995	C₂×C₄₁	semidirect
917. C₂×#137	C₂²×C₄₁	semidirect
920. C₂×AGL(1,ℤ/8)	C₂²×C₄₁	semidirect
925. #559	C₂²×C₄₁	semidirect
926. #556	C₂²×C₄₁	semidirect
927. #556	C₂²×C₄₁	semidirect
929. #554	C₂²×C₄₁	semidirect
936. D₄×Q₈	C₂²×C₄₁	semidirect
939. #548	C₂²×C₄₁	semidirect
945. #546	C₂²×C₄₁	semidirect
946. #546	C₂²×C₄₁	semidirect
948. #542	C₂²×C₄₁	semidirect
949. #541	C₂²×C₄₁	semidirect
951. #540	C₂²×C₄₁	semidirect
957. #536	C₂²×C₄₁	semidirect
958. #535	C₂²×C₄₁	semidirect
959. #533	C₂²×C₄₁	semidirect
966. #520	C₂²×C₄₁	semidirect
967. C₂×C₄×D₄	C₂²×C₄₁	semidirect
968. #497	C₂²×C₄₁	semidirect
969. #497	C₂²×C₄₁	semidirect
970. #497	C₂²×C₄₁	semidirect
974. #489	C₂²×C₄₁	semidirect
975. #489	C₂²×C₄₁	semidirect
976. #489	C₂²×C₄₁	semidirect
977. #489	C₂²×C₄₁	semidirect
978. #487	C₂²×C₄₁	semidirect
979. #486	C₂²×C₄₁	semidirect
980. #484	C₂²×C₄₁	semidirect
981. #483	C₂²×C₄₁	semidirect
982. #483	C₂²×C₄₁	semidirect
983. #481	C₂²×C₄₁	semidirect
985. #480	C₂²×C₄₁	semidirect
986. #479	C₂²×C₄₁	semidirect
987. #479	C₂²×C₄₁	semidirect
988. #478	C₂²×C₄₁	semidirect
989. #478	C₂²×C₄₁	semidirect
990. #477	C₂²×C₄₁	semidirect
991. #477	C₂²×C₄₁	semidirect
992. #476	C₂²×C₄₁	semidirect
993. #476	C₂²×C₄₁	semidirect
994. #475	C₂²×C₄₁	semidirect
995. #474	C₂²×C₄₁	semidirect
996. #470	C₂²×C₄₁	semidirect
997. #470	C₂²×C₄₁	semidirect
998. #470	C₂²×C₄₁	semidirect
1003. #468	C₂²×C₄₁	semidirect
1004. #467	C₂²×C₄₁	semidirect
1005. #466	C₂²×C₄₁	semidirect
1007. #465	C₂²×C₄₁	semidirect
1008. #464	C₂²×C₄₁	semidirect
1009. #464	C₂²×C₄₁	semidirect
1010. #464	C₂²×C₄₁	semidirect
1011. #464	C₂²×C₄₁	semidirect
1012. #464	C₂²×C₄₁	semidirect
1013. #464	C₂²×C₄₁	semidirect
1021. #463	C₂²×C₄₁	semidirect
1022. #463	C₂²×C₄₁	semidirect
1023. #463	C₂²×C₄₁	semidirect
1024. #462	C₂²×C₄₁	semidirect
1025. #462	C₂²×C₄₁	semidirect
1026. #462	C₂²×C₄₁	semidirect
1027. #462	C₂²×C₄₁	semidirect
1028. #461	C₂²×C₄₁	semidirect
1029. #461	C₂²×C₄₁	semidirect
1030. #461	C₂²×C₄₁	semidirect
1031. #461	C₂²×C₄₁	semidirect
1032. #460	C₂²×C₄₁	semidirect
1033. #460	C₂²×C₄₁	semidirect
1034. #460	C₂²×C₄₁	semidirect
1042. #452	C₂²×C₄₁	semidirect
1043. #452	C₂²×C₄₁	semidirect
1044. #452	C₂²×C₄₁	semidirect
1045. #452	C₂²×C₄₁	semidirect
1046. #451	C₂²×C₄₁	semidirect
1047. #450	C₂²×C₄₁	semidirect
1048. #450	C₂²×C₄₁	semidirect
1052. #449	C₂²×C₄₁	semidirect
1053. #448	C₂²×C₄₁	semidirect
1056. #446	C₂²×C₄₁	semidirect
1057. #446	C₂²×C₄₁	semidirect
1060. #442	C₂²×C₄₁	semidirect
1061. #441	C₂²×C₄₁	semidirect
1062. #440	C₂²×C₄₁	semidirect
1063. #440	C₂²×C₄₁	semidirect
1064. #440	C₂²×C₄₁	semidirect
1065. #440	C₂²×C₄₁	semidirect
1066. C₄×Q₁₆	C₂²×C₄₁	semidirect
1067. C₄×SD₁₆	C₂²×C₄₁	semidirect
1068. C₄×SD₁₆	C₂²×C₄₁	semidirect
1071. #436	C₂²×C₄₁	semidirect
1073. #435	C₂²×C₄₁	semidirect
1074. #435	C₂²×C₄₁	semidirect
1075. #435	C₂²×C₄₁	semidirect
1076. #433	C₂²×C₄₁	semidirect
1077. #433	C₂²×C₄₁	semidirect
1078. #432	C₂²×C₄₁	semidirect
1079. #424	C₂²×C₄₁	semidirect
1080. #424	C₂²×C₄₁	semidirect
1081. #423	C₂²×C₄₁	semidirect
1083. #417	C₂²×C₄₁	semidirect
1084. #417	C₂²×C₄₁	semidirect
1085. #417	C₂²×C₄₁	semidirect
1086. C₂×#103	C₂²×C₄₁	semidirect
1087. C₂×#102	C₂²×C₄₁	semidirect
1088. C₄₁	#62076	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×#3562	2
C₄₁×#3520	2
C₄₁×#3402	2
C₄₁×#3401	2
C₄₁×#3373	2
C₄₁×#3367	2
C₄₁×#3333	2
C₄₁×#3331	2
C₄₁×#3316	2
C₄₁×#3314	2
C₄₁×#3308	2
C₄₁×#3306	2
C₄₁×#3275	2
C₄₁×#3273	2
C₄₁×#3269	2
C₄₁×#3268	2
C₄₁×#3267	2
C₄₁×#3258	2
C₄₁×#3257	2
C₄₁×#3252	2
C₄₁×#3225	2
C₄₁×#3224	2
C₄₁×#3216	2
C₄₁×#3120	2
C₄₁×#3119	2
C₄₁×#3114	2
C₄₁×#3046	2
C₄₁×#3045	2
C₄₁×#3036	2
C₄₁×#2995	2
#62076	41

Subgroups — C41×#62076 #23838277

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₄₁×#62076 #23838277