Subgroups — C₄₁×#61919 #23838120

Order 10496.

1724 conjugacy classes of subgroups.

The subgroup lattice has 1694 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₄₁×#3557	C₂	1	1	yes	maximal, characteristic, complemented
2	C₄₁×#3506	C₂	1	1	yes	maximal, characteristic, complemented
3	C₄₁×#3403	C₂	1	1	yes	maximal, characteristic, complemented
4	C₄₁×#3402	C₂	1	1	yes	maximal, characteristic, complemented
5	C₄₁×#3401	C₂	1	1	yes	maximal, characteristic, complemented
6	C₄₁×#3401	C₂	1	1	yes	maximal, characteristic, complemented
7	C₄₁×#3399	C₂	1	1	yes	maximal, characteristic, complemented
8	C₄₁×#3397	C₂	1	1	yes	maximal, characteristic, complemented
9	C₄₁×#3396	C₂	1	1	yes	maximal, characteristic, complemented
10	C₄₁×#3394	C₂	1	1	yes	maximal, characteristic, complemented
11	C₄₁×#3377	C₂	1	1	yes	maximal, characteristic, complemented
12	C₄₁×#3376	C₂	1	1	yes	maximal, characteristic, complemented
13	C₄₁×#3371	C₂	1	1	yes	maximal, characteristic, complemented
14	C₄₁×#3370	C₂	1	1	yes	maximal, characteristic, complemented
15	C₄₁×#3368	C₂	1	1	yes	maximal, characteristic, complemented
16	C₄₁×#3366	C₂	1	1	yes	maximal, characteristic, complemented
17	C₄₁×#3365	C₂	1	1	yes	maximal, characteristic, complemented
18	C₄₁×#3361	C₂	1	1	yes	maximal, characteristic, complemented
19	C₄₁×#3224	C₂	1	1	yes	maximal, characteristic, complemented
20	C₄₁×#3224	C₂	1	1	yes	maximal, characteristic, complemented
21	C₄₁×#3222	C₂	1	1	yes	maximal, characteristic, complemented
22	C₄₁×#3220	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄₁×#3219	C₂	1	1	yes	maximal, characteristic, complemented
24	C₄₁×#3212	C₂	1	1	yes	maximal, characteristic, complemented
25	C₄₁×#3125	C₂	1	1	yes	maximal, characteristic, complemented
26	C₄₁×#3124	C₂	1	1	yes	maximal, characteristic, complemented
27	C₄₁×#3120	C₂	1	1	yes	maximal, characteristic, complemented
28	C₄₁×#3119	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄₁×#3114	C₂	1	1	yes	maximal, characteristic, complemented
30	C₄₁×#3105	C₂	1	1	yes	maximal, characteristic, complemented
31	C₄₁×#2985	C₂	1	1	yes	maximal, characteristic, complemented
32	C₄₁×#563	—	2	1	no	—
33	C₄₁×#563	—	2	1	no	—
34	C₄₁×#559	C₂²	1	1	yes	characteristic
35	C₄₁×#559	C₂²	1	1	yes	characteristic
36	C₄₁×#559	C₂²	1	1	yes	characteristic
37	C₄₁×#559	C₂²	1	1	yes	characteristic
38	C₄₁×#559	C₂²	1	1	yes	characteristic, complemented
39	C₄₁×#559	C₂²	1	1	yes	characteristic, complemented
40	C₄₁×#557	C₂²	1	1	yes	characteristic, complemented
41	C₄₁×#557	C₂²	1	1	yes	characteristic, complemented
42	C₄₁×#556	C₂²	1	1	yes	characteristic
43	C₄₁×#556	C₂²	1	1	yes	characteristic
44	C₄₁×#556	C₂²	1	1	yes	characteristic, complemented
45	C₄₁×#556	C₂²	1	1	yes	characteristic, complemented
46	C₄₁×#555	—	2	1	no	—
47	C₄₁×#554	C₂²	1	1	yes	characteristic, complemented
48	C₄₁×#554	C₂²	1	1	yes	characteristic, complemented
49	C₄₁×#553	—	2	1	no	—
50	C₄₁×#553	—	2	1	no	—
51	C₄₁×#552	—	2	1	no	—
52	C₄₁×#552	—	2	1	no	—
53	C₄₁×#550	C₂²	1	1	yes	characteristic
54	C₄₁×#550	C₂²	1	1	yes	characteristic
55	C₄₁×#547	—	2	1	no	—
56	C₄₁×#542	—	2	1	no	—
57	C₄₁×#542	—	2	1	no	—
58	C₄₁×#542	C₂²	1	1	yes	characteristic
59	C₄₁×#542	C₂²	1	1	yes	characteristic
60	C₄₁×#541	C₂²	1	1	yes	characteristic
61	C₄₁×#540	C₂²	1	1	yes	characteristic
62	C₄₁×#539	—	2	1	no	—
63	C₄₁×#539	—	2	1	no	—
64	C₄₁×#538	—	2	1	no	—
65	C₄₁×#538	—	2	1	no	—
66	C₄₁×#535	C₂²	1	1	yes	characteristic
67	C₄₁×#535	C₂²	1	1	yes	characteristic
68	C₄₁×#533	C₂²	1	1	yes	characteristic
69	C₄₁×#532	C₂²	1	1	yes	characteristic
70	C₄₁×#529	C₂²	1	1	yes	characteristic
71	C₄₁×#529	C₂²	1	1	yes	characteristic
72	C₄₁×#525	—	2	1	no	—
73	C₄₁×#525	—	2	1	no	—
74	C₄₁×#520	C₂²	1	1	yes	characteristic
75	C₄₁×#520	C₂²	1	1	yes	characteristic
76	C₂×C₄×D₄×C₄₁	C₂²	1	1	yes	characteristic
77	C₄₁×#497	C₂²	1	1	yes	characteristic
78	C₄₁×#497	C₂²	1	1	yes	characteristic, complemented
79	C₄₁×#496	C₂²	1	1	yes	characteristic
80	C₄₁×#496	C₂²	1	1	yes	characteristic
81	C₄₁×#496	C₂²	1	1	yes	characteristic
82	C₄₁×#496	C₂²	1	1	yes	characteristic, complemented
83	C₄₁×#495	C₂²	1	1	yes	characteristic
84	C₄₁×#495	C₂²	1	1	yes	characteristic
85	C₄₁×#495	C₂²	1	1	yes	characteristic, complemented
86	C₄₁×#495	C₂²	1	1	yes	characteristic, complemented
87	C₄₁×#493	C₂²	1	1	yes	characteristic
88	C₄₁×#492	C₂²	1	1	yes	characteristic
89	C₄₁×#491	C₂²	1	1	yes	characteristic, complemented
90	C₄₁×#490	C₂²	1	1	yes	characteristic
91	C₄₁×#490	C₂²	1	1	yes	characteristic
92	C₄₁×#490	C₂²	1	1	yes	characteristic, complemented
93	C₄₁×#489	C₂²	1	1	yes	characteristic
94	C₄₁×#489	C₂²	1	1	yes	characteristic
95	C₄₁×#488	C₂²	1	1	yes	characteristic
96	C₄₁×#488	C₂²	1	1	yes	characteristic
97	C₄₁×#488	C₂²	1	1	yes	characteristic, complemented
98	C₄₁×#488	C₂²	1	1	yes	characteristic, complemented
99	C₄₁×#486	C₂²	1	1	yes	characteristic
100	C₄₁×#486	C₂²	1	1	yes	characteristic
101	C₄₁×#484	C₂²	1	1	yes	characteristic
102	C₄₁×#483	C₂²	1	1	yes	characteristic
103	C₄₁×#481	C₂²	1	1	yes	characteristic
104	C₄₁×#480	C₂²	1	1	yes	characteristic
105	C₄₁×#479	C₂²	1	1	yes	characteristic, complemented
106	C₄₁×#479	C₂²	1	1	yes	characteristic, complemented
107	C₄₁×#478	C₂²	1	1	yes	characteristic
108	C₄₁×#478	C₂²	1	1	yes	characteristic
109	C₄₁×#478	C₂²	1	1	yes	characteristic
110	C₄₁×#478	C₂²	1	1	yes	characteristic
111	C₄₁×#478	C₂²	1	1	yes	characteristic, complemented
112	C₄₁×#478	C₂²	1	1	yes	characteristic, complemented
113	C₄₁×#477	C₂²	1	1	yes	characteristic, complemented
114	C₄₁×#476	C₂²	1	1	yes	characteristic, complemented
115	C₄₁×#475	C₂²	1	1	yes	characteristic, complemented
116	C₄₁×#474	C₂²	1	1	yes	characteristic, complemented
117	C₄₁×#464	C₂²	1	1	yes	characteristic
118	C₄₁×#464	C₂²	1	1	yes	characteristic
119	C₄₁×#464	C₂²	1	1	yes	characteristic
120	C₄₁×#464	C₂²	1	1	yes	characteristic
121	C₄₁×#464	C₂²	1	1	yes	characteristic, complemented
122	C₄₁×#464	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×#463	C₂²	1	1	yes	characteristic
126	C₄₁×#463	C₂²	1	1	yes	characteristic
127	C₄₁×#463	C₂²	1	1	yes	characteristic
128	C₄₁×#463	C₂²	1	1	yes	characteristic
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, complemented
134	C₄₁×#463	C₂²	1	1	yes	characteristic, complemented
135	C₄₁×#463	C₂²	1	1	yes	characteristic, complemented
136	C₄₁×#463	C₂²	1	1	yes	characteristic, complemented
137	C₄₁×#462	C₂²	1	1	yes	characteristic, complemented
138	C₄₁×#462	C₂²	1	1	yes	characteristic, complemented
139	C₄₁×#461	C₂²	1	1	yes	characteristic, complemented
140	C₄₁×#461	C₂²	1	1	yes	characteristic, complemented
141	C₄₁×#460	C₂²	1	1	yes	characteristic
142	C₄₁×#460	C₂²	1	1	yes	characteristic
143	C₄₁×#460	C₂²	1	1	yes	characteristic
144	C₄₁×#460	C₂²	1	1	yes	characteristic
145	C₄₁×#460	C₂²	1	1	yes	characteristic, complemented
146	C₄₁×#460	C₂²	1	1	yes	characteristic, complemented
147	C₄₁×#459	C₂²	1	1	yes	characteristic
148	C₄₁×#459	C₂²	1	1	yes	characteristic
149	C₄₁×#459	C₂²	1	1	yes	characteristic
150	C₄₁×#459	C₂²	1	1	yes	characteristic
151	C₄₁×#459	C₂²	1	1	yes	characteristic, complemented
152	C₄₁×#459	C₂²	1	1	yes	characteristic, complemented
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×#450	C₂²	1	1	yes	characteristic
158	C₄₁×#450	C₂²	1	1	yes	characteristic
159	C₄₁×#449	C₂²	1	1	yes	characteristic
160	C₄₁×#449	C₂²	1	1	yes	characteristic
161	C₄₁×#449	C₂²	1	1	yes	characteristic
162	C₄₁×#449	C₂²	1	1	yes	characteristic
163	C₄₁×#447	C₂²	1	1	yes	characteristic
164	C₄₁×#447	C₂²	1	1	yes	characteristic
165	C₄₁×#446	C₂²	1	1	yes	characteristic, complemented
166	C₄₁×#446	C₂²	1	1	yes	characteristic, complemented
167	C₄₁×#446	C₂²	1	1	yes	characteristic, complemented
168	C₄₁×#446	C₂²	1	1	yes	characteristic, complemented
169	C₄₁×#446	C₂²	1	1	yes	characteristic, complemented
170	C₄₁×#446	C₂²	1	1	yes	characteristic, complemented
171	C₈×Q₈×C₄₁	C₂²	1	1	yes	characteristic, complemented
172	C₈×Q₈×C₄₁	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×#442	C₂²	1	1	yes	characteristic, complemented
177	C₄₁×#441	C₂²	1	1	yes	characteristic, complemented
178	C₄₁×#441	C₂²	1	1	yes	characteristic, complemented
179	C₄₁×#440	C₂²	1	1	yes	characteristic
180	C₄₁×#440	C₂²	1	1	yes	characteristic
181	C₄₁×#440	C₂²	1	1	yes	characteristic, complemented
182	C₄₁×#440	C₂²	1	1	yes	characteristic, complemented
183	C₄₁×#440	C₂²	1	1	yes	characteristic, complemented
184	C₄₁×#440	C₂²	1	1	yes	characteristic, complemented
185	C₄×Q₁₆×C₄₁	C₂²	1	1	yes	characteristic, complemented
186	C₄×Q₁₆×C₄₁	C₂²	1	1	yes	characteristic, complemented
187	C₄×SD₁₆×C₄₁	C₂²	1	1	yes	characteristic
188	C₄×SD₁₆×C₄₁	C₂²	1	1	yes	characteristic
189	C₄×SD₁₆×C₄₁	C₂²	1	1	yes	characteristic, complemented
190	C₄×SD₁₆×C₄₁	C₂²	1	1	yes	characteristic, complemented
191	C₄×SD₁₆×C₄₁	C₂²	1	1	yes	characteristic, complemented
192	C₄×SD₁₆×C₄₁	C₂²	1	1	yes	characteristic, complemented
193	C₄×D₈×C₄₁	C₂²	1	1	yes	characteristic
194	C₄×D₈×C₄₁	C₂²	1	1	yes	characteristic
195	C₄×D₈×C₄₁	C₂²	1	1	yes	characteristic, complemented
196	C₄×D₈×C₄₁	C₂²	1	1	yes	characteristic, complemented
197	C₄₁×#433	C₂²	1	1	yes	characteristic
198	C₄₁×#433	C₂²	1	1	yes	characteristic
199	C₄₁×#433	C₂²	1	1	yes	characteristic
200	C₄₁×#433	C₂²	1	1	yes	characteristic
201	C₄₁×#432	C₂²	1	1	yes	characteristic
202	C₄₁×#431	C₂²	1	1	yes	characteristic
203	C₂×#41×C₄₁	—	2	1	no	—
204	C₂×#41×C₄₁	—	2	1	no	—
205	C₂×#41×C₄₁	C₂³	1	1	yes	characteristic
206	C₂×#41×C₄₁	C₂³	1	1	yes	characteristic
207	C₂²×D₄×C₄₁	C₂³	1	1	yes	characteristic
208	C₂³×C₄×C₄₁	—	2	1	no	—
209	C₂×Q₁₆×C₄₁	C₂³	1	1	yes	characteristic
210	C₂×Q₁₆×C₄₁	C₂³	1	1	yes	characteristic
211	C₂×Q₁₆×C₄₁	C₂³	1	1	yes	characteristic
212	C₂×Q₁₆×C₄₁	C₂³	1	1	yes	characteristic
213	C₂×SD₁₆×C₄₁	C₂³	1	1	yes	characteristic
214	C₂×SD₁₆×C₄₁	C₂³	1	1	yes	characteristic
215	C₂×SD₁₆×C₄₁	C₂³	1	1	yes	characteristic
216	C₂×SD₁₆×C₄₁	C₂³	1	1	yes	characteristic
217	C₂×SD₁₆×C₄₁	C₂³	1	1	yes	characteristic
218	C₂×SD₁₆×C₄₁	C₂³	1	1	yes	characteristic
219	C₂×SD₁₆×C₄₁	C₂³	1	1	yes	characteristic
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×D₈×C₄₁	C₂³	1	1	yes	characteristic
226	C₂×D₈×C₄₁	C₂³	1	1	yes	characteristic
227	C₂×D₈×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	C₄⋊Q₈×C₄₁	—	2	1	no	—
234	C₄⋊Q₈×C₄₁	—	2	1	no	—
235	C₄⋊Q₈×C₄₁	D₄	1	1	yes	characteristic
236	C₄⋊Q₈×C₄₁	D₄	1	1	yes	characteristic
237	C₄⋊Q₈×C₄₁	C₂³	1	1	yes	characteristic
238	C₄⋊Q₈×C₄₁	C₂³	1	1	yes	characteristic
239	C₄⋊Q₈×C₄₁	C₂³	1	1	yes	characteristic
240	C₄⋊Q₈×C₄₁	C₂³	1	1	yes	characteristic
241	#127×C₄₁	C₂³	1	1	yes	characteristic
242	#127×C₄₁	C₂³	1	1	yes	characteristic
243	#127×C₄₁	C₂³	1	1	yes	characteristic
244	#127×C₄₁	C₂³	1	1	yes	characteristic
245	#127×C₄₁	C₂³	1	1	yes	characteristic
246	#127×C₄₁	C₂³	1	1	yes	characteristic
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	#126×C₄₁	—	2	1	no	—
257	#126×C₄₁	—	2	1	no	—
258	#126×C₄₁	—	2	1	no	—
259	#126×C₄₁	—	2	1	no	—
260	#126×C₄₁	—	2	1	no	—
261	#125×C₄₁	—	2	1	no	—
262	#125×C₄₁	—	2	1	no	—
263	#125×C₄₁	—	2	1	no	—
264	#125×C₄₁	—	2	1	no	—
265	#125×C₄₁	—	2	1	no	—
266	#125×C₄₁	—	2	1	no	—
267	#125×C₄₁	D₄	1	1	yes	characteristic
268	#125×C₄₁	D₄	1	1	yes	characteristic
269	#125×C₄₁	C₂³	1	1	yes	characteristic
270	#125×C₄₁	C₂³	1	1	yes	characteristic
271	#125×C₄₁	C₂³	1	1	yes	characteristic
272	#125×C₄₁	C₂³	1	1	yes	characteristic
273	#124×C₄₁	—	2	1	no	—
274	#124×C₄₁	—	2	1	no	—
275	#124×C₄₁	—	2	1	no	—
276	#124×C₄₁	—	2	1	no	—
277	#124×C₄₁	—	2	1	no	—
278	#124×C₄₁	—	2	1	no	—
279	#124×C₄₁	—	2	1	no	—
280	#124×C₄₁	—	2	1	no	—
281	#124×C₄₁	C₂³	1	1	yes	characteristic
282	#124×C₄₁	C₂³	1	1	yes	characteristic
283	#124×C₄₁	C₂³	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	C₂²⋊Q₈×C₄₁	—	2	1	no	—
310	C₂²⋊Q₈×C₄₁	—	2	1	no	—
311	C₂²⋊Q₈×C₄₁	—	2	1	no	—
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	D₄	1	1	yes	characteristic
322	C₂²⋊Q₈×C₄₁	D₄	1	1	yes	characteristic
323	C₂²⋊Q₈×C₄₁	D₄	1	1	yes	characteristic
324	C₂²⋊Q₈×C₄₁	D₄	1	1	yes	characteristic
325	C₂²⋊Q₈×C₄₁	C₂³	1	1	yes	characteristic
326	C₂²⋊Q₈×C₄₁	C₂³	1	1	yes	characteristic
327	#121×C₄₁	—	2	1	no	—
328	#121×C₄₁	—	2	1	no	—
329	#121×C₄₁	—	2	1	no	—
330	#121×C₄₁	—	2	1	no	—
331	#121×C₄₁	—	2	1	no	—
332	#121×C₄₁	—	2	1	no	—
333	#121×C₄₁	—	2	1	no	—
334	#121×C₄₁	—	2	1	no	—
335	#121×C₄₁	—	2	1	no	—
336	#121×C₄₁	—	2	1	no	—
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	C₂³	1	1	yes	characteristic
342	#121×C₄₁	C₂³	1	1	yes	characteristic
343	#120×C₄₁	—	2	1	no	—
344	#120×C₄₁	—	2	1	no	—
345	#120×C₄₁	—	2	1	no	—
346	#120×C₄₁	—	2	1	no	—
347	C₄×Q₈×C₄₁	—	2	1	no	—
348	C₄×Q₈×C₄₁	—	2	1	no	—
349	C₄×Q₈×C₄₁	C₂³	1	1	yes	characteristic
350	C₄×Q₈×C₄₁	C₂³	1	1	yes	characteristic
351	C₄×Q₈×C₄₁	C₂³	1	1	yes	characteristic
352	C₄×Q₈×C₄₁	C₂³	1	1	yes	characteristic
353	C₄×Q₈×C₄₁	C₂³	1	1	yes	characteristic
354	C₄×Q₈×C₄₁	C₂³	1	1	yes	characteristic
355	C₄×Q₈×C₄₁	C₂³	1	1	yes	characteristic
356	C₄×Q₈×C₄₁	C₂³	1	1	yes	characteristic
357	C₄×Q₈×C₄₁	C₂³	1	1	yes	characteristic
358	C₄×Q₈×C₄₁	C₂³	1	1	yes	characteristic
359	C₄×Q₈×C₄₁	C₂³	1	1	yes	characteristic
360	C₄×Q₈×C₄₁	C₂³	1	1	yes	characteristic
361	C₄×Q₈×C₄₁	C₂³	1	1	yes	characteristic
362	C₄×Q₈×C₄₁	C₂³	1	1	yes	characteristic
363	C₄×D₄×C₄₁	—	2	1	no	—
364	C₄×D₄×C₄₁	—	2	1	no	—
365	C₄×D₄×C₄₁	—	2	1	no	—
366	C₄×D₄×C₄₁	—	2	1	no	—
367	C₄×D₄×C₄₁	—	2	1	no	—
368	C₄×D₄×C₄₁	—	2	1	no	—
369	C₄×D₄×C₄₁	—	2	1	no	—
370	C₄×D₄×C₄₁	—	2	1	no	—
371	C₄×D₄×C₄₁	—	2	1	no	—
372	C₄×D₄×C₄₁	—	2	1	no	—
373	C₄×D₄×C₄₁	—	2	1	no	—
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	C₂³	1	1	yes	characteristic
380	C₄×D₄×C₄₁	C₂³	1	1	yes	characteristic
381	C₄×D₄×C₄₁	C₂³	1	1	yes	characteristic
382	C₄×D₄×C₄₁	C₂³	1	1	yes	characteristic
383	C₄×D₄×C₄₁	C₂³	1	1	yes	characteristic
384	C₄×D₄×C₄₁	C₂³	1	1	yes	characteristic
385	C₄×D₄×C₄₁	C₂³	1	1	yes	characteristic
386	C₄×D₄×C₄₁	C₂³	1	1	yes	characteristic
387	C₄×D₄×C₄₁	C₂³	1	1	yes	characteristic
388	C₄×D₄×C₄₁	C₂³	1	1	yes	characteristic
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	#117×C₄₁	—	2	1	no	—
394	#117×C₄₁	—	2	1	no	—
395	#117×C₄₁	—	2	1	no	—
396	#117×C₄₁	—	2	1	no	—
397	#117×C₄₁	—	2	1	no	—
398	#117×C₄₁	—	2	1	no	—
399	#117×C₄₁	—	2	1	no	—
400	#117×C₄₁	—	2	1	no	—
401	#117×C₄₁	C₂³	1	1	yes	characteristic
402	#117×C₄₁	C₂³	1	1	yes	characteristic
403	C₂×C₄⋊C₄×C₄₁	—	2	1	no	—
404	C₂×C₄⋊C₄×C₄₁	—	2	1	no	—
405	C₂×C₄⋊C₄×C₄₁	—	2	1	no	—
406	C₂×C₄⋊C₄×C₄₁	—	2	1	no	—
407	C₂×C₄⋊C₄×C₄₁	C₂³	1	1	yes	characteristic
408	C₂×C₂²⋊C₄×C₄₁	—	2	1	no	—
409	C₂×C₄²×C₄₁	C₂³	1	1	yes	characteristic
410	#107×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	#106×C₄₁	C₂³	1	1	yes	characteristic
415	#106×C₄₁	C₂³	1	1	yes	characteristic
416	#106×C₄₁	C₂³	1	1	yes	characteristic
417	#106×C₄₁	C₂³	1	1	yes	characteristic
418	C₄⋊C₈×C₄₁	C₂³	1	1	yes	characteristic
419	C₄⋊C₈×C₄₁	C₂³	1	1	yes	characteristic
420	C₄⋊C₈×C₄₁	C₂³	1	1	yes	characteristic
421	C₄⋊C₈×C₄₁	C₂³	1	1	yes	characteristic
422	C₄⋊C₈×C₄₁	C₂³	1	1	yes	characteristic
423	C₄⋊C₈×C₄₁	C₂³	1	1	yes	characteristic
424	C₄⋊C₈×C₄₁	C₂³	1	1	yes	characteristic
425	C₄⋊C₈×C₄₁	C₂³	1	1	yes	characteristic
426	C₄⋊C₈×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	#103×C₄₁	C₂³	1	1	yes	characteristic
431	#103×C₄₁	C₂³	1	1	yes	characteristic
432	#103×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	#102×C₄₁	C₂³	1	1	yes	characteristic
443	#102×C₄₁	C₂³	1	1	yes	characteristic
444	#102×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	C₂²⋊C₈×C₄₁	C₂³	1	1	yes	characteristic
463	C₂²⋊C₈×C₄₁	C₂³	1	1	yes	characteristic
464	C₂²⋊C₈×C₄₁	C₂³	1	1	yes	characteristic
465	C₂²⋊C₈×C₄₁	C₂³	1	1	yes	characteristic
466	#97×C₄₁	C₂³	1	1	yes	characteristic
467	#97×C₄₁	C₂³	1	1	yes	characteristic
468	#97×C₄₁	C₂³	1	1	yes	characteristic
469	#97×C₄₁	C₂³	1	1	yes	characteristic
470	#97×C₄₁	C₂³	1	1	yes	characteristic
471	#97×C₄₁	C₂³	1	1	yes	characteristic
472	C₄×C₈×C₄₁	C₂³	1	1	yes	characteristic
473	C₄×C₈×C₄₁	C₂³	1	1	yes	characteristic
474	C₄×C₈×C₄₁	C₂³	1	1	yes	characteristic
475	C₄×C₈×C₄₁	C₂³	1	1	yes	characteristic
476	C₄×C₈×C₄₁	C₂³	1	1	yes	characteristic
477	C₄×C₈×C₄₁	C₂³	1	1	yes	characteristic
478	C₂⁴×C₄₁	—	2	1	no	—
479	#41×C₄₁	—	4	1	no	—
480	#41×C₄₁	—	4	1	no	—
481	#41×C₄₁	—	4	1	no	—
482	#41×C₄₁	—	4	1	no	—
483	#41×C₄₁	—	8	2	no	—
484	#41×C₄₁	—	8	2	no	—
485	C₂×Q₈×C₄₁	—	2	1	no	—
486	C₂×Q₈×C₄₁	—	2	1	no	—
487	C₂×Q₈×C₄₁	C₂×D₄	1	1	yes	characteristic
488	C₂×Q₈×C₄₁	C₂×D₄	1	1	yes	characteristic
489	C₂×Q₈×C₄₁	C₂×D₄	1	1	yes	characteristic
490	C₂×Q₈×C₄₁	C₂×D₄	1	1	yes	characteristic
491	C₂×Q₈×C₄₁	C₂⁴	1	1	yes	characteristic
492	C₂×Q₈×C₄₁	C₂⁴	1	1	yes	characteristic
493	C₂×Q₈×C₄₁	C₂⁴	1	1	yes	characteristic
494	C₂×Q₈×C₄₁	C₂⁴	1	1	yes	characteristic
495	C₂×D₄×C₄₁	—	2	1	no	—
496	C₂×D₄×C₄₁	—	2	1	no	—
497	C₂×D₄×C₄₁	—	2	1	no	—
498	C₂×D₄×C₄₁	—	2	1	no	—
499	C₂×D₄×C₄₁	—	2	1	no	—
500	C₂×D₄×C₄₁	—	2	1	no	—
501	C₂×D₄×C₄₁	—	2	1	no	—
502	C₂×D₄×C₄₁	—	2	1	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	—	4	1	no	—
513	C₂×D₄×C₄₁	—	4	1	no	—
514	C₂×D₄×C₄₁	C₂⁴	1	1	yes	characteristic
515	C₂×D₄×C₄₁	C₂⁴	1	1	yes	characteristic
516	C₂×D₄×C₄₁	C₂⁴	1	1	yes	characteristic
517	C₂×D₄×C₄₁	C₂⁴	1	1	yes	characteristic
518	C₂×D₄×C₄₁	C₂⁴	1	1	yes	characteristic
519	C₂×D₄×C₄₁	C₂⁴	1	1	yes	characteristic
520	C₂²×C₄×C₄₁	—	2	1	no	—
521	C₂²×C₄×C₄₁	—	2	1	no	—
522	C₂²×C₄×C₄₁	—	2	1	no	—
523	C₂²×C₄×C₄₁	—	2	1	no	—
524	C₂²×C₄×C₄₁	—	2	1	no	—
525	C₂²×C₄×C₄₁	—	2	1	no	—
526	C₂²×C₄×C₄₁	—	2	1	no	—
527	C₂²×C₄×C₄₁	—	2	1	no	—
528	C₂²×C₄×C₄₁	—	2	1	no	—
529	C₂²×C₄×C₄₁	—	2	1	no	—
530	C₂²×C₄×C₄₁	—	2	1	no	—
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	—	8	2	no	—
538	C₂²×C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
539	C₂²×C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
540	C₂²×C₄×C₄₁	C₂⁴	1	1	yes	characteristic
541	Q₁₆×C₄₁	—	4	1	no	—
542	Q₁₆×C₄₁	—	4	1	no	—
543	Q₁₆×C₄₁	—	4	1	no	—
544	Q₁₆×C₄₁	—	4	1	no	—
545	SD₁₆×C₄₁	—	4	1	no	—
546	SD₁₆×C₄₁	—	4	1	no	—
547	SD₁₆×C₄₁	—	4	1	no	—
548	SD₁₆×C₄₁	—	4	1	no	—
549	SD₁₆×C₄₁	—	4	1	no	—
550	SD₁₆×C₄₁	—	4	1	no	—
551	SD₁₆×C₄₁	—	4	1	no	—
552	SD₁₆×C₄₁	—	4	1	no	—
553	SD₁₆×C₄₁	—	4	1	no	—
554	SD₁₆×C₄₁	—	4	1	no	—
555	SD₁₆×C₄₁	—	4	1	no	—
556	SD₁₆×C₄₁	—	4	1	no	—
557	D₈×C₄₁	—	4	1	no	—
558	D₈×C₄₁	—	4	1	no	—
559	D₈×C₄₁	—	4	1	no	—
560	D₈×C₄₁	—	4	1	no	—
561	D₈×C₄₁	—	4	1	no	—
562	D₈×C₄₁	—	4	1	no	—
563	D₈×C₄₁	—	4	1	no	—
564	D₈×C₄₁	—	4	1	no	—
565	C₂×C₈×C₄₁	C₂⁴	1	1	yes	characteristic
566	C₂×C₈×C₄₁	C₂⁴	1	1	yes	characteristic
567	C₂×C₈×C₄₁	C₂⁴	1	1	yes	characteristic
568	C₂×C₈×C₄₁	C₂⁴	1	1	yes	characteristic
569	C₂×C₈×C₄₁	C₂⁴	1	1	yes	characteristic
570	C₂×C₈×C₄₁	C₂⁴	1	1	yes	characteristic
571	C₂×C₈×C₄₁	C₂⁴	1	1	yes	characteristic
572	C₂×C₈×C₄₁	C₂⁴	1	1	yes	characteristic
573	C₄⋊C₄×C₄₁	—	2	1	no	—
574	C₄⋊C₄×C₄₁	—	2	1	no	—
575	C₄⋊C₄×C₄₁	—	2	1	no	—
576	C₄⋊C₄×C₄₁	—	2	1	no	—
577	C₄⋊C₄×C₄₁	—	2	1	no	—
578	C₄⋊C₄×C₄₁	—	2	1	no	—
579	C₄⋊C₄×C₄₁	—	2	1	no	—
580	C₄⋊C₄×C₄₁	—	2	1	no	—
581	C₄⋊C₄×C₄₁	—	2	1	no	—
582	C₄⋊C₄×C₄₁	—	2	1	no	—
583	C₄⋊C₄×C₄₁	—	2	1	no	—
584	C₄⋊C₄×C₄₁	—	2	1	no	—
585	C₄⋊C₄×C₄₁	—	2	1	no	—
586	C₄⋊C₄×C₄₁	—	2	1	no	—
587	C₄⋊C₄×C₄₁	—	2	1	no	—
588	C₄⋊C₄×C₄₁	—	2	1	no	—
589	C₄⋊C₄×C₄₁	—	2	1	no	—
590	C₄⋊C₄×C₄₁	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
601	C₄⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
602	C₄⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
603	C₄⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
604	C₄⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
605	C₄⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
606	C₄⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
607	C₄⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
608	C₄⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
609	C₄⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
610	C₄⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
611	C₄⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
612	C₄⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
613	C₄⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
614	C₄⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
615	C₄⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
616	C₄⋊C₄×C₄₁	C₂⁴	1	1	yes	characteristic
617	C₄⋊C₄×C₄₁	C₂⁴	1	1	yes	characteristic
618	C₄⋊C₄×C₄₁	C₂⁴	1	1	yes	characteristic
619	C₄⋊C₄×C₄₁	C₂⁴	1	1	yes	characteristic
620	C₄⋊C₄×C₄₁	C₂⁴	1	1	yes	characteristic
621	C₄⋊C₄×C₄₁	C₂⁴	1	1	yes	characteristic
622	C₂²⋊C₄×C₄₁	—	2	1	no	—
623	C₂²⋊C₄×C₄₁	—	2	1	no	—
624	C₂²⋊C₄×C₄₁	—	2	1	no	—
625	C₂²⋊C₄×C₄₁	—	2	1	no	—
626	C₂²⋊C₄×C₄₁	—	2	1	no	—
627	C₂²⋊C₄×C₄₁	—	2	1	no	—
628	C₂²⋊C₄×C₄₁	—	2	1	no	—
629	C₂²⋊C₄×C₄₁	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
661	C₂²⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
662	C₂²⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
663	C₂²⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
664	C₄²×C₄₁	—	2	1	no	—
665	C₄²×C₄₁	—	2	1	no	—
666	C₄²×C₄₁	—	2	1	no	—
667	C₄²×C₄₁	—	2	1	no	—
668	C₄²×C₄₁	—	2	1	no	—
669	C₄²×C₄₁	—	2	1	no	—
670	C₄²×C₄₁	—	2	1	no	—
671	C₄²×C₄₁	—	2	1	no	—
672	C₄²×C₄₁	—	2	1	no	—
673	C₄²×C₄₁	—	2	1	no	—
674	C₄²×C₄₁	C₂×D₄	1	1	yes	characteristic
675	C₄²×C₄₁	C₂×D₄	1	1	yes	characteristic
676	C₄²×C₄₁	C₂⁴	1	1	yes	characteristic
677	C₄²×C₄₁	C₂⁴	1	1	yes	characteristic
678	C₄²×C₄₁	C₂⁴	1	1	yes	characteristic
679	C₄²×C₄₁	C₂⁴	1	1	yes	characteristic
680	C₄²×C₄₁	C₂⁴	1	1	yes	characteristic
681	C₄²×C₄₁	C₂⁴	1	1	yes	characteristic
682	C₂³×C₄₁	—	2	1	no	—
683	C₂³×C₄₁	—	2	1	no	—
684	C₂³×C₄₁	—	2	1	no	—
685	C₂³×C₄₁	—	2	1	no	—
686	C₂³×C₄₁	—	2	1	no	—
687	C₂³×C₄₁	—	2	1	no	—
688	C₂³×C₄₁	—	4	2	no	—
689	C₂³×C₄₁	—	8	1	no	—
690	C₂³×C₄₁	—	8	1	no	—
691	C₂³×C₄₁	C₂²×D₄	1	1	yes	characteristic
692	Q₈×C₄₁	—	2	1	no	—
693	Q₈×C₄₁	—	2	1	no	—
694	Q₈×C₄₁	—	2	1	no	—
695	Q₈×C₄₁	—	2	1	no	—
696	Q₈×C₄₁	—	2	1	no	—
697	Q₈×C₄₁	—	2	1	no	—
698	Q₈×C₄₁	—	2	1	no	—
699	Q₈×C₄₁	—	2	1	no	—
700	Q₈×C₄₁	—	4	1	no	—
701	Q₈×C₄₁	—	4	1	no	—
702	Q₈×C₄₁	—	4	1	no	—
703	Q₈×C₄₁	—	4	1	no	—
704	Q₈×C₄₁	—	8	1	no	—
705	Q₈×C₄₁	—	8	1	no	—
706	D₄×C₄₁	—	2	1	no	—
707	D₄×C₄₁	—	2	1	no	—
708	D₄×C₄₁	—	2	1	no	—
709	D₄×C₄₁	—	2	1	no	—
710	D₄×C₄₁	—	2	1	no	—
711	D₄×C₄₁	—	2	1	no	—
712	D₄×C₄₁	—	2	1	no	—
713	D₄×C₄₁	—	2	1	no	—
714	D₄×C₄₁	—	2	1	no	—
715	D₄×C₄₁	—	2	1	no	—
716	D₄×C₄₁	—	2	1	no	—
717	D₄×C₄₁	—	2	1	no	—
718	D₄×C₄₁	—	4	2	no	—
719	D₄×C₄₁	—	4	2	no	—
720	D₄×C₄₁	—	4	2	no	—
721	D₄×C₄₁	—	4	2	no	—
722	D₄×C₄₁	—	8	1	no	—
723	D₄×C₄₁	—	8	1	no	—
724	D₄×C₄₁	—	8	1	no	—
725	D₄×C₄₁	—	8	1	no	—
726	D₄×C₄₁	—	8	1	no	—
727	D₄×C₄₁	—	8	1	no	—
728	D₄×C₄₁	—	8	1	no	—
729	D₄×C₄₁	—	8	1	no	—
730	D₄×C₄₁	—	8	1	no	—
731	D₄×C₄₁	—	8	1	no	—
732	D₄×C₄₁	—	8	1	no	—
733	D₄×C₄₁	—	8	1	no	—
734	D₄×C₄₁	—	8	1	no	—
735	C₂×C₄×C₄₁	—	2	1	no	—
736	C₂×C₄×C₄₁	—	2	1	no	—
737	C₂×C₄×C₄₁	—	2	1	no	—
738	C₂×C₄×C₄₁	—	2	1	no	—
739	C₂×C₄×C₄₁	—	2	1	no	—
740	C₂×C₄×C₄₁	—	2	1	no	—
741	C₂×C₄×C₄₁	—	2	1	no	—
742	C₂×C₄×C₄₁	—	2	1	no	—
743	C₂×C₄×C₄₁	—	2	1	no	—
744	C₂×C₄×C₄₁	—	2	1	no	—
745	C₂×C₄×C₄₁	—	2	1	no	—
746	C₂×C₄×C₄₁	—	2	1	no	—
747	C₂×C₄×C₄₁	—	4	1	no	—
748	C₂×C₄×C₄₁	—	4	1	no	—
749	C₂×C₄×C₄₁	—	4	2	no	—
750	C₂×C₄×C₄₁	—	4	2	no	—
751	C₂×C₄×C₄₁	—	4	2	no	—
752	C₂×C₄×C₄₁	—	4	2	no	—
753	C₂×C₄×C₄₁	—	8	1	no	—
754	C₂×C₄×C₄₁	—	8	1	no	—
755	C₂×C₄×C₄₁	—	8	1	no	—
756	C₂×C₄×C₄₁	—	8	1	no	—
757	C₂×C₄×C₄₁	—	8	1	no	—
758	C₂×C₄×C₄₁	—	8	1	no	—
759	C₂×C₄×C₄₁	—	8	1	no	—
760	C₂×C₄×C₄₁	—	8	1	no	—
761	C₂×C₄×C₄₁	—	8	1	no	—
762	C₂×C₄×C₄₁	—	8	1	no	—
763	C₂×C₄×C₄₁	—	8	1	no	—
764	C₂×C₄×C₄₁	—	8	1	no	—
765	C₂×C₄×C₄₁	—	8	1	no	—
766	C₂×C₄×C₄₁	C₂²×D₄	1	1	yes	characteristic
767	C₂×C₄×C₄₁	C₂²×D₄	1	1	yes	characteristic
768	C₂×C₄×C₄₁	C₂²×D₄	1	1	yes	characteristic
769	C₂×C₄×C₄₁	C₂²×D₄	1	1	yes	characteristic
770	C₂×C₄×C₄₁	C₂²×D₄	1	1	yes	characteristic
771	C₂×C₄×C₄₁	C₂²×D₄	1	1	yes	characteristic
772	C₂×C₄×C₄₁	C₂²×D₄	1	1	yes	characteristic
773	C₂×C₄×C₄₁	C₂²×D₄	1	1	yes	characteristic
774	C₂×C₄×C₄₁	C₂²×D₄	1	1	yes	characteristic
775	C₂×C₄×C₄₁	C₂²×D₄	1	1	yes	characteristic
776	C₂×C₄×C₄₁	C₂²×D₄	1	1	yes	characteristic
777	C₂×C₄×C₄₁	C₂²×D₄	1	1	yes	characteristic
778	C₂×C₄×C₄₁	C₂²×D₄	1	1	yes	characteristic
779	C₂×C₄×C₄₁	C₂⁵	1	1	yes	characteristic
780	C₈×C₄₁	—	2	1	no	—
781	C₈×C₄₁	—	2	1	no	—
782	C₈×C₄₁	—	2	1	no	—
783	C₈×C₄₁	—	2	1	no	—
784	C₈×C₄₁	—	2	1	no	—
785	C₈×C₄₁	—	2	1	no	—
786	C₈×C₄₁	—	2	1	no	—
787	C₈×C₄₁	—	2	1	no	—
788	#61919	C₄₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
789	C₂²×C₄₁	—	2	1	no	—
790	C₂²×C₄₁	—	2	1	no	—
791	C₂²×C₄₁	—	2	1	no	—
792	C₂²×C₄₁	—	4	1	no	—
793	C₂²×C₄₁	—	4	1	no	—
794	C₂²×C₄₁	—	4	1	no	—
795	C₂²×C₄₁	—	4	1	no	—
796	C₂²×C₄₁	—	4	1	no	—
797	C₂²×C₄₁	—	4	1	no	—
798	C₂²×C₄₁	—	4	1	no	—
799	C₂²×C₄₁	—	4	1	no	—
800	C₂²×C₄₁	—	4	1	no	—
801	C₂²×C₄₁	—	4	1	no	—
802	C₂²×C₄₁	—	4	1	no	—
803	C₂²×C₄₁	—	4	1	no	—
804	C₂²×C₄₁	—	4	1	no	—
805	C₂²×C₄₁	—	4	1	no	—
806	C₂²×C₄₁	—	4	1	no	—
807	C₂²×C₄₁	—	4	1	no	—
808	C₂²×C₄₁	—	4	1	no	—
809	C₂²×C₄₁	—	4	1	no	—
810	C₂²×C₄₁	—	8	4	no	—
811	C₂²×C₄₁	C₂³×D₄	1	1	yes	characteristic
812	C₄×C₄₁	—	2	1	no	—
813	C₄×C₄₁	—	2	1	no	—
814	C₄×C₄₁	—	2	1	no	—
815	C₄×C₄₁	—	2	1	no	—
816	C₄×C₄₁	—	2	1	no	—
817	C₄×C₄₁	—	2	1	no	—
818	C₄×C₄₁	—	2	1	no	—
819	C₄×C₄₁	—	2	1	no	—
820	C₄×C₄₁	—	2	1	no	—
821	C₄×C₄₁	—	2	1	no	—
822	C₄×C₄₁	—	2	1	no	—
823	C₄×C₄₁	—	2	1	no	—
824	C₄×C₄₁	—	2	1	no	—
825	C₄×C₄₁	—	4	1	no	—
826	C₄×C₄₁	—	4	1	no	—
827	C₄×C₄₁	—	4	1	no	—
828	C₄×C₄₁	—	4	1	no	—
829	C₄×C₄₁	—	4	1	no	—
830	C₄×C₄₁	—	4	1	no	—
831	C₄×C₄₁	—	4	1	no	—
832	C₄×C₄₁	—	4	1	no	—
833	C₄×C₄₁	—	4	1	no	—
834	C₄×C₄₁	—	4	1	no	—
835	C₄×C₄₁	#585	1	1	yes	characteristic
836	C₄×C₄₁	#585	1	1	yes	characteristic
837	#3557	C₂×C₄₁	1	1	yes	characteristic, complemented
838	#3506	C₂×C₄₁	1	1	yes	characteristic, complemented
839	#3403	C₂×C₄₁	1	1	yes	characteristic, complemented
840	#3402	C₂×C₄₁	1	1	yes	characteristic, complemented
841	#3401	C₂×C₄₁	1	1	yes	characteristic, complemented
842	#3401	C₂×C₄₁	1	1	yes	characteristic, complemented
843	#3399	C₂×C₄₁	1	1	yes	characteristic, complemented
844	#3397	C₂×C₄₁	1	1	yes	characteristic, complemented
845	#3396	C₂×C₄₁	1	1	yes	characteristic, complemented
846	#3394	C₂×C₄₁	1	1	yes	characteristic, complemented
847	#3377	C₂×C₄₁	1	1	yes	characteristic, complemented
848	#3376	C₂×C₄₁	1	1	yes	characteristic, complemented
849	#3371	C₂×C₄₁	1	1	yes	characteristic, complemented
850	#3370	C₂×C₄₁	1	1	yes	characteristic, complemented
851	#3368	C₂×C₄₁	1	1	yes	characteristic, complemented
852	#3366	C₂×C₄₁	1	1	yes	characteristic, complemented
853	#3365	C₂×C₄₁	1	1	yes	characteristic, complemented
854	#3361	C₂×C₄₁	1	1	yes	characteristic, complemented
855	#3224	C₂×C₄₁	1	1	yes	characteristic, complemented
856	#3224	C₂×C₄₁	1	1	yes	characteristic, complemented
857	#3222	C₂×C₄₁	1	1	yes	characteristic, complemented
858	#3220	C₂×C₄₁	1	1	yes	characteristic, complemented
859	#3219	C₂×C₄₁	1	1	yes	characteristic, complemented
860	#3212	C₂×C₄₁	1	1	yes	characteristic, complemented
861	#3125	C₂×C₄₁	1	1	yes	characteristic, complemented
862	#3124	C₂×C₄₁	1	1	yes	characteristic, complemented
863	#3120	C₂×C₄₁	1	1	yes	characteristic, complemented
864	#3119	C₂×C₄₁	1	1	yes	characteristic, complemented
865	#3114	C₂×C₄₁	1	1	yes	characteristic, complemented
866	#3105	C₂×C₄₁	1	1	yes	characteristic, complemented
867	#2985	C₂×C₄₁	1	1	yes	characteristic, complemented
868	C₂×C₄₁	—	4	1	no	—
869	C₂×C₄₁	—	8	1	no	—
870	C₂×C₄₁	—	8	1	no	—
871	C₂×C₄₁	—	8	1	no	—
872	C₂×C₄₁	—	8	1	no	—
873	C₂×C₄₁	—	8	1	no	—
874	C₂×C₄₁	—	8	1	no	—
875	C₂×C₄₁	#3487	1	1	yes	characteristic
876	C₂×C₄₁	#3584	1	1	yes	characteristic
877	C₂×C₄₁	#3585	1	1	yes	characteristic
878	#563	—	2	1	no	—
879	#563	—	2	1	no	—
880	#559	C₂²×C₄₁	1	1	yes	characteristic
881	#559	C₂²×C₄₁	1	1	yes	characteristic
882	#559	C₂²×C₄₁	1	1	yes	characteristic
883	#559	C₂²×C₄₁	1	1	yes	characteristic
884	#559	C₂²×C₄₁	1	1	yes	characteristic, complemented
885	#559	C₂²×C₄₁	1	1	yes	characteristic, complemented
886	#557	C₂²×C₄₁	1	1	yes	characteristic, complemented
887	#557	C₂²×C₄₁	1	1	yes	characteristic, complemented
888	#556	C₂²×C₄₁	1	1	yes	characteristic
889	#556	C₂²×C₄₁	1	1	yes	characteristic
890	#556	C₂²×C₄₁	1	1	yes	characteristic, complemented
891	#556	C₂²×C₄₁	1	1	yes	characteristic, complemented
892	#555	—	2	1	no	—
893	#554	C₂²×C₄₁	1	1	yes	characteristic, complemented
894	#554	C₂²×C₄₁	1	1	yes	characteristic, complemented
895	#553	—	2	1	no	—
896	#553	—	2	1	no	—
897	#552	—	2	1	no	—
898	#552	—	2	1	no	—
899	#550	C₂²×C₄₁	1	1	yes	characteristic
900	#550	C₂²×C₄₁	1	1	yes	characteristic
901	#547	—	2	1	no	—
902	#542	—	2	1	no	—
903	#542	—	2	1	no	—
904	#542	C₂²×C₄₁	1	1	yes	characteristic
905	#542	C₂²×C₄₁	1	1	yes	characteristic
906	#541	C₂²×C₄₁	1	1	yes	characteristic
907	#540	C₂²×C₄₁	1	1	yes	characteristic
908	#539	—	2	1	no	—
909	#539	—	2	1	no	—
910	#538	—	2	1	no	—
911	#538	—	2	1	no	—
912	#535	C₂²×C₄₁	1	1	yes	characteristic
913	#535	C₂²×C₄₁	1	1	yes	characteristic
914	#533	C₂²×C₄₁	1	1	yes	characteristic
915	#532	C₂²×C₄₁	1	1	yes	characteristic
916	#529	C₂²×C₄₁	1	1	yes	characteristic
917	#529	C₂²×C₄₁	1	1	yes	characteristic
918	#525	—	2	1	no	—
919	#525	—	2	1	no	—
920	#520	C₂²×C₄₁	1	1	yes	characteristic
921	#520	C₂²×C₄₁	1	1	yes	characteristic
922	C₂×C₄×D₄	C₂²×C₄₁	1	1	yes	characteristic
923	#497	C₂²×C₄₁	1	1	yes	characteristic
924	#497	C₂²×C₄₁	1	1	yes	characteristic, complemented
925	#496	C₂²×C₄₁	1	1	yes	characteristic
926	#496	C₂²×C₄₁	1	1	yes	characteristic
927	#496	C₂²×C₄₁	1	1	yes	characteristic
928	#496	C₂²×C₄₁	1	1	yes	characteristic, complemented
929	#495	C₂²×C₄₁	1	1	yes	characteristic
930	#495	C₂²×C₄₁	1	1	yes	characteristic
931	#495	C₂²×C₄₁	1	1	yes	characteristic, complemented
932	#495	C₂²×C₄₁	1	1	yes	characteristic, complemented
933	#493	C₂²×C₄₁	1	1	yes	characteristic
934	#492	C₂²×C₄₁	1	1	yes	characteristic
935	#491	C₂²×C₄₁	1	1	yes	characteristic, complemented
936	#490	C₂²×C₄₁	1	1	yes	characteristic
937	#490	C₂²×C₄₁	1	1	yes	characteristic
938	#490	C₂²×C₄₁	1	1	yes	characteristic, complemented
939	#489	C₂²×C₄₁	1	1	yes	characteristic
940	#489	C₂²×C₄₁	1	1	yes	characteristic
941	#488	C₂²×C₄₁	1	1	yes	characteristic
942	#488	C₂²×C₄₁	1	1	yes	characteristic
943	#488	C₂²×C₄₁	1	1	yes	characteristic, complemented
944	#488	C₂²×C₄₁	1	1	yes	characteristic, complemented
945	#486	C₂²×C₄₁	1	1	yes	characteristic
946	#486	C₂²×C₄₁	1	1	yes	characteristic
947	#484	C₂²×C₄₁	1	1	yes	characteristic
948	#483	C₂²×C₄₁	1	1	yes	characteristic
949	#481	C₂²×C₄₁	1	1	yes	characteristic
950	#480	C₂²×C₄₁	1	1	yes	characteristic
951	#479	C₂²×C₄₁	1	1	yes	characteristic, complemented
952	#479	C₂²×C₄₁	1	1	yes	characteristic, complemented
953	#478	C₂²×C₄₁	1	1	yes	characteristic
954	#478	C₂²×C₄₁	1	1	yes	characteristic
955	#478	C₂²×C₄₁	1	1	yes	characteristic
956	#478	C₂²×C₄₁	1	1	yes	characteristic
957	#478	C₂²×C₄₁	1	1	yes	characteristic, complemented
958	#478	C₂²×C₄₁	1	1	yes	characteristic, complemented
959	#477	C₂²×C₄₁	1	1	yes	characteristic, complemented
960	#476	C₂²×C₄₁	1	1	yes	characteristic, complemented
961	#475	C₂²×C₄₁	1	1	yes	characteristic, complemented
962	#474	C₂²×C₄₁	1	1	yes	characteristic, complemented
963	#464	C₂²×C₄₁	1	1	yes	characteristic
964	#464	C₂²×C₄₁	1	1	yes	characteristic
965	#464	C₂²×C₄₁	1	1	yes	characteristic
966	#464	C₂²×C₄₁	1	1	yes	characteristic
967	#464	C₂²×C₄₁	1	1	yes	characteristic, complemented
968	#464	C₂²×C₄₁	1	1	yes	characteristic, complemented
969	#464	C₂²×C₄₁	1	1	yes	characteristic, complemented
970	#464	C₂²×C₄₁	1	1	yes	characteristic, complemented
971	#463	C₂²×C₄₁	1	1	yes	characteristic
972	#463	C₂²×C₄₁	1	1	yes	characteristic
973	#463	C₂²×C₄₁	1	1	yes	characteristic
974	#463	C₂²×C₄₁	1	1	yes	characteristic
975	#463	C₂²×C₄₁	1	1	yes	characteristic
976	#463	C₂²×C₄₁	1	1	yes	characteristic
977	#463	C₂²×C₄₁	1	1	yes	characteristic
978	#463	C₂²×C₄₁	1	1	yes	characteristic
979	#463	C₂²×C₄₁	1	1	yes	characteristic, complemented
980	#463	C₂²×C₄₁	1	1	yes	characteristic, complemented
981	#463	C₂²×C₄₁	1	1	yes	characteristic, complemented
982	#463	C₂²×C₄₁	1	1	yes	characteristic, complemented
983	#462	C₂²×C₄₁	1	1	yes	characteristic, complemented
984	#462	C₂²×C₄₁	1	1	yes	characteristic, complemented
985	#461	C₂²×C₄₁	1	1	yes	characteristic, complemented
986	#461	C₂²×C₄₁	1	1	yes	characteristic, complemented
987	#460	C₂²×C₄₁	1	1	yes	characteristic
988	#460	C₂²×C₄₁	1	1	yes	characteristic
989	#460	C₂²×C₄₁	1	1	yes	characteristic
990	#460	C₂²×C₄₁	1	1	yes	characteristic
991	#460	C₂²×C₄₁	1	1	yes	characteristic, complemented
992	#460	C₂²×C₄₁	1	1	yes	characteristic, complemented
993	#459	C₂²×C₄₁	1	1	yes	characteristic
994	#459	C₂²×C₄₁	1	1	yes	characteristic
995	#459	C₂²×C₄₁	1	1	yes	characteristic
996	#459	C₂²×C₄₁	1	1	yes	characteristic
997	#459	C₂²×C₄₁	1	1	yes	characteristic, complemented
998	#459	C₂²×C₄₁	1	1	yes	characteristic, complemented
999	#452	C₂²×C₄₁	1	1	yes	characteristic
1000	#452	C₂²×C₄₁	1	1	yes	characteristic
1001	#452	C₂²×C₄₁	1	1	yes	characteristic
1002	#452	C₂²×C₄₁	1	1	yes	characteristic
1003	#450	C₂²×C₄₁	1	1	yes	characteristic
1004	#450	C₂²×C₄₁	1	1	yes	characteristic
1005	#449	C₂²×C₄₁	1	1	yes	characteristic
1006	#449	C₂²×C₄₁	1	1	yes	characteristic
1007	#449	C₂²×C₄₁	1	1	yes	characteristic
1008	#449	C₂²×C₄₁	1	1	yes	characteristic
1009	#447	C₂²×C₄₁	1	1	yes	characteristic
1010	#447	C₂²×C₄₁	1	1	yes	characteristic
1011	#446	C₂²×C₄₁	1	1	yes	characteristic, complemented
1012	#446	C₂²×C₄₁	1	1	yes	characteristic, complemented
1013	#446	C₂²×C₄₁	1	1	yes	characteristic, complemented
1014	#446	C₂²×C₄₁	1	1	yes	characteristic, complemented
1015	#446	C₂²×C₄₁	1	1	yes	characteristic, complemented
1016	#446	C₂²×C₄₁	1	1	yes	characteristic, complemented
1017	C₈×Q₈	C₂²×C₄₁	1	1	yes	characteristic, complemented
1018	C₈×Q₈	C₂²×C₄₁	1	1	yes	characteristic, complemented
1019	#442	C₂²×C₄₁	1	1	yes	characteristic
1020	#442	C₂²×C₄₁	1	1	yes	characteristic
1021	#442	C₂²×C₄₁	1	1	yes	characteristic, complemented
1022	#442	C₂²×C₄₁	1	1	yes	characteristic, complemented
1023	#441	C₂²×C₄₁	1	1	yes	characteristic, complemented
1024	#441	C₂²×C₄₁	1	1	yes	characteristic, complemented
1025	#440	C₂²×C₄₁	1	1	yes	characteristic
1026	#440	C₂²×C₄₁	1	1	yes	characteristic
1027	#440	C₂²×C₄₁	1	1	yes	characteristic, complemented
1028	#440	C₂²×C₄₁	1	1	yes	characteristic, complemented
1029	#440	C₂²×C₄₁	1	1	yes	characteristic, complemented
1030	#440	C₂²×C₄₁	1	1	yes	characteristic, complemented
1031	C₄×Q₁₆	C₂²×C₄₁	1	1	yes	characteristic, complemented
1032	C₄×Q₁₆	C₂²×C₄₁	1	1	yes	characteristic, complemented
1033	C₄×SD₁₆	C₂²×C₄₁	1	1	yes	characteristic
1034	C₄×SD₁₆	C₂²×C₄₁	1	1	yes	characteristic
1035	C₄×SD₁₆	C₂²×C₄₁	1	1	yes	characteristic, complemented
1036	C₄×SD₁₆	C₂²×C₄₁	1	1	yes	characteristic, complemented
1037	C₄×SD₁₆	C₂²×C₄₁	1	1	yes	characteristic, complemented
1038	C₄×SD₁₆	C₂²×C₄₁	1	1	yes	characteristic, complemented
1039	C₄×D₈	C₂²×C₄₁	1	1	yes	characteristic
1040	C₄×D₈	C₂²×C₄₁	1	1	yes	characteristic
1041	C₄×D₈	C₂²×C₄₁	1	1	yes	characteristic, complemented
1042	C₄×D₈	C₂²×C₄₁	1	1	yes	characteristic, complemented
1043	#433	C₂²×C₄₁	1	1	yes	characteristic
1044	#433	C₂²×C₄₁	1	1	yes	characteristic
1045	#433	C₂²×C₄₁	1	1	yes	characteristic
1046	#433	C₂²×C₄₁	1	1	yes	characteristic
1047	#432	C₂²×C₄₁	1	1	yes	characteristic
1048	#431	C₂²×C₄₁	1	1	yes	characteristic
1049	C₄₁	#61919	1	1	yes	characteristic, direct product factor, Sylow
1050	C₂×#41	—	2	1	no	—
1051	C₂×#41	—	2	1	no	—
1052	C₂×#41	C₂³×C₄₁	1	1	yes	characteristic
1053	C₂×#41	C₂³×C₄₁	1	1	yes	characteristic
1054	C₂²×D₄	C₂³×C₄₁	1	1	yes	characteristic
1055	C₂³×C₄	—	2	1	no	—
1056	C₂×Q₁₆	C₂³×C₄₁	1	1	yes	characteristic
1057	C₂×Q₁₆	C₂³×C₄₁	1	1	yes	characteristic
1058	C₂×Q₁₆	C₂³×C₄₁	1	1	yes	characteristic
1059	C₂×Q₁₆	C₂³×C₄₁	1	1	yes	characteristic
1060	C₂×SD₁₆	C₂³×C₄₁	1	1	yes	characteristic
1061	C₂×SD₁₆	C₂³×C₄₁	1	1	yes	characteristic
1062	C₂×SD₁₆	C₂³×C₄₁	1	1	yes	characteristic
1063	C₂×SD₁₆	C₂³×C₄₁	1	1	yes	characteristic
1064	C₂×SD₁₆	C₂³×C₄₁	1	1	yes	characteristic
1065	C₂×SD₁₆	C₂³×C₄₁	1	1	yes	characteristic
1066	C₂×SD₁₆	C₂³×C₄₁	1	1	yes	characteristic
1067	C₂×SD₁₆	C₂³×C₄₁	1	1	yes	characteristic
1068	C₂×SD₁₆	C₂³×C₄₁	1	1	yes	characteristic
1069	C₂×SD₁₆	C₂³×C₄₁	1	1	yes	characteristic
1070	C₂×SD₁₆	C₂³×C₄₁	1	1	yes	characteristic
1071	C₂×SD₁₆	C₂³×C₄₁	1	1	yes	characteristic
1072	C₂×D₈	C₂³×C₄₁	1	1	yes	characteristic
1073	C₂×D₈	C₂³×C₄₁	1	1	yes	characteristic
1074	C₂×D₈	C₂³×C₄₁	1	1	yes	characteristic
1075	C₂×D₈	C₂³×C₄₁	1	1	yes	characteristic
1076	C₂×D₈	C₂³×C₄₁	1	1	yes	characteristic
1077	C₂×D₈	C₂³×C₄₁	1	1	yes	characteristic
1078	C₂×D₈	C₂³×C₄₁	1	1	yes	characteristic
1079	C₂×D₈	C₂³×C₄₁	1	1	yes	characteristic
1080	C₄⋊Q₈	—	2	1	no	—
1081	C₄⋊Q₈	—	2	1	no	—
1082	C₄⋊Q₈	D₄×C₄₁	1	1	yes	characteristic
1083	C₄⋊Q₈	D₄×C₄₁	1	1	yes	characteristic
1084	C₄⋊Q₈	C₂³×C₄₁	1	1	yes	characteristic
1085	C₄⋊Q₈	C₂³×C₄₁	1	1	yes	characteristic
1086	C₄⋊Q₈	C₂³×C₄₁	1	1	yes	characteristic
1087	C₄⋊Q₈	C₂³×C₄₁	1	1	yes	characteristic
1088	#127	C₂³×C₄₁	1	1	yes	characteristic
1089	#127	C₂³×C₄₁	1	1	yes	characteristic
1090	#127	C₂³×C₄₁	1	1	yes	characteristic
1091	#127	C₂³×C₄₁	1	1	yes	characteristic
1092	#127	C₂³×C₄₁	1	1	yes	characteristic
1093	#127	C₂³×C₄₁	1	1	yes	characteristic
1094	#126	—	2	1	no	—
1095	#126	—	2	1	no	—
1096	#126	—	2	1	no	—
1097	#126	—	2	1	no	—
1098	#126	—	2	1	no	—
1099	#126	—	2	1	no	—
1100	#126	—	2	1	no	—
1101	#126	—	2	1	no	—
1102	#126	—	2	1	no	—
1103	#126	—	2	1	no	—
1104	#126	—	2	1	no	—
1105	#126	—	2	1	no	—
1106	#126	—	2	1	no	—
1107	#126	—	2	1	no	—
1108	#125	—	2	1	no	—
1109	#125	—	2	1	no	—
1110	#125	—	2	1	no	—
1111	#125	—	2	1	no	—
1112	#125	—	2	1	no	—
1113	#125	—	2	1	no	—
1114	#125	D₄×C₄₁	1	1	yes	characteristic
1115	#125	D₄×C₄₁	1	1	yes	characteristic
1116	#125	C₂³×C₄₁	1	1	yes	characteristic
1117	#125	C₂³×C₄₁	1	1	yes	characteristic
1118	#125	C₂³×C₄₁	1	1	yes	characteristic
1119	#125	C₂³×C₄₁	1	1	yes	characteristic
1120	#124	—	2	1	no	—
1121	#124	—	2	1	no	—
1122	#124	—	2	1	no	—
1123	#124	—	2	1	no	—
1124	#124	—	2	1	no	—
1125	#124	—	2	1	no	—
1126	#124	—	2	1	no	—
1127	#124	—	2	1	no	—
1128	#124	C₂³×C₄₁	1	1	yes	characteristic
1129	#124	C₂³×C₄₁	1	1	yes	characteristic
1130	#124	C₂³×C₄₁	1	1	yes	characteristic
1131	#124	C₂³×C₄₁	1	1	yes	characteristic
1132	#124	C₂³×C₄₁	1	1	yes	characteristic
1133	#124	C₂³×C₄₁	1	1	yes	characteristic
1134	#124	C₂³×C₄₁	1	1	yes	characteristic
1135	#124	C₂³×C₄₁	1	1	yes	characteristic
1136	#124	C₂³×C₄₁	1	1	yes	characteristic
1137	#124	C₂³×C₄₁	1	1	yes	characteristic
1138	#123	—	2	1	no	—
1139	#123	—	2	1	no	—
1140	#123	—	2	1	no	—
1141	#123	—	2	1	no	—
1142	#123	—	2	1	no	—
1143	#123	—	2	1	no	—
1144	#123	—	2	1	no	—
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	C₂²⋊Q₈	—	2	1	no	—
1157	C₂²⋊Q₈	—	2	1	no	—
1158	C₂²⋊Q₈	—	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	—	2	1	no	—
1167	C₂²⋊Q₈	—	2	1	no	—
1168	C₂²⋊Q₈	D₄×C₄₁	1	1	yes	characteristic
1169	C₂²⋊Q₈	D₄×C₄₁	1	1	yes	characteristic
1170	C₂²⋊Q₈	D₄×C₄₁	1	1	yes	characteristic
1171	C₂²⋊Q₈	D₄×C₄₁	1	1	yes	characteristic
1172	C₂²⋊Q₈	C₂³×C₄₁	1	1	yes	characteristic
1173	C₂²⋊Q₈	C₂³×C₄₁	1	1	yes	characteristic
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	—	2	1	no	—
1184	#121	—	2	1	no	—
1185	#121	—	2	1	no	—
1186	#121	—	2	1	no	—
1187	#121	—	2	1	no	—
1188	#121	C₂³×C₄₁	1	1	yes	characteristic
1189	#121	C₂³×C₄₁	1	1	yes	characteristic
1190	#120	—	2	1	no	—
1191	#120	—	2	1	no	—
1192	#120	—	2	1	no	—
1193	#120	—	2	1	no	—
1194	C₄×Q₈	—	2	1	no	—
1195	C₄×Q₈	—	2	1	no	—
1196	C₄×Q₈	C₂³×C₄₁	1	1	yes	characteristic
1197	C₄×Q₈	C₂³×C₄₁	1	1	yes	characteristic
1198	C₄×Q₈	C₂³×C₄₁	1	1	yes	characteristic
1199	C₄×Q₈	C₂³×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×Q₈	C₂³×C₄₁	1	1	yes	characteristic
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	C₂³×C₄₁	1	1	yes	characteristic
1227	C₄×D₄	C₂³×C₄₁	1	1	yes	characteristic
1228	C₄×D₄	C₂³×C₄₁	1	1	yes	characteristic
1229	C₄×D₄	C₂³×C₄₁	1	1	yes	characteristic
1230	C₄×D₄	C₂³×C₄₁	1	1	yes	characteristic
1231	C₄×D₄	C₂³×C₄₁	1	1	yes	characteristic
1232	C₄×D₄	C₂³×C₄₁	1	1	yes	characteristic
1233	C₄×D₄	C₂³×C₄₁	1	1	yes	characteristic
1234	C₄×D₄	C₂³×C₄₁	1	1	yes	characteristic
1235	C₄×D₄	C₂³×C₄₁	1	1	yes	characteristic
1236	C₄×D₄	C₂³×C₄₁	1	1	yes	characteristic
1237	C₄×D₄	C₂³×C₄₁	1	1	yes	characteristic
1238	C₄×D₄	C₂³×C₄₁	1	1	yes	characteristic
1239	C₄×D₄	C₂³×C₄₁	1	1	yes	characteristic
1240	#117	—	2	1	no	—
1241	#117	—	2	1	no	—
1242	#117	—	2	1	no	—
1243	#117	—	2	1	no	—
1244	#117	—	2	1	no	—
1245	#117	—	2	1	no	—
1246	#117	—	2	1	no	—
1247	#117	—	2	1	no	—
1248	#117	C₂³×C₄₁	1	1	yes	characteristic
1249	#117	C₂³×C₄₁	1	1	yes	characteristic
1250	C₂×C₄⋊C₄	—	2	1	no	—
1251	C₂×C₄⋊C₄	—	2	1	no	—
1252	C₂×C₄⋊C₄	—	2	1	no	—
1253	C₂×C₄⋊C₄	—	2	1	no	—
1254	C₂×C₄⋊C₄	C₂³×C₄₁	1	1	yes	characteristic
1255	C₂×C₂²⋊C₄	—	2	1	no	—
1256	C₂×C₄²	C₂³×C₄₁	1	1	yes	characteristic
1257	#107	C₂³×C₄₁	1	1	yes	characteristic
1258	#107	C₂³×C₄₁	1	1	yes	characteristic
1259	#107	C₂³×C₄₁	1	1	yes	characteristic
1260	#107	C₂³×C₄₁	1	1	yes	characteristic
1261	#106	C₂³×C₄₁	1	1	yes	characteristic
1262	#106	C₂³×C₄₁	1	1	yes	characteristic
1263	#106	C₂³×C₄₁	1	1	yes	characteristic
1264	#106	C₂³×C₄₁	1	1	yes	characteristic
1265	C₄⋊C₈	C₂³×C₄₁	1	1	yes	characteristic
1266	C₄⋊C₈	C₂³×C₄₁	1	1	yes	characteristic
1267	C₄⋊C₈	C₂³×C₄₁	1	1	yes	characteristic
1268	C₄⋊C₈	C₂³×C₄₁	1	1	yes	characteristic
1269	C₄⋊C₈	C₂³×C₄₁	1	1	yes	characteristic
1270	C₄⋊C₈	C₂³×C₄₁	1	1	yes	characteristic
1271	C₄⋊C₈	C₂³×C₄₁	1	1	yes	characteristic
1272	C₄⋊C₈	C₂³×C₄₁	1	1	yes	characteristic
1273	C₄⋊C₈	C₂³×C₄₁	1	1	yes	characteristic
1274	C₄⋊C₈	C₂³×C₄₁	1	1	yes	characteristic
1275	C₄⋊C₈	C₂³×C₄₁	1	1	yes	characteristic
1276	C₄⋊C₈	C₂³×C₄₁	1	1	yes	characteristic
1277	#103	C₂³×C₄₁	1	1	yes	characteristic
1278	#103	C₂³×C₄₁	1	1	yes	characteristic
1279	#103	C₂³×C₄₁	1	1	yes	characteristic
1280	#103	C₂³×C₄₁	1	1	yes	characteristic
1281	#103	C₂³×C₄₁	1	1	yes	characteristic
1282	#103	C₂³×C₄₁	1	1	yes	characteristic
1283	#103	C₂³×C₄₁	1	1	yes	characteristic
1284	#103	C₂³×C₄₁	1	1	yes	characteristic
1285	#103	C₂³×C₄₁	1	1	yes	characteristic
1286	#103	C₂³×C₄₁	1	1	yes	characteristic
1287	#103	C₂³×C₄₁	1	1	yes	characteristic
1288	#103	C₂³×C₄₁	1	1	yes	characteristic
1289	#102	C₂³×C₄₁	1	1	yes	characteristic
1290	#102	C₂³×C₄₁	1	1	yes	characteristic
1291	#102	C₂³×C₄₁	1	1	yes	characteristic
1292	#102	C₂³×C₄₁	1	1	yes	characteristic
1293	#102	C₂³×C₄₁	1	1	yes	characteristic
1294	#102	C₂³×C₄₁	1	1	yes	characteristic
1295	#102	C₂³×C₄₁	1	1	yes	characteristic
1296	#102	C₂³×C₄₁	1	1	yes	characteristic
1297	#102	C₂³×C₄₁	1	1	yes	characteristic
1298	#102	C₂³×C₄₁	1	1	yes	characteristic
1299	#102	C₂³×C₄₁	1	1	yes	characteristic
1300	#102	C₂³×C₄₁	1	1	yes	characteristic
1301	#102	C₂³×C₄₁	1	1	yes	characteristic
1302	#102	C₂³×C₄₁	1	1	yes	characteristic
1303	#102	C₂³×C₄₁	1	1	yes	characteristic
1304	#102	C₂³×C₄₁	1	1	yes	characteristic
1305	#102	C₂³×C₄₁	1	1	yes	characteristic
1306	#102	C₂³×C₄₁	1	1	yes	characteristic
1307	#102	C₂³×C₄₁	1	1	yes	characteristic
1308	#102	C₂³×C₄₁	1	1	yes	characteristic
1309	C₂²⋊C₈	C₂³×C₄₁	1	1	yes	characteristic
1310	C₂²⋊C₈	C₂³×C₄₁	1	1	yes	characteristic
1311	C₂²⋊C₈	C₂³×C₄₁	1	1	yes	characteristic
1312	C₂²⋊C₈	C₂³×C₄₁	1	1	yes	characteristic
1313	#97	C₂³×C₄₁	1	1	yes	characteristic
1314	#97	C₂³×C₄₁	1	1	yes	characteristic
1315	#97	C₂³×C₄₁	1	1	yes	characteristic
1316	#97	C₂³×C₄₁	1	1	yes	characteristic
1317	#97	C₂³×C₄₁	1	1	yes	characteristic
1318	#97	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	C₂⁴	—	2	1	no	—
1326	#41	—	4	1	no	—
1327	#41	—	4	1	no	—
1328	#41	—	4	1	no	—
1329	#41	—	4	1	no	—
1330	#41	—	8	2	no	—
1331	#41	—	8	2	no	—
1332	C₂×Q₈	—	2	1	no	—
1333	C₂×Q₈	—	2	1	no	—
1334	C₂×Q₈	C₂×D₄×C₄₁	1	1	yes	characteristic
1335	C₂×Q₈	C₂×D₄×C₄₁	1	1	yes	characteristic
1336	C₂×Q₈	C₂×D₄×C₄₁	1	1	yes	characteristic
1337	C₂×Q₈	C₂×D₄×C₄₁	1	1	yes	characteristic
1338	C₂×Q₈	C₂⁴×C₄₁	1	1	yes	characteristic
1339	C₂×Q₈	C₂⁴×C₄₁	1	1	yes	characteristic
1340	C₂×Q₈	C₂⁴×C₄₁	1	1	yes	characteristic
1341	C₂×Q₈	C₂⁴×C₄₁	1	1	yes	characteristic
1342	C₂×D₄	—	2	1	no	—
1343	C₂×D₄	—	2	1	no	—
1344	C₂×D₄	—	2	1	no	—
1345	C₂×D₄	—	2	1	no	—
1346	C₂×D₄	—	2	1	no	—
1347	C₂×D₄	—	2	1	no	—
1348	C₂×D₄	—	2	1	no	—
1349	C₂×D₄	—	2	1	no	—
1350	C₂×D₄	—	2	1	no	—
1351	C₂×D₄	—	2	1	no	—
1352	C₂×D₄	—	2	1	no	—
1353	C₂×D₄	—	2	1	no	—
1354	C₂×D₄	—	2	1	no	—
1355	C₂×D₄	—	2	1	no	—
1356	C₂×D₄	—	2	1	no	—
1357	C₂×D₄	—	2	1	no	—
1358	C₂×D₄	—	2	1	no	—
1359	C₂×D₄	—	4	1	no	—
1360	C₂×D₄	—	4	1	no	—
1361	C₂×D₄	C₂⁴×C₄₁	1	1	yes	characteristic
1362	C₂×D₄	C₂⁴×C₄₁	1	1	yes	characteristic
1363	C₂×D₄	C₂⁴×C₄₁	1	1	yes	characteristic
1364	C₂×D₄	C₂⁴×C₄₁	1	1	yes	characteristic
1365	C₂×D₄	C₂⁴×C₄₁	1	1	yes	characteristic
1366	C₂×D₄	C₂⁴×C₄₁	1	1	yes	characteristic
1367	C₂²×C₄	—	2	1	no	—
1368	C₂²×C₄	—	2	1	no	—
1369	C₂²×C₄	—	2	1	no	—
1370	C₂²×C₄	—	2	1	no	—
1371	C₂²×C₄	—	2	1	no	—
1372	C₂²×C₄	—	2	1	no	—
1373	C₂²×C₄	—	2	1	no	—
1374	C₂²×C₄	—	2	1	no	—
1375	C₂²×C₄	—	2	1	no	—
1376	C₂²×C₄	—	2	1	no	—
1377	C₂²×C₄	—	2	1	no	—
1378	C₂²×C₄	—	2	1	no	—
1379	C₂²×C₄	—	2	1	no	—
1380	C₂²×C₄	—	2	1	no	—
1381	C₂²×C₄	—	2	1	no	—
1382	C₂²×C₄	—	2	1	no	—
1383	C₂²×C₄	—	2	1	no	—
1384	C₂²×C₄	—	8	2	no	—
1385	C₂²×C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1386	C₂²×C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1387	C₂²×C₄	C₂⁴×C₄₁	1	1	yes	characteristic
1388	Q₁₆	—	4	1	no	—
1389	Q₁₆	—	4	1	no	—
1390	Q₁₆	—	4	1	no	—
1391	Q₁₆	—	4	1	no	—
1392	SD₁₆	—	4	1	no	—
1393	SD₁₆	—	4	1	no	—
1394	SD₁₆	—	4	1	no	—
1395	SD₁₆	—	4	1	no	—
1396	SD₁₆	—	4	1	no	—
1397	SD₁₆	—	4	1	no	—
1398	SD₁₆	—	4	1	no	—
1399	SD₁₆	—	4	1	no	—
1400	SD₁₆	—	4	1	no	—
1401	SD₁₆	—	4	1	no	—
1402	SD₁₆	—	4	1	no	—
1403	SD₁₆	—	4	1	no	—
1404	D₈	—	4	1	no	—
1405	D₈	—	4	1	no	—
1406	D₈	—	4	1	no	—
1407	D₈	—	4	1	no	—
1408	D₈	—	4	1	no	—
1409	D₈	—	4	1	no	—
1410	D₈	—	4	1	no	—
1411	D₈	—	4	1	no	—
1412	C₂×C₈	C₂⁴×C₄₁	1	1	yes	characteristic
1413	C₂×C₈	C₂⁴×C₄₁	1	1	yes	characteristic
1414	C₂×C₈	C₂⁴×C₄₁	1	1	yes	characteristic
1415	C₂×C₈	C₂⁴×C₄₁	1	1	yes	characteristic
1416	C₂×C₈	C₂⁴×C₄₁	1	1	yes	characteristic
1417	C₂×C₈	C₂⁴×C₄₁	1	1	yes	characteristic
1418	C₂×C₈	C₂⁴×C₄₁	1	1	yes	characteristic
1419	C₂×C₈	C₂⁴×C₄₁	1	1	yes	characteristic
1420	C₄⋊C₄	—	2	1	no	—
1421	C₄⋊C₄	—	2	1	no	—
1422	C₄⋊C₄	—	2	1	no	—
1423	C₄⋊C₄	—	2	1	no	—
1424	C₄⋊C₄	—	2	1	no	—
1425	C₄⋊C₄	—	2	1	no	—
1426	C₄⋊C₄	—	2	1	no	—
1427	C₄⋊C₄	—	2	1	no	—
1428	C₄⋊C₄	—	2	1	no	—
1429	C₄⋊C₄	—	2	1	no	—
1430	C₄⋊C₄	—	2	1	no	—
1431	C₄⋊C₄	—	2	1	no	—
1432	C₄⋊C₄	—	2	1	no	—
1433	C₄⋊C₄	—	2	1	no	—
1434	C₄⋊C₄	—	2	1	no	—
1435	C₄⋊C₄	—	2	1	no	—
1436	C₄⋊C₄	—	2	1	no	—
1437	C₄⋊C₄	—	2	1	no	—
1438	C₄⋊C₄	—	2	1	no	—
1439	C₄⋊C₄	—	2	1	no	—
1440	C₄⋊C₄	—	2	1	no	—
1441	C₄⋊C₄	—	2	1	no	—
1442	C₄⋊C₄	—	2	1	no	—
1443	C₄⋊C₄	—	2	1	no	—
1444	C₄⋊C₄	—	2	1	no	—
1445	C₄⋊C₄	—	2	1	no	—
1446	C₄⋊C₄	—	2	1	no	—
1447	C₄⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1448	C₄⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1449	C₄⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1450	C₄⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1451	C₄⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1452	C₄⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1453	C₄⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1454	C₄⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1455	C₄⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1456	C₄⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1457	C₄⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1458	C₄⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1459	C₄⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1460	C₄⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1461	C₄⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1462	C₄⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1463	C₄⋊C₄	C₂⁴×C₄₁	1	1	yes	characteristic
1464	C₄⋊C₄	C₂⁴×C₄₁	1	1	yes	characteristic
1465	C₄⋊C₄	C₂⁴×C₄₁	1	1	yes	characteristic
1466	C₄⋊C₄	C₂⁴×C₄₁	1	1	yes	characteristic
1467	C₄⋊C₄	C₂⁴×C₄₁	1	1	yes	characteristic
1468	C₄⋊C₄	C₂⁴×C₄₁	1	1	yes	characteristic
1469	C₂²⋊C₄	—	2	1	no	—
1470	C₂²⋊C₄	—	2	1	no	—
1471	C₂²⋊C₄	—	2	1	no	—
1472	C₂²⋊C₄	—	2	1	no	—
1473	C₂²⋊C₄	—	2	1	no	—
1474	C₂²⋊C₄	—	2	1	no	—
1475	C₂²⋊C₄	—	2	1	no	—
1476	C₂²⋊C₄	—	2	1	no	—
1477	C₂²⋊C₄	—	2	1	no	—
1478	C₂²⋊C₄	—	2	1	no	—
1479	C₂²⋊C₄	—	2	1	no	—
1480	C₂²⋊C₄	—	2	1	no	—
1481	C₂²⋊C₄	—	2	1	no	—
1482	C₂²⋊C₄	—	2	1	no	—
1483	C₂²⋊C₄	—	2	1	no	—
1484	C₂²⋊C₄	—	2	1	no	—
1485	C₂²⋊C₄	—	2	1	no	—
1486	C₂²⋊C₄	—	2	1	no	—
1487	C₂²⋊C₄	—	2	1	no	—
1488	C₂²⋊C₄	—	2	1	no	—
1489	C₂²⋊C₄	—	2	1	no	—
1490	C₂²⋊C₄	—	2	1	no	—
1491	C₂²⋊C₄	—	2	1	no	—
1492	C₂²⋊C₄	—	2	1	no	—
1493	C₂²⋊C₄	—	2	1	no	—
1494	C₂²⋊C₄	—	2	1	no	—
1495	C₂²⋊C₄	—	2	1	no	—
1496	C₂²⋊C₄	—	2	1	no	—
1497	C₂²⋊C₄	—	2	1	no	—
1498	C₂²⋊C₄	—	2	1	no	—
1499	C₂²⋊C₄	—	2	1	no	—
1500	C₂²⋊C₄	—	2	1	no	—
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	C₂×D₄×C₄₁	1	1	yes	characteristic
1508	C₂²⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1509	C₂²⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1510	C₂²⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1511	C₄²	—	2	1	no	—
1512	C₄²	—	2	1	no	—
1513	C₄²	—	2	1	no	—
1514	C₄²	—	2	1	no	—
1515	C₄²	—	2	1	no	—
1516	C₄²	—	2	1	no	—
1517	C₄²	—	2	1	no	—
1518	C₄²	—	2	1	no	—
1519	C₄²	—	2	1	no	—
1520	C₄²	—	2	1	no	—
1521	C₄²	C₂×D₄×C₄₁	1	1	yes	characteristic
1522	C₄²	C₂×D₄×C₄₁	1	1	yes	characteristic
1523	C₄²	C₂⁴×C₄₁	1	1	yes	characteristic
1524	C₄²	C₂⁴×C₄₁	1	1	yes	characteristic
1525	C₄²	C₂⁴×C₄₁	1	1	yes	characteristic
1526	C₄²	C₂⁴×C₄₁	1	1	yes	characteristic
1527	C₄²	C₂⁴×C₄₁	1	1	yes	characteristic
1528	C₄²	C₂⁴×C₄₁	1	1	yes	characteristic
1529	C₂³	—	2	1	no	—
1530	C₂³	—	2	1	no	—
1531	C₂³	—	2	1	no	—
1532	C₂³	—	2	1	no	—
1533	C₂³	—	2	1	no	—
1534	C₂³	—	2	1	no	—
1535	C₂³	—	4	2	no	—
1536	C₂³	—	8	1	no	—
1537	C₂³	—	8	1	no	—
1538	C₂³	C₂²×D₄×C₄₁	1	1	yes	characteristic
1539	Q₈	—	2	1	no	—
1540	Q₈	—	2	1	no	—
1541	Q₈	—	2	1	no	—
1542	Q₈	—	2	1	no	—
1543	Q₈	—	2	1	no	—
1544	Q₈	—	2	1	no	—
1545	Q₈	—	2	1	no	—
1546	Q₈	—	2	1	no	—
1547	Q₈	—	4	1	no	—
1548	Q₈	—	4	1	no	—
1549	Q₈	—	4	1	no	—
1550	Q₈	—	4	1	no	—
1551	Q₈	—	8	1	no	—
1552	Q₈	—	8	1	no	—
1553	D₄	—	2	1	no	—
1554	D₄	—	2	1	no	—
1555	D₄	—	2	1	no	—
1556	D₄	—	2	1	no	—
1557	D₄	—	2	1	no	—
1558	D₄	—	2	1	no	—
1559	D₄	—	2	1	no	—
1560	D₄	—	2	1	no	—
1561	D₄	—	2	1	no	—
1562	D₄	—	2	1	no	—
1563	D₄	—	2	1	no	—
1564	D₄	—	2	1	no	—
1565	D₄	—	4	2	no	—
1566	D₄	—	4	2	no	—
1567	D₄	—	4	2	no	—
1568	D₄	—	4	2	no	—
1569	D₄	—	8	1	no	—
1570	D₄	—	8	1	no	—
1571	D₄	—	8	1	no	—
1572	D₄	—	8	1	no	—
1573	D₄	—	8	1	no	—
1574	D₄	—	8	1	no	—
1575	D₄	—	8	1	no	—
1576	D₄	—	8	1	no	—
1577	D₄	—	8	1	no	—
1578	D₄	—	8	1	no	—
1579	D₄	—	8	1	no	—
1580	D₄	—	8	1	no	—
1581	D₄	—	8	1	no	—
1582	C₂×C₄	—	2	1	no	—
1583	C₂×C₄	—	2	1	no	—
1584	C₂×C₄	—	2	1	no	—
1585	C₂×C₄	—	2	1	no	—
1586	C₂×C₄	—	2	1	no	—
1587	C₂×C₄	—	2	1	no	—
1588	C₂×C₄	—	2	1	no	—
1589	C₂×C₄	—	2	1	no	—
1590	C₂×C₄	—	2	1	no	—
1591	C₂×C₄	—	2	1	no	—
1592	C₂×C₄	—	2	1	no	—
1593	C₂×C₄	—	2	1	no	—
1594	C₂×C₄	—	4	1	no	—
1595	C₂×C₄	—	4	1	no	—
1596	C₂×C₄	—	4	2	no	—
1597	C₂×C₄	—	4	2	no	—
1598	C₂×C₄	—	4	2	no	—
1599	C₂×C₄	—	4	2	no	—
1600	C₂×C₄	—	8	1	no	—
1601	C₂×C₄	—	8	1	no	—
1602	C₂×C₄	—	8	1	no	—
1603	C₂×C₄	—	8	1	no	—
1604	C₂×C₄	—	8	1	no	—
1605	C₂×C₄	—	8	1	no	—
1606	C₂×C₄	—	8	1	no	—
1607	C₂×C₄	—	8	1	no	—
1608	C₂×C₄	—	8	1	no	—
1609	C₂×C₄	—	8	1	no	—
1610	C₂×C₄	—	8	1	no	—
1611	C₂×C₄	—	8	1	no	—
1612	C₂×C₄	—	8	1	no	—
1613	C₂×C₄	C₂²×D₄×C₄₁	1	1	yes	characteristic
1614	C₂×C₄	C₂²×D₄×C₄₁	1	1	yes	characteristic
1615	C₂×C₄	C₂²×D₄×C₄₁	1	1	yes	characteristic
1616	C₂×C₄	C₂²×D₄×C₄₁	1	1	yes	characteristic
1617	C₂×C₄	C₂²×D₄×C₄₁	1	1	yes	characteristic
1618	C₂×C₄	C₂²×D₄×C₄₁	1	1	yes	characteristic
1619	C₂×C₄	C₂²×D₄×C₄₁	1	1	yes	characteristic
1620	C₂×C₄	C₂²×D₄×C₄₁	1	1	yes	characteristic
1621	C₂×C₄	C₂²×D₄×C₄₁	1	1	yes	characteristic
1622	C₂×C₄	C₂²×D₄×C₄₁	1	1	yes	characteristic
1623	C₂×C₄	C₂²×D₄×C₄₁	1	1	yes	characteristic
1624	C₂×C₄	C₂²×D₄×C₄₁	1	1	yes	characteristic
1625	C₂×C₄	C₂²×D₄×C₄₁	1	1	yes	characteristic
1626	C₂×C₄	C₂⁵×C₄₁	1	1	yes	characteristic
1627	C₈	—	2	1	no	—
1628	C₈	—	2	1	no	—
1629	C₈	—	2	1	no	—
1630	C₈	—	2	1	no	—
1631	C₈	—	2	1	no	—
1632	C₈	—	2	1	no	—
1633	C₈	—	2	1	no	—
1634	C₈	—	2	1	no	—
1635	C₂²	—	2	1	no	—
1636	C₂²	—	2	1	no	—
1637	C₂²	—	2	1	no	—
1638	C₂²	—	4	1	no	—
1639	C₂²	—	4	1	no	—
1640	C₂²	—	4	1	no	—
1641	C₂²	—	4	1	no	—
1642	C₂²	—	4	1	no	—
1643	C₂²	—	4	1	no	—
1644	C₂²	—	4	1	no	—
1645	C₂²	—	4	1	no	—
1646	C₂²	—	4	1	no	—
1647	C₂²	—	4	1	no	—
1648	C₂²	—	4	1	no	—
1649	C₂²	—	4	1	no	—
1650	C₂²	—	4	1	no	—
1651	C₂²	—	4	1	no	—
1652	C₂²	—	4	1	no	—
1653	C₂²	—	4	1	no	—
1654	C₂²	—	4	1	no	—
1655	C₂²	—	4	1	no	—
1656	C₂²	—	8	4	no	—
1657	C₂²	C₂³×D₄×C₄₁	1	1	yes	characteristic
1658	C₄	—	2	1	no	—
1659	C₄	—	2	1	no	—
1660	C₄	—	2	1	no	—
1661	C₄	—	2	1	no	—
1662	C₄	—	2	1	no	—
1663	C₄	—	2	1	no	—
1664	C₄	—	2	1	no	—
1665	C₄	—	2	1	no	—
1666	C₄	—	2	1	no	—
1667	C₄	—	2	1	no	—
1668	C₄	—	2	1	no	—
1669	C₄	—	2	1	no	—
1670	C₄	—	2	1	no	—
1671	C₄	—	4	1	no	—
1672	C₄	—	4	1	no	—
1673	C₄	—	4	1	no	—
1674	C₄	—	4	1	no	—
1675	C₄	—	4	1	no	—
1676	C₄	—	4	1	no	—
1677	C₄	—	4	1	no	—
1678	C₄	—	4	1	no	—
1679	C₄	—	4	1	no	—
1680	C₄	—	4	1	no	—
1681	C₄	C₄₁×#585	1	1	yes	characteristic
1682	C₄	C₄₁×#585	1	1	yes	characteristic
1683	C₂	—	4	1	no	—
1684	C₂	—	8	1	no	—
1685	C₂	—	8	1	no	—
1686	C₂	—	8	1	no	—
1687	C₂	—	8	1	no	—
1688	C₂	—	8	1	no	—
1689	C₂	—	8	1	no	—
1690	C₂	C₄₁×#3487	1	1	yes	characteristic
1691	C₂	C₄₁×#3584	1	1	yes	characteristic
1692	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 ◁ C₄₁×#533 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₄₁×#3557	C₂	semidirect
2. C₄₁×#3506	C₂	semidirect
3. C₄₁×#3403	C₂	semidirect
4. C₄₁×#3402	C₂	semidirect
5. C₄₁×#3401	C₂	semidirect
6. C₄₁×#3401	C₂	semidirect
7. C₄₁×#3399	C₂	semidirect
8. C₄₁×#3397	C₂	semidirect
9. C₄₁×#3396	C₂	semidirect
10. C₄₁×#3394	C₂	semidirect
11. C₄₁×#3377	C₂	semidirect
12. C₄₁×#3376	C₂	semidirect
13. C₄₁×#3371	C₂	semidirect
14. C₄₁×#3370	C₂	semidirect
15. C₄₁×#3368	C₂	semidirect
16. C₄₁×#3366	C₂	semidirect
17. C₄₁×#3365	C₂	semidirect
18. C₄₁×#3361	C₂	semidirect
19. C₄₁×#3224	C₂	semidirect
20. C₄₁×#3224	C₂	semidirect
21. C₄₁×#3222	C₂	semidirect
22. C₄₁×#3220	C₂	semidirect
23. C₄₁×#3219	C₂	semidirect
24. C₄₁×#3212	C₂	semidirect
25. C₄₁×#3125	C₂	semidirect
26. C₄₁×#3124	C₂	semidirect
27. C₄₁×#3120	C₂	semidirect
28. C₄₁×#3119	C₂	semidirect
29. C₄₁×#3114	C₂	semidirect
30. C₄₁×#3105	C₂	semidirect
31. C₄₁×#2985	C₂	semidirect
38. C₄₁×#559	C₂²	semidirect
39. C₄₁×#559	C₂²	semidirect
40. C₄₁×#557	C₂²	semidirect
41. C₄₁×#557	C₂²	semidirect
44. C₄₁×#556	C₂²	semidirect
45. C₄₁×#556	C₂²	semidirect
47. C₄₁×#554	C₂²	semidirect
48. C₄₁×#554	C₂²	semidirect
78. C₄₁×#497	C₂²	semidirect
82. C₄₁×#496	C₂²	semidirect
85. C₄₁×#495	C₂²	semidirect
86. C₄₁×#495	C₂²	semidirect
89. C₄₁×#491	C₂²	semidirect
92. C₄₁×#490	C₂²	semidirect
97. C₄₁×#488	C₂²	semidirect
98. C₄₁×#488	C₂²	semidirect
105. C₄₁×#479	C₂²	semidirect
106. C₄₁×#479	C₂²	semidirect
111. C₄₁×#478	C₂²	semidirect
112. C₄₁×#478	C₂²	semidirect
113. C₄₁×#477	C₂²	semidirect
114. C₄₁×#476	C₂²	semidirect
115. C₄₁×#475	C₂²	semidirect
116. C₄₁×#474	C₂²	semidirect
121. C₄₁×#464	C₂²	semidirect
122. C₄₁×#464	C₂²	semidirect
123. C₄₁×#464	C₂²	semidirect
124. C₄₁×#464	C₂²	semidirect
133. C₄₁×#463	C₂²	semidirect
134. C₄₁×#463	C₂²	semidirect
135. C₄₁×#463	C₂²	semidirect
136. C₄₁×#463	C₂²	semidirect
137. C₄₁×#462	C₂²	semidirect
138. C₄₁×#462	C₂²	semidirect
139. C₄₁×#461	C₂²	semidirect
140. C₄₁×#461	C₂²	semidirect
145. C₄₁×#460	C₂²	semidirect
146. C₄₁×#460	C₂²	semidirect
151. C₄₁×#459	C₂²	semidirect
152. C₄₁×#459	C₂²	semidirect
165. C₄₁×#446	C₂²	semidirect
166. C₄₁×#446	C₂²	semidirect
167. C₄₁×#446	C₂²	semidirect
168. C₄₁×#446	C₂²	semidirect
169. C₄₁×#446	C₂²	semidirect
170. C₄₁×#446	C₂²	semidirect
171. C₈×Q₈×C₄₁	C₂²	semidirect
172. C₈×Q₈×C₄₁	C₂²	semidirect
175. C₄₁×#442	C₂²	semidirect
176. C₄₁×#442	C₂²	semidirect
177. C₄₁×#441	C₂²	semidirect
178. C₄₁×#441	C₂²	semidirect
181. C₄₁×#440	C₂²	semidirect
182. C₄₁×#440	C₂²	semidirect
183. C₄₁×#440	C₂²	semidirect
184. C₄₁×#440	C₂²	semidirect
185. C₄×Q₁₆×C₄₁	C₂²	semidirect
186. C₄×Q₁₆×C₄₁	C₂²	semidirect
189. C₄×SD₁₆×C₄₁	C₂²	semidirect
190. C₄×SD₁₆×C₄₁	C₂²	semidirect
191. C₄×SD₁₆×C₄₁	C₂²	semidirect
192. C₄×SD₁₆×C₄₁	C₂²	semidirect
195. C₄×D₈×C₄₁	C₂²	semidirect
196. C₄×D₈×C₄₁	C₂²	semidirect
788. #61919	C₄₁	direct (N × H)
837. #3557	C₂×C₄₁	semidirect
838. #3506	C₂×C₄₁	semidirect
839. #3403	C₂×C₄₁	semidirect
840. #3402	C₂×C₄₁	semidirect
841. #3401	C₂×C₄₁	semidirect
842. #3401	C₂×C₄₁	semidirect
843. #3399	C₂×C₄₁	semidirect
844. #3397	C₂×C₄₁	semidirect
845. #3396	C₂×C₄₁	semidirect
846. #3394	C₂×C₄₁	semidirect
847. #3377	C₂×C₄₁	semidirect
848. #3376	C₂×C₄₁	semidirect
849. #3371	C₂×C₄₁	semidirect
850. #3370	C₂×C₄₁	semidirect
851. #3368	C₂×C₄₁	semidirect
852. #3366	C₂×C₄₁	semidirect
853. #3365	C₂×C₄₁	semidirect
854. #3361	C₂×C₄₁	semidirect
855. #3224	C₂×C₄₁	semidirect
856. #3224	C₂×C₄₁	semidirect
857. #3222	C₂×C₄₁	semidirect
858. #3220	C₂×C₄₁	semidirect
859. #3219	C₂×C₄₁	semidirect
860. #3212	C₂×C₄₁	semidirect
861. #3125	C₂×C₄₁	semidirect
862. #3124	C₂×C₄₁	semidirect
863. #3120	C₂×C₄₁	semidirect
864. #3119	C₂×C₄₁	semidirect
865. #3114	C₂×C₄₁	semidirect
866. #3105	C₂×C₄₁	semidirect
867. #2985	C₂×C₄₁	semidirect
884. #559	C₂²×C₄₁	semidirect
885. #559	C₂²×C₄₁	semidirect
886. #557	C₂²×C₄₁	semidirect
887. #557	C₂²×C₄₁	semidirect
890. #556	C₂²×C₄₁	semidirect
891. #556	C₂²×C₄₁	semidirect
893. #554	C₂²×C₄₁	semidirect
894. #554	C₂²×C₄₁	semidirect
924. #497	C₂²×C₄₁	semidirect
928. #496	C₂²×C₄₁	semidirect
931. #495	C₂²×C₄₁	semidirect
932. #495	C₂²×C₄₁	semidirect
935. #491	C₂²×C₄₁	semidirect
938. #490	C₂²×C₄₁	semidirect
943. #488	C₂²×C₄₁	semidirect
944. #488	C₂²×C₄₁	semidirect
951. #479	C₂²×C₄₁	semidirect
952. #479	C₂²×C₄₁	semidirect
957. #478	C₂²×C₄₁	semidirect
958. #478	C₂²×C₄₁	semidirect
959. #477	C₂²×C₄₁	semidirect
960. #476	C₂²×C₄₁	semidirect
961. #475	C₂²×C₄₁	semidirect
962. #474	C₂²×C₄₁	semidirect
967. #464	C₂²×C₄₁	semidirect
968. #464	C₂²×C₄₁	semidirect
969. #464	C₂²×C₄₁	semidirect
970. #464	C₂²×C₄₁	semidirect
979. #463	C₂²×C₄₁	semidirect
980. #463	C₂²×C₄₁	semidirect
981. #463	C₂²×C₄₁	semidirect
982. #463	C₂²×C₄₁	semidirect
983. #462	C₂²×C₄₁	semidirect
984. #462	C₂²×C₄₁	semidirect
985. #461	C₂²×C₄₁	semidirect
986. #461	C₂²×C₄₁	semidirect
991. #460	C₂²×C₄₁	semidirect
992. #460	C₂²×C₄₁	semidirect
997. #459	C₂²×C₄₁	semidirect
998. #459	C₂²×C₄₁	semidirect
1011. #446	C₂²×C₄₁	semidirect
1012. #446	C₂²×C₄₁	semidirect
1013. #446	C₂²×C₄₁	semidirect
1014. #446	C₂²×C₄₁	semidirect
1015. #446	C₂²×C₄₁	semidirect
1016. #446	C₂²×C₄₁	semidirect
1017. C₈×Q₈	C₂²×C₄₁	semidirect
1018. C₈×Q₈	C₂²×C₄₁	semidirect
1021. #442	C₂²×C₄₁	semidirect
1022. #442	C₂²×C₄₁	semidirect
1023. #441	C₂²×C₄₁	semidirect
1024. #441	C₂²×C₄₁	semidirect
1027. #440	C₂²×C₄₁	semidirect
1028. #440	C₂²×C₄₁	semidirect
1029. #440	C₂²×C₄₁	semidirect
1030. #440	C₂²×C₄₁	semidirect
1031. C₄×Q₁₆	C₂²×C₄₁	semidirect
1032. C₄×Q₁₆	C₂²×C₄₁	semidirect
1035. C₄×SD₁₆	C₂²×C₄₁	semidirect
1036. C₄×SD₁₆	C₂²×C₄₁	semidirect
1037. C₄×SD₁₆	C₂²×C₄₁	semidirect
1038. C₄×SD₁₆	C₂²×C₄₁	semidirect
1041. C₄×D₈	C₂²×C₄₁	semidirect
1042. C₄×D₈	C₂²×C₄₁	semidirect
1049. C₄₁	#61919	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×#3557	2
C₄₁×#3506	2
C₄₁×#3403	2
C₄₁×#3402	2
C₄₁×#3401	2
C₄₁×#3399	2
C₄₁×#3397	2
C₄₁×#3396	2
C₄₁×#3394	2
C₄₁×#3377	2
C₄₁×#3376	2
C₄₁×#3371	2
C₄₁×#3370	2
C₄₁×#3368	2
C₄₁×#3366	2
C₄₁×#3365	2
C₄₁×#3361	2
C₄₁×#3224	2
C₄₁×#3222	2
C₄₁×#3220	2
C₄₁×#3219	2
C₄₁×#3212	2
C₄₁×#3125	2
C₄₁×#3124	2
C₄₁×#3120	2
C₄₁×#3119	2
C₄₁×#3114	2
C₄₁×#3105	2
C₄₁×#2985	2
#61919	41

Subgroups — C41×#61919 #23838120

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₄₁×#61919 #23838120