Subgroups — C₄₁×#61925 #23838126

Order 10496.

1664 conjugacy classes of subgroups.

The subgroup lattice has 1648 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₄₁×#3555	C₂	1	1	yes	maximal, characteristic, complemented
2	C₄₁×#3510	C₂	1	1	yes	maximal, characteristic, complemented
3	C₄₁×#3402	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×#3400	C₂	1	1	yes	maximal, characteristic, complemented
8	C₄₁×#3398	C₂	1	1	yes	maximal, characteristic, complemented
9	C₄₁×#3394	C₂	1	1	yes	maximal, characteristic, complemented
10	C₄₁×#3393	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×#3375	C₂	1	1	yes	maximal, characteristic, complemented
14	C₄₁×#3371	C₂	1	1	yes	maximal, characteristic, complemented
15	C₄₁×#3370	C₂	1	1	yes	maximal, characteristic, complemented
16	C₄₁×#3369	C₂	1	1	yes	maximal, characteristic, complemented
17	C₄₁×#3365	C₂	1	1	yes	maximal, characteristic, complemented
18	C₄₁×#3364	C₂	1	1	yes	maximal, characteristic, complemented
19	C₄₁×#3225	C₂	1	1	yes	maximal, characteristic, complemented
20	C₄₁×#3224	C₂	1	1	yes	maximal, characteristic
21	C₄₁×#3223	C₂	1	1	yes	maximal, characteristic, complemented
22	C₄₁×#3222	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄₁×#3215	C₂	1	1	yes	maximal, characteristic, complemented
24	C₄₁×#3211	C₂	1	1	yes	maximal, characteristic, complemented
25	C₄₁×#3127	C₂	1	1	yes	maximal, characteristic, complemented
26	C₄₁×#3123	C₂	1	1	yes	maximal, characteristic, complemented
27	C₄₁×#3121	C₂	1	1	yes	maximal, characteristic, complemented
28	C₄₁×#3118	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄₁×#3111	C₂	1	1	yes	maximal, characteristic, complemented
30	C₄₁×#3107	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	Q₈²×C₄₁	C₂²	1	1	yes	characteristic, complemented
39	C₄₁×#557	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	—	2	1	no	—
43	C₄₁×#556	C₂²	1	1	yes	characteristic
44	C₄₁×#556	C₂²	1	1	yes	characteristic
45	C₄₁×#556	C₂²	1	1	yes	characteristic
46	C₄₁×#556	C₂²	1	1	yes	characteristic
47	C₄₁×#556	C₂²	1	1	yes	characteristic, complemented
48	C₄₁×#556	C₂²	1	1	yes	characteristic, complemented
49	C₄₁×#556	C₂²	1	1	yes	characteristic, complemented
50	C₄₁×#554	C₂²	1	1	yes	characteristic, complemented
51	C₄₁×#552	—	2	1	no	—
52	C₄₁×#551	—	2	1	no	—
53	C₄₁×#551	—	2	1	no	—
54	C₄₁×#551	—	2	1	no	—
55	C₄₁×#551	—	2	1	no	—
56	C₄₁×#544	—	2	1	no	—
57	C₄₁×#542	—	2	1	no	—
58	C₄₁×#542	—	2	1	no	—
59	C₄₁×#542	C₂²	1	1	yes	characteristic
60	C₄₁×#542	C₂²	1	1	yes	characteristic
61	C₄₁×#541	—	2	1	no	—
62	C₄₁×#541	—	2	1	no	—
63	C₄₁×#541	—	2	1	no	—
64	C₄₁×#541	C₂²	1	1	yes	characteristic
65	C₄₁×#541	C₂²	1	1	yes	characteristic
66	C₄₁×#536	C₂²	1	1	yes	characteristic
67	C₄₁×#535	C₂²	1	1	yes	characteristic
68	C₄₁×#533	C₂²	1	1	yes	characteristic
69	C₄₁×#533	C₂²	1	1	yes	characteristic
70	C₄₁×#529	—	2	1	no	—
71	C₄₁×#529	—	2	1	no	—
72	C₄₁×#529	C₂²	1	1	yes	characteristic
73	C₂×#124×C₄₁	C₂²	1	1	yes	characteristic
74	C₄₁×#519	C₂²	1	1	yes	characteristic
75	C₄₁×#518	C₂²	1	1	yes	characteristic
76	C₄×#41×C₄₁	C₂²	1	1	yes	characteristic
77	C₄₁×#497	C₂²	1	1	yes	characteristic
78	C₄₁×#497	C₂²	1	1	yes	characteristic
79	C₄₁×#497	C₂²	1	1	yes	characteristic
80	C₄₁×#497	C₂²	1	1	yes	characteristic, complemented
81	C₄₁×#497	C₂²	1	1	yes	characteristic, complemented
82	C₄₁×#496	C₂²	1	1	yes	characteristic
83	C₄₁×#495	C₂²	1	1	yes	characteristic
84	C₄₁×#495	C₂²	1	1	yes	characteristic
85	C₄₁×#495	C₂²	1	1	yes	characteristic
86	C₄₁×#495	C₂²	1	1	yes	characteristic, complemented
87	C₄₁×#494	C₂²	1	1	yes	characteristic, complemented
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×#489	C₂²	1	1	yes	characteristic
92	C₄₁×#489	C₂²	1	1	yes	characteristic
93	C₄₁×#489	C₂²	1	1	yes	characteristic
94	C₄₁×#489	C₂²	1	1	yes	characteristic, complemented
95	C₄₁×#488	C₂²	1	1	yes	characteristic
96	C₄₁×#488	C₂²	1	1	yes	characteristic
97	C₄₁×#488	C₂²	1	1	yes	characteristic
98	C₄₁×#488	C₂²	1	1	yes	characteristic, complemented
99	C₄₁×#487	C₂²	1	1	yes	characteristic, complemented
100	C₄₁×#486	C₂²	1	1	yes	characteristic
101	C₄₁×#485	C₂²	1	1	yes	characteristic
102	C₄₁×#485	C₂²	1	1	yes	characteristic
103	C₄₁×#485	C₂²	1	1	yes	characteristic
104	C₄₁×#482	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×#479	C₂²	1	1	yes	characteristic, complemented
108	C₄₁×#478	C₂²	1	1	yes	characteristic
109	C₄₁×#478	C₂²	1	1	yes	characteristic
110	C₄₁×#478	C₂²	1	1	yes	characteristic, complemented
111	C₄₁×#477	C₂²	1	1	yes	characteristic, complemented
112	C₄₁×#476	C₂²	1	1	yes	characteristic
113	C₄₁×#475	C₂²	1	1	yes	characteristic, complemented
114	C₄₁×#475	C₂²	1	1	yes	characteristic, complemented
115	C₄₁×#474	C₂²	1	1	yes	characteristic
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
122	C₄₁×#464	C₂²	1	1	yes	characteristic
123	C₄₁×#464	C₂²	1	1	yes	characteristic
124	C₄₁×#464	C₂²	1	1	yes	characteristic
125	C₄₁×#464	C₂²	1	1	yes	characteristic
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×#464	C₂²	1	1	yes	characteristic, complemented
130	C₄₁×#464	C₂²	1	1	yes	characteristic, complemented
131	C₄₁×#464	C₂²	1	1	yes	characteristic, complemented
132	C₄₁×#463	C₂²	1	1	yes	characteristic
133	C₄₁×#463	C₂²	1	1	yes	characteristic
134	C₄₁×#463	C₂²	1	1	yes	characteristic
135	C₄₁×#463	C₂²	1	1	yes	characteristic
136	C₄₁×#463	C₂²	1	1	yes	characteristic
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×#462	C₂²	1	1	yes	characteristic, complemented
144	C₄₁×#462	C₂²	1	1	yes	characteristic, complemented
145	C₄₁×#461	C₂²	1	1	yes	characteristic
146	C₄₁×#461	C₂²	1	1	yes	characteristic
147	C₄₁×#461	C₂²	1	1	yes	characteristic, complemented
148	C₄₁×#461	C₂²	1	1	yes	characteristic, complemented
149	C₄₁×#460	C₂²	1	1	yes	characteristic
150	C₄₁×#460	C₂²	1	1	yes	characteristic
151	C₄₁×#460	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×#451	C₂²	1	1	yes	characteristic
157	C₄₁×#451	C₂²	1	1	yes	characteristic
158	C₄₁×#451	C₂²	1	1	yes	characteristic
159	C₄₁×#450	C₂²	1	1	yes	characteristic
160	C₄₁×#450	C₂²	1	1	yes	characteristic
161	C₄₁×#450	C₂²	1	1	yes	characteristic
162	C₄₁×#449	C₂²	1	1	yes	characteristic
163	C₄₁×#448	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, complemented
175	C₄₁×#441	C₂²	1	1	yes	characteristic, complemented
176	C₄₁×#441	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
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×Q₁₆×C₄₁	C₂²	1	1	yes	characteristic, complemented
188	C₄×Q₁₆×C₄₁	C₂²	1	1	yes	characteristic, complemented
189	C₄×Q₁₆×C₄₁	C₂²	1	1	yes	characteristic, complemented
190	C₄×SD₁₆×C₄₁	C₂²	1	1	yes	characteristic
191	C₄×SD₁₆×C₄₁	C₂²	1	1	yes	characteristic
192	C₄×SD₁₆×C₄₁	C₂²	1	1	yes	characteristic
193	C₄×SD₁₆×C₄₁	C₂²	1	1	yes	characteristic, complemented
194	C₄×SD₁₆×C₄₁	C₂²	1	1	yes	characteristic, complemented
195	C₄×SD₁₆×C₄₁	C₂²	1	1	yes	characteristic, complemented
196	C₄×D₈×C₄₁	C₂²	1	1	yes	characteristic
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	C₂³	1	1	yes	characteristic
204	C₂²×Q₈×C₄₁	C₂³	1	1	yes	characteristic
205	C₂²×D₄×C₄₁	C₂³	1	1	yes	characteristic
206	C₂×Q₁₆×C₄₁	C₂³	1	1	yes	characteristic
207	C₂×Q₁₆×C₄₁	C₂³	1	1	yes	characteristic
208	C₂×Q₁₆×C₄₁	C₂³	1	1	yes	characteristic
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×Q₁₆×C₄₁	C₂³	1	1	yes	characteristic
214	C₂×Q₁₆×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×SD₁₆×C₄₁	C₂³	1	1	yes	characteristic
226	C₂×SD₁₆×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	C₄⋊Q₈×C₄₁	—	2	1	no	—
231	C₄⋊Q₈×C₄₁	—	2	1	no	—
232	C₄⋊Q₈×C₄₁	—	2	1	no	—
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	C₄⋊Q₈×C₄₁	C₂³	1	1	yes	characteristic
242	C₄⋊Q₈×C₄₁	C₂³	1	1	yes	characteristic
243	C₄⋊Q₈×C₄₁	C₂³	1	1	yes	characteristic
244	C₄⋊Q₈×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	#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	#125×C₄₁	—	2	1	no	—
269	#125×C₄₁	—	2	1	no	—
270	#125×C₄₁	—	2	1	no	—
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	—	2	1	no	—
277	#125×C₄₁	—	2	1	no	—
278	#125×C₄₁	—	2	1	no	—
279	#125×C₄₁	—	2	1	no	—
280	#125×C₄₁	D₄	1	1	yes	characteristic
281	#125×C₄₁	D₄	1	1	yes	characteristic
282	#125×C₄₁	C₂³	1	1	yes	characteristic
283	#125×C₄₁	C₂³	1	1	yes	characteristic
284	#125×C₄₁	C₂³	1	1	yes	characteristic
285	#124×C₄₁	—	2	1	no	—
286	#124×C₄₁	—	2	1	no	—
287	#124×C₄₁	—	2	1	no	—
288	#124×C₄₁	—	2	1	no	—
289	#124×C₄₁	—	2	1	no	—
290	#124×C₄₁	—	2	1	no	—
291	#124×C₄₁	—	2	1	no	—
292	#124×C₄₁	—	2	1	no	—
293	#124×C₄₁	C₂³	1	1	yes	characteristic
294	#124×C₄₁	C₂³	1	1	yes	characteristic
295	#124×C₄₁	C₂³	1	1	yes	characteristic
296	#124×C₄₁	C₂³	1	1	yes	characteristic
297	#124×C₄₁	C₂³	1	1	yes	characteristic
298	#124×C₄₁	C₂³	1	1	yes	characteristic
299	#124×C₄₁	C₂³	1	1	yes	characteristic
300	#124×C₄₁	C₂³	1	1	yes	characteristic
301	#124×C₄₁	C₂³	1	1	yes	characteristic
302	#124×C₄₁	C₂³	1	1	yes	characteristic
303	#124×C₄₁	C₂³	1	1	yes	characteristic
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	—	2	1	no	—
311	#123×C₄₁	—	2	1	no	—
312	#123×C₄₁	—	2	1	no	—
313	#123×C₄₁	—	2	1	no	—
314	#123×C₄₁	—	2	1	no	—
315	#123×C₄₁	—	2	1	no	—
316	#123×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	—	2	1	no	—
330	C₂²⋊Q₈×C₄₁	—	2	1	no	—
331	C₂²⋊Q₈×C₄₁	—	2	1	no	—
332	C₂²⋊Q₈×C₄₁	D₄	1	1	yes	characteristic
333	C₂²⋊Q₈×C₄₁	D₄	1	1	yes	characteristic
334	C₂²⋊Q₈×C₄₁	D₄	1	1	yes	characteristic
335	C₂²⋊Q₈×C₄₁	D₄	1	1	yes	characteristic
336	C₂²⋊Q₈×C₄₁	C₂³	1	1	yes	characteristic
337	C₂²⋊Q₈×C₄₁	C₂³	1	1	yes	characteristic
338	C₂²⋊Q₈×C₄₁	C₂³	1	1	yes	characteristic
339	#121×C₄₁	—	2	1	no	—
340	#121×C₄₁	—	2	1	no	—
341	#121×C₄₁	C₂³	1	1	yes	characteristic
342	#120×C₄₁	—	2	1	no	—
343	#120×C₄₁	—	2	1	no	—
344	C₄×Q₈×C₄₁	—	2	1	no	—
345	C₄×Q₈×C₄₁	—	2	1	no	—
346	C₄×Q₈×C₄₁	—	2	1	no	—
347	C₄×Q₈×C₄₁	—	2	1	no	—
348	C₄×Q₈×C₄₁	—	2	1	no	—
349	C₄×Q₈×C₄₁	—	2	1	no	—
350	C₄×Q₈×C₄₁	—	2	1	no	—
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×Q₈×C₄₁	C₂³	1	1	yes	characteristic
364	C₄×Q₈×C₄₁	C₂³	1	1	yes	characteristic
365	C₄×Q₈×C₄₁	C₂³	1	1	yes	characteristic
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×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	#117×C₄₁	—	2	1	no	—
389	#117×C₄₁	—	2	1	no	—
390	#117×C₄₁	—	2	1	no	—
391	#117×C₄₁	—	2	1	no	—
392	#117×C₄₁	—	2	1	no	—
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	C₂³	1	1	yes	characteristic
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×C₂²⋊C₄×C₄₁	—	2	1	no	—
405	C₂×C₂²⋊C₄×C₄₁	—	2	1	no	—
406	C₂×C₂²⋊C₄×C₄₁	—	2	1	no	—
407	C₂×C₂²⋊C₄×C₄₁	—	2	1	no	—
408	C₂×C₄²×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	#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	#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	C₂×Q₈×C₄₁	—	2	1	no	—
482	C₂×Q₈×C₄₁	—	2	1	no	—
483	C₂×Q₈×C₄₁	—	2	1	no	—
484	C₂×Q₈×C₄₁	—	2	1	no	—
485	C₂×Q₈×C₄₁	—	4	1	no	—
486	C₂×Q₈×C₄₁	—	4	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×Q₈×C₄₁	C₂⁴	1	1	yes	characteristic
496	C₂×Q₈×C₄₁	C₂⁴	1	1	yes	characteristic
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	—	4	1	no	—
505	C₂×D₄×C₄₁	—	4	1	no	—
506	C₂×D₄×C₄₁	C₂⁴	1	1	yes	characteristic
507	C₂×D₄×C₄₁	C₂⁴	1	1	yes	characteristic
508	C₂×D₄×C₄₁	C₂⁴	1	1	yes	characteristic
509	C₂×D₄×C₄₁	C₂⁴	1	1	yes	characteristic
510	C₂²×C₄×C₄₁	—	2	1	no	—
511	C₂²×C₄×C₄₁	—	2	1	no	—
512	C₂²×C₄×C₄₁	—	2	1	no	—
513	C₂²×C₄×C₄₁	—	2	1	no	—
514	C₂²×C₄×C₄₁	—	2	1	no	—
515	C₂²×C₄×C₄₁	—	2	1	no	—
516	C₂²×C₄×C₄₁	—	2	1	no	—
517	C₂²×C₄×C₄₁	—	2	1	no	—
518	C₂²×C₄×C₄₁	—	2	1	no	—
519	C₂²×C₄×C₄₁	—	2	1	no	—
520	C₂²×C₄×C₄₁	—	2	1	no	—
521	C₂²×C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
522	C₂²×C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
523	C₂²×C₄×C₄₁	C₂⁴	1	1	yes	characteristic
524	Q₁₆×C₄₁	—	4	1	no	—
525	Q₁₆×C₄₁	—	4	1	no	—
526	Q₁₆×C₄₁	—	4	1	no	—
527	Q₁₆×C₄₁	—	4	1	no	—
528	Q₁₆×C₄₁	—	4	1	no	—
529	Q₁₆×C₄₁	—	4	1	no	—
530	Q₁₆×C₄₁	—	4	1	no	—
531	Q₁₆×C₄₁	—	4	1	no	—
532	Q₁₆×C₄₁	—	4	1	no	—
533	SD₁₆×C₄₁	—	4	1	no	—
534	SD₁₆×C₄₁	—	4	1	no	—
535	SD₁₆×C₄₁	—	4	1	no	—
536	SD₁₆×C₄₁	—	4	1	no	—
537	SD₁₆×C₄₁	—	4	1	no	—
538	SD₁₆×C₄₁	—	4	1	no	—
539	SD₁₆×C₄₁	—	4	1	no	—
540	SD₁₆×C₄₁	—	4	1	no	—
541	SD₁₆×C₄₁	—	4	1	no	—
542	SD₁₆×C₄₁	—	4	1	no	—
543	SD₁₆×C₄₁	—	4	1	no	—
544	SD₁₆×C₄₁	—	4	1	no	—
545	D₈×C₄₁	—	4	1	no	—
546	D₈×C₄₁	—	4	1	no	—
547	D₈×C₄₁	—	4	1	no	—
548	C₂×C₈×C₄₁	C₂⁴	1	1	yes	characteristic
549	C₂×C₈×C₄₁	C₂⁴	1	1	yes	characteristic
550	C₂×C₈×C₄₁	C₂⁴	1	1	yes	characteristic
551	C₂×C₈×C₄₁	C₂⁴	1	1	yes	characteristic
552	C₂×C₈×C₄₁	C₂⁴	1	1	yes	characteristic
553	C₂×C₈×C₄₁	C₂⁴	1	1	yes	characteristic
554	C₂×C₈×C₄₁	C₂⁴	1	1	yes	characteristic
555	C₂×C₈×C₄₁	C₂⁴	1	1	yes	characteristic
556	C₄⋊C₄×C₄₁	—	2	1	no	—
557	C₄⋊C₄×C₄₁	—	2	1	no	—
558	C₄⋊C₄×C₄₁	—	2	1	no	—
559	C₄⋊C₄×C₄₁	—	2	1	no	—
560	C₄⋊C₄×C₄₁	—	2	1	no	—
561	C₄⋊C₄×C₄₁	—	2	1	no	—
562	C₄⋊C₄×C₄₁	—	2	1	no	—
563	C₄⋊C₄×C₄₁	—	2	1	no	—
564	C₄⋊C₄×C₄₁	—	2	1	no	—
565	C₄⋊C₄×C₄₁	—	2	1	no	—
566	C₄⋊C₄×C₄₁	—	2	1	no	—
567	C₄⋊C₄×C₄₁	—	2	1	no	—
568	C₄⋊C₄×C₄₁	—	2	1	no	—
569	C₄⋊C₄×C₄₁	—	2	1	no	—
570	C₄⋊C₄×C₄₁	—	2	1	no	—
571	C₄⋊C₄×C₄₁	—	2	1	no	—
572	C₄⋊C₄×C₄₁	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
594	C₄⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
595	C₄⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
596	C₄⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
597	C₄⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
598	C₄⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
599	C₄⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
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	C₂⁴	1	1	yes	characteristic
610	C₄⋊C₄×C₄₁	C₂⁴	1	1	yes	characteristic
611	C₄⋊C₄×C₄₁	C₂⁴	1	1	yes	characteristic
612	C₄⋊C₄×C₄₁	C₂⁴	1	1	yes	characteristic
613	C₄⋊C₄×C₄₁	C₂⁴	1	1	yes	characteristic
614	C₄⋊C₄×C₄₁	C₂⁴	1	1	yes	characteristic
615	C₂²⋊C₄×C₄₁	—	2	1	no	—
616	C₂²⋊C₄×C₄₁	—	2	1	no	—
617	C₂²⋊C₄×C₄₁	—	2	1	no	—
618	C₂²⋊C₄×C₄₁	—	2	1	no	—
619	C₂²⋊C₄×C₄₁	—	2	1	no	—
620	C₂²⋊C₄×C₄₁	—	2	1	no	—
621	C₂²⋊C₄×C₄₁	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
652	C₂²⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
653	C₂²⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
654	C₂²⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
655	C₄²×C₄₁	—	2	1	no	—
656	C₄²×C₄₁	—	2	1	no	—
657	C₄²×C₄₁	—	2	1	no	—
658	C₄²×C₄₁	—	2	1	no	—
659	C₄²×C₄₁	—	2	1	no	—
660	C₄²×C₄₁	—	2	1	no	—
661	C₄²×C₄₁	—	2	1	no	—
662	C₄²×C₄₁	—	2	1	no	—
663	C₄²×C₄₁	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
672	C₄²×C₄₁	C₂×D₄	1	1	yes	characteristic
673	C₄²×C₄₁	C₂⁴	1	1	yes	characteristic
674	C₄²×C₄₁	C₂⁴	1	1	yes	characteristic
675	C₄²×C₄₁	C₂⁴	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	C₂³×C₄₁	—	2	1	no	—
680	C₂³×C₄₁	—	2	1	no	—
681	C₂³×C₄₁	—	2	1	no	—
682	C₂³×C₄₁	—	2	1	no	—
683	C₂³×C₄₁	—	4	2	no	—
684	C₂³×C₄₁	—	8	1	no	—
685	C₂³×C₄₁	—	8	1	no	—
686	C₂³×C₄₁	C₂²×D₄	1	1	yes	characteristic
687	Q₈×C₄₁	—	2	1	no	—
688	Q₈×C₄₁	—	2	1	no	—
689	Q₈×C₄₁	—	2	1	no	—
690	Q₈×C₄₁	—	2	1	no	—
691	Q₈×C₄₁	—	2	1	no	—
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	—	4	1	no	—
700	Q₈×C₄₁	—	4	1	no	—
701	Q₈×C₄₁	—	4	1	no	—
702	Q₈×C₄₁	—	4	1	no	—
703	Q₈×C₄₁	—	4	2	no	—
704	Q₈×C₄₁	—	8	1	no	—
705	Q₈×C₄₁	—	8	1	no	—
706	Q₈×C₄₁	—	8	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	—	4	2	no	—
716	D₄×C₄₁	—	4	2	no	—
717	D₄×C₄₁	—	8	1	no	—
718	D₄×C₄₁	—	8	1	no	—
719	D₄×C₄₁	—	8	1	no	—
720	D₄×C₄₁	—	8	1	no	—
721	D₄×C₄₁	—	8	1	no	—
722	C₂×C₄×C₄₁	—	2	1	no	—
723	C₂×C₄×C₄₁	—	2	1	no	—
724	C₂×C₄×C₄₁	—	2	1	no	—
725	C₂×C₄×C₄₁	—	2	1	no	—
726	C₂×C₄×C₄₁	—	2	1	no	—
727	C₂×C₄×C₄₁	—	2	1	no	—
728	C₂×C₄×C₄₁	—	2	1	no	—
729	C₂×C₄×C₄₁	—	2	1	no	—
730	C₂×C₄×C₄₁	—	2	1	no	—
731	C₂×C₄×C₄₁	—	2	1	no	—
732	C₂×C₄×C₄₁	—	2	1	no	—
733	C₂×C₄×C₄₁	—	2	1	no	—
734	C₂×C₄×C₄₁	—	2	1	no	—
735	C₂×C₄×C₄₁	—	2	1	no	—
736	C₂×C₄×C₄₁	—	4	1	no	—
737	C₂×C₄×C₄₁	—	4	1	no	—
738	C₂×C₄×C₄₁	—	4	2	no	—
739	C₂×C₄×C₄₁	—	4	2	no	—
740	C₂×C₄×C₄₁	—	4	2	no	—
741	C₂×C₄×C₄₁	—	8	1	no	—
742	C₂×C₄×C₄₁	—	8	1	no	—
743	C₂×C₄×C₄₁	—	8	1	no	—
744	C₂×C₄×C₄₁	—	8	1	no	—
745	C₂×C₄×C₄₁	—	8	1	no	—
746	C₂×C₄×C₄₁	—	8	1	no	—
747	C₂×C₄×C₄₁	—	8	1	no	—
748	C₂×C₄×C₄₁	—	8	1	no	—
749	C₂×C₄×C₄₁	C₂²×D₄	1	1	yes	characteristic
750	C₂×C₄×C₄₁	C₂²×D₄	1	1	yes	characteristic
751	C₂×C₄×C₄₁	C₂²×D₄	1	1	yes	characteristic
752	C₂×C₄×C₄₁	C₂²×D₄	1	1	yes	characteristic
753	C₂×C₄×C₄₁	C₂²×D₄	1	1	yes	characteristic
754	C₂×C₄×C₄₁	C₂²×D₄	1	1	yes	characteristic
755	C₂×C₄×C₄₁	C₂²×D₄	1	1	yes	characteristic
756	C₂×C₄×C₄₁	C₂²×D₄	1	1	yes	characteristic
757	C₂×C₄×C₄₁	C₂²×D₄	1	1	yes	characteristic
758	C₂×C₄×C₄₁	C₂²×D₄	1	1	yes	characteristic
759	C₂×C₄×C₄₁	C₂²×D₄	1	1	yes	characteristic
760	C₂×C₄×C₄₁	C₂²×D₄	1	1	yes	characteristic
761	C₂×C₄×C₄₁	C₂²×D₄	1	1	yes	characteristic
762	C₂×C₄×C₄₁	C₂⁵	1	1	yes	characteristic
763	C₈×C₄₁	—	2	1	no	—
764	C₈×C₄₁	—	2	1	no	—
765	C₈×C₄₁	—	2	1	no	—
766	C₈×C₄₁	—	2	1	no	—
767	C₈×C₄₁	—	2	1	no	—
768	C₈×C₄₁	—	2	1	no	—
769	C₈×C₄₁	—	2	1	no	—
770	C₈×C₄₁	—	2	1	no	—
771	#61925	C₄₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
772	C₂²×C₄₁	—	2	1	no	—
773	C₂²×C₄₁	—	2	1	no	—
774	C₂²×C₄₁	—	2	1	no	—
775	C₂²×C₄₁	—	4	1	no	—
776	C₂²×C₄₁	—	4	1	no	—
777	C₂²×C₄₁	—	4	1	no	—
778	C₂²×C₄₁	—	4	1	no	—
779	C₂²×C₄₁	—	4	1	no	—
780	C₂²×C₄₁	—	4	1	no	—
781	C₂²×C₄₁	—	4	1	no	—
782	C₂²×C₄₁	—	4	1	no	—
783	C₂²×C₄₁	—	4	1	no	—
784	C₂²×C₄₁	—	4	1	no	—
785	C₂²×C₄₁	—	4	1	no	—
786	C₂²×C₄₁	—	4	1	no	—
787	C₂²×C₄₁	—	16	2	no	—
788	C₂²×C₄₁	C₂³×D₄	1	1	yes	characteristic
789	C₄×C₄₁	—	2	1	no	—
790	C₄×C₄₁	—	2	1	no	—
791	C₄×C₄₁	—	2	1	no	—
792	C₄×C₄₁	—	2	1	no	—
793	C₄×C₄₁	—	2	1	no	—
794	C₄×C₄₁	—	2	1	no	—
795	C₄×C₄₁	—	2	1	no	—
796	C₄×C₄₁	—	2	1	no	—
797	C₄×C₄₁	—	2	1	no	—
798	C₄×C₄₁	—	2	1	no	—
799	C₄×C₄₁	—	2	1	no	—
800	C₄×C₄₁	—	2	1	no	—
801	C₄×C₄₁	—	2	1	no	—
802	C₄×C₄₁	—	4	1	no	—
803	C₄×C₄₁	—	4	1	no	—
804	C₄×C₄₁	—	4	1	no	—
805	C₄×C₄₁	—	4	1	no	—
806	C₄×C₄₁	—	4	1	no	—
807	C₄×C₄₁	—	4	1	no	—
808	C₄×C₄₁	—	4	1	no	—
809	C₄×C₄₁	—	4	1	no	—
810	C₄×C₄₁	—	4	1	no	—
811	C₄×C₄₁	—	4	1	no	—
812	C₄×C₄₁	—	4	1	no	—
813	C₄×C₄₁	—	4	1	no	—
814	C₄×C₄₁	#585	1	1	yes	characteristic
815	C₄×C₄₁	#585	1	1	yes	characteristic
816	#3555	C₂×C₄₁	1	1	yes	characteristic, complemented
817	#3510	C₂×C₄₁	1	1	yes	characteristic, complemented
818	#3402	C₂×C₄₁	1	1	yes	characteristic, complemented
819	#3402	C₂×C₄₁	1	1	yes	characteristic, complemented
820	#3401	C₂×C₄₁	1	1	yes	characteristic, complemented
821	#3401	C₂×C₄₁	1	1	yes	characteristic, complemented
822	#3400	C₂×C₄₁	1	1	yes	characteristic, complemented
823	#3398	C₂×C₄₁	1	1	yes	characteristic, complemented
824	#3394	C₂×C₄₁	1	1	yes	characteristic, complemented
825	#3393	C₂×C₄₁	1	1	yes	characteristic, complemented
826	#3377	C₂×C₄₁	1	1	yes	characteristic, complemented
827	#3376	C₂×C₄₁	1	1	yes	characteristic, complemented
828	#3375	C₂×C₄₁	1	1	yes	characteristic, complemented
829	#3371	C₂×C₄₁	1	1	yes	characteristic, complemented
830	#3370	C₂×C₄₁	1	1	yes	characteristic, complemented
831	#3369	C₂×C₄₁	1	1	yes	characteristic, complemented
832	#3365	C₂×C₄₁	1	1	yes	characteristic, complemented
833	#3364	C₂×C₄₁	1	1	yes	characteristic, complemented
834	#3225	C₂×C₄₁	1	1	yes	characteristic, complemented
835	#3224	C₂×C₄₁	1	1	yes	characteristic
836	#3223	C₂×C₄₁	1	1	yes	characteristic, complemented
837	#3222	C₂×C₄₁	1	1	yes	characteristic, complemented
838	#3215	C₂×C₄₁	1	1	yes	characteristic, complemented
839	#3211	C₂×C₄₁	1	1	yes	characteristic, complemented
840	#3127	C₂×C₄₁	1	1	yes	characteristic, complemented
841	#3123	C₂×C₄₁	1	1	yes	characteristic, complemented
842	#3121	C₂×C₄₁	1	1	yes	characteristic, complemented
843	#3118	C₂×C₄₁	1	1	yes	characteristic, complemented
844	#3111	C₂×C₄₁	1	1	yes	characteristic, complemented
845	#3107	C₂×C₄₁	1	1	yes	characteristic, complemented
846	#2985	C₂×C₄₁	1	1	yes	characteristic, complemented
847	C₂×C₄₁	—	4	1	no	—
848	C₂×C₄₁	—	8	1	no	—
849	C₂×C₄₁	—	8	1	no	—
850	C₂×C₄₁	—	8	1	no	—
851	C₂×C₄₁	—	8	1	no	—
852	C₂×C₄₁	#3487	1	1	yes	characteristic
853	C₂×C₄₁	#3584	1	1	yes	characteristic
854	C₂×C₄₁	#3586	1	1	yes	characteristic
855	#563	—	2	1	no	—
856	#563	—	2	1	no	—
857	#559	C₂²×C₄₁	1	1	yes	characteristic
858	#559	C₂²×C₄₁	1	1	yes	characteristic
859	#559	C₂²×C₄₁	1	1	yes	characteristic
860	#559	C₂²×C₄₁	1	1	yes	characteristic
861	Q₈²	C₂²×C₄₁	1	1	yes	characteristic, complemented
862	#557	C₂²×C₄₁	1	1	yes	characteristic, complemented
863	#557	C₂²×C₄₁	1	1	yes	characteristic, complemented
864	#557	C₂²×C₄₁	1	1	yes	characteristic, complemented
865	#556	—	2	1	no	—
866	#556	C₂²×C₄₁	1	1	yes	characteristic
867	#556	C₂²×C₄₁	1	1	yes	characteristic
868	#556	C₂²×C₄₁	1	1	yes	characteristic
869	#556	C₂²×C₄₁	1	1	yes	characteristic
870	#556	C₂²×C₄₁	1	1	yes	characteristic, complemented
871	#556	C₂²×C₄₁	1	1	yes	characteristic, complemented
872	#556	C₂²×C₄₁	1	1	yes	characteristic, complemented
873	#554	C₂²×C₄₁	1	1	yes	characteristic, complemented
874	#552	—	2	1	no	—
875	#551	—	2	1	no	—
876	#551	—	2	1	no	—
877	#551	—	2	1	no	—
878	#551	—	2	1	no	—
879	#544	—	2	1	no	—
880	#542	—	2	1	no	—
881	#542	—	2	1	no	—
882	#542	C₂²×C₄₁	1	1	yes	characteristic
883	#542	C₂²×C₄₁	1	1	yes	characteristic
884	#541	—	2	1	no	—
885	#541	—	2	1	no	—
886	#541	—	2	1	no	—
887	#541	C₂²×C₄₁	1	1	yes	characteristic
888	#541	C₂²×C₄₁	1	1	yes	characteristic
889	#536	C₂²×C₄₁	1	1	yes	characteristic
890	#535	C₂²×C₄₁	1	1	yes	characteristic
891	#533	C₂²×C₄₁	1	1	yes	characteristic
892	#533	C₂²×C₄₁	1	1	yes	characteristic
893	#529	—	2	1	no	—
894	#529	—	2	1	no	—
895	#529	C₂²×C₄₁	1	1	yes	characteristic
896	C₂×#124	C₂²×C₄₁	1	1	yes	characteristic
897	#519	C₂²×C₄₁	1	1	yes	characteristic
898	#518	C₂²×C₄₁	1	1	yes	characteristic
899	C₄×#41	C₂²×C₄₁	1	1	yes	characteristic
900	#497	C₂²×C₄₁	1	1	yes	characteristic
901	#497	C₂²×C₄₁	1	1	yes	characteristic
902	#497	C₂²×C₄₁	1	1	yes	characteristic
903	#497	C₂²×C₄₁	1	1	yes	characteristic, complemented
904	#497	C₂²×C₄₁	1	1	yes	characteristic, complemented
905	#496	C₂²×C₄₁	1	1	yes	characteristic
906	#495	C₂²×C₄₁	1	1	yes	characteristic
907	#495	C₂²×C₄₁	1	1	yes	characteristic
908	#495	C₂²×C₄₁	1	1	yes	characteristic
909	#495	C₂²×C₄₁	1	1	yes	characteristic, complemented
910	#494	C₂²×C₄₁	1	1	yes	characteristic, complemented
911	#492	C₂²×C₄₁	1	1	yes	characteristic
912	#491	C₂²×C₄₁	1	1	yes	characteristic, complemented
913	#490	C₂²×C₄₁	1	1	yes	characteristic
914	#489	C₂²×C₄₁	1	1	yes	characteristic
915	#489	C₂²×C₄₁	1	1	yes	characteristic
916	#489	C₂²×C₄₁	1	1	yes	characteristic
917	#489	C₂²×C₄₁	1	1	yes	characteristic, complemented
918	#488	C₂²×C₄₁	1	1	yes	characteristic
919	#488	C₂²×C₄₁	1	1	yes	characteristic
920	#488	C₂²×C₄₁	1	1	yes	characteristic
921	#488	C₂²×C₄₁	1	1	yes	characteristic, complemented
922	#487	C₂²×C₄₁	1	1	yes	characteristic, complemented
923	#486	C₂²×C₄₁	1	1	yes	characteristic
924	#485	C₂²×C₄₁	1	1	yes	characteristic
925	#485	C₂²×C₄₁	1	1	yes	characteristic
926	#485	C₂²×C₄₁	1	1	yes	characteristic
927	#482	C₂²×C₄₁	1	1	yes	characteristic
928	#479	C₂²×C₄₁	1	1	yes	characteristic, complemented
929	#479	C₂²×C₄₁	1	1	yes	characteristic, complemented
930	#479	C₂²×C₄₁	1	1	yes	characteristic, complemented
931	#478	C₂²×C₄₁	1	1	yes	characteristic
932	#478	C₂²×C₄₁	1	1	yes	characteristic
933	#478	C₂²×C₄₁	1	1	yes	characteristic, complemented
934	#477	C₂²×C₄₁	1	1	yes	characteristic, complemented
935	#476	C₂²×C₄₁	1	1	yes	characteristic
936	#475	C₂²×C₄₁	1	1	yes	characteristic, complemented
937	#475	C₂²×C₄₁	1	1	yes	characteristic, complemented
938	#474	C₂²×C₄₁	1	1	yes	characteristic
939	#474	C₂²×C₄₁	1	1	yes	characteristic, complemented
940	#464	C₂²×C₄₁	1	1	yes	characteristic
941	#464	C₂²×C₄₁	1	1	yes	characteristic
942	#464	C₂²×C₄₁	1	1	yes	characteristic
943	#464	C₂²×C₄₁	1	1	yes	characteristic
944	#464	C₂²×C₄₁	1	1	yes	characteristic
945	#464	C₂²×C₄₁	1	1	yes	characteristic
946	#464	C₂²×C₄₁	1	1	yes	characteristic
947	#464	C₂²×C₄₁	1	1	yes	characteristic
948	#464	C₂²×C₄₁	1	1	yes	characteristic
949	#464	C₂²×C₄₁	1	1	yes	characteristic, complemented
950	#464	C₂²×C₄₁	1	1	yes	characteristic, complemented
951	#464	C₂²×C₄₁	1	1	yes	characteristic, complemented
952	#464	C₂²×C₄₁	1	1	yes	characteristic, complemented
953	#464	C₂²×C₄₁	1	1	yes	characteristic, complemented
954	#464	C₂²×C₄₁	1	1	yes	characteristic, complemented
955	#463	C₂²×C₄₁	1	1	yes	characteristic
956	#463	C₂²×C₄₁	1	1	yes	characteristic
957	#463	C₂²×C₄₁	1	1	yes	characteristic
958	#463	C₂²×C₄₁	1	1	yes	characteristic
959	#463	C₂²×C₄₁	1	1	yes	characteristic
960	#463	C₂²×C₄₁	1	1	yes	characteristic, complemented
961	#463	C₂²×C₄₁	1	1	yes	characteristic, complemented
962	#462	C₂²×C₄₁	1	1	yes	characteristic, complemented
963	#462	C₂²×C₄₁	1	1	yes	characteristic, complemented
964	#462	C₂²×C₄₁	1	1	yes	characteristic, complemented
965	#462	C₂²×C₄₁	1	1	yes	characteristic, complemented
966	#462	C₂²×C₄₁	1	1	yes	characteristic, complemented
967	#462	C₂²×C₄₁	1	1	yes	characteristic, complemented
968	#461	C₂²×C₄₁	1	1	yes	characteristic
969	#461	C₂²×C₄₁	1	1	yes	characteristic
970	#461	C₂²×C₄₁	1	1	yes	characteristic, complemented
971	#461	C₂²×C₄₁	1	1	yes	characteristic, complemented
972	#460	C₂²×C₄₁	1	1	yes	characteristic
973	#460	C₂²×C₄₁	1	1	yes	characteristic
974	#460	C₂²×C₄₁	1	1	yes	characteristic
975	#459	C₂²×C₄₁	1	1	yes	characteristic
976	#452	C₂²×C₄₁	1	1	yes	characteristic
977	#452	C₂²×C₄₁	1	1	yes	characteristic
978	#452	C₂²×C₄₁	1	1	yes	characteristic
979	#451	C₂²×C₄₁	1	1	yes	characteristic
980	#451	C₂²×C₄₁	1	1	yes	characteristic
981	#451	C₂²×C₄₁	1	1	yes	characteristic
982	#450	C₂²×C₄₁	1	1	yes	characteristic
983	#450	C₂²×C₄₁	1	1	yes	characteristic
984	#450	C₂²×C₄₁	1	1	yes	characteristic
985	#449	C₂²×C₄₁	1	1	yes	characteristic
986	#448	C₂²×C₄₁	1	1	yes	characteristic
987	#447	C₂²×C₄₁	1	1	yes	characteristic
988	#446	C₂²×C₄₁	1	1	yes	characteristic, complemented
989	#446	C₂²×C₄₁	1	1	yes	characteristic, complemented
990	#446	C₂²×C₄₁	1	1	yes	characteristic, complemented
991	#446	C₂²×C₄₁	1	1	yes	characteristic, complemented
992	#446	C₂²×C₄₁	1	1	yes	characteristic, complemented
993	#446	C₂²×C₄₁	1	1	yes	characteristic, complemented
994	C₈×Q₈	C₂²×C₄₁	1	1	yes	characteristic, complemented
995	C₈×Q₈	C₂²×C₄₁	1	1	yes	characteristic, complemented
996	#442	C₂²×C₄₁	1	1	yes	characteristic
997	#442	C₂²×C₄₁	1	1	yes	characteristic, complemented
998	#441	C₂²×C₄₁	1	1	yes	characteristic, complemented
999	#441	C₂²×C₄₁	1	1	yes	characteristic, complemented
1000	#441	C₂²×C₄₁	1	1	yes	characteristic, complemented
1001	#441	C₂²×C₄₁	1	1	yes	characteristic, complemented
1002	#440	C₂²×C₄₁	1	1	yes	characteristic
1003	#440	C₂²×C₄₁	1	1	yes	characteristic
1004	#440	C₂²×C₄₁	1	1	yes	characteristic
1005	#440	C₂²×C₄₁	1	1	yes	characteristic, complemented
1006	#440	C₂²×C₄₁	1	1	yes	characteristic, complemented
1007	#440	C₂²×C₄₁	1	1	yes	characteristic, complemented
1008	C₄×Q₁₆	C₂²×C₄₁	1	1	yes	characteristic, complemented
1009	C₄×Q₁₆	C₂²×C₄₁	1	1	yes	characteristic, complemented
1010	C₄×Q₁₆	C₂²×C₄₁	1	1	yes	characteristic, complemented
1011	C₄×Q₁₆	C₂²×C₄₁	1	1	yes	characteristic, complemented
1012	C₄×Q₁₆	C₂²×C₄₁	1	1	yes	characteristic, complemented
1013	C₄×SD₁₆	C₂²×C₄₁	1	1	yes	characteristic
1014	C₄×SD₁₆	C₂²×C₄₁	1	1	yes	characteristic
1015	C₄×SD₁₆	C₂²×C₄₁	1	1	yes	characteristic
1016	C₄×SD₁₆	C₂²×C₄₁	1	1	yes	characteristic, complemented
1017	C₄×SD₁₆	C₂²×C₄₁	1	1	yes	characteristic, complemented
1018	C₄×SD₁₆	C₂²×C₄₁	1	1	yes	characteristic, complemented
1019	C₄×D₈	C₂²×C₄₁	1	1	yes	characteristic
1020	#433	C₂²×C₄₁	1	1	yes	characteristic
1021	#433	C₂²×C₄₁	1	1	yes	characteristic
1022	#433	C₂²×C₄₁	1	1	yes	characteristic
1023	#433	C₂²×C₄₁	1	1	yes	characteristic
1024	#432	C₂²×C₄₁	1	1	yes	characteristic
1025	#431	C₂²×C₄₁	1	1	yes	characteristic
1026	C₄₁	#61925	1	1	yes	characteristic, direct product factor, Sylow
1027	C₂×#41	C₂³×C₄₁	1	1	yes	characteristic
1028	C₂²×Q₈	C₂³×C₄₁	1	1	yes	characteristic
1029	C₂²×D₄	C₂³×C₄₁	1	1	yes	characteristic
1030	C₂×Q₁₆	C₂³×C₄₁	1	1	yes	characteristic
1031	C₂×Q₁₆	C₂³×C₄₁	1	1	yes	characteristic
1032	C₂×Q₁₆	C₂³×C₄₁	1	1	yes	characteristic
1033	C₂×Q₁₆	C₂³×C₄₁	1	1	yes	characteristic
1034	C₂×Q₁₆	C₂³×C₄₁	1	1	yes	characteristic
1035	C₂×Q₁₆	C₂³×C₄₁	1	1	yes	characteristic
1036	C₂×Q₁₆	C₂³×C₄₁	1	1	yes	characteristic
1037	C₂×Q₁₆	C₂³×C₄₁	1	1	yes	characteristic
1038	C₂×Q₁₆	C₂³×C₄₁	1	1	yes	characteristic
1039	C₂×SD₁₆	C₂³×C₄₁	1	1	yes	characteristic
1040	C₂×SD₁₆	C₂³×C₄₁	1	1	yes	characteristic
1041	C₂×SD₁₆	C₂³×C₄₁	1	1	yes	characteristic
1042	C₂×SD₁₆	C₂³×C₄₁	1	1	yes	characteristic
1043	C₂×SD₁₆	C₂³×C₄₁	1	1	yes	characteristic
1044	C₂×SD₁₆	C₂³×C₄₁	1	1	yes	characteristic
1045	C₂×SD₁₆	C₂³×C₄₁	1	1	yes	characteristic
1046	C₂×SD₁₆	C₂³×C₄₁	1	1	yes	characteristic
1047	C₂×SD₁₆	C₂³×C₄₁	1	1	yes	characteristic
1048	C₂×SD₁₆	C₂³×C₄₁	1	1	yes	characteristic
1049	C₂×SD₁₆	C₂³×C₄₁	1	1	yes	characteristic
1050	C₂×SD₁₆	C₂³×C₄₁	1	1	yes	characteristic
1051	C₂×D₈	C₂³×C₄₁	1	1	yes	characteristic
1052	C₂×D₈	C₂³×C₄₁	1	1	yes	characteristic
1053	C₂×D₈	C₂³×C₄₁	1	1	yes	characteristic
1054	C₄⋊Q₈	—	2	1	no	—
1055	C₄⋊Q₈	—	2	1	no	—
1056	C₄⋊Q₈	—	2	1	no	—
1057	C₄⋊Q₈	—	2	1	no	—
1058	C₄⋊Q₈	—	2	1	no	—
1059	C₄⋊Q₈	D₄×C₄₁	1	1	yes	characteristic
1060	C₄⋊Q₈	D₄×C₄₁	1	1	yes	characteristic
1061	C₄⋊Q₈	C₂³×C₄₁	1	1	yes	characteristic
1062	C₄⋊Q₈	C₂³×C₄₁	1	1	yes	characteristic
1063	C₄⋊Q₈	C₂³×C₄₁	1	1	yes	characteristic
1064	C₄⋊Q₈	C₂³×C₄₁	1	1	yes	characteristic
1065	C₄⋊Q₈	C₂³×C₄₁	1	1	yes	characteristic
1066	C₄⋊Q₈	C₂³×C₄₁	1	1	yes	characteristic
1067	C₄⋊Q₈	C₂³×C₄₁	1	1	yes	characteristic
1068	C₄⋊Q₈	C₂³×C₄₁	1	1	yes	characteristic
1069	#127	C₂³×C₄₁	1	1	yes	characteristic
1070	#127	C₂³×C₄₁	1	1	yes	characteristic
1071	#126	—	2	1	no	—
1072	#126	—	2	1	no	—
1073	#126	—	2	1	no	—
1074	#126	—	2	1	no	—
1075	#126	—	2	1	no	—
1076	#126	—	2	1	no	—
1077	#126	—	2	1	no	—
1078	#126	—	2	1	no	—
1079	#126	—	2	1	no	—
1080	#126	—	2	1	no	—
1081	#126	—	2	1	no	—
1082	#126	—	2	1	no	—
1083	#126	—	2	1	no	—
1084	#126	—	2	1	no	—
1085	#126	—	2	1	no	—
1086	#126	—	2	1	no	—
1087	#126	—	2	1	no	—
1088	#126	—	2	1	no	—
1089	#126	—	2	1	no	—
1090	#126	—	2	1	no	—
1091	#126	—	2	1	no	—
1092	#125	—	2	1	no	—
1093	#125	—	2	1	no	—
1094	#125	—	2	1	no	—
1095	#125	—	2	1	no	—
1096	#125	—	2	1	no	—
1097	#125	—	2	1	no	—
1098	#125	—	2	1	no	—
1099	#125	—	2	1	no	—
1100	#125	—	2	1	no	—
1101	#125	—	2	1	no	—
1102	#125	—	2	1	no	—
1103	#125	—	2	1	no	—
1104	#125	D₄×C₄₁	1	1	yes	characteristic
1105	#125	D₄×C₄₁	1	1	yes	characteristic
1106	#125	C₂³×C₄₁	1	1	yes	characteristic
1107	#125	C₂³×C₄₁	1	1	yes	characteristic
1108	#125	C₂³×C₄₁	1	1	yes	characteristic
1109	#124	—	2	1	no	—
1110	#124	—	2	1	no	—
1111	#124	—	2	1	no	—
1112	#124	—	2	1	no	—
1113	#124	—	2	1	no	—
1114	#124	—	2	1	no	—
1115	#124	—	2	1	no	—
1116	#124	—	2	1	no	—
1117	#124	C₂³×C₄₁	1	1	yes	characteristic
1118	#124	C₂³×C₄₁	1	1	yes	characteristic
1119	#124	C₂³×C₄₁	1	1	yes	characteristic
1120	#124	C₂³×C₄₁	1	1	yes	characteristic
1121	#124	C₂³×C₄₁	1	1	yes	characteristic
1122	#124	C₂³×C₄₁	1	1	yes	characteristic
1123	#124	C₂³×C₄₁	1	1	yes	characteristic
1124	#124	C₂³×C₄₁	1	1	yes	characteristic
1125	#124	C₂³×C₄₁	1	1	yes	characteristic
1126	#124	C₂³×C₄₁	1	1	yes	characteristic
1127	#124	C₂³×C₄₁	1	1	yes	characteristic
1128	#123	—	2	1	no	—
1129	#123	—	2	1	no	—
1130	#123	—	2	1	no	—
1131	#123	—	2	1	no	—
1132	#123	—	2	1	no	—
1133	#123	—	2	1	no	—
1134	#123	—	2	1	no	—
1135	#123	—	2	1	no	—
1136	#123	—	2	1	no	—
1137	#123	—	2	1	no	—
1138	#123	—	2	1	no	—
1139	#123	—	2	1	no	—
1140	#123	—	2	1	no	—
1141	C₂²⋊Q₈	—	2	1	no	—
1142	C₂²⋊Q₈	—	2	1	no	—
1143	C₂²⋊Q₈	—	2	1	no	—
1144	C₂²⋊Q₈	—	2	1	no	—
1145	C₂²⋊Q₈	—	2	1	no	—
1146	C₂²⋊Q₈	—	2	1	no	—
1147	C₂²⋊Q₈	—	2	1	no	—
1148	C₂²⋊Q₈	—	2	1	no	—
1149	C₂²⋊Q₈	—	2	1	no	—
1150	C₂²⋊Q₈	—	2	1	no	—
1151	C₂²⋊Q₈	—	2	1	no	—
1152	C₂²⋊Q₈	—	2	1	no	—
1153	C₂²⋊Q₈	—	2	1	no	—
1154	C₂²⋊Q₈	—	2	1	no	—
1155	C₂²⋊Q₈	—	2	1	no	—
1156	C₂²⋊Q₈	D₄×C₄₁	1	1	yes	characteristic
1157	C₂²⋊Q₈	D₄×C₄₁	1	1	yes	characteristic
1158	C₂²⋊Q₈	D₄×C₄₁	1	1	yes	characteristic
1159	C₂²⋊Q₈	D₄×C₄₁	1	1	yes	characteristic
1160	C₂²⋊Q₈	C₂³×C₄₁	1	1	yes	characteristic
1161	C₂²⋊Q₈	C₂³×C₄₁	1	1	yes	characteristic
1162	C₂²⋊Q₈	C₂³×C₄₁	1	1	yes	characteristic
1163	#121	—	2	1	no	—
1164	#121	—	2	1	no	—
1165	#121	C₂³×C₄₁	1	1	yes	characteristic
1166	#120	—	2	1	no	—
1167	#120	—	2	1	no	—
1168	C₄×Q₈	—	2	1	no	—
1169	C₄×Q₈	—	2	1	no	—
1170	C₄×Q₈	—	2	1	no	—
1171	C₄×Q₈	—	2	1	no	—
1172	C₄×Q₈	—	2	1	no	—
1173	C₄×Q₈	—	2	1	no	—
1174	C₄×Q₈	—	2	1	no	—
1175	C₄×Q₈	C₂³×C₄₁	1	1	yes	characteristic
1176	C₄×Q₈	C₂³×C₄₁	1	1	yes	characteristic
1177	C₄×Q₈	C₂³×C₄₁	1	1	yes	characteristic
1178	C₄×Q₈	C₂³×C₄₁	1	1	yes	characteristic
1179	C₄×Q₈	C₂³×C₄₁	1	1	yes	characteristic
1180	C₄×Q₈	C₂³×C₄₁	1	1	yes	characteristic
1181	C₄×Q₈	C₂³×C₄₁	1	1	yes	characteristic
1182	C₄×Q₈	C₂³×C₄₁	1	1	yes	characteristic
1183	C₄×Q₈	C₂³×C₄₁	1	1	yes	characteristic
1184	C₄×Q₈	C₂³×C₄₁	1	1	yes	characteristic
1185	C₄×Q₈	C₂³×C₄₁	1	1	yes	characteristic
1186	C₄×Q₈	C₂³×C₄₁	1	1	yes	characteristic
1187	C₄×Q₈	C₂³×C₄₁	1	1	yes	characteristic
1188	C₄×Q₈	C₂³×C₄₁	1	1	yes	characteristic
1189	C₄×Q₈	C₂³×C₄₁	1	1	yes	characteristic
1190	C₄×Q₈	C₂³×C₄₁	1	1	yes	characteristic
1191	C₄×Q₈	C₂³×C₄₁	1	1	yes	characteristic
1192	C₄×Q₈	C₂³×C₄₁	1	1	yes	characteristic
1193	C₄×Q₈	C₂³×C₄₁	1	1	yes	characteristic
1194	C₄×D₄	—	2	1	no	—
1195	C₄×D₄	—	2	1	no	—
1196	C₄×D₄	—	2	1	no	—
1197	C₄×D₄	—	2	1	no	—
1198	C₄×D₄	—	2	1	no	—
1199	C₄×D₄	—	2	1	no	—
1200	C₄×D₄	—	2	1	no	—
1201	C₄×D₄	—	2	1	no	—
1202	C₄×D₄	—	2	1	no	—
1203	C₄×D₄	C₂³×C₄₁	1	1	yes	characteristic
1204	C₄×D₄	C₂³×C₄₁	1	1	yes	characteristic
1205	C₄×D₄	C₂³×C₄₁	1	1	yes	characteristic
1206	C₄×D₄	C₂³×C₄₁	1	1	yes	characteristic
1207	C₄×D₄	C₂³×C₄₁	1	1	yes	characteristic
1208	C₄×D₄	C₂³×C₄₁	1	1	yes	characteristic
1209	C₄×D₄	C₂³×C₄₁	1	1	yes	characteristic
1210	C₄×D₄	C₂³×C₄₁	1	1	yes	characteristic
1211	C₄×D₄	C₂³×C₄₁	1	1	yes	characteristic
1212	#117	—	2	1	no	—
1213	#117	—	2	1	no	—
1214	#117	—	2	1	no	—
1215	#117	—	2	1	no	—
1216	#117	—	2	1	no	—
1217	#117	—	2	1	no	—
1218	#117	—	2	1	no	—
1219	#117	—	2	1	no	—
1220	#117	—	2	1	no	—
1221	#117	—	2	1	no	—
1222	#117	—	2	1	no	—
1223	#117	—	2	1	no	—
1224	#117	C₂³×C₄₁	1	1	yes	characteristic
1225	#117	C₂³×C₄₁	1	1	yes	characteristic
1226	#117	C₂³×C₄₁	1	1	yes	characteristic
1227	C₂×C₄⋊C₄	—	2	1	no	—
1228	C₂×C₂²⋊C₄	—	2	1	no	—
1229	C₂×C₂²⋊C₄	—	2	1	no	—
1230	C₂×C₂²⋊C₄	—	2	1	no	—
1231	C₂×C₂²⋊C₄	—	2	1	no	—
1232	C₂×C₄²	—	2	1	no	—
1233	C₂×C₄²	C₂³×C₄₁	1	1	yes	characteristic
1234	#107	C₂³×C₄₁	1	1	yes	characteristic
1235	#107	C₂³×C₄₁	1	1	yes	characteristic
1236	#107	C₂³×C₄₁	1	1	yes	characteristic
1237	#107	C₂³×C₄₁	1	1	yes	characteristic
1238	#106	C₂³×C₄₁	1	1	yes	characteristic
1239	#106	C₂³×C₄₁	1	1	yes	characteristic
1240	#106	C₂³×C₄₁	1	1	yes	characteristic
1241	#106	C₂³×C₄₁	1	1	yes	characteristic
1242	C₄⋊C₈	C₂³×C₄₁	1	1	yes	characteristic
1243	C₄⋊C₈	C₂³×C₄₁	1	1	yes	characteristic
1244	C₄⋊C₈	C₂³×C₄₁	1	1	yes	characteristic
1245	C₄⋊C₈	C₂³×C₄₁	1	1	yes	characteristic
1246	C₄⋊C₈	C₂³×C₄₁	1	1	yes	characteristic
1247	C₄⋊C₈	C₂³×C₄₁	1	1	yes	characteristic
1248	C₄⋊C₈	C₂³×C₄₁	1	1	yes	characteristic
1249	C₄⋊C₈	C₂³×C₄₁	1	1	yes	characteristic
1250	C₄⋊C₈	C₂³×C₄₁	1	1	yes	characteristic
1251	C₄⋊C₈	C₂³×C₄₁	1	1	yes	characteristic
1252	C₄⋊C₈	C₂³×C₄₁	1	1	yes	characteristic
1253	C₄⋊C₈	C₂³×C₄₁	1	1	yes	characteristic
1254	#103	C₂³×C₄₁	1	1	yes	characteristic
1255	#103	C₂³×C₄₁	1	1	yes	characteristic
1256	#103	C₂³×C₄₁	1	1	yes	characteristic
1257	#103	C₂³×C₄₁	1	1	yes	characteristic
1258	#103	C₂³×C₄₁	1	1	yes	characteristic
1259	#103	C₂³×C₄₁	1	1	yes	characteristic
1260	#103	C₂³×C₄₁	1	1	yes	characteristic
1261	#103	C₂³×C₄₁	1	1	yes	characteristic
1262	#103	C₂³×C₄₁	1	1	yes	characteristic
1263	#103	C₂³×C₄₁	1	1	yes	characteristic
1264	#103	C₂³×C₄₁	1	1	yes	characteristic
1265	#103	C₂³×C₄₁	1	1	yes	characteristic
1266	#103	C₂³×C₄₁	1	1	yes	characteristic
1267	#103	C₂³×C₄₁	1	1	yes	characteristic
1268	#103	C₂³×C₄₁	1	1	yes	characteristic
1269	#103	C₂³×C₄₁	1	1	yes	characteristic
1270	#103	C₂³×C₄₁	1	1	yes	characteristic
1271	#103	C₂³×C₄₁	1	1	yes	characteristic
1272	#102	C₂³×C₄₁	1	1	yes	characteristic
1273	#102	C₂³×C₄₁	1	1	yes	characteristic
1274	#102	C₂³×C₄₁	1	1	yes	characteristic
1275	#102	C₂³×C₄₁	1	1	yes	characteristic
1276	#102	C₂³×C₄₁	1	1	yes	characteristic
1277	#102	C₂³×C₄₁	1	1	yes	characteristic
1278	#102	C₂³×C₄₁	1	1	yes	characteristic
1279	#102	C₂³×C₄₁	1	1	yes	characteristic
1280	#102	C₂³×C₄₁	1	1	yes	characteristic
1281	#102	C₂³×C₄₁	1	1	yes	characteristic
1282	#102	C₂³×C₄₁	1	1	yes	characteristic
1283	#102	C₂³×C₄₁	1	1	yes	characteristic
1284	#102	C₂³×C₄₁	1	1	yes	characteristic
1285	#102	C₂³×C₄₁	1	1	yes	characteristic
1286	C₂²⋊C₈	C₂³×C₄₁	1	1	yes	characteristic
1287	C₂²⋊C₈	C₂³×C₄₁	1	1	yes	characteristic
1288	C₂²⋊C₈	C₂³×C₄₁	1	1	yes	characteristic
1289	C₂²⋊C₈	C₂³×C₄₁	1	1	yes	characteristic
1290	#97	C₂³×C₄₁	1	1	yes	characteristic
1291	#97	C₂³×C₄₁	1	1	yes	characteristic
1292	#97	C₂³×C₄₁	1	1	yes	characteristic
1293	#97	C₂³×C₄₁	1	1	yes	characteristic
1294	#97	C₂³×C₄₁	1	1	yes	characteristic
1295	#97	C₂³×C₄₁	1	1	yes	characteristic
1296	C₄×C₈	C₂³×C₄₁	1	1	yes	characteristic
1297	C₄×C₈	C₂³×C₄₁	1	1	yes	characteristic
1298	C₄×C₈	C₂³×C₄₁	1	1	yes	characteristic
1299	C₄×C₈	C₂³×C₄₁	1	1	yes	characteristic
1300	C₄×C₈	C₂³×C₄₁	1	1	yes	characteristic
1301	C₄×C₈	C₂³×C₄₁	1	1	yes	characteristic
1302	C₂⁴	—	2	1	no	—
1303	#41	—	4	1	no	—
1304	#41	—	4	1	no	—
1305	C₂×Q₈	—	2	1	no	—
1306	C₂×Q₈	—	2	1	no	—
1307	C₂×Q₈	—	2	1	no	—
1308	C₂×Q₈	—	2	1	no	—
1309	C₂×Q₈	—	4	1	no	—
1310	C₂×Q₈	—	4	1	no	—
1311	C₂×Q₈	C₂×D₄×C₄₁	1	1	yes	characteristic
1312	C₂×Q₈	C₂×D₄×C₄₁	1	1	yes	characteristic
1313	C₂×Q₈	C₂×D₄×C₄₁	1	1	yes	characteristic
1314	C₂×Q₈	C₂×D₄×C₄₁	1	1	yes	characteristic
1315	C₂×Q₈	C₂⁴×C₄₁	1	1	yes	characteristic
1316	C₂×Q₈	C₂⁴×C₄₁	1	1	yes	characteristic
1317	C₂×Q₈	C₂⁴×C₄₁	1	1	yes	characteristic
1318	C₂×Q₈	C₂⁴×C₄₁	1	1	yes	characteristic
1319	C₂×Q₈	C₂⁴×C₄₁	1	1	yes	characteristic
1320	C₂×Q₈	C₂⁴×C₄₁	1	1	yes	characteristic
1321	C₂×D₄	—	2	1	no	—
1322	C₂×D₄	—	2	1	no	—
1323	C₂×D₄	—	2	1	no	—
1324	C₂×D₄	—	2	1	no	—
1325	C₂×D₄	—	2	1	no	—
1326	C₂×D₄	—	2	1	no	—
1327	C₂×D₄	—	2	1	no	—
1328	C₂×D₄	—	4	1	no	—
1329	C₂×D₄	—	4	1	no	—
1330	C₂×D₄	C₂⁴×C₄₁	1	1	yes	characteristic
1331	C₂×D₄	C₂⁴×C₄₁	1	1	yes	characteristic
1332	C₂×D₄	C₂⁴×C₄₁	1	1	yes	characteristic
1333	C₂×D₄	C₂⁴×C₄₁	1	1	yes	characteristic
1334	C₂²×C₄	—	2	1	no	—
1335	C₂²×C₄	—	2	1	no	—
1336	C₂²×C₄	—	2	1	no	—
1337	C₂²×C₄	—	2	1	no	—
1338	C₂²×C₄	—	2	1	no	—
1339	C₂²×C₄	—	2	1	no	—
1340	C₂²×C₄	—	2	1	no	—
1341	C₂²×C₄	—	2	1	no	—
1342	C₂²×C₄	—	2	1	no	—
1343	C₂²×C₄	—	2	1	no	—
1344	C₂²×C₄	—	2	1	no	—
1345	C₂²×C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1346	C₂²×C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1347	C₂²×C₄	C₂⁴×C₄₁	1	1	yes	characteristic
1348	Q₁₆	—	4	1	no	—
1349	Q₁₆	—	4	1	no	—
1350	Q₁₆	—	4	1	no	—
1351	Q₁₆	—	4	1	no	—
1352	Q₁₆	—	4	1	no	—
1353	Q₁₆	—	4	1	no	—
1354	Q₁₆	—	4	1	no	—
1355	Q₁₆	—	4	1	no	—
1356	Q₁₆	—	4	1	no	—
1357	SD₁₆	—	4	1	no	—
1358	SD₁₆	—	4	1	no	—
1359	SD₁₆	—	4	1	no	—
1360	SD₁₆	—	4	1	no	—
1361	SD₁₆	—	4	1	no	—
1362	SD₁₆	—	4	1	no	—
1363	SD₁₆	—	4	1	no	—
1364	SD₁₆	—	4	1	no	—
1365	SD₁₆	—	4	1	no	—
1366	SD₁₆	—	4	1	no	—
1367	SD₁₆	—	4	1	no	—
1368	SD₁₆	—	4	1	no	—
1369	D₈	—	4	1	no	—
1370	D₈	—	4	1	no	—
1371	D₈	—	4	1	no	—
1372	C₂×C₈	C₂⁴×C₄₁	1	1	yes	characteristic
1373	C₂×C₈	C₂⁴×C₄₁	1	1	yes	characteristic
1374	C₂×C₈	C₂⁴×C₄₁	1	1	yes	characteristic
1375	C₂×C₈	C₂⁴×C₄₁	1	1	yes	characteristic
1376	C₂×C₈	C₂⁴×C₄₁	1	1	yes	characteristic
1377	C₂×C₈	C₂⁴×C₄₁	1	1	yes	characteristic
1378	C₂×C₈	C₂⁴×C₄₁	1	1	yes	characteristic
1379	C₂×C₈	C₂⁴×C₄₁	1	1	yes	characteristic
1380	C₄⋊C₄	—	2	1	no	—
1381	C₄⋊C₄	—	2	1	no	—
1382	C₄⋊C₄	—	2	1	no	—
1383	C₄⋊C₄	—	2	1	no	—
1384	C₄⋊C₄	—	2	1	no	—
1385	C₄⋊C₄	—	2	1	no	—
1386	C₄⋊C₄	—	2	1	no	—
1387	C₄⋊C₄	—	2	1	no	—
1388	C₄⋊C₄	—	2	1	no	—
1389	C₄⋊C₄	—	2	1	no	—
1390	C₄⋊C₄	—	2	1	no	—
1391	C₄⋊C₄	—	2	1	no	—
1392	C₄⋊C₄	—	2	1	no	—
1393	C₄⋊C₄	—	2	1	no	—
1394	C₄⋊C₄	—	2	1	no	—
1395	C₄⋊C₄	—	2	1	no	—
1396	C₄⋊C₄	—	2	1	no	—
1397	C₄⋊C₄	—	2	1	no	—
1398	C₄⋊C₄	—	2	1	no	—
1399	C₄⋊C₄	—	2	1	no	—
1400	C₄⋊C₄	—	2	1	no	—
1401	C₄⋊C₄	—	2	1	no	—
1402	C₄⋊C₄	—	2	1	no	—
1403	C₄⋊C₄	—	2	1	no	—
1404	C₄⋊C₄	—	2	1	no	—
1405	C₄⋊C₄	—	2	1	no	—
1406	C₄⋊C₄	—	2	1	no	—
1407	C₄⋊C₄	—	2	1	no	—
1408	C₄⋊C₄	—	2	1	no	—
1409	C₄⋊C₄	—	2	1	no	—
1410	C₄⋊C₄	—	2	1	no	—
1411	C₄⋊C₄	—	2	1	no	—
1412	C₄⋊C₄	—	2	1	no	—
1413	C₄⋊C₄	—	2	1	no	—
1414	C₄⋊C₄	—	2	1	no	—
1415	C₄⋊C₄	—	2	1	no	—
1416	C₄⋊C₄	—	2	1	no	—
1417	C₄⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1418	C₄⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1419	C₄⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1420	C₄⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1421	C₄⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1422	C₄⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1423	C₄⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1424	C₄⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1425	C₄⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1426	C₄⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1427	C₄⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1428	C₄⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1429	C₄⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1430	C₄⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1431	C₄⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1432	C₄⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1433	C₄⋊C₄	C₂⁴×C₄₁	1	1	yes	characteristic
1434	C₄⋊C₄	C₂⁴×C₄₁	1	1	yes	characteristic
1435	C₄⋊C₄	C₂⁴×C₄₁	1	1	yes	characteristic
1436	C₄⋊C₄	C₂⁴×C₄₁	1	1	yes	characteristic
1437	C₄⋊C₄	C₂⁴×C₄₁	1	1	yes	characteristic
1438	C₄⋊C₄	C₂⁴×C₄₁	1	1	yes	characteristic
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	—	2	1	no	—
1447	C₂²⋊C₄	—	2	1	no	—
1448	C₂²⋊C₄	—	2	1	no	—
1449	C₂²⋊C₄	—	2	1	no	—
1450	C₂²⋊C₄	—	2	1	no	—
1451	C₂²⋊C₄	—	2	1	no	—
1452	C₂²⋊C₄	—	2	1	no	—
1453	C₂²⋊C₄	—	2	1	no	—
1454	C₂²⋊C₄	—	2	1	no	—
1455	C₂²⋊C₄	—	2	1	no	—
1456	C₂²⋊C₄	—	2	1	no	—
1457	C₂²⋊C₄	—	2	1	no	—
1458	C₂²⋊C₄	—	2	1	no	—
1459	C₂²⋊C₄	—	2	1	no	—
1460	C₂²⋊C₄	—	2	1	no	—
1461	C₂²⋊C₄	—	2	1	no	—
1462	C₂²⋊C₄	—	2	1	no	—
1463	C₂²⋊C₄	—	2	1	no	—
1464	C₂²⋊C₄	—	2	1	no	—
1465	C₂²⋊C₄	—	2	1	no	—
1466	C₂²⋊C₄	—	2	1	no	—
1467	C₂²⋊C₄	—	2	1	no	—
1468	C₂²⋊C₄	—	2	1	no	—
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	C₂×D₄×C₄₁	1	1	yes	characteristic
1476	C₂²⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1477	C₂²⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1478	C₂²⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1479	C₄²	—	2	1	no	—
1480	C₄²	—	2	1	no	—
1481	C₄²	—	2	1	no	—
1482	C₄²	—	2	1	no	—
1483	C₄²	—	2	1	no	—
1484	C₄²	—	2	1	no	—
1485	C₄²	—	2	1	no	—
1486	C₄²	—	2	1	no	—
1487	C₄²	—	2	1	no	—
1488	C₄²	—	2	1	no	—
1489	C₄²	—	2	1	no	—
1490	C₄²	—	2	1	no	—
1491	C₄²	—	2	1	no	—
1492	C₄²	—	2	1	no	—
1493	C₄²	—	2	1	no	—
1494	C₄²	—	2	1	no	—
1495	C₄²	C₂×D₄×C₄₁	1	1	yes	characteristic
1496	C₄²	C₂×D₄×C₄₁	1	1	yes	characteristic
1497	C₄²	C₂⁴×C₄₁	1	1	yes	characteristic
1498	C₄²	C₂⁴×C₄₁	1	1	yes	characteristic
1499	C₄²	C₂⁴×C₄₁	1	1	yes	characteristic
1500	C₄²	C₂⁴×C₄₁	1	1	yes	characteristic
1501	C₄²	C₂⁴×C₄₁	1	1	yes	characteristic
1502	C₄²	C₂⁴×C₄₁	1	1	yes	characteristic
1503	C₂³	—	2	1	no	—
1504	C₂³	—	2	1	no	—
1505	C₂³	—	2	1	no	—
1506	C₂³	—	2	1	no	—
1507	C₂³	—	4	2	no	—
1508	C₂³	—	8	1	no	—
1509	C₂³	—	8	1	no	—
1510	C₂³	C₂²×D₄×C₄₁	1	1	yes	characteristic
1511	Q₈	—	2	1	no	—
1512	Q₈	—	2	1	no	—
1513	Q₈	—	2	1	no	—
1514	Q₈	—	2	1	no	—
1515	Q₈	—	2	1	no	—
1516	Q₈	—	2	1	no	—
1517	Q₈	—	2	1	no	—
1518	Q₈	—	2	1	no	—
1519	Q₈	—	2	1	no	—
1520	Q₈	—	2	1	no	—
1521	Q₈	—	2	1	no	—
1522	Q₈	—	2	1	no	—
1523	Q₈	—	4	1	no	—
1524	Q₈	—	4	1	no	—
1525	Q₈	—	4	1	no	—
1526	Q₈	—	4	1	no	—
1527	Q₈	—	4	2	no	—
1528	Q₈	—	8	1	no	—
1529	Q₈	—	8	1	no	—
1530	Q₈	—	8	1	no	—
1531	D₄	—	2	1	no	—
1532	D₄	—	2	1	no	—
1533	D₄	—	2	1	no	—
1534	D₄	—	2	1	no	—
1535	D₄	—	2	1	no	—
1536	D₄	—	2	1	no	—
1537	D₄	—	2	1	no	—
1538	D₄	—	2	1	no	—
1539	D₄	—	4	2	no	—
1540	D₄	—	4	2	no	—
1541	D₄	—	8	1	no	—
1542	D₄	—	8	1	no	—
1543	D₄	—	8	1	no	—
1544	D₄	—	8	1	no	—
1545	D₄	—	8	1	no	—
1546	C₂×C₄	—	2	1	no	—
1547	C₂×C₄	—	2	1	no	—
1548	C₂×C₄	—	2	1	no	—
1549	C₂×C₄	—	2	1	no	—
1550	C₂×C₄	—	2	1	no	—
1551	C₂×C₄	—	2	1	no	—
1552	C₂×C₄	—	2	1	no	—
1553	C₂×C₄	—	2	1	no	—
1554	C₂×C₄	—	2	1	no	—
1555	C₂×C₄	—	2	1	no	—
1556	C₂×C₄	—	2	1	no	—
1557	C₂×C₄	—	2	1	no	—
1558	C₂×C₄	—	2	1	no	—
1559	C₂×C₄	—	2	1	no	—
1560	C₂×C₄	—	4	1	no	—
1561	C₂×C₄	—	4	1	no	—
1562	C₂×C₄	—	4	2	no	—
1563	C₂×C₄	—	4	2	no	—
1564	C₂×C₄	—	4	2	no	—
1565	C₂×C₄	—	8	1	no	—
1566	C₂×C₄	—	8	1	no	—
1567	C₂×C₄	—	8	1	no	—
1568	C₂×C₄	—	8	1	no	—
1569	C₂×C₄	—	8	1	no	—
1570	C₂×C₄	—	8	1	no	—
1571	C₂×C₄	—	8	1	no	—
1572	C₂×C₄	—	8	1	no	—
1573	C₂×C₄	C₂²×D₄×C₄₁	1	1	yes	characteristic
1574	C₂×C₄	C₂²×D₄×C₄₁	1	1	yes	characteristic
1575	C₂×C₄	C₂²×D₄×C₄₁	1	1	yes	characteristic
1576	C₂×C₄	C₂²×D₄×C₄₁	1	1	yes	characteristic
1577	C₂×C₄	C₂²×D₄×C₄₁	1	1	yes	characteristic
1578	C₂×C₄	C₂²×D₄×C₄₁	1	1	yes	characteristic
1579	C₂×C₄	C₂²×D₄×C₄₁	1	1	yes	characteristic
1580	C₂×C₄	C₂²×D₄×C₄₁	1	1	yes	characteristic
1581	C₂×C₄	C₂²×D₄×C₄₁	1	1	yes	characteristic
1582	C₂×C₄	C₂²×D₄×C₄₁	1	1	yes	characteristic
1583	C₂×C₄	C₂²×D₄×C₄₁	1	1	yes	characteristic
1584	C₂×C₄	C₂²×D₄×C₄₁	1	1	yes	characteristic
1585	C₂×C₄	C₂²×D₄×C₄₁	1	1	yes	characteristic
1586	C₂×C₄	C₂⁵×C₄₁	1	1	yes	characteristic
1587	C₈	—	2	1	no	—
1588	C₈	—	2	1	no	—
1589	C₈	—	2	1	no	—
1590	C₈	—	2	1	no	—
1591	C₈	—	2	1	no	—
1592	C₈	—	2	1	no	—
1593	C₈	—	2	1	no	—
1594	C₈	—	2	1	no	—
1595	C₂²	—	2	1	no	—
1596	C₂²	—	2	1	no	—
1597	C₂²	—	2	1	no	—
1598	C₂²	—	4	1	no	—
1599	C₂²	—	4	1	no	—
1600	C₂²	—	4	1	no	—
1601	C₂²	—	4	1	no	—
1602	C₂²	—	4	1	no	—
1603	C₂²	—	4	1	no	—
1604	C₂²	—	4	1	no	—
1605	C₂²	—	4	1	no	—
1606	C₂²	—	4	1	no	—
1607	C₂²	—	4	1	no	—
1608	C₂²	—	4	1	no	—
1609	C₂²	—	4	1	no	—
1610	C₂²	—	16	2	no	—
1611	C₂²	C₂³×D₄×C₄₁	1	1	yes	characteristic
1612	C₄	—	2	1	no	—
1613	C₄	—	2	1	no	—
1614	C₄	—	2	1	no	—
1615	C₄	—	2	1	no	—
1616	C₄	—	2	1	no	—
1617	C₄	—	2	1	no	—
1618	C₄	—	2	1	no	—
1619	C₄	—	2	1	no	—
1620	C₄	—	2	1	no	—
1621	C₄	—	2	1	no	—
1622	C₄	—	2	1	no	—
1623	C₄	—	2	1	no	—
1624	C₄	—	2	1	no	—
1625	C₄	—	4	1	no	—
1626	C₄	—	4	1	no	—
1627	C₄	—	4	1	no	—
1628	C₄	—	4	1	no	—
1629	C₄	—	4	1	no	—
1630	C₄	—	4	1	no	—
1631	C₄	—	4	1	no	—
1632	C₄	—	4	1	no	—
1633	C₄	—	4	1	no	—
1634	C₄	—	4	1	no	—
1635	C₄	—	4	1	no	—
1636	C₄	—	4	1	no	—
1637	C₄	C₄₁×#585	1	1	yes	characteristic
1638	C₄	C₄₁×#585	1	1	yes	characteristic
1639	C₂	—	4	1	no	—
1640	C₂	—	8	1	no	—
1641	C₂	—	8	1	no	—
1642	C₂	—	8	1	no	—
1643	C₂	—	8	1	no	—
1644	C₂	C₄₁×#3487	1	1	yes	characteristic
1645	C₂	C₄₁×#3584	1	1	yes	characteristic
1646	C₂	C₄₁×#3586	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₄₁	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₄₁
prime radical	C₄₁×#3224	C₂
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×#3555	C₂	semidirect
2. C₄₁×#3510	C₂	semidirect
3. C₄₁×#3402	C₂	semidirect
4. C₄₁×#3402	C₂	semidirect
5. C₄₁×#3401	C₂	semidirect
6. C₄₁×#3401	C₂	semidirect
7. C₄₁×#3400	C₂	semidirect
8. C₄₁×#3398	C₂	semidirect
9. C₄₁×#3394	C₂	semidirect
10. C₄₁×#3393	C₂	semidirect
11. C₄₁×#3377	C₂	semidirect
12. C₄₁×#3376	C₂	semidirect
13. C₄₁×#3375	C₂	semidirect
14. C₄₁×#3371	C₂	semidirect
15. C₄₁×#3370	C₂	semidirect
16. C₄₁×#3369	C₂	semidirect
17. C₄₁×#3365	C₂	semidirect
18. C₄₁×#3364	C₂	semidirect
19. C₄₁×#3225	C₂	semidirect
21. C₄₁×#3223	C₂	semidirect
22. C₄₁×#3222	C₂	semidirect
23. C₄₁×#3215	C₂	semidirect
24. C₄₁×#3211	C₂	semidirect
25. C₄₁×#3127	C₂	semidirect
26. C₄₁×#3123	C₂	semidirect
27. C₄₁×#3121	C₂	semidirect
28. C₄₁×#3118	C₂	semidirect
29. C₄₁×#3111	C₂	semidirect
30. C₄₁×#3107	C₂	semidirect
31. C₄₁×#2985	C₂	semidirect
38. Q₈²×C₄₁	C₂²	semidirect
39. C₄₁×#557	C₂²	semidirect
40. C₄₁×#557	C₂²	semidirect
41. C₄₁×#557	C₂²	semidirect
47. C₄₁×#556	C₂²	semidirect
48. C₄₁×#556	C₂²	semidirect
49. C₄₁×#556	C₂²	semidirect
50. C₄₁×#554	C₂²	semidirect
80. C₄₁×#497	C₂²	semidirect
81. C₄₁×#497	C₂²	semidirect
86. C₄₁×#495	C₂²	semidirect
87. C₄₁×#494	C₂²	semidirect
89. C₄₁×#491	C₂²	semidirect
94. C₄₁×#489	C₂²	semidirect
98. C₄₁×#488	C₂²	semidirect
99. C₄₁×#487	C₂²	semidirect
105. C₄₁×#479	C₂²	semidirect
106. C₄₁×#479	C₂²	semidirect
107. C₄₁×#479	C₂²	semidirect
110. C₄₁×#478	C₂²	semidirect
111. C₄₁×#477	C₂²	semidirect
113. C₄₁×#475	C₂²	semidirect
114. C₄₁×#475	C₂²	semidirect
116. C₄₁×#474	C₂²	semidirect
126. C₄₁×#464	C₂²	semidirect
127. C₄₁×#464	C₂²	semidirect
128. C₄₁×#464	C₂²	semidirect
129. C₄₁×#464	C₂²	semidirect
130. C₄₁×#464	C₂²	semidirect
131. C₄₁×#464	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×#462	C₂²	semidirect
144. C₄₁×#462	C₂²	semidirect
147. C₄₁×#461	C₂²	semidirect
148. C₄₁×#461	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
174. C₄₁×#442	C₂²	semidirect
175. C₄₁×#441	C₂²	semidirect
176. C₄₁×#441	C₂²	semidirect
177. C₄₁×#441	C₂²	semidirect
178. C₄₁×#441	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
187. C₄×Q₁₆×C₄₁	C₂²	semidirect
188. C₄×Q₁₆×C₄₁	C₂²	semidirect
189. C₄×Q₁₆×C₄₁	C₂²	semidirect
193. C₄×SD₁₆×C₄₁	C₂²	semidirect
194. C₄×SD₁₆×C₄₁	C₂²	semidirect
195. C₄×SD₁₆×C₄₁	C₂²	semidirect
771. #61925	C₄₁	direct (N × H)
816. #3555	C₂×C₄₁	semidirect
817. #3510	C₂×C₄₁	semidirect
818. #3402	C₂×C₄₁	semidirect
819. #3402	C₂×C₄₁	semidirect
820. #3401	C₂×C₄₁	semidirect
821. #3401	C₂×C₄₁	semidirect
822. #3400	C₂×C₄₁	semidirect
823. #3398	C₂×C₄₁	semidirect
824. #3394	C₂×C₄₁	semidirect
825. #3393	C₂×C₄₁	semidirect
826. #3377	C₂×C₄₁	semidirect
827. #3376	C₂×C₄₁	semidirect
828. #3375	C₂×C₄₁	semidirect
829. #3371	C₂×C₄₁	semidirect
830. #3370	C₂×C₄₁	semidirect
831. #3369	C₂×C₄₁	semidirect
832. #3365	C₂×C₄₁	semidirect
833. #3364	C₂×C₄₁	semidirect
834. #3225	C₂×C₄₁	semidirect
836. #3223	C₂×C₄₁	semidirect
837. #3222	C₂×C₄₁	semidirect
838. #3215	C₂×C₄₁	semidirect
839. #3211	C₂×C₄₁	semidirect
840. #3127	C₂×C₄₁	semidirect
841. #3123	C₂×C₄₁	semidirect
842. #3121	C₂×C₄₁	semidirect
843. #3118	C₂×C₄₁	semidirect
844. #3111	C₂×C₄₁	semidirect
845. #3107	C₂×C₄₁	semidirect
846. #2985	C₂×C₄₁	semidirect
861. Q₈²	C₂²×C₄₁	semidirect
862. #557	C₂²×C₄₁	semidirect
863. #557	C₂²×C₄₁	semidirect
864. #557	C₂²×C₄₁	semidirect
870. #556	C₂²×C₄₁	semidirect
871. #556	C₂²×C₄₁	semidirect
872. #556	C₂²×C₄₁	semidirect
873. #554	C₂²×C₄₁	semidirect
903. #497	C₂²×C₄₁	semidirect
904. #497	C₂²×C₄₁	semidirect
909. #495	C₂²×C₄₁	semidirect
910. #494	C₂²×C₄₁	semidirect
912. #491	C₂²×C₄₁	semidirect
917. #489	C₂²×C₄₁	semidirect
921. #488	C₂²×C₄₁	semidirect
922. #487	C₂²×C₄₁	semidirect
928. #479	C₂²×C₄₁	semidirect
929. #479	C₂²×C₄₁	semidirect
930. #479	C₂²×C₄₁	semidirect
933. #478	C₂²×C₄₁	semidirect
934. #477	C₂²×C₄₁	semidirect
936. #475	C₂²×C₄₁	semidirect
937. #475	C₂²×C₄₁	semidirect
939. #474	C₂²×C₄₁	semidirect
949. #464	C₂²×C₄₁	semidirect
950. #464	C₂²×C₄₁	semidirect
951. #464	C₂²×C₄₁	semidirect
952. #464	C₂²×C₄₁	semidirect
953. #464	C₂²×C₄₁	semidirect
954. #464	C₂²×C₄₁	semidirect
960. #463	C₂²×C₄₁	semidirect
961. #463	C₂²×C₄₁	semidirect
962. #462	C₂²×C₄₁	semidirect
963. #462	C₂²×C₄₁	semidirect
964. #462	C₂²×C₄₁	semidirect
965. #462	C₂²×C₄₁	semidirect
966. #462	C₂²×C₄₁	semidirect
967. #462	C₂²×C₄₁	semidirect
970. #461	C₂²×C₄₁	semidirect
971. #461	C₂²×C₄₁	semidirect
988. #446	C₂²×C₄₁	semidirect
989. #446	C₂²×C₄₁	semidirect
990. #446	C₂²×C₄₁	semidirect
991. #446	C₂²×C₄₁	semidirect
992. #446	C₂²×C₄₁	semidirect
993. #446	C₂²×C₄₁	semidirect
994. C₈×Q₈	C₂²×C₄₁	semidirect
995. C₈×Q₈	C₂²×C₄₁	semidirect
997. #442	C₂²×C₄₁	semidirect
998. #441	C₂²×C₄₁	semidirect
999. #441	C₂²×C₄₁	semidirect
1000. #441	C₂²×C₄₁	semidirect
1001. #441	C₂²×C₄₁	semidirect
1005. #440	C₂²×C₄₁	semidirect
1006. #440	C₂²×C₄₁	semidirect
1007. #440	C₂²×C₄₁	semidirect
1008. C₄×Q₁₆	C₂²×C₄₁	semidirect
1009. C₄×Q₁₆	C₂²×C₄₁	semidirect
1010. C₄×Q₁₆	C₂²×C₄₁	semidirect
1011. C₄×Q₁₆	C₂²×C₄₁	semidirect
1012. C₄×Q₁₆	C₂²×C₄₁	semidirect
1016. C₄×SD₁₆	C₂²×C₄₁	semidirect
1017. C₄×SD₁₆	C₂²×C₄₁	semidirect
1018. C₄×SD₁₆	C₂²×C₄₁	semidirect
1026. C₄₁	#61925	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×#3555	2
C₄₁×#3510	2
C₄₁×#3402	2
C₄₁×#3401	2
C₄₁×#3400	2
C₄₁×#3398	2
C₄₁×#3394	2
C₄₁×#3393	2
C₄₁×#3377	2
C₄₁×#3376	2
C₄₁×#3375	2
C₄₁×#3371	2
C₄₁×#3370	2
C₄₁×#3369	2
C₄₁×#3365	2
C₄₁×#3364	2
C₄₁×#3225	2
C₄₁×#3224	2
C₄₁×#3223	2
C₄₁×#3222	2
C₄₁×#3215	2
C₄₁×#3211	2
C₄₁×#3127	2
C₄₁×#3123	2
C₄₁×#3121	2
C₄₁×#3118	2
C₄₁×#3111	2
C₄₁×#3107	2
C₄₁×#2985	2
#61925	41

Subgroups — C41×#61925 #23838126

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₄₁×#61925 #23838126