Subgroups — C₄₁×#60996 #23837197

Order 10496.

1686 conjugacy classes of subgroups.

The subgroup lattice has 1666 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₄₁×#3510	C₂	1	1	yes	maximal, characteristic, complemented
2	C₄₁×#3461	C₂	1	1	yes	maximal, characteristic, complemented
3	C₄₁×#3256	C₂	1	1	yes	maximal, characteristic, complemented
4	C₄₁×#3252	C₂	1	1	yes	maximal, characteristic, complemented
5	C₄₁×#3250	C₂	1	1	yes	maximal, characteristic, complemented
6	C₄₁×#3248	C₂	1	1	yes	maximal, characteristic, complemented
7	C₄₁×#3244	C₂	1	1	yes	maximal, characteristic, complemented
8	C₄₁×#3243	C₂	1	1	yes	maximal, characteristic, complemented
9	C₄₁×#3240	C₂	1	1	yes	maximal, characteristic, complemented
10	C₄₁×#3231	C₂	1	1	yes	maximal, characteristic, complemented
11	C₄₁×#3225	C₂	1	1	yes	maximal, characteristic, complemented
12	C₄₁×#3225	C₂	1	1	yes	maximal, characteristic, complemented
13	C₄₁×#3215	C₂	1	1	yes	maximal, characteristic, complemented
14	C₄₁×#3211	C₂	1	1	yes	maximal, characteristic, complemented
15	C₄₁×#3202	C₂	1	1	yes	maximal, characteristic, complemented
16	C₄₁×#3201	C₂	1	1	yes	maximal, characteristic, complemented
17	C₄₁×#3200	C₂	1	1	yes	maximal, characteristic, complemented
18	C₄₁×#3198	C₂	1	1	yes	maximal, characteristic
19	C₄₁×#3178	C₂	1	1	yes	maximal, characteristic, complemented
20	C₄₁×#3178	C₂	1	1	yes	maximal, characteristic, complemented
21	C₄₁×#3175	C₂	1	1	yes	maximal, characteristic, complemented
22	C₄₁×#3173	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄₁×#3127	C₂	1	1	yes	maximal, characteristic, complemented
24	C₄₁×#3123	C₂	1	1	yes	maximal, characteristic, complemented
25	C₄₁×#3121	C₂	1	1	yes	maximal, characteristic, complemented
26	C₄₁×#3118	C₂	1	1	yes	maximal, characteristic, complemented
27	C₄₁×#3117	C₂	1	1	yes	maximal, characteristic, complemented
28	C₄₁×#3111	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄₁×#3108	C₂	1	1	yes	maximal, characteristic, complemented
30	C₄₁×#3102	C₂	1	1	yes	maximal, characteristic, complemented
31	C₄₁×#2925	C₂	1	1	yes	maximal, characteristic, complemented
32	C₄₁×#559	—	2	1	no	—
33	C₄₁×#559	—	2	1	no	—
34	C₄₁×#556	—	2	1	no	—
35	C₄₁×#556	—	2	1	no	—
36	C₄₁×#551	—	2	1	no	—
37	C₄₁×#551	—	2	1	no	—
38	C₄₁×#551	—	2	1	no	—
39	C₄₁×#551	—	2	1	no	—
40	C₄₁×#544	C₂²	1	1	yes	characteristic, complemented
41	C₄₁×#542	—	2	1	no	—
42	C₄₁×#542	C₂²	1	1	yes	characteristic
43	C₄₁×#542	C₂²	1	1	yes	characteristic
44	C₄₁×#542	C₂²	1	1	yes	characteristic
45	C₄₁×#542	C₂²	1	1	yes	characteristic
46	C₄₁×#542	C₂²	1	1	yes	characteristic
47	C₄₁×#542	C₂²	1	1	yes	characteristic, complemented
48	C₄₁×#541	—	2	1	no	—
49	C₄₁×#541	C₂²	1	1	yes	characteristic
50	C₄₁×#541	C₂²	1	1	yes	characteristic, complemented
51	C₄₁×#539	—	2	1	no	—
52	C₄₁×#539	—	2	1	no	—
53	C₄₁×#537	C₂²	1	1	yes	characteristic
54	C₄₁×#536	C₂²	1	1	yes	characteristic
55	C₄₁×#536	C₂²	1	1	yes	characteristic
56	C₄₁×#536	C₂²	1	1	yes	characteristic, complemented
57	C₄₁×#535	C₂²	1	1	yes	characteristic
58	C₄₁×#533	—	2	1	no	—
59	C₄₁×#533	C₂²	1	1	yes	characteristic
60	C₄₁×#533	C₂²	1	1	yes	characteristic
61	C₄₁×#533	C₂²	1	1	yes	characteristic, complemented
62	C₄₁×#529	—	2	1	no	—
63	C₄₁×#529	—	2	1	no	—
64	C₄₁×#529	—	2	1	no	—
65	C₄₁×#529	C₂²	1	1	yes	characteristic
66	C₄₁×#529	C₂²	1	1	yes	characteristic
67	C₄₁×#529	C₂²	1	1	yes	characteristic
68	C₄₁×#529	C₂²	1	1	yes	characteristic
69	C₄₁×#529	C₂²	1	1	yes	characteristic
70	C₄₁×#529	C₂²	1	1	yes	characteristic, complemented
71	C₂×#124×C₄₁	C₂²	1	1	yes	characteristic
72	C₄₁×#519	C₂²	1	1	yes	characteristic
73	C₄₁×#518	C₂²	1	1	yes	characteristic
74	C₄×#41×C₄₁	C₂²	1	1	yes	characteristic
75	C₄×#41×C₄₁	C₂²	1	1	yes	characteristic, complemented
76	C₂×C₄×Q₈×C₄₁	C₂²	1	1	yes	characteristic, complemented
77	C₄₁×#501	C₂²	1	1	yes	characteristic, complemented
78	C₄₁×#501	C₂²	1	1	yes	characteristic, complemented
79	C₄₁×#500	C₂²	1	1	yes	characteristic, complemented
80	C₄₁×#498	C₂²	1	1	yes	characteristic, complemented
81	C₄₁×#497	C₂²	1	1	yes	characteristic
82	C₄₁×#497	C₂²	1	1	yes	characteristic
83	C₄₁×#495	C₂²	1	1	yes	characteristic
84	C₄₁×#495	C₂²	1	1	yes	characteristic
85	C₄₁×#489	C₂²	1	1	yes	characteristic
86	C₄₁×#489	C₂²	1	1	yes	characteristic
87	C₄₁×#489	C₂²	1	1	yes	characteristic, complemented
88	C₄₁×#489	C₂²	1	1	yes	characteristic, complemented
89	C₄₁×#488	C₂²	1	1	yes	characteristic
90	C₄₁×#488	C₂²	1	1	yes	characteristic
91	C₄₁×#487	C₂²	1	1	yes	characteristic, complemented
92	C₄₁×#487	C₂²	1	1	yes	characteristic, complemented
93	C₄₁×#485	C₂²	1	1	yes	characteristic
94	C₄₁×#485	C₂²	1	1	yes	characteristic
95	C₄₁×#485	C₂²	1	1	yes	characteristic
96	C₄₁×#485	C₂²	1	1	yes	characteristic
97	C₄₁×#485	C₂²	1	1	yes	characteristic
98	C₄₁×#485	C₂²	1	1	yes	characteristic
99	C₄₁×#485	C₂²	1	1	yes	characteristic, complemented
100	C₄₁×#485	C₂²	1	1	yes	characteristic, complemented
101	C₄₁×#484	C₂²	1	1	yes	characteristic, complemented
102	C₄₁×#483	C₂²	1	1	yes	characteristic, complemented
103	C₄₁×#482	C₂²	1	1	yes	characteristic
104	C₄₁×#482	C₂²	1	1	yes	characteristic
105	C₄₁×#482	C₂²	1	1	yes	characteristic
106	C₄₁×#482	C₂²	1	1	yes	characteristic
107	C₄₁×#481	C₂²	1	1	yes	characteristic
108	C₄₁×#480	C₂²	1	1	yes	characteristic
109	C₄₁×#479	C₂²	1	1	yes	characteristic, complemented
110	C₄₁×#479	C₂²	1	1	yes	characteristic, complemented
111	C₄₁×#479	C₂²	1	1	yes	characteristic, complemented
112	C₄₁×#479	C₂²	1	1	yes	characteristic, complemented
113	C₄₁×#479	C₂²	1	1	yes	characteristic, complemented
114	C₄₁×#479	C₂²	1	1	yes	characteristic, complemented
115	C₄₁×#479	C₂²	1	1	yes	characteristic, complemented
116	C₄₁×#479	C₂²	1	1	yes	characteristic, complemented
117	C₄₁×#478	C₂²	1	1	yes	characteristic
118	C₄₁×#478	C₂²	1	1	yes	characteristic
119	C₄₁×#478	C₂²	1	1	yes	characteristic, complemented
120	C₄₁×#478	C₂²	1	1	yes	characteristic, complemented
121	C₄₁×#477	C₂²	1	1	yes	characteristic, complemented
122	C₄₁×#476	C₂²	1	1	yes	characteristic
123	C₄₁×#475	C₂²	1	1	yes	characteristic, complemented
124	C₄₁×#474	C₂²	1	1	yes	characteristic
125	C₄₁×#470	C₂²	1	1	yes	characteristic, complemented
126	C₄₁×#470	C₂²	1	1	yes	characteristic, complemented
127	C₄₁×#470	C₂²	1	1	yes	characteristic, complemented
128	C₄₁×#469	C₂²	1	1	yes	characteristic
129	C₄₁×#468	C₂²	1	1	yes	characteristic
130	C₄₁×#468	C₂²	1	1	yes	characteristic
131	C₄₁×#468	C₂²	1	1	yes	characteristic
132	C₄₁×#468	C₂²	1	1	yes	characteristic, complemented
133	C₄₁×#467	C₂²	1	1	yes	characteristic, complemented
134	C₄₁×#467	C₂²	1	1	yes	characteristic, complemented
135	C₄₁×#467	C₂²	1	1	yes	characteristic, complemented
136	C₄₁×#466	C₂²	1	1	yes	characteristic
137	C₄₁×#465	C₂²	1	1	yes	characteristic
138	C₄₁×#465	C₂²	1	1	yes	characteristic
139	C₄₁×#465	C₂²	1	1	yes	characteristic
140	C₄₁×#465	C₂²	1	1	yes	characteristic, complemented
141	C₄₁×#464	C₂²	1	1	yes	characteristic
142	C₄₁×#464	C₂²	1	1	yes	characteristic
143	C₄₁×#464	C₂²	1	1	yes	characteristic
144	C₄₁×#464	C₂²	1	1	yes	characteristic
145	C₄₁×#464	C₂²	1	1	yes	characteristic
146	C₄₁×#464	C₂²	1	1	yes	characteristic
147	C₄₁×#464	C₂²	1	1	yes	characteristic, complemented
148	C₄₁×#464	C₂²	1	1	yes	characteristic, complemented
149	C₄₁×#463	C₂²	1	1	yes	characteristic
150	C₄₁×#463	C₂²	1	1	yes	characteristic
151	C₄₁×#463	C₂²	1	1	yes	characteristic
152	C₄₁×#463	C₂²	1	1	yes	characteristic
153	C₄₁×#462	C₂²	1	1	yes	characteristic, complemented
154	C₄₁×#462	C₂²	1	1	yes	characteristic, complemented
155	C₄₁×#461	C₂²	1	1	yes	characteristic
156	C₄₁×#461	C₂²	1	1	yes	characteristic
157	C₄₁×#452	C₂²	1	1	yes	characteristic, complemented
158	C₄₁×#452	C₂²	1	1	yes	characteristic, complemented
159	C₄₁×#451	C₂²	1	1	yes	characteristic
160	C₄₁×#451	C₂²	1	1	yes	characteristic
161	C₄₁×#451	C₂²	1	1	yes	characteristic
162	C₄₁×#451	C₂²	1	1	yes	characteristic, complemented
163	C₄₁×#451	C₂²	1	1	yes	characteristic, complemented
164	C₄₁×#450	C₂²	1	1	yes	characteristic
165	C₄₁×#450	C₂²	1	1	yes	characteristic
166	C₄₁×#450	C₂²	1	1	yes	characteristic
167	C₄₁×#449	C₂²	1	1	yes	characteristic
168	C₄₁×#449	C₂²	1	1	yes	characteristic
169	C₄₁×#448	C₂²	1	1	yes	characteristic
170	C₄₁×#448	C₂²	1	1	yes	characteristic
171	C₄₁×#448	C₂²	1	1	yes	characteristic
172	C₄₁×#447	C₂²	1	1	yes	characteristic
173	C₄₁×#442	C₂²	1	1	yes	characteristic
174	C₄₁×#441	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×#440	C₂²	1	1	yes	characteristic
178	C₄₁×#440	C₂²	1	1	yes	characteristic
179	C₄₁×#440	C₂²	1	1	yes	characteristic
180	C₄₁×#440	C₂²	1	1	yes	characteristic, complemented
181	C₄×Q₁₆×C₄₁	C₂²	1	1	yes	characteristic, complemented
182	C₄×Q₁₆×C₄₁	C₂²	1	1	yes	characteristic, complemented
183	C₄×Q₁₆×C₄₁	C₂²	1	1	yes	characteristic, complemented
184	C₄×SD₁₆×C₄₁	C₂²	1	1	yes	characteristic
185	C₄×SD₁₆×C₄₁	C₂²	1	1	yes	characteristic
186	C₄×SD₁₆×C₄₁	C₂²	1	1	yes	characteristic
187	C₄×SD₁₆×C₄₁	C₂²	1	1	yes	characteristic, complemented
188	C₄×D₈×C₄₁	C₂²	1	1	yes	characteristic
189	C₄₁×#433	C₂²	1	1	yes	characteristic
190	C₄₁×#433	C₂²	1	1	yes	characteristic
191	C₄₁×#433	C₂²	1	1	yes	characteristic, complemented
192	C₄₁×#433	C₂²	1	1	yes	characteristic, complemented
193	C₄₁×#432	C₂²	1	1	yes	characteristic
194	C₄₁×#432	C₂²	1	1	yes	characteristic, complemented
195	C₄₁×#431	C₂²	1	1	yes	characteristic
196	C₄₁×#431	C₂²	1	1	yes	characteristic, complemented
197	C₄₁×#423	C₂²	1	1	yes	characteristic, complemented
198	C₂×C₄⋊C₈×C₄₁	C₂²	1	1	yes	characteristic, complemented
199	C₄₁×#408	C₂²	1	1	yes	characteristic
200	C₄₁×#408	C₂²	1	1	yes	characteristic
201	C₄₁×#405	C₂²	1	1	yes	characteristic, complemented
202	C₄₁×#405	C₂²	1	1	yes	characteristic, complemented
203	C₂×#41×C₄₁	C₂³	1	1	yes	characteristic
204	C₂×#41×C₄₁	C₂³	1	1	yes	characteristic
205	C₂²×Q₈×C₄₁	C₂³	1	1	yes	characteristic
206	C₂²×Q₈×C₄₁	C₂³	1	1	yes	characteristic
207	C₂²×D₄×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×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×D₈×C₄₁	C₂³	1	1	yes	characteristic
223	C₂×D₈×C₄₁	C₂³	1	1	yes	characteristic
224	C₂×M₁₆×C₄₁	C₂³	1	1	yes	characteristic
225	C₂×M₁₆×C₄₁	C₂³	1	1	yes	characteristic
226	C₂²×C₈×C₄₁	C₂³	1	1	yes	characteristic
227	C₂²×C₈×C₄₁	C₂³	1	1	yes	characteristic
228	C₄⋊Q₈×C₄₁	—	2	1	no	—
229	C₄⋊Q₈×C₄₁	—	2	1	no	—
230	C₄⋊Q₈×C₄₁	—	2	1	no	—
231	C₄⋊Q₈×C₄₁	C₂³	1	1	yes	characteristic
232	C₄⋊Q₈×C₄₁	C₂³	1	1	yes	characteristic
233	C₄⋊Q₈×C₄₁	C₂³	1	1	yes	characteristic
234	C₄⋊Q₈×C₄₁	C₂³	1	1	yes	characteristic
235	C₄⋊Q₈×C₄₁	C₂³	1	1	yes	characteristic
236	C₄⋊Q₈×C₄₁	C₂³	1	1	yes	characteristic
237	#127×C₄₁	—	2	1	no	—
238	#126×C₄₁	—	2	1	no	—
239	#126×C₄₁	—	2	1	no	—
240	#126×C₄₁	—	2	1	no	—
241	#126×C₄₁	—	2	1	no	—
242	#126×C₄₁	—	2	1	no	—
243	#126×C₄₁	—	2	1	no	—
244	#126×C₄₁	—	2	1	no	—
245	#126×C₄₁	—	2	1	no	—
246	#126×C₄₁	—	2	1	no	—
247	#126×C₄₁	—	2	1	no	—
248	#126×C₄₁	—	2	1	no	—
249	#126×C₄₁	—	2	1	no	—
250	#126×C₄₁	—	2	1	no	—
251	#126×C₄₁	—	2	1	no	—
252	#126×C₄₁	—	2	1	no	—
253	#126×C₄₁	—	2	1	no	—
254	#125×C₄₁	—	2	1	no	—
255	#125×C₄₁	—	2	1	no	—
256	#125×C₄₁	—	2	1	no	—
257	#125×C₄₁	—	2	1	no	—
258	#125×C₄₁	—	2	1	no	—
259	#125×C₄₁	—	2	1	no	—
260	#125×C₄₁	—	2	1	no	—
261	#125×C₄₁	C₂³	1	1	yes	characteristic
262	#125×C₄₁	C₂³	1	1	yes	characteristic
263	#125×C₄₁	C₂³	1	1	yes	characteristic
264	#125×C₄₁	C₂³	1	1	yes	characteristic
265	#124×C₄₁	—	2	1	no	—
266	#124×C₄₁	—	2	1	no	—
267	#124×C₄₁	—	2	1	no	—
268	#124×C₄₁	—	2	1	no	—
269	#124×C₄₁	—	2	1	no	—
270	#124×C₄₁	—	2	1	no	—
271	#124×C₄₁	—	2	1	no	—
272	#124×C₄₁	—	2	1	no	—
273	#124×C₄₁	—	2	1	no	—
274	#124×C₄₁	—	2	1	no	—
275	#124×C₄₁	—	2	1	no	—
276	#124×C₄₁	C₂³	1	1	yes	characteristic
277	#124×C₄₁	C₂³	1	1	yes	characteristic
278	#124×C₄₁	C₂³	1	1	yes	characteristic
279	#124×C₄₁	C₂³	1	1	yes	characteristic
280	#124×C₄₁	C₂³	1	1	yes	characteristic
281	#124×C₄₁	C₂³	1	1	yes	characteristic
282	#123×C₄₁	—	2	1	no	—
283	#123×C₄₁	—	2	1	no	—
284	#123×C₄₁	—	2	1	no	—
285	#123×C₄₁	—	2	1	no	—
286	#123×C₄₁	—	2	1	no	—
287	#123×C₄₁	—	2	1	no	—
288	#123×C₄₁	—	2	1	no	—
289	#123×C₄₁	—	2	1	no	—
290	#123×C₄₁	—	2	1	no	—
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	C₂²⋊Q₈×C₄₁	—	2	1	no	—
301	C₂²⋊Q₈×C₄₁	—	2	1	no	—
302	C₂²⋊Q₈×C₄₁	—	2	1	no	—
303	C₂²⋊Q₈×C₄₁	—	2	1	no	—
304	C₂²⋊Q₈×C₄₁	—	2	1	no	—
305	C₂²⋊Q₈×C₄₁	—	2	1	no	—
306	C₂²⋊Q₈×C₄₁	—	2	1	no	—
307	C₂²⋊Q₈×C₄₁	—	2	1	no	—
308	C₂²⋊Q₈×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	C₂³	1	1	yes	characteristic
316	C₂²⋊Q₈×C₄₁	C₂³	1	1	yes	characteristic
317	C₂²⋊Q₈×C₄₁	C₂³	1	1	yes	characteristic
318	C₂²⋊Q₈×C₄₁	C₂³	1	1	yes	characteristic
319	C₂²⋊Q₈×C₄₁	C₂³	1	1	yes	characteristic
320	C₂²⋊Q₈×C₄₁	C₂³	1	1	yes	characteristic
321	C₂²⋊Q₈×C₄₁	C₂³	1	1	yes	characteristic
322	C₂²⋊Q₈×C₄₁	C₂³	1	1	yes	characteristic
323	C₂²⋊Q₈×C₄₁	C₂³	1	1	yes	characteristic
324	C₂²⋊Q₈×C₄₁	C₂³	1	1	yes	characteristic
325	#121×C₄₁	—	2	1	no	—
326	#121×C₄₁	—	2	1	no	—
327	#121×C₄₁	—	2	1	no	—
328	#121×C₄₁	C₂³	1	1	yes	characteristic
329	#121×C₄₁	C₂³	1	1	yes	characteristic
330	#121×C₄₁	C₂³	1	1	yes	characteristic
331	#121×C₄₁	C₂³	1	1	yes	characteristic
332	#121×C₄₁	C₂³	1	1	yes	characteristic
333	#121×C₄₁	C₂³	1	1	yes	characteristic
334	#120×C₄₁	—	2	1	no	—
335	#120×C₄₁	—	2	1	no	—
336	C₄×Q₈×C₄₁	—	2	1	no	—
337	C₄×Q₈×C₄₁	—	2	1	no	—
338	C₄×Q₈×C₄₁	—	2	1	no	—
339	C₄×Q₈×C₄₁	—	2	1	no	—
340	C₄×Q₈×C₄₁	—	2	1	no	—
341	C₄×Q₈×C₄₁	—	2	1	no	—
342	C₄×Q₈×C₄₁	—	2	1	no	—
343	C₄×Q₈×C₄₁	—	2	1	no	—
344	C₄×Q₈×C₄₁	D₄	1	1	yes	characteristic
345	C₄×Q₈×C₄₁	D₄	1	1	yes	characteristic
346	C₄×Q₈×C₄₁	C₂³	1	1	yes	characteristic
347	C₄×Q₈×C₄₁	C₂³	1	1	yes	characteristic
348	C₄×Q₈×C₄₁	C₂³	1	1	yes	characteristic
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×D₄×C₄₁	—	2	1	no	—
357	C₄×D₄×C₄₁	—	2	1	no	—
358	C₄×D₄×C₄₁	—	2	1	no	—
359	C₄×D₄×C₄₁	—	2	1	no	—
360	C₄×D₄×C₄₁	—	2	1	no	—
361	C₄×D₄×C₄₁	—	2	1	no	—
362	C₄×D₄×C₄₁	—	2	1	no	—
363	C₄×D₄×C₄₁	—	2	1	no	—
364	C₄×D₄×C₄₁	—	2	1	no	—
365	C₄×D₄×C₄₁	—	2	1	no	—
366	C₄×D₄×C₄₁	D₄	1	1	yes	characteristic
367	C₄×D₄×C₄₁	D₄	1	1	yes	characteristic
368	C₄×D₄×C₄₁	D₄	1	1	yes	characteristic
369	C₄×D₄×C₄₁	D₄	1	1	yes	characteristic
370	C₄×D₄×C₄₁	D₄	1	1	yes	characteristic
371	C₄×D₄×C₄₁	D₄	1	1	yes	characteristic
372	C₄×D₄×C₄₁	C₂³	1	1	yes	characteristic
373	C₄×D₄×C₄₁	C₂³	1	1	yes	characteristic
374	C₄×D₄×C₄₁	C₂³	1	1	yes	characteristic
375	C₄×D₄×C₄₁	C₂³	1	1	yes	characteristic
376	C₄×D₄×C₄₁	C₂³	1	1	yes	characteristic
377	C₄×D₄×C₄₁	C₂³	1	1	yes	characteristic
378	#117×C₄₁	—	2	1	no	—
379	#117×C₄₁	—	2	1	no	—
380	#117×C₄₁	—	2	1	no	—
381	#117×C₄₁	—	2	1	no	—
382	#117×C₄₁	—	2	1	no	—
383	#117×C₄₁	—	2	1	no	—
384	#117×C₄₁	—	2	1	no	—
385	#117×C₄₁	—	2	1	no	—
386	#117×C₄₁	—	2	1	no	—
387	#117×C₄₁	—	2	1	no	—
388	#117×C₄₁	—	2	1	no	—
389	#117×C₄₁	C₂³	1	1	yes	characteristic
390	#117×C₄₁	C₂³	1	1	yes	characteristic
391	#117×C₄₁	C₂³	1	1	yes	characteristic
392	#117×C₄₁	C₂³	1	1	yes	characteristic
393	#117×C₄₁	C₂³	1	1	yes	characteristic
394	#117×C₄₁	C₂³	1	1	yes	characteristic
395	C₂×C₄⋊C₄×C₄₁	—	2	1	no	—
396	C₂×C₄⋊C₄×C₄₁	C₂³	1	1	yes	characteristic
397	C₂×C₂²⋊C₄×C₄₁	—	2	1	no	—
398	C₂×C₂²⋊C₄×C₄₁	—	2	1	no	—
399	C₂×C₂²⋊C₄×C₄₁	—	2	1	no	—
400	C₂×C₂²⋊C₄×C₄₁	—	2	1	no	—
401	C₂×C₄²×C₄₁	—	2	1	no	—
402	C₂×C₄²×C₄₁	—	2	1	no	—
403	C₂×C₄²×C₄₁	C₂³	1	1	yes	characteristic
404	C₂×C₄²×C₄₁	C₂³	1	1	yes	characteristic
405	C₂×C₄²×C₄₁	C₂³	1	1	yes	characteristic
406	#107×C₄₁	C₂³	1	1	yes	characteristic
407	#107×C₄₁	C₂³	1	1	yes	characteristic
408	#107×C₄₁	C₂³	1	1	yes	characteristic
409	#107×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	#106×C₄₁	C₂³	1	1	yes	characteristic
419	#106×C₄₁	C₂³	1	1	yes	characteristic
420	#106×C₄₁	C₂³	1	1	yes	characteristic
421	#106×C₄₁	C₂³	1	1	yes	characteristic
422	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	#103×C₄₁	C₂³	1	1	yes	characteristic
449	#103×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	C₂²⋊C₈×C₄₁	C₂³	1	1	yes	characteristic
467	C₂²⋊C₈×C₄₁	C₂³	1	1	yes	characteristic
468	C₂²⋊C₈×C₄₁	C₂³	1	1	yes	characteristic
469	C₂²⋊C₈×C₄₁	C₂³	1	1	yes	characteristic
470	#97×C₄₁	C₂³	1	1	yes	characteristic
471	#97×C₄₁	C₂³	1	1	yes	characteristic
472	#97×C₄₁	C₂³	1	1	yes	characteristic
473	#97×C₄₁	C₂³	1	1	yes	characteristic
474	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	C₂×Q₈×C₄₁	—	2	1	no	—
484	C₂×Q₈×C₄₁	—	2	1	no	—
485	C₂×Q₈×C₄₁	—	2	1	no	—
486	C₂×Q₈×C₄₁	—	2	1	no	—
487	C₂×Q₈×C₄₁	—	2	1	no	—
488	C₂×Q₈×C₄₁	—	2	1	no	—
489	C₂×Q₈×C₄₁	—	4	1	no	—
490	C₂×Q₈×C₄₁	—	4	1	no	—
491	C₂×Q₈×C₄₁	—	4	1	no	—
492	C₂×Q₈×C₄₁	—	4	1	no	—
493	C₂×Q₈×C₄₁	C₂×D₄	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×Q₈×C₄₁	C₂⁴	1	1	yes	characteristic
498	C₂×Q₈×C₄₁	C₂⁴	1	1	yes	characteristic
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	—	4	1	no	—
508	C₂×D₄×C₄₁	—	4	1	no	—
509	C₂×D₄×C₄₁	C₂×D₄	1	1	yes	characteristic
510	C₂×D₄×C₄₁	C₂×D₄	1	1	yes	characteristic
511	C₂×D₄×C₄₁	C₂×D₄	1	1	yes	characteristic
512	C₂×D₄×C₄₁	C₂⁴	1	1	yes	characteristic
513	C₂×D₄×C₄₁	C₂⁴	1	1	yes	characteristic
514	C₂×D₄×C₄₁	C₂⁴	1	1	yes	characteristic
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	—	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	C₂×D₄	1	1	yes	characteristic
526	C₂²×C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
527	C₂²×C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
528	C₂²×C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
529	C₂²×C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
530	C₂²×C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
531	C₂²×C₄×C₄₁	C₂⁴	1	1	yes	characteristic
532	C₂²×C₄×C₄₁	C₂⁴	1	1	yes	characteristic
533	C₂²×C₄×C₄₁	C₂⁴	1	1	yes	characteristic
534	Q₁₆×C₄₁	—	4	1	no	—
535	Q₁₆×C₄₁	—	4	1	no	—
536	Q₁₆×C₄₁	—	4	1	no	—
537	Q₁₆×C₄₁	—	4	1	no	—
538	Q₁₆×C₄₁	—	4	1	no	—
539	Q₁₆×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	SD₁₆×C₄₁	—	4	1	no	—
546	SD₁₆×C₄₁	—	4	1	no	—
547	SD₁₆×C₄₁	—	4	1	no	—
548	D₈×C₄₁	—	4	1	no	—
549	D₈×C₄₁	—	4	1	no	—
550	M₁₆×C₄₁	—	4	1	no	—
551	M₁₆×C₄₁	—	4	1	no	—
552	C₂×C₈×C₄₁	—	4	1	no	—
553	C₂×C₈×C₄₁	—	4	1	no	—
554	C₂×C₈×C₄₁	C₂⁴	1	1	yes	characteristic
555	C₂×C₈×C₄₁	C₂⁴	1	1	yes	characteristic
556	C₂×C₈×C₄₁	C₂⁴	1	1	yes	characteristic
557	C₂×C₈×C₄₁	C₂⁴	1	1	yes	characteristic
558	C₂×C₈×C₄₁	C₂⁴	1	1	yes	characteristic
559	C₂×C₈×C₄₁	C₂⁴	1	1	yes	characteristic
560	C₂×C₈×C₄₁	C₂⁴	1	1	yes	characteristic
561	C₂×C₈×C₄₁	C₂⁴	1	1	yes	characteristic
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	—	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	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	C₂⁴	1	1	yes	characteristic
606	C₄⋊C₄×C₄₁	C₂⁴	1	1	yes	characteristic
607	C₄⋊C₄×C₄₁	C₂⁴	1	1	yes	characteristic
608	C₄⋊C₄×C₄₁	C₂⁴	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	C₂²⋊C₄×C₄₁	—	2	1	no	—
614	C₂²⋊C₄×C₄₁	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
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	C₂²⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
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	C₂×D₄	1	1	yes	characteristic
670	C₄²×C₄₁	C₂×D₄	1	1	yes	characteristic
671	C₄²×C₄₁	C₂×D₄	1	1	yes	characteristic
672	C₄²×C₄₁	C₂×D₄	1	1	yes	characteristic
673	C₄²×C₄₁	C₂×D₄	1	1	yes	characteristic
674	C₄²×C₄₁	C₂×D₄	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	—	4	2	no	—
683	C₂³×C₄₁	—	8	1	no	—
684	C₂³×C₄₁	—	8	1	no	—
685	C₂³×C₄₁	C₂²×D₄	1	1	yes	characteristic
686	C₂³×C₄₁	C₂²×D₄	1	1	yes	characteristic
687	C₂³×C₄₁	C₂²×D₄	1	1	yes	characteristic
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	—	4	1	no	—
699	Q₈×C₄₁	—	4	2	no	—
700	Q₈×C₄₁	—	4	2	no	—
701	Q₈×C₄₁	—	8	1	no	—
702	Q₈×C₄₁	—	8	1	no	—
703	Q₈×C₄₁	—	8	1	no	—
704	Q₈×C₄₁	—	8	1	no	—
705	D₄×C₄₁	—	2	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	—	4	1	no	—
712	D₄×C₄₁	—	4	1	no	—
713	D₄×C₄₁	—	4	1	no	—
714	D₄×C₄₁	—	4	2	no	—
715	D₄×C₄₁	—	4	2	no	—
716	D₄×C₄₁	—	8	1	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	—	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	—	4	1	no	—
742	C₂×C₄×C₄₁	—	4	1	no	—
743	C₂×C₄×C₄₁	—	4	1	no	—
744	C₂×C₄×C₄₁	—	4	1	no	—
745	C₂×C₄×C₄₁	—	4	1	no	—
746	C₂×C₄×C₄₁	—	4	1	no	—
747	C₂×C₄×C₄₁	—	4	2	no	—
748	C₂×C₄×C₄₁	—	4	2	no	—
749	C₂×C₄×C₄₁	—	4	2	no	—
750	C₂×C₄×C₄₁	—	4	2	no	—
751	C₂×C₄×C₄₁	—	8	1	no	—
752	C₂×C₄×C₄₁	—	8	1	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	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	C₂²×D₄	1	1	yes	characteristic
763	C₂×C₄×C₄₁	C₂²×D₄	1	1	yes	characteristic
764	C₂×C₄×C₄₁	C₂²×D₄	1	1	yes	characteristic
765	C₂×C₄×C₄₁	C₂²×D₄	1	1	yes	characteristic
766	C₂×C₄×C₄₁	C₂²×D₄	1	1	yes	characteristic
767	C₂×C₄×C₄₁	C₂²×D₄	1	1	yes	characteristic
768	C₂×C₄×C₄₁	C₂⁵	1	1	yes	characteristic
769	C₈×C₄₁	—	2	1	no	—
770	C₈×C₄₁	—	2	1	no	—
771	C₈×C₄₁	—	2	1	no	—
772	C₈×C₄₁	—	2	1	no	—
773	C₈×C₄₁	—	2	1	no	—
774	C₈×C₄₁	—	2	1	no	—
775	C₈×C₄₁	—	2	1	no	—
776	C₈×C₄₁	—	2	1	no	—
777	#60996	C₄₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
778	C₂²×C₄₁	—	2	1	no	—
779	C₂²×C₄₁	—	2	1	no	—
780	C₂²×C₄₁	—	2	1	no	—
781	C₂²×C₄₁	—	2	1	no	—
782	C₂²×C₄₁	—	2	1	no	—
783	C₂²×C₄₁	—	2	1	no	—
784	C₂²×C₄₁	—	2	1	no	—
785	C₂²×C₄₁	—	2	1	no	—
786	C₂²×C₄₁	—	2	1	no	—
787	C₂²×C₄₁	—	4	1	no	—
788	C₂²×C₄₁	—	4	1	no	—
789	C₂²×C₄₁	—	4	1	no	—
790	C₂²×C₄₁	—	4	1	no	—
791	C₂²×C₄₁	—	4	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	—	16	2	no	—
797	C₂²×C₄₁	C₂³×D₄	1	1	yes	characteristic
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	—	2	1	no	—
803	C₄×C₄₁	—	2	1	no	—
804	C₄×C₄₁	—	2	1	no	—
805	C₄×C₄₁	—	2	1	no	—
806	C₄×C₄₁	—	2	1	no	—
807	C₄×C₄₁	—	2	1	no	—
808	C₄×C₄₁	—	2	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	—	4	1	no	—
815	C₄×C₄₁	—	4	1	no	—
816	C₄×C₄₁	—	4	1	no	—
817	C₄×C₄₁	—	4	1	no	—
818	C₄×C₄₁	—	4	1	no	—
819	C₄×C₄₁	—	4	1	no	—
820	C₄×C₄₁	—	4	1	no	—
821	C₄×C₄₁	—	4	1	no	—
822	C₄×C₄₁	#585	1	1	yes	characteristic
823	C₄×C₄₁	#585	1	1	yes	characteristic
824	#3510	C₂×C₄₁	1	1	yes	characteristic, complemented
825	#3461	C₂×C₄₁	1	1	yes	characteristic, complemented
826	#3256	C₂×C₄₁	1	1	yes	characteristic, complemented
827	#3252	C₂×C₄₁	1	1	yes	characteristic, complemented
828	#3250	C₂×C₄₁	1	1	yes	characteristic, complemented
829	#3248	C₂×C₄₁	1	1	yes	characteristic, complemented
830	#3244	C₂×C₄₁	1	1	yes	characteristic, complemented
831	#3243	C₂×C₄₁	1	1	yes	characteristic, complemented
832	#3240	C₂×C₄₁	1	1	yes	characteristic, complemented
833	#3231	C₂×C₄₁	1	1	yes	characteristic, complemented
834	#3225	C₂×C₄₁	1	1	yes	characteristic, complemented
835	#3225	C₂×C₄₁	1	1	yes	characteristic, complemented
836	#3215	C₂×C₄₁	1	1	yes	characteristic, complemented
837	#3211	C₂×C₄₁	1	1	yes	characteristic, complemented
838	#3202	C₂×C₄₁	1	1	yes	characteristic, complemented
839	#3201	C₂×C₄₁	1	1	yes	characteristic, complemented
840	#3200	C₂×C₄₁	1	1	yes	characteristic, complemented
841	#3198	C₂×C₄₁	1	1	yes	characteristic
842	#3178	C₂×C₄₁	1	1	yes	characteristic, complemented
843	#3178	C₂×C₄₁	1	1	yes	characteristic, complemented
844	#3175	C₂×C₄₁	1	1	yes	characteristic, complemented
845	#3173	C₂×C₄₁	1	1	yes	characteristic, complemented
846	#3127	C₂×C₄₁	1	1	yes	characteristic, complemented
847	#3123	C₂×C₄₁	1	1	yes	characteristic, complemented
848	#3121	C₂×C₄₁	1	1	yes	characteristic, complemented
849	#3118	C₂×C₄₁	1	1	yes	characteristic, complemented
850	#3117	C₂×C₄₁	1	1	yes	characteristic, complemented
851	#3111	C₂×C₄₁	1	1	yes	characteristic, complemented
852	#3108	C₂×C₄₁	1	1	yes	characteristic, complemented
853	#3102	C₂×C₄₁	1	1	yes	characteristic, complemented
854	#2925	C₂×C₄₁	1	1	yes	characteristic, complemented
855	C₂×C₄₁	—	4	1	no	—
856	C₂×C₄₁	—	4	1	no	—
857	C₂×C₄₁	—	4	1	no	—
858	C₂×C₄₁	—	8	1	no	—
859	C₂×C₄₁	—	8	1	no	—
860	C₂×C₄₁	—	8	1	no	—
861	C₂×C₄₁	#3449	1	1	yes	characteristic
862	C₂×C₄₁	#3584	1	1	yes	characteristic
863	C₂×C₄₁	#3586	1	1	yes	characteristic
864	#559	—	2	1	no	—
865	#559	—	2	1	no	—
866	#556	—	2	1	no	—
867	#556	—	2	1	no	—
868	#551	—	2	1	no	—
869	#551	—	2	1	no	—
870	#551	—	2	1	no	—
871	#551	—	2	1	no	—
872	#544	C₂²×C₄₁	1	1	yes	characteristic, complemented
873	#542	—	2	1	no	—
874	#542	C₂²×C₄₁	1	1	yes	characteristic
875	#542	C₂²×C₄₁	1	1	yes	characteristic
876	#542	C₂²×C₄₁	1	1	yes	characteristic
877	#542	C₂²×C₄₁	1	1	yes	characteristic
878	#542	C₂²×C₄₁	1	1	yes	characteristic
879	#542	C₂²×C₄₁	1	1	yes	characteristic, complemented
880	#541	—	2	1	no	—
881	#541	C₂²×C₄₁	1	1	yes	characteristic
882	#541	C₂²×C₄₁	1	1	yes	characteristic, complemented
883	#539	—	2	1	no	—
884	#539	—	2	1	no	—
885	#537	C₂²×C₄₁	1	1	yes	characteristic
886	#536	C₂²×C₄₁	1	1	yes	characteristic
887	#536	C₂²×C₄₁	1	1	yes	characteristic
888	#536	C₂²×C₄₁	1	1	yes	characteristic, complemented
889	#535	C₂²×C₄₁	1	1	yes	characteristic
890	#533	—	2	1	no	—
891	#533	C₂²×C₄₁	1	1	yes	characteristic
892	#533	C₂²×C₄₁	1	1	yes	characteristic
893	#533	C₂²×C₄₁	1	1	yes	characteristic, complemented
894	#529	—	2	1	no	—
895	#529	—	2	1	no	—
896	#529	—	2	1	no	—
897	#529	C₂²×C₄₁	1	1	yes	characteristic
898	#529	C₂²×C₄₁	1	1	yes	characteristic
899	#529	C₂²×C₄₁	1	1	yes	characteristic
900	#529	C₂²×C₄₁	1	1	yes	characteristic
901	#529	C₂²×C₄₁	1	1	yes	characteristic
902	#529	C₂²×C₄₁	1	1	yes	characteristic, complemented
903	C₂×#124	C₂²×C₄₁	1	1	yes	characteristic
904	#519	C₂²×C₄₁	1	1	yes	characteristic
905	#518	C₂²×C₄₁	1	1	yes	characteristic
906	C₄×#41	C₂²×C₄₁	1	1	yes	characteristic
907	C₄×#41	C₂²×C₄₁	1	1	yes	characteristic, complemented
908	C₂×C₄×Q₈	C₂²×C₄₁	1	1	yes	characteristic, complemented
909	#501	C₂²×C₄₁	1	1	yes	characteristic, complemented
910	#501	C₂²×C₄₁	1	1	yes	characteristic, complemented
911	#500	C₂²×C₄₁	1	1	yes	characteristic, complemented
912	#498	C₂²×C₄₁	1	1	yes	characteristic, complemented
913	#497	C₂²×C₄₁	1	1	yes	characteristic
914	#497	C₂²×C₄₁	1	1	yes	characteristic
915	#495	C₂²×C₄₁	1	1	yes	characteristic
916	#495	C₂²×C₄₁	1	1	yes	characteristic
917	#489	C₂²×C₄₁	1	1	yes	characteristic
918	#489	C₂²×C₄₁	1	1	yes	characteristic
919	#489	C₂²×C₄₁	1	1	yes	characteristic, complemented
920	#489	C₂²×C₄₁	1	1	yes	characteristic, complemented
921	#488	C₂²×C₄₁	1	1	yes	characteristic
922	#488	C₂²×C₄₁	1	1	yes	characteristic
923	#487	C₂²×C₄₁	1	1	yes	characteristic, complemented
924	#487	C₂²×C₄₁	1	1	yes	characteristic, complemented
925	#485	C₂²×C₄₁	1	1	yes	characteristic
926	#485	C₂²×C₄₁	1	1	yes	characteristic
927	#485	C₂²×C₄₁	1	1	yes	characteristic
928	#485	C₂²×C₄₁	1	1	yes	characteristic
929	#485	C₂²×C₄₁	1	1	yes	characteristic
930	#485	C₂²×C₄₁	1	1	yes	characteristic
931	#485	C₂²×C₄₁	1	1	yes	characteristic, complemented
932	#485	C₂²×C₄₁	1	1	yes	characteristic, complemented
933	#484	C₂²×C₄₁	1	1	yes	characteristic, complemented
934	#483	C₂²×C₄₁	1	1	yes	characteristic, complemented
935	#482	C₂²×C₄₁	1	1	yes	characteristic
936	#482	C₂²×C₄₁	1	1	yes	characteristic
937	#482	C₂²×C₄₁	1	1	yes	characteristic
938	#482	C₂²×C₄₁	1	1	yes	characteristic
939	#481	C₂²×C₄₁	1	1	yes	characteristic
940	#480	C₂²×C₄₁	1	1	yes	characteristic
941	#479	C₂²×C₄₁	1	1	yes	characteristic, complemented
942	#479	C₂²×C₄₁	1	1	yes	characteristic, complemented
943	#479	C₂²×C₄₁	1	1	yes	characteristic, complemented
944	#479	C₂²×C₄₁	1	1	yes	characteristic, complemented
945	#479	C₂²×C₄₁	1	1	yes	characteristic, complemented
946	#479	C₂²×C₄₁	1	1	yes	characteristic, complemented
947	#479	C₂²×C₄₁	1	1	yes	characteristic, complemented
948	#479	C₂²×C₄₁	1	1	yes	characteristic, complemented
949	#478	C₂²×C₄₁	1	1	yes	characteristic
950	#478	C₂²×C₄₁	1	1	yes	characteristic
951	#478	C₂²×C₄₁	1	1	yes	characteristic, complemented
952	#478	C₂²×C₄₁	1	1	yes	characteristic, complemented
953	#477	C₂²×C₄₁	1	1	yes	characteristic, complemented
954	#476	C₂²×C₄₁	1	1	yes	characteristic
955	#475	C₂²×C₄₁	1	1	yes	characteristic, complemented
956	#474	C₂²×C₄₁	1	1	yes	characteristic
957	#470	C₂²×C₄₁	1	1	yes	characteristic, complemented
958	#470	C₂²×C₄₁	1	1	yes	characteristic, complemented
959	#470	C₂²×C₄₁	1	1	yes	characteristic, complemented
960	#469	C₂²×C₄₁	1	1	yes	characteristic
961	#468	C₂²×C₄₁	1	1	yes	characteristic
962	#468	C₂²×C₄₁	1	1	yes	characteristic
963	#468	C₂²×C₄₁	1	1	yes	characteristic
964	#468	C₂²×C₄₁	1	1	yes	characteristic, complemented
965	#467	C₂²×C₄₁	1	1	yes	characteristic, complemented
966	#467	C₂²×C₄₁	1	1	yes	characteristic, complemented
967	#467	C₂²×C₄₁	1	1	yes	characteristic, complemented
968	#466	C₂²×C₄₁	1	1	yes	characteristic
969	#465	C₂²×C₄₁	1	1	yes	characteristic
970	#465	C₂²×C₄₁	1	1	yes	characteristic
971	#465	C₂²×C₄₁	1	1	yes	characteristic
972	#465	C₂²×C₄₁	1	1	yes	characteristic, complemented
973	#464	C₂²×C₄₁	1	1	yes	characteristic
974	#464	C₂²×C₄₁	1	1	yes	characteristic
975	#464	C₂²×C₄₁	1	1	yes	characteristic
976	#464	C₂²×C₄₁	1	1	yes	characteristic
977	#464	C₂²×C₄₁	1	1	yes	characteristic
978	#464	C₂²×C₄₁	1	1	yes	characteristic
979	#464	C₂²×C₄₁	1	1	yes	characteristic, complemented
980	#464	C₂²×C₄₁	1	1	yes	characteristic, complemented
981	#463	C₂²×C₄₁	1	1	yes	characteristic
982	#463	C₂²×C₄₁	1	1	yes	characteristic
983	#463	C₂²×C₄₁	1	1	yes	characteristic
984	#463	C₂²×C₄₁	1	1	yes	characteristic
985	#462	C₂²×C₄₁	1	1	yes	characteristic, complemented
986	#462	C₂²×C₄₁	1	1	yes	characteristic, complemented
987	#461	C₂²×C₄₁	1	1	yes	characteristic
988	#461	C₂²×C₄₁	1	1	yes	characteristic
989	#452	C₂²×C₄₁	1	1	yes	characteristic, complemented
990	#452	C₂²×C₄₁	1	1	yes	characteristic, complemented
991	#451	C₂²×C₄₁	1	1	yes	characteristic
992	#451	C₂²×C₄₁	1	1	yes	characteristic
993	#451	C₂²×C₄₁	1	1	yes	characteristic
994	#451	C₂²×C₄₁	1	1	yes	characteristic, complemented
995	#451	C₂²×C₄₁	1	1	yes	characteristic, complemented
996	#450	C₂²×C₄₁	1	1	yes	characteristic
997	#450	C₂²×C₄₁	1	1	yes	characteristic
998	#450	C₂²×C₄₁	1	1	yes	characteristic
999	#449	C₂²×C₄₁	1	1	yes	characteristic
1000	#449	C₂²×C₄₁	1	1	yes	characteristic
1001	#448	C₂²×C₄₁	1	1	yes	characteristic
1002	#448	C₂²×C₄₁	1	1	yes	characteristic
1003	#448	C₂²×C₄₁	1	1	yes	characteristic
1004	#447	C₂²×C₄₁	1	1	yes	characteristic
1005	#442	C₂²×C₄₁	1	1	yes	characteristic
1006	#441	C₂²×C₄₁	1	1	yes	characteristic, complemented
1007	#441	C₂²×C₄₁	1	1	yes	characteristic, complemented
1008	#441	C₂²×C₄₁	1	1	yes	characteristic, complemented
1009	#440	C₂²×C₄₁	1	1	yes	characteristic
1010	#440	C₂²×C₄₁	1	1	yes	characteristic
1011	#440	C₂²×C₄₁	1	1	yes	characteristic
1012	#440	C₂²×C₄₁	1	1	yes	characteristic, complemented
1013	C₄×Q₁₆	C₂²×C₄₁	1	1	yes	characteristic, complemented
1014	C₄×Q₁₆	C₂²×C₄₁	1	1	yes	characteristic, complemented
1015	C₄×Q₁₆	C₂²×C₄₁	1	1	yes	characteristic, complemented
1016	C₄×SD₁₆	C₂²×C₄₁	1	1	yes	characteristic
1017	C₄×SD₁₆	C₂²×C₄₁	1	1	yes	characteristic
1018	C₄×SD₁₆	C₂²×C₄₁	1	1	yes	characteristic
1019	C₄×SD₁₆	C₂²×C₄₁	1	1	yes	characteristic, complemented
1020	C₄×D₈	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, complemented
1024	#433	C₂²×C₄₁	1	1	yes	characteristic, complemented
1025	#432	C₂²×C₄₁	1	1	yes	characteristic
1026	#432	C₂²×C₄₁	1	1	yes	characteristic, complemented
1027	#431	C₂²×C₄₁	1	1	yes	characteristic
1028	#431	C₂²×C₄₁	1	1	yes	characteristic, complemented
1029	#423	C₂²×C₄₁	1	1	yes	characteristic, complemented
1030	C₂×C₄⋊C₈	C₂²×C₄₁	1	1	yes	characteristic, complemented
1031	#408	C₂²×C₄₁	1	1	yes	characteristic
1032	#408	C₂²×C₄₁	1	1	yes	characteristic
1033	#405	C₂²×C₄₁	1	1	yes	characteristic, complemented
1034	#405	C₂²×C₄₁	1	1	yes	characteristic, complemented
1035	C₄₁	#60996	1	1	yes	characteristic, direct product factor, Sylow
1036	C₂×#41	C₂³×C₄₁	1	1	yes	characteristic
1037	C₂×#41	C₂³×C₄₁	1	1	yes	characteristic
1038	C₂²×Q₈	C₂³×C₄₁	1	1	yes	characteristic
1039	C₂²×Q₈	C₂³×C₄₁	1	1	yes	characteristic
1040	C₂²×D₄	C₂³×C₄₁	1	1	yes	characteristic
1041	C₂×Q₁₆	C₂³×C₄₁	1	1	yes	characteristic
1042	C₂×Q₁₆	C₂³×C₄₁	1	1	yes	characteristic
1043	C₂×Q₁₆	C₂³×C₄₁	1	1	yes	characteristic
1044	C₂×Q₁₆	C₂³×C₄₁	1	1	yes	characteristic
1045	C₂×Q₁₆	C₂³×C₄₁	1	1	yes	characteristic
1046	C₂×Q₁₆	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×SD₁₆	C₂³×C₄₁	1	1	yes	characteristic
1052	C₂×SD₁₆	C₂³×C₄₁	1	1	yes	characteristic
1053	C₂×SD₁₆	C₂³×C₄₁	1	1	yes	characteristic
1054	C₂×SD₁₆	C₂³×C₄₁	1	1	yes	characteristic
1055	C₂×D₈	C₂³×C₄₁	1	1	yes	characteristic
1056	C₂×D₈	C₂³×C₄₁	1	1	yes	characteristic
1057	C₂×M₁₆	C₂³×C₄₁	1	1	yes	characteristic
1058	C₂×M₁₆	C₂³×C₄₁	1	1	yes	characteristic
1059	C₂²×C₈	C₂³×C₄₁	1	1	yes	characteristic
1060	C₂²×C₈	C₂³×C₄₁	1	1	yes	characteristic
1061	C₄⋊Q₈	—	2	1	no	—
1062	C₄⋊Q₈	—	2	1	no	—
1063	C₄⋊Q₈	—	2	1	no	—
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	C₄⋊Q₈	C₂³×C₄₁	1	1	yes	characteristic
1070	#127	—	2	1	no	—
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	#125	—	2	1	no	—
1088	#125	—	2	1	no	—
1089	#125	—	2	1	no	—
1090	#125	—	2	1	no	—
1091	#125	—	2	1	no	—
1092	#125	—	2	1	no	—
1093	#125	—	2	1	no	—
1094	#125	C₂³×C₄₁	1	1	yes	characteristic
1095	#125	C₂³×C₄₁	1	1	yes	characteristic
1096	#125	C₂³×C₄₁	1	1	yes	characteristic
1097	#125	C₂³×C₄₁	1	1	yes	characteristic
1098	#124	—	2	1	no	—
1099	#124	—	2	1	no	—
1100	#124	—	2	1	no	—
1101	#124	—	2	1	no	—
1102	#124	—	2	1	no	—
1103	#124	—	2	1	no	—
1104	#124	—	2	1	no	—
1105	#124	—	2	1	no	—
1106	#124	—	2	1	no	—
1107	#124	—	2	1	no	—
1108	#124	—	2	1	no	—
1109	#124	C₂³×C₄₁	1	1	yes	characteristic
1110	#124	C₂³×C₄₁	1	1	yes	characteristic
1111	#124	C₂³×C₄₁	1	1	yes	characteristic
1112	#124	C₂³×C₄₁	1	1	yes	characteristic
1113	#124	C₂³×C₄₁	1	1	yes	characteristic
1114	#124	C₂³×C₄₁	1	1	yes	characteristic
1115	#123	—	2	1	no	—
1116	#123	—	2	1	no	—
1117	#123	—	2	1	no	—
1118	#123	—	2	1	no	—
1119	#123	—	2	1	no	—
1120	#123	—	2	1	no	—
1121	#123	—	2	1	no	—
1122	#123	—	2	1	no	—
1123	#123	—	2	1	no	—
1124	#123	—	2	1	no	—
1125	#123	—	2	1	no	—
1126	#123	—	2	1	no	—
1127	#123	—	2	1	no	—
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	C₂²⋊Q₈	—	2	1	no	—
1134	C₂²⋊Q₈	—	2	1	no	—
1135	C₂²⋊Q₈	—	2	1	no	—
1136	C₂²⋊Q₈	—	2	1	no	—
1137	C₂²⋊Q₈	—	2	1	no	—
1138	C₂²⋊Q₈	—	2	1	no	—
1139	C₂²⋊Q₈	—	2	1	no	—
1140	C₂²⋊Q₈	—	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	C₂³×C₄₁	1	1	yes	characteristic
1149	C₂²⋊Q₈	C₂³×C₄₁	1	1	yes	characteristic
1150	C₂²⋊Q₈	C₂³×C₄₁	1	1	yes	characteristic
1151	C₂²⋊Q₈	C₂³×C₄₁	1	1	yes	characteristic
1152	C₂²⋊Q₈	C₂³×C₄₁	1	1	yes	characteristic
1153	C₂²⋊Q₈	C₂³×C₄₁	1	1	yes	characteristic
1154	C₂²⋊Q₈	C₂³×C₄₁	1	1	yes	characteristic
1155	C₂²⋊Q₈	C₂³×C₄₁	1	1	yes	characteristic
1156	C₂²⋊Q₈	C₂³×C₄₁	1	1	yes	characteristic
1157	C₂²⋊Q₈	C₂³×C₄₁	1	1	yes	characteristic
1158	#121	—	2	1	no	—
1159	#121	—	2	1	no	—
1160	#121	—	2	1	no	—
1161	#121	C₂³×C₄₁	1	1	yes	characteristic
1162	#121	C₂³×C₄₁	1	1	yes	characteristic
1163	#121	C₂³×C₄₁	1	1	yes	characteristic
1164	#121	C₂³×C₄₁	1	1	yes	characteristic
1165	#121	C₂³×C₄₁	1	1	yes	characteristic
1166	#121	C₂³×C₄₁	1	1	yes	characteristic
1167	#120	—	2	1	no	—
1168	#120	—	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	—	2	1	no	—
1176	C₄×Q₈	—	2	1	no	—
1177	C₄×Q₈	D₄×C₄₁	1	1	yes	characteristic
1178	C₄×Q₈	D₄×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×D₄	—	2	1	no	—
1190	C₄×D₄	—	2	1	no	—
1191	C₄×D₄	—	2	1	no	—
1192	C₄×D₄	—	2	1	no	—
1193	C₄×D₄	—	2	1	no	—
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	D₄×C₄₁	1	1	yes	characteristic
1200	C₄×D₄	D₄×C₄₁	1	1	yes	characteristic
1201	C₄×D₄	D₄×C₄₁	1	1	yes	characteristic
1202	C₄×D₄	D₄×C₄₁	1	1	yes	characteristic
1203	C₄×D₄	D₄×C₄₁	1	1	yes	characteristic
1204	C₄×D₄	D₄×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	#117	—	2	1	no	—
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	C₂³×C₄₁	1	1	yes	characteristic
1223	#117	C₂³×C₄₁	1	1	yes	characteristic
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	#117	C₂³×C₄₁	1	1	yes	characteristic
1228	C₂×C₄⋊C₄	—	2	1	no	—
1229	C₂×C₄⋊C₄	C₂³×C₄₁	1	1	yes	characteristic
1230	C₂×C₂²⋊C₄	—	2	1	no	—
1231	C₂×C₂²⋊C₄	—	2	1	no	—
1232	C₂×C₂²⋊C₄	—	2	1	no	—
1233	C₂×C₂²⋊C₄	—	2	1	no	—
1234	C₂×C₄²	—	2	1	no	—
1235	C₂×C₄²	—	2	1	no	—
1236	C₂×C₄²	C₂³×C₄₁	1	1	yes	characteristic
1237	C₂×C₄²	C₂³×C₄₁	1	1	yes	characteristic
1238	C₂×C₄²	C₂³×C₄₁	1	1	yes	characteristic
1239	#107	C₂³×C₄₁	1	1	yes	characteristic
1240	#107	C₂³×C₄₁	1	1	yes	characteristic
1241	#107	C₂³×C₄₁	1	1	yes	characteristic
1242	#107	C₂³×C₄₁	1	1	yes	characteristic
1243	#107	C₂³×C₄₁	1	1	yes	characteristic
1244	#107	C₂³×C₄₁	1	1	yes	characteristic
1245	#107	C₂³×C₄₁	1	1	yes	characteristic
1246	#107	C₂³×C₄₁	1	1	yes	characteristic
1247	#106	C₂³×C₄₁	1	1	yes	characteristic
1248	#106	C₂³×C₄₁	1	1	yes	characteristic
1249	#106	C₂³×C₄₁	1	1	yes	characteristic
1250	#106	C₂³×C₄₁	1	1	yes	characteristic
1251	#106	C₂³×C₄₁	1	1	yes	characteristic
1252	#106	C₂³×C₄₁	1	1	yes	characteristic
1253	#106	C₂³×C₄₁	1	1	yes	characteristic
1254	#106	C₂³×C₄₁	1	1	yes	characteristic
1255	C₄⋊C₈	C₂³×C₄₁	1	1	yes	characteristic
1256	C₄⋊C₈	C₂³×C₄₁	1	1	yes	characteristic
1257	C₄⋊C₈	C₂³×C₄₁	1	1	yes	characteristic
1258	C₄⋊C₈	C₂³×C₄₁	1	1	yes	characteristic
1259	C₄⋊C₈	C₂³×C₄₁	1	1	yes	characteristic
1260	C₄⋊C₈	C₂³×C₄₁	1	1	yes	characteristic
1261	C₄⋊C₈	C₂³×C₄₁	1	1	yes	characteristic
1262	C₄⋊C₈	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	#103	C₂³×C₄₁	1	1	yes	characteristic
1273	#103	C₂³×C₄₁	1	1	yes	characteristic
1274	#103	C₂³×C₄₁	1	1	yes	characteristic
1275	#103	C₂³×C₄₁	1	1	yes	characteristic
1276	#103	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	#102	C₂³×C₄₁	1	1	yes	characteristic
1284	#102	C₂³×C₄₁	1	1	yes	characteristic
1285	#102	C₂³×C₄₁	1	1	yes	characteristic
1286	#102	C₂³×C₄₁	1	1	yes	characteristic
1287	#102	C₂³×C₄₁	1	1	yes	characteristic
1288	#102	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	C₂²⋊C₈	C₂³×C₄₁	1	1	yes	characteristic
1296	C₂²⋊C₈	C₂³×C₄₁	1	1	yes	characteristic
1297	C₂²⋊C₈	C₂³×C₄₁	1	1	yes	characteristic
1298	C₂²⋊C₈	C₂³×C₄₁	1	1	yes	characteristic
1299	C₂²⋊C₈	C₂³×C₄₁	1	1	yes	characteristic
1300	C₂²⋊C₈	C₂³×C₄₁	1	1	yes	characteristic
1301	C₂²⋊C₈	C₂³×C₄₁	1	1	yes	characteristic
1302	C₂²⋊C₈	C₂³×C₄₁	1	1	yes	characteristic
1303	#97	C₂³×C₄₁	1	1	yes	characteristic
1304	#97	C₂³×C₄₁	1	1	yes	characteristic
1305	#97	C₂³×C₄₁	1	1	yes	characteristic
1306	#97	C₂³×C₄₁	1	1	yes	characteristic
1307	C₄×C₈	C₂³×C₄₁	1	1	yes	characteristic
1308	C₄×C₈	C₂³×C₄₁	1	1	yes	characteristic
1309	C₄×C₈	C₂³×C₄₁	1	1	yes	characteristic
1310	C₄×C₈	C₂³×C₄₁	1	1	yes	characteristic
1311	C₂⁴	—	2	1	no	—
1312	#41	—	4	1	no	—
1313	#41	—	4	1	no	—
1314	#41	—	4	1	no	—
1315	#41	—	4	1	no	—
1316	C₂×Q₈	—	2	1	no	—
1317	C₂×Q₈	—	2	1	no	—
1318	C₂×Q₈	—	2	1	no	—
1319	C₂×Q₈	—	2	1	no	—
1320	C₂×Q₈	—	2	1	no	—
1321	C₂×Q₈	—	2	1	no	—
1322	C₂×Q₈	—	4	1	no	—
1323	C₂×Q₈	—	4	1	no	—
1324	C₂×Q₈	—	4	1	no	—
1325	C₂×Q₈	—	4	1	no	—
1326	C₂×Q₈	C₂×D₄×C₄₁	1	1	yes	characteristic
1327	C₂×Q₈	C₂⁴×C₄₁	1	1	yes	characteristic
1328	C₂×Q₈	C₂⁴×C₄₁	1	1	yes	characteristic
1329	C₂×Q₈	C₂⁴×C₄₁	1	1	yes	characteristic
1330	C₂×Q₈	C₂⁴×C₄₁	1	1	yes	characteristic
1331	C₂×Q₈	C₂⁴×C₄₁	1	1	yes	characteristic
1332	C₂×D₄	—	2	1	no	—
1333	C₂×D₄	—	2	1	no	—
1334	C₂×D₄	—	2	1	no	—
1335	C₂×D₄	—	2	1	no	—
1336	C₂×D₄	—	2	1	no	—
1337	C₂×D₄	—	2	1	no	—
1338	C₂×D₄	—	2	1	no	—
1339	C₂×D₄	—	2	1	no	—
1340	C₂×D₄	—	4	1	no	—
1341	C₂×D₄	—	4	1	no	—
1342	C₂×D₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1343	C₂×D₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1344	C₂×D₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1345	C₂×D₄	C₂⁴×C₄₁	1	1	yes	characteristic
1346	C₂×D₄	C₂⁴×C₄₁	1	1	yes	characteristic
1347	C₂×D₄	C₂⁴×C₄₁	1	1	yes	characteristic
1348	C₂²×C₄	—	2	1	no	—
1349	C₂²×C₄	—	2	1	no	—
1350	C₂²×C₄	—	2	1	no	—
1351	C₂²×C₄	—	2	1	no	—
1352	C₂²×C₄	—	2	1	no	—
1353	C₂²×C₄	—	2	1	no	—
1354	C₂²×C₄	—	2	1	no	—
1355	C₂²×C₄	—	2	1	no	—
1356	C₂²×C₄	—	2	1	no	—
1357	C₂²×C₄	—	2	1	no	—
1358	C₂²×C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1359	C₂²×C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1360	C₂²×C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1361	C₂²×C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1362	C₂²×C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1363	C₂²×C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1364	C₂²×C₄	C₂⁴×C₄₁	1	1	yes	characteristic
1365	C₂²×C₄	C₂⁴×C₄₁	1	1	yes	characteristic
1366	C₂²×C₄	C₂⁴×C₄₁	1	1	yes	characteristic
1367	Q₁₆	—	4	1	no	—
1368	Q₁₆	—	4	1	no	—
1369	Q₁₆	—	4	1	no	—
1370	Q₁₆	—	4	1	no	—
1371	Q₁₆	—	4	1	no	—
1372	Q₁₆	—	4	1	no	—
1373	SD₁₆	—	4	1	no	—
1374	SD₁₆	—	4	1	no	—
1375	SD₁₆	—	4	1	no	—
1376	SD₁₆	—	4	1	no	—
1377	SD₁₆	—	4	1	no	—
1378	SD₁₆	—	4	1	no	—
1379	SD₁₆	—	4	1	no	—
1380	SD₁₆	—	4	1	no	—
1381	D₈	—	4	1	no	—
1382	D₈	—	4	1	no	—
1383	M₁₆	—	4	1	no	—
1384	M₁₆	—	4	1	no	—
1385	C₂×C₈	—	4	1	no	—
1386	C₂×C₈	—	4	1	no	—
1387	C₂×C₈	C₂⁴×C₄₁	1	1	yes	characteristic
1388	C₂×C₈	C₂⁴×C₄₁	1	1	yes	characteristic
1389	C₂×C₈	C₂⁴×C₄₁	1	1	yes	characteristic
1390	C₂×C₈	C₂⁴×C₄₁	1	1	yes	characteristic
1391	C₂×C₈	C₂⁴×C₄₁	1	1	yes	characteristic
1392	C₂×C₈	C₂⁴×C₄₁	1	1	yes	characteristic
1393	C₂×C₈	C₂⁴×C₄₁	1	1	yes	characteristic
1394	C₂×C₈	C₂⁴×C₄₁	1	1	yes	characteristic
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	—	2	1	no	—
1418	C₄⋊C₄	—	2	1	no	—
1419	C₄⋊C₄	—	2	1	no	—
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	C₂×D₄×C₄₁	1	1	yes	characteristic
1433	C₄⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1434	C₄⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1435	C₄⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1436	C₄⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1437	C₄⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1438	C₄⋊C₄	C₂⁴×C₄₁	1	1	yes	characteristic
1439	C₄⋊C₄	C₂⁴×C₄₁	1	1	yes	characteristic
1440	C₄⋊C₄	C₂⁴×C₄₁	1	1	yes	characteristic
1441	C₄⋊C₄	C₂⁴×C₄₁	1	1	yes	characteristic
1442	C₄⋊C₄	C₂⁴×C₄₁	1	1	yes	characteristic
1443	C₄⋊C₄	C₂⁴×C₄₁	1	1	yes	characteristic
1444	C₄⋊C₄	C₂⁴×C₄₁	1	1	yes	characteristic
1445	C₄⋊C₄	C₂⁴×C₄₁	1	1	yes	characteristic
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	—	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	C₂×D₄×C₄₁	1	1	yes	characteristic
1484	C₂²⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1485	C₂²⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1486	C₂²⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1487	C₂²⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1488	C₂²⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
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	—	2	1	no	—
1496	C₄²	—	2	1	no	—
1497	C₄²	—	2	1	no	—
1498	C₄²	—	2	1	no	—
1499	C₄²	—	2	1	no	—
1500	C₄²	—	2	1	no	—
1501	C₄²	—	2	1	no	—
1502	C₄²	C₂×D₄×C₄₁	1	1	yes	characteristic
1503	C₄²	C₂×D₄×C₄₁	1	1	yes	characteristic
1504	C₄²	C₂×D₄×C₄₁	1	1	yes	characteristic
1505	C₄²	C₂×D₄×C₄₁	1	1	yes	characteristic
1506	C₄²	C₂×D₄×C₄₁	1	1	yes	characteristic
1507	C₄²	C₂×D₄×C₄₁	1	1	yes	characteristic
1508	C₄²	C₂⁴×C₄₁	1	1	yes	characteristic
1509	C₄²	C₂⁴×C₄₁	1	1	yes	characteristic
1510	C₄²	C₂⁴×C₄₁	1	1	yes	characteristic
1511	C₄²	C₂⁴×C₄₁	1	1	yes	characteristic
1512	C₂³	—	2	1	no	—
1513	C₂³	—	2	1	no	—
1514	C₂³	—	2	1	no	—
1515	C₂³	—	4	2	no	—
1516	C₂³	—	8	1	no	—
1517	C₂³	—	8	1	no	—
1518	C₂³	C₂²×D₄×C₄₁	1	1	yes	characteristic
1519	C₂³	C₂²×D₄×C₄₁	1	1	yes	characteristic
1520	C₂³	C₂²×D₄×C₄₁	1	1	yes	characteristic
1521	Q₈	—	2	1	no	—
1522	Q₈	—	2	1	no	—
1523	Q₈	—	2	1	no	—
1524	Q₈	—	2	1	no	—
1525	Q₈	—	2	1	no	—
1526	Q₈	—	2	1	no	—
1527	Q₈	—	2	1	no	—
1528	Q₈	—	2	1	no	—
1529	Q₈	—	2	1	no	—
1530	Q₈	—	2	1	no	—
1531	Q₈	—	4	1	no	—
1532	Q₈	—	4	2	no	—
1533	Q₈	—	4	2	no	—
1534	Q₈	—	8	1	no	—
1535	Q₈	—	8	1	no	—
1536	Q₈	—	8	1	no	—
1537	Q₈	—	8	1	no	—
1538	D₄	—	2	1	no	—
1539	D₄	—	2	1	no	—
1540	D₄	—	2	1	no	—
1541	D₄	—	2	1	no	—
1542	D₄	—	2	1	no	—
1543	D₄	—	2	1	no	—
1544	D₄	—	4	1	no	—
1545	D₄	—	4	1	no	—
1546	D₄	—	4	1	no	—
1547	D₄	—	4	2	no	—
1548	D₄	—	4	2	no	—
1549	D₄	—	8	1	no	—
1550	D₄	—	8	1	no	—
1551	D₄	—	8	1	no	—
1552	D₄	—	8	1	no	—
1553	D₄	—	8	1	no	—
1554	D₄	—	8	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	—	2	1	no	—
1561	C₂×C₄	—	2	1	no	—
1562	C₂×C₄	—	2	1	no	—
1563	C₂×C₄	—	2	1	no	—
1564	C₂×C₄	—	2	1	no	—
1565	C₂×C₄	—	2	1	no	—
1566	C₂×C₄	—	2	1	no	—
1567	C₂×C₄	—	2	1	no	—
1568	C₂×C₄	—	2	1	no	—
1569	C₂×C₄	—	2	1	no	—
1570	C₂×C₄	—	2	1	no	—
1571	C₂×C₄	—	2	1	no	—
1572	C₂×C₄	—	2	1	no	—
1573	C₂×C₄	—	2	1	no	—
1574	C₂×C₄	—	4	1	no	—
1575	C₂×C₄	—	4	1	no	—
1576	C₂×C₄	—	4	1	no	—
1577	C₂×C₄	—	4	1	no	—
1578	C₂×C₄	—	4	1	no	—
1579	C₂×C₄	—	4	1	no	—
1580	C₂×C₄	—	4	2	no	—
1581	C₂×C₄	—	4	2	no	—
1582	C₂×C₄	—	4	2	no	—
1583	C₂×C₄	—	4	2	no	—
1584	C₂×C₄	—	8	1	no	—
1585	C₂×C₄	—	8	1	no	—
1586	C₂×C₄	—	8	1	no	—
1587	C₂×C₄	—	8	1	no	—
1588	C₂×C₄	—	8	1	no	—
1589	C₂×C₄	—	8	1	no	—
1590	C₂×C₄	C₂²×D₄×C₄₁	1	1	yes	characteristic
1591	C₂×C₄	C₂²×D₄×C₄₁	1	1	yes	characteristic
1592	C₂×C₄	C₂²×D₄×C₄₁	1	1	yes	characteristic
1593	C₂×C₄	C₂²×D₄×C₄₁	1	1	yes	characteristic
1594	C₂×C₄	C₂²×D₄×C₄₁	1	1	yes	characteristic
1595	C₂×C₄	C₂²×D₄×C₄₁	1	1	yes	characteristic
1596	C₂×C₄	C₂²×D₄×C₄₁	1	1	yes	characteristic
1597	C₂×C₄	C₂²×D₄×C₄₁	1	1	yes	characteristic
1598	C₂×C₄	C₂²×D₄×C₄₁	1	1	yes	characteristic
1599	C₂×C₄	C₂²×D₄×C₄₁	1	1	yes	characteristic
1600	C₂×C₄	C₂²×D₄×C₄₁	1	1	yes	characteristic
1601	C₂×C₄	C₂⁵×C₄₁	1	1	yes	characteristic
1602	C₈	—	2	1	no	—
1603	C₈	—	2	1	no	—
1604	C₈	—	2	1	no	—
1605	C₈	—	2	1	no	—
1606	C₈	—	2	1	no	—
1607	C₈	—	2	1	no	—
1608	C₈	—	2	1	no	—
1609	C₈	—	2	1	no	—
1610	C₂²	—	2	1	no	—
1611	C₂²	—	2	1	no	—
1612	C₂²	—	2	1	no	—
1613	C₂²	—	2	1	no	—
1614	C₂²	—	2	1	no	—
1615	C₂²	—	2	1	no	—
1616	C₂²	—	2	1	no	—
1617	C₂²	—	2	1	no	—
1618	C₂²	—	2	1	no	—
1619	C₂²	—	4	1	no	—
1620	C₂²	—	4	1	no	—
1621	C₂²	—	4	1	no	—
1622	C₂²	—	4	1	no	—
1623	C₂²	—	4	1	no	—
1624	C₂²	—	4	1	no	—
1625	C₂²	—	4	1	no	—
1626	C₂²	—	4	1	no	—
1627	C₂²	—	4	1	no	—
1628	C₂²	—	16	2	no	—
1629	C₂²	C₂³×D₄×C₄₁	1	1	yes	characteristic
1630	C₄	—	2	1	no	—
1631	C₄	—	2	1	no	—
1632	C₄	—	2	1	no	—
1633	C₄	—	2	1	no	—
1634	C₄	—	2	1	no	—
1635	C₄	—	2	1	no	—
1636	C₄	—	2	1	no	—
1637	C₄	—	2	1	no	—
1638	C₄	—	2	1	no	—
1639	C₄	—	2	1	no	—
1640	C₄	—	2	1	no	—
1641	C₄	—	4	1	no	—
1642	C₄	—	4	1	no	—
1643	C₄	—	4	1	no	—
1644	C₄	—	4	1	no	—
1645	C₄	—	4	1	no	—
1646	C₄	—	4	1	no	—
1647	C₄	—	4	1	no	—
1648	C₄	—	4	1	no	—
1649	C₄	—	4	1	no	—
1650	C₄	—	4	1	no	—
1651	C₄	—	4	1	no	—
1652	C₄	—	4	1	no	—
1653	C₄	—	4	1	no	—
1654	C₄	C₄₁×#585	1	1	yes	characteristic
1655	C₄	C₄₁×#585	1	1	yes	characteristic
1656	C₂	—	4	1	no	—
1657	C₂	—	4	1	no	—
1658	C₂	—	4	1	no	—
1659	C₂	—	8	1	no	—
1660	C₂	—	8	1	no	—
1661	C₂	—	8	1	no	—
1662	C₂	C₄₁×#3449	1	1	yes	characteristic
1663	C₂	C₄₁×#3584	1	1	yes	characteristic
1664	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×#3198	C₂
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₄₁ ◁ C₄×#41×C₄₁ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₄₁×#3510	C₂	semidirect
2. C₄₁×#3461	C₂	semidirect
3. C₄₁×#3256	C₂	semidirect
4. C₄₁×#3252	C₂	semidirect
5. C₄₁×#3250	C₂	semidirect
6. C₄₁×#3248	C₂	semidirect
7. C₄₁×#3244	C₂	semidirect
8. C₄₁×#3243	C₂	semidirect
9. C₄₁×#3240	C₂	semidirect
10. C₄₁×#3231	C₂	semidirect
11. C₄₁×#3225	C₂	semidirect
12. C₄₁×#3225	C₂	semidirect
13. C₄₁×#3215	C₂	semidirect
14. C₄₁×#3211	C₂	semidirect
15. C₄₁×#3202	C₂	semidirect
16. C₄₁×#3201	C₂	semidirect
17. C₄₁×#3200	C₂	semidirect
19. C₄₁×#3178	C₂	semidirect
20. C₄₁×#3178	C₂	semidirect
21. C₄₁×#3175	C₂	semidirect
22. C₄₁×#3173	C₂	semidirect
23. C₄₁×#3127	C₂	semidirect
24. C₄₁×#3123	C₂	semidirect
25. C₄₁×#3121	C₂	semidirect
26. C₄₁×#3118	C₂	semidirect
27. C₄₁×#3117	C₂	semidirect
28. C₄₁×#3111	C₂	semidirect
29. C₄₁×#3108	C₂	semidirect
30. C₄₁×#3102	C₂	semidirect
31. C₄₁×#2925	C₂	semidirect
40. C₄₁×#544	C₂²	semidirect
47. C₄₁×#542	C₂²	semidirect
50. C₄₁×#541	C₂²	semidirect
56. C₄₁×#536	C₂²	semidirect
61. C₄₁×#533	C₂²	semidirect
70. C₄₁×#529	C₂²	semidirect
75. C₄×#41×C₄₁	C₂²	semidirect
76. C₂×C₄×Q₈×C₄₁	C₂²	semidirect
77. C₄₁×#501	C₂²	semidirect
78. C₄₁×#501	C₂²	semidirect
79. C₄₁×#500	C₂²	semidirect
80. C₄₁×#498	C₂²	semidirect
87. C₄₁×#489	C₂²	semidirect
88. C₄₁×#489	C₂²	semidirect
91. C₄₁×#487	C₂²	semidirect
92. C₄₁×#487	C₂²	semidirect
99. C₄₁×#485	C₂²	semidirect
100. C₄₁×#485	C₂²	semidirect
101. C₄₁×#484	C₂²	semidirect
102. C₄₁×#483	C₂²	semidirect
109. C₄₁×#479	C₂²	semidirect
110. C₄₁×#479	C₂²	semidirect
111. C₄₁×#479	C₂²	semidirect
112. C₄₁×#479	C₂²	semidirect
113. C₄₁×#479	C₂²	semidirect
114. C₄₁×#479	C₂²	semidirect
115. C₄₁×#479	C₂²	semidirect
116. C₄₁×#479	C₂²	semidirect
119. C₄₁×#478	C₂²	semidirect
120. C₄₁×#478	C₂²	semidirect
121. C₄₁×#477	C₂²	semidirect
123. C₄₁×#475	C₂²	semidirect
125. C₄₁×#470	C₂²	semidirect
126. C₄₁×#470	C₂²	semidirect
127. C₄₁×#470	C₂²	semidirect
132. C₄₁×#468	C₂²	semidirect
133. C₄₁×#467	C₂²	semidirect
134. C₄₁×#467	C₂²	semidirect
135. C₄₁×#467	C₂²	semidirect
140. C₄₁×#465	C₂²	semidirect
147. C₄₁×#464	C₂²	semidirect
148. C₄₁×#464	C₂²	semidirect
153. C₄₁×#462	C₂²	semidirect
154. C₄₁×#462	C₂²	semidirect
157. C₄₁×#452	C₂²	semidirect
158. C₄₁×#452	C₂²	semidirect
162. C₄₁×#451	C₂²	semidirect
163. C₄₁×#451	C₂²	semidirect
174. C₄₁×#441	C₂²	semidirect
175. C₄₁×#441	C₂²	semidirect
176. C₄₁×#441	C₂²	semidirect
180. C₄₁×#440	C₂²	semidirect
181. C₄×Q₁₆×C₄₁	C₂²	semidirect
182. C₄×Q₁₆×C₄₁	C₂²	semidirect
183. C₄×Q₁₆×C₄₁	C₂²	semidirect
187. C₄×SD₁₆×C₄₁	C₂²	semidirect
191. C₄₁×#433	C₂²	semidirect
192. C₄₁×#433	C₂²	semidirect
194. C₄₁×#432	C₂²	semidirect
196. C₄₁×#431	C₂²	semidirect
197. C₄₁×#423	C₂²	semidirect
198. C₂×C₄⋊C₈×C₄₁	C₂²	semidirect
201. C₄₁×#405	C₂²	semidirect
202. C₄₁×#405	C₂²	semidirect
777. #60996	C₄₁	direct (N × H)
824. #3510	C₂×C₄₁	semidirect
825. #3461	C₂×C₄₁	semidirect
826. #3256	C₂×C₄₁	semidirect
827. #3252	C₂×C₄₁	semidirect
828. #3250	C₂×C₄₁	semidirect
829. #3248	C₂×C₄₁	semidirect
830. #3244	C₂×C₄₁	semidirect
831. #3243	C₂×C₄₁	semidirect
832. #3240	C₂×C₄₁	semidirect
833. #3231	C₂×C₄₁	semidirect
834. #3225	C₂×C₄₁	semidirect
835. #3225	C₂×C₄₁	semidirect
836. #3215	C₂×C₄₁	semidirect
837. #3211	C₂×C₄₁	semidirect
838. #3202	C₂×C₄₁	semidirect
839. #3201	C₂×C₄₁	semidirect
840. #3200	C₂×C₄₁	semidirect
842. #3178	C₂×C₄₁	semidirect
843. #3178	C₂×C₄₁	semidirect
844. #3175	C₂×C₄₁	semidirect
845. #3173	C₂×C₄₁	semidirect
846. #3127	C₂×C₄₁	semidirect
847. #3123	C₂×C₄₁	semidirect
848. #3121	C₂×C₄₁	semidirect
849. #3118	C₂×C₄₁	semidirect
850. #3117	C₂×C₄₁	semidirect
851. #3111	C₂×C₄₁	semidirect
852. #3108	C₂×C₄₁	semidirect
853. #3102	C₂×C₄₁	semidirect
854. #2925	C₂×C₄₁	semidirect
872. #544	C₂²×C₄₁	semidirect
879. #542	C₂²×C₄₁	semidirect
882. #541	C₂²×C₄₁	semidirect
888. #536	C₂²×C₄₁	semidirect
893. #533	C₂²×C₄₁	semidirect
902. #529	C₂²×C₄₁	semidirect
907. C₄×#41	C₂²×C₄₁	semidirect
908. C₂×C₄×Q₈	C₂²×C₄₁	semidirect
909. #501	C₂²×C₄₁	semidirect
910. #501	C₂²×C₄₁	semidirect
911. #500	C₂²×C₄₁	semidirect
912. #498	C₂²×C₄₁	semidirect
919. #489	C₂²×C₄₁	semidirect
920. #489	C₂²×C₄₁	semidirect
923. #487	C₂²×C₄₁	semidirect
924. #487	C₂²×C₄₁	semidirect
931. #485	C₂²×C₄₁	semidirect
932. #485	C₂²×C₄₁	semidirect
933. #484	C₂²×C₄₁	semidirect
934. #483	C₂²×C₄₁	semidirect
941. #479	C₂²×C₄₁	semidirect
942. #479	C₂²×C₄₁	semidirect
943. #479	C₂²×C₄₁	semidirect
944. #479	C₂²×C₄₁	semidirect
945. #479	C₂²×C₄₁	semidirect
946. #479	C₂²×C₄₁	semidirect
947. #479	C₂²×C₄₁	semidirect
948. #479	C₂²×C₄₁	semidirect
951. #478	C₂²×C₄₁	semidirect
952. #478	C₂²×C₄₁	semidirect
953. #477	C₂²×C₄₁	semidirect
955. #475	C₂²×C₄₁	semidirect
957. #470	C₂²×C₄₁	semidirect
958. #470	C₂²×C₄₁	semidirect
959. #470	C₂²×C₄₁	semidirect
964. #468	C₂²×C₄₁	semidirect
965. #467	C₂²×C₄₁	semidirect
966. #467	C₂²×C₄₁	semidirect
967. #467	C₂²×C₄₁	semidirect
972. #465	C₂²×C₄₁	semidirect
979. #464	C₂²×C₄₁	semidirect
980. #464	C₂²×C₄₁	semidirect
985. #462	C₂²×C₄₁	semidirect
986. #462	C₂²×C₄₁	semidirect
989. #452	C₂²×C₄₁	semidirect
990. #452	C₂²×C₄₁	semidirect
994. #451	C₂²×C₄₁	semidirect
995. #451	C₂²×C₄₁	semidirect
1006. #441	C₂²×C₄₁	semidirect
1007. #441	C₂²×C₄₁	semidirect
1008. #441	C₂²×C₄₁	semidirect
1012. #440	C₂²×C₄₁	semidirect
1013. C₄×Q₁₆	C₂²×C₄₁	semidirect
1014. C₄×Q₁₆	C₂²×C₄₁	semidirect
1015. C₄×Q₁₆	C₂²×C₄₁	semidirect
1019. C₄×SD₁₆	C₂²×C₄₁	semidirect
1023. #433	C₂²×C₄₁	semidirect
1024. #433	C₂²×C₄₁	semidirect
1026. #432	C₂²×C₄₁	semidirect
1028. #431	C₂²×C₄₁	semidirect
1029. #423	C₂²×C₄₁	semidirect
1030. C₂×C₄⋊C₈	C₂²×C₄₁	semidirect
1033. #405	C₂²×C₄₁	semidirect
1034. #405	C₂²×C₄₁	semidirect
1035. C₄₁	#60996	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×#3510	2
C₄₁×#3461	2
C₄₁×#3256	2
C₄₁×#3252	2
C₄₁×#3250	2
C₄₁×#3248	2
C₄₁×#3244	2
C₄₁×#3243	2
C₄₁×#3240	2
C₄₁×#3231	2
C₄₁×#3225	2
C₄₁×#3215	2
C₄₁×#3211	2
C₄₁×#3202	2
C₄₁×#3201	2
C₄₁×#3200	2
C₄₁×#3198	2
C₄₁×#3178	2
C₄₁×#3175	2
C₄₁×#3173	2
C₄₁×#3127	2
C₄₁×#3123	2
C₄₁×#3121	2
C₄₁×#3118	2
C₄₁×#3117	2
C₄₁×#3111	2
C₄₁×#3108	2
C₄₁×#3102	2
C₄₁×#2925	2
#60996	41

Subgroups — C41×#60996 #23837197

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₄₁×#60996 #23837197