Subgroups — C₄₁×#61918 #23838119

Order 10496.

1660 conjugacy classes of subgroups.

The subgroup lattice has 1646 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₄₁×#3557	C₂	1	1	yes	maximal, characteristic, complemented
2	C₄₁×#3507	C₂	1	1	yes	maximal, characteristic, complemented
3	C₄₁×#3403	C₂	1	1	yes	maximal, characteristic, complemented
4	C₄₁×#3402	C₂	1	1	yes	maximal, characteristic, complemented
5	C₄₁×#3401	C₂	1	1	yes	maximal, characteristic, complemented
6	C₄₁×#3401	C₂	1	1	yes	maximal, characteristic, complemented
7	C₄₁×#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×#3374	C₂	1	1	yes	maximal, characteristic, complemented
14	C₄₁×#3372	C₂	1	1	yes	maximal, characteristic, complemented
15	C₄₁×#3371	C₂	1	1	yes	maximal, characteristic, complemented
16	C₄₁×#3370	C₂	1	1	yes	maximal, characteristic, complemented
17	C₄₁×#3364	C₂	1	1	yes	maximal, characteristic, complemented
18	C₄₁×#3360	C₂	1	1	yes	maximal, characteristic, complemented
19	C₄₁×#3225	C₂	1	1	yes	maximal, characteristic, complemented
20	C₄₁×#3225	C₂	1	1	yes	maximal, characteristic, complemented
21	C₄₁×#3223	C₂	1	1	yes	maximal, characteristic, complemented
22	C₄₁×#3221	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄₁×#3219	C₂	1	1	yes	maximal, characteristic, complemented
24	C₄₁×#3212	C₂	1	1	yes	maximal, characteristic, complemented
25	C₄₁×#3125	C₂	1	1	yes	maximal, characteristic, complemented
26	C₄₁×#3124	C₂	1	1	yes	maximal, characteristic, complemented
27	C₄₁×#3120	C₂	1	1	yes	maximal, characteristic, complemented
28	C₄₁×#3119	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄₁×#3117	C₂	1	1	yes	maximal, characteristic, complemented
30	C₄₁×#3108	C₂	1	1	yes	maximal, characteristic, complemented
31	C₄₁×#2985	C₂	1	1	yes	maximal, characteristic, complemented
32	C₄₁×#563	—	2	1	no	—
33	C₄₁×#563	—	2	1	no	—
34	C₄₁×#559	C₂²	1	1	yes	characteristic
35	C₄₁×#559	C₂²	1	1	yes	characteristic
36	C₄₁×#559	C₂²	1	1	yes	characteristic
37	C₄₁×#559	C₂²	1	1	yes	characteristic
38	C₄₁×#557	C₂²	1	1	yes	characteristic
39	C₄₁×#557	C₂²	1	1	yes	characteristic
40	C₄₁×#557	C₂²	1	1	yes	characteristic
41	C₄₁×#557	C₂²	1	1	yes	characteristic
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
48	C₄₁×#556	C₂²	1	1	yes	characteristic
49	C₄₁×#554	—	2	1	no	—
50	C₄₁×#554	C₂²	1	1	yes	characteristic
51	C₄₁×#554	C₂²	1	1	yes	characteristic
52	C₄₁×#552	—	2	1	no	—
53	C₄₁×#552	—	2	1	no	—
54	C₄₁×#552	—	2	1	no	—
55	C₄₁×#552	—	2	1	no	—
56	C₄₁×#542	—	2	1	no	—
57	C₄₁×#542	—	2	1	no	—
58	C₄₁×#542	C₂²	1	1	yes	characteristic
59	C₄₁×#542	C₂²	1	1	yes	characteristic
60	C₄₁×#541	C₂²	1	1	yes	characteristic
61	C₄₁×#540	C₂²	1	1	yes	characteristic
62	C₄₁×#539	—	2	1	no	—
63	C₄₁×#539	—	2	1	no	—
64	C₄₁×#539	—	2	1	no	—
65	C₄₁×#539	—	2	1	no	—
66	C₄₁×#536	C₂²	1	1	yes	characteristic
67	C₄₁×#536	C₂²	1	1	yes	characteristic
68	C₄₁×#533	C₂²	1	1	yes	characteristic
69	C₄₁×#532	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	C₄₁×#529	C₂²	1	1	yes	characteristic
74	C₄₁×#520	C₂²	1	1	yes	characteristic
75	C₄₁×#520	C₂²	1	1	yes	characteristic
76	C₂×C₄×Q₈×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
81	C₄₁×#496	C₂²	1	1	yes	characteristic
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
87	C₄₁×#494	C₂²	1	1	yes	characteristic
88	C₄₁×#492	C₂²	1	1	yes	characteristic
89	C₄₁×#491	C₂²	1	1	yes	characteristic
90	C₄₁×#491	C₂²	1	1	yes	characteristic
91	C₄₁×#491	C₂²	1	1	yes	characteristic
92	C₄₁×#490	C₂²	1	1	yes	characteristic
93	C₄₁×#489	C₂²	1	1	yes	characteristic
94	C₄₁×#489	C₂²	1	1	yes	characteristic
95	C₄₁×#488	C₂²	1	1	yes	characteristic
96	C₄₁×#488	C₂²	1	1	yes	characteristic
97	C₄₁×#488	C₂²	1	1	yes	characteristic
98	C₄₁×#488	C₂²	1	1	yes	characteristic
99	C₄₁×#487	C₂²	1	1	yes	characteristic
100	C₄₁×#487	C₂²	1	1	yes	characteristic
101	C₄₁×#484	C₂²	1	1	yes	characteristic
102	C₄₁×#483	C₂²	1	1	yes	characteristic
103	C₄₁×#481	C₂²	1	1	yes	characteristic
104	C₄₁×#480	C₂²	1	1	yes	characteristic
105	C₄₁×#479	C₂²	1	1	yes	characteristic
106	C₄₁×#479	C₂²	1	1	yes	characteristic
107	C₄₁×#479	C₂²	1	1	yes	characteristic
108	C₄₁×#479	C₂²	1	1	yes	characteristic
109	C₄₁×#479	C₂²	1	1	yes	characteristic
110	C₄₁×#479	C₂²	1	1	yes	characteristic
111	C₄₁×#478	C₂²	1	1	yes	characteristic
112	C₄₁×#478	C₂²	1	1	yes	characteristic
113	C₄₁×#477	C₂²	1	1	yes	characteristic
114	C₄₁×#476	C₂²	1	1	yes	characteristic
115	C₄₁×#475	C₂²	1	1	yes	characteristic
116	C₄₁×#474	C₂²	1	1	yes	characteristic
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
127	C₄₁×#464	C₂²	1	1	yes	characteristic
128	C₄₁×#464	C₂²	1	1	yes	characteristic
129	C₄₁×#463	C₂²	1	1	yes	characteristic
130	C₄₁×#463	C₂²	1	1	yes	characteristic
131	C₄₁×#463	C₂²	1	1	yes	characteristic
132	C₄₁×#463	C₂²	1	1	yes	characteristic
133	C₄₁×#463	C₂²	1	1	yes	characteristic
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×#462	C₂²	1	1	yes	characteristic
138	C₄₁×#462	C₂²	1	1	yes	characteristic
139	C₄₁×#462	C₂²	1	1	yes	characteristic
140	C₄₁×#462	C₂²	1	1	yes	characteristic
141	C₄₁×#462	C₂²	1	1	yes	characteristic
142	C₄₁×#462	C₂²	1	1	yes	characteristic
143	C₄₁×#461	C₂²	1	1	yes	characteristic
144	C₄₁×#461	C₂²	1	1	yes	characteristic
145	C₄₁×#461	C₂²	1	1	yes	characteristic
146	C₄₁×#461	C₂²	1	1	yes	characteristic
147	C₄₁×#461	C₂²	1	1	yes	characteristic
148	C₄₁×#461	C₂²	1	1	yes	characteristic
149	C₄₁×#460	C₂²	1	1	yes	characteristic
150	C₄₁×#460	C₂²	1	1	yes	characteristic
151	C₄₁×#459	C₂²	1	1	yes	characteristic
152	C₄₁×#459	C₂²	1	1	yes	characteristic
153	C₄₁×#452	C₂²	1	1	yes	characteristic
154	C₄₁×#452	C₂²	1	1	yes	characteristic
155	C₄₁×#452	C₂²	1	1	yes	characteristic
156	C₄₁×#452	C₂²	1	1	yes	characteristic
157	C₄₁×#451	C₂²	1	1	yes	characteristic
158	C₄₁×#451	C₂²	1	1	yes	characteristic
159	C₄₁×#449	C₂²	1	1	yes	characteristic
160	C₄₁×#449	C₂²	1	1	yes	characteristic
161	C₄₁×#449	C₂²	1	1	yes	characteristic
162	C₄₁×#449	C₂²	1	1	yes	characteristic
163	C₄₁×#448	C₂²	1	1	yes	characteristic
164	C₄₁×#448	C₂²	1	1	yes	characteristic
165	C₄₁×#446	C₂²	1	1	yes	characteristic
166	C₄₁×#446	C₂²	1	1	yes	characteristic
167	C₄₁×#446	C₂²	1	1	yes	characteristic
168	C₄₁×#446	C₂²	1	1	yes	characteristic
169	C₄₁×#446	C₂²	1	1	yes	characteristic
170	C₄₁×#446	C₂²	1	1	yes	characteristic
171	C₈×Q₈×C₄₁	C₂²	1	1	yes	characteristic
172	C₈×Q₈×C₄₁	C₂²	1	1	yes	characteristic
173	C₄₁×#442	C₂²	1	1	yes	characteristic
174	C₄₁×#442	C₂²	1	1	yes	characteristic
175	C₄₁×#441	C₂²	1	1	yes	characteristic
176	C₄₁×#441	C₂²	1	1	yes	characteristic
177	C₄₁×#441	C₂²	1	1	yes	characteristic
178	C₄₁×#441	C₂²	1	1	yes	characteristic
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
183	C₄₁×#440	C₂²	1	1	yes	characteristic
184	C₄₁×#440	C₂²	1	1	yes	characteristic
185	C₄×Q₁₆×C₄₁	C₂²	1	1	yes	characteristic
186	C₄×Q₁₆×C₄₁	C₂²	1	1	yes	characteristic
187	C₄×Q₁₆×C₄₁	C₂²	1	1	yes	characteristic
188	C₄×Q₁₆×C₄₁	C₂²	1	1	yes	characteristic
189	C₄×SD₁₆×C₄₁	C₂²	1	1	yes	characteristic
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
194	C₄×SD₁₆×C₄₁	C₂²	1	1	yes	characteristic
195	C₄×D₈×C₄₁	C₂²	1	1	yes	characteristic
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	C₂×#41×C₄₁	C₂³	1	1	yes	characteristic
205	C₂²×Q₈×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×SD₁₆×C₄₁	C₂³	1	1	yes	characteristic
215	C₂×SD₁₆×C₄₁	C₂³	1	1	yes	characteristic
216	C₂×SD₁₆×C₄₁	C₂³	1	1	yes	characteristic
217	C₂×SD₁₆×C₄₁	C₂³	1	1	yes	characteristic
218	C₂×SD₁₆×C₄₁	C₂³	1	1	yes	characteristic
219	C₂×SD₁₆×C₄₁	C₂³	1	1	yes	characteristic
220	C₂×SD₁₆×C₄₁	C₂³	1	1	yes	characteristic
221	C₂×SD₁₆×C₄₁	C₂³	1	1	yes	characteristic
222	C₂×SD₁₆×C₄₁	C₂³	1	1	yes	characteristic
223	C₂×SD₁₆×C₄₁	C₂³	1	1	yes	characteristic
224	C₂×SD₁₆×C₄₁	C₂³	1	1	yes	characteristic
225	C₂×SD₁₆×C₄₁	C₂³	1	1	yes	characteristic
226	C₂×D₈×C₄₁	C₂³	1	1	yes	characteristic
227	C₂×D₈×C₄₁	C₂³	1	1	yes	characteristic
228	C₂×D₈×C₄₁	C₂³	1	1	yes	characteristic
229	C₂×D₈×C₄₁	C₂³	1	1	yes	characteristic
230	C₄⋊Q₈×C₄₁	—	2	1	no	—
231	C₄⋊Q₈×C₄₁	—	2	1	no	—
232	C₄⋊Q₈×C₄₁	D₄	1	1	yes	characteristic
233	C₄⋊Q₈×C₄₁	D₄	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	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	#127×C₄₁	C₂³	1	1	yes	characteristic
243	#127×C₄₁	C₂³	1	1	yes	characteristic
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	#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	#125×C₄₁	—	2	1	no	—
263	#125×C₄₁	—	2	1	no	—
264	#125×C₄₁	—	2	1	no	—
265	#125×C₄₁	—	2	1	no	—
266	#125×C₄₁	—	2	1	no	—
267	#125×C₄₁	—	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	D₄	1	1	yes	characteristic
275	#125×C₄₁	D₄	1	1	yes	characteristic
276	#125×C₄₁	C₂³	1	1	yes	characteristic
277	#125×C₄₁	C₂³	1	1	yes	characteristic
278	#125×C₄₁	C₂³	1	1	yes	characteristic
279	#125×C₄₁	C₂³	1	1	yes	characteristic
280	#124×C₄₁	—	2	1	no	—
281	#124×C₄₁	—	2	1	no	—
282	#124×C₄₁	—	2	1	no	—
283	#124×C₄₁	—	2	1	no	—
284	#124×C₄₁	—	2	1	no	—
285	#124×C₄₁	—	2	1	no	—
286	#124×C₄₁	C₂³	1	1	yes	characteristic
287	#124×C₄₁	C₂³	1	1	yes	characteristic
288	#124×C₄₁	C₂³	1	1	yes	characteristic
289	#124×C₄₁	C₂³	1	1	yes	characteristic
290	#124×C₄₁	C₂³	1	1	yes	characteristic
291	#124×C₄₁	C₂³	1	1	yes	characteristic
292	#124×C₄₁	C₂³	1	1	yes	characteristic
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	#123×C₄₁	—	2	1	no	—
297	#123×C₄₁	—	2	1	no	—
298	#123×C₄₁	—	2	1	no	—
299	#123×C₄₁	—	2	1	no	—
300	#123×C₄₁	—	2	1	no	—
301	#123×C₄₁	—	2	1	no	—
302	#123×C₄₁	—	2	1	no	—
303	#123×C₄₁	—	2	1	no	—
304	#123×C₄₁	—	2	1	no	—
305	#123×C₄₁	—	2	1	no	—
306	#123×C₄₁	—	2	1	no	—
307	#123×C₄₁	—	2	1	no	—
308	#123×C₄₁	—	2	1	no	—
309	#123×C₄₁	—	2	1	no	—
310	#123×C₄₁	—	2	1	no	—
311	#123×C₄₁	—	2	1	no	—
312	#123×C₄₁	—	2	1	no	—
313	#123×C₄₁	—	2	1	no	—
314	C₂²⋊Q₈×C₄₁	—	2	1	no	—
315	C₂²⋊Q₈×C₄₁	—	2	1	no	—
316	C₂²⋊Q₈×C₄₁	—	2	1	no	—
317	C₂²⋊Q₈×C₄₁	—	2	1	no	—
318	C₂²⋊Q₈×C₄₁	—	2	1	no	—
319	C₂²⋊Q₈×C₄₁	—	2	1	no	—
320	C₂²⋊Q₈×C₄₁	—	2	1	no	—
321	C₂²⋊Q₈×C₄₁	—	2	1	no	—
322	C₂²⋊Q₈×C₄₁	—	2	1	no	—
323	C₂²⋊Q₈×C₄₁	—	2	1	no	—
324	C₂²⋊Q₈×C₄₁	—	2	1	no	—
325	C₂²⋊Q₈×C₄₁	—	2	1	no	—
326	C₂²⋊Q₈×C₄₁	—	2	1	no	—
327	C₂²⋊Q₈×C₄₁	—	2	1	no	—
328	C₂²⋊Q₈×C₄₁	—	2	1	no	—
329	C₂²⋊Q₈×C₄₁	—	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	#121×C₄₁	—	2	1	no	—
339	#121×C₄₁	—	2	1	no	—
340	#121×C₄₁	—	2	1	no	—
341	#121×C₄₁	—	2	1	no	—
342	#121×C₄₁	C₂³	1	1	yes	characteristic
343	#121×C₄₁	C₂³	1	1	yes	characteristic
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	C₂³	1	1	yes	characteristic
351	C₄×Q₈×C₄₁	C₂³	1	1	yes	characteristic
352	C₄×Q₈×C₄₁	C₂³	1	1	yes	characteristic
353	C₄×Q₈×C₄₁	C₂³	1	1	yes	characteristic
354	C₄×Q₈×C₄₁	C₂³	1	1	yes	characteristic
355	C₄×Q₈×C₄₁	C₂³	1	1	yes	characteristic
356	C₄×Q₈×C₄₁	C₂³	1	1	yes	characteristic
357	C₄×Q₈×C₄₁	C₂³	1	1	yes	characteristic
358	C₄×Q₈×C₄₁	C₂³	1	1	yes	characteristic
359	C₄×Q₈×C₄₁	C₂³	1	1	yes	characteristic
360	C₄×Q₈×C₄₁	C₂³	1	1	yes	characteristic
361	C₄×Q₈×C₄₁	C₂³	1	1	yes	characteristic
362	C₄×Q₈×C₄₁	C₂³	1	1	yes	characteristic
363	C₄×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×D₄×C₄₁	—	2	1	no	—
369	C₄×D₄×C₄₁	—	2	1	no	—
370	C₄×D₄×C₄₁	—	2	1	no	—
371	C₄×D₄×C₄₁	—	2	1	no	—
372	C₄×D₄×C₄₁	—	2	1	no	—
373	C₄×D₄×C₄₁	—	2	1	no	—
374	C₄×D₄×C₄₁	—	2	1	no	—
375	C₄×D₄×C₄₁	—	2	1	no	—
376	C₄×D₄×C₄₁	—	2	1	no	—
377	C₄×D₄×C₄₁	—	2	1	no	—
378	C₄×D₄×C₄₁	—	2	1	no	—
379	C₄×D₄×C₄₁	—	2	1	no	—
380	C₄×D₄×C₄₁	C₂³	1	1	yes	characteristic
381	C₄×D₄×C₄₁	C₂³	1	1	yes	characteristic
382	C₄×D₄×C₄₁	C₂³	1	1	yes	characteristic
383	C₄×D₄×C₄₁	C₂³	1	1	yes	characteristic
384	C₄×D₄×C₄₁	C₂³	1	1	yes	characteristic
385	C₄×D₄×C₄₁	C₂³	1	1	yes	characteristic
386	C₄×D₄×C₄₁	C₂³	1	1	yes	characteristic
387	C₄×D₄×C₄₁	C₂³	1	1	yes	characteristic
388	C₄×D₄×C₄₁	C₂³	1	1	yes	characteristic
389	C₄×D₄×C₄₁	C₂³	1	1	yes	characteristic
390	#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	C₂×C₄⋊C₄×C₄₁	—	2	1	no	—
403	C₂×C₄⋊C₄×C₄₁	—	2	1	no	—
404	C₂×C₄⋊C₄×C₄₁	—	2	1	no	—
405	C₂×C₄⋊C₄×C₄₁	—	2	1	no	—
406	C₂×C₄⋊C₄×C₄₁	—	2	1	no	—
407	C₂×C₄⋊C₄×C₄₁	C₂³	1	1	yes	characteristic
408	C₂×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	#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	#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	#41×C₄₁	—	4	1	no	—
479	#41×C₄₁	—	4	1	no	—
480	#41×C₄₁	—	4	1	no	—
481	#41×C₄₁	—	4	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	—	2	1	no	—
505	C₂×D₄×C₄₁	C₂⁴	1	1	yes	characteristic
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	C₂²×C₄×C₄₁	—	2	1	no	—
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	—	2	1	no	—
522	C₂²×C₄×C₄₁	—	2	1	no	—
523	C₂²×C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
524	C₂²×C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
525	C₂²×C₄×C₄₁	C₂⁴	1	1	yes	characteristic
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	Q₁₆×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	SD₁₆×C₄₁	—	4	1	no	—
546	D₈×C₄₁	—	4	1	no	—
547	D₈×C₄₁	—	4	1	no	—
548	D₈×C₄₁	—	4	1	no	—
549	D₈×C₄₁	—	4	1	no	—
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	C₂×C₈×C₄₁	C₂⁴	1	1	yes	characteristic
557	C₂×C₈×C₄₁	C₂⁴	1	1	yes	characteristic
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	—	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	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	C₂×D₄	1	1	yes	characteristic
610	C₄⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
611	C₄⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
612	C₄⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
613	C₄⋊C₄×C₄₁	C₂⁴	1	1	yes	characteristic
614	C₄⋊C₄×C₄₁	C₂⁴	1	1	yes	characteristic
615	C₄⋊C₄×C₄₁	C₂⁴	1	1	yes	characteristic
616	C₄⋊C₄×C₄₁	C₂⁴	1	1	yes	characteristic
617	C₄⋊C₄×C₄₁	C₂⁴	1	1	yes	characteristic
618	C₄⋊C₄×C₄₁	C₂⁴	1	1	yes	characteristic
619	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	—	2	1	no	—
652	C₂²⋊C₄×C₄₁	—	2	1	no	—
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	C₂²⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
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	C₂²×D₄	1	1	yes	characteristic
684	Q₈×C₄₁	—	2	1	no	—
685	Q₈×C₄₁	—	2	1	no	—
686	Q₈×C₄₁	—	2	1	no	—
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	—	4	1	no	—
697	Q₈×C₄₁	—	4	1	no	—
698	Q₈×C₄₁	—	4	1	no	—
699	Q₈×C₄₁	—	4	1	no	—
700	Q₈×C₄₁	—	4	2	no	—
701	Q₈×C₄₁	—	8	1	no	—
702	Q₈×C₄₁	—	8	1	no	—
703	D₄×C₄₁	—	2	1	no	—
704	D₄×C₄₁	—	2	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	2	no	—
712	D₄×C₄₁	—	4	2	no	—
713	D₄×C₄₁	—	4	2	no	—
714	D₄×C₄₁	—	8	1	no	—
715	D₄×C₄₁	—	8	1	no	—
716	D₄×C₄₁	—	8	1	no	—
717	D₄×C₄₁	—	8	1	no	—
718	D₄×C₄₁	—	8	1	no	—
719	C₂×C₄×C₄₁	—	2	1	no	—
720	C₂×C₄×C₄₁	—	2	1	no	—
721	C₂×C₄×C₄₁	—	2	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	—	4	1	no	—
734	C₂×C₄×C₄₁	—	4	1	no	—
735	C₂×C₄×C₄₁	—	4	2	no	—
736	C₂×C₄×C₄₁	—	4	2	no	—
737	C₂×C₄×C₄₁	—	4	2	no	—
738	C₂×C₄×C₄₁	—	8	1	no	—
739	C₂×C₄×C₄₁	—	8	1	no	—
740	C₂×C₄×C₄₁	—	8	1	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	#61918	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	C₂³×D₄	1	1	yes	characteristic
788	C₄×C₄₁	—	2	1	no	—
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	—	4	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	#585	1	1	yes	characteristic
814	C₄×C₄₁	#585	1	1	yes	characteristic
815	#3557	C₂×C₄₁	1	1	yes	characteristic, complemented
816	#3507	C₂×C₄₁	1	1	yes	characteristic, complemented
817	#3403	C₂×C₄₁	1	1	yes	characteristic, complemented
818	#3402	C₂×C₄₁	1	1	yes	characteristic, complemented
819	#3401	C₂×C₄₁	1	1	yes	characteristic, complemented
820	#3401	C₂×C₄₁	1	1	yes	characteristic, complemented
821	#3400	C₂×C₄₁	1	1	yes	characteristic, complemented
822	#3398	C₂×C₄₁	1	1	yes	characteristic, complemented
823	#3394	C₂×C₄₁	1	1	yes	characteristic, complemented
824	#3393	C₂×C₄₁	1	1	yes	characteristic, complemented
825	#3377	C₂×C₄₁	1	1	yes	characteristic, complemented
826	#3376	C₂×C₄₁	1	1	yes	characteristic, complemented
827	#3374	C₂×C₄₁	1	1	yes	characteristic, complemented
828	#3372	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	#3364	C₂×C₄₁	1	1	yes	characteristic, complemented
832	#3360	C₂×C₄₁	1	1	yes	characteristic, complemented
833	#3225	C₂×C₄₁	1	1	yes	characteristic, complemented
834	#3225	C₂×C₄₁	1	1	yes	characteristic, complemented
835	#3223	C₂×C₄₁	1	1	yes	characteristic, complemented
836	#3221	C₂×C₄₁	1	1	yes	characteristic, complemented
837	#3219	C₂×C₄₁	1	1	yes	characteristic, complemented
838	#3212	C₂×C₄₁	1	1	yes	characteristic, complemented
839	#3125	C₂×C₄₁	1	1	yes	characteristic, complemented
840	#3124	C₂×C₄₁	1	1	yes	characteristic, complemented
841	#3120	C₂×C₄₁	1	1	yes	characteristic, complemented
842	#3119	C₂×C₄₁	1	1	yes	characteristic, complemented
843	#3117	C₂×C₄₁	1	1	yes	characteristic, complemented
844	#3108	C₂×C₄₁	1	1	yes	characteristic, complemented
845	#2985	C₂×C₄₁	1	1	yes	characteristic, complemented
846	C₂×C₄₁	—	4	1	no	—
847	C₂×C₄₁	—	8	1	no	—
848	C₂×C₄₁	—	8	1	no	—
849	C₂×C₄₁	—	8	1	no	—
850	C₂×C₄₁	—	8	1	no	—
851	C₂×C₄₁	#3487	1	1	yes	characteristic
852	C₂×C₄₁	#3584	1	1	yes	characteristic
853	C₂×C₄₁	#3586	1	1	yes	characteristic
854	#563	—	2	1	no	—
855	#563	—	2	1	no	—
856	#559	C₂²×C₄₁	1	1	yes	characteristic
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	#557	C₂²×C₄₁	1	1	yes	characteristic
861	#557	C₂²×C₄₁	1	1	yes	characteristic
862	#557	C₂²×C₄₁	1	1	yes	characteristic
863	#557	C₂²×C₄₁	1	1	yes	characteristic
864	#556	—	2	1	no	—
865	#556	C₂²×C₄₁	1	1	yes	characteristic
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
871	#554	—	2	1	no	—
872	#554	C₂²×C₄₁	1	1	yes	characteristic
873	#554	C₂²×C₄₁	1	1	yes	characteristic
874	#552	—	2	1	no	—
875	#552	—	2	1	no	—
876	#552	—	2	1	no	—
877	#552	—	2	1	no	—
878	#542	—	2	1	no	—
879	#542	—	2	1	no	—
880	#542	C₂²×C₄₁	1	1	yes	characteristic
881	#542	C₂²×C₄₁	1	1	yes	characteristic
882	#541	C₂²×C₄₁	1	1	yes	characteristic
883	#540	C₂²×C₄₁	1	1	yes	characteristic
884	#539	—	2	1	no	—
885	#539	—	2	1	no	—
886	#539	—	2	1	no	—
887	#539	—	2	1	no	—
888	#536	C₂²×C₄₁	1	1	yes	characteristic
889	#536	C₂²×C₄₁	1	1	yes	characteristic
890	#533	C₂²×C₄₁	1	1	yes	characteristic
891	#532	C₂²×C₄₁	1	1	yes	characteristic
892	#529	—	2	1	no	—
893	#529	—	2	1	no	—
894	#529	C₂²×C₄₁	1	1	yes	characteristic
895	#529	C₂²×C₄₁	1	1	yes	characteristic
896	#520	C₂²×C₄₁	1	1	yes	characteristic
897	#520	C₂²×C₄₁	1	1	yes	characteristic
898	C₂×C₄×Q₈	C₂²×C₄₁	1	1	yes	characteristic
899	#497	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	#496	C₂²×C₄₁	1	1	yes	characteristic
904	#496	C₂²×C₄₁	1	1	yes	characteristic
905	#495	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	#494	C₂²×C₄₁	1	1	yes	characteristic
910	#492	C₂²×C₄₁	1	1	yes	characteristic
911	#491	C₂²×C₄₁	1	1	yes	characteristic
912	#491	C₂²×C₄₁	1	1	yes	characteristic
913	#491	C₂²×C₄₁	1	1	yes	characteristic
914	#490	C₂²×C₄₁	1	1	yes	characteristic
915	#489	C₂²×C₄₁	1	1	yes	characteristic
916	#489	C₂²×C₄₁	1	1	yes	characteristic
917	#488	C₂²×C₄₁	1	1	yes	characteristic
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	#487	C₂²×C₄₁	1	1	yes	characteristic
922	#487	C₂²×C₄₁	1	1	yes	characteristic
923	#484	C₂²×C₄₁	1	1	yes	characteristic
924	#483	C₂²×C₄₁	1	1	yes	characteristic
925	#481	C₂²×C₄₁	1	1	yes	characteristic
926	#480	C₂²×C₄₁	1	1	yes	characteristic
927	#479	C₂²×C₄₁	1	1	yes	characteristic
928	#479	C₂²×C₄₁	1	1	yes	characteristic
929	#479	C₂²×C₄₁	1	1	yes	characteristic
930	#479	C₂²×C₄₁	1	1	yes	characteristic
931	#479	C₂²×C₄₁	1	1	yes	characteristic
932	#479	C₂²×C₄₁	1	1	yes	characteristic
933	#478	C₂²×C₄₁	1	1	yes	characteristic
934	#478	C₂²×C₄₁	1	1	yes	characteristic
935	#477	C₂²×C₄₁	1	1	yes	characteristic
936	#476	C₂²×C₄₁	1	1	yes	characteristic
937	#475	C₂²×C₄₁	1	1	yes	characteristic
938	#474	C₂²×C₄₁	1	1	yes	characteristic
939	#464	C₂²×C₄₁	1	1	yes	characteristic
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
950	#464	C₂²×C₄₁	1	1	yes	characteristic
951	#463	C₂²×C₄₁	1	1	yes	characteristic
952	#463	C₂²×C₄₁	1	1	yes	characteristic
953	#463	C₂²×C₄₁	1	1	yes	characteristic
954	#463	C₂²×C₄₁	1	1	yes	characteristic
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	#462	C₂²×C₄₁	1	1	yes	characteristic
960	#462	C₂²×C₄₁	1	1	yes	characteristic
961	#462	C₂²×C₄₁	1	1	yes	characteristic
962	#462	C₂²×C₄₁	1	1	yes	characteristic
963	#462	C₂²×C₄₁	1	1	yes	characteristic
964	#462	C₂²×C₄₁	1	1	yes	characteristic
965	#461	C₂²×C₄₁	1	1	yes	characteristic
966	#461	C₂²×C₄₁	1	1	yes	characteristic
967	#461	C₂²×C₄₁	1	1	yes	characteristic
968	#461	C₂²×C₄₁	1	1	yes	characteristic
969	#461	C₂²×C₄₁	1	1	yes	characteristic
970	#461	C₂²×C₄₁	1	1	yes	characteristic
971	#460	C₂²×C₄₁	1	1	yes	characteristic
972	#460	C₂²×C₄₁	1	1	yes	characteristic
973	#459	C₂²×C₄₁	1	1	yes	characteristic
974	#459	C₂²×C₄₁	1	1	yes	characteristic
975	#452	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	#449	C₂²×C₄₁	1	1	yes	characteristic
982	#449	C₂²×C₄₁	1	1	yes	characteristic
983	#449	C₂²×C₄₁	1	1	yes	characteristic
984	#449	C₂²×C₄₁	1	1	yes	characteristic
985	#448	C₂²×C₄₁	1	1	yes	characteristic
986	#448	C₂²×C₄₁	1	1	yes	characteristic
987	#446	C₂²×C₄₁	1	1	yes	characteristic
988	#446	C₂²×C₄₁	1	1	yes	characteristic
989	#446	C₂²×C₄₁	1	1	yes	characteristic
990	#446	C₂²×C₄₁	1	1	yes	characteristic
991	#446	C₂²×C₄₁	1	1	yes	characteristic
992	#446	C₂²×C₄₁	1	1	yes	characteristic
993	C₈×Q₈	C₂²×C₄₁	1	1	yes	characteristic
994	C₈×Q₈	C₂²×C₄₁	1	1	yes	characteristic
995	#442	C₂²×C₄₁	1	1	yes	characteristic
996	#442	C₂²×C₄₁	1	1	yes	characteristic
997	#441	C₂²×C₄₁	1	1	yes	characteristic
998	#441	C₂²×C₄₁	1	1	yes	characteristic
999	#441	C₂²×C₄₁	1	1	yes	characteristic
1000	#441	C₂²×C₄₁	1	1	yes	characteristic
1001	#440	C₂²×C₄₁	1	1	yes	characteristic
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
1006	#440	C₂²×C₄₁	1	1	yes	characteristic
1007	C₄×Q₁₆	C₂²×C₄₁	1	1	yes	characteristic
1008	C₄×Q₁₆	C₂²×C₄₁	1	1	yes	characteristic
1009	C₄×Q₁₆	C₂²×C₄₁	1	1	yes	characteristic
1010	C₄×Q₁₆	C₂²×C₄₁	1	1	yes	characteristic
1011	C₄×SD₁₆	C₂²×C₄₁	1	1	yes	characteristic
1012	C₄×SD₁₆	C₂²×C₄₁	1	1	yes	characteristic
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
1017	C₄×D₈	C₂²×C₄₁	1	1	yes	characteristic
1018	C₄×D₈	C₂²×C₄₁	1	1	yes	characteristic
1019	#433	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	#432	C₂²×C₄₁	1	1	yes	characteristic
1024	#431	C₂²×C₄₁	1	1	yes	characteristic
1025	C₄₁	#61918	1	1	yes	characteristic, direct product factor, Sylow
1026	C₂×#41	C₂³×C₄₁	1	1	yes	characteristic
1027	C₂×#41	C₂³×C₄₁	1	1	yes	characteristic
1028	C₂²×Q₈	C₂³×C₄₁	1	1	yes	characteristic
1029	C₂×Q₁₆	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×SD₁₆	C₂³×C₄₁	1	1	yes	characteristic
1038	C₂×SD₁₆	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×D₈	C₂³×C₄₁	1	1	yes	characteristic
1050	C₂×D₈	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	C₄⋊Q₈	—	2	1	no	—
1054	C₄⋊Q₈	—	2	1	no	—
1055	C₄⋊Q₈	D₄×C₄₁	1	1	yes	characteristic
1056	C₄⋊Q₈	D₄×C₄₁	1	1	yes	characteristic
1057	C₄⋊Q₈	C₂³×C₄₁	1	1	yes	characteristic
1058	C₄⋊Q₈	C₂³×C₄₁	1	1	yes	characteristic
1059	C₄⋊Q₈	C₂³×C₄₁	1	1	yes	characteristic
1060	C₄⋊Q₈	C₂³×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	#127	C₂³×C₄₁	1	1	yes	characteristic
1066	#127	C₂³×C₄₁	1	1	yes	characteristic
1067	#126	—	2	1	no	—
1068	#126	—	2	1	no	—
1069	#126	—	2	1	no	—
1070	#126	—	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	#125	—	2	1	no	—
1086	#125	—	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	—	2	1	no	—
1095	#125	—	2	1	no	—
1096	#125	—	2	1	no	—
1097	#125	D₄×C₄₁	1	1	yes	characteristic
1098	#125	D₄×C₄₁	1	1	yes	characteristic
1099	#125	C₂³×C₄₁	1	1	yes	characteristic
1100	#125	C₂³×C₄₁	1	1	yes	characteristic
1101	#125	C₂³×C₄₁	1	1	yes	characteristic
1102	#125	C₂³×C₄₁	1	1	yes	characteristic
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	#124	C₂³×C₄₁	1	1	yes	characteristic
1116	#124	C₂³×C₄₁	1	1	yes	characteristic
1117	#124	C₂³×C₄₁	1	1	yes	characteristic
1118	#124	C₂³×C₄₁	1	1	yes	characteristic
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	#123	—	2	1	no	—
1134	#123	—	2	1	no	—
1135	#123	—	2	1	no	—
1136	#123	—	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	—	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	D₄×C₄₁	1	1	yes	characteristic
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	C₂³×C₄₁	1	1	yes	characteristic
1160	C₂²⋊Q₈	C₂³×C₄₁	1	1	yes	characteristic
1161	#121	—	2	1	no	—
1162	#121	—	2	1	no	—
1163	#121	—	2	1	no	—
1164	#121	—	2	1	no	—
1165	#121	C₂³×C₄₁	1	1	yes	characteristic
1166	#121	C₂³×C₄₁	1	1	yes	characteristic
1167	C₄×Q₈	—	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	C₂³×C₄₁	1	1	yes	characteristic
1174	C₄×Q₈	C₂³×C₄₁	1	1	yes	characteristic
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×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	—	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	C₄×D₄	C₂³×C₄₁	1	1	yes	characteristic
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	C₂³×C₄₁	1	1	yes	characteristic
1224	#117	C₂³×C₄₁	1	1	yes	characteristic
1225	C₂×C₄⋊C₄	—	2	1	no	—
1226	C₂×C₄⋊C₄	—	2	1	no	—
1227	C₂×C₄⋊C₄	—	2	1	no	—
1228	C₂×C₄⋊C₄	—	2	1	no	—
1229	C₂×C₄⋊C₄	—	2	1	no	—
1230	C₂×C₄⋊C₄	C₂³×C₄₁	1	1	yes	characteristic
1231	C₂×C₄²	—	2	1	no	—
1232	C₂×C₄²	C₂³×C₄₁	1	1	yes	characteristic
1233	#107	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	#106	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	C₄⋊C₈	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	#103	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	#103	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	C₂²⋊C₈	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	#97	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	C₄×C₈	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	#41	—	4	1	no	—
1302	#41	—	4	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	—	4	1	no	—
1309	C₂×Q₈	—	4	1	no	—
1310	C₂×Q₈	C₂×D₄×C₄₁	1	1	yes	characteristic
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	C₂⁴×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×D₄	—	2	1	no	—
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	C₂⁴×C₄₁	1	1	yes	characteristic
1329	C₂×D₄	C₂⁴×C₄₁	1	1	yes	characteristic
1330	C₂×D₄	C₂⁴×C₄₁	1	1	yes	characteristic
1331	C₂×D₄	C₂⁴×C₄₁	1	1	yes	characteristic
1332	C₂²×C₄	—	2	1	no	—
1333	C₂²×C₄	—	2	1	no	—
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	—	2	1	no	—
1346	C₂²×C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1347	C₂²×C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1348	C₂²×C₄	C₂⁴×C₄₁	1	1	yes	characteristic
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	D₈	—	4	1	no	—
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	C₂×C₈	C₂⁴×C₄₁	1	1	yes	characteristic
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	—	2	1	no	—
1418	C₄⋊C₄	—	2	1	no	—
1419	C₄⋊C₄	—	2	1	no	—
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	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	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	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	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	—	2	1	no	—
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	C₂²⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
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	C₂×D₄×C₄₁	1	1	yes	characteristic
1495	C₄²	C₂×D₄×C₄₁	1	1	yes	characteristic
1496	C₄²	C₂⁴×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	C₂³	—	2	1	no	—
1503	C₂³	—	2	1	no	—
1504	C₂³	—	2	1	no	—
1505	C₂³	—	2	1	no	—
1506	C₂³	C₂²×D₄×C₄₁	1	1	yes	characteristic
1507	Q₈	—	2	1	no	—
1508	Q₈	—	2	1	no	—
1509	Q₈	—	2	1	no	—
1510	Q₈	—	2	1	no	—
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	—	4	1	no	—
1520	Q₈	—	4	1	no	—
1521	Q₈	—	4	1	no	—
1522	Q₈	—	4	1	no	—
1523	Q₈	—	4	2	no	—
1524	Q₈	—	8	1	no	—
1525	Q₈	—	8	1	no	—
1526	D₄	—	2	1	no	—
1527	D₄	—	2	1	no	—
1528	D₄	—	2	1	no	—
1529	D₄	—	2	1	no	—
1530	D₄	—	2	1	no	—
1531	D₄	—	2	1	no	—
1532	D₄	—	2	1	no	—
1533	D₄	—	2	1	no	—
1534	D₄	—	4	2	no	—
1535	D₄	—	4	2	no	—
1536	D₄	—	4	2	no	—
1537	D₄	—	8	1	no	—
1538	D₄	—	8	1	no	—
1539	D₄	—	8	1	no	—
1540	D₄	—	8	1	no	—
1541	D₄	—	8	1	no	—
1542	C₂×C₄	—	2	1	no	—
1543	C₂×C₄	—	2	1	no	—
1544	C₂×C₄	—	2	1	no	—
1545	C₂×C₄	—	2	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	—	4	1	no	—
1557	C₂×C₄	—	4	1	no	—
1558	C₂×C₄	—	4	2	no	—
1559	C₂×C₄	—	4	2	no	—
1560	C₂×C₄	—	4	2	no	—
1561	C₂×C₄	—	8	1	no	—
1562	C₂×C₄	—	8	1	no	—
1563	C₂×C₄	—	8	1	no	—
1564	C₂×C₄	—	8	1	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	C₂²×D₄×C₄₁	1	1	yes	characteristic
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	C₂⁵×C₄₁	1	1	yes	characteristic
1586	C₈	—	2	1	no	—
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	C₂²	—	2	1	no	—
1595	C₂²	—	2	1	no	—
1596	C₂²	—	2	1	no	—
1597	C₂²	—	4	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	C₂³×D₄×C₄₁	1	1	yes	characteristic
1610	C₄	—	2	1	no	—
1611	C₄	—	2	1	no	—
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	—	4	1	no	—
1624	C₄	—	4	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	C₄₁×#585	1	1	yes	characteristic
1636	C₄	C₄₁×#585	1	1	yes	characteristic
1637	C₂	—	4	1	no	—
1638	C₂	—	8	1	no	—
1639	C₂	—	8	1	no	—
1640	C₂	—	8	1	no	—
1641	C₂	—	8	1	no	—
1642	C₂	C₄₁×#3487	1	1	yes	characteristic
1643	C₂	C₄₁×#3584	1	1	yes	characteristic
1644	C₂	C₄₁×#3586	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₄₁	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₄₁
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₄₁ ◁ C₄₁×#533 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₄₁×#3557	C₂	semidirect
2. C₄₁×#3507	C₂	semidirect
3. C₄₁×#3403	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×#3374	C₂	semidirect
14. C₄₁×#3372	C₂	semidirect
15. C₄₁×#3371	C₂	semidirect
16. C₄₁×#3370	C₂	semidirect
17. C₄₁×#3364	C₂	semidirect
18. C₄₁×#3360	C₂	semidirect
19. C₄₁×#3225	C₂	semidirect
20. C₄₁×#3225	C₂	semidirect
21. C₄₁×#3223	C₂	semidirect
22. C₄₁×#3221	C₂	semidirect
23. C₄₁×#3219	C₂	semidirect
24. C₄₁×#3212	C₂	semidirect
25. C₄₁×#3125	C₂	semidirect
26. C₄₁×#3124	C₂	semidirect
27. C₄₁×#3120	C₂	semidirect
28. C₄₁×#3119	C₂	semidirect
29. C₄₁×#3117	C₂	semidirect
30. C₄₁×#3108	C₂	semidirect
31. C₄₁×#2985	C₂	semidirect
771. #61918	C₄₁	direct (N × H)
815. #3557	C₂×C₄₁	semidirect
816. #3507	C₂×C₄₁	semidirect
817. #3403	C₂×C₄₁	semidirect
818. #3402	C₂×C₄₁	semidirect
819. #3401	C₂×C₄₁	semidirect
820. #3401	C₂×C₄₁	semidirect
821. #3400	C₂×C₄₁	semidirect
822. #3398	C₂×C₄₁	semidirect
823. #3394	C₂×C₄₁	semidirect
824. #3393	C₂×C₄₁	semidirect
825. #3377	C₂×C₄₁	semidirect
826. #3376	C₂×C₄₁	semidirect
827. #3374	C₂×C₄₁	semidirect
828. #3372	C₂×C₄₁	semidirect
829. #3371	C₂×C₄₁	semidirect
830. #3370	C₂×C₄₁	semidirect
831. #3364	C₂×C₄₁	semidirect
832. #3360	C₂×C₄₁	semidirect
833. #3225	C₂×C₄₁	semidirect
834. #3225	C₂×C₄₁	semidirect
835. #3223	C₂×C₄₁	semidirect
836. #3221	C₂×C₄₁	semidirect
837. #3219	C₂×C₄₁	semidirect
838. #3212	C₂×C₄₁	semidirect
839. #3125	C₂×C₄₁	semidirect
840. #3124	C₂×C₄₁	semidirect
841. #3120	C₂×C₄₁	semidirect
842. #3119	C₂×C₄₁	semidirect
843. #3117	C₂×C₄₁	semidirect
844. #3108	C₂×C₄₁	semidirect
845. #2985	C₂×C₄₁	semidirect
1025. C₄₁	#61918	direct (N × H)

Maximal subgroups

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

subgroup	index
C₄₁×#3557	2
C₄₁×#3507	2
C₄₁×#3403	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×#3374	2
C₄₁×#3372	2
C₄₁×#3371	2
C₄₁×#3370	2
C₄₁×#3364	2
C₄₁×#3360	2
C₄₁×#3225	2
C₄₁×#3223	2
C₄₁×#3221	2
C₄₁×#3219	2
C₄₁×#3212	2
C₄₁×#3125	2
C₄₁×#3124	2
C₄₁×#3120	2
C₄₁×#3119	2
C₄₁×#3117	2
C₄₁×#3108	2
C₄₁×#2985	2
#61918	41

Subgroups — C41×#61918 #23838119

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₄₁×#61918 #23838119