Subgroups — C₄₁×#62078 #23838279

Order 10496.

1832 conjugacy classes of subgroups.

The subgroup lattice has 1770 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₄₁×#3562	C₂	1	1	yes	maximal, characteristic, complemented
2	C₄₁×#3522	C₂	1	1	yes	maximal, characteristic, complemented
3	C₄₁×#3403	C₂	1	1	yes	maximal, characteristic, complemented
4	C₄₁×#3401	C₂	1	1	yes	maximal, characteristic, complemented
5	C₄₁×#3375	C₂	1	1	yes	maximal, characteristic, complemented
6	C₄₁×#3369	C₂	1	1	yes	maximal, characteristic, complemented
7	C₄₁×#3332	C₂	1	1	yes	maximal, characteristic, complemented
8	C₄₁×#3330	C₂	1	1	yes	maximal, characteristic, complemented
9	C₄₁×#3316	C₂	1	1	yes	maximal, characteristic, complemented
10	C₄₁×#3314	C₂	1	1	yes	maximal, characteristic, complemented
11	C₄₁×#3308	C₂	1	1	yes	maximal, characteristic, complemented
12	C₄₁×#3306	C₂	1	1	yes	maximal, characteristic, complemented
13	C₄₁×#3277	C₂	1	1	yes	maximal, characteristic, complemented
14	C₄₁×#3275	C₂	1	1	yes	maximal, characteristic, complemented
15	C₄₁×#3271	C₂	1	1	yes	maximal, characteristic, complemented
16	C₄₁×#3271	C₂	1	1	yes	maximal, characteristic, complemented
17	C₄₁×#3269	C₂	1	1	yes	maximal, characteristic, complemented
18	C₄₁×#3268	C₂	1	1	yes	maximal, characteristic, complemented
19	C₄₁×#3258	C₂	1	1	yes	maximal, characteristic, complemented
20	C₄₁×#3257	C₂	1	1	yes	maximal, characteristic, complemented
21	C₄₁×#3251	C₂	1	1	yes	maximal, characteristic, complemented
22	C₄₁×#3225	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄₁×#3224	C₂	1	1	yes	maximal, characteristic, complemented
24	C₄₁×#3214	C₂	1	1	yes	maximal, characteristic, complemented
25	C₄₁×#3120	C₂	1	1	yes	maximal, characteristic, complemented
26	C₄₁×#3119	C₂	1	1	yes	maximal, characteristic, complemented
27	C₄₁×#3117	C₂	1	1	yes	maximal, characteristic, complemented
28	C₄₁×#3046	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄₁×#3045	C₂	1	1	yes	maximal, characteristic, complemented
30	C₄₁×#3037	C₂	1	1	yes	maximal, characteristic, complemented
31	C₄₁×#2995	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#137×C₄₁	C₂²	1	1	yes	characteristic
33	C₂×#137×C₄₁	C₂²	1	1	yes	characteristic, complemented
34	C₂×#137×C₄₁	C₂²	1	1	yes	characteristic, complemented
35	C₂×AGL(1,ℤ/8)×C₄₁	C₂²	1	1	yes	characteristic
36	C₂×#135×C₄₁	C₂²	1	1	yes	characteristic
37	C₂×#135×C₄₁	C₂²	1	1	yes	characteristic
38	C₄₁×#562	—	2	1	no	—
39	C₄₁×#560	—	2	1	no	—
40	C₄₁×#559	—	2	1	no	—
41	C₄₁×#559	C₂²	1	1	yes	characteristic
42	C₄₁×#559	C₂²	1	1	yes	characteristic, complemented
43	Q₈²×C₄₁	C₂²	1	1	yes	characteristic, complemented
44	C₄₁×#556	C₂²	1	1	yes	characteristic
45	C₄₁×#554	—	2	1	no	—
46	C₄₁×#554	C₂²	1	1	yes	characteristic
47	C₄₁×#553	—	2	1	no	—
48	C₄₁×#551	—	2	1	no	—
49	C₄₁×#550	C₂²	1	1	yes	characteristic
50	C₄₁×#550	C₂²	1	1	yes	characteristic
51	C₄₁×#548	C₂²	1	1	yes	characteristic
52	C₄₁×#548	C₂²	1	1	yes	characteristic
53	C₄₁×#548	C₂²	1	1	yes	characteristic
54	C₄₁×#548	C₂²	1	1	yes	characteristic, complemented
55	C₄₁×#547	—	2	1	no	—
56	C₄₁×#547	—	2	1	no	—
57	C₄₁×#547	C₂²	1	1	yes	characteristic
58	C₄₁×#547	C₂²	1	1	yes	characteristic
59	C₄₁×#547	C₂²	1	1	yes	characteristic, complemented
60	C₄₁×#546	C₂²	1	1	yes	characteristic
61	C₄₁×#546	C₂²	1	1	yes	characteristic
62	C₄₁×#542	—	2	1	no	—
63	C₄₁×#542	—	2	1	no	—
64	C₄₁×#542	C₂²	1	1	yes	characteristic
65	C₄₁×#542	C₂²	1	1	yes	characteristic, complemented
66	C₄₁×#541	C₂²	1	1	yes	characteristic
67	C₄₁×#540	—	2	1	no	—
68	C₄₁×#540	C₂²	1	1	yes	characteristic
69	C₄₁×#539	—	2	1	no	—
70	C₄₁×#538	—	2	1	no	—
71	C₄₁×#538	—	2	1	no	—
72	C₄₁×#536	C₂²	1	1	yes	characteristic
73	C₄₁×#535	C₂²	1	1	yes	characteristic
74	C₄₁×#532	—	2	1	no	—
75	C₄₁×#532	C₂²	1	1	yes	characteristic
76	C₄₁×#532	C₂²	1	1	yes	characteristic, complemented
77	C₄₁×#529	—	2	1	no	—
78	C₄₁×#529	C₂²	1	1	yes	characteristic
79	C₄₁×#529	C₂²	1	1	yes	characteristic
80	C₄₁×#520	C₂²	1	1	yes	characteristic
81	C₄₁×#520	C₂²	1	1	yes	characteristic, complemented
82	C₂×C₄×Q₈×C₄₁	C₂²	1	1	yes	characteristic, complemented
83	C₄₁×#497	C₂²	1	1	yes	characteristic, complemented
84	C₄₁×#496	C₂²	1	1	yes	characteristic
85	C₄₁×#496	C₂²	1	1	yes	characteristic
86	C₄₁×#496	C₂²	1	1	yes	characteristic, complemented
87	C₄₁×#495	C₂²	1	1	yes	characteristic
88	C₄₁×#495	C₂²	1	1	yes	characteristic
89	C₄₁×#489	C₂²	1	1	yes	characteristic
90	C₄₁×#489	C₂²	1	1	yes	characteristic
91	C₄₁×#489	C₂²	1	1	yes	characteristic
92	C₄₁×#489	C₂²	1	1	yes	characteristic, complemented
93	C₄₁×#487	C₂²	1	1	yes	characteristic, complemented
94	C₄₁×#486	C₂²	1	1	yes	characteristic
95	C₄₁×#484	C₂²	1	1	yes	characteristic
96	C₄₁×#484	C₂²	1	1	yes	characteristic, complemented
97	C₄₁×#483	C₂²	1	1	yes	characteristic
98	C₄₁×#481	C₂²	1	1	yes	characteristic
99	C₄₁×#481	C₂²	1	1	yes	characteristic, complemented
100	C₄₁×#480	C₂²	1	1	yes	characteristic
101	C₄₁×#479	C₂²	1	1	yes	characteristic, complemented
102	C₄₁×#479	C₂²	1	1	yes	characteristic, complemented
103	C₄₁×#478	C₂²	1	1	yes	characteristic, complemented
104	C₄₁×#478	C₂²	1	1	yes	characteristic, complemented
105	C₄₁×#477	C₂²	1	1	yes	characteristic, complemented
106	C₄₁×#476	C₂²	1	1	yes	characteristic
107	C₄₁×#475	C₂²	1	1	yes	characteristic, complemented
108	C₄₁×#475	C₂²	1	1	yes	characteristic, complemented
109	C₄₁×#474	C₂²	1	1	yes	characteristic
110	C₄₁×#474	C₂²	1	1	yes	characteristic, complemented
111	C₄₁×#470	C₂²	1	1	yes	characteristic
112	C₄₁×#469	C₂²	1	1	yes	characteristic
113	C₄₁×#469	C₂²	1	1	yes	characteristic
114	C₄₁×#469	C₂²	1	1	yes	characteristic, complemented
115	C₄₁×#468	C₂²	1	1	yes	characteristic
116	C₄₁×#468	C₂²	1	1	yes	characteristic
117	C₄₁×#468	C₂²	1	1	yes	characteristic, complemented
118	C₄₁×#468	C₂²	1	1	yes	characteristic, complemented
119	C₄₁×#467	C₂²	1	1	yes	characteristic
120	C₄₁×#466	C₂²	1	1	yes	characteristic
121	C₄₁×#465	C₂²	1	1	yes	characteristic
122	C₄₁×#465	C₂²	1	1	yes	characteristic, complemented
123	C₄₁×#464	C₂²	1	1	yes	characteristic
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×#464	C₂²	1	1	yes	characteristic, complemented
130	C₄₁×#464	C₂²	1	1	yes	characteristic, complemented
131	C₄₁×#464	C₂²	1	1	yes	characteristic, complemented
132	C₄₁×#464	C₂²	1	1	yes	characteristic, complemented
133	C₄₁×#463	C₂²	1	1	yes	characteristic
134	C₄₁×#463	C₂²	1	1	yes	characteristic
135	C₄₁×#463	C₂²	1	1	yes	characteristic
136	C₄₁×#463	C₂²	1	1	yes	characteristic
137	C₄₁×#463	C₂²	1	1	yes	characteristic
138	C₄₁×#463	C₂²	1	1	yes	characteristic, complemented
139	C₄₁×#462	C₂²	1	1	yes	characteristic, complemented
140	C₄₁×#462	C₂²	1	1	yes	characteristic, complemented
141	C₄₁×#462	C₂²	1	1	yes	characteristic, complemented
142	C₄₁×#461	C₂²	1	1	yes	characteristic, complemented
143	C₄₁×#461	C₂²	1	1	yes	characteristic, complemented
144	C₄₁×#461	C₂²	1	1	yes	characteristic, complemented
145	C₄₁×#460	C₂²	1	1	yes	characteristic
146	C₄₁×#460	C₂²	1	1	yes	characteristic
147	C₄₁×#460	C₂²	1	1	yes	characteristic
148	C₄₁×#460	C₂²	1	1	yes	characteristic, complemented
149	C₄₁×#459	C₂²	1	1	yes	characteristic
150	C₄₁×#459	C₂²	1	1	yes	characteristic
151	C₄₁×#459	C₂²	1	1	yes	characteristic
152	C₄₁×#459	C₂²	1	1	yes	characteristic
153	C₄₁×#452	C₂²	1	1	yes	characteristic
154	C₄₁×#452	C₂²	1	1	yes	characteristic
155	C₄₁×#452	C₂²	1	1	yes	characteristic
156	C₄₁×#452	C₂²	1	1	yes	characteristic
157	C₄₁×#451	C₂²	1	1	yes	characteristic, complemented
158	C₄₁×#451	C₂²	1	1	yes	characteristic, complemented
159	C₄₁×#450	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×#449	C₂²	1	1	yes	characteristic
164	C₄₁×#449	C₂²	1	1	yes	characteristic
165	C₄₁×#449	C₂²	1	1	yes	characteristic, complemented
166	C₄₁×#449	C₂²	1	1	yes	characteristic, complemented
167	C₄₁×#449	C₂²	1	1	yes	characteristic, complemented
168	C₄₁×#448	C₂²	1	1	yes	characteristic
169	C₄₁×#448	C₂²	1	1	yes	characteristic, complemented
170	C₄₁×#447	C₂²	1	1	yes	characteristic
171	C₄₁×#446	C₂²	1	1	yes	characteristic, complemented
172	C₄₁×#446	C₂²	1	1	yes	characteristic, complemented
173	C₄₁×#442	C₂²	1	1	yes	characteristic
174	C₄₁×#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, complemented
180	C₄₁×#440	C₂²	1	1	yes	characteristic, complemented
181	C₄×Q₁₆×C₄₁	C₂²	1	1	yes	characteristic, complemented
182	C₄×SD₁₆×C₄₁	C₂²	1	1	yes	characteristic
183	C₄×SD₁₆×C₄₁	C₂²	1	1	yes	characteristic, complemented
184	C₄×D₈×C₄₁	C₂²	1	1	yes	characteristic, complemented
185	C₄₁×#436	C₂²	1	1	yes	characteristic
186	C₄₁×#436	C₂²	1	1	yes	characteristic, complemented
187	C₄₁×#435	C₂²	1	1	yes	characteristic
188	C₄₁×#435	C₂²	1	1	yes	characteristic
189	C₄₁×#435	C₂²	1	1	yes	characteristic
190	C₄₁×#435	C₂²	1	1	yes	characteristic, complemented
191	C₄₁×#433	C₂²	1	1	yes	characteristic
192	C₄₁×#433	C₂²	1	1	yes	characteristic, complemented
193	C₄₁×#432	C₂²	1	1	yes	characteristic, complemented
194	C₄₁×#424	C₂²	1	1	yes	characteristic
195	C₄₁×#424	C₂²	1	1	yes	characteristic, complemented
196	C₄₁×#423	C₂²	1	1	yes	characteristic, complemented
197	C₄₁×#417	C₂²	1	1	yes	characteristic
198	C₄₁×#417	C₂²	1	1	yes	characteristic
199	C₄₁×#417	C₂²	1	1	yes	characteristic
200	C₄₁×#417	C₂²	1	1	yes	characteristic, complemented
201	C₂×#103×C₄₁	C₂²	1	1	yes	characteristic, complemented
202	C₂×#102×C₄₁	C₂²	1	1	yes	characteristic
203	C₂×#41×C₄₁	—	2	1	no	—
204	C₂×#41×C₄₁	—	2	1	no	—
205	C₂×#41×C₄₁	—	2	1	no	—
206	C₂×#41×C₄₁	C₂³	1	1	yes	characteristic
207	C₂×#41×C₄₁	C₂³	1	1	yes	characteristic
208	C₂×#41×C₄₁	C₂³	1	1	yes	characteristic
209	C₂×#41×C₄₁	C₂³	1	1	yes	characteristic
210	C₂×#41×C₄₁	C₂³	1	1	yes	characteristic
211	C₂×#41×C₄₁	C₂³	1	1	yes	characteristic
212	C₂²×Q₈×C₄₁	C₂³	1	1	yes	characteristic
213	C₂²×Q₈×C₄₁	C₂³	1	1	yes	characteristic
214	C₂²×D₄×C₄₁	C₂³	1	1	yes	characteristic
215	#137×C₄₁	—	4	2	no	—
216	#137×C₄₁	—	4	2	no	—
217	#137×C₄₁	—	4	2	no	—
218	AGL(1,ℤ/8)×C₄₁	—	4	2	no	—
219	#135×C₄₁	—	4	2	no	—
220	#135×C₄₁	—	4	2	no	—
221	C₂×Q₁₆×C₄₁	C₂³	1	1	yes	characteristic
222	C₂×Q₁₆×C₄₁	C₂³	1	1	yes	characteristic
223	C₂×Q₁₆×C₄₁	C₂³	1	1	yes	characteristic
224	C₂×Q₁₆×C₄₁	C₂³	1	1	yes	characteristic
225	C₂×Q₁₆×C₄₁	C₂³	1	1	yes	characteristic
226	C₂×Q₁₆×C₄₁	C₂³	1	1	yes	characteristic
227	C₂×SD₁₆×C₄₁	C₂³	1	1	yes	characteristic
228	C₂×SD₁₆×C₄₁	C₂³	1	1	yes	characteristic
229	C₂×SD₁₆×C₄₁	C₂³	1	1	yes	characteristic
230	C₂×SD₁₆×C₄₁	C₂³	1	1	yes	characteristic
231	C₂×SD₁₆×C₄₁	C₂³	1	1	yes	characteristic
232	C₂×SD₁₆×C₄₁	C₂³	1	1	yes	characteristic
233	C₂×SD₁₆×C₄₁	C₂³	1	1	yes	characteristic
234	C₂×SD₁₆×C₄₁	C₂³	1	1	yes	characteristic
235	C₂×SD₁₆×C₄₁	C₂³	1	1	yes	characteristic
236	C₂×SD₁₆×C₄₁	C₂³	1	1	yes	characteristic
237	C₂×SD₁₆×C₄₁	C₂³	1	1	yes	characteristic
238	C₂×SD₁₆×C₄₁	C₂³	1	1	yes	characteristic
239	C₂×D₈×C₄₁	C₂³	1	1	yes	characteristic
240	C₂×D₈×C₄₁	C₂³	1	1	yes	characteristic
241	C₂×D₈×C₄₁	C₂³	1	1	yes	characteristic
242	C₂×D₈×C₄₁	C₂³	1	1	yes	characteristic
243	C₂×D₈×C₄₁	C₂³	1	1	yes	characteristic
244	C₂×D₈×C₄₁	C₂³	1	1	yes	characteristic
245	C₂×M₁₆×C₄₁	C₂³	1	1	yes	characteristic
246	C₂×M₁₆×C₄₁	C₂³	1	1	yes	characteristic
247	C₂×M₁₆×C₄₁	C₂³	1	1	yes	characteristic
248	C₂×M₁₆×C₄₁	C₂³	1	1	yes	characteristic
249	C₂²×C₈×C₄₁	C₂³	1	1	yes	characteristic
250	C₂²×C₈×C₄₁	C₂³	1	1	yes	characteristic
251	C₄⋊Q₈×C₄₁	—	2	1	no	—
252	C₄⋊Q₈×C₄₁	—	2	1	no	—
253	C₄⋊Q₈×C₄₁	—	2	1	no	—
254	C₄⋊Q₈×C₄₁	C₂³	1	1	yes	characteristic
255	C₄⋊Q₈×C₄₁	C₂³	1	1	yes	characteristic
256	C₄⋊Q₈×C₄₁	C₂³	1	1	yes	characteristic
257	C₄⋊Q₈×C₄₁	C₂³	1	1	yes	characteristic
258	C₄⋊Q₈×C₄₁	C₂³	1	1	yes	characteristic
259	#127×C₄₁	—	2	1	no	—
260	#127×C₄₁	—	2	1	no	—
261	#127×C₄₁	C₂³	1	1	yes	characteristic
262	#127×C₄₁	C₂³	1	1	yes	characteristic
263	#127×C₄₁	C₂³	1	1	yes	characteristic
264	#126×C₄₁	—	2	1	no	—
265	#126×C₄₁	—	2	1	no	—
266	#126×C₄₁	—	2	1	no	—
267	#126×C₄₁	—	2	1	no	—
268	#126×C₄₁	—	2	1	no	—
269	#126×C₄₁	—	2	1	no	—
270	#126×C₄₁	—	2	1	no	—
271	#126×C₄₁	D₄	1	1	yes	characteristic
272	#126×C₄₁	D₄	1	1	yes	characteristic
273	#125×C₄₁	—	2	1	no	—
274	#125×C₄₁	—	2	1	no	—
275	#125×C₄₁	—	2	1	no	—
276	#125×C₄₁	D₄	1	1	yes	characteristic
277	#125×C₄₁	C₂³	1	1	yes	characteristic
278	#124×C₄₁	—	2	1	no	—
279	#124×C₄₁	—	2	1	no	—
280	#124×C₄₁	—	2	1	no	—
281	#124×C₄₁	—	2	1	no	—
282	#124×C₄₁	—	2	1	no	—
283	#124×C₄₁	—	2	1	no	—
284	#124×C₄₁	—	2	1	no	—
285	#124×C₄₁	—	2	1	no	—
286	#124×C₄₁	—	2	1	no	—
287	#124×C₄₁	D₄	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	#123×C₄₁	—	2	1	no	—
296	#123×C₄₁	—	2	1	no	—
297	#123×C₄₁	—	2	1	no	—
298	#123×C₄₁	—	2	1	no	—
299	#123×C₄₁	—	2	1	no	—
300	#123×C₄₁	—	2	1	no	—
301	#123×C₄₁	—	2	1	no	—
302	#123×C₄₁	—	2	1	no	—
303	#123×C₄₁	—	2	1	no	—
304	#123×C₄₁	—	2	1	no	—
305	#123×C₄₁	—	2	1	no	—
306	#123×C₄₁	—	2	1	no	—
307	#123×C₄₁	—	2	1	no	—
308	#123×C₄₁	—	2	1	no	—
309	#123×C₄₁	—	2	1	no	—
310	#123×C₄₁	—	2	1	no	—
311	#123×C₄₁	—	2	1	no	—
312	#123×C₄₁	—	2	1	no	—
313	#123×C₄₁	—	2	1	no	—
314	#123×C₄₁	D₄	1	1	yes	characteristic
315	#123×C₄₁	D₄	1	1	yes	characteristic
316	C₂²⋊Q₈×C₄₁	—	2	1	no	—
317	C₂²⋊Q₈×C₄₁	—	2	1	no	—
318	C₂²⋊Q₈×C₄₁	—	2	1	no	—
319	C₂²⋊Q₈×C₄₁	—	2	1	no	—
320	C₂²⋊Q₈×C₄₁	—	2	1	no	—
321	C₂²⋊Q₈×C₄₁	—	2	1	no	—
322	C₂²⋊Q₈×C₄₁	—	2	1	no	—
323	C₂²⋊Q₈×C₄₁	—	2	1	no	—
324	C₂²⋊Q₈×C₄₁	—	2	1	no	—
325	C₂²⋊Q₈×C₄₁	—	2	1	no	—
326	C₂²⋊Q₈×C₄₁	—	2	1	no	—
327	C₂²⋊Q₈×C₄₁	—	2	1	no	—
328	C₂²⋊Q₈×C₄₁	—	2	1	no	—
329	C₂²⋊Q₈×C₄₁	D₄	1	1	yes	characteristic
330	C₂²⋊Q₈×C₄₁	C₂³	1	1	yes	characteristic
331	C₂²⋊Q₈×C₄₁	C₂³	1	1	yes	characteristic
332	C₂²⋊Q₈×C₄₁	C₂³	1	1	yes	characteristic
333	C₂²⋊Q₈×C₄₁	C₂³	1	1	yes	characteristic
334	C₂²⋊Q₈×C₄₁	C₂³	1	1	yes	characteristic
335	#121×C₄₁	—	2	1	no	—
336	#121×C₄₁	—	2	1	no	—
337	#121×C₄₁	—	2	1	no	—
338	#121×C₄₁	—	2	1	no	—
339	#121×C₄₁	—	2	1	no	—
340	#121×C₄₁	—	2	1	no	—
341	#121×C₄₁	—	2	1	no	—
342	#121×C₄₁	—	2	1	no	—
343	#121×C₄₁	—	2	1	no	—
344	#121×C₄₁	—	2	1	no	—
345	#121×C₄₁	—	2	1	no	—
346	#121×C₄₁	—	2	1	no	—
347	#121×C₄₁	—	2	1	no	—
348	#121×C₄₁	—	2	1	no	—
349	#121×C₄₁	—	2	1	no	—
350	#121×C₄₁	—	2	1	no	—
351	#121×C₄₁	—	2	1	no	—
352	#121×C₄₁	—	2	1	no	—
353	#121×C₄₁	D₄	1	1	yes	characteristic
354	#121×C₄₁	C₂³	1	1	yes	characteristic
355	#121×C₄₁	C₂³	1	1	yes	characteristic
356	#121×C₄₁	C₂³	1	1	yes	characteristic
357	#121×C₄₁	C₂³	1	1	yes	characteristic
358	#121×C₄₁	C₂³	1	1	yes	characteristic
359	#121×C₄₁	C₂³	1	1	yes	characteristic
360	#121×C₄₁	C₂³	1	1	yes	characteristic
361	#120×C₄₁	—	2	1	no	—
362	#120×C₄₁	—	2	1	no	—
363	#120×C₄₁	—	2	1	no	—
364	#120×C₄₁	—	2	1	no	—
365	C₄×Q₈×C₄₁	—	2	1	no	—
366	C₄×Q₈×C₄₁	—	2	1	no	—
367	C₄×Q₈×C₄₁	—	2	1	no	—
368	C₄×Q₈×C₄₁	C₂³	1	1	yes	characteristic
369	C₄×Q₈×C₄₁	C₂³	1	1	yes	characteristic
370	C₄×Q₈×C₄₁	C₂³	1	1	yes	characteristic
371	C₄×Q₈×C₄₁	C₂³	1	1	yes	characteristic
372	C₄×Q₈×C₄₁	C₂³	1	1	yes	characteristic
373	C₄×Q₈×C₄₁	C₂³	1	1	yes	characteristic
374	C₄×Q₈×C₄₁	C₂³	1	1	yes	characteristic
375	C₄×Q₈×C₄₁	C₂³	1	1	yes	characteristic
376	C₄×Q₈×C₄₁	C₂³	1	1	yes	characteristic
377	C₄×Q₈×C₄₁	C₂³	1	1	yes	characteristic
378	C₄×D₄×C₄₁	—	2	1	no	—
379	C₄×D₄×C₄₁	—	2	1	no	—
380	C₄×D₄×C₄₁	—	2	1	no	—
381	C₄×D₄×C₄₁	—	2	1	no	—
382	C₄×D₄×C₄₁	—	2	1	no	—
383	C₄×D₄×C₄₁	—	2	1	no	—
384	C₄×D₄×C₄₁	—	2	1	no	—
385	C₄×D₄×C₄₁	—	2	1	no	—
386	C₄×D₄×C₄₁	—	2	1	no	—
387	C₄×D₄×C₄₁	—	2	1	no	—
388	C₄×D₄×C₄₁	—	2	1	no	—
389	C₄×D₄×C₄₁	—	2	1	no	—
390	C₄×D₄×C₄₁	—	2	1	no	—
391	C₄×D₄×C₄₁	—	2	1	no	—
392	C₄×D₄×C₄₁	—	2	1	no	—
393	C₄×D₄×C₄₁	—	2	1	no	—
394	C₄×D₄×C₄₁	—	2	1	no	—
395	C₄×D₄×C₄₁	C₂³	1	1	yes	characteristic
396	C₄×D₄×C₄₁	C₂³	1	1	yes	characteristic
397	C₄×D₄×C₄₁	C₂³	1	1	yes	characteristic
398	C₄×D₄×C₄₁	C₂³	1	1	yes	characteristic
399	C₄×D₄×C₄₁	C₂³	1	1	yes	characteristic
400	C₄×D₄×C₄₁	C₂³	1	1	yes	characteristic
401	C₄×D₄×C₄₁	C₂³	1	1	yes	characteristic
402	C₄×D₄×C₄₁	C₂³	1	1	yes	characteristic
403	C₄×D₄×C₄₁	C₂³	1	1	yes	characteristic
404	C₄×D₄×C₄₁	C₂³	1	1	yes	characteristic
405	#117×C₄₁	—	2	1	no	—
406	#117×C₄₁	—	2	1	no	—
407	#117×C₄₁	—	2	1	no	—
408	#117×C₄₁	—	2	1	no	—
409	#117×C₄₁	C₂³	1	1	yes	characteristic
410	#117×C₄₁	C₂³	1	1	yes	characteristic
411	C₂×C₄⋊C₄×C₄₁	—	2	1	no	—
412	C₂×C₄⋊C₄×C₄₁	—	2	1	no	—
413	C₂×C₄⋊C₄×C₄₁	—	2	1	no	—
414	C₂×C₄⋊C₄×C₄₁	—	2	1	no	—
415	C₂×C₄⋊C₄×C₄₁	C₂³	1	1	yes	characteristic
416	C₂×C₄⋊C₄×C₄₁	C₂³	1	1	yes	characteristic
417	C₂×C₄⋊C₄×C₄₁	C₂³	1	1	yes	characteristic
418	C₂×C₂²⋊C₄×C₄₁	—	2	1	no	—
419	C₂×C₂²⋊C₄×C₄₁	—	2	1	no	—
420	C₂×C₄²×C₄₁	—	2	1	no	—
421	C₂×C₄²×C₄₁	C₂³	1	1	yes	characteristic
422	#107×C₄₁	C₂³	1	1	yes	characteristic
423	#107×C₄₁	C₂³	1	1	yes	characteristic
424	#107×C₄₁	C₂³	1	1	yes	characteristic
425	#107×C₄₁	C₂³	1	1	yes	characteristic
426	#106×C₄₁	C₂³	1	1	yes	characteristic
427	#106×C₄₁	C₂³	1	1	yes	characteristic
428	#106×C₄₁	C₂³	1	1	yes	characteristic
429	#106×C₄₁	C₂³	1	1	yes	characteristic
430	C₄⋊C₈×C₄₁	C₂³	1	1	yes	characteristic
431	C₄⋊C₈×C₄₁	C₂³	1	1	yes	characteristic
432	C₄⋊C₈×C₄₁	C₂³	1	1	yes	characteristic
433	C₄⋊C₈×C₄₁	C₂³	1	1	yes	characteristic
434	C₄⋊C₈×C₄₁	C₂³	1	1	yes	characteristic
435	C₄⋊C₈×C₄₁	C₂³	1	1	yes	characteristic
436	C₄⋊C₈×C₄₁	C₂³	1	1	yes	characteristic
437	C₄⋊C₈×C₄₁	C₂³	1	1	yes	characteristic
438	C₄⋊C₈×C₄₁	C₂³	1	1	yes	characteristic
439	C₄⋊C₈×C₄₁	C₂³	1	1	yes	characteristic
440	#103×C₄₁	C₂³	1	1	yes	characteristic
441	#103×C₄₁	C₂³	1	1	yes	characteristic
442	#103×C₄₁	C₂³	1	1	yes	characteristic
443	#103×C₄₁	C₂³	1	1	yes	characteristic
444	#103×C₄₁	C₂³	1	1	yes	characteristic
445	#103×C₄₁	C₂³	1	1	yes	characteristic
446	#103×C₄₁	C₂³	1	1	yes	characteristic
447	#103×C₄₁	C₂³	1	1	yes	characteristic
448	#103×C₄₁	C₂³	1	1	yes	characteristic
449	#103×C₄₁	C₂³	1	1	yes	characteristic
450	#103×C₄₁	C₂³	1	1	yes	characteristic
451	#103×C₄₁	C₂³	1	1	yes	characteristic
452	#103×C₄₁	C₂³	1	1	yes	characteristic
453	#103×C₄₁	C₂³	1	1	yes	characteristic
454	#103×C₄₁	C₂³	1	1	yes	characteristic
455	#103×C₄₁	C₂³	1	1	yes	characteristic
456	#102×C₄₁	C₂³	1	1	yes	characteristic
457	#102×C₄₁	C₂³	1	1	yes	characteristic
458	#102×C₄₁	C₂³	1	1	yes	characteristic
459	#102×C₄₁	C₂³	1	1	yes	characteristic
460	#102×C₄₁	C₂³	1	1	yes	characteristic
461	#102×C₄₁	C₂³	1	1	yes	characteristic
462	#102×C₄₁	C₂³	1	1	yes	characteristic
463	#102×C₄₁	C₂³	1	1	yes	characteristic
464	#102×C₄₁	C₂³	1	1	yes	characteristic
465	#102×C₄₁	C₂³	1	1	yes	characteristic
466	#102×C₄₁	C₂³	1	1	yes	characteristic
467	#102×C₄₁	C₂³	1	1	yes	characteristic
468	#102×C₄₁	C₂³	1	1	yes	characteristic
469	#102×C₄₁	C₂³	1	1	yes	characteristic
470	#102×C₄₁	C₂³	1	1	yes	characteristic
471	#102×C₄₁	C₂³	1	1	yes	characteristic
472	C₂²⋊C₈×C₄₁	C₂³	1	1	yes	characteristic
473	C₂²⋊C₈×C₄₁	C₂³	1	1	yes	characteristic
474	C₂²⋊C₈×C₄₁	C₂³	1	1	yes	characteristic
475	C₂²⋊C₈×C₄₁	C₂³	1	1	yes	characteristic
476	C₂²⋊C₈×C₄₁	C₂³	1	1	yes	characteristic
477	C₂²⋊C₈×C₄₁	C₂³	1	1	yes	characteristic
478	#97×C₄₁	C₂³	1	1	yes	characteristic
479	#97×C₄₁	C₂³	1	1	yes	characteristic
480	#97×C₄₁	C₂³	1	1	yes	characteristic
481	#97×C₄₁	C₂³	1	1	yes	characteristic
482	C₄×C₈×C₄₁	C₂³	1	1	yes	characteristic
483	C₄×C₈×C₄₁	C₂³	1	1	yes	characteristic
484	C₂⁴×C₄₁	—	2	1	no	—
485	#41×C₄₁	—	2	2	no	—
486	#41×C₄₁	—	2	2	no	—
487	#41×C₄₁	—	4	1	no	—
488	#41×C₄₁	—	4	1	no	—
489	#41×C₄₁	—	4	1	no	—
490	#41×C₄₁	—	4	1	no	—
491	#41×C₄₁	—	4	1	no	—
492	#41×C₄₁	—	4	1	no	—
493	#41×C₄₁	—	4	1	no	—
494	#41×C₄₁	—	4	1	no	—
495	#41×C₄₁	—	4	1	no	—
496	#41×C₄₁	—	4	1	no	—
497	#41×C₄₁	—	8	2	no	—
498	#41×C₄₁	—	8	2	no	—
499	#41×C₄₁	—	8	2	no	—
500	C₂×Q₈×C₄₁	—	2	1	no	—
501	C₂×Q₈×C₄₁	—	2	1	no	—
502	C₂×Q₈×C₄₁	—	2	1	no	—
503	C₂×Q₈×C₄₁	—	2	1	no	—
504	C₂×Q₈×C₄₁	—	2	1	no	—
505	C₂×Q₈×C₄₁	—	2	2	no	—
506	C₂×Q₈×C₄₁	—	4	1	no	—
507	C₂×Q₈×C₄₁	—	4	1	no	—
508	C₂×Q₈×C₄₁	—	4	1	no	—
509	C₂×Q₈×C₄₁	C₂×D₄	1	1	yes	characteristic
510	C₂×Q₈×C₄₁	C₂⁴	1	1	yes	characteristic
511	C₂×Q₈×C₄₁	C₂⁴	1	1	yes	characteristic
512	C₂×Q₈×C₄₁	C₂⁴	1	1	yes	characteristic
513	C₂×Q₈×C₄₁	C₂⁴	1	1	yes	characteristic
514	C₂×Q₈×C₄₁	C₂⁴	1	1	yes	characteristic
515	C₂×D₄×C₄₁	—	2	1	no	—
516	C₂×D₄×C₄₁	—	2	1	no	—
517	C₂×D₄×C₄₁	—	2	1	no	—
518	C₂×D₄×C₄₁	—	2	1	no	—
519	C₂×D₄×C₄₁	—	2	1	no	—
520	C₂×D₄×C₄₁	—	2	1	no	—
521	C₂×D₄×C₄₁	—	2	1	no	—
522	C₂×D₄×C₄₁	—	2	1	no	—
523	C₂×D₄×C₄₁	—	2	1	no	—
524	C₂×D₄×C₄₁	—	2	1	no	—
525	C₂×D₄×C₄₁	—	2	1	no	—
526	C₂×D₄×C₄₁	—	2	1	no	—
527	C₂×D₄×C₄₁	—	2	1	no	—
528	C₂×D₄×C₄₁	—	2	1	no	—
529	C₂×D₄×C₄₁	—	2	1	no	—
530	C₂×D₄×C₄₁	—	2	1	no	—
531	C₂×D₄×C₄₁	—	2	1	no	—
532	C₂×D₄×C₄₁	—	2	1	no	—
533	C₂×D₄×C₄₁	—	2	1	no	—
534	C₂×D₄×C₄₁	—	2	1	no	—
535	C₂×D₄×C₄₁	—	4	1	no	—
536	C₂×D₄×C₄₁	—	4	1	no	—
537	C₂×D₄×C₄₁	C₂×D₄	1	1	yes	characteristic
538	C₂×D₄×C₄₁	C₂×D₄	1	1	yes	characteristic
539	C₂×D₄×C₄₁	C₂×D₄	1	1	yes	characteristic
540	C₂×D₄×C₄₁	C₂⁴	1	1	yes	characteristic
541	C₂×D₄×C₄₁	C₂⁴	1	1	yes	characteristic
542	C₂×D₄×C₄₁	C₂⁴	1	1	yes	characteristic
543	C₂×D₄×C₄₁	C₂⁴	1	1	yes	characteristic
544	C₂×D₄×C₄₁	C₂⁴	1	1	yes	characteristic
545	C₂²×C₄×C₄₁	—	2	1	no	—
546	C₂²×C₄×C₄₁	—	2	1	no	—
547	C₂²×C₄×C₄₁	—	2	1	no	—
548	C₂²×C₄×C₄₁	—	2	1	no	—
549	C₂²×C₄×C₄₁	—	2	1	no	—
550	C₂²×C₄×C₄₁	—	2	1	no	—
551	C₂²×C₄×C₄₁	—	2	1	no	—
552	C₂²×C₄×C₄₁	—	2	1	no	—
553	C₂²×C₄×C₄₁	—	2	1	no	—
554	C₂²×C₄×C₄₁	—	2	1	no	—
555	C₂²×C₄×C₄₁	—	2	1	no	—
556	C₂²×C₄×C₄₁	—	2	1	no	—
557	C₂²×C₄×C₄₁	—	2	1	no	—
558	C₂²×C₄×C₄₁	—	2	1	no	—
559	C₂²×C₄×C₄₁	—	2	1	no	—
560	C₂²×C₄×C₄₁	—	2	1	no	—
561	C₂²×C₄×C₄₁	—	2	1	no	—
562	C₂²×C₄×C₄₁	—	2	1	no	—
563	C₂²×C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
564	C₂²×C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
565	C₂²×C₄×C₄₁	C₂⁴	1	1	yes	characteristic
566	C₂²×C₄×C₄₁	C₂⁴	1	1	yes	characteristic
567	C₂²×C₄×C₄₁	C₂⁴	1	1	yes	characteristic
568	Q₁₆×C₄₁	—	2	2	no	—
569	Q₁₆×C₄₁	—	2	2	no	—
570	Q₁₆×C₄₁	—	2	2	no	—
571	Q₁₆×C₄₁	—	4	1	no	—
572	Q₁₆×C₄₁	—	4	1	no	—
573	Q₁₆×C₄₁	—	4	1	no	—
574	SD₁₆×C₄₁	—	2	2	no	—
575	SD₁₆×C₄₁	—	2	2	no	—
576	SD₁₆×C₄₁	—	2	2	no	—
577	SD₁₆×C₄₁	—	4	1	no	—
578	SD₁₆×C₄₁	—	4	1	no	—
579	SD₁₆×C₄₁	—	4	1	no	—
580	SD₁₆×C₄₁	—	4	1	no	—
581	SD₁₆×C₄₁	—	4	1	no	—
582	SD₁₆×C₄₁	—	4	1	no	—
583	SD₁₆×C₄₁	—	4	1	no	—
584	SD₁₆×C₄₁	—	4	1	no	—
585	SD₁₆×C₄₁	—	4	1	no	—
586	D₈×C₄₁	—	4	1	no	—
587	D₈×C₄₁	—	4	1	no	—
588	D₈×C₄₁	—	4	1	no	—
589	D₈×C₄₁	—	4	1	no	—
590	D₈×C₄₁	—	4	1	no	—
591	D₈×C₄₁	—	4	1	no	—
592	M₁₆×C₄₁	—	4	1	no	—
593	M₁₆×C₄₁	—	4	1	no	—
594	M₁₆×C₄₁	—	4	1	no	—
595	M₁₆×C₄₁	—	4	1	no	—
596	C₂×C₈×C₄₁	—	4	1	no	—
597	C₂×C₈×C₄₁	—	4	1	no	—
598	C₂×C₈×C₄₁	C₂⁴	1	1	yes	characteristic
599	C₂×C₈×C₄₁	C₂⁴	1	1	yes	characteristic
600	C₂×C₈×C₄₁	C₂⁴	1	1	yes	characteristic
601	C₂×C₈×C₄₁	C₂⁴	1	1	yes	characteristic
602	C₂×C₈×C₄₁	C₂⁴	1	1	yes	characteristic
603	C₂×C₈×C₄₁	C₂⁴	1	1	yes	characteristic
604	C₂×C₈×C₄₁	C₂⁴	1	1	yes	characteristic
605	C₂×C₈×C₄₁	C₂⁴	1	1	yes	characteristic
606	C₄⋊C₄×C₄₁	—	2	1	no	—
607	C₄⋊C₄×C₄₁	—	2	1	no	—
608	C₄⋊C₄×C₄₁	—	2	1	no	—
609	C₄⋊C₄×C₄₁	—	2	1	no	—
610	C₄⋊C₄×C₄₁	—	2	1	no	—
611	C₄⋊C₄×C₄₁	—	2	1	no	—
612	C₄⋊C₄×C₄₁	—	2	1	no	—
613	C₄⋊C₄×C₄₁	—	2	1	no	—
614	C₄⋊C₄×C₄₁	—	2	1	no	—
615	C₄⋊C₄×C₄₁	—	2	1	no	—
616	C₄⋊C₄×C₄₁	—	2	1	no	—
617	C₄⋊C₄×C₄₁	—	2	1	no	—
618	C₄⋊C₄×C₄₁	—	2	1	no	—
619	C₄⋊C₄×C₄₁	—	2	1	no	—
620	C₄⋊C₄×C₄₁	—	2	1	no	—
621	C₄⋊C₄×C₄₁	—	2	1	no	—
622	C₄⋊C₄×C₄₁	—	2	1	no	—
623	C₄⋊C₄×C₄₁	—	2	1	no	—
624	C₄⋊C₄×C₄₁	—	2	1	no	—
625	C₄⋊C₄×C₄₁	—	2	1	no	—
626	C₄⋊C₄×C₄₁	—	2	1	no	—
627	C₄⋊C₄×C₄₁	—	2	1	no	—
628	C₄⋊C₄×C₄₁	—	2	1	no	—
629	C₄⋊C₄×C₄₁	—	2	1	no	—
630	C₄⋊C₄×C₄₁	—	2	1	no	—
631	C₄⋊C₄×C₄₁	—	2	1	no	—
632	C₄⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
633	C₄⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
634	C₄⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
635	C₄⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
636	C₄⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
637	C₄⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
638	C₄⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
639	C₄⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
640	C₄⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
641	C₄⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
642	C₄⋊C₄×C₄₁	C₂⁴	1	1	yes	characteristic
643	C₄⋊C₄×C₄₁	C₂⁴	1	1	yes	characteristic
644	C₄⋊C₄×C₄₁	C₂⁴	1	1	yes	characteristic
645	C₄⋊C₄×C₄₁	C₂⁴	1	1	yes	characteristic
646	C₄⋊C₄×C₄₁	C₂⁴	1	1	yes	characteristic
647	C₄⋊C₄×C₄₁	C₂⁴	1	1	yes	characteristic
648	C₂²⋊C₄×C₄₁	—	2	1	no	—
649	C₂²⋊C₄×C₄₁	—	2	1	no	—
650	C₂²⋊C₄×C₄₁	—	2	1	no	—
651	C₂²⋊C₄×C₄₁	—	2	1	no	—
652	C₂²⋊C₄×C₄₁	—	2	1	no	—
653	C₂²⋊C₄×C₄₁	—	2	1	no	—
654	C₂²⋊C₄×C₄₁	—	2	1	no	—
655	C₂²⋊C₄×C₄₁	—	2	1	no	—
656	C₂²⋊C₄×C₄₁	—	2	1	no	—
657	C₂²⋊C₄×C₄₁	—	2	1	no	—
658	C₂²⋊C₄×C₄₁	—	2	1	no	—
659	C₂²⋊C₄×C₄₁	—	2	1	no	—
660	C₂²⋊C₄×C₄₁	—	2	1	no	—
661	C₂²⋊C₄×C₄₁	—	2	1	no	—
662	C₂²⋊C₄×C₄₁	—	2	1	no	—
663	C₂²⋊C₄×C₄₁	—	2	1	no	—
664	C₂²⋊C₄×C₄₁	—	2	1	no	—
665	C₂²⋊C₄×C₄₁	—	2	1	no	—
666	C₂²⋊C₄×C₄₁	—	2	1	no	—
667	C₂²⋊C₄×C₄₁	—	2	1	no	—
668	C₂²⋊C₄×C₄₁	—	2	1	no	—
669	C₂²⋊C₄×C₄₁	—	2	1	no	—
670	C₂²⋊C₄×C₄₁	—	2	1	no	—
671	C₂²⋊C₄×C₄₁	—	2	1	no	—
672	C₂²⋊C₄×C₄₁	—	2	1	no	—
673	C₂²⋊C₄×C₄₁	—	2	1	no	—
674	C₂²⋊C₄×C₄₁	—	2	1	no	—
675	C₂²⋊C₄×C₄₁	—	2	1	no	—
676	C₂²⋊C₄×C₄₁	—	2	1	no	—
677	C₂²⋊C₄×C₄₁	—	2	1	no	—
678	C₂²⋊C₄×C₄₁	—	2	1	no	—
679	C₂²⋊C₄×C₄₁	—	2	1	no	—
680	C₂²⋊C₄×C₄₁	—	2	1	no	—
681	C₂²⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
682	C₂²⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
683	C₂²⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
684	C₂²⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
685	C₂²⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
686	C₂²⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
687	C₂²⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
688	C₂²⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
689	C₂²⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
690	C₂²⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
691	C₄²×C₄₁	—	2	1	no	—
692	C₄²×C₄₁	—	2	1	no	—
693	C₄²×C₄₁	—	2	1	no	—
694	C₄²×C₄₁	—	2	1	no	—
695	C₄²×C₄₁	—	2	1	no	—
696	C₄²×C₄₁	—	2	1	no	—
697	C₄²×C₄₁	—	2	1	no	—
698	C₄²×C₄₁	—	2	1	no	—
699	C₄²×C₄₁	—	2	1	no	—
700	C₄²×C₄₁	C₂×D₄	1	1	yes	characteristic
701	C₄²×C₄₁	C₂×D₄	1	1	yes	characteristic
702	C₄²×C₄₁	C₂⁴	1	1	yes	characteristic
703	C₄²×C₄₁	C₂⁴	1	1	yes	characteristic
704	C₄²×C₄₁	C₂⁴	1	1	yes	characteristic
705	C₄²×C₄₁	C₂⁴	1	1	yes	characteristic
706	C₂³×C₄₁	—	2	1	no	—
707	C₂³×C₄₁	—	2	1	no	—
708	C₂³×C₄₁	—	2	1	no	—
709	C₂³×C₄₁	—	2	1	no	—
710	C₂³×C₄₁	—	2	1	no	—
711	C₂³×C₄₁	—	8	1	no	—
712	C₂³×C₄₁	—	8	1	no	—
713	C₂³×C₄₁	—	8	1	no	—
714	C₂³×C₄₁	C₂²×D₄	1	1	yes	characteristic
715	C₂³×C₄₁	C₂²×D₄	1	1	yes	characteristic
716	C₂³×C₄₁	C₂²×D₄	1	1	yes	characteristic
717	Q₈×C₄₁	—	2	1	no	—
718	Q₈×C₄₁	—	2	1	no	—
719	Q₈×C₄₁	—	2	1	no	—
720	Q₈×C₄₁	—	2	1	no	—
721	Q₈×C₄₁	—	2	1	no	—
722	Q₈×C₄₁	—	2	1	no	—
723	Q₈×C₄₁	—	2	1	no	—
724	Q₈×C₄₁	—	2	1	no	—
725	Q₈×C₄₁	—	2	1	no	—
726	Q₈×C₄₁	—	4	1	no	—
727	Q₈×C₄₁	—	4	2	no	—
728	Q₈×C₄₁	—	8	1	no	—
729	Q₈×C₄₁	—	8	1	no	—
730	Q₈×C₄₁	—	8	1	no	—
731	Q₈×C₄₁	—	8	1	no	—
732	Q₈×C₄₁	H(5,𝔽₂)	1	2	yes	—
733	D₄×C₄₁	—	2	1	no	—
734	D₄×C₄₁	—	2	1	no	—
735	D₄×C₄₁	—	2	1	no	—
736	D₄×C₄₁	—	2	1	no	—
737	D₄×C₄₁	—	2	1	no	—
738	D₄×C₄₁	—	2	1	no	—
739	D₄×C₄₁	—	2	1	no	—
740	D₄×C₄₁	—	2	1	no	—
741	D₄×C₄₁	—	2	1	no	—
742	D₄×C₄₁	—	2	1	no	—
743	D₄×C₄₁	—	4	1	no	—
744	D₄×C₄₁	—	4	1	no	—
745	D₄×C₄₁	—	4	1	no	—
746	D₄×C₄₁	—	4	2	no	—
747	D₄×C₄₁	—	4	2	no	—
748	D₄×C₄₁	—	4	2	no	—
749	D₄×C₄₁	—	4	2	no	—
750	D₄×C₄₁	—	4	2	no	—
751	D₄×C₄₁	—	8	1	no	—
752	D₄×C₄₁	—	8	1	no	—
753	D₄×C₄₁	—	8	1	no	—
754	D₄×C₄₁	—	8	1	no	—
755	D₄×C₄₁	—	8	1	no	—
756	D₄×C₄₁	—	8	1	no	—
757	D₄×C₄₁	—	8	1	no	—
758	D₄×C₄₁	—	8	1	no	—
759	D₄×C₄₁	—	8	1	no	—
760	D₄×C₄₁	—	8	1	no	—
761	D₄×C₄₁	—	8	1	no	—
762	D₄×C₄₁	—	8	1	no	—
763	D₄×C₄₁	—	8	1	no	—
764	D₄×C₄₁	—	8	1	no	—
765	D₄×C₄₁	—	8	1	no	—
766	C₂×C₄×C₄₁	—	2	1	no	—
767	C₂×C₄×C₄₁	—	2	1	no	—
768	C₂×C₄×C₄₁	—	2	1	no	—
769	C₂×C₄×C₄₁	—	2	1	no	—
770	C₂×C₄×C₄₁	—	2	1	no	—
771	C₂×C₄×C₄₁	—	2	1	no	—
772	C₂×C₄×C₄₁	—	2	1	no	—
773	C₂×C₄×C₄₁	—	2	1	no	—
774	C₂×C₄×C₄₁	—	2	1	no	—
775	C₂×C₄×C₄₁	—	2	1	no	—
776	C₂×C₄×C₄₁	—	2	1	no	—
777	C₂×C₄×C₄₁	—	2	1	no	—
778	C₂×C₄×C₄₁	—	2	1	no	—
779	C₂×C₄×C₄₁	—	2	1	no	—
780	C₂×C₄×C₄₁	—	2	1	no	—
781	C₂×C₄×C₄₁	—	2	1	no	—
782	C₂×C₄×C₄₁	—	2	1	no	—
783	C₂×C₄×C₄₁	—	4	1	no	—
784	C₂×C₄×C₄₁	—	4	1	no	—
785	C₂×C₄×C₄₁	—	4	2	no	—
786	C₂×C₄×C₄₁	—	4	2	no	—
787	C₂×C₄×C₄₁	—	4	2	no	—
788	C₂×C₄×C₄₁	—	4	2	no	—
789	C₂×C₄×C₄₁	—	8	1	no	—
790	C₂×C₄×C₄₁	—	8	1	no	—
791	C₂×C₄×C₄₁	—	8	1	no	—
792	C₂×C₄×C₄₁	—	8	1	no	—
793	C₂×C₄×C₄₁	—	8	1	no	—
794	C₂×C₄×C₄₁	—	8	1	no	—
795	C₂×C₄×C₄₁	—	8	1	no	—
796	C₂×C₄×C₄₁	—	8	1	no	—
797	C₂×C₄×C₄₁	—	8	1	no	—
798	C₂×C₄×C₄₁	—	8	1	no	—
799	C₂×C₄×C₄₁	—	8	1	no	—
800	C₂×C₄×C₄₁	—	8	1	no	—
801	C₂×C₄×C₄₁	—	8	1	no	—
802	C₂×C₄×C₄₁	—	8	1	no	—
803	C₂×C₄×C₄₁	C₂²×D₄	1	1	yes	characteristic
804	C₂×C₄×C₄₁	C₂²×D₄	1	1	yes	characteristic
805	C₂×C₄×C₄₁	C₂²×D₄	1	1	yes	characteristic
806	C₂×C₄×C₄₁	C₂²×D₄	1	1	yes	characteristic
807	C₂×C₄×C₄₁	C₂²×D₄	1	1	yes	characteristic
808	C₂×C₄×C₄₁	C₂²×D₄	1	1	yes	characteristic
809	C₂×C₄×C₄₁	C₂²×D₄	1	1	yes	characteristic
810	C₂×C₄×C₄₁	C₂²×D₄	1	1	yes	characteristic
811	C₂×C₄×C₄₁	C₂²×D₄	1	1	yes	characteristic
812	C₂×C₄×C₄₁	C₂²×D₄	1	1	yes	characteristic
813	C₂×C₄×C₄₁	C₂²×D₄	1	1	yes	characteristic
814	C₂×C₄×C₄₁	C₂⁵	1	1	yes	characteristic
815	C₈×C₄₁	—	2	1	no	—
816	C₈×C₄₁	—	2	1	no	—
817	C₈×C₄₁	—	2	1	no	—
818	C₈×C₄₁	—	2	1	no	—
819	C₈×C₄₁	—	2	1	no	—
820	C₈×C₄₁	—	2	1	no	—
821	C₈×C₄₁	—	2	1	no	—
822	C₈×C₄₁	—	2	1	no	—
823	#62078	C₄₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
824	C₂²×C₄₁	—	2	1	no	—
825	C₂²×C₄₁	—	2	1	no	—
826	C₂²×C₄₁	—	2	1	no	—
827	C₂²×C₄₁	—	2	1	no	—
828	C₂²×C₄₁	—	2	1	no	—
829	C₂²×C₄₁	—	2	1	no	—
830	C₂²×C₄₁	—	2	1	no	—
831	C₂²×C₄₁	—	2	1	no	—
832	C₂²×C₄₁	—	2	1	no	—
833	C₂²×C₄₁	—	4	1	no	—
834	C₂²×C₄₁	—	4	1	no	—
835	C₂²×C₄₁	—	4	1	no	—
836	C₂²×C₄₁	—	4	1	no	—
837	C₂²×C₄₁	—	4	1	no	—
838	C₂²×C₄₁	—	4	1	no	—
839	C₂²×C₄₁	—	4	1	no	—
840	C₂²×C₄₁	—	4	1	no	—
841	C₂²×C₄₁	—	4	1	no	—
842	C₂²×C₄₁	—	4	1	no	—
843	C₂²×C₄₁	—	4	1	no	—
844	C₂²×C₄₁	—	4	1	no	—
845	C₂²×C₄₁	—	4	1	no	—
846	C₂²×C₄₁	—	4	1	no	—
847	C₂²×C₄₁	—	4	1	no	—
848	C₂²×C₄₁	—	16	2	no	—
849	C₂²×C₄₁	C₂³×D₄	1	1	yes	characteristic
850	C₄×C₄₁	—	2	1	no	—
851	C₄×C₄₁	—	2	1	no	—
852	C₄×C₄₁	—	2	1	no	—
853	C₄×C₄₁	—	2	1	no	—
854	C₄×C₄₁	—	2	1	no	—
855	C₄×C₄₁	—	2	1	no	—
856	C₄×C₄₁	—	2	1	no	—
857	C₄×C₄₁	—	2	1	no	—
858	C₄×C₄₁	—	2	1	no	—
859	C₄×C₄₁	—	2	1	no	—
860	C₄×C₄₁	—	2	1	no	—
861	C₄×C₄₁	—	2	2	no	—
862	C₄×C₄₁	—	4	1	no	—
863	C₄×C₄₁	—	4	1	no	—
864	C₄×C₄₁	—	4	1	no	—
865	C₄×C₄₁	—	4	1	no	—
866	C₄×C₄₁	—	4	1	no	—
867	C₄×C₄₁	—	4	1	no	—
868	C₄×C₄₁	—	4	1	no	—
869	C₄×C₄₁	—	4	1	no	—
870	C₄×C₄₁	—	4	1	no	—
871	C₄×C₄₁	—	4	1	no	—
872	C₄×C₄₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
873	C₄×C₄₁	#585	1	1	yes	characteristic
874	#3562	C₂×C₄₁	1	1	yes	characteristic, complemented
875	#3522	C₂×C₄₁	1	1	yes	characteristic, complemented
876	#3403	C₂×C₄₁	1	1	yes	characteristic, complemented
877	#3401	C₂×C₄₁	1	1	yes	characteristic, complemented
878	#3375	C₂×C₄₁	1	1	yes	characteristic, complemented
879	#3369	C₂×C₄₁	1	1	yes	characteristic, complemented
880	#3332	C₂×C₄₁	1	1	yes	characteristic, complemented
881	#3330	C₂×C₄₁	1	1	yes	characteristic, complemented
882	#3316	C₂×C₄₁	1	1	yes	characteristic, complemented
883	#3314	C₂×C₄₁	1	1	yes	characteristic, complemented
884	#3308	C₂×C₄₁	1	1	yes	characteristic, complemented
885	#3306	C₂×C₄₁	1	1	yes	characteristic, complemented
886	#3277	C₂×C₄₁	1	1	yes	characteristic, complemented
887	#3275	C₂×C₄₁	1	1	yes	characteristic, complemented
888	#3271	C₂×C₄₁	1	1	yes	characteristic, complemented
889	#3271	C₂×C₄₁	1	1	yes	characteristic, complemented
890	#3269	C₂×C₄₁	1	1	yes	characteristic, complemented
891	#3268	C₂×C₄₁	1	1	yes	characteristic, complemented
892	#3258	C₂×C₄₁	1	1	yes	characteristic, complemented
893	#3257	C₂×C₄₁	1	1	yes	characteristic, complemented
894	#3251	C₂×C₄₁	1	1	yes	characteristic, complemented
895	#3225	C₂×C₄₁	1	1	yes	characteristic, complemented
896	#3224	C₂×C₄₁	1	1	yes	characteristic, complemented
897	#3214	C₂×C₄₁	1	1	yes	characteristic, complemented
898	#3120	C₂×C₄₁	1	1	yes	characteristic, complemented
899	#3119	C₂×C₄₁	1	1	yes	characteristic, complemented
900	#3117	C₂×C₄₁	1	1	yes	characteristic, complemented
901	#3046	C₂×C₄₁	1	1	yes	characteristic, complemented
902	#3045	C₂×C₄₁	1	1	yes	characteristic, complemented
903	#3037	C₂×C₄₁	1	1	yes	characteristic, complemented
904	#2995	C₂×C₄₁	1	1	yes	characteristic, complemented
905	C₂×C₄₁	—	4	1	no	—
906	C₂×C₄₁	—	4	1	no	—
907	C₂×C₄₁	—	4	1	no	—
908	C₂×C₄₁	—	8	1	no	—
909	C₂×C₄₁	—	8	1	no	—
910	C₂×C₄₁	—	8	1	no	—
911	C₂×C₄₁	—	8	1	no	—
912	C₂×C₄₁	—	8	1	no	—
913	C₂×C₄₁	#3488	1	1	yes	characteristic
914	C₂×C₄₁	#3585	1	1	yes	characteristic
915	C₂×C₄₁	#3586	1	1	yes	characteristic
916	C₂×#137	C₂²×C₄₁	1	1	yes	characteristic
917	C₂×#137	C₂²×C₄₁	1	1	yes	characteristic, complemented
918	C₂×#137	C₂²×C₄₁	1	1	yes	characteristic, complemented
919	C₂×AGL(1,ℤ/8)	C₂²×C₄₁	1	1	yes	characteristic
920	C₂×#135	C₂²×C₄₁	1	1	yes	characteristic
921	C₂×#135	C₂²×C₄₁	1	1	yes	characteristic
922	#562	—	2	1	no	—
923	#560	—	2	1	no	—
924	#559	—	2	1	no	—
925	#559	C₂²×C₄₁	1	1	yes	characteristic
926	#559	C₂²×C₄₁	1	1	yes	characteristic, complemented
927	Q₈²	C₂²×C₄₁	1	1	yes	characteristic, complemented
928	#556	C₂²×C₄₁	1	1	yes	characteristic
929	#554	—	2	1	no	—
930	#554	C₂²×C₄₁	1	1	yes	characteristic
931	#553	—	2	1	no	—
932	#551	—	2	1	no	—
933	#550	C₂²×C₄₁	1	1	yes	characteristic
934	#550	C₂²×C₄₁	1	1	yes	characteristic
935	#548	C₂²×C₄₁	1	1	yes	characteristic
936	#548	C₂²×C₄₁	1	1	yes	characteristic
937	#548	C₂²×C₄₁	1	1	yes	characteristic
938	#548	C₂²×C₄₁	1	1	yes	characteristic, complemented
939	#547	—	2	1	no	—
940	#547	—	2	1	no	—
941	#547	C₂²×C₄₁	1	1	yes	characteristic
942	#547	C₂²×C₄₁	1	1	yes	characteristic
943	#547	C₂²×C₄₁	1	1	yes	characteristic, complemented
944	#546	C₂²×C₄₁	1	1	yes	characteristic
945	#546	C₂²×C₄₁	1	1	yes	characteristic
946	#542	—	2	1	no	—
947	#542	—	2	1	no	—
948	#542	C₂²×C₄₁	1	1	yes	characteristic
949	#542	C₂²×C₄₁	1	1	yes	characteristic, complemented
950	#541	C₂²×C₄₁	1	1	yes	characteristic
951	#540	—	2	1	no	—
952	#540	C₂²×C₄₁	1	1	yes	characteristic
953	#539	—	2	1	no	—
954	#538	—	2	1	no	—
955	#538	—	2	1	no	—
956	#536	C₂²×C₄₁	1	1	yes	characteristic
957	#535	C₂²×C₄₁	1	1	yes	characteristic
958	#532	—	2	1	no	—
959	#532	C₂²×C₄₁	1	1	yes	characteristic
960	#532	C₂²×C₄₁	1	1	yes	characteristic, complemented
961	#529	—	2	1	no	—
962	#529	C₂²×C₄₁	1	1	yes	characteristic
963	#529	C₂²×C₄₁	1	1	yes	characteristic
964	#520	C₂²×C₄₁	1	1	yes	characteristic
965	#520	C₂²×C₄₁	1	1	yes	characteristic, complemented
966	C₂×C₄×Q₈	C₂²×C₄₁	1	1	yes	characteristic, complemented
967	#497	C₂²×C₄₁	1	1	yes	characteristic, complemented
968	#496	C₂²×C₄₁	1	1	yes	characteristic
969	#496	C₂²×C₄₁	1	1	yes	characteristic
970	#496	C₂²×C₄₁	1	1	yes	characteristic, complemented
971	#495	C₂²×C₄₁	1	1	yes	characteristic
972	#495	C₂²×C₄₁	1	1	yes	characteristic
973	#489	C₂²×C₄₁	1	1	yes	characteristic
974	#489	C₂²×C₄₁	1	1	yes	characteristic
975	#489	C₂²×C₄₁	1	1	yes	characteristic
976	#489	C₂²×C₄₁	1	1	yes	characteristic, complemented
977	#487	C₂²×C₄₁	1	1	yes	characteristic, complemented
978	#486	C₂²×C₄₁	1	1	yes	characteristic
979	#484	C₂²×C₄₁	1	1	yes	characteristic
980	#484	C₂²×C₄₁	1	1	yes	characteristic, complemented
981	#483	C₂²×C₄₁	1	1	yes	characteristic
982	#481	C₂²×C₄₁	1	1	yes	characteristic
983	#481	C₂²×C₄₁	1	1	yes	characteristic, complemented
984	#480	C₂²×C₄₁	1	1	yes	characteristic
985	#479	C₂²×C₄₁	1	1	yes	characteristic, complemented
986	#479	C₂²×C₄₁	1	1	yes	characteristic, complemented
987	#478	C₂²×C₄₁	1	1	yes	characteristic, complemented
988	#478	C₂²×C₄₁	1	1	yes	characteristic, complemented
989	#477	C₂²×C₄₁	1	1	yes	characteristic, complemented
990	#476	C₂²×C₄₁	1	1	yes	characteristic
991	#475	C₂²×C₄₁	1	1	yes	characteristic, complemented
992	#475	C₂²×C₄₁	1	1	yes	characteristic, complemented
993	#474	C₂²×C₄₁	1	1	yes	characteristic
994	#474	C₂²×C₄₁	1	1	yes	characteristic, complemented
995	#470	C₂²×C₄₁	1	1	yes	characteristic
996	#469	C₂²×C₄₁	1	1	yes	characteristic
997	#469	C₂²×C₄₁	1	1	yes	characteristic
998	#469	C₂²×C₄₁	1	1	yes	characteristic, complemented
999	#468	C₂²×C₄₁	1	1	yes	characteristic
1000	#468	C₂²×C₄₁	1	1	yes	characteristic
1001	#468	C₂²×C₄₁	1	1	yes	characteristic, complemented
1002	#468	C₂²×C₄₁	1	1	yes	characteristic, complemented
1003	#467	C₂²×C₄₁	1	1	yes	characteristic
1004	#466	C₂²×C₄₁	1	1	yes	characteristic
1005	#465	C₂²×C₄₁	1	1	yes	characteristic
1006	#465	C₂²×C₄₁	1	1	yes	characteristic, complemented
1007	#464	C₂²×C₄₁	1	1	yes	characteristic
1008	#464	C₂²×C₄₁	1	1	yes	characteristic
1009	#464	C₂²×C₄₁	1	1	yes	characteristic
1010	#464	C₂²×C₄₁	1	1	yes	characteristic
1011	#464	C₂²×C₄₁	1	1	yes	characteristic
1012	#464	C₂²×C₄₁	1	1	yes	characteristic
1013	#464	C₂²×C₄₁	1	1	yes	characteristic, complemented
1014	#464	C₂²×C₄₁	1	1	yes	characteristic, complemented
1015	#464	C₂²×C₄₁	1	1	yes	characteristic, complemented
1016	#464	C₂²×C₄₁	1	1	yes	characteristic, complemented
1017	#463	C₂²×C₄₁	1	1	yes	characteristic
1018	#463	C₂²×C₄₁	1	1	yes	characteristic
1019	#463	C₂²×C₄₁	1	1	yes	characteristic
1020	#463	C₂²×C₄₁	1	1	yes	characteristic
1021	#463	C₂²×C₄₁	1	1	yes	characteristic
1022	#463	C₂²×C₄₁	1	1	yes	characteristic, complemented
1023	#462	C₂²×C₄₁	1	1	yes	characteristic, complemented
1024	#462	C₂²×C₄₁	1	1	yes	characteristic, complemented
1025	#462	C₂²×C₄₁	1	1	yes	characteristic, complemented
1026	#461	C₂²×C₄₁	1	1	yes	characteristic, complemented
1027	#461	C₂²×C₄₁	1	1	yes	characteristic, complemented
1028	#461	C₂²×C₄₁	1	1	yes	characteristic, complemented
1029	#460	C₂²×C₄₁	1	1	yes	characteristic
1030	#460	C₂²×C₄₁	1	1	yes	characteristic
1031	#460	C₂²×C₄₁	1	1	yes	characteristic
1032	#460	C₂²×C₄₁	1	1	yes	characteristic, complemented
1033	#459	C₂²×C₄₁	1	1	yes	characteristic
1034	#459	C₂²×C₄₁	1	1	yes	characteristic
1035	#459	C₂²×C₄₁	1	1	yes	characteristic
1036	#459	C₂²×C₄₁	1	1	yes	characteristic
1037	#452	C₂²×C₄₁	1	1	yes	characteristic
1038	#452	C₂²×C₄₁	1	1	yes	characteristic
1039	#452	C₂²×C₄₁	1	1	yes	characteristic
1040	#452	C₂²×C₄₁	1	1	yes	characteristic
1041	#451	C₂²×C₄₁	1	1	yes	characteristic, complemented
1042	#451	C₂²×C₄₁	1	1	yes	characteristic, complemented
1043	#450	C₂²×C₄₁	1	1	yes	characteristic
1044	#449	C₂²×C₄₁	1	1	yes	characteristic
1045	#449	C₂²×C₄₁	1	1	yes	characteristic
1046	#449	C₂²×C₄₁	1	1	yes	characteristic
1047	#449	C₂²×C₄₁	1	1	yes	characteristic
1048	#449	C₂²×C₄₁	1	1	yes	characteristic
1049	#449	C₂²×C₄₁	1	1	yes	characteristic, complemented
1050	#449	C₂²×C₄₁	1	1	yes	characteristic, complemented
1051	#449	C₂²×C₄₁	1	1	yes	characteristic, complemented
1052	#448	C₂²×C₄₁	1	1	yes	characteristic
1053	#448	C₂²×C₄₁	1	1	yes	characteristic, complemented
1054	#447	C₂²×C₄₁	1	1	yes	characteristic
1055	#446	C₂²×C₄₁	1	1	yes	characteristic, complemented
1056	#446	C₂²×C₄₁	1	1	yes	characteristic, complemented
1057	#442	C₂²×C₄₁	1	1	yes	characteristic
1058	#441	C₂²×C₄₁	1	1	yes	characteristic, complemented
1059	#441	C₂²×C₄₁	1	1	yes	characteristic, complemented
1060	#441	C₂²×C₄₁	1	1	yes	characteristic, complemented
1061	#440	C₂²×C₄₁	1	1	yes	characteristic
1062	#440	C₂²×C₄₁	1	1	yes	characteristic
1063	#440	C₂²×C₄₁	1	1	yes	characteristic, complemented
1064	#440	C₂²×C₄₁	1	1	yes	characteristic, complemented
1065	C₄×Q₁₆	C₂²×C₄₁	1	1	yes	characteristic, complemented
1066	C₄×SD₁₆	C₂²×C₄₁	1	1	yes	characteristic
1067	C₄×SD₁₆	C₂²×C₄₁	1	1	yes	characteristic, complemented
1068	C₄×D₈	C₂²×C₄₁	1	1	yes	characteristic, complemented
1069	#436	C₂²×C₄₁	1	1	yes	characteristic
1070	#436	C₂²×C₄₁	1	1	yes	characteristic, complemented
1071	#435	C₂²×C₄₁	1	1	yes	characteristic
1072	#435	C₂²×C₄₁	1	1	yes	characteristic
1073	#435	C₂²×C₄₁	1	1	yes	characteristic
1074	#435	C₂²×C₄₁	1	1	yes	characteristic, complemented
1075	#433	C₂²×C₄₁	1	1	yes	characteristic
1076	#433	C₂²×C₄₁	1	1	yes	characteristic, complemented
1077	#432	C₂²×C₄₁	1	1	yes	characteristic, complemented
1078	#424	C₂²×C₄₁	1	1	yes	characteristic
1079	#424	C₂²×C₄₁	1	1	yes	characteristic, complemented
1080	#423	C₂²×C₄₁	1	1	yes	characteristic, complemented
1081	#417	C₂²×C₄₁	1	1	yes	characteristic
1082	#417	C₂²×C₄₁	1	1	yes	characteristic
1083	#417	C₂²×C₄₁	1	1	yes	characteristic
1084	#417	C₂²×C₄₁	1	1	yes	characteristic, complemented
1085	C₂×#103	C₂²×C₄₁	1	1	yes	characteristic, complemented
1086	C₂×#102	C₂²×C₄₁	1	1	yes	characteristic
1087	C₄₁	#62078	1	1	yes	characteristic, direct product factor, Sylow
1088	C₂×#41	—	2	1	no	—
1089	C₂×#41	—	2	1	no	—
1090	C₂×#41	—	2	1	no	—
1091	C₂×#41	C₂³×C₄₁	1	1	yes	characteristic
1092	C₂×#41	C₂³×C₄₁	1	1	yes	characteristic
1093	C₂×#41	C₂³×C₄₁	1	1	yes	characteristic
1094	C₂×#41	C₂³×C₄₁	1	1	yes	characteristic
1095	C₂×#41	C₂³×C₄₁	1	1	yes	characteristic
1096	C₂×#41	C₂³×C₄₁	1	1	yes	characteristic
1097	C₂²×Q₈	C₂³×C₄₁	1	1	yes	characteristic
1098	C₂²×Q₈	C₂³×C₄₁	1	1	yes	characteristic
1099	C₂²×D₄	C₂³×C₄₁	1	1	yes	characteristic
1100	#137	—	4	2	no	—
1101	#137	—	4	2	no	—
1102	#137	—	4	2	no	—
1103	AGL(1,ℤ/8)	—	4	2	no	—
1104	#135	—	4	2	no	—
1105	#135	—	4	2	no	—
1106	C₂×Q₁₆	C₂³×C₄₁	1	1	yes	characteristic
1107	C₂×Q₁₆	C₂³×C₄₁	1	1	yes	characteristic
1108	C₂×Q₁₆	C₂³×C₄₁	1	1	yes	characteristic
1109	C₂×Q₁₆	C₂³×C₄₁	1	1	yes	characteristic
1110	C₂×Q₁₆	C₂³×C₄₁	1	1	yes	characteristic
1111	C₂×Q₁₆	C₂³×C₄₁	1	1	yes	characteristic
1112	C₂×SD₁₆	C₂³×C₄₁	1	1	yes	characteristic
1113	C₂×SD₁₆	C₂³×C₄₁	1	1	yes	characteristic
1114	C₂×SD₁₆	C₂³×C₄₁	1	1	yes	characteristic
1115	C₂×SD₁₆	C₂³×C₄₁	1	1	yes	characteristic
1116	C₂×SD₁₆	C₂³×C₄₁	1	1	yes	characteristic
1117	C₂×SD₁₆	C₂³×C₄₁	1	1	yes	characteristic
1118	C₂×SD₁₆	C₂³×C₄₁	1	1	yes	characteristic
1119	C₂×SD₁₆	C₂³×C₄₁	1	1	yes	characteristic
1120	C₂×SD₁₆	C₂³×C₄₁	1	1	yes	characteristic
1121	C₂×SD₁₆	C₂³×C₄₁	1	1	yes	characteristic
1122	C₂×SD₁₆	C₂³×C₄₁	1	1	yes	characteristic
1123	C₂×SD₁₆	C₂³×C₄₁	1	1	yes	characteristic
1124	C₂×D₈	C₂³×C₄₁	1	1	yes	characteristic
1125	C₂×D₈	C₂³×C₄₁	1	1	yes	characteristic
1126	C₂×D₈	C₂³×C₄₁	1	1	yes	characteristic
1127	C₂×D₈	C₂³×C₄₁	1	1	yes	characteristic
1128	C₂×D₈	C₂³×C₄₁	1	1	yes	characteristic
1129	C₂×D₈	C₂³×C₄₁	1	1	yes	characteristic
1130	C₂×M₁₆	C₂³×C₄₁	1	1	yes	characteristic
1131	C₂×M₁₆	C₂³×C₄₁	1	1	yes	characteristic
1132	C₂×M₁₆	C₂³×C₄₁	1	1	yes	characteristic
1133	C₂×M₁₆	C₂³×C₄₁	1	1	yes	characteristic
1134	C₂²×C₈	C₂³×C₄₁	1	1	yes	characteristic
1135	C₂²×C₈	C₂³×C₄₁	1	1	yes	characteristic
1136	C₄⋊Q₈	—	2	1	no	—
1137	C₄⋊Q₈	—	2	1	no	—
1138	C₄⋊Q₈	—	2	1	no	—
1139	C₄⋊Q₈	C₂³×C₄₁	1	1	yes	characteristic
1140	C₄⋊Q₈	C₂³×C₄₁	1	1	yes	characteristic
1141	C₄⋊Q₈	C₂³×C₄₁	1	1	yes	characteristic
1142	C₄⋊Q₈	C₂³×C₄₁	1	1	yes	characteristic
1143	C₄⋊Q₈	C₂³×C₄₁	1	1	yes	characteristic
1144	#127	—	2	1	no	—
1145	#127	—	2	1	no	—
1146	#127	C₂³×C₄₁	1	1	yes	characteristic
1147	#127	C₂³×C₄₁	1	1	yes	characteristic
1148	#127	C₂³×C₄₁	1	1	yes	characteristic
1149	#126	—	2	1	no	—
1150	#126	—	2	1	no	—
1151	#126	—	2	1	no	—
1152	#126	—	2	1	no	—
1153	#126	—	2	1	no	—
1154	#126	—	2	1	no	—
1155	#126	—	2	1	no	—
1156	#126	D₄×C₄₁	1	1	yes	characteristic
1157	#126	D₄×C₄₁	1	1	yes	characteristic
1158	#125	—	2	1	no	—
1159	#125	—	2	1	no	—
1160	#125	—	2	1	no	—
1161	#125	D₄×C₄₁	1	1	yes	characteristic
1162	#125	C₂³×C₄₁	1	1	yes	characteristic
1163	#124	—	2	1	no	—
1164	#124	—	2	1	no	—
1165	#124	—	2	1	no	—
1166	#124	—	2	1	no	—
1167	#124	—	2	1	no	—
1168	#124	—	2	1	no	—
1169	#124	—	2	1	no	—
1170	#124	—	2	1	no	—
1171	#124	—	2	1	no	—
1172	#124	D₄×C₄₁	1	1	yes	characteristic
1173	#124	C₂³×C₄₁	1	1	yes	characteristic
1174	#124	C₂³×C₄₁	1	1	yes	characteristic
1175	#124	C₂³×C₄₁	1	1	yes	characteristic
1176	#124	C₂³×C₄₁	1	1	yes	characteristic
1177	#124	C₂³×C₄₁	1	1	yes	characteristic
1178	#124	C₂³×C₄₁	1	1	yes	characteristic
1179	#124	C₂³×C₄₁	1	1	yes	characteristic
1180	#123	—	2	1	no	—
1181	#123	—	2	1	no	—
1182	#123	—	2	1	no	—
1183	#123	—	2	1	no	—
1184	#123	—	2	1	no	—
1185	#123	—	2	1	no	—
1186	#123	—	2	1	no	—
1187	#123	—	2	1	no	—
1188	#123	—	2	1	no	—
1189	#123	—	2	1	no	—
1190	#123	—	2	1	no	—
1191	#123	—	2	1	no	—
1192	#123	—	2	1	no	—
1193	#123	—	2	1	no	—
1194	#123	—	2	1	no	—
1195	#123	—	2	1	no	—
1196	#123	—	2	1	no	—
1197	#123	—	2	1	no	—
1198	#123	—	2	1	no	—
1199	#123	D₄×C₄₁	1	1	yes	characteristic
1200	#123	D₄×C₄₁	1	1	yes	characteristic
1201	C₂²⋊Q₈	—	2	1	no	—
1202	C₂²⋊Q₈	—	2	1	no	—
1203	C₂²⋊Q₈	—	2	1	no	—
1204	C₂²⋊Q₈	—	2	1	no	—
1205	C₂²⋊Q₈	—	2	1	no	—
1206	C₂²⋊Q₈	—	2	1	no	—
1207	C₂²⋊Q₈	—	2	1	no	—
1208	C₂²⋊Q₈	—	2	1	no	—
1209	C₂²⋊Q₈	—	2	1	no	—
1210	C₂²⋊Q₈	—	2	1	no	—
1211	C₂²⋊Q₈	—	2	1	no	—
1212	C₂²⋊Q₈	—	2	1	no	—
1213	C₂²⋊Q₈	—	2	1	no	—
1214	C₂²⋊Q₈	D₄×C₄₁	1	1	yes	characteristic
1215	C₂²⋊Q₈	C₂³×C₄₁	1	1	yes	characteristic
1216	C₂²⋊Q₈	C₂³×C₄₁	1	1	yes	characteristic
1217	C₂²⋊Q₈	C₂³×C₄₁	1	1	yes	characteristic
1218	C₂²⋊Q₈	C₂³×C₄₁	1	1	yes	characteristic
1219	C₂²⋊Q₈	C₂³×C₄₁	1	1	yes	characteristic
1220	#121	—	2	1	no	—
1221	#121	—	2	1	no	—
1222	#121	—	2	1	no	—
1223	#121	—	2	1	no	—
1224	#121	—	2	1	no	—
1225	#121	—	2	1	no	—
1226	#121	—	2	1	no	—
1227	#121	—	2	1	no	—
1228	#121	—	2	1	no	—
1229	#121	—	2	1	no	—
1230	#121	—	2	1	no	—
1231	#121	—	2	1	no	—
1232	#121	—	2	1	no	—
1233	#121	—	2	1	no	—
1234	#121	—	2	1	no	—
1235	#121	—	2	1	no	—
1236	#121	—	2	1	no	—
1237	#121	—	2	1	no	—
1238	#121	D₄×C₄₁	1	1	yes	characteristic
1239	#121	C₂³×C₄₁	1	1	yes	characteristic
1240	#121	C₂³×C₄₁	1	1	yes	characteristic
1241	#121	C₂³×C₄₁	1	1	yes	characteristic
1242	#121	C₂³×C₄₁	1	1	yes	characteristic
1243	#121	C₂³×C₄₁	1	1	yes	characteristic
1244	#121	C₂³×C₄₁	1	1	yes	characteristic
1245	#121	C₂³×C₄₁	1	1	yes	characteristic
1246	#120	—	2	1	no	—
1247	#120	—	2	1	no	—
1248	#120	—	2	1	no	—
1249	#120	—	2	1	no	—
1250	C₄×Q₈	—	2	1	no	—
1251	C₄×Q₈	—	2	1	no	—
1252	C₄×Q₈	—	2	1	no	—
1253	C₄×Q₈	C₂³×C₄₁	1	1	yes	characteristic
1254	C₄×Q₈	C₂³×C₄₁	1	1	yes	characteristic
1255	C₄×Q₈	C₂³×C₄₁	1	1	yes	characteristic
1256	C₄×Q₈	C₂³×C₄₁	1	1	yes	characteristic
1257	C₄×Q₈	C₂³×C₄₁	1	1	yes	characteristic
1258	C₄×Q₈	C₂³×C₄₁	1	1	yes	characteristic
1259	C₄×Q₈	C₂³×C₄₁	1	1	yes	characteristic
1260	C₄×Q₈	C₂³×C₄₁	1	1	yes	characteristic
1261	C₄×Q₈	C₂³×C₄₁	1	1	yes	characteristic
1262	C₄×Q₈	C₂³×C₄₁	1	1	yes	characteristic
1263	C₄×D₄	—	2	1	no	—
1264	C₄×D₄	—	2	1	no	—
1265	C₄×D₄	—	2	1	no	—
1266	C₄×D₄	—	2	1	no	—
1267	C₄×D₄	—	2	1	no	—
1268	C₄×D₄	—	2	1	no	—
1269	C₄×D₄	—	2	1	no	—
1270	C₄×D₄	—	2	1	no	—
1271	C₄×D₄	—	2	1	no	—
1272	C₄×D₄	—	2	1	no	—
1273	C₄×D₄	—	2	1	no	—
1274	C₄×D₄	—	2	1	no	—
1275	C₄×D₄	—	2	1	no	—
1276	C₄×D₄	—	2	1	no	—
1277	C₄×D₄	—	2	1	no	—
1278	C₄×D₄	—	2	1	no	—
1279	C₄×D₄	—	2	1	no	—
1280	C₄×D₄	C₂³×C₄₁	1	1	yes	characteristic
1281	C₄×D₄	C₂³×C₄₁	1	1	yes	characteristic
1282	C₄×D₄	C₂³×C₄₁	1	1	yes	characteristic
1283	C₄×D₄	C₂³×C₄₁	1	1	yes	characteristic
1284	C₄×D₄	C₂³×C₄₁	1	1	yes	characteristic
1285	C₄×D₄	C₂³×C₄₁	1	1	yes	characteristic
1286	C₄×D₄	C₂³×C₄₁	1	1	yes	characteristic
1287	C₄×D₄	C₂³×C₄₁	1	1	yes	characteristic
1288	C₄×D₄	C₂³×C₄₁	1	1	yes	characteristic
1289	C₄×D₄	C₂³×C₄₁	1	1	yes	characteristic
1290	#117	—	2	1	no	—
1291	#117	—	2	1	no	—
1292	#117	—	2	1	no	—
1293	#117	—	2	1	no	—
1294	#117	C₂³×C₄₁	1	1	yes	characteristic
1295	#117	C₂³×C₄₁	1	1	yes	characteristic
1296	C₂×C₄⋊C₄	—	2	1	no	—
1297	C₂×C₄⋊C₄	—	2	1	no	—
1298	C₂×C₄⋊C₄	—	2	1	no	—
1299	C₂×C₄⋊C₄	—	2	1	no	—
1300	C₂×C₄⋊C₄	C₂³×C₄₁	1	1	yes	characteristic
1301	C₂×C₄⋊C₄	C₂³×C₄₁	1	1	yes	characteristic
1302	C₂×C₄⋊C₄	C₂³×C₄₁	1	1	yes	characteristic
1303	C₂×C₂²⋊C₄	—	2	1	no	—
1304	C₂×C₂²⋊C₄	—	2	1	no	—
1305	C₂×C₄²	—	2	1	no	—
1306	C₂×C₄²	C₂³×C₄₁	1	1	yes	characteristic
1307	#107	C₂³×C₄₁	1	1	yes	characteristic
1308	#107	C₂³×C₄₁	1	1	yes	characteristic
1309	#107	C₂³×C₄₁	1	1	yes	characteristic
1310	#107	C₂³×C₄₁	1	1	yes	characteristic
1311	#106	C₂³×C₄₁	1	1	yes	characteristic
1312	#106	C₂³×C₄₁	1	1	yes	characteristic
1313	#106	C₂³×C₄₁	1	1	yes	characteristic
1314	#106	C₂³×C₄₁	1	1	yes	characteristic
1315	C₄⋊C₈	C₂³×C₄₁	1	1	yes	characteristic
1316	C₄⋊C₈	C₂³×C₄₁	1	1	yes	characteristic
1317	C₄⋊C₈	C₂³×C₄₁	1	1	yes	characteristic
1318	C₄⋊C₈	C₂³×C₄₁	1	1	yes	characteristic
1319	C₄⋊C₈	C₂³×C₄₁	1	1	yes	characteristic
1320	C₄⋊C₈	C₂³×C₄₁	1	1	yes	characteristic
1321	C₄⋊C₈	C₂³×C₄₁	1	1	yes	characteristic
1322	C₄⋊C₈	C₂³×C₄₁	1	1	yes	characteristic
1323	C₄⋊C₈	C₂³×C₄₁	1	1	yes	characteristic
1324	C₄⋊C₈	C₂³×C₄₁	1	1	yes	characteristic
1325	#103	C₂³×C₄₁	1	1	yes	characteristic
1326	#103	C₂³×C₄₁	1	1	yes	characteristic
1327	#103	C₂³×C₄₁	1	1	yes	characteristic
1328	#103	C₂³×C₄₁	1	1	yes	characteristic
1329	#103	C₂³×C₄₁	1	1	yes	characteristic
1330	#103	C₂³×C₄₁	1	1	yes	characteristic
1331	#103	C₂³×C₄₁	1	1	yes	characteristic
1332	#103	C₂³×C₄₁	1	1	yes	characteristic
1333	#103	C₂³×C₄₁	1	1	yes	characteristic
1334	#103	C₂³×C₄₁	1	1	yes	characteristic
1335	#103	C₂³×C₄₁	1	1	yes	characteristic
1336	#103	C₂³×C₄₁	1	1	yes	characteristic
1337	#103	C₂³×C₄₁	1	1	yes	characteristic
1338	#103	C₂³×C₄₁	1	1	yes	characteristic
1339	#103	C₂³×C₄₁	1	1	yes	characteristic
1340	#103	C₂³×C₄₁	1	1	yes	characteristic
1341	#102	C₂³×C₄₁	1	1	yes	characteristic
1342	#102	C₂³×C₄₁	1	1	yes	characteristic
1343	#102	C₂³×C₄₁	1	1	yes	characteristic
1344	#102	C₂³×C₄₁	1	1	yes	characteristic
1345	#102	C₂³×C₄₁	1	1	yes	characteristic
1346	#102	C₂³×C₄₁	1	1	yes	characteristic
1347	#102	C₂³×C₄₁	1	1	yes	characteristic
1348	#102	C₂³×C₄₁	1	1	yes	characteristic
1349	#102	C₂³×C₄₁	1	1	yes	characteristic
1350	#102	C₂³×C₄₁	1	1	yes	characteristic
1351	#102	C₂³×C₄₁	1	1	yes	characteristic
1352	#102	C₂³×C₄₁	1	1	yes	characteristic
1353	#102	C₂³×C₄₁	1	1	yes	characteristic
1354	#102	C₂³×C₄₁	1	1	yes	characteristic
1355	#102	C₂³×C₄₁	1	1	yes	characteristic
1356	#102	C₂³×C₄₁	1	1	yes	characteristic
1357	C₂²⋊C₈	C₂³×C₄₁	1	1	yes	characteristic
1358	C₂²⋊C₈	C₂³×C₄₁	1	1	yes	characteristic
1359	C₂²⋊C₈	C₂³×C₄₁	1	1	yes	characteristic
1360	C₂²⋊C₈	C₂³×C₄₁	1	1	yes	characteristic
1361	C₂²⋊C₈	C₂³×C₄₁	1	1	yes	characteristic
1362	C₂²⋊C₈	C₂³×C₄₁	1	1	yes	characteristic
1363	#97	C₂³×C₄₁	1	1	yes	characteristic
1364	#97	C₂³×C₄₁	1	1	yes	characteristic
1365	#97	C₂³×C₄₁	1	1	yes	characteristic
1366	#97	C₂³×C₄₁	1	1	yes	characteristic
1367	C₄×C₈	C₂³×C₄₁	1	1	yes	characteristic
1368	C₄×C₈	C₂³×C₄₁	1	1	yes	characteristic
1369	C₂⁴	—	2	1	no	—
1370	#41	—	2	2	no	—
1371	#41	—	2	2	no	—
1372	#41	—	4	1	no	—
1373	#41	—	4	1	no	—
1374	#41	—	4	1	no	—
1375	#41	—	4	1	no	—
1376	#41	—	4	1	no	—
1377	#41	—	4	1	no	—
1378	#41	—	4	1	no	—
1379	#41	—	4	1	no	—
1380	#41	—	4	1	no	—
1381	#41	—	4	1	no	—
1382	#41	—	8	2	no	—
1383	#41	—	8	2	no	—
1384	#41	—	8	2	no	—
1385	C₂×Q₈	—	2	1	no	—
1386	C₂×Q₈	—	2	1	no	—
1387	C₂×Q₈	—	2	1	no	—
1388	C₂×Q₈	—	2	1	no	—
1389	C₂×Q₈	—	2	1	no	—
1390	C₂×Q₈	—	2	2	no	—
1391	C₂×Q₈	—	4	1	no	—
1392	C₂×Q₈	—	4	1	no	—
1393	C₂×Q₈	—	4	1	no	—
1394	C₂×Q₈	C₂×D₄×C₄₁	1	1	yes	characteristic
1395	C₂×Q₈	C₂⁴×C₄₁	1	1	yes	characteristic
1396	C₂×Q₈	C₂⁴×C₄₁	1	1	yes	characteristic
1397	C₂×Q₈	C₂⁴×C₄₁	1	1	yes	characteristic
1398	C₂×Q₈	C₂⁴×C₄₁	1	1	yes	characteristic
1399	C₂×Q₈	C₂⁴×C₄₁	1	1	yes	characteristic
1400	C₂×D₄	—	2	1	no	—
1401	C₂×D₄	—	2	1	no	—
1402	C₂×D₄	—	2	1	no	—
1403	C₂×D₄	—	2	1	no	—
1404	C₂×D₄	—	2	1	no	—
1405	C₂×D₄	—	2	1	no	—
1406	C₂×D₄	—	2	1	no	—
1407	C₂×D₄	—	2	1	no	—
1408	C₂×D₄	—	2	1	no	—
1409	C₂×D₄	—	2	1	no	—
1410	C₂×D₄	—	2	1	no	—
1411	C₂×D₄	—	2	1	no	—
1412	C₂×D₄	—	2	1	no	—
1413	C₂×D₄	—	2	1	no	—
1414	C₂×D₄	—	2	1	no	—
1415	C₂×D₄	—	2	1	no	—
1416	C₂×D₄	—	2	1	no	—
1417	C₂×D₄	—	2	1	no	—
1418	C₂×D₄	—	2	1	no	—
1419	C₂×D₄	—	2	1	no	—
1420	C₂×D₄	—	4	1	no	—
1421	C₂×D₄	—	4	1	no	—
1422	C₂×D₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1423	C₂×D₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1424	C₂×D₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1425	C₂×D₄	C₂⁴×C₄₁	1	1	yes	characteristic
1426	C₂×D₄	C₂⁴×C₄₁	1	1	yes	characteristic
1427	C₂×D₄	C₂⁴×C₄₁	1	1	yes	characteristic
1428	C₂×D₄	C₂⁴×C₄₁	1	1	yes	characteristic
1429	C₂×D₄	C₂⁴×C₄₁	1	1	yes	characteristic
1430	C₂²×C₄	—	2	1	no	—
1431	C₂²×C₄	—	2	1	no	—
1432	C₂²×C₄	—	2	1	no	—
1433	C₂²×C₄	—	2	1	no	—
1434	C₂²×C₄	—	2	1	no	—
1435	C₂²×C₄	—	2	1	no	—
1436	C₂²×C₄	—	2	1	no	—
1437	C₂²×C₄	—	2	1	no	—
1438	C₂²×C₄	—	2	1	no	—
1439	C₂²×C₄	—	2	1	no	—
1440	C₂²×C₄	—	2	1	no	—
1441	C₂²×C₄	—	2	1	no	—
1442	C₂²×C₄	—	2	1	no	—
1443	C₂²×C₄	—	2	1	no	—
1444	C₂²×C₄	—	2	1	no	—
1445	C₂²×C₄	—	2	1	no	—
1446	C₂²×C₄	—	2	1	no	—
1447	C₂²×C₄	—	2	1	no	—
1448	C₂²×C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1449	C₂²×C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1450	C₂²×C₄	C₂⁴×C₄₁	1	1	yes	characteristic
1451	C₂²×C₄	C₂⁴×C₄₁	1	1	yes	characteristic
1452	C₂²×C₄	C₂⁴×C₄₁	1	1	yes	characteristic
1453	Q₁₆	—	2	2	no	—
1454	Q₁₆	—	2	2	no	—
1455	Q₁₆	—	2	2	no	—
1456	Q₁₆	—	4	1	no	—
1457	Q₁₆	—	4	1	no	—
1458	Q₁₆	—	4	1	no	—
1459	SD₁₆	—	2	2	no	—
1460	SD₁₆	—	2	2	no	—
1461	SD₁₆	—	2	2	no	—
1462	SD₁₆	—	4	1	no	—
1463	SD₁₆	—	4	1	no	—
1464	SD₁₆	—	4	1	no	—
1465	SD₁₆	—	4	1	no	—
1466	SD₁₆	—	4	1	no	—
1467	SD₁₆	—	4	1	no	—
1468	SD₁₆	—	4	1	no	—
1469	SD₁₆	—	4	1	no	—
1470	SD₁₆	—	4	1	no	—
1471	D₈	—	4	1	no	—
1472	D₈	—	4	1	no	—
1473	D₈	—	4	1	no	—
1474	D₈	—	4	1	no	—
1475	D₈	—	4	1	no	—
1476	D₈	—	4	1	no	—
1477	M₁₆	—	4	1	no	—
1478	M₁₆	—	4	1	no	—
1479	M₁₆	—	4	1	no	—
1480	M₁₆	—	4	1	no	—
1481	C₂×C₈	—	4	1	no	—
1482	C₂×C₈	—	4	1	no	—
1483	C₂×C₈	C₂⁴×C₄₁	1	1	yes	characteristic
1484	C₂×C₈	C₂⁴×C₄₁	1	1	yes	characteristic
1485	C₂×C₈	C₂⁴×C₄₁	1	1	yes	characteristic
1486	C₂×C₈	C₂⁴×C₄₁	1	1	yes	characteristic
1487	C₂×C₈	C₂⁴×C₄₁	1	1	yes	characteristic
1488	C₂×C₈	C₂⁴×C₄₁	1	1	yes	characteristic
1489	C₂×C₈	C₂⁴×C₄₁	1	1	yes	characteristic
1490	C₂×C₈	C₂⁴×C₄₁	1	1	yes	characteristic
1491	C₄⋊C₄	—	2	1	no	—
1492	C₄⋊C₄	—	2	1	no	—
1493	C₄⋊C₄	—	2	1	no	—
1494	C₄⋊C₄	—	2	1	no	—
1495	C₄⋊C₄	—	2	1	no	—
1496	C₄⋊C₄	—	2	1	no	—
1497	C₄⋊C₄	—	2	1	no	—
1498	C₄⋊C₄	—	2	1	no	—
1499	C₄⋊C₄	—	2	1	no	—
1500	C₄⋊C₄	—	2	1	no	—
1501	C₄⋊C₄	—	2	1	no	—
1502	C₄⋊C₄	—	2	1	no	—
1503	C₄⋊C₄	—	2	1	no	—
1504	C₄⋊C₄	—	2	1	no	—
1505	C₄⋊C₄	—	2	1	no	—
1506	C₄⋊C₄	—	2	1	no	—
1507	C₄⋊C₄	—	2	1	no	—
1508	C₄⋊C₄	—	2	1	no	—
1509	C₄⋊C₄	—	2	1	no	—
1510	C₄⋊C₄	—	2	1	no	—
1511	C₄⋊C₄	—	2	1	no	—
1512	C₄⋊C₄	—	2	1	no	—
1513	C₄⋊C₄	—	2	1	no	—
1514	C₄⋊C₄	—	2	1	no	—
1515	C₄⋊C₄	—	2	1	no	—
1516	C₄⋊C₄	—	2	1	no	—
1517	C₄⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1518	C₄⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1519	C₄⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1520	C₄⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1521	C₄⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1522	C₄⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1523	C₄⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1524	C₄⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1525	C₄⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1526	C₄⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1527	C₄⋊C₄	C₂⁴×C₄₁	1	1	yes	characteristic
1528	C₄⋊C₄	C₂⁴×C₄₁	1	1	yes	characteristic
1529	C₄⋊C₄	C₂⁴×C₄₁	1	1	yes	characteristic
1530	C₄⋊C₄	C₂⁴×C₄₁	1	1	yes	characteristic
1531	C₄⋊C₄	C₂⁴×C₄₁	1	1	yes	characteristic
1532	C₄⋊C₄	C₂⁴×C₄₁	1	1	yes	characteristic
1533	C₂²⋊C₄	—	2	1	no	—
1534	C₂²⋊C₄	—	2	1	no	—
1535	C₂²⋊C₄	—	2	1	no	—
1536	C₂²⋊C₄	—	2	1	no	—
1537	C₂²⋊C₄	—	2	1	no	—
1538	C₂²⋊C₄	—	2	1	no	—
1539	C₂²⋊C₄	—	2	1	no	—
1540	C₂²⋊C₄	—	2	1	no	—
1541	C₂²⋊C₄	—	2	1	no	—
1542	C₂²⋊C₄	—	2	1	no	—
1543	C₂²⋊C₄	—	2	1	no	—
1544	C₂²⋊C₄	—	2	1	no	—
1545	C₂²⋊C₄	—	2	1	no	—
1546	C₂²⋊C₄	—	2	1	no	—
1547	C₂²⋊C₄	—	2	1	no	—
1548	C₂²⋊C₄	—	2	1	no	—
1549	C₂²⋊C₄	—	2	1	no	—
1550	C₂²⋊C₄	—	2	1	no	—
1551	C₂²⋊C₄	—	2	1	no	—
1552	C₂²⋊C₄	—	2	1	no	—
1553	C₂²⋊C₄	—	2	1	no	—
1554	C₂²⋊C₄	—	2	1	no	—
1555	C₂²⋊C₄	—	2	1	no	—
1556	C₂²⋊C₄	—	2	1	no	—
1557	C₂²⋊C₄	—	2	1	no	—
1558	C₂²⋊C₄	—	2	1	no	—
1559	C₂²⋊C₄	—	2	1	no	—
1560	C₂²⋊C₄	—	2	1	no	—
1561	C₂²⋊C₄	—	2	1	no	—
1562	C₂²⋊C₄	—	2	1	no	—
1563	C₂²⋊C₄	—	2	1	no	—
1564	C₂²⋊C₄	—	2	1	no	—
1565	C₂²⋊C₄	—	2	1	no	—
1566	C₂²⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1567	C₂²⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1568	C₂²⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1569	C₂²⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1570	C₂²⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1571	C₂²⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1572	C₂²⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1573	C₂²⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1574	C₂²⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1575	C₂²⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1576	C₄²	—	2	1	no	—
1577	C₄²	—	2	1	no	—
1578	C₄²	—	2	1	no	—
1579	C₄²	—	2	1	no	—
1580	C₄²	—	2	1	no	—
1581	C₄²	—	2	1	no	—
1582	C₄²	—	2	1	no	—
1583	C₄²	—	2	1	no	—
1584	C₄²	—	2	1	no	—
1585	C₄²	C₂×D₄×C₄₁	1	1	yes	characteristic
1586	C₄²	C₂×D₄×C₄₁	1	1	yes	characteristic
1587	C₄²	C₂⁴×C₄₁	1	1	yes	characteristic
1588	C₄²	C₂⁴×C₄₁	1	1	yes	characteristic
1589	C₄²	C₂⁴×C₄₁	1	1	yes	characteristic
1590	C₄²	C₂⁴×C₄₁	1	1	yes	characteristic
1591	C₂³	—	2	1	no	—
1592	C₂³	—	2	1	no	—
1593	C₂³	—	2	1	no	—
1594	C₂³	—	2	1	no	—
1595	C₂³	—	2	1	no	—
1596	C₂³	—	8	1	no	—
1597	C₂³	—	8	1	no	—
1598	C₂³	—	8	1	no	—
1599	C₂³	C₂²×D₄×C₄₁	1	1	yes	characteristic
1600	C₂³	C₂²×D₄×C₄₁	1	1	yes	characteristic
1601	C₂³	C₂²×D₄×C₄₁	1	1	yes	characteristic
1602	Q₈	—	2	1	no	—
1603	Q₈	—	2	1	no	—
1604	Q₈	—	2	1	no	—
1605	Q₈	—	2	1	no	—
1606	Q₈	—	2	1	no	—
1607	Q₈	—	2	1	no	—
1608	Q₈	—	2	1	no	—
1609	Q₈	—	2	1	no	—
1610	Q₈	—	2	1	no	—
1611	Q₈	—	4	1	no	—
1612	Q₈	—	4	2	no	—
1613	Q₈	—	8	1	no	—
1614	Q₈	—	8	1	no	—
1615	Q₈	—	8	1	no	—
1616	Q₈	—	8	1	no	—
1617	Q₈	H(5,𝔽₂)×C₄₁	1	2	yes	—
1618	D₄	—	2	1	no	—
1619	D₄	—	2	1	no	—
1620	D₄	—	2	1	no	—
1621	D₄	—	2	1	no	—
1622	D₄	—	2	1	no	—
1623	D₄	—	2	1	no	—
1624	D₄	—	2	1	no	—
1625	D₄	—	2	1	no	—
1626	D₄	—	2	1	no	—
1627	D₄	—	2	1	no	—
1628	D₄	—	4	1	no	—
1629	D₄	—	4	1	no	—
1630	D₄	—	4	1	no	—
1631	D₄	—	4	2	no	—
1632	D₄	—	4	2	no	—
1633	D₄	—	4	2	no	—
1634	D₄	—	4	2	no	—
1635	D₄	—	4	2	no	—
1636	D₄	—	8	1	no	—
1637	D₄	—	8	1	no	—
1638	D₄	—	8	1	no	—
1639	D₄	—	8	1	no	—
1640	D₄	—	8	1	no	—
1641	D₄	—	8	1	no	—
1642	D₄	—	8	1	no	—
1643	D₄	—	8	1	no	—
1644	D₄	—	8	1	no	—
1645	D₄	—	8	1	no	—
1646	D₄	—	8	1	no	—
1647	D₄	—	8	1	no	—
1648	D₄	—	8	1	no	—
1649	D₄	—	8	1	no	—
1650	D₄	—	8	1	no	—
1651	C₂×C₄	—	2	1	no	—
1652	C₂×C₄	—	2	1	no	—
1653	C₂×C₄	—	2	1	no	—
1654	C₂×C₄	—	2	1	no	—
1655	C₂×C₄	—	2	1	no	—
1656	C₂×C₄	—	2	1	no	—
1657	C₂×C₄	—	2	1	no	—
1658	C₂×C₄	—	2	1	no	—
1659	C₂×C₄	—	2	1	no	—
1660	C₂×C₄	—	2	1	no	—
1661	C₂×C₄	—	2	1	no	—
1662	C₂×C₄	—	2	1	no	—
1663	C₂×C₄	—	2	1	no	—
1664	C₂×C₄	—	2	1	no	—
1665	C₂×C₄	—	2	1	no	—
1666	C₂×C₄	—	2	1	no	—
1667	C₂×C₄	—	2	1	no	—
1668	C₂×C₄	—	4	1	no	—
1669	C₂×C₄	—	4	1	no	—
1670	C₂×C₄	—	4	2	no	—
1671	C₂×C₄	—	4	2	no	—
1672	C₂×C₄	—	4	2	no	—
1673	C₂×C₄	—	4	2	no	—
1674	C₂×C₄	—	8	1	no	—
1675	C₂×C₄	—	8	1	no	—
1676	C₂×C₄	—	8	1	no	—
1677	C₂×C₄	—	8	1	no	—
1678	C₂×C₄	—	8	1	no	—
1679	C₂×C₄	—	8	1	no	—
1680	C₂×C₄	—	8	1	no	—
1681	C₂×C₄	—	8	1	no	—
1682	C₂×C₄	—	8	1	no	—
1683	C₂×C₄	—	8	1	no	—
1684	C₂×C₄	—	8	1	no	—
1685	C₂×C₄	—	8	1	no	—
1686	C₂×C₄	—	8	1	no	—
1687	C₂×C₄	—	8	1	no	—
1688	C₂×C₄	C₂²×D₄×C₄₁	1	1	yes	characteristic
1689	C₂×C₄	C₂²×D₄×C₄₁	1	1	yes	characteristic
1690	C₂×C₄	C₂²×D₄×C₄₁	1	1	yes	characteristic
1691	C₂×C₄	C₂²×D₄×C₄₁	1	1	yes	characteristic
1692	C₂×C₄	C₂²×D₄×C₄₁	1	1	yes	characteristic
1693	C₂×C₄	C₂²×D₄×C₄₁	1	1	yes	characteristic
1694	C₂×C₄	C₂²×D₄×C₄₁	1	1	yes	characteristic
1695	C₂×C₄	C₂²×D₄×C₄₁	1	1	yes	characteristic
1696	C₂×C₄	C₂²×D₄×C₄₁	1	1	yes	characteristic
1697	C₂×C₄	C₂²×D₄×C₄₁	1	1	yes	characteristic
1698	C₂×C₄	C₂²×D₄×C₄₁	1	1	yes	characteristic
1699	C₂×C₄	C₂⁵×C₄₁	1	1	yes	characteristic
1700	C₈	—	2	1	no	—
1701	C₈	—	2	1	no	—
1702	C₈	—	2	1	no	—
1703	C₈	—	2	1	no	—
1704	C₈	—	2	1	no	—
1705	C₈	—	2	1	no	—
1706	C₈	—	2	1	no	—
1707	C₈	—	2	1	no	—
1708	C₂²	—	2	1	no	—
1709	C₂²	—	2	1	no	—
1710	C₂²	—	2	1	no	—
1711	C₂²	—	2	1	no	—
1712	C₂²	—	2	1	no	—
1713	C₂²	—	2	1	no	—
1714	C₂²	—	2	1	no	—
1715	C₂²	—	2	1	no	—
1716	C₂²	—	2	1	no	—
1717	C₂²	—	4	1	no	—
1718	C₂²	—	4	1	no	—
1719	C₂²	—	4	1	no	—
1720	C₂²	—	4	1	no	—
1721	C₂²	—	4	1	no	—
1722	C₂²	—	4	1	no	—
1723	C₂²	—	4	1	no	—
1724	C₂²	—	4	1	no	—
1725	C₂²	—	4	1	no	—
1726	C₂²	—	4	1	no	—
1727	C₂²	—	4	1	no	—
1728	C₂²	—	4	1	no	—
1729	C₂²	—	4	1	no	—
1730	C₂²	—	4	1	no	—
1731	C₂²	—	4	1	no	—
1732	C₂²	—	16	2	no	—
1733	C₂²	C₂³×D₄×C₄₁	1	1	yes	characteristic
1734	C₄	—	2	1	no	—
1735	C₄	—	2	1	no	—
1736	C₄	—	2	1	no	—
1737	C₄	—	2	1	no	—
1738	C₄	—	2	1	no	—
1739	C₄	—	2	1	no	—
1740	C₄	—	2	1	no	—
1741	C₄	—	2	1	no	—
1742	C₄	—	2	1	no	—
1743	C₄	—	2	1	no	—
1744	C₄	—	2	1	no	—
1745	C₄	—	2	2	no	—
1746	C₄	—	4	1	no	—
1747	C₄	—	4	1	no	—
1748	C₄	—	4	1	no	—
1749	C₄	—	4	1	no	—
1750	C₄	—	4	1	no	—
1751	C₄	—	4	1	no	—
1752	C₄	—	4	1	no	—
1753	C₄	—	4	1	no	—
1754	C₄	—	4	1	no	—
1755	C₄	—	4	1	no	—
1756	C₄	C₂×H(5,𝔽₂)×C₄₁	1	1	yes	characteristic
1757	C₄	C₄₁×#585	1	1	yes	characteristic
1758	C₂	—	4	1	no	—
1759	C₂	—	4	1	no	—
1760	C₂	—	4	1	no	—
1761	C₂	—	8	1	no	—
1762	C₂	—	8	1	no	—
1763	C₂	—	8	1	no	—
1764	C₂	—	8	1	no	—
1765	C₂	—	8	1	no	—
1766	C₂	C₄₁×#3488	1	1	yes	characteristic
1767	C₂	C₄₁×#3585	1	1	yes	characteristic
1768	C₂	C₄₁×#3586	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₄₁	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₄₁
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₄₁ ◁ C₄₁×#529 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₄₁×#3562	C₂	semidirect
2. C₄₁×#3522	C₂	semidirect
3. C₄₁×#3403	C₂	semidirect
4. C₄₁×#3401	C₂	semidirect
5. C₄₁×#3375	C₂	semidirect
6. C₄₁×#3369	C₂	semidirect
7. C₄₁×#3332	C₂	semidirect
8. C₄₁×#3330	C₂	semidirect
9. C₄₁×#3316	C₂	semidirect
10. C₄₁×#3314	C₂	semidirect
11. C₄₁×#3308	C₂	semidirect
12. C₄₁×#3306	C₂	semidirect
13. C₄₁×#3277	C₂	semidirect
14. C₄₁×#3275	C₂	semidirect
15. C₄₁×#3271	C₂	semidirect
16. C₄₁×#3271	C₂	semidirect
17. C₄₁×#3269	C₂	semidirect
18. C₄₁×#3268	C₂	semidirect
19. C₄₁×#3258	C₂	semidirect
20. C₄₁×#3257	C₂	semidirect
21. C₄₁×#3251	C₂	semidirect
22. C₄₁×#3225	C₂	semidirect
23. C₄₁×#3224	C₂	semidirect
24. C₄₁×#3214	C₂	semidirect
25. C₄₁×#3120	C₂	semidirect
26. C₄₁×#3119	C₂	semidirect
27. C₄₁×#3117	C₂	semidirect
28. C₄₁×#3046	C₂	semidirect
29. C₄₁×#3045	C₂	semidirect
30. C₄₁×#3037	C₂	semidirect
31. C₄₁×#2995	C₂	semidirect
33. C₂×#137×C₄₁	C₂²	semidirect
34. C₂×#137×C₄₁	C₂²	semidirect
42. C₄₁×#559	C₂²	semidirect
43. Q₈²×C₄₁	C₂²	semidirect
54. C₄₁×#548	C₂²	semidirect
59. C₄₁×#547	C₂²	semidirect
65. C₄₁×#542	C₂²	semidirect
76. C₄₁×#532	C₂²	semidirect
81. C₄₁×#520	C₂²	semidirect
82. C₂×C₄×Q₈×C₄₁	C₂²	semidirect
83. C₄₁×#497	C₂²	semidirect
86. C₄₁×#496	C₂²	semidirect
92. C₄₁×#489	C₂²	semidirect
93. C₄₁×#487	C₂²	semidirect
96. C₄₁×#484	C₂²	semidirect
99. C₄₁×#481	C₂²	semidirect
101. C₄₁×#479	C₂²	semidirect
102. C₄₁×#479	C₂²	semidirect
103. C₄₁×#478	C₂²	semidirect
104. C₄₁×#478	C₂²	semidirect
105. C₄₁×#477	C₂²	semidirect
107. C₄₁×#475	C₂²	semidirect
108. C₄₁×#475	C₂²	semidirect
110. C₄₁×#474	C₂²	semidirect
114. C₄₁×#469	C₂²	semidirect
117. C₄₁×#468	C₂²	semidirect
118. C₄₁×#468	C₂²	semidirect
122. C₄₁×#465	C₂²	semidirect
129. C₄₁×#464	C₂²	semidirect
130. C₄₁×#464	C₂²	semidirect
131. C₄₁×#464	C₂²	semidirect
132. C₄₁×#464	C₂²	semidirect
138. C₄₁×#463	C₂²	semidirect
139. C₄₁×#462	C₂²	semidirect
140. C₄₁×#462	C₂²	semidirect
141. C₄₁×#462	C₂²	semidirect
142. C₄₁×#461	C₂²	semidirect
143. C₄₁×#461	C₂²	semidirect
144. C₄₁×#461	C₂²	semidirect
148. C₄₁×#460	C₂²	semidirect
157. C₄₁×#451	C₂²	semidirect
158. C₄₁×#451	C₂²	semidirect
165. C₄₁×#449	C₂²	semidirect
166. C₄₁×#449	C₂²	semidirect
167. C₄₁×#449	C₂²	semidirect
169. C₄₁×#448	C₂²	semidirect
171. C₄₁×#446	C₂²	semidirect
172. C₄₁×#446	C₂²	semidirect
174. C₄₁×#441	C₂²	semidirect
175. C₄₁×#441	C₂²	semidirect
176. C₄₁×#441	C₂²	semidirect
179. C₄₁×#440	C₂²	semidirect
180. C₄₁×#440	C₂²	semidirect
181. C₄×Q₁₆×C₄₁	C₂²	semidirect
183. C₄×SD₁₆×C₄₁	C₂²	semidirect
184. C₄×D₈×C₄₁	C₂²	semidirect
186. C₄₁×#436	C₂²	semidirect
190. C₄₁×#435	C₂²	semidirect
192. C₄₁×#433	C₂²	semidirect
193. C₄₁×#432	C₂²	semidirect
195. C₄₁×#424	C₂²	semidirect
196. C₄₁×#423	C₂²	semidirect
200. C₄₁×#417	C₂²	semidirect
201. C₂×#103×C₄₁	C₂²	semidirect
823. #62078	C₄₁	direct (N × H)
874. #3562	C₂×C₄₁	semidirect
875. #3522	C₂×C₄₁	semidirect
876. #3403	C₂×C₄₁	semidirect
877. #3401	C₂×C₄₁	semidirect
878. #3375	C₂×C₄₁	semidirect
879. #3369	C₂×C₄₁	semidirect
880. #3332	C₂×C₄₁	semidirect
881. #3330	C₂×C₄₁	semidirect
882. #3316	C₂×C₄₁	semidirect
883. #3314	C₂×C₄₁	semidirect
884. #3308	C₂×C₄₁	semidirect
885. #3306	C₂×C₄₁	semidirect
886. #3277	C₂×C₄₁	semidirect
887. #3275	C₂×C₄₁	semidirect
888. #3271	C₂×C₄₁	semidirect
889. #3271	C₂×C₄₁	semidirect
890. #3269	C₂×C₄₁	semidirect
891. #3268	C₂×C₄₁	semidirect
892. #3258	C₂×C₄₁	semidirect
893. #3257	C₂×C₄₁	semidirect
894. #3251	C₂×C₄₁	semidirect
895. #3225	C₂×C₄₁	semidirect
896. #3224	C₂×C₄₁	semidirect
897. #3214	C₂×C₄₁	semidirect
898. #3120	C₂×C₄₁	semidirect
899. #3119	C₂×C₄₁	semidirect
900. #3117	C₂×C₄₁	semidirect
901. #3046	C₂×C₄₁	semidirect
902. #3045	C₂×C₄₁	semidirect
903. #3037	C₂×C₄₁	semidirect
904. #2995	C₂×C₄₁	semidirect
917. C₂×#137	C₂²×C₄₁	semidirect
918. C₂×#137	C₂²×C₄₁	semidirect
926. #559	C₂²×C₄₁	semidirect
927. Q₈²	C₂²×C₄₁	semidirect
938. #548	C₂²×C₄₁	semidirect
943. #547	C₂²×C₄₁	semidirect
949. #542	C₂²×C₄₁	semidirect
960. #532	C₂²×C₄₁	semidirect
965. #520	C₂²×C₄₁	semidirect
966. C₂×C₄×Q₈	C₂²×C₄₁	semidirect
967. #497	C₂²×C₄₁	semidirect
970. #496	C₂²×C₄₁	semidirect
976. #489	C₂²×C₄₁	semidirect
977. #487	C₂²×C₄₁	semidirect
980. #484	C₂²×C₄₁	semidirect
983. #481	C₂²×C₄₁	semidirect
985. #479	C₂²×C₄₁	semidirect
986. #479	C₂²×C₄₁	semidirect
987. #478	C₂²×C₄₁	semidirect
988. #478	C₂²×C₄₁	semidirect
989. #477	C₂²×C₄₁	semidirect
991. #475	C₂²×C₄₁	semidirect
992. #475	C₂²×C₄₁	semidirect
994. #474	C₂²×C₄₁	semidirect
998. #469	C₂²×C₄₁	semidirect
1001. #468	C₂²×C₄₁	semidirect
1002. #468	C₂²×C₄₁	semidirect
1006. #465	C₂²×C₄₁	semidirect
1013. #464	C₂²×C₄₁	semidirect
1014. #464	C₂²×C₄₁	semidirect
1015. #464	C₂²×C₄₁	semidirect
1016. #464	C₂²×C₄₁	semidirect
1022. #463	C₂²×C₄₁	semidirect
1023. #462	C₂²×C₄₁	semidirect
1024. #462	C₂²×C₄₁	semidirect
1025. #462	C₂²×C₄₁	semidirect
1026. #461	C₂²×C₄₁	semidirect
1027. #461	C₂²×C₄₁	semidirect
1028. #461	C₂²×C₄₁	semidirect
1032. #460	C₂²×C₄₁	semidirect
1041. #451	C₂²×C₄₁	semidirect
1042. #451	C₂²×C₄₁	semidirect
1049. #449	C₂²×C₄₁	semidirect
1050. #449	C₂²×C₄₁	semidirect
1051. #449	C₂²×C₄₁	semidirect
1053. #448	C₂²×C₄₁	semidirect
1055. #446	C₂²×C₄₁	semidirect
1056. #446	C₂²×C₄₁	semidirect
1058. #441	C₂²×C₄₁	semidirect
1059. #441	C₂²×C₄₁	semidirect
1060. #441	C₂²×C₄₁	semidirect
1063. #440	C₂²×C₄₁	semidirect
1064. #440	C₂²×C₄₁	semidirect
1065. C₄×Q₁₆	C₂²×C₄₁	semidirect
1067. C₄×SD₁₆	C₂²×C₄₁	semidirect
1068. C₄×D₈	C₂²×C₄₁	semidirect
1070. #436	C₂²×C₄₁	semidirect
1074. #435	C₂²×C₄₁	semidirect
1076. #433	C₂²×C₄₁	semidirect
1077. #432	C₂²×C₄₁	semidirect
1079. #424	C₂²×C₄₁	semidirect
1080. #423	C₂²×C₄₁	semidirect
1084. #417	C₂²×C₄₁	semidirect
1085. C₂×#103	C₂²×C₄₁	semidirect
1087. C₄₁	#62078	direct (N × H)

Maximal subgroups

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

subgroup	index
C₄₁×#3562	2
C₄₁×#3522	2
C₄₁×#3403	2
C₄₁×#3401	2
C₄₁×#3375	2
C₄₁×#3369	2
C₄₁×#3332	2
C₄₁×#3330	2
C₄₁×#3316	2
C₄₁×#3314	2
C₄₁×#3308	2
C₄₁×#3306	2
C₄₁×#3277	2
C₄₁×#3275	2
C₄₁×#3271	2
C₄₁×#3269	2
C₄₁×#3268	2
C₄₁×#3258	2
C₄₁×#3257	2
C₄₁×#3251	2
C₄₁×#3225	2
C₄₁×#3224	2
C₄₁×#3214	2
C₄₁×#3120	2
C₄₁×#3119	2
C₄₁×#3117	2
C₄₁×#3046	2
C₄₁×#3045	2
C₄₁×#3037	2
C₄₁×#2995	2
#62078	41

Subgroups — C41×#62078 #23838279

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₄₁×#62078 #23838279