Subgroups — C₄₁×#62157 #23838358

Order 10496.

1684 conjugacy classes of subgroups.

The subgroup lattice has 1632 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₄₁×#3544	C₂	1	1	yes	maximal, characteristic, complemented
2	C₄₁×#3516	C₂	1	1	yes	maximal, characteristic, complemented
3	C₄₁×#3388	C₂	1	1	yes	maximal, characteristic, complemented
4	C₄₁×#3387	C₂	1	1	yes	maximal, characteristic, complemented
5	C₄₁×#3376	C₂	1	1	yes	maximal, characteristic, complemented
6	C₄₁×#3369	C₂	1	1	yes	maximal, characteristic, complemented
7	C₄₁×#3348	C₂	1	1	yes	maximal, characteristic, complemented
8	C₄₁×#3345	C₂	1	1	yes	maximal, characteristic, complemented
9	C₄₁×#3344	C₂	1	1	yes	maximal, characteristic, complemented
10	C₄₁×#3344	C₂	1	1	yes	maximal, characteristic, complemented
11	C₄₁×#3337	C₂	1	1	yes	maximal, characteristic, complemented
12	C₄₁×#3335	C₂	1	1	yes	maximal, characteristic, complemented
13	C₄₁×#3321	C₂	1	1	yes	maximal, characteristic, complemented
14	C₄₁×#3316	C₂	1	1	yes	maximal, characteristic, complemented
15	C₄₁×#3312	C₂	1	1	yes	maximal, characteristic, complemented
16	C₄₁×#3308	C₂	1	1	yes	maximal, characteristic, complemented
17	C₄₁×#3300	C₂	1	1	yes	maximal, characteristic, complemented
18	C₄₁×#3298	C₂	1	1	yes	maximal, characteristic, complemented
19	C₄₁×#3263	C₂	1	1	yes	maximal, characteristic, complemented
20	C₄₁×#3258	C₂	1	1	yes	maximal, characteristic, complemented
21	C₄₁×#3250	C₂	1	1	yes	maximal, characteristic, complemented
22	C₄₁×#3244	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄₁×#3242	C₂	1	1	yes	maximal, characteristic, complemented
24	C₄₁×#3238	C₂	1	1	yes	maximal, characteristic, complemented
25	C₄₁×#3125	C₂	1	1	yes	maximal, characteristic, complemented
26	C₄₁×#3121	C₂	1	1	yes	maximal, characteristic, complemented
27	C₄₁×#3117	C₂	1	1	yes	maximal, characteristic, complemented
28	C₄₁×#3084	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄₁×#3082	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×C₄₁×#475	C₂	1	1	yes	maximal, characteristic, complemented
31	C₄₁×#2992	C₂	1	1	yes	maximal, characteristic, complemented
32	C₄₁×#563	—	2	1	no	—
33	C₄₁×#563	—	2	1	no	—
34	Q₈²×C₄₁	C₂²	1	1	yes	characteristic
35	C₄₁×#557	C₂²	1	1	yes	characteristic
36	C₄₁×#556	—	2	1	no	—
37	C₄₁×#556	C₂²	1	1	yes	characteristic
38	C₄₁×#555	C₂²	1	1	yes	characteristic
39	C₄₁×#554	—	2	1	no	—
40	C₄₁×#554	C₂²	1	1	yes	characteristic
41	C₄₁×#554	C₂²	1	1	yes	characteristic
42	C₄₁×#554	C₂²	1	1	yes	characteristic
43	C₄₁×#553	—	2	1	no	—
44	C₄₁×#553	C₂²	1	1	yes	characteristic
45	C₄₁×#552	—	2	1	no	—
46	C₄₁×#552	—	2	1	no	—
47	C₄₁×#552	C₂²	1	1	yes	characteristic
48	C₄₁×#552	C₂²	1	1	yes	characteristic
49	C₄₁×#552	C₂²	1	1	yes	characteristic
50	D₄×Q₈×C₄₁	C₂²	1	1	yes	characteristic
51	C₄₁×#548	C₂²	1	1	yes	characteristic
52	C₄₁×#548	C₂²	1	1	yes	characteristic
53	C₄₁×#547	—	2	1	no	—
54	C₄₁×#547	C₂²	1	1	yes	characteristic
55	C₄₁×#547	C₂²	1	1	yes	characteristic
56	C₄₁×#544	—	2	1	no	—
57	C₄₁×#544	C₂²	1	1	yes	characteristic
58	C₄₁×#544	C₂²	1	1	yes	characteristic
59	C₄₁×#542	—	2	1	no	—
60	C₄₁×#542	—	2	1	no	—
61	C₄₁×#542	C₂²	1	1	yes	characteristic
62	C₄₁×#542	C₂²	1	1	yes	characteristic
63	C₄₁×#542	C₂²	1	1	yes	characteristic
64	C₄₁×#541	—	2	1	no	—
65	C₄₁×#541	C₂²	1	1	yes	characteristic
66	C₄₁×#536	—	2	1	no	—
67	C₄₁×#536	—	2	1	no	—
68	C₂×C₄⋊Q₈×C₄₁	C₂²	1	1	yes	characteristic
69	C₄₁×#529	—	2	1	no	—
70	C₄₁×#529	—	2	1	no	—
71	C₄₁×#529	C₂²	1	1	yes	characteristic
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×#519	C₂²	1	1	yes	characteristic
76	C₂×C₄×Q₈×C₄₁	C₂²	1	1	yes	characteristic
77	C₄₁×#501	C₂²	1	1	yes	characteristic
78	C₄₁×#501	C₂²	1	1	yes	characteristic
79	C₄₁×#501	C₂²	1	1	yes	characteristic
80	C₄₁×#501	C₂²	1	1	yes	characteristic
81	C₄₁×#499	C₂²	1	1	yes	characteristic
82	C₄₁×#498	C₂²	1	1	yes	characteristic
83	C₄₁×#491	C₂²	1	1	yes	characteristic
84	C₄₁×#489	C₂²	1	1	yes	characteristic
85	C₄₁×#489	C₂²	1	1	yes	characteristic
86	C₄₁×#489	C₂²	1	1	yes	characteristic
87	C₄₁×#488	C₂²	1	1	yes	characteristic
88	C₄₁×#487	C₂²	1	1	yes	characteristic
89	C₄₁×#485	C₂²	1	1	yes	characteristic
90	C₄₁×#485	C₂²	1	1	yes	characteristic
91	C₄₁×#485	C₂²	1	1	yes	characteristic
92	C₄₁×#485	C₂²	1	1	yes	characteristic
93	C₄₁×#484	C₂²	1	1	yes	characteristic
94	C₄₁×#484	C₂²	1	1	yes	characteristic
95	C₄₁×#483	C₂²	1	1	yes	characteristic
96	C₄₁×#483	C₂²	1	1	yes	characteristic
97	C₄₁×#483	C₂²	1	1	yes	characteristic
98	C₄₁×#483	C₂²	1	1	yes	characteristic
99	C₄₁×#483	C₂²	1	1	yes	characteristic
100	C₄₁×#482	C₂²	1	1	yes	characteristic
101	C₄₁×#482	C₂²	1	1	yes	characteristic
102	C₄₁×#481	C₂²	1	1	yes	characteristic
103	C₄₁×#481	C₂²	1	1	yes	characteristic
104	C₄₁×#481	C₂²	1	1	yes	characteristic
105	C₄₁×#480	C₂²	1	1	yes	characteristic
106	C₄₁×#480	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×#479	C₂²	1	1	yes	characteristic
112	C₄₁×#479	C₂²	1	1	yes	characteristic
113	C₄₁×#479	C₂²	1	1	yes	characteristic
114	C₄₁×#479	C₂²	1	1	yes	characteristic
115	C₄₁×#478	C₂²	1	1	yes	characteristic
116	C₄₁×#478	C₂²	1	1	yes	characteristic
117	C₄₁×#478	C₂²	1	1	yes	characteristic
118	C₄₁×#478	C₂²	1	1	yes	characteristic
119	C₄₁×#477	C₂²	1	1	yes	characteristic
120	C₄₁×#477	C₂²	1	1	yes	characteristic
121	C₄₁×#477	C₂²	1	1	yes	characteristic
122	C₄₁×#476	C₂²	1	1	yes	characteristic
123	C₄₁×#476	C₂²	1	1	yes	characteristic
124	C₄₁×#476	C₂²	1	1	yes	characteristic
125	C₄₁×#476	C₂²	1	1	yes	characteristic
126	C₄₁×#475	C₂²	1	1	yes	characteristic
127	C₄₁×#475	C₂²	1	1	yes	characteristic
128	C₄₁×#475	C₂²	1	1	yes	characteristic
129	C₄₁×#475	C₂²	1	1	yes	characteristic
130	C₄₁×#475	C₂²	1	1	yes	characteristic
131	C₄₁×#475	C₂²	1	1	yes	characteristic
132	C₄₁×#475	C₂²	1	1	yes	characteristic
133	C₄₁×#475	C₂²	1	1	yes	characteristic
134	C₄₁×#475	C₂²	1	1	yes	characteristic
135	C₄₁×#475	C₂²	1	1	yes	characteristic
136	C₄₁×#475	C₂²	1	1	yes	characteristic
137	C₄₁×#470	C₂²	1	1	yes	characteristic
138	C₄₁×#470	C₂²	1	1	yes	characteristic
139	C₄₁×#469	C₂²	1	1	yes	characteristic
140	C₄₁×#468	C₂²	1	1	yes	characteristic
141	C₄₁×#467	C₂²	1	1	yes	characteristic
142	C₄₁×#467	C₂²	1	1	yes	characteristic
143	C₄₁×#466	C₂²	1	1	yes	characteristic
144	C₄₁×#465	C₂²	1	1	yes	characteristic
145	C₄₁×#465	C₂²	1	1	yes	characteristic
146	C₄₁×#465	C₂²	1	1	yes	characteristic
147	C₄₁×#465	C₂²	1	1	yes	characteristic
148	C₄₁×#465	C₂²	1	1	yes	characteristic
149	C₄₁×#464	C₂²	1	1	yes	characteristic
150	C₄₁×#464	C₂²	1	1	yes	characteristic
151	C₄₁×#464	C₂²	1	1	yes	characteristic
152	C₄₁×#464	C₂²	1	1	yes	characteristic
153	C₄₁×#464	C₂²	1	1	yes	characteristic
154	C₄₁×#463	C₂²	1	1	yes	characteristic
155	C₄₁×#463	C₂²	1	1	yes	characteristic
156	C₄₁×#463	C₂²	1	1	yes	characteristic
157	C₄₁×#462	C₂²	1	1	yes	characteristic
158	C₄₁×#461	C₂²	1	1	yes	characteristic
159	C₄₁×#452	C₂²	1	1	yes	characteristic
160	C₄₁×#451	C₂²	1	1	yes	characteristic
161	C₄₁×#451	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×#442	C₂²	1	1	yes	characteristic
168	C₄₁×#441	C₂²	1	1	yes	characteristic
169	C₄₁×#441	C₂²	1	1	yes	characteristic
170	C₄₁×#441	C₂²	1	1	yes	characteristic
171	C₄₁×#441	C₂²	1	1	yes	characteristic
172	C₄₁×#440	C₂²	1	1	yes	characteristic
173	C₄₁×#440	C₂²	1	1	yes	characteristic
174	C₄₁×#440	C₂²	1	1	yes	characteristic
175	C₄×Q₁₆×C₄₁	C₂²	1	1	yes	characteristic
176	C₄×SD₁₆×C₄₁	C₂²	1	1	yes	characteristic
177	C₄×SD₁₆×C₄₁	C₂²	1	1	yes	characteristic
178	C₄×SD₁₆×C₄₁	C₂²	1	1	yes	characteristic
179	C₄₁×#435	C₂²	1	1	yes	characteristic
180	C₄₁×#435	C₂²	1	1	yes	characteristic
181	C₄₁×#435	C₂²	1	1	yes	characteristic
182	C₄₁×#435	C₂²	1	1	yes	characteristic
183	C₈×D₄×C₄₁	C₂²	1	1	yes	characteristic
184	C₈×D₄×C₄₁	C₂²	1	1	yes	characteristic
185	C₄₁×#433	C₂²	1	1	yes	characteristic
186	C₄₁×#433	C₂²	1	1	yes	characteristic
187	C₄₁×#432	C₂²	1	1	yes	characteristic
188	C₄₁×#428	C₂²	1	1	yes	characteristic
189	C₄₁×#428	C₂²	1	1	yes	characteristic
190	C₄₁×#427	C₂²	1	1	yes	characteristic
191	C₂×#106×C₄₁	C₂²	1	1	yes	characteristic
192	C₂×#106×C₄₁	C₂²	1	1	yes	characteristic
193	C₂×#106×C₄₁	C₂²	1	1	yes	characteristic
194	C₄₁×#424	C₂²	1	1	yes	characteristic
195	C₄₁×#424	C₂²	1	1	yes	characteristic
196	C₂×C₄⋊C₈×C₄₁	C₂²	1	1	yes	characteristic
197	C₄₁×#419	C₂²	1	1	yes	characteristic
198	C₄₁×#417	C₂²	1	1	yes	characteristic
199	C₄₁×#416	C₂²	1	1	yes	characteristic
200	C₂×#103×C₄₁	C₂²	1	1	yes	characteristic
201	C₂×#103×C₄₁	C₂²	1	1	yes	characteristic
202	C₂×#103×C₄₁	C₂²	1	1	yes	characteristic
203	C₂×#41×C₄₁	—	2	1	no	—
204	C₂×#41×C₄₁	—	2	1	no	—
205	C₂×#41×C₄₁	C₂³	1	1	yes	characteristic
206	C₂²×Q₈×C₄₁	—	2	1	no	—
207	C₂²×Q₈×C₄₁	C₂³	1	1	yes	characteristic
208	C₂²×Q₈×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×SD₁₆×C₄₁	C₂³	1	1	yes	characteristic
213	C₂×SD₁₆×C₄₁	C₂³	1	1	yes	characteristic
214	C₂×SD₁₆×C₄₁	C₂³	1	1	yes	characteristic
215	C₂×SD₁₆×C₄₁	C₂³	1	1	yes	characteristic
216	C₂×D₈×C₄₁	C₂³	1	1	yes	characteristic
217	C₂×M₁₆×C₄₁	C₂³	1	1	yes	characteristic
218	C₂×M₁₆×C₄₁	C₂³	1	1	yes	characteristic
219	C₂²×C₈×C₄₁	C₂³	1	1	yes	characteristic
220	C₂²×C₈×C₄₁	C₂³	1	1	yes	characteristic
221	C₂²×C₈×C₄₁	C₂³	1	1	yes	characteristic
222	C₂²×C₈×C₄₁	C₂³	1	1	yes	characteristic
223	C₄⋊Q₈×C₄₁	—	2	1	no	—
224	C₄⋊Q₈×C₄₁	—	2	1	no	—
225	C₄⋊Q₈×C₄₁	—	2	1	no	—
226	C₄⋊Q₈×C₄₁	—	2	1	no	—
227	C₄⋊Q₈×C₄₁	—	2	1	no	—
228	C₄⋊Q₈×C₄₁	—	2	1	no	—
229	C₄⋊Q₈×C₄₁	—	2	1	no	—
230	C₄⋊Q₈×C₄₁	—	2	1	no	—
231	C₄⋊Q₈×C₄₁	—	2	1	no	—
232	C₄⋊Q₈×C₄₁	C₂³	1	1	yes	characteristic
233	C₄⋊Q₈×C₄₁	C₂³	1	1	yes	characteristic
234	C₄⋊Q₈×C₄₁	C₂³	1	1	yes	characteristic
235	C₄⋊Q₈×C₄₁	C₂³	1	1	yes	characteristic
236	C₄⋊Q₈×C₄₁	C₂³	1	1	yes	characteristic
237	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	#126×C₄₁	—	2	1	no	—
241	#126×C₄₁	—	2	1	no	—
242	#126×C₄₁	—	2	1	no	—
243	#126×C₄₁	—	2	1	no	—
244	#126×C₄₁	—	2	1	no	—
245	#126×C₄₁	—	2	1	no	—
246	#126×C₄₁	—	2	1	no	—
247	#126×C₄₁	—	2	1	no	—
248	#126×C₄₁	—	2	1	no	—
249	#126×C₄₁	—	2	1	no	—
250	#126×C₄₁	—	2	1	no	—
251	#126×C₄₁	—	2	1	no	—
252	#126×C₄₁	—	2	1	no	—
253	#126×C₄₁	D₄	1	1	yes	characteristic
254	#126×C₄₁	D₄	1	1	yes	characteristic
255	#125×C₄₁	—	2	1	no	—
256	#125×C₄₁	—	2	1	no	—
257	#125×C₄₁	—	2	1	no	—
258	#125×C₄₁	—	2	1	no	—
259	#125×C₄₁	—	2	1	no	—
260	#125×C₄₁	—	2	1	no	—
261	#125×C₄₁	—	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	D₄	1	1	yes	characteristic
267	#125×C₄₁	C₂³	1	1	yes	characteristic
268	#125×C₄₁	C₂³	1	1	yes	characteristic
269	#125×C₄₁	C₂³	1	1	yes	characteristic
270	#125×C₄₁	C₂³	1	1	yes	characteristic
271	#125×C₄₁	C₂³	1	1	yes	characteristic
272	#124×C₄₁	—	2	1	no	—
273	#124×C₄₁	—	2	1	no	—
274	#124×C₄₁	—	2	1	no	—
275	#124×C₄₁	—	2	1	no	—
276	#124×C₄₁	—	2	1	no	—
277	#124×C₄₁	—	2	1	no	—
278	#124×C₄₁	—	2	1	no	—
279	#124×C₄₁	D₄	1	1	yes	characteristic
280	#124×C₄₁	C₂³	1	1	yes	characteristic
281	#124×C₄₁	C₂³	1	1	yes	characteristic
282	#124×C₄₁	C₂³	1	1	yes	characteristic
283	#123×C₄₁	—	2	1	no	—
284	#123×C₄₁	—	2	1	no	—
285	#123×C₄₁	—	2	1	no	—
286	#123×C₄₁	—	2	1	no	—
287	#123×C₄₁	—	2	1	no	—
288	#123×C₄₁	—	2	1	no	—
289	#123×C₄₁	—	2	1	no	—
290	#123×C₄₁	—	2	1	no	—
291	#123×C₄₁	—	2	1	no	—
292	#123×C₄₁	—	2	1	no	—
293	#123×C₄₁	—	2	1	no	—
294	#123×C₄₁	—	2	1	no	—
295	#123×C₄₁	—	2	1	no	—
296	#123×C₄₁	D₄	1	1	yes	characteristic
297	#123×C₄₁	D₄	1	1	yes	characteristic
298	C₂²⋊Q₈×C₄₁	—	2	1	no	—
299	C₂²⋊Q₈×C₄₁	—	2	1	no	—
300	C₂²⋊Q₈×C₄₁	—	2	1	no	—
301	C₂²⋊Q₈×C₄₁	—	2	1	no	—
302	C₂²⋊Q₈×C₄₁	—	2	1	no	—
303	C₂²⋊Q₈×C₄₁	—	2	1	no	—
304	C₂²⋊Q₈×C₄₁	—	2	1	no	—
305	C₂²⋊Q₈×C₄₁	—	2	1	no	—
306	C₂²⋊Q₈×C₄₁	—	2	1	no	—
307	C₂²⋊Q₈×C₄₁	—	2	1	no	—
308	C₂²⋊Q₈×C₄₁	—	2	1	no	—
309	C₂²⋊Q₈×C₄₁	—	2	1	no	—
310	C₂²⋊Q₈×C₄₁	—	2	1	no	—
311	C₂²⋊Q₈×C₄₁	—	2	1	no	—
312	C₂²⋊Q₈×C₄₁	—	2	1	no	—
313	C₂²⋊Q₈×C₄₁	—	2	1	no	—
314	C₂²⋊Q₈×C₄₁	—	2	1	no	—
315	C₂²⋊Q₈×C₄₁	—	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	D₄	1	1	yes	characteristic
320	C₂²⋊Q₈×C₄₁	C₂³	1	1	yes	characteristic
321	C₂²⋊Q₈×C₄₁	C₂³	1	1	yes	characteristic
322	C₂²⋊Q₈×C₄₁	C₂³	1	1	yes	characteristic
323	C₂²⋊Q₈×C₄₁	C₂³	1	1	yes	characteristic
324	C₂²⋊Q₈×C₄₁	C₂³	1	1	yes	characteristic
325	C₂²⋊Q₈×C₄₁	C₂³	1	1	yes	characteristic
326	C₂²⋊Q₈×C₄₁	C₂³	1	1	yes	characteristic
327	#121×C₄₁	—	2	1	no	—
328	#121×C₄₁	—	2	1	no	—
329	#121×C₄₁	—	2	1	no	—
330	#121×C₄₁	—	2	1	no	—
331	#121×C₄₁	D₄	1	1	yes	characteristic
332	#121×C₄₁	C₂³	1	1	yes	characteristic
333	#121×C₄₁	C₂³	1	1	yes	characteristic
334	#121×C₄₁	C₂³	1	1	yes	characteristic
335	#121×C₄₁	C₂³	1	1	yes	characteristic
336	#121×C₄₁	C₂³	1	1	yes	characteristic
337	C₄×Q₈×C₄₁	—	2	1	no	—
338	C₄×Q₈×C₄₁	—	2	1	no	—
339	C₄×Q₈×C₄₁	—	2	1	no	—
340	C₄×Q₈×C₄₁	—	2	1	no	—
341	C₄×Q₈×C₄₁	—	2	1	no	—
342	C₄×Q₈×C₄₁	—	2	1	no	—
343	C₄×Q₈×C₄₁	C₂³	1	1	yes	characteristic
344	C₄×Q₈×C₄₁	C₂³	1	1	yes	characteristic
345	C₄×Q₈×C₄₁	C₂³	1	1	yes	characteristic
346	C₄×Q₈×C₄₁	C₂³	1	1	yes	characteristic
347	C₄×Q₈×C₄₁	C₂³	1	1	yes	characteristic
348	C₄×Q₈×C₄₁	C₂³	1	1	yes	characteristic
349	C₄×Q₈×C₄₁	C₂³	1	1	yes	characteristic
350	C₄×Q₈×C₄₁	C₂³	1	1	yes	characteristic
351	C₄×Q₈×C₄₁	C₂³	1	1	yes	characteristic
352	C₄×Q₈×C₄₁	C₂³	1	1	yes	characteristic
353	C₄×Q₈×C₄₁	C₂³	1	1	yes	characteristic
354	C₄×Q₈×C₄₁	C₂³	1	1	yes	characteristic
355	C₄×D₄×C₄₁	—	2	1	no	—
356	C₄×D₄×C₄₁	—	2	1	no	—
357	C₄×D₄×C₄₁	—	2	1	no	—
358	C₄×D₄×C₄₁	—	2	1	no	—
359	C₄×D₄×C₄₁	—	2	1	no	—
360	C₄×D₄×C₄₁	—	2	1	no	—
361	C₄×D₄×C₄₁	—	2	1	no	—
362	C₄×D₄×C₄₁	—	2	1	no	—
363	C₄×D₄×C₄₁	—	2	1	no	—
364	C₄×D₄×C₄₁	—	2	1	no	—
365	C₄×D₄×C₄₁	C₂³	1	1	yes	characteristic
366	C₄×D₄×C₄₁	C₂³	1	1	yes	characteristic
367	C₄×D₄×C₄₁	C₂³	1	1	yes	characteristic
368	C₄×D₄×C₄₁	C₂³	1	1	yes	characteristic
369	C₄×D₄×C₄₁	C₂³	1	1	yes	characteristic
370	C₄×D₄×C₄₁	C₂³	1	1	yes	characteristic
371	C₄×D₄×C₄₁	C₂³	1	1	yes	characteristic
372	C₄×D₄×C₄₁	C₂³	1	1	yes	characteristic
373	#117×C₄₁	—	2	1	no	—
374	#117×C₄₁	—	2	1	no	—
375	#117×C₄₁	—	2	1	no	—
376	#117×C₄₁	—	2	1	no	—
377	#117×C₄₁	—	2	1	no	—
378	#117×C₄₁	—	2	1	no	—
379	#117×C₄₁	—	2	1	no	—
380	#117×C₄₁	—	2	1	no	—
381	#117×C₄₁	—	2	1	no	—
382	#117×C₄₁	—	2	1	no	—
383	#117×C₄₁	C₂³	1	1	yes	characteristic
384	#117×C₄₁	C₂³	1	1	yes	characteristic
385	#117×C₄₁	C₂³	1	1	yes	characteristic
386	#117×C₄₁	C₂³	1	1	yes	characteristic
387	#117×C₄₁	C₂³	1	1	yes	characteristic
388	C₂×C₄⋊C₄×C₄₁	—	2	1	no	—
389	C₂×C₄⋊C₄×C₄₁	—	2	1	no	—
390	C₂×C₄⋊C₄×C₄₁	—	2	1	no	—
391	C₂×C₄⋊C₄×C₄₁	—	2	1	no	—
392	C₂×C₄⋊C₄×C₄₁	C₂³	1	1	yes	characteristic
393	C₂×C₄⋊C₄×C₄₁	C₂³	1	1	yes	characteristic
394	C₂×C₄⋊C₄×C₄₁	C₂³	1	1	yes	characteristic
395	C₂×C₄⋊C₄×C₄₁	C₂³	1	1	yes	characteristic
396	C₂×C₄⋊C₄×C₄₁	C₂³	1	1	yes	characteristic
397	C₂×C₄⋊C₄×C₄₁	C₂³	1	1	yes	characteristic
398	C₂×C₄²×C₄₁	—	2	1	no	—
399	C₂×C₄²×C₄₁	C₂³	1	1	yes	characteristic
400	#107×C₄₁	C₂³	1	1	yes	characteristic
401	#107×C₄₁	C₂³	1	1	yes	characteristic
402	#107×C₄₁	C₂³	1	1	yes	characteristic
403	#107×C₄₁	C₂³	1	1	yes	characteristic
404	#107×C₄₁	C₂³	1	1	yes	characteristic
405	#107×C₄₁	C₂³	1	1	yes	characteristic
406	#107×C₄₁	C₂³	1	1	yes	characteristic
407	#107×C₄₁	C₂³	1	1	yes	characteristic
408	#106×C₄₁	C₂³	1	1	yes	characteristic
409	#106×C₄₁	C₂³	1	1	yes	characteristic
410	#106×C₄₁	C₂³	1	1	yes	characteristic
411	#106×C₄₁	C₂³	1	1	yes	characteristic
412	#106×C₄₁	C₂³	1	1	yes	characteristic
413	#106×C₄₁	C₂³	1	1	yes	characteristic
414	#106×C₄₁	C₂³	1	1	yes	characteristic
415	#106×C₄₁	C₂³	1	1	yes	characteristic
416	#106×C₄₁	C₂³	1	1	yes	characteristic
417	#106×C₄₁	C₂³	1	1	yes	characteristic
418	#106×C₄₁	C₂³	1	1	yes	characteristic
419	#106×C₄₁	C₂³	1	1	yes	characteristic
420	#106×C₄₁	C₂³	1	1	yes	characteristic
421	#106×C₄₁	C₂³	1	1	yes	characteristic
422	#106×C₄₁	C₂³	1	1	yes	characteristic
423	#106×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	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	#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	#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	C₂²⋊C₈×C₄₁	C₂³	1	1	yes	characteristic
467	C₂²⋊C₈×C₄₁	C₂³	1	1	yes	characteristic
468	C₂²⋊C₈×C₄₁	C₂³	1	1	yes	characteristic
469	C₂²⋊C₈×C₄₁	C₂³	1	1	yes	characteristic
470	C₂²⋊C₈×C₄₁	C₂³	1	1	yes	characteristic
471	C₂²⋊C₈×C₄₁	C₂³	1	1	yes	characteristic
472	#97×C₄₁	C₂³	1	1	yes	characteristic
473	#97×C₄₁	C₂³	1	1	yes	characteristic
474	#97×C₄₁	C₂³	1	1	yes	characteristic
475	#97×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	—	2	2	no	—
479	#41×C₄₁	—	4	1	no	—
480	#41×C₄₁	—	8	2	no	—
481	#41×C₄₁	—	8	2	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	—	2	1	no	—
486	C₂×Q₈×C₄₁	—	2	1	no	—
487	C₂×Q₈×C₄₁	—	2	1	no	—
488	C₂×Q₈×C₄₁	—	2	1	no	—
489	C₂×Q₈×C₄₁	—	2	1	no	—
490	C₂×Q₈×C₄₁	—	2	1	no	—
491	C₂×Q₈×C₄₁	—	2	2	no	—
492	C₂×Q₈×C₄₁	—	2	2	no	—
493	C₂×Q₈×C₄₁	—	4	1	no	—
494	C₂×Q₈×C₄₁	—	4	1	no	—
495	C₂×Q₈×C₄₁	—	8	2	no	—
496	C₂×Q₈×C₄₁	C₂×D₄	1	1	yes	characteristic
497	C₂×Q₈×C₄₁	C₂⁴	1	1	yes	characteristic
498	C₂×Q₈×C₄₁	C₂⁴	1	1	yes	characteristic
499	C₂×Q₈×C₄₁	C₂⁴	1	1	yes	characteristic
500	C₂×Q₈×C₄₁	C₂⁴	1	1	yes	characteristic
501	C₂×D₄×C₄₁	—	2	1	no	—
502	C₂×D₄×C₄₁	—	2	1	no	—
503	C₂×D₄×C₄₁	—	2	1	no	—
504	C₂×D₄×C₄₁	—	2	1	no	—
505	C₂×D₄×C₄₁	—	2	1	no	—
506	C₂×D₄×C₄₁	—	2	1	no	—
507	C₂×D₄×C₄₁	C₂×D₄	1	1	yes	characteristic
508	C₂×D₄×C₄₁	C₂×D₄	1	1	yes	characteristic
509	C₂×D₄×C₄₁	C₂×D₄	1	1	yes	characteristic
510	C₂×D₄×C₄₁	C₂⁴	1	1	yes	characteristic
511	C₂×D₄×C₄₁	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
524	C₂²×C₄×C₄₁	—	2	1	no	—
525	C₂²×C₄×C₄₁	—	2	1	no	—
526	C₂²×C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
527	C₂²×C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
528	C₂²×C₄×C₄₁	C₂⁴	1	1	yes	characteristic
529	C₂²×C₄×C₄₁	C₂⁴	1	1	yes	characteristic
530	C₂²×C₄×C₄₁	C₂⁴	1	1	yes	characteristic
531	Q₁₆×C₄₁	—	2	2	no	—
532	Q₁₆×C₄₁	—	4	1	no	—
533	Q₁₆×C₄₁	—	4	1	no	—
534	SD₁₆×C₄₁	—	2	2	no	—
535	SD₁₆×C₄₁	—	4	1	no	—
536	SD₁₆×C₄₁	—	4	1	no	—
537	SD₁₆×C₄₁	—	4	1	no	—
538	D₈×C₄₁	—	4	1	no	—
539	M₁₆×C₄₁	—	4	1	no	—
540	M₁₆×C₄₁	—	4	1	no	—
541	C₂×C₈×C₄₁	—	4	1	no	—
542	C₂×C₈×C₄₁	—	4	1	no	—
543	C₂×C₈×C₄₁	—	4	1	no	—
544	C₂×C₈×C₄₁	—	4	1	no	—
545	C₂×C₈×C₄₁	C₂⁴	1	1	yes	characteristic
546	C₂×C₈×C₄₁	C₂⁴	1	1	yes	characteristic
547	C₂×C₈×C₄₁	C₂⁴	1	1	yes	characteristic
548	C₂×C₈×C₄₁	C₂⁴	1	1	yes	characteristic
549	C₂×C₈×C₄₁	C₂⁴	1	1	yes	characteristic
550	C₂×C₈×C₄₁	C₂⁴	1	1	yes	characteristic
551	C₂×C₈×C₄₁	C₂⁴	1	1	yes	characteristic
552	C₂×C₈×C₄₁	C₂⁴	1	1	yes	characteristic
553	C₄⋊C₄×C₄₁	—	2	1	no	—
554	C₄⋊C₄×C₄₁	—	2	1	no	—
555	C₄⋊C₄×C₄₁	—	2	1	no	—
556	C₄⋊C₄×C₄₁	—	2	1	no	—
557	C₄⋊C₄×C₄₁	—	2	1	no	—
558	C₄⋊C₄×C₄₁	—	2	1	no	—
559	C₄⋊C₄×C₄₁	—	2	1	no	—
560	C₄⋊C₄×C₄₁	—	2	1	no	—
561	C₄⋊C₄×C₄₁	—	2	1	no	—
562	C₄⋊C₄×C₄₁	—	2	1	no	—
563	C₄⋊C₄×C₄₁	—	2	1	no	—
564	C₄⋊C₄×C₄₁	—	2	1	no	—
565	C₄⋊C₄×C₄₁	—	2	1	no	—
566	C₄⋊C₄×C₄₁	—	2	1	no	—
567	C₄⋊C₄×C₄₁	—	2	1	no	—
568	C₄⋊C₄×C₄₁	—	2	1	no	—
569	C₄⋊C₄×C₄₁	—	2	1	no	—
570	C₄⋊C₄×C₄₁	—	2	1	no	—
571	C₄⋊C₄×C₄₁	—	2	1	no	—
572	C₄⋊C₄×C₄₁	—	2	1	no	—
573	C₄⋊C₄×C₄₁	—	2	1	no	—
574	C₄⋊C₄×C₄₁	—	2	1	no	—
575	C₄⋊C₄×C₄₁	—	2	1	no	—
576	C₄⋊C₄×C₄₁	—	2	1	no	—
577	C₄⋊C₄×C₄₁	—	2	1	no	—
578	C₄⋊C₄×C₄₁	—	2	1	no	—
579	C₄⋊C₄×C₄₁	—	2	1	no	—
580	C₄⋊C₄×C₄₁	—	2	1	no	—
581	C₄⋊C₄×C₄₁	—	2	1	no	—
582	C₄⋊C₄×C₄₁	—	2	1	no	—
583	C₄⋊C₄×C₄₁	—	2	1	no	—
584	C₄⋊C₄×C₄₁	—	2	1	no	—
585	C₄⋊C₄×C₄₁	—	2	1	no	—
586	C₄⋊C₄×C₄₁	—	2	1	no	—
587	C₄⋊C₄×C₄₁	—	2	1	no	—
588	C₄⋊C₄×C₄₁	—	2	1	no	—
589	C₄⋊C₄×C₄₁	—	2	1	no	—
590	C₄⋊C₄×C₄₁	—	2	1	no	—
591	C₄⋊C₄×C₄₁	—	2	1	no	—
592	C₄⋊C₄×C₄₁	—	2	1	no	—
593	C₄⋊C₄×C₄₁	—	2	1	no	—
594	C₄⋊C₄×C₄₁	—	2	1	no	—
595	C₄⋊C₄×C₄₁	—	2	1	no	—
596	C₄⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
597	C₄⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
598	C₄⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
599	C₄⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
600	C₄⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
601	C₄⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
602	C₄⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
603	C₄⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
604	C₄⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
605	C₄⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
606	C₄⋊C₄×C₄₁	C₂⁴	1	1	yes	characteristic
607	C₄⋊C₄×C₄₁	C₂⁴	1	1	yes	characteristic
608	C₄⋊C₄×C₄₁	C₂⁴	1	1	yes	characteristic
609	C₄⋊C₄×C₄₁	C₂⁴	1	1	yes	characteristic
610	C₄⋊C₄×C₄₁	C₂⁴	1	1	yes	characteristic
611	C₄⋊C₄×C₄₁	C₂⁴	1	1	yes	characteristic
612	C₄⋊C₄×C₄₁	C₂⁴	1	1	yes	characteristic
613	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	C₂²⋊C₄×C₄₁	—	2	1	no	—
617	C₂²⋊C₄×C₄₁	—	2	1	no	—
618	C₂²⋊C₄×C₄₁	—	2	1	no	—
619	C₂²⋊C₄×C₄₁	—	2	1	no	—
620	C₂²⋊C₄×C₄₁	—	2	1	no	—
621	C₂²⋊C₄×C₄₁	—	2	1	no	—
622	C₂²⋊C₄×C₄₁	—	2	1	no	—
623	C₂²⋊C₄×C₄₁	—	2	1	no	—
624	C₂²⋊C₄×C₄₁	—	2	1	no	—
625	C₂²⋊C₄×C₄₁	—	2	1	no	—
626	C₂²⋊C₄×C₄₁	—	2	1	no	—
627	C₂²⋊C₄×C₄₁	—	2	1	no	—
628	C₂²⋊C₄×C₄₁	—	2	1	no	—
629	C₂²⋊C₄×C₄₁	—	2	1	no	—
630	C₂²⋊C₄×C₄₁	—	2	1	no	—
631	C₂²⋊C₄×C₄₁	—	2	1	no	—
632	C₂²⋊C₄×C₄₁	—	2	1	no	—
633	C₂²⋊C₄×C₄₁	—	2	1	no	—
634	C₂²⋊C₄×C₄₁	—	2	1	no	—
635	C₂²⋊C₄×C₄₁	—	2	1	no	—
636	C₂²⋊C₄×C₄₁	—	2	1	no	—
637	C₂²⋊C₄×C₄₁	—	2	1	no	—
638	C₂²⋊C₄×C₄₁	—	2	1	no	—
639	C₂²⋊C₄×C₄₁	—	2	1	no	—
640	C₂²⋊C₄×C₄₁	—	2	1	no	—
641	C₂²⋊C₄×C₄₁	—	2	1	no	—
642	C₂²⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
643	C₂²⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
644	C₂²⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
645	C₂²⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
646	C₂²⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
647	C₂²⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
648	C₂²⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
649	C₂²⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
650	C₂²⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
651	C₂²⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
652	C₄²×C₄₁	—	2	1	no	—
653	C₄²×C₄₁	—	2	1	no	—
654	C₄²×C₄₁	—	2	1	no	—
655	C₄²×C₄₁	—	2	1	no	—
656	C₄²×C₄₁	—	2	1	no	—
657	C₄²×C₄₁	—	2	1	no	—
658	C₄²×C₄₁	—	2	1	no	—
659	C₄²×C₄₁	—	2	1	no	—
660	C₄²×C₄₁	—	2	1	no	—
661	C₄²×C₄₁	—	2	1	no	—
662	C₄²×C₄₁	—	2	1	no	—
663	C₄²×C₄₁	—	2	1	no	—
664	C₄²×C₄₁	—	2	1	no	—
665	C₄²×C₄₁	—	2	1	no	—
666	C₄²×C₄₁	C₂×D₄	1	1	yes	characteristic
667	C₄²×C₄₁	C₂×D₄	1	1	yes	characteristic
668	C₄²×C₄₁	C₂⁴	1	1	yes	characteristic
669	C₄²×C₄₁	C₂⁴	1	1	yes	characteristic
670	C₄²×C₄₁	C₂⁴	1	1	yes	characteristic
671	C₄²×C₄₁	C₂⁴	1	1	yes	characteristic
672	C₂³×C₄₁	—	2	1	no	—
673	C₂³×C₄₁	—	2	1	no	—
674	C₂³×C₄₁	C₂²×D₄	1	1	yes	characteristic
675	C₂³×C₄₁	C₂²×D₄	1	1	yes	characteristic
676	C₂³×C₄₁	C₂²×D₄	1	1	yes	characteristic
677	Q₈×C₄₁	—	2	1	no	—
678	Q₈×C₄₁	—	2	1	no	—
679	Q₈×C₄₁	—	2	1	no	—
680	Q₈×C₄₁	—	2	1	no	—
681	Q₈×C₄₁	—	2	1	no	—
682	Q₈×C₄₁	—	2	1	no	—
683	Q₈×C₄₁	—	2	1	no	—
684	Q₈×C₄₁	—	4	1	no	—
685	Q₈×C₄₁	—	4	2	no	—
686	Q₈×C₄₁	—	4	2	no	—
687	Q₈×C₄₁	—	8	1	no	—
688	Q₈×C₄₁	—	8	1	no	—
689	Q₈×C₄₁	—	8	1	no	—
690	Q₈×C₄₁	—	8	1	no	—
691	Q₈×C₄₁	—	8	1	no	—
692	Q₈×C₄₁	—	8	1	no	—
693	Q₈×C₄₁	—	8	1	no	—
694	Q₈×C₄₁	2₋¹⁺⁴	1	2	yes	—
695	D₄×C₄₁	—	2	2	no	—
696	D₄×C₄₁	—	2	2	no	—
697	D₄×C₄₁	—	2	1	no	—
698	D₄×C₄₁	—	2	1	no	—
699	D₄×C₄₁	—	2	1	no	—
700	D₄×C₄₁	—	2	1	no	—
701	D₄×C₄₁	—	4	1	no	—
702	D₄×C₄₁	—	4	2	no	—
703	D₄×C₄₁	—	4	2	no	—
704	D₄×C₄₁	—	4	2	no	—
705	D₄×C₄₁	—	8	1	no	—
706	D₄×C₄₁	—	8	1	no	—
707	D₄×C₄₁	—	8	1	no	—
708	C₂×C₄×C₄₁	—	2	2	no	—
709	C₂×C₄×C₄₁	—	2	1	no	—
710	C₂×C₄×C₄₁	—	2	1	no	—
711	C₂×C₄×C₄₁	—	2	1	no	—
712	C₂×C₄×C₄₁	—	2	1	no	—
713	C₂×C₄×C₄₁	—	2	1	no	—
714	C₂×C₄×C₄₁	—	2	1	no	—
715	C₂×C₄×C₄₁	—	2	1	no	—
716	C₂×C₄×C₄₁	—	2	1	no	—
717	C₂×C₄×C₄₁	—	2	1	no	—
718	C₂×C₄×C₄₁	—	2	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	—	4	1	no	—
730	C₂×C₄×C₄₁	—	4	2	no	—
731	C₂×C₄×C₄₁	—	4	2	no	—
732	C₂×C₄×C₄₁	—	4	2	no	—
733	C₂×C₄×C₄₁	—	4	2	no	—
734	C₂×C₄×C₄₁	—	4	2	no	—
735	C₂×C₄×C₄₁	—	4	2	no	—
736	C₂×C₄×C₄₁	—	8	1	no	—
737	C₂×C₄×C₄₁	—	8	1	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	C₂²×D₄	1	1	yes	characteristic
745	C₂×C₄×C₄₁	C₂²×D₄	1	1	yes	characteristic
746	C₂×C₄×C₄₁	C₂²×D₄	1	1	yes	characteristic
747	C₂×C₄×C₄₁	C₂²×D₄	1	1	yes	characteristic
748	C₂×C₄×C₄₁	C₂²×D₄	1	1	yes	characteristic
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	C₂⁵	1	1	yes	characteristic
756	C₈×C₄₁	—	2	1	no	—
757	C₈×C₄₁	—	2	1	no	—
758	C₈×C₄₁	—	2	1	no	—
759	C₈×C₄₁	—	2	1	no	—
760	C₈×C₄₁	—	2	1	no	—
761	C₈×C₄₁	—	2	1	no	—
762	C₈×C₄₁	—	2	1	no	—
763	C₈×C₄₁	—	2	1	no	—
764	#62157	C₄₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
765	C₂²×C₄₁	—	2	1	no	—
766	C₂²×C₄₁	—	2	1	no	—
767	C₂²×C₄₁	—	2	1	no	—
768	C₂²×C₄₁	—	2	1	no	—
769	C₂²×C₄₁	—	2	1	no	—
770	C₂²×C₄₁	—	2	1	no	—
771	C₂²×C₄₁	—	2	1	no	—
772	C₂²×C₄₁	—	2	1	no	—
773	C₂²×C₄₁	—	4	1	no	—
774	C₂²×C₄₁	—	4	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	#577	1	2	yes	—
780	C₂²×C₄₁	C₂³×D₄	1	1	yes	characteristic
781	C₄×C₄₁	—	2	1	no	—
782	C₄×C₄₁	—	2	1	no	—
783	C₄×C₄₁	—	2	1	no	—
784	C₄×C₄₁	—	2	1	no	—
785	C₄×C₄₁	—	2	1	no	—
786	C₄×C₄₁	—	2	1	no	—
787	C₄×C₄₁	—	2	1	no	—
788	C₄×C₄₁	—	2	2	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	—	4	1	no	—
794	C₄×C₄₁	—	4	1	no	—
795	C₄×C₄₁	—	4	1	no	—
796	C₄×C₄₁	—	4	1	no	—
797	C₄×C₄₁	—	4	1	no	—
798	C₄×C₄₁	—	4	1	no	—
799	C₄×C₄₁	—	4	1	no	—
800	C₄×C₄₁	—	4	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	C₂×2₋¹⁺⁴	1	1	yes	characteristic
807	C₄×C₄₁	#585	1	1	yes	characteristic
808	#3544	C₂×C₄₁	1	1	yes	characteristic, complemented
809	#3516	C₂×C₄₁	1	1	yes	characteristic, complemented
810	#3388	C₂×C₄₁	1	1	yes	characteristic, complemented
811	#3387	C₂×C₄₁	1	1	yes	characteristic, complemented
812	#3376	C₂×C₄₁	1	1	yes	characteristic, complemented
813	#3369	C₂×C₄₁	1	1	yes	characteristic, complemented
814	#3348	C₂×C₄₁	1	1	yes	characteristic, complemented
815	#3345	C₂×C₄₁	1	1	yes	characteristic, complemented
816	#3344	C₂×C₄₁	1	1	yes	characteristic, complemented
817	#3344	C₂×C₄₁	1	1	yes	characteristic, complemented
818	#3337	C₂×C₄₁	1	1	yes	characteristic, complemented
819	#3335	C₂×C₄₁	1	1	yes	characteristic, complemented
820	#3321	C₂×C₄₁	1	1	yes	characteristic, complemented
821	#3316	C₂×C₄₁	1	1	yes	characteristic, complemented
822	#3312	C₂×C₄₁	1	1	yes	characteristic, complemented
823	#3308	C₂×C₄₁	1	1	yes	characteristic, complemented
824	#3300	C₂×C₄₁	1	1	yes	characteristic, complemented
825	#3298	C₂×C₄₁	1	1	yes	characteristic, complemented
826	#3263	C₂×C₄₁	1	1	yes	characteristic, complemented
827	#3258	C₂×C₄₁	1	1	yes	characteristic, complemented
828	#3250	C₂×C₄₁	1	1	yes	characteristic, complemented
829	#3244	C₂×C₄₁	1	1	yes	characteristic, complemented
830	#3242	C₂×C₄₁	1	1	yes	characteristic, complemented
831	#3238	C₂×C₄₁	1	1	yes	characteristic, complemented
832	#3125	C₂×C₄₁	1	1	yes	characteristic, complemented
833	#3121	C₂×C₄₁	1	1	yes	characteristic, complemented
834	#3117	C₂×C₄₁	1	1	yes	characteristic, complemented
835	#3084	C₂×C₄₁	1	1	yes	characteristic, complemented
836	#3082	C₂×C₄₁	1	1	yes	characteristic, complemented
837	C₂×#475	C₂×C₄₁	1	1	yes	characteristic, complemented
838	#2992	C₂×C₄₁	1	1	yes	characteristic, complemented
839	C₂×C₄₁	—	2	2	no	—
840	C₂×C₄₁	—	4	1	no	—
841	C₂×C₄₁	—	4	1	no	—
842	C₂×C₄₁	—	8	1	no	—
843	C₂×C₄₁	—	8	1	no	—
844	C₂×C₄₁	#3489	1	1	yes	characteristic
845	C₂×C₄₁	C₂×#577	1	1	yes	characteristic
846	C₂×C₄₁	#3586	1	1	yes	characteristic
847	#563	—	2	1	no	—
848	#563	—	2	1	no	—
849	Q₈²	C₂²×C₄₁	1	1	yes	characteristic
850	#557	C₂²×C₄₁	1	1	yes	characteristic
851	#556	—	2	1	no	—
852	#556	C₂²×C₄₁	1	1	yes	characteristic
853	#555	C₂²×C₄₁	1	1	yes	characteristic
854	#554	—	2	1	no	—
855	#554	C₂²×C₄₁	1	1	yes	characteristic
856	#554	C₂²×C₄₁	1	1	yes	characteristic
857	#554	C₂²×C₄₁	1	1	yes	characteristic
858	#553	—	2	1	no	—
859	#553	C₂²×C₄₁	1	1	yes	characteristic
860	#552	—	2	1	no	—
861	#552	—	2	1	no	—
862	#552	C₂²×C₄₁	1	1	yes	characteristic
863	#552	C₂²×C₄₁	1	1	yes	characteristic
864	#552	C₂²×C₄₁	1	1	yes	characteristic
865	D₄×Q₈	C₂²×C₄₁	1	1	yes	characteristic
866	#548	C₂²×C₄₁	1	1	yes	characteristic
867	#548	C₂²×C₄₁	1	1	yes	characteristic
868	#547	—	2	1	no	—
869	#547	C₂²×C₄₁	1	1	yes	characteristic
870	#547	C₂²×C₄₁	1	1	yes	characteristic
871	#544	—	2	1	no	—
872	#544	C₂²×C₄₁	1	1	yes	characteristic
873	#544	C₂²×C₄₁	1	1	yes	characteristic
874	#542	—	2	1	no	—
875	#542	—	2	1	no	—
876	#542	C₂²×C₄₁	1	1	yes	characteristic
877	#542	C₂²×C₄₁	1	1	yes	characteristic
878	#542	C₂²×C₄₁	1	1	yes	characteristic
879	#541	—	2	1	no	—
880	#541	C₂²×C₄₁	1	1	yes	characteristic
881	#536	—	2	1	no	—
882	#536	—	2	1	no	—
883	C₂×C₄⋊Q₈	C₂²×C₄₁	1	1	yes	characteristic
884	#529	—	2	1	no	—
885	#529	—	2	1	no	—
886	#529	C₂²×C₄₁	1	1	yes	characteristic
887	#529	C₂²×C₄₁	1	1	yes	characteristic
888	#529	C₂²×C₄₁	1	1	yes	characteristic
889	#520	C₂²×C₄₁	1	1	yes	characteristic
890	#519	C₂²×C₄₁	1	1	yes	characteristic
891	C₂×C₄×Q₈	C₂²×C₄₁	1	1	yes	characteristic
892	#501	C₂²×C₄₁	1	1	yes	characteristic
893	#501	C₂²×C₄₁	1	1	yes	characteristic
894	#501	C₂²×C₄₁	1	1	yes	characteristic
895	#501	C₂²×C₄₁	1	1	yes	characteristic
896	#499	C₂²×C₄₁	1	1	yes	characteristic
897	#498	C₂²×C₄₁	1	1	yes	characteristic
898	#491	C₂²×C₄₁	1	1	yes	characteristic
899	#489	C₂²×C₄₁	1	1	yes	characteristic
900	#489	C₂²×C₄₁	1	1	yes	characteristic
901	#489	C₂²×C₄₁	1	1	yes	characteristic
902	#488	C₂²×C₄₁	1	1	yes	characteristic
903	#487	C₂²×C₄₁	1	1	yes	characteristic
904	#485	C₂²×C₄₁	1	1	yes	characteristic
905	#485	C₂²×C₄₁	1	1	yes	characteristic
906	#485	C₂²×C₄₁	1	1	yes	characteristic
907	#485	C₂²×C₄₁	1	1	yes	characteristic
908	#484	C₂²×C₄₁	1	1	yes	characteristic
909	#484	C₂²×C₄₁	1	1	yes	characteristic
910	#483	C₂²×C₄₁	1	1	yes	characteristic
911	#483	C₂²×C₄₁	1	1	yes	characteristic
912	#483	C₂²×C₄₁	1	1	yes	characteristic
913	#483	C₂²×C₄₁	1	1	yes	characteristic
914	#483	C₂²×C₄₁	1	1	yes	characteristic
915	#482	C₂²×C₄₁	1	1	yes	characteristic
916	#482	C₂²×C₄₁	1	1	yes	characteristic
917	#481	C₂²×C₄₁	1	1	yes	characteristic
918	#481	C₂²×C₄₁	1	1	yes	characteristic
919	#481	C₂²×C₄₁	1	1	yes	characteristic
920	#480	C₂²×C₄₁	1	1	yes	characteristic
921	#480	C₂²×C₄₁	1	1	yes	characteristic
922	#479	C₂²×C₄₁	1	1	yes	characteristic
923	#479	C₂²×C₄₁	1	1	yes	characteristic
924	#479	C₂²×C₄₁	1	1	yes	characteristic
925	#479	C₂²×C₄₁	1	1	yes	characteristic
926	#479	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	#478	C₂²×C₄₁	1	1	yes	characteristic
931	#478	C₂²×C₄₁	1	1	yes	characteristic
932	#478	C₂²×C₄₁	1	1	yes	characteristic
933	#478	C₂²×C₄₁	1	1	yes	characteristic
934	#477	C₂²×C₄₁	1	1	yes	characteristic
935	#477	C₂²×C₄₁	1	1	yes	characteristic
936	#477	C₂²×C₄₁	1	1	yes	characteristic
937	#476	C₂²×C₄₁	1	1	yes	characteristic
938	#476	C₂²×C₄₁	1	1	yes	characteristic
939	#476	C₂²×C₄₁	1	1	yes	characteristic
940	#476	C₂²×C₄₁	1	1	yes	characteristic
941	#475	C₂²×C₄₁	1	1	yes	characteristic
942	#475	C₂²×C₄₁	1	1	yes	characteristic
943	#475	C₂²×C₄₁	1	1	yes	characteristic
944	#475	C₂²×C₄₁	1	1	yes	characteristic
945	#475	C₂²×C₄₁	1	1	yes	characteristic
946	#475	C₂²×C₄₁	1	1	yes	characteristic
947	#475	C₂²×C₄₁	1	1	yes	characteristic
948	#475	C₂²×C₄₁	1	1	yes	characteristic
949	#475	C₂²×C₄₁	1	1	yes	characteristic
950	#475	C₂²×C₄₁	1	1	yes	characteristic
951	#475	C₂²×C₄₁	1	1	yes	characteristic
952	#470	C₂²×C₄₁	1	1	yes	characteristic
953	#470	C₂²×C₄₁	1	1	yes	characteristic
954	#469	C₂²×C₄₁	1	1	yes	characteristic
955	#468	C₂²×C₄₁	1	1	yes	characteristic
956	#467	C₂²×C₄₁	1	1	yes	characteristic
957	#467	C₂²×C₄₁	1	1	yes	characteristic
958	#466	C₂²×C₄₁	1	1	yes	characteristic
959	#465	C₂²×C₄₁	1	1	yes	characteristic
960	#465	C₂²×C₄₁	1	1	yes	characteristic
961	#465	C₂²×C₄₁	1	1	yes	characteristic
962	#465	C₂²×C₄₁	1	1	yes	characteristic
963	#465	C₂²×C₄₁	1	1	yes	characteristic
964	#464	C₂²×C₄₁	1	1	yes	characteristic
965	#464	C₂²×C₄₁	1	1	yes	characteristic
966	#464	C₂²×C₄₁	1	1	yes	characteristic
967	#464	C₂²×C₄₁	1	1	yes	characteristic
968	#464	C₂²×C₄₁	1	1	yes	characteristic
969	#463	C₂²×C₄₁	1	1	yes	characteristic
970	#463	C₂²×C₄₁	1	1	yes	characteristic
971	#463	C₂²×C₄₁	1	1	yes	characteristic
972	#462	C₂²×C₄₁	1	1	yes	characteristic
973	#461	C₂²×C₄₁	1	1	yes	characteristic
974	#452	C₂²×C₄₁	1	1	yes	characteristic
975	#451	C₂²×C₄₁	1	1	yes	characteristic
976	#451	C₂²×C₄₁	1	1	yes	characteristic
977	#449	C₂²×C₄₁	1	1	yes	characteristic
978	#448	C₂²×C₄₁	1	1	yes	characteristic
979	#448	C₂²×C₄₁	1	1	yes	characteristic
980	#446	C₂²×C₄₁	1	1	yes	characteristic
981	#446	C₂²×C₄₁	1	1	yes	characteristic
982	#442	C₂²×C₄₁	1	1	yes	characteristic
983	#441	C₂²×C₄₁	1	1	yes	characteristic
984	#441	C₂²×C₄₁	1	1	yes	characteristic
985	#441	C₂²×C₄₁	1	1	yes	characteristic
986	#441	C₂²×C₄₁	1	1	yes	characteristic
987	#440	C₂²×C₄₁	1	1	yes	characteristic
988	#440	C₂²×C₄₁	1	1	yes	characteristic
989	#440	C₂²×C₄₁	1	1	yes	characteristic
990	C₄×Q₁₆	C₂²×C₄₁	1	1	yes	characteristic
991	C₄×SD₁₆	C₂²×C₄₁	1	1	yes	characteristic
992	C₄×SD₁₆	C₂²×C₄₁	1	1	yes	characteristic
993	C₄×SD₁₆	C₂²×C₄₁	1	1	yes	characteristic
994	#435	C₂²×C₄₁	1	1	yes	characteristic
995	#435	C₂²×C₄₁	1	1	yes	characteristic
996	#435	C₂²×C₄₁	1	1	yes	characteristic
997	#435	C₂²×C₄₁	1	1	yes	characteristic
998	C₈×D₄	C₂²×C₄₁	1	1	yes	characteristic
999	C₈×D₄	C₂²×C₄₁	1	1	yes	characteristic
1000	#433	C₂²×C₄₁	1	1	yes	characteristic
1001	#433	C₂²×C₄₁	1	1	yes	characteristic
1002	#432	C₂²×C₄₁	1	1	yes	characteristic
1003	#428	C₂²×C₄₁	1	1	yes	characteristic
1004	#428	C₂²×C₄₁	1	1	yes	characteristic
1005	#427	C₂²×C₄₁	1	1	yes	characteristic
1006	C₂×#106	C₂²×C₄₁	1	1	yes	characteristic
1007	C₂×#106	C₂²×C₄₁	1	1	yes	characteristic
1008	C₂×#106	C₂²×C₄₁	1	1	yes	characteristic
1009	#424	C₂²×C₄₁	1	1	yes	characteristic
1010	#424	C₂²×C₄₁	1	1	yes	characteristic
1011	C₂×C₄⋊C₈	C₂²×C₄₁	1	1	yes	characteristic
1012	#419	C₂²×C₄₁	1	1	yes	characteristic
1013	#417	C₂²×C₄₁	1	1	yes	characteristic
1014	#416	C₂²×C₄₁	1	1	yes	characteristic
1015	C₂×#103	C₂²×C₄₁	1	1	yes	characteristic
1016	C₂×#103	C₂²×C₄₁	1	1	yes	characteristic
1017	C₂×#103	C₂²×C₄₁	1	1	yes	characteristic
1018	C₄₁	#62157	1	1	yes	characteristic, direct product factor, Sylow
1019	C₂×#41	—	2	1	no	—
1020	C₂×#41	—	2	1	no	—
1021	C₂×#41	C₂³×C₄₁	1	1	yes	characteristic
1022	C₂²×Q₈	—	2	1	no	—
1023	C₂²×Q₈	C₂³×C₄₁	1	1	yes	characteristic
1024	C₂²×Q₈	C₂³×C₄₁	1	1	yes	characteristic
1025	C₂×Q₁₆	C₂³×C₄₁	1	1	yes	characteristic
1026	C₂×Q₁₆	C₂³×C₄₁	1	1	yes	characteristic
1027	C₂×Q₁₆	C₂³×C₄₁	1	1	yes	characteristic
1028	C₂×SD₁₆	C₂³×C₄₁	1	1	yes	characteristic
1029	C₂×SD₁₆	C₂³×C₄₁	1	1	yes	characteristic
1030	C₂×SD₁₆	C₂³×C₄₁	1	1	yes	characteristic
1031	C₂×SD₁₆	C₂³×C₄₁	1	1	yes	characteristic
1032	C₂×D₈	C₂³×C₄₁	1	1	yes	characteristic
1033	C₂×M₁₆	C₂³×C₄₁	1	1	yes	characteristic
1034	C₂×M₁₆	C₂³×C₄₁	1	1	yes	characteristic
1035	C₂²×C₈	C₂³×C₄₁	1	1	yes	characteristic
1036	C₂²×C₈	C₂³×C₄₁	1	1	yes	characteristic
1037	C₂²×C₈	C₂³×C₄₁	1	1	yes	characteristic
1038	C₂²×C₈	C₂³×C₄₁	1	1	yes	characteristic
1039	C₄⋊Q₈	—	2	1	no	—
1040	C₄⋊Q₈	—	2	1	no	—
1041	C₄⋊Q₈	—	2	1	no	—
1042	C₄⋊Q₈	—	2	1	no	—
1043	C₄⋊Q₈	—	2	1	no	—
1044	C₄⋊Q₈	—	2	1	no	—
1045	C₄⋊Q₈	—	2	1	no	—
1046	C₄⋊Q₈	—	2	1	no	—
1047	C₄⋊Q₈	—	2	1	no	—
1048	C₄⋊Q₈	C₂³×C₄₁	1	1	yes	characteristic
1049	C₄⋊Q₈	C₂³×C₄₁	1	1	yes	characteristic
1050	C₄⋊Q₈	C₂³×C₄₁	1	1	yes	characteristic
1051	C₄⋊Q₈	C₂³×C₄₁	1	1	yes	characteristic
1052	C₄⋊Q₈	C₂³×C₄₁	1	1	yes	characteristic
1053	C₄⋊Q₈	C₂³×C₄₁	1	1	yes	characteristic
1054	C₄⋊Q₈	C₂³×C₄₁	1	1	yes	characteristic
1055	C₄⋊Q₈	C₂³×C₄₁	1	1	yes	characteristic
1056	#126	—	2	1	no	—
1057	#126	—	2	1	no	—
1058	#126	—	2	1	no	—
1059	#126	—	2	1	no	—
1060	#126	—	2	1	no	—
1061	#126	—	2	1	no	—
1062	#126	—	2	1	no	—
1063	#126	—	2	1	no	—
1064	#126	—	2	1	no	—
1065	#126	—	2	1	no	—
1066	#126	—	2	1	no	—
1067	#126	—	2	1	no	—
1068	#126	—	2	1	no	—
1069	#126	D₄×C₄₁	1	1	yes	characteristic
1070	#126	D₄×C₄₁	1	1	yes	characteristic
1071	#125	—	2	1	no	—
1072	#125	—	2	1	no	—
1073	#125	—	2	1	no	—
1074	#125	—	2	1	no	—
1075	#125	—	2	1	no	—
1076	#125	—	2	1	no	—
1077	#125	—	2	1	no	—
1078	#125	—	2	1	no	—
1079	#125	—	2	1	no	—
1080	#125	—	2	1	no	—
1081	#125	—	2	1	no	—
1082	#125	D₄×C₄₁	1	1	yes	characteristic
1083	#125	C₂³×C₄₁	1	1	yes	characteristic
1084	#125	C₂³×C₄₁	1	1	yes	characteristic
1085	#125	C₂³×C₄₁	1	1	yes	characteristic
1086	#125	C₂³×C₄₁	1	1	yes	characteristic
1087	#125	C₂³×C₄₁	1	1	yes	characteristic
1088	#124	—	2	1	no	—
1089	#124	—	2	1	no	—
1090	#124	—	2	1	no	—
1091	#124	—	2	1	no	—
1092	#124	—	2	1	no	—
1093	#124	—	2	1	no	—
1094	#124	—	2	1	no	—
1095	#124	D₄×C₄₁	1	1	yes	characteristic
1096	#124	C₂³×C₄₁	1	1	yes	characteristic
1097	#124	C₂³×C₄₁	1	1	yes	characteristic
1098	#124	C₂³×C₄₁	1	1	yes	characteristic
1099	#123	—	2	1	no	—
1100	#123	—	2	1	no	—
1101	#123	—	2	1	no	—
1102	#123	—	2	1	no	—
1103	#123	—	2	1	no	—
1104	#123	—	2	1	no	—
1105	#123	—	2	1	no	—
1106	#123	—	2	1	no	—
1107	#123	—	2	1	no	—
1108	#123	—	2	1	no	—
1109	#123	—	2	1	no	—
1110	#123	—	2	1	no	—
1111	#123	—	2	1	no	—
1112	#123	D₄×C₄₁	1	1	yes	characteristic
1113	#123	D₄×C₄₁	1	1	yes	characteristic
1114	C₂²⋊Q₈	—	2	1	no	—
1115	C₂²⋊Q₈	—	2	1	no	—
1116	C₂²⋊Q₈	—	2	1	no	—
1117	C₂²⋊Q₈	—	2	1	no	—
1118	C₂²⋊Q₈	—	2	1	no	—
1119	C₂²⋊Q₈	—	2	1	no	—
1120	C₂²⋊Q₈	—	2	1	no	—
1121	C₂²⋊Q₈	—	2	1	no	—
1122	C₂²⋊Q₈	—	2	1	no	—
1123	C₂²⋊Q₈	—	2	1	no	—
1124	C₂²⋊Q₈	—	2	1	no	—
1125	C₂²⋊Q₈	—	2	1	no	—
1126	C₂²⋊Q₈	—	2	1	no	—
1127	C₂²⋊Q₈	—	2	1	no	—
1128	C₂²⋊Q₈	—	2	1	no	—
1129	C₂²⋊Q₈	—	2	1	no	—
1130	C₂²⋊Q₈	—	2	1	no	—
1131	C₂²⋊Q₈	—	2	1	no	—
1132	C₂²⋊Q₈	—	2	1	no	—
1133	C₂²⋊Q₈	—	2	1	no	—
1134	C₂²⋊Q₈	—	2	1	no	—
1135	C₂²⋊Q₈	D₄×C₄₁	1	1	yes	characteristic
1136	C₂²⋊Q₈	C₂³×C₄₁	1	1	yes	characteristic
1137	C₂²⋊Q₈	C₂³×C₄₁	1	1	yes	characteristic
1138	C₂²⋊Q₈	C₂³×C₄₁	1	1	yes	characteristic
1139	C₂²⋊Q₈	C₂³×C₄₁	1	1	yes	characteristic
1140	C₂²⋊Q₈	C₂³×C₄₁	1	1	yes	characteristic
1141	C₂²⋊Q₈	C₂³×C₄₁	1	1	yes	characteristic
1142	C₂²⋊Q₈	C₂³×C₄₁	1	1	yes	characteristic
1143	#121	—	2	1	no	—
1144	#121	—	2	1	no	—
1145	#121	—	2	1	no	—
1146	#121	—	2	1	no	—
1147	#121	D₄×C₄₁	1	1	yes	characteristic
1148	#121	C₂³×C₄₁	1	1	yes	characteristic
1149	#121	C₂³×C₄₁	1	1	yes	characteristic
1150	#121	C₂³×C₄₁	1	1	yes	characteristic
1151	#121	C₂³×C₄₁	1	1	yes	characteristic
1152	#121	C₂³×C₄₁	1	1	yes	characteristic
1153	C₄×Q₈	—	2	1	no	—
1154	C₄×Q₈	—	2	1	no	—
1155	C₄×Q₈	—	2	1	no	—
1156	C₄×Q₈	—	2	1	no	—
1157	C₄×Q₈	—	2	1	no	—
1158	C₄×Q₈	—	2	1	no	—
1159	C₄×Q₈	C₂³×C₄₁	1	1	yes	characteristic
1160	C₄×Q₈	C₂³×C₄₁	1	1	yes	characteristic
1161	C₄×Q₈	C₂³×C₄₁	1	1	yes	characteristic
1162	C₄×Q₈	C₂³×C₄₁	1	1	yes	characteristic
1163	C₄×Q₈	C₂³×C₄₁	1	1	yes	characteristic
1164	C₄×Q₈	C₂³×C₄₁	1	1	yes	characteristic
1165	C₄×Q₈	C₂³×C₄₁	1	1	yes	characteristic
1166	C₄×Q₈	C₂³×C₄₁	1	1	yes	characteristic
1167	C₄×Q₈	C₂³×C₄₁	1	1	yes	characteristic
1168	C₄×Q₈	C₂³×C₄₁	1	1	yes	characteristic
1169	C₄×Q₈	C₂³×C₄₁	1	1	yes	characteristic
1170	C₄×Q₈	C₂³×C₄₁	1	1	yes	characteristic
1171	C₄×D₄	—	2	1	no	—
1172	C₄×D₄	—	2	1	no	—
1173	C₄×D₄	—	2	1	no	—
1174	C₄×D₄	—	2	1	no	—
1175	C₄×D₄	—	2	1	no	—
1176	C₄×D₄	—	2	1	no	—
1177	C₄×D₄	—	2	1	no	—
1178	C₄×D₄	—	2	1	no	—
1179	C₄×D₄	—	2	1	no	—
1180	C₄×D₄	—	2	1	no	—
1181	C₄×D₄	C₂³×C₄₁	1	1	yes	characteristic
1182	C₄×D₄	C₂³×C₄₁	1	1	yes	characteristic
1183	C₄×D₄	C₂³×C₄₁	1	1	yes	characteristic
1184	C₄×D₄	C₂³×C₄₁	1	1	yes	characteristic
1185	C₄×D₄	C₂³×C₄₁	1	1	yes	characteristic
1186	C₄×D₄	C₂³×C₄₁	1	1	yes	characteristic
1187	C₄×D₄	C₂³×C₄₁	1	1	yes	characteristic
1188	C₄×D₄	C₂³×C₄₁	1	1	yes	characteristic
1189	#117	—	2	1	no	—
1190	#117	—	2	1	no	—
1191	#117	—	2	1	no	—
1192	#117	—	2	1	no	—
1193	#117	—	2	1	no	—
1194	#117	—	2	1	no	—
1195	#117	—	2	1	no	—
1196	#117	—	2	1	no	—
1197	#117	—	2	1	no	—
1198	#117	—	2	1	no	—
1199	#117	C₂³×C₄₁	1	1	yes	characteristic
1200	#117	C₂³×C₄₁	1	1	yes	characteristic
1201	#117	C₂³×C₄₁	1	1	yes	characteristic
1202	#117	C₂³×C₄₁	1	1	yes	characteristic
1203	#117	C₂³×C₄₁	1	1	yes	characteristic
1204	C₂×C₄⋊C₄	—	2	1	no	—
1205	C₂×C₄⋊C₄	—	2	1	no	—
1206	C₂×C₄⋊C₄	—	2	1	no	—
1207	C₂×C₄⋊C₄	—	2	1	no	—
1208	C₂×C₄⋊C₄	C₂³×C₄₁	1	1	yes	characteristic
1209	C₂×C₄⋊C₄	C₂³×C₄₁	1	1	yes	characteristic
1210	C₂×C₄⋊C₄	C₂³×C₄₁	1	1	yes	characteristic
1211	C₂×C₄⋊C₄	C₂³×C₄₁	1	1	yes	characteristic
1212	C₂×C₄⋊C₄	C₂³×C₄₁	1	1	yes	characteristic
1213	C₂×C₄⋊C₄	C₂³×C₄₁	1	1	yes	characteristic
1214	C₂×C₄²	—	2	1	no	—
1215	C₂×C₄²	C₂³×C₄₁	1	1	yes	characteristic
1216	#107	C₂³×C₄₁	1	1	yes	characteristic
1217	#107	C₂³×C₄₁	1	1	yes	characteristic
1218	#107	C₂³×C₄₁	1	1	yes	characteristic
1219	#107	C₂³×C₄₁	1	1	yes	characteristic
1220	#107	C₂³×C₄₁	1	1	yes	characteristic
1221	#107	C₂³×C₄₁	1	1	yes	characteristic
1222	#107	C₂³×C₄₁	1	1	yes	characteristic
1223	#107	C₂³×C₄₁	1	1	yes	characteristic
1224	#106	C₂³×C₄₁	1	1	yes	characteristic
1225	#106	C₂³×C₄₁	1	1	yes	characteristic
1226	#106	C₂³×C₄₁	1	1	yes	characteristic
1227	#106	C₂³×C₄₁	1	1	yes	characteristic
1228	#106	C₂³×C₄₁	1	1	yes	characteristic
1229	#106	C₂³×C₄₁	1	1	yes	characteristic
1230	#106	C₂³×C₄₁	1	1	yes	characteristic
1231	#106	C₂³×C₄₁	1	1	yes	characteristic
1232	#106	C₂³×C₄₁	1	1	yes	characteristic
1233	#106	C₂³×C₄₁	1	1	yes	characteristic
1234	#106	C₂³×C₄₁	1	1	yes	characteristic
1235	#106	C₂³×C₄₁	1	1	yes	characteristic
1236	#106	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	C₄⋊C₈	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	#103	C₂³×C₄₁	1	1	yes	characteristic
1251	#103	C₂³×C₄₁	1	1	yes	characteristic
1252	#103	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	#102	C₂³×C₄₁	1	1	yes	characteristic
1273	#102	C₂³×C₄₁	1	1	yes	characteristic
1274	#102	C₂³×C₄₁	1	1	yes	characteristic
1275	#102	C₂³×C₄₁	1	1	yes	characteristic
1276	#102	C₂³×C₄₁	1	1	yes	characteristic
1277	#102	C₂³×C₄₁	1	1	yes	characteristic
1278	#102	C₂³×C₄₁	1	1	yes	characteristic
1279	#102	C₂³×C₄₁	1	1	yes	characteristic
1280	#102	C₂³×C₄₁	1	1	yes	characteristic
1281	#102	C₂³×C₄₁	1	1	yes	characteristic
1282	C₂²⋊C₈	C₂³×C₄₁	1	1	yes	characteristic
1283	C₂²⋊C₈	C₂³×C₄₁	1	1	yes	characteristic
1284	C₂²⋊C₈	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	#97	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	C₄×C₈	C₂³×C₄₁	1	1	yes	characteristic
1293	C₄×C₈	C₂³×C₄₁	1	1	yes	characteristic
1294	#41	—	2	2	no	—
1295	#41	—	4	1	no	—
1296	#41	—	8	2	no	—
1297	#41	—	8	2	no	—
1298	C₂×Q₈	—	2	1	no	—
1299	C₂×Q₈	—	2	1	no	—
1300	C₂×Q₈	—	2	1	no	—
1301	C₂×Q₈	—	2	1	no	—
1302	C₂×Q₈	—	2	1	no	—
1303	C₂×Q₈	—	2	1	no	—
1304	C₂×Q₈	—	2	1	no	—
1305	C₂×Q₈	—	2	1	no	—
1306	C₂×Q₈	—	2	1	no	—
1307	C₂×Q₈	—	2	2	no	—
1308	C₂×Q₈	—	2	2	no	—
1309	C₂×Q₈	—	4	1	no	—
1310	C₂×Q₈	—	4	1	no	—
1311	C₂×Q₈	—	8	2	no	—
1312	C₂×Q₈	C₂×D₄×C₄₁	1	1	yes	characteristic
1313	C₂×Q₈	C₂⁴×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×D₄	—	2	1	no	—
1318	C₂×D₄	—	2	1	no	—
1319	C₂×D₄	—	2	1	no	—
1320	C₂×D₄	—	2	1	no	—
1321	C₂×D₄	—	2	1	no	—
1322	C₂×D₄	—	2	1	no	—
1323	C₂×D₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1324	C₂×D₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1325	C₂×D₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1326	C₂×D₄	C₂⁴×C₄₁	1	1	yes	characteristic
1327	C₂×D₄	C₂⁴×C₄₁	1	1	yes	characteristic
1328	C₂²×C₄	—	2	1	no	—
1329	C₂²×C₄	—	2	1	no	—
1330	C₂²×C₄	—	2	1	no	—
1331	C₂²×C₄	—	2	1	no	—
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	C₂×D₄×C₄₁	1	1	yes	characteristic
1343	C₂²×C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1344	C₂²×C₄	C₂⁴×C₄₁	1	1	yes	characteristic
1345	C₂²×C₄	C₂⁴×C₄₁	1	1	yes	characteristic
1346	C₂²×C₄	C₂⁴×C₄₁	1	1	yes	characteristic
1347	Q₁₆	—	2	2	no	—
1348	Q₁₆	—	4	1	no	—
1349	Q₁₆	—	4	1	no	—
1350	SD₁₆	—	2	2	no	—
1351	SD₁₆	—	4	1	no	—
1352	SD₁₆	—	4	1	no	—
1353	SD₁₆	—	4	1	no	—
1354	D₈	—	4	1	no	—
1355	M₁₆	—	4	1	no	—
1356	M₁₆	—	4	1	no	—
1357	C₂×C₈	—	4	1	no	—
1358	C₂×C₈	—	4	1	no	—
1359	C₂×C₈	—	4	1	no	—
1360	C₂×C₈	—	4	1	no	—
1361	C₂×C₈	C₂⁴×C₄₁	1	1	yes	characteristic
1362	C₂×C₈	C₂⁴×C₄₁	1	1	yes	characteristic
1363	C₂×C₈	C₂⁴×C₄₁	1	1	yes	characteristic
1364	C₂×C₈	C₂⁴×C₄₁	1	1	yes	characteristic
1365	C₂×C₈	C₂⁴×C₄₁	1	1	yes	characteristic
1366	C₂×C₈	C₂⁴×C₄₁	1	1	yes	characteristic
1367	C₂×C₈	C₂⁴×C₄₁	1	1	yes	characteristic
1368	C₂×C₈	C₂⁴×C₄₁	1	1	yes	characteristic
1369	C₄⋊C₄	—	2	1	no	—
1370	C₄⋊C₄	—	2	1	no	—
1371	C₄⋊C₄	—	2	1	no	—
1372	C₄⋊C₄	—	2	1	no	—
1373	C₄⋊C₄	—	2	1	no	—
1374	C₄⋊C₄	—	2	1	no	—
1375	C₄⋊C₄	—	2	1	no	—
1376	C₄⋊C₄	—	2	1	no	—
1377	C₄⋊C₄	—	2	1	no	—
1378	C₄⋊C₄	—	2	1	no	—
1379	C₄⋊C₄	—	2	1	no	—
1380	C₄⋊C₄	—	2	1	no	—
1381	C₄⋊C₄	—	2	1	no	—
1382	C₄⋊C₄	—	2	1	no	—
1383	C₄⋊C₄	—	2	1	no	—
1384	C₄⋊C₄	—	2	1	no	—
1385	C₄⋊C₄	—	2	1	no	—
1386	C₄⋊C₄	—	2	1	no	—
1387	C₄⋊C₄	—	2	1	no	—
1388	C₄⋊C₄	—	2	1	no	—
1389	C₄⋊C₄	—	2	1	no	—
1390	C₄⋊C₄	—	2	1	no	—
1391	C₄⋊C₄	—	2	1	no	—
1392	C₄⋊C₄	—	2	1	no	—
1393	C₄⋊C₄	—	2	1	no	—
1394	C₄⋊C₄	—	2	1	no	—
1395	C₄⋊C₄	—	2	1	no	—
1396	C₄⋊C₄	—	2	1	no	—
1397	C₄⋊C₄	—	2	1	no	—
1398	C₄⋊C₄	—	2	1	no	—
1399	C₄⋊C₄	—	2	1	no	—
1400	C₄⋊C₄	—	2	1	no	—
1401	C₄⋊C₄	—	2	1	no	—
1402	C₄⋊C₄	—	2	1	no	—
1403	C₄⋊C₄	—	2	1	no	—
1404	C₄⋊C₄	—	2	1	no	—
1405	C₄⋊C₄	—	2	1	no	—
1406	C₄⋊C₄	—	2	1	no	—
1407	C₄⋊C₄	—	2	1	no	—
1408	C₄⋊C₄	—	2	1	no	—
1409	C₄⋊C₄	—	2	1	no	—
1410	C₄⋊C₄	—	2	1	no	—
1411	C₄⋊C₄	—	2	1	no	—
1412	C₄⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1413	C₄⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1414	C₄⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1415	C₄⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1416	C₄⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1417	C₄⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1418	C₄⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1419	C₄⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1420	C₄⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1421	C₄⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1422	C₄⋊C₄	C₂⁴×C₄₁	1	1	yes	characteristic
1423	C₄⋊C₄	C₂⁴×C₄₁	1	1	yes	characteristic
1424	C₄⋊C₄	C₂⁴×C₄₁	1	1	yes	characteristic
1425	C₄⋊C₄	C₂⁴×C₄₁	1	1	yes	characteristic
1426	C₄⋊C₄	C₂⁴×C₄₁	1	1	yes	characteristic
1427	C₄⋊C₄	C₂⁴×C₄₁	1	1	yes	characteristic
1428	C₄⋊C₄	C₂⁴×C₄₁	1	1	yes	characteristic
1429	C₄⋊C₄	C₂⁴×C₄₁	1	1	yes	characteristic
1430	C₄⋊C₄	C₂⁴×C₄₁	1	1	yes	characteristic
1431	C₄⋊C₄	C₂⁴×C₄₁	1	1	yes	characteristic
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	—	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	C₂×D₄×C₄₁	1	1	yes	characteristic
1459	C₂²⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1460	C₂²⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1461	C₂²⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1462	C₂²⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1463	C₂²⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1464	C₂²⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1465	C₂²⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1466	C₂²⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1467	C₂²⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1468	C₄²	—	2	1	no	—
1469	C₄²	—	2	1	no	—
1470	C₄²	—	2	1	no	—
1471	C₄²	—	2	1	no	—
1472	C₄²	—	2	1	no	—
1473	C₄²	—	2	1	no	—
1474	C₄²	—	2	1	no	—
1475	C₄²	—	2	1	no	—
1476	C₄²	—	2	1	no	—
1477	C₄²	—	2	1	no	—
1478	C₄²	—	2	1	no	—
1479	C₄²	—	2	1	no	—
1480	C₄²	—	2	1	no	—
1481	C₄²	—	2	1	no	—
1482	C₄²	C₂×D₄×C₄₁	1	1	yes	characteristic
1483	C₄²	C₂×D₄×C₄₁	1	1	yes	characteristic
1484	C₄²	C₂⁴×C₄₁	1	1	yes	characteristic
1485	C₄²	C₂⁴×C₄₁	1	1	yes	characteristic
1486	C₄²	C₂⁴×C₄₁	1	1	yes	characteristic
1487	C₄²	C₂⁴×C₄₁	1	1	yes	characteristic
1488	C₂³	—	2	1	no	—
1489	C₂³	—	2	1	no	—
1490	C₂³	C₂²×D₄×C₄₁	1	1	yes	characteristic
1491	C₂³	C₂²×D₄×C₄₁	1	1	yes	characteristic
1492	C₂³	C₂²×D₄×C₄₁	1	1	yes	characteristic
1493	Q₈	—	2	1	no	—
1494	Q₈	—	2	1	no	—
1495	Q₈	—	2	1	no	—
1496	Q₈	—	2	1	no	—
1497	Q₈	—	2	1	no	—
1498	Q₈	—	2	1	no	—
1499	Q₈	—	2	1	no	—
1500	Q₈	—	4	1	no	—
1501	Q₈	—	4	2	no	—
1502	Q₈	—	4	2	no	—
1503	Q₈	—	8	1	no	—
1504	Q₈	—	8	1	no	—
1505	Q₈	—	8	1	no	—
1506	Q₈	—	8	1	no	—
1507	Q₈	—	8	1	no	—
1508	Q₈	—	8	1	no	—
1509	Q₈	—	8	1	no	—
1510	Q₈	2₋¹⁺⁴×C₄₁	1	2	yes	—
1511	D₄	—	2	2	no	—
1512	D₄	—	2	2	no	—
1513	D₄	—	2	1	no	—
1514	D₄	—	2	1	no	—
1515	D₄	—	2	1	no	—
1516	D₄	—	2	1	no	—
1517	D₄	—	4	1	no	—
1518	D₄	—	4	2	no	—
1519	D₄	—	4	2	no	—
1520	D₄	—	4	2	no	—
1521	D₄	—	8	1	no	—
1522	D₄	—	8	1	no	—
1523	D₄	—	8	1	no	—
1524	C₂×C₄	—	2	2	no	—
1525	C₂×C₄	—	2	1	no	—
1526	C₂×C₄	—	2	1	no	—
1527	C₂×C₄	—	2	1	no	—
1528	C₂×C₄	—	2	1	no	—
1529	C₂×C₄	—	2	1	no	—
1530	C₂×C₄	—	2	1	no	—
1531	C₂×C₄	—	2	1	no	—
1532	C₂×C₄	—	2	1	no	—
1533	C₂×C₄	—	2	1	no	—
1534	C₂×C₄	—	2	1	no	—
1535	C₂×C₄	—	2	1	no	—
1536	C₂×C₄	—	2	1	no	—
1537	C₂×C₄	—	2	1	no	—
1538	C₂×C₄	—	2	1	no	—
1539	C₂×C₄	—	2	1	no	—
1540	C₂×C₄	—	2	1	no	—
1541	C₂×C₄	—	2	1	no	—
1542	C₂×C₄	—	2	1	no	—
1543	C₂×C₄	—	2	1	no	—
1544	C₂×C₄	—	2	1	no	—
1545	C₂×C₄	—	4	1	no	—
1546	C₂×C₄	—	4	2	no	—
1547	C₂×C₄	—	4	2	no	—
1548	C₂×C₄	—	4	2	no	—
1549	C₂×C₄	—	4	2	no	—
1550	C₂×C₄	—	4	2	no	—
1551	C₂×C₄	—	4	2	no	—
1552	C₂×C₄	—	8	1	no	—
1553	C₂×C₄	—	8	1	no	—
1554	C₂×C₄	—	8	1	no	—
1555	C₂×C₄	—	8	1	no	—
1556	C₂×C₄	—	8	1	no	—
1557	C₂×C₄	—	8	1	no	—
1558	C₂×C₄	—	8	1	no	—
1559	C₂×C₄	—	8	1	no	—
1560	C₂×C₄	C₂²×D₄×C₄₁	1	1	yes	characteristic
1561	C₂×C₄	C₂²×D₄×C₄₁	1	1	yes	characteristic
1562	C₂×C₄	C₂²×D₄×C₄₁	1	1	yes	characteristic
1563	C₂×C₄	C₂²×D₄×C₄₁	1	1	yes	characteristic
1564	C₂×C₄	C₂²×D₄×C₄₁	1	1	yes	characteristic
1565	C₂×C₄	C₂²×D₄×C₄₁	1	1	yes	characteristic
1566	C₂×C₄	C₂²×D₄×C₄₁	1	1	yes	characteristic
1567	C₂×C₄	C₂²×D₄×C₄₁	1	1	yes	characteristic
1568	C₂×C₄	C₂²×D₄×C₄₁	1	1	yes	characteristic
1569	C₂×C₄	C₂²×D₄×C₄₁	1	1	yes	characteristic
1570	C₂×C₄	C₂²×D₄×C₄₁	1	1	yes	characteristic
1571	C₂×C₄	C₂⁵×C₄₁	1	1	yes	characteristic
1572	C₈	—	2	1	no	—
1573	C₈	—	2	1	no	—
1574	C₈	—	2	1	no	—
1575	C₈	—	2	1	no	—
1576	C₈	—	2	1	no	—
1577	C₈	—	2	1	no	—
1578	C₈	—	2	1	no	—
1579	C₈	—	2	1	no	—
1580	C₂²	—	2	1	no	—
1581	C₂²	—	2	1	no	—
1582	C₂²	—	2	1	no	—
1583	C₂²	—	2	1	no	—
1584	C₂²	—	2	1	no	—
1585	C₂²	—	2	1	no	—
1586	C₂²	—	2	1	no	—
1587	C₂²	—	2	1	no	—
1588	C₂²	—	4	1	no	—
1589	C₂²	—	4	1	no	—
1590	C₂²	—	4	1	no	—
1591	C₂²	—	4	1	no	—
1592	C₂²	—	4	1	no	—
1593	C₂²	—	4	1	no	—
1594	C₂²	C₄₁×#577	1	2	yes	—
1595	C₂²	C₂³×D₄×C₄₁	1	1	yes	characteristic
1596	C₄	—	2	1	no	—
1597	C₄	—	2	1	no	—
1598	C₄	—	2	1	no	—
1599	C₄	—	2	1	no	—
1600	C₄	—	2	1	no	—
1601	C₄	—	2	1	no	—
1602	C₄	—	2	1	no	—
1603	C₄	—	2	1	no	—
1604	C₄	—	2	1	no	—
1605	C₄	—	2	1	no	—
1606	C₄	—	2	1	no	—
1607	C₄	—	2	2	no	—
1608	C₄	—	4	1	no	—
1609	C₄	—	4	1	no	—
1610	C₄	—	4	1	no	—
1611	C₄	—	4	1	no	—
1612	C₄	—	4	1	no	—
1613	C₄	—	4	1	no	—
1614	C₄	—	4	1	no	—
1615	C₄	—	4	1	no	—
1616	C₄	—	4	1	no	—
1617	C₄	—	4	1	no	—
1618	C₄	—	4	1	no	—
1619	C₄	—	4	1	no	—
1620	C₄	—	4	1	no	—
1621	C₄	C₂×2₋¹⁺⁴×C₄₁	1	1	yes	characteristic
1622	C₄	C₄₁×#585	1	1	yes	characteristic
1623	C₂	—	2	2	no	—
1624	C₂	—	4	1	no	—
1625	C₂	—	4	1	no	—
1626	C₂	—	8	1	no	—
1627	C₂	—	8	1	no	—
1628	C₂	C₄₁×#3489	1	1	yes	characteristic
1629	C₂	C₂×C₄₁×#577	1	1	yes	characteristic
1630	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×#3544	C₂	semidirect
2. C₄₁×#3516	C₂	semidirect
3. C₄₁×#3388	C₂	semidirect
4. C₄₁×#3387	C₂	semidirect
5. C₄₁×#3376	C₂	semidirect
6. C₄₁×#3369	C₂	semidirect
7. C₄₁×#3348	C₂	semidirect
8. C₄₁×#3345	C₂	semidirect
9. C₄₁×#3344	C₂	semidirect
10. C₄₁×#3344	C₂	semidirect
11. C₄₁×#3337	C₂	semidirect
12. C₄₁×#3335	C₂	semidirect
13. C₄₁×#3321	C₂	semidirect
14. C₄₁×#3316	C₂	semidirect
15. C₄₁×#3312	C₂	semidirect
16. C₄₁×#3308	C₂	semidirect
17. C₄₁×#3300	C₂	semidirect
18. C₄₁×#3298	C₂	semidirect
19. C₄₁×#3263	C₂	semidirect
20. C₄₁×#3258	C₂	semidirect
21. C₄₁×#3250	C₂	semidirect
22. C₄₁×#3244	C₂	semidirect
23. C₄₁×#3242	C₂	semidirect
24. C₄₁×#3238	C₂	semidirect
25. C₄₁×#3125	C₂	semidirect
26. C₄₁×#3121	C₂	semidirect
27. C₄₁×#3117	C₂	semidirect
28. C₄₁×#3084	C₂	semidirect
29. C₄₁×#3082	C₂	semidirect
30. C₂×C₄₁×#475	C₂	semidirect
31. C₄₁×#2992	C₂	semidirect
764. #62157	C₄₁	direct (N × H)
808. #3544	C₂×C₄₁	semidirect
809. #3516	C₂×C₄₁	semidirect
810. #3388	C₂×C₄₁	semidirect
811. #3387	C₂×C₄₁	semidirect
812. #3376	C₂×C₄₁	semidirect
813. #3369	C₂×C₄₁	semidirect
814. #3348	C₂×C₄₁	semidirect
815. #3345	C₂×C₄₁	semidirect
816. #3344	C₂×C₄₁	semidirect
817. #3344	C₂×C₄₁	semidirect
818. #3337	C₂×C₄₁	semidirect
819. #3335	C₂×C₄₁	semidirect
820. #3321	C₂×C₄₁	semidirect
821. #3316	C₂×C₄₁	semidirect
822. #3312	C₂×C₄₁	semidirect
823. #3308	C₂×C₄₁	semidirect
824. #3300	C₂×C₄₁	semidirect
825. #3298	C₂×C₄₁	semidirect
826. #3263	C₂×C₄₁	semidirect
827. #3258	C₂×C₄₁	semidirect
828. #3250	C₂×C₄₁	semidirect
829. #3244	C₂×C₄₁	semidirect
830. #3242	C₂×C₄₁	semidirect
831. #3238	C₂×C₄₁	semidirect
832. #3125	C₂×C₄₁	semidirect
833. #3121	C₂×C₄₁	semidirect
834. #3117	C₂×C₄₁	semidirect
835. #3084	C₂×C₄₁	semidirect
836. #3082	C₂×C₄₁	semidirect
837. C₂×#475	C₂×C₄₁	semidirect
838. #2992	C₂×C₄₁	semidirect
1018. C₄₁	#62157	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×#3544	2
C₄₁×#3516	2
C₄₁×#3388	2
C₄₁×#3387	2
C₄₁×#3376	2
C₄₁×#3369	2
C₄₁×#3348	2
C₄₁×#3345	2
C₄₁×#3344	2
C₄₁×#3337	2
C₄₁×#3335	2
C₄₁×#3321	2
C₄₁×#3316	2
C₄₁×#3312	2
C₄₁×#3308	2
C₄₁×#3300	2
C₄₁×#3298	2
C₄₁×#3263	2
C₄₁×#3258	2
C₄₁×#3250	2
C₄₁×#3244	2
C₄₁×#3242	2
C₄₁×#3238	2
C₄₁×#3125	2
C₄₁×#3121	2
C₄₁×#3117	2
C₄₁×#3084	2
C₄₁×#3082	2
C₂×C₄₁×#475	2
C₄₁×#2992	2
#62157	41

Subgroups — C41×#62157 #23838358

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₄₁×#62157 #23838358