Subgroups — C₄₁×#61528 #23837729

Order 10496.

1780 conjugacy classes of subgroups.

The subgroup lattice has 1680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₄₁×#3521	C₂	1	1	yes	maximal, characteristic, complemented
2	C₄₁×#3518	C₂	1	1	yes	maximal, characteristic, complemented
3	C₄₁×#3402	C₂	1	1	yes	maximal, characteristic, complemented
4	C₄₁×#3385	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×#3350	C₂	1	1	yes	maximal, characteristic, complemented
8	C₄₁×#3348	C₂	1	1	yes	maximal, characteristic, complemented
9	C₄₁×#3342	C₂	1	1	yes	maximal, characteristic, complemented
10	C₄₁×#3319	C₂	1	1	yes	maximal, characteristic, complemented
11	C₄₁×#3313	C₂	1	1	yes	maximal, characteristic, complemented
12	C₄₁×#3312	C₂	1	1	yes	maximal, characteristic, complemented
13	C₄₁×#3311	C₂	1	1	yes	maximal, characteristic, complemented
14	C₄₁×#3302	C₂	1	1	yes	maximal, characteristic, complemented
15	C₄₁×#3301	C₂	1	1	yes	maximal, characteristic, complemented
16	C₄₁×#3282	C₂	1	1	yes	maximal, characteristic, complemented
17	C₄₁×#3269	C₂	1	1	yes	maximal, characteristic, complemented
18	C₄₁×#3266	C₂	1	1	yes	maximal, characteristic, complemented
19	C₄₁×#3181	C₂	1	1	yes	maximal, characteristic, complemented
20	C₄₁×#3178	C₂	1	1	yes	maximal, characteristic, complemented
21	C₄₁×#3175	C₂	1	1	yes	maximal, characteristic, complemented
22	C₄₁×#3127	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄₁×#3125	C₂	1	1	yes	maximal, characteristic, complemented
24	C₄₁×#3121	C₂	1	1	yes	maximal, characteristic, complemented
25	C₄₁×#3118	C₂	1	1	yes	maximal, characteristic, complemented
26	C₄₁×#3107	C₂	1	1	yes	maximal, characteristic, complemented
27	C₄₁×#3102	C₂	1	1	yes	maximal, characteristic, complemented
28	C₄₁×#2968	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄₁×#2949	C₂	1	1	yes	maximal, characteristic, complemented
30	C₄₁×#2947	C₂	1	1	yes	maximal, characteristic, complemented
31	C₄₁×#2943	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#137×C₄₁	C₂²	1	1	yes	characteristic
33	C₂×#135×C₄₁	C₂²	1	1	yes	characteristic
34	C₂²×SD₁₆×C₄₁	C₂²	1	1	yes	characteristic
35	Q₈²×C₄₁	C₂²	1	1	yes	characteristic, complemented
36	C₄₁×#556	—	2	1	no	—
37	C₄₁×#556	—	2	1	no	—
38	C₄₁×#556	—	2	1	no	—
39	C₄₁×#556	C₂²	1	1	yes	characteristic
40	C₄₁×#556	C₂²	1	1	yes	characteristic
41	C₄₁×#556	C₂²	1	1	yes	characteristic
42	C₄₁×#556	C₂²	1	1	yes	characteristic, complemented
43	C₄₁×#556	C₂²	1	1	yes	characteristic, complemented
44	C₄₁×#555	—	2	1	no	—
45	C₄₁×#555	C₂²	1	1	yes	characteristic
46	C₄₁×#554	C₂²	1	1	yes	characteristic
47	C₄₁×#553	—	2	1	no	—
48	C₄₁×#553	C₂²	1	1	yes	characteristic
49	C₄₁×#552	—	2	1	no	—
50	C₄₁×#552	C₂²	1	1	yes	characteristic
51	C₄₁×#551	—	2	1	no	—
52	C₄₁×#551	—	2	1	no	—
53	D₄×Q₈×C₄₁	C₂²	1	1	yes	characteristic
54	C₄₁×#548	C₂²	1	1	yes	characteristic
55	C₄₁×#548	C₂²	1	1	yes	characteristic, complemented
56	C₄₁×#547	C₂²	1	1	yes	characteristic
57	C₄₁×#546	C₂²	1	1	yes	characteristic
58	C₄₁×#546	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, complemented
64	C₄₁×#541	C₂²	1	1	yes	characteristic
65	C₄₁×#539	—	2	1	no	—
66	C₄₁×#538	—	2	1	no	—
67	C₄₁×#533	—	2	1	no	—
68	C₄₁×#533	C₂²	1	1	yes	characteristic, complemented
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	C₂×#126×C₄₁	—	2	1	no	—
74	C₄₁×#520	C₂²	1	1	yes	characteristic
75	C₄₁×#519	C₂²	1	1	yes	characteristic
76	C₄₁×#519	C₂²	1	1	yes	characteristic, complemented
77	C₄₁×#518	C₂²	1	1	yes	characteristic
78	C₄×#41×C₄₁	C₂²	1	1	yes	characteristic
79	C₄×#41×C₄₁	C₂²	1	1	yes	characteristic, complemented
80	C₄₁×#501	C₂²	1	1	yes	characteristic, complemented
81	C₄₁×#501	C₂²	1	1	yes	characteristic, complemented
82	C₄₁×#500	C₂²	1	1	yes	characteristic, complemented
83	C₄₁×#497	C₂²	1	1	yes	characteristic
84	C₄₁×#497	C₂²	1	1	yes	characteristic, complemented
85	C₄₁×#495	C₂²	1	1	yes	characteristic
86	C₄₁×#491	C₂²	1	1	yes	characteristic, complemented
87	C₄₁×#489	C₂²	1	1	yes	characteristic
88	C₄₁×#489	C₂²	1	1	yes	characteristic
89	C₄₁×#489	C₂²	1	1	yes	characteristic, complemented
90	C₄₁×#488	C₂²	1	1	yes	characteristic, complemented
91	C₄₁×#487	C₂²	1	1	yes	characteristic, complemented
92	C₄₁×#485	C₂²	1	1	yes	characteristic
93	C₄₁×#485	C₂²	1	1	yes	characteristic
94	C₄₁×#485	C₂²	1	1	yes	characteristic
95	C₄₁×#485	C₂²	1	1	yes	characteristic, complemented
96	C₄₁×#485	C₂²	1	1	yes	characteristic, complemented
97	C₄₁×#485	C₂²	1	1	yes	characteristic, complemented
98	C₄₁×#485	C₂²	1	1	yes	characteristic, complemented
99	C₄₁×#483	C₂²	1	1	yes	characteristic, complemented
100	C₄₁×#482	C₂²	1	1	yes	characteristic
101	C₄₁×#482	C₂²	1	1	yes	characteristic
102	C₄₁×#482	C₂²	1	1	yes	characteristic
103	C₄₁×#481	C₂²	1	1	yes	characteristic, complemented
104	C₄₁×#479	C₂²	1	1	yes	characteristic, complemented
105	C₄₁×#479	C₂²	1	1	yes	characteristic, complemented
106	C₄₁×#479	C₂²	1	1	yes	characteristic, complemented
107	C₄₁×#478	C₂²	1	1	yes	characteristic, complemented
108	C₄₁×#477	C₂²	1	1	yes	characteristic, complemented
109	C₄₁×#476	C₂²	1	1	yes	characteristic
110	C₄₁×#476	C₂²	1	1	yes	characteristic
111	C₄₁×#475	C₂²	1	1	yes	characteristic, complemented
112	C₄₁×#475	C₂²	1	1	yes	characteristic, complemented
113	C₄₁×#475	C₂²	1	1	yes	characteristic, complemented
114	C₄₁×#474	C₂²	1	1	yes	characteristic
115	C₄₁×#474	C₂²	1	1	yes	characteristic
116	C₄₁×#470	C₂²	1	1	yes	characteristic
117	C₄₁×#468	C₂²	1	1	yes	characteristic
118	C₄₁×#468	C₂²	1	1	yes	characteristic
119	C₄₁×#468	C₂²	1	1	yes	characteristic, complemented
120	C₄₁×#467	C₂²	1	1	yes	characteristic
121	C₄₁×#467	C₂²	1	1	yes	characteristic, complemented
122	C₄₁×#467	C₂²	1	1	yes	characteristic, complemented
123	C₄₁×#467	C₂²	1	1	yes	characteristic, complemented
124	C₄₁×#466	C₂²	1	1	yes	characteristic
125	C₄₁×#465	C₂²	1	1	yes	characteristic
126	C₄₁×#465	C₂²	1	1	yes	characteristic
127	C₄₁×#465	C₂²	1	1	yes	characteristic
128	C₄₁×#464	C₂²	1	1	yes	characteristic
129	C₄₁×#464	C₂²	1	1	yes	characteristic
130	C₄₁×#464	C₂²	1	1	yes	characteristic
131	C₄₁×#464	C₂²	1	1	yes	characteristic, complemented
132	C₄₁×#463	C₂²	1	1	yes	characteristic
133	C₄₁×#463	C₂²	1	1	yes	characteristic
134	C₄₁×#463	C₂²	1	1	yes	characteristic
135	C₄₁×#463	C₂²	1	1	yes	characteristic
136	C₄₁×#462	C₂²	1	1	yes	characteristic, complemented
137	C₄₁×#462	C₂²	1	1	yes	characteristic, complemented
138	C₄₁×#462	C₂²	1	1	yes	characteristic, complemented
139	C₄₁×#461	C₂²	1	1	yes	characteristic
140	C₄₁×#452	C₂²	1	1	yes	characteristic
141	C₄₁×#452	C₂²	1	1	yes	characteristic
142	C₄₁×#452	C₂²	1	1	yes	characteristic
143	C₄₁×#452	C₂²	1	1	yes	characteristic, complemented
144	C₄₁×#451	C₂²	1	1	yes	characteristic
145	C₄₁×#451	C₂²	1	1	yes	characteristic
146	C₄₁×#451	C₂²	1	1	yes	characteristic, complemented
147	C₄₁×#450	C₂²	1	1	yes	characteristic
148	C₄₁×#449	C₂²	1	1	yes	characteristic
149	C₄₁×#449	C₂²	1	1	yes	characteristic
150	C₄₁×#448	C₂²	1	1	yes	characteristic
151	C₄₁×#447	C₂²	1	1	yes	characteristic
152	C₄₁×#446	C₂²	1	1	yes	characteristic, complemented
153	C₄₁×#446	C₂²	1	1	yes	characteristic, complemented
154	C₄₁×#442	C₂²	1	1	yes	characteristic
155	C₄₁×#442	C₂²	1	1	yes	characteristic
156	C₄₁×#441	C₂²	1	1	yes	characteristic, complemented
157	C₄₁×#441	C₂²	1	1	yes	characteristic, complemented
158	C₄₁×#441	C₂²	1	1	yes	characteristic, complemented
159	C₄₁×#441	C₂²	1	1	yes	characteristic, complemented
160	C₄₁×#441	C₂²	1	1	yes	characteristic, complemented
161	C₄₁×#440	C₂²	1	1	yes	characteristic
162	C₄₁×#440	C₂²	1	1	yes	characteristic
163	C₄₁×#440	C₂²	1	1	yes	characteristic
164	C₄₁×#440	C₂²	1	1	yes	characteristic
165	C₄₁×#440	C₂²	1	1	yes	characteristic
166	C₄₁×#440	C₂²	1	1	yes	characteristic
167	C₄₁×#440	C₂²	1	1	yes	characteristic
168	C₄₁×#440	C₂²	1	1	yes	characteristic, complemented
169	C₄₁×#440	C₂²	1	1	yes	characteristic, complemented
170	C₄×Q₁₆×C₄₁	C₂²	1	1	yes	characteristic, complemented
171	C₄×Q₁₆×C₄₁	C₂²	1	1	yes	characteristic, complemented
172	C₄×Q₁₆×C₄₁	C₂²	1	1	yes	characteristic, complemented
173	C₄×Q₁₆×C₄₁	C₂²	1	1	yes	characteristic, complemented
174	C₄×SD₁₆×C₄₁	C₂²	1	1	yes	characteristic
175	C₄×SD₁₆×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	C₄×SD₁₆×C₄₁	C₂²	1	1	yes	characteristic
180	C₄×SD₁₆×C₄₁	C₂²	1	1	yes	characteristic, complemented
181	C₄×D₈×C₄₁	C₂²	1	1	yes	characteristic
182	C₄₁×#435	C₂²	1	1	yes	characteristic
183	C₄₁×#435	C₂²	1	1	yes	characteristic
184	C₄₁×#435	C₂²	1	1	yes	characteristic
185	C₄₁×#435	C₂²	1	1	yes	characteristic, complemented
186	C₈×D₄×C₄₁	C₂²	1	1	yes	characteristic
187	C₈×D₄×C₄₁	C₂²	1	1	yes	characteristic, complemented
188	C₄₁×#433	C₂²	1	1	yes	characteristic
189	C₄₁×#433	C₂²	1	1	yes	characteristic, complemented
190	C₄₁×#431	C₂²	1	1	yes	characteristic, complemented
191	C₄₁×#428	C₂²	1	1	yes	characteristic, complemented
192	C₄₁×#427	C₂²	1	1	yes	characteristic
193	C₄₁×#427	C₂²	1	1	yes	characteristic, complemented
194	C₄₁×#419	C₂²	1	1	yes	characteristic
195	C₄₁×#418	C₂²	1	1	yes	characteristic
196	C₄₁×#416	C₂²	1	1	yes	characteristic
197	C₄₁×#416	C₂²	1	1	yes	characteristic
198	C₄₁×#416	C₂²	1	1	yes	characteristic, complemented
199	C₂×#103×C₄₁	C₂²	1	1	yes	characteristic, complemented
200	C₄₁×#405	C₂²	1	1	yes	characteristic
201	C₄₁×#405	C₂²	1	1	yes	characteristic, complemented
202	C₂×#97×C₄₁	C₂²	1	1	yes	characteristic, complemented
203	C₂×#41×C₄₁	C₂³	1	1	yes	characteristic
204	C₂×#41×C₄₁	C₂³	1	1	yes	characteristic
205	C₂×#41×C₄₁	C₂³	1	1	yes	characteristic
206	C₂²×Q₈×C₄₁	C₂³	1	1	yes	characteristic
207	C₂²×Q₈×C₄₁	C₂³	1	1	yes	characteristic
208	C₂²×D₄×C₄₁	C₂³	1	1	yes	characteristic
209	#137×C₄₁	—	2	4	no	—
210	#135×C₄₁	—	2	4	no	—
211	C₂×Q₁₆×C₄₁	C₂³	1	1	yes	characteristic
212	C₂×Q₁₆×C₄₁	C₂³	1	1	yes	characteristic
213	C₂×Q₁₆×C₄₁	C₂³	1	1	yes	characteristic
214	C₂×Q₁₆×C₄₁	C₂³	1	1	yes	characteristic
215	C₂×Q₁₆×C₄₁	C₂³	1	1	yes	characteristic
216	C₂×Q₁₆×C₄₁	C₂³	1	1	yes	characteristic
217	C₂×SD₁₆×C₄₁	—	2	4	no	—
218	C₂×SD₁₆×C₄₁	C₂³	1	1	yes	characteristic
219	C₂×SD₁₆×C₄₁	C₂³	1	1	yes	characteristic
220	C₂×SD₁₆×C₄₁	C₂³	1	1	yes	characteristic
221	C₂×SD₁₆×C₄₁	C₂³	1	1	yes	characteristic
222	C₂×SD₁₆×C₄₁	C₂³	1	1	yes	characteristic
223	C₂×SD₁₆×C₄₁	C₂³	1	1	yes	characteristic
224	C₂×SD₁₆×C₄₁	C₂³	1	1	yes	characteristic
225	C₂×SD₁₆×C₄₁	C₂³	1	1	yes	characteristic
226	C₂×D₈×C₄₁	C₂³	1	1	yes	characteristic
227	C₂×D₈×C₄₁	C₂³	1	1	yes	characteristic
228	C₂×M₁₆×C₄₁	C₂³	1	1	yes	characteristic
229	C₂×M₁₆×C₄₁	C₂³	1	1	yes	characteristic
230	C₂²×C₈×C₄₁	C₂³	1	1	yes	characteristic
231	C₂²×C₈×C₄₁	C₂³	1	1	yes	characteristic
232	C₂²×C₈×C₄₁	C₂³	1	1	yes	characteristic
233	C₂²×C₈×C₄₁	C₂³	1	1	yes	characteristic
234	C₄⋊Q₈×C₄₁	—	2	1	no	—
235	C₄⋊Q₈×C₄₁	—	2	1	no	—
236	C₄⋊Q₈×C₄₁	—	2	1	no	—
237	C₄⋊Q₈×C₄₁	—	2	1	no	—
238	C₄⋊Q₈×C₄₁	C₂³	1	1	yes	characteristic
239	C₄⋊Q₈×C₄₁	C₂³	1	1	yes	characteristic
240	C₄⋊Q₈×C₄₁	C₂³	1	1	yes	characteristic
241	C₄⋊Q₈×C₄₁	C₂³	1	1	yes	characteristic
242	C₄⋊Q₈×C₄₁	C₂³	1	1	yes	characteristic
243	C₄⋊Q₈×C₄₁	C₂³	1	1	yes	characteristic
244	#126×C₄₁	—	2	1	no	—
245	#126×C₄₁	—	2	1	no	—
246	#126×C₄₁	—	2	1	no	—
247	#126×C₄₁	—	2	1	no	—
248	#126×C₄₁	—	2	1	no	—
249	#126×C₄₁	—	2	1	no	—
250	#126×C₄₁	—	2	1	no	—
251	#126×C₄₁	—	2	1	no	—
252	#126×C₄₁	—	2	1	no	—
253	#126×C₄₁	—	2	1	no	—
254	#126×C₄₁	—	2	1	no	—
255	#126×C₄₁	—	2	1	no	—
256	#126×C₄₁	—	2	1	no	—
257	#126×C₄₁	—	2	1	no	—
258	#126×C₄₁	—	2	1	no	—
259	#126×C₄₁	—	2	1	no	—
260	#126×C₄₁	—	2	1	no	—
261	#126×C₄₁	—	2	1	no	—
262	#126×C₄₁	D₄	1	1	yes	characteristic
263	#126×C₄₁	D₄	1	1	yes	characteristic
264	#125×C₄₁	—	2	1	no	—
265	#125×C₄₁	—	2	1	no	—
266	#125×C₄₁	—	2	1	no	—
267	#125×C₄₁	—	2	1	no	—
268	#125×C₄₁	D₄	1	1	yes	characteristic
269	#125×C₄₁	C₂³	1	1	yes	characteristic
270	#125×C₄₁	C₂³	1	1	yes	characteristic
271	#124×C₄₁	—	2	1	no	—
272	#124×C₄₁	—	2	1	no	—
273	#124×C₄₁	—	2	1	no	—
274	#124×C₄₁	—	2	1	no	—
275	#124×C₄₁	—	2	1	no	—
276	#124×C₄₁	—	2	1	no	—
277	#124×C₄₁	—	2	1	no	—
278	#124×C₄₁	—	2	1	no	—
279	#124×C₄₁	—	2	1	no	—
280	#124×C₄₁	—	2	1	no	—
281	#124×C₄₁	D₄	1	1	yes	characteristic
282	#124×C₄₁	C₂³	1	1	yes	characteristic
283	#124×C₄₁	C₂³	1	1	yes	characteristic
284	#124×C₄₁	C₂³	1	1	yes	characteristic
285	#124×C₄₁	C₂³	1	1	yes	characteristic
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	D₄	1	1	yes	characteristic
312	C₂²⋊Q₈×C₄₁	C₂³	1	1	yes	characteristic
313	C₂²⋊Q₈×C₄₁	C₂³	1	1	yes	characteristic
314	C₂²⋊Q₈×C₄₁	C₂³	1	1	yes	characteristic
315	C₂²⋊Q₈×C₄₁	C₂³	1	1	yes	characteristic
316	C₂²⋊Q₈×C₄₁	C₂³	1	1	yes	characteristic
317	C₂²⋊Q₈×C₄₁	C₂³	1	1	yes	characteristic
318	C₂²⋊Q₈×C₄₁	C₂³	1	1	yes	characteristic
319	C₂²⋊Q₈×C₄₁	C₂³	1	1	yes	characteristic
320	#121×C₄₁	—	2	1	no	—
321	#121×C₄₁	—	2	1	no	—
322	#121×C₄₁	—	2	1	no	—
323	#121×C₄₁	—	2	1	no	—
324	#121×C₄₁	—	2	1	no	—
325	#121×C₄₁	—	2	1	no	—
326	#121×C₄₁	—	2	1	no	—
327	#121×C₄₁	D₄	1	1	yes	characteristic
328	#121×C₄₁	C₂³	1	1	yes	characteristic
329	#121×C₄₁	C₂³	1	1	yes	characteristic
330	#121×C₄₁	C₂³	1	1	yes	characteristic
331	#121×C₄₁	C₂³	1	1	yes	characteristic
332	#120×C₄₁	—	2	1	no	—
333	#120×C₄₁	—	2	1	no	—
334	C₄×Q₈×C₄₁	—	2	1	no	—
335	C₄×Q₈×C₄₁	—	2	1	no	—
336	C₄×Q₈×C₄₁	—	2	1	no	—
337	C₄×Q₈×C₄₁	—	2	1	no	—
338	C₄×Q₈×C₄₁	—	2	1	no	—
339	C₄×Q₈×C₄₁	—	2	1	no	—
340	C₄×Q₈×C₄₁	—	2	1	no	—
341	C₄×Q₈×C₄₁	—	2	1	no	—
342	C₄×Q₈×C₄₁	—	2	1	no	—
343	C₄×Q₈×C₄₁	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×Q₈×C₄₁	C₂³	1	1	yes	characteristic
356	C₄×D₄×C₄₁	—	2	1	no	—
357	C₄×D₄×C₄₁	—	2	1	no	—
358	C₄×D₄×C₄₁	—	2	1	no	—
359	C₄×D₄×C₄₁	—	2	1	no	—
360	C₄×D₄×C₄₁	—	2	1	no	—
361	C₄×D₄×C₄₁	—	2	1	no	—
362	C₄×D₄×C₄₁	—	2	1	no	—
363	C₄×D₄×C₄₁	—	2	1	no	—
364	C₄×D₄×C₄₁	—	2	1	no	—
365	C₄×D₄×C₄₁	—	2	1	no	—
366	C₄×D₄×C₄₁	—	2	1	no	—
367	C₄×D₄×C₄₁	—	2	1	no	—
368	C₄×D₄×C₄₁	—	2	1	no	—
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	C₄×D₄×C₄₁	C₂³	1	1	yes	characteristic
374	C₄×D₄×C₄₁	C₂³	1	1	yes	characteristic
375	C₄×D₄×C₄₁	C₂³	1	1	yes	characteristic
376	C₄×D₄×C₄₁	C₂³	1	1	yes	characteristic
377	C₄×D₄×C₄₁	C₂³	1	1	yes	characteristic
378	C₄×D₄×C₄₁	C₂³	1	1	yes	characteristic
379	C₄×D₄×C₄₁	C₂³	1	1	yes	characteristic
380	#117×C₄₁	—	2	1	no	—
381	#117×C₄₁	—	2	1	no	—
382	#117×C₄₁	—	2	1	no	—
383	#117×C₄₁	—	2	1	no	—
384	#117×C₄₁	—	2	1	no	—
385	#117×C₄₁	—	2	1	no	—
386	#117×C₄₁	—	2	1	no	—
387	#117×C₄₁	—	2	1	no	—
388	#117×C₄₁	—	2	1	no	—
389	#117×C₄₁	—	2	1	no	—
390	#117×C₄₁	—	2	1	no	—
391	#117×C₄₁	—	2	1	no	—
392	#117×C₄₁	—	2	1	no	—
393	#117×C₄₁	C₂³	1	1	yes	characteristic
394	#117×C₄₁	C₂³	1	1	yes	characteristic
395	#117×C₄₁	C₂³	1	1	yes	characteristic
396	#117×C₄₁	C₂³	1	1	yes	characteristic
397	#117×C₄₁	C₂³	1	1	yes	characteristic
398	#117×C₄₁	C₂³	1	1	yes	characteristic
399	#117×C₄₁	C₂³	1	1	yes	characteristic
400	C₂×C₄⋊C₄×C₄₁	—	2	1	no	—
401	C₂×C₄⋊C₄×C₄₁	—	2	1	no	—
402	C₂×C₄⋊C₄×C₄₁	—	2	1	no	—
403	C₂×C₄⋊C₄×C₄₁	C₂³	1	1	yes	characteristic
404	C₂×C₂²⋊C₄×C₄₁	—	2	1	no	—
405	C₂×C₂²⋊C₄×C₄₁	—	2	1	no	—
406	C₂×C₂²⋊C₄×C₄₁	—	2	1	no	—
407	C₂×C₂²⋊C₄×C₄₁	—	2	1	no	—
408	C₂×C₄²×C₄₁	—	2	1	no	—
409	C₂×C₄²×C₄₁	—	2	1	no	—
410	C₂×C₄²×C₄₁	C₂³	1	1	yes	characteristic
411	#107×C₄₁	C₂³	1	1	yes	characteristic
412	#107×C₄₁	C₂³	1	1	yes	characteristic
413	#107×C₄₁	C₂³	1	1	yes	characteristic
414	#107×C₄₁	C₂³	1	1	yes	characteristic
415	#107×C₄₁	C₂³	1	1	yes	characteristic
416	#107×C₄₁	C₂³	1	1	yes	characteristic
417	#107×C₄₁	C₂³	1	1	yes	characteristic
418	#107×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	#106×C₄₁	C₂³	1	1	yes	characteristic
425	#106×C₄₁	C₂³	1	1	yes	characteristic
426	#106×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	#103×C₄₁	C₂³	1	1	yes	characteristic
434	#103×C₄₁	C₂³	1	1	yes	characteristic
435	#103×C₄₁	C₂³	1	1	yes	characteristic
436	#103×C₄₁	C₂³	1	1	yes	characteristic
437	#103×C₄₁	C₂³	1	1	yes	characteristic
438	#103×C₄₁	C₂³	1	1	yes	characteristic
439	#103×C₄₁	C₂³	1	1	yes	characteristic
440	#103×C₄₁	C₂³	1	1	yes	characteristic
441	#103×C₄₁	C₂³	1	1	yes	characteristic
442	#103×C₄₁	C₂³	1	1	yes	characteristic
443	#103×C₄₁	C₂³	1	1	yes	characteristic
444	#103×C₄₁	C₂³	1	1	yes	characteristic
445	#103×C₄₁	C₂³	1	1	yes	characteristic
446	#103×C₄₁	C₂³	1	1	yes	characteristic
447	#103×C₄₁	C₂³	1	1	yes	characteristic
448	#103×C₄₁	C₂³	1	1	yes	characteristic
449	#103×C₄₁	C₂³	1	1	yes	characteristic
450	#103×C₄₁	C₂³	1	1	yes	characteristic
451	#103×C₄₁	C₂³	1	1	yes	characteristic
452	#103×C₄₁	C₂³	1	1	yes	characteristic
453	#102×C₄₁	C₂³	1	1	yes	characteristic
454	#102×C₄₁	C₂³	1	1	yes	characteristic
455	#102×C₄₁	C₂³	1	1	yes	characteristic
456	#102×C₄₁	C₂³	1	1	yes	characteristic
457	#102×C₄₁	C₂³	1	1	yes	characteristic
458	#102×C₄₁	C₂³	1	1	yes	characteristic
459	#102×C₄₁	C₂³	1	1	yes	characteristic
460	#102×C₄₁	C₂³	1	1	yes	characteristic
461	#102×C₄₁	C₂³	1	1	yes	characteristic
462	#102×C₄₁	C₂³	1	1	yes	characteristic
463	#102×C₄₁	C₂³	1	1	yes	characteristic
464	#102×C₄₁	C₂³	1	1	yes	characteristic
465	C₂²⋊C₈×C₄₁	C₂³	1	1	yes	characteristic
466	C₂²⋊C₈×C₄₁	C₂³	1	1	yes	characteristic
467	C₂²⋊C₈×C₄₁	C₂³	1	1	yes	characteristic
468	C₂²⋊C₈×C₄₁	C₂³	1	1	yes	characteristic
469	C₂²⋊C₈×C₄₁	C₂³	1	1	yes	characteristic
470	C₂²⋊C₈×C₄₁	C₂³	1	1	yes	characteristic
471	#97×C₄₁	C₂³	1	1	yes	characteristic
472	#97×C₄₁	C₂³	1	1	yes	characteristic
473	#97×C₄₁	C₂³	1	1	yes	characteristic
474	#97×C₄₁	C₂³	1	1	yes	characteristic
475	#97×C₄₁	C₂³	1	1	yes	characteristic
476	#97×C₄₁	C₂³	1	1	yes	characteristic
477	C₄×C₈×C₄₁	C₂³	1	1	yes	characteristic
478	C₄×C₈×C₄₁	C₂³	1	1	yes	characteristic
479	C₄×C₈×C₄₁	C₂³	1	1	yes	characteristic
480	C₄×C₈×C₄₁	C₂³	1	1	yes	characteristic
481	C₂⁴×C₄₁	—	2	1	no	—
482	#41×C₄₁	—	2	2	no	—
483	#41×C₄₁	—	2	2	no	—
484	#41×C₄₁	—	2	2	no	—
485	#41×C₄₁	—	4	1	no	—
486	#41×C₄₁	—	4	1	no	—
487	#41×C₄₁	—	4	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	1	no	—
492	C₂×Q₈×C₄₁	—	2	1	no	—
493	C₂×Q₈×C₄₁	—	2	1	no	—
494	C₂×Q₈×C₄₁	—	2	2	no	—
495	C₂×Q₈×C₄₁	—	2	2	no	—
496	C₂×Q₈×C₄₁	—	4	1	no	—
497	C₂×Q₈×C₄₁	—	4	1	no	—
498	C₂×Q₈×C₄₁	C₂×D₄	1	1	yes	characteristic
499	C₂×Q₈×C₄₁	C₂⁴	1	1	yes	characteristic
500	C₂×Q₈×C₄₁	C₂⁴	1	1	yes	characteristic
501	C₂×Q₈×C₄₁	C₂⁴	1	1	yes	characteristic
502	C₂×Q₈×C₄₁	C₂⁴	1	1	yes	characteristic
503	C₂×Q₈×C₄₁	C₂⁴	1	1	yes	characteristic
504	C₂×D₄×C₄₁	—	2	2	no	—
505	C₂×D₄×C₄₁	—	2	1	no	—
506	C₂×D₄×C₄₁	—	2	1	no	—
507	C₂×D₄×C₄₁	—	2	1	no	—
508	C₂×D₄×C₄₁	—	2	1	no	—
509	C₂×D₄×C₄₁	—	2	1	no	—
510	C₂×D₄×C₄₁	—	2	1	no	—
511	C₂×D₄×C₄₁	—	2	1	no	—
512	C₂×D₄×C₄₁	—	2	1	no	—
513	C₂×D₄×C₄₁	—	4	1	no	—
514	C₂×D₄×C₄₁	C₂×D₄	1	1	yes	characteristic
515	C₂×D₄×C₄₁	C₂×D₄	1	1	yes	characteristic
516	C₂×D₄×C₄₁	C₂×D₄	1	1	yes	characteristic
517	C₂×D₄×C₄₁	C₂⁴	1	1	yes	characteristic
518	C₂×D₄×C₄₁	C₂⁴	1	1	yes	characteristic
519	C₂×D₄×C₄₁	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
527	C₂²×C₄×C₄₁	—	2	1	no	—
528	C₂²×C₄×C₄₁	—	2	1	no	—
529	C₂²×C₄×C₄₁	—	2	1	no	—
530	C₂²×C₄×C₄₁	—	2	1	no	—
531	C₂²×C₄×C₄₁	—	2	1	no	—
532	C₂²×C₄×C₄₁	—	2	1	no	—
533	C₂²×C₄×C₄₁	—	2	1	no	—
534	C₂²×C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
535	C₂²×C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
536	C₂²×C₄×C₄₁	C₂⁴	1	1	yes	characteristic
537	C₂²×C₄×C₄₁	C₂⁴	1	1	yes	characteristic
538	C₂²×C₄×C₄₁	C₂⁴	1	1	yes	characteristic
539	Q₁₆×C₄₁	—	2	2	no	—
540	Q₁₆×C₄₁	—	2	2	no	—
541	Q₁₆×C₄₁	—	2	2	no	—
542	Q₁₆×C₄₁	—	4	1	no	—
543	Q₁₆×C₄₁	—	4	1	no	—
544	Q₁₆×C₄₁	—	4	1	no	—
545	SD₁₆×C₄₁	—	2	2	no	—
546	SD₁₆×C₄₁	—	2	2	no	—
547	SD₁₆×C₄₁	—	2	2	no	—
548	SD₁₆×C₄₁	—	2	2	no	—
549	SD₁₆×C₄₁	—	2	2	no	—
550	SD₁₆×C₄₁	—	4	1	no	—
551	SD₁₆×C₄₁	—	4	1	no	—
552	SD₁₆×C₄₁	#41	1	4	yes	—
553	D₈×C₄₁	—	2	2	no	—
554	D₈×C₄₁	—	4	1	no	—
555	M₁₆×C₄₁	—	2	2	no	—
556	M₁₆×C₄₁	—	4	1	no	—
557	C₂×C₈×C₄₁	—	2	2	no	—
558	C₂×C₈×C₄₁	—	2	2	no	—
559	C₂×C₈×C₄₁	—	4	1	no	—
560	C₂×C₈×C₄₁	—	4	1	no	—
561	C₂×C₈×C₄₁	C₂⁴	1	1	yes	characteristic
562	C₂×C₈×C₄₁	C₂⁴	1	1	yes	characteristic
563	C₂×C₈×C₄₁	C₂⁴	1	1	yes	characteristic
564	C₂×C₈×C₄₁	C₂⁴	1	1	yes	characteristic
565	C₂×C₈×C₄₁	C₂⁴	1	1	yes	characteristic
566	C₂×C₈×C₄₁	C₂⁴	1	1	yes	characteristic
567	C₂×C₈×C₄₁	C₂⁴	1	1	yes	characteristic
568	C₂×C₈×C₄₁	C₂⁴	1	1	yes	characteristic
569	C₄⋊C₄×C₄₁	—	2	1	no	—
570	C₄⋊C₄×C₄₁	—	2	1	no	—
571	C₄⋊C₄×C₄₁	—	2	1	no	—
572	C₄⋊C₄×C₄₁	—	2	1	no	—
573	C₄⋊C₄×C₄₁	—	2	1	no	—
574	C₄⋊C₄×C₄₁	—	2	1	no	—
575	C₄⋊C₄×C₄₁	—	2	1	no	—
576	C₄⋊C₄×C₄₁	—	2	1	no	—
577	C₄⋊C₄×C₄₁	—	2	1	no	—
578	C₄⋊C₄×C₄₁	—	2	1	no	—
579	C₄⋊C₄×C₄₁	—	2	1	no	—
580	C₄⋊C₄×C₄₁	—	2	1	no	—
581	C₄⋊C₄×C₄₁	—	2	1	no	—
582	C₄⋊C₄×C₄₁	—	2	1	no	—
583	C₄⋊C₄×C₄₁	—	2	1	no	—
584	C₄⋊C₄×C₄₁	—	2	1	no	—
585	C₄⋊C₄×C₄₁	—	2	1	no	—
586	C₄⋊C₄×C₄₁	—	2	1	no	—
587	C₄⋊C₄×C₄₁	—	2	1	no	—
588	C₄⋊C₄×C₄₁	—	2	1	no	—
589	C₄⋊C₄×C₄₁	—	2	1	no	—
590	C₄⋊C₄×C₄₁	—	2	1	no	—
591	C₄⋊C₄×C₄₁	—	2	1	no	—
592	C₄⋊C₄×C₄₁	—	2	1	no	—
593	C₄⋊C₄×C₄₁	—	2	1	no	—
594	C₄⋊C₄×C₄₁	—	2	1	no	—
595	C₄⋊C₄×C₄₁	—	2	1	no	—
596	C₄⋊C₄×C₄₁	—	2	1	no	—
597	C₄⋊C₄×C₄₁	—	2	1	no	—
598	C₄⋊C₄×C₄₁	—	2	1	no	—
599	C₄⋊C₄×C₄₁	—	2	1	no	—
600	C₄⋊C₄×C₄₁	—	2	1	no	—
601	C₄⋊C₄×C₄₁	—	2	1	no	—
602	C₄⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
603	C₄⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
604	C₄⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
605	C₄⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
606	C₄⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
607	C₄⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
608	C₄⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
609	C₄⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
610	C₄⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
611	C₄⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
612	C₄⋊C₄×C₄₁	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	C₄⋊C₄×C₄₁	C₂⁴	1	1	yes	characteristic
617	C₄⋊C₄×C₄₁	C₂⁴	1	1	yes	characteristic
618	C₄⋊C₄×C₄₁	C₂⁴	1	1	yes	characteristic
619	C₄⋊C₄×C₄₁	C₂⁴	1	1	yes	characteristic
620	C₂²⋊C₄×C₄₁	—	2	1	no	—
621	C₂²⋊C₄×C₄₁	—	2	1	no	—
622	C₂²⋊C₄×C₄₁	—	2	1	no	—
623	C₂²⋊C₄×C₄₁	—	2	1	no	—
624	C₂²⋊C₄×C₄₁	—	2	1	no	—
625	C₂²⋊C₄×C₄₁	—	2	1	no	—
626	C₂²⋊C₄×C₄₁	—	2	1	no	—
627	C₂²⋊C₄×C₄₁	—	2	1	no	—
628	C₂²⋊C₄×C₄₁	—	2	1	no	—
629	C₂²⋊C₄×C₄₁	—	2	1	no	—
630	C₂²⋊C₄×C₄₁	—	2	1	no	—
631	C₂²⋊C₄×C₄₁	—	2	1	no	—
632	C₂²⋊C₄×C₄₁	—	2	1	no	—
633	C₂²⋊C₄×C₄₁	—	2	1	no	—
634	C₂²⋊C₄×C₄₁	—	2	1	no	—
635	C₂²⋊C₄×C₄₁	—	2	1	no	—
636	C₂²⋊C₄×C₄₁	—	2	1	no	—
637	C₂²⋊C₄×C₄₁	—	2	1	no	—
638	C₂²⋊C₄×C₄₁	—	2	1	no	—
639	C₂²⋊C₄×C₄₁	—	2	1	no	—
640	C₂²⋊C₄×C₄₁	—	2	1	no	—
641	C₂²⋊C₄×C₄₁	—	2	1	no	—
642	C₂²⋊C₄×C₄₁	—	2	1	no	—
643	C₂²⋊C₄×C₄₁	—	2	1	no	—
644	C₂²⋊C₄×C₄₁	—	2	1	no	—
645	C₂²⋊C₄×C₄₁	—	2	1	no	—
646	C₂²⋊C₄×C₄₁	—	2	1	no	—
647	C₂²⋊C₄×C₄₁	—	2	1	no	—
648	C₂²⋊C₄×C₄₁	—	2	1	no	—
649	C₂²⋊C₄×C₄₁	—	2	1	no	—
650	C₂²⋊C₄×C₄₁	—	2	1	no	—
651	C₂²⋊C₄×C₄₁	—	2	1	no	—
652	C₂²⋊C₄×C₄₁	—	2	1	no	—
653	C₂²⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
654	C₂²⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
655	C₂²⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
656	C₂²⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
657	C₂²⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
658	C₂²⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
659	C₂²⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
660	C₂²⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
661	C₂²⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
662	C₂²⋊C₄×C₄₁	C₂×D₄	1	1	yes	characteristic
663	C₄²×C₄₁	—	2	1	no	—
664	C₄²×C₄₁	—	2	1	no	—
665	C₄²×C₄₁	—	2	1	no	—
666	C₄²×C₄₁	—	2	1	no	—
667	C₄²×C₄₁	—	2	1	no	—
668	C₄²×C₄₁	—	2	1	no	—
669	C₄²×C₄₁	—	2	1	no	—
670	C₄²×C₄₁	—	2	1	no	—
671	C₄²×C₄₁	—	2	1	no	—
672	C₄²×C₄₁	—	2	1	no	—
673	C₄²×C₄₁	—	2	1	no	—
674	C₄²×C₄₁	—	2	1	no	—
675	C₄²×C₄₁	—	2	1	no	—
676	C₄²×C₄₁	—	2	1	no	—
677	C₄²×C₄₁	—	2	1	no	—
678	C₄²×C₄₁	—	2	1	no	—
679	C₄²×C₄₁	—	2	1	no	—
680	C₄²×C₄₁	C₂×D₄	1	1	yes	characteristic
681	C₄²×C₄₁	C₂×D₄	1	1	yes	characteristic
682	C₄²×C₄₁	C₂⁴	1	1	yes	characteristic
683	C₄²×C₄₁	C₂⁴	1	1	yes	characteristic
684	C₄²×C₄₁	C₂⁴	1	1	yes	characteristic
685	C₄²×C₄₁	C₂⁴	1	1	yes	characteristic
686	C₂³×C₄₁	—	2	1	no	—
687	C₂³×C₄₁	—	2	1	no	—
688	C₂³×C₄₁	—	2	1	no	—
689	C₂³×C₄₁	—	4	2	no	—
690	C₂³×C₄₁	—	8	1	no	—
691	C₂³×C₄₁	—	8	1	no	—
692	C₂³×C₄₁	C₂²×D₄	1	1	yes	characteristic
693	C₂³×C₄₁	C₂²×D₄	1	1	yes	characteristic
694	C₂³×C₄₁	C₂²×D₄	1	1	yes	characteristic
695	Q₈×C₄₁	—	2	1	no	—
696	Q₈×C₄₁	—	2	1	no	—
697	Q₈×C₄₁	—	2	1	no	—
698	Q₈×C₄₁	—	2	1	no	—
699	Q₈×C₄₁	—	2	1	no	—
700	Q₈×C₄₁	—	2	1	no	—
701	Q₈×C₄₁	—	2	1	no	—
702	Q₈×C₄₁	—	2	1	no	—
703	Q₈×C₄₁	—	2	1	no	—
704	Q₈×C₄₁	—	4	1	no	—
705	Q₈×C₄₁	—	4	2	no	—
706	Q₈×C₄₁	—	4	2	no	—
707	Q₈×C₄₁	—	8	1	no	—
708	Q₈×C₄₁	—	8	1	no	—
709	Q₈×C₄₁	—	8	1	no	—
710	Q₈×C₄₁	—	8	1	no	—
711	Q₈×C₄₁	C₂×#41	1	2	yes	—
712	D₄×C₄₁	—	2	1	no	—
713	D₄×C₄₁	—	2	1	no	—
714	D₄×C₄₁	—	2	1	no	—
715	D₄×C₄₁	—	2	1	no	—
716	D₄×C₄₁	—	2	1	no	—
717	D₄×C₄₁	—	4	1	no	—
718	D₄×C₄₁	—	4	1	no	—
719	D₄×C₄₁	—	4	1	no	—
720	D₄×C₄₁	—	4	2	no	—
721	D₄×C₄₁	—	4	2	no	—
722	D₄×C₄₁	—	4	2	no	—
723	D₄×C₄₁	—	4	2	no	—
724	D₄×C₄₁	—	8	1	no	—
725	D₄×C₄₁	—	8	1	no	—
726	D₄×C₄₁	—	8	1	no	—
727	D₄×C₄₁	—	8	1	no	—
728	D₄×C₄₁	C₂×#41	1	2	yes	—
729	C₂×C₄×C₄₁	—	2	1	no	—
730	C₂×C₄×C₄₁	—	2	1	no	—
731	C₂×C₄×C₄₁	—	2	1	no	—
732	C₂×C₄×C₄₁	—	2	1	no	—
733	C₂×C₄×C₄₁	—	2	1	no	—
734	C₂×C₄×C₄₁	—	2	1	no	—
735	C₂×C₄×C₄₁	—	2	1	no	—
736	C₂×C₄×C₄₁	—	2	1	no	—
737	C₂×C₄×C₄₁	—	2	1	no	—
738	C₂×C₄×C₄₁	—	2	1	no	—
739	C₂×C₄×C₄₁	—	2	1	no	—
740	C₂×C₄×C₄₁	—	2	1	no	—
741	C₂×C₄×C₄₁	—	2	1	no	—
742	C₂×C₄×C₄₁	—	2	1	no	—
743	C₂×C₄×C₄₁	—	2	1	no	—
744	C₂×C₄×C₄₁	—	2	1	no	—
745	C₂×C₄×C₄₁	—	2	1	no	—
746	C₂×C₄×C₄₁	—	2	1	no	—
747	C₂×C₄×C₄₁	—	2	1	no	—
748	C₂×C₄×C₄₁	—	4	1	no	—
749	C₂×C₄×C₄₁	—	4	1	no	—
750	C₂×C₄×C₄₁	—	4	2	no	—
751	C₂×C₄×C₄₁	—	4	2	no	—
752	C₂×C₄×C₄₁	—	4	2	no	—
753	C₂×C₄×C₄₁	—	4	2	no	—
754	C₂×C₄×C₄₁	—	4	2	no	—
755	C₂×C₄×C₄₁	—	4	2	no	—
756	C₂×C₄×C₄₁	—	8	1	no	—
757	C₂×C₄×C₄₁	—	8	1	no	—
758	C₂×C₄×C₄₁	—	8	1	no	—
759	C₂×C₄×C₄₁	—	8	1	no	—
760	C₂×C₄×C₄₁	—	8	1	no	—
761	C₂×C₄×C₄₁	—	8	1	no	—
762	C₂×C₄×C₄₁	—	8	1	no	—
763	C₂×C₄×C₄₁	—	8	1	no	—
764	C₂×C₄×C₄₁	C₂²×D₄	1	1	yes	characteristic
765	C₂×C₄×C₄₁	C₂²×D₄	1	1	yes	characteristic
766	C₂×C₄×C₄₁	C₂²×D₄	1	1	yes	characteristic
767	C₂×C₄×C₄₁	C₂²×D₄	1	1	yes	characteristic
768	C₂×C₄×C₄₁	C₂²×D₄	1	1	yes	characteristic
769	C₂×C₄×C₄₁	C₂²×D₄	1	1	yes	characteristic
770	C₂×C₄×C₄₁	C₂²×D₄	1	1	yes	characteristic
771	C₂×C₄×C₄₁	C₂²×D₄	1	1	yes	characteristic
772	C₂×C₄×C₄₁	C₂²×D₄	1	1	yes	characteristic
773	C₂×C₄×C₄₁	C₂²×D₄	1	1	yes	characteristic
774	C₂×C₄×C₄₁	C₂²×D₄	1	1	yes	characteristic
775	C₂×C₄×C₄₁	C₂⁵	1	1	yes	characteristic
776	C₈×C₄₁	—	2	1	no	—
777	C₈×C₄₁	—	2	1	no	—
778	C₈×C₄₁	—	2	1	no	—
779	C₈×C₄₁	—	2	1	no	—
780	C₈×C₄₁	—	2	1	no	—
781	C₈×C₄₁	—	2	1	no	—
782	C₈×C₄₁	—	2	1	no	—
783	C₈×C₄₁	C₂×#41	1	2	yes	—
784	#61528	C₄₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
785	C₂²×C₄₁	—	2	1	no	—
786	C₂²×C₄₁	—	2	1	no	—
787	C₂²×C₄₁	—	2	1	no	—
788	C₂²×C₄₁	—	2	1	no	—
789	C₂²×C₄₁	—	2	1	no	—
790	C₂²×C₄₁	—	2	1	no	—
791	C₂²×C₄₁	—	2	1	no	—
792	C₂²×C₄₁	—	2	1	no	—
793	C₂²×C₄₁	—	2	1	no	—
794	C₂²×C₄₁	—	2	2	no	—
795	C₂²×C₄₁	—	4	1	no	—
796	C₂²×C₄₁	—	4	1	no	—
797	C₂²×C₄₁	—	4	1	no	—
798	C₂²×C₄₁	—	4	1	no	—
799	C₂²×C₄₁	—	4	1	no	—
800	C₂²×C₄₁	—	4	1	no	—
801	C₂²×C₄₁	—	4	1	no	—
802	C₂²×C₄₁	—	4	1	no	—
803	C₂²×C₄₁	—	16	2	no	—
804	C₂²×C₄₁	C₂³×D₄	1	1	yes	characteristic
805	C₄×C₄₁	—	2	1	no	—
806	C₄×C₄₁	—	2	1	no	—
807	C₄×C₄₁	—	2	1	no	—
808	C₄×C₄₁	—	2	1	no	—
809	C₄×C₄₁	—	2	1	no	—
810	C₄×C₄₁	—	2	1	no	—
811	C₄×C₄₁	—	2	1	no	—
812	C₄×C₄₁	—	2	1	no	—
813	C₄×C₄₁	—	2	1	no	—
814	C₄×C₄₁	—	2	1	no	—
815	C₄×C₄₁	—	2	1	no	—
816	C₄×C₄₁	—	2	2	no	—
817	C₄×C₄₁	—	4	1	no	—
818	C₄×C₄₁	—	4	1	no	—
819	C₄×C₄₁	—	4	1	no	—
820	C₄×C₄₁	—	4	1	no	—
821	C₄×C₄₁	—	4	1	no	—
822	C₄×C₄₁	—	4	1	no	—
823	C₄×C₄₁	—	4	1	no	—
824	C₄×C₄₁	—	4	1	no	—
825	C₄×C₄₁	—	4	1	no	—
826	C₄×C₄₁	—	4	1	no	—
827	C₄×C₄₁	—	4	1	no	—
828	C₄×C₄₁	—	4	1	no	—
829	C₄×C₄₁	C₂²×#41	1	1	yes	characteristic
830	C₄×C₄₁	#585	1	1	yes	characteristic
831	#3521	C₂×C₄₁	1	1	yes	characteristic, complemented
832	#3518	C₂×C₄₁	1	1	yes	characteristic, complemented
833	#3402	C₂×C₄₁	1	1	yes	characteristic, complemented
834	#3385	C₂×C₄₁	1	1	yes	characteristic, complemented
835	#3376	C₂×C₄₁	1	1	yes	characteristic, complemented
836	#3369	C₂×C₄₁	1	1	yes	characteristic, complemented
837	#3350	C₂×C₄₁	1	1	yes	characteristic, complemented
838	#3348	C₂×C₄₁	1	1	yes	characteristic, complemented
839	#3342	C₂×C₄₁	1	1	yes	characteristic, complemented
840	#3319	C₂×C₄₁	1	1	yes	characteristic, complemented
841	#3313	C₂×C₄₁	1	1	yes	characteristic, complemented
842	#3312	C₂×C₄₁	1	1	yes	characteristic, complemented
843	#3311	C₂×C₄₁	1	1	yes	characteristic, complemented
844	#3302	C₂×C₄₁	1	1	yes	characteristic, complemented
845	#3301	C₂×C₄₁	1	1	yes	characteristic, complemented
846	#3282	C₂×C₄₁	1	1	yes	characteristic, complemented
847	#3269	C₂×C₄₁	1	1	yes	characteristic, complemented
848	#3266	C₂×C₄₁	1	1	yes	characteristic, complemented
849	#3181	C₂×C₄₁	1	1	yes	characteristic, complemented
850	#3178	C₂×C₄₁	1	1	yes	characteristic, complemented
851	#3175	C₂×C₄₁	1	1	yes	characteristic, complemented
852	#3127	C₂×C₄₁	1	1	yes	characteristic, complemented
853	#3125	C₂×C₄₁	1	1	yes	characteristic, complemented
854	#3121	C₂×C₄₁	1	1	yes	characteristic, complemented
855	#3118	C₂×C₄₁	1	1	yes	characteristic, complemented
856	#3107	C₂×C₄₁	1	1	yes	characteristic, complemented
857	#3102	C₂×C₄₁	1	1	yes	characteristic, complemented
858	#2968	C₂×C₄₁	1	1	yes	characteristic, complemented
859	#2949	C₂×C₄₁	1	1	yes	characteristic, complemented
860	#2947	C₂×C₄₁	1	1	yes	characteristic, complemented
861	#2943	C₂×C₄₁	1	1	yes	characteristic, complemented
862	C₂×C₄₁	—	4	1	no	—
863	C₂×C₄₁	—	4	1	no	—
864	C₂×C₄₁	—	4	1	no	—
865	C₂×C₄₁	—	4	2	no	—
866	C₂×C₄₁	—	8	1	no	—
867	C₂×C₄₁	—	8	1	no	—
868	C₂×C₄₁	D₄×#41	1	1	yes	characteristic
869	C₂×C₄₁	#3584	1	1	yes	characteristic
870	C₂×C₄₁	#3586	1	1	yes	characteristic
871	C₂×#137	C₂²×C₄₁	1	1	yes	characteristic
872	C₂×#135	C₂²×C₄₁	1	1	yes	characteristic
873	C₂²×SD₁₆	C₂²×C₄₁	1	1	yes	characteristic
874	Q₈²	C₂²×C₄₁	1	1	yes	characteristic, complemented
875	#556	—	2	1	no	—
876	#556	—	2	1	no	—
877	#556	—	2	1	no	—
878	#556	C₂²×C₄₁	1	1	yes	characteristic
879	#556	C₂²×C₄₁	1	1	yes	characteristic
880	#556	C₂²×C₄₁	1	1	yes	characteristic
881	#556	C₂²×C₄₁	1	1	yes	characteristic, complemented
882	#556	C₂²×C₄₁	1	1	yes	characteristic, complemented
883	#555	—	2	1	no	—
884	#555	C₂²×C₄₁	1	1	yes	characteristic
885	#554	C₂²×C₄₁	1	1	yes	characteristic
886	#553	—	2	1	no	—
887	#553	C₂²×C₄₁	1	1	yes	characteristic
888	#552	—	2	1	no	—
889	#552	C₂²×C₄₁	1	1	yes	characteristic
890	#551	—	2	1	no	—
891	#551	—	2	1	no	—
892	D₄×Q₈	C₂²×C₄₁	1	1	yes	characteristic
893	#548	C₂²×C₄₁	1	1	yes	characteristic
894	#548	C₂²×C₄₁	1	1	yes	characteristic, complemented
895	#547	C₂²×C₄₁	1	1	yes	characteristic
896	#546	C₂²×C₄₁	1	1	yes	characteristic
897	#546	C₂²×C₄₁	1	1	yes	characteristic
898	#542	—	2	1	no	—
899	#542	—	2	1	no	—
900	#542	C₂²×C₄₁	1	1	yes	characteristic
901	#542	C₂²×C₄₁	1	1	yes	characteristic
902	#542	C₂²×C₄₁	1	1	yes	characteristic, complemented
903	#541	C₂²×C₄₁	1	1	yes	characteristic
904	#539	—	2	1	no	—
905	#538	—	2	1	no	—
906	#533	—	2	1	no	—
907	#533	C₂²×C₄₁	1	1	yes	characteristic, complemented
908	#529	—	2	1	no	—
909	#529	—	2	1	no	—
910	#529	C₂²×C₄₁	1	1	yes	characteristic
911	#529	C₂²×C₄₁	1	1	yes	characteristic
912	C₂×#126	—	2	1	no	—
913	#520	C₂²×C₄₁	1	1	yes	characteristic
914	#519	C₂²×C₄₁	1	1	yes	characteristic
915	#519	C₂²×C₄₁	1	1	yes	characteristic, complemented
916	#518	C₂²×C₄₁	1	1	yes	characteristic
917	C₄×#41	C₂²×C₄₁	1	1	yes	characteristic
918	C₄×#41	C₂²×C₄₁	1	1	yes	characteristic, complemented
919	#501	C₂²×C₄₁	1	1	yes	characteristic, complemented
920	#501	C₂²×C₄₁	1	1	yes	characteristic, complemented
921	#500	C₂²×C₄₁	1	1	yes	characteristic, complemented
922	#497	C₂²×C₄₁	1	1	yes	characteristic
923	#497	C₂²×C₄₁	1	1	yes	characteristic, complemented
924	#495	C₂²×C₄₁	1	1	yes	characteristic
925	#491	C₂²×C₄₁	1	1	yes	characteristic, complemented
926	#489	C₂²×C₄₁	1	1	yes	characteristic
927	#489	C₂²×C₄₁	1	1	yes	characteristic
928	#489	C₂²×C₄₁	1	1	yes	characteristic, complemented
929	#488	C₂²×C₄₁	1	1	yes	characteristic, complemented
930	#487	C₂²×C₄₁	1	1	yes	characteristic, complemented
931	#485	C₂²×C₄₁	1	1	yes	characteristic
932	#485	C₂²×C₄₁	1	1	yes	characteristic
933	#485	C₂²×C₄₁	1	1	yes	characteristic
934	#485	C₂²×C₄₁	1	1	yes	characteristic, complemented
935	#485	C₂²×C₄₁	1	1	yes	characteristic, complemented
936	#485	C₂²×C₄₁	1	1	yes	characteristic, complemented
937	#485	C₂²×C₄₁	1	1	yes	characteristic, complemented
938	#483	C₂²×C₄₁	1	1	yes	characteristic, complemented
939	#482	C₂²×C₄₁	1	1	yes	characteristic
940	#482	C₂²×C₄₁	1	1	yes	characteristic
941	#482	C₂²×C₄₁	1	1	yes	characteristic
942	#481	C₂²×C₄₁	1	1	yes	characteristic, complemented
943	#479	C₂²×C₄₁	1	1	yes	characteristic, complemented
944	#479	C₂²×C₄₁	1	1	yes	characteristic, complemented
945	#479	C₂²×C₄₁	1	1	yes	characteristic, complemented
946	#478	C₂²×C₄₁	1	1	yes	characteristic, complemented
947	#477	C₂²×C₄₁	1	1	yes	characteristic, complemented
948	#476	C₂²×C₄₁	1	1	yes	characteristic
949	#476	C₂²×C₄₁	1	1	yes	characteristic
950	#475	C₂²×C₄₁	1	1	yes	characteristic, complemented
951	#475	C₂²×C₄₁	1	1	yes	characteristic, complemented
952	#475	C₂²×C₄₁	1	1	yes	characteristic, complemented
953	#474	C₂²×C₄₁	1	1	yes	characteristic
954	#474	C₂²×C₄₁	1	1	yes	characteristic
955	#470	C₂²×C₄₁	1	1	yes	characteristic
956	#468	C₂²×C₄₁	1	1	yes	characteristic
957	#468	C₂²×C₄₁	1	1	yes	characteristic
958	#468	C₂²×C₄₁	1	1	yes	characteristic, complemented
959	#467	C₂²×C₄₁	1	1	yes	characteristic
960	#467	C₂²×C₄₁	1	1	yes	characteristic, complemented
961	#467	C₂²×C₄₁	1	1	yes	characteristic, complemented
962	#467	C₂²×C₄₁	1	1	yes	characteristic, complemented
963	#466	C₂²×C₄₁	1	1	yes	characteristic
964	#465	C₂²×C₄₁	1	1	yes	characteristic
965	#465	C₂²×C₄₁	1	1	yes	characteristic
966	#465	C₂²×C₄₁	1	1	yes	characteristic
967	#464	C₂²×C₄₁	1	1	yes	characteristic
968	#464	C₂²×C₄₁	1	1	yes	characteristic
969	#464	C₂²×C₄₁	1	1	yes	characteristic
970	#464	C₂²×C₄₁	1	1	yes	characteristic, complemented
971	#463	C₂²×C₄₁	1	1	yes	characteristic
972	#463	C₂²×C₄₁	1	1	yes	characteristic
973	#463	C₂²×C₄₁	1	1	yes	characteristic
974	#463	C₂²×C₄₁	1	1	yes	characteristic
975	#462	C₂²×C₄₁	1	1	yes	characteristic, complemented
976	#462	C₂²×C₄₁	1	1	yes	characteristic, complemented
977	#462	C₂²×C₄₁	1	1	yes	characteristic, complemented
978	#461	C₂²×C₄₁	1	1	yes	characteristic
979	#452	C₂²×C₄₁	1	1	yes	characteristic
980	#452	C₂²×C₄₁	1	1	yes	characteristic
981	#452	C₂²×C₄₁	1	1	yes	characteristic
982	#452	C₂²×C₄₁	1	1	yes	characteristic, complemented
983	#451	C₂²×C₄₁	1	1	yes	characteristic
984	#451	C₂²×C₄₁	1	1	yes	characteristic
985	#451	C₂²×C₄₁	1	1	yes	characteristic, complemented
986	#450	C₂²×C₄₁	1	1	yes	characteristic
987	#449	C₂²×C₄₁	1	1	yes	characteristic
988	#449	C₂²×C₄₁	1	1	yes	characteristic
989	#448	C₂²×C₄₁	1	1	yes	characteristic
990	#447	C₂²×C₄₁	1	1	yes	characteristic
991	#446	C₂²×C₄₁	1	1	yes	characteristic, complemented
992	#446	C₂²×C₄₁	1	1	yes	characteristic, complemented
993	#442	C₂²×C₄₁	1	1	yes	characteristic
994	#442	C₂²×C₄₁	1	1	yes	characteristic
995	#441	C₂²×C₄₁	1	1	yes	characteristic, complemented
996	#441	C₂²×C₄₁	1	1	yes	characteristic, complemented
997	#441	C₂²×C₄₁	1	1	yes	characteristic, complemented
998	#441	C₂²×C₄₁	1	1	yes	characteristic, complemented
999	#441	C₂²×C₄₁	1	1	yes	characteristic, complemented
1000	#440	C₂²×C₄₁	1	1	yes	characteristic
1001	#440	C₂²×C₄₁	1	1	yes	characteristic
1002	#440	C₂²×C₄₁	1	1	yes	characteristic
1003	#440	C₂²×C₄₁	1	1	yes	characteristic
1004	#440	C₂²×C₄₁	1	1	yes	characteristic
1005	#440	C₂²×C₄₁	1	1	yes	characteristic
1006	#440	C₂²×C₄₁	1	1	yes	characteristic
1007	#440	C₂²×C₄₁	1	1	yes	characteristic, complemented
1008	#440	C₂²×C₄₁	1	1	yes	characteristic, complemented
1009	C₄×Q₁₆	C₂²×C₄₁	1	1	yes	characteristic, complemented
1010	C₄×Q₁₆	C₂²×C₄₁	1	1	yes	characteristic, complemented
1011	C₄×Q₁₆	C₂²×C₄₁	1	1	yes	characteristic, complemented
1012	C₄×Q₁₆	C₂²×C₄₁	1	1	yes	characteristic, complemented
1013	C₄×SD₁₆	C₂²×C₄₁	1	1	yes	characteristic
1014	C₄×SD₁₆	C₂²×C₄₁	1	1	yes	characteristic
1015	C₄×SD₁₆	C₂²×C₄₁	1	1	yes	characteristic
1016	C₄×SD₁₆	C₂²×C₄₁	1	1	yes	characteristic
1017	C₄×SD₁₆	C₂²×C₄₁	1	1	yes	characteristic
1018	C₄×SD₁₆	C₂²×C₄₁	1	1	yes	characteristic
1019	C₄×SD₁₆	C₂²×C₄₁	1	1	yes	characteristic, complemented
1020	C₄×D₈	C₂²×C₄₁	1	1	yes	characteristic
1021	#435	C₂²×C₄₁	1	1	yes	characteristic
1022	#435	C₂²×C₄₁	1	1	yes	characteristic
1023	#435	C₂²×C₄₁	1	1	yes	characteristic
1024	#435	C₂²×C₄₁	1	1	yes	characteristic, complemented
1025	C₈×D₄	C₂²×C₄₁	1	1	yes	characteristic
1026	C₈×D₄	C₂²×C₄₁	1	1	yes	characteristic, complemented
1027	#433	C₂²×C₄₁	1	1	yes	characteristic
1028	#433	C₂²×C₄₁	1	1	yes	characteristic, complemented
1029	#431	C₂²×C₄₁	1	1	yes	characteristic, complemented
1030	#428	C₂²×C₄₁	1	1	yes	characteristic, complemented
1031	#427	C₂²×C₄₁	1	1	yes	characteristic
1032	#427	C₂²×C₄₁	1	1	yes	characteristic, complemented
1033	#419	C₂²×C₄₁	1	1	yes	characteristic
1034	#418	C₂²×C₄₁	1	1	yes	characteristic
1035	#416	C₂²×C₄₁	1	1	yes	characteristic
1036	#416	C₂²×C₄₁	1	1	yes	characteristic
1037	#416	C₂²×C₄₁	1	1	yes	characteristic, complemented
1038	C₂×#103	C₂²×C₄₁	1	1	yes	characteristic, complemented
1039	#405	C₂²×C₄₁	1	1	yes	characteristic
1040	#405	C₂²×C₄₁	1	1	yes	characteristic, complemented
1041	C₂×#97	C₂²×C₄₁	1	1	yes	characteristic, complemented
1042	C₄₁	#61528	1	1	yes	characteristic, direct product factor, Sylow
1043	C₂×#41	C₂³×C₄₁	1	1	yes	characteristic
1044	C₂×#41	C₂³×C₄₁	1	1	yes	characteristic
1045	C₂×#41	C₂³×C₄₁	1	1	yes	characteristic
1046	C₂²×Q₈	C₂³×C₄₁	1	1	yes	characteristic
1047	C₂²×Q₈	C₂³×C₄₁	1	1	yes	characteristic
1048	C₂²×D₄	C₂³×C₄₁	1	1	yes	characteristic
1049	#137	—	2	4	no	—
1050	#135	—	2	4	no	—
1051	C₂×Q₁₆	C₂³×C₄₁	1	1	yes	characteristic
1052	C₂×Q₁₆	C₂³×C₄₁	1	1	yes	characteristic
1053	C₂×Q₁₆	C₂³×C₄₁	1	1	yes	characteristic
1054	C₂×Q₁₆	C₂³×C₄₁	1	1	yes	characteristic
1055	C₂×Q₁₆	C₂³×C₄₁	1	1	yes	characteristic
1056	C₂×Q₁₆	C₂³×C₄₁	1	1	yes	characteristic
1057	C₂×SD₁₆	—	2	4	no	—
1058	C₂×SD₁₆	C₂³×C₄₁	1	1	yes	characteristic
1059	C₂×SD₁₆	C₂³×C₄₁	1	1	yes	characteristic
1060	C₂×SD₁₆	C₂³×C₄₁	1	1	yes	characteristic
1061	C₂×SD₁₆	C₂³×C₄₁	1	1	yes	characteristic
1062	C₂×SD₁₆	C₂³×C₄₁	1	1	yes	characteristic
1063	C₂×SD₁₆	C₂³×C₄₁	1	1	yes	characteristic
1064	C₂×SD₁₆	C₂³×C₄₁	1	1	yes	characteristic
1065	C₂×SD₁₆	C₂³×C₄₁	1	1	yes	characteristic
1066	C₂×D₈	C₂³×C₄₁	1	1	yes	characteristic
1067	C₂×D₈	C₂³×C₄₁	1	1	yes	characteristic
1068	C₂×M₁₆	C₂³×C₄₁	1	1	yes	characteristic
1069	C₂×M₁₆	C₂³×C₄₁	1	1	yes	characteristic
1070	C₂²×C₈	C₂³×C₄₁	1	1	yes	characteristic
1071	C₂²×C₈	C₂³×C₄₁	1	1	yes	characteristic
1072	C₂²×C₈	C₂³×C₄₁	1	1	yes	characteristic
1073	C₂²×C₈	C₂³×C₄₁	1	1	yes	characteristic
1074	C₄⋊Q₈	—	2	1	no	—
1075	C₄⋊Q₈	—	2	1	no	—
1076	C₄⋊Q₈	—	2	1	no	—
1077	C₄⋊Q₈	—	2	1	no	—
1078	C₄⋊Q₈	C₂³×C₄₁	1	1	yes	characteristic
1079	C₄⋊Q₈	C₂³×C₄₁	1	1	yes	characteristic
1080	C₄⋊Q₈	C₂³×C₄₁	1	1	yes	characteristic
1081	C₄⋊Q₈	C₂³×C₄₁	1	1	yes	characteristic
1082	C₄⋊Q₈	C₂³×C₄₁	1	1	yes	characteristic
1083	C₄⋊Q₈	C₂³×C₄₁	1	1	yes	characteristic
1084	#126	—	2	1	no	—
1085	#126	—	2	1	no	—
1086	#126	—	2	1	no	—
1087	#126	—	2	1	no	—
1088	#126	—	2	1	no	—
1089	#126	—	2	1	no	—
1090	#126	—	2	1	no	—
1091	#126	—	2	1	no	—
1092	#126	—	2	1	no	—
1093	#126	—	2	1	no	—
1094	#126	—	2	1	no	—
1095	#126	—	2	1	no	—
1096	#126	—	2	1	no	—
1097	#126	—	2	1	no	—
1098	#126	—	2	1	no	—
1099	#126	—	2	1	no	—
1100	#126	—	2	1	no	—
1101	#126	—	2	1	no	—
1102	#126	D₄×C₄₁	1	1	yes	characteristic
1103	#126	D₄×C₄₁	1	1	yes	characteristic
1104	#125	—	2	1	no	—
1105	#125	—	2	1	no	—
1106	#125	—	2	1	no	—
1107	#125	—	2	1	no	—
1108	#125	D₄×C₄₁	1	1	yes	characteristic
1109	#125	C₂³×C₄₁	1	1	yes	characteristic
1110	#125	C₂³×C₄₁	1	1	yes	characteristic
1111	#124	—	2	1	no	—
1112	#124	—	2	1	no	—
1113	#124	—	2	1	no	—
1114	#124	—	2	1	no	—
1115	#124	—	2	1	no	—
1116	#124	—	2	1	no	—
1117	#124	—	2	1	no	—
1118	#124	—	2	1	no	—
1119	#124	—	2	1	no	—
1120	#124	—	2	1	no	—
1121	#124	D₄×C₄₁	1	1	yes	characteristic
1122	#124	C₂³×C₄₁	1	1	yes	characteristic
1123	#124	C₂³×C₄₁	1	1	yes	characteristic
1124	#124	C₂³×C₄₁	1	1	yes	characteristic
1125	#124	C₂³×C₄₁	1	1	yes	characteristic
1126	#123	—	2	1	no	—
1127	#123	—	2	1	no	—
1128	#123	—	2	1	no	—
1129	#123	—	2	1	no	—
1130	#123	—	2	1	no	—
1131	#123	—	2	1	no	—
1132	#123	—	2	1	no	—
1133	#123	—	2	1	no	—
1134	#123	—	2	1	no	—
1135	#123	—	2	1	no	—
1136	#123	D₄×C₄₁	1	1	yes	characteristic
1137	#123	D₄×C₄₁	1	1	yes	characteristic
1138	C₂²⋊Q₈	—	2	1	no	—
1139	C₂²⋊Q₈	—	2	1	no	—
1140	C₂²⋊Q₈	—	2	1	no	—
1141	C₂²⋊Q₈	—	2	1	no	—
1142	C₂²⋊Q₈	—	2	1	no	—
1143	C₂²⋊Q₈	—	2	1	no	—
1144	C₂²⋊Q₈	—	2	1	no	—
1145	C₂²⋊Q₈	—	2	1	no	—
1146	C₂²⋊Q₈	—	2	1	no	—
1147	C₂²⋊Q₈	—	2	1	no	—
1148	C₂²⋊Q₈	—	2	1	no	—
1149	C₂²⋊Q₈	—	2	1	no	—
1150	C₂²⋊Q₈	—	2	1	no	—
1151	C₂²⋊Q₈	D₄×C₄₁	1	1	yes	characteristic
1152	C₂²⋊Q₈	C₂³×C₄₁	1	1	yes	characteristic
1153	C₂²⋊Q₈	C₂³×C₄₁	1	1	yes	characteristic
1154	C₂²⋊Q₈	C₂³×C₄₁	1	1	yes	characteristic
1155	C₂²⋊Q₈	C₂³×C₄₁	1	1	yes	characteristic
1156	C₂²⋊Q₈	C₂³×C₄₁	1	1	yes	characteristic
1157	C₂²⋊Q₈	C₂³×C₄₁	1	1	yes	characteristic
1158	C₂²⋊Q₈	C₂³×C₄₁	1	1	yes	characteristic
1159	C₂²⋊Q₈	C₂³×C₄₁	1	1	yes	characteristic
1160	#121	—	2	1	no	—
1161	#121	—	2	1	no	—
1162	#121	—	2	1	no	—
1163	#121	—	2	1	no	—
1164	#121	—	2	1	no	—
1165	#121	—	2	1	no	—
1166	#121	—	2	1	no	—
1167	#121	D₄×C₄₁	1	1	yes	characteristic
1168	#121	C₂³×C₄₁	1	1	yes	characteristic
1169	#121	C₂³×C₄₁	1	1	yes	characteristic
1170	#121	C₂³×C₄₁	1	1	yes	characteristic
1171	#121	C₂³×C₄₁	1	1	yes	characteristic
1172	#120	—	2	1	no	—
1173	#120	—	2	1	no	—
1174	C₄×Q₈	—	2	1	no	—
1175	C₄×Q₈	—	2	1	no	—
1176	C₄×Q₈	—	2	1	no	—
1177	C₄×Q₈	—	2	1	no	—
1178	C₄×Q₈	—	2	1	no	—
1179	C₄×Q₈	—	2	1	no	—
1180	C₄×Q₈	—	2	1	no	—
1181	C₄×Q₈	—	2	1	no	—
1182	C₄×Q₈	—	2	1	no	—
1183	C₄×Q₈	C₂³×C₄₁	1	1	yes	characteristic
1184	C₄×Q₈	C₂³×C₄₁	1	1	yes	characteristic
1185	C₄×Q₈	C₂³×C₄₁	1	1	yes	characteristic
1186	C₄×Q₈	C₂³×C₄₁	1	1	yes	characteristic
1187	C₄×Q₈	C₂³×C₄₁	1	1	yes	characteristic
1188	C₄×Q₈	C₂³×C₄₁	1	1	yes	characteristic
1189	C₄×Q₈	C₂³×C₄₁	1	1	yes	characteristic
1190	C₄×Q₈	C₂³×C₄₁	1	1	yes	characteristic
1191	C₄×Q₈	C₂³×C₄₁	1	1	yes	characteristic
1192	C₄×Q₈	C₂³×C₄₁	1	1	yes	characteristic
1193	C₄×Q₈	C₂³×C₄₁	1	1	yes	characteristic
1194	C₄×Q₈	C₂³×C₄₁	1	1	yes	characteristic
1195	C₄×Q₈	C₂³×C₄₁	1	1	yes	characteristic
1196	C₄×D₄	—	2	1	no	—
1197	C₄×D₄	—	2	1	no	—
1198	C₄×D₄	—	2	1	no	—
1199	C₄×D₄	—	2	1	no	—
1200	C₄×D₄	—	2	1	no	—
1201	C₄×D₄	—	2	1	no	—
1202	C₄×D₄	—	2	1	no	—
1203	C₄×D₄	—	2	1	no	—
1204	C₄×D₄	—	2	1	no	—
1205	C₄×D₄	—	2	1	no	—
1206	C₄×D₄	—	2	1	no	—
1207	C₄×D₄	—	2	1	no	—
1208	C₄×D₄	—	2	1	no	—
1209	C₄×D₄	C₂³×C₄₁	1	1	yes	characteristic
1210	C₄×D₄	C₂³×C₄₁	1	1	yes	characteristic
1211	C₄×D₄	C₂³×C₄₁	1	1	yes	characteristic
1212	C₄×D₄	C₂³×C₄₁	1	1	yes	characteristic
1213	C₄×D₄	C₂³×C₄₁	1	1	yes	characteristic
1214	C₄×D₄	C₂³×C₄₁	1	1	yes	characteristic
1215	C₄×D₄	C₂³×C₄₁	1	1	yes	characteristic
1216	C₄×D₄	C₂³×C₄₁	1	1	yes	characteristic
1217	C₄×D₄	C₂³×C₄₁	1	1	yes	characteristic
1218	C₄×D₄	C₂³×C₄₁	1	1	yes	characteristic
1219	C₄×D₄	C₂³×C₄₁	1	1	yes	characteristic
1220	#117	—	2	1	no	—
1221	#117	—	2	1	no	—
1222	#117	—	2	1	no	—
1223	#117	—	2	1	no	—
1224	#117	—	2	1	no	—
1225	#117	—	2	1	no	—
1226	#117	—	2	1	no	—
1227	#117	—	2	1	no	—
1228	#117	—	2	1	no	—
1229	#117	—	2	1	no	—
1230	#117	—	2	1	no	—
1231	#117	—	2	1	no	—
1232	#117	—	2	1	no	—
1233	#117	C₂³×C₄₁	1	1	yes	characteristic
1234	#117	C₂³×C₄₁	1	1	yes	characteristic
1235	#117	C₂³×C₄₁	1	1	yes	characteristic
1236	#117	C₂³×C₄₁	1	1	yes	characteristic
1237	#117	C₂³×C₄₁	1	1	yes	characteristic
1238	#117	C₂³×C₄₁	1	1	yes	characteristic
1239	#117	C₂³×C₄₁	1	1	yes	characteristic
1240	C₂×C₄⋊C₄	—	2	1	no	—
1241	C₂×C₄⋊C₄	—	2	1	no	—
1242	C₂×C₄⋊C₄	—	2	1	no	—
1243	C₂×C₄⋊C₄	C₂³×C₄₁	1	1	yes	characteristic
1244	C₂×C₂²⋊C₄	—	2	1	no	—
1245	C₂×C₂²⋊C₄	—	2	1	no	—
1246	C₂×C₂²⋊C₄	—	2	1	no	—
1247	C₂×C₂²⋊C₄	—	2	1	no	—
1248	C₂×C₄²	—	2	1	no	—
1249	C₂×C₄²	—	2	1	no	—
1250	C₂×C₄²	C₂³×C₄₁	1	1	yes	characteristic
1251	#107	C₂³×C₄₁	1	1	yes	characteristic
1252	#107	C₂³×C₄₁	1	1	yes	characteristic
1253	#107	C₂³×C₄₁	1	1	yes	characteristic
1254	#107	C₂³×C₄₁	1	1	yes	characteristic
1255	#107	C₂³×C₄₁	1	1	yes	characteristic
1256	#107	C₂³×C₄₁	1	1	yes	characteristic
1257	#107	C₂³×C₄₁	1	1	yes	characteristic
1258	#107	C₂³×C₄₁	1	1	yes	characteristic
1259	#106	C₂³×C₄₁	1	1	yes	characteristic
1260	#106	C₂³×C₄₁	1	1	yes	characteristic
1261	#106	C₂³×C₄₁	1	1	yes	characteristic
1262	#106	C₂³×C₄₁	1	1	yes	characteristic
1263	#106	C₂³×C₄₁	1	1	yes	characteristic
1264	#106	C₂³×C₄₁	1	1	yes	characteristic
1265	#106	C₂³×C₄₁	1	1	yes	characteristic
1266	#106	C₂³×C₄₁	1	1	yes	characteristic
1267	C₄⋊C₈	C₂³×C₄₁	1	1	yes	characteristic
1268	C₄⋊C₈	C₂³×C₄₁	1	1	yes	characteristic
1269	C₄⋊C₈	C₂³×C₄₁	1	1	yes	characteristic
1270	C₄⋊C₈	C₂³×C₄₁	1	1	yes	characteristic
1271	C₄⋊C₈	C₂³×C₄₁	1	1	yes	characteristic
1272	C₄⋊C₈	C₂³×C₄₁	1	1	yes	characteristic
1273	#103	C₂³×C₄₁	1	1	yes	characteristic
1274	#103	C₂³×C₄₁	1	1	yes	characteristic
1275	#103	C₂³×C₄₁	1	1	yes	characteristic
1276	#103	C₂³×C₄₁	1	1	yes	characteristic
1277	#103	C₂³×C₄₁	1	1	yes	characteristic
1278	#103	C₂³×C₄₁	1	1	yes	characteristic
1279	#103	C₂³×C₄₁	1	1	yes	characteristic
1280	#103	C₂³×C₄₁	1	1	yes	characteristic
1281	#103	C₂³×C₄₁	1	1	yes	characteristic
1282	#103	C₂³×C₄₁	1	1	yes	characteristic
1283	#103	C₂³×C₄₁	1	1	yes	characteristic
1284	#103	C₂³×C₄₁	1	1	yes	characteristic
1285	#103	C₂³×C₄₁	1	1	yes	characteristic
1286	#103	C₂³×C₄₁	1	1	yes	characteristic
1287	#103	C₂³×C₄₁	1	1	yes	characteristic
1288	#103	C₂³×C₄₁	1	1	yes	characteristic
1289	#103	C₂³×C₄₁	1	1	yes	characteristic
1290	#103	C₂³×C₄₁	1	1	yes	characteristic
1291	#103	C₂³×C₄₁	1	1	yes	characteristic
1292	#103	C₂³×C₄₁	1	1	yes	characteristic
1293	#102	C₂³×C₄₁	1	1	yes	characteristic
1294	#102	C₂³×C₄₁	1	1	yes	characteristic
1295	#102	C₂³×C₄₁	1	1	yes	characteristic
1296	#102	C₂³×C₄₁	1	1	yes	characteristic
1297	#102	C₂³×C₄₁	1	1	yes	characteristic
1298	#102	C₂³×C₄₁	1	1	yes	characteristic
1299	#102	C₂³×C₄₁	1	1	yes	characteristic
1300	#102	C₂³×C₄₁	1	1	yes	characteristic
1301	#102	C₂³×C₄₁	1	1	yes	characteristic
1302	#102	C₂³×C₄₁	1	1	yes	characteristic
1303	#102	C₂³×C₄₁	1	1	yes	characteristic
1304	#102	C₂³×C₄₁	1	1	yes	characteristic
1305	C₂²⋊C₈	C₂³×C₄₁	1	1	yes	characteristic
1306	C₂²⋊C₈	C₂³×C₄₁	1	1	yes	characteristic
1307	C₂²⋊C₈	C₂³×C₄₁	1	1	yes	characteristic
1308	C₂²⋊C₈	C₂³×C₄₁	1	1	yes	characteristic
1309	C₂²⋊C₈	C₂³×C₄₁	1	1	yes	characteristic
1310	C₂²⋊C₈	C₂³×C₄₁	1	1	yes	characteristic
1311	#97	C₂³×C₄₁	1	1	yes	characteristic
1312	#97	C₂³×C₄₁	1	1	yes	characteristic
1313	#97	C₂³×C₄₁	1	1	yes	characteristic
1314	#97	C₂³×C₄₁	1	1	yes	characteristic
1315	#97	C₂³×C₄₁	1	1	yes	characteristic
1316	#97	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	C₂⁴	—	2	1	no	—
1322	#41	—	2	2	no	—
1323	#41	—	2	2	no	—
1324	#41	—	2	2	no	—
1325	#41	—	4	1	no	—
1326	#41	—	4	1	no	—
1327	#41	—	4	1	no	—
1328	C₂×Q₈	—	2	1	no	—
1329	C₂×Q₈	—	2	1	no	—
1330	C₂×Q₈	—	2	1	no	—
1331	C₂×Q₈	—	2	1	no	—
1332	C₂×Q₈	—	2	1	no	—
1333	C₂×Q₈	—	2	1	no	—
1334	C₂×Q₈	—	2	2	no	—
1335	C₂×Q₈	—	2	2	no	—
1336	C₂×Q₈	—	4	1	no	—
1337	C₂×Q₈	—	4	1	no	—
1338	C₂×Q₈	C₂×D₄×C₄₁	1	1	yes	characteristic
1339	C₂×Q₈	C₂⁴×C₄₁	1	1	yes	characteristic
1340	C₂×Q₈	C₂⁴×C₄₁	1	1	yes	characteristic
1341	C₂×Q₈	C₂⁴×C₄₁	1	1	yes	characteristic
1342	C₂×Q₈	C₂⁴×C₄₁	1	1	yes	characteristic
1343	C₂×Q₈	C₂⁴×C₄₁	1	1	yes	characteristic
1344	C₂×D₄	—	2	2	no	—
1345	C₂×D₄	—	2	1	no	—
1346	C₂×D₄	—	2	1	no	—
1347	C₂×D₄	—	2	1	no	—
1348	C₂×D₄	—	2	1	no	—
1349	C₂×D₄	—	2	1	no	—
1350	C₂×D₄	—	2	1	no	—
1351	C₂×D₄	—	2	1	no	—
1352	C₂×D₄	—	2	1	no	—
1353	C₂×D₄	—	4	1	no	—
1354	C₂×D₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1355	C₂×D₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1356	C₂×D₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1357	C₂×D₄	C₂⁴×C₄₁	1	1	yes	characteristic
1358	C₂×D₄	C₂⁴×C₄₁	1	1	yes	characteristic
1359	C₂×D₄	C₂⁴×C₄₁	1	1	yes	characteristic
1360	C₂²×C₄	—	2	1	no	—
1361	C₂²×C₄	—	2	1	no	—
1362	C₂²×C₄	—	2	1	no	—
1363	C₂²×C₄	—	2	1	no	—
1364	C₂²×C₄	—	2	1	no	—
1365	C₂²×C₄	—	2	1	no	—
1366	C₂²×C₄	—	2	1	no	—
1367	C₂²×C₄	—	2	1	no	—
1368	C₂²×C₄	—	2	1	no	—
1369	C₂²×C₄	—	2	1	no	—
1370	C₂²×C₄	—	2	1	no	—
1371	C₂²×C₄	—	2	1	no	—
1372	C₂²×C₄	—	2	1	no	—
1373	C₂²×C₄	—	2	1	no	—
1374	C₂²×C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1375	C₂²×C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1376	C₂²×C₄	C₂⁴×C₄₁	1	1	yes	characteristic
1377	C₂²×C₄	C₂⁴×C₄₁	1	1	yes	characteristic
1378	C₂²×C₄	C₂⁴×C₄₁	1	1	yes	characteristic
1379	Q₁₆	—	2	2	no	—
1380	Q₁₆	—	2	2	no	—
1381	Q₁₆	—	2	2	no	—
1382	Q₁₆	—	4	1	no	—
1383	Q₁₆	—	4	1	no	—
1384	Q₁₆	—	4	1	no	—
1385	SD₁₆	—	2	2	no	—
1386	SD₁₆	—	2	2	no	—
1387	SD₁₆	—	2	2	no	—
1388	SD₁₆	—	2	2	no	—
1389	SD₁₆	—	2	2	no	—
1390	SD₁₆	—	4	1	no	—
1391	SD₁₆	—	4	1	no	—
1392	SD₁₆	#41×C₄₁	1	4	yes	—
1393	D₈	—	2	2	no	—
1394	D₈	—	4	1	no	—
1395	M₁₆	—	2	2	no	—
1396	M₁₆	—	4	1	no	—
1397	C₂×C₈	—	2	2	no	—
1398	C₂×C₈	—	2	2	no	—
1399	C₂×C₈	—	4	1	no	—
1400	C₂×C₈	—	4	1	no	—
1401	C₂×C₈	C₂⁴×C₄₁	1	1	yes	characteristic
1402	C₂×C₈	C₂⁴×C₄₁	1	1	yes	characteristic
1403	C₂×C₈	C₂⁴×C₄₁	1	1	yes	characteristic
1404	C₂×C₈	C₂⁴×C₄₁	1	1	yes	characteristic
1405	C₂×C₈	C₂⁴×C₄₁	1	1	yes	characteristic
1406	C₂×C₈	C₂⁴×C₄₁	1	1	yes	characteristic
1407	C₂×C₈	C₂⁴×C₄₁	1	1	yes	characteristic
1408	C₂×C₈	C₂⁴×C₄₁	1	1	yes	characteristic
1409	C₄⋊C₄	—	2	1	no	—
1410	C₄⋊C₄	—	2	1	no	—
1411	C₄⋊C₄	—	2	1	no	—
1412	C₄⋊C₄	—	2	1	no	—
1413	C₄⋊C₄	—	2	1	no	—
1414	C₄⋊C₄	—	2	1	no	—
1415	C₄⋊C₄	—	2	1	no	—
1416	C₄⋊C₄	—	2	1	no	—
1417	C₄⋊C₄	—	2	1	no	—
1418	C₄⋊C₄	—	2	1	no	—
1419	C₄⋊C₄	—	2	1	no	—
1420	C₄⋊C₄	—	2	1	no	—
1421	C₄⋊C₄	—	2	1	no	—
1422	C₄⋊C₄	—	2	1	no	—
1423	C₄⋊C₄	—	2	1	no	—
1424	C₄⋊C₄	—	2	1	no	—
1425	C₄⋊C₄	—	2	1	no	—
1426	C₄⋊C₄	—	2	1	no	—
1427	C₄⋊C₄	—	2	1	no	—
1428	C₄⋊C₄	—	2	1	no	—
1429	C₄⋊C₄	—	2	1	no	—
1430	C₄⋊C₄	—	2	1	no	—
1431	C₄⋊C₄	—	2	1	no	—
1432	C₄⋊C₄	—	2	1	no	—
1433	C₄⋊C₄	—	2	1	no	—
1434	C₄⋊C₄	—	2	1	no	—
1435	C₄⋊C₄	—	2	1	no	—
1436	C₄⋊C₄	—	2	1	no	—
1437	C₄⋊C₄	—	2	1	no	—
1438	C₄⋊C₄	—	2	1	no	—
1439	C₄⋊C₄	—	2	1	no	—
1440	C₄⋊C₄	—	2	1	no	—
1441	C₄⋊C₄	—	2	1	no	—
1442	C₄⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1443	C₄⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1444	C₄⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1445	C₄⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1446	C₄⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1447	C₄⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1448	C₄⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1449	C₄⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1450	C₄⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1451	C₄⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1452	C₄⋊C₄	C₂⁴×C₄₁	1	1	yes	characteristic
1453	C₄⋊C₄	C₂⁴×C₄₁	1	1	yes	characteristic
1454	C₄⋊C₄	C₂⁴×C₄₁	1	1	yes	characteristic
1455	C₄⋊C₄	C₂⁴×C₄₁	1	1	yes	characteristic
1456	C₄⋊C₄	C₂⁴×C₄₁	1	1	yes	characteristic
1457	C₄⋊C₄	C₂⁴×C₄₁	1	1	yes	characteristic
1458	C₄⋊C₄	C₂⁴×C₄₁	1	1	yes	characteristic
1459	C₄⋊C₄	C₂⁴×C₄₁	1	1	yes	characteristic
1460	C₂²⋊C₄	—	2	1	no	—
1461	C₂²⋊C₄	—	2	1	no	—
1462	C₂²⋊C₄	—	2	1	no	—
1463	C₂²⋊C₄	—	2	1	no	—
1464	C₂²⋊C₄	—	2	1	no	—
1465	C₂²⋊C₄	—	2	1	no	—
1466	C₂²⋊C₄	—	2	1	no	—
1467	C₂²⋊C₄	—	2	1	no	—
1468	C₂²⋊C₄	—	2	1	no	—
1469	C₂²⋊C₄	—	2	1	no	—
1470	C₂²⋊C₄	—	2	1	no	—
1471	C₂²⋊C₄	—	2	1	no	—
1472	C₂²⋊C₄	—	2	1	no	—
1473	C₂²⋊C₄	—	2	1	no	—
1474	C₂²⋊C₄	—	2	1	no	—
1475	C₂²⋊C₄	—	2	1	no	—
1476	C₂²⋊C₄	—	2	1	no	—
1477	C₂²⋊C₄	—	2	1	no	—
1478	C₂²⋊C₄	—	2	1	no	—
1479	C₂²⋊C₄	—	2	1	no	—
1480	C₂²⋊C₄	—	2	1	no	—
1481	C₂²⋊C₄	—	2	1	no	—
1482	C₂²⋊C₄	—	2	1	no	—
1483	C₂²⋊C₄	—	2	1	no	—
1484	C₂²⋊C₄	—	2	1	no	—
1485	C₂²⋊C₄	—	2	1	no	—
1486	C₂²⋊C₄	—	2	1	no	—
1487	C₂²⋊C₄	—	2	1	no	—
1488	C₂²⋊C₄	—	2	1	no	—
1489	C₂²⋊C₄	—	2	1	no	—
1490	C₂²⋊C₄	—	2	1	no	—
1491	C₂²⋊C₄	—	2	1	no	—
1492	C₂²⋊C₄	—	2	1	no	—
1493	C₂²⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1494	C₂²⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1495	C₂²⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1496	C₂²⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1497	C₂²⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1498	C₂²⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1499	C₂²⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1500	C₂²⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1501	C₂²⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1502	C₂²⋊C₄	C₂×D₄×C₄₁	1	1	yes	characteristic
1503	C₄²	—	2	1	no	—
1504	C₄²	—	2	1	no	—
1505	C₄²	—	2	1	no	—
1506	C₄²	—	2	1	no	—
1507	C₄²	—	2	1	no	—
1508	C₄²	—	2	1	no	—
1509	C₄²	—	2	1	no	—
1510	C₄²	—	2	1	no	—
1511	C₄²	—	2	1	no	—
1512	C₄²	—	2	1	no	—
1513	C₄²	—	2	1	no	—
1514	C₄²	—	2	1	no	—
1515	C₄²	—	2	1	no	—
1516	C₄²	—	2	1	no	—
1517	C₄²	—	2	1	no	—
1518	C₄²	—	2	1	no	—
1519	C₄²	—	2	1	no	—
1520	C₄²	C₂×D₄×C₄₁	1	1	yes	characteristic
1521	C₄²	C₂×D₄×C₄₁	1	1	yes	characteristic
1522	C₄²	C₂⁴×C₄₁	1	1	yes	characteristic
1523	C₄²	C₂⁴×C₄₁	1	1	yes	characteristic
1524	C₄²	C₂⁴×C₄₁	1	1	yes	characteristic
1525	C₄²	C₂⁴×C₄₁	1	1	yes	characteristic
1526	C₂³	—	2	1	no	—
1527	C₂³	—	2	1	no	—
1528	C₂³	—	2	1	no	—
1529	C₂³	—	4	2	no	—
1530	C₂³	—	8	1	no	—
1531	C₂³	—	8	1	no	—
1532	C₂³	C₂²×D₄×C₄₁	1	1	yes	characteristic
1533	C₂³	C₂²×D₄×C₄₁	1	1	yes	characteristic
1534	C₂³	C₂²×D₄×C₄₁	1	1	yes	characteristic
1535	Q₈	—	2	1	no	—
1536	Q₈	—	2	1	no	—
1537	Q₈	—	2	1	no	—
1538	Q₈	—	2	1	no	—
1539	Q₈	—	2	1	no	—
1540	Q₈	—	2	1	no	—
1541	Q₈	—	2	1	no	—
1542	Q₈	—	2	1	no	—
1543	Q₈	—	2	1	no	—
1544	Q₈	—	4	1	no	—
1545	Q₈	—	4	2	no	—
1546	Q₈	—	4	2	no	—
1547	Q₈	—	8	1	no	—
1548	Q₈	—	8	1	no	—
1549	Q₈	—	8	1	no	—
1550	Q₈	—	8	1	no	—
1551	Q₈	C₂×#41×C₄₁	1	2	yes	—
1552	D₄	—	2	1	no	—
1553	D₄	—	2	1	no	—
1554	D₄	—	2	1	no	—
1555	D₄	—	2	1	no	—
1556	D₄	—	2	1	no	—
1557	D₄	—	4	1	no	—
1558	D₄	—	4	1	no	—
1559	D₄	—	4	1	no	—
1560	D₄	—	4	2	no	—
1561	D₄	—	4	2	no	—
1562	D₄	—	4	2	no	—
1563	D₄	—	4	2	no	—
1564	D₄	—	8	1	no	—
1565	D₄	—	8	1	no	—
1566	D₄	—	8	1	no	—
1567	D₄	—	8	1	no	—
1568	D₄	C₂×#41×C₄₁	1	2	yes	—
1569	C₂×C₄	—	2	1	no	—
1570	C₂×C₄	—	2	1	no	—
1571	C₂×C₄	—	2	1	no	—
1572	C₂×C₄	—	2	1	no	—
1573	C₂×C₄	—	2	1	no	—
1574	C₂×C₄	—	2	1	no	—
1575	C₂×C₄	—	2	1	no	—
1576	C₂×C₄	—	2	1	no	—
1577	C₂×C₄	—	2	1	no	—
1578	C₂×C₄	—	2	1	no	—
1579	C₂×C₄	—	2	1	no	—
1580	C₂×C₄	—	2	1	no	—
1581	C₂×C₄	—	2	1	no	—
1582	C₂×C₄	—	2	1	no	—
1583	C₂×C₄	—	2	1	no	—
1584	C₂×C₄	—	2	1	no	—
1585	C₂×C₄	—	2	1	no	—
1586	C₂×C₄	—	2	1	no	—
1587	C₂×C₄	—	2	1	no	—
1588	C₂×C₄	—	4	1	no	—
1589	C₂×C₄	—	4	1	no	—
1590	C₂×C₄	—	4	2	no	—
1591	C₂×C₄	—	4	2	no	—
1592	C₂×C₄	—	4	2	no	—
1593	C₂×C₄	—	4	2	no	—
1594	C₂×C₄	—	4	2	no	—
1595	C₂×C₄	—	4	2	no	—
1596	C₂×C₄	—	8	1	no	—
1597	C₂×C₄	—	8	1	no	—
1598	C₂×C₄	—	8	1	no	—
1599	C₂×C₄	—	8	1	no	—
1600	C₂×C₄	—	8	1	no	—
1601	C₂×C₄	—	8	1	no	—
1602	C₂×C₄	—	8	1	no	—
1603	C₂×C₄	—	8	1	no	—
1604	C₂×C₄	C₂²×D₄×C₄₁	1	1	yes	characteristic
1605	C₂×C₄	C₂²×D₄×C₄₁	1	1	yes	characteristic
1606	C₂×C₄	C₂²×D₄×C₄₁	1	1	yes	characteristic
1607	C₂×C₄	C₂²×D₄×C₄₁	1	1	yes	characteristic
1608	C₂×C₄	C₂²×D₄×C₄₁	1	1	yes	characteristic
1609	C₂×C₄	C₂²×D₄×C₄₁	1	1	yes	characteristic
1610	C₂×C₄	C₂²×D₄×C₄₁	1	1	yes	characteristic
1611	C₂×C₄	C₂²×D₄×C₄₁	1	1	yes	characteristic
1612	C₂×C₄	C₂²×D₄×C₄₁	1	1	yes	characteristic
1613	C₂×C₄	C₂²×D₄×C₄₁	1	1	yes	characteristic
1614	C₂×C₄	C₂²×D₄×C₄₁	1	1	yes	characteristic
1615	C₂×C₄	C₂⁵×C₄₁	1	1	yes	characteristic
1616	C₈	—	2	1	no	—
1617	C₈	—	2	1	no	—
1618	C₈	—	2	1	no	—
1619	C₈	—	2	1	no	—
1620	C₈	—	2	1	no	—
1621	C₈	—	2	1	no	—
1622	C₈	—	2	1	no	—
1623	C₈	C₂×#41×C₄₁	1	2	yes	—
1624	C₂²	—	2	1	no	—
1625	C₂²	—	2	1	no	—
1626	C₂²	—	2	1	no	—
1627	C₂²	—	2	1	no	—
1628	C₂²	—	2	1	no	—
1629	C₂²	—	2	1	no	—
1630	C₂²	—	2	1	no	—
1631	C₂²	—	2	1	no	—
1632	C₂²	—	2	1	no	—
1633	C₂²	—	2	2	no	—
1634	C₂²	—	4	1	no	—
1635	C₂²	—	4	1	no	—
1636	C₂²	—	4	1	no	—
1637	C₂²	—	4	1	no	—
1638	C₂²	—	4	1	no	—
1639	C₂²	—	4	1	no	—
1640	C₂²	—	4	1	no	—
1641	C₂²	—	4	1	no	—
1642	C₂²	—	16	2	no	—
1643	C₂²	C₂³×D₄×C₄₁	1	1	yes	characteristic
1644	C₄	—	2	1	no	—
1645	C₄	—	2	1	no	—
1646	C₄	—	2	1	no	—
1647	C₄	—	2	1	no	—
1648	C₄	—	2	1	no	—
1649	C₄	—	2	1	no	—
1650	C₄	—	2	1	no	—
1651	C₄	—	2	1	no	—
1652	C₄	—	2	1	no	—
1653	C₄	—	2	1	no	—
1654	C₄	—	2	1	no	—
1655	C₄	—	2	2	no	—
1656	C₄	—	4	1	no	—
1657	C₄	—	4	1	no	—
1658	C₄	—	4	1	no	—
1659	C₄	—	4	1	no	—
1660	C₄	—	4	1	no	—
1661	C₄	—	4	1	no	—
1662	C₄	—	4	1	no	—
1663	C₄	—	4	1	no	—
1664	C₄	—	4	1	no	—
1665	C₄	—	4	1	no	—
1666	C₄	—	4	1	no	—
1667	C₄	—	4	1	no	—
1668	C₄	C₂²×#41×C₄₁	1	1	yes	characteristic
1669	C₄	C₄₁×#585	1	1	yes	characteristic
1670	C₂	—	4	1	no	—
1671	C₂	—	4	1	no	—
1672	C₂	—	4	1	no	—
1673	C₂	—	4	2	no	—
1674	C₂	—	8	1	no	—
1675	C₂	—	8	1	no	—
1676	C₂	D₄×#41×C₄₁	1	1	yes	characteristic
1677	C₂	C₄₁×#3584	1	1	yes	characteristic
1678	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×#3521	C₂	semidirect
2. C₄₁×#3518	C₂	semidirect
3. C₄₁×#3402	C₂	semidirect
4. C₄₁×#3385	C₂	semidirect
5. C₄₁×#3376	C₂	semidirect
6. C₄₁×#3369	C₂	semidirect
7. C₄₁×#3350	C₂	semidirect
8. C₄₁×#3348	C₂	semidirect
9. C₄₁×#3342	C₂	semidirect
10. C₄₁×#3319	C₂	semidirect
11. C₄₁×#3313	C₂	semidirect
12. C₄₁×#3312	C₂	semidirect
13. C₄₁×#3311	C₂	semidirect
14. C₄₁×#3302	C₂	semidirect
15. C₄₁×#3301	C₂	semidirect
16. C₄₁×#3282	C₂	semidirect
17. C₄₁×#3269	C₂	semidirect
18. C₄₁×#3266	C₂	semidirect
19. C₄₁×#3181	C₂	semidirect
20. C₄₁×#3178	C₂	semidirect
21. C₄₁×#3175	C₂	semidirect
22. C₄₁×#3127	C₂	semidirect
23. C₄₁×#3125	C₂	semidirect
24. C₄₁×#3121	C₂	semidirect
25. C₄₁×#3118	C₂	semidirect
26. C₄₁×#3107	C₂	semidirect
27. C₄₁×#3102	C₂	semidirect
28. C₄₁×#2968	C₂	semidirect
29. C₄₁×#2949	C₂	semidirect
30. C₄₁×#2947	C₂	semidirect
31. C₄₁×#2943	C₂	semidirect
35. Q₈²×C₄₁	C₂²	semidirect
42. C₄₁×#556	C₂²	semidirect
43. C₄₁×#556	C₂²	semidirect
55. C₄₁×#548	C₂²	semidirect
63. C₄₁×#542	C₂²	semidirect
68. C₄₁×#533	C₂²	semidirect
76. C₄₁×#519	C₂²	semidirect
79. C₄×#41×C₄₁	C₂²	semidirect
80. C₄₁×#501	C₂²	semidirect
81. C₄₁×#501	C₂²	semidirect
82. C₄₁×#500	C₂²	semidirect
84. C₄₁×#497	C₂²	semidirect
86. C₄₁×#491	C₂²	semidirect
89. C₄₁×#489	C₂²	semidirect
90. C₄₁×#488	C₂²	semidirect
91. C₄₁×#487	C₂²	semidirect
95. C₄₁×#485	C₂²	semidirect
96. C₄₁×#485	C₂²	semidirect
97. C₄₁×#485	C₂²	semidirect
98. C₄₁×#485	C₂²	semidirect
99. C₄₁×#483	C₂²	semidirect
103. C₄₁×#481	C₂²	semidirect
104. C₄₁×#479	C₂²	semidirect
105. C₄₁×#479	C₂²	semidirect
106. C₄₁×#479	C₂²	semidirect
107. C₄₁×#478	C₂²	semidirect
108. C₄₁×#477	C₂²	semidirect
111. C₄₁×#475	C₂²	semidirect
112. C₄₁×#475	C₂²	semidirect
113. C₄₁×#475	C₂²	semidirect
119. C₄₁×#468	C₂²	semidirect
121. C₄₁×#467	C₂²	semidirect
122. C₄₁×#467	C₂²	semidirect
123. C₄₁×#467	C₂²	semidirect
131. C₄₁×#464	C₂²	semidirect
136. C₄₁×#462	C₂²	semidirect
137. C₄₁×#462	C₂²	semidirect
138. C₄₁×#462	C₂²	semidirect
143. C₄₁×#452	C₂²	semidirect
146. C₄₁×#451	C₂²	semidirect
152. C₄₁×#446	C₂²	semidirect
153. C₄₁×#446	C₂²	semidirect
156. C₄₁×#441	C₂²	semidirect
157. C₄₁×#441	C₂²	semidirect
158. C₄₁×#441	C₂²	semidirect
159. C₄₁×#441	C₂²	semidirect
160. C₄₁×#441	C₂²	semidirect
168. C₄₁×#440	C₂²	semidirect
169. C₄₁×#440	C₂²	semidirect
170. C₄×Q₁₆×C₄₁	C₂²	semidirect
171. C₄×Q₁₆×C₄₁	C₂²	semidirect
172. C₄×Q₁₆×C₄₁	C₂²	semidirect
173. C₄×Q₁₆×C₄₁	C₂²	semidirect
180. C₄×SD₁₆×C₄₁	C₂²	semidirect
185. C₄₁×#435	C₂²	semidirect
187. C₈×D₄×C₄₁	C₂²	semidirect
189. C₄₁×#433	C₂²	semidirect
190. C₄₁×#431	C₂²	semidirect
191. C₄₁×#428	C₂²	semidirect
193. C₄₁×#427	C₂²	semidirect
198. C₄₁×#416	C₂²	semidirect
199. C₂×#103×C₄₁	C₂²	semidirect
201. C₄₁×#405	C₂²	semidirect
202. C₂×#97×C₄₁	C₂²	semidirect
784. #61528	C₄₁	direct (N × H)
831. #3521	C₂×C₄₁	semidirect
832. #3518	C₂×C₄₁	semidirect
833. #3402	C₂×C₄₁	semidirect
834. #3385	C₂×C₄₁	semidirect
835. #3376	C₂×C₄₁	semidirect
836. #3369	C₂×C₄₁	semidirect
837. #3350	C₂×C₄₁	semidirect
838. #3348	C₂×C₄₁	semidirect
839. #3342	C₂×C₄₁	semidirect
840. #3319	C₂×C₄₁	semidirect
841. #3313	C₂×C₄₁	semidirect
842. #3312	C₂×C₄₁	semidirect
843. #3311	C₂×C₄₁	semidirect
844. #3302	C₂×C₄₁	semidirect
845. #3301	C₂×C₄₁	semidirect
846. #3282	C₂×C₄₁	semidirect
847. #3269	C₂×C₄₁	semidirect
848. #3266	C₂×C₄₁	semidirect
849. #3181	C₂×C₄₁	semidirect
850. #3178	C₂×C₄₁	semidirect
851. #3175	C₂×C₄₁	semidirect
852. #3127	C₂×C₄₁	semidirect
853. #3125	C₂×C₄₁	semidirect
854. #3121	C₂×C₄₁	semidirect
855. #3118	C₂×C₄₁	semidirect
856. #3107	C₂×C₄₁	semidirect
857. #3102	C₂×C₄₁	semidirect
858. #2968	C₂×C₄₁	semidirect
859. #2949	C₂×C₄₁	semidirect
860. #2947	C₂×C₄₁	semidirect
861. #2943	C₂×C₄₁	semidirect
874. Q₈²	C₂²×C₄₁	semidirect
881. #556	C₂²×C₄₁	semidirect
882. #556	C₂²×C₄₁	semidirect
894. #548	C₂²×C₄₁	semidirect
902. #542	C₂²×C₄₁	semidirect
907. #533	C₂²×C₄₁	semidirect
915. #519	C₂²×C₄₁	semidirect
918. C₄×#41	C₂²×C₄₁	semidirect
919. #501	C₂²×C₄₁	semidirect
920. #501	C₂²×C₄₁	semidirect
921. #500	C₂²×C₄₁	semidirect
923. #497	C₂²×C₄₁	semidirect
925. #491	C₂²×C₄₁	semidirect
928. #489	C₂²×C₄₁	semidirect
929. #488	C₂²×C₄₁	semidirect
930. #487	C₂²×C₄₁	semidirect
934. #485	C₂²×C₄₁	semidirect
935. #485	C₂²×C₄₁	semidirect
936. #485	C₂²×C₄₁	semidirect
937. #485	C₂²×C₄₁	semidirect
938. #483	C₂²×C₄₁	semidirect
942. #481	C₂²×C₄₁	semidirect
943. #479	C₂²×C₄₁	semidirect
944. #479	C₂²×C₄₁	semidirect
945. #479	C₂²×C₄₁	semidirect
946. #478	C₂²×C₄₁	semidirect
947. #477	C₂²×C₄₁	semidirect
950. #475	C₂²×C₄₁	semidirect
951. #475	C₂²×C₄₁	semidirect
952. #475	C₂²×C₄₁	semidirect
958. #468	C₂²×C₄₁	semidirect
960. #467	C₂²×C₄₁	semidirect
961. #467	C₂²×C₄₁	semidirect
962. #467	C₂²×C₄₁	semidirect
970. #464	C₂²×C₄₁	semidirect
975. #462	C₂²×C₄₁	semidirect
976. #462	C₂²×C₄₁	semidirect
977. #462	C₂²×C₄₁	semidirect
982. #452	C₂²×C₄₁	semidirect
985. #451	C₂²×C₄₁	semidirect
991. #446	C₂²×C₄₁	semidirect
992. #446	C₂²×C₄₁	semidirect
995. #441	C₂²×C₄₁	semidirect
996. #441	C₂²×C₄₁	semidirect
997. #441	C₂²×C₄₁	semidirect
998. #441	C₂²×C₄₁	semidirect
999. #441	C₂²×C₄₁	semidirect
1007. #440	C₂²×C₄₁	semidirect
1008. #440	C₂²×C₄₁	semidirect
1009. C₄×Q₁₆	C₂²×C₄₁	semidirect
1010. C₄×Q₁₆	C₂²×C₄₁	semidirect
1011. C₄×Q₁₆	C₂²×C₄₁	semidirect
1012. C₄×Q₁₆	C₂²×C₄₁	semidirect
1019. C₄×SD₁₆	C₂²×C₄₁	semidirect
1024. #435	C₂²×C₄₁	semidirect
1026. C₈×D₄	C₂²×C₄₁	semidirect
1028. #433	C₂²×C₄₁	semidirect
1029. #431	C₂²×C₄₁	semidirect
1030. #428	C₂²×C₄₁	semidirect
1032. #427	C₂²×C₄₁	semidirect
1037. #416	C₂²×C₄₁	semidirect
1038. C₂×#103	C₂²×C₄₁	semidirect
1040. #405	C₂²×C₄₁	semidirect
1041. C₂×#97	C₂²×C₄₁	semidirect
1042. C₄₁	#61528	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×#3521	2
C₄₁×#3518	2
C₄₁×#3402	2
C₄₁×#3385	2
C₄₁×#3376	2
C₄₁×#3369	2
C₄₁×#3350	2
C₄₁×#3348	2
C₄₁×#3342	2
C₄₁×#3319	2
C₄₁×#3313	2
C₄₁×#3312	2
C₄₁×#3311	2
C₄₁×#3302	2
C₄₁×#3301	2
C₄₁×#3282	2
C₄₁×#3269	2
C₄₁×#3266	2
C₄₁×#3181	2
C₄₁×#3178	2
C₄₁×#3175	2
C₄₁×#3127	2
C₄₁×#3125	2
C₄₁×#3121	2
C₄₁×#3118	2
C₄₁×#3107	2
C₄₁×#3102	2
C₄₁×#2968	2
C₄₁×#2949	2
C₄₁×#2947	2
C₄₁×#2943	2
#61528	41

Subgroups — C41×#61528 #23837729

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₄₁×#61528 #23837729