Subgroups — #13007870

Order 1280.

7286 conjugacy classes of subgroups.

The subgroup lattice has 1436 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅×#3455	C₂	1	1	yes	maximal, characteristic, complemented
2	#10618452	C₂	1	4	yes	maximal, complemented
3	#10618451	C₂	1	4	yes	maximal, complemented
4	#10618410	C₂	1	4	yes	maximal, complemented
5	#10618386	C₂	1	4	yes	maximal, complemented
6	#10618354	C₂	1	4	yes	maximal, complemented
7	#10618331	C₂	1	4	yes	maximal, complemented
8	#10618315	C₂	1	4	yes	maximal, complemented
9	#10618291	C₂	1	4	yes	maximal, complemented
10	#10618175	C₂	1	1	yes	maximal, characteristic, complemented
11	#10618158	C₂	1	1	yes	maximal, characteristic, complemented
12	#10618136	C₂	1	1	yes	maximal, characteristic, complemented
13	#10618120	C₂	1	1	yes	maximal, characteristic, complemented
14	#10618052	C₂	1	8	yes	maximal, complemented
15	#10618051	C₂	1	8	yes	maximal, complemented
16	D₅×#525	C₂	1	2	yes	maximal, complemented
17	#10617920	C₂	1	2	yes	maximal, complemented
18	#10617737	C₂	1	2	yes	maximal, complemented
19	#10617735	C₂	1	2	yes	maximal, complemented
20	#10617639	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×D₅×#117	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×D₅×#41	C₂²	1	2	yes	—
23	C₂³×C₄×D₅	C₂²	1	1	yes	characteristic
24	C₅×#542	C₂²	1	4	yes	complemented
25	C₅×#541	C₂²	1	2	yes	complemented
26	C₅×#540	C₂²	1	2	yes	complemented
27	C₅×#539	C₂²	1	4	yes	complemented
28	C₅×#538	C₂²	1	4	yes	complemented
29	C₅×#533	C₂²	1	1	yes	characteristic, complemented
30	C₅×#532	C₂²	1	1	yes	characteristic, complemented
31	C₅×#529	C₂²	1	8	yes	complemented
32	C₅×#525	C₂²	1	2	yes	complemented
33	C₄×C₅×#41	C₂²	1	2	yes	complemented
34	C₂×C₅×#117	C₂²	1	1	yes	characteristic, complemented
35	#66166	C₂²	1	2	yes	complemented
36	#66162	C₂²	1	2	yes	complemented
37	#41×Dic₅	C₂²	1	2	yes	complemented
38	#66125	C₂²	1	2	yes	complemented
39	C₂×#4072	C₂²	1	1	yes	characteristic, complemented
40	#66063	C₂²	1	4	yes	complemented
41	#66062	C₂²	1	2	yes	complemented
42	#66062	C₂²	1	2	yes	complemented
43	#66059	C₂²	1	2	yes	complemented
44	#66058	C₂²	1	2	yes	complemented
45	#66050	C₂²	1	2	yes	complemented
46	#66049	C₂²	1	2	yes	complemented
47	#66043	C₂²	1	8	yes	complemented
48	#66042	C₂²	1	8	yes	complemented
49	#66042	C₂²	1	8	yes	complemented
50	#66042	C₂²	1	8	yes	complemented
51	#66039	C₂²	1	8	yes	complemented
52	#66039	C₂²	1	8	yes	complemented
53	#66039	C₂²	1	8	yes	complemented
54	#66036	C₂²	1	8	yes	complemented
55	#66028	C₂²	1	8	yes	complemented
56	#66027	C₂²	1	8	yes	complemented
57	#66027	C₂²	1	8	yes	complemented
58	#66025	C₂²	1	4	yes	complemented
59	#66024	C₂²	1	8	yes	complemented
60	#66023	C₂²	1	4	yes	complemented
61	#66014	C₂²	1	4	yes	complemented
62	#66013	C₂²	1	8	yes	complemented
63	#66010	C₂²	1	8	yes	complemented
64	#66009	C₂²	1	2	yes	complemented
65	#66008	C₂²	1	2	yes	complemented
66	#66005	C₂²	1	8	yes	complemented
67	#66004	C₂²	1	8	yes	complemented
68	#65999	C₂²	1	8	yes	complemented
69	#65995	C₂²	1	8	yes	complemented
70	#65995	C₂²	1	8	yes	complemented
71	#65993	C₂²	1	8	yes	complemented
72	#65993	C₂²	1	8	yes	complemented
73	#65992	C₂²	1	8	yes	complemented
74	#65990	C₂²	1	4	yes	complemented
75	#65989	C₂²	1	8	yes	complemented
76	#65988	C₂²	1	8	yes	complemented
77	D₅×#123	C₂²	1	4	yes	—
78	#65984	C₂²	1	8	yes	complemented
79	#65977	C₂²	1	4	yes	complemented
80	#65973	C₂²	1	8	yes	complemented
81	#65971	C₂²	1	8	yes	complemented
82	#65970	C₂²	1	8	yes	complemented
83	#65968	C₂²	1	4	yes	—
84	#65965	C₂²	1	8	yes	complemented
85	#65961	C₂²	1	4	yes	—
86	#65961	C₂²	1	4	yes	complemented
87	D₅×C₂²⋊Q₈	C₂²	1	4	yes	complemented
88	#65959	C₂²	1	4	yes	complemented
89	#65958	C₂²	1	4	yes	complemented
90	#65957	C₂²	1	4	yes	complemented
91	#65953	C₂²	1	4	yes	complemented
92	#65950	C₂²	1	8	yes	complemented
93	#65946	C₂²	1	8	yes	complemented
94	#65944	C₂²	1	8	yes	complemented
95	#65940	C₂²	1	4	yes	—
96	#65940	C₂²	1	4	yes	complemented
97	#65939	C₂²	1	4	yes	—
98	D₅×#121	C₂²	1	4	yes	complemented
99	#65937	C₂²	1	4	yes	complemented
100	#65935	C₂²	1	8	yes	complemented
101	#65934	C₂²	1	4	yes	complemented
102	#65931	C₂²	1	4	yes	complemented
103	#65927	C₂²	1	8	yes	complemented
104	D₅×#120	C₂²	1	4	yes	—
105	#65920	C₂²	1	4	yes	complemented
106	#65914	C₂²	1	4	yes	complemented
107	#65914	C₂²	1	4	yes	complemented
108	#65912	C₂²	1	4	yes	complemented
109	#65912	C₂²	1	8	yes	complemented
110	#65908	C₂²	1	4	yes	complemented
111	C₄×#713	C₂²	1	4	yes	complemented
112	#65906	C₂²	1	4	yes	complemented
113	#65891	C₂²	1	8	yes	complemented
114	#65891	C₂²	1	4	yes	complemented
115	#65891	C₂²	1	4	yes	complemented
116	#65882	C₂²	1	4	yes	complemented
117	#65881	C₂²	1	8	yes	—
118	#65881	C₂²	1	8	yes	complemented
119	#65881	C₂²	1	8	yes	complemented
120	#65880	C₂²	1	8	yes	complemented
121	#65880	C₂²	1	4	yes	complemented
122	#65879	C₂²	1	8	yes	—
123	#65879	C₂²	1	4	yes	complemented
124	C₄×D₄×D₅	C₂²	1	8	yes	complemented
125	#65872	C₂²	1	8	yes	complemented
126	#65872	C₂²	1	8	yes	complemented
127	C₄×#711	C₂²	1	4	yes	complemented
128	#65869	C₂²	1	2	yes	complemented
129	#65868	C₂²	1	4	yes	complemented
130	#65862	C₂²	1	8	yes	complemented
131	#65862	C₂²	1	8	yes	complemented
132	#65858	C₂²	1	2	yes	complemented
133	#65856	C₂²	1	2	yes	complemented
134	#65856	C₂²	1	4	yes	complemented
135	D₅×#117	C₂²	1	2	yes	—
136	D₅×#117	C₂²	1	4	yes	complemented
137	D₅×#117	C₂²	1	4	yes	complemented
138	D₅×#117	C₂²	1	4	yes	complemented
139	D₅×#117	C₂²	1	4	yes	complemented
140	D₅×#117	C₂²	1	4	yes	complemented
141	#65852	C₂²	1	2	yes	complemented
142	#65851	C₂²	1	2	yes	complemented
143	#65849	C₂²	1	4	yes	complemented
144	C₂×#4038	C₂²	1	2	yes	—
145	C₂×D₅×C₄⋊C₄	C₂²	1	2	yes	complemented
146	#65828	C₂²	1	4	yes	complemented
147	C₂×D₅×C₂²⋊C₄	C₂²	1	2	yes	—
148	C₂×#4023	C₂²	1	2	yes	complemented
149	#65811	C₂²	1	1	yes	characteristic, complemented
150	C₄×#709	C₂²	1	2	yes	complemented
151	C₄×#709	C₂²	1	4	yes	complemented
152	C₄×#709	C₂²	1	8	yes	complemented
153	C₂×#4018	C₂²	1	1	yes	characteristic
154	C₂×#4018	C₂²	1	1	yes	characteristic
155	C₂×#4018	C₂²	1	4	yes	complemented
156	C₂×C₄²×D₅	C₂²	1	1	yes	characteristic, complemented
157	C₂×C₄²×D₅	C₂²	1	1	yes	characteristic, complemented
158	#65804	C₂²	1	1	yes	characteristic, complemented
159	#62814	—	5	1	no	maximal, Sylow
160	C₂⁴×D₅	C₂³	1	1	yes	characteristic
161	C₂×C₅×#41	C₂³	1	2	yes	—
162	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
163	C₂³×Dic₅	C₂³	1	1	yes	characteristic
164	D₅×#41	—	2	16	no	—
165	C₂×#713	C₂³	1	2	yes	—
166	C₂×#713	C₂³	1	4	yes	—
167	C₂×Q₈×D₅	C₂³	1	2	yes	—
168	C₂×#711	C₂³	1	2	yes	—
169	C₂×#711	C₂³	1	4	yes	—
170	C₂×#711	C₂³	1	4	yes	—
171	C₂×D₄×D₅	C₂³	1	2	yes	—
172	C₂×D₄×D₅	C₂³	1	4	yes	—
173	C₂×D₄×D₅	C₂³	1	8	yes	—
174	C₂×#709	C₂³	1	2	yes	—
175	C₂×#709	C₂³	1	4	yes	—
176	C₂×#709	C₂³	1	8	yes	—
177	C₂²×C₄×D₅	—	2	8	no	—
178	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
179	C₂²×C₄×D₅	C₂³	1	4	yes	—
180	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
181	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
182	C₂²×C₄×D₅	C₂³	1	4	yes	—
183	C₂²×C₄×D₅	C₂³	1	4	yes	—
184	C₂²×C₄×D₅	C₂³	1	2	yes	—
185	C₂²×C₄×D₅	C₂³	1	2	yes	—
186	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
187	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic, complemented
188	C₅×C₄⋊Q₈	C₂³	1	2	yes	complemented
189	C₅×#127	C₂³	1	1	yes	characteristic, complemented
190	C₅×#126	C₂³	1	8	yes	—
191	C₅×#126	C₂³	1	8	yes	complemented
192	C₅×#125	C₂³	1	8	yes	complemented
193	C₅×#125	C₂³	1	2	yes	complemented
194	C₅×#124	C₂³	1	8	yes	—
195	C₅×#124	C₂³	1	2	yes	complemented
196	C₅×#123	C₂³	1	4	yes	—
197	C₅×#123	C₂³	1	8	yes	—
198	C₅×#123	C₂³	1	8	yes	complemented
199	C₅×C₂²⋊Q₈	C₂³	1	4	yes	—
200	C₅×C₂²⋊Q₈	C₂³	1	4	yes	—
201	C₅×C₂²⋊Q₈	C₂³	1	8	yes	complemented
202	C₅×#121	C₂³	1	4	yes	—
203	C₅×#121	C₂³	1	4	yes	—
204	C₅×#121	C₂³	1	8	yes	—
205	C₅×#120	C₂³	1	4	yes	—
206	C₄×C₅×Q₈	C₂³	1	4	yes	complemented
207	C₄×C₅×Q₈	C₂³	1	4	yes	complemented
208	C₄×C₅×D₄	C₂³	1	8	yes	—
209	C₄×C₅×D₄	C₂³	1	8	yes	—
210	C₄×C₅×D₄	C₂³	1	4	yes	complemented
211	C₄×C₅×D₄	C₂³	1	4	yes	complemented
212	C₅×#117	C₂³	1	2	yes	—
213	C₅×#117	C₂³	1	2	yes	—
214	C₅×#117	C₂³	1	4	yes	—
215	C₅×#117	C₂³	1	2	yes	—
216	C₅×#117	C₂³	1	4	yes	complemented
217	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
218	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
219	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
220	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
221	C₂×C₄²×C₅	C₂³	1	4	yes	complemented
222	#4099	C₂³	1	4	yes	—
223	C₂×C₂²⋊Dic₅	C₂³	1	2	yes	—
224	#4093	C₂³	1	2	yes	complemented
225	#4093	C₂³	1	4	yes	complemented
226	#4092	C₂³	1	4	yes	—
227	#4092	C₂³	1	4	yes	—
228	#4092	C₂³	1	8	yes	—
229	Q₈×Dic₅	C₂³	1	4	yes	complemented
230	Q₈×Dic₅	C₂³	1	4	yes	complemented
231	#4090	C₂³	1	2	yes	complemented
232	#4090	C₂³	1	8	yes	complemented
233	#4086	C₂³	1	2	yes	complemented
234	#4085	C₂³	1	8	yes	—
235	#4085	C₂³	1	8	yes	—
236	#4085	C₂³	1	8	yes	—
237	#4085	C₂³	1	8	yes	complemented
238	#4084	C₂³	1	4	yes	—
239	#4084	C₂³	1	4	yes	—
240	#4084	C₂³	1	8	yes	—
241	#4083	C₂³	1	8	yes	—
242	#4083	C₂³	1	8	yes	—
243	#4083	C₂³	1	4	yes	—
244	#4082	C₂³	1	8	yes	—
245	#4082	C₂³	1	2	yes	complemented
246	#4082	C₂³	1	4	yes	complemented
247	#4081	C₂³	1	4	yes	—
248	#4081	C₂³	1	8	yes	—
249	D₄×Dic₅	C₂³	1	8	yes	—
250	D₄×Dic₅	C₂³	1	8	yes	—
251	D₄×Dic₅	C₂³	1	4	yes	complemented
252	D₄×Dic₅	C₂³	1	4	yes	complemented
253	#4076	C₂³	1	4	yes	—
254	#4076	C₂³	1	4	yes	—
255	#4075	C₂³	1	4	yes	—
256	C₄×C₂²⋊D₅	C₂³	1	8	yes	—
257	C₄×C₂²⋊D₅	C₂³	1	8	yes	—
258	C₄×C₂²⋊D₅	C₂³	1	8	yes	—
259	C₄×C₂²⋊D₅	C₂³	1	8	yes	—
260	C₄×C₂²⋊D₅	C₂³	1	8	yes	—
261	C₄×C₂²⋊D₅	C₂³	1	8	yes	complemented
262	C₄×C₂²⋊D₅	C₂³	1	8	yes	complemented
263	C₄×C₂²⋊D₅	C₂³	1	8	yes	complemented
264	C₂×#685	C₂³	1	2	yes	—
265	C₂×#685	C₂³	1	2	yes	—
266	C₂×#685	C₂³	1	8	yes	—
267	#4072	C₂³	1	2	yes	—
268	#4072	C₂³	1	2	yes	—
269	#4072	C₂³	1	2	yes	—
270	#4072	C₂³	1	4	yes	—
271	#4072	C₂³	1	4	yes	complemented
272	#4072	C₂³	1	8	yes	complemented
273	C₂×C₄⋊Dic₅	C₂³	1	2	yes	—
274	#4070	C₂³	1	4	yes	—
275	#4070	C₂³	1	4	yes	—
276	C₂×#683	C₂³	1	2	yes	—
277	C₂×#683	C₂³	1	2	yes	—
278	C₂×#683	C₂³	1	8	yes	complemented
279	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
280	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
281	C₂×C₄×Dic₅	C₂³	1	2	yes	—
282	C₂×C₄×Dic₅	C₂³	1	2	yes	—
283	C₂×C₄×Dic₅	C₂³	1	4	yes	complemented
284	#4044	C₂³	1	8	yes	complemented
285	#4044	C₂³	1	8	yes	complemented
286	#4044	C₂³	1	8	yes	complemented
287	#4044	C₂³	1	8	yes	complemented
288	#4043	C₂³	1	4	yes	—
289	#4043	C₂³	1	4	yes	—
290	#4043	C₂³	1	8	yes	—
291	#4043	C₂³	1	8	yes	complemented
292	#4042	C₂³	1	8	yes	—
293	#4042	C₂³	1	8	yes	—
294	#4042	C₂³	1	8	yes	—
295	#4042	C₂³	1	8	yes	—
296	#4042	C₂³	1	8	yes	complemented
297	#4042	C₂³	1	8	yes	complemented
298	#4041	C₂³	1	4	yes	—
299	#4041	C₂³	1	4	yes	—
300	#4040	C₂³	1	8	yes	—
301	#4040	C₂³	1	8	yes	—
302	#4040	C₂³	1	8	yes	—
303	#4040	C₂³	1	8	yes	—
304	#4040	C₂³	1	8	yes	complemented
305	#4039	C₂³	1	8	yes	—
306	#4039	C₂³	1	8	yes	—
307	#4039	C₂³	1	8	yes	—
308	#4039	C₂³	1	4	yes	complemented
309	#4039	C₂³	1	4	yes	complemented
310	#4038	C₂³	1	4	yes	—
311	#4038	C₂³	1	4	yes	—
312	#4038	C₂³	1	4	yes	—
313	#4038	C₂³	1	4	yes	—
314	#4038	C₂³	1	4	yes	—
315	#4038	C₂³	1	4	yes	—
316	#4038	C₂³	1	4	yes	—
317	#4038	C₂³	1	8	yes	—
318	#4038	C₂³	1	8	yes	complemented
319	D₅×C₄⋊C₄	C₂³	1	4	yes	—
320	D₅×C₄⋊C₄	C₂³	1	4	yes	—
321	D₅×C₄⋊C₄	C₂³	1	4	yes	—
322	D₅×C₄⋊C₄	C₂³	1	4	yes	—
323	D₅×C₄⋊C₄	C₂³	1	4	yes	—
324	D₅×C₄⋊C₄	C₂³	1	8	yes	—
325	D₅×C₄⋊C₄	C₂³	1	8	yes	complemented
326	#4036	C₂³	1	4	yes	complemented
327	#4036	C₂³	1	4	yes	complemented
328	#4036	C₂³	1	4	yes	complemented
329	#4036	C₂³	1	8	yes	complemented
330	#4035	C₂³	1	8	yes	complemented
331	#4035	C₂³	1	8	yes	complemented
332	#4035	C₂³	1	8	yes	complemented
333	#4035	C₂³	1	8	yes	complemented
334	#4035	C₂³	1	8	yes	complemented
335	#4034	C₂³	1	4	yes	complemented
336	#4034	C₂³	1	8	yes	complemented
337	#4033	C₂³	1	4	yes	complemented
338	#4033	C₂³	1	4	yes	complemented
339	#4033	C₂³	1	8	yes	complemented
340	#4032	C₂³	1	4	yes	—
341	#4032	C₂³	1	8	yes	complemented
342	#4031	C₂³	1	8	yes	—
343	#4031	C₂³	1	8	yes	—
344	#4031	C₂³	1	8	yes	complemented
345	#4030	C₂³	1	8	yes	—
346	#4030	C₂³	1	8	yes	—
347	#4030	C₂³	1	8	yes	—
348	#4030	C₂³	1	8	yes	complemented
349	#4029	C₂³	1	8	yes	—
350	#4029	C₂³	1	8	yes	—
351	#4029	C₂³	1	8	yes	—
352	#4029	C₂³	1	8	yes	—
353	#4029	C₂³	1	8	yes	—
354	#4029	C₂³	1	8	yes	—
355	#4029	C₂³	1	8	yes	complemented
356	#4028	C₂³	1	4	yes	—
357	#4028	C₂³	1	8	yes	—
358	#4028	C₂³	1	8	yes	—
359	#4027	C₂³	1	8	yes	—
360	#4027	C₂³	1	8	yes	—
361	#4027	C₂³	1	8	yes	—
362	#4027	C₂³	1	8	yes	—
363	#4027	C₂³	1	8	yes	—
364	#4027	C₂³	1	8	yes	complemented
365	D₅×C₂²⋊C₄	C₂³	1	4	yes	—
366	D₅×C₂²⋊C₄	C₂³	1	4	yes	—
367	D₅×C₂²⋊C₄	C₂³	1	4	yes	—
368	D₅×C₂²⋊C₄	C₂³	1	4	yes	—
369	D₅×C₂²⋊C₄	C₂³	1	4	yes	—
370	D₅×C₂²⋊C₄	C₂³	1	8	yes	—
371	D₅×C₂²⋊C₄	C₂³	1	8	yes	—
372	D₅×C₂²⋊C₄	C₂³	1	8	yes	—
373	#4025	C₂³	1	8	yes	—
374	#4025	C₂³	1	8	yes	—
375	#4025	C₂³	1	8	yes	—
376	#4025	C₂³	1	8	yes	complemented
377	#4025	C₂³	1	8	yes	complemented
378	#4025	C₂³	1	8	yes	complemented
379	#4024	C₂³	1	8	yes	—
380	#4024	C₂³	1	8	yes	—
381	#4024	C₂³	1	8	yes	complemented
382	#4024	C₂³	1	8	yes	complemented
383	#4023	C₂³	1	4	yes	—
384	#4023	C₂³	1	4	yes	—
385	#4023	C₂³	1	4	yes	—
386	#4023	C₂³	1	4	yes	—
387	#4023	C₂³	1	4	yes	—
388	#4023	C₂³	1	8	yes	complemented
389	#4023	C₂³	1	8	yes	complemented
390	#4021	C₂³	1	2	yes	complemented
391	#4020	C₂³	1	1	yes	characteristic, complemented
392	C₄×D₂₀	C₂³	1	8	yes	—
393	C₄×D₂₀	C₂³	1	8	yes	—
394	C₄×D₂₀	C₂³	1	8	yes	—
395	C₄×D₂₀	C₂³	1	4	yes	complemented
396	C₄×D₂₀	C₂³	1	4	yes	complemented
397	#4018	C₂³	1	2	yes	—
398	#4018	C₂³	1	2	yes	—
399	#4018	C₂³	1	2	yes	—
400	#4018	C₂³	1	2	yes	—
401	#4018	C₂³	1	4	yes	—
402	#4018	C₂³	1	4	yes	—
403	#4018	C₂³	1	4	yes	—
404	#4018	C₂³	1	8	yes	—
405	#4018	C₂³	1	8	yes	—
406	#4018	C₂³	1	4	yes	complemented
407	#4018	C₂³	1	4	yes	complemented
408	#4018	C₂³	1	8	yes	complemented
409	#4018	C₂³	1	8	yes	complemented
410	C₄²×D₅	C₂³	1	2	yes	—
411	C₄²×D₅	C₂³	1	2	yes	—
412	C₄²×D₅	C₂³	1	4	yes	—
413	C₄²×D₅	C₂³	1	2	yes	—
414	C₄²×D₅	C₂³	1	4	yes	—
415	C₄²×D₅	C₂³	1	2	yes	—
416	C₄²×D₅	C₂³	1	4	yes	—
417	C₄²×D₅	C₂³	1	4	yes	complemented
418	C₄²×D₅	C₂³	1	4	yes	complemented
419	#4016	C₂³	1	2	yes	complemented
420	#4015	C₂³	1	2	yes	complemented
421	#4015	C₂³	1	1	yes	characteristic, complemented
422	C₄×Dic₁₀	C₂³	1	4	yes	complemented
423	C₄×Dic₁₀	C₂³	1	8	yes	complemented
424	C₄×Dic₁₀	C₂³	1	4	yes	complemented
425	C₄×Dic₁₀	C₂³	1	8	yes	complemented
426	C₄×Dic₁₀	C₂³	1	8	yes	complemented
427	#3495	—	5	4	no	—
428	#3495	—	5	4	no	—
429	#3494	—	5	4	no	—
430	#3494	—	5	4	no	—
431	#3493	—	5	4	no	—
432	#3492	—	5	4	no	—
433	#3491	—	5	4	no	—
434	#3490	—	5	4	no	—
435	#3475	—	5	8	no	—
436	#3475	—	5	8	no	—
437	#3458	—	5	1	no	—
438	#3455	—	5	2	no	—
439	#3455	—	5	1	no	—
440	#3455	D₅	1	1	yes	characteristic, complemented
441	#3449	—	5	1	no	—
442	#3444	—	5	1	no	—
443	#3444	—	5	1	no	—
444	#3444	—	5	2	no	—
445	C₂×#525	—	5	2	no	—
446	#3428	—	5	2	no	—
447	C₂²×#117	—	5	1	no	—
448	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
449	C₂³×D₅	—	2	4	no	—
450	C₂³×D₅	—	4	4	no	—
451	C₂³×D₅	C₂⁴	1	1	yes	characteristic
452	C₂³×D₅	C₂⁴	1	4	yes	—
453	C₂³×D₅	C₂⁴	1	4	yes	—
454	C₂³×D₅	C₂⁴	1	1	yes	characteristic
455	C₅×#41	—	2	8	no	—
456	C₂×C₅×Q₈	C₂⁴	1	2	yes	—
457	C₂×C₅×Q₈	C₂⁴	1	4	yes	—
458	C₂×C₅×D₄	C₂⁴	1	4	yes	—
459	C₂×C₅×D₄	C₂⁴	1	2	yes	—
460	C₂×C₅×D₄	C₂⁴	1	8	yes	—
461	C₂×C₅×D₄	C₂⁴	1	4	yes	—
462	C₂²×C₄×C₅	—	2	4	no	—
463	C₂²×C₄×C₅	C₂⁴	1	4	yes	—
464	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
465	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
466	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
467	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
468	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
469	C₂²×C₄×C₅	C₂⁴	1	8	yes	—
470	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
471	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
472	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
473	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
474	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
475	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
476	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
477	C₂²×Dic₅	—	2	4	no	—
478	C₂²×Dic₅	C₂⁴	1	4	yes	—
479	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
480	C₂²×Dic₅	C₂⁴	1	4	yes	—
481	C₂²×Dic₅	C₂⁴	1	2	yes	—
482	C₂²×Dic₅	C₂⁴	1	2	yes	—
483	C₂²×Dic₅	C₂⁴	1	8	yes	—
484	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
485	#713	—	2	8	no	—
486	#713	—	4	8	no	—
487	Q₈×D₅	—	2	8	no	—
488	#711	—	2	16	no	—
489	#711	—	2	8	no	—
490	#711	—	4	8	no	—
491	D₄×D₅	—	2	16	no	—
492	D₄×D₅	—	2	8	no	—
493	D₄×D₅	—	4	16	no	—
494	#709	—	2	8	no	—
495	#709	—	2	16	no	—
496	#709	—	4	16	no	—
497	C₂×D₂₀	C₂⁴	1	4	yes	—
498	C₂×D₂₀	C₂⁴	1	8	yes	—
499	C₂×D₂₀	C₂⁴	1	2	yes	—
500	C₂×D₂₀	C₂⁴	1	4	yes	—
501	C₂×C₄×D₅	—	2	4	no	—
502	C₂×C₄×D₅	—	2	4	no	—
503	C₂×C₄×D₅	—	2	4	no	—
504	C₂×C₄×D₅	—	2	16	no	—
505	C₂×C₄×D₅	—	2	16	no	—
506	C₂×C₄×D₅	—	2	16	no	—
507	C₂×C₄×D₅	—	4	4	no	—
508	C₂×C₄×D₅	—	4	4	no	—
509	C₂×C₄×D₅	#41	1	8	yes	complemented
510	C₂×C₄×D₅	C₂⁴	1	2	yes	—
511	C₂×C₄×D₅	C₂⁴	1	2	yes	—
512	C₂×C₄×D₅	C₂⁴	1	4	yes	—
513	C₂×C₄×D₅	C₂⁴	1	4	yes	—
514	C₂×C₄×D₅	C₂⁴	1	4	yes	—
515	C₂×C₄×D₅	C₂⁴	1	4	yes	—
516	C₂×C₄×D₅	C₂⁴	1	4	yes	—
517	C₂×C₄×D₅	C₂⁴	1	2	yes	—
518	C₂×C₄×D₅	C₂⁴	1	4	yes	—
519	C₂×C₄×D₅	C₂⁴	1	2	yes	—
520	C₂×C₄×D₅	C₂⁴	1	4	yes	—
521	C₂×C₄×D₅	C₂⁴	1	2	yes	—
522	C₂×C₄×D₅	C₂⁴	1	2	yes	—
523	C₂×C₄×D₅	C₂⁴	1	8	yes	—
524	C₂×C₄×D₅	C₂⁴	1	8	yes	—
525	C₂×C₄×D₅	C₂⁴	1	8	yes	—
526	C₂×C₄×D₅	C₂⁴	1	2	yes	—
527	C₂×C₄×D₅	C₂⁴	1	2	yes	—
528	C₂×Dic₁₀	C₂⁴	1	2	yes	—
529	C₂×Dic₁₀	C₂⁴	1	4	yes	—
530	C₂×Dic₁₀	C₂⁴	1	8	yes	—
531	C₂×Dic₁₀	C₂⁴	1	4	yes	—
532	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
533	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
534	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
535	C₅×C₄⋊C₄	C₂⁴	1	8	yes	—
536	C₅×C₄⋊C₄	C₂⁴	1	8	yes	—
537	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
538	C₅×C₄⋊C₄	C₂⁴	1	8	yes	—
539	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
540	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
541	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
542	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
543	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
544	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
545	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
546	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
547	C₄²×C₅	C₂⁴	1	2	yes	—
548	C₄²×C₅	C₂⁴	1	2	yes	—
549	C₄²×C₅	C₂⁴	1	2	yes	—
550	C₄²×C₅	C₂⁴	1	1	yes	characteristic
551	C₄²×C₅	C₂⁴	1	1	yes	characteristic
552	C₄²×C₅	C₂⁴	1	4	yes	—
553	C₄²×C₅	C₂⁴	1	8	yes	—
554	C₂²⋊Dic₅	C₂⁴	1	4	yes	—
555	C₂²⋊Dic₅	C₂⁴	1	4	yes	—
556	C₂²⋊Dic₅	C₂⁴	1	4	yes	—
557	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
558	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
559	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
560	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
561	#685	C₂⁴	1	4	yes	—
562	#685	C₂⁴	1	4	yes	—
563	#685	C₂⁴	1	4	yes	—
564	#685	C₂⁴	1	8	yes	—
565	#685	C₂⁴	1	4	yes	—
566	#685	C₂⁴	1	8	yes	—
567	#685	C₂⁴	1	8	yes	—
568	#685	C₂⁴	1	8	yes	—
569	#685	C₂⁴	1	8	yes	—
570	#685	C₂⁴	1	8	yes	—
571	#685	C₂⁴	1	8	yes	—
572	#685	C₂⁴	1	8	yes	—
573	#685	C₂⁴	1	8	yes	—
574	C₄⋊Dic₅	C₂⁴	1	4	yes	—
575	C₄⋊Dic₅	C₂⁴	1	4	yes	—
576	C₄⋊Dic₅	C₂⁴	1	8	yes	—
577	C₄⋊Dic₅	C₂⁴	1	8	yes	—
578	C₄⋊Dic₅	C₂⁴	1	8	yes	—
579	C₄⋊Dic₅	C₂⁴	1	4	yes	—
580	C₄⋊Dic₅	C₂⁴	1	4	yes	—
581	C₄⋊Dic₅	C₂⁴	1	4	yes	—
582	#683	C₂⁴	1	4	yes	—
583	#683	C₂⁴	1	8	yes	—
584	#683	C₂⁴	1	8	yes	—
585	#683	C₂⁴	1	8	yes	—
586	#683	C₂⁴	1	8	yes	—
587	#683	C₂⁴	1	8	yes	—
588	#683	C₂⁴	1	8	yes	—
589	#683	C₂⁴	1	4	yes	—
590	#683	C₂⁴	1	4	yes	—
591	#683	C₂⁴	1	4	yes	—
592	#683	C₂⁴	1	8	yes	—
593	#683	C₂⁴	1	8	yes	—
594	#683	C₂⁴	1	8	yes	—
595	C₄×Dic₅	C₂⁴	1	2	yes	—
596	C₄×Dic₅	C₂⁴	1	4	yes	—
597	C₄×Dic₅	C₂⁴	1	4	yes	—
598	C₄×Dic₅	C₂⁴	1	8	yes	—
599	C₄×Dic₅	C₂⁴	1	8	yes	—
600	C₄×Dic₅	C₂⁴	1	8	yes	—
601	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
602	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
603	C₄×Dic₅	C₂⁴	1	2	yes	—
604	C₄×Dic₅	C₂⁴	1	2	yes	—
605	C₄×Dic₅	C₂⁴	1	4	yes	—
606	C₄×Dic₅	C₂⁴	1	2	yes	—
607	C₄×Dic₅	C₂⁴	1	2	yes	—
608	C₄×Dic₅	C₂⁴	1	2	yes	—
609	C₄×Dic₅	C₂⁴	1	2	yes	—
610	C₄×Dic₅	C₂⁴	1	8	yes	—
611	C₂²×#41	—	5	2	no	—
612	C₂⁴×C₄	—	5	1	no	—
613	#556	—	5	8	no	—
614	#556	—	5	8	no	—
615	#555	—	5	8	no	—
616	#555	—	5	8	no	—
617	#554	—	5	8	no	—
618	#554	—	5	8	no	—
619	#553	—	5	8	no	—
620	#553	—	5	8	no	—
621	#553	—	5	8	no	—
622	#553	—	5	8	no	—
623	#552	—	5	8	no	—
624	#552	—	5	8	no	—
625	#552	—	5	8	no	—
626	#552	—	5	8	no	—
627	#552	—	5	8	no	—
628	#552	—	5	8	no	—
629	#552	—	5	8	no	—
630	#552	—	5	8	no	—
631	#551	—	5	8	no	—
632	#551	—	5	8	no	—
633	#551	—	5	8	no	—
634	#551	—	5	8	no	—
635	#551	—	5	8	no	—
636	#551	—	5	8	no	—
637	#551	—	5	8	no	—
638	#551	—	5	8	no	—
639	#547	—	5	8	no	—
640	#547	—	5	8	no	—
641	#546	—	5	8	no	—
642	#546	—	5	8	no	—
643	#546	—	5	8	no	—
644	#546	—	5	8	no	—
645	#544	—	5	4	no	—
646	#544	—	5	4	no	—
647	#544	—	5	4	no	—
648	#543	—	5	4	no	—
649	#542	—	5	4	no	—
650	#542	—	5	4	no	—
651	#542	—	5	4	no	—
652	#542	C₂×D₅	1	4	yes	complemented
653	#541	—	5	4	no	—
654	#541	—	5	2	no	—
655	#541	C₂×D₅	1	2	yes	complemented
656	#540	—	5	4	no	—
657	#540	—	5	2	no	—
658	#540	C₂×D₅	1	2	yes	complemented
659	#539	—	5	8	no	—
660	#539	—	5	4	no	—
661	#539	C₂×D₅	1	4	yes	complemented
662	#538	—	5	8	no	—
663	#538	—	5	4	no	—
664	#538	C₂×D₅	1	4	yes	complemented
665	#537	—	5	4	no	—
666	#536	—	5	2	no	—
667	#536	—	5	2	no	—
668	#535	—	5	2	no	—
669	#535	—	5	2	no	—
670	#534	—	5	4	no	—
671	#533	—	5	2	no	—
672	#533	—	5	2	no	—
673	#533	—	5	4	no	—
674	#533	—	5	8	no	—
675	#533	—	5	2	no	—
676	#533	—	5	1	no	—
677	#533	C₂×D₅	1	1	yes	characteristic, complemented
678	#532	—	5	2	no	—
679	#532	—	5	2	no	—
680	#532	—	5	2	no	—
681	#532	—	5	4	no	—
682	#532	—	5	1	no	—
683	#532	C₂×D₅	1	1	yes	characteristic, complemented
684	#529	—	5	4	no	—
685	#529	—	5	4	no	—
686	#529	—	5	4	no	—
687	#529	—	5	4	no	—
688	#529	—	5	4	no	—
689	#529	—	5	4	no	—
690	#529	—	5	8	no	—
691	#529	—	5	8	no	—
692	#529	—	5	8	no	—
693	#529	—	5	4	no	—
694	#529	—	5	4	no	—
695	#529	—	5	8	no	—
696	#529	—	5	8	no	—
697	#529	C₂×D₅	1	8	yes	complemented
698	#525	—	5	2	no	—
699	#525	—	5	2	no	—
700	#525	—	5	4	no	—
701	#525	—	5	4	no	—
702	#525	—	5	4	no	—
703	#525	—	5	4	no	—
704	#525	—	5	4	no	—
705	#525	—	5	4	no	—
706	#525	—	5	8	no	—
707	#525	—	5	8	no	—
708	#525	—	5	8	no	—
709	#525	—	5	2	no	—
710	#525	C₂×D₅	1	2	yes	complemented
711	C₂×#123	—	5	4	no	—
712	C₂×C₂²⋊Q₈	—	5	4	no	—
713	C₂×#121	—	5	4	no	—
714	C₂×#120	—	5	4	no	—
715	#520	—	5	4	no	—
716	#520	—	5	8	no	—
717	#520	—	5	4	no	—
718	#519	—	5	4	no	—
719	#518	—	5	8	no	—
720	#518	—	5	4	no	—
721	C₄×#41	—	5	2	no	—
722	C₄×#41	—	5	4	no	—
723	C₄×#41	—	5	4	no	—
724	C₄×#41	—	5	2	no	—
725	C₄×#41	—	5	4	no	—
726	C₄×#41	—	5	2	no	—
727	C₄×#41	—	5	4	no	—
728	C₄×#41	—	5	8	no	—
729	C₄×#41	C₂×D₅	1	2	yes	complemented
730	C₂×C₄×D₄	—	5	8	no	—
731	C₂×#117	—	5	1	no	—
732	C₂×#117	—	5	2	no	—
733	C₂×#117	—	5	4	no	—
734	C₂×#117	—	5	4	no	—
735	C₂×#117	—	5	4	no	—
736	C₂×#117	—	5	4	no	—
737	C₂×#117	—	5	4	no	—
738	C₂×#117	—	5	2	no	—
739	C₂×#117	—	5	2	no	—
740	C₂×#117	—	5	1	no	—
741	C₂×#117	—	5	1	no	—
742	C₂×#117	—	5	4	no	—
743	C₂×#117	C₂×D₅	1	1	yes	characteristic, complemented
744	C₂²×C₄⋊C₄	—	5	2	no	—
745	C₂²×C₂²⋊C₄	—	5	2	no	—
746	C₂²×C₄²	—	5	1	no	—
747	C₂²×C₄²	—	5	1	no	—
748	C₂³×C₅	—	2	2	no	—
749	C₂³×C₅	—	4	2	no	—
750	C₂³×C₅	C₂⁵	1	2	yes	—
751	C₂³×C₅	C₂⁵	1	4	yes	—
752	C₂³×C₅	C₂⁵	1	1	yes	characteristic
753	C₂²×D₅	—	2	2	no	—
754	C₂²×D₅	—	2	4	no	—
755	C₂²×D₅	—	2	8	no	—
756	C₂²×D₅	—	2	8	no	—
757	C₂²×D₅	—	2	8	no	—
758	C₂²×D₅	—	4	4	no	—
759	C₂²×D₅	—	4	2	no	—
760	C₂²×D₅	—	4	8	no	—
761	C₂²×D₅	—	4	16	no	—
762	C₂²×D₅	C₂×#41	1	4	yes	—
763	C₂²×D₅	C₂⁵	1	4	yes	—
764	C₂²×D₅	C₂⁵	1	2	yes	—
765	C₂²×D₅	C₂⁵	1	2	yes	—
766	C₅×Q₈	—	2	4	no	—
767	C₅×Q₈	—	4	4	no	—
768	C₅×D₄	—	2	8	no	—
769	C₅×D₄	—	2	4	no	—
770	C₅×D₄	—	4	8	no	—
771	C₅×D₄	—	4	4	no	—
772	C₂×C₄×C₅	—	2	2	no	—
773	C₂×C₄×C₅	—	2	4	no	—
774	C₂×C₄×C₅	—	2	4	no	—
775	C₂×C₄×C₅	—	2	8	no	—
776	C₂×C₄×C₅	—	4	2	no	—
777	C₂×C₄×C₅	—	4	2	no	—
778	C₂×C₄×C₅	—	4	8	no	—
779	C₂×C₄×C₅	C₂×#41	1	4	yes	—
780	C₂×C₄×C₅	C₂⁵	1	4	yes	—
781	C₂×C₄×C₅	C₂⁵	1	2	yes	—
782	C₂×C₄×C₅	C₂⁵	1	4	yes	—
783	C₂×C₄×C₅	C₂⁵	1	8	yes	—
784	C₂×C₄×C₅	C₂⁵	1	2	yes	—
785	C₂×C₄×C₅	C₂⁵	1	2	yes	—
786	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
787	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
788	C₂²⋊D₅	—	2	8	no	—
789	C₂²⋊D₅	—	2	8	no	—
790	C₂²⋊D₅	—	2	16	no	—
791	C₂²⋊D₅	—	2	8	no	—
792	C₂²⋊D₅	—	4	8	no	—
793	C₂²⋊D₅	—	4	8	no	—
794	C₂×Dic₅	—	2	2	no	—
795	C₂×Dic₅	—	2	8	no	—
796	C₂×Dic₅	—	2	8	no	—
797	C₂×Dic₅	—	4	2	no	—
798	C₂×Dic₅	—	4	2	no	—
799	C₂×Dic₅	—	4	8	no	—
800	C₂×Dic₅	C₂×#41	1	4	yes	—
801	C₂×Dic₅	C₂⁵	1	2	yes	—
802	C₂×Dic₅	C₂⁵	1	2	yes	—
803	C₂×Dic₅	C₂⁵	1	2	yes	—
804	C₂×Dic₅	C₂⁵	1	4	yes	—
805	C₂×Dic₅	C₂⁵	1	4	yes	—
806	C₂×Dic₅	C₂⁵	1	8	yes	—
807	C₂×Dic₅	C₂⁵	1	2	yes	—
808	D₂₀	—	2	8	no	—
809	D₂₀	—	2	16	no	—
810	D₂₀	—	2	4	no	—
811	D₂₀	—	4	4	no	—
812	C₄×D₅	—	2	8	no	—
813	C₄×D₅	—	2	8	no	—
814	C₄×D₅	—	2	8	no	—
815	C₄×D₅	—	2	4	no	—
816	C₄×D₅	—	2	4	no	—
817	C₄×D₅	—	2	4	no	—
818	C₄×D₅	—	2	4	no	—
819	C₄×D₅	—	2	8	no	—
820	C₄×D₅	—	2	8	no	—
821	C₄×D₅	—	2	8	no	—
822	C₄×D₅	—	4	4	no	—
823	C₄×D₅	—	4	2	no	—
824	C₄×D₅	—	4	2	no	—
825	C₄×D₅	—	4	8	no	—
826	C₄×D₅	—	4	8	no	—
827	C₄×D₅	—	4	8	no	—
828	C₄×D₅	C₂×#41	1	8	yes	—
829	C₄×D₅	C₂×#41	1	8	yes	—
830	Dic₁₀	—	2	4	no	—
831	Dic₁₀	—	2	8	no	—
832	Dic₁₀	—	4	8	no	—
833	Dic₁₀	—	4	4	no	—
834	C₂⁵	—	5	1	no	—
835	C₂×#41	—	5	2	no	—
836	C₂×#41	—	5	4	no	—
837	C₂×#41	—	5	2	no	—
838	C₂×#41	—	5	4	no	—
839	C₂×#41	—	5	4	no	—
840	C₂×#41	—	5	4	no	—
841	C₂×#41	—	5	2	no	—
842	C₂×#41	—	5	8	no	—
843	C₂×#41	—	10	16	no	—
844	C₂×#41	C₂²×D₅	1	2	yes	—
845	C₂²×Q₈	—	5	2	no	—
846	C₂²×D₄	—	5	4	no	—
847	C₂²×D₄	—	5	2	no	—
848	C₂²×D₄	—	5	8	no	—
849	C₂³×C₄	—	5	1	no	—
850	C₂³×C₄	—	5	1	no	—
851	C₂³×C₄	—	5	1	no	—
852	C₂³×C₄	—	5	4	no	—
853	C₂³×C₄	—	5	4	no	—
854	C₂³×C₄	—	5	4	no	—
855	C₂³×C₄	—	5	1	no	—
856	C₂³×C₄	—	5	1	no	—
857	C₂³×C₄	—	5	2	no	—
858	C₂³×C₄	—	5	2	no	—
859	C₂³×C₄	—	10	8	no	—
860	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic
861	C₄⋊Q₈	—	5	2	no	—
862	C₄⋊Q₈	—	5	8	no	—
863	C₄⋊Q₈	—	5	4	no	—
864	C₄⋊Q₈	—	5	8	no	—
865	C₄⋊Q₈	—	5	1	no	—
866	C₄⋊Q₈	—	5	2	no	—
867	C₄⋊Q₈	C₂²×D₅	1	2	yes	complemented
868	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic, complemented
869	#127	—	5	2	no	—
870	#127	—	5	1	no	—
871	#127	C₂²×D₅	1	1	yes	characteristic, complemented
872	#126	—	5	8	no	—
873	#126	—	5	8	no	—
874	#126	—	5	8	no	—
875	#126	—	5	8	no	—
876	#126	—	5	8	no	—
877	#126	—	5	8	no	—
878	#126	—	5	8	no	—
879	#126	—	5	8	no	—
880	#126	—	5	8	no	—
881	#126	—	5	8	no	—
882	#126	C₂²×D₅	1	8	yes	—
883	#126	C₂²×D₅	1	8	yes	complemented
884	#125	—	5	4	no	—
885	#125	—	5	8	no	—
886	#125	—	5	4	no	—
887	#125	—	5	4	no	—
888	#125	—	5	8	no	—
889	#125	—	5	8	no	—
890	#125	—	5	8	no	—
891	#125	—	5	8	no	—
892	#125	—	5	8	no	—
893	#125	—	5	2	no	—
894	#125	C₂²×D₅	1	2	yes	complemented
895	#125	C₂²×D₅	1	8	yes	complemented
896	#124	—	5	2	no	—
897	#124	—	5	4	no	—
898	#124	—	5	2	no	—
899	#124	—	5	4	no	—
900	#124	—	5	8	no	—
901	#124	—	5	8	no	—
902	#124	—	5	8	no	—
903	#124	—	5	8	no	—
904	#124	—	5	2	no	—
905	#124	C₂²×D₅	1	8	yes	—
906	#124	C₂²×D₅	1	2	yes	complemented
907	#123	—	5	4	no	—
908	#123	—	5	8	no	—
909	#123	—	5	4	no	—
910	#123	—	5	8	no	—
911	#123	—	5	8	no	—
912	#123	—	5	8	no	—
913	#123	—	5	8	no	—
914	#123	—	5	8	no	—
915	#123	—	5	4	no	—
916	#123	—	5	8	no	—
917	#123	—	5	8	no	—
918	#123	—	5	8	no	—
919	#123	—	5	8	no	—
920	#123	—	5	8	no	—
921	#123	—	5	8	no	—
922	#123	—	5	8	no	—
923	#123	—	5	8	no	—
924	#123	C₂²×D₅	1	4	yes	—
925	#123	C₂²×D₅	1	8	yes	—
926	#123	C₂²×D₅	1	8	yes	complemented
927	C₂²⋊Q₈	—	5	4	no	—
928	C₂²⋊Q₈	—	5	4	no	—
929	C₂²⋊Q₈	—	5	8	no	—
930	C₂²⋊Q₈	—	5	4	no	—
931	C₂²⋊Q₈	—	5	4	no	—
932	C₂²⋊Q₈	—	5	4	no	—
933	C₂²⋊Q₈	—	5	8	no	—
934	C₂²⋊Q₈	—	5	8	no	—
935	C₂²⋊Q₈	—	5	4	no	—
936	C₂²⋊Q₈	—	5	8	no	—
937	C₂²⋊Q₈	—	5	8	no	—
938	C₂²⋊Q₈	—	5	8	no	—
939	C₂²⋊Q₈	—	5	8	no	—
940	C₂²⋊Q₈	—	5	8	no	—
941	C₂²⋊Q₈	—	5	8	no	—
942	C₂²⋊Q₈	—	5	8	no	—
943	C₂²⋊Q₈	—	5	8	no	—
944	C₂²⋊Q₈	—	5	8	no	—
945	C₂²⋊Q₈	—	5	8	no	—
946	C₂²⋊Q₈	C₂²×D₅	1	4	yes	—
947	C₂²⋊Q₈	C₂²×D₅	1	4	yes	—
948	C₂²⋊Q₈	C₂²×D₅	1	8	yes	complemented
949	#121	—	5	4	no	—
950	#121	—	5	8	no	—
951	#121	—	5	8	no	—
952	#121	—	5	4	no	—
953	#121	—	5	8	no	—
954	#121	—	5	8	no	—
955	#121	—	5	8	no	—
956	#121	—	5	4	no	—
957	#121	—	5	4	no	—
958	#121	—	5	4	no	—
959	#121	—	5	4	no	—
960	#121	—	5	8	no	—
961	#121	—	5	8	no	—
962	#121	—	5	8	no	—
963	#121	—	5	8	no	—
964	#121	C₂²×D₅	1	4	yes	—
965	#121	C₂²×D₅	1	4	yes	—
966	#121	C₂²×D₅	1	8	yes	—
967	#120	—	5	4	no	—
968	#120	—	5	4	no	—
969	#120	—	5	8	no	—
970	#120	—	5	8	no	—
971	#120	—	5	4	no	—
972	#120	—	5	8	no	—
973	#120	—	5	8	no	—
974	#120	C₂²×D₅	1	4	yes	—
975	C₄×Q₈	—	5	4	no	—
976	C₄×Q₈	—	5	4	no	—
977	C₄×Q₈	—	5	4	no	—
978	C₄×Q₈	—	5	8	no	—
979	C₄×Q₈	—	5	4	no	—
980	C₄×Q₈	—	5	4	no	—
981	C₄×Q₈	—	5	8	no	—
982	C₄×Q₈	—	5	4	no	—
983	C₄×Q₈	—	5	8	no	—
984	C₄×Q₈	—	5	8	no	—
985	C₄×Q₈	C₂²×D₅	1	4	yes	complemented
986	C₄×Q₈	C₂²×D₅	1	4	yes	complemented
987	C₄×D₄	—	5	8	no	—
988	C₄×D₄	—	5	8	no	—
989	C₄×D₄	—	5	4	no	—
990	C₄×D₄	—	5	4	no	—
991	C₄×D₄	—	5	8	no	—
992	C₄×D₄	—	5	8	no	—
993	C₄×D₄	—	5	8	no	—
994	C₄×D₄	—	5	8	no	—
995	C₄×D₄	—	5	8	no	—
996	C₄×D₄	—	5	8	no	—
997	C₄×D₄	—	5	8	no	—
998	C₄×D₄	—	5	8	no	—
999	C₄×D₄	—	5	8	no	—
1000	C₄×D₄	—	5	4	no	—
1001	C₄×D₄	—	5	8	no	—
1002	C₄×D₄	—	5	8	no	—
1003	C₄×D₄	—	5	4	no	—
1004	C₄×D₄	—	5	8	no	—
1005	C₄×D₄	—	5	8	no	—
1006	C₄×D₄	—	5	8	no	—
1007	C₄×D₄	—	5	8	no	—
1008	C₄×D₄	—	5	8	no	—
1009	C₄×D₄	—	5	8	no	—
1010	C₄×D₄	—	5	8	no	—
1011	C₄×D₄	—	5	4	no	—
1012	C₄×D₄	—	5	8	no	—
1013	C₄×D₄	—	5	4	no	—
1014	C₄×D₄	—	5	8	no	—
1015	C₄×D₄	C₂²×D₅	1	8	yes	—
1016	C₄×D₄	C₂²×D₅	1	8	yes	—
1017	C₄×D₄	C₂²×D₅	1	4	yes	complemented
1018	C₄×D₄	C₂²×D₅	1	4	yes	complemented
1019	#117	—	5	2	no	—
1020	#117	—	5	2	no	—
1021	#117	—	5	4	no	—
1022	#117	—	5	2	no	—
1023	#117	—	5	4	no	—
1024	#117	—	5	8	no	—
1025	#117	—	5	4	no	—
1026	#117	—	5	4	no	—
1027	#117	—	5	4	no	—
1028	#117	—	5	4	no	—
1029	#117	—	5	4	no	—
1030	#117	—	5	8	no	—
1031	#117	—	5	4	no	—
1032	#117	—	5	4	no	—
1033	#117	—	5	8	no	—
1034	#117	—	5	4	no	—
1035	#117	—	5	4	no	—
1036	#117	—	5	4	no	—
1037	#117	—	5	4	no	—
1038	#117	—	5	4	no	—
1039	#117	—	5	8	no	—
1040	#117	—	5	8	no	—
1041	#117	—	5	2	no	—
1042	#117	—	5	2	no	—
1043	#117	—	5	4	no	—
1044	#117	—	5	4	no	—
1045	#117	—	5	4	no	—
1046	#117	—	5	2	no	—
1047	#117	—	5	2	no	—
1048	#117	—	5	4	no	—
1049	#117	—	5	4	no	—
1050	#117	—	5	8	no	—
1051	#117	—	5	8	no	—
1052	#117	—	5	8	no	—
1053	#117	—	5	8	no	—
1054	#117	C₂²×D₅	1	4	yes	—
1055	#117	C₂²×D₅	1	2	yes	—
1056	#117	C₂²×D₅	1	2	yes	—
1057	#117	C₂²×D₅	1	2	yes	—
1058	#117	C₂²×D₅	1	4	yes	complemented
1059	C₂×C₄⋊C₄	—	5	2	no	—
1060	C₂×C₄⋊C₄	—	5	2	no	—
1061	C₂×C₄⋊C₄	—	5	2	no	—
1062	C₂×C₄⋊C₄	—	5	8	no	—
1063	C₂×C₄⋊C₄	—	5	4	no	—
1064	C₂×C₄⋊C₄	—	5	4	no	—
1065	C₂×C₄⋊C₄	—	5	4	no	—
1066	C₂×C₄⋊C₄	—	5	4	no	—
1067	C₂×C₄⋊C₄	—	5	4	no	—
1068	C₂×C₄⋊C₄	—	5	8	no	—
1069	C₂×C₄⋊C₄	—	5	8	no	—
1070	C₂×C₄⋊C₄	C₂²×D₅	1	2	yes	—
1071	C₂×C₂²⋊C₄	—	5	2	no	—
1072	C₂×C₂²⋊C₄	—	5	2	no	—
1073	C₂×C₂²⋊C₄	—	5	2	no	—
1074	C₂×C₂²⋊C₄	—	5	8	no	—
1075	C₂×C₂²⋊C₄	—	5	4	no	—
1076	C₂×C₂²⋊C₄	—	5	4	no	—
1077	C₂×C₂²⋊C₄	—	5	4	no	—
1078	C₂×C₂²⋊C₄	—	5	4	no	—
1079	C₂×C₂²⋊C₄	—	5	4	no	—
1080	C₂×C₂²⋊C₄	—	5	8	no	—
1081	C₂×C₂²⋊C₄	—	5	8	no	—
1082	C₂×C₂²⋊C₄	—	5	8	no	—
1083	C₂×C₂²⋊C₄	C₂²×D₅	1	2	yes	—
1084	C₂×C₄²	—	5	1	no	—
1085	C₂×C₄²	—	5	2	no	—
1086	C₂×C₄²	—	5	2	no	—
1087	C₂×C₄²	—	5	1	no	—
1088	C₂×C₄²	—	5	4	no	—
1089	C₂×C₄²	—	5	2	no	—
1090	C₂×C₄²	—	5	2	no	—
1091	C₂×C₄²	—	5	4	no	—
1092	C₂×C₄²	—	5	2	no	—
1093	C₂×C₄²	—	5	2	no	—
1094	C₂×C₄²	—	5	4	no	—
1095	C₂×C₄²	—	5	4	no	—
1096	C₂×C₄²	—	5	4	no	—
1097	C₂×C₄²	—	5	4	no	—
1098	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
1099	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
1100	C₂×C₄²	C₂²×D₅	1	4	yes	complemented
1101	C₂²×C₅	—	2	2	no	—
1102	C₂²×C₅	—	2	2	no	—
1103	C₂²×C₅	—	2	4	no	—
1104	C₂²×C₅	—	2	8	no	—
1105	C₂²×C₅	—	2	4	no	—
1106	C₂²×C₅	—	4	4	no	—
1107	C₂²×C₅	C₂²×#41	1	2	yes	—
1108	C₂²×C₅	C₂⁶	1	1	yes	characteristic
1109	C₂×D₅	—	2	8	no	—
1110	C₂×D₅	—	2	2	no	—
1111	C₂×D₅	—	2	2	no	—
1112	C₂×D₅	—	2	4	no	—
1113	C₂×D₅	—	2	4	no	—
1114	C₂×D₅	—	2	8	no	—
1115	C₂×D₅	—	4	4	no	—
1116	C₂×D₅	—	4	16	no	—
1117	C₂×D₅	—	8	8	no	—
1118	C₂×D₅	C₂²×#41	1	4	yes	—
1119	C₂×D₅	#585	1	4	yes	—
1120	C₄×C₅	—	2	4	no	—
1121	C₄×C₅	—	2	2	no	—
1122	C₄×C₅	—	2	2	no	—
1123	C₄×C₅	—	2	8	no	—
1124	C₄×C₅	—	2	4	no	—
1125	C₄×C₅	—	2	2	no	—
1126	C₄×C₅	C₂²×#41	1	2	yes	—
1127	C₄×C₅	C₂²×#41	1	2	yes	—
1128	Dic₅	—	2	4	no	—
1129	Dic₅	—	2	2	no	—
1130	Dic₅	—	2	4	no	—
1131	Dic₅	—	2	8	no	—
1132	Dic₅	—	2	2	no	—
1133	Dic₅	—	2	2	no	—
1134	Dic₅	C₂²×#41	1	4	yes	—
1135	C₂⁴	—	5	1	no	—
1136	C₂⁴	—	5	1	no	—
1137	C₂⁴	—	5	4	no	—
1138	C₂⁴	—	5	4	no	—
1139	C₂⁴	—	10	4	no	—
1140	C₂⁴	—	20	4	no	—
1141	C₂⁴	C₂³×D₅	1	1	yes	characteristic
1142	#41	—	2	8	no	—
1143	#41	—	10	16	no	—
1144	#41	—	10	16	no	—
1145	#41	—	10	8	no	—
1146	#41	—	10	8	no	—
1147	#41	—	10	8	no	—
1148	#41	—	20	16	no	—
1149	#41	—	20	8	no	—
1150	#41	—	20	8	no	—
1151	C₂×Q₈	—	5	4	no	—
1152	C₂×Q₈	—	5	2	no	—
1153	C₂×Q₈	—	5	4	no	—
1154	C₂×Q₈	—	5	8	no	—
1155	C₂×Q₈	—	10	8	no	—
1156	C₂×Q₈	C₂³×D₅	1	2	yes	—
1157	C₂×Q₈	C₂³×D₅	1	4	yes	—
1158	C₂×D₄	—	5	4	no	—
1159	C₂×D₄	—	5	8	no	—
1160	C₂×D₄	—	5	4	no	—
1161	C₂×D₄	—	5	4	no	—
1162	C₂×D₄	—	5	8	no	—
1163	C₂×D₄	—	5	8	no	—
1164	C₂×D₄	—	5	4	no	—
1165	C₂×D₄	—	5	8	no	—
1166	C₂×D₄	—	5	2	no	—
1167	C₂×D₄	—	5	4	no	—
1168	C₂×D₄	—	10	8	no	—
1169	C₂×D₄	—	10	16	no	—
1170	C₂×D₄	—	20	16	no	—
1171	C₂×D₄	C₂³×D₅	1	4	yes	—
1172	C₂×D₄	C₂³×D₅	1	2	yes	—
1173	C₂×D₄	C₂³×D₅	1	8	yes	—
1174	C₂×D₄	C₂³×D₅	1	4	yes	—
1175	C₂²×C₄	—	2	4	no	—
1176	C₂²×C₄	—	5	1	no	—
1177	C₂²×C₄	—	5	8	no	—
1178	C₂²×C₄	—	5	2	no	—
1179	C₂²×C₄	—	5	2	no	—
1180	C₂²×C₄	—	5	1	no	—
1181	C₂²×C₄	—	5	4	no	—
1182	C₂²×C₄	—	5	4	no	—
1183	C₂²×C₄	—	5	2	no	—
1184	C₂²×C₄	—	5	2	no	—
1185	C₂²×C₄	—	5	8	no	—
1186	C₂²×C₄	—	5	2	no	—
1187	C₂²×C₄	—	5	2	no	—
1188	C₂²×C₄	—	5	2	no	—
1189	C₂²×C₄	—	5	4	no	—
1190	C₂²×C₄	—	5	4	no	—
1191	C₂²×C₄	—	5	4	no	—
1192	C₂²×C₄	—	5	4	no	—
1193	C₂²×C₄	—	5	4	no	—
1194	C₂²×C₄	—	5	2	no	—
1195	C₂²×C₄	—	5	4	no	—
1196	C₂²×C₄	—	5	2	no	—
1197	C₂²×C₄	—	5	2	no	—
1198	C₂²×C₄	—	5	4	no	—
1199	C₂²×C₄	—	5	8	no	—
1200	C₂²×C₄	—	5	8	no	—
1201	C₂²×C₄	—	5	8	no	—
1202	C₂²×C₄	—	10	4	no	—
1203	C₂²×C₄	—	10	16	no	—
1204	C₂²×C₄	—	10	16	no	—
1205	C₂²×C₄	—	10	16	no	—
1206	C₂²×C₄	—	10	4	no	—
1207	C₂²×C₄	—	10	4	no	—
1208	C₂²×C₄	—	10	4	no	—
1209	C₂²×C₄	—	20	4	no	—
1210	C₂²×C₄	—	20	4	no	—
1211	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1212	C₂²×C₄	C₂³×D₅	1	2	yes	—
1213	C₂²×C₄	C₂³×D₅	1	4	yes	—
1214	C₂²×C₄	C₂³×D₅	1	2	yes	—
1215	C₂²×C₄	C₂³×D₅	1	2	yes	—
1216	C₂²×C₄	C₂³×D₅	1	2	yes	—
1217	C₂²×C₄	C₂³×D₅	1	8	yes	—
1218	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1219	C₄⋊C₄	—	5	4	no	—
1220	C₄⋊C₄	—	5	4	no	—
1221	C₄⋊C₄	—	5	4	no	—
1222	C₄⋊C₄	—	5	8	no	—
1223	C₄⋊C₄	—	5	4	no	—
1224	C₄⋊C₄	—	5	4	no	—
1225	C₄⋊C₄	—	5	4	no	—
1226	C₄⋊C₄	—	5	4	no	—
1227	C₄⋊C₄	—	5	8	no	—
1228	C₄⋊C₄	—	5	8	no	—
1229	C₄⋊C₄	—	5	8	no	—
1230	C₄⋊C₄	—	5	8	no	—
1231	C₄⋊C₄	—	5	8	no	—
1232	C₄⋊C₄	—	5	8	no	—
1233	C₄⋊C₄	—	5	8	no	—
1234	C₄⋊C₄	—	5	8	no	—
1235	C₄⋊C₄	—	5	8	no	—
1236	C₄⋊C₄	—	5	8	no	—
1237	C₄⋊C₄	—	5	4	no	—
1238	C₄⋊C₄	—	5	8	no	—
1239	C₄⋊C₄	—	5	4	no	—
1240	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1241	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1242	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1243	C₄⋊C₄	C₂³×D₅	1	8	yes	—
1244	C₄⋊C₄	C₂³×D₅	1	8	yes	—
1245	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1246	C₄⋊C₄	C₂³×D₅	1	8	yes	—
1247	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1248	C₂²⋊C₄	—	5	4	no	—
1249	C₂²⋊C₄	—	5	4	no	—
1250	C₂²⋊C₄	—	5	4	no	—
1251	C₂²⋊C₄	—	5	8	no	—
1252	C₂²⋊C₄	—	5	8	no	—
1253	C₂²⋊C₄	—	5	8	no	—
1254	C₂²⋊C₄	—	5	8	no	—
1255	C₂²⋊C₄	—	5	4	no	—
1256	C₂²⋊C₄	—	5	4	no	—
1257	C₂²⋊C₄	—	5	4	no	—
1258	C₂²⋊C₄	—	5	8	no	—
1259	C₂²⋊C₄	—	5	4	no	—
1260	C₂²⋊C₄	—	5	8	no	—
1261	C₂²⋊C₄	—	5	8	no	—
1262	C₂²⋊C₄	—	5	8	no	—
1263	C₂²⋊C₄	—	5	8	no	—
1264	C₂²⋊C₄	—	5	8	no	—
1265	C₂²⋊C₄	—	5	8	no	—
1266	C₂²⋊C₄	—	5	8	no	—
1267	C₂²⋊C₄	—	5	8	no	—
1268	C₂²⋊C₄	C₂³×D₅	1	4	yes	—
1269	C₂²⋊C₄	C₂³×D₅	1	4	yes	—
1270	C₂²⋊C₄	C₂³×D₅	1	4	yes	—
1271	C₂²⋊C₄	C₂³×D₅	1	8	yes	—
1272	C₂²⋊C₄	C₂³×D₅	1	8	yes	—
1273	C₂²⋊C₄	C₂³×D₅	1	8	yes	—
1274	C₂²⋊C₄	C₂³×D₅	1	8	yes	—
1275	C₄²	—	5	2	no	—
1276	C₄²	—	5	2	no	—
1277	C₄²	—	5	4	no	—
1278	C₄²	—	5	2	no	—
1279	C₄²	—	5	2	no	—
1280	C₄²	—	5	2	no	—
1281	C₄²	—	5	4	no	—
1282	C₄²	—	5	2	no	—
1283	C₄²	—	5	8	no	—
1284	C₄²	—	5	8	no	—
1285	C₄²	—	5	8	no	—
1286	C₄²	—	5	8	no	—
1287	C₄²	—	5	1	no	—
1288	C₄²	—	5	1	no	—
1289	C₄²	—	5	2	no	—
1290	C₄²	—	5	4	no	—
1291	C₄²	C₂³×D₅	1	2	yes	—
1292	C₄²	C₂³×D₅	1	1	yes	characteristic
1293	C₄²	C₂³×D₅	1	1	yes	characteristic
1294	C₄²	C₂³×D₅	1	8	yes	—
1295	C₄²	C₂³×D₅	1	2	yes	—
1296	C₄²	C₂³×D₅	1	2	yes	—
1297	C₄²	C₂³×D₅	1	4	yes	—
1298	C₂×C₅	—	2	2	no	—
1299	C₂×C₅	—	4	2	no	—
1300	C₂×C₅	—	4	4	no	—
1301	C₂×C₅	C₂³×#41	1	1	yes	characteristic
1302	C₂×C₅	C₂×#585	1	2	yes	—
1303	D₅	—	2	4	no	—
1304	D₅	—	2	4	no	—
1305	D₅	—	4	4	no	—
1306	C₂³	—	2	2	no	—
1307	C₂³	—	4	2	no	—
1308	C₂³	—	5	2	no	—
1309	C₂³	—	5	2	no	—
1310	C₂³	—	5	4	no	—
1311	C₂³	—	5	4	no	—
1312	C₂³	—	10	4	no	—
1313	C₂³	—	10	8	no	—
1314	C₂³	—	10	8	no	—
1315	C₂³	—	10	8	no	—
1316	C₂³	—	10	2	no	—
1317	C₂³	—	20	2	no	—
1318	C₂³	—	20	4	no	—
1319	C₂³	—	20	8	no	—
1320	C₂³	—	20	16	no	—
1321	C₂³	C₂⁴×D₅	1	2	yes	—
1322	C₂³	C₂⁴×D₅	1	4	yes	—
1323	C₂³	C₂⁴×D₅	1	1	yes	characteristic
1324	Q₈	—	2	4	no	—
1325	Q₈	—	4	4	no	—
1326	Q₈	—	10	8	no	—
1327	Q₈	—	10	4	no	—
1328	Q₈	—	20	4	no	—
1329	Q₈	—	20	8	no	—
1330	D₄	—	2	8	no	—
1331	D₄	—	2	4	no	—
1332	D₄	—	4	8	no	—
1333	D₄	—	4	4	no	—
1334	D₄	—	10	8	no	—
1335	D₄	—	10	16	no	—
1336	D₄	—	10	8	no	—
1337	D₄	—	10	8	no	—
1338	D₄	—	10	16	no	—
1339	D₄	—	10	8	no	—
1340	D₄	—	10	4	no	—
1341	D₄	—	20	4	no	—
1342	D₄	—	20	8	no	—
1343	D₄	—	20	8	no	—
1344	C₂×C₄	—	2	2	no	—
1345	C₂×C₄	—	2	4	no	—
1346	C₂×C₄	—	2	4	no	—
1347	C₂×C₄	—	2	8	no	—
1348	C₂×C₄	—	4	2	no	—
1349	C₂×C₄	—	4	2	no	—
1350	C₂×C₄	—	4	8	no	—
1351	C₂×C₄	—	5	4	no	—
1352	C₂×C₄	—	5	2	no	—
1353	C₂×C₄	—	5	8	no	—
1354	C₂×C₄	—	5	8	no	—
1355	C₂×C₄	—	5	2	no	—
1356	C₂×C₄	—	5	2	no	—
1357	C₂×C₄	—	5	2	no	—
1358	C₂×C₄	—	5	4	no	—
1359	C₂×C₄	—	5	4	no	—
1360	C₂×C₄	—	5	8	no	—
1361	C₂×C₄	—	10	8	no	—
1362	C₂×C₄	—	10	8	no	—
1363	C₂×C₄	—	10	8	no	—
1364	C₂×C₄	—	10	8	no	—
1365	C₂×C₄	—	10	8	no	—
1366	C₂×C₄	—	10	4	no	—
1367	C₂×C₄	—	10	4	no	—
1368	C₂×C₄	—	10	8	no	—
1369	C₂×C₄	—	10	8	no	—
1370	C₂×C₄	—	10	2	no	—
1371	C₂×C₄	—	10	4	no	—
1372	C₂×C₄	—	10	4	no	—
1373	C₂×C₄	—	10	8	no	—
1374	C₂×C₄	—	20	4	no	—
1375	C₂×C₄	—	20	2	no	—
1376	C₂×C₄	—	20	2	no	—
1377	C₂×C₄	—	20	8	no	—
1378	C₂×C₄	—	20	8	no	—
1379	C₂×C₄	—	20	8	no	—
1380	C₂×C₄	—	20	2	no	—
1381	C₂×C₄	—	20	2	no	—
1382	C₂×C₄	—	20	8	no	—
1383	C₂×C₄	D₅×#41	1	4	yes	—
1384	C₂×C₄	C₂⁴×D₅	1	4	yes	—
1385	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1386	C₂×C₄	C₂⁴×D₅	1	4	yes	—
1387	C₂×C₄	C₂⁴×D₅	1	8	yes	—
1388	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1389	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1390	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1391	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1392	C₅	#62814	1	1	yes	characteristic, complemented, Sylow
1393	C₂²	—	2	2	no	—
1394	C₂²	—	2	2	no	—
1395	C₂²	—	2	4	no	—
1396	C₂²	—	2	8	no	—
1397	C₂²	—	2	4	no	—
1398	C₂²	—	4	4	no	—
1399	C₂²	—	5	4	no	—
1400	C₂²	—	5	4	no	—
1401	C₂²	—	10	8	no	—
1402	C₂²	—	10	2	no	—
1403	C₂²	—	10	2	no	—
1404	C₂²	—	10	4	no	—
1405	C₂²	—	10	4	no	—
1406	C₂²	—	10	8	no	—
1407	C₂²	—	20	4	no	—
1408	C₂²	—	20	16	no	—
1409	C₂²	—	40	8	no	—
1410	C₂²	C₂×D₅×#41	1	2	yes	—
1411	C₂²	C₂⁵×D₅	1	1	yes	characteristic
1412	C₄	—	2	2	no	—
1413	C₄	—	2	4	no	—
1414	C₄	—	2	4	no	—
1415	C₄	—	2	2	no	—
1416	C₄	—	2	2	no	—
1417	C₄	—	2	8	no	—
1418	C₄	—	5	4	no	—
1419	C₄	—	10	2	no	—
1420	C₄	—	10	4	no	—
1421	C₄	—	10	2	no	—
1422	C₄	—	10	2	no	—
1423	C₄	—	10	4	no	—
1424	C₄	—	10	8	no	—
1425	C₄	C₂×D₅×#41	1	2	yes	—
1426	C₄	C₂×D₅×#41	1	2	yes	—
1427	C₂	—	2	2	no	—
1428	C₂	—	4	2	no	—
1429	C₂	—	4	4	no	—
1430	C₂	—	10	4	no	—
1431	C₂	—	10	4	no	—
1432	C₂	—	20	4	no	—
1433	C₂	C₂²×D₅×#41	1	1	yes	characteristic
1434	C₂	D₅×#585	1	2	yes	—

	subgroup	G/H
center	C₂×C₄	C₂⁴×D₅
commutator, socle, cosocle	C₂²×C₅	C₂⁶
Frattini	C₂²	C₂⁵×D₅
Fitting	C₅×#3455	C₂
hypercenter	#3455	D₅
hypocenter	C₅	#62814
LCS	G ▷ C₂²×C₅ ▷ C₅
UCS	C₁ ◁ C₂×C₄ ◁ #3455

Complements

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

N	H ≅ G/N	type
1. C₅×#3455	C₂	semidirect
2. #10618452	C₂	semidirect
3. #10618451	C₂	semidirect
4. #10618410	C₂	semidirect
5. #10618386	C₂	semidirect
6. #10618354	C₂	semidirect
7. #10618331	C₂	semidirect
8. #10618315	C₂	semidirect
9. #10618291	C₂	semidirect
10. #10618175	C₂	semidirect
11. #10618158	C₂	semidirect
12. #10618136	C₂	semidirect
13. #10618120	C₂	semidirect
14. #10618052	C₂	semidirect
15. #10618051	C₂	semidirect
16. D₅×#525	C₂	semidirect
17. #10617920	C₂	semidirect
18. #10617737	C₂	semidirect
19. #10617735	C₂	semidirect
20. #10617639	C₂	semidirect
21. C₂×D₅×#117	C₂	semidirect
24. C₅×#542	C₂²	semidirect
25. C₅×#541	C₂²	semidirect
26. C₅×#540	C₂²	semidirect
27. C₅×#539	C₂²	semidirect
28. C₅×#538	C₂²	semidirect
29. C₅×#533	C₂²	semidirect
30. C₅×#532	C₂²	semidirect
31. C₅×#529	C₂²	semidirect
32. C₅×#525	C₂²	semidirect
33. C₄×C₅×#41	C₂²	semidirect
34. C₂×C₅×#117	C₂²	semidirect
35. #66166	C₂²	semidirect
36. #66162	C₂²	semidirect
37. #41×Dic₅	C₂²	semidirect
38. #66125	C₂²	semidirect
39. C₂×#4072	C₂²	semidirect
40. #66063	C₂²	semidirect
41. #66062	C₂²	semidirect
42. #66062	C₂²	semidirect
43. #66059	C₂²	semidirect
44. #66058	C₂²	semidirect
45. #66050	C₂²	semidirect
46. #66049	C₂²	semidirect
47. #66043	C₂²	semidirect
48. #66042	C₂²	semidirect
49. #66042	C₂²	semidirect
50. #66042	C₂²	semidirect
51. #66039	C₂²	semidirect
52. #66039	C₂²	semidirect
53. #66039	C₂²	semidirect
54. #66036	C₂²	semidirect
55. #66028	C₂²	semidirect
56. #66027	C₂²	semidirect
57. #66027	C₂²	semidirect
58. #66025	C₂²	semidirect
59. #66024	C₂²	semidirect
60. #66023	C₂²	semidirect
61. #66014	C₂²	semidirect
62. #66013	C₂²	semidirect
63. #66010	C₂²	semidirect
64. #66009	C₂²	semidirect
65. #66008	C₂²	semidirect
66. #66005	C₂²	semidirect
67. #66004	C₂²	semidirect
68. #65999	C₂²	semidirect
69. #65995	C₂²	semidirect
70. #65995	C₂²	semidirect
71. #65993	C₂²	semidirect
72. #65993	C₂²	semidirect
73. #65992	C₂²	semidirect
74. #65990	C₂²	semidirect
75. #65989	C₂²	semidirect
76. #65988	C₂²	semidirect
78. #65984	C₂²	semidirect
79. #65977	C₂²	semidirect
80. #65973	C₂²	semidirect
81. #65971	C₂²	semidirect
82. #65970	C₂²	semidirect
84. #65965	C₂²	semidirect
86. #65961	C₂²	semidirect
87. D₅×C₂²⋊Q₈	C₂²	semidirect
88. #65959	C₂²	semidirect
89. #65958	C₂²	semidirect
90. #65957	C₂²	semidirect
91. #65953	C₂²	semidirect
92. #65950	C₂²	semidirect
93. #65946	C₂²	semidirect
94. #65944	C₂²	semidirect
96. #65940	C₂²	semidirect
98. D₅×#121	C₂²	semidirect
99. #65937	C₂²	semidirect
100. #65935	C₂²	semidirect
101. #65934	C₂²	semidirect
102. #65931	C₂²	semidirect
103. #65927	C₂²	semidirect
105. #65920	C₂²	semidirect
106. #65914	C₂²	semidirect
107. #65914	C₂²	semidirect
108. #65912	C₂²	semidirect
109. #65912	C₂²	semidirect
110. #65908	C₂²	semidirect
111. C₄×#713	C₂²	semidirect
112. #65906	C₂²	semidirect
113. #65891	C₂²	semidirect
114. #65891	C₂²	semidirect
115. #65891	C₂²	semidirect
116. #65882	C₂²	semidirect
118. #65881	C₂²	semidirect
119. #65881	C₂²	semidirect
120. #65880	C₂²	semidirect
121. #65880	C₂²	semidirect
123. #65879	C₂²	semidirect
124. C₄×D₄×D₅	C₂²	semidirect
125. #65872	C₂²	semidirect
126. #65872	C₂²	semidirect
127. C₄×#711	C₂²	semidirect
128. #65869	C₂²	semidirect
129. #65868	C₂²	semidirect
130. #65862	C₂²	semidirect
131. #65862	C₂²	semidirect
132. #65858	C₂²	semidirect
133. #65856	C₂²	semidirect
134. #65856	C₂²	semidirect
136. D₅×#117	C₂²	semidirect
137. D₅×#117	C₂²	semidirect
138. D₅×#117	C₂²	semidirect
139. D₅×#117	C₂²	semidirect
140. D₅×#117	C₂²	semidirect
141. #65852	C₂²	semidirect
142. #65851	C₂²	semidirect
143. #65849	C₂²	semidirect
145. C₂×D₅×C₄⋊C₄	C₂²	semidirect
146. #65828	C₂²	semidirect
148. C₂×#4023	C₂²	semidirect
149. #65811	C₂²	semidirect
150. C₄×#709	C₂²	semidirect
151. C₄×#709	C₂²	semidirect
152. C₄×#709	C₂²	semidirect
155. C₂×#4018	C₂²	semidirect
156. C₂×C₄²×D₅	C₂²	semidirect
157. C₂×C₄²×D₅	C₂²	semidirect
158. #65804	C₂²	semidirect
187. C₅×C₄⋊Q₈	C₂³	semidirect
188. C₅×C₄⋊Q₈	C₂³	semidirect
189. C₅×#127	C₂³	semidirect
191. C₅×#126	C₂³	semidirect
192. C₅×#125	C₂³	semidirect
193. C₅×#125	C₂³	semidirect
195. C₅×#124	C₂³	semidirect
198. C₅×#123	C₂³	semidirect
201. C₅×C₂²⋊Q₈	C₂³	semidirect
206. C₄×C₅×Q₈	C₂³	semidirect
207. C₄×C₅×Q₈	C₂³	semidirect
210. C₄×C₅×D₄	C₂³	semidirect
211. C₄×C₅×D₄	C₂³	semidirect
216. C₅×#117	C₂³	semidirect
221. C₂×C₄²×C₅	C₂³	semidirect
224. #4093	C₂³	semidirect
225. #4093	C₂³	semidirect
229. Q₈×Dic₅	C₂³	semidirect
230. Q₈×Dic₅	C₂³	semidirect
231. #4090	C₂³	semidirect
232. #4090	C₂³	semidirect
233. #4086	C₂³	semidirect
237. #4085	C₂³	semidirect
245. #4082	C₂³	semidirect
246. #4082	C₂³	semidirect
251. D₄×Dic₅	C₂³	semidirect
252. D₄×Dic₅	C₂³	semidirect
261. C₄×C₂²⋊D₅	C₂³	semidirect
262. C₄×C₂²⋊D₅	C₂³	semidirect
263. C₄×C₂²⋊D₅	C₂³	semidirect
271. #4072	C₂³	semidirect
272. #4072	C₂³	semidirect
278. C₂×#683	C₂³	semidirect
283. C₂×C₄×Dic₅	C₂³	semidirect
284. #4044	C₂³	semidirect
285. #4044	C₂³	semidirect
286. #4044	C₂³	semidirect
287. #4044	C₂³	semidirect
291. #4043	C₂³	semidirect
296. #4042	C₂³	semidirect
297. #4042	C₂³	semidirect
304. #4040	C₂³	semidirect
308. #4039	C₂³	semidirect
309. #4039	C₂³	semidirect
318. #4038	C₂³	semidirect
325. D₅×C₄⋊C₄	C₂³	semidirect
326. #4036	C₂³	semidirect
327. #4036	C₂³	semidirect
328. #4036	C₂³	semidirect
329. #4036	C₂³	semidirect
330. #4035	C₂³	semidirect
331. #4035	C₂³	semidirect
332. #4035	C₂³	semidirect
333. #4035	C₂³	semidirect
334. #4035	C₂³	semidirect
335. #4034	C₂³	semidirect
336. #4034	C₂³	semidirect
337. #4033	C₂³	semidirect
338. #4033	C₂³	semidirect
339. #4033	C₂³	semidirect
341. #4032	C₂³	semidirect
344. #4031	C₂³	semidirect
348. #4030	C₂³	semidirect
355. #4029	C₂³	semidirect
364. #4027	C₂³	semidirect
376. #4025	C₂³	semidirect
377. #4025	C₂³	semidirect
378. #4025	C₂³	semidirect
381. #4024	C₂³	semidirect
382. #4024	C₂³	semidirect
388. #4023	C₂³	semidirect
389. #4023	C₂³	semidirect
390. #4021	C₂³	semidirect
391. #4020	C₂³	semidirect
395. C₄×D₂₀	C₂³	semidirect
396. C₄×D₂₀	C₂³	semidirect
406. #4018	C₂³	semidirect
407. #4018	C₂³	semidirect
408. #4018	C₂³	semidirect
409. #4018	C₂³	semidirect
417. C₄²×D₅	C₂³	semidirect
418. C₄²×D₅	C₂³	semidirect
419. #4016	C₂³	semidirect
420. #4015	C₂³	semidirect
421. #4015	C₂³	semidirect
422. C₄×Dic₁₀	C₂³	semidirect
423. C₄×Dic₁₀	C₂³	semidirect
424. C₄×Dic₁₀	C₂³	semidirect
425. C₄×Dic₁₀	C₂³	semidirect
426. C₄×Dic₁₀	C₂³	semidirect
440. #3455	D₅	semidirect
509. C₂×C₄×D₅	#41	semidirect
652. #542	C₂×D₅	semidirect
655. #541	C₂×D₅	semidirect
658. #540	C₂×D₅	semidirect
661. #539	C₂×D₅	semidirect
664. #538	C₂×D₅	semidirect
677. #533	C₂×D₅	semidirect
683. #532	C₂×D₅	semidirect
697. #529	C₂×D₅	semidirect
710. #525	C₂×D₅	semidirect
729. C₄×#41	C₂×D₅	semidirect
743. C₂×#117	C₂×D₅	semidirect
867. C₄⋊Q₈	C₂²×D₅	semidirect
868. C₄⋊Q₈	C₂²×D₅	semidirect
871. #127	C₂²×D₅	semidirect
883. #126	C₂²×D₅	semidirect
894. #125	C₂²×D₅	semidirect
895. #125	C₂²×D₅	semidirect
906. #124	C₂²×D₅	semidirect
926. #123	C₂²×D₅	semidirect
948. C₂²⋊Q₈	C₂²×D₅	semidirect
985. C₄×Q₈	C₂²×D₅	semidirect
986. C₄×Q₈	C₂²×D₅	semidirect
1017. C₄×D₄	C₂²×D₅	semidirect
1018. C₄×D₄	C₂²×D₅	semidirect
1058. #117	C₂²×D₅	semidirect
1100. C₂×C₄²	C₂²×D₅	semidirect
1392. C₅	#62814	semidirect

Maximal subgroups

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

subgroup	index
C₅×#3455	2
#10618452	2
#10618451	2
#10618410	2
#10618386	2
#10618354	2
#10618331	2
#10618315	2
#10618291	2
#10618175	2
#10618158	2
#10618136	2
#10618120	2
#10618052	2
#10618051	2
D₅×#525	2
#10617920	2
#10617737	2
#10617735	2
#10617639	2
C₂×D₅×#117	2
#62814	5