Subgroups — D₅×#3455 #13006145

Order 1280.

7302 conjugacy classes of subgroups.

The subgroup lattice has 1504 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	D₅×#542	C₂	1	4	yes	maximal, complemented
3	#10618424	C₂	1	4	yes	maximal, complemented
4	D₅×#541	C₂	1	2	yes	maximal, complemented
5	#10618396	C₂	1	2	yes	maximal, complemented
6	D₅×#540	C₂	1	2	yes	maximal, complemented
7	#10618368	C₂	1	2	yes	maximal, complemented
8	D₅×#539	C₂	1	4	yes	maximal, complemented
9	#10618328	C₂	1	4	yes	maximal, complemented
10	D₅×#538	C₂	1	4	yes	maximal, complemented
11	#10618288	C₂	1	4	yes	maximal, complemented
12	#10618174	C₂	1	1	yes	maximal, characteristic, complemented
13	D₅×#533	C₂	1	1	yes	maximal, characteristic, complemented
14	#10618137	C₂	1	1	yes	maximal, characteristic, complemented
15	D₅×#532	C₂	1	1	yes	maximal, characteristic, complemented
16	#10618047	C₂	1	8	yes	maximal, complemented
17	D₅×#529	C₂	1	8	yes	maximal, complemented
18	D₅×#525	C₂	1	2	yes	maximal, complemented
19	#10617920	C₂	1	2	yes	maximal, complemented
20	#10617738	C₂	1	2	yes	maximal, complemented
21	C₄×D₅×#41	C₂	1	2	yes	maximal, complemented
22	#10617639	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×D₅×#117	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×D₅×#41	C₂²	1	2	yes	—
25	C₂³×C₄×D₅	C₂²	1	1	yes	characteristic
26	C₅×#542	C₂²	1	4	yes	complemented
27	C₅×#541	C₂²	1	2	yes	complemented
28	C₅×#540	C₂²	1	2	yes	complemented
29	C₅×#539	C₂²	1	4	yes	complemented
30	C₅×#538	C₂²	1	4	yes	complemented
31	C₅×#533	C₂²	1	1	yes	characteristic, complemented
32	C₅×#532	C₂²	1	1	yes	characteristic, complemented
33	C₅×#529	C₂²	1	8	yes	complemented
34	C₅×#525	C₂²	1	2	yes	complemented
35	C₄×C₅×#41	C₂²	1	2	yes	complemented
36	C₂×C₅×#117	C₂²	1	1	yes	characteristic, complemented
37	#66166	C₂²	1	2	yes	complemented
38	#66162	C₂²	1	2	yes	complemented
39	#41×Dic₅	C₂²	1	2	yes	complemented
40	#66125	C₂²	1	2	yes	complemented
41	C₂×#4072	C₂²	1	1	yes	characteristic, complemented
42	#66067	C₂²	1	4	yes	complemented
43	#66065	C₂²	1	2	yes	complemented
44	#66062	C₂²	1	2	yes	complemented
45	#66059	C₂²	1	1	yes	characteristic, complemented
46	D₅×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
47	D₅×C₄⋊Q₈	C₂²	1	2	yes	complemented
48	#66053	C₂²	1	2	yes	complemented
49	#66050	C₂²	1	1	yes	characteristic, complemented
50	D₅×#127	C₂²	1	1	yes	characteristic, complemented
51	#66044	C₂²	1	8	yes	complemented
52	#66041	C₂²	1	8	yes	complemented
53	#66040	C₂²	1	8	yes	complemented
54	#66040	C₂²	1	8	yes	complemented
55	#66038	C₂²	1	8	yes	complemented
56	D₅×#126	C₂²	1	8	yes	—
57	D₅×#126	C₂²	1	8	yes	complemented
58	#66035	C₂²	1	8	yes	complemented
59	#66032	C₂²	1	2	yes	complemented
60	#66031	C₂²	1	2	yes	complemented
61	#66030	C₂²	1	8	yes	complemented
62	#66026	C₂²	1	8	yes	complemented
63	#66025	C₂²	1	8	yes	complemented
64	#66022	C₂²	1	2	yes	complemented
65	D₅×#125	C₂²	1	2	yes	complemented
66	D₅×#125	C₂²	1	8	yes	complemented
67	#66016	C₂²	1	4	yes	complemented
68	#66014	C₂²	1	8	yes	complemented
69	#66012	C₂²	1	8	yes	complemented
70	D₅×#124	C₂²	1	8	yes	—
71	D₅×#124	C₂²	1	2	yes	complemented
72	#66003	C₂²	1	8	yes	complemented
73	#66002	C₂²	1	2	yes	complemented
74	#65999	C₂²	1	8	yes	complemented
75	#65997	C₂²	1	8	yes	complemented
76	#65996	C₂²	1	8	yes	complemented
77	#65994	C₂²	1	8	yes	complemented
78	#65991	C₂²	1	8	yes	complemented
79	#65990	C₂²	1	4	yes	complemented
80	D₅×#123	C₂²	1	4	yes	—
81	D₅×#123	C₂²	1	8	yes	—
82	D₅×#123	C₂²	1	8	yes	complemented
83	#65983	C₂²	1	8	yes	complemented
84	#65983	C₂²	1	8	yes	complemented
85	#65979	C₂²	1	4	yes	complemented
86	#65978	C₂²	1	4	yes	complemented
87	#65977	C₂²	1	4	yes	complemented
88	#65974	C₂²	1	8	yes	complemented
89	#65972	C₂²	1	8	yes	complemented
90	#65961	C₂²	1	4	yes	complemented
91	D₅×C₂²⋊Q₈	C₂²	1	4	yes	—
92	D₅×C₂²⋊Q₈	C₂²	1	4	yes	—
93	D₅×C₂²⋊Q₈	C₂²	1	8	yes	complemented
94	#65959	C₂²	1	4	yes	complemented
95	#65958	C₂²	1	8	yes	complemented
96	#65956	C₂²	1	4	yes	complemented
97	#65953	C₂²	1	4	yes	complemented
98	#65951	C₂²	1	4	yes	complemented
99	#65949	C₂²	1	8	yes	complemented
100	#65947	C₂²	1	8	yes	complemented
101	#65940	C₂²	1	4	yes	complemented
102	D₅×#121	C₂²	1	4	yes	—
103	D₅×#121	C₂²	1	8	yes	—
104	D₅×#121	C₂²	1	4	yes	—
105	#65937	C₂²	1	4	yes	complemented
106	#65936	C₂²	1	4	yes	complemented
107	#65934	C₂²	1	8	yes	complemented
108	#65930	C₂²	1	4	yes	complemented
109	#65927	C₂²	1	8	yes	complemented
110	D₅×#120	C₂²	1	4	yes	—
111	#65920	C₂²	1	4	yes	complemented
112	#65917	C₂²	1	4	yes	complemented
113	#65916	C₂²	1	4	yes	complemented
114	#65914	C₂²	1	8	yes	complemented
115	#65912	C₂²	1	4	yes	complemented
116	C₄×#713	C₂²	1	4	yes	complemented
117	C₄×Q₈×D₅	C₂²	1	4	yes	complemented
118	C₄×Q₈×D₅	C₂²	1	4	yes	complemented
119	#65898	C₂²	1	8	yes	complemented
120	#65896	C₂²	1	4	yes	complemented
121	#65895	C₂²	1	4	yes	complemented
122	#65894	C₂²	1	8	yes	complemented
123	#65891	C₂²	1	8	yes	complemented
124	#65882	C₂²	1	4	yes	complemented
125	#65881	C₂²	1	8	yes	complemented
126	C₄×D₄×D₅	C₂²	1	8	yes	—
127	C₄×D₄×D₅	C₂²	1	8	yes	—
128	C₄×D₄×D₅	C₂²	1	4	yes	complemented
129	C₄×D₄×D₅	C₂²	1	4	yes	complemented
130	#65872	C₂²	1	8	yes	complemented
131	#65872	C₂²	1	8	yes	complemented
132	C₄×#711	C₂²	1	8	yes	complemented
133	C₄×#711	C₂²	1	4	yes	complemented
134	#65869	C₂²	1	2	yes	complemented
135	#65868	C₂²	1	4	yes	complemented
136	#65862	C₂²	1	8	yes	complemented
137	#65862	C₂²	1	8	yes	complemented
138	#65858	C₂²	1	2	yes	complemented
139	#65856	C₂²	1	2	yes	complemented
140	#65856	C₂²	1	4	yes	complemented
141	D₅×#117	C₂²	1	2	yes	—
142	D₅×#117	C₂²	1	2	yes	—
143	D₅×#117	C₂²	1	4	yes	—
144	D₅×#117	C₂²	1	2	yes	—
145	D₅×#117	C₂²	1	2	yes	complemented
146	D₅×#117	C₂²	1	2	yes	complemented
147	D₅×#117	C₂²	1	4	yes	complemented
148	D₅×#117	C₂²	1	4	yes	complemented
149	#65852	C₂²	1	2	yes	complemented
150	#65851	C₂²	1	2	yes	complemented
151	#65849	C₂²	1	4	yes	complemented
152	C₂×#4038	C₂²	1	2	yes	complemented
153	C₂×D₅×C₄⋊C₄	C₂²	1	2	yes	—
154	#65828	C₂²	1	4	yes	complemented
155	C₂×D₅×C₂²⋊C₄	C₂²	1	2	yes	—
156	C₂×#4023	C₂²	1	2	yes	complemented
157	#65813	C₂²	1	8	yes	complemented
158	#65811	C₂²	1	1	yes	characteristic, complemented
159	C₄×#709	C₂²	1	2	yes	complemented
160	C₄×#709	C₂²	1	4	yes	complemented
161	C₂×#4018	C₂²	1	1	yes	characteristic, complemented
162	C₂×#4018	C₂²	1	1	yes	characteristic, complemented
163	C₂×C₄²×D₅	C₂²	1	1	yes	characteristic
164	C₂×C₄²×D₅	C₂²	1	1	yes	characteristic
165	C₂×C₄²×D₅	C₂²	1	4	yes	complemented
166	#65804	C₂²	1	1	yes	characteristic, complemented
167	C₂×#3455	—	5	1	no	maximal, Sylow
168	C₂⁴×D₅	C₂³	1	1	yes	characteristic
169	C₂×C₅×#41	C₂³	1	2	yes	—
170	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
171	C₂³×Dic₅	C₂³	1	1	yes	characteristic
172	D₅×#41	—	2	16	no	—
173	C₂×#713	C₂³	1	2	yes	—
174	C₂×Q₈×D₅	C₂³	1	2	yes	—
175	C₂×Q₈×D₅	C₂³	1	4	yes	—
176	C₂×#711	C₂³	1	2	yes	—
177	C₂×#711	C₂³	1	4	yes	—
178	C₂×D₄×D₅	C₂³	1	2	yes	—
179	C₂×D₄×D₅	C₂³	1	4	yes	—
180	C₂×D₄×D₅	C₂³	1	4	yes	—
181	C₂×D₄×D₅	C₂³	1	8	yes	—
182	C₂×#709	C₂³	1	2	yes	—
183	C₂×#709	C₂³	1	4	yes	—
184	C₂²×C₄×D₅	—	2	8	no	—
185	C₂²×C₄×D₅	C₂³	1	4	yes	—
186	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
187	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
188	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
189	C₂²×C₄×D₅	C₂³	1	2	yes	—
190	C₂²×C₄×D₅	C₂³	1	2	yes	—
191	C₂²×C₄×D₅	C₂³	1	2	yes	—
192	C₂²×C₄×D₅	C₂³	1	2	yes	—
193	C₂²×C₄×D₅	C₂³	1	2	yes	—
194	C₂²×C₄×D₅	C₂³	1	2	yes	—
195	C₂²×C₄×D₅	C₂³	1	8	yes	—
196	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
197	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic, complemented
198	C₅×C₄⋊Q₈	C₂³	1	2	yes	complemented
199	C₅×#127	C₂³	1	1	yes	characteristic, complemented
200	C₅×#126	C₂³	1	8	yes	—
201	C₅×#126	C₂³	1	8	yes	complemented
202	C₅×#125	C₂³	1	8	yes	complemented
203	C₅×#125	C₂³	1	2	yes	complemented
204	C₅×#124	C₂³	1	8	yes	—
205	C₅×#124	C₂³	1	2	yes	complemented
206	C₅×#123	C₂³	1	4	yes	—
207	C₅×#123	C₂³	1	8	yes	—
208	C₅×#123	C₂³	1	8	yes	complemented
209	C₅×C₂²⋊Q₈	C₂³	1	4	yes	—
210	C₅×C₂²⋊Q₈	C₂³	1	4	yes	—
211	C₅×C₂²⋊Q₈	C₂³	1	8	yes	complemented
212	C₅×#121	C₂³	1	4	yes	—
213	C₅×#121	C₂³	1	4	yes	—
214	C₅×#121	C₂³	1	8	yes	—
215	C₅×#120	C₂³	1	4	yes	—
216	C₄×C₅×Q₈	C₂³	1	4	yes	complemented
217	C₄×C₅×Q₈	C₂³	1	4	yes	complemented
218	C₄×C₅×D₄	C₂³	1	8	yes	—
219	C₄×C₅×D₄	C₂³	1	8	yes	—
220	C₄×C₅×D₄	C₂³	1	4	yes	complemented
221	C₄×C₅×D₄	C₂³	1	4	yes	complemented
222	C₅×#117	C₂³	1	2	yes	—
223	C₅×#117	C₂³	1	2	yes	—
224	C₅×#117	C₂³	1	4	yes	—
225	C₅×#117	C₂³	1	2	yes	—
226	C₅×#117	C₂³	1	4	yes	complemented
227	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
228	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
229	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
230	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
231	C₂×C₄²×C₅	C₂³	1	4	yes	complemented
232	#4099	C₂³	1	4	yes	—
233	C₂×C₂²⋊Dic₅	C₂³	1	2	yes	—
234	#4093	C₂³	1	8	yes	—
235	#4093	C₂³	1	2	yes	complemented
236	#4092	C₂³	1	4	yes	—
237	#4092	C₂³	1	4	yes	—
238	#4092	C₂³	1	8	yes	complemented
239	Q₈×Dic₅	C₂³	1	4	yes	complemented
240	Q₈×Dic₅	C₂³	1	4	yes	complemented
241	#4090	C₂³	1	2	yes	complemented
242	#4090	C₂³	1	4	yes	complemented
243	#4086	C₂³	1	4	yes	complemented
244	#4086	C₂³	1	2	yes	complemented
245	#4085	C₂³	1	8	yes	—
246	#4085	C₂³	1	8	yes	—
247	#4085	C₂³	1	8	yes	—
248	#4085	C₂³	1	8	yes	—
249	#4084	C₂³	1	4	yes	—
250	#4084	C₂³	1	4	yes	—
251	#4084	C₂³	1	8	yes	—
252	#4083	C₂³	1	8	yes	—
253	#4083	C₂³	1	4	yes	—
254	#4082	C₂³	1	8	yes	—
255	#4082	C₂³	1	2	yes	complemented
256	#4081	C₂³	1	8	yes	—
257	#4081	C₂³	1	4	yes	—
258	#4081	C₂³	1	8	yes	complemented
259	D₄×Dic₅	C₂³	1	8	yes	—
260	D₄×Dic₅	C₂³	1	8	yes	—
261	D₄×Dic₅	C₂³	1	4	yes	complemented
262	D₄×Dic₅	C₂³	1	4	yes	complemented
263	#4076	C₂³	1	4	yes	—
264	#4076	C₂³	1	8	yes	—
265	#4076	C₂³	1	4	yes	—
266	#4075	C₂³	1	8	yes	—
267	#4075	C₂³	1	4	yes	—
268	#4075	C₂³	1	8	yes	complemented
269	C₄×C₂²⋊D₅	C₂³	1	8	yes	—
270	C₄×C₂²⋊D₅	C₂³	1	8	yes	—
271	C₄×C₂²⋊D₅	C₂³	1	8	yes	—
272	C₄×C₂²⋊D₅	C₂³	1	8	yes	—
273	C₄×C₂²⋊D₅	C₂³	1	8	yes	complemented
274	C₄×C₂²⋊D₅	C₂³	1	8	yes	complemented
275	C₂×#685	C₂³	1	2	yes	—
276	C₂×#685	C₂³	1	2	yes	—
277	#4072	C₂³	1	2	yes	—
278	#4072	C₂³	1	4	yes	—
279	#4072	C₂³	1	2	yes	—
280	#4072	C₂³	1	2	yes	—
281	#4072	C₂³	1	4	yes	complemented
282	C₂×C₄⋊Dic₅	C₂³	1	2	yes	—
283	#4070	C₂³	1	4	yes	—
284	#4070	C₂³	1	4	yes	—
285	#4070	C₂³	1	8	yes	complemented
286	C₂×#683	C₂³	1	2	yes	—
287	C₂×#683	C₂³	1	2	yes	—
288	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
289	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
290	C₂×C₄×Dic₅	C₂³	1	2	yes	—
291	C₂×C₄×Dic₅	C₂³	1	2	yes	—
292	C₂×C₄×Dic₅	C₂³	1	4	yes	complemented
293	C₂×C₄×Dic₅	C₂³	1	8	yes	complemented
294	#4044	C₂³	1	8	yes	—
295	#4044	C₂³	1	8	yes	—
296	#4044	C₂³	1	8	yes	—
297	#4044	C₂³	1	8	yes	complemented
298	#4044	C₂³	1	8	yes	complemented
299	#4044	C₂³	1	8	yes	complemented
300	#4043	C₂³	1	4	yes	—
301	#4043	C₂³	1	4	yes	—
302	#4043	C₂³	1	8	yes	complemented
303	#4042	C₂³	1	8	yes	—
304	#4042	C₂³	1	8	yes	—
305	#4042	C₂³	1	8	yes	complemented
306	#4042	C₂³	1	8	yes	complemented
307	#4041	C₂³	1	4	yes	—
308	#4041	C₂³	1	4	yes	—
309	#4041	C₂³	1	8	yes	—
310	#4040	C₂³	1	8	yes	—
311	#4040	C₂³	1	8	yes	—
312	#4040	C₂³	1	8	yes	—
313	#4040	C₂³	1	8	yes	complemented
314	#4040	C₂³	1	8	yes	complemented
315	#4039	C₂³	1	8	yes	—
316	#4039	C₂³	1	8	yes	—
317	#4039	C₂³	1	4	yes	complemented
318	#4039	C₂³	1	4	yes	complemented
319	#4038	C₂³	1	4	yes	—
320	#4038	C₂³	1	4	yes	—
321	#4038	C₂³	1	4	yes	—
322	#4038	C₂³	1	4	yes	—
323	#4038	C₂³	1	4	yes	—
324	#4038	C₂³	1	8	yes	complemented
325	D₅×C₄⋊C₄	C₂³	1	4	yes	—
326	D₅×C₄⋊C₄	C₂³	1	4	yes	—
327	D₅×C₄⋊C₄	C₂³	1	4	yes	—
328	D₅×C₄⋊C₄	C₂³	1	4	yes	—
329	D₅×C₄⋊C₄	C₂³	1	4	yes	—
330	D₅×C₄⋊C₄	C₂³	1	4	yes	—
331	D₅×C₄⋊C₄	C₂³	1	4	yes	—
332	D₅×C₄⋊C₄	C₂³	1	8	yes	—
333	D₅×C₄⋊C₄	C₂³	1	8	yes	—
334	D₅×C₄⋊C₄	C₂³	1	8	yes	—
335	#4036	C₂³	1	4	yes	complemented
336	#4036	C₂³	1	8	yes	complemented
337	#4036	C₂³	1	8	yes	complemented
338	#4035	C₂³	1	8	yes	complemented
339	#4035	C₂³	1	8	yes	complemented
340	#4035	C₂³	1	8	yes	complemented
341	#4035	C₂³	1	8	yes	complemented
342	#4035	C₂³	1	8	yes	complemented
343	#4034	C₂³	1	4	yes	complemented
344	#4034	C₂³	1	4	yes	complemented
345	#4034	C₂³	1	4	yes	complemented
346	#4033	C₂³	1	4	yes	complemented
347	#4033	C₂³	1	4	yes	complemented
348	#4033	C₂³	1	8	yes	complemented
349	#4033	C₂³	1	8	yes	complemented
350	#4032	C₂³	1	4	yes	—
351	#4032	C₂³	1	8	yes	—
352	#4032	C₂³	1	8	yes	complemented
353	#4031	C₂³	1	8	yes	—
354	#4031	C₂³	1	8	yes	—
355	#4031	C₂³	1	8	yes	—
356	#4031	C₂³	1	8	yes	—
357	#4031	C₂³	1	8	yes	complemented
358	#4030	C₂³	1	8	yes	—
359	#4030	C₂³	1	8	yes	—
360	#4030	C₂³	1	8	yes	—
361	#4030	C₂³	1	8	yes	—
362	#4029	C₂³	1	8	yes	—
363	#4029	C₂³	1	8	yes	—
364	#4029	C₂³	1	8	yes	—
365	#4029	C₂³	1	8	yes	complemented
366	#4029	C₂³	1	8	yes	complemented
367	#4028	C₂³	1	4	yes	—
368	#4028	C₂³	1	8	yes	—
369	#4027	C₂³	1	8	yes	—
370	#4027	C₂³	1	8	yes	—
371	#4027	C₂³	1	8	yes	—
372	#4027	C₂³	1	8	yes	—
373	#4027	C₂³	1	8	yes	complemented
374	#4027	C₂³	1	8	yes	complemented
375	D₅×C₂²⋊C₄	C₂³	1	4	yes	—
376	D₅×C₂²⋊C₄	C₂³	1	4	yes	—
377	D₅×C₂²⋊C₄	C₂³	1	4	yes	—
378	D₅×C₂²⋊C₄	C₂³	1	4	yes	—
379	D₅×C₂²⋊C₄	C₂³	1	4	yes	—
380	D₅×C₂²⋊C₄	C₂³	1	8	yes	—
381	D₅×C₂²⋊C₄	C₂³	1	8	yes	—
382	D₅×C₂²⋊C₄	C₂³	1	8	yes	—
383	D₅×C₂²⋊C₄	C₂³	1	8	yes	—
384	#4025	C₂³	1	8	yes	—
385	#4025	C₂³	1	8	yes	—
386	#4025	C₂³	1	8	yes	—
387	#4025	C₂³	1	8	yes	complemented
388	#4025	C₂³	1	8	yes	complemented
389	#4025	C₂³	1	8	yes	complemented
390	#4024	C₂³	1	8	yes	—
391	#4024	C₂³	1	8	yes	—
392	#4024	C₂³	1	8	yes	complemented
393	#4024	C₂³	1	8	yes	complemented
394	#4023	C₂³	1	4	yes	—
395	#4023	C₂³	1	4	yes	—
396	#4023	C₂³	1	4	yes	—
397	#4023	C₂³	1	4	yes	—
398	#4023	C₂³	1	4	yes	—
399	#4023	C₂³	1	8	yes	complemented
400	#4022	C₂³	1	8	yes	—
401	#4022	C₂³	1	8	yes	complemented
402	#4021	C₂³	1	8	yes	—
403	#4021	C₂³	1	2	yes	complemented
404	#4020	C₂³	1	1	yes	characteristic, complemented
405	C₄×D₂₀	C₂³	1	8	yes	—
406	C₄×D₂₀	C₂³	1	8	yes	—
407	C₄×D₂₀	C₂³	1	4	yes	complemented
408	C₄×D₂₀	C₂³	1	4	yes	complemented
409	#4018	C₂³	1	2	yes	—
410	#4018	C₂³	1	2	yes	—
411	#4018	C₂³	1	4	yes	—
412	#4018	C₂³	1	4	yes	—
413	#4018	C₂³	1	2	yes	—
414	#4018	C₂³	1	2	yes	—
415	#4018	C₂³	1	4	yes	—
416	#4018	C₂³	1	4	yes	complemented
417	#4018	C₂³	1	4	yes	complemented
418	C₄²×D₅	C₂³	1	1	yes	characteristic
419	C₄²×D₅	C₂³	1	1	yes	characteristic
420	C₄²×D₅	C₂³	1	1	yes	characteristic
421	C₄²×D₅	C₂³	1	2	yes	—
422	C₄²×D₅	C₂³	1	1	yes	characteristic
423	C₄²×D₅	C₂³	1	2	yes	—
424	C₄²×D₅	C₂³	1	2	yes	—
425	C₄²×D₅	C₂³	1	2	yes	—
426	C₄²×D₅	C₂³	1	2	yes	—
427	C₄²×D₅	C₂³	1	2	yes	—
428	C₄²×D₅	C₂³	1	4	yes	—
429	C₄²×D₅	C₂³	1	8	yes	—
430	C₄²×D₅	C₂³	1	4	yes	complemented
431	C₄²×D₅	C₂³	1	4	yes	complemented
432	C₄²×D₅	C₂³	1	8	yes	complemented
433	#4016	C₂³	1	2	yes	complemented
434	#4016	C₂³	1	8	yes	complemented
435	#4015	C₂³	1	1	yes	characteristic, complemented
436	#4015	C₂³	1	2	yes	complemented
437	C₄×Dic₁₀	C₂³	1	4	yes	complemented
438	C₄×Dic₁₀	C₂³	1	4	yes	complemented
439	C₄×Dic₁₀	C₂³	1	8	yes	complemented
440	C₄×Dic₁₀	C₂³	1	8	yes	complemented
441	#3455	—	5	4	no	—
442	#3455	—	5	2	no	—
443	#3455	—	5	2	no	—
444	#3455	—	5	4	no	—
445	#3455	—	5	4	no	—
446	#3455	—	5	1	no	—
447	#3455	—	5	1	no	—
448	#3455	—	5	8	no	—
449	#3455	—	5	2	no	—
450	#3455	—	5	2	no	—
451	#3455	—	5	1	no	—
452	#3455	D₅	1	1	yes	characteristic, direct product factor
453	C₂×#542	—	5	4	no	—
454	C₂×#541	—	5	2	no	—
455	C₂×#540	—	5	2	no	—
456	C₂×#539	—	5	4	no	—
457	C₂×#538	—	5	4	no	—
458	C₂×#533	—	5	1	no	—
459	C₂×#532	—	5	1	no	—
460	C₂×#529	—	5	8	no	—
461	C₂×#525	—	5	2	no	—
462	C₂×C₄×#41	—	5	2	no	—
463	C₂²×#117	—	5	1	no	—
464	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
465	C₂³×D₅	—	2	4	no	—
466	C₂³×D₅	—	4	4	no	—
467	C₂³×D₅	C₂⁴	1	4	yes	—
468	C₂³×D₅	C₂⁴	1	2	yes	—
469	C₂³×D₅	C₂⁴	1	1	yes	characteristic
470	C₂³×D₅	C₂⁴	1	2	yes	—
471	C₂³×D₅	C₂⁴	1	1	yes	characteristic
472	C₅×#41	—	2	8	no	—
473	C₂×C₅×Q₈	C₂⁴	1	2	yes	—
474	C₂×C₅×Q₈	C₂⁴	1	4	yes	—
475	C₂×C₅×D₄	C₂⁴	1	4	yes	—
476	C₂×C₅×D₄	C₂⁴	1	2	yes	—
477	C₂×C₅×D₄	C₂⁴	1	8	yes	—
478	C₂×C₅×D₄	C₂⁴	1	4	yes	—
479	C₂²×C₄×C₅	—	2	4	no	—
480	C₂²×C₄×C₅	C₂⁴	1	4	yes	—
481	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
482	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
483	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
484	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
485	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
486	C₂²×C₄×C₅	C₂⁴	1	8	yes	—
487	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
488	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
489	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
490	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
491	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
492	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
493	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
494	C₂²×Dic₅	—	2	4	no	—
495	C₂²×Dic₅	C₂⁴	1	2	yes	—
496	C₂²×Dic₅	C₂⁴	1	2	yes	—
497	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
498	C₂²×Dic₅	C₂⁴	1	4	yes	—
499	C₂²×Dic₅	C₂⁴	1	2	yes	—
500	C₂²×Dic₅	C₂⁴	1	2	yes	—
501	C₂²×Dic₅	C₂⁴	1	8	yes	—
502	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
503	#713	—	2	8	no	—
504	Q₈×D₅	—	2	8	no	—
505	Q₈×D₅	—	4	8	no	—
506	#711	—	2	16	no	—
507	#711	—	2	8	no	—
508	D₄×D₅	—	2	16	no	—
509	D₄×D₅	—	2	8	no	—
510	D₄×D₅	—	4	8	no	—
511	D₄×D₅	—	4	16	no	—
512	#709	—	2	8	no	—
513	#709	—	2	16	no	—
514	C₂×D₂₀	C₂⁴	1	4	yes	—
515	C₂×D₂₀	C₂⁴	1	2	yes	—
516	C₂×D₂₀	C₂⁴	1	8	yes	—
517	C₂×D₂₀	C₂⁴	1	4	yes	—
518	C₂×C₄×D₅	—	2	4	no	—
519	C₂×C₄×D₅	—	2	4	no	—
520	C₂×C₄×D₅	—	2	4	no	—
521	C₂×C₄×D₅	—	2	8	no	—
522	C₂×C₄×D₅	—	2	8	no	—
523	C₂×C₄×D₅	—	2	8	no	—
524	C₂×C₄×D₅	—	2	8	no	—
525	C₂×C₄×D₅	—	2	16	no	—
526	C₂×C₄×D₅	—	4	4	no	—
527	C₂×C₄×D₅	—	4	16	no	—
528	C₂×C₄×D₅	—	4	4	no	—
529	C₂×C₄×D₅	#41	1	8	yes	—
530	C₂×C₄×D₅	C₂⁴	1	4	yes	—
531	C₂×C₄×D₅	C₂⁴	1	2	yes	—
532	C₂×C₄×D₅	C₂⁴	1	2	yes	—
533	C₂×C₄×D₅	C₂⁴	1	2	yes	—
534	C₂×C₄×D₅	C₂⁴	1	2	yes	—
535	C₂×C₄×D₅	C₂⁴	1	2	yes	—
536	C₂×C₄×D₅	C₂⁴	1	2	yes	—
537	C₂×C₄×D₅	C₂⁴	1	4	yes	—
538	C₂×C₄×D₅	C₂⁴	1	2	yes	—
539	C₂×C₄×D₅	C₂⁴	1	4	yes	—
540	C₂×C₄×D₅	C₂⁴	1	8	yes	—
541	C₂×C₄×D₅	C₂⁴	1	4	yes	—
542	C₂×C₄×D₅	C₂⁴	1	2	yes	—
543	C₂×C₄×D₅	C₂⁴	1	4	yes	—
544	C₂×C₄×D₅	C₂⁴	1	2	yes	—
545	C₂×C₄×D₅	C₂⁴	1	2	yes	—
546	C₂×C₄×D₅	C₂⁴	1	8	yes	—
547	C₂×C₄×D₅	C₂⁴	1	8	yes	—
548	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
549	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
550	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
551	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
552	C₂×Dic₁₀	C₂⁴	1	2	yes	—
553	C₂×Dic₁₀	C₂⁴	1	4	yes	—
554	C₂×Dic₁₀	C₂⁴	1	4	yes	—
555	C₂×Dic₁₀	C₂⁴	1	8	yes	—
556	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
557	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
558	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
559	C₅×C₄⋊C₄	C₂⁴	1	8	yes	—
560	C₅×C₄⋊C₄	C₂⁴	1	8	yes	—
561	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
562	C₅×C₄⋊C₄	C₂⁴	1	8	yes	—
563	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
564	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
565	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
566	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
567	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
568	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
569	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
570	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
571	C₄²×C₅	C₂⁴	1	2	yes	—
572	C₄²×C₅	C₂⁴	1	2	yes	—
573	C₄²×C₅	C₂⁴	1	2	yes	—
574	C₄²×C₅	C₂⁴	1	1	yes	characteristic
575	C₄²×C₅	C₂⁴	1	1	yes	characteristic
576	C₄²×C₅	C₂⁴	1	4	yes	—
577	C₄²×C₅	C₂⁴	1	8	yes	—
578	C₂²⋊Dic₅	C₂⁴	1	4	yes	—
579	C₂²⋊Dic₅	C₂⁴	1	4	yes	—
580	C₂²⋊Dic₅	C₂⁴	1	4	yes	—
581	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
582	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
583	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
584	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
585	#685	C₂⁴	1	4	yes	—
586	#685	C₂⁴	1	4	yes	—
587	#685	C₂⁴	1	4	yes	—
588	#685	C₂⁴	1	4	yes	—
589	#685	C₂⁴	1	8	yes	—
590	#685	C₂⁴	1	8	yes	—
591	#685	C₂⁴	1	8	yes	—
592	#685	C₂⁴	1	8	yes	—
593	#685	C₂⁴	1	8	yes	—
594	#685	C₂⁴	1	8	yes	—
595	#685	C₂⁴	1	8	yes	—
596	#685	C₂⁴	1	8	yes	—
597	#685	C₂⁴	1	8	yes	—
598	C₄⋊Dic₅	C₂⁴	1	4	yes	—
599	C₄⋊Dic₅	C₂⁴	1	4	yes	—
600	C₄⋊Dic₅	C₂⁴	1	8	yes	—
601	C₄⋊Dic₅	C₂⁴	1	8	yes	—
602	C₄⋊Dic₅	C₂⁴	1	4	yes	—
603	C₄⋊Dic₅	C₂⁴	1	8	yes	—
604	C₄⋊Dic₅	C₂⁴	1	4	yes	—
605	C₄⋊Dic₅	C₂⁴	1	4	yes	—
606	#683	C₂⁴	1	8	yes	—
607	#683	C₂⁴	1	8	yes	—
608	#683	C₂⁴	1	8	yes	—
609	#683	C₂⁴	1	8	yes	—
610	#683	C₂⁴	1	8	yes	—
611	#683	C₂⁴	1	8	yes	—
612	#683	C₂⁴	1	4	yes	—
613	#683	C₂⁴	1	8	yes	—
614	#683	C₂⁴	1	8	yes	—
615	#683	C₂⁴	1	4	yes	—
616	#683	C₂⁴	1	4	yes	—
617	#683	C₂⁴	1	4	yes	—
618	#683	C₂⁴	1	8	yes	—
619	C₄×Dic₅	C₂⁴	1	2	yes	—
620	C₄×Dic₅	C₂⁴	1	4	yes	—
621	C₄×Dic₅	C₂⁴	1	4	yes	—
622	C₄×Dic₅	C₂⁴	1	8	yes	—
623	C₄×Dic₅	C₂⁴	1	2	yes	—
624	C₄×Dic₅	C₂⁴	1	4	yes	—
625	C₄×Dic₅	C₂⁴	1	2	yes	—
626	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
627	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
628	C₄×Dic₅	C₂⁴	1	2	yes	—
629	C₄×Dic₅	C₂⁴	1	2	yes	—
630	C₄×Dic₅	C₂⁴	1	2	yes	—
631	C₄×Dic₅	C₂⁴	1	2	yes	—
632	C₄×Dic₅	C₂⁴	1	8	yes	—
633	C₄×Dic₅	C₂⁴	1	8	yes	—
634	C₄×Dic₅	C₂⁴	1	8	yes	—
635	C₂²×#41	—	5	2	no	—
636	C₂⁴×C₄	—	5	1	no	—
637	#542	—	5	4	no	—
638	#542	—	5	8	no	—
639	#542	—	5	8	no	—
640	#542	—	5	4	no	—
641	#542	—	5	8	no	—
642	#542	—	5	4	no	—
643	#542	—	5	8	no	—
644	#542	—	5	4	no	—
645	#542	—	5	4	no	—
646	#542	—	5	4	no	—
647	#542	—	5	4	no	—
648	#542	C₂×D₅	1	4	yes	complemented
649	#541	—	5	2	no	—
650	#541	—	5	8	no	—
651	#541	—	5	8	no	—
652	#541	—	5	2	no	—
653	#541	—	5	4	no	—
654	#541	—	5	4	no	—
655	#541	—	5	2	no	—
656	#541	C₂×D₅	1	2	yes	complemented
657	#540	—	5	2	no	—
658	#540	—	5	2	no	—
659	#540	—	5	8	no	—
660	#540	—	5	8	no	—
661	#540	—	5	4	no	—
662	#540	—	5	4	no	—
663	#540	—	5	2	no	—
664	#540	C₂×D₅	1	2	yes	complemented
665	#539	—	5	8	no	—
666	#539	—	5	8	no	—
667	#539	—	5	8	no	—
668	#539	—	5	8	no	—
669	#539	—	5	4	no	—
670	#539	—	5	8	no	—
671	#539	—	5	4	no	—
672	#539	—	5	8	no	—
673	#539	—	5	4	no	—
674	#539	C₂×D₅	1	4	yes	complemented
675	#538	—	5	8	no	—
676	#538	—	5	8	no	—
677	#538	—	5	8	no	—
678	#538	—	5	4	no	—
679	#538	—	5	8	no	—
680	#538	—	5	4	no	—
681	#538	—	5	8	no	—
682	#538	—	5	8	no	—
683	#538	—	5	4	no	—
684	#538	C₂×D₅	1	4	yes	complemented
685	#533	—	5	2	no	—
686	#533	—	5	2	no	—
687	#533	—	5	4	no	—
688	#533	—	5	4	no	—
689	#533	—	5	2	no	—
690	#533	—	5	1	no	—
691	#533	C₂×D₅	1	1	yes	characteristic, complemented
692	#532	—	5	2	no	—
693	#532	—	5	1	no	—
694	#532	—	5	1	no	—
695	#532	—	5	2	no	—
696	#532	—	5	4	no	—
697	#532	—	5	4	no	—
698	#532	—	5	1	no	—
699	#532	C₂×D₅	1	1	yes	characteristic, complemented
700	C₂×C₄⋊Q₈	—	5	1	no	—
701	C₂×C₄⋊Q₈	—	5	2	no	—
702	C₂×#127	—	5	1	no	—
703	#529	—	5	8	no	—
704	#529	—	5	8	no	—
705	#529	—	5	8	no	—
706	#529	—	5	8	no	—
707	#529	—	5	8	no	—
708	#529	—	5	8	no	—
709	#529	—	5	8	no	—
710	#529	—	5	8	no	—
711	#529	—	5	8	no	—
712	#529	—	5	8	no	—
713	#529	—	5	8	no	—
714	#529	—	5	8	no	—
715	#529	—	5	8	no	—
716	#529	—	5	8	no	—
717	#529	—	5	8	no	—
718	#529	C₂×D₅	1	8	yes	complemented
719	C₂×#126	—	5	8	no	—
720	C₂×#126	—	5	8	no	—
721	C₂×#125	—	5	8	no	—
722	C₂×#125	—	5	2	no	—
723	C₂×#124	—	5	8	no	—
724	C₂×#124	—	5	2	no	—
725	#525	—	5	2	no	—
726	#525	—	5	2	no	—
727	#525	—	5	4	no	—
728	#525	—	5	4	no	—
729	#525	—	5	4	no	—
730	#525	—	5	4	no	—
731	#525	—	5	8	no	—
732	#525	—	5	2	no	—
733	#525	C₂×D₅	1	2	yes	complemented
734	C₂×#123	—	5	4	no	—
735	C₂×#123	—	5	8	no	—
736	C₂×#123	—	5	8	no	—
737	C₂×C₂²⋊Q₈	—	5	4	no	—
738	C₂×C₂²⋊Q₈	—	5	4	no	—
739	C₂×C₂²⋊Q₈	—	5	8	no	—
740	C₂×#121	—	5	4	no	—
741	C₂×#121	—	5	8	no	—
742	C₂×#121	—	5	4	no	—
743	C₂×#120	—	5	4	no	—
744	C₄×#41	—	5	2	no	—
745	C₄×#41	—	5	4	no	—
746	C₄×#41	—	5	8	no	—
747	C₄×#41	—	5	4	no	—
748	C₄×#41	—	5	2	no	—
749	C₄×#41	—	5	4	no	—
750	C₄×#41	—	5	2	no	—
751	C₄×#41	—	5	4	no	—
752	C₄×#41	C₂×D₅	1	2	yes	complemented
753	C₂×C₄×Q₈	—	5	4	no	—
754	C₂×C₄×Q₈	—	5	4	no	—
755	C₂×C₄×D₄	—	5	8	no	—
756	C₂×C₄×D₄	—	5	8	no	—
757	C₂×C₄×D₄	—	5	4	no	—
758	C₂×C₄×D₄	—	5	4	no	—
759	C₂×#117	—	5	1	no	—
760	C₂×#117	—	5	4	no	—
761	C₂×#117	—	5	2	no	—
762	C₂×#117	—	5	2	no	—
763	C₂×#117	—	5	2	no	—
764	C₂×#117	—	5	4	no	—
765	C₂×#117	—	5	2	no	—
766	C₂×#117	—	5	2	no	—
767	C₂×#117	—	5	4	no	—
768	C₂×#117	—	5	2	no	—
769	C₂×#117	—	5	2	no	—
770	C₂×#117	—	5	1	no	—
771	C₂×#117	—	5	1	no	—
772	C₂×#117	C₂×D₅	1	1	yes	characteristic, complemented
773	C₂²×C₄⋊C₄	—	5	2	no	—
774	C₂²×C₂²⋊C₄	—	5	2	no	—
775	C₂²×C₄²	—	5	1	no	—
776	C₂²×C₄²	—	5	1	no	—
777	C₂²×C₄²	—	5	4	no	—
778	C₂³×C₅	—	2	2	no	—
779	C₂³×C₅	—	4	2	no	—
780	C₂³×C₅	C₂⁵	1	2	yes	—
781	C₂³×C₅	C₂⁵	1	4	yes	—
782	C₂³×C₅	C₂⁵	1	1	yes	characteristic
783	C₂²×D₅	—	2	4	no	—
784	C₂²×D₅	—	2	2	no	—
785	C₂²×D₅	—	2	4	no	—
786	C₂²×D₅	—	2	4	no	—
787	C₂²×D₅	—	2	8	no	—
788	C₂²×D₅	—	2	16	no	—
789	C₂²×D₅	—	2	8	no	—
790	C₂²×D₅	—	4	4	no	—
791	C₂²×D₅	—	4	2	no	—
792	C₂²×D₅	—	4	16	no	—
793	C₂²×D₅	C₂×#41	1	4	yes	—
794	C₂²×D₅	C₂⁵	1	2	yes	—
795	C₂²×D₅	C₂⁵	1	4	yes	—
796	C₂²×D₅	C₂⁵	1	1	yes	characteristic
797	C₂²×D₅	C₂⁵	1	1	yes	characteristic
798	C₅×Q₈	—	2	4	no	—
799	C₅×Q₈	—	4	4	no	—
800	C₅×D₄	—	2	8	no	—
801	C₅×D₄	—	2	4	no	—
802	C₅×D₄	—	4	8	no	—
803	C₅×D₄	—	4	4	no	—
804	C₂×C₄×C₅	—	2	2	no	—
805	C₂×C₄×C₅	—	2	4	no	—
806	C₂×C₄×C₅	—	2	4	no	—
807	C₂×C₄×C₅	—	2	8	no	—
808	C₂×C₄×C₅	—	4	2	no	—
809	C₂×C₄×C₅	—	4	8	no	—
810	C₂×C₄×C₅	—	4	2	no	—
811	C₂×C₄×C₅	C₂×#41	1	4	yes	—
812	C₂×C₄×C₅	C₂⁵	1	4	yes	—
813	C₂×C₄×C₅	C₂⁵	1	2	yes	—
814	C₂×C₄×C₅	C₂⁵	1	4	yes	—
815	C₂×C₄×C₅	C₂⁵	1	8	yes	—
816	C₂×C₄×C₅	C₂⁵	1	2	yes	—
817	C₂×C₄×C₅	C₂⁵	1	2	yes	—
818	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
819	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
820	C₂²⋊D₅	—	2	8	no	—
821	C₂²⋊D₅	—	2	8	no	—
822	C₂²⋊D₅	—	2	8	no	—
823	C₂²⋊D₅	—	4	8	no	—
824	C₂²⋊D₅	—	4	8	no	—
825	C₂²⋊D₅	—	4	8	no	—
826	C₂×Dic₅	—	2	2	no	—
827	C₂×Dic₅	—	2	4	no	—
828	C₂×Dic₅	—	2	4	no	—
829	C₂×Dic₅	—	2	8	no	—
830	C₂×Dic₅	—	4	2	no	—
831	C₂×Dic₅	—	4	8	no	—
832	C₂×Dic₅	—	4	2	no	—
833	C₂×Dic₅	C₂×#41	1	4	yes	—
834	C₂×Dic₅	C₂⁵	1	4	yes	—
835	C₂×Dic₅	C₂⁵	1	2	yes	—
836	C₂×Dic₅	C₂⁵	1	4	yes	—
837	C₂×Dic₅	C₂⁵	1	8	yes	—
838	C₂×Dic₅	C₂⁵	1	2	yes	—
839	C₂×Dic₅	C₂⁵	1	2	yes	—
840	C₂×Dic₅	C₂⁵	1	1	yes	characteristic
841	C₂×Dic₅	C₂⁵	1	1	yes	characteristic
842	D₂₀	—	2	8	no	—
843	D₂₀	—	2	4	no	—
844	D₂₀	—	4	8	no	—
845	D₂₀	—	4	4	no	—
846	C₄×D₅	—	2	4	no	—
847	C₄×D₅	—	2	4	no	—
848	C₄×D₅	—	2	8	no	—
849	C₄×D₅	—	2	8	no	—
850	C₄×D₅	—	2	4	no	—
851	C₄×D₅	—	2	16	no	—
852	C₄×D₅	—	2	4	no	—
853	C₄×D₅	—	2	4	no	—
854	C₄×D₅	—	2	4	no	—
855	C₄×D₅	—	2	8	no	—
856	C₄×D₅	—	2	4	no	—
857	C₄×D₅	—	2	4	no	—
858	C₄×D₅	—	2	8	no	—
859	C₄×D₅	—	4	2	no	—
860	C₄×D₅	—	4	8	no	—
861	C₄×D₅	—	4	8	no	—
862	C₄×D₅	—	4	4	no	—
863	C₄×D₅	—	4	2	no	—
864	C₄×D₅	C₂×#41	1	4	yes	—
865	C₄×D₅	C₂×#41	1	4	yes	—
866	C₄×D₅	C₂×#41	1	4	yes	—
867	C₄×D₅	C₂×#41	1	4	yes	—
868	Dic₁₀	—	2	4	no	—
869	Dic₁₀	—	2	8	no	—
870	Dic₁₀	—	4	8	no	—
871	Dic₁₀	—	4	4	no	—
872	C₂⁵	—	5	1	no	—
873	C₂×#41	—	5	2	no	—
874	C₂×#41	—	5	4	no	—
875	C₂×#41	—	5	2	no	—
876	C₂×#41	—	5	4	no	—
877	C₂×#41	—	5	2	no	—
878	C₂×#41	—	10	16	no	—
879	C₂×#41	C₂²×D₅	1	2	yes	—
880	C₂²×Q₈	—	5	2	no	—
881	C₂²×Q₈	—	5	4	no	—
882	C₂²×D₄	—	5	4	no	—
883	C₂²×D₄	—	5	2	no	—
884	C₂²×D₄	—	5	8	no	—
885	C₂²×D₄	—	5	4	no	—
886	C₂³×C₄	—	5	1	no	—
887	C₂³×C₄	—	5	1	no	—
888	C₂³×C₄	—	5	1	no	—
889	C₂³×C₄	—	5	2	no	—
890	C₂³×C₄	—	5	2	no	—
891	C₂³×C₄	—	5	1	no	—
892	C₂³×C₄	—	5	2	no	—
893	C₂³×C₄	—	5	2	no	—
894	C₂³×C₄	—	5	1	no	—
895	C₂³×C₄	—	5	4	no	—
896	C₂³×C₄	—	5	2	no	—
897	C₂³×C₄	—	5	2	no	—
898	C₂³×C₄	—	5	8	no	—
899	C₂³×C₄	—	10	8	no	—
900	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic
901	C₄⋊Q₈	—	5	2	no	—
902	C₄⋊Q₈	—	5	4	no	—
903	C₄⋊Q₈	—	5	4	no	—
904	C₄⋊Q₈	—	5	4	no	—
905	C₄⋊Q₈	—	5	4	no	—
906	C₄⋊Q₈	—	5	1	no	—
907	C₄⋊Q₈	—	5	2	no	—
908	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic, complemented
909	C₄⋊Q₈	C₂²×D₅	1	2	yes	complemented
910	#127	—	5	4	no	—
911	#127	—	5	2	no	—
912	#127	—	5	1	no	—
913	#127	C₂²×D₅	1	1	yes	characteristic, complemented
914	#126	—	5	8	no	—
915	#126	—	5	8	no	—
916	#126	—	5	8	no	—
917	#126	—	5	8	no	—
918	#126	—	5	8	no	—
919	#126	—	5	8	no	—
920	#126	—	5	8	no	—
921	#126	—	5	8	no	—
922	#126	—	5	8	no	—
923	#126	—	5	8	no	—
924	#126	—	5	8	no	—
925	#126	—	5	8	no	—
926	#126	—	5	8	no	—
927	#126	—	5	8	no	—
928	#126	C₂²×D₅	1	8	yes	—
929	#126	C₂²×D₅	1	8	yes	complemented
930	#125	—	5	8	no	—
931	#125	—	5	8	no	—
932	#125	—	5	8	no	—
933	#125	—	5	8	no	—
934	#125	—	5	8	no	—
935	#125	—	5	8	no	—
936	#125	—	5	8	no	—
937	#125	—	5	4	no	—
938	#125	—	5	8	no	—
939	#125	—	5	2	no	—
940	#125	C₂²×D₅	1	8	yes	complemented
941	#125	C₂²×D₅	1	2	yes	complemented
942	#124	—	5	8	no	—
943	#124	—	5	2	no	—
944	#124	—	5	8	no	—
945	#124	—	5	2	no	—
946	#124	—	5	8	no	—
947	#124	—	5	8	no	—
948	#124	—	5	8	no	—
949	#124	—	5	8	no	—
950	#124	—	5	8	no	—
951	#124	—	5	8	no	—
952	#124	—	5	2	no	—
953	#124	C₂²×D₅	1	8	yes	—
954	#124	C₂²×D₅	1	2	yes	complemented
955	#123	—	5	4	no	—
956	#123	—	5	8	no	—
957	#123	—	5	8	no	—
958	#123	—	5	4	no	—
959	#123	—	5	8	no	—
960	#123	—	5	8	no	—
961	#123	—	5	8	no	—
962	#123	—	5	8	no	—
963	#123	—	5	8	no	—
964	#123	—	5	8	no	—
965	#123	—	5	8	no	—
966	#123	—	5	8	no	—
967	#123	—	5	4	no	—
968	#123	—	5	8	no	—
969	#123	—	5	8	no	—
970	#123	—	5	8	no	—
971	#123	—	5	8	no	—
972	#123	—	5	8	no	—
973	#123	—	5	8	no	—
974	#123	C₂²×D₅	1	4	yes	—
975	#123	C₂²×D₅	1	8	yes	—
976	#123	C₂²×D₅	1	8	yes	complemented
977	C₂²⋊Q₈	—	5	4	no	—
978	C₂²⋊Q₈	—	5	8	no	—
979	C₂²⋊Q₈	—	5	4	no	—
980	C₂²⋊Q₈	—	5	4	no	—
981	C₂²⋊Q₈	—	5	8	no	—
982	C₂²⋊Q₈	—	5	4	no	—
983	C₂²⋊Q₈	—	5	8	no	—
984	C₂²⋊Q₈	—	5	4	no	—
985	C₂²⋊Q₈	—	5	8	no	—
986	C₂²⋊Q₈	—	5	8	no	—
987	C₂²⋊Q₈	—	5	8	no	—
988	C₂²⋊Q₈	—	5	8	no	—
989	C₂²⋊Q₈	—	5	4	no	—
990	C₂²⋊Q₈	—	5	8	no	—
991	C₂²⋊Q₈	—	5	8	no	—
992	C₂²⋊Q₈	—	5	8	no	—
993	C₂²⋊Q₈	—	5	8	no	—
994	C₂²⋊Q₈	C₂²×D₅	1	4	yes	—
995	C₂²⋊Q₈	C₂²×D₅	1	4	yes	—
996	C₂²⋊Q₈	C₂²×D₅	1	8	yes	complemented
997	#121	—	5	4	no	—
998	#121	—	5	8	no	—
999	#121	—	5	8	no	—
1000	#121	—	5	8	no	—
1001	#121	—	5	8	no	—
1002	#121	—	5	4	no	—
1003	#121	—	5	8	no	—
1004	#121	—	5	4	no	—
1005	#121	—	5	8	no	—
1006	#121	—	5	4	no	—
1007	#121	—	5	4	no	—
1008	#121	—	5	8	no	—
1009	#121	—	5	4	no	—
1010	#121	—	5	8	no	—
1011	#121	—	5	8	no	—
1012	#121	—	5	8	no	—
1013	#121	—	5	8	no	—
1014	#121	C₂²×D₅	1	4	yes	—
1015	#121	C₂²×D₅	1	8	yes	—
1016	#121	C₂²×D₅	1	4	yes	—
1017	#120	—	5	4	no	—
1018	#120	—	5	4	no	—
1019	#120	—	5	8	no	—
1020	#120	—	5	8	no	—
1021	#120	—	5	4	no	—
1022	#120	C₂²×D₅	1	4	yes	—
1023	C₄×Q₈	—	5	4	no	—
1024	C₄×Q₈	—	5	4	no	—
1025	C₄×Q₈	—	5	8	no	—
1026	C₄×Q₈	—	5	4	no	—
1027	C₄×Q₈	—	5	4	no	—
1028	C₄×Q₈	—	5	8	no	—
1029	C₄×Q₈	—	5	8	no	—
1030	C₄×Q₈	—	5	4	no	—
1031	C₄×Q₈	—	5	4	no	—
1032	C₄×Q₈	—	5	8	no	—
1033	C₄×Q₈	C₂²×D₅	1	4	yes	complemented
1034	C₄×Q₈	C₂²×D₅	1	4	yes	complemented
1035	C₄×D₄	—	5	8	no	—
1036	C₄×D₄	—	5	4	no	—
1037	C₄×D₄	—	5	8	no	—
1038	C₄×D₄	—	5	4	no	—
1039	C₄×D₄	—	5	8	no	—
1040	C₄×D₄	—	5	8	no	—
1041	C₄×D₄	—	5	8	no	—
1042	C₄×D₄	—	5	8	no	—
1043	C₄×D₄	—	5	8	no	—
1044	C₄×D₄	—	5	8	no	—
1045	C₄×D₄	—	5	8	no	—
1046	C₄×D₄	—	5	4	no	—
1047	C₄×D₄	—	5	8	no	—
1048	C₄×D₄	—	5	4	no	—
1049	C₄×D₄	—	5	8	no	—
1050	C₄×D₄	—	5	8	no	—
1051	C₄×D₄	—	5	8	no	—
1052	C₄×D₄	—	5	8	no	—
1053	C₄×D₄	—	5	8	no	—
1054	C₄×D₄	—	5	8	no	—
1055	C₄×D₄	—	5	8	no	—
1056	C₄×D₄	—	5	4	no	—
1057	C₄×D₄	—	5	8	no	—
1058	C₄×D₄	—	5	4	no	—
1059	C₄×D₄	C₂²×D₅	1	8	yes	—
1060	C₄×D₄	C₂²×D₅	1	8	yes	—
1061	C₄×D₄	C₂²×D₅	1	4	yes	complemented
1062	C₄×D₄	C₂²×D₅	1	4	yes	complemented
1063	#117	—	5	4	no	—
1064	#117	—	5	2	no	—
1065	#117	—	5	2	no	—
1066	#117	—	5	2	no	—
1067	#117	—	5	4	no	—
1068	#117	—	5	4	no	—
1069	#117	—	5	4	no	—
1070	#117	—	5	4	no	—
1071	#117	—	5	4	no	—
1072	#117	—	5	4	no	—
1073	#117	—	5	8	no	—
1074	#117	—	5	4	no	—
1075	#117	—	5	4	no	—
1076	#117	—	5	4	no	—
1077	#117	—	5	4	no	—
1078	#117	—	5	4	no	—
1079	#117	—	5	8	no	—
1080	#117	—	5	4	no	—
1081	#117	—	5	4	no	—
1082	#117	—	5	2	no	—
1083	#117	—	5	2	no	—
1084	#117	—	5	2	no	—
1085	#117	—	5	2	no	—
1086	#117	—	5	4	no	—
1087	#117	—	5	4	no	—
1088	#117	—	5	4	no	—
1089	#117	C₂²×D₅	1	4	yes	—
1090	#117	C₂²×D₅	1	2	yes	—
1091	#117	C₂²×D₅	1	2	yes	—
1092	#117	C₂²×D₅	1	2	yes	—
1093	#117	C₂²×D₅	1	4	yes	complemented
1094	C₂×C₄⋊C₄	—	5	2	no	—
1095	C₂×C₄⋊C₄	—	5	2	no	—
1096	C₂×C₄⋊C₄	—	5	2	no	—
1097	C₂×C₄⋊C₄	—	5	4	no	—
1098	C₂×C₄⋊C₄	—	5	4	no	—
1099	C₂×C₄⋊C₄	—	5	4	no	—
1100	C₂×C₄⋊C₄	—	5	4	no	—
1101	C₂×C₄⋊C₄	—	5	4	no	—
1102	C₂×C₄⋊C₄	—	5	8	no	—
1103	C₂×C₄⋊C₄	—	5	4	no	—
1104	C₂×C₄⋊C₄	—	5	8	no	—
1105	C₂×C₄⋊C₄	—	5	8	no	—
1106	C₂×C₄⋊C₄	—	5	4	no	—
1107	C₂×C₄⋊C₄	C₂²×D₅	1	2	yes	—
1108	C₂×C₂²⋊C₄	—	5	2	no	—
1109	C₂×C₂²⋊C₄	—	5	2	no	—
1110	C₂×C₂²⋊C₄	—	5	2	no	—
1111	C₂×C₂²⋊C₄	—	5	4	no	—
1112	C₂×C₂²⋊C₄	—	5	4	no	—
1113	C₂×C₂²⋊C₄	—	5	4	no	—
1114	C₂×C₂²⋊C₄	—	5	4	no	—
1115	C₂×C₂²⋊C₄	—	5	4	no	—
1116	C₂×C₂²⋊C₄	—	5	8	no	—
1117	C₂×C₂²⋊C₄	—	5	8	no	—
1118	C₂×C₂²⋊C₄	—	5	8	no	—
1119	C₂×C₂²⋊C₄	—	5	8	no	—
1120	C₂×C₂²⋊C₄	C₂²×D₅	1	2	yes	—
1121	C₂×C₄²	—	5	2	no	—
1122	C₂×C₄²	—	5	1	no	—
1123	C₂×C₄²	—	5	2	no	—
1124	C₂×C₄²	—	5	1	no	—
1125	C₂×C₄²	—	5	8	no	—
1126	C₂×C₄²	—	5	4	no	—
1127	C₂×C₄²	—	5	2	no	—
1128	C₂×C₄²	—	5	2	no	—
1129	C₂×C₄²	—	5	2	no	—
1130	C₂×C₄²	—	5	4	no	—
1131	C₂×C₄²	—	5	2	no	—
1132	C₂×C₄²	—	5	2	no	—
1133	C₂×C₄²	—	5	1	no	—
1134	C₂×C₄²	—	5	1	no	—
1135	C₂×C₄²	—	5	1	no	—
1136	C₂×C₄²	—	5	1	no	—
1137	C₂×C₄²	—	5	2	no	—
1138	C₂×C₄²	—	5	8	no	—
1139	C₂×C₄²	—	5	8	no	—
1140	C₂×C₄²	—	5	4	no	—
1141	C₂×C₄²	—	5	4	no	—
1142	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
1143	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
1144	C₂×C₄²	C₂²×D₅	1	4	yes	complemented
1145	C₂²×C₅	—	2	2	no	—
1146	C₂²×C₅	—	2	2	no	—
1147	C₂²×C₅	—	2	4	no	—
1148	C₂²×C₅	—	2	8	no	—
1149	C₂²×C₅	—	2	4	no	—
1150	C₂²×C₅	—	4	4	no	—
1151	C₂²×C₅	C₂²×#41	1	2	yes	—
1152	C₂²×C₅	C₂⁶	1	1	yes	characteristic
1153	C₂×D₅	—	2	2	no	—
1154	C₂×D₅	—	2	8	no	—
1155	C₂×D₅	—	2	2	no	—
1156	C₂×D₅	—	2	4	no	—
1157	C₂×D₅	—	2	8	no	—
1158	C₂×D₅	—	2	4	no	—
1159	C₂×D₅	—	4	8	no	—
1160	C₂×D₅	—	4	4	no	—
1161	C₂×D₅	—	4	16	no	—
1162	C₂×D₅	—	4	8	no	—
1163	C₂×D₅	C₂²×#41	1	2	yes	—
1164	C₂×D₅	C₂²×#41	1	2	yes	—
1165	C₂×D₅	#585	1	4	yes	—
1166	C₄×C₅	—	2	4	no	—
1167	C₄×C₅	—	2	2	no	—
1168	C₄×C₅	—	2	2	no	—
1169	C₄×C₅	—	2	8	no	—
1170	C₄×C₅	—	2	4	no	—
1171	C₄×C₅	—	2	2	no	—
1172	C₄×C₅	C₂²×#41	1	2	yes	—
1173	C₄×C₅	C₂²×#41	1	2	yes	—
1174	Dic₅	—	2	4	no	—
1175	Dic₅	—	2	2	no	—
1176	Dic₅	—	2	2	no	—
1177	Dic₅	—	2	8	no	—
1178	Dic₅	—	2	4	no	—
1179	Dic₅	—	2	2	no	—
1180	Dic₅	C₂²×#41	1	2	yes	—
1181	Dic₅	C₂²×#41	1	2	yes	—
1182	C₂⁴	—	5	1	no	—
1183	C₂⁴	—	5	2	no	—
1184	C₂⁴	—	5	4	no	—
1185	C₂⁴	—	5	2	no	—
1186	C₂⁴	—	5	1	no	—
1187	C₂⁴	—	10	4	no	—
1188	C₂⁴	—	20	4	no	—
1189	C₂⁴	C₂³×D₅	1	1	yes	characteristic
1190	#41	—	2	8	no	—
1191	#41	—	10	16	no	—
1192	#41	—	10	16	no	—
1193	#41	—	10	8	no	—
1194	#41	—	10	8	no	—
1195	#41	—	10	8	no	—
1196	C₂×Q₈	—	5	4	no	—
1197	C₂×Q₈	—	5	2	no	—
1198	C₂×Q₈	—	5	8	no	—
1199	C₂×Q₈	—	5	4	no	—
1200	C₂×Q₈	—	10	8	no	—
1201	C₂×Q₈	—	20	8	no	—
1202	C₂×Q₈	C₂³×D₅	1	2	yes	—
1203	C₂×Q₈	C₂³×D₅	1	4	yes	—
1204	C₂×D₄	—	5	4	no	—
1205	C₂×D₄	—	5	4	no	—
1206	C₂×D₄	—	5	4	no	—
1207	C₂×D₄	—	5	8	no	—
1208	C₂×D₄	—	5	8	no	—
1209	C₂×D₄	—	5	8	no	—
1210	C₂×D₄	—	5	4	no	—
1211	C₂×D₄	—	5	2	no	—
1212	C₂×D₄	—	5	8	no	—
1213	C₂×D₄	—	5	4	no	—
1214	C₂×D₄	—	10	8	no	—
1215	C₂×D₄	—	10	16	no	—
1216	C₂×D₄	—	20	8	no	—
1217	C₂×D₄	—	20	16	no	—
1218	C₂×D₄	C₂³×D₅	1	4	yes	—
1219	C₂×D₄	C₂³×D₅	1	2	yes	—
1220	C₂×D₄	C₂³×D₅	1	8	yes	—
1221	C₂×D₄	C₂³×D₅	1	4	yes	—
1222	C₂²×C₄	—	2	4	no	—
1223	C₂²×C₄	—	5	1	no	—
1224	C₂²×C₄	—	5	8	no	—
1225	C₂²×C₄	—	5	1	no	—
1226	C₂²×C₄	—	5	1	no	—
1227	C₂²×C₄	—	5	1	no	—
1228	C₂²×C₄	—	5	1	no	—
1229	C₂²×C₄	—	5	4	no	—
1230	C₂²×C₄	—	5	1	no	—
1231	C₂²×C₄	—	5	2	no	—
1232	C₂²×C₄	—	5	2	no	—
1233	C₂²×C₄	—	5	2	no	—
1234	C₂²×C₄	—	5	2	no	—
1235	C₂²×C₄	—	5	8	no	—
1236	C₂²×C₄	—	5	4	no	—
1237	C₂²×C₄	—	5	2	no	—
1238	C₂²×C₄	—	5	4	no	—
1239	C₂²×C₄	—	5	8	no	—
1240	C₂²×C₄	—	5	2	no	—
1241	C₂²×C₄	—	5	4	no	—
1242	C₂²×C₄	—	5	2	no	—
1243	C₂²×C₄	—	5	2	no	—
1244	C₂²×C₄	—	5	2	no	—
1245	C₂²×C₄	—	5	2	no	—
1246	C₂²×C₄	—	5	2	no	—
1247	C₂²×C₄	—	5	4	no	—
1248	C₂²×C₄	—	5	2	no	—
1249	C₂²×C₄	—	5	4	no	—
1250	C₂²×C₄	—	5	2	no	—
1251	C₂²×C₄	—	5	2	no	—
1252	C₂²×C₄	—	5	8	no	—
1253	C₂²×C₄	—	5	8	no	—
1254	C₂²×C₄	—	10	4	no	—
1255	C₂²×C₄	—	10	8	no	—
1256	C₂²×C₄	—	10	8	no	—
1257	C₂²×C₄	—	10	8	no	—
1258	C₂²×C₄	—	10	8	no	—
1259	C₂²×C₄	—	10	16	no	—
1260	C₂²×C₄	—	10	4	no	—
1261	C₂²×C₄	—	10	4	no	—
1262	C₂²×C₄	—	10	4	no	—
1263	C₂²×C₄	—	20	4	no	—
1264	C₂²×C₄	—	20	16	no	—
1265	C₂²×C₄	—	20	4	no	—
1266	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1267	C₂²×C₄	C₂³×D₅	1	2	yes	—
1268	C₂²×C₄	C₂³×D₅	1	4	yes	—
1269	C₂²×C₄	C₂³×D₅	1	2	yes	—
1270	C₂²×C₄	C₂³×D₅	1	2	yes	—
1271	C₂²×C₄	C₂³×D₅	1	2	yes	—
1272	C₂²×C₄	C₂³×D₅	1	8	yes	—
1273	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1274	C₄⋊C₄	—	5	4	no	—
1275	C₄⋊C₄	—	5	4	no	—
1276	C₄⋊C₄	—	5	4	no	—
1277	C₄⋊C₄	—	5	4	no	—
1278	C₄⋊C₄	—	5	4	no	—
1279	C₄⋊C₄	—	5	4	no	—
1280	C₄⋊C₄	—	5	8	no	—
1281	C₄⋊C₄	—	5	4	no	—
1282	C₄⋊C₄	—	5	8	no	—
1283	C₄⋊C₄	—	5	8	no	—
1284	C₄⋊C₄	—	5	8	no	—
1285	C₄⋊C₄	—	5	8	no	—
1286	C₄⋊C₄	—	5	4	no	—
1287	C₄⋊C₄	—	5	8	no	—
1288	C₄⋊C₄	—	5	8	no	—
1289	C₄⋊C₄	—	5	8	no	—
1290	C₄⋊C₄	—	5	8	no	—
1291	C₄⋊C₄	—	5	8	no	—
1292	C₄⋊C₄	—	5	8	no	—
1293	C₄⋊C₄	—	5	8	no	—
1294	C₄⋊C₄	—	5	4	no	—
1295	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1296	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1297	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1298	C₄⋊C₄	C₂³×D₅	1	8	yes	—
1299	C₄⋊C₄	C₂³×D₅	1	8	yes	—
1300	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1301	C₄⋊C₄	C₂³×D₅	1	8	yes	—
1302	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1303	C₂²⋊C₄	—	5	4	no	—
1304	C₂²⋊C₄	—	5	4	no	—
1305	C₂²⋊C₄	—	5	4	no	—
1306	C₂²⋊C₄	—	5	8	no	—
1307	C₂²⋊C₄	—	5	8	no	—
1308	C₂²⋊C₄	—	5	8	no	—
1309	C₂²⋊C₄	—	5	8	no	—
1310	C₂²⋊C₄	—	5	4	no	—
1311	C₂²⋊C₄	—	5	4	no	—
1312	C₂²⋊C₄	—	5	4	no	—
1313	C₂²⋊C₄	—	5	4	no	—
1314	C₂²⋊C₄	—	5	8	no	—
1315	C₂²⋊C₄	—	5	8	no	—
1316	C₂²⋊C₄	—	5	8	no	—
1317	C₂²⋊C₄	—	5	8	no	—
1318	C₂²⋊C₄	—	5	8	no	—
1319	C₂²⋊C₄	—	5	8	no	—
1320	C₂²⋊C₄	—	5	8	no	—
1321	C₂²⋊C₄	—	5	8	no	—
1322	C₂²⋊C₄	—	5	8	no	—
1323	C₂²⋊C₄	C₂³×D₅	1	4	yes	—
1324	C₂²⋊C₄	C₂³×D₅	1	4	yes	—
1325	C₂²⋊C₄	C₂³×D₅	1	4	yes	—
1326	C₂²⋊C₄	C₂³×D₅	1	8	yes	—
1327	C₂²⋊C₄	C₂³×D₅	1	8	yes	—
1328	C₂²⋊C₄	C₂³×D₅	1	8	yes	—
1329	C₂²⋊C₄	C₂³×D₅	1	8	yes	—
1330	C₄²	—	5	4	no	—
1331	C₄²	—	5	2	no	—
1332	C₄²	—	5	8	no	—
1333	C₄²	—	5	2	no	—
1334	C₄²	—	5	4	no	—
1335	C₄²	—	5	2	no	—
1336	C₄²	—	5	2	no	—
1337	C₄²	—	5	1	no	—
1338	C₄²	—	5	2	no	—
1339	C₄²	—	5	1	no	—
1340	C₄²	—	5	8	no	—
1341	C₄²	—	5	8	no	—
1342	C₄²	—	5	8	no	—
1343	C₄²	—	5	2	no	—
1344	C₄²	—	5	2	no	—
1345	C₄²	—	5	4	no	—
1346	C₄²	C₂³×D₅	1	2	yes	—
1347	C₄²	C₂³×D₅	1	1	yes	characteristic
1348	C₄²	C₂³×D₅	1	1	yes	characteristic
1349	C₄²	C₂³×D₅	1	8	yes	—
1350	C₄²	C₂³×D₅	1	2	yes	—
1351	C₄²	C₂³×D₅	1	2	yes	—
1352	C₄²	C₂³×D₅	1	4	yes	—
1353	C₂×C₅	—	2	2	no	—
1354	C₂×C₅	—	4	2	no	—
1355	C₂×C₅	—	4	4	no	—
1356	C₂×C₅	C₂³×#41	1	1	yes	characteristic
1357	C₂×C₅	C₂×#585	1	2	yes	—
1358	D₅	—	2	2	no	—
1359	D₅	—	4	4	no	—
1360	D₅	—	4	2	no	—
1361	D₅	#3455	1	4	yes	direct product factor
1362	C₂³	—	2	2	no	—
1363	C₂³	—	4	2	no	—
1364	C₂³	—	5	1	no	—
1365	C₂³	—	5	4	no	—
1366	C₂³	—	5	1	no	—
1367	C₂³	—	5	2	no	—
1368	C₂³	—	5	4	no	—
1369	C₂³	—	10	4	no	—
1370	C₂³	—	10	4	no	—
1371	C₂³	—	10	4	no	—
1372	C₂³	—	10	8	no	—
1373	C₂³	—	10	16	no	—
1374	C₂³	—	10	8	no	—
1375	C₂³	—	10	2	no	—
1376	C₂³	—	20	2	no	—
1377	C₂³	—	20	4	no	—
1378	C₂³	—	20	16	no	—
1379	C₂³	C₂⁴×D₅	1	2	yes	—
1380	C₂³	C₂⁴×D₅	1	4	yes	—
1381	C₂³	C₂⁴×D₅	1	1	yes	characteristic
1382	Q₈	—	2	4	no	—
1383	Q₈	—	4	4	no	—
1384	Q₈	—	10	8	no	—
1385	Q₈	—	10	4	no	—
1386	Q₈	—	20	8	no	—
1387	Q₈	—	20	4	no	—
1388	D₄	—	2	8	no	—
1389	D₄	—	2	4	no	—
1390	D₄	—	4	4	no	—
1391	D₄	—	4	8	no	—
1392	D₄	—	10	8	no	—
1393	D₄	—	10	8	no	—
1394	D₄	—	10	8	no	—
1395	D₄	—	10	8	no	—
1396	D₄	—	10	4	no	—
1397	D₄	—	20	4	no	—
1398	D₄	—	20	8	no	—
1399	D₄	—	20	8	no	—
1400	D₄	—	20	8	no	—
1401	D₄	—	20	8	no	—
1402	C₂×C₄	—	2	2	no	—
1403	C₂×C₄	—	2	4	no	—
1404	C₂×C₄	—	2	4	no	—
1405	C₂×C₄	—	2	8	no	—
1406	C₂×C₄	—	4	2	no	—
1407	C₂×C₄	—	4	8	no	—
1408	C₂×C₄	—	4	2	no	—
1409	C₂×C₄	—	5	4	no	—
1410	C₂×C₄	—	5	1	no	—
1411	C₂×C₄	—	5	1	no	—
1412	C₂×C₄	—	5	4	no	—
1413	C₂×C₄	—	5	4	no	—
1414	C₂×C₄	—	5	4	no	—
1415	C₂×C₄	—	5	4	no	—
1416	C₂×C₄	—	5	4	no	—
1417	C₂×C₄	—	5	2	no	—
1418	C₂×C₄	—	5	4	no	—
1419	C₂×C₄	—	5	8	no	—
1420	C₂×C₄	—	5	2	no	—
1421	C₂×C₄	—	5	2	no	—
1422	C₂×C₄	—	10	4	no	—
1423	C₂×C₄	—	10	4	no	—
1424	C₂×C₄	—	10	8	no	—
1425	C₂×C₄	—	10	4	no	—
1426	C₂×C₄	—	10	4	no	—
1427	C₂×C₄	—	10	8	no	—
1428	C₂×C₄	—	10	8	no	—
1429	C₂×C₄	—	10	4	no	—
1430	C₂×C₄	—	10	16	no	—
1431	C₂×C₄	—	10	4	no	—
1432	C₂×C₄	—	10	4	no	—
1433	C₂×C₄	—	10	4	no	—
1434	C₂×C₄	—	10	8	no	—
1435	C₂×C₄	—	10	2	no	—
1436	C₂×C₄	—	10	4	no	—
1437	C₂×C₄	—	10	4	no	—
1438	C₂×C₄	—	10	8	no	—
1439	C₂×C₄	—	20	4	no	—
1440	C₂×C₄	—	20	8	no	—
1441	C₂×C₄	—	20	2	no	—
1442	C₂×C₄	—	20	8	no	—
1443	C₂×C₄	—	20	2	no	—
1444	C₂×C₄	—	20	2	no	—
1445	C₂×C₄	—	20	8	no	—
1446	C₂×C₄	—	20	2	no	—
1447	C₂×C₄	D₅×#41	1	4	yes	—
1448	C₂×C₄	C₂⁴×D₅	1	4	yes	—
1449	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1450	C₂×C₄	C₂⁴×D₅	1	4	yes	—
1451	C₂×C₄	C₂⁴×D₅	1	8	yes	—
1452	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1453	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1454	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1455	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1456	C₅	C₂×#3455	1	1	yes	characteristic, complemented, Sylow
1457	C₂²	—	2	2	no	—
1458	C₂²	—	2	2	no	—
1459	C₂²	—	2	4	no	—
1460	C₂²	—	2	8	no	—
1461	C₂²	—	2	4	no	—
1462	C₂²	—	4	4	no	—
1463	C₂²	—	5	2	no	—
1464	C₂²	—	5	4	no	—
1465	C₂²	—	5	2	no	—
1466	C₂²	—	10	8	no	—
1467	C₂²	—	10	2	no	—
1468	C₂²	—	10	2	no	—
1469	C₂²	—	10	4	no	—
1470	C₂²	—	10	8	no	—
1471	C₂²	—	10	4	no	—
1472	C₂²	—	20	4	no	—
1473	C₂²	—	20	8	no	—
1474	C₂²	—	20	16	no	—
1475	C₂²	—	20	8	no	—
1476	C₂²	C₂×D₅×#41	1	2	yes	—
1477	C₂²	C₂⁵×D₅	1	1	yes	characteristic
1478	C₄	—	2	2	no	—
1479	C₄	—	2	4	no	—
1480	C₄	—	2	4	no	—
1481	C₄	—	2	2	no	—
1482	C₄	—	2	8	no	—
1483	C₄	—	2	2	no	—
1484	C₄	—	5	2	no	—
1485	C₄	—	5	2	no	—
1486	C₄	—	10	2	no	—
1487	C₄	—	10	4	no	—
1488	C₄	—	10	4	no	—
1489	C₄	—	10	2	no	—
1490	C₄	—	10	8	no	—
1491	C₄	—	10	2	no	—
1492	C₄	C₂×D₅×#41	1	2	yes	—
1493	C₄	C₂×D₅×#41	1	2	yes	—
1494	C₂	—	2	2	no	—
1495	C₂	—	4	2	no	—
1496	C₂	—	4	4	no	—
1497	C₂	—	5	4	no	—
1498	C₂	—	10	2	no	—
1499	C₂	—	20	2	no	—
1500	C₂	—	20	4	no	—
1501	C₂	C₂²×D₅×#41	1	1	yes	characteristic
1502	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	C₂×#3455
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. D₅×#542	C₂	semidirect
3. #10618424	C₂	semidirect
4. D₅×#541	C₂	semidirect
5. #10618396	C₂	semidirect
6. D₅×#540	C₂	semidirect
7. #10618368	C₂	semidirect
8. D₅×#539	C₂	semidirect
9. #10618328	C₂	semidirect
10. D₅×#538	C₂	semidirect
11. #10618288	C₂	semidirect
12. #10618174	C₂	semidirect
13. D₅×#533	C₂	semidirect
14. #10618137	C₂	semidirect
15. D₅×#532	C₂	semidirect
16. #10618047	C₂	semidirect
17. D₅×#529	C₂	semidirect
18. D₅×#525	C₂	semidirect
19. #10617920	C₂	semidirect
20. #10617738	C₂	semidirect
21. C₄×D₅×#41	C₂	semidirect
22. #10617639	C₂	semidirect
23. C₂×D₅×#117	C₂	semidirect
26. C₅×#542	C₂²	semidirect
27. C₅×#541	C₂²	semidirect
28. C₅×#540	C₂²	semidirect
29. C₅×#539	C₂²	semidirect
30. C₅×#538	C₂²	semidirect
31. C₅×#533	C₂²	semidirect
32. C₅×#532	C₂²	semidirect
33. C₅×#529	C₂²	semidirect
34. C₅×#525	C₂²	semidirect
35. C₄×C₅×#41	C₂²	semidirect
36. C₂×C₅×#117	C₂²	semidirect
37. #66166	C₂²	semidirect
38. #66162	C₂²	semidirect
39. #41×Dic₅	C₂²	semidirect
40. #66125	C₂²	semidirect
41. C₂×#4072	C₂²	semidirect
42. #66067	C₂²	semidirect
43. #66065	C₂²	semidirect
44. #66062	C₂²	semidirect
45. #66059	C₂²	semidirect
46. D₅×C₄⋊Q₈	C₂²	semidirect
47. D₅×C₄⋊Q₈	C₂²	semidirect
48. #66053	C₂²	semidirect
49. #66050	C₂²	semidirect
50. D₅×#127	C₂²	semidirect
51. #66044	C₂²	semidirect
52. #66041	C₂²	semidirect
53. #66040	C₂²	semidirect
54. #66040	C₂²	semidirect
55. #66038	C₂²	semidirect
57. D₅×#126	C₂²	semidirect
58. #66035	C₂²	semidirect
59. #66032	C₂²	semidirect
60. #66031	C₂²	semidirect
61. #66030	C₂²	semidirect
62. #66026	C₂²	semidirect
63. #66025	C₂²	semidirect
64. #66022	C₂²	semidirect
65. D₅×#125	C₂²	semidirect
66. D₅×#125	C₂²	semidirect
67. #66016	C₂²	semidirect
68. #66014	C₂²	semidirect
69. #66012	C₂²	semidirect
71. D₅×#124	C₂²	semidirect
72. #66003	C₂²	semidirect
73. #66002	C₂²	semidirect
74. #65999	C₂²	semidirect
75. #65997	C₂²	semidirect
76. #65996	C₂²	semidirect
77. #65994	C₂²	semidirect
78. #65991	C₂²	semidirect
79. #65990	C₂²	semidirect
82. D₅×#123	C₂²	semidirect
83. #65983	C₂²	semidirect
84. #65983	C₂²	semidirect
85. #65979	C₂²	semidirect
86. #65978	C₂²	semidirect
87. #65977	C₂²	semidirect
88. #65974	C₂²	semidirect
89. #65972	C₂²	semidirect
90. #65961	C₂²	semidirect
93. D₅×C₂²⋊Q₈	C₂²	semidirect
94. #65959	C₂²	semidirect
95. #65958	C₂²	semidirect
96. #65956	C₂²	semidirect
97. #65953	C₂²	semidirect
98. #65951	C₂²	semidirect
99. #65949	C₂²	semidirect
100. #65947	C₂²	semidirect
101. #65940	C₂²	semidirect
105. #65937	C₂²	semidirect
106. #65936	C₂²	semidirect
107. #65934	C₂²	semidirect
108. #65930	C₂²	semidirect
109. #65927	C₂²	semidirect
111. #65920	C₂²	semidirect
112. #65917	C₂²	semidirect
113. #65916	C₂²	semidirect
114. #65914	C₂²	semidirect
115. #65912	C₂²	semidirect
116. C₄×#713	C₂²	semidirect
117. C₄×Q₈×D₅	C₂²	semidirect
118. C₄×Q₈×D₅	C₂²	semidirect
119. #65898	C₂²	semidirect
120. #65896	C₂²	semidirect
121. #65895	C₂²	semidirect
122. #65894	C₂²	semidirect
123. #65891	C₂²	semidirect
124. #65882	C₂²	semidirect
125. #65881	C₂²	semidirect
128. C₄×D₄×D₅	C₂²	semidirect
129. C₄×D₄×D₅	C₂²	semidirect
130. #65872	C₂²	semidirect
131. #65872	C₂²	semidirect
132. C₄×#711	C₂²	semidirect
133. C₄×#711	C₂²	semidirect
134. #65869	C₂²	semidirect
135. #65868	C₂²	semidirect
136. #65862	C₂²	semidirect
137. #65862	C₂²	semidirect
138. #65858	C₂²	semidirect
139. #65856	C₂²	semidirect
140. #65856	C₂²	semidirect
145. D₅×#117	C₂²	semidirect
146. D₅×#117	C₂²	semidirect
147. D₅×#117	C₂²	semidirect
148. D₅×#117	C₂²	semidirect
149. #65852	C₂²	semidirect
150. #65851	C₂²	semidirect
151. #65849	C₂²	semidirect
152. C₂×#4038	C₂²	semidirect
154. #65828	C₂²	semidirect
156. C₂×#4023	C₂²	semidirect
157. #65813	C₂²	semidirect
158. #65811	C₂²	semidirect
159. C₄×#709	C₂²	semidirect
160. C₄×#709	C₂²	semidirect
161. C₂×#4018	C₂²	semidirect
162. C₂×#4018	C₂²	semidirect
165. C₂×C₄²×D₅	C₂²	semidirect
166. #65804	C₂²	semidirect
197. C₅×C₄⋊Q₈	C₂³	semidirect
198. C₅×C₄⋊Q₈	C₂³	semidirect
199. C₅×#127	C₂³	semidirect
201. C₅×#126	C₂³	semidirect
202. C₅×#125	C₂³	semidirect
203. C₅×#125	C₂³	semidirect
205. C₅×#124	C₂³	semidirect
208. C₅×#123	C₂³	semidirect
211. C₅×C₂²⋊Q₈	C₂³	semidirect
216. C₄×C₅×Q₈	C₂³	semidirect
217. C₄×C₅×Q₈	C₂³	semidirect
220. C₄×C₅×D₄	C₂³	semidirect
221. C₄×C₅×D₄	C₂³	semidirect
226. C₅×#117	C₂³	semidirect
231. C₂×C₄²×C₅	C₂³	semidirect
235. #4093	C₂³	semidirect
238. #4092	C₂³	semidirect
239. Q₈×Dic₅	C₂³	semidirect
240. Q₈×Dic₅	C₂³	semidirect
241. #4090	C₂³	semidirect
242. #4090	C₂³	semidirect
243. #4086	C₂³	semidirect
244. #4086	C₂³	semidirect
255. #4082	C₂³	semidirect
258. #4081	C₂³	semidirect
261. D₄×Dic₅	C₂³	semidirect
262. D₄×Dic₅	C₂³	semidirect
268. #4075	C₂³	semidirect
273. C₄×C₂²⋊D₅	C₂³	semidirect
274. C₄×C₂²⋊D₅	C₂³	semidirect
281. #4072	C₂³	semidirect
285. #4070	C₂³	semidirect
292. C₂×C₄×Dic₅	C₂³	semidirect
293. C₂×C₄×Dic₅	C₂³	semidirect
297. #4044	C₂³	semidirect
298. #4044	C₂³	semidirect
299. #4044	C₂³	semidirect
302. #4043	C₂³	semidirect
305. #4042	C₂³	semidirect
306. #4042	C₂³	semidirect
313. #4040	C₂³	semidirect
314. #4040	C₂³	semidirect
317. #4039	C₂³	semidirect
318. #4039	C₂³	semidirect
324. #4038	C₂³	semidirect
335. #4036	C₂³	semidirect
336. #4036	C₂³	semidirect
337. #4036	C₂³	semidirect
338. #4035	C₂³	semidirect
339. #4035	C₂³	semidirect
340. #4035	C₂³	semidirect
341. #4035	C₂³	semidirect
342. #4035	C₂³	semidirect
343. #4034	C₂³	semidirect
344. #4034	C₂³	semidirect
345. #4034	C₂³	semidirect
346. #4033	C₂³	semidirect
347. #4033	C₂³	semidirect
348. #4033	C₂³	semidirect
349. #4033	C₂³	semidirect
352. #4032	C₂³	semidirect
357. #4031	C₂³	semidirect
365. #4029	C₂³	semidirect
366. #4029	C₂³	semidirect
373. #4027	C₂³	semidirect
374. #4027	C₂³	semidirect
387. #4025	C₂³	semidirect
388. #4025	C₂³	semidirect
389. #4025	C₂³	semidirect
392. #4024	C₂³	semidirect
393. #4024	C₂³	semidirect
399. #4023	C₂³	semidirect
401. #4022	C₂³	semidirect
403. #4021	C₂³	semidirect
404. #4020	C₂³	semidirect
407. C₄×D₂₀	C₂³	semidirect
408. C₄×D₂₀	C₂³	semidirect
416. #4018	C₂³	semidirect
417. #4018	C₂³	semidirect
430. C₄²×D₅	C₂³	semidirect
431. C₄²×D₅	C₂³	semidirect
432. C₄²×D₅	C₂³	semidirect
433. #4016	C₂³	semidirect
434. #4016	C₂³	semidirect
435. #4015	C₂³	semidirect
436. #4015	C₂³	semidirect
437. C₄×Dic₁₀	C₂³	semidirect
438. C₄×Dic₁₀	C₂³	semidirect
439. C₄×Dic₁₀	C₂³	semidirect
440. C₄×Dic₁₀	C₂³	semidirect
452. #3455	D₅	direct (N × H)
648. #542	C₂×D₅	semidirect
656. #541	C₂×D₅	semidirect
664. #540	C₂×D₅	semidirect
674. #539	C₂×D₅	semidirect
684. #538	C₂×D₅	semidirect
691. #533	C₂×D₅	semidirect
699. #532	C₂×D₅	semidirect
718. #529	C₂×D₅	semidirect
733. #525	C₂×D₅	semidirect
752. C₄×#41	C₂×D₅	semidirect
772. C₂×#117	C₂×D₅	semidirect
908. C₄⋊Q₈	C₂²×D₅	semidirect
909. C₄⋊Q₈	C₂²×D₅	semidirect
913. #127	C₂²×D₅	semidirect
929. #126	C₂²×D₅	semidirect
940. #125	C₂²×D₅	semidirect
941. #125	C₂²×D₅	semidirect
954. #124	C₂²×D₅	semidirect
976. #123	C₂²×D₅	semidirect
996. C₂²⋊Q₈	C₂²×D₅	semidirect
1033. C₄×Q₈	C₂²×D₅	semidirect
1034. C₄×Q₈	C₂²×D₅	semidirect
1061. C₄×D₄	C₂²×D₅	semidirect
1062. C₄×D₄	C₂²×D₅	semidirect
1093. #117	C₂²×D₅	semidirect
1144. C₂×C₄²	C₂²×D₅	semidirect
1361. D₅	#3455	direct (N × H)
1456. C₅	C₂×#3455	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
D₅×#542	2
#10618424	2
D₅×#541	2
#10618396	2
D₅×#540	2
#10618368	2
D₅×#539	2
#10618328	2
D₅×#538	2
#10618288	2
#10618174	2
D₅×#533	2
#10618137	2
D₅×#532	2
#10618047	2
D₅×#529	2
D₅×#525	2
#10617920	2
#10617738	2
C₄×D₅×#41	2
#10617639	2
C₂×D₅×#117	2
C₂×#3455	5

Subgroups — D5×#3455 #13006145

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₅×#3455 #13006145