Subgroups — D₅×#3506 #13007243

Order 1280.

7994 conjugacy classes of subgroups.

The subgroup lattice has 1872 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅×#3506	C₂	1	1	yes	maximal, characteristic, complemented
2	#10618964	C₂	1	4	yes	maximal, complemented
3	D₅×#559	C₂	1	4	yes	maximal, complemented
4	#10618906	C₂	1	2	yes	maximal, complemented
5	D₅×#556	C₂	1	2	yes	maximal, complemented
6	#10618874	C₂	1	2	yes	maximal, complemented
7	D₅×#555	C₂	1	2	yes	maximal, complemented
8	#10618814	C₂	1	4	yes	maximal, complemented
9	D₅×#553	C₂	1	4	yes	maximal, complemented
10	#10618686	C₂	1	2	yes	maximal, complemented
11	D₅×#550	C₂	1	2	yes	maximal, complemented
12	#10618604	C₂	1	2	yes	maximal, complemented
13	D₅×#547	C₂	1	2	yes	maximal, complemented
14	D₅×#538	C₂	1	4	yes	maximal, complemented
15	#10618292	C₂	1	4	yes	maximal, complemented
16	D₅×#535	C₂	1	2	yes	maximal, complemented
17	#10618219	C₂	1	2	yes	maximal, complemented
18	D₅×#533	C₂	1	1	yes	maximal, characteristic, complemented
19	#10618160	C₂	1	1	yes	maximal, characteristic, complemented
20	D₅×#532	C₂	1	1	yes	maximal, characteristic, complemented
21	#10618124	C₂	1	1	yes	maximal, characteristic, complemented
22	D₅×#525	C₂	1	4	yes	maximal, complemented
23	#10617930	C₂	1	4	yes	maximal, complemented
24	D₅×#520	C₂	1	2	yes	maximal, complemented
25	#10617792	C₂	1	2	yes	maximal, complemented
26	#10617689	C₂	1	1	yes	maximal, characteristic, complemented
27	C₂×C₄×D₄×D₅	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂×D₅×#41	C₂²	1	2	yes	—
29	C₂×D₅×#41	C₂²	1	4	yes	complemented
30	C₂²×D₄×D₅	C₂²	1	1	yes	characteristic
31	C₂³×C₄×D₅	C₂²	1	2	yes	—
32	C₅×#559	C₂²	1	4	yes	complemented
33	C₅×#556	C₂²	1	2	yes	complemented
34	C₅×#555	C₂²	1	2	yes	complemented
35	C₅×#553	C₂²	1	4	yes	complemented
36	C₅×#550	C₂²	1	2	yes	complemented
37	C₅×#547	C₂²	1	2	yes	complemented
38	C₅×#538	C₂²	1	4	yes	complemented
39	C₅×#535	C₂²	1	2	yes	complemented
40	C₅×#533	C₂²	1	1	yes	characteristic, complemented
41	C₅×#532	C₂²	1	1	yes	characteristic, complemented
42	C₅×#525	C₂²	1	4	yes	complemented
43	C₅×#520	C₂²	1	2	yes	complemented
44	C₂×C₄×C₅×D₄	C₂²	1	1	yes	characteristic, complemented
45	#66168	C₂²	1	4	yes	complemented
46	#66166	C₂²	1	2	yes	complemented
47	#66164	C₂²	1	2	yes	complemented
48	#66162	C₂²	1	4	yes	complemented
49	#66161	C₂²	1	2	yes	complemented
50	#66158	C₂²	1	4	yes	complemented
51	#66139	C₂²	1	2	yes	complemented
52	C₂×D₄×Dic₅	C₂²	1	1	yes	characteristic, complemented
53	#66125	C₂²	1	4	yes	complemented
54	C₂×C₄×C₂²⋊D₅	C₂²	1	2	yes	complemented
55	#66068	C₂²	1	2	yes	complemented
56	#66066	C₂²	1	2	yes	complemented
57	#66062	C₂²	1	1	yes	characteristic, complemented
58	#66062	C₂²	1	1	yes	characteristic, complemented
59	#66060	C₂²	1	2	yes	complemented
60	#66059	C₂²	1	1	yes	characteristic, complemented
61	D₅×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
62	D₅×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
63	D₅×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
64	#66052	C₂²	1	4	yes	complemented
65	#66052	C₂²	1	2	yes	complemented
66	#66050	C₂²	1	1	yes	characteristic, complemented
67	#66049	C₂²	1	4	yes	complemented
68	D₅×#127	C₂²	1	4	yes	—
69	D₅×#127	C₂²	1	1	yes	characteristic, complemented
70	#66047	C₂²	1	4	yes	complemented
71	#66043	C₂²	1	8	yes	complemented
72	#66038	C₂²	1	8	yes	complemented
73	D₅×#126	C₂²	1	8	yes	complemented
74	#66036	C₂²	1	8	yes	complemented
75	#66029	C₂²	1	4	yes	complemented
76	#66022	C₂²	1	2	yes	complemented
77	D₅×#125	C₂²	1	2	yes	complemented
78	#66015	C₂²	1	4	yes	complemented
79	#66015	C₂²	1	4	yes	complemented
80	#66015	C₂²	1	8	yes	complemented
81	#66012	C₂²	1	8	yes	complemented
82	#66008	C₂²	1	4	yes	complemented
83	D₅×#124	C₂²	1	4	yes	—
84	D₅×#124	C₂²	1	2	yes	complemented
85	D₅×#124	C₂²	1	8	yes	complemented
86	#66005	C₂²	1	4	yes	complemented
87	#66004	C₂²	1	8	yes	complemented
88	#66002	C₂²	1	2	yes	complemented
89	#65998	C₂²	1	8	yes	complemented
90	#65998	C₂²	1	8	yes	complemented
91	#65995	C₂²	1	8	yes	complemented
92	#65991	C₂²	1	8	yes	complemented
93	#65990	C₂²	1	8	yes	complemented
94	#65989	C₂²	1	8	yes	complemented
95	D₅×#123	C₂²	1	8	yes	complemented
96	D₅×#123	C₂²	1	8	yes	complemented
97	#65978	C₂²	1	4	yes	complemented
98	#65975	C₂²	1	4	yes	complemented
99	#65965	C₂²	1	4	yes	complemented
100	#65961	C₂²	1	4	yes	complemented
101	#65961	C₂²	1	4	yes	complemented
102	D₅×C₂²⋊Q₈	C₂²	1	2	yes	—
103	D₅×C₂²⋊Q₈	C₂²	1	2	yes	—
104	D₅×C₂²⋊Q₈	C₂²	1	4	yes	complemented
105	#65956	C₂²	1	2	yes	complemented
106	#65956	C₂²	1	2	yes	complemented
107	#65952	C₂²	1	4	yes	complemented
108	#65951	C₂²	1	4	yes	complemented
109	#65950	C₂²	1	4	yes	complemented
110	#65950	C₂²	1	4	yes	complemented
111	#65948	C₂²	1	4	yes	complemented
112	#65947	C₂²	1	8	yes	complemented
113	#65945	C₂²	1	4	yes	complemented
114	#65941	C₂²	1	4	yes	complemented
115	#65941	C₂²	1	4	yes	complemented
116	#65940	C₂²	1	4	yes	complemented
117	#65940	C₂²	1	4	yes	complemented
118	D₅×#121	C₂²	1	2	yes	—
119	D₅×#121	C₂²	1	2	yes	—
120	D₅×#121	C₂²	1	4	yes	—
121	D₅×#121	C₂²	1	4	yes	—
122	D₅×#121	C₂²	1	4	yes	complemented
123	D₅×#121	C₂²	1	8	yes	complemented
124	#65935	C₂²	1	8	yes	complemented
125	#65933	C₂²	1	8	yes	complemented
126	#65933	C₂²	1	4	yes	complemented
127	#65930	C₂²	1	2	yes	complemented
128	#65930	C₂²	1	2	yes	complemented
129	#65927	C₂²	1	8	yes	complemented
130	#65926	C₂²	1	8	yes	complemented
131	D₅×#120	C₂²	1	8	yes	—
132	#65920	C₂²	1	8	yes	complemented
133	#65919	C₂²	1	4	yes	complemented
134	#65919	C₂²	1	4	yes	complemented
135	#65918	C₂²	1	2	yes	complemented
136	#65912	C₂²	1	2	yes	complemented
137	#65912	C₂²	1	2	yes	complemented
138	#65911	C₂²	1	2	yes	complemented
139	#65908	C₂²	1	4	yes	complemented
140	C₄×Q₈×D₅	C₂²	1	2	yes	complemented
141	C₄×Q₈×D₅	C₂²	1	4	yes	complemented
142	C₄×Q₈×D₅	C₂²	1	2	yes	complemented
143	#65902	C₂²	1	4	yes	complemented
144	#65899	C₂²	1	4	yes	complemented
145	#65897	C₂²	1	2	yes	complemented
146	#65897	C₂²	1	2	yes	complemented
147	#65894	C₂²	1	8	yes	complemented
148	#65893	C₂²	1	4	yes	complemented
149	#65893	C₂²	1	4	yes	complemented
150	#65893	C₂²	1	8	yes	complemented
151	#65892	C₂²	1	4	yes	complemented
152	#65889	C₂²	1	2	yes	complemented
153	#65887	C₂²	1	2	yes	complemented
154	#65887	C₂²	1	4	yes	complemented
155	#65885	C₂²	1	2	yes	complemented
156	#65882	C₂²	1	2	yes	complemented
157	#65882	C₂²	1	2	yes	complemented
158	#65881	C₂²	1	8	yes	complemented
159	#65881	C₂²	1	8	yes	complemented
160	#65880	C₂²	1	8	yes	complemented
161	#65880	C₂²	1	4	yes	complemented
162	C₄×D₄×D₅	C₂²	1	2	yes	—
163	C₄×D₄×D₅	C₂²	1	2	yes	—
164	C₄×D₄×D₅	C₂²	1	2	yes	—
165	C₄×D₄×D₅	C₂²	1	2	yes	—
166	C₄×D₄×D₅	C₂²	1	8	yes	—
167	C₄×D₄×D₅	C₂²	1	2	yes	complemented
168	C₄×D₄×D₅	C₂²	1	2	yes	complemented
169	C₄×D₄×D₅	C₂²	1	2	yes	complemented
170	C₄×D₄×D₅	C₂²	1	2	yes	complemented
171	C₄×D₄×D₅	C₂²	1	2	yes	complemented
172	C₄×D₄×D₅	C₂²	1	2	yes	complemented
173	C₄×D₄×D₅	C₂²	1	4	yes	complemented
174	C₄×D₄×D₅	C₂²	1	8	yes	complemented
175	#65876	C₂²	1	2	yes	complemented
176	#65874	C₂²	1	8	yes	complemented
177	#65867	C₂²	1	4	yes	complemented
178	#65866	C₂²	1	4	yes	complemented
179	#65866	C₂²	1	4	yes	complemented
180	#65864	C₂²	1	4	yes	complemented
181	#65859	C₂²	1	2	yes	complemented
182	#65858	C₂²	1	4	yes	complemented
183	#65857	C₂²	1	2	yes	complemented
184	#65857	C₂²	1	4	yes	complemented
185	D₅×#117	C₂²	1	2	yes	—
186	D₅×#117	C₂²	1	4	yes	complemented
187	D₅×#117	C₂²	1	4	yes	complemented
188	#65851	C₂²	1	2	yes	complemented
189	#65848	C₂²	1	4	yes	complemented
190	#65841	C₂²	1	4	yes	complemented
191	#65838	C₂²	1	2	yes	complemented
192	#65838	C₂²	1	4	yes	complemented
193	C₂×#4039	C₂²	1	1	yes	characteristic, complemented
194	C₂×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
195	C₂×D₅×C₄⋊C₄	C₂²	1	4	yes	complemented
196	#65828	C₂²	1	4	yes	complemented
197	C₂×#4027	C₂²	1	2	yes	complemented
198	C₂×D₅×C₂²⋊C₄	C₂²	1	2	yes	—
199	#65811	C₂²	1	1	yes	characteristic, complemented
200	C₂×C₄×D₂₀	C₂²	1	1	yes	characteristic, complemented
201	C₂×C₄²×D₅	C₂²	1	1	yes	characteristic
202	#65804	C₂²	1	1	yes	characteristic, complemented
203	C₂×#3506	—	5	1	no	maximal, Sylow
204	C₂⁴×D₅	C₂³	1	2	yes	—
205	C₂×C₅×#41	C₂³	1	2	yes	—
206	C₂×C₅×#41	C₂³	1	4	yes	complemented
207	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
208	C₂³×C₄×C₅	C₂³	1	2	yes	—
209	C₂²×C₂²⋊D₅	C₂³	1	2	yes	—
210	C₂³×Dic₅	C₂³	1	2	yes	—
211	D₅×#41	—	2	16	no	—
212	D₅×#41	—	4	16	no	—
213	C₂×#713	C₂³	1	2	yes	—
214	C₂×#713	C₂³	1	4	yes	complemented
215	C₂×Q₈×D₅	C₂³	1	2	yes	—
216	C₂×Q₈×D₅	C₂³	1	2	yes	—
217	C₂×Q₈×D₅	C₂³	1	2	yes	—
218	C₂×#711	C₂³	1	2	yes	—
219	C₂×#711	C₂³	1	4	yes	—
220	C₂×#711	C₂³	1	4	yes	complemented
221	C₂×#711	C₂³	1	8	yes	complemented
222	C₂×D₄×D₅	—	2	8	no	—
223	C₂×D₄×D₅	C₂³	1	2	yes	—
224	C₂×D₄×D₅	C₂³	1	2	yes	—
225	C₂×D₄×D₅	C₂³	1	2	yes	—
226	C₂×D₄×D₅	C₂³	1	2	yes	—
227	C₂×D₄×D₅	C₂³	1	4	yes	—
228	C₂×D₄×D₅	C₂³	1	2	yes	—
229	C₂×D₄×D₅	C₂³	1	2	yes	—
230	C₂×D₄×D₅	C₂³	1	8	yes	—
231	C₂×D₄×D₅	C₂³	1	8	yes	—
232	C₂×D₄×D₅	C₂³	1	2	yes	—
233	C₂×#709	C₂³	1	2	yes	—
234	C₂×#709	C₂³	1	4	yes	—
235	C₂×#709	C₂³	1	8	yes	complemented
236	C₂×#709	C₂³	1	4	yes	complemented
237	C₂²×D₂₀	C₂³	1	1	yes	characteristic
238	C₂²×C₄×D₅	—	4	8	no	—
239	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
240	C₂²×C₄×D₅	C₂³	1	4	yes	—
241	C₂²×C₄×D₅	C₂³	1	4	yes	—
242	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
243	C₂²×C₄×D₅	C₂³	1	2	yes	—
244	C₂²×C₄×D₅	C₂³	1	2	yes	—
245	C₂²×C₄×D₅	C₂³	1	2	yes	—
246	C₂²×C₄×D₅	C₂³	1	8	yes	—
247	C₂²×C₄×D₅	C₂³	1	4	yes	—
248	C₂²×C₄×D₅	C₂³	1	4	yes	—
249	C₂²×C₄×D₅	C₂³	1	4	yes	—
250	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
251	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic, complemented
252	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic, complemented
253	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic, complemented
254	C₅×#127	C₂³	1	4	yes	—
255	C₅×#127	C₂³	1	1	yes	characteristic, complemented
256	C₅×#126	C₂³	1	8	yes	complemented
257	C₅×#125	C₂³	1	2	yes	complemented
258	C₅×#124	C₂³	1	4	yes	—
259	C₅×#124	C₂³	1	2	yes	complemented
260	C₅×#124	C₂³	1	8	yes	complemented
261	C₅×#123	C₂³	1	8	yes	complemented
262	C₅×#123	C₂³	1	8	yes	complemented
263	C₅×C₂²⋊Q₈	C₂³	1	2	yes	—
264	C₅×C₂²⋊Q₈	C₂³	1	2	yes	—
265	C₅×C₂²⋊Q₈	C₂³	1	4	yes	complemented
266	C₅×#121	C₂³	1	2	yes	—
267	C₅×#121	C₂³	1	2	yes	—
268	C₅×#121	C₂³	1	4	yes	—
269	C₅×#121	C₂³	1	4	yes	—
270	C₅×#121	C₂³	1	4	yes	complemented
271	C₅×#121	C₂³	1	8	yes	complemented
272	C₅×#120	C₂³	1	8	yes	—
273	C₄×C₅×Q₈	C₂³	1	4	yes	complemented
274	C₄×C₅×Q₈	C₂³	1	2	yes	complemented
275	C₄×C₅×Q₈	C₂³	1	2	yes	complemented
276	C₄×C₅×D₄	C₂³	1	2	yes	—
277	C₄×C₅×D₄	C₂³	1	2	yes	—
278	C₄×C₅×D₄	C₂³	1	2	yes	—
279	C₄×C₅×D₄	C₂³	1	2	yes	—
280	C₄×C₅×D₄	C₂³	1	8	yes	—
281	C₄×C₅×D₄	C₂³	1	8	yes	complemented
282	C₄×C₅×D₄	C₂³	1	4	yes	complemented
283	C₄×C₅×D₄	C₂³	1	2	yes	complemented
284	C₄×C₅×D₄	C₂³	1	2	yes	complemented
285	C₅×#117	C₂³	1	2	yes	—
286	C₅×#117	C₂³	1	4	yes	complemented
287	C₅×#117	C₂³	1	4	yes	complemented
288	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
289	C₂×C₅×C₄⋊C₄	C₂³	1	4	yes	complemented
290	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
291	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
292	#4099	C₂³	1	8	yes	—
293	C₂×C₂²⋊Dic₅	C₂³	1	2	yes	—
294	#4093	C₂³	1	4	yes	—
295	#4093	C₂³	1	2	yes	complemented
296	#4093	C₂³	1	8	yes	complemented
297	#4092	C₂³	1	2	yes	—
298	#4092	C₂³	1	2	yes	—
299	#4092	C₂³	1	4	yes	complemented
300	Q₈×Dic₅	C₂³	1	2	yes	complemented
301	Q₈×Dic₅	C₂³	1	2	yes	complemented
302	Q₈×Dic₅	C₂³	1	4	yes	complemented
303	#4090	C₂³	1	2	yes	complemented
304	#4090	C₂³	1	2	yes	complemented
305	#4090	C₂³	1	2	yes	complemented
306	#4086	C₂³	1	4	yes	—
307	#4086	C₂³	1	4	yes	—
308	#4086	C₂³	1	8	yes	—
309	#4086	C₂³	1	8	yes	—
310	#4086	C₂³	1	2	yes	complemented
311	#4086	C₂³	1	2	yes	complemented
312	#4086	C₂³	1	2	yes	complemented
313	#4085	C₂³	1	8	yes	—
314	#4085	C₂³	1	8	yes	—
315	#4085	C₂³	1	4	yes	—
316	#4085	C₂³	1	4	yes	—
317	#4085	C₂³	1	8	yes	complemented
318	#4085	C₂³	1	8	yes	complemented
319	#4085	C₂³	1	8	yes	complemented
320	#4084	C₂³	1	2	yes	—
321	#4084	C₂³	1	2	yes	—
322	#4084	C₂³	1	4	yes	—
323	#4084	C₂³	1	4	yes	—
324	#4084	C₂³	1	4	yes	complemented
325	#4084	C₂³	1	8	yes	complemented
326	#4083	C₂³	1	8	yes	—
327	#4083	C₂³	1	8	yes	—
328	#4083	C₂³	1	8	yes	—
329	#4082	C₂³	1	4	yes	—
330	#4082	C₂³	1	2	yes	complemented
331	#4082	C₂³	1	8	yes	complemented
332	#4081	C₂³	1	8	yes	complemented
333	#4081	C₂³	1	8	yes	complemented
334	D₄×Dic₅	C₂³	1	2	yes	—
335	D₄×Dic₅	C₂³	1	2	yes	—
336	D₄×Dic₅	C₂³	1	2	yes	—
337	D₄×Dic₅	C₂³	1	2	yes	—
338	D₄×Dic₅	C₂³	1	8	yes	—
339	D₄×Dic₅	C₂³	1	2	yes	complemented
340	D₄×Dic₅	C₂³	1	2	yes	complemented
341	D₄×Dic₅	C₂³	1	4	yes	complemented
342	D₄×Dic₅	C₂³	1	8	yes	complemented
343	#4076	C₂³	1	2	yes	—
344	#4076	C₂³	1	2	yes	—
345	#4076	C₂³	1	4	yes	—
346	#4076	C₂³	1	4	yes	—
347	#4076	C₂³	1	8	yes	complemented
348	#4076	C₂³	1	4	yes	complemented
349	#4075	C₂³	1	8	yes	complemented
350	#4075	C₂³	1	8	yes	complemented
351	C₄×C₂²⋊D₅	C₂³	1	8	yes	—
352	C₄×C₂²⋊D₅	C₂³	1	8	yes	—
353	C₄×C₂²⋊D₅	C₂³	1	4	yes	—
354	C₄×C₂²⋊D₅	C₂³	1	4	yes	—
355	C₄×C₂²⋊D₅	C₂³	1	4	yes	—
356	C₄×C₂²⋊D₅	C₂³	1	4	yes	—
357	C₄×C₂²⋊D₅	C₂³	1	8	yes	complemented
358	C₄×C₂²⋊D₅	C₂³	1	4	yes	complemented
359	C₄×C₂²⋊D₅	C₂³	1	4	yes	complemented
360	C₄×C₂²⋊D₅	C₂³	1	8	yes	complemented
361	C₄×C₂²⋊D₅	C₂³	1	8	yes	complemented
362	C₂×#685	C₂³	1	2	yes	—
363	C₂×#685	C₂³	1	2	yes	—
364	#4072	C₂³	1	2	yes	—
365	#4072	C₂³	1	4	yes	complemented
366	#4072	C₂³	1	4	yes	complemented
367	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
368	C₂×C₄⋊Dic₅	C₂³	1	4	yes	complemented
369	#4070	C₂³	1	2	yes	—
370	#4070	C₂³	1	2	yes	—
371	#4070	C₂³	1	4	yes	complemented
372	C₂×#683	C₂³	1	2	yes	—
373	C₂×#683	C₂³	1	8	yes	complemented
374	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
375	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
376	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
377	#4044	C₂³	1	8	yes	complemented
378	#4044	C₂³	1	8	yes	complemented
379	#4044	C₂³	1	8	yes	complemented
380	#4043	C₂³	1	2	yes	—
381	#4043	C₂³	1	2	yes	—
382	#4043	C₂³	1	4	yes	complemented
383	#4042	C₂³	1	4	yes	—
384	#4042	C₂³	1	4	yes	—
385	#4042	C₂³	1	8	yes	complemented
386	#4041	C₂³	1	2	yes	—
387	#4041	C₂³	1	2	yes	—
388	#4041	C₂³	1	4	yes	—
389	#4041	C₂³	1	4	yes	—
390	#4041	C₂³	1	4	yes	complemented
391	#4041	C₂³	1	8	yes	complemented
392	#4040	C₂³	1	8	yes	complemented
393	#4040	C₂³	1	8	yes	complemented
394	#4040	C₂³	1	8	yes	complemented
395	#4040	C₂³	1	8	yes	complemented
396	#4039	C₂³	1	2	yes	—
397	#4039	C₂³	1	2	yes	—
398	#4039	C₂³	1	2	yes	—
399	#4039	C₂³	1	2	yes	—
400	#4039	C₂³	1	8	yes	—
401	#4039	C₂³	1	2	yes	complemented
402	#4039	C₂³	1	2	yes	complemented
403	#4039	C₂³	1	4	yes	complemented
404	#4039	C₂³	1	8	yes	complemented
405	#4038	C₂³	1	2	yes	—
406	#4038	C₂³	1	2	yes	—
407	#4038	C₂³	1	4	yes	complemented
408	#4038	C₂³	1	4	yes	complemented
409	#4038	C₂³	1	4	yes	complemented
410	#4038	C₂³	1	4	yes	complemented
411	D₅×C₄⋊C₄	C₂³	1	2	yes	—
412	D₅×C₄⋊C₄	C₂³	1	2	yes	—
413	D₅×C₄⋊C₄	C₂³	1	2	yes	—
414	D₅×C₄⋊C₄	C₂³	1	2	yes	—
415	D₅×C₄⋊C₄	C₂³	1	2	yes	—
416	D₅×C₄⋊C₄	C₂³	1	2	yes	—
417	D₅×C₄⋊C₄	C₂³	1	2	yes	—
418	D₅×C₄⋊C₄	C₂³	1	2	yes	—
419	D₅×C₄⋊C₄	C₂³	1	2	yes	—
420	D₅×C₄⋊C₄	C₂³	1	2	yes	—
421	D₅×C₄⋊C₄	C₂³	1	8	yes	—
422	D₅×C₄⋊C₄	C₂³	1	4	yes	—
423	D₅×C₄⋊C₄	C₂³	1	4	yes	—
424	D₅×C₄⋊C₄	C₂³	1	4	yes	complemented
425	D₅×C₄⋊C₄	C₂³	1	4	yes	complemented
426	D₅×C₄⋊C₄	C₂³	1	8	yes	complemented
427	#4036	C₂³	1	2	yes	complemented
428	#4036	C₂³	1	2	yes	complemented
429	#4035	C₂³	1	4	yes	complemented
430	#4035	C₂³	1	4	yes	complemented
431	#4034	C₂³	1	2	yes	complemented
432	#4034	C₂³	1	2	yes	complemented
433	#4034	C₂³	1	2	yes	complemented
434	#4034	C₂³	1	2	yes	complemented
435	#4034	C₂³	1	2	yes	complemented
436	#4034	C₂³	1	2	yes	complemented
437	#4033	C₂³	1	2	yes	complemented
438	#4033	C₂³	1	2	yes	complemented
439	#4033	C₂³	1	4	yes	complemented
440	#4033	C₂³	1	8	yes	complemented
441	#4033	C₂³	1	4	yes	complemented
442	#4033	C₂³	1	4	yes	complemented
443	#4032	C₂³	1	8	yes	complemented
444	#4032	C₂³	1	8	yes	complemented
445	#4031	C₂³	1	8	yes	—
446	#4031	C₂³	1	8	yes	—
447	#4031	C₂³	1	8	yes	complemented
448	#4031	C₂³	1	8	yes	complemented
449	#4031	C₂³	1	8	yes	complemented
450	#4031	C₂³	1	4	yes	complemented
451	#4031	C₂³	1	4	yes	complemented
452	#4031	C₂³	1	8	yes	complemented
453	#4030	C₂³	1	8	yes	—
454	#4030	C₂³	1	8	yes	—
455	#4030	C₂³	1	4	yes	—
456	#4030	C₂³	1	4	yes	—
457	#4030	C₂³	1	8	yes	complemented
458	#4030	C₂³	1	8	yes	complemented
459	#4030	C₂³	1	8	yes	complemented
460	#4029	C₂³	1	8	yes	complemented
461	#4029	C₂³	1	8	yes	complemented
462	#4029	C₂³	1	8	yes	complemented
463	#4029	C₂³	1	8	yes	complemented
464	#4028	C₂³	1	8	yes	—
465	#4028	C₂³	1	8	yes	—
466	#4028	C₂³	1	8	yes	—
467	#4027	C₂³	1	4	yes	—
468	#4027	C₂³	1	4	yes	—
469	#4027	C₂³	1	4	yes	—
470	#4027	C₂³	1	4	yes	—
471	#4027	C₂³	1	8	yes	—
472	#4027	C₂³	1	8	yes	—
473	#4027	C₂³	1	8	yes	complemented
474	#4027	C₂³	1	4	yes	complemented
475	#4027	C₂³	1	8	yes	complemented
476	#4027	C₂³	1	8	yes	complemented
477	#4027	C₂³	1	4	yes	complemented
478	D₅×C₂²⋊C₄	C₂³	1	4	yes	—
479	D₅×C₂²⋊C₄	C₂³	1	4	yes	—
480	D₅×C₂²⋊C₄	C₂³	1	4	yes	—
481	D₅×C₂²⋊C₄	C₂³	1	4	yes	—
482	D₅×C₂²⋊C₄	C₂³	1	4	yes	—
483	D₅×C₂²⋊C₄	C₂³	1	8	yes	—
484	D₅×C₂²⋊C₄	C₂³	1	8	yes	—
485	D₅×C₂²⋊C₄	C₂³	1	4	yes	—
486	D₅×C₂²⋊C₄	C₂³	1	8	yes	—
487	D₅×C₂²⋊C₄	C₂³	1	4	yes	—
488	#4025	C₂³	1	8	yes	complemented
489	#4025	C₂³	1	8	yes	complemented
490	#4025	C₂³	1	8	yes	complemented
491	#4024	C₂³	1	4	yes	—
492	#4024	C₂³	1	4	yes	—
493	#4024	C₂³	1	8	yes	complemented
494	#4023	C₂³	1	4	yes	—
495	#4023	C₂³	1	8	yes	complemented
496	#4023	C₂³	1	8	yes	complemented
497	#4022	C₂³	1	8	yes	complemented
498	#4021	C₂³	1	4	yes	—
499	#4021	C₂³	1	2	yes	complemented
500	#4021	C₂³	1	8	yes	complemented
501	#4020	C₂³	1	4	yes	—
502	#4020	C₂³	1	1	yes	characteristic, complemented
503	C₄×D₂₀	C₂³	1	2	yes	—
504	C₄×D₂₀	C₂³	1	2	yes	—
505	C₄×D₂₀	C₂³	1	2	yes	—
506	C₄×D₂₀	C₂³	1	2	yes	—
507	C₄×D₂₀	C₂³	1	8	yes	—
508	C₄×D₂₀	C₂³	1	4	yes	complemented
509	C₄×D₂₀	C₂³	1	2	yes	complemented
510	C₄×D₂₀	C₂³	1	2	yes	complemented
511	C₄×D₂₀	C₂³	1	8	yes	complemented
512	#4018	C₂³	1	4	yes	—
513	#4018	C₂³	1	8	yes	complemented
514	#4018	C₂³	1	8	yes	complemented
515	C₄²×D₅	C₂³	1	4	yes	—
516	C₄²×D₅	C₂³	1	1	yes	characteristic
517	C₄²×D₅	C₂³	1	1	yes	characteristic
518	C₄²×D₅	C₂³	1	1	yes	characteristic
519	C₄²×D₅	C₂³	1	1	yes	characteristic
520	C₄²×D₅	C₂³	1	1	yes	characteristic
521	C₄²×D₅	C₂³	1	1	yes	characteristic
522	C₄²×D₅	C₂³	1	1	yes	characteristic
523	C₄²×D₅	C₂³	1	1	yes	characteristic
524	C₄²×D₅	C₂³	1	8	yes	—
525	#4016	C₂³	1	2	yes	complemented
526	#4015	C₂³	1	1	yes	characteristic, complemented
527	#4015	C₂³	1	1	yes	characteristic, complemented
528	#4015	C₂³	1	1	yes	characteristic, complemented
529	C₄×Dic₁₀	C₂³	1	2	yes	complemented
530	C₄×Dic₁₀	C₂³	1	4	yes	complemented
531	C₄×Dic₁₀	C₂³	1	2	yes	complemented
532	C₄×Dic₁₀	C₂³	1	4	yes	complemented
533	C₄×Dic₁₀	C₂³	1	8	yes	complemented
534	C₄×Dic₁₀	C₂³	1	4	yes	complemented
535	#3506	—	5	4	no	—
536	#3506	—	5	2	no	—
537	#3506	—	5	2	no	—
538	#3506	—	5	4	no	—
539	#3506	—	5	2	no	—
540	#3506	—	5	2	no	—
541	#3506	—	5	4	no	—
542	#3506	—	5	2	no	—
543	#3506	—	5	1	no	—
544	#3506	—	5	1	no	—
545	#3506	—	5	4	no	—
546	#3506	—	5	2	no	—
547	#3506	—	5	1	no	—
548	#3506	D₅	1	1	yes	characteristic, direct product factor
549	C₂×#559	—	5	4	no	—
550	C₂×#556	—	5	2	no	—
551	C₂×#555	—	5	2	no	—
552	C₂×#553	—	5	4	no	—
553	C₂×#550	—	5	2	no	—
554	C₂×#547	—	5	2	no	—
555	C₂×#538	—	5	4	no	—
556	C₂×#535	—	5	2	no	—
557	C₂×#533	—	5	1	no	—
558	C₂×#532	—	5	1	no	—
559	C₂×#525	—	5	4	no	—
560	C₂×#520	—	5	2	no	—
561	C₂²×C₄×D₄	—	5	1	no	—
562	C₂⁴×C₅	C₂⁴	1	2	yes	—
563	C₂³×D₅	—	2	8	no	—
564	C₂³×D₅	—	4	4	no	—
565	C₂³×D₅	—	4	4	no	—
566	C₂³×D₅	C₂⁴	1	4	yes	—
567	C₂³×D₅	C₂⁴	1	4	yes	—
568	C₂³×D₅	C₂⁴	1	1	yes	characteristic
569	C₂³×D₅	C₂⁴	1	2	yes	—
570	C₂³×D₅	C₂⁴	1	4	yes	—
571	C₅×#41	—	2	8	no	—
572	C₅×#41	—	4	8	no	—
573	C₂×C₅×Q₈	C₂⁴	1	2	yes	—
574	C₂×C₅×Q₈	C₂⁴	1	2	yes	—
575	C₂×C₅×Q₈	C₂⁴	1	2	yes	—
576	C₂×C₅×D₄	—	2	4	no	—
577	C₂×C₅×D₄	C₂⁴	1	4	yes	—
578	C₂×C₅×D₄	C₂⁴	1	2	yes	—
579	C₂×C₅×D₄	C₂⁴	1	2	yes	—
580	C₂×C₅×D₄	C₂⁴	1	2	yes	—
581	C₂×C₅×D₄	C₂⁴	1	2	yes	—
582	C₂×C₅×D₄	C₂⁴	1	8	yes	—
583	C₂×C₅×D₄	C₂⁴	1	2	yes	—
584	C₂×C₅×D₄	C₂⁴	1	8	yes	—
585	C₂²×C₄×C₅	—	4	4	no	—
586	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
587	C₂²×C₄×C₅	C₂⁴	1	4	yes	—
588	C₂²×C₄×C₅	C₂⁴	1	4	yes	—
589	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
590	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
591	C₂²×C₄×C₅	C₂⁴	1	8	yes	—
592	C₂²×C₄×C₅	C₂⁴	1	4	yes	—
593	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
594	C₂×C₂²⋊D₅	—	2	8	no	—
595	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
596	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
597	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
598	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
599	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
600	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
601	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
602	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
603	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
604	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
605	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
606	C₂²×Dic₅	—	4	4	no	—
607	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
608	C₂²×Dic₅	C₂⁴	1	4	yes	—
609	C₂²×Dic₅	C₂⁴	1	4	yes	—
610	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
611	C₂²×Dic₅	C₂⁴	1	2	yes	—
612	C₂²×Dic₅	C₂⁴	1	4	yes	—
613	C₂²×Dic₅	C₂⁴	1	8	yes	—
614	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
615	#713	—	2	8	no	—
616	#713	—	4	8	no	—
617	Q₈×D₅	—	2	8	no	—
618	Q₈×D₅	—	2	8	no	—
619	Q₈×D₅	—	4	4	no	—
620	#711	—	2	16	no	—
621	#711	—	2	8	no	—
622	#711	—	4	8	no	—
623	#711	—	4	16	no	—
624	D₄×D₅	—	2	16	no	—
625	D₄×D₅	—	2	8	no	—
626	D₄×D₅	—	2	8	no	—
627	D₄×D₅	—	2	8	no	—
628	D₄×D₅	—	2	8	no	—
629	D₄×D₅	—	2	8	no	—
630	D₄×D₅	—	2	8	no	—
631	D₄×D₅	—	4	4	no	—
632	D₄×D₅	—	4	16	no	—
633	D₄×D₅	—	4	16	no	—
634	#709	—	2	8	no	—
635	#709	—	2	16	no	—
636	#709	—	4	16	no	—
637	#709	—	4	8	no	—
638	C₂×D₂₀	—	2	4	no	—
639	C₂×D₂₀	C₂⁴	1	2	yes	—
640	C₂×D₂₀	C₂⁴	1	2	yes	—
641	C₂×D₂₀	C₂⁴	1	4	yes	—
642	C₂×D₂₀	C₂⁴	1	2	yes	—
643	C₂×D₂₀	C₂⁴	1	2	yes	—
644	C₂×D₂₀	C₂⁴	1	8	yes	—
645	C₂×D₂₀	C₂⁴	1	8	yes	—
646	C₂×D₂₀	C₂⁴	1	2	yes	—
647	C₂×C₄×D₅	—	2	16	no	—
648	C₂×C₄×D₅	—	2	4	no	—
649	C₂×C₄×D₅	—	2	16	no	—
650	C₂×C₄×D₅	—	4	8	no	—
651	C₂×C₄×D₅	—	4	4	no	—
652	C₂×C₄×D₅	—	4	8	no	—
653	C₂×C₄×D₅	—	4	4	no	—
654	C₂×C₄×D₅	—	4	4	no	—
655	C₂×C₄×D₅	—	4	8	no	—
656	C₂×C₄×D₅	—	4	2	no	—
657	C₂×C₄×D₅	—	4	16	no	—
658	C₂×C₄×D₅	#41	1	8	yes	complemented
659	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
660	C₂×C₄×D₅	C₂⁴	1	4	yes	—
661	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
662	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
663	C₂×C₄×D₅	C₂⁴	1	4	yes	—
664	C₂×C₄×D₅	C₂⁴	1	4	yes	—
665	C₂×C₄×D₅	C₂⁴	1	4	yes	—
666	C₂×C₄×D₅	C₂⁴	1	4	yes	—
667	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
668	C₂×C₄×D₅	C₂⁴	1	4	yes	—
669	C₂×C₄×D₅	C₂⁴	1	4	yes	—
670	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
671	C₂×C₄×D₅	C₂⁴	1	4	yes	—
672	C₂×C₄×D₅	C₂⁴	1	4	yes	—
673	C₂×C₄×D₅	C₂⁴	1	4	yes	—
674	C₂×C₄×D₅	C₂⁴	1	4	yes	—
675	C₂×C₄×D₅	C₂⁴	1	8	yes	—
676	C₂×C₄×D₅	C₂⁴	1	8	yes	—
677	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
678	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
679	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
680	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
681	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
682	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
683	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
684	C₂×Dic₁₀	C₂⁴	1	2	yes	—
685	C₂×Dic₁₀	C₂⁴	1	4	yes	—
686	C₂×Dic₁₀	C₂⁴	1	2	yes	—
687	C₂×Dic₁₀	C₂⁴	1	4	yes	—
688	C₂×Dic₁₀	C₂⁴	1	2	yes	—
689	C₂×Dic₁₀	C₂⁴	1	4	yes	—
690	C₅×C₄⋊C₄	C₂⁴	1	2	yes	—
691	C₅×C₄⋊C₄	C₂⁴	1	2	yes	—
692	C₅×C₄⋊C₄	C₂⁴	1	2	yes	—
693	C₅×C₄⋊C₄	C₂⁴	1	8	yes	—
694	C₅×C₄⋊C₄	C₂⁴	1	2	yes	—
695	C₅×C₄⋊C₄	C₂⁴	1	2	yes	—
696	C₅×C₄⋊C₄	C₂⁴	1	2	yes	—
697	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
698	C₅×C₄⋊C₄	C₂⁴	1	2	yes	—
699	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
700	C₅×C₄⋊C₄	C₂⁴	1	2	yes	—
701	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
702	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
703	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
704	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
705	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
706	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
707	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
708	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
709	C₄²×C₅	C₂⁴	1	1	yes	characteristic
710	C₄²×C₅	C₂⁴	1	1	yes	characteristic
711	C₄²×C₅	C₂⁴	1	1	yes	characteristic
712	C₄²×C₅	C₂⁴	1	1	yes	characteristic
713	C₄²×C₅	C₂⁴	1	4	yes	—
714	C₄²×C₅	C₂⁴	1	8	yes	—
715	C₂²⋊Dic₅	C₂⁴	1	4	yes	—
716	C₂²⋊Dic₅	C₂⁴	1	4	yes	—
717	C₂²⋊Dic₅	C₂⁴	1	4	yes	—
718	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
719	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
720	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
721	C₂²⋊Dic₅	C₂⁴	1	4	yes	—
722	C₂²⋊Dic₅	C₂⁴	1	4	yes	—
723	#685	C₂⁴	1	4	yes	—
724	#685	C₂⁴	1	4	yes	—
725	#685	C₂⁴	1	8	yes	—
726	#685	C₂⁴	1	8	yes	—
727	#685	C₂⁴	1	8	yes	—
728	#685	C₂⁴	1	8	yes	—
729	#685	C₂⁴	1	4	yes	—
730	#685	C₂⁴	1	4	yes	—
731	#685	C₂⁴	1	4	yes	—
732	#685	C₂⁴	1	4	yes	—
733	#685	C₂⁴	1	4	yes	—
734	#685	C₂⁴	1	8	yes	—
735	#685	C₂⁴	1	8	yes	—
736	#685	C₂⁴	1	4	yes	—
737	#685	C₂⁴	1	4	yes	—
738	#685	C₂⁴	1	4	yes	—
739	C₄⋊Dic₅	C₂⁴	1	2	yes	—
740	C₄⋊Dic₅	C₂⁴	1	2	yes	—
741	C₄⋊Dic₅	C₂⁴	1	2	yes	—
742	C₄⋊Dic₅	C₂⁴	1	8	yes	—
743	C₄⋊Dic₅	C₂⁴	1	4	yes	—
744	C₄⋊Dic₅	C₂⁴	1	4	yes	—
745	C₄⋊Dic₅	C₂⁴	1	2	yes	—
746	C₄⋊Dic₅	C₂⁴	1	2	yes	—
747	C₄⋊Dic₅	C₂⁴	1	2	yes	—
748	C₄⋊Dic₅	C₂⁴	1	2	yes	—
749	C₄⋊Dic₅	C₂⁴	1	2	yes	—
750	#683	C₂⁴	1	4	yes	—
751	#683	C₂⁴	1	4	yes	—
752	#683	C₂⁴	1	4	yes	—
753	#683	C₂⁴	1	4	yes	—
754	#683	C₂⁴	1	4	yes	—
755	#683	C₂⁴	1	8	yes	—
756	#683	C₂⁴	1	4	yes	—
757	#683	C₂⁴	1	4	yes	—
758	#683	C₂⁴	1	8	yes	—
759	#683	C₂⁴	1	4	yes	—
760	#683	C₂⁴	1	4	yes	—
761	#683	C₂⁴	1	4	yes	—
762	#683	C₂⁴	1	4	yes	—
763	#683	C₂⁴	1	4	yes	—
764	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
765	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
766	C₄×Dic₅	C₂⁴	1	4	yes	—
767	C₄×Dic₅	C₂⁴	1	4	yes	—
768	C₄×Dic₅	C₂⁴	1	8	yes	—
769	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
770	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
771	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
772	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
773	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
774	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
775	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
776	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
777	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
778	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
779	C₄×Dic₅	C₂⁴	1	8	yes	—
780	C₄×Dic₅	C₂⁴	1	8	yes	—
781	C₄×Dic₅	C₂⁴	1	4	yes	—
782	C₂²×#41	—	5	2	no	—
783	C₂²×#41	—	5	4	no	—
784	C₂³×D₄	—	5	1	no	—
785	C₂⁴×C₄	—	5	2	no	—
786	#559	—	5	4	no	—
787	#559	—	5	4	no	—
788	#559	—	5	4	no	—
789	#559	—	5	8	no	—
790	#559	—	5	8	no	—
791	#559	—	5	8	no	—
792	#559	—	5	4	no	—
793	#559	—	5	4	no	—
794	#559	—	5	4	no	—
795	#559	—	5	8	no	—
796	#559	—	5	4	no	—
797	#559	C₂×D₅	1	4	yes	complemented
798	#556	—	5	2	no	—
799	#556	—	5	8	no	—
800	#556	—	5	4	no	—
801	#556	—	5	4	no	—
802	#556	—	5	4	no	—
803	#556	—	5	2	no	—
804	#556	—	5	2	no	—
805	#556	—	5	4	no	—
806	#556	C₂×D₅	1	2	yes	complemented
807	#555	—	5	2	no	—
808	#555	—	5	8	no	—
809	#555	—	5	4	no	—
810	#555	—	5	4	no	—
811	#555	—	5	2	no	—
812	#555	—	5	2	no	—
813	#555	—	5	4	no	—
814	#555	—	5	4	no	—
815	#555	C₂×D₅	1	2	yes	complemented
816	#553	—	5	8	no	—
817	#553	—	5	4	no	—
818	#553	—	5	8	no	—
819	#553	—	5	4	no	—
820	#553	—	5	4	no	—
821	#553	—	5	8	no	—
822	#553	—	5	4	no	—
823	#553	—	5	8	no	—
824	#553	—	5	4	no	—
825	#553	—	5	4	no	—
826	#553	—	5	4	no	—
827	#553	C₂×D₅	1	4	yes	complemented
828	#550	—	5	4	no	—
829	#550	—	5	4	no	—
830	#550	—	5	2	no	—
831	#550	—	5	4	no	—
832	#550	—	5	8	no	—
833	#550	—	5	2	no	—
834	#550	—	5	2	no	—
835	#550	—	5	4	no	—
836	#550	C₂×D₅	1	2	yes	complemented
837	#547	—	5	4	no	—
838	#547	—	5	2	no	—
839	#547	—	5	8	no	—
840	#547	—	5	4	no	—
841	#547	—	5	4	no	—
842	#547	—	5	2	no	—
843	#547	—	5	2	no	—
844	#547	—	5	4	no	—
845	#547	C₂×D₅	1	2	yes	complemented
846	#538	—	5	8	no	—
847	#538	—	5	8	no	—
848	#538	—	5	8	no	—
849	#538	—	5	4	no	—
850	#538	—	5	4	no	—
851	#538	—	5	8	no	—
852	#538	—	5	8	no	—
853	#538	—	5	8	no	—
854	#538	—	5	4	no	—
855	#538	C₂×D₅	1	4	yes	complemented
856	#535	—	5	2	no	—
857	#535	—	5	2	no	—
858	#535	—	5	4	no	—
859	#535	—	5	4	no	—
860	#535	—	5	4	no	—
861	#535	—	5	4	no	—
862	#535	—	5	8	no	—
863	#535	—	5	2	no	—
864	#535	C₂×D₅	1	2	yes	complemented
865	#533	—	5	1	no	—
866	#533	—	5	1	no	—
867	#533	—	5	2	no	—
868	#533	—	5	2	no	—
869	#533	—	5	2	no	—
870	#533	—	5	2	no	—
871	#533	—	5	2	no	—
872	#533	—	5	2	no	—
873	#533	—	5	1	no	—
874	#533	C₂×D₅	1	1	yes	characteristic, complemented
875	#532	—	5	2	no	—
876	#532	—	5	1	no	—
877	#532	—	5	1	no	—
878	#532	—	5	2	no	—
879	#532	—	5	2	no	—
880	#532	—	5	2	no	—
881	#532	—	5	2	no	—
882	#532	—	5	2	no	—
883	#532	—	5	1	no	—
884	#532	C₂×D₅	1	1	yes	characteristic, complemented
885	C₂×C₄⋊Q₈	—	5	1	no	—
886	C₂×C₄⋊Q₈	—	5	1	no	—
887	C₂×C₄⋊Q₈	—	5	1	no	—
888	C₂×#127	—	5	4	no	—
889	C₂×#127	—	5	1	no	—
890	C₂×#126	—	5	8	no	—
891	C₂×#125	—	5	2	no	—
892	C₂×#124	—	5	4	no	—
893	C₂×#124	—	5	2	no	—
894	C₂×#124	—	5	8	no	—
895	#525	—	5	4	no	—
896	#525	—	5	4	no	—
897	#525	—	5	8	no	—
898	#525	—	5	4	no	—
899	#525	—	5	4	no	—
900	#525	—	5	4	no	—
901	#525	—	5	4	no	—
902	#525	—	5	8	no	—
903	#525	—	5	8	no	—
904	#525	—	5	8	no	—
905	#525	—	5	4	no	—
906	#525	C₂×D₅	1	4	yes	complemented
907	C₂×#123	—	5	8	no	—
908	C₂×#123	—	5	8	no	—
909	C₂×C₂²⋊Q₈	—	5	2	no	—
910	C₂×C₂²⋊Q₈	—	5	2	no	—
911	C₂×C₂²⋊Q₈	—	5	4	no	—
912	C₂×#121	—	5	2	no	—
913	C₂×#121	—	5	2	no	—
914	C₂×#121	—	5	4	no	—
915	C₂×#121	—	5	4	no	—
916	C₂×#121	—	5	4	no	—
917	C₂×#121	—	5	8	no	—
918	C₂×#120	—	5	8	no	—
919	#520	—	5	2	no	—
920	#520	—	5	4	no	—
921	#520	—	5	8	no	—
922	#520	—	5	4	no	—
923	#520	—	5	2	no	—
924	#520	—	5	4	no	—
925	#520	—	5	2	no	—
926	#520	—	5	4	no	—
927	#520	C₂×D₅	1	2	yes	complemented
928	C₂×C₄×Q₈	—	5	4	no	—
929	C₂×C₄×Q₈	—	5	2	no	—
930	C₂×C₄×Q₈	—	5	2	no	—
931	C₂×C₄×D₄	—	5	1	no	—
932	C₂×C₄×D₄	—	5	2	no	—
933	C₂×C₄×D₄	—	5	2	no	—
934	C₂×C₄×D₄	—	5	2	no	—
935	C₂×C₄×D₄	—	5	2	no	—
936	C₂×C₄×D₄	—	5	2	no	—
937	C₂×C₄×D₄	—	5	8	no	—
938	C₂×C₄×D₄	—	5	2	no	—
939	C₂×C₄×D₄	—	5	2	no	—
940	C₂×C₄×D₄	—	5	2	no	—
941	C₂×C₄×D₄	—	5	2	no	—
942	C₂×C₄×D₄	—	5	4	no	—
943	C₂×C₄×D₄	—	5	8	no	—
944	C₂×C₄×D₄	—	5	2	no	—
945	C₂×C₄×D₄	—	5	2	no	—
946	C₂×C₄×D₄	—	5	1	no	—
947	C₂×C₄×D₄	—	5	2	no	—
948	C₂×C₄×D₄	—	5	1	no	—
949	C₂×C₄×D₄	C₂×D₅	1	1	yes	characteristic, complemented
950	C₂×#117	—	5	2	no	—
951	C₂×#117	—	5	4	no	—
952	C₂×#117	—	5	4	no	—
953	C₂²×C₄⋊C₄	—	5	1	no	—
954	C₂²×C₄⋊C₄	—	5	4	no	—
955	C₂²×C₂²⋊C₄	—	5	2	no	—
956	C₂²×C₄²	—	5	1	no	—
957	C₂³×C₅	—	2	4	no	—
958	C₂³×C₅	—	4	2	no	—
959	C₂³×C₅	—	4	2	no	—
960	C₂³×C₅	C₂⁵	1	4	yes	—
961	C₂³×C₅	C₂⁵	1	4	yes	—
962	C₂³×C₅	C₂⁵	1	1	yes	characteristic
963	C₂²×D₅	—	2	2	no	—
964	C₂²×D₅	—	2	2	no	—
965	C₂²×D₅	—	2	4	no	—
966	C₂²×D₅	—	2	8	no	—
967	C₂²×D₅	—	2	8	no	—
968	C₂²×D₅	—	2	8	no	—
969	C₂²×D₅	—	2	8	no	—
970	C₂²×D₅	—	2	8	no	—
971	C₂²×D₅	—	2	8	no	—
972	C₂²×D₅	—	2	8	no	—
973	C₂²×D₅	—	4	4	no	—
974	C₂²×D₅	—	4	2	no	—
975	C₂²×D₅	—	4	4	no	—
976	C₂²×D₅	—	4	2	no	—
977	C₂²×D₅	—	4	32	no	—
978	C₂²×D₅	C₂×#41	1	4	yes	—
979	C₂²×D₅	C₂⁵	1	4	yes	—
980	C₂²×D₅	C₂⁵	1	4	yes	—
981	C₂²×D₅	C₂⁵	1	1	yes	characteristic
982	C₂²×D₅	C₂⁵	1	1	yes	characteristic
983	C₅×Q₈	—	2	4	no	—
984	C₅×Q₈	—	2	4	no	—
985	C₅×Q₈	—	4	2	no	—
986	C₅×D₄	—	2	8	no	—
987	C₅×D₄	—	2	4	no	—
988	C₅×D₄	—	2	4	no	—
989	C₅×D₄	—	2	4	no	—
990	C₅×D₄	—	2	4	no	—
991	C₅×D₄	—	4	8	no	—
992	C₅×D₄	—	4	8	no	—
993	C₅×D₄	—	4	2	no	—
994	C₂×C₄×C₅	—	2	8	no	—
995	C₂×C₄×C₅	—	2	2	no	—
996	C₂×C₄×C₅	—	2	8	no	—
997	C₂×C₄×C₅	—	4	2	no	—
998	C₂×C₄×C₅	—	4	4	no	—
999	C₂×C₄×C₅	—	4	8	no	—
1000	C₂×C₄×C₅	—	4	1	no	—
1001	C₂×C₄×C₅	C₂×#41	1	4	yes	complemented
1002	C₂×C₄×C₅	C₂⁵	1	4	yes	—
1003	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
1004	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
1005	C₂×C₄×C₅	C₂⁵	1	4	yes	—
1006	C₂×C₄×C₅	C₂⁵	1	4	yes	—
1007	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
1008	C₂×C₄×C₅	C₂⁵	1	4	yes	—
1009	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
1010	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
1011	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
1012	C₂²⋊D₅	—	2	8	no	—
1013	C₂²⋊D₅	—	2	8	no	—
1014	C₂²⋊D₅	—	2	8	no	—
1015	C₂²⋊D₅	—	2	8	no	—
1016	C₂²⋊D₅	—	2	8	no	—
1017	C₂²⋊D₅	—	2	8	no	—
1018	C₂²⋊D₅	—	4	8	no	—
1019	C₂²⋊D₅	—	4	8	no	—
1020	C₂²⋊D₅	—	4	8	no	—
1021	C₂²⋊D₅	—	4	8	no	—
1022	C₂²⋊D₅	—	4	4	no	—
1023	C₂×Dic₅	—	2	8	no	—
1024	C₂×Dic₅	—	2	2	no	—
1025	C₂×Dic₅	—	2	8	no	—
1026	C₂×Dic₅	—	4	2	no	—
1027	C₂×Dic₅	—	4	4	no	—
1028	C₂×Dic₅	—	4	8	no	—
1029	C₂×Dic₅	—	4	1	no	—
1030	C₂×Dic₅	C₂×#41	1	4	yes	complemented
1031	C₂×Dic₅	C₂⁵	1	4	yes	—
1032	C₂×Dic₅	C₂⁵	1	1	yes	characteristic
1033	C₂×Dic₅	C₂⁵	1	4	yes	—
1034	C₂×Dic₅	C₂⁵	1	1	yes	characteristic
1035	C₂×Dic₅	C₂⁵	1	4	yes	—
1036	C₂×Dic₅	C₂⁵	1	1	yes	characteristic
1037	C₂×Dic₅	C₂⁵	1	4	yes	—
1038	C₂×Dic₅	C₂⁵	1	1	yes	characteristic
1039	C₂×Dic₅	C₂⁵	1	1	yes	characteristic
1040	C₂×Dic₅	C₂⁵	1	1	yes	characteristic
1041	D₂₀	—	2	8	no	—
1042	D₂₀	—	2	4	no	—
1043	D₂₀	—	2	4	no	—
1044	D₂₀	—	2	4	no	—
1045	D₂₀	—	2	4	no	—
1046	D₂₀	—	4	8	no	—
1047	D₂₀	—	4	8	no	—
1048	D₂₀	—	4	2	no	—
1049	C₄×D₅	—	2	8	no	—
1050	C₄×D₅	—	2	2	no	—
1051	C₄×D₅	—	2	8	no	—
1052	C₄×D₅	—	2	8	no	—
1053	C₄×D₅	—	2	2	no	—
1054	C₄×D₅	—	2	2	no	—
1055	C₄×D₅	—	2	8	no	—
1056	C₄×D₅	—	2	8	no	—
1057	C₄×D₅	—	2	2	no	—
1058	C₄×D₅	—	2	8	no	—
1059	C₄×D₅	—	2	8	no	—
1060	C₄×D₅	—	2	2	no	—
1061	C₄×D₅	—	2	8	no	—
1062	C₄×D₅	—	4	4	no	—
1063	C₄×D₅	—	4	4	no	—
1064	C₄×D₅	—	4	4	no	—
1065	C₄×D₅	—	4	1	no	—
1066	C₄×D₅	—	4	1	no	—
1067	C₄×D₅	—	4	8	no	—
1068	C₄×D₅	—	4	8	no	—
1069	C₄×D₅	C₂×#41	1	4	yes	—
1070	C₄×D₅	C₂×#41	1	4	yes	—
1071	C₄×D₅	C₂×#41	1	4	yes	complemented
1072	C₄×D₅	C₂×#41	1	4	yes	complemented
1073	C₄×D₅	H(5,𝔽₂)	1	4	yes	—
1074	Dic₁₀	—	2	4	no	—
1075	Dic₁₀	—	2	4	no	—
1076	Dic₁₀	—	2	8	no	—
1077	Dic₁₀	—	2	8	no	—
1078	Dic₁₀	—	4	4	no	—
1079	Dic₁₀	—	4	2	no	—
1080	C₂⁵	—	5	2	no	—
1081	C₂×#41	—	5	2	no	—
1082	C₂×#41	—	5	4	no	—
1083	C₂×#41	—	5	4	no	—
1084	C₂×#41	—	5	2	no	—
1085	C₂×#41	—	5	8	no	—
1086	C₂×#41	—	5	4	no	—
1087	C₂×#41	—	5	4	no	—
1088	C₂×#41	—	5	2	no	—
1089	C₂×#41	—	5	8	no	—
1090	C₂×#41	—	5	4	no	—
1091	C₂×#41	—	10	16	no	—
1092	C₂×#41	—	20	16	no	—
1093	C₂×#41	C₂²×D₅	1	2	yes	—
1094	C₂×#41	C₂²×D₅	1	4	yes	complemented
1095	C₂²×Q₈	—	5	2	no	—
1096	C₂²×Q₈	—	5	2	no	—
1097	C₂²×Q₈	—	5	2	no	—
1098	C₂²×D₄	—	5	2	no	—
1099	C₂²×D₄	—	5	4	no	—
1100	C₂²×D₄	—	5	2	no	—
1101	C₂²×D₄	—	5	2	no	—
1102	C₂²×D₄	—	5	2	no	—
1103	C₂²×D₄	—	5	2	no	—
1104	C₂²×D₄	—	5	2	no	—
1105	C₂²×D₄	—	5	2	no	—
1106	C₂²×D₄	—	5	8	no	—
1107	C₂²×D₄	—	5	2	no	—
1108	C₂²×D₄	—	5	8	no	—
1109	C₂²×D₄	—	5	1	no	—
1110	C₂²×D₄	—	10	8	no	—
1111	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
1112	C₂³×C₄	—	5	1	no	—
1113	C₂³×C₄	—	5	2	no	—
1114	C₂³×C₄	—	5	4	no	—
1115	C₂³×C₄	—	5	4	no	—
1116	C₂³×C₄	—	5	1	no	—
1117	C₂³×C₄	—	5	1	no	—
1118	C₂³×C₄	—	5	2	no	—
1119	C₂³×C₄	—	5	8	no	—
1120	C₂³×C₄	—	5	4	no	—
1121	C₂³×C₄	—	5	2	no	—
1122	C₂³×C₄	—	5	4	no	—
1123	C₂³×C₄	—	5	2	no	—
1124	C₂³×C₄	—	5	4	no	—
1125	C₂³×C₄	—	20	8	no	—
1126	C₂³×C₄	C₂²×D₅	1	2	yes	—
1127	C₄⋊Q₈	—	5	2	no	—
1128	C₄⋊Q₈	—	5	2	no	—
1129	C₄⋊Q₈	—	5	2	no	—
1130	C₄⋊Q₈	—	5	2	no	—
1131	C₄⋊Q₈	—	5	2	no	—
1132	C₄⋊Q₈	—	5	2	no	—
1133	C₄⋊Q₈	—	5	2	no	—
1134	C₄⋊Q₈	—	5	2	no	—
1135	C₄⋊Q₈	—	5	2	no	—
1136	C₄⋊Q₈	—	5	1	no	—
1137	C₄⋊Q₈	—	5	1	no	—
1138	C₄⋊Q₈	—	5	1	no	—
1139	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic, complemented
1140	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic, complemented
1141	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic, complemented
1142	#127	—	5	2	no	—
1143	#127	—	5	2	no	—
1144	#127	—	5	2	no	—
1145	#127	—	5	8	no	—
1146	#127	—	5	8	no	—
1147	#127	—	5	4	no	—
1148	#127	—	5	4	no	—
1149	#127	—	5	1	no	—
1150	#127	—	5	4	no	—
1151	#127	C₂²×D₅	1	4	yes	—
1152	#127	C₂²×D₅	1	1	yes	characteristic, complemented
1153	#126	—	5	8	no	—
1154	#126	—	5	8	no	—
1155	#126	—	5	8	no	—
1156	#126	—	5	8	no	—
1157	#126	—	5	8	no	—
1158	#126	—	5	8	no	—
1159	#126	—	5	8	no	—
1160	#126	C₂²×D₅	1	8	yes	complemented
1161	#125	—	5	4	no	—
1162	#125	—	5	4	no	—
1163	#125	—	5	2	no	—
1164	#125	—	5	2	no	—
1165	#125	—	5	2	no	—
1166	#125	C₂²×D₅	1	2	yes	complemented
1167	#124	—	5	2	no	—
1168	#124	—	5	4	no	—
1169	#124	—	5	8	no	—
1170	#124	—	5	2	no	—
1171	#124	—	5	4	no	—
1172	#124	—	5	8	no	—
1173	#124	—	5	4	no	—
1174	#124	—	5	4	no	—
1175	#124	—	5	8	no	—
1176	#124	—	5	8	no	—
1177	#124	—	5	8	no	—
1178	#124	—	5	8	no	—
1179	#124	—	5	8	no	—
1180	#124	—	5	8	no	—
1181	#124	—	5	2	no	—
1182	#124	—	5	4	no	—
1183	#124	—	5	8	no	—
1184	#124	C₂²×D₅	1	4	yes	—
1185	#124	C₂²×D₅	1	2	yes	complemented
1186	#124	C₂²×D₅	1	8	yes	complemented
1187	#123	—	5	8	no	—
1188	#123	—	5	8	no	—
1189	#123	—	5	8	no	—
1190	#123	—	5	8	no	—
1191	#123	—	5	8	no	—
1192	#123	—	5	8	no	—
1193	#123	—	5	8	no	—
1194	#123	—	5	8	no	—
1195	#123	—	5	8	no	—
1196	#123	—	5	8	no	—
1197	#123	—	5	8	no	—
1198	#123	—	5	8	no	—
1199	#123	—	5	8	no	—
1200	#123	—	5	8	no	—
1201	#123	C₂²×D₅	1	8	yes	complemented
1202	#123	C₂²×D₅	1	8	yes	complemented
1203	C₂²⋊Q₈	—	5	2	no	—
1204	C₂²⋊Q₈	—	5	4	no	—
1205	C₂²⋊Q₈	—	5	2	no	—
1206	C₂²⋊Q₈	—	5	2	no	—
1207	C₂²⋊Q₈	—	5	4	no	—
1208	C₂²⋊Q₈	—	5	2	no	—
1209	C₂²⋊Q₈	—	5	4	no	—
1210	C₂²⋊Q₈	—	5	2	no	—
1211	C₂²⋊Q₈	—	5	8	no	—
1212	C₂²⋊Q₈	—	5	4	no	—
1213	C₂²⋊Q₈	—	5	4	no	—
1214	C₂²⋊Q₈	—	5	2	no	—
1215	C₂²⋊Q₈	—	5	4	no	—
1216	C₂²⋊Q₈	—	5	8	no	—
1217	C₂²⋊Q₈	—	5	4	no	—
1218	C₂²⋊Q₈	C₂²×D₅	1	2	yes	—
1219	C₂²⋊Q₈	C₂²×D₅	1	2	yes	—
1220	C₂²⋊Q₈	C₂²×D₅	1	4	yes	complemented
1221	#121	—	5	2	no	—
1222	#121	—	5	4	no	—
1223	#121	—	5	4	no	—
1224	#121	—	5	8	no	—
1225	#121	—	5	2	no	—
1226	#121	—	5	4	no	—
1227	#121	—	5	4	no	—
1228	#121	—	5	8	no	—
1229	#121	—	5	4	no	—
1230	#121	—	5	8	no	—
1231	#121	—	5	8	no	—
1232	#121	—	5	8	no	—
1233	#121	—	5	8	no	—
1234	#121	—	5	2	no	—
1235	#121	—	5	4	no	—
1236	#121	—	5	2	no	—
1237	#121	—	5	4	no	—
1238	#121	—	5	4	no	—
1239	#121	—	5	8	no	—
1240	#121	—	5	2	no	—
1241	#121	—	5	4	no	—
1242	#121	—	5	2	no	—
1243	#121	—	5	4	no	—
1244	#121	—	5	4	no	—
1245	#121	—	5	8	no	—
1246	#121	—	5	4	no	—
1247	#121	—	5	8	no	—
1248	#121	—	5	4	no	—
1249	#121	—	5	8	no	—
1250	#121	—	5	8	no	—
1251	#121	—	5	8	no	—
1252	#121	—	5	8	no	—
1253	#121	C₂²×D₅	1	2	yes	—
1254	#121	C₂²×D₅	1	2	yes	—
1255	#121	C₂²×D₅	1	4	yes	—
1256	#121	C₂²×D₅	1	4	yes	—
1257	#121	C₂²×D₅	1	4	yes	complemented
1258	#121	C₂²×D₅	1	8	yes	complemented
1259	#120	—	5	8	no	—
1260	#120	—	5	8	no	—
1261	#120	—	5	8	no	—
1262	#120	—	5	8	no	—
1263	#120	—	5	8	no	—
1264	#120	—	5	8	no	—
1265	#120	—	5	8	no	—
1266	#120	C₂²×D₅	1	8	yes	—
1267	C₄×Q₈	—	5	4	no	—
1268	C₄×Q₈	—	5	2	no	—
1269	C₄×Q₈	—	5	2	no	—
1270	C₄×Q₈	—	5	8	no	—
1271	C₄×Q₈	—	5	4	no	—
1272	C₄×Q₈	—	5	4	no	—
1273	C₄×Q₈	—	5	2	no	—
1274	C₄×Q₈	—	5	2	no	—
1275	C₄×Q₈	—	5	4	no	—
1276	C₄×Q₈	—	5	4	no	—
1277	C₄×Q₈	—	5	8	no	—
1278	C₄×Q₈	—	5	4	no	—
1279	C₄×Q₈	—	5	2	no	—
1280	C₄×Q₈	—	5	4	no	—
1281	C₄×Q₈	—	5	2	no	—
1282	C₄×Q₈	C₂²×D₅	1	4	yes	complemented
1283	C₄×Q₈	C₂²×D₅	1	2	yes	complemented
1284	C₄×Q₈	C₂²×D₅	1	2	yes	complemented
1285	C₄×D₄	—	5	2	no	—
1286	C₄×D₄	—	5	2	no	—
1287	C₄×D₄	—	5	2	no	—
1288	C₄×D₄	—	5	2	no	—
1289	C₄×D₄	—	5	8	no	—
1290	C₄×D₄	—	5	4	no	—
1291	C₄×D₄	—	5	8	no	—
1292	C₄×D₄	—	5	2	no	—
1293	C₄×D₄	—	5	2	no	—
1294	C₄×D₄	—	5	4	no	—
1295	C₄×D₄	—	5	4	no	—
1296	C₄×D₄	—	5	4	no	—
1297	C₄×D₄	—	5	4	no	—
1298	C₄×D₄	—	5	8	no	—
1299	C₄×D₄	—	5	8	no	—
1300	C₄×D₄	—	5	8	no	—
1301	C₄×D₄	—	5	8	no	—
1302	C₄×D₄	—	5	8	no	—
1303	C₄×D₄	—	5	4	no	—
1304	C₄×D₄	—	5	4	no	—
1305	C₄×D₄	—	5	2	no	—
1306	C₄×D₄	—	5	2	no	—
1307	C₄×D₄	—	5	2	no	—
1308	C₄×D₄	—	5	2	no	—
1309	C₄×D₄	—	5	8	no	—
1310	C₄×D₄	—	5	4	no	—
1311	C₄×D₄	—	5	8	no	—
1312	C₄×D₄	—	5	2	no	—
1313	C₄×D₄	—	5	2	no	—
1314	C₄×D₄	—	5	4	no	—
1315	C₄×D₄	—	5	4	no	—
1316	C₄×D₄	—	5	4	no	—
1317	C₄×D₄	—	5	4	no	—
1318	C₄×D₄	—	5	8	no	—
1319	C₄×D₄	—	5	8	no	—
1320	C₄×D₄	—	5	8	no	—
1321	C₄×D₄	—	5	8	no	—
1322	C₄×D₄	—	5	8	no	—
1323	C₄×D₄	—	5	4	no	—
1324	C₄×D₄	—	5	4	no	—
1325	C₄×D₄	—	5	2	no	—
1326	C₄×D₄	—	5	2	no	—
1327	C₄×D₄	—	5	2	no	—
1328	C₄×D₄	—	5	2	no	—
1329	C₄×D₄	—	5	8	no	—
1330	C₄×D₄	—	5	4	no	—
1331	C₄×D₄	—	5	8	no	—
1332	C₄×D₄	—	5	2	no	—
1333	C₄×D₄	—	5	2	no	—
1334	C₄×D₄	C₂²×D₅	1	2	yes	—
1335	C₄×D₄	C₂²×D₅	1	2	yes	—
1336	C₄×D₄	C₂²×D₅	1	2	yes	—
1337	C₄×D₄	C₂²×D₅	1	2	yes	—
1338	C₄×D₄	C₂²×D₅	1	8	yes	—
1339	C₄×D₄	C₂²×D₅	1	4	yes	complemented
1340	C₄×D₄	C₂²×D₅	1	8	yes	complemented
1341	C₄×D₄	C₂²×D₅	1	2	yes	complemented
1342	C₄×D₄	C₂²×D₅	1	2	yes	complemented
1343	#117	—	5	2	no	—
1344	#117	—	5	4	no	—
1345	#117	—	5	4	no	—
1346	#117	—	5	2	no	—
1347	#117	—	5	2	no	—
1348	#117	—	5	4	no	—
1349	#117	—	5	4	no	—
1350	#117	—	5	4	no	—
1351	#117	—	5	4	no	—
1352	#117	—	5	4	no	—
1353	#117	—	5	8	no	—
1354	#117	—	5	8	no	—
1355	#117	—	5	4	no	—
1356	#117	—	5	8	no	—
1357	#117	—	5	8	no	—
1358	#117	C₂²×D₅	1	2	yes	—
1359	#117	C₂²×D₅	1	4	yes	complemented
1360	#117	C₂²×D₅	1	4	yes	complemented
1361	C₂×C₄⋊C₄	—	5	2	no	—
1362	C₂×C₄⋊C₄	—	5	1	no	—
1363	C₂×C₄⋊C₄	—	5	8	no	—
1364	C₂×C₄⋊C₄	—	5	4	no	—
1365	C₂×C₄⋊C₄	—	5	2	no	—
1366	C₂×C₄⋊C₄	—	5	2	no	—
1367	C₂×C₄⋊C₄	—	5	2	no	—
1368	C₂×C₄⋊C₄	—	5	2	no	—
1369	C₂×C₄⋊C₄	—	5	2	no	—
1370	C₂×C₄⋊C₄	—	5	8	no	—
1371	C₂×C₄⋊C₄	—	5	8	no	—
1372	C₂×C₄⋊C₄	—	5	4	no	—
1373	C₂×C₄⋊C₄	—	5	4	no	—
1374	C₂×C₄⋊C₄	—	5	2	no	—
1375	C₂×C₄⋊C₄	—	5	2	no	—
1376	C₂×C₄⋊C₄	—	5	2	no	—
1377	C₂×C₄⋊C₄	—	5	4	no	—
1378	C₂×C₄⋊C₄	—	5	2	no	—
1379	C₂×C₄⋊C₄	—	5	4	no	—
1380	C₂×C₄⋊C₄	—	5	2	no	—
1381	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1382	C₂×C₄⋊C₄	C₂²×D₅	1	4	yes	complemented
1383	C₂×C₂²⋊C₄	—	5	2	no	—
1384	C₂×C₂²⋊C₄	—	5	2	no	—
1385	C₂×C₂²⋊C₄	—	5	2	no	—
1386	C₂×C₂²⋊C₄	—	5	4	no	—
1387	C₂×C₂²⋊C₄	—	5	4	no	—
1388	C₂×C₂²⋊C₄	—	5	4	no	—
1389	C₂×C₂²⋊C₄	—	5	4	no	—
1390	C₂×C₂²⋊C₄	—	5	4	no	—
1391	C₂×C₂²⋊C₄	—	5	8	no	—
1392	C₂×C₂²⋊C₄	—	5	8	no	—
1393	C₂×C₂²⋊C₄	—	5	4	no	—
1394	C₂×C₂²⋊C₄	—	5	8	no	—
1395	C₂×C₂²⋊C₄	—	5	4	no	—
1396	C₂×C₂²⋊C₄	C₂²×D₅	1	2	yes	—
1397	C₂×C₄²	—	5	1	no	—
1398	C₂×C₄²	—	5	1	no	—
1399	C₂×C₄²	—	5	1	no	—
1400	C₂×C₄²	—	5	8	no	—
1401	C₂×C₄²	—	5	4	no	—
1402	C₂×C₄²	—	5	1	no	—
1403	C₂×C₄²	—	5	1	no	—
1404	C₂×C₄²	—	5	1	no	—
1405	C₂×C₄²	—	5	1	no	—
1406	C₂×C₄²	—	5	1	no	—
1407	C₂×C₄²	—	5	1	no	—
1408	C₂×C₄²	—	5	1	no	—
1409	C₂×C₄²	—	5	1	no	—
1410	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
1411	C₂²×C₅	—	2	1	no	—
1412	C₂²×C₅	—	2	1	no	—
1413	C₂²×C₅	—	2	4	no	—
1414	C₂²×C₅	—	2	4	no	—
1415	C₂²×C₅	—	2	4	no	—
1416	C₂²×C₅	—	2	4	no	—
1417	C₂²×C₅	—	2	4	no	—
1418	C₂²×C₅	—	2	4	no	—
1419	C₂²×C₅	—	4	8	no	—
1420	C₂²×C₅	C₂²×#41	1	2	yes	—
1421	C₂²×C₅	C₂⁶	1	1	yes	characteristic
1422	C₂×D₅	—	2	1	no	—
1423	C₂×D₅	—	2	1	no	—
1424	C₂×D₅	—	2	8	no	—
1425	C₂×D₅	—	2	4	no	—
1426	C₂×D₅	—	2	4	no	—
1427	C₂×D₅	—	2	4	no	—
1428	C₂×D₅	—	2	4	no	—
1429	C₂×D₅	—	2	4	no	—
1430	C₂×D₅	—	2	4	no	—
1431	C₂×D₅	—	4	16	no	—
1432	C₂×D₅	—	4	8	no	—
1433	C₂×D₅	—	4	16	no	—
1434	C₂×D₅	—	4	16	no	—
1435	C₂×D₅	C₂²×#41	1	2	yes	—
1436	C₂×D₅	C₂²×#41	1	2	yes	—
1437	C₂×D₅	C₂×H(5,𝔽₂)	1	2	yes	—
1438	C₂×D₅	#585	1	2	yes	—
1439	C₄×C₅	—	2	4	no	—
1440	C₄×C₅	—	2	4	no	—
1441	C₄×C₅	—	2	1	no	—
1442	C₄×C₅	—	2	4	no	—
1443	C₄×C₅	—	2	1	no	—
1444	C₄×C₅	—	2	4	no	—
1445	C₄×C₅	—	2	1	no	—
1446	C₄×C₅	C₂²×#41	1	2	yes	—
1447	C₄×C₅	C₂²×#41	1	2	yes	—
1448	C₄×C₅	C₂×H(5,𝔽₂)	1	2	yes	—
1449	Dic₅	—	2	4	no	—
1450	Dic₅	—	2	4	no	—
1451	Dic₅	—	2	1	no	—
1452	Dic₅	—	2	4	no	—
1453	Dic₅	—	2	1	no	—
1454	Dic₅	—	2	4	no	—
1455	Dic₅	—	2	1	no	—
1456	Dic₅	C₂²×#41	1	2	yes	—
1457	Dic₅	C₂²×#41	1	2	yes	—
1458	Dic₅	C₂×H(5,𝔽₂)	1	2	yes	—
1459	C₂⁴	—	5	1	no	—
1460	C₂⁴	—	5	4	no	—
1461	C₂⁴	—	5	4	no	—
1462	C₂⁴	—	5	4	no	—
1463	C₂⁴	—	5	2	no	—
1464	C₂⁴	—	10	8	no	—
1465	C₂⁴	—	20	4	no	—
1466	C₂⁴	—	20	4	no	—
1467	C₂⁴	C₂³×D₅	1	2	yes	—
1468	#41	—	2	8	no	—
1469	#41	—	4	8	no	—
1470	#41	—	10	16	no	—
1471	#41	—	10	16	no	—
1472	#41	—	10	8	no	—
1473	#41	—	10	8	no	—
1474	#41	—	10	8	no	—
1475	#41	—	20	8	no	—
1476	#41	—	20	16	no	—
1477	#41	—	20	8	no	—
1478	#41	—	20	16	no	—
1479	#41	—	20	8	no	—
1480	C₂×Q₈	—	5	4	no	—
1481	C₂×Q₈	—	5	2	no	—
1482	C₂×Q₈	—	5	4	no	—
1483	C₂×Q₈	—	5	2	no	—
1484	C₂×Q₈	—	5	2	no	—
1485	C₂×Q₈	—	5	4	no	—
1486	C₂×Q₈	—	10	8	no	—
1487	C₂×Q₈	—	10	8	no	—
1488	C₂×Q₈	—	20	4	no	—
1489	C₂×Q₈	C₂³×D₅	1	2	yes	—
1490	C₂×Q₈	C₂³×D₅	1	2	yes	—
1491	C₂×Q₈	C₂³×D₅	1	2	yes	—
1492	C₂×D₄	—	2	4	no	—
1493	C₂×D₄	—	5	4	no	—
1494	C₂×D₄	—	5	4	no	—
1495	C₂×D₄	—	5	4	no	—
1496	C₂×D₄	—	5	4	no	—
1497	C₂×D₄	—	5	4	no	—
1498	C₂×D₄	—	5	4	no	—
1499	C₂×D₄	—	5	8	no	—
1500	C₂×D₄	—	5	8	no	—
1501	C₂×D₄	—	5	4	no	—
1502	C₂×D₄	—	5	8	no	—
1503	C₂×D₄	—	5	8	no	—
1504	C₂×D₄	—	5	4	no	—
1505	C₂×D₄	—	5	2	no	—
1506	C₂×D₄	—	5	2	no	—
1507	C₂×D₄	—	5	2	no	—
1508	C₂×D₄	—	5	2	no	—
1509	C₂×D₄	—	5	8	no	—
1510	C₂×D₄	—	5	2	no	—
1511	C₂×D₄	—	5	8	no	—
1512	C₂×D₄	—	10	8	no	—
1513	C₂×D₄	—	10	8	no	—
1514	C₂×D₄	—	10	8	no	—
1515	C₂×D₄	—	10	8	no	—
1516	C₂×D₄	—	10	8	no	—
1517	C₂×D₄	—	10	8	no	—
1518	C₂×D₄	—	10	8	no	—
1519	C₂×D₄	—	10	16	no	—
1520	C₂×D₄	—	10	4	no	—
1521	C₂×D₄	—	20	16	no	—
1522	C₂×D₄	—	20	4	no	—
1523	C₂×D₄	—	20	16	no	—
1524	C₂×D₄	C₂³×D₅	1	4	yes	—
1525	C₂×D₄	C₂³×D₅	1	2	yes	—
1526	C₂×D₄	C₂³×D₅	1	2	yes	—
1527	C₂×D₄	C₂³×D₅	1	2	yes	—
1528	C₂×D₄	C₂³×D₅	1	2	yes	—
1529	C₂×D₄	C₂³×D₅	1	8	yes	—
1530	C₂×D₄	C₂³×D₅	1	2	yes	—
1531	C₂×D₄	C₂³×D₅	1	8	yes	—
1532	C₂²×C₄	—	4	4	no	—
1533	C₂²×C₄	—	5	1	no	—
1534	C₂²×C₄	—	5	8	no	—
1535	C₂²×C₄	—	5	1	no	—
1536	C₂²×C₄	—	5	1	no	—
1537	C₂²×C₄	—	5	1	no	—
1538	C₂²×C₄	—	5	1	no	—
1539	C₂²×C₄	—	5	1	no	—
1540	C₂²×C₄	—	5	1	no	—
1541	C₂²×C₄	—	5	4	no	—
1542	C₂²×C₄	—	5	4	no	—
1543	C₂²×C₄	—	5	1	no	—
1544	C₂²×C₄	—	5	2	no	—
1545	C₂²×C₄	—	5	8	no	—
1546	C₂²×C₄	—	5	4	no	—
1547	C₂²×C₄	—	5	4	no	—
1548	C₂²×C₄	—	5	1	no	—
1549	C₂²×C₄	—	5	4	no	—
1550	C₂²×C₄	—	5	1	no	—
1551	C₂²×C₄	—	5	4	no	—
1552	C₂²×C₄	—	5	1	no	—
1553	C₂²×C₄	—	5	1	no	—
1554	C₂²×C₄	—	5	1	no	—
1555	C₂²×C₄	—	5	4	no	—
1556	C₂²×C₄	—	5	4	no	—
1557	C₂²×C₄	—	5	4	no	—
1558	C₂²×C₄	—	5	4	no	—
1559	C₂²×C₄	—	5	4	no	—
1560	C₂²×C₄	—	5	1	no	—
1561	C₂²×C₄	—	5	1	no	—
1562	C₂²×C₄	—	5	4	no	—
1563	C₂²×C₄	—	5	8	no	—
1564	C₂²×C₄	—	5	8	no	—
1565	C₂²×C₄	—	5	4	no	—
1566	C₂²×C₄	—	5	4	no	—
1567	C₂²×C₄	—	10	4	no	—
1568	C₂²×C₄	—	10	16	no	—
1569	C₂²×C₄	—	10	16	no	—
1570	C₂²×C₄	—	20	4	no	—
1571	C₂²×C₄	—	20	8	no	—
1572	C₂²×C₄	—	20	8	no	—
1573	C₂²×C₄	—	20	4	no	—
1574	C₂²×C₄	—	20	4	no	—
1575	C₂²×C₄	—	20	8	no	—
1576	C₂²×C₄	—	20	16	no	—
1577	C₂²×C₄	—	20	2	no	—
1578	C₂²×C₄	—	20	4	no	—
1579	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1580	C₂²×C₄	C₂³×D₅	1	4	yes	—
1581	C₂²×C₄	C₂³×D₅	1	4	yes	—
1582	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1583	C₂²×C₄	C₂³×D₅	1	2	yes	—
1584	C₂²×C₄	C₂³×D₅	1	8	yes	—
1585	C₂²×C₄	C₂³×D₅	1	4	yes	—
1586	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1587	C₄⋊C₄	—	5	4	no	—
1588	C₄⋊C₄	—	5	2	no	—
1589	C₄⋊C₄	—	5	4	no	—
1590	C₄⋊C₄	—	5	2	no	—
1591	C₄⋊C₄	—	5	4	no	—
1592	C₄⋊C₄	—	5	2	no	—
1593	C₄⋊C₄	—	5	8	no	—
1594	C₄⋊C₄	—	5	8	no	—
1595	C₄⋊C₄	—	5	8	no	—
1596	C₄⋊C₄	—	5	4	no	—
1597	C₄⋊C₄	—	5	2	no	—
1598	C₄⋊C₄	—	5	4	no	—
1599	C₄⋊C₄	—	5	2	no	—
1600	C₄⋊C₄	—	5	4	no	—
1601	C₄⋊C₄	—	5	2	no	—
1602	C₄⋊C₄	—	5	4	no	—
1603	C₄⋊C₄	—	5	4	no	—
1604	C₄⋊C₄	—	5	4	no	—
1605	C₄⋊C₄	—	5	4	no	—
1606	C₄⋊C₄	—	5	2	no	—
1607	C₄⋊C₄	—	5	4	no	—
1608	C₄⋊C₄	—	5	4	no	—
1609	C₄⋊C₄	—	5	4	no	—
1610	C₄⋊C₄	—	5	4	no	—
1611	C₄⋊C₄	—	5	2	no	—
1612	C₄⋊C₄	C₂³×D₅	1	2	yes	—
1613	C₄⋊C₄	C₂³×D₅	1	2	yes	—
1614	C₄⋊C₄	C₂³×D₅	1	2	yes	—
1615	C₄⋊C₄	C₂³×D₅	1	8	yes	—
1616	C₄⋊C₄	C₂³×D₅	1	2	yes	—
1617	C₄⋊C₄	C₂³×D₅	1	2	yes	—
1618	C₄⋊C₄	C₂³×D₅	1	2	yes	—
1619	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1620	C₄⋊C₄	C₂³×D₅	1	2	yes	—
1621	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1622	C₄⋊C₄	C₂³×D₅	1	2	yes	—
1623	C₂²⋊C₄	—	5	4	no	—
1624	C₂²⋊C₄	—	5	4	no	—
1625	C₂²⋊C₄	—	5	4	no	—
1626	C₂²⋊C₄	—	5	8	no	—
1627	C₂²⋊C₄	—	5	8	no	—
1628	C₂²⋊C₄	—	5	4	no	—
1629	C₂²⋊C₄	—	5	8	no	—
1630	C₂²⋊C₄	—	5	4	no	—
1631	C₂²⋊C₄	—	5	4	no	—
1632	C₂²⋊C₄	—	5	4	no	—
1633	C₂²⋊C₄	—	5	4	no	—
1634	C₂²⋊C₄	—	5	4	no	—
1635	C₂²⋊C₄	—	5	4	no	—
1636	C₂²⋊C₄	—	5	4	no	—
1637	C₂²⋊C₄	—	5	8	no	—
1638	C₂²⋊C₄	—	5	8	no	—
1639	C₂²⋊C₄	—	5	8	no	—
1640	C₂²⋊C₄	—	5	8	no	—
1641	C₂²⋊C₄	—	5	4	no	—
1642	C₂²⋊C₄	—	5	4	no	—
1643	C₂²⋊C₄	—	5	8	no	—
1644	C₂²⋊C₄	—	5	8	no	—
1645	C₂²⋊C₄	—	5	4	no	—
1646	C₂²⋊C₄	—	5	4	no	—
1647	C₂²⋊C₄	C₂³×D₅	1	4	yes	—
1648	C₂²⋊C₄	C₂³×D₅	1	4	yes	—
1649	C₂²⋊C₄	C₂³×D₅	1	4	yes	—
1650	C₂²⋊C₄	C₂³×D₅	1	8	yes	—
1651	C₂²⋊C₄	C₂³×D₅	1	8	yes	—
1652	C₂²⋊C₄	C₂³×D₅	1	4	yes	—
1653	C₂²⋊C₄	C₂³×D₅	1	8	yes	—
1654	C₂²⋊C₄	C₂³×D₅	1	4	yes	—
1655	C₄²	—	5	1	no	—
1656	C₄²	—	5	1	no	—
1657	C₄²	—	5	1	no	—
1658	C₄²	—	5	1	no	—
1659	C₄²	—	5	1	no	—
1660	C₄²	—	5	1	no	—
1661	C₄²	—	5	1	no	—
1662	C₄²	—	5	1	no	—
1663	C₄²	—	5	1	no	—
1664	C₄²	—	5	1	no	—
1665	C₄²	—	5	1	no	—
1666	C₄²	—	5	1	no	—
1667	C₄²	—	5	8	no	—
1668	C₄²	—	5	8	no	—
1669	C₄²	—	5	8	no	—
1670	C₄²	—	5	4	no	—
1671	C₄²	—	5	4	no	—
1672	C₄²	—	5	4	no	—
1673	C₄²	C₂³×D₅	1	1	yes	characteristic
1674	C₄²	C₂³×D₅	1	1	yes	characteristic
1675	C₄²	C₂³×D₅	1	1	yes	characteristic
1676	C₄²	C₂³×D₅	1	1	yes	characteristic
1677	C₄²	C₂³×D₅	1	8	yes	—
1678	C₄²	C₂³×D₅	1	4	yes	—
1679	C₂×C₅	—	2	2	no	—
1680	C₂×C₅	—	4	4	no	—
1681	C₂×C₅	—	4	4	no	—
1682	C₂×C₅	C₂³×#41	1	1	yes	characteristic
1683	C₂×C₅	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1684	C₂×C₅	C₂×#585	1	1	yes	characteristic
1685	D₅	—	2	2	no	—
1686	D₅	—	4	4	no	—
1687	D₅	—	4	4	no	—
1688	D₅	#3506	1	4	yes	direct product factor
1689	C₂³	—	2	4	no	—
1690	C₂³	—	4	2	no	—
1691	C₂³	—	4	2	no	—
1692	C₂³	—	5	1	no	—
1693	C₂³	—	5	4	no	—
1694	C₂³	—	5	1	no	—
1695	C₂³	—	5	4	no	—
1696	C₂³	—	5	4	no	—
1697	C₂³	—	10	2	no	—
1698	C₂³	—	10	2	no	—
1699	C₂³	—	10	8	no	—
1700	C₂³	—	10	8	no	—
1701	C₂³	—	10	8	no	—
1702	C₂³	—	10	8	no	—
1703	C₂³	—	10	8	no	—
1704	C₂³	—	10	8	no	—
1705	C₂³	—	10	8	no	—
1706	C₂³	—	10	4	no	—
1707	C₂³	—	20	2	no	—
1708	C₂³	—	20	4	no	—
1709	C₂³	—	20	2	no	—
1710	C₂³	—	20	4	no	—
1711	C₂³	—	20	32	no	—
1712	C₂³	C₂⁴×D₅	1	4	yes	—
1713	C₂³	C₂⁴×D₅	1	4	yes	—
1714	C₂³	C₂⁴×D₅	1	1	yes	characteristic
1715	Q₈	—	2	4	no	—
1716	Q₈	—	2	4	no	—
1717	Q₈	—	4	2	no	—
1718	Q₈	—	10	8	no	—
1719	Q₈	—	10	8	no	—
1720	Q₈	—	10	4	no	—
1721	Q₈	—	10	4	no	—
1722	Q₈	—	20	2	no	—
1723	Q₈	—	20	4	no	—
1724	D₄	—	2	8	no	—
1725	D₄	—	2	4	no	—
1726	D₄	—	2	4	no	—
1727	D₄	—	2	4	no	—
1728	D₄	—	2	4	no	—
1729	D₄	—	4	8	no	—
1730	D₄	—	4	2	no	—
1731	D₄	—	4	8	no	—
1732	D₄	—	10	8	no	—
1733	D₄	—	10	8	no	—
1734	D₄	—	10	8	no	—
1735	D₄	—	10	8	no	—
1736	D₄	—	10	8	no	—
1737	D₄	—	10	8	no	—
1738	D₄	—	10	8	no	—
1739	D₄	—	10	4	no	—
1740	D₄	—	10	4	no	—
1741	D₄	—	10	4	no	—
1742	D₄	—	10	4	no	—
1743	D₄	—	20	8	no	—
1744	D₄	—	20	2	no	—
1745	D₄	—	20	8	no	—
1746	D₄	—	20	8	no	—
1747	D₄	—	20	8	no	—
1748	D₄	—	20	4	no	—
1749	D₄	—	20	8	no	—
1750	D₄	—	20	8	no	—
1751	C₂×C₄	—	2	8	no	—
1752	C₂×C₄	—	2	2	no	—
1753	C₂×C₄	—	2	8	no	—
1754	C₂×C₄	—	4	2	no	—
1755	C₂×C₄	—	4	4	no	—
1756	C₂×C₄	—	4	8	no	—
1757	C₂×C₄	—	4	1	no	—
1758	C₂×C₄	—	5	4	no	—
1759	C₂×C₄	—	5	1	no	—
1760	C₂×C₄	—	5	1	no	—
1761	C₂×C₄	—	5	1	no	—
1762	C₂×C₄	—	5	4	no	—
1763	C₂×C₄	—	5	4	no	—
1764	C₂×C₄	—	5	4	no	—
1765	C₂×C₄	—	5	4	no	—
1766	C₂×C₄	—	5	4	no	—
1767	C₂×C₄	—	5	4	no	—
1768	C₂×C₄	—	5	1	no	—
1769	C₂×C₄	—	5	4	no	—
1770	C₂×C₄	—	5	1	no	—
1771	C₂×C₄	—	5	1	no	—
1772	C₂×C₄	—	5	4	no	—
1773	C₂×C₄	—	5	4	no	—
1774	C₂×C₄	—	10	2	no	—
1775	C₂×C₄	—	10	8	no	—
1776	C₂×C₄	—	10	8	no	—
1777	C₂×C₄	—	10	2	no	—
1778	C₂×C₄	—	10	8	no	—
1779	C₂×C₄	—	10	8	no	—
1780	C₂×C₄	—	10	8	no	—
1781	C₂×C₄	—	10	2	no	—
1782	C₂×C₄	—	10	2	no	—
1783	C₂×C₄	—	10	8	no	—
1784	C₂×C₄	—	10	2	no	—
1785	C₂×C₄	—	10	8	no	—
1786	C₂×C₄	—	10	8	no	—
1787	C₂×C₄	—	10	8	no	—
1788	C₂×C₄	—	10	2	no	—
1789	C₂×C₄	—	10	8	no	—
1790	C₂×C₄	—	20	4	no	—
1791	C₂×C₄	—	20	4	no	—
1792	C₂×C₄	—	20	4	no	—
1793	C₂×C₄	—	20	8	no	—
1794	C₂×C₄	—	20	8	no	—
1795	C₂×C₄	—	20	1	no	—
1796	C₂×C₄	—	20	1	no	—
1797	C₂×C₄	—	20	2	no	—
1798	C₂×C₄	—	20	4	no	—
1799	C₂×C₄	—	20	8	no	—
1800	C₂×C₄	—	20	1	no	—
1801	C₂×C₄	D₅×#41	1	4	yes	complemented
1802	C₂×C₄	C₂⁴×D₅	1	4	yes	—
1803	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1804	C₂×C₄	C₂⁴×D₅	1	4	yes	—
1805	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1806	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1807	C₂×C₄	C₂⁴×D₅	1	4	yes	—
1808	C₂×C₄	C₂⁴×D₅	1	4	yes	—
1809	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1810	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1811	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1812	C₅	C₂×#3506	1	1	yes	characteristic, complemented, Sylow
1813	C₂²	—	2	1	no	—
1814	C₂²	—	2	1	no	—
1815	C₂²	—	2	4	no	—
1816	C₂²	—	2	4	no	—
1817	C₂²	—	2	4	no	—
1818	C₂²	—	2	4	no	—
1819	C₂²	—	2	4	no	—
1820	C₂²	—	2	4	no	—
1821	C₂²	—	4	8	no	—
1822	C₂²	—	5	2	no	—
1823	C₂²	—	5	2	no	—
1824	C₂²	—	5	2	no	—
1825	C₂²	—	5	2	no	—
1826	C₂²	—	10	8	no	—
1827	C₂²	—	10	1	no	—
1828	C₂²	—	10	1	no	—
1829	C₂²	—	10	4	no	—
1830	C₂²	—	10	4	no	—
1831	C₂²	—	10	4	no	—
1832	C₂²	—	10	4	no	—
1833	C₂²	—	10	4	no	—
1834	C₂²	—	10	4	no	—
1835	C₂²	—	20	8	no	—
1836	C₂²	—	20	16	no	—
1837	C₂²	—	20	16	no	—
1838	C₂²	—	20	16	no	—
1839	C₂²	C₂×D₅×#41	1	2	yes	—
1840	C₂²	C₂⁵×D₅	1	1	yes	characteristic
1841	C₄	—	2	4	no	—
1842	C₄	—	2	1	no	—
1843	C₄	—	2	4	no	—
1844	C₄	—	2	4	no	—
1845	C₄	—	2	1	no	—
1846	C₄	—	2	1	no	—
1847	C₄	—	2	4	no	—
1848	C₄	—	5	2	no	—
1849	C₄	—	5	2	no	—
1850	C₄	—	5	2	no	—
1851	C₄	—	10	4	no	—
1852	C₄	—	10	1	no	—
1853	C₄	—	10	4	no	—
1854	C₄	—	10	4	no	—
1855	C₄	—	10	1	no	—
1856	C₄	—	10	1	no	—
1857	C₄	—	10	4	no	—
1858	C₄	C₂×D₅×#41	1	2	yes	—
1859	C₄	C₂×D₅×#41	1	2	yes	—
1860	C₄	D₅×H(5,𝔽₂)	1	2	yes	—
1861	C₂	—	2	2	no	—
1862	C₂	—	4	4	no	—
1863	C₂	—	4	4	no	—
1864	C₂	—	5	4	no	—
1865	C₂	—	10	2	no	—
1866	C₂	—	20	4	no	—
1867	C₂	—	20	4	no	—
1868	C₂	C₂²×D₅×#41	1	1	yes	characteristic
1869	C₂	C₂×D₅×H(5,𝔽₂)	1	1	yes	characteristic
1870	C₂	D₅×#585	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₅
commutator, socle, cosocle	C₂²×C₅	C₂⁶
Fitting	C₅×#3506	C₂
hypercenter	#3506	D₅
hypocenter	C₅	C₂×#3506
LCS	G ▷ C₂²×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ #3506

Complements

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

N	H ≅ G/N	type
1. C₅×#3506	C₂	semidirect
2. #10618964	C₂	semidirect
3. D₅×#559	C₂	semidirect
4. #10618906	C₂	semidirect
5. D₅×#556	C₂	semidirect
6. #10618874	C₂	semidirect
7. D₅×#555	C₂	semidirect
8. #10618814	C₂	semidirect
9. D₅×#553	C₂	semidirect
10. #10618686	C₂	semidirect
11. D₅×#550	C₂	semidirect
12. #10618604	C₂	semidirect
13. D₅×#547	C₂	semidirect
14. D₅×#538	C₂	semidirect
15. #10618292	C₂	semidirect
16. D₅×#535	C₂	semidirect
17. #10618219	C₂	semidirect
18. D₅×#533	C₂	semidirect
19. #10618160	C₂	semidirect
20. D₅×#532	C₂	semidirect
21. #10618124	C₂	semidirect
22. D₅×#525	C₂	semidirect
23. #10617930	C₂	semidirect
24. D₅×#520	C₂	semidirect
25. #10617792	C₂	semidirect
26. #10617689	C₂	semidirect
27. C₂×C₄×D₄×D₅	C₂	semidirect
29. C₂×D₅×#41	C₂²	semidirect
32. C₅×#559	C₂²	semidirect
33. C₅×#556	C₂²	semidirect
34. C₅×#555	C₂²	semidirect
35. C₅×#553	C₂²	semidirect
36. C₅×#550	C₂²	semidirect
37. C₅×#547	C₂²	semidirect
38. C₅×#538	C₂²	semidirect
39. C₅×#535	C₂²	semidirect
40. C₅×#533	C₂²	semidirect
41. C₅×#532	C₂²	semidirect
42. C₅×#525	C₂²	semidirect
43. C₅×#520	C₂²	semidirect
44. C₂×C₄×C₅×D₄	C₂²	semidirect
45. #66168	C₂²	semidirect
46. #66166	C₂²	semidirect
47. #66164	C₂²	semidirect
48. #66162	C₂²	semidirect
49. #66161	C₂²	semidirect
50. #66158	C₂²	semidirect
51. #66139	C₂²	semidirect
52. C₂×D₄×Dic₅	C₂²	semidirect
53. #66125	C₂²	semidirect
54. C₂×C₄×C₂²⋊D₅	C₂²	semidirect
55. #66068	C₂²	semidirect
56. #66066	C₂²	semidirect
57. #66062	C₂²	semidirect
58. #66062	C₂²	semidirect
59. #66060	C₂²	semidirect
60. #66059	C₂²	semidirect
61. D₅×C₄⋊Q₈	C₂²	semidirect
62. D₅×C₄⋊Q₈	C₂²	semidirect
63. D₅×C₄⋊Q₈	C₂²	semidirect
64. #66052	C₂²	semidirect
65. #66052	C₂²	semidirect
66. #66050	C₂²	semidirect
67. #66049	C₂²	semidirect
69. D₅×#127	C₂²	semidirect
70. #66047	C₂²	semidirect
71. #66043	C₂²	semidirect
72. #66038	C₂²	semidirect
73. D₅×#126	C₂²	semidirect
74. #66036	C₂²	semidirect
75. #66029	C₂²	semidirect
76. #66022	C₂²	semidirect
77. D₅×#125	C₂²	semidirect
78. #66015	C₂²	semidirect
79. #66015	C₂²	semidirect
80. #66015	C₂²	semidirect
81. #66012	C₂²	semidirect
82. #66008	C₂²	semidirect
84. D₅×#124	C₂²	semidirect
85. D₅×#124	C₂²	semidirect
86. #66005	C₂²	semidirect
87. #66004	C₂²	semidirect
88. #66002	C₂²	semidirect
89. #65998	C₂²	semidirect
90. #65998	C₂²	semidirect
91. #65995	C₂²	semidirect
92. #65991	C₂²	semidirect
93. #65990	C₂²	semidirect
94. #65989	C₂²	semidirect
95. D₅×#123	C₂²	semidirect
96. D₅×#123	C₂²	semidirect
97. #65978	C₂²	semidirect
98. #65975	C₂²	semidirect
99. #65965	C₂²	semidirect
100. #65961	C₂²	semidirect
101. #65961	C₂²	semidirect
104. D₅×C₂²⋊Q₈	C₂²	semidirect
105. #65956	C₂²	semidirect
106. #65956	C₂²	semidirect
107. #65952	C₂²	semidirect
108. #65951	C₂²	semidirect
109. #65950	C₂²	semidirect
110. #65950	C₂²	semidirect
111. #65948	C₂²	semidirect
112. #65947	C₂²	semidirect
113. #65945	C₂²	semidirect
114. #65941	C₂²	semidirect
115. #65941	C₂²	semidirect
116. #65940	C₂²	semidirect
117. #65940	C₂²	semidirect
122. D₅×#121	C₂²	semidirect
123. D₅×#121	C₂²	semidirect
124. #65935	C₂²	semidirect
125. #65933	C₂²	semidirect
126. #65933	C₂²	semidirect
127. #65930	C₂²	semidirect
128. #65930	C₂²	semidirect
129. #65927	C₂²	semidirect
130. #65926	C₂²	semidirect
132. #65920	C₂²	semidirect
133. #65919	C₂²	semidirect
134. #65919	C₂²	semidirect
135. #65918	C₂²	semidirect
136. #65912	C₂²	semidirect
137. #65912	C₂²	semidirect
138. #65911	C₂²	semidirect
139. #65908	C₂²	semidirect
140. C₄×Q₈×D₅	C₂²	semidirect
141. C₄×Q₈×D₅	C₂²	semidirect
142. C₄×Q₈×D₅	C₂²	semidirect
143. #65902	C₂²	semidirect
144. #65899	C₂²	semidirect
145. #65897	C₂²	semidirect
146. #65897	C₂²	semidirect
147. #65894	C₂²	semidirect
148. #65893	C₂²	semidirect
149. #65893	C₂²	semidirect
150. #65893	C₂²	semidirect
151. #65892	C₂²	semidirect
152. #65889	C₂²	semidirect
153. #65887	C₂²	semidirect
154. #65887	C₂²	semidirect
155. #65885	C₂²	semidirect
156. #65882	C₂²	semidirect
157. #65882	C₂²	semidirect
158. #65881	C₂²	semidirect
159. #65881	C₂²	semidirect
160. #65880	C₂²	semidirect
161. #65880	C₂²	semidirect
167. C₄×D₄×D₅	C₂²	semidirect
168. C₄×D₄×D₅	C₂²	semidirect
169. C₄×D₄×D₅	C₂²	semidirect
170. C₄×D₄×D₅	C₂²	semidirect
171. C₄×D₄×D₅	C₂²	semidirect
172. C₄×D₄×D₅	C₂²	semidirect
173. C₄×D₄×D₅	C₂²	semidirect
174. C₄×D₄×D₅	C₂²	semidirect
175. #65876	C₂²	semidirect
176. #65874	C₂²	semidirect
177. #65867	C₂²	semidirect
178. #65866	C₂²	semidirect
179. #65866	C₂²	semidirect
180. #65864	C₂²	semidirect
181. #65859	C₂²	semidirect
182. #65858	C₂²	semidirect
183. #65857	C₂²	semidirect
184. #65857	C₂²	semidirect
186. D₅×#117	C₂²	semidirect
187. D₅×#117	C₂²	semidirect
188. #65851	C₂²	semidirect
189. #65848	C₂²	semidirect
190. #65841	C₂²	semidirect
191. #65838	C₂²	semidirect
192. #65838	C₂²	semidirect
193. C₂×#4039	C₂²	semidirect
195. C₂×D₅×C₄⋊C₄	C₂²	semidirect
196. #65828	C₂²	semidirect
197. C₂×#4027	C₂²	semidirect
199. #65811	C₂²	semidirect
200. C₂×C₄×D₂₀	C₂²	semidirect
202. #65804	C₂²	semidirect
206. C₂×C₅×#41	C₂³	semidirect
214. C₂×#713	C₂³	semidirect
220. C₂×#711	C₂³	semidirect
221. C₂×#711	C₂³	semidirect
235. C₂×#709	C₂³	semidirect
236. C₂×#709	C₂³	semidirect
251. C₅×C₄⋊Q₈	C₂³	semidirect
252. C₅×C₄⋊Q₈	C₂³	semidirect
253. C₅×C₄⋊Q₈	C₂³	semidirect
255. C₅×#127	C₂³	semidirect
256. C₅×#126	C₂³	semidirect
257. C₅×#125	C₂³	semidirect
259. C₅×#124	C₂³	semidirect
260. C₅×#124	C₂³	semidirect
261. C₅×#123	C₂³	semidirect
262. C₅×#123	C₂³	semidirect
265. C₅×C₂²⋊Q₈	C₂³	semidirect
270. C₅×#121	C₂³	semidirect
271. C₅×#121	C₂³	semidirect
273. C₄×C₅×Q₈	C₂³	semidirect
274. C₄×C₅×Q₈	C₂³	semidirect
275. C₄×C₅×Q₈	C₂³	semidirect
281. C₄×C₅×D₄	C₂³	semidirect
282. C₄×C₅×D₄	C₂³	semidirect
283. C₄×C₅×D₄	C₂³	semidirect
284. C₄×C₅×D₄	C₂³	semidirect
286. C₅×#117	C₂³	semidirect
287. C₅×#117	C₂³	semidirect
289. C₂×C₅×C₄⋊C₄	C₂³	semidirect
295. #4093	C₂³	semidirect
296. #4093	C₂³	semidirect
299. #4092	C₂³	semidirect
300. Q₈×Dic₅	C₂³	semidirect
301. Q₈×Dic₅	C₂³	semidirect
302. Q₈×Dic₅	C₂³	semidirect
303. #4090	C₂³	semidirect
304. #4090	C₂³	semidirect
305. #4090	C₂³	semidirect
310. #4086	C₂³	semidirect
311. #4086	C₂³	semidirect
312. #4086	C₂³	semidirect
317. #4085	C₂³	semidirect
318. #4085	C₂³	semidirect
319. #4085	C₂³	semidirect
324. #4084	C₂³	semidirect
325. #4084	C₂³	semidirect
330. #4082	C₂³	semidirect
331. #4082	C₂³	semidirect
332. #4081	C₂³	semidirect
333. #4081	C₂³	semidirect
339. D₄×Dic₅	C₂³	semidirect
340. D₄×Dic₅	C₂³	semidirect
341. D₄×Dic₅	C₂³	semidirect
342. D₄×Dic₅	C₂³	semidirect
347. #4076	C₂³	semidirect
348. #4076	C₂³	semidirect
349. #4075	C₂³	semidirect
350. #4075	C₂³	semidirect
357. C₄×C₂²⋊D₅	C₂³	semidirect
358. C₄×C₂²⋊D₅	C₂³	semidirect
359. C₄×C₂²⋊D₅	C₂³	semidirect
360. C₄×C₂²⋊D₅	C₂³	semidirect
361. C₄×C₂²⋊D₅	C₂³	semidirect
365. #4072	C₂³	semidirect
366. #4072	C₂³	semidirect
368. C₂×C₄⋊Dic₅	C₂³	semidirect
371. #4070	C₂³	semidirect
373. C₂×#683	C₂³	semidirect
377. #4044	C₂³	semidirect
378. #4044	C₂³	semidirect
379. #4044	C₂³	semidirect
382. #4043	C₂³	semidirect
385. #4042	C₂³	semidirect
390. #4041	C₂³	semidirect
391. #4041	C₂³	semidirect
392. #4040	C₂³	semidirect
393. #4040	C₂³	semidirect
394. #4040	C₂³	semidirect
395. #4040	C₂³	semidirect
401. #4039	C₂³	semidirect
402. #4039	C₂³	semidirect
403. #4039	C₂³	semidirect
404. #4039	C₂³	semidirect
407. #4038	C₂³	semidirect
408. #4038	C₂³	semidirect
409. #4038	C₂³	semidirect
410. #4038	C₂³	semidirect
424. D₅×C₄⋊C₄	C₂³	semidirect
425. D₅×C₄⋊C₄	C₂³	semidirect
426. D₅×C₄⋊C₄	C₂³	semidirect
427. #4036	C₂³	semidirect
428. #4036	C₂³	semidirect
429. #4035	C₂³	semidirect
430. #4035	C₂³	semidirect
431. #4034	C₂³	semidirect
432. #4034	C₂³	semidirect
433. #4034	C₂³	semidirect
434. #4034	C₂³	semidirect
435. #4034	C₂³	semidirect
436. #4034	C₂³	semidirect
437. #4033	C₂³	semidirect
438. #4033	C₂³	semidirect
439. #4033	C₂³	semidirect
440. #4033	C₂³	semidirect
441. #4033	C₂³	semidirect
442. #4033	C₂³	semidirect
443. #4032	C₂³	semidirect
444. #4032	C₂³	semidirect
447. #4031	C₂³	semidirect
448. #4031	C₂³	semidirect
449. #4031	C₂³	semidirect
450. #4031	C₂³	semidirect
451. #4031	C₂³	semidirect
452. #4031	C₂³	semidirect
457. #4030	C₂³	semidirect
458. #4030	C₂³	semidirect
459. #4030	C₂³	semidirect
460. #4029	C₂³	semidirect
461. #4029	C₂³	semidirect
462. #4029	C₂³	semidirect
463. #4029	C₂³	semidirect
473. #4027	C₂³	semidirect
474. #4027	C₂³	semidirect
475. #4027	C₂³	semidirect
476. #4027	C₂³	semidirect
477. #4027	C₂³	semidirect
488. #4025	C₂³	semidirect
489. #4025	C₂³	semidirect
490. #4025	C₂³	semidirect
493. #4024	C₂³	semidirect
495. #4023	C₂³	semidirect
496. #4023	C₂³	semidirect
497. #4022	C₂³	semidirect
499. #4021	C₂³	semidirect
500. #4021	C₂³	semidirect
502. #4020	C₂³	semidirect
508. C₄×D₂₀	C₂³	semidirect
509. C₄×D₂₀	C₂³	semidirect
510. C₄×D₂₀	C₂³	semidirect
511. C₄×D₂₀	C₂³	semidirect
513. #4018	C₂³	semidirect
514. #4018	C₂³	semidirect
525. #4016	C₂³	semidirect
526. #4015	C₂³	semidirect
527. #4015	C₂³	semidirect
528. #4015	C₂³	semidirect
529. C₄×Dic₁₀	C₂³	semidirect
530. C₄×Dic₁₀	C₂³	semidirect
531. C₄×Dic₁₀	C₂³	semidirect
532. C₄×Dic₁₀	C₂³	semidirect
533. C₄×Dic₁₀	C₂³	semidirect
534. C₄×Dic₁₀	C₂³	semidirect
548. #3506	D₅	direct (N × H)
658. C₂×C₄×D₅	#41	semidirect
797. #559	C₂×D₅	semidirect
806. #556	C₂×D₅	semidirect
815. #555	C₂×D₅	semidirect
827. #553	C₂×D₅	semidirect
836. #550	C₂×D₅	semidirect
845. #547	C₂×D₅	semidirect
855. #538	C₂×D₅	semidirect
864. #535	C₂×D₅	semidirect
874. #533	C₂×D₅	semidirect
884. #532	C₂×D₅	semidirect
906. #525	C₂×D₅	semidirect
927. #520	C₂×D₅	semidirect
949. C₂×C₄×D₄	C₂×D₅	semidirect
1001. C₂×C₄×C₅	C₂×#41	semidirect
1030. C₂×Dic₅	C₂×#41	semidirect
1071. C₄×D₅	C₂×#41	semidirect
1072. C₄×D₅	C₂×#41	semidirect
1094. C₂×#41	C₂²×D₅	semidirect
1139. C₄⋊Q₈	C₂²×D₅	semidirect
1140. C₄⋊Q₈	C₂²×D₅	semidirect
1141. C₄⋊Q₈	C₂²×D₅	semidirect
1152. #127	C₂²×D₅	semidirect
1160. #126	C₂²×D₅	semidirect
1166. #125	C₂²×D₅	semidirect
1185. #124	C₂²×D₅	semidirect
1186. #124	C₂²×D₅	semidirect
1201. #123	C₂²×D₅	semidirect
1202. #123	C₂²×D₅	semidirect
1220. C₂²⋊Q₈	C₂²×D₅	semidirect
1257. #121	C₂²×D₅	semidirect
1258. #121	C₂²×D₅	semidirect
1282. C₄×Q₈	C₂²×D₅	semidirect
1283. C₄×Q₈	C₂²×D₅	semidirect
1284. C₄×Q₈	C₂²×D₅	semidirect
1339. C₄×D₄	C₂²×D₅	semidirect
1340. C₄×D₄	C₂²×D₅	semidirect
1341. C₄×D₄	C₂²×D₅	semidirect
1342. C₄×D₄	C₂²×D₅	semidirect
1359. #117	C₂²×D₅	semidirect
1360. #117	C₂²×D₅	semidirect
1382. C₂×C₄⋊C₄	C₂²×D₅	semidirect
1688. D₅	#3506	direct (N × H)
1801. C₂×C₄	D₅×#41	semidirect
1812. C₅	C₂×#3506	semidirect

Maximal subgroups

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

subgroup	index
C₅×#3506	2
#10618964	2
D₅×#559	2
#10618906	2
D₅×#556	2
#10618874	2
D₅×#555	2
#10618814	2
D₅×#553	2
#10618686	2
D₅×#550	2
#10618604	2
D₅×#547	2
D₅×#538	2
#10618292	2
D₅×#535	2
#10618219	2
D₅×#533	2
#10618160	2
D₅×#532	2
#10618124	2
D₅×#525	2
#10617930	2
D₅×#520	2
#10617792	2
#10617689	2
C₂×C₄×D₄×D₅	2
C₂×#3506	5

Subgroups — D5×#3506 #13007243

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₅×#3506 #13007243