Subgroups — #13007956

Order 1280.

7382 conjugacy classes of subgroups.

The subgroup lattice has 1386 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₅×#525	C₂	1	1	yes	maximal, characteristic, complemented
2	#10619174	C₂	1	2	yes	maximal, complemented
3	C₂×#66125	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂²×#4075	C₂	1	1	yes	maximal, characteristic, complemented
5	#10617951	C₂	1	4	yes	maximal, complemented
6	#10617950	C₂	1	8	yes	maximal, complemented
7	#10617946	C₂	1	8	yes	maximal, complemented
8	#10617944	C₂	1	4	yes	maximal, complemented
9	#10617931	C₂	1	4	yes	maximal, complemented
10	#10617926	C₂	1	4	yes	maximal, complemented
11	#10617913	C₂	1	2	yes	maximal, complemented
12	#10617902	C₂	1	2	yes	maximal, complemented
13	#10617890	C₂	1	4	yes	maximal, complemented
14	#10617855	C₂	1	4	yes	maximal, complemented
15	#10617820	C₂	1	2	yes	maximal, complemented
16	#10617814	C₂	1	2	yes	maximal, complemented
17	#10617690	C₂	1	8	yes	maximal, complemented
18	#10617646	C₂	1	2	yes	maximal, complemented
19	C₂²×C₅×#41	C₂²	1	1	yes	characteristic, complemented
20	C₂⁴×C₄×C₅	C₂²	1	1	yes	characteristic, complemented
21	C₂³×C₂²⋊D₅	C₂²	1	1	yes	characteristic
22	C₂×#4144	C₂²	1	2	yes	complemented
23	C₂²×#709	C₂²	1	1	yes	characteristic, complemented
24	C₅×#525	C₂²	1	4	yes	complemented
25	C₅×#525	C₂²	1	4	yes	complemented
26	C₅×#525	C₂²	1	4	yes	complemented
27	C₅×#525	C₂²	1	4	yes	complemented
28	C₂×C₅×#123	C₂²	1	2	yes	complemented
29	C₂×C₅×C₂²⋊Q₈	C₂²	1	2	yes	complemented
30	C₂×C₅×#121	C₂²	1	2	yes	complemented
31	C₂×C₅×#120	C₂²	1	2	yes	complemented
32	C₂×C₄×C₅×D₄	C₂²	1	4	yes	complemented
33	C₂×C₅×#117	C₂²	1	1	yes	characteristic, complemented
34	C₂×#4099	C₂²	1	2	yes	complemented
35	C₂²×C₂²⋊Dic₅	C₂²	1	1	yes	characteristic, complemented
36	#66163	C₂²	1	8	yes	complemented
37	#66163	C₂²	1	8	yes	complemented
38	#66158	C₂²	1	8	yes	complemented
39	#66158	C₂²	1	8	yes	complemented
40	#66150	C₂²	1	4	yes	complemented
41	#66140	C₂²	1	8	yes	complemented
42	#66138	C₂²	1	2	yes	—
43	#66138	C₂²	1	2	yes	complemented
44	#66138	C₂²	1	4	yes	complemented
45	D₄×C₂²⋊D₅	C₂²	1	8	yes	complemented
46	#66132	C₂²	1	2	yes	complemented
47	#66125	C₂²	1	4	yes	complemented
48	#66125	C₂²	1	4	yes	complemented
49	#66125	C₂²	1	4	yes	complemented
50	#66125	C₂²	1	4	yes	complemented
51	#66125	C₂²	1	4	yes	complemented
52	C₂×#4076	C₂²	1	2	yes	complemented
53	C₂×#4075	C₂²	1	4	yes	complemented
54	C₂×#4075	C₂²	1	2	yes	complemented
55	C₂×#4075	C₂²	1	2	yes	complemented
56	C₂×#4075	C₂²	1	4	yes	complemented
57	C₂×#4075	C₂²	1	4	yes	complemented
58	C₂×#4075	C₂²	1	4	yes	complemented
59	C₂×#4075	C₂²	1	4	yes	complemented
60	C₂×#4075	C₂²	1	2	yes	complemented
61	C₂×#4075	C₂²	1	4	yes	complemented
62	C₂×C₄×C₂²⋊D₅	C₂²	1	4	yes	complemented
63	C₂²×#685	C₂²	1	2	yes	complemented
64	C₂×#4072	C₂²	1	1	yes	characteristic, complemented
65	C₂×#4070	C₂²	1	2	yes	complemented
66	C₂²×#683	C₂²	1	2	yes	complemented
67	#65999	C₂²	1	8	yes	complemented
68	#65992	C₂²	1	8	yes	complemented
69	#65990	C₂²	1	4	yes	complemented
70	#65989	C₂²	1	8	yes	complemented
71	#65988	C₂²	1	8	yes	complemented
72	#65987	C₂²	1	4	yes	complemented
73	D₅×#123	C₂²	1	4	yes	complemented
74	#65984	C₂²	1	8	yes	complemented
75	#65983	C₂²	1	8	yes	complemented
76	#65982	C₂²	1	4	yes	complemented
77	#65981	C₂²	1	8	yes	complemented
78	#65980	C₂²	1	8	yes	complemented
79	#65979	C₂²	1	4	yes	complemented
80	#65978	C₂²	1	4	yes	complemented
81	#65974	C₂²	1	8	yes	complemented
82	#65972	C₂²	1	8	yes	complemented
83	#65971	C₂²	1	8	yes	complemented
84	#65970	C₂²	1	8	yes	complemented
85	#65968	C₂²	1	4	yes	complemented
86	#65957	C₂²	1	4	yes	complemented
87	#65955	C₂²	1	8	yes	complemented
88	#65954	C₂²	1	8	yes	complemented
89	#65951	C₂²	1	4	yes	complemented
90	#65949	C₂²	1	8	yes	complemented
91	#65947	C₂²	1	8	yes	complemented
92	#65944	C₂²	1	8	yes	complemented
93	#65939	C₂²	1	4	yes	complemented
94	#65936	C₂²	1	4	yes	complemented
95	#65935	C₂²	1	8	yes	complemented
96	#65931	C₂²	1	4	yes	complemented
97	#65927	C₂²	1	8	yes	complemented
98	#65926	C₂²	1	4	yes	complemented
99	#65925	C₂²	1	8	yes	complemented
100	#65925	C₂²	1	8	yes	complemented
101	#65924	C₂²	1	8	yes	complemented
102	#65923	C₂²	1	4	yes	complemented
103	D₅×#120	C₂²	1	4	yes	complemented
104	#65921	C₂²	1	8	yes	complemented
105	#65920	C₂²	1	4	yes	complemented
106	#65920	C₂²	1	8	yes	complemented
107	#65898	C₂²	1	8	yes	complemented
108	#65898	C₂²	1	8	yes	complemented
109	#65896	C₂²	1	8	yes	complemented
110	#65895	C₂²	1	8	yes	complemented
111	#65894	C₂²	1	8	yes	complemented
112	#65894	C₂²	1	8	yes	complemented
113	#65893	C₂²	1	8	yes	complemented
114	#65892	C₂²	1	8	yes	complemented
115	#65890	C₂²	1	8	yes	complemented
116	#65890	C₂²	1	8	yes	complemented
117	#65888	C₂²	1	8	yes	complemented
118	#65880	C₂²	1	8	yes	complemented
119	#65879	C₂²	1	8	yes	complemented
120	#65874	C₂²	1	8	yes	complemented
121	#65874	C₂²	1	8	yes	complemented
122	#65873	C₂²	1	8	yes	complemented
123	#65865	C₂²	1	8	yes	complemented
124	#65865	C₂²	1	8	yes	complemented
125	#65861	C₂²	1	8	yes	complemented
126	#65861	C₂²	1	8	yes	complemented
127	#65849	C₂²	1	8	yes	complemented
128	#65847	C₂²	1	8	yes	complemented
129	#65841	C₂²	1	8	yes	complemented
130	#65829	C₂²	1	8	yes	complemented
131	#65829	C₂²	1	8	yes	complemented
132	#65827	C₂²	1	2	yes	—
133	#65824	C₂²	1	8	yes	complemented
134	#65824	C₂²	1	8	yes	complemented
135	#65820	C₂²	1	2	yes	complemented
136	#65820	C₂²	1	2	yes	complemented
137	#65817	C₂²	1	2	yes	complemented
138	#65813	C₂²	1	8	yes	complemented
139	#62820	—	5	1	no	maximal, Sylow
140	C₂⁵×C₅	C₂³	1	1	yes	characteristic
141	C₂⁴×D₅	C₂³	1	1	yes	characteristic
142	C₂×C₅×#41	—	4	4	no	—
143	C₂×C₅×#41	C₂³	1	4	yes	—
144	C₂×C₅×#41	C₂³	1	4	yes	complemented
145	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic, complemented
146	C₂²×C₅×D₄	C₂³	1	2	yes	—
147	C₂²×C₅×D₄	C₂³	1	4	yes	—
148	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic, complemented
149	C₂³×C₄×C₅	—	4	4	no	—
150	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
151	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
152	C₂³×C₄×C₅	C₂³	1	2	yes	—
153	C₂³×C₄×C₅	C₂³	1	2	yes	—
154	C₂³×C₄×C₅	C₂³	1	2	yes	—
155	C₂³×C₄×C₅	C₂³	1	2	yes	—
156	C₂³×C₄×C₅	C₂³	1	2	yes	—
157	C₂³×C₄×C₅	C₂³	1	2	yes	—
158	C₂³×C₄×C₅	C₂³	1	2	yes	complemented
159	C₂²×C₂²⋊D₅	—	4	4	no	—
160	C₂²×C₂²⋊D₅	C₂³	1	2	yes	—
161	C₂²×C₂²⋊D₅	C₂³	1	2	yes	—
162	C₂²×C₂²⋊D₅	C₂³	1	4	yes	—
163	C₂²×C₂²⋊D₅	C₂³	1	4	yes	—
164	C₂²×C₂²⋊D₅	C₂³	1	4	yes	—
165	C₂²×C₂²⋊D₅	C₂³	1	2	yes	—
166	C₂²×C₂²⋊D₅	C₂³	1	4	yes	—
167	C₂³×Dic₅	C₂³	1	1	yes	characteristic
168	C₂³×Dic₅	C₂³	1	2	yes	—
169	#4144	—	4	8	no	—
170	C₂×#711	C₂³	1	8	yes	—
171	C₂×#711	C₂³	1	4	yes	—
172	C₂×#711	C₂³	1	4	yes	—
173	C₂×D₄×D₅	C₂³	1	8	yes	—
174	C₂×D₄×D₅	C₂³	1	4	yes	—
175	C₂×D₄×D₅	C₂³	1	4	yes	—
176	C₂×#709	—	4	4	no	—
177	C₂×#709	C₂³	1	4	yes	—
178	C₂×#709	C₂³	1	4	yes	—
179	C₂×#709	C₂³	1	4	yes	complemented
180	C₂²×D₂₀	C₂³	1	1	yes	characteristic, complemented
181	C₂²×C₄×D₅	C₂³	1	2	yes	complemented
182	C₂²×Dic₁₀	C₂³	1	1	yes	characteristic, complemented
183	C₅×#123	C₂³	1	8	yes	—
184	C₅×#123	C₂³	1	4	yes	complemented
185	C₅×#123	C₂³	1	4	yes	complemented
186	C₅×C₂²⋊Q₈	C₂³	1	4	yes	—
187	C₅×C₂²⋊Q₈	C₂³	1	4	yes	—
188	C₅×C₂²⋊Q₈	C₂³	1	4	yes	complemented
189	C₅×C₂²⋊Q₈	C₂³	1	4	yes	complemented
190	C₅×#121	C₂³	1	4	yes	—
191	C₅×#121	C₂³	1	4	yes	—
192	C₅×#121	C₂³	1	4	yes	complemented
193	C₅×#121	C₂³	1	4	yes	complemented
194	C₅×#120	C₂³	1	4	yes	—
195	C₅×#120	C₂³	1	8	yes	—
196	C₅×#120	C₂³	1	4	yes	—
197	C₄×C₅×D₄	C₂³	1	8	yes	—
198	C₄×C₅×D₄	C₂³	1	8	yes	—
199	C₄×C₅×D₄	C₂³	1	8	yes	complemented
200	C₄×C₅×D₄	C₂³	1	8	yes	complemented
201	C₅×#117	C₂³	1	4	yes	—
202	C₅×#117	C₂³	1	4	yes	complemented
203	C₂×C₅×C₄⋊C₄	C₂³	1	4	yes	complemented
204	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	complemented
205	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
206	C₂×C₅×C₂²⋊C₄	C₂³	1	4	yes	—
207	C₂×C₅×C₂²⋊C₄	C₂³	1	4	yes	complemented
208	C₂×C₄²×C₅	C₂³	1	2	yes	complemented
209	#4099	C₂³	1	8	yes	—
210	#4099	C₂³	1	4	yes	—
211	#4099	C₂³	1	4	yes	—
212	#4099	C₂³	1	4	yes	—
213	#4099	C₂³	1	4	yes	complemented
214	C₂×C₂²⋊Dic₅	C₂³	1	2	yes	—
215	C₂×C₂²⋊Dic₅	C₂³	1	2	yes	—
216	C₂×C₂²⋊Dic₅	C₂³	1	4	yes	—
217	C₂×C₂²⋊Dic₅	C₂³	1	4	yes	—
218	C₂×C₂²⋊Dic₅	C₂³	1	4	yes	—
219	C₂×C₂²⋊Dic₅	C₂³	1	2	yes	—
220	C₂×C₂²⋊Dic₅	C₂³	1	4	yes	complemented
221	#4093	C₂³	1	8	yes	complemented
222	#4092	C₂³	1	8	yes	complemented
223	#4092	C₂³	1	8	yes	complemented
224	#4090	C₂³	1	8	yes	complemented
225	#4086	C₂³	1	8	yes	—
226	#4085	C₂³	1	8	yes	—
227	#4085	C₂³	1	8	yes	—
228	#4085	C₂³	1	8	yes	—
229	#4085	C₂³	1	8	yes	—
230	#4085	C₂³	1	8	yes	—
231	#4085	C₂³	1	8	yes	complemented
232	#4085	C₂³	1	8	yes	complemented
233	#4085	C₂³	1	8	yes	complemented
234	#4084	C₂³	1	8	yes	—
235	#4084	C₂³	1	8	yes	complemented
236	#4083	C₂³	1	8	yes	—
237	#4083	C₂³	1	8	yes	—
238	#4083	C₂³	1	4	yes	—
239	#4083	C₂³	1	4	yes	complemented
240	#4083	C₂³	1	8	yes	complemented
241	#4082	C₂³	1	8	yes	complemented
242	#4081	C₂³	1	4	yes	—
243	#4081	C₂³	1	8	yes	—
244	#4081	C₂³	1	4	yes	complemented
245	#4081	C₂³	1	8	yes	complemented
246	#4081	C₂³	1	8	yes	complemented
247	D₄×Dic₅	C₂³	1	8	yes	—
248	D₄×Dic₅	C₂³	1	8	yes	—
249	D₄×Dic₅	C₂³	1	8	yes	—
250	D₄×Dic₅	C₂³	1	8	yes	complemented
251	#4076	C₂³	1	8	yes	—
252	#4076	C₂³	1	4	yes	—
253	#4076	C₂³	1	4	yes	—
254	#4076	C₂³	1	4	yes	complemented
255	#4076	C₂³	1	4	yes	complemented
256	#4076	C₂³	1	8	yes	complemented
257	#4075	C₂³	1	4	yes	—
258	#4075	C₂³	1	4	yes	—
259	#4075	C₂³	1	8	yes	—
260	#4075	C₂³	1	4	yes	—
261	#4075	C₂³	1	8	yes	—
262	#4075	C₂³	1	8	yes	—
263	#4075	C₂³	1	8	yes	—
264	#4075	C₂³	1	8	yes	—
265	#4075	C₂³	1	8	yes	—
266	#4075	C₂³	1	8	yes	—
267	#4075	C₂³	1	4	yes	—
268	#4075	C₂³	1	4	yes	—
269	#4075	C₂³	1	4	yes	complemented
270	#4075	C₂³	1	4	yes	complemented
271	#4075	C₂³	1	4	yes	complemented
272	#4075	C₂³	1	8	yes	complemented
273	#4075	C₂³	1	8	yes	complemented
274	C₄×C₂²⋊D₅	C₂³	1	8	yes	—
275	C₄×C₂²⋊D₅	C₂³	1	8	yes	—
276	C₄×C₂²⋊D₅	C₂³	1	8	yes	—
277	C₄×C₂²⋊D₅	C₂³	1	8	yes	complemented
278	C₄×C₂²⋊D₅	C₂³	1	8	yes	complemented
279	C₄×C₂²⋊D₅	C₂³	1	8	yes	complemented
280	C₄×C₂²⋊D₅	C₂³	1	8	yes	complemented
281	C₄×C₂²⋊D₅	C₂³	1	8	yes	complemented
282	C₂×#685	C₂³	1	4	yes	—
283	C₂×#685	C₂³	1	4	yes	—
284	C₂×#685	C₂³	1	4	yes	—
285	C₂×#685	C₂³	1	4	yes	—
286	C₂×#685	C₂³	1	4	yes	—
287	C₂×#685	C₂³	1	4	yes	—
288	C₂×#685	C₂³	1	4	yes	complemented
289	C₂×#685	C₂³	1	8	yes	complemented
290	#4072	C₂³	1	4	yes	—
291	#4072	C₂³	1	4	yes	complemented
292	#4072	C₂³	1	4	yes	complemented
293	C₂×C₄⋊Dic₅	C₂³	1	2	yes	complemented
294	#4070	C₂³	1	4	yes	—
295	#4070	C₂³	1	4	yes	—
296	#4070	C₂³	1	8	yes	complemented
297	#4070	C₂³	1	4	yes	complemented
298	#4070	C₂³	1	4	yes	complemented
299	#4070	C₂³	1	8	yes	complemented
300	C₂×#683	C₂³	1	4	yes	—
301	C₂×#683	C₂³	1	4	yes	—
302	C₂×#683	C₂³	1	4	yes	—
303	C₂×#683	C₂³	1	4	yes	—
304	C₂×#683	C₂³	1	4	yes	—
305	C₂×#683	C₂³	1	4	yes	—
306	C₂×#683	C₂³	1	4	yes	complemented
307	C₂×#683	C₂³	1	8	yes	complemented
308	C₂×C₄×Dic₅	C₂³	1	2	yes	complemented
309	#4044	C₂³	1	8	yes	complemented
310	#4044	C₂³	1	8	yes	complemented
311	#4044	C₂³	1	8	yes	complemented
312	#4044	C₂³	1	8	yes	complemented
313	#4043	C₂³	1	8	yes	complemented
314	#4042	C₂³	1	8	yes	complemented
315	#4042	C₂³	1	8	yes	complemented
316	#4042	C₂³	1	8	yes	complemented
317	#4042	C₂³	1	8	yes	complemented
318	#4041	C₂³	1	8	yes	complemented
319	#4040	C₂³	1	8	yes	complemented
320	#4040	C₂³	1	8	yes	complemented
321	#4040	C₂³	1	8	yes	complemented
322	#4040	C₂³	1	8	yes	complemented
323	#4039	C₂³	1	8	yes	complemented
324	#4038	C₂³	1	8	yes	complemented
325	D₅×C₄⋊C₄	C₂³	1	8	yes	complemented
326	#4036	C₂³	1	8	yes	complemented
327	#4035	C₂³	1	8	yes	complemented
328	#4035	C₂³	1	8	yes	complemented
329	#4035	C₂³	1	8	yes	complemented
330	#4035	C₂³	1	8	yes	complemented
331	#4034	C₂³	1	8	yes	complemented
332	#4033	C₂³	1	8	yes	complemented
333	#4032	C₂³	1	4	yes	—
334	#4032	C₂³	1	4	yes	—
335	#4032	C₂³	1	8	yes	—
336	#4032	C₂³	1	8	yes	complemented
337	#4031	C₂³	1	8	yes	—
338	#4031	C₂³	1	8	yes	complemented
339	#4031	C₂³	1	8	yes	complemented
340	#4031	C₂³	1	8	yes	complemented
341	#4030	C₂³	1	8	yes	—
342	#4030	C₂³	1	8	yes	—
343	#4030	C₂³	1	8	yes	complemented
344	#4030	C₂³	1	8	yes	complemented
345	#4029	C₂³	1	8	yes	—
346	#4029	C₂³	1	8	yes	complemented
347	#4029	C₂³	1	8	yes	complemented
348	#4029	C₂³	1	8	yes	complemented
349	#4028	C₂³	1	8	yes	—
350	#4028	C₂³	1	4	yes	—
351	#4028	C₂³	1	4	yes	—
352	#4028	C₂³	1	8	yes	complemented
353	#4027	C₂³	1	8	yes	—
354	#4027	C₂³	1	8	yes	—
355	#4027	C₂³	1	8	yes	—
356	#4027	C₂³	1	8	yes	—
357	#4027	C₂³	1	8	yes	complemented
358	#4027	C₂³	1	8	yes	complemented
359	D₅×C₂²⋊C₄	C₂³	1	4	yes	—
360	D₅×C₂²⋊C₄	C₂³	1	8	yes	—
361	D₅×C₂²⋊C₄	C₂³	1	4	yes	complemented
362	D₅×C₂²⋊C₄	C₂³	1	8	yes	complemented
363	#4025	C₂³	1	8	yes	complemented
364	#4025	C₂³	1	8	yes	complemented
365	#4025	C₂³	1	8	yes	complemented
366	#4025	C₂³	1	8	yes	complemented
367	#4024	C₂³	1	8	yes	—
368	#4024	C₂³	1	8	yes	—
369	#4024	C₂³	1	8	yes	—
370	#4024	C₂³	1	8	yes	complemented
371	#4024	C₂³	1	8	yes	complemented
372	#4024	C₂³	1	8	yes	complemented
373	#4023	C₂³	1	4	yes	—
374	#4023	C₂³	1	8	yes	—
375	#4023	C₂³	1	4	yes	complemented
376	#4023	C₂³	1	8	yes	complemented
377	#4022	C₂³	1	8	yes	complemented
378	#4022	C₂³	1	8	yes	complemented
379	#4021	C₂³	1	8	yes	complemented
380	C₄×D₂₀	C₂³	1	8	yes	complemented
381	#4018	C₂³	1	8	yes	complemented
382	#4018	C₂³	1	8	yes	complemented
383	#4016	C₂³	1	8	yes	complemented
384	C₄×Dic₁₀	C₂³	1	8	yes	complemented
385	#3535	—	5	4	no	—
386	#3535	—	5	4	no	—
387	#3534	—	5	4	no	—
388	#3534	—	5	4	no	—
389	#3533	—	5	8	no	—
390	#3513	—	5	8	no	—
391	#3513	—	5	8	no	—
392	#3492	—	5	4	no	—
393	#3491	—	5	2	no	—
394	#3491	—	5	2	no	—
395	#3490	—	5	4	no	—
396	#3490	—	5	2	no	—
397	#3485	—	5	2	no	—
398	#3485	—	5	2	no	—
399	#3484	—	5	2	no	—
400	C₂×#525	—	5	1	no	—
401	C₂×#525	D₅	1	1	yes	characteristic, complemented
402	C₂²×#123	—	5	1	no	—
403	C₂⁴×C₅	—	2	4	no	—
404	C₂⁴×C₅	—	4	4	no	—
405	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
406	C₂⁴×C₅	C₂⁴	1	2	yes	—
407	C₂⁴×C₅	C₂⁴	1	2	yes	—
408	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
409	C₂⁴×C₅	C₂⁴	1	2	yes	—
410	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
411	C₂³×D₅	—	4	2	no	—
412	C₂³×D₅	—	4	4	no	—
413	C₂³×D₅	C₂⁴	1	2	yes	—
414	C₂³×D₅	C₂⁴	1	2	yes	—
415	C₂³×D₅	C₂⁴	1	4	yes	—
416	C₂³×D₅	C₂⁴	1	4	yes	—
417	C₅×#41	—	4	8	no	—
418	C₅×#41	—	4	8	no	—
419	C₂×C₅×Q₈	—	4	2	no	—
420	C₂×C₅×Q₈	C₂⁴	1	4	yes	—
421	C₂×C₅×D₄	—	2	8	no	—
422	C₂×C₅×D₄	—	4	2	no	—
423	C₂×C₅×D₄	—	4	8	no	—
424	C₂×C₅×D₄	C₂⁴	1	8	yes	—
425	C₂×C₅×D₄	C₂⁴	1	4	yes	—
426	C₂×C₅×D₄	C₂⁴	1	4	yes	—
427	C₂×C₅×D₄	C₂⁴	1	8	yes	—
428	C₂×C₅×D₄	C₂⁴	1	4	yes	—
429	C₂²×C₄×C₅	—	2	4	no	—
430	C₂²×C₄×C₅	—	2	4	no	—
431	C₂²×C₄×C₅	—	4	4	no	—
432	C₂²×C₄×C₅	—	4	4	no	—
433	C₂²×C₄×C₅	—	4	4	no	—
434	C₂²×C₄×C₅	—	4	4	no	—
435	C₂²×C₄×C₅	—	4	4	no	—
436	C₂²×C₄×C₅	—	4	4	no	—
437	C₂²×C₄×C₅	—	4	4	no	—
438	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
439	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
440	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
441	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
442	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
443	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
444	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
445	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
446	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
447	C₂²×C₄×C₅	C₂⁴	1	4	yes	—
448	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
449	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
450	C₂²×C₄×C₅	C₂⁴	1	8	yes	—
451	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
452	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
453	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
454	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
455	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
456	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
457	C₂×C₂²⋊D₅	—	2	8	no	—
458	C₂×C₂²⋊D₅	—	2	8	no	—
459	C₂×C₂²⋊D₅	—	4	4	no	—
460	C₂×C₂²⋊D₅	—	4	8	no	—
461	C₂×C₂²⋊D₅	—	4	8	no	—
462	C₂×C₂²⋊D₅	—	4	8	no	—
463	C₂×C₂²⋊D₅	—	4	8	no	—
464	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
465	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
466	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
467	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
468	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
469	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
470	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
471	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
472	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
473	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
474	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
475	C₂²×Dic₅	—	4	4	no	—
476	C₂²×Dic₅	—	4	2	no	—
477	C₂²×Dic₅	C₂⁴	1	2	yes	—
478	C₂²×Dic₅	C₂⁴	1	4	yes	—
479	C₂²×Dic₅	C₂⁴	1	2	yes	—
480	C₂²×Dic₅	C₂⁴	1	4	yes	—
481	C₂²×Dic₅	C₂⁴	1	4	yes	—
482	C₂²×Dic₅	C₂⁴	1	4	yes	—
483	C₂²×Dic₅	C₂⁴	1	8	yes	—
484	C₂²×Dic₅	C₂⁴	1	4	yes	—
485	C₂²×Dic₅	C₂⁴	1	4	yes	—
486	#711	—	4	16	no	—
487	#711	—	4	8	no	—
488	#711	—	4	8	no	—
489	D₄×D₅	—	4	16	no	—
490	D₄×D₅	—	4	8	no	—
491	D₄×D₅	—	4	8	no	—
492	#709	—	4	8	no	—
493	#709	—	4	8	no	—
494	#709	—	4	8	no	—
495	C₂×D₂₀	—	4	2	no	—
496	C₂×D₂₀	C₂⁴	1	4	yes	—
497	C₂×D₂₀	C₂⁴	1	4	yes	—
498	C₂×D₂₀	C₂⁴	1	8	yes	—
499	C₂×C₄×D₅	—	4	4	no	—
500	C₂×C₄×D₅	C₂⁴	1	8	yes	—
501	C₂×C₄×D₅	C₂⁴	1	4	yes	—
502	C₂×C₄×D₅	C₂⁴	1	4	yes	—
503	C₂×C₄×D₅	C₂⁴	1	8	yes	—
504	C₂×C₄×D₅	C₂⁴	1	8	yes	—
505	C₂×Dic₁₀	—	4	2	no	—
506	C₂×Dic₁₀	C₂⁴	1	4	yes	—
507	C₂×Dic₁₀	C₂⁴	1	4	yes	—
508	C₂×Dic₁₀	C₂⁴	1	8	yes	—
509	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
510	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
511	C₅×C₄⋊C₄	C₂⁴	1	8	yes	—
512	C₅×C₄⋊C₄	C₂⁴	1	8	yes	—
513	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
514	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
515	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
516	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
517	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
518	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
519	C₄²×C₅	C₂⁴	1	8	yes	—
520	C₂²⋊Dic₅	C₂⁴	1	4	yes	—
521	C₂²⋊Dic₅	C₂⁴	1	4	yes	—
522	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
523	C₂²⋊Dic₅	C₂⁴	1	4	yes	—
524	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
525	C₂²⋊Dic₅	C₂⁴	1	4	yes	—
526	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
527	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
528	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
529	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
530	#685	C₂⁴	1	8	yes	—
531	#685	C₂⁴	1	8	yes	—
532	#685	C₂⁴	1	8	yes	—
533	#685	C₂⁴	1	8	yes	—
534	#685	C₂⁴	1	8	yes	—
535	#685	C₂⁴	1	8	yes	—
536	#685	C₂⁴	1	8	yes	—
537	#685	C₂⁴	1	8	yes	—
538	#685	C₂⁴	1	8	yes	—
539	#685	C₂⁴	1	8	yes	—
540	#685	C₂⁴	1	8	yes	—
541	#685	C₂⁴	1	8	yes	—
542	C₄⋊Dic₅	C₂⁴	1	8	yes	—
543	C₄⋊Dic₅	C₂⁴	1	8	yes	—
544	C₄⋊Dic₅	C₂⁴	1	8	yes	—
545	C₄⋊Dic₅	C₂⁴	1	4	yes	—
546	C₄⋊Dic₅	C₂⁴	1	4	yes	—
547	#683	C₂⁴	1	8	yes	—
548	#683	C₂⁴	1	8	yes	—
549	#683	C₂⁴	1	8	yes	—
550	#683	C₂⁴	1	8	yes	—
551	#683	C₂⁴	1	8	yes	—
552	#683	C₂⁴	1	8	yes	—
553	#683	C₂⁴	1	8	yes	—
554	#683	C₂⁴	1	8	yes	—
555	#683	C₂⁴	1	8	yes	—
556	#683	C₂⁴	1	8	yes	—
557	#683	C₂⁴	1	8	yes	—
558	#683	C₂⁴	1	8	yes	—
559	C₄×Dic₅	C₂⁴	1	8	yes	—
560	C₄×Dic₅	C₂⁴	1	8	yes	—
561	C₄×Dic₅	C₂⁴	1	8	yes	—
562	C₄×Dic₅	C₂⁴	1	8	yes	—
563	C₂×H(5,𝔽₂)	—	5	2	no	—
564	C₂²×#41	—	5	1	no	—
565	C₂²×#41	C₂×D₅	1	1	yes	characteristic, complemented
566	C₂³×D₄	—	5	1	no	—
567	C₂⁴×C₄	C₂×D₅	1	1	yes	characteristic, complemented
568	#563	—	5	8	no	—
569	#562	—	5	8	no	—
570	#562	—	5	8	no	—
571	#560	—	5	8	no	—
572	#559	—	5	8	no	—
573	#554	—	5	8	no	—
574	#554	—	5	8	no	—
575	#553	—	5	8	no	—
576	#553	—	5	8	no	—
577	#553	—	5	8	no	—
578	#553	—	5	8	no	—
579	#552	—	5	8	no	—
580	#552	—	5	8	no	—
581	#552	—	5	8	no	—
582	#552	—	5	8	no	—
583	#551	—	5	8	no	—
584	#551	—	5	8	no	—
585	#551	—	5	8	no	—
586	#551	—	5	8	no	—
587	#551	—	5	8	no	—
588	#551	—	5	8	no	—
589	#551	—	5	8	no	—
590	#551	—	5	8	no	—
591	#551	—	5	8	no	—
592	#547	—	5	8	no	—
593	#547	—	5	8	no	—
594	#547	—	5	8	no	—
595	#547	—	5	8	no	—
596	#546	—	5	8	no	—
597	#546	—	5	8	no	—
598	#546	—	5	8	no	—
599	#546	—	5	8	no	—
600	#546	—	5	8	no	—
601	#546	—	5	8	no	—
602	#546	—	5	8	no	—
603	#546	—	5	8	no	—
604	#546	—	5	8	no	—
605	#546	—	5	8	no	—
606	D₄²	—	5	8	no	—
607	D₄²	—	5	8	no	—
608	#544	—	5	4	no	—
609	#543	—	5	4	no	—
610	#543	—	5	2	no	—
611	#542	—	5	8	no	—
612	#542	—	5	8	no	—
613	#540	—	5	8	no	—
614	#540	—	5	8	no	—
615	#539	—	5	8	no	—
616	#539	—	5	4	no	—
617	#539	—	5	8	no	—
618	#539	—	5	4	no	—
619	#539	—	5	8	no	—
620	#539	—	5	8	no	—
621	#539	—	5	8	no	—
622	#538	—	5	4	no	—
623	#538	—	5	4	no	—
624	#538	—	5	8	no	—
625	#538	—	5	8	no	—
626	#538	—	5	8	no	—
627	#538	—	5	8	no	—
628	#537	—	5	4	no	—
629	#536	—	5	4	no	—
630	#536	—	5	4	no	—
631	#535	—	5	4	no	—
632	#534	—	5	2	no	—
633	#534	—	5	2	no	—
634	#534	—	5	4	no	—
635	#534	—	5	4	no	—
636	#534	—	5	4	no	—
637	#534	—	5	4	no	—
638	#534	—	5	2	no	—
639	#529	—	5	8	no	—
640	#529	—	5	8	no	—
641	#525	—	5	4	no	—
642	#525	—	5	4	no	—
643	#525	—	5	4	no	—
644	#525	—	5	4	no	—
645	#525	—	5	4	no	—
646	#525	—	5	4	no	—
647	#525	—	5	4	no	—
648	#525	—	5	8	no	—
649	#525	C₂×D₅	1	4	yes	complemented
650	#525	C₂×D₅	1	4	yes	complemented
651	#525	C₂×D₅	1	4	yes	complemented
652	#525	C₂×D₅	1	4	yes	complemented
653	C₂×#123	—	5	2	no	—
654	C₂×#123	—	5	2	no	—
655	C₂×#123	—	5	4	no	—
656	C₂×#123	—	5	4	no	—
657	C₂×#123	—	5	4	no	—
658	C₂×#123	—	5	4	no	—
659	C₂×#123	—	5	4	no	—
660	C₂×#123	—	5	2	no	—
661	C₂×#123	—	5	4	no	—
662	C₂×#123	—	5	4	no	—
663	C₂×#123	C₂×D₅	1	2	yes	complemented
664	C₂×C₂²⋊Q₈	—	5	2	no	—
665	C₂×C₂²⋊Q₈	C₂×D₅	1	2	yes	complemented
666	C₂×#121	—	5	2	no	—
667	C₂×#121	C₂×D₅	1	2	yes	complemented
668	C₂×#120	—	5	2	no	—
669	C₂×#120	—	5	4	no	—
670	C₂×#120	C₂×D₅	1	2	yes	complemented
671	#520	—	5	8	no	—
672	#518	—	5	2	no	—
673	#518	—	5	8	no	—
674	#518	—	5	2	no	—
675	#518	—	5	2	no	—
676	C₂×C₄×D₄	—	5	4	no	—
677	C₂×C₄×D₄	C₂×D₅	1	4	yes	complemented
678	C₂×#117	—	5	1	no	—
679	C₂×#117	C₂×D₅	1	1	yes	characteristic, complemented
680	C₂²×C₄⋊C₄	—	5	2	no	—
681	C₂²×C₂²⋊C₄	—	5	1	no	—
682	C₂²×C₂²⋊C₄	—	5	2	no	—
683	C₂³×C₅	—	2	2	no	—
684	C₂³×C₅	—	2	4	no	—
685	C₂³×C₅	—	2	4	no	—
686	C₂³×C₅	—	2	4	no	—
687	C₂³×C₅	—	2	2	no	—
688	C₂³×C₅	—	2	4	no	—
689	C₂³×C₅	—	2	4	no	—
690	C₂³×C₅	—	2	4	no	—
691	C₂³×C₅	—	4	2	no	—
692	C₂³×C₅	—	4	2	no	—
693	C₂³×C₅	—	4	2	no	—
694	C₂³×C₅	—	4	2	no	—
695	C₂³×C₅	—	4	4	no	—
696	C₂³×C₅	—	4	16	no	—
697	C₂³×C₅	H(5,𝔽₂)	1	4	yes	—
698	C₂³×C₅	C₂⁵	1	2	yes	—
699	C₂³×C₅	C₂⁵	1	4	yes	—
700	C₂³×C₅	C₂⁵	1	1	yes	characteristic
701	C₂³×C₅	C₂⁵	1	1	yes	characteristic
702	C₂³×C₅	C₂⁵	1	1	yes	characteristic
703	C₂³×C₅	C₂⁵	1	2	yes	—
704	C₂²×D₅	—	2	4	no	—
705	C₂²×D₅	—	2	4	no	—
706	C₂²×D₅	—	2	8	no	—
707	C₂²×D₅	—	4	4	no	—
708	C₂²×D₅	—	4	4	no	—
709	C₂²×D₅	—	4	4	no	—
710	C₂²×D₅	—	4	4	no	—
711	C₂²×D₅	—	4	4	no	—
712	C₂²×D₅	—	4	8	no	—
713	C₂²×D₅	—	8	8	no	—
714	C₂²×D₅	C₂⁵	1	4	yes	—
715	C₂²×D₅	C₂⁵	1	4	yes	—
716	C₅×Q₈	—	4	4	no	—
717	C₅×D₄	—	2	8	no	—
718	C₅×D₄	—	2	8	no	—
719	C₅×D₄	—	2	16	no	—
720	C₅×D₄	—	4	8	no	—
721	C₅×D₄	—	4	4	no	—
722	C₂×C₄×C₅	—	2	2	no	—
723	C₂×C₄×C₅	—	2	2	no	—
724	C₂×C₄×C₅	—	2	4	no	—
725	C₂×C₄×C₅	—	2	4	no	—
726	C₂×C₄×C₅	—	2	4	no	—
727	C₂×C₄×C₅	—	2	2	no	—
728	C₂×C₄×C₅	—	2	2	no	—
729	C₂×C₄×C₅	—	2	4	no	—
730	C₂×C₄×C₅	—	2	4	no	—
731	C₂×C₄×C₅	—	4	2	no	—
732	C₂×C₄×C₅	—	4	2	no	—
733	C₂×C₄×C₅	—	4	2	no	—
734	C₂×C₄×C₅	—	4	2	no	—
735	C₂×C₄×C₅	—	4	2	no	—
736	C₂×C₄×C₅	—	4	2	no	—
737	C₂×C₄×C₅	—	4	2	no	—
738	C₂×C₄×C₅	—	4	2	no	—
739	C₂×C₄×C₅	—	4	8	no	—
740	C₂×C₄×C₅	—	4	4	no	—
741	C₂×C₄×C₅	C₂⁵	1	2	yes	—
742	C₂×C₄×C₅	C₂⁵	1	8	yes	—
743	C₂×C₄×C₅	C₂⁵	1	4	yes	—
744	C₂×C₄×C₅	C₂⁵	1	2	yes	—
745	C₂×C₄×C₅	C₂⁵	1	2	yes	—
746	C₂×C₄×C₅	C₂⁵	1	2	yes	—
747	C₂²⋊D₅	—	2	8	no	—
748	C₂²⋊D₅	—	2	8	no	—
749	C₂²⋊D₅	—	2	8	no	—
750	C₂²⋊D₅	—	2	8	no	—
751	C₂²⋊D₅	—	2	16	no	—
752	C₂²⋊D₅	—	4	4	no	—
753	C₂²⋊D₅	—	4	4	no	—
754	C₂²⋊D₅	—	4	8	no	—
755	C₂²⋊D₅	—	4	8	no	—
756	C₂²⋊D₅	—	4	8	no	—
757	C₂²⋊D₅	—	4	8	no	—
758	C₂×Dic₅	—	2	4	no	—
759	C₂×Dic₅	—	2	4	no	—
760	C₂×Dic₅	—	2	8	no	—
761	C₂×Dic₅	—	4	4	no	—
762	C₂×Dic₅	—	4	8	no	—
763	C₂×Dic₅	—	4	4	no	—
764	C₂×Dic₅	—	4	4	no	—
765	C₂×Dic₅	—	4	4	no	—
766	C₂×Dic₅	—	4	4	no	—
767	C₂×Dic₅	C₂⁵	1	8	yes	—
768	C₂×Dic₅	C₂⁵	1	4	yes	—
769	C₂×Dic₅	C₂⁵	1	8	yes	—
770	C₂×Dic₅	C₂⁵	1	4	yes	—
771	D₂₀	—	4	4	no	—
772	D₂₀	—	4	4	no	—
773	D₂₀	—	4	8	no	—
774	C₄×D₅	—	4	8	no	—
775	C₄×D₅	—	4	4	no	—
776	C₄×D₅	—	4	4	no	—
777	C₄×D₅	—	4	8	no	—
778	C₄×D₅	—	4	8	no	—
779	Dic₁₀	—	4	4	no	—
780	Dic₁₀	—	4	4	no	—
781	Dic₁₀	—	4	8	no	—
782	C₂⁵	—	5	1	no	—
783	C₂⁵	C₂²×D₅	1	1	yes	characteristic
784	H(5,𝔽₂)	—	20	8	no	—
785	C₂×#41	—	4	4	no	—
786	C₂×#41	—	5	8	no	—
787	C₂×#41	—	5	4	no	—
788	C₂×#41	—	5	4	no	—
789	C₂×#41	—	5	4	no	—
790	C₂×#41	—	5	4	no	—
791	C₂×#41	—	5	4	no	—
792	C₂×#41	—	20	4	no	—
793	C₂×#41	C₂²×D₅	1	4	yes	—
794	C₂×#41	C₂²×D₅	1	4	yes	complemented
795	C₂²×Q₈	—	5	1	no	—
796	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic, complemented
797	C₂²×D₄	—	5	2	no	—
798	C₂²×D₄	—	5	2	no	—
799	C₂²×D₄	—	5	4	no	—
800	C₂²×D₄	—	5	2	no	—
801	C₂²×D₄	—	5	4	no	—
802	C₂²×D₄	—	5	4	no	—
803	C₂²×D₄	—	5	4	no	—
804	C₂²×D₄	—	5	8	no	—
805	C₂²×D₄	—	5	4	no	—
806	C₂²×D₄	—	5	4	no	—
807	C₂²×D₄	—	5	1	no	—
808	C₂²×D₄	—	20	4	no	—
809	C₂²×D₄	C₂²×D₅	1	2	yes	—
810	C₂²×D₄	C₂²×D₅	1	4	yes	—
811	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic, complemented
812	C₂³×C₄	—	4	4	no	—
813	C₂³×C₄	—	5	2	no	—
814	C₂³×C₄	—	5	1	no	—
815	C₂³×C₄	—	5	2	no	—
816	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic
817	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic
818	C₂³×C₄	C₂²×D₅	1	2	yes	—
819	C₂³×C₄	C₂²×D₅	1	2	yes	—
820	C₂³×C₄	C₂²×D₅	1	2	yes	—
821	C₂³×C₄	C₂²×D₅	1	2	yes	—
822	C₂³×C₄	C₂²×D₅	1	2	yes	—
823	C₂³×C₄	C₂²×D₅	1	2	yes	—
824	C₂³×C₄	C₂²×D₅	1	2	yes	complemented
825	C₄⋊Q₈	—	5	8	no	—
826	C₄⋊Q₈	—	5	8	no	—
827	#127	—	5	8	no	—
828	#126	—	5	8	no	—
829	#126	—	5	8	no	—
830	#126	—	5	8	no	—
831	#126	—	5	8	no	—
832	#126	—	5	8	no	—
833	#126	—	5	8	no	—
834	#126	—	5	8	no	—
835	#126	—	5	8	no	—
836	#126	—	5	8	no	—
837	#126	—	5	8	no	—
838	#125	—	5	8	no	—
839	#125	—	5	8	no	—
840	#125	—	5	8	no	—
841	#125	—	5	8	no	—
842	#125	—	5	8	no	—
843	#125	—	5	8	no	—
844	#124	—	5	8	no	—
845	#124	—	5	8	no	—
846	#124	—	5	8	no	—
847	#124	—	5	8	no	—
848	#124	—	5	8	no	—
849	#124	—	5	8	no	—
850	#124	—	5	8	no	—
851	#123	—	5	4	no	—
852	#123	—	5	4	no	—
853	#123	—	5	8	no	—
854	#123	—	5	8	no	—
855	#123	—	5	8	no	—
856	#123	—	5	4	no	—
857	#123	—	5	4	no	—
858	#123	—	5	4	no	—
859	#123	—	5	4	no	—
860	#123	—	5	8	no	—
861	#123	—	5	8	no	—
862	#123	—	5	8	no	—
863	#123	—	5	8	no	—
864	#123	—	5	8	no	—
865	#123	—	5	8	no	—
866	#123	—	5	4	no	—
867	#123	—	5	4	no	—
868	#123	—	5	8	no	—
869	#123	—	5	4	no	—
870	#123	—	5	4	no	—
871	#123	—	5	8	no	—
872	#123	—	5	8	no	—
873	#123	—	5	8	no	—
874	#123	—	5	8	no	—
875	#123	—	5	8	no	—
876	#123	—	5	8	no	—
877	#123	—	5	4	no	—
878	#123	—	5	8	no	—
879	#123	—	5	4	no	—
880	#123	—	5	8	no	—
881	#123	—	5	8	no	—
882	#123	—	5	8	no	—
883	#123	—	5	8	no	—
884	#123	—	5	8	no	—
885	#123	C₂²×D₅	1	8	yes	—
886	#123	C₂²×D₅	1	4	yes	complemented
887	#123	C₂²×D₅	1	4	yes	complemented
888	C₂²⋊Q₈	—	5	8	no	—
889	C₂²⋊Q₈	—	5	8	no	—
890	C₂²⋊Q₈	—	5	4	no	—
891	C₂²⋊Q₈	—	5	4	no	—
892	C₂²⋊Q₈	—	5	4	no	—
893	C₂²⋊Q₈	—	5	4	no	—
894	C₂²⋊Q₈	—	5	8	no	—
895	C₂²⋊Q₈	—	5	8	no	—
896	C₂²⋊Q₈	—	5	8	no	—
897	C₂²⋊Q₈	—	5	8	no	—
898	C₂²⋊Q₈	—	5	8	no	—
899	C₂²⋊Q₈	—	5	8	no	—
900	C₂²⋊Q₈	—	5	8	no	—
901	C₂²⋊Q₈	—	5	8	no	—
902	C₂²⋊Q₈	—	5	8	no	—
903	C₂²⋊Q₈	—	5	8	no	—
904	C₂²⋊Q₈	—	5	8	no	—
905	C₂²⋊Q₈	—	5	8	no	—
906	C₂²⋊Q₈	—	5	8	no	—
907	C₂²⋊Q₈	C₂²×D₅	1	4	yes	—
908	C₂²⋊Q₈	C₂²×D₅	1	4	yes	—
909	C₂²⋊Q₈	C₂²×D₅	1	4	yes	complemented
910	C₂²⋊Q₈	C₂²×D₅	1	4	yes	complemented
911	#121	—	5	8	no	—
912	#121	—	5	8	no	—
913	#121	—	5	8	no	—
914	#121	—	5	8	no	—
915	#121	—	5	8	no	—
916	#121	—	5	8	no	—
917	#121	—	5	8	no	—
918	#121	—	5	8	no	—
919	#121	—	5	8	no	—
920	#121	—	5	8	no	—
921	#121	—	5	4	no	—
922	#121	—	5	4	no	—
923	#121	—	5	4	no	—
924	#121	—	5	4	no	—
925	#121	—	5	8	no	—
926	#121	—	5	8	no	—
927	#121	—	5	8	no	—
928	#121	—	5	8	no	—
929	#121	—	5	8	no	—
930	#121	—	5	8	no	—
931	#121	—	5	8	no	—
932	#121	C₂²×D₅	1	4	yes	—
933	#121	C₂²×D₅	1	4	yes	—
934	#121	C₂²×D₅	1	4	yes	complemented
935	#121	C₂²×D₅	1	4	yes	complemented
936	#120	—	5	4	no	—
937	#120	—	5	4	no	—
938	#120	—	5	8	no	—
939	#120	—	5	4	no	—
940	#120	—	5	4	no	—
941	#120	—	5	4	no	—
942	#120	—	5	8	no	—
943	#120	—	5	4	no	—
944	#120	—	5	8	no	—
945	#120	—	5	8	no	—
946	#120	—	5	4	no	—
947	#120	—	5	8	no	—
948	#120	—	5	4	no	—
949	#120	—	5	8	no	—
950	#120	C₂²×D₅	1	4	yes	—
951	#120	C₂²×D₅	1	4	yes	—
952	#120	C₂²×D₅	1	8	yes	—
953	C₄×Q₈	—	5	8	no	—
954	C₄×Q₈	—	5	8	no	—
955	C₄×D₄	—	5	8	no	—
956	C₄×D₄	—	5	8	no	—
957	C₄×D₄	—	5	8	no	—
958	C₄×D₄	—	5	8	no	—
959	C₄×D₄	—	5	8	no	—
960	C₄×D₄	—	5	8	no	—
961	C₄×D₄	—	5	8	no	—
962	C₄×D₄	—	5	8	no	—
963	C₄×D₄	—	5	8	no	—
964	C₄×D₄	—	5	8	no	—
965	C₄×D₄	—	5	8	no	—
966	C₄×D₄	—	5	8	no	—
967	C₄×D₄	—	5	8	no	—
968	C₄×D₄	—	5	8	no	—
969	C₄×D₄	—	5	8	no	—
970	C₄×D₄	—	5	8	no	—
971	C₄×D₄	—	5	8	no	—
972	C₄×D₄	—	5	8	no	—
973	C₄×D₄	—	5	8	no	—
974	C₄×D₄	—	5	8	no	—
975	C₄×D₄	C₂²×D₅	1	8	yes	—
976	C₄×D₄	C₂²×D₅	1	8	yes	—
977	C₄×D₄	C₂²×D₅	1	8	yes	complemented
978	C₄×D₄	C₂²×D₅	1	8	yes	complemented
979	#117	—	5	4	no	—
980	#117	—	5	4	no	—
981	#117	—	5	4	no	—
982	#117	—	5	8	no	—
983	#117	—	5	4	no	—
984	#117	—	5	4	no	—
985	#117	—	5	8	no	—
986	#117	—	5	8	no	—
987	#117	—	5	8	no	—
988	#117	—	5	8	no	—
989	#117	C₂²×D₅	1	4	yes	—
990	#117	C₂²×D₅	1	4	yes	complemented
991	C₂×C₄⋊C₄	—	5	4	no	—
992	C₂×C₄⋊C₄	—	5	4	no	—
993	C₂×C₄⋊C₄	—	5	4	no	—
994	C₂×C₄⋊C₄	—	5	4	no	—
995	C₂×C₄⋊C₄	—	5	4	no	—
996	C₂×C₄⋊C₄	—	5	4	no	—
997	C₂×C₄⋊C₄	—	5	2	no	—
998	C₂×C₄⋊C₄	—	5	4	no	—
999	C₂×C₄⋊C₄	—	5	8	no	—
1000	C₂×C₄⋊C₄	—	5	8	no	—
1001	C₂×C₄⋊C₄	C₂²×D₅	1	2	yes	complemented
1002	C₂×C₄⋊C₄	C₂²×D₅	1	4	yes	complemented
1003	C₂×C₂²⋊C₄	—	5	2	no	—
1004	C₂×C₂²⋊C₄	—	5	2	no	—
1005	C₂×C₂²⋊C₄	—	5	4	no	—
1006	C₂×C₂²⋊C₄	—	5	4	no	—
1007	C₂×C₂²⋊C₄	—	5	2	no	—
1008	C₂×C₂²⋊C₄	—	5	4	no	—
1009	C₂×C₂²⋊C₄	—	5	4	no	—
1010	C₂×C₂²⋊C₄	—	5	4	no	—
1011	C₂×C₂²⋊C₄	—	5	4	no	—
1012	C₂×C₂²⋊C₄	—	5	4	no	—
1013	C₂×C₂²⋊C₄	—	5	4	no	—
1014	C₂×C₂²⋊C₄	—	5	4	no	—
1015	C₂×C₂²⋊C₄	—	5	4	no	—
1016	C₂×C₂²⋊C₄	—	5	4	no	—
1017	C₂×C₂²⋊C₄	—	5	8	no	—
1018	C₂×C₂²⋊C₄	—	5	4	no	—
1019	C₂×C₂²⋊C₄	—	5	8	no	—
1020	C₂×C₂²⋊C₄	—	5	4	no	—
1021	C₂×C₂²⋊C₄	—	5	8	no	—
1022	C₂×C₂²⋊C₄	C₂²×D₅	1	2	yes	—
1023	C₂×C₂²⋊C₄	C₂²×D₅	1	4	yes	—
1024	C₂×C₂²⋊C₄	C₂²×D₅	1	4	yes	complemented
1025	C₂×C₄²	—	5	2	no	—
1026	C₂×C₄²	C₂²×D₅	1	2	yes	complemented
1027	C₂²×C₅	—	2	8	no	—
1028	C₂²×C₅	—	2	2	no	—
1029	C₂²×C₅	—	2	2	no	—
1030	C₂²×C₅	—	2	2	no	—
1031	C₂²×C₅	—	2	2	no	—
1032	C₂²×C₅	—	2	2	no	—
1033	C₂²×C₅	—	2	4	no	—
1034	C₂²×C₅	—	2	2	no	—
1035	C₂²×C₅	—	2	8	no	—
1036	C₂²×C₅	—	2	2	no	—
1037	C₂²×C₅	—	2	2	no	—
1038	C₂²×C₅	—	4	4	no	—
1039	C₂²×C₅	—	4	8	no	—
1040	C₂²×C₅	—	4	8	no	—
1041	C₂²×C₅	—	4	4	no	—
1042	C₂²×C₅	—	8	4	no	—
1043	C₂²×C₅	C₂×H(5,𝔽₂)	1	2	yes	—
1044	C₂²×C₅	C₂×H(5,𝔽₂)	1	2	yes	—
1045	C₂²×C₅	C₂×H(5,𝔽₂)	1	2	yes	—
1046	C₂²×C₅	#585	1	4	yes	—
1047	C₂²×C₅	C₂⁶	1	1	yes	characteristic
1048	C₂×D₅	—	2	4	no	—
1049	C₂×D₅	—	2	4	no	—
1050	C₂×D₅	—	2	8	no	—
1051	C₂×D₅	—	2	8	no	—
1052	C₂×D₅	—	8	4	no	—
1053	C₂×D₅	—	8	4	no	—
1054	C₂×D₅	—	8	8	no	—
1055	C₂×D₅	—	16	4	no	—
1056	C₄×C₅	—	2	2	no	—
1057	C₄×C₅	—	2	4	no	—
1058	C₄×C₅	—	2	2	no	—
1059	C₄×C₅	—	2	2	no	—
1060	C₄×C₅	—	2	2	no	—
1061	C₄×C₅	—	2	8	no	—
1062	Dic₅	—	2	4	no	—
1063	Dic₅	—	2	4	no	—
1064	Dic₅	—	2	8	no	—
1065	Dic₅	—	2	8	no	—
1066	C₂⁴	—	2	4	no	—
1067	C₂⁴	—	4	4	no	—
1068	C₂⁴	—	5	2	no	—
1069	C₂⁴	—	5	4	no	—
1070	C₂⁴	—	5	2	no	—
1071	C₂⁴	—	5	4	no	—
1072	C₂⁴	—	20	2	no	—
1073	C₂⁴	—	20	4	no	—
1074	C₂⁴	C₂³×D₅	1	1	yes	characteristic
1075	C₂⁴	C₂³×D₅	1	2	yes	—
1076	C₂⁴	C₂³×D₅	1	2	yes	—
1077	C₂⁴	C₂³×D₅	1	2	yes	—
1078	C₂⁴	C₂³×D₅	1	1	yes	characteristic
1079	C₂⁴	C₂³×D₅	1	1	yes	characteristic
1080	#41	—	4	8	no	—
1081	#41	—	4	8	no	—
1082	#41	—	20	8	no	—
1083	#41	—	20	8	no	—
1084	#41	—	20	8	no	—
1085	#41	—	20	8	no	—
1086	#41	—	20	8	no	—
1087	#41	—	20	16	no	—
1088	C₂×Q₈	—	4	2	no	—
1089	C₂×Q₈	—	5	8	no	—
1090	C₂×Q₈	—	5	4	no	—
1091	C₂×Q₈	—	5	4	no	—
1092	C₂×Q₈	—	20	2	no	—
1093	C₂×Q₈	C₂³×D₅	1	4	yes	—
1094	C₂×D₄	—	2	8	no	—
1095	C₂×D₄	—	4	2	no	—
1096	C₂×D₄	—	4	8	no	—
1097	C₂×D₄	—	5	8	no	—
1098	C₂×D₄	—	5	4	no	—
1099	C₂×D₄	—	5	4	no	—
1100	C₂×D₄	—	5	4	no	—
1101	C₂×D₄	—	5	4	no	—
1102	C₂×D₄	—	5	8	no	—
1103	C₂×D₄	—	5	8	no	—
1104	C₂×D₄	—	5	8	no	—
1105	C₂×D₄	—	5	4	no	—
1106	C₂×D₄	—	5	8	no	—
1107	C₂×D₄	—	5	4	no	—
1108	C₂×D₄	—	5	8	no	—
1109	C₂×D₄	—	5	4	no	—
1110	C₂×D₄	—	5	4	no	—
1111	C₂×D₄	—	10	8	no	—
1112	C₂×D₄	—	10	8	no	—
1113	C₂×D₄	—	20	2	no	—
1114	C₂×D₄	—	20	4	no	—
1115	C₂×D₄	—	20	8	no	—
1116	C₂×D₄	—	20	8	no	—
1117	C₂×D₄	—	20	16	no	—
1118	C₂×D₄	—	20	8	no	—
1119	C₂×D₄	—	20	8	no	—
1120	C₂×D₄	—	20	8	no	—
1121	C₂×D₄	—	20	8	no	—
1122	C₂×D₄	C₂³×D₅	1	8	yes	—
1123	C₂×D₄	C₂³×D₅	1	4	yes	—
1124	C₂×D₄	C₂³×D₅	1	4	yes	—
1125	C₂×D₄	C₂³×D₅	1	8	yes	—
1126	C₂×D₄	C₂³×D₅	1	4	yes	—
1127	C₂²×C₄	—	2	4	no	—
1128	C₂²×C₄	—	2	4	no	—
1129	C₂²×C₄	—	4	4	no	—
1130	C₂²×C₄	—	4	4	no	—
1131	C₂²×C₄	—	4	4	no	—
1132	C₂²×C₄	—	4	4	no	—
1133	C₂²×C₄	—	4	4	no	—
1134	C₂²×C₄	—	4	4	no	—
1135	C₂²×C₄	—	4	4	no	—
1136	C₂²×C₄	—	5	4	no	—
1137	C₂²×C₄	—	5	2	no	—
1138	C₂²×C₄	—	5	2	no	—
1139	C₂²×C₄	—	5	4	no	—
1140	C₂²×C₄	—	5	4	no	—
1141	C₂²×C₄	—	5	4	no	—
1142	C₂²×C₄	—	5	8	no	—
1143	C₂²×C₄	—	5	4	no	—
1144	C₂²×C₄	—	5	4	no	—
1145	C₂²×C₄	—	5	8	no	—
1146	C₂²×C₄	—	5	8	no	—
1147	C₂²×C₄	—	5	4	no	—
1148	C₂²×C₄	—	5	8	no	—
1149	C₂²×C₄	—	5	4	no	—
1150	C₂²×C₄	—	20	4	no	—
1151	C₂²×C₄	—	20	2	no	—
1152	C₂²×C₄	—	20	4	no	—
1153	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1154	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1155	C₂²×C₄	C₂³×D₅	1	2	yes	—
1156	C₂²×C₄	C₂³×D₅	1	2	yes	—
1157	C₂²×C₄	C₂³×D₅	1	2	yes	—
1158	C₂²×C₄	C₂³×D₅	1	2	yes	—
1159	C₂²×C₄	C₂³×D₅	1	2	yes	—
1160	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1161	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1162	C₂²×C₄	C₂³×D₅	1	4	yes	—
1163	C₂²×C₄	C₂³×D₅	1	2	yes	—
1164	C₂²×C₄	C₂³×D₅	1	2	yes	—
1165	C₂²×C₄	C₂³×D₅	1	2	yes	—
1166	C₂²×C₄	C₂³×D₅	1	2	yes	—
1167	C₂²×C₄	C₂³×D₅	1	8	yes	—
1168	C₂²×C₄	C₂³×D₅	1	2	yes	—
1169	C₂²×C₄	C₂³×D₅	1	2	yes	—
1170	C₂²×C₄	C₂³×D₅	1	2	yes	—
1171	C₂²×C₄	C₂³×D₅	1	2	yes	—
1172	C₄⋊C₄	—	5	8	no	—
1173	C₄⋊C₄	—	5	8	no	—
1174	C₄⋊C₄	—	5	8	no	—
1175	C₄⋊C₄	—	5	8	no	—
1176	C₄⋊C₄	—	5	8	no	—
1177	C₄⋊C₄	—	5	8	no	—
1178	C₄⋊C₄	—	5	4	no	—
1179	C₄⋊C₄	—	5	4	no	—
1180	C₄⋊C₄	—	5	8	no	—
1181	C₄⋊C₄	—	5	8	no	—
1182	C₄⋊C₄	—	5	8	no	—
1183	C₄⋊C₄	—	5	8	no	—
1184	C₄⋊C₄	—	5	8	no	—
1185	C₄⋊C₄	—	5	8	no	—
1186	C₄⋊C₄	—	5	8	no	—
1187	C₄⋊C₄	—	5	8	no	—
1188	C₄⋊C₄	—	5	8	no	—
1189	C₄⋊C₄	C₂³×D₅	1	8	yes	—
1190	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1191	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1192	C₄⋊C₄	C₂³×D₅	1	8	yes	—
1193	C₂²⋊C₄	—	5	4	no	—
1194	C₂²⋊C₄	—	5	4	no	—
1195	C₂²⋊C₄	—	5	8	no	—
1196	C₂²⋊C₄	—	5	4	no	—
1197	C₂²⋊C₄	—	5	4	no	—
1198	C₂²⋊C₄	—	5	8	no	—
1199	C₂²⋊C₄	—	5	8	no	—
1200	C₂²⋊C₄	—	5	8	no	—
1201	C₂²⋊C₄	—	5	8	no	—
1202	C₂²⋊C₄	—	5	8	no	—
1203	C₂²⋊C₄	—	5	8	no	—
1204	C₂²⋊C₄	—	5	8	no	—
1205	C₂²⋊C₄	—	5	8	no	—
1206	C₂²⋊C₄	—	5	8	no	—
1207	C₂²⋊C₄	—	5	8	no	—
1208	C₂²⋊C₄	—	5	8	no	—
1209	C₂²⋊C₄	—	5	8	no	—
1210	C₂²⋊C₄	—	5	8	no	—
1211	C₂²⋊C₄	—	5	8	no	—
1212	C₂²⋊C₄	—	5	8	no	—
1213	C₂²⋊C₄	—	5	8	no	—
1214	C₂²⋊C₄	—	5	8	no	—
1215	C₂²⋊C₄	C₂³×D₅	1	4	yes	—
1216	C₂²⋊C₄	C₂³×D₅	1	4	yes	—
1217	C₂²⋊C₄	C₂³×D₅	1	8	yes	—
1218	C₂²⋊C₄	C₂³×D₅	1	8	yes	—
1219	C₂²⋊C₄	C₂³×D₅	1	8	yes	—
1220	C₂²⋊C₄	C₂³×D₅	1	8	yes	—
1221	C₄²	—	5	8	no	—
1222	C₄²	—	5	8	no	—
1223	C₄²	—	5	8	no	—
1224	C₄²	—	5	8	no	—
1225	C₄²	C₂³×D₅	1	8	yes	—
1226	C₂×C₅	—	2	2	no	—
1227	C₂×C₅	—	2	4	no	—
1228	C₂×C₅	—	2	2	no	—
1229	C₂×C₅	—	2	2	no	—
1230	C₂×C₅	—	4	4	no	—
1231	C₂×C₅	—	4	2	no	—
1232	C₂×C₅	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1233	C₂×C₅	C₂×#585	1	2	yes	—
1234	D₅	—	4	4	no	—
1235	D₅	—	4	4	no	—
1236	C₂³	—	2	2	no	—
1237	C₂³	—	2	4	no	—
1238	C₂³	—	2	4	no	—
1239	C₂³	—	2	4	no	—
1240	C₂³	—	2	2	no	—
1241	C₂³	—	2	4	no	—
1242	C₂³	—	2	4	no	—
1243	C₂³	—	2	4	no	—
1244	C₂³	—	4	2	no	—
1245	C₂³	—	4	2	no	—
1246	C₂³	—	4	2	no	—
1247	C₂³	—	4	2	no	—
1248	C₂³	—	4	4	no	—
1249	C₂³	—	4	16	no	—
1250	C₂³	—	5	4	no	—
1251	C₂³	—	5	4	no	—
1252	C₂³	—	10	4	no	—
1253	C₂³	—	10	4	no	—
1254	C₂³	—	10	8	no	—
1255	C₂³	—	20	4	no	—
1256	C₂³	—	20	4	no	—
1257	C₂³	—	20	4	no	—
1258	C₂³	—	20	4	no	—
1259	C₂³	—	20	4	no	—
1260	C₂³	—	20	8	no	—
1261	C₂³	—	40	8	no	—
1262	C₂³	#4144	1	4	yes	—
1263	C₂³	C₂⁴×D₅	1	2	yes	—
1264	C₂³	C₂⁴×D₅	1	4	yes	—
1265	C₂³	C₂⁴×D₅	1	1	yes	characteristic
1266	C₂³	C₂⁴×D₅	1	1	yes	characteristic
1267	C₂³	C₂⁴×D₅	1	1	yes	characteristic
1268	C₂³	C₂⁴×D₅	1	2	yes	—
1269	Q₈	—	4	4	no	—
1270	Q₈	—	20	4	no	—
1271	Q₈	—	20	4	no	—
1272	Q₈	—	20	8	no	—
1273	D₄	—	2	8	no	—
1274	D₄	—	2	8	no	—
1275	D₄	—	2	16	no	—
1276	D₄	—	4	4	no	—
1277	D₄	—	4	8	no	—
1278	D₄	—	10	8	no	—
1279	D₄	—	10	8	no	—
1280	D₄	—	10	8	no	—
1281	D₄	—	10	8	no	—
1282	D₄	—	10	16	no	—
1283	D₄	—	20	4	no	—
1284	D₄	—	20	4	no	—
1285	D₄	—	20	8	no	—
1286	D₄	—	20	8	no	—
1287	D₄	—	20	4	no	—
1288	D₄	—	20	4	no	—
1289	D₄	—	20	8	no	—
1290	D₄	—	20	8	no	—
1291	D₄	—	20	8	no	—
1292	C₂×C₄	—	2	2	no	—
1293	C₂×C₄	—	2	2	no	—
1294	C₂×C₄	—	2	2	no	—
1295	C₂×C₄	—	2	2	no	—
1296	C₂×C₄	—	2	4	no	—
1297	C₂×C₄	—	2	4	no	—
1298	C₂×C₄	—	2	4	no	—
1299	C₂×C₄	—	2	4	no	—
1300	C₂×C₄	—	2	4	no	—
1301	C₂×C₄	—	4	2	no	—
1302	C₂×C₄	—	4	2	no	—
1303	C₂×C₄	—	4	2	no	—
1304	C₂×C₄	—	4	2	no	—
1305	C₂×C₄	—	4	2	no	—
1306	C₂×C₄	—	4	2	no	—
1307	C₂×C₄	—	4	2	no	—
1308	C₂×C₄	—	4	2	no	—
1309	C₂×C₄	—	4	8	no	—
1310	C₂×C₄	—	4	4	no	—
1311	C₂×C₄	—	5	8	no	—
1312	C₂×C₄	—	5	8	no	—
1313	C₂×C₄	—	5	4	no	—
1314	C₂×C₄	—	5	4	no	—
1315	C₂×C₄	—	10	4	no	—
1316	C₂×C₄	—	10	4	no	—
1317	C₂×C₄	—	10	8	no	—
1318	C₂×C₄	—	20	8	no	—
1319	C₂×C₄	—	20	4	no	—
1320	C₂×C₄	—	20	4	no	—
1321	C₂×C₄	—	20	8	no	—
1322	C₂×C₄	—	20	8	no	—
1323	C₂×C₄	—	20	4	no	—
1324	C₂×C₄	—	20	4	no	—
1325	C₂×C₄	—	20	4	no	—
1326	C₂×C₄	—	20	4	no	—
1327	C₂×C₄	—	20	4	no	—
1328	C₂×C₄	—	20	8	no	—
1329	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1330	C₂×C₄	C₂⁴×D₅	1	8	yes	—
1331	C₂×C₄	C₂⁴×D₅	1	4	yes	—
1332	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1333	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1334	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1335	C₅	#62820	1	1	yes	characteristic, complemented, Sylow
1336	C₂²	—	2	8	no	—
1337	C₂²	—	2	2	no	—
1338	C₂²	—	2	2	no	—
1339	C₂²	—	2	2	no	—
1340	C₂²	—	2	2	no	—
1341	C₂²	—	2	2	no	—
1342	C₂²	—	2	2	no	—
1343	C₂²	—	2	4	no	—
1344	C₂²	—	2	8	no	—
1345	C₂²	—	2	2	no	—
1346	C₂²	—	2	2	no	—
1347	C₂²	—	4	4	no	—
1348	C₂²	—	4	8	no	—
1349	C₂²	—	4	8	no	—
1350	C₂²	—	4	4	no	—
1351	C₂²	—	8	4	no	—
1352	C₂²	—	10	4	no	—
1353	C₂²	—	10	4	no	—
1354	C₂²	—	10	8	no	—
1355	C₂²	—	10	8	no	—
1356	C₂²	—	40	4	no	—
1357	C₂²	—	40	8	no	—
1358	C₂²	—	40	4	no	—
1359	C₂²	—	80	4	no	—
1360	C₂²	C₂×#4144	1	2	yes	—
1361	C₂²	C₂×#4144	1	2	yes	—
1362	C₂²	C₂×#4144	1	2	yes	—
1363	C₂²	#66283	1	4	yes	—
1364	C₂²	C₂⁵×D₅	1	1	yes	characteristic
1365	C₄	—	2	2	no	—
1366	C₄	—	2	2	no	—
1367	C₄	—	2	2	no	—
1368	C₄	—	2	2	no	—
1369	C₄	—	2	4	no	—
1370	C₄	—	2	8	no	—
1371	C₄	—	10	4	no	—
1372	C₄	—	10	4	no	—
1373	C₄	—	10	8	no	—
1374	C₄	—	10	8	no	—
1375	C₂	—	2	2	no	—
1376	C₂	—	2	4	no	—
1377	C₂	—	2	2	no	—
1378	C₂	—	2	2	no	—
1379	C₂	—	4	2	no	—
1380	C₂	—	4	4	no	—
1381	C₂	—	20	4	no	—
1382	C₂	—	20	4	no	—
1383	C₂	C₂²×#4144	1	1	yes	characteristic
1384	C₂	C₂×#66283	1	2	yes	—

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₅
commutator, socle, cosocle	C₂²×C₅	C₂⁶
Fitting	C₂×C₅×#525	C₂
hypercenter	C₂×#525	D₅
hypocenter	C₅	#62820
LCS	G ▷ C₂²×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ C₂×#525

Complements

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

N	H ≅ G/N	type
1. C₂×C₅×#525	C₂	semidirect
2. #10619174	C₂	semidirect
3. C₂×#66125	C₂	semidirect
4. C₂²×#4075	C₂	semidirect
5. #10617951	C₂	semidirect
6. #10617950	C₂	semidirect
7. #10617946	C₂	semidirect
8. #10617944	C₂	semidirect
9. #10617931	C₂	semidirect
10. #10617926	C₂	semidirect
11. #10617913	C₂	semidirect
12. #10617902	C₂	semidirect
13. #10617890	C₂	semidirect
14. #10617855	C₂	semidirect
15. #10617820	C₂	semidirect
16. #10617814	C₂	semidirect
17. #10617690	C₂	semidirect
18. #10617646	C₂	semidirect
19. C₂²×C₅×#41	C₂²	semidirect
20. C₂⁴×C₄×C₅	C₂²	semidirect
22. C₂×#4144	C₂²	semidirect
23. C₂²×#709	C₂²	semidirect
24. C₅×#525	C₂²	semidirect
25. C₅×#525	C₂²	semidirect
26. C₅×#525	C₂²	semidirect
27. C₅×#525	C₂²	semidirect
28. C₂×C₅×#123	C₂²	semidirect
29. C₂×C₅×C₂²⋊Q₈	C₂²	semidirect
30. C₂×C₅×#121	C₂²	semidirect
31. C₂×C₅×#120	C₂²	semidirect
32. C₂×C₄×C₅×D₄	C₂²	semidirect
33. C₂×C₅×#117	C₂²	semidirect
34. C₂×#4099	C₂²	semidirect
35. C₂²×C₂²⋊Dic₅	C₂²	semidirect
36. #66163	C₂²	semidirect
37. #66163	C₂²	semidirect
38. #66158	C₂²	semidirect
39. #66158	C₂²	semidirect
40. #66150	C₂²	semidirect
41. #66140	C₂²	semidirect
43. #66138	C₂²	semidirect
44. #66138	C₂²	semidirect
45. D₄×C₂²⋊D₅	C₂²	semidirect
46. #66132	C₂²	semidirect
47. #66125	C₂²	semidirect
48. #66125	C₂²	semidirect
49. #66125	C₂²	semidirect
50. #66125	C₂²	semidirect
51. #66125	C₂²	semidirect
52. C₂×#4076	C₂²	semidirect
53. C₂×#4075	C₂²	semidirect
54. C₂×#4075	C₂²	semidirect
55. C₂×#4075	C₂²	semidirect
56. C₂×#4075	C₂²	semidirect
57. C₂×#4075	C₂²	semidirect
58. C₂×#4075	C₂²	semidirect
59. C₂×#4075	C₂²	semidirect
60. C₂×#4075	C₂²	semidirect
61. C₂×#4075	C₂²	semidirect
62. C₂×C₄×C₂²⋊D₅	C₂²	semidirect
63. C₂²×#685	C₂²	semidirect
64. C₂×#4072	C₂²	semidirect
65. C₂×#4070	C₂²	semidirect
66. C₂²×#683	C₂²	semidirect
67. #65999	C₂²	semidirect
68. #65992	C₂²	semidirect
69. #65990	C₂²	semidirect
70. #65989	C₂²	semidirect
71. #65988	C₂²	semidirect
72. #65987	C₂²	semidirect
73. D₅×#123	C₂²	semidirect
74. #65984	C₂²	semidirect
75. #65983	C₂²	semidirect
76. #65982	C₂²	semidirect
77. #65981	C₂²	semidirect
78. #65980	C₂²	semidirect
79. #65979	C₂²	semidirect
80. #65978	C₂²	semidirect
81. #65974	C₂²	semidirect
82. #65972	C₂²	semidirect
83. #65971	C₂²	semidirect
84. #65970	C₂²	semidirect
85. #65968	C₂²	semidirect
86. #65957	C₂²	semidirect
87. #65955	C₂²	semidirect
88. #65954	C₂²	semidirect
89. #65951	C₂²	semidirect
90. #65949	C₂²	semidirect
91. #65947	C₂²	semidirect
92. #65944	C₂²	semidirect
93. #65939	C₂²	semidirect
94. #65936	C₂²	semidirect
95. #65935	C₂²	semidirect
96. #65931	C₂²	semidirect
97. #65927	C₂²	semidirect
98. #65926	C₂²	semidirect
99. #65925	C₂²	semidirect
100. #65925	C₂²	semidirect
101. #65924	C₂²	semidirect
102. #65923	C₂²	semidirect
103. D₅×#120	C₂²	semidirect
104. #65921	C₂²	semidirect
105. #65920	C₂²	semidirect
106. #65920	C₂²	semidirect
107. #65898	C₂²	semidirect
108. #65898	C₂²	semidirect
109. #65896	C₂²	semidirect
110. #65895	C₂²	semidirect
111. #65894	C₂²	semidirect
112. #65894	C₂²	semidirect
113. #65893	C₂²	semidirect
114. #65892	C₂²	semidirect
115. #65890	C₂²	semidirect
116. #65890	C₂²	semidirect
117. #65888	C₂²	semidirect
118. #65880	C₂²	semidirect
119. #65879	C₂²	semidirect
120. #65874	C₂²	semidirect
121. #65874	C₂²	semidirect
122. #65873	C₂²	semidirect
123. #65865	C₂²	semidirect
124. #65865	C₂²	semidirect
125. #65861	C₂²	semidirect
126. #65861	C₂²	semidirect
127. #65849	C₂²	semidirect
128. #65847	C₂²	semidirect
129. #65841	C₂²	semidirect
130. #65829	C₂²	semidirect
131. #65829	C₂²	semidirect
133. #65824	C₂²	semidirect
134. #65824	C₂²	semidirect
135. #65820	C₂²	semidirect
136. #65820	C₂²	semidirect
137. #65817	C₂²	semidirect
138. #65813	C₂²	semidirect
144. C₂×C₅×#41	C₂³	semidirect
145. C₂²×C₅×Q₈	C₂³	semidirect
148. C₂²×C₅×D₄	C₂³	semidirect
158. C₂³×C₄×C₅	C₂³	semidirect
179. C₂×#709	C₂³	semidirect
180. C₂²×D₂₀	C₂³	semidirect
181. C₂²×C₄×D₅	C₂³	semidirect
182. C₂²×Dic₁₀	C₂³	semidirect
184. C₅×#123	C₂³	semidirect
185. C₅×#123	C₂³	semidirect
188. C₅×C₂²⋊Q₈	C₂³	semidirect
189. C₅×C₂²⋊Q₈	C₂³	semidirect
192. C₅×#121	C₂³	semidirect
193. C₅×#121	C₂³	semidirect
199. C₄×C₅×D₄	C₂³	semidirect
200. C₄×C₅×D₄	C₂³	semidirect
202. C₅×#117	C₂³	semidirect
203. C₂×C₅×C₄⋊C₄	C₂³	semidirect
204. C₂×C₅×C₄⋊C₄	C₂³	semidirect
207. C₂×C₅×C₂²⋊C₄	C₂³	semidirect
208. C₂×C₄²×C₅	C₂³	semidirect
213. #4099	C₂³	semidirect
220. C₂×C₂²⋊Dic₅	C₂³	semidirect
221. #4093	C₂³	semidirect
222. #4092	C₂³	semidirect
223. #4092	C₂³	semidirect
224. #4090	C₂³	semidirect
231. #4085	C₂³	semidirect
232. #4085	C₂³	semidirect
233. #4085	C₂³	semidirect
235. #4084	C₂³	semidirect
239. #4083	C₂³	semidirect
240. #4083	C₂³	semidirect
241. #4082	C₂³	semidirect
244. #4081	C₂³	semidirect
245. #4081	C₂³	semidirect
246. #4081	C₂³	semidirect
250. D₄×Dic₅	C₂³	semidirect
254. #4076	C₂³	semidirect
255. #4076	C₂³	semidirect
256. #4076	C₂³	semidirect
269. #4075	C₂³	semidirect
270. #4075	C₂³	semidirect
271. #4075	C₂³	semidirect
272. #4075	C₂³	semidirect
273. #4075	C₂³	semidirect
277. C₄×C₂²⋊D₅	C₂³	semidirect
278. C₄×C₂²⋊D₅	C₂³	semidirect
279. C₄×C₂²⋊D₅	C₂³	semidirect
280. C₄×C₂²⋊D₅	C₂³	semidirect
281. C₄×C₂²⋊D₅	C₂³	semidirect
288. C₂×#685	C₂³	semidirect
289. C₂×#685	C₂³	semidirect
291. #4072	C₂³	semidirect
292. #4072	C₂³	semidirect
293. C₂×C₄⋊Dic₅	C₂³	semidirect
296. #4070	C₂³	semidirect
297. #4070	C₂³	semidirect
298. #4070	C₂³	semidirect
299. #4070	C₂³	semidirect
306. C₂×#683	C₂³	semidirect
307. C₂×#683	C₂³	semidirect
308. C₂×C₄×Dic₅	C₂³	semidirect
309. #4044	C₂³	semidirect
310. #4044	C₂³	semidirect
311. #4044	C₂³	semidirect
312. #4044	C₂³	semidirect
313. #4043	C₂³	semidirect
314. #4042	C₂³	semidirect
315. #4042	C₂³	semidirect
316. #4042	C₂³	semidirect
317. #4042	C₂³	semidirect
318. #4041	C₂³	semidirect
319. #4040	C₂³	semidirect
320. #4040	C₂³	semidirect
321. #4040	C₂³	semidirect
322. #4040	C₂³	semidirect
323. #4039	C₂³	semidirect
324. #4038	C₂³	semidirect
325. D₅×C₄⋊C₄	C₂³	semidirect
326. #4036	C₂³	semidirect
327. #4035	C₂³	semidirect
328. #4035	C₂³	semidirect
329. #4035	C₂³	semidirect
330. #4035	C₂³	semidirect
331. #4034	C₂³	semidirect
332. #4033	C₂³	semidirect
336. #4032	C₂³	semidirect
338. #4031	C₂³	semidirect
339. #4031	C₂³	semidirect
340. #4031	C₂³	semidirect
343. #4030	C₂³	semidirect
344. #4030	C₂³	semidirect
346. #4029	C₂³	semidirect
347. #4029	C₂³	semidirect
348. #4029	C₂³	semidirect
352. #4028	C₂³	semidirect
357. #4027	C₂³	semidirect
358. #4027	C₂³	semidirect
361. D₅×C₂²⋊C₄	C₂³	semidirect
362. D₅×C₂²⋊C₄	C₂³	semidirect
363. #4025	C₂³	semidirect
364. #4025	C₂³	semidirect
365. #4025	C₂³	semidirect
366. #4025	C₂³	semidirect
370. #4024	C₂³	semidirect
371. #4024	C₂³	semidirect
372. #4024	C₂³	semidirect
375. #4023	C₂³	semidirect
376. #4023	C₂³	semidirect
377. #4022	C₂³	semidirect
378. #4022	C₂³	semidirect
379. #4021	C₂³	semidirect
380. C₄×D₂₀	C₂³	semidirect
381. #4018	C₂³	semidirect
382. #4018	C₂³	semidirect
383. #4016	C₂³	semidirect
384. C₄×Dic₁₀	C₂³	semidirect
401. C₂×#525	D₅	semidirect
565. C₂²×#41	C₂×D₅	semidirect
567. C₂⁴×C₄	C₂×D₅	semidirect
649. #525	C₂×D₅	semidirect
650. #525	C₂×D₅	semidirect
651. #525	C₂×D₅	semidirect
652. #525	C₂×D₅	semidirect
663. C₂×#123	C₂×D₅	semidirect
665. C₂×C₂²⋊Q₈	C₂×D₅	semidirect
667. C₂×#121	C₂×D₅	semidirect
670. C₂×#120	C₂×D₅	semidirect
677. C₂×C₄×D₄	C₂×D₅	semidirect
679. C₂×#117	C₂×D₅	semidirect
794. C₂×#41	C₂²×D₅	semidirect
796. C₂²×Q₈	C₂²×D₅	semidirect
811. C₂²×D₄	C₂²×D₅	semidirect
824. C₂³×C₄	C₂²×D₅	semidirect
886. #123	C₂²×D₅	semidirect
887. #123	C₂²×D₅	semidirect
909. C₂²⋊Q₈	C₂²×D₅	semidirect
910. C₂²⋊Q₈	C₂²×D₅	semidirect
934. #121	C₂²×D₅	semidirect
935. #121	C₂²×D₅	semidirect
977. C₄×D₄	C₂²×D₅	semidirect
978. C₄×D₄	C₂²×D₅	semidirect
990. #117	C₂²×D₅	semidirect
1001. C₂×C₄⋊C₄	C₂²×D₅	semidirect
1002. C₂×C₄⋊C₄	C₂²×D₅	semidirect
1024. C₂×C₂²⋊C₄	C₂²×D₅	semidirect
1026. C₂×C₄²	C₂²×D₅	semidirect
1335. C₅	#62820	semidirect

Maximal subgroups

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

subgroup	index
C₂×C₅×#525	2
#10619174	2
C₂×#66125	2
C₂²×#4075	2
#10617951	2
#10617950	2
#10617946	2
#10617944	2
#10617931	2
#10617926	2
#10617913	2
#10617902	2
#10617890	2
#10617855	2
#10617820	2
#10617814	2
#10617690	2
#10617646	2
#62820	5