Subgroups — #12984009

Order 1280.

2282 conjugacy classes of subgroups.

The subgroup lattice has 1942 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10618763	C₂	1	1	yes	maximal, characteristic, complemented
2	D₅×#546	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#3296	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615329	C₂	1	1	yes	maximal, characteristic, complemented
5	#10615236	C₂	1	1	yes	maximal, characteristic, complemented
6	#10613384	C₂	1	1	yes	maximal, characteristic, complemented
7	#10613373	C₂	1	1	yes	maximal, characteristic, complemented
8	#10613176	C₂	1	1	yes	maximal, characteristic, complemented
9	#10613173	C₂	1	1	yes	maximal, characteristic, complemented
10	#10613113	C₂	1	1	yes	maximal, characteristic, complemented
11	#10613109	C₂	1	1	yes	maximal, characteristic, complemented
12	#10612918	C₂	1	1	yes	maximal, characteristic, complemented
13	#10612872	C₂	1	1	yes	maximal, characteristic, complemented
14	#10612504	C₂	1	1	yes	maximal, characteristic, complemented
15	#10612494	C₂	1	1	yes	maximal, characteristic, complemented
16	#10612409	C₂	1	1	yes	maximal, characteristic, complemented
17	#10612395	C₂	1	1	yes	maximal, characteristic, complemented
18	#10612361	C₂	1	1	yes	maximal, characteristic, complemented
19	#10612336	C₂	1	1	yes	maximal, characteristic, complemented
20	#10611975	C₂	1	1	yes	maximal, characteristic, complemented
21	#10611957	C₂	1	1	yes	maximal, characteristic, complemented
22	#10611899	C₂	1	1	yes	maximal, characteristic, complemented
23	D₅×#450	C₂	1	1	yes	maximal, characteristic, complemented
24	#10611405	C₂	1	1	yes	maximal, characteristic, complemented
25	#10611385	C₂	1	1	yes	maximal, characteristic, complemented
26	#10611164	C₂	1	1	yes	maximal, characteristic, complemented
27	#10611157	C₂	1	1	yes	maximal, characteristic, complemented
28	#10610577	C₂	1	1	yes	maximal, characteristic, complemented
29	#10610564	C₂	1	1	yes	maximal, characteristic, complemented
30	#10610490	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#65062	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×D₅×#41	C₂²	1	1	yes	characteristic, complemented
33	C₂²×D₄×D₅	C₂²	1	1	yes	characteristic
34	C₅×#552	C₂²	1	1	yes	characteristic, complemented
35	C₅×#546	C₂²	1	1	yes	characteristic
36	#66163	C₂²	1	1	yes	characteristic, complemented
37	C₂×#4096	C₂²	1	1	yes	characteristic, complemented
38	#66140	C₂²	1	1	yes	characteristic
39	C₂²×#686	C₂²	1	1	yes	characteristic, complemented
40	C₂×#4065	C₂²	1	1	yes	characteristic, complemented
41	C₂×#4062	C₂²	1	1	yes	characteristic, complemented
42	C₂×D₅×SD₁₆	C₂²	1	1	yes	characteristic, complemented
43	C₂×D₅×SD₁₆	C₂²	1	1	yes	characteristic, complemented
44	C₂×#4050	C₂²	1	1	yes	characteristic, complemented
45	C₂²×D₄₀	C₂²	1	1	yes	characteristic, complemented
46	#66043	—	2	1	no	—
47	#66038	—	2	1	no	—
48	#66029	—	2	1	no	—
49	#66029	C₂²	1	1	yes	characteristic, complemented
50	#66026	—	2	1	no	—
51	#66025	C₂²	1	1	yes	characteristic, complemented
52	#66010	C₂²	1	1	yes	characteristic, complemented
53	D₅×#124	C₂²	1	1	yes	characteristic, complemented
54	#65992	—	2	1	no	—
55	#65988	—	2	1	no	—
56	#65987	—	2	1	no	—
57	D₅×#123	—	2	1	no	—
58	#65967	C₂²	1	1	yes	characteristic, complemented
59	#65964	C₂²	1	1	yes	characteristic
60	#65964	C₂²	1	1	yes	characteristic, complemented
61	#65961	C₂²	1	1	yes	characteristic, complemented
62	D₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
63	D₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
64	#65946	C₂²	1	1	yes	characteristic, complemented
65	#65944	—	2	1	no	—
66	D₅×#121	—	2	1	no	—
67	D₅×#121	C₂²	1	1	yes	characteristic, complemented
68	#65925	—	2	1	no	—
69	D₅×#120	—	2	1	no	—
70	#65914	C₂²	1	1	yes	characteristic, complemented
71	#65910	C₂²	1	1	yes	characteristic, complemented
72	#65888	C₂²	1	1	yes	characteristic, complemented
73	#65884	C₂²	1	1	yes	characteristic
74	#65884	C₂²	1	1	yes	characteristic, complemented
75	C₄×D₄×D₅	C₂²	1	1	yes	characteristic
76	C₄×D₄×D₅	C₂²	1	1	yes	characteristic, complemented
77	#65864	C₂²	1	1	yes	characteristic, complemented
78	#65861	—	2	1	no	—
79	#65858	C₂²	1	1	yes	characteristic, complemented
80	#65855	—	2	1	no	—
81	#65847	C₂²	1	1	yes	characteristic, complemented
82	C₂×#4041	C₂²	1	1	yes	characteristic
83	#65824	—	2	1	no	—
84	C₂×D₅×C₂²⋊C₄	—	2	1	no	—
85	C₅×#488	C₂²	1	1	yes	characteristic, complemented
86	C₅×#483	C₂²	1	1	yes	characteristic, complemented
87	C₅×#482	C₂²	1	1	yes	characteristic, complemented
88	C₅×#478	C₂²	1	1	yes	characteristic, complemented
89	C₅×#467	C₂²	1	1	yes	characteristic, complemented
90	C₅×#465	C₂²	1	1	yes	characteristic, complemented
91	C₅×#464	C₂²	1	1	yes	characteristic, complemented
92	C₅×#452	C₂²	1	1	yes	characteristic, complemented
93	C₅×#450	C₂²	1	1	yes	characteristic, complemented
94	C₄×C₅×SD₁₆	C₂²	1	1	yes	characteristic, complemented
95	C₅×C₈×D₄	C₂²	1	1	yes	characteristic, complemented
96	C₅×#416	C₂²	1	1	yes	characteristic, complemented
97	C₂×C₅×#102	C₂²	1	1	yes	characteristic, complemented
98	#65527	C₂²	1	1	yes	characteristic, complemented
99	#65507	C₂²	1	1	yes	characteristic, complemented
100	#65480	C₂²	1	1	yes	characteristic, complemented
101	#65475	C₂²	1	1	yes	characteristic, complemented
102	#65475	C₂²	1	1	yes	characteristic, complemented
103	#65461	C₂²	1	1	yes	characteristic, complemented
104	#65458	C₂²	1	1	yes	characteristic, complemented
105	#65458	C₂²	1	1	yes	characteristic, complemented
106	#65457	C₂²	1	1	yes	characteristic, complemented
107	#65454	C₂²	1	1	yes	characteristic, complemented
108	#65405	C₂²	1	1	yes	characteristic, complemented
109	#65404	C₂²	1	1	yes	characteristic, complemented
110	C₈×C₂²⋊D₅	C₂²	1	1	yes	characteristic, complemented
111	C₈×C₂²⋊D₅	C₂²	1	1	yes	characteristic, complemented
112	C₂×#3952	C₂²	1	1	yes	characteristic
113	C₂×#3952	C₂²	1	1	yes	characteristic, complemented
114	#65357	C₂²	1	1	yes	characteristic, complemented
115	#65355	C₂²	1	1	yes	characteristic, complemented
116	#65348	C₂²	1	1	yes	characteristic, complemented
117	#65346	C₂²	1	1	yes	characteristic, complemented
118	#65340	C₂²	1	1	yes	characteristic, complemented
119	#65340	C₂²	1	1	yes	characteristic, complemented
120	#65337	C₂²	1	1	yes	characteristic, complemented
121	#65336	C₂²	1	1	yes	characteristic, complemented
122	#65335	C₂²	1	1	yes	characteristic, complemented
123	#65335	C₂²	1	1	yes	characteristic, complemented
124	#65327	C₂²	1	1	yes	characteristic, complemented
125	#65326	C₂²	1	1	yes	characteristic, complemented
126	#65317	C₂²	1	1	yes	characteristic, complemented
127	C₄×#688	C₂²	1	1	yes	characteristic, complemented
128	#65305	C₂²	1	1	yes	characteristic, complemented
129	C₄×#686	C₂²	1	1	yes	characteristic, complemented
130	D₄×#168	C₂²	1	1	yes	characteristic, complemented
131	#65292	C₂²	1	1	yes	characteristic, complemented
132	#65291	C₂²	1	1	yes	characteristic, complemented
133	#65260	C₂²	1	1	yes	characteristic, complemented
134	C₂×#3941	C₂²	1	1	yes	characteristic, complemented
135	#65173	C₂²	1	1	yes	characteristic, complemented
136	#65173	C₂²	1	1	yes	characteristic, complemented
137	#65172	C₂²	1	1	yes	characteristic, complemented
138	#65161	C₂²	1	1	yes	characteristic, complemented
139	#65160	C₂²	1	1	yes	characteristic, complemented
140	#65155	C₂²	1	1	yes	characteristic, complemented
141	#65153	C₂²	1	1	yes	characteristic, complemented
142	#65153	C₂²	1	1	yes	characteristic, complemented
143	#65153	C₂²	1	1	yes	characteristic, complemented
144	#65152	C₂²	1	1	yes	characteristic, complemented
145	#65152	C₂²	1	1	yes	characteristic, complemented
146	#65141	C₂²	1	1	yes	characteristic, complemented
147	#65133	C₂²	1	1	yes	characteristic, complemented
148	#65133	C₂²	1	1	yes	characteristic, complemented
149	#65123	C₂²	1	1	yes	characteristic, complemented
150	#65122	C₂²	1	1	yes	characteristic, complemented
151	#65108	C₂²	1	1	yes	characteristic, complemented
152	#65108	C₂²	1	1	yes	characteristic, complemented
153	#65100	C₂²	1	1	yes	characteristic, complemented
154	#65100	C₂²	1	1	yes	characteristic, complemented
155	#65099	C₂²	1	1	yes	characteristic, complemented
156	#65098	C₂²	1	1	yes	characteristic, complemented
157	#65098	C₂²	1	1	yes	characteristic, complemented
158	#65097	C₂²	1	1	yes	characteristic, complemented
159	#65097	C₂²	1	1	yes	characteristic, complemented
160	#65096	C₂²	1	1	yes	characteristic, complemented
161	#65096	C₂²	1	1	yes	characteristic, complemented
162	#65095	C₂²	1	1	yes	characteristic, complemented
163	#65095	C₂²	1	1	yes	characteristic, complemented
164	#65093	C₂²	1	1	yes	characteristic, complemented
165	#65089	C₂²	1	1	yes	characteristic, complemented
166	#65087	C₂²	1	1	yes	characteristic, complemented
167	#65076	C₂²	1	1	yes	characteristic, complemented
168	#65073	C₂²	1	1	yes	characteristic, complemented
169	#65072	C₂²	1	1	yes	characteristic, complemented
170	#65070	C₂²	1	1	yes	characteristic, complemented
171	#65067	C₂²	1	1	yes	characteristic, complemented
172	#65065	C₂²	1	1	yes	characteristic, complemented
173	#65065	C₂²	1	1	yes	characteristic, complemented
174	#65064	C₂²	1	1	yes	characteristic, complemented
175	#65062	C₂²	1	1	yes	characteristic
176	#65062	C₂²	1	1	yes	characteristic
177	#65062	C₂²	1	1	yes	characteristic
178	#65062	C₂²	1	1	yes	characteristic
179	#65062	C₂²	1	1	yes	characteristic, complemented
180	#65062	C₂²	1	1	yes	characteristic, complemented
181	#65062	C₂²	1	1	yes	characteristic, complemented
182	#65062	C₂²	1	1	yes	characteristic, complemented
183	#65061	C₂²	1	1	yes	characteristic, complemented
184	D₅×#102	C₂²	1	1	yes	characteristic, complemented
185	D₅×#102	C₂²	1	1	yes	characteristic, complemented
186	#65057	C₂²	1	1	yes	characteristic, complemented
187	#65056	C₂²	1	1	yes	characteristic, complemented
188	#65055	C₂²	1	1	yes	characteristic, complemented
189	#65047	C₂²	1	1	yes	characteristic, complemented
190	#65045	C₂²	1	1	yes	characteristic, complemented
191	#65023	C₂²	1	1	yes	characteristic, complemented
192	#65023	C₂²	1	1	yes	characteristic, complemented
193	#65020	C₂²	1	1	yes	characteristic, complemented
194	#65020	C₂²	1	1	yes	characteristic, complemented
195	#65014	C₂²	1	1	yes	characteristic, complemented
196	#65014	C₂²	1	1	yes	characteristic, complemented
197	D₅×C₂²⋊C₈	C₂²	1	1	yes	characteristic
198	D₅×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
199	#64985	C₂²	1	1	yes	characteristic, complemented
200	C₄×D₄₀	C₂²	1	1	yes	characteristic, complemented
201	C₈×D₂₀	C₂²	1	1	yes	characteristic, complemented
202	#64974	C₂²	1	1	yes	characteristic, complemented
203	#61561	—	5	1	no	maximal, Sylow
204	C₂⁴×D₅	—	2	1	no	—
205	C₂×C₅×#41	C₂³	1	1	yes	characteristic
206	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
207	C₂²×C₂²⋊D₅	—	2	1	no	—
208	D₅×#41	—	4	2	no	—
209	D₅×#41	—	4	2	no	—
210	C₂×#713	C₂³	1	1	yes	characteristic
211	C₂×#713	C₂³	1	1	yes	characteristic, complemented
212	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
213	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
214	C₂×#711	—	2	1	no	—
215	C₂×#711	C₂³	1	1	yes	characteristic
216	C₂×D₄×D₅	—	2	1	no	—
217	C₂×D₄×D₅	—	2	1	no	—
218	C₂×D₄×D₅	—	2	1	no	—
219	C₂×D₄×D₅	—	2	1	no	—
220	C₂×D₄×D₅	—	4	2	no	—
221	C₂×D₄×D₅	—	4	2	no	—
222	C₂×D₄×D₅	D₄	1	1	yes	characteristic
223	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
224	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
225	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
226	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
227	C₂×#709	—	2	1	no	—
228	C₂×#709	C₂³	1	1	yes	characteristic
229	C₂×#709	C₂³	1	1	yes	characteristic, complemented
230	C₂²×D₂₀	—	2	1	no	—
231	C₂²×D₂₀	C₂³	1	1	yes	characteristic
232	C₂²×D₂₀	C₂³	1	1	yes	characteristic
233	C₂²×C₄×D₅	—	2	1	no	—
234	C₂²×C₄×D₅	—	2	1	no	—
235	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
236	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
237	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic, complemented
238	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
239	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
240	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
241	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic, complemented
242	C₅×#126	—	2	1	no	—
243	C₅×#125	—	2	1	no	—
244	C₅×#125	C₂³	1	1	yes	characteristic, complemented
245	C₅×#124	C₂³	1	1	yes	characteristic
246	C₅×#123	—	2	1	no	—
247	C₅×#123	—	2	1	no	—
248	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
249	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
250	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic, complemented
251	C₅×#121	—	2	1	no	—
252	C₅×#121	C₂³	1	1	yes	characteristic
253	C₅×#120	—	2	1	no	—
254	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic, complemented
255	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
256	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
257	C₅×#117	—	2	1	no	—
258	C₅×#117	C₂³	1	1	yes	characteristic, complemented
259	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
260	C₂×C₅×C₂²⋊C₄	—	2	1	no	—
261	#4099	—	2	1	no	—
262	C₂×C₂²⋊Dic₅	—	2	1	no	—
263	#4096	—	4	2	no	—
264	#4093	C₂³	1	1	yes	characteristic
265	#4093	C₂³	1	1	yes	characteristic, complemented
266	#4092	C₂³	1	1	yes	characteristic
267	#4092	C₂³	1	1	yes	characteristic
268	C₂×#689	C₂³	1	1	yes	characteristic, complemented
269	C₂×#689	C₂³	1	1	yes	characteristic, complemented
270	C₂×#688	C₂³	1	1	yes	characteristic
271	C₂×#688	C₂³	1	1	yes	characteristic
272	C₂×#688	C₂³	1	1	yes	characteristic, complemented
273	C₂×#688	C₂³	1	1	yes	characteristic, complemented
274	#4085	—	2	1	no	—
275	#4085	—	2	1	no	—
276	#4085	—	2	1	no	—
277	#4084	—	2	1	no	—
278	#4084	C₂³	1	1	yes	characteristic
279	#4083	—	2	1	no	—
280	#4083	—	2	1	no	—
281	#4083	—	2	1	no	—
282	#4083	—	2	1	no	—
283	#4082	C₂³	1	1	yes	characteristic
284	#4081	—	2	1	no	—
285	D₄×Dic₅	D₄	1	1	yes	characteristic
286	D₄×Dic₅	C₂³	1	1	yes	characteristic
287	C₂×#687	C₂³	1	1	yes	characteristic
288	C₂×#687	C₂³	1	1	yes	characteristic
289	C₂×#686	—	4	2	no	—
290	C₂×#686	C₂³	1	1	yes	characteristic
291	C₂×#686	C₂³	1	1	yes	characteristic
292	C₂×#686	C₂³	1	1	yes	characteristic
293	C₂×#686	C₂³	1	1	yes	characteristic
294	#4076	—	2	1	no	—
295	#4076	C₂³	1	1	yes	characteristic
296	#4076	C₂³	1	1	yes	characteristic, complemented
297	#4075	—	2	1	no	—
298	#4075	—	2	1	no	—
299	C₄×C₂²⋊D₅	—	2	1	no	—
300	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
301	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
302	C₂×#685	—	2	1	no	—
303	C₂×#685	—	2	1	no	—
304	C₂×#685	—	2	1	no	—
305	#4072	—	2	1	no	—
306	#4070	C₂³	1	1	yes	characteristic
307	#4070	C₂³	1	1	yes	characteristic
308	C₂²×#168	C₂³	1	1	yes	characteristic
309	C₂²×#168	C₂³	1	1	yes	characteristic, complemented
310	#4065	—	4	2	no	—
311	#4062	—	4	2	no	—
312	D₅×SD₁₆	—	4	2	no	—
313	D₅×SD₁₆	—	4	2	no	—
314	C₂×Dic₂₀	C₂³	1	1	yes	characteristic, complemented
315	#4050	—	4	2	no	—
316	C₂×D₄₀	—	4	2	no	—
317	C₂×D₄₀	C₂³	1	1	yes	characteristic
318	C₂×D₄₀	C₂³	1	1	yes	characteristic
319	C₂×D₄₀	C₂³	1	1	yes	characteristic
320	C₂×D₄₀	C₂³	1	1	yes	characteristic
321	C₂×#677	C₂³	1	1	yes	characteristic
322	C₂×#677	C₂³	1	1	yes	characteristic
323	C₂×#677	C₂³	1	1	yes	characteristic, complemented
324	C₂×#677	C₂³	1	1	yes	characteristic, complemented
325	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
326	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
327	C₂×C₈×D₅	C₂³	1	1	yes	characteristic, complemented
328	C₂×C₈×D₅	C₂³	1	1	yes	characteristic, complemented
329	#4044	—	2	1	no	—
330	#4044	—	2	1	no	—
331	#4044	—	2	1	no	—
332	#4044	—	2	1	no	—
333	#4043	—	2	1	no	—
334	#4043	C₂³	1	1	yes	characteristic
335	#4043	C₂³	1	1	yes	characteristic
336	#4043	C₂³	1	1	yes	characteristic, complemented
337	#4042	—	2	1	no	—
338	#4042	—	2	1	no	—
339	#4042	—	2	1	no	—
340	#4041	—	2	1	no	—
341	#4041	—	2	1	no	—
342	#4041	—	2	1	no	—
343	#4041	—	2	1	no	—
344	#4041	—	2	1	no	—
345	#4041	—	2	1	no	—
346	#4041	C₂³	1	1	yes	characteristic
347	#4041	C₂³	1	1	yes	characteristic
348	#4041	C₂³	1	1	yes	characteristic
349	#4041	C₂³	1	1	yes	characteristic
350	#4041	C₂³	1	1	yes	characteristic
351	#4041	C₂³	1	1	yes	characteristic, complemented
352	#4040	—	2	1	no	—
353	#4040	—	2	1	no	—
354	#4040	—	2	1	no	—
355	#4040	—	2	1	no	—
356	#4040	—	2	1	no	—
357	#4040	—	2	1	no	—
358	#4040	—	2	1	no	—
359	#4040	—	2	1	no	—
360	#4039	—	2	1	no	—
361	#4039	—	2	1	no	—
362	#4039	—	2	1	no	—
363	#4039	—	2	1	no	—
364	#4039	D₄	1	1	yes	characteristic
365	#4039	C₂³	1	1	yes	characteristic
366	#4039	C₂³	1	1	yes	characteristic, complemented
367	#4038	—	2	1	no	—
368	#4038	C₂³	1	1	yes	characteristic, complemented
369	D₅×C₄⋊C₄	—	2	1	no	—
370	D₅×C₄⋊C₄	—	2	1	no	—
371	D₅×C₄⋊C₄	D₄	1	1	yes	characteristic
372	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
373	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
374	#4036	C₂³	1	1	yes	characteristic, complemented
375	#4035	—	2	1	no	—
376	#4033	C₂³	1	1	yes	characteristic, complemented
377	#4032	—	2	1	no	—
378	#4032	—	2	1	no	—
379	#4031	—	2	1	no	—
380	#4031	—	2	1	no	—
381	#4031	—	2	1	no	—
382	#4030	—	2	1	no	—
383	#4030	—	2	1	no	—
384	#4030	—	2	1	no	—
385	#4030	—	2	1	no	—
386	#4030	—	2	1	no	—
387	#4030	—	2	1	no	—
388	#4029	—	2	1	no	—
389	#4029	—	2	1	no	—
390	#4029	—	2	1	no	—
391	#4028	—	2	1	no	—
392	#4028	—	2	1	no	—
393	#4028	—	2	1	no	—
394	#4028	—	2	1	no	—
395	#4028	—	2	1	no	—
396	#4028	—	2	1	no	—
397	#4027	—	2	1	no	—
398	#4027	—	2	1	no	—
399	#4027	D₄	1	1	yes	characteristic
400	#4027	D₄	1	1	yes	characteristic
401	D₅×C₂²⋊C₄	—	2	1	no	—
402	D₅×C₂²⋊C₄	—	2	1	no	—
403	D₅×C₂²⋊C₄	—	2	1	no	—
404	D₅×C₂²⋊C₄	—	2	1	no	—
405	D₅×C₂²⋊C₄	—	2	1	no	—
406	D₅×C₂²⋊C₄	—	2	1	no	—
407	D₅×C₂²⋊C₄	—	2	1	no	—
408	D₅×C₂²⋊C₄	—	2	1	no	—
409	D₅×C₂²⋊C₄	—	2	1	no	—
410	D₅×C₂²⋊C₄	—	2	1	no	—
411	D₅×C₂²⋊C₄	—	2	1	no	—
412	D₅×C₂²⋊C₄	—	2	1	no	—
413	D₅×C₂²⋊C₄	D₄	1	1	yes	characteristic
414	D₅×C₂²⋊C₄	D₄	1	1	yes	characteristic
415	#4024	—	2	1	no	—
416	#4024	—	2	1	no	—
417	#4022	—	2	1	no	—
418	#4021	—	2	1	no	—
419	#4021	C₂³	1	1	yes	characteristic
420	#4021	C₂³	1	1	yes	characteristic, complemented
421	C₄×D₂₀	—	2	1	no	—
422	C₄×D₂₀	—	2	1	no	—
423	C₄×D₂₀	—	2	1	no	—
424	C₄×D₂₀	—	2	1	no	—
425	C₄×D₂₀	—	2	1	no	—
426	C₄×D₂₀	C₂³	1	1	yes	characteristic
427	C₄×D₂₀	C₂³	1	1	yes	characteristic
428	C₄×D₂₀	C₂³	1	1	yes	characteristic, complemented
429	#4018	—	2	1	no	—
430	C₄²×D₅	C₂³	1	1	yes	characteristic
431	C₅×#107	C₂³	1	1	yes	characteristic, complemented
432	C₅×#106	C₂³	1	1	yes	characteristic, complemented
433	C₅×#106	C₂³	1	1	yes	characteristic, complemented
434	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic, complemented
435	C₅×#103	C₂³	1	1	yes	characteristic, complemented
436	C₅×#103	C₂³	1	1	yes	characteristic, complemented
437	C₅×#103	C₂³	1	1	yes	characteristic, complemented
438	C₅×#103	C₂³	1	1	yes	characteristic, complemented
439	C₅×#102	C₂³	1	1	yes	characteristic
440	C₅×#102	C₂³	1	1	yes	characteristic
441	C₅×#102	C₂³	1	1	yes	characteristic
442	C₅×#102	C₂³	1	1	yes	characteristic
443	C₅×#102	C₂³	1	1	yes	characteristic
444	C₅×#102	C₂³	1	1	yes	characteristic
445	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
446	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic, complemented
447	C₄×C₅×C₈	C₂³	1	1	yes	characteristic, complemented
448	#3967	C₂³	1	1	yes	characteristic, complemented
449	#3967	C₂³	1	1	yes	characteristic, complemented
450	#3964	C₂³	1	1	yes	characteristic
451	#3964	C₂³	1	1	yes	characteristic
452	C₂²⋊#168	C₂³	1	1	yes	characteristic
453	C₂²⋊#168	C₂³	1	1	yes	characteristic, complemented
454	#3953	C₂³	1	1	yes	characteristic
455	#3953	C₂³	1	1	yes	characteristic
456	#3953	C₂³	1	1	yes	characteristic, complemented
457	#3953	C₂³	1	1	yes	characteristic, complemented
458	#3952	C₂³	1	1	yes	characteristic
459	#3952	C₂³	1	1	yes	characteristic
460	#3952	C₂³	1	1	yes	characteristic
461	#3952	C₂³	1	1	yes	characteristic
462	#3952	C₂³	1	1	yes	characteristic
463	#3952	C₂³	1	1	yes	characteristic
464	#3952	C₂³	1	1	yes	characteristic, complemented
465	#3952	C₂³	1	1	yes	characteristic, complemented
466	#3950	C₂³	1	1	yes	characteristic, complemented
467	#3948	C₂³	1	1	yes	characteristic, complemented
468	#3948	C₂³	1	1	yes	characteristic, complemented
469	#3946	C₂³	1	1	yes	characteristic, complemented
470	#3946	C₂³	1	1	yes	characteristic, complemented
471	C₈×Dic₅	C₂³	1	1	yes	characteristic, complemented
472	C₈×Dic₅	C₂³	1	1	yes	characteristic, complemented
473	#3942	C₂³	1	1	yes	characteristic, complemented
474	#3942	C₂³	1	1	yes	characteristic, complemented
475	#3942	C₂³	1	1	yes	characteristic, complemented
476	#3942	C₂³	1	1	yes	characteristic, complemented
477	#3941	C₂³	1	1	yes	characteristic
478	#3941	C₂³	1	1	yes	characteristic
479	#3941	C₂³	1	1	yes	characteristic
480	#3941	C₂³	1	1	yes	characteristic
481	#3941	C₂³	1	1	yes	characteristic
482	#3941	C₂³	1	1	yes	characteristic
483	#3941	C₂³	1	1	yes	characteristic, complemented
484	#3941	C₂³	1	1	yes	characteristic, complemented
485	#3940	C₂³	1	1	yes	characteristic, complemented
486	#3940	C₂³	1	1	yes	characteristic, complemented
487	#3939	C₂³	1	1	yes	characteristic, complemented
488	#3939	C₂³	1	1	yes	characteristic, complemented
489	C₄⋊#168	C₂³	1	1	yes	characteristic, complemented
490	C₄×#168	C₂³	1	1	yes	characteristic, complemented
491	#3505	—	5	1	no	—
492	C₂×#546	—	5	1	no	—
493	#3297	—	5	1	no	—
494	#3297	—	5	1	no	—
495	#3297	—	5	1	no	—
496	#3297	—	5	1	no	—
497	#3296	—	5	1	no	—
498	#3296	—	5	1	no	—
499	#3296	—	5	1	no	—
500	#3296	D₅	1	1	yes	characteristic, complemented
501	#3282	—	5	1	no	—
502	#3282	—	5	1	no	—
503	#3282	—	5	1	no	—
504	#3282	—	5	1	no	—
505	#3280	—	5	1	no	—
506	#3280	—	5	1	no	—
507	#3280	—	5	1	no	—
508	#3280	—	5	1	no	—
509	#3211	—	5	1	no	—
510	#3211	—	5	1	no	—
511	#3189	—	5	1	no	—
512	#3188	—	5	1	no	—
513	#3188	—	5	1	no	—
514	#3187	—	5	1	no	—
515	#3105	—	5	1	no	—
516	#3105	—	5	1	no	—
517	#3002	—	5	1	no	—
518	#3002	—	5	1	no	—
519	C₂×#450	—	5	1	no	—
520	C₂×#447	—	5	1	no	—
521	#2972	—	5	1	no	—
522	C₂⁴×C₅	—	2	1	no	—
523	C₂³×D₅	—	2	1	no	—
524	C₂³×D₅	—	2	1	no	—
525	C₂³×D₅	—	2	1	no	—
526	C₂³×D₅	—	2	1	no	—
527	C₂³×D₅	—	2	1	no	—
528	C₂³×D₅	—	2	1	no	—
529	C₂³×D₅	—	4	4	no	—
530	C₂³×D₅	—	4	4	no	—
531	C₂³×D₅	—	8	2	no	—
532	C₂³×D₅	C₂×D₄	1	1	yes	characteristic
533	C₂³×D₅	C₂×D₄	1	1	yes	characteristic
534	C₅×#41	—	2	2	no	—
535	C₅×#41	—	4	1	no	—
536	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
537	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
538	C₂×C₅×D₄	—	2	2	no	—
539	C₂×C₅×D₄	—	2	1	no	—
540	C₂×C₅×D₄	—	2	1	no	—
541	C₂×C₅×D₄	—	2	1	no	—
542	C₂×C₅×D₄	—	4	1	no	—
543	C₂×C₅×D₄	C₂×D₄	1	1	yes	characteristic
544	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
545	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
546	C₂²×C₄×C₅	—	2	1	no	—
547	C₂²×C₄×C₅	—	2	1	no	—
548	C₂²×C₄×C₅	—	2	1	no	—
549	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
550	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
551	C₂×C₂²⋊D₅	—	2	1	no	—
552	C₂×C₂²⋊D₅	—	2	1	no	—
553	C₂×C₂²⋊D₅	—	2	1	no	—
554	C₂×C₂²⋊D₅	—	2	1	no	—
555	C₂×C₂²⋊D₅	—	2	1	no	—
556	C₂×C₂²⋊D₅	—	2	1	no	—
557	C₂×C₂²⋊D₅	—	2	1	no	—
558	C₂×C₂²⋊D₅	—	2	1	no	—
559	C₂×C₂²⋊D₅	—	2	1	no	—
560	C₂×C₂²⋊D₅	—	2	1	no	—
561	C₂×C₂²⋊D₅	—	4	4	no	—
562	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
563	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
564	C₂²×Dic₅	—	2	1	no	—
565	C₂²×Dic₅	—	2	1	no	—
566	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
567	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
568	#713	—	2	2	no	—
569	#713	—	4	1	no	—
570	#713	—	4	1	no	—
571	#713	—	4	1	no	—
572	Q₈×D₅	—	4	1	no	—
573	Q₈×D₅	—	4	1	no	—
574	Q₈×D₅	—	4	1	no	—
575	Q₈×D₅	—	4	1	no	—
576	#711	—	2	2	no	—
577	#711	—	4	1	no	—
578	#711	—	4	4	no	—
579	D₄×D₅	—	2	4	no	—
580	D₄×D₅	—	2	2	no	—
581	D₄×D₅	—	2	2	no	—
582	D₄×D₅	—	2	2	no	—
583	D₄×D₅	—	2	2	no	—
584	D₄×D₅	—	4	1	no	—
585	D₄×D₅	—	4	1	no	—
586	D₄×D₅	—	4	1	no	—
587	D₄×D₅	—	4	1	no	—
588	D₄×D₅	—	4	4	no	—
589	D₄×D₅	—	4	4	no	—
590	D₄×D₅	—	4	4	no	—
591	D₄×D₅	—	8	2	no	—
592	#709	—	2	2	no	—
593	#709	—	4	1	no	—
594	#709	—	4	1	no	—
595	#709	—	4	1	no	—
596	#709	—	4	4	no	—
597	C₂×D₂₀	—	2	2	no	—
598	C₂×D₂₀	—	2	1	no	—
599	C₂×D₂₀	—	2	1	no	—
600	C₂×D₂₀	—	2	1	no	—
601	C₂×D₂₀	—	2	1	no	—
602	C₂×D₂₀	—	2	1	no	—
603	C₂×D₂₀	—	2	1	no	—
604	C₂×D₂₀	—	2	1	no	—
605	C₂×D₂₀	—	2	1	no	—
606	C₂×D₂₀	—	2	1	no	—
607	C₂×D₂₀	—	2	1	no	—
608	C₂×D₂₀	—	4	1	no	—
609	C₂×D₂₀	—	4	1	no	—
610	C₂×D₂₀	—	4	1	no	—
611	C₂×D₂₀	—	4	4	no	—
612	C₂×D₂₀	C₂×D₄	1	1	yes	characteristic
613	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
614	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
615	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
616	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
617	C₂×C₄×D₅	—	2	1	no	—
618	C₂×C₄×D₅	—	2	1	no	—
619	C₂×C₄×D₅	—	2	1	no	—
620	C₂×C₄×D₅	—	2	1	no	—
621	C₂×C₄×D₅	—	2	1	no	—
622	C₂×C₄×D₅	—	2	1	no	—
623	C₂×C₄×D₅	—	2	1	no	—
624	C₂×C₄×D₅	—	2	1	no	—
625	C₂×C₄×D₅	—	2	1	no	—
626	C₂×C₄×D₅	—	2	1	no	—
627	C₂×C₄×D₅	—	2	1	no	—
628	C₂×C₄×D₅	—	2	1	no	—
629	C₂×C₄×D₅	—	4	1	no	—
630	C₂×C₄×D₅	—	4	1	no	—
631	C₂×C₄×D₅	—	4	1	no	—
632	C₂×C₄×D₅	—	4	1	no	—
633	C₂×C₄×D₅	—	4	4	no	—
634	C₂×C₄×D₅	—	8	2	no	—
635	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
636	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
637	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
638	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
639	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
640	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
641	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
642	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
643	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
644	C₂×Dic₁₀	—	2	1	no	—
645	C₂×Dic₁₀	—	2	1	no	—
646	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
647	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
648	C₅×Q₁₆	—	4	1	no	—
649	C₅×SD₁₆	—	2	2	no	—
650	C₅×SD₁₆	—	4	1	no	—
651	C₂×C₅×C₈	—	4	1	no	—
652	C₂×C₅×C₈	—	4	1	no	—
653	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
654	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
655	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
656	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
657	C₅×C₄⋊C₄	—	2	1	no	—
658	C₅×C₄⋊C₄	—	2	1	no	—
659	C₅×C₄⋊C₄	—	2	1	no	—
660	C₅×C₄⋊C₄	—	2	1	no	—
661	C₅×C₄⋊C₄	—	2	1	no	—
662	C₅×C₄⋊C₄	—	2	1	no	—
663	C₅×C₄⋊C₄	—	2	1	no	—
664	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
665	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
666	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
667	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
668	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
669	C₅×C₂²⋊C₄	—	2	1	no	—
670	C₅×C₂²⋊C₄	—	2	1	no	—
671	C₅×C₂²⋊C₄	—	2	1	no	—
672	C₅×C₂²⋊C₄	—	2	1	no	—
673	C₅×C₂²⋊C₄	—	2	1	no	—
674	C₅×C₂²⋊C₄	—	2	1	no	—
675	C₅×C₂²⋊C₄	—	2	1	no	—
676	C₅×C₂²⋊C₄	—	2	1	no	—
677	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
678	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
679	C₄²×C₅	—	2	1	no	—
680	C₄²×C₅	—	2	1	no	—
681	C₄²×C₅	C₂⁴	1	1	yes	characteristic
682	C₂²⋊Dic₅	—	2	1	no	—
683	C₂²⋊Dic₅	—	2	1	no	—
684	C₂²⋊Dic₅	—	2	1	no	—
685	C₂²⋊Dic₅	—	2	1	no	—
686	C₂²⋊Dic₅	—	2	1	no	—
687	C₂²⋊Dic₅	—	2	1	no	—
688	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
689	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
690	#689	—	4	1	no	—
691	#689	—	4	1	no	—
692	#688	—	2	2	no	—
693	#688	—	4	1	no	—
694	#688	—	4	1	no	—
695	#688	—	4	1	no	—
696	#687	—	2	2	no	—
697	#687	—	4	1	no	—
698	#686	—	2	2	no	—
699	#686	—	2	2	no	—
700	#686	—	4	1	no	—
701	#686	—	4	1	no	—
702	#685	—	2	1	no	—
703	#685	—	2	1	no	—
704	#685	—	2	1	no	—
705	#685	—	2	1	no	—
706	#685	—	2	1	no	—
707	#685	—	2	1	no	—
708	#685	—	2	1	no	—
709	#685	—	2	1	no	—
710	#685	—	2	1	no	—
711	#685	—	2	1	no	—
712	#685	—	2	1	no	—
713	#685	—	2	1	no	—
714	#685	—	2	1	no	—
715	#685	—	2	1	no	—
716	#685	—	2	1	no	—
717	#685	—	2	1	no	—
718	#685	—	2	1	no	—
719	#685	—	2	1	no	—
720	#685	—	2	1	no	—
721	#685	—	2	1	no	—
722	#685	—	2	1	no	—
723	#685	—	2	1	no	—
724	#685	—	2	1	no	—
725	#685	—	2	1	no	—
726	#685	—	2	1	no	—
727	#685	—	2	1	no	—
728	#685	C₂×D₄	1	1	yes	characteristic
729	#685	C₂×D₄	1	1	yes	characteristic
730	#685	C₂×D₄	1	1	yes	characteristic
731	#685	C₂×D₄	1	1	yes	characteristic
732	C₄⋊Dic₅	—	2	1	no	—
733	C₄⋊Dic₅	—	2	1	no	—
734	C₄⋊Dic₅	—	2	1	no	—
735	C₄⋊Dic₅	—	2	1	no	—
736	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
737	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
738	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
739	#683	—	2	1	no	—
740	#683	—	2	1	no	—
741	#683	—	2	1	no	—
742	#683	—	2	1	no	—
743	#683	—	2	1	no	—
744	#683	—	2	1	no	—
745	#683	—	2	1	no	—
746	#683	—	2	1	no	—
747	#683	C₂×D₄	1	1	yes	characteristic
748	#683	C₂×D₄	1	1	yes	characteristic
749	C₄×Dic₅	—	2	1	no	—
750	C₄×Dic₅	—	2	1	no	—
751	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
752	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
753	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
754	C₂×#168	—	4	1	no	—
755	C₂×#168	—	4	1	no	—
756	C₂×#168	C₂⁴	1	1	yes	characteristic
757	C₂×#168	C₂⁴	1	1	yes	characteristic
758	C₂×#168	C₂⁴	1	1	yes	characteristic
759	C₂×#168	C₂⁴	1	1	yes	characteristic
760	Dic₂₀	—	4	1	no	—
761	D₄₀	—	2	2	no	—
762	D₄₀	—	2	2	no	—
763	D₄₀	—	4	1	no	—
764	D₄₀	—	4	1	no	—
765	#677	—	2	2	no	—
766	#677	—	4	1	no	—
767	#677	—	4	1	no	—
768	#677	—	4	1	no	—
769	C₈×D₅	—	4	1	no	—
770	C₈×D₅	—	4	1	no	—
771	C₈×D₅	—	4	1	no	—
772	C₈×D₅	—	4	1	no	—
773	C₂²×#41	—	5	1	no	—
774	C₂³×D₄	—	5	1	no	—
775	C₂×#135	—	5	1	no	—
776	C₂×#135	—	5	1	no	—
777	C₂×#135	—	5	1	no	—
778	C₂×#135	—	5	1	no	—
779	C₂²×SD₁₆	—	5	1	no	—
780	C₂²×SD₁₆	—	5	1	no	—
781	C₂²×D₈	—	5	1	no	—
782	C₂²×D₈	—	5	1	no	—
783	#553	—	5	1	no	—
784	#553	—	5	1	no	—
785	#553	—	10	1	no	—
786	#553	—	10	1	no	—
787	#552	—	5	1	no	—
788	#552	C₂×D₅	1	1	yes	characteristic, complemented
789	#551	—	10	1	no	—
790	#551	—	10	1	no	—
791	#548	—	5	1	no	—
792	#548	—	5	1	no	—
793	#546	—	5	1	no	—
794	#546	—	5	1	no	—
795	#546	—	5	1	no	—
796	#546	—	5	1	no	—
797	#546	—	5	1	no	—
798	#546	—	5	1	no	—
799	#546	—	5	1	no	—
800	#546	—	5	1	no	—
801	#546	—	5	1	no	—
802	#546	—	10	1	no	—
803	#546	—	10	1	no	—
804	#546	—	10	1	no	—
805	#546	—	10	1	no	—
806	#546	C₂×D₅	1	1	yes	characteristic
807	#539	—	10	1	no	—
808	#538	—	10	1	no	—
809	#534	—	10	1	no	—
810	#529	—	5	1	no	—
811	#529	—	5	1	no	—
812	C₂×#124	—	5	1	no	—
813	#525	—	5	1	no	—
814	#525	—	5	1	no	—
815	C₂×#123	—	10	1	no	—
816	C₂×C₂²⋊Q₈	—	5	1	no	—
817	C₂×C₂²⋊Q₈	—	5	1	no	—
818	C₂×#121	—	5	1	no	—
819	C₂×#121	—	5	1	no	—
820	C₂×#121	—	10	1	no	—
821	C₂×#120	—	10	1	no	—
822	#518	—	10	1	no	—
823	C₂×C₄×D₄	—	5	1	no	—
824	C₂×C₄×D₄	—	5	1	no	—
825	C₂²×C₂²⋊C₄	—	10	1	no	—
826	#495	—	5	1	no	—
827	#495	—	5	1	no	—
828	#495	—	5	1	no	—
829	#495	—	5	1	no	—
830	#488	—	5	1	no	—
831	#488	—	5	1	no	—
832	#488	—	5	1	no	—
833	#488	C₂×D₅	1	1	yes	characteristic, complemented
834	#484	—	5	1	no	—
835	#484	—	5	1	no	—
836	#484	—	5	1	no	—
837	#484	—	5	1	no	—
838	#483	—	5	1	no	—
839	#483	C₂×D₅	1	1	yes	characteristic, complemented
840	#482	—	5	1	no	—
841	#482	—	5	1	no	—
842	#482	—	5	1	no	—
843	#482	C₂×D₅	1	1	yes	characteristic, complemented
844	#481	—	5	1	no	—
845	#481	—	5	1	no	—
846	#478	—	5	1	no	—
847	#478	—	5	1	no	—
848	#478	—	5	1	no	—
849	#478	C₂×D₅	1	1	yes	characteristic, complemented
850	#467	—	5	1	no	—
851	#467	—	5	1	no	—
852	#467	—	5	1	no	—
853	#467	C₂×D₅	1	1	yes	characteristic, complemented
854	#466	—	5	1	no	—
855	#466	—	5	1	no	—
856	#466	—	5	1	no	—
857	#466	—	5	1	no	—
858	#465	—	5	1	no	—
859	#465	—	5	1	no	—
860	#465	—	5	1	no	—
861	#465	—	5	1	no	—
862	#465	—	5	1	no	—
863	#465	—	5	1	no	—
864	#465	—	5	1	no	—
865	#465	C₂×D₅	1	1	yes	characteristic, complemented
866	#464	—	5	1	no	—
867	#464	—	5	1	no	—
868	#464	—	5	1	no	—
869	#464	C₂×D₅	1	1	yes	characteristic, complemented
870	#463	—	5	1	no	—
871	#463	—	5	1	no	—
872	#463	—	5	1	no	—
873	#463	—	5	1	no	—
874	#463	—	5	1	no	—
875	#463	—	5	1	no	—
876	#463	—	5	1	no	—
877	#463	—	5	1	no	—
878	#452	—	5	1	no	—
879	#452	—	5	1	no	—
880	#452	—	5	1	no	—
881	#452	C₂×D₅	1	1	yes	characteristic, complemented
882	#451	—	5	1	no	—
883	#451	—	5	1	no	—
884	#451	—	5	1	no	—
885	#451	—	5	1	no	—
886	#450	—	5	1	no	—
887	#450	—	5	1	no	—
888	#450	—	5	1	no	—
889	#450	—	5	1	no	—
890	#450	—	5	1	no	—
891	#450	—	5	1	no	—
892	#450	—	5	1	no	—
893	#450	—	5	1	no	—
894	#450	—	5	1	no	—
895	#450	C₂×D₅	1	1	yes	characteristic, complemented
896	#449	—	5	1	no	—
897	#449	—	5	1	no	—
898	#449	—	5	1	no	—
899	#449	—	5	1	no	—
900	#449	—	5	1	no	—
901	#449	—	5	1	no	—
902	#449	—	5	1	no	—
903	#449	—	5	1	no	—
904	#448	—	5	1	no	—
905	#448	—	5	1	no	—
906	#447	—	5	1	no	—
907	#447	—	5	1	no	—
908	#447	—	5	1	no	—
909	#447	—	5	1	no	—
910	#447	—	5	1	no	—
911	#447	—	5	1	no	—
912	#447	—	5	1	no	—
913	#447	—	5	1	no	—
914	C₄×SD₁₆	—	5	1	no	—
915	C₄×SD₁₆	—	5	1	no	—
916	C₄×SD₁₆	—	5	1	no	—
917	C₄×SD₁₆	C₂×D₅	1	1	yes	characteristic, complemented
918	C₄×D₈	—	5	1	no	—
919	C₄×D₈	—	5	1	no	—
920	C₄×D₈	—	5	1	no	—
921	C₄×D₈	—	5	1	no	—
922	C₈×D₄	—	5	1	no	—
923	C₈×D₄	—	5	1	no	—
924	C₈×D₄	—	5	1	no	—
925	C₈×D₄	—	5	1	no	—
926	C₈×D₄	—	5	1	no	—
927	C₈×D₄	—	5	1	no	—
928	C₈×D₄	—	5	1	no	—
929	C₈×D₄	C₂×D₅	1	1	yes	characteristic, complemented
930	#431	—	5	1	no	—
931	#431	—	5	1	no	—
932	#416	—	5	1	no	—
933	#416	—	5	1	no	—
934	#416	—	5	1	no	—
935	#416	C₂×D₅	1	1	yes	characteristic, complemented
936	C₂×#102	—	5	1	no	—
937	C₂×#102	—	5	1	no	—
938	C₂×#102	—	5	1	no	—
939	C₂×#102	C₂×D₅	1	1	yes	characteristic, complemented
940	C₂×C₂²⋊C₈	—	5	1	no	—
941	C₂×C₂²⋊C₈	—	5	1	no	—
942	C₂×C₂²⋊C₈	—	5	1	no	—
943	C₂×C₂²⋊C₈	—	5	1	no	—
944	C₂³×C₅	—	2	1	no	—
945	C₂³×C₅	—	2	1	no	—
946	C₂³×C₅	—	4	2	no	—
947	C₂³×C₅	—	4	2	no	—
948	C₂³×C₅	—	8	1	no	—
949	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
950	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
951	C₂²×D₅	—	2	4	no	—
952	C₂²×D₅	—	2	1	no	—
953	C₂²×D₅	—	2	2	no	—
954	C₂²×D₅	—	2	1	no	—
955	C₂²×D₅	—	2	1	no	—
956	C₂²×D₅	—	2	1	no	—
957	C₂²×D₅	—	4	1	no	—
958	C₂²×D₅	—	4	1	no	—
959	C₂²×D₅	—	4	1	no	—
960	C₂²×D₅	—	4	1	no	—
961	C₂²×D₅	—	4	2	no	—
962	C₂²×D₅	—	4	2	no	—
963	C₂²×D₅	—	4	2	no	—
964	C₂²×D₅	—	4	2	no	—
965	C₂²×D₅	—	4	2	no	—
966	C₂²×D₅	—	4	2	no	—
967	C₂²×D₅	—	4	2	no	—
968	C₂²×D₅	—	4	2	no	—
969	C₂²×D₅	—	4	2	no	—
970	C₂²×D₅	—	4	2	no	—
971	C₂²×D₅	—	4	2	no	—
972	C₂²×D₅	—	4	2	no	—
973	C₂²×D₅	—	8	1	no	—
974	C₂²×D₅	—	8	1	no	—
975	C₂²×D₅	—	8	1	no	—
976	C₂²×D₅	—	8	16	no	—
977	C₂²×D₅	—	8	1	no	—
978	C₂²×D₅	—	8	1	no	—
979	C₂²×D₅	#135	1	4	yes	complemented
980	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
981	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
982	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
983	C₅×Q₈	—	2	1	no	—
984	C₅×Q₈	—	2	1	no	—
985	C₅×Q₈	—	2	1	no	—
986	C₅×Q₈	—	2	1	no	—
987	C₅×D₄	—	2	2	no	—
988	C₅×D₄	—	2	1	no	—
989	C₅×D₄	—	2	1	no	—
990	C₅×D₄	—	2	1	no	—
991	C₅×D₄	—	4	2	no	—
992	C₅×D₄	—	4	2	no	—
993	C₅×D₄	—	8	1	no	—
994	C₅×D₄	H(5,𝔽₂)	1	2	yes	—
995	C₂×C₄×C₅	—	2	1	no	—
996	C₂×C₄×C₅	—	2	1	no	—
997	C₂×C₄×C₅	—	2	1	no	—
998	C₂×C₄×C₅	—	2	1	no	—
999	C₂×C₄×C₅	—	2	1	no	—
1000	C₂×C₄×C₅	—	2	1	no	—
1001	C₂×C₄×C₅	—	2	1	no	—
1002	C₂×C₄×C₅	—	2	1	no	—
1003	C₂×C₄×C₅	—	2	1	no	—
1004	C₂×C₄×C₅	—	2	1	no	—
1005	C₂×C₄×C₅	—	4	2	no	—
1006	C₂×C₄×C₅	—	4	2	no	—
1007	C₂×C₄×C₅	—	8	1	no	—
1008	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
1009	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
1010	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
1011	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
1012	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
1013	C₂²⋊D₅	—	2	4	no	—
1014	C₂²⋊D₅	—	2	2	no	—
1015	C₂²⋊D₅	—	2	2	no	—
1016	C₂²⋊D₅	—	4	2	no	—
1017	C₂²⋊D₅	—	4	2	no	—
1018	C₂²⋊D₅	—	4	2	no	—
1019	C₂²⋊D₅	—	4	2	no	—
1020	C₂²⋊D₅	—	4	2	no	—
1021	C₂²⋊D₅	—	8	1	no	—
1022	C₂²⋊D₅	—	8	1	no	—
1023	C₂²⋊D₅	—	8	1	no	—
1024	C₂²⋊D₅	—	8	1	no	—
1025	C₂×Dic₅	—	2	1	no	—
1026	C₂×Dic₅	—	2	1	no	—
1027	C₂×Dic₅	—	2	1	no	—
1028	C₂×Dic₅	—	2	1	no	—
1029	C₂×Dic₅	—	4	1	no	—
1030	C₂×Dic₅	—	4	1	no	—
1031	C₂×Dic₅	—	4	2	no	—
1032	C₂×Dic₅	—	8	1	no	—
1033	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1034	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1035	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1036	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1037	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1038	D₂₀	—	2	2	no	—
1039	D₂₀	—	2	1	no	—
1040	D₂₀	—	2	1	no	—
1041	D₂₀	—	2	1	no	—
1042	D₂₀	—	2	1	no	—
1043	D₂₀	—	2	1	no	—
1044	D₂₀	—	2	1	no	—
1045	D₂₀	—	2	1	no	—
1046	D₂₀	—	4	2	no	—
1047	D₂₀	—	4	2	no	—
1048	D₂₀	—	4	2	no	—
1049	D₂₀	—	4	2	no	—
1050	D₂₀	—	4	2	no	—
1051	D₂₀	—	4	2	no	—
1052	D₂₀	—	8	1	no	—
1053	D₂₀	—	8	1	no	—
1054	D₂₀	—	8	1	no	—
1055	D₂₀	—	8	1	no	—
1056	D₂₀	H(5,𝔽₂)	1	2	yes	—
1057	C₄×D₅	—	2	2	no	—
1058	C₄×D₅	—	2	1	no	—
1059	C₄×D₅	—	2	1	no	—
1060	C₄×D₅	—	2	1	no	—
1061	C₄×D₅	—	2	1	no	—
1062	C₄×D₅	—	2	1	no	—
1063	C₄×D₅	—	2	1	no	—
1064	C₄×D₅	—	4	1	no	—
1065	C₄×D₅	—	4	1	no	—
1066	C₄×D₅	—	4	1	no	—
1067	C₄×D₅	—	4	1	no	—
1068	C₄×D₅	—	4	1	no	—
1069	C₄×D₅	—	4	2	no	—
1070	C₄×D₅	—	4	2	no	—
1071	C₄×D₅	—	4	2	no	—
1072	C₄×D₅	—	4	2	no	—
1073	C₄×D₅	—	8	1	no	—
1074	C₄×D₅	—	8	1	no	—
1075	C₄×D₅	—	8	1	no	—
1076	C₄×D₅	—	8	1	no	—
1077	C₄×D₅	—	8	1	no	—
1078	C₄×D₅	—	8	1	no	—
1079	C₄×D₅	—	8	1	no	—
1080	C₄×D₅	—	8	1	no	—
1081	Dic₁₀	—	2	1	no	—
1082	Dic₁₀	—	2	1	no	—
1083	Dic₁₀	—	2	1	no	—
1084	Dic₁₀	—	2	1	no	—
1085	Dic₁₀	—	4	2	no	—
1086	Dic₁₀	—	8	1	no	—
1087	C₅×C₈	—	2	1	no	—
1088	C₅×C₈	—	2	1	no	—
1089	C₅×C₈	—	2	1	no	—
1090	C₅×C₈	—	2	1	no	—
1091	#168	—	2	1	no	—
1092	#168	—	2	1	no	—
1093	#168	—	2	1	no	—
1094	#168	—	2	1	no	—
1095	C₂⁵	—	10	1	no	—
1096	C₂×#41	—	5	1	no	—
1097	C₂×#41	—	5	1	no	—
1098	C₂×#41	—	5	1	no	—
1099	C₂×#41	—	5	1	no	—
1100	C₂×#41	—	5	1	no	—
1101	C₂×#41	—	10	1	no	—
1102	C₂×#41	—	10	1	no	—
1103	C₂×#41	—	20	2	no	—
1104	C₂×#41	—	20	2	no	—
1105	C₂×#41	C₂²×D₅	1	1	yes	characteristic
1106	C₂²×Q₈	—	5	1	no	—
1107	C₂²×Q₈	—	5	1	no	—
1108	C₂²×D₄	—	5	1	no	—
1109	C₂²×D₄	—	5	1	no	—
1110	C₂²×D₄	—	5	1	no	—
1111	C₂²×D₄	—	5	1	no	—
1112	C₂²×D₄	—	5	1	no	—
1113	C₂²×D₄	—	5	1	no	—
1114	C₂²×D₄	—	5	1	no	—
1115	C₂²×D₄	—	10	1	no	—
1116	C₂²×D₄	—	10	1	no	—
1117	C₂²×D₄	—	10	1	no	—
1118	C₂²×D₄	—	10	1	no	—
1119	C₂²×D₄	—	10	1	no	—
1120	C₂²×D₄	—	10	1	no	—
1121	C₂²×D₄	—	20	2	no	—
1122	C₂²×D₄	—	20	2	no	—
1123	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
1124	C₂³×C₄	—	5	1	no	—
1125	C₂³×C₄	—	5	1	no	—
1126	C₂³×C₄	—	10	1	no	—
1127	C₂³×C₄	—	10	1	no	—
1128	#135	—	20	2	no	—
1129	#135	—	20	2	no	—
1130	#135	—	20	2	no	—
1131	#135	—	20	2	no	—
1132	C₂×Q₁₆	—	5	1	no	—
1133	C₂×Q₁₆	—	5	1	no	—
1134	C₂×Q₁₆	—	5	1	no	—
1135	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic, complemented
1136	C₂×SD₁₆	—	5	1	no	—
1137	C₂×SD₁₆	—	5	1	no	—
1138	C₂×SD₁₆	—	5	1	no	—
1139	C₂×SD₁₆	—	5	1	no	—
1140	C₂×SD₁₆	—	5	1	no	—
1141	C₂×SD₁₆	—	5	1	no	—
1142	C₂×SD₁₆	—	5	1	no	—
1143	C₂×SD₁₆	—	5	1	no	—
1144	C₂×SD₁₆	—	5	1	no	—
1145	C₂×SD₁₆	—	5	1	no	—
1146	C₂×SD₁₆	—	20	2	no	—
1147	C₂×SD₁₆	—	20	2	no	—
1148	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1149	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1150	C₂×D₈	—	5	1	no	—
1151	C₂×D₈	—	5	1	no	—
1152	C₂×D₈	—	5	1	no	—
1153	C₂×D₈	—	5	1	no	—
1154	C₂×D₈	—	5	1	no	—
1155	C₂×D₈	—	5	1	no	—
1156	C₂×D₈	—	5	1	no	—
1157	C₂×D₈	—	5	1	no	—
1158	C₂×D₈	—	20	2	no	—
1159	C₂×D₈	—	20	2	no	—
1160	C₂²×C₈	—	5	1	no	—
1161	C₂²×C₈	—	5	1	no	—
1162	C₂²×C₈	—	5	1	no	—
1163	C₂²×C₈	—	5	1	no	—
1164	C₂²×C₈	—	5	1	no	—
1165	C₂²×C₈	—	5	1	no	—
1166	C₂²×C₈	C₂²×D₅	1	1	yes	characteristic
1167	C₂²×C₈	C₂²×D₅	1	1	yes	characteristic, complemented
1168	#126	—	2	1	no	—
1169	#126	—	10	1	no	—
1170	#126	—	10	1	no	—
1171	#126	—	10	1	no	—
1172	#126	—	10	1	no	—
1173	#126	—	10	1	no	—
1174	#125	—	2	1	no	—
1175	#125	—	5	1	no	—
1176	#125	—	10	1	no	—
1177	#125	C₂²×D₅	1	1	yes	characteristic, complemented
1178	#124	—	5	1	no	—
1179	#124	—	5	1	no	—
1180	#124	—	5	1	no	—
1181	#124	—	5	1	no	—
1182	#124	—	5	1	no	—
1183	#124	—	10	1	no	—
1184	#124	—	10	1	no	—
1185	#124	—	10	1	no	—
1186	#124	—	10	1	no	—
1187	#124	C₂²×D₅	1	1	yes	characteristic
1188	#123	—	2	1	no	—
1189	#123	—	2	1	no	—
1190	#123	—	10	1	no	—
1191	#123	—	10	1	no	—
1192	#123	—	10	1	no	—
1193	#123	—	10	1	no	—
1194	#123	—	10	1	no	—
1195	#123	—	10	1	no	—
1196	#123	—	10	1	no	—
1197	#123	—	10	1	no	—
1198	#123	—	10	1	no	—
1199	#123	—	10	1	no	—
1200	#123	—	10	1	no	—
1201	#123	—	10	1	no	—
1202	#123	—	10	1	no	—
1203	#123	—	10	1	no	—
1204	#123	—	10	1	no	—
1205	#123	—	10	1	no	—
1206	C₂²⋊Q₈	—	5	1	no	—
1207	C₂²⋊Q₈	—	5	1	no	—
1208	C₂²⋊Q₈	—	5	1	no	—
1209	C₂²⋊Q₈	—	5	1	no	—
1210	C₂²⋊Q₈	—	5	1	no	—
1211	C₂²⋊Q₈	—	5	1	no	—
1212	C₂²⋊Q₈	—	5	1	no	—
1213	C₂²⋊Q₈	—	10	1	no	—
1214	C₂²⋊Q₈	—	10	1	no	—
1215	C₂²⋊Q₈	—	10	1	no	—
1216	C₂²⋊Q₈	—	10	1	no	—
1217	C₂²⋊Q₈	—	10	1	no	—
1218	C₂²⋊Q₈	—	10	1	no	—
1219	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1220	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1221	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic, complemented
1222	#121	—	2	1	no	—
1223	#121	—	5	1	no	—
1224	#121	—	5	1	no	—
1225	#121	—	5	1	no	—
1226	#121	—	5	1	no	—
1227	#121	—	5	1	no	—
1228	#121	—	5	1	no	—
1229	#121	—	5	1	no	—
1230	#121	—	5	1	no	—
1231	#121	—	5	1	no	—
1232	#121	—	10	1	no	—
1233	#121	—	10	1	no	—
1234	#121	—	10	1	no	—
1235	#121	—	10	1	no	—
1236	#121	—	10	1	no	—
1237	#121	—	10	1	no	—
1238	#121	—	10	1	no	—
1239	#121	—	10	1	no	—
1240	#121	—	10	1	no	—
1241	#121	—	10	1	no	—
1242	#121	—	10	1	no	—
1243	#121	—	10	1	no	—
1244	#121	—	10	1	no	—
1245	#121	—	10	1	no	—
1246	#121	—	10	1	no	—
1247	#121	—	10	1	no	—
1248	#121	—	10	1	no	—
1249	#121	C₂²×D₅	1	1	yes	characteristic
1250	#120	—	2	1	no	—
1251	#120	—	10	1	no	—
1252	#120	—	10	1	no	—
1253	#120	—	10	1	no	—
1254	#120	—	10	1	no	—
1255	#120	—	10	1	no	—
1256	#120	—	10	1	no	—
1257	#120	—	10	1	no	—
1258	#120	—	10	1	no	—
1259	#120	—	10	1	no	—
1260	#120	—	10	1	no	—
1261	#120	—	10	1	no	—
1262	C₄×Q₈	—	5	1	no	—
1263	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic, complemented
1264	C₄×D₄	—	5	1	no	—
1265	C₄×D₄	—	5	1	no	—
1266	C₄×D₄	—	5	1	no	—
1267	C₄×D₄	—	5	1	no	—
1268	C₄×D₄	—	5	1	no	—
1269	C₄×D₄	—	5	1	no	—
1270	C₄×D₄	—	5	1	no	—
1271	C₄×D₄	—	5	1	no	—
1272	C₄×D₄	—	5	1	no	—
1273	C₄×D₄	—	5	1	no	—
1274	C₄×D₄	—	5	1	no	—
1275	C₄×D₄	—	5	1	no	—
1276	C₄×D₄	—	10	1	no	—
1277	C₄×D₄	—	10	1	no	—
1278	C₄×D₄	—	10	1	no	—
1279	C₄×D₄	—	10	1	no	—
1280	C₄×D₄	—	10	1	no	—
1281	C₄×D₄	—	10	1	no	—
1282	C₄×D₄	—	10	1	no	—
1283	C₄×D₄	—	10	1	no	—
1284	C₄×D₄	—	10	1	no	—
1285	C₄×D₄	—	10	1	no	—
1286	C₄×D₄	—	10	1	no	—
1287	C₄×D₄	—	10	1	no	—
1288	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1289	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1290	#117	—	2	1	no	—
1291	#117	—	5	1	no	—
1292	#117	—	10	1	no	—
1293	#117	—	10	1	no	—
1294	#117	—	10	1	no	—
1295	#117	C₂²×D₅	1	1	yes	characteristic, complemented
1296	C₂×C₄⋊C₄	—	5	1	no	—
1297	C₂×C₄⋊C₄	—	5	1	no	—
1298	C₂×C₄⋊C₄	—	5	1	no	—
1299	C₂×C₄⋊C₄	—	10	1	no	—
1300	C₂×C₄⋊C₄	—	10	1	no	—
1301	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1302	C₂×C₂²⋊C₄	—	2	1	no	—
1303	C₂×C₂²⋊C₄	—	5	1	no	—
1304	C₂×C₂²⋊C₄	—	5	1	no	—
1305	C₂×C₂²⋊C₄	—	10	1	no	—
1306	C₂×C₂²⋊C₄	—	10	1	no	—
1307	C₂×C₂²⋊C₄	—	10	1	no	—
1308	C₂×C₂²⋊C₄	—	10	1	no	—
1309	C₂×C₂²⋊C₄	—	10	1	no	—
1310	C₂×C₂²⋊C₄	—	10	1	no	—
1311	C₂×C₂²⋊C₄	—	10	1	no	—
1312	C₂×C₂²⋊C₄	—	10	1	no	—
1313	C₂×C₂²⋊C₄	—	10	1	no	—
1314	C₂×C₂²⋊C₄	—	10	1	no	—
1315	C₂×C₂²⋊C₄	—	10	1	no	—
1316	C₂×C₂²⋊C₄	—	10	1	no	—
1317	C₂×C₂²⋊C₄	—	10	1	no	—
1318	C₂×C₂²⋊C₄	—	10	1	no	—
1319	C₂×C₂²⋊C₄	—	10	1	no	—
1320	C₂×C₂²⋊C₄	—	10	1	no	—
1321	C₂×C₄²	—	5	1	no	—
1322	#107	—	5	1	no	—
1323	#107	—	5	1	no	—
1324	#107	—	5	1	no	—
1325	#107	C₂²×D₅	1	1	yes	characteristic, complemented
1326	#106	—	5	1	no	—
1327	#106	—	5	1	no	—
1328	#106	C₂²×D₅	1	1	yes	characteristic, complemented
1329	#106	C₂²×D₅	1	1	yes	characteristic, complemented
1330	C₄⋊C₈	—	5	1	no	—
1331	C₄⋊C₈	—	5	1	no	—
1332	C₄⋊C₈	—	5	1	no	—
1333	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic, complemented
1334	#103	—	5	1	no	—
1335	#103	—	5	1	no	—
1336	#103	—	5	1	no	—
1337	#103	—	5	1	no	—
1338	#103	—	5	1	no	—
1339	#103	—	5	1	no	—
1340	#103	—	5	1	no	—
1341	#103	—	5	1	no	—
1342	#103	C₂²×D₅	1	1	yes	characteristic, complemented
1343	#103	C₂²×D₅	1	1	yes	characteristic, complemented
1344	#103	C₂²×D₅	1	1	yes	characteristic, complemented
1345	#103	C₂²×D₅	1	1	yes	characteristic, complemented
1346	#102	—	5	1	no	—
1347	#102	—	5	1	no	—
1348	#102	—	5	1	no	—
1349	#102	—	5	1	no	—
1350	#102	—	5	1	no	—
1351	#102	—	5	1	no	—
1352	#102	—	5	1	no	—
1353	#102	—	5	1	no	—
1354	#102	—	5	1	no	—
1355	#102	—	5	1	no	—
1356	#102	—	5	1	no	—
1357	#102	—	5	1	no	—
1358	#102	—	5	1	no	—
1359	#102	—	5	1	no	—
1360	#102	C₂²×D₅	1	1	yes	characteristic
1361	#102	C₂²×D₅	1	1	yes	characteristic
1362	#102	C₂²×D₅	1	1	yes	characteristic
1363	#102	C₂²×D₅	1	1	yes	characteristic
1364	#102	C₂²×D₅	1	1	yes	characteristic
1365	#102	C₂²×D₅	1	1	yes	characteristic
1366	C₂²⋊C₈	—	5	1	no	—
1367	C₂²⋊C₈	—	5	1	no	—
1368	C₂²⋊C₈	—	5	1	no	—
1369	C₂²⋊C₈	—	5	1	no	—
1370	C₂²⋊C₈	—	5	1	no	—
1371	C₂²⋊C₈	—	5	1	no	—
1372	C₂²⋊C₈	—	5	1	no	—
1373	C₂²⋊C₈	—	5	1	no	—
1374	C₂²⋊C₈	—	5	1	no	—
1375	C₂²⋊C₈	—	5	1	no	—
1376	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1377	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic, complemented
1378	C₄×C₈	—	5	1	no	—
1379	C₄×C₈	—	5	1	no	—
1380	C₄×C₈	—	5	1	no	—
1381	C₄×C₈	C₂²×D₅	1	1	yes	characteristic, complemented
1382	C₂²×C₅	—	2	1	no	—
1383	C₂²×C₅	—	2	1	no	—
1384	C₂²×C₅	—	2	1	no	—
1385	C₂²×C₅	—	2	2	no	—
1386	C₂²×C₅	—	2	1	no	—
1387	C₂²×C₅	—	2	1	no	—
1388	C₂²×C₅	—	4	1	no	—
1389	C₂²×C₅	—	4	1	no	—
1390	C₂²×C₅	—	4	1	no	—
1391	C₂²×C₅	—	4	1	no	—
1392	C₂²×C₅	—	4	1	no	—
1393	C₂²×C₅	—	8	4	no	—
1394	C₂²×C₅	C₂×#135	1	2	yes	—
1395	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1396	C₂×D₅	—	2	1	no	—
1397	C₂×D₅	—	2	1	no	—
1398	C₂×D₅	—	2	1	no	—
1399	C₂×D₅	—	2	1	no	—
1400	C₂×D₅	—	2	1	no	—
1401	C₂×D₅	—	2	1	no	—
1402	C₂×D₅	—	2	2	no	—
1403	C₂×D₅	—	2	1	no	—
1404	C₂×D₅	—	4	4	no	—
1405	C₂×D₅	—	4	8	no	—
1406	C₂×D₅	—	4	1	no	—
1407	C₂×D₅	—	4	1	no	—
1408	C₂×D₅	—	4	1	no	—
1409	C₂×D₅	—	4	1	no	—
1410	C₂×D₅	—	4	1	no	—
1411	C₂×D₅	—	4	1	no	—
1412	C₂×D₅	—	4	1	no	—
1413	C₂×D₅	—	4	1	no	—
1414	C₂×D₅	—	4	1	no	—
1415	C₂×D₅	—	4	1	no	—
1416	C₂×D₅	—	4	1	no	—
1417	C₂×D₅	—	8	2	no	—
1418	C₂×D₅	—	8	4	no	—
1419	C₂×D₅	—	8	4	no	—
1420	C₂×D₅	—	8	4	no	—
1421	C₂×D₅	—	8	4	no	—
1422	C₂×D₅	—	16	2	no	—
1423	C₂×D₅	C₂×#135	1	2	yes	—
1424	C₂×D₅	C₂×#135	1	2	yes	—
1425	C₄×C₅	—	2	1	no	—
1426	C₄×C₅	—	2	1	no	—
1427	C₄×C₅	—	2	1	no	—
1428	C₄×C₅	—	2	1	no	—
1429	C₄×C₅	—	4	1	no	—
1430	C₄×C₅	—	4	1	no	—
1431	C₄×C₅	—	4	1	no	—
1432	C₄×C₅	—	4	1	no	—
1433	C₄×C₅	—	4	1	no	—
1434	C₄×C₅	—	4	1	no	—
1435	C₄×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1436	C₄×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1437	Dic₅	—	2	1	no	—
1438	Dic₅	—	2	1	no	—
1439	Dic₅	—	2	1	no	—
1440	Dic₅	—	2	1	no	—
1441	Dic₅	—	2	1	no	—
1442	Dic₅	—	4	1	no	—
1443	Dic₅	—	4	1	no	—
1444	Dic₅	—	4	1	no	—
1445	Dic₅	—	4	1	no	—
1446	C₂⁴	—	2	1	no	—
1447	C₂⁴	—	5	1	no	—
1448	C₂⁴	—	5	1	no	—
1449	C₂⁴	—	10	1	no	—
1450	C₂⁴	—	10	1	no	—
1451	C₂⁴	—	10	1	no	—
1452	C₂⁴	—	10	1	no	—
1453	C₂⁴	—	10	1	no	—
1454	C₂⁴	—	10	1	no	—
1455	C₂⁴	—	20	4	no	—
1456	C₂⁴	—	20	4	no	—
1457	C₂⁴	—	40	2	no	—
1458	#41	—	2	2	no	—
1459	#41	—	4	1	no	—
1460	#41	—	10	2	no	—
1461	#41	—	10	2	no	—
1462	#41	—	10	2	no	—
1463	#41	—	20	1	no	—
1464	#41	—	20	1	no	—
1465	#41	—	20	1	no	—
1466	#41	—	20	4	no	—
1467	#41	—	20	1	no	—
1468	#41	—	20	1	no	—
1469	#41	—	20	1	no	—
1470	#41	—	20	1	no	—
1471	#41	—	20	4	no	—
1472	C₂×Q₈	—	5	1	no	—
1473	C₂×Q₈	—	5	1	no	—
1474	C₂×Q₈	—	10	1	no	—
1475	C₂×Q₈	—	10	1	no	—
1476	C₂×Q₈	—	20	1	no	—
1477	C₂×Q₈	—	20	1	no	—
1478	C₂×Q₈	—	20	1	no	—
1479	C₂×Q₈	—	20	1	no	—
1480	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1481	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1482	C₂×D₄	—	2	2	no	—
1483	C₂×D₄	—	2	1	no	—
1484	C₂×D₄	—	2	1	no	—
1485	C₂×D₄	—	2	1	no	—
1486	C₂×D₄	—	4	1	no	—
1487	C₂×D₄	—	5	1	no	—
1488	C₂×D₄	—	5	1	no	—
1489	C₂×D₄	—	5	1	no	—
1490	C₂×D₄	—	5	1	no	—
1491	C₂×D₄	—	5	1	no	—
1492	C₂×D₄	—	5	1	no	—
1493	C₂×D₄	—	5	1	no	—
1494	C₂×D₄	—	10	2	no	—
1495	C₂×D₄	—	10	1	no	—
1496	C₂×D₄	—	10	1	no	—
1497	C₂×D₄	—	10	1	no	—
1498	C₂×D₄	—	10	1	no	—
1499	C₂×D₄	—	10	1	no	—
1500	C₂×D₄	—	10	1	no	—
1501	C₂×D₄	—	10	1	no	—
1502	C₂×D₄	—	10	1	no	—
1503	C₂×D₄	—	10	1	no	—
1504	C₂×D₄	—	10	1	no	—
1505	C₂×D₄	—	10	1	no	—
1506	C₂×D₄	—	10	1	no	—
1507	C₂×D₄	—	10	2	no	—
1508	C₂×D₄	—	10	2	no	—
1509	C₂×D₄	—	10	4	no	—
1510	C₂×D₄	—	10	2	no	—
1511	C₂×D₄	—	10	2	no	—
1512	C₂×D₄	—	10	1	no	—
1513	C₂×D₄	—	10	1	no	—
1514	C₂×D₄	—	10	1	no	—
1515	C₂×D₄	—	10	1	no	—
1516	C₂×D₄	—	10	1	no	—
1517	C₂×D₄	—	10	1	no	—
1518	C₂×D₄	—	10	1	no	—
1519	C₂×D₄	—	10	1	no	—
1520	C₂×D₄	—	20	1	no	—
1521	C₂×D₄	—	20	1	no	—
1522	C₂×D₄	—	20	1	no	—
1523	C₂×D₄	—	20	4	no	—
1524	C₂×D₄	—	20	1	no	—
1525	C₂×D₄	—	20	1	no	—
1526	C₂×D₄	—	20	1	no	—
1527	C₂×D₄	—	20	1	no	—
1528	C₂×D₄	—	20	4	no	—
1529	C₂×D₄	—	20	4	no	—
1530	C₂×D₄	—	20	4	no	—
1531	C₂×D₄	—	20	4	no	—
1532	C₂×D₄	—	40	2	no	—
1533	C₂×D₄	D₄×D₅	1	1	yes	characteristic
1534	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1535	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1536	C₂²×C₄	—	2	1	no	—
1537	C₂²×C₄	—	2	1	no	—
1538	C₂²×C₄	—	2	1	no	—
1539	C₂²×C₄	—	5	1	no	—
1540	C₂²×C₄	—	5	1	no	—
1541	C₂²×C₄	—	5	1	no	—
1542	C₂²×C₄	—	5	1	no	—
1543	C₂²×C₄	—	5	1	no	—
1544	C₂²×C₄	—	5	1	no	—
1545	C₂²×C₄	—	5	1	no	—
1546	C₂²×C₄	—	5	1	no	—
1547	C₂²×C₄	—	5	1	no	—
1548	C₂²×C₄	—	5	1	no	—
1549	C₂²×C₄	—	5	1	no	—
1550	C₂²×C₄	—	10	1	no	—
1551	C₂²×C₄	—	10	1	no	—
1552	C₂²×C₄	—	10	1	no	—
1553	C₂²×C₄	—	10	1	no	—
1554	C₂²×C₄	—	10	1	no	—
1555	C₂²×C₄	—	10	1	no	—
1556	C₂²×C₄	—	10	1	no	—
1557	C₂²×C₄	—	10	1	no	—
1558	C₂²×C₄	—	10	1	no	—
1559	C₂²×C₄	—	10	1	no	—
1560	C₂²×C₄	—	10	1	no	—
1561	C₂²×C₄	—	10	1	no	—
1562	C₂²×C₄	—	10	1	no	—
1563	C₂²×C₄	—	10	1	no	—
1564	C₂²×C₄	—	20	1	no	—
1565	C₂²×C₄	—	20	1	no	—
1566	C₂²×C₄	—	20	1	no	—
1567	C₂²×C₄	—	20	1	no	—
1568	C₂²×C₄	—	20	4	no	—
1569	C₂²×C₄	—	40	2	no	—
1570	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1571	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1572	Q₁₆	—	4	1	no	—
1573	Q₁₆	—	20	1	no	—
1574	Q₁₆	—	20	1	no	—
1575	Q₁₆	—	20	1	no	—
1576	SD₁₆	—	2	2	no	—
1577	SD₁₆	—	4	1	no	—
1578	SD₁₆	—	10	2	no	—
1579	SD₁₆	—	10	2	no	—
1580	SD₁₆	—	10	2	no	—
1581	SD₁₆	—	20	1	no	—
1582	SD₁₆	—	20	1	no	—
1583	SD₁₆	—	20	1	no	—
1584	SD₁₆	—	20	1	no	—
1585	SD₁₆	—	20	1	no	—
1586	SD₁₆	—	20	1	no	—
1587	SD₁₆	—	20	1	no	—
1588	D₈	—	10	2	no	—
1589	D₈	—	10	2	no	—
1590	D₈	—	10	2	no	—
1591	D₈	—	10	2	no	—
1592	D₈	—	20	1	no	—
1593	D₈	—	20	1	no	—
1594	D₈	—	20	1	no	—
1595	D₈	—	20	1	no	—
1596	C₂×C₈	—	4	1	no	—
1597	C₂×C₈	—	4	1	no	—
1598	C₂×C₈	—	5	1	no	—
1599	C₂×C₈	—	5	1	no	—
1600	C₂×C₈	—	5	1	no	—
1601	C₂×C₈	—	5	1	no	—
1602	C₂×C₈	—	20	1	no	—
1603	C₂×C₈	—	20	1	no	—
1604	C₂×C₈	—	20	1	no	—
1605	C₂×C₈	—	20	1	no	—
1606	C₂×C₈	—	20	1	no	—
1607	C₂×C₈	—	20	1	no	—
1608	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1609	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1610	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1611	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1612	C₄⋊C₄	—	2	1	no	—
1613	C₄⋊C₄	—	2	1	no	—
1614	C₄⋊C₄	—	2	1	no	—
1615	C₄⋊C₄	—	2	1	no	—
1616	C₄⋊C₄	—	2	1	no	—
1617	C₄⋊C₄	—	2	1	no	—
1618	C₄⋊C₄	—	2	1	no	—
1619	C₄⋊C₄	—	5	1	no	—
1620	C₄⋊C₄	—	5	1	no	—
1621	C₄⋊C₄	—	5	1	no	—
1622	C₄⋊C₄	—	5	1	no	—
1623	C₄⋊C₄	—	5	1	no	—
1624	C₄⋊C₄	—	10	1	no	—
1625	C₄⋊C₄	—	10	1	no	—
1626	C₄⋊C₄	—	10	1	no	—
1627	C₄⋊C₄	—	10	1	no	—
1628	C₄⋊C₄	—	10	1	no	—
1629	C₄⋊C₄	—	10	1	no	—
1630	C₄⋊C₄	—	10	1	no	—
1631	C₄⋊C₄	—	10	1	no	—
1632	C₄⋊C₄	—	10	1	no	—
1633	C₄⋊C₄	—	10	1	no	—
1634	C₄⋊C₄	—	10	1	no	—
1635	C₄⋊C₄	—	10	1	no	—
1636	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1637	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1638	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1639	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1640	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1641	C₂²⋊C₄	—	2	1	no	—
1642	C₂²⋊C₄	—	2	1	no	—
1643	C₂²⋊C₄	—	2	1	no	—
1644	C₂²⋊C₄	—	2	1	no	—
1645	C₂²⋊C₄	—	2	1	no	—
1646	C₂²⋊C₄	—	2	1	no	—
1647	C₂²⋊C₄	—	2	1	no	—
1648	C₂²⋊C₄	—	2	1	no	—
1649	C₂²⋊C₄	—	5	1	no	—
1650	C₂²⋊C₄	—	5	1	no	—
1651	C₂²⋊C₄	—	5	1	no	—
1652	C₂²⋊C₄	—	5	1	no	—
1653	C₂²⋊C₄	—	5	1	no	—
1654	C₂²⋊C₄	—	5	1	no	—
1655	C₂²⋊C₄	—	10	1	no	—
1656	C₂²⋊C₄	—	10	1	no	—
1657	C₂²⋊C₄	—	10	1	no	—
1658	C₂²⋊C₄	—	10	1	no	—
1659	C₂²⋊C₄	—	10	1	no	—
1660	C₂²⋊C₄	—	10	1	no	—
1661	C₂²⋊C₄	—	10	1	no	—
1662	C₂²⋊C₄	—	10	1	no	—
1663	C₂²⋊C₄	—	10	1	no	—
1664	C₂²⋊C₄	—	10	1	no	—
1665	C₂²⋊C₄	—	10	1	no	—
1666	C₂²⋊C₄	—	10	1	no	—
1667	C₂²⋊C₄	—	10	1	no	—
1668	C₂²⋊C₄	—	10	1	no	—
1669	C₂²⋊C₄	—	10	1	no	—
1670	C₂²⋊C₄	—	10	1	no	—
1671	C₂²⋊C₄	—	10	1	no	—
1672	C₂²⋊C₄	—	10	1	no	—
1673	C₂²⋊C₄	—	10	1	no	—
1674	C₂²⋊C₄	—	10	1	no	—
1675	C₂²⋊C₄	—	10	1	no	—
1676	C₂²⋊C₄	—	10	1	no	—
1677	C₂²⋊C₄	—	10	1	no	—
1678	C₂²⋊C₄	—	10	1	no	—
1679	C₂²⋊C₄	—	10	1	no	—
1680	C₂²⋊C₄	—	10	1	no	—
1681	C₂²⋊C₄	—	10	1	no	—
1682	C₂²⋊C₄	—	10	1	no	—
1683	C₂²⋊C₄	—	10	1	no	—
1684	C₂²⋊C₄	—	10	1	no	—
1685	C₂²⋊C₄	—	10	1	no	—
1686	C₂²⋊C₄	—	10	1	no	—
1687	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1688	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1689	C₄²	—	2	1	no	—
1690	C₄²	—	2	1	no	—
1691	C₄²	—	5	1	no	—
1692	C₄²	—	5	1	no	—
1693	C₄²	—	5	1	no	—
1694	C₄²	—	10	1	no	—
1695	C₄²	—	10	1	no	—
1696	C₄²	C₂³×D₅	1	1	yes	characteristic
1697	C₂×C₅	—	2	2	no	—
1698	C₂×C₅	—	4	2	no	—
1699	C₂×C₅	—	4	1	no	—
1700	C₂×C₅	—	8	1	no	—
1701	C₂×C₅	#3484	1	1	yes	characteristic
1702	C₂×C₅	C₂²×#135	1	1	yes	characteristic
1703	C₂×C₅	#3585	1	1	yes	characteristic
1704	D₅	—	2	2	no	—
1705	D₅	—	2	2	no	—
1706	D₅	—	4	1	no	—
1707	D₅	—	4	2	no	—
1708	D₅	—	8	1	no	—
1709	D₅	—	8	1	no	—
1710	D₅	—	8	1	no	—
1711	C₂³	—	2	1	no	—
1712	C₂³	—	2	1	no	—
1713	C₂³	—	4	2	no	—
1714	C₂³	—	4	2	no	—
1715	C₂³	—	5	1	no	—
1716	C₂³	—	5	1	no	—
1717	C₂³	—	5	4	no	—
1718	C₂³	—	5	1	no	—
1719	C₂³	—	8	1	no	—
1720	C₂³	—	10	2	no	—
1721	C₂³	—	10	4	no	—
1722	C₂³	—	10	1	no	—
1723	C₂³	—	10	1	no	—
1724	C₂³	—	10	1	no	—
1725	C₂³	—	10	1	no	—
1726	C₂³	—	20	1	no	—
1727	C₂³	—	20	1	no	—
1728	C₂³	—	20	1	no	—
1729	C₂³	—	20	1	no	—
1730	C₂³	—	20	2	no	—
1731	C₂³	—	20	2	no	—
1732	C₂³	—	20	2	no	—
1733	C₂³	—	20	2	no	—
1734	C₂³	—	20	2	no	—
1735	C₂³	—	20	2	no	—
1736	C₂³	—	20	2	no	—
1737	C₂³	—	20	2	no	—
1738	C₂³	—	20	2	no	—
1739	C₂³	—	20	2	no	—
1740	C₂³	—	20	2	no	—
1741	C₂³	—	20	2	no	—
1742	C₂³	—	40	1	no	—
1743	C₂³	—	40	1	no	—
1744	C₂³	—	40	1	no	—
1745	C₂³	—	40	1	no	—
1746	C₂³	—	40	1	no	—
1747	C₂³	—	40	16	no	—
1748	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1749	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1750	Q₈	—	2	1	no	—
1751	Q₈	—	2	1	no	—
1752	Q₈	—	2	1	no	—
1753	Q₈	—	2	1	no	—
1754	Q₈	—	10	1	no	—
1755	Q₈	—	10	1	no	—
1756	Q₈	—	10	1	no	—
1757	Q₈	—	10	1	no	—
1758	Q₈	—	20	2	no	—
1759	Q₈	—	40	1	no	—
1760	D₄	—	2	2	no	—
1761	D₄	—	2	1	no	—
1762	D₄	—	2	1	no	—
1763	D₄	—	2	1	no	—
1764	D₄	—	4	2	no	—
1765	D₄	—	4	2	no	—
1766	D₄	—	5	2	no	—
1767	D₄	—	8	1	no	—
1768	D₄	—	10	2	no	—
1769	D₄	—	10	2	no	—
1770	D₄	—	10	4	no	—
1771	D₄	—	10	2	no	—
1772	D₄	—	10	1	no	—
1773	D₄	—	10	1	no	—
1774	D₄	—	10	1	no	—
1775	D₄	—	10	1	no	—
1776	D₄	—	10	1	no	—
1777	D₄	—	10	1	no	—
1778	D₄	—	10	1	no	—
1779	D₄	—	20	2	no	—
1780	D₄	—	20	2	no	—
1781	D₄	—	20	2	no	—
1782	D₄	—	20	2	no	—
1783	D₄	—	20	2	no	—
1784	D₄	—	20	2	no	—
1785	D₄	—	20	2	no	—
1786	D₄	—	20	2	no	—
1787	D₄	—	20	2	no	—
1788	D₄	—	20	2	no	—
1789	D₄	—	20	2	no	—
1790	D₄	—	40	1	no	—
1791	D₄	—	40	1	no	—
1792	D₄	—	40	1	no	—
1793	D₄	—	40	1	no	—
1794	D₄	—	40	1	no	—
1795	D₄	—	40	1	no	—
1796	D₄	—	40	1	no	—
1797	D₄	—	40	1	no	—
1798	D₄	#4149	1	2	yes	—
1799	C₂×C₄	—	2	1	no	—
1800	C₂×C₄	—	2	1	no	—
1801	C₂×C₄	—	2	1	no	—
1802	C₂×C₄	—	2	1	no	—
1803	C₂×C₄	—	2	1	no	—
1804	C₂×C₄	—	2	1	no	—
1805	C₂×C₄	—	2	1	no	—
1806	C₂×C₄	—	2	1	no	—
1807	C₂×C₄	—	2	1	no	—
1808	C₂×C₄	—	2	1	no	—
1809	C₂×C₄	—	4	2	no	—
1810	C₂×C₄	—	4	2	no	—
1811	C₂×C₄	—	5	1	no	—
1812	C₂×C₄	—	5	1	no	—
1813	C₂×C₄	—	5	1	no	—
1814	C₂×C₄	—	5	1	no	—
1815	C₂×C₄	—	5	1	no	—
1816	C₂×C₄	—	8	1	no	—
1817	C₂×C₄	—	10	2	no	—
1818	C₂×C₄	—	10	1	no	—
1819	C₂×C₄	—	10	1	no	—
1820	C₂×C₄	—	10	1	no	—
1821	C₂×C₄	—	10	1	no	—
1822	C₂×C₄	—	10	1	no	—
1823	C₂×C₄	—	10	1	no	—
1824	C₂×C₄	—	10	1	no	—
1825	C₂×C₄	—	10	1	no	—
1826	C₂×C₄	—	10	1	no	—
1827	C₂×C₄	—	10	1	no	—
1828	C₂×C₄	—	20	1	no	—
1829	C₂×C₄	—	20	1	no	—
1830	C₂×C₄	—	20	1	no	—
1831	C₂×C₄	—	20	1	no	—
1832	C₂×C₄	—	20	1	no	—
1833	C₂×C₄	—	20	2	no	—
1834	C₂×C₄	—	20	2	no	—
1835	C₂×C₄	—	20	2	no	—
1836	C₂×C₄	—	20	2	no	—
1837	C₂×C₄	—	20	1	no	—
1838	C₂×C₄	—	20	1	no	—
1839	C₂×C₄	—	20	2	no	—
1840	C₂×C₄	—	40	1	no	—
1841	C₂×C₄	—	40	1	no	—
1842	C₂×C₄	—	40	1	no	—
1843	C₂×C₄	—	40	1	no	—
1844	C₂×C₄	—	40	1	no	—
1845	C₂×C₄	—	40	1	no	—
1846	C₂×C₄	—	40	1	no	—
1847	C₂×C₄	—	40	1	no	—
1848	C₂×C₄	—	40	1	no	—
1849	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1850	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1851	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1852	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1853	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1854	C₈	—	2	1	no	—
1855	C₈	—	2	1	no	—
1856	C₈	—	2	1	no	—
1857	C₈	—	2	1	no	—
1858	C₈	—	10	1	no	—
1859	C₈	—	10	1	no	—
1860	C₈	—	10	1	no	—
1861	C₈	—	10	1	no	—
1862	C₅	#61561	1	1	yes	characteristic, complemented, Sylow
1863	C₂²	—	2	1	no	—
1864	C₂²	—	2	1	no	—
1865	C₂²	—	2	1	no	—
1866	C₂²	—	2	2	no	—
1867	C₂²	—	2	1	no	—
1868	C₂²	—	2	1	no	—
1869	C₂²	—	4	1	no	—
1870	C₂²	—	4	1	no	—
1871	C₂²	—	4	1	no	—
1872	C₂²	—	4	1	no	—
1873	C₂²	—	4	1	no	—
1874	C₂²	—	5	2	no	—
1875	C₂²	—	5	2	no	—
1876	C₂²	—	8	4	no	—
1877	C₂²	—	10	1	no	—
1878	C₂²	—	10	1	no	—
1879	C₂²	—	10	1	no	—
1880	C₂²	—	10	1	no	—
1881	C₂²	—	10	1	no	—
1882	C₂²	—	10	2	no	—
1883	C₂²	—	10	1	no	—
1884	C₂²	—	10	1	no	—
1885	C₂²	—	20	4	no	—
1886	C₂²	—	20	8	no	—
1887	C₂²	—	20	1	no	—
1888	C₂²	—	20	1	no	—
1889	C₂²	—	20	1	no	—
1890	C₂²	—	20	1	no	—
1891	C₂²	—	20	1	no	—
1892	C₂²	—	20	1	no	—
1893	C₂²	—	20	1	no	—
1894	C₂²	—	20	1	no	—
1895	C₂²	—	20	1	no	—
1896	C₂²	—	20	1	no	—
1897	C₂²	—	20	1	no	—
1898	C₂²	—	40	4	no	—
1899	C₂²	—	40	2	no	—
1900	C₂²	—	40	4	no	—
1901	C₂²	—	40	4	no	—
1902	C₂²	—	40	4	no	—
1903	C₂²	—	80	2	no	—
1904	C₂²	D₅×#135	1	2	yes	—
1905	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1906	C₄	—	2	1	no	—
1907	C₄	—	2	1	no	—
1908	C₄	—	2	1	no	—
1909	C₄	—	2	1	no	—
1910	C₄	—	4	1	no	—
1911	C₄	—	4	1	no	—
1912	C₄	—	4	1	no	—
1913	C₄	—	4	1	no	—
1914	C₄	—	4	1	no	—
1915	C₄	—	4	1	no	—
1916	C₄	—	10	1	no	—
1917	C₄	—	10	1	no	—
1918	C₄	—	10	1	no	—
1919	C₄	—	10	1	no	—
1920	C₄	—	10	1	no	—
1921	C₄	—	20	1	no	—
1922	C₄	—	20	1	no	—
1923	C₄	—	20	1	no	—
1924	C₄	—	20	1	no	—
1925	C₄	C₂×#4149	1	1	yes	characteristic
1926	C₄	D₅×H(5,𝔽₂)	1	1	yes	characteristic
1927	C₂	—	2	2	no	—
1928	C₂	—	4	1	no	—
1929	C₂	—	4	2	no	—
1930	C₂	—	8	1	no	—
1931	C₂	—	10	2	no	—
1932	C₂	—	10	2	no	—
1933	C₂	—	20	1	no	—
1934	C₂	—	20	2	no	—
1935	C₂	—	40	1	no	—
1936	C₂	—	40	1	no	—
1937	C₂	—	40	1	no	—
1938	C₂	#10618563	1	1	yes	characteristic
1939	C₂	C₂×D₅×#135	1	1	yes	characteristic
1940	C₂	#10619108	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂²×D₄×D₅
commutator, cosocle	C₂×C₄×C₅	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₅
Fitting	C₅×#3296	C₂
socle	C₂²×C₅	C₂³×D₄
hypercenter	#3296	D₅
hypocenter	C₅	#61561
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #3296

Complements

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

N	H ≅ G/N	type
1. #10618763	C₂	semidirect
2. D₅×#546	C₂	semidirect
3. C₅×#3296	C₂	semidirect
4. #10615329	C₂	semidirect
5. #10615236	C₂	semidirect
6. #10613384	C₂	semidirect
7. #10613373	C₂	semidirect
8. #10613176	C₂	semidirect
9. #10613173	C₂	semidirect
10. #10613113	C₂	semidirect
11. #10613109	C₂	semidirect
12. #10612918	C₂	semidirect
13. #10612872	C₂	semidirect
14. #10612504	C₂	semidirect
15. #10612494	C₂	semidirect
16. #10612409	C₂	semidirect
17. #10612395	C₂	semidirect
18. #10612361	C₂	semidirect
19. #10612336	C₂	semidirect
20. #10611975	C₂	semidirect
21. #10611957	C₂	semidirect
22. #10611899	C₂	semidirect
23. D₅×#450	C₂	semidirect
24. #10611405	C₂	semidirect
25. #10611385	C₂	semidirect
26. #10611164	C₂	semidirect
27. #10611157	C₂	semidirect
28. #10610577	C₂	semidirect
29. #10610564	C₂	semidirect
30. #10610490	C₂	semidirect
31. C₂×#65062	C₂	semidirect
32. C₂×D₅×#41	C₂²	semidirect
34. C₅×#552	C₂²	semidirect
36. #66163	C₂²	semidirect
37. C₂×#4096	C₂²	semidirect
39. C₂²×#686	C₂²	semidirect
40. C₂×#4065	C₂²	semidirect
41. C₂×#4062	C₂²	semidirect
42. C₂×D₅×SD₁₆	C₂²	semidirect
43. C₂×D₅×SD₁₆	C₂²	semidirect
44. C₂×#4050	C₂²	semidirect
45. C₂²×D₄₀	C₂²	semidirect
49. #66029	C₂²	semidirect
51. #66025	C₂²	semidirect
52. #66010	C₂²	semidirect
53. D₅×#124	C₂²	semidirect
58. #65967	C₂²	semidirect
60. #65964	C₂²	semidirect
61. #65961	C₂²	semidirect
64. #65946	C₂²	semidirect
67. D₅×#121	C₂²	semidirect
70. #65914	C₂²	semidirect
71. #65910	C₂²	semidirect
72. #65888	C₂²	semidirect
74. #65884	C₂²	semidirect
76. C₄×D₄×D₅	C₂²	semidirect
77. #65864	C₂²	semidirect
79. #65858	C₂²	semidirect
81. #65847	C₂²	semidirect
85. C₅×#488	C₂²	semidirect
86. C₅×#483	C₂²	semidirect
87. C₅×#482	C₂²	semidirect
88. C₅×#478	C₂²	semidirect
89. C₅×#467	C₂²	semidirect
90. C₅×#465	C₂²	semidirect
91. C₅×#464	C₂²	semidirect
92. C₅×#452	C₂²	semidirect
93. C₅×#450	C₂²	semidirect
94. C₄×C₅×SD₁₆	C₂²	semidirect
95. C₅×C₈×D₄	C₂²	semidirect
96. C₅×#416	C₂²	semidirect
97. C₂×C₅×#102	C₂²	semidirect
98. #65527	C₂²	semidirect
99. #65507	C₂²	semidirect
100. #65480	C₂²	semidirect
101. #65475	C₂²	semidirect
102. #65475	C₂²	semidirect
103. #65461	C₂²	semidirect
104. #65458	C₂²	semidirect
105. #65458	C₂²	semidirect
106. #65457	C₂²	semidirect
107. #65454	C₂²	semidirect
108. #65405	C₂²	semidirect
109. #65404	C₂²	semidirect
110. C₈×C₂²⋊D₅	C₂²	semidirect
111. C₈×C₂²⋊D₅	C₂²	semidirect
113. C₂×#3952	C₂²	semidirect
114. #65357	C₂²	semidirect
115. #65355	C₂²	semidirect
116. #65348	C₂²	semidirect
117. #65346	C₂²	semidirect
118. #65340	C₂²	semidirect
119. #65340	C₂²	semidirect
120. #65337	C₂²	semidirect
121. #65336	C₂²	semidirect
122. #65335	C₂²	semidirect
123. #65335	C₂²	semidirect
124. #65327	C₂²	semidirect
125. #65326	C₂²	semidirect
126. #65317	C₂²	semidirect
127. C₄×#688	C₂²	semidirect
128. #65305	C₂²	semidirect
129. C₄×#686	C₂²	semidirect
130. D₄×#168	C₂²	semidirect
131. #65292	C₂²	semidirect
132. #65291	C₂²	semidirect
133. #65260	C₂²	semidirect
134. C₂×#3941	C₂²	semidirect
135. #65173	C₂²	semidirect
136. #65173	C₂²	semidirect
137. #65172	C₂²	semidirect
138. #65161	C₂²	semidirect
139. #65160	C₂²	semidirect
140. #65155	C₂²	semidirect
141. #65153	C₂²	semidirect
142. #65153	C₂²	semidirect
143. #65153	C₂²	semidirect
144. #65152	C₂²	semidirect
145. #65152	C₂²	semidirect
146. #65141	C₂²	semidirect
147. #65133	C₂²	semidirect
148. #65133	C₂²	semidirect
149. #65123	C₂²	semidirect
150. #65122	C₂²	semidirect
151. #65108	C₂²	semidirect
152. #65108	C₂²	semidirect
153. #65100	C₂²	semidirect
154. #65100	C₂²	semidirect
155. #65099	C₂²	semidirect
156. #65098	C₂²	semidirect
157. #65098	C₂²	semidirect
158. #65097	C₂²	semidirect
159. #65097	C₂²	semidirect
160. #65096	C₂²	semidirect
161. #65096	C₂²	semidirect
162. #65095	C₂²	semidirect
163. #65095	C₂²	semidirect
164. #65093	C₂²	semidirect
165. #65089	C₂²	semidirect
166. #65087	C₂²	semidirect
167. #65076	C₂²	semidirect
168. #65073	C₂²	semidirect
169. #65072	C₂²	semidirect
170. #65070	C₂²	semidirect
171. #65067	C₂²	semidirect
172. #65065	C₂²	semidirect
173. #65065	C₂²	semidirect
174. #65064	C₂²	semidirect
179. #65062	C₂²	semidirect
180. #65062	C₂²	semidirect
181. #65062	C₂²	semidirect
182. #65062	C₂²	semidirect
183. #65061	C₂²	semidirect
184. D₅×#102	C₂²	semidirect
185. D₅×#102	C₂²	semidirect
186. #65057	C₂²	semidirect
187. #65056	C₂²	semidirect
188. #65055	C₂²	semidirect
189. #65047	C₂²	semidirect
190. #65045	C₂²	semidirect
191. #65023	C₂²	semidirect
192. #65023	C₂²	semidirect
193. #65020	C₂²	semidirect
194. #65020	C₂²	semidirect
195. #65014	C₂²	semidirect
196. #65014	C₂²	semidirect
198. D₅×C₂²⋊C₈	C₂²	semidirect
199. #64985	C₂²	semidirect
200. C₄×D₄₀	C₂²	semidirect
201. C₈×D₂₀	C₂²	semidirect
202. #64974	C₂²	semidirect
211. C₂×#713	C₂³	semidirect
229. C₂×#709	C₂³	semidirect
237. C₂×C₅×Q₁₆	C₂³	semidirect
241. C₂²×C₅×C₈	C₂³	semidirect
244. C₅×#125	C₂³	semidirect
250. C₅×C₂²⋊Q₈	C₂³	semidirect
254. C₄×C₅×Q₈	C₂³	semidirect
258. C₅×#117	C₂³	semidirect
265. #4093	C₂³	semidirect
268. C₂×#689	C₂³	semidirect
269. C₂×#689	C₂³	semidirect
272. C₂×#688	C₂³	semidirect
273. C₂×#688	C₂³	semidirect
296. #4076	C₂³	semidirect
309. C₂²×#168	C₂³	semidirect
314. C₂×Dic₂₀	C₂³	semidirect
323. C₂×#677	C₂³	semidirect
324. C₂×#677	C₂³	semidirect
327. C₂×C₈×D₅	C₂³	semidirect
328. C₂×C₈×D₅	C₂³	semidirect
336. #4043	C₂³	semidirect
351. #4041	C₂³	semidirect
366. #4039	C₂³	semidirect
368. #4038	C₂³	semidirect
374. #4036	C₂³	semidirect
376. #4033	C₂³	semidirect
420. #4021	C₂³	semidirect
428. C₄×D₂₀	C₂³	semidirect
431. C₅×#107	C₂³	semidirect
432. C₅×#106	C₂³	semidirect
433. C₅×#106	C₂³	semidirect
434. C₅×C₄⋊C₈	C₂³	semidirect
435. C₅×#103	C₂³	semidirect
436. C₅×#103	C₂³	semidirect
437. C₅×#103	C₂³	semidirect
438. C₅×#103	C₂³	semidirect
446. C₅×C₂²⋊C₈	C₂³	semidirect
447. C₄×C₅×C₈	C₂³	semidirect
448. #3967	C₂³	semidirect
449. #3967	C₂³	semidirect
453. C₂²⋊#168	C₂³	semidirect
456. #3953	C₂³	semidirect
457. #3953	C₂³	semidirect
464. #3952	C₂³	semidirect
465. #3952	C₂³	semidirect
466. #3950	C₂³	semidirect
467. #3948	C₂³	semidirect
468. #3948	C₂³	semidirect
469. #3946	C₂³	semidirect
470. #3946	C₂³	semidirect
471. C₈×Dic₅	C₂³	semidirect
472. C₈×Dic₅	C₂³	semidirect
473. #3942	C₂³	semidirect
474. #3942	C₂³	semidirect
475. #3942	C₂³	semidirect
476. #3942	C₂³	semidirect
483. #3941	C₂³	semidirect
484. #3941	C₂³	semidirect
485. #3940	C₂³	semidirect
486. #3940	C₂³	semidirect
487. #3939	C₂³	semidirect
488. #3939	C₂³	semidirect
489. C₄⋊#168	C₂³	semidirect
490. C₄×#168	C₂³	semidirect
500. #3296	D₅	semidirect
788. #552	C₂×D₅	semidirect
833. #488	C₂×D₅	semidirect
839. #483	C₂×D₅	semidirect
843. #482	C₂×D₅	semidirect
849. #478	C₂×D₅	semidirect
853. #467	C₂×D₅	semidirect
865. #465	C₂×D₅	semidirect
869. #464	C₂×D₅	semidirect
881. #452	C₂×D₅	semidirect
895. #450	C₂×D₅	semidirect
917. C₄×SD₁₆	C₂×D₅	semidirect
929. C₈×D₄	C₂×D₅	semidirect
935. #416	C₂×D₅	semidirect
939. C₂×#102	C₂×D₅	semidirect
979. C₂²×D₅	#135	semidirect
1135. C₂×Q₁₆	C₂²×D₅	semidirect
1167. C₂²×C₈	C₂²×D₅	semidirect
1177. #125	C₂²×D₅	semidirect
1221. C₂²⋊Q₈	C₂²×D₅	semidirect
1263. C₄×Q₈	C₂²×D₅	semidirect
1295. #117	C₂²×D₅	semidirect
1325. #107	C₂²×D₅	semidirect
1328. #106	C₂²×D₅	semidirect
1329. #106	C₂²×D₅	semidirect
1333. C₄⋊C₈	C₂²×D₅	semidirect
1342. #103	C₂²×D₅	semidirect
1343. #103	C₂²×D₅	semidirect
1344. #103	C₂²×D₅	semidirect
1345. #103	C₂²×D₅	semidirect
1377. C₂²⋊C₈	C₂²×D₅	semidirect
1381. C₄×C₈	C₂²×D₅	semidirect
1862. C₅	#61561	semidirect

Maximal subgroups

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

subgroup	index
#10618763	2
D₅×#546	2
C₅×#3296	2
#10615329	2
#10615236	2
#10613384	2
#10613373	2
#10613176	2
#10613173	2
#10613113	2
#10613109	2
#10612918	2
#10612872	2
#10612504	2
#10612494	2
#10612409	2
#10612395	2
#10612361	2
#10612336	2
#10611975	2
#10611957	2
#10611899	2
D₅×#450	2
#10611405	2
#10611385	2
#10611164	2
#10611157	2
#10610577	2
#10610564	2
#10610490	2
C₂×#65062	2
#61561	5