Subgroups — #12974194

Order 1280.

1788 conjugacy classes of subgroups.

The subgroup lattice has 1744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10618387	C₂	1	1	yes	maximal, characteristic, complemented
2	#10617795	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#3119	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615165	C₂	1	1	yes	maximal, characteristic, complemented
5	#10614299	C₂	1	1	yes	maximal, characteristic, complemented
6	#10613061	C₂	1	1	yes	maximal, characteristic, complemented
7	#10613050	C₂	1	1	yes	maximal, characteristic, complemented
8	#10613018	C₂	1	1	yes	maximal, characteristic, complemented
9	#10613007	C₂	1	1	yes	maximal, characteristic, complemented
10	#10612970	C₂	1	1	yes	maximal, characteristic, complemented
11	#10612945	C₂	1	1	yes	maximal, characteristic, complemented
12	#10612915	C₂	1	1	yes	maximal, characteristic, complemented
13	#10612906	C₂	1	1	yes	maximal, characteristic, complemented
14	#10612121	C₂	1	1	yes	maximal, characteristic, complemented
15	#10612099	C₂	1	1	yes	maximal, characteristic, complemented
16	#10612078	C₂	1	1	yes	maximal, characteristic, complemented
17	#10612070	C₂	1	1	yes	maximal, characteristic, complemented
18	#10611825	C₂	1	1	yes	maximal, characteristic, complemented
19	#10611824	C₂	1	1	yes	maximal, characteristic, complemented
20	#10611809	C₂	1	1	yes	maximal, characteristic, complemented
21	#10611809	C₂	1	1	yes	maximal, characteristic, complemented
22	#10611607	C₂	1	1	yes	maximal, characteristic, complemented
23	#10611605	C₂	1	1	yes	maximal, characteristic, complemented
24	#10611521	C₂	1	1	yes	maximal, characteristic, complemented
25	#10611518	C₂	1	1	yes	maximal, characteristic, complemented
26	#10611395	C₂	1	1	yes	maximal, characteristic, complemented
27	#10611390	C₂	1	1	yes	maximal, characteristic, complemented
28	#10611330	C₂	1	1	yes	maximal, characteristic, complemented
29	#10611327	C₂	1	1	yes	maximal, characteristic, complemented
30	#10611115	C₂	1	1	yes	maximal, characteristic, complemented
31	#10611104	C₂	1	1	yes	maximal, characteristic, complemented
32	C₅×#540	C₂²	1	1	yes	characteristic
33	C₅×#520	C₂²	1	1	yes	characteristic, complemented
34	#66167	C₂²	1	1	yes	characteristic
35	#66166	C₂²	1	1	yes	characteristic, complemented
36	#66053	C₂²	1	1	yes	characteristic
37	D₅×#127	C₂²	1	1	yes	characteristic
38	#66032	C₂²	1	1	yes	characteristic
39	#66022	C₂²	1	1	yes	characteristic
40	#65998	—	2	1	no	—
41	#65998	—	2	1	no	—
42	#65988	—	2	1	no	—
43	#65988	—	2	1	no	—
44	#65944	—	2	1	no	—
45	#65944	—	2	1	no	—
46	#65941	C₂²	1	1	yes	characteristic
47	#65941	C₂²	1	1	yes	characteristic
48	#65933	—	2	1	no	—
49	#65933	—	2	1	no	—
50	#65930	C₂²	1	1	yes	characteristic
51	#65930	C₂²	1	1	yes	characteristic
52	#65917	C₂²	1	1	yes	characteristic
53	#65917	C₂²	1	1	yes	characteristic, complemented
54	#65914	C₂²	1	1	yes	characteristic
55	#65914	C₂²	1	1	yes	characteristic, complemented
56	#65899	—	2	1	no	—
57	#65899	—	2	1	no	—
58	#65896	C₂²	1	1	yes	characteristic
59	#65896	C₂²	1	1	yes	characteristic, complemented
60	#65891	C₂²	1	1	yes	characteristic
61	#65891	C₂²	1	1	yes	characteristic, complemented
62	#65882	C₂²	1	1	yes	characteristic
63	#65882	C₂²	1	1	yes	characteristic
64	#65879	C₂²	1	1	yes	characteristic
65	#65879	C₂²	1	1	yes	characteristic
66	#65874	—	2	1	no	—
67	#65874	—	2	1	no	—
68	#65869	C₂²	1	1	yes	characteristic
69	#65864	—	2	1	no	—
70	#65863	—	2	1	no	—
71	#65857	C₂²	1	1	yes	characteristic, complemented
72	#65856	C₂²	1	1	yes	characteristic
73	#65848	—	2	1	no	—
74	#65847	—	2	1	no	—
75	#65844	C₂²	1	1	yes	characteristic
76	C₂×#4036	C₂²	1	1	yes	characteristic, complemented
77	C₅×#481	C₂²	1	1	yes	characteristic, complemented
78	C₅×#480	C₂²	1	1	yes	characteristic, complemented
79	C₅×#479	C₂²	1	1	yes	characteristic, complemented
80	C₅×#478	C₂²	1	1	yes	characteristic, complemented
81	C₅×#460	C₂²	1	1	yes	characteristic
82	C₅×#459	C₂²	1	1	yes	characteristic
83	C₅×#449	C₂²	1	1	yes	characteristic, complemented
84	C₅×#449	C₂²	1	1	yes	characteristic, complemented
85	C₅×#442	C₂²	1	1	yes	characteristic, complemented
86	C₅×#440	C₂²	1	1	yes	characteristic, complemented
87	C₄×C₅×SD₁₆	C₂²	1	1	yes	characteristic, complemented
88	C₄×C₅×D₈	C₂²	1	1	yes	characteristic, complemented
89	C₅×#433	C₂²	1	1	yes	characteristic, complemented
90	#65527	C₂²	1	1	yes	characteristic, complemented
91	#65527	C₂²	1	1	yes	characteristic, complemented
92	#65465	C₂²	1	1	yes	characteristic
93	#65465	C₂²	1	1	yes	characteristic
94	#65463	C₂²	1	1	yes	characteristic, complemented
95	#65460	C₂²	1	1	yes	characteristic, complemented
96	#65458	C₂²	1	1	yes	characteristic
97	#65458	C₂²	1	1	yes	characteristic
98	#65451	C₂²	1	1	yes	characteristic, complemented
99	#65451	C₂²	1	1	yes	characteristic, complemented
100	#65448	C₂²	1	1	yes	characteristic, complemented
101	#65446	C₂²	1	1	yes	characteristic, complemented
102	#65445	C₂²	1	1	yes	characteristic
103	#65445	C₂²	1	1	yes	characteristic
104	#65443	C₂²	1	1	yes	characteristic
105	#65443	C₂²	1	1	yes	characteristic
106	#65439	C₂²	1	1	yes	characteristic, complemented
107	#65439	C₂²	1	1	yes	characteristic, complemented
108	#65364	C₂²	1	1	yes	characteristic
109	#65361	C₂²	1	1	yes	characteristic
110	#65355	C₂²	1	1	yes	characteristic, complemented
111	#65352	C₂²	1	1	yes	characteristic, complemented
112	#65326	C₂²	1	1	yes	characteristic, complemented
113	#65326	C₂²	1	1	yes	characteristic, complemented
114	#65323	C₂²	1	1	yes	characteristic, complemented
115	#65322	C₂²	1	1	yes	characteristic, complemented
116	#65316	C₂²	1	1	yes	characteristic
117	#65315	C₂²	1	1	yes	characteristic, complemented
118	C₄×#688	C₂²	1	1	yes	characteristic, complemented
119	#65311	C₂²	1	1	yes	characteristic, complemented
120	#65307	C₂²	1	1	yes	characteristic, complemented
121	C₄×#687	C₂²	1	1	yes	characteristic, complemented
122	#65304	C₂²	1	1	yes	characteristic
123	#65303	C₂²	1	1	yes	characteristic, complemented
124	#65303	C₂²	1	1	yes	characteristic, complemented
125	C₄×#686	C₂²	1	1	yes	characteristic, complemented
126	C₄×#686	C₂²	1	1	yes	characteristic, complemented
127	#65298	C₂²	1	1	yes	characteristic, complemented
128	#65289	C₂²	1	1	yes	characteristic, complemented
129	#65257	C₂²	1	1	yes	characteristic, complemented
130	#65256	C₂²	1	1	yes	characteristic, complemented
131	#65180	C₂²	1	1	yes	characteristic, complemented
132	#65180	C₂²	1	1	yes	characteristic, complemented
133	#65177	C₂²	1	1	yes	characteristic
134	#65175	C₂²	1	1	yes	characteristic, complemented
135	#65174	C₂²	1	1	yes	characteristic
136	#65172	C₂²	1	1	yes	characteristic, complemented
137	#65165	C₂²	1	1	yes	characteristic, complemented
138	#65165	C₂²	1	1	yes	characteristic, complemented
139	#65160	C₂²	1	1	yes	characteristic, complemented
140	#65160	C₂²	1	1	yes	characteristic, complemented
141	#65156	C₂²	1	1	yes	characteristic
142	#65155	C₂²	1	1	yes	characteristic
143	#65154	C₂²	1	1	yes	characteristic, complemented
144	#65153	C₂²	1	1	yes	characteristic, complemented
145	#65145	C₂²	1	1	yes	characteristic, complemented
146	#65145	C₂²	1	1	yes	characteristic, complemented
147	#65137	C₂²	1	1	yes	characteristic
148	#65136	C₂²	1	1	yes	characteristic, complemented
149	#65132	C₂²	1	1	yes	characteristic
150	#65128	C₂²	1	1	yes	characteristic, complemented
151	#65128	C₂²	1	1	yes	characteristic, complemented
152	#65124	C₂²	1	1	yes	characteristic
153	#65124	C₂²	1	1	yes	characteristic
154	#65118	C₂²	1	1	yes	characteristic, complemented
155	#65107	C₂²	1	1	yes	characteristic, complemented
156	#65107	C₂²	1	1	yes	characteristic, complemented
157	#65104	C₂²	1	1	yes	characteristic
158	#65103	C₂²	1	1	yes	characteristic
159	#65101	C₂²	1	1	yes	characteristic, complemented
160	#65096	C₂²	1	1	yes	characteristic, complemented
161	#65084	C₂²	1	1	yes	characteristic, complemented
162	#65084	C₂²	1	1	yes	characteristic, complemented
163	#65075	C₂²	1	1	yes	characteristic, complemented
164	#65075	C₂²	1	1	yes	characteristic, complemented
165	#65073	C₂²	1	1	yes	characteristic
166	#65071	C₂²	1	1	yes	characteristic, complemented
167	#65071	C₂²	1	1	yes	characteristic, complemented
168	#65069	C₂²	1	1	yes	characteristic, complemented
169	#65068	C₂²	1	1	yes	characteristic
170	#65067	C₂²	1	1	yes	characteristic, complemented
171	#65065	C₂²	1	1	yes	characteristic
172	#65065	C₂²	1	1	yes	characteristic
173	#65064	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	#65055	C₂²	1	1	yes	characteristic, complemented
178	#65055	C₂²	1	1	yes	characteristic, complemented
179	#65054	C₂²	1	1	yes	characteristic, complemented
180	#65054	C₂²	1	1	yes	characteristic, complemented
181	#65053	C₂²	1	1	yes	characteristic
182	#65053	C₂²	1	1	yes	characteristic
183	#65053	C₂²	1	1	yes	characteristic
184	#65053	C₂²	1	1	yes	characteristic
185	#65052	C₂²	1	1	yes	characteristic, complemented
186	#65052	C₂²	1	1	yes	characteristic, complemented
187	#65025	C₂²	1	1	yes	characteristic, complemented
188	#65024	C₂²	1	1	yes	characteristic, complemented
189	#65023	C₂²	1	1	yes	characteristic, complemented
190	#65023	C₂²	1	1	yes	characteristic, complemented
191	#65016	C₂²	1	1	yes	characteristic
192	#65016	C₂²	1	1	yes	characteristic
193	#65008	C₂²	1	1	yes	characteristic, complemented
194	#65008	C₂²	1	1	yes	characteristic, complemented
195	#65000	C₂²	1	1	yes	characteristic, complemented
196	#64999	C₂²	1	1	yes	characteristic, complemented
197	#64998	C₂²	1	1	yes	characteristic
198	D₅×#97	C₂²	1	1	yes	characteristic, complemented
199	C₄×D₄₀	C₂²	1	1	yes	characteristic, complemented
200	C₄×#677	C₂²	1	1	yes	characteristic, complemented
201	#64979	C₂²	1	1	yes	characteristic
202	C₄×#676	C₂²	1	1	yes	characteristic, complemented
203	#61019	—	5	1	no	maximal, Sylow
204	C₂×C₅×#41	C₂³	1	1	yes	characteristic
205	C₂×#711	—	2	1	no	—
206	C₂×#711	—	2	1	no	—
207	C₂×D₄×D₅	—	2	1	no	—
208	C₂×D₄×D₅	—	2	1	no	—
209	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
210	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
211	C₂×#709	—	2	1	no	—
212	C₂×#709	—	2	1	no	—
213	C₂×#709	C₂³	1	1	yes	characteristic
214	C₂×#709	C₂³	1	1	yes	characteristic
215	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
216	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
217	C₂×C₅×D₈	C₂³	1	1	yes	characteristic
218	C₂×C₅×D₈	C₂³	1	1	yes	characteristic
219	C₅×#127	C₂³	1	1	yes	characteristic
220	C₅×#125	C₂³	1	1	yes	characteristic
221	C₅×#123	—	2	1	no	—
222	C₅×#123	—	2	1	no	—
223	C₅×#121	—	2	1	no	—
224	C₅×#121	—	2	1	no	—
225	C₅×#121	C₂³	1	1	yes	characteristic
226	C₅×#121	C₂³	1	1	yes	characteristic
227	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
228	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
229	C₄×C₅×D₄	—	2	1	no	—
230	C₄×C₅×D₄	—	2	1	no	—
231	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
232	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
233	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
234	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
235	C₅×#117	—	2	1	no	—
236	C₅×#117	C₂³	1	1	yes	characteristic
237	C₂×C₅×C₄⋊C₄	—	2	1	no	—
238	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
239	#4093	C₂³	1	1	yes	characteristic
240	#4092	C₂³	1	1	yes	characteristic
241	#4092	C₂³	1	1	yes	characteristic
242	#4090	C₂³	1	1	yes	characteristic
243	C₂×#688	C₂³	1	1	yes	characteristic
244	C₂×#688	C₂³	1	1	yes	characteristic
245	#4086	—	2	1	no	—
246	#4086	—	2	1	no	—
247	#4086	—	2	1	no	—
248	#4086	—	2	1	no	—
249	#4086	C₂³	1	1	yes	characteristic
250	#4086	C₂³	1	1	yes	characteristic
251	#4086	C₂³	1	1	yes	characteristic
252	#4085	—	2	1	no	—
253	#4085	—	2	1	no	—
254	#4085	—	2	1	no	—
255	#4085	—	2	1	no	—
256	#4085	—	2	1	no	—
257	#4085	—	2	1	no	—
258	#4085	—	2	1	no	—
259	#4085	—	2	1	no	—
260	#4084	C₂³	1	1	yes	characteristic
261	#4084	C₂³	1	1	yes	characteristic
262	#4084	C₂³	1	1	yes	characteristic
263	#4084	C₂³	1	1	yes	characteristic
264	#4083	—	2	1	no	—
265	#4083	—	2	1	no	—
266	#4082	C₂³	1	1	yes	characteristic
267	#4081	—	2	1	no	—
268	#4081	—	2	1	no	—
269	D₄×Dic₅	C₂³	1	1	yes	characteristic
270	D₄×Dic₅	C₂³	1	1	yes	characteristic
271	C₂×#687	C₂³	1	1	yes	characteristic
272	C₂×#687	C₂³	1	1	yes	characteristic
273	C₂×#686	C₂³	1	1	yes	characteristic
274	C₂×#686	C₂³	1	1	yes	characteristic
275	C₂×#686	C₂³	1	1	yes	characteristic
276	C₂×#686	C₂³	1	1	yes	characteristic
277	#4076	—	2	1	no	—
278	#4076	—	2	1	no	—
279	#4076	—	2	1	no	—
280	#4076	—	2	1	no	—
281	#4076	—	2	1	no	—
282	#4076	C₂³	1	1	yes	characteristic
283	#4076	C₂³	1	1	yes	characteristic
284	#4075	—	2	1	no	—
285	#4075	—	2	1	no	—
286	C₄×C₂²⋊D₅	—	2	1	no	—
287	C₄×C₂²⋊D₅	—	2	1	no	—
288	C₄×C₂²⋊D₅	—	2	1	no	—
289	C₄×C₂²⋊D₅	—	2	1	no	—
290	C₄×C₂²⋊D₅	—	2	1	no	—
291	C₄×C₂²⋊D₅	—	2	1	no	—
292	C₄×C₂²⋊D₅	—	2	1	no	—
293	C₄×C₂²⋊D₅	—	2	1	no	—
294	C₂×#685	—	2	1	no	—
295	C₂×#685	—	2	1	no	—
296	#4072	—	2	1	no	—
297	#4072	—	2	1	no	—
298	C₂×C₄⋊Dic₅	—	2	1	no	—
299	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
300	#4070	—	2	1	no	—
301	C₂×#683	—	2	1	no	—
302	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
303	C₂×D₄₀	C₂³	1	1	yes	characteristic
304	C₂×D₄₀	C₂³	1	1	yes	characteristic
305	C₂×#677	C₂³	1	1	yes	characteristic
306	C₂×#677	C₂³	1	1	yes	characteristic
307	C₂×#676	C₂³	1	1	yes	characteristic
308	C₂×#676	C₂³	1	1	yes	characteristic
309	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
310	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
311	#4044	—	2	1	no	—
312	#4044	—	2	1	no	—
313	#4044	—	2	1	no	—
314	#4044	—	2	1	no	—
315	#4043	—	2	1	no	—
316	#4043	C₂³	1	1	yes	characteristic
317	#4043	C₂³	1	1	yes	characteristic
318	#4042	—	2	1	no	—
319	#4042	—	2	1	no	—
320	#4041	—	2	1	no	—
321	#4041	—	2	1	no	—
322	#4041	—	2	1	no	—
323	#4041	C₂³	1	1	yes	characteristic
324	#4041	C₂³	1	1	yes	characteristic
325	#4041	C₂³	1	1	yes	characteristic
326	#4041	C₂³	1	1	yes	characteristic
327	#4040	—	2	1	no	—
328	#4040	—	2	1	no	—
329	#4040	—	2	1	no	—
330	#4040	—	2	1	no	—
331	#4040	—	2	1	no	—
332	#4040	—	2	1	no	—
333	#4039	D₄	1	1	yes	characteristic
334	#4039	D₄	1	1	yes	characteristic
335	#4039	C₂³	1	1	yes	characteristic
336	#4039	C₂³	1	1	yes	characteristic
337	#4038	—	2	1	no	—
338	#4038	C₂³	1	1	yes	characteristic
339	#4038	C₂³	1	1	yes	characteristic
340	D₅×C₄⋊C₄	—	2	1	no	—
341	#4036	—	2	1	no	—
342	#4036	—	2	1	no	—
343	#4036	C₂³	1	1	yes	characteristic
344	#4036	C₂³	1	1	yes	characteristic
345	#4036	C₂³	1	1	yes	characteristic
346	#4036	C₂³	1	1	yes	characteristic
347	#4035	—	2	1	no	—
348	#4035	—	2	1	no	—
349	#4034	C₂³	1	1	yes	characteristic
350	#4034	C₂³	1	1	yes	characteristic
351	#4033	—	2	1	no	—
352	#4033	—	2	1	no	—
353	#4033	D₄	1	1	yes	characteristic
354	#4033	D₄	1	1	yes	characteristic
355	#4031	—	2	1	no	—
356	#4031	—	2	1	no	—
357	#4031	—	2	1	no	—
358	#4031	—	2	1	no	—
359	#4031	—	2	1	no	—
360	#4031	—	2	1	no	—
361	#4030	—	2	1	no	—
362	#4030	—	2	1	no	—
363	#4030	—	2	1	no	—
364	#4030	—	2	1	no	—
365	#4030	—	2	1	no	—
366	#4030	—	2	1	no	—
367	#4029	—	2	1	no	—
368	#4029	—	2	1	no	—
369	#4029	—	2	1	no	—
370	#4029	—	2	1	no	—
371	#4028	—	2	1	no	—
372	#4028	—	2	1	no	—
373	#4027	—	2	1	no	—
374	#4027	—	2	1	no	—
375	#4027	—	2	1	no	—
376	#4027	—	2	1	no	—
377	#4027	—	2	1	no	—
378	#4027	—	2	1	no	—
379	#4027	D₄	1	1	yes	characteristic
380	#4027	D₄	1	1	yes	characteristic
381	#4027	D₄	1	1	yes	characteristic
382	#4027	D₄	1	1	yes	characteristic
383	D₅×C₂²⋊C₄	—	2	1	no	—
384	D₅×C₂²⋊C₄	—	2	1	no	—
385	#4025	—	2	1	no	—
386	#4025	—	2	1	no	—
387	#4022	—	2	1	no	—
388	#4022	—	2	1	no	—
389	#4020	C₂³	1	1	yes	characteristic
390	C₄×D₂₀	—	2	1	no	—
391	C₄×D₂₀	—	2	1	no	—
392	C₄×D₂₀	C₂³	1	1	yes	characteristic
393	C₄×D₂₀	C₂³	1	1	yes	characteristic
394	C₄×D₂₀	C₂³	1	1	yes	characteristic
395	C₄×D₂₀	C₂³	1	1	yes	characteristic
396	#4018	—	2	1	no	—
397	#4018	—	2	1	no	—
398	#4018	C₂³	1	1	yes	characteristic
399	#4018	C₂³	1	1	yes	characteristic
400	C₄²×D₅	C₂³	1	1	yes	characteristic
401	C₄²×D₅	C₂³	1	1	yes	characteristic
402	#4016	—	2	1	no	—
403	#4016	—	2	1	no	—
404	#4016	C₂³	1	1	yes	characteristic
405	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
406	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
407	C₅×#107	C₂³	1	1	yes	characteristic
408	C₅×#107	C₂³	1	1	yes	characteristic
409	C₅×#106	C₂³	1	1	yes	characteristic
410	C₅×#106	C₂³	1	1	yes	characteristic
411	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
412	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
413	C₅×#103	C₂³	1	1	yes	characteristic
414	C₅×#103	C₂³	1	1	yes	characteristic
415	C₅×#102	C₂³	1	1	yes	characteristic
416	C₅×#102	C₂³	1	1	yes	characteristic
417	C₅×#102	C₂³	1	1	yes	characteristic
418	C₅×#102	C₂³	1	1	yes	characteristic
419	C₅×#102	C₂³	1	1	yes	characteristic
420	C₅×#102	C₂³	1	1	yes	characteristic
421	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
422	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
423	C₅×#97	C₂³	1	1	yes	characteristic
424	C₄×C₅×C₈	C₂³	1	1	yes	characteristic
425	#3967	C₂³	1	1	yes	characteristic
426	#3967	C₂³	1	1	yes	characteristic
427	#3964	C₂³	1	1	yes	characteristic
428	#3964	C₂³	1	1	yes	characteristic
429	#3964	C₂³	1	1	yes	characteristic
430	#3964	C₂³	1	1	yes	characteristic
431	#3964	C₂³	1	1	yes	characteristic
432	#3964	C₂³	1	1	yes	characteristic
433	C₂²⋊#168	C₂³	1	1	yes	characteristic
434	C₂²⋊#168	C₂³	1	1	yes	characteristic
435	#3953	C₂³	1	1	yes	characteristic
436	#3953	C₂³	1	1	yes	characteristic
437	#3953	C₂³	1	1	yes	characteristic
438	#3953	C₂³	1	1	yes	characteristic
439	#3953	C₂³	1	1	yes	characteristic
440	#3953	C₂³	1	1	yes	characteristic
441	#3952	C₂³	1	1	yes	characteristic
442	#3952	C₂³	1	1	yes	characteristic
443	#3952	C₂³	1	1	yes	characteristic
444	#3952	C₂³	1	1	yes	characteristic
445	#3950	C₂³	1	1	yes	characteristic
446	#3950	C₂³	1	1	yes	characteristic
447	#3949	C₂³	1	1	yes	characteristic
448	#3949	C₂³	1	1	yes	characteristic
449	#3948	C₂³	1	1	yes	characteristic
450	#3948	C₂³	1	1	yes	characteristic
451	#3947	C₂³	1	1	yes	characteristic
452	#3947	C₂³	1	1	yes	characteristic
453	#3947	C₂³	1	1	yes	characteristic
454	#3947	C₂³	1	1	yes	characteristic
455	#3946	C₂³	1	1	yes	characteristic
456	#3946	C₂³	1	1	yes	characteristic
457	#3946	C₂³	1	1	yes	characteristic
458	#3946	C₂³	1	1	yes	characteristic
459	#3942	C₂³	1	1	yes	characteristic
460	#3942	C₂³	1	1	yes	characteristic
461	#3941	C₂³	1	1	yes	characteristic
462	#3941	C₂³	1	1	yes	characteristic
463	#3941	C₂³	1	1	yes	characteristic
464	#3941	C₂³	1	1	yes	characteristic
465	#3941	C₂³	1	1	yes	characteristic
466	#3941	C₂³	1	1	yes	characteristic
467	#3940	C₂³	1	1	yes	characteristic
468	#3940	C₂³	1	1	yes	characteristic
469	#3940	C₂³	1	1	yes	characteristic
470	#3940	C₂³	1	1	yes	characteristic
471	#3939	C₂³	1	1	yes	characteristic
472	#3939	C₂³	1	1	yes	characteristic
473	#3939	C₂³	1	1	yes	characteristic
474	#3939	C₂³	1	1	yes	characteristic
475	C₄⋊#168	C₂³	1	1	yes	characteristic
476	C₄⋊#168	C₂³	1	1	yes	characteristic
477	#3935	C₂³	1	1	yes	characteristic
478	C₄×#168	C₂³	1	1	yes	characteristic
479	#3512	—	5	1	no	—
480	#3508	—	5	1	no	—
481	#3260	—	5	1	no	—
482	#3260	—	5	1	no	—
483	#3259	—	5	1	no	—
484	#3259	—	5	1	no	—
485	#3240	—	5	1	no	—
486	#3240	—	5	1	no	—
487	#3234	—	5	1	no	—
488	#3234	—	5	1	no	—
489	#3217	—	5	1	no	—
490	#3217	—	5	1	no	—
491	#3214	—	5	1	no	—
492	#3214	—	5	1	no	—
493	#3198	—	5	1	no	—
494	#3198	—	5	1	no	—
495	#3198	—	5	1	no	—
496	#3198	—	5	1	no	—
497	#3180	—	5	1	no	—
498	#3180	—	5	1	no	—
499	#3171	—	5	1	no	—
500	#3171	—	5	1	no	—
501	#3123	—	5	1	no	—
502	#3123	—	5	1	no	—
503	#3122	—	5	1	no	—
504	#3122	—	5	1	no	—
505	#3119	—	5	1	no	—
506	#3119	—	5	1	no	—
507	#3119	—	5	1	no	—
508	#3119	D₅	1	1	yes	characteristic, complemented
509	#2923	—	5	1	no	—
510	C₂³×D₅	—	2	1	no	—
511	C₂³×D₅	—	2	1	no	—
512	C₅×#41	—	4	1	no	—
513	C₅×#41	—	4	1	no	—
514	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
515	C₂×C₅×D₄	—	2	1	no	—
516	C₂×C₅×D₄	—	2	1	no	—
517	C₂×C₅×D₄	—	2	1	no	—
518	C₂×C₅×D₄	—	2	1	no	—
519	C₂×C₅×D₄	—	2	1	no	—
520	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
521	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
522	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
523	C₂²×C₄×C₅	—	2	1	no	—
524	C₂²×C₄×C₅	—	2	1	no	—
525	C₂²×C₄×C₅	—	2	1	no	—
526	C₂²×C₄×C₅	—	2	1	no	—
527	C₂²×C₄×C₅	—	2	1	no	—
528	C₂²×C₄×C₅	—	2	1	no	—
529	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
530	C₂×C₂²⋊D₅	—	2	1	no	—
531	C₂×C₂²⋊D₅	—	2	1	no	—
532	C₂×C₂²⋊D₅	—	2	1	no	—
533	C₂×C₂²⋊D₅	—	2	1	no	—
534	C₂×C₂²⋊D₅	—	2	1	no	—
535	C₂×C₂²⋊D₅	—	2	1	no	—
536	C₂×C₂²⋊D₅	—	2	1	no	—
537	C₂×C₂²⋊D₅	—	2	1	no	—
538	C₂×C₂²⋊D₅	—	2	1	no	—
539	C₂×C₂²⋊D₅	—	2	1	no	—
540	C₂×C₂²⋊D₅	—	2	1	no	—
541	C₂×C₂²⋊D₅	—	2	1	no	—
542	C₂×C₂²⋊D₅	—	2	1	no	—
543	C₂×C₂²⋊D₅	—	2	1	no	—
544	C₂×C₂²⋊D₅	—	2	1	no	—
545	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
546	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
547	C₂²×Dic₅	—	2	1	no	—
548	C₂²×Dic₅	—	2	1	no	—
549	C₂²×Dic₅	—	2	1	no	—
550	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
551	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
552	#711	—	8	2	no	—
553	#711	—	8	2	no	—
554	D₄×D₅	—	4	1	no	—
555	D₄×D₅	—	4	1	no	—
556	D₄×D₅	—	4	1	no	—
557	D₄×D₅	—	4	1	no	—
558	D₄×D₅	—	8	2	no	—
559	D₄×D₅	—	8	2	no	—
560	#709	—	4	1	no	—
561	#709	—	4	1	no	—
562	#709	—	4	1	no	—
563	#709	—	4	1	no	—
564	#709	—	8	2	no	—
565	#709	—	8	2	no	—
566	C₂×D₂₀	—	2	1	no	—
567	C₂×D₂₀	—	2	1	no	—
568	C₂×D₂₀	—	2	1	no	—
569	C₂×D₂₀	—	2	1	no	—
570	C₂×D₂₀	—	2	1	no	—
571	C₂×D₂₀	—	2	1	no	—
572	C₂×D₂₀	C₂×D₄	1	1	yes	characteristic
573	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
574	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
575	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
576	C₂×C₄×D₅	—	2	1	no	—
577	C₂×C₄×D₅	—	2	1	no	—
578	C₂×C₄×D₅	—	2	1	no	—
579	C₂×C₄×D₅	—	2	1	no	—
580	C₂×C₄×D₅	—	2	1	no	—
581	C₂×C₄×D₅	—	2	1	no	—
582	C₂×C₄×D₅	—	2	1	no	—
583	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
584	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
585	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
586	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
587	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
588	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
589	C₂×Dic₁₀	—	2	1	no	—
590	C₂×Dic₁₀	—	2	1	no	—
591	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
592	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
593	C₅×SD₁₆	—	4	1	no	—
594	C₅×SD₁₆	—	4	1	no	—
595	C₅×D₈	—	4	1	no	—
596	C₅×D₈	—	4	1	no	—
597	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
598	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
599	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
600	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
601	C₅×C₄⋊C₄	—	2	1	no	—
602	C₅×C₄⋊C₄	—	2	1	no	—
603	C₅×C₄⋊C₄	—	2	1	no	—
604	C₅×C₄⋊C₄	—	2	1	no	—
605	C₅×C₄⋊C₄	—	2	1	no	—
606	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
607	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
608	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
609	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
610	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
611	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
612	C₅×C₂²⋊C₄	—	2	1	no	—
613	C₅×C₂²⋊C₄	—	2	1	no	—
614	C₅×C₂²⋊C₄	—	2	1	no	—
615	C₅×C₂²⋊C₄	—	2	1	no	—
616	C₅×C₂²⋊C₄	—	2	1	no	—
617	C₅×C₂²⋊C₄	—	2	1	no	—
618	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
619	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
620	C₄²×C₅	—	2	1	no	—
621	C₄²×C₅	—	2	1	no	—
622	C₄²×C₅	C₂⁴	1	1	yes	characteristic
623	C₄²×C₅	C₂⁴	1	1	yes	characteristic
624	C₂²⋊Dic₅	—	2	1	no	—
625	C₂²⋊Dic₅	—	2	1	no	—
626	C₂²⋊Dic₅	—	2	1	no	—
627	C₂²⋊Dic₅	—	2	1	no	—
628	C₂²⋊Dic₅	—	2	1	no	—
629	C₂²⋊Dic₅	—	2	1	no	—
630	C₂²⋊Dic₅	—	2	1	no	—
631	C₂²⋊Dic₅	—	2	1	no	—
632	#688	—	4	1	no	—
633	#688	—	4	1	no	—
634	#687	—	4	1	no	—
635	#687	—	4	1	no	—
636	#686	—	4	1	no	—
637	#686	—	4	1	no	—
638	#686	—	4	1	no	—
639	#686	—	4	1	no	—
640	#685	—	2	1	no	—
641	#685	—	2	1	no	—
642	#685	—	2	1	no	—
643	#685	—	2	1	no	—
644	#685	—	2	1	no	—
645	#685	—	2	1	no	—
646	#685	—	2	1	no	—
647	#685	—	2	1	no	—
648	#685	—	2	1	no	—
649	#685	—	2	1	no	—
650	#685	—	2	1	no	—
651	#685	—	2	1	no	—
652	#685	—	2	1	no	—
653	#685	—	2	1	no	—
654	#685	—	2	1	no	—
655	#685	—	2	1	no	—
656	#685	—	2	1	no	—
657	#685	—	2	1	no	—
658	#685	—	2	1	no	—
659	#685	—	2	1	no	—
660	#685	C₂×D₄	1	1	yes	characteristic
661	#685	C₂×D₄	1	1	yes	characteristic
662	#685	C₂×D₄	1	1	yes	characteristic
663	#685	C₂×D₄	1	1	yes	characteristic
664	C₄⋊Dic₅	—	2	1	no	—
665	C₄⋊Dic₅	—	2	1	no	—
666	C₄⋊Dic₅	—	2	1	no	—
667	C₄⋊Dic₅	—	2	1	no	—
668	C₄⋊Dic₅	—	2	1	no	—
669	C₄⋊Dic₅	—	2	1	no	—
670	C₄⋊Dic₅	—	2	1	no	—
671	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
672	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
673	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
674	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
675	#683	—	2	1	no	—
676	#683	—	2	1	no	—
677	#683	—	2	1	no	—
678	#683	—	2	1	no	—
679	#683	—	2	1	no	—
680	#683	—	2	1	no	—
681	#683	—	2	1	no	—
682	#683	—	2	1	no	—
683	#683	—	2	1	no	—
684	#683	—	2	1	no	—
685	#683	—	2	1	no	—
686	#683	—	2	1	no	—
687	#683	—	2	1	no	—
688	#683	—	2	1	no	—
689	#683	C₂×D₄	1	1	yes	characteristic
690	#683	C₂×D₄	1	1	yes	characteristic
691	#683	C₂×D₄	1	1	yes	characteristic
692	#683	C₂×D₄	1	1	yes	characteristic
693	C₄×Dic₅	—	2	1	no	—
694	C₄×Dic₅	—	2	1	no	—
695	C₄×Dic₅	—	2	1	no	—
696	C₄×Dic₅	—	2	1	no	—
697	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
698	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
699	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
700	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
701	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
702	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
703	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
704	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
705	C₂×#168	C₂⁴	1	1	yes	characteristic
706	C₂×#168	C₂⁴	1	1	yes	characteristic
707	C₂×#168	C₂⁴	1	1	yes	characteristic
708	C₂×#168	C₂⁴	1	1	yes	characteristic
709	D₄₀	—	4	1	no	—
710	D₄₀	—	4	1	no	—
711	#677	—	4	1	no	—
712	#677	—	4	1	no	—
713	#676	—	4	1	no	—
714	#676	—	4	1	no	—
715	C₈×D₅	—	4	1	no	—
716	C₈×D₅	—	4	1	no	—
717	#559	—	10	1	no	—
718	#559	—	10	1	no	—
719	#553	—	10	1	no	—
720	#553	—	10	1	no	—
721	#553	—	10	1	no	—
722	#553	—	10	1	no	—
723	#553	—	10	1	no	—
724	#553	—	10	1	no	—
725	#552	—	10	1	no	—
726	#552	—	10	1	no	—
727	#550	—	10	1	no	—
728	#550	—	10	1	no	—
729	#546	—	10	1	no	—
730	#546	—	10	1	no	—
731	#546	—	10	1	no	—
732	#546	—	10	1	no	—
733	#541	—	5	1	no	—
734	#541	—	5	1	no	—
735	#540	—	5	1	no	—
736	#540	—	5	1	no	—
737	#540	—	5	1	no	—
738	#540	—	5	1	no	—
739	#540	—	5	1	no	—
740	#540	C₂×D₅	1	1	yes	characteristic
741	#537	—	5	1	no	—
742	#537	—	5	1	no	—
743	#535	—	5	1	no	—
744	#535	—	5	1	no	—
745	#533	—	5	1	no	—
746	#532	—	5	1	no	—
747	#532	—	5	1	no	—
748	#532	—	5	1	no	—
749	#532	—	5	1	no	—
750	#532	—	5	1	no	—
751	C₂×#127	—	5	1	no	—
752	#529	—	5	1	no	—
753	#529	—	5	1	no	—
754	#529	—	5	1	no	—
755	#529	—	5	1	no	—
756	C₂×#125	—	5	1	no	—
757	#520	—	5	1	no	—
758	#520	C₂×D₅	1	1	yes	characteristic, complemented
759	#518	—	5	1	no	—
760	#518	—	5	1	no	—
761	C₄×#41	—	5	1	no	—
762	#501	—	5	1	no	—
763	#501	—	5	1	no	—
764	#501	—	5	1	no	—
765	#501	—	5	1	no	—
766	#496	—	5	1	no	—
767	#496	—	5	1	no	—
768	#496	—	5	1	no	—
769	#496	—	5	1	no	—
770	#490	—	5	1	no	—
771	#490	—	5	1	no	—
772	#490	—	5	1	no	—
773	#490	—	5	1	no	—
774	#489	—	5	1	no	—
775	#489	—	5	1	no	—
776	#489	—	5	1	no	—
777	#489	—	5	1	no	—
778	#485	—	5	1	no	—
779	#485	—	5	1	no	—
780	#485	—	5	1	no	—
781	#485	—	5	1	no	—
782	#482	—	5	1	no	—
783	#482	—	5	1	no	—
784	#482	—	5	1	no	—
785	#482	—	5	1	no	—
786	#481	—	5	1	no	—
787	#481	—	5	1	no	—
788	#481	—	5	1	no	—
789	#481	C₂×D₅	1	1	yes	characteristic, complemented
790	#480	—	5	1	no	—
791	#480	—	5	1	no	—
792	#480	—	5	1	no	—
793	#480	C₂×D₅	1	1	yes	characteristic, complemented
794	#479	—	5	1	no	—
795	#479	—	5	1	no	—
796	#479	—	5	1	no	—
797	#479	C₂×D₅	1	1	yes	characteristic, complemented
798	#478	—	5	1	no	—
799	#478	—	5	1	no	—
800	#478	—	5	1	no	—
801	#478	—	5	1	no	—
802	#478	—	5	1	no	—
803	#478	—	5	1	no	—
804	#478	—	5	1	no	—
805	#478	—	5	1	no	—
806	#478	—	5	1	no	—
807	#478	—	5	1	no	—
808	#478	—	5	1	no	—
809	#478	C₂×D₅	1	1	yes	characteristic, complemented
810	#469	—	5	1	no	—
811	#469	—	5	1	no	—
812	#469	—	5	1	no	—
813	#469	—	5	1	no	—
814	#468	—	5	1	no	—
815	#468	—	5	1	no	—
816	#468	—	5	1	no	—
817	#468	—	5	1	no	—
818	#466	—	5	1	no	—
819	#466	—	5	1	no	—
820	#466	—	5	1	no	—
821	#466	—	5	1	no	—
822	#465	—	5	1	no	—
823	#465	—	5	1	no	—
824	#465	—	5	1	no	—
825	#465	—	5	1	no	—
826	#461	—	5	1	no	—
827	#461	—	5	1	no	—
828	#461	—	5	1	no	—
829	#461	—	5	1	no	—
830	#460	—	5	1	no	—
831	#460	—	5	1	no	—
832	#460	—	5	1	no	—
833	#460	C₂×D₅	1	1	yes	characteristic
834	#459	—	5	1	no	—
835	#459	—	5	1	no	—
836	#459	—	5	1	no	—
837	#459	—	5	1	no	—
838	#459	—	5	1	no	—
839	#459	—	5	1	no	—
840	#459	—	5	1	no	—
841	#459	C₂×D₅	1	1	yes	characteristic
842	#450	—	5	1	no	—
843	#450	—	5	1	no	—
844	#450	—	5	1	no	—
845	#450	—	5	1	no	—
846	#449	—	5	1	no	—
847	#449	—	5	1	no	—
848	#449	—	5	1	no	—
849	#449	—	5	1	no	—
850	#449	—	5	1	no	—
851	#449	—	5	1	no	—
852	#449	C₂×D₅	1	1	yes	characteristic, complemented
853	#449	C₂×D₅	1	1	yes	characteristic, complemented
854	#447	—	5	1	no	—
855	#447	—	5	1	no	—
856	#447	—	5	1	no	—
857	#447	—	5	1	no	—
858	#442	—	5	1	no	—
859	#442	—	5	1	no	—
860	#442	—	5	1	no	—
861	#442	C₂×D₅	1	1	yes	characteristic, complemented
862	#440	—	5	1	no	—
863	#440	—	5	1	no	—
864	#440	—	5	1	no	—
865	#440	C₂×D₅	1	1	yes	characteristic, complemented
866	C₄×SD₁₆	—	5	1	no	—
867	C₄×SD₁₆	—	5	1	no	—
868	C₄×SD₁₆	—	5	1	no	—
869	C₄×SD₁₆	C₂×D₅	1	1	yes	characteristic, complemented
870	C₄×D₈	—	5	1	no	—
871	C₄×D₈	—	5	1	no	—
872	C₄×D₈	—	5	1	no	—
873	C₄×D₈	C₂×D₅	1	1	yes	characteristic, complemented
874	#433	—	5	1	no	—
875	#433	—	5	1	no	—
876	#433	—	5	1	no	—
877	#433	C₂×D₅	1	1	yes	characteristic, complemented
878	#432	—	5	1	no	—
879	#432	—	5	1	no	—
880	#432	—	5	1	no	—
881	#432	—	5	1	no	—
882	#424	—	5	1	no	—
883	#424	—	5	1	no	—
884	#408	—	5	1	no	—
885	#408	—	5	1	no	—
886	C₄×M₁₆	—	5	1	no	—
887	C₂×#97	—	5	1	no	—
888	C₂³×C₅	—	2	1	no	—
889	C₂³×C₅	—	2	1	no	—
890	C₂³×C₅	—	2	1	no	—
891	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
892	C₂²×D₅	—	2	1	no	—
893	C₂²×D₅	—	2	1	no	—
894	C₂²×D₅	—	2	1	no	—
895	C₂²×D₅	—	4	2	no	—
896	C₂²×D₅	—	4	2	no	—
897	C₂²×D₅	—	8	1	no	—
898	C₂²×D₅	—	8	1	no	—
899	C₂²×D₅	—	8	1	no	—
900	C₂²×D₅	—	8	1	no	—
901	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
902	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
903	C₅×Q₈	—	2	1	no	—
904	C₅×Q₈	—	2	1	no	—
905	C₅×D₄	—	2	1	no	—
906	C₅×D₄	—	2	1	no	—
907	C₅×D₄	—	2	1	no	—
908	C₅×D₄	—	2	1	no	—
909	C₅×D₄	—	2	1	no	—
910	C₅×D₄	—	2	1	no	—
911	C₅×D₄	—	4	2	no	—
912	C₅×D₄	—	8	1	no	—
913	C₅×D₄	—	8	1	no	—
914	C₅×D₄	—	8	1	no	—
915	C₅×D₄	—	8	1	no	—
916	C₂×C₄×C₅	—	2	1	no	—
917	C₂×C₄×C₅	—	2	1	no	—
918	C₂×C₄×C₅	—	2	1	no	—
919	C₂×C₄×C₅	—	2	1	no	—
920	C₂×C₄×C₅	—	2	1	no	—
921	C₂×C₄×C₅	—	2	1	no	—
922	C₂×C₄×C₅	—	2	1	no	—
923	C₂×C₄×C₅	—	4	2	no	—
924	C₂×C₄×C₅	—	8	1	no	—
925	C₂×C₄×C₅	—	8	1	no	—
926	C₂×C₄×C₅	—	8	1	no	—
927	C₂×C₄×C₅	—	8	1	no	—
928	C₂×C₄×C₅	—	8	1	no	—
929	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
930	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
931	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
932	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
933	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
934	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
935	C₂²⋊D₅	—	4	1	no	—
936	C₂²⋊D₅	—	4	1	no	—
937	C₂²⋊D₅	—	4	2	no	—
938	C₂²⋊D₅	—	4	2	no	—
939	C₂²⋊D₅	—	4	2	no	—
940	C₂²⋊D₅	—	4	2	no	—
941	C₂²⋊D₅	—	4	2	no	—
942	C₂²⋊D₅	—	4	2	no	—
943	C₂²⋊D₅	—	4	2	no	—
944	C₂²⋊D₅	—	8	1	no	—
945	C₂²⋊D₅	—	8	1	no	—
946	C₂²⋊D₅	—	8	1	no	—
947	C₂²⋊D₅	—	8	1	no	—
948	C₂²⋊D₅	—	8	1	no	—
949	C₂²⋊D₅	—	8	1	no	—
950	C₂²⋊D₅	—	8	1	no	—
951	C₂²⋊D₅	—	8	1	no	—
952	C₂×Dic₅	—	2	1	no	—
953	C₂×Dic₅	—	2	1	no	—
954	C₂×Dic₅	—	2	1	no	—
955	C₂×Dic₅	—	2	1	no	—
956	C₂×Dic₅	—	2	1	no	—
957	C₂×Dic₅	—	4	1	no	—
958	C₂×Dic₅	—	4	1	no	—
959	C₂×Dic₅	—	8	1	no	—
960	C₂×Dic₅	—	8	1	no	—
961	C₂×Dic₅	—	8	1	no	—
962	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
963	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
964	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
965	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
966	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
967	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
968	D₂₀	—	2	1	no	—
969	D₂₀	—	2	1	no	—
970	D₂₀	—	2	1	no	—
971	D₂₀	—	2	1	no	—
972	D₂₀	—	2	1	no	—
973	D₂₀	—	2	1	no	—
974	D₂₀	—	4	1	no	—
975	D₂₀	—	8	1	no	—
976	D₂₀	—	8	1	no	—
977	D₂₀	—	8	1	no	—
978	D₂₀	—	8	1	no	—
979	D₂₀	—	8	1	no	—
980	D₂₀	—	8	1	no	—
981	C₄×D₅	—	2	1	no	—
982	C₄×D₅	—	2	1	no	—
983	C₄×D₅	—	2	1	no	—
984	C₄×D₅	—	2	1	no	—
985	C₄×D₅	—	4	1	no	—
986	C₄×D₅	—	4	1	no	—
987	C₄×D₅	—	4	1	no	—
988	C₄×D₅	—	4	1	no	—
989	C₄×D₅	—	4	2	no	—
990	C₄×D₅	—	8	1	no	—
991	C₄×D₅	—	8	1	no	—
992	C₄×D₅	—	8	1	no	—
993	C₄×D₅	—	8	1	no	—
994	C₄×D₅	—	8	1	no	—
995	C₄×D₅	—	8	1	no	—
996	Dic₁₀	—	2	1	no	—
997	Dic₁₀	—	2	1	no	—
998	Dic₁₀	—	4	1	no	—
999	Dic₁₀	—	4	2	no	—
1000	Dic₁₀	—	4	2	no	—
1001	C₅×C₈	—	2	1	no	—
1002	C₅×C₈	—	2	1	no	—
1003	C₅×C₈	—	2	1	no	—
1004	C₅×C₈	—	2	1	no	—
1005	#168	—	2	1	no	—
1006	#168	—	2	1	no	—
1007	#168	—	2	1	no	—
1008	#168	—	2	1	no	—
1009	C₂×#41	—	5	1	no	—
1010	C₂×#41	—	5	1	no	—
1011	C₂×#41	—	10	1	no	—
1012	C₂×#41	—	10	1	no	—
1013	C₂×#41	—	10	1	no	—
1014	C₂×#41	—	10	1	no	—
1015	C₂×#41	C₂²×D₅	1	1	yes	characteristic
1016	C₂²×D₄	—	5	1	no	—
1017	C₂²×D₄	—	5	1	no	—
1018	C₂²×D₄	—	10	1	no	—
1019	C₂²×D₄	—	10	1	no	—
1020	C₂×SD₁₆	—	5	1	no	—
1021	C₂×SD₁₆	—	5	1	no	—
1022	C₂×SD₁₆	—	5	1	no	—
1023	C₂×SD₁₆	—	5	1	no	—
1024	C₂×SD₁₆	—	5	1	no	—
1025	C₂×SD₁₆	—	5	1	no	—
1026	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1027	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1028	C₂×D₈	—	5	1	no	—
1029	C₂×D₈	—	5	1	no	—
1030	C₂×D₈	—	5	1	no	—
1031	C₂×D₈	—	5	1	no	—
1032	C₂×D₈	—	5	1	no	—
1033	C₂×D₈	—	5	1	no	—
1034	C₂×D₈	C₂²×D₅	1	1	yes	characteristic
1035	C₂×D₈	C₂²×D₅	1	1	yes	characteristic
1036	C₂×M₁₆	—	5	1	no	—
1037	C₂×M₁₆	—	5	1	no	—
1038	C₂²×C₈	—	5	1	no	—
1039	C₂²×C₈	—	5	1	no	—
1040	C₄⋊Q₈	—	5	1	no	—
1041	C₄⋊Q₈	—	5	1	no	—
1042	C₄⋊Q₈	—	5	1	no	—
1043	#127	—	5	1	no	—
1044	#127	—	5	1	no	—
1045	#127	—	5	1	no	—
1046	#127	—	5	1	no	—
1047	#127	—	10	1	no	—
1048	#127	—	10	1	no	—
1049	#127	—	10	1	no	—
1050	#127	—	10	1	no	—
1051	#127	C₂²×D₅	1	1	yes	characteristic
1052	#126	—	10	1	no	—
1053	#126	—	10	1	no	—
1054	#126	—	10	1	no	—
1055	#126	—	10	1	no	—
1056	#126	—	10	1	no	—
1057	#126	—	10	1	no	—
1058	#126	—	10	1	no	—
1059	#126	—	10	1	no	—
1060	#125	—	5	1	no	—
1061	#125	—	5	1	no	—
1062	#125	—	5	1	no	—
1063	#125	—	5	1	no	—
1064	#125	—	5	1	no	—
1065	#125	—	10	1	no	—
1066	#125	—	10	1	no	—
1067	#125	—	10	1	no	—
1068	#125	—	10	1	no	—
1069	#125	—	10	1	no	—
1070	#125	—	10	1	no	—
1071	#125	C₂²×D₅	1	1	yes	characteristic
1072	#124	—	5	1	no	—
1073	#124	—	5	1	no	—
1074	#124	—	10	1	no	—
1075	#124	—	10	1	no	—
1076	#124	—	10	1	no	—
1077	#124	—	10	1	no	—
1078	#124	—	10	1	no	—
1079	#124	—	10	1	no	—
1080	#123	—	2	1	no	—
1081	#123	—	2	1	no	—
1082	#123	—	10	1	no	—
1083	#123	—	10	1	no	—
1084	#123	—	10	1	no	—
1085	#123	—	10	1	no	—
1086	#123	—	10	1	no	—
1087	#123	—	10	1	no	—
1088	#123	—	10	1	no	—
1089	#123	—	10	1	no	—
1090	#123	—	10	1	no	—
1091	#123	—	10	1	no	—
1092	#123	—	10	1	no	—
1093	#123	—	10	1	no	—
1094	#123	—	10	1	no	—
1095	#123	—	10	1	no	—
1096	C₂²⋊Q₈	—	5	1	no	—
1097	C₂²⋊Q₈	—	5	1	no	—
1098	C₂²⋊Q₈	—	5	1	no	—
1099	C₂²⋊Q₈	—	5	1	no	—
1100	C₂²⋊Q₈	—	10	1	no	—
1101	C₂²⋊Q₈	—	10	1	no	—
1102	C₂²⋊Q₈	—	10	1	no	—
1103	C₂²⋊Q₈	—	10	1	no	—
1104	#121	—	2	1	no	—
1105	#121	—	2	1	no	—
1106	#121	—	5	1	no	—
1107	#121	—	5	1	no	—
1108	#121	—	5	1	no	—
1109	#121	—	5	1	no	—
1110	#121	—	5	1	no	—
1111	#121	—	5	1	no	—
1112	#121	—	5	1	no	—
1113	#121	—	5	1	no	—
1114	#121	—	5	1	no	—
1115	#121	—	5	1	no	—
1116	#121	—	10	1	no	—
1117	#121	—	10	1	no	—
1118	#121	—	10	1	no	—
1119	#121	—	10	1	no	—
1120	#121	—	10	1	no	—
1121	#121	—	10	1	no	—
1122	#121	—	10	1	no	—
1123	#121	—	10	1	no	—
1124	#121	—	10	1	no	—
1125	#121	—	10	1	no	—
1126	#121	—	10	1	no	—
1127	#121	—	10	1	no	—
1128	#121	—	10	1	no	—
1129	#121	—	10	1	no	—
1130	#121	—	10	1	no	—
1131	#121	—	10	1	no	—
1132	#121	—	10	1	no	—
1133	#121	—	10	1	no	—
1134	#121	—	10	1	no	—
1135	#121	—	10	1	no	—
1136	#121	—	10	1	no	—
1137	#121	—	10	1	no	—
1138	#121	C₂²×D₅	1	1	yes	characteristic
1139	#121	C₂²×D₅	1	1	yes	characteristic
1140	#120	—	10	1	no	—
1141	#120	—	10	1	no	—
1142	#120	—	10	1	no	—
1143	#120	—	10	1	no	—
1144	C₄×Q₈	—	5	1	no	—
1145	C₄×Q₈	—	5	1	no	—
1146	C₄×Q₈	—	5	1	no	—
1147	C₄×Q₈	—	5	1	no	—
1148	C₄×Q₈	—	10	1	no	—
1149	C₄×Q₈	—	10	1	no	—
1150	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1151	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1152	C₄×D₄	—	2	1	no	—
1153	C₄×D₄	—	2	1	no	—
1154	C₄×D₄	—	5	1	no	—
1155	C₄×D₄	—	5	1	no	—
1156	C₄×D₄	—	5	1	no	—
1157	C₄×D₄	—	5	1	no	—
1158	C₄×D₄	—	5	1	no	—
1159	C₄×D₄	—	5	1	no	—
1160	C₄×D₄	—	5	1	no	—
1161	C₄×D₄	—	5	1	no	—
1162	C₄×D₄	—	5	1	no	—
1163	C₄×D₄	—	5	1	no	—
1164	C₄×D₄	—	5	1	no	—
1165	C₄×D₄	—	5	1	no	—
1166	C₄×D₄	—	5	1	no	—
1167	C₄×D₄	—	5	1	no	—
1168	C₄×D₄	—	10	1	no	—
1169	C₄×D₄	—	10	1	no	—
1170	C₄×D₄	—	10	1	no	—
1171	C₄×D₄	—	10	1	no	—
1172	C₄×D₄	—	10	1	no	—
1173	C₄×D₄	—	10	1	no	—
1174	C₄×D₄	—	10	1	no	—
1175	C₄×D₄	—	10	1	no	—
1176	C₄×D₄	—	10	1	no	—
1177	C₄×D₄	—	10	1	no	—
1178	C₄×D₄	—	10	1	no	—
1179	C₄×D₄	—	10	1	no	—
1180	C₄×D₄	—	10	1	no	—
1181	C₄×D₄	—	10	1	no	—
1182	C₄×D₄	—	10	1	no	—
1183	C₄×D₄	—	10	1	no	—
1184	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1185	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1186	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1187	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1188	#117	—	2	1	no	—
1189	#117	—	5	1	no	—
1190	#117	—	5	1	no	—
1191	#117	—	5	1	no	—
1192	#117	—	5	1	no	—
1193	#117	—	10	1	no	—
1194	#117	—	10	1	no	—
1195	#117	—	10	1	no	—
1196	#117	—	10	1	no	—
1197	#117	—	10	1	no	—
1198	#117	C₂²×D₅	1	1	yes	characteristic
1199	C₂×C₄⋊C₄	—	2	1	no	—
1200	C₂×C₄⋊C₄	—	5	1	no	—
1201	C₂×C₄⋊C₄	—	10	1	no	—
1202	C₂×C₄⋊C₄	—	10	1	no	—
1203	C₂×C₄⋊C₄	—	10	1	no	—
1204	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1205	C₂×C₂²⋊C₄	—	10	1	no	—
1206	C₂×C₂²⋊C₄	—	10	1	no	—
1207	C₂×C₂²⋊C₄	—	10	1	no	—
1208	C₂×C₂²⋊C₄	—	10	1	no	—
1209	C₂×C₄²	—	5	1	no	—
1210	C₂×C₄²	—	5	1	no	—
1211	C₂×C₄²	—	5	1	no	—
1212	#107	—	5	1	no	—
1213	#107	—	5	1	no	—
1214	#107	—	5	1	no	—
1215	#107	—	5	1	no	—
1216	#107	—	5	1	no	—
1217	#107	—	5	1	no	—
1218	#107	C₂²×D₅	1	1	yes	characteristic
1219	#107	C₂²×D₅	1	1	yes	characteristic
1220	#106	—	5	1	no	—
1221	#106	—	5	1	no	—
1222	#106	—	5	1	no	—
1223	#106	—	5	1	no	—
1224	#106	—	5	1	no	—
1225	#106	—	5	1	no	—
1226	#106	C₂²×D₅	1	1	yes	characteristic
1227	#106	C₂²×D₅	1	1	yes	characteristic
1228	C₄⋊C₈	—	5	1	no	—
1229	C₄⋊C₈	—	5	1	no	—
1230	C₄⋊C₈	—	5	1	no	—
1231	C₄⋊C₈	—	5	1	no	—
1232	C₄⋊C₈	—	5	1	no	—
1233	C₄⋊C₈	—	5	1	no	—
1234	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1235	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1236	#103	—	5	1	no	—
1237	#103	—	5	1	no	—
1238	#103	—	5	1	no	—
1239	#103	—	5	1	no	—
1240	#103	—	5	1	no	—
1241	#103	—	5	1	no	—
1242	#103	C₂²×D₅	1	1	yes	characteristic
1243	#103	C₂²×D₅	1	1	yes	characteristic
1244	#102	—	5	1	no	—
1245	#102	—	5	1	no	—
1246	#102	—	5	1	no	—
1247	#102	—	5	1	no	—
1248	#102	—	5	1	no	—
1249	#102	—	5	1	no	—
1250	#102	—	5	1	no	—
1251	#102	—	5	1	no	—
1252	#102	—	5	1	no	—
1253	#102	—	5	1	no	—
1254	#102	—	5	1	no	—
1255	#102	—	5	1	no	—
1256	#102	—	5	1	no	—
1257	#102	—	5	1	no	—
1258	#102	—	5	1	no	—
1259	#102	—	5	1	no	—
1260	#102	—	5	1	no	—
1261	#102	—	5	1	no	—
1262	#102	C₂²×D₅	1	1	yes	characteristic
1263	#102	C₂²×D₅	1	1	yes	characteristic
1264	#102	C₂²×D₅	1	1	yes	characteristic
1265	#102	C₂²×D₅	1	1	yes	characteristic
1266	#102	C₂²×D₅	1	1	yes	characteristic
1267	#102	C₂²×D₅	1	1	yes	characteristic
1268	C₂²⋊C₈	—	5	1	no	—
1269	C₂²⋊C₈	—	5	1	no	—
1270	C₂²⋊C₈	—	5	1	no	—
1271	C₂²⋊C₈	—	5	1	no	—
1272	C₂²⋊C₈	—	5	1	no	—
1273	C₂²⋊C₈	—	5	1	no	—
1274	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1275	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1276	#97	—	5	1	no	—
1277	#97	—	5	1	no	—
1278	#97	—	5	1	no	—
1279	#97	—	5	1	no	—
1280	#97	—	5	1	no	—
1281	#97	C₂²×D₅	1	1	yes	characteristic
1282	C₄×C₈	—	5	1	no	—
1283	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
1284	C₂²×C₅	—	2	1	no	—
1285	C₂²×C₅	—	2	1	no	—
1286	C₂²×C₅	—	2	1	no	—
1287	C₂²×C₅	—	4	1	no	—
1288	C₂²×C₅	—	4	1	no	—
1289	C₂²×C₅	—	4	1	no	—
1290	C₂²×C₅	—	4	1	no	—
1291	C₂²×C₅	—	4	1	no	—
1292	C₂²×C₅	—	4	1	no	—
1293	C₂²×C₅	—	4	1	no	—
1294	C₂²×C₅	—	4	1	no	—
1295	C₂²×C₅	—	4	1	no	—
1296	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1297	C₂×D₅	—	2	1	no	—
1298	C₂×D₅	—	2	1	no	—
1299	C₂×D₅	—	2	1	no	—
1300	C₂×D₅	—	2	1	no	—
1301	C₂×D₅	—	2	1	no	—
1302	C₂×D₅	—	2	1	no	—
1303	C₂×D₅	—	4	1	no	—
1304	C₂×D₅	—	4	1	no	—
1305	C₂×D₅	—	4	1	no	—
1306	C₂×D₅	—	4	1	no	—
1307	C₂×D₅	—	4	1	no	—
1308	C₂×D₅	—	4	1	no	—
1309	C₂×D₅	—	4	1	no	—
1310	C₂×D₅	—	4	1	no	—
1311	C₂×D₅	—	4	1	no	—
1312	C₂×D₅	—	16	2	no	—
1313	C₂×D₅	—	16	2	no	—
1314	C₄×C₅	—	2	1	no	—
1315	C₄×C₅	—	2	1	no	—
1316	C₄×C₅	—	2	1	no	—
1317	C₄×C₅	—	2	1	no	—
1318	C₄×C₅	—	2	1	no	—
1319	C₄×C₅	—	4	1	no	—
1320	C₄×C₅	—	4	1	no	—
1321	C₄×C₅	—	4	1	no	—
1322	C₄×C₅	—	4	1	no	—
1323	C₄×C₅	—	4	1	no	—
1324	C₄×C₅	#585	1	1	yes	characteristic
1325	C₄×C₅	#585	1	1	yes	characteristic
1326	Dic₅	—	2	1	no	—
1327	Dic₅	—	2	1	no	—
1328	Dic₅	—	2	1	no	—
1329	Dic₅	—	2	1	no	—
1330	Dic₅	—	2	1	no	—
1331	Dic₅	—	2	1	no	—
1332	Dic₅	—	4	1	no	—
1333	Dic₅	—	4	1	no	—
1334	Dic₅	—	4	1	no	—
1335	Dic₅	—	4	1	no	—
1336	Dic₅	—	4	1	no	—
1337	C₂⁴	—	10	1	no	—
1338	C₂⁴	—	10	1	no	—
1339	#41	—	4	1	no	—
1340	#41	—	4	1	no	—
1341	#41	—	20	1	no	—
1342	#41	—	20	1	no	—
1343	#41	—	20	1	no	—
1344	#41	—	20	1	no	—
1345	#41	—	40	2	no	—
1346	#41	—	40	2	no	—
1347	#41	—	40	2	no	—
1348	#41	—	40	2	no	—
1349	C₂×Q₈	—	5	1	no	—
1350	C₂×Q₈	—	5	1	no	—
1351	C₂×Q₈	—	10	1	no	—
1352	C₂×Q₈	—	10	1	no	—
1353	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1354	C₂×D₄	—	2	1	no	—
1355	C₂×D₄	—	2	1	no	—
1356	C₂×D₄	—	2	1	no	—
1357	C₂×D₄	—	2	1	no	—
1358	C₂×D₄	—	2	1	no	—
1359	C₂×D₄	—	5	1	no	—
1360	C₂×D₄	—	5	1	no	—
1361	C₂×D₄	—	5	1	no	—
1362	C₂×D₄	—	5	1	no	—
1363	C₂×D₄	—	5	1	no	—
1364	C₂×D₄	—	5	1	no	—
1365	C₂×D₄	—	10	1	no	—
1366	C₂×D₄	—	10	1	no	—
1367	C₂×D₄	—	10	1	no	—
1368	C₂×D₄	—	10	1	no	—
1369	C₂×D₄	—	10	1	no	—
1370	C₂×D₄	—	10	1	no	—
1371	C₂×D₄	—	10	1	no	—
1372	C₂×D₄	—	10	1	no	—
1373	C₂×D₄	—	10	1	no	—
1374	C₂×D₄	—	10	1	no	—
1375	C₂×D₄	—	10	1	no	—
1376	C₂×D₄	—	10	1	no	—
1377	C₂×D₄	—	10	1	no	—
1378	C₂×D₄	—	10	1	no	—
1379	C₂×D₄	—	10	1	no	—
1380	C₂×D₄	—	10	1	no	—
1381	C₂×D₄	—	10	1	no	—
1382	C₂×D₄	—	10	1	no	—
1383	C₂×D₄	—	10	1	no	—
1384	C₂×D₄	—	10	1	no	—
1385	C₂×D₄	—	10	1	no	—
1386	C₂×D₄	—	20	1	no	—
1387	C₂×D₄	—	20	1	no	—
1388	C₂×D₄	—	20	1	no	—
1389	C₂×D₄	—	20	1	no	—
1390	C₂×D₄	—	40	2	no	—
1391	C₂×D₄	—	40	2	no	—
1392	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1393	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1394	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1395	C₂²×C₄	—	2	1	no	—
1396	C₂²×C₄	—	2	1	no	—
1397	C₂²×C₄	—	2	1	no	—
1398	C₂²×C₄	—	2	1	no	—
1399	C₂²×C₄	—	2	1	no	—
1400	C₂²×C₄	—	2	1	no	—
1401	C₂²×C₄	—	5	1	no	—
1402	C₂²×C₄	—	5	1	no	—
1403	C₂²×C₄	—	5	1	no	—
1404	C₂²×C₄	—	5	1	no	—
1405	C₂²×C₄	—	5	1	no	—
1406	C₂²×C₄	—	5	1	no	—
1407	C₂²×C₄	—	5	1	no	—
1408	C₂²×C₄	—	5	1	no	—
1409	C₂²×C₄	—	10	1	no	—
1410	C₂²×C₄	—	10	1	no	—
1411	C₂²×C₄	—	10	1	no	—
1412	C₂²×C₄	—	10	1	no	—
1413	C₂²×C₄	—	10	1	no	—
1414	C₂²×C₄	—	10	1	no	—
1415	C₂²×C₄	—	10	1	no	—
1416	C₂²×C₄	—	10	1	no	—
1417	C₂²×C₄	—	10	1	no	—
1418	C₂²×C₄	—	10	1	no	—
1419	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1420	SD₁₆	—	4	1	no	—
1421	SD₁₆	—	4	1	no	—
1422	SD₁₆	—	20	1	no	—
1423	SD₁₆	—	20	1	no	—
1424	SD₁₆	—	20	1	no	—
1425	SD₁₆	—	20	1	no	—
1426	SD₁₆	—	20	1	no	—
1427	SD₁₆	—	20	1	no	—
1428	D₈	—	4	1	no	—
1429	D₈	—	4	1	no	—
1430	D₈	—	20	1	no	—
1431	D₈	—	20	1	no	—
1432	D₈	—	20	1	no	—
1433	D₈	—	20	1	no	—
1434	D₈	—	20	1	no	—
1435	D₈	—	20	1	no	—
1436	M₁₆	—	20	1	no	—
1437	M₁₆	—	20	1	no	—
1438	C₂×C₈	—	5	1	no	—
1439	C₂×C₈	—	5	1	no	—
1440	C₂×C₈	—	5	1	no	—
1441	C₂×C₈	—	5	1	no	—
1442	C₂×C₈	—	20	1	no	—
1443	C₂×C₈	—	20	1	no	—
1444	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1445	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1446	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1447	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1448	C₄⋊C₄	—	2	1	no	—
1449	C₄⋊C₄	—	2	1	no	—
1450	C₄⋊C₄	—	2	1	no	—
1451	C₄⋊C₄	—	2	1	no	—
1452	C₄⋊C₄	—	2	1	no	—
1453	C₄⋊C₄	—	5	1	no	—
1454	C₄⋊C₄	—	5	1	no	—
1455	C₄⋊C₄	—	5	1	no	—
1456	C₄⋊C₄	—	5	1	no	—
1457	C₄⋊C₄	—	5	1	no	—
1458	C₄⋊C₄	—	5	1	no	—
1459	C₄⋊C₄	—	5	1	no	—
1460	C₄⋊C₄	—	5	1	no	—
1461	C₄⋊C₄	—	10	1	no	—
1462	C₄⋊C₄	—	10	1	no	—
1463	C₄⋊C₄	—	10	1	no	—
1464	C₄⋊C₄	—	10	1	no	—
1465	C₄⋊C₄	—	10	1	no	—
1466	C₄⋊C₄	—	10	1	no	—
1467	C₄⋊C₄	—	10	1	no	—
1468	C₄⋊C₄	—	10	1	no	—
1469	C₄⋊C₄	—	10	1	no	—
1470	C₄⋊C₄	—	10	1	no	—
1471	C₄⋊C₄	—	10	1	no	—
1472	C₄⋊C₄	—	10	1	no	—
1473	C₄⋊C₄	—	10	1	no	—
1474	C₄⋊C₄	—	10	1	no	—
1475	C₄⋊C₄	—	10	1	no	—
1476	C₄⋊C₄	—	10	1	no	—
1477	C₄⋊C₄	—	10	1	no	—
1478	C₄⋊C₄	—	10	1	no	—
1479	C₄⋊C₄	—	10	1	no	—
1480	C₄⋊C₄	—	10	1	no	—
1481	C₄⋊C₄	—	10	1	no	—
1482	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1483	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1484	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1485	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1486	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1487	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1488	C₂²⋊C₄	—	2	1	no	—
1489	C₂²⋊C₄	—	2	1	no	—
1490	C₂²⋊C₄	—	2	1	no	—
1491	C₂²⋊C₄	—	2	1	no	—
1492	C₂²⋊C₄	—	2	1	no	—
1493	C₂²⋊C₄	—	2	1	no	—
1494	C₂²⋊C₄	—	5	1	no	—
1495	C₂²⋊C₄	—	5	1	no	—
1496	C₂²⋊C₄	—	5	1	no	—
1497	C₂²⋊C₄	—	5	1	no	—
1498	C₂²⋊C₄	—	10	1	no	—
1499	C₂²⋊C₄	—	10	1	no	—
1500	C₂²⋊C₄	—	10	1	no	—
1501	C₂²⋊C₄	—	10	1	no	—
1502	C₂²⋊C₄	—	10	1	no	—
1503	C₂²⋊C₄	—	10	1	no	—
1504	C₂²⋊C₄	—	10	1	no	—
1505	C₂²⋊C₄	—	10	1	no	—
1506	C₂²⋊C₄	—	10	1	no	—
1507	C₂²⋊C₄	—	10	1	no	—
1508	C₂²⋊C₄	—	10	1	no	—
1509	C₂²⋊C₄	—	10	1	no	—
1510	C₂²⋊C₄	—	10	1	no	—
1511	C₂²⋊C₄	—	10	1	no	—
1512	C₂²⋊C₄	—	10	1	no	—
1513	C₂²⋊C₄	—	10	1	no	—
1514	C₂²⋊C₄	—	10	1	no	—
1515	C₂²⋊C₄	—	10	1	no	—
1516	C₂²⋊C₄	—	10	1	no	—
1517	C₂²⋊C₄	—	10	1	no	—
1518	C₂²⋊C₄	—	10	1	no	—
1519	C₂²⋊C₄	—	10	1	no	—
1520	C₂²⋊C₄	—	10	1	no	—
1521	C₂²⋊C₄	—	10	1	no	—
1522	C₂²⋊C₄	—	10	1	no	—
1523	C₂²⋊C₄	—	10	1	no	—
1524	C₂²⋊C₄	—	10	1	no	—
1525	C₂²⋊C₄	—	10	1	no	—
1526	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1527	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1528	C₄²	—	2	1	no	—
1529	C₄²	—	2	1	no	—
1530	C₄²	—	5	1	no	—
1531	C₄²	—	5	1	no	—
1532	C₄²	—	5	1	no	—
1533	C₄²	—	5	1	no	—
1534	C₄²	—	5	1	no	—
1535	C₄²	—	5	1	no	—
1536	C₄²	—	5	1	no	—
1537	C₄²	—	5	1	no	—
1538	C₄²	—	10	1	no	—
1539	C₄²	—	10	1	no	—
1540	C₄²	—	10	1	no	—
1541	C₄²	—	10	1	no	—
1542	C₄²	C₂³×D₅	1	1	yes	characteristic
1543	C₄²	C₂³×D₅	1	1	yes	characteristic
1544	C₂×C₅	—	4	1	no	—
1545	C₂×C₅	—	8	1	no	—
1546	C₂×C₅	—	8	1	no	—
1547	C₂×C₅	—	8	1	no	—
1548	C₂×C₅	#3449	1	1	yes	characteristic
1549	C₂×C₅	#3585	1	1	yes	characteristic
1550	C₂×C₅	#3585	1	1	yes	characteristic
1551	D₅	—	4	1	no	—
1552	D₅	—	4	1	no	—
1553	D₅	—	8	1	no	—
1554	D₅	—	8	1	no	—
1555	D₅	—	8	1	no	—
1556	C₂³	—	2	1	no	—
1557	C₂³	—	2	1	no	—
1558	C₂³	—	2	1	no	—
1559	C₂³	—	5	1	no	—
1560	C₂³	—	5	1	no	—
1561	C₂³	—	10	1	no	—
1562	C₂³	—	10	1	no	—
1563	C₂³	—	10	1	no	—
1564	C₂³	—	20	2	no	—
1565	C₂³	—	20	2	no	—
1566	C₂³	—	40	1	no	—
1567	C₂³	—	40	1	no	—
1568	C₂³	—	40	1	no	—
1569	C₂³	—	40	1	no	—
1570	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1571	Q₈	—	2	1	no	—
1572	Q₈	—	2	1	no	—
1573	Q₈	—	10	1	no	—
1574	Q₈	—	10	1	no	—
1575	Q₈	—	20	1	no	—
1576	Q₈	—	20	2	no	—
1577	Q₈	—	20	2	no	—
1578	D₄	—	2	1	no	—
1579	D₄	—	2	1	no	—
1580	D₄	—	2	1	no	—
1581	D₄	—	2	1	no	—
1582	D₄	—	2	1	no	—
1583	D₄	—	2	1	no	—
1584	D₄	—	4	2	no	—
1585	D₄	—	8	1	no	—
1586	D₄	—	8	1	no	—
1587	D₄	—	8	1	no	—
1588	D₄	—	8	1	no	—
1589	D₄	—	10	1	no	—
1590	D₄	—	10	1	no	—
1591	D₄	—	10	1	no	—
1592	D₄	—	10	1	no	—
1593	D₄	—	10	1	no	—
1594	D₄	—	10	1	no	—
1595	D₄	—	20	1	no	—
1596	D₄	—	20	1	no	—
1597	D₄	—	20	1	no	—
1598	D₄	—	20	2	no	—
1599	D₄	—	20	2	no	—
1600	D₄	—	20	2	no	—
1601	D₄	—	20	2	no	—
1602	D₄	—	20	2	no	—
1603	D₄	—	20	2	no	—
1604	D₄	—	20	2	no	—
1605	D₄	—	40	1	no	—
1606	D₄	—	40	1	no	—
1607	D₄	—	40	1	no	—
1608	D₄	—	40	1	no	—
1609	D₄	—	40	1	no	—
1610	D₄	—	40	1	no	—
1611	D₄	—	40	1	no	—
1612	D₄	—	40	1	no	—
1613	D₄	—	40	1	no	—
1614	D₄	—	40	1	no	—
1615	D₄	—	40	1	no	—
1616	D₄	—	40	1	no	—
1617	D₄	—	40	1	no	—
1618	D₄	—	40	1	no	—
1619	C₂×C₄	—	2	1	no	—
1620	C₂×C₄	—	2	1	no	—
1621	C₂×C₄	—	2	1	no	—
1622	C₂×C₄	—	2	1	no	—
1623	C₂×C₄	—	2	1	no	—
1624	C₂×C₄	—	2	1	no	—
1625	C₂×C₄	—	2	1	no	—
1626	C₂×C₄	—	4	2	no	—
1627	C₂×C₄	—	5	1	no	—
1628	C₂×C₄	—	5	1	no	—
1629	C₂×C₄	—	5	1	no	—
1630	C₂×C₄	—	5	1	no	—
1631	C₂×C₄	—	5	1	no	—
1632	C₂×C₄	—	5	1	no	—
1633	C₂×C₄	—	8	1	no	—
1634	C₂×C₄	—	8	1	no	—
1635	C₂×C₄	—	8	1	no	—
1636	C₂×C₄	—	8	1	no	—
1637	C₂×C₄	—	8	1	no	—
1638	C₂×C₄	—	10	1	no	—
1639	C₂×C₄	—	10	1	no	—
1640	C₂×C₄	—	10	1	no	—
1641	C₂×C₄	—	10	1	no	—
1642	C₂×C₄	—	10	1	no	—
1643	C₂×C₄	—	10	1	no	—
1644	C₂×C₄	—	10	1	no	—
1645	C₂×C₄	—	10	1	no	—
1646	C₂×C₄	—	10	1	no	—
1647	C₂×C₄	—	20	1	no	—
1648	C₂×C₄	—	20	1	no	—
1649	C₂×C₄	—	20	1	no	—
1650	C₂×C₄	—	20	1	no	—
1651	C₂×C₄	—	20	2	no	—
1652	C₂×C₄	—	20	1	no	—
1653	C₂×C₄	—	20	1	no	—
1654	C₂×C₄	—	40	1	no	—
1655	C₂×C₄	—	40	1	no	—
1656	C₂×C₄	—	40	1	no	—
1657	C₂×C₄	—	40	1	no	—
1658	C₂×C₄	—	40	1	no	—
1659	C₂×C₄	—	40	1	no	—
1660	C₂×C₄	—	40	1	no	—
1661	C₂×C₄	—	40	1	no	—
1662	C₂×C₄	—	40	1	no	—
1663	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1664	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1665	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1666	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1667	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1668	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1669	C₈	—	2	1	no	—
1670	C₈	—	2	1	no	—
1671	C₈	—	2	1	no	—
1672	C₈	—	2	1	no	—
1673	C₈	—	10	1	no	—
1674	C₈	—	10	1	no	—
1675	C₈	—	10	1	no	—
1676	C₈	—	10	1	no	—
1677	C₅	#61019	1	1	yes	characteristic, complemented, Sylow
1678	C₂²	—	2	1	no	—
1679	C₂²	—	2	1	no	—
1680	C₂²	—	2	1	no	—
1681	C₂²	—	4	1	no	—
1682	C₂²	—	4	1	no	—
1683	C₂²	—	4	1	no	—
1684	C₂²	—	4	1	no	—
1685	C₂²	—	4	1	no	—
1686	C₂²	—	4	1	no	—
1687	C₂²	—	4	1	no	—
1688	C₂²	—	4	1	no	—
1689	C₂²	—	4	1	no	—
1690	C₂²	—	10	1	no	—
1691	C₂²	—	10	1	no	—
1692	C₂²	—	10	1	no	—
1693	C₂²	—	10	1	no	—
1694	C₂²	—	10	1	no	—
1695	C₂²	—	10	1	no	—
1696	C₂²	—	20	1	no	—
1697	C₂²	—	20	1	no	—
1698	C₂²	—	20	1	no	—
1699	C₂²	—	20	1	no	—
1700	C₂²	—	20	1	no	—
1701	C₂²	—	20	1	no	—
1702	C₂²	—	20	1	no	—
1703	C₂²	—	20	1	no	—
1704	C₂²	—	20	1	no	—
1705	C₂²	—	80	2	no	—
1706	C₂²	—	80	2	no	—
1707	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1708	C₄	—	2	1	no	—
1709	C₄	—	2	1	no	—
1710	C₄	—	2	1	no	—
1711	C₄	—	2	1	no	—
1712	C₄	—	2	1	no	—
1713	C₄	—	4	1	no	—
1714	C₄	—	4	1	no	—
1715	C₄	—	4	1	no	—
1716	C₄	—	4	1	no	—
1717	C₄	—	4	1	no	—
1718	C₄	—	10	1	no	—
1719	C₄	—	10	1	no	—
1720	C₄	—	10	1	no	—
1721	C₄	—	10	1	no	—
1722	C₄	—	10	1	no	—
1723	C₄	—	10	1	no	—
1724	C₄	—	20	1	no	—
1725	C₄	—	20	1	no	—
1726	C₄	—	20	1	no	—
1727	C₄	—	20	1	no	—
1728	C₄	—	20	1	no	—
1729	C₄	#66283	1	1	yes	characteristic
1730	C₄	#66283	1	1	yes	characteristic
1731	C₂	—	4	1	no	—
1732	C₂	—	8	1	no	—
1733	C₂	—	8	1	no	—
1734	C₂	—	8	1	no	—
1735	C₂	—	20	1	no	—
1736	C₂	—	20	1	no	—
1737	C₂	—	40	1	no	—
1738	C₂	—	40	1	no	—
1739	C₂	—	40	1	no	—
1740	C₂	#10617936	1	1	yes	characteristic
1741	C₂	#10619105	1	1	yes	characteristic
1742	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×#3119	C₂
socle	C₂²×C₅	C₂³×D₄
hypercenter	#3119	D₅
hypocenter	C₅	#61019
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ #117 ◁ #3119

Complements

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

N	H ≅ G/N	type
1. #10618387	C₂	semidirect
2. #10617795	C₂	semidirect
3. C₅×#3119	C₂	semidirect
4. #10615165	C₂	semidirect
5. #10614299	C₂	semidirect
6. #10613061	C₂	semidirect
7. #10613050	C₂	semidirect
8. #10613018	C₂	semidirect
9. #10613007	C₂	semidirect
10. #10612970	C₂	semidirect
11. #10612945	C₂	semidirect
12. #10612915	C₂	semidirect
13. #10612906	C₂	semidirect
14. #10612121	C₂	semidirect
15. #10612099	C₂	semidirect
16. #10612078	C₂	semidirect
17. #10612070	C₂	semidirect
18. #10611825	C₂	semidirect
19. #10611824	C₂	semidirect
20. #10611809	C₂	semidirect
21. #10611809	C₂	semidirect
22. #10611607	C₂	semidirect
23. #10611605	C₂	semidirect
24. #10611521	C₂	semidirect
25. #10611518	C₂	semidirect
26. #10611395	C₂	semidirect
27. #10611390	C₂	semidirect
28. #10611330	C₂	semidirect
29. #10611327	C₂	semidirect
30. #10611115	C₂	semidirect
31. #10611104	C₂	semidirect
33. C₅×#520	C₂²	semidirect
35. #66166	C₂²	semidirect
53. #65917	C₂²	semidirect
55. #65914	C₂²	semidirect
59. #65896	C₂²	semidirect
61. #65891	C₂²	semidirect
71. #65857	C₂²	semidirect
76. C₂×#4036	C₂²	semidirect
77. C₅×#481	C₂²	semidirect
78. C₅×#480	C₂²	semidirect
79. C₅×#479	C₂²	semidirect
80. C₅×#478	C₂²	semidirect
83. C₅×#449	C₂²	semidirect
84. C₅×#449	C₂²	semidirect
85. C₅×#442	C₂²	semidirect
86. C₅×#440	C₂²	semidirect
87. C₄×C₅×SD₁₆	C₂²	semidirect
88. C₄×C₅×D₈	C₂²	semidirect
89. C₅×#433	C₂²	semidirect
90. #65527	C₂²	semidirect
91. #65527	C₂²	semidirect
94. #65463	C₂²	semidirect
95. #65460	C₂²	semidirect
98. #65451	C₂²	semidirect
99. #65451	C₂²	semidirect
100. #65448	C₂²	semidirect
101. #65446	C₂²	semidirect
106. #65439	C₂²	semidirect
107. #65439	C₂²	semidirect
110. #65355	C₂²	semidirect
111. #65352	C₂²	semidirect
112. #65326	C₂²	semidirect
113. #65326	C₂²	semidirect
114. #65323	C₂²	semidirect
115. #65322	C₂²	semidirect
117. #65315	C₂²	semidirect
118. C₄×#688	C₂²	semidirect
119. #65311	C₂²	semidirect
120. #65307	C₂²	semidirect
121. C₄×#687	C₂²	semidirect
123. #65303	C₂²	semidirect
124. #65303	C₂²	semidirect
125. C₄×#686	C₂²	semidirect
126. C₄×#686	C₂²	semidirect
127. #65298	C₂²	semidirect
128. #65289	C₂²	semidirect
129. #65257	C₂²	semidirect
130. #65256	C₂²	semidirect
131. #65180	C₂²	semidirect
132. #65180	C₂²	semidirect
134. #65175	C₂²	semidirect
136. #65172	C₂²	semidirect
137. #65165	C₂²	semidirect
138. #65165	C₂²	semidirect
139. #65160	C₂²	semidirect
140. #65160	C₂²	semidirect
143. #65154	C₂²	semidirect
144. #65153	C₂²	semidirect
145. #65145	C₂²	semidirect
146. #65145	C₂²	semidirect
148. #65136	C₂²	semidirect
150. #65128	C₂²	semidirect
151. #65128	C₂²	semidirect
154. #65118	C₂²	semidirect
155. #65107	C₂²	semidirect
156. #65107	C₂²	semidirect
159. #65101	C₂²	semidirect
160. #65096	C₂²	semidirect
161. #65084	C₂²	semidirect
162. #65084	C₂²	semidirect
163. #65075	C₂²	semidirect
164. #65075	C₂²	semidirect
166. #65071	C₂²	semidirect
167. #65071	C₂²	semidirect
168. #65069	C₂²	semidirect
170. #65067	C₂²	semidirect
173. #65064	C₂²	semidirect
174. #65064	C₂²	semidirect
177. #65055	C₂²	semidirect
178. #65055	C₂²	semidirect
179. #65054	C₂²	semidirect
180. #65054	C₂²	semidirect
185. #65052	C₂²	semidirect
186. #65052	C₂²	semidirect
187. #65025	C₂²	semidirect
188. #65024	C₂²	semidirect
189. #65023	C₂²	semidirect
190. #65023	C₂²	semidirect
193. #65008	C₂²	semidirect
194. #65008	C₂²	semidirect
195. #65000	C₂²	semidirect
196. #64999	C₂²	semidirect
198. D₅×#97	C₂²	semidirect
199. C₄×D₄₀	C₂²	semidirect
200. C₄×#677	C₂²	semidirect
202. C₄×#676	C₂²	semidirect
508. #3119	D₅	semidirect
758. #520	C₂×D₅	semidirect
789. #481	C₂×D₅	semidirect
793. #480	C₂×D₅	semidirect
797. #479	C₂×D₅	semidirect
809. #478	C₂×D₅	semidirect
852. #449	C₂×D₅	semidirect
853. #449	C₂×D₅	semidirect
861. #442	C₂×D₅	semidirect
865. #440	C₂×D₅	semidirect
869. C₄×SD₁₆	C₂×D₅	semidirect
873. C₄×D₈	C₂×D₅	semidirect
877. #433	C₂×D₅	semidirect
1677. C₅	#61019	semidirect

Maximal subgroups

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

subgroup	index
#10618387	2
#10617795	2
C₅×#3119	2
#10615165	2
#10614299	2
#10613061	2
#10613050	2
#10613018	2
#10613007	2
#10612970	2
#10612945	2
#10612915	2
#10612906	2
#10612121	2
#10612099	2
#10612078	2
#10612070	2
#10611825	2
#10611824	2
#10611809	2
#10611607	2
#10611605	2
#10611521	2
#10611518	2
#10611395	2
#10611390	2
#10611330	2
#10611327	2
#10611115	2
#10611104	2
#61019	5