Subgroups — #12967923

Order 1280.

2004 conjugacy classes of subgroups.

The subgroup lattice has 1700 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10618050	C₂	1	1	yes	maximal, characteristic, complemented
2	C₄×#4147	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#3108	C₂	1	1	yes	maximal, characteristic, complemented
4	#10614871	C₂	1	1	yes	maximal, characteristic, complemented
5	#10614178	C₂	1	1	yes	maximal, characteristic, complemented
6	#10613160	C₂	1	1	yes	maximal, characteristic, complemented
7	#10613147	C₂	1	1	yes	maximal, characteristic, complemented
8	#10613016	C₂	1	1	yes	maximal, characteristic, complemented
9	#10613004	C₂	1	1	yes	maximal, characteristic, complemented
10	#10612965	C₂	1	1	yes	maximal, characteristic, complemented
11	#10612964	C₂	1	1	yes	maximal, characteristic, complemented
12	#10612942	C₂	1	1	yes	maximal, characteristic, complemented
13	#10612940	C₂	1	1	yes	maximal, characteristic, complemented
14	#10612334	C₂	1	1	yes	maximal, characteristic, complemented
15	#10612332	C₂	1	1	yes	maximal, characteristic, complemented
16	#10612305	C₂	1	1	yes	maximal, characteristic, complemented
17	#10612303	C₂	1	1	yes	maximal, characteristic, complemented
18	#10611916	C₂	1	1	yes	maximal, characteristic, complemented
19	#10611908	C₂	1	1	yes	maximal, characteristic, complemented
20	#10611773	C₂	1	1	yes	maximal, characteristic
21	#10611763	C₂	1	1	yes	maximal, characteristic, complemented
22	#10611478	C₂	1	1	yes	maximal, characteristic, complemented
23	#10611453	C₂	1	1	yes	maximal, characteristic, complemented
24	C₄×#4064	C₂	1	1	yes	maximal, characteristic, complemented
25	C₄×D₅×Q₁₆	C₂	1	1	yes	maximal, characteristic, complemented
26	#10611425	C₂	1	1	yes	maximal, characteristic, complemented
27	#10611387	C₂	1	1	yes	maximal, characteristic, complemented
28	C₄×#4061	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄×#4062	C₂	1	1	yes	maximal, characteristic, complemented
30	#10611033	C₂	1	1	yes	maximal, characteristic, complemented
31	#10611014	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#4147	C₂²	1	1	yes	characteristic
33	C₅×#529	C₂²	1	1	yes	characteristic
34	C₂×C₄×C₅×Q₈	C₂²	1	1	yes	characteristic
35	#66146	C₂²	1	1	yes	characteristic
36	C₂×#4064	C₂²	1	1	yes	characteristic
37	C₂×D₅×Q₁₆	C₂²	1	1	yes	characteristic
38	C₂×#4062	C₂²	1	1	yes	characteristic
39	C₂×#4061	C₂²	1	1	yes	characteristic
40	#66041	—	2	1	no	—
41	#66035	—	2	1	no	—
42	#66031	C₂²	1	1	yes	characteristic
43	#66023	C₂²	1	1	yes	characteristic
44	#66016	C₂²	1	1	yes	characteristic
45	#66009	C₂²	1	1	yes	characteristic
46	#65996	—	2	1	no	—
47	#65994	—	2	1	no	—
48	#65962	C₂²	1	1	yes	characteristic
49	#65959	C₂²	1	1	yes	characteristic
50	#65942	C₂²	1	1	yes	characteristic
51	#65937	C₂²	1	1	yes	characteristic
52	#65912	C₂²	1	1	yes	characteristic
53	#65908	—	2	1	no	—
54	#65908	C₂²	1	1	yes	characteristic
55	#65908	C₂²	1	1	yes	characteristic
56	C₄×#713	—	2	1	no	—
57	C₄×#713	C₂²	1	1	yes	characteristic
58	C₄×#713	C₂²	1	1	yes	characteristic
59	#65906	—	2	1	no	—
60	#65906	C₂²	1	1	yes	characteristic
61	#65906	C₂²	1	1	yes	characteristic
62	C₄×Q₈×D₅	—	2	1	no	—
63	C₄×Q₈×D₅	C₂²	1	1	yes	characteristic
64	C₄×Q₈×D₅	C₂²	1	1	yes	characteristic
65	C₄×Q₈×D₅	C₂²	1	1	yes	characteristic
66	#65891	—	2	1	no	—
67	#65891	C₂²	1	1	yes	characteristic
68	#65872	—	2	1	no	—
69	C₄×#711	C₂²	1	1	yes	characteristic
70	#65862	—	2	1	no	—
71	#65851	—	2	1	no	—
72	#65838	—	2	1	no	—
73	#65838	—	2	1	no	—
74	#65838	C₂²	1	1	yes	characteristic
75	#65838	C₂²	1	1	yes	characteristic
76	C₄×#709	—	2	1	no	—
77	C₄×#709	—	2	1	no	—
78	C₄×#709	C₂²	1	1	yes	characteristic
79	C₄×#709	C₂²	1	1	yes	characteristic
80	#65804	C₂²	1	1	yes	characteristic
81	C₅×#483	C₂²	1	1	yes	characteristic
82	C₅×#480	C₂²	1	1	yes	characteristic
83	C₅×#479	C₂²	1	1	yes	characteristic
84	C₅×#479	C₂²	1	1	yes	characteristic
85	C₅×#464	C₂²	1	1	yes	characteristic
86	C₅×#464	C₂²	1	1	yes	characteristic
87	C₅×#451	C₂²	1	1	yes	characteristic
88	C₅×#448	C₂²	1	1	yes	characteristic
89	C₄×C₅×Q₁₆	C₂²	1	1	yes	characteristic
90	C₄×C₅×Q₁₆	C₂²	1	1	yes	characteristic
91	C₄×C₅×SD₁₆	C₂²	1	1	yes	characteristic
92	C₄×C₅×SD₁₆	C₂²	1	1	yes	characteristic
93	C₅×#431	C₂²	1	1	yes	characteristic
94	#65517	C₂²	1	1	yes	characteristic
95	#65517	C₂²	1	1	yes	characteristic
96	#65476	C₂²	1	1	yes	characteristic
97	#65475	C₂²	1	1	yes	characteristic
98	#65473	C₂²	1	1	yes	characteristic
99	Q₁₆×Dic₅	C₂²	1	1	yes	characteristic
100	#65471	C₂²	1	1	yes	characteristic
101	#65471	C₂²	1	1	yes	characteristic
102	#65461	C₂²	1	1	yes	characteristic
103	#65459	C₂²	1	1	yes	characteristic
104	#65455	C₂²	1	1	yes	characteristic
105	#65455	C₂²	1	1	yes	characteristic
106	#65453	C₂²	1	1	yes	characteristic
107	SD₁₆×Dic₅	C₂²	1	1	yes	characteristic
108	#65355	C₂²	1	1	yes	characteristic
109	#65352	C₂²	1	1	yes	characteristic
110	#65346	C₂²	1	1	yes	characteristic
111	#65343	C₂²	1	1	yes	characteristic
112	#65336	C₂²	1	1	yes	characteristic
113	#65334	C₂²	1	1	yes	characteristic
114	#65326	C₂²	1	1	yes	characteristic
115	#65324	C₂²	1	1	yes	characteristic
116	#65320	C₂²	1	1	yes	characteristic
117	#65320	C₂²	1	1	yes	characteristic
118	C₄×#689	C₂²	1	1	yes	characteristic
119	C₄×#689	C₂²	1	1	yes	characteristic
120	C₄×#689	C₂²	1	1	yes	characteristic
121	C₄×#689	C₂²	1	1	yes	characteristic
122	C₄×#689	C₂²	1	1	yes	characteristic
123	C₄×#688	C₂²	1	1	yes	characteristic
124	#65310	C₂²	1	1	yes	characteristic
125	#65310	C₂²	1	1	yes	characteristic
126	C₄×#687	C₂²	1	1	yes	characteristic
127	C₄×#686	C₂²	1	1	yes	characteristic
128	#65259	C₂²	1	1	yes	characteristic
129	#65259	C₂²	1	1	yes	characteristic
130	#65214	C₂²	1	1	yes	characteristic
131	#65179	C₂²	1	1	yes	characteristic
132	#65178	C₂²	1	1	yes	characteristic
133	#65177	C₂²	1	1	yes	characteristic
134	#65173	C₂²	1	1	yes	characteristic
135	#65170	C₂²	1	1	yes	characteristic
136	D₅×#107	C₂²	1	1	yes	characteristic
137	#65164	C₂²	1	1	yes	characteristic
138	#65162	C₂²	1	1	yes	characteristic
139	#65160	C₂²	1	1	yes	characteristic
140	#65156	C₂²	1	1	yes	characteristic
141	#65151	C₂²	1	1	yes	characteristic
142	#65150	C₂²	1	1	yes	characteristic
143	#65149	C₂²	1	1	yes	characteristic
144	#65146	C₂²	1	1	yes	characteristic
145	#65142	C₂²	1	1	yes	characteristic
146	#65141	C₂²	1	1	yes	characteristic
147	#65140	C₂²	1	1	yes	characteristic
148	#65138	C₂²	1	1	yes	characteristic
149	#65135	C₂²	1	1	yes	characteristic
150	#65130	C₂²	1	1	yes	characteristic
151	#65129	C₂²	1	1	yes	characteristic
152	#65129	C₂²	1	1	yes	characteristic
153	#65128	C₂²	1	1	yes	characteristic
154	#65128	C₂²	1	1	yes	characteristic
155	#65107	C₂²	1	1	yes	characteristic
156	#65106	C₂²	1	1	yes	characteristic
157	#65104	C₂²	1	1	yes	characteristic
158	#65099	C₂²	1	1	yes	characteristic
159	#65099	C₂²	1	1	yes	characteristic
160	#65098	C₂²	1	1	yes	characteristic
161	#65097	C₂²	1	1	yes	characteristic
162	#65097	C₂²	1	1	yes	characteristic
163	#65093	C₂²	1	1	yes	characteristic
164	#65092	C₂²	1	1	yes	characteristic
165	#65091	C₂²	1	1	yes	characteristic
166	#65091	C₂²	1	1	yes	characteristic
167	D₅×#103	C₂²	1	1	yes	characteristic
168	D₅×#103	C₂²	1	1	yes	characteristic
169	#65088	C₂²	1	1	yes	characteristic
170	#65085	C₂²	1	1	yes	characteristic
171	#65083	C₂²	1	1	yes	characteristic
172	#65082	C₂²	1	1	yes	characteristic
173	#65080	C₂²	1	1	yes	characteristic
174	#65079	C₂²	1	1	yes	characteristic
175	#65079	C₂²	1	1	yes	characteristic
176	#65079	C₂²	1	1	yes	characteristic
177	#65078	C₂²	1	1	yes	characteristic
178	#65078	C₂²	1	1	yes	characteristic
179	#65076	C₂²	1	1	yes	characteristic
180	#65068	C₂²	1	1	yes	characteristic
181	#65063	C₂²	1	1	yes	characteristic
182	#65061	C₂²	1	1	yes	characteristic
183	#65060	C₂²	1	1	yes	characteristic
184	#65056	C₂²	1	1	yes	characteristic
185	#65046	C₂²	1	1	yes	characteristic
186	#65045	C₂²	1	1	yes	characteristic
187	#65022	C₂²	1	1	yes	characteristic
188	#65022	C₂²	1	1	yes	characteristic
189	#65016	C₂²	1	1	yes	characteristic
190	#65016	C₂²	1	1	yes	characteristic
191	#65012	C₂²	1	1	yes	characteristic
192	#65012	C₂²	1	1	yes	characteristic
193	#65009	C₂²	1	1	yes	characteristic
194	#65009	C₂²	1	1	yes	characteristic
195	C₄×Dic₂₀	C₂²	1	1	yes	characteristic
196	C₄×Dic₂₀	C₂²	1	1	yes	characteristic
197	C₄×#677	C₂²	1	1	yes	characteristic
198	C₄×#677	C₂²	1	1	yes	characteristic
199	C₄×#676	C₂²	1	1	yes	characteristic
200	#64974	C₂²	1	1	yes	characteristic
201	#64974	C₂²	1	1	yes	characteristic
202	C₄×C₈×D₅	C₂²	1	1	yes	characteristic
203	#60573	—	5	1	no	maximal, Sylow
204	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
205	#4147	—	2	4	no	—
206	#4147	—	2	4	no	—
207	C₂×#713	—	2	1	no	—
208	C₂×#713	C₂³	1	1	yes	characteristic
209	C₂×#713	C₂³	1	1	yes	characteristic
210	C₂×Q₈×D₅	—	2	1	no	—
211	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
212	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
213	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
214	C₂×#711	C₂³	1	1	yes	characteristic
215	C₂×#709	—	2	1	no	—
216	C₂×#709	—	2	1	no	—
217	C₂×#709	C₂³	1	1	yes	characteristic
218	C₂×#709	C₂³	1	1	yes	characteristic
219	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
220	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
221	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
222	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
223	C₅×#126	—	2	1	no	—
224	C₅×#125	C₂³	1	1	yes	characteristic
225	C₅×#124	C₂³	1	1	yes	characteristic
226	C₅×#123	—	2	1	no	—
227	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
228	C₅×#121	C₂³	1	1	yes	characteristic
229	C₄×C₅×Q₈	—	2	1	no	—
230	C₄×C₅×Q₈	—	2	1	no	—
231	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
232	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
233	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
234	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
235	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
236	C₄×C₅×D₄	—	2	1	no	—
237	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
238	C₅×#117	—	2	1	no	—
239	C₂×C₅×C₄⋊C₄	—	2	1	no	—
240	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
241	C₂×C₄²×C₅	—	2	1	no	—
242	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
243	#4092	C₂³	1	1	yes	characteristic
244	Q₈×Dic₅	—	2	1	no	—
245	Q₈×Dic₅	—	2	1	no	—
246	Q₈×Dic₅	C₂³	1	1	yes	characteristic
247	Q₈×Dic₅	C₂³	1	1	yes	characteristic
248	Q₈×Dic₅	C₂³	1	1	yes	characteristic
249	Q₈×Dic₅	C₂³	1	1	yes	characteristic
250	Q₈×Dic₅	C₂³	1	1	yes	characteristic
251	#4090	C₂³	1	1	yes	characteristic
252	C₂×#689	C₂³	1	1	yes	characteristic
253	C₂×#689	C₂³	1	1	yes	characteristic
254	C₂×#689	C₂³	1	1	yes	characteristic
255	C₂×#689	C₂³	1	1	yes	characteristic
256	C₂×#689	C₂³	1	1	yes	characteristic
257	C₂×#688	C₂³	1	1	yes	characteristic
258	#4085	—	2	1	no	—
259	#4084	—	2	1	no	—
260	#4084	C₂³	1	1	yes	characteristic
261	#4082	—	2	1	no	—
262	#4082	C₂³	1	1	yes	characteristic
263	#4081	—	2	1	no	—
264	D₄×Dic₅	C₂³	1	1	yes	characteristic
265	C₂×#687	C₂³	1	1	yes	characteristic
266	C₂×#686	C₂³	1	1	yes	characteristic
267	C₄×C₂²⋊D₅	—	2	1	no	—
268	C₄×C₂²⋊D₅	—	2	1	no	—
269	C₄×C₂²⋊D₅	—	2	1	no	—
270	C₄×C₂²⋊D₅	—	2	1	no	—
271	C₄×C₂²⋊D₅	—	2	1	no	—
272	C₄×C₂²⋊D₅	—	2	1	no	—
273	C₄×C₂²⋊D₅	—	2	1	no	—
274	C₄×C₂²⋊D₅	—	2	1	no	—
275	C₄×C₂²⋊D₅	D₄	1	1	yes	characteristic
276	C₄×C₂²⋊D₅	D₄	1	1	yes	characteristic
277	C₄×C₂²⋊D₅	D₄	1	1	yes	characteristic
278	C₄×C₂²⋊D₅	D₄	1	1	yes	characteristic
279	#4072	—	2	1	no	—
280	#4072	—	2	1	no	—
281	#4072	—	2	1	no	—
282	#4072	—	2	1	no	—
283	#4072	C₂³	1	1	yes	characteristic
284	#4072	C₂³	1	1	yes	characteristic
285	#4070	—	2	1	no	—
286	#4070	C₂³	1	1	yes	characteristic
287	#4070	C₂³	1	1	yes	characteristic
288	C₂×C₄×Dic₅	—	2	1	no	—
289	#4064	—	2	4	no	—
290	D₅×Q₁₆	—	2	4	no	—
291	#4062	—	2	4	no	—
292	#4061	—	2	4	no	—
293	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
294	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
295	C₂×#677	C₂³	1	1	yes	characteristic
296	C₂×#677	C₂³	1	1	yes	characteristic
297	C₂×#676	C₂³	1	1	yes	characteristic
298	C₂×#676	C₂³	1	1	yes	characteristic
299	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
300	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
301	#4044	—	2	1	no	—
302	#4044	—	2	1	no	—
303	#4043	—	2	1	no	—
304	#4043	C₂³	1	1	yes	characteristic
305	#4043	C₂³	1	1	yes	characteristic
306	#4042	—	2	1	no	—
307	#4042	—	2	1	no	—
308	#4040	—	2	1	no	—
309	#4039	—	2	1	no	—
310	#4039	—	2	1	no	—
311	#4039	—	2	1	no	—
312	#4039	—	2	1	no	—
313	#4039	—	2	1	no	—
314	#4039	C₂³	1	1	yes	characteristic
315	#4039	C₂³	1	1	yes	characteristic
316	#4038	—	2	1	no	—
317	#4038	—	2	1	no	—
318	#4038	—	2	1	no	—
319	#4038	—	2	1	no	—
320	#4038	—	2	1	no	—
321	#4038	C₂³	1	1	yes	characteristic
322	#4038	C₂³	1	1	yes	characteristic
323	#4038	C₂³	1	1	yes	characteristic
324	D₅×C₄⋊C₄	—	2	1	no	—
325	D₅×C₄⋊C₄	—	2	1	no	—
326	D₅×C₄⋊C₄	—	2	1	no	—
327	D₅×C₄⋊C₄	—	2	1	no	—
328	D₅×C₄⋊C₄	—	2	1	no	—
329	D₅×C₄⋊C₄	—	2	1	no	—
330	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
331	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
332	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
333	#4036	—	2	1	no	—
334	#4036	—	2	1	no	—
335	#4036	—	2	1	no	—
336	#4036	C₂³	1	1	yes	characteristic
337	#4035	—	2	1	no	—
338	#4035	—	2	1	no	—
339	#4035	—	2	1	no	—
340	#4034	—	2	1	no	—
341	#4034	—	2	1	no	—
342	#4034	C₂³	1	1	yes	characteristic
343	#4033	—	2	1	no	—
344	#4033	—	2	1	no	—
345	#4033	—	2	1	no	—
346	#4033	—	2	1	no	—
347	#4033	—	2	1	no	—
348	#4033	—	2	1	no	—
349	#4033	C₂³	1	1	yes	characteristic
350	#4033	C₂³	1	1	yes	characteristic
351	#4033	C₂³	1	1	yes	characteristic
352	#4033	C₂³	1	1	yes	characteristic
353	#4032	—	2	1	no	—
354	#4031	—	2	1	no	—
355	#4031	—	2	1	no	—
356	#4030	—	2	1	no	—
357	#4029	—	2	1	no	—
358	#4029	—	2	1	no	—
359	#4029	—	2	1	no	—
360	#4029	—	2	1	no	—
361	#4027	—	2	1	no	—
362	#4025	—	2	1	no	—
363	#4025	—	2	1	no	—
364	#4025	—	2	1	no	—
365	#4025	—	2	1	no	—
366	#4025	—	2	1	no	—
367	#4024	—	2	1	no	—
368	#4024	—	2	1	no	—
369	#4024	—	2	1	no	—
370	#4024	—	2	1	no	—
371	#4024	—	2	1	no	—
372	#4023	—	2	1	no	—
373	C₄×D₂₀	—	2	1	no	—
374	C₄×D₂₀	—	2	1	no	—
375	C₄×D₂₀	—	2	1	no	—
376	C₄×D₂₀	—	2	1	no	—
377	C₄×D₂₀	D₄	1	1	yes	characteristic
378	C₄×D₂₀	D₄	1	1	yes	characteristic
379	C₄×D₂₀	C₂³	1	1	yes	characteristic
380	C₄×D₂₀	C₂³	1	1	yes	characteristic
381	#4018	—	2	1	no	—
382	#4018	—	2	1	no	—
383	#4018	—	2	1	no	—
384	#4018	—	2	1	no	—
385	#4018	—	2	1	no	—
386	#4018	—	2	1	no	—
387	#4018	C₂³	1	1	yes	characteristic
388	#4018	C₂³	1	1	yes	characteristic
389	C₄²×D₅	—	2	1	no	—
390	C₄²×D₅	—	2	1	no	—
391	C₄²×D₅	—	2	1	no	—
392	C₄²×D₅	—	2	1	no	—
393	C₄²×D₅	—	2	1	no	—
394	C₄²×D₅	—	2	1	no	—
395	C₄²×D₅	C₂³	1	1	yes	characteristic
396	C₄²×D₅	C₂³	1	1	yes	characteristic
397	#4016	—	2	1	no	—
398	#4015	C₂³	1	1	yes	characteristic
399	#4015	C₂³	1	1	yes	characteristic
400	C₄×Dic₁₀	—	2	1	no	—
401	C₄×Dic₁₀	—	2	1	no	—
402	C₄×Dic₁₀	—	2	1	no	—
403	C₄×Dic₁₀	—	2	1	no	—
404	C₄×Dic₁₀	—	2	1	no	—
405	C₄×Dic₁₀	—	2	1	no	—
406	C₄×Dic₁₀	—	2	1	no	—
407	C₄×Dic₁₀	D₄	1	1	yes	characteristic
408	C₄×Dic₁₀	D₄	1	1	yes	characteristic
409	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
410	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
411	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
412	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
413	C₅×#107	C₂³	1	1	yes	characteristic
414	C₅×#107	C₂³	1	1	yes	characteristic
415	C₅×#106	C₂³	1	1	yes	characteristic
416	C₅×#106	C₂³	1	1	yes	characteristic
417	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
418	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
419	C₅×#103	C₂³	1	1	yes	characteristic
420	C₅×#103	C₂³	1	1	yes	characteristic
421	C₅×#103	C₂³	1	1	yes	characteristic
422	C₅×#103	C₂³	1	1	yes	characteristic
423	C₅×#103	C₂³	1	1	yes	characteristic
424	C₅×#103	C₂³	1	1	yes	characteristic
425	C₅×#102	C₂³	1	1	yes	characteristic
426	C₅×#102	C₂³	1	1	yes	characteristic
427	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
428	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
429	C₄×C₅×C₈	C₂³	1	1	yes	characteristic
430	C₄×C₅×C₈	C₂³	1	1	yes	characteristic
431	#3967	C₂³	1	1	yes	characteristic
432	#3967	C₂³	1	1	yes	characteristic
433	#3967	C₂³	1	1	yes	characteristic
434	#3967	C₂³	1	1	yes	characteristic
435	#3967	C₂³	1	1	yes	characteristic
436	#3967	C₂³	1	1	yes	characteristic
437	#3964	C₂³	1	1	yes	characteristic
438	#3964	C₂³	1	1	yes	characteristic
439	C₂²⋊#168	C₂³	1	1	yes	characteristic
440	C₂²⋊#168	C₂³	1	1	yes	characteristic
441	#3953	C₂³	1	1	yes	characteristic
442	#3953	C₂³	1	1	yes	characteristic
443	#3952	C₂³	1	1	yes	characteristic
444	#3952	C₂³	1	1	yes	characteristic
445	#3952	C₂³	1	1	yes	characteristic
446	#3952	C₂³	1	1	yes	characteristic
447	#3950	C₂³	1	1	yes	characteristic
448	#3950	C₂³	1	1	yes	characteristic
449	#3949	C₂³	1	1	yes	characteristic
450	#3949	C₂³	1	1	yes	characteristic
451	#3948	C₂³	1	1	yes	characteristic
452	#3948	C₂³	1	1	yes	characteristic
453	#3948	C₂³	1	1	yes	characteristic
454	#3948	C₂³	1	1	yes	characteristic
455	#3948	C₂³	1	1	yes	characteristic
456	#3948	C₂³	1	1	yes	characteristic
457	#3947	C₂³	1	1	yes	characteristic
458	#3947	C₂³	1	1	yes	characteristic
459	#3946	C₂³	1	1	yes	characteristic
460	#3946	C₂³	1	1	yes	characteristic
461	#3946	C₂³	1	1	yes	characteristic
462	#3946	C₂³	1	1	yes	characteristic
463	C₈×Dic₅	C₂³	1	1	yes	characteristic
464	C₈×Dic₅	C₂³	1	1	yes	characteristic
465	#3942	C₂³	1	1	yes	characteristic
466	#3942	C₂³	1	1	yes	characteristic
467	#3942	C₂³	1	1	yes	characteristic
468	#3942	C₂³	1	1	yes	characteristic
469	#3942	C₂³	1	1	yes	characteristic
470	#3942	C₂³	1	1	yes	characteristic
471	#3941	C₂³	1	1	yes	characteristic
472	#3941	C₂³	1	1	yes	characteristic
473	#3940	C₂³	1	1	yes	characteristic
474	#3940	C₂³	1	1	yes	characteristic
475	#3939	C₂³	1	1	yes	characteristic
476	#3939	C₂³	1	1	yes	characteristic
477	#3939	C₂³	1	1	yes	characteristic
478	#3939	C₂³	1	1	yes	characteristic
479	#3939	C₂³	1	1	yes	characteristic
480	#3939	C₂³	1	1	yes	characteristic
481	C₄⋊#168	C₂³	1	1	yes	characteristic
482	C₄⋊#168	C₂³	1	1	yes	characteristic
483	C₄×#168	C₂³	1	1	yes	characteristic
484	C₄×#168	C₂³	1	1	yes	characteristic
485	#3461	—	5	1	no	—
486	C₄×2₋¹⁺⁴	—	5	1	no	—
487	#3127	—	5	1	no	—
488	#3127	—	5	1	no	—
489	#3124	—	5	1	no	—
490	#3124	—	5	1	no	—
491	#3121	—	5	1	no	—
492	#3121	—	5	1	no	—
493	#3120	—	5	1	no	—
494	#3120	—	5	1	no	—
495	#3108	—	5	1	no	—
496	#3108	D₅	1	1	yes	characteristic, complemented
497	#3107	—	5	1	no	—
498	#3107	—	5	1	no	—
499	#3104	—	5	1	no	—
500	#3104	—	5	1	no	—
501	#3102	—	5	1	no	—
502	#3102	—	5	1	no	—
503	#3098	—	5	1	no	—
504	#3097	—	5	1	no	—
505	#3083	—	5	1	no	—
506	#3082	—	5	1	no	—
507	#3046	—	5	1	no	—
508	#3044	—	5	1	no	—
509	#3013	—	5	1	no	—
510	#3011	—	5	1	no	—
511	C₄×#137	—	5	1	no	—
512	C₄×#137	—	5	1	no	—
513	C₄×#135	—	5	1	no	—
514	C₂×C₄×Q₁₆	—	5	1	no	—
515	#2922	—	5	1	no	—
516	C₂×C₅×Q₈	—	2	2	no	—
517	C₂×C₅×Q₈	—	2	2	no	—
518	C₂×C₅×Q₈	—	2	1	no	—
519	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
520	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
521	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
522	C₂×C₅×D₄	—	2	1	no	—
523	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
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	C₂×D₄	1	1	yes	characteristic
528	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
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	C₂×D₄	1	1	yes	characteristic
534	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
535	C₂²×Dic₅	—	2	1	no	—
536	C₂²×Dic₅	—	2	1	no	—
537	#713	—	2	8	no	—
538	#713	—	2	2	no	—
539	#713	—	2	2	no	—
540	#713	—	2	2	no	—
541	#713	#41	1	4	yes	—
542	Q₈×D₅	—	2	8	no	—
543	Q₈×D₅	—	2	2	no	—
544	Q₈×D₅	—	2	2	no	—
545	Q₈×D₅	—	2	2	no	—
546	Q₈×D₅	—	2	2	no	—
547	Q₈×D₅	—	2	2	no	—
548	Q₈×D₅	#41	1	4	yes	—
549	#711	—	2	2	no	—
550	#711	—	2	2	no	—
551	#709	—	2	8	no	—
552	#709	—	2	8	no	—
553	#709	—	2	2	no	—
554	#709	—	2	2	no	—
555	#709	—	2	2	no	—
556	#709	—	2	2	no	—
557	C₂×D₂₀	—	2	1	no	—
558	C₂×D₂₀	—	2	1	no	—
559	C₂×D₂₀	C₂×D₄	1	1	yes	characteristic
560	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
561	C₂×C₄×D₅	—	2	1	no	—
562	C₂×C₄×D₅	—	2	1	no	—
563	C₂×C₄×D₅	—	2	1	no	—
564	C₂×C₄×D₅	—	2	1	no	—
565	C₂×C₄×D₅	—	2	1	no	—
566	C₂×C₄×D₅	—	2	1	no	—
567	C₂×C₄×D₅	—	2	1	no	—
568	C₂×C₄×D₅	—	2	1	no	—
569	C₂×C₄×D₅	—	2	1	no	—
570	C₂×C₄×D₅	—	2	1	no	—
571	C₂×C₄×D₅	—	2	1	no	—
572	C₂×C₄×D₅	—	2	1	no	—
573	C₂×C₄×D₅	—	2	1	no	—
574	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
575	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
576	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
577	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
578	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
579	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
580	C₂×Dic₁₀	—	2	1	no	—
581	C₂×Dic₁₀	—	2	1	no	—
582	C₂×Dic₁₀	—	2	1	no	—
583	C₂×Dic₁₀	—	2	1	no	—
584	C₂×Dic₁₀	—	2	1	no	—
585	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
586	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
587	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
588	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
589	C₅×Q₁₆	—	2	2	no	—
590	C₅×Q₁₆	—	2	2	no	—
591	C₅×SD₁₆	—	2	2	no	—
592	C₅×SD₁₆	—	2	2	no	—
593	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
594	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
595	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
596	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
597	C₅×C₄⋊C₄	—	2	1	no	—
598	C₅×C₄⋊C₄	—	2	1	no	—
599	C₅×C₄⋊C₄	—	2	1	no	—
600	C₅×C₄⋊C₄	—	2	1	no	—
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	C₂⁴	1	1	yes	characteristic
607	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
608	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
609	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
610	C₅×C₂²⋊C₄	—	2	1	no	—
611	C₅×C₂²⋊C₄	—	2	1	no	—
612	C₅×C₂²⋊C₄	—	2	1	no	—
613	C₅×C₂²⋊C₄	—	2	1	no	—
614	C₅×C₂²⋊C₄	—	2	1	no	—
615	C₄²×C₅	—	2	1	no	—
616	C₄²×C₅	—	2	1	no	—
617	C₄²×C₅	—	2	1	no	—
618	C₄²×C₅	—	2	1	no	—
619	C₄²×C₅	—	2	1	no	—
620	C₄²×C₅	C₂×D₄	1	1	yes	characteristic
621	C₄²×C₅	C₂×D₄	1	1	yes	characteristic
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	C₂×D₄	1	1	yes	characteristic
632	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
633	#689	—	2	2	no	—
634	#689	—	2	2	no	—
635	#689	—	2	2	no	—
636	#689	—	2	2	no	—
637	#689	—	2	2	no	—
638	#688	—	2	2	no	—
639	#687	—	2	2	no	—
640	#686	—	2	2	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	C₂×D₄	1	1	yes	characteristic
652	#685	C₂×D₄	1	1	yes	characteristic
653	#685	C₂×D₄	1	1	yes	characteristic
654	#685	C₂×D₄	1	1	yes	characteristic
655	C₄⋊Dic₅	—	2	1	no	—
656	C₄⋊Dic₅	—	2	1	no	—
657	C₄⋊Dic₅	—	2	1	no	—
658	C₄⋊Dic₅	—	2	1	no	—
659	C₄⋊Dic₅	—	2	1	no	—
660	C₄⋊Dic₅	—	2	1	no	—
661	C₄⋊Dic₅	—	2	1	no	—
662	C₄⋊Dic₅	—	2	1	no	—
663	C₄⋊Dic₅	—	2	1	no	—
664	C₄⋊Dic₅	—	2	1	no	—
665	C₄⋊Dic₅	—	2	1	no	—
666	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
667	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
668	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
669	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
670	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
671	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
672	#683	—	2	1	no	—
673	#683	—	2	1	no	—
674	#683	—	2	1	no	—
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	—	2	1	no	—
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	#683	C₂×D₄	1	1	yes	characteristic
694	C₄×Dic₅	—	2	1	no	—
695	C₄×Dic₅	—	2	1	no	—
696	C₄×Dic₅	—	2	1	no	—
697	C₄×Dic₅	—	2	1	no	—
698	C₄×Dic₅	—	2	1	no	—
699	C₄×Dic₅	—	2	1	no	—
700	C₄×Dic₅	—	2	1	no	—
701	C₄×Dic₅	—	2	1	no	—
702	C₄×Dic₅	—	2	1	no	—
703	C₄×Dic₅	—	2	1	no	—
704	C₄×Dic₅	—	2	1	no	—
705	C₄×Dic₅	—	2	1	no	—
706	C₄×Dic₅	—	2	1	no	—
707	C₄×Dic₅	—	2	1	no	—
708	C₄×Dic₅	—	2	1	no	—
709	C₄×Dic₅	—	2	1	no	—
710	C₄×Dic₅	—	2	1	no	—
711	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
712	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
713	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
714	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
715	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
716	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
717	C₂×#168	C₂⁴	1	1	yes	characteristic
718	C₂×#168	C₂⁴	1	1	yes	characteristic
719	C₂×#168	C₂⁴	1	1	yes	characteristic
720	C₂×#168	C₂⁴	1	1	yes	characteristic
721	Dic₂₀	—	2	2	no	—
722	Dic₂₀	—	2	2	no	—
723	#677	—	2	2	no	—
724	#677	—	2	2	no	—
725	#676	—	2	2	no	—
726	#676	—	2	2	no	—
727	C₈×D₅	—	2	2	no	—
728	C₈×D₅	—	2	2	no	—
729	C₂×2₋¹⁺⁴	—	5	1	no	—
730	C₂×#137	—	5	1	no	—
731	C₂×#137	—	5	1	no	—
732	C₂×#135	—	5	1	no	—
733	C₂²×Q₁₆	—	5	1	no	—
734	#544	—	5	1	no	—
735	#542	—	5	1	no	—
736	#542	—	5	1	no	—
737	#542	—	10	1	no	—
738	#541	—	5	1	no	—
739	#541	—	5	1	no	—
740	#541	—	10	1	no	—
741	#539	—	10	1	no	—
742	#539	—	10	1	no	—
743	#537	—	5	1	no	—
744	#536	—	5	1	no	—
745	#536	—	5	1	no	—
746	#533	—	5	1	no	—
747	#533	—	5	1	no	—
748	#533	—	10	1	no	—
749	#529	—	5	1	no	—
750	#529	—	10	1	no	—
751	#529	—	10	1	no	—
752	#529	—	10	1	no	—
753	#529	C₂×D₅	1	1	yes	characteristic
754	#520	—	5	1	no	—
755	#520	—	5	1	no	—
756	#520	—	5	1	no	—
757	#520	—	5	1	no	—
758	#520	—	10	1	no	—
759	#520	—	10	1	no	—
760	#520	—	10	1	no	—
761	#519	—	5	1	no	—
762	#519	—	5	1	no	—
763	#519	—	5	1	no	—
764	#519	—	10	1	no	—
765	C₄×#41	—	5	1	no	—
766	C₄×#41	—	5	1	no	—
767	C₄×#41	—	5	1	no	—
768	C₄×#41	—	5	1	no	—
769	C₄×#41	—	5	1	no	—
770	C₄×#41	—	10	1	no	—
771	C₄×#41	—	10	1	no	—
772	C₄×#41	—	10	1	no	—
773	C₂×C₄×Q₈	—	5	1	no	—
774	C₂×C₄×Q₈	—	5	1	no	—
775	C₂×C₄×Q₈	—	5	1	no	—
776	C₂×C₄×Q₈	—	10	1	no	—
777	C₂×C₄×Q₈	C₂×D₅	1	1	yes	characteristic
778	#485	—	5	1	no	—
779	#485	—	5	1	no	—
780	#485	—	5	1	no	—
781	#485	—	5	1	no	—
782	#485	—	5	1	no	—
783	#485	—	5	1	no	—
784	#484	—	5	1	no	—
785	#484	—	5	1	no	—
786	#484	—	5	1	no	—
787	#484	—	5	1	no	—
788	#483	—	5	1	no	—
789	#483	C₂×D₅	1	1	yes	characteristic
790	#482	—	5	1	no	—
791	#482	—	5	1	no	—
792	#480	—	5	1	no	—
793	#480	C₂×D₅	1	1	yes	characteristic
794	#479	—	5	1	no	—
795	#479	—	5	1	no	—
796	#479	—	5	1	no	—
797	#479	—	5	1	no	—
798	#479	C₂×D₅	1	1	yes	characteristic
799	#479	C₂×D₅	1	1	yes	characteristic
800	#478	—	5	1	no	—
801	#478	—	5	1	no	—
802	#477	—	5	1	no	—
803	#477	—	5	1	no	—
804	#477	—	5	1	no	—
805	#477	—	5	1	no	—
806	#475	—	5	1	no	—
807	#475	—	5	1	no	—
808	#474	—	5	1	no	—
809	#474	—	5	1	no	—
810	#464	—	5	1	no	—
811	#464	—	5	1	no	—
812	#464	—	5	1	no	—
813	#464	—	5	1	no	—
814	#464	C₂×D₅	1	1	yes	characteristic
815	#464	C₂×D₅	1	1	yes	characteristic
816	#463	—	5	1	no	—
817	#463	—	5	1	no	—
818	#462	—	5	1	no	—
819	#462	—	5	1	no	—
820	#462	—	5	1	no	—
821	#462	—	5	1	no	—
822	#462	—	5	1	no	—
823	#462	—	5	1	no	—
824	#461	—	5	1	no	—
825	#461	—	5	1	no	—
826	#452	—	5	1	no	—
827	#452	—	5	1	no	—
828	#452	—	5	1	no	—
829	#452	—	5	1	no	—
830	#452	—	5	1	no	—
831	#452	—	5	1	no	—
832	#451	—	5	1	no	—
833	#451	—	5	1	no	—
834	#451	—	5	1	no	—
835	#451	—	5	1	no	—
836	#451	—	5	1	no	—
837	#451	C₂×D₅	1	1	yes	characteristic
838	#449	—	5	1	no	—
839	#449	—	5	1	no	—
840	#448	—	5	1	no	—
841	#448	C₂×D₅	1	1	yes	characteristic
842	#441	—	5	1	no	—
843	#441	—	5	1	no	—
844	#441	—	5	1	no	—
845	#441	—	5	1	no	—
846	#440	—	5	1	no	—
847	#440	—	5	1	no	—
848	#440	—	5	1	no	—
849	#440	—	5	1	no	—
850	C₄×Q₁₆	—	5	1	no	—
851	C₄×Q₁₆	—	5	1	no	—
852	C₄×Q₁₆	—	5	1	no	—
853	C₄×Q₁₆	—	5	1	no	—
854	C₄×Q₁₆	—	5	1	no	—
855	C₄×Q₁₆	—	5	1	no	—
856	C₄×Q₁₆	—	5	1	no	—
857	C₄×Q₁₆	—	5	1	no	—
858	C₄×Q₁₆	—	5	1	no	—
859	C₄×Q₁₆	—	5	1	no	—
860	C₄×Q₁₆	—	5	1	no	—
861	C₄×Q₁₆	—	5	1	no	—
862	C₄×Q₁₆	C₂×D₅	1	1	yes	characteristic
863	C₄×Q₁₆	C₂×D₅	1	1	yes	characteristic
864	C₄×SD₁₆	—	5	1	no	—
865	C₄×SD₁₆	—	5	1	no	—
866	C₄×SD₁₆	—	5	1	no	—
867	C₄×SD₁₆	—	5	1	no	—
868	C₄×SD₁₆	—	5	1	no	—
869	C₄×SD₁₆	—	5	1	no	—
870	C₄×SD₁₆	C₂×D₅	1	1	yes	characteristic
871	C₄×SD₁₆	C₂×D₅	1	1	yes	characteristic
872	C₄×D₈	—	5	1	no	—
873	C₄×D₈	—	5	1	no	—
874	#433	—	5	1	no	—
875	#433	—	5	1	no	—
876	#433	—	5	1	no	—
877	#433	—	5	1	no	—
878	#431	—	5	1	no	—
879	#431	—	5	1	no	—
880	#431	—	5	1	no	—
881	#431	C₂×D₅	1	1	yes	characteristic
882	#428	—	5	1	no	—
883	#428	—	5	1	no	—
884	#427	—	5	1	no	—
885	C₂×#107	—	5	1	no	—
886	#424	—	5	1	no	—
887	#424	—	5	1	no	—
888	#419	—	5	1	no	—
889	#419	—	5	1	no	—
890	#417	—	5	1	no	—
891	#417	—	5	1	no	—
892	#416	—	5	1	no	—
893	#416	—	5	1	no	—
894	C₂×#103	—	5	1	no	—
895	C₂×#103	—	5	1	no	—
896	#408	—	5	1	no	—
897	#408	—	5	1	no	—
898	C₄×M₁₆	—	5	1	no	—
899	C₂×C₄×C₈	—	5	1	no	—
900	C₂³×C₅	—	2	1	no	—
901	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
902	C₂²×D₅	—	2	1	no	—
903	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
904	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
905	C₅×Q₈	—	2	4	no	—
906	C₅×Q₈	—	2	1	no	—
907	C₅×Q₈	—	2	1	no	—
908	C₅×Q₈	—	2	1	no	—
909	C₅×Q₈	—	2	1	no	—
910	C₅×Q₈	C₂×#41	1	2	yes	—
911	C₅×Q₈	C₂×#41	1	2	yes	—
912	C₅×D₄	—	2	1	no	—
913	C₅×D₄	—	2	1	no	—
914	C₅×D₄	—	8	1	no	—
915	C₂×C₄×C₅	—	2	4	no	—
916	C₂×C₄×C₅	—	2	1	no	—
917	C₂×C₄×C₅	—	2	1	no	—
918	C₂×C₄×C₅	—	2	2	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	—	2	1	no	—
924	C₂×C₄×C₅	—	2	1	no	—
925	C₂×C₄×C₅	—	2	1	no	—
926	C₂×C₄×C₅	—	4	1	no	—
927	C₂×C₄×C₅	—	4	2	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	—	2	4	no	—
936	C₂²⋊D₅	—	2	2	no	—
937	C₂²⋊D₅	—	2	2	no	—
938	C₂²⋊D₅	—	4	2	no	—
939	C₂²⋊D₅	—	8	1	no	—
940	C₂×Dic₅	—	2	1	no	—
941	C₂×Dic₅	—	2	1	no	—
942	C₂×Dic₅	—	2	1	no	—
943	C₂×Dic₅	—	2	1	no	—
944	C₂×Dic₅	—	2	1	no	—
945	C₂×Dic₅	—	2	1	no	—
946	C₂×Dic₅	—	2	1	no	—
947	C₂×Dic₅	—	4	2	no	—
948	C₂×Dic₅	—	8	1	no	—
949	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
950	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
951	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
952	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
953	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
954	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
955	D₂₀	—	2	4	no	—
956	D₂₀	—	2	4	no	—
957	D₂₀	—	2	2	no	—
958	D₂₀	—	2	1	no	—
959	D₂₀	C₂×#41	1	2	yes	—
960	C₄×D₅	—	2	4	no	—
961	C₄×D₅	—	2	4	no	—
962	C₄×D₅	—	2	4	no	—
963	C₄×D₅	—	2	4	no	—
964	C₄×D₅	—	2	2	no	—
965	C₄×D₅	—	2	2	no	—
966	C₄×D₅	—	2	1	no	—
967	C₄×D₅	—	2	1	no	—
968	C₄×D₅	—	2	4	no	—
969	C₄×D₅	—	4	1	no	—
970	C₄×D₅	—	4	1	no	—
971	C₄×D₅	—	4	2	no	—
972	C₄×D₅	—	4	2	no	—
973	C₄×D₅	—	8	1	no	—
974	C₄×D₅	—	8	1	no	—
975	C₄×D₅	—	8	1	no	—
976	C₄×D₅	—	8	1	no	—
977	C₄×D₅	—	8	1	no	—
978	C₄×D₅	—	8	1	no	—
979	C₄×D₅	C₂×#41	1	2	yes	—
980	C₄×D₅	C₂×#41	1	2	yes	—
981	Dic₁₀	—	2	4	no	—
982	Dic₁₀	—	2	1	no	—
983	Dic₁₀	—	2	4	no	—
984	Dic₁₀	—	2	2	no	—
985	Dic₁₀	—	2	1	no	—
986	Dic₁₀	—	2	1	no	—
987	Dic₁₀	—	2	1	no	—
988	Dic₁₀	—	2	1	no	—
989	Dic₁₀	—	4	2	no	—
990	Dic₁₀	—	8	1	no	—
991	Dic₁₀	—	8	1	no	—
992	Dic₁₀	C₂×#41	1	2	yes	—
993	C₅×C₈	—	2	1	no	—
994	C₅×C₈	—	2	1	no	—
995	C₅×C₈	—	2	1	no	—
996	C₅×C₈	—	2	1	no	—
997	#168	—	2	1	no	—
998	#168	—	2	1	no	—
999	#168	—	2	1	no	—
1000	#168	—	2	1	no	—
1001	2₋¹⁺⁴	—	10	4	no	—
1002	2₋¹⁺⁴	—	10	4	no	—
1003	C₂×#41	—	5	1	no	—
1004	C₂×#41	—	5	1	no	—
1005	C₂×#41	—	5	1	no	—
1006	C₂×#41	—	5	1	no	—
1007	C₂×#41	—	5	1	no	—
1008	C₂×#41	—	10	1	no	—
1009	C₂×#41	—	10	1	no	—
1010	C₂×#41	—	10	1	no	—
1011	C₂²×Q₈	—	5	1	no	—
1012	C₂²×Q₈	—	5	1	no	—
1013	C₂²×Q₈	—	5	1	no	—
1014	C₂²×Q₈	—	10	1	no	—
1015	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic
1016	#137	—	10	4	no	—
1017	#137	—	10	4	no	—
1018	#135	—	10	4	no	—
1019	C₂×Q₁₆	—	5	1	no	—
1020	C₂×Q₁₆	—	5	1	no	—
1021	C₂×Q₁₆	—	5	1	no	—
1022	C₂×Q₁₆	—	5	1	no	—
1023	C₂×Q₁₆	—	5	1	no	—
1024	C₂×Q₁₆	—	5	1	no	—
1025	C₂×Q₁₆	—	5	1	no	—
1026	C₂×Q₁₆	—	10	4	no	—
1027	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1028	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1029	C₂×SD₁₆	—	5	1	no	—
1030	C₂×SD₁₆	—	5	1	no	—
1031	C₂×SD₁₆	—	5	1	no	—
1032	C₂×SD₁₆	—	5	1	no	—
1033	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1034	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1035	C₂×D₈	—	5	1	no	—
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	C₄⋊Q₈	—	5	1	no	—
1044	C₄⋊Q₈	—	10	1	no	—
1045	C₄⋊Q₈	—	10	1	no	—
1046	#126	—	2	1	no	—
1047	#126	—	10	1	no	—
1048	#126	—	10	1	no	—
1049	#126	—	10	1	no	—
1050	#126	—	10	1	no	—
1051	#126	—	10	1	no	—
1052	#126	—	10	1	no	—
1053	#126	—	10	1	no	—
1054	#125	—	5	1	no	—
1055	#125	—	10	1	no	—
1056	#125	—	10	1	no	—
1057	#125	—	10	1	no	—
1058	#125	—	10	1	no	—
1059	#125	—	10	1	no	—
1060	#125	—	10	1	no	—
1061	#125	—	10	1	no	—
1062	#125	C₂²×D₅	1	1	yes	characteristic
1063	#124	—	5	1	no	—
1064	#124	—	10	1	no	—
1065	#124	—	10	1	no	—
1066	#124	—	10	1	no	—
1067	#124	C₂²×D₅	1	1	yes	characteristic
1068	#123	—	2	1	no	—
1069	#123	—	10	1	no	—
1070	#123	—	10	1	no	—
1071	#123	—	10	1	no	—
1072	#123	—	10	1	no	—
1073	#123	—	10	1	no	—
1074	#123	—	10	1	no	—
1075	#123	—	10	1	no	—
1076	C₂²⋊Q₈	—	5	1	no	—
1077	C₂²⋊Q₈	—	5	1	no	—
1078	C₂²⋊Q₈	—	5	1	no	—
1079	C₂²⋊Q₈	—	5	1	no	—
1080	C₂²⋊Q₈	—	5	1	no	—
1081	C₂²⋊Q₈	—	10	1	no	—
1082	C₂²⋊Q₈	—	10	1	no	—
1083	C₂²⋊Q₈	—	10	1	no	—
1084	C₂²⋊Q₈	—	10	1	no	—
1085	C₂²⋊Q₈	—	10	1	no	—
1086	C₂²⋊Q₈	—	10	1	no	—
1087	C₂²⋊Q₈	—	10	1	no	—
1088	C₂²⋊Q₈	—	10	1	no	—
1089	C₂²⋊Q₈	—	10	1	no	—
1090	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1091	#121	—	5	1	no	—
1092	#121	—	10	1	no	—
1093	#121	—	10	1	no	—
1094	#121	—	10	1	no	—
1095	#121	C₂²×D₅	1	1	yes	characteristic
1096	C₄×Q₈	—	2	1	no	—
1097	C₄×Q₈	—	2	1	no	—
1098	C₄×Q₈	—	5	1	no	—
1099	C₄×Q₈	—	5	1	no	—
1100	C₄×Q₈	—	5	1	no	—
1101	C₄×Q₈	—	5	1	no	—
1102	C₄×Q₈	—	5	1	no	—
1103	C₄×Q₈	—	5	1	no	—
1104	C₄×Q₈	—	5	1	no	—
1105	C₄×Q₈	—	5	1	no	—
1106	C₄×Q₈	—	5	1	no	—
1107	C₄×Q₈	—	5	1	no	—
1108	C₄×Q₈	—	5	1	no	—
1109	C₄×Q₈	—	5	1	no	—
1110	C₄×Q₈	—	5	1	no	—
1111	C₄×Q₈	—	5	1	no	—
1112	C₄×Q₈	—	5	1	no	—
1113	C₄×Q₈	—	10	1	no	—
1114	C₄×Q₈	—	10	1	no	—
1115	C₄×Q₈	—	10	1	no	—
1116	C₄×Q₈	—	10	1	no	—
1117	C₄×Q₈	—	10	1	no	—
1118	C₄×Q₈	—	10	1	no	—
1119	C₄×Q₈	—	10	1	no	—
1120	C₄×Q₈	—	10	1	no	—
1121	C₄×Q₈	—	10	1	no	—
1122	C₄×Q₈	—	10	1	no	—
1123	C₄×Q₈	—	10	1	no	—
1124	C₄×Q₈	—	10	1	no	—
1125	C₄×Q₈	—	10	1	no	—
1126	C₄×Q₈	—	10	1	no	—
1127	C₄×Q₈	—	10	1	no	—
1128	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1129	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1130	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1131	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1132	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1133	C₄×D₄	—	2	1	no	—
1134	C₄×D₄	—	5	1	no	—
1135	C₄×D₄	—	5	1	no	—
1136	C₄×D₄	—	5	1	no	—
1137	C₄×D₄	—	5	1	no	—
1138	C₄×D₄	—	5	1	no	—
1139	C₄×D₄	—	5	1	no	—
1140	C₄×D₄	—	5	1	no	—
1141	C₄×D₄	—	5	1	no	—
1142	C₄×D₄	—	5	1	no	—
1143	C₄×D₄	—	5	1	no	—
1144	C₄×D₄	—	5	1	no	—
1145	C₄×D₄	—	10	1	no	—
1146	C₄×D₄	—	10	1	no	—
1147	C₄×D₄	—	10	1	no	—
1148	C₄×D₄	—	10	1	no	—
1149	C₄×D₄	—	10	1	no	—
1150	C₄×D₄	—	10	1	no	—
1151	C₄×D₄	—	10	1	no	—
1152	C₄×D₄	—	10	1	no	—
1153	C₄×D₄	—	10	1	no	—
1154	C₄×D₄	—	10	1	no	—
1155	C₄×D₄	—	10	1	no	—
1156	C₄×D₄	—	10	1	no	—
1157	C₄×D₄	—	10	1	no	—
1158	C₄×D₄	—	10	1	no	—
1159	C₄×D₄	—	10	1	no	—
1160	C₄×D₄	—	10	1	no	—
1161	C₄×D₄	—	10	1	no	—
1162	C₄×D₄	—	10	1	no	—
1163	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1164	#117	—	2	1	no	—
1165	#117	—	5	1	no	—
1166	#117	—	5	1	no	—
1167	#117	—	5	1	no	—
1168	#117	—	5	1	no	—
1169	#117	—	5	1	no	—
1170	#117	—	5	1	no	—
1171	#117	—	5	1	no	—
1172	#117	—	10	1	no	—
1173	#117	—	10	1	no	—
1174	#117	—	10	1	no	—
1175	#117	—	10	1	no	—
1176	#117	—	10	1	no	—
1177	#117	—	10	1	no	—
1178	#117	—	10	1	no	—
1179	#117	—	10	1	no	—
1180	#117	—	10	1	no	—
1181	#117	—	10	1	no	—
1182	#117	—	10	1	no	—
1183	#117	—	10	1	no	—
1184	#117	—	10	1	no	—
1185	#117	—	10	1	no	—
1186	#117	—	10	1	no	—
1187	#117	—	10	1	no	—
1188	C₂×C₄⋊C₄	—	2	1	no	—
1189	C₂×C₄⋊C₄	—	5	1	no	—
1190	C₂×C₄⋊C₄	—	5	1	no	—
1191	C₂×C₄⋊C₄	—	5	1	no	—
1192	C₂×C₄⋊C₄	—	10	1	no	—
1193	C₂×C₄⋊C₄	—	10	1	no	—
1194	C₂×C₄⋊C₄	—	10	1	no	—
1195	C₂×C₄⋊C₄	—	10	1	no	—
1196	C₂×C₄⋊C₄	—	10	1	no	—
1197	C₂×C₄⋊C₄	—	10	1	no	—
1198	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1199	C₂×C₄²	—	2	1	no	—
1200	C₂×C₄²	—	5	1	no	—
1201	C₂×C₄²	—	5	1	no	—
1202	C₂×C₄²	—	10	1	no	—
1203	C₂×C₄²	—	10	1	no	—
1204	C₂×C₄²	—	10	1	no	—
1205	C₂×C₄²	—	10	1	no	—
1206	C₂×C₄²	—	10	1	no	—
1207	C₂×C₄²	—	10	1	no	—
1208	C₂×C₄²	—	10	1	no	—
1209	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
1210	#107	—	5	1	no	—
1211	#107	—	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	C₂²×D₅	1	1	yes	characteristic
1225	#106	C₂²×D₅	1	1	yes	characteristic
1226	C₄⋊C₈	—	5	1	no	—
1227	C₄⋊C₈	—	5	1	no	—
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	C₂²×D₅	1	1	yes	characteristic
1233	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1234	#103	—	5	1	no	—
1235	#103	—	5	1	no	—
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	—	5	1	no	—
1243	#103	—	5	1	no	—
1244	#103	—	5	1	no	—
1245	#103	—	5	1	no	—
1246	#103	—	5	1	no	—
1247	#103	—	5	1	no	—
1248	#103	—	5	1	no	—
1249	#103	—	5	1	no	—
1250	#103	—	5	1	no	—
1251	#103	—	5	1	no	—
1252	#103	C₂²×D₅	1	1	yes	characteristic
1253	#103	C₂²×D₅	1	1	yes	characteristic
1254	#103	C₂²×D₅	1	1	yes	characteristic
1255	#103	C₂²×D₅	1	1	yes	characteristic
1256	#103	C₂²×D₅	1	1	yes	characteristic
1257	#103	C₂²×D₅	1	1	yes	characteristic
1258	#102	—	5	1	no	—
1259	#102	—	5	1	no	—
1260	#102	—	5	1	no	—
1261	#102	—	5	1	no	—
1262	#102	—	5	1	no	—
1263	#102	—	5	1	no	—
1264	#102	C₂²×D₅	1	1	yes	characteristic
1265	#102	C₂²×D₅	1	1	yes	characteristic
1266	C₂²⋊C₈	—	5	1	no	—
1267	C₂²⋊C₈	—	5	1	no	—
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	C₂²×D₅	1	1	yes	characteristic
1273	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1274	#97	—	5	1	no	—
1275	#97	—	5	1	no	—
1276	C₄×C₈	—	5	1	no	—
1277	C₄×C₈	—	5	1	no	—
1278	C₄×C₈	—	5	1	no	—
1279	C₄×C₈	—	5	1	no	—
1280	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
1281	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
1282	C₂²×C₅	—	2	1	no	—
1283	C₂²×C₅	—	2	1	no	—
1284	C₂²×C₅	—	2	1	no	—
1285	C₂²×C₅	—	4	1	no	—
1286	C₂²×C₅	—	4	1	no	—
1287	C₂²×C₅	—	4	1	no	—
1288	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1289	C₂×D₅	—	2	1	no	—
1290	C₂×D₅	—	2	1	no	—
1291	C₂×D₅	—	2	1	no	—
1292	C₂×D₅	—	2	1	no	—
1293	C₂×D₅	—	2	2	no	—
1294	C₂×D₅	—	2	1	no	—
1295	C₂×D₅	—	4	1	no	—
1296	C₂×D₅	—	4	1	no	—
1297	C₂×D₅	#525	1	2	yes	—
1298	C₄×C₅	—	2	1	no	—
1299	C₄×C₅	—	2	1	no	—
1300	C₄×C₅	—	2	2	no	—
1301	C₄×C₅	—	2	2	no	—
1302	C₄×C₅	—	2	1	no	—
1303	C₄×C₅	—	2	1	no	—
1304	C₄×C₅	—	4	1	no	—
1305	C₄×C₅	—	4	1	no	—
1306	C₄×C₅	—	4	1	no	—
1307	C₄×C₅	—	4	1	no	—
1308	C₄×C₅	—	4	1	no	—
1309	C₄×C₅	#578	1	2	yes	—
1310	C₄×C₅	C₂²×#41	1	1	yes	characteristic
1311	C₄×C₅	C₂²×#41	1	1	yes	characteristic
1312	Dic₅	—	2	1	no	—
1313	Dic₅	—	2	1	no	—
1314	Dic₅	—	2	1	no	—
1315	Dic₅	—	2	2	no	—
1316	Dic₅	—	2	1	no	—
1317	Dic₅	—	2	1	no	—
1318	Dic₅	—	4	1	no	—
1319	Dic₅	—	4	1	no	—
1320	Dic₅	—	4	1	no	—
1321	Dic₅	—	4	1	no	—
1322	Dic₅	—	4	1	no	—
1323	Dic₅	—	4	1	no	—
1324	Dic₅	#525	1	2	yes	—
1325	#41	—	5	4	no	—
1326	#41	—	10	2	no	—
1327	#41	—	10	2	no	—
1328	#41	—	10	2	no	—
1329	#41	—	10	2	no	—
1330	#41	—	10	8	no	—
1331	#41	—	10	8	no	—
1332	#41	—	10	2	no	—
1333	#41	—	10	2	no	—
1334	#41	—	10	2	no	—
1335	#41	—	10	2	no	—
1336	#41	—	10	8	no	—
1337	#41	—	10	2	no	—
1338	C₂×Q₈	—	2	2	no	—
1339	C₂×Q₈	—	2	2	no	—
1340	C₂×Q₈	—	2	1	no	—
1341	C₂×Q₈	—	5	1	no	—
1342	C₂×Q₈	—	5	4	no	—
1343	C₂×Q₈	—	5	1	no	—
1344	C₂×Q₈	—	5	1	no	—
1345	C₂×Q₈	—	5	1	no	—
1346	C₂×Q₈	—	10	1	no	—
1347	C₂×Q₈	—	10	1	no	—
1348	C₂×Q₈	—	10	1	no	—
1349	C₂×Q₈	—	10	1	no	—
1350	C₂×Q₈	—	10	2	no	—
1351	C₂×Q₈	—	10	2	no	—
1352	C₂×Q₈	—	10	2	no	—
1353	C₂×Q₈	—	10	2	no	—
1354	C₂×Q₈	—	10	8	no	—
1355	C₂×Q₈	—	10	2	no	—
1356	C₂×Q₈	—	10	1	no	—
1357	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1358	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1359	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1360	C₂×D₄	—	2	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	C₂³×D₅	1	1	yes	characteristic
1371	C₂²×C₄	—	2	1	no	—
1372	C₂²×C₄	—	2	1	no	—
1373	C₂²×C₄	—	2	1	no	—
1374	C₂²×C₄	—	5	1	no	—
1375	C₂²×C₄	—	5	1	no	—
1376	C₂²×C₄	—	5	1	no	—
1377	C₂²×C₄	—	5	1	no	—
1378	C₂²×C₄	—	5	1	no	—
1379	C₂²×C₄	—	5	1	no	—
1380	C₂²×C₄	—	10	1	no	—
1381	C₂²×C₄	—	10	1	no	—
1382	C₂²×C₄	—	10	1	no	—
1383	C₂²×C₄	—	10	1	no	—
1384	C₂²×C₄	—	10	1	no	—
1385	C₂²×C₄	—	10	1	no	—
1386	C₂²×C₄	—	10	1	no	—
1387	C₂²×C₄	—	10	1	no	—
1388	C₂²×C₄	—	10	1	no	—
1389	C₂²×C₄	—	10	1	no	—
1390	C₂²×C₄	—	10	1	no	—
1391	C₂²×C₄	—	10	1	no	—
1392	C₂²×C₄	—	10	1	no	—
1393	C₂²×C₄	—	10	1	no	—
1394	C₂²×C₄	—	10	1	no	—
1395	C₂²×C₄	D₄×D₅	1	1	yes	characteristic
1396	C₂²×C₄	D₄×D₅	1	1	yes	characteristic
1397	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1398	Q₁₆	—	2	2	no	—
1399	Q₁₆	—	2	2	no	—
1400	Q₁₆	—	10	2	no	—
1401	Q₁₆	—	10	2	no	—
1402	Q₁₆	—	10	2	no	—
1403	Q₁₆	—	10	2	no	—
1404	Q₁₆	—	10	2	no	—
1405	Q₁₆	—	10	2	no	—
1406	Q₁₆	—	10	2	no	—
1407	SD₁₆	—	2	2	no	—
1408	SD₁₆	—	2	2	no	—
1409	SD₁₆	—	10	2	no	—
1410	SD₁₆	—	10	2	no	—
1411	SD₁₆	—	10	2	no	—
1412	SD₁₆	—	10	2	no	—
1413	D₈	—	10	2	no	—
1414	M₁₆	—	10	2	no	—
1415	M₁₆	—	10	2	no	—
1416	C₂×C₈	—	5	1	no	—
1417	C₂×C₈	—	5	1	no	—
1418	C₂×C₈	—	5	1	no	—
1419	C₂×C₈	—	5	1	no	—
1420	C₂×C₈	—	10	2	no	—
1421	C₂×C₈	—	10	2	no	—
1422	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1423	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1424	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1425	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1426	C₄⋊C₄	—	2	1	no	—
1427	C₄⋊C₄	—	2	1	no	—
1428	C₄⋊C₄	—	2	1	no	—
1429	C₄⋊C₄	—	2	1	no	—
1430	C₄⋊C₄	—	2	1	no	—
1431	C₄⋊C₄	—	2	1	no	—
1432	C₄⋊C₄	—	2	1	no	—
1433	C₄⋊C₄	—	2	1	no	—
1434	C₄⋊C₄	—	2	1	no	—
1435	C₄⋊C₄	—	5	1	no	—
1436	C₄⋊C₄	—	5	1	no	—
1437	C₄⋊C₄	—	5	1	no	—
1438	C₄⋊C₄	—	5	1	no	—
1439	C₄⋊C₄	—	5	1	no	—
1440	C₄⋊C₄	—	5	1	no	—
1441	C₄⋊C₄	—	5	1	no	—
1442	C₄⋊C₄	—	5	1	no	—
1443	C₄⋊C₄	—	5	1	no	—
1444	C₄⋊C₄	—	5	1	no	—
1445	C₄⋊C₄	—	10	1	no	—
1446	C₄⋊C₄	—	10	1	no	—
1447	C₄⋊C₄	—	10	1	no	—
1448	C₄⋊C₄	—	10	1	no	—
1449	C₄⋊C₄	—	10	1	no	—
1450	C₄⋊C₄	—	10	1	no	—
1451	C₄⋊C₄	—	10	1	no	—
1452	C₄⋊C₄	—	10	1	no	—
1453	C₄⋊C₄	—	10	1	no	—
1454	C₄⋊C₄	—	10	1	no	—
1455	C₄⋊C₄	—	10	1	no	—
1456	C₄⋊C₄	—	10	1	no	—
1457	C₄⋊C₄	—	10	1	no	—
1458	C₄⋊C₄	—	10	1	no	—
1459	C₄⋊C₄	—	10	1	no	—
1460	C₄⋊C₄	—	10	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	C₂³×D₅	1	1	yes	characteristic
1475	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1476	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1477	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1478	C₂²⋊C₄	—	2	1	no	—
1479	C₂²⋊C₄	—	2	1	no	—
1480	C₂²⋊C₄	—	2	1	no	—
1481	C₂²⋊C₄	—	2	1	no	—
1482	C₂²⋊C₄	—	2	1	no	—
1483	C₂²⋊C₄	—	5	1	no	—
1484	C₂²⋊C₄	—	5	1	no	—
1485	C₂²⋊C₄	—	5	1	no	—
1486	C₂²⋊C₄	—	5	1	no	—
1487	C₂²⋊C₄	—	5	1	no	—
1488	C₂²⋊C₄	—	5	1	no	—
1489	C₂²⋊C₄	—	10	1	no	—
1490	C₂²⋊C₄	—	10	1	no	—
1491	C₂²⋊C₄	—	10	1	no	—
1492	C₂²⋊C₄	—	10	1	no	—
1493	C₂²⋊C₄	—	10	1	no	—
1494	C₂²⋊C₄	—	10	1	no	—
1495	C₂²⋊C₄	—	10	1	no	—
1496	C₂²⋊C₄	—	10	1	no	—
1497	C₂²⋊C₄	—	10	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	C₄²	—	2	1	no	—
1507	C₄²	—	2	1	no	—
1508	C₄²	—	2	1	no	—
1509	C₄²	—	2	1	no	—
1510	C₄²	—	2	1	no	—
1511	C₄²	—	5	1	no	—
1512	C₄²	—	5	1	no	—
1513	C₄²	—	5	1	no	—
1514	C₄²	—	5	1	no	—
1515	C₄²	—	5	1	no	—
1516	C₄²	—	5	1	no	—
1517	C₄²	—	10	1	no	—
1518	C₄²	—	10	1	no	—
1519	C₄²	—	10	1	no	—
1520	C₄²	—	10	1	no	—
1521	C₄²	—	10	1	no	—
1522	C₄²	—	10	1	no	—
1523	C₄²	—	10	1	no	—
1524	C₄²	—	10	1	no	—
1525	C₄²	—	10	1	no	—
1526	C₄²	—	10	1	no	—
1527	C₄²	—	10	1	no	—
1528	C₄²	—	10	1	no	—
1529	C₄²	—	10	1	no	—
1530	C₄²	—	10	1	no	—
1531	C₄²	—	10	1	no	—
1532	C₄²	—	10	1	no	—
1533	C₄²	—	10	1	no	—
1534	C₄²	D₄×D₅	1	1	yes	characteristic
1535	C₄²	D₄×D₅	1	1	yes	characteristic
1536	C₄²	C₂³×D₅	1	1	yes	characteristic
1537	C₄²	C₂³×D₅	1	1	yes	characteristic
1538	C₂×C₅	—	4	1	no	—
1539	C₂×C₅	—	8	1	no	—
1540	C₂×C₅	C₂×#525	1	1	yes	characteristic
1541	C₂×C₅	C₂×#578	1	1	yes	characteristic
1542	C₂×C₅	#3584	1	1	yes	characteristic
1543	D₅	—	2	2	no	—
1544	D₅	—	4	1	no	—
1545	D₅	—	4	2	no	—
1546	C₂³	—	2	1	no	—
1547	C₂³	—	5	1	no	—
1548	C₂³	—	5	1	no	—
1549	C₂³	—	10	1	no	—
1550	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1551	Q₈	—	2	4	no	—
1552	Q₈	—	2	1	no	—
1553	Q₈	—	2	1	no	—
1554	Q₈	—	2	1	no	—
1555	Q₈	—	2	1	no	—
1556	Q₈	—	5	2	no	—
1557	Q₈	—	10	4	no	—
1558	Q₈	—	10	2	no	—
1559	Q₈	—	10	4	no	—
1560	Q₈	—	10	1	no	—
1561	Q₈	—	10	1	no	—
1562	Q₈	—	10	1	no	—
1563	Q₈	—	10	1	no	—
1564	Q₈	—	10	1	no	—
1565	Q₈	—	20	2	no	—
1566	Q₈	—	40	1	no	—
1567	Q₈	—	40	1	no	—
1568	Q₈	D₅×#41	1	2	yes	—
1569	Q₈	D₅×#41	1	2	yes	—
1570	D₄	—	2	1	no	—
1571	D₄	—	2	1	no	—
1572	D₄	—	5	2	no	—
1573	D₄	—	8	1	no	—
1574	D₄	—	10	2	no	—
1575	D₄	—	10	4	no	—
1576	D₄	—	10	4	no	—
1577	D₄	—	10	2	no	—
1578	D₄	—	10	2	no	—
1579	D₄	—	10	4	no	—
1580	D₄	—	10	1	no	—
1581	D₄	—	20	2	no	—
1582	D₄	—	40	1	no	—
1583	C₂×C₄	—	2	4	no	—
1584	C₂×C₄	—	2	1	no	—
1585	C₂×C₄	—	2	1	no	—
1586	C₂×C₄	—	2	2	no	—
1587	C₂×C₄	—	2	1	no	—
1588	C₂×C₄	—	2	1	no	—
1589	C₂×C₄	—	2	1	no	—
1590	C₂×C₄	—	2	1	no	—
1591	C₂×C₄	—	2	1	no	—
1592	C₂×C₄	—	2	1	no	—
1593	C₂×C₄	—	2	1	no	—
1594	C₂×C₄	—	4	1	no	—
1595	C₂×C₄	—	4	2	no	—
1596	C₂×C₄	—	5	1	no	—
1597	C₂×C₄	—	5	2	no	—
1598	C₂×C₄	—	5	2	no	—
1599	C₂×C₄	—	5	1	no	—
1600	C₂×C₄	—	5	1	no	—
1601	C₂×C₄	—	5	1	no	—
1602	C₂×C₄	—	5	1	no	—
1603	C₂×C₄	—	5	1	no	—
1604	C₂×C₄	—	8	1	no	—
1605	C₂×C₄	—	10	4	no	—
1606	C₂×C₄	—	10	4	no	—
1607	C₂×C₄	—	10	4	no	—
1608	C₂×C₄	—	10	4	no	—
1609	C₂×C₄	—	10	4	no	—
1610	C₂×C₄	—	10	1	no	—
1611	C₂×C₄	—	10	2	no	—
1612	C₂×C₄	—	10	2	no	—
1613	C₂×C₄	—	10	1	no	—
1614	C₂×C₄	—	10	1	no	—
1615	C₂×C₄	—	10	1	no	—
1616	C₂×C₄	—	10	1	no	—
1617	C₂×C₄	—	10	1	no	—
1618	C₂×C₄	—	10	1	no	—
1619	C₂×C₄	—	10	1	no	—
1620	C₂×C₄	—	10	1	no	—
1621	C₂×C₄	—	20	1	no	—
1622	C₂×C₄	—	20	1	no	—
1623	C₂×C₄	—	20	2	no	—
1624	C₂×C₄	—	20	2	no	—
1625	C₂×C₄	—	20	2	no	—
1626	C₂×C₄	—	40	1	no	—
1627	C₂×C₄	—	40	1	no	—
1628	C₂×C₄	—	40	1	no	—
1629	C₂×C₄	—	40	1	no	—
1630	C₂×C₄	—	40	1	no	—
1631	C₂×C₄	—	40	1	no	—
1632	C₂×C₄	—	40	1	no	—
1633	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1634	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1635	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1636	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1637	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1638	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1639	C₈	—	2	1	no	—
1640	C₈	—	2	1	no	—
1641	C₈	—	2	1	no	—
1642	C₈	—	2	1	no	—
1643	C₈	—	10	1	no	—
1644	C₈	—	10	1	no	—
1645	C₈	—	10	1	no	—
1646	C₈	—	10	1	no	—
1647	C₅	#60573	1	1	yes	characteristic, complemented, Sylow
1648	C₂²	—	2	1	no	—
1649	C₂²	—	2	1	no	—
1650	C₂²	—	2	1	no	—
1651	C₂²	—	4	1	no	—
1652	C₂²	—	4	1	no	—
1653	C₂²	—	4	1	no	—
1654	C₂²	—	5	2	no	—
1655	C₂²	—	10	1	no	—
1656	C₂²	—	10	1	no	—
1657	C₂²	—	10	2	no	—
1658	C₂²	—	10	1	no	—
1659	C₂²	—	10	1	no	—
1660	C₂²	—	10	1	no	—
1661	C₂²	—	20	1	no	—
1662	C₂²	—	20	1	no	—
1663	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1664	C₄	—	2	2	no	—
1665	C₄	—	2	2	no	—
1666	C₄	—	2	1	no	—
1667	C₄	—	2	1	no	—
1668	C₄	—	2	1	no	—
1669	C₄	—	2	1	no	—
1670	C₄	—	4	1	no	—
1671	C₄	—	4	1	no	—
1672	C₄	—	4	1	no	—
1673	C₄	—	4	1	no	—
1674	C₄	—	4	1	no	—
1675	C₄	—	5	2	no	—
1676	C₄	—	10	1	no	—
1677	C₄	—	10	2	no	—
1678	C₄	—	10	1	no	—
1679	C₄	—	10	1	no	—
1680	C₄	—	10	1	no	—
1681	C₄	—	10	1	no	—
1682	C₄	—	20	1	no	—
1683	C₄	—	20	1	no	—
1684	C₄	—	20	1	no	—
1685	C₄	—	20	1	no	—
1686	C₄	—	20	1	no	—
1687	C₄	—	20	1	no	—
1688	C₄	#66113	1	2	yes	—
1689	C₄	C₂×D₅×#41	1	1	yes	characteristic
1690	C₄	C₂×D₅×#41	1	1	yes	characteristic
1691	C₂	—	4	1	no	—
1692	C₂	—	8	1	no	—
1693	C₂	—	10	2	no	—
1694	C₂	—	20	1	no	—
1695	C₂	—	20	2	no	—
1696	C₂	D₅×#525	1	1	yes	characteristic
1697	C₂	#10619088	1	1	yes	characteristic
1698	C₂	C₂×#66113	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂×D₄×D₅
commutator, cosocle	C₂×C₄×C₅	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₅
Fitting	C₅×#3108	C₂
socle	C₂²×C₅	C₂³×D₄
prime radical	#10611773	C₂
hypercenter	#3108	D₅
hypocenter	C₅	#60573
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂×C₄ ◁ C₂×C₄² ◁ #3108

Complements

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

N	H ≅ G/N	type
1. #10618050	C₂	semidirect
2. C₄×#4147	C₂	semidirect
3. C₅×#3108	C₂	semidirect
4. #10614871	C₂	semidirect
5. #10614178	C₂	semidirect
6. #10613160	C₂	semidirect
7. #10613147	C₂	semidirect
8. #10613016	C₂	semidirect
9. #10613004	C₂	semidirect
10. #10612965	C₂	semidirect
11. #10612964	C₂	semidirect
12. #10612942	C₂	semidirect
13. #10612940	C₂	semidirect
14. #10612334	C₂	semidirect
15. #10612332	C₂	semidirect
16. #10612305	C₂	semidirect
17. #10612303	C₂	semidirect
18. #10611916	C₂	semidirect
19. #10611908	C₂	semidirect
21. #10611763	C₂	semidirect
22. #10611478	C₂	semidirect
23. #10611453	C₂	semidirect
24. C₄×#4064	C₂	semidirect
25. C₄×D₅×Q₁₆	C₂	semidirect
26. #10611425	C₂	semidirect
27. #10611387	C₂	semidirect
28. C₄×#4061	C₂	semidirect
29. C₄×#4062	C₂	semidirect
30. #10611033	C₂	semidirect
31. #10611014	C₂	semidirect
496. #3108	D₅	semidirect
1647. C₅	#60573	semidirect

Maximal subgroups

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

subgroup	index
#10618050	2
C₄×#4147	2
C₅×#3108	2
#10614871	2
#10614178	2
#10613160	2
#10613147	2
#10613016	2
#10613004	2
#10612965	2
#10612964	2
#10612942	2
#10612940	2
#10612334	2
#10612332	2
#10612305	2
#10612303	2
#10611916	2
#10611908	2
#10611773	2
#10611763	2
#10611478	2
#10611453	2
C₄×#4064	2
C₄×D₅×Q₁₆	2
#10611425	2
#10611387	2
C₄×#4061	2
C₄×#4062	2
#10611033	2
#10611014	2
#60573	5