Subgroups — #12968347

Order 1280.

2014 conjugacy classes of subgroups.

The subgroup lattice has 1718 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10618453	C₂	1	1	yes	maximal, characteristic, complemented
2	#10617788	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#3125	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615198	C₂	1	1	yes	maximal, characteristic, complemented
5	#10614300	C₂	1	1	yes	maximal, characteristic, complemented
6	#10613160	C₂	1	1	yes	maximal, characteristic, complemented
7	#10613144	C₂	1	1	yes	maximal, characteristic, complemented
8	#10613058	C₂	1	1	yes	maximal, characteristic, complemented
9	#10613042	C₂	1	1	yes	maximal, characteristic, complemented
10	#10612790	C₂	1	1	yes	maximal, characteristic, complemented
11	#10612780	C₂	1	1	yes	maximal, characteristic, complemented
12	#10612742	C₂	1	1	yes	maximal, characteristic, complemented
13	#10612731	C₂	1	1	yes	maximal, characteristic, complemented
14	D₅×#464	C₂	1	1	yes	maximal, characteristic, complemented
15	#10612303	C₂	1	1	yes	maximal, characteristic, complemented
16	#10612266	C₂	1	1	yes	maximal, characteristic, complemented
17	#10612241	C₂	1	1	yes	maximal, characteristic, complemented
18	#10611961	C₂	1	1	yes	maximal, characteristic, complemented
19	#10611945	C₂	1	1	yes	maximal, characteristic, complemented
20	#10611817	C₂	1	1	yes	maximal, characteristic
21	#10611799	C₂	1	1	yes	maximal, characteristic, complemented
22	#10611601	C₂	1	1	yes	maximal, characteristic, complemented
23	#10611597	C₂	1	1	yes	maximal, characteristic, complemented
24	#10611565	C₂	1	1	yes	maximal, characteristic, complemented
25	#10611562	C₂	1	1	yes	maximal, characteristic, complemented
26	#10611387	C₂	1	1	yes	maximal, characteristic, complemented
27	#10611383	C₂	1	1	yes	maximal, characteristic, complemented
28	#10611380	C₂	1	1	yes	maximal, characteristic, complemented
29	#10611379	C₂	1	1	yes	maximal, characteristic, complemented
30	#10611125	C₂	1	1	yes	maximal, characteristic, complemented
31	#10611106	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#4150	C₂²	1	1	yes	characteristic
33	C₅×#542	C₂²	1	1	yes	characteristic
34	C₅×#520	C₂²	1	1	yes	characteristic, complemented
35	#41×Dic₅	C₂²	1	1	yes	characteristic, complemented
36	C₂×D₅×Q₁₆	C₂²	1	1	yes	characteristic
37	C₂×#4061	C₂²	1	1	yes	characteristic
38	C₂×D₅×SD₁₆	C₂²	1	1	yes	characteristic
39	C₂×#4057	C₂²	1	1	yes	characteristic
40	#66067	C₂²	1	1	yes	characteristic
41	#66062	C₂²	1	1	yes	characteristic
42	#66039	—	2	1	no	—
43	#66036	—	2	1	no	—
44	#66016	C₂²	1	1	yes	characteristic
45	#66015	—	2	1	no	—
46	#66013	—	2	1	no	—
47	D₅×#124	C₂²	1	1	yes	characteristic
48	#65998	—	2	1	no	—
49	#65992	—	2	1	no	—
50	#65975	—	2	1	no	—
51	#65971	—	2	1	no	—
52	#65962	C₂²	1	1	yes	characteristic
53	#65958	C₂²	1	1	yes	characteristic
54	#65941	C₂²	1	1	yes	characteristic
55	#65934	C₂²	1	1	yes	characteristic
56	#65914	C₂²	1	1	yes	characteristic
57	#65906	C₂²	1	1	yes	characteristic
58	#65906	C₂²	1	1	yes	characteristic
59	#65906	C₂²	1	1	yes	characteristic, complemented
60	C₄×Q₈×D₅	C₂²	1	1	yes	characteristic
61	C₄×Q₈×D₅	C₂²	1	1	yes	characteristic, complemented
62	#65891	C₂²	1	1	yes	characteristic
63	#65880	—	2	1	no	—
64	#65880	—	2	1	no	—
65	#65880	C₂²	1	1	yes	characteristic
66	#65880	C₂²	1	1	yes	characteristic, complemented
67	#65879	C₂²	1	1	yes	characteristic
68	C₄×#711	—	2	1	no	—
69	C₄×#711	—	2	1	no	—
70	C₄×#711	C₂²	1	1	yes	characteristic
71	C₄×#711	C₂²	1	1	yes	characteristic, complemented
72	#65868	C₂²	1	1	yes	characteristic
73	#65856	—	2	1	no	—
74	#65856	C₂²	1	1	yes	characteristic
75	#65850	—	2	1	no	—
76	#65850	C₂²	1	1	yes	characteristic, complemented
77	#65838	—	2	1	no	—
78	#65838	C₂²	1	1	yes	characteristic
79	C₂×#4033	—	2	1	no	—
80	C₂×#4033	C₂²	1	1	yes	characteristic, complemented
81	C₅×#483	C₂²	1	1	yes	characteristic, complemented
82	C₅×#481	C₂²	1	1	yes	characteristic
83	C₅×#476	C₂²	1	1	yes	characteristic, complemented
84	C₅×#475	C₂²	1	1	yes	characteristic, complemented
85	C₅×#464	C₂²	1	1	yes	characteristic
86	C₅×#463	C₂²	1	1	yes	characteristic
87	C₅×#452	C₂²	1	1	yes	characteristic, complemented
88	C₅×#449	C₂²	1	1	yes	characteristic
89	C₅×#442	C₂²	1	1	yes	characteristic
90	C₅×#441	C₂²	1	1	yes	characteristic, complemented
91	C₄×C₅×SD₁₆	C₂²	1	1	yes	characteristic
92	C₄×C₅×SD₁₆	C₂²	1	1	yes	characteristic, complemented
93	C₅×#433	C₂²	1	1	yes	characteristic, complemented
94	#65528	C₂²	1	1	yes	characteristic, complemented
95	#65527	C₂²	1	1	yes	characteristic
96	#65475	C₂²	1	1	yes	characteristic, complemented
97	#65474	C₂²	1	1	yes	characteristic
98	#65473	C₂²	1	1	yes	characteristic, complemented
99	#65462	C₂²	1	1	yes	characteristic, complemented
100	#65459	C₂²	1	1	yes	characteristic
101	#65455	C₂²	1	1	yes	characteristic
102	#65454	C₂²	1	1	yes	characteristic
103	#65453	C₂²	1	1	yes	characteristic, complemented
104	SD₁₆×Dic₅	C₂²	1	1	yes	characteristic
105	#65447	C₂²	1	1	yes	characteristic
106	#65442	C₂²	1	1	yes	characteristic
107	D₈×Dic₅	C₂²	1	1	yes	characteristic
108	#65383	C₂²	1	1	yes	characteristic, complemented
109	#65380	C₂²	1	1	yes	characteristic, complemented
110	#65343	C₂²	1	1	yes	characteristic
111	#65343	C₂²	1	1	yes	characteristic
112	#65339	C₂²	1	1	yes	characteristic, complemented
113	#65334	C₂²	1	1	yes	characteristic, complemented
114	#65329	C₂²	1	1	yes	characteristic
115	#65324	C₂²	1	1	yes	characteristic
116	#65319	C₂²	1	1	yes	characteristic, complemented
117	C₄×#689	C₂²	1	1	yes	characteristic, complemented
118	C₄×#689	C₂²	1	1	yes	characteristic, complemented
119	#65317	C₂²	1	1	yes	characteristic
120	#65315	C₂²	1	1	yes	characteristic
121	#65310	C₂²	1	1	yes	characteristic, complemented
122	#65307	C₂²	1	1	yes	characteristic
123	#65307	C₂²	1	1	yes	characteristic, complemented
124	C₄×#687	C₂²	1	1	yes	characteristic
125	#65305	C₂²	1	1	yes	characteristic
126	C₄×#686	C₂²	1	1	yes	characteristic
127	#65296	C₂²	1	1	yes	characteristic, complemented
128	#65289	C₂²	1	1	yes	characteristic, complemented
129	#65259	C₂²	1	1	yes	characteristic, complemented
130	#65256	C₂²	1	1	yes	characteristic
131	#65156	C₂²	1	1	yes	characteristic, complemented
132	#65155	C₂²	1	1	yes	characteristic
133	#65152	C₂²	1	1	yes	characteristic
134	#65151	C₂²	1	1	yes	characteristic, complemented
135	#65150	C₂²	1	1	yes	characteristic
136	#65150	C₂²	1	1	yes	characteristic
137	#65149	C₂²	1	1	yes	characteristic
138	#65149	C₂²	1	1	yes	characteristic
139	#65146	C₂²	1	1	yes	characteristic, complemented
140	#65146	C₂²	1	1	yes	characteristic, complemented
141	#65146	C₂²	1	1	yes	characteristic, complemented
142	#65146	C₂²	1	1	yes	characteristic, complemented
143	#65142	C₂²	1	1	yes	characteristic, complemented
144	#65142	C₂²	1	1	yes	characteristic, complemented
145	#65141	C₂²	1	1	yes	characteristic
146	#65141	C₂²	1	1	yes	characteristic
147	#65140	C₂²	1	1	yes	characteristic, complemented
148	#65139	C₂²	1	1	yes	characteristic, complemented
149	#65134	C₂²	1	1	yes	characteristic
150	#65134	C₂²	1	1	yes	characteristic
151	#65129	C₂²	1	1	yes	characteristic, complemented
152	#65129	C₂²	1	1	yes	characteristic, complemented
153	#65126	C₂²	1	1	yes	characteristic
154	D₅×C₄⋊C₈	C₂²	1	1	yes	characteristic
155	#65106	C₂²	1	1	yes	characteristic
156	#65104	C₂²	1	1	yes	characteristic, complemented
157	#65098	C₂²	1	1	yes	characteristic, complemented
158	#65097	C₂²	1	1	yes	characteristic, complemented
159	#65095	C₂²	1	1	yes	characteristic
160	#65091	C₂²	1	1	yes	characteristic
161	#65091	C₂²	1	1	yes	characteristic
162	#65091	C₂²	1	1	yes	characteristic
163	D₅×#103	C₂²	1	1	yes	characteristic
164	#65087	C₂²	1	1	yes	characteristic
165	#65087	C₂²	1	1	yes	characteristic
166	#65085	C₂²	1	1	yes	characteristic, complemented
167	#65085	C₂²	1	1	yes	characteristic, complemented
168	#65079	C₂²	1	1	yes	characteristic, complemented
169	#65079	C₂²	1	1	yes	characteristic, complemented
170	#65079	C₂²	1	1	yes	characteristic, complemented
171	#65074	C₂²	1	1	yes	characteristic
172	#65072	C₂²	1	1	yes	characteristic, complemented
173	#65070	C₂²	1	1	yes	characteristic
174	#65068	C₂²	1	1	yes	characteristic
175	#65063	C₂²	1	1	yes	characteristic
176	#65061	C₂²	1	1	yes	characteristic
177	#65061	C₂²	1	1	yes	characteristic
178	#65059	C₂²	1	1	yes	characteristic
179	D₅×#102	C₂²	1	1	yes	characteristic
180	#65056	C₂²	1	1	yes	characteristic
181	#65056	C₂²	1	1	yes	characteristic
182	#65052	C₂²	1	1	yes	characteristic, complemented
183	#65052	C₂²	1	1	yes	characteristic, complemented
184	#65047	C₂²	1	1	yes	characteristic, complemented
185	#65046	C₂²	1	1	yes	characteristic
186	#65046	C₂²	1	1	yes	characteristic
187	#65028	C₂²	1	1	yes	characteristic, complemented
188	#65027	C₂²	1	1	yes	characteristic
189	#65026	C₂²	1	1	yes	characteristic
190	#65016	C₂²	1	1	yes	characteristic
191	#65016	C₂²	1	1	yes	characteristic
192	#65012	C₂²	1	1	yes	characteristic, complemented
193	#65008	C₂²	1	1	yes	characteristic, complemented
194	#65007	C₂²	1	1	yes	characteristic, complemented
195	#65005	C₂²	1	1	yes	characteristic, complemented
196	#64999	C₂²	1	1	yes	characteristic
197	#64997	C₂²	1	1	yes	characteristic
198	#64994	C₂²	1	1	yes	characteristic, complemented
199	C₄×Dic₂₀	C₂²	1	1	yes	characteristic, complemented
200	C₄×#677	C₂²	1	1	yes	characteristic
201	#64978	C₂²	1	1	yes	characteristic
202	#64974	C₂²	1	1	yes	characteristic, complemented
203	#60595	—	5	1	no	maximal, Sylow
204	C₂×C₅×#41	C₂³	1	1	yes	characteristic
205	#4150	—	2	4	no	—
206	#4150	—	2	4	no	—
207	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
208	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
209	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
210	C₂×#711	—	2	1	no	—
211	C₂×#711	—	2	1	no	—
212	C₂×#711	C₂³	1	1	yes	characteristic
213	C₂×#711	C₂³	1	1	yes	characteristic
214	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
215	C₂×#709	—	2	1	no	—
216	C₂×#709	C₂³	1	1	yes	characteristic
217	C₂²×Dic₁₀	—	2	1	no	—
218	C₂²×Dic₁₀	C₂³	1	1	yes	characteristic
219	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
220	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
221	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
222	C₂×C₅×D₈	C₂³	1	1	yes	characteristic
223	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
224	C₅×#126	—	2	1	no	—
225	C₅×#124	—	2	1	no	—
226	C₅×#124	C₂³	1	1	yes	characteristic
227	C₅×#123	—	2	1	no	—
228	C₅×C₂²⋊Q₈	—	2	1	no	—
229	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
230	C₅×#121	C₂³	1	1	yes	characteristic
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×D₄	—	2	1	no	—
235	C₄×C₅×D₄	—	2	1	no	—
236	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
237	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
238	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
239	C₅×#117	—	2	1	no	—
240	C₅×#117	C₂³	1	1	yes	characteristic
241	C₂×C₅×C₄⋊C₄	—	2	1	no	—
242	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
243	#4093	—	2	1	no	—
244	#4093	C₂³	1	1	yes	characteristic
245	#4092	—	2	1	no	—
246	#4092	—	2	1	no	—
247	#4092	C₂³	1	1	yes	characteristic
248	Q₈×Dic₅	—	2	1	no	—
249	Q₈×Dic₅	C₂³	1	1	yes	characteristic
250	Q₈×Dic₅	C₂³	1	1	yes	characteristic
251	Q₈×Dic₅	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×#688	C₂³	1	1	yes	characteristic
256	#4086	—	2	1	no	—
257	#4084	C₂³	1	1	yes	characteristic
258	#4083	—	2	1	no	—
259	#4082	C₂³	1	1	yes	characteristic
260	#4081	—	2	1	no	—
261	D₄×Dic₅	—	2	1	no	—
262	D₄×Dic₅	—	2	1	no	—
263	D₄×Dic₅	—	2	1	no	—
264	D₄×Dic₅	C₂³	1	1	yes	characteristic
265	D₄×Dic₅	C₂³	1	1	yes	characteristic
266	D₄×Dic₅	C₂³	1	1	yes	characteristic
267	C₂×#687	C₂³	1	1	yes	characteristic
268	C₂×#687	C₂³	1	1	yes	characteristic
269	C₂×#687	C₂³	1	1	yes	characteristic
270	C₂×#686	C₂³	1	1	yes	characteristic
271	#4076	C₂³	1	1	yes	characteristic
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	—	2	1	no	—
276	C₄×C₂²⋊D₅	—	2	1	no	—
277	C₄×C₂²⋊D₅	—	2	1	no	—
278	C₄×C₂²⋊D₅	—	2	1	no	—
279	C₄×C₂²⋊D₅	—	2	1	no	—
280	C₂×#685	—	2	1	no	—
281	#4072	—	2	1	no	—
282	#4072	—	2	1	no	—
283	#4072	C₂³	1	1	yes	characteristic
284	#4070	C₂³	1	1	yes	characteristic
285	C₂×#683	—	2	1	no	—
286	C₂×#683	—	2	1	no	—
287	C₂×#683	—	2	1	no	—
288	C₂×C₄×Dic₅	—	2	1	no	—
289	C₂×C₄×Dic₅	—	2	1	no	—
290	C₂×C₄×Dic₅	—	2	1	no	—
291	C₂×C₄×Dic₅	—	2	1	no	—
292	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
293	D₅×Q₁₆	—	2	4	no	—
294	#4061	—	2	4	no	—
295	D₅×SD₁₆	—	2	4	no	—
296	#4057	—	2	4	no	—
297	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
298	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
299	C₂×#677	C₂³	1	1	yes	characteristic
300	C₂×#677	C₂³	1	1	yes	characteristic
301	C₂×#676	C₂³	1	1	yes	characteristic
302	C₂×#676	C₂³	1	1	yes	characteristic
303	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
304	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
305	#4044	—	2	1	no	—
306	#4044	—	2	1	no	—
307	#4044	—	2	1	no	—
308	#4044	—	2	1	no	—
309	#4043	—	2	1	no	—
310	#4043	C₂³	1	1	yes	characteristic
311	#4042	—	2	1	no	—
312	#4041	C₂³	1	1	yes	characteristic
313	#4040	—	2	1	no	—
314	#4040	—	2	1	no	—
315	#4040	—	2	1	no	—
316	#4039	—	2	1	no	—
317	#4039	D₄	1	1	yes	characteristic
318	#4039	D₄	1	1	yes	characteristic
319	#4039	C₂³	1	1	yes	characteristic
320	#4038	—	2	1	no	—
321	#4038	—	2	1	no	—
322	#4038	—	2	1	no	—
323	#4038	—	2	1	no	—
324	#4038	C₂³	1	1	yes	characteristic
325	#4038	C₂³	1	1	yes	characteristic
326	#4038	C₂³	1	1	yes	characteristic
327	#4038	C₂³	1	1	yes	characteristic
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	#4036	C₂³	1	1	yes	characteristic
333	#4036	C₂³	1	1	yes	characteristic
334	#4034	—	2	1	no	—
335	#4033	—	2	1	no	—
336	#4033	—	2	1	no	—
337	#4033	—	2	1	no	—
338	#4033	—	2	1	no	—
339	#4033	—	2	1	no	—
340	#4033	—	2	1	no	—
341	#4033	—	2	1	no	—
342	#4033	—	2	1	no	—
343	#4033	—	2	1	no	—
344	#4033	—	2	1	no	—
345	#4033	—	2	1	no	—
346	#4033	D₄	1	1	yes	characteristic
347	#4033	D₄	1	1	yes	characteristic
348	#4033	C₂³	1	1	yes	characteristic
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	#4032	—	2	1	no	—
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	#4029	—	2	1	no	—
362	#4029	—	2	1	no	—
363	#4029	—	2	1	no	—
364	#4028	—	2	1	no	—
365	#4027	—	2	1	no	—
366	#4027	—	2	1	no	—
367	#4027	—	2	1	no	—
368	#4027	—	2	1	no	—
369	#4027	—	2	1	no	—
370	#4027	—	2	1	no	—
371	#4027	D₄	1	1	yes	characteristic
372	#4027	D₄	1	1	yes	characteristic
373	#4027	D₄	1	1	yes	characteristic
374	#4027	D₄	1	1	yes	characteristic
375	D₅×C₂²⋊C₄	—	2	1	no	—
376	D₅×C₂²⋊C₄	—	2	1	no	—
377	D₅×C₂²⋊C₄	—	2	1	no	—
378	#4025	—	2	1	no	—
379	#4025	—	2	1	no	—
380	#4025	—	2	1	no	—
381	#4024	—	2	1	no	—
382	#4023	—	2	1	no	—
383	#4023	—	2	1	no	—
384	#4023	—	2	1	no	—
385	#4023	—	2	1	no	—
386	#4023	—	2	1	no	—
387	#4023	—	2	1	no	—
388	#4023	—	2	1	no	—
389	#4021	C₂³	1	1	yes	characteristic
390	C₄×D₂₀	—	2	1	no	—
391	C₄×D₂₀	C₂³	1	1	yes	characteristic
392	#4018	—	2	1	no	—
393	#4018	—	2	1	no	—
394	#4018	—	2	1	no	—
395	#4018	—	2	1	no	—
396	#4018	C₂³	1	1	yes	characteristic
397	#4018	C₂³	1	1	yes	characteristic
398	C₄²×D₅	—	2	1	no	—
399	C₄²×D₅	—	2	1	no	—
400	C₄²×D₅	C₂³	1	1	yes	characteristic
401	C₄²×D₅	C₂³	1	1	yes	characteristic
402	#4015	C₂³	1	1	yes	characteristic
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	—	2	1	no	—
408	C₄×Dic₁₀	C₂³	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×#106	C₂³	1	1	yes	characteristic
414	C₅×#106	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×#102	C₂³	1	1	yes	characteristic
424	C₅×#102	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	C₅×#97	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	#3964	C₂³	1	1	yes	characteristic
436	#3964	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	#3935	C₂³	1	1	yes	characteristic
484	C₄×#168	C₂³	1	1	yes	characteristic
485	#3510	—	5	1	no	—
486	C₄×2₋¹⁺⁴	—	5	1	no	—
487	#3125	—	5	1	no	—
488	#3125	D₅	1	1	yes	characteristic, complemented
489	#3124	—	5	1	no	—
490	#3124	—	5	1	no	—
491	#3121	—	5	1	no	—
492	#3121	—	5	1	no	—
493	#3121	—	5	1	no	—
494	#3121	—	5	1	no	—
495	#3117	—	5	1	no	—
496	#3117	—	5	1	no	—
497	#3111	—	5	1	no	—
498	#3111	—	5	1	no	—
499	#3108	—	5	1	no	—
500	#3108	—	5	1	no	—
501	#3102	—	5	1	no	—
502	#3102	—	5	1	no	—
503	#3097	—	5	1	no	—
504	#3096	—	5	1	no	—
505	#3078	—	5	1	no	—
506	#3076	—	5	1	no	—
507	#3040	—	5	1	no	—
508	C₂×#464	—	5	1	no	—
509	#3011	—	5	1	no	—
510	#3010	—	5	1	no	—
511	#2950	—	5	1	no	—
512	#2949	—	5	1	no	—
513	#2947	—	5	1	no	—
514	#2946	—	5	1	no	—
515	#2925	—	5	1	no	—
516	C₂³×D₅	—	2	1	no	—
517	C₅×#41	—	2	2	no	—
518	C₅×#41	—	2	2	no	—
519	C₂×C₅×Q₈	—	2	1	no	—
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	—	2	1	no	—
524	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
525	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
530	C₂²×C₄×C₅	—	2	1	no	—
531	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
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	C₂×D₄	1	1	yes	characteristic
538	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
539	C₂²×Dic₅	—	2	1	no	—
540	C₂²×Dic₅	—	2	1	no	—
541	C₂²×Dic₅	—	2	1	no	—
542	C₂²×Dic₅	—	2	1	no	—
543	C₂²×Dic₅	—	2	1	no	—
544	C₂²×Dic₅	—	2	1	no	—
545	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
546	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
547	Q₈×D₅	—	2	2	no	—
548	Q₈×D₅	—	2	2	no	—
549	Q₈×D₅	—	2	2	no	—
550	Q₈×D₅	—	2	2	no	—
551	Q₈×D₅	—	2	2	no	—
552	Q₈×D₅	#41	1	4	yes	—
553	#711	—	2	8	no	—
554	#711	—	2	8	no	—
555	#711	—	2	2	no	—
556	#711	—	2	2	no	—
557	#711	—	2	2	no	—
558	#711	#41	1	4	yes	—
559	D₄×D₅	—	2	2	no	—
560	D₄×D₅	—	2	2	no	—
561	#709	—	2	8	no	—
562	#709	—	2	2	no	—
563	#709	—	2	2	no	—
564	C₂×D₂₀	—	2	1	no	—
565	C₂×D₂₀	C₂×D₄	1	1	yes	characteristic
566	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
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	8	no	—
581	C₂×Dic₁₀	—	2	1	no	—
582	C₂×Dic₁₀	—	2	1	no	—
583	C₂×Dic₁₀	—	2	1	no	—
584	C₂×Dic₁₀	—	2	2	no	—
585	C₂×Dic₁₀	—	2	2	no	—
586	C₂×Dic₁₀	—	2	1	no	—
587	C₂×Dic₁₀	—	2	1	no	—
588	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
589	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
590	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
591	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
592	C₅×Q₁₆	—	2	2	no	—
593	C₅×SD₁₆	—	2	2	no	—
594	C₅×SD₁₆	—	2	2	no	—
595	C₅×D₈	—	2	2	no	—
596	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
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	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	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	—	2	1	no	—
619	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
620	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
621	C₄²×C₅	—	2	1	no	—
622	C₄²×C₅	—	2	1	no	—
623	C₄²×C₅	—	2	1	no	—
624	C₄²×C₅	C₂⁴	1	1	yes	characteristic
625	C₄²×C₅	C₂⁴	1	1	yes	characteristic
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	C₂²⋊Dic₅	—	2	1	no	—
633	C₂²⋊Dic₅	—	2	1	no	—
634	#689	—	2	2	no	—
635	#689	—	2	2	no	—
636	#689	—	2	2	no	—
637	#688	—	2	2	no	—
638	#687	—	2	2	no	—
639	#687	—	2	2	no	—
640	#687	—	2	2	no	—
641	#686	—	2	2	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	C₂×D₄	1	1	yes	characteristic
657	#685	C₂×D₄	1	1	yes	characteristic
658	#685	C₂×D₄	1	1	yes	characteristic
659	#685	C₂×D₄	1	1	yes	characteristic
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	—	2	1	no	—
667	C₄⋊Dic₅	C₂⁴	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	#683	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
688	#683	C₂×D₄	1	1	yes	characteristic
689	#683	C₂×D₄	1	1	yes	characteristic
690	#683	C₂×D₄	1	1	yes	characteristic
691	C₄×Dic₅	—	2	1	no	—
692	C₄×Dic₅	—	2	1	no	—
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	—	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	C₂×D₄	1	1	yes	characteristic
710	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
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×AGL(1,ℤ/8)	—	5	1	no	—
732	C₂²×Q₁₆	—	5	1	no	—
733	C₂²×SD₁₆	—	5	1	no	—
734	#559	—	10	1	no	—
735	#559	—	10	1	no	—
736	#556	—	10	1	no	—
737	#556	—	10	1	no	—
738	#551	—	10	1	no	—
739	#551	—	10	1	no	—
740	#551	—	10	1	no	—
741	#551	—	10	1	no	—
742	#542	—	5	1	no	—
743	#542	—	5	1	no	—
744	#542	—	5	1	no	—
745	#542	C₂×D₅	1	1	yes	characteristic
746	#536	—	5	1	no	—
747	#535	—	5	1	no	—
748	#533	—	5	1	no	—
749	#529	—	5	1	no	—
750	#529	—	5	1	no	—
751	#529	—	5	1	no	—
752	#529	—	5	1	no	—
753	C₂×#124	—	5	1	no	—
754	#520	—	5	1	no	—
755	#520	—	5	1	no	—
756	#520	—	5	1	no	—
757	#520	—	10	1	no	—
758	#520	—	10	1	no	—
759	#520	—	10	1	no	—
760	#520	C₂×D₅	1	1	yes	characteristic, complemented
761	#519	—	5	1	no	—
762	#519	—	5	1	no	—
763	#519	—	5	1	no	—
764	#519	—	5	1	no	—
765	#519	—	10	1	no	—
766	#518	—	5	1	no	—
767	C₄×#41	—	5	1	no	—
768	C₄×#41	—	5	1	no	—
769	C₄×#41	—	5	1	no	—
770	C₄×#41	—	5	1	no	—
771	C₄×#41	—	10	1	no	—
772	C₄×#41	—	10	1	no	—
773	C₄×#41	—	10	1	no	—
774	C₂×C₄×Q₈	—	5	1	no	—
775	C₂×C₄×Q₈	—	5	1	no	—
776	C₂×C₄×Q₈	—	5	1	no	—
777	C₂×C₄×Q₈	—	10	1	no	—
778	#485	—	5	1	no	—
779	#485	—	5	1	no	—
780	#485	—	5	1	no	—
781	#485	—	5	1	no	—
782	#484	—	5	1	no	—
783	#484	—	5	1	no	—
784	#483	—	5	1	no	—
785	#483	C₂×D₅	1	1	yes	characteristic, complemented
786	#482	—	5	1	no	—
787	#482	—	5	1	no	—
788	#482	—	5	1	no	—
789	#482	—	5	1	no	—
790	#481	—	5	1	no	—
791	#481	C₂×D₅	1	1	yes	characteristic
792	#480	—	5	1	no	—
793	#480	—	5	1	no	—
794	#479	—	5	1	no	—
795	#479	—	5	1	no	—
796	#479	—	5	1	no	—
797	#479	—	5	1	no	—
798	#479	—	5	1	no	—
799	#479	—	5	1	no	—
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	#476	C₂×D₅	1	1	yes	characteristic, complemented
806	#475	—	5	1	no	—
807	#475	—	5	1	no	—
808	#475	C₂×D₅	1	1	yes	characteristic, complemented
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	—	5	1	no	—
815	#464	—	5	1	no	—
816	#464	—	5	1	no	—
817	#464	—	5	1	no	—
818	#464	—	5	1	no	—
819	#464	—	5	1	no	—
820	#464	—	5	1	no	—
821	#464	C₂×D₅	1	1	yes	characteristic
822	#463	—	5	1	no	—
823	#463	—	5	1	no	—
824	#463	—	5	1	no	—
825	#463	C₂×D₅	1	1	yes	characteristic
826	#452	—	5	1	no	—
827	#452	—	5	1	no	—
828	#452	—	5	1	no	—
829	#452	C₂×D₅	1	1	yes	characteristic, complemented
830	#451	—	5	1	no	—
831	#451	—	5	1	no	—
832	#451	—	5	1	no	—
833	#451	—	5	1	no	—
834	#449	—	5	1	no	—
835	#449	—	5	1	no	—
836	#449	—	5	1	no	—
837	#449	C₂×D₅	1	1	yes	characteristic
838	#448	—	5	1	no	—
839	#448	—	5	1	no	—
840	#448	—	5	1	no	—
841	#448	—	5	1	no	—
842	#442	—	5	1	no	—
843	#442	C₂×D₅	1	1	yes	characteristic
844	#441	—	5	1	no	—
845	#441	—	5	1	no	—
846	#441	—	5	1	no	—
847	#441	—	5	1	no	—
848	#441	—	5	1	no	—
849	#441	C₂×D₅	1	1	yes	characteristic, complemented
850	#440	—	5	1	no	—
851	#440	—	5	1	no	—
852	#440	—	5	1	no	—
853	#440	—	5	1	no	—
854	#440	—	5	1	no	—
855	#440	—	5	1	no	—
856	#440	—	5	1	no	—
857	#440	—	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	—	5	1	no	—
863	C₄×Q₁₆	—	5	1	no	—
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, complemented
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	C₂×D₅	1	1	yes	characteristic, complemented
878	#432	—	5	1	no	—
879	#432	—	5	1	no	—
880	#431	—	5	1	no	—
881	#431	—	5	1	no	—
882	#428	—	5	1	no	—
883	#428	—	5	1	no	—
884	#427	—	5	1	no	—
885	#427	—	5	1	no	—
886	#423	—	5	1	no	—
887	C₂×C₄⋊C₈	—	5	1	no	—
888	#419	—	5	1	no	—
889	#419	—	5	1	no	—
890	#419	—	5	1	no	—
891	#418	—	5	1	no	—
892	#416	—	5	1	no	—
893	#416	—	5	1	no	—
894	C₂×#103	—	5	1	no	—
895	C₂×#102	—	5	1	no	—
896	#408	—	5	1	no	—
897	#408	—	5	1	no	—
898	#405	—	5	1	no	—
899	#405	—	5	1	no	—
900	C₂³×C₅	—	2	1	no	—
901	C₂³×C₅	—	2	1	no	—
902	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
903	C₂²×D₅	—	2	1	no	—
904	C₂²×D₅	—	4	2	no	—
905	C₂²×D₅	—	8	1	no	—
906	C₂²×D₅	—	8	1	no	—
907	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
908	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
909	C₅×Q₈	—	2	1	no	—
910	C₅×Q₈	—	2	1	no	—
911	C₅×Q₈	—	2	1	no	—
912	C₅×Q₈	—	8	1	no	—
913	C₅×Q₈	C₂×#41	1	2	yes	—
914	C₅×D₄	—	2	4	no	—
915	C₅×D₄	—	2	1	no	—
916	C₅×D₄	—	2	1	no	—
917	C₅×D₄	—	2	1	no	—
918	C₅×D₄	—	8	1	no	—
919	C₅×D₄	C₂×#41	1	2	yes	—
920	C₂×C₄×C₅	—	2	4	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	—	2	1	no	—
927	C₂×C₄×C₅	—	2	1	no	—
928	C₂×C₄×C₅	—	2	1	no	—
929	C₂×C₄×C₅	—	8	1	no	—
930	C₂×C₄×C₅	—	8	1	no	—
931	C₂×C₄×C₅	—	8	1	no	—
932	C₂×C₄×C₅	—	8	1	no	—
933	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
934	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
935	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
936	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
937	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
938	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
939	C₂²⋊D₅	—	2	4	no	—
940	C₂²⋊D₅	—	2	2	no	—
941	C₂²⋊D₅	—	2	4	no	—
942	C₂²⋊D₅	—	2	2	no	—
943	C₂²⋊D₅	—	4	2	no	—
944	C₂²⋊D₅	—	8	1	no	—
945	C₂²⋊D₅	—	8	1	no	—
946	C₂×Dic₅	—	2	4	no	—
947	C₂×Dic₅	—	2	4	no	—
948	C₂×Dic₅	—	2	1	no	—
949	C₂×Dic₅	—	2	1	no	—
950	C₂×Dic₅	—	2	4	no	—
951	C₂×Dic₅	—	2	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	—	4	1	no	—
957	C₂×Dic₅	—	4	1	no	—
958	C₂×Dic₅	—	4	2	no	—
959	C₂×Dic₅	—	8	1	no	—
960	C₂×Dic₅	—	8	1	no	—
961	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
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	D₂₀	—	2	2	no	—
968	D₂₀	—	2	1	no	—
969	D₂₀	—	2	1	no	—
970	D₂₀	—	8	1	no	—
971	C₄×D₅	—	2	4	no	—
972	C₄×D₅	—	2	4	no	—
973	C₄×D₅	—	2	1	no	—
974	C₄×D₅	—	2	1	no	—
975	C₄×D₅	—	4	1	no	—
976	C₄×D₅	—	4	1	no	—
977	C₄×D₅	—	4	1	no	—
978	C₄×D₅	—	4	1	no	—
979	C₄×D₅	—	4	2	no	—
980	C₄×D₅	—	8	1	no	—
981	C₄×D₅	—	8	1	no	—
982	C₄×D₅	—	8	1	no	—
983	C₄×D₅	—	8	1	no	—
984	C₄×D₅	C₂×#41	1	2	yes	—
985	C₄×D₅	C₂×#41	1	2	yes	—
986	Dic₁₀	—	2	4	no	—
987	Dic₁₀	—	2	4	no	—
988	Dic₁₀	—	2	1	no	—
989	Dic₁₀	—	2	1	no	—
990	Dic₁₀	—	2	2	no	—
991	Dic₁₀	—	2	4	no	—
992	Dic₁₀	—	2	1	no	—
993	Dic₁₀	—	2	1	no	—
994	Dic₁₀	—	4	2	no	—
995	Dic₁₀	—	8	1	no	—
996	Dic₁₀	C₂×#41	1	2	yes	—
997	Dic₁₀	C₂×#41	1	2	yes	—
998	C₅×C₈	—	2	1	no	—
999	C₅×C₈	—	2	1	no	—
1000	C₅×C₈	—	2	1	no	—
1001	C₅×C₈	—	2	1	no	—
1002	#168	—	2	1	no	—
1003	#168	—	2	1	no	—
1004	#168	—	2	1	no	—
1005	#168	—	2	1	no	—
1006	2₋¹⁺⁴	—	10	4	no	—
1007	2₋¹⁺⁴	—	10	4	no	—
1008	C₂×#41	—	5	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	C₂²×D₅	1	1	yes	characteristic
1015	C₂²×Q₈	—	5	1	no	—
1016	C₂²×Q₈	—	5	1	no	—
1017	C₂²×Q₈	—	5	1	no	—
1018	C₂²×Q₈	—	5	1	no	—
1019	C₂²×Q₈	—	10	1	no	—
1020	C₂²×D₄	—	5	1	no	—
1021	#137	—	10	4	no	—
1022	AGL(1,ℤ/8)	—	10	4	no	—
1023	C₂×Q₁₆	—	5	1	no	—
1024	C₂×Q₁₆	—	5	1	no	—
1025	C₂×Q₁₆	—	5	1	no	—
1026	C₂×Q₁₆	—	5	1	no	—
1027	C₂×Q₁₆	—	5	1	no	—
1028	C₂×Q₁₆	—	10	4	no	—
1029	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1030	C₂×SD₁₆	—	5	1	no	—
1031	C₂×SD₁₆	—	5	1	no	—
1032	C₂×SD₁₆	—	5	1	no	—
1033	C₂×SD₁₆	—	5	1	no	—
1034	C₂×SD₁₆	—	5	1	no	—
1035	C₂×SD₁₆	—	5	1	no	—
1036	C₂×SD₁₆	—	10	4	no	—
1037	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1038	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1039	C₂×D₈	—	5	1	no	—
1040	C₂×D₈	C₂²×D₅	1	1	yes	characteristic
1041	C₂×M₁₆	—	5	1	no	—
1042	C₂×M₁₆	—	5	1	no	—
1043	C₂²×C₈	—	5	1	no	—
1044	C₂²×C₈	—	5	1	no	—
1045	C₄⋊Q₈	—	5	1	no	—
1046	C₄⋊Q₈	—	10	1	no	—
1047	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1048	#127	—	10	1	no	—
1049	#126	—	2	1	no	—
1050	#126	—	10	1	no	—
1051	#126	—	10	1	no	—
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	#125	—	5	1	no	—
1058	#125	—	5	1	no	—
1059	#124	—	2	1	no	—
1060	#124	—	5	1	no	—
1061	#124	—	5	1	no	—
1062	#124	—	5	1	no	—
1063	#124	—	10	1	no	—
1064	#124	—	10	1	no	—
1065	#124	—	10	1	no	—
1066	#124	—	10	1	no	—
1067	#124	—	10	1	no	—
1068	#124	—	10	1	no	—
1069	#124	—	10	1	no	—
1070	#124	C₂²×D₅	1	1	yes	characteristic
1071	#123	—	2	1	no	—
1072	#123	—	10	1	no	—
1073	#123	—	10	1	no	—
1074	#123	—	10	1	no	—
1075	#123	—	10	1	no	—
1076	#123	—	10	1	no	—
1077	#123	—	10	1	no	—
1078	#123	—	10	1	no	—
1079	#123	—	10	1	no	—
1080	#123	—	10	1	no	—
1081	C₂²⋊Q₈	—	2	1	no	—
1082	C₂²⋊Q₈	—	5	1	no	—
1083	C₂²⋊Q₈	—	5	1	no	—
1084	C₂²⋊Q₈	—	5	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	—	5	1	no	—
1093	#121	—	5	1	no	—
1094	#121	C₂²×D₅	1	1	yes	characteristic
1095	#120	—	10	1	no	—
1096	#120	—	10	1	no	—
1097	C₄×Q₈	—	5	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	—	10	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	—	10	1	no	—
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×D₄	—	2	1	no	—
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	—	10	1	no	—
1164	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1165	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1166	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1167	#117	—	2	1	no	—
1168	#117	—	5	1	no	—
1169	#117	—	5	1	no	—
1170	#117	—	5	1	no	—
1171	#117	—	5	1	no	—
1172	#117	—	5	1	no	—
1173	#117	—	5	1	no	—
1174	#117	—	5	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	#117	—	10	1	no	—
1189	#117	—	10	1	no	—
1190	#117	—	10	1	no	—
1191	#117	—	10	1	no	—
1192	#117	C₂²×D₅	1	1	yes	characteristic
1193	C₂×C₄⋊C₄	—	2	1	no	—
1194	C₂×C₄⋊C₄	—	5	1	no	—
1195	C₂×C₄⋊C₄	—	5	1	no	—
1196	C₂×C₄⋊C₄	—	10	1	no	—
1197	C₂×C₄⋊C₄	—	10	1	no	—
1198	C₂×C₄⋊C₄	—	10	1	no	—
1199	C₂×C₄⋊C₄	—	10	1	no	—
1200	C₂×C₄⋊C₄	—	10	1	no	—
1201	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1202	C₂×C₂²⋊C₄	—	10	1	no	—
1203	C₂×C₂²⋊C₄	—	10	1	no	—
1204	C₂×C₂²⋊C₄	—	10	1	no	—
1205	C₂×C₂²⋊C₄	—	10	1	no	—
1206	C₂×C₄²	—	5	1	no	—
1207	C₂×C₄²	—	5	1	no	—
1208	C₂×C₄²	—	5	1	no	—
1209	C₂×C₄²	—	10	1	no	—
1210	C₂×C₄²	—	10	1	no	—
1211	C₂×C₄²	—	10	1	no	—
1212	C₂×C₄²	—	10	1	no	—
1213	C₂×C₄²	—	10	1	no	—
1214	C₂×C₄²	—	10	1	no	—
1215	#107	—	5	1	no	—
1216	#107	—	5	1	no	—
1217	#107	—	5	1	no	—
1218	#107	—	5	1	no	—
1219	#107	—	5	1	no	—
1220	#107	—	5	1	no	—
1221	#107	—	5	1	no	—
1222	#107	—	5	1	no	—
1223	#106	—	5	1	no	—
1224	#106	—	5	1	no	—
1225	#106	—	5	1	no	—
1226	#106	—	5	1	no	—
1227	#106	C₂²×D₅	1	1	yes	characteristic
1228	#106	C₂²×D₅	1	1	yes	characteristic
1229	#106	C₂²×D₅	1	1	yes	characteristic
1230	#106	C₂²×D₅	1	1	yes	characteristic
1231	C₄⋊C₈	—	5	1	no	—
1232	C₄⋊C₈	—	5	1	no	—
1233	C₄⋊C₈	—	5	1	no	—
1234	C₄⋊C₈	—	5	1	no	—
1235	C₄⋊C₈	—	5	1	no	—
1236	C₄⋊C₈	—	5	1	no	—
1237	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1238	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
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	—	5	1	no	—
1253	#103	—	5	1	no	—
1254	#103	—	5	1	no	—
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	#103	C₂²×D₅	1	1	yes	characteristic
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	—	5	1	no	—
1265	#102	—	5	1	no	—
1266	#102	—	5	1	no	—
1267	#102	C₂²×D₅	1	1	yes	characteristic
1268	#102	C₂²×D₅	1	1	yes	characteristic
1269	#102	C₂²×D₅	1	1	yes	characteristic
1270	#102	C₂²×D₅	1	1	yes	characteristic
1271	C₂²⋊C₈	—	5	1	no	—
1272	C₂²⋊C₈	—	5	1	no	—
1273	C₂²⋊C₈	—	5	1	no	—
1274	C₂²⋊C₈	—	5	1	no	—
1275	C₂²⋊C₈	—	5	1	no	—
1276	C₂²⋊C₈	—	5	1	no	—
1277	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1278	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1279	#97	—	5	1	no	—
1280	#97	—	5	1	no	—
1281	#97	—	5	1	no	—
1282	#97	C₂²×D₅	1	1	yes	characteristic
1283	C₄×C₈	—	5	1	no	—
1284	C₄×C₈	—	5	1	no	—
1285	C₄×C₈	—	5	1	no	—
1286	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
1287	C₂²×C₅	—	2	1	no	—
1288	C₂²×C₅	—	2	1	no	—
1289	C₂²×C₅	—	2	1	no	—
1290	C₂²×C₅	—	2	2	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	—	4	1	no	—
1303	C₂×D₅	—	4	1	no	—
1304	C₂×D₅	—	4	1	no	—
1305	C₂×D₅	—	16	2	no	—
1306	C₂×D₅	#525	1	2	yes	—
1307	C₄×C₅	—	2	1	no	—
1308	C₄×C₅	—	2	1	no	—
1309	C₄×C₅	—	2	1	no	—
1310	C₄×C₅	—	2	1	no	—
1311	C₄×C₅	—	2	1	no	—
1312	C₄×C₅	—	2	2	no	—
1313	C₄×C₅	—	4	1	no	—
1314	C₄×C₅	—	4	1	no	—
1315	C₄×C₅	—	4	1	no	—
1316	C₄×C₅	—	4	1	no	—
1317	C₄×C₅	—	4	1	no	—
1318	C₄×C₅	C₂²×#41	1	1	yes	characteristic
1319	C₄×C₅	C₂²×#41	1	1	yes	characteristic
1320	Dic₅	—	2	1	no	—
1321	Dic₅	—	2	1	no	—
1322	Dic₅	—	2	1	no	—
1323	Dic₅	—	2	1	no	—
1324	Dic₅	—	2	1	no	—
1325	Dic₅	—	2	2	no	—
1326	Dic₅	—	2	2	no	—
1327	Dic₅	—	4	1	no	—
1328	Dic₅	—	4	1	no	—
1329	Dic₅	—	4	1	no	—
1330	Dic₅	—	4	1	no	—
1331	Dic₅	—	4	1	no	—
1332	Dic₅	#525	1	2	yes	—
1333	C₂⁴	—	10	1	no	—
1334	#41	—	2	2	no	—
1335	#41	—	2	2	no	—
1336	#41	—	5	4	no	—
1337	#41	—	10	2	no	—
1338	#41	—	10	2	no	—
1339	#41	—	10	8	no	—
1340	#41	—	10	2	no	—
1341	#41	—	10	2	no	—
1342	#41	—	10	8	no	—
1343	#41	—	10	8	no	—
1344	#41	—	10	2	no	—
1345	C₂×Q₈	—	2	1	no	—
1346	C₂×Q₈	—	5	1	no	—
1347	C₂×Q₈	—	5	4	no	—
1348	C₂×Q₈	—	5	1	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	—	10	1	no	—
1354	C₂×Q₈	—	10	2	no	—
1355	C₂×Q₈	—	10	2	no	—
1356	C₂×Q₈	—	10	8	no	—
1357	C₂×Q₈	—	10	2	no	—
1358	C₂×Q₈	—	10	2	no	—
1359	C₂×Q₈	—	10	2	no	—
1360	C₂×Q₈	—	10	2	no	—
1361	C₂×Q₈	—	10	2	no	—
1362	C₂×Q₈	—	10	1	no	—
1363	C₂×Q₈	—	10	1	no	—
1364	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1365	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1366	C₂×D₄	—	2	1	no	—
1367	C₂×D₄	—	2	1	no	—
1368	C₂×D₄	—	5	1	no	—
1369	C₂×D₄	—	5	1	no	—
1370	C₂×D₄	—	5	1	no	—
1371	C₂×D₄	—	5	1	no	—
1372	C₂×D₄	—	10	1	no	—
1373	C₂×D₄	—	10	2	no	—
1374	C₂×D₄	—	10	2	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	C₂³×D₅	1	1	yes	characteristic
1381	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1382	C₂²×C₄	—	2	1	no	—
1383	C₂²×C₄	—	2	1	no	—
1384	C₂²×C₄	—	2	1	no	—
1385	C₂²×C₄	—	2	1	no	—
1386	C₂²×C₄	—	2	1	no	—
1387	C₂²×C₄	—	5	1	no	—
1388	C₂²×C₄	—	5	1	no	—
1389	C₂²×C₄	—	5	1	no	—
1390	C₂²×C₄	—	5	1	no	—
1391	C₂²×C₄	—	5	1	no	—
1392	C₂²×C₄	—	5	1	no	—
1393	C₂²×C₄	—	5	1	no	—
1394	C₂²×C₄	—	5	1	no	—
1395	C₂²×C₄	—	10	1	no	—
1396	C₂²×C₄	—	10	1	no	—
1397	C₂²×C₄	—	10	1	no	—
1398	C₂²×C₄	—	10	1	no	—
1399	C₂²×C₄	—	10	1	no	—
1400	C₂²×C₄	—	10	1	no	—
1401	C₂²×C₄	—	10	1	no	—
1402	C₂²×C₄	—	10	1	no	—
1403	C₂²×C₄	—	10	1	no	—
1404	C₂²×C₄	—	10	1	no	—
1405	C₂²×C₄	—	10	1	no	—
1406	C₂²×C₄	—	10	1	no	—
1407	C₂²×C₄	—	10	1	no	—
1408	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1409	Q₁₆	—	2	2	no	—
1410	Q₁₆	—	10	2	no	—
1411	Q₁₆	—	10	2	no	—
1412	Q₁₆	—	10	2	no	—
1413	Q₁₆	—	10	2	no	—
1414	Q₁₆	—	10	2	no	—
1415	SD₁₆	—	2	2	no	—
1416	SD₁₆	—	2	2	no	—
1417	SD₁₆	—	10	2	no	—
1418	SD₁₆	—	10	2	no	—
1419	SD₁₆	—	10	2	no	—
1420	SD₁₆	—	10	2	no	—
1421	SD₁₆	—	10	2	no	—
1422	SD₁₆	—	10	2	no	—
1423	D₈	—	2	2	no	—
1424	D₈	—	10	2	no	—
1425	M₁₆	—	10	2	no	—
1426	M₁₆	—	10	2	no	—
1427	C₂×C₈	—	5	1	no	—
1428	C₂×C₈	—	5	1	no	—
1429	C₂×C₈	—	5	1	no	—
1430	C₂×C₈	—	5	1	no	—
1431	C₂×C₈	—	10	2	no	—
1432	C₂×C₈	—	10	2	no	—
1433	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1434	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1435	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1436	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1437	C₄⋊C₄	—	2	1	no	—
1438	C₄⋊C₄	—	2	1	no	—
1439	C₄⋊C₄	—	2	1	no	—
1440	C₄⋊C₄	—	2	1	no	—
1441	C₄⋊C₄	—	2	1	no	—
1442	C₄⋊C₄	—	2	1	no	—
1443	C₄⋊C₄	—	5	1	no	—
1444	C₄⋊C₄	—	5	1	no	—
1445	C₄⋊C₄	—	5	1	no	—
1446	C₄⋊C₄	—	5	1	no	—
1447	C₄⋊C₄	—	5	1	no	—
1448	C₄⋊C₄	—	5	1	no	—
1449	C₄⋊C₄	—	5	1	no	—
1450	C₄⋊C₄	—	5	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	D₄×D₅	1	1	yes	characteristic
1475	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1476	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1477	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1478	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1479	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1480	C₂²⋊C₄	—	2	1	no	—
1481	C₂²⋊C₄	—	2	1	no	—
1482	C₂²⋊C₄	—	2	1	no	—
1483	C₂²⋊C₄	—	2	1	no	—
1484	C₂²⋊C₄	—	2	1	no	—
1485	C₂²⋊C₄	—	2	1	no	—
1486	C₂²⋊C₄	—	2	1	no	—
1487	C₂²⋊C₄	—	5	1	no	—
1488	C₂²⋊C₄	—	5	1	no	—
1489	C₂²⋊C₄	—	5	1	no	—
1490	C₂²⋊C₄	—	5	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	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	D₄×D₅	1	1	yes	characteristic
1514	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1515	C₄²	—	2	1	no	—
1516	C₄²	—	2	1	no	—
1517	C₄²	—	2	1	no	—
1518	C₄²	—	5	1	no	—
1519	C₄²	—	5	1	no	—
1520	C₄²	—	5	1	no	—
1521	C₄²	—	5	1	no	—
1522	C₄²	—	5	1	no	—
1523	C₄²	—	5	1	no	—
1524	C₄²	—	5	1	no	—
1525	C₄²	—	5	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	—	10	1	no	—
1535	C₄²	—	10	1	no	—
1536	C₄²	—	10	1	no	—
1537	C₄²	—	10	1	no	—
1538	C₄²	—	10	1	no	—
1539	C₄²	—	10	1	no	—
1540	C₄²	—	10	1	no	—
1541	C₄²	—	10	1	no	—
1542	C₄²	—	10	1	no	—
1543	C₄²	—	10	1	no	—
1544	C₄²	C₂³×D₅	1	1	yes	characteristic
1545	C₄²	C₂³×D₅	1	1	yes	characteristic
1546	C₂×C₅	—	4	1	no	—
1547	C₂×C₅	—	4	2	no	—
1548	C₂×C₅	—	8	1	no	—
1549	C₂×C₅	C₂×#525	1	1	yes	characteristic
1550	C₂×C₅	#3584	1	1	yes	characteristic
1551	C₂×C₅	#3586	1	1	yes	characteristic
1552	D₅	—	2	2	no	—
1553	D₅	—	4	1	no	—
1554	D₅	—	8	1	no	—
1555	C₂³	—	2	1	no	—
1556	C₂³	—	2	1	no	—
1557	C₂³	—	5	1	no	—
1558	C₂³	—	5	1	no	—
1559	C₂³	—	10	1	no	—
1560	C₂³	—	20	2	no	—
1561	C₂³	—	40	1	no	—
1562	C₂³	—	40	1	no	—
1563	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1564	Q₈	—	2	1	no	—
1565	Q₈	—	2	1	no	—
1566	Q₈	—	2	1	no	—
1567	Q₈	—	5	2	no	—
1568	Q₈	—	5	2	no	—
1569	Q₈	—	8	1	no	—
1570	Q₈	—	10	2	no	—
1571	Q₈	—	10	4	no	—
1572	Q₈	—	10	4	no	—
1573	Q₈	—	10	4	no	—
1574	Q₈	—	10	1	no	—
1575	Q₈	—	10	1	no	—
1576	Q₈	—	10	1	no	—
1577	Q₈	—	10	1	no	—
1578	Q₈	—	20	2	no	—
1579	Q₈	—	40	1	no	—
1580	Q₈	D₅×#41	1	2	yes	—
1581	D₄	—	2	4	no	—
1582	D₄	—	2	1	no	—
1583	D₄	—	2	1	no	—
1584	D₄	—	2	1	no	—
1585	D₄	—	8	1	no	—
1586	D₄	—	10	2	no	—
1587	D₄	—	10	2	no	—
1588	D₄	—	10	2	no	—
1589	D₄	—	10	4	no	—
1590	D₄	—	10	4	no	—
1591	D₄	—	10	1	no	—
1592	D₄	—	10	1	no	—
1593	D₄	—	20	2	no	—
1594	D₄	—	40	1	no	—
1595	D₄	—	40	1	no	—
1596	D₄	—	40	1	no	—
1597	D₄	D₅×#41	1	2	yes	—
1598	C₂×C₄	—	2	4	no	—
1599	C₂×C₄	—	2	1	no	—
1600	C₂×C₄	—	2	1	no	—
1601	C₂×C₄	—	2	1	no	—
1602	C₂×C₄	—	2	1	no	—
1603	C₂×C₄	—	2	1	no	—
1604	C₂×C₄	—	2	1	no	—
1605	C₂×C₄	—	2	1	no	—
1606	C₂×C₄	—	2	1	no	—
1607	C₂×C₄	—	5	1	no	—
1608	C₂×C₄	—	5	2	no	—
1609	C₂×C₄	—	5	2	no	—
1610	C₂×C₄	—	5	1	no	—
1611	C₂×C₄	—	5	1	no	—
1612	C₂×C₄	—	5	1	no	—
1613	C₂×C₄	—	5	1	no	—
1614	C₂×C₄	—	5	1	no	—
1615	C₂×C₄	—	8	1	no	—
1616	C₂×C₄	—	8	1	no	—
1617	C₂×C₄	—	8	1	no	—
1618	C₂×C₄	—	8	1	no	—
1619	C₂×C₄	—	10	4	no	—
1620	C₂×C₄	—	10	4	no	—
1621	C₂×C₄	—	10	4	no	—
1622	C₂×C₄	—	10	4	no	—
1623	C₂×C₄	—	10	4	no	—
1624	C₂×C₄	—	10	1	no	—
1625	C₂×C₄	—	10	1	no	—
1626	C₂×C₄	—	10	1	no	—
1627	C₂×C₄	—	10	1	no	—
1628	C₂×C₄	—	10	1	no	—
1629	C₂×C₄	—	10	1	no	—
1630	C₂×C₄	—	10	1	no	—
1631	C₂×C₄	—	10	1	no	—
1632	C₂×C₄	—	10	1	no	—
1633	C₂×C₄	—	20	1	no	—
1634	C₂×C₄	—	20	1	no	—
1635	C₂×C₄	—	20	1	no	—
1636	C₂×C₄	—	20	1	no	—
1637	C₂×C₄	—	20	2	no	—
1638	C₂×C₄	—	20	1	no	—
1639	C₂×C₄	—	20	1	no	—
1640	C₂×C₄	—	20	2	no	—
1641	C₂×C₄	—	40	1	no	—
1642	C₂×C₄	—	40	1	no	—
1643	C₂×C₄	—	40	1	no	—
1644	C₂×C₄	—	40	1	no	—
1645	C₂×C₄	—	40	1	no	—
1646	C₂×C₄	—	40	1	no	—
1647	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1648	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1649	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1650	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1651	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1652	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1653	C₈	—	2	1	no	—
1654	C₈	—	2	1	no	—
1655	C₈	—	2	1	no	—
1656	C₈	—	2	1	no	—
1657	C₈	—	10	1	no	—
1658	C₈	—	10	1	no	—
1659	C₈	—	10	1	no	—
1660	C₈	—	10	1	no	—
1661	C₅	#60595	1	1	yes	characteristic, complemented, Sylow
1662	C₂²	—	2	1	no	—
1663	C₂²	—	2	2	no	—
1664	C₂²	—	2	1	no	—
1665	C₂²	—	2	1	no	—
1666	C₂²	—	4	1	no	—
1667	C₂²	—	4	1	no	—
1668	C₂²	—	4	1	no	—
1669	C₂²	—	4	1	no	—
1670	C₂²	—	4	1	no	—
1671	C₂²	—	5	2	no	—
1672	C₂²	—	10	1	no	—
1673	C₂²	—	10	1	no	—
1674	C₂²	—	10	1	no	—
1675	C₂²	—	10	1	no	—
1676	C₂²	—	10	1	no	—
1677	C₂²	—	20	1	no	—
1678	C₂²	—	20	1	no	—
1679	C₂²	—	20	1	no	—
1680	C₂²	—	80	2	no	—
1681	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1682	C₄	—	2	1	no	—
1683	C₄	—	2	2	no	—
1684	C₄	—	2	1	no	—
1685	C₄	—	2	1	no	—
1686	C₄	—	2	1	no	—
1687	C₄	—	2	1	no	—
1688	C₄	—	4	1	no	—
1689	C₄	—	4	1	no	—
1690	C₄	—	4	1	no	—
1691	C₄	—	4	1	no	—
1692	C₄	—	4	1	no	—
1693	C₄	—	5	2	no	—
1694	C₄	—	10	1	no	—
1695	C₄	—	10	2	no	—
1696	C₄	—	10	2	no	—
1697	C₄	—	10	1	no	—
1698	C₄	—	10	1	no	—
1699	C₄	—	10	1	no	—
1700	C₄	—	10	1	no	—
1701	C₄	—	20	1	no	—
1702	C₄	—	20	1	no	—
1703	C₄	—	20	1	no	—
1704	C₄	—	20	1	no	—
1705	C₄	—	20	1	no	—
1706	C₄	C₂×D₅×#41	1	1	yes	characteristic
1707	C₄	C₂×D₅×#41	1	1	yes	characteristic
1708	C₂	—	4	1	no	—
1709	C₂	—	4	2	no	—
1710	C₂	—	8	1	no	—
1711	C₂	—	10	2	no	—
1712	C₂	—	20	1	no	—
1713	C₂	—	40	1	no	—
1714	C₂	D₅×#525	1	1	yes	characteristic
1715	C₂	#10619107	1	1	yes	characteristic
1716	C₂	#10619109	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×#3125	C₂
socle	C₂²×C₅	C₂³×D₄
prime radical	#10611817	C₂
hypercenter	#3125	D₅
hypocenter	C₅	#60595
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ #117 ◁ #3125

Complements

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

N	H ≅ G/N	type
1. #10618453	C₂	semidirect
2. #10617788	C₂	semidirect
3. C₅×#3125	C₂	semidirect
4. #10615198	C₂	semidirect
5. #10614300	C₂	semidirect
6. #10613160	C₂	semidirect
7. #10613144	C₂	semidirect
8. #10613058	C₂	semidirect
9. #10613042	C₂	semidirect
10. #10612790	C₂	semidirect
11. #10612780	C₂	semidirect
12. #10612742	C₂	semidirect
13. #10612731	C₂	semidirect
14. D₅×#464	C₂	semidirect
15. #10612303	C₂	semidirect
16. #10612266	C₂	semidirect
17. #10612241	C₂	semidirect
18. #10611961	C₂	semidirect
19. #10611945	C₂	semidirect
21. #10611799	C₂	semidirect
22. #10611601	C₂	semidirect
23. #10611597	C₂	semidirect
24. #10611565	C₂	semidirect
25. #10611562	C₂	semidirect
26. #10611387	C₂	semidirect
27. #10611383	C₂	semidirect
28. #10611380	C₂	semidirect
29. #10611379	C₂	semidirect
30. #10611125	C₂	semidirect
31. #10611106	C₂	semidirect
34. C₅×#520	C₂²	semidirect
35. #41×Dic₅	C₂²	semidirect
59. #65906	C₂²	semidirect
61. C₄×Q₈×D₅	C₂²	semidirect
66. #65880	C₂²	semidirect
71. C₄×#711	C₂²	semidirect
76. #65850	C₂²	semidirect
80. C₂×#4033	C₂²	semidirect
81. C₅×#483	C₂²	semidirect
83. C₅×#476	C₂²	semidirect
84. C₅×#475	C₂²	semidirect
87. C₅×#452	C₂²	semidirect
90. C₅×#441	C₂²	semidirect
92. C₄×C₅×SD₁₆	C₂²	semidirect
93. C₅×#433	C₂²	semidirect
94. #65528	C₂²	semidirect
96. #65475	C₂²	semidirect
98. #65473	C₂²	semidirect
99. #65462	C₂²	semidirect
103. #65453	C₂²	semidirect
108. #65383	C₂²	semidirect
109. #65380	C₂²	semidirect
112. #65339	C₂²	semidirect
113. #65334	C₂²	semidirect
116. #65319	C₂²	semidirect
117. C₄×#689	C₂²	semidirect
118. C₄×#689	C₂²	semidirect
121. #65310	C₂²	semidirect
123. #65307	C₂²	semidirect
127. #65296	C₂²	semidirect
128. #65289	C₂²	semidirect
129. #65259	C₂²	semidirect
131. #65156	C₂²	semidirect
134. #65151	C₂²	semidirect
139. #65146	C₂²	semidirect
140. #65146	C₂²	semidirect
141. #65146	C₂²	semidirect
142. #65146	C₂²	semidirect
143. #65142	C₂²	semidirect
144. #65142	C₂²	semidirect
147. #65140	C₂²	semidirect
148. #65139	C₂²	semidirect
151. #65129	C₂²	semidirect
152. #65129	C₂²	semidirect
156. #65104	C₂²	semidirect
157. #65098	C₂²	semidirect
158. #65097	C₂²	semidirect
166. #65085	C₂²	semidirect
167. #65085	C₂²	semidirect
168. #65079	C₂²	semidirect
169. #65079	C₂²	semidirect
170. #65079	C₂²	semidirect
172. #65072	C₂²	semidirect
182. #65052	C₂²	semidirect
183. #65052	C₂²	semidirect
184. #65047	C₂²	semidirect
187. #65028	C₂²	semidirect
192. #65012	C₂²	semidirect
193. #65008	C₂²	semidirect
194. #65007	C₂²	semidirect
195. #65005	C₂²	semidirect
198. #64994	C₂²	semidirect
199. C₄×Dic₂₀	C₂²	semidirect
202. #64974	C₂²	semidirect
488. #3125	D₅	semidirect
760. #520	C₂×D₅	semidirect
785. #483	C₂×D₅	semidirect
805. #476	C₂×D₅	semidirect
808. #475	C₂×D₅	semidirect
829. #452	C₂×D₅	semidirect
849. #441	C₂×D₅	semidirect
871. C₄×SD₁₆	C₂×D₅	semidirect
877. #433	C₂×D₅	semidirect
1661. C₅	#60595	semidirect

Maximal subgroups

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

subgroup	index
#10618453	2
#10617788	2
C₅×#3125	2
#10615198	2
#10614300	2
#10613160	2
#10613144	2
#10613058	2
#10613042	2
#10612790	2
#10612780	2
#10612742	2
#10612731	2
D₅×#464	2
#10612303	2
#10612266	2
#10612241	2
#10611961	2
#10611945	2
#10611817	2
#10611799	2
#10611601	2
#10611597	2
#10611565	2
#10611562	2
#10611387	2
#10611383	2
#10611380	2
#10611379	2
#10611125	2
#10611106	2
#60595	5