Subgroups — #12985303

Order 1280.

2050 conjugacy classes of subgroups.

The subgroup lattice has 1868 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10619165	C₂	1	1	yes	maximal, characteristic, complemented
2	#10617933	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#3002	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615812	C₂	1	1	yes	maximal, characteristic, complemented
5	#10615656	C₂	1	1	yes	maximal, characteristic, complemented
6	#10615652	C₂	1	1	yes	maximal, characteristic, complemented
7	#10615651	C₂	1	1	yes	maximal, characteristic, complemented
8	#10615650	C₂	1	1	yes	maximal, characteristic, complemented
9	#10614666	C₂	1	1	yes	maximal, characteristic, complemented
10	#10611968	C₂	1	1	yes	maximal, characteristic, complemented
11	#10611961	C₂	1	1	yes	maximal, characteristic, complemented
12	#10611955	C₂	1	1	yes	maximal, characteristic, complemented
13	#10611949	C₂	1	1	yes	maximal, characteristic, complemented
14	#10611940	C₂	1	1	yes	maximal, characteristic, complemented
15	#10611931	C₂	1	1	yes	maximal, characteristic, complemented
16	#10611901	C₂	1	1	yes	maximal, characteristic, complemented
17	#10611893	C₂	1	1	yes	maximal, characteristic, complemented
18	#10611824	C₂	1	1	yes	maximal, characteristic, complemented
19	#10611817	C₂	1	1	yes	maximal, characteristic, complemented
20	#10611811	C₂	1	1	yes	maximal, characteristic, complemented
21	#10611806	C₂	1	1	yes	maximal, characteristic, complemented
22	#10611792	C₂	1	1	yes	maximal, characteristic, complemented
23	#10611787	C₂	1	1	yes	maximal, characteristic, complemented
24	#10611754	C₂	1	1	yes	maximal, characteristic, complemented
25	#10611750	C₂	1	1	yes	maximal, characteristic, complemented
26	#10610591	C₂	1	1	yes	maximal, characteristic, complemented
27	#10610587	C₂	1	1	yes	maximal, characteristic, complemented
28	#10610581	C₂	1	1	yes	maximal, characteristic, complemented
29	#10610580	C₂	1	1	yes	maximal, characteristic, complemented
30	#10610349	C₂	1	1	yes	maximal, characteristic, complemented
31	#10610335	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×C₅×#41	C₂²	1	1	yes	characteristic, complemented
33	C₂×#4150	C₂²	1	1	yes	characteristic
34	C₂×C₅×#135	C₂²	1	1	yes	characteristic
35	C₂×C₅×#135	C₂²	1	1	yes	characteristic
36	C₅×#525	C₂²	1	1	yes	characteristic
37	#66167	—	2	1	no	—
38	#66167	C₂²	1	1	yes	characteristic
39	#66165	C₂²	1	1	yes	characteristic
40	#66165	C₂²	1	1	yes	characteristic, complemented
41	#66165	C₂²	1	1	yes	characteristic, complemented
42	#66163	C₂²	1	1	yes	characteristic, complemented
43	#66161	C₂²	1	1	yes	characteristic, complemented
44	#66159	—	2	1	no	—
45	#66159	C₂²	1	1	yes	characteristic, complemented
46	#66158	—	2	1	no	—
47	#66158	—	2	1	no	—
48	#66158	C₂²	1	1	yes	characteristic
49	#66158	C₂²	1	1	yes	characteristic, complemented
50	Q₈×C₂²⋊D₅	C₂²	1	1	yes	characteristic
51	Q₈×C₂²⋊D₅	C₂²	1	1	yes	characteristic, complemented
52	C₂×#4088	C₂²	1	1	yes	characteristic
53	#66140	—	2	1	no	—
54	#66140	—	2	1	no	—
55	#66140	C₂²	1	1	yes	characteristic
56	#66140	C₂²	1	1	yes	characteristic, complemented
57	C₂×#4078	C₂²	1	1	yes	characteristic
58	#66125	—	2	1	no	—
59	#66125	C₂²	1	1	yes	characteristic
60	#66125	C₂²	1	1	yes	characteristic
61	C₂×#4070	—	2	1	no	—
62	C₂×#4070	C₂²	1	1	yes	characteristic, complemented
63	C₂×D₅×Q₁₆	C₂²	1	1	yes	characteristic, complemented
64	C₂×#4061	C₂²	1	1	yes	characteristic, complemented
65	C₂×D₅×SD₁₆	C₂²	1	1	yes	characteristic, complemented
66	C₂×#4057	C₂²	1	1	yes	characteristic, complemented
67	#65996	—	2	1	no	—
68	#65991	—	2	1	no	—
69	#65977	C₂²	1	1	yes	characteristic, complemented
70	#65975	C₂²	1	1	yes	characteristic
71	#65967	C₂²	1	1	yes	characteristic
72	#65962	C₂²	1	1	yes	characteristic, complemented
73	#65950	C₂²	1	1	yes	characteristic
74	#65946	C₂²	1	1	yes	characteristic
75	#65941	C₂²	1	1	yes	characteristic, complemented
76	#65937	C₂²	1	1	yes	characteristic, complemented
77	#65929	—	2	1	no	—
78	#65928	—	2	1	no	—
79	#65895	—	2	1	no	—
80	#65894	—	2	1	no	—
81	#65893	—	2	1	no	—
82	#65890	—	2	1	no	—
83	#65867	C₂²	1	1	yes	characteristic, complemented
84	#65866	C₂²	1	1	yes	characteristic, complemented
85	C₅×#452	C₂²	1	1	yes	characteristic, complemented
86	C₅×#452	C₂²	1	1	yes	characteristic, complemented
87	C₅×#451	C₂²	1	1	yes	characteristic, complemented
88	C₅×#450	C₂²	1	1	yes	characteristic, complemented
89	C₅×#449	C₂²	1	1	yes	characteristic
90	C₅×#449	C₂²	1	1	yes	characteristic
91	C₅×#448	C₂²	1	1	yes	characteristic
92	C₅×#447	C₂²	1	1	yes	characteristic
93	C₅×#416	C₂²	1	1	yes	characteristic, complemented
94	C₅×#416	C₂²	1	1	yes	characteristic, complemented
95	C₂×C₅×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
96	#65528	C₂²	1	1	yes	characteristic, complemented
97	#65528	C₂²	1	1	yes	characteristic, complemented
98	#65528	C₂²	1	1	yes	characteristic, complemented
99	#65528	C₂²	1	1	yes	characteristic, complemented
100	#65528	C₂²	1	1	yes	characteristic, complemented
101	#65528	C₂²	1	1	yes	characteristic, complemented
102	#65527	C₂²	1	1	yes	characteristic
103	#65527	C₂²	1	1	yes	characteristic
104	#65527	C₂²	1	1	yes	characteristic
105	#65527	C₂²	1	1	yes	characteristic
106	#65514	C₂²	1	1	yes	characteristic, complemented
107	#65504	C₂²	1	1	yes	characteristic, complemented
108	#65496	C₂²	1	1	yes	characteristic, complemented
109	#65479	C₂²	1	1	yes	characteristic, complemented
110	#65478	C₂²	1	1	yes	characteristic, complemented
111	#65475	C₂²	1	1	yes	characteristic, complemented
112	#65475	C₂²	1	1	yes	characteristic, complemented
113	#65474	C₂²	1	1	yes	characteristic, complemented
114	Q₁₆×Dic₅	C₂²	1	1	yes	characteristic, complemented
115	#65471	C₂²	1	1	yes	characteristic, complemented
116	#65463	C₂²	1	1	yes	characteristic, complemented
117	#65462	C₂²	1	1	yes	characteristic, complemented
118	#65460	C₂²	1	1	yes	characteristic, complemented
119	#65459	C₂²	1	1	yes	characteristic, complemented
120	#65459	C₂²	1	1	yes	characteristic, complemented
121	#65458	C₂²	1	1	yes	characteristic, complemented
122	#65457	C₂²	1	1	yes	characteristic, complemented
123	#65456	C₂²	1	1	yes	characteristic, complemented
124	#65455	C₂²	1	1	yes	characteristic, complemented
125	#65455	C₂²	1	1	yes	characteristic, complemented
126	#65454	C₂²	1	1	yes	characteristic, complemented
127	#65453	C₂²	1	1	yes	characteristic, complemented
128	#65451	C₂²	1	1	yes	characteristic, complemented
129	SD₁₆×Dic₅	C₂²	1	1	yes	characteristic, complemented
130	#65447	C₂²	1	1	yes	characteristic, complemented
131	#65446	C₂²	1	1	yes	characteristic, complemented
132	#65445	C₂²	1	1	yes	characteristic, complemented
133	#65444	C₂²	1	1	yes	characteristic, complemented
134	#65442	C₂²	1	1	yes	characteristic, complemented
135	#65442	C₂²	1	1	yes	characteristic, complemented
136	#65441	C₂²	1	1	yes	characteristic, complemented
137	#65405	C₂²	1	1	yes	characteristic, complemented
138	#65405	C₂²	1	1	yes	characteristic, complemented
139	#65403	C₂²	1	1	yes	characteristic, complemented
140	#65403	C₂²	1	1	yes	characteristic, complemented
141	#65400	C₂²	1	1	yes	characteristic, complemented
142	#65400	C₂²	1	1	yes	characteristic, complemented
143	C₈×C₂²⋊D₅	C₂²	1	1	yes	characteristic, complemented
144	C₈×C₂²⋊D₅	C₂²	1	1	yes	characteristic, complemented
145	#65341	C₂²	1	1	yes	characteristic, complemented
146	#65341	C₂²	1	1	yes	characteristic, complemented
147	#65339	C₂²	1	1	yes	characteristic, complemented
148	#65333	C₂²	1	1	yes	characteristic, complemented
149	#65331	C₂²	1	1	yes	characteristic
150	#65331	C₂²	1	1	yes	characteristic
151	#65329	C₂²	1	1	yes	characteristic, complemented
152	#65323	C₂²	1	1	yes	characteristic, complemented
153	#65285	C₂²	1	1	yes	characteristic, complemented
154	#65285	C₂²	1	1	yes	characteristic, complemented
155	#65107	C₂²	1	1	yes	characteristic, complemented
156	#65106	C₂²	1	1	yes	characteristic, complemented
157	#65104	C₂²	1	1	yes	characteristic, complemented
158	#65103	C₂²	1	1	yes	characteristic, complemented
159	#65102	C₂²	1	1	yes	characteristic, complemented
160	#65097	C₂²	1	1	yes	characteristic, complemented
161	#65096	C₂²	1	1	yes	characteristic, complemented
162	#65095	C₂²	1	1	yes	characteristic, complemented
163	#65091	C₂²	1	1	yes	characteristic, complemented
164	#65091	C₂²	1	1	yes	characteristic, complemented
165	#65083	C₂²	1	1	yes	characteristic, complemented
166	#65082	C₂²	1	1	yes	characteristic, complemented
167	#65081	C₂²	1	1	yes	characteristic, complemented
168	#65081	C₂²	1	1	yes	characteristic, complemented
169	#65080	C₂²	1	1	yes	characteristic, complemented
170	#65078	C₂²	1	1	yes	characteristic, complemented
171	#65076	C₂²	1	1	yes	characteristic, complemented
172	#65073	C₂²	1	1	yes	characteristic, complemented
173	#65072	C₂²	1	1	yes	characteristic, complemented
174	#65071	C₂²	1	1	yes	characteristic, complemented
175	#65070	C₂²	1	1	yes	characteristic, complemented
176	#65069	C₂²	1	1	yes	characteristic, complemented
177	#65068	C₂²	1	1	yes	characteristic, complemented
178	#65061	C₂²	1	1	yes	characteristic, complemented
179	#65061	C₂²	1	1	yes	characteristic, complemented
180	#65056	C₂²	1	1	yes	characteristic, complemented
181	#65054	C₂²	1	1	yes	characteristic, complemented
182	#65054	C₂²	1	1	yes	characteristic, complemented
183	#65050	C₂²	1	1	yes	characteristic, complemented
184	#65048	C₂²	1	1	yes	characteristic, complemented
185	#65047	C₂²	1	1	yes	characteristic, complemented
186	#65045	C₂²	1	1	yes	characteristic, complemented
187	#65028	C₂²	1	1	yes	characteristic, complemented
188	#65027	C₂²	1	1	yes	characteristic, complemented
189	#65025	C₂²	1	1	yes	characteristic, complemented
190	#65022	C₂²	1	1	yes	characteristic
191	#65022	C₂²	1	1	yes	characteristic
192	#65018	C₂²	1	1	yes	characteristic
193	#65018	C₂²	1	1	yes	characteristic, complemented
194	#65017	C₂²	1	1	yes	characteristic
195	#65017	C₂²	1	1	yes	characteristic, complemented
196	#65016	C₂²	1	1	yes	characteristic, complemented
197	#65016	C₂²	1	1	yes	characteristic, complemented
198	#65012	C₂²	1	1	yes	characteristic, complemented
199	#65012	C₂²	1	1	yes	characteristic, complemented
200	#65010	C₂²	1	1	yes	characteristic, complemented
201	#65009	C₂²	1	1	yes	characteristic, complemented
202	#65009	C₂²	1	1	yes	characteristic, complemented
203	#61627	—	5	1	no	maximal, Sylow
204	C₂×C₅×#41	—	2	1	no	—
205	C₂×C₅×#41	—	2	1	no	—
206	C₂×C₅×#41	—	4	2	no	—
207	C₂×C₅×#41	—	4	2	no	—
208	C₂×C₅×#41	C₂³	1	1	yes	characteristic
209	C₂×C₅×#41	C₂³	1	1	yes	characteristic
210	C₂×C₅×#41	C₂³	1	1	yes	characteristic
211	C₂×C₅×#41	C₂³	1	1	yes	characteristic
212	C₂×C₅×#41	C₂³	1	1	yes	characteristic
213	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
214	C₂²×C₅×D₄	—	2	1	no	—
215	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
216	C₂³×C₄×C₅	—	2	1	no	—
217	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
218	#4150	—	4	2	no	—
219	#4150	—	4	2	no	—
220	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
221	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
222	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
223	C₂×#711	—	2	1	no	—
224	C₂×#711	—	2	1	no	—
225	C₂×#711	C₂³	1	1	yes	characteristic
226	C₂×#711	C₂³	1	1	yes	characteristic
227	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
228	C₂×#709	—	2	1	no	—
229	C₂×#709	C₂³	1	1	yes	characteristic
230	C₂×#709	C₂³	1	1	yes	characteristic
231	C₂²×Dic₁₀	—	2	1	no	—
232	C₂²×Dic₁₀	C₂³	1	1	yes	characteristic
233	C₅×#135	—	4	2	no	—
234	C₅×#135	—	4	2	no	—
235	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
236	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
237	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
238	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
239	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
240	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
241	C₂×C₅×D₈	C₂³	1	1	yes	characteristic
242	C₂×C₅×D₈	C₂³	1	1	yes	characteristic
243	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
244	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
245	C₅×#123	—	2	1	no	—
246	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
247	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
248	C₅×#121	C₂³	1	1	yes	characteristic
249	C₅×#121	C₂³	1	1	yes	characteristic
250	C₅×#120	—	2	1	no	—
251	C₄×C₅×D₄	—	2	1	no	—
252	C₄×C₅×D₄	—	2	1	no	—
253	C₅×#117	C₂³	1	1	yes	characteristic
254	#4099	—	2	1	no	—
255	#4099	—	2	1	no	—
256	#4099	—	2	1	no	—
257	#4099	D₄	1	1	yes	characteristic
258	#4099	D₄	1	1	yes	characteristic
259	C₂×C₂²⋊Dic₅	—	2	1	no	—
260	C₂×C₂²⋊Dic₅	—	2	1	no	—
261	C₂×C₂²⋊Dic₅	—	2	1	no	—
262	#4093	C₂³	1	1	yes	characteristic
263	#4092	—	2	1	no	—
264	#4092	—	2	1	no	—
265	#4092	C₂³	1	1	yes	characteristic
266	#4092	C₂³	1	1	yes	characteristic
267	#4092	C₂³	1	1	yes	characteristic
268	Q₈×Dic₅	C₂³	1	1	yes	characteristic
269	Q₈×Dic₅	C₂³	1	1	yes	characteristic
270	Q₈×Dic₅	C₂³	1	1	yes	characteristic
271	#4090	—	2	1	no	—
272	#4090	—	2	1	no	—
273	#4090	C₂³	1	1	yes	characteristic
274	#4090	C₂³	1	1	yes	characteristic
275	C₂×#689	C₂³	1	1	yes	characteristic
276	C₂×#689	C₂³	1	1	yes	characteristic
277	C₂×#689	C₂³	1	1	yes	characteristic
278	C₂×#689	C₂³	1	1	yes	characteristic
279	#4088	—	4	2	no	—
280	C₂×#688	C₂³	1	1	yes	characteristic
281	C₂×#688	C₂³	1	1	yes	characteristic
282	#4086	—	2	1	no	—
283	#4085	—	2	1	no	—
284	#4085	—	2	1	no	—
285	#4085	—	2	1	no	—
286	#4085	—	2	1	no	—
287	#4085	—	2	1	no	—
288	#4085	—	2	1	no	—
289	#4085	—	2	1	no	—
290	#4085	—	2	1	no	—
291	#4084	—	2	1	no	—
292	#4084	—	2	1	no	—
293	#4084	—	2	1	no	—
294	#4084	—	2	1	no	—
295	#4084	C₂³	1	1	yes	characteristic
296	#4084	C₂³	1	1	yes	characteristic
297	#4084	C₂³	1	1	yes	characteristic
298	#4083	—	2	1	no	—
299	#4083	—	2	1	no	—
300	#4083	—	2	1	no	—
301	#4082	—	2	1	no	—
302	#4082	—	2	1	no	—
303	#4082	—	2	1	no	—
304	#4082	—	2	1	no	—
305	#4082	—	2	1	no	—
306	#4082	C₂³	1	1	yes	characteristic
307	#4082	C₂³	1	1	yes	characteristic
308	#4082	C₂³	1	1	yes	characteristic
309	#4081	—	2	1	no	—
310	#4081	—	2	1	no	—
311	#4081	—	2	1	no	—
312	#4081	—	2	1	no	—
313	#4081	—	2	1	no	—
314	#4081	—	2	1	no	—
315	#4081	—	2	1	no	—
316	D₄×Dic₅	—	2	1	no	—
317	D₄×Dic₅	—	2	1	no	—
318	D₄×Dic₅	C₂³	1	1	yes	characteristic
319	D₄×Dic₅	C₂³	1	1	yes	characteristic
320	D₄×Dic₅	C₂³	1	1	yes	characteristic
321	C₂×#687	C₂³	1	1	yes	characteristic
322	C₂×#687	C₂³	1	1	yes	characteristic
323	C₂×#687	C₂³	1	1	yes	characteristic
324	C₂×#687	C₂³	1	1	yes	characteristic
325	#4078	—	4	2	no	—
326	C₂×#686	C₂³	1	1	yes	characteristic
327	C₂×#686	C₂³	1	1	yes	characteristic
328	#4076	—	2	1	no	—
329	#4076	D₄	1	1	yes	characteristic
330	#4076	D₄	1	1	yes	characteristic
331	#4076	C₂³	1	1	yes	characteristic
332	#4076	C₂³	1	1	yes	characteristic
333	#4075	—	2	1	no	—
334	#4075	—	2	1	no	—
335	#4075	—	2	1	no	—
336	#4075	—	2	1	no	—
337	#4075	D₄	1	1	yes	characteristic
338	#4075	D₄	1	1	yes	characteristic
339	C₄×C₂²⋊D₅	—	2	1	no	—
340	C₄×C₂²⋊D₅	—	2	1	no	—
341	C₄×C₂²⋊D₅	—	2	1	no	—
342	C₄×C₂²⋊D₅	—	2	1	no	—
343	C₄×C₂²⋊D₅	—	2	1	no	—
344	C₄×C₂²⋊D₅	—	2	1	no	—
345	C₄×C₂²⋊D₅	—	2	1	no	—
346	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
347	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
348	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
349	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
350	C₂×#685	—	2	1	no	—
351	#4072	—	2	1	no	—
352	#4072	C₂³	1	1	yes	characteristic
353	#4072	C₂³	1	1	yes	characteristic
354	C₂×C₄⋊Dic₅	—	2	1	no	—
355	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
356	#4070	—	2	1	no	—
357	#4070	—	2	1	no	—
358	#4070	—	2	1	no	—
359	#4070	—	2	1	no	—
360	#4070	—	2	1	no	—
361	#4070	—	2	1	no	—
362	#4070	—	2	1	no	—
363	#4070	—	2	1	no	—
364	#4070	—	2	1	no	—
365	#4070	—	2	1	no	—
366	#4070	D₄	1	1	yes	characteristic
367	#4070	D₄	1	1	yes	characteristic
368	#4070	C₂³	1	1	yes	characteristic
369	#4070	C₂³	1	1	yes	characteristic
370	#4070	C₂³	1	1	yes	characteristic
371	#4070	C₂³	1	1	yes	characteristic
372	#4070	C₂³	1	1	yes	characteristic
373	#4070	C₂³	1	1	yes	characteristic
374	C₂×#683	—	2	1	no	—
375	C₂×#683	—	2	1	no	—
376	C₂×#683	—	2	1	no	—
377	C₂×#681	C₂³	1	1	yes	characteristic
378	C₂×#681	C₂³	1	1	yes	characteristic
379	D₅×Q₁₆	—	4	2	no	—
380	#4061	—	4	2	no	—
381	D₅×SD₁₆	—	4	2	no	—
382	#4057	—	4	2	no	—
383	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
384	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
385	C₂×#677	C₂³	1	1	yes	characteristic
386	C₂×#677	C₂³	1	1	yes	characteristic
387	C₂×#676	C₂³	1	1	yes	characteristic
388	C₂×#676	C₂³	1	1	yes	characteristic
389	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
390	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
391	#4044	—	2	1	no	—
392	#4044	—	2	1	no	—
393	#4043	—	2	1	no	—
394	#4043	C₂³	1	1	yes	characteristic
395	#4042	—	2	1	no	—
396	#4041	C₂³	1	1	yes	characteristic
397	#4040	—	2	1	no	—
398	#4039	—	2	1	no	—
399	#4039	C₂³	1	1	yes	characteristic
400	#4038	C₂³	1	1	yes	characteristic
401	#4038	C₂³	1	1	yes	characteristic
402	#4034	—	2	1	no	—
403	#4034	C₂³	1	1	yes	characteristic
404	#4034	C₂³	1	1	yes	characteristic
405	#4033	—	2	1	no	—
406	#4033	C₂³	1	1	yes	characteristic
407	#4031	—	2	1	no	—
408	#4031	—	2	1	no	—
409	#4031	—	2	1	no	—
410	#4031	—	2	1	no	—
411	#4031	—	2	1	no	—
412	#4031	—	2	1	no	—
413	#4031	—	2	1	no	—
414	#4031	—	2	1	no	—
415	#4030	—	2	1	no	—
416	#4030	—	2	1	no	—
417	#4029	—	2	1	no	—
418	#4029	—	2	1	no	—
419	#4029	—	2	1	no	—
420	#4028	—	2	1	no	—
421	D₅×C₂²⋊C₄	—	2	1	no	—
422	#4025	—	2	1	no	—
423	#4025	—	2	1	no	—
424	#4025	—	2	1	no	—
425	#4024	—	2	1	no	—
426	#4023	—	2	1	no	—
427	#4022	—	2	1	no	—
428	#4021	—	2	1	no	—
429	#4018	—	2	1	no	—
430	C₄×Dic₁₀	—	2	1	no	—
431	C₅×#103	C₂³	1	1	yes	characteristic
432	C₅×#103	C₂³	1	1	yes	characteristic
433	C₅×#103	C₂³	1	1	yes	characteristic
434	C₅×#103	C₂³	1	1	yes	characteristic
435	C₅×#102	C₂³	1	1	yes	characteristic
436	C₅×#102	C₂³	1	1	yes	characteristic
437	C₅×#102	C₂³	1	1	yes	characteristic
438	C₅×#102	C₂³	1	1	yes	characteristic
439	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
440	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
441	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
442	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
443	#3967	C₂³	1	1	yes	characteristic
444	#3967	C₂³	1	1	yes	characteristic
445	#3967	C₂³	1	1	yes	characteristic
446	#3967	C₂³	1	1	yes	characteristic
447	#3967	C₂³	1	1	yes	characteristic
448	#3967	C₂³	1	1	yes	characteristic
449	#3964	C₂³	1	1	yes	characteristic
450	#3964	C₂³	1	1	yes	characteristic
451	#3964	C₂³	1	1	yes	characteristic
452	#3964	C₂³	1	1	yes	characteristic
453	#3964	C₂³	1	1	yes	characteristic
454	#3964	C₂³	1	1	yes	characteristic
455	C₂²⋊#168	C₂³	1	1	yes	characteristic
456	C₂²⋊#168	C₂³	1	1	yes	characteristic
457	C₂²⋊#168	C₂³	1	1	yes	characteristic
458	C₂²⋊#168	C₂³	1	1	yes	characteristic
459	#3953	C₂³	1	1	yes	characteristic
460	#3953	C₂³	1	1	yes	characteristic
461	#3952	C₂³	1	1	yes	characteristic
462	#3952	C₂³	1	1	yes	characteristic
463	#3952	C₂³	1	1	yes	characteristic
464	#3952	C₂³	1	1	yes	characteristic
465	#3950	C₂³	1	1	yes	characteristic
466	#3950	C₂³	1	1	yes	characteristic
467	#3949	C₂³	1	1	yes	characteristic
468	#3949	C₂³	1	1	yes	characteristic
469	#3948	C₂³	1	1	yes	characteristic
470	#3948	C₂³	1	1	yes	characteristic
471	#3948	C₂³	1	1	yes	characteristic
472	#3948	C₂³	1	1	yes	characteristic
473	#3948	C₂³	1	1	yes	characteristic
474	#3948	C₂³	1	1	yes	characteristic
475	#3947	C₂³	1	1	yes	characteristic
476	#3947	C₂³	1	1	yes	characteristic
477	#3946	C₂³	1	1	yes	characteristic
478	#3946	C₂³	1	1	yes	characteristic
479	#3946	C₂³	1	1	yes	characteristic
480	#3946	C₂³	1	1	yes	characteristic
481	C₈×Dic₅	C₂³	1	1	yes	characteristic
482	C₈×Dic₅	C₂³	1	1	yes	characteristic
483	#3942	C₂³	1	1	yes	characteristic
484	#3942	C₂³	1	1	yes	characteristic
485	#3942	C₂³	1	1	yes	characteristic
486	#3942	C₂³	1	1	yes	characteristic
487	#3940	C₂³	1	1	yes	characteristic
488	#3940	C₂³	1	1	yes	characteristic
489	#3939	C₂³	1	1	yes	characteristic
490	#3939	C₂³	1	1	yes	characteristic
491	#3540	—	5	1	no	—
492	#3489	—	5	1	no	—
493	#3329	—	5	1	no	—
494	#3328	—	5	1	no	—
495	#3321	—	5	1	no	—
496	#3319	—	5	1	no	—
497	#3313	—	5	1	no	—
498	#3311	—	5	1	no	—
499	#3303	—	5	1	no	—
500	#3302	—	5	1	no	—
501	#3285	—	5	1	no	—
502	#3282	—	5	1	no	—
503	#3275	—	5	1	no	—
504	#3273	—	5	1	no	—
505	#3270	—	5	1	no	—
506	#3269	—	5	1	no	—
507	#3267	—	5	1	no	—
508	#3266	—	5	1	no	—
509	#3225	—	5	1	no	—
510	#3225	—	5	1	no	—
511	#3201	—	5	1	no	—
512	#3198	—	5	1	no	—
513	#3196	—	5	1	no	—
514	#3190	—	5	1	no	—
515	#3125	—	5	1	no	—
516	#3124	—	5	1	no	—
517	#3011	—	5	1	no	—
518	#3010	—	5	1	no	—
519	#3005	—	5	1	no	—
520	#3002	D₅	1	1	yes	characteristic, complemented
521	#2976	—	5	1	no	—
522	C₂⁴×C₅	—	2	1	no	—
523	C₂⁴×C₅	C₂×D₄	1	1	yes	characteristic
524	C₂³×D₅	—	2	1	no	—
525	C₅×#41	—	2	2	no	—
526	C₅×#41	—	2	2	no	—
527	C₅×#41	—	2	2	no	—
528	C₅×#41	—	2	2	no	—
529	C₅×#41	—	4	1	no	—
530	C₅×#41	—	4	1	no	—
531	C₅×#41	—	4	1	no	—
532	C₅×#41	—	4	1	no	—
533	C₅×#41	—	4	4	no	—
534	C₅×#41	—	4	1	no	—
535	C₅×#41	—	4	1	no	—
536	C₅×#41	—	4	4	no	—
537	C₂×C₅×Q₈	—	2	1	no	—
538	C₂×C₅×Q₈	—	2	2	no	—
539	C₂×C₅×Q₈	—	4	1	no	—
540	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
541	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
542	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
543	C₂×C₅×D₄	—	2	1	no	—
544	C₂×C₅×D₄	—	2	2	no	—
545	C₂×C₅×D₄	—	2	1	no	—
546	C₂×C₅×D₄	—	2	1	no	—
547	C₂×C₅×D₄	—	2	1	no	—
548	C₂×C₅×D₄	—	2	1	no	—
549	C₂×C₅×D₄	—	2	1	no	—
550	C₂×C₅×D₄	—	2	1	no	—
551	C₂×C₅×D₄	—	2	1	no	—
552	C₂×C₅×D₄	—	4	1	no	—
553	C₂×C₅×D₄	—	4	4	no	—
554	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
555	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
556	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
557	C₂²×C₄×C₅	—	2	1	no	—
558	C₂²×C₄×C₅	—	2	1	no	—
559	C₂²×C₄×C₅	—	2	1	no	—
560	C₂²×C₄×C₅	—	2	1	no	—
561	C₂²×C₄×C₅	—	2	1	no	—
562	C₂²×C₄×C₅	—	2	1	no	—
563	C₂²×C₄×C₅	—	4	1	no	—
564	C₂²×C₄×C₅	—	4	1	no	—
565	C₂²×C₄×C₅	—	4	4	no	—
566	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
567	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
568	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
569	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
570	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
571	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
572	C₂×C₂²⋊D₅	—	2	1	no	—
573	C₂×C₂²⋊D₅	—	2	1	no	—
574	C₂×C₂²⋊D₅	—	2	1	no	—
575	C₂×C₂²⋊D₅	—	2	1	no	—
576	C₂×C₂²⋊D₅	—	2	1	no	—
577	C₂×C₂²⋊D₅	—	2	1	no	—
578	C₂×C₂²⋊D₅	—	2	1	no	—
579	C₂×C₂²⋊D₅	—	2	1	no	—
580	C₂×C₂²⋊D₅	—	2	1	no	—
581	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
582	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
583	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
584	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
585	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
586	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
587	C₂²×Dic₅	—	2	1	no	—
588	C₂²×Dic₅	—	2	1	no	—
589	C₂²×Dic₅	—	2	1	no	—
590	C₂²×Dic₅	—	2	1	no	—
591	C₂²×Dic₅	—	2	1	no	—
592	C₂²×Dic₅	—	2	1	no	—
593	C₂²×Dic₅	—	2	1	no	—
594	Q₈×D₅	—	2	2	no	—
595	Q₈×D₅	—	2	2	no	—
596	Q₈×D₅	—	4	1	no	—
597	Q₈×D₅	—	4	1	no	—
598	Q₈×D₅	—	4	1	no	—
599	Q₈×D₅	—	4	1	no	—
600	#711	—	2	2	no	—
601	#711	—	2	2	no	—
602	#711	—	4	1	no	—
603	#711	—	4	1	no	—
604	#711	—	4	4	no	—
605	#711	—	4	4	no	—
606	D₄×D₅	—	4	1	no	—
607	D₄×D₅	—	4	1	no	—
608	#709	—	4	1	no	—
609	#709	—	4	1	no	—
610	#709	—	4	1	no	—
611	#709	—	4	1	no	—
612	#709	—	4	4	no	—
613	C₂×D₂₀	—	2	1	no	—
614	C₂×D₂₀	C₂×D₄	1	1	yes	characteristic
615	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
616	C₂×C₄×D₅	—	2	1	no	—
617	C₂×C₄×D₅	—	2	1	no	—
618	C₂×C₄×D₅	—	2	1	no	—
619	C₂×C₄×D₅	—	2	1	no	—
620	C₂×C₄×D₅	—	2	1	no	—
621	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
622	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
623	C₂×Dic₁₀	—	2	1	no	—
624	C₂×Dic₁₀	—	2	1	no	—
625	C₂×Dic₁₀	—	2	1	no	—
626	C₂×Dic₁₀	—	2	1	no	—
627	C₂×Dic₁₀	—	2	1	no	—
628	C₂×Dic₁₀	—	2	1	no	—
629	C₂×Dic₁₀	—	4	1	no	—
630	C₂×Dic₁₀	—	4	1	no	—
631	C₂×Dic₁₀	—	4	4	no	—
632	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
633	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
634	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
635	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
636	C₅×Q₁₆	—	2	2	no	—
637	C₅×Q₁₆	—	4	1	no	—
638	C₅×SD₁₆	—	2	2	no	—
639	C₅×SD₁₆	—	2	2	no	—
640	C₅×SD₁₆	—	4	1	no	—
641	C₅×SD₁₆	—	4	1	no	—
642	C₅×D₈	—	2	2	no	—
643	C₅×D₈	—	4	1	no	—
644	C₂×C₅×C₈	—	4	1	no	—
645	C₂×C₅×C₈	—	4	1	no	—
646	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
647	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
648	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
649	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
650	C₅×C₄⋊C₄	—	2	1	no	—
651	C₅×C₄⋊C₄	—	2	1	no	—
652	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
653	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
654	C₅×C₂²⋊C₄	—	2	1	no	—
655	C₅×C₂²⋊C₄	—	2	1	no	—
656	C₅×C₂²⋊C₄	—	2	1	no	—
657	C₅×C₂²⋊C₄	—	2	1	no	—
658	C₅×C₂²⋊C₄	—	2	1	no	—
659	C₄²×C₅	—	2	1	no	—
660	C₂²⋊Dic₅	—	2	1	no	—
661	C₂²⋊Dic₅	—	2	1	no	—
662	C₂²⋊Dic₅	—	2	1	no	—
663	C₂²⋊Dic₅	—	2	1	no	—
664	C₂²⋊Dic₅	—	2	1	no	—
665	C₂²⋊Dic₅	—	2	1	no	—
666	C₂²⋊Dic₅	—	2	1	no	—
667	C₂²⋊Dic₅	—	2	1	no	—
668	C₂²⋊Dic₅	—	2	1	no	—
669	C₂²⋊Dic₅	—	2	1	no	—
670	C₂²⋊Dic₅	—	2	1	no	—
671	C₂²⋊Dic₅	—	2	1	no	—
672	C₂²⋊Dic₅	—	2	1	no	—
673	C₂²⋊Dic₅	—	2	1	no	—
674	C₂²⋊Dic₅	—	2	1	no	—
675	C₂²⋊Dic₅	—	2	1	no	—
676	C₂²⋊Dic₅	—	2	1	no	—
677	C₂²⋊Dic₅	—	2	1	no	—
678	C₂²⋊Dic₅	—	2	1	no	—
679	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
680	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
681	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
682	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
683	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
684	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
685	#689	—	2	2	no	—
686	#689	—	4	1	no	—
687	#689	—	4	1	no	—
688	#689	—	4	1	no	—
689	#688	—	2	2	no	—
690	#688	—	4	1	no	—
691	#687	—	2	2	no	—
692	#687	—	4	1	no	—
693	#687	—	4	1	no	—
694	#687	—	4	1	no	—
695	#686	—	2	2	no	—
696	#686	—	4	1	no	—
697	#685	—	2	1	no	—
698	#685	—	2	1	no	—
699	#685	—	2	1	no	—
700	#685	—	2	1	no	—
701	#685	—	2	1	no	—
702	#685	—	2	1	no	—
703	#685	—	2	1	no	—
704	#685	—	2	1	no	—
705	#685	—	2	1	no	—
706	#685	—	2	1	no	—
707	#685	—	2	1	no	—
708	#685	—	2	1	no	—
709	#685	C₂×D₄	1	1	yes	characteristic
710	#685	C₂×D₄	1	1	yes	characteristic
711	#685	C₂×D₄	1	1	yes	characteristic
712	#685	C₂×D₄	1	1	yes	characteristic
713	C₄⋊Dic₅	—	2	1	no	—
714	C₄⋊Dic₅	—	2	1	no	—
715	C₄⋊Dic₅	—	2	1	no	—
716	C₄⋊Dic₅	—	2	1	no	—
717	C₄⋊Dic₅	—	2	1	no	—
718	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
719	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
720	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
721	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
722	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
723	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
724	#683	—	2	1	no	—
725	#683	—	2	1	no	—
726	#683	—	2	1	no	—
727	#683	—	2	1	no	—
728	#683	—	2	1	no	—
729	#683	—	2	1	no	—
730	#683	—	2	1	no	—
731	#683	—	2	1	no	—
732	#683	—	2	1	no	—
733	#683	—	2	1	no	—
734	#683	—	2	1	no	—
735	#683	—	2	1	no	—
736	#683	—	2	1	no	—
737	#683	—	2	1	no	—
738	#683	—	2	1	no	—
739	#683	—	2	1	no	—
740	#683	C₂×D₄	1	1	yes	characteristic
741	#683	C₂×D₄	1	1	yes	characteristic
742	#683	C₂×D₄	1	1	yes	characteristic
743	#683	C₂×D₄	1	1	yes	characteristic
744	C₄×Dic₅	—	2	1	no	—
745	C₄×Dic₅	—	2	1	no	—
746	C₄×Dic₅	—	2	1	no	—
747	C₄×Dic₅	—	2	1	no	—
748	C₄×Dic₅	—	2	1	no	—
749	C₄×Dic₅	—	2	1	no	—
750	C₄×Dic₅	—	2	1	no	—
751	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
752	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
753	#681	—	4	1	no	—
754	#681	—	4	1	no	—
755	C₂×#168	C₂⁴	1	1	yes	characteristic
756	C₂×#168	C₂⁴	1	1	yes	characteristic
757	C₂×#168	C₂⁴	1	1	yes	characteristic
758	C₂×#168	C₂⁴	1	1	yes	characteristic
759	Dic₂₀	—	4	1	no	—
760	Dic₂₀	—	4	1	no	—
761	#677	—	4	1	no	—
762	#677	—	4	1	no	—
763	#676	—	4	1	no	—
764	#676	—	4	1	no	—
765	C₈×D₅	—	4	1	no	—
766	C₈×D₅	—	4	1	no	—
767	C₂×2₋¹⁺⁴	—	5	1	no	—
768	C₂²×#41	C₂×D₅	1	1	yes	characteristic, complemented
769	C₂×#137	—	5	1	no	—
770	C₂×#137	—	5	1	no	—
771	C₂×AGL(1,ℤ/8)	—	5	1	no	—
772	C₂×AGL(1,ℤ/8)	—	5	1	no	—
773	C₂×#135	C₂×D₅	1	1	yes	characteristic
774	C₂×#135	C₂×D₅	1	1	yes	characteristic
775	C₂²×Q₁₆	—	5	1	no	—
776	C₂²×SD₁₆	—	5	1	no	—
777	H(3,𝔽₄)	—	10	1	no	—
778	#560	—	10	1	no	—
779	#559	—	10	1	no	—
780	#556	—	5	1	no	—
781	#556	—	5	1	no	—
782	#555	—	5	1	no	—
783	#555	—	5	1	no	—
784	#551	—	10	1	no	—
785	D₄×Q₈	—	5	1	no	—
786	D₄×Q₈	—	5	1	no	—
787	#548	—	5	1	no	—
788	#548	—	5	1	no	—
789	#548	—	5	1	no	—
790	#548	—	5	1	no	—
791	#547	—	5	1	no	—
792	#547	—	5	1	no	—
793	#547	—	10	1	no	—
794	#547	—	10	1	no	—
795	#546	—	5	1	no	—
796	#546	—	5	1	no	—
797	#546	—	5	1	no	—
798	#546	—	5	1	no	—
799	#546	—	10	1	no	—
800	#546	—	10	1	no	—
801	#542	—	5	1	no	—
802	#542	—	5	1	no	—
803	#542	—	10	1	no	—
804	#542	—	10	1	no	—
805	#538	—	10	1	no	—
806	#538	—	10	1	no	—
807	#537	—	5	1	no	—
808	#537	—	10	1	no	—
809	#536	—	5	1	no	—
810	#536	—	5	1	no	—
811	#536	—	10	1	no	—
812	#535	—	5	1	no	—
813	#525	—	5	1	no	—
814	#525	—	5	1	no	—
815	#525	—	10	1	no	—
816	#525	C₂×D₅	1	1	yes	characteristic
817	C₂×C₂²⋊Q₈	—	5	1	no	—
818	C₂×C₂²⋊Q₈	—	10	1	no	—
819	#520	—	5	1	no	—
820	#497	—	5	1	no	—
821	#497	—	5	1	no	—
822	#495	—	5	1	no	—
823	#495	—	5	1	no	—
824	#489	—	5	1	no	—
825	#489	—	5	1	no	—
826	#487	—	5	1	no	—
827	#487	—	5	1	no	—
828	#485	—	5	1	no	—
829	#485	—	5	1	no	—
830	#485	—	5	1	no	—
831	#485	—	5	1	no	—
832	#485	—	5	1	no	—
833	#485	—	5	1	no	—
834	#484	—	5	1	no	—
835	#483	—	5	1	no	—
836	#482	—	5	1	no	—
837	#482	—	5	1	no	—
838	#481	—	5	1	no	—
839	#480	—	5	1	no	—
840	#477	—	5	1	no	—
841	#476	—	5	1	no	—
842	#475	—	5	1	no	—
843	#474	—	5	1	no	—
844	#470	—	5	1	no	—
845	#470	—	5	1	no	—
846	#470	—	5	1	no	—
847	#469	—	5	1	no	—
848	#468	—	5	1	no	—
849	#468	—	5	1	no	—
850	#468	—	5	1	no	—
851	#468	—	5	1	no	—
852	#467	—	5	1	no	—
853	#467	—	5	1	no	—
854	#467	—	5	1	no	—
855	#466	—	5	1	no	—
856	#465	—	5	1	no	—
857	#465	—	5	1	no	—
858	#465	—	5	1	no	—
859	#465	—	5	1	no	—
860	#464	—	5	1	no	—
861	#464	—	5	1	no	—
862	#464	—	5	1	no	—
863	#464	—	5	1	no	—
864	#463	—	5	1	no	—
865	#463	—	5	1	no	—
866	#463	—	5	1	no	—
867	#463	—	5	1	no	—
868	#462	—	5	1	no	—
869	#462	—	5	1	no	—
870	#461	—	5	1	no	—
871	#461	—	5	1	no	—
872	#452	—	5	1	no	—
873	#452	—	5	1	no	—
874	#452	—	5	1	no	—
875	#452	—	5	1	no	—
876	#452	—	5	1	no	—
877	#452	—	5	1	no	—
878	#452	—	5	1	no	—
879	#452	—	5	1	no	—
880	#452	—	5	1	no	—
881	#452	—	5	1	no	—
882	#452	C₂×D₅	1	1	yes	characteristic, complemented
883	#452	C₂×D₅	1	1	yes	characteristic, complemented
884	#451	—	5	1	no	—
885	#451	—	5	1	no	—
886	#451	—	5	1	no	—
887	#451	—	5	1	no	—
888	#451	—	5	1	no	—
889	#451	C₂×D₅	1	1	yes	characteristic, complemented
890	#450	—	5	1	no	—
891	#450	C₂×D₅	1	1	yes	characteristic, complemented
892	#449	—	5	1	no	—
893	#449	—	5	1	no	—
894	#449	—	5	1	no	—
895	#449	—	5	1	no	—
896	#449	—	5	1	no	—
897	#449	—	5	1	no	—
898	#449	C₂×D₅	1	1	yes	characteristic
899	#449	C₂×D₅	1	1	yes	characteristic
900	#448	—	5	1	no	—
901	#448	—	5	1	no	—
902	#448	—	5	1	no	—
903	#448	—	5	1	no	—
904	#448	—	5	1	no	—
905	#448	C₂×D₅	1	1	yes	characteristic
906	#447	—	5	1	no	—
907	#447	C₂×D₅	1	1	yes	characteristic
908	#442	—	5	1	no	—
909	#441	—	5	1	no	—
910	#440	—	5	1	no	—
911	#440	—	5	1	no	—
912	C₄×Q₁₆	—	5	1	no	—
913	C₄×SD₁₆	—	5	1	no	—
914	C₄×SD₁₆	—	5	1	no	—
915	C₄×D₈	—	5	1	no	—
916	#436	—	5	1	no	—
917	#436	—	5	1	no	—
918	#435	—	5	1	no	—
919	#435	—	5	1	no	—
920	#435	—	5	1	no	—
921	#435	—	5	1	no	—
922	C₈×D₄	—	5	1	no	—
923	C₈×D₄	—	5	1	no	—
924	#433	—	5	1	no	—
925	#433	—	5	1	no	—
926	#419	—	5	1	no	—
927	#419	—	5	1	no	—
928	#419	—	5	1	no	—
929	#418	—	5	1	no	—
930	#416	—	5	1	no	—
931	#416	—	5	1	no	—
932	#416	C₂×D₅	1	1	yes	characteristic, complemented
933	#416	C₂×D₅	1	1	yes	characteristic, complemented
934	#408	—	5	1	no	—
935	#408	—	5	1	no	—
936	#407	—	5	1	no	—
937	C₂×C₂²⋊C₈	C₂×D₅	1	1	yes	characteristic, complemented
938	C₂³×C₅	—	2	1	no	—
939	C₂³×C₅	—	2	1	no	—
940	C₂³×C₅	—	2	1	no	—
941	C₂³×C₅	—	4	1	no	—
942	C₂³×C₅	—	4	1	no	—
943	C₂³×C₅	—	4	1	no	—
944	C₂³×C₅	—	4	2	no	—
945	C₂³×C₅	—	4	2	no	—
946	C₂³×C₅	—	8	1	no	—
947	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
948	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
949	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
950	C₂²×D₅	—	2	1	no	—
951	C₂²×D₅	—	8	1	no	—
952	C₂²×D₅	—	8	1	no	—
953	C₂²×D₅	—	8	1	no	—
954	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
955	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
956	C₅×Q₈	—	2	1	no	—
957	C₅×Q₈	—	2	1	no	—
958	C₅×Q₈	—	2	1	no	—
959	C₅×Q₈	—	2	1	no	—
960	C₅×Q₈	—	2	1	no	—
961	C₅×Q₈	—	4	2	no	—
962	C₅×Q₈	H(5,𝔽₂)	1	2	yes	—
963	C₅×D₄	—	2	4	no	—
964	C₅×D₄	—	2	1	no	—
965	C₅×D₄	—	2	1	no	—
966	C₅×D₄	—	2	1	no	—
967	C₅×D₄	—	2	1	no	—
968	C₅×D₄	—	2	1	no	—
969	C₅×D₄	—	4	2	no	—
970	C₅×D₄	—	4	2	no	—
971	C₅×D₄	—	4	2	no	—
972	C₅×D₄	—	4	2	no	—
973	C₅×D₄	—	8	1	no	—
974	C₅×D₄	—	8	1	no	—
975	C₅×D₄	—	8	1	no	—
976	C₅×D₄	H(5,𝔽₂)	1	2	yes	—
977	C₂×C₄×C₅	—	2	4	no	—
978	C₂×C₄×C₅	—	2	1	no	—
979	C₂×C₄×C₅	—	2	1	no	—
980	C₂×C₄×C₅	—	2	1	no	—
981	C₂×C₄×C₅	—	2	1	no	—
982	C₂×C₄×C₅	—	2	1	no	—
983	C₂×C₄×C₅	—	2	1	no	—
984	C₂×C₄×C₅	—	2	1	no	—
985	C₂×C₄×C₅	—	2	1	no	—
986	C₂×C₄×C₅	—	2	1	no	—
987	C₂×C₄×C₅	—	2	1	no	—
988	C₂×C₄×C₅	—	2	1	no	—
989	C₂×C₄×C₅	—	4	1	no	—
990	C₂×C₄×C₅	—	4	1	no	—
991	C₂×C₄×C₅	—	4	1	no	—
992	C₂×C₄×C₅	—	4	2	no	—
993	C₂×C₄×C₅	—	4	2	no	—
994	C₂×C₄×C₅	—	4	2	no	—
995	C₂×C₄×C₅	—	4	2	no	—
996	C₂×C₄×C₅	—	8	1	no	—
997	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
998	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
999	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
1000	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
1001	C₂²⋊D₅	—	4	1	no	—
1002	C₂²⋊D₅	—	4	1	no	—
1003	C₂²⋊D₅	—	4	1	no	—
1004	C₂²⋊D₅	—	4	1	no	—
1005	C₂²⋊D₅	—	4	1	no	—
1006	C₂²⋊D₅	—	4	1	no	—
1007	C₂²⋊D₅	—	4	2	no	—
1008	C₂²⋊D₅	—	4	2	no	—
1009	C₂²⋊D₅	—	8	1	no	—
1010	C₂²⋊D₅	—	8	1	no	—
1011	C₂²⋊D₅	—	8	1	no	—
1012	C₂²⋊D₅	—	8	1	no	—
1013	C₂²⋊D₅	—	8	1	no	—
1014	C₂²⋊D₅	—	8	1	no	—
1015	C₂²⋊D₅	—	8	1	no	—
1016	C₂×Dic₅	—	2	1	no	—
1017	C₂×Dic₅	—	2	1	no	—
1018	C₂×Dic₅	—	2	1	no	—
1019	C₂×Dic₅	—	2	1	no	—
1020	C₂×Dic₅	—	2	1	no	—
1021	C₂×Dic₅	—	2	1	no	—
1022	C₂×Dic₅	—	2	1	no	—
1023	C₂×Dic₅	—	4	2	no	—
1024	C₂×Dic₅	—	4	2	no	—
1025	C₂×Dic₅	—	4	2	no	—
1026	C₂×Dic₅	—	8	1	no	—
1027	C₂×Dic₅	—	8	1	no	—
1028	C₂×Dic₅	—	8	1	no	—
1029	C₂×Dic₅	—	8	1	no	—
1030	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1031	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1032	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1033	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1034	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1035	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1036	D₂₀	—	2	1	no	—
1037	D₂₀	—	2	1	no	—
1038	D₂₀	—	4	1	no	—
1039	D₂₀	—	8	1	no	—
1040	C₄×D₅	—	2	1	no	—
1041	C₄×D₅	—	2	1	no	—
1042	C₄×D₅	—	2	1	no	—
1043	C₄×D₅	—	2	1	no	—
1044	C₄×D₅	—	4	2	no	—
1045	C₄×D₅	—	4	2	no	—
1046	C₄×D₅	—	8	1	no	—
1047	C₄×D₅	—	8	1	no	—
1048	C₄×D₅	—	8	1	no	—
1049	Dic₁₀	—	2	1	no	—
1050	Dic₁₀	—	2	1	no	—
1051	Dic₁₀	—	2	1	no	—
1052	Dic₁₀	—	2	1	no	—
1053	Dic₁₀	—	2	1	no	—
1054	Dic₁₀	—	2	1	no	—
1055	Dic₁₀	—	4	1	no	—
1056	Dic₁₀	—	4	2	no	—
1057	Dic₁₀	—	4	2	no	—
1058	Dic₁₀	—	4	2	no	—
1059	Dic₁₀	—	8	1	no	—
1060	Dic₁₀	—	8	1	no	—
1061	Dic₁₀	—	8	1	no	—
1062	C₅×C₈	—	2	1	no	—
1063	C₅×C₈	—	2	1	no	—
1064	C₅×C₈	—	2	1	no	—
1065	C₅×C₈	—	2	1	no	—
1066	#168	—	2	1	no	—
1067	#168	—	2	1	no	—
1068	#168	—	2	1	no	—
1069	#168	—	2	1	no	—
1070	2₋¹⁺⁴	—	20	2	no	—
1071	2₋¹⁺⁴	—	20	2	no	—
1072	C₂×#41	—	2	1	no	—
1073	C₂×#41	—	2	1	no	—
1074	C₂×#41	—	4	2	no	—
1075	C₂×#41	—	4	2	no	—
1076	C₂×#41	—	5	1	no	—
1077	C₂×#41	—	5	1	no	—
1078	C₂×#41	—	5	1	no	—
1079	C₂×#41	—	5	1	no	—
1080	C₂×#41	—	10	1	no	—
1081	C₂×#41	—	10	1	no	—
1082	C₂×#41	—	10	1	no	—
1083	C₂×#41	C₂²×D₅	1	1	yes	characteristic
1084	C₂×#41	C₂²×D₅	1	1	yes	characteristic
1085	C₂×#41	C₂²×D₅	1	1	yes	characteristic
1086	C₂×#41	C₂²×D₅	1	1	yes	characteristic
1087	C₂×#41	C₂²×D₅	1	1	yes	characteristic
1088	C₂²×Q₈	—	5	1	no	—
1089	C₂²×Q₈	—	5	1	no	—
1090	C₂²×Q₈	—	5	1	no	—
1091	C₂²×Q₈	—	5	1	no	—
1092	C₂²×Q₈	—	10	1	no	—
1093	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic
1094	C₂²×D₄	—	2	1	no	—
1095	C₂²×D₄	—	5	1	no	—
1096	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
1097	C₂³×C₄	—	2	1	no	—
1098	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic
1099	#137	—	20	2	no	—
1100	#137	—	20	2	no	—
1101	AGL(1,ℤ/8)	—	20	2	no	—
1102	AGL(1,ℤ/8)	—	20	2	no	—
1103	#135	—	4	2	no	—
1104	#135	—	4	2	no	—
1105	C₂×Q₁₆	—	5	1	no	—
1106	C₂×Q₁₆	—	5	1	no	—
1107	C₂×Q₁₆	—	5	1	no	—
1108	C₂×Q₁₆	—	5	1	no	—
1109	C₂×Q₁₆	—	5	1	no	—
1110	C₂×Q₁₆	—	5	1	no	—
1111	C₂×Q₁₆	—	20	2	no	—
1112	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1113	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1114	C₂×SD₁₆	—	5	1	no	—
1115	C₂×SD₁₆	—	5	1	no	—
1116	C₂×SD₁₆	—	5	1	no	—
1117	C₂×SD₁₆	—	5	1	no	—
1118	C₂×SD₁₆	—	5	1	no	—
1119	C₂×SD₁₆	—	5	1	no	—
1120	C₂×SD₁₆	—	5	1	no	—
1121	C₂×SD₁₆	—	5	1	no	—
1122	C₂×SD₁₆	—	20	2	no	—
1123	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1124	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1125	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1126	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1127	C₂×D₈	—	5	1	no	—
1128	C₂×D₈	—	5	1	no	—
1129	C₂×D₈	C₂²×D₅	1	1	yes	characteristic
1130	C₂×D₈	C₂²×D₅	1	1	yes	characteristic
1131	C₂×M₁₆	—	5	1	no	—
1132	C₂×M₁₆	—	5	1	no	—
1133	C₂×M₁₆	—	5	1	no	—
1134	C₂×M₁₆	—	5	1	no	—
1135	C₂²×C₈	—	5	1	no	—
1136	C₂²×C₈	—	5	1	no	—
1137	C₂²×C₈	C₂²×D₅	1	1	yes	characteristic
1138	C₂²×C₈	C₂²×D₅	1	1	yes	characteristic
1139	C₄⋊Q₈	—	5	1	no	—
1140	C₄⋊Q₈	—	5	1	no	—
1141	C₄⋊Q₈	—	5	1	no	—
1142	C₄⋊Q₈	—	5	1	no	—
1143	C₄⋊Q₈	—	10	1	no	—
1144	C₄⋊Q₈	—	10	1	no	—
1145	C₄⋊Q₈	—	10	1	no	—
1146	#127	—	10	1	no	—
1147	#126	—	10	1	no	—
1148	#126	—	10	1	no	—
1149	#126	—	10	1	no	—
1150	#126	—	10	1	no	—
1151	#126	—	10	1	no	—
1152	#126	—	10	1	no	—
1153	#124	—	5	1	no	—
1154	#124	—	5	1	no	—
1155	#124	—	5	1	no	—
1156	#124	—	5	1	no	—
1157	#124	—	10	1	no	—
1158	#124	—	10	1	no	—
1159	#124	—	10	1	no	—
1160	#124	—	10	1	no	—
1161	#124	—	10	1	no	—
1162	#124	—	10	1	no	—
1163	#124	—	10	1	no	—
1164	#124	—	10	1	no	—
1165	#124	—	10	1	no	—
1166	#124	—	10	1	no	—
1167	#124	—	10	1	no	—
1168	#124	—	10	1	no	—
1169	#124	—	10	1	no	—
1170	#124	—	10	1	no	—
1171	#123	—	2	1	no	—
1172	#123	—	5	1	no	—
1173	#123	—	5	1	no	—
1174	#123	—	10	1	no	—
1175	#123	—	10	1	no	—
1176	#123	—	10	1	no	—
1177	#123	—	10	1	no	—
1178	#123	—	10	1	no	—
1179	#123	—	10	1	no	—
1180	#123	—	10	1	no	—
1181	#123	—	10	1	no	—
1182	#123	—	10	1	no	—
1183	#123	—	10	1	no	—
1184	#123	—	10	1	no	—
1185	#123	—	10	1	no	—
1186	#123	—	10	1	no	—
1187	#123	—	10	1	no	—
1188	#123	—	10	1	no	—
1189	C₂²⋊Q₈	—	5	1	no	—
1190	C₂²⋊Q₈	—	5	1	no	—
1191	C₂²⋊Q₈	—	5	1	no	—
1192	C₂²⋊Q₈	—	5	1	no	—
1193	C₂²⋊Q₈	—	5	1	no	—
1194	C₂²⋊Q₈	—	5	1	no	—
1195	C₂²⋊Q₈	—	5	1	no	—
1196	C₂²⋊Q₈	—	5	1	no	—
1197	C₂²⋊Q₈	—	5	1	no	—
1198	C₂²⋊Q₈	—	5	1	no	—
1199	C₂²⋊Q₈	—	5	1	no	—
1200	C₂²⋊Q₈	—	5	1	no	—
1201	C₂²⋊Q₈	—	10	1	no	—
1202	C₂²⋊Q₈	—	10	1	no	—
1203	C₂²⋊Q₈	—	10	1	no	—
1204	C₂²⋊Q₈	—	10	1	no	—
1205	C₂²⋊Q₈	—	10	1	no	—
1206	C₂²⋊Q₈	—	10	1	no	—
1207	C₂²⋊Q₈	—	10	1	no	—
1208	C₂²⋊Q₈	—	10	1	no	—
1209	C₂²⋊Q₈	—	10	1	no	—
1210	C₂²⋊Q₈	—	10	1	no	—
1211	C₂²⋊Q₈	—	10	1	no	—
1212	C₂²⋊Q₈	—	10	1	no	—
1213	C₂²⋊Q₈	—	10	1	no	—
1214	C₂²⋊Q₈	—	10	1	no	—
1215	C₂²⋊Q₈	—	10	1	no	—
1216	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1217	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1218	#121	—	5	1	no	—
1219	#121	—	5	1	no	—
1220	#121	—	5	1	no	—
1221	#121	—	5	1	no	—
1222	#121	—	5	1	no	—
1223	#121	—	5	1	no	—
1224	#121	—	5	1	no	—
1225	#121	—	5	1	no	—
1226	#121	—	10	1	no	—
1227	#121	—	10	1	no	—
1228	#121	—	10	1	no	—
1229	#121	—	10	1	no	—
1230	#121	—	10	1	no	—
1231	#121	—	10	1	no	—
1232	#121	—	10	1	no	—
1233	#121	—	10	1	no	—
1234	#121	—	10	1	no	—
1235	#121	—	10	1	no	—
1236	#121	—	10	1	no	—
1237	#121	—	10	1	no	—
1238	#121	—	10	1	no	—
1239	#121	—	10	1	no	—
1240	#121	—	10	1	no	—
1241	#121	C₂²×D₅	1	1	yes	characteristic
1242	#121	C₂²×D₅	1	1	yes	characteristic
1243	#120	—	2	1	no	—
1244	#120	—	5	1	no	—
1245	#120	—	5	1	no	—
1246	#120	—	10	1	no	—
1247	#120	—	10	1	no	—
1248	#120	—	10	1	no	—
1249	#120	—	10	1	no	—
1250	#120	—	10	1	no	—
1251	#120	—	10	1	no	—
1252	#120	—	10	1	no	—
1253	C₄×Q₈	—	5	1	no	—
1254	C₄×Q₈	—	5	1	no	—
1255	C₄×Q₈	—	5	1	no	—
1256	C₄×Q₈	—	5	1	no	—
1257	C₄×Q₈	—	10	1	no	—
1258	C₄×Q₈	—	10	1	no	—
1259	C₄×D₄	—	2	1	no	—
1260	C₄×D₄	—	2	1	no	—
1261	C₄×D₄	—	5	1	no	—
1262	C₄×D₄	—	5	1	no	—
1263	C₄×D₄	—	5	1	no	—
1264	C₄×D₄	—	5	1	no	—
1265	C₄×D₄	—	5	1	no	—
1266	C₄×D₄	—	5	1	no	—
1267	C₄×D₄	—	5	1	no	—
1268	C₄×D₄	—	5	1	no	—
1269	C₄×D₄	—	10	1	no	—
1270	C₄×D₄	—	10	1	no	—
1271	C₄×D₄	—	10	1	no	—
1272	C₄×D₄	—	10	1	no	—
1273	C₄×D₄	—	10	1	no	—
1274	C₄×D₄	—	10	1	no	—
1275	C₄×D₄	—	10	1	no	—
1276	C₄×D₄	—	10	1	no	—
1277	C₄×D₄	—	10	1	no	—
1278	C₄×D₄	—	10	1	no	—
1279	#117	—	5	1	no	—
1280	#117	—	5	1	no	—
1281	#117	—	5	1	no	—
1282	#117	—	5	1	no	—
1283	#117	—	10	1	no	—
1284	#117	—	10	1	no	—
1285	#117	—	10	1	no	—
1286	#117	C₂²×D₅	1	1	yes	characteristic
1287	C₂×C₄⋊C₄	—	5	1	no	—
1288	C₂×C₄⋊C₄	—	10	1	no	—
1289	C₂×C₄⋊C₄	—	10	1	no	—
1290	C₂×C₄⋊C₄	—	10	1	no	—
1291	C₂×C₄⋊C₄	—	10	1	no	—
1292	C₂×C₂²⋊C₄	—	10	1	no	—
1293	C₂×C₂²⋊C₄	—	10	1	no	—
1294	C₂×C₂²⋊C₄	—	10	1	no	—
1295	C₂×C₂²⋊C₄	—	10	1	no	—
1296	C₂×C₂²⋊C₄	—	10	1	no	—
1297	#107	—	5	1	no	—
1298	#107	—	5	1	no	—
1299	#107	—	5	1	no	—
1300	#107	—	5	1	no	—
1301	#106	—	5	1	no	—
1302	#106	—	5	1	no	—
1303	#106	—	5	1	no	—
1304	#106	—	5	1	no	—
1305	C₄⋊C₈	—	5	1	no	—
1306	C₄⋊C₈	—	5	1	no	—
1307	C₄⋊C₈	—	5	1	no	—
1308	C₄⋊C₈	—	5	1	no	—
1309	#103	—	5	1	no	—
1310	#103	—	5	1	no	—
1311	#103	—	5	1	no	—
1312	#103	—	5	1	no	—
1313	#103	—	5	1	no	—
1314	#103	—	5	1	no	—
1315	#103	—	5	1	no	—
1316	#103	—	5	1	no	—
1317	#103	—	5	1	no	—
1318	#103	—	5	1	no	—
1319	#103	—	5	1	no	—
1320	#103	—	5	1	no	—
1321	#103	—	5	1	no	—
1322	#103	—	5	1	no	—
1323	#103	—	5	1	no	—
1324	#103	—	5	1	no	—
1325	#103	C₂²×D₅	1	1	yes	characteristic
1326	#103	C₂²×D₅	1	1	yes	characteristic
1327	#103	C₂²×D₅	1	1	yes	characteristic
1328	#103	C₂²×D₅	1	1	yes	characteristic
1329	#102	—	5	1	no	—
1330	#102	—	5	1	no	—
1331	#102	—	5	1	no	—
1332	#102	—	5	1	no	—
1333	#102	—	5	1	no	—
1334	#102	—	5	1	no	—
1335	#102	—	5	1	no	—
1336	#102	—	5	1	no	—
1337	#102	C₂²×D₅	1	1	yes	characteristic
1338	#102	C₂²×D₅	1	1	yes	characteristic
1339	#102	C₂²×D₅	1	1	yes	characteristic
1340	#102	C₂²×D₅	1	1	yes	characteristic
1341	C₂²⋊C₈	—	5	1	no	—
1342	C₂²⋊C₈	—	5	1	no	—
1343	C₂²⋊C₈	—	5	1	no	—
1344	C₂²⋊C₈	—	5	1	no	—
1345	C₂²⋊C₈	—	5	1	no	—
1346	C₂²⋊C₈	—	5	1	no	—
1347	C₂²⋊C₈	—	5	1	no	—
1348	C₂²⋊C₈	—	5	1	no	—
1349	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1350	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1351	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1352	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1353	#97	—	5	1	no	—
1354	#97	—	5	1	no	—
1355	C₄×C₈	—	5	1	no	—
1356	C₄×C₈	—	5	1	no	—
1357	C₂²×C₅	—	2	1	no	—
1358	C₂²×C₅	—	2	1	no	—
1359	C₂²×C₅	—	2	1	no	—
1360	C₂²×C₅	—	2	1	no	—
1361	C₂²×C₅	—	2	1	no	—
1362	C₂²×C₅	—	2	1	no	—
1363	C₂²×C₅	—	2	1	no	—
1364	C₂²×C₅	—	2	2	no	—
1365	C₂²×C₅	—	2	1	no	—
1366	C₂²×C₅	—	2	1	no	—
1367	C₂²×C₅	—	4	1	no	—
1368	C₂²×C₅	—	4	1	no	—
1369	C₂²×C₅	—	4	1	no	—
1370	C₂²×C₅	—	4	1	no	—
1371	C₂²×C₅	—	4	1	no	—
1372	C₂²×C₅	—	4	1	no	—
1373	C₂²×C₅	—	4	1	no	—
1374	C₂²×C₅	—	4	1	no	—
1375	C₂²×C₅	—	8	2	no	—
1376	C₂²×C₅	—	8	4	no	—
1377	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1378	C₂×D₅	—	2	1	no	—
1379	C₂×D₅	—	2	1	no	—
1380	C₂×D₅	—	2	1	no	—
1381	C₂×D₅	—	2	1	no	—
1382	C₂×D₅	—	2	1	no	—
1383	C₂×D₅	—	2	1	no	—
1384	C₂×D₅	—	4	1	no	—
1385	C₂×D₅	—	4	1	no	—
1386	C₂×D₅	—	4	1	no	—
1387	C₂×D₅	—	16	2	no	—
1388	C₄×C₅	—	2	1	no	—
1389	C₄×C₅	—	2	2	no	—
1390	C₄×C₅	—	2	1	no	—
1391	C₄×C₅	—	2	1	no	—
1392	C₄×C₅	—	4	1	no	—
1393	C₄×C₅	—	4	1	no	—
1394	C₄×C₅	—	4	1	no	—
1395	C₄×C₅	—	4	1	no	—
1396	C₄×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1397	C₄×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1398	Dic₅	—	2	1	no	—
1399	Dic₅	—	2	1	no	—
1400	Dic₅	—	2	1	no	—
1401	Dic₅	—	2	1	no	—
1402	Dic₅	—	2	1	no	—
1403	Dic₅	—	2	1	no	—
1404	Dic₅	—	4	1	no	—
1405	Dic₅	—	4	1	no	—
1406	Dic₅	—	4	1	no	—
1407	Dic₅	—	4	1	no	—
1408	Dic₅	—	4	1	no	—
1409	Dic₅	—	4	1	no	—
1410	Dic₅	—	4	1	no	—
1411	C₂⁴	—	2	1	no	—
1412	C₂⁴	—	10	1	no	—
1413	C₂⁴	D₄×D₅	1	1	yes	characteristic
1414	#41	—	2	2	no	—
1415	#41	—	2	2	no	—
1416	#41	—	2	2	no	—
1417	#41	—	2	2	no	—
1418	#41	—	4	1	no	—
1419	#41	—	4	1	no	—
1420	#41	—	4	1	no	—
1421	#41	—	4	1	no	—
1422	#41	—	4	4	no	—
1423	#41	—	4	1	no	—
1424	#41	—	4	1	no	—
1425	#41	—	4	4	no	—
1426	#41	—	10	2	no	—
1427	#41	—	10	2	no	—
1428	#41	—	20	1	no	—
1429	#41	—	20	1	no	—
1430	#41	—	20	4	no	—
1431	#41	—	20	1	no	—
1432	#41	—	20	1	no	—
1433	#41	—	20	1	no	—
1434	#41	—	20	1	no	—
1435	#41	—	20	4	no	—
1436	#41	—	20	4	no	—
1437	C₂×Q₈	—	2	1	no	—
1438	C₂×Q₈	—	2	2	no	—
1439	C₂×Q₈	—	4	1	no	—
1440	C₂×Q₈	—	5	1	no	—
1441	C₂×Q₈	—	5	1	no	—
1442	C₂×Q₈	—	5	1	no	—
1443	C₂×Q₈	—	5	1	no	—
1444	C₂×Q₈	—	10	1	no	—
1445	C₂×Q₈	—	10	1	no	—
1446	C₂×Q₈	—	10	1	no	—
1447	C₂×Q₈	—	10	1	no	—
1448	C₂×Q₈	—	10	1	no	—
1449	C₂×Q₈	—	10	1	no	—
1450	C₂×Q₈	—	10	2	no	—
1451	C₂×Q₈	—	10	2	no	—
1452	C₂×Q₈	—	20	1	no	—
1453	C₂×Q₈	—	20	1	no	—
1454	C₂×Q₈	—	20	4	no	—
1455	C₂×Q₈	—	20	1	no	—
1456	C₂×Q₈	—	20	1	no	—
1457	C₂×Q₈	—	20	1	no	—
1458	C₂×Q₈	—	20	1	no	—
1459	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1460	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1461	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1462	C₂×D₄	—	2	1	no	—
1463	C₂×D₄	—	2	2	no	—
1464	C₂×D₄	—	2	1	no	—
1465	C₂×D₄	—	2	1	no	—
1466	C₂×D₄	—	2	1	no	—
1467	C₂×D₄	—	2	1	no	—
1468	C₂×D₄	—	2	1	no	—
1469	C₂×D₄	—	2	1	no	—
1470	C₂×D₄	—	2	1	no	—
1471	C₂×D₄	—	4	1	no	—
1472	C₂×D₄	—	4	4	no	—
1473	C₂×D₄	—	5	1	no	—
1474	C₂×D₄	—	5	1	no	—
1475	C₂×D₄	—	5	1	no	—
1476	C₂×D₄	—	5	1	no	—
1477	C₂×D₄	—	5	1	no	—
1478	C₂×D₄	—	5	1	no	—
1479	C₂×D₄	—	5	1	no	—
1480	C₂×D₄	—	5	1	no	—
1481	C₂×D₄	—	10	1	no	—
1482	C₂×D₄	—	10	1	no	—
1483	C₂×D₄	—	10	1	no	—
1484	C₂×D₄	—	10	1	no	—
1485	C₂×D₄	—	10	1	no	—
1486	C₂×D₄	—	10	1	no	—
1487	C₂×D₄	—	10	1	no	—
1488	C₂×D₄	—	10	1	no	—
1489	C₂×D₄	—	10	1	no	—
1490	C₂×D₄	—	10	1	no	—
1491	C₂×D₄	—	20	1	no	—
1492	C₂×D₄	—	20	1	no	—
1493	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1494	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1495	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1496	C₂²×C₄	—	2	1	no	—
1497	C₂²×C₄	—	2	1	no	—
1498	C₂²×C₄	—	2	1	no	—
1499	C₂²×C₄	—	2	1	no	—
1500	C₂²×C₄	—	2	1	no	—
1501	C₂²×C₄	—	2	1	no	—
1502	C₂²×C₄	—	4	1	no	—
1503	C₂²×C₄	—	4	1	no	—
1504	C₂²×C₄	—	4	4	no	—
1505	C₂²×C₄	—	5	1	no	—
1506	C₂²×C₄	—	5	1	no	—
1507	C₂²×C₄	—	10	1	no	—
1508	C₂²×C₄	—	10	1	no	—
1509	C₂²×C₄	—	10	1	no	—
1510	C₂²×C₄	—	10	1	no	—
1511	C₂²×C₄	—	10	1	no	—
1512	C₂²×C₄	—	10	1	no	—
1513	C₂²×C₄	—	10	1	no	—
1514	C₂²×C₄	—	10	1	no	—
1515	C₂²×C₄	—	10	1	no	—
1516	C₂²×C₄	—	10	1	no	—
1517	C₂²×C₄	—	10	1	no	—
1518	C₂²×C₄	—	10	1	no	—
1519	C₂²×C₄	D₄×D₅	1	1	yes	characteristic
1520	C₂²×C₄	D₄×D₅	1	1	yes	characteristic
1521	C₂²×C₄	D₄×D₅	1	1	yes	characteristic
1522	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1523	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1524	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1525	Q₁₆	—	2	2	no	—
1526	Q₁₆	—	4	1	no	—
1527	Q₁₆	—	10	2	no	—
1528	Q₁₆	—	20	1	no	—
1529	Q₁₆	—	20	1	no	—
1530	Q₁₆	—	20	1	no	—
1531	Q₁₆	—	20	1	no	—
1532	Q₁₆	—	20	1	no	—
1533	SD₁₆	—	2	2	no	—
1534	SD₁₆	—	2	2	no	—
1535	SD₁₆	—	4	1	no	—
1536	SD₁₆	—	4	1	no	—
1537	SD₁₆	—	10	2	no	—
1538	SD₁₆	—	10	2	no	—
1539	SD₁₆	—	20	1	no	—
1540	SD₁₆	—	20	1	no	—
1541	SD₁₆	—	20	1	no	—
1542	SD₁₆	—	20	1	no	—
1543	SD₁₆	—	20	1	no	—
1544	SD₁₆	—	20	1	no	—
1545	D₈	—	2	2	no	—
1546	D₈	—	4	1	no	—
1547	D₈	—	10	2	no	—
1548	D₈	—	20	1	no	—
1549	M₁₆	—	20	1	no	—
1550	M₁₆	—	20	1	no	—
1551	M₁₆	—	20	1	no	—
1552	M₁₆	—	20	1	no	—
1553	C₂×C₈	—	4	1	no	—
1554	C₂×C₈	—	4	1	no	—
1555	C₂×C₈	—	5	1	no	—
1556	C₂×C₈	—	5	1	no	—
1557	C₂×C₈	—	5	1	no	—
1558	C₂×C₈	—	5	1	no	—
1559	C₂×C₈	—	20	1	no	—
1560	C₂×C₈	—	20	1	no	—
1561	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1562	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1563	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1564	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1565	C₄⋊C₄	—	2	1	no	—
1566	C₄⋊C₄	—	2	1	no	—
1567	C₄⋊C₄	—	5	1	no	—
1568	C₄⋊C₄	—	5	1	no	—
1569	C₄⋊C₄	—	5	1	no	—
1570	C₄⋊C₄	—	5	1	no	—
1571	C₄⋊C₄	—	5	1	no	—
1572	C₄⋊C₄	—	5	1	no	—
1573	C₄⋊C₄	—	5	1	no	—
1574	C₄⋊C₄	—	5	1	no	—
1575	C₄⋊C₄	—	5	1	no	—
1576	C₄⋊C₄	—	5	1	no	—
1577	C₄⋊C₄	—	10	1	no	—
1578	C₄⋊C₄	—	10	1	no	—
1579	C₄⋊C₄	—	10	1	no	—
1580	C₄⋊C₄	—	10	1	no	—
1581	C₄⋊C₄	—	10	1	no	—
1582	C₄⋊C₄	—	10	1	no	—
1583	C₄⋊C₄	—	10	1	no	—
1584	C₄⋊C₄	—	10	1	no	—
1585	C₄⋊C₄	—	10	1	no	—
1586	C₄⋊C₄	—	10	1	no	—
1587	C₄⋊C₄	—	10	1	no	—
1588	C₄⋊C₄	—	10	1	no	—
1589	C₄⋊C₄	—	10	1	no	—
1590	C₄⋊C₄	—	10	1	no	—
1591	C₄⋊C₄	—	10	1	no	—
1592	C₄⋊C₄	—	10	1	no	—
1593	C₄⋊C₄	—	10	1	no	—
1594	C₄⋊C₄	—	10	1	no	—
1595	C₄⋊C₄	—	10	1	no	—
1596	C₄⋊C₄	—	10	1	no	—
1597	C₄⋊C₄	—	10	1	no	—
1598	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1599	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1600	C₂²⋊C₄	—	2	1	no	—
1601	C₂²⋊C₄	—	2	1	no	—
1602	C₂²⋊C₄	—	2	1	no	—
1603	C₂²⋊C₄	—	2	1	no	—
1604	C₂²⋊C₄	—	2	1	no	—
1605	C₂²⋊C₄	—	5	1	no	—
1606	C₂²⋊C₄	—	5	1	no	—
1607	C₂²⋊C₄	—	5	1	no	—
1608	C₂²⋊C₄	—	5	1	no	—
1609	C₂²⋊C₄	—	5	1	no	—
1610	C₂²⋊C₄	—	5	1	no	—
1611	C₂²⋊C₄	—	5	1	no	—
1612	C₂²⋊C₄	—	5	1	no	—
1613	C₂²⋊C₄	—	5	1	no	—
1614	C₂²⋊C₄	—	5	1	no	—
1615	C₂²⋊C₄	—	10	1	no	—
1616	C₂²⋊C₄	—	10	1	no	—
1617	C₂²⋊C₄	—	10	1	no	—
1618	C₂²⋊C₄	—	10	1	no	—
1619	C₂²⋊C₄	—	10	1	no	—
1620	C₂²⋊C₄	—	10	1	no	—
1621	C₂²⋊C₄	—	10	1	no	—
1622	C₂²⋊C₄	—	10	1	no	—
1623	C₂²⋊C₄	—	10	1	no	—
1624	C₂²⋊C₄	—	10	1	no	—
1625	C₂²⋊C₄	—	10	1	no	—
1626	C₂²⋊C₄	—	10	1	no	—
1627	C₂²⋊C₄	—	10	1	no	—
1628	C₂²⋊C₄	—	10	1	no	—
1629	C₂²⋊C₄	—	10	1	no	—
1630	C₂²⋊C₄	—	10	1	no	—
1631	C₂²⋊C₄	—	10	1	no	—
1632	C₂²⋊C₄	—	10	1	no	—
1633	C₂²⋊C₄	—	10	1	no	—
1634	C₂²⋊C₄	—	10	1	no	—
1635	C₂²⋊C₄	—	10	1	no	—
1636	C₂²⋊C₄	—	10	1	no	—
1637	C₂²⋊C₄	—	10	1	no	—
1638	C₂²⋊C₄	—	10	1	no	—
1639	C₂²⋊C₄	—	10	1	no	—
1640	C₂²⋊C₄	—	10	1	no	—
1641	C₂²⋊C₄	—	10	1	no	—
1642	C₂²⋊C₄	—	10	1	no	—
1643	C₂²⋊C₄	—	10	1	no	—
1644	C₂²⋊C₄	—	10	1	no	—
1645	C₂²⋊C₄	—	10	1	no	—
1646	C₄²	—	2	1	no	—
1647	C₄²	—	5	1	no	—
1648	C₄²	—	5	1	no	—
1649	C₄²	—	10	1	no	—
1650	C₄²	—	10	1	no	—
1651	C₄²	—	10	1	no	—
1652	C₄²	—	10	1	no	—
1653	C₄²	—	10	1	no	—
1654	C₄²	—	10	1	no	—
1655	C₄²	—	10	1	no	—
1656	C₂×C₅	—	4	1	no	—
1657	C₂×C₅	—	4	1	no	—
1658	C₂×C₅	—	4	1	no	—
1659	C₂×C₅	—	4	2	no	—
1660	C₂×C₅	—	8	1	no	—
1661	C₂×C₅	—	8	1	no	—
1662	C₂×C₅	#3484	1	1	yes	characteristic
1663	C₂×C₅	#3584	1	1	yes	characteristic
1664	C₂×C₅	#3586	1	1	yes	characteristic
1665	D₅	—	4	1	no	—
1666	D₅	—	4	1	no	—
1667	D₅	—	8	1	no	—
1668	C₂³	—	2	1	no	—
1669	C₂³	—	2	1	no	—
1670	C₂³	—	2	1	no	—
1671	C₂³	—	4	1	no	—
1672	C₂³	—	4	1	no	—
1673	C₂³	—	4	1	no	—
1674	C₂³	—	4	2	no	—
1675	C₂³	—	4	2	no	—
1676	C₂³	—	5	1	no	—
1677	C₂³	—	5	1	no	—
1678	C₂³	—	8	1	no	—
1679	C₂³	—	10	1	no	—
1680	C₂³	—	40	1	no	—
1681	C₂³	—	40	1	no	—
1682	C₂³	—	40	1	no	—
1683	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1684	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1685	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1686	Q₈	—	2	1	no	—
1687	Q₈	—	2	1	no	—
1688	Q₈	—	2	1	no	—
1689	Q₈	—	2	1	no	—
1690	Q₈	—	2	1	no	—
1691	Q₈	—	4	2	no	—
1692	Q₈	—	10	1	no	—
1693	Q₈	—	10	1	no	—
1694	Q₈	—	10	1	no	—
1695	Q₈	—	10	1	no	—
1696	Q₈	—	10	1	no	—
1697	Q₈	—	10	1	no	—
1698	Q₈	—	20	1	no	—
1699	Q₈	—	20	2	no	—
1700	Q₈	—	20	2	no	—
1701	Q₈	—	20	2	no	—
1702	Q₈	—	40	1	no	—
1703	Q₈	—	40	1	no	—
1704	Q₈	—	40	1	no	—
1705	Q₈	#4144	1	2	yes	—
1706	D₄	—	2	4	no	—
1707	D₄	—	2	1	no	—
1708	D₄	—	2	1	no	—
1709	D₄	—	2	1	no	—
1710	D₄	—	2	1	no	—
1711	D₄	—	2	1	no	—
1712	D₄	—	4	2	no	—
1713	D₄	—	4	2	no	—
1714	D₄	—	4	2	no	—
1715	D₄	—	4	2	no	—
1716	D₄	—	8	1	no	—
1717	D₄	—	8	1	no	—
1718	D₄	—	8	1	no	—
1719	D₄	—	10	1	no	—
1720	D₄	—	10	1	no	—
1721	D₄	—	20	1	no	—
1722	D₄	—	20	1	no	—
1723	D₄	—	20	1	no	—
1724	D₄	—	20	1	no	—
1725	D₄	—	20	1	no	—
1726	D₄	—	20	1	no	—
1727	D₄	—	20	1	no	—
1728	D₄	—	20	2	no	—
1729	D₄	—	20	2	no	—
1730	D₄	—	40	1	no	—
1731	D₄	—	40	1	no	—
1732	D₄	—	40	1	no	—
1733	D₄	—	40	1	no	—
1734	D₄	—	40	1	no	—
1735	D₄	—	40	1	no	—
1736	D₄	—	40	1	no	—
1737	D₄	—	40	1	no	—
1738	D₄	#4144	1	2	yes	—
1739	C₂×C₄	—	2	4	no	—
1740	C₂×C₄	—	2	1	no	—
1741	C₂×C₄	—	2	1	no	—
1742	C₂×C₄	—	2	1	no	—
1743	C₂×C₄	—	2	1	no	—
1744	C₂×C₄	—	2	1	no	—
1745	C₂×C₄	—	2	1	no	—
1746	C₂×C₄	—	2	1	no	—
1747	C₂×C₄	—	2	1	no	—
1748	C₂×C₄	—	2	1	no	—
1749	C₂×C₄	—	2	1	no	—
1750	C₂×C₄	—	2	1	no	—
1751	C₂×C₄	—	4	1	no	—
1752	C₂×C₄	—	4	1	no	—
1753	C₂×C₄	—	4	1	no	—
1754	C₂×C₄	—	4	2	no	—
1755	C₂×C₄	—	4	2	no	—
1756	C₂×C₄	—	4	2	no	—
1757	C₂×C₄	—	4	2	no	—
1758	C₂×C₄	—	5	1	no	—
1759	C₂×C₄	—	5	1	no	—
1760	C₂×C₄	—	5	1	no	—
1761	C₂×C₄	—	5	1	no	—
1762	C₂×C₄	—	5	1	no	—
1763	C₂×C₄	—	5	1	no	—
1764	C₂×C₄	—	8	1	no	—
1765	C₂×C₄	—	10	1	no	—
1766	C₂×C₄	—	10	1	no	—
1767	C₂×C₄	—	10	1	no	—
1768	C₂×C₄	—	10	1	no	—
1769	C₂×C₄	—	10	1	no	—
1770	C₂×C₄	—	10	1	no	—
1771	C₂×C₄	—	10	1	no	—
1772	C₂×C₄	—	10	1	no	—
1773	C₂×C₄	—	10	1	no	—
1774	C₂×C₄	—	10	1	no	—
1775	C₂×C₄	—	10	1	no	—
1776	C₂×C₄	—	20	2	no	—
1777	C₂×C₄	—	20	2	no	—
1778	C₂×C₄	—	20	2	no	—
1779	C₂×C₄	—	20	2	no	—
1780	C₂×C₄	—	20	2	no	—
1781	C₂×C₄	—	40	1	no	—
1782	C₂×C₄	—	40	1	no	—
1783	C₂×C₄	—	40	1	no	—
1784	C₂×C₄	—	40	1	no	—
1785	C₂×C₄	—	40	1	no	—
1786	C₂×C₄	—	40	1	no	—
1787	C₂×C₄	—	40	1	no	—
1788	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1789	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1790	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1791	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1792	C₈	—	2	1	no	—
1793	C₈	—	2	1	no	—
1794	C₈	—	2	1	no	—
1795	C₈	—	2	1	no	—
1796	C₈	—	10	1	no	—
1797	C₈	—	10	1	no	—
1798	C₈	—	10	1	no	—
1799	C₈	—	10	1	no	—
1800	C₅	#61627	1	1	yes	characteristic, complemented, Sylow
1801	C₂²	—	2	1	no	—
1802	C₂²	—	2	1	no	—
1803	C₂²	—	2	1	no	—
1804	C₂²	—	2	1	no	—
1805	C₂²	—	2	1	no	—
1806	C₂²	—	2	2	no	—
1807	C₂²	—	2	1	no	—
1808	C₂²	—	2	1	no	—
1809	C₂²	—	2	1	no	—
1810	C₂²	—	2	1	no	—
1811	C₂²	—	4	1	no	—
1812	C₂²	—	4	1	no	—
1813	C₂²	—	4	1	no	—
1814	C₂²	—	4	1	no	—
1815	C₂²	—	4	1	no	—
1816	C₂²	—	4	1	no	—
1817	C₂²	—	4	1	no	—
1818	C₂²	—	4	1	no	—
1819	C₂²	—	8	2	no	—
1820	C₂²	—	8	4	no	—
1821	C₂²	—	10	1	no	—
1822	C₂²	—	10	1	no	—
1823	C₂²	—	10	1	no	—
1824	C₂²	—	10	1	no	—
1825	C₂²	—	10	1	no	—
1826	C₂²	—	10	1	no	—
1827	C₂²	—	20	1	no	—
1828	C₂²	—	20	1	no	—
1829	C₂²	—	20	1	no	—
1830	C₂²	—	80	2	no	—
1831	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1832	C₄	—	2	1	no	—
1833	C₄	—	2	2	no	—
1834	C₄	—	2	1	no	—
1835	C₄	—	2	1	no	—
1836	C₄	—	4	1	no	—
1837	C₄	—	4	1	no	—
1838	C₄	—	4	1	no	—
1839	C₄	—	4	1	no	—
1840	C₄	—	10	1	no	—
1841	C₄	—	10	1	no	—
1842	C₄	—	10	1	no	—
1843	C₄	—	10	1	no	—
1844	C₄	—	10	1	no	—
1845	C₄	—	10	1	no	—
1846	C₄	—	20	1	no	—
1847	C₄	—	20	1	no	—
1848	C₄	—	20	1	no	—
1849	C₄	—	20	1	no	—
1850	C₄	—	20	1	no	—
1851	C₄	—	20	1	no	—
1852	C₄	—	20	1	no	—
1853	C₄	C₂×#4144	1	1	yes	characteristic
1854	C₄	C₂×#4144	1	1	yes	characteristic
1855	C₂	—	4	1	no	—
1856	C₂	—	4	1	no	—
1857	C₂	—	4	1	no	—
1858	C₂	—	4	2	no	—
1859	C₂	—	8	1	no	—
1860	C₂	—	8	1	no	—
1861	C₂	—	20	1	no	—
1862	C₂	—	20	1	no	—
1863	C₂	—	40	1	no	—
1864	C₂	#10617820	1	1	yes	characteristic
1865	C₂	#10619088	1	1	yes	characteristic
1866	C₂	#10619102	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×#3002	C₂
socle	C₂²×C₅	C₂³×D₄
hypercenter	#3002	D₅
hypocenter	C₅	#61627
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ C₂³×C₄ ◁ #3002

Complements

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

N	H ≅ G/N	type
1. #10619165	C₂	semidirect
2. #10617933	C₂	semidirect
3. C₅×#3002	C₂	semidirect
4. #10615812	C₂	semidirect
5. #10615656	C₂	semidirect
6. #10615652	C₂	semidirect
7. #10615651	C₂	semidirect
8. #10615650	C₂	semidirect
9. #10614666	C₂	semidirect
10. #10611968	C₂	semidirect
11. #10611961	C₂	semidirect
12. #10611955	C₂	semidirect
13. #10611949	C₂	semidirect
14. #10611940	C₂	semidirect
15. #10611931	C₂	semidirect
16. #10611901	C₂	semidirect
17. #10611893	C₂	semidirect
18. #10611824	C₂	semidirect
19. #10611817	C₂	semidirect
20. #10611811	C₂	semidirect
21. #10611806	C₂	semidirect
22. #10611792	C₂	semidirect
23. #10611787	C₂	semidirect
24. #10611754	C₂	semidirect
25. #10611750	C₂	semidirect
26. #10610591	C₂	semidirect
27. #10610587	C₂	semidirect
28. #10610581	C₂	semidirect
29. #10610580	C₂	semidirect
30. #10610349	C₂	semidirect
31. #10610335	C₂	semidirect
32. C₂²×C₅×#41	C₂²	semidirect
40. #66165	C₂²	semidirect
41. #66165	C₂²	semidirect
42. #66163	C₂²	semidirect
43. #66161	C₂²	semidirect
45. #66159	C₂²	semidirect
49. #66158	C₂²	semidirect
51. Q₈×C₂²⋊D₅	C₂²	semidirect
56. #66140	C₂²	semidirect
62. C₂×#4070	C₂²	semidirect
63. C₂×D₅×Q₁₆	C₂²	semidirect
64. C₂×#4061	C₂²	semidirect
65. C₂×D₅×SD₁₆	C₂²	semidirect
66. C₂×#4057	C₂²	semidirect
69. #65977	C₂²	semidirect
72. #65962	C₂²	semidirect
75. #65941	C₂²	semidirect
76. #65937	C₂²	semidirect
83. #65867	C₂²	semidirect
84. #65866	C₂²	semidirect
85. C₅×#452	C₂²	semidirect
86. C₅×#452	C₂²	semidirect
87. C₅×#451	C₂²	semidirect
88. C₅×#450	C₂²	semidirect
93. C₅×#416	C₂²	semidirect
94. C₅×#416	C₂²	semidirect
95. C₂×C₅×C₂²⋊C₈	C₂²	semidirect
96. #65528	C₂²	semidirect
97. #65528	C₂²	semidirect
98. #65528	C₂²	semidirect
99. #65528	C₂²	semidirect
100. #65528	C₂²	semidirect
101. #65528	C₂²	semidirect
106. #65514	C₂²	semidirect
107. #65504	C₂²	semidirect
108. #65496	C₂²	semidirect
109. #65479	C₂²	semidirect
110. #65478	C₂²	semidirect
111. #65475	C₂²	semidirect
112. #65475	C₂²	semidirect
113. #65474	C₂²	semidirect
114. Q₁₆×Dic₅	C₂²	semidirect
115. #65471	C₂²	semidirect
116. #65463	C₂²	semidirect
117. #65462	C₂²	semidirect
118. #65460	C₂²	semidirect
119. #65459	C₂²	semidirect
120. #65459	C₂²	semidirect
121. #65458	C₂²	semidirect
122. #65457	C₂²	semidirect
123. #65456	C₂²	semidirect
124. #65455	C₂²	semidirect
125. #65455	C₂²	semidirect
126. #65454	C₂²	semidirect
127. #65453	C₂²	semidirect
128. #65451	C₂²	semidirect
129. SD₁₆×Dic₅	C₂²	semidirect
130. #65447	C₂²	semidirect
131. #65446	C₂²	semidirect
132. #65445	C₂²	semidirect
133. #65444	C₂²	semidirect
134. #65442	C₂²	semidirect
135. #65442	C₂²	semidirect
136. #65441	C₂²	semidirect
137. #65405	C₂²	semidirect
138. #65405	C₂²	semidirect
139. #65403	C₂²	semidirect
140. #65403	C₂²	semidirect
141. #65400	C₂²	semidirect
142. #65400	C₂²	semidirect
143. C₈×C₂²⋊D₅	C₂²	semidirect
144. C₈×C₂²⋊D₅	C₂²	semidirect
145. #65341	C₂²	semidirect
146. #65341	C₂²	semidirect
147. #65339	C₂²	semidirect
148. #65333	C₂²	semidirect
151. #65329	C₂²	semidirect
152. #65323	C₂²	semidirect
153. #65285	C₂²	semidirect
154. #65285	C₂²	semidirect
155. #65107	C₂²	semidirect
156. #65106	C₂²	semidirect
157. #65104	C₂²	semidirect
158. #65103	C₂²	semidirect
159. #65102	C₂²	semidirect
160. #65097	C₂²	semidirect
161. #65096	C₂²	semidirect
162. #65095	C₂²	semidirect
163. #65091	C₂²	semidirect
164. #65091	C₂²	semidirect
165. #65083	C₂²	semidirect
166. #65082	C₂²	semidirect
167. #65081	C₂²	semidirect
168. #65081	C₂²	semidirect
169. #65080	C₂²	semidirect
170. #65078	C₂²	semidirect
171. #65076	C₂²	semidirect
172. #65073	C₂²	semidirect
173. #65072	C₂²	semidirect
174. #65071	C₂²	semidirect
175. #65070	C₂²	semidirect
176. #65069	C₂²	semidirect
177. #65068	C₂²	semidirect
178. #65061	C₂²	semidirect
179. #65061	C₂²	semidirect
180. #65056	C₂²	semidirect
181. #65054	C₂²	semidirect
182. #65054	C₂²	semidirect
183. #65050	C₂²	semidirect
184. #65048	C₂²	semidirect
185. #65047	C₂²	semidirect
186. #65045	C₂²	semidirect
187. #65028	C₂²	semidirect
188. #65027	C₂²	semidirect
189. #65025	C₂²	semidirect
193. #65018	C₂²	semidirect
195. #65017	C₂²	semidirect
196. #65016	C₂²	semidirect
197. #65016	C₂²	semidirect
198. #65012	C₂²	semidirect
199. #65012	C₂²	semidirect
200. #65010	C₂²	semidirect
201. #65009	C₂²	semidirect
202. #65009	C₂²	semidirect
520. #3002	D₅	semidirect
768. C₂²×#41	C₂×D₅	semidirect
882. #452	C₂×D₅	semidirect
883. #452	C₂×D₅	semidirect
889. #451	C₂×D₅	semidirect
891. #450	C₂×D₅	semidirect
932. #416	C₂×D₅	semidirect
933. #416	C₂×D₅	semidirect
937. C₂×C₂²⋊C₈	C₂×D₅	semidirect
1800. C₅	#61627	semidirect

Maximal subgroups

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

subgroup	index
#10619165	2
#10617933	2
C₅×#3002	2
#10615812	2
#10615656	2
#10615652	2
#10615651	2
#10615650	2
#10614666	2
#10611968	2
#10611961	2
#10611955	2
#10611949	2
#10611940	2
#10611931	2
#10611901	2
#10611893	2
#10611824	2
#10611817	2
#10611811	2
#10611806	2
#10611792	2
#10611787	2
#10611754	2
#10611750	2
#10610591	2
#10610587	2
#10610581	2
#10610580	2
#10610349	2
#10610335	2
#61627	5