Subgroups — #12976489

Order 1280.

2182 conjugacy classes of subgroups.

The subgroup lattice has 1872 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	D₅×#555	C₂	1	1	yes	maximal, characteristic, complemented
2	#10618611	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#3321	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615384	C₂	1	1	yes	maximal, characteristic, complemented
5	#10615270	C₂	1	1	yes	maximal, characteristic, complemented
6	#10613433	C₂	1	1	yes	maximal, characteristic, complemented
7	#10613414	C₂	1	1	yes	maximal, characteristic, complemented
8	#10613276	C₂	1	1	yes	maximal, characteristic, complemented
9	#10613247	C₂	1	1	yes	maximal, characteristic, complemented
10	#10613135	C₂	1	1	yes	maximal, characteristic, complemented
11	#10613103	C₂	1	1	yes	maximal, characteristic, complemented
12	#10612756	C₂	1	1	yes	maximal, characteristic, complemented
13	#10612743	C₂	1	1	yes	maximal, characteristic, complemented
14	#10612615	C₂	1	1	yes	maximal, characteristic, complemented
15	#10612595	C₂	1	1	yes	maximal, characteristic, complemented
16	#10612413	C₂	1	1	yes	maximal, characteristic, complemented
17	#10612388	C₂	1	1	yes	maximal, characteristic, complemented
18	#10612294	C₂	1	1	yes	maximal, characteristic, complemented
19	#10612265	C₂	1	1	yes	maximal, characteristic, complemented
20	#10611836	C₂	1	1	yes	maximal, characteristic, complemented
21	#10611815	C₂	1	1	yes	maximal, characteristic, complemented
22	#10611787	C₂	1	1	yes	maximal, characteristic, complemented
23	#10611771	C₂	1	1	yes	maximal, characteristic, complemented
24	#10611536	C₂	1	1	yes	maximal, characteristic, complemented
25	#10611504	C₂	1	1	yes	maximal, characteristic, complemented
26	#10611237	C₂	1	1	yes	maximal, characteristic, complemented
27	#10611214	C₂	1	1	yes	maximal, characteristic, complemented
28	#10610704	C₂	1	1	yes	maximal, characteristic, complemented
29	#10610687	C₂	1	1	yes	maximal, characteristic, complemented
30	#10610583	C₂	1	1	yes	maximal, characteristic, complemented
31	#10610561	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×D₅×#41	C₂²	1	1	yes	characteristic
33	C₂²×#713	C₂²	1	1	yes	characteristic
34	C₅×#555	C₂²	1	1	yes	characteristic, complemented
35	C₅×#548	C₂²	1	1	yes	characteristic, complemented
36	#66168	C₂²	1	1	yes	characteristic, complemented
37	Q₈×C₂²⋊D₅	C₂²	1	1	yes	characteristic, complemented
38	C₂×#4060	C₂²	1	1	yes	characteristic
39	C₂×#4060	C₂²	1	1	yes	characteristic, complemented
40	C₂×#4057	C₂²	1	1	yes	characteristic, complemented
41	C₂×D₅×M₁₆	C₂²	1	1	yes	characteristic, complemented
42	C₂²×#676	C₂²	1	1	yes	characteristic, complemented
43	#66068	C₂²	1	1	yes	characteristic, complemented
44	D₅×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
45	#66010	—	2	1	no	—
46	#66010	C₂²	1	1	yes	characteristic, complemented
47	D₅×#124	—	2	1	no	—
48	D₅×#124	—	2	1	no	—
49	#66004	—	2	1	no	—
50	#66004	—	2	1	no	—
51	#66002	—	2	1	no	—
52	#66002	C₂²	1	1	yes	characteristic
53	#65965	—	2	1	no	—
54	#65965	C₂²	1	1	yes	characteristic, complemented
55	#65961	—	2	1	no	—
56	#65961	C₂²	1	1	yes	characteristic
57	#65950	—	2	1	no	—
58	#65950	C₂²	1	1	yes	characteristic
59	#65950	C₂²	1	1	yes	characteristic, complemented
60	#65943	—	2	1	no	—
61	#65943	C₂²	1	1	yes	characteristic, complemented
62	#65940	—	2	1	no	—
63	#65940	C₂²	1	1	yes	characteristic
64	D₅×#121	—	2	1	no	—
65	D₅×#121	C₂²	1	1	yes	characteristic, complemented
66	D₅×#121	C₂²	1	1	yes	characteristic, complemented
67	#65910	C₂²	1	1	yes	characteristic, complemented
68	C₄×#713	C₂²	1	1	yes	characteristic
69	#65897	C₂²	1	1	yes	characteristic, complemented
70	#65897	C₂²	1	1	yes	characteristic, complemented
71	#65884	—	2	1	no	—
72	#65884	C₂²	1	1	yes	characteristic, complemented
73	C₄×D₄×D₅	—	2	1	no	—
74	C₄×D₄×D₅	C₂²	1	1	yes	characteristic
75	C₄×D₄×D₅	C₂²	1	1	yes	characteristic, complemented
76	#65866	—	2	1	no	—
77	#65866	C₂²	1	1	yes	characteristic
78	#65866	C₂²	1	1	yes	characteristic, complemented
79	D₅×#117	—	2	1	no	—
80	D₅×#117	C₂²	1	1	yes	characteristic, complemented
81	D₅×#117	C₂²	1	1	yes	characteristic, complemented
82	C₅×#489	C₂²	1	1	yes	characteristic, complemented
83	C₅×#485	C₂²	1	1	yes	characteristic, complemented
84	C₅×#482	C₂²	1	1	yes	characteristic, complemented
85	C₅×#475	C₂²	1	1	yes	characteristic, complemented
86	C₅×#469	C₂²	1	1	yes	characteristic, complemented
87	C₅×#465	C₂²	1	1	yes	characteristic, complemented
88	C₅×#463	C₂²	1	1	yes	characteristic, complemented
89	C₅×#449	C₂²	1	1	yes	characteristic, complemented
90	C₅×#448	C₂²	1	1	yes	characteristic, complemented
91	C₅×#440	C₂²	1	1	yes	characteristic, complemented
92	C₅×#435	C₂²	1	1	yes	characteristic, complemented
93	C₅×#419	C₂²	1	1	yes	characteristic, complemented
94	C₅×#416	C₂²	1	1	yes	characteristic, complemented
95	#65527	C₂²	1	1	yes	characteristic, complemented
96	#65522	C₂²	1	1	yes	characteristic, complemented
97	#65516	C₂²	1	1	yes	characteristic, complemented
98	#65514	C₂²	1	1	yes	characteristic, complemented
99	#65463	C₂²	1	1	yes	characteristic, complemented
100	#65461	C₂²	1	1	yes	characteristic, complemented
101	#65461	C₂²	1	1	yes	characteristic, complemented
102	#65459	C₂²	1	1	yes	characteristic, complemented
103	#65451	C₂²	1	1	yes	characteristic, complemented
104	SD₁₆×Dic₅	C₂²	1	1	yes	characteristic, complemented
105	#65446	C₂²	1	1	yes	characteristic, complemented
106	#65445	C₂²	1	1	yes	characteristic, complemented
107	#65439	C₂²	1	1	yes	characteristic, complemented
108	#65423	C₂²	1	1	yes	characteristic, complemented
109	#65420	C₂²	1	1	yes	characteristic, complemented
110	#65417	C₂²	1	1	yes	characteristic, complemented
111	#65404	C₂²	1	1	yes	characteristic, complemented
112	#65402	C₂²	1	1	yes	characteristic, complemented
113	C₈×C₂²⋊D₅	C₂²	1	1	yes	characteristic, complemented
114	#65378	C₂²	1	1	yes	characteristic, complemented
115	#65376	C₂²	1	1	yes	characteristic, complemented
116	#65346	C₂²	1	1	yes	characteristic, complemented
117	#65344	C₂²	1	1	yes	characteristic, complemented
118	#65337	C₂²	1	1	yes	characteristic, complemented
119	#65334	C₂²	1	1	yes	characteristic, complemented
120	#65331	C₂²	1	1	yes	characteristic, complemented
121	#65328	C₂²	1	1	yes	characteristic, complemented
122	#65327	C₂²	1	1	yes	characteristic, complemented
123	#65326	C₂²	1	1	yes	characteristic, complemented
124	#65325	C₂²	1	1	yes	characteristic, complemented
125	#65324	C₂²	1	1	yes	characteristic, complemented
126	#65315	C₂²	1	1	yes	characteristic, complemented
127	#65309	C₂²	1	1	yes	characteristic, complemented
128	#65305	C₂²	1	1	yes	characteristic, complemented
129	#65303	C₂²	1	1	yes	characteristic, complemented
130	#65300	C₂²	1	1	yes	characteristic, complemented
131	#65292	C₂²	1	1	yes	characteristic, complemented
132	#65291	C₂²	1	1	yes	characteristic, complemented
133	#65290	C₂²	1	1	yes	characteristic, complemented
134	#65285	C₂²	1	1	yes	characteristic, complemented
135	#65177	C₂²	1	1	yes	characteristic, complemented
136	#65174	C₂²	1	1	yes	characteristic, complemented
137	#65170	C₂²	1	1	yes	characteristic, complemented
138	#65161	C₂²	1	1	yes	characteristic, complemented
139	#65159	C₂²	1	1	yes	characteristic, complemented
140	#65159	C₂²	1	1	yes	characteristic, complemented
141	#65156	C₂²	1	1	yes	characteristic, complemented
142	#65155	C₂²	1	1	yes	characteristic, complemented
143	#65154	C₂²	1	1	yes	characteristic, complemented
144	#65153	C₂²	1	1	yes	characteristic, complemented
145	#65150	C₂²	1	1	yes	characteristic, complemented
146	#65150	C₂²	1	1	yes	characteristic, complemented
147	#65135	C₂²	1	1	yes	characteristic, complemented
148	#65133	C₂²	1	1	yes	characteristic, complemented
149	#65126	C₂²	1	1	yes	characteristic, complemented
150	#65125	C₂²	1	1	yes	characteristic, complemented
151	#65107	C₂²	1	1	yes	characteristic, complemented
152	#65104	C₂²	1	1	yes	characteristic, complemented
153	#65103	C₂²	1	1	yes	characteristic, complemented
154	#65101	C₂²	1	1	yes	characteristic, complemented
155	#65100	C₂²	1	1	yes	characteristic, complemented
156	#65100	C₂²	1	1	yes	characteristic, complemented
157	#65095	C₂²	1	1	yes	characteristic, complemented
158	#65093	C₂²	1	1	yes	characteristic, complemented
159	#65093	C₂²	1	1	yes	characteristic, complemented
160	#65093	C₂²	1	1	yes	characteristic, complemented
161	#65093	C₂²	1	1	yes	characteristic, complemented
162	#65092	C₂²	1	1	yes	characteristic
163	#65092	C₂²	1	1	yes	characteristic
164	#65092	C₂²	1	1	yes	characteristic
165	#65092	C₂²	1	1	yes	characteristic, complemented
166	#65092	C₂²	1	1	yes	characteristic, complemented
167	#65092	C₂²	1	1	yes	characteristic, complemented
168	#65091	C₂²	1	1	yes	characteristic, complemented
169	#65091	C₂²	1	1	yes	characteristic, complemented
170	#65083	C₂²	1	1	yes	characteristic, complemented
171	#65083	C₂²	1	1	yes	characteristic, complemented
172	#65081	C₂²	1	1	yes	characteristic, complemented
173	#65081	C₂²	1	1	yes	characteristic, complemented
174	#65077	C₂²	1	1	yes	characteristic, complemented
175	#65075	C₂²	1	1	yes	characteristic, complemented
176	#65073	C₂²	1	1	yes	characteristic, complemented
177	#65071	C₂²	1	1	yes	characteristic, complemented
178	#65068	C₂²	1	1	yes	characteristic, complemented
179	#65067	C₂²	1	1	yes	characteristic, complemented
180	#65064	C₂²	1	1	yes	characteristic, complemented
181	#65062	C₂²	1	1	yes	characteristic, complemented
182	#65060	C₂²	1	1	yes	characteristic, complemented
183	#65060	C₂²	1	1	yes	characteristic, complemented
184	#65060	C₂²	1	1	yes	characteristic, complemented
185	#65059	C₂²	1	1	yes	characteristic, complemented
186	#65059	C₂²	1	1	yes	characteristic, complemented
187	#65059	C₂²	1	1	yes	characteristic, complemented
188	#65049	C₂²	1	1	yes	characteristic, complemented
189	#65049	C₂²	1	1	yes	characteristic, complemented
190	#65045	C₂²	1	1	yes	characteristic, complemented
191	#65026	C₂²	1	1	yes	characteristic, complemented
192	#65023	C₂²	1	1	yes	characteristic, complemented
193	#65021	C₂²	1	1	yes	characteristic, complemented
194	#65018	C₂²	1	1	yes	characteristic, complemented
195	#65015	C₂²	1	1	yes	characteristic, complemented
196	#65015	C₂²	1	1	yes	characteristic, complemented
197	#65014	C₂²	1	1	yes	characteristic, complemented
198	#65012	C₂²	1	1	yes	characteristic, complemented
199	#65003	C₂²	1	1	yes	characteristic, complemented
200	#65000	C₂²	1	1	yes	characteristic, complemented
201	#64996	C₂²	1	1	yes	characteristic, complemented
202	#64995	C₂²	1	1	yes	characteristic, complemented
203	#61166	—	5	1	no	maximal, Sylow
204	C₂×C₅×#41	C₂³	1	1	yes	characteristic
205	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
206	D₅×#41	—	2	4	no	—
207	D₅×#41	—	4	2	no	—
208	C₂×#713	—	2	1	no	—
209	C₂×#713	—	2	1	no	—
210	C₂×#713	—	2	4	no	—
211	C₂×#713	—	4	2	no	—
212	C₂×#713	C₂³	1	1	yes	characteristic
213	C₂×#713	C₂³	1	1	yes	characteristic
214	C₂×#713	C₂³	1	1	yes	characteristic
215	C₂×#713	C₂³	1	1	yes	characteristic
216	C₂×Q₈×D₅	—	2	1	no	—
217	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
218	C₂×#711	—	2	1	no	—
219	C₂×#711	C₂³	1	1	yes	characteristic
220	C₂×D₄×D₅	—	2	1	no	—
221	C₂×D₄×D₅	—	2	1	no	—
222	C₂×D₄×D₅	—	2	1	no	—
223	C₂×D₄×D₅	—	2	1	no	—
224	C₂×D₄×D₅	D₄	1	1	yes	characteristic
225	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
226	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
227	C₂×#709	—	2	1	no	—
228	C₂×#709	C₂³	1	1	yes	characteristic
229	C₂²×D₂₀	—	2	1	no	—
230	C₂²×D₂₀	C₂³	1	1	yes	characteristic
231	C₂²×C₄×D₅	—	2	1	no	—
232	C₂²×C₄×D₅	—	2	1	no	—
233	C₂²×C₄×D₅	—	2	1	no	—
234	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
235	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
236	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
237	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
238	C₂×C₅×D₈	C₂³	1	1	yes	characteristic
239	C₂×C₅×M₁₆	C₂³	1	1	yes	characteristic
240	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
241	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
242	C₅×#124	—	2	1	no	—
243	C₅×#124	—	2	1	no	—
244	C₅×#124	—	2	1	no	—
245	C₅×#124	C₂³	1	1	yes	characteristic
246	C₅×C₂²⋊Q₈	—	2	1	no	—
247	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
248	C₅×#121	—	2	1	no	—
249	C₅×#121	—	2	1	no	—
250	C₅×#121	C₂³	1	1	yes	characteristic
251	C₅×#121	C₂³	1	1	yes	characteristic
252	C₅×#121	C₂³	1	1	yes	characteristic
253	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
254	C₄×C₅×D₄	—	2	1	no	—
255	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
256	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
257	C₅×#117	—	2	1	no	—
258	C₅×#117	C₂³	1	1	yes	characteristic
259	C₅×#117	C₂³	1	1	yes	characteristic
260	#4093	—	2	1	no	—
261	#4093	—	2	1	no	—
262	#4092	—	2	1	no	—
263	#4092	C₂³	1	1	yes	characteristic
264	Q₈×Dic₅	C₂³	1	1	yes	characteristic
265	#4090	—	2	1	no	—
266	#4090	—	2	1	no	—
267	#4090	C₂³	1	1	yes	characteristic
268	C₂×#688	C₂³	1	1	yes	characteristic
269	C₂×#688	C₂³	1	1	yes	characteristic
270	#4086	—	2	1	no	—
271	#4086	C₂³	1	1	yes	characteristic
272	#4085	—	2	1	no	—
273	#4085	—	2	1	no	—
274	#4085	—	2	1	no	—
275	#4085	—	2	1	no	—
276	#4084	—	2	1	no	—
277	#4084	—	2	1	no	—
278	#4084	C₂³	1	1	yes	characteristic
279	#4084	C₂³	1	1	yes	characteristic
280	#4084	C₂³	1	1	yes	characteristic
281	#4083	—	2	1	no	—
282	#4083	—	2	1	no	—
283	#4083	—	2	1	no	—
284	#4082	—	2	1	no	—
285	#4082	—	2	1	no	—
286	D₄×Dic₅	—	2	1	no	—
287	D₄×Dic₅	D₄	1	1	yes	characteristic
288	D₄×Dic₅	C₂³	1	1	yes	characteristic
289	C₂×#687	C₂³	1	1	yes	characteristic
290	C₂×#686	C₂³	1	1	yes	characteristic
291	C₂×#686	C₂³	1	1	yes	characteristic
292	C₂×#686	C₂³	1	1	yes	characteristic
293	#4076	—	2	1	no	—
294	#4076	—	2	1	no	—
295	#4076	C₂³	1	1	yes	characteristic
296	#4076	C₂³	1	1	yes	characteristic
297	#4076	C₂³	1	1	yes	characteristic
298	C₄×C₂²⋊D₅	—	2	1	no	—
299	C₄×C₂²⋊D₅	—	2	1	no	—
300	C₄×C₂²⋊D₅	—	2	1	no	—
301	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
302	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
303	#4072	—	2	1	no	—
304	#4072	C₂³	1	1	yes	characteristic
305	#4072	C₂³	1	1	yes	characteristic
306	#4070	—	2	1	no	—
307	#4070	C₂³	1	1	yes	characteristic
308	C₂×#681	C₂³	1	1	yes	characteristic
309	C₂²×#168	C₂³	1	1	yes	characteristic
310	#4060	—	2	4	no	—
311	#4060	—	4	2	no	—
312	#4057	—	4	2	no	—
313	D₅×M₁₆	—	4	2	no	—
314	C₂×D₄₀	C₂³	1	1	yes	characteristic
315	C₂×D₄₀	C₂³	1	1	yes	characteristic
316	C₂×#677	C₂³	1	1	yes	characteristic
317	C₂×#676	—	4	2	no	—
318	C₂×#676	C₂³	1	1	yes	characteristic
319	C₂×#676	C₂³	1	1	yes	characteristic
320	C₂×#676	C₂³	1	1	yes	characteristic
321	C₂×#676	C₂³	1	1	yes	characteristic
322	C₂×#676	C₂³	1	1	yes	characteristic
323	C₂×#676	C₂³	1	1	yes	characteristic
324	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
325	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
326	#4043	—	2	1	no	—
327	#4043	C₂³	1	1	yes	characteristic
328	#4041	—	2	1	no	—
329	#4041	—	2	1	no	—
330	#4041	C₂³	1	1	yes	characteristic
331	#4041	C₂³	1	1	yes	characteristic
332	#4041	C₂³	1	1	yes	characteristic
333	#4040	—	2	1	no	—
334	#4040	—	2	1	no	—
335	#4040	—	2	1	no	—
336	#4039	—	2	1	no	—
337	#4039	—	2	1	no	—
338	#4039	D₄	1	1	yes	characteristic
339	#4039	C₂³	1	1	yes	characteristic
340	#4039	C₂³	1	1	yes	characteristic
341	#4038	—	2	1	no	—
342	#4038	—	2	1	no	—
343	#4038	—	2	1	no	—
344	#4038	C₂³	1	1	yes	characteristic
345	#4038	C₂³	1	1	yes	characteristic
346	#4038	C₂³	1	1	yes	characteristic
347	#4038	C₂³	1	1	yes	characteristic
348	#4038	C₂³	1	1	yes	characteristic
349	D₅×C₄⋊C₄	—	2	1	no	—
350	D₅×C₄⋊C₄	—	2	1	no	—
351	D₅×C₄⋊C₄	D₄	1	1	yes	characteristic
352	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
353	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
354	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
355	#4034	—	2	1	no	—
356	#4034	C₂³	1	1	yes	characteristic
357	#4034	C₂³	1	1	yes	characteristic
358	#4031	—	2	1	no	—
359	#4031	—	2	1	no	—
360	#4031	—	2	1	no	—
361	#4031	—	2	1	no	—
362	#4031	—	2	1	no	—
363	#4031	—	2	1	no	—
364	#4031	—	2	1	no	—
365	#4031	—	2	1	no	—
366	#4030	—	2	1	no	—
367	#4030	—	2	1	no	—
368	#4030	—	2	1	no	—
369	#4030	—	2	1	no	—
370	#4030	—	2	1	no	—
371	#4030	—	2	1	no	—
372	#4030	—	2	1	no	—
373	#4030	—	2	1	no	—
374	#4030	—	2	1	no	—
375	#4030	—	2	1	no	—
376	#4029	—	2	1	no	—
377	#4029	—	2	1	no	—
378	#4029	—	2	1	no	—
379	#4028	—	2	1	no	—
380	#4028	—	2	1	no	—
381	#4028	—	2	1	no	—
382	#4027	—	2	1	no	—
383	#4027	—	2	1	no	—
384	#4027	—	2	1	no	—
385	#4027	—	2	1	no	—
386	#4027	—	2	1	no	—
387	#4027	D₄	1	1	yes	characteristic
388	#4027	D₄	1	1	yes	characteristic
389	D₅×C₂²⋊C₄	—	2	1	no	—
390	D₅×C₂²⋊C₄	—	2	1	no	—
391	D₅×C₂²⋊C₄	—	2	1	no	—
392	D₅×C₂²⋊C₄	—	2	1	no	—
393	D₅×C₂²⋊C₄	—	2	1	no	—
394	D₅×C₂²⋊C₄	—	2	1	no	—
395	D₅×C₂²⋊C₄	—	2	1	no	—
396	D₅×C₂²⋊C₄	D₄	1	1	yes	characteristic
397	D₅×C₂²⋊C₄	D₄	1	1	yes	characteristic
398	#4023	—	2	1	no	—
399	#4023	—	2	1	no	—
400	#4023	—	2	1	no	—
401	#4023	—	2	1	no	—
402	#4021	—	2	1	no	—
403	#4021	—	2	1	no	—
404	#4021	—	2	1	no	—
405	#4021	C₂³	1	1	yes	characteristic
406	C₄×D₂₀	—	2	1	no	—
407	C₄×D₂₀	—	2	1	no	—
408	C₄×D₂₀	C₂³	1	1	yes	characteristic
409	C₄×D₂₀	C₂³	1	1	yes	characteristic
410	C₄×D₂₀	C₂³	1	1	yes	characteristic
411	#4018	—	2	1	no	—
412	#4018	—	2	1	no	—
413	#4018	—	2	1	no	—
414	#4018	—	2	1	no	—
415	C₄²×D₅	—	2	1	no	—
416	C₄²×D₅	—	2	1	no	—
417	C₄²×D₅	—	2	1	no	—
418	C₄²×D₅	C₂³	1	1	yes	characteristic
419	#4015	C₂³	1	1	yes	characteristic
420	C₅×#107	C₂³	1	1	yes	characteristic
421	C₅×#106	C₂³	1	1	yes	characteristic
422	C₅×#106	C₂³	1	1	yes	characteristic
423	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
424	C₅×#103	C₂³	1	1	yes	characteristic
425	C₅×#103	C₂³	1	1	yes	characteristic
426	C₅×#103	C₂³	1	1	yes	characteristic
427	C₅×#103	C₂³	1	1	yes	characteristic
428	C₅×#103	C₂³	1	1	yes	characteristic
429	C₅×#103	C₂³	1	1	yes	characteristic
430	C₅×#102	C₂³	1	1	yes	characteristic
431	C₅×#102	C₂³	1	1	yes	characteristic
432	C₅×#102	C₂³	1	1	yes	characteristic
433	C₅×#102	C₂³	1	1	yes	characteristic
434	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
435	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
436	C₅×#97	C₂³	1	1	yes	characteristic
437	#3967	C₂³	1	1	yes	characteristic
438	#3967	C₂³	1	1	yes	characteristic
439	#3967	C₂³	1	1	yes	characteristic
440	#3967	C₂³	1	1	yes	characteristic
441	#3967	C₂³	1	1	yes	characteristic
442	#3967	C₂³	1	1	yes	characteristic
443	#3964	C₂³	1	1	yes	characteristic
444	#3964	C₂³	1	1	yes	characteristic
445	#3964	C₂³	1	1	yes	characteristic
446	#3964	C₂³	1	1	yes	characteristic
447	C₂²⋊#168	C₂³	1	1	yes	characteristic
448	C₂²⋊#168	C₂³	1	1	yes	characteristic
449	#3953	C₂³	1	1	yes	characteristic
450	#3953	C₂³	1	1	yes	characteristic
451	#3953	C₂³	1	1	yes	characteristic
452	#3953	C₂³	1	1	yes	characteristic
453	#3953	C₂³	1	1	yes	characteristic
454	#3953	C₂³	1	1	yes	characteristic
455	#3953	C₂³	1	1	yes	characteristic
456	#3952	C₂³	1	1	yes	characteristic
457	#3952	C₂³	1	1	yes	characteristic
458	#3952	C₂³	1	1	yes	characteristic
459	#3952	C₂³	1	1	yes	characteristic
460	#3950	C₂³	1	1	yes	characteristic
461	#3950	C₂³	1	1	yes	characteristic
462	#3949	C₂³	1	1	yes	characteristic
463	#3948	C₂³	1	1	yes	characteristic
464	#3948	C₂³	1	1	yes	characteristic
465	#3948	C₂³	1	1	yes	characteristic
466	#3946	C₂³	1	1	yes	characteristic
467	#3946	C₂³	1	1	yes	characteristic
468	C₈×Dic₅	C₂³	1	1	yes	characteristic
469	C₈×Dic₅	C₂³	1	1	yes	characteristic
470	#3942	C₂³	1	1	yes	characteristic
471	#3942	C₂³	1	1	yes	characteristic
472	#3942	C₂³	1	1	yes	characteristic
473	#3941	C₂³	1	1	yes	characteristic
474	#3941	C₂³	1	1	yes	characteristic
475	#3941	C₂³	1	1	yes	characteristic
476	#3941	C₂³	1	1	yes	characteristic
477	#3941	C₂³	1	1	yes	characteristic
478	#3941	C₂³	1	1	yes	characteristic
479	#3941	C₂³	1	1	yes	characteristic
480	#3940	C₂³	1	1	yes	characteristic
481	#3940	C₂³	1	1	yes	characteristic
482	#3940	C₂³	1	1	yes	characteristic
483	#3939	C₂³	1	1	yes	characteristic
484	#3939	C₂³	1	1	yes	characteristic
485	#3939	C₂³	1	1	yes	characteristic
486	C₄⋊#168	C₂³	1	1	yes	characteristic
487	#3935	C₂³	1	1	yes	characteristic
488	C₂×#555	—	5	1	no	—
489	D₄×#41	—	5	1	no	—
490	#3329	—	5	1	no	—
491	#3329	—	5	1	no	—
492	#3325	—	5	1	no	—
493	#3325	—	5	1	no	—
494	#3321	—	5	1	no	—
495	#3321	—	5	1	no	—
496	#3321	—	5	1	no	—
497	#3321	D₅	1	1	yes	characteristic, complemented
498	#3319	—	5	1	no	—
499	#3319	—	5	1	no	—
500	#3319	—	5	1	no	—
501	#3319	—	5	1	no	—
502	#3305	—	5	1	no	—
503	#3305	—	5	1	no	—
504	#3303	—	5	1	no	—
505	#3303	—	5	1	no	—
506	#3141	—	5	1	no	—
507	#3093	—	5	1	no	—
508	#3093	—	5	1	no	—
509	#3079	—	5	1	no	—
510	#3055	—	5	1	no	—
511	#3055	—	5	1	no	—
512	#3036	—	5	1	no	—
513	#3006	—	5	1	no	—
514	#3006	—	5	1	no	—
515	C₄×AGL(1,ℤ/8)	—	5	1	no	—
516	D₄×M₁₆	—	5	1	no	—
517	#2896	—	5	1	no	—
518	#2896	—	5	1	no	—
519	C₂³×D₅	—	2	1	no	—
520	C₂³×D₅	—	2	1	no	—
521	C₂³×D₅	—	2	1	no	—
522	C₂³×D₅	C₂×D₄	1	1	yes	characteristic
523	C₂³×D₅	C₂×D₄	1	1	yes	characteristic
524	C₅×#41	—	2	2	no	—
525	C₅×#41	—	4	1	no	—
526	C₂×C₅×Q₈	—	2	1	no	—
527	C₂×C₅×Q₈	—	2	1	no	—
528	C₂×C₅×Q₈	—	2	2	no	—
529	C₂×C₅×Q₈	—	4	1	no	—
530	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
531	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
532	C₂×C₅×D₄	—	2	1	no	—
533	C₂×C₅×D₄	—	2	1	no	—
534	C₂×C₅×D₄	—	2	1	no	—
535	C₂×C₅×D₄	—	2	1	no	—
536	C₂×C₅×D₄	C₂×D₄	1	1	yes	characteristic
537	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
538	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
539	C₂²×C₄×C₅	—	2	1	no	—
540	C₂²×C₄×C₅	—	2	1	no	—
541	C₂²×C₄×C₅	—	2	1	no	—
542	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
543	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
544	C₂×C₂²⋊D₅	—	2	1	no	—
545	C₂×C₂²⋊D₅	—	2	1	no	—
546	C₂×C₂²⋊D₅	—	2	1	no	—
547	C₂×C₂²⋊D₅	—	2	1	no	—
548	C₂×C₂²⋊D₅	—	2	1	no	—
549	C₂×C₂²⋊D₅	—	2	1	no	—
550	C₂×C₂²⋊D₅	—	2	1	no	—
551	C₂×C₂²⋊D₅	—	2	1	no	—
552	C₂×C₂²⋊D₅	—	2	1	no	—
553	C₂×C₂²⋊D₅	—	2	1	no	—
554	C₂×C₂²⋊D₅	—	2	1	no	—
555	C₂×C₂²⋊D₅	—	2	1	no	—
556	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
557	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
558	C₂²×Dic₅	—	2	1	no	—
559	C₂²×Dic₅	—	2	1	no	—
560	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
561	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
562	#713	—	2	2	no	—
563	#713	—	2	2	no	—
564	#713	—	2	2	no	—
565	#713	—	2	2	no	—
566	#713	—	2	2	no	—
567	#713	—	4	4	no	—
568	#713	—	4	1	no	—
569	#713	—	4	1	no	—
570	#713	—	4	4	no	—
571	#713	#41	1	4	yes	—
572	Q₈×D₅	—	2	2	no	—
573	Q₈×D₅	—	4	1	no	—
574	Q₈×D₅	—	8	2	no	—
575	#711	—	2	2	no	—
576	#711	—	2	2	no	—
577	#711	—	4	4	no	—
578	D₄×D₅	—	2	2	no	—
579	D₄×D₅	—	2	2	no	—
580	D₄×D₅	—	2	2	no	—
581	D₄×D₅	—	4	1	no	—
582	D₄×D₅	—	4	2	no	—
583	D₄×D₅	—	4	4	no	—
584	D₄×D₅	—	4	4	no	—
585	D₄×D₅	—	8	2	no	—
586	D₄×D₅	—	8	2	no	—
587	#709	—	2	2	no	—
588	#709	—	4	1	no	—
589	#709	—	4	4	no	—
590	C₂×D₂₀	—	2	1	no	—
591	C₂×D₂₀	—	2	2	no	—
592	C₂×D₂₀	—	2	1	no	—
593	C₂×D₂₀	—	2	1	no	—
594	C₂×D₂₀	—	2	1	no	—
595	C₂×D₂₀	—	2	1	no	—
596	C₂×D₂₀	—	2	1	no	—
597	C₂×D₂₀	—	2	1	no	—
598	C₂×D₂₀	—	2	1	no	—
599	C₂×D₂₀	—	4	1	no	—
600	C₂×D₂₀	—	4	4	no	—
601	C₂×D₂₀	C₂×D₄	1	1	yes	characteristic
602	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
603	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
604	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
605	C₂×C₄×D₅	—	2	1	no	—
606	C₂×C₄×D₅	—	2	2	no	—
607	C₂×C₄×D₅	—	2	2	no	—
608	C₂×C₄×D₅	—	2	2	no	—
609	C₂×C₄×D₅	—	2	2	no	—
610	C₂×C₄×D₅	—	2	1	no	—
611	C₂×C₄×D₅	—	2	1	no	—
612	C₂×C₄×D₅	—	2	1	no	—
613	C₂×C₄×D₅	—	2	1	no	—
614	C₂×C₄×D₅	—	2	1	no	—
615	C₂×C₄×D₅	—	2	1	no	—
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	—	2	1	no	—
622	C₂×C₄×D₅	—	4	4	no	—
623	C₂×C₄×D₅	—	4	4	no	—
624	C₂×C₄×D₅	—	4	4	no	—
625	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
626	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
627	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
628	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
629	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
630	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
631	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
632	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
633	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
634	C₂×Dic₁₀	—	2	1	no	—
635	C₂×Dic₁₀	—	2	1	no	—
636	C₂×Dic₁₀	—	2	1	no	—
637	C₂×Dic₁₀	—	2	1	no	—
638	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
639	C₅×SD₁₆	—	2	2	no	—
640	C₅×SD₁₆	—	4	1	no	—
641	C₅×D₈	—	4	1	no	—
642	C₅×M₁₆	—	4	1	no	—
643	C₂×C₅×C₈	—	4	1	no	—
644	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
645	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
646	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
647	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
648	C₅×C₄⋊C₄	—	2	1	no	—
649	C₅×C₄⋊C₄	—	2	1	no	—
650	C₅×C₄⋊C₄	—	2	1	no	—
651	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
652	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
653	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
654	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
655	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
656	C₅×C₂²⋊C₄	—	2	1	no	—
657	C₅×C₂²⋊C₄	—	2	1	no	—
658	C₅×C₂²⋊C₄	—	2	1	no	—
659	C₅×C₂²⋊C₄	—	2	1	no	—
660	C₅×C₂²⋊C₄	—	2	1	no	—
661	C₅×C₂²⋊C₄	—	2	1	no	—
662	C₅×C₂²⋊C₄	—	2	1	no	—
663	C₅×C₂²⋊C₄	—	2	1	no	—
664	C₅×C₂²⋊C₄	—	2	1	no	—
665	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
666	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
667	C₄²×C₅	—	2	1	no	—
668	C₄²×C₅	—	2	1	no	—
669	C₄²×C₅	—	2	1	no	—
670	C₄²×C₅	C₂⁴	1	1	yes	characteristic
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	C₂×D₄	1	1	yes	characteristic
679	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
680	#688	—	2	2	no	—
681	#688	—	4	1	no	—
682	#687	—	4	1	no	—
683	#686	—	2	2	no	—
684	#686	—	4	1	no	—
685	#686	—	4	1	no	—
686	#685	—	2	1	no	—
687	#685	—	2	1	no	—
688	#685	—	2	1	no	—
689	#685	—	2	1	no	—
690	#685	—	2	1	no	—
691	#685	—	2	1	no	—
692	#685	—	2	1	no	—
693	#685	—	2	1	no	—
694	#685	—	2	1	no	—
695	#685	—	2	1	no	—
696	#685	—	2	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	C₂×D₄	1	1	yes	characteristic
706	#685	C₂×D₄	1	1	yes	characteristic
707	#685	C₂×D₄	1	1	yes	characteristic
708	#685	C₂×D₄	1	1	yes	characteristic
709	C₄⋊Dic₅	—	2	1	no	—
710	C₄⋊Dic₅	—	2	1	no	—
711	C₄⋊Dic₅	—	2	1	no	—
712	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
713	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
714	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
715	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
716	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
717	#683	—	2	1	no	—
718	#683	—	2	1	no	—
719	#683	—	2	1	no	—
720	#683	—	2	1	no	—
721	#683	—	2	1	no	—
722	#683	—	2	1	no	—
723	#683	—	2	1	no	—
724	#683	—	2	1	no	—
725	#683	—	2	1	no	—
726	#683	C₂×D₄	1	1	yes	characteristic
727	#683	C₂×D₄	1	1	yes	characteristic
728	C₄×Dic₅	—	2	1	no	—
729	C₄×Dic₅	—	2	1	no	—
730	C₄×Dic₅	—	2	1	no	—
731	C₄×Dic₅	—	2	1	no	—
732	C₄×Dic₅	—	2	1	no	—
733	C₄×Dic₅	—	2	1	no	—
734	C₄×Dic₅	—	2	1	no	—
735	C₄×Dic₅	—	2	1	no	—
736	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
737	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
738	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
739	#681	—	4	1	no	—
740	C₂×#168	—	4	1	no	—
741	C₂×#168	C₂⁴	1	1	yes	characteristic
742	C₂×#168	C₂⁴	1	1	yes	characteristic
743	C₂×#168	C₂⁴	1	1	yes	characteristic
744	C₂×#168	C₂⁴	1	1	yes	characteristic
745	D₄₀	—	2	2	no	—
746	D₄₀	—	4	1	no	—
747	#677	—	4	1	no	—
748	#676	—	2	2	no	—
749	#676	—	2	2	no	—
750	#676	—	2	2	no	—
751	#676	—	2	2	no	—
752	#676	—	4	1	no	—
753	#676	—	4	1	no	—
754	C₈×D₅	—	4	1	no	—
755	C₈×D₅	—	4	1	no	—
756	C₂²×#41	—	5	1	no	—
757	C₂²×#41	—	5	1	no	—
758	C₂×AGL(1,ℤ/8)	—	5	1	no	—
759	C₂×AGL(1,ℤ/8)	—	5	1	no	—
760	C₂×AGL(1,ℤ/8)	—	5	1	no	—
761	C₂²×M₁₆	—	5	1	no	—
762	C₂²×M₁₆	—	5	1	no	—
763	#555	—	5	1	no	—
764	#555	—	5	1	no	—
765	#555	—	5	1	no	—
766	#555	—	5	1	no	—
767	#555	—	5	1	no	—
768	#555	—	5	1	no	—
769	#555	—	5	1	no	—
770	#555	—	10	1	no	—
771	#555	—	10	1	no	—
772	#555	—	10	1	no	—
773	#555	—	10	1	no	—
774	#555	C₂×D₅	1	1	yes	characteristic, complemented
775	#550	—	5	1	no	—
776	D₄×Q₈	—	5	1	no	—
777	#548	—	5	1	no	—
778	#548	C₂×D₅	1	1	yes	characteristic, complemented
779	#547	—	5	1	no	—
780	#547	—	10	1	no	—
781	#546	—	5	1	no	—
782	#546	—	5	1	no	—
783	#546	—	10	1	no	—
784	#546	—	10	1	no	—
785	D₄²	—	5	1	no	—
786	D₄²	—	10	1	no	—
787	#532	—	5	1	no	—
788	#532	—	10	1	no	—
789	C₂×C₄⋊Q₈	—	5	1	no	—
790	C₂×#124	—	10	1	no	—
791	C₂×#124	—	10	1	no	—
792	#525	—	5	1	no	—
793	#525	—	5	1	no	—
794	#525	—	10	1	no	—
795	#525	—	10	1	no	—
796	C₂×#121	—	5	1	no	—
797	C₂×#121	—	5	1	no	—
798	C₂×#121	—	10	1	no	—
799	C₄×#41	—	5	1	no	—
800	C₂×C₄×D₄	—	5	1	no	—
801	C₂×C₄×D₄	—	5	1	no	—
802	C₂×C₄×D₄	—	10	1	no	—
803	C₂×#117	—	5	1	no	—
804	C₂×#117	—	5	1	no	—
805	C₂×#117	—	10	1	no	—
806	#489	—	5	1	no	—
807	#489	—	5	1	no	—
808	#489	—	5	1	no	—
809	#489	C₂×D₅	1	1	yes	characteristic, complemented
810	#487	—	5	1	no	—
811	#487	—	5	1	no	—
812	#486	—	5	1	no	—
813	#486	—	5	1	no	—
814	#485	—	5	1	no	—
815	#485	—	5	1	no	—
816	#485	—	5	1	no	—
817	#485	—	5	1	no	—
818	#485	—	5	1	no	—
819	#485	—	5	1	no	—
820	#485	—	5	1	no	—
821	#485	C₂×D₅	1	1	yes	characteristic, complemented
822	#482	—	5	1	no	—
823	#482	—	5	1	no	—
824	#482	—	5	1	no	—
825	#482	—	5	1	no	—
826	#482	—	5	1	no	—
827	#482	—	5	1	no	—
828	#482	—	5	1	no	—
829	#482	C₂×D₅	1	1	yes	characteristic, complemented
830	#477	—	5	1	no	—
831	#477	—	5	1	no	—
832	#476	—	5	1	no	—
833	#476	—	5	1	no	—
834	#475	—	5	1	no	—
835	#475	C₂×D₅	1	1	yes	characteristic, complemented
836	#474	—	5	1	no	—
837	#474	—	5	1	no	—
838	#469	—	5	1	no	—
839	#469	—	5	1	no	—
840	#469	—	5	1	no	—
841	#469	C₂×D₅	1	1	yes	characteristic, complemented
842	#468	—	5	1	no	—
843	#468	—	5	1	no	—
844	#468	—	5	1	no	—
845	#468	—	5	1	no	—
846	#466	—	5	1	no	—
847	#466	—	5	1	no	—
848	#466	—	5	1	no	—
849	#466	—	5	1	no	—
850	#465	—	5	1	no	—
851	#465	—	5	1	no	—
852	#465	—	5	1	no	—
853	#465	C₂×D₅	1	1	yes	characteristic, complemented
854	#463	—	5	1	no	—
855	#463	—	5	1	no	—
856	#463	—	5	1	no	—
857	#463	C₂×D₅	1	1	yes	characteristic, complemented
858	#461	—	5	1	no	—
859	#461	—	5	1	no	—
860	#459	—	5	1	no	—
861	#459	—	5	1	no	—
862	#449	—	5	1	no	—
863	#449	—	5	1	no	—
864	#449	—	5	1	no	—
865	#449	—	5	1	no	—
866	#449	—	5	1	no	—
867	#449	—	5	1	no	—
868	#449	—	5	1	no	—
869	#449	C₂×D₅	1	1	yes	characteristic, complemented
870	#448	—	5	1	no	—
871	#448	—	5	1	no	—
872	#448	—	5	1	no	—
873	#448	C₂×D₅	1	1	yes	characteristic, complemented
874	#447	—	5	1	no	—
875	#447	—	5	1	no	—
876	#447	—	5	1	no	—
877	#447	—	5	1	no	—
878	#442	—	5	1	no	—
879	#442	—	5	1	no	—
880	#440	—	5	1	no	—
881	#440	C₂×D₅	1	1	yes	characteristic, complemented
882	C₄×SD₁₆	—	5	1	no	—
883	C₄×SD₁₆	—	5	1	no	—
884	C₄×D₈	—	5	1	no	—
885	C₄×D₈	—	5	1	no	—
886	#436	—	5	1	no	—
887	#436	—	5	1	no	—
888	#435	—	5	1	no	—
889	#435	—	5	1	no	—
890	#435	—	5	1	no	—
891	#435	C₂×D₅	1	1	yes	characteristic, complemented
892	C₈×D₄	—	5	1	no	—
893	C₈×D₄	—	5	1	no	—
894	#428	—	5	1	no	—
895	#428	—	5	1	no	—
896	#428	—	5	1	no	—
897	#423	—	5	1	no	—
898	#419	—	5	1	no	—
899	#419	—	5	1	no	—
900	#419	—	5	1	no	—
901	#419	C₂×D₅	1	1	yes	characteristic, complemented
902	#418	—	5	1	no	—
903	#418	—	5	1	no	—
904	#418	—	5	1	no	—
905	#418	—	5	1	no	—
906	#418	—	5	1	no	—
907	#417	—	5	1	no	—
908	#417	—	5	1	no	—
909	#417	—	5	1	no	—
910	#417	—	5	1	no	—
911	#417	—	5	1	no	—
912	#417	—	5	1	no	—
913	#417	—	5	1	no	—
914	#417	—	5	1	no	—
915	#417	—	5	1	no	—
916	#416	—	5	1	no	—
917	#416	—	5	1	no	—
918	#416	—	5	1	no	—
919	#416	—	5	1	no	—
920	#416	—	5	1	no	—
921	#416	—	5	1	no	—
922	#416	—	5	1	no	—
923	#416	C₂×D₅	1	1	yes	characteristic, complemented
924	#407	—	5	1	no	—
925	#407	—	5	1	no	—
926	C₄×M₁₆	—	5	1	no	—
927	C₂³×C₅	—	2	1	no	—
928	C₂³×C₅	—	2	1	no	—
929	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
930	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
931	C₂²×D₅	—	2	1	no	—
932	C₂²×D₅	—	2	2	no	—
933	C₂²×D₅	—	2	2	no	—
934	C₂²×D₅	—	2	1	no	—
935	C₂²×D₅	—	2	1	no	—
936	C₂²×D₅	—	4	1	no	—
937	C₂²×D₅	—	4	1	no	—
938	C₂²×D₅	—	4	1	no	—
939	C₂²×D₅	—	4	1	no	—
940	C₂²×D₅	—	4	2	no	—
941	C₂²×D₅	—	4	2	no	—
942	C₂²×D₅	—	4	2	no	—
943	C₂²×D₅	—	4	2	no	—
944	C₂²×D₅	—	4	2	no	—
945	C₂²×D₅	—	4	2	no	—
946	C₂²×D₅	—	4	2	no	—
947	C₂²×D₅	—	8	1	no	—
948	C₂²×D₅	—	8	1	no	—
949	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
950	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
951	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
952	C₅×Q₈	—	2	1	no	—
953	C₅×Q₈	—	2	1	no	—
954	C₅×Q₈	—	2	1	no	—
955	C₅×Q₈	—	4	2	no	—
956	C₅×Q₈	—	8	1	no	—
957	C₅×Q₈	C₂×#41	1	2	yes	—
958	C₅×D₄	—	2	1	no	—
959	C₅×D₄	—	2	1	no	—
960	C₅×D₄	—	2	1	no	—
961	C₅×D₄	—	2	1	no	—
962	C₅×D₄	—	4	1	no	—
963	C₅×D₄	—	4	2	no	—
964	C₅×D₄	—	4	2	no	—
965	C₅×D₄	—	8	1	no	—
966	C₅×D₄	—	8	1	no	—
967	C₂×C₄×C₅	—	2	1	no	—
968	C₂×C₄×C₅	—	2	1	no	—
969	C₂×C₄×C₅	—	2	1	no	—
970	C₂×C₄×C₅	—	2	1	no	—
971	C₂×C₄×C₅	—	2	1	no	—
972	C₂×C₄×C₅	—	2	1	no	—
973	C₂×C₄×C₅	—	2	1	no	—
974	C₂×C₄×C₅	—	2	1	no	—
975	C₂×C₄×C₅	—	2	1	no	—
976	C₂×C₄×C₅	—	2	1	no	—
977	C₂×C₄×C₅	—	4	2	no	—
978	C₂×C₄×C₅	—	4	2	no	—
979	C₂×C₄×C₅	—	4	2	no	—
980	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
981	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
982	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
983	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
984	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
985	C₂²⋊D₅	—	2	2	no	—
986	C₂²⋊D₅	—	2	2	no	—
987	C₂²⋊D₅	—	4	2	no	—
988	C₂²⋊D₅	—	4	2	no	—
989	C₂²⋊D₅	—	4	2	no	—
990	C₂²⋊D₅	—	4	2	no	—
991	C₂²⋊D₅	—	4	2	no	—
992	C₂²⋊D₅	—	8	1	no	—
993	C₂²⋊D₅	—	8	1	no	—
994	C₂²⋊D₅	—	8	1	no	—
995	C₂²⋊D₅	—	8	1	no	—
996	C₂²⋊D₅	—	8	1	no	—
997	C₂²⋊D₅	—	8	1	no	—
998	C₂²⋊D₅	—	8	1	no	—
999	C₂×Dic₅	—	2	2	no	—
1000	C₂×Dic₅	—	2	2	no	—
1001	C₂×Dic₅	—	2	1	no	—
1002	C₂×Dic₅	—	2	1	no	—
1003	C₂×Dic₅	—	2	1	no	—
1004	C₂×Dic₅	—	2	1	no	—
1005	C₂×Dic₅	—	2	1	no	—
1006	C₂×Dic₅	—	4	2	no	—
1007	C₂×Dic₅	—	4	2	no	—
1008	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1009	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1010	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1011	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1012	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1013	D₂₀	—	2	4	no	—
1014	D₂₀	—	2	1	no	—
1015	D₂₀	—	2	1	no	—
1016	D₂₀	—	2	1	no	—
1017	D₂₀	—	2	1	no	—
1018	D₂₀	—	2	1	no	—
1019	D₂₀	—	4	1	no	—
1020	D₂₀	—	4	2	no	—
1021	D₂₀	—	4	2	no	—
1022	D₂₀	—	4	2	no	—
1023	D₂₀	—	4	2	no	—
1024	D₂₀	—	4	2	no	—
1025	D₂₀	—	8	1	no	—
1026	D₂₀	—	8	1	no	—
1027	D₂₀	C₂×#41	1	2	yes	—
1028	C₄×D₅	—	2	2	no	—
1029	C₄×D₅	—	2	2	no	—
1030	C₄×D₅	—	2	1	no	—
1031	C₄×D₅	—	2	1	no	—
1032	C₄×D₅	—	2	1	no	—
1033	C₄×D₅	—	2	1	no	—
1034	C₄×D₅	—	2	2	no	—
1035	C₄×D₅	—	2	2	no	—
1036	C₄×D₅	—	2	4	no	—
1037	C₄×D₅	—	2	2	no	—
1038	C₄×D₅	—	4	1	no	—
1039	C₄×D₅	—	4	2	no	—
1040	C₄×D₅	—	4	2	no	—
1041	C₄×D₅	—	4	2	no	—
1042	C₄×D₅	—	4	2	no	—
1043	C₄×D₅	—	4	2	no	—
1044	C₄×D₅	—	4	2	no	—
1045	C₄×D₅	—	4	2	no	—
1046	C₄×D₅	—	4	2	no	—
1047	C₄×D₅	—	4	2	no	—
1048	C₄×D₅	—	4	2	no	—
1049	C₄×D₅	—	4	2	no	—
1050	C₄×D₅	—	8	1	no	—
1051	C₄×D₅	C₂×#41	1	2	yes	—
1052	C₄×D₅	H(5,𝔽₂)	1	2	yes	—
1053	Dic₁₀	—	2	1	no	—
1054	Dic₁₀	—	2	1	no	—
1055	Dic₁₀	—	4	2	no	—
1056	Dic₁₀	—	8	1	no	—
1057	Dic₁₀	—	8	1	no	—
1058	Dic₁₀	—	8	1	no	—
1059	C₅×C₈	—	2	1	no	—
1060	C₅×C₈	—	2	1	no	—
1061	C₅×C₈	—	2	1	no	—
1062	C₅×C₈	—	2	1	no	—
1063	#168	—	2	1	no	—
1064	#168	—	2	1	no	—
1065	#168	—	2	1	no	—
1066	#168	—	2	1	no	—
1067	C₂×#41	—	5	1	no	—
1068	C₂×#41	—	5	1	no	—
1069	C₂×#41	—	5	1	no	—
1070	C₂×#41	—	5	1	no	—
1071	C₂×#41	—	5	1	no	—
1072	C₂×#41	—	5	1	no	—
1073	C₂×#41	—	10	1	no	—
1074	C₂×#41	—	10	1	no	—
1075	C₂×#41	—	10	1	no	—
1076	C₂×#41	—	10	1	no	—
1077	C₂×#41	—	10	4	no	—
1078	C₂×#41	—	10	4	no	—
1079	C₂×#41	—	20	2	no	—
1080	C₂×#41	—	20	2	no	—
1081	C₂×#41	C₂²×D₅	1	1	yes	characteristic
1082	C₂²×Q₈	—	5	1	no	—
1083	C₂²×Q₈	—	10	1	no	—
1084	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic
1085	C₂²×D₄	—	5	1	no	—
1086	C₂²×D₄	—	5	1	no	—
1087	C₂²×D₄	—	5	1	no	—
1088	C₂²×D₄	—	5	1	no	—
1089	C₂²×D₄	—	10	1	no	—
1090	C₂²×D₄	—	10	1	no	—
1091	C₂²×D₄	—	10	1	no	—
1092	C₂²×D₄	—	10	1	no	—
1093	C₂²×D₄	—	10	1	no	—
1094	C₂³×C₄	—	5	1	no	—
1095	C₂³×C₄	—	5	1	no	—
1096	C₂³×C₄	—	10	1	no	—
1097	C₂³×C₄	—	10	1	no	—
1098	C₂³×C₄	—	10	1	no	—
1099	AGL(1,ℤ/8)	—	10	4	no	—
1100	AGL(1,ℤ/8)	—	20	2	no	—
1101	AGL(1,ℤ/8)	—	20	2	no	—
1102	C₂×SD₁₆	—	5	1	no	—
1103	C₂×SD₁₆	—	5	1	no	—
1104	C₂×SD₁₆	—	5	1	no	—
1105	C₂×SD₁₆	—	5	1	no	—
1106	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1107	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1108	C₂×D₈	—	5	1	no	—
1109	C₂×D₈	—	5	1	no	—
1110	C₂×D₈	—	5	1	no	—
1111	C₂×D₈	—	5	1	no	—
1112	C₂×D₈	—	5	1	no	—
1113	C₂×D₈	C₂²×D₅	1	1	yes	characteristic
1114	C₂×M₁₆	—	5	1	no	—
1115	C₂×M₁₆	—	5	1	no	—
1116	C₂×M₁₆	—	5	1	no	—
1117	C₂×M₁₆	—	5	1	no	—
1118	C₂×M₁₆	—	5	1	no	—
1119	C₂×M₁₆	—	5	1	no	—
1120	C₂×M₁₆	—	5	1	no	—
1121	C₂×M₁₆	—	20	2	no	—
1122	C₂×M₁₆	—	20	2	no	—
1123	C₂×M₁₆	C₂²×D₅	1	1	yes	characteristic
1124	C₂²×C₈	—	5	1	no	—
1125	C₂²×C₈	—	5	1	no	—
1126	C₂²×C₈	—	5	1	no	—
1127	C₂²×C₈	C₂²×D₅	1	1	yes	characteristic
1128	C₄⋊Q₈	—	5	1	no	—
1129	C₄⋊Q₈	—	5	1	no	—
1130	C₄⋊Q₈	—	5	1	no	—
1131	C₄⋊Q₈	—	5	1	no	—
1132	C₄⋊Q₈	—	10	1	no	—
1133	C₄⋊Q₈	—	10	1	no	—
1134	C₄⋊Q₈	—	10	1	no	—
1135	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1136	#127	—	5	1	no	—
1137	#127	—	10	1	no	—
1138	#124	—	2	1	no	—
1139	#124	—	2	1	no	—
1140	#124	—	2	1	no	—
1141	#124	—	5	1	no	—
1142	#124	—	10	1	no	—
1143	#124	—	10	1	no	—
1144	#124	—	10	1	no	—
1145	#124	—	10	1	no	—
1146	#124	—	10	1	no	—
1147	#124	—	10	1	no	—
1148	#124	—	10	1	no	—
1149	#124	—	10	1	no	—
1150	#124	—	10	1	no	—
1151	#124	—	10	1	no	—
1152	#124	—	10	1	no	—
1153	#124	—	10	1	no	—
1154	#124	—	10	1	no	—
1155	#124	—	10	1	no	—
1156	#124	—	10	1	no	—
1157	#124	C₂²×D₅	1	1	yes	characteristic
1158	#123	—	10	1	no	—
1159	#123	—	10	1	no	—
1160	#123	—	10	1	no	—
1161	#123	—	10	1	no	—
1162	#123	—	10	1	no	—
1163	#123	—	10	1	no	—
1164	C₂²⋊Q₈	—	2	1	no	—
1165	C₂²⋊Q₈	—	5	1	no	—
1166	C₂²⋊Q₈	—	5	1	no	—
1167	C₂²⋊Q₈	—	5	1	no	—
1168	C₂²⋊Q₈	—	10	1	no	—
1169	C₂²⋊Q₈	—	10	1	no	—
1170	C₂²⋊Q₈	—	10	1	no	—
1171	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1172	#121	—	2	1	no	—
1173	#121	—	2	1	no	—
1174	#121	—	5	1	no	—
1175	#121	—	5	1	no	—
1176	#121	—	5	1	no	—
1177	#121	—	5	1	no	—
1178	#121	—	5	1	no	—
1179	#121	—	5	1	no	—
1180	#121	—	5	1	no	—
1181	#121	—	5	1	no	—
1182	#121	—	5	1	no	—
1183	#121	—	10	1	no	—
1184	#121	—	10	1	no	—
1185	#121	—	10	1	no	—
1186	#121	—	10	1	no	—
1187	#121	—	10	1	no	—
1188	#121	—	10	1	no	—
1189	#121	—	10	1	no	—
1190	#121	—	10	1	no	—
1191	#121	—	10	1	no	—
1192	#121	—	10	1	no	—
1193	#121	—	10	1	no	—
1194	#121	—	10	1	no	—
1195	#121	—	10	1	no	—
1196	#121	—	10	1	no	—
1197	#121	—	10	1	no	—
1198	#121	—	10	1	no	—
1199	#121	—	10	1	no	—
1200	#121	—	10	1	no	—
1201	#121	—	10	1	no	—
1202	#121	—	10	1	no	—
1203	#121	C₂²×D₅	1	1	yes	characteristic
1204	#121	C₂²×D₅	1	1	yes	characteristic
1205	#121	C₂²×D₅	1	1	yes	characteristic
1206	#120	—	10	1	no	—
1207	#120	—	10	1	no	—
1208	#120	—	10	1	no	—
1209	#120	—	10	1	no	—
1210	#120	—	10	1	no	—
1211	#120	—	10	1	no	—
1212	C₄×Q₈	—	5	1	no	—
1213	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1214	C₄×D₄	—	2	1	no	—
1215	C₄×D₄	—	5	1	no	—
1216	C₄×D₄	—	5	1	no	—
1217	C₄×D₄	—	5	1	no	—
1218	C₄×D₄	—	5	1	no	—
1219	C₄×D₄	—	5	1	no	—
1220	C₄×D₄	—	5	1	no	—
1221	C₄×D₄	—	5	1	no	—
1222	C₄×D₄	—	5	1	no	—
1223	C₄×D₄	—	5	1	no	—
1224	C₄×D₄	—	5	1	no	—
1225	C₄×D₄	—	5	1	no	—
1226	C₄×D₄	—	5	1	no	—
1227	C₄×D₄	—	10	1	no	—
1228	C₄×D₄	—	10	1	no	—
1229	C₄×D₄	—	10	1	no	—
1230	C₄×D₄	—	10	1	no	—
1231	C₄×D₄	—	10	1	no	—
1232	C₄×D₄	—	10	1	no	—
1233	C₄×D₄	—	10	1	no	—
1234	C₄×D₄	—	10	1	no	—
1235	C₄×D₄	—	10	1	no	—
1236	C₄×D₄	—	10	1	no	—
1237	C₄×D₄	—	10	1	no	—
1238	C₄×D₄	—	10	1	no	—
1239	C₄×D₄	—	10	1	no	—
1240	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1241	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1242	#117	—	2	1	no	—
1243	#117	—	5	1	no	—
1244	#117	—	5	1	no	—
1245	#117	—	5	1	no	—
1246	#117	—	5	1	no	—
1247	#117	—	5	1	no	—
1248	#117	—	5	1	no	—
1249	#117	—	5	1	no	—
1250	#117	—	10	1	no	—
1251	#117	—	10	1	no	—
1252	#117	—	10	1	no	—
1253	#117	—	10	1	no	—
1254	#117	—	10	1	no	—
1255	#117	—	10	1	no	—
1256	#117	—	10	1	no	—
1257	#117	—	10	1	no	—
1258	#117	—	10	1	no	—
1259	#117	—	10	1	no	—
1260	#117	—	10	1	no	—
1261	#117	—	10	1	no	—
1262	#117	C₂²×D₅	1	1	yes	characteristic
1263	#117	C₂²×D₅	1	1	yes	characteristic
1264	C₂×C₄⋊C₄	—	5	1	no	—
1265	C₂×C₄⋊C₄	—	5	1	no	—
1266	C₂×C₄⋊C₄	—	5	1	no	—
1267	C₂×C₄⋊C₄	—	5	1	no	—
1268	C₂×C₄⋊C₄	—	10	1	no	—
1269	C₂×C₄⋊C₄	—	10	1	no	—
1270	C₂×C₂²⋊C₄	—	5	1	no	—
1271	C₂×C₂²⋊C₄	—	5	1	no	—
1272	C₂×C₂²⋊C₄	—	10	1	no	—
1273	C₂×C₂²⋊C₄	—	10	1	no	—
1274	C₂×C₂²⋊C₄	—	10	1	no	—
1275	C₂×C₂²⋊C₄	—	10	1	no	—
1276	C₂×C₂²⋊C₄	—	10	1	no	—
1277	C₂×C₂²⋊C₄	—	10	1	no	—
1278	C₂×C₂²⋊C₄	—	10	1	no	—
1279	C₂×C₄²	—	5	1	no	—
1280	C₂×C₄²	—	10	1	no	—
1281	C₂×C₄²	—	10	1	no	—
1282	C₂×C₄²	—	10	1	no	—
1283	#107	—	5	1	no	—
1284	#107	—	5	1	no	—
1285	#107	—	5	1	no	—
1286	#107	—	5	1	no	—
1287	#107	—	5	1	no	—
1288	#107	C₂²×D₅	1	1	yes	characteristic
1289	#106	—	5	1	no	—
1290	#106	—	5	1	no	—
1291	#106	—	5	1	no	—
1292	#106	—	5	1	no	—
1293	#106	C₂²×D₅	1	1	yes	characteristic
1294	#106	C₂²×D₅	1	1	yes	characteristic
1295	C₄⋊C₈	—	5	1	no	—
1296	C₄⋊C₈	—	5	1	no	—
1297	C₄⋊C₈	—	5	1	no	—
1298	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1299	#103	—	5	1	no	—
1300	#103	—	5	1	no	—
1301	#103	—	5	1	no	—
1302	#103	—	5	1	no	—
1303	#103	—	5	1	no	—
1304	#103	—	5	1	no	—
1305	#103	—	5	1	no	—
1306	#103	—	5	1	no	—
1307	#103	—	5	1	no	—
1308	#103	—	5	1	no	—
1309	#103	—	5	1	no	—
1310	#103	—	5	1	no	—
1311	#103	C₂²×D₅	1	1	yes	characteristic
1312	#103	C₂²×D₅	1	1	yes	characteristic
1313	#103	C₂²×D₅	1	1	yes	characteristic
1314	#103	C₂²×D₅	1	1	yes	characteristic
1315	#103	C₂²×D₅	1	1	yes	characteristic
1316	#103	C₂²×D₅	1	1	yes	characteristic
1317	#102	—	5	1	no	—
1318	#102	—	5	1	no	—
1319	#102	—	5	1	no	—
1320	#102	—	5	1	no	—
1321	#102	—	5	1	no	—
1322	#102	—	5	1	no	—
1323	#102	—	5	1	no	—
1324	#102	—	5	1	no	—
1325	#102	—	5	1	no	—
1326	#102	—	5	1	no	—
1327	#102	—	5	1	no	—
1328	#102	—	5	1	no	—
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	C₂²×D₅	1	1	yes	characteristic
1336	#102	C₂²×D₅	1	1	yes	characteristic
1337	#102	C₂²×D₅	1	1	yes	characteristic
1338	#102	C₂²×D₅	1	1	yes	characteristic
1339	C₂²⋊C₈	—	5	1	no	—
1340	C₂²⋊C₈	—	5	1	no	—
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	C₂²×D₅	1	1	yes	characteristic
1346	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1347	#97	—	5	1	no	—
1348	#97	C₂²×D₅	1	1	yes	characteristic
1349	C₄×C₈	—	5	1	no	—
1350	C₄×C₈	—	5	1	no	—
1351	C₂²×C₅	—	2	1	no	—
1352	C₂²×C₅	—	2	1	no	—
1353	C₂²×C₅	—	2	1	no	—
1354	C₂²×C₅	—	2	1	no	—
1355	C₂²×C₅	—	2	1	no	—
1356	C₂²×C₅	—	2	1	no	—
1357	C₂²×C₅	—	4	1	no	—
1358	C₂²×C₅	—	4	1	no	—
1359	C₂²×C₅	—	4	1	no	—
1360	C₂²×C₅	—	4	1	no	—
1361	C₂²×C₅	—	4	1	no	—
1362	C₂²×C₅	—	4	1	no	—
1363	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1364	C₂×D₅	—	2	1	no	—
1365	C₂×D₅	—	2	1	no	—
1366	C₂×D₅	—	2	1	no	—
1367	C₂×D₅	—	2	1	no	—
1368	C₂×D₅	—	2	1	no	—
1369	C₂×D₅	—	2	1	no	—
1370	C₂×D₅	—	2	2	no	—
1371	C₂×D₅	—	2	1	no	—
1372	C₂×D₅	—	2	1	no	—
1373	C₂×D₅	—	4	1	no	—
1374	C₂×D₅	—	4	1	no	—
1375	C₂×D₅	—	4	1	no	—
1376	C₂×D₅	—	4	1	no	—
1377	C₂×D₅	—	4	1	no	—
1378	C₂×D₅	—	4	1	no	—
1379	C₂×D₅	—	4	1	no	—
1380	C₂×D₅	—	4	1	no	—
1381	C₂×D₅	—	8	2	no	—
1382	C₂×D₅	—	8	2	no	—
1383	C₂×D₅	—	8	4	no	—
1384	C₂×D₅	—	8	4	no	—
1385	C₂×D₅	—	8	4	no	—
1386	C₂×D₅	#546	1	2	yes	—
1387	C₄×C₅	—	2	1	no	—
1388	C₄×C₅	—	2	2	no	—
1389	C₄×C₅	—	2	1	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	—	4	1	no	—
1397	C₄×C₅	C₂²×#41	1	1	yes	characteristic
1398	C₄×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1399	Dic₅	—	2	1	no	—
1400	Dic₅	—	2	1	no	—
1401	Dic₅	—	2	1	no	—
1402	Dic₅	—	4	1	no	—
1403	Dic₅	—	4	1	no	—
1404	Dic₅	—	4	1	no	—
1405	Dic₅	—	4	1	no	—
1406	Dic₅	—	4	1	no	—
1407	Dic₅	#546	1	2	yes	—
1408	Dic₅	#575	1	2	yes	—
1409	C₂⁴	—	5	1	no	—
1410	C₂⁴	—	5	1	no	—
1411	C₂⁴	—	10	1	no	—
1412	C₂⁴	—	10	1	no	—
1413	C₂⁴	—	10	1	no	—
1414	#41	—	2	2	no	—
1415	#41	—	4	1	no	—
1416	#41	—	5	4	no	—
1417	#41	—	10	2	no	—
1418	#41	—	10	2	no	—
1419	#41	—	10	2	no	—
1420	#41	—	10	2	no	—
1421	#41	—	10	2	no	—
1422	#41	—	10	2	no	—
1423	#41	—	10	2	no	—
1424	#41	—	10	2	no	—
1425	#41	—	20	1	no	—
1426	#41	—	20	4	no	—
1427	#41	—	20	4	no	—
1428	#41	—	20	4	no	—
1429	#41	—	20	1	no	—
1430	#41	—	20	1	no	—
1431	#41	—	20	4	no	—
1432	C₂×Q₈	—	2	1	no	—
1433	C₂×Q₈	—	2	1	no	—
1434	C₂×Q₈	—	2	2	no	—
1435	C₂×Q₈	—	4	1	no	—
1436	C₂×Q₈	—	5	1	no	—
1437	C₂×Q₈	—	10	1	no	—
1438	C₂×Q₈	—	10	1	no	—
1439	C₂×Q₈	—	10	1	no	—
1440	C₂×Q₈	—	10	1	no	—
1441	C₂×Q₈	—	10	2	no	—
1442	C₂×Q₈	—	20	1	no	—
1443	C₂×Q₈	—	40	2	no	—
1444	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1445	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1446	C₂×D₄	—	2	1	no	—
1447	C₂×D₄	—	2	1	no	—
1448	C₂×D₄	—	2	1	no	—
1449	C₂×D₄	—	2	1	no	—
1450	C₂×D₄	—	5	1	no	—
1451	C₂×D₄	—	5	1	no	—
1452	C₂×D₄	—	5	1	no	—
1453	C₂×D₄	—	5	1	no	—
1454	C₂×D₄	—	5	1	no	—
1455	C₂×D₄	—	5	1	no	—
1456	C₂×D₄	—	10	2	no	—
1457	C₂×D₄	—	10	1	no	—
1458	C₂×D₄	—	10	1	no	—
1459	C₂×D₄	—	10	1	no	—
1460	C₂×D₄	—	10	1	no	—
1461	C₂×D₄	—	10	1	no	—
1462	C₂×D₄	—	10	1	no	—
1463	C₂×D₄	—	10	1	no	—
1464	C₂×D₄	—	10	2	no	—
1465	C₂×D₄	—	10	2	no	—
1466	C₂×D₄	—	10	1	no	—
1467	C₂×D₄	—	10	1	no	—
1468	C₂×D₄	—	10	1	no	—
1469	C₂×D₄	—	10	1	no	—
1470	C₂×D₄	—	10	2	no	—
1471	C₂×D₄	—	10	1	no	—
1472	C₂×D₄	—	10	1	no	—
1473	C₂×D₄	—	10	1	no	—
1474	C₂×D₄	—	10	1	no	—
1475	C₂×D₄	—	10	1	no	—
1476	C₂×D₄	—	10	1	no	—
1477	C₂×D₄	—	10	1	no	—
1478	C₂×D₄	—	10	1	no	—
1479	C₂×D₄	—	10	1	no	—
1480	C₂×D₄	—	20	1	no	—
1481	C₂×D₄	—	20	4	no	—
1482	C₂×D₄	—	20	1	no	—
1483	C₂×D₄	—	20	2	no	—
1484	C₂×D₄	—	20	4	no	—
1485	C₂×D₄	—	20	4	no	—
1486	C₂×D₄	—	40	2	no	—
1487	C₂×D₄	—	40	2	no	—
1488	C₂×D₄	D₄×D₅	1	1	yes	characteristic
1489	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1490	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1491	C₂²×C₄	—	2	1	no	—
1492	C₂²×C₄	—	2	1	no	—
1493	C₂²×C₄	—	2	1	no	—
1494	C₂²×C₄	—	5	1	no	—
1495	C₂²×C₄	—	5	1	no	—
1496	C₂²×C₄	—	5	1	no	—
1497	C₂²×C₄	—	5	1	no	—
1498	C₂²×C₄	—	5	1	no	—
1499	C₂²×C₄	—	5	1	no	—
1500	C₂²×C₄	—	5	1	no	—
1501	C₂²×C₄	—	5	1	no	—
1502	C₂²×C₄	—	5	1	no	—
1503	C₂²×C₄	—	5	1	no	—
1504	C₂²×C₄	—	5	1	no	—
1505	C₂²×C₄	—	10	1	no	—
1506	C₂²×C₄	—	10	2	no	—
1507	C₂²×C₄	—	10	2	no	—
1508	C₂²×C₄	—	10	2	no	—
1509	C₂²×C₄	—	10	2	no	—
1510	C₂²×C₄	—	10	1	no	—
1511	C₂²×C₄	—	10	1	no	—
1512	C₂²×C₄	—	10	1	no	—
1513	C₂²×C₄	—	10	1	no	—
1514	C₂²×C₄	—	10	1	no	—
1515	C₂²×C₄	—	10	1	no	—
1516	C₂²×C₄	—	10	1	no	—
1517	C₂²×C₄	—	10	1	no	—
1518	C₂²×C₄	—	10	1	no	—
1519	C₂²×C₄	—	10	1	no	—
1520	C₂²×C₄	—	10	1	no	—
1521	C₂²×C₄	—	10	1	no	—
1522	C₂²×C₄	—	10	1	no	—
1523	C₂²×C₄	—	10	1	no	—
1524	C₂²×C₄	—	20	4	no	—
1525	C₂²×C₄	—	20	4	no	—
1526	C₂²×C₄	—	20	4	no	—
1527	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1528	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1529	SD₁₆	—	2	2	no	—
1530	SD₁₆	—	4	1	no	—
1531	SD₁₆	—	10	2	no	—
1532	SD₁₆	—	20	1	no	—
1533	SD₁₆	—	20	1	no	—
1534	SD₁₆	—	20	1	no	—
1535	D₈	—	4	1	no	—
1536	D₈	—	10	2	no	—
1537	D₈	—	10	2	no	—
1538	D₈	—	20	1	no	—
1539	D₈	—	20	1	no	—
1540	D₈	—	20	1	no	—
1541	M₁₆	—	4	1	no	—
1542	M₁₆	—	10	2	no	—
1543	M₁₆	—	10	2	no	—
1544	M₁₆	—	10	2	no	—
1545	M₁₆	—	10	2	no	—
1546	M₁₆	—	20	1	no	—
1547	M₁₆	—	20	1	no	—
1548	M₁₆	—	20	1	no	—
1549	C₂×C₈	—	4	1	no	—
1550	C₂×C₈	—	5	1	no	—
1551	C₂×C₈	—	5	1	no	—
1552	C₂×C₈	—	5	1	no	—
1553	C₂×C₈	—	5	1	no	—
1554	C₂×C₈	—	20	1	no	—
1555	C₂×C₈	—	20	1	no	—
1556	C₂×C₈	—	20	1	no	—
1557	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1558	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1559	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1560	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1561	C₄⋊C₄	—	2	1	no	—
1562	C₄⋊C₄	—	2	1	no	—
1563	C₄⋊C₄	—	2	1	no	—
1564	C₄⋊C₄	—	5	1	no	—
1565	C₄⋊C₄	—	5	1	no	—
1566	C₄⋊C₄	—	5	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	—	10	1	no	—
1572	C₄⋊C₄	—	10	1	no	—
1573	C₄⋊C₄	—	10	1	no	—
1574	C₄⋊C₄	—	10	1	no	—
1575	C₄⋊C₄	—	10	1	no	—
1576	C₄⋊C₄	—	10	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	D₄×D₅	1	1	yes	characteristic
1584	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1585	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1586	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1587	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1588	C₂²⋊C₄	—	2	1	no	—
1589	C₂²⋊C₄	—	2	1	no	—
1590	C₂²⋊C₄	—	2	1	no	—
1591	C₂²⋊C₄	—	2	1	no	—
1592	C₂²⋊C₄	—	2	1	no	—
1593	C₂²⋊C₄	—	2	1	no	—
1594	C₂²⋊C₄	—	2	1	no	—
1595	C₂²⋊C₄	—	2	1	no	—
1596	C₂²⋊C₄	—	2	1	no	—
1597	C₂²⋊C₄	—	5	1	no	—
1598	C₂²⋊C₄	—	5	1	no	—
1599	C₂²⋊C₄	—	5	1	no	—
1600	C₂²⋊C₄	—	5	1	no	—
1601	C₂²⋊C₄	—	5	1	no	—
1602	C₂²⋊C₄	—	5	1	no	—
1603	C₂²⋊C₄	—	10	1	no	—
1604	C₂²⋊C₄	—	10	1	no	—
1605	C₂²⋊C₄	—	10	1	no	—
1606	C₂²⋊C₄	—	10	1	no	—
1607	C₂²⋊C₄	—	10	1	no	—
1608	C₂²⋊C₄	—	10	1	no	—
1609	C₂²⋊C₄	—	10	1	no	—
1610	C₂²⋊C₄	—	10	1	no	—
1611	C₂²⋊C₄	—	10	1	no	—
1612	C₂²⋊C₄	—	10	1	no	—
1613	C₂²⋊C₄	—	10	1	no	—
1614	C₂²⋊C₄	—	10	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	D₄×D₅	1	1	yes	characteristic
1630	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1631	C₄²	—	2	1	no	—
1632	C₄²	—	2	1	no	—
1633	C₄²	—	2	1	no	—
1634	C₄²	—	5	1	no	—
1635	C₄²	—	5	1	no	—
1636	C₄²	—	5	1	no	—
1637	C₄²	—	10	1	no	—
1638	C₄²	—	10	1	no	—
1639	C₄²	—	10	1	no	—
1640	C₄²	—	10	1	no	—
1641	C₄²	—	10	1	no	—
1642	C₄²	—	10	1	no	—
1643	C₄²	—	10	1	no	—
1644	C₄²	—	10	1	no	—
1645	C₄²	C₂³×D₅	1	1	yes	characteristic
1646	C₂×C₅	—	4	1	no	—
1647	C₂×C₅	—	4	1	no	—
1648	C₂×C₅	—	8	1	no	—
1649	C₂×C₅	—	8	1	no	—
1650	C₂×C₅	C₂×#546	1	1	yes	characteristic
1651	C₂×C₅	C₂×#575	1	1	yes	characteristic
1652	C₂×C₅	#3585	1	1	yes	characteristic
1653	D₅	—	2	2	no	—
1654	D₅	—	4	1	no	—
1655	D₅	—	4	1	no	—
1656	D₅	—	4	2	no	—
1657	D₅	—	8	1	no	—
1658	D₅	—	8	1	no	—
1659	C₂³	—	2	1	no	—
1660	C₂³	—	2	1	no	—
1661	C₂³	—	5	1	no	—
1662	C₂³	—	5	1	no	—
1663	C₂³	—	5	1	no	—
1664	C₂³	—	10	2	no	—
1665	C₂³	—	10	2	no	—
1666	C₂³	—	10	1	no	—
1667	C₂³	—	10	1	no	—
1668	C₂³	—	10	1	no	—
1669	C₂³	—	20	1	no	—
1670	C₂³	—	20	1	no	—
1671	C₂³	—	20	1	no	—
1672	C₂³	—	20	1	no	—
1673	C₂³	—	20	2	no	—
1674	C₂³	—	20	2	no	—
1675	C₂³	—	20	2	no	—
1676	C₂³	—	20	2	no	—
1677	C₂³	—	20	2	no	—
1678	C₂³	—	20	2	no	—
1679	C₂³	—	20	2	no	—
1680	C₂³	—	40	1	no	—
1681	C₂³	—	40	1	no	—
1682	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1683	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1684	Q₈	—	2	1	no	—
1685	Q₈	—	2	1	no	—
1686	Q₈	—	2	1	no	—
1687	Q₈	—	4	2	no	—
1688	Q₈	—	8	1	no	—
1689	Q₈	—	10	1	no	—
1690	Q₈	—	10	1	no	—
1691	Q₈	—	20	2	no	—
1692	Q₈	—	40	1	no	—
1693	Q₈	—	40	1	no	—
1694	Q₈	—	40	1	no	—
1695	Q₈	D₅×#41	1	2	yes	—
1696	D₄	—	2	1	no	—
1697	D₄	—	2	1	no	—
1698	D₄	—	2	1	no	—
1699	D₄	—	2	1	no	—
1700	D₄	—	4	1	no	—
1701	D₄	—	4	2	no	—
1702	D₄	—	4	2	no	—
1703	D₄	—	5	2	no	—
1704	D₄	—	8	1	no	—
1705	D₄	—	8	1	no	—
1706	D₄	—	10	4	no	—
1707	D₄	—	10	2	no	—
1708	D₄	—	10	2	no	—
1709	D₄	—	10	1	no	—
1710	D₄	—	10	1	no	—
1711	D₄	—	10	1	no	—
1712	D₄	—	10	1	no	—
1713	D₄	—	10	1	no	—
1714	D₄	—	20	1	no	—
1715	D₄	—	20	2	no	—
1716	D₄	—	20	2	no	—
1717	D₄	—	20	2	no	—
1718	D₄	—	20	2	no	—
1719	D₄	—	20	2	no	—
1720	D₄	—	20	2	no	—
1721	D₄	—	20	2	no	—
1722	D₄	—	20	2	no	—
1723	D₄	—	20	2	no	—
1724	D₄	—	20	2	no	—
1725	D₄	—	40	1	no	—
1726	D₄	—	40	1	no	—
1727	D₄	—	40	1	no	—
1728	D₄	—	40	1	no	—
1729	D₄	—	40	1	no	—
1730	D₄	—	40	1	no	—
1731	D₄	—	40	1	no	—
1732	D₄	—	40	1	no	—
1733	D₄	—	40	1	no	—
1734	C₂×C₄	—	2	1	no	—
1735	C₂×C₄	—	2	1	no	—
1736	C₂×C₄	—	2	1	no	—
1737	C₂×C₄	—	2	1	no	—
1738	C₂×C₄	—	2	1	no	—
1739	C₂×C₄	—	2	1	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	—	4	2	no	—
1745	C₂×C₄	—	4	2	no	—
1746	C₂×C₄	—	4	2	no	—
1747	C₂×C₄	—	5	1	no	—
1748	C₂×C₄	—	5	1	no	—
1749	C₂×C₄	—	5	2	no	—
1750	C₂×C₄	—	5	2	no	—
1751	C₂×C₄	—	5	1	no	—
1752	C₂×C₄	—	5	1	no	—
1753	C₂×C₄	—	5	1	no	—
1754	C₂×C₄	—	10	2	no	—
1755	C₂×C₄	—	10	2	no	—
1756	C₂×C₄	—	10	2	no	—
1757	C₂×C₄	—	10	4	no	—
1758	C₂×C₄	—	10	2	no	—
1759	C₂×C₄	—	10	2	no	—
1760	C₂×C₄	—	10	2	no	—
1761	C₂×C₄	—	10	2	no	—
1762	C₂×C₄	—	10	1	no	—
1763	C₂×C₄	—	10	1	no	—
1764	C₂×C₄	—	10	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	—	20	1	no	—
1772	C₂×C₄	—	20	2	no	—
1773	C₂×C₄	—	20	2	no	—
1774	C₂×C₄	—	20	2	no	—
1775	C₂×C₄	—	20	2	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	—	20	2	no	—
1782	C₂×C₄	—	20	2	no	—
1783	C₂×C₄	—	20	2	no	—
1784	C₂×C₄	—	20	2	no	—
1785	C₂×C₄	—	40	1	no	—
1786	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1787	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1788	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1789	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1790	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1791	C₈	—	2	1	no	—
1792	C₈	—	2	1	no	—
1793	C₈	—	2	1	no	—
1794	C₈	—	2	1	no	—
1795	C₈	—	10	1	no	—
1796	C₈	—	10	1	no	—
1797	C₈	—	10	1	no	—
1798	C₈	—	10	1	no	—
1799	C₅	#61166	1	1	yes	characteristic, complemented, Sylow
1800	C₂²	—	2	1	no	—
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	—	4	1	no	—
1807	C₂²	—	4	1	no	—
1808	C₂²	—	4	1	no	—
1809	C₂²	—	4	1	no	—
1810	C₂²	—	4	1	no	—
1811	C₂²	—	4	1	no	—
1812	C₂²	—	5	2	no	—
1813	C₂²	—	10	1	no	—
1814	C₂²	—	10	1	no	—
1815	C₂²	—	10	1	no	—
1816	C₂²	—	10	1	no	—
1817	C₂²	—	10	2	no	—
1818	C₂²	—	10	1	no	—
1819	C₂²	—	10	1	no	—
1820	C₂²	—	10	1	no	—
1821	C₂²	—	10	1	no	—
1822	C₂²	—	20	1	no	—
1823	C₂²	—	20	1	no	—
1824	C₂²	—	20	1	no	—
1825	C₂²	—	20	1	no	—
1826	C₂²	—	20	1	no	—
1827	C₂²	—	20	1	no	—
1828	C₂²	—	20	1	no	—
1829	C₂²	—	20	1	no	—
1830	C₂²	—	40	2	no	—
1831	C₂²	—	40	2	no	—
1832	C₂²	—	40	4	no	—
1833	C₂²	—	40	4	no	—
1834	C₂²	—	40	4	no	—
1835	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1836	C₄	—	2	1	no	—
1837	C₄	—	2	1	no	—
1838	C₄	—	2	2	no	—
1839	C₄	—	2	1	no	—
1840	C₄	—	2	1	no	—
1841	C₄	—	4	1	no	—
1842	C₄	—	4	1	no	—
1843	C₄	—	4	1	no	—
1844	C₄	—	4	1	no	—
1845	C₄	—	4	1	no	—
1846	C₄	—	5	2	no	—
1847	C₄	—	5	2	no	—
1848	C₄	—	10	1	no	—
1849	C₄	—	10	1	no	—
1850	C₄	—	10	1	no	—
1851	C₄	—	20	1	no	—
1852	C₄	—	20	1	no	—
1853	C₄	—	20	1	no	—
1854	C₄	—	20	1	no	—
1855	C₄	—	20	1	no	—
1856	C₄	C₂×D₅×#41	1	1	yes	characteristic
1857	C₄	D₅×H(5,𝔽₂)	1	1	yes	characteristic
1858	C₂	—	4	1	no	—
1859	C₂	—	4	1	no	—
1860	C₂	—	8	1	no	—
1861	C₂	—	8	1	no	—
1862	C₂	—	10	2	no	—
1863	C₂	—	20	1	no	—
1864	C₂	—	20	1	no	—
1865	C₂	—	20	2	no	—
1866	C₂	—	40	1	no	—
1867	C₂	—	40	1	no	—
1868	C₂	D₅×#546	1	1	yes	characteristic
1869	C₂	D₅×#575	1	1	yes	characteristic
1870	C₂	#10619108	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂²×D₄×D₅
commutator, cosocle	C₂×C₄×C₅	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₅
Fitting	C₅×#3321	C₂
socle	C₂²×C₅	C₂³×D₄
hypercenter	#3321	D₅
hypocenter	C₅	#61166
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #3321

Complements

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

N	H ≅ G/N	type
1. D₅×#555	C₂	semidirect
2. #10618611	C₂	semidirect
3. C₅×#3321	C₂	semidirect
4. #10615384	C₂	semidirect
5. #10615270	C₂	semidirect
6. #10613433	C₂	semidirect
7. #10613414	C₂	semidirect
8. #10613276	C₂	semidirect
9. #10613247	C₂	semidirect
10. #10613135	C₂	semidirect
11. #10613103	C₂	semidirect
12. #10612756	C₂	semidirect
13. #10612743	C₂	semidirect
14. #10612615	C₂	semidirect
15. #10612595	C₂	semidirect
16. #10612413	C₂	semidirect
17. #10612388	C₂	semidirect
18. #10612294	C₂	semidirect
19. #10612265	C₂	semidirect
20. #10611836	C₂	semidirect
21. #10611815	C₂	semidirect
22. #10611787	C₂	semidirect
23. #10611771	C₂	semidirect
24. #10611536	C₂	semidirect
25. #10611504	C₂	semidirect
26. #10611237	C₂	semidirect
27. #10611214	C₂	semidirect
28. #10610704	C₂	semidirect
29. #10610687	C₂	semidirect
30. #10610583	C₂	semidirect
31. #10610561	C₂	semidirect
34. C₅×#555	C₂²	semidirect
35. C₅×#548	C₂²	semidirect
36. #66168	C₂²	semidirect
37. Q₈×C₂²⋊D₅	C₂²	semidirect
39. C₂×#4060	C₂²	semidirect
40. C₂×#4057	C₂²	semidirect
41. C₂×D₅×M₁₆	C₂²	semidirect
42. C₂²×#676	C₂²	semidirect
43. #66068	C₂²	semidirect
44. D₅×C₄⋊Q₈	C₂²	semidirect
46. #66010	C₂²	semidirect
54. #65965	C₂²	semidirect
59. #65950	C₂²	semidirect
61. #65943	C₂²	semidirect
65. D₅×#121	C₂²	semidirect
66. D₅×#121	C₂²	semidirect
67. #65910	C₂²	semidirect
69. #65897	C₂²	semidirect
70. #65897	C₂²	semidirect
72. #65884	C₂²	semidirect
75. C₄×D₄×D₅	C₂²	semidirect
78. #65866	C₂²	semidirect
80. D₅×#117	C₂²	semidirect
81. D₅×#117	C₂²	semidirect
82. C₅×#489	C₂²	semidirect
83. C₅×#485	C₂²	semidirect
84. C₅×#482	C₂²	semidirect
85. C₅×#475	C₂²	semidirect
86. C₅×#469	C₂²	semidirect
87. C₅×#465	C₂²	semidirect
88. C₅×#463	C₂²	semidirect
89. C₅×#449	C₂²	semidirect
90. C₅×#448	C₂²	semidirect
91. C₅×#440	C₂²	semidirect
92. C₅×#435	C₂²	semidirect
93. C₅×#419	C₂²	semidirect
94. C₅×#416	C₂²	semidirect
95. #65527	C₂²	semidirect
96. #65522	C₂²	semidirect
97. #65516	C₂²	semidirect
98. #65514	C₂²	semidirect
99. #65463	C₂²	semidirect
100. #65461	C₂²	semidirect
101. #65461	C₂²	semidirect
102. #65459	C₂²	semidirect
103. #65451	C₂²	semidirect
104. SD₁₆×Dic₅	C₂²	semidirect
105. #65446	C₂²	semidirect
106. #65445	C₂²	semidirect
107. #65439	C₂²	semidirect
108. #65423	C₂²	semidirect
109. #65420	C₂²	semidirect
110. #65417	C₂²	semidirect
111. #65404	C₂²	semidirect
112. #65402	C₂²	semidirect
113. C₈×C₂²⋊D₅	C₂²	semidirect
114. #65378	C₂²	semidirect
115. #65376	C₂²	semidirect
116. #65346	C₂²	semidirect
117. #65344	C₂²	semidirect
118. #65337	C₂²	semidirect
119. #65334	C₂²	semidirect
120. #65331	C₂²	semidirect
121. #65328	C₂²	semidirect
122. #65327	C₂²	semidirect
123. #65326	C₂²	semidirect
124. #65325	C₂²	semidirect
125. #65324	C₂²	semidirect
126. #65315	C₂²	semidirect
127. #65309	C₂²	semidirect
128. #65305	C₂²	semidirect
129. #65303	C₂²	semidirect
130. #65300	C₂²	semidirect
131. #65292	C₂²	semidirect
132. #65291	C₂²	semidirect
133. #65290	C₂²	semidirect
134. #65285	C₂²	semidirect
135. #65177	C₂²	semidirect
136. #65174	C₂²	semidirect
137. #65170	C₂²	semidirect
138. #65161	C₂²	semidirect
139. #65159	C₂²	semidirect
140. #65159	C₂²	semidirect
141. #65156	C₂²	semidirect
142. #65155	C₂²	semidirect
143. #65154	C₂²	semidirect
144. #65153	C₂²	semidirect
145. #65150	C₂²	semidirect
146. #65150	C₂²	semidirect
147. #65135	C₂²	semidirect
148. #65133	C₂²	semidirect
149. #65126	C₂²	semidirect
150. #65125	C₂²	semidirect
151. #65107	C₂²	semidirect
152. #65104	C₂²	semidirect
153. #65103	C₂²	semidirect
154. #65101	C₂²	semidirect
155. #65100	C₂²	semidirect
156. #65100	C₂²	semidirect
157. #65095	C₂²	semidirect
158. #65093	C₂²	semidirect
159. #65093	C₂²	semidirect
160. #65093	C₂²	semidirect
161. #65093	C₂²	semidirect
165. #65092	C₂²	semidirect
166. #65092	C₂²	semidirect
167. #65092	C₂²	semidirect
168. #65091	C₂²	semidirect
169. #65091	C₂²	semidirect
170. #65083	C₂²	semidirect
171. #65083	C₂²	semidirect
172. #65081	C₂²	semidirect
173. #65081	C₂²	semidirect
174. #65077	C₂²	semidirect
175. #65075	C₂²	semidirect
176. #65073	C₂²	semidirect
177. #65071	C₂²	semidirect
178. #65068	C₂²	semidirect
179. #65067	C₂²	semidirect
180. #65064	C₂²	semidirect
181. #65062	C₂²	semidirect
182. #65060	C₂²	semidirect
183. #65060	C₂²	semidirect
184. #65060	C₂²	semidirect
185. #65059	C₂²	semidirect
186. #65059	C₂²	semidirect
187. #65059	C₂²	semidirect
188. #65049	C₂²	semidirect
189. #65049	C₂²	semidirect
190. #65045	C₂²	semidirect
191. #65026	C₂²	semidirect
192. #65023	C₂²	semidirect
193. #65021	C₂²	semidirect
194. #65018	C₂²	semidirect
195. #65015	C₂²	semidirect
196. #65015	C₂²	semidirect
197. #65014	C₂²	semidirect
198. #65012	C₂²	semidirect
199. #65003	C₂²	semidirect
200. #65000	C₂²	semidirect
201. #64996	C₂²	semidirect
202. #64995	C₂²	semidirect
497. #3321	D₅	semidirect
774. #555	C₂×D₅	semidirect
778. #548	C₂×D₅	semidirect
809. #489	C₂×D₅	semidirect
821. #485	C₂×D₅	semidirect
829. #482	C₂×D₅	semidirect
835. #475	C₂×D₅	semidirect
841. #469	C₂×D₅	semidirect
853. #465	C₂×D₅	semidirect
857. #463	C₂×D₅	semidirect
869. #449	C₂×D₅	semidirect
873. #448	C₂×D₅	semidirect
881. #440	C₂×D₅	semidirect
891. #435	C₂×D₅	semidirect
901. #419	C₂×D₅	semidirect
923. #416	C₂×D₅	semidirect
1799. C₅	#61166	semidirect

Maximal subgroups

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

subgroup	index
D₅×#555	2
#10618611	2
C₅×#3321	2
#10615384	2
#10615270	2
#10613433	2
#10613414	2
#10613276	2
#10613247	2
#10613135	2
#10613103	2
#10612756	2
#10612743	2
#10612615	2
#10612595	2
#10612413	2
#10612388	2
#10612294	2
#10612265	2
#10611836	2
#10611815	2
#10611787	2
#10611771	2
#10611536	2
#10611504	2
#10611237	2
#10611214	2
#10610704	2
#10610687	2
#10610583	2
#10610561	2
#61166	5