Subgroups — #12969712

Order 1280.

1898 conjugacy classes of subgroups.

The subgroup lattice has 1722 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10618427	C₂	1	1	yes	maximal, characteristic, complemented
2	#10618398	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#3178	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615190	C₂	1	1	yes	maximal, characteristic, complemented
5	#10615176	C₂	1	1	yes	maximal, characteristic, complemented
6	D₅×#501	C₂	1	1	yes	maximal, characteristic, complemented
7	#10613692	C₂	1	1	yes	maximal, characteristic, complemented
8	#10613600	C₂	1	1	yes	maximal, characteristic, complemented
9	#10613593	C₂	1	1	yes	maximal, characteristic, complemented
10	#10613372	C₂	1	1	yes	maximal, characteristic, complemented
11	#10613361	C₂	1	1	yes	maximal, characteristic, complemented
12	#10613332	C₂	1	1	yes	maximal, characteristic, complemented
13	#10613325	C₂	1	1	yes	maximal, characteristic, complemented
14	#10612637	C₂	1	1	yes	maximal, characteristic, complemented
15	#10612619	C₂	1	1	yes	maximal, characteristic, complemented
16	#10612539	C₂	1	1	yes	maximal, characteristic, complemented
17	#10612515	C₂	1	1	yes	maximal, characteristic, complemented
18	#10612492	C₂	1	1	yes	maximal, characteristic, complemented
19	#10612476	C₂	1	1	yes	maximal, characteristic, complemented
20	#10612391	C₂	1	1	yes	maximal, characteristic, complemented
21	#10612369	C₂	1	1	yes	maximal, characteristic, complemented
22	#10611568	C₂	1	1	yes	maximal, characteristic, complemented
23	#10611563	C₂	1	1	yes	maximal, characteristic, complemented
24	#10611521	C₂	1	1	yes	maximal, characteristic, complemented
25	#10611509	C₂	1	1	yes	maximal, characteristic, complemented
26	#10611457	C₂	1	1	yes	maximal, characteristic, complemented
27	#10611452	C₂	1	1	yes	maximal, characteristic, complemented
28	#10611395	C₂	1	1	yes	maximal, characteristic, complemented
29	#10611381	C₂	1	1	yes	maximal, characteristic, complemented
30	#10610309	C₂	1	1	yes	maximal, characteristic, complemented
31	#10610281	C₂	1	1	yes	maximal, characteristic, complemented
32	C₅×#542	C₂²	1	1	yes	characteristic
33	C₅×#541	C₂²	1	1	yes	characteristic
34	C₂×#4065	C₂²	1	1	yes	characteristic
35	C₂×#4065	C₂²	1	1	yes	characteristic
36	C₂×#4062	C₂²	1	1	yes	characteristic
37	C₂×#4062	C₂²	1	1	yes	characteristic
38	C₂×#4053	C₂²	1	1	yes	characteristic
39	C₂×#4047	C₂²	1	1	yes	characteristic
40	#66067	C₂²	1	1	yes	characteristic
41	#66065	C₂²	1	1	yes	characteristic
42	#66059	C₂²	1	1	yes	characteristic
43	D₅×C₄⋊Q₈	C₂²	1	1	yes	characteristic
44	#66043	—	2	1	no	—
45	#66043	—	2	1	no	—
46	#66043	—	2	1	no	—
47	#66043	—	2	1	no	—
48	#66043	—	2	1	no	—
49	#66036	—	2	1	no	—
50	#66032	C₂²	1	1	yes	characteristic
51	#66029	—	2	1	no	—
52	#66029	—	2	1	no	—
53	#66027	—	2	1	no	—
54	#66027	—	2	1	no	—
55	D₅×#125	C₂²	1	1	yes	characteristic
56	#66016	C₂²	1	1	yes	characteristic
57	#66011	—	2	1	no	—
58	#66004	—	2	1	no	—
59	#66002	C₂²	1	1	yes	characteristic
60	#65995	—	2	1	no	—
61	#65989	—	2	1	no	—
62	#65970	—	2	1	no	—
63	#65967	—	2	1	no	—
64	#65963	C₂²	1	1	yes	characteristic
65	#65963	C₂²	1	1	yes	characteristic
66	#65963	C₂²	1	1	yes	characteristic
67	#65958	C₂²	1	1	yes	characteristic
68	#65958	C₂²	1	1	yes	characteristic
69	#65956	C₂²	1	1	yes	characteristic
70	#65942	C₂²	1	1	yes	characteristic
71	#65930	C₂²	1	1	yes	characteristic
72	#65914	C₂²	1	1	yes	characteristic
73	#65914	C₂²	1	1	yes	characteristic
74	#65912	C₂²	1	1	yes	characteristic
75	#65908	C₂²	1	1	yes	characteristic
76	#65908	C₂²	1	1	yes	characteristic
77	#65908	C₂²	1	1	yes	characteristic
78	#65882	C₂²	1	1	yes	characteristic
79	#65880	C₂²	1	1	yes	characteristic
80	#65869	C₂²	1	1	yes	characteristic
81	#65868	C₂²	1	1	yes	characteristic
82	#65856	C₂²	1	1	yes	characteristic
83	C₅×#501	C₂²	1	1	yes	characteristic
84	C₅×#497	C₂²	1	1	yes	characteristic
85	C₅×#488	C₂²	1	1	yes	characteristic
86	C₅×#487	C₂²	1	1	yes	characteristic
87	C₅×#470	C₂²	1	1	yes	characteristic
88	C₅×#468	C₂²	1	1	yes	characteristic
89	C₅×#467	C₂²	1	1	yes	characteristic
90	C₅×#465	C₂²	1	1	yes	characteristic
91	C₅×#441	C₂²	1	1	yes	characteristic
92	C₅×#440	C₂²	1	1	yes	characteristic
93	C₄×C₅×Q₁₆	C₂²	1	1	yes	characteristic
94	C₄×C₅×SD₁₆	C₂²	1	1	yes	characteristic
95	C₅×#405	C₂²	1	1	yes	characteristic
96	#65479	C₂²	1	1	yes	characteristic
97	#65479	C₂²	1	1	yes	characteristic
98	#65478	C₂²	1	1	yes	characteristic
99	#65477	C₂²	1	1	yes	characteristic
100	#65473	C₂²	1	1	yes	characteristic
101	Q₁₆×Dic₅	C₂²	1	1	yes	characteristic
102	#65465	C₂²	1	1	yes	characteristic
103	#65465	C₂²	1	1	yes	characteristic
104	#65463	C₂²	1	1	yes	characteristic
105	#65460	C₂²	1	1	yes	characteristic
106	#65453	C₂²	1	1	yes	characteristic
107	SD₁₆×Dic₅	C₂²	1	1	yes	characteristic
108	#65424	C₂²	1	1	yes	characteristic
109	#65423	C₂²	1	1	yes	characteristic
110	M₁₆×Dic₅	C₂²	1	1	yes	characteristic
111	#65404	C₂²	1	1	yes	characteristic
112	#65403	C₂²	1	1	yes	characteristic
113	C₂×#3947	C₂²	1	1	yes	characteristic
114	#65377	C₂²	1	1	yes	characteristic
115	#65375	C₂²	1	1	yes	characteristic
116	#65370	C₂²	1	1	yes	characteristic
117	#65369	C₂²	1	1	yes	characteristic
118	#65357	C₂²	1	1	yes	characteristic
119	#65354	C₂²	1	1	yes	characteristic
120	#65347	C₂²	1	1	yes	characteristic
121	#65345	C₂²	1	1	yes	characteristic
122	#65341	C₂²	1	1	yes	characteristic
123	#65340	C₂²	1	1	yes	characteristic
124	#65338	C₂²	1	1	yes	characteristic
125	#65338	C₂²	1	1	yes	characteristic
126	#65337	C₂²	1	1	yes	characteristic
127	#65337	C₂²	1	1	yes	characteristic
128	#65328	C₂²	1	1	yes	characteristic
129	#65327	C₂²	1	1	yes	characteristic
130	#65319	C₂²	1	1	yes	characteristic
131	C₄×#689	C₂²	1	1	yes	characteristic
132	#65315	C₂²	1	1	yes	characteristic
133	#65315	C₂²	1	1	yes	characteristic
134	C₄×#688	C₂²	1	1	yes	characteristic
135	C₄×#688	C₂²	1	1	yes	characteristic
136	#65303	C₂²	1	1	yes	characteristic
137	C₄×#686	C₂²	1	1	yes	characteristic
138	#65286	C₂²	1	1	yes	characteristic
139	#65178	C₂²	1	1	yes	characteristic
140	#65175	C₂²	1	1	yes	characteristic
141	#65172	C₂²	1	1	yes	characteristic
142	D₅×#107	C₂²	1	1	yes	characteristic
143	D₅×#107	C₂²	1	1	yes	characteristic
144	#65165	C₂²	1	1	yes	characteristic
145	#65165	C₂²	1	1	yes	characteristic
146	#65161	C₂²	1	1	yes	characteristic
147	#65158	C₂²	1	1	yes	characteristic
148	#65154	C₂²	1	1	yes	characteristic
149	#65153	C₂²	1	1	yes	characteristic
150	D₅×#106	C₂²	1	1	yes	characteristic
151	D₅×#106	C₂²	1	1	yes	characteristic
152	#65145	C₂²	1	1	yes	characteristic
153	#65145	C₂²	1	1	yes	characteristic
154	#65141	C₂²	1	1	yes	characteristic
155	#65106	C₂²	1	1	yes	characteristic
156	#65106	C₂²	1	1	yes	characteristic
157	#65105	C₂²	1	1	yes	characteristic
158	#65102	C₂²	1	1	yes	characteristic
159	#65101	C₂²	1	1	yes	characteristic
160	#65101	C₂²	1	1	yes	characteristic
161	#65096	C₂²	1	1	yes	characteristic
162	#65096	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
166	#65092	C₂²	1	1	yes	characteristic
167	#65092	C₂²	1	1	yes	characteristic
168	#65092	C₂²	1	1	yes	characteristic
169	#65086	C₂²	1	1	yes	characteristic
170	#65086	C₂²	1	1	yes	characteristic
171	#65084	C₂²	1	1	yes	characteristic
172	#65084	C₂²	1	1	yes	characteristic
173	#65084	C₂²	1	1	yes	characteristic
174	#65084	C₂²	1	1	yes	characteristic
175	#65079	C₂²	1	1	yes	characteristic
176	#65078	C₂²	1	1	yes	characteristic
177	#65077	C₂²	1	1	yes	characteristic
178	#65077	C₂²	1	1	yes	characteristic
179	#65074	C₂²	1	1	yes	characteristic
180	#65071	C₂²	1	1	yes	characteristic
181	#65064	C₂²	1	1	yes	characteristic
182	#65060	C₂²	1	1	yes	characteristic
183	#65060	C₂²	1	1	yes	characteristic
184	#65053	C₂²	1	1	yes	characteristic
185	#65053	C₂²	1	1	yes	characteristic
186	#65045	C₂²	1	1	yes	characteristic
187	#65001	C₂²	1	1	yes	characteristic
188	#65000	C₂²	1	1	yes	characteristic
189	#64999	C₂²	1	1	yes	characteristic
190	#64997	C₂²	1	1	yes	characteristic
191	#64997	C₂²	1	1	yes	characteristic
192	D₅×#97	C₂²	1	1	yes	characteristic
193	D₅×#97	C₂²	1	1	yes	characteristic
194	#64991	C₂²	1	1	yes	characteristic
195	#64986	C₂²	1	1	yes	characteristic
196	#64983	C₂²	1	1	yes	characteristic
197	C₄×D₄₀	C₂²	1	1	yes	characteristic
198	C₄×#677	C₂²	1	1	yes	characteristic
199	#64978	C₂²	1	1	yes	characteristic
200	#64978	C₂²	1	1	yes	characteristic
201	C₄×#676	C₂²	1	1	yes	characteristic
202	C₄×#676	C₂²	1	1	yes	characteristic
203	#60721	—	5	1	no	maximal, Sylow
204	C₂×#713	C₂³	1	1	yes	characteristic
205	C₂×#713	C₂³	1	1	yes	characteristic
206	C₂×#713	C₂³	1	1	yes	characteristic
207	C₂×Q₈×D₅	—	2	1	no	—
208	C₂×#711	—	2	1	no	—
209	C₂×#711	C₂³	1	1	yes	characteristic
210	C₂×#709	—	2	1	no	—
211	C₂×#709	C₂³	1	1	yes	characteristic
212	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
213	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
214	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
215	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
216	C₂×C₅×M₁₆	C₂³	1	1	yes	characteristic
217	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
218	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
219	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
220	C₅×#126	—	2	1	no	—
221	C₅×#126	—	2	1	no	—
222	C₅×#126	—	2	1	no	—
223	C₅×#125	—	2	1	no	—
224	C₅×#125	—	2	1	no	—
225	C₅×#125	C₂³	1	1	yes	characteristic
226	C₅×#124	—	2	1	no	—
227	C₅×#124	C₂³	1	1	yes	characteristic
228	C₅×#123	—	2	1	no	—
229	C₅×C₂²⋊Q₈	—	2	1	no	—
230	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
231	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
232	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
233	C₅×#121	C₂³	1	1	yes	characteristic
234	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
235	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
236	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
237	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
238	C₅×#117	C₂³	1	1	yes	characteristic
239	#4093	—	2	1	no	—
240	#4093	C₂³	1	1	yes	characteristic
241	#4093	C₂³	1	1	yes	characteristic
242	#4092	—	2	1	no	—
243	#4092	C₂³	1	1	yes	characteristic
244	#4092	C₂³	1	1	yes	characteristic
245	#4092	C₂³	1	1	yes	characteristic
246	Q₈×Dic₅	C₂³	1	1	yes	characteristic
247	Q₈×Dic₅	C₂³	1	1	yes	characteristic
248	Q₈×Dic₅	C₂³	1	1	yes	characteristic
249	#4090	—	2	1	no	—
250	#4090	C₂³	1	1	yes	characteristic
251	C₂×#689	C₂³	1	1	yes	characteristic
252	C₂×#689	C₂³	1	1	yes	characteristic
253	C₂×#688	C₂³	1	1	yes	characteristic
254	C₂×#688	C₂³	1	1	yes	characteristic
255	C₂×#688	C₂³	1	1	yes	characteristic
256	C₂×#688	C₂³	1	1	yes	characteristic
257	#4086	C₂³	1	1	yes	characteristic
258	#4085	—	2	1	no	—
259	#4085	—	2	1	no	—
260	#4084	—	2	1	no	—
261	#4084	C₂³	1	1	yes	characteristic
262	D₄×Dic₅	C₂³	1	1	yes	characteristic
263	C₂×#686	C₂³	1	1	yes	characteristic
264	C₂×#686	C₂³	1	1	yes	characteristic
265	#4076	C₂³	1	1	yes	characteristic
266	#4076	C₂³	1	1	yes	characteristic
267	#4076	C₂³	1	1	yes	characteristic
268	C₄×C₂²⋊D₅	—	2	1	no	—
269	C₄×C₂²⋊D₅	—	2	1	no	—
270	#4070	C₂³	1	1	yes	characteristic
271	C₂×#683	—	2	1	no	—
272	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
273	C₂×#681	C₂³	1	1	yes	characteristic
274	C₂²×#168	C₂³	1	1	yes	characteristic
275	#4065	—	2	4	no	—
276	#4065	—	2	4	no	—
277	#4062	—	2	4	no	—
278	#4062	—	2	4	no	—
279	#4053	—	2	4	no	—
280	C₂×D₄₀	C₂³	1	1	yes	characteristic
281	C₂×D₄₀	C₂³	1	1	yes	characteristic
282	C₂×#677	C₂³	1	1	yes	characteristic
283	C₂×#677	C₂³	1	1	yes	characteristic
284	#4047	—	2	4	no	—
285	C₂×#676	C₂³	1	1	yes	characteristic
286	C₂×#676	C₂³	1	1	yes	characteristic
287	C₂×#676	C₂³	1	1	yes	characteristic
288	C₂×#676	C₂³	1	1	yes	characteristic
289	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
290	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
291	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
292	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
293	#4044	—	2	1	no	—
294	#4044	—	2	1	no	—
295	#4044	—	2	1	no	—
296	#4044	—	2	1	no	—
297	#4044	—	2	1	no	—
298	#4044	—	2	1	no	—
299	#4044	—	2	1	no	—
300	#4044	—	2	1	no	—
301	#4043	C₂³	1	1	yes	characteristic
302	#4042	—	2	1	no	—
303	#4042	—	2	1	no	—
304	#4042	—	2	1	no	—
305	#4042	—	2	1	no	—
306	#4042	—	2	1	no	—
307	#4041	—	2	1	no	—
308	#4041	—	2	1	no	—
309	#4041	—	2	1	no	—
310	#4041	—	2	1	no	—
311	#4041	—	2	1	no	—
312	#4041	—	2	1	no	—
313	#4041	—	2	1	no	—
314	#4041	C₂³	1	1	yes	characteristic
315	#4041	C₂³	1	1	yes	characteristic
316	#4041	C₂³	1	1	yes	characteristic
317	#4040	—	2	1	no	—
318	#4040	—	2	1	no	—
319	#4040	—	2	1	no	—
320	#4040	—	2	1	no	—
321	#4040	—	2	1	no	—
322	#4040	—	2	1	no	—
323	#4040	—	2	1	no	—
324	#4039	—	2	1	no	—
325	#4039	—	2	1	no	—
326	#4039	—	2	1	no	—
327	#4039	—	2	1	no	—
328	#4039	—	2	1	no	—
329	#4039	D₄	1	1	yes	characteristic
330	#4039	D₄	1	1	yes	characteristic
331	#4039	C₂³	1	1	yes	characteristic
332	#4039	C₂³	1	1	yes	characteristic
333	#4039	C₂³	1	1	yes	characteristic
334	#4038	—	2	1	no	—
335	#4038	—	2	1	no	—
336	D₅×C₄⋊C₄	—	2	1	no	—
337	D₅×C₄⋊C₄	—	2	1	no	—
338	D₅×C₄⋊C₄	—	2	1	no	—
339	D₅×C₄⋊C₄	—	2	1	no	—
340	D₅×C₄⋊C₄	—	2	1	no	—
341	D₅×C₄⋊C₄	—	2	1	no	—
342	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
343	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
344	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
345	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
346	#4036	C₂³	1	1	yes	characteristic
347	#4036	C₂³	1	1	yes	characteristic
348	#4035	—	2	1	no	—
349	#4035	—	2	1	no	—
350	#4035	—	2	1	no	—
351	#4035	—	2	1	no	—
352	#4035	—	2	1	no	—
353	#4035	—	2	1	no	—
354	#4034	—	2	1	no	—
355	#4034	C₂³	1	1	yes	characteristic
356	#4034	C₂³	1	1	yes	characteristic
357	#4033	—	2	1	no	—
358	#4033	D₄	1	1	yes	characteristic
359	#4033	D₄	1	1	yes	characteristic
360	#4033	C₂³	1	1	yes	characteristic
361	#4032	—	2	1	no	—
362	#4032	—	2	1	no	—
363	#4032	—	2	1	no	—
364	#4031	—	2	1	no	—
365	#4031	—	2	1	no	—
366	#4031	—	2	1	no	—
367	#4031	—	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	#4030	—	2	1	no	—
377	#4030	—	2	1	no	—
378	#4030	—	2	1	no	—
379	#4030	—	2	1	no	—
380	#4029	—	2	1	no	—
381	#4027	—	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	#4027	D₄	1	1	yes	characteristic
390	#4027	D₄	1	1	yes	characteristic
391	#4025	—	2	1	no	—
392	#4024	—	2	1	no	—
393	#4024	—	2	1	no	—
394	#4024	—	2	1	no	—
395	#4023	—	2	1	no	—
396	#4023	—	2	1	no	—
397	#4021	C₂³	1	1	yes	characteristic
398	#4020	C₂³	1	1	yes	characteristic
399	C₄×D₂₀	—	2	1	no	—
400	C₄×D₂₀	—	2	1	no	—
401	C₄×D₂₀	—	2	1	no	—
402	C₄×D₂₀	—	2	1	no	—
403	C₄×D₂₀	—	2	1	no	—
404	C₄×D₂₀	C₂³	1	1	yes	characteristic
405	C₄×D₂₀	C₂³	1	1	yes	characteristic
406	C₄×D₂₀	C₂³	1	1	yes	characteristic
407	#4018	—	2	1	no	—
408	#4018	—	2	1	no	—
409	#4018	—	2	1	no	—
410	#4018	—	2	1	no	—
411	#4018	—	2	1	no	—
412	#4018	—	2	1	no	—
413	#4018	C₂³	1	1	yes	characteristic
414	#4018	C₂³	1	1	yes	characteristic
415	C₄²×D₅	C₂³	1	1	yes	characteristic
416	C₄²×D₅	C₂³	1	1	yes	characteristic
417	#4016	C₂³	1	1	yes	characteristic
418	#4015	C₂³	1	1	yes	characteristic
419	C₄×Dic₁₀	—	2	1	no	—
420	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
421	C₅×#107	C₂³	1	1	yes	characteristic
422	C₅×#107	C₂³	1	1	yes	characteristic
423	C₅×#106	C₂³	1	1	yes	characteristic
424	C₅×#106	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×#103	C₂³	1	1	yes	characteristic
431	C₅×#102	C₂³	1	1	yes	characteristic
432	C₅×#102	C₂³	1	1	yes	characteristic
433	C₅×#97	C₂³	1	1	yes	characteristic
434	C₅×#97	C₂³	1	1	yes	characteristic
435	C₄×C₅×C₈	C₂³	1	1	yes	characteristic
436	C₄×C₅×C₈	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	#3953	C₂³	1	1	yes	characteristic
446	#3953	C₂³	1	1	yes	characteristic
447	#3953	C₂³	1	1	yes	characteristic
448	#3953	C₂³	1	1	yes	characteristic
449	#3953	C₂³	1	1	yes	characteristic
450	#3953	C₂³	1	1	yes	characteristic
451	#3950	C₂³	1	1	yes	characteristic
452	#3950	C₂³	1	1	yes	characteristic
453	#3949	C₂³	1	1	yes	characteristic
454	#3949	C₂³	1	1	yes	characteristic
455	#3948	C₂³	1	1	yes	characteristic
456	#3948	C₂³	1	1	yes	characteristic
457	#3947	C₂³	1	1	yes	characteristic
458	#3947	C₂³	1	1	yes	characteristic
459	#3947	C₂³	1	1	yes	characteristic
460	#3947	C₂³	1	1	yes	characteristic
461	#3947	C₂³	1	1	yes	characteristic
462	#3947	C₂³	1	1	yes	characteristic
463	C₈×Dic₅	C₂³	1	1	yes	characteristic
464	C₈×Dic₅	C₂³	1	1	yes	characteristic
465	#3942	C₂³	1	1	yes	characteristic
466	#3942	C₂³	1	1	yes	characteristic
467	#3941	C₂³	1	1	yes	characteristic
468	#3941	C₂³	1	1	yes	characteristic
469	#3941	C₂³	1	1	yes	characteristic
470	#3941	C₂³	1	1	yes	characteristic
471	#3941	C₂³	1	1	yes	characteristic
472	#3941	C₂³	1	1	yes	characteristic
473	#3940	C₂³	1	1	yes	characteristic
474	#3940	C₂³	1	1	yes	characteristic
475	#3940	C₂³	1	1	yes	characteristic
476	#3940	C₂³	1	1	yes	characteristic
477	#3939	C₂³	1	1	yes	characteristic
478	#3939	C₂³	1	1	yes	characteristic
479	#3939	C₂³	1	1	yes	characteristic
480	#3939	C₂³	1	1	yes	characteristic
481	#3935	C₂³	1	1	yes	characteristic
482	#3935	C₂³	1	1	yes	characteristic
483	C₄×#168	C₂³	1	1	yes	characteristic
484	C₄×#168	C₂³	1	1	yes	characteristic
485	#3512	—	5	1	no	—
486	#3511	—	5	1	no	—
487	#3181	—	5	1	no	—
488	#3181	—	5	1	no	—
489	#3180	—	5	1	no	—
490	#3180	—	5	1	no	—
491	#3179	—	5	1	no	—
492	#3179	—	5	1	no	—
493	#3179	—	5	1	no	—
494	#3179	—	5	1	no	—
495	#3178	—	5	1	no	—
496	#3178	—	5	1	no	—
497	#3178	—	5	1	no	—
498	#3178	D₅	1	1	yes	characteristic, complemented
499	#3172	—	5	1	no	—
500	#3172	—	5	1	no	—
501	#3171	—	5	1	no	—
502	#3171	—	5	1	no	—
503	C₂×#501	—	5	1	no	—
504	#3150	—	5	1	no	—
505	#3142	—	5	1	no	—
506	#3141	—	5	1	no	—
507	#3061	—	5	1	no	—
508	#3061	—	5	1	no	—
509	#3060	—	5	1	no	—
510	#3060	—	5	1	no	—
511	#2952	—	5	1	no	—
512	#2952	—	5	1	no	—
513	#2951	—	5	1	no	—
514	#2951	—	5	1	no	—
515	#2875	—	5	1	no	—
516	C₂×C₅×Q₈	—	2	1	no	—
517	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
518	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
519	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
520	C₂×C₅×D₄	—	2	1	no	—
521	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
522	C₂²×C₄×C₅	—	2	1	no	—
523	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
524	C₂×C₂²⋊D₅	—	2	1	no	—
525	C₂×C₂²⋊D₅	—	2	1	no	—
526	C₂×C₂²⋊D₅	—	2	1	no	—
527	C₂×C₂²⋊D₅	—	2	1	no	—
528	C₂×C₂²⋊D₅	—	2	1	no	—
529	C₂×C₂²⋊D₅	—	2	1	no	—
530	C₂×C₂²⋊D₅	—	2	1	no	—
531	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
532	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
533	C₂²×Dic₅	—	2	1	no	—
534	C₂²×Dic₅	—	2	1	no	—
535	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
536	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
537	#713	—	2	2	no	—
538	#713	—	2	2	no	—
539	#713	—	2	2	no	—
540	#713	—	2	2	no	—
541	#713	—	2	2	no	—
542	#713	—	2	2	no	—
543	Q₈×D₅	—	8	2	no	—
544	#711	—	2	2	no	—
545	#711	—	2	2	no	—
546	#711	—	8	2	no	—
547	#709	—	2	2	no	—
548	#709	—	2	2	no	—
549	#709	—	8	2	no	—
550	C₂×D₂₀	—	2	1	no	—
551	C₂×D₂₀	—	2	1	no	—
552	C₂×D₂₀	—	2	1	no	—
553	C₂×D₂₀	—	2	1	no	—
554	C₂×D₂₀	—	2	1	no	—
555	C₂×D₂₀	—	2	1	no	—
556	C₂×D₂₀	—	2	1	no	—
557	C₂×D₂₀	—	2	1	no	—
558	C₂×D₂₀	C₂×D₄	1	1	yes	characteristic
559	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
560	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
561	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
562	C₂×C₄×D₅	—	2	1	no	—
563	C₂×C₄×D₅	—	2	1	no	—
564	C₂×C₄×D₅	—	2	1	no	—
565	C₂×C₄×D₅	—	2	1	no	—
566	C₂×C₄×D₅	—	2	1	no	—
567	C₂×C₄×D₅	—	2	1	no	—
568	C₂×C₄×D₅	—	2	1	no	—
569	C₂×C₄×D₅	—	2	1	no	—
570	C₂×C₄×D₅	—	2	1	no	—
571	C₂×C₄×D₅	—	2	1	no	—
572	C₂×C₄×D₅	—	2	1	no	—
573	C₂×C₄×D₅	—	2	1	no	—
574	C₂×C₄×D₅	—	2	1	no	—
575	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
576	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
577	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
578	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
579	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
580	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
581	C₂×Dic₁₀	—	2	1	no	—
582	C₂×Dic₁₀	—	2	1	no	—
583	C₂×Dic₁₀	—	2	1	no	—
584	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
585	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
586	C₅×Q₁₆	—	2	2	no	—
587	C₅×Q₁₆	—	2	2	no	—
588	C₅×SD₁₆	—	2	2	no	—
589	C₅×SD₁₆	—	2	2	no	—
590	C₅×M₁₆	—	2	2	no	—
591	C₂×C₅×C₈	—	2	2	no	—
592	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
593	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
594	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
595	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
596	C₅×C₄⋊C₄	—	2	1	no	—
597	C₅×C₄⋊C₄	—	2	1	no	—
598	C₅×C₄⋊C₄	—	2	1	no	—
599	C₅×C₄⋊C₄	—	2	1	no	—
600	C₅×C₄⋊C₄	—	2	1	no	—
601	C₅×C₄⋊C₄	—	2	1	no	—
602	C₅×C₄⋊C₄	—	2	1	no	—
603	C₅×C₄⋊C₄	—	2	1	no	—
604	C₅×C₄⋊C₄	—	2	1	no	—
605	C₅×C₄⋊C₄	—	2	1	no	—
606	C₅×C₄⋊C₄	—	2	1	no	—
607	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
608	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
609	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
610	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
611	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
612	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
613	C₅×C₂²⋊C₄	—	2	1	no	—
614	C₅×C₂²⋊C₄	—	2	1	no	—
615	C₅×C₂²⋊C₄	—	2	1	no	—
616	C₅×C₂²⋊C₄	—	2	1	no	—
617	C₅×C₂²⋊C₄	—	2	1	no	—
618	C₅×C₂²⋊C₄	—	2	1	no	—
619	C₅×C₂²⋊C₄	—	2	1	no	—
620	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
621	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
622	C₄²×C₅	—	2	1	no	—
623	C₄²×C₅	—	2	1	no	—
624	C₄²×C₅	—	2	1	no	—
625	C₄²×C₅	C₂⁴	1	1	yes	characteristic
626	C₄²×C₅	C₂⁴	1	1	yes	characteristic
627	C₂²⋊Dic₅	—	2	1	no	—
628	C₂²⋊Dic₅	—	2	1	no	—
629	C₂²⋊Dic₅	—	2	1	no	—
630	#689	—	2	2	no	—
631	#689	—	2	2	no	—
632	#688	—	2	2	no	—
633	#688	—	2	2	no	—
634	#688	—	2	2	no	—
635	#688	—	2	2	no	—
636	#686	—	2	2	no	—
637	#686	—	2	2	no	—
638	#685	—	2	1	no	—
639	#685	—	2	1	no	—
640	#685	—	2	1	no	—
641	#685	—	2	1	no	—
642	#685	—	2	1	no	—
643	#685	—	2	1	no	—
644	#685	—	2	1	no	—
645	#685	—	2	1	no	—
646	#685	—	2	1	no	—
647	#685	—	2	1	no	—
648	#685	—	2	1	no	—
649	#685	—	2	1	no	—
650	#685	—	2	1	no	—
651	#685	—	2	1	no	—
652	#685	—	2	1	no	—
653	#685	—	2	1	no	—
654	#685	—	2	1	no	—
655	#685	—	2	1	no	—
656	#685	—	2	1	no	—
657	#685	—	2	1	no	—
658	#685	—	2	1	no	—
659	#685	—	2	1	no	—
660	#685	C₂×D₄	1	1	yes	characteristic
661	#685	C₂×D₄	1	1	yes	characteristic
662	#685	C₂×D₄	1	1	yes	characteristic
663	#685	C₂×D₄	1	1	yes	characteristic
664	C₄⋊Dic₅	—	2	1	no	—
665	C₄⋊Dic₅	—	2	1	no	—
666	C₄⋊Dic₅	—	2	1	no	—
667	C₄⋊Dic₅	—	2	1	no	—
668	C₄⋊Dic₅	—	2	1	no	—
669	C₄⋊Dic₅	—	2	1	no	—
670	C₄⋊Dic₅	—	2	1	no	—
671	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
672	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
673	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
674	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
675	#683	—	2	1	no	—
676	#683	—	2	1	no	—
677	#683	—	2	1	no	—
678	#683	—	2	1	no	—
679	#683	—	2	1	no	—
680	#683	—	2	1	no	—
681	#683	—	2	1	no	—
682	#683	—	2	1	no	—
683	#683	—	2	1	no	—
684	#683	—	2	1	no	—
685	#683	—	2	1	no	—
686	#683	—	2	1	no	—
687	#683	—	2	1	no	—
688	#683	—	2	1	no	—
689	#683	—	2	1	no	—
690	#683	—	2	1	no	—
691	#683	—	2	1	no	—
692	#683	—	2	1	no	—
693	#683	C₂×D₄	1	1	yes	characteristic
694	#683	C₂×D₄	1	1	yes	characteristic
695	#683	C₂×D₄	1	1	yes	characteristic
696	#683	C₂×D₄	1	1	yes	characteristic
697	C₄×Dic₅	—	2	1	no	—
698	C₄×Dic₅	—	2	1	no	—
699	C₄×Dic₅	—	2	1	no	—
700	C₄×Dic₅	—	2	1	no	—
701	C₄×Dic₅	—	2	1	no	—
702	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
703	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
704	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
705	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
706	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
707	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
708	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
709	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
710	#681	—	2	2	no	—
711	C₂×#168	—	2	2	no	—
712	C₂×#168	C₂⁴	1	1	yes	characteristic
713	C₂×#168	C₂⁴	1	1	yes	characteristic
714	C₂×#168	C₂⁴	1	1	yes	characteristic
715	C₂×#168	C₂⁴	1	1	yes	characteristic
716	D₄₀	—	2	2	no	—
717	D₄₀	—	2	2	no	—
718	#677	—	2	2	no	—
719	#677	—	2	2	no	—
720	#676	—	2	2	no	—
721	#676	—	2	2	no	—
722	#676	—	2	2	no	—
723	#676	—	2	2	no	—
724	C₈×D₅	—	2	2	no	—
725	C₈×D₅	—	2	2	no	—
726	C₈×D₅	#41	1	4	yes	complemented
727	C₈×D₅	#41	1	4	yes	complemented
728	C₂×#135	—	5	1	no	—
729	C₂×#135	—	5	1	no	—
730	C₂×#135	—	5	1	no	—
731	C₂×#135	—	5	1	no	—
732	C₂×#131	—	5	1	no	—
733	C₂×#131	—	5	1	no	—
734	#556	—	10	1	no	—
735	#555	—	10	1	no	—
736	#554	—	10	1	no	—
737	#553	—	10	1	no	—
738	#553	—	10	1	no	—
739	#553	—	10	1	no	—
740	#553	—	10	1	no	—
741	#553	—	10	1	no	—
742	#553	—	10	1	no	—
743	#553	—	10	1	no	—
744	#553	—	10	1	no	—
745	#552	—	10	1	no	—
746	#552	—	10	1	no	—
747	#548	—	10	1	no	—
748	#548	—	10	1	no	—
749	#547	—	10	1	no	—
750	#542	—	5	1	no	—
751	#542	—	5	1	no	—
752	#542	—	5	1	no	—
753	#542	C₂×D₅	1	1	yes	characteristic
754	#541	—	5	1	no	—
755	#541	C₂×D₅	1	1	yes	characteristic
756	#540	—	5	1	no	—
757	#540	—	5	1	no	—
758	#537	—	5	1	no	—
759	#537	—	5	1	no	—
760	#537	—	5	1	no	—
761	#537	—	5	1	no	—
762	#533	—	5	1	no	—
763	#533	—	5	1	no	—
764	#532	—	5	1	no	—
765	#532	—	5	1	no	—
766	#532	—	5	1	no	—
767	#532	—	5	1	no	—
768	C₂×C₄⋊Q₈	—	5	1	no	—
769	#529	—	5	1	no	—
770	#529	—	5	1	no	—
771	#529	—	5	1	no	—
772	#529	—	5	1	no	—
773	C₂×#125	—	5	1	no	—
774	#520	—	5	1	no	—
775	#520	—	5	1	no	—
776	#520	—	5	1	no	—
777	#520	—	5	1	no	—
778	C₄×#41	—	5	1	no	—
779	#501	—	5	1	no	—
780	#501	—	5	1	no	—
781	#501	—	5	1	no	—
782	#501	—	5	1	no	—
783	#501	—	5	1	no	—
784	#501	—	5	1	no	—
785	#501	—	5	1	no	—
786	#501	C₂×D₅	1	1	yes	characteristic
787	#497	—	5	1	no	—
788	#497	—	5	1	no	—
789	#497	—	5	1	no	—
790	#497	C₂×D₅	1	1	yes	characteristic
791	#496	—	5	1	no	—
792	#496	—	5	1	no	—
793	#496	—	5	1	no	—
794	#496	—	5	1	no	—
795	#491	—	5	1	no	—
796	#491	—	5	1	no	—
797	#490	—	5	1	no	—
798	#490	—	5	1	no	—
799	#489	—	5	1	no	—
800	#489	—	5	1	no	—
801	#489	—	5	1	no	—
802	#489	—	5	1	no	—
803	#488	—	5	1	no	—
804	#488	—	5	1	no	—
805	#488	—	5	1	no	—
806	#488	C₂×D₅	1	1	yes	characteristic
807	#487	—	5	1	no	—
808	#487	C₂×D₅	1	1	yes	characteristic
809	#486	—	5	1	no	—
810	#486	—	5	1	no	—
811	#470	—	5	1	no	—
812	#470	—	5	1	no	—
813	#470	—	5	1	no	—
814	#470	C₂×D₅	1	1	yes	characteristic
815	#469	—	5	1	no	—
816	#469	—	5	1	no	—
817	#469	—	5	1	no	—
818	#469	—	5	1	no	—
819	#468	—	5	1	no	—
820	#468	—	5	1	no	—
821	#468	—	5	1	no	—
822	#468	—	5	1	no	—
823	#468	—	5	1	no	—
824	#468	—	5	1	no	—
825	#468	—	5	1	no	—
826	#468	C₂×D₅	1	1	yes	characteristic
827	#467	—	5	1	no	—
828	#467	—	5	1	no	—
829	#467	—	5	1	no	—
830	#467	C₂×D₅	1	1	yes	characteristic
831	#466	—	5	1	no	—
832	#466	—	5	1	no	—
833	#466	—	5	1	no	—
834	#466	—	5	1	no	—
835	#465	—	5	1	no	—
836	#465	—	5	1	no	—
837	#465	—	5	1	no	—
838	#465	—	5	1	no	—
839	#465	—	5	1	no	—
840	#465	—	5	1	no	—
841	#465	—	5	1	no	—
842	#465	C₂×D₅	1	1	yes	characteristic
843	#442	—	5	1	no	—
844	#442	—	5	1	no	—
845	#442	—	5	1	no	—
846	#442	—	5	1	no	—
847	#441	—	5	1	no	—
848	#441	—	5	1	no	—
849	#441	—	5	1	no	—
850	#441	C₂×D₅	1	1	yes	characteristic
851	#440	—	5	1	no	—
852	#440	—	5	1	no	—
853	#440	—	5	1	no	—
854	#440	—	5	1	no	—
855	#440	—	5	1	no	—
856	#440	—	5	1	no	—
857	#440	—	5	1	no	—
858	#440	C₂×D₅	1	1	yes	characteristic
859	C₄×Q₁₆	—	5	1	no	—
860	C₄×Q₁₆	—	5	1	no	—
861	C₄×Q₁₆	—	5	1	no	—
862	C₄×Q₁₆	C₂×D₅	1	1	yes	characteristic
863	C₄×SD₁₆	—	5	1	no	—
864	C₄×SD₁₆	—	5	1	no	—
865	C₄×SD₁₆	—	5	1	no	—
866	C₄×SD₁₆	—	5	1	no	—
867	C₄×SD₁₆	—	5	1	no	—
868	C₄×SD₁₆	—	5	1	no	—
869	C₄×SD₁₆	—	5	1	no	—
870	C₄×SD₁₆	C₂×D₅	1	1	yes	characteristic
871	C₄×D₈	—	5	1	no	—
872	C₄×D₈	—	5	1	no	—
873	C₄×D₈	—	5	1	no	—
874	C₄×D₈	—	5	1	no	—
875	C₂×#107	—	5	1	no	—
876	C₂×#107	—	5	1	no	—
877	C₂×#106	—	5	1	no	—
878	C₂×#106	—	5	1	no	—
879	#417	—	5	1	no	—
880	#417	—	5	1	no	—
881	#417	—	5	1	no	—
882	#417	—	5	1	no	—
883	#417	—	5	1	no	—
884	#417	—	5	1	no	—
885	#417	—	5	1	no	—
886	#417	—	5	1	no	—
887	#405	—	5	1	no	—
888	#405	—	5	1	no	—
889	#405	—	5	1	no	—
890	#405	—	5	1	no	—
891	#405	—	5	1	no	—
892	#405	C₂×D₅	1	1	yes	characteristic
893	C₄×M₁₆	—	5	1	no	—
894	C₄×M₁₆	—	5	1	no	—
895	C₄×M₁₆	—	5	1	no	—
896	C₂×#97	—	5	1	no	—
897	C₂×#97	—	5	1	no	—
898	C₂×#97	—	5	1	no	—
899	C₂³×C₅	—	2	1	no	—
900	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
901	C₂²×D₅	—	2	1	no	—
902	C₂²×D₅	—	2	1	no	—
903	C₂²×D₅	—	2	1	no	—
904	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
905	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
906	C₅×Q₈	—	2	1	no	—
907	C₅×Q₈	—	2	1	no	—
908	C₅×Q₈	—	2	1	no	—
909	C₅×Q₈	—	2	1	no	—
910	C₅×Q₈	—	2	1	no	—
911	C₅×Q₈	—	2	1	no	—
912	C₅×Q₈	—	8	1	no	—
913	C₅×D₄	—	2	1	no	—
914	C₅×D₄	—	2	1	no	—
915	C₅×D₄	—	8	1	no	—
916	C₂×C₄×C₅	—	2	1	no	—
917	C₂×C₄×C₅	—	2	1	no	—
918	C₂×C₄×C₅	—	2	1	no	—
919	C₂×C₄×C₅	—	2	1	no	—
920	C₂×C₄×C₅	—	2	1	no	—
921	C₂×C₄×C₅	—	2	1	no	—
922	C₂×C₄×C₅	—	2	1	no	—
923	C₂×C₄×C₅	—	2	1	no	—
924	C₂×C₄×C₅	—	2	1	no	—
925	C₂×C₄×C₅	—	8	1	no	—
926	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
927	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
928	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
929	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
930	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
931	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
932	C₂²⋊D₅	—	2	2	no	—
933	C₂²⋊D₅	—	2	2	no	—
934	C₂²⋊D₅	—	4	2	no	—
935	C₂²⋊D₅	—	4	2	no	—
936	C₂²⋊D₅	—	4	2	no	—
937	C₂²⋊D₅	—	8	1	no	—
938	C₂²⋊D₅	—	8	1	no	—
939	C₂²⋊D₅	—	8	1	no	—
940	C₂²⋊D₅	—	8	1	no	—
941	C₂×Dic₅	—	2	1	no	—
942	C₂×Dic₅	—	2	1	no	—
943	C₂×Dic₅	—	2	1	no	—
944	C₂×Dic₅	—	2	1	no	—
945	C₂×Dic₅	—	2	1	no	—
946	C₂×Dic₅	—	4	1	no	—
947	C₂×Dic₅	—	4	1	no	—
948	C₂×Dic₅	—	4	2	no	—
949	C₂×Dic₅	—	8	1	no	—
950	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
951	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
952	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
953	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
954	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
955	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
956	D₂₀	—	2	2	no	—
957	D₂₀	—	2	1	no	—
958	D₂₀	—	2	1	no	—
959	D₂₀	—	2	1	no	—
960	D₂₀	—	2	1	no	—
961	D₂₀	—	2	1	no	—
962	D₂₀	—	2	1	no	—
963	D₂₀	—	4	2	no	—
964	D₂₀	—	4	2	no	—
965	D₂₀	—	4	2	no	—
966	D₂₀	—	8	1	no	—
967	D₂₀	—	8	1	no	—
968	D₂₀	—	8	1	no	—
969	D₂₀	—	8	1	no	—
970	D₂₀	—	8	1	no	—
971	C₄×D₅	—	2	1	no	—
972	C₄×D₅	—	2	1	no	—
973	C₄×D₅	—	4	1	no	—
974	C₄×D₅	—	4	1	no	—
975	C₄×D₅	—	4	1	no	—
976	C₄×D₅	—	4	1	no	—
977	C₄×D₅	—	4	2	no	—
978	C₄×D₅	—	4	2	no	—
979	C₄×D₅	—	4	2	no	—
980	C₄×D₅	—	8	1	no	—
981	C₄×D₅	—	8	1	no	—
982	C₄×D₅	—	8	1	no	—
983	C₄×D₅	—	8	1	no	—
984	C₄×D₅	—	8	1	no	—
985	C₄×D₅	—	8	1	no	—
986	C₄×D₅	—	8	1	no	—
987	C₄×D₅	—	8	1	no	—
988	C₄×D₅	—	8	1	no	—
989	C₄×D₅	—	8	1	no	—
990	C₄×D₅	C₂×#41	1	2	yes	—
991	C₄×D₅	C₂×#41	1	2	yes	—
992	Dic₁₀	—	2	2	no	—
993	Dic₁₀	—	2	1	no	—
994	Dic₁₀	—	2	1	no	—
995	Dic₁₀	—	4	2	no	—
996	Dic₁₀	—	4	2	no	—
997	Dic₁₀	—	8	1	no	—
998	C₅×C₈	—	2	1	no	—
999	C₅×C₈	—	2	1	no	—
1000	C₅×C₈	C₂×#41	1	2	yes	—
1001	C₅×C₈	C₂×#41	1	2	yes	—
1002	#168	—	2	1	no	—
1003	#168	—	2	1	no	—
1004	#168	C₂×#41	1	2	yes	—
1005	#168	C₂×#41	1	2	yes	—
1006	C₂×#41	—	5	1	no	—
1007	C₂×#41	—	5	1	no	—
1008	C₂×#41	—	5	1	no	—
1009	C₂×#41	—	5	1	no	—
1010	C₂×#41	—	5	1	no	—
1011	C₂×#41	—	10	1	no	—
1012	C₂×#41	—	10	1	no	—
1013	C₂²×Q₈	—	10	1	no	—
1014	#135	—	10	4	no	—
1015	#135	—	10	4	no	—
1016	#135	—	10	4	no	—
1017	#135	—	10	4	no	—
1018	C₂×Q₁₆	—	5	1	no	—
1019	C₂×Q₁₆	—	5	1	no	—
1020	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1021	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1022	C₂×SD₁₆	—	5	1	no	—
1023	C₂×SD₁₆	—	5	1	no	—
1024	C₂×SD₁₆	—	5	1	no	—
1025	C₂×SD₁₆	—	5	1	no	—
1026	C₂×SD₁₆	—	5	1	no	—
1027	C₂×SD₁₆	—	5	1	no	—
1028	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1029	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1030	C₂×D₈	—	5	1	no	—
1031	C₂×D₈	—	5	1	no	—
1032	C₂×D₈	—	5	1	no	—
1033	C₂×D₈	—	5	1	no	—
1034	#131	—	10	4	no	—
1035	#131	—	10	4	no	—
1036	C₂×M₁₆	—	5	1	no	—
1037	C₂×M₁₆	—	5	1	no	—
1038	C₂×M₁₆	—	5	1	no	—
1039	C₂×M₁₆	—	5	1	no	—
1040	C₂×M₁₆	—	5	1	no	—
1041	C₂×M₁₆	C₂²×D₅	1	1	yes	characteristic
1042	C₂²×C₈	—	5	1	no	—
1043	C₂²×C₈	—	5	1	no	—
1044	C₂²×C₈	—	5	1	no	—
1045	C₂²×C₈	—	5	1	no	—
1046	C₂²×C₈	—	5	1	no	—
1047	C₂²×C₈	C₂²×D₅	1	1	yes	characteristic
1048	C₄⋊Q₈	—	5	1	no	—
1049	C₄⋊Q₈	—	5	1	no	—
1050	C₄⋊Q₈	—	5	1	no	—
1051	C₄⋊Q₈	—	5	1	no	—
1052	C₄⋊Q₈	—	10	1	no	—
1053	C₄⋊Q₈	—	10	1	no	—
1054	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1055	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1056	#127	—	5	1	no	—
1057	#127	—	5	1	no	—
1058	#126	—	2	1	no	—
1059	#126	—	2	1	no	—
1060	#126	—	2	1	no	—
1061	#126	—	10	1	no	—
1062	#126	—	10	1	no	—
1063	#126	—	10	1	no	—
1064	#126	—	10	1	no	—
1065	#126	—	10	1	no	—
1066	#126	—	10	1	no	—
1067	#126	—	10	1	no	—
1068	#126	—	10	1	no	—
1069	#126	—	10	1	no	—
1070	#125	—	2	1	no	—
1071	#125	—	2	1	no	—
1072	#125	—	5	1	no	—
1073	#125	—	5	1	no	—
1074	#125	—	5	1	no	—
1075	#125	—	10	1	no	—
1076	#125	—	10	1	no	—
1077	#125	—	10	1	no	—
1078	#125	—	10	1	no	—
1079	#125	—	10	1	no	—
1080	#125	—	10	1	no	—
1081	#125	C₂²×D₅	1	1	yes	characteristic
1082	#124	—	2	1	no	—
1083	#124	—	5	1	no	—
1084	#124	—	5	1	no	—
1085	#124	—	5	1	no	—
1086	#124	—	10	1	no	—
1087	#124	—	10	1	no	—
1088	#124	—	10	1	no	—
1089	#124	—	10	1	no	—
1090	#124	—	10	1	no	—
1091	#124	C₂²×D₅	1	1	yes	characteristic
1092	#123	—	2	1	no	—
1093	#123	—	10	1	no	—
1094	#123	—	10	1	no	—
1095	#123	—	10	1	no	—
1096	#123	—	10	1	no	—
1097	#123	—	10	1	no	—
1098	#123	—	10	1	no	—
1099	#123	—	10	1	no	—
1100	#123	—	10	1	no	—
1101	#123	—	10	1	no	—
1102	#123	—	10	1	no	—
1103	#123	—	10	1	no	—
1104	C₂²⋊Q₈	—	2	1	no	—
1105	C₂²⋊Q₈	—	5	1	no	—
1106	C₂²⋊Q₈	—	5	1	no	—
1107	C₂²⋊Q₈	—	5	1	no	—
1108	C₂²⋊Q₈	—	5	1	no	—
1109	C₂²⋊Q₈	—	5	1	no	—
1110	C₂²⋊Q₈	—	10	1	no	—
1111	C₂²⋊Q₈	—	10	1	no	—
1112	C₂²⋊Q₈	—	10	1	no	—
1113	C₂²⋊Q₈	—	10	1	no	—
1114	C₂²⋊Q₈	—	10	1	no	—
1115	C₂²⋊Q₈	—	10	1	no	—
1116	C₂²⋊Q₈	—	10	1	no	—
1117	C₂²⋊Q₈	—	10	1	no	—
1118	C₂²⋊Q₈	—	10	1	no	—
1119	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1120	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1121	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1122	#121	—	5	1	no	—
1123	#121	—	5	1	no	—
1124	#121	—	5	1	no	—
1125	#121	—	5	1	no	—
1126	#121	—	5	1	no	—
1127	#121	—	5	1	no	—
1128	#121	—	5	1	no	—
1129	#121	—	10	1	no	—
1130	#121	—	10	1	no	—
1131	#121	—	10	1	no	—
1132	#121	—	10	1	no	—
1133	#121	—	10	1	no	—
1134	#121	—	10	1	no	—
1135	#121	—	10	1	no	—
1136	#121	—	10	1	no	—
1137	#121	—	10	1	no	—
1138	#121	—	10	1	no	—
1139	#121	—	10	1	no	—
1140	#121	—	10	1	no	—
1141	#121	—	10	1	no	—
1142	#121	—	10	1	no	—
1143	#121	—	10	1	no	—
1144	#121	—	10	1	no	—
1145	#121	—	10	1	no	—
1146	#121	—	10	1	no	—
1147	#121	—	10	1	no	—
1148	#121	—	10	1	no	—
1149	#121	—	10	1	no	—
1150	#121	—	10	1	no	—
1151	#121	C₂²×D₅	1	1	yes	characteristic
1152	C₄×Q₈	—	5	1	no	—
1153	C₄×Q₈	—	5	1	no	—
1154	C₄×Q₈	—	5	1	no	—
1155	C₄×Q₈	—	5	1	no	—
1156	C₄×Q₈	—	5	1	no	—
1157	C₄×Q₈	—	5	1	no	—
1158	C₄×Q₈	—	5	1	no	—
1159	C₄×Q₈	—	10	1	no	—
1160	C₄×Q₈	—	10	1	no	—
1161	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1162	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1163	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1164	C₄×D₄	—	5	1	no	—
1165	C₄×D₄	—	5	1	no	—
1166	C₄×D₄	—	5	1	no	—
1167	C₄×D₄	—	5	1	no	—
1168	C₄×D₄	—	5	1	no	—
1169	C₄×D₄	—	5	1	no	—
1170	C₄×D₄	—	5	1	no	—
1171	C₄×D₄	—	5	1	no	—
1172	C₄×D₄	—	5	1	no	—
1173	C₄×D₄	—	5	1	no	—
1174	C₄×D₄	—	5	1	no	—
1175	C₄×D₄	—	5	1	no	—
1176	C₄×D₄	—	5	1	no	—
1177	C₄×D₄	—	10	1	no	—
1178	C₄×D₄	—	10	1	no	—
1179	C₄×D₄	—	10	1	no	—
1180	C₄×D₄	—	10	1	no	—
1181	C₄×D₄	—	10	1	no	—
1182	C₄×D₄	—	10	1	no	—
1183	C₄×D₄	—	10	1	no	—
1184	C₄×D₄	—	10	1	no	—
1185	C₄×D₄	—	10	1	no	—
1186	C₄×D₄	—	10	1	no	—
1187	C₄×D₄	—	10	1	no	—
1188	C₄×D₄	—	10	1	no	—
1189	C₄×D₄	—	10	1	no	—
1190	C₄×D₄	—	10	1	no	—
1191	C₄×D₄	—	10	1	no	—
1192	C₄×D₄	—	10	1	no	—
1193	C₄×D₄	—	10	1	no	—
1194	C₄×D₄	—	10	1	no	—
1195	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1196	#117	—	5	1	no	—
1197	#117	—	5	1	no	—
1198	#117	—	10	1	no	—
1199	#117	—	10	1	no	—
1200	#117	—	10	1	no	—
1201	#117	—	10	1	no	—
1202	#117	—	10	1	no	—
1203	#117	—	10	1	no	—
1204	#117	—	10	1	no	—
1205	#117	—	10	1	no	—
1206	#117	—	10	1	no	—
1207	#117	—	10	1	no	—
1208	#117	C₂²×D₅	1	1	yes	characteristic
1209	C₂×C₄⋊C₄	—	5	1	no	—
1210	C₂×C₄⋊C₄	—	5	1	no	—
1211	C₂×C₄⋊C₄	—	5	1	no	—
1212	C₂×C₄⋊C₄	—	5	1	no	—
1213	C₂×C₄⋊C₄	—	10	1	no	—
1214	C₂×C₄⋊C₄	—	10	1	no	—
1215	C₂×C₄⋊C₄	—	10	1	no	—
1216	C₂×C₄⋊C₄	—	10	1	no	—
1217	C₂×C₄⋊C₄	—	10	1	no	—
1218	C₂×C₄⋊C₄	—	10	1	no	—
1219	C₂×C₄⋊C₄	—	10	1	no	—
1220	C₂×C₄²	—	5	1	no	—
1221	C₂×C₄²	—	5	1	no	—
1222	C₂×C₄²	—	5	1	no	—
1223	#107	—	5	1	no	—
1224	#107	—	5	1	no	—
1225	#107	—	5	1	no	—
1226	#107	—	5	1	no	—
1227	#107	—	5	1	no	—
1228	#107	—	5	1	no	—
1229	#107	C₂²×D₅	1	1	yes	characteristic
1230	#107	C₂²×D₅	1	1	yes	characteristic
1231	#106	—	5	1	no	—
1232	#106	—	5	1	no	—
1233	#106	—	5	1	no	—
1234	#106	—	5	1	no	—
1235	#106	—	5	1	no	—
1236	#106	—	5	1	no	—
1237	#106	C₂²×D₅	1	1	yes	characteristic
1238	#106	C₂²×D₅	1	1	yes	characteristic
1239	#103	—	5	1	no	—
1240	#103	—	5	1	no	—
1241	#103	—	5	1	no	—
1242	#103	—	5	1	no	—
1243	#103	—	5	1	no	—
1244	#103	—	5	1	no	—
1245	#103	—	5	1	no	—
1246	#103	—	5	1	no	—
1247	#103	—	5	1	no	—
1248	#103	—	5	1	no	—
1249	#103	C₂²×D₅	1	1	yes	characteristic
1250	#103	C₂²×D₅	1	1	yes	characteristic
1251	#103	C₂²×D₅	1	1	yes	characteristic
1252	#103	C₂²×D₅	1	1	yes	characteristic
1253	#103	C₂²×D₅	1	1	yes	characteristic
1254	#103	C₂²×D₅	1	1	yes	characteristic
1255	#102	—	5	1	no	—
1256	#102	—	5	1	no	—
1257	#102	—	5	1	no	—
1258	#102	—	5	1	no	—
1259	#102	—	5	1	no	—
1260	#102	—	5	1	no	—
1261	#102	—	5	1	no	—
1262	#102	—	5	1	no	—
1263	#102	—	5	1	no	—
1264	#102	—	5	1	no	—
1265	#102	—	5	1	no	—
1266	#102	—	5	1	no	—
1267	#102	—	5	1	no	—
1268	#102	—	5	1	no	—
1269	#102	C₂²×D₅	1	1	yes	characteristic
1270	#102	C₂²×D₅	1	1	yes	characteristic
1271	#97	—	5	1	no	—
1272	#97	—	5	1	no	—
1273	#97	—	5	1	no	—
1274	#97	—	5	1	no	—
1275	#97	—	5	1	no	—
1276	#97	—	5	1	no	—
1277	#97	—	5	1	no	—
1278	#97	—	5	1	no	—
1279	#97	C₂²×D₅	1	1	yes	characteristic
1280	#97	C₂²×D₅	1	1	yes	characteristic
1281	C₄×C₈	—	5	1	no	—
1282	C₄×C₈	—	5	1	no	—
1283	C₄×C₈	—	5	1	no	—
1284	C₄×C₈	—	5	1	no	—
1285	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
1286	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
1287	C₂²×C₅	—	2	1	no	—
1288	C₂²×C₅	—	2	1	no	—
1289	C₂²×C₅	—	2	1	no	—
1290	C₂²×C₅	—	4	1	no	—
1291	C₂²×C₅	—	4	1	no	—
1292	C₂²×C₅	—	4	1	no	—
1293	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1294	C₂×D₅	—	2	1	no	—
1295	C₂×D₅	—	2	1	no	—
1296	C₂×D₅	—	2	1	no	—
1297	C₂×D₅	—	2	1	no	—
1298	C₂×D₅	—	2	1	no	—
1299	C₂×D₅	—	4	1	no	—
1300	C₂×D₅	—	4	1	no	—
1301	C₂×D₅	—	4	1	no	—
1302	C₂×D₅	—	4	1	no	—
1303	C₂×D₅	—	4	1	no	—
1304	C₂×D₅	—	4	1	no	—
1305	C₂×D₅	—	4	1	no	—
1306	C₂×D₅	—	4	1	no	—
1307	C₂×D₅	—	4	1	no	—
1308	C₂×D₅	#532	1	2	yes	—
1309	C₄×C₅	—	2	1	no	—
1310	C₄×C₅	—	2	1	no	—
1311	C₄×C₅	—	2	1	no	—
1312	C₄×C₅	—	2	1	no	—
1313	C₄×C₅	—	2	1	no	—
1314	C₄×C₅	—	4	1	no	—
1315	C₄×C₅	—	4	1	no	—
1316	C₄×C₅	—	4	1	no	—
1317	C₄×C₅	—	4	1	no	—
1318	C₄×C₅	—	4	1	no	—
1319	C₄×C₅	—	4	1	no	—
1320	C₄×C₅	—	4	1	no	—
1321	C₄×C₅	C₂²×#41	1	1	yes	characteristic
1322	C₄×C₅	C₂²×#41	1	1	yes	characteristic
1323	Dic₅	—	2	1	no	—
1324	Dic₅	—	2	1	no	—
1325	Dic₅	—	2	1	no	—
1326	Dic₅	—	2	1	no	—
1327	Dic₅	—	2	1	no	—
1328	Dic₅	—	4	1	no	—
1329	Dic₅	—	4	1	no	—
1330	Dic₅	—	4	1	no	—
1331	Dic₅	—	4	1	no	—
1332	Dic₅	—	4	1	no	—
1333	Dic₅	#532	1	2	yes	—
1334	#41	—	10	2	no	—
1335	#41	—	10	2	no	—
1336	#41	—	10	2	no	—
1337	#41	—	10	2	no	—
1338	#41	—	10	2	no	—
1339	#41	—	10	2	no	—
1340	#41	—	10	2	no	—
1341	#41	—	10	2	no	—
1342	#41	—	10	2	no	—
1343	#41	—	10	2	no	—
1344	#41	—	40	2	no	—
1345	#41	—	40	2	no	—
1346	C₂×Q₈	—	2	1	no	—
1347	C₂×Q₈	—	5	1	no	—
1348	C₂×Q₈	—	5	1	no	—
1349	C₂×Q₈	—	10	1	no	—
1350	C₂×Q₈	—	10	1	no	—
1351	C₂×Q₈	—	10	1	no	—
1352	C₂×Q₈	—	40	2	no	—
1353	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1354	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1355	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1356	C₂×D₄	—	2	1	no	—
1357	C₂×D₄	—	5	1	no	—
1358	C₂×D₄	—	5	1	no	—
1359	C₂×D₄	—	5	1	no	—
1360	C₂×D₄	—	5	1	no	—
1361	C₂×D₄	—	5	1	no	—
1362	C₂×D₄	—	5	1	no	—
1363	C₂×D₄	—	10	1	no	—
1364	C₂×D₄	—	10	1	no	—
1365	C₂×D₄	—	10	1	no	—
1366	C₂×D₄	—	10	1	no	—
1367	C₂×D₄	—	10	1	no	—
1368	C₂×D₄	—	10	1	no	—
1369	C₂×D₄	—	10	1	no	—
1370	C₂×D₄	—	10	1	no	—
1371	C₂×D₄	—	10	1	no	—
1372	C₂×D₄	—	10	1	no	—
1373	C₂×D₄	—	10	1	no	—
1374	C₂×D₄	—	10	1	no	—
1375	C₂×D₄	—	10	1	no	—
1376	C₂×D₄	—	10	1	no	—
1377	C₂×D₄	—	10	1	no	—
1378	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1379	C₂²×C₄	—	2	1	no	—
1380	C₂²×C₄	—	5	1	no	—
1381	C₂²×C₄	—	5	1	no	—
1382	C₂²×C₄	—	5	1	no	—
1383	C₂²×C₄	—	5	1	no	—
1384	C₂²×C₄	—	5	1	no	—
1385	C₂²×C₄	—	5	1	no	—
1386	C₂²×C₄	—	5	1	no	—
1387	C₂²×C₄	—	5	1	no	—
1388	C₂²×C₄	—	10	1	no	—
1389	C₂²×C₄	—	10	1	no	—
1390	C₂²×C₄	—	10	1	no	—
1391	C₂²×C₄	—	10	1	no	—
1392	C₂²×C₄	—	10	1	no	—
1393	C₂²×C₄	—	10	1	no	—
1394	C₂²×C₄	—	10	1	no	—
1395	C₂²×C₄	—	10	1	no	—
1396	C₂²×C₄	—	10	1	no	—
1397	C₂²×C₄	—	10	1	no	—
1398	C₂²×C₄	—	10	1	no	—
1399	C₂²×C₄	—	10	1	no	—
1400	C₂²×C₄	—	10	1	no	—
1401	C₂²×C₄	—	10	1	no	—
1402	C₂²×C₄	—	10	1	no	—
1403	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1404	Q₁₆	—	2	2	no	—
1405	Q₁₆	—	2	2	no	—
1406	Q₁₆	—	10	2	no	—
1407	Q₁₆	—	10	2	no	—
1408	SD₁₆	—	2	2	no	—
1409	SD₁₆	—	2	2	no	—
1410	SD₁₆	—	10	2	no	—
1411	SD₁₆	—	10	2	no	—
1412	SD₁₆	—	10	2	no	—
1413	SD₁₆	—	10	2	no	—
1414	SD₁₆	—	10	2	no	—
1415	SD₁₆	—	10	2	no	—
1416	D₈	—	10	2	no	—
1417	D₈	—	10	2	no	—
1418	D₈	—	10	2	no	—
1419	D₈	—	10	2	no	—
1420	M₁₆	—	2	2	no	—
1421	M₁₆	—	10	2	no	—
1422	M₁₆	—	10	2	no	—
1423	M₁₆	—	10	2	no	—
1424	M₁₆	—	10	2	no	—
1425	M₁₆	—	10	2	no	—
1426	C₂×C₈	—	2	2	no	—
1427	C₂×C₈	—	5	1	no	—
1428	C₂×C₈	—	5	1	no	—
1429	C₂×C₈	—	5	4	no	—
1430	C₂×C₈	—	5	4	no	—
1431	C₂×C₈	—	5	1	no	—
1432	C₂×C₈	—	5	1	no	—
1433	C₂×C₈	—	10	2	no	—
1434	C₂×C₈	—	10	2	no	—
1435	C₂×C₈	—	10	2	no	—
1436	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1437	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1438	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1439	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1440	C₄⋊C₄	—	2	1	no	—
1441	C₄⋊C₄	—	2	1	no	—
1442	C₄⋊C₄	—	2	1	no	—
1443	C₄⋊C₄	—	2	1	no	—
1444	C₄⋊C₄	—	2	1	no	—
1445	C₄⋊C₄	—	2	1	no	—
1446	C₄⋊C₄	—	2	1	no	—
1447	C₄⋊C₄	—	2	1	no	—
1448	C₄⋊C₄	—	2	1	no	—
1449	C₄⋊C₄	—	2	1	no	—
1450	C₄⋊C₄	—	2	1	no	—
1451	C₄⋊C₄	—	5	1	no	—
1452	C₄⋊C₄	—	5	1	no	—
1453	C₄⋊C₄	—	5	1	no	—
1454	C₄⋊C₄	—	5	1	no	—
1455	C₄⋊C₄	—	5	1	no	—
1456	C₄⋊C₄	—	5	1	no	—
1457	C₄⋊C₄	—	5	1	no	—
1458	C₄⋊C₄	—	5	1	no	—
1459	C₄⋊C₄	—	10	1	no	—
1460	C₄⋊C₄	—	10	1	no	—
1461	C₄⋊C₄	—	10	1	no	—
1462	C₄⋊C₄	—	10	1	no	—
1463	C₄⋊C₄	—	10	1	no	—
1464	C₄⋊C₄	—	10	1	no	—
1465	C₄⋊C₄	—	10	1	no	—
1466	C₄⋊C₄	—	10	1	no	—
1467	C₄⋊C₄	—	10	1	no	—
1468	C₄⋊C₄	—	10	1	no	—
1469	C₄⋊C₄	—	10	1	no	—
1470	C₄⋊C₄	—	10	1	no	—
1471	C₄⋊C₄	—	10	1	no	—
1472	C₄⋊C₄	—	10	1	no	—
1473	C₄⋊C₄	—	10	1	no	—
1474	C₄⋊C₄	—	10	1	no	—
1475	C₄⋊C₄	—	10	1	no	—
1476	C₄⋊C₄	—	10	1	no	—
1477	C₄⋊C₄	—	10	1	no	—
1478	C₄⋊C₄	—	10	1	no	—
1479	C₄⋊C₄	—	10	1	no	—
1480	C₄⋊C₄	—	10	1	no	—
1481	C₄⋊C₄	—	10	1	no	—
1482	C₄⋊C₄	—	10	1	no	—
1483	C₄⋊C₄	—	10	1	no	—
1484	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1485	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1486	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1487	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1488	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1489	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1490	C₂²⋊C₄	—	2	1	no	—
1491	C₂²⋊C₄	—	2	1	no	—
1492	C₂²⋊C₄	—	2	1	no	—
1493	C₂²⋊C₄	—	2	1	no	—
1494	C₂²⋊C₄	—	2	1	no	—
1495	C₂²⋊C₄	—	2	1	no	—
1496	C₂²⋊C₄	—	2	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	—	10	1	no	—
1502	C₂²⋊C₄	—	10	1	no	—
1503	C₂²⋊C₄	—	10	1	no	—
1504	C₂²⋊C₄	—	10	1	no	—
1505	C₂²⋊C₄	—	10	1	no	—
1506	C₂²⋊C₄	—	10	1	no	—
1507	C₂²⋊C₄	—	10	1	no	—
1508	C₂²⋊C₄	—	10	1	no	—
1509	C₂²⋊C₄	—	10	1	no	—
1510	C₂²⋊C₄	—	10	1	no	—
1511	C₂²⋊C₄	—	10	1	no	—
1512	C₂²⋊C₄	—	10	1	no	—
1513	C₂²⋊C₄	—	10	1	no	—
1514	C₂²⋊C₄	—	10	1	no	—
1515	C₂²⋊C₄	—	10	1	no	—
1516	C₂²⋊C₄	—	10	1	no	—
1517	C₂²⋊C₄	—	10	1	no	—
1518	C₂²⋊C₄	—	10	1	no	—
1519	C₂²⋊C₄	—	10	1	no	—
1520	C₂²⋊C₄	—	10	1	no	—
1521	C₂²⋊C₄	—	10	1	no	—
1522	C₂²⋊C₄	—	10	1	no	—
1523	C₂²⋊C₄	—	10	1	no	—
1524	C₂²⋊C₄	—	10	1	no	—
1525	C₂²⋊C₄	—	10	1	no	—
1526	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1527	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1528	C₄²	—	2	1	no	—
1529	C₄²	—	2	1	no	—
1530	C₄²	—	2	1	no	—
1531	C₄²	—	5	1	no	—
1532	C₄²	—	5	1	no	—
1533	C₄²	—	5	1	no	—
1534	C₄²	—	5	1	no	—
1535	C₄²	—	5	1	no	—
1536	C₄²	—	5	1	no	—
1537	C₄²	—	5	1	no	—
1538	C₄²	—	5	1	no	—
1539	C₄²	—	10	1	no	—
1540	C₄²	—	10	1	no	—
1541	C₄²	—	10	1	no	—
1542	C₄²	—	10	1	no	—
1543	C₄²	—	10	1	no	—
1544	C₄²	C₂³×D₅	1	1	yes	characteristic
1545	C₄²	C₂³×D₅	1	1	yes	characteristic
1546	C₂×C₅	—	4	1	no	—
1547	C₂×C₅	—	8	1	no	—
1548	C₂×C₅	C₂×#532	1	1	yes	characteristic
1549	C₂×C₅	#3585	1	1	yes	characteristic
1550	C₂×C₅	#3586	1	1	yes	characteristic
1551	D₅	—	2	2	no	—
1552	D₅	—	4	1	no	—
1553	D₅	—	8	1	no	—
1554	D₅	—	8	1	no	—
1555	D₅	—	8	1	no	—
1556	C₂³	—	2	1	no	—
1557	C₂³	—	5	1	no	—
1558	C₂³	—	5	1	no	—
1559	C₂³	—	10	1	no	—
1560	C₂³	—	10	1	no	—
1561	C₂³	—	10	1	no	—
1562	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1563	Q₈	—	2	1	no	—
1564	Q₈	—	2	1	no	—
1565	Q₈	—	2	1	no	—
1566	Q₈	—	2	1	no	—
1567	Q₈	—	2	1	no	—
1568	Q₈	—	2	1	no	—
1569	Q₈	—	8	1	no	—
1570	Q₈	—	10	2	no	—
1571	Q₈	—	10	1	no	—
1572	Q₈	—	10	1	no	—
1573	Q₈	—	20	2	no	—
1574	Q₈	—	20	2	no	—
1575	Q₈	—	40	1	no	—
1576	D₄	—	2	1	no	—
1577	D₄	—	2	1	no	—
1578	D₄	—	8	1	no	—
1579	D₄	—	10	2	no	—
1580	D₄	—	10	2	no	—
1581	D₄	—	10	2	no	—
1582	D₄	—	10	1	no	—
1583	D₄	—	10	1	no	—
1584	D₄	—	10	1	no	—
1585	D₄	—	10	1	no	—
1586	D₄	—	10	1	no	—
1587	D₄	—	10	1	no	—
1588	D₄	—	20	2	no	—
1589	D₄	—	20	2	no	—
1590	D₄	—	20	2	no	—
1591	D₄	—	20	2	no	—
1592	D₄	—	20	2	no	—
1593	D₄	—	20	2	no	—
1594	D₄	—	40	1	no	—
1595	D₄	—	40	1	no	—
1596	D₄	—	40	1	no	—
1597	D₄	—	40	1	no	—
1598	D₄	—	40	1	no	—
1599	D₄	—	40	1	no	—
1600	D₄	—	40	1	no	—
1601	D₄	—	40	1	no	—
1602	D₄	—	40	1	no	—
1603	C₂×C₄	—	2	1	no	—
1604	C₂×C₄	—	2	1	no	—
1605	C₂×C₄	—	2	1	no	—
1606	C₂×C₄	—	2	1	no	—
1607	C₂×C₄	—	2	1	no	—
1608	C₂×C₄	—	2	1	no	—
1609	C₂×C₄	—	2	1	no	—
1610	C₂×C₄	—	2	1	no	—
1611	C₂×C₄	—	2	1	no	—
1612	C₂×C₄	—	5	1	no	—
1613	C₂×C₄	—	5	2	no	—
1614	C₂×C₄	—	5	2	no	—
1615	C₂×C₄	—	5	1	no	—
1616	C₂×C₄	—	5	1	no	—
1617	C₂×C₄	—	5	1	no	—
1618	C₂×C₄	—	5	1	no	—
1619	C₂×C₄	—	5	1	no	—
1620	C₂×C₄	—	8	1	no	—
1621	C₂×C₄	—	10	1	no	—
1622	C₂×C₄	—	10	1	no	—
1623	C₂×C₄	—	10	1	no	—
1624	C₂×C₄	—	10	1	no	—
1625	C₂×C₄	—	10	1	no	—
1626	C₂×C₄	—	10	1	no	—
1627	C₂×C₄	—	10	1	no	—
1628	C₂×C₄	—	20	1	no	—
1629	C₂×C₄	—	20	1	no	—
1630	C₂×C₄	—	20	1	no	—
1631	C₂×C₄	—	20	1	no	—
1632	C₂×C₄	—	20	2	no	—
1633	C₂×C₄	—	20	2	no	—
1634	C₂×C₄	—	20	2	no	—
1635	C₂×C₄	—	20	2	no	—
1636	C₂×C₄	—	20	1	no	—
1637	C₂×C₄	—	20	1	no	—
1638	C₂×C₄	—	40	1	no	—
1639	C₂×C₄	—	40	1	no	—
1640	C₂×C₄	—	40	1	no	—
1641	C₂×C₄	—	40	1	no	—
1642	C₂×C₄	—	40	1	no	—
1643	C₂×C₄	—	40	1	no	—
1644	C₂×C₄	—	40	1	no	—
1645	C₂×C₄	—	40	1	no	—
1646	C₂×C₄	—	40	1	no	—
1647	C₂×C₄	—	40	1	no	—
1648	C₂×C₄	—	40	1	no	—
1649	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1650	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1651	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1652	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1653	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1654	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1655	C₈	—	2	1	no	—
1656	C₈	—	2	1	no	—
1657	C₈	—	5	2	no	—
1658	C₈	—	5	2	no	—
1659	C₈	—	10	1	no	—
1660	C₈	—	10	1	no	—
1661	C₈	D₅×#41	1	2	yes	—
1662	C₈	D₅×#41	1	2	yes	—
1663	C₅	#60721	1	1	yes	characteristic, complemented, Sylow
1664	C₂²	—	2	1	no	—
1665	C₂²	—	2	1	no	—
1666	C₂²	—	2	1	no	—
1667	C₂²	—	4	1	no	—
1668	C₂²	—	4	1	no	—
1669	C₂²	—	4	1	no	—
1670	C₂²	—	5	2	no	—
1671	C₂²	—	10	1	no	—
1672	C₂²	—	10	1	no	—
1673	C₂²	—	10	1	no	—
1674	C₂²	—	10	1	no	—
1675	C₂²	—	10	1	no	—
1676	C₂²	—	20	1	no	—
1677	C₂²	—	20	1	no	—
1678	C₂²	—	20	1	no	—
1679	C₂²	—	20	1	no	—
1680	C₂²	—	20	1	no	—
1681	C₂²	—	20	1	no	—
1682	C₂²	—	20	1	no	—
1683	C₂²	—	20	1	no	—
1684	C₂²	—	20	1	no	—
1685	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1686	C₄	—	2	1	no	—
1687	C₄	—	2	1	no	—
1688	C₄	—	2	1	no	—
1689	C₄	—	2	1	no	—
1690	C₄	—	2	1	no	—
1691	C₄	—	4	1	no	—
1692	C₄	—	4	1	no	—
1693	C₄	—	4	1	no	—
1694	C₄	—	4	1	no	—
1695	C₄	—	4	1	no	—
1696	C₄	—	4	1	no	—
1697	C₄	—	4	1	no	—
1698	C₄	—	5	2	no	—
1699	C₄	—	10	1	no	—
1700	C₄	—	10	1	no	—
1701	C₄	—	10	1	no	—
1702	C₄	—	10	1	no	—
1703	C₄	—	10	1	no	—
1704	C₄	—	20	1	no	—
1705	C₄	—	20	1	no	—
1706	C₄	—	20	1	no	—
1707	C₄	—	20	1	no	—
1708	C₄	—	20	1	no	—
1709	C₄	C₂×D₅×#41	1	1	yes	characteristic
1710	C₄	C₂×D₅×#41	1	1	yes	characteristic
1711	C₂	—	4	1	no	—
1712	C₂	—	8	1	no	—
1713	C₂	—	10	2	no	—
1714	C₂	—	20	1	no	—
1715	C₂	—	40	1	no	—
1716	C₂	—	40	1	no	—
1717	C₂	—	40	1	no	—
1718	C₂	D₅×#532	1	1	yes	characteristic
1719	C₂	#10619108	1	1	yes	characteristic
1720	C₂	#10619112	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×#3178	C₂
socle	C₂²×C₅	C₂³×D₄
hypercenter	#3178	D₅
hypocenter	C₅	#60721
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ #117 ◁ #3178

Complements

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

N	H ≅ G/N	type
1. #10618427	C₂	semidirect
2. #10618398	C₂	semidirect
3. C₅×#3178	C₂	semidirect
4. #10615190	C₂	semidirect
5. #10615176	C₂	semidirect
6. D₅×#501	C₂	semidirect
7. #10613692	C₂	semidirect
8. #10613600	C₂	semidirect
9. #10613593	C₂	semidirect
10. #10613372	C₂	semidirect
11. #10613361	C₂	semidirect
12. #10613332	C₂	semidirect
13. #10613325	C₂	semidirect
14. #10612637	C₂	semidirect
15. #10612619	C₂	semidirect
16. #10612539	C₂	semidirect
17. #10612515	C₂	semidirect
18. #10612492	C₂	semidirect
19. #10612476	C₂	semidirect
20. #10612391	C₂	semidirect
21. #10612369	C₂	semidirect
22. #10611568	C₂	semidirect
23. #10611563	C₂	semidirect
24. #10611521	C₂	semidirect
25. #10611509	C₂	semidirect
26. #10611457	C₂	semidirect
27. #10611452	C₂	semidirect
28. #10611395	C₂	semidirect
29. #10611381	C₂	semidirect
30. #10610309	C₂	semidirect
31. #10610281	C₂	semidirect
498. #3178	D₅	semidirect
726. C₈×D₅	#41	semidirect
727. C₈×D₅	#41	semidirect
1663. C₅	#60721	semidirect

Maximal subgroups

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

subgroup	index
#10618427	2
#10618398	2
C₅×#3178	2
#10615190	2
#10615176	2
D₅×#501	2
#10613692	2
#10613600	2
#10613593	2
#10613372	2
#10613361	2
#10613332	2
#10613325	2
#10612637	2
#10612619	2
#10612539	2
#10612515	2
#10612492	2
#10612476	2
#10612391	2
#10612369	2
#10611568	2
#10611563	2
#10611521	2
#10611509	2
#10611457	2
#10611452	2
#10611395	2
#10611381	2
#10610309	2
#10610281	2
#60721	5