Subgroups — #12985178

Order 1280.

2028 conjugacy classes of subgroups.

The subgroup lattice has 1834 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10619196	C₂	1	1	yes	maximal, characteristic
2	#10618260	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#3011	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615848	C₂	1	1	yes	maximal, characteristic, complemented
5	#10615727	C₂	1	1	yes	maximal, characteristic, complemented
6	#10615718	C₂	1	1	yes	maximal, characteristic, complemented
7	Q₁₆×C₂²⋊D₅	C₂	1	1	yes	maximal, characteristic, complemented
8	#10615619	C₂	1	1	yes	maximal, characteristic, complemented
9	#10615139	C₂	1	1	yes	maximal, characteristic, complemented
10	#10612005	C₂	1	1	yes	maximal, characteristic, complemented
11	#10611984	C₂	1	1	yes	maximal, characteristic, complemented
12	#10611977	C₂	1	1	yes	maximal, characteristic, complemented
13	#10611972	C₂	1	1	yes	maximal, characteristic, complemented
14	#10611959	C₂	1	1	yes	maximal, characteristic, complemented
15	D₅×#452	C₂	1	1	yes	maximal, characteristic, complemented
16	#10611948	C₂	1	1	yes	maximal, characteristic, complemented
17	#10611947	C₂	1	1	yes	maximal, characteristic, complemented
18	#10611942	C₂	1	1	yes	maximal, characteristic, complemented
19	#10611939	C₂	1	1	yes	maximal, characteristic, complemented
20	#10611930	C₂	1	1	yes	maximal, characteristic, complemented
21	#10611927	C₂	1	1	yes	maximal, characteristic, complemented
22	#10611920	C₂	1	1	yes	maximal, characteristic, complemented
23	#10611918	C₂	1	1	yes	maximal, characteristic, complemented
24	#10611911	C₂	1	1	yes	maximal, characteristic, complemented
25	#10611911	C₂	1	1	yes	maximal, characteristic, complemented
26	#10610702	C₂	1	1	yes	maximal, characteristic, complemented
27	#10610697	C₂	1	1	yes	maximal, characteristic, complemented
28	#10610588	C₂	1	1	yes	maximal, characteristic, complemented
29	#10610576	C₂	1	1	yes	maximal, characteristic, complemented
30	#10610412	C₂	1	1	yes	maximal, characteristic, complemented
31	#10610395	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₅×2₋¹⁺⁴	C₂²	1	1	yes	characteristic
33	C₂×D₅×#41	C₂²	1	1	yes	characteristic
34	C₂×C₅×#137	C₂²	1	1	yes	characteristic, complemented
35	C₂²×C₅×Q₁₆	C₂²	1	1	yes	characteristic, complemented
36	C₅×#536	C₂²	1	1	yes	characteristic, complemented
37	#66167	—	2	1	no	—
38	#66167	C₂²	1	1	yes	characteristic
39	#66163	—	2	1	no	—
40	#66163	—	2	1	no	—
41	#66163	C₂²	1	1	yes	characteristic
42	#66163	C₂²	1	1	yes	characteristic
43	#66162	—	2	1	no	—
44	#66162	C₂²	1	1	yes	characteristic
45	#66161	C₂²	1	1	yes	characteristic
46	#66159	C₂²	1	1	yes	characteristic, complemented
47	#66158	—	2	1	no	—
48	#66158	—	2	1	no	—
49	#66158	C₂²	1	1	yes	characteristic
50	#66158	C₂²	1	1	yes	characteristic
51	C₂×#4097	C₂²	1	1	yes	characteristic, complemented
52	#66151	C₂²	1	1	yes	characteristic
53	#66151	C₂²	1	1	yes	characteristic
54	#66150	—	2	1	no	—
55	#66150	C₂²	1	1	yes	characteristic
56	Q₈×C₂²⋊D₅	C₂²	1	1	yes	characteristic
57	Q₈×C₂²⋊D₅	C₂²	1	1	yes	characteristic
58	Q₈×C₂²⋊D₅	C₂²	1	1	yes	characteristic
59	Q₈×C₂²⋊D₅	C₂²	1	1	yes	characteristic, complemented
60	C₂×#4092	—	2	1	no	—
61	C₂×#4092	C₂²	1	1	yes	characteristic
62	C₂²×#689	C₂²	1	1	yes	characteristic, complemented
63	C₂×#4064	C₂²	1	1	yes	characteristic
64	C₂×D₅×Q₁₆	C₂²	1	1	yes	characteristic
65	C₂×#4061	C₂²	1	1	yes	characteristic
66	C₂×D₅×SD₁₆	C₂²	1	1	yes	characteristic
67	#66063	—	2	1	no	—
68	#66063	—	2	1	no	—
69	#66013	—	2	1	no	—
70	#66006	—	2	1	no	—
71	#65994	—	2	1	no	—
72	#65994	—	2	1	no	—
73	#65993	—	2	1	no	—
74	#65985	—	2	1	no	—
75	#65973	C₂²	1	1	yes	characteristic
76	#65973	C₂²	1	1	yes	characteristic, complemented
77	#65966	C₂²	1	1	yes	characteristic
78	#65966	C₂²	1	1	yes	characteristic, complemented
79	D₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
80	D₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
81	#65959	C₂²	1	1	yes	characteristic, complemented
82	#65959	C₂²	1	1	yes	characteristic, complemented
83	#65863	C₂²	1	1	yes	characteristic
84	#65863	C₂²	1	1	yes	characteristic, complemented
85	C₅×#452	C₂²	1	1	yes	characteristic
86	C₅×#452	C₂²	1	1	yes	characteristic
87	C₅×#452	C₂²	1	1	yes	characteristic, complemented
88	C₅×#452	C₂²	1	1	yes	characteristic, complemented
89	C₅×#451	C₂²	1	1	yes	characteristic, complemented
90	C₅×#451	C₂²	1	1	yes	characteristic, complemented
91	C₅×#451	C₂²	1	1	yes	characteristic, complemented
92	C₅×#451	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	C₅×#408	C₂²	1	1	yes	characteristic, complemented
96	#65528	C₂²	1	1	yes	characteristic
97	#65528	C₂²	1	1	yes	characteristic
98	#65528	C₂²	1	1	yes	characteristic, complemented
99	#65528	C₂²	1	1	yes	characteristic, complemented
100	#65523	C₂²	1	1	yes	characteristic, complemented
101	#65522	C₂²	1	1	yes	characteristic, complemented
102	#65517	C₂²	1	1	yes	characteristic, complemented
103	#65517	C₂²	1	1	yes	characteristic, complemented
104	#65517	C₂²	1	1	yes	characteristic, complemented
105	#65517	C₂²	1	1	yes	characteristic, complemented
106	#65517	C₂²	1	1	yes	characteristic, complemented
107	#65516	C₂²	1	1	yes	characteristic, complemented
108	#65514	C₂²	1	1	yes	characteristic, complemented
109	#65479	C₂²	1	1	yes	characteristic, complemented
110	#65479	C₂²	1	1	yes	characteristic, complemented
111	#65478	C₂²	1	1	yes	characteristic, complemented
112	#65478	C₂²	1	1	yes	characteristic, complemented
113	#65477	C₂²	1	1	yes	characteristic
114	#65477	C₂²	1	1	yes	characteristic
115	#65476	C₂²	1	1	yes	characteristic
116	#65475	C₂²	1	1	yes	characteristic
117	#65475	C₂²	1	1	yes	characteristic
118	#65475	C₂²	1	1	yes	characteristic
119	#65475	C₂²	1	1	yes	characteristic, complemented
120	#65475	C₂²	1	1	yes	characteristic, complemented
121	#65474	C₂²	1	1	yes	characteristic, complemented
122	#65474	C₂²	1	1	yes	characteristic, complemented
123	#65473	C₂²	1	1	yes	characteristic, complemented
124	Q₁₆×Dic₅	C₂²	1	1	yes	characteristic, complemented
125	#65471	C₂²	1	1	yes	characteristic, complemented
126	#65471	C₂²	1	1	yes	characteristic, complemented
127	#65471	C₂²	1	1	yes	characteristic, complemented
128	#65471	C₂²	1	1	yes	characteristic, complemented
129	#65470	C₂²	1	1	yes	characteristic, complemented
130	#65470	C₂²	1	1	yes	characteristic, complemented
131	#65462	C₂²	1	1	yes	characteristic
132	#65458	C₂²	1	1	yes	characteristic
133	#65453	C₂²	1	1	yes	characteristic, complemented
134	#65451	C₂²	1	1	yes	characteristic, complemented
135	#65451	C₂²	1	1	yes	characteristic, complemented
136	SD₁₆×Dic₅	C₂²	1	1	yes	characteristic, complemented
137	#65426	C₂²	1	1	yes	characteristic, complemented
138	#65423	C₂²	1	1	yes	characteristic, complemented
139	#65417	C₂²	1	1	yes	characteristic, complemented
140	#65416	C₂²	1	1	yes	characteristic
141	#65405	C₂²	1	1	yes	characteristic, complemented
142	#65403	C₂²	1	1	yes	characteristic, complemented
143	#65400	C₂²	1	1	yes	characteristic, complemented
144	C₈×C₂²⋊D₅	C₂²	1	1	yes	characteristic
145	#65341	C₂²	1	1	yes	characteristic, complemented
146	#65340	C₂²	1	1	yes	characteristic, complemented
147	#65338	C₂²	1	1	yes	characteristic, complemented
148	#65337	C₂²	1	1	yes	characteristic, complemented
149	#65336	C₂²	1	1	yes	characteristic
150	#65336	C₂²	1	1	yes	characteristic
151	#65333	C₂²	1	1	yes	characteristic, complemented
152	#65332	C₂²	1	1	yes	characteristic, complemented
153	#65292	C₂²	1	1	yes	characteristic, complemented
154	#65285	C₂²	1	1	yes	characteristic, complemented
155	#65105	C₂²	1	1	yes	characteristic, complemented
156	#65105	C₂²	1	1	yes	characteristic, complemented
157	#65102	C₂²	1	1	yes	characteristic
158	#65102	C₂²	1	1	yes	characteristic
159	#65099	C₂²	1	1	yes	characteristic
160	#65098	C₂²	1	1	yes	characteristic, complemented
161	#65098	C₂²	1	1	yes	characteristic, complemented
162	#65097	C₂²	1	1	yes	characteristic
163	#65094	C₂²	1	1	yes	characteristic
164	#65094	C₂²	1	1	yes	characteristic
165	#65092	C₂²	1	1	yes	characteristic
166	D₅×#103	C₂²	1	1	yes	characteristic
167	#65089	C₂²	1	1	yes	characteristic, complemented
168	#65089	C₂²	1	1	yes	characteristic, complemented
169	#65088	C₂²	1	1	yes	characteristic, complemented
170	#65087	C₂²	1	1	yes	characteristic, complemented
171	#65087	C₂²	1	1	yes	characteristic, complemented
172	#65086	C₂²	1	1	yes	characteristic, complemented
173	#65086	C₂²	1	1	yes	characteristic, complemented
174	#65085	C₂²	1	1	yes	characteristic, complemented
175	#65082	C₂²	1	1	yes	characteristic, complemented
176	#65082	C₂²	1	1	yes	characteristic, complemented
177	#65079	C₂²	1	1	yes	characteristic, complemented
178	#65078	C₂²	1	1	yes	characteristic, complemented
179	#65072	C₂²	1	1	yes	characteristic
180	#65065	C₂²	1	1	yes	characteristic
181	#65060	C₂²	1	1	yes	characteristic
182	D₅×#102	C₂²	1	1	yes	characteristic
183	#65055	C₂²	1	1	yes	characteristic, complemented
184	#65052	C₂²	1	1	yes	characteristic, complemented
185	#65047	C₂²	1	1	yes	characteristic, complemented
186	#65046	C₂²	1	1	yes	characteristic, complemented
187	#65028	C₂²	1	1	yes	characteristic, complemented
188	#65027	C₂²	1	1	yes	characteristic, complemented
189	#65026	C₂²	1	1	yes	characteristic, complemented
190	#65022	C₂²	1	1	yes	characteristic
191	#65022	C₂²	1	1	yes	characteristic
192	#65019	C₂²	1	1	yes	characteristic, complemented
193	#65018	C₂²	1	1	yes	characteristic, complemented
194	#65017	C₂²	1	1	yes	characteristic
195	#65015	C₂²	1	1	yes	characteristic
196	#65014	C₂²	1	1	yes	characteristic
197	D₅×C₂²⋊C₈	C₂²	1	1	yes	characteristic
198	#65012	C₂²	1	1	yes	characteristic, complemented
199	#65011	C₂²	1	1	yes	characteristic, complemented
200	#65010	C₂²	1	1	yes	characteristic, complemented
201	#65009	C₂²	1	1	yes	characteristic, complemented
202	#65009	C₂²	1	1	yes	characteristic, complemented
203	#61622	—	5	1	no	maximal, Sylow
204	C₅×2₋¹⁺⁴	—	4	2	no	—
205	C₅×2₋¹⁺⁴	—	4	2	no	—
206	C₂×C₅×#41	—	2	1	no	—
207	C₂×C₅×#41	—	2	1	no	—
208	C₂×C₅×#41	—	2	1	no	—
209	C₂×C₅×#41	C₂³	1	1	yes	characteristic
210	C₂×C₅×#41	C₂³	1	1	yes	characteristic
211	C₂×C₅×#41	C₂³	1	1	yes	characteristic
212	C₂×C₅×#41	C₂³	1	1	yes	characteristic
213	C₂²×C₅×Q₈	—	2	1	no	—
214	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
215	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
216	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
217	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
218	D₅×#41	—	4	2	no	—
219	D₅×#41	—	4	2	no	—
220	C₂×#713	C₂³	1	1	yes	characteristic
221	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
222	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
223	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
224	C₂×#711	—	2	1	no	—
225	C₂×#711	C₂³	1	1	yes	characteristic
226	C₂×D₄×D₅	—	2	1	no	—
227	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
228	C₂×#709	—	2	1	no	—
229	C₂×#709	C₂³	1	1	yes	characteristic
230	C₂²×C₄×D₅	—	2	1	no	—
231	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
232	C₂²×Dic₁₀	C₂³	1	1	yes	characteristic
233	C₅×#137	—	4	2	no	—
234	C₂×C₅×Q₁₆	—	4	2	no	—
235	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
236	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
237	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
238	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
239	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
240	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
241	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
242	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
243	C₂×C₅×M₁₆	C₂³	1	1	yes	characteristic
244	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
245	C₅×C₄⋊Q₈	—	2	1	no	—
246	C₅×#124	—	2	1	no	—
247	C₅×#123	—	2	1	no	—
248	C₅×#123	—	2	1	no	—
249	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
250	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
251	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
252	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
253	C₅×#117	C₂³	1	1	yes	characteristic
254	#4097	—	4	2	no	—
255	#4093	—	2	1	no	—
256	#4093	—	2	1	no	—
257	#4093	C₂³	1	1	yes	characteristic
258	#4093	C₂³	1	1	yes	characteristic
259	#4092	—	2	1	no	—
260	#4092	—	2	1	no	—
261	#4092	—	2	1	no	—
262	#4092	—	2	1	no	—
263	#4092	—	2	1	no	—
264	#4092	—	2	1	no	—
265	#4092	—	2	1	no	—
266	#4092	—	2	1	no	—
267	#4092	—	2	1	no	—
268	#4092	—	2	1	no	—
269	#4092	—	2	1	no	—
270	#4092	D₄	1	1	yes	characteristic
271	#4092	D₄	1	1	yes	characteristic
272	#4092	C₂³	1	1	yes	characteristic
273	#4092	C₂³	1	1	yes	characteristic
274	#4092	C₂³	1	1	yes	characteristic
275	#4092	C₂³	1	1	yes	characteristic
276	#4092	C₂³	1	1	yes	characteristic
277	#4092	C₂³	1	1	yes	characteristic
278	Q₈×Dic₅	C₂³	1	1	yes	characteristic
279	Q₈×Dic₅	C₂³	1	1	yes	characteristic
280	Q₈×Dic₅	C₂³	1	1	yes	characteristic
281	Q₈×Dic₅	C₂³	1	1	yes	characteristic
282	#4090	—	2	1	no	—
283	#4090	—	2	1	no	—
284	#4090	—	2	1	no	—
285	#4090	—	2	1	no	—
286	#4090	—	2	1	no	—
287	#4090	C₂³	1	1	yes	characteristic
288	#4090	C₂³	1	1	yes	characteristic
289	#4090	C₂³	1	1	yes	characteristic
290	#4090	C₂³	1	1	yes	characteristic
291	C₂×#689	—	4	2	no	—
292	C₂×#689	C₂³	1	1	yes	characteristic
293	C₂×#689	C₂³	1	1	yes	characteristic
294	C₂×#689	C₂³	1	1	yes	characteristic
295	C₂×#689	C₂³	1	1	yes	characteristic
296	C₂×#689	C₂³	1	1	yes	characteristic
297	C₂×#689	C₂³	1	1	yes	characteristic
298	C₂×#689	C₂³	1	1	yes	characteristic
299	C₂×#689	C₂³	1	1	yes	characteristic
300	C₂×#688	C₂³	1	1	yes	characteristic
301	C₂×#688	C₂³	1	1	yes	characteristic
302	#4085	—	2	1	no	—
303	#4085	—	2	1	no	—
304	#4085	—	2	1	no	—
305	#4085	—	2	1	no	—
306	#4085	—	2	1	no	—
307	#4085	—	2	1	no	—
308	#4084	—	2	1	no	—
309	#4084	D₄	1	1	yes	characteristic
310	#4084	D₄	1	1	yes	characteristic
311	#4083	—	2	1	no	—
312	#4083	—	2	1	no	—
313	#4083	D₄	1	1	yes	characteristic
314	#4083	D₄	1	1	yes	characteristic
315	#4082	—	2	1	no	—
316	#4081	—	2	1	no	—
317	#4081	—	2	1	no	—
318	#4081	—	2	1	no	—
319	#4081	—	2	1	no	—
320	#4081	D₄	1	1	yes	characteristic
321	#4081	D₄	1	1	yes	characteristic
322	D₄×Dic₅	—	2	1	no	—
323	D₄×Dic₅	—	2	1	no	—
324	D₄×Dic₅	C₂³	1	1	yes	characteristic
325	D₄×Dic₅	C₂³	1	1	yes	characteristic
326	C₂×#687	C₂³	1	1	yes	characteristic
327	C₂×#687	C₂³	1	1	yes	characteristic
328	#4076	—	2	1	no	—
329	#4076	—	2	1	no	—
330	#4076	C₂³	1	1	yes	characteristic
331	#4076	C₂³	1	1	yes	characteristic
332	#4075	—	2	1	no	—
333	#4075	—	2	1	no	—
334	#4075	—	2	1	no	—
335	#4075	—	2	1	no	—
336	#4075	—	2	1	no	—
337	#4075	—	2	1	no	—
338	C₄×C₂²⋊D₅	—	2	1	no	—
339	C₄×C₂²⋊D₅	—	2	1	no	—
340	C₄×C₂²⋊D₅	—	2	1	no	—
341	C₄×C₂²⋊D₅	—	2	1	no	—
342	C₄×C₂²⋊D₅	—	2	1	no	—
343	C₄×C₂²⋊D₅	—	2	1	no	—
344	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
345	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
346	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
347	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
348	C₂×#685	—	2	1	no	—
349	C₂×#685	—	2	1	no	—
350	C₂×#685	—	2	1	no	—
351	#4072	—	2	1	no	—
352	#4072	C₂³	1	1	yes	characteristic
353	#4072	C₂³	1	1	yes	characteristic
354	C₂×C₄⋊Dic₅	—	2	1	no	—
355	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
356	#4070	—	2	1	no	—
357	#4070	—	2	1	no	—
358	#4070	—	2	1	no	—
359	#4070	—	2	1	no	—
360	#4070	C₂³	1	1	yes	characteristic
361	#4070	C₂³	1	1	yes	characteristic
362	#4070	C₂³	1	1	yes	characteristic
363	#4070	C₂³	1	1	yes	characteristic
364	#4070	C₂³	1	1	yes	characteristic
365	#4070	C₂³	1	1	yes	characteristic
366	C₂×#683	—	2	1	no	—
367	C₂×#683	—	2	1	no	—
368	C₂×#683	—	2	1	no	—
369	C₂×#681	C₂³	1	1	yes	characteristic
370	C₂²×#168	C₂³	1	1	yes	characteristic
371	#4064	—	4	2	no	—
372	D₅×Q₁₆	—	4	2	no	—
373	#4061	—	4	2	no	—
374	D₅×SD₁₆	—	4	2	no	—
375	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
376	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
377	C₂×#677	C₂³	1	1	yes	characteristic
378	C₂×#677	C₂³	1	1	yes	characteristic
379	C₂×#676	C₂³	1	1	yes	characteristic
380	C₂×#676	C₂³	1	1	yes	characteristic
381	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
382	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
383	#4043	C₂³	1	1	yes	characteristic
384	#4043	C₂³	1	1	yes	characteristic
385	#4042	—	2	1	no	—
386	#4042	—	2	1	no	—
387	#4042	—	2	1	no	—
388	#4042	—	2	1	no	—
389	#4038	—	2	1	no	—
390	#4038	—	2	1	no	—
391	D₅×C₄⋊C₄	—	2	1	no	—
392	D₅×C₄⋊C₄	—	2	1	no	—
393	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
394	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
395	#4036	—	2	1	no	—
396	#4036	—	2	1	no	—
397	#4036	C₂³	1	1	yes	characteristic
398	#4036	C₂³	1	1	yes	characteristic
399	#4035	—	2	1	no	—
400	#4035	—	2	1	no	—
401	#4035	—	2	1	no	—
402	#4035	—	2	1	no	—
403	#4034	—	2	1	no	—
404	#4034	—	2	1	no	—
405	#4033	C₂³	1	1	yes	characteristic
406	#4033	C₂³	1	1	yes	characteristic
407	#4029	—	2	1	no	—
408	#4029	—	2	1	no	—
409	#4029	—	2	1	no	—
410	#4029	—	2	1	no	—
411	#4027	—	2	1	no	—
412	#4027	—	2	1	no	—
413	D₅×C₂²⋊C₄	—	2	1	no	—
414	D₅×C₂²⋊C₄	—	2	1	no	—
415	#4025	—	2	1	no	—
416	#4025	—	2	1	no	—
417	#4025	—	2	1	no	—
418	#4025	—	2	1	no	—
419	#4025	—	2	1	no	—
420	#4025	—	2	1	no	—
421	#4025	—	2	1	no	—
422	#4025	—	2	1	no	—
423	#4024	—	2	1	no	—
424	#4024	—	2	1	no	—
425	#4024	—	2	1	no	—
426	#4024	—	2	1	no	—
427	#4018	—	2	1	no	—
428	#4018	—	2	1	no	—
429	#4016	—	2	1	no	—
430	#4016	—	2	1	no	—
431	C₅×#103	C₂³	1	1	yes	characteristic
432	C₅×#103	C₂³	1	1	yes	characteristic
433	C₅×#103	C₂³	1	1	yes	characteristic
434	C₅×#103	C₂³	1	1	yes	characteristic
435	C₅×#103	C₂³	1	1	yes	characteristic
436	C₅×#103	C₂³	1	1	yes	characteristic
437	C₅×#102	C₂³	1	1	yes	characteristic
438	C₅×#102	C₂³	1	1	yes	characteristic
439	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
440	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
441	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
442	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
443	#3967	C₂³	1	1	yes	characteristic
444	#3967	C₂³	1	1	yes	characteristic
445	#3967	C₂³	1	1	yes	characteristic
446	#3967	C₂³	1	1	yes	characteristic
447	#3967	C₂³	1	1	yes	characteristic
448	#3967	C₂³	1	1	yes	characteristic
449	#3967	C₂³	1	1	yes	characteristic
450	#3967	C₂³	1	1	yes	characteristic
451	#3967	C₂³	1	1	yes	characteristic
452	#3967	C₂³	1	1	yes	characteristic
453	#3964	C₂³	1	1	yes	characteristic
454	#3964	C₂³	1	1	yes	characteristic
455	C₂²⋊#168	C₂³	1	1	yes	characteristic
456	C₂²⋊#168	C₂³	1	1	yes	characteristic
457	C₂²⋊#168	C₂³	1	1	yes	characteristic
458	C₂²⋊#168	C₂³	1	1	yes	characteristic
459	#3953	C₂³	1	1	yes	characteristic
460	#3953	C₂³	1	1	yes	characteristic
461	#3952	C₂³	1	1	yes	characteristic
462	#3952	C₂³	1	1	yes	characteristic
463	#3952	C₂³	1	1	yes	characteristic
464	#3952	C₂³	1	1	yes	characteristic
465	#3950	C₂³	1	1	yes	characteristic
466	#3950	C₂³	1	1	yes	characteristic
467	#3949	C₂³	1	1	yes	characteristic
468	#3949	C₂³	1	1	yes	characteristic
469	#3948	C₂³	1	1	yes	characteristic
470	#3948	C₂³	1	1	yes	characteristic
471	#3948	C₂³	1	1	yes	characteristic
472	#3948	C₂³	1	1	yes	characteristic
473	#3948	C₂³	1	1	yes	characteristic
474	#3948	C₂³	1	1	yes	characteristic
475	#3947	C₂³	1	1	yes	characteristic
476	#3947	C₂³	1	1	yes	characteristic
477	#3946	C₂³	1	1	yes	characteristic
478	#3946	C₂³	1	1	yes	characteristic
479	#3946	C₂³	1	1	yes	characteristic
480	#3946	C₂³	1	1	yes	characteristic
481	C₈×Dic₅	C₂³	1	1	yes	characteristic
482	C₈×Dic₅	C₂³	1	1	yes	characteristic
483	#3942	C₂³	1	1	yes	characteristic
484	#3942	C₂³	1	1	yes	characteristic
485	#3941	C₂³	1	1	yes	characteristic
486	#3941	C₂³	1	1	yes	characteristic
487	#3940	C₂³	1	1	yes	characteristic
488	#3940	C₂³	1	1	yes	characteristic
489	#3939	C₂³	1	1	yes	characteristic
490	#3939	C₂³	1	1	yes	characteristic
491	#3538	—	5	1	no	—
492	#3489	—	5	1	no	—
493	#3327	—	5	1	no	—
494	#3327	—	5	1	no	—
495	#3315	—	5	1	no	—
496	#3315	—	5	1	no	—
497	#3312	—	5	1	no	—
498	#3312	—	5	1	no	—
499	#3296	—	5	1	no	—
500	#3296	—	5	1	no	—
501	D₄×Q₁₆	—	5	1	no	—
502	D₄×Q₁₆	—	5	1	no	—
503	#3276	—	5	1	no	—
504	#3276	—	5	1	no	—
505	#3270	—	5	1	no	—
506	#3270	—	5	1	no	—
507	#3266	—	5	1	no	—
508	#3266	—	5	1	no	—
509	#3223	—	5	1	no	—
510	#3223	—	5	1	no	—
511	#3201	—	5	1	no	—
512	#3201	—	5	1	no	—
513	#3195	—	5	1	no	—
514	#3189	—	5	1	no	—
515	#3120	—	5	1	no	—
516	#3120	—	5	1	no	—
517	#3011	—	5	1	no	—
518	#3011	D₅	1	1	yes	characteristic, complemented
519	#3007	—	5	1	no	—
520	C₂×#452	—	5	1	no	—
521	#2976	—	5	1	no	—
522	C₂³×D₅	—	2	1	no	—
523	C₂³×D₅	C₂×D₄	1	1	yes	characteristic
524	C₅×#41	—	2	2	no	—
525	C₅×#41	—	2	2	no	—
526	C₅×#41	—	2	2	no	—
527	C₅×#41	—	2	2	no	—
528	C₅×#41	—	4	1	no	—
529	C₅×#41	—	4	1	no	—
530	C₅×#41	—	4	1	no	—
531	C₅×#41	—	4	1	no	—
532	C₅×#41	—	4	4	no	—
533	C₅×#41	—	4	4	no	—
534	C₅×#41	—	4	4	no	—
535	C₂×C₅×Q₈	—	2	1	no	—
536	C₂×C₅×Q₈	—	2	1	no	—
537	C₂×C₅×Q₈	—	2	1	no	—
538	C₂×C₅×Q₈	—	2	1	no	—
539	C₂×C₅×Q₈	—	2	2	no	—
540	C₂×C₅×Q₈	—	2	2	no	—
541	C₂×C₅×Q₈	—	4	1	no	—
542	C₂×C₅×Q₈	—	4	1	no	—
543	C₂×C₅×Q₈	—	4	1	no	—
544	C₂×C₅×Q₈	—	4	1	no	—
545	C₂×C₅×Q₈	—	4	4	no	—
546	C₂×C₅×Q₈	—	4	1	no	—
547	C₂×C₅×Q₈	—	4	1	no	—
548	C₂×C₅×Q₈	C₂×D₄	1	1	yes	characteristic
549	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
550	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
551	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
552	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
553	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
554	C₂×C₅×D₄	—	2	1	no	—
555	C₂×C₅×D₄	—	2	1	no	—
556	C₂×C₅×D₄	—	2	1	no	—
557	C₂×C₅×D₄	C₂×D₄	1	1	yes	characteristic
558	C₂×C₅×D₄	C₂×D₄	1	1	yes	characteristic
559	C₂×C₅×D₄	C₂×D₄	1	1	yes	characteristic
560	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
561	C₂²×C₄×C₅	—	2	1	no	—
562	C₂²×C₄×C₅	—	2	1	no	—
563	C₂²×C₄×C₅	—	2	1	no	—
564	C₂²×C₄×C₅	—	2	1	no	—
565	C₂²×C₄×C₅	—	2	1	no	—
566	C₂²×C₄×C₅	—	2	1	no	—
567	C₂²×C₄×C₅	—	2	1	no	—
568	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
569	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
570	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
571	C₂×C₂²⋊D₅	—	2	1	no	—
572	C₂×C₂²⋊D₅	—	2	1	no	—
573	C₂×C₂²⋊D₅	—	2	1	no	—
574	C₂×C₂²⋊D₅	—	2	1	no	—
575	C₂×C₂²⋊D₅	—	2	1	no	—
576	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
577	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
578	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
579	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
580	C₂²×Dic₅	—	2	1	no	—
581	C₂²×Dic₅	—	2	1	no	—
582	C₂²×Dic₅	—	2	1	no	—
583	C₂²×Dic₅	—	2	1	no	—
584	C₂²×Dic₅	—	2	1	no	—
585	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
586	#713	—	2	2	no	—
587	#713	—	4	1	no	—
588	Q₈×D₅	—	2	2	no	—
589	Q₈×D₅	—	4	1	no	—
590	Q₈×D₅	—	4	1	no	—
591	Q₈×D₅	—	4	1	no	—
592	Q₈×D₅	—	4	1	no	—
593	Q₈×D₅	—	4	1	no	—
594	#711	—	2	2	no	—
595	#711	—	4	1	no	—
596	#711	—	4	4	no	—
597	D₄×D₅	—	2	2	no	—
598	D₄×D₅	—	4	1	no	—
599	D₄×D₅	—	4	4	no	—
600	#709	—	4	1	no	—
601	#709	—	4	1	no	—
602	#709	—	4	4	no	—
603	C₂×D₂₀	—	2	1	no	—
604	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
605	C₂×C₄×D₅	—	2	1	no	—
606	C₂×C₄×D₅	—	2	1	no	—
607	C₂×C₄×D₅	—	2	1	no	—
608	C₂×C₄×D₅	—	2	1	no	—
609	C₂×C₄×D₅	—	2	1	no	—
610	C₂×C₄×D₅	—	2	1	no	—
611	C₂×C₄×D₅	—	2	1	no	—
612	C₂×C₄×D₅	—	4	1	no	—
613	C₂×C₄×D₅	—	4	1	no	—
614	C₂×C₄×D₅	—	4	4	no	—
615	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
616	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
617	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
618	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
619	C₂×Dic₁₀	—	2	1	no	—
620	C₂×Dic₁₀	—	2	1	no	—
621	C₂×Dic₁₀	—	2	1	no	—
622	C₂×Dic₁₀	—	2	1	no	—
623	C₂×Dic₁₀	—	4	1	no	—
624	C₂×Dic₁₀	—	4	1	no	—
625	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
626	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
627	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
628	C₅×Q₁₆	—	2	2	no	—
629	C₅×Q₁₆	—	2	2	no	—
630	C₅×Q₁₆	—	4	1	no	—
631	C₅×Q₁₆	—	4	1	no	—
632	C₅×Q₁₆	—	4	1	no	—
633	C₅×Q₁₆	—	4	1	no	—
634	C₅×SD₁₆	—	2	2	no	—
635	C₅×SD₁₆	—	2	2	no	—
636	C₅×M₁₆	—	4	1	no	—
637	C₂×C₅×C₈	—	4	1	no	—
638	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
639	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
640	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
641	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
642	C₅×C₄⋊C₄	—	2	1	no	—
643	C₅×C₄⋊C₄	—	2	1	no	—
644	C₅×C₄⋊C₄	—	2	1	no	—
645	C₅×C₄⋊C₄	—	2	1	no	—
646	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
647	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
648	C₅×C₂²⋊C₄	—	2	1	no	—
649	C₅×C₂²⋊C₄	—	2	1	no	—
650	C₅×C₂²⋊C₄	—	2	1	no	—
651	C₅×C₂²⋊C₄	—	2	1	no	—
652	C₅×C₂²⋊C₄	—	2	1	no	—
653	C₄²×C₅	—	2	1	no	—
654	C₂²⋊Dic₅	—	2	1	no	—
655	C₂²⋊Dic₅	—	2	1	no	—
656	C₂²⋊Dic₅	—	2	1	no	—
657	C₂²⋊Dic₅	—	2	1	no	—
658	C₂²⋊Dic₅	—	2	1	no	—
659	C₂²⋊Dic₅	—	2	1	no	—
660	C₂²⋊Dic₅	—	2	1	no	—
661	C₂²⋊Dic₅	—	2	1	no	—
662	C₂²⋊Dic₅	—	2	1	no	—
663	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
664	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
665	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
666	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
667	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
668	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
669	#689	—	2	2	no	—
670	#689	—	2	2	no	—
671	#689	—	4	1	no	—
672	#689	—	4	1	no	—
673	#689	—	4	1	no	—
674	#689	—	4	1	no	—
675	#689	—	4	1	no	—
676	#689	—	4	1	no	—
677	#688	—	4	1	no	—
678	#688	—	4	1	no	—
679	#687	—	2	2	no	—
680	#687	—	2	2	no	—
681	#685	—	2	1	no	—
682	#685	—	2	1	no	—
683	#685	—	2	1	no	—
684	#685	—	2	1	no	—
685	#685	—	2	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	C₂×D₄	1	1	yes	characteristic
696	#685	C₂×D₄	1	1	yes	characteristic
697	#685	C₂×D₄	1	1	yes	characteristic
698	#685	C₂×D₄	1	1	yes	characteristic
699	C₄⋊Dic₅	—	2	1	no	—
700	C₄⋊Dic₅	—	2	1	no	—
701	C₄⋊Dic₅	—	2	1	no	—
702	C₄⋊Dic₅	—	2	1	no	—
703	C₄⋊Dic₅	—	2	1	no	—
704	C₄⋊Dic₅	—	2	1	no	—
705	C₄⋊Dic₅	—	2	1	no	—
706	C₄⋊Dic₅	—	2	1	no	—
707	C₄⋊Dic₅	—	2	1	no	—
708	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
709	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
710	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
711	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
712	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
713	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
714	#683	—	2	1	no	—
715	#683	—	2	1	no	—
716	#683	—	2	1	no	—
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	—	2	1	no	—
727	#683	—	2	1	no	—
728	#683	—	2	1	no	—
729	#683	—	2	1	no	—
730	#683	—	2	1	no	—
731	#683	—	2	1	no	—
732	#683	—	2	1	no	—
733	#683	—	2	1	no	—
734	#683	—	2	1	no	—
735	#683	—	2	1	no	—
736	#683	—	2	1	no	—
737	#683	—	2	1	no	—
738	#683	—	2	1	no	—
739	#683	—	2	1	no	—
740	#683	C₂×D₄	1	1	yes	characteristic
741	#683	C₂×D₄	1	1	yes	characteristic
742	#683	C₂×D₄	1	1	yes	characteristic
743	#683	C₂×D₄	1	1	yes	characteristic
744	C₄×Dic₅	—	2	1	no	—
745	C₄×Dic₅	—	2	1	no	—
746	C₄×Dic₅	—	2	1	no	—
747	C₄×Dic₅	—	2	1	no	—
748	C₄×Dic₅	—	2	1	no	—
749	C₄×Dic₅	—	2	1	no	—
750	C₄×Dic₅	—	2	1	no	—
751	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
752	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
753	#681	—	4	1	no	—
754	C₂×#168	—	4	1	no	—
755	C₂×#168	C₂⁴	1	1	yes	characteristic
756	C₂×#168	C₂⁴	1	1	yes	characteristic
757	C₂×#168	C₂⁴	1	1	yes	characteristic
758	C₂×#168	C₂⁴	1	1	yes	characteristic
759	Dic₂₀	—	4	1	no	—
760	Dic₂₀	—	4	1	no	—
761	#677	—	4	1	no	—
762	#677	—	4	1	no	—
763	#676	—	4	1	no	—
764	#676	—	4	1	no	—
765	C₈×D₅	—	4	1	no	—
766	C₈×D₅	—	4	1	no	—
767	C₂×2₋¹⁺⁴	C₂×D₅	1	1	yes	characteristic
768	C₂²×#41	—	5	1	no	—
769	C₂×#137	—	5	1	no	—
770	C₂×#137	—	5	1	no	—
771	C₂×#137	—	5	1	no	—
772	C₂×#137	C₂×D₅	1	1	yes	characteristic, complemented
773	C₂²×Q₁₆	—	5	1	no	—
774	C₂²×Q₁₆	—	5	1	no	—
775	C₂²×Q₁₆	C₂×D₅	1	1	yes	characteristic, complemented
776	C₂²×SD₁₆	—	5	1	no	—
777	#563	—	10	1	no	—
778	#563	—	10	1	no	—
779	#552	—	5	1	no	—
780	#552	—	5	1	no	—
781	#552	—	5	1	no	—
782	#552	—	5	1	no	—
783	#551	—	10	1	no	—
784	#551	—	10	1	no	—
785	D₄×Q₈	—	5	1	no	—
786	D₄×Q₈	—	5	1	no	—
787	D₄×Q₈	—	5	1	no	—
788	D₄×Q₈	—	5	1	no	—
789	D₄×Q₈	—	5	1	no	—
790	D₄×Q₈	—	5	1	no	—
791	#548	—	5	1	no	—
792	#548	—	5	1	no	—
793	#547	—	5	1	no	—
794	#547	—	5	1	no	—
795	#547	—	10	1	no	—
796	#547	—	10	1	no	—
797	#546	—	5	1	no	—
798	#546	—	5	1	no	—
799	#546	—	10	1	no	—
800	#546	—	10	1	no	—
801	#544	—	10	1	no	—
802	#544	—	10	1	no	—
803	#541	—	5	1	no	—
804	#541	—	5	1	no	—
805	#539	—	10	1	no	—
806	#539	—	10	1	no	—
807	#537	—	5	1	no	—
808	#537	—	10	1	no	—
809	#536	—	5	1	no	—
810	#536	—	5	1	no	—
811	#536	—	10	1	no	—
812	#536	C₂×D₅	1	1	yes	characteristic, complemented
813	#525	—	5	1	no	—
814	#525	—	10	1	no	—
815	C₂×C₂²⋊Q₈	—	5	1	no	—
816	C₂×C₂²⋊Q₈	—	5	1	no	—
817	C₂×C₂²⋊Q₈	—	5	1	no	—
818	C₂×C₂²⋊Q₈	—	10	1	no	—
819	#520	—	5	1	no	—
820	#497	—	5	1	no	—
821	#497	—	5	1	no	—
822	#494	—	5	1	no	—
823	#494	—	5	1	no	—
824	#491	—	5	1	no	—
825	#491	—	5	1	no	—
826	#488	—	5	1	no	—
827	#488	—	5	1	no	—
828	#485	—	5	1	no	—
829	#485	—	5	1	no	—
830	#484	—	5	1	no	—
831	#484	—	5	1	no	—
832	#484	—	5	1	no	—
833	#484	—	5	1	no	—
834	#483	—	5	1	no	—
835	#483	—	5	1	no	—
836	#483	—	5	1	no	—
837	#483	—	5	1	no	—
838	#482	—	5	1	no	—
839	#482	—	5	1	no	—
840	#479	—	5	1	no	—
841	#479	—	5	1	no	—
842	#478	—	5	1	no	—
843	#478	—	5	1	no	—
844	#470	—	5	1	no	—
845	#470	—	5	1	no	—
846	#470	—	5	1	no	—
847	#470	—	5	1	no	—
848	#470	—	5	1	no	—
849	#470	—	5	1	no	—
850	#468	—	5	1	no	—
851	#468	—	5	1	no	—
852	#467	—	5	1	no	—
853	#467	—	5	1	no	—
854	#467	—	5	1	no	—
855	#467	—	5	1	no	—
856	#467	—	5	1	no	—
857	#467	—	5	1	no	—
858	#465	—	5	1	no	—
859	#465	—	5	1	no	—
860	#464	—	5	1	no	—
861	#464	—	5	1	no	—
862	#464	—	5	1	no	—
863	#464	—	5	1	no	—
864	#462	—	5	1	no	—
865	#462	—	5	1	no	—
866	#462	—	5	1	no	—
867	#462	—	5	1	no	—
868	#462	—	5	1	no	—
869	#462	—	5	1	no	—
870	#461	—	5	1	no	—
871	#461	—	5	1	no	—
872	#452	—	5	1	no	—
873	#452	—	5	1	no	—
874	#452	—	5	1	no	—
875	#452	—	5	1	no	—
876	#452	—	5	1	no	—
877	#452	—	5	1	no	—
878	#452	—	5	1	no	—
879	#452	—	5	1	no	—
880	#452	—	5	1	no	—
881	#452	—	5	1	no	—
882	#452	—	5	1	no	—
883	#452	—	5	1	no	—
884	#452	C₂×D₅	1	1	yes	characteristic
885	#452	C₂×D₅	1	1	yes	characteristic
886	#452	C₂×D₅	1	1	yes	characteristic, complemented
887	#452	C₂×D₅	1	1	yes	characteristic, complemented
888	#451	—	5	1	no	—
889	#451	—	5	1	no	—
890	#451	—	5	1	no	—
891	#451	—	5	1	no	—
892	#451	—	5	1	no	—
893	#451	—	5	1	no	—
894	#451	—	5	1	no	—
895	#451	—	5	1	no	—
896	#451	—	5	1	no	—
897	#451	—	5	1	no	—
898	#451	—	5	1	no	—
899	#451	—	5	1	no	—
900	#451	C₂×D₅	1	1	yes	characteristic, complemented
901	#451	C₂×D₅	1	1	yes	characteristic, complemented
902	#451	C₂×D₅	1	1	yes	characteristic, complemented
903	#451	C₂×D₅	1	1	yes	characteristic, complemented
904	#450	—	5	1	no	—
905	#450	—	5	1	no	—
906	#448	—	5	1	no	—
907	#448	—	5	1	no	—
908	#441	—	5	1	no	—
909	#441	—	5	1	no	—
910	#440	—	5	1	no	—
911	#440	—	5	1	no	—
912	C₄×Q₁₆	—	5	1	no	—
913	C₄×Q₁₆	—	5	1	no	—
914	C₄×SD₁₆	—	5	1	no	—
915	C₄×SD₁₆	—	5	1	no	—
916	#436	—	5	1	no	—
917	#436	—	5	1	no	—
918	#435	—	5	1	no	—
919	#435	—	5	1	no	—
920	#435	—	5	1	no	—
921	#435	—	5	1	no	—
922	C₈×D₄	—	5	1	no	—
923	C₈×D₄	—	5	1	no	—
924	#433	—	5	1	no	—
925	#433	—	5	1	no	—
926	#419	—	5	1	no	—
927	#419	C₂×D₅	1	1	yes	characteristic, complemented
928	#417	—	5	1	no	—
929	#417	—	5	1	no	—
930	#416	—	5	1	no	—
931	#416	C₂×D₅	1	1	yes	characteristic, complemented
932	C₂×#103	—	5	1	no	—
933	C₂×#102	—	5	1	no	—
934	#408	—	5	1	no	—
935	#408	C₂×D₅	1	1	yes	characteristic, complemented
936	#407	—	5	1	no	—
937	C₂×C₂²⋊C₈	—	5	1	no	—
938	C₂³×C₅	—	2	1	no	—
939	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
940	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
941	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
942	C₂²×D₅	—	2	2	no	—
943	C₂²×D₅	—	2	1	no	—
944	C₂²×D₅	—	4	1	no	—
945	C₂²×D₅	—	4	1	no	—
946	C₂²×D₅	—	4	2	no	—
947	C₂²×D₅	—	4	2	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	C₅×Q₈	—	2	1	no	—
952	C₅×Q₈	—	2	1	no	—
953	C₅×Q₈	—	2	1	no	—
954	C₅×Q₈	—	2	1	no	—
955	C₅×Q₈	—	2	1	no	—
956	C₅×Q₈	—	2	1	no	—
957	C₅×Q₈	—	2	1	no	—
958	C₅×Q₈	—	2	1	no	—
959	C₅×Q₈	—	2	1	no	—
960	C₅×Q₈	—	4	1	no	—
961	C₅×Q₈	—	4	2	no	—
962	C₅×Q₈	—	4	2	no	—
963	C₅×Q₈	—	4	2	no	—
964	C₅×Q₈	—	8	1	no	—
965	C₅×Q₈	H(5,𝔽₂)	1	2	yes	—
966	C₅×D₄	—	2	4	no	—
967	C₅×D₄	—	2	1	no	—
968	C₅×D₄	—	4	1	no	—
969	C₅×D₄	—	4	1	no	—
970	C₅×D₄	—	4	1	no	—
971	C₅×D₄	—	4	2	no	—
972	C₅×D₄	—	4	2	no	—
973	C₅×D₄	H(5,𝔽₂)	1	2	yes	—
974	C₂×C₄×C₅	—	2	4	no	—
975	C₂×C₄×C₅	—	2	1	no	—
976	C₂×C₄×C₅	—	2	1	no	—
977	C₂×C₄×C₅	—	2	1	no	—
978	C₂×C₄×C₅	—	2	1	no	—
979	C₂×C₄×C₅	—	2	1	no	—
980	C₂×C₄×C₅	—	2	1	no	—
981	C₂×C₄×C₅	—	2	1	no	—
982	C₂×C₄×C₅	—	2	1	no	—
983	C₂×C₄×C₅	—	2	1	no	—
984	C₂×C₄×C₅	—	2	1	no	—
985	C₂×C₄×C₅	—	2	1	no	—
986	C₂×C₄×C₅	—	2	1	no	—
987	C₂×C₄×C₅	—	2	1	no	—
988	C₂×C₄×C₅	—	4	2	no	—
989	C₂×C₄×C₅	—	4	2	no	—
990	C₂×C₄×C₅	—	4	2	no	—
991	C₂×C₄×C₅	—	4	2	no	—
992	C₂×C₄×C₅	—	4	2	no	—
993	C₂×C₄×C₅	—	8	1	no	—
994	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
995	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
996	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
997	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
998	C₂²⋊D₅	—	2	2	no	—
999	C₂²⋊D₅	—	2	2	no	—
1000	C₂²⋊D₅	—	4	1	no	—
1001	C₂²⋊D₅	—	4	1	no	—
1002	C₂²⋊D₅	—	4	2	no	—
1003	C₂²⋊D₅	—	4	2	no	—
1004	C₂²⋊D₅	—	4	2	no	—
1005	C₂²⋊D₅	—	8	1	no	—
1006	C₂²⋊D₅	—	8	1	no	—
1007	C₂×Dic₅	—	2	1	no	—
1008	C₂×Dic₅	—	2	1	no	—
1009	C₂×Dic₅	—	2	1	no	—
1010	C₂×Dic₅	—	2	1	no	—
1011	C₂×Dic₅	—	2	1	no	—
1012	C₂×Dic₅	—	2	1	no	—
1013	C₂×Dic₅	—	2	1	no	—
1014	C₂×Dic₅	—	4	1	no	—
1015	C₂×Dic₅	—	4	2	no	—
1016	C₂×Dic₅	—	8	1	no	—
1017	C₂×Dic₅	—	8	1	no	—
1018	C₂×Dic₅	—	8	1	no	—
1019	C₂×Dic₅	—	8	1	no	—
1020	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1021	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1022	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1023	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1024	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1025	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1026	D₂₀	—	2	1	no	—
1027	D₂₀	—	2	1	no	—
1028	D₂₀	—	4	2	no	—
1029	C₄×D₅	—	2	1	no	—
1030	C₄×D₅	—	2	1	no	—
1031	C₄×D₅	—	2	1	no	—
1032	C₄×D₅	—	2	1	no	—
1033	C₄×D₅	—	4	1	no	—
1034	C₄×D₅	—	4	1	no	—
1035	C₄×D₅	—	4	2	no	—
1036	C₄×D₅	—	4	2	no	—
1037	C₄×D₅	—	4	2	no	—
1038	C₄×D₅	—	4	2	no	—
1039	C₄×D₅	—	4	2	no	—
1040	C₄×D₅	—	8	1	no	—
1041	C₄×D₅	—	8	1	no	—
1042	Dic₁₀	—	2	1	no	—
1043	Dic₁₀	—	2	1	no	—
1044	Dic₁₀	—	2	1	no	—
1045	Dic₁₀	—	2	1	no	—
1046	Dic₁₀	—	2	1	no	—
1047	Dic₁₀	—	2	1	no	—
1048	Dic₁₀	—	4	2	no	—
1049	Dic₁₀	—	8	1	no	—
1050	Dic₁₀	—	8	1	no	—
1051	Dic₁₀	—	8	1	no	—
1052	C₅×C₈	—	2	1	no	—
1053	C₅×C₈	—	2	1	no	—
1054	C₅×C₈	—	2	1	no	—
1055	C₅×C₈	—	2	1	no	—
1056	#168	—	2	1	no	—
1057	#168	—	2	1	no	—
1058	#168	—	2	1	no	—
1059	#168	—	2	1	no	—
1060	2₋¹⁺⁴	—	4	2	no	—
1061	2₋¹⁺⁴	—	4	2	no	—
1062	C₂×#41	—	2	1	no	—
1063	C₂×#41	—	2	1	no	—
1064	C₂×#41	—	2	1	no	—
1065	C₂×#41	—	5	1	no	—
1066	C₂×#41	—	5	1	no	—
1067	C₂×#41	—	5	1	no	—
1068	C₂×#41	—	10	1	no	—
1069	C₂×#41	—	10	1	no	—
1070	C₂×#41	—	20	2	no	—
1071	C₂×#41	—	20	2	no	—
1072	C₂×#41	C₂²×D₅	1	1	yes	characteristic
1073	C₂×#41	C₂²×D₅	1	1	yes	characteristic
1074	C₂×#41	C₂²×D₅	1	1	yes	characteristic
1075	C₂×#41	C₂²×D₅	1	1	yes	characteristic
1076	C₂²×Q₈	—	2	1	no	—
1077	C₂²×Q₈	—	5	1	no	—
1078	C₂²×Q₈	—	5	1	no	—
1079	C₂²×Q₈	—	5	1	no	—
1080	C₂²×Q₈	—	5	1	no	—
1081	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic
1082	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic
1083	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic
1084	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic
1085	C₂²×D₄	—	5	1	no	—
1086	C₂²×D₄	—	10	1	no	—
1087	C₂³×C₄	—	5	1	no	—
1088	C₂³×C₄	—	10	1	no	—
1089	#137	—	4	2	no	—
1090	#137	—	20	2	no	—
1091	#137	—	20	2	no	—
1092	#137	—	20	2	no	—
1093	C₂×Q₁₆	—	4	2	no	—
1094	C₂×Q₁₆	—	5	1	no	—
1095	C₂×Q₁₆	—	5	1	no	—
1096	C₂×Q₁₆	—	5	1	no	—
1097	C₂×Q₁₆	—	5	1	no	—
1098	C₂×Q₁₆	—	5	1	no	—
1099	C₂×Q₁₆	—	5	1	no	—
1100	C₂×Q₁₆	—	5	1	no	—
1101	C₂×Q₁₆	—	5	1	no	—
1102	C₂×Q₁₆	—	5	1	no	—
1103	C₂×Q₁₆	—	5	1	no	—
1104	C₂×Q₁₆	—	20	2	no	—
1105	C₂×Q₁₆	—	20	2	no	—
1106	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1107	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1108	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1109	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1110	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1111	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1112	C₂×SD₁₆	—	5	1	no	—
1113	C₂×SD₁₆	—	5	1	no	—
1114	C₂×SD₁₆	—	5	1	no	—
1115	C₂×SD₁₆	—	5	1	no	—
1116	C₂×SD₁₆	—	5	1	no	—
1117	C₂×SD₁₆	—	5	1	no	—
1118	C₂×SD₁₆	—	20	2	no	—
1119	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1120	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1121	C₂×M₁₆	—	5	1	no	—
1122	C₂×M₁₆	—	5	1	no	—
1123	C₂×M₁₆	—	5	1	no	—
1124	C₂×M₁₆	C₂²×D₅	1	1	yes	characteristic
1125	C₂²×C₈	—	5	1	no	—
1126	C₂²×C₈	—	5	1	no	—
1127	C₂²×C₈	—	5	1	no	—
1128	C₂²×C₈	C₂²×D₅	1	1	yes	characteristic
1129	C₄⋊Q₈	—	2	1	no	—
1130	C₄⋊Q₈	—	5	1	no	—
1131	C₄⋊Q₈	—	5	1	no	—
1132	C₄⋊Q₈	—	5	1	no	—
1133	C₄⋊Q₈	—	5	1	no	—
1134	C₄⋊Q₈	—	10	1	no	—
1135	C₄⋊Q₈	—	10	1	no	—
1136	C₄⋊Q₈	—	10	1	no	—
1137	C₄⋊Q₈	—	10	1	no	—
1138	C₄⋊Q₈	—	10	1	no	—
1139	C₄⋊Q₈	—	10	1	no	—
1140	C₄⋊Q₈	—	10	1	no	—
1141	#126	—	10	1	no	—
1142	#126	—	10	1	no	—
1143	#126	—	10	1	no	—
1144	#126	—	10	1	no	—
1145	#126	—	10	1	no	—
1146	#126	—	10	1	no	—
1147	#126	—	10	1	no	—
1148	#126	—	10	1	no	—
1149	#125	—	5	1	no	—
1150	#125	—	5	1	no	—
1151	#125	—	10	1	no	—
1152	#125	—	10	1	no	—
1153	#125	—	10	1	no	—
1154	#125	—	10	1	no	—
1155	#125	—	10	1	no	—
1156	#125	—	10	1	no	—
1157	#125	—	10	1	no	—
1158	#125	—	10	1	no	—
1159	#124	—	2	1	no	—
1160	#124	—	5	1	no	—
1161	#124	—	5	1	no	—
1162	#124	—	10	1	no	—
1163	#124	—	10	1	no	—
1164	#124	—	10	1	no	—
1165	#123	—	2	1	no	—
1166	#123	—	2	1	no	—
1167	#123	—	5	1	no	—
1168	#123	—	5	1	no	—
1169	#123	—	10	1	no	—
1170	#123	—	10	1	no	—
1171	#123	—	10	1	no	—
1172	#123	—	10	1	no	—
1173	#123	—	10	1	no	—
1174	#123	—	10	1	no	—
1175	#123	—	10	1	no	—
1176	#123	—	10	1	no	—
1177	#123	—	10	1	no	—
1178	#123	—	10	1	no	—
1179	#123	—	10	1	no	—
1180	#123	—	10	1	no	—
1181	#123	—	10	1	no	—
1182	#123	—	10	1	no	—
1183	C₂²⋊Q₈	—	5	1	no	—
1184	C₂²⋊Q₈	—	5	1	no	—
1185	C₂²⋊Q₈	—	5	1	no	—
1186	C₂²⋊Q₈	—	5	1	no	—
1187	C₂²⋊Q₈	—	5	1	no	—
1188	C₂²⋊Q₈	—	5	1	no	—
1189	C₂²⋊Q₈	—	5	1	no	—
1190	C₂²⋊Q₈	—	5	1	no	—
1191	C₂²⋊Q₈	—	5	1	no	—
1192	C₂²⋊Q₈	—	5	1	no	—
1193	C₂²⋊Q₈	—	5	1	no	—
1194	C₂²⋊Q₈	—	5	1	no	—
1195	C₂²⋊Q₈	—	5	1	no	—
1196	C₂²⋊Q₈	—	5	1	no	—
1197	C₂²⋊Q₈	—	5	1	no	—
1198	C₂²⋊Q₈	—	5	1	no	—
1199	C₂²⋊Q₈	—	10	1	no	—
1200	C₂²⋊Q₈	—	10	1	no	—
1201	C₂²⋊Q₈	—	10	1	no	—
1202	C₂²⋊Q₈	—	10	1	no	—
1203	C₂²⋊Q₈	—	10	1	no	—
1204	C₂²⋊Q₈	—	10	1	no	—
1205	C₂²⋊Q₈	—	10	1	no	—
1206	C₂²⋊Q₈	—	10	1	no	—
1207	C₂²⋊Q₈	—	10	1	no	—
1208	C₂²⋊Q₈	—	10	1	no	—
1209	C₂²⋊Q₈	—	10	1	no	—
1210	C₂²⋊Q₈	—	10	1	no	—
1211	C₂²⋊Q₈	—	10	1	no	—
1212	C₂²⋊Q₈	—	10	1	no	—
1213	C₂²⋊Q₈	—	10	1	no	—
1214	C₂²⋊Q₈	—	10	1	no	—
1215	C₂²⋊Q₈	—	10	1	no	—
1216	C₂²⋊Q₈	—	10	1	no	—
1217	C₂²⋊Q₈	—	10	1	no	—
1218	C₂²⋊Q₈	—	10	1	no	—
1219	C₂²⋊Q₈	—	10	1	no	—
1220	C₂²⋊Q₈	—	10	1	no	—
1221	C₂²⋊Q₈	—	10	1	no	—
1222	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1223	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1224	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1225	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1226	#121	—	5	1	no	—
1227	#121	—	5	1	no	—
1228	#121	—	5	1	no	—
1229	#121	—	5	1	no	—
1230	#121	—	10	1	no	—
1231	#121	—	10	1	no	—
1232	#121	—	10	1	no	—
1233	#121	—	10	1	no	—
1234	#121	—	10	1	no	—
1235	#121	—	10	1	no	—
1236	#121	—	10	1	no	—
1237	#121	—	10	1	no	—
1238	#121	—	10	1	no	—
1239	#120	—	5	1	no	—
1240	#120	—	5	1	no	—
1241	#120	—	10	1	no	—
1242	#120	—	10	1	no	—
1243	C₄×Q₈	—	5	1	no	—
1244	C₄×Q₈	—	5	1	no	—
1245	C₄×Q₈	—	5	1	no	—
1246	C₄×Q₈	—	5	1	no	—
1247	C₄×Q₈	—	5	1	no	—
1248	C₄×Q₈	—	5	1	no	—
1249	C₄×D₄	—	5	1	no	—
1250	C₄×D₄	—	5	1	no	—
1251	C₄×D₄	—	5	1	no	—
1252	C₄×D₄	—	5	1	no	—
1253	C₄×D₄	—	5	1	no	—
1254	C₄×D₄	—	5	1	no	—
1255	C₄×D₄	—	10	1	no	—
1256	C₄×D₄	—	10	1	no	—
1257	C₄×D₄	—	10	1	no	—
1258	C₄×D₄	—	10	1	no	—
1259	C₄×D₄	—	10	1	no	—
1260	C₄×D₄	—	10	1	no	—
1261	C₄×D₄	—	10	1	no	—
1262	C₄×D₄	—	10	1	no	—
1263	C₄×D₄	—	10	1	no	—
1264	C₄×D₄	—	10	1	no	—
1265	#117	—	5	1	no	—
1266	#117	—	5	1	no	—
1267	#117	—	10	1	no	—
1268	#117	—	10	1	no	—
1269	#117	—	10	1	no	—
1270	#117	—	10	1	no	—
1271	#117	—	10	1	no	—
1272	#117	C₂²×D₅	1	1	yes	characteristic
1273	C₂×C₄⋊C₄	—	5	1	no	—
1274	C₂×C₄⋊C₄	—	5	1	no	—
1275	C₂×C₄⋊C₄	—	5	1	no	—
1276	C₂×C₄⋊C₄	—	10	1	no	—
1277	C₂×C₄⋊C₄	—	10	1	no	—
1278	C₂×C₄⋊C₄	—	10	1	no	—
1279	C₂×C₄⋊C₄	—	10	1	no	—
1280	C₂×C₄⋊C₄	—	10	1	no	—
1281	C₂×C₄⋊C₄	—	10	1	no	—
1282	C₂×C₂²⋊C₄	—	10	1	no	—
1283	C₂×C₂²⋊C₄	—	10	1	no	—
1284	C₂×C₂²⋊C₄	—	10	1	no	—
1285	C₂×C₂²⋊C₄	—	10	1	no	—
1286	C₂×C₂²⋊C₄	—	10	1	no	—
1287	#107	—	5	1	no	—
1288	#107	—	5	1	no	—
1289	#107	—	5	1	no	—
1290	#107	—	5	1	no	—
1291	#106	—	5	1	no	—
1292	#106	—	5	1	no	—
1293	#106	—	5	1	no	—
1294	#106	—	5	1	no	—
1295	C₄⋊C₈	—	5	1	no	—
1296	C₄⋊C₈	—	5	1	no	—
1297	C₄⋊C₈	—	5	1	no	—
1298	C₄⋊C₈	—	5	1	no	—
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	—	5	1	no	—
1312	#103	—	5	1	no	—
1313	#103	—	5	1	no	—
1314	#103	—	5	1	no	—
1315	#103	—	5	1	no	—
1316	#103	—	5	1	no	—
1317	#103	C₂²×D₅	1	1	yes	characteristic
1318	#103	C₂²×D₅	1	1	yes	characteristic
1319	#103	C₂²×D₅	1	1	yes	characteristic
1320	#103	C₂²×D₅	1	1	yes	characteristic
1321	#103	C₂²×D₅	1	1	yes	characteristic
1322	#103	C₂²×D₅	1	1	yes	characteristic
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	C₂²×D₅	1	1	yes	characteristic
1330	#102	C₂²×D₅	1	1	yes	characteristic
1331	C₂²⋊C₈	—	5	1	no	—
1332	C₂²⋊C₈	—	5	1	no	—
1333	C₂²⋊C₈	—	5	1	no	—
1334	C₂²⋊C₈	—	5	1	no	—
1335	C₂²⋊C₈	—	5	1	no	—
1336	C₂²⋊C₈	—	5	1	no	—
1337	C₂²⋊C₈	—	5	1	no	—
1338	C₂²⋊C₈	—	5	1	no	—
1339	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1340	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1341	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1342	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1343	#97	—	5	1	no	—
1344	#97	—	5	1	no	—
1345	C₄×C₈	—	5	1	no	—
1346	C₄×C₈	—	5	1	no	—
1347	C₂²×C₅	—	2	1	no	—
1348	C₂²×C₅	—	2	1	no	—
1349	C₂²×C₅	—	2	1	no	—
1350	C₂²×C₅	—	2	1	no	—
1351	C₂²×C₅	—	2	2	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	C₂³×D₄	1	1	yes	characteristic
1360	C₂×D₅	—	2	1	no	—
1361	C₂×D₅	—	2	1	no	—
1362	C₂×D₅	—	2	1	no	—
1363	C₂×D₅	—	2	1	no	—
1364	C₂×D₅	—	2	1	no	—
1365	C₂×D₅	—	4	1	no	—
1366	C₂×D₅	—	4	1	no	—
1367	C₂×D₅	—	4	1	no	—
1368	C₂×D₅	—	8	2	no	—
1369	C₂×D₅	—	8	4	no	—
1370	C₂×D₅	#578	1	2	yes	—
1371	C₄×C₅	—	2	2	no	—
1372	C₄×C₅	—	2	1	no	—
1373	C₄×C₅	—	2	1	no	—
1374	C₄×C₅	—	2	1	no	—
1375	C₄×C₅	—	4	1	no	—
1376	C₄×C₅	—	4	1	no	—
1377	C₄×C₅	—	4	1	no	—
1378	C₄×C₅	—	4	1	no	—
1379	C₄×C₅	—	4	1	no	—
1380	C₄×C₅	—	4	1	no	—
1381	C₄×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1382	C₄×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1383	Dic₅	—	2	1	no	—
1384	Dic₅	—	2	1	no	—
1385	Dic₅	—	2	1	no	—
1386	Dic₅	—	2	1	no	—
1387	Dic₅	—	2	1	no	—
1388	Dic₅	—	2	1	no	—
1389	Dic₅	—	4	1	no	—
1390	Dic₅	—	4	1	no	—
1391	Dic₅	—	4	1	no	—
1392	Dic₅	—	4	1	no	—
1393	Dic₅	—	4	1	no	—
1394	Dic₅	—	4	1	no	—
1395	Dic₅	—	4	1	no	—
1396	C₂⁴	—	5	1	no	—
1397	C₂⁴	—	10	1	no	—
1398	#41	—	2	2	no	—
1399	#41	—	2	2	no	—
1400	#41	—	2	2	no	—
1401	#41	—	2	2	no	—
1402	#41	—	4	1	no	—
1403	#41	—	4	1	no	—
1404	#41	—	4	1	no	—
1405	#41	—	4	1	no	—
1406	#41	—	4	4	no	—
1407	#41	—	4	4	no	—
1408	#41	—	4	4	no	—
1409	#41	—	10	2	no	—
1410	#41	—	10	2	no	—
1411	#41	—	20	1	no	—
1412	#41	—	20	1	no	—
1413	#41	—	20	4	no	—
1414	#41	—	20	1	no	—
1415	#41	—	20	1	no	—
1416	#41	—	20	4	no	—
1417	C₂×Q₈	—	2	1	no	—
1418	C₂×Q₈	—	2	1	no	—
1419	C₂×Q₈	—	2	1	no	—
1420	C₂×Q₈	—	2	1	no	—
1421	C₂×Q₈	—	2	2	no	—
1422	C₂×Q₈	—	2	2	no	—
1423	C₂×Q₈	—	4	1	no	—
1424	C₂×Q₈	—	4	1	no	—
1425	C₂×Q₈	—	4	1	no	—
1426	C₂×Q₈	—	4	1	no	—
1427	C₂×Q₈	—	4	4	no	—
1428	C₂×Q₈	—	4	1	no	—
1429	C₂×Q₈	—	4	1	no	—
1430	C₂×Q₈	—	5	1	no	—
1431	C₂×Q₈	—	5	1	no	—
1432	C₂×Q₈	—	5	1	no	—
1433	C₂×Q₈	—	10	1	no	—
1434	C₂×Q₈	—	10	1	no	—
1435	C₂×Q₈	—	10	1	no	—
1436	C₂×Q₈	—	10	1	no	—
1437	C₂×Q₈	—	10	2	no	—
1438	C₂×Q₈	—	20	1	no	—
1439	C₂×Q₈	—	20	1	no	—
1440	C₂×Q₈	—	20	1	no	—
1441	C₂×Q₈	—	20	1	no	—
1442	C₂×Q₈	—	20	1	no	—
1443	C₂×Q₈	—	20	1	no	—
1444	C₂×Q₈	—	20	1	no	—
1445	C₂×Q₈	D₄×D₅	1	1	yes	characteristic
1446	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1447	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1448	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1449	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1450	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1451	C₂×D₄	—	2	1	no	—
1452	C₂×D₄	—	2	1	no	—
1453	C₂×D₄	—	2	1	no	—
1454	C₂×D₄	—	5	1	no	—
1455	C₂×D₄	—	5	1	no	—
1456	C₂×D₄	—	5	1	no	—
1457	C₂×D₄	—	5	1	no	—
1458	C₂×D₄	—	5	1	no	—
1459	C₂×D₄	—	10	1	no	—
1460	C₂×D₄	—	10	1	no	—
1461	C₂×D₄	—	10	2	no	—
1462	C₂×D₄	—	10	1	no	—
1463	C₂×D₄	—	10	1	no	—
1464	C₂×D₄	—	10	1	no	—
1465	C₂×D₄	—	10	1	no	—
1466	C₂×D₄	—	20	1	no	—
1467	C₂×D₄	—	20	4	no	—
1468	C₂×D₄	D₄×D₅	1	1	yes	characteristic
1469	C₂×D₄	D₄×D₅	1	1	yes	characteristic
1470	C₂×D₄	D₄×D₅	1	1	yes	characteristic
1471	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1472	C₂²×C₄	—	2	1	no	—
1473	C₂²×C₄	—	2	1	no	—
1474	C₂²×C₄	—	2	1	no	—
1475	C₂²×C₄	—	2	1	no	—
1476	C₂²×C₄	—	2	1	no	—
1477	C₂²×C₄	—	2	1	no	—
1478	C₂²×C₄	—	2	1	no	—
1479	C₂²×C₄	—	5	1	no	—
1480	C₂²×C₄	—	5	1	no	—
1481	C₂²×C₄	—	5	1	no	—
1482	C₂²×C₄	—	5	1	no	—
1483	C₂²×C₄	—	5	1	no	—
1484	C₂²×C₄	—	10	1	no	—
1485	C₂²×C₄	—	10	1	no	—
1486	C₂²×C₄	—	10	1	no	—
1487	C₂²×C₄	—	10	1	no	—
1488	C₂²×C₄	—	10	1	no	—
1489	C₂²×C₄	—	10	1	no	—
1490	C₂²×C₄	—	10	1	no	—
1491	C₂²×C₄	—	10	1	no	—
1492	C₂²×C₄	—	10	1	no	—
1493	C₂²×C₄	—	10	1	no	—
1494	C₂²×C₄	—	10	1	no	—
1495	C₂²×C₄	—	10	1	no	—
1496	C₂²×C₄	—	20	1	no	—
1497	C₂²×C₄	—	20	1	no	—
1498	C₂²×C₄	—	20	4	no	—
1499	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1500	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1501	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1502	Q₁₆	—	2	2	no	—
1503	Q₁₆	—	2	2	no	—
1504	Q₁₆	—	4	1	no	—
1505	Q₁₆	—	4	1	no	—
1506	Q₁₆	—	4	1	no	—
1507	Q₁₆	—	4	1	no	—
1508	Q₁₆	—	10	2	no	—
1509	Q₁₆	—	10	2	no	—
1510	Q₁₆	—	20	1	no	—
1511	Q₁₆	—	20	1	no	—
1512	Q₁₆	—	20	1	no	—
1513	Q₁₆	—	20	1	no	—
1514	Q₁₆	—	20	1	no	—
1515	Q₁₆	—	20	1	no	—
1516	Q₁₆	—	20	1	no	—
1517	Q₁₆	—	20	1	no	—
1518	SD₁₆	—	2	2	no	—
1519	SD₁₆	—	2	2	no	—
1520	SD₁₆	—	10	2	no	—
1521	SD₁₆	—	10	2	no	—
1522	SD₁₆	—	20	1	no	—
1523	SD₁₆	—	20	1	no	—
1524	SD₁₆	—	20	1	no	—
1525	SD₁₆	—	20	1	no	—
1526	M₁₆	—	4	1	no	—
1527	M₁₆	—	20	1	no	—
1528	M₁₆	—	20	1	no	—
1529	M₁₆	—	20	1	no	—
1530	C₂×C₈	—	4	1	no	—
1531	C₂×C₈	—	5	1	no	—
1532	C₂×C₈	—	5	1	no	—
1533	C₂×C₈	—	5	1	no	—
1534	C₂×C₈	—	5	1	no	—
1535	C₂×C₈	—	20	1	no	—
1536	C₂×C₈	—	20	1	no	—
1537	C₂×C₈	—	20	1	no	—
1538	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1539	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1540	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1541	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1542	C₄⋊C₄	—	2	1	no	—
1543	C₄⋊C₄	—	2	1	no	—
1544	C₄⋊C₄	—	2	1	no	—
1545	C₄⋊C₄	—	2	1	no	—
1546	C₄⋊C₄	—	5	1	no	—
1547	C₄⋊C₄	—	5	1	no	—
1548	C₄⋊C₄	—	5	1	no	—
1549	C₄⋊C₄	—	5	1	no	—
1550	C₄⋊C₄	—	5	1	no	—
1551	C₄⋊C₄	—	5	1	no	—
1552	C₄⋊C₄	—	5	1	no	—
1553	C₄⋊C₄	—	5	1	no	—
1554	C₄⋊C₄	—	5	1	no	—
1555	C₄⋊C₄	—	5	1	no	—
1556	C₄⋊C₄	—	10	1	no	—
1557	C₄⋊C₄	—	10	1	no	—
1558	C₄⋊C₄	—	10	1	no	—
1559	C₄⋊C₄	—	10	1	no	—
1560	C₄⋊C₄	—	10	1	no	—
1561	C₄⋊C₄	—	10	1	no	—
1562	C₄⋊C₄	—	10	1	no	—
1563	C₄⋊C₄	—	10	1	no	—
1564	C₄⋊C₄	—	10	1	no	—
1565	C₄⋊C₄	—	10	1	no	—
1566	C₄⋊C₄	—	10	1	no	—
1567	C₄⋊C₄	—	10	1	no	—
1568	C₄⋊C₄	—	10	1	no	—
1569	C₄⋊C₄	—	10	1	no	—
1570	C₄⋊C₄	—	10	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	—	10	1	no	—
1584	C₄⋊C₄	—	10	1	no	—
1585	C₄⋊C₄	—	10	1	no	—
1586	C₄⋊C₄	—	10	1	no	—
1587	C₄⋊C₄	—	10	1	no	—
1588	C₄⋊C₄	—	10	1	no	—
1589	C₄⋊C₄	—	10	1	no	—
1590	C₄⋊C₄	—	10	1	no	—
1591	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1592	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
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	—	2	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	—	5	1	no	—
1604	C₂²⋊C₄	—	5	1	no	—
1605	C₂²⋊C₄	—	5	1	no	—
1606	C₂²⋊C₄	—	5	1	no	—
1607	C₂²⋊C₄	—	5	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	—	10	1	no	—
1630	C₂²⋊C₄	—	10	1	no	—
1631	C₄²	—	2	1	no	—
1632	C₄²	—	5	1	no	—
1633	C₄²	—	5	1	no	—
1634	C₄²	—	10	1	no	—
1635	C₄²	—	10	1	no	—
1636	C₄²	—	10	1	no	—
1637	C₄²	—	10	1	no	—
1638	C₄²	—	10	1	no	—
1639	C₄²	—	10	1	no	—
1640	C₄²	—	10	1	no	—
1641	C₂×C₅	—	4	1	no	—
1642	C₂×C₅	—	4	2	no	—
1643	C₂×C₅	—	4	1	no	—
1644	C₂×C₅	—	4	1	no	—
1645	C₂×C₅	#3484	1	1	yes	characteristic
1646	C₂×C₅	C₂×#578	1	1	yes	characteristic
1647	C₂×C₅	#3586	1	1	yes	characteristic
1648	D₅	—	2	2	no	—
1649	D₅	—	4	1	no	—
1650	D₅	—	8	1	no	—
1651	C₂³	—	2	1	no	—
1652	C₂³	—	5	1	no	—
1653	C₂³	—	5	1	no	—
1654	C₂³	—	10	2	no	—
1655	C₂³	—	10	1	no	—
1656	C₂³	—	20	1	no	—
1657	C₂³	—	20	1	no	—
1658	C₂³	—	20	2	no	—
1659	C₂³	—	20	2	no	—
1660	C₂³	—	40	1	no	—
1661	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1662	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1663	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1664	Q₈	—	2	1	no	—
1665	Q₈	—	2	1	no	—
1666	Q₈	—	2	1	no	—
1667	Q₈	—	2	1	no	—
1668	Q₈	—	2	1	no	—
1669	Q₈	—	2	1	no	—
1670	Q₈	—	2	1	no	—
1671	Q₈	—	2	1	no	—
1672	Q₈	—	2	1	no	—
1673	Q₈	—	4	1	no	—
1674	Q₈	—	4	2	no	—
1675	Q₈	—	4	2	no	—
1676	Q₈	—	4	2	no	—
1677	Q₈	—	8	1	no	—
1678	Q₈	—	10	1	no	—
1679	Q₈	—	10	1	no	—
1680	Q₈	—	10	1	no	—
1681	Q₈	—	10	1	no	—
1682	Q₈	—	10	1	no	—
1683	Q₈	—	10	1	no	—
1684	Q₈	—	20	2	no	—
1685	Q₈	—	40	1	no	—
1686	Q₈	—	40	1	no	—
1687	Q₈	—	40	1	no	—
1688	Q₈	#4144	1	2	yes	—
1689	D₄	—	2	4	no	—
1690	D₄	—	2	1	no	—
1691	D₄	—	4	1	no	—
1692	D₄	—	4	1	no	—
1693	D₄	—	4	1	no	—
1694	D₄	—	4	2	no	—
1695	D₄	—	4	2	no	—
1696	D₄	—	10	2	no	—
1697	D₄	—	10	2	no	—
1698	D₄	—	10	1	no	—
1699	D₄	—	10	1	no	—
1700	D₄	—	20	2	no	—
1701	D₄	—	20	1	no	—
1702	D₄	—	20	1	no	—
1703	D₄	—	20	2	no	—
1704	D₄	—	20	2	no	—
1705	D₄	—	20	2	no	—
1706	D₄	—	40	1	no	—
1707	D₄	—	40	1	no	—
1708	D₄	#4144	1	2	yes	—
1709	C₂×C₄	—	2	4	no	—
1710	C₂×C₄	—	2	1	no	—
1711	C₂×C₄	—	2	1	no	—
1712	C₂×C₄	—	2	1	no	—
1713	C₂×C₄	—	2	1	no	—
1714	C₂×C₄	—	2	1	no	—
1715	C₂×C₄	—	2	1	no	—
1716	C₂×C₄	—	2	1	no	—
1717	C₂×C₄	—	2	1	no	—
1718	C₂×C₄	—	2	1	no	—
1719	C₂×C₄	—	2	1	no	—
1720	C₂×C₄	—	2	1	no	—
1721	C₂×C₄	—	2	1	no	—
1722	C₂×C₄	—	2	1	no	—
1723	C₂×C₄	—	4	2	no	—
1724	C₂×C₄	—	4	2	no	—
1725	C₂×C₄	—	4	2	no	—
1726	C₂×C₄	—	4	2	no	—
1727	C₂×C₄	—	4	2	no	—
1728	C₂×C₄	—	5	1	no	—
1729	C₂×C₄	—	5	1	no	—
1730	C₂×C₄	—	5	1	no	—
1731	C₂×C₄	—	5	1	no	—
1732	C₂×C₄	—	5	1	no	—
1733	C₂×C₄	—	5	1	no	—
1734	C₂×C₄	—	8	1	no	—
1735	C₂×C₄	—	10	1	no	—
1736	C₂×C₄	—	10	1	no	—
1737	C₂×C₄	—	10	1	no	—
1738	C₂×C₄	—	10	1	no	—
1739	C₂×C₄	—	10	1	no	—
1740	C₂×C₄	—	10	1	no	—
1741	C₂×C₄	—	10	1	no	—
1742	C₂×C₄	—	10	1	no	—
1743	C₂×C₄	—	10	1	no	—
1744	C₂×C₄	—	10	1	no	—
1745	C₂×C₄	—	10	1	no	—
1746	C₂×C₄	—	20	1	no	—
1747	C₂×C₄	—	20	1	no	—
1748	C₂×C₄	—	20	2	no	—
1749	C₂×C₄	—	20	2	no	—
1750	C₂×C₄	—	20	2	no	—
1751	C₂×C₄	—	20	2	no	—
1752	C₂×C₄	—	20	2	no	—
1753	C₂×C₄	—	20	1	no	—
1754	C₂×C₄	—	20	2	no	—
1755	C₂×C₄	—	40	1	no	—
1756	C₂×C₄	—	40	1	no	—
1757	C₂×C₄	—	40	1	no	—
1758	C₂×C₄	—	40	1	no	—
1759	C₂×C₄	—	40	1	no	—
1760	C₂×C₄	—	40	1	no	—
1761	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1762	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1763	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1764	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1765	C₈	—	2	1	no	—
1766	C₈	—	2	1	no	—
1767	C₈	—	2	1	no	—
1768	C₈	—	2	1	no	—
1769	C₈	—	10	1	no	—
1770	C₈	—	10	1	no	—
1771	C₈	—	10	1	no	—
1772	C₈	—	10	1	no	—
1773	C₅	#61622	1	1	yes	characteristic, complemented, Sylow
1774	C₂²	—	2	1	no	—
1775	C₂²	—	2	1	no	—
1776	C₂²	—	2	2	no	—
1777	C₂²	—	2	1	no	—
1778	C₂²	—	2	1	no	—
1779	C₂²	—	2	1	no	—
1780	C₂²	—	2	1	no	—
1781	C₂²	—	2	1	no	—
1782	C₂²	—	2	1	no	—
1783	C₂²	—	2	1	no	—
1784	C₂²	—	4	1	no	—
1785	C₂²	—	4	1	no	—
1786	C₂²	—	5	2	no	—
1787	C₂²	—	10	1	no	—
1788	C₂²	—	10	1	no	—
1789	C₂²	—	10	1	no	—
1790	C₂²	—	10	1	no	—
1791	C₂²	—	10	1	no	—
1792	C₂²	—	20	1	no	—
1793	C₂²	—	20	1	no	—
1794	C₂²	—	20	1	no	—
1795	C₂²	—	40	2	no	—
1796	C₂²	—	40	4	no	—
1797	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1798	C₄	—	2	1	no	—
1799	C₄	—	2	2	no	—
1800	C₄	—	2	1	no	—
1801	C₄	—	2	1	no	—
1802	C₄	—	4	1	no	—
1803	C₄	—	4	1	no	—
1804	C₄	—	4	1	no	—
1805	C₄	—	4	1	no	—
1806	C₄	—	4	1	no	—
1807	C₄	—	4	1	no	—
1808	C₄	—	10	1	no	—
1809	C₄	—	10	1	no	—
1810	C₄	—	10	1	no	—
1811	C₄	—	10	1	no	—
1812	C₄	—	10	1	no	—
1813	C₄	—	10	1	no	—
1814	C₄	—	20	1	no	—
1815	C₄	—	20	1	no	—
1816	C₄	—	20	1	no	—
1817	C₄	—	20	1	no	—
1818	C₄	—	20	1	no	—
1819	C₄	—	20	1	no	—
1820	C₄	—	20	1	no	—
1821	C₄	C₂×#4144	1	1	yes	characteristic
1822	C₄	C₂×#4144	1	1	yes	characteristic
1823	C₂	—	4	1	no	—
1824	C₂	—	4	1	no	—
1825	C₂	—	4	1	no	—
1826	C₂	—	4	2	no	—
1827	C₂	—	10	2	no	—
1828	C₂	—	20	1	no	—
1829	C₂	—	40	1	no	—
1830	C₂	#10617820	1	1	yes	characteristic
1831	C₂	D₅×#578	1	1	yes	characteristic
1832	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×#3011	C₂
socle	C₂²×C₅	C₂³×D₄
prime radical	#10619196	C₂
hypercenter	#3011	D₅
hypocenter	C₅	#61622
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ C₂×#41 ◁ #3011

Complements

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

N	H ≅ G/N	type
2. #10618260	C₂	semidirect
3. C₅×#3011	C₂	semidirect
4. #10615848	C₂	semidirect
5. #10615727	C₂	semidirect
6. #10615718	C₂	semidirect
7. Q₁₆×C₂²⋊D₅	C₂	semidirect
8. #10615619	C₂	semidirect
9. #10615139	C₂	semidirect
10. #10612005	C₂	semidirect
11. #10611984	C₂	semidirect
12. #10611977	C₂	semidirect
13. #10611972	C₂	semidirect
14. #10611959	C₂	semidirect
15. D₅×#452	C₂	semidirect
16. #10611948	C₂	semidirect
17. #10611947	C₂	semidirect
18. #10611942	C₂	semidirect
19. #10611939	C₂	semidirect
20. #10611930	C₂	semidirect
21. #10611927	C₂	semidirect
22. #10611920	C₂	semidirect
23. #10611918	C₂	semidirect
24. #10611911	C₂	semidirect
25. #10611911	C₂	semidirect
26. #10610702	C₂	semidirect
27. #10610697	C₂	semidirect
28. #10610588	C₂	semidirect
29. #10610576	C₂	semidirect
30. #10610412	C₂	semidirect
31. #10610395	C₂	semidirect
34. C₂×C₅×#137	C₂²	semidirect
35. C₂²×C₅×Q₁₆	C₂²	semidirect
36. C₅×#536	C₂²	semidirect
46. #66159	C₂²	semidirect
51. C₂×#4097	C₂²	semidirect
59. Q₈×C₂²⋊D₅	C₂²	semidirect
62. C₂²×#689	C₂²	semidirect
76. #65973	C₂²	semidirect
78. #65966	C₂²	semidirect
81. #65959	C₂²	semidirect
82. #65959	C₂²	semidirect
84. #65863	C₂²	semidirect
87. C₅×#452	C₂²	semidirect
88. C₅×#452	C₂²	semidirect
89. C₅×#451	C₂²	semidirect
90. C₅×#451	C₂²	semidirect
91. C₅×#451	C₂²	semidirect
92. C₅×#451	C₂²	semidirect
93. C₅×#419	C₂²	semidirect
94. C₅×#416	C₂²	semidirect
95. C₅×#408	C₂²	semidirect
98. #65528	C₂²	semidirect
99. #65528	C₂²	semidirect
100. #65523	C₂²	semidirect
101. #65522	C₂²	semidirect
102. #65517	C₂²	semidirect
103. #65517	C₂²	semidirect
104. #65517	C₂²	semidirect
105. #65517	C₂²	semidirect
106. #65517	C₂²	semidirect
107. #65516	C₂²	semidirect
108. #65514	C₂²	semidirect
109. #65479	C₂²	semidirect
110. #65479	C₂²	semidirect
111. #65478	C₂²	semidirect
112. #65478	C₂²	semidirect
119. #65475	C₂²	semidirect
120. #65475	C₂²	semidirect
121. #65474	C₂²	semidirect
122. #65474	C₂²	semidirect
123. #65473	C₂²	semidirect
124. Q₁₆×Dic₅	C₂²	semidirect
125. #65471	C₂²	semidirect
126. #65471	C₂²	semidirect
127. #65471	C₂²	semidirect
128. #65471	C₂²	semidirect
129. #65470	C₂²	semidirect
130. #65470	C₂²	semidirect
133. #65453	C₂²	semidirect
134. #65451	C₂²	semidirect
135. #65451	C₂²	semidirect
136. SD₁₆×Dic₅	C₂²	semidirect
137. #65426	C₂²	semidirect
138. #65423	C₂²	semidirect
139. #65417	C₂²	semidirect
141. #65405	C₂²	semidirect
142. #65403	C₂²	semidirect
143. #65400	C₂²	semidirect
145. #65341	C₂²	semidirect
146. #65340	C₂²	semidirect
147. #65338	C₂²	semidirect
148. #65337	C₂²	semidirect
151. #65333	C₂²	semidirect
152. #65332	C₂²	semidirect
153. #65292	C₂²	semidirect
154. #65285	C₂²	semidirect
155. #65105	C₂²	semidirect
156. #65105	C₂²	semidirect
160. #65098	C₂²	semidirect
161. #65098	C₂²	semidirect
167. #65089	C₂²	semidirect
168. #65089	C₂²	semidirect
169. #65088	C₂²	semidirect
170. #65087	C₂²	semidirect
171. #65087	C₂²	semidirect
172. #65086	C₂²	semidirect
173. #65086	C₂²	semidirect
174. #65085	C₂²	semidirect
175. #65082	C₂²	semidirect
176. #65082	C₂²	semidirect
177. #65079	C₂²	semidirect
178. #65078	C₂²	semidirect
183. #65055	C₂²	semidirect
184. #65052	C₂²	semidirect
185. #65047	C₂²	semidirect
186. #65046	C₂²	semidirect
187. #65028	C₂²	semidirect
188. #65027	C₂²	semidirect
189. #65026	C₂²	semidirect
192. #65019	C₂²	semidirect
193. #65018	C₂²	semidirect
198. #65012	C₂²	semidirect
199. #65011	C₂²	semidirect
200. #65010	C₂²	semidirect
201. #65009	C₂²	semidirect
202. #65009	C₂²	semidirect
518. #3011	D₅	semidirect
772. C₂×#137	C₂×D₅	semidirect
775. C₂²×Q₁₆	C₂×D₅	semidirect
812. #536	C₂×D₅	semidirect
886. #452	C₂×D₅	semidirect
887. #452	C₂×D₅	semidirect
900. #451	C₂×D₅	semidirect
901. #451	C₂×D₅	semidirect
902. #451	C₂×D₅	semidirect
903. #451	C₂×D₅	semidirect
927. #419	C₂×D₅	semidirect
931. #416	C₂×D₅	semidirect
935. #408	C₂×D₅	semidirect
1773. C₅	#61622	semidirect

Maximal subgroups

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

subgroup	index
#10619196	2
#10618260	2
C₅×#3011	2
#10615848	2
#10615727	2
#10615718	2
Q₁₆×C₂²⋊D₅	2
#10615619	2
#10615139	2
#10612005	2
#10611984	2
#10611977	2
#10611972	2
#10611959	2
D₅×#452	2
#10611948	2
#10611947	2
#10611942	2
#10611939	2
#10611930	2
#10611927	2
#10611920	2
#10611918	2
#10611911	2
#10610702	2
#10610697	2
#10610588	2
#10610576	2
#10610412	2
#10610395	2
#61622	5