Subgroups — #12976686

Order 1280.

2230 conjugacy classes of subgroups.

The subgroup lattice has 1898 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10618873	C₂	1	1	yes	maximal, characteristic, complemented
2	#10618521	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#3325	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615384	C₂	1	1	yes	maximal, characteristic, complemented
5	#10615215	C₂	1	1	yes	maximal, characteristic, complemented
6	#10613311	C₂	1	1	yes	maximal, characteristic, complemented
7	#10613294	C₂	1	1	yes	maximal, characteristic, complemented
8	#10613132	C₂	1	1	yes	maximal, characteristic, complemented
9	#10613114	C₂	1	1	yes	maximal, characteristic, complemented
10	#10613106	C₂	1	1	yes	maximal, characteristic, complemented
11	#10613103	C₂	1	1	yes	maximal, characteristic, complemented
12	#10612809	C₂	1	1	yes	maximal, characteristic, complemented
13	#10612793	C₂	1	1	yes	maximal, characteristic, complemented
14	#10612615	C₂	1	1	yes	maximal, characteristic, complemented
15	#10612609	C₂	1	1	yes	maximal, characteristic, complemented
16	#10612598	C₂	1	1	yes	maximal, characteristic, complemented
17	#10612594	C₂	1	1	yes	maximal, characteristic, complemented
18	#10612086	C₂	1	1	yes	maximal, characteristic, complemented
19	#10612066	C₂	1	1	yes	maximal, characteristic, complemented
20	#10611750	C₂	1	1	yes	maximal, characteristic, complemented
21	#10611748	C₂	1	1	yes	maximal, characteristic, complemented
22	#10611736	C₂	1	1	yes	maximal, characteristic, complemented
23	#10611733	C₂	1	1	yes	maximal, characteristic, complemented
24	#10611342	C₂	1	1	yes	maximal, characteristic, complemented
25	#10611318	C₂	1	1	yes	maximal, characteristic, complemented
26	#10611285	C₂	1	1	yes	maximal, characteristic, complemented
27	#10611268	C₂	1	1	yes	maximal, characteristic, complemented
28	#10610671	C₂	1	1	yes	maximal, characteristic, complemented
29	#10610670	C₂	1	1	yes	maximal, characteristic, complemented
30	#10610656	C₂	1	1	yes	maximal, characteristic, complemented
31	D₅×#418	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#4144	C₂²	1	1	yes	characteristic
33	C₂²×D₄×D₅	C₂²	1	1	yes	characteristic
34	C₅×#555	C₂²	1	1	yes	characteristic, complemented
35	C₅×D₄²	C₂²	1	1	yes	characteristic
36	#66140	C₂²	1	1	yes	characteristic
37	D₄×C₂²⋊D₅	—	2	1	no	—
38	D₄×C₂²⋊D₅	C₂²	1	1	yes	characteristic
39	C₂×#4083	—	2	1	no	—
40	C₂×#4058	C₂²	1	1	yes	characteristic, complemented
41	C₂×#4057	C₂²	1	1	yes	characteristic
42	C₂×#4057	C₂²	1	1	yes	characteristic, complemented
43	C₂×#4053	C₂²	1	1	yes	characteristic, complemented
44	C₂×D₅×M₁₆	C₂²	1	1	yes	characteristic, complemented
45	#66066	C₂²	1	1	yes	characteristic, complemented
46	#66063	C₂²	1	1	yes	characteristic, complemented
47	#66051	C₂²	1	1	yes	characteristic
48	#66049	C₂²	1	1	yes	characteristic
49	#66014	—	2	1	no	—
50	#66012	—	2	1	no	—
51	#66005	—	2	1	no	—
52	#66004	—	2	1	no	—
53	#65952	C₂²	1	1	yes	characteristic, complemented
54	#65950	C₂²	1	1	yes	characteristic, complemented
55	#65947	—	2	1	no	—
56	#65946	C₂²	1	1	yes	characteristic
57	#65944	—	2	1	no	—
58	#65943	C₂²	1	1	yes	characteristic
59	#65942	C₂²	1	1	yes	characteristic, complemented
60	#65941	C₂²	1	1	yes	characteristic
61	#65940	C₂²	1	1	yes	characteristic
62	#65940	C₂²	1	1	yes	characteristic, complemented
63	#65939	—	2	1	no	—
64	#65935	—	2	1	no	—
65	#65925	—	2	1	no	—
66	#65924	—	2	1	no	—
67	#65923	—	2	1	no	—
68	D₅×#120	—	2	1	no	—
69	#65892	C₂²	1	1	yes	characteristic, complemented
70	#65888	C₂²	1	1	yes	characteristic
71	#65884	C₂²	1	1	yes	characteristic
72	#65881	C₂²	1	1	yes	characteristic
73	#65880	C₂²	1	1	yes	characteristic, complemented
74	#65879	C₂²	1	1	yes	characteristic
75	#65875	C₂²	1	1	yes	characteristic, complemented
76	#65867	C₂²	1	1	yes	characteristic, complemented
77	#65865	—	2	1	no	—
78	#65863	C₂²	1	1	yes	characteristic, complemented
79	#65862	—	2	1	no	—
80	#65857	C₂²	1	1	yes	characteristic, complemented
81	D₅×#117	C₂²	1	1	yes	characteristic, complemented
82	C₅×#486	C₂²	1	1	yes	characteristic, complemented
83	C₅×#482	C₂²	1	1	yes	characteristic, complemented
84	C₅×#482	C₂²	1	1	yes	characteristic, complemented
85	C₅×#476	C₂²	1	1	yes	characteristic, complemented
86	C₅×#469	C₂²	1	1	yes	characteristic, complemented
87	C₅×#469	C₂²	1	1	yes	characteristic, complemented
88	C₅×#459	C₂²	1	1	yes	characteristic, complemented
89	C₅×#447	C₂²	1	1	yes	characteristic, complemented
90	C₅×#447	C₂²	1	1	yes	characteristic, complemented
91	C₄×C₅×D₈	C₂²	1	1	yes	characteristic, complemented
92	C₅×#436	C₂²	1	1	yes	characteristic, complemented
93	C₅×#418	C₂²	1	1	yes	characteristic, complemented
94	C₅×#418	C₂²	1	1	yes	characteristic, complemented
95	#65507	C₂²	1	1	yes	characteristic, complemented
96	#65507	C₂²	1	1	yes	characteristic, complemented
97	#65504	C₂²	1	1	yes	characteristic, complemented
98	C₂×#3964	C₂²	1	1	yes	characteristic, complemented
99	#65448	C₂²	1	1	yes	characteristic, complemented
100	#65447	C₂²	1	1	yes	characteristic, complemented
101	#65446	C₂²	1	1	yes	characteristic, complemented
102	#65445	C₂²	1	1	yes	characteristic, complemented
103	#65445	C₂²	1	1	yes	characteristic, complemented
104	#65445	C₂²	1	1	yes	characteristic, complemented
105	#65442	C₂²	1	1	yes	characteristic, complemented
106	#65441	C₂²	1	1	yes	characteristic, complemented
107	#65439	C₂²	1	1	yes	characteristic, complemented
108	#65426	C₂²	1	1	yes	characteristic, complemented
109	#65423	C₂²	1	1	yes	characteristic, complemented
110	#65422	C₂²	1	1	yes	characteristic, complemented
111	#65420	C₂²	1	1	yes	characteristic, complemented
112	#65417	C₂²	1	1	yes	characteristic, complemented
113	#65417	C₂²	1	1	yes	characteristic, complemented
114	#65378	C₂²	1	1	yes	characteristic, complemented
115	#65376	C₂²	1	1	yes	characteristic, complemented
116	#65364	C₂²	1	1	yes	characteristic, complemented
117	#65360	C₂²	1	1	yes	characteristic, complemented
118	#65331	C₂²	1	1	yes	characteristic, complemented
119	#65331	C₂²	1	1	yes	characteristic, complemented
120	#65330	C₂²	1	1	yes	characteristic, complemented
121	#65327	C₂²	1	1	yes	characteristic, complemented
122	#65326	C₂²	1	1	yes	characteristic, complemented
123	#65325	C₂²	1	1	yes	characteristic, complemented
124	#65324	C₂²	1	1	yes	characteristic, complemented
125	#65322	C₂²	1	1	yes	characteristic, complemented
126	#65307	C₂²	1	1	yes	characteristic, complemented
127	#65305	C₂²	1	1	yes	characteristic, complemented
128	#65303	C₂²	1	1	yes	characteristic, complemented
129	#65300	C₂²	1	1	yes	characteristic, complemented
130	#65298	C₂²	1	1	yes	characteristic, complemented
131	#65292	C₂²	1	1	yes	characteristic, complemented
132	#65291	C₂²	1	1	yes	characteristic, complemented
133	#65290	C₂²	1	1	yes	characteristic, complemented
134	#65285	C₂²	1	1	yes	characteristic, complemented
135	#65178	C₂²	1	1	yes	characteristic, complemented
136	#65177	C₂²	1	1	yes	characteristic, complemented
137	#65171	C₂²	1	1	yes	characteristic, complemented
138	#65170	C₂²	1	1	yes	characteristic, complemented
139	#65160	C₂²	1	1	yes	characteristic, complemented
140	#65159	C₂²	1	1	yes	characteristic, complemented
141	#65157	C₂²	1	1	yes	characteristic, complemented
142	#65156	C₂²	1	1	yes	characteristic, complemented
143	#65155	C₂²	1	1	yes	characteristic, complemented
144	#65153	C₂²	1	1	yes	characteristic, complemented
145	#65150	C₂²	1	1	yes	characteristic, complemented
146	#65149	C₂²	1	1	yes	characteristic, complemented
147	#65136	C₂²	1	1	yes	characteristic, complemented
148	#65134	C₂²	1	1	yes	characteristic, complemented
149	#65128	C₂²	1	1	yes	characteristic, complemented
150	#65125	C₂²	1	1	yes	characteristic, complemented
151	#65073	C₂²	1	1	yes	characteristic, complemented
152	#65072	C₂²	1	1	yes	characteristic, complemented
153	#65071	C₂²	1	1	yes	characteristic, complemented
154	#65069	C₂²	1	1	yes	characteristic, complemented
155	#65069	C₂²	1	1	yes	characteristic, complemented
156	#65069	C₂²	1	1	yes	characteristic, complemented
157	#65068	C₂²	1	1	yes	characteristic, complemented
158	#65068	C₂²	1	1	yes	characteristic, complemented
159	#65066	C₂²	1	1	yes	characteristic, complemented
160	#65065	C₂²	1	1	yes	characteristic, complemented
161	#65065	C₂²	1	1	yes	characteristic, complemented
162	#65065	C₂²	1	1	yes	characteristic, complemented
163	#65061	C₂²	1	1	yes	characteristic, complemented
164	#65061	C₂²	1	1	yes	characteristic, complemented
165	#65061	C₂²	1	1	yes	characteristic, complemented
166	#65060	C₂²	1	1	yes	characteristic, complemented
167	#65060	C₂²	1	1	yes	characteristic, complemented
168	#65060	C₂²	1	1	yes	characteristic, complemented
169	#65059	C₂²	1	1	yes	characteristic
170	#65059	C₂²	1	1	yes	characteristic, complemented
171	#65059	C₂²	1	1	yes	characteristic, complemented
172	#65059	C₂²	1	1	yes	characteristic, complemented
173	#65059	C₂²	1	1	yes	characteristic, complemented
174	#65059	C₂²	1	1	yes	characteristic, complemented
175	#65059	C₂²	1	1	yes	characteristic, complemented
176	D₅×#102	C₂²	1	1	yes	characteristic
177	D₅×#102	C₂²	1	1	yes	characteristic
178	D₅×#102	C₂²	1	1	yes	characteristic, complemented
179	D₅×#102	C₂²	1	1	yes	characteristic, complemented
180	D₅×#102	C₂²	1	1	yes	characteristic, complemented
181	#65057	C₂²	1	1	yes	characteristic, complemented
182	#65056	C₂²	1	1	yes	characteristic, complemented
183	#65054	C₂²	1	1	yes	characteristic, complemented
184	#65053	C₂²	1	1	yes	characteristic, complemented
185	#65052	C₂²	1	1	yes	characteristic, complemented
186	#65051	C₂²	1	1	yes	characteristic, complemented
187	#65049	C₂²	1	1	yes	characteristic, complemented
188	#65048	C₂²	1	1	yes	characteristic, complemented
189	#65047	C₂²	1	1	yes	characteristic, complemented
190	#65045	C₂²	1	1	yes	characteristic, complemented
191	#65024	C₂²	1	1	yes	characteristic, complemented
192	#65022	C₂²	1	1	yes	characteristic, complemented
193	#65020	C₂²	1	1	yes	characteristic, complemented
194	#65019	C₂²	1	1	yes	characteristic, complemented
195	#65017	C₂²	1	1	yes	characteristic, complemented
196	#65016	C₂²	1	1	yes	characteristic, complemented
197	#65015	C₂²	1	1	yes	characteristic, complemented
198	#65012	C₂²	1	1	yes	characteristic, complemented
199	#64986	C₂²	1	1	yes	characteristic, complemented
200	C₄×#677	C₂²	1	1	yes	characteristic, complemented
201	#64978	C₂²	1	1	yes	characteristic, complemented
202	#64977	C₂²	1	1	yes	characteristic, complemented
203	#61175	—	5	1	no	maximal, Sylow
204	C₂⁴×D₅	—	2	1	no	—
205	C₂²×C₅×D₄	—	2	1	no	—
206	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
207	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
208	C₂²×C₂²⋊D₅	—	2	1	no	—
209	C₂²×C₂²⋊D₅	—	2	1	no	—
210	C₂²×C₂²⋊D₅	—	2	1	no	—
211	C₂²×C₂²⋊D₅	—	2	1	no	—
212	#4144	—	2	4	no	—
213	#4144	—	4	2	no	—
214	C₂×#711	—	2	1	no	—
215	C₂×#711	C₂³	1	1	yes	characteristic
216	C₂×#711	C₂³	1	1	yes	characteristic
217	C₂×#711	C₂³	1	1	yes	characteristic
218	C₂×D₄×D₅	—	2	4	no	—
219	C₂×D₄×D₅	—	2	1	no	—
220	C₂×D₄×D₅	—	2	1	no	—
221	C₂×D₄×D₅	—	2	1	no	—
222	C₂×D₄×D₅	—	2	1	no	—
223	C₂×D₄×D₅	—	2	1	no	—
224	C₂×D₄×D₅	—	4	2	no	—
225	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
226	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
227	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
228	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
229	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
230	C₂×#709	C₂³	1	1	yes	characteristic
231	C₂×#709	C₂³	1	1	yes	characteristic
232	C₂²×D₂₀	C₂³	1	1	yes	characteristic
233	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
234	C₂×C₅×D₈	C₂³	1	1	yes	characteristic
235	C₂×C₅×D₈	C₂³	1	1	yes	characteristic
236	C₂×C₅×D₈	C₂³	1	1	yes	characteristic, complemented
237	C₂×C₅×M₁₆	C₂³	1	1	yes	characteristic
238	C₂×C₅×M₁₆	C₂³	1	1	yes	characteristic, complemented
239	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic, complemented
240	C₅×#127	C₂³	1	1	yes	characteristic
241	C₅×#124	—	2	1	no	—
242	C₅×#124	—	2	1	no	—
243	C₅×#121	—	2	1	no	—
244	C₅×#121	—	2	1	no	—
245	C₅×#121	C₂³	1	1	yes	characteristic
246	C₅×#121	C₂³	1	1	yes	characteristic
247	C₅×#121	C₂³	1	1	yes	characteristic
248	C₅×#121	C₂³	1	1	yes	characteristic, complemented
249	C₅×#120	—	2	1	no	—
250	C₅×#120	—	2	1	no	—
251	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
252	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
253	C₄×C₅×D₄	C₂³	1	1	yes	characteristic, complemented
254	C₅×#117	—	2	1	no	—
255	C₅×#117	C₂³	1	1	yes	characteristic
256	C₅×#117	C₂³	1	1	yes	characteristic, complemented
257	#4099	—	2	1	no	—
258	#4099	—	2	1	no	—
259	C₂×C₂²⋊Dic₅	—	2	1	no	—
260	#4093	—	2	1	no	—
261	#4092	—	2	1	no	—
262	Q₈×Dic₅	—	2	1	no	—
263	#4090	—	2	1	no	—
264	#4086	—	2	1	no	—
265	#4086	C₂³	1	1	yes	characteristic
266	#4085	—	2	1	no	—
267	#4085	—	2	1	no	—
268	#4085	—	2	1	no	—
269	#4085	—	2	1	no	—
270	#4085	—	2	1	no	—
271	#4085	—	2	1	no	—
272	#4085	—	2	1	no	—
273	#4085	D₄	1	1	yes	characteristic
274	#4084	—	2	1	no	—
275	#4084	—	2	1	no	—
276	#4084	—	2	1	no	—
277	#4084	C₂³	1	1	yes	characteristic
278	#4084	C₂³	1	1	yes	characteristic
279	#4084	C₂³	1	1	yes	characteristic
280	#4084	C₂³	1	1	yes	characteristic, complemented
281	#4083	—	2	1	no	—
282	#4083	—	2	1	no	—
283	#4083	—	2	1	no	—
284	#4083	—	2	1	no	—
285	#4083	—	2	1	no	—
286	#4083	—	2	1	no	—
287	#4083	—	2	1	no	—
288	#4083	—	2	1	no	—
289	#4083	—	2	1	no	—
290	#4083	—	2	1	no	—
291	#4083	—	2	1	no	—
292	#4083	D₄	1	1	yes	characteristic
293	#4082	—	2	1	no	—
294	#4082	C₂³	1	1	yes	characteristic
295	#4081	—	2	1	no	—
296	#4081	—	2	1	no	—
297	D₄×Dic₅	—	2	1	no	—
298	D₄×Dic₅	—	2	1	no	—
299	D₄×Dic₅	—	2	1	no	—
300	D₄×Dic₅	C₂³	1	1	yes	characteristic
301	D₄×Dic₅	C₂³	1	1	yes	characteristic, complemented
302	C₂×#687	C₂³	1	1	yes	characteristic
303	C₂×#687	C₂³	1	1	yes	characteristic
304	C₂×#687	C₂³	1	1	yes	characteristic, complemented
305	C₂×#687	C₂³	1	1	yes	characteristic, complemented
306	C₂×#686	C₂³	1	1	yes	characteristic
307	C₂×#686	C₂³	1	1	yes	characteristic
308	#4076	—	2	1	no	—
309	#4076	C₂³	1	1	yes	characteristic
310	#4075	—	2	1	no	—
311	C₄×C₂²⋊D₅	—	2	1	no	—
312	C₄×C₂²⋊D₅	—	2	1	no	—
313	C₄×C₂²⋊D₅	—	2	1	no	—
314	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
315	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
316	C₂×#685	—	2	1	no	—
317	C₂×#685	—	2	1	no	—
318	#4072	C₂³	1	1	yes	characteristic
319	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic, complemented
320	#4070	C₂³	1	1	yes	characteristic
321	#4070	C₂³	1	1	yes	characteristic
322	#4070	C₂³	1	1	yes	characteristic, complemented
323	C₂×#683	—	2	1	no	—
324	C₂×#681	C₂³	1	1	yes	characteristic
325	C₂²×#168	C₂³	1	1	yes	characteristic, complemented
326	#4058	—	4	2	no	—
327	#4057	—	2	4	no	—
328	#4057	—	4	2	no	—
329	#4053	—	4	2	no	—
330	D₅×M₁₆	—	4	2	no	—
331	C₂×Dic₂₀	C₂³	1	1	yes	characteristic, complemented
332	C₂×#677	C₂³	1	1	yes	characteristic
333	C₂×#677	C₂³	1	1	yes	characteristic
334	C₂×#676	C₂³	1	1	yes	characteristic
335	C₂×#676	C₂³	1	1	yes	characteristic
336	C₂×#676	C₂³	1	1	yes	characteristic
337	C₂×#676	C₂³	1	1	yes	characteristic
338	C₂×#676	C₂³	1	1	yes	characteristic, complemented
339	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
340	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
341	C₂×C₈×D₅	C₂³	1	1	yes	characteristic, complemented
342	#4044	—	2	1	no	—
343	#4044	—	2	1	no	—
344	#4043	C₂³	1	1	yes	characteristic
345	#4043	C₂³	1	1	yes	characteristic
346	#4043	C₂³	1	1	yes	characteristic, complemented
347	#4042	—	2	1	no	—
348	#4042	D₄	1	1	yes	characteristic
349	#4041	C₂³	1	1	yes	characteristic
350	#4040	—	2	1	no	—
351	#4040	D₄	1	1	yes	characteristic
352	#4039	C₂³	1	1	yes	characteristic
353	#4038	C₂³	1	1	yes	characteristic
354	#4038	C₂³	1	1	yes	characteristic
355	#4038	C₂³	1	1	yes	characteristic
356	#4038	C₂³	1	1	yes	characteristic
357	#4038	C₂³	1	1	yes	characteristic, complemented
358	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
359	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
360	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
361	#4036	C₂³	1	1	yes	characteristic, complemented
362	#4035	—	2	1	no	—
363	#4035	—	2	1	no	—
364	#4034	C₂³	1	1	yes	characteristic, complemented
365	#4033	C₂³	1	1	yes	characteristic, complemented
366	#4032	—	2	1	no	—
367	#4032	—	2	1	no	—
368	#4031	—	2	1	no	—
369	#4031	—	2	1	no	—
370	#4031	—	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	D₄	1	1	yes	characteristic
376	#4029	—	2	1	no	—
377	#4029	—	2	1	no	—
378	#4029	—	2	1	no	—
379	#4029	—	2	1	no	—
380	#4029	D₄	1	1	yes	characteristic
381	#4028	—	2	1	no	—
382	#4028	—	2	1	no	—
383	#4028	—	2	1	no	—
384	#4028	D₄	1	1	yes	characteristic
385	#4027	—	2	1	no	—
386	#4027	—	2	1	no	—
387	#4027	—	2	1	no	—
388	#4027	—	2	1	no	—
389	#4027	—	2	1	no	—
390	#4027	—	2	1	no	—
391	D₅×C₂²⋊C₄	—	2	1	no	—
392	D₅×C₂²⋊C₄	—	2	1	no	—
393	D₅×C₂²⋊C₄	—	2	1	no	—
394	D₅×C₂²⋊C₄	—	2	1	no	—
395	#4025	—	2	1	no	—
396	#4025	—	2	1	no	—
397	#4025	—	2	1	no	—
398	#4025	—	2	1	no	—
399	#4025	—	2	1	no	—
400	#4024	—	2	1	no	—
401	#4024	D₄	1	1	yes	characteristic
402	#4023	—	2	1	no	—
403	#4023	—	2	1	no	—
404	#4023	—	2	1	no	—
405	#4023	—	2	1	no	—
406	#4022	—	2	1	no	—
407	#4021	C₂³	1	1	yes	characteristic
408	C₄×D₂₀	—	2	1	no	—
409	C₄×D₂₀	C₂³	1	1	yes	characteristic
410	C₄×D₂₀	C₂³	1	1	yes	characteristic
411	#4018	—	2	1	no	—
412	#4018	—	2	1	no	—
413	#4018	C₂³	1	1	yes	characteristic
414	C₄²×D₅	—	2	1	no	—
415	#4016	—	2	1	no	—
416	#4016	C₂³	1	1	yes	characteristic, complemented
417	C₄×Dic₁₀	—	2	1	no	—
418	C₄×Dic₁₀	—	2	1	no	—
419	C₄×Dic₁₀	C₂³	1	1	yes	characteristic, complemented
420	C₅×#107	C₂³	1	1	yes	characteristic, complemented
421	C₅×#106	C₂³	1	1	yes	characteristic, complemented
422	C₅×#106	C₂³	1	1	yes	characteristic, complemented
423	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic, complemented
424	C₅×#102	C₂³	1	1	yes	characteristic
425	C₅×#102	C₂³	1	1	yes	characteristic
426	C₅×#102	C₂³	1	1	yes	characteristic
427	C₅×#102	C₂³	1	1	yes	characteristic
428	C₅×#102	C₂³	1	1	yes	characteristic
429	C₅×#102	C₂³	1	1	yes	characteristic
430	C₅×#102	C₂³	1	1	yes	characteristic, complemented
431	C₅×#102	C₂³	1	1	yes	characteristic, complemented
432	C₅×#102	C₂³	1	1	yes	characteristic, complemented
433	C₅×#102	C₂³	1	1	yes	characteristic, complemented
434	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
435	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic, complemented
436	C₄×C₅×C₈	C₂³	1	1	yes	characteristic, complemented
437	#3964	C₂³	1	1	yes	characteristic
438	#3964	C₂³	1	1	yes	characteristic
439	#3964	C₂³	1	1	yes	characteristic
440	#3964	C₂³	1	1	yes	characteristic
441	#3964	C₂³	1	1	yes	characteristic
442	#3964	C₂³	1	1	yes	characteristic
443	#3964	C₂³	1	1	yes	characteristic, complemented
444	#3964	C₂³	1	1	yes	characteristic, complemented
445	#3964	C₂³	1	1	yes	characteristic, complemented
446	#3964	C₂³	1	1	yes	characteristic, complemented
447	C₂²⋊#168	C₂³	1	1	yes	characteristic
448	C₂²⋊#168	C₂³	1	1	yes	characteristic, complemented
449	#3953	C₂³	1	1	yes	characteristic
450	#3953	C₂³	1	1	yes	characteristic
451	#3953	C₂³	1	1	yes	characteristic
452	#3953	C₂³	1	1	yes	characteristic
453	#3953	C₂³	1	1	yes	characteristic
454	#3953	C₂³	1	1	yes	characteristic
455	#3952	C₂³	1	1	yes	characteristic
456	#3952	C₂³	1	1	yes	characteristic
457	#3952	C₂³	1	1	yes	characteristic, complemented
458	#3952	C₂³	1	1	yes	characteristic, complemented
459	#3950	C₂³	1	1	yes	characteristic, complemented
460	#3949	C₂³	1	1	yes	characteristic, complemented
461	#3949	C₂³	1	1	yes	characteristic, complemented
462	#3948	C₂³	1	1	yes	characteristic, complemented
463	#3948	C₂³	1	1	yes	characteristic, complemented
464	#3948	C₂³	1	1	yes	characteristic, complemented
465	#3948	C₂³	1	1	yes	characteristic, complemented
466	#3947	C₂³	1	1	yes	characteristic, complemented
467	#3946	C₂³	1	1	yes	characteristic, complemented
468	#3946	C₂³	1	1	yes	characteristic, complemented
469	C₈×Dic₅	C₂³	1	1	yes	characteristic, complemented
470	#3942	C₂³	1	1	yes	characteristic, complemented
471	#3942	C₂³	1	1	yes	characteristic, complemented
472	#3942	C₂³	1	1	yes	characteristic, complemented
473	#3942	C₂³	1	1	yes	characteristic, complemented
474	#3941	C₂³	1	1	yes	characteristic
475	#3941	C₂³	1	1	yes	characteristic
476	#3941	C₂³	1	1	yes	characteristic
477	#3941	C₂³	1	1	yes	characteristic
478	#3941	C₂³	1	1	yes	characteristic
479	#3941	C₂³	1	1	yes	characteristic
480	#3940	C₂³	1	1	yes	characteristic, complemented
481	#3940	C₂³	1	1	yes	characteristic, complemented
482	#3939	C₂³	1	1	yes	characteristic, complemented
483	#3939	C₂³	1	1	yes	characteristic, complemented
484	#3939	C₂³	1	1	yes	characteristic, complemented
485	#3939	C₂³	1	1	yes	characteristic, complemented
486	C₄⋊#168	C₂³	1	1	yes	characteristic, complemented
487	#3935	C₂³	1	1	yes	characteristic, complemented
488	#3493	—	5	1	no	—
489	#3484	—	5	1	no	—
490	#3325	—	5	1	no	—
491	#3325	D₅	1	1	yes	characteristic, complemented
492	#3324	—	5	1	no	—
493	#3324	—	5	1	no	—
494	#3323	—	5	1	no	—
495	#3323	—	5	1	no	—
496	#3322	—	5	1	no	—
497	#3322	—	5	1	no	—
498	#3319	—	5	1	no	—
499	#3319	—	5	1	no	—
500	#3318	—	5	1	no	—
501	#3318	—	5	1	no	—
502	#3311	—	5	1	no	—
503	#3311	—	5	1	no	—
504	#3310	—	5	1	no	—
505	#3310	—	5	1	no	—
506	#3136	—	5	1	no	—
507	#3096	—	5	1	no	—
508	#3093	—	5	1	no	—
509	#3081	—	5	1	no	—
510	#3062	—	5	1	no	—
511	#3054	—	5	1	no	—
512	#3045	—	5	1	no	—
513	#3012	—	5	1	no	—
514	#3003	—	5	1	no	—
515	#2946	—	5	1	no	—
516	#2930	—	5	1	no	—
517	#2897	—	5	1	no	—
518	C₂×#418	—	5	1	no	—
519	C₂⁴×C₅	—	2	1	no	—
520	C₂⁴×C₅	—	2	1	no	—
521	C₂³×D₅	—	2	1	no	—
522	C₂³×D₅	—	2	1	no	—
523	C₂³×D₅	—	2	1	no	—
524	C₂³×D₅	—	2	1	no	—
525	C₂³×D₅	—	2	1	no	—
526	C₂³×D₅	—	2	1	no	—
527	C₂³×D₅	—	4	4	no	—
528	C₂³×D₅	—	8	2	no	—
529	C₂³×D₅	—	8	2	no	—
530	C₂³×D₅	C₂×D₄	1	1	yes	characteristic
531	C₂×C₅×Q₈	—	2	1	no	—
532	C₂×C₅×D₄	—	2	2	no	—
533	C₂×C₅×D₄	—	2	2	no	—
534	C₂×C₅×D₄	—	2	1	no	—
535	C₂×C₅×D₄	—	2	1	no	—
536	C₂×C₅×D₄	—	2	1	no	—
537	C₂×C₅×D₄	—	2	1	no	—
538	C₂×C₅×D₄	—	2	1	no	—
539	C₂×C₅×D₄	—	2	1	no	—
540	C₂×C₅×D₄	—	2	1	no	—
541	C₂×C₅×D₄	—	2	1	no	—
542	C₂×C₅×D₄	—	4	1	no	—
543	C₂×C₅×D₄	—	4	1	no	—
544	C₂×C₅×D₄	—	8	2	no	—
545	C₂×C₅×D₄	C₂×D₄	1	1	yes	characteristic
546	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
547	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
548	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
549	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
550	C₂²×C₄×C₅	—	2	1	no	—
551	C₂²×C₄×C₅	—	2	1	no	—
552	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
553	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
554	C₂×C₂²⋊D₅	—	2	1	no	—
555	C₂×C₂²⋊D₅	—	2	1	no	—
556	C₂×C₂²⋊D₅	—	2	1	no	—
557	C₂×C₂²⋊D₅	—	2	1	no	—
558	C₂×C₂²⋊D₅	—	2	1	no	—
559	C₂×C₂²⋊D₅	—	2	1	no	—
560	C₂×C₂²⋊D₅	—	2	1	no	—
561	C₂×C₂²⋊D₅	—	2	1	no	—
562	C₂×C₂²⋊D₅	—	2	1	no	—
563	C₂×C₂²⋊D₅	—	2	1	no	—
564	C₂×C₂²⋊D₅	—	2	1	no	—
565	C₂×C₂²⋊D₅	—	2	1	no	—
566	C₂×C₂²⋊D₅	—	2	1	no	—
567	C₂×C₂²⋊D₅	—	2	1	no	—
568	C₂×C₂²⋊D₅	—	2	1	no	—
569	C₂×C₂²⋊D₅	—	2	1	no	—
570	C₂×C₂²⋊D₅	—	4	4	no	—
571	C₂×C₂²⋊D₅	—	4	4	no	—
572	C₂×C₂²⋊D₅	—	4	4	no	—
573	C₂×C₂²⋊D₅	—	8	2	no	—
574	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
575	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
576	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
577	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
578	C₂²×Dic₅	—	2	1	no	—
579	C₂²×Dic₅	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
585	#711	—	2	2	no	—
586	#711	—	2	2	no	—
587	#711	—	2	2	no	—
588	#711	—	2	2	no	—
589	#711	—	2	2	no	—
590	#711	—	4	1	no	—
591	#711	—	4	4	no	—
592	D₄×D₅	—	2	2	no	—
593	D₄×D₅	—	2	2	no	—
594	D₄×D₅	—	2	2	no	—
595	D₄×D₅	—	2	2	no	—
596	D₄×D₅	—	2	2	no	—
597	D₄×D₅	—	2	2	no	—
598	D₄×D₅	—	4	1	no	—
599	D₄×D₅	—	4	1	no	—
600	D₄×D₅	—	4	1	no	—
601	D₄×D₅	—	4	4	no	—
602	D₄×D₅	—	4	4	no	—
603	D₄×D₅	—	4	4	no	—
604	D₄×D₅	—	8	2	no	—
605	D₄×D₅	—	8	2	no	—
606	D₄×D₅	#41	1	4	yes	—
607	#709	—	2	2	no	—
608	#709	—	2	2	no	—
609	#709	—	2	2	no	—
610	#709	—	4	1	no	—
611	C₂×D₂₀	—	2	2	no	—
612	C₂×D₂₀	—	2	1	no	—
613	C₂×D₂₀	—	2	1	no	—
614	C₂×D₂₀	—	4	1	no	—
615	C₂×D₂₀	C₂×D₄	1	1	yes	characteristic
616	C₂×D₂₀	C₂×D₄	1	1	yes	characteristic
617	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
618	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
619	C₂×C₄×D₅	—	2	2	no	—
620	C₂×C₄×D₅	—	2	2	no	—
621	C₂×C₄×D₅	—	2	1	no	—
622	C₂×C₄×D₅	—	2	1	no	—
623	C₂×C₄×D₅	—	2	1	no	—
624	C₂×C₄×D₅	—	2	1	no	—
625	C₂×C₄×D₅	—	2	1	no	—
626	C₂×C₄×D₅	—	2	1	no	—
627	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
628	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
629	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
630	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
631	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
632	C₂×Dic₁₀	—	2	1	no	—
633	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
634	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
635	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
636	C₅×D₈	—	2	2	no	—
637	C₅×D₈	—	4	1	no	—
638	C₅×D₈	—	4	1	no	—
639	C₅×M₁₆	—	4	1	no	—
640	C₅×M₁₆	—	4	1	no	—
641	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
642	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
643	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
644	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
645	C₅×C₄⋊C₄	—	2	1	no	—
646	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
647	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
648	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
649	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
650	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
651	C₅×C₂²⋊C₄	—	2	1	no	—
652	C₅×C₂²⋊C₄	—	2	1	no	—
653	C₅×C₂²⋊C₄	—	2	1	no	—
654	C₅×C₂²⋊C₄	—	2	1	no	—
655	C₅×C₂²⋊C₄	—	2	1	no	—
656	C₅×C₂²⋊C₄	—	2	1	no	—
657	C₅×C₂²⋊C₄	—	2	1	no	—
658	C₅×C₂²⋊C₄	—	2	1	no	—
659	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
660	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
661	C₄²×C₅	—	2	1	no	—
662	C₄²×C₅	—	2	1	no	—
663	C₄²×C₅	C₂⁴	1	1	yes	characteristic
664	C₂²⋊Dic₅	—	2	1	no	—
665	C₂²⋊Dic₅	—	2	1	no	—
666	C₂²⋊Dic₅	—	2	1	no	—
667	C₂²⋊Dic₅	—	2	1	no	—
668	C₂²⋊Dic₅	—	2	1	no	—
669	C₂²⋊Dic₅	—	2	1	no	—
670	C₂²⋊Dic₅	—	2	1	no	—
671	C₂²⋊Dic₅	—	2	1	no	—
672	C₂²⋊Dic₅	—	2	1	no	—
673	C₂²⋊Dic₅	—	2	1	no	—
674	C₂²⋊Dic₅	—	2	1	no	—
675	C₂²⋊Dic₅	—	2	1	no	—
676	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
677	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
678	#687	—	2	2	no	—
679	#687	—	4	1	no	—
680	#687	—	4	1	no	—
681	#687	—	4	1	no	—
682	#686	—	2	2	no	—
683	#686	—	4	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	—	2	1	no	—
696	#685	—	2	1	no	—
697	#685	—	2	1	no	—
698	#685	C₂×D₄	1	1	yes	characteristic
699	#685	C₂×D₄	1	1	yes	characteristic
700	#685	C₂×D₄	1	1	yes	characteristic
701	#685	C₂×D₄	1	1	yes	characteristic
702	#685	C₂×D₄	1	1	yes	characteristic
703	#685	C₂×D₄	1	1	yes	characteristic
704	C₄⋊Dic₅	—	2	1	no	—
705	C₄⋊Dic₅	—	2	1	no	—
706	C₄⋊Dic₅	—	2	1	no	—
707	C₄⋊Dic₅	—	2	1	no	—
708	C₄⋊Dic₅	—	2	1	no	—
709	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
710	C₄⋊Dic₅	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	C₂×D₄	1	1	yes	characteristic
727	#683	C₂×D₄	1	1	yes	characteristic
728	#683	C₂×D₄	1	1	yes	characteristic
729	#683	C₂×D₄	1	1	yes	characteristic
730	C₄×Dic₅	—	2	1	no	—
731	C₄×Dic₅	—	2	1	no	—
732	C₄×Dic₅	—	2	1	no	—
733	C₄×Dic₅	—	2	1	no	—
734	C₄×Dic₅	—	2	1	no	—
735	C₄×Dic₅	—	2	1	no	—
736	C₄×Dic₅	—	2	1	no	—
737	C₄×Dic₅	—	2	1	no	—
738	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
739	#681	—	4	1	no	—
740	C₂×#168	—	4	1	no	—
741	C₂×#168	C₂⁴	1	1	yes	characteristic
742	C₂×#168	C₂⁴	1	1	yes	characteristic
743	C₂×#168	C₂⁴	1	1	yes	characteristic
744	C₂×#168	C₂⁴	1	1	yes	characteristic
745	Dic₂₀	—	4	1	no	—
746	#677	—	2	2	no	—
747	#677	—	4	1	no	—
748	#676	—	2	2	no	—
749	#676	—	2	2	no	—
750	#676	—	4	1	no	—
751	#676	—	4	1	no	—
752	#676	—	4	1	no	—
753	C₈×D₅	—	2	2	no	—
754	C₈×D₅	—	2	2	no	—
755	C₈×D₅	—	4	1	no	—
756	C₂×H(5,𝔽₂)	—	5	1	no	—
757	C₂³×D₄	—	5	1	no	—
758	C₂×AGL(1,ℤ/8)	—	5	1	no	—
759	C₂×AGL(1,ℤ/8)	—	5	1	no	—
760	C₂×#135	—	5	1	no	—
761	C₂×#131	—	5	1	no	—
762	C₂²×M₁₆	—	5	1	no	—
763	#556	—	5	1	no	—
764	#556	—	5	1	no	—
765	#556	—	10	1	no	—
766	#555	—	5	1	no	—
767	#555	—	10	1	no	—
768	#555	C₂×D₅	1	1	yes	characteristic, complemented
769	#553	—	5	1	no	—
770	#553	—	5	1	no	—
771	#553	—	10	1	no	—
772	#552	—	5	1	no	—
773	#552	—	5	1	no	—
774	#552	—	10	1	no	—
775	#546	—	5	1	no	—
776	#546	—	5	1	no	—
777	#546	—	5	1	no	—
778	#546	—	5	1	no	—
779	#546	—	10	1	no	—
780	#546	—	10	1	no	—
781	D₄²	—	5	1	no	—
782	D₄²	—	5	1	no	—
783	D₄²	—	5	1	no	—
784	D₄²	—	10	1	no	—
785	D₄²	—	10	1	no	—
786	D₄²	C₂×D₅	1	1	yes	characteristic
787	#544	—	5	1	no	—
788	#538	—	10	1	no	—
789	#538	—	10	1	no	—
790	#537	—	5	1	no	—
791	#535	—	5	1	no	—
792	#535	—	5	1	no	—
793	#534	—	10	1	no	—
794	#534	—	10	1	no	—
795	#529	—	10	1	no	—
796	#529	—	10	1	no	—
797	#525	—	5	1	no	—
798	#525	—	5	1	no	—
799	#525	—	5	1	no	—
800	C₂×#120	—	10	1	no	—
801	C₂×#120	—	10	1	no	—
802	#520	—	5	1	no	—
803	#520	—	5	1	no	—
804	#518	—	5	1	no	—
805	C₂×#117	—	5	1	no	—
806	#490	—	5	1	no	—
807	#490	—	5	1	no	—
808	#489	—	5	1	no	—
809	#489	—	5	1	no	—
810	#488	—	5	1	no	—
811	#488	—	5	1	no	—
812	#486	—	5	1	no	—
813	#486	C₂×D₅	1	1	yes	characteristic, complemented
814	#485	—	5	1	no	—
815	#485	—	5	1	no	—
816	#485	—	5	1	no	—
817	#485	—	5	1	no	—
818	#482	—	5	1	no	—
819	#482	—	5	1	no	—
820	#482	—	5	1	no	—
821	#482	—	5	1	no	—
822	#482	—	5	1	no	—
823	#482	—	5	1	no	—
824	#482	C₂×D₅	1	1	yes	characteristic, complemented
825	#482	C₂×D₅	1	1	yes	characteristic, complemented
826	#481	—	5	1	no	—
827	#481	—	5	1	no	—
828	#480	—	5	1	no	—
829	#480	—	5	1	no	—
830	#478	—	5	1	no	—
831	#478	—	5	1	no	—
832	#478	—	5	1	no	—
833	#478	—	5	1	no	—
834	#476	—	5	1	no	—
835	#476	C₂×D₅	1	1	yes	characteristic, complemented
836	#474	—	5	1	no	—
837	#474	—	5	1	no	—
838	#470	—	5	1	no	—
839	#470	—	5	1	no	—
840	#469	—	5	1	no	—
841	#469	—	5	1	no	—
842	#469	C₂×D₅	1	1	yes	characteristic, complemented
843	#469	C₂×D₅	1	1	yes	characteristic, complemented
844	#468	—	5	1	no	—
845	#468	—	5	1	no	—
846	#468	—	5	1	no	—
847	#468	—	5	1	no	—
848	#468	—	5	1	no	—
849	#468	—	5	1	no	—
850	#466	—	5	1	no	—
851	#466	—	5	1	no	—
852	#465	—	5	1	no	—
853	#465	—	5	1	no	—
854	#464	—	5	1	no	—
855	#464	—	5	1	no	—
856	#463	—	5	1	no	—
857	#463	—	5	1	no	—
858	#460	—	5	1	no	—
859	#460	—	5	1	no	—
860	#459	—	5	1	no	—
861	#459	C₂×D₅	1	1	yes	characteristic, complemented
862	#452	—	5	1	no	—
863	#452	—	5	1	no	—
864	#450	—	5	1	no	—
865	#450	—	5	1	no	—
866	#450	—	5	1	no	—
867	#450	—	5	1	no	—
868	#450	—	5	1	no	—
869	#450	—	5	1	no	—
870	#449	—	5	1	no	—
871	#449	—	5	1	no	—
872	#447	—	5	1	no	—
873	#447	—	5	1	no	—
874	#447	—	5	1	no	—
875	#447	—	5	1	no	—
876	#447	C₂×D₅	1	1	yes	characteristic, complemented
877	#447	C₂×D₅	1	1	yes	characteristic, complemented
878	#442	—	5	1	no	—
879	#442	—	5	1	no	—
880	#440	—	5	1	no	—
881	#440	—	5	1	no	—
882	C₄×SD₁₆	—	5	1	no	—
883	C₄×SD₁₆	—	5	1	no	—
884	C₄×D₈	—	5	1	no	—
885	C₄×D₈	C₂×D₅	1	1	yes	characteristic, complemented
886	#436	—	5	1	no	—
887	#436	—	5	1	no	—
888	#436	—	5	1	no	—
889	#436	C₂×D₅	1	1	yes	characteristic, complemented
890	#435	—	5	1	no	—
891	#435	—	5	1	no	—
892	#435	—	5	1	no	—
893	#435	—	5	1	no	—
894	#428	—	5	1	no	—
895	#428	—	5	1	no	—
896	#427	—	5	1	no	—
897	#424	—	5	1	no	—
898	#418	—	5	1	no	—
899	#418	—	5	1	no	—
900	#418	—	5	1	no	—
901	#418	—	5	1	no	—
902	#418	—	5	1	no	—
903	#418	—	5	1	no	—
904	#418	—	5	1	no	—
905	#418	—	5	1	no	—
906	#418	—	5	1	no	—
907	#418	—	5	1	no	—
908	#418	C₂×D₅	1	1	yes	characteristic, complemented
909	#418	C₂×D₅	1	1	yes	characteristic, complemented
910	#417	—	5	1	no	—
911	#417	—	5	1	no	—
912	#417	—	5	1	no	—
913	#417	—	5	1	no	—
914	#416	—	5	1	no	—
915	#416	—	5	1	no	—
916	#416	—	5	1	no	—
917	#416	—	5	1	no	—
918	C₂×#102	—	5	1	no	—
919	C₂×#102	—	5	1	no	—
920	C₂×#102	—	5	1	no	—
921	C₂×#102	—	5	1	no	—
922	C₂×#102	—	5	1	no	—
923	C₂×#102	—	5	1	no	—
924	#408	—	5	1	no	—
925	#407	—	5	1	no	—
926	#405	—	5	1	no	—
927	C₂³×C₅	—	2	1	no	—
928	C₂³×C₅	—	2	1	no	—
929	C₂³×C₅	—	2	1	no	—
930	C₂³×C₅	—	2	1	no	—
931	C₂³×C₅	—	4	2	no	—
932	C₂³×C₅	—	4	2	no	—
933	C₂³×C₅	—	4	2	no	—
934	C₂³×C₅	—	8	1	no	—
935	C₂³×C₅	—	8	1	no	—
936	C₂³×C₅	—	8	1	no	—
937	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
938	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
939	C₂²×D₅	—	2	1	no	—
940	C₂²×D₅	—	2	2	no	—
941	C₂²×D₅	—	2	4	no	—
942	C₂²×D₅	—	2	1	no	—
943	C₂²×D₅	—	4	1	no	—
944	C₂²×D₅	—	4	1	no	—
945	C₂²×D₅	—	4	2	no	—
946	C₂²×D₅	—	4	2	no	—
947	C₂²×D₅	—	4	2	no	—
948	C₂²×D₅	—	4	2	no	—
949	C₂²×D₅	—	4	2	no	—
950	C₂²×D₅	—	4	2	no	—
951	C₂²×D₅	—	4	2	no	—
952	C₂²×D₅	—	4	2	no	—
953	C₂²×D₅	—	8	1	no	—
954	C₂²×D₅	—	8	1	no	—
955	C₂²×D₅	—	8	1	no	—
956	C₂²×D₅	—	8	1	no	—
957	C₂²×D₅	—	8	1	no	—
958	C₂²×D₅	—	8	1	no	—
959	C₂²×D₅	—	8	1	no	—
960	C₂²×D₅	—	8	1	no	—
961	C₂²×D₅	—	8	1	no	—
962	C₂²×D₅	—	8	16	no	—
963	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
964	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
965	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
966	C₅×Q₈	—	8	1	no	—
967	C₅×D₄	—	2	1	no	—
968	C₅×D₄	—	2	1	no	—
969	C₅×D₄	—	2	1	no	—
970	C₅×D₄	—	2	1	no	—
971	C₅×D₄	—	2	1	no	—
972	C₅×D₄	—	2	1	no	—
973	C₅×D₄	—	2	1	no	—
974	C₅×D₄	—	4	1	no	—
975	C₅×D₄	—	4	2	no	—
976	C₅×D₄	—	4	2	no	—
977	C₅×D₄	—	4	2	no	—
978	C₅×D₄	—	8	1	no	—
979	C₅×D₄	—	8	1	no	—
980	C₅×D₄	—	8	1	no	—
981	C₅×D₄	—	8	1	no	—
982	C₅×D₄	—	8	1	no	—
983	C₅×D₄	C₂×#41	1	2	yes	—
984	C₂×C₄×C₅	—	2	1	no	—
985	C₂×C₄×C₅	—	2	1	no	—
986	C₂×C₄×C₅	—	2	1	no	—
987	C₂×C₄×C₅	—	2	1	no	—
988	C₂×C₄×C₅	—	2	1	no	—
989	C₂×C₄×C₅	—	2	1	no	—
990	C₂×C₄×C₅	—	2	1	no	—
991	C₂×C₄×C₅	—	2	1	no	—
992	C₂×C₄×C₅	—	8	1	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	C₂²×D₄	1	1	yes	characteristic
998	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
999	C₂²⋊D₅	—	2	2	no	—
1000	C₂²⋊D₅	—	2	2	no	—
1001	C₂²⋊D₅	—	2	4	no	—
1002	C₂²⋊D₅	—	4	1	no	—
1003	C₂²⋊D₅	—	4	1	no	—
1004	C₂²⋊D₅	—	4	2	no	—
1005	C₂²⋊D₅	—	4	2	no	—
1006	C₂²⋊D₅	—	4	2	no	—
1007	C₂²⋊D₅	—	4	2	no	—
1008	C₂²⋊D₅	—	4	2	no	—
1009	C₂²⋊D₅	—	4	2	no	—
1010	C₂²⋊D₅	—	4	2	no	—
1011	C₂²⋊D₅	—	4	2	no	—
1012	C₂²⋊D₅	—	4	2	no	—
1013	C₂²⋊D₅	—	8	1	no	—
1014	C₂²⋊D₅	—	8	1	no	—
1015	C₂²⋊D₅	—	8	1	no	—
1016	C₂²⋊D₅	—	8	1	no	—
1017	C₂²⋊D₅	—	8	1	no	—
1018	C₂²⋊D₅	—	8	1	no	—
1019	C₂×Dic₅	—	2	2	no	—
1020	C₂×Dic₅	—	2	1	no	—
1021	C₂×Dic₅	—	2	1	no	—
1022	C₂×Dic₅	—	2	1	no	—
1023	C₂×Dic₅	—	2	1	no	—
1024	C₂×Dic₅	—	2	1	no	—
1025	C₂×Dic₅	—	2	1	no	—
1026	C₂×Dic₅	—	4	2	no	—
1027	C₂×Dic₅	—	4	2	no	—
1028	C₂×Dic₅	—	4	2	no	—
1029	C₂×Dic₅	—	8	1	no	—
1030	C₂×Dic₅	—	8	1	no	—
1031	C₂×Dic₅	—	8	1	no	—
1032	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1033	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1034	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1035	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1036	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1037	D₂₀	—	2	2	no	—
1038	D₂₀	—	2	1	no	—
1039	D₂₀	—	2	1	no	—
1040	D₂₀	—	2	1	no	—
1041	D₂₀	—	4	1	no	—
1042	D₂₀	—	4	2	no	—
1043	D₂₀	—	8	1	no	—
1044	D₂₀	C₂×#41	1	2	yes	—
1045	C₄×D₅	—	2	2	no	—
1046	C₄×D₅	—	2	1	no	—
1047	C₄×D₅	—	2	1	no	—
1048	C₄×D₅	—	2	1	no	—
1049	C₄×D₅	—	2	1	no	—
1050	C₄×D₅	—	2	2	no	—
1051	C₄×D₅	—	4	2	no	—
1052	C₄×D₅	—	8	1	no	—
1053	C₄×D₅	—	8	1	no	—
1054	C₄×D₅	—	8	1	no	—
1055	C₄×D₅	—	8	1	no	—
1056	C₄×D₅	—	8	1	no	—
1057	C₄×D₅	C₂×#41	1	2	yes	—
1058	C₄×D₅	H(5,𝔽₂)	1	2	yes	—
1059	Dic₁₀	—	2	2	no	—
1060	Dic₁₀	—	2	1	no	—
1061	Dic₁₀	—	2	1	no	—
1062	Dic₁₀	—	2	1	no	—
1063	Dic₁₀	—	2	1	no	—
1064	Dic₁₀	—	8	1	no	—
1065	C₅×C₈	—	2	1	no	—
1066	C₅×C₈	—	2	1	no	—
1067	C₅×C₈	—	2	1	no	—
1068	C₅×C₈	—	2	1	no	—
1069	#168	—	2	1	no	—
1070	#168	—	2	1	no	—
1071	#168	—	2	1	no	—
1072	#168	—	2	1	no	—
1073	C₂⁵	—	10	1	no	—
1074	H(5,𝔽₂)	—	10	4	no	—
1075	H(5,𝔽₂)	—	20	2	no	—
1076	C₂×#41	—	5	1	no	—
1077	C₂×#41	—	5	1	no	—
1078	C₂×#41	—	5	1	no	—
1079	C₂×#41	—	5	1	no	—
1080	C₂×#41	—	5	1	no	—
1081	C₂×#41	—	10	1	no	—
1082	C₂²×D₄	—	2	1	no	—
1083	C₂²×D₄	—	5	1	no	—
1084	C₂²×D₄	—	5	1	no	—
1085	C₂²×D₄	—	5	1	no	—
1086	C₂²×D₄	—	5	1	no	—
1087	C₂²×D₄	—	5	1	no	—
1088	C₂²×D₄	—	5	1	no	—
1089	C₂²×D₄	—	10	1	no	—
1090	C₂²×D₄	—	10	1	no	—
1091	C₂²×D₄	—	10	1	no	—
1092	C₂²×D₄	—	10	4	no	—
1093	C₂²×D₄	—	10	1	no	—
1094	C₂²×D₄	—	10	1	no	—
1095	C₂²×D₄	—	10	1	no	—
1096	C₂²×D₄	—	10	1	no	—
1097	C₂²×D₄	—	10	1	no	—
1098	C₂²×D₄	—	10	1	no	—
1099	C₂²×D₄	—	20	2	no	—
1100	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
1101	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
1102	C₂³×C₄	—	5	1	no	—
1103	AGL(1,ℤ/8)	—	10	4	no	—
1104	AGL(1,ℤ/8)	—	20	2	no	—
1105	#135	—	20	2	no	—
1106	C₂×Q₁₆	—	5	1	no	—
1107	C₂×SD₁₆	—	5	1	no	—
1108	C₂×SD₁₆	—	5	1	no	—
1109	C₂×SD₁₆	—	5	1	no	—
1110	C₂×SD₁₆	—	5	1	no	—
1111	C₂×SD₁₆	—	5	1	no	—
1112	C₂×SD₁₆	—	5	1	no	—
1113	C₂×D₈	—	5	1	no	—
1114	C₂×D₈	—	5	1	no	—
1115	C₂×D₈	C₂²×D₅	1	1	yes	characteristic
1116	C₂×D₈	C₂²×D₅	1	1	yes	characteristic
1117	C₂×D₈	C₂²×D₅	1	1	yes	characteristic, complemented
1118	#131	—	20	2	no	—
1119	C₂×M₁₆	—	5	1	no	—
1120	C₂×M₁₆	—	5	1	no	—
1121	C₂×M₁₆	—	5	1	no	—
1122	C₂×M₁₆	—	5	1	no	—
1123	C₂×M₁₆	—	5	1	no	—
1124	C₂×M₁₆	—	5	1	no	—
1125	C₂×M₁₆	—	20	2	no	—
1126	C₂×M₁₆	C₂²×D₅	1	1	yes	characteristic
1127	C₂×M₁₆	C₂²×D₅	1	1	yes	characteristic, complemented
1128	C₂²×C₈	—	5	1	no	—
1129	C₂²×C₈	—	5	1	no	—
1130	C₂²×C₈	—	5	1	no	—
1131	C₂²×C₈	—	5	1	no	—
1132	C₄⋊Q₈	—	5	1	no	—
1133	C₄⋊Q₈	—	10	1	no	—
1134	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic, complemented
1135	#127	—	5	1	no	—
1136	#127	—	10	1	no	—
1137	#127	C₂²×D₅	1	1	yes	characteristic
1138	#126	—	10	1	no	—
1139	#126	—	10	1	no	—
1140	#126	—	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	#125	—	5	1	no	—
1147	#125	—	5	1	no	—
1148	#125	—	10	1	no	—
1149	#125	—	10	1	no	—
1150	#125	—	10	1	no	—
1151	#124	—	2	1	no	—
1152	#124	—	2	1	no	—
1153	#124	—	5	1	no	—
1154	#124	—	5	1	no	—
1155	#124	—	10	1	no	—
1156	#124	—	10	1	no	—
1157	#124	—	10	1	no	—
1158	#124	—	10	1	no	—
1159	#124	—	10	1	no	—
1160	#123	—	5	1	no	—
1161	#123	—	5	1	no	—
1162	#123	—	10	1	no	—
1163	#123	—	10	1	no	—
1164	#123	—	10	1	no	—
1165	#123	—	10	1	no	—
1166	#123	—	10	1	no	—
1167	#123	—	10	1	no	—
1168	#123	—	10	1	no	—
1169	#123	—	10	1	no	—
1170	#123	—	10	1	no	—
1171	#123	—	10	1	no	—
1172	C₂²⋊Q₈	—	5	1	no	—
1173	C₂²⋊Q₈	—	5	1	no	—
1174	C₂²⋊Q₈	—	5	1	no	—
1175	C₂²⋊Q₈	—	5	1	no	—
1176	C₂²⋊Q₈	—	5	1	no	—
1177	C₂²⋊Q₈	—	5	1	no	—
1178	C₂²⋊Q₈	—	5	1	no	—
1179	C₂²⋊Q₈	—	5	1	no	—
1180	C₂²⋊Q₈	—	10	1	no	—
1181	C₂²⋊Q₈	—	10	1	no	—
1182	C₂²⋊Q₈	—	10	1	no	—
1183	#121	—	2	1	no	—
1184	#121	—	2	1	no	—
1185	#121	—	5	1	no	—
1186	#121	—	5	1	no	—
1187	#121	—	5	1	no	—
1188	#121	—	5	1	no	—
1189	#121	—	5	1	no	—
1190	#121	—	5	1	no	—
1191	#121	—	5	1	no	—
1192	#121	—	5	1	no	—
1193	#121	—	10	1	no	—
1194	#121	—	10	1	no	—
1195	#121	—	10	1	no	—
1196	#121	—	10	1	no	—
1197	#121	—	10	1	no	—
1198	#121	—	10	1	no	—
1199	#121	—	10	1	no	—
1200	#121	—	10	1	no	—
1201	#121	—	10	1	no	—
1202	#121	—	10	1	no	—
1203	#121	—	10	1	no	—
1204	#121	—	10	1	no	—
1205	#121	—	10	1	no	—
1206	#121	—	10	1	no	—
1207	#121	—	10	1	no	—
1208	#121	C₂²×D₅	1	1	yes	characteristic
1209	#121	C₂²×D₅	1	1	yes	characteristic
1210	#121	C₂²×D₅	1	1	yes	characteristic
1211	#121	C₂²×D₅	1	1	yes	characteristic, complemented
1212	#120	—	2	1	no	—
1213	#120	—	2	1	no	—
1214	#120	—	5	1	no	—
1215	#120	—	5	1	no	—
1216	#120	—	10	1	no	—
1217	#120	—	10	1	no	—
1218	#120	—	10	1	no	—
1219	#120	—	10	1	no	—
1220	#120	—	10	1	no	—
1221	#120	—	10	1	no	—
1222	#120	—	10	1	no	—
1223	#120	—	10	1	no	—
1224	#120	—	10	1	no	—
1225	#120	—	10	1	no	—
1226	#120	—	10	1	no	—
1227	#120	—	10	1	no	—
1228	#120	—	10	1	no	—
1229	#120	—	10	1	no	—
1230	#120	—	10	1	no	—
1231	#120	—	10	1	no	—
1232	C₄×Q₈	—	5	1	no	—
1233	C₄×Q₈	—	5	1	no	—
1234	C₄×Q₈	—	10	1	no	—
1235	C₄×Q₈	—	10	1	no	—
1236	C₄×Q₈	—	10	1	no	—
1237	C₄×D₄	—	5	1	no	—
1238	C₄×D₄	—	5	1	no	—
1239	C₄×D₄	—	5	1	no	—
1240	C₄×D₄	—	5	1	no	—
1241	C₄×D₄	—	5	1	no	—
1242	C₄×D₄	—	5	1	no	—
1243	C₄×D₄	—	5	1	no	—
1244	C₄×D₄	—	10	1	no	—
1245	C₄×D₄	—	10	1	no	—
1246	C₄×D₄	—	10	1	no	—
1247	C₄×D₄	—	10	1	no	—
1248	C₄×D₄	—	10	1	no	—
1249	C₄×D₄	—	10	1	no	—
1250	C₄×D₄	—	10	1	no	—
1251	C₄×D₄	—	10	1	no	—
1252	C₄×D₄	—	10	1	no	—
1253	C₄×D₄	—	10	1	no	—
1254	C₄×D₄	—	10	1	no	—
1255	C₄×D₄	—	10	1	no	—
1256	C₄×D₄	—	10	1	no	—
1257	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1258	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1259	C₄×D₄	C₂²×D₅	1	1	yes	characteristic, complemented
1260	#117	—	2	1	no	—
1261	#117	—	5	1	no	—
1262	#117	—	5	1	no	—
1263	#117	—	5	1	no	—
1264	#117	—	5	1	no	—
1265	#117	—	5	1	no	—
1266	#117	—	5	1	no	—
1267	#117	—	5	1	no	—
1268	#117	—	10	1	no	—
1269	#117	—	10	1	no	—
1270	#117	—	10	1	no	—
1271	#117	—	10	1	no	—
1272	#117	—	10	1	no	—
1273	#117	—	10	1	no	—
1274	#117	C₂²×D₅	1	1	yes	characteristic
1275	#117	C₂²×D₅	1	1	yes	characteristic, complemented
1276	C₂×C₄⋊C₄	—	5	1	no	—
1277	C₂×C₄⋊C₄	—	5	1	no	—
1278	C₂×C₄⋊C₄	—	5	1	no	—
1279	C₂×C₄⋊C₄	—	5	1	no	—
1280	C₂×C₄⋊C₄	—	10	1	no	—
1281	C₂×C₂²⋊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	C₂×C₂²⋊C₄	—	10	1	no	—
1288	C₂×C₄²	—	10	1	no	—
1289	#107	—	5	1	no	—
1290	#107	—	5	1	no	—
1291	#107	—	5	1	no	—
1292	#107	—	5	1	no	—
1293	#107	—	5	1	no	—
1294	#107	C₂²×D₅	1	1	yes	characteristic, complemented
1295	#106	—	5	1	no	—
1296	#106	—	5	1	no	—
1297	#106	—	5	1	no	—
1298	#106	—	5	1	no	—
1299	#106	C₂²×D₅	1	1	yes	characteristic, complemented
1300	#106	C₂²×D₅	1	1	yes	characteristic, complemented
1301	C₄⋊C₈	—	5	1	no	—
1302	C₄⋊C₈	—	5	1	no	—
1303	C₄⋊C₈	—	5	1	no	—
1304	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic, complemented
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	#102	—	5	1	no	—
1314	#102	—	5	1	no	—
1315	#102	—	5	1	no	—
1316	#102	—	5	1	no	—
1317	#102	—	5	1	no	—
1318	#102	—	5	1	no	—
1319	#102	—	5	1	no	—
1320	#102	—	5	1	no	—
1321	#102	—	5	1	no	—
1322	#102	—	5	1	no	—
1323	#102	—	5	1	no	—
1324	#102	—	5	1	no	—
1325	#102	—	5	1	no	—
1326	#102	—	5	1	no	—
1327	#102	—	5	1	no	—
1328	#102	—	5	1	no	—
1329	#102	—	5	1	no	—
1330	#102	—	5	1	no	—
1331	#102	—	5	1	no	—
1332	#102	—	5	1	no	—
1333	#102	—	5	1	no	—
1334	#102	—	5	1	no	—
1335	#102	C₂²×D₅	1	1	yes	characteristic
1336	#102	C₂²×D₅	1	1	yes	characteristic
1337	#102	C₂²×D₅	1	1	yes	characteristic
1338	#102	C₂²×D₅	1	1	yes	characteristic
1339	#102	C₂²×D₅	1	1	yes	characteristic
1340	#102	C₂²×D₅	1	1	yes	characteristic
1341	#102	C₂²×D₅	1	1	yes	characteristic, complemented
1342	#102	C₂²×D₅	1	1	yes	characteristic, complemented
1343	#102	C₂²×D₅	1	1	yes	characteristic, complemented
1344	#102	C₂²×D₅	1	1	yes	characteristic, complemented
1345	C₂²⋊C₈	—	5	1	no	—
1346	C₂²⋊C₈	—	5	1	no	—
1347	C₂²⋊C₈	—	5	1	no	—
1348	C₂²⋊C₈	—	5	1	no	—
1349	C₂²⋊C₈	—	5	1	no	—
1350	C₂²⋊C₈	—	5	1	no	—
1351	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1352	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic, complemented
1353	#97	—	5	1	no	—
1354	#97	—	5	1	no	—
1355	C₄×C₈	—	5	1	no	—
1356	C₄×C₈	C₂²×D₅	1	1	yes	characteristic, complemented
1357	C₂²×C₅	—	2	1	no	—
1358	C₂²×C₅	—	2	1	no	—
1359	C₂²×C₅	—	2	1	no	—
1360	C₂²×C₅	—	2	1	no	—
1361	C₂²×C₅	—	2	1	no	—
1362	C₂²×C₅	—	2	2	no	—
1363	C₂²×C₅	—	2	1	no	—
1364	C₂²×C₅	—	4	1	no	—
1365	C₂²×C₅	—	4	1	no	—
1366	C₂²×C₅	—	4	1	no	—
1367	C₂²×C₅	—	4	1	no	—
1368	C₂²×C₅	—	4	1	no	—
1369	C₂²×C₅	—	4	1	no	—
1370	C₂²×C₅	—	4	1	no	—
1371	C₂²×C₅	—	4	1	no	—
1372	C₂²×C₅	—	4	1	no	—
1373	C₂²×C₅	—	4	1	no	—
1374	C₂²×C₅	—	4	1	no	—
1375	C₂²×C₅	—	8	4	no	—
1376	C₂²×C₅	—	16	2	no	—
1377	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1378	C₂×D₅	—	2	1	no	—
1379	C₂×D₅	—	2	1	no	—
1380	C₂×D₅	—	2	1	no	—
1381	C₂×D₅	—	2	1	no	—
1382	C₂×D₅	—	2	1	no	—
1383	C₂×D₅	—	2	1	no	—
1384	C₂×D₅	—	2	1	no	—
1385	C₂×D₅	—	2	1	no	—
1386	C₂×D₅	—	2	2	no	—
1387	C₂×D₅	—	4	4	no	—
1388	C₂×D₅	—	4	1	no	—
1389	C₂×D₅	—	4	1	no	—
1390	C₂×D₅	—	4	1	no	—
1391	C₂×D₅	—	4	1	no	—
1392	C₂×D₅	—	4	1	no	—
1393	C₂×D₅	—	8	4	no	—
1394	C₂×D₅	—	8	4	no	—
1395	C₂×D₅	—	8	4	no	—
1396	C₂×D₅	—	8	4	no	—
1397	C₂×D₅	—	8	4	no	—
1398	C₂×D₅	—	16	2	no	—
1399	C₂×D₅	#546	1	2	yes	—
1400	C₄×C₅	—	2	1	no	—
1401	C₄×C₅	—	2	1	no	—
1402	C₄×C₅	—	2	1	no	—
1403	C₄×C₅	—	2	1	no	—
1404	C₄×C₅	—	4	1	no	—
1405	C₄×C₅	—	4	1	no	—
1406	C₄×C₅	—	4	1	no	—
1407	C₄×C₅	—	4	1	no	—
1408	C₄×C₅	C₂²×#41	1	1	yes	characteristic
1409	C₄×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1410	Dic₅	—	2	1	no	—
1411	Dic₅	—	2	1	no	—
1412	Dic₅	—	2	1	no	—
1413	Dic₅	—	2	1	no	—
1414	Dic₅	—	4	1	no	—
1415	Dic₅	—	4	1	no	—
1416	Dic₅	—	4	1	no	—
1417	Dic₅	—	4	1	no	—
1418	Dic₅	—	4	1	no	—
1419	Dic₅	—	4	1	no	—
1420	Dic₅	#546	1	2	yes	—
1421	C₂⁴	—	2	1	no	—
1422	C₂⁴	—	2	1	no	—
1423	C₂⁴	—	5	1	no	—
1424	C₂⁴	—	10	1	no	—
1425	C₂⁴	—	10	1	no	—
1426	C₂⁴	—	10	1	no	—
1427	C₂⁴	—	10	1	no	—
1428	C₂⁴	—	10	1	no	—
1429	C₂⁴	—	10	1	no	—
1430	C₂⁴	—	20	4	no	—
1431	C₂⁴	—	40	2	no	—
1432	C₂⁴	—	40	2	no	—
1433	#41	—	10	2	no	—
1434	#41	—	10	2	no	—
1435	#41	—	10	2	no	—
1436	#41	—	10	2	no	—
1437	#41	—	10	2	no	—
1438	#41	—	10	2	no	—
1439	#41	—	10	2	no	—
1440	#41	—	10	2	no	—
1441	#41	—	20	1	no	—
1442	#41	—	20	1	no	—
1443	#41	—	20	4	no	—
1444	C₂×Q₈	—	2	1	no	—
1445	C₂×Q₈	—	5	1	no	—
1446	C₂×Q₈	—	5	1	no	—
1447	C₂×Q₈	—	5	1	no	—
1448	C₂×Q₈	—	10	1	no	—
1449	C₂×D₄	—	2	2	no	—
1450	C₂×D₄	—	2	2	no	—
1451	C₂×D₄	—	2	1	no	—
1452	C₂×D₄	—	2	1	no	—
1453	C₂×D₄	—	2	1	no	—
1454	C₂×D₄	—	2	1	no	—
1455	C₂×D₄	—	2	1	no	—
1456	C₂×D₄	—	2	1	no	—
1457	C₂×D₄	—	2	1	no	—
1458	C₂×D₄	—	2	1	no	—
1459	C₂×D₄	—	4	1	no	—
1460	C₂×D₄	—	4	1	no	—
1461	C₂×D₄	—	5	4	no	—
1462	C₂×D₄	—	5	1	no	—
1463	C₂×D₄	—	5	1	no	—
1464	C₂×D₄	—	5	1	no	—
1465	C₂×D₄	—	5	1	no	—
1466	C₂×D₄	—	5	1	no	—
1467	C₂×D₄	—	5	1	no	—
1468	C₂×D₄	—	5	1	no	—
1469	C₂×D₄	—	5	1	no	—
1470	C₂×D₄	—	8	2	no	—
1471	C₂×D₄	—	10	2	no	—
1472	C₂×D₄	—	10	1	no	—
1473	C₂×D₄	—	10	2	no	—
1474	C₂×D₄	—	10	2	no	—
1475	C₂×D₄	—	10	2	no	—
1476	C₂×D₄	—	10	1	no	—
1477	C₂×D₄	—	10	1	no	—
1478	C₂×D₄	—	10	1	no	—
1479	C₂×D₄	—	10	1	no	—
1480	C₂×D₄	—	10	1	no	—
1481	C₂×D₄	—	10	1	no	—
1482	C₂×D₄	—	10	1	no	—
1483	C₂×D₄	—	10	2	no	—
1484	C₂×D₄	—	10	2	no	—
1485	C₂×D₄	—	10	2	no	—
1486	C₂×D₄	—	10	1	no	—
1487	C₂×D₄	—	10	1	no	—
1488	C₂×D₄	—	10	1	no	—
1489	C₂×D₄	—	10	1	no	—
1490	C₂×D₄	—	10	1	no	—
1491	C₂×D₄	—	10	1	no	—
1492	C₂×D₄	—	10	1	no	—
1493	C₂×D₄	—	10	1	no	—
1494	C₂×D₄	—	10	1	no	—
1495	C₂×D₄	—	10	1	no	—
1496	C₂×D₄	—	20	1	no	—
1497	C₂×D₄	—	20	1	no	—
1498	C₂×D₄	—	20	1	no	—
1499	C₂×D₄	—	20	1	no	—
1500	C₂×D₄	—	20	4	no	—
1501	C₂×D₄	—	20	4	no	—
1502	C₂×D₄	—	20	4	no	—
1503	C₂×D₄	—	20	4	no	—
1504	C₂×D₄	—	20	4	no	—
1505	C₂×D₄	—	20	4	no	—
1506	C₂×D₄	—	40	2	no	—
1507	C₂×D₄	—	40	2	no	—
1508	C₂×D₄	—	40	2	no	—
1509	C₂×D₄	D₄×D₅	1	1	yes	characteristic
1510	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1511	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1512	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1513	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1514	C₂²×C₄	—	2	1	no	—
1515	C₂²×C₄	—	2	1	no	—
1516	C₂²×C₄	—	5	1	no	—
1517	C₂²×C₄	—	5	1	no	—
1518	C₂²×C₄	—	5	1	no	—
1519	C₂²×C₄	—	5	1	no	—
1520	C₂²×C₄	—	5	1	no	—
1521	C₂²×C₄	—	5	1	no	—
1522	C₂²×C₄	—	10	2	no	—
1523	C₂²×C₄	—	10	2	no	—
1524	C₂²×C₄	—	10	1	no	—
1525	C₂²×C₄	—	10	1	no	—
1526	C₂²×C₄	—	10	1	no	—
1527	C₂²×C₄	—	10	1	no	—
1528	C₂²×C₄	—	10	1	no	—
1529	C₂²×C₄	—	10	1	no	—
1530	C₂²×C₄	—	10	1	no	—
1531	C₂²×C₄	—	10	1	no	—
1532	C₂²×C₄	—	10	1	no	—
1533	C₂²×C₄	—	10	1	no	—
1534	C₂²×C₄	—	10	1	no	—
1535	C₂²×C₄	—	10	1	no	—
1536	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1537	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1538	Q₁₆	—	20	1	no	—
1539	SD₁₆	—	10	2	no	—
1540	SD₁₆	—	10	2	no	—
1541	SD₁₆	—	20	1	no	—
1542	SD₁₆	—	20	1	no	—
1543	SD₁₆	—	20	1	no	—
1544	SD₁₆	—	20	1	no	—
1545	D₈	—	2	2	no	—
1546	D₈	—	4	1	no	—
1547	D₈	—	4	1	no	—
1548	D₈	—	10	2	no	—
1549	D₈	—	20	1	no	—
1550	M₁₆	—	4	1	no	—
1551	M₁₆	—	4	1	no	—
1552	M₁₆	—	10	2	no	—
1553	M₁₆	—	10	2	no	—
1554	M₁₆	—	20	1	no	—
1555	M₁₆	—	20	1	no	—
1556	M₁₆	—	20	1	no	—
1557	M₁₆	—	20	1	no	—
1558	C₂×C₈	—	5	1	no	—
1559	C₂×C₈	—	5	1	no	—
1560	C₂×C₈	—	5	1	no	—
1561	C₂×C₈	—	5	1	no	—
1562	C₂×C₈	—	10	2	no	—
1563	C₂×C₈	—	10	2	no	—
1564	C₂×C₈	—	20	1	no	—
1565	C₂×C₈	—	20	1	no	—
1566	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1567	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1568	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1569	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1570	C₄⋊C₄	—	2	1	no	—
1571	C₄⋊C₄	—	5	1	no	—
1572	C₄⋊C₄	—	5	1	no	—
1573	C₄⋊C₄	—	5	1	no	—
1574	C₄⋊C₄	—	5	1	no	—
1575	C₄⋊C₄	—	5	1	no	—
1576	C₄⋊C₄	—	5	1	no	—
1577	C₄⋊C₄	—	5	1	no	—
1578	C₄⋊C₄	—	5	1	no	—
1579	C₄⋊C₄	—	5	1	no	—
1580	C₄⋊C₄	—	10	1	no	—
1581	C₄⋊C₄	—	10	1	no	—
1582	C₄⋊C₄	—	10	1	no	—
1583	C₄⋊C₄	—	10	1	no	—
1584	C₄⋊C₄	—	10	1	no	—
1585	C₄⋊C₄	—	10	1	no	—
1586	C₄⋊C₄	—	10	1	no	—
1587	C₄⋊C₄	—	10	1	no	—
1588	C₄⋊C₄	—	10	1	no	—
1589	C₄⋊C₄	—	10	1	no	—
1590	C₄⋊C₄	—	10	1	no	—
1591	C₄⋊C₄	—	10	1	no	—
1592	C₄⋊C₄	—	10	1	no	—
1593	C₄⋊C₄	—	10	1	no	—
1594	C₄⋊C₄	—	10	1	no	—
1595	C₄⋊C₄	—	10	1	no	—
1596	C₄⋊C₄	—	10	1	no	—
1597	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1598	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1599	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1600	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1601	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1602	C₂²⋊C₄	—	2	1	no	—
1603	C₂²⋊C₄	—	2	1	no	—
1604	C₂²⋊C₄	—	2	1	no	—
1605	C₂²⋊C₄	—	2	1	no	—
1606	C₂²⋊C₄	—	2	1	no	—
1607	C₂²⋊C₄	—	2	1	no	—
1608	C₂²⋊C₄	—	2	1	no	—
1609	C₂²⋊C₄	—	2	1	no	—
1610	C₂²⋊C₄	—	5	1	no	—
1611	C₂²⋊C₄	—	5	1	no	—
1612	C₂²⋊C₄	—	5	1	no	—
1613	C₂²⋊C₄	—	5	1	no	—
1614	C₂²⋊C₄	—	5	1	no	—
1615	C₂²⋊C₄	—	5	1	no	—
1616	C₂²⋊C₄	—	5	1	no	—
1617	C₂²⋊C₄	—	5	1	no	—
1618	C₂²⋊C₄	—	10	1	no	—
1619	C₂²⋊C₄	—	10	1	no	—
1620	C₂²⋊C₄	—	10	1	no	—
1621	C₂²⋊C₄	—	10	1	no	—
1622	C₂²⋊C₄	—	10	1	no	—
1623	C₂²⋊C₄	—	10	1	no	—
1624	C₂²⋊C₄	—	10	1	no	—
1625	C₂²⋊C₄	—	10	1	no	—
1626	C₂²⋊C₄	—	10	1	no	—
1627	C₂²⋊C₄	—	10	1	no	—
1628	C₂²⋊C₄	—	10	1	no	—
1629	C₂²⋊C₄	—	10	1	no	—
1630	C₂²⋊C₄	—	10	1	no	—
1631	C₂²⋊C₄	—	10	1	no	—
1632	C₂²⋊C₄	—	10	1	no	—
1633	C₂²⋊C₄	—	10	1	no	—
1634	C₂²⋊C₄	—	10	1	no	—
1635	C₂²⋊C₄	—	10	1	no	—
1636	C₂²⋊C₄	—	10	1	no	—
1637	C₂²⋊C₄	—	10	1	no	—
1638	C₂²⋊C₄	—	10	1	no	—
1639	C₂²⋊C₄	—	10	1	no	—
1640	C₂²⋊C₄	—	10	1	no	—
1641	C₂²⋊C₄	—	10	1	no	—
1642	C₂²⋊C₄	—	10	1	no	—
1643	C₂²⋊C₄	—	10	1	no	—
1644	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1645	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1646	C₄²	—	2	1	no	—
1647	C₄²	—	2	1	no	—
1648	C₄²	—	5	1	no	—
1649	C₄²	—	10	1	no	—
1650	C₄²	—	10	1	no	—
1651	C₄²	—	10	1	no	—
1652	C₄²	—	10	1	no	—
1653	C₄²	—	10	1	no	—
1654	C₄²	—	10	1	no	—
1655	C₄²	—	10	1	no	—
1656	C₄²	—	10	1	no	—
1657	C₄²	C₂³×D₅	1	1	yes	characteristic
1658	C₂×C₅	—	4	1	no	—
1659	C₂×C₅	—	4	2	no	—
1660	C₂×C₅	—	4	1	no	—
1661	C₂×C₅	—	8	1	no	—
1662	C₂×C₅	—	8	1	no	—
1663	C₂×C₅	—	8	1	no	—
1664	C₂×C₅	C₂×#546	1	1	yes	characteristic
1665	C₂×C₅	#3585	1	1	yes	characteristic
1666	C₂×C₅	#3585	1	1	yes	characteristic
1667	D₅	—	2	2	no	—
1668	D₅	—	4	1	no	—
1669	D₅	—	4	1	no	—
1670	D₅	—	4	2	no	—
1671	D₅	—	8	1	no	—
1672	C₂³	—	2	1	no	—
1673	C₂³	—	2	1	no	—
1674	C₂³	—	2	1	no	—
1675	C₂³	—	2	1	no	—
1676	C₂³	—	4	2	no	—
1677	C₂³	—	4	2	no	—
1678	C₂³	—	4	2	no	—
1679	C₂³	—	5	1	no	—
1680	C₂³	—	5	1	no	—
1681	C₂³	—	5	1	no	—
1682	C₂³	—	8	1	no	—
1683	C₂³	—	8	1	no	—
1684	C₂³	—	8	1	no	—
1685	C₂³	—	10	2	no	—
1686	C₂³	—	10	4	no	—
1687	C₂³	—	10	1	no	—
1688	C₂³	—	10	1	no	—
1689	C₂³	—	20	1	no	—
1690	C₂³	—	20	1	no	—
1691	C₂³	—	20	2	no	—
1692	C₂³	—	20	2	no	—
1693	C₂³	—	20	2	no	—
1694	C₂³	—	20	2	no	—
1695	C₂³	—	20	2	no	—
1696	C₂³	—	20	2	no	—
1697	C₂³	—	20	2	no	—
1698	C₂³	—	20	2	no	—
1699	C₂³	—	40	1	no	—
1700	C₂³	—	40	1	no	—
1701	C₂³	—	40	1	no	—
1702	C₂³	—	40	1	no	—
1703	C₂³	—	40	1	no	—
1704	C₂³	—	40	1	no	—
1705	C₂³	—	40	1	no	—
1706	C₂³	—	40	1	no	—
1707	C₂³	—	40	1	no	—
1708	C₂³	—	40	16	no	—
1709	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1710	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1711	Q₈	—	8	1	no	—
1712	Q₈	—	10	2	no	—
1713	Q₈	—	10	1	no	—
1714	Q₈	—	10	1	no	—
1715	Q₈	—	10	1	no	—
1716	Q₈	—	10	1	no	—
1717	Q₈	—	40	1	no	—
1718	D₄	—	2	1	no	—
1719	D₄	—	2	1	no	—
1720	D₄	—	2	1	no	—
1721	D₄	—	2	1	no	—
1722	D₄	—	2	1	no	—
1723	D₄	—	2	1	no	—
1724	D₄	—	2	1	no	—
1725	D₄	—	4	1	no	—
1726	D₄	—	4	2	no	—
1727	D₄	—	4	2	no	—
1728	D₄	—	4	2	no	—
1729	D₄	—	5	2	no	—
1730	D₄	—	8	1	no	—
1731	D₄	—	8	1	no	—
1732	D₄	—	8	1	no	—
1733	D₄	—	8	1	no	—
1734	D₄	—	8	1	no	—
1735	D₄	—	10	2	no	—
1736	D₄	—	10	4	no	—
1737	D₄	—	10	2	no	—
1738	D₄	—	10	2	no	—
1739	D₄	—	10	1	no	—
1740	D₄	—	10	1	no	—
1741	D₄	—	10	1	no	—
1742	D₄	—	20	1	no	—
1743	D₄	—	20	2	no	—
1744	D₄	—	20	2	no	—
1745	D₄	—	20	1	no	—
1746	D₄	—	20	1	no	—
1747	D₄	—	20	2	no	—
1748	D₄	—	20	2	no	—
1749	D₄	—	20	2	no	—
1750	D₄	—	20	2	no	—
1751	D₄	—	20	2	no	—
1752	D₄	—	20	2	no	—
1753	D₄	—	20	2	no	—
1754	D₄	—	20	2	no	—
1755	D₄	—	40	1	no	—
1756	D₄	—	40	1	no	—
1757	D₄	—	40	1	no	—
1758	D₄	—	40	1	no	—
1759	D₄	—	40	1	no	—
1760	D₄	—	40	1	no	—
1761	D₄	—	40	1	no	—
1762	D₄	D₅×#41	1	2	yes	—
1763	C₂×C₄	—	2	1	no	—
1764	C₂×C₄	—	2	1	no	—
1765	C₂×C₄	—	2	1	no	—
1766	C₂×C₄	—	2	1	no	—
1767	C₂×C₄	—	2	1	no	—
1768	C₂×C₄	—	2	1	no	—
1769	C₂×C₄	—	2	1	no	—
1770	C₂×C₄	—	2	1	no	—
1771	C₂×C₄	—	5	1	no	—
1772	C₂×C₄	—	5	2	no	—
1773	C₂×C₄	—	5	2	no	—
1774	C₂×C₄	—	5	1	no	—
1775	C₂×C₄	—	5	1	no	—
1776	C₂×C₄	—	5	1	no	—
1777	C₂×C₄	—	5	1	no	—
1778	C₂×C₄	—	8	1	no	—
1779	C₂×C₄	—	8	1	no	—
1780	C₂×C₄	—	10	2	no	—
1781	C₂×C₄	—	10	2	no	—
1782	C₂×C₄	—	10	2	no	—
1783	C₂×C₄	—	10	1	no	—
1784	C₂×C₄	—	10	1	no	—
1785	C₂×C₄	—	10	1	no	—
1786	C₂×C₄	—	10	1	no	—
1787	C₂×C₄	—	10	1	no	—
1788	C₂×C₄	—	10	1	no	—
1789	C₂×C₄	—	10	1	no	—
1790	C₂×C₄	—	10	1	no	—
1791	C₂×C₄	—	10	1	no	—
1792	C₂×C₄	—	10	1	no	—
1793	C₂×C₄	—	20	2	no	—
1794	C₂×C₄	—	20	2	no	—
1795	C₂×C₄	—	20	2	no	—
1796	C₂×C₄	—	20	2	no	—
1797	C₂×C₄	—	40	1	no	—
1798	C₂×C₄	—	40	1	no	—
1799	C₂×C₄	—	40	1	no	—
1800	C₂×C₄	—	40	1	no	—
1801	C₂×C₄	—	40	1	no	—
1802	C₂×C₄	—	40	1	no	—
1803	C₂×C₄	—	40	1	no	—
1804	C₂×C₄	—	40	1	no	—
1805	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1806	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1807	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1808	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1809	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1810	C₈	—	2	1	no	—
1811	C₈	—	2	1	no	—
1812	C₈	—	2	1	no	—
1813	C₈	—	2	1	no	—
1814	C₈	—	10	1	no	—
1815	C₈	—	10	1	no	—
1816	C₈	—	10	1	no	—
1817	C₈	—	10	1	no	—
1818	C₅	#61175	1	1	yes	characteristic, complemented, Sylow
1819	C₂²	—	2	1	no	—
1820	C₂²	—	2	1	no	—
1821	C₂²	—	2	2	no	—
1822	C₂²	—	2	1	no	—
1823	C₂²	—	2	1	no	—
1824	C₂²	—	2	1	no	—
1825	C₂²	—	2	1	no	—
1826	C₂²	—	4	1	no	—
1827	C₂²	—	4	1	no	—
1828	C₂²	—	4	1	no	—
1829	C₂²	—	4	1	no	—
1830	C₂²	—	4	1	no	—
1831	C₂²	—	4	1	no	—
1832	C₂²	—	4	1	no	—
1833	C₂²	—	4	1	no	—
1834	C₂²	—	4	1	no	—
1835	C₂²	—	4	1	no	—
1836	C₂²	—	4	1	no	—
1837	C₂²	—	5	2	no	—
1838	C₂²	—	8	4	no	—
1839	C₂²	—	10	1	no	—
1840	C₂²	—	10	1	no	—
1841	C₂²	—	10	1	no	—
1842	C₂²	—	10	1	no	—
1843	C₂²	—	10	2	no	—
1844	C₂²	—	10	1	no	—
1845	C₂²	—	10	1	no	—
1846	C₂²	—	10	1	no	—
1847	C₂²	—	10	1	no	—
1848	C₂²	—	16	2	no	—
1849	C₂²	—	20	4	no	—
1850	C₂²	—	20	1	no	—
1851	C₂²	—	20	1	no	—
1852	C₂²	—	20	1	no	—
1853	C₂²	—	20	1	no	—
1854	C₂²	—	20	1	no	—
1855	C₂²	—	40	4	no	—
1856	C₂²	—	40	4	no	—
1857	C₂²	—	40	4	no	—
1858	C₂²	—	40	4	no	—
1859	C₂²	—	40	4	no	—
1860	C₂²	—	80	2	no	—
1861	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1862	C₄	—	2	1	no	—
1863	C₄	—	2	1	no	—
1864	C₄	—	2	1	no	—
1865	C₄	—	2	1	no	—
1866	C₄	—	4	1	no	—
1867	C₄	—	4	1	no	—
1868	C₄	—	4	1	no	—
1869	C₄	—	4	1	no	—
1870	C₄	—	5	2	no	—
1871	C₄	—	10	1	no	—
1872	C₄	—	10	1	no	—
1873	C₄	—	10	1	no	—
1874	C₄	—	10	1	no	—
1875	C₄	—	20	1	no	—
1876	C₄	—	20	1	no	—
1877	C₄	—	20	1	no	—
1878	C₄	—	20	1	no	—
1879	C₄	—	20	1	no	—
1880	C₄	—	20	1	no	—
1881	C₄	C₂×D₅×#41	1	1	yes	characteristic
1882	C₄	D₅×H(5,𝔽₂)	1	1	yes	characteristic
1883	C₂	—	4	1	no	—
1884	C₂	—	4	1	no	—
1885	C₂	—	4	2	no	—
1886	C₂	—	8	1	no	—
1887	C₂	—	8	1	no	—
1888	C₂	—	8	1	no	—
1889	C₂	—	10	2	no	—
1890	C₂	—	20	1	no	—
1891	C₂	—	20	1	no	—
1892	C₂	—	20	2	no	—
1893	C₂	—	40	1	no	—
1894	C₂	D₅×#546	1	1	yes	characteristic
1895	C₂	#10619093	1	1	yes	characteristic
1896	C₂	#10619105	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×#3325	C₂
socle	C₂²×C₅	C₂³×D₄
hypercenter	#3325	D₅
hypocenter	C₅	#61175
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #3325

Complements

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

N	H ≅ G/N	type
1. #10618873	C₂	semidirect
2. #10618521	C₂	semidirect
3. C₅×#3325	C₂	semidirect
4. #10615384	C₂	semidirect
5. #10615215	C₂	semidirect
6. #10613311	C₂	semidirect
7. #10613294	C₂	semidirect
8. #10613132	C₂	semidirect
9. #10613114	C₂	semidirect
10. #10613106	C₂	semidirect
11. #10613103	C₂	semidirect
12. #10612809	C₂	semidirect
13. #10612793	C₂	semidirect
14. #10612615	C₂	semidirect
15. #10612609	C₂	semidirect
16. #10612598	C₂	semidirect
17. #10612594	C₂	semidirect
18. #10612086	C₂	semidirect
19. #10612066	C₂	semidirect
20. #10611750	C₂	semidirect
21. #10611748	C₂	semidirect
22. #10611736	C₂	semidirect
23. #10611733	C₂	semidirect
24. #10611342	C₂	semidirect
25. #10611318	C₂	semidirect
26. #10611285	C₂	semidirect
27. #10611268	C₂	semidirect
28. #10610671	C₂	semidirect
29. #10610670	C₂	semidirect
30. #10610656	C₂	semidirect
31. D₅×#418	C₂	semidirect
34. C₅×#555	C₂²	semidirect
40. C₂×#4058	C₂²	semidirect
42. C₂×#4057	C₂²	semidirect
43. C₂×#4053	C₂²	semidirect
44. C₂×D₅×M₁₆	C₂²	semidirect
45. #66066	C₂²	semidirect
46. #66063	C₂²	semidirect
53. #65952	C₂²	semidirect
54. #65950	C₂²	semidirect
59. #65942	C₂²	semidirect
62. #65940	C₂²	semidirect
69. #65892	C₂²	semidirect
73. #65880	C₂²	semidirect
75. #65875	C₂²	semidirect
76. #65867	C₂²	semidirect
78. #65863	C₂²	semidirect
80. #65857	C₂²	semidirect
81. D₅×#117	C₂²	semidirect
82. C₅×#486	C₂²	semidirect
83. C₅×#482	C₂²	semidirect
84. C₅×#482	C₂²	semidirect
85. C₅×#476	C₂²	semidirect
86. C₅×#469	C₂²	semidirect
87. C₅×#469	C₂²	semidirect
88. C₅×#459	C₂²	semidirect
89. C₅×#447	C₂²	semidirect
90. C₅×#447	C₂²	semidirect
91. C₄×C₅×D₈	C₂²	semidirect
92. C₅×#436	C₂²	semidirect
93. C₅×#418	C₂²	semidirect
94. C₅×#418	C₂²	semidirect
95. #65507	C₂²	semidirect
96. #65507	C₂²	semidirect
97. #65504	C₂²	semidirect
98. C₂×#3964	C₂²	semidirect
99. #65448	C₂²	semidirect
100. #65447	C₂²	semidirect
101. #65446	C₂²	semidirect
102. #65445	C₂²	semidirect
103. #65445	C₂²	semidirect
104. #65445	C₂²	semidirect
105. #65442	C₂²	semidirect
106. #65441	C₂²	semidirect
107. #65439	C₂²	semidirect
108. #65426	C₂²	semidirect
109. #65423	C₂²	semidirect
110. #65422	C₂²	semidirect
111. #65420	C₂²	semidirect
112. #65417	C₂²	semidirect
113. #65417	C₂²	semidirect
114. #65378	C₂²	semidirect
115. #65376	C₂²	semidirect
116. #65364	C₂²	semidirect
117. #65360	C₂²	semidirect
118. #65331	C₂²	semidirect
119. #65331	C₂²	semidirect
120. #65330	C₂²	semidirect
121. #65327	C₂²	semidirect
122. #65326	C₂²	semidirect
123. #65325	C₂²	semidirect
124. #65324	C₂²	semidirect
125. #65322	C₂²	semidirect
126. #65307	C₂²	semidirect
127. #65305	C₂²	semidirect
128. #65303	C₂²	semidirect
129. #65300	C₂²	semidirect
130. #65298	C₂²	semidirect
131. #65292	C₂²	semidirect
132. #65291	C₂²	semidirect
133. #65290	C₂²	semidirect
134. #65285	C₂²	semidirect
135. #65178	C₂²	semidirect
136. #65177	C₂²	semidirect
137. #65171	C₂²	semidirect
138. #65170	C₂²	semidirect
139. #65160	C₂²	semidirect
140. #65159	C₂²	semidirect
141. #65157	C₂²	semidirect
142. #65156	C₂²	semidirect
143. #65155	C₂²	semidirect
144. #65153	C₂²	semidirect
145. #65150	C₂²	semidirect
146. #65149	C₂²	semidirect
147. #65136	C₂²	semidirect
148. #65134	C₂²	semidirect
149. #65128	C₂²	semidirect
150. #65125	C₂²	semidirect
151. #65073	C₂²	semidirect
152. #65072	C₂²	semidirect
153. #65071	C₂²	semidirect
154. #65069	C₂²	semidirect
155. #65069	C₂²	semidirect
156. #65069	C₂²	semidirect
157. #65068	C₂²	semidirect
158. #65068	C₂²	semidirect
159. #65066	C₂²	semidirect
160. #65065	C₂²	semidirect
161. #65065	C₂²	semidirect
162. #65065	C₂²	semidirect
163. #65061	C₂²	semidirect
164. #65061	C₂²	semidirect
165. #65061	C₂²	semidirect
166. #65060	C₂²	semidirect
167. #65060	C₂²	semidirect
168. #65060	C₂²	semidirect
170. #65059	C₂²	semidirect
171. #65059	C₂²	semidirect
172. #65059	C₂²	semidirect
173. #65059	C₂²	semidirect
174. #65059	C₂²	semidirect
175. #65059	C₂²	semidirect
178. D₅×#102	C₂²	semidirect
179. D₅×#102	C₂²	semidirect
180. D₅×#102	C₂²	semidirect
181. #65057	C₂²	semidirect
182. #65056	C₂²	semidirect
183. #65054	C₂²	semidirect
184. #65053	C₂²	semidirect
185. #65052	C₂²	semidirect
186. #65051	C₂²	semidirect
187. #65049	C₂²	semidirect
188. #65048	C₂²	semidirect
189. #65047	C₂²	semidirect
190. #65045	C₂²	semidirect
191. #65024	C₂²	semidirect
192. #65022	C₂²	semidirect
193. #65020	C₂²	semidirect
194. #65019	C₂²	semidirect
195. #65017	C₂²	semidirect
196. #65016	C₂²	semidirect
197. #65015	C₂²	semidirect
198. #65012	C₂²	semidirect
199. #64986	C₂²	semidirect
200. C₄×#677	C₂²	semidirect
201. #64978	C₂²	semidirect
202. #64977	C₂²	semidirect
236. C₂×C₅×D₈	C₂³	semidirect
238. C₂×C₅×M₁₆	C₂³	semidirect
239. C₅×C₄⋊Q₈	C₂³	semidirect
248. C₅×#121	C₂³	semidirect
253. C₄×C₅×D₄	C₂³	semidirect
256. C₅×#117	C₂³	semidirect
280. #4084	C₂³	semidirect
301. D₄×Dic₅	C₂³	semidirect
304. C₂×#687	C₂³	semidirect
305. C₂×#687	C₂³	semidirect
319. C₂×C₄⋊Dic₅	C₂³	semidirect
322. #4070	C₂³	semidirect
325. C₂²×#168	C₂³	semidirect
331. C₂×Dic₂₀	C₂³	semidirect
338. C₂×#676	C₂³	semidirect
341. C₂×C₈×D₅	C₂³	semidirect
346. #4043	C₂³	semidirect
357. #4038	C₂³	semidirect
360. D₅×C₄⋊C₄	C₂³	semidirect
361. #4036	C₂³	semidirect
364. #4034	C₂³	semidirect
365. #4033	C₂³	semidirect
416. #4016	C₂³	semidirect
419. C₄×Dic₁₀	C₂³	semidirect
420. C₅×#107	C₂³	semidirect
421. C₅×#106	C₂³	semidirect
422. C₅×#106	C₂³	semidirect
423. C₅×C₄⋊C₈	C₂³	semidirect
430. C₅×#102	C₂³	semidirect
431. C₅×#102	C₂³	semidirect
432. C₅×#102	C₂³	semidirect
433. C₅×#102	C₂³	semidirect
435. C₅×C₂²⋊C₈	C₂³	semidirect
436. C₄×C₅×C₈	C₂³	semidirect
443. #3964	C₂³	semidirect
444. #3964	C₂³	semidirect
445. #3964	C₂³	semidirect
446. #3964	C₂³	semidirect
448. C₂²⋊#168	C₂³	semidirect
457. #3952	C₂³	semidirect
458. #3952	C₂³	semidirect
459. #3950	C₂³	semidirect
460. #3949	C₂³	semidirect
461. #3949	C₂³	semidirect
462. #3948	C₂³	semidirect
463. #3948	C₂³	semidirect
464. #3948	C₂³	semidirect
465. #3948	C₂³	semidirect
466. #3947	C₂³	semidirect
467. #3946	C₂³	semidirect
468. #3946	C₂³	semidirect
469. C₈×Dic₅	C₂³	semidirect
470. #3942	C₂³	semidirect
471. #3942	C₂³	semidirect
472. #3942	C₂³	semidirect
473. #3942	C₂³	semidirect
480. #3940	C₂³	semidirect
481. #3940	C₂³	semidirect
482. #3939	C₂³	semidirect
483. #3939	C₂³	semidirect
484. #3939	C₂³	semidirect
485. #3939	C₂³	semidirect
486. C₄⋊#168	C₂³	semidirect
487. #3935	C₂³	semidirect
491. #3325	D₅	semidirect
768. #555	C₂×D₅	semidirect
813. #486	C₂×D₅	semidirect
824. #482	C₂×D₅	semidirect
825. #482	C₂×D₅	semidirect
835. #476	C₂×D₅	semidirect
842. #469	C₂×D₅	semidirect
843. #469	C₂×D₅	semidirect
861. #459	C₂×D₅	semidirect
876. #447	C₂×D₅	semidirect
877. #447	C₂×D₅	semidirect
885. C₄×D₈	C₂×D₅	semidirect
889. #436	C₂×D₅	semidirect
908. #418	C₂×D₅	semidirect
909. #418	C₂×D₅	semidirect
1117. C₂×D₈	C₂²×D₅	semidirect
1127. C₂×M₁₆	C₂²×D₅	semidirect
1134. C₄⋊Q₈	C₂²×D₅	semidirect
1211. #121	C₂²×D₅	semidirect
1259. C₄×D₄	C₂²×D₅	semidirect
1275. #117	C₂²×D₅	semidirect
1294. #107	C₂²×D₅	semidirect
1299. #106	C₂²×D₅	semidirect
1300. #106	C₂²×D₅	semidirect
1304. C₄⋊C₈	C₂²×D₅	semidirect
1341. #102	C₂²×D₅	semidirect
1342. #102	C₂²×D₅	semidirect
1343. #102	C₂²×D₅	semidirect
1344. #102	C₂²×D₅	semidirect
1352. C₂²⋊C₈	C₂²×D₅	semidirect
1356. C₄×C₈	C₂²×D₅	semidirect
1818. C₅	#61175	semidirect

Maximal subgroups

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

subgroup	index
#10618873	2
#10618521	2
C₅×#3325	2
#10615384	2
#10615215	2
#10613311	2
#10613294	2
#10613132	2
#10613114	2
#10613106	2
#10613103	2
#10612809	2
#10612793	2
#10612615	2
#10612609	2
#10612598	2
#10612594	2
#10612086	2
#10612066	2
#10611750	2
#10611748	2
#10611736	2
#10611733	2
#10611342	2
#10611318	2
#10611285	2
#10611268	2
#10610671	2
#10610670	2
#10610656	2
D₅×#418	2
#61175	5