Subgroups — #12984005

Order 1280.

2282 conjugacy classes of subgroups.

The subgroup lattice has 1942 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10618639	C₂	1	1	yes	maximal, characteristic, complemented
2	D₅×#546	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#3282	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615649	C₂	1	1	yes	maximal, characteristic, complemented
5	#10615642	C₂	1	1	yes	maximal, characteristic, complemented
6	#10615598	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#65458	C₂	1	1	yes	maximal, characteristic, complemented
8	#10615276	C₂	1	1	yes	maximal, characteristic, complemented
9	#10615226	C₂	1	1	yes	maximal, characteristic, complemented
10	#10613562	C₂	1	1	yes	maximal, characteristic, complemented
11	#10613556	C₂	1	1	yes	maximal, characteristic, complemented
12	#10612412	C₂	1	1	yes	maximal, characteristic, complemented
13	#10612402	C₂	1	1	yes	maximal, characteristic, complemented
14	#10612395	C₂	1	1	yes	maximal, characteristic, complemented
15	#10612394	C₂	1	1	yes	maximal, characteristic, complemented
16	#10612346	C₂	1	1	yes	maximal, characteristic, complemented
17	#10612336	C₂	1	1	yes	maximal, characteristic, complemented
18	#10612288	C₂	1	1	yes	maximal, characteristic, complemented
19	#10612236	C₂	1	1	yes	maximal, characteristic, complemented
20	#10611977	C₂	1	1	yes	maximal, characteristic, complemented
21	#10611957	C₂	1	1	yes	maximal, characteristic, complemented
22	#10611938	C₂	1	1	yes	maximal, characteristic, complemented
23	#10611918	C₂	1	1	yes	maximal, characteristic, complemented
24	#10611832	C₂	1	1	yes	maximal, characteristic, complemented
25	#10611820	C₂	1	1	yes	maximal, characteristic, complemented
26	#10611746	C₂	1	1	yes	maximal, characteristic, complemented
27	D₅×#447	C₂	1	1	yes	maximal, characteristic, complemented
28	#10611408	C₂	1	1	yes	maximal, characteristic, complemented
29	#10611385	C₂	1	1	yes	maximal, characteristic, complemented
30	#10611172	C₂	1	1	yes	maximal, characteristic, complemented
31	#10611157	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×D₅×#41	C₂²	1	1	yes	characteristic, complemented
33	C₂²×D₄×D₅	C₂²	1	1	yes	characteristic
34	C₂×C₅×#135	C₂²	1	1	yes	characteristic, complemented
35	C₂²×C₅×SD₁₆	C₂²	1	1	yes	characteristic, complemented
36	C₅×#548	C₂²	1	1	yes	characteristic, complemented
37	C₅×#546	C₂²	1	1	yes	characteristic, complemented
38	#66163	C₂²	1	1	yes	characteristic
39	#66163	C₂²	1	1	yes	characteristic, complemented
40	#66162	C₂²	1	1	yes	characteristic, complemented
41	C₂×#4096	C₂²	1	1	yes	characteristic, complemented
42	#66151	C₂²	1	1	yes	characteristic, complemented
43	C₂×#4092	C₂²	1	1	yes	characteristic
44	C₂²×#688	C₂²	1	1	yes	characteristic, complemented
45	#66140	C₂²	1	1	yes	characteristic, complemented
46	C₂×#4065	C₂²	1	1	yes	characteristic, complemented
47	C₂×#4062	C₂²	1	1	yes	characteristic, complemented
48	C₂×D₅×D₈	C₂²	1	1	yes	characteristic, complemented
49	C₂×D₅×D₈	C₂²	1	1	yes	characteristic, complemented
50	#66014	C₂²	1	1	yes	characteristic, complemented
51	#66013	—	2	1	no	—
52	#66012	—	2	1	no	—
53	#66010	C₂²	1	1	yes	characteristic
54	#66010	C₂²	1	1	yes	characteristic, complemented
55	D₅×#124	C₂²	1	1	yes	characteristic, complemented
56	#65988	—	2	1	no	—
57	D₅×#123	—	2	1	no	—
58	#65973	C₂²	1	1	yes	characteristic, complemented
59	#65972	—	2	1	no	—
60	#65971	—	2	1	no	—
61	#65964	C₂²	1	1	yes	characteristic, complemented
62	#65961	C₂²	1	1	yes	characteristic, complemented
63	D₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
64	#65952	C₂²	1	1	yes	characteristic, complemented
65	#65946	C₂²	1	1	yes	characteristic
66	#65944	—	2	1	no	—
67	#65939	—	2	1	no	—
68	D₅×#121	—	2	1	no	—
69	D₅×#121	C₂²	1	1	yes	characteristic
70	D₅×#121	C₂²	1	1	yes	characteristic, complemented
71	#65935	—	2	1	no	—
72	#65925	—	2	1	no	—
73	D₅×#120	—	2	1	no	—
74	#65915	C₂²	1	1	yes	characteristic, complemented
75	#65914	C₂²	1	1	yes	characteristic, complemented
76	#65899	C₂²	1	1	yes	characteristic, complemented
77	#65888	C₂²	1	1	yes	characteristic
78	#65884	C₂²	1	1	yes	characteristic, complemented
79	#65879	—	2	1	no	—
80	C₄×D₄×D₅	C₂²	1	1	yes	characteristic
81	C₄×D₄×D₅	C₂²	1	1	yes	characteristic, complemented
82	#65874	—	2	1	no	—
83	#65824	—	2	1	no	—
84	C₂×D₅×C₂²⋊C₄	—	2	1	no	—
85	C₅×#495	C₂²	1	1	yes	characteristic, complemented
86	C₅×#465	C₂²	1	1	yes	characteristic, complemented
87	C₅×#465	C₂²	1	1	yes	characteristic, complemented
88	C₅×#464	C₂²	1	1	yes	characteristic, complemented
89	C₅×#463	C₂²	1	1	yes	characteristic, complemented
90	C₅×#452	C₂²	1	1	yes	characteristic, complemented
91	C₅×#451	C₂²	1	1	yes	characteristic, complemented
92	C₅×#449	C₂²	1	1	yes	characteristic, complemented
93	C₅×#447	C₂²	1	1	yes	characteristic, complemented
94	C₄×C₅×SD₁₆	C₂²	1	1	yes	characteristic, complemented
95	C₅×C₈×D₄	C₂²	1	1	yes	characteristic, complemented
96	#65527	C₂²	1	1	yes	characteristic, complemented
97	#65527	C₂²	1	1	yes	characteristic, complemented
98	#65522	C₂²	1	1	yes	characteristic, complemented
99	#65517	C₂²	1	1	yes	characteristic, complemented
100	#65506	C₂²	1	1	yes	characteristic, complemented
101	C₂×#3964	C₂²	1	1	yes	characteristic, complemented
102	#65480	C₂²	1	1	yes	characteristic, complemented
103	#65477	C₂²	1	1	yes	characteristic, complemented
104	#65477	C₂²	1	1	yes	characteristic, complemented
105	#65476	C₂²	1	1	yes	characteristic, complemented
106	#65475	C₂²	1	1	yes	characteristic, complemented
107	#65475	C₂²	1	1	yes	characteristic, complemented
108	#65474	C₂²	1	1	yes	characteristic, complemented
109	#65462	C₂²	1	1	yes	characteristic, complemented
110	#65461	C₂²	1	1	yes	characteristic, complemented
111	#65461	C₂²	1	1	yes	characteristic, complemented
112	#65460	C₂²	1	1	yes	characteristic, complemented
113	#65459	C₂²	1	1	yes	characteristic, complemented
114	#65458	C₂²	1	1	yes	characteristic, complemented
115	#65458	C₂²	1	1	yes	characteristic, complemented
116	#65458	C₂²	1	1	yes	characteristic, complemented
117	#65458	C₂²	1	1	yes	characteristic, complemented
118	#65458	C₂²	1	1	yes	characteristic, complemented
119	#65458	C₂²	1	1	yes	characteristic, complemented
120	#65458	C₂²	1	1	yes	characteristic, complemented
121	#65458	C₂²	1	1	yes	characteristic, complemented
122	#65458	C₂²	1	1	yes	characteristic, complemented
123	#65457	C₂²	1	1	yes	characteristic, complemented
124	#65455	C₂²	1	1	yes	characteristic, complemented
125	#65454	C₂²	1	1	yes	characteristic, complemented
126	#65454	C₂²	1	1	yes	characteristic, complemented
127	SD₁₆×Dic₅	C₂²	1	1	yes	characteristic, complemented
128	#65447	C₂²	1	1	yes	characteristic, complemented
129	#65446	C₂²	1	1	yes	characteristic, complemented
130	#65445	C₂²	1	1	yes	characteristic
131	#65445	C₂²	1	1	yes	characteristic
132	#65442	C₂²	1	1	yes	characteristic, complemented
133	D₈×Dic₅	C₂²	1	1	yes	characteristic, complemented
134	#65404	C₂²	1	1	yes	characteristic, complemented
135	#65403	C₂²	1	1	yes	characteristic, complemented
136	#65402	C₂²	1	1	yes	characteristic, complemented
137	C₂×#3953	C₂²	1	1	yes	characteristic, complemented
138	C₈×C₂²⋊D₅	C₂²	1	1	yes	characteristic, complemented
139	C₈×C₂²⋊D₅	C₂²	1	1	yes	characteristic, complemented
140	C₂×#3952	C₂²	1	1	yes	characteristic
141	C₂×#3952	C₂²	1	1	yes	characteristic, complemented
142	#65348	C₂²	1	1	yes	characteristic, complemented
143	#65346	C₂²	1	1	yes	characteristic, complemented
144	#65346	C₂²	1	1	yes	characteristic, complemented
145	#65345	C₂²	1	1	yes	characteristic, complemented
146	#65337	C₂²	1	1	yes	characteristic, complemented
147	#65337	C₂²	1	1	yes	characteristic, complemented
148	#65336	C₂²	1	1	yes	characteristic, complemented
149	#65333	C₂²	1	1	yes	characteristic, complemented
150	#65330	C₂²	1	1	yes	characteristic, complemented
151	#65327	C₂²	1	1	yes	characteristic, complemented
152	#65325	C₂²	1	1	yes	characteristic, complemented
153	#65324	C₂²	1	1	yes	characteristic, complemented
154	#65317	C₂²	1	1	yes	characteristic, complemented
155	C₄×#688	C₂²	1	1	yes	characteristic, complemented
156	C₄×#686	C₂²	1	1	yes	characteristic, complemented
157	D₄×#168	C₂²	1	1	yes	characteristic, complemented
158	#65298	C₂²	1	1	yes	characteristic, complemented
159	#65160	C₂²	1	1	yes	characteristic, complemented
160	#65155	C₂²	1	1	yes	characteristic, complemented
161	#65152	C₂²	1	1	yes	characteristic, complemented
162	#65151	C₂²	1	1	yes	characteristic, complemented
163	#65136	C₂²	1	1	yes	characteristic, complemented
164	#65133	C₂²	1	1	yes	characteristic, complemented
165	#65123	C₂²	1	1	yes	characteristic, complemented
166	#65122	C₂²	1	1	yes	characteristic, complemented
167	#65108	C₂²	1	1	yes	characteristic, complemented
168	#65102	C₂²	1	1	yes	characteristic, complemented
169	#65102	C₂²	1	1	yes	characteristic, complemented
170	#65100	C₂²	1	1	yes	characteristic, complemented
171	#65098	C₂²	1	1	yes	characteristic, complemented
172	#65098	C₂²	1	1	yes	characteristic, complemented
173	#65096	C₂²	1	1	yes	characteristic, complemented
174	#65095	C₂²	1	1	yes	characteristic, complemented
175	#65094	C₂²	1	1	yes	characteristic, complemented
176	#65093	C₂²	1	1	yes	characteristic, complemented
177	#65089	C₂²	1	1	yes	characteristic, complemented
178	#65077	C₂²	1	1	yes	characteristic, complemented
179	#65073	C₂²	1	1	yes	characteristic, complemented
180	#65066	C₂²	1	1	yes	characteristic, complemented
181	#65065	C₂²	1	1	yes	characteristic, complemented
182	#65064	C₂²	1	1	yes	characteristic, complemented
183	#65062	C₂²	1	1	yes	characteristic
184	#65062	C₂²	1	1	yes	characteristic
185	#65061	C₂²	1	1	yes	characteristic, complemented
186	D₅×#102	C₂²	1	1	yes	characteristic, complemented
187	D₅×#102	C₂²	1	1	yes	characteristic, complemented
188	#65057	C₂²	1	1	yes	characteristic, complemented
189	#65055	C₂²	1	1	yes	characteristic, complemented
190	#65045	C₂²	1	1	yes	characteristic, complemented
191	#65026	C₂²	1	1	yes	characteristic, complemented
192	#65023	C₂²	1	1	yes	characteristic, complemented
193	#65021	C₂²	1	1	yes	characteristic, complemented
194	#65014	C₂²	1	1	yes	characteristic, complemented
195	#65014	C₂²	1	1	yes	characteristic, complemented
196	D₅×C₂²⋊C₈	C₂²	1	1	yes	characteristic
197	D₅×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
198	#65011	C₂²	1	1	yes	characteristic, complemented
199	#64986	C₂²	1	1	yes	characteristic, complemented
200	C₄×D₄₀	C₂²	1	1	yes	characteristic, complemented
201	C₈×D₂₀	C₂²	1	1	yes	characteristic, complemented
202	#64974	C₂²	1	1	yes	characteristic, complemented
203	#61561	—	5	1	no	maximal, Sylow
204	C₂⁴×D₅	—	2	1	no	—
205	C₂×C₅×#41	C₂³	1	1	yes	characteristic
206	C₂×C₅×#41	C₂³	1	1	yes	characteristic, complemented
207	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
208	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
209	C₂²×C₂²⋊D₅	—	2	1	no	—
210	D₅×#41	—	4	2	no	—
211	D₅×#41	—	4	2	no	—
212	C₂×#713	C₂³	1	1	yes	characteristic
213	C₂×#713	C₂³	1	1	yes	characteristic, complemented
214	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
215	C₂×#711	—	2	1	no	—
216	C₂×#711	C₂³	1	1	yes	characteristic
217	C₂×D₄×D₅	—	2	1	no	—
218	C₂×D₄×D₅	—	2	1	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	—	4	2	no	—
223	C₂×D₄×D₅	—	4	2	no	—
224	C₂×D₄×D₅	D₄	1	1	yes	characteristic
225	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
226	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
227	C₂×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	—	2	1	no	—
231	C₂×#709	C₂³	1	1	yes	characteristic
232	C₂²×D₂₀	C₂³	1	1	yes	characteristic
233	C₂²×C₄×D₅	—	2	1	no	—
234	C₂²×C₄×D₅	—	2	1	no	—
235	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
236	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
237	C₅×#135	—	4	2	no	—
238	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic, complemented
239	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic, complemented
240	C₂×C₅×SD₁₆	—	4	2	no	—
241	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
242	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
243	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
244	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
245	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic, complemented
246	C₂×C₅×D₈	C₂³	1	1	yes	characteristic
247	C₂×C₅×D₈	C₂³	1	1	yes	characteristic
248	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
249	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic, complemented
250	C₅×#124	—	2	1	no	—
251	C₅×#124	C₂³	1	1	yes	characteristic
252	C₅×#124	C₂³	1	1	yes	characteristic, complemented
253	C₅×#123	—	2	1	no	—
254	C₅×C₂²⋊Q₈	—	2	1	no	—
255	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
256	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic, complemented
257	C₅×#121	—	2	1	no	—
258	C₅×#121	—	2	1	no	—
259	C₅×#121	C₂³	1	1	yes	characteristic
260	C₅×#121	C₂³	1	1	yes	characteristic
261	C₅×#120	—	2	1	no	—
262	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic, complemented
263	C₄×C₅×D₄	—	2	1	no	—
264	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
265	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
266	C₂×C₅×C₂²⋊C₄	—	2	1	no	—
267	#4099	—	2	1	no	—
268	C₂×C₂²⋊Dic₅	—	2	1	no	—
269	#4096	—	4	2	no	—
270	#4093	—	2	1	no	—
271	#4093	C₂³	1	1	yes	characteristic
272	#4093	C₂³	1	1	yes	characteristic, complemented
273	#4092	—	2	1	no	—
274	#4092	—	2	1	no	—
275	#4092	—	2	1	no	—
276	#4092	C₂³	1	1	yes	characteristic
277	#4092	C₂³	1	1	yes	characteristic
278	#4092	C₂³	1	1	yes	characteristic
279	#4092	C₂³	1	1	yes	characteristic
280	#4092	C₂³	1	1	yes	characteristic
281	#4092	C₂³	1	1	yes	characteristic, complemented
282	Q₈×Dic₅	C₂³	1	1	yes	characteristic, complemented
283	C₂×#689	C₂³	1	1	yes	characteristic, complemented
284	C₂×#689	C₂³	1	1	yes	characteristic, complemented
285	C₂×#688	—	4	2	no	—
286	C₂×#688	C₂³	1	1	yes	characteristic
287	C₂×#688	C₂³	1	1	yes	characteristic
288	C₂×#688	C₂³	1	1	yes	characteristic
289	C₂×#688	C₂³	1	1	yes	characteristic
290	C₂×#688	C₂³	1	1	yes	characteristic, complemented
291	#4085	—	2	1	no	—
292	#4085	—	2	1	no	—
293	#4085	—	2	1	no	—
294	#4085	—	2	1	no	—
295	#4085	—	2	1	no	—
296	#4085	—	2	1	no	—
297	#4085	—	2	1	no	—
298	#4084	—	2	1	no	—
299	#4084	C₂³	1	1	yes	characteristic
300	#4084	C₂³	1	1	yes	characteristic
301	#4084	C₂³	1	1	yes	characteristic, complemented
302	#4083	—	2	1	no	—
303	#4083	—	2	1	no	—
304	#4083	—	2	1	no	—
305	#4083	—	2	1	no	—
306	#4083	—	2	1	no	—
307	#4082	C₂³	1	1	yes	characteristic
308	#4081	—	2	1	no	—
309	#4081	—	2	1	no	—
310	D₄×Dic₅	—	2	1	no	—
311	D₄×Dic₅	D₄	1	1	yes	characteristic
312	D₄×Dic₅	C₂³	1	1	yes	characteristic
313	D₄×Dic₅	C₂³	1	1	yes	characteristic, complemented
314	C₂×#687	C₂³	1	1	yes	characteristic, complemented
315	C₂×#686	C₂³	1	1	yes	characteristic
316	C₂×#686	C₂³	1	1	yes	characteristic
317	C₂×#686	C₂³	1	1	yes	characteristic
318	C₂×#686	C₂³	1	1	yes	characteristic
319	#4076	—	2	1	no	—
320	#4076	—	2	1	no	—
321	#4076	C₂³	1	1	yes	characteristic
322	#4076	C₂³	1	1	yes	characteristic
323	#4076	C₂³	1	1	yes	characteristic, complemented
324	#4075	—	2	1	no	—
325	#4075	—	2	1	no	—
326	C₄×C₂²⋊D₅	—	2	1	no	—
327	C₄×C₂²⋊D₅	—	2	1	no	—
328	C₄×C₂²⋊D₅	—	2	1	no	—
329	C₄×C₂²⋊D₅	—	2	1	no	—
330	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
331	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
332	C₂×#685	—	2	1	no	—
333	C₂×#685	—	2	1	no	—
334	C₂×#685	—	2	1	no	—
335	C₂×#685	—	2	1	no	—
336	#4072	C₂³	1	1	yes	characteristic, complemented
337	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
338	#4070	C₂³	1	1	yes	characteristic
339	C₂×#683	—	2	1	no	—
340	C₂²×#168	C₂³	1	1	yes	characteristic
341	C₂²×#168	C₂³	1	1	yes	characteristic, complemented
342	#4065	—	4	2	no	—
343	#4062	—	4	2	no	—
344	D₅×D₈	—	4	2	no	—
345	D₅×D₈	—	4	2	no	—
346	C₂×D₄₀	C₂³	1	1	yes	characteristic
347	C₂×D₄₀	C₂³	1	1	yes	characteristic
348	C₂×#677	C₂³	1	1	yes	characteristic, complemented
349	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
350	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
351	C₂×C₈×D₅	C₂³	1	1	yes	characteristic, complemented
352	C₂×C₈×D₅	C₂³	1	1	yes	characteristic, complemented
353	#4044	—	2	1	no	—
354	#4044	—	2	1	no	—
355	#4043	C₂³	1	1	yes	characteristic
356	#4042	—	2	1	no	—
357	#4041	—	2	1	no	—
358	#4041	C₂³	1	1	yes	characteristic
359	#4041	C₂³	1	1	yes	characteristic
360	#4040	—	2	1	no	—
361	#4040	—	2	1	no	—
362	#4040	—	2	1	no	—
363	#4040	—	2	1	no	—
364	#4040	—	2	1	no	—
365	#4039	—	2	1	no	—
366	#4039	D₄	1	1	yes	characteristic
367	#4039	C₂³	1	1	yes	characteristic
368	#4038	—	2	1	no	—
369	#4038	C₂³	1	1	yes	characteristic, complemented
370	D₅×C₄⋊C₄	—	2	1	no	—
371	D₅×C₄⋊C₄	D₄	1	1	yes	characteristic
372	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
373	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
374	#4036	C₂³	1	1	yes	characteristic, complemented
375	#4035	—	2	1	no	—
376	#4035	—	2	1	no	—
377	#4032	—	2	1	no	—
378	#4032	—	2	1	no	—
379	#4031	—	2	1	no	—
380	#4031	—	2	1	no	—
381	#4030	—	2	1	no	—
382	#4030	—	2	1	no	—
383	#4030	—	2	1	no	—
384	#4030	—	2	1	no	—
385	#4030	—	2	1	no	—
386	#4029	—	2	1	no	—
387	#4029	—	2	1	no	—
388	#4029	—	2	1	no	—
389	#4029	—	2	1	no	—
390	#4029	—	2	1	no	—
391	#4029	—	2	1	no	—
392	#4028	—	2	1	no	—
393	#4028	—	2	1	no	—
394	#4028	—	2	1	no	—
395	#4028	—	2	1	no	—
396	#4028	—	2	1	no	—
397	#4027	—	2	1	no	—
398	#4027	—	2	1	no	—
399	#4027	—	2	1	no	—
400	#4027	—	2	1	no	—
401	#4027	D₄	1	1	yes	characteristic
402	#4027	D₄	1	1	yes	characteristic
403	D₅×C₂²⋊C₄	—	2	1	no	—
404	D₅×C₂²⋊C₄	—	2	1	no	—
405	D₅×C₂²⋊C₄	—	2	1	no	—
406	D₅×C₂²⋊C₄	—	2	1	no	—
407	D₅×C₂²⋊C₄	—	2	1	no	—
408	D₅×C₂²⋊C₄	—	2	1	no	—
409	D₅×C₂²⋊C₄	—	2	1	no	—
410	D₅×C₂²⋊C₄	—	2	1	no	—
411	D₅×C₂²⋊C₄	—	2	1	no	—
412	D₅×C₂²⋊C₄	—	2	1	no	—
413	D₅×C₂²⋊C₄	—	2	1	no	—
414	D₅×C₂²⋊C₄	D₄	1	1	yes	characteristic
415	D₅×C₂²⋊C₄	D₄	1	1	yes	characteristic
416	#4025	—	2	1	no	—
417	#4025	—	2	1	no	—
418	#4025	—	2	1	no	—
419	#4024	—	2	1	no	—
420	#4023	—	2	1	no	—
421	#4022	—	2	1	no	—
422	#4021	C₂³	1	1	yes	characteristic
423	C₄×D₂₀	—	2	1	no	—
424	C₄×D₂₀	C₂³	1	1	yes	characteristic
425	C₄×D₂₀	C₂³	1	1	yes	characteristic
426	C₄×D₂₀	C₂³	1	1	yes	characteristic, complemented
427	#4018	—	2	1	no	—
428	#4018	—	2	1	no	—
429	C₄²×D₅	C₂³	1	1	yes	characteristic
430	#4016	C₂³	1	1	yes	characteristic, complemented
431	C₅×#106	C₂³	1	1	yes	characteristic, complemented
432	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic, complemented
433	C₅×#103	C₂³	1	1	yes	characteristic, complemented
434	C₅×#103	C₂³	1	1	yes	characteristic, complemented
435	C₅×#103	C₂³	1	1	yes	characteristic, complemented
436	C₅×#102	C₂³	1	1	yes	characteristic
437	C₅×#102	C₂³	1	1	yes	characteristic
438	C₅×#102	C₂³	1	1	yes	characteristic, complemented
439	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
440	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic, complemented
441	C₄×C₅×C₈	C₂³	1	1	yes	characteristic, complemented
442	#3967	C₂³	1	1	yes	characteristic, complemented
443	#3967	C₂³	1	1	yes	characteristic, complemented
444	#3967	C₂³	1	1	yes	characteristic, complemented
445	#3967	C₂³	1	1	yes	characteristic, complemented
446	#3967	C₂³	1	1	yes	characteristic, complemented
447	#3964	C₂³	1	1	yes	characteristic
448	#3964	C₂³	1	1	yes	characteristic
449	#3964	C₂³	1	1	yes	characteristic
450	#3964	C₂³	1	1	yes	characteristic
451	#3964	C₂³	1	1	yes	characteristic
452	#3964	C₂³	1	1	yes	characteristic
453	#3964	C₂³	1	1	yes	characteristic, complemented
454	C₂²⋊#168	C₂³	1	1	yes	characteristic
455	C₂²⋊#168	C₂³	1	1	yes	characteristic, complemented
456	#3953	C₂³	1	1	yes	characteristic
457	#3953	C₂³	1	1	yes	characteristic
458	#3953	C₂³	1	1	yes	characteristic
459	#3953	C₂³	1	1	yes	characteristic
460	#3953	C₂³	1	1	yes	characteristic
461	#3953	C₂³	1	1	yes	characteristic
462	#3953	C₂³	1	1	yes	characteristic, complemented
463	#3952	C₂³	1	1	yes	characteristic
464	#3952	C₂³	1	1	yes	characteristic
465	#3952	C₂³	1	1	yes	characteristic
466	#3952	C₂³	1	1	yes	characteristic
467	#3952	C₂³	1	1	yes	characteristic
468	#3952	C₂³	1	1	yes	characteristic
469	#3952	C₂³	1	1	yes	characteristic, complemented
470	#3952	C₂³	1	1	yes	characteristic, complemented
471	#3950	C₂³	1	1	yes	characteristic, complemented
472	#3950	C₂³	1	1	yes	characteristic, complemented
473	#3949	C₂³	1	1	yes	characteristic, complemented
474	#3948	C₂³	1	1	yes	characteristic, complemented
475	#3948	C₂³	1	1	yes	characteristic, complemented
476	#3948	C₂³	1	1	yes	characteristic, complemented
477	#3946	C₂³	1	1	yes	characteristic, complemented
478	#3946	C₂³	1	1	yes	characteristic, complemented
479	C₈×Dic₅	C₂³	1	1	yes	characteristic, complemented
480	C₈×Dic₅	C₂³	1	1	yes	characteristic, complemented
481	#3942	C₂³	1	1	yes	characteristic, complemented
482	#3941	C₂³	1	1	yes	characteristic
483	#3941	C₂³	1	1	yes	characteristic
484	#3941	C₂³	1	1	yes	characteristic, complemented
485	#3940	C₂³	1	1	yes	characteristic, complemented
486	#3940	C₂³	1	1	yes	characteristic, complemented
487	#3939	C₂³	1	1	yes	characteristic, complemented
488	#3939	C₂³	1	1	yes	characteristic, complemented
489	C₄⋊#168	C₂³	1	1	yes	characteristic, complemented
490	C₄×#168	C₂³	1	1	yes	characteristic, complemented
491	#3505	—	5	1	no	—
492	C₂×#546	—	5	1	no	—
493	#3297	—	5	1	no	—
494	#3297	—	5	1	no	—
495	#3297	—	5	1	no	—
496	#3297	—	5	1	no	—
497	#3296	—	5	1	no	—
498	#3296	—	5	1	no	—
499	#3296	—	5	1	no	—
500	#3296	—	5	1	no	—
501	#3282	—	5	1	no	—
502	#3282	—	5	1	no	—
503	#3282	—	5	1	no	—
504	#3282	D₅	1	1	yes	characteristic, complemented
505	#3280	—	5	1	no	—
506	#3280	—	5	1	no	—
507	#3280	—	5	1	no	—
508	#3280	—	5	1	no	—
509	#3211	—	5	1	no	—
510	#3211	—	5	1	no	—
511	#3189	—	5	1	no	—
512	#3188	—	5	1	no	—
513	#3188	—	5	1	no	—
514	#3187	—	5	1	no	—
515	#3105	—	5	1	no	—
516	#3105	—	5	1	no	—
517	#3002	—	5	1	no	—
518	#3002	—	5	1	no	—
519	C₂×#450	—	5	1	no	—
520	C₂×#447	—	5	1	no	—
521	#2972	—	5	1	no	—
522	C₂⁴×C₅	—	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	—	2	1	no	—
528	C₂³×D₅	—	2	1	no	—
529	C₂³×D₅	—	4	4	no	—
530	C₂³×D₅	—	4	4	no	—
531	C₂³×D₅	—	8	2	no	—
532	C₂³×D₅	C₂×D₄	1	1	yes	characteristic
533	C₂³×D₅	C₂×D₄	1	1	yes	characteristic
534	C₅×#41	—	2	2	no	—
535	C₅×#41	—	4	1	no	—
536	C₅×#41	—	4	1	no	—
537	C₅×#41	—	4	1	no	—
538	C₂×C₅×Q₈	—	2	1	no	—
539	C₂×C₅×Q₈	—	4	1	no	—
540	C₂×C₅×Q₈	—	4	1	no	—
541	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
542	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
543	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
544	C₂×C₅×D₄	—	2	2	no	—
545	C₂×C₅×D₄	—	2	1	no	—
546	C₂×C₅×D₄	—	2	1	no	—
547	C₂×C₅×D₄	—	2	1	no	—
548	C₂×C₅×D₄	—	2	1	no	—
549	C₂×C₅×D₄	—	2	1	no	—
550	C₂×C₅×D₄	—	4	1	no	—
551	C₂×C₅×D₄	C₂×D₄	1	1	yes	characteristic
552	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
553	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
554	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
555	C₂²×C₄×C₅	—	2	1	no	—
556	C₂²×C₄×C₅	—	2	1	no	—
557	C₂²×C₄×C₅	—	2	1	no	—
558	C₂²×C₄×C₅	—	2	1	no	—
559	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
560	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
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	—	4	4	no	—
575	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
576	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
577	C₂²×Dic₅	—	2	1	no	—
578	C₂²×Dic₅	—	2	1	no	—
579	C₂²×Dic₅	—	2	1	no	—
580	C₂²×Dic₅	—	2	1	no	—
581	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
582	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
583	#713	—	2	2	no	—
584	#713	—	4	1	no	—
585	#713	—	4	1	no	—
586	#713	—	4	1	no	—
587	Q₈×D₅	—	4	1	no	—
588	Q₈×D₅	—	4	1	no	—
589	#711	—	2	2	no	—
590	#711	—	4	1	no	—
591	#711	—	4	4	no	—
592	D₄×D₅	—	2	4	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	—	4	1	no	—
598	D₄×D₅	—	4	1	no	—
599	D₄×D₅	—	4	1	no	—
600	D₄×D₅	—	4	1	no	—
601	D₄×D₅	—	4	1	no	—
602	D₄×D₅	—	4	1	no	—
603	D₄×D₅	—	4	4	no	—
604	D₄×D₅	—	4	4	no	—
605	D₄×D₅	—	4	4	no	—
606	D₄×D₅	—	4	4	no	—
607	D₄×D₅	—	8	2	no	—
608	#709	—	2	2	no	—
609	#709	—	4	1	no	—
610	#709	—	4	4	no	—
611	C₂×D₂₀	—	2	2	no	—
612	C₂×D₂₀	—	2	1	no	—
613	C₂×D₂₀	—	2	1	no	—
614	C₂×D₂₀	—	2	1	no	—
615	C₂×D₂₀	—	2	1	no	—
616	C₂×D₂₀	—	2	1	no	—
617	C₂×D₂₀	—	4	1	no	—
618	C₂×D₂₀	C₂×D₄	1	1	yes	characteristic
619	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
620	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
621	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
628	C₂×C₄×D₅	—	2	1	no	—
629	C₂×C₄×D₅	—	2	1	no	—
630	C₂×C₄×D₅	—	2	1	no	—
631	C₂×C₄×D₅	—	4	1	no	—
632	C₂×C₄×D₅	—	4	1	no	—
633	C₂×C₄×D₅	—	4	1	no	—
634	C₂×C₄×D₅	—	4	1	no	—
635	C₂×C₄×D₅	—	4	4	no	—
636	C₂×C₄×D₅	—	8	2	no	—
637	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
638	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
639	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
640	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
641	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
642	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
643	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
644	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
645	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
646	C₂×Dic₁₀	—	2	1	no	—
647	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
648	C₅×Q₁₆	—	4	1	no	—
649	C₅×Q₁₆	—	4	1	no	—
650	C₅×SD₁₆	—	2	2	no	—
651	C₅×SD₁₆	—	2	2	no	—
652	C₅×SD₁₆	—	4	1	no	—
653	C₅×SD₁₆	—	4	1	no	—
654	C₅×SD₁₆	—	4	1	no	—
655	C₅×D₈	—	2	2	no	—
656	C₅×D₈	—	4	1	no	—
657	C₂×C₅×C₈	—	4	1	no	—
658	C₂×C₅×C₈	—	4	1	no	—
659	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
660	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
661	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
662	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
663	C₅×C₄⋊C₄	—	2	1	no	—
664	C₅×C₄⋊C₄	—	2	1	no	—
665	C₅×C₄⋊C₄	—	2	1	no	—
666	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
667	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
668	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
669	C₅×C₂²⋊C₄	—	2	1	no	—
670	C₅×C₂²⋊C₄	—	2	1	no	—
671	C₅×C₂²⋊C₄	—	2	1	no	—
672	C₅×C₂²⋊C₄	—	2	1	no	—
673	C₅×C₂²⋊C₄	—	2	1	no	—
674	C₅×C₂²⋊C₄	—	2	1	no	—
675	C₅×C₂²⋊C₄	—	2	1	no	—
676	C₅×C₂²⋊C₄	—	2	1	no	—
677	C₅×C₂²⋊C₄	—	2	1	no	—
678	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
679	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
680	C₄²×C₅	—	2	1	no	—
681	C₄²×C₅	C₂⁴	1	1	yes	characteristic
682	C₂²⋊Dic₅	—	2	1	no	—
683	C₂²⋊Dic₅	—	2	1	no	—
684	C₂²⋊Dic₅	—	2	1	no	—
685	C₂²⋊Dic₅	—	2	1	no	—
686	C₂²⋊Dic₅	—	2	1	no	—
687	C₂²⋊Dic₅	—	2	1	no	—
688	C₂²⋊Dic₅	—	2	1	no	—
689	C₂²⋊Dic₅	—	2	1	no	—
690	C₂²⋊Dic₅	—	2	1	no	—
691	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
692	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
693	#689	—	4	1	no	—
694	#689	—	4	1	no	—
695	#688	—	2	2	no	—
696	#688	—	2	2	no	—
697	#688	—	4	1	no	—
698	#688	—	4	1	no	—
699	#688	—	4	1	no	—
700	#687	—	4	1	no	—
701	#686	—	2	2	no	—
702	#686	—	2	2	no	—
703	#686	—	4	1	no	—
704	#686	—	4	1	no	—
705	#685	—	2	1	no	—
706	#685	—	2	1	no	—
707	#685	—	2	1	no	—
708	#685	—	2	1	no	—
709	#685	—	2	1	no	—
710	#685	—	2	1	no	—
711	#685	—	2	1	no	—
712	#685	—	2	1	no	—
713	#685	—	2	1	no	—
714	#685	—	2	1	no	—
715	#685	—	2	1	no	—
716	#685	—	2	1	no	—
717	#685	—	2	1	no	—
718	#685	—	2	1	no	—
719	#685	—	2	1	no	—
720	#685	—	2	1	no	—
721	#685	—	2	1	no	—
722	#685	—	2	1	no	—
723	#685	—	2	1	no	—
724	#685	—	2	1	no	—
725	#685	—	2	1	no	—
726	#685	—	2	1	no	—
727	#685	C₂×D₄	1	1	yes	characteristic
728	#685	C₂×D₄	1	1	yes	characteristic
729	#685	C₂×D₄	1	1	yes	characteristic
730	#685	C₂×D₄	1	1	yes	characteristic
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	C₂×D₄	1	1	yes	characteristic
736	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
737	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
738	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
739	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
740	#683	—	2	1	no	—
741	#683	—	2	1	no	—
742	#683	—	2	1	no	—
743	#683	—	2	1	no	—
744	#683	—	2	1	no	—
745	#683	—	2	1	no	—
746	#683	—	2	1	no	—
747	#683	—	2	1	no	—
748	#683	—	2	1	no	—
749	#683	—	2	1	no	—
750	#683	—	2	1	no	—
751	#683	—	2	1	no	—
752	#683	C₂×D₄	1	1	yes	characteristic
753	#683	C₂×D₄	1	1	yes	characteristic
754	C₄×Dic₅	—	2	1	no	—
755	C₄×Dic₅	—	2	1	no	—
756	C₄×Dic₅	—	2	1	no	—
757	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
758	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
759	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
760	C₂×#168	—	4	1	no	—
761	C₂×#168	—	4	1	no	—
762	C₂×#168	C₂⁴	1	1	yes	characteristic
763	C₂×#168	C₂⁴	1	1	yes	characteristic
764	C₂×#168	C₂⁴	1	1	yes	characteristic
765	C₂×#168	C₂⁴	1	1	yes	characteristic
766	D₄₀	—	2	2	no	—
767	D₄₀	—	4	1	no	—
768	#677	—	4	1	no	—
769	C₈×D₅	—	4	1	no	—
770	C₈×D₅	—	4	1	no	—
771	C₈×D₅	—	4	1	no	—
772	C₈×D₅	—	4	1	no	—
773	C₂²×#41	—	5	1	no	—
774	C₂³×D₄	—	5	1	no	—
775	C₂×#135	—	5	1	no	—
776	C₂×#135	—	5	1	no	—
777	C₂×#135	—	5	1	no	—
778	C₂×#135	C₂×D₅	1	1	yes	characteristic, complemented
779	C₂²×SD₁₆	—	5	1	no	—
780	C₂²×SD₁₆	C₂×D₅	1	1	yes	characteristic, complemented
781	C₂²×D₈	—	5	1	no	—
782	C₂²×D₈	—	5	1	no	—
783	#553	—	5	1	no	—
784	#553	—	5	1	no	—
785	#553	—	10	1	no	—
786	#553	—	10	1	no	—
787	#552	—	5	1	no	—
788	#552	—	5	1	no	—
789	#551	—	10	1	no	—
790	#551	—	10	1	no	—
791	#548	—	5	1	no	—
792	#548	C₂×D₅	1	1	yes	characteristic, complemented
793	#546	—	5	1	no	—
794	#546	—	5	1	no	—
795	#546	—	5	1	no	—
796	#546	—	5	1	no	—
797	#546	—	5	1	no	—
798	#546	—	5	1	no	—
799	#546	—	5	1	no	—
800	#546	—	5	1	no	—
801	#546	—	5	1	no	—
802	#546	—	10	1	no	—
803	#546	—	10	1	no	—
804	#546	—	10	1	no	—
805	#546	—	10	1	no	—
806	#546	C₂×D₅	1	1	yes	characteristic, complemented
807	#539	—	10	1	no	—
808	#538	—	10	1	no	—
809	#534	—	10	1	no	—
810	#529	—	5	1	no	—
811	#529	—	5	1	no	—
812	C₂×#124	—	5	1	no	—
813	#525	—	5	1	no	—
814	#525	—	5	1	no	—
815	C₂×#123	—	10	1	no	—
816	C₂×C₂²⋊Q₈	—	5	1	no	—
817	C₂×C₂²⋊Q₈	—	5	1	no	—
818	C₂×#121	—	5	1	no	—
819	C₂×#121	—	5	1	no	—
820	C₂×#121	—	10	1	no	—
821	C₂×#120	—	10	1	no	—
822	#518	—	10	1	no	—
823	C₂×C₄×D₄	—	5	1	no	—
824	C₂×C₄×D₄	—	5	1	no	—
825	C₂²×C₂²⋊C₄	—	10	1	no	—
826	#495	—	5	1	no	—
827	#495	—	5	1	no	—
828	#495	—	5	1	no	—
829	#495	C₂×D₅	1	1	yes	characteristic, complemented
830	#488	—	5	1	no	—
831	#488	—	5	1	no	—
832	#488	—	5	1	no	—
833	#488	—	5	1	no	—
834	#484	—	5	1	no	—
835	#484	—	5	1	no	—
836	#484	—	5	1	no	—
837	#484	—	5	1	no	—
838	#483	—	5	1	no	—
839	#483	—	5	1	no	—
840	#482	—	5	1	no	—
841	#482	—	5	1	no	—
842	#482	—	5	1	no	—
843	#482	—	5	1	no	—
844	#481	—	5	1	no	—
845	#481	—	5	1	no	—
846	#478	—	5	1	no	—
847	#478	—	5	1	no	—
848	#478	—	5	1	no	—
849	#478	—	5	1	no	—
850	#467	—	5	1	no	—
851	#467	—	5	1	no	—
852	#467	—	5	1	no	—
853	#467	—	5	1	no	—
854	#466	—	5	1	no	—
855	#466	—	5	1	no	—
856	#466	—	5	1	no	—
857	#466	—	5	1	no	—
858	#465	—	5	1	no	—
859	#465	—	5	1	no	—
860	#465	—	5	1	no	—
861	#465	—	5	1	no	—
862	#465	—	5	1	no	—
863	#465	—	5	1	no	—
864	#465	C₂×D₅	1	1	yes	characteristic, complemented
865	#465	C₂×D₅	1	1	yes	characteristic, complemented
866	#464	—	5	1	no	—
867	#464	—	5	1	no	—
868	#464	—	5	1	no	—
869	#464	C₂×D₅	1	1	yes	characteristic, complemented
870	#463	—	5	1	no	—
871	#463	—	5	1	no	—
872	#463	—	5	1	no	—
873	#463	—	5	1	no	—
874	#463	—	5	1	no	—
875	#463	—	5	1	no	—
876	#463	—	5	1	no	—
877	#463	C₂×D₅	1	1	yes	characteristic, complemented
878	#452	—	5	1	no	—
879	#452	—	5	1	no	—
880	#452	—	5	1	no	—
881	#452	C₂×D₅	1	1	yes	characteristic, complemented
882	#451	—	5	1	no	—
883	#451	—	5	1	no	—
884	#451	—	5	1	no	—
885	#451	C₂×D₅	1	1	yes	characteristic, complemented
886	#450	—	5	1	no	—
887	#450	—	5	1	no	—
888	#450	—	5	1	no	—
889	#450	—	5	1	no	—
890	#450	—	5	1	no	—
891	#450	—	5	1	no	—
892	#450	—	5	1	no	—
893	#450	—	5	1	no	—
894	#450	—	5	1	no	—
895	#450	—	5	1	no	—
896	#449	—	5	1	no	—
897	#449	—	5	1	no	—
898	#449	—	5	1	no	—
899	#449	—	5	1	no	—
900	#449	—	5	1	no	—
901	#449	—	5	1	no	—
902	#449	—	5	1	no	—
903	#449	C₂×D₅	1	1	yes	characteristic, complemented
904	#448	—	5	1	no	—
905	#448	—	5	1	no	—
906	#447	—	5	1	no	—
907	#447	—	5	1	no	—
908	#447	—	5	1	no	—
909	#447	—	5	1	no	—
910	#447	—	5	1	no	—
911	#447	—	5	1	no	—
912	#447	—	5	1	no	—
913	#447	C₂×D₅	1	1	yes	characteristic, complemented
914	C₄×SD₁₆	—	5	1	no	—
915	C₄×SD₁₆	—	5	1	no	—
916	C₄×SD₁₆	—	5	1	no	—
917	C₄×SD₁₆	C₂×D₅	1	1	yes	characteristic, complemented
918	C₄×D₈	—	5	1	no	—
919	C₄×D₈	—	5	1	no	—
920	C₄×D₈	—	5	1	no	—
921	C₄×D₈	—	5	1	no	—
922	C₈×D₄	—	5	1	no	—
923	C₈×D₄	—	5	1	no	—
924	C₈×D₄	—	5	1	no	—
925	C₈×D₄	—	5	1	no	—
926	C₈×D₄	—	5	1	no	—
927	C₈×D₄	—	5	1	no	—
928	C₈×D₄	—	5	1	no	—
929	C₈×D₄	C₂×D₅	1	1	yes	characteristic, complemented
930	#431	—	5	1	no	—
931	#431	—	5	1	no	—
932	#416	—	5	1	no	—
933	#416	—	5	1	no	—
934	#416	—	5	1	no	—
935	#416	—	5	1	no	—
936	C₂×#102	—	5	1	no	—
937	C₂×#102	—	5	1	no	—
938	C₂×#102	—	5	1	no	—
939	C₂×#102	—	5	1	no	—
940	C₂×C₂²⋊C₈	—	5	1	no	—
941	C₂×C₂²⋊C₈	—	5	1	no	—
942	C₂×C₂²⋊C₈	—	5	1	no	—
943	C₂×C₂²⋊C₈	—	5	1	no	—
944	C₂³×C₅	—	2	1	no	—
945	C₂³×C₅	—	2	1	no	—
946	C₂³×C₅	—	2	1	no	—
947	C₂³×C₅	—	4	2	no	—
948	C₂³×C₅	—	4	2	no	—
949	C₂³×C₅	—	8	1	no	—
950	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
951	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
952	C₂²×D₅	—	2	4	no	—
953	C₂²×D₅	—	2	1	no	—
954	C₂²×D₅	—	2	2	no	—
955	C₂²×D₅	—	2	1	no	—
956	C₂²×D₅	—	2	1	no	—
957	C₂²×D₅	—	4	1	no	—
958	C₂²×D₅	—	4	1	no	—
959	C₂²×D₅	—	4	1	no	—
960	C₂²×D₅	—	4	1	no	—
961	C₂²×D₅	—	4	2	no	—
962	C₂²×D₅	—	4	2	no	—
963	C₂²×D₅	—	4	2	no	—
964	C₂²×D₅	—	4	2	no	—
965	C₂²×D₅	—	4	2	no	—
966	C₂²×D₅	—	4	2	no	—
967	C₂²×D₅	—	4	2	no	—
968	C₂²×D₅	—	4	2	no	—
969	C₂²×D₅	—	4	2	no	—
970	C₂²×D₅	—	4	2	no	—
971	C₂²×D₅	—	4	2	no	—
972	C₂²×D₅	—	4	2	no	—
973	C₂²×D₅	—	8	1	no	—
974	C₂²×D₅	—	8	1	no	—
975	C₂²×D₅	—	8	1	no	—
976	C₂²×D₅	—	8	1	no	—
977	C₂²×D₅	—	8	1	no	—
978	C₂²×D₅	—	8	16	no	—
979	C₂²×D₅	#135	1	4	yes	complemented
980	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
981	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
982	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
983	C₅×Q₈	—	2	1	no	—
984	C₅×Q₈	—	2	1	no	—
985	C₅×Q₈	—	2	1	no	—
986	C₅×Q₈	—	2	1	no	—
987	C₅×Q₈	—	2	1	no	—
988	C₅×Q₈	—	2	1	no	—
989	C₅×Q₈	—	8	1	no	—
990	C₅×D₄	—	2	2	no	—
991	C₅×D₄	—	2	1	no	—
992	C₅×D₄	—	2	1	no	—
993	C₅×D₄	—	2	1	no	—
994	C₅×D₄	—	2	1	no	—
995	C₅×D₄	—	2	1	no	—
996	C₅×D₄	—	4	2	no	—
997	C₅×D₄	—	4	2	no	—
998	C₅×D₄	—	4	2	no	—
999	C₅×D₄	—	8	1	no	—
1000	C₅×D₄	—	8	1	no	—
1001	C₅×D₄	H(5,𝔽₂)	1	2	yes	—
1002	C₂×C₄×C₅	—	2	1	no	—
1003	C₂×C₄×C₅	—	2	1	no	—
1004	C₂×C₄×C₅	—	2	1	no	—
1005	C₂×C₄×C₅	—	2	1	no	—
1006	C₂×C₄×C₅	—	2	1	no	—
1007	C₂×C₄×C₅	—	2	1	no	—
1008	C₂×C₄×C₅	—	2	1	no	—
1009	C₂×C₄×C₅	—	2	1	no	—
1010	C₂×C₄×C₅	—	2	1	no	—
1011	C₂×C₄×C₅	—	4	2	no	—
1012	C₂×C₄×C₅	—	8	1	no	—
1013	C₂×C₄×C₅	—	8	1	no	—
1014	C₂×C₄×C₅	—	8	1	no	—
1015	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
1016	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
1017	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
1018	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
1019	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
1020	C₂²⋊D₅	—	2	4	no	—
1021	C₂²⋊D₅	—	2	2	no	—
1022	C₂²⋊D₅	—	2	2	no	—
1023	C₂²⋊D₅	—	4	2	no	—
1024	C₂²⋊D₅	—	4	2	no	—
1025	C₂²⋊D₅	—	4	2	no	—
1026	C₂²⋊D₅	—	4	2	no	—
1027	C₂²⋊D₅	—	4	2	no	—
1028	C₂²⋊D₅	—	4	2	no	—
1029	C₂²⋊D₅	—	4	2	no	—
1030	C₂²⋊D₅	—	8	1	no	—
1031	C₂²⋊D₅	—	8	1	no	—
1032	C₂²⋊D₅	—	8	1	no	—
1033	C₂²⋊D₅	—	8	1	no	—
1034	C₂²⋊D₅	—	8	1	no	—
1035	C₂×Dic₅	—	2	1	no	—
1036	C₂×Dic₅	—	2	1	no	—
1037	C₂×Dic₅	—	2	1	no	—
1038	C₂×Dic₅	—	2	1	no	—
1039	C₂×Dic₅	—	2	1	no	—
1040	C₂×Dic₅	—	4	1	no	—
1041	C₂×Dic₅	—	4	1	no	—
1042	C₂×Dic₅	—	4	2	no	—
1043	C₂×Dic₅	—	8	1	no	—
1044	C₂×Dic₅	—	8	1	no	—
1045	C₂×Dic₅	—	8	1	no	—
1046	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1047	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1048	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1049	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1050	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1051	D₂₀	—	2	2	no	—
1052	D₂₀	—	2	1	no	—
1053	D₂₀	—	2	1	no	—
1054	D₂₀	—	2	1	no	—
1055	D₂₀	—	2	1	no	—
1056	D₂₀	—	2	1	no	—
1057	D₂₀	—	4	2	no	—
1058	D₂₀	—	4	2	no	—
1059	D₂₀	—	4	2	no	—
1060	D₂₀	—	8	1	no	—
1061	D₂₀	—	8	1	no	—
1062	D₂₀	H(5,𝔽₂)	1	2	yes	—
1063	C₄×D₅	—	2	2	no	—
1064	C₄×D₅	—	2	1	no	—
1065	C₄×D₅	—	2	1	no	—
1066	C₄×D₅	—	2	1	no	—
1067	C₄×D₅	—	2	1	no	—
1068	C₄×D₅	—	2	1	no	—
1069	C₄×D₅	—	2	1	no	—
1070	C₄×D₅	—	4	1	no	—
1071	C₄×D₅	—	4	1	no	—
1072	C₄×D₅	—	4	1	no	—
1073	C₄×D₅	—	4	1	no	—
1074	C₄×D₅	—	4	1	no	—
1075	C₄×D₅	—	4	2	no	—
1076	C₄×D₅	—	4	2	no	—
1077	C₄×D₅	—	4	2	no	—
1078	C₄×D₅	—	4	2	no	—
1079	C₄×D₅	—	4	2	no	—
1080	C₄×D₅	—	8	1	no	—
1081	C₄×D₅	—	8	1	no	—
1082	C₄×D₅	—	8	1	no	—
1083	C₄×D₅	—	8	1	no	—
1084	Dic₁₀	—	2	1	no	—
1085	Dic₁₀	—	2	1	no	—
1086	Dic₁₀	—	4	2	no	—
1087	C₅×C₈	—	2	1	no	—
1088	C₅×C₈	—	2	1	no	—
1089	C₅×C₈	—	2	1	no	—
1090	C₅×C₈	—	2	1	no	—
1091	#168	—	2	1	no	—
1092	#168	—	2	1	no	—
1093	#168	—	2	1	no	—
1094	#168	—	2	1	no	—
1095	C₂⁵	—	10	1	no	—
1096	C₂×#41	—	5	1	no	—
1097	C₂×#41	—	5	1	no	—
1098	C₂×#41	—	5	1	no	—
1099	C₂×#41	—	5	1	no	—
1100	C₂×#41	—	10	1	no	—
1101	C₂×#41	—	10	1	no	—
1102	C₂×#41	—	20	2	no	—
1103	C₂×#41	—	20	2	no	—
1104	C₂×#41	C₂²×D₅	1	1	yes	characteristic
1105	C₂×#41	C₂²×D₅	1	1	yes	characteristic, complemented
1106	C₂²×Q₈	—	5	1	no	—
1107	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic
1108	C₂²×D₄	—	5	1	no	—
1109	C₂²×D₄	—	5	1	no	—
1110	C₂²×D₄	—	5	1	no	—
1111	C₂²×D₄	—	5	1	no	—
1112	C₂²×D₄	—	5	1	no	—
1113	C₂²×D₄	—	5	1	no	—
1114	C₂²×D₄	—	5	1	no	—
1115	C₂²×D₄	—	10	1	no	—
1116	C₂²×D₄	—	10	1	no	—
1117	C₂²×D₄	—	10	1	no	—
1118	C₂²×D₄	—	10	1	no	—
1119	C₂²×D₄	—	10	1	no	—
1120	C₂²×D₄	—	10	1	no	—
1121	C₂²×D₄	—	20	2	no	—
1122	C₂²×D₄	—	20	2	no	—
1123	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
1124	C₂³×C₄	—	5	1	no	—
1125	C₂³×C₄	—	5	1	no	—
1126	C₂³×C₄	—	10	1	no	—
1127	C₂³×C₄	—	10	1	no	—
1128	#135	—	4	2	no	—
1129	#135	—	20	2	no	—
1130	#135	—	20	2	no	—
1131	#135	—	20	2	no	—
1132	C₂×Q₁₆	—	5	1	no	—
1133	C₂×Q₁₆	—	5	1	no	—
1134	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic, complemented
1135	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic, complemented
1136	C₂×SD₁₆	—	4	2	no	—
1137	C₂×SD₁₆	—	5	1	no	—
1138	C₂×SD₁₆	—	5	1	no	—
1139	C₂×SD₁₆	—	5	1	no	—
1140	C₂×SD₁₆	—	5	1	no	—
1141	C₂×SD₁₆	—	5	1	no	—
1142	C₂×SD₁₆	—	5	1	no	—
1143	C₂×SD₁₆	—	5	1	no	—
1144	C₂×SD₁₆	—	20	2	no	—
1145	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1146	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1147	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1148	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1149	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic, complemented
1150	C₂×D₈	—	5	1	no	—
1151	C₂×D₈	—	5	1	no	—
1152	C₂×D₈	—	5	1	no	—
1153	C₂×D₈	—	5	1	no	—
1154	C₂×D₈	—	5	1	no	—
1155	C₂×D₈	—	5	1	no	—
1156	C₂×D₈	—	20	2	no	—
1157	C₂×D₈	—	20	2	no	—
1158	C₂×D₈	C₂²×D₅	1	1	yes	characteristic
1159	C₂×D₈	C₂²×D₅	1	1	yes	characteristic
1160	C₂²×C₈	—	5	1	no	—
1161	C₂²×C₈	—	5	1	no	—
1162	C₂²×C₈	—	5	1	no	—
1163	C₂²×C₈	—	5	1	no	—
1164	C₂²×C₈	—	5	1	no	—
1165	C₂²×C₈	—	5	1	no	—
1166	C₂²×C₈	C₂²×D₅	1	1	yes	characteristic
1167	C₂²×C₈	C₂²×D₅	1	1	yes	characteristic, complemented
1168	#126	—	10	1	no	—
1169	#126	—	10	1	no	—
1170	#126	—	10	1	no	—
1171	#126	—	10	1	no	—
1172	#126	—	10	1	no	—
1173	#126	—	10	1	no	—
1174	#125	—	5	1	no	—
1175	#125	—	5	1	no	—
1176	#125	—	10	1	no	—
1177	#125	—	10	1	no	—
1178	#124	—	2	1	no	—
1179	#124	—	5	1	no	—
1180	#124	—	5	1	no	—
1181	#124	—	5	1	no	—
1182	#124	—	5	1	no	—
1183	#124	—	10	1	no	—
1184	#124	—	10	1	no	—
1185	#124	—	10	1	no	—
1186	#124	C₂²×D₅	1	1	yes	characteristic
1187	#124	C₂²×D₅	1	1	yes	characteristic, complemented
1188	#123	—	2	1	no	—
1189	#123	—	10	1	no	—
1190	#123	—	10	1	no	—
1191	#123	—	10	1	no	—
1192	#123	—	10	1	no	—
1193	#123	—	10	1	no	—
1194	#123	—	10	1	no	—
1195	#123	—	10	1	no	—
1196	#123	—	10	1	no	—
1197	#123	—	10	1	no	—
1198	#123	—	10	1	no	—
1199	#123	—	10	1	no	—
1200	#123	—	10	1	no	—
1201	#123	—	10	1	no	—
1202	#123	—	10	1	no	—
1203	#123	—	10	1	no	—
1204	#123	—	10	1	no	—
1205	#123	—	10	1	no	—
1206	C₂²⋊Q₈	—	2	1	no	—
1207	C₂²⋊Q₈	—	5	1	no	—
1208	C₂²⋊Q₈	—	5	1	no	—
1209	C₂²⋊Q₈	—	5	1	no	—
1210	C₂²⋊Q₈	—	5	1	no	—
1211	C₂²⋊Q₈	—	5	1	no	—
1212	C₂²⋊Q₈	—	5	1	no	—
1213	C₂²⋊Q₈	—	5	1	no	—
1214	C₂²⋊Q₈	—	5	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	C₂²×D₅	1	1	yes	characteristic
1221	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic, complemented
1222	#121	—	2	1	no	—
1223	#121	—	2	1	no	—
1224	#121	—	5	1	no	—
1225	#121	—	5	1	no	—
1226	#121	—	5	1	no	—
1227	#121	—	5	1	no	—
1228	#121	—	5	1	no	—
1229	#121	—	5	1	no	—
1230	#121	—	5	1	no	—
1231	#121	—	5	1	no	—
1232	#121	—	10	1	no	—
1233	#121	—	10	1	no	—
1234	#121	—	10	1	no	—
1235	#121	—	10	1	no	—
1236	#121	—	10	1	no	—
1237	#121	—	10	1	no	—
1238	#121	—	10	1	no	—
1239	#121	—	10	1	no	—
1240	#121	—	10	1	no	—
1241	#121	—	10	1	no	—
1242	#121	—	10	1	no	—
1243	#121	—	10	1	no	—
1244	#121	—	10	1	no	—
1245	#121	—	10	1	no	—
1246	#121	—	10	1	no	—
1247	#121	—	10	1	no	—
1248	#121	C₂²×D₅	1	1	yes	characteristic
1249	#121	C₂²×D₅	1	1	yes	characteristic
1250	#120	—	2	1	no	—
1251	#120	—	10	1	no	—
1252	#120	—	10	1	no	—
1253	#120	—	10	1	no	—
1254	#120	—	10	1	no	—
1255	#120	—	10	1	no	—
1256	#120	—	10	1	no	—
1257	#120	—	10	1	no	—
1258	#120	—	10	1	no	—
1259	#120	—	10	1	no	—
1260	#120	—	10	1	no	—
1261	#120	—	10	1	no	—
1262	C₄×Q₈	—	5	1	no	—
1263	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic, complemented
1264	C₄×D₄	—	2	1	no	—
1265	C₄×D₄	—	5	1	no	—
1266	C₄×D₄	—	5	1	no	—
1267	C₄×D₄	—	5	1	no	—
1268	C₄×D₄	—	5	1	no	—
1269	C₄×D₄	—	5	1	no	—
1270	C₄×D₄	—	5	1	no	—
1271	C₄×D₄	—	5	1	no	—
1272	C₄×D₄	—	5	1	no	—
1273	C₄×D₄	—	5	1	no	—
1274	C₄×D₄	—	5	1	no	—
1275	C₄×D₄	—	5	1	no	—
1276	C₄×D₄	—	5	1	no	—
1277	C₄×D₄	—	10	1	no	—
1278	C₄×D₄	—	10	1	no	—
1279	C₄×D₄	—	10	1	no	—
1280	C₄×D₄	—	10	1	no	—
1281	C₄×D₄	—	10	1	no	—
1282	C₄×D₄	—	10	1	no	—
1283	C₄×D₄	—	10	1	no	—
1284	C₄×D₄	—	10	1	no	—
1285	C₄×D₄	—	10	1	no	—
1286	C₄×D₄	—	10	1	no	—
1287	C₄×D₄	—	10	1	no	—
1288	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1289	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1290	#117	—	5	1	no	—
1291	#117	—	5	1	no	—
1292	#117	—	10	1	no	—
1293	#117	—	10	1	no	—
1294	#117	—	10	1	no	—
1295	#117	—	10	1	no	—
1296	C₂×C₄⋊C₄	—	5	1	no	—
1297	C₂×C₄⋊C₄	—	5	1	no	—
1298	C₂×C₄⋊C₄	—	5	1	no	—
1299	C₂×C₄⋊C₄	—	5	1	no	—
1300	C₂×C₄⋊C₄	—	10	1	no	—
1301	C₂×C₄⋊C₄	—	10	1	no	—
1302	C₂×C₂²⋊C₄	—	2	1	no	—
1303	C₂×C₂²⋊C₄	—	5	1	no	—
1304	C₂×C₂²⋊C₄	—	5	1	no	—
1305	C₂×C₂²⋊C₄	—	10	1	no	—
1306	C₂×C₂²⋊C₄	—	10	1	no	—
1307	C₂×C₂²⋊C₄	—	10	1	no	—
1308	C₂×C₂²⋊C₄	—	10	1	no	—
1309	C₂×C₂²⋊C₄	—	10	1	no	—
1310	C₂×C₂²⋊C₄	—	10	1	no	—
1311	C₂×C₂²⋊C₄	—	10	1	no	—
1312	C₂×C₂²⋊C₄	—	10	1	no	—
1313	C₂×C₂²⋊C₄	—	10	1	no	—
1314	C₂×C₂²⋊C₄	—	10	1	no	—
1315	C₂×C₂²⋊C₄	—	10	1	no	—
1316	C₂×C₂²⋊C₄	—	10	1	no	—
1317	C₂×C₂²⋊C₄	—	10	1	no	—
1318	C₂×C₂²⋊C₄	—	10	1	no	—
1319	C₂×C₂²⋊C₄	—	10	1	no	—
1320	C₂×C₂²⋊C₄	—	10	1	no	—
1321	C₂×C₄²	—	5	1	no	—
1322	#107	—	5	1	no	—
1323	#107	—	5	1	no	—
1324	#107	—	5	1	no	—
1325	#107	—	5	1	no	—
1326	#106	—	5	1	no	—
1327	#106	—	5	1	no	—
1328	#106	—	5	1	no	—
1329	#106	C₂²×D₅	1	1	yes	characteristic, complemented
1330	C₄⋊C₈	—	5	1	no	—
1331	C₄⋊C₈	—	5	1	no	—
1332	C₄⋊C₈	—	5	1	no	—
1333	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic, complemented
1334	#103	—	5	1	no	—
1335	#103	—	5	1	no	—
1336	#103	—	5	1	no	—
1337	#103	—	5	1	no	—
1338	#103	—	5	1	no	—
1339	#103	—	5	1	no	—
1340	#103	—	5	1	no	—
1341	#103	—	5	1	no	—
1342	#103	—	5	1	no	—
1343	#103	C₂²×D₅	1	1	yes	characteristic, complemented
1344	#103	C₂²×D₅	1	1	yes	characteristic, complemented
1345	#103	C₂²×D₅	1	1	yes	characteristic, complemented
1346	#102	—	5	1	no	—
1347	#102	—	5	1	no	—
1348	#102	—	5	1	no	—
1349	#102	—	5	1	no	—
1350	#102	—	5	1	no	—
1351	#102	—	5	1	no	—
1352	#102	—	5	1	no	—
1353	#102	—	5	1	no	—
1354	#102	—	5	1	no	—
1355	#102	—	5	1	no	—
1356	#102	—	5	1	no	—
1357	#102	—	5	1	no	—
1358	#102	—	5	1	no	—
1359	#102	—	5	1	no	—
1360	#102	—	5	1	no	—
1361	#102	—	5	1	no	—
1362	#102	—	5	1	no	—
1363	#102	C₂²×D₅	1	1	yes	characteristic
1364	#102	C₂²×D₅	1	1	yes	characteristic
1365	#102	C₂²×D₅	1	1	yes	characteristic, complemented
1366	C₂²⋊C₈	—	5	1	no	—
1367	C₂²⋊C₈	—	5	1	no	—
1368	C₂²⋊C₈	—	5	1	no	—
1369	C₂²⋊C₈	—	5	1	no	—
1370	C₂²⋊C₈	—	5	1	no	—
1371	C₂²⋊C₈	—	5	1	no	—
1372	C₂²⋊C₈	—	5	1	no	—
1373	C₂²⋊C₈	—	5	1	no	—
1374	C₂²⋊C₈	—	5	1	no	—
1375	C₂²⋊C₈	—	5	1	no	—
1376	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1377	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic, complemented
1378	C₄×C₈	—	5	1	no	—
1379	C₄×C₈	—	5	1	no	—
1380	C₄×C₈	—	5	1	no	—
1381	C₄×C₈	C₂²×D₅	1	1	yes	characteristic, complemented
1382	C₂²×C₅	—	2	1	no	—
1383	C₂²×C₅	—	2	1	no	—
1384	C₂²×C₅	—	2	1	no	—
1385	C₂²×C₅	—	2	2	no	—
1386	C₂²×C₅	—	2	1	no	—
1387	C₂²×C₅	—	2	1	no	—
1388	C₂²×C₅	—	4	1	no	—
1389	C₂²×C₅	—	4	1	no	—
1390	C₂²×C₅	—	4	1	no	—
1391	C₂²×C₅	—	4	1	no	—
1392	C₂²×C₅	—	4	1	no	—
1393	C₂²×C₅	—	4	1	no	—
1394	C₂²×C₅	—	4	1	no	—
1395	C₂²×C₅	—	4	1	no	—
1396	C₂²×C₅	—	8	4	no	—
1397	C₂²×C₅	C₂×#135	1	2	yes	—
1398	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1399	C₂×D₅	—	2	1	no	—
1400	C₂×D₅	—	2	1	no	—
1401	C₂×D₅	—	2	1	no	—
1402	C₂×D₅	—	2	1	no	—
1403	C₂×D₅	—	2	1	no	—
1404	C₂×D₅	—	2	1	no	—
1405	C₂×D₅	—	2	2	no	—
1406	C₂×D₅	—	2	1	no	—
1407	C₂×D₅	—	4	4	no	—
1408	C₂×D₅	—	4	8	no	—
1409	C₂×D₅	—	4	1	no	—
1410	C₂×D₅	—	4	1	no	—
1411	C₂×D₅	—	4	1	no	—
1412	C₂×D₅	—	4	1	no	—
1413	C₂×D₅	—	4	1	no	—
1414	C₂×D₅	—	4	1	no	—
1415	C₂×D₅	—	4	1	no	—
1416	C₂×D₅	—	4	1	no	—
1417	C₂×D₅	—	8	2	no	—
1418	C₂×D₅	—	8	4	no	—
1419	C₂×D₅	—	8	4	no	—
1420	C₂×D₅	—	8	4	no	—
1421	C₂×D₅	—	8	4	no	—
1422	C₂×D₅	—	16	2	no	—
1423	C₂×D₅	C₂×#135	1	2	yes	—
1424	C₂×D₅	C₂×#135	1	2	yes	—
1425	C₄×C₅	—	2	1	no	—
1426	C₄×C₅	—	2	1	no	—
1427	C₄×C₅	—	2	1	no	—
1428	C₄×C₅	—	2	1	no	—
1429	C₄×C₅	—	4	1	no	—
1430	C₄×C₅	—	4	1	no	—
1431	C₄×C₅	—	4	1	no	—
1432	C₄×C₅	—	4	1	no	—
1433	C₄×C₅	—	4	1	no	—
1434	C₄×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1435	C₄×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1436	Dic₅	—	2	1	no	—
1437	Dic₅	—	2	1	no	—
1438	Dic₅	—	2	1	no	—
1439	Dic₅	—	2	1	no	—
1440	Dic₅	—	2	1	no	—
1441	Dic₅	—	4	1	no	—
1442	Dic₅	—	4	1	no	—
1443	Dic₅	—	4	1	no	—
1444	Dic₅	—	4	1	no	—
1445	Dic₅	—	4	1	no	—
1446	C₂⁴	—	2	1	no	—
1447	C₂⁴	—	5	1	no	—
1448	C₂⁴	—	5	1	no	—
1449	C₂⁴	—	10	1	no	—
1450	C₂⁴	—	10	1	no	—
1451	C₂⁴	—	10	1	no	—
1452	C₂⁴	—	10	1	no	—
1453	C₂⁴	—	10	1	no	—
1454	C₂⁴	—	10	1	no	—
1455	C₂⁴	—	20	4	no	—
1456	C₂⁴	—	20	4	no	—
1457	C₂⁴	—	40	2	no	—
1458	#41	—	2	2	no	—
1459	#41	—	4	1	no	—
1460	#41	—	4	1	no	—
1461	#41	—	4	1	no	—
1462	#41	—	10	2	no	—
1463	#41	—	10	2	no	—
1464	#41	—	10	2	no	—
1465	#41	—	20	1	no	—
1466	#41	—	20	4	no	—
1467	#41	—	20	1	no	—
1468	#41	—	20	1	no	—
1469	#41	—	20	1	no	—
1470	#41	—	20	1	no	—
1471	#41	—	20	4	no	—
1472	C₂×Q₈	—	2	1	no	—
1473	C₂×Q₈	—	4	1	no	—
1474	C₂×Q₈	—	4	1	no	—
1475	C₂×Q₈	—	5	1	no	—
1476	C₂×Q₈	—	10	1	no	—
1477	C₂×Q₈	—	20	1	no	—
1478	C₂×Q₈	—	20	1	no	—
1479	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1480	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1481	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1482	C₂×D₄	—	2	2	no	—
1483	C₂×D₄	—	2	1	no	—
1484	C₂×D₄	—	2	1	no	—
1485	C₂×D₄	—	2	1	no	—
1486	C₂×D₄	—	2	1	no	—
1487	C₂×D₄	—	2	1	no	—
1488	C₂×D₄	—	4	1	no	—
1489	C₂×D₄	—	5	1	no	—
1490	C₂×D₄	—	5	1	no	—
1491	C₂×D₄	—	5	1	no	—
1492	C₂×D₄	—	5	1	no	—
1493	C₂×D₄	—	5	1	no	—
1494	C₂×D₄	—	5	1	no	—
1495	C₂×D₄	—	10	2	no	—
1496	C₂×D₄	—	10	1	no	—
1497	C₂×D₄	—	10	1	no	—
1498	C₂×D₄	—	10	1	no	—
1499	C₂×D₄	—	10	1	no	—
1500	C₂×D₄	—	10	1	no	—
1501	C₂×D₄	—	10	1	no	—
1502	C₂×D₄	—	10	1	no	—
1503	C₂×D₄	—	10	1	no	—
1504	C₂×D₄	—	10	1	no	—
1505	C₂×D₄	—	10	2	no	—
1506	C₂×D₄	—	10	2	no	—
1507	C₂×D₄	—	10	4	no	—
1508	C₂×D₄	—	10	2	no	—
1509	C₂×D₄	—	10	2	no	—
1510	C₂×D₄	—	10	1	no	—
1511	C₂×D₄	—	10	1	no	—
1512	C₂×D₄	—	10	1	no	—
1513	C₂×D₄	—	10	1	no	—
1514	C₂×D₄	—	10	1	no	—
1515	C₂×D₄	—	10	1	no	—
1516	C₂×D₄	—	10	1	no	—
1517	C₂×D₄	—	10	1	no	—
1518	C₂×D₄	—	10	1	no	—
1519	C₂×D₄	—	20	1	no	—
1520	C₂×D₄	—	20	1	no	—
1521	C₂×D₄	—	20	1	no	—
1522	C₂×D₄	—	20	1	no	—
1523	C₂×D₄	—	20	1	no	—
1524	C₂×D₄	—	20	1	no	—
1525	C₂×D₄	—	20	1	no	—
1526	C₂×D₄	—	20	4	no	—
1527	C₂×D₄	—	20	4	no	—
1528	C₂×D₄	—	20	4	no	—
1529	C₂×D₄	—	20	4	no	—
1530	C₂×D₄	—	20	4	no	—
1531	C₂×D₄	—	40	2	no	—
1532	C₂×D₄	D₄×D₅	1	1	yes	characteristic
1533	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1534	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1535	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1536	C₂²×C₄	—	2	1	no	—
1537	C₂²×C₄	—	2	1	no	—
1538	C₂²×C₄	—	2	1	no	—
1539	C₂²×C₄	—	2	1	no	—
1540	C₂²×C₄	—	5	1	no	—
1541	C₂²×C₄	—	5	1	no	—
1542	C₂²×C₄	—	5	1	no	—
1543	C₂²×C₄	—	5	1	no	—
1544	C₂²×C₄	—	5	1	no	—
1545	C₂²×C₄	—	5	1	no	—
1546	C₂²×C₄	—	5	1	no	—
1547	C₂²×C₄	—	5	1	no	—
1548	C₂²×C₄	—	5	1	no	—
1549	C₂²×C₄	—	5	1	no	—
1550	C₂²×C₄	—	5	1	no	—
1551	C₂²×C₄	—	10	1	no	—
1552	C₂²×C₄	—	10	1	no	—
1553	C₂²×C₄	—	10	1	no	—
1554	C₂²×C₄	—	10	1	no	—
1555	C₂²×C₄	—	10	1	no	—
1556	C₂²×C₄	—	10	1	no	—
1557	C₂²×C₄	—	10	1	no	—
1558	C₂²×C₄	—	10	1	no	—
1559	C₂²×C₄	—	10	1	no	—
1560	C₂²×C₄	—	10	1	no	—
1561	C₂²×C₄	—	10	1	no	—
1562	C₂²×C₄	—	10	1	no	—
1563	C₂²×C₄	—	10	1	no	—
1564	C₂²×C₄	—	20	1	no	—
1565	C₂²×C₄	—	20	1	no	—
1566	C₂²×C₄	—	20	1	no	—
1567	C₂²×C₄	—	20	1	no	—
1568	C₂²×C₄	—	20	4	no	—
1569	C₂²×C₄	—	40	2	no	—
1570	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1571	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1572	Q₁₆	—	4	1	no	—
1573	Q₁₆	—	4	1	no	—
1574	Q₁₆	—	20	1	no	—
1575	Q₁₆	—	20	1	no	—
1576	SD₁₆	—	2	2	no	—
1577	SD₁₆	—	2	2	no	—
1578	SD₁₆	—	4	1	no	—
1579	SD₁₆	—	4	1	no	—
1580	SD₁₆	—	4	1	no	—
1581	SD₁₆	—	10	2	no	—
1582	SD₁₆	—	10	2	no	—
1583	SD₁₆	—	20	1	no	—
1584	SD₁₆	—	20	1	no	—
1585	SD₁₆	—	20	1	no	—
1586	SD₁₆	—	20	1	no	—
1587	SD₁₆	—	20	1	no	—
1588	D₈	—	2	2	no	—
1589	D₈	—	4	1	no	—
1590	D₈	—	10	2	no	—
1591	D₈	—	10	2	no	—
1592	D₈	—	10	2	no	—
1593	D₈	—	20	1	no	—
1594	D₈	—	20	1	no	—
1595	D₈	—	20	1	no	—
1596	C₂×C₈	—	4	1	no	—
1597	C₂×C₈	—	4	1	no	—
1598	C₂×C₈	—	5	1	no	—
1599	C₂×C₈	—	5	1	no	—
1600	C₂×C₈	—	5	1	no	—
1601	C₂×C₈	—	5	1	no	—
1602	C₂×C₈	—	20	1	no	—
1603	C₂×C₈	—	20	1	no	—
1604	C₂×C₈	—	20	1	no	—
1605	C₂×C₈	—	20	1	no	—
1606	C₂×C₈	—	20	1	no	—
1607	C₂×C₈	—	20	1	no	—
1608	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1609	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1610	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1611	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1612	C₄⋊C₄	—	2	1	no	—
1613	C₄⋊C₄	—	2	1	no	—
1614	C₄⋊C₄	—	2	1	no	—
1615	C₄⋊C₄	—	5	1	no	—
1616	C₄⋊C₄	—	5	1	no	—
1617	C₄⋊C₄	—	5	1	no	—
1618	C₄⋊C₄	—	5	1	no	—
1619	C₄⋊C₄	—	5	1	no	—
1620	C₄⋊C₄	—	5	1	no	—
1621	C₄⋊C₄	—	5	1	no	—
1622	C₄⋊C₄	—	10	1	no	—
1623	C₄⋊C₄	—	10	1	no	—
1624	C₄⋊C₄	—	10	1	no	—
1625	C₄⋊C₄	—	10	1	no	—
1626	C₄⋊C₄	—	10	1	no	—
1627	C₄⋊C₄	—	10	1	no	—
1628	C₄⋊C₄	—	10	1	no	—
1629	C₄⋊C₄	—	10	1	no	—
1630	C₄⋊C₄	—	10	1	no	—
1631	C₄⋊C₄	—	10	1	no	—
1632	C₄⋊C₄	—	10	1	no	—
1633	C₄⋊C₄	—	10	1	no	—
1634	C₄⋊C₄	—	10	1	no	—
1635	C₄⋊C₄	—	10	1	no	—
1636	C₄⋊C₄	—	10	1	no	—
1637	C₄⋊C₄	—	10	1	no	—
1638	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1639	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1640	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1641	C₂²⋊C₄	—	2	1	no	—
1642	C₂²⋊C₄	—	2	1	no	—
1643	C₂²⋊C₄	—	2	1	no	—
1644	C₂²⋊C₄	—	2	1	no	—
1645	C₂²⋊C₄	—	2	1	no	—
1646	C₂²⋊C₄	—	2	1	no	—
1647	C₂²⋊C₄	—	2	1	no	—
1648	C₂²⋊C₄	—	2	1	no	—
1649	C₂²⋊C₄	—	2	1	no	—
1650	C₂²⋊C₄	—	5	1	no	—
1651	C₂²⋊C₄	—	5	1	no	—
1652	C₂²⋊C₄	—	5	1	no	—
1653	C₂²⋊C₄	—	5	1	no	—
1654	C₂²⋊C₄	—	5	1	no	—
1655	C₂²⋊C₄	—	5	1	no	—
1656	C₂²⋊C₄	—	10	1	no	—
1657	C₂²⋊C₄	—	10	1	no	—
1658	C₂²⋊C₄	—	10	1	no	—
1659	C₂²⋊C₄	—	10	1	no	—
1660	C₂²⋊C₄	—	10	1	no	—
1661	C₂²⋊C₄	—	10	1	no	—
1662	C₂²⋊C₄	—	10	1	no	—
1663	C₂²⋊C₄	—	10	1	no	—
1664	C₂²⋊C₄	—	10	1	no	—
1665	C₂²⋊C₄	—	10	1	no	—
1666	C₂²⋊C₄	—	10	1	no	—
1667	C₂²⋊C₄	—	10	1	no	—
1668	C₂²⋊C₄	—	10	1	no	—
1669	C₂²⋊C₄	—	10	1	no	—
1670	C₂²⋊C₄	—	10	1	no	—
1671	C₂²⋊C₄	—	10	1	no	—
1672	C₂²⋊C₄	—	10	1	no	—
1673	C₂²⋊C₄	—	10	1	no	—
1674	C₂²⋊C₄	—	10	1	no	—
1675	C₂²⋊C₄	—	10	1	no	—
1676	C₂²⋊C₄	—	10	1	no	—
1677	C₂²⋊C₄	—	10	1	no	—
1678	C₂²⋊C₄	—	10	1	no	—
1679	C₂²⋊C₄	—	10	1	no	—
1680	C₂²⋊C₄	—	10	1	no	—
1681	C₂²⋊C₄	—	10	1	no	—
1682	C₂²⋊C₄	—	10	1	no	—
1683	C₂²⋊C₄	—	10	1	no	—
1684	C₂²⋊C₄	—	10	1	no	—
1685	C₂²⋊C₄	—	10	1	no	—
1686	C₂²⋊C₄	—	10	1	no	—
1687	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1688	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1689	C₄²	—	2	1	no	—
1690	C₄²	—	5	1	no	—
1691	C₄²	—	5	1	no	—
1692	C₄²	—	5	1	no	—
1693	C₄²	—	10	1	no	—
1694	C₄²	—	10	1	no	—
1695	C₄²	—	10	1	no	—
1696	C₄²	C₂³×D₅	1	1	yes	characteristic
1697	C₂×C₅	—	2	2	no	—
1698	C₂×C₅	—	4	2	no	—
1699	C₂×C₅	—	4	1	no	—
1700	C₂×C₅	—	8	1	no	—
1701	C₂×C₅	—	8	1	no	—
1702	C₂×C₅	#3484	1	1	yes	characteristic
1703	C₂×C₅	C₂²×#135	1	1	yes	characteristic
1704	C₂×C₅	#3585	1	1	yes	characteristic
1705	D₅	—	2	2	no	—
1706	D₅	—	2	2	no	—
1707	D₅	—	4	1	no	—
1708	D₅	—	4	2	no	—
1709	D₅	—	8	1	no	—
1710	D₅	—	8	1	no	—
1711	C₂³	—	2	1	no	—
1712	C₂³	—	2	1	no	—
1713	C₂³	—	2	1	no	—
1714	C₂³	—	4	2	no	—
1715	C₂³	—	4	2	no	—
1716	C₂³	—	5	1	no	—
1717	C₂³	—	5	1	no	—
1718	C₂³	—	5	4	no	—
1719	C₂³	—	5	1	no	—
1720	C₂³	—	8	1	no	—
1721	C₂³	—	10	2	no	—
1722	C₂³	—	10	4	no	—
1723	C₂³	—	10	1	no	—
1724	C₂³	—	10	1	no	—
1725	C₂³	—	10	1	no	—
1726	C₂³	—	20	1	no	—
1727	C₂³	—	20	1	no	—
1728	C₂³	—	20	1	no	—
1729	C₂³	—	20	1	no	—
1730	C₂³	—	20	2	no	—
1731	C₂³	—	20	2	no	—
1732	C₂³	—	20	2	no	—
1733	C₂³	—	20	2	no	—
1734	C₂³	—	20	2	no	—
1735	C₂³	—	20	2	no	—
1736	C₂³	—	20	2	no	—
1737	C₂³	—	20	2	no	—
1738	C₂³	—	20	2	no	—
1739	C₂³	—	20	2	no	—
1740	C₂³	—	20	2	no	—
1741	C₂³	—	20	2	no	—
1742	C₂³	—	40	1	no	—
1743	C₂³	—	40	1	no	—
1744	C₂³	—	40	1	no	—
1745	C₂³	—	40	1	no	—
1746	C₂³	—	40	1	no	—
1747	C₂³	—	40	16	no	—
1748	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1749	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1750	Q₈	—	2	1	no	—
1751	Q₈	—	2	1	no	—
1752	Q₈	—	2	1	no	—
1753	Q₈	—	2	1	no	—
1754	Q₈	—	2	1	no	—
1755	Q₈	—	2	1	no	—
1756	Q₈	—	8	1	no	—
1757	Q₈	—	10	1	no	—
1758	Q₈	—	10	1	no	—
1759	Q₈	—	20	2	no	—
1760	D₄	—	2	2	no	—
1761	D₄	—	2	1	no	—
1762	D₄	—	2	1	no	—
1763	D₄	—	2	1	no	—
1764	D₄	—	2	1	no	—
1765	D₄	—	2	1	no	—
1766	D₄	—	4	2	no	—
1767	D₄	—	4	2	no	—
1768	D₄	—	4	2	no	—
1769	D₄	—	5	2	no	—
1770	D₄	—	8	1	no	—
1771	D₄	—	8	1	no	—
1772	D₄	—	10	2	no	—
1773	D₄	—	10	2	no	—
1774	D₄	—	10	4	no	—
1775	D₄	—	10	2	no	—
1776	D₄	—	10	1	no	—
1777	D₄	—	10	1	no	—
1778	D₄	—	10	1	no	—
1779	D₄	—	10	1	no	—
1780	D₄	—	10	1	no	—
1781	D₄	—	20	2	no	—
1782	D₄	—	20	2	no	—
1783	D₄	—	20	2	no	—
1784	D₄	—	20	2	no	—
1785	D₄	—	20	2	no	—
1786	D₄	—	20	2	no	—
1787	D₄	—	20	2	no	—
1788	D₄	—	20	2	no	—
1789	D₄	—	20	2	no	—
1790	D₄	—	20	2	no	—
1791	D₄	—	40	1	no	—
1792	D₄	—	40	1	no	—
1793	D₄	—	40	1	no	—
1794	D₄	—	40	1	no	—
1795	D₄	—	40	1	no	—
1796	D₄	—	40	1	no	—
1797	D₄	—	40	1	no	—
1798	D₄	#4144	1	2	yes	—
1799	C₂×C₄	—	2	1	no	—
1800	C₂×C₄	—	2	1	no	—
1801	C₂×C₄	—	2	1	no	—
1802	C₂×C₄	—	2	1	no	—
1803	C₂×C₄	—	2	1	no	—
1804	C₂×C₄	—	2	1	no	—
1805	C₂×C₄	—	2	1	no	—
1806	C₂×C₄	—	2	1	no	—
1807	C₂×C₄	—	2	1	no	—
1808	C₂×C₄	—	4	2	no	—
1809	C₂×C₄	—	5	1	no	—
1810	C₂×C₄	—	5	1	no	—
1811	C₂×C₄	—	5	1	no	—
1812	C₂×C₄	—	5	1	no	—
1813	C₂×C₄	—	5	1	no	—
1814	C₂×C₄	—	8	1	no	—
1815	C₂×C₄	—	8	1	no	—
1816	C₂×C₄	—	8	1	no	—
1817	C₂×C₄	—	10	2	no	—
1818	C₂×C₄	—	10	1	no	—
1819	C₂×C₄	—	10	1	no	—
1820	C₂×C₄	—	10	1	no	—
1821	C₂×C₄	—	10	1	no	—
1822	C₂×C₄	—	10	1	no	—
1823	C₂×C₄	—	10	1	no	—
1824	C₂×C₄	—	10	1	no	—
1825	C₂×C₄	—	10	1	no	—
1826	C₂×C₄	—	10	1	no	—
1827	C₂×C₄	—	10	1	no	—
1828	C₂×C₄	—	10	1	no	—
1829	C₂×C₄	—	20	1	no	—
1830	C₂×C₄	—	20	1	no	—
1831	C₂×C₄	—	20	1	no	—
1832	C₂×C₄	—	20	1	no	—
1833	C₂×C₄	—	20	1	no	—
1834	C₂×C₄	—	20	2	no	—
1835	C₂×C₄	—	20	2	no	—
1836	C₂×C₄	—	20	2	no	—
1837	C₂×C₄	—	20	2	no	—
1838	C₂×C₄	—	20	2	no	—
1839	C₂×C₄	—	20	1	no	—
1840	C₂×C₄	—	20	1	no	—
1841	C₂×C₄	—	20	2	no	—
1842	C₂×C₄	—	40	1	no	—
1843	C₂×C₄	—	40	1	no	—
1844	C₂×C₄	—	40	1	no	—
1845	C₂×C₄	—	40	1	no	—
1846	C₂×C₄	—	40	1	no	—
1847	C₂×C₄	—	40	1	no	—
1848	C₂×C₄	—	40	1	no	—
1849	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1850	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1851	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1852	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1853	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1854	C₈	—	2	1	no	—
1855	C₈	—	2	1	no	—
1856	C₈	—	2	1	no	—
1857	C₈	—	2	1	no	—
1858	C₈	—	10	1	no	—
1859	C₈	—	10	1	no	—
1860	C₈	—	10	1	no	—
1861	C₈	—	10	1	no	—
1862	C₅	#61561	1	1	yes	characteristic, complemented, Sylow
1863	C₂²	—	2	1	no	—
1864	C₂²	—	2	1	no	—
1865	C₂²	—	2	1	no	—
1866	C₂²	—	2	2	no	—
1867	C₂²	—	2	1	no	—
1868	C₂²	—	2	1	no	—
1869	C₂²	—	4	1	no	—
1870	C₂²	—	4	1	no	—
1871	C₂²	—	4	1	no	—
1872	C₂²	—	4	1	no	—
1873	C₂²	—	4	1	no	—
1874	C₂²	—	4	1	no	—
1875	C₂²	—	4	1	no	—
1876	C₂²	—	4	1	no	—
1877	C₂²	—	5	2	no	—
1878	C₂²	—	5	2	no	—
1879	C₂²	—	8	4	no	—
1880	C₂²	—	10	1	no	—
1881	C₂²	—	10	1	no	—
1882	C₂²	—	10	1	no	—
1883	C₂²	—	10	1	no	—
1884	C₂²	—	10	1	no	—
1885	C₂²	—	10	2	no	—
1886	C₂²	—	10	1	no	—
1887	C₂²	—	10	1	no	—
1888	C₂²	—	20	4	no	—
1889	C₂²	—	20	8	no	—
1890	C₂²	—	20	1	no	—
1891	C₂²	—	20	1	no	—
1892	C₂²	—	20	1	no	—
1893	C₂²	—	20	1	no	—
1894	C₂²	—	20	1	no	—
1895	C₂²	—	20	1	no	—
1896	C₂²	—	20	1	no	—
1897	C₂²	—	20	1	no	—
1898	C₂²	—	40	4	no	—
1899	C₂²	—	40	2	no	—
1900	C₂²	—	40	4	no	—
1901	C₂²	—	40	4	no	—
1902	C₂²	—	40	4	no	—
1903	C₂²	—	80	2	no	—
1904	C₂²	D₅×#135	1	2	yes	—
1905	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1906	C₄	—	2	1	no	—
1907	C₄	—	2	1	no	—
1908	C₄	—	2	1	no	—
1909	C₄	—	2	1	no	—
1910	C₄	—	4	1	no	—
1911	C₄	—	4	1	no	—
1912	C₄	—	4	1	no	—
1913	C₄	—	4	1	no	—
1914	C₄	—	4	1	no	—
1915	C₄	—	10	1	no	—
1916	C₄	—	10	1	no	—
1917	C₄	—	10	1	no	—
1918	C₄	—	10	1	no	—
1919	C₄	—	10	1	no	—
1920	C₄	—	20	1	no	—
1921	C₄	—	20	1	no	—
1922	C₄	—	20	1	no	—
1923	C₄	—	20	1	no	—
1924	C₄	—	20	1	no	—
1925	C₄	C₂×#4144	1	1	yes	characteristic
1926	C₄	D₅×H(5,𝔽₂)	1	1	yes	characteristic
1927	C₂	—	2	2	no	—
1928	C₂	—	4	1	no	—
1929	C₂	—	4	2	no	—
1930	C₂	—	8	1	no	—
1931	C₂	—	8	1	no	—
1932	C₂	—	10	2	no	—
1933	C₂	—	10	2	no	—
1934	C₂	—	20	1	no	—
1935	C₂	—	20	2	no	—
1936	C₂	—	40	1	no	—
1937	C₂	—	40	1	no	—
1938	C₂	#10618521	1	1	yes	characteristic
1939	C₂	C₂×D₅×#135	1	1	yes	characteristic
1940	C₂	#10619108	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂²×D₄×D₅
commutator, cosocle	C₂×C₄×C₅	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₅
Fitting	C₅×#3282	C₂
socle	C₂²×C₅	C₂³×D₄
hypercenter	#3282	D₅
hypocenter	C₅	#61561
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #3282

Complements

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

N	H ≅ G/N	type
1. #10618639	C₂	semidirect
2. D₅×#546	C₂	semidirect
3. C₅×#3282	C₂	semidirect
4. #10615649	C₂	semidirect
5. #10615642	C₂	semidirect
6. #10615598	C₂	semidirect
7. C₂×#65458	C₂	semidirect
8. #10615276	C₂	semidirect
9. #10615226	C₂	semidirect
10. #10613562	C₂	semidirect
11. #10613556	C₂	semidirect
12. #10612412	C₂	semidirect
13. #10612402	C₂	semidirect
14. #10612395	C₂	semidirect
15. #10612394	C₂	semidirect
16. #10612346	C₂	semidirect
17. #10612336	C₂	semidirect
18. #10612288	C₂	semidirect
19. #10612236	C₂	semidirect
20. #10611977	C₂	semidirect
21. #10611957	C₂	semidirect
22. #10611938	C₂	semidirect
23. #10611918	C₂	semidirect
24. #10611832	C₂	semidirect
25. #10611820	C₂	semidirect
26. #10611746	C₂	semidirect
27. D₅×#447	C₂	semidirect
28. #10611408	C₂	semidirect
29. #10611385	C₂	semidirect
30. #10611172	C₂	semidirect
31. #10611157	C₂	semidirect
32. C₂×D₅×#41	C₂²	semidirect
34. C₂×C₅×#135	C₂²	semidirect
35. C₂²×C₅×SD₁₆	C₂²	semidirect
36. C₅×#548	C₂²	semidirect
37. C₅×#546	C₂²	semidirect
39. #66163	C₂²	semidirect
40. #66162	C₂²	semidirect
41. C₂×#4096	C₂²	semidirect
42. #66151	C₂²	semidirect
44. C₂²×#688	C₂²	semidirect
45. #66140	C₂²	semidirect
46. C₂×#4065	C₂²	semidirect
47. C₂×#4062	C₂²	semidirect
48. C₂×D₅×D₈	C₂²	semidirect
49. C₂×D₅×D₈	C₂²	semidirect
50. #66014	C₂²	semidirect
54. #66010	C₂²	semidirect
55. D₅×#124	C₂²	semidirect
58. #65973	C₂²	semidirect
61. #65964	C₂²	semidirect
62. #65961	C₂²	semidirect
64. #65952	C₂²	semidirect
70. D₅×#121	C₂²	semidirect
74. #65915	C₂²	semidirect
75. #65914	C₂²	semidirect
76. #65899	C₂²	semidirect
78. #65884	C₂²	semidirect
81. C₄×D₄×D₅	C₂²	semidirect
85. C₅×#495	C₂²	semidirect
86. C₅×#465	C₂²	semidirect
87. C₅×#465	C₂²	semidirect
88. C₅×#464	C₂²	semidirect
89. C₅×#463	C₂²	semidirect
90. C₅×#452	C₂²	semidirect
91. C₅×#451	C₂²	semidirect
92. C₅×#449	C₂²	semidirect
93. C₅×#447	C₂²	semidirect
94. C₄×C₅×SD₁₆	C₂²	semidirect
95. C₅×C₈×D₄	C₂²	semidirect
96. #65527	C₂²	semidirect
97. #65527	C₂²	semidirect
98. #65522	C₂²	semidirect
99. #65517	C₂²	semidirect
100. #65506	C₂²	semidirect
101. C₂×#3964	C₂²	semidirect
102. #65480	C₂²	semidirect
103. #65477	C₂²	semidirect
104. #65477	C₂²	semidirect
105. #65476	C₂²	semidirect
106. #65475	C₂²	semidirect
107. #65475	C₂²	semidirect
108. #65474	C₂²	semidirect
109. #65462	C₂²	semidirect
110. #65461	C₂²	semidirect
111. #65461	C₂²	semidirect
112. #65460	C₂²	semidirect
113. #65459	C₂²	semidirect
114. #65458	C₂²	semidirect
115. #65458	C₂²	semidirect
116. #65458	C₂²	semidirect
117. #65458	C₂²	semidirect
118. #65458	C₂²	semidirect
119. #65458	C₂²	semidirect
120. #65458	C₂²	semidirect
121. #65458	C₂²	semidirect
122. #65458	C₂²	semidirect
123. #65457	C₂²	semidirect
124. #65455	C₂²	semidirect
125. #65454	C₂²	semidirect
126. #65454	C₂²	semidirect
127. SD₁₆×Dic₅	C₂²	semidirect
128. #65447	C₂²	semidirect
129. #65446	C₂²	semidirect
132. #65442	C₂²	semidirect
133. D₈×Dic₅	C₂²	semidirect
134. #65404	C₂²	semidirect
135. #65403	C₂²	semidirect
136. #65402	C₂²	semidirect
137. C₂×#3953	C₂²	semidirect
138. C₈×C₂²⋊D₅	C₂²	semidirect
139. C₈×C₂²⋊D₅	C₂²	semidirect
141. C₂×#3952	C₂²	semidirect
142. #65348	C₂²	semidirect
143. #65346	C₂²	semidirect
144. #65346	C₂²	semidirect
145. #65345	C₂²	semidirect
146. #65337	C₂²	semidirect
147. #65337	C₂²	semidirect
148. #65336	C₂²	semidirect
149. #65333	C₂²	semidirect
150. #65330	C₂²	semidirect
151. #65327	C₂²	semidirect
152. #65325	C₂²	semidirect
153. #65324	C₂²	semidirect
154. #65317	C₂²	semidirect
155. C₄×#688	C₂²	semidirect
156. C₄×#686	C₂²	semidirect
157. D₄×#168	C₂²	semidirect
158. #65298	C₂²	semidirect
159. #65160	C₂²	semidirect
160. #65155	C₂²	semidirect
161. #65152	C₂²	semidirect
162. #65151	C₂²	semidirect
163. #65136	C₂²	semidirect
164. #65133	C₂²	semidirect
165. #65123	C₂²	semidirect
166. #65122	C₂²	semidirect
167. #65108	C₂²	semidirect
168. #65102	C₂²	semidirect
169. #65102	C₂²	semidirect
170. #65100	C₂²	semidirect
171. #65098	C₂²	semidirect
172. #65098	C₂²	semidirect
173. #65096	C₂²	semidirect
174. #65095	C₂²	semidirect
175. #65094	C₂²	semidirect
176. #65093	C₂²	semidirect
177. #65089	C₂²	semidirect
178. #65077	C₂²	semidirect
179. #65073	C₂²	semidirect
180. #65066	C₂²	semidirect
181. #65065	C₂²	semidirect
182. #65064	C₂²	semidirect
185. #65061	C₂²	semidirect
186. D₅×#102	C₂²	semidirect
187. D₅×#102	C₂²	semidirect
188. #65057	C₂²	semidirect
189. #65055	C₂²	semidirect
190. #65045	C₂²	semidirect
191. #65026	C₂²	semidirect
192. #65023	C₂²	semidirect
193. #65021	C₂²	semidirect
194. #65014	C₂²	semidirect
195. #65014	C₂²	semidirect
197. D₅×C₂²⋊C₈	C₂²	semidirect
198. #65011	C₂²	semidirect
199. #64986	C₂²	semidirect
200. C₄×D₄₀	C₂²	semidirect
201. C₈×D₂₀	C₂²	semidirect
202. #64974	C₂²	semidirect
206. C₂×C₅×#41	C₂³	semidirect
213. C₂×#713	C₂³	semidirect
238. C₂×C₅×Q₁₆	C₂³	semidirect
239. C₂×C₅×Q₁₆	C₂³	semidirect
245. C₂×C₅×SD₁₆	C₂³	semidirect
249. C₂²×C₅×C₈	C₂³	semidirect
252. C₅×#124	C₂³	semidirect
256. C₅×C₂²⋊Q₈	C₂³	semidirect
262. C₄×C₅×Q₈	C₂³	semidirect
272. #4093	C₂³	semidirect
281. #4092	C₂³	semidirect
282. Q₈×Dic₅	C₂³	semidirect
283. C₂×#689	C₂³	semidirect
284. C₂×#689	C₂³	semidirect
290. C₂×#688	C₂³	semidirect
301. #4084	C₂³	semidirect
313. D₄×Dic₅	C₂³	semidirect
314. C₂×#687	C₂³	semidirect
323. #4076	C₂³	semidirect
336. #4072	C₂³	semidirect
341. C₂²×#168	C₂³	semidirect
348. C₂×#677	C₂³	semidirect
351. C₂×C₈×D₅	C₂³	semidirect
352. C₂×C₈×D₅	C₂³	semidirect
369. #4038	C₂³	semidirect
374. #4036	C₂³	semidirect
426. C₄×D₂₀	C₂³	semidirect
430. #4016	C₂³	semidirect
431. C₅×#106	C₂³	semidirect
432. C₅×C₄⋊C₈	C₂³	semidirect
433. C₅×#103	C₂³	semidirect
434. C₅×#103	C₂³	semidirect
435. C₅×#103	C₂³	semidirect
438. C₅×#102	C₂³	semidirect
440. C₅×C₂²⋊C₈	C₂³	semidirect
441. C₄×C₅×C₈	C₂³	semidirect
442. #3967	C₂³	semidirect
443. #3967	C₂³	semidirect
444. #3967	C₂³	semidirect
445. #3967	C₂³	semidirect
446. #3967	C₂³	semidirect
453. #3964	C₂³	semidirect
455. C₂²⋊#168	C₂³	semidirect
462. #3953	C₂³	semidirect
469. #3952	C₂³	semidirect
470. #3952	C₂³	semidirect
471. #3950	C₂³	semidirect
472. #3950	C₂³	semidirect
473. #3949	C₂³	semidirect
474. #3948	C₂³	semidirect
475. #3948	C₂³	semidirect
476. #3948	C₂³	semidirect
477. #3946	C₂³	semidirect
478. #3946	C₂³	semidirect
479. C₈×Dic₅	C₂³	semidirect
480. C₈×Dic₅	C₂³	semidirect
481. #3942	C₂³	semidirect
484. #3941	C₂³	semidirect
485. #3940	C₂³	semidirect
486. #3940	C₂³	semidirect
487. #3939	C₂³	semidirect
488. #3939	C₂³	semidirect
489. C₄⋊#168	C₂³	semidirect
490. C₄×#168	C₂³	semidirect
504. #3282	D₅	semidirect
778. C₂×#135	C₂×D₅	semidirect
780. C₂²×SD₁₆	C₂×D₅	semidirect
792. #548	C₂×D₅	semidirect
806. #546	C₂×D₅	semidirect
829. #495	C₂×D₅	semidirect
864. #465	C₂×D₅	semidirect
865. #465	C₂×D₅	semidirect
869. #464	C₂×D₅	semidirect
877. #463	C₂×D₅	semidirect
881. #452	C₂×D₅	semidirect
885. #451	C₂×D₅	semidirect
903. #449	C₂×D₅	semidirect
913. #447	C₂×D₅	semidirect
917. C₄×SD₁₆	C₂×D₅	semidirect
929. C₈×D₄	C₂×D₅	semidirect
979. C₂²×D₅	#135	semidirect
1105. C₂×#41	C₂²×D₅	semidirect
1134. C₂×Q₁₆	C₂²×D₅	semidirect
1135. C₂×Q₁₆	C₂²×D₅	semidirect
1149. C₂×SD₁₆	C₂²×D₅	semidirect
1167. C₂²×C₈	C₂²×D₅	semidirect
1187. #124	C₂²×D₅	semidirect
1221. C₂²⋊Q₈	C₂²×D₅	semidirect
1263. C₄×Q₈	C₂²×D₅	semidirect
1329. #106	C₂²×D₅	semidirect
1333. C₄⋊C₈	C₂²×D₅	semidirect
1343. #103	C₂²×D₅	semidirect
1344. #103	C₂²×D₅	semidirect
1345. #103	C₂²×D₅	semidirect
1365. #102	C₂²×D₅	semidirect
1377. C₂²⋊C₈	C₂²×D₅	semidirect
1381. C₄×C₈	C₂²×D₅	semidirect
1862. C₅	#61561	semidirect

Maximal subgroups

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

subgroup	index
#10618639	2
D₅×#546	2
C₅×#3282	2
#10615649	2
#10615642	2
#10615598	2
C₂×#65458	2
#10615276	2
#10615226	2
#10613562	2
#10613556	2
#10612412	2
#10612402	2
#10612395	2
#10612394	2
#10612346	2
#10612336	2
#10612288	2
#10612236	2
#10611977	2
#10611957	2
#10611938	2
#10611918	2
#10611832	2
#10611820	2
#10611746	2
D₅×#447	2
#10611408	2
#10611385	2
#10611172	2
#10611157	2
#61561	5