Subgroups — #12984859

Order 1280.

2290 conjugacy classes of subgroups.

The subgroup lattice has 1992 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10618464	C₂	1	1	yes	maximal, characteristic, complemented
2	#10617768	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#3118	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615194	C₂	1	1	yes	maximal, characteristic, complemented
5	#10614273	C₂	1	1	yes	maximal, characteristic, complemented
6	#10613273	C₂	1	1	yes	maximal, characteristic, complemented
7	#10613271	C₂	1	1	yes	maximal, characteristic, complemented
8	#10613131	C₂	1	1	yes	maximal, characteristic, complemented
9	#10613110	C₂	1	1	yes	maximal, characteristic, complemented
10	#10612810	C₂	1	1	yes	maximal, characteristic, complemented
11	#10612808	C₂	1	1	yes	maximal, characteristic, complemented
12	#10612714	C₂	1	1	yes	maximal, characteristic, complemented
13	#10612711	C₂	1	1	yes	maximal, characteristic, complemented
14	#10612288	C₂	1	1	yes	maximal, characteristic, complemented
15	#10612286	C₂	1	1	yes	maximal, characteristic, complemented
16	#10612283	C₂	1	1	yes	maximal, characteristic, complemented
17	#10612283	C₂	1	1	yes	maximal, characteristic, complemented
18	#10611880	C₂	1	1	yes	maximal, characteristic, complemented
19	#10611877	C₂	1	1	yes	maximal, characteristic, complemented
20	#10611735	C₂	1	1	yes	maximal, characteristic, complemented
21	D₅×#447	C₂	1	1	yes	maximal, characteristic, complemented
22	#10611613	C₂	1	1	yes	maximal, characteristic, complemented
23	#10611609	C₂	1	1	yes	maximal, characteristic, complemented
24	#10611531	C₂	1	1	yes	maximal, characteristic, complemented
25	#10611527	C₂	1	1	yes	maximal, characteristic, complemented
26	#10611408	C₂	1	1	yes	maximal, characteristic, complemented
27	#10611401	C₂	1	1	yes	maximal, characteristic, complemented
28	#10611342	C₂	1	1	yes	maximal, characteristic, complemented
29	D₈×D₂₀	C₂	1	1	yes	maximal, characteristic, complemented
30	#10611121	C₂	1	1	yes	maximal, characteristic, complemented
31	#10611107	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#4144	C₂²	1	1	yes	characteristic, complemented
33	C₂²×D₄×D₅	C₂²	1	1	yes	characteristic, complemented
34	C₅×#542	C₂²	1	1	yes	characteristic, complemented
35	C₅×#518	C₂²	1	1	yes	characteristic, complemented
36	C₂×#4062	C₂²	1	1	yes	characteristic, complemented
37	C₂×#4060	C₂²	1	1	yes	characteristic, complemented
38	C₂×#4060	C₂²	1	1	yes	characteristic, complemented
39	C₂×#4060	C₂²	1	1	yes	characteristic, complemented
40	C₂×#4057	C₂²	1	1	yes	characteristic, complemented
41	C₂×D₅×D₈	C₂²	1	1	yes	characteristic, complemented
42	C₂×D₅×D₈	C₂²	1	1	yes	characteristic, complemented
43	C₂×D₅×D₈	C₂²	1	1	yes	characteristic, complemented
44	#66068	C₂²	1	1	yes	characteristic, complemented
45	#66060	C₂²	1	1	yes	characteristic, complemented
46	#66045	—	2	1	no	—
47	#66039	—	2	1	no	—
48	#66012	—	2	1	no	—
49	#66010	C₂²	1	1	yes	characteristic, complemented
50	#66010	C₂²	1	1	yes	characteristic, complemented
51	#66008	—	2	1	no	—
52	#65997	—	2	1	no	—
53	#65987	—	2	1	no	—
54	#65981	—	2	1	no	—
55	#65964	—	2	1	no	—
56	#65963	C₂²	1	1	yes	characteristic, complemented
57	#65961	C₂²	1	1	yes	characteristic, complemented
58	#65941	C₂²	1	1	yes	characteristic, complemented
59	D₅×#121	C₂²	1	1	yes	characteristic, complemented
60	#65915	C₂²	1	1	yes	characteristic, complemented
61	#65911	C₂²	1	1	yes	characteristic, complemented
62	#65892	C₂²	1	1	yes	characteristic, complemented
63	#65888	—	2	1	no	—
64	#65888	—	2	1	no	—
65	#65888	C₂²	1	1	yes	characteristic
66	#65888	C₂²	1	1	yes	characteristic, complemented
67	#65888	C₂²	1	1	yes	characteristic, complemented
68	#65888	C₂²	1	1	yes	characteristic, complemented
69	D₄×D₂₀	—	2	1	no	—
70	D₄×D₂₀	—	2	1	no	—
71	D₄×D₂₀	C₂²	1	1	yes	characteristic
72	D₄×D₂₀	C₂²	1	1	yes	characteristic, complemented
73	D₄×D₂₀	C₂²	1	1	yes	characteristic, complemented
74	D₄×D₂₀	C₂²	1	1	yes	characteristic, complemented
75	D₄×D₂₀	C₂²	1	1	yes	characteristic, complemented
76	#65869	C₂²	1	1	yes	characteristic, complemented
77	#65859	C₂²	1	1	yes	characteristic, complemented
78	#65859	C₂²	1	1	yes	characteristic, complemented
79	#65858	C₂²	1	1	yes	characteristic
80	#65858	C₂²	1	1	yes	characteristic, complemented
81	#65827	—	2	1	no	—
82	#65827	—	2	1	no	—
83	C₂×#4028	—	2	1	no	—
84	C₂×#4028	—	2	1	no	—
85	C₅×#485	C₂²	1	1	yes	characteristic, complemented
86	C₅×#482	C₂²	1	1	yes	characteristic, complemented
87	C₅×#476	C₂²	1	1	yes	characteristic, complemented
88	C₅×#474	C₂²	1	1	yes	characteristic, complemented
89	C₅×#463	C₂²	1	1	yes	characteristic, complemented
90	C₅×#463	C₂²	1	1	yes	characteristic, complemented
91	C₅×#450	C₂²	1	1	yes	characteristic, complemented
92	C₅×#447	C₂²	1	1	yes	characteristic
93	C₅×#442	C₂²	1	1	yes	characteristic, complemented
94	C₅×#440	C₂²	1	1	yes	characteristic, complemented
95	C₄×C₅×SD₁₆	C₂²	1	1	yes	characteristic, complemented
96	C₄×C₅×D₈	C₂²	1	1	yes	characteristic, complemented
97	C₅×#433	C₂²	1	1	yes	characteristic, complemented
98	#65506	C₂²	1	1	yes	characteristic, complemented
99	#65506	C₂²	1	1	yes	characteristic, complemented
100	#65462	C₂²	1	1	yes	characteristic, complemented
101	#65458	C₂²	1	1	yes	characteristic, complemented
102	#65458	C₂²	1	1	yes	characteristic, complemented
103	#65458	C₂²	1	1	yes	characteristic, complemented
104	#65447	C₂²	1	1	yes	characteristic, complemented
105	#65445	C₂²	1	1	yes	characteristic, complemented
106	#65445	C₂²	1	1	yes	characteristic, complemented
107	#65445	C₂²	1	1	yes	characteristic, complemented
108	#65378	C₂²	1	1	yes	characteristic, complemented
109	#65377	C₂²	1	1	yes	characteristic, complemented
110	#65348	C₂²	1	1	yes	characteristic, complemented
111	#65347	C₂²	1	1	yes	characteristic, complemented
112	#65336	C₂²	1	1	yes	characteristic, complemented
113	#65335	C₂²	1	1	yes	characteristic, complemented
114	#65326	C₂²	1	1	yes	characteristic, complemented
115	#65325	C₂²	1	1	yes	characteristic, complemented
116	#65317	C₂²	1	1	yes	characteristic, complemented
117	#65316	C₂²	1	1	yes	characteristic, complemented
118	#65305	C₂²	1	1	yes	characteristic, complemented
119	#65304	C₂²	1	1	yes	characteristic, complemented
120	#65304	C₂²	1	1	yes	characteristic, complemented
121	#65304	C₂²	1	1	yes	characteristic, complemented
122	#65303	C₂²	1	1	yes	characteristic, complemented
123	#65303	C₂²	1	1	yes	characteristic, complemented
124	C₄×#686	C₂²	1	1	yes	characteristic, complemented
125	C₄×#686	C₂²	1	1	yes	characteristic, complemented
126	#65298	C₂²	1	1	yes	characteristic, complemented
127	#65298	C₂²	1	1	yes	characteristic, complemented
128	#65292	C₂²	1	1	yes	characteristic, complemented
129	#65292	C₂²	1	1	yes	characteristic, complemented
130	#65289	C₂²	1	1	yes	characteristic, complemented
131	#65177	C₂²	1	1	yes	characteristic, complemented
132	#65175	C₂²	1	1	yes	characteristic, complemented
133	#65174	C₂²	1	1	yes	characteristic, complemented
134	#65172	C₂²	1	1	yes	characteristic, complemented
135	#65172	C₂²	1	1	yes	characteristic, complemented
136	#65172	C₂²	1	1	yes	characteristic, complemented
137	#65171	C₂²	1	1	yes	characteristic, complemented
138	#65171	C₂²	1	1	yes	characteristic, complemented
139	#65155	C₂²	1	1	yes	characteristic, complemented
140	#65155	C₂²	1	1	yes	characteristic, complemented
141	#65154	C₂²	1	1	yes	characteristic, complemented
142	#65154	C₂²	1	1	yes	characteristic, complemented
143	#65154	C₂²	1	1	yes	characteristic, complemented
144	#65153	C₂²	1	1	yes	characteristic, complemented
145	#65152	C₂²	1	1	yes	characteristic, complemented
146	#65151	C₂²	1	1	yes	characteristic, complemented
147	#65133	C₂²	1	1	yes	characteristic, complemented
148	#65133	C₂²	1	1	yes	characteristic, complemented
149	#65132	C₂²	1	1	yes	characteristic, complemented
150	#65132	C₂²	1	1	yes	characteristic, complemented
151	#65127	C₂²	1	1	yes	characteristic, complemented
152	#65125	C₂²	1	1	yes	characteristic, complemented
153	#65125	C₂²	1	1	yes	characteristic, complemented
154	#65123	C₂²	1	1	yes	characteristic, complemented
155	#65102	C₂²	1	1	yes	characteristic, complemented
156	#65101	C₂²	1	1	yes	characteristic, complemented
157	#65100	C₂²	1	1	yes	characteristic, complemented
158	#65100	C₂²	1	1	yes	characteristic, complemented
159	#65100	C₂²	1	1	yes	characteristic, complemented
160	#65099	C₂²	1	1	yes	characteristic, complemented
161	#65096	C₂²	1	1	yes	characteristic, complemented
162	#65096	C₂²	1	1	yes	characteristic, complemented
163	#65071	C₂²	1	1	yes	characteristic, complemented
164	#65071	C₂²	1	1	yes	characteristic, complemented
165	#65070	C₂²	1	1	yes	characteristic, complemented
166	#65070	C₂²	1	1	yes	characteristic, complemented
167	#65069	C₂²	1	1	yes	characteristic, complemented
168	#65065	C₂²	1	1	yes	characteristic, complemented
169	#65064	C₂²	1	1	yes	characteristic, complemented
170	#65062	C₂²	1	1	yes	characteristic, complemented
171	#65062	C₂²	1	1	yes	characteristic, complemented
172	#65062	C₂²	1	1	yes	characteristic, complemented
173	#65062	C₂²	1	1	yes	characteristic, complemented
174	#65062	C₂²	1	1	yes	characteristic, complemented
175	#65062	C₂²	1	1	yes	characteristic, complemented
176	#65062	C₂²	1	1	yes	characteristic, complemented
177	#65062	C₂²	1	1	yes	characteristic, complemented
178	#65062	C₂²	1	1	yes	characteristic, complemented
179	#65061	C₂²	1	1	yes	characteristic, complemented
180	#65060	C₂²	1	1	yes	characteristic, complemented
181	#65059	C₂²	1	1	yes	characteristic, complemented
182	#65059	C₂²	1	1	yes	characteristic, complemented
183	#65059	C₂²	1	1	yes	characteristic, complemented
184	D₅×#102	C₂²	1	1	yes	characteristic, complemented
185	D₅×#102	C₂²	1	1	yes	characteristic, complemented
186	D₅×#102	C₂²	1	1	yes	characteristic, complemented
187	#65023	C₂²	1	1	yes	characteristic, complemented
188	#65023	C₂²	1	1	yes	characteristic, complemented
189	#65021	C₂²	1	1	yes	characteristic, complemented
190	#65021	C₂²	1	1	yes	characteristic, complemented
191	#65016	C₂²	1	1	yes	characteristic, complemented
192	#65016	C₂²	1	1	yes	characteristic, complemented
193	#65015	C₂²	1	1	yes	characteristic, complemented
194	D₅×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
195	#65002	C₂²	1	1	yes	characteristic, complemented
196	#65001	C₂²	1	1	yes	characteristic, complemented
197	#64995	C₂²	1	1	yes	characteristic, complemented
198	#64995	C₂²	1	1	yes	characteristic, complemented
199	#64986	C₂²	1	1	yes	characteristic, complemented
200	#64984	C₂²	1	1	yes	characteristic, complemented
201	#64977	C₂²	1	1	yes	characteristic, complemented
202	C₈×D₂₀	C₂²	1	1	yes	characteristic, complemented
203	#61609	—	5	1	no	maximal, Sylow
204	C₂⁴×D₅	—	2	1	no	—
205	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
206	C₂²×C₂²⋊D₅	—	2	1	no	—
207	C₂²×C₂²⋊D₅	—	2	1	no	—
208	C₂²×C₂²⋊D₅	—	2	1	no	—
209	C₂×#713	—	2	1	no	—
210	C₂×#713	C₂³	1	1	yes	characteristic
211	C₂×#713	C₂³	1	1	yes	characteristic, complemented
212	#4144	—	4	2	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×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	—	4	2	no	—
222	C₂×D₄×D₅	—	4	2	no	—
223	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
224	C₂×D₄×D₅	C₂³	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×D₄×D₅	C₂³	1	1	yes	characteristic, complemented
231	C₂×#709	C₂³	1	1	yes	characteristic
232	C₂×#709	C₂³	1	1	yes	characteristic
233	C₂²×D₂₀	—	2	1	no	—
234	C₂²×D₂₀	—	2	1	no	—
235	C₂²×D₂₀	—	2	1	no	—
236	C₂²×D₂₀	—	2	1	no	—
237	C₂²×D₂₀	—	2	1	no	—
238	C₂²×D₂₀	C₂³	1	1	yes	characteristic
239	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
240	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
241	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
242	C₂×C₅×D₈	C₂³	1	1	yes	characteristic
243	C₂×C₅×D₈	C₂³	1	1	yes	characteristic
244	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic, complemented
245	C₅×#126	—	2	1	no	—
246	C₅×#124	—	2	1	no	—
247	C₅×#124	C₂³	1	1	yes	characteristic, complemented
248	C₅×#123	—	2	1	no	—
249	C₅×C₂²⋊Q₈	—	2	1	no	—
250	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
251	C₅×#121	C₂³	1	1	yes	characteristic
252	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic, complemented
253	C₄×C₅×D₄	—	2	1	no	—
254	C₄×C₅×D₄	—	2	1	no	—
255	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
256	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
257	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
258	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
259	C₄×C₅×D₄	C₂³	1	1	yes	characteristic, complemented
260	C₅×#117	C₂³	1	1	yes	characteristic
261	C₅×#117	C₂³	1	1	yes	characteristic
262	C₂×C₅×C₂²⋊C₄	—	2	1	no	—
263	C₂×C₅×C₂²⋊C₄	—	2	1	no	—
264	#4093	—	2	1	no	—
265	#4093	—	2	1	no	—
266	#4092	—	2	1	no	—
267	#4092	C₂³	1	1	yes	characteristic
268	#4092	C₂³	1	1	yes	characteristic, complemented
269	C₂×#689	C₂³	1	1	yes	characteristic, complemented
270	C₂×#688	C₂³	1	1	yes	characteristic
271	C₂×#688	C₂³	1	1	yes	characteristic
272	C₂×#688	C₂³	1	1	yes	characteristic, complemented
273	#4086	—	2	1	no	—
274	#4085	—	2	1	no	—
275	#4084	C₂³	1	1	yes	characteristic
276	#4084	C₂³	1	1	yes	characteristic, complemented
277	#4083	—	2	1	no	—
278	C₂×#687	C₂³	1	1	yes	characteristic, complemented
279	C₂×#686	C₂³	1	1	yes	characteristic
280	C₂×#686	C₂³	1	1	yes	characteristic
281	C₂×#686	C₂³	1	1	yes	characteristic
282	C₂×#686	C₂³	1	1	yes	characteristic
283	C₂×#686	C₂³	1	1	yes	characteristic
284	C₂×#686	C₂³	1	1	yes	characteristic
285	C₂×#686	C₂³	1	1	yes	characteristic, complemented
286	#4076	—	2	1	no	—
287	#4076	—	2	1	no	—
288	#4076	—	2	1	no	—
289	#4076	—	2	1	no	—
290	#4076	—	2	1	no	—
291	#4076	—	2	1	no	—
292	#4076	—	2	1	no	—
293	#4076	—	2	1	no	—
294	#4076	—	2	1	no	—
295	#4076	C₂³	1	1	yes	characteristic
296	#4076	C₂³	1	1	yes	characteristic
297	#4075	—	2	1	no	—
298	C₄×C₂²⋊D₅	—	2	1	no	—
299	C₂×#685	—	2	1	no	—
300	C₂×#685	—	2	1	no	—
301	C₂×#685	—	2	1	no	—
302	C₂×#685	—	2	1	no	—
303	#4062	—	4	2	no	—
304	#4060	—	4	2	no	—
305	#4060	—	4	2	no	—
306	#4060	—	4	2	no	—
307	#4057	—	4	2	no	—
308	D₅×D₈	—	4	2	no	—
309	D₅×D₈	—	4	2	no	—
310	D₅×D₈	—	4	2	no	—
311	C₂×D₄₀	C₂³	1	1	yes	characteristic
312	C₂×D₄₀	C₂³	1	1	yes	characteristic
313	C₂×D₄₀	C₂³	1	1	yes	characteristic
314	C₂×D₄₀	C₂³	1	1	yes	characteristic
315	C₂×D₄₀	C₂³	1	1	yes	characteristic, complemented
316	C₂×D₄₀	C₂³	1	1	yes	characteristic, complemented
317	C₂×#677	C₂³	1	1	yes	characteristic, complemented
318	C₂×#677	C₂³	1	1	yes	characteristic, complemented
319	C₂×#676	C₂³	1	1	yes	characteristic
320	C₂×#676	C₂³	1	1	yes	characteristic
321	C₂×#676	C₂³	1	1	yes	characteristic, complemented
322	C₂×#676	C₂³	1	1	yes	characteristic, complemented
323	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
324	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
325	C₂×C₈×D₅	C₂³	1	1	yes	characteristic, complemented
326	C₂×C₈×D₅	C₂³	1	1	yes	characteristic, complemented
327	#4043	D₄	1	1	yes	characteristic
328	#4043	D₄	1	1	yes	characteristic
329	#4043	C₂³	1	1	yes	characteristic
330	#4043	C₂³	1	1	yes	characteristic
331	#4042	—	2	1	no	—
332	#4041	—	2	1	no	—
333	#4041	—	2	1	no	—
334	#4041	—	2	1	no	—
335	#4041	—	2	1	no	—
336	#4041	—	2	1	no	—
337	#4041	—	2	1	no	—
338	#4041	D₄	1	1	yes	characteristic
339	#4041	D₄	1	1	yes	characteristic
340	#4041	C₂³	1	1	yes	characteristic
341	#4041	C₂³	1	1	yes	characteristic
342	#4041	C₂³	1	1	yes	characteristic
343	#4041	C₂³	1	1	yes	characteristic
344	#4041	C₂³	1	1	yes	characteristic
345	#4041	C₂³	1	1	yes	characteristic
346	#4041	C₂³	1	1	yes	characteristic
347	#4041	C₂³	1	1	yes	characteristic
348	#4041	C₂³	1	1	yes	characteristic, complemented
349	#4041	C₂³	1	1	yes	characteristic, complemented
350	#4040	—	2	1	no	—
351	#4040	—	2	1	no	—
352	#4040	—	2	1	no	—
353	#4040	—	2	1	no	—
354	#4040	—	2	1	no	—
355	#4040	—	2	1	no	—
356	#4039	—	2	1	no	—
357	#4038	—	2	1	no	—
358	#4038	C₂³	1	1	yes	characteristic
359	#4038	C₂³	1	1	yes	characteristic, complemented
360	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
361	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
362	#4035	—	2	1	no	—
363	#4032	—	2	1	no	—
364	#4032	—	2	1	no	—
365	#4032	—	2	1	no	—
366	#4032	—	2	1	no	—
367	#4032	—	2	1	no	—
368	#4032	D₄	1	1	yes	characteristic
369	#4032	D₄	1	1	yes	characteristic
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	—	2	1	no	—
376	#4030	—	2	1	no	—
377	#4030	—	2	1	no	—
378	#4030	—	2	1	no	—
379	#4029	—	2	1	no	—
380	#4029	—	2	1	no	—
381	#4028	—	2	1	no	—
382	#4028	—	2	1	no	—
383	#4028	—	2	1	no	—
384	#4028	—	2	1	no	—
385	#4028	—	2	1	no	—
386	#4028	—	2	1	no	—
387	#4028	—	2	1	no	—
388	#4028	—	2	1	no	—
389	#4028	—	2	1	no	—
390	#4028	—	2	1	no	—
391	#4028	—	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	#4028	—	2	1	no	—
398	#4028	—	2	1	no	—
399	#4028	—	2	1	no	—
400	#4028	—	2	1	no	—
401	#4028	—	2	1	no	—
402	#4028	—	2	1	no	—
403	#4028	—	2	1	no	—
404	#4028	D₄	1	1	yes	characteristic
405	#4028	D₄	1	1	yes	characteristic
406	#4027	—	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	#4025	—	2	1	no	—
411	#4022	—	2	1	no	—
412	#4021	—	2	1	no	—
413	#4021	C₂³	1	1	yes	characteristic
414	#4021	C₂³	1	1	yes	characteristic
415	#4020	—	2	1	no	—
416	#4020	—	2	1	no	—
417	#4020	C₂³	1	1	yes	characteristic
418	#4020	C₂³	1	1	yes	characteristic
419	#4020	C₂³	1	1	yes	characteristic, complemented
420	C₄×D₂₀	—	2	1	no	—
421	C₄×D₂₀	—	2	1	no	—
422	C₄×D₂₀	—	2	1	no	—
423	C₄×D₂₀	C₂³	1	1	yes	characteristic
424	C₄×D₂₀	C₂³	1	1	yes	characteristic
425	C₄×D₂₀	C₂³	1	1	yes	characteristic
426	C₄×D₂₀	C₂³	1	1	yes	characteristic
427	C₄×D₂₀	C₂³	1	1	yes	characteristic, complemented
428	C₄×D₂₀	C₂³	1	1	yes	characteristic, complemented
429	#4018	—	2	1	no	—
430	#4016	C₂³	1	1	yes	characteristic, complemented
431	C₅×#107	C₂³	1	1	yes	characteristic, complemented
432	C₅×#107	C₂³	1	1	yes	characteristic, complemented
433	C₅×#106	C₂³	1	1	yes	characteristic, complemented
434	C₅×#106	C₂³	1	1	yes	characteristic, complemented
435	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic, complemented
436	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic, complemented
437	C₅×#103	C₂³	1	1	yes	characteristic, complemented
438	C₅×#103	C₂³	1	1	yes	characteristic, complemented
439	C₅×#102	C₂³	1	1	yes	characteristic
440	C₅×#102	C₂³	1	1	yes	characteristic
441	C₅×#102	C₂³	1	1	yes	characteristic
442	C₅×#102	C₂³	1	1	yes	characteristic
443	C₅×#102	C₂³	1	1	yes	characteristic, complemented
444	C₅×#102	C₂³	1	1	yes	characteristic, complemented
445	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
446	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
447	C₅×#97	C₂³	1	1	yes	characteristic, complemented
448	C₄×C₅×C₈	C₂³	1	1	yes	characteristic, complemented
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	C₂²⋊#168	C₂³	1	1	yes	characteristic
454	C₂²⋊#168	C₂³	1	1	yes	characteristic
455	#3953	C₂³	1	1	yes	characteristic
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, complemented
460	#3953	C₂³	1	1	yes	characteristic, complemented
461	#3952	C₂³	1	1	yes	characteristic
462	#3952	C₂³	1	1	yes	characteristic
463	#3952	C₂³	1	1	yes	characteristic
464	#3952	C₂³	1	1	yes	characteristic
465	#3952	C₂³	1	1	yes	characteristic, complemented
466	#3952	C₂³	1	1	yes	characteristic, complemented
467	#3952	C₂³	1	1	yes	characteristic, complemented
468	#3952	C₂³	1	1	yes	characteristic, complemented
469	#3948	C₂³	1	1	yes	characteristic, complemented
470	#3948	C₂³	1	1	yes	characteristic, complemented
471	#3942	C₂³	1	1	yes	characteristic, complemented
472	#3942	C₂³	1	1	yes	characteristic, complemented
473	#3941	C₂³	1	1	yes	characteristic
474	#3941	C₂³	1	1	yes	characteristic
475	#3941	C₂³	1	1	yes	characteristic
476	#3941	C₂³	1	1	yes	characteristic
477	#3941	C₂³	1	1	yes	characteristic, complemented
478	#3941	C₂³	1	1	yes	characteristic, complemented
479	#3941	C₂³	1	1	yes	characteristic, complemented
480	#3941	C₂³	1	1	yes	characteristic, complemented
481	#3941	C₂³	1	1	yes	characteristic, complemented
482	#3941	C₂³	1	1	yes	characteristic, complemented
483	#3940	C₂³	1	1	yes	characteristic, complemented
484	#3940	C₂³	1	1	yes	characteristic, complemented
485	#3939	C₂³	1	1	yes	characteristic, complemented
486	#3939	C₂³	1	1	yes	characteristic, complemented
487	C₄⋊#168	C₂³	1	1	yes	characteristic, complemented
488	C₄⋊#168	C₂³	1	1	yes	characteristic, complemented
489	#3935	C₂³	1	1	yes	characteristic, complemented
490	C₄×#168	C₂³	1	1	yes	characteristic, complemented
491	#3542	—	5	1	no	—
492	#3484	—	5	1	no	—
493	#3325	—	5	1	no	—
494	#3322	—	5	1	no	—
495	#3319	—	5	1	no	—
496	#3318	—	5	1	no	—
497	#3310	—	5	1	no	—
498	#3306	—	5	1	no	—
499	#3296	—	5	1	no	—
500	#3294	—	5	1	no	—
501	#3280	—	5	1	no	—
502	D₄×D₈	—	5	1	no	—
503	#3274	—	5	1	no	—
504	#3273	—	5	1	no	—
505	#3268	—	5	1	no	—
506	#3264	—	5	1	no	—
507	#3264	—	5	1	no	—
508	#3264	—	5	1	no	—
509	#3224	—	5	1	no	—
510	#3220	—	5	1	no	—
511	#3199	—	5	1	no	—
512	#3198	—	5	1	no	—
513	#3194	—	5	1	no	—
514	#3191	—	5	1	no	—
515	#3122	—	5	1	no	—
516	#3118	D₅	1	1	yes	characteristic, complemented
517	#3012	—	5	1	no	—
518	#3008	—	5	1	no	—
519	#3003	—	5	1	no	—
520	C₂×#447	—	5	1	no	—
521	#2976	—	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	—	2	1	no	—
530	C₂³×D₅	—	2	1	no	—
531	C₂³×D₅	—	2	1	no	—
532	C₂³×D₅	—	4	4	no	—
533	C₂³×D₅	—	8	2	no	—
534	C₂³×D₅	—	8	2	no	—
535	C₂³×D₅	C₂×D₄	1	1	yes	characteristic
536	C₂×C₅×Q₈	—	2	1	no	—
537	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
538	C₂×C₅×D₄	—	2	2	no	—
539	C₂×C₅×D₄	—	2	2	no	—
540	C₂×C₅×D₄	—	2	1	no	—
541	C₂×C₅×D₄	—	2	1	no	—
542	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
543	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
544	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
545	C₂²×C₄×C₅	—	2	1	no	—
546	C₂²×C₄×C₅	—	2	1	no	—
547	C₂²×C₄×C₅	—	2	1	no	—
548	C₂²×C₄×C₅	—	2	1	no	—
549	C₂²×C₄×C₅	—	2	1	no	—
550	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
551	C₂×C₂²⋊D₅	—	2	1	no	—
552	C₂×C₂²⋊D₅	—	2	1	no	—
553	C₂×C₂²⋊D₅	—	2	1	no	—
554	C₂×C₂²⋊D₅	—	2	1	no	—
555	C₂×C₂²⋊D₅	—	2	1	no	—
556	C₂×C₂²⋊D₅	—	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	—	4	4	no	—
567	C₂×C₂²⋊D₅	—	4	4	no	—
568	C₂×C₂²⋊D₅	—	4	4	no	—
569	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
570	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
571	C₂²×Dic₅	—	2	1	no	—
572	C₂²×Dic₅	—	2	1	no	—
573	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
574	#713	—	4	1	no	—
575	#713	—	4	1	no	—
576	#713	—	4	1	no	—
577	#713	—	4	1	no	—
578	#713	—	8	2	no	—
579	#711	—	2	2	no	—
580	#711	—	2	2	no	—
581	#711	—	4	1	no	—
582	#711	—	4	1	no	—
583	#711	—	4	4	no	—
584	D₄×D₅	—	2	2	no	—
585	D₄×D₅	—	2	2	no	—
586	D₄×D₅	—	2	2	no	—
587	D₄×D₅	—	2	2	no	—
588	D₄×D₅	—	2	2	no	—
589	D₄×D₅	—	2	2	no	—
590	D₄×D₅	—	4	1	no	—
591	D₄×D₅	—	4	1	no	—
592	D₄×D₅	—	4	1	no	—
593	D₄×D₅	—	4	1	no	—
594	D₄×D₅	—	4	1	no	—
595	D₄×D₅	—	4	1	no	—
596	D₄×D₅	—	4	1	no	—
597	D₄×D₅	—	4	1	no	—
598	D₄×D₅	—	4	1	no	—
599	D₄×D₅	—	4	1	no	—
600	D₄×D₅	—	4	4	no	—
601	D₄×D₅	—	4	4	no	—
602	D₄×D₅	—	4	4	no	—
603	D₄×D₅	—	8	2	no	—
604	#709	—	4	1	no	—
605	#709	—	4	1	no	—
606	#709	—	4	1	no	—
607	#709	—	4	1	no	—
608	C₂×D₂₀	—	2	1	no	—
609	C₂×D₂₀	—	2	1	no	—
610	C₂×D₂₀	—	2	1	no	—
611	C₂×D₂₀	—	2	1	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	—	2	1	no	—
618	C₂×D₂₀	—	2	1	no	—
619	C₂×D₂₀	—	2	1	no	—
620	C₂×D₂₀	—	2	1	no	—
621	C₂×D₂₀	—	2	1	no	—
622	C₂×D₂₀	—	2	1	no	—
623	C₂×D₂₀	—	2	1	no	—
624	C₂×D₂₀	—	2	1	no	—
625	C₂×D₂₀	—	2	1	no	—
626	C₂×D₂₀	—	2	1	no	—
627	C₂×D₂₀	—	4	1	no	—
628	C₂×D₂₀	—	4	1	no	—
629	C₂×D₂₀	—	8	2	no	—
630	C₂×D₂₀	—	8	2	no	—
631	C₂×D₂₀	—	8	2	no	—
632	C₂×D₂₀	—	8	2	no	—
633	C₂×D₂₀	—	8	2	no	—
634	C₂×D₂₀	C₂×D₄	1	1	yes	characteristic
635	C₂×D₂₀	C₂×D₄	1	1	yes	characteristic
636	C₂×D₂₀	C₂×D₄	1	1	yes	characteristic
637	C₂×D₂₀	C₂×D₄	1	1	yes	characteristic
638	C₂×D₂₀	C₂×D₄	1	1	yes	characteristic
639	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
640	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
641	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
642	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
643	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
644	C₂×C₄×D₅	—	2	1	no	—
645	C₂×C₄×D₅	—	2	1	no	—
646	C₂×C₄×D₅	—	2	1	no	—
647	C₂×C₄×D₅	—	2	1	no	—
648	C₂×C₄×D₅	—	2	1	no	—
649	C₂×C₄×D₅	—	2	1	no	—
650	C₂×C₄×D₅	—	2	1	no	—
651	C₂×C₄×D₅	—	4	1	no	—
652	C₂×C₄×D₅	—	4	1	no	—
653	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
654	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
655	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
656	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
657	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
658	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
659	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
660	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
661	C₅×SD₁₆	—	2	2	no	—
662	C₅×SD₁₆	—	2	2	no	—
663	C₅×D₈	—	2	2	no	—
664	C₅×D₈	—	2	2	no	—
665	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
666	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
667	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
668	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
669	C₅×C₄⋊C₄	—	2	1	no	—
670	C₅×C₄⋊C₄	—	2	1	no	—
671	C₅×C₄⋊C₄	—	2	1	no	—
672	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
673	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
674	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
675	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
676	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
677	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
678	C₅×C₂²⋊C₄	—	2	1	no	—
679	C₅×C₂²⋊C₄	—	2	1	no	—
680	C₅×C₂²⋊C₄	—	2	1	no	—
681	C₅×C₂²⋊C₄	—	2	1	no	—
682	C₅×C₂²⋊C₄	—	2	1	no	—
683	C₅×C₂²⋊C₄	—	2	1	no	—
684	C₅×C₂²⋊C₄	—	2	1	no	—
685	C₅×C₂²⋊C₄	—	2	1	no	—
686	C₅×C₂²⋊C₄	—	2	1	no	—
687	C₅×C₂²⋊C₄	—	2	1	no	—
688	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
689	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
690	C₄²×C₅	—	2	1	no	—
691	C₄²×C₅	—	2	1	no	—
692	C₄²×C₅	C₂⁴	1	1	yes	characteristic
693	C₄²×C₅	C₂⁴	1	1	yes	characteristic
694	C₂²⋊Dic₅	—	2	1	no	—
695	C₂²⋊Dic₅	—	2	1	no	—
696	#689	—	4	1	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	—	2	2	no	—
704	#686	—	2	2	no	—
705	#686	—	4	1	no	—
706	#686	—	4	1	no	—
707	#686	—	4	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	—	2	1	no	—
728	#685	—	2	1	no	—
729	#685	—	2	1	no	—
730	#685	—	2	1	no	—
731	#685	—	2	1	no	—
732	#685	C₂×D₄	1	1	yes	characteristic
733	#685	C₂×D₄	1	1	yes	characteristic
734	#685	C₂×D₄	1	1	yes	characteristic
735	#685	C₂×D₄	1	1	yes	characteristic
736	#685	C₂×D₄	1	1	yes	characteristic
737	#685	C₂×D₄	1	1	yes	characteristic
738	#685	C₂×D₄	1	1	yes	characteristic
739	#685	C₂×D₄	1	1	yes	characteristic
740	C₄⋊Dic₅	—	2	1	no	—
741	C₄⋊Dic₅	—	2	1	no	—
742	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
743	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
744	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
745	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
746	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
747	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
748	#683	—	2	1	no	—
749	#683	—	2	1	no	—
750	#683	—	2	1	no	—
751	#683	—	2	1	no	—
752	#683	—	2	1	no	—
753	#683	—	2	1	no	—
754	C₄×Dic₅	—	2	1	no	—
755	C₄×Dic₅	—	2	1	no	—
756	C₂×#168	C₂⁴	1	1	yes	characteristic
757	C₂×#168	C₂⁴	1	1	yes	characteristic
758	C₂×#168	C₂⁴	1	1	yes	characteristic
759	C₂×#168	C₂⁴	1	1	yes	characteristic
760	D₄₀	—	4	1	no	—
761	D₄₀	—	4	1	no	—
762	D₄₀	—	4	1	no	—
763	D₄₀	—	4	1	no	—
764	D₄₀	—	4	1	no	—
765	D₄₀	—	4	1	no	—
766	#677	—	4	1	no	—
767	#677	—	4	1	no	—
768	#676	—	4	1	no	—
769	#676	—	4	1	no	—
770	#676	—	4	1	no	—
771	#676	—	4	1	no	—
772	C₈×D₅	—	4	1	no	—
773	C₈×D₅	—	4	1	no	—
774	C₈×D₅	—	4	1	no	—
775	C₈×D₅	—	4	1	no	—
776	C₂×H(5,𝔽₂)	—	5	1	no	—
777	C₂³×D₄	—	5	1	no	—
778	C₂×AGL(1,ℤ/8)	—	5	1	no	—
779	C₂×AGL(1,ℤ/8)	—	5	1	no	—
780	C₂×AGL(1,ℤ/8)	—	5	1	no	—
781	C₂×AGL(1,ℤ/8)	—	5	1	no	—
782	C₂×#135	—	5	1	no	—
783	C₂²×D₈	—	5	1	no	—
784	C₂²×D₈	—	5	1	no	—
785	C₂²×D₈	—	5	1	no	—
786	#562	—	10	1	no	—
787	#560	—	10	1	no	—
788	#555	—	5	1	no	—
789	#553	—	5	1	no	—
790	#552	—	5	1	no	—
791	#551	—	10	1	no	—
792	#550	—	5	1	no	—
793	#547	—	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	—	10	1	no	—
801	#546	—	10	1	no	—
802	#546	—	10	1	no	—
803	D₄²	—	5	1	no	—
804	D₄²	—	5	1	no	—
805	D₄²	—	5	1	no	—
806	D₄²	—	5	1	no	—
807	D₄²	—	5	1	no	—
808	D₄²	—	10	1	no	—
809	D₄²	—	10	1	no	—
810	#542	C₂×D₅	1	1	yes	characteristic, complemented
811	#540	—	5	1	no	—
812	#540	—	10	1	no	—
813	#538	—	10	1	no	—
814	#537	—	5	1	no	—
815	#535	—	5	1	no	—
816	#535	—	5	1	no	—
817	#535	—	5	1	no	—
818	#535	—	10	1	no	—
819	#534	—	10	1	no	—
820	#534	—	10	1	no	—
821	#534	—	10	1	no	—
822	#525	—	5	1	no	—
823	#525	—	5	1	no	—
824	#525	—	5	1	no	—
825	C₂×#121	—	5	1	no	—
826	C₂×#120	—	10	1	no	—
827	C₂×#120	—	10	1	no	—
828	#518	C₂×D₅	1	1	yes	characteristic, complemented
829	#496	—	5	1	no	—
830	#496	—	5	1	no	—
831	#495	—	5	1	no	—
832	#493	—	5	1	no	—
833	#490	—	5	1	no	—
834	#489	—	5	1	no	—
835	#488	—	5	1	no	—
836	#486	—	5	1	no	—
837	#485	—	5	1	no	—
838	#485	C₂×D₅	1	1	yes	characteristic, complemented
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	#482	—	5	1	no	—
845	#482	C₂×D₅	1	1	yes	characteristic, complemented
846	#481	—	5	1	no	—
847	#480	—	5	1	no	—
848	#480	—	5	1	no	—
849	#478	—	5	1	no	—
850	#478	—	5	1	no	—
851	#476	C₂×D₅	1	1	yes	characteristic, complemented
852	#474	C₂×D₅	1	1	yes	characteristic, complemented
853	#469	—	5	1	no	—
854	#469	—	5	1	no	—
855	#469	—	5	1	no	—
856	#469	—	5	1	no	—
857	#469	—	5	1	no	—
858	#468	—	5	1	no	—
859	#468	—	5	1	no	—
860	#468	—	5	1	no	—
861	#467	—	5	1	no	—
862	#466	—	5	1	no	—
863	#466	—	5	1	no	—
864	#466	—	5	1	no	—
865	#466	—	5	1	no	—
866	#465	—	5	1	no	—
867	#465	—	5	1	no	—
868	#465	—	5	1	no	—
869	#464	—	5	1	no	—
870	#463	—	5	1	no	—
871	#463	—	5	1	no	—
872	#463	—	5	1	no	—
873	#463	C₂×D₅	1	1	yes	characteristic, complemented
874	#463	C₂×D₅	1	1	yes	characteristic, complemented
875	#460	—	5	1	no	—
876	#459	—	5	1	no	—
877	#459	—	5	1	no	—
878	#459	—	5	1	no	—
879	#459	—	5	1	no	—
880	#459	—	5	1	no	—
881	#452	—	5	1	no	—
882	#452	—	5	1	no	—
883	#452	—	5	1	no	—
884	#450	—	5	1	no	—
885	#450	—	5	1	no	—
886	#450	—	5	1	no	—
887	#450	—	5	1	no	—
888	#450	—	5	1	no	—
889	#450	C₂×D₅	1	1	yes	characteristic, complemented
890	#449	—	5	1	no	—
891	#449	—	5	1	no	—
892	#449	—	5	1	no	—
893	#449	—	5	1	no	—
894	#449	—	5	1	no	—
895	#449	—	5	1	no	—
896	#449	—	5	1	no	—
897	#449	—	5	1	no	—
898	#449	—	5	1	no	—
899	#447	—	5	1	no	—
900	#447	—	5	1	no	—
901	#447	—	5	1	no	—
902	#447	—	5	1	no	—
903	#447	—	5	1	no	—
904	#447	—	5	1	no	—
905	#447	—	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	—	5	1	no	—
914	#447	—	5	1	no	—
915	#447	—	5	1	no	—
916	#447	C₂×D₅	1	1	yes	characteristic
917	#442	—	5	1	no	—
918	#442	—	5	1	no	—
919	#442	C₂×D₅	1	1	yes	characteristic, complemented
920	#440	C₂×D₅	1	1	yes	characteristic, complemented
921	C₄×SD₁₆	C₂×D₅	1	1	yes	characteristic, complemented
922	C₄×D₈	—	5	1	no	—
923	C₄×D₈	—	5	1	no	—
924	C₄×D₈	C₂×D₅	1	1	yes	characteristic, complemented
925	#436	—	5	1	no	—
926	#436	—	5	1	no	—
927	#435	—	5	1	no	—
928	#435	—	5	1	no	—
929	#435	—	5	1	no	—
930	#435	—	5	1	no	—
931	C₈×D₄	—	5	1	no	—
932	C₈×D₄	—	5	1	no	—
933	#433	—	5	1	no	—
934	#433	C₂×D₅	1	1	yes	characteristic, complemented
935	#418	—	5	1	no	—
936	#418	—	5	1	no	—
937	#418	—	5	1	no	—
938	#417	—	5	1	no	—
939	#416	—	5	1	no	—
940	C₂×#102	—	5	1	no	—
941	C₂×#102	—	5	1	no	—
942	C₂×#102	—	5	1	no	—
943	#408	—	5	1	no	—
944	#408	—	5	1	no	—
945	#407	—	5	1	no	—
946	C₂×C₂²⋊C₈	—	5	1	no	—
947	C₂³×C₅	—	2	4	no	—
948	C₂³×C₅	—	2	1	no	—
949	C₂³×C₅	—	2	1	no	—
950	C₂³×C₅	—	2	1	no	—
951	C₂³×C₅	—	8	1	no	—
952	C₂³×C₅	—	8	1	no	—
953	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
954	C₂²×D₅	—	2	2	no	—
955	C₂²×D₅	—	2	1	no	—
956	C₂²×D₅	—	2	1	no	—
957	C₂²×D₅	—	2	1	no	—
958	C₂²×D₅	—	2	1	no	—
959	C₂²×D₅	—	2	1	no	—
960	C₂²×D₅	—	4	1	no	—
961	C₂²×D₅	—	4	1	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	—	4	2	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	1	no	—
979	C₂²×D₅	—	8	1	no	—
980	C₂²×D₅	—	8	1	no	—
981	C₂²×D₅	—	8	1	no	—
982	C₂²×D₅	—	8	1	no	—
983	C₂²×D₅	—	8	1	no	—
984	C₂²×D₅	—	8	1	no	—
985	C₂²×D₅	—	8	1	no	—
986	C₂²×D₅	—	8	1	no	—
987	C₂²×D₅	—	8	1	no	—
988	C₂²×D₅	—	8	1	no	—
989	C₂²×D₅	—	8	16	no	—
990	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
991	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
992	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
993	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
994	C₅×Q₈	—	2	1	no	—
995	C₅×Q₈	—	2	1	no	—
996	C₅×Q₈	—	8	1	no	—
997	C₅×D₄	—	2	4	no	—
998	C₅×D₄	—	2	1	no	—
999	C₅×D₄	—	2	1	no	—
1000	C₅×D₄	—	2	1	no	—
1001	C₅×D₄	—	2	1	no	—
1002	C₅×D₄	—	8	1	no	—
1003	C₅×D₄	H(5,𝔽₂)	1	2	yes	—
1004	C₅×D₄	H(5,𝔽₂)	1	2	yes	—
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	—	2	1	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	—	8	1	no	—
1016	C₂×C₄×C₅	—	8	1	no	—
1017	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
1018	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
1019	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
1020	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
1021	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
1022	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
1023	C₂²⋊D₅	—	4	1	no	—
1024	C₂²⋊D₅	—	4	1	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	—	4	2	no	—
1031	C₂²⋊D₅	—	4	2	no	—
1032	C₂²⋊D₅	—	4	2	no	—
1033	C₂²⋊D₅	—	4	2	no	—
1034	C₂²⋊D₅	—	8	1	no	—
1035	C₂²⋊D₅	—	8	1	no	—
1036	C₂²⋊D₅	—	8	1	no	—
1037	C₂²⋊D₅	—	8	1	no	—
1038	C₂²⋊D₅	—	8	1	no	—
1039	C₂²⋊D₅	—	8	1	no	—
1040	C₂×Dic₅	—	2	1	no	—
1041	C₂×Dic₅	—	2	1	no	—
1042	C₂×Dic₅	—	2	1	no	—
1043	C₂×Dic₅	—	4	1	no	—
1044	C₂×Dic₅	—	4	2	no	—
1045	C₂×Dic₅	—	4	2	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	D₂₀	—	2	2	no	—
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	—	2	1	no	—
1058	D₂₀	—	2	1	no	—
1059	D₂₀	—	2	1	no	—
1060	D₂₀	—	2	1	no	—
1061	D₂₀	—	2	1	no	—
1062	D₂₀	—	4	1	no	—
1063	D₂₀	—	4	1	no	—
1064	D₂₀	—	4	1	no	—
1065	D₂₀	—	4	2	no	—
1066	D₂₀	—	4	2	no	—
1067	D₂₀	—	4	2	no	—
1068	D₂₀	—	4	2	no	—
1069	D₂₀	—	8	1	no	—
1070	D₂₀	—	8	1	no	—
1071	D₂₀	—	8	1	no	—
1072	D₂₀	—	8	1	no	—
1073	D₂₀	—	8	1	no	—
1074	D₂₀	—	8	1	no	—
1075	D₂₀	—	8	1	no	—
1076	D₂₀	—	8	1	no	—
1077	D₂₀	—	8	1	no	—
1078	D₂₀	—	8	1	no	—
1079	D₂₀	—	8	1	no	—
1080	D₂₀	—	8	1	no	—
1081	D₂₀	—	8	1	no	—
1082	D₂₀	—	8	1	no	—
1083	D₂₀	—	8	1	no	—
1084	C₄×D₅	—	2	1	no	—
1085	C₄×D₅	—	2	1	no	—
1086	C₄×D₅	—	2	1	no	—
1087	C₄×D₅	—	2	1	no	—
1088	C₄×D₅	—	2	1	no	—
1089	C₄×D₅	—	2	1	no	—
1090	C₄×D₅	—	2	1	no	—
1091	C₄×D₅	—	2	1	no	—
1092	C₄×D₅	—	4	1	no	—
1093	C₄×D₅	—	4	1	no	—
1094	C₄×D₅	—	4	2	no	—
1095	C₄×D₅	—	4	2	no	—
1096	C₄×D₅	—	8	1	no	—
1097	C₄×D₅	—	8	1	no	—
1098	C₄×D₅	—	8	1	no	—
1099	C₄×D₅	—	8	1	no	—
1100	C₄×D₅	—	8	1	no	—
1101	Dic₁₀	—	2	1	no	—
1102	Dic₁₀	—	2	1	no	—
1103	Dic₁₀	—	4	1	no	—
1104	C₅×C₈	—	2	1	no	—
1105	C₅×C₈	—	2	1	no	—
1106	C₅×C₈	—	2	1	no	—
1107	C₅×C₈	—	2	1	no	—
1108	#168	—	2	1	no	—
1109	#168	—	2	1	no	—
1110	#168	—	2	1	no	—
1111	#168	—	2	1	no	—
1112	C₂⁵	—	10	1	no	—
1113	H(5,𝔽₂)	—	20	2	no	—
1114	H(5,𝔽₂)	—	20	2	no	—
1115	C₂×#41	—	5	1	no	—
1116	C₂×#41	—	5	1	no	—
1117	C₂×#41	—	5	1	no	—
1118	C₂×#41	—	5	1	no	—
1119	C₂×#41	—	5	1	no	—
1120	C₂×#41	—	5	1	no	—
1121	C₂×#41	—	10	1	no	—
1122	C₂×#41	—	10	1	no	—
1123	C₂²×D₄	—	5	1	no	—
1124	C₂²×D₄	—	5	1	no	—
1125	C₂²×D₄	—	5	1	no	—
1126	C₂²×D₄	—	5	1	no	—
1127	C₂²×D₄	—	5	1	no	—
1128	C₂²×D₄	—	5	1	no	—
1129	C₂²×D₄	—	5	1	no	—
1130	C₂²×D₄	—	5	1	no	—
1131	C₂²×D₄	—	5	1	no	—
1132	C₂²×D₄	—	10	1	no	—
1133	C₂²×D₄	—	10	1	no	—
1134	C₂²×D₄	—	10	1	no	—
1135	C₂²×D₄	—	10	1	no	—
1136	C₂²×D₄	—	10	1	no	—
1137	C₂²×D₄	—	10	1	no	—
1138	C₂²×D₄	—	10	1	no	—
1139	C₂²×D₄	—	10	1	no	—
1140	C₂²×D₄	—	10	1	no	—
1141	C₂²×D₄	—	10	1	no	—
1142	C₂²×D₄	—	10	1	no	—
1143	C₂²×D₄	—	10	1	no	—
1144	C₂²×D₄	—	20	2	no	—
1145	C₂²×D₄	—	20	2	no	—
1146	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
1147	C₂³×C₄	—	5	1	no	—
1148	AGL(1,ℤ/8)	—	20	2	no	—
1149	AGL(1,ℤ/8)	—	20	2	no	—
1150	AGL(1,ℤ/8)	—	20	2	no	—
1151	AGL(1,ℤ/8)	—	20	2	no	—
1152	#135	—	20	2	no	—
1153	C₂×Q₁₆	—	5	1	no	—
1154	C₂×SD₁₆	—	5	1	no	—
1155	C₂×SD₁₆	—	5	1	no	—
1156	C₂×SD₁₆	—	5	1	no	—
1157	C₂×SD₁₆	—	5	1	no	—
1158	C₂×SD₁₆	—	5	1	no	—
1159	C₂×SD₁₆	—	5	1	no	—
1160	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1161	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1162	C₂×D₈	—	5	1	no	—
1163	C₂×D₈	—	5	1	no	—
1164	C₂×D₈	—	5	1	no	—
1165	C₂×D₈	—	5	1	no	—
1166	C₂×D₈	—	5	1	no	—
1167	C₂×D₈	—	5	1	no	—
1168	C₂×D₈	—	5	1	no	—
1169	C₂×D₈	—	5	1	no	—
1170	C₂×D₈	—	5	1	no	—
1171	C₂×D₈	—	5	1	no	—
1172	C₂×D₈	—	5	1	no	—
1173	C₂×D₈	—	5	1	no	—
1174	C₂×D₈	—	5	1	no	—
1175	C₂×D₈	—	20	2	no	—
1176	C₂×D₈	—	20	2	no	—
1177	C₂×D₈	—	20	2	no	—
1178	C₂×D₈	C₂²×D₅	1	1	yes	characteristic
1179	C₂×D₈	C₂²×D₅	1	1	yes	characteristic
1180	C₂×M₁₆	—	5	1	no	—
1181	C₂×M₁₆	—	5	1	no	—
1182	C₂×M₁₆	—	5	1	no	—
1183	C₂×M₁₆	—	5	1	no	—
1184	C₂²×C₈	—	5	1	no	—
1185	C₂²×C₈	—	5	1	no	—
1186	C₂²×C₈	—	5	1	no	—
1187	C₂²×C₈	—	5	1	no	—
1188	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic, complemented
1189	#127	—	5	1	no	—
1190	#127	—	5	1	no	—
1191	#127	—	5	1	no	—
1192	#127	—	10	1	no	—
1193	#127	—	10	1	no	—
1194	#127	—	10	1	no	—
1195	#126	—	2	1	no	—
1196	#126	—	10	1	no	—
1197	#126	—	10	1	no	—
1198	#125	—	5	1	no	—
1199	#125	—	10	1	no	—
1200	#124	—	2	1	no	—
1201	#124	—	5	1	no	—
1202	#124	—	5	1	no	—
1203	#124	—	10	1	no	—
1204	#124	—	10	1	no	—
1205	#124	—	10	1	no	—
1206	#124	—	10	1	no	—
1207	#124	C₂²×D₅	1	1	yes	characteristic, complemented
1208	#123	—	2	1	no	—
1209	#123	—	5	1	no	—
1210	#123	—	5	1	no	—
1211	#123	—	10	1	no	—
1212	#123	—	10	1	no	—
1213	#123	—	10	1	no	—
1214	#123	—	10	1	no	—
1215	#123	—	10	1	no	—
1216	#123	—	10	1	no	—
1217	#123	—	10	1	no	—
1218	#123	—	10	1	no	—
1219	#123	—	10	1	no	—
1220	#123	—	10	1	no	—
1221	#123	—	10	1	no	—
1222	#123	—	10	1	no	—
1223	#123	—	10	1	no	—
1224	#123	—	10	1	no	—
1225	C₂²⋊Q₈	—	2	1	no	—
1226	C₂²⋊Q₈	—	5	1	no	—
1227	C₂²⋊Q₈	—	5	1	no	—
1228	C₂²⋊Q₈	—	5	1	no	—
1229	C₂²⋊Q₈	—	5	1	no	—
1230	C₂²⋊Q₈	—	5	1	no	—
1231	C₂²⋊Q₈	—	5	1	no	—
1232	C₂²⋊Q₈	—	10	1	no	—
1233	C₂²⋊Q₈	—	10	1	no	—
1234	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1235	#121	—	5	1	no	—
1236	#121	—	5	1	no	—
1237	#121	—	5	1	no	—
1238	#121	—	5	1	no	—
1239	#121	—	5	1	no	—
1240	#121	—	5	1	no	—
1241	#121	—	5	1	no	—
1242	#121	—	5	1	no	—
1243	#121	—	5	1	no	—
1244	#121	—	5	1	no	—
1245	#121	—	5	1	no	—
1246	#121	—	5	1	no	—
1247	#121	—	5	1	no	—
1248	#121	—	5	1	no	—
1249	#121	—	5	1	no	—
1250	#121	—	5	1	no	—
1251	#121	—	10	1	no	—
1252	#121	—	10	1	no	—
1253	#121	—	10	1	no	—
1254	#121	—	10	1	no	—
1255	#121	—	10	1	no	—
1256	#121	—	10	1	no	—
1257	#121	—	10	1	no	—
1258	#121	—	10	1	no	—
1259	#121	—	10	1	no	—
1260	#121	—	10	1	no	—
1261	#121	—	10	1	no	—
1262	#121	—	10	1	no	—
1263	#121	—	10	1	no	—
1264	#121	—	10	1	no	—
1265	#121	—	10	1	no	—
1266	#121	—	10	1	no	—
1267	#121	—	10	1	no	—
1268	#121	—	10	1	no	—
1269	#121	—	10	1	no	—
1270	#121	—	10	1	no	—
1271	#121	—	10	1	no	—
1272	#121	—	10	1	no	—
1273	#121	—	10	1	no	—
1274	#121	—	10	1	no	—
1275	#121	C₂²×D₅	1	1	yes	characteristic
1276	#120	—	5	1	no	—
1277	#120	—	5	1	no	—
1278	#120	—	10	1	no	—
1279	#120	—	10	1	no	—
1280	#120	—	10	1	no	—
1281	#120	—	10	1	no	—
1282	#120	—	10	1	no	—
1283	#120	—	10	1	no	—
1284	#120	—	10	1	no	—
1285	#120	—	10	1	no	—
1286	#120	—	10	1	no	—
1287	#120	—	10	1	no	—
1288	#120	—	10	1	no	—
1289	#120	—	10	1	no	—
1290	#120	—	10	1	no	—
1291	#120	—	10	1	no	—
1292	#120	—	10	1	no	—
1293	#120	—	10	1	no	—
1294	#120	—	10	1	no	—
1295	#120	—	10	1	no	—
1296	#120	—	10	1	no	—
1297	#120	—	10	1	no	—
1298	#120	—	10	1	no	—
1299	#120	—	10	1	no	—
1300	#120	—	10	1	no	—
1301	#120	—	10	1	no	—
1302	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic, complemented
1303	C₄×D₄	—	2	1	no	—
1304	C₄×D₄	—	2	1	no	—
1305	C₄×D₄	—	5	1	no	—
1306	C₄×D₄	—	5	1	no	—
1307	C₄×D₄	—	5	1	no	—
1308	C₄×D₄	—	5	1	no	—
1309	C₄×D₄	—	5	1	no	—
1310	C₄×D₄	—	5	1	no	—
1311	C₄×D₄	—	10	1	no	—
1312	C₄×D₄	—	10	1	no	—
1313	C₄×D₄	—	10	1	no	—
1314	C₄×D₄	—	10	1	no	—
1315	C₄×D₄	—	10	1	no	—
1316	C₄×D₄	—	10	1	no	—
1317	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1318	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1319	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1320	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1321	C₄×D₄	C₂²×D₅	1	1	yes	characteristic, complemented
1322	#117	—	5	1	no	—
1323	#117	—	5	1	no	—
1324	#117	—	10	1	no	—
1325	#117	—	10	1	no	—
1326	#117	C₂²×D₅	1	1	yes	characteristic
1327	#117	C₂²×D₅	1	1	yes	characteristic
1328	C₂×C₄⋊C₄	—	5	1	no	—
1329	C₂×C₄⋊C₄	—	5	1	no	—
1330	C₂×C₂²⋊C₄	—	2	1	no	—
1331	C₂×C₂²⋊C₄	—	2	1	no	—
1332	C₂×C₂²⋊C₄	—	10	1	no	—
1333	C₂×C₂²⋊C₄	—	10	1	no	—
1334	C₂×C₂²⋊C₄	—	10	1	no	—
1335	C₂×C₂²⋊C₄	—	10	1	no	—
1336	C₂×C₂²⋊C₄	—	10	1	no	—
1337	C₂×C₂²⋊C₄	—	10	1	no	—
1338	C₂×C₂²⋊C₄	—	10	1	no	—
1339	#107	—	5	1	no	—
1340	#107	—	5	1	no	—
1341	#107	C₂²×D₅	1	1	yes	characteristic, complemented
1342	#107	C₂²×D₅	1	1	yes	characteristic, complemented
1343	#106	—	5	1	no	—
1344	#106	—	5	1	no	—
1345	#106	C₂²×D₅	1	1	yes	characteristic, complemented
1346	#106	C₂²×D₅	1	1	yes	characteristic, complemented
1347	C₄⋊C₈	—	5	1	no	—
1348	C₄⋊C₈	—	5	1	no	—
1349	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic, complemented
1350	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic, complemented
1351	#103	—	5	1	no	—
1352	#103	—	5	1	no	—
1353	#103	—	5	1	no	—
1354	#103	—	5	1	no	—
1355	#103	C₂²×D₅	1	1	yes	characteristic, complemented
1356	#103	C₂²×D₅	1	1	yes	characteristic, complemented
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	—	5	1	no	—
1364	#102	—	5	1	no	—
1365	#102	—	5	1	no	—
1366	#102	—	5	1	no	—
1367	#102	—	5	1	no	—
1368	#102	—	5	1	no	—
1369	#102	—	5	1	no	—
1370	#102	—	5	1	no	—
1371	#102	—	5	1	no	—
1372	#102	—	5	1	no	—
1373	#102	—	5	1	no	—
1374	#102	—	5	1	no	—
1375	#102	—	5	1	no	—
1376	#102	—	5	1	no	—
1377	#102	C₂²×D₅	1	1	yes	characteristic
1378	#102	C₂²×D₅	1	1	yes	characteristic
1379	#102	C₂²×D₅	1	1	yes	characteristic
1380	#102	C₂²×D₅	1	1	yes	characteristic
1381	#102	C₂²×D₅	1	1	yes	characteristic, complemented
1382	#102	C₂²×D₅	1	1	yes	characteristic, complemented
1383	C₂²⋊C₈	—	5	1	no	—
1384	C₂²⋊C₈	—	5	1	no	—
1385	C₂²⋊C₈	—	5	1	no	—
1386	C₂²⋊C₈	—	5	1	no	—
1387	C₂²⋊C₈	—	5	1	no	—
1388	C₂²⋊C₈	—	5	1	no	—
1389	C₂²⋊C₈	—	5	1	no	—
1390	C₂²⋊C₈	—	5	1	no	—
1391	C₂²⋊C₈	—	5	1	no	—
1392	C₂²⋊C₈	—	5	1	no	—
1393	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1394	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1395	#97	—	5	1	no	—
1396	#97	C₂²×D₅	1	1	yes	characteristic, complemented
1397	C₄×C₈	—	5	1	no	—
1398	C₄×C₈	C₂²×D₅	1	1	yes	characteristic, complemented
1399	C₂²×C₅	—	2	1	no	—
1400	C₂²×C₅	—	2	1	no	—
1401	C₂²×C₅	—	2	2	no	—
1402	C₂²×C₅	—	2	2	no	—
1403	C₂²×C₅	—	2	1	no	—
1404	C₂²×C₅	—	4	1	no	—
1405	C₂²×C₅	—	4	1	no	—
1406	C₂²×C₅	—	4	1	no	—
1407	C₂²×C₅	—	4	1	no	—
1408	C₂²×C₅	—	4	1	no	—
1409	C₂²×C₅	—	4	1	no	—
1410	C₂²×C₅	—	4	1	no	—
1411	C₂²×C₅	—	8	4	no	—
1412	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1413	C₂×D₅	—	2	1	no	—
1414	C₂×D₅	—	2	1	no	—
1415	C₂×D₅	—	2	1	no	—
1416	C₂×D₅	—	2	1	no	—
1417	C₂×D₅	—	2	1	no	—
1418	C₂×D₅	—	2	1	no	—
1419	C₂×D₅	—	2	1	no	—
1420	C₂×D₅	—	2	1	no	—
1421	C₂×D₅	—	2	1	no	—
1422	C₂×D₅	—	2	1	no	—
1423	C₂×D₅	—	2	1	no	—
1424	C₂×D₅	—	4	4	no	—
1425	C₂×D₅	—	4	1	no	—
1426	C₂×D₅	—	4	1	no	—
1427	C₂×D₅	—	4	1	no	—
1428	C₂×D₅	—	4	1	no	—
1429	C₂×D₅	—	4	1	no	—
1430	C₂×D₅	—	4	1	no	—
1431	C₂×D₅	—	4	1	no	—
1432	C₂×D₅	—	4	1	no	—
1433	C₂×D₅	—	4	1	no	—
1434	C₂×D₅	—	4	1	no	—
1435	C₂×D₅	—	4	1	no	—
1436	C₂×D₅	—	4	1	no	—
1437	C₂×D₅	—	4	1	no	—
1438	C₂×D₅	—	4	1	no	—
1439	C₂×D₅	—	4	1	no	—
1440	C₂×D₅	—	8	4	no	—
1441	C₂×D₅	—	8	4	no	—
1442	C₂×D₅	—	8	4	no	—
1443	C₂×D₅	—	8	4	no	—
1444	C₂×D₅	—	8	4	no	—
1445	C₂×D₅	—	16	2	no	—
1446	C₂×D₅	—	16	2	no	—
1447	C₂×D₅	—	16	2	no	—
1448	C₂×D₅	—	16	2	no	—
1449	C₂×D₅	#576	1	2	yes	—
1450	C₄×C₅	—	2	1	no	—
1451	C₄×C₅	—	2	1	no	—
1452	C₄×C₅	—	2	1	no	—
1453	C₄×C₅	—	2	1	no	—
1454	C₄×C₅	—	2	1	no	—
1455	C₄×C₅	—	4	1	no	—
1456	C₄×C₅	—	4	1	no	—
1457	C₄×C₅	—	4	1	no	—
1458	C₄×C₅	—	4	1	no	—
1459	C₄×C₅	—	4	1	no	—
1460	C₄×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1461	C₄×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1462	Dic₅	—	2	1	no	—
1463	Dic₅	—	2	1	no	—
1464	Dic₅	—	2	1	no	—
1465	Dic₅	—	2	1	no	—
1466	Dic₅	—	4	1	no	—
1467	Dic₅	—	4	1	no	—
1468	Dic₅	—	4	1	no	—
1469	C₂⁴	—	2	1	no	—
1470	C₂⁴	—	5	1	no	—
1471	C₂⁴	—	10	1	no	—
1472	C₂⁴	—	10	1	no	—
1473	C₂⁴	—	10	1	no	—
1474	C₂⁴	—	10	1	no	—
1475	C₂⁴	—	10	1	no	—
1476	C₂⁴	—	10	1	no	—
1477	C₂⁴	—	10	1	no	—
1478	C₂⁴	—	10	1	no	—
1479	C₂⁴	—	10	1	no	—
1480	C₂⁴	—	20	4	no	—
1481	C₂⁴	—	40	2	no	—
1482	C₂⁴	—	40	2	no	—
1483	#41	—	10	2	no	—
1484	#41	—	10	2	no	—
1485	#41	—	20	1	no	—
1486	#41	—	20	1	no	—
1487	#41	—	20	1	no	—
1488	#41	—	20	1	no	—
1489	#41	—	20	1	no	—
1490	#41	—	20	1	no	—
1491	#41	—	20	1	no	—
1492	#41	—	20	1	no	—
1493	#41	—	20	1	no	—
1494	#41	—	20	1	no	—
1495	#41	—	20	4	no	—
1496	#41	—	40	2	no	—
1497	C₂×Q₈	—	2	1	no	—
1498	C₂×Q₈	—	5	1	no	—
1499	C₂×Q₈	—	5	1	no	—
1500	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1501	C₂×D₄	—	2	2	no	—
1502	C₂×D₄	—	2	2	no	—
1503	C₂×D₄	—	2	1	no	—
1504	C₂×D₄	—	2	1	no	—
1505	C₂×D₄	—	5	1	no	—
1506	C₂×D₄	—	5	1	no	—
1507	C₂×D₄	—	5	1	no	—
1508	C₂×D₄	—	5	1	no	—
1509	C₂×D₄	—	5	1	no	—
1510	C₂×D₄	—	5	1	no	—
1511	C₂×D₄	—	5	1	no	—
1512	C₂×D₄	—	5	1	no	—
1513	C₂×D₄	—	5	1	no	—
1514	C₂×D₄	—	5	1	no	—
1515	C₂×D₄	—	5	1	no	—
1516	C₂×D₄	—	5	1	no	—
1517	C₂×D₄	—	10	1	no	—
1518	C₂×D₄	—	10	1	no	—
1519	C₂×D₄	—	10	1	no	—
1520	C₂×D₄	—	10	1	no	—
1521	C₂×D₄	—	10	1	no	—
1522	C₂×D₄	—	10	1	no	—
1523	C₂×D₄	—	10	1	no	—
1524	C₂×D₄	—	10	1	no	—
1525	C₂×D₄	—	10	1	no	—
1526	C₂×D₄	—	10	1	no	—
1527	C₂×D₄	—	10	1	no	—
1528	C₂×D₄	—	10	1	no	—
1529	C₂×D₄	—	10	1	no	—
1530	C₂×D₄	—	10	1	no	—
1531	C₂×D₄	—	10	1	no	—
1532	C₂×D₄	—	10	1	no	—
1533	C₂×D₄	—	10	1	no	—
1534	C₂×D₄	—	10	1	no	—
1535	C₂×D₄	—	10	1	no	—
1536	C₂×D₄	—	10	1	no	—
1537	C₂×D₄	—	10	2	no	—
1538	C₂×D₄	—	10	2	no	—
1539	C₂×D₄	—	10	2	no	—
1540	C₂×D₄	—	10	2	no	—
1541	C₂×D₄	—	10	2	no	—
1542	C₂×D₄	—	10	2	no	—
1543	C₂×D₄	—	10	1	no	—
1544	C₂×D₄	—	10	1	no	—
1545	C₂×D₄	—	10	1	no	—
1546	C₂×D₄	—	10	1	no	—
1547	C₂×D₄	—	10	1	no	—
1548	C₂×D₄	—	10	1	no	—
1549	C₂×D₄	—	10	1	no	—
1550	C₂×D₄	—	10	1	no	—
1551	C₂×D₄	—	10	1	no	—
1552	C₂×D₄	—	10	1	no	—
1553	C₂×D₄	—	10	1	no	—
1554	C₂×D₄	—	10	1	no	—
1555	C₂×D₄	—	10	1	no	—
1556	C₂×D₄	—	10	1	no	—
1557	C₂×D₄	—	20	1	no	—
1558	C₂×D₄	—	20	1	no	—
1559	C₂×D₄	—	20	1	no	—
1560	C₂×D₄	—	20	1	no	—
1561	C₂×D₄	—	20	1	no	—
1562	C₂×D₄	—	20	1	no	—
1563	C₂×D₄	—	20	1	no	—
1564	C₂×D₄	—	20	1	no	—
1565	C₂×D₄	—	20	1	no	—
1566	C₂×D₄	—	20	1	no	—
1567	C₂×D₄	—	20	1	no	—
1568	C₂×D₄	—	20	1	no	—
1569	C₂×D₄	—	20	4	no	—
1570	C₂×D₄	—	20	4	no	—
1571	C₂×D₄	—	20	4	no	—
1572	C₂×D₄	—	20	4	no	—
1573	C₂×D₄	—	20	4	no	—
1574	C₂×D₄	—	20	4	no	—
1575	C₂×D₄	—	40	2	no	—
1576	C₂×D₄	—	40	2	no	—
1577	C₂×D₄	—	40	2	no	—
1578	C₂×D₄	—	40	2	no	—
1579	C₂×D₄	—	40	2	no	—
1580	C₂×D₄	—	40	2	no	—
1581	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1582	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1583	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1584	C₂²×C₄	—	2	1	no	—
1585	C₂²×C₄	—	2	1	no	—
1586	C₂²×C₄	—	2	1	no	—
1587	C₂²×C₄	—	2	1	no	—
1588	C₂²×C₄	—	2	1	no	—
1589	C₂²×C₄	—	5	1	no	—
1590	C₂²×C₄	—	5	1	no	—
1591	C₂²×C₄	—	5	1	no	—
1592	C₂²×C₄	—	5	1	no	—
1593	C₂²×C₄	—	5	1	no	—
1594	C₂²×C₄	—	5	1	no	—
1595	C₂²×C₄	—	5	1	no	—
1596	C₂²×C₄	—	10	1	no	—
1597	C₂²×C₄	—	10	1	no	—
1598	C₂²×C₄	—	10	1	no	—
1599	C₂²×C₄	—	10	1	no	—
1600	C₂²×C₄	—	10	1	no	—
1601	C₂²×C₄	—	10	1	no	—
1602	C₂²×C₄	—	10	1	no	—
1603	C₂²×C₄	—	10	1	no	—
1604	C₂²×C₄	—	10	1	no	—
1605	C₂²×C₄	—	20	1	no	—
1606	C₂²×C₄	—	20	1	no	—
1607	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1608	Q₁₆	—	20	1	no	—
1609	SD₁₆	—	2	2	no	—
1610	SD₁₆	—	2	2	no	—
1611	SD₁₆	—	20	1	no	—
1612	SD₁₆	—	20	1	no	—
1613	SD₁₆	—	20	1	no	—
1614	SD₁₆	—	20	1	no	—
1615	SD₁₆	—	20	1	no	—
1616	SD₁₆	—	20	1	no	—
1617	D₈	—	2	2	no	—
1618	D₈	—	2	2	no	—
1619	D₈	—	10	2	no	—
1620	D₈	—	10	2	no	—
1621	D₈	—	10	2	no	—
1622	D₈	—	10	2	no	—
1623	D₈	—	20	1	no	—
1624	D₈	—	20	1	no	—
1625	D₈	—	20	1	no	—
1626	D₈	—	20	1	no	—
1627	D₈	—	20	1	no	—
1628	D₈	—	20	1	no	—
1629	D₈	—	20	1	no	—
1630	D₈	—	20	1	no	—
1631	D₈	—	20	1	no	—
1632	M₁₆	—	20	1	no	—
1633	M₁₆	—	20	1	no	—
1634	M₁₆	—	20	1	no	—
1635	M₁₆	—	20	1	no	—
1636	C₂×C₈	—	5	1	no	—
1637	C₂×C₈	—	5	1	no	—
1638	C₂×C₈	—	5	1	no	—
1639	C₂×C₈	—	5	1	no	—
1640	C₂×C₈	—	20	1	no	—
1641	C₂×C₈	—	20	1	no	—
1642	C₂×C₈	—	20	1	no	—
1643	C₂×C₈	—	20	1	no	—
1644	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1645	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1646	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1647	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1648	C₄⋊C₄	—	2	1	no	—
1649	C₄⋊C₄	—	2	1	no	—
1650	C₄⋊C₄	—	2	1	no	—
1651	C₄⋊C₄	—	5	1	no	—
1652	C₄⋊C₄	—	5	1	no	—
1653	C₄⋊C₄	—	5	1	no	—
1654	C₄⋊C₄	—	5	1	no	—
1655	C₄⋊C₄	—	5	1	no	—
1656	C₄⋊C₄	—	5	1	no	—
1657	C₄⋊C₄	—	10	1	no	—
1658	C₄⋊C₄	—	10	1	no	—
1659	C₄⋊C₄	—	10	1	no	—
1660	C₄⋊C₄	—	10	1	no	—
1661	C₄⋊C₄	—	10	1	no	—
1662	C₄⋊C₄	—	10	1	no	—
1663	C₄⋊C₄	—	10	1	no	—
1664	C₄⋊C₄	—	10	1	no	—
1665	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1666	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1667	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1668	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1669	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1670	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1671	C₂²⋊C₄	—	2	1	no	—
1672	C₂²⋊C₄	—	2	1	no	—
1673	C₂²⋊C₄	—	2	1	no	—
1674	C₂²⋊C₄	—	2	1	no	—
1675	C₂²⋊C₄	—	2	1	no	—
1676	C₂²⋊C₄	—	2	1	no	—
1677	C₂²⋊C₄	—	2	1	no	—
1678	C₂²⋊C₄	—	2	1	no	—
1679	C₂²⋊C₄	—	2	1	no	—
1680	C₂²⋊C₄	—	2	1	no	—
1681	C₂²⋊C₄	—	5	1	no	—
1682	C₂²⋊C₄	—	5	1	no	—
1683	C₂²⋊C₄	—	5	1	no	—
1684	C₂²⋊C₄	—	5	1	no	—
1685	C₂²⋊C₄	—	5	1	no	—
1686	C₂²⋊C₄	—	5	1	no	—
1687	C₂²⋊C₄	—	5	1	no	—
1688	C₂²⋊C₄	—	5	1	no	—
1689	C₂²⋊C₄	—	10	1	no	—
1690	C₂²⋊C₄	—	10	1	no	—
1691	C₂²⋊C₄	—	10	1	no	—
1692	C₂²⋊C₄	—	10	1	no	—
1693	C₂²⋊C₄	—	10	1	no	—
1694	C₂²⋊C₄	—	10	1	no	—
1695	C₂²⋊C₄	—	10	1	no	—
1696	C₂²⋊C₄	—	10	1	no	—
1697	C₂²⋊C₄	—	10	1	no	—
1698	C₂²⋊C₄	—	10	1	no	—
1699	C₂²⋊C₄	—	10	1	no	—
1700	C₂²⋊C₄	—	10	1	no	—
1701	C₂²⋊C₄	—	10	1	no	—
1702	C₂²⋊C₄	—	10	1	no	—
1703	C₂²⋊C₄	—	10	1	no	—
1704	C₂²⋊C₄	—	10	1	no	—
1705	C₂²⋊C₄	—	10	1	no	—
1706	C₂²⋊C₄	—	10	1	no	—
1707	C₂²⋊C₄	—	10	1	no	—
1708	C₂²⋊C₄	—	10	1	no	—
1709	C₂²⋊C₄	—	10	1	no	—
1710	C₂²⋊C₄	—	10	1	no	—
1711	C₂²⋊C₄	—	10	1	no	—
1712	C₂²⋊C₄	—	10	1	no	—
1713	C₂²⋊C₄	—	10	1	no	—
1714	C₂²⋊C₄	—	10	1	no	—
1715	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1716	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1717	C₄²	—	2	1	no	—
1718	C₄²	—	2	1	no	—
1719	C₄²	—	10	1	no	—
1720	C₄²	—	10	1	no	—
1721	C₄²	C₂³×D₅	1	1	yes	characteristic
1722	C₄²	C₂³×D₅	1	1	yes	characteristic
1723	C₂×C₅	—	4	1	no	—
1724	C₂×C₅	—	4	2	no	—
1725	C₂×C₅	—	4	2	no	—
1726	C₂×C₅	—	8	1	no	—
1727	C₂×C₅	#3484	1	1	yes	characteristic
1728	C₂×C₅	C₂×#576	1	1	yes	characteristic
1729	C₂×C₅	#3585	1	1	yes	characteristic
1730	D₅	—	2	2	no	—
1731	D₅	—	4	1	no	—
1732	D₅	—	4	1	no	—
1733	D₅	—	4	1	no	—
1734	D₅	—	8	1	no	—
1735	D₅	—	8	1	no	—
1736	D₅	—	8	1	no	—
1737	D₅	—	8	1	no	—
1738	D₅	—	8	1	no	—
1739	C₂³	—	2	4	no	—
1740	C₂³	—	2	1	no	—
1741	C₂³	—	2	1	no	—
1742	C₂³	—	2	1	no	—
1743	C₂³	—	5	1	no	—
1744	C₂³	—	5	1	no	—
1745	C₂³	—	5	1	no	—
1746	C₂³	—	5	1	no	—
1747	C₂³	—	8	1	no	—
1748	C₂³	—	8	1	no	—
1749	C₂³	—	10	2	no	—
1750	C₂³	—	10	1	no	—
1751	C₂³	—	10	1	no	—
1752	C₂³	—	10	1	no	—
1753	C₂³	—	10	1	no	—
1754	C₂³	—	10	1	no	—
1755	C₂³	—	20	1	no	—
1756	C₂³	—	20	1	no	—
1757	C₂³	—	20	2	no	—
1758	C₂³	—	20	2	no	—
1759	C₂³	—	20	2	no	—
1760	C₂³	—	20	2	no	—
1761	C₂³	—	20	2	no	—
1762	C₂³	—	20	2	no	—
1763	C₂³	—	20	2	no	—
1764	C₂³	—	20	2	no	—
1765	C₂³	—	20	2	no	—
1766	C₂³	—	20	2	no	—
1767	C₂³	—	20	2	no	—
1768	C₂³	—	20	2	no	—
1769	C₂³	—	40	1	no	—
1770	C₂³	—	40	1	no	—
1771	C₂³	—	40	1	no	—
1772	C₂³	—	40	1	no	—
1773	C₂³	—	40	1	no	—
1774	C₂³	—	40	1	no	—
1775	C₂³	—	40	1	no	—
1776	C₂³	—	40	1	no	—
1777	C₂³	—	40	1	no	—
1778	C₂³	—	40	1	no	—
1779	C₂³	—	40	1	no	—
1780	C₂³	—	40	1	no	—
1781	C₂³	—	40	1	no	—
1782	C₂³	—	40	1	no	—
1783	C₂³	—	40	1	no	—
1784	C₂³	—	40	16	no	—
1785	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1786	Q₈	—	2	1	no	—
1787	Q₈	—	2	1	no	—
1788	Q₈	—	8	1	no	—
1789	Q₈	—	10	1	no	—
1790	Q₈	—	10	1	no	—
1791	Q₈	—	20	1	no	—
1792	D₄	—	2	4	no	—
1793	D₄	—	2	1	no	—
1794	D₄	—	2	1	no	—
1795	D₄	—	2	1	no	—
1796	D₄	—	2	1	no	—
1797	D₄	—	8	1	no	—
1798	D₄	—	10	2	no	—
1799	D₄	—	10	2	no	—
1800	D₄	—	10	1	no	—
1801	D₄	—	10	1	no	—
1802	D₄	—	10	1	no	—
1803	D₄	—	10	1	no	—
1804	D₄	—	10	1	no	—
1805	D₄	—	10	1	no	—
1806	D₄	—	10	1	no	—
1807	D₄	—	10	1	no	—
1808	D₄	—	10	1	no	—
1809	D₄	—	10	1	no	—
1810	D₄	—	20	1	no	—
1811	D₄	—	20	1	no	—
1812	D₄	—	20	1	no	—
1813	D₄	—	20	2	no	—
1814	D₄	—	20	2	no	—
1815	D₄	—	20	2	no	—
1816	D₄	—	20	2	no	—
1817	D₄	—	20	1	no	—
1818	D₄	—	20	1	no	—
1819	D₄	—	20	2	no	—
1820	D₄	—	20	2	no	—
1821	D₄	—	20	2	no	—
1822	D₄	—	20	2	no	—
1823	D₄	—	20	2	no	—
1824	D₄	—	20	2	no	—
1825	D₄	—	20	2	no	—
1826	D₄	—	20	2	no	—
1827	D₄	—	20	2	no	—
1828	D₄	—	40	1	no	—
1829	D₄	—	40	1	no	—
1830	D₄	—	40	1	no	—
1831	D₄	—	40	1	no	—
1832	D₄	—	40	1	no	—
1833	D₄	—	40	1	no	—
1834	D₄	—	40	1	no	—
1835	D₄	—	40	1	no	—
1836	D₄	—	40	1	no	—
1837	D₄	—	40	1	no	—
1838	D₄	—	40	1	no	—
1839	D₄	—	40	1	no	—
1840	D₄	—	40	1	no	—
1841	D₄	—	40	1	no	—
1842	D₄	—	40	1	no	—
1843	D₄	—	40	1	no	—
1844	D₄	—	40	1	no	—
1845	D₄	—	40	1	no	—
1846	D₄	—	40	1	no	—
1847	D₄	—	40	1	no	—
1848	D₄	—	40	1	no	—
1849	D₄	#4149	1	2	yes	—
1850	D₄	#4149	1	2	yes	—
1851	C₂×C₄	—	2	1	no	—
1852	C₂×C₄	—	2	1	no	—
1853	C₂×C₄	—	2	1	no	—
1854	C₂×C₄	—	2	1	no	—
1855	C₂×C₄	—	2	1	no	—
1856	C₂×C₄	—	2	1	no	—
1857	C₂×C₄	—	2	1	no	—
1858	C₂×C₄	—	5	1	no	—
1859	C₂×C₄	—	5	1	no	—
1860	C₂×C₄	—	5	1	no	—
1861	C₂×C₄	—	5	1	no	—
1862	C₂×C₄	—	8	1	no	—
1863	C₂×C₄	—	8	1	no	—
1864	C₂×C₄	—	8	1	no	—
1865	C₂×C₄	—	8	1	no	—
1866	C₂×C₄	—	8	1	no	—
1867	C₂×C₄	—	10	1	no	—
1868	C₂×C₄	—	10	1	no	—
1869	C₂×C₄	—	10	1	no	—
1870	C₂×C₄	—	10	1	no	—
1871	C₂×C₄	—	10	1	no	—
1872	C₂×C₄	—	10	1	no	—
1873	C₂×C₄	—	10	1	no	—
1874	C₂×C₄	—	10	1	no	—
1875	C₂×C₄	—	10	1	no	—
1876	C₂×C₄	—	10	1	no	—
1877	C₂×C₄	—	10	1	no	—
1878	C₂×C₄	—	20	1	no	—
1879	C₂×C₄	—	20	1	no	—
1880	C₂×C₄	—	20	2	no	—
1881	C₂×C₄	—	20	2	no	—
1882	C₂×C₄	—	20	1	no	—
1883	C₂×C₄	—	20	2	no	—
1884	C₂×C₄	—	20	2	no	—
1885	C₂×C₄	—	40	1	no	—
1886	C₂×C₄	—	40	1	no	—
1887	C₂×C₄	—	40	1	no	—
1888	C₂×C₄	—	40	1	no	—
1889	C₂×C₄	—	40	1	no	—
1890	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1891	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1892	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1893	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1894	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1895	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1896	C₈	—	2	1	no	—
1897	C₈	—	2	1	no	—
1898	C₈	—	2	1	no	—
1899	C₈	—	2	1	no	—
1900	C₈	—	10	1	no	—
1901	C₈	—	10	1	no	—
1902	C₈	—	10	1	no	—
1903	C₈	—	10	1	no	—
1904	C₅	#61609	1	1	yes	characteristic, complemented, Sylow
1905	C₂²	—	2	1	no	—
1906	C₂²	—	2	2	no	—
1907	C₂²	—	2	2	no	—
1908	C₂²	—	2	1	no	—
1909	C₂²	—	2	1	no	—
1910	C₂²	—	4	1	no	—
1911	C₂²	—	4	1	no	—
1912	C₂²	—	4	1	no	—
1913	C₂²	—	4	1	no	—
1914	C₂²	—	4	1	no	—
1915	C₂²	—	4	1	no	—
1916	C₂²	—	4	1	no	—
1917	C₂²	—	5	2	no	—
1918	C₂²	—	8	4	no	—
1919	C₂²	—	10	1	no	—
1920	C₂²	—	10	1	no	—
1921	C₂²	—	10	1	no	—
1922	C₂²	—	10	1	no	—
1923	C₂²	—	10	1	no	—
1924	C₂²	—	10	1	no	—
1925	C₂²	—	10	1	no	—
1926	C₂²	—	10	1	no	—
1927	C₂²	—	10	1	no	—
1928	C₂²	—	10	1	no	—
1929	C₂²	—	10	1	no	—
1930	C₂²	—	20	4	no	—
1931	C₂²	—	20	1	no	—
1932	C₂²	—	20	1	no	—
1933	C₂²	—	20	1	no	—
1934	C₂²	—	20	1	no	—
1935	C₂²	—	20	1	no	—
1936	C₂²	—	20	1	no	—
1937	C₂²	—	20	1	no	—
1938	C₂²	—	20	1	no	—
1939	C₂²	—	20	1	no	—
1940	C₂²	—	20	1	no	—
1941	C₂²	—	20	1	no	—
1942	C₂²	—	20	1	no	—
1943	C₂²	—	20	1	no	—
1944	C₂²	—	20	1	no	—
1945	C₂²	—	20	1	no	—
1946	C₂²	—	40	4	no	—
1947	C₂²	—	40	4	no	—
1948	C₂²	—	40	4	no	—
1949	C₂²	—	40	4	no	—
1950	C₂²	—	40	4	no	—
1951	C₂²	—	80	2	no	—
1952	C₂²	—	80	2	no	—
1953	C₂²	—	80	2	no	—
1954	C₂²	—	80	2	no	—
1955	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1956	C₄	—	2	1	no	—
1957	C₄	—	2	1	no	—
1958	C₄	—	2	1	no	—
1959	C₄	—	2	1	no	—
1960	C₄	—	2	1	no	—
1961	C₄	—	4	1	no	—
1962	C₄	—	4	1	no	—
1963	C₄	—	4	1	no	—
1964	C₄	—	4	1	no	—
1965	C₄	—	4	1	no	—
1966	C₄	—	10	1	no	—
1967	C₄	—	10	1	no	—
1968	C₄	—	10	1	no	—
1969	C₄	—	10	1	no	—
1970	C₄	—	20	1	no	—
1971	C₄	—	20	1	no	—
1972	C₄	—	20	1	no	—
1973	C₄	C₂×#4149	1	1	yes	characteristic
1974	C₄	C₂×#4149	1	1	yes	characteristic
1975	C₂	—	4	1	no	—
1976	C₂	—	4	2	no	—
1977	C₂	—	4	2	no	—
1978	C₂	—	8	1	no	—
1979	C₂	—	10	2	no	—
1980	C₂	—	20	1	no	—
1981	C₂	—	20	1	no	—
1982	C₂	—	20	1	no	—
1983	C₂	—	40	1	no	—
1984	C₂	—	40	1	no	—
1985	C₂	—	40	1	no	—
1986	C₂	—	40	1	no	—
1987	C₂	—	40	1	no	—
1988	C₂	#10617940	1	1	yes	characteristic
1989	C₂	D₅×#576	1	1	yes	characteristic
1990	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×#3118	C₂
socle	C₂²×C₅	C₂³×D₄
hypercenter	#3118	D₅
hypocenter	C₅	#61609
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ #117 ◁ #3118

Complements

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

N	H ≅ G/N	type
1. #10618464	C₂	semidirect
2. #10617768	C₂	semidirect
3. C₅×#3118	C₂	semidirect
4. #10615194	C₂	semidirect
5. #10614273	C₂	semidirect
6. #10613273	C₂	semidirect
7. #10613271	C₂	semidirect
8. #10613131	C₂	semidirect
9. #10613110	C₂	semidirect
10. #10612810	C₂	semidirect
11. #10612808	C₂	semidirect
12. #10612714	C₂	semidirect
13. #10612711	C₂	semidirect
14. #10612288	C₂	semidirect
15. #10612286	C₂	semidirect
16. #10612283	C₂	semidirect
17. #10612283	C₂	semidirect
18. #10611880	C₂	semidirect
19. #10611877	C₂	semidirect
20. #10611735	C₂	semidirect
21. D₅×#447	C₂	semidirect
22. #10611613	C₂	semidirect
23. #10611609	C₂	semidirect
24. #10611531	C₂	semidirect
25. #10611527	C₂	semidirect
26. #10611408	C₂	semidirect
27. #10611401	C₂	semidirect
28. #10611342	C₂	semidirect
29. D₈×D₂₀	C₂	semidirect
30. #10611121	C₂	semidirect
31. #10611107	C₂	semidirect
32. C₂×#4144	C₂²	semidirect
33. C₂²×D₄×D₅	C₂²	semidirect
34. C₅×#542	C₂²	semidirect
35. C₅×#518	C₂²	semidirect
36. C₂×#4062	C₂²	semidirect
37. C₂×#4060	C₂²	semidirect
38. C₂×#4060	C₂²	semidirect
39. C₂×#4060	C₂²	semidirect
40. C₂×#4057	C₂²	semidirect
41. C₂×D₅×D₈	C₂²	semidirect
42. C₂×D₅×D₈	C₂²	semidirect
43. C₂×D₅×D₈	C₂²	semidirect
44. #66068	C₂²	semidirect
45. #66060	C₂²	semidirect
49. #66010	C₂²	semidirect
50. #66010	C₂²	semidirect
56. #65963	C₂²	semidirect
57. #65961	C₂²	semidirect
58. #65941	C₂²	semidirect
59. D₅×#121	C₂²	semidirect
60. #65915	C₂²	semidirect
61. #65911	C₂²	semidirect
62. #65892	C₂²	semidirect
66. #65888	C₂²	semidirect
67. #65888	C₂²	semidirect
68. #65888	C₂²	semidirect
72. D₄×D₂₀	C₂²	semidirect
73. D₄×D₂₀	C₂²	semidirect
74. D₄×D₂₀	C₂²	semidirect
75. D₄×D₂₀	C₂²	semidirect
76. #65869	C₂²	semidirect
77. #65859	C₂²	semidirect
78. #65859	C₂²	semidirect
80. #65858	C₂²	semidirect
85. C₅×#485	C₂²	semidirect
86. C₅×#482	C₂²	semidirect
87. C₅×#476	C₂²	semidirect
88. C₅×#474	C₂²	semidirect
89. C₅×#463	C₂²	semidirect
90. C₅×#463	C₂²	semidirect
91. C₅×#450	C₂²	semidirect
93. C₅×#442	C₂²	semidirect
94. C₅×#440	C₂²	semidirect
95. C₄×C₅×SD₁₆	C₂²	semidirect
96. C₄×C₅×D₈	C₂²	semidirect
97. C₅×#433	C₂²	semidirect
98. #65506	C₂²	semidirect
99. #65506	C₂²	semidirect
100. #65462	C₂²	semidirect
101. #65458	C₂²	semidirect
102. #65458	C₂²	semidirect
103. #65458	C₂²	semidirect
104. #65447	C₂²	semidirect
105. #65445	C₂²	semidirect
106. #65445	C₂²	semidirect
107. #65445	C₂²	semidirect
108. #65378	C₂²	semidirect
109. #65377	C₂²	semidirect
110. #65348	C₂²	semidirect
111. #65347	C₂²	semidirect
112. #65336	C₂²	semidirect
113. #65335	C₂²	semidirect
114. #65326	C₂²	semidirect
115. #65325	C₂²	semidirect
116. #65317	C₂²	semidirect
117. #65316	C₂²	semidirect
118. #65305	C₂²	semidirect
119. #65304	C₂²	semidirect
120. #65304	C₂²	semidirect
121. #65304	C₂²	semidirect
122. #65303	C₂²	semidirect
123. #65303	C₂²	semidirect
124. C₄×#686	C₂²	semidirect
125. C₄×#686	C₂²	semidirect
126. #65298	C₂²	semidirect
127. #65298	C₂²	semidirect
128. #65292	C₂²	semidirect
129. #65292	C₂²	semidirect
130. #65289	C₂²	semidirect
131. #65177	C₂²	semidirect
132. #65175	C₂²	semidirect
133. #65174	C₂²	semidirect
134. #65172	C₂²	semidirect
135. #65172	C₂²	semidirect
136. #65172	C₂²	semidirect
137. #65171	C₂²	semidirect
138. #65171	C₂²	semidirect
139. #65155	C₂²	semidirect
140. #65155	C₂²	semidirect
141. #65154	C₂²	semidirect
142. #65154	C₂²	semidirect
143. #65154	C₂²	semidirect
144. #65153	C₂²	semidirect
145. #65152	C₂²	semidirect
146. #65151	C₂²	semidirect
147. #65133	C₂²	semidirect
148. #65133	C₂²	semidirect
149. #65132	C₂²	semidirect
150. #65132	C₂²	semidirect
151. #65127	C₂²	semidirect
152. #65125	C₂²	semidirect
153. #65125	C₂²	semidirect
154. #65123	C₂²	semidirect
155. #65102	C₂²	semidirect
156. #65101	C₂²	semidirect
157. #65100	C₂²	semidirect
158. #65100	C₂²	semidirect
159. #65100	C₂²	semidirect
160. #65099	C₂²	semidirect
161. #65096	C₂²	semidirect
162. #65096	C₂²	semidirect
163. #65071	C₂²	semidirect
164. #65071	C₂²	semidirect
165. #65070	C₂²	semidirect
166. #65070	C₂²	semidirect
167. #65069	C₂²	semidirect
168. #65065	C₂²	semidirect
169. #65064	C₂²	semidirect
170. #65062	C₂²	semidirect
171. #65062	C₂²	semidirect
172. #65062	C₂²	semidirect
173. #65062	C₂²	semidirect
174. #65062	C₂²	semidirect
175. #65062	C₂²	semidirect
176. #65062	C₂²	semidirect
177. #65062	C₂²	semidirect
178. #65062	C₂²	semidirect
179. #65061	C₂²	semidirect
180. #65060	C₂²	semidirect
181. #65059	C₂²	semidirect
182. #65059	C₂²	semidirect
183. #65059	C₂²	semidirect
184. D₅×#102	C₂²	semidirect
185. D₅×#102	C₂²	semidirect
186. D₅×#102	C₂²	semidirect
187. #65023	C₂²	semidirect
188. #65023	C₂²	semidirect
189. #65021	C₂²	semidirect
190. #65021	C₂²	semidirect
191. #65016	C₂²	semidirect
192. #65016	C₂²	semidirect
193. #65015	C₂²	semidirect
194. D₅×C₂²⋊C₈	C₂²	semidirect
195. #65002	C₂²	semidirect
196. #65001	C₂²	semidirect
197. #64995	C₂²	semidirect
198. #64995	C₂²	semidirect
199. #64986	C₂²	semidirect
200. #64984	C₂²	semidirect
201. #64977	C₂²	semidirect
202. C₈×D₂₀	C₂²	semidirect
211. C₂×#713	C₂³	semidirect
230. C₂×D₄×D₅	C₂³	semidirect
244. C₅×C₄⋊Q₈	C₂³	semidirect
247. C₅×#124	C₂³	semidirect
252. C₄×C₅×Q₈	C₂³	semidirect
259. C₄×C₅×D₄	C₂³	semidirect
268. #4092	C₂³	semidirect
269. C₂×#689	C₂³	semidirect
272. C₂×#688	C₂³	semidirect
276. #4084	C₂³	semidirect
278. C₂×#687	C₂³	semidirect
285. C₂×#686	C₂³	semidirect
315. C₂×D₄₀	C₂³	semidirect
316. C₂×D₄₀	C₂³	semidirect
317. C₂×#677	C₂³	semidirect
318. C₂×#677	C₂³	semidirect
321. C₂×#676	C₂³	semidirect
322. C₂×#676	C₂³	semidirect
325. C₂×C₈×D₅	C₂³	semidirect
326. C₂×C₈×D₅	C₂³	semidirect
348. #4041	C₂³	semidirect
349. #4041	C₂³	semidirect
359. #4038	C₂³	semidirect
361. D₅×C₄⋊C₄	C₂³	semidirect
419. #4020	C₂³	semidirect
427. C₄×D₂₀	C₂³	semidirect
428. C₄×D₂₀	C₂³	semidirect
430. #4016	C₂³	semidirect
431. C₅×#107	C₂³	semidirect
432. C₅×#107	C₂³	semidirect
433. C₅×#106	C₂³	semidirect
434. C₅×#106	C₂³	semidirect
435. C₅×C₄⋊C₈	C₂³	semidirect
436. C₅×C₄⋊C₈	C₂³	semidirect
437. C₅×#103	C₂³	semidirect
438. C₅×#103	C₂³	semidirect
443. C₅×#102	C₂³	semidirect
444. C₅×#102	C₂³	semidirect
447. C₅×#97	C₂³	semidirect
448. C₄×C₅×C₈	C₂³	semidirect
459. #3953	C₂³	semidirect
460. #3953	C₂³	semidirect
465. #3952	C₂³	semidirect
466. #3952	C₂³	semidirect
467. #3952	C₂³	semidirect
468. #3952	C₂³	semidirect
469. #3948	C₂³	semidirect
470. #3948	C₂³	semidirect
471. #3942	C₂³	semidirect
472. #3942	C₂³	semidirect
477. #3941	C₂³	semidirect
478. #3941	C₂³	semidirect
479. #3941	C₂³	semidirect
480. #3941	C₂³	semidirect
481. #3941	C₂³	semidirect
482. #3941	C₂³	semidirect
483. #3940	C₂³	semidirect
484. #3940	C₂³	semidirect
485. #3939	C₂³	semidirect
486. #3939	C₂³	semidirect
487. C₄⋊#168	C₂³	semidirect
488. C₄⋊#168	C₂³	semidirect
489. #3935	C₂³	semidirect
490. C₄×#168	C₂³	semidirect
516. #3118	D₅	semidirect
810. #542	C₂×D₅	semidirect
828. #518	C₂×D₅	semidirect
838. #485	C₂×D₅	semidirect
845. #482	C₂×D₅	semidirect
851. #476	C₂×D₅	semidirect
852. #474	C₂×D₅	semidirect
873. #463	C₂×D₅	semidirect
874. #463	C₂×D₅	semidirect
889. #450	C₂×D₅	semidirect
919. #442	C₂×D₅	semidirect
920. #440	C₂×D₅	semidirect
921. C₄×SD₁₆	C₂×D₅	semidirect
924. C₄×D₈	C₂×D₅	semidirect
934. #433	C₂×D₅	semidirect
1188. C₄⋊Q₈	C₂²×D₅	semidirect
1207. #124	C₂²×D₅	semidirect
1302. C₄×Q₈	C₂²×D₅	semidirect
1321. C₄×D₄	C₂²×D₅	semidirect
1341. #107	C₂²×D₅	semidirect
1342. #107	C₂²×D₅	semidirect
1345. #106	C₂²×D₅	semidirect
1346. #106	C₂²×D₅	semidirect
1349. C₄⋊C₈	C₂²×D₅	semidirect
1350. C₄⋊C₈	C₂²×D₅	semidirect
1355. #103	C₂²×D₅	semidirect
1356. #103	C₂²×D₅	semidirect
1381. #102	C₂²×D₅	semidirect
1382. #102	C₂²×D₅	semidirect
1396. #97	C₂²×D₅	semidirect
1398. C₄×C₈	C₂²×D₅	semidirect
1904. C₅	#61609	semidirect

Maximal subgroups

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

subgroup	index
#10618464	2
#10617768	2
C₅×#3118	2
#10615194	2
#10614273	2
#10613273	2
#10613271	2
#10613131	2
#10613110	2
#10612810	2
#10612808	2
#10612714	2
#10612711	2
#10612288	2
#10612286	2
#10612283	2
#10611880	2
#10611877	2
#10611735	2
D₅×#447	2
#10611613	2
#10611609	2
#10611531	2
#10611527	2
#10611408	2
#10611401	2
#10611342	2
D₈×D₂₀	2
#10611121	2
#10611107	2
#61609	5