Subgroups — #12984850

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	#10618747	C₂	1	1	yes	maximal, characteristic, complemented
2	#10618521	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#3310	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615329	C₂	1	1	yes	maximal, characteristic, complemented
5	D₄×#686	C₂	1	1	yes	maximal, characteristic, complemented
6	#10613458	C₂	1	1	yes	maximal, characteristic, complemented
7	#10613450	C₂	1	1	yes	maximal, characteristic, complemented
8	#10613133	C₂	1	1	yes	maximal, characteristic, complemented
9	#10613131	C₂	1	1	yes	maximal, characteristic, complemented
10	#10613033	C₂	1	1	yes	maximal, characteristic, complemented
11	#10613031	C₂	1	1	yes	maximal, characteristic, complemented
12	#10612923	C₂	1	1	yes	maximal, characteristic, complemented
13	#10612877	C₂	1	1	yes	maximal, characteristic, complemented
14	#10612570	C₂	1	1	yes	maximal, characteristic, complemented
15	#10612546	C₂	1	1	yes	maximal, characteristic, complemented
16	#10612405	C₂	1	1	yes	maximal, characteristic, complemented
17	#10612397	C₂	1	1	yes	maximal, characteristic, complemented
18	#10612136	C₂	1	1	yes	maximal, characteristic, complemented
19	#10612123	C₂	1	1	yes	maximal, characteristic, complemented
20	#10611899	C₂	1	1	yes	maximal, characteristic, complemented
21	#10611897	C₂	1	1	yes	maximal, characteristic, complemented
22	#10611880	C₂	1	1	yes	maximal, characteristic, complemented
23	#10611877	C₂	1	1	yes	maximal, characteristic, complemented
24	#10611527	C₂	1	1	yes	maximal, characteristic, complemented
25	#10611516	C₂	1	1	yes	maximal, characteristic, complemented
26	#10611224	C₂	1	1	yes	maximal, characteristic, complemented
27	#10611218	C₂	1	1	yes	maximal, characteristic, complemented
28	#10610672	C₂	1	1	yes	maximal, characteristic, complemented
29	#10610659	C₂	1	1	yes	maximal, characteristic, complemented
30	#10610492	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#65062	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×#552	C₂²	1	1	yes	characteristic, complemented
35	C₅×D₄²	C₂²	1	1	yes	characteristic
36	#66140	C₂²	1	1	yes	characteristic, complemented
37	D₄×C₂²⋊D₅	—	2	1	no	—
38	D₄×C₂²⋊D₅	C₂²	1	1	yes	characteristic, complemented
39	C₂×#4083	—	2	1	no	—
40	C₂²×#686	C₂²	1	1	yes	characteristic, complemented
41	C₂²×#686	C₂²	1	1	yes	characteristic, complemented
42	C₂×#4062	C₂²	1	1	yes	characteristic, complemented
43	C₂×#4060	C₂²	1	1	yes	characteristic, complemented
44	C₂×#4060	C₂²	1	1	yes	characteristic, complemented
45	C₂×#4060	C₂²	1	1	yes	characteristic, complemented
46	C₂×#4054	C₂²	1	1	yes	characteristic, complemented
47	C₂²×D₄₀	C₂²	1	1	yes	characteristic, complemented
48	#66051	C₂²	1	1	yes	characteristic, complemented
49	#66049	C₂²	1	1	yes	characteristic, complemented
50	#66045	—	2	1	no	—
51	#66038	—	2	1	no	—
52	#66034	—	2	1	no	—
53	#66032	—	2	1	no	—
54	#66032	C₂²	1	1	yes	characteristic, complemented
55	#66029	C₂²	1	1	yes	characteristic, complemented
56	#65988	—	2	1	no	—
57	#65987	—	2	1	no	—
58	#65964	C₂²	1	1	yes	characteristic, complemented
59	#65964	C₂²	1	1	yes	characteristic, complemented
60	#65963	C₂²	1	1	yes	characteristic, complemented
61	#65961	C₂²	1	1	yes	characteristic, complemented
62	#65946	C₂²	1	1	yes	characteristic, complemented
63	#65944	—	2	1	no	—
64	#65943	C₂²	1	1	yes	characteristic, complemented
65	#65941	C₂²	1	1	yes	characteristic, complemented
66	#65940	C₂²	1	1	yes	characteristic, complemented
67	#65939	—	2	1	no	—
68	#65925	—	2	1	no	—
69	#65924	—	2	1	no	—
70	#65923	—	2	1	no	—
71	D₅×#120	—	2	1	no	—
72	#65916	C₂²	1	1	yes	characteristic, complemented
73	#65911	C₂²	1	1	yes	characteristic, complemented
74	#65888	C₂²	1	1	yes	characteristic, complemented
75	#65884	C₂²	1	1	yes	characteristic
76	D₄×D₂₀	C₂²	1	1	yes	characteristic, complemented
77	#65881	C₂²	1	1	yes	characteristic
78	#65879	C₂²	1	1	yes	characteristic, complemented
79	#65866	C₂²	1	1	yes	characteristic, complemented
80	#65861	—	2	1	no	—
81	#65859	—	2	1	no	—
82	#65859	C₂²	1	1	yes	characteristic, complemented
83	#65841	C₂²	1	1	yes	characteristic, complemented
84	C₂×#4041	C₂²	1	1	yes	characteristic, complemented
85	C₅×#490	C₂²	1	1	yes	characteristic, complemented
86	C₅×#482	C₂²	1	1	yes	characteristic, complemented
87	C₅×#480	C₂²	1	1	yes	characteristic, complemented
88	C₅×#478	C₂²	1	1	yes	characteristic, complemented
89	C₅×#468	C₂²	1	1	yes	characteristic, complemented
90	C₅×#465	C₂²	1	1	yes	characteristic, complemented
91	C₅×#460	C₂²	1	1	yes	characteristic, complemented
92	C₅×#450	C₂²	1	1	yes	characteristic, complemented
93	C₅×#450	C₂²	1	1	yes	characteristic, complemented
94	C₅×#440	C₂²	1	1	yes	characteristic, complemented
95	C₅×#435	C₂²	1	1	yes	characteristic, complemented
96	C₅×#418	C₂²	1	1	yes	characteristic, complemented
97	C₂×C₅×#102	C₂²	1	1	yes	characteristic, complemented
98	#65506	C₂²	1	1	yes	characteristic, complemented
99	#65506	C₂²	1	1	yes	characteristic, complemented
100	#65465	C₂²	1	1	yes	characteristic, complemented
101	#65462	C₂²	1	1	yes	characteristic, complemented
102	#65461	C₂²	1	1	yes	characteristic, complemented
103	#65461	C₂²	1	1	yes	characteristic, complemented
104	#65458	C₂²	1	1	yes	characteristic, complemented
105	#65458	C₂²	1	1	yes	characteristic, complemented
106	#65457	C₂²	1	1	yes	characteristic, complemented
107	#65454	C₂²	1	1	yes	characteristic, complemented
108	#65424	C₂²	1	1	yes	characteristic, complemented
109	#65418	C₂²	1	1	yes	characteristic, complemented
110	#65417	C₂²	1	1	yes	characteristic, complemented
111	#65403	C₂²	1	1	yes	characteristic, complemented
112	#65400	C₂²	1	1	yes	characteristic, complemented
113	C₂×#3952	C₂²	1	1	yes	characteristic, complemented
114	#65362	C₂²	1	1	yes	characteristic, complemented
115	#65361	C₂²	1	1	yes	characteristic, complemented
116	#65357	C₂²	1	1	yes	characteristic, complemented
117	#65355	C₂²	1	1	yes	characteristic, complemented
118	#65340	C₂²	1	1	yes	characteristic, complemented
119	#65337	C₂²	1	1	yes	characteristic, complemented
120	#65336	C₂²	1	1	yes	characteristic, complemented
121	#65335	C₂²	1	1	yes	characteristic, complemented
122	#65327	C₂²	1	1	yes	characteristic, complemented
123	#65327	C₂²	1	1	yes	characteristic, complemented
124	#65325	C₂²	1	1	yes	characteristic, complemented
125	#65325	C₂²	1	1	yes	characteristic, complemented
126	#65317	C₂²	1	1	yes	characteristic, complemented
127	C₄×#688	C₂²	1	1	yes	characteristic, complemented
128	#65304	C₂²	1	1	yes	characteristic, complemented
129	C₄×#686	C₂²	1	1	yes	characteristic, complemented
130	D₄×#168	C₂²	1	1	yes	characteristic, complemented
131	#65292	C₂²	1	1	yes	characteristic, complemented
132	#65291	C₂²	1	1	yes	characteristic, complemented
133	#65260	C₂²	1	1	yes	characteristic, complemented
134	C₂×#3941	C₂²	1	1	yes	characteristic, complemented
135	#65179	C₂²	1	1	yes	characteristic, complemented
136	#65175	C₂²	1	1	yes	characteristic, complemented
137	#65175	C₂²	1	1	yes	characteristic, complemented
138	#65174	C₂²	1	1	yes	characteristic, complemented
139	#65174	C₂²	1	1	yes	characteristic, complemented
140	#65172	C₂²	1	1	yes	characteristic, complemented
141	#65171	C₂²	1	1	yes	characteristic, complemented
142	#65161	C₂²	1	1	yes	characteristic, complemented
143	#65158	C₂²	1	1	yes	characteristic, complemented
144	#65156	C₂²	1	1	yes	characteristic, complemented
145	#65155	C₂²	1	1	yes	characteristic, complemented
146	#65154	C₂²	1	1	yes	characteristic, complemented
147	#65133	C₂²	1	1	yes	characteristic, complemented
148	#65132	C₂²	1	1	yes	characteristic, complemented
149	#65129	C₂²	1	1	yes	characteristic, complemented
150	#65127	C₂²	1	1	yes	characteristic, complemented
151	#65108	C₂²	1	1	yes	characteristic, complemented
152	#65104	C₂²	1	1	yes	characteristic, complemented
153	#65100	C₂²	1	1	yes	characteristic, complemented
154	#65099	C₂²	1	1	yes	characteristic, complemented
155	#65076	C₂²	1	1	yes	characteristic, complemented
156	#65076	C₂²	1	1	yes	characteristic, complemented
157	#65075	C₂²	1	1	yes	characteristic, complemented
158	#65075	C₂²	1	1	yes	characteristic, complemented
159	#65074	C₂²	1	1	yes	characteristic, complemented
160	#65071	C₂²	1	1	yes	characteristic, complemented
161	#65071	C₂²	1	1	yes	characteristic, complemented
162	#65071	C₂²	1	1	yes	characteristic, complemented
163	#65070	C₂²	1	1	yes	characteristic, complemented
164	#65070	C₂²	1	1	yes	characteristic, complemented
165	#65070	C₂²	1	1	yes	characteristic, complemented
166	#65070	C₂²	1	1	yes	characteristic, complemented
167	#65070	C₂²	1	1	yes	characteristic, complemented
168	#65068	C₂²	1	1	yes	characteristic, complemented
169	#65066	C₂²	1	1	yes	characteristic, complemented
170	#65064	C₂²	1	1	yes	characteristic, complemented
171	#65062	C₂²	1	1	yes	characteristic
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	#65062	C₂²	1	1	yes	characteristic, complemented
180	#65062	C₂²	1	1	yes	characteristic, complemented
181	#65062	C₂²	1	1	yes	characteristic, complemented
182	#65062	C₂²	1	1	yes	characteristic, complemented
183	#65060	C₂²	1	1	yes	characteristic, complemented
184	#65059	C₂²	1	1	yes	characteristic, complemented
185	#65059	C₂²	1	1	yes	characteristic, complemented
186	D₅×#102	C₂²	1	1	yes	characteristic, complemented
187	#65054	C₂²	1	1	yes	characteristic, complemented
188	#65050	C₂²	1	1	yes	characteristic, complemented
189	#65049	C₂²	1	1	yes	characteristic, complemented
190	#65045	C₂²	1	1	yes	characteristic, complemented
191	#65023	C₂²	1	1	yes	characteristic, complemented
192	#65021	C₂²	1	1	yes	characteristic, complemented
193	#65021	C₂²	1	1	yes	characteristic, complemented
194	#65020	C₂²	1	1	yes	characteristic, complemented
195	#65019	C₂²	1	1	yes	characteristic, complemented
196	#65016	C₂²	1	1	yes	characteristic, complemented
197	#65015	C₂²	1	1	yes	characteristic, complemented
198	#65014	C₂²	1	1	yes	characteristic, complemented
199	#65001	C₂²	1	1	yes	characteristic, complemented
200	#65000	C₂²	1	1	yes	characteristic, complemented
201	#64998	C₂²	1	1	yes	characteristic, complemented
202	#64995	C₂²	1	1	yes	characteristic, complemented
203	#61609	—	5	1	no	maximal, Sylow
204	C₂⁴×D₅	—	2	1	no	—
205	C₂²×C₅×D₄	—	2	1	no	—
206	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
207	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
208	C₂²×C₂²⋊D₅	—	2	1	no	—
209	C₂²×C₂²⋊D₅	—	2	1	no	—
210	C₂²×C₂²⋊D₅	—	2	1	no	—
211	C₂²×C₂²⋊D₅	—	2	1	no	—
212	C₂×#713	C₂³	1	1	yes	characteristic
213	C₂×#713	C₂³	1	1	yes	characteristic, complemented
214	#4144	—	4	2	no	—
215	#4144	—	4	2	no	—
216	C₂×#711	—	2	1	no	—
217	C₂×#711	C₂³	1	1	yes	characteristic
218	C₂×#711	C₂³	1	1	yes	characteristic
219	C₂×D₄×D₅	—	2	1	no	—
220	C₂×D₄×D₅	—	2	1	no	—
221	C₂×D₄×D₅	—	2	1	no	—
222	C₂×D₄×D₅	—	2	1	no	—
223	C₂×D₄×D₅	—	2	1	no	—
224	C₂×D₄×D₅	—	2	1	no	—
225	C₂×D₄×D₅	—	4	2	no	—
226	C₂×D₄×D₅	—	4	2	no	—
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
231	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
232	C₂×#709	—	2	1	no	—
233	C₂×#709	C₂³	1	1	yes	characteristic
234	C₂×#709	C₂³	1	1	yes	characteristic
235	C₂²×D₂₀	—	2	1	no	—
236	C₂²×D₂₀	C₂³	1	1	yes	characteristic
237	C₂²×D₂₀	C₂³	1	1	yes	characteristic
238	C₂²×D₂₀	C₂³	1	1	yes	characteristic, complemented
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×SD₁₆	C₂³	1	1	yes	characteristic, complemented
243	C₂×C₅×M₁₆	C₂³	1	1	yes	characteristic, complemented
244	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
245	C₅×#127	C₂³	1	1	yes	characteristic
246	C₅×#126	—	2	1	no	—
247	C₅×#125	—	2	1	no	—
248	C₅×#125	C₂³	1	1	yes	characteristic, complemented
249	C₅×#123	—	2	1	no	—
250	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
251	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic, complemented
252	C₅×#121	—	2	1	no	—
253	C₅×#121	C₂³	1	1	yes	characteristic
254	C₅×#121	C₂³	1	1	yes	characteristic
255	C₅×#120	—	2	1	no	—
256	C₅×#120	—	2	1	no	—
257	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic, complemented
258	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
259	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
260	C₅×#117	—	2	1	no	—
261	C₅×#117	C₂³	1	1	yes	characteristic, complemented
262	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
263	#4099	—	2	1	no	—
264	#4099	—	2	1	no	—
265	C₂×C₂²⋊Dic₅	—	2	1	no	—
266	#4093	C₂³	1	1	yes	characteristic, complemented
267	#4092	C₂³	1	1	yes	characteristic
268	C₂×#689	C₂³	1	1	yes	characteristic, complemented
269	C₂×#688	C₂³	1	1	yes	characteristic
270	C₂×#688	C₂³	1	1	yes	characteristic
271	#4086	—	2	1	no	—
272	#4086	C₂³	1	1	yes	characteristic
273	#4085	—	2	1	no	—
274	#4085	—	2	1	no	—
275	#4085	—	2	1	no	—
276	#4085	—	2	1	no	—
277	#4085	D₄	1	1	yes	characteristic
278	#4084	—	2	1	no	—
279	#4084	—	2	1	no	—
280	#4084	C₂³	1	1	yes	characteristic
281	#4084	C₂³	1	1	yes	characteristic
282	#4083	—	2	1	no	—
283	#4083	—	2	1	no	—
284	#4083	—	2	1	no	—
285	#4083	—	2	1	no	—
286	#4083	—	2	1	no	—
287	#4083	—	2	1	no	—
288	#4083	—	2	1	no	—
289	#4083	—	2	1	no	—
290	#4083	—	2	1	no	—
291	#4083	—	2	1	no	—
292	#4083	D₄	1	1	yes	characteristic
293	#4082	C₂³	1	1	yes	characteristic
294	#4081	—	2	1	no	—
295	D₄×Dic₅	—	2	1	no	—
296	D₄×Dic₅	C₂³	1	1	yes	characteristic
297	C₂×#686	—	4	2	no	—
298	C₂×#686	—	4	2	no	—
299	C₂×#686	C₂³	1	1	yes	characteristic
300	C₂×#686	C₂³	1	1	yes	characteristic
301	C₂×#686	C₂³	1	1	yes	characteristic
302	C₂×#686	C₂³	1	1	yes	characteristic
303	C₂×#686	C₂³	1	1	yes	characteristic
304	C₂×#686	C₂³	1	1	yes	characteristic
305	C₂×#686	C₂³	1	1	yes	characteristic, complemented
306	C₂×#686	C₂³	1	1	yes	characteristic, complemented
307	C₂×#686	C₂³	1	1	yes	characteristic, complemented
308	#4076	—	2	1	no	—
309	#4076	C₂³	1	1	yes	characteristic
310	#4076	C₂³	1	1	yes	characteristic
311	#4076	C₂³	1	1	yes	characteristic, complemented
312	#4075	—	2	1	no	—
313	C₄×C₂²⋊D₅	—	2	1	no	—
314	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
315	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
316	C₂×#685	—	2	1	no	—
317	C₂×#685	—	2	1	no	—
318	C₂×#685	—	2	1	no	—
319	#4070	C₂³	1	1	yes	characteristic
320	C₂²×#168	C₂³	1	1	yes	characteristic
321	C₂²×#168	C₂³	1	1	yes	characteristic, complemented
322	#4062	—	4	2	no	—
323	#4060	—	4	2	no	—
324	#4060	—	4	2	no	—
325	#4060	—	4	2	no	—
326	#4054	—	4	2	no	—
327	C₂×D₄₀	—	4	2	no	—
328	C₂×D₄₀	C₂³	1	1	yes	characteristic
329	C₂×D₄₀	C₂³	1	1	yes	characteristic
330	C₂×D₄₀	C₂³	1	1	yes	characteristic
331	C₂×D₄₀	C₂³	1	1	yes	characteristic
332	C₂×D₄₀	C₂³	1	1	yes	characteristic
333	C₂×D₄₀	C₂³	1	1	yes	characteristic
334	C₂×#677	C₂³	1	1	yes	characteristic, complemented
335	C₂×#677	C₂³	1	1	yes	characteristic, complemented
336	C₂×#677	C₂³	1	1	yes	characteristic, complemented
337	C₂×#676	C₂³	1	1	yes	characteristic
338	C₂×#676	C₂³	1	1	yes	characteristic
339	C₂×#676	C₂³	1	1	yes	characteristic, complemented
340	C₂×C₈×D₅	C₂³	1	1	yes	characteristic, complemented
341	#4044	—	2	1	no	—
342	#4043	C₂³	1	1	yes	characteristic
343	#4042	—	2	1	no	—
344	#4042	—	2	1	no	—
345	#4042	—	2	1	no	—
346	#4042	D₄	1	1	yes	characteristic
347	#4041	—	2	1	no	—
348	#4041	—	2	1	no	—
349	#4041	—	2	1	no	—
350	#4041	—	2	1	no	—
351	#4041	—	2	1	no	—
352	#4041	—	2	1	no	—
353	#4041	—	2	1	no	—
354	#4041	—	2	1	no	—
355	#4041	—	2	1	no	—
356	#4041	—	2	1	no	—
357	#4041	—	2	1	no	—
358	#4041	C₂³	1	1	yes	characteristic
359	#4041	C₂³	1	1	yes	characteristic
360	#4041	C₂³	1	1	yes	characteristic
361	#4041	C₂³	1	1	yes	characteristic
362	#4041	C₂³	1	1	yes	characteristic
363	#4041	C₂³	1	1	yes	characteristic
364	#4041	C₂³	1	1	yes	characteristic, complemented
365	#4041	C₂³	1	1	yes	characteristic, complemented
366	#4040	—	2	1	no	—
367	#4040	—	2	1	no	—
368	#4040	—	2	1	no	—
369	#4040	—	2	1	no	—
370	#4040	—	2	1	no	—
371	#4040	—	2	1	no	—
372	#4040	—	2	1	no	—
373	#4040	—	2	1	no	—
374	#4040	—	2	1	no	—
375	#4040	D₄	1	1	yes	characteristic
376	#4039	—	2	1	no	—
377	#4039	—	2	1	no	—
378	#4039	C₂³	1	1	yes	characteristic
379	#4039	C₂³	1	1	yes	characteristic, complemented
380	#4039	C₂³	1	1	yes	characteristic, complemented
381	#4038	C₂³	1	1	yes	characteristic
382	#4038	C₂³	1	1	yes	characteristic
383	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
384	#4034	C₂³	1	1	yes	characteristic, complemented
385	#4032	—	2	1	no	—
386	#4031	—	2	1	no	—
387	#4031	—	2	1	no	—
388	#4030	—	2	1	no	—
389	#4030	—	2	1	no	—
390	#4030	—	2	1	no	—
391	#4030	—	2	1	no	—
392	#4030	—	2	1	no	—
393	#4030	D₄	1	1	yes	characteristic
394	#4029	—	2	1	no	—
395	#4029	—	2	1	no	—
396	#4029	D₄	1	1	yes	characteristic
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	—	2	1	no	—
405	#4028	—	2	1	no	—
406	#4028	—	2	1	no	—
407	#4028	D₄	1	1	yes	characteristic
408	#4027	—	2	1	no	—
409	#4027	—	2	1	no	—
410	#4027	—	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	—	2	1	no	—
415	D₅×C₂²⋊C₄	—	2	1	no	—
416	#4024	D₄	1	1	yes	characteristic
417	#4022	—	2	1	no	—
418	#4021	—	2	1	no	—
419	#4021	—	2	1	no	—
420	#4021	—	2	1	no	—
421	#4021	C₂³	1	1	yes	characteristic
422	#4020	—	2	1	no	—
423	#4020	—	2	1	no	—
424	#4020	C₂³	1	1	yes	characteristic, complemented
425	C₄×D₂₀	—	2	1	no	—
426	C₄×D₂₀	C₂³	1	1	yes	characteristic
427	C₄×D₂₀	C₂³	1	1	yes	characteristic
428	C₄×D₂₀	C₂³	1	1	yes	characteristic, complemented
429	#4018	—	2	1	no	—
430	#4018	C₂³	1	1	yes	characteristic
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×C₄⋊C₈	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
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, complemented
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, complemented
447	C₅×#97	C₂³	1	1	yes	characteristic, complemented
448	#3967	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, complemented
452	C₂²⋊#168	C₂³	1	1	yes	characteristic
453	C₂²⋊#168	C₂³	1	1	yes	characteristic, complemented
454	#3953	C₂³	1	1	yes	characteristic
455	#3953	C₂³	1	1	yes	characteristic
456	#3953	C₂³	1	1	yes	characteristic, complemented
457	#3953	C₂³	1	1	yes	characteristic, complemented
458	#3953	C₂³	1	1	yes	characteristic, complemented
459	#3952	C₂³	1	1	yes	characteristic
460	#3952	C₂³	1	1	yes	characteristic
461	#3952	C₂³	1	1	yes	characteristic
462	#3952	C₂³	1	1	yes	characteristic
463	#3952	C₂³	1	1	yes	characteristic
464	#3952	C₂³	1	1	yes	characteristic
465	#3952	C₂³	1	1	yes	characteristic, complemented
466	#3952	C₂³	1	1	yes	characteristic, complemented
467	#3949	C₂³	1	1	yes	characteristic, complemented
468	#3948	C₂³	1	1	yes	characteristic, complemented
469	#3947	C₂³	1	1	yes	characteristic, complemented
470	#3946	C₂³	1	1	yes	characteristic, complemented
471	#3946	C₂³	1	1	yes	characteristic, complemented
472	C₈×Dic₅	C₂³	1	1	yes	characteristic, complemented
473	#3942	C₂³	1	1	yes	characteristic, complemented
474	#3942	C₂³	1	1	yes	characteristic, complemented
475	#3942	C₂³	1	1	yes	characteristic, complemented
476	#3941	C₂³	1	1	yes	characteristic
477	#3941	C₂³	1	1	yes	characteristic
478	#3941	C₂³	1	1	yes	characteristic
479	#3941	C₂³	1	1	yes	characteristic
480	#3941	C₂³	1	1	yes	characteristic
481	#3941	C₂³	1	1	yes	characteristic
482	#3941	C₂³	1	1	yes	characteristic, complemented
483	#3941	C₂³	1	1	yes	characteristic, complemented
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	#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	D₅	1	1	yes	characteristic, complemented
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	—	5	1	no	—
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	C₂⁴×C₅	—	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	C₂⁴	1	1	yes	characteristic
537	C₂×C₅×D₄	—	2	2	no	—
538	C₂×C₅×D₄	—	2	2	no	—
539	C₂×C₅×D₄	—	2	1	no	—
540	C₂×C₅×D₄	—	2	1	no	—
541	C₂×C₅×D₄	—	2	1	no	—
542	C₂×C₅×D₄	—	2	1	no	—
543	C₂×C₅×D₄	—	2	1	no	—
544	C₂×C₅×D₄	—	2	1	no	—
545	C₂×C₅×D₄	—	4	1	no	—
546	C₂×C₅×D₄	—	4	1	no	—
547	C₂×C₅×D₄	—	8	2	no	—
548	C₂×C₅×D₄	C₂×D₄	1	1	yes	characteristic
549	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
550	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
551	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
552	C₂²×C₄×C₅	—	2	1	no	—
553	C₂²×C₄×C₅	—	2	1	no	—
554	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
555	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
556	C₂×C₂²⋊D₅	—	2	1	no	—
557	C₂×C₂²⋊D₅	—	2	1	no	—
558	C₂×C₂²⋊D₅	—	2	1	no	—
559	C₂×C₂²⋊D₅	—	2	1	no	—
560	C₂×C₂²⋊D₅	—	2	1	no	—
561	C₂×C₂²⋊D₅	—	2	1	no	—
562	C₂×C₂²⋊D₅	—	2	1	no	—
563	C₂×C₂²⋊D₅	—	2	1	no	—
564	C₂×C₂²⋊D₅	—	2	1	no	—
565	C₂×C₂²⋊D₅	—	2	1	no	—
566	C₂×C₂²⋊D₅	—	2	1	no	—
567	C₂×C₂²⋊D₅	—	2	1	no	—
568	C₂×C₂²⋊D₅	—	2	1	no	—
569	C₂×C₂²⋊D₅	—	2	1	no	—
570	C₂×C₂²⋊D₅	—	2	1	no	—
571	C₂×C₂²⋊D₅	—	4	4	no	—
572	C₂×C₂²⋊D₅	—	4	4	no	—
573	C₂×C₂²⋊D₅	—	4	4	no	—
574	C₂×C₂²⋊D₅	—	8	2	no	—
575	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
576	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
577	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
578	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
579	C₂²×Dic₅	—	2	1	no	—
580	C₂²×Dic₅	—	2	1	no	—
581	C₂²×Dic₅	—	2	1	no	—
582	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
583	#713	—	4	1	no	—
584	#713	—	4	1	no	—
585	#713	—	4	1	no	—
586	#713	—	4	1	no	—
587	#711	—	2	2	no	—
588	#711	—	4	1	no	—
589	#711	—	4	1	no	—
590	#711	—	4	1	no	—
591	#711	—	4	4	no	—
592	D₄×D₅	—	2	2	no	—
593	D₄×D₅	—	2	2	no	—
594	D₄×D₅	—	2	2	no	—
595	D₄×D₅	—	2	2	no	—
596	D₄×D₅	—	2	2	no	—
597	D₄×D₅	—	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	4	no	—
603	D₄×D₅	—	4	4	no	—
604	D₄×D₅	—	4	4	no	—
605	D₄×D₅	—	8	2	no	—
606	D₄×D₅	—	8	2	no	—
607	D₄×D₅	—	8	2	no	—
608	#709	—	2	2	no	—
609	#709	—	4	1	no	—
610	#709	—	4	1	no	—
611	#709	—	4	1	no	—
612	#709	—	8	2	no	—
613	C₂×D₂₀	—	2	2	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	—	2	1	no	—
628	C₂×D₂₀	—	2	1	no	—
629	C₂×D₂₀	—	4	1	no	—
630	C₂×D₂₀	—	4	1	no	—
631	C₂×D₂₀	—	4	1	no	—
632	C₂×D₂₀	—	4	1	no	—
633	C₂×D₂₀	—	4	1	no	—
634	C₂×D₂₀	—	8	2	no	—
635	C₂×D₂₀	C₂×D₄	1	1	yes	characteristic
636	C₂×D₂₀	C₂×D₄	1	1	yes	characteristic
637	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
638	C₂×D₂₀	C₂⁴	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×C₄×D₅	—	2	1	no	—
643	C₂×C₄×D₅	—	2	1	no	—
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×Dic₁₀	—	2	1	no	—
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	—	4	1	no	—
663	C₅×SD₁₆	—	4	1	no	—
664	C₅×M₁₆	—	4	1	no	—
665	C₂×C₅×C₈	—	4	1	no	—
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	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
670	C₅×C₄⋊C₄	—	2	1	no	—
671	C₅×C₄⋊C₄	—	2	1	no	—
672	C₅×C₄⋊C₄	—	2	1	no	—
673	C₅×C₄⋊C₄	—	2	1	no	—
674	C₅×C₄⋊C₄	—	2	1	no	—
675	C₅×C₄⋊C₄	—	2	1	no	—
676	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
677	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
678	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
679	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
680	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
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	C₂×D₄	1	1	yes	characteristic
688	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
689	C₄²×C₅	—	2	1	no	—
690	C₄²×C₅	—	2	1	no	—
691	C₄²×C₅	C₂⁴	1	1	yes	characteristic
692	C₂²⋊Dic₅	—	2	1	no	—
693	C₂²⋊Dic₅	—	2	1	no	—
694	C₂²⋊Dic₅	—	2	1	no	—
695	C₂²⋊Dic₅	—	2	1	no	—
696	C₂²⋊Dic₅	—	2	1	no	—
697	C₂²⋊Dic₅	—	2	1	no	—
698	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
699	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
700	#689	—	4	1	no	—
701	#688	—	2	2	no	—
702	#688	—	4	1	no	—
703	#686	—	2	2	no	—
704	#686	—	2	2	no	—
705	#686	—	2	2	no	—
706	#686	—	4	1	no	—
707	#686	—	4	1	no	—
708	#686	—	4	1	no	—
709	#686	—	4	1	no	—
710	#686	—	4	1	no	—
711	#686	—	4	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	—	2	1	no	—
733	#685	—	2	1	no	—
734	#685	—	2	1	no	—
735	#685	—	2	1	no	—
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	#685	C₂×D₄	1	1	yes	characteristic
741	#685	C₂×D₄	1	1	yes	characteristic
742	C₄⋊Dic₅	—	2	1	no	—
743	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
744	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
745	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
746	#683	—	2	1	no	—
747	#683	—	2	1	no	—
748	#683	—	2	1	no	—
749	#683	—	2	1	no	—
750	#683	C₂×D₄	1	1	yes	characteristic
751	#683	C₂×D₄	1	1	yes	characteristic
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	C₂⁴	1	1	yes	characteristic
757	C₂×#168	—	4	1	no	—
758	C₂×#168	—	4	1	no	—
759	C₂×#168	C₂⁴	1	1	yes	characteristic
760	C₂×#168	C₂⁴	1	1	yes	characteristic
761	C₂×#168	C₂⁴	1	1	yes	characteristic
762	C₂×#168	C₂⁴	1	1	yes	characteristic
763	D₄₀	—	2	2	no	—
764	D₄₀	—	2	2	no	—
765	D₄₀	—	2	2	no	—
766	D₄₀	—	4	1	no	—
767	D₄₀	—	4	1	no	—
768	D₄₀	—	4	1	no	—
769	#677	—	4	1	no	—
770	#677	—	4	1	no	—
771	#677	—	4	1	no	—
772	#676	—	4	1	no	—
773	#676	—	4	1	no	—
774	#676	—	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	C₂×D₅	1	1	yes	characteristic, complemented
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	—	10	1	no	—
808	D₄²	—	10	1	no	—
809	D₄²	C₂×D₅	1	1	yes	characteristic
810	#542	—	5	1	no	—
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	—	5	1	no	—
829	#496	—	5	1	no	—
830	#496	—	5	1	no	—
831	#495	—	5	1	no	—
832	#493	—	5	1	no	—
833	#490	C₂×D₅	1	1	yes	characteristic, complemented
834	#489	—	5	1	no	—
835	#488	—	5	1	no	—
836	#486	—	5	1	no	—
837	#485	—	5	1	no	—
838	#485	—	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	#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	C₂×D₅	1	1	yes	characteristic, complemented
849	#478	—	5	1	no	—
850	#478	C₂×D₅	1	1	yes	characteristic, complemented
851	#476	—	5	1	no	—
852	#474	—	5	1	no	—
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	C₂×D₅	1	1	yes	characteristic, complemented
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	C₂×D₅	1	1	yes	characteristic, complemented
869	#464	—	5	1	no	—
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	#460	C₂×D₅	1	1	yes	characteristic, complemented
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	C₂×D₅	1	1	yes	characteristic, complemented
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	—	5	1	no	—
917	#442	—	5	1	no	—
918	#442	—	5	1	no	—
919	#442	—	5	1	no	—
920	#440	C₂×D₅	1	1	yes	characteristic, complemented
921	C₄×SD₁₆	—	5	1	no	—
922	C₄×D₈	—	5	1	no	—
923	C₄×D₈	—	5	1	no	—
924	C₄×D₈	—	5	1	no	—
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	C₂×D₅	1	1	yes	characteristic, complemented
931	C₈×D₄	—	5	1	no	—
932	C₈×D₄	—	5	1	no	—
933	#433	—	5	1	no	—
934	#433	—	5	1	no	—
935	#418	—	5	1	no	—
936	#418	—	5	1	no	—
937	#418	C₂×D₅	1	1	yes	characteristic, complemented
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	C₂×D₅	1	1	yes	characteristic, complemented
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	1	no	—
948	C₂³×C₅	—	2	1	no	—
949	C₂³×C₅	—	2	1	no	—
950	C₂³×C₅	—	4	2	no	—
951	C₂³×C₅	—	4	2	no	—
952	C₂³×C₅	—	4	2	no	—
953	C₂³×C₅	—	8	1	no	—
954	C₂³×C₅	—	8	1	no	—
955	C₂³×C₅	—	8	1	no	—
956	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
957	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
958	C₂²×D₅	—	2	2	no	—
959	C₂²×D₅	—	2	1	no	—
960	C₂²×D₅	—	2	4	no	—
961	C₂²×D₅	—	2	1	no	—
962	C₂²×D₅	—	2	1	no	—
963	C₂²×D₅	—	2	1	no	—
964	C₂²×D₅	—	2	1	no	—
965	C₂²×D₅	—	4	1	no	—
966	C₂²×D₅	—	4	1	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	—	4	2	no	—
975	C₂²×D₅	—	4	2	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	1	no	—
990	C₂²×D₅	—	8	16	no	—
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×D₄	—	2	2	no	—
997	C₅×D₄	—	2	1	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	—	4	2	no	—
1003	C₅×D₄	—	4	2	no	—
1004	C₅×D₄	—	4	2	no	—
1005	C₅×D₄	—	8	1	no	—
1006	C₅×D₄	—	8	1	no	—
1007	C₅×D₄	—	8	1	no	—
1008	C₅×D₄	H(5,𝔽₂)	1	2	yes	—
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	—	2	1	no	—
1013	C₂×C₄×C₅	—	2	1	no	—
1014	C₂×C₄×C₅	—	2	1	no	—
1015	C₂×C₄×C₅	—	2	1	no	—
1016	C₂×C₄×C₅	—	2	1	no	—
1017	C₂×C₄×C₅	—	2	1	no	—
1018	C₂×C₄×C₅	—	4	2	no	—
1019	C₂×C₄×C₅	—	8	1	no	—
1020	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
1021	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
1022	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
1023	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
1024	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
1025	C₂²⋊D₅	—	2	4	no	—
1026	C₂²⋊D₅	—	2	2	no	—
1027	C₂²⋊D₅	—	4	1	no	—
1028	C₂²⋊D₅	—	4	1	no	—
1029	C₂²⋊D₅	—	4	1	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	—	4	2	no	—
1035	C₂²⋊D₅	—	4	2	no	—
1036	C₂²⋊D₅	—	4	2	no	—
1037	C₂²⋊D₅	—	4	2	no	—
1038	C₂²⋊D₅	—	4	2	no	—
1039	C₂²⋊D₅	—	8	1	no	—
1040	C₂²⋊D₅	—	8	1	no	—
1041	C₂²⋊D₅	—	8	1	no	—
1042	C₂²⋊D₅	—	8	1	no	—
1043	C₂²⋊D₅	—	8	1	no	—
1044	C₂×Dic₅	—	2	1	no	—
1045	C₂×Dic₅	—	2	1	no	—
1046	C₂×Dic₅	—	2	1	no	—
1047	C₂×Dic₅	—	4	1	no	—
1048	C₂×Dic₅	—	4	2	no	—
1049	C₂×Dic₅	—	4	2	no	—
1050	C₂×Dic₅	—	8	1	no	—
1051	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1052	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1053	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1054	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1055	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
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	—	2	1	no	—
1063	D₂₀	—	2	1	no	—
1064	D₂₀	—	2	1	no	—
1065	D₂₀	—	4	1	no	—
1066	D₂₀	—	4	1	no	—
1067	D₂₀	—	4	2	no	—
1068	D₂₀	—	8	1	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	H(5,𝔽₂)	1	2	yes	—
1083	C₄×D₅	—	2	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	—	4	1	no	—
1090	C₄×D₅	—	4	1	no	—
1091	C₄×D₅	—	4	2	no	—
1092	C₄×D₅	—	8	1	no	—
1093	C₄×D₅	—	8	1	no	—
1094	C₄×D₅	—	8	1	no	—
1095	C₄×D₅	—	8	1	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	Dic₁₀	—	2	1	no	—
1101	Dic₁₀	—	2	1	no	—
1102	Dic₁₀	—	4	1	no	—
1103	Dic₁₀	—	8	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	—	2	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	—	20	2	no	—
1144	C₂²×D₄	—	20	2	no	—
1145	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
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	C₂²×D₅	1	1	yes	characteristic
1160	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1161	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic, complemented
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	—	5	1	no	—
1176	C₂×D₈	—	5	1	no	—
1177	C₂×D₈	—	20	2	no	—
1178	C₂×D₈	—	20	2	no	—
1179	C₂×D₈	—	20	2	no	—
1180	C₂×M₁₆	—	5	1	no	—
1181	C₂×M₁₆	—	5	1	no	—
1182	C₂×M₁₆	—	5	1	no	—
1183	C₂×M₁₆	C₂²×D₅	1	1	yes	characteristic, complemented
1184	C₂²×C₈	—	5	1	no	—
1185	C₂²×C₈	—	5	1	no	—
1186	C₂²×C₈	—	5	1	no	—
1187	C₂²×C₈	C₂²×D₅	1	1	yes	characteristic
1188	C₄⋊Q₈	—	5	1	no	—
1189	#127	—	5	1	no	—
1190	#127	—	5	1	no	—
1191	#127	—	10	1	no	—
1192	#127	—	10	1	no	—
1193	#127	—	10	1	no	—
1194	#127	C₂²×D₅	1	1	yes	characteristic
1195	#126	—	2	1	no	—
1196	#126	—	10	1	no	—
1197	#126	—	10	1	no	—
1198	#125	—	2	1	no	—
1199	#125	C₂²×D₅	1	1	yes	characteristic, complemented
1200	#124	—	5	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	—	10	1	no	—
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	—	5	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	—	10	1	no	—
1231	C₂²⋊Q₈	—	10	1	no	—
1232	C₂²⋊Q₈	—	10	1	no	—
1233	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1234	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic, complemented
1235	#121	—	2	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	C₂²×D₅	1	1	yes	characteristic
1275	#121	C₂²×D₅	1	1	yes	characteristic
1276	#120	—	2	1	no	—
1277	#120	—	2	1	no	—
1278	#120	—	5	1	no	—
1279	#120	—	5	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	—	5	1	no	—
1304	C₄×D₄	—	5	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	—	5	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	—	10	1	no	—
1318	C₄×D₄	—	10	1	no	—
1319	C₄×D₄	—	10	1	no	—
1320	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1321	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1322	#117	—	2	1	no	—
1323	#117	—	5	1	no	—
1324	#117	—	5	1	no	—
1325	#117	—	5	1	no	—
1326	#117	—	10	1	no	—
1327	#117	C₂²×D₅	1	1	yes	characteristic, complemented
1328	C₂×C₄⋊C₄	—	5	1	no	—
1329	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1330	C₂×C₂²⋊C₄	—	10	1	no	—
1331	C₂×C₂²⋊C₄	—	10	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	—	5	1	no	—
1346	#106	C₂²×D₅	1	1	yes	characteristic, complemented
1347	C₄⋊C₈	—	5	1	no	—
1348	C₄⋊C₈	—	5	1	no	—
1349	C₄⋊C₈	—	5	1	no	—
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	—	5	1	no	—
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	C₂²×D₅	1	1	yes	characteristic
1375	#102	C₂²×D₅	1	1	yes	characteristic
1376	#102	C₂²×D₅	1	1	yes	characteristic
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, complemented
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, complemented
1395	#97	—	5	1	no	—
1396	#97	C₂²×D₅	1	1	yes	characteristic, complemented
1397	C₄×C₈	—	5	1	no	—
1398	C₄×C₈	—	5	1	no	—
1399	C₂²×C₅	—	2	1	no	—
1400	C₂²×C₅	—	2	1	no	—
1401	C₂²×C₅	—	2	1	no	—
1402	C₂²×C₅	—	2	2	no	—
1403	C₂²×C₅	—	2	1	no	—
1404	C₂²×C₅	—	2	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	—	4	1	no	—
1412	C₂²×C₅	—	4	1	no	—
1413	C₂²×C₅	—	8	4	no	—
1414	C₂²×C₅	—	16	2	no	—
1415	C₂²×C₅	#576	1	2	yes	—
1416	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
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	2	no	—
1424	C₂×D₅	—	2	1	no	—
1425	C₂×D₅	—	2	1	no	—
1426	C₂×D₅	—	2	1	no	—
1427	C₂×D₅	—	4	4	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	—	4	1	no	—
1441	C₂×D₅	—	4	1	no	—
1442	C₂×D₅	—	8	4	no	—
1443	C₂×D₅	—	8	4	no	—
1444	C₂×D₅	—	8	4	no	—
1445	C₂×D₅	—	8	4	no	—
1446	C₂×D₅	—	8	4	no	—
1447	C₂×D₅	—	16	2	no	—
1448	C₂×D₅	—	16	2	no	—
1449	C₂×D₅	—	16	2	no	—
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	—	4	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	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1460	C₄×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1461	Dic₅	—	2	1	no	—
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	—	2	1	no	—
1471	C₂⁴	—	5	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	—	5	1	no	—
1498	C₂×Q₈	—	5	1	no	—
1499	C₂×Q₈	—	10	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	—	2	1	no	—
1506	C₂×D₄	—	2	1	no	—
1507	C₂×D₄	—	2	1	no	—
1508	C₂×D₄	—	2	1	no	—
1509	C₂×D₄	—	4	1	no	—
1510	C₂×D₄	—	4	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	—	5	1	no	—
1518	C₂×D₄	—	5	1	no	—
1519	C₂×D₄	—	5	1	no	—
1520	C₂×D₄	—	5	1	no	—
1521	C₂×D₄	—	5	1	no	—
1522	C₂×D₄	—	8	2	no	—
1523	C₂×D₄	—	10	2	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	1	no	—
1538	C₂×D₄	—	10	1	no	—
1539	C₂×D₄	—	10	1	no	—
1540	C₂×D₄	—	10	1	no	—
1541	C₂×D₄	—	10	2	no	—
1542	C₂×D₄	—	10	2	no	—
1543	C₂×D₄	—	10	2	no	—
1544	C₂×D₄	—	10	2	no	—
1545	C₂×D₄	—	10	2	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	—	10	1	no	—
1558	C₂×D₄	—	10	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	D₄×D₅	1	1	yes	characteristic
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	—	5	1	no	—
1587	C₂²×C₄	—	5	1	no	—
1588	C₂²×C₄	—	5	1	no	—
1589	C₂²×C₄	—	5	1	no	—
1590	C₂²×C₄	—	5	1	no	—
1591	C₂²×C₄	—	5	1	no	—
1592	C₂²×C₄	—	10	1	no	—
1593	C₂²×C₄	—	10	1	no	—
1594	C₂²×C₄	—	10	1	no	—
1595	C₂²×C₄	—	10	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	—	20	1	no	—
1605	C₂²×C₄	—	20	1	no	—
1606	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1607	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1608	Q₁₆	—	20	1	no	—
1609	SD₁₆	—	2	2	no	—
1610	SD₁₆	—	4	1	no	—
1611	SD₁₆	—	4	1	no	—
1612	SD₁₆	—	10	2	no	—
1613	SD₁₆	—	20	1	no	—
1614	SD₁₆	—	20	1	no	—
1615	SD₁₆	—	20	1	no	—
1616	SD₁₆	—	20	1	no	—
1617	D₈	—	10	2	no	—
1618	D₈	—	10	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	—	4	1	no	—
1633	M₁₆	—	20	1	no	—
1634	M₁₆	—	20	1	no	—
1635	M₁₆	—	20	1	no	—
1636	C₂×C₈	—	4	1	no	—
1637	C₂×C₈	—	5	1	no	—
1638	C₂×C₈	—	5	1	no	—
1639	C₂×C₈	—	5	1	no	—
1640	C₂×C₈	—	5	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	—	2	1	no	—
1652	C₄⋊C₄	—	2	1	no	—
1653	C₄⋊C₄	—	2	1	no	—
1654	C₄⋊C₄	—	5	1	no	—
1655	C₄⋊C₄	—	5	1	no	—
1656	C₄⋊C₄	—	5	1	no	—
1657	C₄⋊C₄	—	5	1	no	—
1658	C₄⋊C₄	—	5	1	no	—
1659	C₄⋊C₄	—	5	1	no	—
1660	C₄⋊C₄	—	5	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	—	10	1	no	—
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	—	5	1	no	—
1678	C₂²⋊C₄	—	5	1	no	—
1679	C₂²⋊C₄	—	5	1	no	—
1680	C₂²⋊C₄	—	5	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	—	10	1	no	—
1686	C₂²⋊C₄	—	10	1	no	—
1687	C₂²⋊C₄	—	10	1	no	—
1688	C₂²⋊C₄	—	10	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	—	5	1	no	—
1720	C₄²	—	10	1	no	—
1721	C₄²	—	10	1	no	—
1722	C₄²	C₂³×D₅	1	1	yes	characteristic
1723	C₂×C₅	—	2	2	no	—
1724	C₂×C₅	—	4	2	no	—
1725	C₂×C₅	—	4	1	no	—
1726	C₂×C₅	—	8	1	no	—
1727	C₂×C₅	—	8	1	no	—
1728	C₂×C₅	#3484	1	1	yes	characteristic
1729	C₂×C₅	C₂×#576	1	1	yes	characteristic
1730	C₂×C₅	#3585	1	1	yes	characteristic
1731	D₅	—	4	1	no	—
1732	D₅	—	4	1	no	—
1733	D₅	—	4	1	no	—
1734	D₅	—	4	2	no	—
1735	D₅	—	8	1	no	—
1736	D₅	—	8	1	no	—
1737	D₅	—	8	1	no	—
1738	D₅	—	8	1	no	—
1739	C₂³	—	2	1	no	—
1740	C₂³	—	2	1	no	—
1741	C₂³	—	2	1	no	—
1742	C₂³	—	4	2	no	—
1743	C₂³	—	4	2	no	—
1744	C₂³	—	4	2	no	—
1745	C₂³	—	5	1	no	—
1746	C₂³	—	5	1	no	—
1747	C₂³	—	5	1	no	—
1748	C₂³	—	8	1	no	—
1749	C₂³	—	8	1	no	—
1750	C₂³	—	8	1	no	—
1751	C₂³	—	10	4	no	—
1752	C₂³	—	10	2	no	—
1753	C₂³	—	10	1	no	—
1754	C₂³	—	10	1	no	—
1755	C₂³	—	10	1	no	—
1756	C₂³	—	10	1	no	—
1757	C₂³	—	10	1	no	—
1758	C₂³	—	20	1	no	—
1759	C₂³	—	20	1	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	16	no	—
1784	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1785	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1786	Q₈	—	2	1	no	—
1787	Q₈	—	2	1	no	—
1788	Q₈	—	10	1	no	—
1789	Q₈	—	10	1	no	—
1790	Q₈	—	20	1	no	—
1791	Q₈	—	40	1	no	—
1792	D₄	—	2	2	no	—
1793	D₄	—	2	1	no	—
1794	D₄	—	2	1	no	—
1795	D₄	—	2	1	no	—
1796	D₄	—	2	1	no	—
1797	D₄	—	2	1	no	—
1798	D₄	—	4	2	no	—
1799	D₄	—	4	2	no	—
1800	D₄	—	4	2	no	—
1801	D₄	—	5	2	no	—
1802	D₄	—	8	1	no	—
1803	D₄	—	8	1	no	—
1804	D₄	—	8	1	no	—
1805	D₄	—	10	4	no	—
1806	D₄	—	10	2	no	—
1807	D₄	—	10	1	no	—
1808	D₄	—	10	1	no	—
1809	D₄	—	10	1	no	—
1810	D₄	—	10	1	no	—
1811	D₄	—	10	1	no	—
1812	D₄	—	10	1	no	—
1813	D₄	—	10	1	no	—
1814	D₄	—	10	1	no	—
1815	D₄	—	10	1	no	—
1816	D₄	—	20	1	no	—
1817	D₄	—	20	1	no	—
1818	D₄	—	20	2	no	—
1819	D₄	—	20	1	no	—
1820	D₄	—	20	1	no	—
1821	D₄	—	20	1	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	—	20	2	no	—
1829	D₄	—	20	2	no	—
1830	D₄	—	20	2	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	—	40	1	no	—
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	—	2	1	no	—
1859	C₂×C₄	—	2	1	no	—
1860	C₂×C₄	—	4	2	no	—
1861	C₂×C₄	—	5	1	no	—
1862	C₂×C₄	—	5	1	no	—
1863	C₂×C₄	—	5	1	no	—
1864	C₂×C₄	—	5	1	no	—
1865	C₂×C₄	—	5	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	—	20	1	no	—
1877	C₂×C₄	—	20	1	no	—
1878	C₂×C₄	—	20	2	no	—
1879	C₂×C₄	—	20	1	no	—
1880	C₂×C₄	—	20	2	no	—
1881	C₂×C₄	—	20	2	no	—
1882	C₂×C₄	—	40	1	no	—
1883	C₂×C₄	—	40	1	no	—
1884	C₂×C₄	—	40	1	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	—	40	1	no	—
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	1	no	—
1907	C₂²	—	2	1	no	—
1908	C₂²	—	2	2	no	—
1909	C₂²	—	2	1	no	—
1910	C₂²	—	2	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	—	4	1	no	—
1918	C₂²	—	4	1	no	—
1919	C₂²	—	8	4	no	—
1920	C₂²	—	10	1	no	—
1921	C₂²	—	10	1	no	—
1922	C₂²	—	10	1	no	—
1923	C₂²	—	10	2	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	—	16	2	no	—
1931	C₂²	—	20	4	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	#66108	1	2	yes	—
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	—	4	1	no	—
1961	C₄	—	4	1	no	—
1962	C₄	—	4	1	no	—
1963	C₄	—	4	1	no	—
1964	C₄	—	4	1	no	—
1965	C₄	—	10	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	D₅×H(5,𝔽₂)	1	1	yes	characteristic
1975	C₂	—	2	2	no	—
1976	C₂	—	4	1	no	—
1977	C₂	—	4	2	no	—
1978	C₂	—	8	1	no	—
1979	C₂	—	8	1	no	—
1980	C₂	—	20	1	no	—
1981	C₂	—	20	1	no	—
1982	C₂	—	20	1	no	—
1983	C₂	—	20	2	no	—
1984	C₂	—	40	1	no	—
1985	C₂	—	40	1	no	—
1986	C₂	—	40	1	no	—
1987	C₂	—	40	1	no	—
1988	C₂	#10618563	1	1	yes	characteristic
1989	C₂	C₂×#66108	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×#3310	C₂
socle	C₂²×C₅	C₂³×D₄
hypercenter	#3310	D₅
hypocenter	C₅	#61609
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #3310

Complements

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

N	H ≅ G/N	type
1. #10618747	C₂	semidirect
2. #10618521	C₂	semidirect
3. C₅×#3310	C₂	semidirect
4. #10615329	C₂	semidirect
5. D₄×#686	C₂	semidirect
6. #10613458	C₂	semidirect
7. #10613450	C₂	semidirect
8. #10613133	C₂	semidirect
9. #10613131	C₂	semidirect
10. #10613033	C₂	semidirect
11. #10613031	C₂	semidirect
12. #10612923	C₂	semidirect
13. #10612877	C₂	semidirect
14. #10612570	C₂	semidirect
15. #10612546	C₂	semidirect
16. #10612405	C₂	semidirect
17. #10612397	C₂	semidirect
18. #10612136	C₂	semidirect
19. #10612123	C₂	semidirect
20. #10611899	C₂	semidirect
21. #10611897	C₂	semidirect
22. #10611880	C₂	semidirect
23. #10611877	C₂	semidirect
24. #10611527	C₂	semidirect
25. #10611516	C₂	semidirect
26. #10611224	C₂	semidirect
27. #10611218	C₂	semidirect
28. #10610672	C₂	semidirect
29. #10610659	C₂	semidirect
30. #10610492	C₂	semidirect
31. C₂×#65062	C₂	semidirect
32. C₂×#4144	C₂²	semidirect
33. C₂²×D₄×D₅	C₂²	semidirect
34. C₅×#552	C₂²	semidirect
36. #66140	C₂²	semidirect
38. D₄×C₂²⋊D₅	C₂²	semidirect
40. C₂²×#686	C₂²	semidirect
41. C₂²×#686	C₂²	semidirect
42. C₂×#4062	C₂²	semidirect
43. C₂×#4060	C₂²	semidirect
44. C₂×#4060	C₂²	semidirect
45. C₂×#4060	C₂²	semidirect
46. C₂×#4054	C₂²	semidirect
47. C₂²×D₄₀	C₂²	semidirect
48. #66051	C₂²	semidirect
49. #66049	C₂²	semidirect
54. #66032	C₂²	semidirect
55. #66029	C₂²	semidirect
58. #65964	C₂²	semidirect
59. #65964	C₂²	semidirect
60. #65963	C₂²	semidirect
61. #65961	C₂²	semidirect
62. #65946	C₂²	semidirect
64. #65943	C₂²	semidirect
65. #65941	C₂²	semidirect
66. #65940	C₂²	semidirect
72. #65916	C₂²	semidirect
73. #65911	C₂²	semidirect
74. #65888	C₂²	semidirect
76. D₄×D₂₀	C₂²	semidirect
78. #65879	C₂²	semidirect
79. #65866	C₂²	semidirect
82. #65859	C₂²	semidirect
83. #65841	C₂²	semidirect
84. C₂×#4041	C₂²	semidirect
85. C₅×#490	C₂²	semidirect
86. C₅×#482	C₂²	semidirect
87. C₅×#480	C₂²	semidirect
88. C₅×#478	C₂²	semidirect
89. C₅×#468	C₂²	semidirect
90. C₅×#465	C₂²	semidirect
91. C₅×#460	C₂²	semidirect
92. C₅×#450	C₂²	semidirect
93. C₅×#450	C₂²	semidirect
94. C₅×#440	C₂²	semidirect
95. C₅×#435	C₂²	semidirect
96. C₅×#418	C₂²	semidirect
97. C₂×C₅×#102	C₂²	semidirect
98. #65506	C₂²	semidirect
99. #65506	C₂²	semidirect
100. #65465	C₂²	semidirect
101. #65462	C₂²	semidirect
102. #65461	C₂²	semidirect
103. #65461	C₂²	semidirect
104. #65458	C₂²	semidirect
105. #65458	C₂²	semidirect
106. #65457	C₂²	semidirect
107. #65454	C₂²	semidirect
108. #65424	C₂²	semidirect
109. #65418	C₂²	semidirect
110. #65417	C₂²	semidirect
111. #65403	C₂²	semidirect
112. #65400	C₂²	semidirect
113. C₂×#3952	C₂²	semidirect
114. #65362	C₂²	semidirect
115. #65361	C₂²	semidirect
116. #65357	C₂²	semidirect
117. #65355	C₂²	semidirect
118. #65340	C₂²	semidirect
119. #65337	C₂²	semidirect
120. #65336	C₂²	semidirect
121. #65335	C₂²	semidirect
122. #65327	C₂²	semidirect
123. #65327	C₂²	semidirect
124. #65325	C₂²	semidirect
125. #65325	C₂²	semidirect
126. #65317	C₂²	semidirect
127. C₄×#688	C₂²	semidirect
128. #65304	C₂²	semidirect
129. C₄×#686	C₂²	semidirect
130. D₄×#168	C₂²	semidirect
131. #65292	C₂²	semidirect
132. #65291	C₂²	semidirect
133. #65260	C₂²	semidirect
134. C₂×#3941	C₂²	semidirect
135. #65179	C₂²	semidirect
136. #65175	C₂²	semidirect
137. #65175	C₂²	semidirect
138. #65174	C₂²	semidirect
139. #65174	C₂²	semidirect
140. #65172	C₂²	semidirect
141. #65171	C₂²	semidirect
142. #65161	C₂²	semidirect
143. #65158	C₂²	semidirect
144. #65156	C₂²	semidirect
145. #65155	C₂²	semidirect
146. #65154	C₂²	semidirect
147. #65133	C₂²	semidirect
148. #65132	C₂²	semidirect
149. #65129	C₂²	semidirect
150. #65127	C₂²	semidirect
151. #65108	C₂²	semidirect
152. #65104	C₂²	semidirect
153. #65100	C₂²	semidirect
154. #65099	C₂²	semidirect
155. #65076	C₂²	semidirect
156. #65076	C₂²	semidirect
157. #65075	C₂²	semidirect
158. #65075	C₂²	semidirect
159. #65074	C₂²	semidirect
160. #65071	C₂²	semidirect
161. #65071	C₂²	semidirect
162. #65071	C₂²	semidirect
163. #65070	C₂²	semidirect
164. #65070	C₂²	semidirect
165. #65070	C₂²	semidirect
166. #65070	C₂²	semidirect
167. #65070	C₂²	semidirect
168. #65068	C₂²	semidirect
169. #65066	C₂²	semidirect
170. #65064	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. #65062	C₂²	semidirect
180. #65062	C₂²	semidirect
181. #65062	C₂²	semidirect
182. #65062	C₂²	semidirect
183. #65060	C₂²	semidirect
184. #65059	C₂²	semidirect
185. #65059	C₂²	semidirect
186. D₅×#102	C₂²	semidirect
187. #65054	C₂²	semidirect
188. #65050	C₂²	semidirect
189. #65049	C₂²	semidirect
190. #65045	C₂²	semidirect
191. #65023	C₂²	semidirect
192. #65021	C₂²	semidirect
193. #65021	C₂²	semidirect
194. #65020	C₂²	semidirect
195. #65019	C₂²	semidirect
196. #65016	C₂²	semidirect
197. #65015	C₂²	semidirect
198. #65014	C₂²	semidirect
199. #65001	C₂²	semidirect
200. #65000	C₂²	semidirect
201. #64998	C₂²	semidirect
202. #64995	C₂²	semidirect
213. C₂×#713	C₂³	semidirect
238. C₂²×D₂₀	C₂³	semidirect
242. C₂×C₅×SD₁₆	C₂³	semidirect
243. C₂×C₅×M₁₆	C₂³	semidirect
248. C₅×#125	C₂³	semidirect
251. C₅×C₂²⋊Q₈	C₂³	semidirect
257. C₄×C₅×Q₈	C₂³	semidirect
261. C₅×#117	C₂³	semidirect
266. #4093	C₂³	semidirect
268. C₂×#689	C₂³	semidirect
305. C₂×#686	C₂³	semidirect
306. C₂×#686	C₂³	semidirect
307. C₂×#686	C₂³	semidirect
311. #4076	C₂³	semidirect
321. C₂²×#168	C₂³	semidirect
334. C₂×#677	C₂³	semidirect
335. C₂×#677	C₂³	semidirect
336. C₂×#677	C₂³	semidirect
339. C₂×#676	C₂³	semidirect
340. C₂×C₈×D₅	C₂³	semidirect
364. #4041	C₂³	semidirect
365. #4041	C₂³	semidirect
379. #4039	C₂³	semidirect
380. #4039	C₂³	semidirect
383. D₅×C₄⋊C₄	C₂³	semidirect
384. #4034	C₂³	semidirect
424. #4020	C₂³	semidirect
428. C₄×D₂₀	C₂³	semidirect
431. C₅×#107	C₂³	semidirect
432. C₅×#107	C₂³	semidirect
433. C₅×#106	C₂³	semidirect
434. C₅×C₄⋊C₈	C₂³	semidirect
435. C₅×#103	C₂³	semidirect
442. C₅×#102	C₂³	semidirect
443. C₅×#102	C₂³	semidirect
444. C₅×#102	C₂³	semidirect
446. C₅×C₂²⋊C₈	C₂³	semidirect
447. C₅×#97	C₂³	semidirect
448. #3967	C₂³	semidirect
451. #3964	C₂³	semidirect
453. C₂²⋊#168	C₂³	semidirect
456. #3953	C₂³	semidirect
457. #3953	C₂³	semidirect
458. #3953	C₂³	semidirect
465. #3952	C₂³	semidirect
466. #3952	C₂³	semidirect
467. #3949	C₂³	semidirect
468. #3948	C₂³	semidirect
469. #3947	C₂³	semidirect
470. #3946	C₂³	semidirect
471. #3946	C₂³	semidirect
472. C₈×Dic₅	C₂³	semidirect
473. #3942	C₂³	semidirect
474. #3942	C₂³	semidirect
475. #3942	C₂³	semidirect
482. #3941	C₂³	semidirect
483. #3941	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
497. #3310	D₅	semidirect
790. #552	C₂×D₅	semidirect
833. #490	C₂×D₅	semidirect
845. #482	C₂×D₅	semidirect
848. #480	C₂×D₅	semidirect
850. #478	C₂×D₅	semidirect
860. #468	C₂×D₅	semidirect
868. #465	C₂×D₅	semidirect
875. #460	C₂×D₅	semidirect
888. #450	C₂×D₅	semidirect
889. #450	C₂×D₅	semidirect
920. #440	C₂×D₅	semidirect
930. #435	C₂×D₅	semidirect
937. #418	C₂×D₅	semidirect
942. C₂×#102	C₂×D₅	semidirect
1161. C₂×SD₁₆	C₂²×D₅	semidirect
1183. C₂×M₁₆	C₂²×D₅	semidirect
1199. #125	C₂²×D₅	semidirect
1234. C₂²⋊Q₈	C₂²×D₅	semidirect
1302. C₄×Q₈	C₂²×D₅	semidirect
1327. #117	C₂²×D₅	semidirect
1341. #107	C₂²×D₅	semidirect
1342. #107	C₂²×D₅	semidirect
1346. #106	C₂²×D₅	semidirect
1350. C₄⋊C₈	C₂²×D₅	semidirect
1356. #103	C₂²×D₅	semidirect
1380. #102	C₂²×D₅	semidirect
1381. #102	C₂²×D₅	semidirect
1382. #102	C₂²×D₅	semidirect
1394. C₂²⋊C₈	C₂²×D₅	semidirect
1396. #97	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
#10618747	2
#10618521	2
C₅×#3310	2
#10615329	2
D₄×#686	2
#10613458	2
#10613450	2
#10613133	2
#10613131	2
#10613033	2
#10613031	2
#10612923	2
#10612877	2
#10612570	2
#10612546	2
#10612405	2
#10612397	2
#10612136	2
#10612123	2
#10611899	2
#10611897	2
#10611880	2
#10611877	2
#10611527	2
#10611516	2
#10611224	2
#10611218	2
#10610672	2
#10610659	2
#10610492	2
C₂×#65062	2
#61609	5