Subgroups — #12984849

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	C₅×#3484	C₂	1	1	yes	maximal, characteristic, complemented
2	#10617934	C₂	1	1	yes	maximal, characteristic, complemented
3	#10615833	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615832	C₂	1	1	yes	maximal, characteristic, complemented
5	#10615769	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#65506	C₂	1	1	yes	maximal, characteristic, complemented
7	#10615238	C₂	1	1	yes	maximal, characteristic, complemented
8	#10615236	C₂	1	1	yes	maximal, characteristic, complemented
9	#10615235	C₂	1	1	yes	maximal, characteristic, complemented
10	#10615233	C₂	1	1	yes	maximal, characteristic, complemented
11	#10615231	C₂	1	1	yes	maximal, characteristic, complemented
12	#10615230	C₂	1	1	yes	maximal, characteristic, complemented
13	#10615227	C₂	1	1	yes	maximal, characteristic, complemented
14	#10615225	C₂	1	1	yes	maximal, characteristic, complemented
15	#10615223	C₂	1	1	yes	maximal, characteristic, complemented
16	D₄×#686	C₂	1	1	yes	maximal, characteristic, complemented
17	#10615219	C₂	1	1	yes	maximal, characteristic, complemented
18	#10615219	C₂	1	1	yes	maximal, characteristic, complemented
19	#10615218	C₂	1	1	yes	maximal, characteristic, complemented
20	#10615216	C₂	1	1	yes	maximal, characteristic, complemented
21	#10615215	C₂	1	1	yes	maximal, characteristic, complemented
22	#10615213	C₂	1	1	yes	maximal, characteristic, complemented
23	#10615120	C₂	1	1	yes	maximal, characteristic, complemented
24	#10615119	C₂	1	1	yes	maximal, characteristic, complemented
25	#10615118	C₂	1	1	yes	maximal, characteristic, complemented
26	#10615117	C₂	1	1	yes	maximal, characteristic, complemented
27	#10614662	C₂	1	1	yes	maximal, characteristic, complemented
28	#10614661	C₂	1	1	yes	maximal, characteristic, complemented
29	#10614650	C₂	1	1	yes	maximal, characteristic, complemented
30	#10614273	C₂	1	1	yes	maximal, characteristic, complemented
31	#10614272	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₅×H(5,𝔽₂)	C₂²	1	1	yes	characteristic, complemented
33	C₂³×C₅×D₄	C₂²	1	1	yes	characteristic, complemented
34	C₅×#546	—	2	1	no	—
35	C₅×#546	—	2	1	no	—
36	C₅×#546	C₂²	1	1	yes	characteristic
37	C₅×#546	C₂²	1	1	yes	characteristic, complemented
38	C₅×#546	C₂²	1	1	yes	characteristic, complemented
39	C₅×#546	C₂²	1	1	yes	characteristic, complemented
40	C₅×D₄²	—	2	1	no	—
41	C₅×D₄²	—	2	1	no	—
42	C₅×D₄²	C₂²	1	1	yes	characteristic
43	C₅×D₄²	C₂²	1	1	yes	characteristic, complemented
44	C₅×D₄²	C₂²	1	1	yes	characteristic, complemented
45	C₅×D₄²	C₂²	1	1	yes	characteristic, complemented
46	C₅×#535	C₂²	1	1	yes	characteristic, complemented
47	C₅×#535	C₂²	1	1	yes	characteristic, complemented
48	C₅×#534	—	2	1	no	—
49	C₅×#534	—	2	1	no	—
50	C₅×#525	C₂²	1	1	yes	characteristic
51	C₅×#525	C₂²	1	1	yes	characteristic, complemented
52	C₂×C₅×#120	—	2	1	no	—
53	C₂×C₅×#120	—	2	1	no	—
54	C₅×#518	C₂²	1	1	yes	characteristic, complemented
55	#66167	C₂²	1	1	yes	characteristic, complemented
56	#66164	C₂²	1	1	yes	characteristic, complemented
57	C₂×#4096	C₂²	1	1	yes	characteristic, complemented
58	C₂×#4095	C₂²	1	1	yes	characteristic, complemented
59	C₂×#4078	C₂²	1	1	yes	characteristic, complemented
60	C₂×#4078	C₂²	1	1	yes	characteristic, complemented
61	C₂×#4078	C₂²	1	1	yes	characteristic, complemented
62	C₂²×#686	C₂²	1	1	yes	characteristic, complemented
63	C₂²×#686	C₂²	1	1	yes	characteristic, complemented
64	C₂²×#686	C₂²	1	1	yes	characteristic, complemented
65	#66125	C₂²	1	1	yes	characteristic, complemented
66	C₂×#4076	C₂²	1	1	yes	characteristic, complemented
67	#65997	—	2	1	no	—
68	#65991	—	2	1	no	—
69	#65981	—	2	1	no	—
70	#65971	—	2	1	no	—
71	#65954	—	2	1	no	—
72	#65944	—	2	1	no	—
73	#65926	—	2	1	no	—
74	#65923	—	2	1	no	—
75	#65899	C₂²	1	1	yes	characteristic, complemented
76	#65897	C₂²	1	1	yes	characteristic, complemented
77	#65889	C₂²	1	1	yes	characteristic, complemented
78	#65887	C₂²	1	1	yes	characteristic, complemented
79	#65884	C₂²	1	1	yes	characteristic, complemented
80	#65884	C₂²	1	1	yes	characteristic, complemented
81	D₄×D₂₀	C₂²	1	1	yes	characteristic, complemented
82	#65875	C₂²	1	1	yes	characteristic, complemented
83	#65869	C₂²	1	1	yes	characteristic, complemented
84	#65868	C₂²	1	1	yes	characteristic, complemented
85	#65528	C₂²	1	1	yes	characteristic, complemented
86	#65528	C₂²	1	1	yes	characteristic, complemented
87	#65527	C₂²	1	1	yes	characteristic, complemented
88	#65527	C₂²	1	1	yes	characteristic, complemented
89	#65527	C₂²	1	1	yes	characteristic, complemented
90	#65527	C₂²	1	1	yes	characteristic, complemented
91	#65527	C₂²	1	1	yes	characteristic, complemented
92	#65527	C₂²	1	1	yes	characteristic, complemented
93	#65523	C₂²	1	1	yes	characteristic, complemented
94	#65523	C₂²	1	1	yes	characteristic, complemented
95	#65522	C₂²	1	1	yes	characteristic, complemented
96	#65521	C₂²	1	1	yes	characteristic, complemented
97	#65507	C₂²	1	1	yes	characteristic, complemented
98	#65507	C₂²	1	1	yes	characteristic, complemented
99	#65507	C₂²	1	1	yes	characteristic, complemented
100	#65507	C₂²	1	1	yes	characteristic, complemented
101	#65507	C₂²	1	1	yes	characteristic, complemented
102	#65506	C₂²	1	1	yes	characteristic
103	#65506	C₂²	1	1	yes	characteristic, complemented
104	#65506	C₂²	1	1	yes	characteristic, complemented
105	#65506	C₂²	1	1	yes	characteristic, complemented
106	#65506	C₂²	1	1	yes	characteristic, complemented
107	#65506	C₂²	1	1	yes	characteristic, complemented
108	#65506	C₂²	1	1	yes	characteristic, complemented
109	#65506	C₂²	1	1	yes	characteristic, complemented
110	#65506	C₂²	1	1	yes	characteristic, complemented
111	#65506	C₂²	1	1	yes	characteristic, complemented
112	#65506	C₂²	1	1	yes	characteristic, complemented
113	#65506	C₂²	1	1	yes	characteristic, complemented
114	#65506	C₂²	1	1	yes	characteristic, complemented
115	#65506	C₂²	1	1	yes	characteristic, complemented
116	#65506	C₂²	1	1	yes	characteristic, complemented
117	#65504	C₂²	1	1	yes	characteristic, complemented
118	#65504	C₂²	1	1	yes	characteristic, complemented
119	#65504	C₂²	1	1	yes	characteristic, complemented
120	C₂×#3964	C₂²	1	1	yes	characteristic, complemented
121	C₂×#3964	C₂²	1	1	yes	characteristic, complemented
122	C₂×#3964	C₂²	1	1	yes	characteristic, complemented
123	#65496	C₂²	1	1	yes	characteristic, complemented
124	C₂×C₂²⋊#168	C₂²	1	1	yes	characteristic, complemented
125	#65364	C₂²	1	1	yes	characteristic, complemented
126	#65363	C₂²	1	1	yes	characteristic, complemented
127	#65362	C₂²	1	1	yes	characteristic, complemented
128	#65361	C₂²	1	1	yes	characteristic, complemented
129	#65361	C₂²	1	1	yes	characteristic, complemented
130	#65361	C₂²	1	1	yes	characteristic, complemented
131	#65360	C₂²	1	1	yes	characteristic, complemented
132	#65359	C₂²	1	1	yes	characteristic, complemented
133	#65348	C₂²	1	1	yes	characteristic, complemented
134	#65347	C₂²	1	1	yes	characteristic, complemented
135	#65346	C₂²	1	1	yes	characteristic, complemented
136	#65346	C₂²	1	1	yes	characteristic, complemented
137	#65346	C₂²	1	1	yes	characteristic, complemented
138	#65345	C₂²	1	1	yes	characteristic, complemented
139	#65344	C₂²	1	1	yes	characteristic, complemented
140	#65343	C₂²	1	1	yes	characteristic, complemented
141	#65340	C₂²	1	1	yes	characteristic, complemented
142	#65338	C₂²	1	1	yes	characteristic, complemented
143	#65338	C₂²	1	1	yes	characteristic, complemented
144	#65337	C₂²	1	1	yes	characteristic, complemented
145	#65336	C₂²	1	1	yes	characteristic, complemented
146	#65335	C₂²	1	1	yes	characteristic, complemented
147	#65334	C₂²	1	1	yes	characteristic, complemented
148	#65332	C₂²	1	1	yes	characteristic, complemented
149	#65331	C₂²	1	1	yes	characteristic, complemented
150	#65330	C₂²	1	1	yes	characteristic, complemented
151	#65330	C₂²	1	1	yes	characteristic, complemented
152	#65328	C₂²	1	1	yes	characteristic, complemented
153	#65328	C₂²	1	1	yes	characteristic, complemented
154	#65328	C₂²	1	1	yes	characteristic, complemented
155	#65328	C₂²	1	1	yes	characteristic, complemented
156	#65328	C₂²	1	1	yes	characteristic, complemented
157	#65327	C₂²	1	1	yes	characteristic, complemented
158	#65327	C₂²	1	1	yes	characteristic, complemented
159	#65327	C₂²	1	1	yes	characteristic, complemented
160	#65327	C₂²	1	1	yes	characteristic, complemented
161	#65326	C₂²	1	1	yes	characteristic, complemented
162	#65326	C₂²	1	1	yes	characteristic, complemented
163	#65326	C₂²	1	1	yes	characteristic, complemented
164	#65325	C₂²	1	1	yes	characteristic, complemented
165	#65325	C₂²	1	1	yes	characteristic, complemented
166	#65325	C₂²	1	1	yes	characteristic, complemented
167	#65324	C₂²	1	1	yes	characteristic, complemented
168	#65324	C₂²	1	1	yes	characteristic, complemented
169	#65324	C₂²	1	1	yes	characteristic, complemented
170	#65323	C₂²	1	1	yes	characteristic, complemented
171	#65322	C₂²	1	1	yes	characteristic, complemented
172	#65322	C₂²	1	1	yes	characteristic, complemented
173	#65307	C₂²	1	1	yes	characteristic, complemented
174	C₄×#687	C₂²	1	1	yes	characteristic, complemented
175	#65305	C₂²	1	1	yes	characteristic, complemented
176	#65305	C₂²	1	1	yes	characteristic, complemented
177	#65304	C₂²	1	1	yes	characteristic, complemented
178	#65304	C₂²	1	1	yes	characteristic, complemented
179	#65303	C₂²	1	1	yes	characteristic, complemented
180	#65303	C₂²	1	1	yes	characteristic, complemented
181	#65303	C₂²	1	1	yes	characteristic, complemented
182	C₄×#686	C₂²	1	1	yes	characteristic, complemented
183	C₄×#686	C₂²	1	1	yes	characteristic, complemented
184	C₄×#686	C₂²	1	1	yes	characteristic, complemented
185	#65301	C₂²	1	1	yes	characteristic, complemented
186	#65301	C₂²	1	1	yes	characteristic, complemented
187	#65300	C₂²	1	1	yes	characteristic, complemented
188	#65300	C₂²	1	1	yes	characteristic, complemented
189	#65300	C₂²	1	1	yes	characteristic, complemented
190	#65300	C₂²	1	1	yes	characteristic, complemented
191	D₄×#168	C₂²	1	1	yes	characteristic, complemented
192	D₄×#168	C₂²	1	1	yes	characteristic, complemented
193	#65298	C₂²	1	1	yes	characteristic, complemented
194	#65298	C₂²	1	1	yes	characteristic, complemented
195	#65297	C₂²	1	1	yes	characteristic, complemented
196	#65296	C₂²	1	1	yes	characteristic, complemented
197	#65292	C₂²	1	1	yes	characteristic, complemented
198	#65292	C₂²	1	1	yes	characteristic, complemented
199	#65292	C₂²	1	1	yes	characteristic, complemented
200	#65289	C₂²	1	1	yes	characteristic, complemented
201	#65289	C₂²	1	1	yes	characteristic, complemented
202	#65285	C₂²	1	1	yes	characteristic, complemented
203	#61609	—	5	1	no	maximal, Sylow
204	C₂⁵×C₅	—	2	1	no	—
205	C₅×H(5,𝔽₂)	—	4	2	no	—
206	C₅×H(5,𝔽₂)	—	4	2	no	—
207	C₂×C₅×#41	—	2	1	no	—
208	C₂×C₅×#41	C₂³	1	1	yes	characteristic
209	C₂×C₅×#41	C₂³	1	1	yes	characteristic
210	C₂×C₅×#41	C₂³	1	1	yes	characteristic
211	C₂×C₅×#41	C₂³	1	1	yes	characteristic
212	C₂²×C₅×D₄	—	2	1	no	—
213	C₂²×C₅×D₄	—	2	1	no	—
214	C₂²×C₅×D₄	—	2	1	no	—
215	C₂²×C₅×D₄	—	2	1	no	—
216	C₂²×C₅×D₄	—	2	1	no	—
217	C₂²×C₅×D₄	—	2	1	no	—
218	C₂²×C₅×D₄	—	2	1	no	—
219	C₂²×C₅×D₄	—	2	1	no	—
220	C₂²×C₅×D₄	—	2	1	no	—
221	C₂²×C₅×D₄	—	2	1	no	—
222	C₂²×C₅×D₄	—	4	2	no	—
223	C₂²×C₅×D₄	—	4	2	no	—
224	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
225	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
226	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
227	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
228	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
229	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
230	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
231	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
232	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
233	C₂²×C₂²⋊D₅	—	2	1	no	—
234	C₂×#711	—	2	1	no	—
235	C₂×D₄×D₅	—	2	1	no	—
236	C₂×#709	C₂³	1	1	yes	characteristic
237	C₂×#709	C₂³	1	1	yes	characteristic, complemented
238	C₂²×D₂₀	C₂³	1	1	yes	characteristic
239	C₂²×D₂₀	C₂³	1	1	yes	characteristic, complemented
240	C₅×#127	—	2	1	no	—
241	C₅×#127	C₂³	1	1	yes	characteristic
242	C₅×#127	C₂³	1	1	yes	characteristic
243	C₅×#124	—	2	1	no	—
244	C₅×#124	C₂³	1	1	yes	characteristic
245	C₅×#124	C₂³	1	1	yes	characteristic
246	C₅×#123	—	2	1	no	—
247	C₅×#123	—	2	1	no	—
248	C₅×#123	—	2	1	no	—
249	C₅×#123	—	2	1	no	—
250	C₅×#123	—	2	1	no	—
251	C₅×#123	D₄	1	1	yes	characteristic
252	C₅×#123	D₄	1	1	yes	characteristic
253	C₅×C₂²⋊Q₈	D₄	1	1	yes	characteristic
254	C₅×C₂²⋊Q₈	D₄	1	1	yes	characteristic
255	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
256	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
257	C₅×#121	—	2	1	no	—
258	C₅×#121	—	2	1	no	—
259	C₅×#121	—	2	1	no	—
260	C₅×#121	—	2	1	no	—
261	C₅×#121	—	2	1	no	—
262	C₅×#121	—	2	1	no	—
263	C₅×#121	—	2	1	no	—
264	C₅×#121	—	2	1	no	—
265	C₅×#121	—	2	1	no	—
266	C₅×#121	—	2	1	no	—
267	C₅×#121	D₄	1	1	yes	characteristic
268	C₅×#121	D₄	1	1	yes	characteristic
269	C₅×#121	C₂³	1	1	yes	characteristic
270	C₅×#121	C₂³	1	1	yes	characteristic
271	C₅×#121	C₂³	1	1	yes	characteristic
272	C₅×#121	C₂³	1	1	yes	characteristic
273	C₅×#121	C₂³	1	1	yes	characteristic
274	C₅×#121	C₂³	1	1	yes	characteristic
275	C₅×#120	—	2	1	no	—
276	C₅×#120	—	2	1	no	—
277	C₅×#120	—	2	1	no	—
278	C₅×#120	—	2	1	no	—
279	C₅×#120	—	2	1	no	—
280	C₅×#120	—	2	1	no	—
281	C₅×#120	—	2	1	no	—
282	C₅×#120	—	2	1	no	—
283	C₅×#120	—	2	1	no	—
284	C₅×#120	—	2	1	no	—
285	C₅×#120	—	2	1	no	—
286	C₅×#120	—	2	1	no	—
287	C₅×#120	—	2	1	no	—
288	C₅×#120	—	2	1	no	—
289	C₅×#120	—	2	1	no	—
290	C₅×#120	—	2	1	no	—
291	C₅×#120	—	2	1	no	—
292	C₅×#120	D₄	1	1	yes	characteristic
293	C₅×#120	D₄	1	1	yes	characteristic
294	C₄×C₅×D₄	—	2	1	no	—
295	C₄×C₅×D₄	—	2	1	no	—
296	C₄×C₅×D₄	—	2	1	no	—
297	C₄×C₅×D₄	—	2	1	no	—
298	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
299	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
300	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
301	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
302	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
303	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
304	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
305	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
306	C₅×#117	C₂³	1	1	yes	characteristic
307	C₅×#117	C₂³	1	1	yes	characteristic
308	C₂×C₅×C₂²⋊C₄	—	2	1	no	—
309	C₂×C₅×C₂²⋊C₄	—	2	1	no	—
310	C₂×C₅×C₂²⋊C₄	—	2	1	no	—
311	C₂×C₅×C₂²⋊C₄	—	2	1	no	—
312	C₂×C₅×C₂²⋊C₄	—	2	1	no	—
313	C₂×C₅×C₂²⋊C₄	—	2	1	no	—
314	#4099	—	2	1	no	—
315	#4096	—	4	2	no	—
316	#4095	—	4	2	no	—
317	#4093	—	2	1	no	—
318	#4092	—	2	1	no	—
319	C₂×#689	C₂³	1	1	yes	characteristic, complemented
320	C₂×#688	C₂³	1	1	yes	characteristic, complemented
321	C₂×#688	C₂³	1	1	yes	characteristic, complemented
322	C₂×#688	C₂³	1	1	yes	characteristic, complemented
323	#4086	—	2	1	no	—
324	#4086	—	2	1	no	—
325	#4085	—	2	1	no	—
326	#4085	—	2	1	no	—
327	#4085	—	2	1	no	—
328	#4084	—	2	1	no	—
329	#4084	—	2	1	no	—
330	#4083	—	2	1	no	—
331	#4083	—	2	1	no	—
332	#4083	—	2	1	no	—
333	#4083	—	2	1	no	—
334	#4081	—	2	1	no	—
335	C₂×#687	C₂³	1	1	yes	characteristic
336	C₂×#687	C₂³	1	1	yes	characteristic
337	C₂×#687	C₂³	1	1	yes	characteristic
338	C₂×#687	C₂³	1	1	yes	characteristic
339	C₂×#687	C₂³	1	1	yes	characteristic, complemented
340	#4078	—	4	2	no	—
341	#4078	—	4	2	no	—
342	#4078	—	4	2	no	—
343	C₂×#686	—	4	2	no	—
344	C₂×#686	—	4	2	no	—
345	C₂×#686	—	4	2	no	—
346	C₂×#686	C₂³	1	1	yes	characteristic
347	C₂×#686	C₂³	1	1	yes	characteristic
348	C₂×#686	C₂³	1	1	yes	characteristic
349	C₂×#686	C₂³	1	1	yes	characteristic
350	C₂×#686	C₂³	1	1	yes	characteristic
351	C₂×#686	C₂³	1	1	yes	characteristic
352	C₂×#686	C₂³	1	1	yes	characteristic
353	C₂×#686	C₂³	1	1	yes	characteristic
354	C₂×#686	C₂³	1	1	yes	characteristic
355	C₂×#686	C₂³	1	1	yes	characteristic
356	C₂×#686	C₂³	1	1	yes	characteristic
357	C₂×#686	C₂³	1	1	yes	characteristic
358	C₂×#686	C₂³	1	1	yes	characteristic, complemented
359	C₂×#686	C₂³	1	1	yes	characteristic, complemented
360	C₂×#686	C₂³	1	1	yes	characteristic, complemented
361	#4076	—	2	1	no	—
362	#4076	—	2	1	no	—
363	#4076	C₂³	1	1	yes	characteristic
364	#4076	C₂³	1	1	yes	characteristic
365	#4076	C₂³	1	1	yes	characteristic
366	#4076	C₂³	1	1	yes	characteristic
367	#4076	C₂³	1	1	yes	characteristic
368	#4076	C₂³	1	1	yes	characteristic
369	#4076	C₂³	1	1	yes	characteristic, complemented
370	#4076	C₂³	1	1	yes	characteristic, complemented
371	#4076	C₂³	1	1	yes	characteristic, complemented
372	#4075	—	2	1	no	—
373	C₄×C₂²⋊D₅	—	2	1	no	—
374	C₄×C₂²⋊D₅	—	2	1	no	—
375	C₂×#685	—	2	1	no	—
376	#4072	C₂³	1	1	yes	characteristic
377	#4072	C₂³	1	1	yes	characteristic, complemented
378	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
379	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic, complemented
380	#4070	C₂³	1	1	yes	characteristic
381	#4070	C₂³	1	1	yes	characteristic
382	#4070	C₂³	1	1	yes	characteristic, complemented
383	C₂×#681	C₂³	1	1	yes	characteristic
384	C₂×#681	C₂³	1	1	yes	characteristic
385	C₂×#681	C₂³	1	1	yes	characteristic, complemented
386	C₂×#681	C₂³	1	1	yes	characteristic, complemented
387	C₂²×#168	C₂³	1	1	yes	characteristic
388	C₂²×#168	C₂³	1	1	yes	characteristic
389	C₂²×#168	C₂³	1	1	yes	characteristic, complemented
390	C₂²×#168	C₂³	1	1	yes	characteristic, complemented
391	#4044	—	2	1	no	—
392	#4044	—	2	1	no	—
393	#4043	—	2	1	no	—
394	#4042	—	2	1	no	—
395	#4041	—	2	1	no	—
396	#4040	—	2	1	no	—
397	#4040	—	2	1	no	—
398	#4040	—	2	1	no	—
399	#4040	—	2	1	no	—
400	#4039	—	2	1	no	—
401	#4038	—	2	1	no	—
402	#4035	—	2	1	no	—
403	#4032	—	2	1	no	—
404	#4032	—	2	1	no	—
405	#4031	—	2	1	no	—
406	#4031	—	2	1	no	—
407	#4031	—	2	1	no	—
408	#4030	—	2	1	no	—
409	#4030	—	2	1	no	—
410	#4030	—	2	1	no	—
411	#4030	—	2	1	no	—
412	#4030	—	2	1	no	—
413	#4030	—	2	1	no	—
414	#4029	—	2	1	no	—
415	#4029	—	2	1	no	—
416	#4028	—	2	1	no	—
417	#4028	—	2	1	no	—
418	#4027	—	2	1	no	—
419	D₅×C₂²⋊C₄	—	2	1	no	—
420	D₅×C₂²⋊C₄	—	2	1	no	—
421	#4025	—	2	1	no	—
422	#4023	—	2	1	no	—
423	#4021	C₂³	1	1	yes	characteristic, complemented
424	#4020	C₂³	1	1	yes	characteristic, complemented
425	C₄×D₂₀	C₂³	1	1	yes	characteristic, complemented
426	C₄×D₂₀	C₂³	1	1	yes	characteristic, complemented
427	C₄×D₂₀	C₂³	1	1	yes	characteristic, complemented
428	#4016	C₂³	1	1	yes	characteristic, complemented
429	#4015	C₂³	1	1	yes	characteristic, complemented
430	C₄×Dic₁₀	C₂³	1	1	yes	characteristic, complemented
431	#3967	C₂³	1	1	yes	characteristic, complemented
432	#3967	C₂³	1	1	yes	characteristic, complemented
433	#3967	C₂³	1	1	yes	characteristic, complemented
434	#3967	C₂³	1	1	yes	characteristic, complemented
435	#3964	C₂³	1	1	yes	characteristic
436	#3964	C₂³	1	1	yes	characteristic
437	#3964	C₂³	1	1	yes	characteristic
438	#3964	C₂³	1	1	yes	characteristic
439	#3964	C₂³	1	1	yes	characteristic
440	#3964	C₂³	1	1	yes	characteristic
441	#3964	C₂³	1	1	yes	characteristic
442	#3964	C₂³	1	1	yes	characteristic
443	#3964	C₂³	1	1	yes	characteristic
444	#3964	C₂³	1	1	yes	characteristic
445	#3964	C₂³	1	1	yes	characteristic
446	#3964	C₂³	1	1	yes	characteristic
447	#3964	C₂³	1	1	yes	characteristic
448	#3964	C₂³	1	1	yes	characteristic
449	#3964	C₂³	1	1	yes	characteristic
450	#3964	C₂³	1	1	yes	characteristic
451	#3964	C₂³	1	1	yes	characteristic, complemented
452	#3964	C₂³	1	1	yes	characteristic, complemented
453	#3964	C₂³	1	1	yes	characteristic, complemented
454	#3964	C₂³	1	1	yes	characteristic, complemented
455	C₂²⋊#168	C₂³	1	1	yes	characteristic
456	C₂²⋊#168	C₂³	1	1	yes	characteristic
457	C₂²⋊#168	C₂³	1	1	yes	characteristic
458	C₂²⋊#168	C₂³	1	1	yes	characteristic
459	C₂²⋊#168	C₂³	1	1	yes	characteristic
460	C₂²⋊#168	C₂³	1	1	yes	characteristic
461	C₂²⋊#168	C₂³	1	1	yes	characteristic
462	C₂²⋊#168	C₂³	1	1	yes	characteristic
463	C₂²⋊#168	C₂³	1	1	yes	characteristic, complemented
464	C₂²⋊#168	C₂³	1	1	yes	characteristic, complemented
465	C₂²⋊#168	C₂³	1	1	yes	characteristic, complemented
466	C₂²⋊#168	C₂³	1	1	yes	characteristic, complemented
467	#3942	C₂³	1	1	yes	characteristic, complemented
468	#3942	C₂³	1	1	yes	characteristic, complemented
469	#3941	C₂³	1	1	yes	characteristic, complemented
470	#3941	C₂³	1	1	yes	characteristic, complemented
471	#3941	C₂³	1	1	yes	characteristic, complemented
472	#3941	C₂³	1	1	yes	characteristic, complemented
473	#3941	C₂³	1	1	yes	characteristic, complemented
474	#3941	C₂³	1	1	yes	characteristic, complemented
475	#3940	C₂³	1	1	yes	characteristic, complemented
476	#3940	C₂³	1	1	yes	characteristic, complemented
477	#3940	C₂³	1	1	yes	characteristic, complemented
478	#3940	C₂³	1	1	yes	characteristic, complemented
479	#3939	C₂³	1	1	yes	characteristic, complemented
480	#3939	C₂³	1	1	yes	characteristic, complemented
481	#3939	C₂³	1	1	yes	characteristic, complemented
482	#3939	C₂³	1	1	yes	characteristic, complemented
483	C₄⋊#168	C₂³	1	1	yes	characteristic, complemented
484	C₄⋊#168	C₂³	1	1	yes	characteristic, complemented
485	C₄⋊#168	C₂³	1	1	yes	characteristic, complemented
486	C₄⋊#168	C₂³	1	1	yes	characteristic, complemented
487	#3935	C₂³	1	1	yes	characteristic, complemented
488	#3935	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	D₅	1	1	yes	characteristic, complemented
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	—	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	C₂⁴×C₅	—	2	1	no	—
525	C₂⁴×C₅	—	2	1	no	—
526	C₂⁴×C₅	—	2	1	no	—
527	C₂⁴×C₅	—	2	1	no	—
528	C₂⁴×C₅	—	2	1	no	—
529	C₂⁴×C₅	—	2	1	no	—
530	C₂⁴×C₅	—	4	4	no	—
531	C₂⁴×C₅	—	8	2	no	—
532	C₂⁴×C₅	—	8	2	no	—
533	C₂⁴×C₅	C₂×D₄	1	1	yes	characteristic
534	C₂³×D₅	—	2	1	no	—
535	C₂³×D₅	—	2	1	no	—
536	C₅×#41	—	2	2	no	—
537	C₅×#41	—	2	2	no	—
538	C₅×#41	—	4	1	no	—
539	C₅×#41	—	4	1	no	—
540	C₅×#41	—	4	1	no	—
541	C₅×#41	—	4	1	no	—
542	C₅×#41	—	4	1	no	—
543	C₅×#41	—	4	1	no	—
544	C₅×#41	—	4	4	no	—
545	C₂×C₅×Q₈	C₂×D₄	1	1	yes	characteristic
546	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
547	C₂×C₅×D₄	—	2	2	no	—
548	C₂×C₅×D₄	—	2	2	no	—
549	C₂×C₅×D₄	—	2	2	no	—
550	C₂×C₅×D₄	—	2	2	no	—
551	C₂×C₅×D₄	—	2	2	no	—
552	C₂×C₅×D₄	—	2	2	no	—
553	C₂×C₅×D₄	—	2	2	no	—
554	C₂×C₅×D₄	—	2	2	no	—
555	C₂×C₅×D₄	—	2	1	no	—
556	C₂×C₅×D₄	—	2	1	no	—
557	C₂×C₅×D₄	—	2	1	no	—
558	C₂×C₅×D₄	—	2	1	no	—
559	C₂×C₅×D₄	—	2	1	no	—
560	C₂×C₅×D₄	—	2	1	no	—
561	C₂×C₅×D₄	—	2	1	no	—
562	C₂×C₅×D₄	—	2	1	no	—
563	C₂×C₅×D₄	—	2	1	no	—
564	C₂×C₅×D₄	—	2	1	no	—
565	C₂×C₅×D₄	—	2	1	no	—
566	C₂×C₅×D₄	—	2	1	no	—
567	C₂×C₅×D₄	—	2	1	no	—
568	C₂×C₅×D₄	—	2	1	no	—
569	C₂×C₅×D₄	—	2	1	no	—
570	C₂×C₅×D₄	—	2	1	no	—
571	C₂×C₅×D₄	—	2	1	no	—
572	C₂×C₅×D₄	—	2	1	no	—
573	C₂×C₅×D₄	—	2	1	no	—
574	C₂×C₅×D₄	—	2	1	no	—
575	C₂×C₅×D₄	—	2	1	no	—
576	C₂×C₅×D₄	—	4	1	no	—
577	C₂×C₅×D₄	—	4	1	no	—
578	C₂×C₅×D₄	—	4	1	no	—
579	C₂×C₅×D₄	—	4	1	no	—
580	C₂×C₅×D₄	—	4	1	no	—
581	C₂×C₅×D₄	—	4	1	no	—
582	C₂×C₅×D₄	—	4	1	no	—
583	C₂×C₅×D₄	—	4	1	no	—
584	C₂×C₅×D₄	—	4	4	no	—
585	C₂×C₅×D₄	—	4	4	no	—
586	C₂×C₅×D₄	—	4	4	no	—
587	C₂×C₅×D₄	—	4	4	no	—
588	C₂×C₅×D₄	—	4	4	no	—
589	C₂×C₅×D₄	—	4	4	no	—
590	C₂×C₅×D₄	—	8	2	no	—
591	C₂×C₅×D₄	—	8	2	no	—
592	C₂×C₅×D₄	—	8	2	no	—
593	C₂×C₅×D₄	—	8	2	no	—
594	C₂×C₅×D₄	C₂×D₄	1	1	yes	characteristic
595	C₂×C₅×D₄	C₂×D₄	1	1	yes	characteristic
596	C₂×C₅×D₄	C₂×D₄	1	1	yes	characteristic
597	C₂×C₅×D₄	C₂×D₄	1	1	yes	characteristic
598	C₂×C₅×D₄	C₂×D₄	1	1	yes	characteristic
599	C₂×C₅×D₄	C₂×D₄	1	1	yes	characteristic
600	C₂×C₅×D₄	C₂×D₄	1	1	yes	characteristic
601	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
602	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
603	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
604	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
605	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
606	C₂²×C₄×C₅	—	2	1	no	—
607	C₂²×C₄×C₅	—	2	1	no	—
608	C₂²×C₄×C₅	—	2	1	no	—
609	C₂²×C₄×C₅	—	2	1	no	—
610	C₂²×C₄×C₅	—	2	1	no	—
611	C₂²×C₄×C₅	—	2	1	no	—
612	C₂²×C₄×C₅	—	2	1	no	—
613	C₂²×C₄×C₅	—	4	1	no	—
614	C₂²×C₄×C₅	—	4	1	no	—
615	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
616	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
617	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
618	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
619	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
620	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
621	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
622	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
623	C₂×C₂²⋊D₅	—	2	1	no	—
624	C₂×C₂²⋊D₅	—	2	1	no	—
625	C₂×C₂²⋊D₅	—	2	1	no	—
626	C₂×C₂²⋊D₅	—	2	1	no	—
627	C₂×C₂²⋊D₅	—	2	1	no	—
628	C₂×C₂²⋊D₅	—	2	1	no	—
629	C₂×C₂²⋊D₅	—	2	1	no	—
630	C₂×C₂²⋊D₅	—	2	1	no	—
631	C₂×C₂²⋊D₅	—	2	1	no	—
632	C₂×C₂²⋊D₅	—	2	1	no	—
633	C₂×C₂²⋊D₅	—	2	1	no	—
634	C₂×C₂²⋊D₅	—	8	2	no	—
635	C₂²×Dic₅	—	2	1	no	—
636	C₂²×Dic₅	—	2	1	no	—
637	#711	—	8	2	no	—
638	D₄×D₅	—	8	2	no	—
639	#709	—	4	1	no	—
640	#709	—	4	1	no	—
641	#709	—	4	1	no	—
642	#709	—	4	1	no	—
643	C₂×D₂₀	—	2	1	no	—
644	C₂×D₂₀	—	2	1	no	—
645	C₂×D₂₀	—	2	1	no	—
646	C₂×D₂₀	—	2	1	no	—
647	C₂×D₂₀	—	4	1	no	—
648	C₂×D₂₀	—	4	1	no	—
649	C₂×D₂₀	—	4	1	no	—
650	C₂×D₂₀	—	4	1	no	—
651	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
652	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
653	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
654	C₂×C₄×D₅	—	2	1	no	—
655	C₂×C₄×D₅	—	2	1	no	—
656	C₂×C₄×D₅	—	2	1	no	—
657	C₂×C₄×D₅	—	2	1	no	—
658	C₂×C₄×D₅	—	2	1	no	—
659	C₂×Dic₁₀	—	2	1	no	—
660	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
661	C₅×C₄⋊C₄	—	2	1	no	—
662	C₅×C₄⋊C₄	—	2	1	no	—
663	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
664	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
665	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
666	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
667	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
668	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
669	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
670	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
671	C₅×C₂²⋊C₄	—	2	1	no	—
672	C₅×C₂²⋊C₄	—	2	1	no	—
673	C₅×C₂²⋊C₄	—	2	1	no	—
674	C₅×C₂²⋊C₄	—	2	1	no	—
675	C₅×C₂²⋊C₄	—	2	1	no	—
676	C₅×C₂²⋊C₄	—	2	1	no	—
677	C₅×C₂²⋊C₄	—	2	1	no	—
678	C₅×C₂²⋊C₄	—	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	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
691	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
692	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
693	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
694	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
695	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
696	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
697	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
698	C₄²×C₅	—	2	1	no	—
699	C₄²×C₅	C₂⁴	1	1	yes	characteristic
700	C₄²×C₅	C₂⁴	1	1	yes	characteristic
701	C₂²⋊Dic₅	—	2	1	no	—
702	C₂²⋊Dic₅	—	2	1	no	—
703	C₂²⋊Dic₅	—	2	1	no	—
704	C₂²⋊Dic₅	—	2	1	no	—
705	C₂²⋊Dic₅	—	2	1	no	—
706	#689	—	4	1	no	—
707	#688	—	4	1	no	—
708	#688	—	4	1	no	—
709	#688	—	4	1	no	—
710	#687	—	2	2	no	—
711	#687	—	2	2	no	—
712	#687	—	4	1	no	—
713	#687	—	4	1	no	—
714	#687	—	4	1	no	—
715	#686	—	2	2	no	—
716	#686	—	2	2	no	—
717	#686	—	2	2	no	—
718	#686	—	2	2	no	—
719	#686	—	2	2	no	—
720	#686	—	2	2	no	—
721	#686	—	4	1	no	—
722	#686	—	4	1	no	—
723	#686	—	4	1	no	—
724	#686	—	4	1	no	—
725	#686	—	4	1	no	—
726	#686	—	4	1	no	—
727	#686	—	4	1	no	—
728	#686	—	4	1	no	—
729	#686	—	4	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	—	2	1	no	—
737	#685	—	2	1	no	—
738	#685	—	2	1	no	—
739	#685	—	2	1	no	—
740	#685	—	2	1	no	—
741	#685	—	2	1	no	—
742	#685	—	2	1	no	—
743	#685	—	2	1	no	—
744	C₄⋊Dic₅	—	2	1	no	—
745	C₄⋊Dic₅	—	2	1	no	—
746	C₄⋊Dic₅	—	2	1	no	—
747	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
748	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
749	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
750	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
751	#683	—	2	1	no	—
752	#683	—	2	1	no	—
753	#683	—	2	1	no	—
754	#683	—	2	1	no	—
755	#683	—	2	1	no	—
756	#683	—	2	1	no	—
757	C₄×Dic₅	—	2	1	no	—
758	C₄×Dic₅	—	2	1	no	—
759	C₄×Dic₅	—	2	1	no	—
760	#681	—	4	1	no	—
761	#681	—	4	1	no	—
762	#681	—	4	1	no	—
763	#681	—	4	1	no	—
764	C₂×#168	—	4	1	no	—
765	C₂×#168	—	4	1	no	—
766	C₂×#168	—	4	1	no	—
767	C₂×#168	—	4	1	no	—
768	C₂×#168	C₂⁴	1	1	yes	characteristic
769	C₂×#168	C₂⁴	1	1	yes	characteristic
770	C₂×#168	C₂⁴	1	1	yes	characteristic
771	C₂×#168	C₂⁴	1	1	yes	characteristic
772	C₂×#168	C₂⁴	1	1	yes	characteristic
773	C₂×#168	C₂⁴	1	1	yes	characteristic
774	C₂×#168	C₂⁴	1	1	yes	characteristic
775	C₂×#168	C₂⁴	1	1	yes	characteristic
776	C₂×H(5,𝔽₂)	C₂×D₅	1	1	yes	characteristic, complemented
777	C₂³×D₄	C₂×D₅	1	1	yes	characteristic, complemented
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	—	2	1	no	—
795	#546	—	2	1	no	—
796	#546	—	5	1	no	—
797	#546	—	5	1	no	—
798	#546	—	10	1	no	—
799	#546	C₂×D₅	1	1	yes	characteristic
800	#546	C₂×D₅	1	1	yes	characteristic, complemented
801	#546	C₂×D₅	1	1	yes	characteristic, complemented
802	#546	C₂×D₅	1	1	yes	characteristic, complemented
803	D₄²	—	2	1	no	—
804	D₄²	—	2	1	no	—
805	D₄²	—	5	1	no	—
806	D₄²	C₂×D₅	1	1	yes	characteristic
807	D₄²	C₂×D₅	1	1	yes	characteristic, complemented
808	D₄²	C₂×D₅	1	1	yes	characteristic, complemented
809	D₄²	C₂×D₅	1	1	yes	characteristic, complemented
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	—	10	1	no	—
817	#535	C₂×D₅	1	1	yes	characteristic, complemented
818	#535	C₂×D₅	1	1	yes	characteristic, complemented
819	#534	—	2	1	no	—
820	#534	—	2	1	no	—
821	#534	—	10	1	no	—
822	#525	—	5	1	no	—
823	#525	C₂×D₅	1	1	yes	characteristic
824	#525	C₂×D₅	1	1	yes	characteristic, complemented
825	C₂×#121	—	5	1	no	—
826	C₂×#120	—	2	1	no	—
827	C₂×#120	—	2	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	—	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	—	5	1	no	—
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	—	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	—	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	—	5	1	no	—
874	#463	—	5	1	no	—
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	—	5	1	no	—
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	—	5	1	no	—
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	—	5	1	no	—
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	—	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	2	no	—
949	C₂³×C₅	—	2	1	no	—
950	C₂³×C₅	—	2	1	no	—
951	C₂³×C₅	—	2	1	no	—
952	C₂³×C₅	—	2	1	no	—
953	C₂³×C₅	—	2	1	no	—
954	C₂³×C₅	—	4	1	no	—
955	C₂³×C₅	—	4	1	no	—
956	C₂³×C₅	—	4	2	no	—
957	C₂³×C₅	—	4	2	no	—
958	C₂³×C₅	—	4	2	no	—
959	C₂³×C₅	—	4	2	no	—
960	C₂³×C₅	—	4	2	no	—
961	C₂³×C₅	—	4	2	no	—
962	C₂³×C₅	—	4	2	no	—
963	C₂³×C₅	—	4	2	no	—
964	C₂³×C₅	—	4	2	no	—
965	C₂³×C₅	—	4	2	no	—
966	C₂³×C₅	—	4	2	no	—
967	C₂³×C₅	—	8	1	no	—
968	C₂³×C₅	—	8	1	no	—
969	C₂³×C₅	—	8	1	no	—
970	C₂³×C₅	—	8	1	no	—
971	C₂³×C₅	—	8	1	no	—
972	C₂³×C₅	—	8	1	no	—
973	C₂³×C₅	—	8	1	no	—
974	C₂³×C₅	—	8	1	no	—
975	C₂³×C₅	—	8	1	no	—
976	C₂³×C₅	—	8	1	no	—
977	C₂³×C₅	—	8	1	no	—
978	C₂³×C₅	—	8	1	no	—
979	C₂³×C₅	—	8	16	no	—
980	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
981	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
982	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
983	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
984	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
985	C₂²×D₅	—	2	1	no	—
986	C₂²×D₅	—	2	1	no	—
987	C₂²×D₅	—	2	1	no	—
988	C₂²×D₅	—	4	2	no	—
989	C₂²×D₅	—	8	1	no	—
990	C₂²×D₅	—	8	1	no	—
991	C₂²×D₅	—	8	1	no	—
992	C₂²×D₅	—	8	1	no	—
993	C₂²×D₅	—	8	1	no	—
994	C₅×Q₈	—	2	1	no	—
995	C₅×Q₈	—	2	1	no	—
996	C₅×Q₈	—	4	1	no	—
997	C₅×D₄	—	2	4	no	—
998	C₅×D₄	—	2	2	no	—
999	C₅×D₄	—	2	2	no	—
1000	C₅×D₄	—	2	1	no	—
1001	C₅×D₄	—	2	1	no	—
1002	C₅×D₄	—	2	1	no	—
1003	C₅×D₄	—	2	1	no	—
1004	C₅×D₄	—	2	1	no	—
1005	C₅×D₄	—	2	1	no	—
1006	C₅×D₄	—	2	1	no	—
1007	C₅×D₄	—	2	1	no	—
1008	C₅×D₄	—	4	1	no	—
1009	C₅×D₄	—	4	1	no	—
1010	C₅×D₄	—	4	1	no	—
1011	C₅×D₄	—	4	1	no	—
1012	C₅×D₄	—	4	1	no	—
1013	C₅×D₄	—	4	2	no	—
1014	C₅×D₄	—	4	2	no	—
1015	C₅×D₄	—	4	2	no	—
1016	C₅×D₄	—	4	2	no	—
1017	C₅×D₄	—	4	2	no	—
1018	C₅×D₄	—	4	2	no	—
1019	C₅×D₄	—	4	2	no	—
1020	C₅×D₄	—	4	2	no	—
1021	C₅×D₄	—	4	2	no	—
1022	C₅×D₄	—	4	2	no	—
1023	C₅×D₄	—	4	2	no	—
1024	C₅×D₄	—	4	2	no	—
1025	C₅×D₄	—	8	1	no	—
1026	C₅×D₄	—	8	1	no	—
1027	C₅×D₄	—	8	1	no	—
1028	C₅×D₄	—	8	1	no	—
1029	C₅×D₄	—	8	1	no	—
1030	C₅×D₄	—	8	1	no	—
1031	C₅×D₄	—	8	1	no	—
1032	C₅×D₄	—	8	1	no	—
1033	C₅×D₄	H(5,𝔽₂)	1	2	yes	—
1034	C₅×D₄	H(5,𝔽₂)	1	2	yes	—
1035	C₂×C₄×C₅	—	2	1	no	—
1036	C₂×C₄×C₅	—	2	1	no	—
1037	C₂×C₄×C₅	—	2	1	no	—
1038	C₂×C₄×C₅	—	2	1	no	—
1039	C₂×C₄×C₅	—	2	1	no	—
1040	C₂×C₄×C₅	—	2	1	no	—
1041	C₂×C₄×C₅	—	2	1	no	—
1042	C₂×C₄×C₅	—	2	1	no	—
1043	C₂×C₄×C₅	—	2	1	no	—
1044	C₂×C₄×C₅	—	2	1	no	—
1045	C₂×C₄×C₅	—	2	1	no	—
1046	C₂×C₄×C₅	—	2	1	no	—
1047	C₂×C₄×C₅	—	2	1	no	—
1048	C₂×C₄×C₅	—	4	1	no	—
1049	C₂×C₄×C₅	—	4	1	no	—
1050	C₂×C₄×C₅	—	4	1	no	—
1051	C₂×C₄×C₅	—	4	2	no	—
1052	C₂×C₄×C₅	—	4	2	no	—
1053	C₂×C₄×C₅	—	4	2	no	—
1054	C₂×C₄×C₅	—	8	1	no	—
1055	C₂×C₄×C₅	—	8	1	no	—
1056	C₂×C₄×C₅	—	8	1	no	—
1057	C₂×C₄×C₅	—	8	1	no	—
1058	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
1059	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
1060	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
1061	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
1062	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
1063	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
1064	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
1065	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
1066	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
1067	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
1068	C₂²⋊D₅	—	4	2	no	—
1069	C₂²⋊D₅	—	8	1	no	—
1070	C₂²⋊D₅	—	8	1	no	—
1071	C₂²⋊D₅	—	8	1	no	—
1072	C₂²⋊D₅	—	8	1	no	—
1073	C₂²⋊D₅	—	8	1	no	—
1074	C₂²⋊D₅	—	8	1	no	—
1075	C₂²⋊D₅	—	8	1	no	—
1076	C₂²⋊D₅	—	8	1	no	—
1077	C₂²⋊D₅	—	8	1	no	—
1078	C₂²⋊D₅	—	8	1	no	—
1079	C₂×Dic₅	—	2	1	no	—
1080	C₂×Dic₅	—	2	1	no	—
1081	C₂×Dic₅	—	2	1	no	—
1082	C₂×Dic₅	—	2	1	no	—
1083	C₂×Dic₅	—	2	1	no	—
1084	C₂×Dic₅	—	4	2	no	—
1085	C₂×Dic₅	—	8	1	no	—
1086	D₂₀	—	2	1	no	—
1087	D₂₀	—	2	1	no	—
1088	D₂₀	—	2	1	no	—
1089	D₂₀	—	2	1	no	—
1090	D₂₀	—	2	1	no	—
1091	D₂₀	—	2	1	no	—
1092	D₂₀	—	8	1	no	—
1093	D₂₀	—	8	1	no	—
1094	D₂₀	—	8	1	no	—
1095	D₂₀	—	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	C₄×D₅	—	8	1	no	—
1101	Dic₁₀	—	2	1	no	—
1102	Dic₁₀	—	2	1	no	—
1103	Dic₁₀	—	8	1	no	—
1104	#168	—	2	1	no	—
1105	#168	—	2	1	no	—
1106	#168	—	2	1	no	—
1107	#168	—	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	—	2	1	no	—
1113	H(5,𝔽₂)	—	4	2	no	—
1114	H(5,𝔽₂)	—	4	2	no	—
1115	C₂×#41	—	2	1	no	—
1116	C₂×#41	—	5	1	no	—
1117	C₂×#41	—	5	1	no	—
1118	C₂×#41	—	10	1	no	—
1119	C₂×#41	C₂²×D₅	1	1	yes	characteristic
1120	C₂×#41	C₂²×D₅	1	1	yes	characteristic
1121	C₂×#41	C₂²×D₅	1	1	yes	characteristic
1122	C₂×#41	C₂²×D₅	1	1	yes	characteristic
1123	C₂²×D₄	—	2	1	no	—
1124	C₂²×D₄	—	2	1	no	—
1125	C₂²×D₄	—	2	1	no	—
1126	C₂²×D₄	—	2	1	no	—
1127	C₂²×D₄	—	2	1	no	—
1128	C₂²×D₄	—	2	1	no	—
1129	C₂²×D₄	—	2	1	no	—
1130	C₂²×D₄	—	2	1	no	—
1131	C₂²×D₄	—	2	1	no	—
1132	C₂²×D₄	—	2	1	no	—
1133	C₂²×D₄	—	4	2	no	—
1134	C₂²×D₄	—	4	2	no	—
1135	C₂²×D₄	—	5	1	no	—
1136	C₂²×D₄	—	5	1	no	—
1137	C₂²×D₄	—	10	1	no	—
1138	C₂²×D₄	—	10	1	no	—
1139	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
1140	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
1141	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
1142	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
1143	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
1144	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
1145	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
1146	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
1147	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic
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	—	5	1	no	—
1161	C₂×SD₁₆	—	5	1	no	—
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	—	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	—	5	1	no	—
1189	#127	—	2	1	no	—
1190	#127	—	5	1	no	—
1191	#127	—	10	1	no	—
1192	#127	—	10	1	no	—
1193	#127	C₂²×D₅	1	1	yes	characteristic
1194	#127	C₂²×D₅	1	1	yes	characteristic
1195	#126	—	10	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	—	10	1	no	—
1203	#124	—	10	1	no	—
1204	#124	—	10	1	no	—
1205	#124	—	10	1	no	—
1206	#124	C₂²×D₅	1	1	yes	characteristic
1207	#124	C₂²×D₅	1	1	yes	characteristic
1208	#123	—	2	1	no	—
1209	#123	—	2	1	no	—
1210	#123	—	2	1	no	—
1211	#123	—	2	1	no	—
1212	#123	—	2	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	C₂²⋊D₅	1	1	yes	characteristic
1224	#123	C₂²⋊D₅	1	1	yes	characteristic
1225	C₂²⋊Q₈	—	5	1	no	—
1226	C₂²⋊Q₈	—	5	1	no	—
1227	C₂²⋊Q₈	—	5	1	no	—
1228	C₂²⋊Q₈	—	10	1	no	—
1229	C₂²⋊Q₈	—	10	1	no	—
1230	C₂²⋊Q₈	—	10	1	no	—
1231	C₂²⋊Q₈	C₂²⋊D₅	1	1	yes	characteristic
1232	C₂²⋊Q₈	C₂²⋊D₅	1	1	yes	characteristic
1233	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1234	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1235	#121	—	2	1	no	—
1236	#121	—	2	1	no	—
1237	#121	—	2	1	no	—
1238	#121	—	2	1	no	—
1239	#121	—	2	1	no	—
1240	#121	—	2	1	no	—
1241	#121	—	2	1	no	—
1242	#121	—	2	1	no	—
1243	#121	—	2	1	no	—
1244	#121	—	2	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	—	5	1	no	—
1252	#121	—	5	1	no	—
1253	#121	—	5	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	C₂²⋊D₅	1	1	yes	characteristic
1269	#121	C₂²⋊D₅	1	1	yes	characteristic
1270	#121	C₂²×D₅	1	1	yes	characteristic
1271	#121	C₂²×D₅	1	1	yes	characteristic
1272	#121	C₂²×D₅	1	1	yes	characteristic
1273	#121	C₂²×D₅	1	1	yes	characteristic
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	—	2	1	no	—
1279	#120	—	2	1	no	—
1280	#120	—	2	1	no	—
1281	#120	—	2	1	no	—
1282	#120	—	2	1	no	—
1283	#120	—	2	1	no	—
1284	#120	—	2	1	no	—
1285	#120	—	2	1	no	—
1286	#120	—	2	1	no	—
1287	#120	—	2	1	no	—
1288	#120	—	2	1	no	—
1289	#120	—	2	1	no	—
1290	#120	—	2	1	no	—
1291	#120	—	2	1	no	—
1292	#120	—	2	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	C₂²⋊D₅	1	1	yes	characteristic
1301	#120	C₂²⋊D₅	1	1	yes	characteristic
1302	C₄×Q₈	—	5	1	no	—
1303	C₄×D₄	—	2	1	no	—
1304	C₄×D₄	—	2	1	no	—
1305	C₄×D₄	—	2	1	no	—
1306	C₄×D₄	—	2	1	no	—
1307	C₄×D₄	—	5	1	no	—
1308	C₄×D₄	—	5	1	no	—
1309	C₄×D₄	—	5	1	no	—
1310	C₄×D₄	—	10	1	no	—
1311	C₄×D₄	—	10	1	no	—
1312	C₄×D₄	—	10	1	no	—
1313	C₄×D₄	—	10	1	no	—
1314	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1315	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1316	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
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
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	—	2	1	no	—
1333	C₂×C₂²⋊C₄	—	2	1	no	—
1334	C₂×C₂²⋊C₄	—	2	1	no	—
1335	C₂×C₂²⋊C₄	—	2	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	—	5	1	no	—
1342	#107	—	5	1	no	—
1343	#106	—	5	1	no	—
1344	#106	—	5	1	no	—
1345	#106	—	5	1	no	—
1346	#106	—	5	1	no	—
1347	C₄⋊C₈	—	5	1	no	—
1348	C₄⋊C₈	—	5	1	no	—
1349	C₄⋊C₈	—	5	1	no	—
1350	C₄⋊C₈	—	5	1	no	—
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	—	5	1	no	—
1357	#102	—	5	1	no	—
1358	#102	—	5	1	no	—
1359	#102	—	5	1	no	—
1360	#102	—	5	1	no	—
1361	#102	—	5	1	no	—
1362	#102	—	5	1	no	—
1363	#102	—	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	—	5	1	no	—
1378	#102	—	5	1	no	—
1379	#102	—	5	1	no	—
1380	#102	—	5	1	no	—
1381	#102	—	5	1	no	—
1382	#102	—	5	1	no	—
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	—	5	1	no	—
1394	C₂²⋊C₈	—	5	1	no	—
1395	#97	—	5	1	no	—
1396	#97	—	5	1	no	—
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	1	no	—
1403	C₂²×C₅	—	2	1	no	—
1404	C₂²×C₅	—	2	1	no	—
1405	C₂²×C₅	—	2	1	no	—
1406	C₂²×C₅	—	2	1	no	—
1407	C₂²×C₅	—	2	1	no	—
1408	C₂²×C₅	—	2	1	no	—
1409	C₂²×C₅	—	2	2	no	—
1410	C₂²×C₅	—	2	2	no	—
1411	C₂²×C₅	—	2	1	no	—
1412	C₂²×C₅	—	2	1	no	—
1413	C₂²×C₅	—	2	1	no	—
1414	C₂²×C₅	—	2	1	no	—
1415	C₂²×C₅	—	4	4	no	—
1416	C₂²×C₅	—	4	1	no	—
1417	C₂²×C₅	—	4	1	no	—
1418	C₂²×C₅	—	4	1	no	—
1419	C₂²×C₅	—	4	1	no	—
1420	C₂²×C₅	—	4	1	no	—
1421	C₂²×C₅	—	4	1	no	—
1422	C₂²×C₅	—	4	1	no	—
1423	C₂²×C₅	—	4	1	no	—
1424	C₂²×C₅	—	4	1	no	—
1425	C₂²×C₅	—	4	1	no	—
1426	C₂²×C₅	—	4	1	no	—
1427	C₂²×C₅	—	4	1	no	—
1428	C₂²×C₅	—	4	1	no	—
1429	C₂²×C₅	—	8	4	no	—
1430	C₂²×C₅	—	8	4	no	—
1431	C₂²×C₅	—	8	4	no	—
1432	C₂²×C₅	—	8	4	no	—
1433	C₂²×C₅	—	8	4	no	—
1434	C₂²×C₅	—	8	4	no	—
1435	C₂²×C₅	—	16	2	no	—
1436	C₂²×C₅	—	16	2	no	—
1437	C₂²×C₅	#576	1	2	yes	—
1438	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1439	C₂×D₅	—	4	1	no	—
1440	C₂×D₅	—	4	1	no	—
1441	C₂×D₅	—	4	1	no	—
1442	C₂×D₅	—	4	1	no	—
1443	C₂×D₅	—	4	1	no	—
1444	C₂×D₅	—	4	1	no	—
1445	C₂×D₅	—	4	1	no	—
1446	C₂×D₅	—	4	1	no	—
1447	C₂×D₅	—	4	1	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	—	2	1	no	—
1455	C₄×C₅	—	2	1	no	—
1456	C₄×C₅	—	2	1	no	—
1457	C₄×C₅	—	2	1	no	—
1458	C₄×C₅	—	2	1	no	—
1459	C₄×C₅	—	4	1	no	—
1460	C₄×C₅	—	4	1	no	—
1461	C₄×C₅	—	4	1	no	—
1462	C₄×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1463	C₄×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1464	Dic₅	—	4	1	no	—
1465	Dic₅	—	4	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	—	2	1	no	—
1472	C₂⁴	—	2	1	no	—
1473	C₂⁴	—	2	1	no	—
1474	C₂⁴	—	2	1	no	—
1475	C₂⁴	—	2	1	no	—
1476	C₂⁴	—	2	1	no	—
1477	C₂⁴	—	4	4	no	—
1478	C₂⁴	—	8	2	no	—
1479	C₂⁴	—	8	2	no	—
1480	C₂⁴	—	10	1	no	—
1481	C₂⁴	—	10	1	no	—
1482	C₂⁴	C₂×C₂²⋊D₅	1	1	yes	characteristic
1483	#41	—	2	2	no	—
1484	#41	—	2	2	no	—
1485	#41	—	4	1	no	—
1486	#41	—	4	1	no	—
1487	#41	—	4	1	no	—
1488	#41	—	4	1	no	—
1489	#41	—	4	1	no	—
1490	#41	—	4	1	no	—
1491	#41	—	4	4	no	—
1492	#41	—	20	1	no	—
1493	#41	—	20	1	no	—
1494	#41	—	20	1	no	—
1495	#41	—	20	1	no	—
1496	#41	—	40	2	no	—
1497	C₂×Q₈	—	5	1	no	—
1498	C₂×Q₈	—	10	1	no	—
1499	C₂×Q₈	C₂×C₂²⋊D₅	1	1	yes	characteristic
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	2	no	—
1504	C₂×D₄	—	2	2	no	—
1505	C₂×D₄	—	2	2	no	—
1506	C₂×D₄	—	2	2	no	—
1507	C₂×D₄	—	2	2	no	—
1508	C₂×D₄	—	2	2	no	—
1509	C₂×D₄	—	2	1	no	—
1510	C₂×D₄	—	2	1	no	—
1511	C₂×D₄	—	2	1	no	—
1512	C₂×D₄	—	2	1	no	—
1513	C₂×D₄	—	2	1	no	—
1514	C₂×D₄	—	2	1	no	—
1515	C₂×D₄	—	2	1	no	—
1516	C₂×D₄	—	2	1	no	—
1517	C₂×D₄	—	2	1	no	—
1518	C₂×D₄	—	2	1	no	—
1519	C₂×D₄	—	2	1	no	—
1520	C₂×D₄	—	2	1	no	—
1521	C₂×D₄	—	2	1	no	—
1522	C₂×D₄	—	2	1	no	—
1523	C₂×D₄	—	2	1	no	—
1524	C₂×D₄	—	2	1	no	—
1525	C₂×D₄	—	2	1	no	—
1526	C₂×D₄	—	2	1	no	—
1527	C₂×D₄	—	2	1	no	—
1528	C₂×D₄	—	2	1	no	—
1529	C₂×D₄	—	2	1	no	—
1530	C₂×D₄	—	4	1	no	—
1531	C₂×D₄	—	4	1	no	—
1532	C₂×D₄	—	4	1	no	—
1533	C₂×D₄	—	4	1	no	—
1534	C₂×D₄	—	4	1	no	—
1535	C₂×D₄	—	4	1	no	—
1536	C₂×D₄	—	4	1	no	—
1537	C₂×D₄	—	4	1	no	—
1538	C₂×D₄	—	4	4	no	—
1539	C₂×D₄	—	4	4	no	—
1540	C₂×D₄	—	4	4	no	—
1541	C₂×D₄	—	4	4	no	—
1542	C₂×D₄	—	4	4	no	—
1543	C₂×D₄	—	4	4	no	—
1544	C₂×D₄	—	5	1	no	—
1545	C₂×D₄	—	5	1	no	—
1546	C₂×D₄	—	5	1	no	—
1547	C₂×D₄	—	8	2	no	—
1548	C₂×D₄	—	8	2	no	—
1549	C₂×D₄	—	8	2	no	—
1550	C₂×D₄	—	8	2	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	—	10	1	no	—
1560	C₂×D₄	—	10	1	no	—
1561	C₂×D₄	—	10	1	no	—
1562	C₂×D₄	—	10	1	no	—
1563	C₂×D₄	—	10	1	no	—
1564	C₂×D₄	—	10	1	no	—
1565	C₂×D₄	—	10	1	no	—
1566	C₂×D₄	—	20	1	no	—
1567	C₂×D₄	—	20	1	no	—
1568	C₂×D₄	—	20	1	no	—
1569	C₂×D₄	—	20	1	no	—
1570	C₂×D₄	—	40	2	no	—
1571	C₂×D₄	—	40	2	no	—
1572	C₂×D₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1573	C₂×D₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1574	C₂×D₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1575	C₂×D₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1576	C₂×D₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1577	C₂×D₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1578	C₂×D₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1579	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1580	C₂×D₄	C₂³×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	—	2	1	no	—
1587	C₂²×C₄	—	2	1	no	—
1588	C₂²×C₄	—	2	1	no	—
1589	C₂²×C₄	—	2	1	no	—
1590	C₂²×C₄	—	2	1	no	—
1591	C₂²×C₄	—	4	1	no	—
1592	C₂²×C₄	—	4	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	C₂×C₂²⋊D₅	1	1	yes	characteristic
1601	C₂²×C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1602	C₂²×C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1603	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1604	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1605	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
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	—	10	2	no	—
1610	SD₁₆	—	10	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	—	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	—	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	—	5	1	no	—
1641	C₂×C₈	—	5	1	no	—
1642	C₂×C₈	—	5	1	no	—
1643	C₂×C₈	—	5	1	no	—
1644	C₂×C₈	—	20	1	no	—
1645	C₂×C₈	—	20	1	no	—
1646	C₂×C₈	—	20	1	no	—
1647	C₂×C₈	—	20	1	no	—
1648	C₄⋊C₄	—	2	1	no	—
1649	C₄⋊C₄	—	2	1	no	—
1650	C₄⋊C₄	—	5	1	no	—
1651	C₄⋊C₄	—	5	1	no	—
1652	C₄⋊C₄	—	5	1	no	—
1653	C₄⋊C₄	—	5	1	no	—
1654	C₄⋊C₄	—	10	1	no	—
1655	C₄⋊C₄	—	10	1	no	—
1656	C₄⋊C₄	—	10	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	C₂×C₂²⋊D₅	1	1	yes	characteristic
1664	C₄⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1665	C₄⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1666	C₄⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1667	C₄⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1668	C₄⋊C₄	C₂×C₂²⋊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	—	2	1	no	—
1682	C₂²⋊C₄	—	2	1	no	—
1683	C₂²⋊C₄	—	2	1	no	—
1684	C₂²⋊C₄	—	2	1	no	—
1685	C₂²⋊C₄	—	2	1	no	—
1686	C₂²⋊C₄	—	2	1	no	—
1687	C₂²⋊C₄	—	2	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	C₂×C₂²⋊D₅	1	1	yes	characteristic
1708	C₂²⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1709	C₂²⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1710	C₂²⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1711	C₂²⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1712	C₂²⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1713	C₂²⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1714	C₂²⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1715	C₂²⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1716	C₂²⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1717	C₄²	—	2	1	no	—
1718	C₄²	—	10	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	—	2	2	no	—
1724	C₂×C₅	—	4	1	no	—
1725	C₂×C₅	—	4	1	no	—
1726	C₂×C₅	—	4	1	no	—
1727	C₂×C₅	—	4	1	no	—
1728	C₂×C₅	—	4	2	no	—
1729	C₂×C₅	—	4	2	no	—
1730	C₂×C₅	—	8	1	no	—
1731	C₂×C₅	—	8	1	no	—
1732	C₂×C₅	—	8	1	no	—
1733	C₂×C₅	#3484	1	1	yes	characteristic
1734	C₂×C₅	C₂×#576	1	1	yes	characteristic
1735	C₂×C₅	#3585	1	1	yes	characteristic
1736	D₅	—	8	1	no	—
1737	D₅	—	8	1	no	—
1738	D₅	—	8	1	no	—
1739	C₂³	—	2	4	no	—
1740	C₂³	—	2	2	no	—
1741	C₂³	—	2	1	no	—
1742	C₂³	—	2	1	no	—
1743	C₂³	—	2	1	no	—
1744	C₂³	—	2	1	no	—
1745	C₂³	—	2	1	no	—
1746	C₂³	—	4	1	no	—
1747	C₂³	—	4	1	no	—
1748	C₂³	—	4	2	no	—
1749	C₂³	—	4	2	no	—
1750	C₂³	—	4	2	no	—
1751	C₂³	—	4	2	no	—
1752	C₂³	—	4	2	no	—
1753	C₂³	—	4	2	no	—
1754	C₂³	—	4	2	no	—
1755	C₂³	—	4	2	no	—
1756	C₂³	—	4	2	no	—
1757	C₂³	—	4	2	no	—
1758	C₂³	—	4	2	no	—
1759	C₂³	—	8	1	no	—
1760	C₂³	—	8	1	no	—
1761	C₂³	—	8	1	no	—
1762	C₂³	—	8	1	no	—
1763	C₂³	—	8	1	no	—
1764	C₂³	—	8	1	no	—
1765	C₂³	—	8	1	no	—
1766	C₂³	—	8	1	no	—
1767	C₂³	—	8	1	no	—
1768	C₂³	—	8	1	no	—
1769	C₂³	—	8	1	no	—
1770	C₂³	—	8	1	no	—
1771	C₂³	—	8	16	no	—
1772	C₂³	—	10	1	no	—
1773	C₂³	—	10	1	no	—
1774	C₂³	—	10	1	no	—
1775	C₂³	—	20	2	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	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1782	C₂³	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1783	C₂³	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1784	C₂³	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1785	C₂³	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1786	Q₈	—	2	1	no	—
1787	Q₈	—	2	1	no	—
1788	Q₈	—	4	1	no	—
1789	Q₈	—	10	1	no	—
1790	Q₈	—	10	1	no	—
1791	Q₈	—	40	1	no	—
1792	D₄	—	2	4	no	—
1793	D₄	—	2	2	no	—
1794	D₄	—	2	2	no	—
1795	D₄	—	2	1	no	—
1796	D₄	—	2	1	no	—
1797	D₄	—	2	1	no	—
1798	D₄	—	2	1	no	—
1799	D₄	—	2	1	no	—
1800	D₄	—	2	1	no	—
1801	D₄	—	2	1	no	—
1802	D₄	—	2	1	no	—
1803	D₄	—	4	1	no	—
1804	D₄	—	4	1	no	—
1805	D₄	—	4	1	no	—
1806	D₄	—	4	1	no	—
1807	D₄	—	4	1	no	—
1808	D₄	—	4	2	no	—
1809	D₄	—	4	2	no	—
1810	D₄	—	4	2	no	—
1811	D₄	—	4	2	no	—
1812	D₄	—	4	2	no	—
1813	D₄	—	4	2	no	—
1814	D₄	—	4	2	no	—
1815	D₄	—	4	2	no	—
1816	D₄	—	4	2	no	—
1817	D₄	—	4	2	no	—
1818	D₄	—	4	2	no	—
1819	D₄	—	4	2	no	—
1820	D₄	—	8	1	no	—
1821	D₄	—	8	1	no	—
1822	D₄	—	8	1	no	—
1823	D₄	—	8	1	no	—
1824	D₄	—	8	1	no	—
1825	D₄	—	8	1	no	—
1826	D₄	—	8	1	no	—
1827	D₄	—	8	1	no	—
1828	D₄	—	10	1	no	—
1829	D₄	—	10	1	no	—
1830	D₄	—	10	1	no	—
1831	D₄	—	10	1	no	—
1832	D₄	—	10	1	no	—
1833	D₄	—	10	1	no	—
1834	D₄	—	20	2	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	#4144	1	2	yes	—
1850	D₄	#4144	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	—	2	1	no	—
1861	C₂×C₄	—	2	1	no	—
1862	C₂×C₄	—	2	1	no	—
1863	C₂×C₄	—	2	1	no	—
1864	C₂×C₄	—	4	1	no	—
1865	C₂×C₄	—	4	1	no	—
1866	C₂×C₄	—	4	1	no	—
1867	C₂×C₄	—	4	2	no	—
1868	C₂×C₄	—	4	2	no	—
1869	C₂×C₄	—	4	2	no	—
1870	C₂×C₄	—	8	1	no	—
1871	C₂×C₄	—	8	1	no	—
1872	C₂×C₄	—	8	1	no	—
1873	C₂×C₄	—	8	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	—	10	1	no	—
1879	C₂×C₄	—	20	2	no	—
1880	C₂×C₄	—	40	1	no	—
1881	C₂×C₄	—	40	1	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	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1887	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1888	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1889	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1890	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1891	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1892	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1893	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1894	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1895	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1896	C₈	—	10	1	no	—
1897	C₈	—	10	1	no	—
1898	C₈	—	10	1	no	—
1899	C₈	—	10	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	1	no	—
1909	C₂²	—	2	1	no	—
1910	C₂²	—	2	1	no	—
1911	C₂²	—	2	2	no	—
1912	C₂²	—	2	2	no	—
1913	C₂²	—	2	1	no	—
1914	C₂²	—	2	1	no	—
1915	C₂²	—	2	1	no	—
1916	C₂²	—	2	1	no	—
1917	C₂²	—	2	1	no	—
1918	C₂²	—	2	1	no	—
1919	C₂²	—	2	1	no	—
1920	C₂²	—	2	1	no	—
1921	C₂²	—	4	4	no	—
1922	C₂²	—	4	1	no	—
1923	C₂²	—	4	1	no	—
1924	C₂²	—	4	1	no	—
1925	C₂²	—	4	1	no	—
1926	C₂²	—	4	1	no	—
1927	C₂²	—	4	1	no	—
1928	C₂²	—	4	1	no	—
1929	C₂²	—	4	1	no	—
1930	C₂²	—	4	1	no	—
1931	C₂²	—	4	1	no	—
1932	C₂²	—	4	1	no	—
1933	C₂²	—	4	1	no	—
1934	C₂²	—	4	1	no	—
1935	C₂²	—	8	4	no	—
1936	C₂²	—	8	4	no	—
1937	C₂²	—	8	4	no	—
1938	C₂²	—	8	4	no	—
1939	C₂²	—	8	4	no	—
1940	C₂²	—	8	4	no	—
1941	C₂²	—	16	2	no	—
1942	C₂²	—	16	2	no	—
1943	C₂²	—	20	1	no	—
1944	C₂²	—	20	1	no	—
1945	C₂²	—	20	1	no	—
1946	C₂²	—	20	1	no	—
1947	C₂²	—	20	1	no	—
1948	C₂²	—	20	1	no	—
1949	C₂²	—	20	1	no	—
1950	C₂²	—	20	1	no	—
1951	C₂²	—	20	1	no	—
1952	C₂²	—	80	2	no	—
1953	C₂²	—	80	2	no	—
1954	C₂²	#66169	1	2	yes	—
1955	C₂²	C₂³×C₂²⋊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	—	2	1	no	—
1962	C₄	—	2	1	no	—
1963	C₄	—	2	1	no	—
1964	C₄	—	2	1	no	—
1965	C₄	—	4	1	no	—
1966	C₄	—	4	1	no	—
1967	C₄	—	4	1	no	—
1968	C₄	—	20	1	no	—
1969	C₄	—	20	1	no	—
1970	C₄	—	20	1	no	—
1971	C₄	—	20	1	no	—
1972	C₄	—	20	1	no	—
1973	C₄	C₂×#4144	1	1	yes	characteristic
1974	C₄	C₂×#4144	1	1	yes	characteristic
1975	C₂	—	2	2	no	—
1976	C₂	—	4	1	no	—
1977	C₂	—	4	1	no	—
1978	C₂	—	4	1	no	—
1979	C₂	—	4	1	no	—
1980	C₂	—	4	2	no	—
1981	C₂	—	4	2	no	—
1982	C₂	—	8	1	no	—
1983	C₂	—	8	1	no	—
1984	C₂	—	8	1	no	—
1985	C₂	—	40	1	no	—
1986	C₂	—	40	1	no	—
1987	C₂	—	40	1	no	—
1988	C₂	#10619140	1	1	yes	characteristic
1989	C₂	C₂×#66169	1	1	yes	characteristic
1990	C₂	#10619178	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂³×C₂²⋊D₅
commutator, cosocle	C₂×C₄×C₅	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₅
Fitting	C₅×#3484	C₂
socle	C₂²×C₅	C₂³×D₄
hypercenter	#3484	D₅
hypocenter	C₅	#61609
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ #525 ◁ #3484

Complements

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

N	H ≅ G/N	type
1. C₅×#3484	C₂	semidirect
2. #10617934	C₂	semidirect
3. #10615833	C₂	semidirect
4. #10615832	C₂	semidirect
5. #10615769	C₂	semidirect
6. C₂×#65506	C₂	semidirect
7. #10615238	C₂	semidirect
8. #10615236	C₂	semidirect
9. #10615235	C₂	semidirect
10. #10615233	C₂	semidirect
11. #10615231	C₂	semidirect
12. #10615230	C₂	semidirect
13. #10615227	C₂	semidirect
14. #10615225	C₂	semidirect
15. #10615223	C₂	semidirect
16. D₄×#686	C₂	semidirect
17. #10615219	C₂	semidirect
18. #10615219	C₂	semidirect
19. #10615218	C₂	semidirect
20. #10615216	C₂	semidirect
21. #10615215	C₂	semidirect
22. #10615213	C₂	semidirect
23. #10615120	C₂	semidirect
24. #10615119	C₂	semidirect
25. #10615118	C₂	semidirect
26. #10615117	C₂	semidirect
27. #10614662	C₂	semidirect
28. #10614661	C₂	semidirect
29. #10614650	C₂	semidirect
30. #10614273	C₂	semidirect
31. #10614272	C₂	semidirect
32. C₂×C₅×H(5,𝔽₂)	C₂²	semidirect
33. C₂³×C₅×D₄	C₂²	semidirect
37. C₅×#546	C₂²	semidirect
38. C₅×#546	C₂²	semidirect
39. C₅×#546	C₂²	semidirect
43. C₅×D₄²	C₂²	semidirect
44. C₅×D₄²	C₂²	semidirect
45. C₅×D₄²	C₂²	semidirect
46. C₅×#535	C₂²	semidirect
47. C₅×#535	C₂²	semidirect
51. C₅×#525	C₂²	semidirect
54. C₅×#518	C₂²	semidirect
55. #66167	C₂²	semidirect
56. #66164	C₂²	semidirect
57. C₂×#4096	C₂²	semidirect
58. C₂×#4095	C₂²	semidirect
59. C₂×#4078	C₂²	semidirect
60. C₂×#4078	C₂²	semidirect
61. C₂×#4078	C₂²	semidirect
62. C₂²×#686	C₂²	semidirect
63. C₂²×#686	C₂²	semidirect
64. C₂²×#686	C₂²	semidirect
65. #66125	C₂²	semidirect
66. C₂×#4076	C₂²	semidirect
75. #65899	C₂²	semidirect
76. #65897	C₂²	semidirect
77. #65889	C₂²	semidirect
78. #65887	C₂²	semidirect
79. #65884	C₂²	semidirect
80. #65884	C₂²	semidirect
81. D₄×D₂₀	C₂²	semidirect
82. #65875	C₂²	semidirect
83. #65869	C₂²	semidirect
84. #65868	C₂²	semidirect
85. #65528	C₂²	semidirect
86. #65528	C₂²	semidirect
87. #65527	C₂²	semidirect
88. #65527	C₂²	semidirect
89. #65527	C₂²	semidirect
90. #65527	C₂²	semidirect
91. #65527	C₂²	semidirect
92. #65527	C₂²	semidirect
93. #65523	C₂²	semidirect
94. #65523	C₂²	semidirect
95. #65522	C₂²	semidirect
96. #65521	C₂²	semidirect
97. #65507	C₂²	semidirect
98. #65507	C₂²	semidirect
99. #65507	C₂²	semidirect
100. #65507	C₂²	semidirect
101. #65507	C₂²	semidirect
103. #65506	C₂²	semidirect
104. #65506	C₂²	semidirect
105. #65506	C₂²	semidirect
106. #65506	C₂²	semidirect
107. #65506	C₂²	semidirect
108. #65506	C₂²	semidirect
109. #65506	C₂²	semidirect
110. #65506	C₂²	semidirect
111. #65506	C₂²	semidirect
112. #65506	C₂²	semidirect
113. #65506	C₂²	semidirect
114. #65506	C₂²	semidirect
115. #65506	C₂²	semidirect
116. #65506	C₂²	semidirect
117. #65504	C₂²	semidirect
118. #65504	C₂²	semidirect
119. #65504	C₂²	semidirect
120. C₂×#3964	C₂²	semidirect
121. C₂×#3964	C₂²	semidirect
122. C₂×#3964	C₂²	semidirect
123. #65496	C₂²	semidirect
124. C₂×C₂²⋊#168	C₂²	semidirect
125. #65364	C₂²	semidirect
126. #65363	C₂²	semidirect
127. #65362	C₂²	semidirect
128. #65361	C₂²	semidirect
129. #65361	C₂²	semidirect
130. #65361	C₂²	semidirect
131. #65360	C₂²	semidirect
132. #65359	C₂²	semidirect
133. #65348	C₂²	semidirect
134. #65347	C₂²	semidirect
135. #65346	C₂²	semidirect
136. #65346	C₂²	semidirect
137. #65346	C₂²	semidirect
138. #65345	C₂²	semidirect
139. #65344	C₂²	semidirect
140. #65343	C₂²	semidirect
141. #65340	C₂²	semidirect
142. #65338	C₂²	semidirect
143. #65338	C₂²	semidirect
144. #65337	C₂²	semidirect
145. #65336	C₂²	semidirect
146. #65335	C₂²	semidirect
147. #65334	C₂²	semidirect
148. #65332	C₂²	semidirect
149. #65331	C₂²	semidirect
150. #65330	C₂²	semidirect
151. #65330	C₂²	semidirect
152. #65328	C₂²	semidirect
153. #65328	C₂²	semidirect
154. #65328	C₂²	semidirect
155. #65328	C₂²	semidirect
156. #65328	C₂²	semidirect
157. #65327	C₂²	semidirect
158. #65327	C₂²	semidirect
159. #65327	C₂²	semidirect
160. #65327	C₂²	semidirect
161. #65326	C₂²	semidirect
162. #65326	C₂²	semidirect
163. #65326	C₂²	semidirect
164. #65325	C₂²	semidirect
165. #65325	C₂²	semidirect
166. #65325	C₂²	semidirect
167. #65324	C₂²	semidirect
168. #65324	C₂²	semidirect
169. #65324	C₂²	semidirect
170. #65323	C₂²	semidirect
171. #65322	C₂²	semidirect
172. #65322	C₂²	semidirect
173. #65307	C₂²	semidirect
174. C₄×#687	C₂²	semidirect
175. #65305	C₂²	semidirect
176. #65305	C₂²	semidirect
177. #65304	C₂²	semidirect
178. #65304	C₂²	semidirect
179. #65303	C₂²	semidirect
180. #65303	C₂²	semidirect
181. #65303	C₂²	semidirect
182. C₄×#686	C₂²	semidirect
183. C₄×#686	C₂²	semidirect
184. C₄×#686	C₂²	semidirect
185. #65301	C₂²	semidirect
186. #65301	C₂²	semidirect
187. #65300	C₂²	semidirect
188. #65300	C₂²	semidirect
189. #65300	C₂²	semidirect
190. #65300	C₂²	semidirect
191. D₄×#168	C₂²	semidirect
192. D₄×#168	C₂²	semidirect
193. #65298	C₂²	semidirect
194. #65298	C₂²	semidirect
195. #65297	C₂²	semidirect
196. #65296	C₂²	semidirect
197. #65292	C₂²	semidirect
198. #65292	C₂²	semidirect
199. #65292	C₂²	semidirect
200. #65289	C₂²	semidirect
201. #65289	C₂²	semidirect
202. #65285	C₂²	semidirect
237. C₂×#709	C₂³	semidirect
239. C₂²×D₂₀	C₂³	semidirect
319. C₂×#689	C₂³	semidirect
320. C₂×#688	C₂³	semidirect
321. C₂×#688	C₂³	semidirect
322. C₂×#688	C₂³	semidirect
339. C₂×#687	C₂³	semidirect
358. C₂×#686	C₂³	semidirect
359. C₂×#686	C₂³	semidirect
360. C₂×#686	C₂³	semidirect
369. #4076	C₂³	semidirect
370. #4076	C₂³	semidirect
371. #4076	C₂³	semidirect
377. #4072	C₂³	semidirect
379. C₂×C₄⋊Dic₅	C₂³	semidirect
382. #4070	C₂³	semidirect
385. C₂×#681	C₂³	semidirect
386. C₂×#681	C₂³	semidirect
389. C₂²×#168	C₂³	semidirect
390. C₂²×#168	C₂³	semidirect
423. #4021	C₂³	semidirect
424. #4020	C₂³	semidirect
425. C₄×D₂₀	C₂³	semidirect
426. C₄×D₂₀	C₂³	semidirect
427. C₄×D₂₀	C₂³	semidirect
428. #4016	C₂³	semidirect
429. #4015	C₂³	semidirect
430. C₄×Dic₁₀	C₂³	semidirect
431. #3967	C₂³	semidirect
432. #3967	C₂³	semidirect
433. #3967	C₂³	semidirect
434. #3967	C₂³	semidirect
451. #3964	C₂³	semidirect
452. #3964	C₂³	semidirect
453. #3964	C₂³	semidirect
454. #3964	C₂³	semidirect
463. C₂²⋊#168	C₂³	semidirect
464. C₂²⋊#168	C₂³	semidirect
465. C₂²⋊#168	C₂³	semidirect
466. C₂²⋊#168	C₂³	semidirect
467. #3942	C₂³	semidirect
468. #3942	C₂³	semidirect
469. #3941	C₂³	semidirect
470. #3941	C₂³	semidirect
471. #3941	C₂³	semidirect
472. #3941	C₂³	semidirect
473. #3941	C₂³	semidirect
474. #3941	C₂³	semidirect
475. #3940	C₂³	semidirect
476. #3940	C₂³	semidirect
477. #3940	C₂³	semidirect
478. #3940	C₂³	semidirect
479. #3939	C₂³	semidirect
480. #3939	C₂³	semidirect
481. #3939	C₂³	semidirect
482. #3939	C₂³	semidirect
483. C₄⋊#168	C₂³	semidirect
484. C₄⋊#168	C₂³	semidirect
485. C₄⋊#168	C₂³	semidirect
486. C₄⋊#168	C₂³	semidirect
487. #3935	C₂³	semidirect
488. #3935	C₂³	semidirect
489. C₄×#168	C₂³	semidirect
490. C₄×#168	C₂³	semidirect
492. #3484	D₅	semidirect
776. C₂×H(5,𝔽₂)	C₂×D₅	semidirect
777. C₂³×D₄	C₂×D₅	semidirect
800. #546	C₂×D₅	semidirect
801. #546	C₂×D₅	semidirect
802. #546	C₂×D₅	semidirect
807. D₄²	C₂×D₅	semidirect
808. D₄²	C₂×D₅	semidirect
809. D₄²	C₂×D₅	semidirect
817. #535	C₂×D₅	semidirect
818. #535	C₂×D₅	semidirect
824. #525	C₂×D₅	semidirect
828. #518	C₂×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
C₅×#3484	2
#10617934	2
#10615833	2
#10615832	2
#10615769	2
C₂×#65506	2
#10615238	2
#10615236	2
#10615235	2
#10615233	2
#10615231	2
#10615230	2
#10615227	2
#10615225	2
#10615223	2
D₄×#686	2
#10615219	2
#10615218	2
#10615216	2
#10615215	2
#10615213	2
#10615120	2
#10615119	2
#10615118	2
#10615117	2
#10614662	2
#10614661	2
#10614650	2
#10614273	2
#10614272	2
#61609	5