Subgroups — #12964334

Order 1280.

1658 conjugacy classes of subgroups.

The subgroup lattice has 1598 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10618178	C₂	1	1	yes	maximal, characteristic
2	C₅×#2987	C₂	1	1	yes	maximal, characteristic, complemented
3	#10615062	C₂	1	1	yes	maximal, characteristic, complemented
4	#10611699	C₂	1	1	yes	maximal, characteristic, complemented
5	#10611699	C₂	1	1	yes	maximal, characteristic, complemented
6	#10611698	C₂	1	1	yes	maximal, characteristic, complemented
7	#10611697	C₂	1	1	yes	maximal, characteristic, complemented
8	#10611697	C₂	1	1	yes	maximal, characteristic, complemented
9	#10611696	C₂	1	1	yes	maximal, characteristic, complemented
10	#10611695	C₂	1	1	yes	maximal, characteristic, complemented
11	#10611694	C₂	1	1	yes	maximal, characteristic, complemented
12	#10611693	C₂	1	1	yes	maximal, characteristic, complemented
13	#10611692	C₂	1	1	yes	maximal, characteristic, complemented
14	#10611692	C₂	1	1	yes	maximal, characteristic, complemented
15	#10611691	C₂	1	1	yes	maximal, characteristic, complemented
16	#10611690	C₂	1	1	yes	maximal, characteristic, complemented
17	#10611690	C₂	1	1	yes	maximal, characteristic, complemented
18	#10611689	C₂	1	1	yes	maximal, characteristic, complemented
19	D₅×#446	C₂	1	1	yes	maximal, characteristic, complemented
20	#10611106	C₂	1	1	yes	maximal, characteristic
21	#10611106	C₂	1	1	yes	maximal, characteristic
22	#10611104	C₂	1	1	yes	maximal, characteristic
23	#10611103	C₂	1	1	yes	maximal, characteristic
24	#10611092	C₂	1	1	yes	maximal, characteristic, complemented
25	#10611091	C₂	1	1	yes	maximal, characteristic, complemented
26	#10611090	C₂	1	1	yes	maximal, characteristic, complemented
27	#10611090	C₂	1	1	yes	maximal, characteristic, complemented
28	#10611065	C₂	1	1	yes	maximal, characteristic
29	#10611063	C₂	1	1	yes	maximal, characteristic
30	#10611046	C₂	1	1	yes	maximal, characteristic, complemented
31	#10611045	C₂	1	1	yes	maximal, characteristic, complemented
32	C₅×#533	C₂²	1	1	yes	characteristic
33	#66064	C₄	1	1	yes	characteristic
34	#66061	C₄	1	1	yes	characteristic
35	#66056	C₄	1	1	yes	characteristic
36	#66055	C₄	1	1	yes	characteristic
37	#66024	C₄	1	1	yes	characteristic
38	#66024	C₄	1	1	yes	characteristic
39	#66019	C₄	1	1	yes	characteristic
40	#66019	C₄	1	1	yes	characteristic
41	#65970	C₄	1	1	yes	characteristic
42	#65970	C₄	1	1	yes	characteristic
43	#65970	C₄	1	1	yes	characteristic
44	#65970	C₄	1	1	yes	characteristic
45	#65969	C₄	1	1	yes	characteristic
46	#65969	C₄	1	1	yes	characteristic
47	#65966	C₄	1	1	yes	characteristic
48	#65966	C₄	1	1	yes	characteristic
49	#65912	C₂²	1	1	yes	characteristic
50	#65912	C₂²	1	1	yes	characteristic
51	#65912	C₂²	1	1	yes	characteristic
52	#65912	C₂²	1	1	yes	characteristic
53	#65912	C₂²	1	1	yes	characteristic
54	#65912	C₂²	1	1	yes	characteristic
55	C₄×Q₈×D₅	C₂²	1	1	yes	characteristic
56	C₄×Q₈×D₅	C₂²	1	1	yes	characteristic
57	#65856	C₂²	1	1	yes	characteristic
58	#65856	C₂²	1	1	yes	characteristic
59	#65851	C₂²	1	1	yes	characteristic
60	#65851	C₂²	1	1	yes	characteristic
61	C₄×#709	C₂²	1	1	yes	characteristic
62	C₂×C₄×Dic₁₀	C₂²	1	1	yes	characteristic
63	C₅×#446	C₂²	1	1	yes	characteristic
64	C₅×#446	C₂²	1	1	yes	characteristic
65	C₅×#446	C₂²	1	1	yes	characteristic
66	C₅×#446	C₂²	1	1	yes	characteristic
67	C₅×#446	C₂²	1	1	yes	characteristic
68	C₅×#446	C₂²	1	1	yes	characteristic
69	C₅×#446	C₂²	1	1	yes	characteristic
70	C₅×#446	C₂²	1	1	yes	characteristic
71	C₅×#433	C₂²	1	1	yes	characteristic
72	C₅×#433	C₂²	1	1	yes	characteristic
73	C₅×#433	C₂²	1	1	yes	characteristic
74	C₅×#433	C₂²	1	1	yes	characteristic
75	C₅×#432	C₂²	1	1	yes	characteristic
76	C₅×#432	C₂²	1	1	yes	characteristic
77	#65313	C₂²	1	1	yes	characteristic
78	#65313	C₂²	1	1	yes	characteristic
79	#65313	C₂²	1	1	yes	characteristic
80	#65313	C₂²	1	1	yes	characteristic
81	#65313	C₂²	1	1	yes	characteristic
82	#65313	C₂²	1	1	yes	characteristic
83	Q₈×#168	C₂²	1	1	yes	characteristic
84	Q₈×#168	C₂²	1	1	yes	characteristic
85	#65289	C₂²	1	1	yes	characteristic
86	#65289	C₂²	1	1	yes	characteristic
87	#65289	C₂²	1	1	yes	characteristic
88	#65289	C₂²	1	1	yes	characteristic
89	#65215	C₂²	1	1	yes	characteristic
90	#65214	C₂²	1	1	yes	characteristic
91	#65129	C₂²	1	1	yes	characteristic
92	#65129	C₂²	1	1	yes	characteristic
93	#65129	C₂²	1	1	yes	characteristic
94	#65129	C₂²	1	1	yes	characteristic
95	#65129	C₂²	1	1	yes	characteristic
96	#65129	C₂²	1	1	yes	characteristic
97	#65128	C₂²	1	1	yes	characteristic
98	#65128	C₂²	1	1	yes	characteristic
99	#65128	C₂²	1	1	yes	characteristic
100	#65128	C₂²	1	1	yes	characteristic
101	#65128	C₂²	1	1	yes	characteristic
102	#65128	C₂²	1	1	yes	characteristic
103	#65126	C₂²	1	1	yes	characteristic
104	#65126	C₂²	1	1	yes	characteristic
105	#65126	C₂²	1	1	yes	characteristic
106	#65124	C₂²	1	1	yes	characteristic
107	#65124	C₂²	1	1	yes	characteristic
108	#65124	C₂²	1	1	yes	characteristic
109	#65122	C₂²	1	1	yes	characteristic
110	#65122	C₂²	1	1	yes	characteristic
111	#65122	C₂²	1	1	yes	characteristic
112	D₅×C₄⋊C₈	C₂²	1	1	yes	characteristic
113	D₅×C₄⋊C₈	C₂²	1	1	yes	characteristic
114	D₅×C₄⋊C₈	C₂²	1	1	yes	characteristic
115	#65120	C₂²	1	1	yes	characteristic
116	#65120	C₂²	1	1	yes	characteristic
117	#65120	C₂²	1	1	yes	characteristic
118	#65120	C₂²	1	1	yes	characteristic
119	#65120	C₂²	1	1	yes	characteristic
120	#65120	C₂²	1	1	yes	characteristic
121	#65119	C₂²	1	1	yes	characteristic
122	#65119	C₂²	1	1	yes	characteristic
123	#65119	C₂²	1	1	yes	characteristic
124	#65119	C₂²	1	1	yes	characteristic
125	#65119	C₂²	1	1	yes	characteristic
126	#65119	C₂²	1	1	yes	characteristic
127	#65117	C₂²	1	1	yes	characteristic
128	#65117	C₂²	1	1	yes	characteristic
129	#65117	C₂²	1	1	yes	characteristic
130	#65117	C₂²	1	1	yes	characteristic
131	#65117	C₂²	1	1	yes	characteristic
132	#65117	C₂²	1	1	yes	characteristic
133	#65117	C₂²	1	1	yes	characteristic
134	#65117	C₂²	1	1	yes	characteristic
135	#65117	C₂²	1	1	yes	characteristic
136	#65117	C₂²	1	1	yes	characteristic
137	#65117	C₂²	1	1	yes	characteristic
138	#65117	C₂²	1	1	yes	characteristic
139	#65016	C₂²	1	1	yes	characteristic
140	#65016	C₂²	1	1	yes	characteristic
141	#65016	C₂²	1	1	yes	characteristic
142	#65016	C₂²	1	1	yes	characteristic
143	#65009	C₂²	1	1	yes	characteristic
144	#65009	C₂²	1	1	yes	characteristic
145	#65009	C₂²	1	1	yes	characteristic
146	#65009	C₂²	1	1	yes	characteristic
147	#65008	C₂²	1	1	yes	characteristic
148	#65008	C₂²	1	1	yes	characteristic
149	#65008	C₂²	1	1	yes	characteristic
150	#65008	C₂²	1	1	yes	characteristic
151	#65007	C₂²	1	1	yes	characteristic
152	#65007	C₂²	1	1	yes	characteristic
153	#65007	C₂²	1	1	yes	characteristic
154	#65007	C₂²	1	1	yes	characteristic
155	#64998	C₂²	1	1	yes	characteristic
156	#64998	C₂²	1	1	yes	characteristic
157	#64998	C₂²	1	1	yes	characteristic
158	#64998	C₂²	1	1	yes	characteristic
159	#64997	C₂²	1	1	yes	characteristic
160	#64997	C₂²	1	1	yes	characteristic
161	#64997	C₂²	1	1	yes	characteristic
162	#64997	C₂²	1	1	yes	characteristic
163	#64996	C₂²	1	1	yes	characteristic
164	#64996	C₂²	1	1	yes	characteristic
165	#64994	C₂²	1	1	yes	characteristic
166	#64994	C₂²	1	1	yes	characteristic
167	#64994	C₂²	1	1	yes	characteristic
168	#64994	C₂²	1	1	yes	characteristic
169	D₅×#97	C₂²	1	1	yes	characteristic
170	D₅×#97	C₂²	1	1	yes	characteristic
171	#64990	C₂²	1	1	yes	characteristic
172	#64990	C₂²	1	1	yes	characteristic
173	#64990	C₂²	1	1	yes	characteristic
174	#64990	C₂²	1	1	yes	characteristic
175	#64990	C₂²	1	1	yes	characteristic
176	#64990	C₂²	1	1	yes	characteristic
177	#64990	C₂²	1	1	yes	characteristic
178	#64990	C₂²	1	1	yes	characteristic
179	#64990	C₂²	1	1	yes	characteristic
180	#64990	C₂²	1	1	yes	characteristic
181	#64990	C₂²	1	1	yes	characteristic
182	#64990	C₂²	1	1	yes	characteristic
183	#64990	C₂²	1	1	yes	characteristic
184	#64990	C₂²	1	1	yes	characteristic
185	#64990	C₂²	1	1	yes	characteristic
186	#64990	C₂²	1	1	yes	characteristic
187	#64979	C₂²	1	1	yes	characteristic
188	#64979	C₂²	1	1	yes	characteristic
189	#64978	C₂²	1	1	yes	characteristic
190	#64978	C₂²	1	1	yes	characteristic
191	C₄×#676	C₂²	1	1	yes	characteristic
192	#64974	C₂²	1	1	yes	characteristic
193	#64974	C₂²	1	1	yes	characteristic
194	C₄×C₈×D₅	C₂²	1	1	yes	characteristic
195	#64968	C₂²	1	1	yes	characteristic
196	#64968	C₂²	1	1	yes	characteristic
197	#64968	C₂²	1	1	yes	characteristic
198	#64968	C₂²	1	1	yes	characteristic
199	C₈×Dic₁₀	C₂²	1	1	yes	characteristic
200	C₈×Dic₁₀	C₂²	1	1	yes	characteristic
201	C₈×Dic₁₀	C₂²	1	1	yes	characteristic
202	C₈×Dic₁₀	C₂²	1	1	yes	characteristic
203	#60254	—	5	1	no	maximal, Sylow
204	C₂×Q₈×D₅	C₂×C₄	1	1	yes	characteristic
205	C₂×Q₈×D₅	C₂×C₄	1	1	yes	characteristic
206	C₂×#709	C₂³	1	1	yes	characteristic
207	C₂²×Dic₁₀	C₂×C₄	1	1	yes	characteristic
208	C₅×C₄⋊Q₈	C₂×C₄	1	1	yes	characteristic
209	C₅×C₄⋊Q₈	C₂×C₄	1	1	yes	characteristic
210	C₅×#125	C₂×C₄	1	1	yes	characteristic
211	C₅×#125	C₂×C₄	1	1	yes	characteristic
212	C₅×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
213	C₅×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
214	C₅×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
215	C₅×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
216	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
217	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
218	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
219	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
220	C₅×#117	C₂³	1	1	yes	characteristic
221	C₅×#117	C₂³	1	1	yes	characteristic
222	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
223	#4092	C₂×C₄	1	1	yes	characteristic
224	#4092	C₂×C₄	1	1	yes	characteristic
225	#4092	C₂×C₄	1	1	yes	characteristic
226	#4092	C₂×C₄	1	1	yes	characteristic
227	#4092	C₂×C₄	1	1	yes	characteristic
228	#4092	C₂×C₄	1	1	yes	characteristic
229	Q₈×Dic₅	C₂×C₄	1	1	yes	characteristic
230	Q₈×Dic₅	C₂×C₄	1	1	yes	characteristic
231	#4090	C₂×C₄	1	1	yes	characteristic
232	#4090	C₂×C₄	1	1	yes	characteristic
233	#4090	C₂×C₄	1	1	yes	characteristic
234	#4090	C₂×C₄	1	1	yes	characteristic
235	#4090	C₂×C₄	1	1	yes	characteristic
236	#4090	C₂×C₄	1	1	yes	characteristic
237	C₄×C₂²⋊D₅	C₂×C₄	1	1	yes	characteristic
238	C₄×C₂²⋊D₅	C₂×C₄	1	1	yes	characteristic
239	C₄×C₂²⋊D₅	C₂×C₄	1	1	yes	characteristic
240	C₄×C₂²⋊D₅	C₂×C₄	1	1	yes	characteristic
241	#4072	C₂³	1	1	yes	characteristic
242	C₂×C₄⋊Dic₅	C₂×C₄	1	1	yes	characteristic
243	C₂×#683	C₂×C₄	1	1	yes	characteristic
244	C₂×#683	C₂×C₄	1	1	yes	characteristic
245	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
246	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
247	C₂×#676	C₂³	1	1	yes	characteristic
248	C₂×#676	C₂³	1	1	yes	characteristic
249	C₂×#676	C₂³	1	1	yes	characteristic
250	C₂×#676	C₂³	1	1	yes	characteristic
251	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
252	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
253	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
254	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
255	#4043	C₂×C₄	1	1	yes	characteristic
256	#4043	C₂×C₄	1	1	yes	characteristic
257	#4043	C₂×C₄	1	1	yes	characteristic
258	#4043	C₂×C₄	1	1	yes	characteristic
259	#4043	C₂×C₄	1	1	yes	characteristic
260	#4043	C₂×C₄	1	1	yes	characteristic
261	#4042	C₂×C₄	1	1	yes	characteristic
262	#4042	C₂×C₄	1	1	yes	characteristic
263	#4042	C₂×C₄	1	1	yes	characteristic
264	#4042	C₂×C₄	1	1	yes	characteristic
265	#4042	C₂×C₄	1	1	yes	characteristic
266	#4042	C₂×C₄	1	1	yes	characteristic
267	#4042	C₂×C₄	1	1	yes	characteristic
268	#4042	C₂×C₄	1	1	yes	characteristic
269	#4042	C₂×C₄	1	1	yes	characteristic
270	#4042	C₂×C₄	1	1	yes	characteristic
271	#4042	C₂×C₄	1	1	yes	characteristic
272	#4042	C₂×C₄	1	1	yes	characteristic
273	#4039	C₂×C₄	1	1	yes	characteristic
274	#4039	C₂×C₄	1	1	yes	characteristic
275	#4039	C₂×C₄	1	1	yes	characteristic
276	#4039	C₂×C₄	1	1	yes	characteristic
277	D₅×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
278	D₅×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
279	D₅×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
280	D₅×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
281	D₅×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
282	D₅×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
283	#4036	C₂×C₄	1	1	yes	characteristic
284	#4036	C₂×C₄	1	1	yes	characteristic
285	#4036	C₂×C₄	1	1	yes	characteristic
286	#4036	C₂×C₄	1	1	yes	characteristic
287	#4035	C₂×C₄	1	1	yes	characteristic
288	#4035	C₂×C₄	1	1	yes	characteristic
289	#4035	C₂×C₄	1	1	yes	characteristic
290	#4035	C₂×C₄	1	1	yes	characteristic
291	#4035	C₂×C₄	1	1	yes	characteristic
292	#4035	C₂×C₄	1	1	yes	characteristic
293	#4035	C₂×C₄	1	1	yes	characteristic
294	#4035	C₂×C₄	1	1	yes	characteristic
295	#4035	C₂×C₄	1	1	yes	characteristic
296	#4035	C₂×C₄	1	1	yes	characteristic
297	#4035	C₂×C₄	1	1	yes	characteristic
298	#4035	C₂×C₄	1	1	yes	characteristic
299	#4034	C₂×C₄	1	1	yes	characteristic
300	#4034	C₂×C₄	1	1	yes	characteristic
301	#4034	C₂×C₄	1	1	yes	characteristic
302	#4034	C₂×C₄	1	1	yes	characteristic
303	#4034	C₂×C₄	1	1	yes	characteristic
304	#4034	C₂×C₄	1	1	yes	characteristic
305	#4034	C₂×C₄	1	1	yes	characteristic
306	#4034	C₂×C₄	1	1	yes	characteristic
307	#4034	C₂×C₄	1	1	yes	characteristic
308	#4034	C₂×C₄	1	1	yes	characteristic
309	#4033	C₂×C₄	1	1	yes	characteristic
310	#4033	C₂×C₄	1	1	yes	characteristic
311	#4033	C₂×C₄	1	1	yes	characteristic
312	#4033	C₂×C₄	1	1	yes	characteristic
313	#4033	C₂×C₄	1	1	yes	characteristic
314	#4033	C₂×C₄	1	1	yes	characteristic
315	#4033	C₂×C₄	1	1	yes	characteristic
316	#4033	C₂×C₄	1	1	yes	characteristic
317	#4033	C₂×C₄	1	1	yes	characteristic
318	#4033	C₂×C₄	1	1	yes	characteristic
319	#4027	C₂×C₄	1	1	yes	characteristic
320	#4027	C₂×C₄	1	1	yes	characteristic
321	#4027	C₂×C₄	1	1	yes	characteristic
322	#4027	C₂×C₄	1	1	yes	characteristic
323	#4027	C₂×C₄	1	1	yes	characteristic
324	#4027	C₂×C₄	1	1	yes	characteristic
325	#4027	C₂×C₄	1	1	yes	characteristic
326	#4027	C₂×C₄	1	1	yes	characteristic
327	#4024	C₂×C₄	1	1	yes	characteristic
328	#4024	C₂×C₄	1	1	yes	characteristic
329	#4024	C₂×C₄	1	1	yes	characteristic
330	#4024	C₂×C₄	1	1	yes	characteristic
331	#4024	C₂×C₄	1	1	yes	characteristic
332	#4024	C₂×C₄	1	1	yes	characteristic
333	#4024	C₂×C₄	1	1	yes	characteristic
334	#4024	C₂×C₄	1	1	yes	characteristic
335	C₄×D₂₀	C₂×C₄	1	1	yes	characteristic
336	C₄×D₂₀	C₂×C₄	1	1	yes	characteristic
337	#4018	C₂³	1	1	yes	characteristic
338	#4018	C₂³	1	1	yes	characteristic
339	#4018	C₂³	1	1	yes	characteristic
340	#4018	C₂³	1	1	yes	characteristic
341	#4018	C₂³	1	1	yes	characteristic
342	#4018	C₂³	1	1	yes	characteristic
343	C₄²×D₅	C₂³	1	1	yes	characteristic
344	C₄²×D₅	C₂³	1	1	yes	characteristic
345	C₄²×D₅	C₂³	1	1	yes	characteristic
346	C₄²×D₅	C₂³	1	1	yes	characteristic
347	C₄²×D₅	C₂³	1	1	yes	characteristic
348	C₄²×D₅	C₂³	1	1	yes	characteristic
349	C₄×Dic₁₀	C₂×C₄	1	1	yes	characteristic
350	C₄×Dic₁₀	C₂×C₄	1	1	yes	characteristic
351	C₄×Dic₁₀	C₂×C₄	1	1	yes	characteristic
352	C₄×Dic₁₀	C₂×C₄	1	1	yes	characteristic
353	C₄×Dic₁₀	C₂×C₄	1	1	yes	characteristic
354	C₄×Dic₁₀	C₂×C₄	1	1	yes	characteristic
355	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
356	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
357	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
358	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
359	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
360	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
361	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
362	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
363	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
364	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
365	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
366	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
367	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
368	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
369	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
370	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
371	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
372	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
373	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
374	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
375	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
376	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
377	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
378	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
379	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
380	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
381	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
382	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
383	C₅×#97	C₂³	1	1	yes	characteristic
384	C₅×#97	C₂³	1	1	yes	characteristic
385	C₅×#97	C₂³	1	1	yes	characteristic
386	C₅×#97	C₂³	1	1	yes	characteristic
387	C₅×#97	C₂³	1	1	yes	characteristic
388	C₅×#97	C₂³	1	1	yes	characteristic
389	C₅×#97	C₂³	1	1	yes	characteristic
390	C₅×#97	C₂³	1	1	yes	characteristic
391	C₄×C₅×C₈	C₂³	1	1	yes	characteristic
392	C₄×C₅×C₈	C₂³	1	1	yes	characteristic
393	C₄×C₅×C₈	C₂³	1	1	yes	characteristic
394	C₄×C₅×C₈	C₂³	1	1	yes	characteristic
395	C₂²⋊#168	C₂³	1	1	yes	characteristic
396	C₂²⋊#168	C₂³	1	1	yes	characteristic
397	C₂²⋊#168	C₂³	1	1	yes	characteristic
398	C₂²⋊#168	C₂³	1	1	yes	characteristic
399	#3952	C₂³	1	1	yes	characteristic
400	#3952	C₂³	1	1	yes	characteristic
401	#3952	C₂³	1	1	yes	characteristic
402	#3952	C₂³	1	1	yes	characteristic
403	#3952	C₂³	1	1	yes	characteristic
404	#3952	C₂³	1	1	yes	characteristic
405	#3952	C₂³	1	1	yes	characteristic
406	#3952	C₂³	1	1	yes	characteristic
407	#3947	C₂³	1	1	yes	characteristic
408	#3947	C₂³	1	1	yes	characteristic
409	#3947	C₂³	1	1	yes	characteristic
410	#3947	C₂³	1	1	yes	characteristic
411	#3947	C₂³	1	1	yes	characteristic
412	#3947	C₂³	1	1	yes	characteristic
413	#3947	C₂³	1	1	yes	characteristic
414	#3947	C₂³	1	1	yes	characteristic
415	#3947	C₂³	1	1	yes	characteristic
416	#3947	C₂³	1	1	yes	characteristic
417	#3947	C₂³	1	1	yes	characteristic
418	#3947	C₂³	1	1	yes	characteristic
419	#3946	C₂³	1	1	yes	characteristic
420	#3946	C₂³	1	1	yes	characteristic
421	#3946	C₂³	1	1	yes	characteristic
422	#3946	C₂³	1	1	yes	characteristic
423	#3946	C₂³	1	1	yes	characteristic
424	#3946	C₂³	1	1	yes	characteristic
425	#3946	C₂³	1	1	yes	characteristic
426	#3946	C₂³	1	1	yes	characteristic
427	#3946	C₂³	1	1	yes	characteristic
428	#3946	C₂³	1	1	yes	characteristic
429	#3946	C₂³	1	1	yes	characteristic
430	#3946	C₂³	1	1	yes	characteristic
431	#3946	C₂³	1	1	yes	characteristic
432	#3946	C₂³	1	1	yes	characteristic
433	#3946	C₂³	1	1	yes	characteristic
434	#3946	C₂³	1	1	yes	characteristic
435	#3946	C₂³	1	1	yes	characteristic
436	#3946	C₂³	1	1	yes	characteristic
437	#3946	C₂³	1	1	yes	characteristic
438	#3946	C₂³	1	1	yes	characteristic
439	#3946	C₂³	1	1	yes	characteristic
440	#3946	C₂³	1	1	yes	characteristic
441	#3946	C₂³	1	1	yes	characteristic
442	#3946	C₂³	1	1	yes	characteristic
443	C₈×Dic₅	C₂³	1	1	yes	characteristic
444	C₈×Dic₅	C₂³	1	1	yes	characteristic
445	C₈×Dic₅	C₂³	1	1	yes	characteristic
446	C₈×Dic₅	C₂³	1	1	yes	characteristic
447	C₈×Dic₅	C₂³	1	1	yes	characteristic
448	C₈×Dic₅	C₂³	1	1	yes	characteristic
449	C₈×Dic₅	C₂³	1	1	yes	characteristic
450	C₈×Dic₅	C₂³	1	1	yes	characteristic
451	C₈×Dic₅	C₂³	1	1	yes	characteristic
452	C₈×Dic₅	C₂³	1	1	yes	characteristic
453	C₈×Dic₅	C₂³	1	1	yes	characteristic
454	C₈×Dic₅	C₂³	1	1	yes	characteristic
455	C₄⋊#168	C₂³	1	1	yes	characteristic
456	C₄⋊#168	C₂³	1	1	yes	characteristic
457	C₄⋊#168	C₂³	1	1	yes	characteristic
458	C₄⋊#168	C₂³	1	1	yes	characteristic
459	C₄⋊#168	C₂³	1	1	yes	characteristic
460	C₄⋊#168	C₂³	1	1	yes	characteristic
461	C₄⋊#168	C₂³	1	1	yes	characteristic
462	C₄⋊#168	C₂³	1	1	yes	characteristic
463	C₄⋊#168	C₂³	1	1	yes	characteristic
464	C₄⋊#168	C₂³	1	1	yes	characteristic
465	C₄⋊#168	C₂³	1	1	yes	characteristic
466	C₄⋊#168	C₂³	1	1	yes	characteristic
467	#3935	C₂³	1	1	yes	characteristic
468	#3935	C₂³	1	1	yes	characteristic
469	#3935	C₂³	1	1	yes	characteristic
470	#3935	C₂³	1	1	yes	characteristic
471	#3935	C₂³	1	1	yes	characteristic
472	#3935	C₂³	1	1	yes	characteristic
473	C₄×#168	C₂³	1	1	yes	characteristic
474	C₄×#168	C₂³	1	1	yes	characteristic
475	C₄×#168	C₂³	1	1	yes	characteristic
476	C₄×#168	C₂³	1	1	yes	characteristic
477	C₄×#168	C₂³	1	1	yes	characteristic
478	C₄×#168	C₂³	1	1	yes	characteristic
479	Q₈×#41	—	5	1	no	—
480	#2987	—	5	1	no	—
481	#2987	—	5	1	no	—
482	#2987	—	5	1	no	—
483	#2987	D₅	1	1	yes	characteristic, complemented
484	#2986	—	5	1	no	—
485	#2986	—	5	1	no	—
486	#2985	—	5	1	no	—
487	#2985	—	5	1	no	—
488	#2985	—	5	1	no	—
489	#2985	—	5	1	no	—
490	#2985	—	5	1	no	—
491	#2985	—	5	1	no	—
492	#2984	—	5	1	no	—
493	#2984	—	5	1	no	—
494	#2983	—	5	1	no	—
495	#2983	—	5	1	no	—
496	Q₈×M₁₆	—	5	1	no	—
497	#2962	—	5	1	no	—
498	#2962	—	5	1	no	—
499	#2962	—	5	1	no	—
500	#2961	—	5	1	no	—
501	#2961	—	5	1	no	—
502	#2960	—	5	1	no	—
503	C₂×#446	—	5	1	no	—
504	#2925	—	5	1	no	—
505	#2925	—	5	1	no	—
506	#2925	—	5	1	no	—
507	#2923	—	5	1	no	—
508	#2923	—	5	1	no	—
509	#2922	—	5	1	no	—
510	C₂×C₅×Q₈	C₂²×C₄	1	1	yes	characteristic
511	C₂×C₅×Q₈	C₂²×C₄	1	1	yes	characteristic
512	C₂×C₅×Q₈	C₂²×C₄	1	1	yes	characteristic
513	C₂×C₅×Q₈	C₂²×C₄	1	1	yes	characteristic
514	C₂²×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
515	C₂²×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
516	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
517	C₂×C₂²⋊D₅	C₂²×C₄	1	1	yes	characteristic
518	C₂×C₂²⋊D₅	C₂²×C₄	1	1	yes	characteristic
519	C₂²×Dic₅	C₂²×C₄	1	1	yes	characteristic
520	C₂²×Dic₅	C₂²×C₄	1	1	yes	characteristic
521	C₂²×Dic₅	C₂²×C₄	1	1	yes	characteristic
522	C₂²×Dic₅	C₂²×C₄	1	1	yes	characteristic
523	Q₈×D₅	—	4	2	no	—
524	Q₈×D₅	—	4	2	no	—
525	#709	—	2	2	no	—
526	#709	—	2	2	no	—
527	C₂×D₂₀	C₂²×C₄	1	1	yes	characteristic
528	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
529	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
530	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
531	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
532	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
533	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
534	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
535	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
536	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
537	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
538	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
539	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
540	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
541	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
542	C₂×Dic₁₀	—	4	2	no	—
543	C₂×Dic₁₀	C₂²×C₄	1	1	yes	characteristic
544	C₂×Dic₁₀	C₂²×C₄	1	1	yes	characteristic
545	C₂×Dic₁₀	C₂²×C₄	1	1	yes	characteristic
546	C₂×Dic₁₀	C₂²×C₄	1	1	yes	characteristic
547	C₂×Dic₁₀	C₂²×C₄	1	1	yes	characteristic
548	C₂×Dic₁₀	C₂²×C₄	1	1	yes	characteristic
549	C₂×Dic₁₀	C₂²×C₄	1	1	yes	characteristic
550	C₂×Dic₁₀	C₂²×C₄	1	1	yes	characteristic
551	C₂×Dic₁₀	C₂²×C₄	1	1	yes	characteristic
552	C₂×Dic₁₀	C₂²×C₄	1	1	yes	characteristic
553	C₂×Dic₁₀	C₂²×C₄	1	1	yes	characteristic
554	C₂×Dic₁₀	C₂²×C₄	1	1	yes	characteristic
555	C₂×Dic₁₀	C₂²×C₄	1	1	yes	characteristic
556	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
557	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
558	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
559	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
560	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
561	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
562	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
563	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
564	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
565	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
566	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
567	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
568	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
569	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
570	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
571	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
572	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
573	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
574	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
575	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
576	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
577	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
578	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
579	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
580	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
581	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
582	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
583	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
584	C₄²×C₅	C₂²×C₄	1	1	yes	characteristic
585	C₄²×C₅	C₂²×C₄	1	1	yes	characteristic
586	C₄²×C₅	C₂⁴	1	1	yes	characteristic
587	C₄²×C₅	C₂⁴	1	1	yes	characteristic
588	C₄²×C₅	C₂⁴	1	1	yes	characteristic
589	C₄²×C₅	C₂⁴	1	1	yes	characteristic
590	C₄²×C₅	C₂⁴	1	1	yes	characteristic
591	C₄²×C₅	C₂⁴	1	1	yes	characteristic
592	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
593	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
594	#685	C₂²×C₄	1	1	yes	characteristic
595	#685	C₂²×C₄	1	1	yes	characteristic
596	#685	C₂²×C₄	1	1	yes	characteristic
597	#685	C₂²×C₄	1	1	yes	characteristic
598	#685	C₂²×C₄	1	1	yes	characteristic
599	#685	C₂²×C₄	1	1	yes	characteristic
600	#685	C₂²×C₄	1	1	yes	characteristic
601	#685	C₂²×C₄	1	1	yes	characteristic
602	#685	C₂²×C₄	1	1	yes	characteristic
603	#685	C₂²×C₄	1	1	yes	characteristic
604	#685	C₂²×C₄	1	1	yes	characteristic
605	#685	C₂²×C₄	1	1	yes	characteristic
606	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
607	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
608	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
609	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
610	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
611	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
612	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
613	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
614	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
615	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
616	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
617	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
618	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
619	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
620	#683	C₂²×C₄	1	1	yes	characteristic
621	#683	C₂²×C₄	1	1	yes	characteristic
622	#683	C₂²×C₄	1	1	yes	characteristic
623	#683	C₂²×C₄	1	1	yes	characteristic
624	#683	C₂²×C₄	1	1	yes	characteristic
625	#683	C₂²×C₄	1	1	yes	characteristic
626	#683	C₂²×C₄	1	1	yes	characteristic
627	#683	C₂²×C₄	1	1	yes	characteristic
628	#683	C₂²×C₄	1	1	yes	characteristic
629	#683	C₂²×C₄	1	1	yes	characteristic
630	#683	C₂²×C₄	1	1	yes	characteristic
631	#683	C₂²×C₄	1	1	yes	characteristic
632	#683	C₂²×C₄	1	1	yes	characteristic
633	#683	C₂²×C₄	1	1	yes	characteristic
634	#683	C₂²×C₄	1	1	yes	characteristic
635	#683	C₂²×C₄	1	1	yes	characteristic
636	#683	C₂²×C₄	1	1	yes	characteristic
637	#683	C₂²×C₄	1	1	yes	characteristic
638	#683	C₂²×C₄	1	1	yes	characteristic
639	#683	C₂²×C₄	1	1	yes	characteristic
640	#683	C₂²×C₄	1	1	yes	characteristic
641	#683	C₂²×C₄	1	1	yes	characteristic
642	#683	C₂²×C₄	1	1	yes	characteristic
643	#683	C₂²×C₄	1	1	yes	characteristic
644	#683	C₂²×C₄	1	1	yes	characteristic
645	#683	C₂²×C₄	1	1	yes	characteristic
646	#683	C₂²×C₄	1	1	yes	characteristic
647	#683	C₂²×C₄	1	1	yes	characteristic
648	#683	C₂²×C₄	1	1	yes	characteristic
649	#683	C₂²×C₄	1	1	yes	characteristic
650	#683	C₂²×C₄	1	1	yes	characteristic
651	#683	C₂²×C₄	1	1	yes	characteristic
652	#683	C₂²×C₄	1	1	yes	characteristic
653	#683	C₂²×C₄	1	1	yes	characteristic
654	#683	C₂²×C₄	1	1	yes	characteristic
655	#683	C₂²×C₄	1	1	yes	characteristic
656	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
657	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
658	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
659	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
660	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
661	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
662	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
663	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
664	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
665	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
666	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
667	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
668	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
669	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
670	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
671	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
672	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
673	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
674	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
675	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
676	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
677	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
678	C₂×#168	C₂⁴	1	1	yes	characteristic
679	C₂×#168	C₂⁴	1	1	yes	characteristic
680	C₂×#168	C₂⁴	1	1	yes	characteristic
681	C₂×#168	C₂⁴	1	1	yes	characteristic
682	C₂×#168	C₂⁴	1	1	yes	characteristic
683	C₂×#168	C₂⁴	1	1	yes	characteristic
684	C₂×#168	C₂⁴	1	1	yes	characteristic
685	C₂×#168	C₂⁴	1	1	yes	characteristic
686	#676	—	2	2	no	—
687	#676	—	2	2	no	—
688	#676	—	2	2	no	—
689	#676	—	2	2	no	—
690	C₈×D₅	—	2	2	no	—
691	C₈×D₅	—	2	2	no	—
692	C₈×D₅	—	2	2	no	—
693	C₈×D₅	—	2	2	no	—
694	Q₈²	—	5	1	no	—
695	#557	—	5	1	no	—
696	#557	—	5	1	no	—
697	#557	—	5	1	no	—
698	#554	—	5	1	no	—
699	#554	—	5	1	no	—
700	#554	—	5	1	no	—
701	#554	—	5	1	no	—
702	#554	—	5	1	no	—
703	#554	—	5	1	no	—
704	#554	—	5	1	no	—
705	#554	—	5	1	no	—
706	#554	—	5	1	no	—
707	D₄×Q₈	—	5	1	no	—
708	D₄×Q₈	—	5	1	no	—
709	D₄×Q₈	—	5	1	no	—
710	#533	—	5	1	no	—
711	#533	—	5	1	no	—
712	#533	—	5	1	no	—
713	#533	—	5	1	no	—
714	#533	—	5	1	no	—
715	#533	—	5	1	no	—
716	#533	—	5	1	no	—
717	#533	—	5	1	no	—
718	#533	C₂×D₅	1	1	yes	characteristic
719	C₄×#41	—	5	1	no	—
720	C₄×#41	—	5	1	no	—
721	C₄×#41	—	5	1	no	—
722	C₂×C₄×Q₈	—	5	1	no	—
723	C₂×C₄×Q₈	—	5	1	no	—
724	C₂×C₄×Q₈	—	5	1	no	—
725	#446	—	5	1	no	—
726	#446	—	5	1	no	—
727	#446	—	5	1	no	—
728	#446	—	5	1	no	—
729	#446	—	5	1	no	—
730	#446	—	5	1	no	—
731	#446	—	5	1	no	—
732	#446	—	5	1	no	—
733	#446	—	5	1	no	—
734	#446	—	5	1	no	—
735	#446	—	5	1	no	—
736	#446	—	5	1	no	—
737	#446	—	5	1	no	—
738	#446	—	5	1	no	—
739	#446	—	5	1	no	—
740	#446	—	5	1	no	—
741	#446	—	5	1	no	—
742	#446	—	5	1	no	—
743	#446	—	5	1	no	—
744	#446	—	5	1	no	—
745	#446	—	5	1	no	—
746	#446	—	5	1	no	—
747	#446	—	5	1	no	—
748	#446	—	5	1	no	—
749	#446	—	5	1	no	—
750	#446	—	5	1	no	—
751	#446	—	5	1	no	—
752	#446	—	5	1	no	—
753	#446	—	5	1	no	—
754	#446	—	5	1	no	—
755	#446	—	5	1	no	—
756	#446	—	5	1	no	—
757	#446	—	5	1	no	—
758	#446	—	5	1	no	—
759	#446	—	5	1	no	—
760	#446	—	5	1	no	—
761	#446	—	5	1	no	—
762	#446	—	5	1	no	—
763	#446	—	5	1	no	—
764	#446	—	5	1	no	—
765	#446	—	5	1	no	—
766	#446	—	5	1	no	—
767	#446	—	5	1	no	—
768	#446	—	5	1	no	—
769	#446	C₂×D₅	1	1	yes	characteristic
770	#446	C₂×D₅	1	1	yes	characteristic
771	#446	C₂×D₅	1	1	yes	characteristic
772	#446	C₂×D₅	1	1	yes	characteristic
773	#446	C₂×D₅	1	1	yes	characteristic
774	#446	C₂×D₅	1	1	yes	characteristic
775	#446	C₂×D₅	1	1	yes	characteristic
776	#446	C₂×D₅	1	1	yes	characteristic
777	C₈×Q₈	—	5	1	no	—
778	C₈×Q₈	—	5	1	no	—
779	C₈×Q₈	—	5	1	no	—
780	C₈×Q₈	—	5	1	no	—
781	C₈×Q₈	—	5	1	no	—
782	C₈×Q₈	—	5	1	no	—
783	C₈×Q₈	—	5	1	no	—
784	C₈×Q₈	—	5	1	no	—
785	C₈×Q₈	—	5	1	no	—
786	C₈×Q₈	—	5	1	no	—
787	C₈×Q₈	—	5	1	no	—
788	C₈×Q₈	—	5	1	no	—
789	#433	—	5	1	no	—
790	#433	—	5	1	no	—
791	#433	—	5	1	no	—
792	#433	—	5	1	no	—
793	#433	—	5	1	no	—
794	#433	—	5	1	no	—
795	#433	—	5	1	no	—
796	#433	—	5	1	no	—
797	#433	—	5	1	no	—
798	#433	—	5	1	no	—
799	#433	—	5	1	no	—
800	#433	—	5	1	no	—
801	#433	—	5	1	no	—
802	#433	—	5	1	no	—
803	#433	—	5	1	no	—
804	#433	—	5	1	no	—
805	#433	—	5	1	no	—
806	#433	—	5	1	no	—
807	#433	—	5	1	no	—
808	#433	—	5	1	no	—
809	#433	C₂×D₅	1	1	yes	characteristic
810	#433	C₂×D₅	1	1	yes	characteristic
811	#433	C₂×D₅	1	1	yes	characteristic
812	#433	C₂×D₅	1	1	yes	characteristic
813	#432	—	5	1	no	—
814	#432	—	5	1	no	—
815	#432	—	5	1	no	—
816	#432	—	5	1	no	—
817	#432	—	5	1	no	—
818	#432	—	5	1	no	—
819	#432	—	5	1	no	—
820	#432	—	5	1	no	—
821	#432	—	5	1	no	—
822	#432	—	5	1	no	—
823	#432	—	5	1	no	—
824	#432	—	5	1	no	—
825	#432	C₂×D₅	1	1	yes	characteristic
826	#432	C₂×D₅	1	1	yes	characteristic
827	#431	—	5	1	no	—
828	#431	—	5	1	no	—
829	#431	—	5	1	no	—
830	#431	—	5	1	no	—
831	#431	—	5	1	no	—
832	#431	—	5	1	no	—
833	#431	—	5	1	no	—
834	#431	—	5	1	no	—
835	#431	—	5	1	no	—
836	#431	—	5	1	no	—
837	#424	—	5	1	no	—
838	#424	—	5	1	no	—
839	#424	—	5	1	no	—
840	#424	—	5	1	no	—
841	#424	—	5	1	no	—
842	#424	—	5	1	no	—
843	#423	—	5	1	no	—
844	#423	—	5	1	no	—
845	#423	—	5	1	no	—
846	C₂×C₄⋊C₈	—	5	1	no	—
847	C₂×C₄⋊C₈	—	5	1	no	—
848	C₂×C₄⋊C₈	—	5	1	no	—
849	#408	—	5	1	no	—
850	#408	—	5	1	no	—
851	#408	—	5	1	no	—
852	#408	—	5	1	no	—
853	#405	—	5	1	no	—
854	#405	—	5	1	no	—
855	#405	—	5	1	no	—
856	#405	—	5	1	no	—
857	#405	—	5	1	no	—
858	#405	—	5	1	no	—
859	C₄×M₁₆	—	5	1	no	—
860	C₄×M₁₆	—	5	1	no	—
861	C₄×M₁₆	—	5	1	no	—
862	C₂×#97	—	5	1	no	—
863	C₂×#97	—	5	1	no	—
864	C₂×C₄×C₈	—	5	1	no	—
865	C₂³×C₅	C₂³×C₄	1	1	yes	characteristic
866	C₂²×D₅	C₂³×C₄	1	1	yes	characteristic
867	C₂²×D₅	C₂³×C₄	1	1	yes	characteristic
868	C₅×Q₈	—	4	1	no	—
869	C₅×Q₈	—	4	1	no	—
870	C₅×Q₈	—	4	1	no	—
871	C₅×Q₈	—	4	1	no	—
872	C₂×C₄×C₅	—	2	1	no	—
873	C₂×C₄×C₅	—	2	1	no	—
874	C₂×C₄×C₅	—	4	1	no	—
875	C₂×C₄×C₅	—	4	1	no	—
876	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
877	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
878	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
879	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
880	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
881	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
882	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
883	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
884	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
885	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
886	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
887	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
888	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
889	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
890	C₂²⋊D₅	—	2	2	no	—
891	C₂²⋊D₅	—	2	2	no	—
892	C₂×Dic₅	—	2	2	no	—
893	C₂×Dic₅	—	4	1	no	—
894	C₂×Dic₅	—	4	1	no	—
895	C₂×Dic₅	—	4	1	no	—
896	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
897	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
898	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
899	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
900	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
901	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
902	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
903	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
904	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
905	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
906	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
907	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
908	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
909	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
910	D₂₀	—	2	2	no	—
911	C₄×D₅	—	2	1	no	—
912	C₄×D₅	—	2	1	no	—
913	C₄×D₅	—	2	2	no	—
914	C₄×D₅	—	2	2	no	—
915	C₄×D₅	—	4	1	no	—
916	C₄×D₅	—	4	1	no	—
917	C₄×D₅	—	4	1	no	—
918	C₄×D₅	—	4	1	no	—
919	C₄×D₅	—	4	1	no	—
920	C₄×D₅	—	4	1	no	—
921	C₄×D₅	—	4	1	no	—
922	C₄×D₅	—	4	1	no	—
923	C₄×D₅	—	4	1	no	—
924	C₄×D₅	—	4	1	no	—
925	C₄×D₅	2₋¹⁺⁴	1	2	yes	—
926	C₄×D₅	2₋¹⁺⁴	1	2	yes	—
927	Dic₁₀	—	2	2	no	—
928	Dic₁₀	—	2	2	no	—
929	Dic₁₀	—	2	2	no	—
930	Dic₁₀	—	2	2	no	—
931	Dic₁₀	—	2	2	no	—
932	Dic₁₀	—	4	1	no	—
933	Dic₁₀	—	4	1	no	—
934	Dic₁₀	—	4	1	no	—
935	Dic₁₀	—	4	1	no	—
936	Dic₁₀	—	4	1	no	—
937	Dic₁₀	—	4	1	no	—
938	Dic₁₀	—	4	1	no	—
939	Dic₁₀	—	4	1	no	—
940	C₅×C₈	—	2	1	no	—
941	C₅×C₈	—	2	1	no	—
942	C₅×C₈	—	2	1	no	—
943	C₅×C₈	—	2	1	no	—
944	C₅×C₈	—	2	1	no	—
945	C₅×C₈	—	2	1	no	—
946	C₅×C₈	—	2	1	no	—
947	C₅×C₈	—	2	1	no	—
948	#168	—	2	1	no	—
949	#168	—	2	1	no	—
950	#168	—	2	1	no	—
951	#168	—	2	1	no	—
952	#168	—	2	1	no	—
953	#168	—	2	1	no	—
954	#168	—	2	1	no	—
955	#168	—	2	1	no	—
956	C₂×#41	—	5	1	no	—
957	C₂²×Q₈	—	5	1	no	—
958	C₂²×Q₈	—	5	1	no	—
959	C₂²×Q₈	—	5	1	no	—
960	C₂×M₁₆	—	5	1	no	—
961	C₂×M₁₆	—	5	1	no	—
962	C₂×M₁₆	—	5	1	no	—
963	C₂×M₁₆	—	5	1	no	—
964	C₂²×C₈	—	5	1	no	—
965	C₂²×C₈	—	5	1	no	—
966	C₂²×C₈	—	5	1	no	—
967	C₂²×C₈	—	5	1	no	—
968	C₄⋊Q₈	—	5	1	no	—
969	C₄⋊Q₈	—	5	1	no	—
970	C₄⋊Q₈	—	5	1	no	—
971	C₄⋊Q₈	—	5	1	no	—
972	C₄⋊Q₈	—	5	1	no	—
973	C₄⋊Q₈	—	5	1	no	—
974	C₄⋊Q₈	—	5	1	no	—
975	C₄⋊Q₈	—	5	1	no	—
976	C₄⋊Q₈	—	5	1	no	—
977	C₄⋊Q₈	—	5	1	no	—
978	C₄⋊Q₈	—	5	1	no	—
979	C₄⋊Q₈	—	5	1	no	—
980	C₄⋊Q₈	—	5	1	no	—
981	C₄⋊Q₈	—	5	1	no	—
982	C₄⋊Q₈	—	5	1	no	—
983	C₄⋊Q₈	—	5	1	no	—
984	C₄⋊Q₈	C₄×D₅	1	1	yes	characteristic
985	C₄⋊Q₈	C₄×D₅	1	1	yes	characteristic
986	#125	—	5	1	no	—
987	#125	—	5	1	no	—
988	#125	—	5	1	no	—
989	#125	—	5	1	no	—
990	#125	—	5	1	no	—
991	#125	—	5	1	no	—
992	#125	—	5	1	no	—
993	#125	—	5	1	no	—
994	#125	—	5	1	no	—
995	#125	—	5	1	no	—
996	#125	—	5	1	no	—
997	#125	—	5	1	no	—
998	#125	—	5	1	no	—
999	#125	—	5	1	no	—
1000	#125	—	5	1	no	—
1001	#125	—	5	1	no	—
1002	#125	C₄×D₅	1	1	yes	characteristic
1003	#125	C₄×D₅	1	1	yes	characteristic
1004	C₂²⋊Q₈	—	5	1	no	—
1005	C₂²⋊Q₈	—	5	1	no	—
1006	C₂²⋊Q₈	—	5	1	no	—
1007	C₂²⋊Q₈	—	5	1	no	—
1008	C₂²⋊Q₈	—	5	1	no	—
1009	C₂²⋊Q₈	—	5	1	no	—
1010	C₂²⋊Q₈	—	5	1	no	—
1011	C₂²⋊Q₈	—	5	1	no	—
1012	C₂²⋊Q₈	—	5	1	no	—
1013	C₂²⋊Q₈	—	5	1	no	—
1014	C₂²⋊Q₈	—	5	1	no	—
1015	C₂²⋊Q₈	—	5	1	no	—
1016	C₂²⋊Q₈	—	5	1	no	—
1017	C₂²⋊Q₈	—	5	1	no	—
1018	C₂²⋊Q₈	—	5	1	no	—
1019	C₂²⋊Q₈	—	5	1	no	—
1020	C₂²⋊Q₈	—	5	1	no	—
1021	C₂²⋊Q₈	—	5	1	no	—
1022	C₂²⋊Q₈	—	5	1	no	—
1023	C₂²⋊Q₈	—	5	1	no	—
1024	C₂²⋊Q₈	—	5	1	no	—
1025	C₂²⋊Q₈	—	5	1	no	—
1026	C₂²⋊Q₈	—	5	1	no	—
1027	C₂²⋊Q₈	—	5	1	no	—
1028	C₂²⋊Q₈	—	5	1	no	—
1029	C₂²⋊Q₈	—	5	1	no	—
1030	C₂²⋊Q₈	—	5	1	no	—
1031	C₂²⋊Q₈	—	5	1	no	—
1032	C₂²⋊Q₈	—	5	1	no	—
1033	C₂²⋊Q₈	—	5	1	no	—
1034	C₂²⋊Q₈	—	5	1	no	—
1035	C₂²⋊Q₈	—	5	1	no	—
1036	C₂²⋊Q₈	C₄×D₅	1	1	yes	characteristic
1037	C₂²⋊Q₈	C₄×D₅	1	1	yes	characteristic
1038	C₂²⋊Q₈	C₄×D₅	1	1	yes	characteristic
1039	C₂²⋊Q₈	C₄×D₅	1	1	yes	characteristic
1040	C₄×Q₈	—	5	1	no	—
1041	C₄×Q₈	—	5	1	no	—
1042	C₄×Q₈	—	5	1	no	—
1043	C₄×Q₈	—	5	1	no	—
1044	C₄×Q₈	—	5	1	no	—
1045	C₄×Q₈	—	5	1	no	—
1046	C₄×Q₈	—	5	1	no	—
1047	C₄×Q₈	—	5	1	no	—
1048	C₄×Q₈	—	5	1	no	—
1049	C₄×Q₈	—	5	1	no	—
1050	C₄×Q₈	—	5	1	no	—
1051	C₄×Q₈	—	5	1	no	—
1052	C₄×Q₈	—	5	1	no	—
1053	C₄×Q₈	—	5	1	no	—
1054	C₄×Q₈	—	5	1	no	—
1055	C₄×Q₈	—	5	1	no	—
1056	C₄×Q₈	—	5	1	no	—
1057	C₄×Q₈	—	5	1	no	—
1058	C₄×Q₈	—	5	1	no	—
1059	C₄×Q₈	—	5	1	no	—
1060	C₄×Q₈	—	5	1	no	—
1061	C₄×Q₈	—	5	1	no	—
1062	C₄×Q₈	—	5	1	no	—
1063	C₄×Q₈	—	5	1	no	—
1064	C₄×Q₈	—	5	1	no	—
1065	C₄×Q₈	—	5	1	no	—
1066	C₄×Q₈	—	5	1	no	—
1067	C₄×Q₈	—	5	1	no	—
1068	C₄×Q₈	—	5	1	no	—
1069	C₄×Q₈	—	5	1	no	—
1070	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1071	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1072	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1073	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1074	C₄×D₄	—	5	1	no	—
1075	C₄×D₄	—	5	1	no	—
1076	C₄×D₄	—	5	1	no	—
1077	C₄×D₄	—	5	1	no	—
1078	C₄×D₄	—	5	1	no	—
1079	C₄×D₄	—	5	1	no	—
1080	C₄×D₄	—	5	1	no	—
1081	C₄×D₄	—	5	1	no	—
1082	C₄×D₄	—	5	1	no	—
1083	C₄×D₄	—	5	1	no	—
1084	C₄×D₄	—	5	1	no	—
1085	C₄×D₄	—	5	1	no	—
1086	C₄×D₄	—	5	1	no	—
1087	C₄×D₄	—	5	1	no	—
1088	C₄×D₄	—	5	1	no	—
1089	C₄×D₄	—	5	1	no	—
1090	C₄×D₄	—	5	1	no	—
1091	C₄×D₄	—	5	1	no	—
1092	#117	—	5	1	no	—
1093	#117	—	5	1	no	—
1094	#117	—	5	1	no	—
1095	#117	—	5	1	no	—
1096	#117	—	5	1	no	—
1097	#117	—	5	1	no	—
1098	#117	—	5	1	no	—
1099	#117	C₂²×D₅	1	1	yes	characteristic
1100	#117	C₂²×D₅	1	1	yes	characteristic
1101	C₂×C₄⋊C₄	—	5	1	no	—
1102	C₂×C₄⋊C₄	—	5	1	no	—
1103	C₂×C₄⋊C₄	—	5	1	no	—
1104	C₂×C₄⋊C₄	—	5	1	no	—
1105	C₂×C₄⋊C₄	—	5	1	no	—
1106	C₂×C₄⋊C₄	—	5	1	no	—
1107	C₂×C₄⋊C₄	—	5	1	no	—
1108	C₂×C₄⋊C₄	—	5	1	no	—
1109	C₂×C₄⋊C₄	—	5	1	no	—
1110	C₂×C₄²	—	5	1	no	—
1111	C₂×C₄²	—	5	1	no	—
1112	C₂×C₄²	—	5	1	no	—
1113	C₂×C₄²	—	5	1	no	—
1114	C₂×C₄²	—	5	1	no	—
1115	C₂×C₄²	—	5	1	no	—
1116	C₂×C₄²	—	5	1	no	—
1117	C₂×C₄²	—	5	1	no	—
1118	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
1119	C₄⋊C₈	—	5	1	no	—
1120	C₄⋊C₈	—	5	1	no	—
1121	C₄⋊C₈	—	5	1	no	—
1122	C₄⋊C₈	—	5	1	no	—
1123	C₄⋊C₈	—	5	1	no	—
1124	C₄⋊C₈	—	5	1	no	—
1125	C₄⋊C₈	—	5	1	no	—
1126	C₄⋊C₈	—	5	1	no	—
1127	C₄⋊C₈	—	5	1	no	—
1128	C₄⋊C₈	—	5	1	no	—
1129	C₄⋊C₈	—	5	1	no	—
1130	C₄⋊C₈	—	5	1	no	—
1131	C₄⋊C₈	—	5	1	no	—
1132	C₄⋊C₈	—	5	1	no	—
1133	C₄⋊C₈	—	5	1	no	—
1134	C₄⋊C₈	—	5	1	no	—
1135	C₄⋊C₈	—	5	1	no	—
1136	C₄⋊C₈	—	5	1	no	—
1137	C₄⋊C₈	—	5	1	no	—
1138	C₄⋊C₈	—	5	1	no	—
1139	C₄⋊C₈	—	5	1	no	—
1140	C₄⋊C₈	—	5	1	no	—
1141	C₄⋊C₈	—	5	1	no	—
1142	C₄⋊C₈	—	5	1	no	—
1143	C₄⋊C₈	—	5	1	no	—
1144	C₄⋊C₈	—	5	1	no	—
1145	C₄⋊C₈	—	5	1	no	—
1146	C₄⋊C₈	—	5	1	no	—
1147	C₄⋊C₈	—	5	1	no	—
1148	C₄⋊C₈	—	5	1	no	—
1149	C₄⋊C₈	—	5	1	no	—
1150	C₄⋊C₈	—	5	1	no	—
1151	C₄⋊C₈	—	5	1	no	—
1152	C₄⋊C₈	—	5	1	no	—
1153	C₄⋊C₈	—	5	1	no	—
1154	C₄⋊C₈	—	5	1	no	—
1155	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1156	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1157	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1158	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1159	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1160	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1161	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1162	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1163	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1164	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1165	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1166	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1167	C₂²⋊C₈	—	5	1	no	—
1168	C₂²⋊C₈	—	5	1	no	—
1169	C₂²⋊C₈	—	5	1	no	—
1170	C₂²⋊C₈	—	5	1	no	—
1171	C₂²⋊C₈	—	5	1	no	—
1172	C₂²⋊C₈	—	5	1	no	—
1173	C₂²⋊C₈	—	5	1	no	—
1174	C₂²⋊C₈	—	5	1	no	—
1175	C₂²⋊C₈	—	5	1	no	—
1176	C₂²⋊C₈	—	5	1	no	—
1177	C₂²⋊C₈	—	5	1	no	—
1178	C₂²⋊C₈	—	5	1	no	—
1179	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1180	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1181	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1182	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1183	#97	—	5	1	no	—
1184	#97	—	5	1	no	—
1185	#97	—	5	1	no	—
1186	#97	—	5	1	no	—
1187	#97	—	5	1	no	—
1188	#97	—	5	1	no	—
1189	#97	—	5	1	no	—
1190	#97	—	5	1	no	—
1191	#97	—	5	1	no	—
1192	#97	—	5	1	no	—
1193	#97	—	5	1	no	—
1194	#97	—	5	1	no	—
1195	#97	—	5	1	no	—
1196	#97	—	5	1	no	—
1197	#97	—	5	1	no	—
1198	#97	—	5	1	no	—
1199	#97	—	5	1	no	—
1200	#97	—	5	1	no	—
1201	#97	C₂²×D₅	1	1	yes	characteristic
1202	#97	C₂²×D₅	1	1	yes	characteristic
1203	#97	C₂²×D₅	1	1	yes	characteristic
1204	#97	C₂²×D₅	1	1	yes	characteristic
1205	#97	C₂²×D₅	1	1	yes	characteristic
1206	#97	C₂²×D₅	1	1	yes	characteristic
1207	#97	C₂²×D₅	1	1	yes	characteristic
1208	#97	C₂²×D₅	1	1	yes	characteristic
1209	C₄×C₈	—	5	1	no	—
1210	C₄×C₈	—	5	1	no	—
1211	C₄×C₈	—	5	1	no	—
1212	C₄×C₈	—	5	1	no	—
1213	C₄×C₈	—	5	1	no	—
1214	C₄×C₈	—	5	1	no	—
1215	C₄×C₈	—	5	1	no	—
1216	C₄×C₈	—	5	1	no	—
1217	C₄×C₈	—	5	1	no	—
1218	C₄×C₈	—	5	1	no	—
1219	C₄×C₈	—	5	1	no	—
1220	C₄×C₈	—	5	1	no	—
1221	C₄×C₈	—	5	1	no	—
1222	C₄×C₈	—	5	1	no	—
1223	C₄×C₈	—	5	1	no	—
1224	C₄×C₈	—	5	1	no	—
1225	C₄×C₈	—	5	1	no	—
1226	C₄×C₈	—	5	1	no	—
1227	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
1228	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
1229	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
1230	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
1231	C₂²×C₅	—	2	1	no	—
1232	C₂²×C₅	—	2	1	no	—
1233	C₂²×C₅	—	2	1	no	—
1234	C₂²×C₅	C₂⁴×C₄	1	1	yes	characteristic
1235	C₂×D₅	—	2	1	no	—
1236	C₂×D₅	—	2	1	no	—
1237	C₂×D₅	—	2	1	no	—
1238	C₂×D₅	—	2	1	no	—
1239	C₂×D₅	—	2	1	no	—
1240	C₂×D₅	#519	1	2	yes	—
1241	C₄×C₅	—	2	1	no	—
1242	C₄×C₅	—	2	1	no	—
1243	C₄×C₅	—	2	1	no	—
1244	C₄×C₅	—	2	1	no	—
1245	C₄×C₅	—	2	1	no	—
1246	C₄×C₅	—	2	1	no	—
1247	C₄×C₅	—	2	1	no	—
1248	C₄×C₅	—	2	1	no	—
1249	C₄×C₅	—	2	1	no	—
1250	C₄×C₅	—	2	1	no	—
1251	C₄×C₅	—	2	1	no	—
1252	C₄×C₅	—	2	1	no	—
1253	C₄×C₅	—	2	1	no	—
1254	C₄×C₅	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1255	C₄×C₅	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1256	Dic₅	—	2	1	no	—
1257	Dic₅	—	2	1	no	—
1258	Dic₅	—	2	1	no	—
1259	Dic₅	—	2	1	no	—
1260	Dic₅	—	2	1	no	—
1261	Dic₅	—	2	1	no	—
1262	Dic₅	—	2	1	no	—
1263	Dic₅	—	2	1	no	—
1264	Dic₅	—	2	1	no	—
1265	Dic₅	—	2	1	no	—
1266	Dic₅	—	2	1	no	—
1267	Dic₅	—	2	1	no	—
1268	Dic₅	#519	1	2	yes	—
1269	Dic₅	#568	1	2	yes	—
1270	#41	—	10	2	no	—
1271	#41	—	10	2	no	—
1272	C₂×Q₈	—	5	1	no	—
1273	C₂×Q₈	—	5	1	no	—
1274	C₂×Q₈	—	5	1	no	—
1275	C₂×Q₈	—	5	1	no	—
1276	C₂×Q₈	—	5	1	no	—
1277	C₂×Q₈	—	5	1	no	—
1278	C₂×Q₈	—	5	1	no	—
1279	C₂×Q₈	—	5	1	no	—
1280	C₂×Q₈	—	5	1	no	—
1281	C₂×Q₈	—	5	1	no	—
1282	C₂×Q₈	—	5	1	no	—
1283	C₂×Q₈	—	5	1	no	—
1284	C₂×Q₈	—	5	1	no	—
1285	C₂×Q₈	—	20	2	no	—
1286	C₂×Q₈	—	20	2	no	—
1287	C₂×Q₈	—	20	2	no	—
1288	C₂×Q₈	C₂×C₄×D₅	1	1	yes	characteristic
1289	C₂×Q₈	C₂×C₄×D₅	1	1	yes	characteristic
1290	C₂×Q₈	C₂×C₄×D₅	1	1	yes	characteristic
1291	C₂×Q₈	C₂×C₄×D₅	1	1	yes	characteristic
1292	C₂×D₄	—	5	1	no	—
1293	C₂×D₄	—	5	1	no	—
1294	C₂×D₄	—	5	1	no	—
1295	C₂²×C₄	—	5	1	no	—
1296	C₂²×C₄	—	5	1	no	—
1297	C₂²×C₄	—	5	1	no	—
1298	C₂²×C₄	—	5	1	no	—
1299	C₂²×C₄	—	5	1	no	—
1300	C₂²×C₄	—	5	1	no	—
1301	C₂²×C₄	—	5	1	no	—
1302	C₂²×C₄	—	5	1	no	—
1303	C₂²×C₄	—	5	1	no	—
1304	C₂²×C₄	—	5	1	no	—
1305	C₂²×C₄	—	5	1	no	—
1306	C₂²×C₄	—	5	1	no	—
1307	C₂²×C₄	—	5	1	no	—
1308	C₂²×C₄	—	5	1	no	—
1309	C₂²×C₄	—	5	1	no	—
1310	C₂²×C₄	—	5	1	no	—
1311	C₂²×C₄	—	5	1	no	—
1312	C₂²×C₄	—	5	1	no	—
1313	C₂²×C₄	C₂×C₄×D₅	1	1	yes	characteristic
1314	C₂²×C₄	C₂×C₄×D₅	1	1	yes	characteristic
1315	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1316	M₁₆	—	10	2	no	—
1317	M₁₆	—	10	2	no	—
1318	M₁₆	—	10	2	no	—
1319	M₁₆	—	10	2	no	—
1320	C₂×C₈	—	5	1	no	—
1321	C₂×C₈	—	5	1	no	—
1322	C₂×C₈	—	5	1	no	—
1323	C₂×C₈	—	5	1	no	—
1324	C₂×C₈	—	5	1	no	—
1325	C₂×C₈	—	5	1	no	—
1326	C₂×C₈	—	5	1	no	—
1327	C₂×C₈	—	5	1	no	—
1328	C₂×C₈	—	10	2	no	—
1329	C₂×C₈	—	10	2	no	—
1330	C₂×C₈	—	10	2	no	—
1331	C₂×C₈	—	10	2	no	—
1332	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1333	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1334	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1335	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1336	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1337	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1338	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1339	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1340	C₄⋊C₄	—	5	1	no	—
1341	C₄⋊C₄	—	5	1	no	—
1342	C₄⋊C₄	—	5	1	no	—
1343	C₄⋊C₄	—	5	1	no	—
1344	C₄⋊C₄	—	5	1	no	—
1345	C₄⋊C₄	—	5	1	no	—
1346	C₄⋊C₄	—	5	1	no	—
1347	C₄⋊C₄	—	5	1	no	—
1348	C₄⋊C₄	—	5	1	no	—
1349	C₄⋊C₄	—	5	1	no	—
1350	C₄⋊C₄	—	5	1	no	—
1351	C₄⋊C₄	—	5	1	no	—
1352	C₄⋊C₄	—	5	1	no	—
1353	C₄⋊C₄	—	5	1	no	—
1354	C₄⋊C₄	—	5	1	no	—
1355	C₄⋊C₄	—	5	1	no	—
1356	C₄⋊C₄	—	5	1	no	—
1357	C₄⋊C₄	—	5	1	no	—
1358	C₄⋊C₄	—	5	1	no	—
1359	C₄⋊C₄	—	5	1	no	—
1360	C₄⋊C₄	—	5	1	no	—
1361	C₄⋊C₄	—	5	1	no	—
1362	C₄⋊C₄	—	5	1	no	—
1363	C₄⋊C₄	—	5	1	no	—
1364	C₄⋊C₄	—	5	1	no	—
1365	C₄⋊C₄	—	5	1	no	—
1366	C₄⋊C₄	—	5	1	no	—
1367	C₄⋊C₄	—	5	1	no	—
1368	C₄⋊C₄	—	5	1	no	—
1369	C₄⋊C₄	—	5	1	no	—
1370	C₄⋊C₄	—	5	1	no	—
1371	C₄⋊C₄	—	5	1	no	—
1372	C₄⋊C₄	—	5	1	no	—
1373	C₄⋊C₄	—	5	1	no	—
1374	C₄⋊C₄	—	5	1	no	—
1375	C₄⋊C₄	—	5	1	no	—
1376	C₄⋊C₄	—	5	1	no	—
1377	C₄⋊C₄	—	5	1	no	—
1378	C₄⋊C₄	—	5	1	no	—
1379	C₄⋊C₄	—	5	1	no	—
1380	C₄⋊C₄	—	5	1	no	—
1381	C₄⋊C₄	—	5	1	no	—
1382	C₄⋊C₄	—	5	1	no	—
1383	C₄⋊C₄	—	5	1	no	—
1384	C₄⋊C₄	—	5	1	no	—
1385	C₄⋊C₄	—	5	1	no	—
1386	C₄⋊C₄	—	5	1	no	—
1387	C₄⋊C₄	—	5	1	no	—
1388	C₄⋊C₄	—	5	1	no	—
1389	C₄⋊C₄	—	5	1	no	—
1390	C₄⋊C₄	C₂×C₄×D₅	1	1	yes	characteristic
1391	C₄⋊C₄	C₂×C₄×D₅	1	1	yes	characteristic
1392	C₄⋊C₄	C₂×C₄×D₅	1	1	yes	characteristic
1393	C₄⋊C₄	C₂×C₄×D₅	1	1	yes	characteristic
1394	C₄⋊C₄	C₂×C₄×D₅	1	1	yes	characteristic
1395	C₄⋊C₄	C₂×C₄×D₅	1	1	yes	characteristic
1396	C₄⋊C₄	C₂×C₄×D₅	1	1	yes	characteristic
1397	C₄⋊C₄	C₂×C₄×D₅	1	1	yes	characteristic
1398	C₄⋊C₄	C₂×C₄×D₅	1	1	yes	characteristic
1399	C₄⋊C₄	C₂×C₄×D₅	1	1	yes	characteristic
1400	C₄⋊C₄	C₂×C₄×D₅	1	1	yes	characteristic
1401	C₄⋊C₄	C₂×C₄×D₅	1	1	yes	characteristic
1402	C₄⋊C₄	C₂×C₄×D₅	1	1	yes	characteristic
1403	C₄⋊C₄	C₂×C₄×D₅	1	1	yes	characteristic
1404	C₄⋊C₄	C₂×C₄×D₅	1	1	yes	characteristic
1405	C₄⋊C₄	C₂×C₄×D₅	1	1	yes	characteristic
1406	C₂²⋊C₄	—	5	1	no	—
1407	C₂²⋊C₄	—	5	1	no	—
1408	C₂²⋊C₄	—	5	1	no	—
1409	C₂²⋊C₄	—	5	1	no	—
1410	C₂²⋊C₄	—	5	1	no	—
1411	C₂²⋊C₄	—	5	1	no	—
1412	C₂²⋊C₄	—	5	1	no	—
1413	C₂²⋊C₄	—	5	1	no	—
1414	C₂²⋊C₄	—	5	1	no	—
1415	C₂²⋊C₄	—	5	1	no	—
1416	C₂²⋊C₄	—	5	1	no	—
1417	C₂²⋊C₄	—	5	1	no	—
1418	C₂²⋊C₄	—	5	1	no	—
1419	C₂²⋊C₄	—	5	1	no	—
1420	C₂²⋊C₄	C₂×C₄×D₅	1	1	yes	characteristic
1421	C₂²⋊C₄	C₂×C₄×D₅	1	1	yes	characteristic
1422	C₂²⋊C₄	C₂×C₄×D₅	1	1	yes	characteristic
1423	C₂²⋊C₄	C₂×C₄×D₅	1	1	yes	characteristic
1424	C₄²	—	5	1	no	—
1425	C₄²	—	5	1	no	—
1426	C₄²	—	5	1	no	—
1427	C₄²	—	5	1	no	—
1428	C₄²	—	5	1	no	—
1429	C₄²	—	5	1	no	—
1430	C₄²	—	5	1	no	—
1431	C₄²	—	5	1	no	—
1432	C₄²	—	5	1	no	—
1433	C₄²	—	5	1	no	—
1434	C₄²	—	5	1	no	—
1435	C₄²	—	5	1	no	—
1436	C₄²	—	5	1	no	—
1437	C₄²	—	5	1	no	—
1438	C₄²	—	5	1	no	—
1439	C₄²	—	5	1	no	—
1440	C₄²	—	5	1	no	—
1441	C₄²	—	5	1	no	—
1442	C₄²	—	5	1	no	—
1443	C₄²	—	5	1	no	—
1444	C₄²	—	5	1	no	—
1445	C₄²	—	5	1	no	—
1446	C₄²	C₂×C₄×D₅	1	1	yes	characteristic
1447	C₄²	C₂×C₄×D₅	1	1	yes	characteristic
1448	C₄²	C₂³×D₅	1	1	yes	characteristic
1449	C₄²	C₂³×D₅	1	1	yes	characteristic
1450	C₄²	C₂³×D₅	1	1	yes	characteristic
1451	C₄²	C₂³×D₅	1	1	yes	characteristic
1452	C₄²	C₂³×D₅	1	1	yes	characteristic
1453	C₄²	C₂³×D₅	1	1	yes	characteristic
1454	C₂×C₅	—	4	1	no	—
1455	C₂×C₅	C₂×#519	1	1	yes	characteristic
1456	C₂×C₅	C₂×#568	1	1	yes	characteristic
1457	C₂×C₅	#3573	1	1	yes	characteristic
1458	D₅	—	2	2	no	—
1459	D₅	—	4	1	no	—
1460	C₂³	—	5	1	no	—
1461	C₂³	—	5	1	no	—
1462	C₂³	C₂²×C₄×D₅	1	1	yes	characteristic
1463	Q₈	—	4	1	no	—
1464	Q₈	—	4	1	no	—
1465	Q₈	—	4	1	no	—
1466	Q₈	—	4	1	no	—
1467	Q₈	—	10	2	no	—
1468	Q₈	—	10	2	no	—
1469	Q₈	—	10	2	no	—
1470	Q₈	—	10	2	no	—
1471	Q₈	—	10	2	no	—
1472	Q₈	—	20	1	no	—
1473	Q₈	—	20	1	no	—
1474	Q₈	—	20	1	no	—
1475	Q₈	—	20	1	no	—
1476	Q₈	—	20	1	no	—
1477	Q₈	—	20	1	no	—
1478	Q₈	—	20	1	no	—
1479	Q₈	—	20	1	no	—
1480	D₄	—	10	2	no	—
1481	D₄	—	10	2	no	—
1482	D₄	—	10	2	no	—
1483	C₂×C₄	—	2	1	no	—
1484	C₂×C₄	—	2	1	no	—
1485	C₂×C₄	—	4	1	no	—
1486	C₂×C₄	—	4	1	no	—
1487	C₂×C₄	—	5	1	no	—
1488	C₂×C₄	—	5	1	no	—
1489	C₂×C₄	—	5	2	no	—
1490	C₂×C₄	—	5	2	no	—
1491	C₂×C₄	—	5	1	no	—
1492	C₂×C₄	—	5	1	no	—
1493	C₂×C₄	—	5	1	no	—
1494	C₂×C₄	—	5	1	no	—
1495	C₂×C₄	—	5	1	no	—
1496	C₂×C₄	—	5	1	no	—
1497	C₂×C₄	—	5	1	no	—
1498	C₂×C₄	—	5	1	no	—
1499	C₂×C₄	—	5	1	no	—
1500	C₂×C₄	—	5	1	no	—
1501	C₂×C₄	—	5	1	no	—
1502	C₂×C₄	—	5	1	no	—
1503	C₂×C₄	—	10	2	no	—
1504	C₂×C₄	—	10	2	no	—
1505	C₂×C₄	—	10	2	no	—
1506	C₂×C₄	—	10	1	no	—
1507	C₂×C₄	—	10	1	no	—
1508	C₂×C₄	—	20	1	no	—
1509	C₂×C₄	—	20	1	no	—
1510	C₂×C₄	—	20	1	no	—
1511	C₂×C₄	—	20	1	no	—
1512	C₂×C₄	—	20	1	no	—
1513	C₂×C₄	—	20	1	no	—
1514	C₂×C₄	—	20	1	no	—
1515	C₂×C₄	—	20	1	no	—
1516	C₂×C₄	—	20	1	no	—
1517	C₂×C₄	—	20	1	no	—
1518	C₂×C₄	—	20	1	no	—
1519	C₂×C₄	—	20	1	no	—
1520	C₂×C₄	—	20	1	no	—
1521	C₂×C₄	C₂²×C₄×D₅	1	1	yes	characteristic
1522	C₂×C₄	C₂²×C₄×D₅	1	1	yes	characteristic
1523	C₂×C₄	C₂²×C₄×D₅	1	1	yes	characteristic
1524	C₂×C₄	C₂²×C₄×D₅	1	1	yes	characteristic
1525	C₂×C₄	C₂²×C₄×D₅	1	1	yes	characteristic
1526	C₂×C₄	C₂²×C₄×D₅	1	1	yes	characteristic
1527	C₂×C₄	C₂²×C₄×D₅	1	1	yes	characteristic
1528	C₂×C₄	C₂²×C₄×D₅	1	1	yes	characteristic
1529	C₂×C₄	C₂²×C₄×D₅	1	1	yes	characteristic
1530	C₂×C₄	C₂²×C₄×D₅	1	1	yes	characteristic
1531	C₂×C₄	C₂²×C₄×D₅	1	1	yes	characteristic
1532	C₂×C₄	C₂²×C₄×D₅	1	1	yes	characteristic
1533	C₂×C₄	C₂²×C₄×D₅	1	1	yes	characteristic
1534	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1535	C₈	—	2	1	no	—
1536	C₈	—	2	1	no	—
1537	C₈	—	2	1	no	—
1538	C₈	—	2	1	no	—
1539	C₈	—	2	1	no	—
1540	C₈	—	2	1	no	—
1541	C₈	—	2	1	no	—
1542	C₈	—	2	1	no	—
1543	C₈	—	10	1	no	—
1544	C₈	—	10	1	no	—
1545	C₈	—	10	1	no	—
1546	C₈	—	10	1	no	—
1547	C₈	—	10	1	no	—
1548	C₈	—	10	1	no	—
1549	C₈	—	10	1	no	—
1550	C₈	—	10	1	no	—
1551	C₅	#60254	1	1	yes	characteristic, complemented, Sylow
1552	C₂²	—	2	1	no	—
1553	C₂²	—	2	1	no	—
1554	C₂²	—	2	1	no	—
1555	C₂²	—	5	2	no	—
1556	C₂²	—	10	1	no	—
1557	C₂²	—	10	1	no	—
1558	C₂²	—	10	1	no	—
1559	C₂²	—	10	1	no	—
1560	C₂²	—	10	1	no	—
1561	C₂²	C₂³×C₄×D₅	1	1	yes	characteristic
1562	C₄	—	2	1	no	—
1563	C₄	—	2	1	no	—
1564	C₄	—	2	1	no	—
1565	C₄	—	2	1	no	—
1566	C₄	—	2	1	no	—
1567	C₄	—	2	1	no	—
1568	C₄	—	2	1	no	—
1569	C₄	—	2	1	no	—
1570	C₄	—	2	1	no	—
1571	C₄	—	2	1	no	—
1572	C₄	—	2	1	no	—
1573	C₄	—	2	1	no	—
1574	C₄	—	2	1	no	—
1575	C₄	—	5	2	no	—
1576	C₄	—	5	2	no	—
1577	C₄	—	10	1	no	—
1578	C₄	—	10	1	no	—
1579	C₄	—	10	1	no	—
1580	C₄	—	10	1	no	—
1581	C₄	—	10	1	no	—
1582	C₄	—	10	1	no	—
1583	C₄	—	10	1	no	—
1584	C₄	—	10	1	no	—
1585	C₄	—	10	1	no	—
1586	C₄	—	10	1	no	—
1587	C₄	—	10	1	no	—
1588	C₄	—	10	1	no	—
1589	C₄	D₅×2₋¹⁺⁴	1	1	yes	characteristic
1590	C₄	D₅×2₋¹⁺⁴	1	1	yes	characteristic
1591	C₂	—	4	1	no	—
1592	C₂	—	10	2	no	—
1593	C₂	—	20	1	no	—
1594	C₂	D₅×#519	1	1	yes	characteristic
1595	C₂	D₅×#568	1	1	yes	characteristic
1596	C₂	#10619067	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₄	C₂⁴×D₅
commutator, socle	C₂²×C₅	C₂⁴×C₄
Fitting	C₅×#2987	C₂
prime radical	C₂×#709	C₂³
cosocle	C₂×C₄×C₅	C₂⁵
hypercenter	#2987	D₅
hypocenter	C₅	#60254
LCS	G ▷ C₂²×C₅ ▷ C₅
UCS	C₁ ◁ C₂×C₄ ◁ #2987

Complements

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

N	H ≅ G/N	type
2. C₅×#2987	C₂	semidirect
3. #10615062	C₂	semidirect
4. #10611699	C₂	semidirect
5. #10611699	C₂	semidirect
6. #10611698	C₂	semidirect
7. #10611697	C₂	semidirect
8. #10611697	C₂	semidirect
9. #10611696	C₂	semidirect
10. #10611695	C₂	semidirect
11. #10611694	C₂	semidirect
12. #10611693	C₂	semidirect
13. #10611692	C₂	semidirect
14. #10611692	C₂	semidirect
15. #10611691	C₂	semidirect
16. #10611690	C₂	semidirect
17. #10611690	C₂	semidirect
18. #10611689	C₂	semidirect
19. D₅×#446	C₂	semidirect
24. #10611092	C₂	semidirect
25. #10611091	C₂	semidirect
26. #10611090	C₂	semidirect
27. #10611090	C₂	semidirect
30. #10611046	C₂	semidirect
31. #10611045	C₂	semidirect
483. #2987	D₅	semidirect
1551. C₅	#60254	semidirect

Maximal subgroups

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

subgroup	index
#10618178	2
C₅×#2987	2
#10615062	2
#10611699	2
#10611698	2
#10611697	2
#10611696	2
#10611695	2
#10611694	2
#10611693	2
#10611692	2
#10611691	2
#10611690	2
#10611689	2
D₅×#446	2
#10611106	2
#10611104	2
#10611103	2
#10611092	2
#10611091	2
#10611090	2
#10611065	2
#10611063	2
#10611046	2
#10611045	2
#60254	5