Subgroups — #12976314

Order 1280.

2088 conjugacy classes of subgroups.

The subgroup lattice has 1794 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10618775	C₂	1	1	yes	maximal, characteristic
2	D₄×Q₈×D₅	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#3320	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615351	C₂	1	1	yes	maximal, characteristic, complemented
5	#10615283	C₂	1	1	yes	maximal, characteristic, complemented
6	#10613480	C₂	1	1	yes	maximal, characteristic, complemented
7	#10613470	C₂	1	1	yes	maximal, characteristic, complemented
8	#10613285	C₂	1	1	yes	maximal, characteristic, complemented
9	#10613248	C₂	1	1	yes	maximal, characteristic, complemented
10	#10613221	C₂	1	1	yes	maximal, characteristic, complemented
11	#10613200	C₂	1	1	yes	maximal, characteristic, complemented
12	#10612979	C₂	1	1	yes	maximal, characteristic, complemented
13	#10612961	C₂	1	1	yes	maximal, characteristic, complemented
14	#10612577	C₂	1	1	yes	maximal, characteristic, complemented
15	#10612537	C₂	1	1	yes	maximal, characteristic, complemented
16	#10612420	C₂	1	1	yes	maximal, characteristic, complemented
17	#10612389	C₂	1	1	yes	maximal, characteristic, complemented
18	#10612184	C₂	1	1	yes	maximal, characteristic, complemented
19	#10612160	C₂	1	1	yes	maximal, characteristic, complemented
20	#10611787	C₂	1	1	yes	maximal, characteristic, complemented
21	#10611780	C₂	1	1	yes	maximal, characteristic, complemented
22	#10611770	C₂	1	1	yes	maximal, characteristic, complemented
23	#10611770	C₂	1	1	yes	maximal, characteristic, complemented
24	#10611535	C₂	1	1	yes	maximal, characteristic, complemented
25	#10611505	C₂	1	1	yes	maximal, characteristic, complemented
26	#10611242	C₂	1	1	yes	maximal, characteristic, complemented
27	#10611214	C₂	1	1	yes	maximal, characteristic, complemented
28	#10610703	C₂	1	1	yes	maximal, characteristic, complemented
29	D₅×#419	C₂	1	1	yes	maximal, characteristic, complemented
30	#10610537	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#65091	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×Q₈×D₅	C₂²	1	1	yes	characteristic
33	C₂²×Q₈×D₅	C₂²	1	1	yes	characteristic
34	C₅×#553	C₂²	1	1	yes	characteristic
35	C₅×D₄×Q₈	C₂²	1	1	yes	characteristic
36	Q₈×C₂²⋊D₅	C₂²	1	1	yes	characteristic
37	Q₈×C₂²⋊D₅	C₂²	1	1	yes	characteristic
38	C₂×#4061	C₂²	1	1	yes	characteristic
39	C₂×#4061	C₂²	1	1	yes	characteristic
40	C₂×#4061	C₂²	1	1	yes	characteristic
41	C₂×D₅×M₁₆	C₂²	1	1	yes	characteristic
42	C₂²×#676	C₂²	1	1	yes	characteristic
43	#66061	—	2	1	no	—
44	#66061	C₂²	1	1	yes	characteristic
45	D₅×C₄⋊Q₈	—	2	1	no	—
46	D₅×C₄⋊Q₈	C₂²	1	1	yes	characteristic
47	#66042	—	2	1	no	—
48	#66040	—	2	1	no	—
49	#66028	C₂²	1	1	yes	characteristic
50	#66022	C₂²	1	1	yes	characteristic
51	#65993	—	2	1	no	—
52	#65983	—	2	1	no	—
53	#65966	—	2	1	no	—
54	#65966	—	2	1	no	—
55	#65966	C₂²	1	1	yes	characteristic
56	#65966	C₂²	1	1	yes	characteristic
57	D₅×C₂²⋊Q₈	—	2	1	no	—
58	D₅×C₂²⋊Q₈	—	2	1	no	—
59	D₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
60	D₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
61	#65950	C₂²	1	1	yes	characteristic
62	#65945	C₂²	1	1	yes	characteristic
63	#65944	—	2	1	no	—
64	#65940	C₂²	1	1	yes	characteristic
65	#65940	C₂²	1	1	yes	characteristic
66	#65934	—	2	1	no	—
67	Q₈×D₂₀	C₂²	1	1	yes	characteristic
68	C₄×Q₈×D₅	C₂²	1	1	yes	characteristic
69	#65892	C₂²	1	1	yes	characteristic
70	#65890	—	2	1	no	—
71	C₄×D₄×D₅	—	2	1	no	—
72	C₄×D₄×D₅	C₂²	1	1	yes	characteristic
73	#65875	C₂²	1	1	yes	characteristic
74	D₄×Dic₁₀	—	2	1	no	—
75	D₄×Dic₁₀	C₂²	1	1	yes	characteristic
76	C₄×#711	—	2	1	no	—
77	C₄×#711	C₂²	1	1	yes	characteristic
78	#65867	C₂²	1	1	yes	characteristic
79	D₅×#117	C₂²	1	1	yes	characteristic
80	#65845	C₂²	1	1	yes	characteristic
81	C₂×#4038	C₂²	1	1	yes	characteristic
82	C₅×#491	C₂²	1	1	yes	characteristic, complemented
83	C₅×#485	C₂²	1	1	yes	characteristic, complemented
84	C₅×#484	C₂²	1	1	yes	characteristic, complemented
85	C₅×#479	C₂²	1	1	yes	characteristic, complemented
86	C₅×#468	C₂²	1	1	yes	characteristic, complemented
87	C₅×#465	C₂²	1	1	yes	characteristic, complemented
88	C₅×#461	C₂²	1	1	yes	characteristic, complemented
89	C₅×#448	C₂²	1	1	yes	characteristic, complemented
90	C₅×#448	C₂²	1	1	yes	characteristic, complemented
91	C₅×#440	C₂²	1	1	yes	characteristic, complemented
92	C₅×#435	C₂²	1	1	yes	characteristic
93	C₅×#419	C₂²	1	1	yes	characteristic, complemented
94	C₂×C₅×#103	C₂²	1	1	yes	characteristic, complemented
95	#65517	C₂²	1	1	yes	characteristic, complemented
96	#65517	C₂²	1	1	yes	characteristic, complemented
97	#65514	C₂²	1	1	yes	characteristic, complemented
98	C₂×#3967	C₂²	1	1	yes	characteristic, complemented
99	#65463	C₂²	1	1	yes	characteristic, complemented
100	#65460	C₂²	1	1	yes	characteristic, complemented
101	#65459	C₂²	1	1	yes	characteristic, complemented
102	#65459	C₂²	1	1	yes	characteristic, complemented
103	#65459	C₂²	1	1	yes	characteristic, complemented
104	#65459	C₂²	1	1	yes	characteristic, complemented
105	#65451	C₂²	1	1	yes	characteristic, complemented
106	#65451	C₂²	1	1	yes	characteristic, complemented
107	SD₁₆×Dic₅	C₂²	1	1	yes	characteristic, complemented
108	#65426	C₂²	1	1	yes	characteristic, complemented
109	#65417	C₂²	1	1	yes	characteristic
110	#65409	C₂²	1	1	yes	characteristic, complemented
111	#65405	C₂²	1	1	yes	characteristic, complemented
112	C₈×C₂²⋊D₅	C₂²	1	1	yes	characteristic
113	C₂×#3948	C₂²	1	1	yes	characteristic, complemented
114	#65379	C₂²	1	1	yes	characteristic, complemented
115	#65371	C₂²	1	1	yes	characteristic, complemented
116	#65358	C₂²	1	1	yes	characteristic, complemented
117	#65352	C₂²	1	1	yes	characteristic, complemented
118	#65341	C₂²	1	1	yes	characteristic, complemented
119	#65340	C₂²	1	1	yes	characteristic, complemented
120	#65334	C₂²	1	1	yes	characteristic, complemented
121	#65332	C₂²	1	1	yes	characteristic, complemented
122	#65331	C₂²	1	1	yes	characteristic, complemented
123	#65330	C₂²	1	1	yes	characteristic, complemented
124	#65329	C₂²	1	1	yes	characteristic, complemented
125	#65329	C₂²	1	1	yes	characteristic, complemented
126	#65319	C₂²	1	1	yes	characteristic, complemented
127	#65311	C₂²	1	1	yes	characteristic, complemented
128	#65308	C₂²	1	1	yes	characteristic, complemented
129	#65307	C₂²	1	1	yes	characteristic, complemented
130	#65300	C₂²	1	1	yes	characteristic
131	#65293	C₂²	1	1	yes	characteristic, complemented
132	#65285	C₂²	1	1	yes	characteristic, complemented
133	#65259	C₂²	1	1	yes	characteristic, complemented
134	C₂×#3942	C₂²	1	1	yes	characteristic, complemented
135	#65177	C₂²	1	1	yes	characteristic, complemented
136	#65177	C₂²	1	1	yes	characteristic, complemented
137	#65176	C₂²	1	1	yes	characteristic, complemented
138	#65173	C₂²	1	1	yes	characteristic, complemented
139	#65170	C₂²	1	1	yes	characteristic
140	#65170	C₂²	1	1	yes	characteristic
141	#65164	C₂²	1	1	yes	characteristic, complemented
142	#65162	C₂²	1	1	yes	characteristic, complemented
143	#65157	C₂²	1	1	yes	characteristic, complemented
144	#65151	C₂²	1	1	yes	characteristic, complemented
145	#65150	C₂²	1	1	yes	characteristic
146	#65143	C₂²	1	1	yes	characteristic, complemented
147	#65138	C₂²	1	1	yes	characteristic, complemented
148	#65126	C₂²	1	1	yes	characteristic
149	#65125	C₂²	1	1	yes	characteristic
150	#65118	C₂²	1	1	yes	characteristic, complemented
151	#65105	C₂²	1	1	yes	characteristic, complemented
152	#65104	C₂²	1	1	yes	characteristic, complemented
153	#65104	C₂²	1	1	yes	characteristic, complemented
154	#65102	C₂²	1	1	yes	characteristic, complemented
155	#65098	C₂²	1	1	yes	characteristic, complemented
156	#65097	C₂²	1	1	yes	characteristic, complemented
157	#65097	C₂²	1	1	yes	characteristic, complemented
158	#65097	C₂²	1	1	yes	characteristic, complemented
159	#65097	C₂²	1	1	yes	characteristic, complemented
160	#65094	C₂²	1	1	yes	characteristic, complemented
161	#65091	C₂²	1	1	yes	characteristic
162	#65091	C₂²	1	1	yes	characteristic
163	#65091	C₂²	1	1	yes	characteristic
164	#65091	C₂²	1	1	yes	characteristic
165	#65091	C₂²	1	1	yes	characteristic
166	#65091	C₂²	1	1	yes	characteristic
167	#65091	C₂²	1	1	yes	characteristic
168	#65091	C₂²	1	1	yes	characteristic
169	#65091	C₂²	1	1	yes	characteristic
170	#65091	C₂²	1	1	yes	characteristic, complemented
171	#65091	C₂²	1	1	yes	characteristic, complemented
172	#65091	C₂²	1	1	yes	characteristic, complemented
173	#65091	C₂²	1	1	yes	characteristic, complemented
174	D₅×#103	C₂²	1	1	yes	characteristic, complemented
175	D₅×#103	C₂²	1	1	yes	characteristic, complemented
176	D₅×#103	C₂²	1	1	yes	characteristic, complemented
177	D₅×#103	C₂²	1	1	yes	characteristic, complemented
178	#65083	C₂²	1	1	yes	characteristic, complemented
179	#65082	C₂²	1	1	yes	characteristic, complemented
180	#65082	C₂²	1	1	yes	characteristic, complemented
181	#65081	C₂²	1	1	yes	characteristic, complemented
182	#65081	C₂²	1	1	yes	characteristic, complemented
183	#65081	C₂²	1	1	yes	characteristic, complemented
184	#65081	C₂²	1	1	yes	characteristic, complemented
185	#65080	C₂²	1	1	yes	characteristic, complemented
186	#65079	C₂²	1	1	yes	characteristic, complemented
187	#65069	C₂²	1	1	yes	characteristic, complemented
188	#65067	C₂²	1	1	yes	characteristic, complemented
189	#65060	C₂²	1	1	yes	characteristic
190	#65047	C₂²	1	1	yes	characteristic, complemented
191	#65028	C₂²	1	1	yes	characteristic, complemented
192	#65028	C₂²	1	1	yes	characteristic, complemented
193	#65018	C₂²	1	1	yes	characteristic
194	#65015	C₂²	1	1	yes	characteristic
195	#65015	C₂²	1	1	yes	characteristic
196	#65014	C₂²	1	1	yes	characteristic
197	#65012	C₂²	1	1	yes	characteristic, complemented
198	#65010	C₂²	1	1	yes	characteristic, complemented
199	#65005	C₂²	1	1	yes	characteristic, complemented
200	#64996	C₂²	1	1	yes	characteristic
201	#64995	C₂²	1	1	yes	characteristic
202	#64992	C₂²	1	1	yes	characteristic, complemented
203	#61157	—	5	1	no	maximal, Sylow
204	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
205	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
206	C₂×Q₈×D₅	—	2	1	no	—
207	C₂×Q₈×D₅	—	2	1	no	—
208	C₂×Q₈×D₅	—	2	1	no	—
209	C₂×Q₈×D₅	—	2	1	no	—
210	C₂×Q₈×D₅	—	2	4	no	—
211	C₂×Q₈×D₅	—	2	4	no	—
212	C₂×Q₈×D₅	—	4	2	no	—
213	C₂×Q₈×D₅	—	4	2	no	—
214	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
215	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
216	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
217	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
218	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
219	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
220	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
221	C₂×#711	—	2	1	no	—
222	C₂×#711	C₂³	1	1	yes	characteristic
223	C₂×D₄×D₅	D₄	1	1	yes	characteristic
224	C₂²×C₄×D₅	—	2	1	no	—
225	C₂²×C₄×D₅	—	2	1	no	—
226	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
227	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
228	C₂²×Dic₁₀	—	2	1	no	—
229	C₂²×Dic₁₀	—	2	1	no	—
230	C₂²×Dic₁₀	C₂³	1	1	yes	characteristic
231	C₂²×Dic₁₀	C₂³	1	1	yes	characteristic
232	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
233	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
234	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
235	C₂×C₅×M₁₆	C₂³	1	1	yes	characteristic
236	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
237	C₅×C₄⋊Q₈	—	2	1	no	—
238	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
239	C₅×#126	—	2	1	no	—
240	C₅×#125	C₂³	1	1	yes	characteristic
241	C₅×#123	—	2	1	no	—
242	C₅×C₂²⋊Q₈	—	2	1	no	—
243	C₅×C₂²⋊Q₈	—	2	1	no	—
244	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
245	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
246	C₅×#121	—	2	1	no	—
247	C₅×#121	C₂³	1	1	yes	characteristic
248	C₅×#121	C₂³	1	1	yes	characteristic
249	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
250	C₄×C₅×D₄	—	2	1	no	—
251	C₄×C₅×D₄	—	2	1	no	—
252	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
253	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
254	C₅×#117	C₂³	1	1	yes	characteristic
255	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
256	#4092	—	2	1	no	—
257	#4092	—	2	1	no	—
258	#4092	C₂³	1	1	yes	characteristic
259	#4092	C₂³	1	1	yes	characteristic
260	Q₈×Dic₅	C₂³	1	1	yes	characteristic
261	#4090	—	2	1	no	—
262	#4090	—	2	1	no	—
263	#4090	C₂³	1	1	yes	characteristic
264	#4090	C₂³	1	1	yes	characteristic
265	C₂×#689	C₂³	1	1	yes	characteristic
266	C₂×#689	C₂³	1	1	yes	characteristic
267	C₂×#689	C₂³	1	1	yes	characteristic
268	#4085	—	2	1	no	—
269	#4084	C₂³	1	1	yes	characteristic
270	#4084	C₂³	1	1	yes	characteristic
271	#4083	—	2	1	no	—
272	#4083	—	2	1	no	—
273	#4082	—	2	1	no	—
274	#4081	—	2	1	no	—
275	#4081	—	2	1	no	—
276	D₄×Dic₅	—	2	1	no	—
277	D₄×Dic₅	—	2	1	no	—
278	D₄×Dic₅	—	2	1	no	—
279	D₄×Dic₅	D₄	1	1	yes	characteristic
280	D₄×Dic₅	C₂³	1	1	yes	characteristic
281	C₂×#687	C₂³	1	1	yes	characteristic
282	C₂×#687	C₂³	1	1	yes	characteristic
283	C₂×#687	C₂³	1	1	yes	characteristic
284	#4075	—	2	1	no	—
285	C₄×C₂²⋊D₅	—	2	1	no	—
286	C₄×C₂²⋊D₅	—	2	1	no	—
287	C₄×C₂²⋊D₅	—	2	1	no	—
288	C₄×C₂²⋊D₅	—	2	1	no	—
289	C₄×C₂²⋊D₅	—	2	1	no	—
290	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
291	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
292	C₂×#685	—	2	1	no	—
293	#4072	C₂³	1	1	yes	characteristic
294	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
295	#4070	—	2	1	no	—
296	#4070	—	2	1	no	—
297	#4070	—	2	1	no	—
298	#4070	C₂³	1	1	yes	characteristic
299	#4070	C₂³	1	1	yes	characteristic
300	#4070	C₂³	1	1	yes	characteristic
301	#4070	C₂³	1	1	yes	characteristic
302	C₂×C₄×Dic₅	—	2	1	no	—
303	C₂×C₄×Dic₅	—	2	1	no	—
304	C₂×#681	C₂³	1	1	yes	characteristic
305	C₂²×#168	C₂³	1	1	yes	characteristic
306	#4061	—	2	4	no	—
307	#4061	—	4	2	no	—
308	#4061	—	4	2	no	—
309	D₅×M₁₆	—	4	2	no	—
310	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
311	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
312	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
313	C₂×#676	—	4	2	no	—
314	C₂×#676	C₂³	1	1	yes	characteristic
315	C₂×#676	C₂³	1	1	yes	characteristic
316	C₂×#676	C₂³	1	1	yes	characteristic
317	C₂×#676	C₂³	1	1	yes	characteristic
318	C₂×#676	C₂³	1	1	yes	characteristic
319	C₂×#676	C₂³	1	1	yes	characteristic
320	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
321	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
322	#4044	—	2	1	no	—
323	#4043	—	2	1	no	—
324	#4043	—	2	1	no	—
325	#4043	C₂³	1	1	yes	characteristic
326	#4043	C₂³	1	1	yes	characteristic
327	#4043	C₂³	1	1	yes	characteristic
328	#4043	C₂³	1	1	yes	characteristic
329	#4042	—	2	1	no	—
330	#4042	—	2	1	no	—
331	#4042	—	2	1	no	—
332	#4042	—	2	1	no	—
333	#4042	—	2	1	no	—
334	#4042	—	2	1	no	—
335	#4042	—	2	1	no	—
336	#4042	—	2	1	no	—
337	#4042	—	2	1	no	—
338	#4040	—	2	1	no	—
339	#4039	—	2	1	no	—
340	#4039	D₄	1	1	yes	characteristic
341	#4038	—	2	1	no	—
342	#4038	—	2	1	no	—
343	#4038	—	2	1	no	—
344	#4038	C₂³	1	1	yes	characteristic
345	#4038	C₂³	1	1	yes	characteristic
346	#4038	C₂³	1	1	yes	characteristic
347	#4038	C₂³	1	1	yes	characteristic
348	#4038	C₂³	1	1	yes	characteristic
349	D₅×C₄⋊C₄	—	2	1	no	—
350	D₅×C₄⋊C₄	—	2	1	no	—
351	D₅×C₄⋊C₄	—	2	1	no	—
352	D₅×C₄⋊C₄	—	2	1	no	—
353	D₅×C₄⋊C₄	—	2	1	no	—
354	D₅×C₄⋊C₄	D₄	1	1	yes	characteristic
355	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
356	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
357	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
358	#4036	—	2	1	no	—
359	#4035	—	2	1	no	—
360	#4035	—	2	1	no	—
361	#4034	—	2	1	no	—
362	#4034	—	2	1	no	—
363	#4034	—	2	1	no	—
364	#4034	—	2	1	no	—
365	#4034	—	2	1	no	—
366	#4034	—	2	1	no	—
367	#4034	C₂³	1	1	yes	characteristic
368	#4034	C₂³	1	1	yes	characteristic
369	#4033	—	2	1	no	—
370	#4033	—	2	1	no	—
371	#4033	—	2	1	no	—
372	#4033	C₂³	1	1	yes	characteristic
373	#4033	C₂³	1	1	yes	characteristic
374	#4031	—	2	1	no	—
375	#4031	—	2	1	no	—
376	#4030	—	2	1	no	—
377	#4029	—	2	1	no	—
378	#4029	—	2	1	no	—
379	#4029	—	2	1	no	—
380	#4027	—	2	1	no	—
381	#4027	—	2	1	no	—
382	#4027	—	2	1	no	—
383	#4027	—	2	1	no	—
384	#4027	—	2	1	no	—
385	#4027	D₄	1	1	yes	characteristic
386	#4027	D₄	1	1	yes	characteristic
387	D₅×C₂²⋊C₄	—	2	1	no	—
388	D₅×C₂²⋊C₄	—	2	1	no	—
389	D₅×C₂²⋊C₄	—	2	1	no	—
390	D₅×C₂²⋊C₄	D₄	1	1	yes	characteristic
391	D₅×C₂²⋊C₄	D₄	1	1	yes	characteristic
392	#4025	—	2	1	no	—
393	#4025	—	2	1	no	—
394	#4025	—	2	1	no	—
395	#4024	—	2	1	no	—
396	#4024	—	2	1	no	—
397	#4024	—	2	1	no	—
398	#4024	—	2	1	no	—
399	#4024	—	2	1	no	—
400	#4024	—	2	1	no	—
401	#4024	—	2	1	no	—
402	#4023	—	2	1	no	—
403	#4023	—	2	1	no	—
404	#4023	—	2	1	no	—
405	#4023	—	2	1	no	—
406	#4022	—	2	1	no	—
407	C₄×D₂₀	—	2	1	no	—
408	C₄×D₂₀	C₂³	1	1	yes	characteristic
409	#4018	—	2	1	no	—
410	C₄²×D₅	—	2	1	no	—
411	C₄²×D₅	—	2	1	no	—
412	C₄²×D₅	C₂³	1	1	yes	characteristic
413	#4016	C₂³	1	1	yes	characteristic
414	#4015	—	2	1	no	—
415	#4015	C₂³	1	1	yes	characteristic
416	C₄×Dic₁₀	—	2	1	no	—
417	C₄×Dic₁₀	—	2	1	no	—
418	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
419	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
420	C₅×#107	C₂³	1	1	yes	characteristic
421	C₅×#107	C₂³	1	1	yes	characteristic
422	C₅×#106	C₂³	1	1	yes	characteristic
423	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
424	C₅×#103	C₂³	1	1	yes	characteristic
425	C₅×#103	C₂³	1	1	yes	characteristic
426	C₅×#103	C₂³	1	1	yes	characteristic
427	C₅×#103	C₂³	1	1	yes	characteristic
428	C₅×#103	C₂³	1	1	yes	characteristic
429	C₅×#103	C₂³	1	1	yes	characteristic
430	C₅×#103	C₂³	1	1	yes	characteristic
431	C₅×#103	C₂³	1	1	yes	characteristic
432	C₅×#103	C₂³	1	1	yes	characteristic
433	C₅×#102	C₂³	1	1	yes	characteristic
434	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
435	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
436	C₅×#97	C₂³	1	1	yes	characteristic
437	#3967	C₂³	1	1	yes	characteristic
438	#3967	C₂³	1	1	yes	characteristic
439	#3967	C₂³	1	1	yes	characteristic
440	#3967	C₂³	1	1	yes	characteristic
441	#3967	C₂³	1	1	yes	characteristic
442	#3967	C₂³	1	1	yes	characteristic
443	#3967	C₂³	1	1	yes	characteristic
444	#3967	C₂³	1	1	yes	characteristic
445	#3967	C₂³	1	1	yes	characteristic
446	#3964	C₂³	1	1	yes	characteristic
447	C₂²⋊#168	C₂³	1	1	yes	characteristic
448	C₂²⋊#168	C₂³	1	1	yes	characteristic
449	#3952	C₂³	1	1	yes	characteristic
450	#3952	C₂³	1	1	yes	characteristic
451	#3952	C₂³	1	1	yes	characteristic
452	#3952	C₂³	1	1	yes	characteristic
453	#3950	C₂³	1	1	yes	characteristic
454	#3949	C₂³	1	1	yes	characteristic
455	#3949	C₂³	1	1	yes	characteristic
456	#3948	C₂³	1	1	yes	characteristic
457	#3948	C₂³	1	1	yes	characteristic
458	#3948	C₂³	1	1	yes	characteristic
459	#3948	C₂³	1	1	yes	characteristic
460	#3948	C₂³	1	1	yes	characteristic
461	#3948	C₂³	1	1	yes	characteristic
462	#3948	C₂³	1	1	yes	characteristic
463	#3948	C₂³	1	1	yes	characteristic
464	#3948	C₂³	1	1	yes	characteristic
465	#3948	C₂³	1	1	yes	characteristic
466	#3946	C₂³	1	1	yes	characteristic
467	#3946	C₂³	1	1	yes	characteristic
468	C₈×Dic₅	C₂³	1	1	yes	characteristic
469	C₈×Dic₅	C₂³	1	1	yes	characteristic
470	#3942	C₂³	1	1	yes	characteristic
471	#3942	C₂³	1	1	yes	characteristic
472	#3942	C₂³	1	1	yes	characteristic
473	#3942	C₂³	1	1	yes	characteristic
474	#3942	C₂³	1	1	yes	characteristic
475	#3942	C₂³	1	1	yes	characteristic
476	#3942	C₂³	1	1	yes	characteristic
477	#3942	C₂³	1	1	yes	characteristic
478	#3942	C₂³	1	1	yes	characteristic
479	#3942	C₂³	1	1	yes	characteristic
480	#3940	C₂³	1	1	yes	characteristic
481	#3940	C₂³	1	1	yes	characteristic
482	#3940	C₂³	1	1	yes	characteristic
483	#3939	C₂³	1	1	yes	characteristic
484	#3939	C₂³	1	1	yes	characteristic
485	#3939	C₂³	1	1	yes	characteristic
486	C₄⋊#168	C₂³	1	1	yes	characteristic
487	#3935	C₂³	1	1	yes	characteristic
488	#3475	—	5	1	no	—
489	C₂×D₄×Q₈	—	5	1	no	—
490	#3329	—	5	1	no	—
491	#3329	—	5	1	no	—
492	#3328	—	5	1	no	—
493	#3328	—	5	1	no	—
494	#3320	—	5	1	no	—
495	#3320	—	5	1	no	—
496	#3320	—	5	1	no	—
497	#3320	D₅	1	1	yes	characteristic, complemented
498	#3312	—	5	1	no	—
499	#3312	—	5	1	no	—
500	#3312	—	5	1	no	—
501	#3312	—	5	1	no	—
502	#3299	—	5	1	no	—
503	#3299	—	5	1	no	—
504	#3298	—	5	1	no	—
505	#3298	—	5	1	no	—
506	#3139	—	5	1	no	—
507	#3095	—	5	1	no	—
508	#3095	—	5	1	no	—
509	#3078	—	5	1	no	—
510	#3056	—	5	1	no	—
511	#3056	—	5	1	no	—
512	#3039	—	5	1	no	—
513	#3004	—	5	1	no	—
514	#3004	—	5	1	no	—
515	C₄×#137	—	5	1	no	—
516	D₄×M₁₆	—	5	1	no	—
517	C₂×#419	—	5	1	no	—
518	C₂×#419	—	5	1	no	—
519	C₂³×D₅	C₂×D₄	1	1	yes	characteristic
520	C₂³×D₅	C₂×D₄	1	1	yes	characteristic
521	C₂×C₅×Q₈	—	2	1	no	—
522	C₂×C₅×Q₈	—	2	1	no	—
523	C₂×C₅×Q₈	—	2	2	no	—
524	C₂×C₅×Q₈	—	2	2	no	—
525	C₂×C₅×Q₈	—	4	1	no	—
526	C₂×C₅×Q₈	—	4	1	no	—
527	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
528	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
529	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
530	C₂×C₅×D₄	—	2	1	no	—
531	C₂×C₅×D₄	—	2	1	no	—
532	C₂×C₅×D₄	C₂×D₄	1	1	yes	characteristic
533	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
534	C₂²×C₄×C₅	—	2	1	no	—
535	C₂²×C₄×C₅	—	2	1	no	—
536	C₂²×C₄×C₅	—	2	1	no	—
537	C₂²×C₄×C₅	—	2	1	no	—
538	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
539	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
540	C₂×C₂²⋊D₅	—	2	1	no	—
541	C₂×C₂²⋊D₅	—	2	1	no	—
542	C₂×C₂²⋊D₅	—	2	1	no	—
543	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
544	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
545	C₂²×Dic₅	—	2	1	no	—
546	C₂²×Dic₅	—	2	1	no	—
547	C₂²×Dic₅	—	2	1	no	—
548	C₂²×Dic₅	—	2	1	no	—
549	C₂²×Dic₅	—	2	1	no	—
550	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
551	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
552	Q₈×D₅	—	2	2	no	—
553	Q₈×D₅	—	2	2	no	—
554	Q₈×D₅	—	2	2	no	—
555	Q₈×D₅	—	2	2	no	—
556	Q₈×D₅	—	2	2	no	—
557	Q₈×D₅	—	2	2	no	—
558	Q₈×D₅	—	2	2	no	—
559	Q₈×D₅	—	2	2	no	—
560	Q₈×D₅	—	2	2	no	—
561	Q₈×D₅	—	4	1	no	—
562	Q₈×D₅	—	4	1	no	—
563	Q₈×D₅	—	4	1	no	—
564	Q₈×D₅	—	4	1	no	—
565	Q₈×D₅	—	4	4	no	—
566	Q₈×D₅	—	4	4	no	—
567	Q₈×D₅	—	4	4	no	—
568	Q₈×D₅	—	4	4	no	—
569	Q₈×D₅	#41	1	4	yes	complemented
570	#711	—	2	2	no	—
571	#711	—	2	2	no	—
572	#711	—	4	4	no	—
573	D₄×D₅	—	2	4	no	—
574	C₂×D₂₀	C₂×D₄	1	1	yes	characteristic
575	C₂×C₄×D₅	—	2	1	no	—
576	C₂×C₄×D₅	—	2	2	no	—
577	C₂×C₄×D₅	—	2	2	no	—
578	C₂×C₄×D₅	—	2	2	no	—
579	C₂×C₄×D₅	—	2	2	no	—
580	C₂×C₄×D₅	—	2	1	no	—
581	C₂×C₄×D₅	—	2	1	no	—
582	C₂×C₄×D₅	—	2	1	no	—
583	C₂×C₄×D₅	—	2	1	no	—
584	C₂×C₄×D₅	—	2	1	no	—
585	C₂×C₄×D₅	—	2	1	no	—
586	C₂×C₄×D₅	—	2	1	no	—
587	C₂×C₄×D₅	—	2	1	no	—
588	C₂×C₄×D₅	—	2	1	no	—
589	C₂×C₄×D₅	—	4	4	no	—
590	C₂×C₄×D₅	—	4	4	no	—
591	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
592	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
593	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
594	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
595	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
596	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
597	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
598	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
599	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
600	C₂×Dic₁₀	—	2	1	no	—
601	C₂×Dic₁₀	—	2	2	no	—
602	C₂×Dic₁₀	—	2	2	no	—
603	C₂×Dic₁₀	—	2	1	no	—
604	C₂×Dic₁₀	—	2	1	no	—
605	C₂×Dic₁₀	—	2	1	no	—
606	C₂×Dic₁₀	—	2	1	no	—
607	C₂×Dic₁₀	—	2	1	no	—
608	C₂×Dic₁₀	—	2	1	no	—
609	C₂×Dic₁₀	—	2	1	no	—
610	C₂×Dic₁₀	—	2	1	no	—
611	C₂×Dic₁₀	—	2	1	no	—
612	C₂×Dic₁₀	—	2	1	no	—
613	C₂×Dic₁₀	—	4	1	no	—
614	C₂×Dic₁₀	—	4	1	no	—
615	C₂×Dic₁₀	—	4	4	no	—
616	C₂×Dic₁₀	—	4	4	no	—
617	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
618	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
619	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
620	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
621	C₅×SD₁₆	—	2	2	no	—
622	C₅×SD₁₆	—	4	1	no	—
623	C₅×SD₁₆	—	4	1	no	—
624	C₅×M₁₆	—	4	1	no	—
625	C₂×C₅×C₈	—	4	1	no	—
626	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
627	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
628	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
629	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
630	C₅×C₄⋊C₄	—	2	1	no	—
631	C₅×C₄⋊C₄	—	2	1	no	—
632	C₅×C₄⋊C₄	—	2	1	no	—
633	C₅×C₄⋊C₄	—	2	1	no	—
634	C₅×C₄⋊C₄	—	2	1	no	—
635	C₅×C₄⋊C₄	—	2	1	no	—
636	C₅×C₄⋊C₄	—	2	1	no	—
637	C₅×C₄⋊C₄	—	2	1	no	—
638	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
639	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
640	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
641	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
642	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
643	C₅×C₂²⋊C₄	—	2	1	no	—
644	C₅×C₂²⋊C₄	—	2	1	no	—
645	C₅×C₂²⋊C₄	—	2	1	no	—
646	C₅×C₂²⋊C₄	—	2	1	no	—
647	C₅×C₂²⋊C₄	—	2	1	no	—
648	C₅×C₂²⋊C₄	—	2	1	no	—
649	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
650	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
651	C₄²×C₅	—	2	1	no	—
652	C₄²×C₅	—	2	1	no	—
653	C₄²×C₅	C₂⁴	1	1	yes	characteristic
654	C₂²⋊Dic₅	—	2	1	no	—
655	C₂²⋊Dic₅	—	2	1	no	—
656	C₂²⋊Dic₅	—	2	1	no	—
657	C₂²⋊Dic₅	—	2	1	no	—
658	C₂²⋊Dic₅	—	2	1	no	—
659	C₂²⋊Dic₅	—	2	1	no	—
660	C₂²⋊Dic₅	—	2	1	no	—
661	C₂²⋊Dic₅	—	2	1	no	—
662	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
663	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
664	#689	—	2	2	no	—
665	#689	—	4	1	no	—
666	#689	—	4	1	no	—
667	#687	—	2	2	no	—
668	#687	—	4	1	no	—
669	#687	—	4	1	no	—
670	#685	—	2	1	no	—
671	#685	—	2	1	no	—
672	#685	—	2	1	no	—
673	#685	—	2	1	no	—
674	#685	—	2	1	no	—
675	#685	—	2	1	no	—
676	#685	—	2	1	no	—
677	#685	—	2	1	no	—
678	#685	—	2	1	no	—
679	#685	—	2	1	no	—
680	#685	—	2	1	no	—
681	#685	C₂×D₄	1	1	yes	characteristic
682	#685	C₂×D₄	1	1	yes	characteristic
683	#685	C₂×D₄	1	1	yes	characteristic
684	#685	C₂×D₄	1	1	yes	characteristic
685	C₄⋊Dic₅	—	2	1	no	—
686	C₄⋊Dic₅	—	2	1	no	—
687	C₄⋊Dic₅	—	2	1	no	—
688	C₄⋊Dic₅	—	2	1	no	—
689	C₄⋊Dic₅	—	2	1	no	—
690	C₄⋊Dic₅	—	2	1	no	—
691	C₄⋊Dic₅	—	2	1	no	—
692	C₄⋊Dic₅	—	2	1	no	—
693	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
694	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
695	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
696	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
697	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
698	#683	—	2	1	no	—
699	#683	—	2	1	no	—
700	#683	—	2	1	no	—
701	#683	—	2	1	no	—
702	#683	—	2	1	no	—
703	#683	—	2	1	no	—
704	#683	—	2	1	no	—
705	#683	—	2	1	no	—
706	#683	—	2	1	no	—
707	#683	—	2	1	no	—
708	#683	—	2	1	no	—
709	#683	—	2	1	no	—
710	#683	—	2	1	no	—
711	#683	—	2	1	no	—
712	#683	—	2	1	no	—
713	#683	—	2	1	no	—
714	#683	—	2	1	no	—
715	#683	—	2	1	no	—
716	#683	—	2	1	no	—
717	#683	—	2	1	no	—
718	#683	—	2	1	no	—
719	#683	C₂×D₄	1	1	yes	characteristic
720	#683	C₂×D₄	1	1	yes	characteristic
721	C₄×Dic₅	—	2	1	no	—
722	C₄×Dic₅	—	2	1	no	—
723	C₄×Dic₅	—	2	1	no	—
724	C₄×Dic₅	—	2	1	no	—
725	C₄×Dic₅	—	2	1	no	—
726	C₄×Dic₅	—	2	1	no	—
727	C₄×Dic₅	—	2	1	no	—
728	C₄×Dic₅	—	2	1	no	—
729	C₄×Dic₅	—	2	1	no	—
730	C₄×Dic₅	—	2	1	no	—
731	C₄×Dic₅	—	2	1	no	—
732	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
733	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
734	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
735	#681	—	4	1	no	—
736	C₂×#168	—	4	1	no	—
737	C₂×#168	C₂⁴	1	1	yes	characteristic
738	C₂×#168	C₂⁴	1	1	yes	characteristic
739	C₂×#168	C₂⁴	1	1	yes	characteristic
740	C₂×#168	C₂⁴	1	1	yes	characteristic
741	Dic₂₀	—	2	2	no	—
742	Dic₂₀	—	4	1	no	—
743	Dic₂₀	—	4	1	no	—
744	#676	—	2	2	no	—
745	#676	—	2	2	no	—
746	#676	—	2	2	no	—
747	#676	—	2	2	no	—
748	#676	—	4	1	no	—
749	#676	—	4	1	no	—
750	C₈×D₅	—	4	1	no	—
751	C₈×D₅	—	4	1	no	—
752	C₂³×Q₈	—	5	1	no	—
753	C₂³×Q₈	—	5	1	no	—
754	C₂×#137	—	5	1	no	—
755	C₂×#137	—	5	1	no	—
756	C₂×#137	—	5	1	no	—
757	C₂²×M₁₆	—	5	1	no	—
758	C₂²×M₁₆	—	5	1	no	—
759	#556	—	5	1	no	—
760	#555	—	5	1	no	—
761	#554	—	5	1	no	—
762	#553	—	5	1	no	—
763	#553	C₂×D₅	1	1	yes	characteristic
764	#552	—	5	1	no	—
765	#552	—	5	1	no	—
766	#552	—	10	1	no	—
767	#551	—	10	1	no	—
768	#551	—	10	1	no	—
769	D₄×Q₈	—	5	1	no	—
770	D₄×Q₈	—	5	1	no	—
771	D₄×Q₈	—	5	1	no	—
772	D₄×Q₈	—	5	1	no	—
773	D₄×Q₈	—	5	1	no	—
774	D₄×Q₈	—	5	1	no	—
775	D₄×Q₈	—	5	1	no	—
776	D₄×Q₈	—	10	1	no	—
777	D₄×Q₈	—	10	1	no	—
778	D₄×Q₈	—	10	1	no	—
779	D₄×Q₈	—	10	1	no	—
780	D₄×Q₈	C₂×D₅	1	1	yes	characteristic
781	#547	—	5	1	no	—
782	#546	—	10	1	no	—
783	#533	—	5	1	no	—
784	C₂×C₄⋊Q₈	—	5	1	no	—
785	C₂×C₄⋊Q₈	—	10	1	no	—
786	#529	—	10	1	no	—
787	#529	—	10	1	no	—
788	#529	—	10	1	no	—
789	#525	—	5	1	no	—
790	#525	—	5	1	no	—
791	C₂×C₂²⋊Q₈	—	5	1	no	—
792	C₂×C₂²⋊Q₈	—	5	1	no	—
793	C₂×C₂²⋊Q₈	—	10	1	no	—
794	C₂×C₂²⋊Q₈	—	10	1	no	—
795	C₄×#41	—	5	1	no	—
796	C₄×#41	—	10	1	no	—
797	C₂×C₄×Q₈	—	5	1	no	—
798	C₂×C₄×D₄	—	5	1	no	—
799	C₂×C₄×D₄	—	10	1	no	—
800	C₂×#117	—	5	1	no	—
801	C₂×#117	—	5	1	no	—
802	#491	—	5	1	no	—
803	#491	—	5	1	no	—
804	#491	—	5	1	no	—
805	#491	C₂×D₅	1	1	yes	characteristic, complemented
806	#487	—	5	1	no	—
807	#487	—	5	1	no	—
808	#487	—	5	1	no	—
809	#487	—	5	1	no	—
810	#485	—	5	1	no	—
811	#485	—	5	1	no	—
812	#485	—	5	1	no	—
813	#485	—	5	1	no	—
814	#485	—	5	1	no	—
815	#485	—	5	1	no	—
816	#485	—	5	1	no	—
817	#485	C₂×D₅	1	1	yes	characteristic, complemented
818	#484	—	5	1	no	—
819	#484	—	5	1	no	—
820	#484	—	5	1	no	—
821	#484	C₂×D₅	1	1	yes	characteristic, complemented
822	#483	—	5	1	no	—
823	#483	—	5	1	no	—
824	#483	—	5	1	no	—
825	#483	—	5	1	no	—
826	#479	—	5	1	no	—
827	#479	—	5	1	no	—
828	#479	—	5	1	no	—
829	#479	C₂×D₅	1	1	yes	characteristic, complemented
830	#477	—	5	1	no	—
831	#477	—	5	1	no	—
832	#475	—	5	1	no	—
833	#475	—	5	1	no	—
834	#470	—	5	1	no	—
835	#470	—	5	1	no	—
836	#470	—	5	1	no	—
837	#470	—	5	1	no	—
838	#468	—	5	1	no	—
839	#468	—	5	1	no	—
840	#468	—	5	1	no	—
841	#468	C₂×D₅	1	1	yes	characteristic, complemented
842	#467	—	5	1	no	—
843	#467	—	5	1	no	—
844	#467	—	5	1	no	—
845	#467	—	5	1	no	—
846	#465	—	5	1	no	—
847	#465	—	5	1	no	—
848	#465	—	5	1	no	—
849	#465	C₂×D₅	1	1	yes	characteristic, complemented
850	#462	—	5	1	no	—
851	#462	—	5	1	no	—
852	#462	—	5	1	no	—
853	#462	—	5	1	no	—
854	#461	—	5	1	no	—
855	#461	—	5	1	no	—
856	#461	—	5	1	no	—
857	#461	C₂×D₅	1	1	yes	characteristic, complemented
858	#451	—	5	1	no	—
859	#451	—	5	1	no	—
860	#451	—	5	1	no	—
861	#451	—	5	1	no	—
862	#451	—	5	1	no	—
863	#451	—	5	1	no	—
864	#451	—	5	1	no	—
865	#451	—	5	1	no	—
866	#448	—	5	1	no	—
867	#448	—	5	1	no	—
868	#448	—	5	1	no	—
869	#448	—	5	1	no	—
870	#448	—	5	1	no	—
871	#448	—	5	1	no	—
872	#448	C₂×D₅	1	1	yes	characteristic, complemented
873	#448	C₂×D₅	1	1	yes	characteristic, complemented
874	#441	—	5	1	no	—
875	#441	—	5	1	no	—
876	#440	—	5	1	no	—
877	#440	C₂×D₅	1	1	yes	characteristic, complemented
878	C₄×Q₁₆	—	5	1	no	—
879	C₄×Q₁₆	—	5	1	no	—
880	C₄×SD₁₆	—	5	1	no	—
881	C₄×SD₁₆	—	5	1	no	—
882	#436	—	5	1	no	—
883	#436	—	5	1	no	—
884	#435	—	5	1	no	—
885	#435	—	5	1	no	—
886	#435	—	5	1	no	—
887	#435	C₂×D₅	1	1	yes	characteristic
888	C₈×D₄	—	5	1	no	—
889	C₈×D₄	—	5	1	no	—
890	#428	—	5	1	no	—
891	#428	—	5	1	no	—
892	#428	—	5	1	no	—
893	#423	—	5	1	no	—
894	#419	—	5	1	no	—
895	#419	—	5	1	no	—
896	#419	—	5	1	no	—
897	#419	—	5	1	no	—
898	#419	—	5	1	no	—
899	#419	—	5	1	no	—
900	#419	—	5	1	no	—
901	#419	—	5	1	no	—
902	#419	—	5	1	no	—
903	#419	—	5	1	no	—
904	#419	—	5	1	no	—
905	#419	—	5	1	no	—
906	#419	—	5	1	no	—
907	#419	—	5	1	no	—
908	#419	—	5	1	no	—
909	#419	—	5	1	no	—
910	#419	C₂×D₅	1	1	yes	characteristic, complemented
911	#417	—	5	1	no	—
912	C₂×#103	—	5	1	no	—
913	C₂×#103	—	5	1	no	—
914	C₂×#103	—	5	1	no	—
915	C₂×#103	—	5	1	no	—
916	C₂×#103	—	5	1	no	—
917	C₂×#103	—	5	1	no	—
918	C₂×#103	—	5	1	no	—
919	C₂×#103	C₂×D₅	1	1	yes	characteristic, complemented
920	#407	—	5	1	no	—
921	#407	—	5	1	no	—
922	C₄×M₁₆	—	5	1	no	—
923	C₂³×C₅	—	2	1	no	—
924	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
925	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
926	C₂²×D₅	—	2	2	no	—
927	C₂²×D₅	—	2	2	no	—
928	C₂²×D₅	—	2	2	no	—
929	C₂²×D₅	—	2	2	no	—
930	C₂²×D₅	—	4	1	no	—
931	C₂²×D₅	—	4	1	no	—
932	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
933	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
934	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
935	C₅×Q₈	—	2	1	no	—
936	C₅×Q₈	—	2	1	no	—
937	C₅×Q₈	—	2	1	no	—
938	C₅×Q₈	—	2	1	no	—
939	C₅×Q₈	—	2	1	no	—
940	C₅×Q₈	—	4	2	no	—
941	C₅×Q₈	—	4	2	no	—
942	C₅×Q₈	C₂×#41	1	2	yes	—
943	C₅×D₄	—	2	2	no	—
944	C₅×D₄	—	2	1	no	—
945	C₅×D₄	—	2	1	no	—
946	C₅×D₄	—	4	2	no	—
947	C₅×D₄	—	8	1	no	—
948	C₂×C₄×C₅	—	2	1	no	—
949	C₂×C₄×C₅	—	2	1	no	—
950	C₂×C₄×C₅	—	2	1	no	—
951	C₂×C₄×C₅	—	2	1	no	—
952	C₂×C₄×C₅	—	2	1	no	—
953	C₂×C₄×C₅	—	2	1	no	—
954	C₂×C₄×C₅	—	2	1	no	—
955	C₂×C₄×C₅	—	2	1	no	—
956	C₂×C₄×C₅	—	2	1	no	—
957	C₂×C₄×C₅	—	2	1	no	—
958	C₂×C₄×C₅	—	2	1	no	—
959	C₂×C₄×C₅	—	4	2	no	—
960	C₂×C₄×C₅	—	4	2	no	—
961	C₂×C₄×C₅	—	8	1	no	—
962	C₂×C₄×C₅	—	8	1	no	—
963	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
964	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
965	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
966	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
967	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
968	C₂²⋊D₅	—	2	2	no	—
969	C₂²⋊D₅	—	4	2	no	—
970	C₂²⋊D₅	—	4	2	no	—
971	C₂²⋊D₅	—	8	1	no	—
972	C₂²⋊D₅	#137	1	4	yes	complemented
973	C₂×Dic₅	—	2	1	no	—
974	C₂×Dic₅	—	2	2	no	—
975	C₂×Dic₅	—	2	2	no	—
976	C₂×Dic₅	—	2	1	no	—
977	C₂×Dic₅	—	2	1	no	—
978	C₂×Dic₅	—	2	1	no	—
979	C₂×Dic₅	—	2	1	no	—
980	C₂×Dic₅	—	2	1	no	—
981	C₂×Dic₅	—	2	1	no	—
982	C₂×Dic₅	—	2	1	no	—
983	C₂×Dic₅	—	4	2	no	—
984	C₂×Dic₅	—	4	2	no	—
985	C₂×Dic₅	—	4	2	no	—
986	C₂×Dic₅	—	4	2	no	—
987	C₂×Dic₅	—	4	2	no	—
988	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
989	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
990	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
991	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
992	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
993	D₂₀	—	2	2	no	—
994	C₄×D₅	—	2	2	no	—
995	C₄×D₅	—	2	2	no	—
996	C₄×D₅	—	2	4	no	—
997	C₄×D₅	—	2	1	no	—
998	C₄×D₅	—	2	1	no	—
999	C₄×D₅	—	2	1	no	—
1000	C₄×D₅	—	2	1	no	—
1001	C₄×D₅	—	2	2	no	—
1002	C₄×D₅	—	2	2	no	—
1003	C₄×D₅	—	2	2	no	—
1004	C₄×D₅	—	4	1	no	—
1005	C₄×D₅	—	4	2	no	—
1006	C₄×D₅	—	4	2	no	—
1007	C₄×D₅	—	4	2	no	—
1008	C₄×D₅	—	4	2	no	—
1009	C₄×D₅	—	4	2	no	—
1010	C₄×D₅	—	4	2	no	—
1011	C₄×D₅	—	4	2	no	—
1012	C₄×D₅	—	4	2	no	—
1013	C₄×D₅	—	8	1	no	—
1014	C₄×D₅	C₂×#41	1	2	yes	—
1015	C₄×D₅	H(5,𝔽₂)	1	2	yes	—
1016	Dic₁₀	—	2	1	no	—
1017	Dic₁₀	—	2	4	no	—
1018	Dic₁₀	—	2	1	no	—
1019	Dic₁₀	—	2	1	no	—
1020	Dic₁₀	—	2	1	no	—
1021	Dic₁₀	—	2	1	no	—
1022	Dic₁₀	—	2	1	no	—
1023	Dic₁₀	—	2	1	no	—
1024	Dic₁₀	—	4	2	no	—
1025	Dic₁₀	—	4	2	no	—
1026	Dic₁₀	—	4	2	no	—
1027	Dic₁₀	—	4	2	no	—
1028	Dic₁₀	—	4	2	no	—
1029	Dic₁₀	—	4	2	no	—
1030	Dic₁₀	—	4	2	no	—
1031	Dic₁₀	—	4	2	no	—
1032	Dic₁₀	—	4	2	no	—
1033	Dic₁₀	—	8	1	no	—
1034	Dic₁₀	C₂×#41	1	2	yes	—
1035	C₅×C₈	—	2	1	no	—
1036	C₅×C₈	—	2	1	no	—
1037	C₅×C₈	—	2	1	no	—
1038	C₅×C₈	—	2	1	no	—
1039	#168	—	2	1	no	—
1040	#168	—	2	1	no	—
1041	#168	—	2	1	no	—
1042	#168	—	2	1	no	—
1043	C₂×#41	—	5	1	no	—
1044	C₂×#41	—	10	1	no	—
1045	C₂²×Q₈	—	5	1	no	—
1046	C₂²×Q₈	—	5	1	no	—
1047	C₂²×Q₈	—	5	1	no	—
1048	C₂²×Q₈	—	5	1	no	—
1049	C₂²×Q₈	—	5	1	no	—
1050	C₂²×Q₈	—	5	1	no	—
1051	C₂²×Q₈	—	5	1	no	—
1052	C₂²×Q₈	—	5	1	no	—
1053	C₂²×Q₈	—	5	1	no	—
1054	C₂²×Q₈	—	10	1	no	—
1055	C₂²×Q₈	—	10	1	no	—
1056	C₂²×Q₈	—	10	1	no	—
1057	C₂²×Q₈	—	10	1	no	—
1058	C₂²×Q₈	—	10	1	no	—
1059	C₂²×Q₈	—	10	1	no	—
1060	C₂²×Q₈	—	10	4	no	—
1061	C₂²×Q₈	—	10	4	no	—
1062	C₂²×Q₈	—	20	2	no	—
1063	C₂²×Q₈	—	20	2	no	—
1064	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic
1065	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic
1066	C₂²×D₄	—	5	1	no	—
1067	C₂³×C₄	—	5	1	no	—
1068	C₂³×C₄	—	5	1	no	—
1069	C₂³×C₄	—	10	1	no	—
1070	C₂³×C₄	—	10	1	no	—
1071	#137	—	10	4	no	—
1072	#137	—	20	2	no	—
1073	#137	—	20	2	no	—
1074	C₂×Q₁₆	—	5	1	no	—
1075	C₂×Q₁₆	—	5	1	no	—
1076	C₂×Q₁₆	—	5	1	no	—
1077	C₂×Q₁₆	—	5	1	no	—
1078	C₂×Q₁₆	—	5	1	no	—
1079	C₂×Q₁₆	—	5	1	no	—
1080	C₂×SD₁₆	—	5	1	no	—
1081	C₂×SD₁₆	—	5	1	no	—
1082	C₂×SD₁₆	—	5	1	no	—
1083	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1084	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1085	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1086	C₂×M₁₆	—	5	1	no	—
1087	C₂×M₁₆	—	5	1	no	—
1088	C₂×M₁₆	—	5	1	no	—
1089	C₂×M₁₆	—	5	1	no	—
1090	C₂×M₁₆	—	5	1	no	—
1091	C₂×M₁₆	—	5	1	no	—
1092	C₂×M₁₆	—	5	1	no	—
1093	C₂×M₁₆	—	20	2	no	—
1094	C₂×M₁₆	—	20	2	no	—
1095	C₂×M₁₆	C₂²×D₅	1	1	yes	characteristic
1096	C₂²×C₈	—	5	1	no	—
1097	C₂²×C₈	—	5	1	no	—
1098	C₂²×C₈	—	5	1	no	—
1099	C₂²×C₈	C₂²×D₅	1	1	yes	characteristic
1100	C₄⋊Q₈	—	2	1	no	—
1101	C₄⋊Q₈	—	5	1	no	—
1102	C₄⋊Q₈	—	5	1	no	—
1103	C₄⋊Q₈	—	5	1	no	—
1104	C₄⋊Q₈	—	5	1	no	—
1105	C₄⋊Q₈	—	5	1	no	—
1106	C₄⋊Q₈	—	10	1	no	—
1107	C₄⋊Q₈	—	10	1	no	—
1108	C₄⋊Q₈	—	10	1	no	—
1109	C₄⋊Q₈	—	10	1	no	—
1110	C₄⋊Q₈	—	10	1	no	—
1111	C₄⋊Q₈	—	10	1	no	—
1112	C₄⋊Q₈	—	10	1	no	—
1113	C₄⋊Q₈	—	10	1	no	—
1114	C₄⋊Q₈	—	10	1	no	—
1115	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1116	#126	—	2	1	no	—
1117	#126	—	10	1	no	—
1118	#126	—	10	1	no	—
1119	#126	—	10	1	no	—
1120	#126	—	10	1	no	—
1121	#126	—	10	1	no	—
1122	#125	—	5	1	no	—
1123	#125	—	10	1	no	—
1124	#125	—	10	1	no	—
1125	#125	—	10	1	no	—
1126	#125	C₂²×D₅	1	1	yes	characteristic
1127	#124	—	10	1	no	—
1128	#124	—	10	1	no	—
1129	#124	—	10	1	no	—
1130	#123	—	2	1	no	—
1131	#123	—	10	1	no	—
1132	#123	—	10	1	no	—
1133	#123	—	10	1	no	—
1134	#123	—	10	1	no	—
1135	#123	—	10	1	no	—
1136	#123	—	10	1	no	—
1137	#123	—	10	1	no	—
1138	C₂²⋊Q₈	—	2	1	no	—
1139	C₂²⋊Q₈	—	2	1	no	—
1140	C₂²⋊Q₈	—	5	1	no	—
1141	C₂²⋊Q₈	—	5	1	no	—
1142	C₂²⋊Q₈	—	5	1	no	—
1143	C₂²⋊Q₈	—	5	1	no	—
1144	C₂²⋊Q₈	—	5	1	no	—
1145	C₂²⋊Q₈	—	5	1	no	—
1146	C₂²⋊Q₈	—	5	1	no	—
1147	C₂²⋊Q₈	—	5	1	no	—
1148	C₂²⋊Q₈	—	5	1	no	—
1149	C₂²⋊Q₈	—	5	1	no	—
1150	C₂²⋊Q₈	—	10	1	no	—
1151	C₂²⋊Q₈	—	10	1	no	—
1152	C₂²⋊Q₈	—	10	1	no	—
1153	C₂²⋊Q₈	—	10	1	no	—
1154	C₂²⋊Q₈	—	10	1	no	—
1155	C₂²⋊Q₈	—	10	1	no	—
1156	C₂²⋊Q₈	—	10	1	no	—
1157	C₂²⋊Q₈	—	10	1	no	—
1158	C₂²⋊Q₈	—	10	1	no	—
1159	C₂²⋊Q₈	—	10	1	no	—
1160	C₂²⋊Q₈	—	10	1	no	—
1161	C₂²⋊Q₈	—	10	1	no	—
1162	C₂²⋊Q₈	—	10	1	no	—
1163	C₂²⋊Q₈	—	10	1	no	—
1164	C₂²⋊Q₈	—	10	1	no	—
1165	C₂²⋊Q₈	—	10	1	no	—
1166	C₂²⋊Q₈	—	10	1	no	—
1167	C₂²⋊Q₈	—	10	1	no	—
1168	C₂²⋊Q₈	—	10	1	no	—
1169	C₂²⋊Q₈	—	10	1	no	—
1170	C₂²⋊Q₈	—	10	1	no	—
1171	C₂²⋊Q₈	—	10	1	no	—
1172	C₂²⋊Q₈	—	10	1	no	—
1173	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1174	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1175	#121	—	2	1	no	—
1176	#121	—	5	1	no	—
1177	#121	—	5	1	no	—
1178	#121	—	10	1	no	—
1179	#121	—	10	1	no	—
1180	#121	C₂²×D₅	1	1	yes	characteristic
1181	#121	C₂²×D₅	1	1	yes	characteristic
1182	#120	—	10	1	no	—
1183	#120	—	10	1	no	—
1184	C₄×Q₈	—	5	1	no	—
1185	C₄×Q₈	—	5	1	no	—
1186	C₄×Q₈	—	5	1	no	—
1187	C₄×Q₈	—	5	1	no	—
1188	C₄×Q₈	—	5	1	no	—
1189	C₄×Q₈	—	10	1	no	—
1190	C₄×Q₈	—	10	1	no	—
1191	C₄×Q₈	—	10	1	no	—
1192	C₄×Q₈	—	10	1	no	—
1193	C₄×Q₈	—	10	1	no	—
1194	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1195	C₄×D₄	—	2	1	no	—
1196	C₄×D₄	—	2	1	no	—
1197	C₄×D₄	—	5	1	no	—
1198	C₄×D₄	—	5	1	no	—
1199	C₄×D₄	—	5	1	no	—
1200	C₄×D₄	—	5	1	no	—
1201	C₄×D₄	—	5	1	no	—
1202	C₄×D₄	—	5	1	no	—
1203	C₄×D₄	—	5	1	no	—
1204	C₄×D₄	—	5	1	no	—
1205	C₄×D₄	—	10	1	no	—
1206	C₄×D₄	—	10	1	no	—
1207	C₄×D₄	—	10	1	no	—
1208	C₄×D₄	—	10	1	no	—
1209	C₄×D₄	—	10	1	no	—
1210	C₄×D₄	—	10	1	no	—
1211	C₄×D₄	—	10	1	no	—
1212	C₄×D₄	—	10	1	no	—
1213	C₄×D₄	—	10	1	no	—
1214	C₄×D₄	—	10	1	no	—
1215	C₄×D₄	—	10	1	no	—
1216	C₄×D₄	—	10	1	no	—
1217	C₄×D₄	—	10	1	no	—
1218	C₄×D₄	—	10	1	no	—
1219	C₄×D₄	—	10	1	no	—
1220	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1221	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1222	#117	—	5	1	no	—
1223	#117	—	5	1	no	—
1224	#117	—	5	1	no	—
1225	#117	—	5	1	no	—
1226	#117	—	5	1	no	—
1227	#117	—	5	1	no	—
1228	#117	—	10	1	no	—
1229	#117	—	10	1	no	—
1230	#117	—	10	1	no	—
1231	#117	—	10	1	no	—
1232	#117	—	10	1	no	—
1233	#117	—	10	1	no	—
1234	#117	—	10	1	no	—
1235	#117	—	10	1	no	—
1236	#117	C₂²×D₅	1	1	yes	characteristic
1237	C₂×C₄⋊C₄	—	5	1	no	—
1238	C₂×C₄⋊C₄	—	5	1	no	—
1239	C₂×C₄⋊C₄	—	5	1	no	—
1240	C₂×C₄⋊C₄	—	5	1	no	—
1241	C₂×C₄⋊C₄	—	5	1	no	—
1242	C₂×C₄⋊C₄	—	10	1	no	—
1243	C₂×C₄⋊C₄	—	10	1	no	—
1244	C₂×C₄⋊C₄	—	10	1	no	—
1245	C₂×C₄⋊C₄	—	10	1	no	—
1246	C₂×C₄⋊C₄	—	10	1	no	—
1247	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1248	C₂×C₂²⋊C₄	—	5	1	no	—
1249	C₂×C₂²⋊C₄	—	5	1	no	—
1250	C₂×C₂²⋊C₄	—	10	1	no	—
1251	C₂×C₂²⋊C₄	—	10	1	no	—
1252	C₂×C₂²⋊C₄	—	10	1	no	—
1253	C₂×C₂²⋊C₄	—	10	1	no	—
1254	C₂×C₄²	—	5	1	no	—
1255	C₂×C₄²	—	10	1	no	—
1256	C₂×C₄²	—	10	1	no	—
1257	C₂×C₄²	—	10	1	no	—
1258	C₂×C₄²	—	10	1	no	—
1259	#107	—	5	1	no	—
1260	#107	—	5	1	no	—
1261	#107	—	5	1	no	—
1262	#107	—	5	1	no	—
1263	#107	C₂²×D₅	1	1	yes	characteristic
1264	#107	C₂²×D₅	1	1	yes	characteristic
1265	#106	—	5	1	no	—
1266	#106	—	5	1	no	—
1267	#106	—	5	1	no	—
1268	#106	—	5	1	no	—
1269	#106	—	5	1	no	—
1270	#106	C₂²×D₅	1	1	yes	characteristic
1271	C₄⋊C₈	—	5	1	no	—
1272	C₄⋊C₈	—	5	1	no	—
1273	C₄⋊C₈	—	5	1	no	—
1274	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1275	#103	—	5	1	no	—
1276	#103	—	5	1	no	—
1277	#103	—	5	1	no	—
1278	#103	—	5	1	no	—
1279	#103	—	5	1	no	—
1280	#103	—	5	1	no	—
1281	#103	—	5	1	no	—
1282	#103	—	5	1	no	—
1283	#103	—	5	1	no	—
1284	#103	—	5	1	no	—
1285	#103	—	5	1	no	—
1286	#103	—	5	1	no	—
1287	#103	—	5	1	no	—
1288	#103	—	5	1	no	—
1289	#103	—	5	1	no	—
1290	#103	—	5	1	no	—
1291	#103	—	5	1	no	—
1292	#103	—	5	1	no	—
1293	#103	—	5	1	no	—
1294	#103	—	5	1	no	—
1295	#103	—	5	1	no	—
1296	#103	—	5	1	no	—
1297	#103	—	5	1	no	—
1298	#103	—	5	1	no	—
1299	#103	—	5	1	no	—
1300	#103	—	5	1	no	—
1301	#103	—	5	1	no	—
1302	#103	—	5	1	no	—
1303	#103	—	5	1	no	—
1304	#103	C₂²×D₅	1	1	yes	characteristic
1305	#103	C₂²×D₅	1	1	yes	characteristic
1306	#103	C₂²×D₅	1	1	yes	characteristic
1307	#103	C₂²×D₅	1	1	yes	characteristic
1308	#103	C₂²×D₅	1	1	yes	characteristic
1309	#103	C₂²×D₅	1	1	yes	characteristic
1310	#103	C₂²×D₅	1	1	yes	characteristic
1311	#103	C₂²×D₅	1	1	yes	characteristic
1312	#103	C₂²×D₅	1	1	yes	characteristic
1313	#102	—	5	1	no	—
1314	#102	C₂²×D₅	1	1	yes	characteristic
1315	C₂²⋊C₈	—	5	1	no	—
1316	C₂²⋊C₈	—	5	1	no	—
1317	C₂²⋊C₈	—	5	1	no	—
1318	C₂²⋊C₈	—	5	1	no	—
1319	C₂²⋊C₈	—	5	1	no	—
1320	C₂²⋊C₈	—	5	1	no	—
1321	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1322	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1323	#97	—	5	1	no	—
1324	#97	C₂²×D₅	1	1	yes	characteristic
1325	C₄×C₈	—	5	1	no	—
1326	C₄×C₈	—	5	1	no	—
1327	C₂²×C₅	—	2	1	no	—
1328	C₂²×C₅	—	2	1	no	—
1329	C₂²×C₅	—	2	1	no	—
1330	C₂²×C₅	—	2	1	no	—
1331	C₂²×C₅	—	2	1	no	—
1332	C₂²×C₅	—	4	1	no	—
1333	C₂²×C₅	—	4	1	no	—
1334	C₂²×C₅	—	4	1	no	—
1335	C₂²×C₅	C₂×#137	1	2	yes	—
1336	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1337	C₂×D₅	—	2	1	no	—
1338	C₂×D₅	—	2	1	no	—
1339	C₂×D₅	—	2	1	no	—
1340	C₂×D₅	—	2	1	no	—
1341	C₂×D₅	—	2	1	no	—
1342	C₂×D₅	—	2	1	no	—
1343	C₂×D₅	—	2	1	no	—
1344	C₂×D₅	—	4	4	no	—
1345	C₂×D₅	—	4	4	no	—
1346	C₂×D₅	#546	1	2	yes	—
1347	C₂×D₅	C₂×#137	1	2	yes	—
1348	C₄×C₅	—	2	1	no	—
1349	C₄×C₅	—	2	2	no	—
1350	C₄×C₅	—	2	1	no	—
1351	C₄×C₅	—	2	1	no	—
1352	C₄×C₅	—	2	1	no	—
1353	C₄×C₅	—	4	1	no	—
1354	C₄×C₅	—	4	1	no	—
1355	C₄×C₅	—	4	1	no	—
1356	C₄×C₅	—	4	1	no	—
1357	C₄×C₅	—	4	1	no	—
1358	C₄×C₅	—	4	1	no	—
1359	C₄×C₅	C₂²×#41	1	1	yes	characteristic
1360	C₄×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1361	Dic₅	—	2	1	no	—
1362	Dic₅	—	2	2	no	—
1363	Dic₅	—	2	1	no	—
1364	Dic₅	—	2	1	no	—
1365	Dic₅	—	4	1	no	—
1366	Dic₅	—	4	1	no	—
1367	Dic₅	—	4	1	no	—
1368	Dic₅	—	4	1	no	—
1369	Dic₅	—	4	1	no	—
1370	Dic₅	—	4	1	no	—
1371	Dic₅	—	4	1	no	—
1372	Dic₅	#546	1	2	yes	—
1373	Dic₅	C₂×#137	1	2	yes	—
1374	C₂⁴	—	5	1	no	—
1375	C₂⁴	—	5	1	no	—
1376	#41	—	10	2	no	—
1377	#41	—	10	2	no	—
1378	#41	—	20	4	no	—
1379	C₂×Q₈	—	2	1	no	—
1380	C₂×Q₈	—	2	1	no	—
1381	C₂×Q₈	—	2	2	no	—
1382	C₂×Q₈	—	2	2	no	—
1383	C₂×Q₈	—	4	1	no	—
1384	C₂×Q₈	—	4	1	no	—
1385	C₂×Q₈	—	5	4	no	—
1386	C₂×Q₈	—	5	1	no	—
1387	C₂×Q₈	—	5	1	no	—
1388	C₂×Q₈	—	5	1	no	—
1389	C₂×Q₈	—	5	1	no	—
1390	C₂×Q₈	—	10	1	no	—
1391	C₂×Q₈	—	10	1	no	—
1392	C₂×Q₈	—	10	1	no	—
1393	C₂×Q₈	—	10	1	no	—
1394	C₂×Q₈	—	10	1	no	—
1395	C₂×Q₈	—	10	1	no	—
1396	C₂×Q₈	—	10	1	no	—
1397	C₂×Q₈	—	10	1	no	—
1398	C₂×Q₈	—	10	1	no	—
1399	C₂×Q₈	—	10	2	no	—
1400	C₂×Q₈	—	10	2	no	—
1401	C₂×Q₈	—	10	2	no	—
1402	C₂×Q₈	—	10	2	no	—
1403	C₂×Q₈	—	10	2	no	—
1404	C₂×Q₈	—	10	2	no	—
1405	C₂×Q₈	—	10	2	no	—
1406	C₂×Q₈	—	10	1	no	—
1407	C₂×Q₈	—	10	1	no	—
1408	C₂×Q₈	—	10	2	no	—
1409	C₂×Q₈	—	10	2	no	—
1410	C₂×Q₈	—	10	2	no	—
1411	C₂×Q₈	—	10	2	no	—
1412	C₂×Q₈	—	20	1	no	—
1413	C₂×Q₈	—	20	1	no	—
1414	C₂×Q₈	—	20	4	no	—
1415	C₂×Q₈	—	20	4	no	—
1416	C₂×Q₈	—	20	4	no	—
1417	C₂×Q₈	—	20	4	no	—
1418	C₂×Q₈	—	20	1	no	—
1419	C₂×Q₈	—	20	1	no	—
1420	C₂×Q₈	—	20	1	no	—
1421	C₂×Q₈	—	20	1	no	—
1422	C₂×Q₈	—	20	4	no	—
1423	C₂×Q₈	—	20	4	no	—
1424	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1425	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1426	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1427	C₂×D₄	—	2	1	no	—
1428	C₂×D₄	—	2	1	no	—
1429	C₂×D₄	—	5	1	no	—
1430	C₂×D₄	—	5	1	no	—
1431	C₂×D₄	—	5	1	no	—
1432	C₂×D₄	—	10	4	no	—
1433	C₂×D₄	—	10	1	no	—
1434	C₂×D₄	—	10	1	no	—
1435	C₂×D₄	—	10	1	no	—
1436	C₂×D₄	D₄×D₅	1	1	yes	characteristic
1437	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1438	C₂²×C₄	—	2	1	no	—
1439	C₂²×C₄	—	2	1	no	—
1440	C₂²×C₄	—	2	1	no	—
1441	C₂²×C₄	—	2	1	no	—
1442	C₂²×C₄	—	5	1	no	—
1443	C₂²×C₄	—	5	1	no	—
1444	C₂²×C₄	—	5	1	no	—
1445	C₂²×C₄	—	5	1	no	—
1446	C₂²×C₄	—	5	1	no	—
1447	C₂²×C₄	—	5	1	no	—
1448	C₂²×C₄	—	5	1	no	—
1449	C₂²×C₄	—	5	1	no	—
1450	C₂²×C₄	—	5	1	no	—
1451	C₂²×C₄	—	5	1	no	—
1452	C₂²×C₄	—	5	1	no	—
1453	C₂²×C₄	—	10	2	no	—
1454	C₂²×C₄	—	10	2	no	—
1455	C₂²×C₄	—	10	2	no	—
1456	C₂²×C₄	—	10	2	no	—
1457	C₂²×C₄	—	10	1	no	—
1458	C₂²×C₄	—	10	1	no	—
1459	C₂²×C₄	—	10	1	no	—
1460	C₂²×C₄	—	10	1	no	—
1461	C₂²×C₄	—	10	1	no	—
1462	C₂²×C₄	—	10	1	no	—
1463	C₂²×C₄	—	10	1	no	—
1464	C₂²×C₄	—	10	1	no	—
1465	C₂²×C₄	—	10	1	no	—
1466	C₂²×C₄	—	10	1	no	—
1467	C₂²×C₄	—	10	1	no	—
1468	C₂²×C₄	—	10	1	no	—
1469	C₂²×C₄	—	10	1	no	—
1470	C₂²×C₄	—	10	1	no	—
1471	C₂²×C₄	—	10	1	no	—
1472	C₂²×C₄	—	20	4	no	—
1473	C₂²×C₄	—	20	4	no	—
1474	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1475	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1476	Q₁₆	—	10	2	no	—
1477	Q₁₆	—	10	2	no	—
1478	Q₁₆	—	20	1	no	—
1479	Q₁₆	—	20	1	no	—
1480	Q₁₆	—	20	1	no	—
1481	Q₁₆	—	20	1	no	—
1482	SD₁₆	—	2	2	no	—
1483	SD₁₆	—	4	1	no	—
1484	SD₁₆	—	4	1	no	—
1485	SD₁₆	—	10	2	no	—
1486	SD₁₆	—	20	1	no	—
1487	SD₁₆	—	20	1	no	—
1488	M₁₆	—	4	1	no	—
1489	M₁₆	—	10	2	no	—
1490	M₁₆	—	10	2	no	—
1491	M₁₆	—	10	2	no	—
1492	M₁₆	—	10	2	no	—
1493	M₁₆	—	20	1	no	—
1494	M₁₆	—	20	1	no	—
1495	M₁₆	—	20	1	no	—
1496	C₂×C₈	—	4	1	no	—
1497	C₂×C₈	—	5	1	no	—
1498	C₂×C₈	—	5	1	no	—
1499	C₂×C₈	—	5	1	no	—
1500	C₂×C₈	—	5	1	no	—
1501	C₂×C₈	—	20	1	no	—
1502	C₂×C₈	—	20	1	no	—
1503	C₂×C₈	—	20	1	no	—
1504	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1505	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1506	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1507	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1508	C₄⋊C₄	—	2	1	no	—
1509	C₄⋊C₄	—	2	1	no	—
1510	C₄⋊C₄	—	2	1	no	—
1511	C₄⋊C₄	—	2	1	no	—
1512	C₄⋊C₄	—	2	1	no	—
1513	C₄⋊C₄	—	2	1	no	—
1514	C₄⋊C₄	—	2	1	no	—
1515	C₄⋊C₄	—	2	1	no	—
1516	C₄⋊C₄	—	5	1	no	—
1517	C₄⋊C₄	—	5	1	no	—
1518	C₄⋊C₄	—	5	1	no	—
1519	C₄⋊C₄	—	5	1	no	—
1520	C₄⋊C₄	—	5	1	no	—
1521	C₄⋊C₄	—	5	1	no	—
1522	C₄⋊C₄	—	5	1	no	—
1523	C₄⋊C₄	—	10	1	no	—
1524	C₄⋊C₄	—	10	1	no	—
1525	C₄⋊C₄	—	10	1	no	—
1526	C₄⋊C₄	—	10	1	no	—
1527	C₄⋊C₄	—	10	1	no	—
1528	C₄⋊C₄	—	10	1	no	—
1529	C₄⋊C₄	—	10	1	no	—
1530	C₄⋊C₄	—	10	1	no	—
1531	C₄⋊C₄	—	10	1	no	—
1532	C₄⋊C₄	—	10	1	no	—
1533	C₄⋊C₄	—	10	1	no	—
1534	C₄⋊C₄	—	10	1	no	—
1535	C₄⋊C₄	—	10	1	no	—
1536	C₄⋊C₄	—	10	1	no	—
1537	C₄⋊C₄	—	10	1	no	—
1538	C₄⋊C₄	—	10	1	no	—
1539	C₄⋊C₄	—	10	1	no	—
1540	C₄⋊C₄	—	10	1	no	—
1541	C₄⋊C₄	—	10	1	no	—
1542	C₄⋊C₄	—	10	1	no	—
1543	C₄⋊C₄	—	10	1	no	—
1544	C₄⋊C₄	—	10	1	no	—
1545	C₄⋊C₄	—	10	1	no	—
1546	C₄⋊C₄	—	10	1	no	—
1547	C₄⋊C₄	—	10	1	no	—
1548	C₄⋊C₄	—	10	1	no	—
1549	C₄⋊C₄	—	10	1	no	—
1550	C₄⋊C₄	—	10	1	no	—
1551	C₄⋊C₄	—	10	1	no	—
1552	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1553	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1554	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1555	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1556	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1557	C₂²⋊C₄	—	2	1	no	—
1558	C₂²⋊C₄	—	2	1	no	—
1559	C₂²⋊C₄	—	2	1	no	—
1560	C₂²⋊C₄	—	2	1	no	—
1561	C₂²⋊C₄	—	2	1	no	—
1562	C₂²⋊C₄	—	2	1	no	—
1563	C₂²⋊C₄	—	5	1	no	—
1564	C₂²⋊C₄	—	5	1	no	—
1565	C₂²⋊C₄	—	5	1	no	—
1566	C₂²⋊C₄	—	5	1	no	—
1567	C₂²⋊C₄	—	5	1	no	—
1568	C₂²⋊C₄	—	5	1	no	—
1569	C₂²⋊C₄	—	10	1	no	—
1570	C₂²⋊C₄	—	10	1	no	—
1571	C₂²⋊C₄	—	10	1	no	—
1572	C₂²⋊C₄	—	10	1	no	—
1573	C₂²⋊C₄	—	10	1	no	—
1574	C₂²⋊C₄	—	10	1	no	—
1575	C₂²⋊C₄	—	10	1	no	—
1576	C₂²⋊C₄	—	10	1	no	—
1577	C₂²⋊C₄	—	10	1	no	—
1578	C₂²⋊C₄	—	10	1	no	—
1579	C₂²⋊C₄	—	10	1	no	—
1580	C₂²⋊C₄	—	10	1	no	—
1581	C₂²⋊C₄	—	10	1	no	—
1582	C₂²⋊C₄	—	10	1	no	—
1583	C₂²⋊C₄	—	10	1	no	—
1584	C₂²⋊C₄	—	10	1	no	—
1585	C₂²⋊C₄	—	10	1	no	—
1586	C₂²⋊C₄	—	10	1	no	—
1587	C₂²⋊C₄	—	10	1	no	—
1588	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1589	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1590	C₄²	—	2	1	no	—
1591	C₄²	—	2	1	no	—
1592	C₄²	—	5	1	no	—
1593	C₄²	—	5	1	no	—
1594	C₄²	—	5	1	no	—
1595	C₄²	—	10	1	no	—
1596	C₄²	—	10	1	no	—
1597	C₄²	—	10	1	no	—
1598	C₄²	—	10	1	no	—
1599	C₄²	—	10	1	no	—
1600	C₄²	—	10	1	no	—
1601	C₄²	—	10	1	no	—
1602	C₄²	—	10	1	no	—
1603	C₄²	—	10	1	no	—
1604	C₄²	—	10	1	no	—
1605	C₄²	—	10	1	no	—
1606	C₄²	C₂³×D₅	1	1	yes	characteristic
1607	C₂×C₅	—	2	2	no	—
1608	C₂×C₅	—	4	1	no	—
1609	C₂×C₅	—	8	1	no	—
1610	C₂×C₅	C₂×#546	1	1	yes	characteristic
1611	C₂×C₅	C₂²×#137	1	1	yes	characteristic
1612	C₂×C₅	#3586	1	1	yes	characteristic
1613	D₅	—	2	2	no	—
1614	D₅	—	2	2	no	—
1615	D₅	—	4	1	no	—
1616	C₂³	—	2	1	no	—
1617	C₂³	—	5	1	no	—
1618	C₂³	—	5	1	no	—
1619	C₂³	—	5	1	no	—
1620	C₂³	—	10	2	no	—
1621	C₂³	—	10	2	no	—
1622	C₂³	—	10	2	no	—
1623	C₂³	—	10	2	no	—
1624	C₂³	—	20	1	no	—
1625	C₂³	—	20	1	no	—
1626	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1627	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1628	Q₈	—	2	1	no	—
1629	Q₈	—	2	1	no	—
1630	Q₈	—	2	1	no	—
1631	Q₈	—	2	1	no	—
1632	Q₈	—	2	1	no	—
1633	Q₈	—	4	2	no	—
1634	Q₈	—	4	2	no	—
1635	Q₈	—	5	2	no	—
1636	Q₈	—	10	4	no	—
1637	Q₈	—	10	1	no	—
1638	Q₈	—	10	1	no	—
1639	Q₈	—	10	1	no	—
1640	Q₈	—	10	1	no	—
1641	Q₈	—	10	1	no	—
1642	Q₈	—	10	1	no	—
1643	Q₈	—	10	1	no	—
1644	Q₈	—	20	2	no	—
1645	Q₈	—	20	2	no	—
1646	Q₈	—	20	2	no	—
1647	Q₈	—	20	2	no	—
1648	Q₈	—	20	2	no	—
1649	Q₈	—	20	2	no	—
1650	Q₈	—	20	2	no	—
1651	Q₈	—	20	2	no	—
1652	Q₈	—	20	2	no	—
1653	Q₈	—	40	1	no	—
1654	Q₈	D₅×#41	1	2	yes	—
1655	D₄	—	2	2	no	—
1656	D₄	—	2	1	no	—
1657	D₄	—	2	1	no	—
1658	D₄	—	4	2	no	—
1659	D₄	—	5	4	no	—
1660	D₄	—	8	1	no	—
1661	D₄	—	10	2	no	—
1662	D₄	—	10	2	no	—
1663	D₄	—	20	2	no	—
1664	D₄	—	20	2	no	—
1665	D₄	—	40	1	no	—
1666	C₂×C₄	—	2	1	no	—
1667	C₂×C₄	—	2	1	no	—
1668	C₂×C₄	—	2	1	no	—
1669	C₂×C₄	—	2	1	no	—
1670	C₂×C₄	—	2	1	no	—
1671	C₂×C₄	—	2	1	no	—
1672	C₂×C₄	—	2	1	no	—
1673	C₂×C₄	—	2	1	no	—
1674	C₂×C₄	—	2	1	no	—
1675	C₂×C₄	—	2	1	no	—
1676	C₂×C₄	—	2	1	no	—
1677	C₂×C₄	—	4	2	no	—
1678	C₂×C₄	—	4	2	no	—
1679	C₂×C₄	—	5	1	no	—
1680	C₂×C₄	—	5	1	no	—
1681	C₂×C₄	—	5	2	no	—
1682	C₂×C₄	—	5	2	no	—
1683	C₂×C₄	—	5	1	no	—
1684	C₂×C₄	—	5	1	no	—
1685	C₂×C₄	—	5	1	no	—
1686	C₂×C₄	—	8	1	no	—
1687	C₂×C₄	—	8	1	no	—
1688	C₂×C₄	—	10	2	no	—
1689	C₂×C₄	—	10	2	no	—
1690	C₂×C₄	—	10	2	no	—
1691	C₂×C₄	—	10	2	no	—
1692	C₂×C₄	—	10	2	no	—
1693	C₂×C₄	—	10	4	no	—
1694	C₂×C₄	—	10	2	no	—
1695	C₂×C₄	—	10	2	no	—
1696	C₂×C₄	—	10	1	no	—
1697	C₂×C₄	—	10	1	no	—
1698	C₂×C₄	—	10	1	no	—
1699	C₂×C₄	—	10	1	no	—
1700	C₂×C₄	—	10	1	no	—
1701	C₂×C₄	—	10	1	no	—
1702	C₂×C₄	—	10	1	no	—
1703	C₂×C₄	—	10	1	no	—
1704	C₂×C₄	—	10	1	no	—
1705	C₂×C₄	—	10	1	no	—
1706	C₂×C₄	—	10	1	no	—
1707	C₂×C₄	—	10	1	no	—
1708	C₂×C₄	—	20	1	no	—
1709	C₂×C₄	—	20	2	no	—
1710	C₂×C₄	—	20	2	no	—
1711	C₂×C₄	—	20	2	no	—
1712	C₂×C₄	—	20	2	no	—
1713	C₂×C₄	—	20	2	no	—
1714	C₂×C₄	—	20	2	no	—
1715	C₂×C₄	—	20	2	no	—
1716	C₂×C₄	—	20	2	no	—
1717	C₂×C₄	—	20	2	no	—
1718	C₂×C₄	—	20	2	no	—
1719	C₂×C₄	—	20	2	no	—
1720	C₂×C₄	—	20	2	no	—
1721	C₂×C₄	—	20	2	no	—
1722	C₂×C₄	—	40	1	no	—
1723	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1724	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1725	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1726	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1727	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1728	C₈	—	2	1	no	—
1729	C₈	—	2	1	no	—
1730	C₈	—	2	1	no	—
1731	C₈	—	2	1	no	—
1732	C₈	—	10	1	no	—
1733	C₈	—	10	1	no	—
1734	C₈	—	10	1	no	—
1735	C₈	—	10	1	no	—
1736	C₅	#61157	1	1	yes	characteristic, complemented, Sylow
1737	C₂²	—	2	1	no	—
1738	C₂²	—	2	1	no	—
1739	C₂²	—	2	1	no	—
1740	C₂²	—	2	1	no	—
1741	C₂²	—	2	1	no	—
1742	C₂²	—	4	1	no	—
1743	C₂²	—	4	1	no	—
1744	C₂²	—	4	1	no	—
1745	C₂²	—	5	2	no	—
1746	C₂²	—	5	2	no	—
1747	C₂²	—	10	1	no	—
1748	C₂²	—	10	1	no	—
1749	C₂²	—	10	1	no	—
1750	C₂²	—	10	1	no	—
1751	C₂²	—	10	1	no	—
1752	C₂²	—	10	1	no	—
1753	C₂²	—	10	1	no	—
1754	C₂²	—	20	4	no	—
1755	C₂²	—	20	4	no	—
1756	C₂²	D₅×#137	1	2	yes	—
1757	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1758	C₄	—	2	1	no	—
1759	C₄	—	2	1	no	—
1760	C₄	—	2	2	no	—
1761	C₄	—	2	1	no	—
1762	C₄	—	2	1	no	—
1763	C₄	—	4	1	no	—
1764	C₄	—	4	1	no	—
1765	C₄	—	4	1	no	—
1766	C₄	—	4	1	no	—
1767	C₄	—	4	1	no	—
1768	C₄	—	4	1	no	—
1769	C₄	—	5	2	no	—
1770	C₄	—	5	2	no	—
1771	C₄	—	10	1	no	—
1772	C₄	—	10	1	no	—
1773	C₄	—	10	2	no	—
1774	C₄	—	10	1	no	—
1775	C₄	—	20	1	no	—
1776	C₄	—	20	1	no	—
1777	C₄	—	20	1	no	—
1778	C₄	—	20	1	no	—
1779	C₄	—	20	1	no	—
1780	C₄	—	20	1	no	—
1781	C₄	—	20	1	no	—
1782	C₄	C₂×D₅×#41	1	1	yes	characteristic
1783	C₄	D₅×H(5,𝔽₂)	1	1	yes	characteristic
1784	C₂	—	2	2	no	—
1785	C₂	—	4	1	no	—
1786	C₂	—	8	1	no	—
1787	C₂	—	10	2	no	—
1788	C₂	—	10	2	no	—
1789	C₂	—	20	1	no	—
1790	C₂	D₅×#546	1	1	yes	characteristic
1791	C₂	C₂×D₅×#137	1	1	yes	characteristic
1792	C₂	#10619109	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂²×D₄×D₅
commutator, cosocle	C₂×C₄×C₅	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₅
Fitting	C₅×#3320	C₂
socle	C₂²×C₅	C₂³×D₄
prime radical	#10618775	C₂
hypercenter	#3320	D₅
hypocenter	C₅	#61157
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #3320

Complements

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

N	H ≅ G/N	type
2. D₄×Q₈×D₅	C₂	semidirect
3. C₅×#3320	C₂	semidirect
4. #10615351	C₂	semidirect
5. #10615283	C₂	semidirect
6. #10613480	C₂	semidirect
7. #10613470	C₂	semidirect
8. #10613285	C₂	semidirect
9. #10613248	C₂	semidirect
10. #10613221	C₂	semidirect
11. #10613200	C₂	semidirect
12. #10612979	C₂	semidirect
13. #10612961	C₂	semidirect
14. #10612577	C₂	semidirect
15. #10612537	C₂	semidirect
16. #10612420	C₂	semidirect
17. #10612389	C₂	semidirect
18. #10612184	C₂	semidirect
19. #10612160	C₂	semidirect
20. #10611787	C₂	semidirect
21. #10611780	C₂	semidirect
22. #10611770	C₂	semidirect
23. #10611770	C₂	semidirect
24. #10611535	C₂	semidirect
25. #10611505	C₂	semidirect
26. #10611242	C₂	semidirect
27. #10611214	C₂	semidirect
28. #10610703	C₂	semidirect
29. D₅×#419	C₂	semidirect
30. #10610537	C₂	semidirect
31. C₂×#65091	C₂	semidirect
82. C₅×#491	C₂²	semidirect
83. C₅×#485	C₂²	semidirect
84. C₅×#484	C₂²	semidirect
85. C₅×#479	C₂²	semidirect
86. C₅×#468	C₂²	semidirect
87. C₅×#465	C₂²	semidirect
88. C₅×#461	C₂²	semidirect
89. C₅×#448	C₂²	semidirect
90. C₅×#448	C₂²	semidirect
91. C₅×#440	C₂²	semidirect
93. C₅×#419	C₂²	semidirect
94. C₂×C₅×#103	C₂²	semidirect
95. #65517	C₂²	semidirect
96. #65517	C₂²	semidirect
97. #65514	C₂²	semidirect
98. C₂×#3967	C₂²	semidirect
99. #65463	C₂²	semidirect
100. #65460	C₂²	semidirect
101. #65459	C₂²	semidirect
102. #65459	C₂²	semidirect
103. #65459	C₂²	semidirect
104. #65459	C₂²	semidirect
105. #65451	C₂²	semidirect
106. #65451	C₂²	semidirect
107. SD₁₆×Dic₅	C₂²	semidirect
108. #65426	C₂²	semidirect
110. #65409	C₂²	semidirect
111. #65405	C₂²	semidirect
113. C₂×#3948	C₂²	semidirect
114. #65379	C₂²	semidirect
115. #65371	C₂²	semidirect
116. #65358	C₂²	semidirect
117. #65352	C₂²	semidirect
118. #65341	C₂²	semidirect
119. #65340	C₂²	semidirect
120. #65334	C₂²	semidirect
121. #65332	C₂²	semidirect
122. #65331	C₂²	semidirect
123. #65330	C₂²	semidirect
124. #65329	C₂²	semidirect
125. #65329	C₂²	semidirect
126. #65319	C₂²	semidirect
127. #65311	C₂²	semidirect
128. #65308	C₂²	semidirect
129. #65307	C₂²	semidirect
131. #65293	C₂²	semidirect
132. #65285	C₂²	semidirect
133. #65259	C₂²	semidirect
134. C₂×#3942	C₂²	semidirect
135. #65177	C₂²	semidirect
136. #65177	C₂²	semidirect
137. #65176	C₂²	semidirect
138. #65173	C₂²	semidirect
141. #65164	C₂²	semidirect
142. #65162	C₂²	semidirect
143. #65157	C₂²	semidirect
144. #65151	C₂²	semidirect
146. #65143	C₂²	semidirect
147. #65138	C₂²	semidirect
150. #65118	C₂²	semidirect
151. #65105	C₂²	semidirect
152. #65104	C₂²	semidirect
153. #65104	C₂²	semidirect
154. #65102	C₂²	semidirect
155. #65098	C₂²	semidirect
156. #65097	C₂²	semidirect
157. #65097	C₂²	semidirect
158. #65097	C₂²	semidirect
159. #65097	C₂²	semidirect
160. #65094	C₂²	semidirect
170. #65091	C₂²	semidirect
171. #65091	C₂²	semidirect
172. #65091	C₂²	semidirect
173. #65091	C₂²	semidirect
174. D₅×#103	C₂²	semidirect
175. D₅×#103	C₂²	semidirect
176. D₅×#103	C₂²	semidirect
177. D₅×#103	C₂²	semidirect
178. #65083	C₂²	semidirect
179. #65082	C₂²	semidirect
180. #65082	C₂²	semidirect
181. #65081	C₂²	semidirect
182. #65081	C₂²	semidirect
183. #65081	C₂²	semidirect
184. #65081	C₂²	semidirect
185. #65080	C₂²	semidirect
186. #65079	C₂²	semidirect
187. #65069	C₂²	semidirect
188. #65067	C₂²	semidirect
190. #65047	C₂²	semidirect
191. #65028	C₂²	semidirect
192. #65028	C₂²	semidirect
197. #65012	C₂²	semidirect
198. #65010	C₂²	semidirect
199. #65005	C₂²	semidirect
202. #64992	C₂²	semidirect
497. #3320	D₅	semidirect
569. Q₈×D₅	#41	semidirect
805. #491	C₂×D₅	semidirect
817. #485	C₂×D₅	semidirect
821. #484	C₂×D₅	semidirect
829. #479	C₂×D₅	semidirect
841. #468	C₂×D₅	semidirect
849. #465	C₂×D₅	semidirect
857. #461	C₂×D₅	semidirect
872. #448	C₂×D₅	semidirect
873. #448	C₂×D₅	semidirect
877. #440	C₂×D₅	semidirect
910. #419	C₂×D₅	semidirect
919. C₂×#103	C₂×D₅	semidirect
972. C₂²⋊D₅	#137	semidirect
1736. C₅	#61157	semidirect

Maximal subgroups

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

subgroup	index
#10618775	2
D₄×Q₈×D₅	2
C₅×#3320	2
#10615351	2
#10615283	2
#10613480	2
#10613470	2
#10613285	2
#10613248	2
#10613221	2
#10613200	2
#10612979	2
#10612961	2
#10612577	2
#10612537	2
#10612420	2
#10612389	2
#10612184	2
#10612160	2
#10611787	2
#10611780	2
#10611770	2
#10611535	2
#10611505	2
#10611242	2
#10611214	2
#10610703	2
D₅×#419	2
#10610537	2
C₂×#65091	2
#61157	5