Subgroups — D₅×#5696 #14481295

Order 1920.

2008 conjugacy classes of subgroups.

The subgroup lattice has 1804 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#11756455	C₂	1	1	yes	maximal, characteristic, complemented
2	C₅×#5696	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×D₅×#125	C₂	1	1	yes	maximal, characteristic, complemented
4	D₅×#898	C₂	1	1	yes	maximal, characteristic
5	D₅×#898	C₂	1	1	yes	maximal, characteristic
6	D₅×#898	C₂	1	1	yes	maximal, characteristic
7	D₅×#896	C₂	1	1	yes	maximal, characteristic
8	D₅×#896	C₂	1	1	yes	maximal, characteristic
9	D₅×#892	C₂	1	1	yes	maximal, characteristic
10	#11753831	C₂	1	1	yes	maximal, characteristic, complemented
11	#11753830	C₂	1	1	yes	maximal, characteristic, complemented
12	#11753635	C₂	1	1	yes	maximal, characteristic, complemented
13	#11753609	C₂	1	1	yes	maximal, characteristic, complemented
14	D₅×#890	C₂	1	1	yes	maximal, characteristic, complemented
15	D₅×#889	C₂	1	1	yes	maximal, characteristic, complemented
16	D₅×#889	C₂	1	1	yes	maximal, characteristic, complemented
17	D₅×#889	C₂	1	1	yes	maximal, characteristic, complemented
18	D₅×#888	C₂	1	1	yes	maximal, characteristic, complemented
19	D₅×#887	C₂	1	1	yes	maximal, characteristic, complemented
20	#11753385	C₂	1	1	yes	maximal, characteristic, complemented
21	#11753328	C₂	1	1	yes	maximal, characteristic, complemented
22	#11753327	C₂	1	1	yes	maximal, characteristic, complemented
23	#11753324	C₂	1	1	yes	maximal, characteristic, complemented
24	#11753322	C₂	1	1	yes	maximal, characteristic, complemented
25	#11753320	C₂	1	1	yes	maximal, characteristic, complemented
26	#11753319	C₂	1	1	yes	maximal, characteristic, complemented
27	#11753316	C₂	1	1	yes	maximal, characteristic, complemented
28	D₅×#876	C₂	1	1	yes	maximal, characteristic
29	#11752629	C₂	1	1	yes	maximal, characteristic, complemented
30	#11752614	C₂	1	1	yes	maximal, characteristic, complemented
31	C₄×D₅×Dic₆	C₂	1	1	yes	maximal, characteristic, complemented
32	D₅×#541	—	3	1	no	maximal, Hall
33	C₂×C₄×D₃×D₅	C₂²	1	1	yes	characteristic
34	C₂×D₅×Dic₆	C₂²	1	1	yes	characteristic
35	C₂×D₅×Dic₆	C₂²	1	1	yes	characteristic
36	C₃×C₅×#125	C₂²	1	1	yes	characteristic, complemented
37	#91787	C₂²	1	1	yes	characteristic
38	#91787	C₂²	1	1	yes	characteristic
39	#91787	C₂²	1	1	yes	characteristic
40	#91785	C₂²	1	1	yes	characteristic
41	#91785	C₂²	1	1	yes	characteristic
42	#91781	C₂²	1	1	yes	characteristic
43	#91779	C₂²	1	1	yes	characteristic, complemented
44	#91778	C₂²	1	1	yes	characteristic, complemented
45	#91778	C₂²	1	1	yes	characteristic, complemented
46	#91778	C₂²	1	1	yes	characteristic, complemented
47	#91777	C₂²	1	1	yes	characteristic, complemented
48	#91776	C₂²	1	1	yes	characteristic, complemented
49	#91765	C₂²	1	1	yes	characteristic
50	C₄×Dic₃₀	C₂²	1	1	yes	characteristic, complemented
51	C₅×#898	C₂²	1	1	yes	characteristic
52	C₅×#898	C₂²	1	1	yes	characteristic
53	C₅×#898	C₂²	1	1	yes	characteristic
54	C₅×#896	C₂²	1	1	yes	characteristic
55	C₅×#896	C₂²	1	1	yes	characteristic
56	C₅×#892	C₂²	1	1	yes	characteristic
57	C₅×#890	C₂²	1	1	yes	characteristic, complemented
58	C₅×#889	C₂²	1	1	yes	characteristic, complemented
59	C₅×#889	C₂²	1	1	yes	characteristic, complemented
60	C₅×#889	C₂²	1	1	yes	characteristic, complemented
61	C₅×#888	C₂²	1	1	yes	characteristic, complemented
62	C₅×#887	C₂²	1	1	yes	characteristic, complemented
63	C₅×#876	C₂²	1	1	yes	characteristic
64	C₄×C₅×Dic₆	C₂²	1	1	yes	characteristic, complemented
65	C₃×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
66	C₃×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
67	C₃×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
68	C₃×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
69	C₃×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
70	C₃×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
71	C₃×#4036	C₂²	1	1	yes	characteristic, complemented
72	C₃×#4036	C₂²	1	1	yes	characteristic, complemented
73	C₃×#4035	C₂²	1	1	yes	characteristic, complemented
74	C₃×#4035	C₂²	1	1	yes	characteristic, complemented
75	C₃×#4035	C₂²	1	1	yes	characteristic, complemented
76	C₃×#4035	C₂²	1	1	yes	characteristic, complemented
77	C₃×C₄²×D₅	C₂²	1	1	yes	characteristic
78	C₃×#4016	C₂²	1	1	yes	characteristic, complemented
79	D₅×(C₂×D₃)⋊C₄	C₂²	1	1	yes	characteristic
80	D₅×(C₂×D₃)⋊C₄	C₂²	1	1	yes	characteristic
81	D₅×(C₂×D₃)⋊C₄	C₂²	1	1	yes	characteristic
82	D₅×(C₂×D₃)⋊C₄	C₂²	1	1	yes	characteristic
83	D₅×(C₂×D₃)⋊C₄	C₂²	1	1	yes	characteristic
84	D₅×(C₂×D₃)⋊C₄	C₂²	1	1	yes	characteristic
85	#91470	C₂²	1	1	yes	characteristic, complemented
86	#91469	C₂²	1	1	yes	characteristic, complemented
87	C₄×#1204	C₂²	1	1	yes	characteristic, complemented
88	C₄×#1204	C₂²	1	1	yes	characteristic, complemented
89	#91436	C₂²	1	1	yes	characteristic
90	#91436	C₂²	1	1	yes	characteristic
91	#91432	C₂²	1	1	yes	characteristic
92	#91432	C₂²	1	1	yes	characteristic
93	#91429	C₂²	1	1	yes	characteristic
94	#91429	C₂²	1	1	yes	characteristic
95	#91424	C₂²	1	1	yes	characteristic
96	#91424	C₂²	1	1	yes	characteristic
97	D₅×C₄⋊Dic₃	C₂²	1	1	yes	characteristic
98	D₅×C₄⋊Dic₃	C₂²	1	1	yes	characteristic
99	D₅×C₄⋊Dic₃	C₂²	1	1	yes	characteristic
100	D₅×C₄⋊Dic₃	C₂²	1	1	yes	characteristic
101	#91403	C₂²	1	1	yes	characteristic
102	#91403	C₂²	1	1	yes	characteristic
103	#91400	C₂²	1	1	yes	characteristic
104	#91400	C₂²	1	1	yes	characteristic
105	D₅×Dic₃⋊C₄	C₂²	1	1	yes	characteristic
106	D₅×Dic₃⋊C₄	C₂²	1	1	yes	characteristic
107	D₅×Dic₃⋊C₄	C₂²	1	1	yes	characteristic
108	D₅×Dic₃⋊C₄	C₂²	1	1	yes	characteristic
109	D₅×Dic₃⋊C₄	C₂²	1	1	yes	characteristic
110	D₅×Dic₃⋊C₄	C₂²	1	1	yes	characteristic
111	D₅×Dic₃⋊C₄	C₂²	1	1	yes	characteristic
112	D₅×Dic₃⋊C₄	C₂²	1	1	yes	characteristic
113	D₅×Dic₃⋊C₄	C₂²	1	1	yes	characteristic
114	D₅×Dic₃⋊C₄	C₂²	1	1	yes	characteristic
115	C₄×D₅×Dic₃	C₂²	1	1	yes	characteristic
116	C₄×D₅×Dic₃	C₂²	1	1	yes	characteristic
117	C₄×D₅×Dic₃	C₂²	1	1	yes	characteristic
118	C₄×D₅×Dic₃	C₂²	1	1	yes	characteristic
119	C₄×D₅×Dic₃	C₂²	1	1	yes	characteristic
120	#91387	C₂²	1	1	yes	characteristic
121	#91387	C₂²	1	1	yes	characteristic
122	#91387	C₂²	1	1	yes	characteristic
123	#91384	C₂²	1	1	yes	characteristic, complemented
124	#91382	C₂²	1	1	yes	characteristic, complemented
125	#91382	C₂²	1	1	yes	characteristic, complemented
126	#91382	C₂²	1	1	yes	characteristic, complemented
127	#91381	C₂²	1	1	yes	characteristic, complemented
128	#91380	C₂²	1	1	yes	characteristic
129	#91380	C₂²	1	1	yes	characteristic
130	#91380	C₂²	1	1	yes	characteristic
131	#91379	C₂²	1	1	yes	characteristic, complemented
132	#91379	C₂²	1	1	yes	characteristic, complemented
133	#91379	C₂²	1	1	yes	characteristic, complemented
134	#91377	C₂²	1	1	yes	characteristic
135	#91377	C₂²	1	1	yes	characteristic
136	#91372	C₂²	1	1	yes	characteristic
137	#91372	C₂²	1	1	yes	characteristic
138	#91372	C₂²	1	1	yes	characteristic
139	#91367	C₂²	1	1	yes	characteristic
140	#91367	C₂²	1	1	yes	characteristic
141	#91367	C₂²	1	1	yes	characteristic
142	#91352	C₂²	1	1	yes	characteristic
143	#91352	C₂²	1	1	yes	characteristic
144	#91347	C₂²	1	1	yes	characteristic
145	#91346	C₂²	1	1	yes	characteristic, complemented
146	#91346	C₂²	1	1	yes	characteristic, complemented
147	#91346	C₂²	1	1	yes	characteristic, complemented
148	#91345	C₂²	1	1	yes	characteristic
149	#91345	C₂²	1	1	yes	characteristic
150	#91345	C₂²	1	1	yes	characteristic
151	#91344	C₂²	1	1	yes	characteristic, complemented
152	#91343	C₂²	1	1	yes	characteristic, complemented
153	#91343	C₂²	1	1	yes	characteristic, complemented
154	#91343	C₂²	1	1	yes	characteristic, complemented
155	#91342	C₂²	1	1	yes	characteristic
156	#91342	C₂²	1	1	yes	characteristic
157	#91342	C₂²	1	1	yes	characteristic
158	#91341	C₂²	1	1	yes	characteristic
159	#91341	C₂²	1	1	yes	characteristic
160	#91341	C₂²	1	1	yes	characteristic
161	#91340	C₂²	1	1	yes	characteristic, complemented
162	#91339	C₂²	1	1	yes	characteristic, complemented
163	#91339	C₂²	1	1	yes	characteristic, complemented
164	#91339	C₂²	1	1	yes	characteristic, complemented
165	#91338	C₂²	1	1	yes	characteristic
166	#91337	C₂²	1	1	yes	characteristic
167	#91337	C₂²	1	1	yes	characteristic
168	#91337	C₂²	1	1	yes	characteristic
169	#91336	C₂²	1	1	yes	characteristic, complemented
170	#91336	C₂²	1	1	yes	characteristic, complemented
171	#91336	C₂²	1	1	yes	characteristic, complemented
172	#91335	C₂²	1	1	yes	characteristic, complemented
173	#91335	C₂²	1	1	yes	characteristic, complemented
174	#91334	C₂²	1	1	yes	characteristic, complemented
175	#91334	C₂²	1	1	yes	characteristic, complemented
176	#91333	C₂²	1	1	yes	characteristic, complemented
177	Dic₅×Dic₆	C₂²	1	1	yes	characteristic, complemented
178	#91329	C₂²	1	1	yes	characteristic, complemented
179	#91329	C₂²	1	1	yes	characteristic, complemented
180	#91328	C₂²	1	1	yes	characteristic, complemented
181	#91328	C₂²	1	1	yes	characteristic, complemented
182	#91325	C₂²	1	1	yes	characteristic, complemented
183	#91325	C₂²	1	1	yes	characteristic, complemented
184	#91324	C₂²	1	1	yes	characteristic, complemented
185	#91324	C₂²	1	1	yes	characteristic, complemented
186	#91323	C₂²	1	1	yes	characteristic, complemented
187	#91323	C₂²	1	1	yes	characteristic, complemented
188	C₂×#5696	—	5	1	no	maximal, Hall
189	C₅×#541	—	3	1	no	—
190	#66065	—	3	1	no	—
191	D₅×C₄⋊Q₈	—	3	1	no	—
192	D₅×#126	—	3	1	no	—
193	D₅×#126	—	3	1	no	—
194	D₅×#126	—	3	1	no	—
195	D₅×#126	—	3	1	no	—
196	#66035	—	3	1	no	—
197	#66035	—	3	1	no	—
198	#66035	—	3	1	no	—
199	#66035	—	3	1	no	—
200	#66031	—	3	1	no	—
201	#66030	—	3	1	no	—
202	#66030	—	3	1	no	—
203	#66030	—	3	1	no	—
204	#66030	—	3	1	no	—
205	D₅×#125	—	3	1	no	—
206	D₅×#125	—	3	1	no	—
207	D₅×#125	—	3	1	no	—
208	D₅×#125	—	3	1	no	—
209	D₅×#125	D₃	1	1	yes	characteristic, complemented
210	D₅×C₂²⋊Q₈	—	3	1	no	—
211	D₅×C₂²⋊Q₈	—	3	1	no	—
212	#65959	—	3	1	no	—
213	#65959	—	3	1	no	—
214	#65917	—	3	1	no	—
215	#65917	—	3	1	no	—
216	C₄×Q₈×D₅	—	3	1	no	—
217	C₄×Q₈×D₅	—	3	1	no	—
218	D₅×#117	—	3	1	no	—
219	#65852	—	3	1	no	—
220	C₂²×D₃×D₅	C₂³	1	1	yes	characteristic
221	C₂×C₄×D₁₅	C₂³	1	1	yes	characteristic
222	C₂×Dic₃₀	C₂³	1	1	yes	characteristic
223	C₂×Dic₃₀	C₂³	1	1	yes	characteristic
224	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic
225	C₂×C₅×Dic₆	C₂³	1	1	yes	characteristic
226	C₂×C₅×Dic₆	C₂³	1	1	yes	characteristic
227	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic
228	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic
229	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic
230	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic
231	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic
232	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic
233	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic
234	C₂×#1204	C₂³	1	1	yes	characteristic
235	C₂×#1204	C₂³	1	1	yes	characteristic
236	C₂×#1204	C₂³	1	1	yes	characteristic
237	C₂×#1204	C₂³	1	1	yes	characteristic
238	C₂×#1200	C₂³	1	1	yes	characteristic
239	C₂×D₃×Dic₅	C₂³	1	1	yes	characteristic
240	C₂×D₅×Dic₃	C₂³	1	1	yes	characteristic
241	C₂×D₅×Dic₃	C₂³	1	1	yes	characteristic
242	C₂×D₅×Dic₃	C₂³	1	1	yes	characteristic
243	C₂×D₅×Dic₃	C₂³	1	1	yes	characteristic
244	C₂×D₅×Dic₃	C₂³	1	1	yes	characteristic
245	C₂×D₅×Dic₃	C₂³	1	1	yes	characteristic
246	C₂×D₅×Dic₃	C₂³	1	1	yes	characteristic
247	C₄×D₃×D₅	—	2	4	no	—
248	D₅×Dic₆	—	2	4	no	—
249	D₅×Dic₆	—	2	4	no	—
250	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
251	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
252	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
253	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
254	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
255	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
256	C₃×C₄²×C₅	C₂³	1	1	yes	characteristic
257	#6714	C₂³	1	1	yes	characteristic
258	#6714	C₂³	1	1	yes	characteristic
259	#6714	C₂³	1	1	yes	characteristic
260	#6714	C₂³	1	1	yes	characteristic
261	#6714	C₂³	1	1	yes	characteristic
262	#6714	C₂³	1	1	yes	characteristic
263	C₄⋊Dic₁₅	C₂³	1	1	yes	characteristic
264	C₄⋊Dic₁₅	C₂³	1	1	yes	characteristic
265	C₄⋊Dic₁₅	C₂³	1	1	yes	characteristic
266	C₄⋊Dic₁₅	C₂³	1	1	yes	characteristic
267	#6712	C₂³	1	1	yes	characteristic
268	#6712	C₂³	1	1	yes	characteristic
269	#6712	C₂³	1	1	yes	characteristic
270	#6712	C₂³	1	1	yes	characteristic
271	#6712	C₂³	1	1	yes	characteristic
272	#6712	C₂³	1	1	yes	characteristic
273	#6712	C₂³	1	1	yes	characteristic
274	#6712	C₂³	1	1	yes	characteristic
275	#6712	C₂³	1	1	yes	characteristic
276	#6712	C₂³	1	1	yes	characteristic
277	C₄×Dic₁₅	C₂³	1	1	yes	characteristic
278	C₄×Dic₁₅	C₂³	1	1	yes	characteristic
279	C₄×Dic₁₅	C₂³	1	1	yes	characteristic
280	C₄×Dic₁₅	C₂³	1	1	yes	characteristic
281	C₄×Dic₁₅	C₂³	1	1	yes	characteristic
282	C₅×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
283	C₅×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
284	C₅×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
285	C₅×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
286	C₅×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
287	C₅×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
288	C₅×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
289	C₅×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
290	C₅×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
291	C₅×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
292	C₅×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
293	C₅×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
294	C₅×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
295	C₅×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
296	C₅×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
297	C₅×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
298	C₅×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
299	C₅×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
300	C₅×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
301	C₅×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
302	C₄×C₅×Dic₃	C₂³	1	1	yes	characteristic
303	C₄×C₅×Dic₃	C₂³	1	1	yes	characteristic
304	C₄×C₅×Dic₃	C₂³	1	1	yes	characteristic
305	C₄×C₅×Dic₃	C₂³	1	1	yes	characteristic
306	C₄×C₅×Dic₃	C₂³	1	1	yes	characteristic
307	C₃×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
308	C₃×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
309	C₃×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
310	C₃×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
311	C₃×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
312	C₃×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
313	C₃×#683	C₂³	1	1	yes	characteristic
314	C₃×#683	C₂³	1	1	yes	characteristic
315	C₃×#683	C₂³	1	1	yes	characteristic
316	C₃×#683	C₂³	1	1	yes	characteristic
317	C₃×#683	C₂³	1	1	yes	characteristic
318	C₃×#683	C₂³	1	1	yes	characteristic
319	C₃×#683	C₂³	1	1	yes	characteristic
320	C₃×#683	C₂³	1	1	yes	characteristic
321	C₃×#683	C₂³	1	1	yes	characteristic
322	C₃×#683	C₂³	1	1	yes	characteristic
323	C₃×#683	C₂³	1	1	yes	characteristic
324	C₃×#683	C₂³	1	1	yes	characteristic
325	C₃×C₄×Dic₅	C₂³	1	1	yes	characteristic
326	C₃×C₄×Dic₅	C₂³	1	1	yes	characteristic
327	C₃×C₄×Dic₅	C₂³	1	1	yes	characteristic
328	Dic₃⋊Dic₅	C₂³	1	1	yes	characteristic
329	Dic₃⋊Dic₅	C₂³	1	1	yes	characteristic
330	Dic₃⋊Dic₅	C₂³	1	1	yes	characteristic
331	Dic₃⋊Dic₅	C₂³	1	1	yes	characteristic
332	Dic₃⋊Dic₅	C₂³	1	1	yes	characteristic
333	Dic₃⋊Dic₅	C₂³	1	1	yes	characteristic
334	Dic₃⋊Dic₅	C₂³	1	1	yes	characteristic
335	Dic₃⋊Dic₅	C₂³	1	1	yes	characteristic
336	Dic₃⋊Dic₅	C₂³	1	1	yes	characteristic
337	Dic₃⋊Dic₅	C₂³	1	1	yes	characteristic
338	#6669	C₂³	1	1	yes	characteristic
339	#6669	C₂³	1	1	yes	characteristic
340	#6669	C₂³	1	1	yes	characteristic
341	#6669	C₂³	1	1	yes	characteristic
342	#6669	C₂³	1	1	yes	characteristic
343	#6669	C₂³	1	1	yes	characteristic
344	#6669	C₂³	1	1	yes	characteristic
345	#6669	C₂³	1	1	yes	characteristic
346	#6669	C₂³	1	1	yes	characteristic
347	#6669	C₂³	1	1	yes	characteristic
348	#6668	C₂³	1	1	yes	characteristic
349	#6668	C₂³	1	1	yes	characteristic
350	#6668	C₂³	1	1	yes	characteristic
351	#6668	C₂³	1	1	yes	characteristic
352	#6668	C₂³	1	1	yes	characteristic
353	#6668	C₂³	1	1	yes	characteristic
354	#6668	C₂³	1	1	yes	characteristic
355	#6668	C₂³	1	1	yes	characteristic
356	#6667	C₂³	1	1	yes	characteristic
357	#6667	C₂³	1	1	yes	characteristic
358	#6667	C₂³	1	1	yes	characteristic
359	#6667	C₂³	1	1	yes	characteristic
360	#6667	C₂³	1	1	yes	characteristic
361	#6667	C₂³	1	1	yes	characteristic
362	(C₂×D₃)⋊Dic₅	C₂³	1	1	yes	characteristic
363	(C₂×D₃)⋊Dic₅	C₂³	1	1	yes	characteristic
364	(C₂×D₃)⋊Dic₅	C₂³	1	1	yes	characteristic
365	(C₂×D₃)⋊Dic₅	C₂³	1	1	yes	characteristic
366	(C₂×D₃)⋊Dic₅	C₂³	1	1	yes	characteristic
367	(C₂×D₃)⋊Dic₅	C₂³	1	1	yes	characteristic
368	Dic₃×Dic₅	C₂³	1	1	yes	characteristic
369	Dic₃×Dic₅	C₂³	1	1	yes	characteristic
370	Dic₃×Dic₅	C₂³	1	1	yes	characteristic
371	Dic₃×Dic₅	C₂³	1	1	yes	characteristic
372	Dic₃×Dic₅	C₂³	1	1	yes	characteristic
373	Dic₃×Dic₅	C₂³	1	1	yes	characteristic
374	Dic₃×Dic₅	C₂³	1	1	yes	characteristic
375	Dic₃×Dic₅	C₂³	1	1	yes	characteristic
376	Dic₃×Dic₅	C₂³	1	1	yes	characteristic
377	Dic₃×Dic₅	C₂³	1	1	yes	characteristic
378	C₂×C₃×#125	—	5	1	no	—
379	#5696	—	5	1	no	—
380	#5696	—	5	1	no	—
381	#5696	—	5	1	no	—
382	#5696	—	5	1	no	—
383	#5696	—	5	1	no	—
384	#5696	—	5	1	no	—
385	#5696	—	5	1	no	—
386	#5696	—	5	1	no	—
387	#5696	—	5	1	no	—
388	#5696	—	5	1	no	—
389	#5696	—	5	1	no	—
390	#5696	—	5	1	no	—
391	#5696	—	5	1	no	—
392	#5696	—	5	1	no	—
393	#5696	—	5	1	no	—
394	#5696	D₅	1	1	yes	characteristic, direct product factor
395	C₂×#898	—	5	1	no	—
396	C₂×#898	—	5	1	no	—
397	C₂×#898	—	5	1	no	—
398	C₂×#896	—	5	1	no	—
399	C₂×#896	—	5	1	no	—
400	C₂×#892	—	5	1	no	—
401	C₂×#890	—	5	1	no	—
402	C₂×#889	—	5	1	no	—
403	C₂×#889	—	5	1	no	—
404	C₂×#889	—	5	1	no	—
405	C₂×#888	—	5	1	no	—
406	C₂×#887	—	5	1	no	—
407	C₂×#876	—	5	1	no	—
408	C₂×C₄×Dic₆	—	5	1	no	—
409	C₂×Q₈×D₅	—	3	1	no	—
410	C₂×Q₈×D₅	—	3	1	no	—
411	C₂²×C₄×D₅	—	3	1	no	—
412	C₅×C₄⋊Q₈	—	3	1	no	—
413	C₅×#126	—	3	1	no	—
414	C₅×#126	—	3	1	no	—
415	C₅×#126	—	3	1	no	—
416	C₅×#126	—	3	1	no	—
417	C₅×#125	—	3	1	no	—
418	C₅×#125	—	3	1	no	—
419	C₅×#125	—	3	1	no	—
420	C₅×#125	—	3	1	no	—
421	C₅×#125	C₂×D₃	1	1	yes	characteristic, complemented
422	C₅×C₂²⋊Q₈	—	3	1	no	—
423	C₅×C₂²⋊Q₈	—	3	1	no	—
424	C₄×C₅×Q₈	—	3	1	no	—
425	C₄×C₅×Q₈	—	3	1	no	—
426	C₅×#117	—	3	1	no	—
427	#4092	—	3	1	no	—
428	#4092	—	3	1	no	—
429	Q₈×Dic₅	—	3	1	no	—
430	Q₈×Dic₅	—	3	1	no	—
431	#4090	—	3	1	no	—
432	#4090	—	3	1	no	—
433	#4072	—	3	1	no	—
434	#4070	—	3	1	no	—
435	#4070	—	3	1	no	—
436	#4044	—	3	1	no	—
437	#4044	—	3	1	no	—
438	#4044	—	3	1	no	—
439	#4044	—	3	1	no	—
440	#4044	—	3	1	no	—
441	#4044	—	3	1	no	—
442	#4044	—	3	1	no	—
443	#4044	—	3	1	no	—
444	#4044	—	3	1	no	—
445	#4044	—	3	1	no	—
446	#4044	—	3	1	no	—
447	#4044	—	3	1	no	—
448	#4043	—	3	1	no	—
449	#4043	—	3	1	no	—
450	#4042	—	3	1	no	—
451	#4042	—	3	1	no	—
452	#4042	—	3	1	no	—
453	#4042	—	3	1	no	—
454	#4038	—	3	1	no	—
455	#4038	—	3	1	no	—
456	D₅×C₄⋊C₄	—	3	1	no	—
457	D₅×C₄⋊C₄	—	3	1	no	—
458	D₅×C₄⋊C₄	—	3	1	no	—
459	D₅×C₄⋊C₄	—	3	1	no	—
460	D₅×C₄⋊C₄	—	3	1	no	—
461	D₅×C₄⋊C₄	—	3	1	no	—
462	D₅×C₄⋊C₄	—	3	1	no	—
463	D₅×C₄⋊C₄	—	3	1	no	—
464	D₅×C₄⋊C₄	—	3	1	no	—
465	D₅×C₄⋊C₄	—	3	1	no	—
466	D₅×C₄⋊C₄	—	3	1	no	—
467	D₅×C₄⋊C₄	—	3	1	no	—
468	D₅×C₄⋊C₄	—	3	1	no	—
469	D₅×C₄⋊C₄	—	3	1	no	—
470	D₅×C₄⋊C₄	C₂×D₃	1	1	yes	characteristic
471	D₅×C₄⋊C₄	C₂×D₃	1	1	yes	characteristic
472	D₅×C₄⋊C₄	C₂×D₃	1	1	yes	characteristic
473	D₅×C₄⋊C₄	C₂×D₃	1	1	yes	characteristic
474	D₅×C₄⋊C₄	C₂×D₃	1	1	yes	characteristic
475	D₅×C₄⋊C₄	C₂×D₃	1	1	yes	characteristic
476	#4036	—	3	1	no	—
477	#4036	—	3	1	no	—
478	#4036	—	3	1	no	—
479	#4036	—	3	1	no	—
480	#4036	—	3	1	no	—
481	#4036	—	3	1	no	—
482	#4036	—	3	1	no	—
483	#4036	—	3	1	no	—
484	#4036	C₂×D₃	1	1	yes	characteristic, complemented
485	#4036	C₂×D₃	1	1	yes	characteristic, complemented
486	#4035	—	3	1	no	—
487	#4035	—	3	1	no	—
488	#4035	—	3	1	no	—
489	#4035	—	3	1	no	—
490	#4035	—	3	1	no	—
491	#4035	—	3	1	no	—
492	#4035	—	3	1	no	—
493	#4035	—	3	1	no	—
494	#4035	—	3	1	no	—
495	#4035	—	3	1	no	—
496	#4035	—	3	1	no	—
497	#4035	—	3	1	no	—
498	#4035	—	3	1	no	—
499	#4035	—	3	1	no	—
500	#4035	—	3	1	no	—
501	#4035	—	3	1	no	—
502	#4035	C₂×D₃	1	1	yes	characteristic, complemented
503	#4035	C₂×D₃	1	1	yes	characteristic, complemented
504	#4035	C₂×D₃	1	1	yes	characteristic, complemented
505	#4035	C₂×D₃	1	1	yes	characteristic, complemented
506	#4034	—	3	1	no	—
507	#4034	—	3	1	no	—
508	#4034	—	3	1	no	—
509	#4034	—	3	1	no	—
510	#4033	—	3	1	no	—
511	#4033	—	3	1	no	—
512	#4033	—	3	1	no	—
513	#4033	—	3	1	no	—
514	#4033	—	3	1	no	—
515	#4033	—	3	1	no	—
516	D₅×C₂²⋊C₄	—	3	1	no	—
517	D₅×C₂²⋊C₄	—	3	1	no	—
518	D₅×C₂²⋊C₄	—	3	1	no	—
519	D₅×C₂²⋊C₄	—	3	1	no	—
520	D₅×C₂²⋊C₄	—	3	1	no	—
521	D₅×C₂²⋊C₄	—	3	1	no	—
522	#4025	—	3	1	no	—
523	#4025	—	3	1	no	—
524	#4025	—	3	1	no	—
525	#4025	—	3	1	no	—
526	#4025	—	3	1	no	—
527	#4025	—	3	1	no	—
528	#4025	—	3	1	no	—
529	#4025	—	3	1	no	—
530	#4025	—	3	1	no	—
531	#4025	—	3	1	no	—
532	#4025	—	3	1	no	—
533	#4025	—	3	1	no	—
534	#4024	—	3	1	no	—
535	#4024	—	3	1	no	—
536	#4024	—	3	1	no	—
537	#4024	—	3	1	no	—
538	#4023	—	3	1	no	—
539	#4023	—	3	1	no	—
540	#4022	—	3	1	no	—
541	#4022	—	3	1	no	—
542	#4022	—	3	1	no	—
543	#4022	—	3	1	no	—
544	#4018	—	3	1	no	—
545	#4018	—	3	1	no	—
546	C₄²×D₅	—	3	1	no	—
547	C₄²×D₅	—	3	1	no	—
548	C₄²×D₅	—	3	1	no	—
549	C₄²×D₅	—	3	1	no	—
550	C₄²×D₅	—	3	1	no	—
551	C₄²×D₅	C₂×D₃	1	1	yes	characteristic
552	#4016	—	3	1	no	—
553	#4016	—	3	1	no	—
554	#4016	—	3	1	no	—
555	#4016	—	3	1	no	—
556	#4016	C₂×D₃	1	1	yes	characteristic, complemented
557	#4015	—	3	1	no	—
558	C₄×Dic₁₀	—	3	1	no	—
559	C₄×Dic₁₀	—	3	1	no	—
560	C₄×Dic₁₀	—	3	1	no	—
561	C₄×Dic₁₀	—	3	1	no	—
562	C₄×Dic₁₀	—	3	1	no	—
563	C₄×Dic₁₀	—	3	1	no	—
564	C₂×#541	—	15	1	no	Sylow
565	C₂²×D₁₅	C₂⁴	1	1	yes	characteristic
566	C₂²×C₅×D₃	C₂⁴	1	1	yes	characteristic
567	C₂²×C₃×D₅	C₂⁴	1	1	yes	characteristic
568	C₂×D₃×D₅	—	2	2	no	—
569	C₂×D₃×D₅	—	2	2	no	—
570	C₂×D₃×D₅	—	2	2	no	—
571	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
572	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
573	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
574	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
575	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
576	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
577	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
578	C₂×Dic₁₅	C₂⁴	1	1	yes	characteristic
579	C₂×Dic₁₅	C₂⁴	1	1	yes	characteristic
580	C₂×Dic₁₅	C₂⁴	1	1	yes	characteristic
581	C₂×Dic₁₅	C₂⁴	1	1	yes	characteristic
582	C₂×Dic₁₅	C₂⁴	1	1	yes	characteristic
583	C₂×Dic₁₅	C₂⁴	1	1	yes	characteristic
584	C₂×Dic₁₅	C₂⁴	1	1	yes	characteristic
585	C₄×D₁₅	—	2	2	no	—
586	Dic₃₀	—	2	2	no	—
587	Dic₃₀	—	2	2	no	—
588	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
589	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
590	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
591	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
592	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
593	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
594	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
595	C₄×C₅×D₃	—	2	2	no	—
596	C₅×Dic₆	—	2	2	no	—
597	C₅×Dic₆	—	2	2	no	—
598	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
599	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
600	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
601	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
602	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
603	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
604	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
605	C₃×C₄×D₅	—	2	2	no	—
606	C₃×C₄×D₅	—	2	2	no	—
607	C₃×C₄×D₅	—	2	2	no	—
608	C₃×C₄×D₅	—	2	2	no	—
609	C₃×C₄×D₅	—	2	2	no	—
610	C₃×C₄×D₅	—	2	2	no	—
611	C₃×C₄×D₅	—	2	2	no	—
612	#1204	—	2	2	no	—
613	#1204	—	2	2	no	—
614	#1204	—	2	2	no	—
615	#1204	—	2	2	no	—
616	#1200	—	2	2	no	—
617	D₃×Dic₅	—	2	2	no	—
618	D₅×Dic₃	—	2	2	no	—
619	D₅×Dic₃	—	2	2	no	—
620	D₅×Dic₃	—	2	2	no	—
621	D₅×Dic₃	—	2	2	no	—
622	D₅×Dic₃	—	2	2	no	—
623	D₅×Dic₃	—	2	2	no	—
624	D₅×Dic₃	#41	1	4	yes	—
625	C₂²×C₄×D₃	—	5	1	no	—
626	C₂²×Dic₆	—	5	1	no	—
627	C₂²×Dic₆	—	5	1	no	—
628	C₃×#125	—	5	1	no	—
629	C₃×#125	—	5	1	no	—
630	C₃×#125	—	5	1	no	—
631	C₃×#125	—	5	1	no	—
632	C₃×#125	—	5	1	no	—
633	C₃×#125	—	5	1	no	—
634	C₃×#125	—	5	1	no	—
635	C₃×#125	C₂×D₅	1	1	yes	characteristic, complemented
636	C₂×C₃×C₄⋊C₄	—	5	1	no	—
637	C₂×C₃×C₄⋊C₄	—	5	1	no	—
638	C₂×C₃×C₄⋊C₄	—	5	1	no	—
639	C₂×C₃×C₄⋊C₄	—	5	1	no	—
640	C₂×C₃×C₄⋊C₄	—	5	1	no	—
641	C₂×C₃×C₄⋊C₄	—	5	1	no	—
642	C₂×C₃×C₄²	—	5	1	no	—
643	C₂×(C₂×D₃)⋊C₄	—	5	1	no	—
644	C₂×(C₂×D₃)⋊C₄	—	5	1	no	—
645	C₂×(C₂×D₃)⋊C₄	—	5	1	no	—
646	C₂×(C₂×D₃)⋊C₄	—	5	1	no	—
647	C₂×(C₂×D₃)⋊C₄	—	5	1	no	—
648	C₂×(C₂×D₃)⋊C₄	—	5	1	no	—
649	C₂×C₄⋊Dic₃	—	5	1	no	—
650	C₂×C₄⋊Dic₃	—	5	1	no	—
651	C₂×C₄⋊Dic₃	—	5	1	no	—
652	C₂×C₄⋊Dic₃	—	5	1	no	—
653	C₂×Dic₃⋊C₄	—	5	1	no	—
654	C₂×Dic₃⋊C₄	—	5	1	no	—
655	C₂×Dic₃⋊C₄	—	5	1	no	—
656	C₂×Dic₃⋊C₄	—	5	1	no	—
657	C₂×Dic₃⋊C₄	—	5	1	no	—
658	C₂×Dic₃⋊C₄	—	5	1	no	—
659	C₂×Dic₃⋊C₄	—	5	1	no	—
660	C₂×Dic₃⋊C₄	—	5	1	no	—
661	C₂×Dic₃⋊C₄	—	5	1	no	—
662	C₂×Dic₃⋊C₄	—	5	1	no	—
663	C₂×C₄×Dic₃	—	5	1	no	—
664	C₂×C₄×Dic₃	—	5	1	no	—
665	C₂×C₄×Dic₃	—	5	1	no	—
666	C₂×C₄×Dic₃	—	5	1	no	—
667	C₂×C₄×Dic₃	—	5	1	no	—
668	#898	—	5	1	no	—
669	#898	—	5	1	no	—
670	#898	—	5	1	no	—
671	#898	—	5	1	no	—
672	#898	—	5	1	no	—
673	#898	—	5	1	no	—
674	#898	—	5	1	no	—
675	#898	—	5	1	no	—
676	#898	—	5	1	no	—
677	#898	—	5	1	no	—
678	#898	—	5	1	no	—
679	#898	—	5	1	no	—
680	#898	—	5	1	no	—
681	#898	—	5	1	no	—
682	#898	—	5	1	no	—
683	#898	—	5	1	no	—
684	#898	—	5	1	no	—
685	#898	—	5	1	no	—
686	#898	—	5	1	no	—
687	#898	—	5	1	no	—
688	#898	—	5	1	no	—
689	#898	C₂×D₅	1	1	yes	characteristic
690	#898	C₂×D₅	1	1	yes	characteristic
691	#898	C₂×D₅	1	1	yes	characteristic
692	#896	—	5	1	no	—
693	#896	—	5	1	no	—
694	#896	—	5	1	no	—
695	#896	—	5	1	no	—
696	#896	—	5	1	no	—
697	#896	—	5	1	no	—
698	#896	—	5	1	no	—
699	#896	—	5	1	no	—
700	#896	—	5	1	no	—
701	#896	—	5	1	no	—
702	#896	—	5	1	no	—
703	#896	—	5	1	no	—
704	#896	—	5	1	no	—
705	#896	—	5	1	no	—
706	#896	C₂×D₅	1	1	yes	characteristic
707	#896	C₂×D₅	1	1	yes	characteristic
708	#892	—	5	1	no	—
709	#892	—	5	1	no	—
710	#892	—	5	1	no	—
711	#892	—	5	1	no	—
712	#892	—	5	1	no	—
713	#892	—	5	1	no	—
714	#892	—	5	1	no	—
715	#892	C₂×D₅	1	1	yes	characteristic
716	#890	—	5	1	no	—
717	#890	—	5	1	no	—
718	#890	—	5	1	no	—
719	#890	—	5	1	no	—
720	#890	—	5	1	no	—
721	#890	—	5	1	no	—
722	#890	—	5	1	no	—
723	#890	C₂×D₅	1	1	yes	characteristic, complemented
724	#889	—	5	1	no	—
725	#889	—	5	1	no	—
726	#889	—	5	1	no	—
727	#889	—	5	1	no	—
728	#889	—	5	1	no	—
729	#889	—	5	1	no	—
730	#889	—	5	1	no	—
731	#889	—	5	1	no	—
732	#889	—	5	1	no	—
733	#889	—	5	1	no	—
734	#889	—	5	1	no	—
735	#889	—	5	1	no	—
736	#889	—	5	1	no	—
737	#889	—	5	1	no	—
738	#889	—	5	1	no	—
739	#889	—	5	1	no	—
740	#889	—	5	1	no	—
741	#889	—	5	1	no	—
742	#889	—	5	1	no	—
743	#889	—	5	1	no	—
744	#889	—	5	1	no	—
745	#889	C₂×D₅	1	1	yes	characteristic, complemented
746	#889	C₂×D₅	1	1	yes	characteristic, complemented
747	#889	C₂×D₅	1	1	yes	characteristic, complemented
748	#888	—	5	1	no	—
749	#888	—	5	1	no	—
750	#888	—	5	1	no	—
751	#888	—	5	1	no	—
752	#888	—	5	1	no	—
753	#888	—	5	1	no	—
754	#888	—	5	1	no	—
755	#888	C₂×D₅	1	1	yes	characteristic, complemented
756	#887	—	5	1	no	—
757	#887	—	5	1	no	—
758	#887	—	5	1	no	—
759	#887	—	5	1	no	—
760	#887	—	5	1	no	—
761	#887	—	5	1	no	—
762	#887	—	5	1	no	—
763	#887	C₂×D₅	1	1	yes	characteristic, complemented
764	#876	—	5	1	no	—
765	#876	—	5	1	no	—
766	#876	—	5	1	no	—
767	#876	—	5	1	no	—
768	#876	—	5	1	no	—
769	#876	—	5	1	no	—
770	#876	—	5	1	no	—
771	#876	C₂×D₅	1	1	yes	characteristic
772	C₄×Dic₆	—	5	1	no	—
773	C₄×Dic₆	—	5	1	no	—
774	C₄×Dic₆	—	5	1	no	—
775	C₄×Dic₆	—	5	1	no	—
776	C₄×Dic₆	—	5	1	no	—
777	C₄×Dic₆	—	5	1	no	—
778	C₄×Dic₆	—	5	1	no	—
779	C₄×Dic₆	C₂×D₅	1	1	yes	characteristic, complemented
780	C₂³×D₅	—	3	1	no	—
781	C₂×C₅×Q₈	—	3	1	no	—
782	C₂×C₅×Q₈	—	3	1	no	—
783	C₂²×C₄×C₅	—	3	1	no	—
784	C₂²×Dic₅	—	3	1	no	—
785	Q₈×D₅	—	6	4	no	—
786	Q₈×D₅	—	6	4	no	—
787	C₂×C₄×D₅	—	3	1	no	—
788	C₂×C₄×D₅	—	3	1	no	—
789	C₂×C₄×D₅	—	3	1	no	—
790	C₂×C₄×D₅	—	3	1	no	—
791	C₂×C₄×D₅	—	3	1	no	—
792	C₂×C₄×D₅	—	3	1	no	—
793	C₂×C₄×D₅	—	3	1	no	—
794	C₂×C₄×D₅	—	3	1	no	—
795	C₂×C₄×D₅	—	3	1	no	—
796	C₂×C₄×D₅	—	6	4	no	—
797	C₂×C₄×D₅	C₂²×D₃	1	1	yes	characteristic
798	C₂×C₄×D₅	C₂²×D₃	1	1	yes	characteristic
799	C₂×C₄×D₅	C₂²×D₃	1	1	yes	characteristic
800	C₂×C₄×D₅	C₂²×D₃	1	1	yes	characteristic
801	C₂×C₄×D₅	C₂²×D₃	1	1	yes	characteristic
802	C₂×C₄×D₅	C₂²×D₃	1	1	yes	characteristic
803	C₂×C₄×D₅	C₂²×D₃	1	1	yes	characteristic
804	C₂×Dic₁₀	—	3	1	no	—
805	C₂×Dic₁₀	—	3	1	no	—
806	C₂×Dic₁₀	—	3	1	no	—
807	C₂×Dic₁₀	—	3	1	no	—
808	C₂×Dic₁₀	—	3	1	no	—
809	C₂×Dic₁₀	—	3	1	no	—
810	C₅×C₄⋊C₄	—	3	1	no	—
811	C₅×C₄⋊C₄	—	3	1	no	—
812	C₅×C₄⋊C₄	—	3	1	no	—
813	C₅×C₄⋊C₄	—	3	1	no	—
814	C₅×C₄⋊C₄	—	3	1	no	—
815	C₅×C₄⋊C₄	—	3	1	no	—
816	C₅×C₄⋊C₄	—	3	1	no	—
817	C₅×C₄⋊C₄	—	3	1	no	—
818	C₅×C₄⋊C₄	—	3	1	no	—
819	C₅×C₄⋊C₄	—	3	1	no	—
820	C₅×C₄⋊C₄	—	3	1	no	—
821	C₅×C₄⋊C₄	—	3	1	no	—
822	C₅×C₄⋊C₄	—	3	1	no	—
823	C₅×C₄⋊C₄	—	3	1	no	—
824	C₅×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
825	C₅×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
826	C₅×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
827	C₅×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
828	C₅×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
829	C₅×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
830	C₅×C₂²⋊C₄	—	3	1	no	—
831	C₅×C₂²⋊C₄	—	3	1	no	—
832	C₅×C₂²⋊C₄	—	3	1	no	—
833	C₅×C₂²⋊C₄	—	3	1	no	—
834	C₅×C₂²⋊C₄	—	3	1	no	—
835	C₅×C₂²⋊C₄	—	3	1	no	—
836	C₄²×C₅	—	3	1	no	—
837	C₄²×C₅	—	3	1	no	—
838	C₄²×C₅	—	3	1	no	—
839	C₄²×C₅	—	3	1	no	—
840	C₄²×C₅	—	3	1	no	—
841	C₄²×C₅	C₂²×D₃	1	1	yes	characteristic
842	C₂²⋊Dic₅	—	3	1	no	—
843	C₂²⋊Dic₅	—	3	1	no	—
844	C₂²⋊Dic₅	—	3	1	no	—
845	C₂²⋊Dic₅	—	3	1	no	—
846	C₂²⋊Dic₅	—	3	1	no	—
847	C₂²⋊Dic₅	—	3	1	no	—
848	#685	—	3	1	no	—
849	#685	—	3	1	no	—
850	#685	—	3	1	no	—
851	#685	—	3	1	no	—
852	#685	—	3	1	no	—
853	#685	—	3	1	no	—
854	#685	—	3	1	no	—
855	#685	—	3	1	no	—
856	#685	—	3	1	no	—
857	#685	—	3	1	no	—
858	#685	—	3	1	no	—
859	#685	—	3	1	no	—
860	C₄⋊Dic₅	—	3	1	no	—
861	C₄⋊Dic₅	—	3	1	no	—
862	C₄⋊Dic₅	—	3	1	no	—
863	C₄⋊Dic₅	—	3	1	no	—
864	C₄⋊Dic₅	—	3	1	no	—
865	C₄⋊Dic₅	—	3	1	no	—
866	C₄⋊Dic₅	—	3	1	no	—
867	C₄⋊Dic₅	—	3	1	no	—
868	C₄⋊Dic₅	—	3	1	no	—
869	C₄⋊Dic₅	—	3	1	no	—
870	C₄⋊Dic₅	—	3	1	no	—
871	C₄⋊Dic₅	—	3	1	no	—
872	C₄⋊Dic₅	—	3	1	no	—
873	C₄⋊Dic₅	—	3	1	no	—
874	C₄⋊Dic₅	C₂²×D₃	1	1	yes	characteristic
875	C₄⋊Dic₅	C₂²×D₃	1	1	yes	characteristic
876	C₄⋊Dic₅	C₂²×D₃	1	1	yes	characteristic
877	C₄⋊Dic₅	C₂²×D₃	1	1	yes	characteristic
878	C₄⋊Dic₅	C₂²×D₃	1	1	yes	characteristic
879	C₄⋊Dic₅	C₂²×D₃	1	1	yes	characteristic
880	#683	—	3	1	no	—
881	#683	—	3	1	no	—
882	#683	—	3	1	no	—
883	#683	—	3	1	no	—
884	#683	—	3	1	no	—
885	#683	—	3	1	no	—
886	#683	—	3	1	no	—
887	#683	—	3	1	no	—
888	#683	—	3	1	no	—
889	#683	—	3	1	no	—
890	#683	—	3	1	no	—
891	#683	—	3	1	no	—
892	#683	—	3	1	no	—
893	#683	—	3	1	no	—
894	#683	—	3	1	no	—
895	#683	—	3	1	no	—
896	#683	—	3	1	no	—
897	#683	—	3	1	no	—
898	#683	—	3	1	no	—
899	#683	—	3	1	no	—
900	#683	—	3	1	no	—
901	#683	—	3	1	no	—
902	#683	—	3	1	no	—
903	#683	—	3	1	no	—
904	#683	—	3	1	no	—
905	#683	—	3	1	no	—
906	#683	—	3	1	no	—
907	#683	—	3	1	no	—
908	#683	C₂²×D₃	1	1	yes	characteristic
909	#683	C₂²×D₃	1	1	yes	characteristic
910	#683	C₂²×D₃	1	1	yes	characteristic
911	#683	C₂²×D₃	1	1	yes	characteristic
912	#683	C₂²×D₃	1	1	yes	characteristic
913	#683	C₂²×D₃	1	1	yes	characteristic
914	#683	C₂²×D₃	1	1	yes	characteristic
915	#683	C₂²×D₃	1	1	yes	characteristic
916	#683	C₂²×D₃	1	1	yes	characteristic
917	#683	C₂²×D₃	1	1	yes	characteristic
918	#683	C₂²×D₃	1	1	yes	characteristic
919	#683	C₂²×D₃	1	1	yes	characteristic
920	C₄×Dic₅	—	3	1	no	—
921	C₄×Dic₅	—	3	1	no	—
922	C₄×Dic₅	—	3	1	no	—
923	C₄×Dic₅	—	3	1	no	—
924	C₄×Dic₅	—	3	1	no	—
925	C₄×Dic₅	—	3	1	no	—
926	C₄×Dic₅	—	3	1	no	—
927	C₄×Dic₅	—	3	1	no	—
928	C₄×Dic₅	—	3	1	no	—
929	C₄×Dic₅	—	3	1	no	—
930	C₄×Dic₅	—	3	1	no	—
931	C₄×Dic₅	—	3	1	no	—
932	C₄×Dic₅	—	3	1	no	—
933	C₄×Dic₅	—	3	1	no	—
934	C₄×Dic₅	—	3	1	no	—
935	C₄×Dic₅	C₂²×D₃	1	1	yes	characteristic
936	C₄×Dic₅	C₂²×D₃	1	1	yes	characteristic
937	C₄×Dic₅	C₂²×D₃	1	1	yes	characteristic
938	#541	—	3	1	no	—
939	#541	—	15	1	no	—
940	#541	—	15	1	no	—
941	#541	—	15	1	no	—
942	#541	—	15	1	no	—
943	#541	—	15	1	no	—
944	#541	—	15	1	no	—
945	#541	—	15	1	no	—
946	#541	—	15	1	no	—
947	#541	—	15	1	no	—
948	#541	—	15	1	no	—
949	#541	—	15	1	no	—
950	#541	—	15	1	no	—
951	#541	—	15	1	no	—
952	#541	—	15	1	no	—
953	#541	—	15	1	no	—
954	C₂×C₄⋊Q₈	—	15	1	no	—
955	C₂×#126	—	15	1	no	—
956	C₂×#126	—	15	1	no	—
957	C₂×#126	—	15	1	no	—
958	C₂×#126	—	15	1	no	—
959	C₂×#125	—	5	1	no	—
960	C₂×#125	—	15	1	no	—
961	C₂×#125	—	15	1	no	—
962	C₂×#125	—	15	1	no	—
963	C₂×#125	—	15	1	no	—
964	C₂×C₂²⋊Q₈	—	15	1	no	—
965	C₂×C₂²⋊Q₈	—	15	1	no	—
966	C₂×C₄×Q₈	—	15	1	no	—
967	C₂×C₄×Q₈	—	15	1	no	—
968	C₂×#117	—	15	1	no	—
969	C₂²×C₃×C₅	C₂⁵	1	1	yes	characteristic
970	C₂×D₁₅	—	2	1	no	—
971	C₂×D₁₅	—	2	1	no	—
972	C₂×D₁₅	—	2	1	no	—
973	C₂×C₅×D₃	—	2	1	no	—
974	C₂×C₅×D₃	—	2	1	no	—
975	C₂×C₅×D₃	—	2	1	no	—
976	C₂×C₃×D₅	C₂×#41	1	2	yes	—
977	C₂×C₃×D₅	2₋¹⁺⁴	1	2	yes	—
978	C₂×C₃×D₅	2₋¹⁺⁴	1	2	yes	—
979	D₃×D₅	—	4	4	no	—
980	C₃×C₄×C₅	—	2	1	no	—
981	C₃×C₄×C₅	—	2	1	no	—
982	C₃×C₄×C₅	—	2	1	no	—
983	C₃×C₄×C₅	—	2	1	no	—
984	C₃×C₄×C₅	—	2	1	no	—
985	C₃×C₄×C₅	—	2	1	no	—
986	C₃×C₄×C₅	—	2	1	no	—
987	Dic₁₅	—	2	1	no	—
988	Dic₁₅	—	2	1	no	—
989	Dic₁₅	—	2	1	no	—
990	Dic₁₅	—	2	1	no	—
991	Dic₁₅	—	2	1	no	—
992	Dic₁₅	—	2	1	no	—
993	Dic₁₅	C₂×#41	1	2	yes	—
994	C₃×Dic₅	—	2	1	no	—
995	C₃×Dic₅	—	2	1	no	—
996	C₃×Dic₅	—	2	1	no	—
997	C₃×Dic₅	—	2	1	no	—
998	C₃×Dic₅	—	2	1	no	—
999	C₃×Dic₅	—	2	1	no	—
1000	C₃×Dic₅	—	2	1	no	—
1001	C₅×Dic₃	—	2	1	no	—
1002	C₅×Dic₃	—	2	1	no	—
1003	C₅×Dic₃	—	2	1	no	—
1004	C₅×Dic₃	—	2	1	no	—
1005	C₅×Dic₃	—	2	1	no	—
1006	C₅×Dic₃	—	2	1	no	—
1007	C₅×Dic₃	C₂×#41	1	2	yes	—
1008	C₂³×D₃	—	5	1	no	—
1009	C₂²×C₃×C₄	—	5	1	no	—
1010	C₂²×C₃×C₄	—	5	1	no	—
1011	C₂²×C₃×C₄	—	5	1	no	—
1012	C₂²×C₃×C₄	—	5	1	no	—
1013	C₂²×C₃×C₄	—	5	1	no	—
1014	C₂²×C₃×C₄	—	5	1	no	—
1015	C₂²×C₃×C₄	—	5	1	no	—
1016	C₂²×Dic₃	—	5	1	no	—
1017	C₂²×Dic₃	—	5	1	no	—
1018	C₂²×Dic₃	—	5	1	no	—
1019	C₂²×Dic₃	—	5	1	no	—
1020	C₂²×Dic₃	—	5	1	no	—
1021	C₂²×Dic₃	—	5	1	no	—
1022	C₂²×Dic₃	—	5	1	no	—
1023	C₂×C₄×D₃	—	5	1	no	—
1024	C₂×C₄×D₃	—	5	1	no	—
1025	C₂×C₄×D₃	—	5	1	no	—
1026	C₂×C₄×D₃	—	10	4	no	—
1027	C₂×C₄×D₃	C₂²×D₅	1	1	yes	characteristic
1028	C₂×Dic₆	—	5	1	no	—
1029	C₂×Dic₆	—	5	1	no	—
1030	C₂×Dic₆	—	5	1	no	—
1031	C₂×Dic₆	—	5	1	no	—
1032	C₂×Dic₆	—	5	1	no	—
1033	C₂×Dic₆	—	5	1	no	—
1034	C₂×Dic₆	—	10	4	no	—
1035	C₂×Dic₆	—	10	4	no	—
1036	C₂×Dic₆	C₂²×D₅	1	1	yes	characteristic
1037	C₂×Dic₆	C₂²×D₅	1	1	yes	characteristic
1038	C₃×C₄⋊C₄	—	5	1	no	—
1039	C₃×C₄⋊C₄	—	5	1	no	—
1040	C₃×C₄⋊C₄	—	5	1	no	—
1041	C₃×C₄⋊C₄	—	5	1	no	—
1042	C₃×C₄⋊C₄	—	5	1	no	—
1043	C₃×C₄⋊C₄	—	5	1	no	—
1044	C₃×C₄⋊C₄	—	5	1	no	—
1045	C₃×C₄⋊C₄	—	5	1	no	—
1046	C₃×C₄⋊C₄	—	5	1	no	—
1047	C₃×C₄⋊C₄	—	5	1	no	—
1048	C₃×C₄⋊C₄	—	5	1	no	—
1049	C₃×C₄⋊C₄	—	5	1	no	—
1050	C₃×C₄⋊C₄	—	5	1	no	—
1051	C₃×C₄⋊C₄	—	5	1	no	—
1052	C₃×C₄⋊C₄	—	5	1	no	—
1053	C₃×C₄⋊C₄	—	5	1	no	—
1054	C₃×C₄⋊C₄	—	5	1	no	—
1055	C₃×C₄⋊C₄	—	5	1	no	—
1056	C₃×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1057	C₃×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1058	C₃×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1059	C₃×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1060	C₃×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1061	C₃×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1062	C₃×C₄²	—	5	1	no	—
1063	C₃×C₄²	—	5	1	no	—
1064	C₃×C₄²	—	5	1	no	—
1065	C₃×C₄²	C₂²×D₅	1	1	yes	characteristic
1066	(C₂×D₃)⋊C₄	—	5	1	no	—
1067	(C₂×D₃)⋊C₄	—	5	1	no	—
1068	(C₂×D₃)⋊C₄	—	5	1	no	—
1069	(C₂×D₃)⋊C₄	—	5	1	no	—
1070	(C₂×D₃)⋊C₄	—	5	1	no	—
1071	(C₂×D₃)⋊C₄	—	5	1	no	—
1072	(C₂×D₃)⋊C₄	—	5	1	no	—
1073	(C₂×D₃)⋊C₄	—	5	1	no	—
1074	(C₂×D₃)⋊C₄	—	5	1	no	—
1075	(C₂×D₃)⋊C₄	—	5	1	no	—
1076	(C₂×D₃)⋊C₄	—	5	1	no	—
1077	(C₂×D₃)⋊C₄	—	5	1	no	—
1078	(C₂×D₃)⋊C₄	—	5	1	no	—
1079	(C₂×D₃)⋊C₄	—	5	1	no	—
1080	(C₂×D₃)⋊C₄	—	5	1	no	—
1081	(C₂×D₃)⋊C₄	—	5	1	no	—
1082	(C₂×D₃)⋊C₄	—	5	1	no	—
1083	(C₂×D₃)⋊C₄	—	5	1	no	—
1084	(C₂×D₃)⋊C₄	C₂²×D₅	1	1	yes	characteristic
1085	(C₂×D₃)⋊C₄	C₂²×D₅	1	1	yes	characteristic
1086	(C₂×D₃)⋊C₄	C₂²×D₅	1	1	yes	characteristic
1087	(C₂×D₃)⋊C₄	C₂²×D₅	1	1	yes	characteristic
1088	(C₂×D₃)⋊C₄	C₂²×D₅	1	1	yes	characteristic
1089	(C₂×D₃)⋊C₄	C₂²×D₅	1	1	yes	characteristic
1090	C₄⋊Dic₃	—	5	1	no	—
1091	C₄⋊Dic₃	—	5	1	no	—
1092	C₄⋊Dic₃	—	5	1	no	—
1093	C₄⋊Dic₃	—	5	1	no	—
1094	C₄⋊Dic₃	—	5	1	no	—
1095	C₄⋊Dic₃	—	5	1	no	—
1096	C₄⋊Dic₃	—	5	1	no	—
1097	C₄⋊Dic₃	—	5	1	no	—
1098	C₄⋊Dic₃	—	5	1	no	—
1099	C₄⋊Dic₃	—	5	1	no	—
1100	C₄⋊Dic₃	—	5	1	no	—
1101	C₄⋊Dic₃	—	5	1	no	—
1102	C₄⋊Dic₃	C₂²×D₅	1	1	yes	characteristic
1103	C₄⋊Dic₃	C₂²×D₅	1	1	yes	characteristic
1104	C₄⋊Dic₃	C₂²×D₅	1	1	yes	characteristic
1105	C₄⋊Dic₃	C₂²×D₅	1	1	yes	characteristic
1106	Dic₃⋊C₄	—	5	1	no	—
1107	Dic₃⋊C₄	—	5	1	no	—
1108	Dic₃⋊C₄	—	5	1	no	—
1109	Dic₃⋊C₄	—	5	1	no	—
1110	Dic₃⋊C₄	—	5	1	no	—
1111	Dic₃⋊C₄	—	5	1	no	—
1112	Dic₃⋊C₄	—	5	1	no	—
1113	Dic₃⋊C₄	—	5	1	no	—
1114	Dic₃⋊C₄	—	5	1	no	—
1115	Dic₃⋊C₄	—	5	1	no	—
1116	Dic₃⋊C₄	—	5	1	no	—
1117	Dic₃⋊C₄	—	5	1	no	—
1118	Dic₃⋊C₄	—	5	1	no	—
1119	Dic₃⋊C₄	—	5	1	no	—
1120	Dic₃⋊C₄	—	5	1	no	—
1121	Dic₃⋊C₄	—	5	1	no	—
1122	Dic₃⋊C₄	—	5	1	no	—
1123	Dic₃⋊C₄	—	5	1	no	—
1124	Dic₃⋊C₄	—	5	1	no	—
1125	Dic₃⋊C₄	—	5	1	no	—
1126	Dic₃⋊C₄	—	5	1	no	—
1127	Dic₃⋊C₄	—	5	1	no	—
1128	Dic₃⋊C₄	—	5	1	no	—
1129	Dic₃⋊C₄	—	5	1	no	—
1130	Dic₃⋊C₄	—	5	1	no	—
1131	Dic₃⋊C₄	—	5	1	no	—
1132	Dic₃⋊C₄	—	5	1	no	—
1133	Dic₃⋊C₄	—	5	1	no	—
1134	Dic₃⋊C₄	—	5	1	no	—
1135	Dic₃⋊C₄	—	5	1	no	—
1136	Dic₃⋊C₄	C₂²×D₅	1	1	yes	characteristic
1137	Dic₃⋊C₄	C₂²×D₅	1	1	yes	characteristic
1138	Dic₃⋊C₄	C₂²×D₅	1	1	yes	characteristic
1139	Dic₃⋊C₄	C₂²×D₅	1	1	yes	characteristic
1140	Dic₃⋊C₄	C₂²×D₅	1	1	yes	characteristic
1141	Dic₃⋊C₄	C₂²×D₅	1	1	yes	characteristic
1142	Dic₃⋊C₄	C₂²×D₅	1	1	yes	characteristic
1143	Dic₃⋊C₄	C₂²×D₅	1	1	yes	characteristic
1144	Dic₃⋊C₄	C₂²×D₅	1	1	yes	characteristic
1145	Dic₃⋊C₄	C₂²×D₅	1	1	yes	characteristic
1146	C₄×Dic₃	—	5	1	no	—
1147	C₄×Dic₃	—	5	1	no	—
1148	C₄×Dic₃	—	5	1	no	—
1149	C₄×Dic₃	—	5	1	no	—
1150	C₄×Dic₃	—	5	1	no	—
1151	C₄×Dic₃	—	5	1	no	—
1152	C₄×Dic₃	—	5	1	no	—
1153	C₄×Dic₃	—	5	1	no	—
1154	C₄×Dic₃	—	5	1	no	—
1155	C₄×Dic₃	—	5	1	no	—
1156	C₄×Dic₃	—	5	1	no	—
1157	C₄×Dic₃	—	5	1	no	—
1158	C₄×Dic₃	—	5	1	no	—
1159	C₄×Dic₃	—	5	1	no	—
1160	C₄×Dic₃	—	5	1	no	—
1161	C₄×Dic₃	C₂²×D₅	1	1	yes	characteristic
1162	C₄×Dic₃	C₂²×D₅	1	1	yes	characteristic
1163	C₄×Dic₃	C₂²×D₅	1	1	yes	characteristic
1164	C₄×Dic₃	C₂²×D₅	1	1	yes	characteristic
1165	C₄×Dic₃	C₂²×D₅	1	1	yes	characteristic
1166	C₂³×C₅	—	3	1	no	—
1167	C₂²×D₅	—	3	1	no	—
1168	C₂²×D₅	—	6	2	no	—
1169	C₂²×D₅	—	6	2	no	—
1170	C₂²×D₅	—	6	2	no	—
1171	C₂²×D₅	C₂³×D₃	1	1	yes	characteristic
1172	C₅×Q₈	—	6	2	no	—
1173	C₅×Q₈	—	6	2	no	—
1174	C₂×C₄×C₅	—	3	1	no	—
1175	C₂×C₄×C₅	—	3	1	no	—
1176	C₂×C₄×C₅	—	3	1	no	—
1177	C₂×C₄×C₅	—	3	1	no	—
1178	C₂×C₄×C₅	—	3	1	no	—
1179	C₂×C₄×C₅	—	3	1	no	—
1180	C₂×C₄×C₅	—	3	1	no	—
1181	C₂×C₄×C₅	—	6	2	no	—
1182	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
1183	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
1184	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
1185	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
1186	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
1187	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
1188	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
1189	C₂×Dic₅	—	3	1	no	—
1190	C₂×Dic₅	—	3	1	no	—
1191	C₂×Dic₅	—	3	1	no	—
1192	C₂×Dic₅	—	3	1	no	—
1193	C₂×Dic₅	—	3	1	no	—
1194	C₂×Dic₅	—	3	1	no	—
1195	C₂×Dic₅	—	3	1	no	—
1196	C₂×Dic₅	—	6	2	no	—
1197	C₂×Dic₅	C₂³×D₃	1	1	yes	characteristic
1198	C₂×Dic₅	C₂³×D₃	1	1	yes	characteristic
1199	C₂×Dic₅	C₂³×D₃	1	1	yes	characteristic
1200	C₂×Dic₅	C₂³×D₃	1	1	yes	characteristic
1201	C₂×Dic₅	C₂³×D₃	1	1	yes	characteristic
1202	C₂×Dic₅	C₂³×D₃	1	1	yes	characteristic
1203	C₂×Dic₅	C₂³×D₃	1	1	yes	characteristic
1204	C₄×D₅	—	2	2	no	—
1205	C₄×D₅	—	2	2	no	—
1206	C₄×D₅	—	2	2	no	—
1207	C₄×D₅	—	2	2	no	—
1208	C₄×D₅	—	2	2	no	—
1209	C₄×D₅	—	2	2	no	—
1210	C₄×D₅	—	2	2	no	—
1211	C₄×D₅	—	3	4	no	—
1212	C₄×D₅	—	6	2	no	—
1213	C₄×D₅	—	6	2	no	—
1214	C₄×D₅	—	6	2	no	—
1215	C₄×D₅	—	6	2	no	—
1216	C₄×D₅	—	6	2	no	—
1217	C₄×D₅	—	6	2	no	—
1218	C₄×D₅	—	6	2	no	—
1219	C₄×D₅	—	6	2	no	—
1220	Dic₁₀	—	6	2	no	—
1221	Dic₁₀	—	6	2	no	—
1222	Dic₁₀	—	6	2	no	—
1223	Dic₁₀	—	6	2	no	—
1224	Dic₁₀	—	6	2	no	—
1225	Dic₁₀	—	6	2	no	—
1226	C₂²×Q₈	—	15	1	no	—
1227	C₂²×Q₈	—	15	1	no	—
1228	C₂³×C₄	—	15	1	no	—
1229	C₄⋊Q₈	—	3	1	no	—
1230	C₄⋊Q₈	—	15	1	no	—
1231	C₄⋊Q₈	—	15	1	no	—
1232	C₄⋊Q₈	—	15	1	no	—
1233	C₄⋊Q₈	—	15	1	no	—
1234	C₄⋊Q₈	—	15	1	no	—
1235	C₄⋊Q₈	—	15	1	no	—
1236	C₄⋊Q₈	—	15	1	no	—
1237	#126	—	3	1	no	—
1238	#126	—	3	1	no	—
1239	#126	—	3	1	no	—
1240	#126	—	3	1	no	—
1241	#126	—	15	1	no	—
1242	#126	—	15	1	no	—
1243	#126	—	15	1	no	—
1244	#126	—	15	1	no	—
1245	#126	—	15	1	no	—
1246	#126	—	15	1	no	—
1247	#126	—	15	1	no	—
1248	#126	—	15	1	no	—
1249	#126	—	15	1	no	—
1250	#126	—	15	1	no	—
1251	#126	—	15	1	no	—
1252	#126	—	15	1	no	—
1253	#126	—	15	1	no	—
1254	#126	—	15	1	no	—
1255	#126	—	15	1	no	—
1256	#126	—	15	1	no	—
1257	#126	—	15	1	no	—
1258	#126	—	15	1	no	—
1259	#126	—	15	1	no	—
1260	#126	—	15	1	no	—
1261	#126	—	15	1	no	—
1262	#126	—	15	1	no	—
1263	#126	—	15	1	no	—
1264	#126	—	15	1	no	—
1265	#126	—	15	1	no	—
1266	#126	—	15	1	no	—
1267	#126	—	15	1	no	—
1268	#126	—	15	1	no	—
1269	#125	—	3	1	no	—
1270	#125	—	3	1	no	—
1271	#125	—	3	1	no	—
1272	#125	—	3	1	no	—
1273	#125	—	5	1	no	—
1274	#125	—	5	1	no	—
1275	#125	—	5	1	no	—
1276	#125	—	5	1	no	—
1277	#125	—	5	1	no	—
1278	#125	—	5	1	no	—
1279	#125	—	5	1	no	—
1280	#125	—	15	1	no	—
1281	#125	—	15	1	no	—
1282	#125	—	15	1	no	—
1283	#125	—	15	1	no	—
1284	#125	—	15	1	no	—
1285	#125	—	15	1	no	—
1286	#125	—	15	1	no	—
1287	#125	—	15	1	no	—
1288	#125	—	15	1	no	—
1289	#125	—	15	1	no	—
1290	#125	—	15	1	no	—
1291	#125	—	15	1	no	—
1292	#125	—	15	1	no	—
1293	#125	—	15	1	no	—
1294	#125	—	15	1	no	—
1295	#125	—	15	1	no	—
1296	#125	—	15	1	no	—
1297	#125	—	15	1	no	—
1298	#125	—	15	1	no	—
1299	#125	—	15	1	no	—
1300	#125	—	15	1	no	—
1301	#125	—	15	1	no	—
1302	#125	—	15	1	no	—
1303	#125	—	15	1	no	—
1304	#125	—	15	1	no	—
1305	#125	—	15	1	no	—
1306	#125	—	15	1	no	—
1307	#125	—	15	1	no	—
1308	#125	D₃×D₅	1	1	yes	characteristic, complemented
1309	C₂²⋊Q₈	—	3	1	no	—
1310	C₂²⋊Q₈	—	3	1	no	—
1311	C₂²⋊Q₈	—	15	1	no	—
1312	C₂²⋊Q₈	—	15	1	no	—
1313	C₂²⋊Q₈	—	15	1	no	—
1314	C₂²⋊Q₈	—	15	1	no	—
1315	C₂²⋊Q₈	—	15	1	no	—
1316	C₂²⋊Q₈	—	15	1	no	—
1317	C₂²⋊Q₈	—	15	1	no	—
1318	C₂²⋊Q₈	—	15	1	no	—
1319	C₂²⋊Q₈	—	15	1	no	—
1320	C₂²⋊Q₈	—	15	1	no	—
1321	C₂²⋊Q₈	—	15	1	no	—
1322	C₂²⋊Q₈	—	15	1	no	—
1323	C₂²⋊Q₈	—	15	1	no	—
1324	C₂²⋊Q₈	—	15	1	no	—
1325	C₄×Q₈	—	3	1	no	—
1326	C₄×Q₈	—	3	1	no	—
1327	C₄×Q₈	—	15	1	no	—
1328	C₄×Q₈	—	15	1	no	—
1329	C₄×Q₈	—	15	1	no	—
1330	C₄×Q₈	—	15	1	no	—
1331	C₄×Q₈	—	15	1	no	—
1332	C₄×Q₈	—	15	1	no	—
1333	C₄×Q₈	—	15	1	no	—
1334	C₄×Q₈	—	15	1	no	—
1335	C₄×Q₈	—	15	1	no	—
1336	C₄×Q₈	—	15	1	no	—
1337	C₄×Q₈	—	15	1	no	—
1338	C₄×Q₈	—	15	1	no	—
1339	C₄×Q₈	—	15	1	no	—
1340	C₄×Q₈	—	15	1	no	—
1341	#117	—	3	1	no	—
1342	#117	—	15	1	no	—
1343	#117	—	15	1	no	—
1344	#117	—	15	1	no	—
1345	#117	—	15	1	no	—
1346	#117	—	15	1	no	—
1347	#117	—	15	1	no	—
1348	#117	—	15	1	no	—
1349	C₂×C₄⋊C₄	—	5	1	no	—
1350	C₂×C₄⋊C₄	—	5	1	no	—
1351	C₂×C₄⋊C₄	—	5	1	no	—
1352	C₂×C₄⋊C₄	—	5	1	no	—
1353	C₂×C₄⋊C₄	—	5	1	no	—
1354	C₂×C₄⋊C₄	—	5	1	no	—
1355	C₂×C₄⋊C₄	—	15	1	no	—
1356	C₂×C₄⋊C₄	—	15	1	no	—
1357	C₂×C₄⋊C₄	—	15	1	no	—
1358	C₂×C₄⋊C₄	—	15	1	no	—
1359	C₂×C₄⋊C₄	—	15	1	no	—
1360	C₂×C₄⋊C₄	—	15	1	no	—
1361	C₂×C₄⋊C₄	—	15	1	no	—
1362	C₂×C₄⋊C₄	—	15	1	no	—
1363	C₂×C₄⋊C₄	—	15	1	no	—
1364	C₂×C₄⋊C₄	—	15	1	no	—
1365	C₂×C₄⋊C₄	—	15	1	no	—
1366	C₂×C₄⋊C₄	—	15	1	no	—
1367	C₂×C₄⋊C₄	—	15	1	no	—
1368	C₂×C₄⋊C₄	—	15	1	no	—
1369	C₂×C₂²⋊C₄	—	15	1	no	—
1370	C₂×C₂²⋊C₄	—	15	1	no	—
1371	C₂×C₂²⋊C₄	—	15	1	no	—
1372	C₂×C₂²⋊C₄	—	15	1	no	—
1373	C₂×C₂²⋊C₄	—	15	1	no	—
1374	C₂×C₂²⋊C₄	—	15	1	no	—
1375	C₂×C₄²	—	5	1	no	—
1376	C₂×C₄²	—	15	1	no	—
1377	C₂×C₄²	—	15	1	no	—
1378	C₂×C₄²	—	15	1	no	—
1379	C₂×C₄²	—	15	1	no	—
1380	C₂×C₄²	—	15	1	no	—
1381	C₂×C₃×C₅	C₂²×#41	1	1	yes	characteristic
1382	C₂×C₃×C₅	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1383	C₂×C₃×C₅	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1384	D₁₅	—	4	1	no	—
1385	C₃×D₅	#541	1	4	yes	complemented
1386	C₅×D₃	—	4	1	no	—
1387	C₂³×C₃	—	5	1	no	—
1388	C₂²×D₃	—	5	1	no	—
1389	C₂²×D₃	—	10	2	no	—
1390	C₂²×D₃	—	10	2	no	—
1391	C₂²×D₃	—	10	2	no	—
1392	C₂²×D₃	C₂³×D₅	1	1	yes	characteristic
1393	C₂×C₃×C₄	—	5	1	no	—
1394	C₂×C₃×C₄	—	5	1	no	—
1395	C₂×C₃×C₄	—	5	1	no	—
1396	C₂×C₃×C₄	—	5	1	no	—
1397	C₂×C₃×C₄	—	5	1	no	—
1398	C₂×C₃×C₄	—	5	1	no	—
1399	C₂×C₃×C₄	—	5	1	no	—
1400	C₂×C₃×C₄	—	10	2	no	—
1401	C₂×C₃×C₄	—	10	2	no	—
1402	C₂×C₃×C₄	—	10	2	no	—
1403	C₂×C₃×C₄	—	10	2	no	—
1404	C₂×C₃×C₄	—	10	2	no	—
1405	C₂×C₃×C₄	—	10	2	no	—
1406	C₂×C₃×C₄	—	10	2	no	—
1407	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1408	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1409	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1410	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1411	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1412	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1413	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1414	C₂×Dic₃	—	5	1	no	—
1415	C₂×Dic₃	—	5	4	no	—
1416	C₂×Dic₃	—	5	1	no	—
1417	C₂×Dic₃	—	5	1	no	—
1418	C₂×Dic₃	—	5	1	no	—
1419	C₂×Dic₃	—	5	1	no	—
1420	C₂×Dic₃	—	5	1	no	—
1421	C₂×Dic₃	—	5	1	no	—
1422	C₂×Dic₃	—	10	2	no	—
1423	C₂×Dic₃	—	10	2	no	—
1424	C₂×Dic₃	—	10	2	no	—
1425	C₂×Dic₃	—	10	2	no	—
1426	C₂×Dic₃	—	10	2	no	—
1427	C₂×Dic₃	—	10	2	no	—
1428	C₂×Dic₃	C₂³×D₅	1	1	yes	characteristic
1429	C₂×Dic₃	C₂³×D₅	1	1	yes	characteristic
1430	C₂×Dic₃	C₂³×D₅	1	1	yes	characteristic
1431	C₂×Dic₃	C₂³×D₅	1	1	yes	characteristic
1432	C₂×Dic₃	C₂³×D₅	1	1	yes	characteristic
1433	C₂×Dic₃	C₂³×D₅	1	1	yes	characteristic
1434	C₂×Dic₃	C₂³×D₅	1	1	yes	characteristic
1435	C₄×D₃	—	2	2	no	—
1436	C₄×D₃	—	10	2	no	—
1437	C₄×D₃	—	10	2	no	—
1438	C₄×D₃	—	10	2	no	—
1439	Dic₆	—	2	2	no	—
1440	Dic₆	—	2	2	no	—
1441	Dic₆	—	10	2	no	—
1442	Dic₆	—	10	2	no	—
1443	Dic₆	—	10	2	no	—
1444	Dic₆	—	10	2	no	—
1445	Dic₆	—	10	2	no	—
1446	Dic₆	—	10	2	no	—
1447	C₂²×C₅	—	6	1	no	—
1448	C₂²×C₅	—	6	1	no	—
1449	C₂²×C₅	—	6	1	no	—
1450	C₂²×C₅	C₂⁴×D₃	1	1	yes	characteristic
1451	C₂×D₅	—	6	1	no	—
1452	C₂×D₅	—	6	1	no	—
1453	C₂×D₅	—	6	1	no	—
1454	C₂×D₅	—	12	4	no	—
1455	C₂×D₅	#1007	1	2	yes	—
1456	C₂×D₅	D₃×#41	1	2	yes	—
1457	C₂×D₅	#1010	1	2	yes	—
1458	C₄×C₅	—	2	1	no	—
1459	C₄×C₅	—	2	1	no	—
1460	C₄×C₅	—	2	1	no	—
1461	C₄×C₅	—	2	1	no	—
1462	C₄×C₅	—	2	1	no	—
1463	C₄×C₅	—	2	1	no	—
1464	C₄×C₅	—	2	1	no	—
1465	C₄×C₅	—	3	2	no	—
1466	C₄×C₅	—	6	1	no	—
1467	C₄×C₅	—	6	1	no	—
1468	C₄×C₅	—	6	1	no	—
1469	C₄×C₅	—	6	1	no	—
1470	C₄×C₅	—	6	1	no	—
1471	C₄×C₅	—	6	1	no	—
1472	Dic₅	—	2	1	no	—
1473	Dic₅	—	2	1	no	—
1474	Dic₅	—	2	1	no	—
1475	Dic₅	—	2	1	no	—
1476	Dic₅	—	2	1	no	—
1477	Dic₅	—	2	1	no	—
1478	Dic₅	—	2	1	no	—
1479	Dic₅	—	3	2	no	—
1480	Dic₅	—	6	1	no	—
1481	Dic₅	—	6	1	no	—
1482	Dic₅	—	6	1	no	—
1483	Dic₅	—	6	1	no	—
1484	Dic₅	—	6	1	no	—
1485	Dic₅	—	6	1	no	—
1486	C₂⁴	—	15	1	no	—
1487	C₂×Q₈	—	3	1	no	—
1488	C₂×Q₈	—	3	1	no	—
1489	C₂×Q₈	—	15	1	no	—
1490	C₂×Q₈	—	15	1	no	—
1491	C₂×Q₈	—	15	1	no	—
1492	C₂×Q₈	—	15	1	no	—
1493	C₂×Q₈	—	15	1	no	—
1494	C₂×Q₈	—	15	1	no	—
1495	C₂×Q₈	—	30	4	no	—
1496	C₂×Q₈	—	30	4	no	—
1497	C₂²×C₄	—	3	1	no	—
1498	C₂²×C₄	—	5	1	no	—
1499	C₂²×C₄	—	5	1	no	—
1500	C₂²×C₄	—	5	1	no	—
1501	C₂²×C₄	—	5	1	no	—
1502	C₂²×C₄	—	5	1	no	—
1503	C₂²×C₄	—	5	1	no	—
1504	C₂²×C₄	—	5	1	no	—
1505	C₂²×C₄	—	15	1	no	—
1506	C₂²×C₄	—	15	1	no	—
1507	C₂²×C₄	—	15	1	no	—
1508	C₂²×C₄	—	15	1	no	—
1509	C₂²×C₄	—	15	1	no	—
1510	C₂²×C₄	—	15	1	no	—
1511	C₂²×C₄	—	15	1	no	—
1512	C₂²×C₄	—	15	1	no	—
1513	C₂²×C₄	—	15	1	no	—
1514	C₂²×C₄	—	15	1	no	—
1515	C₂²×C₄	—	30	4	no	—
1516	C₄⋊C₄	—	3	1	no	—
1517	C₄⋊C₄	—	3	1	no	—
1518	C₄⋊C₄	—	3	1	no	—
1519	C₄⋊C₄	—	3	1	no	—
1520	C₄⋊C₄	—	3	1	no	—
1521	C₄⋊C₄	—	3	1	no	—
1522	C₄⋊C₄	—	3	1	no	—
1523	C₄⋊C₄	—	3	1	no	—
1524	C₄⋊C₄	—	3	1	no	—
1525	C₄⋊C₄	—	3	1	no	—
1526	C₄⋊C₄	—	3	1	no	—
1527	C₄⋊C₄	—	3	1	no	—
1528	C₄⋊C₄	—	3	1	no	—
1529	C₄⋊C₄	—	3	1	no	—
1530	C₄⋊C₄	—	5	1	no	—
1531	C₄⋊C₄	—	5	1	no	—
1532	C₄⋊C₄	—	5	1	no	—
1533	C₄⋊C₄	—	5	1	no	—
1534	C₄⋊C₄	—	5	1	no	—
1535	C₄⋊C₄	—	5	1	no	—
1536	C₄⋊C₄	—	5	1	no	—
1537	C₄⋊C₄	—	5	1	no	—
1538	C₄⋊C₄	—	5	1	no	—
1539	C₄⋊C₄	—	5	1	no	—
1540	C₄⋊C₄	—	5	1	no	—
1541	C₄⋊C₄	—	5	1	no	—
1542	C₄⋊C₄	—	5	1	no	—
1543	C₄⋊C₄	—	5	1	no	—
1544	C₄⋊C₄	—	5	1	no	—
1545	C₄⋊C₄	—	5	1	no	—
1546	C₄⋊C₄	—	5	1	no	—
1547	C₄⋊C₄	—	5	1	no	—
1548	C₄⋊C₄	—	15	1	no	—
1549	C₄⋊C₄	—	15	1	no	—
1550	C₄⋊C₄	—	15	1	no	—
1551	C₄⋊C₄	—	15	1	no	—
1552	C₄⋊C₄	—	15	1	no	—
1553	C₄⋊C₄	—	15	1	no	—
1554	C₄⋊C₄	—	15	1	no	—
1555	C₄⋊C₄	—	15	1	no	—
1556	C₄⋊C₄	—	15	1	no	—
1557	C₄⋊C₄	—	15	1	no	—
1558	C₄⋊C₄	—	15	1	no	—
1559	C₄⋊C₄	—	15	1	no	—
1560	C₄⋊C₄	—	15	1	no	—
1561	C₄⋊C₄	—	15	1	no	—
1562	C₄⋊C₄	—	15	1	no	—
1563	C₄⋊C₄	—	15	1	no	—
1564	C₄⋊C₄	—	15	1	no	—
1565	C₄⋊C₄	—	15	1	no	—
1566	C₄⋊C₄	—	15	1	no	—
1567	C₄⋊C₄	—	15	1	no	—
1568	C₄⋊C₄	—	15	1	no	—
1569	C₄⋊C₄	—	15	1	no	—
1570	C₄⋊C₄	—	15	1	no	—
1571	C₄⋊C₄	—	15	1	no	—
1572	C₄⋊C₄	—	15	1	no	—
1573	C₄⋊C₄	—	15	1	no	—
1574	C₄⋊C₄	—	15	1	no	—
1575	C₄⋊C₄	—	15	1	no	—
1576	C₄⋊C₄	—	15	1	no	—
1577	C₄⋊C₄	—	15	1	no	—
1578	C₄⋊C₄	—	15	1	no	—
1579	C₄⋊C₄	—	15	1	no	—
1580	C₄⋊C₄	—	15	1	no	—
1581	C₄⋊C₄	—	15	1	no	—
1582	C₄⋊C₄	—	15	1	no	—
1583	C₄⋊C₄	—	15	1	no	—
1584	C₄⋊C₄	—	15	1	no	—
1585	C₄⋊C₄	—	15	1	no	—
1586	C₄⋊C₄	—	15	1	no	—
1587	C₄⋊C₄	—	15	1	no	—
1588	C₄⋊C₄	—	15	1	no	—
1589	C₄⋊C₄	—	15	1	no	—
1590	C₄⋊C₄	C₂×D₃×D₅	1	1	yes	characteristic
1591	C₄⋊C₄	C₂×D₃×D₅	1	1	yes	characteristic
1592	C₄⋊C₄	C₂×D₃×D₅	1	1	yes	characteristic
1593	C₄⋊C₄	C₂×D₃×D₅	1	1	yes	characteristic
1594	C₄⋊C₄	C₂×D₃×D₅	1	1	yes	characteristic
1595	C₄⋊C₄	C₂×D₃×D₅	1	1	yes	characteristic
1596	C₂²⋊C₄	—	3	1	no	—
1597	C₂²⋊C₄	—	3	1	no	—
1598	C₂²⋊C₄	—	3	1	no	—
1599	C₂²⋊C₄	—	3	1	no	—
1600	C₂²⋊C₄	—	3	1	no	—
1601	C₂²⋊C₄	—	3	1	no	—
1602	C₂²⋊C₄	—	15	1	no	—
1603	C₂²⋊C₄	—	15	1	no	—
1604	C₂²⋊C₄	—	15	1	no	—
1605	C₂²⋊C₄	—	15	1	no	—
1606	C₂²⋊C₄	—	15	1	no	—
1607	C₂²⋊C₄	—	15	1	no	—
1608	C₂²⋊C₄	—	15	1	no	—
1609	C₂²⋊C₄	—	15	1	no	—
1610	C₂²⋊C₄	—	15	1	no	—
1611	C₂²⋊C₄	—	15	1	no	—
1612	C₂²⋊C₄	—	15	1	no	—
1613	C₂²⋊C₄	—	15	1	no	—
1614	C₂²⋊C₄	—	15	1	no	—
1615	C₂²⋊C₄	—	15	1	no	—
1616	C₂²⋊C₄	—	15	1	no	—
1617	C₂²⋊C₄	—	15	1	no	—
1618	C₂²⋊C₄	—	15	1	no	—
1619	C₂²⋊C₄	—	15	1	no	—
1620	C₄²	—	3	1	no	—
1621	C₄²	—	3	1	no	—
1622	C₄²	—	3	1	no	—
1623	C₄²	—	3	1	no	—
1624	C₄²	—	3	1	no	—
1625	C₄²	—	5	1	no	—
1626	C₄²	—	5	1	no	—
1627	C₄²	—	5	1	no	—
1628	C₄²	—	15	1	no	—
1629	C₄²	—	15	1	no	—
1630	C₄²	—	15	1	no	—
1631	C₄²	—	15	1	no	—
1632	C₄²	—	15	1	no	—
1633	C₄²	—	15	1	no	—
1634	C₄²	—	15	1	no	—
1635	C₄²	—	15	1	no	—
1636	C₄²	—	15	1	no	—
1637	C₄²	—	15	1	no	—
1638	C₄²	—	15	1	no	—
1639	C₄²	—	15	1	no	—
1640	C₄²	—	15	1	no	—
1641	C₄²	—	15	1	no	—
1642	C₄²	—	15	1	no	—
1643	C₄²	C₂×D₃×D₅	1	1	yes	characteristic
1644	C₃×C₅	C₂×#541	1	1	yes	characteristic, complemented, Hall
1645	C₂²×C₃	—	5	2	no	—
1646	C₂²×C₃	—	5	2	no	—
1647	C₂²×C₃	—	5	2	no	—
1648	C₂²×C₃	C₂⁴×D₅	1	1	yes	characteristic
1649	C₂×D₃	—	2	1	no	—
1650	C₂×D₃	—	2	1	no	—
1651	C₂×D₃	—	2	1	no	—
1652	C₂×D₃	—	10	1	no	—
1653	C₂×D₃	—	10	1	no	—
1654	C₂×D₃	—	10	1	no	—
1655	C₂×D₃	—	20	4	no	—
1656	C₃×C₄	—	2	1	no	—
1657	C₃×C₄	—	2	1	no	—
1658	C₃×C₄	—	2	1	no	—
1659	C₃×C₄	—	2	1	no	—
1660	C₃×C₄	—	2	1	no	—
1661	C₃×C₄	—	2	1	no	—
1662	C₃×C₄	—	2	1	no	—
1663	C₃×C₄	—	10	1	no	—
1664	C₃×C₄	—	10	1	no	—
1665	C₃×C₄	—	10	1	no	—
1666	C₃×C₄	—	10	1	no	—
1667	C₃×C₄	—	10	1	no	—
1668	C₃×C₄	—	10	1	no	—
1669	C₃×C₄	—	10	1	no	—
1670	Dic₃	—	2	1	no	—
1671	Dic₃	—	2	1	no	—
1672	Dic₃	—	2	1	no	—
1673	Dic₃	—	2	1	no	—
1674	Dic₃	—	2	1	no	—
1675	Dic₃	—	2	1	no	—
1676	Dic₃	—	5	2	no	—
1677	Dic₃	—	10	1	no	—
1678	Dic₃	—	10	1	no	—
1679	Dic₃	—	10	1	no	—
1680	Dic₃	—	10	1	no	—
1681	Dic₃	—	10	1	no	—
1682	Dic₃	—	10	1	no	—
1683	Dic₃	D₅×#41	1	2	yes	—
1684	C₂×C₅	—	12	1	no	—
1685	C₂×C₅	C₂×#1007	1	1	yes	characteristic
1686	C₂×C₅	C₂×D₃×#41	1	1	yes	characteristic
1687	C₂×C₅	C₂×#1010	1	1	yes	characteristic
1688	D₅	—	12	1	no	—
1689	D₅	#5696	1	4	yes	direct product factor
1690	C₂³	—	3	1	no	—
1691	C₂³	—	5	1	no	—
1692	C₂³	—	15	1	no	—
1693	C₂³	—	30	2	no	—
1694	C₂³	—	30	2	no	—
1695	C₂³	—	30	2	no	—
1696	Q₈	—	6	2	no	—
1697	Q₈	—	6	2	no	—
1698	Q₈	—	30	2	no	—
1699	Q₈	—	30	2	no	—
1700	Q₈	—	30	2	no	—
1701	Q₈	—	30	2	no	—
1702	Q₈	—	30	2	no	—
1703	Q₈	—	30	2	no	—
1704	C₂×C₄	—	3	1	no	—
1705	C₂×C₄	—	3	1	no	—
1706	C₂×C₄	—	3	1	no	—
1707	C₂×C₄	—	3	1	no	—
1708	C₂×C₄	—	3	1	no	—
1709	C₂×C₄	—	3	1	no	—
1710	C₂×C₄	—	3	1	no	—
1711	C₂×C₄	—	5	1	no	—
1712	C₂×C₄	—	5	1	no	—
1713	C₂×C₄	—	5	1	no	—
1714	C₂×C₄	—	5	1	no	—
1715	C₂×C₄	—	5	1	no	—
1716	C₂×C₄	—	5	1	no	—
1717	C₂×C₄	—	5	1	no	—
1718	C₂×C₄	—	6	2	no	—
1719	C₂×C₄	—	10	2	no	—
1720	C₂×C₄	—	10	2	no	—
1721	C₂×C₄	—	10	2	no	—
1722	C₂×C₄	—	10	2	no	—
1723	C₂×C₄	—	10	2	no	—
1724	C₂×C₄	—	10	2	no	—
1725	C₂×C₄	—	10	2	no	—
1726	C₂×C₄	—	15	4	no	—
1727	C₂×C₄	—	15	1	no	—
1728	C₂×C₄	—	15	1	no	—
1729	C₂×C₄	—	15	1	no	—
1730	C₂×C₄	—	15	1	no	—
1731	C₂×C₄	—	15	1	no	—
1732	C₂×C₄	—	15	1	no	—
1733	C₂×C₄	—	15	1	no	—
1734	C₂×C₄	—	30	2	no	—
1735	C₂×C₄	—	30	2	no	—
1736	C₂×C₄	—	30	2	no	—
1737	C₂×C₄	—	30	2	no	—
1738	C₂×C₄	—	30	2	no	—
1739	C₂×C₄	—	30	2	no	—
1740	C₂×C₄	—	30	2	no	—
1741	C₂×C₄	—	30	2	no	—
1742	C₂×C₄	—	30	2	no	—
1743	C₂×C₄	C₂²×D₃×D₅	1	1	yes	characteristic
1744	C₂×C₄	C₂²×D₃×D₅	1	1	yes	characteristic
1745	C₂×C₄	C₂²×D₃×D₅	1	1	yes	characteristic
1746	C₂×C₄	C₂²×D₃×D₅	1	1	yes	characteristic
1747	C₂×C₄	C₂²×D₃×D₅	1	1	yes	characteristic
1748	C₂×C₄	C₂²×D₃×D₅	1	1	yes	characteristic
1749	C₂×C₄	C₂²×D₃×D₅	1	1	yes	characteristic
1750	C₂×C₃	—	5	4	no	—
1751	C₂×C₃	C₂×D₅×#41	1	1	yes	characteristic
1752	C₂×C₃	D₅×2₋¹⁺⁴	1	1	yes	characteristic
1753	C₂×C₃	D₅×2₋¹⁺⁴	1	1	yes	characteristic
1754	D₃	—	4	1	no	—
1755	D₃	—	20	1	no	—
1756	C₅	C₂×#5696	1	1	yes	characteristic, complemented, Sylow
1757	C₂²	—	5	2	no	—
1758	C₂²	—	5	2	no	—
1759	C₂²	—	5	2	no	—
1760	C₂²	—	6	1	no	—
1761	C₂²	—	6	1	no	—
1762	C₂²	—	6	1	no	—
1763	C₂²	—	30	1	no	—
1764	C₂²	—	30	1	no	—
1765	C₂²	—	30	1	no	—
1766	C₂²	—	60	4	no	—
1767	C₂²	C₂³×D₃×D₅	1	1	yes	characteristic
1768	C₄	—	2	1	no	—
1769	C₄	—	2	1	no	—
1770	C₄	—	2	1	no	—
1771	C₄	—	2	1	no	—
1772	C₄	—	2	1	no	—
1773	C₄	—	2	1	no	—
1774	C₄	—	2	1	no	—
1775	C₄	—	3	2	no	—
1776	C₄	—	6	1	no	—
1777	C₄	—	6	1	no	—
1778	C₄	—	6	1	no	—
1779	C₄	—	6	1	no	—
1780	C₄	—	6	1	no	—
1781	C₄	—	6	1	no	—
1782	C₄	—	10	1	no	—
1783	C₄	—	10	1	no	—
1784	C₄	—	10	1	no	—
1785	C₄	—	10	1	no	—
1786	C₄	—	10	1	no	—
1787	C₄	—	10	1	no	—
1788	C₄	—	10	1	no	—
1789	C₄	—	15	2	no	—
1790	C₄	—	30	1	no	—
1791	C₄	—	30	1	no	—
1792	C₄	—	30	1	no	—
1793	C₄	—	30	1	no	—
1794	C₄	—	30	1	no	—
1795	C₄	—	30	1	no	—
1796	C₃	D₅×#541	1	1	yes	characteristic, complemented, Sylow
1797	C₂	—	5	4	no	—
1798	C₂	—	12	1	no	—
1799	C₂	—	60	1	no	—
1800	C₂	D₅×#1007	1	1	yes	characteristic
1801	C₂	D₃×D₅×#41	1	1	yes	characteristic
1802	C₂	D₅×#1010	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂³×D₃×D₅
commutator, socle, cosocle	C₂²×C₃×C₅	C₂⁵
Fitting	C₃×C₅×#125	C₂²
prime radical	C₂²×D₃×D₅	C₂³
hypercenter	#125	D₃×D₅
hypocenter	C₃×C₅	C₂×#541
LCS	G ▷ C₂²×C₃×C₅ ▷ C₃×C₅
UCS	C₁ ◁ C₂² ◁ #125

Complements

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

N	H ≅ G/N	type
1. #11756455	C₂	semidirect
2. C₅×#5696	C₂	semidirect
3. C₃×D₅×#125	C₂	semidirect
10. #11753831	C₂	semidirect
11. #11753830	C₂	semidirect
12. #11753635	C₂	semidirect
13. #11753609	C₂	semidirect
14. D₅×#890	C₂	semidirect
15. D₅×#889	C₂	semidirect
16. D₅×#889	C₂	semidirect
17. D₅×#889	C₂	semidirect
18. D₅×#888	C₂	semidirect
19. D₅×#887	C₂	semidirect
20. #11753385	C₂	semidirect
21. #11753328	C₂	semidirect
22. #11753327	C₂	semidirect
23. #11753324	C₂	semidirect
24. #11753322	C₂	semidirect
25. #11753320	C₂	semidirect
26. #11753319	C₂	semidirect
27. #11753316	C₂	semidirect
29. #11752629	C₂	semidirect
30. #11752614	C₂	semidirect
31. C₄×D₅×Dic₆	C₂	semidirect
36. C₃×C₅×#125	C₂²	semidirect
43. #91779	C₂²	semidirect
44. #91778	C₂²	semidirect
45. #91778	C₂²	semidirect
46. #91778	C₂²	semidirect
47. #91777	C₂²	semidirect
48. #91776	C₂²	semidirect
50. C₄×Dic₃₀	C₂²	semidirect
57. C₅×#890	C₂²	semidirect
58. C₅×#889	C₂²	semidirect
59. C₅×#889	C₂²	semidirect
60. C₅×#889	C₂²	semidirect
61. C₅×#888	C₂²	semidirect
62. C₅×#887	C₂²	semidirect
64. C₄×C₅×Dic₆	C₂²	semidirect
71. C₃×#4036	C₂²	semidirect
72. C₃×#4036	C₂²	semidirect
73. C₃×#4035	C₂²	semidirect
74. C₃×#4035	C₂²	semidirect
75. C₃×#4035	C₂²	semidirect
76. C₃×#4035	C₂²	semidirect
78. C₃×#4016	C₂²	semidirect
85. #91470	C₂²	semidirect
86. #91469	C₂²	semidirect
87. C₄×#1204	C₂²	semidirect
88. C₄×#1204	C₂²	semidirect
123. #91384	C₂²	semidirect
124. #91382	C₂²	semidirect
125. #91382	C₂²	semidirect
126. #91382	C₂²	semidirect
127. #91381	C₂²	semidirect
131. #91379	C₂²	semidirect
132. #91379	C₂²	semidirect
133. #91379	C₂²	semidirect
145. #91346	C₂²	semidirect
146. #91346	C₂²	semidirect
147. #91346	C₂²	semidirect
151. #91344	C₂²	semidirect
152. #91343	C₂²	semidirect
153. #91343	C₂²	semidirect
154. #91343	C₂²	semidirect
161. #91340	C₂²	semidirect
162. #91339	C₂²	semidirect
163. #91339	C₂²	semidirect
164. #91339	C₂²	semidirect
169. #91336	C₂²	semidirect
170. #91336	C₂²	semidirect
171. #91336	C₂²	semidirect
172. #91335	C₂²	semidirect
173. #91335	C₂²	semidirect
174. #91334	C₂²	semidirect
175. #91334	C₂²	semidirect
176. #91333	C₂²	semidirect
177. Dic₅×Dic₆	C₂²	semidirect
178. #91329	C₂²	semidirect
179. #91329	C₂²	semidirect
180. #91328	C₂²	semidirect
181. #91328	C₂²	semidirect
182. #91325	C₂²	semidirect
183. #91325	C₂²	semidirect
184. #91324	C₂²	semidirect
185. #91324	C₂²	semidirect
186. #91323	C₂²	semidirect
187. #91323	C₂²	semidirect
209. D₅×#125	D₃	semidirect
394. #5696	D₅	direct (N × H)
421. C₅×#125	C₂×D₃	semidirect
484. #4036	C₂×D₃	semidirect
485. #4036	C₂×D₃	semidirect
502. #4035	C₂×D₃	semidirect
503. #4035	C₂×D₃	semidirect
504. #4035	C₂×D₃	semidirect
505. #4035	C₂×D₃	semidirect
556. #4016	C₂×D₃	semidirect
635. C₃×#125	C₂×D₅	semidirect
723. #890	C₂×D₅	semidirect
745. #889	C₂×D₅	semidirect
746. #889	C₂×D₅	semidirect
747. #889	C₂×D₅	semidirect
755. #888	C₂×D₅	semidirect
763. #887	C₂×D₅	semidirect
779. C₄×Dic₆	C₂×D₅	semidirect
1308. #125	D₃×D₅	semidirect
1385. C₃×D₅	#541	semidirect
1644. C₃×C₅	C₂×#541	semidirect
1689. D₅	#5696	direct (N × H)
1756. C₅	C₂×#5696	semidirect
1796. C₃	D₅×#541	semidirect

Maximal subgroups

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

subgroup	index
#11756455	2
C₅×#5696	2
C₃×D₅×#125	2
D₅×#898	2
D₅×#896	2
D₅×#892	2
#11753831	2
#11753830	2
#11753635	2
#11753609	2
D₅×#890	2
D₅×#889	2
D₅×#888	2
D₅×#887	2
#11753385	2
#11753328	2
#11753327	2
#11753324	2
#11753322	2
#11753320	2
#11753319	2
#11753316	2
D₅×#876	2
#11752629	2
#11752614	2
C₄×D₅×Dic₆	2
D₅×#541	3
C₂×#5696	5

Subgroups — D5×#5696 #14481295

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₅×#5696 #14481295