Subgroups — C₅×#86627 #14484108

Order 1920.

2264 conjugacy classes of subgroups.

The subgroup lattice has 1316 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×C₅×#546	C₂	1	1	yes	maximal, characteristic, complemented
2	C₅×Dic₃×#41	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#5824	C₂	1	1	yes	maximal, characteristic, complemented
4	C₅×#5806	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×C₅×D₄×Dic₃	C₂	1	1	yes	maximal, characteristic, complemented
6	C₅×#5680	C₂	1	1	yes	maximal, characteristic, complemented
7	C₅×#5671	C₂	1	1	yes	maximal, characteristic, complemented
8	C₅×#5650	C₂	1	2	yes	maximal, complemented
9	C₅×#5649	C₂	1	2	yes	maximal, complemented
10	C₅×#5642	C₂	1	1	yes	maximal, characteristic, complemented
11	C₅×#5622	C₂	1	1	yes	maximal, characteristic, complemented
12	C₅×#5616	C₂	1	1	yes	maximal, characteristic, complemented
13	C₅×#5601	C₂	1	2	yes	maximal, complemented
14	C₅×#5600	C₂	1	2	yes	maximal, complemented
15	C₅×#5600	C₂	1	1	yes	maximal, characteristic, complemented
16	C₅×#5587	C₂	1	2	yes	maximal, complemented
17	C₅×#5586	C₂	1	2	yes	maximal, complemented
18	C₅×#5541	C₂	1	1	yes	maximal, characteristic, complemented
19	C₅×#5539	C₂	1	1	yes	maximal, characteristic, complemented
20	C₄×C₅×#237	C₂	1	1	yes	maximal, characteristic, complemented
21	C₄×C₅×#237	C₂	1	1	yes	maximal, characteristic, complemented
22	C₅×#5495	C₂	1	2	yes	maximal, complemented
23	C₂×C₅×#877	C₂	1	2	yes	maximal, complemented
24	C₅×#3475	—	3	1	no	maximal, Hall
25	C₂×C₃×C₅×#41	C₂²	1	1	yes	characteristic
26	C₂²×C₃×C₅×D₄	C₂²	1	1	yes	characteristic
27	C₂³×C₅×Dic₃	C₂²	1	2	yes	—
28	C₂×C₅×#237	C₂²	1	1	yes	characteristic
29	C₂×C₅×#237	C₂²	1	1	yes	characteristic
30	C₃×C₅×#124	C₂²	1	1	yes	characteristic
31	C₃×C₅×#123	C₂²	1	2	yes	—
32	C₃×C₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
33	C₃×C₅×#121	C₂²	1	2	yes	—
34	C₃×C₅×#121	C₂²	1	1	yes	characteristic
35	C₃×C₅×#120	C₂²	1	2	yes	—
36	C₃×C₄×C₅×D₄	C₂²	1	1	yes	characteristic
37	C₃×C₄×C₅×D₄	C₂²	1	1	yes	characteristic
38	C₂×C₃×C₅×C₂²⋊C₄	C₂²	1	2	yes	—
39	C₅×#953	C₂²	1	2	yes	—
40	C₂×C₅×#217	C₂²	1	2	yes	—
41	C₂×C₅×#217	C₂²	1	2	yes	—
42	C₅×#946	C₂²	1	1	yes	characteristic, complemented
43	C₅×Q₈×Dic₃	C₂²	1	1	yes	characteristic, complemented
44	C₅×Q₈×Dic₃	C₂²	1	1	yes	characteristic, complemented
45	C₅×#944	C₂²	1	1	yes	characteristic, complemented
46	C₅×#939	C₂²	1	2	yes	—
47	C₅×#939	C₂²	1	2	yes	complemented
48	C₅×#939	C₂²	1	2	yes	complemented
49	C₅×#938	C₂²	1	1	yes	characteristic
50	C₅×#936	C₂²	1	1	yes	characteristic
51	C₅×#936	C₂²	1	2	yes	complemented
52	C₅×#935	C₂²	1	2	yes	—
53	C₅×#935	C₂²	1	2	yes	—
54	C₅×#935	C₂²	1	2	yes	complemented
55	C₅×#935	C₂²	1	2	yes	complemented
56	C₅×D₄×Dic₃	C₂²	1	2	yes	—
57	C₅×D₄×Dic₃	C₂²	1	2	yes	—
58	C₅×D₄×Dic₃	C₂²	1	1	yes	characteristic
59	C₅×D₄×Dic₃	C₂²	1	1	yes	characteristic
60	C₅×D₄×Dic₃	C₂²	1	1	yes	characteristic
61	C₅×D₄×Dic₃	C₂²	1	1	yes	characteristic
62	C₅×D₄×Dic₃	C₂²	1	1	yes	characteristic
63	C₅×D₄×Dic₃	C₂²	1	1	yes	characteristic
64	C₅×D₄×Dic₃	C₂²	1	2	yes	complemented
65	C₅×D₄×Dic₃	C₂²	1	2	yes	complemented
66	C₅×D₄×Dic₃	C₂²	1	2	yes	complemented
67	C₅×#929	C₂²	1	2	yes	complemented
68	C₄×C₅×#67	C₂²	1	1	yes	characteristic
69	C₄×C₅×#67	C₂²	1	2	yes	complemented
70	C₄×C₅×#67	C₂²	1	1	yes	characteristic, complemented
71	C₅×#926	C₂²	1	2	yes	complemented
72	C₅×#926	C₂²	1	1	yes	characteristic, complemented
73	C₂×C₅×C₄⋊Dic₃	C₂²	1	1	yes	characteristic
74	C₅×#924	C₂²	1	1	yes	characteristic
75	C₅×#924	C₂²	1	2	yes	complemented
76	C₅×#924	C₂²	1	1	yes	characteristic, complemented
77	C₂×C₅×Dic₃⋊C₄	C₂²	1	2	yes	complemented
78	C₂×C₅×Dic₃⋊C₄	C₂²	1	2	yes	complemented
79	C₂×C₄×C₅×Dic₃	C₂²	1	1	yes	characteristic
80	C₂×C₄×C₅×Dic₃	C₂²	1	2	yes	complemented
81	C₂×C₄×C₅×Dic₃	C₂²	1	2	yes	complemented
82	C₂×C₄×C₅×Dic₃	C₂²	1	1	yes	characteristic, complemented
83	C₅×#898	C₂²	1	2	yes	complemented
84	C₅×#892	C₂²	1	1	yes	characteristic, complemented
85	C₅×#892	C₂²	1	1	yes	characteristic, complemented
86	C₅×#890	C₂²	1	2	yes	complemented
87	C₅×#890	C₂²	1	1	yes	characteristic, complemented
88	C₅×#889	C₂²	1	2	yes	complemented
89	C₅×#889	C₂²	1	2	yes	complemented
90	C₅×#888	C₂²	1	1	yes	characteristic, complemented
91	C₅×#887	C₂²	1	2	yes	complemented
92	C₅×#887	C₂²	1	1	yes	characteristic, complemented
93	C₅×#887	C₂²	1	1	yes	characteristic, complemented
94	C₅×#886	C₂²	1	2	yes	—
95	C₅×#885	C₂²	1	2	yes	complemented
96	C₅×#883	C₂²	1	2	yes	complemented
97	C₅×#67⋊C₄	C₂²	1	1	yes	characteristic
98	C₅×#67⋊C₄	C₂²	1	2	yes	complemented
99	C₅×#67⋊C₄	C₂²	1	2	yes	complemented
100	C₅×#67⋊C₄	C₂²	1	1	yes	characteristic, complemented
101	C₅×#879	C₂²	1	2	yes	complemented
102	C₅×#879	C₂²	1	2	yes	complemented
103	C₅×#879	C₂²	1	2	yes	complemented
104	C₅×#879	C₂²	1	2	yes	complemented
105	C₅×#879	C₂²	1	2	yes	complemented
106	C₅×#878	C₂²	1	2	yes	—
107	C₅×#878	C₂²	1	2	yes	complemented
108	C₅×#878	C₂²	1	2	yes	complemented
109	C₅×#878	C₂²	1	2	yes	complemented
110	C₅×#877	C₂²	1	1	yes	characteristic
111	C₅×#877	C₂²	1	2	yes	—
112	C₅×#877	C₂²	1	2	yes	—
113	C₅×#877	C₂²	1	2	yes	—
114	C₅×#877	C₂²	1	2	yes	complemented
115	C₅×#877	C₂²	1	2	yes	complemented
116	C₅×#877	C₂²	1	2	yes	complemented
117	C₅×#877	C₂²	1	2	yes	complemented
118	C₅×#877	C₂²	1	2	yes	complemented
119	C₅×#877	C₂²	1	1	yes	characteristic, complemented
120	C₄²×C₅×D₃	C₂²	1	1	yes	characteristic, complemented
121	C₅×#870	C₂²	1	1	yes	characteristic, complemented
122	C₄×C₅×Dic₆	C₂²	1	1	yes	characteristic, complemented
123	C₄×C₅×Dic₆	C₂²	1	1	yes	characteristic, complemented
124	#86627	C₅	1	1	yes	maximal, characteristic, direct product factor, Hall
125	C₅×#556	—	3	1	no	—
126	C₅×#555	—	3	1	no	—
127	C₅×#554	—	3	1	no	—
128	C₅×#553	—	3	2	no	—
129	C₅×#552	—	3	2	no	—
130	C₅×#552	—	3	1	no	—
131	C₅×#552	—	3	1	no	—
132	C₅×#551	—	3	2	no	—
133	C₅×#551	—	3	2	no	—
134	C₅×#547	—	3	1	no	—
135	C₅×#546	—	3	1	no	—
136	C₅×#546	D₃	1	1	yes	characteristic, complemented
137	C₅×#533	—	3	1	no	—
138	C₅×#529	—	3	1	no	—
139	C₅×#529	—	3	2	no	—
140	C₅×#529	—	3	2	no	—
141	C₅×#529	—	3	1	no	—
142	C₅×#525	—	3	2	no	—
143	C₄×C₅×#41	—	3	1	no	—
144	C₄×C₅×#41	—	3	1	no	—
145	C₄×C₅×#41	—	3	1	no	—
146	C₂×C₄×C₅×D₄	—	3	1	no	—
147	C₂×C₅×#117	—	3	2	no	—
148	C₂⁴×C₃×C₅	C₂³	1	2	yes	—
149	C₃×C₅×#41	—	2	4	no	—
150	C₂×C₃×C₅×Q₈	C₂³	1	1	yes	characteristic
151	C₂×C₃×C₅×D₄	—	2	4	no	—
152	C₂×C₃×C₅×D₄	C₂³	1	2	yes	—
153	C₂×C₃×C₅×D₄	C₂³	1	1	yes	characteristic
154	C₂×C₃×C₅×D₄	C₂³	1	1	yes	characteristic
155	C₂×C₃×C₅×D₄	C₂³	1	2	yes	—
156	C₂×C₃×C₅×D₄	C₂³	1	2	yes	—
157	C₂×C₃×C₅×D₄	C₂³	1	1	yes	characteristic
158	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
159	C₂²×C₃×C₄×C₅	C₂³	1	2	yes	—
160	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
161	C₂²×C₃×C₄×C₅	C₂³	1	2	yes	—
162	C₂×C₅×#67	C₂³	1	1	yes	characteristic
163	C₂×C₅×#67	C₂³	1	2	yes	—
164	C₂×C₅×#67	C₂³	1	1	yes	characteristic
165	C₂×C₅×#67	C₂³	1	2	yes	—
166	C₂²×C₅×Dic₃	—	2	8	no	—
167	C₂²×C₅×Dic₃	C₂³	1	2	yes	—
168	C₂²×C₅×Dic₃	C₂³	1	2	yes	—
169	C₂²×C₅×Dic₃	C₂³	1	2	yes	—
170	C₂²×C₅×Dic₃	C₂³	1	2	yes	—
171	C₂²×C₅×Dic₃	C₂³	1	1	yes	characteristic
172	C₂²×C₅×Dic₃	C₂³	1	2	yes	—
173	C₂²×C₅×Dic₃	C₂³	1	2	yes	—
174	C₂²×C₅×Dic₃	C₂³	1	1	yes	characteristic
175	C₂²×C₅×Dic₃	C₂³	1	2	yes	—
176	C₂²×C₅×Dic₃	C₂³	1	1	yes	characteristic
177	C₂²×C₅×Dic₃	C₂³	1	1	yes	characteristic
178	C₅×#237	—	2	4	no	—
179	C₅×#237	—	2	4	no	—
180	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic
181	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic
182	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic
183	C₂×C₅×Dic₆	C₂³	1	1	yes	characteristic
184	C₂×C₅×Dic₆	C₂³	1	1	yes	characteristic
185	C₂×C₅×Dic₆	C₂³	1	2	yes	—
186	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
187	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
188	C₃×C₅×C₄⋊C₄	C₂³	1	2	yes	—
189	C₃×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
190	C₃×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
191	C₃×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
192	C₃×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
193	C₃×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
194	C₃×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
195	C₃×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
196	C₃×C₄²×C₅	C₂³	1	1	yes	characteristic
197	C₅×#217	C₂³	1	1	yes	characteristic
198	C₅×#217	C₂³	1	2	yes	—
199	C₅×#217	C₂³	1	2	yes	—
200	C₅×#217	C₂³	1	2	yes	—
201	C₅×#217	C₂³	1	2	yes	—
202	C₅×#217	C₂³	1	1	yes	characteristic
203	C₅×#217	C₂³	1	2	yes	—
204	C₅×#217	C₂³	1	2	yes	—
205	C₅×#217	C₂³	1	2	yes	—
206	C₅×#217	C₂³	1	2	yes	—
207	C₅×#217	C₂³	1	2	yes	—
208	C₅×#217	C₂³	1	2	yes	—
209	C₅×#217	C₂³	1	2	yes	—
210	C₅×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
211	C₅×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
212	C₅×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
213	C₅×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
214	C₅×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
215	C₅×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
216	C₅×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
217	C₅×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
218	C₅×C₄⋊Dic₃	C₂³	1	2	yes	—
219	C₅×C₄⋊Dic₃	C₂³	1	2	yes	—
220	C₅×C₄⋊Dic₃	C₂³	1	2	yes	—
221	C₅×C₄⋊Dic₃	C₂³	1	2	yes	—
222	C₅×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
223	C₅×Dic₃⋊C₄	C₂³	1	2	yes	—
224	C₅×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
225	C₅×Dic₃⋊C₄	C₂³	1	2	yes	—
226	C₅×Dic₃⋊C₄	C₂³	1	2	yes	—
227	C₅×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
228	C₅×Dic₃⋊C₄	C₂³	1	2	yes	—
229	C₅×Dic₃⋊C₄	C₂³	1	2	yes	—
230	C₅×Dic₃⋊C₄	C₂³	1	2	yes	—
231	C₅×Dic₃⋊C₄	C₂³	1	2	yes	—
232	C₅×Dic₃⋊C₄	C₂³	1	2	yes	—
233	C₅×Dic₃⋊C₄	C₂³	1	2	yes	—
234	C₅×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
235	C₅×Dic₃⋊C₄	C₂³	1	2	yes	—
236	C₅×Dic₃⋊C₄	C₂³	1	2	yes	—
237	C₄×C₅×Dic₃	C₂³	1	2	yes	—
238	C₄×C₅×Dic₃	C₂³	1	1	yes	characteristic
239	C₄×C₅×Dic₃	C₂³	1	1	yes	characteristic
240	C₄×C₅×Dic₃	C₂³	1	1	yes	characteristic
241	C₄×C₅×Dic₃	C₂³	1	1	yes	characteristic
242	C₄×C₅×Dic₃	C₂³	1	1	yes	characteristic
243	C₄×C₅×Dic₃	C₂³	1	2	yes	—
244	C₄×C₅×Dic₃	C₂³	1	1	yes	characteristic
245	C₄×C₅×Dic₃	C₂³	1	2	yes	—
246	C₄×C₅×Dic₃	C₂³	1	2	yes	—
247	C₄×C₅×Dic₃	C₂³	1	2	yes	—
248	C₄×C₅×Dic₃	C₂³	1	2	yes	—
249	C₄×C₅×Dic₃	C₂³	1	1	yes	characteristic
250	C₄×C₅×Dic₃	C₂³	1	1	yes	characteristic
251	C₄×C₅×Dic₃	C₂³	1	1	yes	characteristic
252	C₃×#546	C₂×C₅	1	1	yes	characteristic, complemented
253	Dic₃×#41	C₂×C₅	1	1	yes	characteristic, complemented
254	#5824	C₂×C₅	1	1	yes	characteristic, complemented
255	#5806	C₂×C₅	1	1	yes	characteristic, complemented
256	C₂×D₄×Dic₃	C₂×C₅	1	1	yes	characteristic, complemented
257	#5680	C₂×C₅	1	1	yes	characteristic, complemented
258	#5671	C₂×C₅	1	1	yes	characteristic, complemented
259	#5650	C₂×C₅	1	2	yes	complemented
260	#5649	C₂×C₅	1	2	yes	complemented
261	#5642	C₂×C₅	1	1	yes	characteristic, complemented
262	#5622	C₂×C₅	1	1	yes	characteristic, complemented
263	#5616	C₂×C₅	1	1	yes	characteristic, complemented
264	#5601	C₂×C₅	1	2	yes	complemented
265	#5600	C₂×C₅	1	2	yes	complemented
266	#5600	C₂×C₅	1	1	yes	characteristic, complemented
267	#5587	C₂×C₅	1	2	yes	complemented
268	#5586	C₂×C₅	1	2	yes	complemented
269	#5541	C₂×C₅	1	1	yes	characteristic, complemented
270	#5539	C₂×C₅	1	1	yes	characteristic, complemented
271	C₄×#237	C₂×C₅	1	1	yes	characteristic, complemented
272	C₄×#237	C₂×C₅	1	1	yes	characteristic, complemented
273	#5495	C₂×C₅	1	2	yes	complemented
274	C₂×#877	C₂×C₅	1	2	yes	complemented
275	C₂×C₅×#41	—	3	1	no	—
276	C₂×C₅×#41	—	3	1	no	—
277	C₂×C₅×#41	C₂×D₃	1	1	yes	characteristic
278	C₂²×C₅×D₄	C₂×D₃	1	1	yes	characteristic
279	C₂³×C₄×C₅	—	3	2	no	—
280	C₅×C₄⋊Q₈	—	3	1	no	—
281	C₅×C₄⋊Q₈	—	3	1	no	—
282	C₅×#126	—	3	2	no	—
283	C₅×#126	—	3	2	no	—
284	C₅×#126	—	3	2	no	—
285	C₅×#126	—	3	2	no	—
286	C₅×#126	—	3	2	no	—
287	C₅×#126	—	3	2	no	—
288	C₅×#125	—	3	2	no	—
289	C₅×#125	—	3	2	no	—
290	C₅×#125	—	3	2	no	—
291	C₅×#125	—	3	1	no	—
292	C₅×#125	—	3	1	no	—
293	C₅×#124	—	3	1	no	—
294	C₅×#124	—	3	2	no	—
295	C₅×#124	—	3	2	no	—
296	C₅×#124	C₂×D₃	1	1	yes	characteristic
297	C₅×#123	—	3	2	no	—
298	C₅×#123	—	3	2	no	—
299	C₅×#123	—	3	2	no	—
300	C₅×#123	—	3	2	no	—
301	C₅×#123	—	3	2	no	—
302	C₅×#123	—	3	2	no	—
303	C₅×#123	—	3	2	no	—
304	C₅×#123	C₂×D₃	1	2	yes	—
305	C₅×C₂²⋊Q₈	—	3	1	no	—
306	C₅×C₂²⋊Q₈	—	3	1	no	—
307	C₅×C₂²⋊Q₈	—	3	1	no	—
308	C₅×C₂²⋊Q₈	—	3	2	no	—
309	C₅×C₂²⋊Q₈	—	3	2	no	—
310	C₅×C₂²⋊Q₈	—	3	2	no	—
311	C₅×C₂²⋊Q₈	—	3	2	no	—
312	C₅×C₂²⋊Q₈	—	3	2	no	—
313	C₅×C₂²⋊Q₈	C₂×D₃	1	1	yes	characteristic
314	C₅×#121	—	3	1	no	—
315	C₅×#121	—	3	2	no	—
316	C₅×#121	—	3	2	no	—
317	C₅×#121	—	3	2	no	—
318	C₅×#121	C₂×D₃	1	2	yes	—
319	C₅×#121	C₂×D₃	1	1	yes	characteristic
320	C₅×#120	—	3	2	no	—
321	C₅×#120	C₂×D₃	1	2	yes	—
322	C₄×C₅×Q₈	—	3	1	no	—
323	C₄×C₅×Q₈	—	3	1	no	—
324	C₄×C₅×Q₈	—	3	1	no	—
325	C₄×C₅×Q₈	—	3	1	no	—
326	C₄×C₅×Q₈	—	3	2	no	—
327	C₄×C₅×Q₈	—	3	1	no	—
328	C₄×C₅×Q₈	—	3	1	no	—
329	C₄×C₅×D₄	—	3	1	no	—
330	C₄×C₅×D₄	—	3	1	no	—
331	C₄×C₅×D₄	—	3	2	no	—
332	C₄×C₅×D₄	—	3	1	no	—
333	C₄×C₅×D₄	—	3	2	no	—
334	C₄×C₅×D₄	—	3	1	no	—
335	C₄×C₅×D₄	—	3	1	no	—
336	C₄×C₅×D₄	—	3	1	no	—
337	C₄×C₅×D₄	—	3	2	no	—
338	C₄×C₅×D₄	—	3	2	no	—
339	C₄×C₅×D₄	—	3	2	no	—
340	C₄×C₅×D₄	—	3	1	no	—
341	C₄×C₅×D₄	—	3	1	no	—
342	C₄×C₅×D₄	—	3	2	no	—
343	C₄×C₅×D₄	—	3	1	no	—
344	C₄×C₅×D₄	—	3	2	no	—
345	C₄×C₅×D₄	—	3	1	no	—
346	C₄×C₅×D₄	—	3	2	no	—
347	C₄×C₅×D₄	C₂×D₃	1	1	yes	characteristic
348	C₄×C₅×D₄	C₂×D₃	1	1	yes	characteristic
349	C₅×#117	—	3	2	no	—
350	C₅×#117	—	3	1	no	—
351	C₅×#117	—	3	1	no	—
352	C₅×#117	—	3	1	no	—
353	C₅×#117	—	3	1	no	—
354	C₅×#117	—	3	2	no	—
355	C₅×#117	—	3	2	no	—
356	C₅×#117	—	3	2	no	—
357	C₅×#117	—	3	2	no	—
358	C₅×#117	—	3	2	no	—
359	C₅×#117	—	3	2	no	—
360	C₅×#117	—	3	2	no	—
361	C₅×#117	—	3	1	no	—
362	C₅×#117	—	3	2	no	—
363	C₂×C₅×C₄⋊C₄	—	3	2	no	—
364	C₂×C₅×C₄⋊C₄	—	3	2	no	—
365	C₂×C₅×C₄⋊C₄	—	3	1	no	—
366	C₂×C₅×C₂²⋊C₄	—	3	2	no	—
367	C₂×C₅×C₂²⋊C₄	—	3	2	no	—
368	C₂×C₅×C₂²⋊C₄	C₂×D₃	1	2	yes	—
369	C₂×C₄²×C₅	—	3	1	no	—
370	C₂×C₄²×C₅	—	3	2	no	—
371	C₂×C₄²×C₅	—	3	2	no	—
372	C₂×C₄²×C₅	—	3	1	no	—
373	C₂×C₄²×C₅	—	3	1	no	—
374	#3475	—	3	1	no	Sylow
375	C₂³×C₃×C₅	—	2	4	no	—
376	C₂³×C₃×C₅	—	2	4	no	—
377	C₂³×C₃×C₅	—	4	2	no	—
378	C₂³×C₃×C₅	C₂⁴	1	2	yes	—
379	C₂³×C₃×C₅	C₂⁴	1	1	yes	characteristic
380	C₂³×C₃×C₅	C₂⁴	1	1	yes	characteristic
381	C₂³×C₃×C₅	C₂⁴	1	2	yes	—
382	C₂²×C₅×D₃	C₂⁴	1	1	yes	characteristic
383	C₃×C₅×Q₈	—	2	2	no	—
384	C₃×C₅×D₄	—	2	2	no	—
385	C₃×C₅×D₄	—	2	4	no	—
386	C₃×C₅×D₄	—	2	4	no	—
387	C₃×C₅×D₄	—	2	2	no	—
388	C₃×C₅×D₄	—	4	2	no	—
389	C₃×C₅×D₄	#41	1	4	yes	complemented
390	C₂×C₃×C₄×C₅	—	2	4	no	—
391	C₂×C₃×C₄×C₅	—	2	2	no	—
392	C₂×C₃×C₄×C₅	—	2	2	no	—
393	C₂×C₃×C₄×C₅	—	4	2	no	—
394	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
395	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
396	C₂×C₃×C₄×C₅	C₂⁴	1	2	yes	—
397	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
398	C₂×C₃×C₄×C₅	C₂⁴	1	2	yes	—
399	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
400	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
401	C₅×#67	—	2	4	no	—
402	C₅×#67	—	2	2	no	—
403	C₅×#67	—	2	2	no	—
404	C₅×#67	—	4	2	no	—
405	C₂×C₅×Dic₃	—	2	4	no	—
406	C₂×C₅×Dic₃	—	2	4	no	—
407	C₂×C₅×Dic₃	—	2	2	no	—
408	C₂×C₅×Dic₃	—	2	4	no	—
409	C₂×C₅×Dic₃	—	2	4	no	—
410	C₂×C₅×Dic₃	—	2	4	no	—
411	C₂×C₅×Dic₃	—	2	4	no	—
412	C₂×C₅×Dic₃	—	4	1	no	—
413	C₂×C₅×Dic₃	—	4	2	no	—
414	C₂×C₅×Dic₃	—	4	1	no	—
415	C₂×C₅×Dic₃	#41	1	4	yes	complemented
416	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
417	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
418	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
419	C₂×C₅×Dic₃	C₂⁴	1	2	yes	—
420	C₂×C₅×Dic₃	C₂⁴	1	2	yes	—
421	C₂×C₅×Dic₃	C₂⁴	1	2	yes	—
422	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
423	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
424	C₂×C₅×Dic₃	C₂⁴	1	2	yes	—
425	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
426	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
427	C₄×C₅×D₃	—	2	2	no	—
428	C₄×C₅×D₃	—	2	2	no	—
429	C₄×C₅×D₃	—	4	1	no	—
430	C₅×Dic₆	—	2	2	no	—
431	C₅×Dic₆	—	2	2	no	—
432	C₅×Dic₆	—	4	2	no	—
433	C₂×C₃×#41	C₂²×C₅	1	1	yes	characteristic
434	C₂²×C₃×D₄	C₂²×C₅	1	1	yes	characteristic
435	C₂³×Dic₃	C₂²×C₅	1	2	yes	—
436	C₂×#237	C₂²×C₅	1	1	yes	characteristic
437	C₂×#237	C₂²×C₅	1	1	yes	characteristic
438	C₃×#124	C₂²×C₅	1	1	yes	characteristic
439	C₃×#123	C₂²×C₅	1	2	yes	—
440	C₃×C₂²⋊Q₈	C₂²×C₅	1	1	yes	characteristic
441	C₃×#121	C₂²×C₅	1	2	yes	—
442	C₃×#121	C₂²×C₅	1	1	yes	characteristic
443	C₃×#120	C₂²×C₅	1	2	yes	—
444	C₃×C₄×D₄	C₂²×C₅	1	1	yes	characteristic
445	C₃×C₄×D₄	C₂²×C₅	1	1	yes	characteristic
446	C₂×C₃×C₂²⋊C₄	C₂²×C₅	1	2	yes	—
447	#953	C₂²×C₅	1	2	yes	—
448	C₂×#217	C₂²×C₅	1	2	yes	—
449	C₂×#217	C₂²×C₅	1	2	yes	—
450	#946	C₂²×C₅	1	1	yes	characteristic, complemented
451	Q₈×Dic₃	C₂²×C₅	1	1	yes	characteristic, complemented
452	Q₈×Dic₃	C₂²×C₅	1	1	yes	characteristic, complemented
453	#944	C₂²×C₅	1	1	yes	characteristic, complemented
454	#939	C₂²×C₅	1	2	yes	—
455	#939	C₂²×C₅	1	2	yes	complemented
456	#939	C₂²×C₅	1	2	yes	complemented
457	#938	C₂²×C₅	1	1	yes	characteristic
458	#936	C₂²×C₅	1	1	yes	characteristic
459	#936	C₂²×C₅	1	2	yes	complemented
460	#935	C₂²×C₅	1	2	yes	—
461	#935	C₂²×C₅	1	2	yes	—
462	#935	C₂²×C₅	1	2	yes	complemented
463	#935	C₂²×C₅	1	2	yes	complemented
464	D₄×Dic₃	C₂²×C₅	1	2	yes	—
465	D₄×Dic₃	C₂²×C₅	1	2	yes	—
466	D₄×Dic₃	C₂²×C₅	1	1	yes	characteristic
467	D₄×Dic₃	C₂²×C₅	1	1	yes	characteristic
468	D₄×Dic₃	C₂²×C₅	1	1	yes	characteristic
469	D₄×Dic₃	C₂²×C₅	1	1	yes	characteristic
470	D₄×Dic₃	C₂²×C₅	1	1	yes	characteristic
471	D₄×Dic₃	C₂²×C₅	1	1	yes	characteristic
472	D₄×Dic₃	C₂²×C₅	1	2	yes	complemented
473	D₄×Dic₃	C₂²×C₅	1	2	yes	complemented
474	D₄×Dic₃	C₂²×C₅	1	2	yes	complemented
475	#929	C₂²×C₅	1	2	yes	complemented
476	C₄×#67	C₂²×C₅	1	1	yes	characteristic
477	C₄×#67	C₂²×C₅	1	2	yes	complemented
478	C₄×#67	C₂²×C₅	1	1	yes	characteristic, complemented
479	#926	C₂²×C₅	1	2	yes	complemented
480	#926	C₂²×C₅	1	1	yes	characteristic, complemented
481	C₂×C₄⋊Dic₃	C₂²×C₅	1	1	yes	characteristic
482	#924	C₂²×C₅	1	1	yes	characteristic
483	#924	C₂²×C₅	1	2	yes	complemented
484	#924	C₂²×C₅	1	1	yes	characteristic, complemented
485	C₂×Dic₃⋊C₄	C₂²×C₅	1	2	yes	complemented
486	C₂×Dic₃⋊C₄	C₂²×C₅	1	2	yes	complemented
487	C₂×C₄×Dic₃	C₂²×C₅	1	1	yes	characteristic
488	C₂×C₄×Dic₃	C₂²×C₅	1	2	yes	complemented
489	C₂×C₄×Dic₃	C₂²×C₅	1	2	yes	complemented
490	C₂×C₄×Dic₃	C₂²×C₅	1	1	yes	characteristic, complemented
491	#898	C₂²×C₅	1	2	yes	complemented
492	#892	C₂²×C₅	1	1	yes	characteristic, complemented
493	#892	C₂²×C₅	1	1	yes	characteristic, complemented
494	#890	C₂²×C₅	1	2	yes	complemented
495	#890	C₂²×C₅	1	1	yes	characteristic, complemented
496	#889	C₂²×C₅	1	2	yes	complemented
497	#889	C₂²×C₅	1	2	yes	complemented
498	#888	C₂²×C₅	1	1	yes	characteristic, complemented
499	#887	C₂²×C₅	1	2	yes	complemented
500	#887	C₂²×C₅	1	1	yes	characteristic, complemented
501	#887	C₂²×C₅	1	1	yes	characteristic, complemented
502	#886	C₂²×C₅	1	2	yes	—
503	#885	C₂²×C₅	1	2	yes	complemented
504	#883	C₂²×C₅	1	2	yes	complemented
505	#67⋊C₄	C₂²×C₅	1	1	yes	characteristic
506	#67⋊C₄	C₂²×C₅	1	2	yes	complemented
507	#67⋊C₄	C₂²×C₅	1	2	yes	complemented
508	#67⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
509	#879	C₂²×C₅	1	2	yes	complemented
510	#879	C₂²×C₅	1	2	yes	complemented
511	#879	C₂²×C₅	1	2	yes	complemented
512	#879	C₂²×C₅	1	2	yes	complemented
513	#879	C₂²×C₅	1	2	yes	complemented
514	#878	C₂²×C₅	1	2	yes	—
515	#878	C₂²×C₅	1	2	yes	complemented
516	#878	C₂²×C₅	1	2	yes	complemented
517	#878	C₂²×C₅	1	2	yes	complemented
518	#877	C₂²×C₅	1	2	yes	—
519	#877	C₂²×C₅	1	1	yes	characteristic
520	#877	C₂²×C₅	1	2	yes	—
521	#877	C₂²×C₅	1	2	yes	—
522	#877	C₂²×C₅	1	2	yes	complemented
523	#877	C₂²×C₅	1	2	yes	complemented
524	#877	C₂²×C₅	1	2	yes	complemented
525	#877	C₂²×C₅	1	2	yes	complemented
526	#877	C₂²×C₅	1	2	yes	complemented
527	#877	C₂²×C₅	1	1	yes	characteristic, complemented
528	C₄²×D₃	C₂²×C₅	1	1	yes	characteristic, complemented
529	#870	C₂²×C₅	1	1	yes	characteristic, complemented
530	C₄×Dic₆	C₂²×C₅	1	1	yes	characteristic, complemented
531	C₄×Dic₆	C₂²×C₅	1	1	yes	characteristic, complemented
532	C₂⁴×C₅	C₂²×D₃	1	2	yes	—
533	C₅×#41	—	2	4	no	—
534	C₅×#41	—	6	4	no	—
535	C₅×#41	—	6	4	no	—
536	C₂×C₅×Q₈	—	3	1	no	—
537	C₂×C₅×Q₈	—	3	1	no	—
538	C₂×C₅×Q₈	—	3	2	no	—
539	C₂×C₅×Q₈	C₂²×D₃	1	1	yes	characteristic
540	C₂×C₅×D₄	—	2	4	no	—
541	C₂×C₅×D₄	—	3	1	no	—
542	C₂×C₅×D₄	—	3	2	no	—
543	C₂×C₅×D₄	—	3	1	no	—
544	C₂×C₅×D₄	—	3	2	no	—
545	C₂×C₅×D₄	C₂²×D₃	1	2	yes	—
546	C₂×C₅×D₄	C₂²×D₃	1	2	yes	—
547	C₂×C₅×D₄	C₂²×D₃	1	1	yes	characteristic
548	C₂×C₅×D₄	C₂²×D₃	1	1	yes	characteristic
549	C₂×C₅×D₄	C₂²×D₃	1	2	yes	—
550	C₂×C₅×D₄	C₂²×D₃	1	1	yes	characteristic
551	C₂²×C₄×C₅	—	3	1	no	—
552	C₂²×C₄×C₅	—	3	2	no	—
553	C₂²×C₄×C₅	—	3	2	no	—
554	C₂²×C₄×C₅	—	3	1	no	—
555	C₂²×C₄×C₅	—	3	2	no	—
556	C₂²×C₄×C₅	—	3	2	no	—
557	C₂²×C₄×C₅	—	3	2	no	—
558	C₂²×C₄×C₅	—	3	2	no	—
559	C₂²×C₄×C₅	—	3	1	no	—
560	C₂²×C₄×C₅	—	3	2	no	—
561	C₂²×C₄×C₅	—	3	1	no	—
562	C₂²×C₄×C₅	—	3	1	no	—
563	C₂²×C₄×C₅	—	3	1	no	—
564	C₂²×C₄×C₅	—	3	1	no	—
565	C₂²×C₄×C₅	—	6	8	no	—
566	C₂²×C₄×C₅	C₂²×D₃	1	2	yes	—
567	C₂²×C₄×C₅	C₂²×D₃	1	1	yes	characteristic
568	C₂²×C₄×C₅	C₂²×D₃	1	1	yes	characteristic
569	C₂²×C₄×C₅	C₂²×D₃	1	2	yes	—
570	C₅×C₄⋊C₄	—	3	1	no	—
571	C₅×C₄⋊C₄	—	3	1	no	—
572	C₅×C₄⋊C₄	—	3	1	no	—
573	C₅×C₄⋊C₄	—	3	2	no	—
574	C₅×C₄⋊C₄	—	3	2	no	—
575	C₅×C₄⋊C₄	—	3	2	no	—
576	C₅×C₄⋊C₄	—	3	2	no	—
577	C₅×C₄⋊C₄	—	3	2	no	—
578	C₅×C₄⋊C₄	—	3	2	no	—
579	C₅×C₄⋊C₄	—	3	1	no	—
580	C₅×C₄⋊C₄	—	3	2	no	—
581	C₅×C₄⋊C₄	—	3	1	no	—
582	C₅×C₄⋊C₄	—	3	1	no	—
583	C₅×C₄⋊C₄	—	3	1	no	—
584	C₅×C₄⋊C₄	—	3	2	no	—
585	C₅×C₄⋊C₄	—	3	2	no	—
586	C₅×C₄⋊C₄	—	3	2	no	—
587	C₅×C₄⋊C₄	—	3	2	no	—
588	C₅×C₄⋊C₄	—	3	1	no	—
589	C₅×C₄⋊C₄	—	3	2	no	—
590	C₅×C₄⋊C₄	—	3	2	no	—
591	C₅×C₄⋊C₄	—	3	2	no	—
592	C₅×C₄⋊C₄	—	3	2	no	—
593	C₅×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
594	C₅×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
595	C₅×C₄⋊C₄	C₂²×D₃	1	2	yes	—
596	C₅×C₂²⋊C₄	—	3	1	no	—
597	C₅×C₂²⋊C₄	—	3	2	no	—
598	C₅×C₂²⋊C₄	—	3	2	no	—
599	C₅×C₂²⋊C₄	—	3	2	no	—
600	C₅×C₂²⋊C₄	—	3	2	no	—
601	C₅×C₂²⋊C₄	—	3	2	no	—
602	C₅×C₂²⋊C₄	—	3	2	no	—
603	C₅×C₂²⋊C₄	—	3	2	no	—
604	C₅×C₂²⋊C₄	—	3	2	no	—
605	C₅×C₂²⋊C₄	—	3	2	no	—
606	C₅×C₂²⋊C₄	—	3	1	no	—
607	C₅×C₂²⋊C₄	—	3	2	no	—
608	C₅×C₂²⋊C₄	—	3	2	no	—
609	C₅×C₂²⋊C₄	—	3	1	no	—
610	C₅×C₂²⋊C₄	—	3	2	no	—
611	C₅×C₂²⋊C₄	—	3	1	no	—
612	C₅×C₂²⋊C₄	—	3	2	no	—
613	C₅×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
614	C₅×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
615	C₅×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
616	C₅×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
617	C₅×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
618	C₅×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
619	C₅×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
620	C₄²×C₅	—	3	1	no	—
621	C₄²×C₅	—	3	1	no	—
622	C₄²×C₅	—	3	1	no	—
623	C₄²×C₅	—	3	2	no	—
624	C₄²×C₅	—	3	2	no	—
625	C₄²×C₅	—	3	1	no	—
626	C₄²×C₅	—	3	2	no	—
627	C₄²×C₅	—	3	2	no	—
628	C₄²×C₅	—	3	2	no	—
629	C₄²×C₅	—	3	1	no	—
630	C₄²×C₅	—	3	1	no	—
631	C₄²×C₅	—	3	2	no	—
632	C₄²×C₅	—	3	1	no	—
633	C₄²×C₅	—	3	1	no	—
634	C₄²×C₅	—	3	1	no	—
635	C₄²×C₅	C₂²×D₃	1	1	yes	characteristic
636	#556	—	3	1	no	—
637	#555	—	3	1	no	—
638	#554	—	3	1	no	—
639	#553	—	3	2	no	—
640	#552	—	3	2	no	—
641	#552	—	3	1	no	—
642	#552	—	3	1	no	—
643	#551	—	3	2	no	—
644	#551	—	3	2	no	—
645	#547	—	3	1	no	—
646	#546	—	3	1	no	—
647	#546	C₅×D₃	1	1	yes	characteristic, complemented
648	#533	—	3	1	no	—
649	#529	—	3	1	no	—
650	#529	—	3	2	no	—
651	#529	—	3	2	no	—
652	#529	—	3	1	no	—
653	#525	—	3	2	no	—
654	C₄×#41	—	3	1	no	—
655	C₄×#41	—	3	1	no	—
656	C₄×#41	—	3	1	no	—
657	C₂×C₄×D₄	—	3	1	no	—
658	C₂×#117	—	3	2	no	—
659	C₂²×C₃×C₅	—	2	2	no	—
660	C₂²×C₃×C₅	—	2	1	no	—
661	C₂²×C₃×C₅	—	2	2	no	—
662	C₂²×C₃×C₅	—	2	1	no	—
663	C₂²×C₃×C₅	—	2	2	no	—
664	C₂²×C₃×C₅	—	2	1	no	—
665	C₂²×C₃×C₅	—	2	1	no	—
666	C₂²×C₃×C₅	—	2	2	no	—
667	C₂²×C₃×C₅	—	2	1	no	—
668	C₂²×C₃×C₅	—	2	2	no	—
669	C₂²×C₃×C₅	—	4	8	no	—
670	C₂²×C₃×C₅	C₂×#41	1	4	yes	—
671	C₂²×C₃×C₅	C₂×#41	1	2	yes	—
672	C₂²×C₃×C₅	C₂⁵	1	1	yes	characteristic
673	C₂×C₅×D₃	—	2	1	no	—
674	C₂×C₅×D₃	—	2	1	no	—
675	C₂×C₅×D₃	—	2	1	no	—
676	C₃×C₄×C₅	—	2	1	no	—
677	C₃×C₄×C₅	—	2	1	no	—
678	C₃×C₄×C₅	—	2	1	no	—
679	C₃×C₄×C₅	—	2	2	no	—
680	C₃×C₄×C₅	—	2	2	no	—
681	C₃×C₄×C₅	—	2	1	no	—
682	C₃×C₄×C₅	C₂×#41	1	2	yes	—
683	C₅×Dic₃	—	2	2	no	—
684	C₅×Dic₃	—	2	1	no	—
685	C₅×Dic₃	—	2	1	no	—
686	C₅×Dic₃	—	2	2	no	—
687	C₅×Dic₃	—	2	2	no	—
688	C₅×Dic₃	—	2	1	no	—
689	C₅×Dic₃	—	2	2	no	—
690	C₅×Dic₃	—	2	1	no	—
691	C₅×Dic₃	—	2	1	no	—
692	C₅×Dic₃	C₂×#41	1	2	yes	—
693	C₅×Dic₃	C₂×#41	1	2	yes	—
694	C₂⁴×C₃	C₂³×C₅	1	2	yes	—
695	C₃×#41	—	2	4	no	—
696	C₂×C₃×Q₈	C₂³×C₅	1	1	yes	characteristic
697	C₂×C₃×D₄	—	2	4	no	—
698	C₂×C₃×D₄	C₂³×C₅	1	2	yes	—
699	C₂×C₃×D₄	C₂³×C₅	1	1	yes	characteristic
700	C₂×C₃×D₄	C₂³×C₅	1	1	yes	characteristic
701	C₂×C₃×D₄	C₂³×C₅	1	2	yes	—
702	C₂×C₃×D₄	C₂³×C₅	1	2	yes	—
703	C₂×C₃×D₄	C₂³×C₅	1	1	yes	characteristic
704	C₂²×C₃×C₄	C₂³×C₅	1	1	yes	characteristic
705	C₂²×C₃×C₄	C₂³×C₅	1	2	yes	—
706	C₂²×C₃×C₄	C₂³×C₅	1	1	yes	characteristic
707	C₂²×C₃×C₄	C₂³×C₅	1	2	yes	—
708	C₂×#67	C₂³×C₅	1	1	yes	characteristic
709	C₂×#67	C₂³×C₅	1	2	yes	—
710	C₂×#67	C₂³×C₅	1	1	yes	characteristic
711	C₂×#67	C₂³×C₅	1	2	yes	—
712	C₂²×Dic₃	—	2	8	no	—
713	C₂²×Dic₃	C₂³×C₅	1	2	yes	—
714	C₂²×Dic₃	C₂³×C₅	1	2	yes	—
715	C₂²×Dic₃	C₂³×C₅	1	2	yes	—
716	C₂²×Dic₃	C₂³×C₅	1	2	yes	—
717	C₂²×Dic₃	C₂³×C₅	1	1	yes	characteristic
718	C₂²×Dic₃	C₂³×C₅	1	2	yes	—
719	C₂²×Dic₃	C₂³×C₅	1	2	yes	—
720	C₂²×Dic₃	C₂³×C₅	1	1	yes	characteristic
721	C₂²×Dic₃	C₂³×C₅	1	2	yes	—
722	C₂²×Dic₃	C₂³×C₅	1	1	yes	characteristic
723	C₂²×Dic₃	C₂³×C₅	1	1	yes	characteristic
724	#237	—	2	4	no	—
725	#237	—	2	4	no	—
726	C₂×C₄×D₃	C₂³×C₅	1	1	yes	characteristic
727	C₂×C₄×D₃	C₂³×C₅	1	1	yes	characteristic
728	C₂×C₄×D₃	C₂³×C₅	1	1	yes	characteristic
729	C₂×Dic₆	C₂³×C₅	1	1	yes	characteristic
730	C₂×Dic₆	C₂³×C₅	1	1	yes	characteristic
731	C₂×Dic₆	C₂³×C₅	1	2	yes	—
732	C₃×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
733	C₃×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
734	C₃×C₄⋊C₄	C₂³×C₅	1	2	yes	—
735	C₃×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
736	C₃×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
737	C₃×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
738	C₃×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
739	C₃×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
740	C₃×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
741	C₃×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
742	C₃×C₄²	C₂³×C₅	1	1	yes	characteristic
743	#217	C₂³×C₅	1	1	yes	characteristic
744	#217	C₂³×C₅	1	2	yes	—
745	#217	C₂³×C₅	1	2	yes	—
746	#217	C₂³×C₅	1	2	yes	—
747	#217	C₂³×C₅	1	2	yes	—
748	#217	C₂³×C₅	1	1	yes	characteristic
749	#217	C₂³×C₅	1	2	yes	—
750	#217	C₂³×C₅	1	2	yes	—
751	#217	C₂³×C₅	1	2	yes	—
752	#217	C₂³×C₅	1	2	yes	—
753	#217	C₂³×C₅	1	2	yes	—
754	#217	C₂³×C₅	1	2	yes	—
755	#217	C₂³×C₅	1	2	yes	—
756	(C₂×D₃)⋊C₄	C₂³×C₅	1	1	yes	characteristic
757	(C₂×D₃)⋊C₄	C₂³×C₅	1	2	yes	—
758	(C₂×D₃)⋊C₄	C₂³×C₅	1	2	yes	—
759	(C₂×D₃)⋊C₄	C₂³×C₅	1	1	yes	characteristic
760	C₄⋊Dic₃	C₂³×C₅	1	1	yes	characteristic
761	C₄⋊Dic₃	C₂³×C₅	1	1	yes	characteristic
762	C₄⋊Dic₃	C₂³×C₅	1	1	yes	characteristic
763	C₄⋊Dic₃	C₂³×C₅	1	1	yes	characteristic
764	C₄⋊Dic₃	C₂³×C₅	1	2	yes	—
765	C₄⋊Dic₃	C₂³×C₅	1	2	yes	—
766	C₄⋊Dic₃	C₂³×C₅	1	2	yes	—
767	C₄⋊Dic₃	C₂³×C₅	1	2	yes	—
768	Dic₃⋊C₄	C₂³×C₅	1	1	yes	characteristic
769	Dic₃⋊C₄	C₂³×C₅	1	2	yes	—
770	Dic₃⋊C₄	C₂³×C₅	1	1	yes	characteristic
771	Dic₃⋊C₄	C₂³×C₅	1	2	yes	—
772	Dic₃⋊C₄	C₂³×C₅	1	2	yes	—
773	Dic₃⋊C₄	C₂³×C₅	1	1	yes	characteristic
774	Dic₃⋊C₄	C₂³×C₅	1	2	yes	—
775	Dic₃⋊C₄	C₂³×C₅	1	2	yes	—
776	Dic₃⋊C₄	C₂³×C₅	1	2	yes	—
777	Dic₃⋊C₄	C₂³×C₅	1	2	yes	—
778	Dic₃⋊C₄	C₂³×C₅	1	2	yes	—
779	Dic₃⋊C₄	C₂³×C₅	1	2	yes	—
780	Dic₃⋊C₄	C₂³×C₅	1	1	yes	characteristic
781	Dic₃⋊C₄	C₂³×C₅	1	2	yes	—
782	Dic₃⋊C₄	C₂³×C₅	1	2	yes	—
783	C₄×Dic₃	C₂³×C₅	1	2	yes	—
784	C₄×Dic₃	C₂³×C₅	1	1	yes	characteristic
785	C₄×Dic₃	C₂³×C₅	1	1	yes	characteristic
786	C₄×Dic₃	C₂³×C₅	1	1	yes	characteristic
787	C₄×Dic₃	C₂³×C₅	1	1	yes	characteristic
788	C₄×Dic₃	C₂³×C₅	1	1	yes	characteristic
789	C₄×Dic₃	C₂³×C₅	1	2	yes	—
790	C₄×Dic₃	C₂³×C₅	1	1	yes	characteristic
791	C₄×Dic₃	C₂³×C₅	1	2	yes	—
792	C₄×Dic₃	C₂³×C₅	1	2	yes	—
793	C₄×Dic₃	C₂³×C₅	1	2	yes	—
794	C₄×Dic₃	C₂³×C₅	1	2	yes	—
795	C₄×Dic₃	C₂³×C₅	1	1	yes	characteristic
796	C₄×Dic₃	C₂³×C₅	1	1	yes	characteristic
797	C₄×Dic₃	C₂³×C₅	1	1	yes	characteristic
798	C₂³×C₅	—	2	4	no	—
799	C₂³×C₅	—	2	4	no	—
800	C₂³×C₅	—	3	1	no	—
801	C₂³×C₅	—	4	2	no	—
802	C₂³×C₅	C₂³×D₃	1	2	yes	—
803	C₂³×C₅	C₂³×D₃	1	1	yes	characteristic
804	C₂³×C₅	C₂³×D₃	1	2	yes	—
805	C₂³×C₅	C₂³×D₃	1	1	yes	characteristic
806	C₅×Q₈	—	2	2	no	—
807	C₅×Q₈	—	6	2	no	—
808	C₅×Q₈	—	6	2	no	—
809	C₅×Q₈	—	12	2	no	—
810	C₅×D₄	—	2	4	no	—
811	C₅×D₄	—	2	4	no	—
812	C₅×D₄	—	2	2	no	—
813	C₅×D₄	—	2	2	no	—
814	C₅×D₄	—	4	2	no	—
815	C₅×D₄	—	6	2	no	—
816	C₅×D₄	—	6	4	no	—
817	C₅×D₄	—	6	2	no	—
818	C₅×D₄	—	12	2	no	—
819	C₅×D₄	#237	1	4	yes	complemented
820	C₂×C₄×C₅	—	2	4	no	—
821	C₂×C₄×C₅	—	2	2	no	—
822	C₂×C₄×C₅	—	2	2	no	—
823	C₂×C₄×C₅	—	3	4	no	—
824	C₂×C₄×C₅	—	3	1	no	—
825	C₂×C₄×C₅	—	3	1	no	—
826	C₂×C₄×C₅	—	3	1	no	—
827	C₂×C₄×C₅	—	3	2	no	—
828	C₂×C₄×C₅	—	3	1	no	—
829	C₂×C₄×C₅	—	3	1	no	—
830	C₂×C₄×C₅	—	3	1	no	—
831	C₂×C₄×C₅	—	3	2	no	—
832	C₂×C₄×C₅	—	3	1	no	—
833	C₂×C₄×C₅	—	3	2	no	—
834	C₂×C₄×C₅	—	3	2	no	—
835	C₂×C₄×C₅	—	4	2	no	—
836	C₂×C₄×C₅	—	6	2	no	—
837	C₂×C₄×C₅	—	6	4	no	—
838	C₂×C₄×C₅	—	6	4	no	—
839	C₂×C₄×C₅	—	6	4	no	—
840	C₂×C₄×C₅	—	6	4	no	—
841	C₂×C₄×C₅	—	6	2	no	—
842	C₂×C₄×C₅	—	6	4	no	—
843	C₂×C₄×C₅	—	6	4	no	—
844	C₂×C₄×C₅	—	6	2	no	—
845	C₂×C₄×C₅	—	12	1	no	—
846	C₂×C₄×C₅	—	12	1	no	—
847	C₂×C₄×C₅	—	12	2	no	—
848	C₂×C₄×C₅	—	12	1	no	—
849	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
850	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
851	C₂×C₄×C₅	C₂³×D₃	1	2	yes	—
852	C₂×C₄×C₅	C₂³×D₃	1	2	yes	—
853	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
854	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
855	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
856	C₂×#41	—	3	1	no	—
857	C₂×#41	—	3	1	no	—
858	C₂×#41	C₂×C₅×D₃	1	1	yes	characteristic
859	C₂²×D₄	C₂×C₅×D₃	1	1	yes	characteristic
860	C₂³×C₄	—	3	2	no	—
861	C₄⋊Q₈	—	3	1	no	—
862	C₄⋊Q₈	—	3	1	no	—
863	#126	—	3	2	no	—
864	#126	—	3	2	no	—
865	#126	—	3	2	no	—
866	#126	—	3	2	no	—
867	#126	—	3	2	no	—
868	#126	—	3	2	no	—
869	#125	—	3	2	no	—
870	#125	—	3	2	no	—
871	#125	—	3	1	no	—
872	#125	—	3	2	no	—
873	#125	—	3	1	no	—
874	#124	—	3	1	no	—
875	#124	—	3	2	no	—
876	#124	—	3	2	no	—
877	#124	C₂×C₅×D₃	1	1	yes	characteristic
878	#123	—	3	2	no	—
879	#123	—	3	2	no	—
880	#123	—	3	2	no	—
881	#123	—	3	2	no	—
882	#123	—	3	2	no	—
883	#123	—	3	2	no	—
884	#123	—	3	2	no	—
885	#123	C₂×C₅×D₃	1	2	yes	—
886	C₂²⋊Q₈	—	3	1	no	—
887	C₂²⋊Q₈	—	3	1	no	—
888	C₂²⋊Q₈	—	3	2	no	—
889	C₂²⋊Q₈	—	3	1	no	—
890	C₂²⋊Q₈	—	3	2	no	—
891	C₂²⋊Q₈	—	3	2	no	—
892	C₂²⋊Q₈	—	3	2	no	—
893	C₂²⋊Q₈	—	3	2	no	—
894	C₂²⋊Q₈	C₂×C₅×D₃	1	1	yes	characteristic
895	#121	—	3	2	no	—
896	#121	—	3	2	no	—
897	#121	—	3	2	no	—
898	#121	—	3	1	no	—
899	#121	C₂×C₅×D₃	1	2	yes	—
900	#121	C₂×C₅×D₃	1	1	yes	characteristic
901	#120	—	3	2	no	—
902	#120	C₂×C₅×D₃	1	2	yes	—
903	C₄×Q₈	—	3	1	no	—
904	C₄×Q₈	—	3	1	no	—
905	C₄×Q₈	—	3	1	no	—
906	C₄×Q₈	—	3	1	no	—
907	C₄×Q₈	—	3	2	no	—
908	C₄×Q₈	—	3	1	no	—
909	C₄×Q₈	—	3	1	no	—
910	C₄×D₄	—	3	1	no	—
911	C₄×D₄	—	3	1	no	—
912	C₄×D₄	—	3	2	no	—
913	C₄×D₄	—	3	1	no	—
914	C₄×D₄	—	3	2	no	—
915	C₄×D₄	—	3	1	no	—
916	C₄×D₄	—	3	2	no	—
917	C₄×D₄	—	3	1	no	—
918	C₄×D₄	—	3	1	no	—
919	C₄×D₄	—	3	2	no	—
920	C₄×D₄	—	3	2	no	—
921	C₄×D₄	—	3	1	no	—
922	C₄×D₄	—	3	1	no	—
923	C₄×D₄	—	3	2	no	—
924	C₄×D₄	—	3	2	no	—
925	C₄×D₄	—	3	1	no	—
926	C₄×D₄	—	3	1	no	—
927	C₄×D₄	—	3	2	no	—
928	C₄×D₄	C₂×C₅×D₃	1	1	yes	characteristic
929	C₄×D₄	C₂×C₅×D₃	1	1	yes	characteristic
930	#117	—	3	2	no	—
931	#117	—	3	1	no	—
932	#117	—	3	1	no	—
933	#117	—	3	1	no	—
934	#117	—	3	1	no	—
935	#117	—	3	2	no	—
936	#117	—	3	2	no	—
937	#117	—	3	2	no	—
938	#117	—	3	2	no	—
939	#117	—	3	2	no	—
940	#117	—	3	2	no	—
941	#117	—	3	2	no	—
942	#117	—	3	1	no	—
943	#117	—	3	2	no	—
944	C₂×C₄⋊C₄	—	3	2	no	—
945	C₂×C₄⋊C₄	—	3	2	no	—
946	C₂×C₄⋊C₄	—	3	1	no	—
947	C₂×C₂²⋊C₄	—	3	2	no	—
948	C₂×C₂²⋊C₄	—	3	2	no	—
949	C₂×C₂²⋊C₄	C₂×C₅×D₃	1	2	yes	—
950	C₂×C₄²	—	3	2	no	—
951	C₂×C₄²	—	3	2	no	—
952	C₂×C₄²	—	3	1	no	—
953	C₂×C₄²	—	3	1	no	—
954	C₂×C₄²	—	3	1	no	—
955	C₂×C₃×C₅	—	2	2	no	—
956	C₂×C₃×C₅	—	2	4	no	—
957	C₂×C₃×C₅	—	4	1	no	—
958	C₂×C₃×C₅	—	4	2	no	—
959	C₂×C₃×C₅	C₂²×#41	1	1	yes	characteristic
960	C₂×C₃×C₅	C₂²×#41	1	1	yes	characteristic
961	C₂×C₃×C₅	#585	1	1	yes	characteristic
962	C₅×D₃	—	4	1	no	—
963	C₂³×C₃	—	2	4	no	—
964	C₂³×C₃	—	2	4	no	—
965	C₂³×C₃	—	4	2	no	—
966	C₂³×C₃	C₂⁴×C₅	1	2	yes	—
967	C₂³×C₃	C₂⁴×C₅	1	1	yes	characteristic
968	C₂³×C₃	C₂⁴×C₅	1	1	yes	characteristic
969	C₂³×C₃	C₂⁴×C₅	1	2	yes	—
970	C₂²×D₃	C₂⁴×C₅	1	1	yes	characteristic
971	C₃×Q₈	—	2	2	no	—
972	C₃×D₄	—	2	2	no	—
973	C₃×D₄	—	2	4	no	—
974	C₃×D₄	—	2	4	no	—
975	C₃×D₄	—	2	2	no	—
976	C₃×D₄	—	4	2	no	—
977	C₃×D₄	C₅×#41	1	4	yes	complemented
978	C₂×C₃×C₄	—	2	4	no	—
979	C₂×C₃×C₄	—	2	2	no	—
980	C₂×C₃×C₄	—	2	2	no	—
981	C₂×C₃×C₄	—	4	2	no	—
982	C₂×C₃×C₄	C₂⁴×C₅	1	1	yes	characteristic
983	C₂×C₃×C₄	C₂⁴×C₅	1	1	yes	characteristic
984	C₂×C₃×C₄	C₂⁴×C₅	1	2	yes	—
985	C₂×C₃×C₄	C₂⁴×C₅	1	1	yes	characteristic
986	C₂×C₃×C₄	C₂⁴×C₅	1	2	yes	—
987	C₂×C₃×C₄	C₂⁴×C₅	1	1	yes	characteristic
988	C₂×C₃×C₄	C₂⁴×C₅	1	1	yes	characteristic
989	#67	—	2	4	no	—
990	#67	—	2	2	no	—
991	#67	—	2	2	no	—
992	#67	—	4	2	no	—
993	C₂×Dic₃	—	2	4	no	—
994	C₂×Dic₃	—	2	4	no	—
995	C₂×Dic₃	—	2	2	no	—
996	C₂×Dic₃	—	2	4	no	—
997	C₂×Dic₃	—	2	4	no	—
998	C₂×Dic₃	—	2	4	no	—
999	C₂×Dic₃	—	2	4	no	—
1000	C₂×Dic₃	—	4	1	no	—
1001	C₂×Dic₃	—	4	2	no	—
1002	C₂×Dic₃	—	4	1	no	—
1003	C₂×Dic₃	C₅×#41	1	4	yes	complemented
1004	C₂×Dic₃	C₂⁴×C₅	1	1	yes	characteristic
1005	C₂×Dic₃	C₂⁴×C₅	1	1	yes	characteristic
1006	C₂×Dic₃	C₂⁴×C₅	1	1	yes	characteristic
1007	C₂×Dic₃	C₂⁴×C₅	1	2	yes	—
1008	C₂×Dic₃	C₂⁴×C₅	1	2	yes	—
1009	C₂×Dic₃	C₂⁴×C₅	1	2	yes	—
1010	C₂×Dic₃	C₂⁴×C₅	1	1	yes	characteristic
1011	C₂×Dic₃	C₂⁴×C₅	1	1	yes	characteristic
1012	C₂×Dic₃	C₂⁴×C₅	1	2	yes	—
1013	C₂×Dic₃	C₂⁴×C₅	1	1	yes	characteristic
1014	C₂×Dic₃	C₂⁴×C₅	1	1	yes	characteristic
1015	C₄×D₃	—	2	2	no	—
1016	C₄×D₃	—	2	2	no	—
1017	C₄×D₃	—	4	1	no	—
1018	Dic₆	—	2	2	no	—
1019	Dic₆	—	2	2	no	—
1020	Dic₆	—	4	2	no	—
1021	C₂²×C₅	—	2	1	no	—
1022	C₂²×C₅	—	2	2	no	—
1023	C₂²×C₅	—	2	2	no	—
1024	C₂²×C₅	—	2	1	no	—
1025	C₂²×C₅	—	2	1	no	—
1026	C₂²×C₅	—	2	2	no	—
1027	C₂²×C₅	—	2	2	no	—
1028	C₂²×C₅	—	2	1	no	—
1029	C₂²×C₅	—	2	1	no	—
1030	C₂²×C₅	—	2	2	no	—
1031	C₂²×C₅	—	4	8	no	—
1032	C₂²×C₅	—	6	1	no	—
1033	C₂²×C₅	—	6	1	no	—
1034	C₂²×C₅	—	6	1	no	—
1035	C₂²×C₅	C₂×#237	1	4	yes	—
1036	C₂²×C₅	D₃×#41	1	2	yes	—
1037	C₂²×C₅	C₂⁴×D₃	1	1	yes	characteristic
1038	C₄×C₅	—	2	1	no	—
1039	C₄×C₅	—	2	1	no	—
1040	C₄×C₅	—	2	2	no	—
1041	C₄×C₅	—	2	1	no	—
1042	C₄×C₅	—	2	1	no	—
1043	C₄×C₅	—	2	2	no	—
1044	C₄×C₅	—	3	2	no	—
1045	C₄×C₅	—	3	2	no	—
1046	C₄×C₅	—	6	1	no	—
1047	C₄×C₅	—	6	2	no	—
1048	C₄×C₅	—	6	2	no	—
1049	C₄×C₅	—	6	2	no	—
1050	C₄×C₅	—	6	1	no	—
1051	C₄×C₅	—	6	1	no	—
1052	C₄×C₅	—	6	1	no	—
1053	C₄×C₅	—	6	2	no	—
1054	C₄×C₅	—	6	1	no	—
1055	C₄×C₅	C₂×#237	1	2	yes	—
1056	C₂⁴	C₂²×C₅×D₃	1	2	yes	—
1057	#41	—	2	4	no	—
1058	#41	—	6	4	no	—
1059	#41	—	6	4	no	—
1060	C₂×Q₈	—	3	1	no	—
1061	C₂×Q₈	—	3	1	no	—
1062	C₂×Q₈	—	3	2	no	—
1063	C₂×Q₈	C₂²×C₅×D₃	1	1	yes	characteristic
1064	C₂×D₄	—	2	4	no	—
1065	C₂×D₄	—	3	1	no	—
1066	C₂×D₄	—	3	2	no	—
1067	C₂×D₄	—	3	1	no	—
1068	C₂×D₄	—	3	2	no	—
1069	C₂×D₄	C₂²×C₅×D₃	1	2	yes	—
1070	C₂×D₄	C₂²×C₅×D₃	1	2	yes	—
1071	C₂×D₄	C₂²×C₅×D₃	1	1	yes	characteristic
1072	C₂×D₄	C₂²×C₅×D₃	1	1	yes	characteristic
1073	C₂×D₄	C₂²×C₅×D₃	1	2	yes	—
1074	C₂×D₄	C₂²×C₅×D₃	1	1	yes	characteristic
1075	C₂²×C₄	—	3	1	no	—
1076	C₂²×C₄	—	3	2	no	—
1077	C₂²×C₄	—	3	2	no	—
1078	C₂²×C₄	—	3	1	no	—
1079	C₂²×C₄	—	3	2	no	—
1080	C₂²×C₄	—	3	2	no	—
1081	C₂²×C₄	—	3	2	no	—
1082	C₂²×C₄	—	3	2	no	—
1083	C₂²×C₄	—	3	1	no	—
1084	C₂²×C₄	—	3	2	no	—
1085	C₂²×C₄	—	3	1	no	—
1086	C₂²×C₄	—	3	1	no	—
1087	C₂²×C₄	—	3	1	no	—
1088	C₂²×C₄	—	3	1	no	—
1089	C₂²×C₄	—	6	8	no	—
1090	C₂²×C₄	C₂²×C₅×D₃	1	2	yes	—
1091	C₂²×C₄	C₂²×C₅×D₃	1	1	yes	characteristic
1092	C₂²×C₄	C₂²×C₅×D₃	1	1	yes	characteristic
1093	C₂²×C₄	C₂²×C₅×D₃	1	2	yes	—
1094	C₄⋊C₄	—	3	1	no	—
1095	C₄⋊C₄	—	3	1	no	—
1096	C₄⋊C₄	—	3	1	no	—
1097	C₄⋊C₄	—	3	2	no	—
1098	C₄⋊C₄	—	3	2	no	—
1099	C₄⋊C₄	—	3	2	no	—
1100	C₄⋊C₄	—	3	2	no	—
1101	C₄⋊C₄	—	3	2	no	—
1102	C₄⋊C₄	—	3	2	no	—
1103	C₄⋊C₄	—	3	1	no	—
1104	C₄⋊C₄	—	3	2	no	—
1105	C₄⋊C₄	—	3	1	no	—
1106	C₄⋊C₄	—	3	1	no	—
1107	C₄⋊C₄	—	3	1	no	—
1108	C₄⋊C₄	—	3	2	no	—
1109	C₄⋊C₄	—	3	2	no	—
1110	C₄⋊C₄	—	3	2	no	—
1111	C₄⋊C₄	—	3	2	no	—
1112	C₄⋊C₄	—	3	1	no	—
1113	C₄⋊C₄	—	3	2	no	—
1114	C₄⋊C₄	—	3	2	no	—
1115	C₄⋊C₄	—	3	2	no	—
1116	C₄⋊C₄	—	3	2	no	—
1117	C₄⋊C₄	C₂²×C₅×D₃	1	1	yes	characteristic
1118	C₄⋊C₄	C₂²×C₅×D₃	1	1	yes	characteristic
1119	C₄⋊C₄	C₂²×C₅×D₃	1	2	yes	—
1120	C₂²⋊C₄	—	3	1	no	—
1121	C₂²⋊C₄	—	3	2	no	—
1122	C₂²⋊C₄	—	3	2	no	—
1123	C₂²⋊C₄	—	3	2	no	—
1124	C₂²⋊C₄	—	3	2	no	—
1125	C₂²⋊C₄	—	3	2	no	—
1126	C₂²⋊C₄	—	3	2	no	—
1127	C₂²⋊C₄	—	3	2	no	—
1128	C₂²⋊C₄	—	3	2	no	—
1129	C₂²⋊C₄	—	3	2	no	—
1130	C₂²⋊C₄	—	3	1	no	—
1131	C₂²⋊C₄	—	3	2	no	—
1132	C₂²⋊C₄	—	3	2	no	—
1133	C₂²⋊C₄	—	3	1	no	—
1134	C₂²⋊C₄	—	3	2	no	—
1135	C₂²⋊C₄	—	3	1	no	—
1136	C₂²⋊C₄	—	3	2	no	—
1137	C₂²⋊C₄	C₂²×C₅×D₃	1	1	yes	characteristic
1138	C₂²⋊C₄	C₂²×C₅×D₃	1	2	yes	—
1139	C₂²⋊C₄	C₂²×C₅×D₃	1	2	yes	—
1140	C₂²⋊C₄	C₂²×C₅×D₃	1	2	yes	—
1141	C₂²⋊C₄	C₂²×C₅×D₃	1	2	yes	—
1142	C₂²⋊C₄	C₂²×C₅×D₃	1	1	yes	characteristic
1143	C₂²⋊C₄	C₂²×C₅×D₃	1	2	yes	—
1144	C₄²	—	3	1	no	—
1145	C₄²	—	3	1	no	—
1146	C₄²	—	3	1	no	—
1147	C₄²	—	3	2	no	—
1148	C₄²	—	3	2	no	—
1149	C₄²	—	3	1	no	—
1150	C₄²	—	3	2	no	—
1151	C₄²	—	3	2	no	—
1152	C₄²	—	3	2	no	—
1153	C₄²	—	3	1	no	—
1154	C₄²	—	3	1	no	—
1155	C₄²	—	3	2	no	—
1156	C₄²	—	3	1	no	—
1157	C₄²	—	3	1	no	—
1158	C₄²	—	3	1	no	—
1159	C₄²	C₂²×C₅×D₃	1	1	yes	characteristic
1160	C₃×C₅	#3475	1	1	yes	characteristic, complemented, Hall
1161	C₂²×C₃	—	2	2	no	—
1162	C₂²×C₃	—	2	1	no	—
1163	C₂²×C₃	—	2	2	no	—
1164	C₂²×C₃	—	2	1	no	—
1165	C₂²×C₃	—	2	2	no	—
1166	C₂²×C₃	—	2	1	no	—
1167	C₂²×C₃	—	2	1	no	—
1168	C₂²×C₃	—	2	2	no	—
1169	C₂²×C₃	—	2	1	no	—
1170	C₂²×C₃	—	2	2	no	—
1171	C₂²×C₃	—	4	8	no	—
1172	C₂²×C₃	C₂×C₅×#41	1	4	yes	—
1173	C₂²×C₃	C₂×C₅×#41	1	2	yes	—
1174	C₂²×C₃	C₂⁵×C₅	1	1	yes	characteristic
1175	C₂×D₃	—	2	1	no	—
1176	C₂×D₃	—	2	1	no	—
1177	C₂×D₃	—	2	1	no	—
1178	C₃×C₄	—	2	1	no	—
1179	C₃×C₄	—	2	1	no	—
1180	C₃×C₄	—	2	1	no	—
1181	C₃×C₄	—	2	2	no	—
1182	C₃×C₄	—	2	2	no	—
1183	C₃×C₄	—	2	1	no	—
1184	C₃×C₄	C₂×C₅×#41	1	2	yes	—
1185	Dic₃	—	2	2	no	—
1186	Dic₃	—	2	1	no	—
1187	Dic₃	—	2	1	no	—
1188	Dic₃	—	2	2	no	—
1189	Dic₃	—	2	2	no	—
1190	Dic₃	—	2	1	no	—
1191	Dic₃	—	2	2	no	—
1192	Dic₃	—	2	1	no	—
1193	Dic₃	—	2	1	no	—
1194	Dic₃	C₂×C₅×#41	1	2	yes	—
1195	Dic₃	C₂×C₅×#41	1	2	yes	—
1196	C₂×C₅	—	2	2	no	—
1197	C₂×C₅	—	2	4	no	—
1198	C₂×C₅	—	4	2	no	—
1199	C₂×C₅	—	4	1	no	—
1200	C₂×C₅	—	12	1	no	—
1201	C₂×C₅	C₂²×#237	1	1	yes	characteristic
1202	C₂×C₅	C₂×D₃×#41	1	1	yes	characteristic
1203	C₂×C₅	#5966	1	1	yes	characteristic
1204	C₂³	—	2	4	no	—
1205	C₂³	—	2	4	no	—
1206	C₂³	—	3	1	no	—
1207	C₂³	—	4	2	no	—
1208	C₂³	C₂³×C₅×D₃	1	2	yes	—
1209	C₂³	C₂³×C₅×D₃	1	1	yes	characteristic
1210	C₂³	C₂³×C₅×D₃	1	2	yes	—
1211	C₂³	C₂³×C₅×D₃	1	1	yes	characteristic
1212	Q₈	—	2	2	no	—
1213	Q₈	—	6	2	no	—
1214	Q₈	—	6	2	no	—
1215	Q₈	—	12	2	no	—
1216	D₄	—	2	4	no	—
1217	D₄	—	2	4	no	—
1218	D₄	—	2	2	no	—
1219	D₄	—	2	2	no	—
1220	D₄	—	4	2	no	—
1221	D₄	—	6	2	no	—
1222	D₄	—	6	4	no	—
1223	D₄	—	6	2	no	—
1224	D₄	—	12	2	no	—
1225	D₄	C₅×#237	1	4	yes	complemented
1226	C₂×C₄	—	2	4	no	—
1227	C₂×C₄	—	2	2	no	—
1228	C₂×C₄	—	2	2	no	—
1229	C₂×C₄	—	3	4	no	—
1230	C₂×C₄	—	3	1	no	—
1231	C₂×C₄	—	3	1	no	—
1232	C₂×C₄	—	3	1	no	—
1233	C₂×C₄	—	3	2	no	—
1234	C₂×C₄	—	3	1	no	—
1235	C₂×C₄	—	3	1	no	—
1236	C₂×C₄	—	3	1	no	—
1237	C₂×C₄	—	3	2	no	—
1238	C₂×C₄	—	3	1	no	—
1239	C₂×C₄	—	3	2	no	—
1240	C₂×C₄	—	3	2	no	—
1241	C₂×C₄	—	4	2	no	—
1242	C₂×C₄	—	6	2	no	—
1243	C₂×C₄	—	6	4	no	—
1244	C₂×C₄	—	6	4	no	—
1245	C₂×C₄	—	6	4	no	—
1246	C₂×C₄	—	6	4	no	—
1247	C₂×C₄	—	6	2	no	—
1248	C₂×C₄	—	6	4	no	—
1249	C₂×C₄	—	6	4	no	—
1250	C₂×C₄	—	6	2	no	—
1251	C₂×C₄	—	12	1	no	—
1252	C₂×C₄	—	12	1	no	—
1253	C₂×C₄	—	12	2	no	—
1254	C₂×C₄	—	12	1	no	—
1255	C₂×C₄	C₂³×C₅×D₃	1	1	yes	characteristic
1256	C₂×C₄	C₂³×C₅×D₃	1	1	yes	characteristic
1257	C₂×C₄	C₂³×C₅×D₃	1	2	yes	—
1258	C₂×C₄	C₂³×C₅×D₃	1	2	yes	—
1259	C₂×C₄	C₂³×C₅×D₃	1	1	yes	characteristic
1260	C₂×C₄	C₂³×C₅×D₃	1	1	yes	characteristic
1261	C₂×C₄	C₂³×C₅×D₃	1	1	yes	characteristic
1262	C₂×C₃	—	2	2	no	—
1263	C₂×C₃	—	2	4	no	—
1264	C₂×C₃	—	4	2	no	—
1265	C₂×C₃	—	4	1	no	—
1266	C₂×C₃	C₂²×C₅×#41	1	1	yes	characteristic
1267	C₂×C₃	C₂²×C₅×#41	1	1	yes	characteristic
1268	C₂×C₃	C₅×#585	1	1	yes	characteristic
1269	D₃	—	4	1	no	—
1270	C₅	#86627	1	1	yes	characteristic, direct product factor, Sylow
1271	C₂²	—	2	1	no	—
1272	C₂²	—	2	2	no	—
1273	C₂²	—	2	2	no	—
1274	C₂²	—	2	1	no	—
1275	C₂²	—	2	1	no	—
1276	C₂²	—	2	2	no	—
1277	C₂²	—	2	2	no	—
1278	C₂²	—	2	1	no	—
1279	C₂²	—	2	1	no	—
1280	C₂²	—	2	2	no	—
1281	C₂²	—	4	8	no	—
1282	C₂²	—	6	1	no	—
1283	C₂²	—	6	1	no	—
1284	C₂²	—	6	1	no	—
1285	C₂²	C₂×C₅×#237	1	4	yes	—
1286	C₂²	C₅×D₃×#41	1	2	yes	—
1287	C₂²	C₂⁴×C₅×D₃	1	1	yes	characteristic
1288	C₄	—	2	1	no	—
1289	C₄	—	2	1	no	—
1290	C₄	—	2	2	no	—
1291	C₄	—	2	1	no	—
1292	C₄	—	2	1	no	—
1293	C₄	—	2	2	no	—
1294	C₄	—	3	2	no	—
1295	C₄	—	3	2	no	—
1296	C₄	—	6	1	no	—
1297	C₄	—	6	2	no	—
1298	C₄	—	6	2	no	—
1299	C₄	—	6	2	no	—
1300	C₄	—	6	1	no	—
1301	C₄	—	6	1	no	—
1302	C₄	—	6	1	no	—
1303	C₄	—	6	2	no	—
1304	C₄	—	6	1	no	—
1305	C₄	C₂×C₅×#237	1	2	yes	—
1306	C₃	C₅×#3475	1	1	yes	characteristic, complemented, Sylow
1307	C₂	—	2	2	no	—
1308	C₂	—	2	4	no	—
1309	C₂	—	4	2	no	—
1310	C₂	—	4	1	no	—
1311	C₂	—	12	1	no	—
1312	C₂	C₂²×C₅×#237	1	1	yes	characteristic
1313	C₂	C₂×C₅×D₃×#41	1	1	yes	characteristic
1314	C₂	C₅×#5966	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₅	C₂⁴×D₃
commutator, cosocle	C₂²×C₃	C₂⁵×C₅
Frattini	C₂²	C₂⁴×C₅×D₃
Fitting	C₃×C₅×#546	C₂
socle	C₂²×C₃×C₅	C₂⁵
hypercenter	C₅×#546	D₃
hypocenter	C₃	C₅×#3475
LCS	G ▷ C₂²×C₃ ▷ C₃
UCS	C₁ ◁ C₂²×C₅ ◁ C₅×#546

Complements

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

N	H ≅ G/N	type
1. C₃×C₅×#546	C₂	semidirect
2. C₅×Dic₃×#41	C₂	semidirect
3. C₅×#5824	C₂	semidirect
4. C₅×#5806	C₂	semidirect
5. C₂×C₅×D₄×Dic₃	C₂	semidirect
6. C₅×#5680	C₂	semidirect
7. C₅×#5671	C₂	semidirect
8. C₅×#5650	C₂	semidirect
9. C₅×#5649	C₂	semidirect
10. C₅×#5642	C₂	semidirect
11. C₅×#5622	C₂	semidirect
12. C₅×#5616	C₂	semidirect
13. C₅×#5601	C₂	semidirect
14. C₅×#5600	C₂	semidirect
15. C₅×#5600	C₂	semidirect
16. C₅×#5587	C₂	semidirect
17. C₅×#5586	C₂	semidirect
18. C₅×#5541	C₂	semidirect
19. C₅×#5539	C₂	semidirect
20. C₄×C₅×#237	C₂	semidirect
21. C₄×C₅×#237	C₂	semidirect
22. C₅×#5495	C₂	semidirect
23. C₂×C₅×#877	C₂	semidirect
42. C₅×#946	C₂²	semidirect
43. C₅×Q₈×Dic₃	C₂²	semidirect
44. C₅×Q₈×Dic₃	C₂²	semidirect
45. C₅×#944	C₂²	semidirect
47. C₅×#939	C₂²	semidirect
48. C₅×#939	C₂²	semidirect
51. C₅×#936	C₂²	semidirect
54. C₅×#935	C₂²	semidirect
55. C₅×#935	C₂²	semidirect
64. C₅×D₄×Dic₃	C₂²	semidirect
65. C₅×D₄×Dic₃	C₂²	semidirect
66. C₅×D₄×Dic₃	C₂²	semidirect
67. C₅×#929	C₂²	semidirect
69. C₄×C₅×#67	C₂²	semidirect
70. C₄×C₅×#67	C₂²	semidirect
71. C₅×#926	C₂²	semidirect
72. C₅×#926	C₂²	semidirect
75. C₅×#924	C₂²	semidirect
76. C₅×#924	C₂²	semidirect
77. C₂×C₅×Dic₃⋊C₄	C₂²	semidirect
78. C₂×C₅×Dic₃⋊C₄	C₂²	semidirect
80. C₂×C₄×C₅×Dic₃	C₂²	semidirect
81. C₂×C₄×C₅×Dic₃	C₂²	semidirect
82. C₂×C₄×C₅×Dic₃	C₂²	semidirect
83. C₅×#898	C₂²	semidirect
84. C₅×#892	C₂²	semidirect
85. C₅×#892	C₂²	semidirect
86. C₅×#890	C₂²	semidirect
87. C₅×#890	C₂²	semidirect
88. C₅×#889	C₂²	semidirect
89. C₅×#889	C₂²	semidirect
90. C₅×#888	C₂²	semidirect
91. C₅×#887	C₂²	semidirect
92. C₅×#887	C₂²	semidirect
93. C₅×#887	C₂²	semidirect
95. C₅×#885	C₂²	semidirect
96. C₅×#883	C₂²	semidirect
98. C₅×#67⋊C₄	C₂²	semidirect
99. C₅×#67⋊C₄	C₂²	semidirect
100. C₅×#67⋊C₄	C₂²	semidirect
101. C₅×#879	C₂²	semidirect
102. C₅×#879	C₂²	semidirect
103. C₅×#879	C₂²	semidirect
104. C₅×#879	C₂²	semidirect
105. C₅×#879	C₂²	semidirect
107. C₅×#878	C₂²	semidirect
108. C₅×#878	C₂²	semidirect
109. C₅×#878	C₂²	semidirect
114. C₅×#877	C₂²	semidirect
115. C₅×#877	C₂²	semidirect
116. C₅×#877	C₂²	semidirect
117. C₅×#877	C₂²	semidirect
118. C₅×#877	C₂²	semidirect
119. C₅×#877	C₂²	semidirect
120. C₄²×C₅×D₃	C₂²	semidirect
121. C₅×#870	C₂²	semidirect
122. C₄×C₅×Dic₆	C₂²	semidirect
123. C₄×C₅×Dic₆	C₂²	semidirect
124. #86627	C₅	direct (N × H)
136. C₅×#546	D₃	semidirect
252. C₃×#546	C₂×C₅	semidirect
253. Dic₃×#41	C₂×C₅	semidirect
254. #5824	C₂×C₅	semidirect
255. #5806	C₂×C₅	semidirect
256. C₂×D₄×Dic₃	C₂×C₅	semidirect
257. #5680	C₂×C₅	semidirect
258. #5671	C₂×C₅	semidirect
259. #5650	C₂×C₅	semidirect
260. #5649	C₂×C₅	semidirect
261. #5642	C₂×C₅	semidirect
262. #5622	C₂×C₅	semidirect
263. #5616	C₂×C₅	semidirect
264. #5601	C₂×C₅	semidirect
265. #5600	C₂×C₅	semidirect
266. #5600	C₂×C₅	semidirect
267. #5587	C₂×C₅	semidirect
268. #5586	C₂×C₅	semidirect
269. #5541	C₂×C₅	semidirect
270. #5539	C₂×C₅	semidirect
271. C₄×#237	C₂×C₅	semidirect
272. C₄×#237	C₂×C₅	semidirect
273. #5495	C₂×C₅	semidirect
274. C₂×#877	C₂×C₅	semidirect
389. C₃×C₅×D₄	#41	semidirect
415. C₂×C₅×Dic₃	#41	semidirect
450. #946	C₂²×C₅	semidirect
451. Q₈×Dic₃	C₂²×C₅	semidirect
452. Q₈×Dic₃	C₂²×C₅	semidirect
453. #944	C₂²×C₅	semidirect
455. #939	C₂²×C₅	semidirect
456. #939	C₂²×C₅	semidirect
459. #936	C₂²×C₅	semidirect
462. #935	C₂²×C₅	semidirect
463. #935	C₂²×C₅	semidirect
472. D₄×Dic₃	C₂²×C₅	semidirect
473. D₄×Dic₃	C₂²×C₅	semidirect
474. D₄×Dic₃	C₂²×C₅	semidirect
475. #929	C₂²×C₅	semidirect
477. C₄×#67	C₂²×C₅	semidirect
478. C₄×#67	C₂²×C₅	semidirect
479. #926	C₂²×C₅	semidirect
480. #926	C₂²×C₅	semidirect
483. #924	C₂²×C₅	semidirect
484. #924	C₂²×C₅	semidirect
485. C₂×Dic₃⋊C₄	C₂²×C₅	semidirect
486. C₂×Dic₃⋊C₄	C₂²×C₅	semidirect
488. C₂×C₄×Dic₃	C₂²×C₅	semidirect
489. C₂×C₄×Dic₃	C₂²×C₅	semidirect
490. C₂×C₄×Dic₃	C₂²×C₅	semidirect
491. #898	C₂²×C₅	semidirect
492. #892	C₂²×C₅	semidirect
493. #892	C₂²×C₅	semidirect
494. #890	C₂²×C₅	semidirect
495. #890	C₂²×C₅	semidirect
496. #889	C₂²×C₅	semidirect
497. #889	C₂²×C₅	semidirect
498. #888	C₂²×C₅	semidirect
499. #887	C₂²×C₅	semidirect
500. #887	C₂²×C₅	semidirect
501. #887	C₂²×C₅	semidirect
503. #885	C₂²×C₅	semidirect
504. #883	C₂²×C₅	semidirect
506. #67⋊C₄	C₂²×C₅	semidirect
507. #67⋊C₄	C₂²×C₅	semidirect
508. #67⋊C₄	C₂²×C₅	semidirect
509. #879	C₂²×C₅	semidirect
510. #879	C₂²×C₅	semidirect
511. #879	C₂²×C₅	semidirect
512. #879	C₂²×C₅	semidirect
513. #879	C₂²×C₅	semidirect
515. #878	C₂²×C₅	semidirect
516. #878	C₂²×C₅	semidirect
517. #878	C₂²×C₅	semidirect
522. #877	C₂²×C₅	semidirect
523. #877	C₂²×C₅	semidirect
524. #877	C₂²×C₅	semidirect
525. #877	C₂²×C₅	semidirect
526. #877	C₂²×C₅	semidirect
527. #877	C₂²×C₅	semidirect
528. C₄²×D₃	C₂²×C₅	semidirect
529. #870	C₂²×C₅	semidirect
530. C₄×Dic₆	C₂²×C₅	semidirect
531. C₄×Dic₆	C₂²×C₅	semidirect
647. #546	C₅×D₃	semidirect
819. C₅×D₄	#237	semidirect
977. C₃×D₄	C₅×#41	semidirect
1003. C₂×Dic₃	C₅×#41	semidirect
1160. C₃×C₅	#3475	semidirect
1225. D₄	C₅×#237	semidirect
1270. C₅	#86627	direct (N × H)
1306. C₃	C₅×#3475	semidirect

Maximal subgroups

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

subgroup	index
C₃×C₅×#546	2
C₅×Dic₃×#41	2
C₅×#5824	2
C₅×#5806	2
C₂×C₅×D₄×Dic₃	2
C₅×#5680	2
C₅×#5671	2
C₅×#5650	2
C₅×#5649	2
C₅×#5642	2
C₅×#5622	2
C₅×#5616	2
C₅×#5601	2
C₅×#5600	2
C₅×#5587	2
C₅×#5586	2
C₅×#5541	2
C₅×#5539	2
C₄×C₅×#237	2
C₅×#5495	2
C₂×C₅×#877	2
C₅×#3475	3
#86627	5

Subgroups — C5×#86627 #14484108

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₅×#86627 #14484108