Subgroups — C₅×#86150 #14484111

Order 1920.

2264 conjugacy classes of subgroups.

The subgroup lattice has 1964 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×C₅×#529	C₂	1	1	yes	maximal, characteristic, complemented
2	C₅×#5709	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#5708	C₂	1	1	yes	maximal, characteristic, complemented
4	C₅×#5705	C₂	1	1	yes	maximal, characteristic, complemented
5	C₅×#5702	C₂	1	1	yes	maximal, characteristic, complemented
6	C₅×#5693	C₂	1	1	yes	maximal, characteristic, complemented
7	C₅×#5693	C₂	1	1	yes	maximal, characteristic, complemented
8	C₅×#5679	C₂	1	1	yes	maximal, characteristic, complemented
9	C₅×#5670	C₂	1	1	yes	maximal, characteristic, complemented
10	C₅×#5658	C₂	1	1	yes	maximal, characteristic, complemented
11	C₅×#5655	C₂	1	1	yes	maximal, characteristic, complemented
12	C₅×#5654	C₂	1	1	yes	maximal, characteristic, complemented
13	C₅×#5650	C₂	1	1	yes	maximal, characteristic, complemented
14	C₅×#5637	C₂	1	1	yes	maximal, characteristic, complemented
15	C₅×#5636	C₂	1	1	yes	maximal, characteristic, complemented
16	C₅×#5610	C₂	1	1	yes	maximal, characteristic, complemented
17	C₅×#5601	C₂	1	1	yes	maximal, characteristic, complemented
18	C₅×#5580	C₂	1	1	yes	maximal, characteristic, complemented
19	C₅×#5578	C₂	1	1	yes	maximal, characteristic, complemented
20	C₅×#5547	C₂	1	1	yes	maximal, characteristic, complemented
21	C₅×#5547	C₂	1	1	yes	maximal, characteristic, complemented
22	C₄×C₅×D₃×D₄	C₂	1	1	yes	maximal, characteristic, complemented
23	C₅×#5538	C₂	1	1	yes	maximal, characteristic, complemented
24	C₅×#5538	C₂	1	1	yes	maximal, characteristic, complemented
25	C₄×C₅×#237	C₂	1	1	yes	maximal, characteristic, complemented
26	C₅×#5528	C₂	1	1	yes	maximal, characteristic, complemented
27	C₅×#5528	C₂	1	1	yes	maximal, characteristic, complemented
28	C₅×#5522	C₂	1	1	yes	maximal, characteristic, complemented
29	C₅×D₃×#117	C₂	1	1	yes	maximal, characteristic, complemented
30	C₄×C₅×#235	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×C₅×#872	C₂	1	1	yes	maximal, characteristic, complemented
32	C₅×#3475	—	3	1	no	maximal, Hall
33	C₂×C₅×#237	C₂²	1	1	yes	characteristic
34	C₂×C₅×D₃×D₄	C₂²	1	1	yes	characteristic
35	C₂×C₅×#235	C₂²	1	1	yes	characteristic
36	C₂×C₅×#235	C₂²	1	1	yes	characteristic
37	C₂²×C₄×C₅×D₃	C₂²	1	1	yes	characteristic
38	C₂²×C₄×C₅×D₃	C₂²	1	1	yes	characteristic
39	C₃×C₅×#126	C₂²	1	1	yes	characteristic, complemented
40	C₃×C₅×#126	C₂²	1	1	yes	characteristic, complemented
41	C₃×C₅×#125	C₂²	1	1	yes	characteristic, complemented
42	C₃×C₅×#124	C₂²	1	1	yes	characteristic, complemented
43	C₃×C₅×#123	C₂²	1	1	yes	characteristic
44	C₃×C₅×#123	C₂²	1	1	yes	characteristic, complemented
45	C₃×C₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
46	C₃×C₅×#121	C₂²	1	1	yes	characteristic
47	C₃×C₄×C₅×Q₈	C₂²	1	1	yes	characteristic, complemented
48	C₃×C₄×C₅×D₄	C₂²	1	1	yes	characteristic
49	C₃×C₄×C₅×D₄	C₂²	1	1	yes	characteristic, complemented
50	C₃×C₄×C₅×D₄	C₂²	1	1	yes	characteristic, complemented
51	C₃×C₅×#117	C₂²	1	1	yes	characteristic, complemented
52	C₃×C₅×#117	C₂²	1	1	yes	characteristic, complemented
53	C₂×C₃×C₄²×C₅	C₂²	1	1	yes	characteristic, complemented
54	C₅×#947	C₂²	1	1	yes	characteristic, complemented
55	C₅×#946	C₂²	1	1	yes	characteristic
56	C₅×#946	C₂²	1	1	yes	characteristic, complemented
57	C₅×#944	C₂²	1	1	yes	characteristic, complemented
58	C₅×#939	C₂²	1	1	yes	characteristic
59	C₅×#939	C₂²	1	1	yes	characteristic
60	C₅×#939	C₂²	1	1	yes	characteristic, complemented
61	C₅×#939	C₂²	1	1	yes	characteristic, complemented
62	C₅×#937	C₂²	1	1	yes	characteristic
63	C₅×#937	C₂²	1	1	yes	characteristic
64	C₅×#935	C₂²	1	1	yes	characteristic
65	C₅×#935	C₂²	1	1	yes	characteristic, complemented
66	C₅×D₄×Dic₃	C₂²	1	1	yes	characteristic
67	C₅×D₄×Dic₃	C₂²	1	1	yes	characteristic, complemented
68	C₄×C₅×#67	C₂²	1	1	yes	characteristic
69	C₄×C₅×#67	C₂²	1	1	yes	characteristic
70	C₄×C₅×#67	C₂²	1	1	yes	characteristic
71	C₄×C₅×#67	C₂²	1	1	yes	characteristic, complemented
72	C₄×C₅×#67	C₂²	1	1	yes	characteristic, complemented
73	C₄×C₅×#67	C₂²	1	1	yes	characteristic, complemented
74	C₄×C₅×#67	C₂²	1	1	yes	characteristic, complemented
75	C₄×C₅×#67	C₂²	1	1	yes	characteristic, complemented
76	C₂×C₅×(C₂×D₃)⋊C₄	C₂²	1	1	yes	characteristic
77	C₂×C₅×(C₂×D₃)⋊C₄	C₂²	1	1	yes	characteristic
78	C₅×#926	C₂²	1	1	yes	characteristic, complemented
79	C₅×#926	C₂²	1	1	yes	characteristic, complemented
80	C₂×C₅×Dic₃⋊C₄	C₂²	1	1	yes	characteristic, complemented
81	C₂×C₅×Dic₃⋊C₄	C₂²	1	1	yes	characteristic, complemented
82	C₂×C₄×C₅×Dic₃	C₂²	1	1	yes	characteristic, complemented
83	C₂×C₄×C₅×Dic₃	C₂²	1	1	yes	characteristic, complemented
84	C₅×#898	C₂²	1	1	yes	characteristic, complemented
85	C₅×#898	C₂²	1	1	yes	characteristic, complemented
86	C₅×#898	C₂²	1	1	yes	characteristic, complemented
87	C₅×#898	C₂²	1	1	yes	characteristic, complemented
88	C₅×#898	C₂²	1	1	yes	characteristic, complemented
89	C₅×#898	C₂²	1	1	yes	characteristic, complemented
90	C₅×#897	C₂²	1	1	yes	characteristic
91	C₅×#896	C₂²	1	1	yes	characteristic
92	C₅×#896	C₂²	1	1	yes	characteristic
93	C₅×#896	C₂²	1	1	yes	characteristic, complemented
94	C₅×#896	C₂²	1	1	yes	characteristic, complemented
95	C₅×#896	C₂²	1	1	yes	characteristic, complemented
96	C₅×#896	C₂²	1	1	yes	characteristic, complemented
97	C₅×#895	C₂²	1	1	yes	characteristic
98	C₅×#894	C₂²	1	1	yes	characteristic
99	C₅×#894	C₂²	1	1	yes	characteristic
100	C₅×#894	C₂²	1	1	yes	characteristic
101	C₅×#894	C₂²	1	1	yes	characteristic
102	C₅×#894	C₂²	1	1	yes	characteristic, complemented
103	C₅×#894	C₂²	1	1	yes	characteristic, complemented
104	C₅×#893	C₂²	1	1	yes	characteristic
105	C₅×#893	C₂²	1	1	yes	characteristic
106	C₅×#893	C₂²	1	1	yes	characteristic
107	C₅×#892	C₂²	1	1	yes	characteristic
108	C₅×#892	C₂²	1	1	yes	characteristic
109	C₅×#892	C₂²	1	1	yes	characteristic, complemented
110	C₅×D₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
111	C₅×D₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
112	C₅×D₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
113	C₅×#890	C₂²	1	1	yes	characteristic, complemented
114	C₅×#889	C₂²	1	1	yes	characteristic, complemented
115	C₅×#889	C₂²	1	1	yes	characteristic, complemented
116	C₅×#889	C₂²	1	1	yes	characteristic, complemented
117	C₅×#889	C₂²	1	1	yes	characteristic, complemented
118	C₅×#889	C₂²	1	1	yes	characteristic, complemented
119	C₅×#889	C₂²	1	1	yes	characteristic, complemented
120	C₅×#888	C₂²	1	1	yes	characteristic, complemented
121	C₅×#887	C₂²	1	1	yes	characteristic, complemented
122	C₅×#887	C₂²	1	1	yes	characteristic, complemented
123	C₅×#887	C₂²	1	1	yes	characteristic, complemented
124	C₅×#886	C₂²	1	1	yes	characteristic, complemented
125	C₅×#886	C₂²	1	1	yes	characteristic, complemented
126	C₅×#885	C₂²	1	1	yes	characteristic
127	C₅×#885	C₂²	1	1	yes	characteristic
128	C₅×#885	C₂²	1	1	yes	characteristic, complemented
129	C₅×#885	C₂²	1	1	yes	characteristic, complemented
130	C₅×#884	C₂²	1	1	yes	characteristic
131	C₅×#884	C₂²	1	1	yes	characteristic
132	C₅×#884	C₂²	1	1	yes	characteristic, complemented
133	C₅×#884	C₂²	1	1	yes	characteristic, complemented
134	C₅×#883	C₂²	1	1	yes	characteristic
135	C₅×#883	C₂²	1	1	yes	characteristic
136	C₅×#883	C₂²	1	1	yes	characteristic, complemented
137	C₅×#883	C₂²	1	1	yes	characteristic, complemented
138	C₅×#882	C₂²	1	1	yes	characteristic
139	C₅×#882	C₂²	1	1	yes	characteristic
140	C₅×#67⋊C₄	C₂²	1	1	yes	characteristic
141	C₅×#67⋊C₄	C₂²	1	1	yes	characteristic
142	C₅×#67⋊C₄	C₂²	1	1	yes	characteristic
143	C₅×#67⋊C₄	C₂²	1	1	yes	characteristic
144	C₅×#67⋊C₄	C₂²	1	1	yes	characteristic
145	C₅×#67⋊C₄	C₂²	1	1	yes	characteristic, complemented
146	C₅×#67⋊C₄	C₂²	1	1	yes	characteristic, complemented
147	C₅×#67⋊C₄	C₂²	1	1	yes	characteristic, complemented
148	C₅×D₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
149	C₅×D₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
150	C₅×D₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
151	C₅×D₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
152	C₅×#879	C₂²	1	1	yes	characteristic, complemented
153	C₅×#879	C₂²	1	1	yes	characteristic, complemented
154	C₅×#879	C₂²	1	1	yes	characteristic, complemented
155	C₅×#879	C₂²	1	1	yes	characteristic, complemented
156	C₅×#878	C₂²	1	1	yes	characteristic, complemented
157	C₅×#878	C₂²	1	1	yes	characteristic, complemented
158	C₅×#878	C₂²	1	1	yes	characteristic, complemented
159	C₅×#878	C₂²	1	1	yes	characteristic, complemented
160	C₅×#877	C₂²	1	1	yes	characteristic, complemented
161	C₅×#877	C₂²	1	1	yes	characteristic, complemented
162	C₅×#877	C₂²	1	1	yes	characteristic, complemented
163	C₅×#877	C₂²	1	1	yes	characteristic, complemented
164	C₄×C₅×D₁₂	C₂²	1	1	yes	characteristic
165	C₄×C₅×D₁₂	C₂²	1	1	yes	characteristic, complemented
166	C₄×C₅×D₁₂	C₂²	1	1	yes	characteristic, complemented
167	C₄×C₅×D₁₂	C₂²	1	1	yes	characteristic, complemented
168	C₅×#872	C₂²	1	1	yes	characteristic
169	C₅×#872	C₂²	1	1	yes	characteristic
170	C₅×#872	C₂²	1	1	yes	characteristic
171	C₅×#872	C₂²	1	1	yes	characteristic
172	C₅×#872	C₂²	1	1	yes	characteristic
173	C₅×#872	C₂²	1	1	yes	characteristic, complemented
174	C₅×#872	C₂²	1	1	yes	characteristic, complemented
175	C₅×#872	C₂²	1	1	yes	characteristic, complemented
176	C₅×#872	C₂²	1	1	yes	characteristic, complemented
177	C₅×#872	C₂²	1	1	yes	characteristic, complemented
178	C₅×#872	C₂²	1	1	yes	characteristic, complemented
179	C₅×#872	C₂²	1	1	yes	characteristic, complemented
180	C₄²×C₅×D₃	C₂²	1	1	yes	characteristic
181	C₄²×C₅×D₃	C₂²	1	1	yes	characteristic, complemented
182	C₄²×C₅×D₃	C₂²	1	1	yes	characteristic, complemented
183	C₄²×C₅×D₃	C₂²	1	1	yes	characteristic, complemented
184	C₄×C₅×Dic₆	C₂²	1	1	yes	characteristic, complemented
185	C₄×C₅×Dic₆	C₂²	1	1	yes	characteristic, complemented
186	C₄×C₅×Dic₆	C₂²	1	1	yes	characteristic, complemented
187	C₄×C₅×Dic₆	C₂²	1	1	yes	characteristic, complemented
188	#86150	C₅	1	1	yes	maximal, characteristic, direct product factor, Hall
189	C₅×#556	—	3	1	no	—
190	C₅×#555	—	3	1	no	—
191	C₅×#554	—	3	1	no	—
192	C₅×#553	—	3	1	no	—
193	C₅×#553	—	3	1	no	—
194	C₅×#552	—	3	1	no	—
195	C₅×#552	—	3	1	no	—
196	C₅×#552	—	3	1	no	—
197	C₅×#552	—	3	1	no	—
198	C₅×#551	—	3	1	no	—
199	C₅×#551	—	3	1	no	—
200	C₅×#551	—	3	1	no	—
201	C₅×#551	—	3	1	no	—
202	C₅×#547	—	3	1	no	—
203	C₅×#546	—	3	1	no	—
204	C₅×#546	—	3	1	no	—
205	C₅×#533	—	3	1	no	—
206	C₅×#529	—	3	1	no	—
207	C₅×#529	—	3	1	no	—
208	C₅×#529	—	3	1	no	—
209	C₅×#529	—	3	1	no	—
210	C₅×#529	—	3	1	no	—
211	C₅×#529	D₃	1	1	yes	characteristic, complemented
212	C₅×#525	—	3	1	no	—
213	C₅×#525	—	3	1	no	—
214	C₄×C₅×#41	—	3	1	no	—
215	C₄×C₅×#41	—	3	1	no	—
216	C₄×C₅×#41	—	3	1	no	—
217	C₂×C₄×C₅×D₄	—	3	1	no	—
218	C₂×C₅×#117	—	3	1	no	—
219	C₂×C₅×#117	—	3	1	no	—
220	C₂³×C₅×D₃	C₂³	1	1	yes	characteristic
221	C₂³×C₅×D₃	C₂³	1	1	yes	characteristic
222	C₂×C₃×C₅×Q₈	C₂³	1	1	yes	characteristic
223	C₂×C₃×C₅×D₄	C₂³	1	1	yes	characteristic
224	C₂×C₃×C₅×D₄	C₂³	1	1	yes	characteristic
225	C₂×C₃×C₅×D₄	C₂³	1	1	yes	characteristic
226	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
227	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
228	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
229	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
230	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
231	C₂×C₅×#67	C₂³	1	1	yes	characteristic
232	C₂×C₅×#67	C₂³	1	1	yes	characteristic
233	C₂×C₅×#67	C₂³	1	1	yes	characteristic
234	C₂×C₅×#67	C₂³	1	1	yes	characteristic
235	C₂×C₅×#67	C₂³	1	1	yes	characteristic
236	C₂×C₅×#67	C₂³	1	1	yes	characteristic
237	C₂×C₅×#67	C₂³	1	1	yes	characteristic
238	C₂×C₅×#67	C₂³	1	1	yes	characteristic
239	C₂²×C₅×Dic₃	C₂³	1	1	yes	characteristic
240	C₂²×C₅×Dic₃	C₂³	1	1	yes	characteristic
241	C₂²×C₅×Dic₃	C₂³	1	1	yes	characteristic
242	C₂²×C₅×Dic₃	C₂³	1	1	yes	characteristic
243	C₂²×C₅×Dic₃	C₂³	1	1	yes	characteristic
244	C₂²×C₅×Dic₃	C₂³	1	1	yes	characteristic
245	C₅×#237	—	2	4	no	—
246	C₅×D₃×D₄	—	2	4	no	—
247	C₅×#235	—	2	4	no	—
248	C₅×#235	—	2	4	no	—
249	C₂×C₅×D₁₂	C₂³	1	1	yes	characteristic
250	C₂×C₅×D₁₂	C₂³	1	1	yes	characteristic
251	C₂×C₅×D₁₂	C₂³	1	1	yes	characteristic
252	C₂×C₅×D₁₂	C₂³	1	1	yes	characteristic
253	C₂×C₄×C₅×D₃	—	2	4	no	—
254	C₂×C₄×C₅×D₃	—	2	4	no	—
255	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic
256	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic
257	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic
258	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic
259	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic
260	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic
261	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic
262	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic
263	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic
264	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic
265	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic
266	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic
267	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic
268	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic
269	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic
270	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic
271	C₂×C₅×Dic₆	C₂³	1	1	yes	characteristic
272	C₂×C₅×Dic₆	C₂³	1	1	yes	characteristic
273	C₂×C₅×Dic₆	C₂³	1	1	yes	characteristic
274	C₂×C₅×Dic₆	C₂³	1	1	yes	characteristic
275	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
276	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
277	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
278	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
279	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
280	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
281	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
282	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
283	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
284	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
285	C₃×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
286	C₃×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
287	C₃×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
288	C₃×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
289	C₃×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
290	C₃×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
291	C₃×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
292	C₃×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
293	C₃×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
294	C₃×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
295	C₃×C₄²×C₅	C₂³	1	1	yes	characteristic
296	C₃×C₄²×C₅	C₂³	1	1	yes	characteristic
297	C₃×C₄²×C₅	C₂³	1	1	yes	characteristic
298	C₃×C₄²×C₅	C₂³	1	1	yes	characteristic
299	C₃×C₄²×C₅	C₂³	1	1	yes	characteristic
300	C₃×C₄²×C₅	C₂³	1	1	yes	characteristic
301	C₅×#217	C₂³	1	1	yes	characteristic
302	C₅×#217	C₂³	1	1	yes	characteristic
303	C₅×#217	C₂³	1	1	yes	characteristic
304	C₅×#217	C₂³	1	1	yes	characteristic
305	C₅×#217	C₂³	1	1	yes	characteristic
306	C₅×#217	C₂³	1	1	yes	characteristic
307	C₅×#217	C₂³	1	1	yes	characteristic
308	C₅×#217	C₂³	1	1	yes	characteristic
309	C₅×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
310	C₅×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
311	C₅×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
312	C₅×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
313	C₅×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
314	C₅×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
315	C₅×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
316	C₅×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
317	C₅×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
318	C₅×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
319	C₅×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
320	C₅×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
321	C₅×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
322	C₅×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
323	C₅×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
324	C₅×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
325	C₅×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
326	C₅×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
327	C₅×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
328	C₅×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
329	C₅×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
330	C₅×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
331	C₅×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
332	C₅×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
333	C₅×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
334	C₅×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
335	C₅×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
336	C₅×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
337	C₅×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
338	C₅×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
339	C₅×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
340	C₅×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
341	C₅×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
342	C₅×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
343	C₅×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
344	C₅×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
345	C₅×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
346	C₅×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
347	C₅×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
348	C₅×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
349	C₅×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
350	C₅×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
351	C₅×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
352	C₅×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
353	C₅×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
354	C₅×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
355	C₅×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
356	C₅×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
357	C₅×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
358	C₅×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
359	C₅×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
360	C₅×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
361	C₅×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
362	C₅×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
363	C₅×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
364	C₅×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
365	C₄×C₅×Dic₃	C₂³	1	1	yes	characteristic
366	C₄×C₅×Dic₃	C₂³	1	1	yes	characteristic
367	C₄×C₅×Dic₃	C₂³	1	1	yes	characteristic
368	C₄×C₅×Dic₃	C₂³	1	1	yes	characteristic
369	C₄×C₅×Dic₃	C₂³	1	1	yes	characteristic
370	C₄×C₅×Dic₃	C₂³	1	1	yes	characteristic
371	C₄×C₅×Dic₃	C₂³	1	1	yes	characteristic
372	C₄×C₅×Dic₃	C₂³	1	1	yes	characteristic
373	C₄×C₅×Dic₃	C₂³	1	1	yes	characteristic
374	C₄×C₅×Dic₃	C₂³	1	1	yes	characteristic
375	C₄×C₅×Dic₃	C₂³	1	1	yes	characteristic
376	C₄×C₅×Dic₃	C₂³	1	1	yes	characteristic
377	C₄×C₅×Dic₃	C₂³	1	1	yes	characteristic
378	C₄×C₅×Dic₃	C₂³	1	1	yes	characteristic
379	C₄×C₅×Dic₃	C₂³	1	1	yes	characteristic
380	C₄×C₅×Dic₃	C₂³	1	1	yes	characteristic
381	C₃×#529	C₂×C₅	1	1	yes	characteristic, complemented
382	#5709	C₂×C₅	1	1	yes	characteristic, complemented
383	#5708	C₂×C₅	1	1	yes	characteristic, complemented
384	#5705	C₂×C₅	1	1	yes	characteristic, complemented
385	#5702	C₂×C₅	1	1	yes	characteristic, complemented
386	#5693	C₂×C₅	1	1	yes	characteristic, complemented
387	#5693	C₂×C₅	1	1	yes	characteristic, complemented
388	#5679	C₂×C₅	1	1	yes	characteristic, complemented
389	#5670	C₂×C₅	1	1	yes	characteristic, complemented
390	#5658	C₂×C₅	1	1	yes	characteristic, complemented
391	#5655	C₂×C₅	1	1	yes	characteristic, complemented
392	#5654	C₂×C₅	1	1	yes	characteristic, complemented
393	#5650	C₂×C₅	1	1	yes	characteristic, complemented
394	#5637	C₂×C₅	1	1	yes	characteristic, complemented
395	#5636	C₂×C₅	1	1	yes	characteristic, complemented
396	#5610	C₂×C₅	1	1	yes	characteristic, complemented
397	#5601	C₂×C₅	1	1	yes	characteristic, complemented
398	#5580	C₂×C₅	1	1	yes	characteristic, complemented
399	#5578	C₂×C₅	1	1	yes	characteristic, complemented
400	#5547	C₂×C₅	1	1	yes	characteristic, complemented
401	#5547	C₂×C₅	1	1	yes	characteristic, complemented
402	C₄×D₃×D₄	C₂×C₅	1	1	yes	characteristic, complemented
403	#5538	C₂×C₅	1	1	yes	characteristic, complemented
404	#5538	C₂×C₅	1	1	yes	characteristic, complemented
405	C₄×#237	C₂×C₅	1	1	yes	characteristic, complemented
406	#5528	C₂×C₅	1	1	yes	characteristic, complemented
407	#5528	C₂×C₅	1	1	yes	characteristic, complemented
408	#5522	C₂×C₅	1	1	yes	characteristic, complemented
409	D₃×#117	C₂×C₅	1	1	yes	characteristic, complemented
410	C₄×#235	C₂×C₅	1	1	yes	characteristic, complemented
411	C₂×#872	C₂×C₅	1	1	yes	characteristic, complemented
412	C₂×C₅×#41	—	3	1	no	—
413	C₂×C₅×#41	—	3	1	no	—
414	C₂×C₅×#41	—	3	1	no	—
415	C₂²×C₅×D₄	—	3	1	no	—
416	C₂³×C₄×C₅	—	3	1	no	—
417	C₂³×C₄×C₅	—	3	1	no	—
418	C₅×C₄⋊Q₈	—	3	1	no	—
419	C₅×C₄⋊Q₈	—	3	1	no	—
420	C₅×#126	—	3	1	no	—
421	C₅×#126	—	3	1	no	—
422	C₅×#126	—	3	1	no	—
423	C₅×#126	—	3	1	no	—
424	C₅×#126	—	3	1	no	—
425	C₅×#126	—	3	1	no	—
426	C₅×#126	—	3	1	no	—
427	C₅×#126	—	3	1	no	—
428	C₅×#126	—	3	1	no	—
429	C₅×#126	—	3	1	no	—
430	C₅×#126	C₂×D₃	1	1	yes	characteristic, complemented
431	C₅×#126	C₂×D₃	1	1	yes	characteristic, complemented
432	C₅×#125	—	3	1	no	—
433	C₅×#125	—	3	1	no	—
434	C₅×#125	—	3	1	no	—
435	C₅×#125	—	3	1	no	—
436	C₅×#125	—	3	1	no	—
437	C₅×#125	—	3	1	no	—
438	C₅×#125	—	3	1	no	—
439	C₅×#125	C₂×D₃	1	1	yes	characteristic, complemented
440	C₅×#124	—	3	1	no	—
441	C₅×#124	—	3	1	no	—
442	C₅×#124	—	3	1	no	—
443	C₅×#124	—	3	1	no	—
444	C₅×#124	—	3	1	no	—
445	C₅×#124	C₂×D₃	1	1	yes	characteristic, complemented
446	C₅×#123	—	3	1	no	—
447	C₅×#123	—	3	1	no	—
448	C₅×#123	—	3	1	no	—
449	C₅×#123	—	3	1	no	—
450	C₅×#123	—	3	1	no	—
451	C₅×#123	—	3	1	no	—
452	C₅×#123	—	3	1	no	—
453	C₅×#123	—	3	1	no	—
454	C₅×#123	—	3	1	no	—
455	C₅×#123	—	3	1	no	—
456	C₅×#123	—	3	1	no	—
457	C₅×#123	—	3	1	no	—
458	C₅×#123	—	3	1	no	—
459	C₅×#123	—	3	1	no	—
460	C₅×#123	C₂×D₃	1	1	yes	characteristic
461	C₅×#123	C₂×D₃	1	1	yes	characteristic, complemented
462	C₅×C₂²⋊Q₈	—	3	1	no	—
463	C₅×C₂²⋊Q₈	—	3	1	no	—
464	C₅×C₂²⋊Q₈	—	3	1	no	—
465	C₅×C₂²⋊Q₈	—	3	1	no	—
466	C₅×C₂²⋊Q₈	—	3	1	no	—
467	C₅×C₂²⋊Q₈	—	3	1	no	—
468	C₅×C₂²⋊Q₈	—	3	1	no	—
469	C₅×C₂²⋊Q₈	—	3	1	no	—
470	C₅×C₂²⋊Q₈	—	3	1	no	—
471	C₅×C₂²⋊Q₈	—	3	1	no	—
472	C₅×C₂²⋊Q₈	—	3	1	no	—
473	C₅×C₂²⋊Q₈	—	3	1	no	—
474	C₅×C₂²⋊Q₈	—	3	1	no	—
475	C₅×C₂²⋊Q₈	C₂×D₃	1	1	yes	characteristic, complemented
476	C₅×#121	—	3	1	no	—
477	C₅×#121	—	3	1	no	—
478	C₅×#121	—	3	1	no	—
479	C₅×#121	—	3	1	no	—
480	C₅×#121	—	3	1	no	—
481	C₅×#121	—	3	1	no	—
482	C₅×#121	—	3	1	no	—
483	C₅×#121	—	3	1	no	—
484	C₅×#121	—	3	1	no	—
485	C₅×#121	C₂×D₃	1	1	yes	characteristic
486	C₅×#120	—	3	1	no	—
487	C₅×#120	—	3	1	no	—
488	C₅×#120	—	3	1	no	—
489	C₅×#120	—	3	1	no	—
490	C₄×C₅×Q₈	—	3	1	no	—
491	C₄×C₅×Q₈	—	3	1	no	—
492	C₄×C₅×Q₈	—	3	1	no	—
493	C₄×C₅×Q₈	—	3	1	no	—
494	C₄×C₅×Q₈	—	3	1	no	—
495	C₄×C₅×Q₈	—	3	1	no	—
496	C₄×C₅×Q₈	—	3	1	no	—
497	C₄×C₅×Q₈	C₂×D₃	1	1	yes	characteristic, complemented
498	C₄×C₅×D₄	—	3	1	no	—
499	C₄×C₅×D₄	—	3	1	no	—
500	C₄×C₅×D₄	—	3	1	no	—
501	C₄×C₅×D₄	—	3	1	no	—
502	C₄×C₅×D₄	—	3	1	no	—
503	C₄×C₅×D₄	—	3	1	no	—
504	C₄×C₅×D₄	—	3	1	no	—
505	C₄×C₅×D₄	—	3	1	no	—
506	C₄×C₅×D₄	—	3	1	no	—
507	C₄×C₅×D₄	—	3	1	no	—
508	C₄×C₅×D₄	—	3	1	no	—
509	C₄×C₅×D₄	—	3	1	no	—
510	C₄×C₅×D₄	—	3	1	no	—
511	C₄×C₅×D₄	—	3	1	no	—
512	C₄×C₅×D₄	—	3	1	no	—
513	C₄×C₅×D₄	—	3	1	no	—
514	C₄×C₅×D₄	—	3	1	no	—
515	C₄×C₅×D₄	—	3	1	no	—
516	C₄×C₅×D₄	—	3	1	no	—
517	C₄×C₅×D₄	—	3	1	no	—
518	C₄×C₅×D₄	—	3	1	no	—
519	C₄×C₅×D₄	—	3	1	no	—
520	C₄×C₅×D₄	—	3	1	no	—
521	C₄×C₅×D₄	—	3	1	no	—
522	C₄×C₅×D₄	—	3	1	no	—
523	C₄×C₅×D₄	C₂×D₃	1	1	yes	characteristic
524	C₄×C₅×D₄	C₂×D₃	1	1	yes	characteristic, complemented
525	C₄×C₅×D₄	C₂×D₃	1	1	yes	characteristic, complemented
526	C₅×#117	—	3	1	no	—
527	C₅×#117	—	3	1	no	—
528	C₅×#117	—	3	1	no	—
529	C₅×#117	—	3	1	no	—
530	C₅×#117	—	3	1	no	—
531	C₅×#117	—	3	1	no	—
532	C₅×#117	—	3	1	no	—
533	C₅×#117	—	3	1	no	—
534	C₅×#117	—	3	1	no	—
535	C₅×#117	—	3	1	no	—
536	C₅×#117	—	3	1	no	—
537	C₅×#117	—	3	1	no	—
538	C₅×#117	—	3	1	no	—
539	C₅×#117	—	3	1	no	—
540	C₅×#117	—	3	1	no	—
541	C₅×#117	—	3	1	no	—
542	C₅×#117	—	3	1	no	—
543	C₅×#117	—	3	1	no	—
544	C₅×#117	—	3	1	no	—
545	C₅×#117	—	3	1	no	—
546	C₅×#117	—	3	1	no	—
547	C₅×#117	C₂×D₃	1	1	yes	characteristic, complemented
548	C₅×#117	C₂×D₃	1	1	yes	characteristic, complemented
549	C₂×C₅×C₄⋊C₄	—	3	1	no	—
550	C₂×C₅×C₄⋊C₄	—	3	1	no	—
551	C₂×C₅×C₄⋊C₄	—	3	1	no	—
552	C₂×C₅×C₄⋊C₄	—	3	1	no	—
553	C₂×C₅×C₄⋊C₄	—	3	1	no	—
554	C₂×C₅×C₂²⋊C₄	—	3	1	no	—
555	C₂×C₅×C₂²⋊C₄	—	3	1	no	—
556	C₂×C₅×C₂²⋊C₄	—	3	1	no	—
557	C₂×C₅×C₂²⋊C₄	—	3	1	no	—
558	C₂×C₅×C₂²⋊C₄	—	3	1	no	—
559	C₂×C₅×C₂²⋊C₄	—	3	1	no	—
560	C₂×C₄²×C₅	—	3	1	no	—
561	C₂×C₄²×C₅	—	3	1	no	—
562	C₂×C₄²×C₅	—	3	1	no	—
563	C₂×C₄²×C₅	—	3	1	no	—
564	C₂×C₄²×C₅	—	3	1	no	—
565	C₂×C₄²×C₅	—	3	1	no	—
566	C₂×C₄²×C₅	C₂×D₃	1	1	yes	characteristic, complemented
567	#3475	—	3	1	no	Sylow
568	C₂³×C₃×C₅	C₂⁴	1	1	yes	characteristic
569	C₂³×C₃×C₅	C₂⁴	1	1	yes	characteristic
570	C₂³×C₃×C₅	C₂⁴	1	1	yes	characteristic
571	C₂²×C₅×D₃	—	2	2	no	—
572	C₂²×C₅×D₃	—	2	2	no	—
573	C₂²×C₅×D₃	—	2	2	no	—
574	C₂²×C₅×D₃	—	2	2	no	—
575	C₂²×C₅×D₃	—	4	1	no	—
576	C₂²×C₅×D₃	—	4	1	no	—
577	C₂²×C₅×D₃	C₂⁴	1	1	yes	characteristic
578	C₂²×C₅×D₃	C₂⁴	1	1	yes	characteristic
579	C₂²×C₅×D₃	C₂⁴	1	1	yes	characteristic
580	C₂²×C₅×D₃	C₂⁴	1	1	yes	characteristic
581	C₃×C₅×Q₈	—	4	1	no	—
582	C₃×C₅×D₄	—	2	2	no	—
583	C₃×C₅×D₄	—	2	2	no	—
584	C₃×C₅×D₄	—	4	1	no	—
585	C₂×C₃×C₄×C₅	—	2	2	no	—
586	C₂×C₃×C₄×C₅	—	2	2	no	—
587	C₂×C₃×C₄×C₅	—	2	2	no	—
588	C₂×C₃×C₄×C₅	—	2	2	no	—
589	C₂×C₃×C₄×C₅	—	4	1	no	—
590	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
591	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
592	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
593	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
594	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
595	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
596	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
597	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
598	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
599	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
600	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
601	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
602	C₅×#67	—	2	2	no	—
603	C₅×#67	—	2	2	no	—
604	C₅×#67	—	2	2	no	—
605	C₅×#67	—	2	2	no	—
606	C₅×#67	—	2	2	no	—
607	C₅×#67	—	4	1	no	—
608	C₅×#67	—	4	1	no	—
609	C₅×#67	#41	1	4	yes	complemented
610	C₂×C₅×Dic₃	—	2	2	no	—
611	C₂×C₅×Dic₃	—	2	2	no	—
612	C₂×C₅×Dic₃	—	2	2	no	—
613	C₂×C₅×Dic₃	—	2	2	no	—
614	C₂×C₅×Dic₃	—	4	1	no	—
615	C₂×C₅×Dic₃	—	4	1	no	—
616	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
617	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
618	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
619	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
620	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
621	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
622	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
623	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
624	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
625	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
626	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
627	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
628	C₅×D₁₂	—	2	2	no	—
629	C₅×D₁₂	—	2	2	no	—
630	C₅×D₁₂	—	2	2	no	—
631	C₅×D₁₂	—	4	1	no	—
632	C₄×C₅×D₃	—	2	2	no	—
633	C₄×C₅×D₃	—	2	2	no	—
634	C₄×C₅×D₃	—	2	2	no	—
635	C₄×C₅×D₃	—	2	2	no	—
636	C₄×C₅×D₃	—	2	2	no	—
637	C₄×C₅×D₃	—	2	2	no	—
638	C₄×C₅×D₃	—	2	2	no	—
639	C₄×C₅×D₃	—	2	2	no	—
640	C₄×C₅×D₃	—	2	2	no	—
641	C₄×C₅×D₃	—	2	2	no	—
642	C₄×C₅×D₃	—	2	2	no	—
643	C₄×C₅×D₃	—	4	1	no	—
644	C₄×C₅×D₃	—	4	1	no	—
645	C₄×C₅×D₃	—	4	1	no	—
646	C₄×C₅×D₃	—	4	1	no	—
647	C₄×C₅×D₃	#41	1	4	yes	complemented
648	C₅×Dic₆	—	2	2	no	—
649	C₅×Dic₆	—	2	2	no	—
650	C₅×Dic₆	—	2	2	no	—
651	C₅×Dic₆	—	4	1	no	—
652	C₂×#237	C₂²×C₅	1	1	yes	characteristic
653	C₂×D₃×D₄	C₂²×C₅	1	1	yes	characteristic
654	C₂×#235	C₂²×C₅	1	1	yes	characteristic
655	C₂×#235	C₂²×C₅	1	1	yes	characteristic
656	C₂²×C₄×D₃	C₂²×C₅	1	1	yes	characteristic
657	C₂²×C₄×D₃	C₂²×C₅	1	1	yes	characteristic
658	C₃×#126	C₂²×C₅	1	1	yes	characteristic, complemented
659	C₃×#126	C₂²×C₅	1	1	yes	characteristic, complemented
660	C₃×#125	C₂²×C₅	1	1	yes	characteristic, complemented
661	C₃×#124	C₂²×C₅	1	1	yes	characteristic, complemented
662	C₃×#123	C₂²×C₅	1	1	yes	characteristic
663	C₃×#123	C₂²×C₅	1	1	yes	characteristic, complemented
664	C₃×C₂²⋊Q₈	C₂²×C₅	1	1	yes	characteristic, complemented
665	C₃×#121	C₂²×C₅	1	1	yes	characteristic
666	C₃×C₄×Q₈	C₂²×C₅	1	1	yes	characteristic, complemented
667	C₃×C₄×D₄	C₂²×C₅	1	1	yes	characteristic
668	C₃×C₄×D₄	C₂²×C₅	1	1	yes	characteristic, complemented
669	C₃×C₄×D₄	C₂²×C₅	1	1	yes	characteristic, complemented
670	C₃×#117	C₂²×C₅	1	1	yes	characteristic, complemented
671	C₃×#117	C₂²×C₅	1	1	yes	characteristic, complemented
672	C₂×C₃×C₄²	C₂²×C₅	1	1	yes	characteristic, complemented
673	#947	C₂²×C₅	1	1	yes	characteristic, complemented
674	#946	C₂²×C₅	1	1	yes	characteristic
675	#946	C₂²×C₅	1	1	yes	characteristic, complemented
676	#944	C₂²×C₅	1	1	yes	characteristic, complemented
677	#939	C₂²×C₅	1	1	yes	characteristic
678	#939	C₂²×C₅	1	1	yes	characteristic
679	#939	C₂²×C₅	1	1	yes	characteristic, complemented
680	#939	C₂²×C₅	1	1	yes	characteristic, complemented
681	#937	C₂²×C₅	1	1	yes	characteristic
682	#937	C₂²×C₅	1	1	yes	characteristic
683	#935	C₂²×C₅	1	1	yes	characteristic
684	#935	C₂²×C₅	1	1	yes	characteristic, complemented
685	D₄×Dic₃	C₂²×C₅	1	1	yes	characteristic
686	D₄×Dic₃	C₂²×C₅	1	1	yes	characteristic, complemented
687	C₄×#67	C₂²×C₅	1	1	yes	characteristic
688	C₄×#67	C₂²×C₅	1	1	yes	characteristic
689	C₄×#67	C₂²×C₅	1	1	yes	characteristic
690	C₄×#67	C₂²×C₅	1	1	yes	characteristic, complemented
691	C₄×#67	C₂²×C₅	1	1	yes	characteristic, complemented
692	C₄×#67	C₂²×C₅	1	1	yes	characteristic, complemented
693	C₄×#67	C₂²×C₅	1	1	yes	characteristic, complemented
694	C₄×#67	C₂²×C₅	1	1	yes	characteristic, complemented
695	C₂×(C₂×D₃)⋊C₄	C₂²×C₅	1	1	yes	characteristic
696	C₂×(C₂×D₃)⋊C₄	C₂²×C₅	1	1	yes	characteristic
697	#926	C₂²×C₅	1	1	yes	characteristic, complemented
698	#926	C₂²×C₅	1	1	yes	characteristic, complemented
699	C₂×Dic₃⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
700	C₂×Dic₃⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
701	C₂×C₄×Dic₃	C₂²×C₅	1	1	yes	characteristic, complemented
702	C₂×C₄×Dic₃	C₂²×C₅	1	1	yes	characteristic, complemented
703	#898	C₂²×C₅	1	1	yes	characteristic, complemented
704	#898	C₂²×C₅	1	1	yes	characteristic, complemented
705	#898	C₂²×C₅	1	1	yes	characteristic, complemented
706	#898	C₂²×C₅	1	1	yes	characteristic, complemented
707	#898	C₂²×C₅	1	1	yes	characteristic, complemented
708	#898	C₂²×C₅	1	1	yes	characteristic, complemented
709	#897	C₂²×C₅	1	1	yes	characteristic
710	#896	C₂²×C₅	1	1	yes	characteristic
711	#896	C₂²×C₅	1	1	yes	characteristic
712	#896	C₂²×C₅	1	1	yes	characteristic, complemented
713	#896	C₂²×C₅	1	1	yes	characteristic, complemented
714	#896	C₂²×C₅	1	1	yes	characteristic, complemented
715	#896	C₂²×C₅	1	1	yes	characteristic, complemented
716	#895	C₂²×C₅	1	1	yes	characteristic
717	#894	C₂²×C₅	1	1	yes	characteristic
718	#894	C₂²×C₅	1	1	yes	characteristic
719	#894	C₂²×C₅	1	1	yes	characteristic
720	#894	C₂²×C₅	1	1	yes	characteristic
721	#894	C₂²×C₅	1	1	yes	characteristic, complemented
722	#894	C₂²×C₅	1	1	yes	characteristic, complemented
723	#893	C₂²×C₅	1	1	yes	characteristic
724	#893	C₂²×C₅	1	1	yes	characteristic
725	#893	C₂²×C₅	1	1	yes	characteristic
726	#892	C₂²×C₅	1	1	yes	characteristic
727	#892	C₂²×C₅	1	1	yes	characteristic
728	#892	C₂²×C₅	1	1	yes	characteristic, complemented
729	D₃×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
730	D₃×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
731	D₃×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
732	#890	C₂²×C₅	1	1	yes	characteristic, complemented
733	#889	C₂²×C₅	1	1	yes	characteristic, complemented
734	#889	C₂²×C₅	1	1	yes	characteristic, complemented
735	#889	C₂²×C₅	1	1	yes	characteristic, complemented
736	#889	C₂²×C₅	1	1	yes	characteristic, complemented
737	#889	C₂²×C₅	1	1	yes	characteristic, complemented
738	#889	C₂²×C₅	1	1	yes	characteristic, complemented
739	#888	C₂²×C₅	1	1	yes	characteristic, complemented
740	#887	C₂²×C₅	1	1	yes	characteristic, complemented
741	#887	C₂²×C₅	1	1	yes	characteristic, complemented
742	#887	C₂²×C₅	1	1	yes	characteristic, complemented
743	#886	C₂²×C₅	1	1	yes	characteristic, complemented
744	#886	C₂²×C₅	1	1	yes	characteristic, complemented
745	#885	C₂²×C₅	1	1	yes	characteristic
746	#885	C₂²×C₅	1	1	yes	characteristic
747	#885	C₂²×C₅	1	1	yes	characteristic, complemented
748	#885	C₂²×C₅	1	1	yes	characteristic, complemented
749	#884	C₂²×C₅	1	1	yes	characteristic
750	#884	C₂²×C₅	1	1	yes	characteristic
751	#884	C₂²×C₅	1	1	yes	characteristic, complemented
752	#884	C₂²×C₅	1	1	yes	characteristic, complemented
753	#883	C₂²×C₅	1	1	yes	characteristic
754	#883	C₂²×C₅	1	1	yes	characteristic
755	#883	C₂²×C₅	1	1	yes	characteristic, complemented
756	#883	C₂²×C₅	1	1	yes	characteristic, complemented
757	#882	C₂²×C₅	1	1	yes	characteristic
758	#882	C₂²×C₅	1	1	yes	characteristic
759	#67⋊C₄	C₂²×C₅	1	1	yes	characteristic
760	#67⋊C₄	C₂²×C₅	1	1	yes	characteristic
761	#67⋊C₄	C₂²×C₅	1	1	yes	characteristic
762	#67⋊C₄	C₂²×C₅	1	1	yes	characteristic
763	#67⋊C₄	C₂²×C₅	1	1	yes	characteristic
764	#67⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
765	#67⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
766	#67⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
767	D₃×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
768	D₃×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
769	D₃×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
770	D₃×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
771	#879	C₂²×C₅	1	1	yes	characteristic, complemented
772	#879	C₂²×C₅	1	1	yes	characteristic, complemented
773	#879	C₂²×C₅	1	1	yes	characteristic, complemented
774	#879	C₂²×C₅	1	1	yes	characteristic, complemented
775	#878	C₂²×C₅	1	1	yes	characteristic, complemented
776	#878	C₂²×C₅	1	1	yes	characteristic, complemented
777	#878	C₂²×C₅	1	1	yes	characteristic, complemented
778	#878	C₂²×C₅	1	1	yes	characteristic, complemented
779	#877	C₂²×C₅	1	1	yes	characteristic, complemented
780	#877	C₂²×C₅	1	1	yes	characteristic, complemented
781	#877	C₂²×C₅	1	1	yes	characteristic, complemented
782	#877	C₂²×C₅	1	1	yes	characteristic, complemented
783	C₄×D₁₂	C₂²×C₅	1	1	yes	characteristic
784	C₄×D₁₂	C₂²×C₅	1	1	yes	characteristic, complemented
785	C₄×D₁₂	C₂²×C₅	1	1	yes	characteristic, complemented
786	C₄×D₁₂	C₂²×C₅	1	1	yes	characteristic, complemented
787	#872	C₂²×C₅	1	1	yes	characteristic
788	#872	C₂²×C₅	1	1	yes	characteristic
789	#872	C₂²×C₅	1	1	yes	characteristic
790	#872	C₂²×C₅	1	1	yes	characteristic
791	#872	C₂²×C₅	1	1	yes	characteristic
792	#872	C₂²×C₅	1	1	yes	characteristic, complemented
793	#872	C₂²×C₅	1	1	yes	characteristic, complemented
794	#872	C₂²×C₅	1	1	yes	characteristic, complemented
795	#872	C₂²×C₅	1	1	yes	characteristic, complemented
796	#872	C₂²×C₅	1	1	yes	characteristic, complemented
797	#872	C₂²×C₅	1	1	yes	characteristic, complemented
798	#872	C₂²×C₅	1	1	yes	characteristic, complemented
799	C₄²×D₃	C₂²×C₅	1	1	yes	characteristic
800	C₄²×D₃	C₂²×C₅	1	1	yes	characteristic, complemented
801	C₄²×D₃	C₂²×C₅	1	1	yes	characteristic, complemented
802	C₄²×D₃	C₂²×C₅	1	1	yes	characteristic, complemented
803	C₄×Dic₆	C₂²×C₅	1	1	yes	characteristic, complemented
804	C₄×Dic₆	C₂²×C₅	1	1	yes	characteristic, complemented
805	C₄×Dic₆	C₂²×C₅	1	1	yes	characteristic, complemented
806	C₄×Dic₆	C₂²×C₅	1	1	yes	characteristic, complemented
807	C₂⁴×C₅	—	3	1	no	—
808	C₂⁴×C₅	—	3	1	no	—
809	C₅×#41	—	6	4	no	—
810	C₅×#41	—	6	4	no	—
811	C₅×#41	—	6	4	no	—
812	C₂×C₅×Q₈	—	3	1	no	—
813	C₂×C₅×Q₈	—	3	1	no	—
814	C₂×C₅×Q₈	—	3	1	no	—
815	C₂×C₅×Q₈	—	3	1	no	—
816	C₂×C₅×Q₈	C₂²×D₃	1	1	yes	characteristic
817	C₂×C₅×D₄	—	3	1	no	—
818	C₂×C₅×D₄	—	3	1	no	—
819	C₂×C₅×D₄	—	3	1	no	—
820	C₂×C₅×D₄	—	3	1	no	—
821	C₂×C₅×D₄	—	3	1	no	—
822	C₂×C₅×D₄	—	3	1	no	—
823	C₂×C₅×D₄	—	3	1	no	—
824	C₂×C₅×D₄	—	3	1	no	—
825	C₂×C₅×D₄	—	3	1	no	—
826	C₂×C₅×D₄	—	3	1	no	—
827	C₂×C₅×D₄	—	3	1	no	—
828	C₂×C₅×D₄	—	3	1	no	—
829	C₂×C₅×D₄	—	6	4	no	—
830	C₂×C₅×D₄	C₂²×D₃	1	1	yes	characteristic
831	C₂×C₅×D₄	C₂²×D₃	1	1	yes	characteristic
832	C₂×C₅×D₄	C₂²×D₃	1	1	yes	characteristic
833	C₂²×C₄×C₅	—	3	1	no	—
834	C₂²×C₄×C₅	—	3	1	no	—
835	C₂²×C₄×C₅	—	3	1	no	—
836	C₂²×C₄×C₅	—	3	1	no	—
837	C₂²×C₄×C₅	—	3	1	no	—
838	C₂²×C₄×C₅	—	3	1	no	—
839	C₂²×C₄×C₅	—	3	1	no	—
840	C₂²×C₄×C₅	—	3	1	no	—
841	C₂²×C₄×C₅	—	3	1	no	—
842	C₂²×C₄×C₅	—	3	1	no	—
843	C₂²×C₄×C₅	—	3	1	no	—
844	C₂²×C₄×C₅	—	3	1	no	—
845	C₂²×C₄×C₅	—	3	1	no	—
846	C₂²×C₄×C₅	—	3	1	no	—
847	C₂²×C₄×C₅	—	3	1	no	—
848	C₂²×C₄×C₅	—	3	1	no	—
849	C₂²×C₄×C₅	—	3	1	no	—
850	C₂²×C₄×C₅	—	3	1	no	—
851	C₂²×C₄×C₅	—	3	1	no	—
852	C₂²×C₄×C₅	—	3	1	no	—
853	C₂²×C₄×C₅	—	3	1	no	—
854	C₂²×C₄×C₅	—	3	1	no	—
855	C₂²×C₄×C₅	—	6	4	no	—
856	C₂²×C₄×C₅	—	6	4	no	—
857	C₂²×C₄×C₅	C₂²×D₃	1	1	yes	characteristic
858	C₂²×C₄×C₅	C₂²×D₃	1	1	yes	characteristic
859	C₂²×C₄×C₅	C₂²×D₃	1	1	yes	characteristic
860	C₂²×C₄×C₅	C₂²×D₃	1	1	yes	characteristic
861	C₂²×C₄×C₅	C₂²×D₃	1	1	yes	characteristic
862	C₅×C₄⋊C₄	—	3	1	no	—
863	C₅×C₄⋊C₄	—	3	1	no	—
864	C₅×C₄⋊C₄	—	3	1	no	—
865	C₅×C₄⋊C₄	—	3	1	no	—
866	C₅×C₄⋊C₄	—	3	1	no	—
867	C₅×C₄⋊C₄	—	3	1	no	—
868	C₅×C₄⋊C₄	—	3	1	no	—
869	C₅×C₄⋊C₄	—	3	1	no	—
870	C₅×C₄⋊C₄	—	3	1	no	—
871	C₅×C₄⋊C₄	—	3	1	no	—
872	C₅×C₄⋊C₄	—	3	1	no	—
873	C₅×C₄⋊C₄	—	3	1	no	—
874	C₅×C₄⋊C₄	—	3	1	no	—
875	C₅×C₄⋊C₄	—	3	1	no	—
876	C₅×C₄⋊C₄	—	3	1	no	—
877	C₅×C₄⋊C₄	—	3	1	no	—
878	C₅×C₄⋊C₄	—	3	1	no	—
879	C₅×C₄⋊C₄	—	3	1	no	—
880	C₅×C₄⋊C₄	—	3	1	no	—
881	C₅×C₄⋊C₄	—	3	1	no	—
882	C₅×C₄⋊C₄	—	3	1	no	—
883	C₅×C₄⋊C₄	—	3	1	no	—
884	C₅×C₄⋊C₄	—	3	1	no	—
885	C₅×C₄⋊C₄	—	3	1	no	—
886	C₅×C₄⋊C₄	—	3	1	no	—
887	C₅×C₄⋊C₄	—	3	1	no	—
888	C₅×C₄⋊C₄	—	3	1	no	—
889	C₅×C₄⋊C₄	—	3	1	no	—
890	C₅×C₄⋊C₄	—	3	1	no	—
891	C₅×C₄⋊C₄	—	3	1	no	—
892	C₅×C₄⋊C₄	—	3	1	no	—
893	C₅×C₄⋊C₄	—	3	1	no	—
894	C₅×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
895	C₅×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
896	C₅×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
897	C₅×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
898	C₅×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
899	C₅×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
900	C₅×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
901	C₅×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
902	C₅×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
903	C₅×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
904	C₅×C₂²⋊C₄	—	3	1	no	—
905	C₅×C₂²⋊C₄	—	3	1	no	—
906	C₅×C₂²⋊C₄	—	3	1	no	—
907	C₅×C₂²⋊C₄	—	3	1	no	—
908	C₅×C₂²⋊C₄	—	3	1	no	—
909	C₅×C₂²⋊C₄	—	3	1	no	—
910	C₅×C₂²⋊C₄	—	3	1	no	—
911	C₅×C₂²⋊C₄	—	3	1	no	—
912	C₅×C₂²⋊C₄	—	3	1	no	—
913	C₅×C₂²⋊C₄	—	3	1	no	—
914	C₅×C₂²⋊C₄	—	3	1	no	—
915	C₅×C₂²⋊C₄	—	3	1	no	—
916	C₅×C₂²⋊C₄	—	3	1	no	—
917	C₅×C₂²⋊C₄	—	3	1	no	—
918	C₅×C₂²⋊C₄	—	3	1	no	—
919	C₅×C₂²⋊C₄	—	3	1	no	—
920	C₅×C₂²⋊C₄	—	3	1	no	—
921	C₅×C₂²⋊C₄	—	3	1	no	—
922	C₅×C₂²⋊C₄	—	3	1	no	—
923	C₅×C₂²⋊C₄	—	3	1	no	—
924	C₅×C₂²⋊C₄	—	3	1	no	—
925	C₅×C₂²⋊C₄	—	3	1	no	—
926	C₅×C₂²⋊C₄	—	3	1	no	—
927	C₅×C₂²⋊C₄	—	3	1	no	—
928	C₅×C₂²⋊C₄	—	3	1	no	—
929	C₅×C₂²⋊C₄	—	3	1	no	—
930	C₅×C₂²⋊C₄	—	3	1	no	—
931	C₅×C₂²⋊C₄	—	3	1	no	—
932	C₅×C₂²⋊C₄	—	3	1	no	—
933	C₅×C₂²⋊C₄	—	3	1	no	—
934	C₅×C₂²⋊C₄	—	3	1	no	—
935	C₅×C₂²⋊C₄	—	3	1	no	—
936	C₅×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
937	C₅×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
938	C₅×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
939	C₅×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
940	C₅×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
941	C₅×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
942	C₅×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
943	C₅×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
944	C₅×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
945	C₅×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
946	C₄²×C₅	—	3	1	no	—
947	C₄²×C₅	—	3	1	no	—
948	C₄²×C₅	—	3	1	no	—
949	C₄²×C₅	—	3	1	no	—
950	C₄²×C₅	—	3	1	no	—
951	C₄²×C₅	—	3	1	no	—
952	C₄²×C₅	—	3	1	no	—
953	C₄²×C₅	—	3	1	no	—
954	C₄²×C₅	—	3	1	no	—
955	C₄²×C₅	—	3	1	no	—
956	C₄²×C₅	—	3	1	no	—
957	C₄²×C₅	—	3	1	no	—
958	C₄²×C₅	—	3	1	no	—
959	C₄²×C₅	—	3	1	no	—
960	C₄²×C₅	—	3	1	no	—
961	C₄²×C₅	—	3	1	no	—
962	C₄²×C₅	C₂²×D₃	1	1	yes	characteristic
963	C₄²×C₅	C₂²×D₃	1	1	yes	characteristic
964	C₄²×C₅	C₂²×D₃	1	1	yes	characteristic
965	C₄²×C₅	C₂²×D₃	1	1	yes	characteristic
966	C₄²×C₅	C₂²×D₃	1	1	yes	characteristic
967	C₄²×C₅	C₂²×D₃	1	1	yes	characteristic
968	#556	—	3	1	no	—
969	#555	—	3	1	no	—
970	#554	—	3	1	no	—
971	#553	—	3	1	no	—
972	#553	—	3	1	no	—
973	#552	—	3	1	no	—
974	#552	—	3	1	no	—
975	#552	—	3	1	no	—
976	#552	—	3	1	no	—
977	#551	—	3	1	no	—
978	#551	—	3	1	no	—
979	#551	—	3	1	no	—
980	#551	—	3	1	no	—
981	#547	—	3	1	no	—
982	#546	—	3	1	no	—
983	#546	—	3	1	no	—
984	#533	—	3	1	no	—
985	#529	—	3	1	no	—
986	#529	—	3	1	no	—
987	#529	—	3	1	no	—
988	#529	—	3	1	no	—
989	#529	—	3	1	no	—
990	#529	C₅×D₃	1	1	yes	characteristic, complemented
991	#525	—	3	1	no	—
992	#525	—	3	1	no	—
993	C₄×#41	—	3	1	no	—
994	C₄×#41	—	3	1	no	—
995	C₄×#41	—	3	1	no	—
996	C₂×C₄×D₄	—	3	1	no	—
997	C₂×#117	—	3	1	no	—
998	C₂×#117	—	3	1	no	—
999	C₂²×C₃×C₅	—	2	1	no	—
1000	C₂²×C₃×C₅	—	2	1	no	—
1001	C₂²×C₃×C₅	—	2	1	no	—
1002	C₂²×C₃×C₅	—	2	1	no	—
1003	C₂²×C₃×C₅	—	2	1	no	—
1004	C₂²×C₃×C₅	—	2	1	no	—
1005	C₂²×C₃×C₅	—	2	1	no	—
1006	C₂²×C₃×C₅	—	2	1	no	—
1007	C₂²×C₃×C₅	C₂×#41	1	2	yes	—
1008	C₂²×C₃×C₅	C₂⁵	1	1	yes	characteristic
1009	C₂×C₅×D₃	—	2	1	no	—
1010	C₂×C₅×D₃	—	2	1	no	—
1011	C₂×C₅×D₃	—	2	1	no	—
1012	C₂×C₅×D₃	—	2	1	no	—
1013	C₂×C₅×D₃	—	2	1	no	—
1014	C₂×C₅×D₃	—	2	1	no	—
1015	C₂×C₅×D₃	—	2	1	no	—
1016	C₂×C₅×D₃	—	2	1	no	—
1017	C₂×C₅×D₃	—	2	1	no	—
1018	C₂×C₅×D₃	—	2	1	no	—
1019	C₂×C₅×D₃	—	4	4	no	—
1020	C₂×C₅×D₃	—	4	4	no	—
1021	C₂×C₅×D₃	C₂×#41	1	2	yes	—
1022	C₂×C₅×D₃	C₂×#41	1	2	yes	—
1023	C₃×C₄×C₅	—	2	1	no	—
1024	C₃×C₄×C₅	—	2	1	no	—
1025	C₃×C₄×C₅	—	2	1	no	—
1026	C₃×C₄×C₅	—	2	1	no	—
1027	C₃×C₄×C₅	—	2	1	no	—
1028	C₃×C₄×C₅	—	2	1	no	—
1029	C₃×C₄×C₅	—	2	1	no	—
1030	C₃×C₄×C₅	—	2	1	no	—
1031	C₃×C₄×C₅	—	2	1	no	—
1032	C₃×C₄×C₅	—	2	1	no	—
1033	C₃×C₄×C₅	—	2	1	no	—
1034	C₃×C₄×C₅	C₂×#41	1	2	yes	—
1035	C₅×Dic₃	—	2	1	no	—
1036	C₅×Dic₃	—	2	1	no	—
1037	C₅×Dic₃	—	2	1	no	—
1038	C₅×Dic₃	—	2	1	no	—
1039	C₅×Dic₃	—	2	1	no	—
1040	C₅×Dic₃	—	2	1	no	—
1041	C₅×Dic₃	—	2	1	no	—
1042	C₅×Dic₃	—	2	1	no	—
1043	C₅×Dic₃	—	2	1	no	—
1044	C₅×Dic₃	—	2	1	no	—
1045	C₅×Dic₃	C₂×#41	1	2	yes	—
1046	C₅×Dic₃	C₂×#41	1	2	yes	—
1047	C₂³×D₃	C₂³×C₅	1	1	yes	characteristic
1048	C₂³×D₃	C₂³×C₅	1	1	yes	characteristic
1049	C₂×C₃×Q₈	C₂³×C₅	1	1	yes	characteristic
1050	C₂×C₃×D₄	C₂³×C₅	1	1	yes	characteristic
1051	C₂×C₃×D₄	C₂³×C₅	1	1	yes	characteristic
1052	C₂×C₃×D₄	C₂³×C₅	1	1	yes	characteristic
1053	C₂²×C₃×C₄	C₂³×C₅	1	1	yes	characteristic
1054	C₂²×C₃×C₄	C₂³×C₅	1	1	yes	characteristic
1055	C₂²×C₃×C₄	C₂³×C₅	1	1	yes	characteristic
1056	C₂²×C₃×C₄	C₂³×C₅	1	1	yes	characteristic
1057	C₂²×C₃×C₄	C₂³×C₅	1	1	yes	characteristic
1058	C₂×#67	C₂³×C₅	1	1	yes	characteristic
1059	C₂×#67	C₂³×C₅	1	1	yes	characteristic
1060	C₂×#67	C₂³×C₅	1	1	yes	characteristic
1061	C₂×#67	C₂³×C₅	1	1	yes	characteristic
1062	C₂×#67	C₂³×C₅	1	1	yes	characteristic
1063	C₂×#67	C₂³×C₅	1	1	yes	characteristic
1064	C₂×#67	C₂³×C₅	1	1	yes	characteristic
1065	C₂×#67	C₂³×C₅	1	1	yes	characteristic
1066	C₂²×Dic₃	C₂³×C₅	1	1	yes	characteristic
1067	C₂²×Dic₃	C₂³×C₅	1	1	yes	characteristic
1068	C₂²×Dic₃	C₂³×C₅	1	1	yes	characteristic
1069	C₂²×Dic₃	C₂³×C₅	1	1	yes	characteristic
1070	C₂²×Dic₃	C₂³×C₅	1	1	yes	characteristic
1071	C₂²×Dic₃	C₂³×C₅	1	1	yes	characteristic
1072	#237	—	2	4	no	—
1073	D₃×D₄	—	2	4	no	—
1074	#235	—	2	4	no	—
1075	#235	—	2	4	no	—
1076	C₂×D₁₂	C₂³×C₅	1	1	yes	characteristic
1077	C₂×D₁₂	C₂³×C₅	1	1	yes	characteristic
1078	C₂×D₁₂	C₂³×C₅	1	1	yes	characteristic
1079	C₂×D₁₂	C₂³×C₅	1	1	yes	characteristic
1080	C₂×C₄×D₃	—	2	4	no	—
1081	C₂×C₄×D₃	—	2	4	no	—
1082	C₂×C₄×D₃	C₂³×C₅	1	1	yes	characteristic
1083	C₂×C₄×D₃	C₂³×C₅	1	1	yes	characteristic
1084	C₂×C₄×D₃	C₂³×C₅	1	1	yes	characteristic
1085	C₂×C₄×D₃	C₂³×C₅	1	1	yes	characteristic
1086	C₂×C₄×D₃	C₂³×C₅	1	1	yes	characteristic
1087	C₂×C₄×D₃	C₂³×C₅	1	1	yes	characteristic
1088	C₂×C₄×D₃	C₂³×C₅	1	1	yes	characteristic
1089	C₂×C₄×D₃	C₂³×C₅	1	1	yes	characteristic
1090	C₂×C₄×D₃	C₂³×C₅	1	1	yes	characteristic
1091	C₂×C₄×D₃	C₂³×C₅	1	1	yes	characteristic
1092	C₂×C₄×D₃	C₂³×C₅	1	1	yes	characteristic
1093	C₂×C₄×D₃	C₂³×C₅	1	1	yes	characteristic
1094	C₂×C₄×D₃	C₂³×C₅	1	1	yes	characteristic
1095	C₂×C₄×D₃	C₂³×C₅	1	1	yes	characteristic
1096	C₂×C₄×D₃	C₂³×C₅	1	1	yes	characteristic
1097	C₂×C₄×D₃	C₂³×C₅	1	1	yes	characteristic
1098	C₂×Dic₆	C₂³×C₅	1	1	yes	characteristic
1099	C₂×Dic₆	C₂³×C₅	1	1	yes	characteristic
1100	C₂×Dic₆	C₂³×C₅	1	1	yes	characteristic
1101	C₂×Dic₆	C₂³×C₅	1	1	yes	characteristic
1102	C₃×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
1103	C₃×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
1104	C₃×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
1105	C₃×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
1106	C₃×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
1107	C₃×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
1108	C₃×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
1109	C₃×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
1110	C₃×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
1111	C₃×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
1112	C₃×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1113	C₃×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1114	C₃×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1115	C₃×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1116	C₃×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1117	C₃×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1118	C₃×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1119	C₃×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1120	C₃×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1121	C₃×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1122	C₃×C₄²	C₂³×C₅	1	1	yes	characteristic
1123	C₃×C₄²	C₂³×C₅	1	1	yes	characteristic
1124	C₃×C₄²	C₂³×C₅	1	1	yes	characteristic
1125	C₃×C₄²	C₂³×C₅	1	1	yes	characteristic
1126	C₃×C₄²	C₂³×C₅	1	1	yes	characteristic
1127	C₃×C₄²	C₂³×C₅	1	1	yes	characteristic
1128	#217	C₂³×C₅	1	1	yes	characteristic
1129	#217	C₂³×C₅	1	1	yes	characteristic
1130	#217	C₂³×C₅	1	1	yes	characteristic
1131	#217	C₂³×C₅	1	1	yes	characteristic
1132	#217	C₂³×C₅	1	1	yes	characteristic
1133	#217	C₂³×C₅	1	1	yes	characteristic
1134	#217	C₂³×C₅	1	1	yes	characteristic
1135	#217	C₂³×C₅	1	1	yes	characteristic
1136	(C₂×D₃)⋊C₄	C₂³×C₅	1	1	yes	characteristic
1137	(C₂×D₃)⋊C₄	C₂³×C₅	1	1	yes	characteristic
1138	(C₂×D₃)⋊C₄	C₂³×C₅	1	1	yes	characteristic
1139	(C₂×D₃)⋊C₄	C₂³×C₅	1	1	yes	characteristic
1140	(C₂×D₃)⋊C₄	C₂³×C₅	1	1	yes	characteristic
1141	(C₂×D₃)⋊C₄	C₂³×C₅	1	1	yes	characteristic
1142	(C₂×D₃)⋊C₄	C₂³×C₅	1	1	yes	characteristic
1143	(C₂×D₃)⋊C₄	C₂³×C₅	1	1	yes	characteristic
1144	(C₂×D₃)⋊C₄	C₂³×C₅	1	1	yes	characteristic
1145	(C₂×D₃)⋊C₄	C₂³×C₅	1	1	yes	characteristic
1146	(C₂×D₃)⋊C₄	C₂³×C₅	1	1	yes	characteristic
1147	(C₂×D₃)⋊C₄	C₂³×C₅	1	1	yes	characteristic
1148	(C₂×D₃)⋊C₄	C₂³×C₅	1	1	yes	characteristic
1149	(C₂×D₃)⋊C₄	C₂³×C₅	1	1	yes	characteristic
1150	(C₂×D₃)⋊C₄	C₂³×C₅	1	1	yes	characteristic
1151	(C₂×D₃)⋊C₄	C₂³×C₅	1	1	yes	characteristic
1152	(C₂×D₃)⋊C₄	C₂³×C₅	1	1	yes	characteristic
1153	(C₂×D₃)⋊C₄	C₂³×C₅	1	1	yes	characteristic
1154	(C₂×D₃)⋊C₄	C₂³×C₅	1	1	yes	characteristic
1155	(C₂×D₃)⋊C₄	C₂³×C₅	1	1	yes	characteristic
1156	(C₂×D₃)⋊C₄	C₂³×C₅	1	1	yes	characteristic
1157	(C₂×D₃)⋊C₄	C₂³×C₅	1	1	yes	characteristic
1158	(C₂×D₃)⋊C₄	C₂³×C₅	1	1	yes	characteristic
1159	(C₂×D₃)⋊C₄	C₂³×C₅	1	1	yes	characteristic
1160	C₄⋊Dic₃	C₂³×C₅	1	1	yes	characteristic
1161	C₄⋊Dic₃	C₂³×C₅	1	1	yes	characteristic
1162	C₄⋊Dic₃	C₂³×C₅	1	1	yes	characteristic
1163	C₄⋊Dic₃	C₂³×C₅	1	1	yes	characteristic
1164	C₄⋊Dic₃	C₂³×C₅	1	1	yes	characteristic
1165	C₄⋊Dic₃	C₂³×C₅	1	1	yes	characteristic
1166	C₄⋊Dic₃	C₂³×C₅	1	1	yes	characteristic
1167	C₄⋊Dic₃	C₂³×C₅	1	1	yes	characteristic
1168	Dic₃⋊C₄	C₂³×C₅	1	1	yes	characteristic
1169	Dic₃⋊C₄	C₂³×C₅	1	1	yes	characteristic
1170	Dic₃⋊C₄	C₂³×C₅	1	1	yes	characteristic
1171	Dic₃⋊C₄	C₂³×C₅	1	1	yes	characteristic
1172	Dic₃⋊C₄	C₂³×C₅	1	1	yes	characteristic
1173	Dic₃⋊C₄	C₂³×C₅	1	1	yes	characteristic
1174	Dic₃⋊C₄	C₂³×C₅	1	1	yes	characteristic
1175	Dic₃⋊C₄	C₂³×C₅	1	1	yes	characteristic
1176	Dic₃⋊C₄	C₂³×C₅	1	1	yes	characteristic
1177	Dic₃⋊C₄	C₂³×C₅	1	1	yes	characteristic
1178	Dic₃⋊C₄	C₂³×C₅	1	1	yes	characteristic
1179	Dic₃⋊C₄	C₂³×C₅	1	1	yes	characteristic
1180	Dic₃⋊C₄	C₂³×C₅	1	1	yes	characteristic
1181	Dic₃⋊C₄	C₂³×C₅	1	1	yes	characteristic
1182	Dic₃⋊C₄	C₂³×C₅	1	1	yes	characteristic
1183	Dic₃⋊C₄	C₂³×C₅	1	1	yes	characteristic
1184	Dic₃⋊C₄	C₂³×C₅	1	1	yes	characteristic
1185	Dic₃⋊C₄	C₂³×C₅	1	1	yes	characteristic
1186	Dic₃⋊C₄	C₂³×C₅	1	1	yes	characteristic
1187	Dic₃⋊C₄	C₂³×C₅	1	1	yes	characteristic
1188	Dic₃⋊C₄	C₂³×C₅	1	1	yes	characteristic
1189	Dic₃⋊C₄	C₂³×C₅	1	1	yes	characteristic
1190	Dic₃⋊C₄	C₂³×C₅	1	1	yes	characteristic
1191	Dic₃⋊C₄	C₂³×C₅	1	1	yes	characteristic
1192	C₄×Dic₃	C₂³×C₅	1	1	yes	characteristic
1193	C₄×Dic₃	C₂³×C₅	1	1	yes	characteristic
1194	C₄×Dic₃	C₂³×C₅	1	1	yes	characteristic
1195	C₄×Dic₃	C₂³×C₅	1	1	yes	characteristic
1196	C₄×Dic₃	C₂³×C₅	1	1	yes	characteristic
1197	C₄×Dic₃	C₂³×C₅	1	1	yes	characteristic
1198	C₄×Dic₃	C₂³×C₅	1	1	yes	characteristic
1199	C₄×Dic₃	C₂³×C₅	1	1	yes	characteristic
1200	C₄×Dic₃	C₂³×C₅	1	1	yes	characteristic
1201	C₄×Dic₃	C₂³×C₅	1	1	yes	characteristic
1202	C₄×Dic₃	C₂³×C₅	1	1	yes	characteristic
1203	C₄×Dic₃	C₂³×C₅	1	1	yes	characteristic
1204	C₄×Dic₃	C₂³×C₅	1	1	yes	characteristic
1205	C₄×Dic₃	C₂³×C₅	1	1	yes	characteristic
1206	C₄×Dic₃	C₂³×C₅	1	1	yes	characteristic
1207	C₄×Dic₃	C₂³×C₅	1	1	yes	characteristic
1208	C₂³×C₅	—	3	1	no	—
1209	C₂³×C₅	—	3	1	no	—
1210	C₂³×C₅	—	3	1	no	—
1211	C₂³×C₅	—	3	1	no	—
1212	C₂³×C₅	—	6	2	no	—
1213	C₂³×C₅	—	6	2	no	—
1214	C₂³×C₅	—	6	2	no	—
1215	C₂³×C₅	—	6	2	no	—
1216	C₂³×C₅	—	12	1	no	—
1217	C₂³×C₅	—	12	1	no	—
1218	C₂³×C₅	C₂³×D₃	1	1	yes	characteristic
1219	C₂³×C₅	C₂³×D₃	1	1	yes	characteristic
1220	C₂³×C₅	C₂³×D₃	1	1	yes	characteristic
1221	C₅×Q₈	—	4	1	no	—
1222	C₅×Q₈	—	6	2	no	—
1223	C₅×Q₈	—	6	2	no	—
1224	C₅×Q₈	—	6	2	no	—
1225	C₅×Q₈	—	12	1	no	—
1226	C₅×D₄	—	2	2	no	—
1227	C₅×D₄	—	2	2	no	—
1228	C₅×D₄	—	3	4	no	—
1229	C₅×D₄	—	4	1	no	—
1230	C₅×D₄	—	6	2	no	—
1231	C₅×D₄	—	6	2	no	—
1232	C₅×D₄	—	6	2	no	—
1233	C₅×D₄	—	6	2	no	—
1234	C₅×D₄	—	6	2	no	—
1235	C₅×D₄	—	6	2	no	—
1236	C₅×D₄	—	6	2	no	—
1237	C₅×D₄	—	6	2	no	—
1238	C₅×D₄	—	12	1	no	—
1239	C₅×D₄	—	12	1	no	—
1240	C₅×D₄	—	12	1	no	—
1241	C₂×C₄×C₅	—	2	2	no	—
1242	C₂×C₄×C₅	—	2	2	no	—
1243	C₂×C₄×C₅	—	2	2	no	—
1244	C₂×C₄×C₅	—	2	2	no	—
1245	C₂×C₄×C₅	—	3	1	no	—
1246	C₂×C₄×C₅	—	3	1	no	—
1247	C₂×C₄×C₅	—	3	4	no	—
1248	C₂×C₄×C₅	—	3	1	no	—
1249	C₂×C₄×C₅	—	3	1	no	—
1250	C₂×C₄×C₅	—	3	1	no	—
1251	C₂×C₄×C₅	—	3	1	no	—
1252	C₂×C₄×C₅	—	3	1	no	—
1253	C₂×C₄×C₅	—	3	1	no	—
1254	C₂×C₄×C₅	—	3	1	no	—
1255	C₂×C₄×C₅	—	3	1	no	—
1256	C₂×C₄×C₅	—	3	1	no	—
1257	C₂×C₄×C₅	—	3	1	no	—
1258	C₂×C₄×C₅	—	4	1	no	—
1259	C₂×C₄×C₅	—	6	2	no	—
1260	C₂×C₄×C₅	—	6	2	no	—
1261	C₂×C₄×C₅	—	6	2	no	—
1262	C₂×C₄×C₅	—	6	2	no	—
1263	C₂×C₄×C₅	—	6	2	no	—
1264	C₂×C₄×C₅	—	6	2	no	—
1265	C₂×C₄×C₅	—	6	2	no	—
1266	C₂×C₄×C₅	—	6	2	no	—
1267	C₂×C₄×C₅	—	6	2	no	—
1268	C₂×C₄×C₅	—	6	2	no	—
1269	C₂×C₄×C₅	—	6	2	no	—
1270	C₂×C₄×C₅	—	6	2	no	—
1271	C₂×C₄×C₅	—	6	2	no	—
1272	C₂×C₄×C₅	—	6	2	no	—
1273	C₂×C₄×C₅	—	6	2	no	—
1274	C₂×C₄×C₅	—	12	1	no	—
1275	C₂×C₄×C₅	—	12	1	no	—
1276	C₂×C₄×C₅	—	12	1	no	—
1277	C₂×C₄×C₅	—	12	1	no	—
1278	C₂×C₄×C₅	—	12	1	no	—
1279	C₂×C₄×C₅	—	12	1	no	—
1280	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
1281	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
1282	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
1283	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
1284	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
1285	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
1286	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
1287	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
1288	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
1289	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
1290	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
1291	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
1292	C₂×#41	—	3	1	no	—
1293	C₂×#41	—	3	1	no	—
1294	C₂×#41	—	3	1	no	—
1295	C₂²×D₄	—	3	1	no	—
1296	C₂³×C₄	—	3	1	no	—
1297	C₂³×C₄	—	3	1	no	—
1298	C₄⋊Q₈	—	3	1	no	—
1299	C₄⋊Q₈	—	3	1	no	—
1300	#126	—	3	1	no	—
1301	#126	—	3	1	no	—
1302	#126	—	3	1	no	—
1303	#126	—	3	1	no	—
1304	#126	—	3	1	no	—
1305	#126	—	3	1	no	—
1306	#126	—	3	1	no	—
1307	#126	—	3	1	no	—
1308	#126	—	3	1	no	—
1309	#126	—	3	1	no	—
1310	#126	C₂×C₅×D₃	1	1	yes	characteristic, complemented
1311	#126	C₂×C₅×D₃	1	1	yes	characteristic, complemented
1312	#125	—	3	1	no	—
1313	#125	—	3	1	no	—
1314	#125	—	3	1	no	—
1315	#125	—	3	1	no	—
1316	#125	—	3	1	no	—
1317	#125	—	3	1	no	—
1318	#125	—	3	1	no	—
1319	#125	C₂×C₅×D₃	1	1	yes	characteristic, complemented
1320	#124	—	3	1	no	—
1321	#124	—	3	1	no	—
1322	#124	—	3	1	no	—
1323	#124	—	3	1	no	—
1324	#124	—	3	1	no	—
1325	#124	C₂×C₅×D₃	1	1	yes	characteristic, complemented
1326	#123	—	3	1	no	—
1327	#123	—	3	1	no	—
1328	#123	—	3	1	no	—
1329	#123	—	3	1	no	—
1330	#123	—	3	1	no	—
1331	#123	—	3	1	no	—
1332	#123	—	3	1	no	—
1333	#123	—	3	1	no	—
1334	#123	—	3	1	no	—
1335	#123	—	3	1	no	—
1336	#123	—	3	1	no	—
1337	#123	—	3	1	no	—
1338	#123	—	3	1	no	—
1339	#123	—	3	1	no	—
1340	#123	C₂×C₅×D₃	1	1	yes	characteristic
1341	#123	C₂×C₅×D₃	1	1	yes	characteristic, complemented
1342	C₂²⋊Q₈	—	3	1	no	—
1343	C₂²⋊Q₈	—	3	1	no	—
1344	C₂²⋊Q₈	—	3	1	no	—
1345	C₂²⋊Q₈	—	3	1	no	—
1346	C₂²⋊Q₈	—	3	1	no	—
1347	C₂²⋊Q₈	—	3	1	no	—
1348	C₂²⋊Q₈	—	3	1	no	—
1349	C₂²⋊Q₈	—	3	1	no	—
1350	C₂²⋊Q₈	—	3	1	no	—
1351	C₂²⋊Q₈	—	3	1	no	—
1352	C₂²⋊Q₈	—	3	1	no	—
1353	C₂²⋊Q₈	—	3	1	no	—
1354	C₂²⋊Q₈	—	3	1	no	—
1355	C₂²⋊Q₈	C₂×C₅×D₃	1	1	yes	characteristic, complemented
1356	#121	—	3	1	no	—
1357	#121	—	3	1	no	—
1358	#121	—	3	1	no	—
1359	#121	—	3	1	no	—
1360	#121	—	3	1	no	—
1361	#121	—	3	1	no	—
1362	#121	—	3	1	no	—
1363	#121	—	3	1	no	—
1364	#121	—	3	1	no	—
1365	#121	C₂×C₅×D₃	1	1	yes	characteristic
1366	#120	—	3	1	no	—
1367	#120	—	3	1	no	—
1368	#120	—	3	1	no	—
1369	#120	—	3	1	no	—
1370	C₄×Q₈	—	3	1	no	—
1371	C₄×Q₈	—	3	1	no	—
1372	C₄×Q₈	—	3	1	no	—
1373	C₄×Q₈	—	3	1	no	—
1374	C₄×Q₈	—	3	1	no	—
1375	C₄×Q₈	—	3	1	no	—
1376	C₄×Q₈	—	3	1	no	—
1377	C₄×Q₈	C₂×C₅×D₃	1	1	yes	characteristic, complemented
1378	C₄×D₄	—	3	1	no	—
1379	C₄×D₄	—	3	1	no	—
1380	C₄×D₄	—	3	1	no	—
1381	C₄×D₄	—	3	1	no	—
1382	C₄×D₄	—	3	1	no	—
1383	C₄×D₄	—	3	1	no	—
1384	C₄×D₄	—	3	1	no	—
1385	C₄×D₄	—	3	1	no	—
1386	C₄×D₄	—	3	1	no	—
1387	C₄×D₄	—	3	1	no	—
1388	C₄×D₄	—	3	1	no	—
1389	C₄×D₄	—	3	1	no	—
1390	C₄×D₄	—	3	1	no	—
1391	C₄×D₄	—	3	1	no	—
1392	C₄×D₄	—	3	1	no	—
1393	C₄×D₄	—	3	1	no	—
1394	C₄×D₄	—	3	1	no	—
1395	C₄×D₄	—	3	1	no	—
1396	C₄×D₄	—	3	1	no	—
1397	C₄×D₄	—	3	1	no	—
1398	C₄×D₄	—	3	1	no	—
1399	C₄×D₄	—	3	1	no	—
1400	C₄×D₄	—	3	1	no	—
1401	C₄×D₄	—	3	1	no	—
1402	C₄×D₄	—	3	1	no	—
1403	C₄×D₄	C₂×C₅×D₃	1	1	yes	characteristic
1404	C₄×D₄	C₂×C₅×D₃	1	1	yes	characteristic, complemented
1405	C₄×D₄	C₂×C₅×D₃	1	1	yes	characteristic, complemented
1406	#117	—	3	1	no	—
1407	#117	—	3	1	no	—
1408	#117	—	3	1	no	—
1409	#117	—	3	1	no	—
1410	#117	—	3	1	no	—
1411	#117	—	3	1	no	—
1412	#117	—	3	1	no	—
1413	#117	—	3	1	no	—
1414	#117	—	3	1	no	—
1415	#117	—	3	1	no	—
1416	#117	—	3	1	no	—
1417	#117	—	3	1	no	—
1418	#117	—	3	1	no	—
1419	#117	—	3	1	no	—
1420	#117	—	3	1	no	—
1421	#117	—	3	1	no	—
1422	#117	—	3	1	no	—
1423	#117	—	3	1	no	—
1424	#117	—	3	1	no	—
1425	#117	—	3	1	no	—
1426	#117	—	3	1	no	—
1427	#117	C₂×C₅×D₃	1	1	yes	characteristic, complemented
1428	#117	C₂×C₅×D₃	1	1	yes	characteristic, complemented
1429	C₂×C₄⋊C₄	—	3	1	no	—
1430	C₂×C₄⋊C₄	—	3	1	no	—
1431	C₂×C₄⋊C₄	—	3	1	no	—
1432	C₂×C₄⋊C₄	—	3	1	no	—
1433	C₂×C₄⋊C₄	—	3	1	no	—
1434	C₂×C₂²⋊C₄	—	3	1	no	—
1435	C₂×C₂²⋊C₄	—	3	1	no	—
1436	C₂×C₂²⋊C₄	—	3	1	no	—
1437	C₂×C₂²⋊C₄	—	3	1	no	—
1438	C₂×C₂²⋊C₄	—	3	1	no	—
1439	C₂×C₂²⋊C₄	—	3	1	no	—
1440	C₂×C₄²	—	3	1	no	—
1441	C₂×C₄²	—	3	1	no	—
1442	C₂×C₄²	—	3	1	no	—
1443	C₂×C₄²	—	3	1	no	—
1444	C₂×C₄²	—	3	1	no	—
1445	C₂×C₄²	—	3	1	no	—
1446	C₂×C₄²	C₂×C₅×D₃	1	1	yes	characteristic, complemented
1447	C₂×C₃×C₅	—	2	2	no	—
1448	C₂×C₃×C₅	—	4	1	no	—
1449	C₂×C₃×C₅	—	4	1	no	—
1450	C₂×C₃×C₅	C₂²×#41	1	1	yes	characteristic
1451	C₂×C₃×C₅	C₂²×#41	1	1	yes	characteristic
1452	C₂×C₃×C₅	#585	1	1	yes	characteristic
1453	C₅×D₃	—	2	2	no	—
1454	C₅×D₃	—	2	2	no	—
1455	C₅×D₃	—	4	1	no	—
1456	C₅×D₃	—	4	1	no	—
1457	C₂³×C₃	C₂⁴×C₅	1	1	yes	characteristic
1458	C₂³×C₃	C₂⁴×C₅	1	1	yes	characteristic
1459	C₂³×C₃	C₂⁴×C₅	1	1	yes	characteristic
1460	C₂²×D₃	—	2	2	no	—
1461	C₂²×D₃	—	2	2	no	—
1462	C₂²×D₃	—	2	2	no	—
1463	C₂²×D₃	—	2	2	no	—
1464	C₂²×D₃	—	4	1	no	—
1465	C₂²×D₃	—	4	1	no	—
1466	C₂²×D₃	C₂⁴×C₅	1	1	yes	characteristic
1467	C₂²×D₃	C₂⁴×C₅	1	1	yes	characteristic
1468	C₂²×D₃	C₂⁴×C₅	1	1	yes	characteristic
1469	C₂²×D₃	C₂⁴×C₅	1	1	yes	characteristic
1470	C₃×Q₈	—	4	1	no	—
1471	C₃×D₄	—	2	2	no	—
1472	C₃×D₄	—	2	2	no	—
1473	C₃×D₄	—	4	1	no	—
1474	C₂×C₃×C₄	—	2	2	no	—
1475	C₂×C₃×C₄	—	2	2	no	—
1476	C₂×C₃×C₄	—	2	2	no	—
1477	C₂×C₃×C₄	—	2	2	no	—
1478	C₂×C₃×C₄	—	4	1	no	—
1479	C₂×C₃×C₄	C₂⁴×C₅	1	1	yes	characteristic
1480	C₂×C₃×C₄	C₂⁴×C₅	1	1	yes	characteristic
1481	C₂×C₃×C₄	C₂⁴×C₅	1	1	yes	characteristic
1482	C₂×C₃×C₄	C₂⁴×C₅	1	1	yes	characteristic
1483	C₂×C₃×C₄	C₂⁴×C₅	1	1	yes	characteristic
1484	C₂×C₃×C₄	C₂⁴×C₅	1	1	yes	characteristic
1485	C₂×C₃×C₄	C₂⁴×C₅	1	1	yes	characteristic
1486	C₂×C₃×C₄	C₂⁴×C₅	1	1	yes	characteristic
1487	C₂×C₃×C₄	C₂⁴×C₅	1	1	yes	characteristic
1488	C₂×C₃×C₄	C₂⁴×C₅	1	1	yes	characteristic
1489	C₂×C₃×C₄	C₂⁴×C₅	1	1	yes	characteristic
1490	C₂×C₃×C₄	C₂⁴×C₅	1	1	yes	characteristic
1491	#67	—	2	2	no	—
1492	#67	—	2	2	no	—
1493	#67	—	2	2	no	—
1494	#67	—	2	2	no	—
1495	#67	—	2	2	no	—
1496	#67	—	4	1	no	—
1497	#67	—	4	1	no	—
1498	#67	C₅×#41	1	4	yes	complemented
1499	C₂×Dic₃	—	2	2	no	—
1500	C₂×Dic₃	—	2	2	no	—
1501	C₂×Dic₃	—	2	2	no	—
1502	C₂×Dic₃	—	2	2	no	—
1503	C₂×Dic₃	—	4	1	no	—
1504	C₂×Dic₃	—	4	1	no	—
1505	C₂×Dic₃	C₂⁴×C₅	1	1	yes	characteristic
1506	C₂×Dic₃	C₂⁴×C₅	1	1	yes	characteristic
1507	C₂×Dic₃	C₂⁴×C₅	1	1	yes	characteristic
1508	C₂×Dic₃	C₂⁴×C₅	1	1	yes	characteristic
1509	C₂×Dic₃	C₂⁴×C₅	1	1	yes	characteristic
1510	C₂×Dic₃	C₂⁴×C₅	1	1	yes	characteristic
1511	C₂×Dic₃	C₂⁴×C₅	1	1	yes	characteristic
1512	C₂×Dic₃	C₂⁴×C₅	1	1	yes	characteristic
1513	C₂×Dic₃	C₂⁴×C₅	1	1	yes	characteristic
1514	C₂×Dic₃	C₂⁴×C₅	1	1	yes	characteristic
1515	C₂×Dic₃	C₂⁴×C₅	1	1	yes	characteristic
1516	C₂×Dic₃	C₂⁴×C₅	1	1	yes	characteristic
1517	D₁₂	—	2	2	no	—
1518	D₁₂	—	2	2	no	—
1519	D₁₂	—	2	2	no	—
1520	D₁₂	—	4	1	no	—
1521	C₄×D₃	—	2	2	no	—
1522	C₄×D₃	—	2	2	no	—
1523	C₄×D₃	—	2	2	no	—
1524	C₄×D₃	—	2	2	no	—
1525	C₄×D₃	—	2	2	no	—
1526	C₄×D₃	—	2	2	no	—
1527	C₄×D₃	—	2	2	no	—
1528	C₄×D₃	—	2	2	no	—
1529	C₄×D₃	—	2	2	no	—
1530	C₄×D₃	—	2	2	no	—
1531	C₄×D₃	—	2	2	no	—
1532	C₄×D₃	—	4	1	no	—
1533	C₄×D₃	—	4	1	no	—
1534	C₄×D₃	—	4	1	no	—
1535	C₄×D₃	—	4	1	no	—
1536	C₄×D₃	C₅×#41	1	4	yes	complemented
1537	Dic₆	—	2	2	no	—
1538	Dic₆	—	2	2	no	—
1539	Dic₆	—	2	2	no	—
1540	Dic₆	—	4	1	no	—
1541	C₂²×C₅	—	2	1	no	—
1542	C₂²×C₅	—	2	1	no	—
1543	C₂²×C₅	—	2	1	no	—
1544	C₂²×C₅	—	2	1	no	—
1545	C₂²×C₅	—	2	1	no	—
1546	C₂²×C₅	—	2	1	no	—
1547	C₂²×C₅	—	2	1	no	—
1548	C₂²×C₅	—	2	1	no	—
1549	C₂²×C₅	—	3	2	no	—
1550	C₂²×C₅	—	3	2	no	—
1551	C₂²×C₅	—	6	1	no	—
1552	C₂²×C₅	—	6	1	no	—
1553	C₂²×C₅	—	6	1	no	—
1554	C₂²×C₅	—	6	1	no	—
1555	C₂²×C₅	—	6	1	no	—
1556	C₂²×C₅	—	6	1	no	—
1557	C₂²×C₅	—	6	1	no	—
1558	C₂²×C₅	—	6	1	no	—
1559	C₂²×C₅	—	6	1	no	—
1560	C₂²×C₅	—	6	1	no	—
1561	C₂²×C₅	—	12	4	no	—
1562	C₂²×C₅	—	12	4	no	—
1563	C₂²×C₅	D₃×#41	1	2	yes	—
1564	C₂²×C₅	C₂⁴×D₃	1	1	yes	characteristic
1565	C₄×C₅	—	2	1	no	—
1566	C₄×C₅	—	2	1	no	—
1567	C₄×C₅	—	2	1	no	—
1568	C₄×C₅	—	2	1	no	—
1569	C₄×C₅	—	2	1	no	—
1570	C₄×C₅	—	2	1	no	—
1571	C₄×C₅	—	2	1	no	—
1572	C₄×C₅	—	2	1	no	—
1573	C₄×C₅	—	2	1	no	—
1574	C₄×C₅	—	2	1	no	—
1575	C₄×C₅	—	2	1	no	—
1576	C₄×C₅	—	3	2	no	—
1577	C₄×C₅	—	3	2	no	—
1578	C₄×C₅	—	6	1	no	—
1579	C₄×C₅	—	6	1	no	—
1580	C₄×C₅	—	6	1	no	—
1581	C₄×C₅	—	6	1	no	—
1582	C₄×C₅	—	6	1	no	—
1583	C₄×C₅	—	6	1	no	—
1584	C₄×C₅	—	6	1	no	—
1585	C₄×C₅	—	6	1	no	—
1586	C₄×C₅	—	6	1	no	—
1587	C₄×C₅	—	6	1	no	—
1588	C₄×C₅	D₃×#41	1	2	yes	—
1589	C₂⁴	—	3	1	no	—
1590	C₂⁴	—	3	1	no	—
1591	#41	—	6	4	no	—
1592	#41	—	6	4	no	—
1593	#41	—	6	4	no	—
1594	C₂×Q₈	—	3	1	no	—
1595	C₂×Q₈	—	3	1	no	—
1596	C₂×Q₈	—	3	1	no	—
1597	C₂×Q₈	—	3	1	no	—
1598	C₂×Q₈	C₂²×C₅×D₃	1	1	yes	characteristic
1599	C₂×D₄	—	3	1	no	—
1600	C₂×D₄	—	3	1	no	—
1601	C₂×D₄	—	3	1	no	—
1602	C₂×D₄	—	3	1	no	—
1603	C₂×D₄	—	3	1	no	—
1604	C₂×D₄	—	3	1	no	—
1605	C₂×D₄	—	3	1	no	—
1606	C₂×D₄	—	3	1	no	—
1607	C₂×D₄	—	3	1	no	—
1608	C₂×D₄	—	3	1	no	—
1609	C₂×D₄	—	3	1	no	—
1610	C₂×D₄	—	3	1	no	—
1611	C₂×D₄	—	6	4	no	—
1612	C₂×D₄	C₂²×C₅×D₃	1	1	yes	characteristic
1613	C₂×D₄	C₂²×C₅×D₃	1	1	yes	characteristic
1614	C₂×D₄	C₂²×C₅×D₃	1	1	yes	characteristic
1615	C₂²×C₄	—	3	1	no	—
1616	C₂²×C₄	—	3	1	no	—
1617	C₂²×C₄	—	3	1	no	—
1618	C₂²×C₄	—	3	1	no	—
1619	C₂²×C₄	—	3	1	no	—
1620	C₂²×C₄	—	3	1	no	—
1621	C₂²×C₄	—	3	1	no	—
1622	C₂²×C₄	—	3	1	no	—
1623	C₂²×C₄	—	3	1	no	—
1624	C₂²×C₄	—	3	1	no	—
1625	C₂²×C₄	—	3	1	no	—
1626	C₂²×C₄	—	3	1	no	—
1627	C₂²×C₄	—	3	1	no	—
1628	C₂²×C₄	—	3	1	no	—
1629	C₂²×C₄	—	3	1	no	—
1630	C₂²×C₄	—	3	1	no	—
1631	C₂²×C₄	—	3	1	no	—
1632	C₂²×C₄	—	3	1	no	—
1633	C₂²×C₄	—	3	1	no	—
1634	C₂²×C₄	—	3	1	no	—
1635	C₂²×C₄	—	3	1	no	—
1636	C₂²×C₄	—	3	1	no	—
1637	C₂²×C₄	—	6	4	no	—
1638	C₂²×C₄	—	6	4	no	—
1639	C₂²×C₄	C₂²×C₅×D₃	1	1	yes	characteristic
1640	C₂²×C₄	C₂²×C₅×D₃	1	1	yes	characteristic
1641	C₂²×C₄	C₂²×C₅×D₃	1	1	yes	characteristic
1642	C₂²×C₄	C₂²×C₅×D₃	1	1	yes	characteristic
1643	C₂²×C₄	C₂²×C₅×D₃	1	1	yes	characteristic
1644	C₄⋊C₄	—	3	1	no	—
1645	C₄⋊C₄	—	3	1	no	—
1646	C₄⋊C₄	—	3	1	no	—
1647	C₄⋊C₄	—	3	1	no	—
1648	C₄⋊C₄	—	3	1	no	—
1649	C₄⋊C₄	—	3	1	no	—
1650	C₄⋊C₄	—	3	1	no	—
1651	C₄⋊C₄	—	3	1	no	—
1652	C₄⋊C₄	—	3	1	no	—
1653	C₄⋊C₄	—	3	1	no	—
1654	C₄⋊C₄	—	3	1	no	—
1655	C₄⋊C₄	—	3	1	no	—
1656	C₄⋊C₄	—	3	1	no	—
1657	C₄⋊C₄	—	3	1	no	—
1658	C₄⋊C₄	—	3	1	no	—
1659	C₄⋊C₄	—	3	1	no	—
1660	C₄⋊C₄	—	3	1	no	—
1661	C₄⋊C₄	—	3	1	no	—
1662	C₄⋊C₄	—	3	1	no	—
1663	C₄⋊C₄	—	3	1	no	—
1664	C₄⋊C₄	—	3	1	no	—
1665	C₄⋊C₄	—	3	1	no	—
1666	C₄⋊C₄	—	3	1	no	—
1667	C₄⋊C₄	—	3	1	no	—
1668	C₄⋊C₄	—	3	1	no	—
1669	C₄⋊C₄	—	3	1	no	—
1670	C₄⋊C₄	—	3	1	no	—
1671	C₄⋊C₄	—	3	1	no	—
1672	C₄⋊C₄	—	3	1	no	—
1673	C₄⋊C₄	—	3	1	no	—
1674	C₄⋊C₄	—	3	1	no	—
1675	C₄⋊C₄	—	3	1	no	—
1676	C₄⋊C₄	C₂²×C₅×D₃	1	1	yes	characteristic
1677	C₄⋊C₄	C₂²×C₅×D₃	1	1	yes	characteristic
1678	C₄⋊C₄	C₂²×C₅×D₃	1	1	yes	characteristic
1679	C₄⋊C₄	C₂²×C₅×D₃	1	1	yes	characteristic
1680	C₄⋊C₄	C₂²×C₅×D₃	1	1	yes	characteristic
1681	C₄⋊C₄	C₂²×C₅×D₃	1	1	yes	characteristic
1682	C₄⋊C₄	C₂²×C₅×D₃	1	1	yes	characteristic
1683	C₄⋊C₄	C₂²×C₅×D₃	1	1	yes	characteristic
1684	C₄⋊C₄	C₂²×C₅×D₃	1	1	yes	characteristic
1685	C₄⋊C₄	C₂²×C₅×D₃	1	1	yes	characteristic
1686	C₂²⋊C₄	—	3	1	no	—
1687	C₂²⋊C₄	—	3	1	no	—
1688	C₂²⋊C₄	—	3	1	no	—
1689	C₂²⋊C₄	—	3	1	no	—
1690	C₂²⋊C₄	—	3	1	no	—
1691	C₂²⋊C₄	—	3	1	no	—
1692	C₂²⋊C₄	—	3	1	no	—
1693	C₂²⋊C₄	—	3	1	no	—
1694	C₂²⋊C₄	—	3	1	no	—
1695	C₂²⋊C₄	—	3	1	no	—
1696	C₂²⋊C₄	—	3	1	no	—
1697	C₂²⋊C₄	—	3	1	no	—
1698	C₂²⋊C₄	—	3	1	no	—
1699	C₂²⋊C₄	—	3	1	no	—
1700	C₂²⋊C₄	—	3	1	no	—
1701	C₂²⋊C₄	—	3	1	no	—
1702	C₂²⋊C₄	—	3	1	no	—
1703	C₂²⋊C₄	—	3	1	no	—
1704	C₂²⋊C₄	—	3	1	no	—
1705	C₂²⋊C₄	—	3	1	no	—
1706	C₂²⋊C₄	—	3	1	no	—
1707	C₂²⋊C₄	—	3	1	no	—
1708	C₂²⋊C₄	—	3	1	no	—
1709	C₂²⋊C₄	—	3	1	no	—
1710	C₂²⋊C₄	—	3	1	no	—
1711	C₂²⋊C₄	—	3	1	no	—
1712	C₂²⋊C₄	—	3	1	no	—
1713	C₂²⋊C₄	—	3	1	no	—
1714	C₂²⋊C₄	—	3	1	no	—
1715	C₂²⋊C₄	—	3	1	no	—
1716	C₂²⋊C₄	—	3	1	no	—
1717	C₂²⋊C₄	—	3	1	no	—
1718	C₂²⋊C₄	C₂²×C₅×D₃	1	1	yes	characteristic
1719	C₂²⋊C₄	C₂²×C₅×D₃	1	1	yes	characteristic
1720	C₂²⋊C₄	C₂²×C₅×D₃	1	1	yes	characteristic
1721	C₂²⋊C₄	C₂²×C₅×D₃	1	1	yes	characteristic
1722	C₂²⋊C₄	C₂²×C₅×D₃	1	1	yes	characteristic
1723	C₂²⋊C₄	C₂²×C₅×D₃	1	1	yes	characteristic
1724	C₂²⋊C₄	C₂²×C₅×D₃	1	1	yes	characteristic
1725	C₂²⋊C₄	C₂²×C₅×D₃	1	1	yes	characteristic
1726	C₂²⋊C₄	C₂²×C₅×D₃	1	1	yes	characteristic
1727	C₂²⋊C₄	C₂²×C₅×D₃	1	1	yes	characteristic
1728	C₄²	—	3	1	no	—
1729	C₄²	—	3	1	no	—
1730	C₄²	—	3	1	no	—
1731	C₄²	—	3	1	no	—
1732	C₄²	—	3	1	no	—
1733	C₄²	—	3	1	no	—
1734	C₄²	—	3	1	no	—
1735	C₄²	—	3	1	no	—
1736	C₄²	—	3	1	no	—
1737	C₄²	—	3	1	no	—
1738	C₄²	—	3	1	no	—
1739	C₄²	—	3	1	no	—
1740	C₄²	—	3	1	no	—
1741	C₄²	—	3	1	no	—
1742	C₄²	—	3	1	no	—
1743	C₄²	—	3	1	no	—
1744	C₄²	C₂²×C₅×D₃	1	1	yes	characteristic
1745	C₄²	C₂²×C₅×D₃	1	1	yes	characteristic
1746	C₄²	C₂²×C₅×D₃	1	1	yes	characteristic
1747	C₄²	C₂²×C₅×D₃	1	1	yes	characteristic
1748	C₄²	C₂²×C₅×D₃	1	1	yes	characteristic
1749	C₄²	C₂²×C₅×D₃	1	1	yes	characteristic
1750	C₃×C₅	#3475	1	1	yes	characteristic, complemented, Hall
1751	C₂²×C₃	—	2	1	no	—
1752	C₂²×C₃	—	2	1	no	—
1753	C₂²×C₃	—	2	1	no	—
1754	C₂²×C₃	—	2	1	no	—
1755	C₂²×C₃	—	2	1	no	—
1756	C₂²×C₃	—	2	1	no	—
1757	C₂²×C₃	—	2	1	no	—
1758	C₂²×C₃	—	2	1	no	—
1759	C₂²×C₃	C₂×C₅×#41	1	2	yes	—
1760	C₂²×C₃	C₂⁵×C₅	1	1	yes	characteristic
1761	C₂×D₃	—	2	1	no	—
1762	C₂×D₃	—	2	1	no	—
1763	C₂×D₃	—	2	1	no	—
1764	C₂×D₃	—	2	1	no	—
1765	C₂×D₃	—	2	1	no	—
1766	C₂×D₃	—	2	1	no	—
1767	C₂×D₃	—	2	1	no	—
1768	C₂×D₃	—	2	1	no	—
1769	C₂×D₃	—	2	1	no	—
1770	C₂×D₃	—	2	1	no	—
1771	C₂×D₃	—	4	4	no	—
1772	C₂×D₃	—	4	4	no	—
1773	C₂×D₃	C₂×C₅×#41	1	2	yes	—
1774	C₂×D₃	C₂×C₅×#41	1	2	yes	—
1775	C₃×C₄	—	2	1	no	—
1776	C₃×C₄	—	2	1	no	—
1777	C₃×C₄	—	2	1	no	—
1778	C₃×C₄	—	2	1	no	—
1779	C₃×C₄	—	2	1	no	—
1780	C₃×C₄	—	2	1	no	—
1781	C₃×C₄	—	2	1	no	—
1782	C₃×C₄	—	2	1	no	—
1783	C₃×C₄	—	2	1	no	—
1784	C₃×C₄	—	2	1	no	—
1785	C₃×C₄	—	2	1	no	—
1786	C₃×C₄	C₂×C₅×#41	1	2	yes	—
1787	Dic₃	—	2	1	no	—
1788	Dic₃	—	2	1	no	—
1789	Dic₃	—	2	1	no	—
1790	Dic₃	—	2	1	no	—
1791	Dic₃	—	2	1	no	—
1792	Dic₃	—	2	1	no	—
1793	Dic₃	—	2	1	no	—
1794	Dic₃	—	2	1	no	—
1795	Dic₃	—	2	1	no	—
1796	Dic₃	—	2	1	no	—
1797	Dic₃	C₂×C₅×#41	1	2	yes	—
1798	Dic₃	C₂×C₅×#41	1	2	yes	—
1799	C₂×C₅	—	2	2	no	—
1800	C₂×C₅	—	4	1	no	—
1801	C₂×C₅	—	4	1	no	—
1802	C₂×C₅	—	6	2	no	—
1803	C₂×C₅	—	6	2	no	—
1804	C₂×C₅	—	12	1	no	—
1805	C₂×C₅	—	12	1	no	—
1806	C₂×C₅	C₂×D₃×#41	1	1	yes	characteristic
1807	C₂×C₅	C₂×D₃×#41	1	1	yes	characteristic
1808	C₂×C₅	#5964	1	1	yes	characteristic
1809	C₂³	—	3	1	no	—
1810	C₂³	—	3	1	no	—
1811	C₂³	—	3	1	no	—
1812	C₂³	—	3	1	no	—
1813	C₂³	—	6	2	no	—
1814	C₂³	—	6	2	no	—
1815	C₂³	—	6	2	no	—
1816	C₂³	—	6	2	no	—
1817	C₂³	—	12	1	no	—
1818	C₂³	—	12	1	no	—
1819	C₂³	C₂³×C₅×D₃	1	1	yes	characteristic
1820	C₂³	C₂³×C₅×D₃	1	1	yes	characteristic
1821	C₂³	C₂³×C₅×D₃	1	1	yes	characteristic
1822	Q₈	—	4	1	no	—
1823	Q₈	—	6	2	no	—
1824	Q₈	—	6	2	no	—
1825	Q₈	—	6	2	no	—
1826	Q₈	—	12	1	no	—
1827	D₄	—	2	2	no	—
1828	D₄	—	2	2	no	—
1829	D₄	—	3	4	no	—
1830	D₄	—	4	1	no	—
1831	D₄	—	6	2	no	—
1832	D₄	—	6	2	no	—
1833	D₄	—	6	2	no	—
1834	D₄	—	6	2	no	—
1835	D₄	—	6	2	no	—
1836	D₄	—	6	2	no	—
1837	D₄	—	6	2	no	—
1838	D₄	—	6	2	no	—
1839	D₄	—	12	1	no	—
1840	D₄	—	12	1	no	—
1841	D₄	—	12	1	no	—
1842	C₂×C₄	—	2	2	no	—
1843	C₂×C₄	—	2	2	no	—
1844	C₂×C₄	—	2	2	no	—
1845	C₂×C₄	—	2	2	no	—
1846	C₂×C₄	—	3	1	no	—
1847	C₂×C₄	—	3	1	no	—
1848	C₂×C₄	—	3	4	no	—
1849	C₂×C₄	—	3	1	no	—
1850	C₂×C₄	—	3	1	no	—
1851	C₂×C₄	—	3	1	no	—
1852	C₂×C₄	—	3	1	no	—
1853	C₂×C₄	—	3	1	no	—
1854	C₂×C₄	—	3	1	no	—
1855	C₂×C₄	—	3	1	no	—
1856	C₂×C₄	—	3	1	no	—
1857	C₂×C₄	—	3	1	no	—
1858	C₂×C₄	—	3	1	no	—
1859	C₂×C₄	—	4	1	no	—
1860	C₂×C₄	—	6	2	no	—
1861	C₂×C₄	—	6	2	no	—
1862	C₂×C₄	—	6	2	no	—
1863	C₂×C₄	—	6	2	no	—
1864	C₂×C₄	—	6	2	no	—
1865	C₂×C₄	—	6	2	no	—
1866	C₂×C₄	—	6	2	no	—
1867	C₂×C₄	—	6	2	no	—
1868	C₂×C₄	—	6	2	no	—
1869	C₂×C₄	—	6	2	no	—
1870	C₂×C₄	—	6	2	no	—
1871	C₂×C₄	—	6	2	no	—
1872	C₂×C₄	—	6	2	no	—
1873	C₂×C₄	—	6	2	no	—
1874	C₂×C₄	—	6	2	no	—
1875	C₂×C₄	—	12	1	no	—
1876	C₂×C₄	—	12	1	no	—
1877	C₂×C₄	—	12	1	no	—
1878	C₂×C₄	—	12	1	no	—
1879	C₂×C₄	—	12	1	no	—
1880	C₂×C₄	—	12	1	no	—
1881	C₂×C₄	C₂³×C₅×D₃	1	1	yes	characteristic
1882	C₂×C₄	C₂³×C₅×D₃	1	1	yes	characteristic
1883	C₂×C₄	C₂³×C₅×D₃	1	1	yes	characteristic
1884	C₂×C₄	C₂³×C₅×D₃	1	1	yes	characteristic
1885	C₂×C₄	C₂³×C₅×D₃	1	1	yes	characteristic
1886	C₂×C₄	C₂³×C₅×D₃	1	1	yes	characteristic
1887	C₂×C₄	C₂³×C₅×D₃	1	1	yes	characteristic
1888	C₂×C₄	C₂³×C₅×D₃	1	1	yes	characteristic
1889	C₂×C₄	C₂³×C₅×D₃	1	1	yes	characteristic
1890	C₂×C₄	C₂³×C₅×D₃	1	1	yes	characteristic
1891	C₂×C₄	C₂³×C₅×D₃	1	1	yes	characteristic
1892	C₂×C₄	C₂³×C₅×D₃	1	1	yes	characteristic
1893	C₂×C₃	—	2	2	no	—
1894	C₂×C₃	—	4	1	no	—
1895	C₂×C₃	—	4	1	no	—
1896	C₂×C₃	C₂²×C₅×#41	1	1	yes	characteristic
1897	C₂×C₃	C₂²×C₅×#41	1	1	yes	characteristic
1898	C₂×C₃	C₅×#585	1	1	yes	characteristic
1899	D₃	—	2	2	no	—
1900	D₃	—	2	2	no	—
1901	D₃	—	4	1	no	—
1902	D₃	—	4	1	no	—
1903	C₅	#86150	1	1	yes	characteristic, direct product factor, Sylow
1904	C₂²	—	2	1	no	—
1905	C₂²	—	2	1	no	—
1906	C₂²	—	2	1	no	—
1907	C₂²	—	2	1	no	—
1908	C₂²	—	2	1	no	—
1909	C₂²	—	2	1	no	—
1910	C₂²	—	2	1	no	—
1911	C₂²	—	2	1	no	—
1912	C₂²	—	3	2	no	—
1913	C₂²	—	3	2	no	—
1914	C₂²	—	6	1	no	—
1915	C₂²	—	6	1	no	—
1916	C₂²	—	6	1	no	—
1917	C₂²	—	6	1	no	—
1918	C₂²	—	6	1	no	—
1919	C₂²	—	6	1	no	—
1920	C₂²	—	6	1	no	—
1921	C₂²	—	6	1	no	—
1922	C₂²	—	6	1	no	—
1923	C₂²	—	6	1	no	—
1924	C₂²	—	12	4	no	—
1925	C₂²	—	12	4	no	—
1926	C₂²	C₅×D₃×#41	1	2	yes	—
1927	C₂²	C₂⁴×C₅×D₃	1	1	yes	characteristic
1928	C₄	—	2	1	no	—
1929	C₄	—	2	1	no	—
1930	C₄	—	2	1	no	—
1931	C₄	—	2	1	no	—
1932	C₄	—	2	1	no	—
1933	C₄	—	2	1	no	—
1934	C₄	—	2	1	no	—
1935	C₄	—	2	1	no	—
1936	C₄	—	2	1	no	—
1937	C₄	—	2	1	no	—
1938	C₄	—	2	1	no	—
1939	C₄	—	3	2	no	—
1940	C₄	—	3	2	no	—
1941	C₄	—	6	1	no	—
1942	C₄	—	6	1	no	—
1943	C₄	—	6	1	no	—
1944	C₄	—	6	1	no	—
1945	C₄	—	6	1	no	—
1946	C₄	—	6	1	no	—
1947	C₄	—	6	1	no	—
1948	C₄	—	6	1	no	—
1949	C₄	—	6	1	no	—
1950	C₄	—	6	1	no	—
1951	C₄	C₅×D₃×#41	1	2	yes	—
1952	C₃	C₅×#3475	1	1	yes	characteristic, complemented, Sylow
1953	C₂	—	2	2	no	—
1954	C₂	—	4	1	no	—
1955	C₂	—	4	1	no	—
1956	C₂	—	6	2	no	—
1957	C₂	—	6	2	no	—
1958	C₂	—	12	1	no	—
1959	C₂	—	12	1	no	—
1960	C₂	C₂×C₅×D₃×#41	1	1	yes	characteristic
1961	C₂	C₂×C₅×D₃×#41	1	1	yes	characteristic
1962	C₂	C₅×#5964	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄×C₅	C₂³×D₃
commutator, cosocle	C₂²×C₃	C₂⁵×C₅
Frattini	C₂²	C₂⁴×C₅×D₃
Fitting	C₃×C₅×#529	C₂
socle	C₂²×C₃×C₅	C₂⁵
hypercenter	C₅×#529	D₃
hypocenter	C₃	C₅×#3475
LCS	G ▷ C₂²×C₃ ▷ C₃
UCS	C₁ ◁ C₂×C₄×C₅ ◁ C₅×#529

Complements

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

N	H ≅ G/N	type
1. C₃×C₅×#529	C₂	semidirect
2. C₅×#5709	C₂	semidirect
3. C₅×#5708	C₂	semidirect
4. C₅×#5705	C₂	semidirect
5. C₅×#5702	C₂	semidirect
6. C₅×#5693	C₂	semidirect
7. C₅×#5693	C₂	semidirect
8. C₅×#5679	C₂	semidirect
9. C₅×#5670	C₂	semidirect
10. C₅×#5658	C₂	semidirect
11. C₅×#5655	C₂	semidirect
12. C₅×#5654	C₂	semidirect
13. C₅×#5650	C₂	semidirect
14. C₅×#5637	C₂	semidirect
15. C₅×#5636	C₂	semidirect
16. C₅×#5610	C₂	semidirect
17. C₅×#5601	C₂	semidirect
18. C₅×#5580	C₂	semidirect
19. C₅×#5578	C₂	semidirect
20. C₅×#5547	C₂	semidirect
21. C₅×#5547	C₂	semidirect
22. C₄×C₅×D₃×D₄	C₂	semidirect
23. C₅×#5538	C₂	semidirect
24. C₅×#5538	C₂	semidirect
25. C₄×C₅×#237	C₂	semidirect
26. C₅×#5528	C₂	semidirect
27. C₅×#5528	C₂	semidirect
28. C₅×#5522	C₂	semidirect
29. C₅×D₃×#117	C₂	semidirect
30. C₄×C₅×#235	C₂	semidirect
31. C₂×C₅×#872	C₂	semidirect
39. C₃×C₅×#126	C₂²	semidirect
40. C₃×C₅×#126	C₂²	semidirect
41. C₃×C₅×#125	C₂²	semidirect
42. C₃×C₅×#124	C₂²	semidirect
44. C₃×C₅×#123	C₂²	semidirect
45. C₃×C₅×C₂²⋊Q₈	C₂²	semidirect
47. C₃×C₄×C₅×Q₈	C₂²	semidirect
49. C₃×C₄×C₅×D₄	C₂²	semidirect
50. C₃×C₄×C₅×D₄	C₂²	semidirect
51. C₃×C₅×#117	C₂²	semidirect
52. C₃×C₅×#117	C₂²	semidirect
53. C₂×C₃×C₄²×C₅	C₂²	semidirect
54. C₅×#947	C₂²	semidirect
56. C₅×#946	C₂²	semidirect
57. C₅×#944	C₂²	semidirect
60. C₅×#939	C₂²	semidirect
61. C₅×#939	C₂²	semidirect
65. C₅×#935	C₂²	semidirect
67. C₅×D₄×Dic₃	C₂²	semidirect
71. C₄×C₅×#67	C₂²	semidirect
72. C₄×C₅×#67	C₂²	semidirect
73. C₄×C₅×#67	C₂²	semidirect
74. C₄×C₅×#67	C₂²	semidirect
75. C₄×C₅×#67	C₂²	semidirect
78. C₅×#926	C₂²	semidirect
79. C₅×#926	C₂²	semidirect
80. C₂×C₅×Dic₃⋊C₄	C₂²	semidirect
81. C₂×C₅×Dic₃⋊C₄	C₂²	semidirect
82. C₂×C₄×C₅×Dic₃	C₂²	semidirect
83. C₂×C₄×C₅×Dic₃	C₂²	semidirect
84. C₅×#898	C₂²	semidirect
85. C₅×#898	C₂²	semidirect
86. C₅×#898	C₂²	semidirect
87. C₅×#898	C₂²	semidirect
88. C₅×#898	C₂²	semidirect
89. C₅×#898	C₂²	semidirect
93. C₅×#896	C₂²	semidirect
94. C₅×#896	C₂²	semidirect
95. C₅×#896	C₂²	semidirect
96. C₅×#896	C₂²	semidirect
102. C₅×#894	C₂²	semidirect
103. C₅×#894	C₂²	semidirect
109. C₅×#892	C₂²	semidirect
111. C₅×D₃×C₄⋊C₄	C₂²	semidirect
112. C₅×D₃×C₄⋊C₄	C₂²	semidirect
113. C₅×#890	C₂²	semidirect
114. C₅×#889	C₂²	semidirect
115. C₅×#889	C₂²	semidirect
116. C₅×#889	C₂²	semidirect
117. C₅×#889	C₂²	semidirect
118. C₅×#889	C₂²	semidirect
119. C₅×#889	C₂²	semidirect
120. C₅×#888	C₂²	semidirect
121. C₅×#887	C₂²	semidirect
122. C₅×#887	C₂²	semidirect
123. C₅×#887	C₂²	semidirect
124. C₅×#886	C₂²	semidirect
125. C₅×#886	C₂²	semidirect
128. C₅×#885	C₂²	semidirect
129. C₅×#885	C₂²	semidirect
132. C₅×#884	C₂²	semidirect
133. C₅×#884	C₂²	semidirect
136. C₅×#883	C₂²	semidirect
137. C₅×#883	C₂²	semidirect
145. C₅×#67⋊C₄	C₂²	semidirect
146. C₅×#67⋊C₄	C₂²	semidirect
147. C₅×#67⋊C₄	C₂²	semidirect
152. C₅×#879	C₂²	semidirect
153. C₅×#879	C₂²	semidirect
154. C₅×#879	C₂²	semidirect
155. C₅×#879	C₂²	semidirect
156. C₅×#878	C₂²	semidirect
157. C₅×#878	C₂²	semidirect
158. C₅×#878	C₂²	semidirect
159. C₅×#878	C₂²	semidirect
160. C₅×#877	C₂²	semidirect
161. C₅×#877	C₂²	semidirect
162. C₅×#877	C₂²	semidirect
163. C₅×#877	C₂²	semidirect
165. C₄×C₅×D₁₂	C₂²	semidirect
166. C₄×C₅×D₁₂	C₂²	semidirect
167. C₄×C₅×D₁₂	C₂²	semidirect
173. C₅×#872	C₂²	semidirect
174. C₅×#872	C₂²	semidirect
175. C₅×#872	C₂²	semidirect
176. C₅×#872	C₂²	semidirect
177. C₅×#872	C₂²	semidirect
178. C₅×#872	C₂²	semidirect
179. C₅×#872	C₂²	semidirect
181. C₄²×C₅×D₃	C₂²	semidirect
182. C₄²×C₅×D₃	C₂²	semidirect
183. C₄²×C₅×D₃	C₂²	semidirect
184. C₄×C₅×Dic₆	C₂²	semidirect
185. C₄×C₅×Dic₆	C₂²	semidirect
186. C₄×C₅×Dic₆	C₂²	semidirect
187. C₄×C₅×Dic₆	C₂²	semidirect
188. #86150	C₅	direct (N × H)
211. C₅×#529	D₃	semidirect
381. C₃×#529	C₂×C₅	semidirect
382. #5709	C₂×C₅	semidirect
383. #5708	C₂×C₅	semidirect
384. #5705	C₂×C₅	semidirect
385. #5702	C₂×C₅	semidirect
386. #5693	C₂×C₅	semidirect
387. #5693	C₂×C₅	semidirect
388. #5679	C₂×C₅	semidirect
389. #5670	C₂×C₅	semidirect
390. #5658	C₂×C₅	semidirect
391. #5655	C₂×C₅	semidirect
392. #5654	C₂×C₅	semidirect
393. #5650	C₂×C₅	semidirect
394. #5637	C₂×C₅	semidirect
395. #5636	C₂×C₅	semidirect
396. #5610	C₂×C₅	semidirect
397. #5601	C₂×C₅	semidirect
398. #5580	C₂×C₅	semidirect
399. #5578	C₂×C₅	semidirect
400. #5547	C₂×C₅	semidirect
401. #5547	C₂×C₅	semidirect
402. C₄×D₃×D₄	C₂×C₅	semidirect
403. #5538	C₂×C₅	semidirect
404. #5538	C₂×C₅	semidirect
405. C₄×#237	C₂×C₅	semidirect
406. #5528	C₂×C₅	semidirect
407. #5528	C₂×C₅	semidirect
408. #5522	C₂×C₅	semidirect
409. D₃×#117	C₂×C₅	semidirect
410. C₄×#235	C₂×C₅	semidirect
411. C₂×#872	C₂×C₅	semidirect
430. C₅×#126	C₂×D₃	semidirect
431. C₅×#126	C₂×D₃	semidirect
439. C₅×#125	C₂×D₃	semidirect
445. C₅×#124	C₂×D₃	semidirect
461. C₅×#123	C₂×D₃	semidirect
475. C₅×C₂²⋊Q₈	C₂×D₃	semidirect
497. C₄×C₅×Q₈	C₂×D₃	semidirect
524. C₄×C₅×D₄	C₂×D₃	semidirect
525. C₄×C₅×D₄	C₂×D₃	semidirect
547. C₅×#117	C₂×D₃	semidirect
548. C₅×#117	C₂×D₃	semidirect
566. C₂×C₄²×C₅	C₂×D₃	semidirect
609. C₅×#67	#41	semidirect
647. C₄×C₅×D₃	#41	semidirect
658. C₃×#126	C₂²×C₅	semidirect
659. C₃×#126	C₂²×C₅	semidirect
660. C₃×#125	C₂²×C₅	semidirect
661. C₃×#124	C₂²×C₅	semidirect
663. C₃×#123	C₂²×C₅	semidirect
664. C₃×C₂²⋊Q₈	C₂²×C₅	semidirect
666. C₃×C₄×Q₈	C₂²×C₅	semidirect
668. C₃×C₄×D₄	C₂²×C₅	semidirect
669. C₃×C₄×D₄	C₂²×C₅	semidirect
670. C₃×#117	C₂²×C₅	semidirect
671. C₃×#117	C₂²×C₅	semidirect
672. C₂×C₃×C₄²	C₂²×C₅	semidirect
673. #947	C₂²×C₅	semidirect
675. #946	C₂²×C₅	semidirect
676. #944	C₂²×C₅	semidirect
679. #939	C₂²×C₅	semidirect
680. #939	C₂²×C₅	semidirect
684. #935	C₂²×C₅	semidirect
686. D₄×Dic₃	C₂²×C₅	semidirect
690. C₄×#67	C₂²×C₅	semidirect
691. C₄×#67	C₂²×C₅	semidirect
692. C₄×#67	C₂²×C₅	semidirect
693. C₄×#67	C₂²×C₅	semidirect
694. C₄×#67	C₂²×C₅	semidirect
697. #926	C₂²×C₅	semidirect
698. #926	C₂²×C₅	semidirect
699. C₂×Dic₃⋊C₄	C₂²×C₅	semidirect
700. C₂×Dic₃⋊C₄	C₂²×C₅	semidirect
701. C₂×C₄×Dic₃	C₂²×C₅	semidirect
702. C₂×C₄×Dic₃	C₂²×C₅	semidirect
703. #898	C₂²×C₅	semidirect
704. #898	C₂²×C₅	semidirect
705. #898	C₂²×C₅	semidirect
706. #898	C₂²×C₅	semidirect
707. #898	C₂²×C₅	semidirect
708. #898	C₂²×C₅	semidirect
712. #896	C₂²×C₅	semidirect
713. #896	C₂²×C₅	semidirect
714. #896	C₂²×C₅	semidirect
715. #896	C₂²×C₅	semidirect
721. #894	C₂²×C₅	semidirect
722. #894	C₂²×C₅	semidirect
728. #892	C₂²×C₅	semidirect
730. D₃×C₄⋊C₄	C₂²×C₅	semidirect
731. D₃×C₄⋊C₄	C₂²×C₅	semidirect
732. #890	C₂²×C₅	semidirect
733. #889	C₂²×C₅	semidirect
734. #889	C₂²×C₅	semidirect
735. #889	C₂²×C₅	semidirect
736. #889	C₂²×C₅	semidirect
737. #889	C₂²×C₅	semidirect
738. #889	C₂²×C₅	semidirect
739. #888	C₂²×C₅	semidirect
740. #887	C₂²×C₅	semidirect
741. #887	C₂²×C₅	semidirect
742. #887	C₂²×C₅	semidirect
743. #886	C₂²×C₅	semidirect
744. #886	C₂²×C₅	semidirect
747. #885	C₂²×C₅	semidirect
748. #885	C₂²×C₅	semidirect
751. #884	C₂²×C₅	semidirect
752. #884	C₂²×C₅	semidirect
755. #883	C₂²×C₅	semidirect
756. #883	C₂²×C₅	semidirect
764. #67⋊C₄	C₂²×C₅	semidirect
765. #67⋊C₄	C₂²×C₅	semidirect
766. #67⋊C₄	C₂²×C₅	semidirect
771. #879	C₂²×C₅	semidirect
772. #879	C₂²×C₅	semidirect
773. #879	C₂²×C₅	semidirect
774. #879	C₂²×C₅	semidirect
775. #878	C₂²×C₅	semidirect
776. #878	C₂²×C₅	semidirect
777. #878	C₂²×C₅	semidirect
778. #878	C₂²×C₅	semidirect
779. #877	C₂²×C₅	semidirect
780. #877	C₂²×C₅	semidirect
781. #877	C₂²×C₅	semidirect
782. #877	C₂²×C₅	semidirect
784. C₄×D₁₂	C₂²×C₅	semidirect
785. C₄×D₁₂	C₂²×C₅	semidirect
786. C₄×D₁₂	C₂²×C₅	semidirect
792. #872	C₂²×C₅	semidirect
793. #872	C₂²×C₅	semidirect
794. #872	C₂²×C₅	semidirect
795. #872	C₂²×C₅	semidirect
796. #872	C₂²×C₅	semidirect
797. #872	C₂²×C₅	semidirect
798. #872	C₂²×C₅	semidirect
800. C₄²×D₃	C₂²×C₅	semidirect
801. C₄²×D₃	C₂²×C₅	semidirect
802. C₄²×D₃	C₂²×C₅	semidirect
803. C₄×Dic₆	C₂²×C₅	semidirect
804. C₄×Dic₆	C₂²×C₅	semidirect
805. C₄×Dic₆	C₂²×C₅	semidirect
806. C₄×Dic₆	C₂²×C₅	semidirect
990. #529	C₅×D₃	semidirect
1310. #126	C₂×C₅×D₃	semidirect
1311. #126	C₂×C₅×D₃	semidirect
1319. #125	C₂×C₅×D₃	semidirect
1325. #124	C₂×C₅×D₃	semidirect
1341. #123	C₂×C₅×D₃	semidirect
1355. C₂²⋊Q₈	C₂×C₅×D₃	semidirect
1377. C₄×Q₈	C₂×C₅×D₃	semidirect
1404. C₄×D₄	C₂×C₅×D₃	semidirect
1405. C₄×D₄	C₂×C₅×D₃	semidirect
1427. #117	C₂×C₅×D₃	semidirect
1428. #117	C₂×C₅×D₃	semidirect
1446. C₂×C₄²	C₂×C₅×D₃	semidirect
1498. #67	C₅×#41	semidirect
1536. C₄×D₃	C₅×#41	semidirect
1750. C₃×C₅	#3475	semidirect
1903. C₅	#86150	direct (N × H)
1952. 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×#529	2
C₅×#5709	2
C₅×#5708	2
C₅×#5705	2
C₅×#5702	2
C₅×#5693	2
C₅×#5679	2
C₅×#5670	2
C₅×#5658	2
C₅×#5655	2
C₅×#5654	2
C₅×#5650	2
C₅×#5637	2
C₅×#5636	2
C₅×#5610	2
C₅×#5601	2
C₅×#5580	2
C₅×#5578	2
C₅×#5547	2
C₄×C₅×D₃×D₄	2
C₅×#5538	2
C₄×C₅×#237	2
C₅×#5528	2
C₅×#5522	2
C₅×D₃×#117	2
C₄×C₅×#235	2
C₂×C₅×#872	2
C₅×#3475	3
#86150	5

Subgroups — C5×#86150 #14484111

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₅×#86150 #14484111