Subgroups — C₅×#86146 #14481496

Order 1920.

2080 conjugacy classes of subgroups.

The subgroup lattice has 1932 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×#5710	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#5707	C₂	1	1	yes	maximal, characteristic, complemented
4	C₅×#5704	C₂	1	1	yes	maximal, characteristic, complemented
5	C₅×#5701	C₂	1	1	yes	maximal, characteristic, complemented
6	C₅×#5696	C₂	1	1	yes	maximal, characteristic, complemented
7	C₅×#5692	C₂	1	1	yes	maximal, characteristic, complemented
8	C₅×#5678	C₂	1	1	yes	maximal, characteristic, complemented
9	C₅×#5669	C₂	1	1	yes	maximal, characteristic, complemented
10	C₅×#5663	C₂	1	1	yes	maximal, characteristic, complemented
11	C₅×#5662	C₂	1	1	yes	maximal, characteristic, complemented
12	C₅×#5660	C₂	1	1	yes	maximal, characteristic, complemented
13	C₅×#5657	C₂	1	1	yes	maximal, characteristic, complemented
14	C₅×#5640	C₂	1	1	yes	maximal, characteristic, complemented
15	C₅×#5638	C₂	1	1	yes	maximal, characteristic, complemented
16	C₅×#5615	C₂	1	1	yes	maximal, characteristic, complemented
17	C₅×#5613	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×#5557	C₂	1	1	yes	maximal, characteristic, complemented
21	C₅×#5548	C₂	1	1	yes	maximal, characteristic, complemented
22	C₅×#5547	C₂	1	1	yes	maximal, characteristic, complemented
23	C₅×#5547	C₂	1	1	yes	maximal, characteristic, complemented
24	C₅×#5538	C₂	1	1	yes	maximal, characteristic, complemented
25	C₅×#5538	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	C₅×#5479	C₂	1	1	yes	maximal, characteristic, complemented
31	C₄×C₅×#235	C₂	1	1	yes	maximal, characteristic, complemented
32	C₅×#3455	—	3	1	no	maximal, Hall
33	C₂×C₅×#235	C₂²	1	1	yes	characteristic
34	C₂×C₅×#235	C₂²	1	1	yes	characteristic
35	C₂²×C₄×C₅×D₃	C₂²	1	1	yes	characteristic
36	C₃×C₅×#126	C₂²	1	1	yes	characteristic
37	C₃×C₅×#126	C₂²	1	1	yes	characteristic, complemented
38	C₃×C₅×#125	C₂²	1	1	yes	characteristic, complemented
39	C₃×C₅×#124	C₂²	1	1	yes	characteristic
40	C₃×C₅×#123	C₂²	1	1	yes	characteristic
41	C₃×C₅×#123	C₂²	1	1	yes	characteristic, complemented
42	C₃×C₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
43	C₃×C₅×#121	C₂²	1	1	yes	characteristic
44	C₃×C₄×C₅×Q₈	C₂²	1	1	yes	characteristic, complemented
45	C₃×C₄×C₅×D₄	C₂²	1	1	yes	characteristic
46	C₃×C₄×C₅×D₄	C₂²	1	1	yes	characteristic
47	C₃×C₄×C₅×D₄	C₂²	1	1	yes	characteristic, complemented
48	C₃×C₅×#117	C₂²	1	1	yes	characteristic
49	C₃×C₅×#117	C₂²	1	1	yes	characteristic, complemented
50	C₂×C₃×C₄²×C₅	C₂²	1	1	yes	characteristic, complemented
51	C₅×#947	C₂²	1	1	yes	characteristic
52	C₅×#946	C₂²	1	1	yes	characteristic
53	C₅×#946	C₂²	1	1	yes	characteristic, complemented
54	C₅×#944	C₂²	1	1	yes	characteristic, complemented
55	C₅×#940	C₂²	1	1	yes	characteristic, complemented
56	C₅×#939	C₂²	1	1	yes	characteristic
57	C₅×#939	C₂²	1	1	yes	characteristic
58	C₅×#939	C₂²	1	1	yes	characteristic
59	C₅×#939	C₂²	1	1	yes	characteristic
60	C₅×#938	C₂²	1	1	yes	characteristic
61	C₅×#938	C₂²	1	1	yes	characteristic
62	C₅×#937	C₂²	1	1	yes	characteristic
63	C₅×#937	C₂²	1	1	yes	characteristic
64	C₅×#936	C₂²	1	1	yes	characteristic
65	C₅×#935	C₂²	1	1	yes	characteristic
66	C₅×#935	C₂²	1	1	yes	characteristic, complemented
67	C₅×#930	C₂²	1	1	yes	characteristic
68	C₅×#929	C₂²	1	1	yes	characteristic
69	C₅×#929	C₂²	1	1	yes	characteristic, complemented
70	C₄×C₅×#67	C₂²	1	1	yes	characteristic
71	C₄×C₅×#67	C₂²	1	1	yes	characteristic
72	C₄×C₅×#67	C₂²	1	1	yes	characteristic
73	C₄×C₅×#67	C₂²	1	1	yes	characteristic
74	C₄×C₅×#67	C₂²	1	1	yes	characteristic
75	C₄×C₅×#67	C₂²	1	1	yes	characteristic
76	C₄×C₅×#67	C₂²	1	1	yes	characteristic, complemented
77	C₄×C₅×#67	C₂²	1	1	yes	characteristic, complemented
78	C₄×C₅×#67	C₂²	1	1	yes	characteristic, complemented
79	C₄×C₅×#67	C₂²	1	1	yes	characteristic, complemented
80	C₅×#926	C₂²	1	1	yes	characteristic
81	C₅×#926	C₂²	1	1	yes	characteristic, complemented
82	C₅×#924	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
85	C₅×#898	C₂²	1	1	yes	characteristic
86	C₅×#898	C₂²	1	1	yes	characteristic
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×#897	C₂²	1	1	yes	characteristic, complemented
92	C₅×#896	C₂²	1	1	yes	characteristic
93	C₅×#896	C₂²	1	1	yes	characteristic
94	C₅×#896	C₂²	1	1	yes	characteristic
95	C₅×#896	C₂²	1	1	yes	characteristic
96	C₅×#896	C₂²	1	1	yes	characteristic, complemented
97	C₅×#896	C₂²	1	1	yes	characteristic, complemented
98	C₅×#895	C₂²	1	1	yes	characteristic
99	C₅×#895	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
103	C₅×#894	C₂²	1	1	yes	characteristic
104	C₅×#894	C₂²	1	1	yes	characteristic, complemented
105	C₅×#894	C₂²	1	1	yes	characteristic, complemented
106	C₅×#893	C₂²	1	1	yes	characteristic
107	C₅×#893	C₂²	1	1	yes	characteristic
108	C₅×#892	C₂²	1	1	yes	characteristic
109	C₅×#892	C₂²	1	1	yes	characteristic
110	C₅×D₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
111	C₅×D₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
112	C₅×#890	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×#888	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
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
129	C₅×#885	C₂²	1	1	yes	characteristic
130	C₅×#885	C₂²	1	1	yes	characteristic, complemented
131	C₅×#885	C₂²	1	1	yes	characteristic, complemented
132	C₅×#884	C₂²	1	1	yes	characteristic
133	C₅×#884	C₂²	1	1	yes	characteristic
134	C₅×#884	C₂²	1	1	yes	characteristic
135	C₅×#884	C₂²	1	1	yes	characteristic
136	C₅×#884	C₂²	1	1	yes	characteristic
137	C₅×#884	C₂²	1	1	yes	characteristic
138	C₅×#883	C₂²	1	1	yes	characteristic
139	C₅×#883	C₂²	1	1	yes	characteristic
140	C₅×#883	C₂²	1	1	yes	characteristic
141	C₅×#883	C₂²	1	1	yes	characteristic
142	C₅×#883	C₂²	1	1	yes	characteristic, complemented
143	C₅×#883	C₂²	1	1	yes	characteristic, complemented
144	C₅×#882	C₂²	1	1	yes	characteristic
145	C₅×#882	C₂²	1	1	yes	characteristic
146	C₅×#67⋊C₄	C₂²	1	1	yes	characteristic
147	C₅×#67⋊C₄	C₂²	1	1	yes	characteristic
148	C₅×#67⋊C₄	C₂²	1	1	yes	characteristic, complemented
149	C₅×#67⋊C₄	C₂²	1	1	yes	characteristic, complemented
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
153	C₅×#879	C₂²	1	1	yes	characteristic
154	C₅×#879	C₂²	1	1	yes	characteristic
155	C₅×#879	C₂²	1	1	yes	characteristic, complemented
156	C₅×#879	C₂²	1	1	yes	characteristic, complemented
157	C₅×#879	C₂²	1	1	yes	characteristic, complemented
158	C₅×#878	C₂²	1	1	yes	characteristic
159	C₅×#878	C₂²	1	1	yes	characteristic
160	C₅×#878	C₂²	1	1	yes	characteristic, complemented
161	C₅×#878	C₂²	1	1	yes	characteristic, complemented
162	C₅×#877	C₂²	1	1	yes	characteristic
163	C₅×#877	C₂²	1	1	yes	characteristic
164	C₅×#876	C₂²	1	1	yes	characteristic
165	C₅×#876	C₂²	1	1	yes	characteristic, complemented
166	C₅×#875	C₂²	1	1	yes	characteristic
167	C₄×C₅×D₁₂	C₂²	1	1	yes	characteristic
168	C₄×C₅×D₁₂	C₂²	1	1	yes	characteristic
169	C₄×C₅×D₁₂	C₂²	1	1	yes	characteristic
170	C₄×C₅×D₁₂	C₂²	1	1	yes	characteristic
171	C₄×C₅×D₁₂	C₂²	1	1	yes	characteristic, complemented
172	C₅×#872	C₂²	1	1	yes	characteristic
173	C₅×#872	C₂²	1	1	yes	characteristic
174	C₅×#872	C₂²	1	1	yes	characteristic
175	C₅×#872	C₂²	1	1	yes	characteristic
176	C₅×#872	C₂²	1	1	yes	characteristic, complemented
177	C₅×#872	C₂²	1	1	yes	characteristic, complemented
178	C₄²×C₅×D₃	C₂²	1	1	yes	characteristic
179	C₄²×C₅×D₃	C₂²	1	1	yes	characteristic
180	C₄²×C₅×D₃	C₂²	1	1	yes	characteristic, complemented
181	C₄²×C₅×D₃	C₂²	1	1	yes	characteristic, complemented
182	C₅×#870	C₂²	1	1	yes	characteristic, complemented
183	C₄×C₅×Dic₆	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	#86146	C₅	1	1	yes	maximal, characteristic, direct product factor, Hall
189	C₅×#542	—	3	1	no	—
190	C₅×#542	—	3	1	no	—
191	C₅×#542	—	3	1	no	—
192	C₅×#542	—	3	1	no	—
193	C₅×#541	—	3	1	no	—
194	C₅×#541	—	3	1	no	—
195	C₅×#540	—	3	1	no	—
196	C₅×#540	—	3	1	no	—
197	C₅×#539	—	3	1	no	—
198	C₅×#539	—	3	1	no	—
199	C₅×#539	—	3	1	no	—
200	C₅×#539	—	3	1	no	—
201	C₅×#538	—	3	1	no	—
202	C₅×#538	—	3	1	no	—
203	C₅×#538	—	3	1	no	—
204	C₅×#538	—	3	1	no	—
205	C₅×#533	—	3	1	no	—
206	C₅×#532	—	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	—	3	1	no	—
212	C₅×#529	—	3	1	no	—
213	C₅×#529	—	3	1	no	—
214	C₅×#529	D₃	1	1	yes	characteristic, complemented
215	C₅×#525	—	3	1	no	—
216	C₅×#525	—	3	1	no	—
217	C₄×C₅×#41	—	3	1	no	—
218	C₄×C₅×#41	—	3	1	no	—
219	C₂×C₅×#117	—	3	1	no	—
220	C₂³×C₅×D₃	C₂³	1	1	yes	characteristic
221	C₂×C₃×C₅×Q₈	C₂³	1	1	yes	characteristic
222	C₂×C₃×C₅×D₄	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	C₂²×C₃×C₄×C₅	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	C₂×C₅×#67	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	C₂×C₅×#67	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	C₅×#235	—	2	4	no	—
244	C₅×#235	—	2	4	no	—
245	C₂×C₅×D₁₂	C₂³	1	1	yes	characteristic
246	C₂×C₅×D₁₂	C₂³	1	1	yes	characteristic
247	C₂×C₅×D₁₂	C₂³	1	1	yes	characteristic
248	C₂×C₅×D₁₂	C₂³	1	1	yes	characteristic
249	C₂×C₅×D₁₂	C₂³	1	1	yes	characteristic
250	C₂×C₄×C₅×D₃	—	2	4	no	—
251	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic
252	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic
253	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic
254	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic
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×C₅×Dic₆	C₂³	1	1	yes	characteristic
266	C₂×C₅×Dic₆	C₂³	1	1	yes	characteristic
267	C₂×C₅×Dic₆	C₂³	1	1	yes	characteristic
268	C₂×C₅×Dic₆	C₂³	1	1	yes	characteristic
269	C₂×C₅×Dic₆	C₂³	1	1	yes	characteristic
270	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
271	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
272	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
273	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
274	C₃×C₅×C₄⋊C₄	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×C₂²⋊C₄	C₂³	1	1	yes	characteristic
281	C₃×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
282	C₃×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
283	C₃×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
284	C₃×C₅×C₂²⋊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×C₄²×C₅	C₂³	1	1	yes	characteristic
291	C₃×C₄²×C₅	C₂³	1	1	yes	characteristic
292	C₃×C₄²×C₅	C₂³	1	1	yes	characteristic
293	C₃×C₄²×C₅	C₂³	1	1	yes	characteristic
294	C₃×C₄²×C₅	C₂³	1	1	yes	characteristic
295	C₃×C₄²×C₅	C₂³	1	1	yes	characteristic
296	C₅×#217	C₂³	1	1	yes	characteristic
297	C₅×#217	C₂³	1	1	yes	characteristic
298	C₅×#217	C₂³	1	1	yes	characteristic
299	C₅×#217	C₂³	1	1	yes	characteristic
300	C₅×#217	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×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
307	C₅×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
308	C₅×(C₂×D₃)⋊C₄	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×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
331	C₅×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
332	C₅×C₄⋊Dic₃	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×Dic₃⋊C₄	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	C₄×C₅×Dic₃	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	C₃×#529	C₂×C₅	1	1	yes	characteristic, complemented
379	#5710	C₂×C₅	1	1	yes	characteristic, complemented
380	#5707	C₂×C₅	1	1	yes	characteristic, complemented
381	#5704	C₂×C₅	1	1	yes	characteristic, complemented
382	#5701	C₂×C₅	1	1	yes	characteristic, complemented
383	#5696	C₂×C₅	1	1	yes	characteristic, complemented
384	#5692	C₂×C₅	1	1	yes	characteristic, complemented
385	#5678	C₂×C₅	1	1	yes	characteristic, complemented
386	#5669	C₂×C₅	1	1	yes	characteristic, complemented
387	#5663	C₂×C₅	1	1	yes	characteristic, complemented
388	#5662	C₂×C₅	1	1	yes	characteristic, complemented
389	#5660	C₂×C₅	1	1	yes	characteristic, complemented
390	#5657	C₂×C₅	1	1	yes	characteristic, complemented
391	#5640	C₂×C₅	1	1	yes	characteristic, complemented
392	#5638	C₂×C₅	1	1	yes	characteristic, complemented
393	#5615	C₂×C₅	1	1	yes	characteristic, complemented
394	#5613	C₂×C₅	1	1	yes	characteristic, complemented
395	#5580	C₂×C₅	1	1	yes	characteristic, complemented
396	#5578	C₂×C₅	1	1	yes	characteristic, complemented
397	#5557	C₂×C₅	1	1	yes	characteristic, complemented
398	#5548	C₂×C₅	1	1	yes	characteristic, complemented
399	#5547	C₂×C₅	1	1	yes	characteristic, complemented
400	#5547	C₂×C₅	1	1	yes	characteristic, complemented
401	#5538	C₂×C₅	1	1	yes	characteristic, complemented
402	#5538	C₂×C₅	1	1	yes	characteristic, complemented
403	#5528	C₂×C₅	1	1	yes	characteristic, complemented
404	#5528	C₂×C₅	1	1	yes	characteristic, complemented
405	#5522	C₂×C₅	1	1	yes	characteristic, complemented
406	D₃×#117	C₂×C₅	1	1	yes	characteristic, complemented
407	#5479	C₂×C₅	1	1	yes	characteristic, complemented
408	C₄×#235	C₂×C₅	1	1	yes	characteristic, complemented
409	C₂×C₅×#41	—	3	1	no	—
410	C₂×C₅×#41	—	3	1	no	—
411	C₂³×C₄×C₅	—	3	1	no	—
412	C₅×C₄⋊Q₈	—	3	1	no	—
413	C₅×C₄⋊Q₈	—	3	1	no	—
414	C₅×C₄⋊Q₈	—	3	1	no	—
415	C₅×#127	—	3	1	no	—
416	C₅×#126	—	3	1	no	—
417	C₅×#126	—	3	1	no	—
418	C₅×#126	—	3	1	no	—
419	C₅×#126	—	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
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	—	3	1	no	—
440	C₅×#125	—	3	1	no	—
441	C₅×#125	C₂×D₃	1	1	yes	characteristic, complemented
442	C₅×#124	—	3	1	no	—
443	C₅×#124	—	3	1	no	—
444	C₅×#124	—	3	1	no	—
445	C₅×#124	—	3	1	no	—
446	C₅×#124	—	3	1	no	—
447	C₅×#124	—	3	1	no	—
448	C₅×#124	—	3	1	no	—
449	C₅×#124	—	3	1	no	—
450	C₅×#124	—	3	1	no	—
451	C₅×#124	C₂×D₃	1	1	yes	characteristic
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	—	3	1	no	—
461	C₅×#123	—	3	1	no	—
462	C₅×#123	—	3	1	no	—
463	C₅×#123	—	3	1	no	—
464	C₅×#123	—	3	1	no	—
465	C₅×#123	—	3	1	no	—
466	C₅×#123	—	3	1	no	—
467	C₅×#123	—	3	1	no	—
468	C₅×#123	—	3	1	no	—
469	C₅×#123	—	3	1	no	—
470	C₅×#123	C₂×D₃	1	1	yes	characteristic
471	C₅×#123	C₂×D₃	1	1	yes	characteristic, complemented
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	—	3	1	no	—
476	C₅×C₂²⋊Q₈	—	3	1	no	—
477	C₅×C₂²⋊Q₈	—	3	1	no	—
478	C₅×C₂²⋊Q₈	—	3	1	no	—
479	C₅×C₂²⋊Q₈	—	3	1	no	—
480	C₅×C₂²⋊Q₈	—	3	1	no	—
481	C₅×C₂²⋊Q₈	—	3	1	no	—
482	C₅×C₂²⋊Q₈	—	3	1	no	—
483	C₅×C₂²⋊Q₈	—	3	1	no	—
484	C₅×C₂²⋊Q₈	—	3	1	no	—
485	C₅×C₂²⋊Q₈	—	3	1	no	—
486	C₅×C₂²⋊Q₈	—	3	1	no	—
487	C₅×C₂²⋊Q₈	C₂×D₃	1	1	yes	characteristic, complemented
488	C₅×#121	—	3	1	no	—
489	C₅×#121	—	3	1	no	—
490	C₅×#121	—	3	1	no	—
491	C₅×#121	—	3	1	no	—
492	C₅×#121	—	3	1	no	—
493	C₅×#121	—	3	1	no	—
494	C₅×#121	—	3	1	no	—
495	C₅×#121	—	3	1	no	—
496	C₅×#121	—	3	1	no	—
497	C₅×#121	—	3	1	no	—
498	C₅×#121	—	3	1	no	—
499	C₅×#121	—	3	1	no	—
500	C₅×#121	—	3	1	no	—
501	C₅×#121	—	3	1	no	—
502	C₅×#121	—	3	1	no	—
503	C₅×#121	C₂×D₃	1	1	yes	characteristic
504	C₅×#120	—	3	1	no	—
505	C₅×#120	—	3	1	no	—
506	C₅×#120	—	3	1	no	—
507	C₅×#120	—	3	1	no	—
508	C₄×C₅×Q₈	—	3	1	no	—
509	C₄×C₅×Q₈	—	3	1	no	—
510	C₄×C₅×Q₈	—	3	1	no	—
511	C₄×C₅×Q₈	—	3	1	no	—
512	C₄×C₅×Q₈	—	3	1	no	—
513	C₄×C₅×Q₈	—	3	1	no	—
514	C₄×C₅×Q₈	—	3	1	no	—
515	C₄×C₅×Q₈	C₂×D₃	1	1	yes	characteristic, complemented
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	—	3	1	no	—
524	C₄×C₅×D₄	—	3	1	no	—
525	C₄×C₅×D₄	—	3	1	no	—
526	C₄×C₅×D₄	—	3	1	no	—
527	C₄×C₅×D₄	—	3	1	no	—
528	C₄×C₅×D₄	—	3	1	no	—
529	C₄×C₅×D₄	—	3	1	no	—
530	C₄×C₅×D₄	—	3	1	no	—
531	C₄×C₅×D₄	—	3	1	no	—
532	C₄×C₅×D₄	—	3	1	no	—
533	C₄×C₅×D₄	—	3	1	no	—
534	C₄×C₅×D₄	—	3	1	no	—
535	C₄×C₅×D₄	—	3	1	no	—
536	C₄×C₅×D₄	—	3	1	no	—
537	C₄×C₅×D₄	C₂×D₃	1	1	yes	characteristic
538	C₄×C₅×D₄	C₂×D₃	1	1	yes	characteristic
539	C₄×C₅×D₄	C₂×D₃	1	1	yes	characteristic, complemented
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	—	3	1	no	—
548	C₅×#117	—	3	1	no	—
549	C₅×#117	—	3	1	no	—
550	C₅×#117	—	3	1	no	—
551	C₅×#117	—	3	1	no	—
552	C₅×#117	C₂×D₃	1	1	yes	characteristic
553	C₅×#117	C₂×D₃	1	1	yes	characteristic, complemented
554	C₂×C₅×C₄⋊C₄	—	3	1	no	—
555	C₂×C₅×C₄⋊C₄	—	3	1	no	—
556	C₂×C₅×C₂²⋊C₄	—	3	1	no	—
557	C₂×C₅×C₂²⋊C₄	—	3	1	no	—
558	C₂×C₄²×C₅	—	3	1	no	—
559	C₂×C₄²×C₅	—	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	C₂×D₃	1	1	yes	characteristic, complemented
564	#3455	—	3	1	no	Sylow
565	C₂³×C₃×C₅	C₂⁴	1	1	yes	characteristic
566	C₂³×C₃×C₅	C₂⁴	1	1	yes	characteristic
567	C₂³×C₃×C₅	C₂⁴	1	1	yes	characteristic
568	C₂²×C₅×D₃	—	2	2	no	—
569	C₂²×C₅×D₃	—	4	1	no	—
570	C₂²×C₅×D₃	—	4	1	no	—
571	C₂²×C₅×D₃	C₂⁴	1	1	yes	characteristic
572	C₂²×C₅×D₃	C₂⁴	1	1	yes	characteristic
573	C₂²×C₅×D₃	C₂⁴	1	1	yes	characteristic
574	C₂²×C₅×D₃	C₂⁴	1	1	yes	characteristic
575	C₃×C₅×Q₈	—	4	1	no	—
576	C₃×C₅×D₄	—	4	1	no	—
577	C₃×C₅×D₄	—	4	1	no	—
578	C₃×C₅×D₄	—	4	1	no	—
579	C₂×C₃×C₄×C₅	—	2	2	no	—
580	C₂×C₃×C₄×C₅	—	2	2	no	—
581	C₂×C₃×C₄×C₅	—	2	2	no	—
582	C₂×C₃×C₄×C₅	—	4	1	no	—
583	C₂×C₃×C₄×C₅	—	4	1	no	—
584	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
585	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
586	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
587	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
588	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
589	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
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	C₅×#67	—	2	2	no	—
597	C₅×#67	—	2	2	no	—
598	C₅×#67	—	2	2	no	—
599	C₅×#67	—	2	2	no	—
600	C₅×#67	—	4	1	no	—
601	C₅×#67	—	4	1	no	—
602	C₅×#67	—	4	1	no	—
603	C₅×#67	—	4	1	no	—
604	C₅×#67	—	4	1	no	—
605	C₅×#67	—	4	1	no	—
606	C₂×C₅×Dic₃	—	2	2	no	—
607	C₂×C₅×Dic₃	—	4	1	no	—
608	C₂×C₅×Dic₃	—	4	1	no	—
609	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
610	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
611	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
612	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
613	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
614	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
615	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
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	C₅×D₁₂	—	2	2	no	—
622	C₅×D₁₂	—	2	2	no	—
623	C₅×D₁₂	—	4	1	no	—
624	C₅×D₁₂	—	4	1	no	—
625	C₅×D₁₂	—	4	1	no	—
626	C₄×C₅×D₃	—	2	2	no	—
627	C₄×C₅×D₃	—	2	2	no	—
628	C₄×C₅×D₃	—	2	2	no	—
629	C₄×C₅×D₃	—	2	2	no	—
630	C₄×C₅×D₃	—	2	2	no	—
631	C₄×C₅×D₃	—	4	1	no	—
632	C₄×C₅×D₃	—	4	1	no	—
633	C₄×C₅×D₃	—	4	1	no	—
634	C₄×C₅×D₃	—	4	1	no	—
635	C₄×C₅×D₃	—	4	1	no	—
636	C₄×C₅×D₃	—	4	1	no	—
637	C₄×C₅×D₃	—	4	1	no	—
638	C₄×C₅×D₃	—	4	1	no	—
639	C₄×C₅×D₃	#41	1	4	yes	—
640	C₅×Dic₆	—	2	2	no	—
641	C₅×Dic₆	—	2	2	no	—
642	C₅×Dic₆	—	4	1	no	—
643	C₅×Dic₆	—	4	1	no	—
644	C₅×Dic₆	—	4	1	no	—
645	C₂×#235	C₂²×C₅	1	1	yes	characteristic
646	C₂×#235	C₂²×C₅	1	1	yes	characteristic
647	C₂²×C₄×D₃	C₂²×C₅	1	1	yes	characteristic
648	C₃×#126	C₂²×C₅	1	1	yes	characteristic
649	C₃×#126	C₂²×C₅	1	1	yes	characteristic, complemented
650	C₃×#125	C₂²×C₅	1	1	yes	characteristic, complemented
651	C₃×#124	C₂²×C₅	1	1	yes	characteristic
652	C₃×#123	C₂²×C₅	1	1	yes	characteristic
653	C₃×#123	C₂²×C₅	1	1	yes	characteristic, complemented
654	C₃×C₂²⋊Q₈	C₂²×C₅	1	1	yes	characteristic, complemented
655	C₃×#121	C₂²×C₅	1	1	yes	characteristic
656	C₃×C₄×Q₈	C₂²×C₅	1	1	yes	characteristic, complemented
657	C₃×C₄×D₄	C₂²×C₅	1	1	yes	characteristic
658	C₃×C₄×D₄	C₂²×C₅	1	1	yes	characteristic
659	C₃×C₄×D₄	C₂²×C₅	1	1	yes	characteristic, complemented
660	C₃×#117	C₂²×C₅	1	1	yes	characteristic
661	C₃×#117	C₂²×C₅	1	1	yes	characteristic, complemented
662	C₂×C₃×C₄²	C₂²×C₅	1	1	yes	characteristic, complemented
663	#947	C₂²×C₅	1	1	yes	characteristic
664	#946	C₂²×C₅	1	1	yes	characteristic
665	#946	C₂²×C₅	1	1	yes	characteristic, complemented
666	#944	C₂²×C₅	1	1	yes	characteristic, complemented
667	#940	C₂²×C₅	1	1	yes	characteristic, complemented
668	#939	C₂²×C₅	1	1	yes	characteristic
669	#939	C₂²×C₅	1	1	yes	characteristic
670	#939	C₂²×C₅	1	1	yes	characteristic
671	#939	C₂²×C₅	1	1	yes	characteristic
672	#938	C₂²×C₅	1	1	yes	characteristic
673	#938	C₂²×C₅	1	1	yes	characteristic
674	#937	C₂²×C₅	1	1	yes	characteristic
675	#937	C₂²×C₅	1	1	yes	characteristic
676	#936	C₂²×C₅	1	1	yes	characteristic
677	#935	C₂²×C₅	1	1	yes	characteristic
678	#935	C₂²×C₅	1	1	yes	characteristic, complemented
679	#930	C₂²×C₅	1	1	yes	characteristic
680	#929	C₂²×C₅	1	1	yes	characteristic
681	#929	C₂²×C₅	1	1	yes	characteristic, complemented
682	C₄×#67	C₂²×C₅	1	1	yes	characteristic
683	C₄×#67	C₂²×C₅	1	1	yes	characteristic
684	C₄×#67	C₂²×C₅	1	1	yes	characteristic
685	C₄×#67	C₂²×C₅	1	1	yes	characteristic
686	C₄×#67	C₂²×C₅	1	1	yes	characteristic
687	C₄×#67	C₂²×C₅	1	1	yes	characteristic
688	C₄×#67	C₂²×C₅	1	1	yes	characteristic, complemented
689	C₄×#67	C₂²×C₅	1	1	yes	characteristic, complemented
690	C₄×#67	C₂²×C₅	1	1	yes	characteristic, complemented
691	C₄×#67	C₂²×C₅	1	1	yes	characteristic, complemented
692	#926	C₂²×C₅	1	1	yes	characteristic
693	#926	C₂²×C₅	1	1	yes	characteristic, complemented
694	#924	C₂²×C₅	1	1	yes	characteristic, complemented
695	C₂×C₄×Dic₃	C₂²×C₅	1	1	yes	characteristic, complemented
696	#898	C₂²×C₅	1	1	yes	characteristic
697	#898	C₂²×C₅	1	1	yes	characteristic
698	#898	C₂²×C₅	1	1	yes	characteristic
699	#898	C₂²×C₅	1	1	yes	characteristic, complemented
700	#898	C₂²×C₅	1	1	yes	characteristic, complemented
701	#898	C₂²×C₅	1	1	yes	characteristic, complemented
702	#897	C₂²×C₅	1	1	yes	characteristic
703	#897	C₂²×C₅	1	1	yes	characteristic, complemented
704	#896	C₂²×C₅	1	1	yes	characteristic
705	#896	C₂²×C₅	1	1	yes	characteristic
706	#896	C₂²×C₅	1	1	yes	characteristic
707	#896	C₂²×C₅	1	1	yes	characteristic
708	#896	C₂²×C₅	1	1	yes	characteristic, complemented
709	#896	C₂²×C₅	1	1	yes	characteristic, complemented
710	#895	C₂²×C₅	1	1	yes	characteristic
711	#895	C₂²×C₅	1	1	yes	characteristic
712	#894	C₂²×C₅	1	1	yes	characteristic
713	#894	C₂²×C₅	1	1	yes	characteristic
714	#894	C₂²×C₅	1	1	yes	characteristic
715	#894	C₂²×C₅	1	1	yes	characteristic
716	#894	C₂²×C₅	1	1	yes	characteristic, complemented
717	#894	C₂²×C₅	1	1	yes	characteristic, complemented
718	#893	C₂²×C₅	1	1	yes	characteristic
719	#893	C₂²×C₅	1	1	yes	characteristic
720	#892	C₂²×C₅	1	1	yes	characteristic
721	#892	C₂²×C₅	1	1	yes	characteristic
722	D₃×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
723	D₃×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
724	#890	C₂²×C₅	1	1	yes	characteristic, complemented
725	#890	C₂²×C₅	1	1	yes	characteristic, complemented
726	#889	C₂²×C₅	1	1	yes	characteristic, complemented
727	#889	C₂²×C₅	1	1	yes	characteristic, complemented
728	#889	C₂²×C₅	1	1	yes	characteristic, complemented
729	#889	C₂²×C₅	1	1	yes	characteristic, complemented
730	#889	C₂²×C₅	1	1	yes	characteristic, complemented
731	#889	C₂²×C₅	1	1	yes	characteristic, complemented
732	#888	C₂²×C₅	1	1	yes	characteristic, complemented
733	#888	C₂²×C₅	1	1	yes	characteristic, complemented
734	#887	C₂²×C₅	1	1	yes	characteristic, complemented
735	#887	C₂²×C₅	1	1	yes	characteristic, complemented
736	#886	C₂²×C₅	1	1	yes	characteristic
737	#886	C₂²×C₅	1	1	yes	characteristic, complemented
738	#885	C₂²×C₅	1	1	yes	characteristic
739	#885	C₂²×C₅	1	1	yes	characteristic
740	#885	C₂²×C₅	1	1	yes	characteristic
741	#885	C₂²×C₅	1	1	yes	characteristic
742	#885	C₂²×C₅	1	1	yes	characteristic, complemented
743	#885	C₂²×C₅	1	1	yes	characteristic, complemented
744	#884	C₂²×C₅	1	1	yes	characteristic
745	#884	C₂²×C₅	1	1	yes	characteristic
746	#884	C₂²×C₅	1	1	yes	characteristic
747	#884	C₂²×C₅	1	1	yes	characteristic
748	#884	C₂²×C₅	1	1	yes	characteristic
749	#884	C₂²×C₅	1	1	yes	characteristic
750	#883	C₂²×C₅	1	1	yes	characteristic
751	#883	C₂²×C₅	1	1	yes	characteristic
752	#883	C₂²×C₅	1	1	yes	characteristic
753	#883	C₂²×C₅	1	1	yes	characteristic
754	#883	C₂²×C₅	1	1	yes	characteristic, complemented
755	#883	C₂²×C₅	1	1	yes	characteristic, complemented
756	#882	C₂²×C₅	1	1	yes	characteristic
757	#882	C₂²×C₅	1	1	yes	characteristic
758	#67⋊C₄	C₂²×C₅	1	1	yes	characteristic
759	#67⋊C₄	C₂²×C₅	1	1	yes	characteristic
760	#67⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
761	#67⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
762	D₃×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
763	D₃×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
764	#879	C₂²×C₅	1	1	yes	characteristic
765	#879	C₂²×C₅	1	1	yes	characteristic
766	#879	C₂²×C₅	1	1	yes	characteristic
767	#879	C₂²×C₅	1	1	yes	characteristic, complemented
768	#879	C₂²×C₅	1	1	yes	characteristic, complemented
769	#879	C₂²×C₅	1	1	yes	characteristic, complemented
770	#878	C₂²×C₅	1	1	yes	characteristic
771	#878	C₂²×C₅	1	1	yes	characteristic
772	#878	C₂²×C₅	1	1	yes	characteristic, complemented
773	#878	C₂²×C₅	1	1	yes	characteristic, complemented
774	#877	C₂²×C₅	1	1	yes	characteristic
775	#877	C₂²×C₅	1	1	yes	characteristic
776	#876	C₂²×C₅	1	1	yes	characteristic
777	#876	C₂²×C₅	1	1	yes	characteristic, complemented
778	#875	C₂²×C₅	1	1	yes	characteristic
779	C₄×D₁₂	C₂²×C₅	1	1	yes	characteristic
780	C₄×D₁₂	C₂²×C₅	1	1	yes	characteristic
781	C₄×D₁₂	C₂²×C₅	1	1	yes	characteristic
782	C₄×D₁₂	C₂²×C₅	1	1	yes	characteristic
783	C₄×D₁₂	C₂²×C₅	1	1	yes	characteristic, complemented
784	#872	C₂²×C₅	1	1	yes	characteristic
785	#872	C₂²×C₅	1	1	yes	characteristic
786	#872	C₂²×C₅	1	1	yes	characteristic
787	#872	C₂²×C₅	1	1	yes	characteristic
788	#872	C₂²×C₅	1	1	yes	characteristic, complemented
789	#872	C₂²×C₅	1	1	yes	characteristic, complemented
790	C₄²×D₃	C₂²×C₅	1	1	yes	characteristic
791	C₄²×D₃	C₂²×C₅	1	1	yes	characteristic
792	C₄²×D₃	C₂²×C₅	1	1	yes	characteristic, complemented
793	C₄²×D₃	C₂²×C₅	1	1	yes	characteristic, complemented
794	#870	C₂²×C₅	1	1	yes	characteristic, complemented
795	C₄×Dic₆	C₂²×C₅	1	1	yes	characteristic, complemented
796	C₄×Dic₆	C₂²×C₅	1	1	yes	characteristic, complemented
797	C₄×Dic₆	C₂²×C₅	1	1	yes	characteristic, complemented
798	C₄×Dic₆	C₂²×C₅	1	1	yes	characteristic, complemented
799	C₄×Dic₆	C₂²×C₅	1	1	yes	characteristic, complemented
800	C₂⁴×C₅	—	3	1	no	—
801	C₅×#41	—	6	4	no	—
802	C₅×#41	—	6	4	no	—
803	C₂×C₅×Q₈	—	3	1	no	—
804	C₂×C₅×Q₈	—	3	1	no	—
805	C₂×C₅×Q₈	—	3	1	no	—
806	C₂×C₅×Q₈	—	3	1	no	—
807	C₂×C₅×Q₈	—	3	1	no	—
808	C₂×C₅×Q₈	C₂²×D₃	1	1	yes	characteristic
809	C₂×C₅×D₄	—	3	1	no	—
810	C₂×C₅×D₄	—	3	1	no	—
811	C₂×C₅×D₄	—	3	1	no	—
812	C₂×C₅×D₄	—	3	1	no	—
813	C₂×C₅×D₄	—	3	1	no	—
814	C₂×C₅×D₄	—	3	1	no	—
815	C₂×C₅×D₄	—	3	1	no	—
816	C₂×C₅×D₄	—	3	1	no	—
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	C₂²×D₃	1	1	yes	characteristic
825	C₂×C₅×D₄	C₂²×D₃	1	1	yes	characteristic
826	C₂×C₅×D₄	C₂²×D₃	1	1	yes	characteristic
827	C₂²×C₄×C₅	—	3	1	no	—
828	C₂²×C₄×C₅	—	3	1	no	—
829	C₂²×C₄×C₅	—	3	1	no	—
830	C₂²×C₄×C₅	—	3	1	no	—
831	C₂²×C₄×C₅	—	3	1	no	—
832	C₂²×C₄×C₅	—	3	1	no	—
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	—	6	4	no	—
845	C₂²×C₄×C₅	C₂²×D₃	1	1	yes	characteristic
846	C₂²×C₄×C₅	C₂²×D₃	1	1	yes	characteristic
847	C₂²×C₄×C₅	C₂²×D₃	1	1	yes	characteristic
848	C₂²×C₄×C₅	C₂²×D₃	1	1	yes	characteristic
849	C₂²×C₄×C₅	C₂²×D₃	1	1	yes	characteristic
850	C₅×C₄⋊C₄	—	3	1	no	—
851	C₅×C₄⋊C₄	—	3	1	no	—
852	C₅×C₄⋊C₄	—	3	1	no	—
853	C₅×C₄⋊C₄	—	3	1	no	—
854	C₅×C₄⋊C₄	—	3	1	no	—
855	C₅×C₄⋊C₄	—	3	1	no	—
856	C₅×C₄⋊C₄	—	3	1	no	—
857	C₅×C₄⋊C₄	—	3	1	no	—
858	C₅×C₄⋊C₄	—	3	1	no	—
859	C₅×C₄⋊C₄	—	3	1	no	—
860	C₅×C₄⋊C₄	—	3	1	no	—
861	C₅×C₄⋊C₄	—	3	1	no	—
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	C₂²×D₃	1	1	yes	characteristic
885	C₅×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
886	C₅×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
887	C₅×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
888	C₅×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
889	C₅×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
890	C₅×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
891	C₅×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
892	C₅×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
893	C₅×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
894	C₅×C₂²⋊C₄	—	3	1	no	—
895	C₅×C₂²⋊C₄	—	3	1	no	—
896	C₅×C₂²⋊C₄	—	3	1	no	—
897	C₅×C₂²⋊C₄	—	3	1	no	—
898	C₅×C₂²⋊C₄	—	3	1	no	—
899	C₅×C₂²⋊C₄	—	3	1	no	—
900	C₅×C₂²⋊C₄	—	3	1	no	—
901	C₅×C₂²⋊C₄	—	3	1	no	—
902	C₅×C₂²⋊C₄	—	3	1	no	—
903	C₅×C₂²⋊C₄	—	3	1	no	—
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	C₂²×D₃	1	1	yes	characteristic
929	C₅×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
930	C₅×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
931	C₅×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
932	C₅×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
933	C₅×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
934	C₅×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
935	C₅×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
936	C₅×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
937	C₅×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
938	C₄²×C₅	—	3	1	no	—
939	C₄²×C₅	—	3	1	no	—
940	C₄²×C₅	—	3	1	no	—
941	C₄²×C₅	—	3	1	no	—
942	C₄²×C₅	—	3	1	no	—
943	C₄²×C₅	—	3	1	no	—
944	C₄²×C₅	—	3	1	no	—
945	C₄²×C₅	—	3	1	no	—
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	C₂²×D₃	1	1	yes	characteristic
953	C₄²×C₅	C₂²×D₃	1	1	yes	characteristic
954	C₄²×C₅	C₂²×D₃	1	1	yes	characteristic
955	C₄²×C₅	C₂²×D₃	1	1	yes	characteristic
956	C₄²×C₅	C₂²×D₃	1	1	yes	characteristic
957	C₄²×C₅	C₂²×D₃	1	1	yes	characteristic
958	#542	—	3	1	no	—
959	#542	—	3	1	no	—
960	#542	—	3	1	no	—
961	#542	—	3	1	no	—
962	#541	—	3	1	no	—
963	#541	—	3	1	no	—
964	#540	—	3	1	no	—
965	#540	—	3	1	no	—
966	#539	—	3	1	no	—
967	#539	—	3	1	no	—
968	#539	—	3	1	no	—
969	#539	—	3	1	no	—
970	#538	—	3	1	no	—
971	#538	—	3	1	no	—
972	#538	—	3	1	no	—
973	#538	—	3	1	no	—
974	#533	—	3	1	no	—
975	#532	—	3	1	no	—
976	#529	—	3	1	no	—
977	#529	—	3	1	no	—
978	#529	—	3	1	no	—
979	#529	—	3	1	no	—
980	#529	—	3	1	no	—
981	#529	—	3	1	no	—
982	#529	—	3	1	no	—
983	#529	C₅×D₃	1	1	yes	characteristic, complemented
984	#525	—	3	1	no	—
985	#525	—	3	1	no	—
986	C₄×#41	—	3	1	no	—
987	C₄×#41	—	3	1	no	—
988	C₂×#117	—	3	1	no	—
989	C₂²×C₃×C₅	—	2	1	no	—
990	C₂²×C₃×C₅	—	2	1	no	—
991	C₂²×C₃×C₅	—	2	1	no	—
992	C₂²×C₃×C₅	—	2	1	no	—
993	C₂²×C₃×C₅	—	2	1	no	—
994	C₂²×C₃×C₅	—	2	1	no	—
995	C₂²×C₃×C₅	—	2	1	no	—
996	C₂²×C₃×C₅	—	2	1	no	—
997	C₂²×C₃×C₅	—	2	1	no	—
998	C₂²×C₃×C₅	C₂⁵	1	1	yes	characteristic
999	C₂×C₅×D₃	—	2	1	no	—
1000	C₂×C₅×D₃	—	2	1	no	—
1001	C₂×C₅×D₃	—	2	1	no	—
1002	C₂×C₅×D₃	—	2	1	no	—
1003	C₂×C₅×D₃	—	2	1	no	—
1004	C₂×C₅×D₃	—	2	1	no	—
1005	C₂×C₅×D₃	—	2	1	no	—
1006	C₂×C₅×D₃	—	2	1	no	—
1007	C₂×C₅×D₃	—	2	1	no	—
1008	C₂×C₅×D₃	—	2	1	no	—
1009	C₂×C₅×D₃	—	2	1	no	—
1010	C₂×C₅×D₃	—	4	4	no	—
1011	C₂×C₅×D₃	C₂×#41	1	2	yes	—
1012	C₃×C₄×C₅	—	2	1	no	—
1013	C₃×C₄×C₅	—	2	1	no	—
1014	C₃×C₄×C₅	—	2	1	no	—
1015	C₃×C₄×C₅	—	2	1	no	—
1016	C₃×C₄×C₅	—	2	1	no	—
1017	C₃×C₄×C₅	—	2	1	no	—
1018	C₃×C₄×C₅	—	2	1	no	—
1019	C₃×C₄×C₅	—	2	1	no	—
1020	C₃×C₄×C₅	—	2	1	no	—
1021	C₃×C₄×C₅	—	2	1	no	—
1022	C₃×C₄×C₅	—	2	1	no	—
1023	C₃×C₄×C₅	C₂×#41	1	2	yes	—
1024	C₅×Dic₃	—	2	1	no	—
1025	C₅×Dic₃	—	2	1	no	—
1026	C₅×Dic₃	—	2	1	no	—
1027	C₅×Dic₃	—	2	1	no	—
1028	C₅×Dic₃	—	2	1	no	—
1029	C₅×Dic₃	—	2	1	no	—
1030	C₅×Dic₃	—	2	1	no	—
1031	C₅×Dic₃	—	2	1	no	—
1032	C₅×Dic₃	—	2	1	no	—
1033	C₅×Dic₃	—	2	1	no	—
1034	C₅×Dic₃	—	2	1	no	—
1035	C₅×Dic₃	C₂×#41	1	2	yes	—
1036	C₂³×D₃	C₂³×C₅	1	1	yes	characteristic
1037	C₂×C₃×Q₈	C₂³×C₅	1	1	yes	characteristic
1038	C₂×C₃×D₄	C₂³×C₅	1	1	yes	characteristic
1039	C₂×C₃×D₄	C₂³×C₅	1	1	yes	characteristic
1040	C₂×C₃×D₄	C₂³×C₅	1	1	yes	characteristic
1041	C₂²×C₃×C₄	C₂³×C₅	1	1	yes	characteristic
1042	C₂²×C₃×C₄	C₂³×C₅	1	1	yes	characteristic
1043	C₂²×C₃×C₄	C₂³×C₅	1	1	yes	characteristic
1044	C₂²×C₃×C₄	C₂³×C₅	1	1	yes	characteristic
1045	C₂²×C₃×C₄	C₂³×C₅	1	1	yes	characteristic
1046	C₂×#67	C₂³×C₅	1	1	yes	characteristic
1047	C₂×#67	C₂³×C₅	1	1	yes	characteristic
1048	C₂×#67	C₂³×C₅	1	1	yes	characteristic
1049	C₂×#67	C₂³×C₅	1	1	yes	characteristic
1050	C₂×#67	C₂³×C₅	1	1	yes	characteristic
1051	C₂×#67	C₂³×C₅	1	1	yes	characteristic
1052	C₂×#67	C₂³×C₅	1	1	yes	characteristic
1053	C₂×#67	C₂³×C₅	1	1	yes	characteristic
1054	C₂×#67	C₂³×C₅	1	1	yes	characteristic
1055	C₂×#67	C₂³×C₅	1	1	yes	characteristic
1056	C₂²×Dic₃	C₂³×C₅	1	1	yes	characteristic
1057	C₂²×Dic₃	C₂³×C₅	1	1	yes	characteristic
1058	C₂²×Dic₃	C₂³×C₅	1	1	yes	characteristic
1059	#235	—	2	4	no	—
1060	#235	—	2	4	no	—
1061	C₂×D₁₂	C₂³×C₅	1	1	yes	characteristic
1062	C₂×D₁₂	C₂³×C₅	1	1	yes	characteristic
1063	C₂×D₁₂	C₂³×C₅	1	1	yes	characteristic
1064	C₂×D₁₂	C₂³×C₅	1	1	yes	characteristic
1065	C₂×D₁₂	C₂³×C₅	1	1	yes	characteristic
1066	C₂×C₄×D₃	—	2	4	no	—
1067	C₂×C₄×D₃	C₂³×C₅	1	1	yes	characteristic
1068	C₂×C₄×D₃	C₂³×C₅	1	1	yes	characteristic
1069	C₂×C₄×D₃	C₂³×C₅	1	1	yes	characteristic
1070	C₂×C₄×D₃	C₂³×C₅	1	1	yes	characteristic
1071	C₂×C₄×D₃	C₂³×C₅	1	1	yes	characteristic
1072	C₂×C₄×D₃	C₂³×C₅	1	1	yes	characteristic
1073	C₂×C₄×D₃	C₂³×C₅	1	1	yes	characteristic
1074	C₂×C₄×D₃	C₂³×C₅	1	1	yes	characteristic
1075	C₂×C₄×D₃	C₂³×C₅	1	1	yes	characteristic
1076	C₂×C₄×D₃	C₂³×C₅	1	1	yes	characteristic
1077	C₂×C₄×D₃	C₂³×C₅	1	1	yes	characteristic
1078	C₂×C₄×D₃	C₂³×C₅	1	1	yes	characteristic
1079	C₂×C₄×D₃	C₂³×C₅	1	1	yes	characteristic
1080	C₂×C₄×D₃	C₂³×C₅	1	1	yes	characteristic
1081	C₂×Dic₆	C₂³×C₅	1	1	yes	characteristic
1082	C₂×Dic₆	C₂³×C₅	1	1	yes	characteristic
1083	C₂×Dic₆	C₂³×C₅	1	1	yes	characteristic
1084	C₂×Dic₆	C₂³×C₅	1	1	yes	characteristic
1085	C₂×Dic₆	C₂³×C₅	1	1	yes	characteristic
1086	C₃×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
1087	C₃×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
1088	C₃×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
1089	C₃×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
1090	C₃×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
1091	C₃×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
1092	C₃×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
1093	C₃×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
1094	C₃×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
1095	C₃×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
1096	C₃×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1097	C₃×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1098	C₃×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1099	C₃×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1100	C₃×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1101	C₃×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1102	C₃×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1103	C₃×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1104	C₃×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1105	C₃×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
1106	C₃×C₄²	C₂³×C₅	1	1	yes	characteristic
1107	C₃×C₄²	C₂³×C₅	1	1	yes	characteristic
1108	C₃×C₄²	C₂³×C₅	1	1	yes	characteristic
1109	C₃×C₄²	C₂³×C₅	1	1	yes	characteristic
1110	C₃×C₄²	C₂³×C₅	1	1	yes	characteristic
1111	C₃×C₄²	C₂³×C₅	1	1	yes	characteristic
1112	#217	C₂³×C₅	1	1	yes	characteristic
1113	#217	C₂³×C₅	1	1	yes	characteristic
1114	#217	C₂³×C₅	1	1	yes	characteristic
1115	#217	C₂³×C₅	1	1	yes	characteristic
1116	#217	C₂³×C₅	1	1	yes	characteristic
1117	#217	C₂³×C₅	1	1	yes	characteristic
1118	#217	C₂³×C₅	1	1	yes	characteristic
1119	#217	C₂³×C₅	1	1	yes	characteristic
1120	#217	C₂³×C₅	1	1	yes	characteristic
1121	#217	C₂³×C₅	1	1	yes	characteristic
1122	(C₂×D₃)⋊C₄	C₂³×C₅	1	1	yes	characteristic
1123	(C₂×D₃)⋊C₄	C₂³×C₅	1	1	yes	characteristic
1124	(C₂×D₃)⋊C₄	C₂³×C₅	1	1	yes	characteristic
1125	(C₂×D₃)⋊C₄	C₂³×C₅	1	1	yes	characteristic
1126	(C₂×D₃)⋊C₄	C₂³×C₅	1	1	yes	characteristic
1127	(C₂×D₃)⋊C₄	C₂³×C₅	1	1	yes	characteristic
1128	(C₂×D₃)⋊C₄	C₂³×C₅	1	1	yes	characteristic
1129	(C₂×D₃)⋊C₄	C₂³×C₅	1	1	yes	characteristic
1130	(C₂×D₃)⋊C₄	C₂³×C₅	1	1	yes	characteristic
1131	(C₂×D₃)⋊C₄	C₂³×C₅	1	1	yes	characteristic
1132	(C₂×D₃)⋊C₄	C₂³×C₅	1	1	yes	characteristic
1133	(C₂×D₃)⋊C₄	C₂³×C₅	1	1	yes	characteristic
1134	(C₂×D₃)⋊C₄	C₂³×C₅	1	1	yes	characteristic
1135	(C₂×D₃)⋊C₄	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	C₄⋊Dic₃	C₂³×C₅	1	1	yes	characteristic
1147	C₄⋊Dic₃	C₂³×C₅	1	1	yes	characteristic
1148	C₄⋊Dic₃	C₂³×C₅	1	1	yes	characteristic
1149	C₄⋊Dic₃	C₂³×C₅	1	1	yes	characteristic
1150	C₄⋊Dic₃	C₂³×C₅	1	1	yes	characteristic
1151	C₄⋊Dic₃	C₂³×C₅	1	1	yes	characteristic
1152	C₄⋊Dic₃	C₂³×C₅	1	1	yes	characteristic
1153	C₄⋊Dic₃	C₂³×C₅	1	1	yes	characteristic
1154	C₄⋊Dic₃	C₂³×C₅	1	1	yes	characteristic
1155	C₄⋊Dic₃	C₂³×C₅	1	1	yes	characteristic
1156	Dic₃⋊C₄	C₂³×C₅	1	1	yes	characteristic
1157	Dic₃⋊C₄	C₂³×C₅	1	1	yes	characteristic
1158	Dic₃⋊C₄	C₂³×C₅	1	1	yes	characteristic
1159	Dic₃⋊C₄	C₂³×C₅	1	1	yes	characteristic
1160	Dic₃⋊C₄	C₂³×C₅	1	1	yes	characteristic
1161	Dic₃⋊C₄	C₂³×C₅	1	1	yes	characteristic
1162	Dic₃⋊C₄	C₂³×C₅	1	1	yes	characteristic
1163	Dic₃⋊C₄	C₂³×C₅	1	1	yes	characteristic
1164	Dic₃⋊C₄	C₂³×C₅	1	1	yes	characteristic
1165	Dic₃⋊C₄	C₂³×C₅	1	1	yes	characteristic
1166	Dic₃⋊C₄	C₂³×C₅	1	1	yes	characteristic
1167	Dic₃⋊C₄	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	C₄×Dic₃	C₂³×C₅	1	1	yes	characteristic
1181	C₄×Dic₃	C₂³×C₅	1	1	yes	characteristic
1182	C₄×Dic₃	C₂³×C₅	1	1	yes	characteristic
1183	C₄×Dic₃	C₂³×C₅	1	1	yes	characteristic
1184	C₄×Dic₃	C₂³×C₅	1	1	yes	characteristic
1185	C₄×Dic₃	C₂³×C₅	1	1	yes	characteristic
1186	C₄×Dic₃	C₂³×C₅	1	1	yes	characteristic
1187	C₄×Dic₃	C₂³×C₅	1	1	yes	characteristic
1188	C₄×Dic₃	C₂³×C₅	1	1	yes	characteristic
1189	C₄×Dic₃	C₂³×C₅	1	1	yes	characteristic
1190	C₄×Dic₃	C₂³×C₅	1	1	yes	characteristic
1191	C₄×Dic₃	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	C₂³×C₅	—	3	1	no	—
1195	C₂³×C₅	—	3	1	no	—
1196	C₂³×C₅	—	3	1	no	—
1197	C₂³×C₅	—	3	1	no	—
1198	C₂³×C₅	—	6	2	no	—
1199	C₂³×C₅	—	12	1	no	—
1200	C₂³×C₅	—	12	1	no	—
1201	C₂³×C₅	C₂³×D₃	1	1	yes	characteristic
1202	C₂³×C₅	C₂³×D₃	1	1	yes	characteristic
1203	C₂³×C₅	C₂³×D₃	1	1	yes	characteristic
1204	C₅×Q₈	—	4	1	no	—
1205	C₅×Q₈	—	6	2	no	—
1206	C₅×Q₈	—	6	2	no	—
1207	C₅×Q₈	—	12	1	no	—
1208	C₅×Q₈	—	12	1	no	—
1209	C₅×Q₈	—	12	1	no	—
1210	C₅×D₄	—	4	1	no	—
1211	C₅×D₄	—	4	1	no	—
1212	C₅×D₄	—	4	1	no	—
1213	C₅×D₄	—	6	2	no	—
1214	C₅×D₄	—	6	2	no	—
1215	C₅×D₄	—	6	2	no	—
1216	C₅×D₄	—	6	2	no	—
1217	C₅×D₄	—	6	2	no	—
1218	C₅×D₄	—	6	2	no	—
1219	C₅×D₄	—	12	1	no	—
1220	C₅×D₄	—	12	1	no	—
1221	C₅×D₄	—	12	1	no	—
1222	C₅×D₄	—	12	1	no	—
1223	C₅×D₄	—	12	1	no	—
1224	C₅×D₄	—	12	1	no	—
1225	C₅×D₄	—	12	1	no	—
1226	C₅×D₄	—	12	1	no	—
1227	C₅×D₄	—	12	1	no	—
1228	C₂×C₄×C₅	—	2	2	no	—
1229	C₂×C₄×C₅	—	2	2	no	—
1230	C₂×C₄×C₅	—	2	2	no	—
1231	C₂×C₄×C₅	—	3	1	no	—
1232	C₂×C₄×C₅	—	3	4	no	—
1233	C₂×C₄×C₅	—	3	1	no	—
1234	C₂×C₄×C₅	—	3	1	no	—
1235	C₂×C₄×C₅	—	3	1	no	—
1236	C₂×C₄×C₅	—	3	1	no	—
1237	C₂×C₄×C₅	—	3	1	no	—
1238	C₂×C₄×C₅	—	3	1	no	—
1239	C₂×C₄×C₅	—	3	1	no	—
1240	C₂×C₄×C₅	—	3	1	no	—
1241	C₂×C₄×C₅	—	3	1	no	—
1242	C₂×C₄×C₅	—	3	1	no	—
1243	C₂×C₄×C₅	—	3	1	no	—
1244	C₂×C₄×C₅	—	4	1	no	—
1245	C₂×C₄×C₅	—	4	1	no	—
1246	C₂×C₄×C₅	—	6	2	no	—
1247	C₂×C₄×C₅	—	6	2	no	—
1248	C₂×C₄×C₅	—	6	2	no	—
1249	C₂×C₄×C₅	—	6	2	no	—
1250	C₂×C₄×C₅	—	6	2	no	—
1251	C₂×C₄×C₅	—	6	2	no	—
1252	C₂×C₄×C₅	—	12	1	no	—
1253	C₂×C₄×C₅	—	12	1	no	—
1254	C₂×C₄×C₅	—	12	1	no	—
1255	C₂×C₄×C₅	—	12	1	no	—
1256	C₂×C₄×C₅	—	12	1	no	—
1257	C₂×C₄×C₅	—	12	1	no	—
1258	C₂×C₄×C₅	—	12	1	no	—
1259	C₂×C₄×C₅	—	12	1	no	—
1260	C₂×C₄×C₅	—	12	1	no	—
1261	C₂×C₄×C₅	—	12	1	no	—
1262	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
1263	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
1264	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
1265	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
1266	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
1267	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
1268	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
1269	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
1270	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
1271	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
1272	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
1273	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
1274	C₂×#41	—	3	1	no	—
1275	C₂×#41	—	3	1	no	—
1276	C₂³×C₄	—	3	1	no	—
1277	C₄⋊Q₈	—	3	1	no	—
1278	C₄⋊Q₈	—	3	1	no	—
1279	C₄⋊Q₈	—	3	1	no	—
1280	#127	—	3	1	no	—
1281	#126	—	3	1	no	—
1282	#126	—	3	1	no	—
1283	#126	—	3	1	no	—
1284	#126	—	3	1	no	—
1285	#126	—	3	1	no	—
1286	#126	—	3	1	no	—
1287	#126	—	3	1	no	—
1288	#126	—	3	1	no	—
1289	#126	—	3	1	no	—
1290	#126	—	3	1	no	—
1291	#126	—	3	1	no	—
1292	#126	—	3	1	no	—
1293	#126	—	3	1	no	—
1294	#126	—	3	1	no	—
1295	#126	C₂×C₅×D₃	1	1	yes	characteristic
1296	#126	C₂×C₅×D₃	1	1	yes	characteristic, complemented
1297	#125	—	3	1	no	—
1298	#125	—	3	1	no	—
1299	#125	—	3	1	no	—
1300	#125	—	3	1	no	—
1301	#125	—	3	1	no	—
1302	#125	—	3	1	no	—
1303	#125	—	3	1	no	—
1304	#125	—	3	1	no	—
1305	#125	—	3	1	no	—
1306	#125	C₂×C₅×D₃	1	1	yes	characteristic, complemented
1307	#124	—	3	1	no	—
1308	#124	—	3	1	no	—
1309	#124	—	3	1	no	—
1310	#124	—	3	1	no	—
1311	#124	—	3	1	no	—
1312	#124	—	3	1	no	—
1313	#124	—	3	1	no	—
1314	#124	—	3	1	no	—
1315	#124	—	3	1	no	—
1316	#124	C₂×C₅×D₃	1	1	yes	characteristic
1317	#123	—	3	1	no	—
1318	#123	—	3	1	no	—
1319	#123	—	3	1	no	—
1320	#123	—	3	1	no	—
1321	#123	—	3	1	no	—
1322	#123	—	3	1	no	—
1323	#123	—	3	1	no	—
1324	#123	—	3	1	no	—
1325	#123	—	3	1	no	—
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	C₂×C₅×D₃	1	1	yes	characteristic
1336	#123	C₂×C₅×D₃	1	1	yes	characteristic, complemented
1337	C₂²⋊Q₈	—	3	1	no	—
1338	C₂²⋊Q₈	—	3	1	no	—
1339	C₂²⋊Q₈	—	3	1	no	—
1340	C₂²⋊Q₈	—	3	1	no	—
1341	C₂²⋊Q₈	—	3	1	no	—
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	C₂×C₅×D₃	1	1	yes	characteristic, complemented
1353	#121	—	3	1	no	—
1354	#121	—	3	1	no	—
1355	#121	—	3	1	no	—
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	—	3	1	no	—
1366	#121	—	3	1	no	—
1367	#121	—	3	1	no	—
1368	#121	C₂×C₅×D₃	1	1	yes	characteristic
1369	#120	—	3	1	no	—
1370	#120	—	3	1	no	—
1371	#120	—	3	1	no	—
1372	#120	—	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	—	3	1	no	—
1378	C₄×Q₈	—	3	1	no	—
1379	C₄×Q₈	—	3	1	no	—
1380	C₄×Q₈	C₂×C₅×D₃	1	1	yes	characteristic, complemented
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	C₂×C₅×D₃	1	1	yes	characteristic
1403	C₄×D₄	C₂×C₅×D₃	1	1	yes	characteristic
1404	C₄×D₄	C₂×C₅×D₃	1	1	yes	characteristic, complemented
1405	#117	—	3	1	no	—
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	C₂×C₅×D₃	1	1	yes	characteristic
1418	#117	C₂×C₅×D₃	1	1	yes	characteristic, complemented
1419	C₂×C₄⋊C₄	—	3	1	no	—
1420	C₂×C₄⋊C₄	—	3	1	no	—
1421	C₂×C₂²⋊C₄	—	3	1	no	—
1422	C₂×C₂²⋊C₄	—	3	1	no	—
1423	C₂×C₄²	—	3	1	no	—
1424	C₂×C₄²	—	3	1	no	—
1425	C₂×C₄²	—	3	1	no	—
1426	C₂×C₄²	—	3	1	no	—
1427	C₂×C₄²	—	3	1	no	—
1428	C₂×C₄²	C₂×C₅×D₃	1	1	yes	characteristic, complemented
1429	C₂×C₃×C₅	—	4	1	no	—
1430	C₂×C₃×C₅	—	4	1	no	—
1431	C₂×C₃×C₅	—	4	1	no	—
1432	C₂×C₃×C₅	C₂²×#41	1	1	yes	characteristic
1433	C₂×C₃×C₅	#585	1	1	yes	characteristic
1434	C₂×C₃×C₅	#585	1	1	yes	characteristic
1435	C₅×D₃	—	2	2	no	—
1436	C₅×D₃	—	4	1	no	—
1437	C₅×D₃	—	4	1	no	—
1438	C₅×D₃	—	4	1	no	—
1439	C₂³×C₃	C₂⁴×C₅	1	1	yes	characteristic
1440	C₂³×C₃	C₂⁴×C₅	1	1	yes	characteristic
1441	C₂³×C₃	C₂⁴×C₅	1	1	yes	characteristic
1442	C₂²×D₃	—	2	2	no	—
1443	C₂²×D₃	—	4	1	no	—
1444	C₂²×D₃	—	4	1	no	—
1445	C₂²×D₃	C₂⁴×C₅	1	1	yes	characteristic
1446	C₂²×D₃	C₂⁴×C₅	1	1	yes	characteristic
1447	C₂²×D₃	C₂⁴×C₅	1	1	yes	characteristic
1448	C₂²×D₃	C₂⁴×C₅	1	1	yes	characteristic
1449	C₃×Q₈	—	4	1	no	—
1450	C₃×D₄	—	4	1	no	—
1451	C₃×D₄	—	4	1	no	—
1452	C₃×D₄	—	4	1	no	—
1453	C₂×C₃×C₄	—	2	2	no	—
1454	C₂×C₃×C₄	—	2	2	no	—
1455	C₂×C₃×C₄	—	2	2	no	—
1456	C₂×C₃×C₄	—	4	1	no	—
1457	C₂×C₃×C₄	—	4	1	no	—
1458	C₂×C₃×C₄	C₂⁴×C₅	1	1	yes	characteristic
1459	C₂×C₃×C₄	C₂⁴×C₅	1	1	yes	characteristic
1460	C₂×C₃×C₄	C₂⁴×C₅	1	1	yes	characteristic
1461	C₂×C₃×C₄	C₂⁴×C₅	1	1	yes	characteristic
1462	C₂×C₃×C₄	C₂⁴×C₅	1	1	yes	characteristic
1463	C₂×C₃×C₄	C₂⁴×C₅	1	1	yes	characteristic
1464	C₂×C₃×C₄	C₂⁴×C₅	1	1	yes	characteristic
1465	C₂×C₃×C₄	C₂⁴×C₅	1	1	yes	characteristic
1466	C₂×C₃×C₄	C₂⁴×C₅	1	1	yes	characteristic
1467	C₂×C₃×C₄	C₂⁴×C₅	1	1	yes	characteristic
1468	C₂×C₃×C₄	C₂⁴×C₅	1	1	yes	characteristic
1469	C₂×C₃×C₄	C₂⁴×C₅	1	1	yes	characteristic
1470	#67	—	2	2	no	—
1471	#67	—	2	2	no	—
1472	#67	—	2	2	no	—
1473	#67	—	2	2	no	—
1474	#67	—	4	1	no	—
1475	#67	—	4	1	no	—
1476	#67	—	4	1	no	—
1477	#67	—	4	1	no	—
1478	#67	—	4	1	no	—
1479	#67	—	4	1	no	—
1480	C₂×Dic₃	—	2	2	no	—
1481	C₂×Dic₃	—	4	1	no	—
1482	C₂×Dic₃	—	4	1	no	—
1483	C₂×Dic₃	C₂⁴×C₅	1	1	yes	characteristic
1484	C₂×Dic₃	C₂⁴×C₅	1	1	yes	characteristic
1485	C₂×Dic₃	C₂⁴×C₅	1	1	yes	characteristic
1486	C₂×Dic₃	C₂⁴×C₅	1	1	yes	characteristic
1487	C₂×Dic₃	C₂⁴×C₅	1	1	yes	characteristic
1488	C₂×Dic₃	C₂⁴×C₅	1	1	yes	characteristic
1489	C₂×Dic₃	C₂⁴×C₅	1	1	yes	characteristic
1490	C₂×Dic₃	C₂⁴×C₅	1	1	yes	characteristic
1491	C₂×Dic₃	C₂⁴×C₅	1	1	yes	characteristic
1492	C₂×Dic₃	C₂⁴×C₅	1	1	yes	characteristic
1493	C₂×Dic₃	C₂⁴×C₅	1	1	yes	characteristic
1494	C₂×Dic₃	C₂⁴×C₅	1	1	yes	characteristic
1495	D₁₂	—	2	2	no	—
1496	D₁₂	—	2	2	no	—
1497	D₁₂	—	4	1	no	—
1498	D₁₂	—	4	1	no	—
1499	D₁₂	—	4	1	no	—
1500	C₄×D₃	—	2	2	no	—
1501	C₄×D₃	—	2	2	no	—
1502	C₄×D₃	—	2	2	no	—
1503	C₄×D₃	—	2	2	no	—
1504	C₄×D₃	—	2	2	no	—
1505	C₄×D₃	—	4	1	no	—
1506	C₄×D₃	—	4	1	no	—
1507	C₄×D₃	—	4	1	no	—
1508	C₄×D₃	—	4	1	no	—
1509	C₄×D₃	—	4	1	no	—
1510	C₄×D₃	—	4	1	no	—
1511	C₄×D₃	—	4	1	no	—
1512	C₄×D₃	—	4	1	no	—
1513	C₄×D₃	C₅×#41	1	4	yes	—
1514	Dic₆	—	2	2	no	—
1515	Dic₆	—	2	2	no	—
1516	Dic₆	—	4	1	no	—
1517	Dic₆	—	4	1	no	—
1518	Dic₆	—	4	1	no	—
1519	C₂²×C₅	—	2	1	no	—
1520	C₂²×C₅	—	2	1	no	—
1521	C₂²×C₅	—	2	1	no	—
1522	C₂²×C₅	—	2	1	no	—
1523	C₂²×C₅	—	2	1	no	—
1524	C₂²×C₅	—	2	1	no	—
1525	C₂²×C₅	—	2	1	no	—
1526	C₂²×C₅	—	2	1	no	—
1527	C₂²×C₅	—	2	1	no	—
1528	C₂²×C₅	—	3	2	no	—
1529	C₂²×C₅	—	6	1	no	—
1530	C₂²×C₅	—	6	1	no	—
1531	C₂²×C₅	—	6	1	no	—
1532	C₂²×C₅	—	6	1	no	—
1533	C₂²×C₅	—	6	1	no	—
1534	C₂²×C₅	—	6	1	no	—
1535	C₂²×C₅	—	6	1	no	—
1536	C₂²×C₅	—	6	1	no	—
1537	C₂²×C₅	—	6	1	no	—
1538	C₂²×C₅	—	6	1	no	—
1539	C₂²×C₅	—	6	1	no	—
1540	C₂²×C₅	—	12	4	no	—
1541	C₂²×C₅	C₂⁴×D₃	1	1	yes	characteristic
1542	C₄×C₅	—	2	1	no	—
1543	C₄×C₅	—	2	1	no	—
1544	C₄×C₅	—	2	1	no	—
1545	C₄×C₅	—	2	1	no	—
1546	C₄×C₅	—	2	1	no	—
1547	C₄×C₅	—	2	1	no	—
1548	C₄×C₅	—	2	1	no	—
1549	C₄×C₅	—	2	1	no	—
1550	C₄×C₅	—	2	1	no	—
1551	C₄×C₅	—	2	1	no	—
1552	C₄×C₅	—	2	1	no	—
1553	C₄×C₅	—	3	2	no	—
1554	C₄×C₅	—	6	1	no	—
1555	C₄×C₅	—	6	1	no	—
1556	C₄×C₅	—	6	1	no	—
1557	C₄×C₅	—	6	1	no	—
1558	C₄×C₅	—	6	1	no	—
1559	C₄×C₅	—	6	1	no	—
1560	C₄×C₅	—	6	1	no	—
1561	C₄×C₅	—	6	1	no	—
1562	C₄×C₅	—	6	1	no	—
1563	C₄×C₅	—	6	1	no	—
1564	C₄×C₅	—	6	1	no	—
1565	C₄×C₅	D₃×#41	1	2	yes	—
1566	C₂⁴	—	3	1	no	—
1567	#41	—	6	4	no	—
1568	#41	—	6	4	no	—
1569	C₂×Q₈	—	3	1	no	—
1570	C₂×Q₈	—	3	1	no	—
1571	C₂×Q₈	—	3	1	no	—
1572	C₂×Q₈	—	3	1	no	—
1573	C₂×Q₈	—	3	1	no	—
1574	C₂×Q₈	C₂²×C₅×D₃	1	1	yes	characteristic
1575	C₂×D₄	—	3	1	no	—
1576	C₂×D₄	—	3	1	no	—
1577	C₂×D₄	—	3	1	no	—
1578	C₂×D₄	—	3	1	no	—
1579	C₂×D₄	—	3	1	no	—
1580	C₂×D₄	—	3	1	no	—
1581	C₂×D₄	—	3	1	no	—
1582	C₂×D₄	—	3	1	no	—
1583	C₂×D₄	—	3	1	no	—
1584	C₂×D₄	—	3	1	no	—
1585	C₂×D₄	—	3	1	no	—
1586	C₂×D₄	—	3	1	no	—
1587	C₂×D₄	—	3	1	no	—
1588	C₂×D₄	—	3	1	no	—
1589	C₂×D₄	—	3	1	no	—
1590	C₂×D₄	C₂²×C₅×D₃	1	1	yes	characteristic
1591	C₂×D₄	C₂²×C₅×D₃	1	1	yes	characteristic
1592	C₂×D₄	C₂²×C₅×D₃	1	1	yes	characteristic
1593	C₂²×C₄	—	3	1	no	—
1594	C₂²×C₄	—	3	1	no	—
1595	C₂²×C₄	—	3	1	no	—
1596	C₂²×C₄	—	3	1	no	—
1597	C₂²×C₄	—	3	1	no	—
1598	C₂²×C₄	—	3	1	no	—
1599	C₂²×C₄	—	3	1	no	—
1600	C₂²×C₄	—	3	1	no	—
1601	C₂²×C₄	—	3	1	no	—
1602	C₂²×C₄	—	3	1	no	—
1603	C₂²×C₄	—	3	1	no	—
1604	C₂²×C₄	—	3	1	no	—
1605	C₂²×C₄	—	3	1	no	—
1606	C₂²×C₄	—	3	1	no	—
1607	C₂²×C₄	—	3	1	no	—
1608	C₂²×C₄	—	3	1	no	—
1609	C₂²×C₄	—	3	1	no	—
1610	C₂²×C₄	—	6	4	no	—
1611	C₂²×C₄	C₂²×C₅×D₃	1	1	yes	characteristic
1612	C₂²×C₄	C₂²×C₅×D₃	1	1	yes	characteristic
1613	C₂²×C₄	C₂²×C₅×D₃	1	1	yes	characteristic
1614	C₂²×C₄	C₂²×C₅×D₃	1	1	yes	characteristic
1615	C₂²×C₄	C₂²×C₅×D₃	1	1	yes	characteristic
1616	C₄⋊C₄	—	3	1	no	—
1617	C₄⋊C₄	—	3	1	no	—
1618	C₄⋊C₄	—	3	1	no	—
1619	C₄⋊C₄	—	3	1	no	—
1620	C₄⋊C₄	—	3	1	no	—
1621	C₄⋊C₄	—	3	1	no	—
1622	C₄⋊C₄	—	3	1	no	—
1623	C₄⋊C₄	—	3	1	no	—
1624	C₄⋊C₄	—	3	1	no	—
1625	C₄⋊C₄	—	3	1	no	—
1626	C₄⋊C₄	—	3	1	no	—
1627	C₄⋊C₄	—	3	1	no	—
1628	C₄⋊C₄	—	3	1	no	—
1629	C₄⋊C₄	—	3	1	no	—
1630	C₄⋊C₄	—	3	1	no	—
1631	C₄⋊C₄	—	3	1	no	—
1632	C₄⋊C₄	—	3	1	no	—
1633	C₄⋊C₄	—	3	1	no	—
1634	C₄⋊C₄	—	3	1	no	—
1635	C₄⋊C₄	—	3	1	no	—
1636	C₄⋊C₄	—	3	1	no	—
1637	C₄⋊C₄	—	3	1	no	—
1638	C₄⋊C₄	—	3	1	no	—
1639	C₄⋊C₄	—	3	1	no	—
1640	C₄⋊C₄	—	3	1	no	—
1641	C₄⋊C₄	—	3	1	no	—
1642	C₄⋊C₄	—	3	1	no	—
1643	C₄⋊C₄	—	3	1	no	—
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	C₂²×C₅×D₃	1	1	yes	characteristic
1651	C₄⋊C₄	C₂²×C₅×D₃	1	1	yes	characteristic
1652	C₄⋊C₄	C₂²×C₅×D₃	1	1	yes	characteristic
1653	C₄⋊C₄	C₂²×C₅×D₃	1	1	yes	characteristic
1654	C₄⋊C₄	C₂²×C₅×D₃	1	1	yes	characteristic
1655	C₄⋊C₄	C₂²×C₅×D₃	1	1	yes	characteristic
1656	C₄⋊C₄	C₂²×C₅×D₃	1	1	yes	characteristic
1657	C₄⋊C₄	C₂²×C₅×D₃	1	1	yes	characteristic
1658	C₄⋊C₄	C₂²×C₅×D₃	1	1	yes	characteristic
1659	C₄⋊C₄	C₂²×C₅×D₃	1	1	yes	characteristic
1660	C₂²⋊C₄	—	3	1	no	—
1661	C₂²⋊C₄	—	3	1	no	—
1662	C₂²⋊C₄	—	3	1	no	—
1663	C₂²⋊C₄	—	3	1	no	—
1664	C₂²⋊C₄	—	3	1	no	—
1665	C₂²⋊C₄	—	3	1	no	—
1666	C₂²⋊C₄	—	3	1	no	—
1667	C₂²⋊C₄	—	3	1	no	—
1668	C₂²⋊C₄	—	3	1	no	—
1669	C₂²⋊C₄	—	3	1	no	—
1670	C₂²⋊C₄	—	3	1	no	—
1671	C₂²⋊C₄	—	3	1	no	—
1672	C₂²⋊C₄	—	3	1	no	—
1673	C₂²⋊C₄	—	3	1	no	—
1674	C₂²⋊C₄	—	3	1	no	—
1675	C₂²⋊C₄	—	3	1	no	—
1676	C₂²⋊C₄	—	3	1	no	—
1677	C₂²⋊C₄	—	3	1	no	—
1678	C₂²⋊C₄	—	3	1	no	—
1679	C₂²⋊C₄	—	3	1	no	—
1680	C₂²⋊C₄	—	3	1	no	—
1681	C₂²⋊C₄	—	3	1	no	—
1682	C₂²⋊C₄	—	3	1	no	—
1683	C₂²⋊C₄	—	3	1	no	—
1684	C₂²⋊C₄	—	3	1	no	—
1685	C₂²⋊C₄	—	3	1	no	—
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	C₂²×C₅×D₃	1	1	yes	characteristic
1695	C₂²⋊C₄	C₂²×C₅×D₃	1	1	yes	characteristic
1696	C₂²⋊C₄	C₂²×C₅×D₃	1	1	yes	characteristic
1697	C₂²⋊C₄	C₂²×C₅×D₃	1	1	yes	characteristic
1698	C₂²⋊C₄	C₂²×C₅×D₃	1	1	yes	characteristic
1699	C₂²⋊C₄	C₂²×C₅×D₃	1	1	yes	characteristic
1700	C₂²⋊C₄	C₂²×C₅×D₃	1	1	yes	characteristic
1701	C₂²⋊C₄	C₂²×C₅×D₃	1	1	yes	characteristic
1702	C₂²⋊C₄	C₂²×C₅×D₃	1	1	yes	characteristic
1703	C₂²⋊C₄	C₂²×C₅×D₃	1	1	yes	characteristic
1704	C₄²	—	3	1	no	—
1705	C₄²	—	3	1	no	—
1706	C₄²	—	3	1	no	—
1707	C₄²	—	3	1	no	—
1708	C₄²	—	3	1	no	—
1709	C₄²	—	3	1	no	—
1710	C₄²	—	3	1	no	—
1711	C₄²	—	3	1	no	—
1712	C₄²	—	3	1	no	—
1713	C₄²	—	3	1	no	—
1714	C₄²	—	3	1	no	—
1715	C₄²	—	3	1	no	—
1716	C₄²	—	3	1	no	—
1717	C₄²	—	3	1	no	—
1718	C₄²	C₂²×C₅×D₃	1	1	yes	characteristic
1719	C₄²	C₂²×C₅×D₃	1	1	yes	characteristic
1720	C₄²	C₂²×C₅×D₃	1	1	yes	characteristic
1721	C₄²	C₂²×C₅×D₃	1	1	yes	characteristic
1722	C₄²	C₂²×C₅×D₃	1	1	yes	characteristic
1723	C₄²	C₂²×C₅×D₃	1	1	yes	characteristic
1724	C₃×C₅	#3455	1	1	yes	characteristic, complemented, Hall
1725	C₂²×C₃	—	2	1	no	—
1726	C₂²×C₃	—	2	1	no	—
1727	C₂²×C₃	—	2	1	no	—
1728	C₂²×C₃	—	2	1	no	—
1729	C₂²×C₃	—	2	1	no	—
1730	C₂²×C₃	—	2	1	no	—
1731	C₂²×C₃	—	2	1	no	—
1732	C₂²×C₃	—	2	1	no	—
1733	C₂²×C₃	—	2	1	no	—
1734	C₂²×C₃	C₂⁵×C₅	1	1	yes	characteristic
1735	C₂×D₃	—	2	1	no	—
1736	C₂×D₃	—	2	1	no	—
1737	C₂×D₃	—	2	1	no	—
1738	C₂×D₃	—	2	1	no	—
1739	C₂×D₃	—	2	1	no	—
1740	C₂×D₃	—	2	1	no	—
1741	C₂×D₃	—	2	1	no	—
1742	C₂×D₃	—	2	1	no	—
1743	C₂×D₃	—	2	1	no	—
1744	C₂×D₃	—	2	1	no	—
1745	C₂×D₃	—	2	1	no	—
1746	C₂×D₃	—	4	4	no	—
1747	C₂×D₃	C₂×C₅×#41	1	2	yes	—
1748	C₃×C₄	—	2	1	no	—
1749	C₃×C₄	—	2	1	no	—
1750	C₃×C₄	—	2	1	no	—
1751	C₃×C₄	—	2	1	no	—
1752	C₃×C₄	—	2	1	no	—
1753	C₃×C₄	—	2	1	no	—
1754	C₃×C₄	—	2	1	no	—
1755	C₃×C₄	—	2	1	no	—
1756	C₃×C₄	—	2	1	no	—
1757	C₃×C₄	—	2	1	no	—
1758	C₃×C₄	—	2	1	no	—
1759	C₃×C₄	C₂×C₅×#41	1	2	yes	—
1760	Dic₃	—	2	1	no	—
1761	Dic₃	—	2	1	no	—
1762	Dic₃	—	2	1	no	—
1763	Dic₃	—	2	1	no	—
1764	Dic₃	—	2	1	no	—
1765	Dic₃	—	2	1	no	—
1766	Dic₃	—	2	1	no	—
1767	Dic₃	—	2	1	no	—
1768	Dic₃	—	2	1	no	—
1769	Dic₃	—	2	1	no	—
1770	Dic₃	—	2	1	no	—
1771	Dic₃	C₂×C₅×#41	1	2	yes	—
1772	C₂×C₅	—	4	1	no	—
1773	C₂×C₅	—	4	1	no	—
1774	C₂×C₅	—	4	1	no	—
1775	C₂×C₅	—	6	2	no	—
1776	C₂×C₅	—	12	1	no	—
1777	C₂×C₅	—	12	1	no	—
1778	C₂×C₅	—	12	1	no	—
1779	C₂×C₅	C₂×D₃×#41	1	1	yes	characteristic
1780	C₂×C₅	#5964	1	1	yes	characteristic
1781	C₂×C₅	#5964	1	1	yes	characteristic
1782	C₂³	—	3	1	no	—
1783	C₂³	—	3	1	no	—
1784	C₂³	—	3	1	no	—
1785	C₂³	—	3	1	no	—
1786	C₂³	—	6	2	no	—
1787	C₂³	—	12	1	no	—
1788	C₂³	—	12	1	no	—
1789	C₂³	C₂³×C₅×D₃	1	1	yes	characteristic
1790	C₂³	C₂³×C₅×D₃	1	1	yes	characteristic
1791	C₂³	C₂³×C₅×D₃	1	1	yes	characteristic
1792	Q₈	—	4	1	no	—
1793	Q₈	—	6	2	no	—
1794	Q₈	—	6	2	no	—
1795	Q₈	—	12	1	no	—
1796	Q₈	—	12	1	no	—
1797	Q₈	—	12	1	no	—
1798	D₄	—	4	1	no	—
1799	D₄	—	4	1	no	—
1800	D₄	—	4	1	no	—
1801	D₄	—	6	2	no	—
1802	D₄	—	6	2	no	—
1803	D₄	—	6	2	no	—
1804	D₄	—	6	2	no	—
1805	D₄	—	6	2	no	—
1806	D₄	—	6	2	no	—
1807	D₄	—	12	1	no	—
1808	D₄	—	12	1	no	—
1809	D₄	—	12	1	no	—
1810	D₄	—	12	1	no	—
1811	D₄	—	12	1	no	—
1812	D₄	—	12	1	no	—
1813	D₄	—	12	1	no	—
1814	D₄	—	12	1	no	—
1815	D₄	—	12	1	no	—
1816	C₂×C₄	—	2	2	no	—
1817	C₂×C₄	—	2	2	no	—
1818	C₂×C₄	—	2	2	no	—
1819	C₂×C₄	—	3	1	no	—
1820	C₂×C₄	—	3	4	no	—
1821	C₂×C₄	—	3	1	no	—
1822	C₂×C₄	—	3	1	no	—
1823	C₂×C₄	—	3	1	no	—
1824	C₂×C₄	—	3	1	no	—
1825	C₂×C₄	—	3	1	no	—
1826	C₂×C₄	—	3	1	no	—
1827	C₂×C₄	—	3	1	no	—
1828	C₂×C₄	—	3	1	no	—
1829	C₂×C₄	—	3	1	no	—
1830	C₂×C₄	—	3	1	no	—
1831	C₂×C₄	—	3	1	no	—
1832	C₂×C₄	—	4	1	no	—
1833	C₂×C₄	—	4	1	no	—
1834	C₂×C₄	—	6	2	no	—
1835	C₂×C₄	—	6	2	no	—
1836	C₂×C₄	—	6	2	no	—
1837	C₂×C₄	—	6	2	no	—
1838	C₂×C₄	—	6	2	no	—
1839	C₂×C₄	—	6	2	no	—
1840	C₂×C₄	—	12	1	no	—
1841	C₂×C₄	—	12	1	no	—
1842	C₂×C₄	—	12	1	no	—
1843	C₂×C₄	—	12	1	no	—
1844	C₂×C₄	—	12	1	no	—
1845	C₂×C₄	—	12	1	no	—
1846	C₂×C₄	—	12	1	no	—
1847	C₂×C₄	—	12	1	no	—
1848	C₂×C₄	—	12	1	no	—
1849	C₂×C₄	—	12	1	no	—
1850	C₂×C₄	C₂³×C₅×D₃	1	1	yes	characteristic
1851	C₂×C₄	C₂³×C₅×D₃	1	1	yes	characteristic
1852	C₂×C₄	C₂³×C₅×D₃	1	1	yes	characteristic
1853	C₂×C₄	C₂³×C₅×D₃	1	1	yes	characteristic
1854	C₂×C₄	C₂³×C₅×D₃	1	1	yes	characteristic
1855	C₂×C₄	C₂³×C₅×D₃	1	1	yes	characteristic
1856	C₂×C₄	C₂³×C₅×D₃	1	1	yes	characteristic
1857	C₂×C₄	C₂³×C₅×D₃	1	1	yes	characteristic
1858	C₂×C₄	C₂³×C₅×D₃	1	1	yes	characteristic
1859	C₂×C₄	C₂³×C₅×D₃	1	1	yes	characteristic
1860	C₂×C₄	C₂³×C₅×D₃	1	1	yes	characteristic
1861	C₂×C₄	C₂³×C₅×D₃	1	1	yes	characteristic
1862	C₂×C₃	—	4	1	no	—
1863	C₂×C₃	—	4	1	no	—
1864	C₂×C₃	—	4	1	no	—
1865	C₂×C₃	C₂²×C₅×#41	1	1	yes	characteristic
1866	C₂×C₃	C₅×#585	1	1	yes	characteristic
1867	C₂×C₃	C₅×#585	1	1	yes	characteristic
1868	D₃	—	2	2	no	—
1869	D₃	—	4	1	no	—
1870	D₃	—	4	1	no	—
1871	D₃	—	4	1	no	—
1872	C₅	#86146	1	1	yes	characteristic, direct product factor, Sylow
1873	C₂²	—	2	1	no	—
1874	C₂²	—	2	1	no	—
1875	C₂²	—	2	1	no	—
1876	C₂²	—	2	1	no	—
1877	C₂²	—	2	1	no	—
1878	C₂²	—	2	1	no	—
1879	C₂²	—	2	1	no	—
1880	C₂²	—	2	1	no	—
1881	C₂²	—	2	1	no	—
1882	C₂²	—	3	2	no	—
1883	C₂²	—	6	1	no	—
1884	C₂²	—	6	1	no	—
1885	C₂²	—	6	1	no	—
1886	C₂²	—	6	1	no	—
1887	C₂²	—	6	1	no	—
1888	C₂²	—	6	1	no	—
1889	C₂²	—	6	1	no	—
1890	C₂²	—	6	1	no	—
1891	C₂²	—	6	1	no	—
1892	C₂²	—	6	1	no	—
1893	C₂²	—	6	1	no	—
1894	C₂²	—	12	4	no	—
1895	C₂²	C₂⁴×C₅×D₃	1	1	yes	characteristic
1896	C₄	—	2	1	no	—
1897	C₄	—	2	1	no	—
1898	C₄	—	2	1	no	—
1899	C₄	—	2	1	no	—
1900	C₄	—	2	1	no	—
1901	C₄	—	2	1	no	—
1902	C₄	—	2	1	no	—
1903	C₄	—	2	1	no	—
1904	C₄	—	2	1	no	—
1905	C₄	—	2	1	no	—
1906	C₄	—	2	1	no	—
1907	C₄	—	3	2	no	—
1908	C₄	—	6	1	no	—
1909	C₄	—	6	1	no	—
1910	C₄	—	6	1	no	—
1911	C₄	—	6	1	no	—
1912	C₄	—	6	1	no	—
1913	C₄	—	6	1	no	—
1914	C₄	—	6	1	no	—
1915	C₄	—	6	1	no	—
1916	C₄	—	6	1	no	—
1917	C₄	—	6	1	no	—
1918	C₄	—	6	1	no	—
1919	C₄	C₅×D₃×#41	1	2	yes	—
1920	C₃	C₅×#3455	1	1	yes	characteristic, complemented, Sylow
1921	C₂	—	4	1	no	—
1922	C₂	—	4	1	no	—
1923	C₂	—	4	1	no	—
1924	C₂	—	6	2	no	—
1925	C₂	—	12	1	no	—
1926	C₂	—	12	1	no	—
1927	C₂	—	12	1	no	—
1928	C₂	C₂×C₅×D₃×#41	1	1	yes	characteristic
1929	C₂	C₅×#5964	1	1	yes	characteristic
1930	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×#3455
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×#5710	C₂	semidirect
3. C₅×#5707	C₂	semidirect
4. C₅×#5704	C₂	semidirect
5. C₅×#5701	C₂	semidirect
6. C₅×#5696	C₂	semidirect
7. C₅×#5692	C₂	semidirect
8. C₅×#5678	C₂	semidirect
9. C₅×#5669	C₂	semidirect
10. C₅×#5663	C₂	semidirect
11. C₅×#5662	C₂	semidirect
12. C₅×#5660	C₂	semidirect
13. C₅×#5657	C₂	semidirect
14. C₅×#5640	C₂	semidirect
15. C₅×#5638	C₂	semidirect
16. C₅×#5615	C₂	semidirect
17. C₅×#5613	C₂	semidirect
18. C₅×#5580	C₂	semidirect
19. C₅×#5578	C₂	semidirect
20. C₅×#5557	C₂	semidirect
21. C₅×#5548	C₂	semidirect
22. C₅×#5547	C₂	semidirect
23. C₅×#5547	C₂	semidirect
24. C₅×#5538	C₂	semidirect
25. C₅×#5538	C₂	semidirect
26. C₅×#5528	C₂	semidirect
27. C₅×#5528	C₂	semidirect
28. C₅×#5522	C₂	semidirect
29. C₅×D₃×#117	C₂	semidirect
30. C₅×#5479	C₂	semidirect
31. C₄×C₅×#235	C₂	semidirect
37. C₃×C₅×#126	C₂²	semidirect
38. C₃×C₅×#125	C₂²	semidirect
41. C₃×C₅×#123	C₂²	semidirect
42. C₃×C₅×C₂²⋊Q₈	C₂²	semidirect
44. C₃×C₄×C₅×Q₈	C₂²	semidirect
47. C₃×C₄×C₅×D₄	C₂²	semidirect
49. C₃×C₅×#117	C₂²	semidirect
50. C₂×C₃×C₄²×C₅	C₂²	semidirect
53. C₅×#946	C₂²	semidirect
54. C₅×#944	C₂²	semidirect
55. C₅×#940	C₂²	semidirect
66. C₅×#935	C₂²	semidirect
69. C₅×#929	C₂²	semidirect
76. C₄×C₅×#67	C₂²	semidirect
77. C₄×C₅×#67	C₂²	semidirect
78. C₄×C₅×#67	C₂²	semidirect
79. C₄×C₅×#67	C₂²	semidirect
81. C₅×#926	C₂²	semidirect
82. C₅×#924	C₂²	semidirect
83. C₂×C₄×C₅×Dic₃	C₂²	semidirect
87. C₅×#898	C₂²	semidirect
88. C₅×#898	C₂²	semidirect
89. C₅×#898	C₂²	semidirect
91. C₅×#897	C₂²	semidirect
96. C₅×#896	C₂²	semidirect
97. C₅×#896	C₂²	semidirect
104. C₅×#894	C₂²	semidirect
105. C₅×#894	C₂²	semidirect
112. C₅×#890	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×#888	C₂²	semidirect
122. C₅×#887	C₂²	semidirect
123. C₅×#887	C₂²	semidirect
125. C₅×#886	C₂²	semidirect
130. C₅×#885	C₂²	semidirect
131. C₅×#885	C₂²	semidirect
142. C₅×#883	C₂²	semidirect
143. C₅×#883	C₂²	semidirect
148. C₅×#67⋊C₄	C₂²	semidirect
149. C₅×#67⋊C₄	C₂²	semidirect
155. C₅×#879	C₂²	semidirect
156. C₅×#879	C₂²	semidirect
157. C₅×#879	C₂²	semidirect
160. C₅×#878	C₂²	semidirect
161. C₅×#878	C₂²	semidirect
165. C₅×#876	C₂²	semidirect
171. C₄×C₅×D₁₂	C₂²	semidirect
176. C₅×#872	C₂²	semidirect
177. C₅×#872	C₂²	semidirect
180. C₄²×C₅×D₃	C₂²	semidirect
181. C₄²×C₅×D₃	C₂²	semidirect
182. C₅×#870	C₂²	semidirect
183. C₄×C₅×Dic₆	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. #86146	C₅	direct (N × H)
214. C₅×#529	D₃	semidirect
378. C₃×#529	C₂×C₅	semidirect
379. #5710	C₂×C₅	semidirect
380. #5707	C₂×C₅	semidirect
381. #5704	C₂×C₅	semidirect
382. #5701	C₂×C₅	semidirect
383. #5696	C₂×C₅	semidirect
384. #5692	C₂×C₅	semidirect
385. #5678	C₂×C₅	semidirect
386. #5669	C₂×C₅	semidirect
387. #5663	C₂×C₅	semidirect
388. #5662	C₂×C₅	semidirect
389. #5660	C₂×C₅	semidirect
390. #5657	C₂×C₅	semidirect
391. #5640	C₂×C₅	semidirect
392. #5638	C₂×C₅	semidirect
393. #5615	C₂×C₅	semidirect
394. #5613	C₂×C₅	semidirect
395. #5580	C₂×C₅	semidirect
396. #5578	C₂×C₅	semidirect
397. #5557	C₂×C₅	semidirect
398. #5548	C₂×C₅	semidirect
399. #5547	C₂×C₅	semidirect
400. #5547	C₂×C₅	semidirect
401. #5538	C₂×C₅	semidirect
402. #5538	C₂×C₅	semidirect
403. #5528	C₂×C₅	semidirect
404. #5528	C₂×C₅	semidirect
405. #5522	C₂×C₅	semidirect
406. D₃×#117	C₂×C₅	semidirect
407. #5479	C₂×C₅	semidirect
408. C₄×#235	C₂×C₅	semidirect
431. C₅×#126	C₂×D₃	semidirect
441. C₅×#125	C₂×D₃	semidirect
471. C₅×#123	C₂×D₃	semidirect
487. C₅×C₂²⋊Q₈	C₂×D₃	semidirect
515. C₄×C₅×Q₈	C₂×D₃	semidirect
539. C₄×C₅×D₄	C₂×D₃	semidirect
553. C₅×#117	C₂×D₃	semidirect
563. C₂×C₄²×C₅	C₂×D₃	semidirect
649. C₃×#126	C₂²×C₅	semidirect
650. C₃×#125	C₂²×C₅	semidirect
653. C₃×#123	C₂²×C₅	semidirect
654. C₃×C₂²⋊Q₈	C₂²×C₅	semidirect
656. C₃×C₄×Q₈	C₂²×C₅	semidirect
659. C₃×C₄×D₄	C₂²×C₅	semidirect
661. C₃×#117	C₂²×C₅	semidirect
662. C₂×C₃×C₄²	C₂²×C₅	semidirect
665. #946	C₂²×C₅	semidirect
666. #944	C₂²×C₅	semidirect
667. #940	C₂²×C₅	semidirect
678. #935	C₂²×C₅	semidirect
681. #929	C₂²×C₅	semidirect
688. C₄×#67	C₂²×C₅	semidirect
689. C₄×#67	C₂²×C₅	semidirect
690. C₄×#67	C₂²×C₅	semidirect
691. C₄×#67	C₂²×C₅	semidirect
693. #926	C₂²×C₅	semidirect
694. #924	C₂²×C₅	semidirect
695. C₂×C₄×Dic₃	C₂²×C₅	semidirect
699. #898	C₂²×C₅	semidirect
700. #898	C₂²×C₅	semidirect
701. #898	C₂²×C₅	semidirect
703. #897	C₂²×C₅	semidirect
708. #896	C₂²×C₅	semidirect
709. #896	C₂²×C₅	semidirect
716. #894	C₂²×C₅	semidirect
717. #894	C₂²×C₅	semidirect
724. #890	C₂²×C₅	semidirect
725. #890	C₂²×C₅	semidirect
726. #889	C₂²×C₅	semidirect
727. #889	C₂²×C₅	semidirect
728. #889	C₂²×C₅	semidirect
729. #889	C₂²×C₅	semidirect
730. #889	C₂²×C₅	semidirect
731. #889	C₂²×C₅	semidirect
732. #888	C₂²×C₅	semidirect
733. #888	C₂²×C₅	semidirect
734. #887	C₂²×C₅	semidirect
735. #887	C₂²×C₅	semidirect
737. #886	C₂²×C₅	semidirect
742. #885	C₂²×C₅	semidirect
743. #885	C₂²×C₅	semidirect
754. #883	C₂²×C₅	semidirect
755. #883	C₂²×C₅	semidirect
760. #67⋊C₄	C₂²×C₅	semidirect
761. #67⋊C₄	C₂²×C₅	semidirect
767. #879	C₂²×C₅	semidirect
768. #879	C₂²×C₅	semidirect
769. #879	C₂²×C₅	semidirect
772. #878	C₂²×C₅	semidirect
773. #878	C₂²×C₅	semidirect
777. #876	C₂²×C₅	semidirect
783. C₄×D₁₂	C₂²×C₅	semidirect
788. #872	C₂²×C₅	semidirect
789. #872	C₂²×C₅	semidirect
792. C₄²×D₃	C₂²×C₅	semidirect
793. C₄²×D₃	C₂²×C₅	semidirect
794. #870	C₂²×C₅	semidirect
795. C₄×Dic₆	C₂²×C₅	semidirect
796. C₄×Dic₆	C₂²×C₅	semidirect
797. C₄×Dic₆	C₂²×C₅	semidirect
798. C₄×Dic₆	C₂²×C₅	semidirect
799. C₄×Dic₆	C₂²×C₅	semidirect
983. #529	C₅×D₃	semidirect
1296. #126	C₂×C₅×D₃	semidirect
1306. #125	C₂×C₅×D₃	semidirect
1336. #123	C₂×C₅×D₃	semidirect
1352. C₂²⋊Q₈	C₂×C₅×D₃	semidirect
1380. C₄×Q₈	C₂×C₅×D₃	semidirect
1404. C₄×D₄	C₂×C₅×D₃	semidirect
1418. #117	C₂×C₅×D₃	semidirect
1428. C₂×C₄²	C₂×C₅×D₃	semidirect
1724. C₃×C₅	#3455	semidirect
1872. C₅	#86146	direct (N × H)
1920. C₃	C₅×#3455	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×#5710	2
C₅×#5707	2
C₅×#5704	2
C₅×#5701	2
C₅×#5696	2
C₅×#5692	2
C₅×#5678	2
C₅×#5669	2
C₅×#5663	2
C₅×#5662	2
C₅×#5660	2
C₅×#5657	2
C₅×#5640	2
C₅×#5638	2
C₅×#5615	2
C₅×#5613	2
C₅×#5580	2
C₅×#5578	2
C₅×#5557	2
C₅×#5548	2
C₅×#5547	2
C₅×#5538	2
C₅×#5528	2
C₅×#5522	2
C₅×D₃×#117	2
C₅×#5479	2
C₄×C₅×#235	2
C₅×#3455	3
#86146	5

Subgroups — C5×#86146 #14481496

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₅×#86146 #14481496