Subgroups — C₅×D₃×#553 #14483589

Order 1920.

2504 conjugacy classes of subgroups.

The subgroup lattice has 1412 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×C₅×#553	C₂	1	1	yes	maximal, characteristic, complemented
2	C₅×#5709	C₂	1	2	yes	maximal, complemented
3	C₅×D₃×#126	C₂	1	2	yes	maximal, complemented
4	C₅×#5695	C₂	1	1	yes	maximal, characteristic, complemented
5	C₅×D₃×#125	C₂	1	1	yes	maximal, characteristic, complemented
6	C₅×#5661	C₂	1	2	yes	maximal, complemented
7	C₅×D₃×#123	C₂	1	2	yes	maximal, complemented
8	C₅×#5618	C₂	1	1	yes	maximal, characteristic, complemented
9	C₅×#5614	C₂	1	1	yes	maximal, characteristic, complemented
10	C₅×D₃×#121	C₂	1	1	yes	maximal, characteristic, complemented
11	C₅×D₃×#121	C₂	1	2	yes	maximal, complemented
12	C₅×D₃×#121	C₂	1	1	yes	maximal, characteristic, complemented
13	C₅×#5601	C₂	1	2	yes	maximal, complemented
14	C₅×#5565	C₂	1	1	yes	maximal, characteristic, complemented
15	C₅×#5558	C₂	1	1	yes	maximal, characteristic, complemented
16	C₄×C₅×D₃×D₄	C₂	1	1	yes	maximal, characteristic, complemented
17	C₄×C₅×D₃×D₄	C₂	1	1	yes	maximal, characteristic, complemented
18	C₄×C₅×D₃×D₄	C₂	1	2	yes	maximal, complemented
19	C₅×#5540	C₂	1	2	yes	maximal, complemented
20	C₅×#5530	C₂	1	1	yes	maximal, characteristic, complemented
21	C₅×D₃×#117	C₂	1	1	yes	maximal, characteristic, complemented
22	C₅×#5514	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×C₅×D₃×C₄⋊C₄	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₅×#553	—	3	1	no	maximal, Hall
25	C₂×C₅×D₃×D₄	C₂²	1	1	yes	characteristic
26	C₂×C₅×D₃×D₄	C₂²	1	2	yes	—
27	C₂×C₅×D₃×D₄	C₂²	1	1	yes	characteristic
28	C₂×C₅×D₃×D₄	C₂²	1	2	yes	—
29	C₂²×C₄×C₅×D₃	C₂²	1	1	yes	characteristic
30	C₂²×C₄×C₅×D₃	C₂²	1	1	yes	characteristic
31	C₂²×C₄×C₅×D₃	C₂²	1	2	yes	—
32	C₂²×C₄×C₅×D₃	C₂²	1	2	yes	—
33	C₃×C₅×#126	C₂²	1	2	yes	complemented
34	C₃×C₅×#125	C₂²	1	1	yes	characteristic, complemented
35	C₃×C₅×#123	C₂²	1	2	yes	complemented
36	C₃×C₅×#121	C₂²	1	2	yes	complemented
37	C₃×C₅×#121	C₂²	1	1	yes	characteristic, complemented
38	C₃×C₅×#121	C₂²	1	1	yes	characteristic, complemented
39	C₃×C₄×C₅×D₄	C₂²	1	2	yes	complemented
40	C₃×C₄×C₅×D₄	C₂²	1	1	yes	characteristic, complemented
41	C₃×C₄×C₅×D₄	C₂²	1	1	yes	characteristic, complemented
42	C₃×C₅×#117	C₂²	1	1	yes	characteristic, complemented
43	C₂×C₃×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
44	C₅×#939	C₂²	1	2	yes	complemented
45	C₅×#939	C₂²	1	2	yes	complemented
46	C₅×#939	C₂²	1	2	yes	complemented
47	C₅×#939	C₂²	1	2	yes	complemented
48	C₅×#938	C₂²	1	2	yes	complemented
49	C₅×#938	C₂²	1	1	yes	characteristic, complemented
50	C₅×#938	C₂²	1	1	yes	characteristic, complemented
51	C₅×#935	C₂²	1	2	yes	complemented
52	C₅×D₄×Dic₃	C₂²	1	1	yes	characteristic, complemented
53	C₅×D₄×Dic₃	C₂²	1	2	yes	complemented
54	C₅×D₄×Dic₃	C₂²	1	1	yes	characteristic, complemented
55	C₅×#930	C₂²	1	2	yes	complemented
56	C₅×#930	C₂²	1	1	yes	characteristic, complemented
57	C₅×#930	C₂²	1	1	yes	characteristic, complemented
58	C₅×#929	C₂²	1	2	yes	complemented
59	C₄×C₅×#67	C₂²	1	2	yes	complemented
60	C₄×C₅×#67	C₂²	1	2	yes	complemented
61	C₄×C₅×#67	C₂²	1	2	yes	complemented
62	C₄×C₅×#67	C₂²	1	1	yes	characteristic, complemented
63	C₄×C₅×#67	C₂²	1	1	yes	characteristic, complemented
64	C₅×#926	C₂²	1	1	yes	characteristic, complemented
65	C₂×C₅×C₄⋊Dic₃	C₂²	1	1	yes	characteristic, complemented
66	C₂×C₅×Dic₃⋊C₄	C₂²	1	2	yes	complemented
67	C₅×#898	C₂²	1	2	yes	complemented
68	C₅×#898	C₂²	1	2	yes	complemented
69	C₅×#898	C₂²	1	2	yes	complemented
70	C₅×#895	C₂²	1	2	yes	complemented
71	C₅×#895	C₂²	1	1	yes	characteristic, complemented
72	C₅×#895	C₂²	1	1	yes	characteristic, complemented
73	C₅×#894	C₂²	1	2	yes	complemented
74	C₅×#894	C₂²	1	2	yes	complemented
75	C₅×#893	C₂²	1	2	yes	complemented
76	C₅×#893	C₂²	1	1	yes	characteristic, complemented
77	C₅×#893	C₂²	1	1	yes	characteristic, complemented
78	C₅×#892	C₂²	1	1	yes	characteristic, complemented
79	C₅×#892	C₂²	1	1	yes	characteristic, complemented
80	C₅×D₃×C₄⋊C₄	C₂²	1	2	yes	—
81	C₅×D₃×C₄⋊C₄	C₂²	1	2	yes	—
82	C₅×D₃×C₄⋊C₄	C₂²	1	2	yes	—
83	C₅×D₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
84	C₅×D₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
85	C₅×D₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
86	C₅×D₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
87	C₅×D₃×C₄⋊C₄	C₂²	1	2	yes	complemented
88	C₅×D₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
89	C₅×D₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
90	C₅×#890	C₂²	1	1	yes	characteristic, complemented
91	C₅×#890	C₂²	1	1	yes	characteristic, complemented
92	C₅×#889	C₂²	1	2	yes	complemented
93	C₅×#889	C₂²	1	2	yes	complemented
94	C₅×#886	C₂²	1	2	yes	complemented
95	C₅×#884	C₂²	1	2	yes	complemented
96	C₅×#884	C₂²	1	2	yes	complemented
97	C₅×#884	C₂²	1	2	yes	complemented
98	C₅×#884	C₂²	1	2	yes	complemented
99	C₅×#883	C₂²	1	2	yes	complemented
100	C₅×#883	C₂²	1	2	yes	complemented
101	C₅×#67⋊C₄	C₂²	1	1	yes	characteristic, complemented
102	C₅×#67⋊C₄	C₂²	1	2	yes	complemented
103	C₅×#67⋊C₄	C₂²	1	2	yes	complemented
104	C₅×#67⋊C₄	C₂²	1	1	yes	characteristic, complemented
105	C₅×#67⋊C₄	C₂²	1	2	yes	complemented
106	C₅×D₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
107	C₅×D₃×C₂²⋊C₄	C₂²	1	2	yes	—
108	C₅×D₃×C₂²⋊C₄	C₂²	1	2	yes	—
109	C₅×D₃×C₂²⋊C₄	C₂²	1	2	yes	—
110	C₅×D₃×C₂²⋊C₄	C₂²	1	2	yes	—
111	C₅×D₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
112	C₅×#879	C₂²	1	2	yes	complemented
113	C₅×#879	C₂²	1	2	yes	complemented
114	C₅×#879	C₂²	1	2	yes	complemented
115	C₅×#877	C₂²	1	2	yes	complemented
116	C₅×#876	C₂²	1	2	yes	complemented
117	C₄×C₅×D₁₂	C₂²	1	1	yes	characteristic, complemented
118	C₄×C₅×D₁₂	C₂²	1	1	yes	characteristic, complemented
119	C₄×C₅×D₁₂	C₂²	1	2	yes	complemented
120	C₅×#872	C₂²	1	2	yes	complemented
121	C₄²×C₅×D₃	C₂²	1	1	yes	characteristic
122	C₄²×C₅×D₃	C₂²	1	2	yes	—
123	C₅×#870	C₂²	1	1	yes	characteristic, complemented
124	D₃×#553	C₅	1	1	yes	maximal, characteristic, direct product factor, Hall
125	C₅×#553	—	3	2	no	—
126	C₅×#553	—	3	1	no	—
127	C₅×#553	—	3	2	no	—
128	C₅×#553	—	3	2	no	—
129	C₅×#553	—	3	1	no	—
130	C₅×#553	—	3	1	no	—
131	C₅×#553	—	3	2	no	—
132	C₅×#553	—	3	1	no	—
133	C₅×#553	—	3	1	no	—
134	C₅×#553	—	3	1	no	—
135	C₅×#553	—	3	1	no	—
136	C₅×#553	D₃	1	1	yes	characteristic, direct product factor
137	C₂×C₅×#126	—	3	2	no	—
138	C₂×C₅×#125	—	3	1	no	—
139	C₂×C₅×#123	—	3	2	no	—
140	C₂×C₅×#121	—	3	2	no	—
141	C₂×C₅×#121	—	3	1	no	—
142	C₂×C₅×#121	—	3	1	no	—
143	C₂×C₄×C₅×D₄	—	3	2	no	—
144	C₂×C₄×C₅×D₄	—	3	1	no	—
145	C₂×C₄×C₅×D₄	—	3	1	no	—
146	C₂×C₅×#117	—	3	1	no	—
147	C₂²×C₅×C₄⋊C₄	—	3	1	no	—
148	C₂³×C₅×D₃	C₂³	1	1	yes	characteristic
149	C₂³×C₅×D₃	C₂³	1	2	yes	—
150	C₂³×C₅×D₃	C₂³	1	1	yes	characteristic
151	C₂×C₃×C₅×D₄	C₂³	1	1	yes	characteristic
152	C₂×C₃×C₅×D₄	C₂³	1	1	yes	characteristic
153	C₂×C₃×C₅×D₄	C₂³	1	2	yes	—
154	C₂×C₃×C₅×D₄	C₂³	1	2	yes	—
155	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
156	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
157	C₂²×C₃×C₄×C₅	C₂³	1	2	yes	—
158	C₂²×C₃×C₄×C₅	C₂³	1	2	yes	—
159	C₂×C₅×#67	C₂³	1	1	yes	characteristic
160	C₂×C₅×#67	C₂³	1	2	yes	—
161	C₂×C₅×#67	C₂³	1	2	yes	—
162	C₂×C₅×#67	C₂³	1	1	yes	characteristic
163	C₂×C₅×#67	C₂³	1	2	yes	—
164	C₂×C₅×#67	C₂³	1	2	yes	—
165	C₂×C₅×#67	C₂³	1	2	yes	—
166	C₂²×C₅×Dic₃	C₂³	1	1	yes	characteristic
167	C₂²×C₅×Dic₃	C₂³	1	1	yes	characteristic
168	C₂²×C₅×Dic₃	C₂³	1	2	yes	—
169	C₂²×C₅×Dic₃	C₂³	1	2	yes	—
170	C₅×D₃×D₄	—	2	4	no	—
171	C₅×D₃×D₄	—	2	8	no	—
172	C₅×D₃×D₄	—	2	4	no	—
173	C₅×D₃×D₄	—	4	4	no	—
174	C₂×C₅×D₁₂	C₂³	1	1	yes	characteristic
175	C₂×C₅×D₁₂	C₂³	1	2	yes	—
176	C₂×C₅×D₁₂	C₂³	1	1	yes	characteristic
177	C₂×C₅×D₁₂	C₂³	1	2	yes	—
178	C₂×C₄×C₅×D₃	—	2	4	no	—
179	C₂×C₄×C₅×D₃	—	2	4	no	—
180	C₂×C₄×C₅×D₃	—	4	4	no	—
181	C₂×C₄×C₅×D₃	—	4	4	no	—
182	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic
183	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic
184	C₂×C₄×C₅×D₃	C₂³	1	2	yes	—
185	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic
186	C₂×C₄×C₅×D₃	C₂³	1	2	yes	—
187	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic
188	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic
189	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic
190	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic
191	C₂×C₄×C₅×D₃	C₂³	1	2	yes	—
192	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic
193	C₂×C₄×C₅×D₃	C₂³	1	2	yes	—
194	C₂×C₄×C₅×D₃	C₂³	1	2	yes	—
195	C₂×C₄×C₅×D₃	C₂³	1	2	yes	—
196	C₂×C₄×C₅×D₃	C₂³	1	2	yes	—
197	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic
198	C₃×C₅×C₄⋊C₄	C₂³	1	2	yes	—
199	C₃×C₅×C₄⋊C₄	C₂³	1	2	yes	—
200	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
201	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
202	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
203	C₃×C₅×C₄⋊C₄	C₂³	1	2	yes	—
204	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
205	C₃×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
206	C₃×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
207	C₃×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
208	C₃×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
209	C₃×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
210	C₃×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
211	C₃×C₄²×C₅	C₂³	1	1	yes	characteristic
212	C₃×C₄²×C₅	C₂³	1	2	yes	—
213	C₅×#217	C₂³	1	2	yes	—
214	C₅×#217	C₂³	1	2	yes	—
215	C₅×#217	C₂³	1	2	yes	—
216	C₅×#217	C₂³	1	2	yes	—
217	C₅×#217	C₂³	1	1	yes	characteristic
218	C₅×#217	C₂³	1	1	yes	characteristic
219	C₅×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
220	C₅×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
221	C₅×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
222	C₅×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
223	C₅×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
224	C₅×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
225	C₅×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
226	C₅×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
227	C₅×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
228	C₅×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
229	C₅×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
230	C₅×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
231	C₅×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
232	C₅×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
233	C₅×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
234	C₅×C₄⋊Dic₃	C₂³	1	2	yes	—
235	C₅×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
236	C₅×C₄⋊Dic₃	C₂³	1	2	yes	—
237	C₅×C₄⋊Dic₃	C₂³	1	2	yes	—
238	C₅×Dic₃⋊C₄	C₂³	1	2	yes	—
239	C₅×Dic₃⋊C₄	C₂³	1	2	yes	—
240	C₅×Dic₃⋊C₄	C₂³	1	2	yes	—
241	C₅×Dic₃⋊C₄	C₂³	1	2	yes	—
242	C₅×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
243	C₅×Dic₃⋊C₄	C₂³	1	2	yes	—
244	C₅×Dic₃⋊C₄	C₂³	1	2	yes	—
245	C₅×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
246	C₅×Dic₃⋊C₄	C₂³	1	2	yes	—
247	C₅×Dic₃⋊C₄	C₂³	1	2	yes	—
248	C₅×Dic₃⋊C₄	C₂³	1	2	yes	—
249	C₄×C₅×Dic₃	C₂³	1	2	yes	—
250	C₄×C₅×Dic₃	C₂³	1	2	yes	—
251	C₄×C₅×Dic₃	C₂³	1	2	yes	—
252	C₄×C₅×Dic₃	C₂³	1	1	yes	characteristic
253	C₄×C₅×Dic₃	C₂³	1	1	yes	characteristic
254	C₄×C₅×Dic₃	C₂³	1	1	yes	characteristic
255	C₃×#553	C₂×C₅	1	1	yes	characteristic, complemented
256	#5709	C₂×C₅	1	2	yes	complemented
257	D₃×#126	C₂×C₅	1	2	yes	complemented
258	#5695	C₂×C₅	1	1	yes	characteristic, complemented
259	D₃×#125	C₂×C₅	1	1	yes	characteristic, complemented
260	#5661	C₂×C₅	1	2	yes	complemented
261	D₃×#123	C₂×C₅	1	2	yes	complemented
262	#5618	C₂×C₅	1	1	yes	characteristic, complemented
263	#5614	C₂×C₅	1	1	yes	characteristic, complemented
264	D₃×#121	C₂×C₅	1	1	yes	characteristic, complemented
265	D₃×#121	C₂×C₅	1	2	yes	complemented
266	D₃×#121	C₂×C₅	1	1	yes	characteristic, complemented
267	#5601	C₂×C₅	1	2	yes	complemented
268	#5565	C₂×C₅	1	1	yes	characteristic, complemented
269	#5558	C₂×C₅	1	1	yes	characteristic, complemented
270	C₄×D₃×D₄	C₂×C₅	1	1	yes	characteristic, complemented
271	C₄×D₃×D₄	C₂×C₅	1	1	yes	characteristic, complemented
272	C₄×D₃×D₄	C₂×C₅	1	2	yes	complemented
273	#5540	C₂×C₅	1	2	yes	complemented
274	#5530	C₂×C₅	1	1	yes	characteristic, complemented
275	D₃×#117	C₂×C₅	1	1	yes	characteristic, complemented
276	#5514	C₂×C₅	1	1	yes	characteristic, complemented
277	C₂×D₃×C₄⋊C₄	C₂×C₅	1	1	yes	characteristic, complemented
278	C₂²×C₅×D₄	—	3	1	no	—
279	C₂²×C₅×D₄	—	3	2	no	—
280	C₂²×C₅×D₄	—	3	1	no	—
281	C₂²×C₅×D₄	—	3	2	no	—
282	C₂³×C₄×C₅	—	3	1	no	—
283	C₂³×C₄×C₅	—	3	1	no	—
284	C₂³×C₄×C₅	—	3	2	no	—
285	C₂³×C₄×C₅	—	3	2	no	—
286	C₅×#126	—	3	2	no	—
287	C₅×#126	—	3	2	no	—
288	C₅×#126	—	3	2	no	—
289	C₅×#126	—	3	2	no	—
290	C₅×#126	—	3	2	no	—
291	C₅×#126	—	3	2	no	—
292	C₅×#126	—	3	2	no	—
293	C₅×#126	C₂×D₃	1	2	yes	complemented
294	C₅×#125	—	3	2	no	—
295	C₅×#125	—	3	2	no	—
296	C₅×#125	—	3	1	no	—
297	C₅×#125	—	3	1	no	—
298	C₅×#125	—	3	1	no	—
299	C₅×#125	C₂×D₃	1	1	yes	characteristic, complemented
300	C₅×#123	—	3	2	no	—
301	C₅×#123	—	3	2	no	—
302	C₅×#123	—	3	2	no	—
303	C₅×#123	—	3	2	no	—
304	C₅×#123	—	3	2	no	—
305	C₅×#123	—	3	2	no	—
306	C₅×#123	—	3	2	no	—
307	C₅×#123	C₂×D₃	1	2	yes	complemented
308	C₅×#121	—	3	2	no	—
309	C₅×#121	—	3	1	no	—
310	C₅×#121	—	3	1	no	—
311	C₅×#121	—	3	2	no	—
312	C₅×#121	—	3	2	no	—
313	C₅×#121	—	3	2	no	—
314	C₅×#121	—	3	2	no	—
315	C₅×#121	—	3	2	no	—
316	C₅×#121	—	3	1	no	—
317	C₅×#121	—	3	1	no	—
318	C₅×#121	—	3	2	no	—
319	C₅×#121	—	3	1	no	—
320	C₅×#121	—	3	1	no	—
321	C₅×#121	—	3	2	no	—
322	C₅×#121	—	3	2	no	—
323	C₅×#121	—	3	2	no	—
324	C₅×#121	—	3	2	no	—
325	C₅×#121	C₂×D₃	1	2	yes	complemented
326	C₅×#121	C₂×D₃	1	1	yes	characteristic, complemented
327	C₅×#121	C₂×D₃	1	1	yes	characteristic, complemented
328	C₄×C₅×D₄	—	3	2	no	—
329	C₄×C₅×D₄	—	3	1	no	—
330	C₄×C₅×D₄	—	3	1	no	—
331	C₄×C₅×D₄	—	3	2	no	—
332	C₄×C₅×D₄	—	3	2	no	—
333	C₄×C₅×D₄	—	3	1	no	—
334	C₄×C₅×D₄	—	3	2	no	—
335	C₄×C₅×D₄	—	3	1	no	—
336	C₄×C₅×D₄	—	3	2	no	—
337	C₄×C₅×D₄	—	3	1	no	—
338	C₄×C₅×D₄	—	3	1	no	—
339	C₄×C₅×D₄	—	3	2	no	—
340	C₄×C₅×D₄	—	3	2	no	—
341	C₄×C₅×D₄	—	3	1	no	—
342	C₄×C₅×D₄	—	3	2	no	—
343	C₄×C₅×D₄	—	3	1	no	—
344	C₄×C₅×D₄	—	3	2	no	—
345	C₄×C₅×D₄	—	3	1	no	—
346	C₄×C₅×D₄	—	3	1	no	—
347	C₄×C₅×D₄	C₂×D₃	1	2	yes	complemented
348	C₄×C₅×D₄	C₂×D₃	1	1	yes	characteristic, complemented
349	C₄×C₅×D₄	C₂×D₃	1	1	yes	characteristic, complemented
350	C₅×#117	—	3	1	no	—
351	C₅×#117	—	3	1	no	—
352	C₅×#117	—	3	1	no	—
353	C₅×#117	—	3	2	no	—
354	C₅×#117	—	3	2	no	—
355	C₅×#117	C₂×D₃	1	1	yes	characteristic, complemented
356	C₂×C₅×C₄⋊C₄	—	3	2	no	—
357	C₂×C₅×C₄⋊C₄	—	3	1	no	—
358	C₂×C₅×C₄⋊C₄	—	3	1	no	—
359	C₂×C₅×C₄⋊C₄	—	3	1	no	—
360	C₂×C₅×C₄⋊C₄	—	3	2	no	—
361	C₂×C₅×C₄⋊C₄	—	3	1	no	—
362	C₂×C₅×C₄⋊C₄	—	3	2	no	—
363	C₂×C₅×C₄⋊C₄	—	3	1	no	—
364	C₂×C₅×C₄⋊C₄	—	3	2	no	—
365	C₂×C₅×C₄⋊C₄	—	3	2	no	—
366	C₂×C₅×C₄⋊C₄	—	3	1	no	—
367	C₂×C₅×C₄⋊C₄	—	3	1	no	—
368	C₂×C₅×C₄⋊C₄	C₂×D₃	1	1	yes	characteristic, complemented
369	C₂×C₅×C₂²⋊C₄	—	3	2	no	—
370	C₂×C₅×C₂²⋊C₄	—	3	1	no	—
371	C₂×C₅×C₂²⋊C₄	—	3	2	no	—
372	C₂×C₅×C₂²⋊C₄	—	3	2	no	—
373	C₂×C₅×C₂²⋊C₄	—	3	1	no	—
374	C₂×C₅×C₂²⋊C₄	—	3	2	no	—
375	C₂×C₄²×C₅	—	3	2	no	—
376	C₂×C₄²×C₅	—	3	1	no	—
377	C₂×#553	—	3	1	no	Sylow
378	C₂³×C₃×C₅	C₂⁴	1	1	yes	characteristic
379	C₂³×C₃×C₅	C₂⁴	1	2	yes	—
380	C₂³×C₃×C₅	C₂⁴	1	1	yes	characteristic
381	C₂²×C₅×D₃	—	2	2	no	—
382	C₂²×C₅×D₃	—	2	2	no	—
383	C₂²×C₅×D₃	—	2	2	no	—
384	C₂²×C₅×D₃	—	2	2	no	—
385	C₂²×C₅×D₃	—	2	4	no	—
386	C₂²×C₅×D₃	—	2	4	no	—
387	C₂²×C₅×D₃	—	2	4	no	—
388	C₂²×C₅×D₃	—	2	2	no	—
389	C₂²×C₅×D₃	#41	1	4	yes	—
390	C₂²×C₅×D₃	C₂⁴	1	1	yes	characteristic
391	C₂²×C₅×D₃	C₂⁴	1	2	yes	—
392	C₂²×C₅×D₃	C₂⁴	1	1	yes	characteristic
393	C₂²×C₅×D₃	C₂⁴	1	1	yes	characteristic
394	C₃×C₅×D₄	—	2	2	no	—
395	C₃×C₅×D₄	—	2	4	no	—
396	C₃×C₅×D₄	—	2	2	no	—
397	C₃×C₅×D₄	—	4	2	no	—
398	C₂×C₃×C₄×C₅	—	2	2	no	—
399	C₂×C₃×C₄×C₅	—	2	2	no	—
400	C₂×C₃×C₄×C₅	—	4	2	no	—
401	C₂×C₃×C₄×C₅	—	4	2	no	—
402	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
403	C₂×C₃×C₄×C₅	C₂⁴	1	2	yes	—
404	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
405	C₂×C₃×C₄×C₅	C₂⁴	1	2	yes	—
406	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
407	C₂×C₃×C₄×C₅	C₂⁴	1	2	yes	—
408	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
409	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
410	C₅×#67	—	2	2	no	—
411	C₅×#67	—	2	4	no	—
412	C₅×#67	—	2	2	no	—
413	C₅×#67	—	2	4	no	—
414	C₅×#67	—	2	4	no	—
415	C₅×#67	—	4	2	no	—
416	C₅×#67	—	4	2	no	—
417	C₂×C₅×Dic₃	—	2	2	no	—
418	C₂×C₅×Dic₃	—	2	2	no	—
419	C₂×C₅×Dic₃	—	4	2	no	—
420	C₂×C₅×Dic₃	—	4	2	no	—
421	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
422	C₂×C₅×Dic₃	C₂⁴	1	2	yes	—
423	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
424	C₂×C₅×Dic₃	C₂⁴	1	2	yes	—
425	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
426	C₂×C₅×Dic₃	C₂⁴	1	2	yes	—
427	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
428	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
429	C₅×D₁₂	—	2	2	no	—
430	C₅×D₁₂	—	2	4	no	—
431	C₅×D₁₂	—	2	2	no	—
432	C₅×D₁₂	—	4	2	no	—
433	C₄×C₅×D₃	—	2	2	no	—
434	C₄×C₅×D₃	—	2	2	no	—
435	C₄×C₅×D₃	—	2	2	no	—
436	C₄×C₅×D₃	—	2	4	no	—
437	C₄×C₅×D₃	—	2	2	no	—
438	C₄×C₅×D₃	—	2	4	no	—
439	C₄×C₅×D₃	—	2	4	no	—
440	C₄×C₅×D₃	—	2	2	no	—
441	C₄×C₅×D₃	—	2	2	no	—
442	C₄×C₅×D₃	—	2	2	no	—
443	C₄×C₅×D₃	—	2	2	no	—
444	C₄×C₅×D₃	—	4	2	no	—
445	C₄×C₅×D₃	—	4	2	no	—
446	C₄×C₅×D₃	—	4	2	no	—
447	C₄×C₅×D₃	—	4	2	no	—
448	C₄×C₅×D₃	#41	1	4	yes	—
449	C₂×D₃×D₄	C₂²×C₅	1	1	yes	characteristic
450	C₂×D₃×D₄	C₂²×C₅	1	2	yes	—
451	C₂×D₃×D₄	C₂²×C₅	1	1	yes	characteristic
452	C₂×D₃×D₄	C₂²×C₅	1	2	yes	—
453	C₂²×C₄×D₃	C₂²×C₅	1	1	yes	characteristic
454	C₂²×C₄×D₃	C₂²×C₅	1	1	yes	characteristic
455	C₂²×C₄×D₃	C₂²×C₅	1	2	yes	—
456	C₂²×C₄×D₃	C₂²×C₅	1	2	yes	—
457	C₃×#126	C₂²×C₅	1	2	yes	complemented
458	C₃×#125	C₂²×C₅	1	1	yes	characteristic, complemented
459	C₃×#123	C₂²×C₅	1	2	yes	complemented
460	C₃×#121	C₂²×C₅	1	2	yes	complemented
461	C₃×#121	C₂²×C₅	1	1	yes	characteristic, complemented
462	C₃×#121	C₂²×C₅	1	1	yes	characteristic, complemented
463	C₃×C₄×D₄	C₂²×C₅	1	2	yes	complemented
464	C₃×C₄×D₄	C₂²×C₅	1	1	yes	characteristic, complemented
465	C₃×C₄×D₄	C₂²×C₅	1	1	yes	characteristic, complemented
466	C₃×#117	C₂²×C₅	1	1	yes	characteristic, complemented
467	C₂×C₃×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
468	#939	C₂²×C₅	1	2	yes	complemented
469	#939	C₂²×C₅	1	2	yes	complemented
470	#939	C₂²×C₅	1	2	yes	complemented
471	#939	C₂²×C₅	1	2	yes	complemented
472	#938	C₂²×C₅	1	2	yes	complemented
473	#938	C₂²×C₅	1	1	yes	characteristic, complemented
474	#938	C₂²×C₅	1	1	yes	characteristic, complemented
475	#935	C₂²×C₅	1	2	yes	complemented
476	D₄×Dic₃	C₂²×C₅	1	1	yes	characteristic, complemented
477	D₄×Dic₃	C₂²×C₅	1	2	yes	complemented
478	D₄×Dic₃	C₂²×C₅	1	1	yes	characteristic, complemented
479	#930	C₂²×C₅	1	2	yes	complemented
480	#930	C₂²×C₅	1	1	yes	characteristic, complemented
481	#930	C₂²×C₅	1	1	yes	characteristic, complemented
482	#929	C₂²×C₅	1	2	yes	complemented
483	C₄×#67	C₂²×C₅	1	2	yes	complemented
484	C₄×#67	C₂²×C₅	1	2	yes	complemented
485	C₄×#67	C₂²×C₅	1	2	yes	complemented
486	C₄×#67	C₂²×C₅	1	1	yes	characteristic, complemented
487	C₄×#67	C₂²×C₅	1	1	yes	characteristic, complemented
488	#926	C₂²×C₅	1	1	yes	characteristic, complemented
489	C₂×C₄⋊Dic₃	C₂²×C₅	1	1	yes	characteristic, complemented
490	C₂×Dic₃⋊C₄	C₂²×C₅	1	2	yes	complemented
491	#898	C₂²×C₅	1	2	yes	complemented
492	#898	C₂²×C₅	1	2	yes	complemented
493	#898	C₂²×C₅	1	2	yes	complemented
494	#895	C₂²×C₅	1	2	yes	complemented
495	#895	C₂²×C₅	1	1	yes	characteristic, complemented
496	#895	C₂²×C₅	1	1	yes	characteristic, complemented
497	#894	C₂²×C₅	1	2	yes	complemented
498	#894	C₂²×C₅	1	2	yes	complemented
499	#893	C₂²×C₅	1	2	yes	complemented
500	#893	C₂²×C₅	1	1	yes	characteristic, complemented
501	#893	C₂²×C₅	1	1	yes	characteristic, complemented
502	#892	C₂²×C₅	1	1	yes	characteristic, complemented
503	#892	C₂²×C₅	1	1	yes	characteristic, complemented
504	D₃×C₄⋊C₄	C₂²×C₅	1	2	yes	—
505	D₃×C₄⋊C₄	C₂²×C₅	1	2	yes	—
506	D₃×C₄⋊C₄	C₂²×C₅	1	2	yes	—
507	D₃×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
508	D₃×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
509	D₃×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
510	D₃×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
511	D₃×C₄⋊C₄	C₂²×C₅	1	2	yes	complemented
512	D₃×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
513	D₃×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
514	#890	C₂²×C₅	1	1	yes	characteristic, complemented
515	#890	C₂²×C₅	1	1	yes	characteristic, complemented
516	#889	C₂²×C₅	1	2	yes	complemented
517	#889	C₂²×C₅	1	2	yes	complemented
518	#886	C₂²×C₅	1	2	yes	complemented
519	#884	C₂²×C₅	1	2	yes	complemented
520	#884	C₂²×C₅	1	2	yes	complemented
521	#884	C₂²×C₅	1	2	yes	complemented
522	#884	C₂²×C₅	1	2	yes	complemented
523	#883	C₂²×C₅	1	2	yes	complemented
524	#883	C₂²×C₅	1	2	yes	complemented
525	#67⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
526	#67⋊C₄	C₂²×C₅	1	2	yes	complemented
527	#67⋊C₄	C₂²×C₅	1	2	yes	complemented
528	#67⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
529	#67⋊C₄	C₂²×C₅	1	2	yes	complemented
530	D₃×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
531	D₃×C₂²⋊C₄	C₂²×C₅	1	2	yes	—
532	D₃×C₂²⋊C₄	C₂²×C₅	1	2	yes	—
533	D₃×C₂²⋊C₄	C₂²×C₅	1	2	yes	—
534	D₃×C₂²⋊C₄	C₂²×C₅	1	2	yes	—
535	D₃×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
536	#879	C₂²×C₅	1	2	yes	complemented
537	#879	C₂²×C₅	1	2	yes	complemented
538	#879	C₂²×C₅	1	2	yes	complemented
539	#877	C₂²×C₅	1	2	yes	complemented
540	#876	C₂²×C₅	1	2	yes	complemented
541	C₄×D₁₂	C₂²×C₅	1	1	yes	characteristic, complemented
542	C₄×D₁₂	C₂²×C₅	1	1	yes	characteristic, complemented
543	C₄×D₁₂	C₂²×C₅	1	2	yes	complemented
544	#872	C₂²×C₅	1	2	yes	complemented
545	C₄²×D₃	C₂²×C₅	1	1	yes	characteristic
546	C₄²×D₃	C₂²×C₅	1	2	yes	—
547	#870	C₂²×C₅	1	1	yes	characteristic, complemented
548	C₂⁴×C₅	—	3	1	no	—
549	C₂⁴×C₅	—	3	1	no	—
550	C₂⁴×C₅	—	3	2	no	—
551	C₂×C₅×D₄	—	3	2	no	—
552	C₂×C₅×D₄	—	3	2	no	—
553	C₂×C₅×D₄	—	3	1	no	—
554	C₂×C₅×D₄	—	3	2	no	—
555	C₂×C₅×D₄	—	3	1	no	—
556	C₂×C₅×D₄	—	3	2	no	—
557	C₂×C₅×D₄	—	3	2	no	—
558	C₂×C₅×D₄	—	3	2	no	—
559	C₂×C₅×D₄	—	3	1	no	—
560	C₂×C₅×D₄	—	3	1	no	—
561	C₂×C₅×D₄	—	3	2	no	—
562	C₂×C₅×D₄	—	6	4	no	—
563	C₂×C₅×D₄	—	6	8	no	—
564	C₂×C₅×D₄	—	6	4	no	—
565	C₂×C₅×D₄	—	12	4	no	—
566	C₂×C₅×D₄	C₂²×D₃	1	2	yes	—
567	C₂×C₅×D₄	C₂²×D₃	1	1	yes	characteristic
568	C₂×C₅×D₄	C₂²×D₃	1	1	yes	characteristic
569	C₂×C₅×D₄	C₂²×D₃	1	2	yes	—
570	C₂²×C₄×C₅	—	3	1	no	—
571	C₂²×C₄×C₅	—	3	1	no	—
572	C₂²×C₄×C₅	—	3	1	no	—
573	C₂²×C₄×C₅	—	3	2	no	—
574	C₂²×C₄×C₅	—	3	2	no	—
575	C₂²×C₄×C₅	—	3	1	no	—
576	C₂²×C₄×C₅	—	3	2	no	—
577	C₂²×C₄×C₅	—	3	1	no	—
578	C₂²×C₄×C₅	—	3	2	no	—
579	C₂²×C₄×C₅	—	3	1	no	—
580	C₂²×C₄×C₅	—	3	1	no	—
581	C₂²×C₄×C₅	—	3	2	no	—
582	C₂²×C₄×C₅	—	3	1	no	—
583	C₂²×C₄×C₅	—	3	1	no	—
584	C₂²×C₄×C₅	—	3	1	no	—
585	C₂²×C₄×C₅	—	3	1	no	—
586	C₂²×C₄×C₅	—	3	2	no	—
587	C₂²×C₄×C₅	—	3	2	no	—
588	C₂²×C₄×C₅	—	3	2	no	—
589	C₂²×C₄×C₅	—	3	2	no	—
590	C₂²×C₄×C₅	—	6	4	no	—
591	C₂²×C₄×C₅	—	6	4	no	—
592	C₂²×C₄×C₅	—	12	4	no	—
593	C₂²×C₄×C₅	—	12	4	no	—
594	C₂²×C₄×C₅	C₂²×D₃	1	1	yes	characteristic
595	C₂²×C₄×C₅	C₂²×D₃	1	1	yes	characteristic
596	C₂²×C₄×C₅	C₂²×D₃	1	2	yes	—
597	C₂²×C₄×C₅	C₂²×D₃	1	2	yes	—
598	C₅×C₄⋊C₄	—	3	2	no	—
599	C₅×C₄⋊C₄	—	3	1	no	—
600	C₅×C₄⋊C₄	—	3	2	no	—
601	C₅×C₄⋊C₄	—	3	1	no	—
602	C₅×C₄⋊C₄	—	3	2	no	—
603	C₅×C₄⋊C₄	—	3	2	no	—
604	C₅×C₄⋊C₄	—	3	2	no	—
605	C₅×C₄⋊C₄	—	3	2	no	—
606	C₅×C₄⋊C₄	—	3	1	no	—
607	C₅×C₄⋊C₄	—	3	2	no	—
608	C₅×C₄⋊C₄	—	3	2	no	—
609	C₅×C₄⋊C₄	—	3	2	no	—
610	C₅×C₄⋊C₄	—	3	1	no	—
611	C₅×C₄⋊C₄	—	3	1	no	—
612	C₅×C₄⋊C₄	—	3	1	no	—
613	C₅×C₄⋊C₄	—	3	2	no	—
614	C₅×C₄⋊C₄	—	3	2	no	—
615	C₅×C₄⋊C₄	—	3	2	no	—
616	C₅×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
617	C₅×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
618	C₅×C₄⋊C₄	C₂²×D₃	1	2	yes	—
619	C₅×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
620	C₅×C₄⋊C₄	C₂²×D₃	1	2	yes	—
621	C₅×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
622	C₅×C₄⋊C₄	C₂²×D₃	1	2	yes	—
623	C₅×C₂²⋊C₄	—	3	2	no	—
624	C₅×C₂²⋊C₄	—	3	1	no	—
625	C₅×C₂²⋊C₄	—	3	2	no	—
626	C₅×C₂²⋊C₄	—	3	2	no	—
627	C₅×C₂²⋊C₄	—	3	1	no	—
628	C₅×C₂²⋊C₄	—	3	2	no	—
629	C₅×C₂²⋊C₄	—	3	2	no	—
630	C₅×C₂²⋊C₄	—	3	2	no	—
631	C₅×C₂²⋊C₄	—	3	1	no	—
632	C₅×C₂²⋊C₄	—	3	1	no	—
633	C₅×C₂²⋊C₄	—	3	2	no	—
634	C₅×C₂²⋊C₄	—	3	2	no	—
635	C₅×C₂²⋊C₄	—	3	2	no	—
636	C₅×C₂²⋊C₄	—	3	2	no	—
637	C₅×C₂²⋊C₄	—	3	1	no	—
638	C₅×C₂²⋊C₄	—	3	1	no	—
639	C₅×C₂²⋊C₄	—	3	2	no	—
640	C₅×C₂²⋊C₄	—	3	2	no	—
641	C₅×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
642	C₅×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
643	C₅×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
644	C₅×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
645	C₅×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
646	C₅×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
647	C₄²×C₅	—	3	2	no	—
648	C₄²×C₅	—	3	2	no	—
649	C₄²×C₅	—	3	2	no	—
650	C₄²×C₅	—	3	1	no	—
651	C₄²×C₅	—	3	1	no	—
652	C₄²×C₅	—	3	1	no	—
653	C₄²×C₅	C₂²×D₃	1	2	yes	—
654	C₄²×C₅	C₂²×D₃	1	1	yes	characteristic
655	#553	—	3	2	no	—
656	#553	—	3	1	no	—
657	#553	—	3	2	no	—
658	#553	—	3	2	no	—
659	#553	—	3	1	no	—
660	#553	—	3	1	no	—
661	#553	—	3	2	no	—
662	#553	—	3	1	no	—
663	#553	—	3	1	no	—
664	#553	—	3	1	no	—
665	#553	—	3	1	no	—
666	#553	C₅×D₃	1	1	yes	characteristic, direct product factor
667	C₂×#126	—	3	2	no	—
668	C₂×#125	—	3	1	no	—
669	C₂×#123	—	3	2	no	—
670	C₂×#121	—	3	2	no	—
671	C₂×#121	—	3	1	no	—
672	C₂×#121	—	3	1	no	—
673	C₂×C₄×D₄	—	3	2	no	—
674	C₂×C₄×D₄	—	3	1	no	—
675	C₂×C₄×D₄	—	3	1	no	—
676	C₂×#117	—	3	1	no	—
677	C₂²×C₄⋊C₄	—	3	1	no	—
678	C₂²×C₃×C₅	—	2	1	no	—
679	C₂²×C₃×C₅	—	2	1	no	—
680	C₂²×C₃×C₅	—	2	1	no	—
681	C₂²×C₃×C₅	—	2	1	no	—
682	C₂²×C₃×C₅	—	2	2	no	—
683	C₂²×C₃×C₅	—	2	2	no	—
684	C₂²×C₃×C₅	—	2	2	no	—
685	C₂²×C₃×C₅	—	2	1	no	—
686	C₂²×C₃×C₅	C₂×#41	1	2	yes	—
687	C₂²×C₃×C₅	C₂⁵	1	1	yes	characteristic
688	C₂×C₅×D₃	—	2	1	no	—
689	C₂×C₅×D₃	—	2	1	no	—
690	C₂×C₅×D₃	—	2	8	no	—
691	C₂×C₅×D₃	—	2	1	no	—
692	C₂×C₅×D₃	—	2	1	no	—
693	C₂×C₅×D₃	—	2	2	no	—
694	C₂×C₅×D₃	—	2	2	no	—
695	C₂×C₅×D₃	—	2	2	no	—
696	C₂×C₅×D₃	—	2	1	no	—
697	C₂×C₅×D₃	—	4	4	no	—
698	C₂×C₅×D₃	—	4	8	no	—
699	C₂×C₅×D₃	C₂×#41	1	2	yes	—
700	C₂×C₅×D₃	C₂×#41	1	2	yes	—
701	C₂×C₅×D₃	C₂×#41	1	2	yes	—
702	C₂×C₅×D₃	H(5,𝔽₂)	1	2	yes	—
703	C₃×C₄×C₅	—	2	1	no	—
704	C₃×C₄×C₅	—	2	1	no	—
705	C₃×C₄×C₅	—	2	2	no	—
706	C₃×C₄×C₅	—	2	1	no	—
707	C₃×C₄×C₅	—	2	1	no	—
708	C₃×C₄×C₅	—	2	2	no	—
709	C₃×C₄×C₅	—	2	2	no	—
710	C₃×C₄×C₅	C₂×#41	1	2	yes	—
711	C₅×Dic₃	—	2	1	no	—
712	C₅×Dic₃	—	2	1	no	—
713	C₅×Dic₃	—	2	2	no	—
714	C₅×Dic₃	—	2	1	no	—
715	C₅×Dic₃	—	2	1	no	—
716	C₅×Dic₃	—	2	2	no	—
717	C₅×Dic₃	—	2	2	no	—
718	C₅×Dic₃	C₂×#41	1	2	yes	—
719	C₂³×D₃	C₂³×C₅	1	1	yes	characteristic
720	C₂³×D₃	C₂³×C₅	1	2	yes	—
721	C₂³×D₃	C₂³×C₅	1	1	yes	characteristic
722	C₂×C₃×D₄	C₂³×C₅	1	1	yes	characteristic
723	C₂×C₃×D₄	C₂³×C₅	1	1	yes	characteristic
724	C₂×C₃×D₄	C₂³×C₅	1	2	yes	—
725	C₂×C₃×D₄	C₂³×C₅	1	2	yes	—
726	C₂²×C₃×C₄	C₂³×C₅	1	1	yes	characteristic
727	C₂²×C₃×C₄	C₂³×C₅	1	1	yes	characteristic
728	C₂²×C₃×C₄	C₂³×C₅	1	2	yes	—
729	C₂²×C₃×C₄	C₂³×C₅	1	2	yes	—
730	C₂×#67	C₂³×C₅	1	1	yes	characteristic
731	C₂×#67	C₂³×C₅	1	2	yes	—
732	C₂×#67	C₂³×C₅	1	2	yes	—
733	C₂×#67	C₂³×C₅	1	1	yes	characteristic
734	C₂×#67	C₂³×C₅	1	2	yes	—
735	C₂×#67	C₂³×C₅	1	2	yes	—
736	C₂×#67	C₂³×C₅	1	2	yes	—
737	C₂²×Dic₃	C₂³×C₅	1	1	yes	characteristic
738	C₂²×Dic₃	C₂³×C₅	1	1	yes	characteristic
739	C₂²×Dic₃	C₂³×C₅	1	2	yes	—
740	C₂²×Dic₃	C₂³×C₅	1	2	yes	—
741	D₃×D₄	—	2	4	no	—
742	D₃×D₄	—	2	8	no	—
743	D₃×D₄	—	2	4	no	—
744	D₃×D₄	—	4	4	no	—
745	C₂×D₁₂	C₂³×C₅	1	1	yes	characteristic
746	C₂×D₁₂	C₂³×C₅	1	2	yes	—
747	C₂×D₁₂	C₂³×C₅	1	1	yes	characteristic
748	C₂×D₁₂	C₂³×C₅	1	2	yes	—
749	C₂×C₄×D₃	—	2	4	no	—
750	C₂×C₄×D₃	—	2	4	no	—
751	C₂×C₄×D₃	—	4	4	no	—
752	C₂×C₄×D₃	—	4	4	no	—
753	C₂×C₄×D₃	C₂³×C₅	1	1	yes	characteristic
754	C₂×C₄×D₃	C₂³×C₅	1	1	yes	characteristic
755	C₂×C₄×D₃	C₂³×C₅	1	2	yes	—
756	C₂×C₄×D₃	C₂³×C₅	1	1	yes	characteristic
757	C₂×C₄×D₃	C₂³×C₅	1	2	yes	—
758	C₂×C₄×D₃	C₂³×C₅	1	1	yes	characteristic
759	C₂×C₄×D₃	C₂³×C₅	1	1	yes	characteristic
760	C₂×C₄×D₃	C₂³×C₅	1	1	yes	characteristic
761	C₂×C₄×D₃	C₂³×C₅	1	1	yes	characteristic
762	C₂×C₄×D₃	C₂³×C₅	1	2	yes	—
763	C₂×C₄×D₃	C₂³×C₅	1	1	yes	characteristic
764	C₂×C₄×D₃	C₂³×C₅	1	2	yes	—
765	C₂×C₄×D₃	C₂³×C₅	1	2	yes	—
766	C₂×C₄×D₃	C₂³×C₅	1	2	yes	—
767	C₂×C₄×D₃	C₂³×C₅	1	2	yes	—
768	C₂×C₄×D₃	C₂³×C₅	1	1	yes	characteristic
769	C₃×C₄⋊C₄	C₂³×C₅	1	2	yes	—
770	C₃×C₄⋊C₄	C₂³×C₅	1	2	yes	—
771	C₃×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
772	C₃×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
773	C₃×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
774	C₃×C₄⋊C₄	C₂³×C₅	1	2	yes	—
775	C₃×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
776	C₃×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
777	C₃×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
778	C₃×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
779	C₃×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
780	C₃×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
781	C₃×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
782	C₃×C₄²	C₂³×C₅	1	1	yes	characteristic
783	C₃×C₄²	C₂³×C₅	1	2	yes	—
784	#217	C₂³×C₅	1	2	yes	—
785	#217	C₂³×C₅	1	2	yes	—
786	#217	C₂³×C₅	1	2	yes	—
787	#217	C₂³×C₅	1	2	yes	—
788	#217	C₂³×C₅	1	1	yes	characteristic
789	#217	C₂³×C₅	1	1	yes	characteristic
790	(C₂×D₃)⋊C₄	C₂³×C₅	1	2	yes	—
791	(C₂×D₃)⋊C₄	C₂³×C₅	1	2	yes	—
792	(C₂×D₃)⋊C₄	C₂³×C₅	1	1	yes	characteristic
793	(C₂×D₃)⋊C₄	C₂³×C₅	1	2	yes	—
794	(C₂×D₃)⋊C₄	C₂³×C₅	1	1	yes	characteristic
795	(C₂×D₃)⋊C₄	C₂³×C₅	1	1	yes	characteristic
796	(C₂×D₃)⋊C₄	C₂³×C₅	1	2	yes	—
797	(C₂×D₃)⋊C₄	C₂³×C₅	1	2	yes	—
798	(C₂×D₃)⋊C₄	C₂³×C₅	1	2	yes	—
799	(C₂×D₃)⋊C₄	C₂³×C₅	1	2	yes	—
800	(C₂×D₃)⋊C₄	C₂³×C₅	1	1	yes	characteristic
801	(C₂×D₃)⋊C₄	C₂³×C₅	1	2	yes	—
802	C₄⋊Dic₃	C₂³×C₅	1	1	yes	characteristic
803	C₄⋊Dic₃	C₂³×C₅	1	1	yes	characteristic
804	C₄⋊Dic₃	C₂³×C₅	1	1	yes	characteristic
805	C₄⋊Dic₃	C₂³×C₅	1	2	yes	—
806	C₄⋊Dic₃	C₂³×C₅	1	1	yes	characteristic
807	C₄⋊Dic₃	C₂³×C₅	1	2	yes	—
808	C₄⋊Dic₃	C₂³×C₅	1	2	yes	—
809	Dic₃⋊C₄	C₂³×C₅	1	2	yes	—
810	Dic₃⋊C₄	C₂³×C₅	1	2	yes	—
811	Dic₃⋊C₄	C₂³×C₅	1	2	yes	—
812	Dic₃⋊C₄	C₂³×C₅	1	2	yes	—
813	Dic₃⋊C₄	C₂³×C₅	1	1	yes	characteristic
814	Dic₃⋊C₄	C₂³×C₅	1	2	yes	—
815	Dic₃⋊C₄	C₂³×C₅	1	2	yes	—
816	Dic₃⋊C₄	C₂³×C₅	1	1	yes	characteristic
817	Dic₃⋊C₄	C₂³×C₅	1	2	yes	—
818	Dic₃⋊C₄	C₂³×C₅	1	2	yes	—
819	Dic₃⋊C₄	C₂³×C₅	1	2	yes	—
820	C₄×Dic₃	C₂³×C₅	1	2	yes	—
821	C₄×Dic₃	C₂³×C₅	1	2	yes	—
822	C₄×Dic₃	C₂³×C₅	1	2	yes	—
823	C₄×Dic₃	C₂³×C₅	1	1	yes	characteristic
824	C₄×Dic₃	C₂³×C₅	1	1	yes	characteristic
825	C₄×Dic₃	C₂³×C₅	1	1	yes	characteristic
826	C₂³×C₅	—	3	1	no	—
827	C₂³×C₅	—	3	4	no	—
828	C₂³×C₅	—	3	1	no	—
829	C₂³×C₅	—	3	1	no	—
830	C₂³×C₅	—	3	2	no	—
831	C₂³×C₅	—	6	2	no	—
832	C₂³×C₅	—	6	2	no	—
833	C₂³×C₅	—	6	2	no	—
834	C₂³×C₅	—	6	4	no	—
835	C₂³×C₅	—	6	4	no	—
836	C₂³×C₅	—	6	2	no	—
837	C₂³×C₅	—	6	4	no	—
838	C₂³×C₅	—	6	2	no	—
839	C₂³×C₅	C₂³×D₃	1	1	yes	characteristic
840	C₂³×C₅	C₂³×D₃	1	2	yes	—
841	C₂³×C₅	C₂³×D₃	1	1	yes	characteristic
842	C₅×D₄	—	2	4	no	—
843	C₅×D₄	—	2	2	no	—
844	C₅×D₄	—	2	2	no	—
845	C₅×D₄	—	4	2	no	—
846	C₅×D₄	—	6	4	no	—
847	C₅×D₄	—	6	2	no	—
848	C₅×D₄	—	6	4	no	—
849	C₅×D₄	—	6	4	no	—
850	C₅×D₄	—	6	2	no	—
851	C₅×D₄	—	6	4	no	—
852	C₅×D₄	—	6	2	no	—
853	C₅×D₄	—	6	2	no	—
854	C₅×D₄	—	12	2	no	—
855	C₅×D₄	—	12	2	no	—
856	C₅×D₄	—	12	2	no	—
857	C₂×C₄×C₅	—	2	2	no	—
858	C₂×C₄×C₅	—	2	2	no	—
859	C₂×C₄×C₅	—	3	1	no	—
860	C₂×C₄×C₅	—	3	4	no	—
861	C₂×C₄×C₅	—	3	1	no	—
862	C₂×C₄×C₅	—	3	2	no	—
863	C₂×C₄×C₅	—	3	1	no	—
864	C₂×C₄×C₅	—	3	2	no	—
865	C₂×C₄×C₅	—	3	1	no	—
866	C₂×C₄×C₅	—	3	1	no	—
867	C₂×C₄×C₅	—	3	2	no	—
868	C₂×C₄×C₅	—	4	2	no	—
869	C₂×C₄×C₅	—	4	2	no	—
870	C₂×C₄×C₅	—	6	2	no	—
871	C₂×C₄×C₅	—	6	2	no	—
872	C₂×C₄×C₅	—	6	2	no	—
873	C₂×C₄×C₅	—	6	2	no	—
874	C₂×C₄×C₅	—	6	4	no	—
875	C₂×C₄×C₅	—	6	2	no	—
876	C₂×C₄×C₅	—	6	4	no	—
877	C₂×C₄×C₅	—	6	4	no	—
878	C₂×C₄×C₅	—	6	2	no	—
879	C₂×C₄×C₅	—	6	2	no	—
880	C₂×C₄×C₅	—	6	2	no	—
881	C₂×C₄×C₅	—	6	2	no	—
882	C₂×C₄×C₅	—	6	2	no	—
883	C₂×C₄×C₅	—	12	2	no	—
884	C₂×C₄×C₅	—	12	2	no	—
885	C₂×C₄×C₅	—	12	2	no	—
886	C₂×C₄×C₅	—	12	2	no	—
887	C₂×C₄×C₅	—	12	2	no	—
888	C₂×C₄×C₅	—	12	2	no	—
889	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
890	C₂×C₄×C₅	C₂³×D₃	1	2	yes	—
891	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
892	C₂×C₄×C₅	C₂³×D₃	1	2	yes	—
893	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
894	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
895	C₂×C₄×C₅	C₂³×D₃	1	2	yes	—
896	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
897	C₂²×D₄	—	3	1	no	—
898	C₂²×D₄	—	3	2	no	—
899	C₂²×D₄	—	3	1	no	—
900	C₂²×D₄	—	3	2	no	—
901	C₂³×C₄	—	3	1	no	—
902	C₂³×C₄	—	3	1	no	—
903	C₂³×C₄	—	3	2	no	—
904	C₂³×C₄	—	3	2	no	—
905	#126	—	3	2	no	—
906	#126	—	3	2	no	—
907	#126	—	3	2	no	—
908	#126	—	3	2	no	—
909	#126	—	3	2	no	—
910	#126	—	3	2	no	—
911	#126	—	3	2	no	—
912	#126	C₂×C₅×D₃	1	2	yes	complemented
913	#125	—	3	2	no	—
914	#125	—	3	2	no	—
915	#125	—	3	1	no	—
916	#125	—	3	1	no	—
917	#125	—	3	1	no	—
918	#125	C₂×C₅×D₃	1	1	yes	characteristic, complemented
919	#123	—	3	2	no	—
920	#123	—	3	2	no	—
921	#123	—	3	2	no	—
922	#123	—	3	2	no	—
923	#123	—	3	2	no	—
924	#123	—	3	2	no	—
925	#123	—	3	2	no	—
926	#123	C₂×C₅×D₃	1	2	yes	complemented
927	#121	—	3	2	no	—
928	#121	—	3	1	no	—
929	#121	—	3	1	no	—
930	#121	—	3	2	no	—
931	#121	—	3	2	no	—
932	#121	—	3	2	no	—
933	#121	—	3	2	no	—
934	#121	—	3	2	no	—
935	#121	—	3	1	no	—
936	#121	—	3	1	no	—
937	#121	—	3	2	no	—
938	#121	—	3	1	no	—
939	#121	—	3	1	no	—
940	#121	—	3	2	no	—
941	#121	—	3	2	no	—
942	#121	—	3	2	no	—
943	#121	—	3	2	no	—
944	#121	C₂×C₅×D₃	1	2	yes	complemented
945	#121	C₂×C₅×D₃	1	1	yes	characteristic, complemented
946	#121	C₂×C₅×D₃	1	1	yes	characteristic, complemented
947	C₄×D₄	—	3	2	no	—
948	C₄×D₄	—	3	1	no	—
949	C₄×D₄	—	3	1	no	—
950	C₄×D₄	—	3	2	no	—
951	C₄×D₄	—	3	2	no	—
952	C₄×D₄	—	3	1	no	—
953	C₄×D₄	—	3	2	no	—
954	C₄×D₄	—	3	1	no	—
955	C₄×D₄	—	3	2	no	—
956	C₄×D₄	—	3	1	no	—
957	C₄×D₄	—	3	1	no	—
958	C₄×D₄	—	3	2	no	—
959	C₄×D₄	—	3	2	no	—
960	C₄×D₄	—	3	1	no	—
961	C₄×D₄	—	3	2	no	—
962	C₄×D₄	—	3	1	no	—
963	C₄×D₄	—	3	2	no	—
964	C₄×D₄	—	3	1	no	—
965	C₄×D₄	—	3	1	no	—
966	C₄×D₄	C₂×C₅×D₃	1	2	yes	complemented
967	C₄×D₄	C₂×C₅×D₃	1	1	yes	characteristic, complemented
968	C₄×D₄	C₂×C₅×D₃	1	1	yes	characteristic, complemented
969	#117	—	3	1	no	—
970	#117	—	3	1	no	—
971	#117	—	3	1	no	—
972	#117	—	3	2	no	—
973	#117	—	3	2	no	—
974	#117	C₂×C₅×D₃	1	1	yes	characteristic, complemented
975	C₂×C₄⋊C₄	—	3	2	no	—
976	C₂×C₄⋊C₄	—	3	1	no	—
977	C₂×C₄⋊C₄	—	3	1	no	—
978	C₂×C₄⋊C₄	—	3	1	no	—
979	C₂×C₄⋊C₄	—	3	2	no	—
980	C₂×C₄⋊C₄	—	3	2	no	—
981	C₂×C₄⋊C₄	—	3	1	no	—
982	C₂×C₄⋊C₄	—	3	1	no	—
983	C₂×C₄⋊C₄	—	3	1	no	—
984	C₂×C₄⋊C₄	—	3	2	no	—
985	C₂×C₄⋊C₄	—	3	1	no	—
986	C₂×C₄⋊C₄	—	3	2	no	—
987	C₂×C₄⋊C₄	C₂×C₅×D₃	1	1	yes	characteristic, complemented
988	C₂×C₂²⋊C₄	—	3	2	no	—
989	C₂×C₂²⋊C₄	—	3	1	no	—
990	C₂×C₂²⋊C₄	—	3	2	no	—
991	C₂×C₂²⋊C₄	—	3	2	no	—
992	C₂×C₂²⋊C₄	—	3	1	no	—
993	C₂×C₂²⋊C₄	—	3	2	no	—
994	C₂×C₄²	—	3	2	no	—
995	C₂×C₄²	—	3	1	no	—
996	C₂×C₃×C₅	—	2	2	no	—
997	C₂×C₃×C₅	—	4	1	no	—
998	C₂×C₃×C₅	—	4	2	no	—
999	C₂×C₃×C₅	C₂²×#41	1	1	yes	characteristic
1000	C₂×C₃×C₅	C₂²×#41	1	1	yes	characteristic
1001	C₂×C₃×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1002	C₅×D₃	—	2	2	no	—
1003	C₅×D₃	—	4	1	no	—
1004	C₅×D₃	—	4	2	no	—
1005	C₅×D₃	#553	1	4	yes	direct product factor
1006	C₂³×C₃	C₂⁴×C₅	1	1	yes	characteristic
1007	C₂³×C₃	C₂⁴×C₅	1	2	yes	—
1008	C₂³×C₃	C₂⁴×C₅	1	1	yes	characteristic
1009	C₂²×D₃	—	2	2	no	—
1010	C₂²×D₃	—	2	2	no	—
1011	C₂²×D₃	—	2	2	no	—
1012	C₂²×D₃	—	2	2	no	—
1013	C₂²×D₃	—	2	4	no	—
1014	C₂²×D₃	—	2	4	no	—
1015	C₂²×D₃	—	2	4	no	—
1016	C₂²×D₃	—	2	2	no	—
1017	C₂²×D₃	C₅×#41	1	4	yes	—
1018	C₂²×D₃	C₂⁴×C₅	1	1	yes	characteristic
1019	C₂²×D₃	C₂⁴×C₅	1	2	yes	—
1020	C₂²×D₃	C₂⁴×C₅	1	1	yes	characteristic
1021	C₂²×D₃	C₂⁴×C₅	1	1	yes	characteristic
1022	C₃×D₄	—	2	2	no	—
1023	C₃×D₄	—	2	4	no	—
1024	C₃×D₄	—	2	2	no	—
1025	C₃×D₄	—	4	2	no	—
1026	C₂×C₃×C₄	—	2	2	no	—
1027	C₂×C₃×C₄	—	2	2	no	—
1028	C₂×C₃×C₄	—	4	2	no	—
1029	C₂×C₃×C₄	—	4	2	no	—
1030	C₂×C₃×C₄	C₂⁴×C₅	1	1	yes	characteristic
1031	C₂×C₃×C₄	C₂⁴×C₅	1	2	yes	—
1032	C₂×C₃×C₄	C₂⁴×C₅	1	1	yes	characteristic
1033	C₂×C₃×C₄	C₂⁴×C₅	1	2	yes	—
1034	C₂×C₃×C₄	C₂⁴×C₅	1	1	yes	characteristic
1035	C₂×C₃×C₄	C₂⁴×C₅	1	2	yes	—
1036	C₂×C₃×C₄	C₂⁴×C₅	1	1	yes	characteristic
1037	C₂×C₃×C₄	C₂⁴×C₅	1	1	yes	characteristic
1038	#67	—	2	2	no	—
1039	#67	—	2	4	no	—
1040	#67	—	2	2	no	—
1041	#67	—	2	4	no	—
1042	#67	—	2	4	no	—
1043	#67	—	4	2	no	—
1044	#67	—	4	2	no	—
1045	C₂×Dic₃	—	2	2	no	—
1046	C₂×Dic₃	—	2	2	no	—
1047	C₂×Dic₃	—	4	2	no	—
1048	C₂×Dic₃	—	4	2	no	—
1049	C₂×Dic₃	C₂⁴×C₅	1	1	yes	characteristic
1050	C₂×Dic₃	C₂⁴×C₅	1	2	yes	—
1051	C₂×Dic₃	C₂⁴×C₅	1	1	yes	characteristic
1052	C₂×Dic₃	C₂⁴×C₅	1	2	yes	—
1053	C₂×Dic₃	C₂⁴×C₅	1	1	yes	characteristic
1054	C₂×Dic₃	C₂⁴×C₅	1	2	yes	—
1055	C₂×Dic₃	C₂⁴×C₅	1	1	yes	characteristic
1056	C₂×Dic₃	C₂⁴×C₅	1	1	yes	characteristic
1057	D₁₂	—	2	2	no	—
1058	D₁₂	—	2	4	no	—
1059	D₁₂	—	2	2	no	—
1060	D₁₂	—	4	2	no	—
1061	C₄×D₃	—	2	2	no	—
1062	C₄×D₃	—	2	2	no	—
1063	C₄×D₃	—	2	2	no	—
1064	C₄×D₃	—	2	4	no	—
1065	C₄×D₃	—	2	2	no	—
1066	C₄×D₃	—	2	4	no	—
1067	C₄×D₃	—	2	4	no	—
1068	C₄×D₃	—	2	2	no	—
1069	C₄×D₃	—	2	2	no	—
1070	C₄×D₃	—	2	2	no	—
1071	C₄×D₃	—	2	2	no	—
1072	C₄×D₃	—	4	2	no	—
1073	C₄×D₃	—	4	2	no	—
1074	C₄×D₃	—	4	2	no	—
1075	C₄×D₃	—	4	2	no	—
1076	C₄×D₃	C₅×#41	1	4	yes	—
1077	C₂²×C₅	—	2	1	no	—
1078	C₂²×C₅	—	2	1	no	—
1079	C₂²×C₅	—	2	1	no	—
1080	C₂²×C₅	—	2	1	no	—
1081	C₂²×C₅	—	2	2	no	—
1082	C₂²×C₅	—	2	2	no	—
1083	C₂²×C₅	—	2	2	no	—
1084	C₂²×C₅	—	2	1	no	—
1085	C₂²×C₅	—	3	2	no	—
1086	C₂²×C₅	—	3	2	no	—
1087	C₂²×C₅	—	3	2	no	—
1088	C₂²×C₅	—	3	2	no	—
1089	C₂²×C₅	—	6	8	no	—
1090	C₂²×C₅	—	6	1	no	—
1091	C₂²×C₅	—	6	1	no	—
1092	C₂²×C₅	—	6	1	no	—
1093	C₂²×C₅	—	6	1	no	—
1094	C₂²×C₅	—	6	2	no	—
1095	C₂²×C₅	—	6	2	no	—
1096	C₂²×C₅	—	6	2	no	—
1097	C₂²×C₅	—	6	1	no	—
1098	C₂²×C₅	—	12	4	no	—
1099	C₂²×C₅	—	12	8	no	—
1100	C₂²×C₅	D₃×#41	1	2	yes	—
1101	C₂²×C₅	C₂⁴×D₃	1	1	yes	characteristic
1102	C₄×C₅	—	2	1	no	—
1103	C₄×C₅	—	2	1	no	—
1104	C₄×C₅	—	2	2	no	—
1105	C₄×C₅	—	2	1	no	—
1106	C₄×C₅	—	2	1	no	—
1107	C₄×C₅	—	2	2	no	—
1108	C₄×C₅	—	2	2	no	—
1109	C₄×C₅	—	3	2	no	—
1110	C₄×C₅	—	6	1	no	—
1111	C₄×C₅	—	6	1	no	—
1112	C₄×C₅	—	6	2	no	—
1113	C₄×C₅	—	6	1	no	—
1114	C₄×C₅	—	6	2	no	—
1115	C₄×C₅	—	6	1	no	—
1116	C₄×C₅	—	6	2	no	—
1117	C₄×C₅	D₃×#41	1	2	yes	—
1118	C₂⁴	—	3	1	no	—
1119	C₂⁴	—	3	1	no	—
1120	C₂⁴	—	3	2	no	—
1121	C₂×D₄	—	3	2	no	—
1122	C₂×D₄	—	3	2	no	—
1123	C₂×D₄	—	3	1	no	—
1124	C₂×D₄	—	3	2	no	—
1125	C₂×D₄	—	3	1	no	—
1126	C₂×D₄	—	3	2	no	—
1127	C₂×D₄	—	3	2	no	—
1128	C₂×D₄	—	3	2	no	—
1129	C₂×D₄	—	3	1	no	—
1130	C₂×D₄	—	3	1	no	—
1131	C₂×D₄	—	3	2	no	—
1132	C₂×D₄	—	6	4	no	—
1133	C₂×D₄	—	6	8	no	—
1134	C₂×D₄	—	6	4	no	—
1135	C₂×D₄	—	12	4	no	—
1136	C₂×D₄	C₂²×C₅×D₃	1	2	yes	—
1137	C₂×D₄	C₂²×C₅×D₃	1	1	yes	characteristic
1138	C₂×D₄	C₂²×C₅×D₃	1	1	yes	characteristic
1139	C₂×D₄	C₂²×C₅×D₃	1	2	yes	—
1140	C₂²×C₄	—	3	1	no	—
1141	C₂²×C₄	—	3	1	no	—
1142	C₂²×C₄	—	3	1	no	—
1143	C₂²×C₄	—	3	2	no	—
1144	C₂²×C₄	—	3	2	no	—
1145	C₂²×C₄	—	3	1	no	—
1146	C₂²×C₄	—	3	2	no	—
1147	C₂²×C₄	—	3	1	no	—
1148	C₂²×C₄	—	3	2	no	—
1149	C₂²×C₄	—	3	1	no	—
1150	C₂²×C₄	—	3	1	no	—
1151	C₂²×C₄	—	3	2	no	—
1152	C₂²×C₄	—	3	1	no	—
1153	C₂²×C₄	—	3	1	no	—
1154	C₂²×C₄	—	3	1	no	—
1155	C₂²×C₄	—	3	1	no	—
1156	C₂²×C₄	—	3	2	no	—
1157	C₂²×C₄	—	3	2	no	—
1158	C₂²×C₄	—	3	2	no	—
1159	C₂²×C₄	—	3	2	no	—
1160	C₂²×C₄	—	6	4	no	—
1161	C₂²×C₄	—	6	4	no	—
1162	C₂²×C₄	—	12	4	no	—
1163	C₂²×C₄	—	12	4	no	—
1164	C₂²×C₄	C₂²×C₅×D₃	1	1	yes	characteristic
1165	C₂²×C₄	C₂²×C₅×D₃	1	1	yes	characteristic
1166	C₂²×C₄	C₂²×C₅×D₃	1	2	yes	—
1167	C₂²×C₄	C₂²×C₅×D₃	1	2	yes	—
1168	C₄⋊C₄	—	3	2	no	—
1169	C₄⋊C₄	—	3	1	no	—
1170	C₄⋊C₄	—	3	2	no	—
1171	C₄⋊C₄	—	3	1	no	—
1172	C₄⋊C₄	—	3	2	no	—
1173	C₄⋊C₄	—	3	2	no	—
1174	C₄⋊C₄	—	3	2	no	—
1175	C₄⋊C₄	—	3	2	no	—
1176	C₄⋊C₄	—	3	1	no	—
1177	C₄⋊C₄	—	3	2	no	—
1178	C₄⋊C₄	—	3	2	no	—
1179	C₄⋊C₄	—	3	2	no	—
1180	C₄⋊C₄	—	3	1	no	—
1181	C₄⋊C₄	—	3	1	no	—
1182	C₄⋊C₄	—	3	1	no	—
1183	C₄⋊C₄	—	3	2	no	—
1184	C₄⋊C₄	—	3	2	no	—
1185	C₄⋊C₄	—	3	2	no	—
1186	C₄⋊C₄	C₂²×C₅×D₃	1	1	yes	characteristic
1187	C₄⋊C₄	C₂²×C₅×D₃	1	1	yes	characteristic
1188	C₄⋊C₄	C₂²×C₅×D₃	1	2	yes	—
1189	C₄⋊C₄	C₂²×C₅×D₃	1	1	yes	characteristic
1190	C₄⋊C₄	C₂²×C₅×D₃	1	2	yes	—
1191	C₄⋊C₄	C₂²×C₅×D₃	1	1	yes	characteristic
1192	C₄⋊C₄	C₂²×C₅×D₃	1	2	yes	—
1193	C₂²⋊C₄	—	3	2	no	—
1194	C₂²⋊C₄	—	3	1	no	—
1195	C₂²⋊C₄	—	3	2	no	—
1196	C₂²⋊C₄	—	3	2	no	—
1197	C₂²⋊C₄	—	3	1	no	—
1198	C₂²⋊C₄	—	3	2	no	—
1199	C₂²⋊C₄	—	3	2	no	—
1200	C₂²⋊C₄	—	3	2	no	—
1201	C₂²⋊C₄	—	3	1	no	—
1202	C₂²⋊C₄	—	3	1	no	—
1203	C₂²⋊C₄	—	3	2	no	—
1204	C₂²⋊C₄	—	3	2	no	—
1205	C₂²⋊C₄	—	3	2	no	—
1206	C₂²⋊C₄	—	3	2	no	—
1207	C₂²⋊C₄	—	3	1	no	—
1208	C₂²⋊C₄	—	3	1	no	—
1209	C₂²⋊C₄	—	3	2	no	—
1210	C₂²⋊C₄	—	3	2	no	—
1211	C₂²⋊C₄	C₂²×C₅×D₃	1	2	yes	—
1212	C₂²⋊C₄	C₂²×C₅×D₃	1	1	yes	characteristic
1213	C₂²⋊C₄	C₂²×C₅×D₃	1	2	yes	—
1214	C₂²⋊C₄	C₂²×C₅×D₃	1	2	yes	—
1215	C₂²⋊C₄	C₂²×C₅×D₃	1	1	yes	characteristic
1216	C₂²⋊C₄	C₂²×C₅×D₃	1	2	yes	—
1217	C₄²	—	3	2	no	—
1218	C₄²	—	3	2	no	—
1219	C₄²	—	3	2	no	—
1220	C₄²	—	3	1	no	—
1221	C₄²	—	3	1	no	—
1222	C₄²	—	3	1	no	—
1223	C₄²	C₂²×C₅×D₃	1	2	yes	—
1224	C₄²	C₂²×C₅×D₃	1	1	yes	characteristic
1225	C₃×C₅	C₂×#553	1	1	yes	characteristic, complemented, Hall
1226	C₂²×C₃	—	2	1	no	—
1227	C₂²×C₃	—	2	1	no	—
1228	C₂²×C₃	—	2	1	no	—
1229	C₂²×C₃	—	2	1	no	—
1230	C₂²×C₃	—	2	2	no	—
1231	C₂²×C₃	—	2	2	no	—
1232	C₂²×C₃	—	2	2	no	—
1233	C₂²×C₃	—	2	1	no	—
1234	C₂²×C₃	C₂×C₅×#41	1	2	yes	—
1235	C₂²×C₃	C₂⁵×C₅	1	1	yes	characteristic
1236	C₂×D₃	—	2	1	no	—
1237	C₂×D₃	—	2	1	no	—
1238	C₂×D₃	—	2	8	no	—
1239	C₂×D₃	—	2	1	no	—
1240	C₂×D₃	—	2	1	no	—
1241	C₂×D₃	—	2	2	no	—
1242	C₂×D₃	—	2	2	no	—
1243	C₂×D₃	—	2	2	no	—
1244	C₂×D₃	—	2	1	no	—
1245	C₂×D₃	—	4	4	no	—
1246	C₂×D₃	—	4	8	no	—
1247	C₂×D₃	C₂×C₅×#41	1	2	yes	—
1248	C₂×D₃	C₂×C₅×#41	1	2	yes	—
1249	C₂×D₃	C₂×C₅×#41	1	2	yes	—
1250	C₂×D₃	C₅×H(5,𝔽₂)	1	2	yes	—
1251	C₃×C₄	—	2	1	no	—
1252	C₃×C₄	—	2	1	no	—
1253	C₃×C₄	—	2	2	no	—
1254	C₃×C₄	—	2	1	no	—
1255	C₃×C₄	—	2	1	no	—
1256	C₃×C₄	—	2	2	no	—
1257	C₃×C₄	—	2	2	no	—
1258	C₃×C₄	C₂×C₅×#41	1	2	yes	—
1259	Dic₃	—	2	1	no	—
1260	Dic₃	—	2	1	no	—
1261	Dic₃	—	2	2	no	—
1262	Dic₃	—	2	1	no	—
1263	Dic₃	—	2	1	no	—
1264	Dic₃	—	2	2	no	—
1265	Dic₃	—	2	2	no	—
1266	Dic₃	C₂×C₅×#41	1	2	yes	—
1267	C₂×C₅	—	2	2	no	—
1268	C₂×C₅	—	3	4	no	—
1269	C₂×C₅	—	4	1	no	—
1270	C₂×C₅	—	4	2	no	—
1271	C₂×C₅	—	6	2	no	—
1272	C₂×C₅	—	12	1	no	—
1273	C₂×C₅	—	12	2	no	—
1274	C₂×C₅	C₂×D₃×#41	1	1	yes	characteristic
1275	C₂×C₅	C₂×D₃×#41	1	1	yes	characteristic
1276	C₂×C₅	D₃×H(5,𝔽₂)	1	1	yes	characteristic
1277	C₂³	—	3	1	no	—
1278	C₂³	—	3	4	no	—
1279	C₂³	—	3	1	no	—
1280	C₂³	—	3	1	no	—
1281	C₂³	—	3	2	no	—
1282	C₂³	—	6	2	no	—
1283	C₂³	—	6	2	no	—
1284	C₂³	—	6	2	no	—
1285	C₂³	—	6	4	no	—
1286	C₂³	—	6	4	no	—
1287	C₂³	—	6	2	no	—
1288	C₂³	—	6	4	no	—
1289	C₂³	—	6	2	no	—
1290	C₂³	C₂³×C₅×D₃	1	1	yes	characteristic
1291	C₂³	C₂³×C₅×D₃	1	2	yes	—
1292	C₂³	C₂³×C₅×D₃	1	1	yes	characteristic
1293	D₄	—	2	4	no	—
1294	D₄	—	2	2	no	—
1295	D₄	—	2	2	no	—
1296	D₄	—	4	2	no	—
1297	D₄	—	6	4	no	—
1298	D₄	—	6	2	no	—
1299	D₄	—	6	4	no	—
1300	D₄	—	6	4	no	—
1301	D₄	—	6	2	no	—
1302	D₄	—	6	4	no	—
1303	D₄	—	6	2	no	—
1304	D₄	—	6	2	no	—
1305	D₄	—	12	2	no	—
1306	D₄	—	12	2	no	—
1307	D₄	—	12	2	no	—
1308	C₂×C₄	—	2	2	no	—
1309	C₂×C₄	—	2	2	no	—
1310	C₂×C₄	—	3	1	no	—
1311	C₂×C₄	—	3	4	no	—
1312	C₂×C₄	—	3	1	no	—
1313	C₂×C₄	—	3	2	no	—
1314	C₂×C₄	—	3	1	no	—
1315	C₂×C₄	—	3	2	no	—
1316	C₂×C₄	—	3	1	no	—
1317	C₂×C₄	—	3	1	no	—
1318	C₂×C₄	—	3	2	no	—
1319	C₂×C₄	—	4	2	no	—
1320	C₂×C₄	—	4	2	no	—
1321	C₂×C₄	—	6	2	no	—
1322	C₂×C₄	—	6	2	no	—
1323	C₂×C₄	—	6	2	no	—
1324	C₂×C₄	—	6	2	no	—
1325	C₂×C₄	—	6	4	no	—
1326	C₂×C₄	—	6	2	no	—
1327	C₂×C₄	—	6	4	no	—
1328	C₂×C₄	—	6	4	no	—
1329	C₂×C₄	—	6	2	no	—
1330	C₂×C₄	—	6	2	no	—
1331	C₂×C₄	—	6	2	no	—
1332	C₂×C₄	—	6	2	no	—
1333	C₂×C₄	—	6	2	no	—
1334	C₂×C₄	—	12	2	no	—
1335	C₂×C₄	—	12	2	no	—
1336	C₂×C₄	—	12	2	no	—
1337	C₂×C₄	—	12	2	no	—
1338	C₂×C₄	—	12	2	no	—
1339	C₂×C₄	—	12	2	no	—
1340	C₂×C₄	C₂³×C₅×D₃	1	1	yes	characteristic
1341	C₂×C₄	C₂³×C₅×D₃	1	2	yes	—
1342	C₂×C₄	C₂³×C₅×D₃	1	1	yes	characteristic
1343	C₂×C₄	C₂³×C₅×D₃	1	2	yes	—
1344	C₂×C₄	C₂³×C₅×D₃	1	1	yes	characteristic
1345	C₂×C₄	C₂³×C₅×D₃	1	1	yes	characteristic
1346	C₂×C₄	C₂³×C₅×D₃	1	2	yes	—
1347	C₂×C₄	C₂³×C₅×D₃	1	1	yes	characteristic
1348	C₂×C₃	—	2	2	no	—
1349	C₂×C₃	—	4	1	no	—
1350	C₂×C₃	—	4	2	no	—
1351	C₂×C₃	C₂²×C₅×#41	1	1	yes	characteristic
1352	C₂×C₃	C₂²×C₅×#41	1	1	yes	characteristic
1353	C₂×C₃	C₂×C₅×H(5,𝔽₂)	1	1	yes	characteristic
1354	D₃	—	2	2	no	—
1355	D₃	—	4	1	no	—
1356	D₃	—	4	2	no	—
1357	D₃	C₅×#553	1	4	yes	direct product factor
1358	C₅	D₃×#553	1	1	yes	characteristic, direct product factor, Sylow
1359	C₂²	—	2	1	no	—
1360	C₂²	—	2	1	no	—
1361	C₂²	—	2	1	no	—
1362	C₂²	—	2	1	no	—
1363	C₂²	—	2	2	no	—
1364	C₂²	—	2	2	no	—
1365	C₂²	—	2	2	no	—
1366	C₂²	—	2	1	no	—
1367	C₂²	—	3	2	no	—
1368	C₂²	—	3	2	no	—
1369	C₂²	—	3	2	no	—
1370	C₂²	—	3	2	no	—
1371	C₂²	—	6	8	no	—
1372	C₂²	—	6	1	no	—
1373	C₂²	—	6	1	no	—
1374	C₂²	—	6	1	no	—
1375	C₂²	—	6	1	no	—
1376	C₂²	—	6	2	no	—
1377	C₂²	—	6	2	no	—
1378	C₂²	—	6	2	no	—
1379	C₂²	—	6	1	no	—
1380	C₂²	—	12	4	no	—
1381	C₂²	—	12	8	no	—
1382	C₂²	C₅×D₃×#41	1	2	yes	—
1383	C₂²	C₂⁴×C₅×D₃	1	1	yes	characteristic
1384	C₄	—	2	1	no	—
1385	C₄	—	2	1	no	—
1386	C₄	—	2	2	no	—
1387	C₄	—	2	1	no	—
1388	C₄	—	2	1	no	—
1389	C₄	—	2	2	no	—
1390	C₄	—	2	2	no	—
1391	C₄	—	3	2	no	—
1392	C₄	—	6	1	no	—
1393	C₄	—	6	1	no	—
1394	C₄	—	6	2	no	—
1395	C₄	—	6	1	no	—
1396	C₄	—	6	2	no	—
1397	C₄	—	6	1	no	—
1398	C₄	—	6	2	no	—
1399	C₄	C₅×D₃×#41	1	2	yes	—
1400	C₃	C₂×C₅×#553	1	1	yes	characteristic, complemented, Sylow
1401	C₂	—	2	2	no	—
1402	C₂	—	3	4	no	—
1403	C₂	—	4	1	no	—
1404	C₂	—	4	2	no	—
1405	C₂	—	6	2	no	—
1406	C₂	—	12	1	no	—
1407	C₂	—	12	2	no	—
1408	C₂	C₂×C₅×D₃×#41	1	1	yes	characteristic
1409	C₂	C₂×C₅×D₃×#41	1	1	yes	characteristic
1410	C₂	C₅×D₃×H(5,𝔽₂)	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₅	C₂⁴×D₃
commutator, cosocle	C₂²×C₃	C₂⁵×C₅
Frattini	C₂²	C₂⁴×C₅×D₃
Fitting	C₃×C₅×#553	C₂
socle	C₂²×C₃×C₅	C₂⁵
hypercenter	C₅×#553	D₃
hypocenter	C₃	C₂×C₅×#553
LCS	G ▷ C₂²×C₃ ▷ C₃
UCS	C₁ ◁ C₂²×C₅ ◁ C₅×#553

Complements

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

N	H ≅ G/N	type
1. C₃×C₅×#553	C₂	semidirect
2. C₅×#5709	C₂	semidirect
3. C₅×D₃×#126	C₂	semidirect
4. C₅×#5695	C₂	semidirect
5. C₅×D₃×#125	C₂	semidirect
6. C₅×#5661	C₂	semidirect
7. C₅×D₃×#123	C₂	semidirect
8. C₅×#5618	C₂	semidirect
9. C₅×#5614	C₂	semidirect
10. C₅×D₃×#121	C₂	semidirect
11. C₅×D₃×#121	C₂	semidirect
12. C₅×D₃×#121	C₂	semidirect
13. C₅×#5601	C₂	semidirect
14. C₅×#5565	C₂	semidirect
15. C₅×#5558	C₂	semidirect
16. C₄×C₅×D₃×D₄	C₂	semidirect
17. C₄×C₅×D₃×D₄	C₂	semidirect
18. C₄×C₅×D₃×D₄	C₂	semidirect
19. C₅×#5540	C₂	semidirect
20. C₅×#5530	C₂	semidirect
21. C₅×D₃×#117	C₂	semidirect
22. C₅×#5514	C₂	semidirect
23. C₂×C₅×D₃×C₄⋊C₄	C₂	semidirect
33. C₃×C₅×#126	C₂²	semidirect
34. C₃×C₅×#125	C₂²	semidirect
35. C₃×C₅×#123	C₂²	semidirect
36. C₃×C₅×#121	C₂²	semidirect
37. C₃×C₅×#121	C₂²	semidirect
38. C₃×C₅×#121	C₂²	semidirect
39. C₃×C₄×C₅×D₄	C₂²	semidirect
40. C₃×C₄×C₅×D₄	C₂²	semidirect
41. C₃×C₄×C₅×D₄	C₂²	semidirect
42. C₃×C₅×#117	C₂²	semidirect
43. C₂×C₃×C₅×C₄⋊C₄	C₂²	semidirect
44. C₅×#939	C₂²	semidirect
45. C₅×#939	C₂²	semidirect
46. C₅×#939	C₂²	semidirect
47. C₅×#939	C₂²	semidirect
48. C₅×#938	C₂²	semidirect
49. C₅×#938	C₂²	semidirect
50. C₅×#938	C₂²	semidirect
51. C₅×#935	C₂²	semidirect
52. C₅×D₄×Dic₃	C₂²	semidirect
53. C₅×D₄×Dic₃	C₂²	semidirect
54. C₅×D₄×Dic₃	C₂²	semidirect
55. C₅×#930	C₂²	semidirect
56. C₅×#930	C₂²	semidirect
57. C₅×#930	C₂²	semidirect
58. C₅×#929	C₂²	semidirect
59. C₄×C₅×#67	C₂²	semidirect
60. C₄×C₅×#67	C₂²	semidirect
61. C₄×C₅×#67	C₂²	semidirect
62. C₄×C₅×#67	C₂²	semidirect
63. C₄×C₅×#67	C₂²	semidirect
64. C₅×#926	C₂²	semidirect
65. C₂×C₅×C₄⋊Dic₃	C₂²	semidirect
66. C₂×C₅×Dic₃⋊C₄	C₂²	semidirect
67. C₅×#898	C₂²	semidirect
68. C₅×#898	C₂²	semidirect
69. C₅×#898	C₂²	semidirect
70. C₅×#895	C₂²	semidirect
71. C₅×#895	C₂²	semidirect
72. C₅×#895	C₂²	semidirect
73. C₅×#894	C₂²	semidirect
74. C₅×#894	C₂²	semidirect
75. C₅×#893	C₂²	semidirect
76. C₅×#893	C₂²	semidirect
77. C₅×#893	C₂²	semidirect
78. C₅×#892	C₂²	semidirect
79. C₅×#892	C₂²	semidirect
87. C₅×D₃×C₄⋊C₄	C₂²	semidirect
88. C₅×D₃×C₄⋊C₄	C₂²	semidirect
89. C₅×D₃×C₄⋊C₄	C₂²	semidirect
90. C₅×#890	C₂²	semidirect
91. C₅×#890	C₂²	semidirect
92. C₅×#889	C₂²	semidirect
93. C₅×#889	C₂²	semidirect
94. C₅×#886	C₂²	semidirect
95. C₅×#884	C₂²	semidirect
96. C₅×#884	C₂²	semidirect
97. C₅×#884	C₂²	semidirect
98. C₅×#884	C₂²	semidirect
99. C₅×#883	C₂²	semidirect
100. C₅×#883	C₂²	semidirect
101. C₅×#67⋊C₄	C₂²	semidirect
102. C₅×#67⋊C₄	C₂²	semidirect
103. C₅×#67⋊C₄	C₂²	semidirect
104. C₅×#67⋊C₄	C₂²	semidirect
105. C₅×#67⋊C₄	C₂²	semidirect
112. C₅×#879	C₂²	semidirect
113. C₅×#879	C₂²	semidirect
114. C₅×#879	C₂²	semidirect
115. C₅×#877	C₂²	semidirect
116. C₅×#876	C₂²	semidirect
117. C₄×C₅×D₁₂	C₂²	semidirect
118. C₄×C₅×D₁₂	C₂²	semidirect
119. C₄×C₅×D₁₂	C₂²	semidirect
120. C₅×#872	C₂²	semidirect
123. C₅×#870	C₂²	semidirect
124. D₃×#553	C₅	direct (N × H)
136. C₅×#553	D₃	direct (N × H)
255. C₃×#553	C₂×C₅	semidirect
256. #5709	C₂×C₅	semidirect
257. D₃×#126	C₂×C₅	semidirect
258. #5695	C₂×C₅	semidirect
259. D₃×#125	C₂×C₅	semidirect
260. #5661	C₂×C₅	semidirect
261. D₃×#123	C₂×C₅	semidirect
262. #5618	C₂×C₅	semidirect
263. #5614	C₂×C₅	semidirect
264. D₃×#121	C₂×C₅	semidirect
265. D₃×#121	C₂×C₅	semidirect
266. D₃×#121	C₂×C₅	semidirect
267. #5601	C₂×C₅	semidirect
268. #5565	C₂×C₅	semidirect
269. #5558	C₂×C₅	semidirect
270. C₄×D₃×D₄	C₂×C₅	semidirect
271. C₄×D₃×D₄	C₂×C₅	semidirect
272. C₄×D₃×D₄	C₂×C₅	semidirect
273. #5540	C₂×C₅	semidirect
274. #5530	C₂×C₅	semidirect
275. D₃×#117	C₂×C₅	semidirect
276. #5514	C₂×C₅	semidirect
277. C₂×D₃×C₄⋊C₄	C₂×C₅	semidirect
293. C₅×#126	C₂×D₃	semidirect
299. C₅×#125	C₂×D₃	semidirect
307. C₅×#123	C₂×D₃	semidirect
325. C₅×#121	C₂×D₃	semidirect
326. C₅×#121	C₂×D₃	semidirect
327. C₅×#121	C₂×D₃	semidirect
347. C₄×C₅×D₄	C₂×D₃	semidirect
348. C₄×C₅×D₄	C₂×D₃	semidirect
349. C₄×C₅×D₄	C₂×D₃	semidirect
355. C₅×#117	C₂×D₃	semidirect
368. C₂×C₅×C₄⋊C₄	C₂×D₃	semidirect
457. C₃×#126	C₂²×C₅	semidirect
458. C₃×#125	C₂²×C₅	semidirect
459. C₃×#123	C₂²×C₅	semidirect
460. C₃×#121	C₂²×C₅	semidirect
461. C₃×#121	C₂²×C₅	semidirect
462. C₃×#121	C₂²×C₅	semidirect
463. C₃×C₄×D₄	C₂²×C₅	semidirect
464. C₃×C₄×D₄	C₂²×C₅	semidirect
465. C₃×C₄×D₄	C₂²×C₅	semidirect
466. C₃×#117	C₂²×C₅	semidirect
467. C₂×C₃×C₄⋊C₄	C₂²×C₅	semidirect
468. #939	C₂²×C₅	semidirect
469. #939	C₂²×C₅	semidirect
470. #939	C₂²×C₅	semidirect
471. #939	C₂²×C₅	semidirect
472. #938	C₂²×C₅	semidirect
473. #938	C₂²×C₅	semidirect
474. #938	C₂²×C₅	semidirect
475. #935	C₂²×C₅	semidirect
476. D₄×Dic₃	C₂²×C₅	semidirect
477. D₄×Dic₃	C₂²×C₅	semidirect
478. D₄×Dic₃	C₂²×C₅	semidirect
479. #930	C₂²×C₅	semidirect
480. #930	C₂²×C₅	semidirect
481. #930	C₂²×C₅	semidirect
482. #929	C₂²×C₅	semidirect
483. C₄×#67	C₂²×C₅	semidirect
484. C₄×#67	C₂²×C₅	semidirect
485. C₄×#67	C₂²×C₅	semidirect
486. C₄×#67	C₂²×C₅	semidirect
487. C₄×#67	C₂²×C₅	semidirect
488. #926	C₂²×C₅	semidirect
489. C₂×C₄⋊Dic₃	C₂²×C₅	semidirect
490. C₂×Dic₃⋊C₄	C₂²×C₅	semidirect
491. #898	C₂²×C₅	semidirect
492. #898	C₂²×C₅	semidirect
493. #898	C₂²×C₅	semidirect
494. #895	C₂²×C₅	semidirect
495. #895	C₂²×C₅	semidirect
496. #895	C₂²×C₅	semidirect
497. #894	C₂²×C₅	semidirect
498. #894	C₂²×C₅	semidirect
499. #893	C₂²×C₅	semidirect
500. #893	C₂²×C₅	semidirect
501. #893	C₂²×C₅	semidirect
502. #892	C₂²×C₅	semidirect
503. #892	C₂²×C₅	semidirect
511. D₃×C₄⋊C₄	C₂²×C₅	semidirect
512. D₃×C₄⋊C₄	C₂²×C₅	semidirect
513. D₃×C₄⋊C₄	C₂²×C₅	semidirect
514. #890	C₂²×C₅	semidirect
515. #890	C₂²×C₅	semidirect
516. #889	C₂²×C₅	semidirect
517. #889	C₂²×C₅	semidirect
518. #886	C₂²×C₅	semidirect
519. #884	C₂²×C₅	semidirect
520. #884	C₂²×C₅	semidirect
521. #884	C₂²×C₅	semidirect
522. #884	C₂²×C₅	semidirect
523. #883	C₂²×C₅	semidirect
524. #883	C₂²×C₅	semidirect
525. #67⋊C₄	C₂²×C₅	semidirect
526. #67⋊C₄	C₂²×C₅	semidirect
527. #67⋊C₄	C₂²×C₅	semidirect
528. #67⋊C₄	C₂²×C₅	semidirect
529. #67⋊C₄	C₂²×C₅	semidirect
536. #879	C₂²×C₅	semidirect
537. #879	C₂²×C₅	semidirect
538. #879	C₂²×C₅	semidirect
539. #877	C₂²×C₅	semidirect
540. #876	C₂²×C₅	semidirect
541. C₄×D₁₂	C₂²×C₅	semidirect
542. C₄×D₁₂	C₂²×C₅	semidirect
543. C₄×D₁₂	C₂²×C₅	semidirect
544. #872	C₂²×C₅	semidirect
547. #870	C₂²×C₅	semidirect
666. #553	C₅×D₃	direct (N × H)
912. #126	C₂×C₅×D₃	semidirect
918. #125	C₂×C₅×D₃	semidirect
926. #123	C₂×C₅×D₃	semidirect
944. #121	C₂×C₅×D₃	semidirect
945. #121	C₂×C₅×D₃	semidirect
946. #121	C₂×C₅×D₃	semidirect
966. C₄×D₄	C₂×C₅×D₃	semidirect
967. C₄×D₄	C₂×C₅×D₃	semidirect
968. C₄×D₄	C₂×C₅×D₃	semidirect
974. #117	C₂×C₅×D₃	semidirect
987. C₂×C₄⋊C₄	C₂×C₅×D₃	semidirect
1005. C₅×D₃	#553	direct (N × H)
1225. C₃×C₅	C₂×#553	semidirect
1357. D₃	C₅×#553	direct (N × H)
1358. C₅	D₃×#553	direct (N × H)
1400. C₃	C₂×C₅×#553	semidirect

Maximal subgroups

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

subgroup	index
C₃×C₅×#553	2
C₅×#5709	2
C₅×D₃×#126	2
C₅×#5695	2
C₅×D₃×#125	2
C₅×#5661	2
C₅×D₃×#123	2
C₅×#5618	2
C₅×#5614	2
C₅×D₃×#121	2
C₅×#5601	2
C₅×#5565	2
C₅×#5558	2
C₄×C₅×D₃×D₄	2
C₅×#5540	2
C₅×#5530	2
C₅×D₃×#117	2
C₅×#5514	2
C₂×C₅×D₃×C₄⋊C₄	2
C₂×C₅×#553	3
D₃×#553	5

Subgroups — C5×D3×#553 #14483589

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₅×D₃×#553 #14483589