Subgroups — C₂×C₅×#1952 #11943900

Order 1280.

918 conjugacy classes of subgroups.

The subgroup lattice has 358 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×C₅×#108	C₂	1	1	yes	maximal, characteristic
2	C₂×C₅×#428	C₂	1	2	yes	maximal
3	C₂²×C₅×#107	C₂	1	1	yes	maximal, characteristic
4	C₂×C₅×#405	C₂	1	1	yes	maximal, characteristic
5	C₅×#1952	C₂	1	8	yes	maximal, direct product factor
6	C₂×C₅×#343	C₂	1	2	yes	maximal
7	C₂²×C₅×M₁₆	C₂²	1	2	yes	—
8	C₂²×C₅×M₁₆	C₂²	1	1	yes	characteristic
9	C₂³×C₅×C₈	C₂²	1	1	yes	characteristic
10	C₂×C₅×#117	C₂²	1	1	yes	characteristic
11	C₂²×C₅×C₄⋊C₄	C₂²	1	2	yes	—
12	C₂×C₅×#108	C₄	1	8	yes	complemented
13	C₂×C₅×#108	C₂²	1	4	yes	—
14	C₅×#428	—	2	4	no	—
15	C₅×#428	C₂²	1	8	yes	—
16	C₂×C₅×#107	—	2	1	no	—
17	C₂×C₅×#107	—	2	1	no	—
18	C₂×C₅×#107	—	2	2	no	—
19	C₂×C₅×#107	—	2	2	no	—
20	C₂×C₅×#107	C₂²	1	4	yes	—
21	C₂×C₅×#106	—	2	2	no	—
22	C₅×#405	—	2	2	no	—
23	C₅×#405	C₂²	1	4	yes	—
24	C₂×C₅×#97	—	2	1	no	—
25	C₂×C₄×C₅×C₈	—	2	1	no	—
26	C₅×#343	C₂²	1	8	yes	—
27	C₂×#1952	C₅	1	1	yes	maximal, characteristic, direct product factor, Sylow
28	C₂³×C₄×C₅	—	2	2	no	—
29	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
30	C₂×C₅×M₁₆	—	2	1	no	—
31	C₂×C₅×M₁₆	—	2	2	no	—
32	C₂×C₅×M₁₆	—	2	4	no	—
33	C₂×C₅×M₁₆	—	2	2	no	—
34	C₂×C₅×M₁₆	C₂×C₄	1	8	yes	—
35	C₂×C₅×M₁₆	Q₈	1	4	yes	—
36	C₂×C₅×M₁₆	C₂³	1	4	yes	—
37	C₂×C₅×M₁₆	C₂³	1	2	yes	—
38	C₂²×C₅×C₈	—	2	1	no	—
39	C₂²×C₅×C₈	—	2	2	no	—
40	C₂²×C₅×C₈	C₂×C₄	1	4	yes	—
41	C₂²×C₅×C₈	D₄	1	1	yes	characteristic
42	C₂²×C₅×C₈	D₄	1	1	yes	characteristic
43	C₂²×C₅×C₈	D₄	1	2	yes	—
44	C₂²×C₅×C₈	Q₈	1	4	yes	—
45	C₂²×C₅×C₈	C₂³	1	2	yes	—
46	C₅×#117	—	2	1	no	—
47	C₅×#117	—	2	1	no	—
48	C₅×#117	D₄	1	2	yes	—
49	C₅×#117	C₂³	1	2	yes	—
50	C₂×C₅×C₄⋊C₄	—	2	2	no	—
51	C₂×C₅×C₄⋊C₄	—	2	2	no	—
52	C₂×C₅×C₄⋊C₄	—	2	2	no	—
53	C₂×C₅×C₄⋊C₄	—	2	2	no	—
54	C₂×C₅×C₄⋊C₄	—	2	2	no	—
55	C₂×C₅×C₄⋊C₄	D₄	1	1	yes	characteristic
56	C₂×C₅×C₄⋊C₄	D₄	1	1	yes	characteristic
57	C₂×C₅×C₄⋊C₄	C₂³	1	4	yes	—
58	C₂×C₅×C₂²⋊C₄	—	2	1	no	—
59	C₂×C₄²×C₅	—	2	1	no	—
60	C₅×#108	C₂×C₄	1	16	yes	complemented
61	C₅×#107	—	2	4	no	—
62	C₅×#107	—	2	4	no	—
63	C₅×#107	—	2	8	no	—
64	C₅×#106	—	2	8	no	—
65	C₅×#97	—	2	4	no	—
66	C₄×C₅×C₈	—	2	4	no	—
67	C₂²×#108	C₂×C₅	1	1	yes	characteristic
68	C₂×#428	C₂×C₅	1	2	yes	—
69	C₂²×#107	C₂×C₅	1	1	yes	characteristic
70	C₂×#405	C₂×C₅	1	1	yes	characteristic
71	#1952	C₂×C₅	1	8	yes	direct product factor
72	C₂×#343	C₂×C₅	1	2	yes	—
73	C₂⁴×C₅	#41	1	1	yes	characteristic
74	C₂²×C₄×C₅	—	2	1	no	—
75	C₂²×C₄×C₅	—	2	1	no	—
76	C₂²×C₄×C₅	—	2	4	no	—
77	C₂²×C₄×C₅	—	4	2	no	—
78	C₂²×C₄×C₅	—	4	2	no	—
79	C₂²×C₄×C₅	—	8	4	no	—
80	C₂²×C₄×C₅	C₂²×C₄	1	2	yes	—
81	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
82	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
83	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
84	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
85	C₂²×C₄×C₅	C₂×Q₈	1	2	yes	—
86	C₂²×C₄×C₅	C₂×Q₈	1	2	yes	—
87	C₂²×C₄×C₅	#41	1	2	yes	—
88	C₂²×C₄×C₅	#41	1	1	yes	characteristic
89	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
90	C₅×M₁₆	—	2	8	no	—
91	C₅×M₁₆	—	2	4	no	—
92	C₅×M₁₆	—	2	4	no	—
93	C₅×M₁₆	—	2	2	no	—
94	C₅×M₁₆	C₂²×C₄	1	8	yes	—
95	C₅×M₁₆	C₂×Q₈	1	4	yes	—
96	C₂×C₅×C₈	—	2	8	no	—
97	C₂×C₅×C₈	—	2	4	no	—
98	C₂×C₅×C₈	—	2	2	no	—
99	C₂×C₅×C₈	—	2	4	no	—
100	C₂×C₅×C₈	C₄⋊C₄	1	4	yes	—
101	C₂×C₅×C₈	C₄⋊C₄	1	4	yes	—
102	C₂×C₅×C₈	C₄⋊C₄	1	8	yes	—
103	C₂×C₅×C₈	C₂²×C₄	1	4	yes	—
104	C₂×C₅×C₈	C₂×D₄	1	2	yes	—
105	C₂×C₅×C₈	C₂×D₄	1	2	yes	—
106	C₂×C₅×C₈	C₂×Q₈	1	4	yes	—
107	C₅×C₄⋊C₄	—	2	1	no	—
108	C₅×C₄⋊C₄	—	2	1	no	—
109	C₅×C₄⋊C₄	—	2	4	no	—
110	C₅×C₄⋊C₄	—	2	4	no	—
111	C₅×C₄⋊C₄	—	4	2	no	—
112	C₅×C₄⋊C₄	—	4	2	no	—
113	C₅×C₄⋊C₄	C₂×D₄	1	2	yes	—
114	C₅×C₄⋊C₄	C₂×D₄	1	2	yes	—
115	C₅×C₂²⋊C₄	—	2	2	no	—
116	C₅×C₂²⋊C₄	—	2	2	no	—
117	C₄²×C₅	—	2	2	no	—
118	C₄²×C₅	—	2	2	no	—
119	C₂²×M₁₆	C₂²×C₅	1	2	yes	—
120	C₂²×M₁₆	C₂²×C₅	1	1	yes	characteristic
121	C₂³×C₈	C₂²×C₅	1	1	yes	characteristic
122	C₂×#117	C₂²×C₅	1	1	yes	characteristic
123	C₂²×C₄⋊C₄	C₂²×C₅	1	2	yes	—
124	C₂×#108	C₄×C₅	1	8	yes	complemented
125	C₂×#108	C₂²×C₅	1	4	yes	—
126	#428	—	2	4	no	—
127	#428	C₂²×C₅	1	8	yes	—
128	C₂×#107	—	2	1	no	—
129	C₂×#107	—	2	1	no	—
130	C₂×#107	—	2	2	no	—
131	C₂×#107	—	2	2	no	—
132	C₂×#107	C₂²×C₅	1	4	yes	—
133	C₂×#106	—	2	2	no	—
134	#405	—	2	2	no	—
135	#405	C₂²×C₅	1	4	yes	—
136	C₂×#97	—	2	1	no	—
137	C₂×C₄×C₈	—	2	1	no	—
138	#343	C₂²×C₅	1	8	yes	—
139	C₂³×C₅	—	2	2	no	—
140	C₂³×C₅	—	2	2	no	—
141	C₂³×C₅	C₄×Q₈	1	2	yes	—
142	C₂³×C₅	#121	1	1	yes	characteristic
143	C₂³×C₅	#121	1	1	yes	characteristic
144	C₂³×C₅	#125	1	2	yes	—
145	C₂³×C₅	C₂×#41	1	1	yes	characteristic
146	C₂×C₄×C₅	—	2	2	no	—
147	C₂×C₄×C₅	—	2	2	no	—
148	C₂×C₄×C₅	—	4	2	no	—
149	C₂×C₄×C₅	—	4	2	no	—
150	C₂×C₄×C₅	—	4	4	no	—
151	C₂×C₄×C₅	—	8	4	no	—
152	C₂×C₄×C₅	—	8	4	no	—
153	C₂×C₄×C₅	—	8	4	no	—
154	C₂×C₄×C₅	C₂×C₄⋊C₄	1	2	yes	—
155	C₂×C₄×C₅	C₂×C₄⋊C₄	1	2	yes	—
156	C₂×C₄×C₅	C₄×D₄	1	2	yes	—
157	C₂×C₄×C₅	C₄×D₄	1	2	yes	—
158	C₂×C₄×C₅	C₄×Q₈	1	2	yes	—
159	C₂×C₄×C₅	#121	1	1	yes	characteristic
160	C₂×C₄×C₅	#121	1	1	yes	characteristic
161	C₂×C₄×C₅	C₂²⋊Q₈	1	2	yes	—
162	C₂×C₄×C₅	C₂²⋊Q₈	1	2	yes	—
163	C₂×C₄×C₅	#125	1	2	yes	—
164	C₂×C₄×C₅	C₄⋊Q₈	1	2	yes	—
165	C₂×C₄×C₅	C₄⋊Q₈	1	2	yes	—
166	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
167	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
168	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
169	C₂×C₄×C₅	C₂²×Q₈	1	1	yes	characteristic
170	C₂×C₄×C₅	C₂²×Q₈	1	1	yes	characteristic
171	C₂×C₄×C₅	C₂×#41	1	1	yes	characteristic
172	C₅×C₈	—	2	8	no	—
173	C₅×C₈	—	2	4	no	—
174	C₅×C₈	C₂×C₄⋊C₄	1	4	yes	—
175	C₅×C₈	C₂×C₄⋊C₄	1	4	yes	—
176	C₂³×C₄	—	2	2	no	—
177	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
178	C₂×M₁₆	—	2	1	no	—
179	C₂×M₁₆	—	2	2	no	—
180	C₂×M₁₆	—	2	4	no	—
181	C₂×M₁₆	—	2	2	no	—
182	C₂×M₁₆	C₂×C₄×C₅	1	8	yes	—
183	C₂×M₁₆	C₅×Q₈	1	4	yes	—
184	C₂×M₁₆	C₂³×C₅	1	4	yes	—
185	C₂×M₁₆	C₂³×C₅	1	2	yes	—
186	C₂²×C₈	—	2	1	no	—
187	C₂²×C₈	—	2	2	no	—
188	C₂²×C₈	C₂×C₄×C₅	1	4	yes	—
189	C₂²×C₈	C₅×D₄	1	1	yes	characteristic
190	C₂²×C₈	C₅×D₄	1	1	yes	characteristic
191	C₂²×C₈	C₅×D₄	1	2	yes	—
192	C₂²×C₈	C₅×Q₈	1	4	yes	—
193	C₂²×C₈	C₂³×C₅	1	2	yes	—
194	#117	—	2	1	no	—
195	#117	—	2	1	no	—
196	#117	C₅×D₄	1	2	yes	—
197	#117	C₂³×C₅	1	2	yes	—
198	C₂×C₄⋊C₄	—	2	2	no	—
199	C₂×C₄⋊C₄	—	2	2	no	—
200	C₂×C₄⋊C₄	—	2	2	no	—
201	C₂×C₄⋊C₄	—	2	2	no	—
202	C₂×C₄⋊C₄	—	2	2	no	—
203	C₂×C₄⋊C₄	C₅×D₄	1	1	yes	characteristic
204	C₂×C₄⋊C₄	C₅×D₄	1	1	yes	characteristic
205	C₂×C₄⋊C₄	C₂³×C₅	1	4	yes	—
206	C₂×C₂²⋊C₄	—	2	1	no	—
207	C₂×C₄²	—	2	1	no	—
208	#108	C₂×C₄×C₅	1	16	yes	complemented
209	#107	—	2	4	no	—
210	#107	—	2	4	no	—
211	#107	—	2	8	no	—
212	#106	—	2	8	no	—
213	#97	—	2	4	no	—
214	C₄×C₈	—	2	4	no	—
215	C₂²×C₅	—	2	4	no	—
216	C₂²×C₅	—	2	4	no	—
217	C₂²×C₅	—	2	1	no	—
218	C₂²×C₅	—	2	1	no	—
219	C₂²×C₅	—	2	1	no	—
220	C₂²×C₅	—	2	1	no	—
221	C₂²×C₅	#389	1	2	yes	—
222	C₂²×C₅	#389	1	2	yes	—
223	C₂²×C₅	#472	1	2	yes	—
224	C₂²×C₅	#473	1	2	yes	—
225	C₂²×C₅	C₂×C₄×Q₈	1	1	yes	characteristic
226	C₂²×C₅	C₂×#121	1	1	yes	characteristic
227	C₂²×C₅	C₂×#125	1	1	yes	characteristic
228	C₄×C₅	—	4	2	no	—
229	C₄×C₅	—	4	2	no	—
230	C₄×C₅	—	8	4	no	—
231	C₄×C₅	#389	1	2	yes	—
232	C₄×C₅	#389	1	2	yes	—
233	C₄×C₅	C₂²×C₄⋊C₄	1	1	yes	characteristic
234	C₄×C₅	C₂×C₄×D₄	1	1	yes	characteristic
235	C₄×C₅	C₂×C₂²⋊Q₈	1	1	yes	characteristic
236	C₄×C₅	C₂×C₄⋊Q₈	1	1	yes	characteristic
237	C₂⁴	C₅×#41	1	1	yes	characteristic
238	C₂²×C₄	—	2	1	no	—
239	C₂²×C₄	—	2	1	no	—
240	C₂²×C₄	—	2	4	no	—
241	C₂²×C₄	—	4	2	no	—
242	C₂²×C₄	—	4	2	no	—
243	C₂²×C₄	—	8	4	no	—
244	C₂²×C₄	C₂²×C₄×C₅	1	2	yes	—
245	C₂²×C₄	C₂×C₅×D₄	1	1	yes	characteristic
246	C₂²×C₄	C₂×C₅×D₄	1	1	yes	characteristic
247	C₂²×C₄	C₂×C₅×D₄	1	1	yes	characteristic
248	C₂²×C₄	C₂×C₅×D₄	1	1	yes	characteristic
249	C₂²×C₄	C₂×C₅×Q₈	1	2	yes	—
250	C₂²×C₄	C₂×C₅×Q₈	1	2	yes	—
251	C₂²×C₄	C₅×#41	1	2	yes	—
252	C₂²×C₄	C₅×#41	1	1	yes	characteristic
253	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
254	M₁₆	—	2	8	no	—
255	M₁₆	—	2	4	no	—
256	M₁₆	—	2	4	no	—
257	M₁₆	—	2	2	no	—
258	M₁₆	C₂²×C₄×C₅	1	8	yes	—
259	M₁₆	C₂×C₅×Q₈	1	4	yes	—
260	C₂×C₈	—	2	8	no	—
261	C₂×C₈	—	2	4	no	—
262	C₂×C₈	—	2	2	no	—
263	C₂×C₈	—	2	4	no	—
264	C₂×C₈	C₅×C₄⋊C₄	1	4	yes	—
265	C₂×C₈	C₅×C₄⋊C₄	1	4	yes	—
266	C₂×C₈	C₅×C₄⋊C₄	1	8	yes	—
267	C₂×C₈	C₂²×C₄×C₅	1	4	yes	—
268	C₂×C₈	C₂×C₅×D₄	1	2	yes	—
269	C₂×C₈	C₂×C₅×D₄	1	2	yes	—
270	C₂×C₈	C₂×C₅×Q₈	1	4	yes	—
271	C₄⋊C₄	—	2	1	no	—
272	C₄⋊C₄	—	2	1	no	—
273	C₄⋊C₄	—	2	4	no	—
274	C₄⋊C₄	—	2	4	no	—
275	C₄⋊C₄	—	4	2	no	—
276	C₄⋊C₄	—	4	2	no	—
277	C₄⋊C₄	C₂×C₅×D₄	1	2	yes	—
278	C₄⋊C₄	C₂×C₅×D₄	1	2	yes	—
279	C₂²⋊C₄	—	2	2	no	—
280	C₂²⋊C₄	—	2	2	no	—
281	C₄²	—	2	2	no	—
282	C₄²	—	2	2	no	—
283	C₂×C₅	—	2	1	no	—
284	C₂×C₅	—	2	1	no	—
285	C₂×C₅	—	2	2	no	—
286	C₂×C₅	#1952	1	4	yes	direct product factor
287	C₂×C₅	C₂×#389	1	1	yes	characteristic
288	C₂×C₅	C₂×#472	1	1	yes	characteristic
289	C₂×C₅	C₂×#473	1	1	yes	characteristic
290	C₂³	—	2	2	no	—
291	C₂³	—	2	2	no	—
292	C₂³	C₄×C₅×Q₈	1	2	yes	—
293	C₂³	C₅×#121	1	1	yes	characteristic
294	C₂³	C₅×#121	1	1	yes	characteristic
295	C₂³	C₅×#125	1	2	yes	—
296	C₂³	C₂×C₅×#41	1	1	yes	characteristic
297	C₂×C₄	—	2	2	no	—
298	C₂×C₄	—	2	2	no	—
299	C₂×C₄	—	4	2	no	—
300	C₂×C₄	—	4	2	no	—
301	C₂×C₄	—	4	4	no	—
302	C₂×C₄	—	8	4	no	—
303	C₂×C₄	—	8	4	no	—
304	C₂×C₄	—	8	4	no	—
305	C₂×C₄	C₂×C₅×C₄⋊C₄	1	2	yes	—
306	C₂×C₄	C₂×C₅×C₄⋊C₄	1	2	yes	—
307	C₂×C₄	C₄×C₅×D₄	1	2	yes	—
308	C₂×C₄	C₄×C₅×D₄	1	2	yes	—
309	C₂×C₄	C₄×C₅×Q₈	1	2	yes	—
310	C₂×C₄	C₅×#121	1	1	yes	characteristic
311	C₂×C₄	C₅×#121	1	1	yes	characteristic
312	C₂×C₄	C₅×C₂²⋊Q₈	1	2	yes	—
313	C₂×C₄	C₅×C₂²⋊Q₈	1	2	yes	—
314	C₂×C₄	C₅×#125	1	2	yes	—
315	C₂×C₄	C₅×C₄⋊Q₈	1	2	yes	—
316	C₂×C₄	C₅×C₄⋊Q₈	1	2	yes	—
317	C₂×C₄	C₂³×C₄×C₅	1	1	yes	characteristic
318	C₂×C₄	C₂²×C₅×D₄	1	1	yes	characteristic
319	C₂×C₄	C₂²×C₅×D₄	1	1	yes	characteristic
320	C₂×C₄	C₂²×C₅×Q₈	1	1	yes	characteristic
321	C₂×C₄	C₂²×C₅×Q₈	1	1	yes	characteristic
322	C₂×C₄	C₂×C₅×#41	1	1	yes	characteristic
323	C₈	—	2	8	no	—
324	C₈	—	2	4	no	—
325	C₈	C₂×C₅×C₄⋊C₄	1	4	yes	—
326	C₈	C₂×C₅×C₄⋊C₄	1	4	yes	—
327	C₅	C₂×#1952	1	1	yes	characteristic, direct product factor, Sylow
328	C₂²	—	2	1	no	—
329	C₂²	—	2	1	no	—
330	C₂²	—	2	1	no	—
331	C₂²	—	2	1	no	—
332	C₂²	—	2	4	no	—
333	C₂²	—	2	4	no	—
334	C₂²	C₅×#389	1	2	yes	—
335	C₂²	C₅×#389	1	2	yes	—
336	C₂²	C₅×#472	1	2	yes	—
337	C₂²	C₅×#473	1	2	yes	—
338	C₂²	C₂×C₄×C₅×Q₈	1	1	yes	characteristic
339	C₂²	C₂×C₅×#121	1	1	yes	characteristic
340	C₂²	C₂×C₅×#125	1	1	yes	characteristic
341	C₄	—	4	2	no	—
342	C₄	—	4	2	no	—
343	C₄	—	8	4	no	—
344	C₄	C₅×#389	1	2	yes	—
345	C₄	C₅×#389	1	2	yes	—
346	C₄	C₂²×C₅×C₄⋊C₄	1	1	yes	characteristic
347	C₄	C₂×C₄×C₅×D₄	1	1	yes	characteristic
348	C₄	C₂×C₅×C₂²⋊Q₈	1	1	yes	characteristic
349	C₄	C₂×C₅×C₄⋊Q₈	1	1	yes	characteristic
350	C₂	—	2	2	no	—
351	C₂	—	2	1	no	—
352	C₂	—	2	1	no	—
353	C₂	C₅×#1952	1	4	yes	direct product factor
354	C₂	C₂×C₅×#389	1	1	yes	characteristic
355	C₂	C₂×C₅×#472	1	1	yes	characteristic
356	C₂	C₂×C₅×#473	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₅	#121
commutator	C₂×C₄	C₂³×C₄×C₅
Frattini, cosocle	C₂²×C₄	C₂⁴×C₅
prime radical	C₂⁴×C₅	#41
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³×C₅ ◁ C₂³×C₄×C₅ ◁ G

Complements

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

N	H ≅ G/N	type
5. C₅×#1952	C₂	direct (N × H)
12. C₂×C₅×#108	C₄	semidirect
27. C₂×#1952	C₅	direct (N × H)
60. C₅×#108	C₂×C₄	semidirect
71. #1952	C₂×C₅	direct (N × H)
124. C₂×#108	C₄×C₅	semidirect
208. #108	C₂×C₄×C₅	semidirect
286. C₂×C₅	#1952	direct (N × H)
327. C₅	C₂×#1952	direct (N × H)
353. C₂	C₅×#1952	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂²×C₅×#108	2
C₂×C₅×#428	2
C₂²×C₅×#107	2
C₂×C₅×#405	2
C₅×#1952	2
C₂×C₅×#343	2
C₂×#1952	5

Subgroups — C2×C5×#1952 #11943900

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×C₅×#1952 #11943900