Subgroups — C₃×C₅×#3264 #14276298

Order 1920.

1136 conjugacy classes of subgroups.

The subgroup lattice has 904 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₃×C₅×AGL(1,ℤ/8)	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂²×C₃×C₅×D₈	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×C₅×#546	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃×C₅×D₄²	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃×C₅×#496	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃×C₅×#469	C₂	1	1	yes	maximal, characteristic, complemented
7	C₃×C₅×#465	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃×C₅×#463	C₂	1	1	yes	maximal, characteristic, complemented
9	C₃×C₅×#459	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃×C₅×#450	C₂	1	1	yes	maximal, characteristic, complemented
11	C₃×C₅×#449	C₂	1	1	yes	maximal, characteristic, complemented
12	C₃×C₅×#447	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃×C₅×#447	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃×C₅×#442	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃×C₅×#435	C₂	1	1	yes	maximal, characteristic, complemented
16	C₅×#3264	C₃	1	1	yes	maximal, characteristic, direct product factor, Hall
17	C₂×C₃×C₅×#41	C₂²	1	1	yes	characteristic, complemented
18	C₂²×C₃×C₅×D₄	—	2	1	no	—
19	C₂²×C₃×C₅×D₄	C₂²	1	1	yes	characteristic
20	C₂²×C₃×C₅×D₄	C₂²	1	1	yes	characteristic, complemented
21	C₂²×C₃×C₅×D₄	C₂²	1	1	yes	characteristic, complemented
22	C₃×C₅×AGL(1,ℤ/8)	—	2	4	no	—
23	C₂×C₃×C₅×SD₁₆	C₂²	1	1	yes	characteristic, complemented
24	C₂×C₃×C₅×SD₁₆	C₂²	1	1	yes	characteristic, complemented
25	C₂×C₃×C₅×SD₁₆	C₂²	1	1	yes	characteristic, complemented
26	C₂×C₃×C₅×D₈	—	2	4	no	—
27	C₂×C₃×C₅×D₈	C₂²	1	1	yes	characteristic
28	C₂×C₃×C₅×D₈	C₂²	1	1	yes	characteristic
29	C₂×C₃×C₅×D₈	C₂²	1	1	yes	characteristic, complemented
30	C₂×C₃×C₅×D₈	C₂²	1	1	yes	characteristic, complemented
31	C₂×C₃×C₅×D₈	C₂²	1	1	yes	characteristic, complemented
32	C₂×C₃×C₅×D₈	C₂²	1	1	yes	characteristic, complemented
33	C₂×C₃×C₅×M₁₆	C₂²	1	1	yes	characteristic, complemented
34	C₂²×C₃×C₅×C₈	C₂²	1	1	yes	characteristic, complemented
35	C₃×C₅×#127	C₂²	1	1	yes	characteristic, complemented
36	C₃×C₅×#124	C₂²	1	1	yes	characteristic, complemented
37	C₃×C₅×#123	—	2	1	no	—
38	C₃×C₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
39	C₃×C₅×#121	—	2	1	no	—
40	C₃×C₅×#121	—	2	1	no	—
41	C₃×C₅×#121	C₂²	1	1	yes	characteristic
42	C₃×C₅×#121	C₂²	1	1	yes	characteristic, complemented
43	C₃×C₅×#121	C₂²	1	1	yes	characteristic, complemented
44	C₃×C₅×#120	—	2	1	no	—
45	C₃×C₅×#120	—	2	1	no	—
46	C₃×C₅×#120	—	2	1	no	—
47	C₃×C₄×C₅×D₄	C₂²	1	1	yes	characteristic
48	C₃×C₄×C₅×D₄	C₂²	1	1	yes	characteristic, complemented
49	C₃×C₄×C₅×D₄	C₂²	1	1	yes	characteristic, complemented
50	C₂×C₃×C₅×C₂²⋊C₄	—	2	1	no	—
51	C₃×C₅×#106	C₂²	1	1	yes	characteristic, complemented
52	C₃×C₅×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
53	C₃×C₅×#103	C₂²	1	1	yes	characteristic, complemented
54	C₃×C₅×#102	C₂²	1	1	yes	characteristic, complemented
55	C₃×C₅×#102	C₂²	1	1	yes	characteristic, complemented
56	C₃×C₅×#102	C₂²	1	1	yes	characteristic, complemented
57	C₃×C₅×#102	C₂²	1	1	yes	characteristic, complemented
58	C₃×C₅×#102	C₂²	1	1	yes	characteristic, complemented
59	C₃×C₅×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
60	C₃×C₅×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
61	C₃×C₅×#97	C₂²	1	1	yes	characteristic, complemented
62	C₃×#3264	C₅	1	1	yes	maximal, characteristic, direct product factor, Hall
63	C₂×C₅×AGL(1,ℤ/8)	C₂×C₃	1	1	yes	characteristic, complemented
64	C₂²×C₅×D₈	C₂×C₃	1	1	yes	characteristic, complemented
65	C₅×#546	C₂×C₃	1	1	yes	characteristic, complemented
66	C₅×D₄²	C₂×C₃	1	1	yes	characteristic, complemented
67	C₅×#496	C₂×C₃	1	1	yes	characteristic, complemented
68	C₅×#469	C₂×C₃	1	1	yes	characteristic, complemented
69	C₅×#465	C₂×C₃	1	1	yes	characteristic, complemented
70	C₅×#463	C₂×C₃	1	1	yes	characteristic, complemented
71	C₅×#459	C₂×C₃	1	1	yes	characteristic, complemented
72	C₅×#450	C₂×C₃	1	1	yes	characteristic, complemented
73	C₅×#449	C₂×C₃	1	1	yes	characteristic, complemented
74	C₅×#447	C₂×C₃	1	1	yes	characteristic, complemented
75	C₅×#447	C₂×C₃	1	1	yes	characteristic, complemented
76	C₅×#442	C₂×C₃	1	1	yes	characteristic, complemented
77	C₅×#435	C₂×C₃	1	1	yes	characteristic, complemented
78	C₂⁴×C₃×C₅	—	2	1	no	—
79	C₂⁴×C₃×C₅	—	2	1	no	—
80	C₂⁴×C₃×C₅	—	2	1	no	—
81	C₃×C₅×#41	—	2	2	no	—
82	C₃×C₅×#41	—	4	1	no	—
83	C₂×C₃×C₅×Q₈	C₂³	1	1	yes	characteristic
84	C₂×C₃×C₅×D₄	—	2	2	no	—
85	C₂×C₃×C₅×D₄	—	2	2	no	—
86	C₂×C₃×C₅×D₄	—	2	2	no	—
87	C₂×C₃×C₅×D₄	—	2	1	no	—
88	C₂×C₃×C₅×D₄	—	2	1	no	—
89	C₂×C₃×C₅×D₄	—	2	1	no	—
90	C₂×C₃×C₅×D₄	—	2	1	no	—
91	C₂×C₃×C₅×D₄	—	2	1	no	—
92	C₂×C₃×C₅×D₄	—	2	1	no	—
93	C₂×C₃×C₅×D₄	—	2	1	no	—
94	C₂×C₃×C₅×D₄	—	2	1	no	—
95	C₂×C₃×C₅×D₄	—	2	1	no	—
96	C₂×C₃×C₅×D₄	—	4	1	no	—
97	C₂×C₃×C₅×D₄	—	4	1	no	—
98	C₂×C₃×C₅×D₄	—	4	1	no	—
99	C₂×C₃×C₅×D₄	—	4	4	no	—
100	C₂×C₃×C₅×D₄	D₄	1	1	yes	characteristic
101	C₂×C₃×C₅×D₄	C₂³	1	1	yes	characteristic
102	C₂×C₃×C₅×D₄	C₂³	1	1	yes	characteristic
103	C₂×C₃×C₅×D₄	C₂³	1	1	yes	characteristic
104	C₂×C₃×C₅×D₄	C₂³	1	1	yes	characteristic
105	C₂×C₃×C₅×D₄	C₂³	1	1	yes	characteristic
106	C₂²×C₃×C₄×C₅	—	2	1	no	—
107	C₂²×C₃×C₄×C₅	—	2	1	no	—
108	C₂²×C₃×C₄×C₅	—	2	1	no	—
109	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
110	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
111	C₃×C₅×SD₁₆	—	2	2	no	—
112	C₃×C₅×SD₁₆	—	2	2	no	—
113	C₃×C₅×SD₁₆	—	4	1	no	—
114	C₃×C₅×D₈	—	2	2	no	—
115	C₃×C₅×D₈	—	2	2	no	—
116	C₃×C₅×D₈	—	2	2	no	—
117	C₃×C₅×D₈	—	2	2	no	—
118	C₃×C₅×D₈	—	4	1	no	—
119	C₃×C₅×D₈	D₄	1	4	yes	complemented
120	C₃×C₅×M₁₆	—	2	2	no	—
121	C₂×C₃×C₅×C₈	—	2	2	no	—
122	C₂×C₃×C₅×C₈	C₂³	1	1	yes	characteristic
123	C₂×C₃×C₅×C₈	C₂³	1	1	yes	characteristic
124	C₂×C₃×C₅×C₈	C₂³	1	1	yes	characteristic
125	C₂×C₃×C₅×C₈	C₂³	1	1	yes	characteristic
126	C₃×C₅×C₄⋊C₄	—	2	1	no	—
127	C₃×C₅×C₄⋊C₄	D₄	1	1	yes	characteristic
128	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
129	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
130	C₃×C₅×C₂²⋊C₄	—	2	1	no	—
131	C₃×C₅×C₂²⋊C₄	—	2	1	no	—
132	C₃×C₅×C₂²⋊C₄	—	2	1	no	—
133	C₃×C₅×C₂²⋊C₄	—	2	1	no	—
134	C₃×C₅×C₂²⋊C₄	—	2	1	no	—
135	C₃×C₅×C₂²⋊C₄	—	2	1	no	—
136	C₃×C₅×C₂²⋊C₄	—	2	1	no	—
137	C₃×C₅×C₂²⋊C₄	—	2	1	no	—
138	C₃×C₅×C₂²⋊C₄	D₄	1	1	yes	characteristic
139	C₃×C₅×C₂²⋊C₄	D₄	1	1	yes	characteristic
140	C₃×C₄²×C₅	C₂³	1	1	yes	characteristic
141	C₂×C₃×AGL(1,ℤ/8)	C₂×C₅	1	1	yes	characteristic, complemented
142	C₂²×C₃×D₈	C₂×C₅	1	1	yes	characteristic, complemented
143	C₃×#546	C₂×C₅	1	1	yes	characteristic, complemented
144	C₃×D₄²	C₂×C₅	1	1	yes	characteristic, complemented
145	C₃×#496	C₂×C₅	1	1	yes	characteristic, complemented
146	C₃×#469	C₂×C₅	1	1	yes	characteristic, complemented
147	C₃×#465	C₂×C₅	1	1	yes	characteristic, complemented
148	C₃×#463	C₂×C₅	1	1	yes	characteristic, complemented
149	C₃×#459	C₂×C₅	1	1	yes	characteristic, complemented
150	C₃×#450	C₂×C₅	1	1	yes	characteristic, complemented
151	C₃×#449	C₂×C₅	1	1	yes	characteristic, complemented
152	C₃×#447	C₂×C₅	1	1	yes	characteristic, complemented
153	C₃×#447	C₂×C₅	1	1	yes	characteristic, complemented
154	C₃×#442	C₂×C₅	1	1	yes	characteristic, complemented
155	C₃×#435	C₂×C₅	1	1	yes	characteristic, complemented
156	C₂×C₅×#41	C₂²×C₃	1	1	yes	characteristic, complemented
157	C₂²×C₅×D₄	—	2	1	no	—
158	C₂²×C₅×D₄	C₂²×C₃	1	1	yes	characteristic
159	C₂²×C₅×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
160	C₂²×C₅×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
161	C₅×AGL(1,ℤ/8)	—	2	4	no	—
162	C₂×C₅×SD₁₆	C₂²×C₃	1	1	yes	characteristic, complemented
163	C₂×C₅×SD₁₆	C₂²×C₃	1	1	yes	characteristic, complemented
164	C₂×C₅×SD₁₆	C₂²×C₃	1	1	yes	characteristic, complemented
165	C₂×C₅×D₈	—	2	4	no	—
166	C₂×C₅×D₈	C₂²×C₃	1	1	yes	characteristic
167	C₂×C₅×D₈	C₂²×C₃	1	1	yes	characteristic
168	C₂×C₅×D₈	C₂²×C₃	1	1	yes	characteristic, complemented
169	C₂×C₅×D₈	C₂²×C₃	1	1	yes	characteristic, complemented
170	C₂×C₅×D₈	C₂²×C₃	1	1	yes	characteristic, complemented
171	C₂×C₅×D₈	C₂²×C₃	1	1	yes	characteristic, complemented
172	C₂×C₅×M₁₆	C₂²×C₃	1	1	yes	characteristic, complemented
173	C₂²×C₅×C₈	C₂²×C₃	1	1	yes	characteristic, complemented
174	C₅×#127	C₂²×C₃	1	1	yes	characteristic, complemented
175	C₅×#124	C₂²×C₃	1	1	yes	characteristic, complemented
176	C₅×#123	—	2	1	no	—
177	C₅×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
178	C₅×#121	—	2	1	no	—
179	C₅×#121	—	2	1	no	—
180	C₅×#121	C₂²×C₃	1	1	yes	characteristic
181	C₅×#121	C₂²×C₃	1	1	yes	characteristic, complemented
182	C₅×#121	C₂²×C₃	1	1	yes	characteristic, complemented
183	C₅×#120	—	2	1	no	—
184	C₅×#120	—	2	1	no	—
185	C₅×#120	—	2	1	no	—
186	C₄×C₅×D₄	C₂²×C₃	1	1	yes	characteristic
187	C₄×C₅×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
188	C₄×C₅×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
189	C₂×C₅×C₂²⋊C₄	—	2	1	no	—
190	C₅×#106	C₂²×C₃	1	1	yes	characteristic, complemented
191	C₅×C₄⋊C₈	C₂²×C₃	1	1	yes	characteristic, complemented
192	C₅×#103	C₂²×C₃	1	1	yes	characteristic, complemented
193	C₅×#102	C₂²×C₃	1	1	yes	characteristic, complemented
194	C₅×#102	C₂²×C₃	1	1	yes	characteristic, complemented
195	C₅×#102	C₂²×C₃	1	1	yes	characteristic, complemented
196	C₅×#102	C₂²×C₃	1	1	yes	characteristic, complemented
197	C₅×#102	C₂²×C₃	1	1	yes	characteristic, complemented
198	C₅×C₂²⋊C₈	C₂²×C₃	1	1	yes	characteristic, complemented
199	C₅×C₂²⋊C₈	C₂²×C₃	1	1	yes	characteristic, complemented
200	C₅×#97	C₂²×C₃	1	1	yes	characteristic, complemented
201	#3264	C₃×C₅	1	1	yes	characteristic, direct product factor, Sylow
202	C₂³×C₃×C₅	—	2	1	no	—
203	C₂³×C₃×C₅	—	2	1	no	—
204	C₂³×C₃×C₅	—	2	1	no	—
205	C₂³×C₃×C₅	—	2	1	no	—
206	C₂³×C₃×C₅	—	2	1	no	—
207	C₂³×C₃×C₅	—	4	2	no	—
208	C₂³×C₃×C₅	—	4	2	no	—
209	C₂³×C₃×C₅	—	4	2	no	—
210	C₂³×C₃×C₅	—	4	2	no	—
211	C₂³×C₃×C₅	—	4	2	no	—
212	C₂³×C₃×C₅	—	4	2	no	—
213	C₂³×C₃×C₅	—	8	1	no	—
214	C₂³×C₃×C₅	—	8	1	no	—
215	C₂³×C₃×C₅	—	8	1	no	—
216	C₂³×C₃×C₅	C₂×D₄	1	1	yes	characteristic
217	C₂³×C₃×C₅	C₂×D₄	1	1	yes	characteristic
218	C₃×C₅×Q₈	—	2	1	no	—
219	C₃×C₅×Q₈	—	2	1	no	—
220	C₃×C₅×D₄	—	2	2	no	—
221	C₃×C₅×D₄	—	2	1	no	—
222	C₃×C₅×D₄	—	2	1	no	—
223	C₃×C₅×D₄	—	2	1	no	—
224	C₃×C₅×D₄	—	2	1	no	—
225	C₃×C₅×D₄	—	2	1	no	—
226	C₃×C₅×D₄	—	2	1	no	—
227	C₃×C₅×D₄	—	2	1	no	—
228	C₃×C₅×D₄	—	2	1	no	—
229	C₃×C₅×D₄	—	4	2	no	—
230	C₃×C₅×D₄	—	4	2	no	—
231	C₃×C₅×D₄	—	4	2	no	—
232	C₃×C₅×D₄	—	4	2	no	—
233	C₃×C₅×D₄	—	4	2	no	—
234	C₃×C₅×D₄	—	4	2	no	—
235	C₃×C₅×D₄	—	4	2	no	—
236	C₃×C₅×D₄	—	8	1	no	—
237	C₃×C₅×D₄	—	8	1	no	—
238	C₃×C₅×D₄	C₂×D₄	1	2	yes	—
239	C₃×C₅×D₄	C₂×D₄	1	2	yes	complemented
240	C₂×C₃×C₄×C₅	—	2	1	no	—
241	C₂×C₃×C₄×C₅	—	2	1	no	—
242	C₂×C₃×C₄×C₅	—	2	1	no	—
243	C₂×C₃×C₄×C₅	—	2	1	no	—
244	C₂×C₃×C₄×C₅	—	2	1	no	—
245	C₂×C₃×C₄×C₅	—	2	1	no	—
246	C₂×C₃×C₄×C₅	—	2	1	no	—
247	C₂×C₃×C₄×C₅	—	4	2	no	—
248	C₂×C₃×C₄×C₅	—	4	2	no	—
249	C₂×C₃×C₄×C₅	—	8	1	no	—
250	C₂×C₃×C₄×C₅	C₂×D₄	1	1	yes	characteristic
251	C₂×C₃×C₄×C₅	C₂×D₄	1	1	yes	characteristic
252	C₂×C₃×C₄×C₅	C₂×D₄	1	1	yes	characteristic
253	C₂×C₃×C₄×C₅	C₂×D₄	1	1	yes	characteristic
254	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
255	C₃×C₅×C₈	—	2	1	no	—
256	C₃×C₅×C₈	—	2	1	no	—
257	C₃×C₅×C₈	—	2	1	no	—
258	C₃×C₅×C₈	C₂×D₄	1	2	yes	complemented
259	C₂×C₃×#41	C₂²×C₅	1	1	yes	characteristic, complemented
260	C₂²×C₃×D₄	—	2	1	no	—
261	C₂²×C₃×D₄	C₂²×C₅	1	1	yes	characteristic
262	C₂²×C₃×D₄	C₂²×C₅	1	1	yes	characteristic, complemented
263	C₂²×C₃×D₄	C₂²×C₅	1	1	yes	characteristic, complemented
264	C₃×AGL(1,ℤ/8)	—	2	4	no	—
265	C₂×C₃×SD₁₆	C₂²×C₅	1	1	yes	characteristic, complemented
266	C₂×C₃×SD₁₆	C₂²×C₅	1	1	yes	characteristic, complemented
267	C₂×C₃×SD₁₆	C₂²×C₅	1	1	yes	characteristic, complemented
268	C₂×C₃×D₈	—	2	4	no	—
269	C₂×C₃×D₈	C₂²×C₅	1	1	yes	characteristic
270	C₂×C₃×D₈	C₂²×C₅	1	1	yes	characteristic
271	C₂×C₃×D₈	C₂²×C₅	1	1	yes	characteristic, complemented
272	C₂×C₃×D₈	C₂²×C₅	1	1	yes	characteristic, complemented
273	C₂×C₃×D₈	C₂²×C₅	1	1	yes	characteristic, complemented
274	C₂×C₃×D₈	C₂²×C₅	1	1	yes	characteristic, complemented
275	C₂×C₃×M₁₆	C₂²×C₅	1	1	yes	characteristic, complemented
276	C₂²×C₃×C₈	C₂²×C₅	1	1	yes	characteristic, complemented
277	C₃×#127	C₂²×C₅	1	1	yes	characteristic, complemented
278	C₃×#124	C₂²×C₅	1	1	yes	characteristic, complemented
279	C₃×#123	—	2	1	no	—
280	C₃×C₂²⋊Q₈	C₂²×C₅	1	1	yes	characteristic, complemented
281	C₃×#121	—	2	1	no	—
282	C₃×#121	—	2	1	no	—
283	C₃×#121	C₂²×C₅	1	1	yes	characteristic
284	C₃×#121	C₂²×C₅	1	1	yes	characteristic, complemented
285	C₃×#121	C₂²×C₅	1	1	yes	characteristic, complemented
286	C₃×#120	—	2	1	no	—
287	C₃×#120	—	2	1	no	—
288	C₃×#120	—	2	1	no	—
289	C₃×C₄×D₄	C₂²×C₅	1	1	yes	characteristic
290	C₃×C₄×D₄	C₂²×C₅	1	1	yes	characteristic, complemented
291	C₃×C₄×D₄	C₂²×C₅	1	1	yes	characteristic, complemented
292	C₂×C₃×C₂²⋊C₄	—	2	1	no	—
293	C₃×#106	C₂²×C₅	1	1	yes	characteristic, complemented
294	C₃×C₄⋊C₈	C₂²×C₅	1	1	yes	characteristic, complemented
295	C₃×#103	C₂²×C₅	1	1	yes	characteristic, complemented
296	C₃×#102	C₂²×C₅	1	1	yes	characteristic, complemented
297	C₃×#102	C₂²×C₅	1	1	yes	characteristic, complemented
298	C₃×#102	C₂²×C₅	1	1	yes	characteristic, complemented
299	C₃×#102	C₂²×C₅	1	1	yes	characteristic, complemented
300	C₃×#102	C₂²×C₅	1	1	yes	characteristic, complemented
301	C₃×C₂²⋊C₈	C₂²×C₅	1	1	yes	characteristic, complemented
302	C₃×C₂²⋊C₈	C₂²×C₅	1	1	yes	characteristic, complemented
303	C₃×#97	C₂²×C₅	1	1	yes	characteristic, complemented
304	C₂⁴×C₅	—	2	1	no	—
305	C₂⁴×C₅	—	2	1	no	—
306	C₂⁴×C₅	—	2	1	no	—
307	C₅×#41	—	2	2	no	—
308	C₅×#41	—	4	1	no	—
309	C₂×C₅×Q₈	C₂³×C₃	1	1	yes	characteristic
310	C₂×C₅×D₄	—	2	2	no	—
311	C₂×C₅×D₄	—	2	2	no	—
312	C₂×C₅×D₄	—	2	2	no	—
313	C₂×C₅×D₄	—	2	1	no	—
314	C₂×C₅×D₄	—	2	1	no	—
315	C₂×C₅×D₄	—	2	1	no	—
316	C₂×C₅×D₄	—	2	1	no	—
317	C₂×C₅×D₄	—	2	1	no	—
318	C₂×C₅×D₄	—	2	1	no	—
319	C₂×C₅×D₄	—	2	1	no	—
320	C₂×C₅×D₄	—	2	1	no	—
321	C₂×C₅×D₄	—	2	1	no	—
322	C₂×C₅×D₄	—	4	1	no	—
323	C₂×C₅×D₄	—	4	1	no	—
324	C₂×C₅×D₄	—	4	1	no	—
325	C₂×C₅×D₄	—	4	4	no	—
326	C₂×C₅×D₄	C₃×D₄	1	1	yes	characteristic
327	C₂×C₅×D₄	C₂³×C₃	1	1	yes	characteristic
328	C₂×C₅×D₄	C₂³×C₃	1	1	yes	characteristic
329	C₂×C₅×D₄	C₂³×C₃	1	1	yes	characteristic
330	C₂×C₅×D₄	C₂³×C₃	1	1	yes	characteristic
331	C₂×C₅×D₄	C₂³×C₃	1	1	yes	characteristic
332	C₂²×C₄×C₅	—	2	1	no	—
333	C₂²×C₄×C₅	—	2	1	no	—
334	C₂²×C₄×C₅	—	2	1	no	—
335	C₂²×C₄×C₅	C₂³×C₃	1	1	yes	characteristic
336	C₂²×C₄×C₅	C₂³×C₃	1	1	yes	characteristic
337	C₅×SD₁₆	—	2	2	no	—
338	C₅×SD₁₆	—	2	2	no	—
339	C₅×SD₁₆	—	4	1	no	—
340	C₅×D₈	—	2	2	no	—
341	C₅×D₈	—	2	2	no	—
342	C₅×D₈	—	2	2	no	—
343	C₅×D₈	—	2	2	no	—
344	C₅×D₈	—	4	1	no	—
345	C₅×D₈	C₃×D₄	1	4	yes	complemented
346	C₅×M₁₆	—	2	2	no	—
347	C₂×C₅×C₈	—	2	2	no	—
348	C₂×C₅×C₈	C₂³×C₃	1	1	yes	characteristic
349	C₂×C₅×C₈	C₂³×C₃	1	1	yes	characteristic
350	C₂×C₅×C₈	C₂³×C₃	1	1	yes	characteristic
351	C₂×C₅×C₈	C₂³×C₃	1	1	yes	characteristic
352	C₅×C₄⋊C₄	—	2	1	no	—
353	C₅×C₄⋊C₄	C₃×D₄	1	1	yes	characteristic
354	C₅×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
355	C₅×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
356	C₅×C₂²⋊C₄	—	2	1	no	—
357	C₅×C₂²⋊C₄	—	2	1	no	—
358	C₅×C₂²⋊C₄	—	2	1	no	—
359	C₅×C₂²⋊C₄	—	2	1	no	—
360	C₅×C₂²⋊C₄	—	2	1	no	—
361	C₅×C₂²⋊C₄	—	2	1	no	—
362	C₅×C₂²⋊C₄	—	2	1	no	—
363	C₅×C₂²⋊C₄	—	2	1	no	—
364	C₅×C₂²⋊C₄	C₃×D₄	1	1	yes	characteristic
365	C₅×C₂²⋊C₄	C₃×D₄	1	1	yes	characteristic
366	C₄²×C₅	C₂³×C₃	1	1	yes	characteristic
367	C₂×AGL(1,ℤ/8)	C₂×C₃×C₅	1	1	yes	characteristic, complemented
368	C₂²×D₈	C₂×C₃×C₅	1	1	yes	characteristic, complemented
369	#546	C₂×C₃×C₅	1	1	yes	characteristic, complemented
370	D₄²	C₂×C₃×C₅	1	1	yes	characteristic, complemented
371	#496	C₂×C₃×C₅	1	1	yes	characteristic, complemented
372	#469	C₂×C₃×C₅	1	1	yes	characteristic, complemented
373	#465	C₂×C₃×C₅	1	1	yes	characteristic, complemented
374	#463	C₂×C₃×C₅	1	1	yes	characteristic, complemented
375	#459	C₂×C₃×C₅	1	1	yes	characteristic, complemented
376	#450	C₂×C₃×C₅	1	1	yes	characteristic, complemented
377	#449	C₂×C₃×C₅	1	1	yes	characteristic, complemented
378	#447	C₂×C₃×C₅	1	1	yes	characteristic, complemented
379	#447	C₂×C₃×C₅	1	1	yes	characteristic, complemented
380	#442	C₂×C₃×C₅	1	1	yes	characteristic, complemented
381	#435	C₂×C₃×C₅	1	1	yes	characteristic, complemented
382	C₂²×C₃×C₅	—	2	1	no	—
383	C₂²×C₃×C₅	—	2	1	no	—
384	C₂²×C₃×C₅	—	2	1	no	—
385	C₂²×C₃×C₅	—	2	2	no	—
386	C₂²×C₃×C₅	—	2	2	no	—
387	C₂²×C₃×C₅	—	2	1	no	—
388	C₂²×C₃×C₅	—	2	1	no	—
389	C₂²×C₃×C₅	—	4	1	no	—
390	C₂²×C₃×C₅	—	4	1	no	—
391	C₂²×C₃×C₅	—	4	1	no	—
392	C₂²×C₃×C₅	—	4	1	no	—
393	C₂²×C₃×C₅	—	4	1	no	—
394	C₂²×C₃×C₅	—	4	1	no	—
395	C₂²×C₃×C₅	—	4	1	no	—
396	C₂²×C₃×C₅	—	4	1	no	—
397	C₂²×C₃×C₅	—	4	1	no	—
398	C₂²×C₃×C₅	—	4	1	no	—
399	C₂²×C₃×C₅	—	4	1	no	—
400	C₂²×C₃×C₅	—	4	1	no	—
401	C₂²×C₃×C₅	—	4	1	no	—
402	C₂²×C₃×C₅	—	8	4	no	—
403	C₂²×C₃×C₅	—	8	4	no	—
404	C₂²×C₃×C₅	—	8	4	no	—
405	C₂²×C₃×C₅	AGL(1,ℤ/8)	1	2	yes	complemented
406	C₂²×C₃×C₅	C₂²×D₄	1	1	yes	characteristic
407	C₃×C₄×C₅	—	2	1	no	—
408	C₃×C₄×C₅	—	2	1	no	—
409	C₃×C₄×C₅	—	2	1	no	—
410	C₃×C₄×C₅	—	2	1	no	—
411	C₃×C₄×C₅	—	4	1	no	—
412	C₃×C₄×C₅	—	4	1	no	—
413	C₃×C₄×C₅	—	4	1	no	—
414	C₃×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
415	C₃×C₄×C₅	H(5,𝔽₂)	1	1	yes	characteristic
416	C₂⁴×C₃	—	2	1	no	—
417	C₂⁴×C₃	—	2	1	no	—
418	C₂⁴×C₃	—	2	1	no	—
419	C₃×#41	—	2	2	no	—
420	C₃×#41	—	4	1	no	—
421	C₂×C₃×Q₈	C₂³×C₅	1	1	yes	characteristic
422	C₂×C₃×D₄	—	2	2	no	—
423	C₂×C₃×D₄	—	2	2	no	—
424	C₂×C₃×D₄	—	2	2	no	—
425	C₂×C₃×D₄	—	2	1	no	—
426	C₂×C₃×D₄	—	2	1	no	—
427	C₂×C₃×D₄	—	2	1	no	—
428	C₂×C₃×D₄	—	2	1	no	—
429	C₂×C₃×D₄	—	2	1	no	—
430	C₂×C₃×D₄	—	2	1	no	—
431	C₂×C₃×D₄	—	2	1	no	—
432	C₂×C₃×D₄	—	2	1	no	—
433	C₂×C₃×D₄	—	2	1	no	—
434	C₂×C₃×D₄	—	4	1	no	—
435	C₂×C₃×D₄	—	4	1	no	—
436	C₂×C₃×D₄	—	4	1	no	—
437	C₂×C₃×D₄	—	4	4	no	—
438	C₂×C₃×D₄	C₅×D₄	1	1	yes	characteristic
439	C₂×C₃×D₄	C₂³×C₅	1	1	yes	characteristic
440	C₂×C₃×D₄	C₂³×C₅	1	1	yes	characteristic
441	C₂×C₃×D₄	C₂³×C₅	1	1	yes	characteristic
442	C₂×C₃×D₄	C₂³×C₅	1	1	yes	characteristic
443	C₂×C₃×D₄	C₂³×C₅	1	1	yes	characteristic
444	C₂²×C₃×C₄	—	2	1	no	—
445	C₂²×C₃×C₄	—	2	1	no	—
446	C₂²×C₃×C₄	—	2	1	no	—
447	C₂²×C₃×C₄	C₂³×C₅	1	1	yes	characteristic
448	C₂²×C₃×C₄	C₂³×C₅	1	1	yes	characteristic
449	C₃×SD₁₆	—	2	2	no	—
450	C₃×SD₁₆	—	2	2	no	—
451	C₃×SD₁₆	—	4	1	no	—
452	C₃×D₈	—	2	2	no	—
453	C₃×D₈	—	2	2	no	—
454	C₃×D₈	—	2	2	no	—
455	C₃×D₈	—	2	2	no	—
456	C₃×D₈	—	4	1	no	—
457	C₃×D₈	C₅×D₄	1	4	yes	complemented
458	C₃×M₁₆	—	2	2	no	—
459	C₂×C₃×C₈	—	2	2	no	—
460	C₂×C₃×C₈	C₂³×C₅	1	1	yes	characteristic
461	C₂×C₃×C₈	C₂³×C₅	1	1	yes	characteristic
462	C₂×C₃×C₈	C₂³×C₅	1	1	yes	characteristic
463	C₂×C₃×C₈	C₂³×C₅	1	1	yes	characteristic
464	C₃×C₄⋊C₄	—	2	1	no	—
465	C₃×C₄⋊C₄	C₅×D₄	1	1	yes	characteristic
466	C₃×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
467	C₃×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
468	C₃×C₂²⋊C₄	—	2	1	no	—
469	C₃×C₂²⋊C₄	—	2	1	no	—
470	C₃×C₂²⋊C₄	—	2	1	no	—
471	C₃×C₂²⋊C₄	—	2	1	no	—
472	C₃×C₂²⋊C₄	—	2	1	no	—
473	C₃×C₂²⋊C₄	—	2	1	no	—
474	C₃×C₂²⋊C₄	—	2	1	no	—
475	C₃×C₂²⋊C₄	—	2	1	no	—
476	C₃×C₂²⋊C₄	C₅×D₄	1	1	yes	characteristic
477	C₃×C₂²⋊C₄	C₅×D₄	1	1	yes	characteristic
478	C₃×C₄²	C₂³×C₅	1	1	yes	characteristic
479	C₂³×C₅	—	2	1	no	—
480	C₂³×C₅	—	2	1	no	—
481	C₂³×C₅	—	2	1	no	—
482	C₂³×C₅	—	2	1	no	—
483	C₂³×C₅	—	2	1	no	—
484	C₂³×C₅	—	4	2	no	—
485	C₂³×C₅	—	4	2	no	—
486	C₂³×C₅	—	4	2	no	—
487	C₂³×C₅	—	4	2	no	—
488	C₂³×C₅	—	4	2	no	—
489	C₂³×C₅	—	4	2	no	—
490	C₂³×C₅	—	8	1	no	—
491	C₂³×C₅	—	8	1	no	—
492	C₂³×C₅	—	8	1	no	—
493	C₂³×C₅	C₂×C₃×D₄	1	1	yes	characteristic
494	C₂³×C₅	C₂×C₃×D₄	1	1	yes	characteristic
495	C₅×Q₈	—	2	1	no	—
496	C₅×Q₈	—	2	1	no	—
497	C₅×D₄	—	2	2	no	—
498	C₅×D₄	—	2	1	no	—
499	C₅×D₄	—	2	1	no	—
500	C₅×D₄	—	2	1	no	—
501	C₅×D₄	—	2	1	no	—
502	C₅×D₄	—	2	1	no	—
503	C₅×D₄	—	2	1	no	—
504	C₅×D₄	—	2	1	no	—
505	C₅×D₄	—	2	1	no	—
506	C₅×D₄	—	4	2	no	—
507	C₅×D₄	—	4	2	no	—
508	C₅×D₄	—	4	2	no	—
509	C₅×D₄	—	4	2	no	—
510	C₅×D₄	—	4	2	no	—
511	C₅×D₄	—	4	2	no	—
512	C₅×D₄	—	4	2	no	—
513	C₅×D₄	—	8	1	no	—
514	C₅×D₄	—	8	1	no	—
515	C₅×D₄	C₂×C₃×D₄	1	2	yes	—
516	C₅×D₄	C₂×C₃×D₄	1	2	yes	complemented
517	C₂×C₄×C₅	—	2	1	no	—
518	C₂×C₄×C₅	—	2	1	no	—
519	C₂×C₄×C₅	—	2	1	no	—
520	C₂×C₄×C₅	—	2	1	no	—
521	C₂×C₄×C₅	—	2	1	no	—
522	C₂×C₄×C₅	—	2	1	no	—
523	C₂×C₄×C₅	—	2	1	no	—
524	C₂×C₄×C₅	—	4	2	no	—
525	C₂×C₄×C₅	—	4	2	no	—
526	C₂×C₄×C₅	—	8	1	no	—
527	C₂×C₄×C₅	C₂×C₃×D₄	1	1	yes	characteristic
528	C₂×C₄×C₅	C₂×C₃×D₄	1	1	yes	characteristic
529	C₂×C₄×C₅	C₂×C₃×D₄	1	1	yes	characteristic
530	C₂×C₄×C₅	C₂×C₃×D₄	1	1	yes	characteristic
531	C₂×C₄×C₅	C₂⁴×C₃	1	1	yes	characteristic
532	C₅×C₈	—	2	1	no	—
533	C₅×C₈	—	2	1	no	—
534	C₅×C₈	—	2	1	no	—
535	C₅×C₈	C₂×C₃×D₄	1	2	yes	complemented
536	C₂×#41	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
537	C₂²×D₄	—	2	1	no	—
538	C₂²×D₄	C₂²×C₃×C₅	1	1	yes	characteristic
539	C₂²×D₄	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
540	C₂²×D₄	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
541	AGL(1,ℤ/8)	—	2	4	no	—
542	C₂×SD₁₆	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
543	C₂×SD₁₆	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
544	C₂×SD₁₆	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
545	C₂×D₈	—	2	4	no	—
546	C₂×D₈	C₂²×C₃×C₅	1	1	yes	characteristic
547	C₂×D₈	C₂²×C₃×C₅	1	1	yes	characteristic
548	C₂×D₈	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
549	C₂×D₈	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
550	C₂×D₈	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
551	C₂×D₈	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
552	C₂×M₁₆	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
553	C₂²×C₈	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
554	#127	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
555	#124	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
556	#123	—	2	1	no	—
557	C₂²⋊Q₈	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
558	#121	—	2	1	no	—
559	#121	—	2	1	no	—
560	#121	C₂²×C₃×C₅	1	1	yes	characteristic
561	#121	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
562	#121	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
563	#120	—	2	1	no	—
564	#120	—	2	1	no	—
565	#120	—	2	1	no	—
566	C₄×D₄	C₂²×C₃×C₅	1	1	yes	characteristic
567	C₄×D₄	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
568	C₄×D₄	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
569	C₂×C₂²⋊C₄	—	2	1	no	—
570	#106	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
571	C₄⋊C₈	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
572	#103	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
573	#102	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
574	#102	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
575	#102	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
576	#102	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
577	#102	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
578	C₂²⋊C₈	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
579	C₂²⋊C₈	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
580	#97	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
581	C₂×C₃×C₅	—	2	2	no	—
582	C₂×C₃×C₅	—	4	1	no	—
583	C₂×C₃×C₅	—	4	2	no	—
584	C₂×C₃×C₅	—	4	2	no	—
585	C₂×C₃×C₅	—	8	1	no	—
586	C₂×C₃×C₅	—	8	1	no	—
587	C₂×C₃×C₅	—	8	1	no	—
588	C₂×C₃×C₅	D₄²	1	1	yes	characteristic
589	C₂×C₃×C₅	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
590	C₂×C₃×C₅	#576	1	1	yes	characteristic
591	C₂³×C₃	—	2	1	no	—
592	C₂³×C₃	—	2	1	no	—
593	C₂³×C₃	—	2	1	no	—
594	C₂³×C₃	—	2	1	no	—
595	C₂³×C₃	—	2	1	no	—
596	C₂³×C₃	—	4	2	no	—
597	C₂³×C₃	—	4	2	no	—
598	C₂³×C₃	—	4	2	no	—
599	C₂³×C₃	—	4	2	no	—
600	C₂³×C₃	—	4	2	no	—
601	C₂³×C₃	—	4	2	no	—
602	C₂³×C₃	—	8	1	no	—
603	C₂³×C₃	—	8	1	no	—
604	C₂³×C₃	—	8	1	no	—
605	C₂³×C₃	C₂×C₅×D₄	1	1	yes	characteristic
606	C₂³×C₃	C₂×C₅×D₄	1	1	yes	characteristic
607	C₃×Q₈	—	2	1	no	—
608	C₃×Q₈	—	2	1	no	—
609	C₃×D₄	—	2	2	no	—
610	C₃×D₄	—	2	1	no	—
611	C₃×D₄	—	2	1	no	—
612	C₃×D₄	—	2	1	no	—
613	C₃×D₄	—	2	1	no	—
614	C₃×D₄	—	2	1	no	—
615	C₃×D₄	—	2	1	no	—
616	C₃×D₄	—	2	1	no	—
617	C₃×D₄	—	2	1	no	—
618	C₃×D₄	—	4	2	no	—
619	C₃×D₄	—	4	2	no	—
620	C₃×D₄	—	4	2	no	—
621	C₃×D₄	—	4	2	no	—
622	C₃×D₄	—	4	2	no	—
623	C₃×D₄	—	4	2	no	—
624	C₃×D₄	—	4	2	no	—
625	C₃×D₄	—	8	1	no	—
626	C₃×D₄	—	8	1	no	—
627	C₃×D₄	C₂×C₅×D₄	1	2	yes	—
628	C₃×D₄	C₂×C₅×D₄	1	2	yes	complemented
629	C₂×C₃×C₄	—	2	1	no	—
630	C₂×C₃×C₄	—	2	1	no	—
631	C₂×C₃×C₄	—	2	1	no	—
632	C₂×C₃×C₄	—	2	1	no	—
633	C₂×C₃×C₄	—	2	1	no	—
634	C₂×C₃×C₄	—	2	1	no	—
635	C₂×C₃×C₄	—	2	1	no	—
636	C₂×C₃×C₄	—	4	2	no	—
637	C₂×C₃×C₄	—	4	2	no	—
638	C₂×C₃×C₄	—	8	1	no	—
639	C₂×C₃×C₄	C₂×C₅×D₄	1	1	yes	characteristic
640	C₂×C₃×C₄	C₂×C₅×D₄	1	1	yes	characteristic
641	C₂×C₃×C₄	C₂×C₅×D₄	1	1	yes	characteristic
642	C₂×C₃×C₄	C₂×C₅×D₄	1	1	yes	characteristic
643	C₂×C₃×C₄	C₂⁴×C₅	1	1	yes	characteristic
644	C₃×C₈	—	2	1	no	—
645	C₃×C₈	—	2	1	no	—
646	C₃×C₈	—	2	1	no	—
647	C₃×C₈	C₂×C₅×D₄	1	2	yes	complemented
648	C₂²×C₅	—	2	1	no	—
649	C₂²×C₅	—	2	1	no	—
650	C₂²×C₅	—	2	1	no	—
651	C₂²×C₅	—	2	1	no	—
652	C₂²×C₅	—	2	1	no	—
653	C₂²×C₅	—	2	2	no	—
654	C₂²×C₅	—	2	2	no	—
655	C₂²×C₅	—	4	1	no	—
656	C₂²×C₅	—	4	1	no	—
657	C₂²×C₅	—	4	1	no	—
658	C₂²×C₅	—	4	1	no	—
659	C₂²×C₅	—	4	1	no	—
660	C₂²×C₅	—	4	1	no	—
661	C₂²×C₅	—	4	1	no	—
662	C₂²×C₅	—	4	1	no	—
663	C₂²×C₅	—	4	1	no	—
664	C₂²×C₅	—	4	1	no	—
665	C₂²×C₅	—	4	1	no	—
666	C₂²×C₅	—	4	1	no	—
667	C₂²×C₅	—	4	1	no	—
668	C₂²×C₅	—	8	4	no	—
669	C₂²×C₅	—	8	4	no	—
670	C₂²×C₅	—	8	4	no	—
671	C₂²×C₅	C₃×AGL(1,ℤ/8)	1	2	yes	complemented
672	C₂²×C₅	C₂²×C₃×D₄	1	1	yes	characteristic
673	C₄×C₅	—	2	1	no	—
674	C₄×C₅	—	2	1	no	—
675	C₄×C₅	—	2	1	no	—
676	C₄×C₅	—	2	1	no	—
677	C₄×C₅	—	4	1	no	—
678	C₄×C₅	—	4	1	no	—
679	C₄×C₅	—	4	1	no	—
680	C₄×C₅	C₂²×C₃×D₄	1	1	yes	characteristic
681	C₄×C₅	C₃×H(5,𝔽₂)	1	1	yes	characteristic
682	C₂⁴	—	2	1	no	—
683	C₂⁴	—	2	1	no	—
684	C₂⁴	—	2	1	no	—
685	#41	—	2	2	no	—
686	#41	—	4	1	no	—
687	C₂×Q₈	C₂³×C₃×C₅	1	1	yes	characteristic
688	C₂×D₄	—	2	2	no	—
689	C₂×D₄	—	2	2	no	—
690	C₂×D₄	—	2	2	no	—
691	C₂×D₄	—	2	1	no	—
692	C₂×D₄	—	2	1	no	—
693	C₂×D₄	—	2	1	no	—
694	C₂×D₄	—	2	1	no	—
695	C₂×D₄	—	2	1	no	—
696	C₂×D₄	—	2	1	no	—
697	C₂×D₄	—	2	1	no	—
698	C₂×D₄	—	2	1	no	—
699	C₂×D₄	—	2	1	no	—
700	C₂×D₄	—	4	1	no	—
701	C₂×D₄	—	4	1	no	—
702	C₂×D₄	—	4	1	no	—
703	C₂×D₄	—	4	4	no	—
704	C₂×D₄	C₃×C₅×D₄	1	1	yes	characteristic
705	C₂×D₄	C₂³×C₃×C₅	1	1	yes	characteristic
706	C₂×D₄	C₂³×C₃×C₅	1	1	yes	characteristic
707	C₂×D₄	C₂³×C₃×C₅	1	1	yes	characteristic
708	C₂×D₄	C₂³×C₃×C₅	1	1	yes	characteristic
709	C₂×D₄	C₂³×C₃×C₅	1	1	yes	characteristic
710	C₂²×C₄	—	2	1	no	—
711	C₂²×C₄	—	2	1	no	—
712	C₂²×C₄	—	2	1	no	—
713	C₂²×C₄	C₂³×C₃×C₅	1	1	yes	characteristic
714	C₂²×C₄	C₂³×C₃×C₅	1	1	yes	characteristic
715	SD₁₆	—	2	2	no	—
716	SD₁₆	—	2	2	no	—
717	SD₁₆	—	4	1	no	—
718	D₈	—	2	2	no	—
719	D₈	—	2	2	no	—
720	D₈	—	2	2	no	—
721	D₈	—	2	2	no	—
722	D₈	—	4	1	no	—
723	D₈	C₃×C₅×D₄	1	4	yes	complemented
724	M₁₆	—	2	2	no	—
725	C₂×C₈	—	2	2	no	—
726	C₂×C₈	C₂³×C₃×C₅	1	1	yes	characteristic
727	C₂×C₈	C₂³×C₃×C₅	1	1	yes	characteristic
728	C₂×C₈	C₂³×C₃×C₅	1	1	yes	characteristic
729	C₂×C₈	C₂³×C₃×C₅	1	1	yes	characteristic
730	C₄⋊C₄	—	2	1	no	—
731	C₄⋊C₄	C₃×C₅×D₄	1	1	yes	characteristic
732	C₄⋊C₄	C₂³×C₃×C₅	1	1	yes	characteristic
733	C₄⋊C₄	C₂³×C₃×C₅	1	1	yes	characteristic
734	C₂²⋊C₄	—	2	1	no	—
735	C₂²⋊C₄	—	2	1	no	—
736	C₂²⋊C₄	—	2	1	no	—
737	C₂²⋊C₄	—	2	1	no	—
738	C₂²⋊C₄	—	2	1	no	—
739	C₂²⋊C₄	—	2	1	no	—
740	C₂²⋊C₄	—	2	1	no	—
741	C₂²⋊C₄	—	2	1	no	—
742	C₂²⋊C₄	C₃×C₅×D₄	1	1	yes	characteristic
743	C₂²⋊C₄	C₃×C₅×D₄	1	1	yes	characteristic
744	C₄²	C₂³×C₃×C₅	1	1	yes	characteristic
745	C₃×C₅	#3264	1	1	yes	characteristic, direct product factor, Hall
746	C₂²×C₃	—	2	1	no	—
747	C₂²×C₃	—	2	1	no	—
748	C₂²×C₃	—	2	1	no	—
749	C₂²×C₃	—	2	2	no	—
750	C₂²×C₃	—	2	2	no	—
751	C₂²×C₃	—	2	1	no	—
752	C₂²×C₃	—	2	1	no	—
753	C₂²×C₃	—	4	1	no	—
754	C₂²×C₃	—	4	1	no	—
755	C₂²×C₃	—	4	1	no	—
756	C₂²×C₃	—	4	1	no	—
757	C₂²×C₃	—	4	1	no	—
758	C₂²×C₃	—	4	1	no	—
759	C₂²×C₃	—	4	1	no	—
760	C₂²×C₃	—	4	1	no	—
761	C₂²×C₃	—	4	1	no	—
762	C₂²×C₃	—	4	1	no	—
763	C₂²×C₃	—	4	1	no	—
764	C₂²×C₃	—	4	1	no	—
765	C₂²×C₃	—	4	1	no	—
766	C₂²×C₃	—	8	4	no	—
767	C₂²×C₃	—	8	4	no	—
768	C₂²×C₃	—	8	4	no	—
769	C₂²×C₃	C₅×AGL(1,ℤ/8)	1	2	yes	complemented
770	C₂²×C₃	C₂²×C₅×D₄	1	1	yes	characteristic
771	C₃×C₄	—	2	1	no	—
772	C₃×C₄	—	2	1	no	—
773	C₃×C₄	—	2	1	no	—
774	C₃×C₄	—	2	1	no	—
775	C₃×C₄	—	4	1	no	—
776	C₃×C₄	—	4	1	no	—
777	C₃×C₄	—	4	1	no	—
778	C₃×C₄	C₂²×C₅×D₄	1	1	yes	characteristic
779	C₃×C₄	C₅×H(5,𝔽₂)	1	1	yes	characteristic
780	C₂×C₅	—	2	2	no	—
781	C₂×C₅	—	4	1	no	—
782	C₂×C₅	—	4	2	no	—
783	C₂×C₅	—	4	2	no	—
784	C₂×C₅	—	8	1	no	—
785	C₂×C₅	—	8	1	no	—
786	C₂×C₅	—	8	1	no	—
787	C₂×C₅	C₃×D₄²	1	1	yes	characteristic
788	C₂×C₅	C₂×C₃×AGL(1,ℤ/8)	1	1	yes	characteristic
789	C₂×C₅	C₃×#576	1	1	yes	characteristic
790	C₂³	—	2	1	no	—
791	C₂³	—	2	1	no	—
792	C₂³	—	2	1	no	—
793	C₂³	—	2	1	no	—
794	C₂³	—	2	1	no	—
795	C₂³	—	4	2	no	—
796	C₂³	—	4	2	no	—
797	C₂³	—	4	2	no	—
798	C₂³	—	4	2	no	—
799	C₂³	—	4	2	no	—
800	C₂³	—	4	2	no	—
801	C₂³	—	8	1	no	—
802	C₂³	—	8	1	no	—
803	C₂³	—	8	1	no	—
804	C₂³	C₂×C₃×C₅×D₄	1	1	yes	characteristic
805	C₂³	C₂×C₃×C₅×D₄	1	1	yes	characteristic
806	Q₈	—	2	1	no	—
807	Q₈	—	2	1	no	—
808	D₄	—	2	2	no	—
809	D₄	—	2	1	no	—
810	D₄	—	2	1	no	—
811	D₄	—	2	1	no	—
812	D₄	—	2	1	no	—
813	D₄	—	2	1	no	—
814	D₄	—	2	1	no	—
815	D₄	—	2	1	no	—
816	D₄	—	2	1	no	—
817	D₄	—	4	2	no	—
818	D₄	—	4	2	no	—
819	D₄	—	4	2	no	—
820	D₄	—	4	2	no	—
821	D₄	—	4	2	no	—
822	D₄	—	4	2	no	—
823	D₄	—	4	2	no	—
824	D₄	—	8	1	no	—
825	D₄	—	8	1	no	—
826	D₄	C₂×C₃×C₅×D₄	1	2	yes	—
827	D₄	C₂×C₃×C₅×D₄	1	2	yes	complemented
828	C₂×C₄	—	2	1	no	—
829	C₂×C₄	—	2	1	no	—
830	C₂×C₄	—	2	1	no	—
831	C₂×C₄	—	2	1	no	—
832	C₂×C₄	—	2	1	no	—
833	C₂×C₄	—	2	1	no	—
834	C₂×C₄	—	2	1	no	—
835	C₂×C₄	—	4	2	no	—
836	C₂×C₄	—	4	2	no	—
837	C₂×C₄	—	8	1	no	—
838	C₂×C₄	C₂×C₃×C₅×D₄	1	1	yes	characteristic
839	C₂×C₄	C₂×C₃×C₅×D₄	1	1	yes	characteristic
840	C₂×C₄	C₂×C₃×C₅×D₄	1	1	yes	characteristic
841	C₂×C₄	C₂×C₃×C₅×D₄	1	1	yes	characteristic
842	C₂×C₄	C₂⁴×C₃×C₅	1	1	yes	characteristic
843	C₈	—	2	1	no	—
844	C₈	—	2	1	no	—
845	C₈	—	2	1	no	—
846	C₈	C₂×C₃×C₅×D₄	1	2	yes	complemented
847	C₂×C₃	—	2	2	no	—
848	C₂×C₃	—	4	1	no	—
849	C₂×C₃	—	4	2	no	—
850	C₂×C₃	—	4	2	no	—
851	C₂×C₃	—	8	1	no	—
852	C₂×C₃	—	8	1	no	—
853	C₂×C₃	—	8	1	no	—
854	C₂×C₃	C₅×D₄²	1	1	yes	characteristic
855	C₂×C₃	C₂×C₅×AGL(1,ℤ/8)	1	1	yes	characteristic
856	C₂×C₃	C₅×#576	1	1	yes	characteristic
857	C₅	C₃×#3264	1	1	yes	characteristic, direct product factor, Sylow
858	C₂²	—	2	1	no	—
859	C₂²	—	2	1	no	—
860	C₂²	—	2	1	no	—
861	C₂²	—	2	2	no	—
862	C₂²	—	2	2	no	—
863	C₂²	—	2	1	no	—
864	C₂²	—	2	1	no	—
865	C₂²	—	4	1	no	—
866	C₂²	—	4	1	no	—
867	C₂²	—	4	1	no	—
868	C₂²	—	4	1	no	—
869	C₂²	—	4	1	no	—
870	C₂²	—	4	1	no	—
871	C₂²	—	4	1	no	—
872	C₂²	—	4	1	no	—
873	C₂²	—	4	1	no	—
874	C₂²	—	4	1	no	—
875	C₂²	—	4	1	no	—
876	C₂²	—	4	1	no	—
877	C₂²	—	4	1	no	—
878	C₂²	—	8	4	no	—
879	C₂²	—	8	4	no	—
880	C₂²	—	8	4	no	—
881	C₂²	C₃×C₅×AGL(1,ℤ/8)	1	2	yes	complemented
882	C₂²	C₂²×C₃×C₅×D₄	1	1	yes	characteristic
883	C₄	—	2	1	no	—
884	C₄	—	2	1	no	—
885	C₄	—	2	1	no	—
886	C₄	—	2	1	no	—
887	C₄	—	4	1	no	—
888	C₄	—	4	1	no	—
889	C₄	—	4	1	no	—
890	C₄	C₂²×C₃×C₅×D₄	1	1	yes	characteristic
891	C₄	C₃×C₅×H(5,𝔽₂)	1	1	yes	characteristic
892	C₃	C₅×#3264	1	1	yes	characteristic, direct product factor, Sylow
893	C₂	—	2	2	no	—
894	C₂	—	4	1	no	—
895	C₂	—	4	2	no	—
896	C₂	—	4	2	no	—
897	C₂	—	8	1	no	—
898	C₂	—	8	1	no	—
899	C₂	—	8	1	no	—
900	C₂	C₃×C₅×D₄²	1	1	yes	characteristic
901	C₂	C₂×C₃×C₅×AGL(1,ℤ/8)	1	1	yes	characteristic
902	C₂	C₃×C₅×#576	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₃×C₅	C₂²×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁴×C₃×C₅
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₃×C₅ ◁ C₃×C₄×C₅×D₄ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂×C₃×C₅×AGL(1,ℤ/8)	C₂	semidirect
2. C₂²×C₃×C₅×D₈	C₂	semidirect
3. C₃×C₅×#546	C₂	semidirect
4. C₃×C₅×D₄²	C₂	semidirect
5. C₃×C₅×#496	C₂	semidirect
6. C₃×C₅×#469	C₂	semidirect
7. C₃×C₅×#465	C₂	semidirect
8. C₃×C₅×#463	C₂	semidirect
9. C₃×C₅×#459	C₂	semidirect
10. C₃×C₅×#450	C₂	semidirect
11. C₃×C₅×#449	C₂	semidirect
12. C₃×C₅×#447	C₂	semidirect
13. C₃×C₅×#447	C₂	semidirect
14. C₃×C₅×#442	C₂	semidirect
15. C₃×C₅×#435	C₂	semidirect
16. C₅×#3264	C₃	direct (N × H)
17. C₂×C₃×C₅×#41	C₂²	semidirect
20. C₂²×C₃×C₅×D₄	C₂²	semidirect
21. C₂²×C₃×C₅×D₄	C₂²	semidirect
23. C₂×C₃×C₅×SD₁₆	C₂²	semidirect
24. C₂×C₃×C₅×SD₁₆	C₂²	semidirect
25. C₂×C₃×C₅×SD₁₆	C₂²	semidirect
29. C₂×C₃×C₅×D₈	C₂²	semidirect
30. C₂×C₃×C₅×D₈	C₂²	semidirect
31. C₂×C₃×C₅×D₈	C₂²	semidirect
32. C₂×C₃×C₅×D₈	C₂²	semidirect
33. C₂×C₃×C₅×M₁₆	C₂²	semidirect
34. C₂²×C₃×C₅×C₈	C₂²	semidirect
35. C₃×C₅×#127	C₂²	semidirect
36. C₃×C₅×#124	C₂²	semidirect
38. C₃×C₅×C₂²⋊Q₈	C₂²	semidirect
42. C₃×C₅×#121	C₂²	semidirect
43. C₃×C₅×#121	C₂²	semidirect
48. C₃×C₄×C₅×D₄	C₂²	semidirect
49. C₃×C₄×C₅×D₄	C₂²	semidirect
51. C₃×C₅×#106	C₂²	semidirect
52. C₃×C₅×C₄⋊C₈	C₂²	semidirect
53. C₃×C₅×#103	C₂²	semidirect
54. C₃×C₅×#102	C₂²	semidirect
55. C₃×C₅×#102	C₂²	semidirect
56. C₃×C₅×#102	C₂²	semidirect
57. C₃×C₅×#102	C₂²	semidirect
58. C₃×C₅×#102	C₂²	semidirect
59. C₃×C₅×C₂²⋊C₈	C₂²	semidirect
60. C₃×C₅×C₂²⋊C₈	C₂²	semidirect
61. C₃×C₅×#97	C₂²	semidirect
62. C₃×#3264	C₅	direct (N × H)
63. C₂×C₅×AGL(1,ℤ/8)	C₂×C₃	semidirect
64. C₂²×C₅×D₈	C₂×C₃	semidirect
65. C₅×#546	C₂×C₃	semidirect
66. C₅×D₄²	C₂×C₃	semidirect
67. C₅×#496	C₂×C₃	semidirect
68. C₅×#469	C₂×C₃	semidirect
69. C₅×#465	C₂×C₃	semidirect
70. C₅×#463	C₂×C₃	semidirect
71. C₅×#459	C₂×C₃	semidirect
72. C₅×#450	C₂×C₃	semidirect
73. C₅×#449	C₂×C₃	semidirect
74. C₅×#447	C₂×C₃	semidirect
75. C₅×#447	C₂×C₃	semidirect
76. C₅×#442	C₂×C₃	semidirect
77. C₅×#435	C₂×C₃	semidirect
119. C₃×C₅×D₈	D₄	semidirect
141. C₂×C₃×AGL(1,ℤ/8)	C₂×C₅	semidirect
142. C₂²×C₃×D₈	C₂×C₅	semidirect
143. C₃×#546	C₂×C₅	semidirect
144. C₃×D₄²	C₂×C₅	semidirect
145. C₃×#496	C₂×C₅	semidirect
146. C₃×#469	C₂×C₅	semidirect
147. C₃×#465	C₂×C₅	semidirect
148. C₃×#463	C₂×C₅	semidirect
149. C₃×#459	C₂×C₅	semidirect
150. C₃×#450	C₂×C₅	semidirect
151. C₃×#449	C₂×C₅	semidirect
152. C₃×#447	C₂×C₅	semidirect
153. C₃×#447	C₂×C₅	semidirect
154. C₃×#442	C₂×C₅	semidirect
155. C₃×#435	C₂×C₅	semidirect
156. C₂×C₅×#41	C₂²×C₃	semidirect
159. C₂²×C₅×D₄	C₂²×C₃	semidirect
160. C₂²×C₅×D₄	C₂²×C₃	semidirect
162. C₂×C₅×SD₁₆	C₂²×C₃	semidirect
163. C₂×C₅×SD₁₆	C₂²×C₃	semidirect
164. C₂×C₅×SD₁₆	C₂²×C₃	semidirect
168. C₂×C₅×D₈	C₂²×C₃	semidirect
169. C₂×C₅×D₈	C₂²×C₃	semidirect
170. C₂×C₅×D₈	C₂²×C₃	semidirect
171. C₂×C₅×D₈	C₂²×C₃	semidirect
172. C₂×C₅×M₁₆	C₂²×C₃	semidirect
173. C₂²×C₅×C₈	C₂²×C₃	semidirect
174. C₅×#127	C₂²×C₃	semidirect
175. C₅×#124	C₂²×C₃	semidirect
177. C₅×C₂²⋊Q₈	C₂²×C₃	semidirect
181. C₅×#121	C₂²×C₃	semidirect
182. C₅×#121	C₂²×C₃	semidirect
187. C₄×C₅×D₄	C₂²×C₃	semidirect
188. C₄×C₅×D₄	C₂²×C₃	semidirect
190. C₅×#106	C₂²×C₃	semidirect
191. C₅×C₄⋊C₈	C₂²×C₃	semidirect
192. C₅×#103	C₂²×C₃	semidirect
193. C₅×#102	C₂²×C₃	semidirect
194. C₅×#102	C₂²×C₃	semidirect
195. C₅×#102	C₂²×C₃	semidirect
196. C₅×#102	C₂²×C₃	semidirect
197. C₅×#102	C₂²×C₃	semidirect
198. C₅×C₂²⋊C₈	C₂²×C₃	semidirect
199. C₅×C₂²⋊C₈	C₂²×C₃	semidirect
200. C₅×#97	C₂²×C₃	semidirect
201. #3264	C₃×C₅	direct (N × H)
239. C₃×C₅×D₄	C₂×D₄	semidirect
258. C₃×C₅×C₈	C₂×D₄	semidirect
259. C₂×C₃×#41	C₂²×C₅	semidirect
262. C₂²×C₃×D₄	C₂²×C₅	semidirect
263. C₂²×C₃×D₄	C₂²×C₅	semidirect
265. C₂×C₃×SD₁₆	C₂²×C₅	semidirect
266. C₂×C₃×SD₁₆	C₂²×C₅	semidirect
267. C₂×C₃×SD₁₆	C₂²×C₅	semidirect
271. C₂×C₃×D₈	C₂²×C₅	semidirect
272. C₂×C₃×D₈	C₂²×C₅	semidirect
273. C₂×C₃×D₈	C₂²×C₅	semidirect
274. C₂×C₃×D₈	C₂²×C₅	semidirect
275. C₂×C₃×M₁₆	C₂²×C₅	semidirect
276. C₂²×C₃×C₈	C₂²×C₅	semidirect
277. C₃×#127	C₂²×C₅	semidirect
278. C₃×#124	C₂²×C₅	semidirect
280. C₃×C₂²⋊Q₈	C₂²×C₅	semidirect
284. C₃×#121	C₂²×C₅	semidirect
285. C₃×#121	C₂²×C₅	semidirect
290. C₃×C₄×D₄	C₂²×C₅	semidirect
291. C₃×C₄×D₄	C₂²×C₅	semidirect
293. C₃×#106	C₂²×C₅	semidirect
294. C₃×C₄⋊C₈	C₂²×C₅	semidirect
295. C₃×#103	C₂²×C₅	semidirect
296. C₃×#102	C₂²×C₅	semidirect
297. C₃×#102	C₂²×C₅	semidirect
298. C₃×#102	C₂²×C₅	semidirect
299. C₃×#102	C₂²×C₅	semidirect
300. C₃×#102	C₂²×C₅	semidirect
301. C₃×C₂²⋊C₈	C₂²×C₅	semidirect
302. C₃×C₂²⋊C₈	C₂²×C₅	semidirect
303. C₃×#97	C₂²×C₅	semidirect
345. C₅×D₈	C₃×D₄	semidirect
367. C₂×AGL(1,ℤ/8)	C₂×C₃×C₅	semidirect
368. C₂²×D₈	C₂×C₃×C₅	semidirect
369. #546	C₂×C₃×C₅	semidirect
370. D₄²	C₂×C₃×C₅	semidirect
371. #496	C₂×C₃×C₅	semidirect
372. #469	C₂×C₃×C₅	semidirect
373. #465	C₂×C₃×C₅	semidirect
374. #463	C₂×C₃×C₅	semidirect
375. #459	C₂×C₃×C₅	semidirect
376. #450	C₂×C₃×C₅	semidirect
377. #449	C₂×C₃×C₅	semidirect
378. #447	C₂×C₃×C₅	semidirect
379. #447	C₂×C₃×C₅	semidirect
380. #442	C₂×C₃×C₅	semidirect
381. #435	C₂×C₃×C₅	semidirect
405. C₂²×C₃×C₅	AGL(1,ℤ/8)	semidirect
457. C₃×D₈	C₅×D₄	semidirect
516. C₅×D₄	C₂×C₃×D₄	semidirect
535. C₅×C₈	C₂×C₃×D₄	semidirect
536. C₂×#41	C₂²×C₃×C₅	semidirect
539. C₂²×D₄	C₂²×C₃×C₅	semidirect
540. C₂²×D₄	C₂²×C₃×C₅	semidirect
542. C₂×SD₁₆	C₂²×C₃×C₅	semidirect
543. C₂×SD₁₆	C₂²×C₃×C₅	semidirect
544. C₂×SD₁₆	C₂²×C₃×C₅	semidirect
548. C₂×D₈	C₂²×C₃×C₅	semidirect
549. C₂×D₈	C₂²×C₃×C₅	semidirect
550. C₂×D₈	C₂²×C₃×C₅	semidirect
551. C₂×D₈	C₂²×C₃×C₅	semidirect
552. C₂×M₁₆	C₂²×C₃×C₅	semidirect
553. C₂²×C₈	C₂²×C₃×C₅	semidirect
554. #127	C₂²×C₃×C₅	semidirect
555. #124	C₂²×C₃×C₅	semidirect
557. C₂²⋊Q₈	C₂²×C₃×C₅	semidirect
561. #121	C₂²×C₃×C₅	semidirect
562. #121	C₂²×C₃×C₅	semidirect
567. C₄×D₄	C₂²×C₃×C₅	semidirect
568. C₄×D₄	C₂²×C₃×C₅	semidirect
570. #106	C₂²×C₃×C₅	semidirect
571. C₄⋊C₈	C₂²×C₃×C₅	semidirect
572. #103	C₂²×C₃×C₅	semidirect
573. #102	C₂²×C₃×C₅	semidirect
574. #102	C₂²×C₃×C₅	semidirect
575. #102	C₂²×C₃×C₅	semidirect
576. #102	C₂²×C₃×C₅	semidirect
577. #102	C₂²×C₃×C₅	semidirect
578. C₂²⋊C₈	C₂²×C₃×C₅	semidirect
579. C₂²⋊C₈	C₂²×C₃×C₅	semidirect
580. #97	C₂²×C₃×C₅	semidirect
628. C₃×D₄	C₂×C₅×D₄	semidirect
647. C₃×C₈	C₂×C₅×D₄	semidirect
671. C₂²×C₅	C₃×AGL(1,ℤ/8)	semidirect
723. D₈	C₃×C₅×D₄	semidirect
745. C₃×C₅	#3264	direct (N × H)
769. C₂²×C₃	C₅×AGL(1,ℤ/8)	semidirect
827. D₄	C₂×C₃×C₅×D₄	semidirect
846. C₈	C₂×C₃×C₅×D₄	semidirect
857. C₅	C₃×#3264	direct (N × H)
881. C₂²	C₃×C₅×AGL(1,ℤ/8)	semidirect
892. C₃	C₅×#3264	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×C₃×C₅×AGL(1,ℤ/8)	2
C₂²×C₃×C₅×D₈	2
C₃×C₅×#546	2
C₃×C₅×D₄²	2
C₃×C₅×#496	2
C₃×C₅×#469	2
C₃×C₅×#465	2
C₃×C₅×#463	2
C₃×C₅×#459	2
C₃×C₅×#450	2
C₃×C₅×#449	2
C₃×C₅×#447	2
C₃×C₅×#442	2
C₃×C₅×#435	2
C₅×#3264	3
C₃×#3264	5

Subgroups — C3×C5×#3264 #14276298

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×C₅×#3264 #14276298