Subgroups — #11918326

Order 1152.

1437 conjugacy classes of subgroups.

The subgroup lattice has 1431 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₉×#556	C₂	1	1	yes	maximal, characteristic, complemented
2	#10589837	C₂	1	1	yes	maximal, characteristic, complemented
3	#10589835	C₂	1	1	yes	maximal, characteristic, complemented
4	#10589814	C₂	1	1	yes	maximal, characteristic, complemented
5	#10589808	C₂	1	1	yes	maximal, characteristic, complemented
6	#10589807	C₂	1	1	yes	maximal, characteristic, complemented
7	#10589806	C₂	1	1	yes	maximal, characteristic, complemented
8	#10589806	C₂	1	1	yes	maximal, characteristic, complemented
9	#10589806	C₂	1	1	yes	maximal, characteristic, complemented
10	#10589804	C₂	1	1	yes	maximal, characteristic, complemented
11	#10589804	C₂	1	1	yes	maximal, characteristic, complemented
12	#10589785	C₂	1	1	yes	maximal, characteristic, complemented
13	#10589781	C₂	1	1	yes	maximal, characteristic, complemented
14	#10589780	C₂	1	1	yes	maximal, characteristic, complemented
15	#10589771	C₂	1	1	yes	maximal, characteristic, complemented
16	#10589748	C₂	1	1	yes	maximal, characteristic, complemented
17	#10589746	C₂	1	1	yes	maximal, characteristic, complemented
18	#10589742	C₂	1	1	yes	maximal, characteristic, complemented
19	#10589739	C₂	1	1	yes	maximal, characteristic, complemented
20	#10589686	C₂	1	1	yes	maximal, characteristic, complemented
21	#10589684	C₂	1	1	yes	maximal, characteristic, complemented
22	#10589684	C₂	1	1	yes	maximal, characteristic, complemented
23	#10589682	C₂	1	1	yes	maximal, characteristic, complemented
24	#10589670	C₂	1	1	yes	maximal, characteristic, complemented
25	#10589670	C₂	1	1	yes	maximal, characteristic, complemented
26	#10589662	C₂	1	1	yes	maximal, characteristic, complemented
27	#10589658	C₂	1	1	yes	maximal, characteristic, complemented
28	#10589636	C₂	1	1	yes	maximal, characteristic, complemented
29	#10589630	C₂	1	1	yes	maximal, characteristic, complemented
30	#10589629	C₂	1	1	yes	maximal, characteristic, complemented
31	#10589629	C₂	1	1	yes	maximal, characteristic, complemented
32	#87002	—	3	1	no	maximal
33	C₉×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
34	C₉×#126	C₂²	1	1	yes	characteristic, complemented
35	C₉×#126	C₂²	1	1	yes	characteristic, complemented
36	C₉×#126	C₂²	1	1	yes	characteristic, complemented
37	C₉×#126	C₂²	1	1	yes	characteristic, complemented
38	C₉×#124	C₂²	1	1	yes	characteristic
39	C₉×#124	C₂²	1	1	yes	characteristic
40	C₉×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
41	C₉×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
42	C₄×Q₈×C₉	C₂²	1	1	yes	characteristic, complemented
43	C₄×Q₈×C₉	C₂²	1	1	yes	characteristic, complemented
44	C₄×Q₈×C₉	C₂²	1	1	yes	characteristic, complemented
45	C₄×D₄×C₉	C₂²	1	1	yes	characteristic
46	C₉×#117	C₂²	1	1	yes	characteristic, complemented
47	C₉×#117	C₂²	1	1	yes	characteristic, complemented
48	#63509	C₂²	1	1	yes	characteristic
49	#63509	C₂²	1	1	yes	characteristic
50	#63509	C₂²	1	1	yes	characteristic
51	#63509	C₂²	1	1	yes	characteristic, complemented
52	#63509	C₂²	1	1	yes	characteristic, complemented
53	#63508	C₂²	1	1	yes	characteristic, complemented
54	#63508	C₂²	1	1	yes	characteristic, complemented
55	#63508	C₂²	1	1	yes	characteristic, complemented
56	#63508	C₂²	1	1	yes	characteristic, complemented
57	#63508	C₂²	1	1	yes	characteristic, complemented
58	#63506	C₂²	1	1	yes	characteristic, complemented
59	#63506	C₂²	1	1	yes	characteristic, complemented
60	#63501	C₂²	1	1	yes	characteristic
61	#63499	C₂²	1	1	yes	characteristic
62	#63499	C₂²	1	1	yes	characteristic
63	#63497	C₂²	1	1	yes	characteristic
64	#63492	C₂²	1	1	yes	characteristic
65	#63491	C₂²	1	1	yes	characteristic
66	#63491	C₂²	1	1	yes	characteristic
67	C₄×#611	C₂²	1	1	yes	characteristic
68	C₄×#611	C₂²	1	1	yes	characteristic, complemented
69	C₂×(C₂×D₉)⋊C₄	C₂²	1	1	yes	characteristic, complemented
70	C₂×(C₂×D₉)⋊C₄	C₂²	1	1	yes	characteristic, complemented
71	#63486	C₂²	1	1	yes	characteristic, complemented
72	#63460	C₂²	1	1	yes	characteristic, complemented
73	#63460	C₂²	1	1	yes	characteristic, complemented
74	#63460	C₂²	1	1	yes	characteristic, complemented
75	#63460	C₂²	1	1	yes	characteristic, complemented
76	#63460	C₂²	1	1	yes	characteristic, complemented
77	#63460	C₂²	1	1	yes	characteristic, complemented
78	#63460	C₂²	1	1	yes	characteristic, complemented
79	#63460	C₂²	1	1	yes	characteristic, complemented
80	#63460	C₂²	1	1	yes	characteristic, complemented
81	#63460	C₂²	1	1	yes	characteristic, complemented
82	#63460	C₂²	1	1	yes	characteristic, complemented
83	#63460	C₂²	1	1	yes	characteristic, complemented
84	#63459	C₂²	1	1	yes	characteristic, complemented
85	#63458	C₂²	1	1	yes	characteristic, complemented
86	#63458	C₂²	1	1	yes	characteristic, complemented
87	#63458	C₂²	1	1	yes	characteristic, complemented
88	#63458	C₂²	1	1	yes	characteristic, complemented
89	#63458	C₂²	1	1	yes	characteristic, complemented
90	#63458	C₂²	1	1	yes	characteristic, complemented
91	#63458	C₂²	1	1	yes	characteristic, complemented
92	#63458	C₂²	1	1	yes	characteristic, complemented
93	#63458	C₂²	1	1	yes	characteristic, complemented
94	#63457	C₂²	1	1	yes	characteristic
95	#63457	C₂²	1	1	yes	characteristic
96	#63457	C₂²	1	1	yes	characteristic
97	#63457	C₂²	1	1	yes	characteristic
98	#63456	C₂²	1	1	yes	characteristic
99	#63456	C₂²	1	1	yes	characteristic
100	#63456	C₂²	1	1	yes	characteristic
101	#63456	C₂²	1	1	yes	characteristic
102	#63456	C₂²	1	1	yes	characteristic
103	#63456	C₂²	1	1	yes	characteristic, complemented
104	#63456	C₂²	1	1	yes	characteristic, complemented
105	#63456	C₂²	1	1	yes	characteristic, complemented
106	#63456	C₂²	1	1	yes	characteristic, complemented
107	#63455	C₂²	1	1	yes	characteristic
108	#63455	C₂²	1	1	yes	characteristic
109	#63455	C₂²	1	1	yes	characteristic, complemented
110	#63454	C₂²	1	1	yes	characteristic, complemented
111	#63454	C₂²	1	1	yes	characteristic, complemented
112	#63452	C₂²	1	1	yes	characteristic, complemented
113	#63451	C₂²	1	1	yes	characteristic, complemented
114	#63451	C₂²	1	1	yes	characteristic, complemented
115	#63450	C₂²	1	1	yes	characteristic, complemented
116	#63450	C₂²	1	1	yes	characteristic, complemented
117	#63449	C₂²	1	1	yes	characteristic, complemented
118	#63449	C₂²	1	1	yes	characteristic, complemented
119	#63449	C₂²	1	1	yes	characteristic, complemented
120	#63448	C₂²	1	1	yes	characteristic
121	#63447	C₂²	1	1	yes	characteristic
122	#63447	C₂²	1	1	yes	characteristic
123	#63447	C₂²	1	1	yes	characteristic
124	#63447	C₂²	1	1	yes	characteristic
125	#63447	C₂²	1	1	yes	characteristic
126	#63447	C₂²	1	1	yes	characteristic
127	#63447	C₂²	1	1	yes	characteristic, complemented
128	#63447	C₂²	1	1	yes	characteristic, complemented
129	#63446	C₂²	1	1	yes	characteristic
130	#63446	C₂²	1	1	yes	characteristic
131	#63446	C₂²	1	1	yes	characteristic
132	#63445	C₂²	1	1	yes	characteristic
133	#63445	C₂²	1	1	yes	characteristic
134	#63445	C₂²	1	1	yes	characteristic
135	#63445	C₂²	1	1	yes	characteristic, complemented
136	#63445	C₂²	1	1	yes	characteristic, complemented
137	#63444	C₂²	1	1	yes	characteristic
138	#63444	C₂²	1	1	yes	characteristic
139	#63444	C₂²	1	1	yes	characteristic
140	#63444	C₂²	1	1	yes	characteristic
141	#63444	C₂²	1	1	yes	characteristic, complemented
142	#63444	C₂²	1	1	yes	characteristic, complemented
143	#611⋊C₄	C₂²	1	1	yes	characteristic
144	#611⋊C₄	C₂²	1	1	yes	characteristic
145	#611⋊C₄	C₂²	1	1	yes	characteristic
146	#611⋊C₄	C₂²	1	1	yes	characteristic, complemented
147	C₂²⋊C₄×D₉	C₂²	1	1	yes	characteristic, complemented
148	C₂²⋊C₄×D₉	C₂²	1	1	yes	characteristic, complemented
149	C₂²⋊C₄×D₉	C₂²	1	1	yes	characteristic, complemented
150	C₂²⋊C₄×D₉	C₂²	1	1	yes	characteristic, complemented
151	#63441	C₂²	1	1	yes	characteristic, complemented
152	#63441	C₂²	1	1	yes	characteristic, complemented
153	#63441	C₂²	1	1	yes	characteristic, complemented
154	#63441	C₂²	1	1	yes	characteristic, complemented
155	#63440	C₂²	1	1	yes	characteristic, complemented
156	#63440	C₂²	1	1	yes	characteristic, complemented
157	#63440	C₂²	1	1	yes	characteristic, complemented
158	#63439	C₂²	1	1	yes	characteristic, complemented
159	#63439	C₂²	1	1	yes	characteristic, complemented
160	#63438	C₂²	1	1	yes	characteristic, complemented
161	#63438	C₂²	1	1	yes	characteristic, complemented
162	#63438	C₂²	1	1	yes	characteristic, complemented
163	#63438	C₂²	1	1	yes	characteristic, complemented
164	#63438	C₂²	1	1	yes	characteristic, complemented
165	#63438	C₂²	1	1	yes	characteristic, complemented
166	#63437	C₂²	1	1	yes	characteristic
167	#63437	C₂²	1	1	yes	characteristic
168	#63437	C₂²	1	1	yes	characteristic
169	#63437	C₂²	1	1	yes	characteristic
170	#63437	C₂²	1	1	yes	characteristic, complemented
171	#63437	C₂²	1	1	yes	characteristic, complemented
172	C₄×D₃₆	C₂²	1	1	yes	characteristic
173	C₄×D₃₆	C₂²	1	1	yes	characteristic
174	C₄×D₃₆	C₂²	1	1	yes	characteristic, complemented
175	C₄×D₃₆	C₂²	1	1	yes	characteristic, complemented
176	C₄×D₃₆	C₂²	1	1	yes	characteristic, complemented
177	#63434	C₂²	1	1	yes	characteristic, complemented
178	#63434	C₂²	1	1	yes	characteristic, complemented
179	#63434	C₂²	1	1	yes	characteristic, complemented
180	#63434	C₂²	1	1	yes	characteristic, complemented
181	#63434	C₂²	1	1	yes	characteristic, complemented
182	#63434	C₂²	1	1	yes	characteristic, complemented
183	C₄²×D₉	C₂²	1	1	yes	characteristic, complemented
184	#63431	C₂²	1	1	yes	characteristic, complemented
185	C₄×Dic₁₈	C₂²	1	1	yes	characteristic, complemented
186	C₄×Dic₁₈	C₂²	1	1	yes	characteristic, complemented
187	C₄×Dic₁₈	C₂²	1	1	yes	characteristic, complemented
188	C₃×#556	D₃	1	1	yes	characteristic
189	#5735	—	3	1	no	—
190	#5733	—	3	1	no	—
191	#5712	—	3	1	no	—
192	#5706	—	3	1	no	—
193	#5705	—	3	1	no	—
194	#5704	—	3	1	no	—
195	#5704	—	3	1	no	—
196	#5704	—	3	1	no	—
197	#5702	—	3	1	no	—
198	#5702	—	3	1	no	—
199	#5683	—	3	1	no	—
200	#5679	—	3	1	no	—
201	#5678	—	3	1	no	—
202	#5669	—	3	1	no	—
203	#5646	—	3	1	no	—
204	#5644	—	3	1	no	—
205	#5640	—	3	1	no	—
206	#5637	—	3	1	no	—
207	#5584	—	3	1	no	—
208	#5582	—	3	1	no	—
209	#5582	—	3	1	no	—
210	#5580	—	3	1	no	—
211	#5568	—	3	1	no	—
212	#5568	—	3	1	no	—
213	#5560	—	3	1	no	—
214	#5556	—	3	1	no	—
215	#5534	—	3	1	no	—
216	#5528	—	3	1	no	—
217	#5527	—	3	1	no	—
218	#5527	—	3	1	no	—
219	C₂³×D₉	C₂³	1	1	yes	characteristic
220	C₂³×D₉	C₂³	1	1	yes	characteristic
221	C₂×Q₈×C₉	C₂³	1	1	yes	characteristic
222	C₂×Q₈×C₉	C₂³	1	1	yes	characteristic
223	C₂×Q₈×C₉	C₂³	1	1	yes	characteristic
224	C₂×D₄×C₉	C₂³	1	1	yes	characteristic
225	C₂²×C₄×C₉	C₂³	1	1	yes	characteristic
226	C₂²×C₄×C₉	C₂³	1	1	yes	characteristic
227	C₂×#611	C₂³	1	1	yes	characteristic
228	C₂×#611	C₂³	1	1	yes	characteristic
229	C₂×#611	C₂³	1	1	yes	characteristic
230	C₂×#611	C₂³	1	1	yes	characteristic
231	C₂×#611	C₂³	1	1	yes	characteristic
232	C₂×#611	C₂³	1	1	yes	characteristic
233	C₂²×Dic₉	C₂³	1	1	yes	characteristic
234	C₂²×Dic₉	C₂³	1	1	yes	characteristic
235	C₂×D₃₆	C₂³	1	1	yes	characteristic
236	C₂×D₃₆	C₂³	1	1	yes	characteristic
237	C₂×D₃₆	C₂³	1	1	yes	characteristic
238	C₂×D₃₆	C₂³	1	1	yes	characteristic
239	C₂×D₃₆	C₂³	1	1	yes	characteristic
240	C₂×D₃₆	C₂³	1	1	yes	characteristic
241	C₂×D₃₆	C₂³	1	1	yes	characteristic
242	C₂×D₃₆	C₂³	1	1	yes	characteristic
243	C₂×C₄×D₉	C₂³	1	1	yes	characteristic
244	C₂×C₄×D₉	C₂³	1	1	yes	characteristic
245	C₂×C₄×D₉	C₂³	1	1	yes	characteristic
246	C₂×C₄×D₉	C₂³	1	1	yes	characteristic
247	C₂×C₄×D₉	C₂³	1	1	yes	characteristic
248	C₂×C₄×D₉	C₂³	1	1	yes	characteristic
249	C₂×C₄×D₉	C₂³	1	1	yes	characteristic
250	C₂×C₄×D₉	C₂³	1	1	yes	characteristic
251	C₂×C₄×D₉	C₂³	1	1	yes	characteristic
252	C₂×C₄×D₉	C₂³	1	1	yes	characteristic
253	C₂×C₄×D₉	C₂³	1	1	yes	characteristic
254	C₂×Dic₁₈	C₂³	1	1	yes	characteristic
255	C₂×Dic₁₈	C₂³	1	1	yes	characteristic
256	C₂×Dic₁₈	C₂³	1	1	yes	characteristic
257	C₂×Dic₁₈	C₂³	1	1	yes	characteristic
258	C₂×Dic₁₈	C₂³	1	1	yes	characteristic
259	C₂×Dic₁₈	C₂³	1	1	yes	characteristic
260	C₉×C₄⋊C₄	C₂³	1	1	yes	characteristic
261	C₉×C₄⋊C₄	C₂³	1	1	yes	characteristic
262	C₉×C₄⋊C₄	C₂³	1	1	yes	characteristic
263	C₉×C₄⋊C₄	C₂³	1	1	yes	characteristic
264	C₉×C₄⋊C₄	C₂³	1	1	yes	characteristic
265	C₉×C₄⋊C₄	C₂³	1	1	yes	characteristic
266	C₉×C₄⋊C₄	C₂³	1	1	yes	characteristic
267	C₉×C₄⋊C₄	C₂³	1	1	yes	characteristic
268	C₉×C₄⋊C₄	C₂³	1	1	yes	characteristic
269	C₉×C₄⋊C₄	C₂³	1	1	yes	characteristic
270	C₉×C₄⋊C₄	C₂³	1	1	yes	characteristic
271	C₉×C₄⋊C₄	C₂³	1	1	yes	characteristic
272	C₉×C₂²⋊C₄	C₂³	1	1	yes	characteristic
273	C₉×C₂²⋊C₄	C₂³	1	1	yes	characteristic
274	C₉×C₂²⋊C₄	C₂³	1	1	yes	characteristic
275	C₉×C₂²⋊C₄	C₂³	1	1	yes	characteristic
276	C₉×C₂²⋊C₄	C₂³	1	1	yes	characteristic
277	C₉×C₂²⋊C₄	C₂³	1	1	yes	characteristic
278	C₉×C₂²⋊C₄	C₂³	1	1	yes	characteristic
279	C₉×C₂²⋊C₄	C₂³	1	1	yes	characteristic
280	C₉×C₂²⋊C₄	C₂³	1	1	yes	characteristic
281	C₉×C₂²⋊C₄	C₂³	1	1	yes	characteristic
282	C₄²×C₉	C₂³	1	1	yes	characteristic
283	C₄²×C₉	C₂³	1	1	yes	characteristic
284	C₄²×C₉	C₂³	1	1	yes	characteristic
285	C₄²×C₉	C₂³	1	1	yes	characteristic
286	C₄²×C₉	C₂³	1	1	yes	characteristic
287	C₄²×C₉	C₂³	1	1	yes	characteristic
288	C₄²×C₉	C₂³	1	1	yes	characteristic
289	#3676	C₂³	1	1	yes	characteristic
290	#3676	C₂³	1	1	yes	characteristic
291	#3676	C₂³	1	1	yes	characteristic
292	#3676	C₂³	1	1	yes	characteristic
293	#3676	C₂³	1	1	yes	characteristic
294	#3676	C₂³	1	1	yes	characteristic
295	(C₂×D₉)⋊C₄	C₂³	1	1	yes	characteristic
296	(C₂×D₉)⋊C₄	C₂³	1	1	yes	characteristic
297	(C₂×D₉)⋊C₄	C₂³	1	1	yes	characteristic
298	(C₂×D₉)⋊C₄	C₂³	1	1	yes	characteristic
299	(C₂×D₉)⋊C₄	C₂³	1	1	yes	characteristic
300	(C₂×D₉)⋊C₄	C₂³	1	1	yes	characteristic
301	(C₂×D₉)⋊C₄	C₂³	1	1	yes	characteristic
302	(C₂×D₉)⋊C₄	C₂³	1	1	yes	characteristic
303	(C₂×D₉)⋊C₄	C₂³	1	1	yes	characteristic
304	(C₂×D₉)⋊C₄	C₂³	1	1	yes	characteristic
305	(C₂×D₉)⋊C₄	C₂³	1	1	yes	characteristic
306	(C₂×D₉)⋊C₄	C₂³	1	1	yes	characteristic
307	(C₂×D₉)⋊C₄	C₂³	1	1	yes	characteristic
308	(C₂×D₉)⋊C₄	C₂³	1	1	yes	characteristic
309	(C₂×D₉)⋊C₄	C₂³	1	1	yes	characteristic
310	(C₂×D₉)⋊C₄	C₂³	1	1	yes	characteristic
311	(C₂×D₉)⋊C₄	C₂³	1	1	yes	characteristic
312	(C₂×D₉)⋊C₄	C₂³	1	1	yes	characteristic
313	(C₂×D₉)⋊C₄	C₂³	1	1	yes	characteristic
314	(C₂×D₉)⋊C₄	C₂³	1	1	yes	characteristic
315	(C₂×D₉)⋊C₄	C₂³	1	1	yes	characteristic
316	(C₂×D₉)⋊C₄	C₂³	1	1	yes	characteristic
317	(C₂×D₉)⋊C₄	C₂³	1	1	yes	characteristic
318	(C₂×D₉)⋊C₄	C₂³	1	1	yes	characteristic
319	(C₂×D₉)⋊C₄	C₂³	1	1	yes	characteristic
320	(C₂×D₉)⋊C₄	C₂³	1	1	yes	characteristic
321	(C₂×D₉)⋊C₄	C₂³	1	1	yes	characteristic
322	(C₂×D₉)⋊C₄	C₂³	1	1	yes	characteristic
323	(C₂×D₉)⋊C₄	C₂³	1	1	yes	characteristic
324	(C₂×D₉)⋊C₄	C₂³	1	1	yes	characteristic
325	(C₂×D₉)⋊C₄	C₂³	1	1	yes	characteristic
326	(C₂×D₉)⋊C₄	C₂³	1	1	yes	characteristic
327	(C₂×D₉)⋊C₄	C₂³	1	1	yes	characteristic
328	(C₂×D₉)⋊C₄	C₂³	1	1	yes	characteristic
329	(C₂×D₉)⋊C₄	C₂³	1	1	yes	characteristic
330	(C₂×D₉)⋊C₄	C₂³	1	1	yes	characteristic
331	(C₂×D₉)⋊C₄	C₂³	1	1	yes	characteristic
332	(C₂×D₉)⋊C₄	C₂³	1	1	yes	characteristic
333	C₄⋊Dic₉	C₂³	1	1	yes	characteristic
334	C₄⋊Dic₉	C₂³	1	1	yes	characteristic
335	C₄⋊Dic₉	C₂³	1	1	yes	characteristic
336	C₄⋊Dic₉	C₂³	1	1	yes	characteristic
337	C₄⋊Dic₉	C₂³	1	1	yes	characteristic
338	C₄⋊Dic₉	C₂³	1	1	yes	characteristic
339	C₄⋊Dic₉	C₂³	1	1	yes	characteristic
340	C₄⋊Dic₉	C₂³	1	1	yes	characteristic
341	Dic₉⋊C₄	C₂³	1	1	yes	characteristic
342	Dic₉⋊C₄	C₂³	1	1	yes	characteristic
343	Dic₉⋊C₄	C₂³	1	1	yes	characteristic
344	Dic₉⋊C₄	C₂³	1	1	yes	characteristic
345	Dic₉⋊C₄	C₂³	1	1	yes	characteristic
346	Dic₉⋊C₄	C₂³	1	1	yes	characteristic
347	Dic₉⋊C₄	C₂³	1	1	yes	characteristic
348	Dic₉⋊C₄	C₂³	1	1	yes	characteristic
349	Dic₉⋊C₄	C₂³	1	1	yes	characteristic
350	Dic₉⋊C₄	C₂³	1	1	yes	characteristic
351	Dic₉⋊C₄	C₂³	1	1	yes	characteristic
352	Dic₉⋊C₄	C₂³	1	1	yes	characteristic
353	Dic₉⋊C₄	C₂³	1	1	yes	characteristic
354	Dic₉⋊C₄	C₂³	1	1	yes	characteristic
355	Dic₉⋊C₄	C₂³	1	1	yes	characteristic
356	Dic₉⋊C₄	C₂³	1	1	yes	characteristic
357	Dic₉⋊C₄	C₂³	1	1	yes	characteristic
358	Dic₉⋊C₄	C₂³	1	1	yes	characteristic
359	Dic₉⋊C₄	C₂³	1	1	yes	characteristic
360	Dic₉⋊C₄	C₂³	1	1	yes	characteristic
361	Dic₉⋊C₄	C₂³	1	1	yes	characteristic
362	Dic₉⋊C₄	C₂³	1	1	yes	characteristic
363	C₄×Dic₉	C₂³	1	1	yes	characteristic
364	C₄×Dic₉	C₂³	1	1	yes	characteristic
365	C₄×Dic₉	C₂³	1	1	yes	characteristic
366	C₄×Dic₉	C₂³	1	1	yes	characteristic
367	C₄×Dic₉	C₂³	1	1	yes	characteristic
368	C₄×Dic₉	C₂³	1	1	yes	characteristic
369	C₄×Dic₉	C₂³	1	1	yes	characteristic
370	C₄×Dic₉	C₂³	1	1	yes	characteristic
371	C₄×Dic₉	C₂³	1	1	yes	characteristic
372	C₄×Dic₉	C₂³	1	1	yes	characteristic
373	C₄×Dic₉	C₂³	1	1	yes	characteristic
374	#3568	—	9	1	no	Sylow
375	C₃×C₄⋊Q₈	C₂×D₃	1	1	yes	characteristic
376	C₃×#126	C₂×D₃	1	1	yes	characteristic
377	C₃×#126	C₂×D₃	1	1	yes	characteristic
378	C₃×#126	C₂×D₃	1	1	yes	characteristic
379	C₃×#126	C₂×D₃	1	1	yes	characteristic
380	C₃×#124	C₂×D₃	1	1	yes	characteristic
381	C₃×#124	C₂×D₃	1	1	yes	characteristic
382	C₃×C₂²⋊Q₈	C₂×D₃	1	1	yes	characteristic
383	C₃×C₂²⋊Q₈	C₂×D₃	1	1	yes	characteristic
384	C₃×C₄×Q₈	C₂×D₃	1	1	yes	characteristic
385	C₃×C₄×Q₈	C₂×D₃	1	1	yes	characteristic
386	C₃×C₄×Q₈	C₂×D₃	1	1	yes	characteristic
387	C₃×C₄×D₄	C₂×D₃	1	1	yes	characteristic
388	C₃×#117	C₂×D₃	1	1	yes	characteristic
389	C₃×#117	C₂×D₃	1	1	yes	characteristic
390	#947	—	3	1	no	—
391	#947	—	3	1	no	—
392	#947	—	3	1	no	—
393	#947	—	3	1	no	—
394	#947	—	3	1	no	—
395	#946	—	3	1	no	—
396	#946	—	3	1	no	—
397	#946	—	3	1	no	—
398	#946	—	3	1	no	—
399	#946	—	3	1	no	—
400	#944	—	3	1	no	—
401	#944	—	3	1	no	—
402	#939	—	3	1	no	—
403	#937	—	3	1	no	—
404	#937	—	3	1	no	—
405	#935	—	3	1	no	—
406	#930	—	3	1	no	—
407	#929	—	3	1	no	—
408	#929	—	3	1	no	—
409	C₄×#67	—	3	1	no	—
410	C₄×#67	—	3	1	no	—
411	C₂×(C₂×D₃)⋊C₄	—	3	1	no	—
412	C₂×(C₂×D₃)⋊C₄	—	3	1	no	—
413	#924	—	3	1	no	—
414	#898	—	3	1	no	—
415	#898	—	3	1	no	—
416	#898	—	3	1	no	—
417	#898	—	3	1	no	—
418	#898	—	3	1	no	—
419	#898	—	3	1	no	—
420	#898	—	3	1	no	—
421	#898	—	3	1	no	—
422	#898	—	3	1	no	—
423	#898	—	3	1	no	—
424	#898	—	3	1	no	—
425	#898	—	3	1	no	—
426	#897	—	3	1	no	—
427	#896	—	3	1	no	—
428	#896	—	3	1	no	—
429	#896	—	3	1	no	—
430	#896	—	3	1	no	—
431	#896	—	3	1	no	—
432	#896	—	3	1	no	—
433	#896	—	3	1	no	—
434	#896	—	3	1	no	—
435	#896	—	3	1	no	—
436	#895	—	3	1	no	—
437	#895	—	3	1	no	—
438	#895	—	3	1	no	—
439	#895	—	3	1	no	—
440	#894	—	3	1	no	—
441	#894	—	3	1	no	—
442	#894	—	3	1	no	—
443	#894	—	3	1	no	—
444	#894	—	3	1	no	—
445	#894	—	3	1	no	—
446	#894	—	3	1	no	—
447	#894	—	3	1	no	—
448	#894	—	3	1	no	—
449	#893	—	3	1	no	—
450	#893	—	3	1	no	—
451	#893	—	3	1	no	—
452	#892	—	3	1	no	—
453	#892	—	3	1	no	—
454	#890	—	3	1	no	—
455	#889	—	3	1	no	—
456	#889	—	3	1	no	—
457	#888	—	3	1	no	—
458	#888	—	3	1	no	—
459	#887	—	3	1	no	—
460	#887	—	3	1	no	—
461	#887	—	3	1	no	—
462	#886	—	3	1	no	—
463	#885	—	3	1	no	—
464	#885	—	3	1	no	—
465	#885	—	3	1	no	—
466	#885	—	3	1	no	—
467	#885	—	3	1	no	—
468	#885	—	3	1	no	—
469	#885	—	3	1	no	—
470	#885	—	3	1	no	—
471	#884	—	3	1	no	—
472	#884	—	3	1	no	—
473	#884	—	3	1	no	—
474	#883	—	3	1	no	—
475	#883	—	3	1	no	—
476	#883	—	3	1	no	—
477	#883	—	3	1	no	—
478	#883	—	3	1	no	—
479	#882	—	3	1	no	—
480	#882	—	3	1	no	—
481	#882	—	3	1	no	—
482	#882	—	3	1	no	—
483	#882	—	3	1	no	—
484	#882	—	3	1	no	—
485	#67⋊C₄	—	3	1	no	—
486	#67⋊C₄	—	3	1	no	—
487	#67⋊C₄	—	3	1	no	—
488	#67⋊C₄	—	3	1	no	—
489	D₃×C₂²⋊C₄	—	3	1	no	—
490	D₃×C₂²⋊C₄	—	3	1	no	—
491	D₃×C₂²⋊C₄	—	3	1	no	—
492	D₃×C₂²⋊C₄	—	3	1	no	—
493	#879	—	3	1	no	—
494	#879	—	3	1	no	—
495	#879	—	3	1	no	—
496	#879	—	3	1	no	—
497	#878	—	3	1	no	—
498	#878	—	3	1	no	—
499	#878	—	3	1	no	—
500	#877	—	3	1	no	—
501	#877	—	3	1	no	—
502	#876	—	3	1	no	—
503	#876	—	3	1	no	—
504	#876	—	3	1	no	—
505	#876	—	3	1	no	—
506	#876	—	3	1	no	—
507	#876	—	3	1	no	—
508	#875	—	3	1	no	—
509	#875	—	3	1	no	—
510	#875	—	3	1	no	—
511	#875	—	3	1	no	—
512	#875	—	3	1	no	—
513	#875	—	3	1	no	—
514	C₄×D₁₂	—	3	1	no	—
515	C₄×D₁₂	—	3	1	no	—
516	C₄×D₁₂	—	3	1	no	—
517	C₄×D₁₂	—	3	1	no	—
518	C₄×D₁₂	—	3	1	no	—
519	#872	—	3	1	no	—
520	#872	—	3	1	no	—
521	#872	—	3	1	no	—
522	#872	—	3	1	no	—
523	#872	—	3	1	no	—
524	#872	—	3	1	no	—
525	C₄²×D₃	—	3	1	no	—
526	#869	—	3	1	no	—
527	C₄×Dic₆	—	3	1	no	—
528	C₄×Dic₆	—	3	1	no	—
529	C₄×Dic₆	—	3	1	no	—
530	C₂³×C₉	C₂⁴	1	1	yes	characteristic
531	C₂³×C₉	C₂⁴	1	1	yes	characteristic
532	C₂²×D₉	—	4	1	no	—
533	C₂²×D₉	—	4	1	no	—
534	C₂²×D₉	—	4	1	no	—
535	C₂²×D₉	—	4	1	no	—
536	C₂²×D₉	—	4	1	no	—
537	C₂²×D₉	—	4	1	no	—
538	C₂²×D₉	C₂⁴	1	1	yes	characteristic
539	C₂²×D₉	C₂⁴	1	1	yes	characteristic
540	C₂²×D₉	C₂⁴	1	1	yes	characteristic
541	C₂²×D₉	C₂⁴	1	1	yes	characteristic
542	C₂²×D₉	C₂⁴	1	1	yes	characteristic
543	Q₈×C₉	—	4	1	no	—
544	Q₈×C₉	—	4	1	no	—
545	Q₈×C₉	—	4	1	no	—
546	D₄×C₉	—	4	1	no	—
547	C₂×C₄×C₉	—	4	1	no	—
548	C₂×C₄×C₉	—	4	1	no	—
549	C₂×C₄×C₉	C₂⁴	1	1	yes	characteristic
550	C₂×C₄×C₉	C₂⁴	1	1	yes	characteristic
551	C₂×C₄×C₉	C₂⁴	1	1	yes	characteristic
552	C₂×C₄×C₉	C₂⁴	1	1	yes	characteristic
553	C₂×C₄×C₉	C₂⁴	1	1	yes	characteristic
554	C₂×C₄×C₉	C₂⁴	1	1	yes	characteristic
555	C₂×C₄×C₉	C₂⁴	1	1	yes	characteristic
556	C₂×C₄×C₉	C₂⁴	1	1	yes	characteristic
557	C₂×C₄×C₉	C₂⁴	1	1	yes	characteristic
558	C₂×C₄×C₉	C₂⁴	1	1	yes	characteristic
559	C₂×C₄×C₉	C₂⁴	1	1	yes	characteristic
560	C₂×C₄×C₉	C₂⁴	1	1	yes	characteristic
561	C₂×C₄×C₉	C₂⁴	1	1	yes	characteristic
562	#611	—	4	1	no	—
563	#611	—	4	1	no	—
564	#611	—	4	1	no	—
565	#611	—	4	1	no	—
566	#611	—	4	1	no	—
567	#611	—	4	1	no	—
568	C₂×Dic₉	—	4	1	no	—
569	C₂×Dic₉	—	4	1	no	—
570	C₂×Dic₉	C₂⁴	1	1	yes	characteristic
571	C₂×Dic₉	C₂⁴	1	1	yes	characteristic
572	C₂×Dic₉	C₂⁴	1	1	yes	characteristic
573	C₂×Dic₉	C₂⁴	1	1	yes	characteristic
574	C₂×Dic₉	C₂⁴	1	1	yes	characteristic
575	C₂×Dic₉	C₂⁴	1	1	yes	characteristic
576	C₂×Dic₉	C₂⁴	1	1	yes	characteristic
577	C₂×Dic₉	C₂⁴	1	1	yes	characteristic
578	C₂×Dic₉	C₂⁴	1	1	yes	characteristic
579	C₂×Dic₉	C₂⁴	1	1	yes	characteristic
580	C₂×Dic₉	C₂⁴	1	1	yes	characteristic
581	D₃₆	—	4	1	no	—
582	D₃₆	—	4	1	no	—
583	D₃₆	—	4	1	no	—
584	D₃₆	—	4	1	no	—
585	D₃₆	—	4	1	no	—
586	D₃₆	—	4	1	no	—
587	D₃₆	—	4	1	no	—
588	D₃₆	—	4	1	no	—
589	C₄×D₉	—	4	1	no	—
590	C₄×D₉	—	4	1	no	—
591	C₄×D₉	—	4	1	no	—
592	C₄×D₉	—	4	1	no	—
593	C₄×D₉	—	4	1	no	—
594	C₄×D₉	—	4	1	no	—
595	C₄×D₉	—	4	1	no	—
596	C₄×D₉	—	4	1	no	—
597	C₄×D₉	—	4	1	no	—
598	C₄×D₉	—	4	1	no	—
599	C₄×D₉	—	4	1	no	—
600	Dic₁₈	—	4	1	no	—
601	Dic₁₈	—	4	1	no	—
602	Dic₁₈	—	4	1	no	—
603	Dic₁₈	—	4	1	no	—
604	Dic₁₈	—	4	1	no	—
605	Dic₁₈	—	4	1	no	—
606	#563	—	9	1	no	—
607	#563	—	9	1	no	—
608	#563	—	9	1	no	—
609	H(3,𝔽₄)	—	9	1	no	—
610	#556	—	9	1	no	—
611	#556	—	9	1	no	—
612	#556	—	9	1	no	—
613	#556	—	9	1	no	—
614	#556	—	9	1	no	—
615	#556	D₉	1	1	yes	characteristic, complemented
616	#551	—	9	1	no	—
617	#551	—	9	1	no	—
618	#551	—	9	1	no	—
619	#551	—	9	1	no	—
620	#551	—	9	1	no	—
621	#551	—	9	1	no	—
622	#542	—	9	1	no	—
623	#542	—	9	1	no	—
624	#542	—	9	1	no	—
625	#542	—	9	1	no	—
626	#542	—	9	1	no	—
627	#542	—	9	1	no	—
628	#538	—	9	1	no	—
629	#538	—	9	1	no	—
630	#538	—	9	1	no	—
631	#538	—	9	1	no	—
632	#538	—	9	1	no	—
633	#538	—	9	1	no	—
634	#529	—	9	1	no	—
635	#529	—	9	1	no	—
636	#529	—	9	1	no	—
637	C₂³×D₃	—	3	1	no	—
638	C₂³×D₃	—	3	1	no	—
639	C₂×C₃×Q₈	C₂²×D₃	1	1	yes	characteristic
640	C₂×C₃×Q₈	C₂²×D₃	1	1	yes	characteristic
641	C₂×C₃×Q₈	C₂²×D₃	1	1	yes	characteristic
642	C₂×C₃×D₄	C₂²×D₃	1	1	yes	characteristic
643	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
644	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
645	C₂×#67	—	3	1	no	—
646	C₂×#67	—	3	1	no	—
647	C₂×#67	—	3	1	no	—
648	C₂×#67	—	3	1	no	—
649	C₂×#67	—	3	1	no	—
650	C₂×#67	—	3	1	no	—
651	C₂²×Dic₃	—	3	1	no	—
652	C₂²×Dic₃	—	3	1	no	—
653	C₂×D₁₂	—	3	1	no	—
654	C₂×D₁₂	—	3	1	no	—
655	C₂×D₁₂	—	3	1	no	—
656	C₂×D₁₂	—	3	1	no	—
657	C₂×D₁₂	—	3	1	no	—
658	C₂×D₁₂	—	3	1	no	—
659	C₂×D₁₂	—	3	1	no	—
660	C₂×D₁₂	—	3	1	no	—
661	C₂×C₄×D₃	—	3	1	no	—
662	C₂×C₄×D₃	—	3	1	no	—
663	C₂×C₄×D₃	—	3	1	no	—
664	C₂×C₄×D₃	—	3	1	no	—
665	C₂×C₄×D₃	—	3	1	no	—
666	C₂×C₄×D₃	—	3	1	no	—
667	C₂×C₄×D₃	—	3	1	no	—
668	C₂×C₄×D₃	—	3	1	no	—
669	C₂×C₄×D₃	—	3	1	no	—
670	C₂×C₄×D₃	—	3	1	no	—
671	C₂×C₄×D₃	—	3	1	no	—
672	C₂×Dic₆	—	3	1	no	—
673	C₂×Dic₆	—	3	1	no	—
674	C₂×Dic₆	—	3	1	no	—
675	C₂×Dic₆	—	3	1	no	—
676	C₂×Dic₆	—	3	1	no	—
677	C₂×Dic₆	—	3	1	no	—
678	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
679	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
680	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
681	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
682	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
683	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
684	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
685	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
686	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
687	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
688	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
689	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
690	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
691	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
692	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
693	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
694	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
695	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
696	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
697	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
698	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
699	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
700	C₃×C₄²	C₂²×D₃	1	1	yes	characteristic
701	C₃×C₄²	C₂²×D₃	1	1	yes	characteristic
702	C₃×C₄²	C₂²×D₃	1	1	yes	characteristic
703	C₃×C₄²	C₂²×D₃	1	1	yes	characteristic
704	C₃×C₄²	C₂²×D₃	1	1	yes	characteristic
705	C₃×C₄²	C₂²×D₃	1	1	yes	characteristic
706	C₃×C₄²	C₂²×D₃	1	1	yes	characteristic
707	#217	—	3	1	no	—
708	#217	—	3	1	no	—
709	#217	—	3	1	no	—
710	#217	—	3	1	no	—
711	#217	—	3	1	no	—
712	#217	—	3	1	no	—
713	(C₂×D₃)⋊C₄	—	3	1	no	—
714	(C₂×D₃)⋊C₄	—	3	1	no	—
715	(C₂×D₃)⋊C₄	—	3	1	no	—
716	(C₂×D₃)⋊C₄	—	3	1	no	—
717	(C₂×D₃)⋊C₄	—	3	1	no	—
718	(C₂×D₃)⋊C₄	—	3	1	no	—
719	(C₂×D₃)⋊C₄	—	3	1	no	—
720	(C₂×D₃)⋊C₄	—	3	1	no	—
721	(C₂×D₃)⋊C₄	—	3	1	no	—
722	(C₂×D₃)⋊C₄	—	3	1	no	—
723	(C₂×D₃)⋊C₄	—	3	1	no	—
724	(C₂×D₃)⋊C₄	—	3	1	no	—
725	(C₂×D₃)⋊C₄	—	3	1	no	—
726	(C₂×D₃)⋊C₄	—	3	1	no	—
727	(C₂×D₃)⋊C₄	—	3	1	no	—
728	(C₂×D₃)⋊C₄	—	3	1	no	—
729	(C₂×D₃)⋊C₄	—	3	1	no	—
730	(C₂×D₃)⋊C₄	—	3	1	no	—
731	(C₂×D₃)⋊C₄	—	3	1	no	—
732	(C₂×D₃)⋊C₄	—	3	1	no	—
733	(C₂×D₃)⋊C₄	—	3	1	no	—
734	(C₂×D₃)⋊C₄	—	3	1	no	—
735	(C₂×D₃)⋊C₄	—	3	1	no	—
736	(C₂×D₃)⋊C₄	—	3	1	no	—
737	(C₂×D₃)⋊C₄	—	3	1	no	—
738	(C₂×D₃)⋊C₄	—	3	1	no	—
739	(C₂×D₃)⋊C₄	—	3	1	no	—
740	(C₂×D₃)⋊C₄	—	3	1	no	—
741	(C₂×D₃)⋊C₄	—	3	1	no	—
742	(C₂×D₃)⋊C₄	—	3	1	no	—
743	(C₂×D₃)⋊C₄	—	3	1	no	—
744	(C₂×D₃)⋊C₄	—	3	1	no	—
745	(C₂×D₃)⋊C₄	—	3	1	no	—
746	(C₂×D₃)⋊C₄	—	3	1	no	—
747	(C₂×D₃)⋊C₄	—	3	1	no	—
748	(C₂×D₃)⋊C₄	—	3	1	no	—
749	(C₂×D₃)⋊C₄	—	3	1	no	—
750	(C₂×D₃)⋊C₄	—	3	1	no	—
751	C₄⋊Dic₃	—	3	1	no	—
752	C₄⋊Dic₃	—	3	1	no	—
753	C₄⋊Dic₃	—	3	1	no	—
754	C₄⋊Dic₃	—	3	1	no	—
755	C₄⋊Dic₃	—	3	1	no	—
756	C₄⋊Dic₃	—	3	1	no	—
757	C₄⋊Dic₃	—	3	1	no	—
758	C₄⋊Dic₃	—	3	1	no	—
759	Dic₃⋊C₄	—	3	1	no	—
760	Dic₃⋊C₄	—	3	1	no	—
761	Dic₃⋊C₄	—	3	1	no	—
762	Dic₃⋊C₄	—	3	1	no	—
763	Dic₃⋊C₄	—	3	1	no	—
764	Dic₃⋊C₄	—	3	1	no	—
765	Dic₃⋊C₄	—	3	1	no	—
766	Dic₃⋊C₄	—	3	1	no	—
767	Dic₃⋊C₄	—	3	1	no	—
768	Dic₃⋊C₄	—	3	1	no	—
769	Dic₃⋊C₄	—	3	1	no	—
770	Dic₃⋊C₄	—	3	1	no	—
771	Dic₃⋊C₄	—	3	1	no	—
772	Dic₃⋊C₄	—	3	1	no	—
773	Dic₃⋊C₄	—	3	1	no	—
774	Dic₃⋊C₄	—	3	1	no	—
775	Dic₃⋊C₄	—	3	1	no	—
776	Dic₃⋊C₄	—	3	1	no	—
777	Dic₃⋊C₄	—	3	1	no	—
778	Dic₃⋊C₄	—	3	1	no	—
779	Dic₃⋊C₄	—	3	1	no	—
780	Dic₃⋊C₄	—	3	1	no	—
781	C₄×Dic₃	—	3	1	no	—
782	C₄×Dic₃	—	3	1	no	—
783	C₄×Dic₃	—	3	1	no	—
784	C₄×Dic₃	—	3	1	no	—
785	C₄×Dic₃	—	3	1	no	—
786	C₄×Dic₃	—	3	1	no	—
787	C₄×Dic₃	—	3	1	no	—
788	C₄×Dic₃	—	3	1	no	—
789	C₄×Dic₃	—	3	1	no	—
790	C₄×Dic₃	—	3	1	no	—
791	C₄×Dic₃	—	3	1	no	—
792	C₂²×C₉	—	2	1	no	—
793	C₂²×C₉	—	2	1	no	—
794	C₂²×C₉	—	2	1	no	—
795	C₂²×C₉	—	2	1	no	—
796	C₂²×C₉	—	2	1	no	—
797	C₂²×C₉	—	2	1	no	—
798	C₂²×C₉	C₂⁵	1	1	yes	characteristic
799	C₂×D₉	—	2	1	no	—
800	C₂×D₉	—	2	1	no	—
801	C₂×D₉	—	2	1	no	—
802	C₂×D₉	—	2	1	no	—
803	C₂×D₉	—	2	1	no	—
804	C₂×D₉	—	2	1	no	—
805	C₂×D₉	—	2	1	no	—
806	C₂×D₉	—	2	1	no	—
807	C₂×D₉	—	2	1	no	—
808	C₂×D₉	—	2	1	no	—
809	C₂×D₉	—	2	1	no	—
810	C₂×D₉	—	2	1	no	—
811	C₂×D₉	—	2	1	no	—
812	C₂×D₉	—	2	1	no	—
813	C₂×D₉	—	2	1	no	—
814	C₂×D₉	—	8	2	no	—
815	C₂×D₉	—	8	2	no	—
816	C₄×C₉	—	2	1	no	—
817	C₄×C₉	—	2	1	no	—
818	C₄×C₉	—	2	1	no	—
819	C₄×C₉	—	2	1	no	—
820	C₄×C₉	—	2	1	no	—
821	C₄×C₉	—	2	1	no	—
822	C₄×C₉	—	2	1	no	—
823	C₄×C₉	—	2	1	no	—
824	C₄×C₉	—	2	1	no	—
825	C₄×C₉	—	2	1	no	—
826	C₄×C₉	—	2	1	no	—
827	C₄×C₉	—	2	1	no	—
828	C₄×C₉	—	2	1	no	—
829	Dic₉	—	2	1	no	—
830	Dic₉	—	2	1	no	—
831	Dic₉	—	2	1	no	—
832	Dic₉	—	2	1	no	—
833	Dic₉	—	2	1	no	—
834	Dic₉	—	2	1	no	—
835	Dic₉	—	2	1	no	—
836	Dic₉	—	2	1	no	—
837	Dic₉	—	2	1	no	—
838	Dic₉	—	2	1	no	—
839	Dic₉	—	2	1	no	—
840	C₄⋊Q₈	—	9	1	no	—
841	C₄⋊Q₈	—	9	1	no	—
842	C₄⋊Q₈	—	9	1	no	—
843	C₄⋊Q₈	—	9	1	no	—
844	C₄⋊Q₈	—	9	1	no	—
845	C₄⋊Q₈	C₂×D₉	1	1	yes	characteristic, complemented
846	#126	—	9	1	no	—
847	#126	—	9	1	no	—
848	#126	—	9	1	no	—
849	#126	—	9	1	no	—
850	#126	—	9	1	no	—
851	#126	—	9	1	no	—
852	#126	—	9	1	no	—
853	#126	—	9	1	no	—
854	#126	—	9	1	no	—
855	#126	—	9	1	no	—
856	#126	—	9	1	no	—
857	#126	—	9	1	no	—
858	#126	—	9	1	no	—
859	#126	—	9	1	no	—
860	#126	—	9	1	no	—
861	#126	—	9	1	no	—
862	#126	—	9	1	no	—
863	#126	—	9	1	no	—
864	#126	—	9	1	no	—
865	#126	—	9	1	no	—
866	#126	—	9	1	no	—
867	#126	—	9	1	no	—
868	#126	C₂×D₉	1	1	yes	characteristic, complemented
869	#126	C₂×D₉	1	1	yes	characteristic, complemented
870	#126	C₂×D₉	1	1	yes	characteristic, complemented
871	#126	C₂×D₉	1	1	yes	characteristic, complemented
872	#125	—	9	1	no	—
873	#125	—	9	1	no	—
874	#125	—	9	1	no	—
875	#124	—	9	1	no	—
876	#124	—	9	1	no	—
877	#124	—	9	1	no	—
878	#124	—	9	1	no	—
879	#124	—	9	1	no	—
880	#124	—	9	1	no	—
881	#124	—	9	1	no	—
882	#124	—	9	1	no	—
883	#124	—	9	1	no	—
884	#124	—	9	1	no	—
885	#124	—	9	1	no	—
886	#124	—	9	1	no	—
887	#124	—	9	1	no	—
888	#124	—	9	1	no	—
889	#124	—	9	1	no	—
890	#124	—	9	1	no	—
891	#124	—	9	1	no	—
892	#124	—	9	1	no	—
893	#124	—	9	1	no	—
894	#124	C₂×D₉	1	1	yes	characteristic
895	#124	C₂×D₉	1	1	yes	characteristic
896	#123	—	9	1	no	—
897	#123	—	9	1	no	—
898	#123	—	9	1	no	—
899	#123	—	9	1	no	—
900	#123	—	9	1	no	—
901	#123	—	9	1	no	—
902	#123	—	9	1	no	—
903	#123	—	9	1	no	—
904	#123	—	9	1	no	—
905	#123	—	9	1	no	—
906	#123	—	9	1	no	—
907	#123	—	9	1	no	—
908	#123	—	9	1	no	—
909	#123	—	9	1	no	—
910	#123	—	9	1	no	—
911	#123	—	9	1	no	—
912	#123	—	9	1	no	—
913	#123	—	9	1	no	—
914	C₂²⋊Q₈	—	9	1	no	—
915	C₂²⋊Q₈	—	9	1	no	—
916	C₂²⋊Q₈	—	9	1	no	—
917	C₂²⋊Q₈	—	9	1	no	—
918	C₂²⋊Q₈	—	9	1	no	—
919	C₂²⋊Q₈	—	9	1	no	—
920	C₂²⋊Q₈	—	9	1	no	—
921	C₂²⋊Q₈	—	9	1	no	—
922	C₂²⋊Q₈	—	9	1	no	—
923	C₂²⋊Q₈	—	9	1	no	—
924	C₂²⋊Q₈	—	9	1	no	—
925	C₂²⋊Q₈	—	9	1	no	—
926	C₂²⋊Q₈	—	9	1	no	—
927	C₂²⋊Q₈	—	9	1	no	—
928	C₂²⋊Q₈	—	9	1	no	—
929	C₂²⋊Q₈	—	9	1	no	—
930	C₂²⋊Q₈	—	9	1	no	—
931	C₂²⋊Q₈	—	9	1	no	—
932	C₂²⋊Q₈	—	9	1	no	—
933	C₂²⋊Q₈	C₂×D₉	1	1	yes	characteristic, complemented
934	C₂²⋊Q₈	C₂×D₉	1	1	yes	characteristic, complemented
935	#121	—	9	1	no	—
936	#121	—	9	1	no	—
937	#121	—	9	1	no	—
938	#121	—	9	1	no	—
939	#121	—	9	1	no	—
940	#121	—	9	1	no	—
941	#121	—	9	1	no	—
942	#121	—	9	1	no	—
943	#121	—	9	1	no	—
944	#120	—	9	1	no	—
945	#120	—	9	1	no	—
946	#120	—	9	1	no	—
947	#120	—	9	1	no	—
948	#120	—	9	1	no	—
949	#120	—	9	1	no	—
950	#120	—	9	1	no	—
951	#120	—	9	1	no	—
952	C₄×Q₈	—	9	1	no	—
953	C₄×Q₈	—	9	1	no	—
954	C₄×Q₈	—	9	1	no	—
955	C₄×Q₈	—	9	1	no	—
956	C₄×Q₈	—	9	1	no	—
957	C₄×Q₈	—	9	1	no	—
958	C₄×Q₈	C₂×D₉	1	1	yes	characteristic, complemented
959	C₄×Q₈	C₂×D₉	1	1	yes	characteristic, complemented
960	C₄×Q₈	C₂×D₉	1	1	yes	characteristic, complemented
961	C₄×D₄	—	9	1	no	—
962	C₄×D₄	—	9	1	no	—
963	C₄×D₄	—	9	1	no	—
964	C₄×D₄	—	9	1	no	—
965	C₄×D₄	—	9	1	no	—
966	C₄×D₄	—	9	1	no	—
967	C₄×D₄	—	9	1	no	—
968	C₄×D₄	—	9	1	no	—
969	C₄×D₄	—	9	1	no	—
970	C₄×D₄	—	9	1	no	—
971	C₄×D₄	—	9	1	no	—
972	C₄×D₄	—	9	1	no	—
973	C₄×D₄	—	9	1	no	—
974	C₄×D₄	—	9	1	no	—
975	C₄×D₄	C₂×D₉	1	1	yes	characteristic
976	#117	—	9	1	no	—
977	#117	—	9	1	no	—
978	#117	—	9	1	no	—
979	#117	—	9	1	no	—
980	#117	—	9	1	no	—
981	#117	—	9	1	no	—
982	#117	—	9	1	no	—
983	#117	—	9	1	no	—
984	#117	—	9	1	no	—
985	#117	—	9	1	no	—
986	#117	C₂×D₉	1	1	yes	characteristic, complemented
987	#117	C₂×D₉	1	1	yes	characteristic, complemented
988	C₂×C₂²⋊C₄	—	9	1	no	—
989	C₂×C₂²⋊C₄	—	9	1	no	—
990	C₂×C₂²⋊C₄	—	9	1	no	—
991	C₂×C₂²⋊C₄	—	9	1	no	—
992	C₂×C₂²⋊C₄	—	9	1	no	—
993	C₂×C₂²⋊C₄	—	9	1	no	—
994	C₂×C₄²	—	9	1	no	—
995	C₂³×C₃	C₂³×D₃	1	1	yes	characteristic
996	C₂³×C₃	C₂³×D₃	1	1	yes	characteristic
997	C₂²×D₃	—	3	1	no	—
998	C₂²×D₃	—	3	1	no	—
999	C₂²×D₃	—	3	1	no	—
1000	C₂²×D₃	—	3	1	no	—
1001	C₂²×D₃	—	3	1	no	—
1002	C₂²×D₃	—	12	1	no	—
1003	C₂²×D₃	—	12	1	no	—
1004	C₂²×D₃	—	12	1	no	—
1005	C₂²×D₃	—	12	1	no	—
1006	C₂²×D₃	—	12	1	no	—
1007	C₂²×D₃	—	12	1	no	—
1008	C₃×Q₈	—	4	1	no	—
1009	C₃×Q₈	—	4	1	no	—
1010	C₃×Q₈	—	4	1	no	—
1011	C₃×D₄	—	4	1	no	—
1012	C₂×C₃×C₄	—	4	1	no	—
1013	C₂×C₃×C₄	—	4	1	no	—
1014	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1015	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1016	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1017	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1018	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1019	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1020	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1021	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1022	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1023	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1024	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1025	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1026	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1027	#67	—	12	1	no	—
1028	#67	—	12	1	no	—
1029	#67	—	12	1	no	—
1030	#67	—	12	1	no	—
1031	#67	—	12	1	no	—
1032	#67	—	12	1	no	—
1033	C₂×Dic₃	—	3	1	no	—
1034	C₂×Dic₃	—	3	1	no	—
1035	C₂×Dic₃	—	3	1	no	—
1036	C₂×Dic₃	—	3	1	no	—
1037	C₂×Dic₃	—	3	1	no	—
1038	C₂×Dic₃	—	3	1	no	—
1039	C₂×Dic₃	—	3	1	no	—
1040	C₂×Dic₃	—	3	1	no	—
1041	C₂×Dic₃	—	3	1	no	—
1042	C₂×Dic₃	—	3	1	no	—
1043	C₂×Dic₃	—	3	1	no	—
1044	C₂×Dic₃	—	12	1	no	—
1045	C₂×Dic₃	—	12	1	no	—
1046	D₁₂	—	12	1	no	—
1047	D₁₂	—	12	1	no	—
1048	D₁₂	—	12	1	no	—
1049	D₁₂	—	12	1	no	—
1050	D₁₂	—	12	1	no	—
1051	D₁₂	—	12	1	no	—
1052	D₁₂	—	12	1	no	—
1053	D₁₂	—	12	1	no	—
1054	C₄×D₃	—	12	1	no	—
1055	C₄×D₃	—	12	1	no	—
1056	C₄×D₃	—	12	1	no	—
1057	C₄×D₃	—	12	1	no	—
1058	C₄×D₃	—	12	1	no	—
1059	C₄×D₃	—	12	1	no	—
1060	C₄×D₃	—	12	1	no	—
1061	C₄×D₃	—	12	1	no	—
1062	C₄×D₃	—	12	1	no	—
1063	C₄×D₃	—	12	1	no	—
1064	C₄×D₃	—	12	1	no	—
1065	Dic₆	—	12	1	no	—
1066	Dic₆	—	12	1	no	—
1067	Dic₆	—	12	1	no	—
1068	Dic₆	—	12	1	no	—
1069	Dic₆	—	12	1	no	—
1070	Dic₆	—	12	1	no	—
1071	C₂×C₉	—	4	1	no	—
1072	C₂×C₉	—	4	1	no	—
1073	C₂×C₉	#585	1	1	yes	characteristic
1074	C₂×C₉	#585	1	1	yes	characteristic
1075	C₂×C₉	#585	1	1	yes	characteristic
1076	D₉	—	4	1	no	—
1077	D₉	—	4	1	no	—
1078	D₉	—	4	1	no	—
1079	D₉	—	4	1	no	—
1080	D₉	—	4	1	no	—
1081	C₂⁴	—	9	1	no	—
1082	C₂⁴	—	9	1	no	—
1083	C₂×Q₈	—	9	1	no	—
1084	C₂×Q₈	—	9	1	no	—
1085	C₂×Q₈	—	9	1	no	—
1086	C₂×Q₈	—	9	1	no	—
1087	C₂×Q₈	—	9	1	no	—
1088	C₂×Q₈	—	9	1	no	—
1089	C₂×Q₈	C₂²×D₉	1	1	yes	characteristic
1090	C₂×Q₈	C₂²×D₉	1	1	yes	characteristic
1091	C₂×Q₈	C₂²×D₉	1	1	yes	characteristic
1092	C₂×D₄	—	9	1	no	—
1093	C₂×D₄	—	9	1	no	—
1094	C₂×D₄	—	9	1	no	—
1095	C₂×D₄	—	9	1	no	—
1096	C₂×D₄	—	9	1	no	—
1097	C₂×D₄	—	9	1	no	—
1098	C₂×D₄	—	9	1	no	—
1099	C₂×D₄	—	9	1	no	—
1100	C₂×D₄	—	9	1	no	—
1101	C₂×D₄	—	9	1	no	—
1102	C₂×D₄	—	9	1	no	—
1103	C₂×D₄	—	9	1	no	—
1104	C₂×D₄	—	9	1	no	—
1105	C₂×D₄	—	9	1	no	—
1106	C₂×D₄	C₂²×D₉	1	1	yes	characteristic
1107	C₂²×C₄	—	9	1	no	—
1108	C₂²×C₄	—	9	1	no	—
1109	C₂²×C₄	—	9	1	no	—
1110	C₂²×C₄	—	9	1	no	—
1111	C₂²×C₄	—	9	1	no	—
1112	C₂²×C₄	—	9	1	no	—
1113	C₂²×C₄	—	9	1	no	—
1114	C₂²×C₄	—	9	1	no	—
1115	C₂²×C₄	—	9	1	no	—
1116	C₂²×C₄	—	9	1	no	—
1117	C₂²×C₄	—	9	1	no	—
1118	C₂²×C₄	—	9	1	no	—
1119	C₂²×C₄	—	9	1	no	—
1120	C₂²×C₄	C₂²×D₉	1	1	yes	characteristic
1121	C₂²×C₄	C₂²×D₉	1	1	yes	characteristic
1122	C₄⋊C₄	—	9	1	no	—
1123	C₄⋊C₄	—	9	1	no	—
1124	C₄⋊C₄	—	9	1	no	—
1125	C₄⋊C₄	—	9	1	no	—
1126	C₄⋊C₄	—	9	1	no	—
1127	C₄⋊C₄	—	9	1	no	—
1128	C₄⋊C₄	—	9	1	no	—
1129	C₄⋊C₄	—	9	1	no	—
1130	C₄⋊C₄	—	9	1	no	—
1131	C₄⋊C₄	—	9	1	no	—
1132	C₄⋊C₄	—	9	1	no	—
1133	C₄⋊C₄	—	9	1	no	—
1134	C₄⋊C₄	—	9	1	no	—
1135	C₄⋊C₄	—	9	1	no	—
1136	C₄⋊C₄	—	9	1	no	—
1137	C₄⋊C₄	—	9	1	no	—
1138	C₄⋊C₄	—	9	1	no	—
1139	C₄⋊C₄	—	9	1	no	—
1140	C₄⋊C₄	—	9	1	no	—
1141	C₄⋊C₄	—	9	1	no	—
1142	C₄⋊C₄	—	9	1	no	—
1143	C₄⋊C₄	—	9	1	no	—
1144	C₄⋊C₄	—	9	1	no	—
1145	C₄⋊C₄	—	9	1	no	—
1146	C₄⋊C₄	—	9	1	no	—
1147	C₄⋊C₄	—	9	1	no	—
1148	C₄⋊C₄	—	9	1	no	—
1149	C₄⋊C₄	—	9	1	no	—
1150	C₄⋊C₄	—	9	1	no	—
1151	C₄⋊C₄	—	9	1	no	—
1152	C₄⋊C₄	C₂²×D₉	1	1	yes	characteristic
1153	C₄⋊C₄	C₂²×D₉	1	1	yes	characteristic
1154	C₄⋊C₄	C₂²×D₉	1	1	yes	characteristic
1155	C₄⋊C₄	C₂²×D₉	1	1	yes	characteristic
1156	C₄⋊C₄	C₂²×D₉	1	1	yes	characteristic
1157	C₄⋊C₄	C₂²×D₉	1	1	yes	characteristic
1158	C₄⋊C₄	C₂²×D₉	1	1	yes	characteristic
1159	C₄⋊C₄	C₂²×D₉	1	1	yes	characteristic
1160	C₄⋊C₄	C₂²×D₉	1	1	yes	characteristic
1161	C₄⋊C₄	C₂²×D₉	1	1	yes	characteristic
1162	C₄⋊C₄	C₂²×D₉	1	1	yes	characteristic
1163	C₄⋊C₄	C₂²×D₉	1	1	yes	characteristic
1164	C₂²⋊C₄	—	9	1	no	—
1165	C₂²⋊C₄	—	9	1	no	—
1166	C₂²⋊C₄	—	9	1	no	—
1167	C₂²⋊C₄	—	9	1	no	—
1168	C₂²⋊C₄	—	9	1	no	—
1169	C₂²⋊C₄	—	9	1	no	—
1170	C₂²⋊C₄	—	9	1	no	—
1171	C₂²⋊C₄	—	9	1	no	—
1172	C₂²⋊C₄	—	9	1	no	—
1173	C₂²⋊C₄	—	9	1	no	—
1174	C₂²⋊C₄	—	9	1	no	—
1175	C₂²⋊C₄	—	9	1	no	—
1176	C₂²⋊C₄	—	9	1	no	—
1177	C₂²⋊C₄	—	9	1	no	—
1178	C₂²⋊C₄	—	9	1	no	—
1179	C₂²⋊C₄	—	9	1	no	—
1180	C₂²⋊C₄	—	9	1	no	—
1181	C₂²⋊C₄	—	9	1	no	—
1182	C₂²⋊C₄	—	9	1	no	—
1183	C₂²⋊C₄	—	9	1	no	—
1184	C₂²⋊C₄	—	9	1	no	—
1185	C₂²⋊C₄	—	9	1	no	—
1186	C₂²⋊C₄	—	9	1	no	—
1187	C₂²⋊C₄	—	9	1	no	—
1188	C₂²⋊C₄	—	9	1	no	—
1189	C₂²⋊C₄	—	9	1	no	—
1190	C₂²⋊C₄	—	9	1	no	—
1191	C₂²⋊C₄	—	9	1	no	—
1192	C₂²⋊C₄	—	9	1	no	—
1193	C₂²⋊C₄	—	9	1	no	—
1194	C₂²⋊C₄	—	9	1	no	—
1195	C₂²⋊C₄	—	9	1	no	—
1196	C₂²⋊C₄	—	9	1	no	—
1197	C₂²⋊C₄	—	9	1	no	—
1198	C₂²⋊C₄	—	9	1	no	—
1199	C₂²⋊C₄	—	9	1	no	—
1200	C₂²⋊C₄	—	9	1	no	—
1201	C₂²⋊C₄	—	9	1	no	—
1202	C₂²⋊C₄	—	9	1	no	—
1203	C₂²⋊C₄	—	9	1	no	—
1204	C₂²⋊C₄	—	9	1	no	—
1205	C₂²⋊C₄	—	9	1	no	—
1206	C₂²⋊C₄	—	9	1	no	—
1207	C₂²⋊C₄	—	9	1	no	—
1208	C₂²⋊C₄	C₂²×D₉	1	1	yes	characteristic
1209	C₂²⋊C₄	C₂²×D₉	1	1	yes	characteristic
1210	C₂²⋊C₄	C₂²×D₉	1	1	yes	characteristic
1211	C₂²⋊C₄	C₂²×D₉	1	1	yes	characteristic
1212	C₂²⋊C₄	C₂²×D₉	1	1	yes	characteristic
1213	C₂²⋊C₄	C₂²×D₉	1	1	yes	characteristic
1214	C₂²⋊C₄	C₂²×D₉	1	1	yes	characteristic
1215	C₂²⋊C₄	C₂²×D₉	1	1	yes	characteristic
1216	C₂²⋊C₄	C₂²×D₉	1	1	yes	characteristic
1217	C₂²⋊C₄	C₂²×D₉	1	1	yes	characteristic
1218	C₄²	—	9	1	no	—
1219	C₄²	—	9	1	no	—
1220	C₄²	—	9	1	no	—
1221	C₄²	—	9	1	no	—
1222	C₄²	—	9	1	no	—
1223	C₄²	—	9	1	no	—
1224	C₄²	—	9	1	no	—
1225	C₄²	—	9	1	no	—
1226	C₄²	—	9	1	no	—
1227	C₄²	—	9	1	no	—
1228	C₄²	—	9	1	no	—
1229	C₄²	C₂²×D₉	1	1	yes	characteristic
1230	C₄²	C₂²×D₉	1	1	yes	characteristic
1231	C₄²	C₂²×D₉	1	1	yes	characteristic
1232	C₄²	C₂²×D₉	1	1	yes	characteristic
1233	C₄²	C₂²×D₉	1	1	yes	characteristic
1234	C₄²	C₂²×D₉	1	1	yes	characteristic
1235	C₄²	C₂²×D₉	1	1	yes	characteristic
1236	C₂²×C₃	—	2	1	no	—
1237	C₂²×C₃	—	2	1	no	—
1238	C₂²×C₃	—	2	1	no	—
1239	C₂²×C₃	—	2	1	no	—
1240	C₂²×C₃	—	2	1	no	—
1241	C₂²×C₃	—	2	1	no	—
1242	C₂²×C₃	C₂⁴×D₃	1	1	yes	characteristic
1243	C₂×D₃	—	6	1	no	—
1244	C₂×D₃	—	6	1	no	—
1245	C₂×D₃	—	6	1	no	—
1246	C₂×D₃	—	6	1	no	—
1247	C₂×D₃	—	6	1	no	—
1248	C₂×D₃	—	6	1	no	—
1249	C₂×D₃	—	6	1	no	—
1250	C₂×D₃	—	6	1	no	—
1251	C₂×D₃	—	6	1	no	—
1252	C₂×D₃	—	6	1	no	—
1253	C₂×D₃	—	6	1	no	—
1254	C₂×D₃	—	6	1	no	—
1255	C₂×D₃	—	6	1	no	—
1256	C₂×D₃	—	6	1	no	—
1257	C₂×D₃	—	6	1	no	—
1258	C₂×D₃	—	24	2	no	—
1259	C₂×D₃	—	24	2	no	—
1260	C₃×C₄	—	2	1	no	—
1261	C₃×C₄	—	2	1	no	—
1262	C₃×C₄	—	2	1	no	—
1263	C₃×C₄	—	2	1	no	—
1264	C₃×C₄	—	2	1	no	—
1265	C₃×C₄	—	2	1	no	—
1266	C₃×C₄	—	2	1	no	—
1267	C₃×C₄	—	2	1	no	—
1268	C₃×C₄	—	2	1	no	—
1269	C₃×C₄	—	2	1	no	—
1270	C₃×C₄	—	2	1	no	—
1271	C₃×C₄	—	2	1	no	—
1272	C₃×C₄	—	2	1	no	—
1273	Dic₃	—	6	1	no	—
1274	Dic₃	—	6	1	no	—
1275	Dic₃	—	6	1	no	—
1276	Dic₃	—	6	1	no	—
1277	Dic₃	—	6	1	no	—
1278	Dic₃	—	6	1	no	—
1279	Dic₃	—	6	1	no	—
1280	Dic₃	—	6	1	no	—
1281	Dic₃	—	6	1	no	—
1282	Dic₃	—	6	1	no	—
1283	Dic₃	—	6	1	no	—
1284	C₉	#3568	1	1	yes	characteristic, complemented, Sylow
1285	C₂³	—	9	1	no	—
1286	C₂³	—	9	1	no	—
1287	C₂³	—	9	1	no	—
1288	C₂³	—	9	1	no	—
1289	C₂³	—	9	1	no	—
1290	C₂³	—	36	1	no	—
1291	C₂³	—	36	1	no	—
1292	C₂³	—	36	1	no	—
1293	C₂³	—	36	1	no	—
1294	C₂³	—	36	1	no	—
1295	C₂³	—	36	1	no	—
1296	C₂³	C₂³×D₉	1	1	yes	characteristic
1297	C₂³	C₂³×D₉	1	1	yes	characteristic
1298	Q₈	—	4	1	no	—
1299	Q₈	—	4	1	no	—
1300	Q₈	—	4	1	no	—
1301	Q₈	—	36	1	no	—
1302	Q₈	—	36	1	no	—
1303	Q₈	—	36	1	no	—
1304	Q₈	—	36	1	no	—
1305	Q₈	—	36	1	no	—
1306	Q₈	—	36	1	no	—
1307	D₄	—	4	1	no	—
1308	D₄	—	36	1	no	—
1309	D₄	—	36	1	no	—
1310	D₄	—	36	1	no	—
1311	D₄	—	36	1	no	—
1312	D₄	—	36	1	no	—
1313	D₄	—	36	1	no	—
1314	D₄	—	36	1	no	—
1315	D₄	—	36	1	no	—
1316	D₄	—	36	1	no	—
1317	D₄	—	36	1	no	—
1318	D₄	—	36	1	no	—
1319	D₄	—	36	1	no	—
1320	D₄	—	36	1	no	—
1321	D₄	—	36	1	no	—
1322	C₂×C₄	—	4	1	no	—
1323	C₂×C₄	—	4	1	no	—
1324	C₂×C₄	—	9	1	no	—
1325	C₂×C₄	—	9	1	no	—
1326	C₂×C₄	—	9	1	no	—
1327	C₂×C₄	—	9	1	no	—
1328	C₂×C₄	—	9	1	no	—
1329	C₂×C₄	—	9	1	no	—
1330	C₂×C₄	—	9	1	no	—
1331	C₂×C₄	—	9	1	no	—
1332	C₂×C₄	—	9	1	no	—
1333	C₂×C₄	—	9	1	no	—
1334	C₂×C₄	—	9	1	no	—
1335	C₂×C₄	—	36	1	no	—
1336	C₂×C₄	—	36	1	no	—
1337	C₂×C₄	—	36	1	no	—
1338	C₂×C₄	—	36	1	no	—
1339	C₂×C₄	—	36	1	no	—
1340	C₂×C₄	—	36	1	no	—
1341	C₂×C₄	—	36	1	no	—
1342	C₂×C₄	—	36	1	no	—
1343	C₂×C₄	—	36	1	no	—
1344	C₂×C₄	—	36	1	no	—
1345	C₂×C₄	—	36	1	no	—
1346	C₂×C₄	—	36	1	no	—
1347	C₂×C₄	—	36	1	no	—
1348	C₂×C₄	C₂³×D₉	1	1	yes	characteristic
1349	C₂×C₄	C₂³×D₉	1	1	yes	characteristic
1350	C₂×C₄	C₂³×D₉	1	1	yes	characteristic
1351	C₂×C₄	C₂³×D₉	1	1	yes	characteristic
1352	C₂×C₄	C₂³×D₉	1	1	yes	characteristic
1353	C₂×C₄	C₂³×D₉	1	1	yes	characteristic
1354	C₂×C₄	C₂³×D₉	1	1	yes	characteristic
1355	C₂×C₄	C₂³×D₉	1	1	yes	characteristic
1356	C₂×C₄	C₂³×D₉	1	1	yes	characteristic
1357	C₂×C₄	C₂³×D₉	1	1	yes	characteristic
1358	C₂×C₄	C₂³×D₉	1	1	yes	characteristic
1359	C₂×C₄	C₂³×D₉	1	1	yes	characteristic
1360	C₂×C₄	C₂³×D₉	1	1	yes	characteristic
1361	C₂×C₃	—	4	1	no	—
1362	C₂×C₃	—	4	1	no	—
1363	C₂×C₃	#5964	1	1	yes	characteristic
1364	C₂×C₃	#5964	1	1	yes	characteristic
1365	C₂×C₃	#5968	1	1	yes	characteristic
1366	D₃	—	12	1	no	—
1367	D₃	—	12	1	no	—
1368	D₃	—	12	1	no	—
1369	D₃	—	12	1	no	—
1370	D₃	—	12	1	no	—
1371	C₂²	—	2	1	no	—
1372	C₂²	—	2	1	no	—
1373	C₂²	—	2	1	no	—
1374	C₂²	—	2	1	no	—
1375	C₂²	—	2	1	no	—
1376	C₂²	—	2	1	no	—
1377	C₂²	—	18	1	no	—
1378	C₂²	—	18	1	no	—
1379	C₂²	—	18	1	no	—
1380	C₂²	—	18	1	no	—
1381	C₂²	—	18	1	no	—
1382	C₂²	—	18	1	no	—
1383	C₂²	—	18	1	no	—
1384	C₂²	—	18	1	no	—
1385	C₂²	—	18	1	no	—
1386	C₂²	—	18	1	no	—
1387	C₂²	—	18	1	no	—
1388	C₂²	—	18	1	no	—
1389	C₂²	—	18	1	no	—
1390	C₂²	—	18	1	no	—
1391	C₂²	—	18	1	no	—
1392	C₂²	—	72	2	no	—
1393	C₂²	—	72	2	no	—
1394	C₂²	C₂⁴×D₉	1	1	yes	characteristic
1395	C₄	—	2	1	no	—
1396	C₄	—	2	1	no	—
1397	C₄	—	2	1	no	—
1398	C₄	—	2	1	no	—
1399	C₄	—	2	1	no	—
1400	C₄	—	2	1	no	—
1401	C₄	—	2	1	no	—
1402	C₄	—	2	1	no	—
1403	C₄	—	2	1	no	—
1404	C₄	—	2	1	no	—
1405	C₄	—	2	1	no	—
1406	C₄	—	2	1	no	—
1407	C₄	—	2	1	no	—
1408	C₄	—	18	1	no	—
1409	C₄	—	18	1	no	—
1410	C₄	—	18	1	no	—
1411	C₄	—	18	1	no	—
1412	C₄	—	18	1	no	—
1413	C₄	—	18	1	no	—
1414	C₄	—	18	1	no	—
1415	C₄	—	18	1	no	—
1416	C₄	—	18	1	no	—
1417	C₄	—	18	1	no	—
1418	C₄	—	18	1	no	—
1419	C₃	#87002	1	1	yes	characteristic
1420	C₂	—	4	1	no	—
1421	C₂	—	4	1	no	—
1422	C₂	—	36	1	no	—
1423	C₂	—	36	1	no	—
1424	C₂	—	36	1	no	—
1425	C₂	—	36	1	no	—
1426	C₂	—	36	1	no	—
1427	C₂	#10593139	1	1	yes	characteristic
1428	C₂	#10593139	1	1	yes	characteristic
1429	C₂	#10593143	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂⁴×D₉
commutator, cosocle	C₂²×C₉	C₂⁵
Frattini, socle	C₂²×C₃	C₂⁴×D₃
Fitting	C₉×#556	C₂
hypercenter	#556	D₉
hypocenter	C₉	#3568
LCS	G ▷ C₂²×C₉ ▷ C₉
UCS	C₁ ◁ C₂² ◁ #556

Complements

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

N	H ≅ G/N	type
1. C₉×#556	C₂	semidirect
2. #10589837	C₂	semidirect
3. #10589835	C₂	semidirect
4. #10589814	C₂	semidirect
5. #10589808	C₂	semidirect
6. #10589807	C₂	semidirect
7. #10589806	C₂	semidirect
8. #10589806	C₂	semidirect
9. #10589806	C₂	semidirect
10. #10589804	C₂	semidirect
11. #10589804	C₂	semidirect
12. #10589785	C₂	semidirect
13. #10589781	C₂	semidirect
14. #10589780	C₂	semidirect
15. #10589771	C₂	semidirect
16. #10589748	C₂	semidirect
17. #10589746	C₂	semidirect
18. #10589742	C₂	semidirect
19. #10589739	C₂	semidirect
20. #10589686	C₂	semidirect
21. #10589684	C₂	semidirect
22. #10589684	C₂	semidirect
23. #10589682	C₂	semidirect
24. #10589670	C₂	semidirect
25. #10589670	C₂	semidirect
26. #10589662	C₂	semidirect
27. #10589658	C₂	semidirect
28. #10589636	C₂	semidirect
29. #10589630	C₂	semidirect
30. #10589629	C₂	semidirect
31. #10589629	C₂	semidirect
33. C₉×C₄⋊Q₈	C₂²	semidirect
34. C₉×#126	C₂²	semidirect
35. C₉×#126	C₂²	semidirect
36. C₉×#126	C₂²	semidirect
37. C₉×#126	C₂²	semidirect
40. C₉×C₂²⋊Q₈	C₂²	semidirect
41. C₉×C₂²⋊Q₈	C₂²	semidirect
42. C₄×Q₈×C₉	C₂²	semidirect
43. C₄×Q₈×C₉	C₂²	semidirect
44. C₄×Q₈×C₉	C₂²	semidirect
46. C₉×#117	C₂²	semidirect
47. C₉×#117	C₂²	semidirect
51. #63509	C₂²	semidirect
52. #63509	C₂²	semidirect
53. #63508	C₂²	semidirect
54. #63508	C₂²	semidirect
55. #63508	C₂²	semidirect
56. #63508	C₂²	semidirect
57. #63508	C₂²	semidirect
58. #63506	C₂²	semidirect
59. #63506	C₂²	semidirect
68. C₄×#611	C₂²	semidirect
69. C₂×(C₂×D₉)⋊C₄	C₂²	semidirect
70. C₂×(C₂×D₉)⋊C₄	C₂²	semidirect
71. #63486	C₂²	semidirect
72. #63460	C₂²	semidirect
73. #63460	C₂²	semidirect
74. #63460	C₂²	semidirect
75. #63460	C₂²	semidirect
76. #63460	C₂²	semidirect
77. #63460	C₂²	semidirect
78. #63460	C₂²	semidirect
79. #63460	C₂²	semidirect
80. #63460	C₂²	semidirect
81. #63460	C₂²	semidirect
82. #63460	C₂²	semidirect
83. #63460	C₂²	semidirect
84. #63459	C₂²	semidirect
85. #63458	C₂²	semidirect
86. #63458	C₂²	semidirect
87. #63458	C₂²	semidirect
88. #63458	C₂²	semidirect
89. #63458	C₂²	semidirect
90. #63458	C₂²	semidirect
91. #63458	C₂²	semidirect
92. #63458	C₂²	semidirect
93. #63458	C₂²	semidirect
103. #63456	C₂²	semidirect
104. #63456	C₂²	semidirect
105. #63456	C₂²	semidirect
106. #63456	C₂²	semidirect
109. #63455	C₂²	semidirect
110. #63454	C₂²	semidirect
111. #63454	C₂²	semidirect
112. #63452	C₂²	semidirect
113. #63451	C₂²	semidirect
114. #63451	C₂²	semidirect
115. #63450	C₂²	semidirect
116. #63450	C₂²	semidirect
117. #63449	C₂²	semidirect
118. #63449	C₂²	semidirect
119. #63449	C₂²	semidirect
127. #63447	C₂²	semidirect
128. #63447	C₂²	semidirect
135. #63445	C₂²	semidirect
136. #63445	C₂²	semidirect
141. #63444	C₂²	semidirect
142. #63444	C₂²	semidirect
146. #611⋊C₄	C₂²	semidirect
147. C₂²⋊C₄×D₉	C₂²	semidirect
148. C₂²⋊C₄×D₉	C₂²	semidirect
149. C₂²⋊C₄×D₉	C₂²	semidirect
150. C₂²⋊C₄×D₉	C₂²	semidirect
151. #63441	C₂²	semidirect
152. #63441	C₂²	semidirect
153. #63441	C₂²	semidirect
154. #63441	C₂²	semidirect
155. #63440	C₂²	semidirect
156. #63440	C₂²	semidirect
157. #63440	C₂²	semidirect
158. #63439	C₂²	semidirect
159. #63439	C₂²	semidirect
160. #63438	C₂²	semidirect
161. #63438	C₂²	semidirect
162. #63438	C₂²	semidirect
163. #63438	C₂²	semidirect
164. #63438	C₂²	semidirect
165. #63438	C₂²	semidirect
170. #63437	C₂²	semidirect
171. #63437	C₂²	semidirect
174. C₄×D₃₆	C₂²	semidirect
175. C₄×D₃₆	C₂²	semidirect
176. C₄×D₃₆	C₂²	semidirect
177. #63434	C₂²	semidirect
178. #63434	C₂²	semidirect
179. #63434	C₂²	semidirect
180. #63434	C₂²	semidirect
181. #63434	C₂²	semidirect
182. #63434	C₂²	semidirect
183. C₄²×D₉	C₂²	semidirect
184. #63431	C₂²	semidirect
185. C₄×Dic₁₈	C₂²	semidirect
186. C₄×Dic₁₈	C₂²	semidirect
187. C₄×Dic₁₈	C₂²	semidirect
615. #556	D₉	semidirect
845. C₄⋊Q₈	C₂×D₉	semidirect
868. #126	C₂×D₉	semidirect
869. #126	C₂×D₉	semidirect
870. #126	C₂×D₉	semidirect
871. #126	C₂×D₉	semidirect
933. C₂²⋊Q₈	C₂×D₉	semidirect
934. C₂²⋊Q₈	C₂×D₉	semidirect
958. C₄×Q₈	C₂×D₉	semidirect
959. C₄×Q₈	C₂×D₉	semidirect
960. C₄×Q₈	C₂×D₉	semidirect
986. #117	C₂×D₉	semidirect
987. #117	C₂×D₉	semidirect
1284. C₉	#3568	semidirect

Maximal subgroups

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

subgroup	index
C₉×#556	2
#10589837	2
#10589835	2
#10589814	2
#10589808	2
#10589807	2
#10589806	2
#10589804	2
#10589785	2
#10589781	2
#10589780	2
#10589771	2
#10589748	2
#10589746	2
#10589742	2
#10589739	2
#10589686	2
#10589684	2
#10589682	2
#10589670	2
#10589662	2
#10589658	2
#10589636	2
#10589630	2
#10589629	2
#87002	3