Subgroups — #11910619

Order 1152.

1590 conjugacy classes of subgroups.

The subgroup lattice has 1524 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₉×#542	C₂	1	1	yes	maximal, characteristic, complemented
2	#10589837	C₂	1	1	yes	maximal, characteristic, complemented
3	#10589828	C₂	1	1	yes	maximal, characteristic, complemented
4	#10589813	C₂	1	1	yes	maximal, characteristic, complemented
5	#10589810	C₂	1	1	yes	maximal, characteristic, complemented
6	#10589809	C₂	1	1	yes	maximal, characteristic, complemented
7	#10589806	C₂	1	1	yes	maximal, characteristic, complemented
8	#10589786	C₂	1	1	yes	maximal, characteristic, complemented
9	#10589780	C₂	1	1	yes	maximal, characteristic, complemented
10	#10589780	C₂	1	1	yes	maximal, characteristic, complemented
11	#10589778	C₂	1	1	yes	maximal, characteristic, complemented
12	#10589776	C₂	1	1	yes	maximal, characteristic, complemented
13	#10589771	C₂	1	1	yes	maximal, characteristic, complemented
14	#10589765	C₂	1	1	yes	maximal, characteristic, complemented
15	#10589763	C₂	1	1	yes	maximal, characteristic, complemented
16	#10589756	C₂	1	1	yes	maximal, characteristic, complemented
17	D₉×#123	C₂	1	1	yes	maximal, characteristic, complemented
18	#10589749	C₂	1	1	yes	maximal, characteristic, complemented
19	#10589740	C₂	1	1	yes	maximal, characteristic, complemented
20	#10589739	C₂	1	1	yes	maximal, characteristic, complemented
21	#10589739	C₂	1	1	yes	maximal, characteristic, complemented
22	#10589733	C₂	1	1	yes	maximal, characteristic, complemented
23	#10589729	C₂	1	1	yes	maximal, characteristic, complemented
24	#10589717	C₂	1	1	yes	maximal, characteristic, complemented
25	#10589707	C₂	1	1	yes	maximal, characteristic, complemented
26	#10589687	C₂	1	1	yes	maximal, characteristic, complemented
27	#10589683	C₂	1	1	yes	maximal, characteristic, complemented
28	#10589662	C₂	1	1	yes	maximal, characteristic, complemented
29	#10589649	C₂	1	1	yes	maximal, characteristic, complemented
30	#10589632	C₂	1	1	yes	maximal, characteristic, complemented
31	#10589629	C₂	1	1	yes	maximal, characteristic, complemented
32	#86559	—	3	1	no	maximal
33	C₂×#3701	C₂²	1	1	yes	characteristic
34	C₂×#3701	C₂²	1	1	yes	characteristic, complemented
35	C₂×D₄×D₉	C₂²	1	1	yes	characteristic
36	C₂×D₄×D₉	C₂²	1	1	yes	characteristic
37	C₂×#3697	C₂²	1	1	yes	characteristic
38	C₂²×C₄×D₉	C₂²	1	1	yes	characteristic, complemented
39	C₉×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
40	C₉×#126	C₂²	1	1	yes	characteristic, complemented
41	C₉×#126	C₂²	1	1	yes	characteristic, complemented
42	C₉×#124	C₂²	1	1	yes	characteristic, complemented
43	C₉×#124	C₂²	1	1	yes	characteristic, complemented
44	C₉×#124	C₂²	1	1	yes	characteristic, complemented
45	C₉×#123	C₂²	1	1	yes	characteristic, complemented
46	C₉×#123	C₂²	1	1	yes	characteristic, complemented
47	C₉×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
48	C₉×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
49	C₉×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
50	C₉×#121	C₂²	1	1	yes	characteristic
51	C₄×Q₈×C₉	C₂²	1	1	yes	characteristic, complemented
52	C₄×D₄×C₉	C₂²	1	1	yes	characteristic, complemented
53	C₉×#117	C₂²	1	1	yes	characteristic, complemented
54	#63509	C₂²	1	1	yes	characteristic
55	#63509	C₂²	1	1	yes	characteristic, complemented
56	#63509	C₂²	1	1	yes	characteristic, complemented
57	#63508	C₂²	1	1	yes	characteristic, complemented
58	#63508	C₂²	1	1	yes	characteristic, complemented
59	#63508	C₂²	1	1	yes	characteristic, complemented
60	#63508	C₂²	1	1	yes	characteristic, complemented
61	#63508	C₂²	1	1	yes	characteristic, complemented
62	#63508	C₂²	1	1	yes	characteristic, complemented
63	#63506	C₂²	1	1	yes	characteristic, complemented
64	#63502	C₂²	1	1	yes	characteristic, complemented
65	#63501	C₂²	1	1	yes	characteristic
66	#63501	C₂²	1	1	yes	characteristic
67	#63501	C₂²	1	1	yes	characteristic, complemented
68	#63501	C₂²	1	1	yes	characteristic, complemented
69	#63501	C₂²	1	1	yes	characteristic, complemented
70	#63500	C₂²	1	1	yes	characteristic, complemented
71	#63499	C₂²	1	1	yes	characteristic
72	#63499	C₂²	1	1	yes	characteristic
73	#63497	C₂²	1	1	yes	characteristic, complemented
74	#63492	C₂²	1	1	yes	characteristic
75	#63492	C₂²	1	1	yes	characteristic, complemented
76	#63491	C₂²	1	1	yes	characteristic
77	#63491	C₂²	1	1	yes	characteristic, complemented
78	C₄×#611	C₂²	1	1	yes	characteristic, complemented
79	C₄×#611	C₂²	1	1	yes	characteristic, complemented
80	C₄×#611	C₂²	1	1	yes	characteristic, complemented
81	C₄×#611	C₂²	1	1	yes	characteristic, complemented
82	C₂×(C₂×D₉)⋊C₄	C₂²	1	1	yes	characteristic
83	C₂×(C₂×D₉)⋊C₄	C₂²	1	1	yes	characteristic, complemented
84	#63460	C₂²	1	1	yes	characteristic, complemented
85	#63460	C₂²	1	1	yes	characteristic, complemented
86	#63460	C₂²	1	1	yes	characteristic, complemented
87	#63460	C₂²	1	1	yes	characteristic, complemented
88	#63459	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	#63457	C₂²	1	1	yes	characteristic
93	#63457	C₂²	1	1	yes	characteristic, complemented
94	#63457	C₂²	1	1	yes	characteristic, complemented
95	#63457	C₂²	1	1	yes	characteristic, complemented
96	#63456	C₂²	1	1	yes	characteristic
97	#63456	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, complemented
102	#63456	C₂²	1	1	yes	characteristic, complemented
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	#63456	C₂²	1	1	yes	characteristic, complemented
108	#63456	C₂²	1	1	yes	characteristic, complemented
109	#63455	C₂²	1	1	yes	characteristic, complemented
110	#63455	C₂²	1	1	yes	characteristic, complemented
111	#63455	C₂²	1	1	yes	characteristic, complemented
112	#63455	C₂²	1	1	yes	characteristic, complemented
113	#63454	C₂²	1	1	yes	characteristic, complemented
114	#63454	C₂²	1	1	yes	characteristic, complemented
115	C₄⋊C₄×D₉	C₂²	1	1	yes	characteristic, complemented
116	C₄⋊C₄×D₉	C₂²	1	1	yes	characteristic, complemented
117	C₄⋊C₄×D₉	C₂²	1	1	yes	characteristic, complemented
118	C₄⋊C₄×D₉	C₂²	1	1	yes	characteristic, complemented
119	#63452	C₂²	1	1	yes	characteristic, complemented
120	#63451	C₂²	1	1	yes	characteristic, complemented
121	#63451	C₂²	1	1	yes	characteristic, complemented
122	#63451	C₂²	1	1	yes	characteristic, complemented
123	#63451	C₂²	1	1	yes	characteristic, complemented
124	#63448	C₂²	1	1	yes	characteristic
125	#63448	C₂²	1	1	yes	characteristic, complemented
126	#63448	C₂²	1	1	yes	characteristic, complemented
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	#63446	C₂²	1	1	yes	characteristic, complemented
133	#63446	C₂²	1	1	yes	characteristic, complemented
134	#63446	C₂²	1	1	yes	characteristic, complemented
135	#63446	C₂²	1	1	yes	characteristic, complemented
136	#63446	C₂²	1	1	yes	characteristic, complemented
137	#63446	C₂²	1	1	yes	characteristic, complemented
138	#63446	C₂²	1	1	yes	characteristic, complemented
139	#63446	C₂²	1	1	yes	characteristic, complemented
140	#63445	C₂²	1	1	yes	characteristic
141	#63445	C₂²	1	1	yes	characteristic
142	#63445	C₂²	1	1	yes	characteristic
143	#63445	C₂²	1	1	yes	characteristic, complemented
144	#63445	C₂²	1	1	yes	characteristic, complemented
145	#63445	C₂²	1	1	yes	characteristic, complemented
146	#63445	C₂²	1	1	yes	characteristic, complemented
147	#63445	C₂²	1	1	yes	characteristic, complemented
148	#63445	C₂²	1	1	yes	characteristic, complemented
149	#63444	C₂²	1	1	yes	characteristic
150	#63444	C₂²	1	1	yes	characteristic
151	#63444	C₂²	1	1	yes	characteristic
152	#63444	C₂²	1	1	yes	characteristic
153	#63444	C₂²	1	1	yes	characteristic, complemented
154	#63444	C₂²	1	1	yes	characteristic, complemented
155	#63444	C₂²	1	1	yes	characteristic, complemented
156	#63444	C₂²	1	1	yes	characteristic, complemented
157	#611⋊C₄	C₂²	1	1	yes	characteristic
158	#611⋊C₄	C₂²	1	1	yes	characteristic, complemented
159	#611⋊C₄	C₂²	1	1	yes	characteristic, complemented
160	#611⋊C₄	C₂²	1	1	yes	characteristic, complemented
161	C₂²⋊C₄×D₉	C₂²	1	1	yes	characteristic
162	C₂²⋊C₄×D₉	C₂²	1	1	yes	characteristic
163	C₂²⋊C₄×D₉	C₂²	1	1	yes	characteristic, complemented
164	C₂²⋊C₄×D₉	C₂²	1	1	yes	characteristic, complemented
165	#63441	C₂²	1	1	yes	characteristic, complemented
166	#63441	C₂²	1	1	yes	characteristic, complemented
167	#63440	C₂²	1	1	yes	characteristic, complemented
168	#63440	C₂²	1	1	yes	characteristic, complemented
169	#63440	C₂²	1	1	yes	characteristic, complemented
170	#63439	C₂²	1	1	yes	characteristic, complemented
171	#63439	C₂²	1	1	yes	characteristic, complemented
172	#63438	C₂²	1	1	yes	characteristic, complemented
173	#63438	C₂²	1	1	yes	characteristic, complemented
174	#63438	C₂²	1	1	yes	characteristic, complemented
175	#63438	C₂²	1	1	yes	characteristic, complemented
176	#63437	C₂²	1	1	yes	characteristic, complemented
177	#63437	C₂²	1	1	yes	characteristic, complemented
178	#63436	C₂²	1	1	yes	characteristic
179	C₄×D₃₆	C₂²	1	1	yes	characteristic
180	C₄×D₃₆	C₂²	1	1	yes	characteristic, complemented
181	C₄×D₃₆	C₂²	1	1	yes	characteristic, complemented
182	C₄×D₃₆	C₂²	1	1	yes	characteristic, complemented
183	C₄×D₃₆	C₂²	1	1	yes	characteristic, complemented
184	#63434	C₂²	1	1	yes	characteristic, complemented
185	#63434	C₂²	1	1	yes	characteristic, complemented
186	#63432	C₂²	1	1	yes	characteristic, complemented
187	C₄×Dic₁₈	C₂²	1	1	yes	characteristic, complemented
188	C₃×#542	D₃	1	1	yes	characteristic
189	#5735	—	3	1	no	—
190	#5726	—	3	1	no	—
191	#5711	—	3	1	no	—
192	#5708	—	3	1	no	—
193	#5707	—	3	1	no	—
194	#5704	—	3	1	no	—
195	#5684	—	3	1	no	—
196	#5678	—	3	1	no	—
197	#5678	—	3	1	no	—
198	#5676	—	3	1	no	—
199	#5674	—	3	1	no	—
200	#5669	—	3	1	no	—
201	#5663	—	3	1	no	—
202	#5661	—	3	1	no	—
203	#5654	—	3	1	no	—
204	D₃×#123	—	3	1	no	—
205	#5647	—	3	1	no	—
206	#5638	—	3	1	no	—
207	#5637	—	3	1	no	—
208	#5637	—	3	1	no	—
209	#5631	—	3	1	no	—
210	#5627	—	3	1	no	—
211	#5615	—	3	1	no	—
212	#5605	—	3	1	no	—
213	#5585	—	3	1	no	—
214	#5581	—	3	1	no	—
215	#5560	—	3	1	no	—
216	#5547	—	3	1	no	—
217	#5530	—	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	C₂³×D₉	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×Q₈×C₉	C₂³	1	1	yes	characteristic
225	C₂×D₄×C₉	C₂³	1	1	yes	characteristic
226	C₂×D₄×C₉	C₂³	1	1	yes	characteristic
227	C₂×D₄×C₉	C₂³	1	1	yes	characteristic
228	C₂²×C₄×C₉	C₂³	1	1	yes	characteristic
229	C₂²×C₄×C₉	C₂³	1	1	yes	characteristic
230	C₂²×C₄×C₉	C₂³	1	1	yes	characteristic
231	C₂×#611	C₂³	1	1	yes	characteristic
232	C₂×#611	C₂³	1	1	yes	characteristic
233	C₂×#611	C₂³	1	1	yes	characteristic
234	C₂×#611	C₂³	1	1	yes	characteristic
235	C₂×#611	C₂³	1	1	yes	characteristic
236	C₂×#611	C₂³	1	1	yes	characteristic
237	C₂×#611	C₂³	1	1	yes	characteristic
238	C₂×#611	C₂³	1	1	yes	characteristic
239	C₂×#611	C₂³	1	1	yes	characteristic
240	C₂×#611	C₂³	1	1	yes	characteristic
241	C₂×#611	C₂³	1	1	yes	characteristic
242	C₂×#611	C₂³	1	1	yes	characteristic
243	C₂²×Dic₉	C₂³	1	1	yes	characteristic
244	C₂²×Dic₉	C₂³	1	1	yes	characteristic
245	C₂²×Dic₉	C₂³	1	1	yes	characteristic
246	#3701	—	4	2	no	—
247	#3701	—	4	2	no	—
248	D₄×D₉	—	4	2	no	—
249	D₄×D₉	—	4	2	no	—
250	#3697	—	4	2	no	—
251	C₂×D₃₆	C₂³	1	1	yes	characteristic
252	C₂×D₃₆	C₂³	1	1	yes	characteristic
253	C₂×D₃₆	C₂³	1	1	yes	characteristic
254	C₂×D₃₆	C₂³	1	1	yes	characteristic
255	C₂×D₃₆	C₂³	1	1	yes	characteristic
256	C₂×D₃₆	C₂³	1	1	yes	characteristic
257	C₂×D₃₆	C₂³	1	1	yes	characteristic
258	C₂×D₃₆	C₂³	1	1	yes	characteristic
259	C₂×D₃₆	C₂³	1	1	yes	characteristic
260	C₂×D₃₆	C₂³	1	1	yes	characteristic
261	C₂×D₃₆	C₂³	1	1	yes	characteristic
262	C₂×D₃₆	C₂³	1	1	yes	characteristic
263	C₂×C₄×D₉	—	4	2	no	—
264	C₂×C₄×D₉	C₂³	1	1	yes	characteristic
265	C₂×C₄×D₉	C₂³	1	1	yes	characteristic
266	C₂×C₄×D₉	C₂³	1	1	yes	characteristic
267	C₂×C₄×D₉	C₂³	1	1	yes	characteristic
268	C₂×C₄×D₉	C₂³	1	1	yes	characteristic
269	C₂×C₄×D₉	C₂³	1	1	yes	characteristic
270	C₂×C₄×D₉	C₂³	1	1	yes	characteristic
271	C₂×C₄×D₉	C₂³	1	1	yes	characteristic
272	C₂×C₄×D₉	C₂³	1	1	yes	characteristic
273	C₂×C₄×D₉	C₂³	1	1	yes	characteristic
274	C₂×C₄×D₉	C₂³	1	1	yes	characteristic
275	C₂×C₄×D₉	C₂³	1	1	yes	characteristic
276	C₂×C₄×D₉	C₂³	1	1	yes	characteristic
277	C₂×C₄×D₉	C₂³	1	1	yes	characteristic
278	C₂×C₄×D₉	C₂³	1	1	yes	characteristic
279	C₂×C₄×D₉	C₂³	1	1	yes	characteristic
280	C₂×Dic₁₈	C₂³	1	1	yes	characteristic
281	C₂×Dic₁₈	C₂³	1	1	yes	characteristic
282	C₉×C₄⋊C₄	C₂³	1	1	yes	characteristic
283	C₉×C₄⋊C₄	C₂³	1	1	yes	characteristic
284	C₉×C₄⋊C₄	C₂³	1	1	yes	characteristic
285	C₉×C₄⋊C₄	C₂³	1	1	yes	characteristic
286	C₉×C₄⋊C₄	C₂³	1	1	yes	characteristic
287	C₉×C₄⋊C₄	C₂³	1	1	yes	characteristic
288	C₉×C₄⋊C₄	C₂³	1	1	yes	characteristic
289	C₉×C₄⋊C₄	C₂³	1	1	yes	characteristic
290	C₉×C₄⋊C₄	C₂³	1	1	yes	characteristic
291	C₉×C₄⋊C₄	C₂³	1	1	yes	characteristic
292	C₉×C₂²⋊C₄	C₂³	1	1	yes	characteristic
293	C₉×C₂²⋊C₄	C₂³	1	1	yes	characteristic
294	C₉×C₂²⋊C₄	C₂³	1	1	yes	characteristic
295	C₉×C₂²⋊C₄	C₂³	1	1	yes	characteristic
296	C₉×C₂²⋊C₄	C₂³	1	1	yes	characteristic
297	C₉×C₂²⋊C₄	C₂³	1	1	yes	characteristic
298	C₉×C₂²⋊C₄	C₂³	1	1	yes	characteristic
299	C₉×C₂²⋊C₄	C₂³	1	1	yes	characteristic
300	C₉×C₂²⋊C₄	C₂³	1	1	yes	characteristic
301	C₉×C₂²⋊C₄	C₂³	1	1	yes	characteristic
302	C₉×C₂²⋊C₄	C₂³	1	1	yes	characteristic
303	C₉×C₂²⋊C₄	C₂³	1	1	yes	characteristic
304	C₄²×C₉	C₂³	1	1	yes	characteristic
305	C₄²×C₉	C₂³	1	1	yes	characteristic
306	C₄²×C₉	C₂³	1	1	yes	characteristic
307	C₄²×C₉	C₂³	1	1	yes	characteristic
308	#3676	C₂³	1	1	yes	characteristic
309	#3676	C₂³	1	1	yes	characteristic
310	#3676	C₂³	1	1	yes	characteristic
311	#3676	C₂³	1	1	yes	characteristic
312	#3676	C₂³	1	1	yes	characteristic
313	#3676	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	(C₂×D₉)⋊C₄	C₂³	1	1	yes	characteristic
334	(C₂×D₉)⋊C₄	C₂³	1	1	yes	characteristic
335	(C₂×D₉)⋊C₄	C₂³	1	1	yes	characteristic
336	(C₂×D₉)⋊C₄	C₂³	1	1	yes	characteristic
337	(C₂×D₉)⋊C₄	C₂³	1	1	yes	characteristic
338	(C₂×D₉)⋊C₄	C₂³	1	1	yes	characteristic
339	(C₂×D₉)⋊C₄	C₂³	1	1	yes	characteristic
340	(C₂×D₉)⋊C₄	C₂³	1	1	yes	characteristic
341	(C₂×D₉)⋊C₄	C₂³	1	1	yes	characteristic
342	(C₂×D₉)⋊C₄	C₂³	1	1	yes	characteristic
343	(C₂×D₉)⋊C₄	C₂³	1	1	yes	characteristic
344	(C₂×D₉)⋊C₄	C₂³	1	1	yes	characteristic
345	(C₂×D₉)⋊C₄	C₂³	1	1	yes	characteristic
346	C₄⋊Dic₉	C₂³	1	1	yes	characteristic
347	C₄⋊Dic₉	C₂³	1	1	yes	characteristic
348	C₄⋊Dic₉	C₂³	1	1	yes	characteristic
349	C₄⋊Dic₉	C₂³	1	1	yes	characteristic
350	C₄⋊Dic₉	C₂³	1	1	yes	characteristic
351	C₄⋊Dic₉	C₂³	1	1	yes	characteristic
352	C₄⋊Dic₉	C₂³	1	1	yes	characteristic
353	C₄⋊Dic₉	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	Dic₉⋊C₄	C₂³	1	1	yes	characteristic
364	Dic₉⋊C₄	C₂³	1	1	yes	characteristic
365	Dic₉⋊C₄	C₂³	1	1	yes	characteristic
366	Dic₉⋊C₄	C₂³	1	1	yes	characteristic
367	Dic₉⋊C₄	C₂³	1	1	yes	characteristic
368	Dic₉⋊C₄	C₂³	1	1	yes	characteristic
369	Dic₉⋊C₄	C₂³	1	1	yes	characteristic
370	Dic₉⋊C₄	C₂³	1	1	yes	characteristic
371	Dic₉⋊C₄	C₂³	1	1	yes	characteristic
372	Dic₉⋊C₄	C₂³	1	1	yes	characteristic
373	Dic₉⋊C₄	C₂³	1	1	yes	characteristic
374	C₄×Dic₉	C₂³	1	1	yes	characteristic
375	C₄×Dic₉	C₂³	1	1	yes	characteristic
376	C₄×Dic₉	C₂³	1	1	yes	characteristic
377	C₄×Dic₉	C₂³	1	1	yes	characteristic
378	C₄×Dic₉	C₂³	1	1	yes	characteristic
379	C₄×Dic₉	C₂³	1	1	yes	characteristic
380	#3533	—	9	1	no	Sylow
381	C₂×#239	—	3	1	no	—
382	C₂×#239	—	3	1	no	—
383	C₂×D₃×D₄	—	3	1	no	—
384	C₂×D₃×D₄	—	3	1	no	—
385	C₂×#235	—	3	1	no	—
386	C₂²×C₄×D₃	—	3	1	no	—
387	C₃×C₄⋊Q₈	C₂×D₃	1	1	yes	characteristic
388	C₃×#126	C₂×D₃	1	1	yes	characteristic
389	C₃×#126	C₂×D₃	1	1	yes	characteristic
390	C₃×#124	C₂×D₃	1	1	yes	characteristic
391	C₃×#124	C₂×D₃	1	1	yes	characteristic
392	C₃×#124	C₂×D₃	1	1	yes	characteristic
393	C₃×#123	C₂×D₃	1	1	yes	characteristic
394	C₃×#123	C₂×D₃	1	1	yes	characteristic
395	C₃×C₂²⋊Q₈	C₂×D₃	1	1	yes	characteristic
396	C₃×C₂²⋊Q₈	C₂×D₃	1	1	yes	characteristic
397	C₃×C₂²⋊Q₈	C₂×D₃	1	1	yes	characteristic
398	C₃×#121	C₂×D₃	1	1	yes	characteristic
399	C₃×C₄×Q₈	C₂×D₃	1	1	yes	characteristic
400	C₃×C₄×D₄	C₂×D₃	1	1	yes	characteristic
401	C₃×#117	C₂×D₃	1	1	yes	characteristic
402	#947	—	3	1	no	—
403	#947	—	3	1	no	—
404	#947	—	3	1	no	—
405	#946	—	3	1	no	—
406	#946	—	3	1	no	—
407	#946	—	3	1	no	—
408	#946	—	3	1	no	—
409	#946	—	3	1	no	—
410	#946	—	3	1	no	—
411	#944	—	3	1	no	—
412	#940	—	3	1	no	—
413	#939	—	3	1	no	—
414	#939	—	3	1	no	—
415	#939	—	3	1	no	—
416	#939	—	3	1	no	—
417	#939	—	3	1	no	—
418	#938	—	3	1	no	—
419	#937	—	3	1	no	—
420	#937	—	3	1	no	—
421	#935	—	3	1	no	—
422	#930	—	3	1	no	—
423	#930	—	3	1	no	—
424	#929	—	3	1	no	—
425	#929	—	3	1	no	—
426	C₄×#67	—	3	1	no	—
427	C₄×#67	—	3	1	no	—
428	C₄×#67	—	3	1	no	—
429	C₄×#67	—	3	1	no	—
430	C₂×(C₂×D₃)⋊C₄	—	3	1	no	—
431	C₂×(C₂×D₃)⋊C₄	—	3	1	no	—
432	#898	—	3	1	no	—
433	#898	—	3	1	no	—
434	#898	—	3	1	no	—
435	#898	—	3	1	no	—
436	#897	—	3	1	no	—
437	#896	—	3	1	no	—
438	#896	—	3	1	no	—
439	#896	—	3	1	no	—
440	#895	—	3	1	no	—
441	#895	—	3	1	no	—
442	#895	—	3	1	no	—
443	#895	—	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	#894	—	3	1	no	—
450	#894	—	3	1	no	—
451	#894	—	3	1	no	—
452	#894	—	3	1	no	—
453	#894	—	3	1	no	—
454	#894	—	3	1	no	—
455	#894	—	3	1	no	—
456	#894	—	3	1	no	—
457	#893	—	3	1	no	—
458	#893	—	3	1	no	—
459	#893	—	3	1	no	—
460	#893	—	3	1	no	—
461	#892	—	3	1	no	—
462	#892	—	3	1	no	—
463	D₃×C₄⋊C₄	—	3	1	no	—
464	D₃×C₄⋊C₄	—	3	1	no	—
465	D₃×C₄⋊C₄	—	3	1	no	—
466	D₃×C₄⋊C₄	—	3	1	no	—
467	#890	—	3	1	no	—
468	#889	—	3	1	no	—
469	#889	—	3	1	no	—
470	#889	—	3	1	no	—
471	#889	—	3	1	no	—
472	#886	—	3	1	no	—
473	#886	—	3	1	no	—
474	#886	—	3	1	no	—
475	#885	—	3	1	no	—
476	#885	—	3	1	no	—
477	#884	—	3	1	no	—
478	#884	—	3	1	no	—
479	#884	—	3	1	no	—
480	#884	—	3	1	no	—
481	#884	—	3	1	no	—
482	#884	—	3	1	no	—
483	#884	—	3	1	no	—
484	#884	—	3	1	no	—
485	#884	—	3	1	no	—
486	#884	—	3	1	no	—
487	#884	—	3	1	no	—
488	#883	—	3	1	no	—
489	#883	—	3	1	no	—
490	#883	—	3	1	no	—
491	#883	—	3	1	no	—
492	#883	—	3	1	no	—
493	#883	—	3	1	no	—
494	#883	—	3	1	no	—
495	#883	—	3	1	no	—
496	#883	—	3	1	no	—
497	#882	—	3	1	no	—
498	#882	—	3	1	no	—
499	#882	—	3	1	no	—
500	#882	—	3	1	no	—
501	#882	—	3	1	no	—
502	#882	—	3	1	no	—
503	#882	—	3	1	no	—
504	#882	—	3	1	no	—
505	#67⋊C₄	—	3	1	no	—
506	#67⋊C₄	—	3	1	no	—
507	#67⋊C₄	—	3	1	no	—
508	#67⋊C₄	—	3	1	no	—
509	D₃×C₂²⋊C₄	—	3	1	no	—
510	D₃×C₂²⋊C₄	—	3	1	no	—
511	D₃×C₂²⋊C₄	—	3	1	no	—
512	D₃×C₂²⋊C₄	—	3	1	no	—
513	#879	—	3	1	no	—
514	#879	—	3	1	no	—
515	#878	—	3	1	no	—
516	#878	—	3	1	no	—
517	#878	—	3	1	no	—
518	#877	—	3	1	no	—
519	#877	—	3	1	no	—
520	#876	—	3	1	no	—
521	#876	—	3	1	no	—
522	#876	—	3	1	no	—
523	#876	—	3	1	no	—
524	#875	—	3	1	no	—
525	#875	—	3	1	no	—
526	#874	—	3	1	no	—
527	C₄×D₁₂	—	3	1	no	—
528	C₄×D₁₂	—	3	1	no	—
529	C₄×D₁₂	—	3	1	no	—
530	C₄×D₁₂	—	3	1	no	—
531	C₄×D₁₂	—	3	1	no	—
532	#872	—	3	1	no	—
533	#872	—	3	1	no	—
534	#870	—	3	1	no	—
535	C₄×Dic₆	—	3	1	no	—
536	C₂³×C₉	C₂⁴	1	1	yes	characteristic
537	C₂³×C₉	C₂⁴	1	1	yes	characteristic
538	C₂³×C₉	C₂⁴	1	1	yes	characteristic
539	C₂²×D₉	—	2	2	no	—
540	C₂²×D₉	—	2	2	no	—
541	C₂²×D₉	—	4	1	no	—
542	C₂²×D₉	—	4	1	no	—
543	C₂²×D₉	—	4	1	no	—
544	C₂²×D₉	—	4	1	no	—
545	C₂²×D₉	—	4	1	no	—
546	C₂²×D₉	—	4	1	no	—
547	C₂²×D₉	—	4	1	no	—
548	C₂²×D₉	C₂⁴	1	1	yes	characteristic
549	C₂²×D₉	C₂⁴	1	1	yes	characteristic
550	C₂²×D₉	C₂⁴	1	1	yes	characteristic
551	C₂²×D₉	C₂⁴	1	1	yes	characteristic
552	C₂²×D₉	C₂⁴	1	1	yes	characteristic
553	C₂²×D₉	C₂⁴	1	1	yes	characteristic
554	Q₈×C₉	—	4	1	no	—
555	Q₈×C₉	—	4	1	no	—
556	Q₈×C₉	—	4	1	no	—
557	D₄×C₉	—	4	1	no	—
558	D₄×C₉	—	4	1	no	—
559	D₄×C₉	—	4	1	no	—
560	C₂×C₄×C₉	—	4	1	no	—
561	C₂×C₄×C₉	—	4	1	no	—
562	C₂×C₄×C₉	—	4	1	no	—
563	C₂×C₄×C₉	C₂⁴	1	1	yes	characteristic
564	C₂×C₄×C₉	C₂⁴	1	1	yes	characteristic
565	C₂×C₄×C₉	C₂⁴	1	1	yes	characteristic
566	C₂×C₄×C₉	C₂⁴	1	1	yes	characteristic
567	C₂×C₄×C₉	C₂⁴	1	1	yes	characteristic
568	C₂×C₄×C₉	C₂⁴	1	1	yes	characteristic
569	C₂×C₄×C₉	C₂⁴	1	1	yes	characteristic
570	C₂×C₄×C₉	C₂⁴	1	1	yes	characteristic
571	C₂×C₄×C₉	C₂⁴	1	1	yes	characteristic
572	C₂×C₄×C₉	C₂⁴	1	1	yes	characteristic
573	C₂×C₄×C₉	C₂⁴	1	1	yes	characteristic
574	C₂×C₄×C₉	C₂⁴	1	1	yes	characteristic
575	#611	—	2	2	no	—
576	#611	—	4	1	no	—
577	#611	—	4	1	no	—
578	#611	—	4	1	no	—
579	#611	—	4	1	no	—
580	#611	—	4	1	no	—
581	#611	—	4	1	no	—
582	#611	—	4	1	no	—
583	#611	—	4	1	no	—
584	#611	—	4	1	no	—
585	#611	—	4	1	no	—
586	#611	—	4	1	no	—
587	C₂×Dic₉	—	4	1	no	—
588	C₂×Dic₉	—	4	1	no	—
589	C₂×Dic₉	—	4	1	no	—
590	C₂×Dic₉	C₂⁴	1	1	yes	characteristic
591	C₂×Dic₉	C₂⁴	1	1	yes	characteristic
592	C₂×Dic₉	C₂⁴	1	1	yes	characteristic
593	C₂×Dic₉	C₂⁴	1	1	yes	characteristic
594	C₂×Dic₉	C₂⁴	1	1	yes	characteristic
595	C₂×Dic₉	C₂⁴	1	1	yes	characteristic
596	C₂×Dic₉	C₂⁴	1	1	yes	characteristic
597	C₂×Dic₉	C₂⁴	1	1	yes	characteristic
598	C₂×Dic₉	C₂⁴	1	1	yes	characteristic
599	C₂×Dic₉	C₂⁴	1	1	yes	characteristic
600	D₃₆	—	2	2	no	—
601	D₃₆	—	2	2	no	—
602	D₃₆	—	2	2	no	—
603	D₃₆	—	4	1	no	—
604	D₃₆	—	4	1	no	—
605	D₃₆	—	4	1	no	—
606	D₃₆	—	4	1	no	—
607	D₃₆	—	4	1	no	—
608	D₃₆	—	4	1	no	—
609	D₃₆	—	4	1	no	—
610	D₃₆	—	4	1	no	—
611	D₃₆	—	4	1	no	—
612	C₄×D₉	—	2	2	no	—
613	C₄×D₉	—	2	2	no	—
614	C₄×D₉	—	2	2	no	—
615	C₄×D₉	—	4	1	no	—
616	C₄×D₉	—	4	1	no	—
617	C₄×D₉	—	4	1	no	—
618	C₄×D₉	—	4	1	no	—
619	C₄×D₉	—	4	1	no	—
620	C₄×D₉	—	4	1	no	—
621	C₄×D₉	—	4	1	no	—
622	C₄×D₉	—	4	1	no	—
623	C₄×D₉	—	4	1	no	—
624	C₄×D₉	—	4	1	no	—
625	C₄×D₉	—	4	1	no	—
626	C₄×D₉	—	4	1	no	—
627	C₄×D₉	—	4	1	no	—
628	Dic₁₈	—	4	1	no	—
629	Dic₁₈	—	4	1	no	—
630	#563	—	9	1	no	—
631	#562	—	9	1	no	—
632	#562	—	9	1	no	—
633	#560	—	9	1	no	—
634	#559	—	9	1	no	—
635	#553	—	9	1	no	—
636	#553	—	9	1	no	—
637	#552	—	9	1	no	—
638	#552	—	9	1	no	—
639	#551	—	9	1	no	—
640	#551	—	9	1	no	—
641	#551	—	9	1	no	—
642	#547	—	9	1	no	—
643	#547	—	9	1	no	—
644	#546	—	9	1	no	—
645	#546	—	9	1	no	—
646	#542	—	9	1	no	—
647	#542	D₉	1	1	yes	characteristic, complemented
648	#540	—	9	1	no	—
649	#540	—	9	1	no	—
650	#539	—	9	1	no	—
651	#539	—	9	1	no	—
652	#538	—	9	1	no	—
653	#538	—	9	1	no	—
654	#538	—	9	1	no	—
655	#538	—	9	1	no	—
656	#535	—	9	1	no	—
657	#534	—	9	1	no	—
658	#525	—	9	1	no	—
659	#525	—	9	1	no	—
660	C₂×#123	—	9	1	no	—
661	C₂³×D₃	—	3	1	no	—
662	C₂³×D₃	—	3	1	no	—
663	C₂³×D₃	—	3	1	no	—
664	C₂×C₃×Q₈	C₂²×D₃	1	1	yes	characteristic
665	C₂×C₃×Q₈	C₂²×D₃	1	1	yes	characteristic
666	C₂×C₃×Q₈	C₂²×D₃	1	1	yes	characteristic
667	C₂×C₃×D₄	C₂²×D₃	1	1	yes	characteristic
668	C₂×C₃×D₄	C₂²×D₃	1	1	yes	characteristic
669	C₂×C₃×D₄	C₂²×D₃	1	1	yes	characteristic
670	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
671	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
672	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
673	C₂×#67	—	3	1	no	—
674	C₂×#67	—	3	1	no	—
675	C₂×#67	—	3	1	no	—
676	C₂×#67	—	3	1	no	—
677	C₂×#67	—	3	1	no	—
678	C₂×#67	—	3	1	no	—
679	C₂×#67	—	3	1	no	—
680	C₂×#67	—	3	1	no	—
681	C₂×#67	—	3	1	no	—
682	C₂×#67	—	3	1	no	—
683	C₂×#67	—	3	1	no	—
684	C₂×#67	—	3	1	no	—
685	C₂²×Dic₃	—	3	1	no	—
686	C₂²×Dic₃	—	3	1	no	—
687	C₂²×Dic₃	—	3	1	no	—
688	#239	—	12	2	no	—
689	#239	—	12	2	no	—
690	D₃×D₄	—	12	2	no	—
691	D₃×D₄	—	12	2	no	—
692	#235	—	12	2	no	—
693	C₂×D₁₂	—	3	1	no	—
694	C₂×D₁₂	—	3	1	no	—
695	C₂×D₁₂	—	3	1	no	—
696	C₂×D₁₂	—	3	1	no	—
697	C₂×D₁₂	—	3	1	no	—
698	C₂×D₁₂	—	3	1	no	—
699	C₂×D₁₂	—	3	1	no	—
700	C₂×D₁₂	—	3	1	no	—
701	C₂×D₁₂	—	3	1	no	—
702	C₂×D₁₂	—	3	1	no	—
703	C₂×D₁₂	—	3	1	no	—
704	C₂×D₁₂	—	3	1	no	—
705	C₂×C₄×D₃	—	3	1	no	—
706	C₂×C₄×D₃	—	3	1	no	—
707	C₂×C₄×D₃	—	3	1	no	—
708	C₂×C₄×D₃	—	3	1	no	—
709	C₂×C₄×D₃	—	3	1	no	—
710	C₂×C₄×D₃	—	3	1	no	—
711	C₂×C₄×D₃	—	3	1	no	—
712	C₂×C₄×D₃	—	3	1	no	—
713	C₂×C₄×D₃	—	3	1	no	—
714	C₂×C₄×D₃	—	3	1	no	—
715	C₂×C₄×D₃	—	3	1	no	—
716	C₂×C₄×D₃	—	3	1	no	—
717	C₂×C₄×D₃	—	3	1	no	—
718	C₂×C₄×D₃	—	3	1	no	—
719	C₂×C₄×D₃	—	3	1	no	—
720	C₂×C₄×D₃	—	3	1	no	—
721	C₂×C₄×D₃	—	12	2	no	—
722	C₂×Dic₆	—	3	1	no	—
723	C₂×Dic₆	—	3	1	no	—
724	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
725	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
726	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
727	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
728	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
729	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
730	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
731	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
732	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
733	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
734	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
735	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
736	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
737	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
738	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
739	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
740	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
741	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
742	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
743	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
744	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
745	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
746	C₃×C₄²	C₂²×D₃	1	1	yes	characteristic
747	C₃×C₄²	C₂²×D₃	1	1	yes	characteristic
748	C₃×C₄²	C₂²×D₃	1	1	yes	characteristic
749	C₃×C₄²	C₂²×D₃	1	1	yes	characteristic
750	#217	—	3	1	no	—
751	#217	—	3	1	no	—
752	#217	—	3	1	no	—
753	#217	—	3	1	no	—
754	#217	—	3	1	no	—
755	#217	—	3	1	no	—
756	(C₂×D₃)⋊C₄	—	3	1	no	—
757	(C₂×D₃)⋊C₄	—	3	1	no	—
758	(C₂×D₃)⋊C₄	—	3	1	no	—
759	(C₂×D₃)⋊C₄	—	3	1	no	—
760	(C₂×D₃)⋊C₄	—	3	1	no	—
761	(C₂×D₃)⋊C₄	—	3	1	no	—
762	(C₂×D₃)⋊C₄	—	3	1	no	—
763	(C₂×D₃)⋊C₄	—	3	1	no	—
764	(C₂×D₃)⋊C₄	—	3	1	no	—
765	(C₂×D₃)⋊C₄	—	3	1	no	—
766	(C₂×D₃)⋊C₄	—	3	1	no	—
767	(C₂×D₃)⋊C₄	—	3	1	no	—
768	(C₂×D₃)⋊C₄	—	3	1	no	—
769	(C₂×D₃)⋊C₄	—	3	1	no	—
770	(C₂×D₃)⋊C₄	—	3	1	no	—
771	(C₂×D₃)⋊C₄	—	3	1	no	—
772	(C₂×D₃)⋊C₄	—	3	1	no	—
773	(C₂×D₃)⋊C₄	—	3	1	no	—
774	(C₂×D₃)⋊C₄	—	3	1	no	—
775	(C₂×D₃)⋊C₄	—	3	1	no	—
776	(C₂×D₃)⋊C₄	—	3	1	no	—
777	(C₂×D₃)⋊C₄	—	3	1	no	—
778	(C₂×D₃)⋊C₄	—	3	1	no	—
779	(C₂×D₃)⋊C₄	—	3	1	no	—
780	(C₂×D₃)⋊C₄	—	3	1	no	—
781	(C₂×D₃)⋊C₄	—	3	1	no	—
782	(C₂×D₃)⋊C₄	—	3	1	no	—
783	(C₂×D₃)⋊C₄	—	3	1	no	—
784	(C₂×D₃)⋊C₄	—	3	1	no	—
785	(C₂×D₃)⋊C₄	—	3	1	no	—
786	(C₂×D₃)⋊C₄	—	3	1	no	—
787	(C₂×D₃)⋊C₄	—	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	C₄⋊Dic₃	—	3	1	no	—
793	C₄⋊Dic₃	—	3	1	no	—
794	C₄⋊Dic₃	—	3	1	no	—
795	C₄⋊Dic₃	—	3	1	no	—
796	Dic₃⋊C₄	—	3	1	no	—
797	Dic₃⋊C₄	—	3	1	no	—
798	Dic₃⋊C₄	—	3	1	no	—
799	Dic₃⋊C₄	—	3	1	no	—
800	Dic₃⋊C₄	—	3	1	no	—
801	Dic₃⋊C₄	—	3	1	no	—
802	Dic₃⋊C₄	—	3	1	no	—
803	Dic₃⋊C₄	—	3	1	no	—
804	Dic₃⋊C₄	—	3	1	no	—
805	Dic₃⋊C₄	—	3	1	no	—
806	Dic₃⋊C₄	—	3	1	no	—
807	Dic₃⋊C₄	—	3	1	no	—
808	Dic₃⋊C₄	—	3	1	no	—
809	Dic₃⋊C₄	—	3	1	no	—
810	Dic₃⋊C₄	—	3	1	no	—
811	Dic₃⋊C₄	—	3	1	no	—
812	Dic₃⋊C₄	—	3	1	no	—
813	Dic₃⋊C₄	—	3	1	no	—
814	Dic₃⋊C₄	—	3	1	no	—
815	Dic₃⋊C₄	—	3	1	no	—
816	C₄×Dic₃	—	3	1	no	—
817	C₄×Dic₃	—	3	1	no	—
818	C₄×Dic₃	—	3	1	no	—
819	C₄×Dic₃	—	3	1	no	—
820	C₄×Dic₃	—	3	1	no	—
821	C₄×Dic₃	—	3	1	no	—
822	C₂²×C₉	—	2	1	no	—
823	C₂²×C₉	—	2	1	no	—
824	C₂²×C₉	—	2	1	no	—
825	C₂²×C₉	—	2	1	no	—
826	C₂²×C₉	—	2	1	no	—
827	C₂²×C₉	—	2	1	no	—
828	C₂²×C₉	—	2	1	no	—
829	C₂²×C₉	—	2	1	no	—
830	C₂²×C₉	—	2	1	no	—
831	C₂²×C₉	C₂⁵	1	1	yes	characteristic
832	C₂×D₉	—	2	1	no	—
833	C₂×D₉	—	2	1	no	—
834	C₂×D₉	—	2	1	no	—
835	C₂×D₉	—	2	1	no	—
836	C₂×D₉	—	2	1	no	—
837	C₂×D₉	—	2	1	no	—
838	C₂×D₉	—	2	1	no	—
839	C₂×D₉	—	2	1	no	—
840	C₂×D₉	—	2	1	no	—
841	C₂×D₉	—	2	1	no	—
842	C₂×D₉	—	2	1	no	—
843	C₂×D₉	—	2	1	no	—
844	C₂×D₉	—	2	1	no	—
845	C₂×D₉	—	2	1	no	—
846	C₂×D₉	—	2	1	no	—
847	C₂×D₉	—	2	1	no	—
848	C₂×D₉	—	2	1	no	—
849	C₂×D₉	—	4	4	no	—
850	C₂×D₉	—	8	2	no	—
851	C₂×D₉	—	8	2	no	—
852	C₂×D₉	H(5,𝔽₂)	1	2	yes	—
853	C₄×C₉	—	2	1	no	—
854	C₄×C₉	—	2	1	no	—
855	C₄×C₉	—	2	1	no	—
856	C₄×C₉	—	2	1	no	—
857	C₄×C₉	—	2	1	no	—
858	C₄×C₉	—	2	1	no	—
859	C₄×C₉	—	2	1	no	—
860	C₄×C₉	—	2	1	no	—
861	C₄×C₉	—	2	1	no	—
862	C₄×C₉	—	2	1	no	—
863	C₄×C₉	—	2	1	no	—
864	C₄×C₉	—	2	1	no	—
865	Dic₉	—	2	1	no	—
866	Dic₉	—	2	1	no	—
867	Dic₉	—	2	1	no	—
868	Dic₉	—	2	1	no	—
869	Dic₉	—	2	1	no	—
870	Dic₉	—	2	1	no	—
871	Dic₉	—	2	1	no	—
872	Dic₉	—	2	1	no	—
873	Dic₉	—	2	1	no	—
874	Dic₉	—	2	1	no	—
875	C₂×#41	—	9	1	no	—
876	C₂×#41	—	9	1	no	—
877	C₂×#41	—	9	1	no	—
878	C₂²×D₄	—	9	1	no	—
879	C₂²×D₄	—	9	1	no	—
880	C₂³×C₄	—	9	1	no	—
881	C₄⋊Q₈	—	9	1	no	—
882	C₄⋊Q₈	C₂×D₉	1	1	yes	characteristic, complemented
883	#127	—	9	1	no	—
884	#127	—	9	1	no	—
885	#126	—	9	1	no	—
886	#126	—	9	1	no	—
887	#126	—	9	1	no	—
888	#126	—	9	1	no	—
889	#126	—	9	1	no	—
890	#126	—	9	1	no	—
891	#126	—	9	1	no	—
892	#126	—	9	1	no	—
893	#126	—	9	1	no	—
894	#126	—	9	1	no	—
895	#126	C₂×D₉	1	1	yes	characteristic, complemented
896	#126	C₂×D₉	1	1	yes	characteristic, complemented
897	#125	—	9	1	no	—
898	#125	—	9	1	no	—
899	#125	—	9	1	no	—
900	#125	—	9	1	no	—
901	#125	—	9	1	no	—
902	#125	—	9	1	no	—
903	#124	—	9	1	no	—
904	#124	—	9	1	no	—
905	#124	—	9	1	no	—
906	#124	—	9	1	no	—
907	#124	—	9	1	no	—
908	#124	—	9	1	no	—
909	#124	—	9	1	no	—
910	#124	C₂×D₉	1	1	yes	characteristic, complemented
911	#124	C₂×D₉	1	1	yes	characteristic, complemented
912	#124	C₂×D₉	1	1	yes	characteristic, complemented
913	#123	—	9	1	no	—
914	#123	—	9	1	no	—
915	#123	—	9	1	no	—
916	#123	—	9	1	no	—
917	#123	—	9	1	no	—
918	#123	—	9	1	no	—
919	#123	—	9	1	no	—
920	#123	—	9	1	no	—
921	#123	—	9	1	no	—
922	#123	—	9	1	no	—
923	#123	—	9	1	no	—
924	#123	—	9	1	no	—
925	#123	—	9	1	no	—
926	#123	—	9	1	no	—
927	#123	—	9	1	no	—
928	#123	—	9	1	no	—
929	#123	—	9	1	no	—
930	#123	—	9	1	no	—
931	#123	—	9	1	no	—
932	#123	—	9	1	no	—
933	#123	—	9	1	no	—
934	#123	—	9	1	no	—
935	#123	—	9	1	no	—
936	#123	—	9	1	no	—
937	#123	—	9	1	no	—
938	#123	—	9	1	no	—
939	#123	—	9	1	no	—
940	#123	—	9	1	no	—
941	#123	C₂×D₉	1	1	yes	characteristic, complemented
942	#123	C₂×D₉	1	1	yes	characteristic, complemented
943	C₂²⋊Q₈	—	9	1	no	—
944	C₂²⋊Q₈	—	9	1	no	—
945	C₂²⋊Q₈	—	9	1	no	—
946	C₂²⋊Q₈	—	9	1	no	—
947	C₂²⋊Q₈	—	9	1	no	—
948	C₂²⋊Q₈	—	9	1	no	—
949	C₂²⋊Q₈	—	9	1	no	—
950	C₂²⋊Q₈	—	9	1	no	—
951	C₂²⋊Q₈	—	9	1	no	—
952	C₂²⋊Q₈	—	9	1	no	—
953	C₂²⋊Q₈	—	9	1	no	—
954	C₂²⋊Q₈	—	9	1	no	—
955	C₂²⋊Q₈	—	9	1	no	—
956	C₂²⋊Q₈	C₂×D₉	1	1	yes	characteristic, complemented
957	C₂²⋊Q₈	C₂×D₉	1	1	yes	characteristic, complemented
958	C₂²⋊Q₈	C₂×D₉	1	1	yes	characteristic, complemented
959	#121	—	9	1	no	—
960	#121	—	9	1	no	—
961	#121	—	9	1	no	—
962	#121	—	9	1	no	—
963	#121	—	9	1	no	—
964	#121	—	9	1	no	—
965	#121	—	9	1	no	—
966	#121	—	9	1	no	—
967	#121	—	9	1	no	—
968	#121	—	9	1	no	—
969	#121	—	9	1	no	—
970	#121	—	9	1	no	—
971	#121	—	9	1	no	—
972	#121	—	9	1	no	—
973	#121	—	9	1	no	—
974	#121	—	9	1	no	—
975	#121	—	9	1	no	—
976	#121	—	9	1	no	—
977	#121	—	9	1	no	—
978	#121	—	9	1	no	—
979	#121	—	9	1	no	—
980	#121	—	9	1	no	—
981	#121	—	9	1	no	—
982	#121	C₂×D₉	1	1	yes	characteristic
983	#120	—	9	1	no	—
984	#120	—	9	1	no	—
985	#120	—	9	1	no	—
986	#120	—	9	1	no	—
987	#120	—	9	1	no	—
988	#120	—	9	1	no	—
989	#120	—	9	1	no	—
990	#120	—	9	1	no	—
991	#120	—	9	1	no	—
992	#120	—	9	1	no	—
993	C₄×Q₈	—	9	1	no	—
994	C₄×Q₈	C₂×D₉	1	1	yes	characteristic, complemented
995	C₄×D₄	—	9	1	no	—
996	C₄×D₄	—	9	1	no	—
997	C₄×D₄	—	9	1	no	—
998	C₄×D₄	—	9	1	no	—
999	C₄×D₄	—	9	1	no	—
1000	C₄×D₄	—	9	1	no	—
1001	C₄×D₄	—	9	1	no	—
1002	C₄×D₄	—	9	1	no	—
1003	C₄×D₄	—	9	1	no	—
1004	C₄×D₄	—	9	1	no	—
1005	C₄×D₄	—	9	1	no	—
1006	C₄×D₄	—	9	1	no	—
1007	C₄×D₄	—	9	1	no	—
1008	C₄×D₄	—	9	1	no	—
1009	C₄×D₄	—	9	1	no	—
1010	C₄×D₄	—	9	1	no	—
1011	C₄×D₄	—	9	1	no	—
1012	C₄×D₄	C₂×D₉	1	1	yes	characteristic, complemented
1013	#117	—	9	1	no	—
1014	#117	—	9	1	no	—
1015	#117	—	9	1	no	—
1016	#117	—	9	1	no	—
1017	#117	—	9	1	no	—
1018	#117	—	9	1	no	—
1019	#117	C₂×D₉	1	1	yes	characteristic, complemented
1020	C₂×C₄⋊C₄	—	9	1	no	—
1021	C₂×C₄⋊C₄	—	9	1	no	—
1022	C₂×C₄⋊C₄	—	9	1	no	—
1023	C₂×C₄⋊C₄	—	9	1	no	—
1024	C₂×C₂²⋊C₄	—	9	1	no	—
1025	C₂×C₂²⋊C₄	—	9	1	no	—
1026	C₂×C₂²⋊C₄	—	9	1	no	—
1027	C₂×C₂²⋊C₄	—	9	1	no	—
1028	C₂×C₂²⋊C₄	—	9	1	no	—
1029	C₂×C₂²⋊C₄	—	9	1	no	—
1030	C₂³×C₃	C₂³×D₃	1	1	yes	characteristic
1031	C₂³×C₃	C₂³×D₃	1	1	yes	characteristic
1032	C₂³×C₃	C₂³×D₃	1	1	yes	characteristic
1033	C₂²×D₃	—	3	1	no	—
1034	C₂²×D₃	—	3	1	no	—
1035	C₂²×D₃	—	3	1	no	—
1036	C₂²×D₃	—	3	1	no	—
1037	C₂²×D₃	—	3	1	no	—
1038	C₂²×D₃	—	3	1	no	—
1039	C₂²×D₃	—	6	2	no	—
1040	C₂²×D₃	—	6	2	no	—
1041	C₂²×D₃	—	12	1	no	—
1042	C₂²×D₃	—	12	1	no	—
1043	C₂²×D₃	—	12	1	no	—
1044	C₂²×D₃	—	12	1	no	—
1045	C₂²×D₃	—	12	1	no	—
1046	C₂²×D₃	—	12	1	no	—
1047	C₂²×D₃	—	12	1	no	—
1048	C₃×Q₈	—	4	1	no	—
1049	C₃×Q₈	—	4	1	no	—
1050	C₃×Q₈	—	4	1	no	—
1051	C₃×D₄	—	4	1	no	—
1052	C₃×D₄	—	4	1	no	—
1053	C₃×D₄	—	4	1	no	—
1054	C₂×C₃×C₄	—	4	1	no	—
1055	C₂×C₃×C₄	—	4	1	no	—
1056	C₂×C₃×C₄	—	4	1	no	—
1057	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1058	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1059	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1060	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1061	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1062	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1063	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1064	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1065	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1066	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1067	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1068	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1069	#67	—	6	2	no	—
1070	#67	—	12	1	no	—
1071	#67	—	12	1	no	—
1072	#67	—	12	1	no	—
1073	#67	—	12	1	no	—
1074	#67	—	12	1	no	—
1075	#67	—	12	1	no	—
1076	#67	—	12	1	no	—
1077	#67	—	12	1	no	—
1078	#67	—	12	1	no	—
1079	#67	—	12	1	no	—
1080	#67	—	12	1	no	—
1081	C₂×Dic₃	—	3	1	no	—
1082	C₂×Dic₃	—	3	1	no	—
1083	C₂×Dic₃	—	3	1	no	—
1084	C₂×Dic₃	—	3	1	no	—
1085	C₂×Dic₃	—	3	1	no	—
1086	C₂×Dic₃	—	3	1	no	—
1087	C₂×Dic₃	—	3	1	no	—
1088	C₂×Dic₃	—	3	1	no	—
1089	C₂×Dic₃	—	3	1	no	—
1090	C₂×Dic₃	—	3	1	no	—
1091	C₂×Dic₃	—	12	1	no	—
1092	C₂×Dic₃	—	12	1	no	—
1093	C₂×Dic₃	—	12	1	no	—
1094	D₁₂	—	6	2	no	—
1095	D₁₂	—	6	2	no	—
1096	D₁₂	—	6	2	no	—
1097	D₁₂	—	12	1	no	—
1098	D₁₂	—	12	1	no	—
1099	D₁₂	—	12	1	no	—
1100	D₁₂	—	12	1	no	—
1101	D₁₂	—	12	1	no	—
1102	D₁₂	—	12	1	no	—
1103	D₁₂	—	12	1	no	—
1104	D₁₂	—	12	1	no	—
1105	D₁₂	—	12	1	no	—
1106	C₄×D₃	—	6	2	no	—
1107	C₄×D₃	—	6	2	no	—
1108	C₄×D₃	—	6	2	no	—
1109	C₄×D₃	—	12	1	no	—
1110	C₄×D₃	—	12	1	no	—
1111	C₄×D₃	—	12	1	no	—
1112	C₄×D₃	—	12	1	no	—
1113	C₄×D₃	—	12	1	no	—
1114	C₄×D₃	—	12	1	no	—
1115	C₄×D₃	—	12	1	no	—
1116	C₄×D₃	—	12	1	no	—
1117	C₄×D₃	—	12	1	no	—
1118	C₄×D₃	—	12	1	no	—
1119	C₄×D₃	—	12	1	no	—
1120	C₄×D₃	—	12	1	no	—
1121	C₄×D₃	—	12	1	no	—
1122	Dic₆	—	12	1	no	—
1123	Dic₆	—	12	1	no	—
1124	C₂×C₉	—	4	1	no	—
1125	C₂×C₉	—	4	1	no	—
1126	C₂×C₉	—	4	1	no	—
1127	C₂×C₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1128	C₂×C₉	#585	1	1	yes	characteristic
1129	C₂×C₉	#585	1	1	yes	characteristic
1130	D₉	—	2	2	no	—
1131	D₉	—	4	1	no	—
1132	D₉	—	4	1	no	—
1133	D₉	—	4	1	no	—
1134	D₉	—	4	1	no	—
1135	D₉	—	4	1	no	—
1136	C₂⁴	—	9	1	no	—
1137	C₂⁴	—	9	1	no	—
1138	C₂⁴	—	9	1	no	—
1139	#41	—	36	2	no	—
1140	#41	—	36	2	no	—
1141	#41	—	36	2	no	—
1142	C₂×Q₈	—	9	1	no	—
1143	C₂×Q₈	—	9	1	no	—
1144	C₂×Q₈	C₂²×D₉	1	1	yes	characteristic
1145	C₂×Q₈	C₂²×D₉	1	1	yes	characteristic
1146	C₂×Q₈	C₂²×D₉	1	1	yes	characteristic
1147	C₂×D₄	—	9	1	no	—
1148	C₂×D₄	—	9	1	no	—
1149	C₂×D₄	—	9	1	no	—
1150	C₂×D₄	—	9	1	no	—
1151	C₂×D₄	—	9	1	no	—
1152	C₂×D₄	—	9	1	no	—
1153	C₂×D₄	—	9	1	no	—
1154	C₂×D₄	—	9	1	no	—
1155	C₂×D₄	—	9	1	no	—
1156	C₂×D₄	—	9	1	no	—
1157	C₂×D₄	—	9	1	no	—
1158	C₂×D₄	—	9	1	no	—
1159	C₂×D₄	—	9	1	no	—
1160	C₂×D₄	—	9	1	no	—
1161	C₂×D₄	—	9	1	no	—
1162	C₂×D₄	—	9	1	no	—
1163	C₂×D₄	—	9	1	no	—
1164	C₂×D₄	—	9	1	no	—
1165	C₂×D₄	—	9	1	no	—
1166	C₂×D₄	—	9	1	no	—
1167	C₂×D₄	—	9	1	no	—
1168	C₂×D₄	—	9	1	no	—
1169	C₂×D₄	—	9	1	no	—
1170	C₂×D₄	—	9	1	no	—
1171	C₂×D₄	—	36	2	no	—
1172	C₂×D₄	—	36	2	no	—
1173	C₂×D₄	C₂²×D₉	1	1	yes	characteristic
1174	C₂×D₄	C₂²×D₉	1	1	yes	characteristic
1175	C₂×D₄	C₂²×D₉	1	1	yes	characteristic
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	—	36	2	no	—
1196	C₂²×C₄	C₂²×D₉	1	1	yes	characteristic
1197	C₂²×C₄	C₂²×D₉	1	1	yes	characteristic
1198	C₂²×C₄	C₂²×D₉	1	1	yes	characteristic
1199	C₄⋊C₄	—	9	1	no	—
1200	C₄⋊C₄	—	9	1	no	—
1201	C₄⋊C₄	—	9	1	no	—
1202	C₄⋊C₄	—	9	1	no	—
1203	C₄⋊C₄	—	9	1	no	—
1204	C₄⋊C₄	—	9	1	no	—
1205	C₄⋊C₄	—	9	1	no	—
1206	C₄⋊C₄	—	9	1	no	—
1207	C₄⋊C₄	—	9	1	no	—
1208	C₄⋊C₄	—	9	1	no	—
1209	C₄⋊C₄	—	9	1	no	—
1210	C₄⋊C₄	—	9	1	no	—
1211	C₄⋊C₄	—	9	1	no	—
1212	C₄⋊C₄	—	9	1	no	—
1213	C₄⋊C₄	—	9	1	no	—
1214	C₄⋊C₄	—	9	1	no	—
1215	C₄⋊C₄	—	9	1	no	—
1216	C₄⋊C₄	—	9	1	no	—
1217	C₄⋊C₄	—	9	1	no	—
1218	C₄⋊C₄	—	9	1	no	—
1219	C₄⋊C₄	—	9	1	no	—
1220	C₄⋊C₄	—	9	1	no	—
1221	C₄⋊C₄	—	9	1	no	—
1222	C₄⋊C₄	—	9	1	no	—
1223	C₄⋊C₄	—	9	1	no	—
1224	C₄⋊C₄	—	9	1	no	—
1225	C₄⋊C₄	—	9	1	no	—
1226	C₄⋊C₄	—	9	1	no	—
1227	C₄⋊C₄	C₂²×D₉	1	1	yes	characteristic
1228	C₄⋊C₄	C₂²×D₉	1	1	yes	characteristic
1229	C₄⋊C₄	C₂²×D₉	1	1	yes	characteristic
1230	C₄⋊C₄	C₂²×D₉	1	1	yes	characteristic
1231	C₄⋊C₄	C₂²×D₉	1	1	yes	characteristic
1232	C₄⋊C₄	C₂²×D₉	1	1	yes	characteristic
1233	C₄⋊C₄	C₂²×D₉	1	1	yes	characteristic
1234	C₄⋊C₄	C₂²×D₉	1	1	yes	characteristic
1235	C₄⋊C₄	C₂²×D₉	1	1	yes	characteristic
1236	C₄⋊C₄	C₂²×D₉	1	1	yes	characteristic
1237	C₂²⋊C₄	—	9	1	no	—
1238	C₂²⋊C₄	—	9	1	no	—
1239	C₂²⋊C₄	—	9	1	no	—
1240	C₂²⋊C₄	—	9	1	no	—
1241	C₂²⋊C₄	—	9	1	no	—
1242	C₂²⋊C₄	—	9	1	no	—
1243	C₂²⋊C₄	—	9	1	no	—
1244	C₂²⋊C₄	—	9	1	no	—
1245	C₂²⋊C₄	—	9	1	no	—
1246	C₂²⋊C₄	—	9	1	no	—
1247	C₂²⋊C₄	—	9	1	no	—
1248	C₂²⋊C₄	—	9	1	no	—
1249	C₂²⋊C₄	—	9	1	no	—
1250	C₂²⋊C₄	—	9	1	no	—
1251	C₂²⋊C₄	—	9	1	no	—
1252	C₂²⋊C₄	—	9	1	no	—
1253	C₂²⋊C₄	—	9	1	no	—
1254	C₂²⋊C₄	—	9	1	no	—
1255	C₂²⋊C₄	—	9	1	no	—
1256	C₂²⋊C₄	—	9	1	no	—
1257	C₂²⋊C₄	—	9	1	no	—
1258	C₂²⋊C₄	—	9	1	no	—
1259	C₂²⋊C₄	—	9	1	no	—
1260	C₂²⋊C₄	—	9	1	no	—
1261	C₂²⋊C₄	—	9	1	no	—
1262	C₂²⋊C₄	—	9	1	no	—
1263	C₂²⋊C₄	—	9	1	no	—
1264	C₂²⋊C₄	—	9	1	no	—
1265	C₂²⋊C₄	—	9	1	no	—
1266	C₂²⋊C₄	—	9	1	no	—
1267	C₂²⋊C₄	—	9	1	no	—
1268	C₂²⋊C₄	—	9	1	no	—
1269	C₂²⋊C₄	—	9	1	no	—
1270	C₂²⋊C₄	—	9	1	no	—
1271	C₂²⋊C₄	—	9	1	no	—
1272	C₂²⋊C₄	—	9	1	no	—
1273	C₂²⋊C₄	—	9	1	no	—
1274	C₂²⋊C₄	—	9	1	no	—
1275	C₂²⋊C₄	C₂²×D₉	1	1	yes	characteristic
1276	C₂²⋊C₄	C₂²×D₉	1	1	yes	characteristic
1277	C₂²⋊C₄	C₂²×D₉	1	1	yes	characteristic
1278	C₂²⋊C₄	C₂²×D₉	1	1	yes	characteristic
1279	C₂²⋊C₄	C₂²×D₉	1	1	yes	characteristic
1280	C₂²⋊C₄	C₂²×D₉	1	1	yes	characteristic
1281	C₂²⋊C₄	C₂²×D₉	1	1	yes	characteristic
1282	C₂²⋊C₄	C₂²×D₉	1	1	yes	characteristic
1283	C₂²⋊C₄	C₂²×D₉	1	1	yes	characteristic
1284	C₂²⋊C₄	C₂²×D₉	1	1	yes	characteristic
1285	C₂²⋊C₄	C₂²×D₉	1	1	yes	characteristic
1286	C₂²⋊C₄	C₂²×D₉	1	1	yes	characteristic
1287	C₄²	—	9	1	no	—
1288	C₄²	—	9	1	no	—
1289	C₄²	—	9	1	no	—
1290	C₄²	—	9	1	no	—
1291	C₄²	—	9	1	no	—
1292	C₄²	—	9	1	no	—
1293	C₄²	C₂²×D₉	1	1	yes	characteristic
1294	C₄²	C₂²×D₉	1	1	yes	characteristic
1295	C₄²	C₂²×D₉	1	1	yes	characteristic
1296	C₄²	C₂²×D₉	1	1	yes	characteristic
1297	C₂²×C₃	—	2	1	no	—
1298	C₂²×C₃	—	2	1	no	—
1299	C₂²×C₃	—	2	1	no	—
1300	C₂²×C₃	—	2	1	no	—
1301	C₂²×C₃	—	2	1	no	—
1302	C₂²×C₃	—	2	1	no	—
1303	C₂²×C₃	—	2	1	no	—
1304	C₂²×C₃	—	2	1	no	—
1305	C₂²×C₃	—	2	1	no	—
1306	C₂²×C₃	C₂⁴×D₃	1	1	yes	characteristic
1307	C₂×D₃	—	3	2	no	—
1308	C₂×D₃	—	6	1	no	—
1309	C₂×D₃	—	6	1	no	—
1310	C₂×D₃	—	6	1	no	—
1311	C₂×D₃	—	6	1	no	—
1312	C₂×D₃	—	6	1	no	—
1313	C₂×D₃	—	6	1	no	—
1314	C₂×D₃	—	6	1	no	—
1315	C₂×D₃	—	6	1	no	—
1316	C₂×D₃	—	6	1	no	—
1317	C₂×D₃	—	6	1	no	—
1318	C₂×D₃	—	6	1	no	—
1319	C₂×D₃	—	6	1	no	—
1320	C₂×D₃	—	6	1	no	—
1321	C₂×D₃	—	6	1	no	—
1322	C₂×D₃	—	6	1	no	—
1323	C₂×D₃	—	6	1	no	—
1324	C₂×D₃	—	6	1	no	—
1325	C₂×D₃	—	12	4	no	—
1326	C₂×D₃	—	24	2	no	—
1327	C₂×D₃	—	24	2	no	—
1328	C₃×C₄	—	2	1	no	—
1329	C₃×C₄	—	2	1	no	—
1330	C₃×C₄	—	2	1	no	—
1331	C₃×C₄	—	2	1	no	—
1332	C₃×C₄	—	2	1	no	—
1333	C₃×C₄	—	2	1	no	—
1334	C₃×C₄	—	2	1	no	—
1335	C₃×C₄	—	2	1	no	—
1336	C₃×C₄	—	2	1	no	—
1337	C₃×C₄	—	2	1	no	—
1338	C₃×C₄	—	2	1	no	—
1339	C₃×C₄	—	2	1	no	—
1340	Dic₃	—	6	1	no	—
1341	Dic₃	—	6	1	no	—
1342	Dic₃	—	6	1	no	—
1343	Dic₃	—	6	1	no	—
1344	Dic₃	—	6	1	no	—
1345	Dic₃	—	6	1	no	—
1346	Dic₃	—	6	1	no	—
1347	Dic₃	—	6	1	no	—
1348	Dic₃	—	6	1	no	—
1349	Dic₃	—	6	1	no	—
1350	C₉	#3533	1	1	yes	characteristic, complemented, Sylow
1351	C₂³	—	9	1	no	—
1352	C₂³	—	9	1	no	—
1353	C₂³	—	9	1	no	—
1354	C₂³	—	9	1	no	—
1355	C₂³	—	9	1	no	—
1356	C₂³	—	9	1	no	—
1357	C₂³	—	18	2	no	—
1358	C₂³	—	18	2	no	—
1359	C₂³	—	36	1	no	—
1360	C₂³	—	36	1	no	—
1361	C₂³	—	36	1	no	—
1362	C₂³	—	36	1	no	—
1363	C₂³	—	36	1	no	—
1364	C₂³	—	36	1	no	—
1365	C₂³	—	36	1	no	—
1366	C₂³	C₂³×D₉	1	1	yes	characteristic
1367	C₂³	C₂³×D₉	1	1	yes	characteristic
1368	C₂³	C₂³×D₉	1	1	yes	characteristic
1369	Q₈	—	4	1	no	—
1370	Q₈	—	4	1	no	—
1371	Q₈	—	4	1	no	—
1372	Q₈	—	36	1	no	—
1373	Q₈	—	36	1	no	—
1374	D₄	—	4	1	no	—
1375	D₄	—	4	1	no	—
1376	D₄	—	4	1	no	—
1377	D₄	—	18	2	no	—
1378	D₄	—	18	2	no	—
1379	D₄	—	18	2	no	—
1380	D₄	—	18	2	no	—
1381	D₄	—	36	1	no	—
1382	D₄	—	36	1	no	—
1383	D₄	—	36	1	no	—
1384	D₄	—	36	1	no	—
1385	D₄	—	36	1	no	—
1386	D₄	—	36	1	no	—
1387	D₄	—	36	1	no	—
1388	D₄	—	36	1	no	—
1389	D₄	—	36	1	no	—
1390	D₄	—	36	1	no	—
1391	D₄	—	36	1	no	—
1392	D₄	—	36	1	no	—
1393	D₄	—	36	1	no	—
1394	D₄	—	36	1	no	—
1395	D₄	—	36	1	no	—
1396	D₄	—	36	1	no	—
1397	D₄	—	36	1	no	—
1398	D₄	—	36	1	no	—
1399	D₄	—	36	1	no	—
1400	D₄	—	36	1	no	—
1401	C₂×C₄	—	4	1	no	—
1402	C₂×C₄	—	4	1	no	—
1403	C₂×C₄	—	4	1	no	—
1404	C₂×C₄	—	9	1	no	—
1405	C₂×C₄	—	9	1	no	—
1406	C₂×C₄	—	9	1	no	—
1407	C₂×C₄	—	9	1	no	—
1408	C₂×C₄	—	9	1	no	—
1409	C₂×C₄	—	9	1	no	—
1410	C₂×C₄	—	9	1	no	—
1411	C₂×C₄	—	9	1	no	—
1412	C₂×C₄	—	9	1	no	—
1413	C₂×C₄	—	9	1	no	—
1414	C₂×C₄	—	18	2	no	—
1415	C₂×C₄	—	18	2	no	—
1416	C₂×C₄	—	18	2	no	—
1417	C₂×C₄	—	36	1	no	—
1418	C₂×C₄	—	36	1	no	—
1419	C₂×C₄	—	36	1	no	—
1420	C₂×C₄	—	36	1	no	—
1421	C₂×C₄	—	36	1	no	—
1422	C₂×C₄	—	36	1	no	—
1423	C₂×C₄	—	36	1	no	—
1424	C₂×C₄	—	36	1	no	—
1425	C₂×C₄	—	36	1	no	—
1426	C₂×C₄	—	36	1	no	—
1427	C₂×C₄	—	36	1	no	—
1428	C₂×C₄	—	36	1	no	—
1429	C₂×C₄	—	36	1	no	—
1430	C₂×C₄	—	36	1	no	—
1431	C₂×C₄	—	36	1	no	—
1432	C₂×C₄	—	36	1	no	—
1433	C₂×C₄	C₂³×D₉	1	1	yes	characteristic
1434	C₂×C₄	C₂³×D₉	1	1	yes	characteristic
1435	C₂×C₄	C₂³×D₉	1	1	yes	characteristic
1436	C₂×C₄	C₂³×D₉	1	1	yes	characteristic
1437	C₂×C₄	C₂³×D₉	1	1	yes	characteristic
1438	C₂×C₄	C₂³×D₉	1	1	yes	characteristic
1439	C₂×C₄	C₂³×D₉	1	1	yes	characteristic
1440	C₂×C₄	C₂³×D₉	1	1	yes	characteristic
1441	C₂×C₄	C₂³×D₉	1	1	yes	characteristic
1442	C₂×C₄	C₂³×D₉	1	1	yes	characteristic
1443	C₂×C₄	C₂³×D₉	1	1	yes	characteristic
1444	C₂×C₄	C₂³×D₉	1	1	yes	characteristic
1445	C₂×C₃	—	4	1	no	—
1446	C₂×C₃	—	4	1	no	—
1447	C₂×C₃	—	4	1	no	—
1448	C₂×C₃	#5964	1	1	yes	characteristic
1449	C₂×C₃	D₃×H(5,𝔽₂)	1	1	yes	characteristic
1450	C₂×C₃	#5968	1	1	yes	characteristic
1451	D₃	—	6	2	no	—
1452	D₃	—	12	1	no	—
1453	D₃	—	12	1	no	—
1454	D₃	—	12	1	no	—
1455	D₃	—	12	1	no	—
1456	D₃	—	12	1	no	—
1457	C₂²	—	2	1	no	—
1458	C₂²	—	2	1	no	—
1459	C₂²	—	2	1	no	—
1460	C₂²	—	2	1	no	—
1461	C₂²	—	2	1	no	—
1462	C₂²	—	2	1	no	—
1463	C₂²	—	2	1	no	—
1464	C₂²	—	2	1	no	—
1465	C₂²	—	2	1	no	—
1466	C₂²	—	9	2	no	—
1467	C₂²	—	18	1	no	—
1468	C₂²	—	18	1	no	—
1469	C₂²	—	18	1	no	—
1470	C₂²	—	18	1	no	—
1471	C₂²	—	18	1	no	—
1472	C₂²	—	18	1	no	—
1473	C₂²	—	18	1	no	—
1474	C₂²	—	18	1	no	—
1475	C₂²	—	18	1	no	—
1476	C₂²	—	18	1	no	—
1477	C₂²	—	18	1	no	—
1478	C₂²	—	18	1	no	—
1479	C₂²	—	18	1	no	—
1480	C₂²	—	18	1	no	—
1481	C₂²	—	18	1	no	—
1482	C₂²	—	18	1	no	—
1483	C₂²	—	18	1	no	—
1484	C₂²	—	36	4	no	—
1485	C₂²	—	72	2	no	—
1486	C₂²	—	72	2	no	—
1487	C₂²	C₂⁴×D₉	1	1	yes	characteristic
1488	C₄	—	2	1	no	—
1489	C₄	—	2	1	no	—
1490	C₄	—	2	1	no	—
1491	C₄	—	2	1	no	—
1492	C₄	—	2	1	no	—
1493	C₄	—	2	1	no	—
1494	C₄	—	2	1	no	—
1495	C₄	—	2	1	no	—
1496	C₄	—	2	1	no	—
1497	C₄	—	2	1	no	—
1498	C₄	—	2	1	no	—
1499	C₄	—	2	1	no	—
1500	C₄	—	18	1	no	—
1501	C₄	—	18	1	no	—
1502	C₄	—	18	1	no	—
1503	C₄	—	18	1	no	—
1504	C₄	—	18	1	no	—
1505	C₄	—	18	1	no	—
1506	C₄	—	18	1	no	—
1507	C₄	—	18	1	no	—
1508	C₄	—	18	1	no	—
1509	C₄	—	18	1	no	—
1510	C₃	#86559	1	1	yes	characteristic
1511	C₂	—	4	1	no	—
1512	C₂	—	4	1	no	—
1513	C₂	—	4	1	no	—
1514	C₂	—	18	2	no	—
1515	C₂	—	36	1	no	—
1516	C₂	—	36	1	no	—
1517	C₂	—	36	1	no	—
1518	C₂	—	36	1	no	—
1519	C₂	—	36	1	no	—
1520	C₂	#10593139	1	1	yes	characteristic
1521	C₂	D₉×H(5,𝔽₂)	1	1	yes	characteristic
1522	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×#542	C₂
hypercenter	#542	D₉
hypocenter	C₉	#3533
LCS	G ▷ C₂²×C₉ ▷ C₉
UCS	C₁ ◁ C₂² ◁ #542

Complements

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

N	H ≅ G/N	type
1. C₉×#542	C₂	semidirect
2. #10589837	C₂	semidirect
3. #10589828	C₂	semidirect
4. #10589813	C₂	semidirect
5. #10589810	C₂	semidirect
6. #10589809	C₂	semidirect
7. #10589806	C₂	semidirect
8. #10589786	C₂	semidirect
9. #10589780	C₂	semidirect
10. #10589780	C₂	semidirect
11. #10589778	C₂	semidirect
12. #10589776	C₂	semidirect
13. #10589771	C₂	semidirect
14. #10589765	C₂	semidirect
15. #10589763	C₂	semidirect
16. #10589756	C₂	semidirect
17. D₉×#123	C₂	semidirect
18. #10589749	C₂	semidirect
19. #10589740	C₂	semidirect
20. #10589739	C₂	semidirect
21. #10589739	C₂	semidirect
22. #10589733	C₂	semidirect
23. #10589729	C₂	semidirect
24. #10589717	C₂	semidirect
25. #10589707	C₂	semidirect
26. #10589687	C₂	semidirect
27. #10589683	C₂	semidirect
28. #10589662	C₂	semidirect
29. #10589649	C₂	semidirect
30. #10589632	C₂	semidirect
31. #10589629	C₂	semidirect
34. C₂×#3701	C₂²	semidirect
38. C₂²×C₄×D₉	C₂²	semidirect
39. C₉×C₄⋊Q₈	C₂²	semidirect
40. C₉×#126	C₂²	semidirect
41. C₉×#126	C₂²	semidirect
42. C₉×#124	C₂²	semidirect
43. C₉×#124	C₂²	semidirect
44. C₉×#124	C₂²	semidirect
45. C₉×#123	C₂²	semidirect
46. C₉×#123	C₂²	semidirect
47. C₉×C₂²⋊Q₈	C₂²	semidirect
48. C₉×C₂²⋊Q₈	C₂²	semidirect
49. C₉×C₂²⋊Q₈	C₂²	semidirect
51. C₄×Q₈×C₉	C₂²	semidirect
52. C₄×D₄×C₉	C₂²	semidirect
53. C₉×#117	C₂²	semidirect
55. #63509	C₂²	semidirect
56. #63509	C₂²	semidirect
57. #63508	C₂²	semidirect
58. #63508	C₂²	semidirect
59. #63508	C₂²	semidirect
60. #63508	C₂²	semidirect
61. #63508	C₂²	semidirect
62. #63508	C₂²	semidirect
63. #63506	C₂²	semidirect
64. #63502	C₂²	semidirect
67. #63501	C₂²	semidirect
68. #63501	C₂²	semidirect
69. #63501	C₂²	semidirect
70. #63500	C₂²	semidirect
73. #63497	C₂²	semidirect
75. #63492	C₂²	semidirect
77. #63491	C₂²	semidirect
78. C₄×#611	C₂²	semidirect
79. C₄×#611	C₂²	semidirect
80. C₄×#611	C₂²	semidirect
81. C₄×#611	C₂²	semidirect
83. C₂×(C₂×D₉)⋊C₄	C₂²	semidirect
84. #63460	C₂²	semidirect
85. #63460	C₂²	semidirect
86. #63460	C₂²	semidirect
87. #63460	C₂²	semidirect
88. #63459	C₂²	semidirect
89. #63458	C₂²	semidirect
90. #63458	C₂²	semidirect
91. #63458	C₂²	semidirect
93. #63457	C₂²	semidirect
94. #63457	C₂²	semidirect
95. #63457	C₂²	semidirect
101. #63456	C₂²	semidirect
102. #63456	C₂²	semidirect
103. #63456	C₂²	semidirect
104. #63456	C₂²	semidirect
105. #63456	C₂²	semidirect
106. #63456	C₂²	semidirect
107. #63456	C₂²	semidirect
108. #63456	C₂²	semidirect
109. #63455	C₂²	semidirect
110. #63455	C₂²	semidirect
111. #63455	C₂²	semidirect
112. #63455	C₂²	semidirect
113. #63454	C₂²	semidirect
114. #63454	C₂²	semidirect
115. C₄⋊C₄×D₉	C₂²	semidirect
116. C₄⋊C₄×D₉	C₂²	semidirect
117. C₄⋊C₄×D₉	C₂²	semidirect
118. C₄⋊C₄×D₉	C₂²	semidirect
119. #63452	C₂²	semidirect
120. #63451	C₂²	semidirect
121. #63451	C₂²	semidirect
122. #63451	C₂²	semidirect
123. #63451	C₂²	semidirect
125. #63448	C₂²	semidirect
126. #63448	C₂²	semidirect
127. #63447	C₂²	semidirect
128. #63447	C₂²	semidirect
132. #63446	C₂²	semidirect
133. #63446	C₂²	semidirect
134. #63446	C₂²	semidirect
135. #63446	C₂²	semidirect
136. #63446	C₂²	semidirect
137. #63446	C₂²	semidirect
138. #63446	C₂²	semidirect
139. #63446	C₂²	semidirect
143. #63445	C₂²	semidirect
144. #63445	C₂²	semidirect
145. #63445	C₂²	semidirect
146. #63445	C₂²	semidirect
147. #63445	C₂²	semidirect
148. #63445	C₂²	semidirect
153. #63444	C₂²	semidirect
154. #63444	C₂²	semidirect
155. #63444	C₂²	semidirect
156. #63444	C₂²	semidirect
158. #611⋊C₄	C₂²	semidirect
159. #611⋊C₄	C₂²	semidirect
160. #611⋊C₄	C₂²	semidirect
163. C₂²⋊C₄×D₉	C₂²	semidirect
164. C₂²⋊C₄×D₉	C₂²	semidirect
165. #63441	C₂²	semidirect
166. #63441	C₂²	semidirect
167. #63440	C₂²	semidirect
168. #63440	C₂²	semidirect
169. #63440	C₂²	semidirect
170. #63439	C₂²	semidirect
171. #63439	C₂²	semidirect
172. #63438	C₂²	semidirect
173. #63438	C₂²	semidirect
174. #63438	C₂²	semidirect
175. #63438	C₂²	semidirect
176. #63437	C₂²	semidirect
177. #63437	C₂²	semidirect
180. C₄×D₃₆	C₂²	semidirect
181. C₄×D₃₆	C₂²	semidirect
182. C₄×D₃₆	C₂²	semidirect
183. C₄×D₃₆	C₂²	semidirect
184. #63434	C₂²	semidirect
185. #63434	C₂²	semidirect
186. #63432	C₂²	semidirect
187. C₄×Dic₁₈	C₂²	semidirect
647. #542	D₉	semidirect
882. C₄⋊Q₈	C₂×D₉	semidirect
895. #126	C₂×D₉	semidirect
896. #126	C₂×D₉	semidirect
910. #124	C₂×D₉	semidirect
911. #124	C₂×D₉	semidirect
912. #124	C₂×D₉	semidirect
941. #123	C₂×D₉	semidirect
942. #123	C₂×D₉	semidirect
956. C₂²⋊Q₈	C₂×D₉	semidirect
957. C₂²⋊Q₈	C₂×D₉	semidirect
958. C₂²⋊Q₈	C₂×D₉	semidirect
994. C₄×Q₈	C₂×D₉	semidirect
1012. C₄×D₄	C₂×D₉	semidirect
1019. #117	C₂×D₉	semidirect
1350. C₉	#3533	semidirect

Maximal subgroups

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

subgroup	index
C₉×#542	2
#10589837	2
#10589828	2
#10589813	2
#10589810	2
#10589809	2
#10589806	2
#10589786	2
#10589780	2
#10589778	2
#10589776	2
#10589771	2
#10589765	2
#10589763	2
#10589756	2
D₉×#123	2
#10589749	2
#10589740	2
#10589739	2
#10589733	2
#10589729	2
#10589717	2
#10589707	2
#10589687	2
#10589683	2
#10589662	2
#10589649	2
#10589632	2
#10589629	2
#86559	3