Subgroups — #10966541

Order 768.

1768 conjugacy classes of subgroups.

The subgroup lattice has 1342 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×#2469	C₂	1	1	yes	maximal, characteristic, complemented
2	#83084	C₂	1	1	yes	maximal, characteristic
3	Dic₃×#126	C₂	1	1	yes	maximal, characteristic, complemented
4	#82473	C₂	1	1	yes	maximal, characteristic, complemented
5	C₄×Q₈×Dic₃	C₂	1	1	yes	maximal, characteristic, complemented
6	#78182	C₂	1	1	yes	maximal, characteristic, complemented
7	#78132	C₂	1	1	yes	maximal, characteristic, complemented
8	#77315	C₂	1	1	yes	maximal, characteristic
9	#77283	C₂	1	1	yes	maximal, characteristic, complemented
10	#77191	C₂	1	1	yes	maximal, characteristic, complemented
11	#77170	C₂	1	1	yes	maximal, characteristic, complemented
12	#76804	C₂	1	1	yes	maximal, characteristic
13	#76778	C₂	1	1	yes	maximal, characteristic, complemented
14	#76094	C₂	1	1	yes	maximal, characteristic, complemented
15	#75967	C₂	1	1	yes	maximal, characteristic, complemented
16	#75633	C₂	1	1	yes	maximal, characteristic, complemented
17	#75624	C₂	1	1	yes	maximal, characteristic, complemented
18	#75570	C₂	1	1	yes	maximal, characteristic, complemented
19	#75501	C₂	1	1	yes	maximal, characteristic
20	#75454	C₂	1	1	yes	maximal, characteristic
21	#75454	C₂	1	1	yes	maximal, characteristic
22	#75451	C₂	1	1	yes	maximal, characteristic, complemented
23	#75450	C₂	1	1	yes	maximal, characteristic
24	#75115	C₂	1	1	yes	maximal, characteristic, complemented
25	#75032	C₂	1	1	yes	maximal, characteristic, complemented
26	#74986	C₂	1	1	yes	maximal, characteristic, complemented
27	#74942	C₂	1	1	yes	maximal, characteristic, complemented
28	#74939	C₂	1	1	yes	maximal, characteristic, complemented
29	#74938	C₂	1	1	yes	maximal, characteristic, complemented
30	#73704	C₂	1	1	yes	maximal, characteristic, complemented
31	C₄×#887	C₂	1	1	yes	maximal, characteristic, complemented
32	#34902	—	3	1	no	maximal, Sylow
33	C₂×C₃×#126	C₂²	1	1	yes	characteristic
34	C₂×C₃×C₄×Q₈	C₂²	1	1	yes	characteristic
35	C₂×Q₈×Dic₃	C₂²	1	1	yes	characteristic
36	C₂×Q₈×Dic₃	C₂²	1	1	yes	characteristic
37	C₂×#898	C₂²	1	1	yes	characteristic
38	C₂×#892	C₂²	1	1	yes	characteristic
39	C₂×#888	C₂²	1	1	yes	characteristic
40	C₂×#887	C₂²	1	1	yes	characteristic
41	C₂×#887	C₂²	1	1	yes	characteristic
42	C₂×#887	C₂²	1	1	yes	characteristic
43	C₂×#885	C₂²	1	1	yes	characteristic
44	C₂×#885	C₂²	1	1	yes	characteristic
45	C₂×#67⋊C₄	C₂²	1	1	yes	characteristic
46	C₂×#877	C₂²	1	1	yes	characteristic
47	C₂×C₄×Dic₆	C₂²	1	1	yes	characteristic
48	C₃×#400	C₂²	1	1	yes	characteristic
49	C₃×#396	C₂²	1	1	yes	characteristic
50	C₃×#395	C₂²	1	1	yes	characteristic
51	C₃×#393	C₂²	1	1	yes	characteristic
52	C₃×#389	C₂²	1	1	yes	characteristic
53	C₃×#388	C₂²	1	1	yes	characteristic
54	C₃×#388	C₂²	1	1	yes	characteristic
55	C₃×#388	C₂²	1	1	yes	characteristic
56	C₃×#388	C₂²	1	1	yes	characteristic
57	C₃×#387	C₂²	1	1	yes	characteristic
58	C₃×#387	C₂²	1	1	yes	characteristic
59	C₃×#387	C₂²	1	1	yes	characteristic
60	C₃×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic
61	#5231	C₂²	1	1	yes	characteristic
62	#5230	C₂²	1	1	yes	characteristic
63	#4994	C₂²	1	1	yes	characteristic
64	#4994	C₂²	1	1	yes	characteristic
65	#4994	C₂²	1	1	yes	characteristic
66	#4992	C₂²	1	1	yes	characteristic
67	#4990	C₂²	1	1	yes	characteristic
68	#4990	C₂²	1	1	yes	characteristic
69	#4990	C₂²	1	1	yes	characteristic
70	#4990	C₂²	1	1	yes	characteristic
71	#4986	C₂²	1	1	yes	characteristic
72	#4986	C₂²	1	1	yes	characteristic
73	#4986	C₂²	1	1	yes	characteristic
74	#4986	C₂²	1	1	yes	characteristic
75	#4980	C₂²	1	1	yes	characteristic
76	#4980	C₂²	1	1	yes	characteristic
77	#4980	C₂²	1	1	yes	characteristic
78	#4980	C₂²	1	1	yes	characteristic
79	#4980	C₂²	1	1	yes	characteristic
80	#4978	C₂²	1	1	yes	characteristic
81	#4976	C₂²	1	1	yes	characteristic
82	#4976	C₂²	1	1	yes	characteristic
83	#4976	C₂²	1	1	yes	characteristic
84	#4976	C₂²	1	1	yes	characteristic
85	#4975	C₂²	1	1	yes	characteristic
86	Dic₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
87	Dic₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
88	Dic₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
89	Dic₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
90	Dic₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
91	Dic₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
92	Dic₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
93	Dic₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
94	Dic₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
95	Dic₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
96	Dic₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
97	#4957	C₂²	1	1	yes	characteristic
98	#4957	C₂²	1	1	yes	characteristic
99	#4957	C₂²	1	1	yes	characteristic
100	#4957	C₂²	1	1	yes	characteristic
101	#4953	C₂²	1	1	yes	characteristic
102	#4953	C₂²	1	1	yes	characteristic
103	#4953	C₂²	1	1	yes	characteristic
104	#4951	C₂²	1	1	yes	characteristic
105	#4951	C₂²	1	1	yes	characteristic
106	#4951	C₂²	1	1	yes	characteristic
107	#4951	C₂²	1	1	yes	characteristic
108	#4951	C₂²	1	1	yes	characteristic
109	#4949	C₂²	1	1	yes	characteristic
110	#4948	C₂²	1	1	yes	characteristic
111	#4948	C₂²	1	1	yes	characteristic
112	#4945	C₂²	1	1	yes	characteristic
113	#4945	C₂²	1	1	yes	characteristic
114	#4945	C₂²	1	1	yes	characteristic
115	#4944	C₂²	1	1	yes	characteristic
116	Dic₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
117	Dic₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
118	Dic₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
119	Dic₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
120	Dic₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
121	#4940	C₂²	1	1	yes	characteristic
122	#4940	C₂²	1	1	yes	characteristic
123	#4940	C₂²	1	1	yes	characteristic
124	#4940	C₂²	1	1	yes	characteristic
125	#4940	C₂²	1	1	yes	characteristic
126	#4937	C₂²	1	1	yes	characteristic
127	C₄×C₄⋊Dic₃	C₂²	1	1	yes	characteristic
128	C₄×C₄⋊Dic₃	C₂²	1	1	yes	characteristic
129	C₄×C₄⋊Dic₃	C₂²	1	1	yes	characteristic
130	#4933	C₂²	1	1	yes	characteristic
131	#4933	C₂²	1	1	yes	characteristic
132	C₄×Dic₃⋊C₄	C₂²	1	1	yes	characteristic
133	C₄×Dic₃⋊C₄	C₂²	1	1	yes	characteristic
134	C₄²×Dic₃	C₂²	1	1	yes	characteristic
135	C₄²×Dic₃	C₂²	1	1	yes	characteristic
136	C₄²×Dic₃	C₂²	1	1	yes	characteristic
137	C₄²×Dic₃	C₂²	1	1	yes	characteristic
138	C₄²×Dic₃	C₂²	1	1	yes	characteristic
139	#4928	C₂²	1	1	yes	characteristic
140	#4677	C₂²	1	1	yes	characteristic
141	#4675	C₂²	1	1	yes	characteristic
142	#4674	C₂²	1	1	yes	characteristic
143	#4670	C₂²	1	1	yes	characteristic
144	#4670	C₂²	1	1	yes	characteristic
145	#4669	C₂²	1	1	yes	characteristic
146	#4669	C₂²	1	1	yes	characteristic
147	#4666	C₂²	1	1	yes	characteristic
148	#4666	C₂²	1	1	yes	characteristic
149	#4666	C₂²	1	1	yes	characteristic
150	#4666	C₂²	1	1	yes	characteristic
151	#4666	C₂²	1	1	yes	characteristic
152	C₃⋊#401	C₂²	1	1	yes	characteristic
153	C₃⋊#401	C₂²	1	1	yes	characteristic
154	#4661	C₂²	1	1	yes	characteristic
155	#4661	C₂²	1	1	yes	characteristic
156	#4660	C₂²	1	1	yes	characteristic
157	#4659	C₂²	1	1	yes	characteristic
158	#4659	C₂²	1	1	yes	characteristic
159	#4657	C₂²	1	1	yes	characteristic
160	#4657	C₂²	1	1	yes	characteristic
161	#4655	C₂²	1	1	yes	characteristic
162	#4655	C₂²	1	1	yes	characteristic
163	#4654	C₂²	1	1	yes	characteristic
164	#4653	C₂²	1	1	yes	characteristic
165	#4653	C₂²	1	1	yes	characteristic
166	#4652	C₂²	1	1	yes	characteristic
167	#4652	C₂²	1	1	yes	characteristic
168	#4651	C₂²	1	1	yes	characteristic
169	#4650	C₂²	1	1	yes	characteristic
170	#4650	C₂²	1	1	yes	characteristic
171	#4649	C₂²	1	1	yes	characteristic
172	#4649	C₂²	1	1	yes	characteristic
173	#4649	C₂²	1	1	yes	characteristic
174	#4649	C₂²	1	1	yes	characteristic
175	#4649	C₂²	1	1	yes	characteristic
176	#4649	C₂²	1	1	yes	characteristic
177	#4649	C₂²	1	1	yes	characteristic
178	#4648	C₂²	1	1	yes	characteristic
179	#4648	C₂²	1	1	yes	characteristic
180	#4647	C₂²	1	1	yes	characteristic
181	#4647	C₂²	1	1	yes	characteristic
182	#4646	C₂²	1	1	yes	characteristic
183	#4646	C₂²	1	1	yes	characteristic
184	#4646	C₂²	1	1	yes	characteristic
185	#4646	C₂²	1	1	yes	characteristic
186	#4646	C₂²	1	1	yes	characteristic
187	#4646	C₂²	1	1	yes	characteristic
188	#2596	—	3	1	no	—
189	#2596	—	3	1	no	—
190	#2594	—	3	1	no	—
191	#2594	—	3	1	no	—
192	#2592	—	3	1	no	—
193	#2581	—	3	1	no	—
194	#2570	—	3	1	no	—
195	#2545	—	3	1	no	—
196	#2525	—	3	1	no	—
197	#2525	—	3	1	no	—
198	#2514	—	3	1	no	—
199	#2512	—	3	1	no	—
200	#2469	—	3	1	no	—
201	#2469	D₃	1	1	yes	characteristic, complemented
202	#2448	—	3	1	no	—
203	#2446	—	3	1	no	—
204	#2401	—	3	1	no	—
205	#2401	—	3	1	no	—
206	#2396	—	3	1	no	—
207	#2396	—	3	1	no	—
208	C₄×C₄⋊Q₈	—	3	1	no	—
209	C₄×#126	—	3	1	no	—
210	C₄×#126	—	3	1	no	—
211	C₄×#124	—	3	1	no	—
212	C₄×#124	—	3	1	no	—
213	#2298	—	3	1	no	—
214	#2298	—	3	1	no	—
215	#2295	—	3	1	no	—
216	#2293	—	3	1	no	—
217	C₄²×Q₈	—	3	1	no	—
218	C₄²×Q₈	—	3	1	no	—
219	C₂²×C₃×Q₈	C₂³	1	1	yes	characteristic
220	C₂²×#67	C₂³	1	1	yes	characteristic
221	C₂³×Dic₃	C₂³	1	1	yes	characteristic
222	C₂²×C₄×D₃	C₂³	1	1	yes	characteristic
223	C₂²×Dic₆	C₂³	1	1	yes	characteristic
224	C₂²×Dic₆	C₂³	1	1	yes	characteristic
225	C₃×#126	—	2	4	no	—
226	C₃×C₄×Q₈	—	2	4	no	—
227	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
228	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
229	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
230	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
231	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
232	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
233	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
234	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
235	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
236	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
237	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
238	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
239	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
240	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
241	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
242	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
243	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
244	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
245	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
246	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
247	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
248	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
249	C₂×#217	C₂³	1	1	yes	characteristic
250	C₂×#217	C₂³	1	1	yes	characteristic
251	C₂×#217	C₂³	1	1	yes	characteristic
252	C₂×#217	C₂³	1	1	yes	characteristic
253	C₂×#217	C₂³	1	1	yes	characteristic
254	C₂×#217	C₂³	1	1	yes	characteristic
255	Q₈×Dic₃	—	2	4	no	—
256	Q₈×Dic₃	—	2	4	no	—
257	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
258	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
259	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
260	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
261	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
262	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
263	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
264	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
265	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
266	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
267	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
268	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
269	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
270	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
271	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
272	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
273	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
274	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
275	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
276	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
277	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
278	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
279	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
280	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
281	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
282	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
283	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
284	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
285	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
286	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
287	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
288	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
289	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
290	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
291	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
292	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
293	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
294	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
295	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
296	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
297	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
298	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
299	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
300	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
301	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
302	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
303	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
304	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
305	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
306	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
307	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
308	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
309	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
310	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
311	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
312	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
313	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
314	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
315	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
316	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
317	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
318	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
319	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
320	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
321	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
322	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
323	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
324	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
325	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
326	#898	—	2	4	no	—
327	#892	—	2	4	no	—
328	#888	—	2	4	no	—
329	#887	—	2	4	no	—
330	#887	—	2	4	no	—
331	#887	—	2	4	no	—
332	#885	—	2	4	no	—
333	#885	—	2	4	no	—
334	#67⋊C₄	—	2	4	no	—
335	#877	—	2	4	no	—
336	C₄×Dic₆	—	2	4	no	—
337	C₃×#95	C₂³	1	1	yes	characteristic
338	C₃×#95	C₂³	1	1	yes	characteristic
339	C₃×#95	C₂³	1	1	yes	characteristic
340	C₃×#95	C₂³	1	1	yes	characteristic
341	C₃×#95	C₂³	1	1	yes	characteristic
342	C₃×#95	C₂³	1	1	yes	characteristic
343	C₃×#95	C₂³	1	1	yes	characteristic
344	C₃×#95	C₂³	1	1	yes	characteristic
345	C₃×#95	C₂³	1	1	yes	characteristic
346	C₃×#95	C₂³	1	1	yes	characteristic
347	C₃×#95	C₂³	1	1	yes	characteristic
348	C₃×#95	C₂³	1	1	yes	characteristic
349	C₃⋊#95	C₂³	1	1	yes	characteristic
350	C₃⋊#95	C₂³	1	1	yes	characteristic
351	C₃⋊#95	C₂³	1	1	yes	characteristic
352	C₃⋊#95	C₂³	1	1	yes	characteristic
353	C₃⋊#95	C₂³	1	1	yes	characteristic
354	C₃⋊#95	C₂³	1	1	yes	characteristic
355	C₃⋊#95	C₂³	1	1	yes	characteristic
356	C₃⋊#95	C₂³	1	1	yes	characteristic
357	C₃⋊#95	C₂³	1	1	yes	characteristic
358	C₃⋊#95	C₂³	1	1	yes	characteristic
359	C₃⋊#95	C₂³	1	1	yes	characteristic
360	C₃⋊#95	C₂³	1	1	yes	characteristic
361	C₃⋊#95	C₂³	1	1	yes	characteristic
362	C₃⋊#95	C₂³	1	1	yes	characteristic
363	C₃⋊#95	C₂³	1	1	yes	characteristic
364	C₃⋊#95	C₂³	1	1	yes	characteristic
365	C₃⋊#95	C₂³	1	1	yes	characteristic
366	C₃⋊#95	C₂³	1	1	yes	characteristic
367	C₃⋊#95	C₂³	1	1	yes	characteristic
368	C₃⋊#95	C₂³	1	1	yes	characteristic
369	C₃⋊#95	C₂³	1	1	yes	characteristic
370	C₃⋊#95	C₂³	1	1	yes	characteristic
371	C₃⋊#95	C₂³	1	1	yes	characteristic
372	C₃⋊#95	C₂³	1	1	yes	characteristic
373	C₃⋊#95	C₂³	1	1	yes	characteristic
374	C₃⋊#95	C₂³	1	1	yes	characteristic
375	C₃⋊#95	C₂³	1	1	yes	characteristic
376	C₃⋊#95	C₂³	1	1	yes	characteristic
377	C₃⋊#95	C₂³	1	1	yes	characteristic
378	C₃⋊#95	C₂³	1	1	yes	characteristic
379	C₃⋊#95	C₂³	1	1	yes	characteristic
380	C₃⋊#95	C₂³	1	1	yes	characteristic
381	C₃⋊#95	C₂³	1	1	yes	characteristic
382	C₃⋊#95	C₂³	1	1	yes	characteristic
383	C₃⋊#95	C₂³	1	1	yes	characteristic
384	C₃⋊#95	C₂³	1	1	yes	characteristic
385	C₃⋊#95	C₂³	1	1	yes	characteristic
386	C₃⋊#95	C₂³	1	1	yes	characteristic
387	C₃⋊#95	C₂³	1	1	yes	characteristic
388	C₃⋊#95	C₂³	1	1	yes	characteristic
389	C₂×C₄⋊Q₈	—	3	1	no	—
390	C₂×#126	—	3	1	no	—
391	C₂×#126	C₂×D₃	1	1	yes	characteristic
392	C₂×#124	—	3	1	no	—
393	C₂×#124	—	3	1	no	—
394	C₂×C₄×Q₈	—	3	1	no	—
395	C₂×C₄×Q₈	—	3	1	no	—
396	C₂×C₄×Q₈	—	3	1	no	—
397	C₂×C₄×Q₈	—	3	1	no	—
398	C₂×C₄×Q₈	—	3	1	no	—
399	C₂×C₄×Q₈	—	3	1	no	—
400	C₂×C₄×Q₈	C₂×D₃	1	1	yes	characteristic
401	C₂×C₄×D₄	—	3	1	no	—
402	C₂×#117	—	3	1	no	—
403	C₂×#117	—	3	1	no	—
404	#401	—	3	1	no	—
405	#401	—	3	1	no	—
406	#400	—	3	1	no	—
407	#400	—	3	1	no	—
408	#400	—	3	1	no	—
409	#400	—	3	1	no	—
410	#400	—	3	1	no	—
411	#400	—	3	1	no	—
412	#400	—	3	1	no	—
413	#400	C₂×D₃	1	1	yes	characteristic
414	#399	—	3	1	no	—
415	#399	—	3	1	no	—
416	#398	—	3	1	no	—
417	#398	—	3	1	no	—
418	#398	—	3	1	no	—
419	#398	—	3	1	no	—
420	#397	—	3	1	no	—
421	#397	—	3	1	no	—
422	#397	—	3	1	no	—
423	#397	—	3	1	no	—
424	#397	—	3	1	no	—
425	#397	—	3	1	no	—
426	#396	—	3	1	no	—
427	#396	—	3	1	no	—
428	#396	—	3	1	no	—
429	#396	—	3	1	no	—
430	#396	—	3	1	no	—
431	#396	C₂×D₃	1	1	yes	characteristic
432	#395	—	3	1	no	—
433	#395	C₂×D₃	1	1	yes	characteristic
434	#393	—	3	1	no	—
435	#393	C₂×D₃	1	1	yes	characteristic
436	#391	—	3	1	no	—
437	#391	—	3	1	no	—
438	#391	—	3	1	no	—
439	#391	—	3	1	no	—
440	#391	—	3	1	no	—
441	#391	—	3	1	no	—
442	#390	—	3	1	no	—
443	#390	—	3	1	no	—
444	#390	—	3	1	no	—
445	#390	—	3	1	no	—
446	#389	—	3	1	no	—
447	#389	—	3	1	no	—
448	#389	—	3	1	no	—
449	#389	—	3	1	no	—
450	#389	—	3	1	no	—
451	#389	—	3	1	no	—
452	#389	—	3	1	no	—
453	#389	C₂×D₃	1	1	yes	characteristic
454	#388	—	3	1	no	—
455	#388	—	3	1	no	—
456	#388	—	3	1	no	—
457	#388	—	3	1	no	—
458	#388	—	3	1	no	—
459	#388	—	3	1	no	—
460	#388	—	3	1	no	—
461	#388	—	3	1	no	—
462	#388	—	3	1	no	—
463	#388	—	3	1	no	—
464	#388	—	3	1	no	—
465	#388	—	3	1	no	—
466	#388	—	3	1	no	—
467	#388	—	3	1	no	—
468	#388	—	3	1	no	—
469	#388	—	3	1	no	—
470	#388	—	3	1	no	—
471	#388	—	3	1	no	—
472	#388	—	3	1	no	—
473	#388	—	3	1	no	—
474	#388	—	3	1	no	—
475	#388	—	3	1	no	—
476	#388	C₂×D₃	1	1	yes	characteristic
477	#388	C₂×D₃	1	1	yes	characteristic
478	#388	C₂×D₃	1	1	yes	characteristic
479	#388	C₂×D₃	1	1	yes	characteristic
480	#387	—	3	1	no	—
481	#387	—	3	1	no	—
482	#387	—	3	1	no	—
483	#387	—	3	1	no	—
484	#387	—	3	1	no	—
485	#387	—	3	1	no	—
486	#387	—	3	1	no	—
487	#387	—	3	1	no	—
488	#387	—	3	1	no	—
489	#387	—	3	1	no	—
490	#387	—	3	1	no	—
491	#387	—	3	1	no	—
492	#387	—	3	1	no	—
493	#387	—	3	1	no	—
494	#387	—	3	1	no	—
495	#387	C₂×D₃	1	1	yes	characteristic
496	#387	C₂×D₃	1	1	yes	characteristic
497	#387	C₂×D₃	1	1	yes	characteristic
498	#384	—	3	1	no	—
499	#383	—	3	1	no	—
500	#383	—	3	1	no	—
501	#382	—	3	1	no	—
502	#382	—	3	1	no	—
503	C₄×C₄⋊C₄	—	3	1	no	—
504	C₄×C₄⋊C₄	—	3	1	no	—
505	C₄×C₄⋊C₄	—	3	1	no	—
506	C₄×C₄⋊C₄	—	3	1	no	—
507	C₄×C₄⋊C₄	—	3	1	no	—
508	C₄×C₄⋊C₄	—	3	1	no	—
509	C₄×C₄⋊C₄	—	3	1	no	—
510	C₄×C₄⋊C₄	—	3	1	no	—
511	C₄×C₄⋊C₄	—	3	1	no	—
512	C₄×C₄⋊C₄	—	3	1	no	—
513	C₄×C₄⋊C₄	—	3	1	no	—
514	C₄×C₄⋊C₄	—	3	1	no	—
515	C₄×C₄⋊C₄	—	3	1	no	—
516	C₄×C₄⋊C₄	—	3	1	no	—
517	C₄×C₄⋊C₄	—	3	1	no	—
518	C₄×C₄⋊C₄	—	3	1	no	—
519	C₄×C₄⋊C₄	—	3	1	no	—
520	C₄×C₄⋊C₄	—	3	1	no	—
521	C₄×C₄⋊C₄	—	3	1	no	—
522	C₄×C₄⋊C₄	—	3	1	no	—
523	C₄×C₄⋊C₄	—	3	1	no	—
524	C₄×C₄⋊C₄	—	3	1	no	—
525	C₄×C₄⋊C₄	—	3	1	no	—
526	C₄×C₄⋊C₄	C₂×D₃	1	1	yes	characteristic
527	C₄×C₂²⋊C₄	—	3	1	no	—
528	C₄×C₂²⋊C₄	—	3	1	no	—
529	C₄×C₂²⋊C₄	—	3	1	no	—
530	C₄×C₂²⋊C₄	—	3	1	no	—
531	C₄×C₂²⋊C₄	—	3	1	no	—
532	C₄×C₂²⋊C₄	—	3	1	no	—
533	C₄×C₂²⋊C₄	—	3	1	no	—
534	C₄×C₂²⋊C₄	—	3	1	no	—
535	C₄×C₂²⋊C₄	—	3	1	no	—
536	C₄×C₂²⋊C₄	—	3	1	no	—
537	#376	—	3	1	no	—
538	#376	—	3	1	no	—
539	C₄³	—	3	1	no	—
540	C₄³	—	3	1	no	—
541	C₄³	—	3	1	no	—
542	C₄³	—	3	1	no	—
543	C₄³	—	3	1	no	—
544	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
545	C₂³×D₃	C₂⁴	1	1	yes	characteristic
546	C₂×C₃×Q₈	—	2	2	no	—
547	C₂×C₃×Q₈	—	2	2	no	—
548	C₂×C₃×Q₈	—	2	2	no	—
549	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
550	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
551	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
552	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
553	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
554	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
555	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
556	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
557	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
558	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
559	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
560	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
561	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
562	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
563	C₂×#67	—	2	2	no	—
564	C₂×#67	—	2	2	no	—
565	C₂×#67	—	2	2	no	—
566	C₂²×Dic₃	—	2	2	no	—
567	C₂²×Dic₃	—	2	2	no	—
568	C₂²×Dic₃	—	2	2	no	—
569	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
570	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
571	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
572	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
573	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
574	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
575	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
576	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
577	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
578	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
579	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
580	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
581	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
582	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
583	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
584	C₂×C₄×D₃	—	2	2	no	—
585	C₂×C₄×D₃	—	2	2	no	—
586	C₂×C₄×D₃	—	2	2	no	—
587	C₂×Dic₆	—	2	2	no	—
588	C₂×Dic₆	—	2	2	no	—
589	C₂×Dic₆	—	2	2	no	—
590	C₂×Dic₆	—	2	2	no	—
591	C₂×Dic₆	—	2	2	no	—
592	C₂×Dic₆	#41	1	4	yes	—
593	C₃×C₄⋊C₄	—	2	2	no	—
594	C₃×C₄⋊C₄	—	2	2	no	—
595	C₃×C₄⋊C₄	—	2	2	no	—
596	C₃×C₄⋊C₄	—	2	2	no	—
597	C₃×C₄⋊C₄	—	2	2	no	—
598	C₃×C₄⋊C₄	—	2	2	no	—
599	C₃×C₄⋊C₄	—	2	2	no	—
600	C₃×C₄⋊C₄	—	2	2	no	—
601	C₃×C₄⋊C₄	—	2	2	no	—
602	C₃×C₄⋊C₄	#41	1	4	yes	—
603	C₃×C₂²⋊C₄	—	2	2	no	—
604	C₃×C₂²⋊C₄	—	2	2	no	—
605	C₃×C₂²⋊C₄	—	2	2	no	—
606	C₃×C₂²⋊C₄	—	2	2	no	—
607	C₃×C₂²⋊C₄	—	2	2	no	—
608	C₃×C₂²⋊C₄	—	2	2	no	—
609	C₃×C₂²⋊C₄	—	2	2	no	—
610	C₃×C₄²	—	2	2	no	—
611	C₃×C₄²	—	2	2	no	—
612	C₃×C₄²	—	2	2	no	—
613	C₃×C₄²	—	2	2	no	—
614	C₃×C₄²	—	2	2	no	—
615	#217	—	2	2	no	—
616	#217	—	2	2	no	—
617	#217	—	2	2	no	—
618	#217	—	4	1	no	—
619	#217	—	4	1	no	—
620	#217	—	4	1	no	—
621	(C₂×D₃)⋊C₄	—	2	2	no	—
622	(C₂×D₃)⋊C₄	—	2	2	no	—
623	(C₂×D₃)⋊C₄	—	2	2	no	—
624	(C₂×D₃)⋊C₄	—	2	2	no	—
625	(C₂×D₃)⋊C₄	—	2	2	no	—
626	(C₂×D₃)⋊C₄	—	2	2	no	—
627	(C₂×D₃)⋊C₄	—	2	2	no	—
628	(C₂×D₃)⋊C₄	—	2	2	no	—
629	(C₂×D₃)⋊C₄	—	2	2	no	—
630	(C₂×D₃)⋊C₄	—	2	2	no	—
631	(C₂×D₃)⋊C₄	—	4	1	no	—
632	(C₂×D₃)⋊C₄	—	4	1	no	—
633	(C₂×D₃)⋊C₄	—	4	1	no	—
634	C₄⋊Dic₃	—	2	2	no	—
635	C₄⋊Dic₃	—	2	2	no	—
636	C₄⋊Dic₃	—	2	2	no	—
637	C₄⋊Dic₃	—	2	2	no	—
638	C₄⋊Dic₃	—	2	2	no	—
639	C₄⋊Dic₃	—	2	2	no	—
640	C₄⋊Dic₃	—	2	2	no	—
641	C₄⋊Dic₃	—	2	2	no	—
642	C₄⋊Dic₃	—	2	2	no	—
643	C₄⋊Dic₃	—	2	2	no	—
644	C₄⋊Dic₃	—	4	1	no	—
645	Dic₃⋊C₄	—	2	2	no	—
646	Dic₃⋊C₄	—	2	2	no	—
647	Dic₃⋊C₄	—	2	2	no	—
648	Dic₃⋊C₄	—	2	2	no	—
649	Dic₃⋊C₄	—	2	2	no	—
650	Dic₃⋊C₄	—	2	2	no	—
651	Dic₃⋊C₄	—	2	2	no	—
652	Dic₃⋊C₄	—	2	2	no	—
653	Dic₃⋊C₄	—	2	2	no	—
654	Dic₃⋊C₄	—	2	2	no	—
655	Dic₃⋊C₄	—	2	2	no	—
656	Dic₃⋊C₄	—	2	2	no	—
657	Dic₃⋊C₄	—	2	2	no	—
658	Dic₃⋊C₄	—	2	2	no	—
659	Dic₃⋊C₄	—	4	1	no	—
660	Dic₃⋊C₄	—	4	1	no	—
661	Dic₃⋊C₄	—	4	1	no	—
662	C₄×Dic₃	—	2	2	no	—
663	C₄×Dic₃	—	2	2	no	—
664	C₄×Dic₃	—	2	2	no	—
665	C₄×Dic₃	—	2	2	no	—
666	C₄×Dic₃	—	2	2	no	—
667	C₄×Dic₃	—	2	2	no	—
668	C₄×Dic₃	—	2	2	no	—
669	C₄×Dic₃	—	2	2	no	—
670	C₄×Dic₃	—	2	2	no	—
671	C₄×Dic₃	—	2	2	no	—
672	C₄×Dic₃	—	2	2	no	—
673	C₄×Dic₃	—	2	2	no	—
674	C₄×Dic₃	—	2	2	no	—
675	C₄×Dic₃	—	2	2	no	—
676	C₄×Dic₃	—	2	2	no	—
677	C₄×Dic₃	—	2	2	no	—
678	C₄×Dic₃	—	2	2	no	—
679	C₄×Dic₃	—	2	2	no	—
680	C₄×Dic₃	—	2	2	no	—
681	C₄×Dic₃	—	2	2	no	—
682	C₄×Dic₃	—	4	1	no	—
683	C₄×Dic₃	—	4	1	no	—
684	C₄×Dic₃	—	4	1	no	—
685	C₄×Dic₃	—	4	1	no	—
686	C₄×Dic₃	—	4	1	no	—
687	C₄×Dic₃	#41	1	4	yes	—
688	C₄×Dic₃	#41	1	4	yes	—
689	C₄×Dic₃	#41	1	4	yes	—
690	C₂²×Q₈	—	3	1	no	—
691	C₂²×Q₈	—	3	1	no	—
692	C₂²×Q₈	C₂²×D₃	1	1	yes	characteristic
693	C₂²×D₄	—	3	1	no	—
694	C₂³×C₄	—	3	1	no	—
695	C₂³×C₄	—	3	1	no	—
696	C₄⋊Q₈	—	6	4	no	—
697	#126	—	2	4	no	—
698	#126	—	6	4	no	—
699	#124	—	6	4	no	—
700	#124	—	6	4	no	—
701	C₄×Q₈	—	2	4	no	—
702	C₄×Q₈	—	6	4	no	—
703	C₄×Q₈	—	6	4	no	—
704	C₄×Q₈	—	6	4	no	—
705	C₄×Q₈	—	6	4	no	—
706	C₄×Q₈	—	6	4	no	—
707	C₄×Q₈	—	6	4	no	—
708	C₄×D₄	—	6	4	no	—
709	#117	—	6	4	no	—
710	#117	—	6	4	no	—
711	C₂×C₄⋊C₄	—	3	1	no	—
712	C₂×C₄⋊C₄	—	3	1	no	—
713	C₂×C₄⋊C₄	—	3	1	no	—
714	C₂×C₄⋊C₄	—	3	1	no	—
715	C₂×C₄⋊C₄	—	3	1	no	—
716	C₂×C₄⋊C₄	—	3	1	no	—
717	C₂×C₄⋊C₄	—	3	1	no	—
718	C₂×C₄⋊C₄	—	3	1	no	—
719	C₂×C₄⋊C₄	—	3	1	no	—
720	C₂×C₄⋊C₄	—	3	1	no	—
721	C₂×C₄⋊C₄	—	3	1	no	—
722	C₂×C₄⋊C₄	—	3	1	no	—
723	C₂×C₄⋊C₄	—	3	1	no	—
724	C₂×C₄⋊C₄	—	3	1	no	—
725	C₂×C₄⋊C₄	—	3	1	no	—
726	C₂×C₄⋊C₄	—	3	1	no	—
727	C₂×C₄⋊C₄	—	3	1	no	—
728	C₂×C₄⋊C₄	—	3	1	no	—
729	C₂×C₄⋊C₄	—	3	1	no	—
730	C₂×C₄⋊C₄	—	3	1	no	—
731	C₂×C₄⋊C₄	—	3	1	no	—
732	C₂×C₄⋊C₄	—	3	1	no	—
733	C₂×C₄⋊C₄	—	3	1	no	—
734	C₂×C₄⋊C₄	—	3	1	no	—
735	C₂×C₄⋊C₄	—	3	1	no	—
736	C₂×C₄⋊C₄	—	3	1	no	—
737	C₂×C₄⋊C₄	—	3	1	no	—
738	C₂×C₄⋊C₄	—	3	1	no	—
739	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
740	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
741	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
742	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
743	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
744	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
745	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
746	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
747	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
748	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
749	C₂×C₂²⋊C₄	—	3	1	no	—
750	C₂×C₂²⋊C₄	—	3	1	no	—
751	C₂×C₂²⋊C₄	—	3	1	no	—
752	C₂×C₂²⋊C₄	—	3	1	no	—
753	C₂×C₂²⋊C₄	—	3	1	no	—
754	C₂×C₂²⋊C₄	—	3	1	no	—
755	C₂×C₂²⋊C₄	—	3	1	no	—
756	C₂×C₂²⋊C₄	—	3	1	no	—
757	C₂×C₂²⋊C₄	—	3	1	no	—
758	C₂×C₂²⋊C₄	—	3	1	no	—
759	C₂×C₂²⋊C₄	—	3	1	no	—
760	C₂×C₂²⋊C₄	—	3	1	no	—
761	C₂×C₂²⋊C₄	—	3	1	no	—
762	C₂×C₂²⋊C₄	—	3	1	no	—
763	C₂×C₂²⋊C₄	—	3	1	no	—
764	C₂×C₂²⋊C₄	—	3	1	no	—
765	C₂×C₂²⋊C₄	—	3	1	no	—
766	C₂×C₂²⋊C₄	—	3	1	no	—
767	C₂×C₂²⋊C₄	—	3	1	no	—
768	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
769	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
770	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
771	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
772	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
773	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
774	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
775	C₂×C₄²	—	3	1	no	—
776	C₂×C₄²	—	3	1	no	—
777	C₂×C₄²	—	3	1	no	—
778	C₂×C₄²	—	3	1	no	—
779	C₂×C₄²	—	3	1	no	—
780	C₂×C₄²	—	3	1	no	—
781	C₂×C₄²	—	3	1	no	—
782	C₂×C₄²	—	3	1	no	—
783	C₂×C₄²	—	3	1	no	—
784	C₂×C₄²	—	3	1	no	—
785	C₂×C₄²	—	3	1	no	—
786	C₂×C₄²	—	3	1	no	—
787	C₂×C₄²	—	3	1	no	—
788	C₂×C₄²	—	3	1	no	—
789	C₂×C₄²	—	3	1	no	—
790	C₂×C₄²	—	3	1	no	—
791	C₂×C₄²	—	3	1	no	—
792	C₂×C₄²	—	3	1	no	—
793	C₂×C₄²	—	3	1	no	—
794	C₂×C₄²	—	3	1	no	—
795	C₂×C₄²	—	3	1	no	—
796	C₂×C₄²	—	3	1	no	—
797	C₂×C₄²	—	3	1	no	—
798	C₂×C₄²	—	3	1	no	—
799	C₂×C₄²	—	3	1	no	—
800	C₂×C₄²	—	3	1	no	—
801	C₂×C₄²	—	3	1	no	—
802	C₂×C₄²	—	3	1	no	—
803	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
804	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
805	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
806	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
807	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
808	#95	—	3	1	no	—
809	#95	—	3	1	no	—
810	#95	—	3	1	no	—
811	#95	—	3	1	no	—
812	#95	—	3	1	no	—
813	#95	—	3	1	no	—
814	#95	—	3	1	no	—
815	#95	—	3	1	no	—
816	#95	—	3	1	no	—
817	#95	—	3	1	no	—
818	#95	—	3	1	no	—
819	#95	—	3	1	no	—
820	#95	—	3	1	no	—
821	#95	—	3	1	no	—
822	#95	—	3	1	no	—
823	#95	—	3	1	no	—
824	#95	—	3	1	no	—
825	#95	—	3	1	no	—
826	#95	—	3	1	no	—
827	#95	—	3	1	no	—
828	#95	—	3	1	no	—
829	#95	—	3	1	no	—
830	#95	—	3	1	no	—
831	#95	—	3	1	no	—
832	#95	—	3	1	no	—
833	#95	—	3	1	no	—
834	#95	—	3	1	no	—
835	#95	—	3	1	no	—
836	#95	—	3	1	no	—
837	#95	—	3	1	no	—
838	#95	—	3	1	no	—
839	#95	—	3	1	no	—
840	#95	—	3	1	no	—
841	#95	—	3	1	no	—
842	#95	—	3	1	no	—
843	#95	—	3	1	no	—
844	#95	—	3	1	no	—
845	#95	—	3	1	no	—
846	#95	—	3	1	no	—
847	#95	—	3	1	no	—
848	#95	C₂²×D₃	1	1	yes	characteristic
849	#95	C₂²×D₃	1	1	yes	characteristic
850	#95	C₂²×D₃	1	1	yes	characteristic
851	#95	C₂²×D₃	1	1	yes	characteristic
852	#95	C₂²×D₃	1	1	yes	characteristic
853	#95	C₂²×D₃	1	1	yes	characteristic
854	#95	C₂²×D₃	1	1	yes	characteristic
855	#95	C₂²×D₃	1	1	yes	characteristic
856	#95	C₂²×D₃	1	1	yes	characteristic
857	#95	C₂²×D₃	1	1	yes	characteristic
858	#95	C₂²×D₃	1	1	yes	characteristic
859	#95	C₂²×D₃	1	1	yes	characteristic
860	C₂³×C₃	—	2	1	no	—
861	C₂³×C₃	—	2	1	no	—
862	C₂³×C₃	—	2	1	no	—
863	C₂³×C₃	—	2	1	no	—
864	C₂³×C₃	—	2	1	no	—
865	C₂³×C₃	—	2	1	no	—
866	C₂³×C₃	—	2	1	no	—
867	C₂³×C₃	C₂⁵	1	1	yes	characteristic
868	C₂²×D₃	—	2	1	no	—
869	C₂²×D₃	—	2	1	no	—
870	C₂²×D₃	—	2	1	no	—
871	C₂²×D₃	—	2	1	no	—
872	C₂²×D₃	—	2	1	no	—
873	C₂²×D₃	—	2	1	no	—
874	C₂²×D₃	—	2	1	no	—
875	C₃×Q₈	—	2	8	no	—
876	C₂×C₃×C₄	—	2	1	no	—
877	C₂×C₃×C₄	—	2	1	no	—
878	C₂×C₃×C₄	—	2	1	no	—
879	C₂×C₃×C₄	—	2	1	no	—
880	C₂×C₃×C₄	—	2	1	no	—
881	C₂×C₃×C₄	—	2	1	no	—
882	C₂×C₃×C₄	—	2	1	no	—
883	C₂×C₃×C₄	—	2	1	no	—
884	C₂×C₃×C₄	—	2	1	no	—
885	C₂×C₃×C₄	—	2	1	no	—
886	C₂×C₃×C₄	—	2	1	no	—
887	C₂×C₃×C₄	—	2	1	no	—
888	C₂×C₃×C₄	—	2	1	no	—
889	C₂×C₃×C₄	—	2	1	no	—
890	C₂×C₃×C₄	—	2	1	no	—
891	C₂×C₃×C₄	—	2	1	no	—
892	C₂×C₃×C₄	—	2	1	no	—
893	C₂×C₃×C₄	—	2	1	no	—
894	C₂×C₃×C₄	—	2	1	no	—
895	C₂×C₃×C₄	—	2	1	no	—
896	C₂×C₃×C₄	—	2	1	no	—
897	C₂×C₃×C₄	—	2	1	no	—
898	C₂×C₃×C₄	—	2	1	no	—
899	C₂×C₃×C₄	—	2	1	no	—
900	C₂×C₃×C₄	—	2	1	no	—
901	C₂×C₃×C₄	—	2	1	no	—
902	C₂×C₃×C₄	—	2	1	no	—
903	C₂×C₃×C₄	—	2	1	no	—
904	C₂×C₃×C₄	—	2	1	no	—
905	C₂×C₃×C₄	—	2	1	no	—
906	C₂×C₃×C₄	—	2	1	no	—
907	C₂×C₃×C₄	—	2	1	no	—
908	C₂×C₃×C₄	—	2	1	no	—
909	C₂×C₃×C₄	—	2	1	no	—
910	C₂×C₃×C₄	—	2	1	no	—
911	C₂×C₃×C₄	C₂×#41	1	2	yes	—
912	C₂×C₃×C₄	C₂×#41	1	2	yes	—
913	C₂×C₃×C₄	C₂×#41	1	2	yes	—
914	C₂×C₃×C₄	C₂×#41	1	2	yes	—
915	C₂×C₃×C₄	C₂×#41	1	2	yes	—
916	C₂×C₃×C₄	C₂×#41	1	2	yes	—
917	C₂×C₃×C₄	C₂×#41	1	2	yes	—
918	#67	—	4	4	no	—
919	C₂×Dic₃	—	2	1	no	—
920	C₂×Dic₃	—	2	1	no	—
921	C₂×Dic₃	—	2	1	no	—
922	C₂×Dic₃	—	2	1	no	—
923	C₂×Dic₃	—	2	1	no	—
924	C₂×Dic₃	—	2	1	no	—
925	C₂×Dic₃	—	2	1	no	—
926	C₂×Dic₃	—	2	1	no	—
927	C₂×Dic₃	—	2	1	no	—
928	C₂×Dic₃	—	2	1	no	—
929	C₂×Dic₃	—	2	1	no	—
930	C₂×Dic₃	—	2	1	no	—
931	C₂×Dic₃	—	2	1	no	—
932	C₂×Dic₃	—	2	1	no	—
933	C₂×Dic₃	—	2	1	no	—
934	C₂×Dic₃	—	2	1	no	—
935	C₂×Dic₃	—	2	1	no	—
936	C₂×Dic₃	—	2	1	no	—
937	C₂×Dic₃	—	2	1	no	—
938	C₂×Dic₃	—	2	1	no	—
939	C₂×Dic₃	—	2	1	no	—
940	C₂×Dic₃	—	2	1	no	—
941	C₂×Dic₃	—	2	1	no	—
942	C₂×Dic₃	—	2	1	no	—
943	C₂×Dic₃	—	2	1	no	—
944	C₂×Dic₃	—	2	1	no	—
945	C₂×Dic₃	—	2	1	no	—
946	C₂×Dic₃	—	2	1	no	—
947	C₂×Dic₃	—	2	1	no	—
948	C₂×Dic₃	—	2	1	no	—
949	C₂×Dic₃	—	2	1	no	—
950	C₂×Dic₃	—	2	1	no	—
951	C₂×Dic₃	—	2	1	no	—
952	C₂×Dic₃	—	2	1	no	—
953	C₂×Dic₃	—	2	1	no	—
954	C₂×Dic₃	—	2	1	no	—
955	C₂×Dic₃	—	4	4	no	—
956	C₂×Dic₃	C₂×#41	1	2	yes	—
957	C₂×Dic₃	C₂×#41	1	2	yes	—
958	C₂×Dic₃	C₂×#41	1	2	yes	—
959	C₂×Dic₃	C₂×#41	1	2	yes	—
960	C₂×Dic₃	C₂×#41	1	2	yes	—
961	C₂×Dic₃	C₂×#41	1	2	yes	—
962	C₂×Dic₃	C₂×#41	1	2	yes	—
963	C₂×Dic₃	C₂×#41	1	2	yes	—
964	C₂×Dic₃	2₋¹⁺⁴	1	2	yes	—
965	C₄×D₃	—	4	4	no	—
966	Dic₆	—	2	8	no	—
967	Dic₆	—	4	4	no	—
968	C₂⁴	—	3	1	no	—
969	C₂⁴	C₂³×D₃	1	1	yes	characteristic
970	C₂×Q₈	—	2	2	no	—
971	C₂×Q₈	—	2	2	no	—
972	C₂×Q₈	—	2	2	no	—
973	C₂×Q₈	—	3	4	no	—
974	C₂×Q₈	—	6	2	no	—
975	C₂×Q₈	—	6	2	no	—
976	C₂×Q₈	—	6	2	no	—
977	C₂×Q₈	—	6	2	no	—
978	C₂×Q₈	—	6	2	no	—
979	C₂×D₄	—	6	2	no	—
980	C₂×D₄	—	6	2	no	—
981	C₂×D₄	—	6	2	no	—
982	C₂²×C₄	—	3	1	no	—
983	C₂²×C₄	—	3	1	no	—
984	C₂²×C₄	—	3	1	no	—
985	C₂²×C₄	—	3	1	no	—
986	C₂²×C₄	—	3	1	no	—
987	C₂²×C₄	—	3	1	no	—
988	C₂²×C₄	—	3	1	no	—
989	C₂²×C₄	—	3	1	no	—
990	C₂²×C₄	—	3	1	no	—
991	C₂²×C₄	—	3	1	no	—
992	C₂²×C₄	—	3	1	no	—
993	C₂²×C₄	—	3	1	no	—
994	C₂²×C₄	—	3	1	no	—
995	C₂²×C₄	—	3	1	no	—
996	C₂²×C₄	—	3	1	no	—
997	C₂²×C₄	—	6	2	no	—
998	C₂²×C₄	—	6	2	no	—
999	C₂²×C₄	—	6	2	no	—
1000	C₂²×C₄	—	6	2	no	—
1001	C₂²×C₄	—	6	2	no	—
1002	C₂²×C₄	—	6	2	no	—
1003	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1004	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1005	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1006	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1007	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1008	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1009	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1010	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1011	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1012	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1013	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1014	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1015	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1016	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1017	C₄⋊C₄	—	2	2	no	—
1018	C₄⋊C₄	—	2	2	no	—
1019	C₄⋊C₄	—	2	2	no	—
1020	C₄⋊C₄	—	2	2	no	—
1021	C₄⋊C₄	—	2	2	no	—
1022	C₄⋊C₄	—	2	2	no	—
1023	C₄⋊C₄	—	2	2	no	—
1024	C₄⋊C₄	—	2	2	no	—
1025	C₄⋊C₄	—	2	2	no	—
1026	C₄⋊C₄	—	6	2	no	—
1027	C₄⋊C₄	—	6	2	no	—
1028	C₄⋊C₄	—	6	2	no	—
1029	C₄⋊C₄	—	6	2	no	—
1030	C₄⋊C₄	—	6	2	no	—
1031	C₄⋊C₄	—	6	2	no	—
1032	C₄⋊C₄	—	6	2	no	—
1033	C₄⋊C₄	—	6	2	no	—
1034	C₄⋊C₄	—	6	2	no	—
1035	C₄⋊C₄	—	6	2	no	—
1036	C₄⋊C₄	—	6	2	no	—
1037	C₄⋊C₄	—	6	2	no	—
1038	C₄⋊C₄	—	6	2	no	—
1039	C₄⋊C₄	—	6	2	no	—
1040	C₄⋊C₄	—	6	2	no	—
1041	C₄⋊C₄	—	6	2	no	—
1042	C₄⋊C₄	—	6	2	no	—
1043	C₄⋊C₄	—	6	2	no	—
1044	C₄⋊C₄	—	6	2	no	—
1045	C₄⋊C₄	—	6	2	no	—
1046	C₄⋊C₄	—	6	2	no	—
1047	C₄⋊C₄	—	6	2	no	—
1048	C₄⋊C₄	—	6	2	no	—
1049	C₄⋊C₄	—	6	2	no	—
1050	C₄⋊C₄	—	12	1	no	—
1051	C₄⋊C₄	—	12	1	no	—
1052	C₄⋊C₄	—	12	1	no	—
1053	C₄⋊C₄	—	12	1	no	—
1054	C₄⋊C₄	#237	1	4	yes	—
1055	C₂²⋊C₄	—	2	2	no	—
1056	C₂²⋊C₄	—	2	2	no	—
1057	C₂²⋊C₄	—	2	2	no	—
1058	C₂²⋊C₄	—	2	2	no	—
1059	C₂²⋊C₄	—	2	2	no	—
1060	C₂²⋊C₄	—	2	2	no	—
1061	C₂²⋊C₄	—	2	2	no	—
1062	C₂²⋊C₄	—	6	2	no	—
1063	C₂²⋊C₄	—	6	2	no	—
1064	C₂²⋊C₄	—	6	2	no	—
1065	C₂²⋊C₄	—	6	2	no	—
1066	C₂²⋊C₄	—	6	2	no	—
1067	C₂²⋊C₄	—	6	2	no	—
1068	C₂²⋊C₄	—	6	2	no	—
1069	C₂²⋊C₄	—	6	2	no	—
1070	C₂²⋊C₄	—	6	2	no	—
1071	C₂²⋊C₄	—	6	2	no	—
1072	C₂²⋊C₄	—	6	2	no	—
1073	C₂²⋊C₄	—	6	2	no	—
1074	C₂²⋊C₄	—	6	2	no	—
1075	C₂²⋊C₄	—	12	1	no	—
1076	C₂²⋊C₄	—	12	1	no	—
1077	C₂²⋊C₄	—	12	1	no	—
1078	C₂²⋊C₄	—	12	1	no	—
1079	C₂²⋊C₄	—	12	1	no	—
1080	C₂²⋊C₄	—	12	1	no	—
1081	C₄²	—	2	2	no	—
1082	C₄²	—	2	2	no	—
1083	C₄²	—	2	2	no	—
1084	C₄²	—	2	2	no	—
1085	C₄²	—	2	2	no	—
1086	C₄²	—	3	4	no	—
1087	C₄²	—	3	4	no	—
1088	C₄²	—	3	4	no	—
1089	C₄²	—	6	2	no	—
1090	C₄²	—	6	2	no	—
1091	C₄²	—	6	2	no	—
1092	C₄²	—	6	2	no	—
1093	C₄²	—	6	2	no	—
1094	C₄²	—	6	2	no	—
1095	C₄²	—	6	2	no	—
1096	C₄²	—	6	2	no	—
1097	C₄²	—	6	2	no	—
1098	C₄²	—	6	2	no	—
1099	C₄²	—	6	2	no	—
1100	C₄²	—	6	2	no	—
1101	C₄²	—	6	2	no	—
1102	C₄²	—	6	2	no	—
1103	C₄²	—	6	2	no	—
1104	C₄²	—	6	2	no	—
1105	C₄²	—	6	2	no	—
1106	C₄²	—	6	2	no	—
1107	C₄²	—	6	2	no	—
1108	C₄²	—	6	2	no	—
1109	C₄²	—	12	1	no	—
1110	C₄²	—	12	1	no	—
1111	C₄²	—	12	1	no	—
1112	C₄²	—	12	1	no	—
1113	C₄²	—	12	1	no	—
1114	C₂²×C₃	—	4	1	no	—
1115	C₂²×C₃	—	4	1	no	—
1116	C₂²×C₃	—	4	1	no	—
1117	C₂²×C₃	—	4	1	no	—
1118	C₂²×C₃	—	4	1	no	—
1119	C₂²×C₃	—	4	1	no	—
1120	C₂²×C₃	—	4	1	no	—
1121	C₂²×C₃	C₂²×#41	1	1	yes	characteristic
1122	C₂²×C₃	C₂²×#41	1	1	yes	characteristic
1123	C₂²×C₃	C₂²×#41	1	1	yes	characteristic
1124	C₂²×C₃	C₂²×#41	1	1	yes	characteristic
1125	C₂²×C₃	C₂²×#41	1	1	yes	characteristic
1126	C₂²×C₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1127	C₂²×C₃	#585	1	1	yes	characteristic
1128	C₂×D₃	—	4	1	no	—
1129	C₂×D₃	—	4	1	no	—
1130	C₂×D₃	—	4	1	no	—
1131	C₂×D₃	—	4	1	no	—
1132	C₂×D₃	—	4	1	no	—
1133	C₂×D₃	—	4	1	no	—
1134	C₂×D₃	—	4	1	no	—
1135	C₃×C₄	—	2	2	no	—
1136	C₃×C₄	—	2	2	no	—
1137	C₃×C₄	—	2	2	no	—
1138	C₃×C₄	—	2	2	no	—
1139	C₃×C₄	—	2	2	no	—
1140	C₃×C₄	—	2	2	no	—
1141	C₃×C₄	—	2	2	no	—
1142	C₃×C₄	—	4	1	no	—
1143	C₃×C₄	—	4	1	no	—
1144	C₃×C₄	—	4	1	no	—
1145	C₃×C₄	—	4	1	no	—
1146	C₃×C₄	—	4	1	no	—
1147	C₃×C₄	—	4	1	no	—
1148	C₃×C₄	—	4	1	no	—
1149	Dic₃	—	2	2	no	—
1150	Dic₃	—	2	2	no	—
1151	Dic₃	—	2	2	no	—
1152	Dic₃	—	4	1	no	—
1153	Dic₃	—	4	1	no	—
1154	Dic₃	—	4	1	no	—
1155	Dic₃	—	4	1	no	—
1156	Dic₃	—	4	1	no	—
1157	Dic₃	—	4	1	no	—
1158	Dic₃	—	4	1	no	—
1159	Dic₃	—	4	1	no	—
1160	Dic₃	—	4	1	no	—
1161	Dic₃	—	4	1	no	—
1162	Dic₃	#529	1	4	yes	—
1163	Dic₃	#556	1	4	yes	—
1164	C₂³	—	2	1	no	—
1165	C₂³	—	2	1	no	—
1166	C₂³	—	2	1	no	—
1167	C₂³	—	2	1	no	—
1168	C₂³	—	2	1	no	—
1169	C₂³	—	2	1	no	—
1170	C₂³	—	2	1	no	—
1171	C₂³	—	6	1	no	—
1172	C₂³	—	6	1	no	—
1173	C₂³	—	6	1	no	—
1174	C₂³	—	6	1	no	—
1175	C₂³	—	6	1	no	—
1176	C₂³	—	6	1	no	—
1177	C₂³	—	6	1	no	—
1178	C₂³	C₂⁴×D₃	1	1	yes	characteristic
1179	Q₈	—	2	8	no	—
1180	Q₈	—	6	8	no	—
1181	Q₈	—	12	4	no	—
1182	D₄	—	12	4	no	—
1183	C₂×C₄	—	2	1	no	—
1184	C₂×C₄	—	2	1	no	—
1185	C₂×C₄	—	2	1	no	—
1186	C₂×C₄	—	2	1	no	—
1187	C₂×C₄	—	2	1	no	—
1188	C₂×C₄	—	2	1	no	—
1189	C₂×C₄	—	2	1	no	—
1190	C₂×C₄	—	2	1	no	—
1191	C₂×C₄	—	2	1	no	—
1192	C₂×C₄	—	2	1	no	—
1193	C₂×C₄	—	2	1	no	—
1194	C₂×C₄	—	2	1	no	—
1195	C₂×C₄	—	2	1	no	—
1196	C₂×C₄	—	2	1	no	—
1197	C₂×C₄	—	2	1	no	—
1198	C₂×C₄	—	2	1	no	—
1199	C₂×C₄	—	2	1	no	—
1200	C₂×C₄	—	2	1	no	—
1201	C₂×C₄	—	2	1	no	—
1202	C₂×C₄	—	2	1	no	—
1203	C₂×C₄	—	2	1	no	—
1204	C₂×C₄	—	2	1	no	—
1205	C₂×C₄	—	2	1	no	—
1206	C₂×C₄	—	2	1	no	—
1207	C₂×C₄	—	2	1	no	—
1208	C₂×C₄	—	2	1	no	—
1209	C₂×C₄	—	2	1	no	—
1210	C₂×C₄	—	2	1	no	—
1211	C₂×C₄	—	2	1	no	—
1212	C₂×C₄	—	2	1	no	—
1213	C₂×C₄	—	2	1	no	—
1214	C₂×C₄	—	2	1	no	—
1215	C₂×C₄	—	2	1	no	—
1216	C₂×C₄	—	2	1	no	—
1217	C₂×C₄	—	2	1	no	—
1218	C₂×C₄	—	3	2	no	—
1219	C₂×C₄	—	3	2	no	—
1220	C₂×C₄	—	3	2	no	—
1221	C₂×C₄	—	3	2	no	—
1222	C₂×C₄	—	3	2	no	—
1223	C₂×C₄	—	3	2	no	—
1224	C₂×C₄	—	3	2	no	—
1225	C₂×C₄	—	3	2	no	—
1226	C₂×C₄	—	3	2	no	—
1227	C₂×C₄	—	6	1	no	—
1228	C₂×C₄	—	6	1	no	—
1229	C₂×C₄	—	6	1	no	—
1230	C₂×C₄	—	6	1	no	—
1231	C₂×C₄	—	6	1	no	—
1232	C₂×C₄	—	6	1	no	—
1233	C₂×C₄	—	6	1	no	—
1234	C₂×C₄	—	6	1	no	—
1235	C₂×C₄	—	6	1	no	—
1236	C₂×C₄	—	6	1	no	—
1237	C₂×C₄	—	6	1	no	—
1238	C₂×C₄	—	6	1	no	—
1239	C₂×C₄	—	6	1	no	—
1240	C₂×C₄	—	6	1	no	—
1241	C₂×C₄	—	6	1	no	—
1242	C₂×C₄	—	6	1	no	—
1243	C₂×C₄	—	6	1	no	—
1244	C₂×C₄	—	6	1	no	—
1245	C₂×C₄	—	6	1	no	—
1246	C₂×C₄	—	6	1	no	—
1247	C₂×C₄	—	6	1	no	—
1248	C₂×C₄	—	6	1	no	—
1249	C₂×C₄	—	6	1	no	—
1250	C₂×C₄	—	6	1	no	—
1251	C₂×C₄	—	6	1	no	—
1252	C₂×C₄	—	6	1	no	—
1253	C₂×C₄	—	6	1	no	—
1254	C₂×C₄	—	6	1	no	—
1255	C₂×C₄	—	6	1	no	—
1256	C₂×C₄	—	6	1	no	—
1257	C₂×C₄	—	6	1	no	—
1258	C₂×C₄	—	6	1	no	—
1259	C₂×C₄	—	6	1	no	—
1260	C₂×C₄	—	6	1	no	—
1261	C₂×C₄	—	6	1	no	—
1262	C₂×C₄	—	6	1	no	—
1263	C₂×C₄	—	12	4	no	—
1264	C₂×C₄	—	12	4	no	—
1265	C₂×C₄	C₂×#237	1	2	yes	—
1266	C₂×C₄	C₂×#237	1	2	yes	—
1267	C₂×C₄	C₂×#237	1	2	yes	—
1268	C₂×C₄	D₃×#41	1	2	yes	—
1269	C₂×C₄	D₃×#41	1	2	yes	—
1270	C₂×C₄	D₃×#41	1	2	yes	—
1271	C₂×C₄	D₃×#41	1	2	yes	—
1272	C₂×C₃	—	8	1	no	—
1273	C₂×C₃	C₂×#529	1	1	yes	characteristic
1274	C₂×C₃	#3444	1	1	yes	characteristic
1275	C₂×C₃	#3461	1	1	yes	characteristic
1276	C₂×C₃	C₂×#556	1	1	yes	characteristic
1277	C₂×C₃	#3480	1	1	yes	characteristic
1278	C₂×C₃	#3480	1	1	yes	characteristic
1279	C₂×C₃	#3482	1	1	yes	characteristic
1280	D₃	—	8	1	no	—
1281	C₂²	—	4	1	no	—
1282	C₂²	—	4	1	no	—
1283	C₂²	—	4	1	no	—
1284	C₂²	—	4	1	no	—
1285	C₂²	—	4	1	no	—
1286	C₂²	—	4	1	no	—
1287	C₂²	—	4	1	no	—
1288	C₂²	—	12	1	no	—
1289	C₂²	—	12	1	no	—
1290	C₂²	—	12	1	no	—
1291	C₂²	—	12	1	no	—
1292	C₂²	—	12	1	no	—
1293	C₂²	—	12	1	no	—
1294	C₂²	—	12	1	no	—
1295	C₂²	C₂²×#237	1	1	yes	characteristic
1296	C₂²	C₂×D₃×#41	1	1	yes	characteristic
1297	C₂²	C₂×D₃×#41	1	1	yes	characteristic
1298	C₂²	C₂×D₃×#41	1	1	yes	characteristic
1299	C₂²	C₂×D₃×#41	1	1	yes	characteristic
1300	C₂²	D₃×2₋¹⁺⁴	1	1	yes	characteristic
1301	C₂²	#5968	1	1	yes	characteristic
1302	C₄	—	2	2	no	—
1303	C₄	—	2	2	no	—
1304	C₄	—	2	2	no	—
1305	C₄	—	2	2	no	—
1306	C₄	—	2	2	no	—
1307	C₄	—	2	2	no	—
1308	C₄	—	2	2	no	—
1309	C₄	—	3	4	no	—
1310	C₄	—	3	4	no	—
1311	C₄	—	4	1	no	—
1312	C₄	—	4	1	no	—
1313	C₄	—	4	1	no	—
1314	C₄	—	4	1	no	—
1315	C₄	—	4	1	no	—
1316	C₄	—	4	1	no	—
1317	C₄	—	4	1	no	—
1318	C₄	—	6	2	no	—
1319	C₄	—	6	2	no	—
1320	C₄	—	6	2	no	—
1321	C₄	—	12	1	no	—
1322	C₄	—	12	1	no	—
1323	C₄	—	12	1	no	—
1324	C₄	—	12	1	no	—
1325	C₄	—	12	1	no	—
1326	C₄	—	12	1	no	—
1327	C₄	—	12	1	no	—
1328	C₄	—	12	1	no	—
1329	C₄	—	12	1	no	—
1330	C₄	—	12	1	no	—
1331	C₃	#34902	1	1	yes	characteristic, complemented, Sylow
1332	C₂	—	8	1	no	—
1333	C₂	—	24	1	no	—
1334	C₂	#86018	1	1	yes	characteristic
1335	C₂	D₃×#529	1	1	yes	characteristic
1336	C₂	#86496	1	1	yes	characteristic
1337	C₂	#86676	1	1	yes	characteristic
1338	C₂	#86711	1	1	yes	characteristic
1339	C₂	#86980	1	1	yes	characteristic
1340	C₂	D₃×#556	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₃
commutator, socle, cosocle	C₂³×C₃	C₂⁵
Fitting	C₃×#2469	C₂
prime radical	C₂²×#67	C₂³
hypercenter	#2469	D₃
hypocenter	C₃	#34902
LCS	G ▷ C₂³×C₃ ▷ C₃
UCS	C₁ ◁ C₂³ ◁ #2469

Complements

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

N	H ≅ G/N	type
1. C₃×#2469	C₂	semidirect
3. Dic₃×#126	C₂	semidirect
4. #82473	C₂	semidirect
5. C₄×Q₈×Dic₃	C₂	semidirect
6. #78182	C₂	semidirect
7. #78132	C₂	semidirect
9. #77283	C₂	semidirect
10. #77191	C₂	semidirect
11. #77170	C₂	semidirect
13. #76778	C₂	semidirect
14. #76094	C₂	semidirect
15. #75967	C₂	semidirect
16. #75633	C₂	semidirect
17. #75624	C₂	semidirect
18. #75570	C₂	semidirect
22. #75451	C₂	semidirect
24. #75115	C₂	semidirect
25. #75032	C₂	semidirect
26. #74986	C₂	semidirect
27. #74942	C₂	semidirect
28. #74939	C₂	semidirect
29. #74938	C₂	semidirect
30. #73704	C₂	semidirect
31. C₄×#887	C₂	semidirect
201. #2469	D₃	semidirect
1331. C₃	#34902	semidirect

Maximal subgroups

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

subgroup	index
C₃×#2469	2
#83084	2
Dic₃×#126	2
#82473	2
C₄×Q₈×Dic₃	2
#78182	2
#78132	2
#77315	2
#77283	2
#77191	2
#77170	2
#76804	2
#76778	2
#76094	2
#75967	2
#75633	2
#75624	2
#75570	2
#75501	2
#75454	2
#75451	2
#75450	2
#75115	2
#75032	2
#74986	2
#74942	2
#74939	2
#74938	2
#73704	2
C₄×#887	2
#34902	3