Subgroups — #11235929

Order 768.

1790 conjugacy classes of subgroups.

The subgroup lattice has 1456 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×#2522	C₂	1	1	yes	maximal, characteristic, complemented
2	#78116	C₂	1	1	yes	maximal, characteristic
3	#78080	C₂	1	1	yes	maximal, characteristic, complemented
4	#78015	C₂	1	1	yes	maximal, characteristic, complemented
5	#78006	C₂	1	1	yes	maximal, characteristic, complemented
6	#77993	C₂	1	1	yes	maximal, characteristic, complemented
7	#77972	C₂	1	1	yes	maximal, characteristic, complemented
8	#77446	C₂	1	1	yes	maximal, characteristic, complemented
9	#77442	C₂	1	1	yes	maximal, characteristic, complemented
10	#76264	C₂	1	1	yes	maximal, characteristic, complemented
11	#76246	C₂	1	1	yes	maximal, characteristic, complemented
12	#76207	C₂	1	1	yes	maximal, characteristic, complemented
13	#76022	C₂	1	1	yes	maximal, characteristic, complemented
14	#75936	C₂	1	1	yes	maximal, characteristic, complemented
15	#75923	C₂	1	1	yes	maximal, characteristic
16	#75774	C₂	1	1	yes	maximal, characteristic, complemented
17	#75754	C₂	1	1	yes	maximal, characteristic, complemented
18	#75401	C₂	1	1	yes	maximal, characteristic, complemented
19	#75371	C₂	1	1	yes	maximal, characteristic, complemented
20	#75357	C₂	1	1	yes	maximal, characteristic, complemented
21	#75325	C₂	1	1	yes	maximal, characteristic, complemented
22	#75314	C₂	1	1	yes	maximal, characteristic, complemented
23	#75016	C₂	1	1	yes	maximal, characteristic, complemented
24	#74656	C₂	1	1	yes	maximal, characteristic
25	#74433	C₂	1	1	yes	maximal, characteristic, complemented
26	#74049	C₂	1	1	yes	maximal, characteristic, complemented
27	#73948	C₂	1	1	yes	maximal, characteristic, complemented
28	#73813	C₂	1	1	yes	maximal, characteristic, complemented
29	#73794	C₂	1	1	yes	maximal, characteristic, complemented
30	#73561	C₂	1	1	yes	maximal, characteristic, complemented
31	#73538	C₂	1	1	yes	maximal, characteristic, complemented
32	#45466	—	3	1	no	maximal, Sylow
33	C₂³×C₄×D₃	C₂²	1	1	yes	characteristic
34	C₂×#924	C₂²	1	1	yes	characteristic
35	C₂×#898	C₂²	1	1	yes	characteristic
36	C₂×#897	C₂²	1	1	yes	characteristic
37	C₂×#897	C₂²	1	1	yes	characteristic
38	C₂×#894	C₂²	1	1	yes	characteristic
39	C₂×#894	C₂²	1	1	yes	characteristic
40	C₂×#894	C₂²	1	1	yes	characteristic
41	C₂×#887	C₂²	1	1	yes	characteristic, complemented
42	C₂×#882	C₂²	1	1	yes	characteristic
43	C₂×#876	C₂²	1	1	yes	characteristic, complemented
44	C₂×#872	C₂²	1	1	yes	characteristic
45	C₂×#872	C₂²	1	1	yes	characteristic
46	C₃×#399	C₂²	1	1	yes	characteristic
47	C₃×#398	C₂²	1	1	yes	characteristic, complemented
48	C₃×#398	C₂²	1	1	yes	characteristic, complemented
49	C₃×#396	C₂²	1	1	yes	characteristic
50	C₃×#389	C₂²	1	1	yes	characteristic, complemented
51	C₃×#389	C₂²	1	1	yes	characteristic, complemented
52	C₃×#388	C₂²	1	1	yes	characteristic
53	C₃×#388	C₂²	1	1	yes	characteristic
54	C₃×#387	C₂²	1	1	yes	characteristic, complemented
55	C₃×#387	C₂²	1	1	yes	characteristic, complemented
56	C₃×#387	C₂²	1	1	yes	characteristic, complemented
57	C₃×#385	C₂²	1	1	yes	characteristic
58	C₃×#380	C₂²	1	1	yes	characteristic
59	C₃×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
60	C₃×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
61	#5213	C₂²	1	1	yes	characteristic
62	C₄×#217	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	#4994	C₂²	1	1	yes	characteristic, complemented
67	#4994	C₂²	1	1	yes	characteristic, complemented
68	#4993	C₂²	1	1	yes	characteristic
69	#4992	C₂²	1	1	yes	characteristic
70	#4992	C₂²	1	1	yes	characteristic
71	#4992	C₂²	1	1	yes	characteristic
72	#4992	C₂²	1	1	yes	characteristic, complemented
73	#4991	C₂²	1	1	yes	characteristic
74	#4991	C₂²	1	1	yes	characteristic
75	#4990	C₂²	1	1	yes	characteristic
76	#4990	C₂²	1	1	yes	characteristic
77	#4990	C₂²	1	1	yes	characteristic
78	#4990	C₂²	1	1	yes	characteristic
79	#4989	C₂²	1	1	yes	characteristic
80	#4989	C₂²	1	1	yes	characteristic
81	#4989	C₂²	1	1	yes	characteristic, complemented
82	#4989	C₂²	1	1	yes	characteristic, complemented
83	#4988	C₂²	1	1	yes	characteristic
84	#4987	C₂²	1	1	yes	characteristic
85	#4987	C₂²	1	1	yes	characteristic
86	#4987	C₂²	1	1	yes	characteristic, complemented
87	#4986	C₂²	1	1	yes	characteristic, complemented
88	#4986	C₂²	1	1	yes	characteristic, complemented
89	#4985	C₂²	1	1	yes	characteristic, complemented
90	#4985	C₂²	1	1	yes	characteristic, complemented
91	#4985	C₂²	1	1	yes	characteristic, complemented
92	#4982	C₂²	1	1	yes	characteristic, complemented
93	#4981	C₂²	1	1	yes	characteristic, complemented
94	#4981	C₂²	1	1	yes	characteristic, complemented
95	#4980	C₂²	1	1	yes	characteristic, complemented
96	#4980	C₂²	1	1	yes	characteristic, complemented
97	#4980	C₂²	1	1	yes	characteristic, complemented
98	#4980	C₂²	1	1	yes	characteristic, complemented
99	#4979	C₂²	1	1	yes	characteristic, complemented
100	#4979	C₂²	1	1	yes	characteristic, complemented
101	#4976	C₂²	1	1	yes	characteristic, complemented
102	#4976	C₂²	1	1	yes	characteristic, complemented
103	#4972	C₂²	1	1	yes	characteristic, complemented
104	#4961	C₂²	1	1	yes	characteristic
105	#4959	C₂²	1	1	yes	characteristic
106	#4958	C₂²	1	1	yes	characteristic
107	#4957	C₂²	1	1	yes	characteristic
108	#4956	C₂²	1	1	yes	characteristic
109	#4955	C₂²	1	1	yes	characteristic
110	#4955	C₂²	1	1	yes	characteristic
111	#4955	C₂²	1	1	yes	characteristic
112	#4955	C₂²	1	1	yes	characteristic
113	#4955	C₂²	1	1	yes	characteristic
114	#4953	C₂²	1	1	yes	characteristic
115	#4952	C₂²	1	1	yes	characteristic
116	#4950	C₂²	1	1	yes	characteristic
117	#4950	C₂²	1	1	yes	characteristic
118	#4948	C₂²	1	1	yes	characteristic
119	#4947	C₂²	1	1	yes	characteristic
120	#4946	C₂²	1	1	yes	characteristic
121	#4945	C₂²	1	1	yes	characteristic
122	#4945	C₂²	1	1	yes	characteristic
123	#4944	C₂²	1	1	yes	characteristic
124	#4944	C₂²	1	1	yes	characteristic
125	#4942	C₂²	1	1	yes	characteristic
126	#4942	C₂²	1	1	yes	characteristic
127	#4940	C₂²	1	1	yes	characteristic
128	#4940	C₂²	1	1	yes	characteristic
129	#4940	C₂²	1	1	yes	characteristic
130	#4940	C₂²	1	1	yes	characteristic, complemented
131	#4940	C₂²	1	1	yes	characteristic, complemented
132	#4939	C₂²	1	1	yes	characteristic
133	C₄×(C₂×D₃)⋊C₄	C₂²	1	1	yes	characteristic
134	C₄×(C₂×D₃)⋊C₄	C₂²	1	1	yes	characteristic
135	#4937	C₂²	1	1	yes	characteristic, complemented
136	#4936	C₂²	1	1	yes	characteristic, complemented
137	#4933	C₂²	1	1	yes	characteristic, complemented
138	C₄×Dic₃⋊C₄	C₂²	1	1	yes	characteristic, complemented
139	#4928	C₂²	1	1	yes	characteristic, complemented
140	#4675	C₂²	1	1	yes	characteristic
141	#4675	C₂²	1	1	yes	characteristic
142	#4675	C₂²	1	1	yes	characteristic
143	#4675	C₂²	1	1	yes	characteristic, complemented
144	#4673	C₂²	1	1	yes	characteristic
145	#4673	C₂²	1	1	yes	characteristic
146	#4673	C₂²	1	1	yes	characteristic, complemented
147	#4673	C₂²	1	1	yes	characteristic, complemented
148	#4672	C₂²	1	1	yes	characteristic
149	#4672	C₂²	1	1	yes	characteristic
150	#4670	C₂²	1	1	yes	characteristic
151	#4670	C₂²	1	1	yes	characteristic, complemented
152	#4670	C₂²	1	1	yes	characteristic, complemented
153	#4670	C₂²	1	1	yes	characteristic, complemented
154	#4669	C₂²	1	1	yes	characteristic
155	#4669	C₂²	1	1	yes	characteristic
156	#4669	C₂²	1	1	yes	characteristic
157	#4668	C₂²	1	1	yes	characteristic
158	#4668	C₂²	1	1	yes	characteristic
159	#4668	C₂²	1	1	yes	characteristic
160	#4668	C₂²	1	1	yes	characteristic
161	#4667	C₂²	1	1	yes	characteristic
162	#4667	C₂²	1	1	yes	characteristic
163	#4666	C₂²	1	1	yes	characteristic, complemented
164	#4665	C₂²	1	1	yes	characteristic
165	#4665	C₂²	1	1	yes	characteristic
166	#4665	C₂²	1	1	yes	characteristic
167	#4664	C₂²	1	1	yes	characteristic
168	#4664	C₂²	1	1	yes	characteristic
169	#4664	C₂²	1	1	yes	characteristic
170	#4664	C₂²	1	1	yes	characteristic
171	#4657	C₂²	1	1	yes	characteristic, complemented
172	#4657	C₂²	1	1	yes	characteristic, complemented
173	#4657	C₂²	1	1	yes	characteristic, complemented
174	#4657	C₂²	1	1	yes	characteristic, complemented
175	#4657	C₂²	1	1	yes	characteristic, complemented
176	#4656	C₂²	1	1	yes	characteristic, complemented
177	#4655	C₂²	1	1	yes	characteristic, complemented
178	#4654	C₂²	1	1	yes	characteristic, complemented
179	#4653	C₂²	1	1	yes	characteristic, complemented
180	#4653	C₂²	1	1	yes	characteristic, complemented
181	#4653	C₂²	1	1	yes	characteristic, complemented
182	#4652	C₂²	1	1	yes	characteristic, complemented
183	#4652	C₂²	1	1	yes	characteristic, complemented
184	#4651	C₂²	1	1	yes	characteristic, complemented
185	#4650	C₂²	1	1	yes	characteristic, complemented
186	#4646	C₂²	1	1	yes	characteristic, complemented
187	#4646	C₂²	1	1	yes	characteristic, complemented
188	#2849	—	3	1	no	—
189	#2848	—	3	1	no	—
190	#2841	—	3	1	no	—
191	#2814	—	3	1	no	—
192	#2784	—	3	1	no	—
193	#2781	—	3	1	no	—
194	#2770	—	3	1	no	—
195	#2768	—	3	1	no	—
196	#2744	—	3	1	no	—
197	#2737	—	3	1	no	—
198	#2736	—	3	1	no	—
199	#2735	—	3	1	no	—
200	#2698	—	3	1	no	—
201	#2697	—	3	1	no	—
202	#2687	—	3	1	no	—
203	#2685	—	3	1	no	—
204	#2601	—	3	1	no	—
205	#2599	—	3	1	no	—
206	#2578	—	3	1	no	—
207	#2573	—	3	1	no	—
208	#2560	—	3	1	no	—
209	#2553	—	3	1	no	—
210	#2522	D₃	1	1	yes	characteristic, complemented
211	#2515	—	3	1	no	—
212	#2478	—	3	1	no	—
213	#2470	—	3	1	no	—
214	#2465	—	3	1	no	—
215	#2458	—	3	1	no	—
216	#2378	—	3	1	no	—
217	#2376	—	3	1	no	—
218	#2280	—	3	1	no	—
219	C₂⁴×D₃	C₂³	1	1	yes	characteristic
220	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
221	C₂²×#67	C₂³	1	1	yes	characteristic
222	C₂³×Dic₃	C₂³	1	1	yes	characteristic
223	C₂²×D₁₂	C₂³	1	1	yes	characteristic
224	C₂²×D₁₂	C₂³	1	1	yes	characteristic
225	C₂²×C₄×D₃	—	2	4	no	—
226	C₂²×C₄×D₃	—	4	2	no	—
227	C₂²×C₄×D₃	—	4	2	no	—
228	C₂²×C₄×D₃	C₂³	1	1	yes	characteristic
229	C₂²×C₄×D₃	C₂³	1	1	yes	characteristic
230	C₂²×C₄×D₃	C₂³	1	1	yes	characteristic
231	C₂²×C₄×D₃	C₂³	1	1	yes	characteristic
232	C₂²×C₄×D₃	C₂³	1	1	yes	characteristic
233	C₂²×Dic₆	C₂³	1	1	yes	characteristic
234	C₂²×Dic₆	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×C₄⋊C₄	C₂³	1	1	yes	characteristic
238	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
239	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
240	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
241	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
242	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
243	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
244	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
245	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
246	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
247	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
248	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
249	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
250	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
251	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
252	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
253	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
254	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
255	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
256	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
257	C₂×#217	C₂³	1	1	yes	characteristic
258	C₂×#217	C₂³	1	1	yes	characteristic
259	C₂×#217	C₂³	1	1	yes	characteristic
260	C₂×#217	C₂³	1	1	yes	characteristic
261	C₂×#217	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×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
271	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
272	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
273	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
274	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
275	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
276	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
277	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
278	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
279	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
280	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
281	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
282	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
283	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
284	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
285	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
286	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
287	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
288	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
289	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
290	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
291	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
292	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
293	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
294	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
295	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
296	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
297	C₂×C₄⋊Dic₃	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	#924	—	4	2	no	—
304	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
305	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
306	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
307	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
308	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
309	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
310	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
311	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
312	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
313	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
314	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
315	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
316	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
317	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
318	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
319	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
320	C₂×Dic₃⋊C₄	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	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
327	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
328	#898	—	4	2	no	—
329	#897	—	2	4	no	—
330	#897	—	4	2	no	—
331	#894	—	2	4	no	—
332	#894	—	4	2	no	—
333	#894	—	4	2	no	—
334	#887	—	4	2	no	—
335	#882	—	4	2	no	—
336	#876	—	4	2	no	—
337	#872	—	4	2	no	—
338	#872	—	4	2	no	—
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	C₂⁴×C₄	—	3	1	no	—
390	C₂×#126	—	3	1	no	—
391	C₂×#126	—	3	1	no	—
392	C₂×#123	—	3	1	no	—
393	C₂×#123	—	3	1	no	—
394	C₂×#123	—	3	1	no	—
395	C₂×C₂²⋊Q₈	—	3	1	no	—
396	C₂×C₂²⋊Q₈	—	3	1	no	—
397	C₂×C₂²⋊Q₈	—	3	1	no	—
398	C₂×#120	—	3	1	no	—
399	C₂×C₄×Q₈	—	3	1	no	—
400	C₂×#117	—	3	1	no	—
401	C₂×#117	—	3	1	no	—
402	#400	—	3	1	no	—
403	#400	—	3	1	no	—
404	#400	—	3	1	no	—
405	#400	—	3	1	no	—
406	#400	—	3	1	no	—
407	#399	—	3	1	no	—
408	#399	C₂×D₃	1	1	yes	characteristic
409	#398	—	3	1	no	—
410	#398	—	3	1	no	—
411	#398	—	3	1	no	—
412	#398	—	3	1	no	—
413	#398	—	3	1	no	—
414	#398	—	3	1	no	—
415	#398	—	3	1	no	—
416	#398	—	3	1	no	—
417	#398	C₂×D₃	1	1	yes	characteristic, complemented
418	#398	C₂×D₃	1	1	yes	characteristic, complemented
419	#397	—	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	#397	—	3	1	no	—
427	#397	—	3	1	no	—
428	#397	—	3	1	no	—
429	#396	—	3	1	no	—
430	#396	—	3	1	no	—
431	#396	—	3	1	no	—
432	#396	—	3	1	no	—
433	#396	—	3	1	no	—
434	#396	—	3	1	no	—
435	#396	C₂×D₃	1	1	yes	characteristic
436	#395	—	3	1	no	—
437	#395	—	3	1	no	—
438	#395	—	3	1	no	—
439	#394	—	3	1	no	—
440	#394	—	3	1	no	—
441	#394	—	3	1	no	—
442	#394	—	3	1	no	—
443	#394	—	3	1	no	—
444	#394	—	3	1	no	—
445	#393	—	3	1	no	—
446	#393	—	3	1	no	—
447	#393	—	3	1	no	—
448	#393	—	3	1	no	—
449	#393	—	3	1	no	—
450	#391	—	3	1	no	—
451	#391	—	3	1	no	—
452	#390	—	3	1	no	—
453	#390	—	3	1	no	—
454	#390	—	3	1	no	—
455	#389	—	3	1	no	—
456	#389	—	3	1	no	—
457	#389	—	3	1	no	—
458	#389	—	3	1	no	—
459	#389	C₂×D₃	1	1	yes	characteristic, complemented
460	#389	C₂×D₃	1	1	yes	characteristic, complemented
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	—	3	1	no	—
477	#388	—	3	1	no	—
478	#388	—	3	1	no	—
479	#388	—	3	1	no	—
480	#388	—	3	1	no	—
481	#388	C₂×D₃	1	1	yes	characteristic
482	#388	C₂×D₃	1	1	yes	characteristic
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, complemented
496	#387	C₂×D₃	1	1	yes	characteristic, complemented
497	#387	C₂×D₃	1	1	yes	characteristic, complemented
498	#386	—	3	1	no	—
499	#386	—	3	1	no	—
500	#386	—	3	1	no	—
501	#386	—	3	1	no	—
502	#386	—	3	1	no	—
503	#386	—	3	1	no	—
504	#385	—	3	1	no	—
505	#385	—	3	1	no	—
506	#385	—	3	1	no	—
507	#385	—	3	1	no	—
508	#385	—	3	1	no	—
509	#385	—	3	1	no	—
510	#385	—	3	1	no	—
511	#385	—	3	1	no	—
512	#385	—	3	1	no	—
513	#385	—	3	1	no	—
514	#385	—	3	1	no	—
515	#385	C₂×D₃	1	1	yes	characteristic
516	#383	—	3	1	no	—
517	#383	—	3	1	no	—
518	#382	—	3	1	no	—
519	#382	—	3	1	no	—
520	#381	—	3	1	no	—
521	#381	—	3	1	no	—
522	#381	—	3	1	no	—
523	#381	—	3	1	no	—
524	#380	—	3	1	no	—
525	#380	—	3	1	no	—
526	#380	—	3	1	no	—
527	#380	—	3	1	no	—
528	#380	—	3	1	no	—
529	#380	—	3	1	no	—
530	#380	—	3	1	no	—
531	#380	C₂×D₃	1	1	yes	characteristic
532	#379	—	3	1	no	—
533	#379	—	3	1	no	—
534	#379	—	3	1	no	—
535	#379	—	3	1	no	—
536	#379	—	3	1	no	—
537	C₄×C₄⋊C₄	—	3	1	no	—
538	C₄×C₄⋊C₄	C₂×D₃	1	1	yes	characteristic, complemented
539	C₄×C₂²⋊C₄	—	3	1	no	—
540	C₄×C₂²⋊C₄	—	3	1	no	—
541	C₄×C₂²⋊C₄	—	3	1	no	—
542	C₄×C₂²⋊C₄	—	3	1	no	—
543	C₄×C₂²⋊C₄	C₂×D₃	1	1	yes	characteristic
544	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
545	C₂³×D₃	—	2	2	no	—
546	C₂³×D₃	—	2	2	no	—
547	C₂³×D₃	—	2	2	no	—
548	C₂³×D₃	—	4	1	no	—
549	C₂³×D₃	—	4	1	no	—
550	C₂³×D₃	—	4	1	no	—
551	C₂³×D₃	—	4	1	no	—
552	C₂³×D₃	C₂⁴	1	1	yes	characteristic
553	C₂³×D₃	C₂⁴	1	1	yes	characteristic
554	C₂³×D₃	C₂⁴	1	1	yes	characteristic
555	C₂²×C₃×C₄	—	2	2	no	—
556	C₂²×C₃×C₄	—	2	2	no	—
557	C₂²×C₃×C₄	—	4	1	no	—
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	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
564	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
565	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
566	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
567	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
568	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
569	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
570	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
571	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
572	C₂×#67	—	2	2	no	—
573	C₂×#67	—	4	1	no	—
574	C₂×#67	—	4	1	no	—
575	C₂²×Dic₃	—	2	2	no	—
576	C₂²×Dic₃	—	4	1	no	—
577	C₂²×Dic₃	—	4	1	no	—
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	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
585	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
586	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
587	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
588	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
589	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
590	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
591	C₂×D₁₂	—	2	2	no	—
592	C₂×D₁₂	—	2	2	no	—
593	C₂×D₁₂	—	4	1	no	—
594	C₂×D₁₂	—	4	1	no	—
595	C₂×D₁₂	—	4	1	no	—
596	C₂×D₁₂	—	4	1	no	—
597	C₂×C₄×D₃	—	2	2	no	—
598	C₂×C₄×D₃	—	2	2	no	—
599	C₂×C₄×D₃	—	2	2	no	—
600	C₂×C₄×D₃	—	2	2	no	—
601	C₂×C₄×D₃	—	2	2	no	—
602	C₂×C₄×D₃	—	2	2	no	—
603	C₂×C₄×D₃	—	2	2	no	—
604	C₂×C₄×D₃	—	4	16	no	—
605	C₂×C₄×D₃	—	4	1	no	—
606	C₂×C₄×D₃	—	4	1	no	—
607	C₂×C₄×D₃	—	4	1	no	—
608	C₂×C₄×D₃	—	4	1	no	—
609	C₂×C₄×D₃	—	4	1	no	—
610	C₂×C₄×D₃	—	4	1	no	—
611	C₂×C₄×D₃	—	4	1	no	—
612	C₂×C₄×D₃	#41	1	4	yes	—
613	C₂×Dic₆	—	2	2	no	—
614	C₂×Dic₆	—	4	1	no	—
615	C₂×Dic₆	—	4	1	no	—
616	C₂×Dic₆	—	4	1	no	—
617	C₂×Dic₆	—	4	1	no	—
618	C₂×Dic₆	—	4	1	no	—
619	C₃×C₄⋊C₄	—	2	2	no	—
620	C₃×C₄⋊C₄	—	2	2	no	—
621	C₃×C₄⋊C₄	—	2	2	no	—
622	C₃×C₄⋊C₄	—	4	1	no	—
623	C₃×C₄⋊C₄	—	4	1	no	—
624	C₃×C₄⋊C₄	—	4	1	no	—
625	C₃×C₄⋊C₄	—	4	1	no	—
626	C₃×C₄⋊C₄	—	4	1	no	—
627	C₃×C₄⋊C₄	—	4	1	no	—
628	C₃×C₄⋊C₄	—	4	1	no	—
629	C₃×C₄⋊C₄	—	4	1	no	—
630	C₃×C₄⋊C₄	—	4	1	no	—
631	C₃×C₂²⋊C₄	—	2	2	no	—
632	C₃×C₂²⋊C₄	—	4	1	no	—
633	C₃×C₂²⋊C₄	—	4	1	no	—
634	C₃×C₂²⋊C₄	—	4	1	no	—
635	C₃×C₂²⋊C₄	—	4	1	no	—
636	C₃×C₂²⋊C₄	—	4	1	no	—
637	C₃×C₄²	—	2	2	no	—
638	C₃×C₄²	—	4	1	no	—
639	C₃×C₄²	—	4	1	no	—
640	C₃×C₄²	—	4	1	no	—
641	#217	—	2	2	no	—
642	#217	—	2	2	no	—
643	#217	—	4	1	no	—
644	#217	—	4	1	no	—
645	#217	—	4	1	no	—
646	(C₂×D₃)⋊C₄	—	2	2	no	—
647	(C₂×D₃)⋊C₄	—	2	2	no	—
648	(C₂×D₃)⋊C₄	—	2	2	no	—
649	(C₂×D₃)⋊C₄	—	2	2	no	—
650	(C₂×D₃)⋊C₄	—	2	2	no	—
651	(C₂×D₃)⋊C₄	—	2	2	no	—
652	(C₂×D₃)⋊C₄	—	2	2	no	—
653	(C₂×D₃)⋊C₄	—	2	2	no	—
654	(C₂×D₃)⋊C₄	—	2	2	no	—
655	(C₂×D₃)⋊C₄	—	2	2	no	—
656	(C₂×D₃)⋊C₄	—	2	2	no	—
657	(C₂×D₃)⋊C₄	—	4	1	no	—
658	(C₂×D₃)⋊C₄	—	4	1	no	—
659	(C₂×D₃)⋊C₄	—	4	1	no	—
660	(C₂×D₃)⋊C₄	—	4	1	no	—
661	(C₂×D₃)⋊C₄	—	4	1	no	—
662	(C₂×D₃)⋊C₄	—	4	1	no	—
663	(C₂×D₃)⋊C₄	—	4	1	no	—
664	(C₂×D₃)⋊C₄	—	4	1	no	—
665	(C₂×D₃)⋊C₄	—	4	1	no	—
666	(C₂×D₃)⋊C₄	—	4	1	no	—
667	(C₂×D₃)⋊C₄	—	4	1	no	—
668	(C₂×D₃)⋊C₄	—	4	1	no	—
669	(C₂×D₃)⋊C₄	—	4	1	no	—
670	(C₂×D₃)⋊C₄	—	4	1	no	—
671	(C₂×D₃)⋊C₄	—	4	1	no	—
672	(C₂×D₃)⋊C₄	—	4	1	no	—
673	(C₂×D₃)⋊C₄	—	4	1	no	—
674	(C₂×D₃)⋊C₄	—	4	1	no	—
675	(C₂×D₃)⋊C₄	—	4	1	no	—
676	(C₂×D₃)⋊C₄	—	4	1	no	—
677	(C₂×D₃)⋊C₄	—	4	1	no	—
678	(C₂×D₃)⋊C₄	—	4	1	no	—
679	C₄⋊Dic₃	—	2	2	no	—
680	C₄⋊Dic₃	—	2	2	no	—
681	C₄⋊Dic₃	—	4	1	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	Dic₃⋊C₄	—	2	2	no	—
688	Dic₃⋊C₄	—	2	2	no	—
689	Dic₃⋊C₄	—	2	2	no	—
690	Dic₃⋊C₄	—	4	1	no	—
691	Dic₃⋊C₄	—	4	1	no	—
692	Dic₃⋊C₄	—	4	1	no	—
693	Dic₃⋊C₄	—	4	1	no	—
694	Dic₃⋊C₄	—	4	1	no	—
695	Dic₃⋊C₄	—	4	1	no	—
696	Dic₃⋊C₄	—	4	1	no	—
697	Dic₃⋊C₄	—	4	1	no	—
698	Dic₃⋊C₄	—	4	1	no	—
699	Dic₃⋊C₄	—	4	1	no	—
700	Dic₃⋊C₄	—	4	1	no	—
701	Dic₃⋊C₄	—	4	1	no	—
702	Dic₃⋊C₄	—	4	1	no	—
703	Dic₃⋊C₄	—	4	1	no	—
704	C₄×Dic₃	—	2	2	no	—
705	C₄×Dic₃	—	4	1	no	—
706	C₄×Dic₃	—	4	1	no	—
707	C₄×Dic₃	—	4	1	no	—
708	C₄×Dic₃	—	4	1	no	—
709	C₄×Dic₃	—	4	1	no	—
710	C₄×Dic₃	—	4	1	no	—
711	C₂⁵	—	3	1	no	—
712	C₂²×Q₈	—	3	1	no	—
713	C₂²×Q₈	—	3	1	no	—
714	C₂²×D₄	—	3	1	no	—
715	C₂²×D₄	—	3	1	no	—
716	C₂²×D₄	—	3	1	no	—
717	C₂³×C₄	—	3	1	no	—
718	C₂³×C₄	—	3	1	no	—
719	C₂³×C₄	—	3	1	no	—
720	C₂³×C₄	—	3	1	no	—
721	C₂³×C₄	—	3	1	no	—
722	C₂³×C₄	—	3	1	no	—
723	C₂³×C₄	—	6	4	no	—
724	C₂³×C₄	—	12	2	no	—
725	C₂³×C₄	—	12	2	no	—
726	C₂³×C₄	C₂²×D₃	1	1	yes	characteristic
727	#126	—	12	2	no	—
728	#126	—	12	2	no	—
729	#123	—	6	4	no	—
730	#123	—	12	2	no	—
731	#123	—	12	2	no	—
732	C₂²⋊Q₈	—	6	4	no	—
733	C₂²⋊Q₈	—	12	2	no	—
734	C₂²⋊Q₈	—	12	2	no	—
735	#120	—	12	2	no	—
736	C₄×Q₈	—	12	2	no	—
737	#117	—	12	2	no	—
738	#117	—	12	2	no	—
739	C₂×C₄⋊C₄	—	3	1	no	—
740	C₂×C₄⋊C₄	—	3	1	no	—
741	C₂×C₄⋊C₄	—	3	1	no	—
742	C₂×C₄⋊C₄	—	3	1	no	—
743	C₂×C₄⋊C₄	—	3	1	no	—
744	C₂×C₄⋊C₄	—	3	1	no	—
745	C₂×C₄⋊C₄	—	3	1	no	—
746	C₂×C₄⋊C₄	—	3	1	no	—
747	C₂×C₄⋊C₄	—	3	1	no	—
748	C₂×C₄⋊C₄	—	3	1	no	—
749	C₂×C₄⋊C₄	—	3	1	no	—
750	C₂×C₄⋊C₄	—	3	1	no	—
751	C₂×C₄⋊C₄	—	3	1	no	—
752	C₂×C₄⋊C₄	—	3	1	no	—
753	C₂×C₄⋊C₄	—	3	1	no	—
754	C₂×C₄⋊C₄	—	3	1	no	—
755	C₂×C₄⋊C₄	—	3	1	no	—
756	C₂×C₄⋊C₄	—	3	1	no	—
757	C₂×C₄⋊C₄	—	3	1	no	—
758	C₂×C₄⋊C₄	—	3	1	no	—
759	C₂×C₄⋊C₄	—	3	1	no	—
760	C₂×C₄⋊C₄	—	3	1	no	—
761	C₂×C₄⋊C₄	—	3	1	no	—
762	C₂×C₄⋊C₄	—	3	1	no	—
763	C₂×C₄⋊C₄	—	3	1	no	—
764	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
765	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
766	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
767	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
768	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
769	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
770	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
771	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
772	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
773	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
774	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
775	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
776	C₂×C₂²⋊C₄	—	3	1	no	—
777	C₂×C₂²⋊C₄	—	3	1	no	—
778	C₂×C₂²⋊C₄	—	3	1	no	—
779	C₂×C₂²⋊C₄	—	3	1	no	—
780	C₂×C₂²⋊C₄	—	3	1	no	—
781	C₂×C₂²⋊C₄	—	3	1	no	—
782	C₂×C₂²⋊C₄	—	3	1	no	—
783	C₂×C₂²⋊C₄	—	3	1	no	—
784	C₂×C₂²⋊C₄	—	3	1	no	—
785	C₂×C₂²⋊C₄	—	3	1	no	—
786	C₂×C₂²⋊C₄	—	3	1	no	—
787	C₂×C₂²⋊C₄	—	3	1	no	—
788	C₂×C₂²⋊C₄	—	3	1	no	—
789	C₂×C₂²⋊C₄	—	3	1	no	—
790	C₂×C₂²⋊C₄	—	3	1	no	—
791	C₂×C₂²⋊C₄	—	3	1	no	—
792	C₂×C₂²⋊C₄	—	3	1	no	—
793	C₂×C₂²⋊C₄	—	3	1	no	—
794	C₂×C₂²⋊C₄	—	3	1	no	—
795	C₂×C₂²⋊C₄	—	3	1	no	—
796	C₂×C₂²⋊C₄	—	3	1	no	—
797	C₂×C₂²⋊C₄	—	3	1	no	—
798	C₂×C₂²⋊C₄	—	3	1	no	—
799	C₂×C₂²⋊C₄	—	3	1	no	—
800	C₂×C₂²⋊C₄	—	3	1	no	—
801	C₂×C₂²⋊C₄	—	3	1	no	—
802	C₂×C₂²⋊C₄	—	3	1	no	—
803	C₂×C₂²⋊C₄	—	3	1	no	—
804	C₂×C₂²⋊C₄	—	3	1	no	—
805	C₂×C₂²⋊C₄	—	3	1	no	—
806	C₂×C₂²⋊C₄	—	3	1	no	—
807	C₂×C₂²⋊C₄	—	3	1	no	—
808	C₂×C₂²⋊C₄	—	3	1	no	—
809	C₂×C₂²⋊C₄	—	3	1	no	—
810	C₂×C₂²⋊C₄	—	3	1	no	—
811	C₂×C₂²⋊C₄	—	3	1	no	—
812	C₂×C₂²⋊C₄	—	3	1	no	—
813	C₂×C₂²⋊C₄	—	3	1	no	—
814	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
815	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
816	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
817	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
818	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
819	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
820	C₂×C₄²	—	3	1	no	—
821	C₂×C₄²	—	3	1	no	—
822	C₂×C₄²	—	3	1	no	—
823	C₂×C₄²	—	3	1	no	—
824	C₂×C₄²	—	3	1	no	—
825	C₂×C₄²	—	3	1	no	—
826	C₂×C₄²	—	3	1	no	—
827	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
828	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
829	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
830	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
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	—	3	1	no	—
849	#95	—	3	1	no	—
850	#95	—	3	1	no	—
851	#95	—	3	1	no	—
852	#95	—	3	1	no	—
853	#95	—	3	1	no	—
854	#95	—	3	1	no	—
855	#95	—	3	1	no	—
856	#95	—	3	1	no	—
857	#95	—	3	1	no	—
858	#95	—	3	1	no	—
859	#95	—	3	1	no	—
860	#95	—	3	1	no	—
861	#95	—	3	1	no	—
862	#95	—	3	1	no	—
863	#95	—	3	1	no	—
864	#95	—	3	1	no	—
865	#95	—	3	1	no	—
866	#95	—	3	1	no	—
867	#95	—	3	1	no	—
868	#95	—	3	1	no	—
869	#95	C₂²×D₃	1	1	yes	characteristic
870	#95	C₂²×D₃	1	1	yes	characteristic
871	#95	C₂²×D₃	1	1	yes	characteristic
872	#95	C₂²×D₃	1	1	yes	characteristic
873	#95	C₂²×D₃	1	1	yes	characteristic
874	#95	C₂²×D₃	1	1	yes	characteristic
875	#95	C₂²×D₃	1	1	yes	characteristic
876	#95	C₂²×D₃	1	1	yes	characteristic
877	#95	C₂²×D₃	1	1	yes	characteristic
878	#95	C₂²×D₃	1	1	yes	characteristic
879	#95	C₂²×D₃	1	1	yes	characteristic
880	#95	C₂²×D₃	1	1	yes	characteristic
881	C₂³×C₃	—	2	1	no	—
882	C₂³×C₃	—	2	1	no	—
883	C₂³×C₃	—	2	1	no	—
884	C₂³×C₃	—	2	1	no	—
885	C₂³×C₃	—	2	1	no	—
886	C₂³×C₃	—	2	1	no	—
887	C₂³×C₃	2₋¹⁺⁴	1	2	yes	—
888	C₂³×C₃	C₂⁵	1	1	yes	characteristic
889	C₂²×D₃	—	2	1	no	—
890	C₂²×D₃	—	2	1	no	—
891	C₂²×D₃	—	2	1	no	—
892	C₂²×D₃	—	2	1	no	—
893	C₂²×D₃	—	2	1	no	—
894	C₂²×D₃	—	2	1	no	—
895	C₂²×D₃	—	2	1	no	—
896	C₂²×D₃	—	2	1	no	—
897	C₂²×D₃	—	2	1	no	—
898	C₂²×D₃	—	2	1	no	—
899	C₂²×D₃	—	2	1	no	—
900	C₂²×D₃	—	2	1	no	—
901	C₂²×D₃	—	2	1	no	—
902	C₂²×D₃	—	2	1	no	—
903	C₂²×D₃	—	2	1	no	—
904	C₂²×D₃	—	2	1	no	—
905	C₂²×D₃	—	2	1	no	—
906	C₂²×D₃	—	2	1	no	—
907	C₂²×D₃	—	2	1	no	—
908	C₂²×D₃	—	4	4	no	—
909	C₂²×D₃	—	4	4	no	—
910	C₂²×D₃	—	4	4	no	—
911	C₂²×D₃	—	4	4	no	—
912	C₂²×D₃	—	4	4	no	—
913	C₂²×D₃	—	4	4	no	—
914	C₂²×D₃	—	4	4	no	—
915	C₂²×D₃	C₂×#41	1	2	yes	—
916	C₂²×D₃	H(5,𝔽₂)	1	2	yes	—
917	C₂×C₃×C₄	—	2	1	no	—
918	C₂×C₃×C₄	—	2	1	no	—
919	C₂×C₃×C₄	—	2	1	no	—
920	C₂×C₃×C₄	—	2	1	no	—
921	C₂×C₃×C₄	—	2	1	no	—
922	C₂×C₃×C₄	—	2	1	no	—
923	C₂×C₃×C₄	—	2	1	no	—
924	C₂×C₃×C₄	—	2	1	no	—
925	C₂×C₃×C₄	—	2	1	no	—
926	C₂×C₃×C₄	—	2	1	no	—
927	C₂×C₃×C₄	—	2	1	no	—
928	C₂×C₃×C₄	—	2	1	no	—
929	C₂×C₃×C₄	—	2	1	no	—
930	C₂×C₃×C₄	—	2	1	no	—
931	C₂×C₃×C₄	—	2	1	no	—
932	C₂×C₃×C₄	—	2	1	no	—
933	C₂×C₃×C₄	—	2	1	no	—
934	C₂×C₃×C₄	—	2	1	no	—
935	C₂×C₃×C₄	—	2	1	no	—
936	C₂×C₃×C₄	—	2	1	no	—
937	C₂×C₃×C₄	—	2	1	no	—
938	C₂×C₃×C₄	—	2	1	no	—
939	C₂×C₃×C₄	—	2	1	no	—
940	C₂×C₃×C₄	—	2	1	no	—
941	C₂×C₃×C₄	—	2	1	no	—
942	C₂×C₃×C₄	—	2	1	no	—
943	C₂×C₃×C₄	—	2	1	no	—
944	C₂×C₃×C₄	—	2	1	no	—
945	C₂×C₃×C₄	—	2	1	no	—
946	C₂×C₃×C₄	—	2	1	no	—
947	C₂×C₃×C₄	—	2	1	no	—
948	C₂×C₃×C₄	—	2	1	no	—
949	C₂×C₃×C₄	—	2	1	no	—
950	C₂×C₃×C₄	—	2	1	no	—
951	C₂×C₃×C₄	—	2	1	no	—
952	C₂×C₃×C₄	—	2	1	no	—
953	C₂×C₃×C₄	—	2	1	no	—
954	C₂×C₃×C₄	—	2	1	no	—
955	C₂×C₃×C₄	—	2	1	no	—
956	C₂×C₃×C₄	—	2	1	no	—
957	C₂×C₃×C₄	—	4	4	no	—
958	C₂×C₃×C₄	C₂×#41	1	2	yes	—
959	C₂×C₃×C₄	H(5,𝔽₂)	1	2	yes	—
960	#67	—	8	2	no	—
961	C₂×Dic₃	—	2	1	no	—
962	C₂×Dic₃	—	2	1	no	—
963	C₂×Dic₃	—	2	1	no	—
964	C₂×Dic₃	—	2	1	no	—
965	C₂×Dic₃	—	2	1	no	—
966	C₂×Dic₃	—	2	1	no	—
967	C₂×Dic₃	—	2	1	no	—
968	C₂×Dic₃	—	2	1	no	—
969	C₂×Dic₃	—	2	1	no	—
970	C₂×Dic₃	—	2	1	no	—
971	C₂×Dic₃	—	2	1	no	—
972	C₂×Dic₃	—	2	1	no	—
973	C₂×Dic₃	—	2	1	no	—
974	C₂×Dic₃	—	2	1	no	—
975	C₂×Dic₃	—	2	1	no	—
976	C₂×Dic₃	—	2	1	no	—
977	C₂×Dic₃	—	2	1	no	—
978	C₂×Dic₃	—	2	1	no	—
979	C₂×Dic₃	—	2	1	no	—
980	C₂×Dic₃	—	2	1	no	—
981	C₂×Dic₃	—	2	1	no	—
982	C₂×Dic₃	—	2	1	no	—
983	C₂×Dic₃	—	2	1	no	—
984	C₂×Dic₃	—	2	1	no	—
985	C₂×Dic₃	—	2	1	no	—
986	C₂×Dic₃	—	2	1	no	—
987	C₂×Dic₃	—	2	1	no	—
988	C₂×Dic₃	—	2	1	no	—
989	C₂×Dic₃	—	2	1	no	—
990	C₂×Dic₃	—	2	1	no	—
991	C₂×Dic₃	—	2	1	no	—
992	C₂×Dic₃	—	2	1	no	—
993	C₂×Dic₃	—	2	1	no	—
994	C₂×Dic₃	—	2	1	no	—
995	C₂×Dic₃	—	2	1	no	—
996	C₂×Dic₃	—	2	1	no	—
997	C₂×Dic₃	—	2	1	no	—
998	C₂×Dic₃	—	2	1	no	—
999	C₂×Dic₃	—	4	4	no	—
1000	C₂×Dic₃	C₂×#41	1	2	yes	—
1001	D₁₂	—	8	2	no	—
1002	D₁₂	—	8	2	no	—
1003	C₄×D₃	—	2	8	no	—
1004	C₄×D₃	—	4	4	no	—
1005	C₄×D₃	—	4	4	no	—
1006	C₄×D₃	—	4	4	no	—
1007	C₄×D₃	—	8	2	no	—
1008	Dic₆	—	4	4	no	—
1009	Dic₆	—	8	2	no	—
1010	C₂⁴	—	3	1	no	—
1011	C₂⁴	—	3	1	no	—
1012	C₂⁴	—	3	1	no	—
1013	C₂⁴	—	6	2	no	—
1014	C₂⁴	—	6	2	no	—
1015	C₂⁴	—	6	2	no	—
1016	C₂⁴	—	12	1	no	—
1017	C₂⁴	—	12	1	no	—
1018	C₂⁴	—	12	1	no	—
1019	C₂⁴	—	12	1	no	—
1020	C₂⁴	C₂³×D₃	1	1	yes	characteristic
1021	C₂×Q₈	—	6	2	no	—
1022	C₂×Q₈	—	12	1	no	—
1023	C₂×Q₈	—	12	1	no	—
1024	C₂×Q₈	—	12	1	no	—
1025	C₂×Q₈	—	12	1	no	—
1026	C₂×Q₈	—	12	1	no	—
1027	C₂×D₄	—	6	2	no	—
1028	C₂×D₄	—	6	2	no	—
1029	C₂×D₄	—	6	2	no	—
1030	C₂×D₄	—	12	1	no	—
1031	C₂×D₄	—	12	1	no	—
1032	C₂×D₄	—	12	1	no	—
1033	C₂×D₄	—	12	1	no	—
1034	C₂×D₄	—	12	1	no	—
1035	C₂×D₄	—	12	1	no	—
1036	C₂²×C₄	—	2	2	no	—
1037	C₂²×C₄	—	2	2	no	—
1038	C₂²×C₄	—	3	1	no	—
1039	C₂²×C₄	—	3	4	no	—
1040	C₂²×C₄	—	3	1	no	—
1041	C₂²×C₄	—	3	1	no	—
1042	C₂²×C₄	—	3	1	no	—
1043	C₂²×C₄	—	3	1	no	—
1044	C₂²×C₄	—	3	1	no	—
1045	C₂²×C₄	—	3	1	no	—
1046	C₂²×C₄	—	3	1	no	—
1047	C₂²×C₄	—	3	1	no	—
1048	C₂²×C₄	—	3	1	no	—
1049	C₂²×C₄	—	3	1	no	—
1050	C₂²×C₄	—	3	1	no	—
1051	C₂²×C₄	—	3	1	no	—
1052	C₂²×C₄	—	4	1	no	—
1053	C₂²×C₄	—	6	2	no	—
1054	C₂²×C₄	—	6	2	no	—
1055	C₂²×C₄	—	6	2	no	—
1056	C₂²×C₄	—	6	2	no	—
1057	C₂²×C₄	—	6	2	no	—
1058	C₂²×C₄	—	6	2	no	—
1059	C₂²×C₄	—	6	2	no	—
1060	C₂²×C₄	—	6	2	no	—
1061	C₂²×C₄	—	12	1	no	—
1062	C₂²×C₄	—	12	1	no	—
1063	C₂²×C₄	—	12	1	no	—
1064	C₂²×C₄	—	12	1	no	—
1065	C₂²×C₄	—	12	1	no	—
1066	C₂²×C₄	—	12	1	no	—
1067	C₂²×C₄	—	12	1	no	—
1068	C₂²×C₄	—	12	16	no	—
1069	C₂²×C₄	—	12	1	no	—
1070	C₂²×C₄	—	12	1	no	—
1071	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1072	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1073	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1074	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1075	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1076	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1077	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1078	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1079	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1080	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1081	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1082	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1083	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1084	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1085	C₄⋊C₄	—	2	2	no	—
1086	C₄⋊C₄	—	2	2	no	—
1087	C₄⋊C₄	—	2	2	no	—
1088	C₄⋊C₄	—	4	1	no	—
1089	C₄⋊C₄	—	4	1	no	—
1090	C₄⋊C₄	—	4	1	no	—
1091	C₄⋊C₄	—	4	1	no	—
1092	C₄⋊C₄	—	4	1	no	—
1093	C₄⋊C₄	—	4	1	no	—
1094	C₄⋊C₄	—	4	1	no	—
1095	C₄⋊C₄	—	4	1	no	—
1096	C₄⋊C₄	—	4	1	no	—
1097	C₄⋊C₄	—	6	2	no	—
1098	C₄⋊C₄	—	6	2	no	—
1099	C₄⋊C₄	—	6	2	no	—
1100	C₄⋊C₄	—	6	2	no	—
1101	C₄⋊C₄	—	6	2	no	—
1102	C₄⋊C₄	—	12	1	no	—
1103	C₄⋊C₄	—	12	1	no	—
1104	C₄⋊C₄	—	12	1	no	—
1105	C₄⋊C₄	—	12	1	no	—
1106	C₄⋊C₄	—	12	1	no	—
1107	C₄⋊C₄	—	12	1	no	—
1108	C₄⋊C₄	—	12	1	no	—
1109	C₄⋊C₄	—	12	1	no	—
1110	C₄⋊C₄	—	12	1	no	—
1111	C₄⋊C₄	—	12	1	no	—
1112	C₄⋊C₄	—	12	1	no	—
1113	C₄⋊C₄	—	12	1	no	—
1114	C₄⋊C₄	—	12	1	no	—
1115	C₄⋊C₄	—	12	1	no	—
1116	C₄⋊C₄	—	12	1	no	—
1117	C₄⋊C₄	—	12	1	no	—
1118	C₄⋊C₄	—	12	1	no	—
1119	C₄⋊C₄	—	12	1	no	—
1120	C₄⋊C₄	—	12	1	no	—
1121	C₄⋊C₄	—	12	1	no	—
1122	C₂²⋊C₄	—	2	2	no	—
1123	C₂²⋊C₄	—	4	1	no	—
1124	C₂²⋊C₄	—	4	1	no	—
1125	C₂²⋊C₄	—	4	1	no	—
1126	C₂²⋊C₄	—	4	1	no	—
1127	C₂²⋊C₄	—	4	1	no	—
1128	C₂²⋊C₄	—	6	2	no	—
1129	C₂²⋊C₄	—	6	2	no	—
1130	C₂²⋊C₄	—	6	2	no	—
1131	C₂²⋊C₄	—	6	2	no	—
1132	C₂²⋊C₄	—	6	2	no	—
1133	C₂²⋊C₄	—	6	2	no	—
1134	C₂²⋊C₄	—	6	2	no	—
1135	C₂²⋊C₄	—	6	2	no	—
1136	C₂²⋊C₄	—	6	2	no	—
1137	C₂²⋊C₄	—	6	2	no	—
1138	C₂²⋊C₄	—	6	2	no	—
1139	C₂²⋊C₄	—	6	2	no	—
1140	C₂²⋊C₄	—	6	2	no	—
1141	C₂²⋊C₄	—	12	1	no	—
1142	C₂²⋊C₄	—	12	1	no	—
1143	C₂²⋊C₄	—	12	1	no	—
1144	C₂²⋊C₄	—	12	1	no	—
1145	C₂²⋊C₄	—	12	1	no	—
1146	C₂²⋊C₄	—	12	1	no	—
1147	C₂²⋊C₄	—	12	1	no	—
1148	C₂²⋊C₄	—	12	1	no	—
1149	C₂²⋊C₄	—	12	1	no	—
1150	C₂²⋊C₄	—	12	1	no	—
1151	C₂²⋊C₄	—	12	1	no	—
1152	C₂²⋊C₄	—	12	1	no	—
1153	C₂²⋊C₄	—	12	1	no	—
1154	C₂²⋊C₄	—	12	1	no	—
1155	C₂²⋊C₄	—	12	1	no	—
1156	C₂²⋊C₄	—	12	1	no	—
1157	C₂²⋊C₄	—	12	1	no	—
1158	C₂²⋊C₄	—	12	1	no	—
1159	C₂²⋊C₄	—	12	1	no	—
1160	C₂²⋊C₄	—	12	1	no	—
1161	C₂²⋊C₄	—	12	1	no	—
1162	C₂²⋊C₄	—	12	1	no	—
1163	C₂²⋊C₄	—	12	1	no	—
1164	C₂²⋊C₄	—	12	1	no	—
1165	C₂²⋊C₄	—	12	1	no	—
1166	C₄²	—	2	2	no	—
1167	C₄²	—	4	1	no	—
1168	C₄²	—	4	1	no	—
1169	C₄²	—	4	1	no	—
1170	C₄²	—	6	2	no	—
1171	C₄²	—	12	1	no	—
1172	C₄²	—	12	1	no	—
1173	C₄²	—	12	1	no	—
1174	C₄²	—	12	1	no	—
1175	C₄²	—	12	1	no	—
1176	C₄²	—	12	1	no	—
1177	C₂²×C₃	—	2	2	no	—
1178	C₂²×C₃	—	2	2	no	—
1179	C₂²×C₃	—	2	2	no	—
1180	C₂²×C₃	—	4	1	no	—
1181	C₂²×C₃	—	4	1	no	—
1182	C₂²×C₃	—	4	1	no	—
1183	C₂²×C₃	—	4	1	no	—
1184	C₂²×C₃	C₂²×#41	1	1	yes	characteristic
1185	C₂²×C₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1186	C₂²×C₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1187	C₂²×C₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1188	C₂²×C₃	#585	1	1	yes	characteristic
1189	C₂²×C₃	#585	1	1	yes	characteristic
1190	C₂²×C₃	#585	1	1	yes	characteristic
1191	C₂×D₃	—	2	2	no	—
1192	C₂×D₃	—	2	2	no	—
1193	C₂×D₃	—	2	2	no	—
1194	C₂×D₃	—	2	2	no	—
1195	C₂×D₃	—	2	2	no	—
1196	C₂×D₃	—	2	2	no	—
1197	C₂×D₃	—	4	16	no	—
1198	C₂×D₃	—	4	1	no	—
1199	C₂×D₃	—	4	1	no	—
1200	C₂×D₃	—	4	1	no	—
1201	C₂×D₃	—	4	1	no	—
1202	C₂×D₃	—	4	1	no	—
1203	C₂×D₃	—	4	1	no	—
1204	C₂×D₃	—	4	1	no	—
1205	C₂×D₃	—	4	1	no	—
1206	C₂×D₃	—	4	1	no	—
1207	C₂×D₃	—	4	1	no	—
1208	C₂×D₃	—	4	1	no	—
1209	C₂×D₃	—	4	1	no	—
1210	C₂×D₃	—	4	1	no	—
1211	C₂×D₃	—	4	1	no	—
1212	C₂×D₃	—	4	1	no	—
1213	C₃×C₄	—	2	2	no	—
1214	C₃×C₄	—	2	2	no	—
1215	C₃×C₄	—	4	1	no	—
1216	C₃×C₄	—	4	1	no	—
1217	C₃×C₄	—	4	1	no	—
1218	C₃×C₄	—	4	1	no	—
1219	C₃×C₄	—	4	1	no	—
1220	C₃×C₄	—	4	1	no	—
1221	C₃×C₄	—	4	1	no	—
1222	C₃×C₄	—	4	1	no	—
1223	C₃×C₄	—	4	1	no	—
1224	C₃×C₄	—	4	1	no	—
1225	C₃×C₄	—	4	1	no	—
1226	C₃×C₄	—	4	1	no	—
1227	Dic₃	—	2	2	no	—
1228	Dic₃	—	4	1	no	—
1229	Dic₃	—	4	1	no	—
1230	Dic₃	—	4	1	no	—
1231	Dic₃	—	4	1	no	—
1232	Dic₃	—	4	1	no	—
1233	Dic₃	—	4	1	no	—
1234	Dic₃	—	4	1	no	—
1235	Dic₃	—	4	1	no	—
1236	Dic₃	—	4	1	no	—
1237	Dic₃	—	4	1	no	—
1238	Dic₃	—	4	1	no	—
1239	Dic₃	—	4	1	no	—
1240	C₂³	—	2	1	no	—
1241	C₂³	—	2	1	no	—
1242	C₂³	—	2	1	no	—
1243	C₂³	—	2	1	no	—
1244	C₂³	—	2	1	no	—
1245	C₂³	—	2	1	no	—
1246	C₂³	—	3	2	no	—
1247	C₂³	—	3	2	no	—
1248	C₂³	—	6	1	no	—
1249	C₂³	—	6	1	no	—
1250	C₂³	—	6	1	no	—
1251	C₂³	—	6	1	no	—
1252	C₂³	—	6	1	no	—
1253	C₂³	—	6	1	no	—
1254	C₂³	—	6	1	no	—
1255	C₂³	—	6	1	no	—
1256	C₂³	—	6	1	no	—
1257	C₂³	—	6	1	no	—
1258	C₂³	—	6	1	no	—
1259	C₂³	—	6	1	no	—
1260	C₂³	—	6	1	no	—
1261	C₂³	—	6	1	no	—
1262	C₂³	—	6	1	no	—
1263	C₂³	—	6	1	no	—
1264	C₂³	—	6	1	no	—
1265	C₂³	—	6	1	no	—
1266	C₂³	—	6	1	no	—
1267	C₂³	—	12	4	no	—
1268	C₂³	—	12	4	no	—
1269	C₂³	—	12	4	no	—
1270	C₂³	—	12	4	no	—
1271	C₂³	—	12	4	no	—
1272	C₂³	—	12	4	no	—
1273	C₂³	—	12	4	no	—
1274	C₂³	#1007	1	2	yes	—
1275	C₂³	C₂⁴×D₃	1	1	yes	characteristic
1276	Q₈	—	12	4	no	—
1277	Q₈	—	24	2	no	—
1278	D₄	—	24	2	no	—
1279	D₄	—	24	2	no	—
1280	D₄	—	24	2	no	—
1281	C₂×C₄	—	2	1	no	—
1282	C₂×C₄	—	2	1	no	—
1283	C₂×C₄	—	2	1	no	—
1284	C₂×C₄	—	2	1	no	—
1285	C₂×C₄	—	2	1	no	—
1286	C₂×C₄	—	2	1	no	—
1287	C₂×C₄	—	2	1	no	—
1288	C₂×C₄	—	2	1	no	—
1289	C₂×C₄	—	2	1	no	—
1290	C₂×C₄	—	2	1	no	—
1291	C₂×C₄	—	2	1	no	—
1292	C₂×C₄	—	2	1	no	—
1293	C₂×C₄	—	2	1	no	—
1294	C₂×C₄	—	2	1	no	—
1295	C₂×C₄	—	2	1	no	—
1296	C₂×C₄	—	2	1	no	—
1297	C₂×C₄	—	2	1	no	—
1298	C₂×C₄	—	2	1	no	—
1299	C₂×C₄	—	2	1	no	—
1300	C₂×C₄	—	2	1	no	—
1301	C₂×C₄	—	2	1	no	—
1302	C₂×C₄	—	2	1	no	—
1303	C₂×C₄	—	2	1	no	—
1304	C₂×C₄	—	2	1	no	—
1305	C₂×C₄	—	2	1	no	—
1306	C₂×C₄	—	2	1	no	—
1307	C₂×C₄	—	2	1	no	—
1308	C₂×C₄	—	2	1	no	—
1309	C₂×C₄	—	2	1	no	—
1310	C₂×C₄	—	2	1	no	—
1311	C₂×C₄	—	2	1	no	—
1312	C₂×C₄	—	2	1	no	—
1313	C₂×C₄	—	2	1	no	—
1314	C₂×C₄	—	2	1	no	—
1315	C₂×C₄	—	2	1	no	—
1316	C₂×C₄	—	2	1	no	—
1317	C₂×C₄	—	2	1	no	—
1318	C₂×C₄	—	2	1	no	—
1319	C₂×C₄	—	2	1	no	—
1320	C₂×C₄	—	2	1	no	—
1321	C₂×C₄	—	3	2	no	—
1322	C₂×C₄	—	4	4	no	—
1323	C₂×C₄	—	6	8	no	—
1324	C₂×C₄	—	6	1	no	—
1325	C₂×C₄	—	6	1	no	—
1326	C₂×C₄	—	6	1	no	—
1327	C₂×C₄	—	6	1	no	—
1328	C₂×C₄	—	6	1	no	—
1329	C₂×C₄	—	6	1	no	—
1330	C₂×C₄	—	6	1	no	—
1331	C₂×C₄	—	6	1	no	—
1332	C₂×C₄	—	6	1	no	—
1333	C₂×C₄	—	6	1	no	—
1334	C₂×C₄	—	6	1	no	—
1335	C₂×C₄	—	6	1	no	—
1336	C₂×C₄	—	6	1	no	—
1337	C₂×C₄	—	6	1	no	—
1338	C₂×C₄	—	6	1	no	—
1339	C₂×C₄	—	6	1	no	—
1340	C₂×C₄	—	6	1	no	—
1341	C₂×C₄	—	6	1	no	—
1342	C₂×C₄	—	6	1	no	—
1343	C₂×C₄	—	6	1	no	—
1344	C₂×C₄	—	6	1	no	—
1345	C₂×C₄	—	6	1	no	—
1346	C₂×C₄	—	6	1	no	—
1347	C₂×C₄	—	6	1	no	—
1348	C₂×C₄	—	6	1	no	—
1349	C₂×C₄	—	6	1	no	—
1350	C₂×C₄	—	6	1	no	—
1351	C₂×C₄	—	6	1	no	—
1352	C₂×C₄	—	6	1	no	—
1353	C₂×C₄	—	6	1	no	—
1354	C₂×C₄	—	6	1	no	—
1355	C₂×C₄	—	6	1	no	—
1356	C₂×C₄	—	6	1	no	—
1357	C₂×C₄	—	6	1	no	—
1358	C₂×C₄	—	6	1	no	—
1359	C₂×C₄	—	6	1	no	—
1360	C₂×C₄	—	6	1	no	—
1361	C₂×C₄	—	6	1	no	—
1362	C₂×C₄	—	12	4	no	—
1363	C₂×C₄	—	12	4	no	—
1364	C₂×C₄	—	12	4	no	—
1365	C₂×C₄	—	12	4	no	—
1366	C₂×C₄	—	24	2	no	—
1367	C₂×C₄	D₃×#41	1	2	yes	—
1368	C₂×C₄	#1009	1	2	yes	—
1369	C₂×C₃	—	4	2	no	—
1370	C₂×C₃	#3490	1	1	yes	characteristic
1371	C₂×C₃	#3493	1	1	yes	characteristic
1372	C₂×C₃	#3495	1	1	yes	characteristic
1373	C₂×C₃	#3529	1	1	yes	characteristic
1374	C₂×C₃	#3533	1	1	yes	characteristic
1375	C₂×C₃	#3535	1	1	yes	characteristic
1376	C₂×C₃	#3541	1	1	yes	characteristic
1377	D₃	—	4	2	no	—
1378	D₃	—	4	2	no	—
1379	D₃	—	8	1	no	—
1380	C₂²	—	2	2	no	—
1381	C₂²	—	2	2	no	—
1382	C₂²	—	2	2	no	—
1383	C₂²	—	4	1	no	—
1384	C₂²	—	4	1	no	—
1385	C₂²	—	4	1	no	—
1386	C₂²	—	4	1	no	—
1387	C₂²	—	6	2	no	—
1388	C₂²	—	6	2	no	—
1389	C₂²	—	6	2	no	—
1390	C₂²	—	6	2	no	—
1391	C₂²	—	6	2	no	—
1392	C₂²	—	6	2	no	—
1393	C₂²	—	12	16	no	—
1394	C₂²	—	12	1	no	—
1395	C₂²	—	12	1	no	—
1396	C₂²	—	12	1	no	—
1397	C₂²	—	12	1	no	—
1398	C₂²	—	12	1	no	—
1399	C₂²	—	12	1	no	—
1400	C₂²	—	12	1	no	—
1401	C₂²	—	12	1	no	—
1402	C₂²	—	12	1	no	—
1403	C₂²	—	12	1	no	—
1404	C₂²	—	12	1	no	—
1405	C₂²	—	12	1	no	—
1406	C₂²	—	12	1	no	—
1407	C₂²	—	12	1	no	—
1408	C₂²	—	12	1	no	—
1409	C₂²	C₂×#1007	1	1	yes	characteristic
1410	C₂²	C₂×D₃×#41	1	1	yes	characteristic
1411	C₂²	C₂×#1009	1	1	yes	characteristic
1412	C₂²	#5964	1	1	yes	characteristic
1413	C₂²	#5964	1	1	yes	characteristic
1414	C₂²	D₃×H(5,𝔽₂)	1	1	yes	characteristic
1415	C₂²	#5966	1	1	yes	characteristic
1416	C₄	—	2	2	no	—
1417	C₄	—	2	2	no	—
1418	C₄	—	4	1	no	—
1419	C₄	—	4	1	no	—
1420	C₄	—	4	1	no	—
1421	C₄	—	4	1	no	—
1422	C₄	—	4	1	no	—
1423	C₄	—	4	1	no	—
1424	C₄	—	4	1	no	—
1425	C₄	—	4	1	no	—
1426	C₄	—	4	1	no	—
1427	C₄	—	4	1	no	—
1428	C₄	—	4	1	no	—
1429	C₄	—	4	1	no	—
1430	C₄	—	6	2	no	—
1431	C₄	—	12	1	no	—
1432	C₄	—	12	1	no	—
1433	C₄	—	12	1	no	—
1434	C₄	—	12	1	no	—
1435	C₄	—	12	1	no	—
1436	C₄	—	12	1	no	—
1437	C₄	—	12	1	no	—
1438	C₄	—	12	1	no	—
1439	C₄	—	12	1	no	—
1440	C₄	—	12	1	no	—
1441	C₄	—	12	1	no	—
1442	C₄	—	12	1	no	—
1443	C₃	#45466	1	1	yes	characteristic, complemented, Sylow
1444	C₂	—	4	2	no	—
1445	C₂	—	12	2	no	—
1446	C₂	—	12	2	no	—
1447	C₂	—	24	1	no	—
1448	C₂	#86171	1	1	yes	characteristic
1449	C₂	#86279	1	1	yes	characteristic
1450	C₂	#86489	1	1	yes	characteristic
1451	C₂	#86815	1	1	yes	characteristic
1452	C₂	#86910	1	1	yes	characteristic
1453	C₂	#86937	1	1	yes	characteristic
1454	C₂	#86951	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₃
commutator, socle, cosocle	C₂³×C₃	C₂⁵
Fitting	C₃×#2522	C₂
prime radical	C₂×#882	C₂²
hypercenter	#2522	D₃
hypocenter	C₃	#45466
LCS	G ▷ C₂³×C₃ ▷ C₃
UCS	C₁ ◁ C₂³ ◁ #2522

Complements

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

N	H ≅ G/N	type
1. C₃×#2522	C₂	semidirect
3. #78080	C₂	semidirect
4. #78015	C₂	semidirect
5. #78006	C₂	semidirect
6. #77993	C₂	semidirect
7. #77972	C₂	semidirect
8. #77446	C₂	semidirect
9. #77442	C₂	semidirect
10. #76264	C₂	semidirect
11. #76246	C₂	semidirect
12. #76207	C₂	semidirect
13. #76022	C₂	semidirect
14. #75936	C₂	semidirect
16. #75774	C₂	semidirect
17. #75754	C₂	semidirect
18. #75401	C₂	semidirect
19. #75371	C₂	semidirect
20. #75357	C₂	semidirect
21. #75325	C₂	semidirect
22. #75314	C₂	semidirect
23. #75016	C₂	semidirect
25. #74433	C₂	semidirect
26. #74049	C₂	semidirect
27. #73948	C₂	semidirect
28. #73813	C₂	semidirect
29. #73794	C₂	semidirect
30. #73561	C₂	semidirect
31. #73538	C₂	semidirect
41. C₂×#887	C₂²	semidirect
43. C₂×#876	C₂²	semidirect
47. C₃×#398	C₂²	semidirect
48. C₃×#398	C₂²	semidirect
50. C₃×#389	C₂²	semidirect
51. C₃×#389	C₂²	semidirect
54. C₃×#387	C₂²	semidirect
55. C₃×#387	C₂²	semidirect
56. C₃×#387	C₂²	semidirect
59. C₃×C₄×C₄⋊C₄	C₂²	semidirect
66. #4994	C₂²	semidirect
67. #4994	C₂²	semidirect
72. #4992	C₂²	semidirect
81. #4989	C₂²	semidirect
82. #4989	C₂²	semidirect
86. #4987	C₂²	semidirect
87. #4986	C₂²	semidirect
88. #4986	C₂²	semidirect
89. #4985	C₂²	semidirect
90. #4985	C₂²	semidirect
91. #4985	C₂²	semidirect
92. #4982	C₂²	semidirect
93. #4981	C₂²	semidirect
94. #4981	C₂²	semidirect
95. #4980	C₂²	semidirect
96. #4980	C₂²	semidirect
97. #4980	C₂²	semidirect
98. #4980	C₂²	semidirect
99. #4979	C₂²	semidirect
100. #4979	C₂²	semidirect
101. #4976	C₂²	semidirect
102. #4976	C₂²	semidirect
103. #4972	C₂²	semidirect
130. #4940	C₂²	semidirect
131. #4940	C₂²	semidirect
135. #4937	C₂²	semidirect
136. #4936	C₂²	semidirect
137. #4933	C₂²	semidirect
138. C₄×Dic₃⋊C₄	C₂²	semidirect
139. #4928	C₂²	semidirect
143. #4675	C₂²	semidirect
146. #4673	C₂²	semidirect
147. #4673	C₂²	semidirect
151. #4670	C₂²	semidirect
152. #4670	C₂²	semidirect
153. #4670	C₂²	semidirect
163. #4666	C₂²	semidirect
171. #4657	C₂²	semidirect
172. #4657	C₂²	semidirect
173. #4657	C₂²	semidirect
174. #4657	C₂²	semidirect
175. #4657	C₂²	semidirect
176. #4656	C₂²	semidirect
177. #4655	C₂²	semidirect
178. #4654	C₂²	semidirect
179. #4653	C₂²	semidirect
180. #4653	C₂²	semidirect
181. #4653	C₂²	semidirect
182. #4652	C₂²	semidirect
183. #4652	C₂²	semidirect
184. #4651	C₂²	semidirect
185. #4650	C₂²	semidirect
186. #4646	C₂²	semidirect
187. #4646	C₂²	semidirect
210. #2522	D₃	semidirect
417. #398	C₂×D₃	semidirect
418. #398	C₂×D₃	semidirect
459. #389	C₂×D₃	semidirect
460. #389	C₂×D₃	semidirect
495. #387	C₂×D₃	semidirect
496. #387	C₂×D₃	semidirect
497. #387	C₂×D₃	semidirect
538. C₄×C₄⋊C₄	C₂×D₃	semidirect
1443. C₃	#45466	semidirect

Maximal subgroups

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

subgroup	index
C₃×#2522	2
#78116	2
#78080	2
#78015	2
#78006	2
#77993	2
#77972	2
#77446	2
#77442	2
#76264	2
#76246	2
#76207	2
#76022	2
#75936	2
#75923	2
#75774	2
#75754	2
#75401	2
#75371	2
#75357	2
#75325	2
#75314	2
#75016	2
#74656	2
#74433	2
#74049	2
#73948	2
#73813	2
#73794	2
#73561	2
#73538	2
#45466	3