Subgroups — #10959801

Order 768.

2060 conjugacy classes of subgroups.

The subgroup lattice has 1384 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#5694	C₂	1	1	yes	maximal, characteristic
2	C₃×#2336	C₂	1	1	yes	maximal, characteristic, complemented
3	#83027	C₂	1	1	yes	maximal, characteristic, complemented
4	#75976	C₂	1	1	yes	maximal, characteristic, complemented
5	#75975	C₂	1	1	yes	maximal, characteristic, complemented
6	#75968	C₂	1	1	yes	maximal, characteristic, complemented
7	#75963	C₂	1	1	yes	maximal, characteristic, complemented
8	#75314	C₂	1	1	yes	maximal, characteristic, complemented
9	#75311	C₂	1	1	yes	maximal, characteristic, complemented
10	#75308	C₂	1	1	yes	maximal, characteristic
11	#75304	C₂	1	1	yes	maximal, characteristic, complemented
12	#75303	C₂	1	1	yes	maximal, characteristic, complemented
13	#75303	C₂	1	1	yes	maximal, characteristic, complemented
14	#75300	C₂	1	1	yes	maximal, characteristic, complemented
15	#75300	C₂	1	1	yes	maximal, characteristic, complemented
16	#75297	C₂	1	1	yes	maximal, characteristic
17	D₃×#387	C₂	1	1	yes	maximal, characteristic, complemented
18	#74980	C₂	1	1	yes	maximal, characteristic, complemented
19	#74978	C₂	1	1	yes	maximal, characteristic, complemented
20	#74974	C₂	1	1	yes	maximal, characteristic, complemented
21	#74961	C₂	1	1	yes	maximal, characteristic, complemented
22	#74960	C₂	1	1	yes	maximal, characteristic, complemented
23	#74944	C₂	1	1	yes	maximal, characteristic, complemented
24	#74295	C₂	1	1	yes	maximal, characteristic
25	#74260	C₂	1	1	yes	maximal, characteristic, complemented
26	#73772	C₂	1	1	yes	maximal, characteristic
27	#73770	C₂	1	1	yes	maximal, characteristic
28	C₄×#894	C₂	1	1	yes	maximal, characteristic
29	#73660	C₂	1	1	yes	maximal, characteristic, complemented
30	#73642	C₂	1	1	yes	maximal, characteristic, complemented
31	#73626	C₂	1	1	yes	maximal, characteristic, complemented
32	#34459	—	3	1	no	maximal, Sylow
33	C₂×C₃×#125	C₂²	1	1	yes	characteristic
34	#5694	C₄	1	16	yes	complemented
35	C₂×#898	C₂²	1	1	yes	characteristic
36	C₂×#898	C₂²	1	1	yes	characteristic
37	C₂×#897	C₂²	1	1	yes	characteristic
38	C₂×#897	C₂²	1	1	yes	characteristic
39	C₂×#894	C₂²	1	1	yes	characteristic
40	C₂×#894	C₂²	1	1	yes	characteristic
41	C₂×#892	C₂²	1	1	yes	characteristic
42	C₂×#892	C₂²	1	1	yes	characteristic
43	C₂×#892	C₂²	1	1	yes	characteristic
44	C₂×#892	C₂²	1	1	yes	characteristic
45	C₂×D₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
46	C₂×D₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
47	C₂×#890	C₂²	1	1	yes	characteristic
48	C₂×#890	C₂²	1	1	yes	characteristic
49	C₂×C₄×D₁₂	C₂²	1	1	yes	characteristic
50	C₂×C₄×D₁₂	C₂²	1	1	yes	characteristic
51	C₂×C₄×D₁₂	C₂²	1	1	yes	characteristic
52	C₂×#872	C₂²	1	1	yes	characteristic
53	C₂×C₄²×D₃	C₂²	1	1	yes	characteristic
54	C₂×C₄×Dic₆	C₂²	1	1	yes	characteristic
55	C₃×#389	C₂²	1	1	yes	characteristic
56	C₃×#389	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×#387	C₂²	1	1	yes	characteristic
61	C₃×#387	C₂²	1	1	yes	characteristic
62	C₃×#387	C₂²	1	1	yes	characteristic
63	C₃×#387	C₂²	1	1	yes	characteristic
64	C₃×#387	C₂²	1	1	yes	characteristic
65	C₃×#383	C₂²	1	1	yes	characteristic
66	C₃×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic
67	C₃×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic
68	C₃×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic
69	#4990	C₂²	1	1	yes	characteristic
70	#4990	C₂²	1	1	yes	characteristic
71	#4989	C₂²	1	1	yes	characteristic
72	#4989	C₂²	1	1	yes	characteristic
73	#4989	C₂²	1	1	yes	characteristic
74	#4989	C₂²	1	1	yes	characteristic
75	#4989	C₂²	1	1	yes	characteristic
76	#4989	C₂²	1	1	yes	characteristic
77	#4989	C₂²	1	1	yes	characteristic
78	#4989	C₂²	1	1	yes	characteristic
79	#4984	C₂²	1	1	yes	characteristic
80	#4984	C₂²	1	1	yes	characteristic
81	#4984	C₂²	1	1	yes	characteristic
82	#4984	C₂²	1	1	yes	characteristic
83	#4980	C₂²	1	1	yes	characteristic
84	#4980	C₂²	1	1	yes	characteristic
85	#4980	C₂²	1	1	yes	characteristic
86	#4980	C₂²	1	1	yes	characteristic
87	#4980	C₂²	1	1	yes	characteristic
88	#4980	C₂²	1	1	yes	characteristic
89	#4980	C₂²	1	1	yes	characteristic
90	#4980	C₂²	1	1	yes	characteristic
91	#4978	C₂²	1	1	yes	characteristic
92	#4977	C₂²	1	1	yes	characteristic
93	#4976	C₂²	1	1	yes	characteristic
94	#4975	C₂²	1	1	yes	characteristic
95	#4975	C₂²	1	1	yes	characteristic
96	Dic₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
97	Dic₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
98	Dic₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
99	Dic₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
100	#4972	C₂²	1	1	yes	characteristic
101	#4972	C₂²	1	1	yes	characteristic
102	#4972	C₂²	1	1	yes	characteristic
103	#4940	C₂²	1	1	yes	characteristic
104	#4940	C₂²	1	1	yes	characteristic
105	C₄×(C₂×D₃)⋊C₄	C₂²	1	1	yes	characteristic
106	C₄×(C₂×D₃)⋊C₄	C₂²	1	1	yes	characteristic
107	C₄×(C₂×D₃)⋊C₄	C₂²	1	1	yes	characteristic
108	C₄×(C₂×D₃)⋊C₄	C₂²	1	1	yes	characteristic
109	#4936	C₂²	1	1	yes	characteristic
110	#4936	C₂²	1	1	yes	characteristic
111	C₄×C₄⋊Dic₃	C₂²	1	1	yes	characteristic
112	#4933	C₂²	1	1	yes	characteristic
113	#4933	C₂²	1	1	yes	characteristic
114	#4933	C₂²	1	1	yes	characteristic
115	#4932	C₂²	1	1	yes	characteristic
116	C₄×Dic₃⋊C₄	C₂²	1	1	yes	characteristic
117	C₄×Dic₃⋊C₄	C₂²	1	1	yes	characteristic
118	C₄×Dic₃⋊C₄	C₂²	1	1	yes	characteristic
119	C₄×Dic₃⋊C₄	C₂²	1	1	yes	characteristic
120	#4928	C₂²	1	1	yes	characteristic
121	#4928	C₂²	1	1	yes	characteristic
122	#4928	C₂²	1	1	yes	characteristic
123	#4928	C₂²	1	1	yes	characteristic
124	#4928	C₂²	1	1	yes	characteristic
125	#4670	C₂²	1	1	yes	characteristic
126	#4670	C₂²	1	1	yes	characteristic
127	#4670	C₂²	1	1	yes	characteristic
128	#4670	C₂²	1	1	yes	characteristic
129	#4669	C₂²	1	1	yes	characteristic
130	#4669	C₂²	1	1	yes	characteristic
131	#4668	C₂²	1	1	yes	characteristic
132	#4668	C₂²	1	1	yes	characteristic
133	#4668	C₂²	1	1	yes	characteristic
134	#4668	C₂²	1	1	yes	characteristic
135	#4668	C₂²	1	1	yes	characteristic
136	#4668	C₂²	1	1	yes	characteristic
137	#4667	C₂²	1	1	yes	characteristic
138	#4667	C₂²	1	1	yes	characteristic
139	#4667	C₂²	1	1	yes	characteristic
140	#4666	C₂²	1	1	yes	characteristic
141	#4666	C₂²	1	1	yes	characteristic
142	#4666	C₂²	1	1	yes	characteristic
143	#4666	C₂²	1	1	yes	characteristic
144	#4666	C₂²	1	1	yes	characteristic
145	#4665	C₂²	1	1	yes	characteristic
146	#4665	C₂²	1	1	yes	characteristic
147	#4664	C₂²	1	1	yes	characteristic
148	#4664	C₂²	1	1	yes	characteristic
149	#4664	C₂²	1	1	yes	characteristic
150	D₃×#95	C₂²	1	1	yes	characteristic
151	D₃×#95	C₂²	1	1	yes	characteristic
152	D₃×#95	C₂²	1	1	yes	characteristic
153	D₃×#95	C₂²	1	1	yes	characteristic
154	D₃×#95	C₂²	1	1	yes	characteristic
155	#4655	C₂²	1	1	yes	characteristic
156	#4655	C₂²	1	1	yes	characteristic
157	#4655	C₂²	1	1	yes	characteristic
158	#4654	C₂²	1	1	yes	characteristic
159	#4654	C₂²	1	1	yes	characteristic
160	#4654	C₂²	1	1	yes	characteristic
161	#4654	C₂²	1	1	yes	characteristic
162	#4654	C₂²	1	1	yes	characteristic
163	#4654	C₂²	1	1	yes	characteristic
164	#4654	C₂²	1	1	yes	characteristic
165	#4654	C₂²	1	1	yes	characteristic
166	#4653	C₂²	1	1	yes	characteristic
167	#4653	C₂²	1	1	yes	characteristic
168	#4653	C₂²	1	1	yes	characteristic
169	#4653	C₂²	1	1	yes	characteristic
170	#4653	C₂²	1	1	yes	characteristic
171	#4653	C₂²	1	1	yes	characteristic
172	#4652	C₂²	1	1	yes	characteristic
173	#4651	C₂²	1	1	yes	characteristic
174	#4651	C₂²	1	1	yes	characteristic
175	#4650	C₂²	1	1	yes	characteristic
176	#4650	C₂²	1	1	yes	characteristic
177	#4650	C₂²	1	1	yes	characteristic
178	#4649	C₂²	1	1	yes	characteristic
179	#4649	C₂²	1	1	yes	characteristic
180	#4649	C₂²	1	1	yes	characteristic
181	#4648	C₂²	1	1	yes	characteristic
182	#4647	C₂²	1	1	yes	characteristic
183	#4647	C₂²	1	1	yes	characteristic
184	#4647	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	#4646	C₂²	1	1	yes	characteristic
189	C₂×#552	—	3	1	no	—
190	#2383	—	3	1	no	—
191	#2382	—	3	1	no	—
192	#2382	—	3	1	no	—
193	#2378	—	3	1	no	—
194	#2373	—	3	1	no	—
195	#2370	—	3	1	no	—
196	#2368	—	3	1	no	—
197	#2359	—	3	1	no	—
198	#2359	—	3	1	no	—
199	#2355	—	3	1	no	—
200	#2349	—	3	1	no	—
201	#2344	—	3	1	no	—
202	#2343	—	3	1	no	—
203	#2343	—	3	1	no	—
204	#2343	—	3	1	no	—
205	#2336	—	3	1	no	—
206	#2336	D₃	1	1	yes	characteristic, complemented
207	#2334	—	3	1	no	—
208	#2334	—	3	1	no	—
209	#2330	—	3	1	no	—
210	#2329	—	3	1	no	—
211	#2329	—	3	1	no	—
212	#2322	—	3	1	no	—
213	#2320	—	3	1	no	—
214	#2318	—	3	1	no	—
215	#2317	—	3	1	no	—
216	#2314	—	3	1	no	—
217	C₄×#123	—	3	1	no	—
218	#2296	—	3	1	no	—
219	C₂×#387	—	3	1	no	—
220	C₂²×D₁₂	C₂³	1	1	yes	characteristic
221	C₂²×C₄×D₃	C₂³	1	1	yes	characteristic
222	C₂²×C₄×D₃	C₂³	1	1	yes	characteristic
223	C₂²×C₄×D₃	C₂³	1	1	yes	characteristic
224	C₂²×C₄×D₃	C₂³	1	1	yes	characteristic
225	C₂²×C₄×D₃	C₂³	1	1	yes	characteristic
226	C₂²×C₄×D₃	C₂³	1	1	yes	characteristic
227	C₂²×C₄×D₃	C₂³	1	1	yes	characteristic
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×Dic₆	C₂³	1	1	yes	characteristic
232	C₃×#125	C₂×C₄	1	8	yes	complemented
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×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×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×C₃×C₄²	C₂³	1	1	yes	characteristic
250	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
251	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
252	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
253	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
254	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
255	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
256	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
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×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
282	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
283	C₂×C₄⋊Dic₃	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×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
299	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
300	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
301	C₂×Dic₃⋊C₄	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	#898	C₂×C₄	1	8	yes	complemented
321	#898	C₂×C₄	1	8	yes	complemented
322	#897	C₂×C₄	1	8	yes	complemented
323	#897	C₂×C₄	1	8	yes	complemented
324	#894	C₂×C₄	1	8	yes	—
325	#894	C₂×C₄	1	8	yes	—
326	#892	—	4	2	no	—
327	#892	C₂×C₄	1	8	yes	complemented
328	#892	C₂×C₄	1	8	yes	complemented
329	#892	C₂×C₄	1	8	yes	complemented
330	D₃×C₄⋊C₄	—	4	2	no	—
331	D₃×C₄⋊C₄	C₂×C₄	1	8	yes	complemented
332	#890	C₂×C₄	1	8	yes	complemented
333	#890	C₂×C₄	1	8	yes	complemented
334	C₄×D₁₂	—	4	2	no	—
335	C₄×D₁₂	—	4	2	no	—
336	C₄×D₁₂	C₂×C₄	1	8	yes	—
337	#872	—	4	2	no	—
338	C₄²×D₃	—	4	2	no	—
339	C₄×Dic₆	C₂×C₄	1	8	yes	complemented
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	C₃⋊#95	C₂³	1	1	yes	characteristic
390	C₃⋊#95	C₂³	1	1	yes	characteristic
391	C₃⋊#95	C₂³	1	1	yes	characteristic
392	C₃⋊#95	C₂³	1	1	yes	characteristic
393	C₃⋊#95	C₂³	1	1	yes	characteristic
394	C₃⋊#95	C₂³	1	1	yes	characteristic
395	C₃⋊#95	C₂³	1	1	yes	characteristic
396	#552	—	3	16	no	—
397	C₂×#126	—	3	1	no	—
398	C₂×#126	—	3	1	no	—
399	C₂×#125	—	3	1	no	—
400	C₂×#125	—	3	1	no	—
401	C₂×#125	C₂×D₃	1	1	yes	characteristic
402	C₂×#123	—	3	1	no	—
403	C₂×#123	—	3	1	no	—
404	C₂×C₂²⋊Q₈	—	3	1	no	—
405	C₂×C₂²⋊Q₈	—	3	1	no	—
406	C₂×C₄×Q₈	—	3	1	no	—
407	C₂×C₄×D₄	—	3	1	no	—
408	C₂×C₄×D₄	—	3	1	no	—
409	C₂×C₄×D₄	—	3	1	no	—
410	C₂×#117	—	3	1	no	—
411	C₂×#117	—	3	1	no	—
412	C₂×#117	—	3	1	no	—
413	C₂×#117	—	3	1	no	—
414	C₂×#117	—	3	1	no	—
415	C₂²×C₄⋊C₄	—	3	1	no	—
416	C₂²×C₄⋊C₄	—	3	1	no	—
417	C₂²×C₄²	—	3	1	no	—
418	#391	—	3	1	no	—
419	#391	—	3	1	no	—
420	#391	—	3	1	no	—
421	#391	—	3	1	no	—
422	#389	—	3	1	no	—
423	#389	—	3	1	no	—
424	#389	—	3	1	no	—
425	#389	—	3	1	no	—
426	#389	—	3	1	no	—
427	#389	—	3	1	no	—
428	#389	—	3	1	no	—
429	#389	—	3	1	no	—
430	#389	—	3	1	no	—
431	#389	—	3	1	no	—
432	#389	—	3	1	no	—
433	#389	—	3	1	no	—
434	#389	—	3	1	no	—
435	#389	—	3	1	no	—
436	#389	—	3	1	no	—
437	#389	—	3	1	no	—
438	#389	C₂×D₃	1	1	yes	characteristic
439	#389	C₂×D₃	1	1	yes	characteristic
440	#388	—	3	1	no	—
441	#388	—	3	1	no	—
442	#388	—	3	1	no	—
443	#388	—	3	1	no	—
444	#388	—	3	1	no	—
445	#388	—	3	1	no	—
446	#388	—	3	1	no	—
447	#388	—	3	1	no	—
448	#388	—	3	1	no	—
449	#388	—	3	1	no	—
450	#387	—	3	1	no	—
451	#387	—	3	1	no	—
452	#387	—	3	1	no	—
453	#387	—	3	1	no	—
454	#387	—	3	1	no	—
455	#387	—	3	1	no	—
456	#387	—	3	1	no	—
457	#387	—	3	1	no	—
458	#387	—	3	1	no	—
459	#387	—	3	1	no	—
460	#387	—	3	1	no	—
461	#387	—	3	1	no	—
462	#387	—	3	1	no	—
463	#387	—	3	1	no	—
464	#387	—	3	1	no	—
465	#387	—	3	1	no	—
466	#387	—	3	1	no	—
467	#387	—	3	1	no	—
468	#387	—	3	1	no	—
469	#387	—	3	1	no	—
470	#387	—	3	1	no	—
471	#387	—	3	1	no	—
472	#387	—	3	1	no	—
473	#387	—	3	1	no	—
474	#387	—	3	1	no	—
475	#387	—	3	1	no	—
476	#387	—	3	1	no	—
477	#387	—	3	1	no	—
478	#387	—	3	1	no	—
479	#387	—	3	1	no	—
480	#387	C₂×D₃	1	1	yes	characteristic
481	#387	C₂×D₃	1	1	yes	characteristic
482	#387	C₂×D₃	1	1	yes	characteristic
483	#387	C₂×D₃	1	1	yes	characteristic
484	#387	C₂×D₃	1	1	yes	characteristic
485	#387	C₂×D₃	1	1	yes	characteristic
486	#387	C₂×D₃	1	1	yes	characteristic
487	#387	C₂×D₃	1	1	yes	characteristic
488	#386	—	3	1	no	—
489	#386	—	3	1	no	—
490	#385	—	3	1	no	—
491	#385	—	3	1	no	—
492	#385	—	3	1	no	—
493	#385	—	3	1	no	—
494	#385	—	3	1	no	—
495	#385	—	3	1	no	—
496	#385	—	3	1	no	—
497	#385	—	3	1	no	—
498	#385	—	3	1	no	—
499	#385	—	3	1	no	—
500	#385	—	3	1	no	—
501	#385	—	3	1	no	—
502	#385	—	3	1	no	—
503	#385	—	3	1	no	—
504	#384	—	3	1	no	—
505	#384	—	3	1	no	—
506	#383	—	3	1	no	—
507	#383	—	3	1	no	—
508	#383	C₂×D₃	1	1	yes	characteristic
509	#382	—	3	1	no	—
510	#382	—	3	1	no	—
511	#382	—	3	1	no	—
512	#382	—	3	1	no	—
513	#382	—	3	1	no	—
514	#382	—	3	1	no	—
515	#381	—	3	1	no	—
516	#381	—	3	1	no	—
517	#381	—	3	1	no	—
518	#380	—	3	1	no	—
519	#380	—	3	1	no	—
520	#380	—	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	—	3	1	no	—
527	C₄×C₄⋊C₄	—	3	1	no	—
528	C₄×C₄⋊C₄	—	3	1	no	—
529	C₄×C₄⋊C₄	—	3	1	no	—
530	C₄×C₄⋊C₄	—	3	1	no	—
531	C₄×C₄⋊C₄	—	3	1	no	—
532	C₄×C₄⋊C₄	—	3	1	no	—
533	C₄×C₄⋊C₄	C₂×D₃	1	1	yes	characteristic
534	C₄×C₄⋊C₄	C₂×D₃	1	1	yes	characteristic
535	C₄×C₄⋊C₄	C₂×D₃	1	1	yes	characteristic
536	C₄×C₂²⋊C₄	—	3	1	no	—
537	C₄×C₂²⋊C₄	—	3	1	no	—
538	C₄×C₂²⋊C₄	—	3	1	no	—
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	—	3	1	no	—
544	C₄×C₂²⋊C₄	—	3	1	no	—
545	#376	—	3	1	no	—
546	#376	—	3	1	no	—
547	C₂×#95	—	3	1	no	—
548	C₂×#95	—	3	1	no	—
549	C₂×#95	—	3	1	no	—
550	C₂×#95	—	3	1	no	—
551	C₂×#95	—	3	1	no	—
552	C₂³×D₃	C₂⁴	1	1	yes	characteristic
553	C₂³×D₃	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	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×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	C₂×D₁₂	—	2	2	no	—
584	C₂×D₁₂	—	2	2	no	—
585	C₂×D₁₂	C₂²×C₄	1	4	yes	—
586	C₂×C₄×D₃	—	2	2	no	—
587	C₂×C₄×D₃	—	2	2	no	—
588	C₂×C₄×D₃	—	2	2	no	—
589	C₂×C₄×D₃	—	2	2	no	—
590	C₂×C₄×D₃	—	2	2	no	—
591	C₂×C₄×D₃	—	2	2	no	—
592	C₂×C₄×D₃	—	2	2	no	—
593	C₂×C₄×D₃	—	2	2	no	—
594	C₂×C₄×D₃	—	2	2	no	—
595	C₂×C₄×D₃	—	2	2	no	—
596	C₂×C₄×D₃	—	4	1	no	—
597	C₂×C₄×D₃	—	4	1	no	—
598	C₂×C₄×D₃	—	4	1	no	—
599	C₂×C₄×D₃	—	4	1	no	—
600	C₂×C₄×D₃	—	4	1	no	—
601	C₂×C₄×D₃	—	4	1	no	—
602	C₂×C₄×D₃	—	4	1	no	—
603	C₂×C₄×D₃	—	4	1	no	—
604	C₂×C₄×D₃	—	4	1	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	C₂²×C₄	1	4	yes	—
613	C₂×C₄×D₃	C₂²×C₄	1	4	yes	—
614	C₂×C₄×D₃	C₂²×C₄	1	4	yes	—
615	C₂×C₄×D₃	C₂²×C₄	1	4	yes	—
616	C₂×Dic₆	—	4	1	no	—
617	C₂×Dic₆	—	4	1	no	—
618	C₂×Dic₆	C₂²×C₄	1	4	yes	—
619	C₃×C₄⋊C₄	—	2	2	no	—
620	C₃×C₄⋊C₄	—	2	2	no	—
621	C₃×C₄⋊C₄	—	4	1	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	C₂²×C₄	1	4	yes	—
626	C₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
627	C₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
628	C₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
629	C₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
630	C₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
631	C₃×C₄²	—	2	2	no	—
632	C₃×C₄²	—	4	1	no	—
633	C₃×C₄²	—	4	1	no	—
634	C₃×C₄²	—	4	1	no	—
635	C₃×C₄²	—	4	1	no	—
636	C₃×C₄²	—	4	1	no	—
637	C₃×C₄²	C₂²×C₄	1	4	yes	—
638	(C₂×D₃)⋊C₄	—	2	2	no	—
639	(C₂×D₃)⋊C₄	—	2	2	no	—
640	(C₂×D₃)⋊C₄	—	2	2	no	—
641	(C₂×D₃)⋊C₄	—	2	2	no	—
642	(C₂×D₃)⋊C₄	—	4	1	no	—
643	(C₂×D₃)⋊C₄	—	4	1	no	—
644	(C₂×D₃)⋊C₄	—	4	1	no	—
645	(C₂×D₃)⋊C₄	—	4	1	no	—
646	(C₂×D₃)⋊C₄	—	4	1	no	—
647	(C₂×D₃)⋊C₄	—	4	1	no	—
648	(C₂×D₃)⋊C₄	C₂²×C₄	1	4	yes	—
649	(C₂×D₃)⋊C₄	C₂²×C₄	1	4	yes	—
650	(C₂×D₃)⋊C₄	C₂²×C₄	1	4	yes	—
651	(C₂×D₃)⋊C₄	C₂²×C₄	1	4	yes	—
652	(C₂×D₃)⋊C₄	C₂²×C₄	1	4	yes	—
653	(C₂×D₃)⋊C₄	C₂²×C₄	1	4	yes	—
654	(C₂×D₃)⋊C₄	C₂²×C₄	1	4	yes	—
655	(C₂×D₃)⋊C₄	C₂²×C₄	1	4	yes	—
656	C₄⋊Dic₃	—	4	1	no	—
657	C₄⋊Dic₃	—	4	1	no	—
658	C₄⋊Dic₃	—	4	1	no	—
659	C₄⋊Dic₃	—	4	1	no	—
660	C₄⋊Dic₃	—	4	1	no	—
661	C₄⋊Dic₃	—	4	1	no	—
662	C₄⋊Dic₃	—	4	1	no	—
663	C₄⋊Dic₃	—	4	1	no	—
664	C₄⋊Dic₃	C₂²×C₄	1	4	yes	—
665	C₄⋊Dic₃	C₂²×C₄	1	4	yes	—
666	C₄⋊Dic₃	C₂²×C₄	1	4	yes	—
667	C₄⋊Dic₃	C₂²×C₄	1	4	yes	—
668	C₄⋊Dic₃	C₂²×C₄	1	4	yes	—
669	C₄⋊Dic₃	C₂²×C₄	1	4	yes	—
670	Dic₃⋊C₄	—	4	1	no	—
671	Dic₃⋊C₄	—	4	1	no	—
672	Dic₃⋊C₄	—	4	1	no	—
673	Dic₃⋊C₄	—	4	1	no	—
674	Dic₃⋊C₄	—	4	1	no	—
675	Dic₃⋊C₄	—	4	1	no	—
676	Dic₃⋊C₄	—	4	1	no	—
677	Dic₃⋊C₄	—	4	1	no	—
678	Dic₃⋊C₄	—	4	1	no	—
679	Dic₃⋊C₄	—	4	1	no	—
680	Dic₃⋊C₄	—	4	1	no	—
681	Dic₃⋊C₄	—	4	1	no	—
682	Dic₃⋊C₄	—	4	1	no	—
683	Dic₃⋊C₄	—	4	1	no	—
684	Dic₃⋊C₄	C₂²×C₄	1	4	yes	—
685	Dic₃⋊C₄	C₂²×C₄	1	4	yes	—
686	Dic₃⋊C₄	C₂²×C₄	1	4	yes	—
687	Dic₃⋊C₄	C₂²×C₄	1	4	yes	—
688	C₄×Dic₃	—	4	1	no	—
689	C₄×Dic₃	—	4	1	no	—
690	C₄×Dic₃	—	4	1	no	—
691	C₄×Dic₃	—	4	1	no	—
692	C₄×Dic₃	—	4	1	no	—
693	C₄×Dic₃	—	4	1	no	—
694	C₄×Dic₃	—	4	1	no	—
695	C₄×Dic₃	—	4	1	no	—
696	C₄×Dic₃	—	4	1	no	—
697	C₄×Dic₃	—	4	1	no	—
698	C₄×Dic₃	—	4	1	no	—
699	C₄×Dic₃	—	4	1	no	—
700	C₄×Dic₃	—	4	1	no	—
701	C₄×Dic₃	—	4	1	no	—
702	C₄×Dic₃	C₂²×C₄	1	4	yes	—
703	C₄×Dic₃	C₂²×C₄	1	4	yes	—
704	C₄×Dic₃	C₂²×C₄	1	4	yes	—
705	C₄×Dic₃	C₂²×C₄	1	4	yes	—
706	C₂²×Q₈	—	3	1	no	—
707	C₂²×D₄	—	3	1	no	—
708	C₂³×C₄	—	3	1	no	—
709	C₂³×C₄	—	3	1	no	—
710	C₂³×C₄	—	3	1	no	—
711	C₂³×C₄	—	3	1	no	—
712	C₂³×C₄	—	3	1	no	—
713	C₂³×C₄	—	3	1	no	—
714	C₂³×C₄	—	3	1	no	—
715	C₂³×C₄	—	3	1	no	—
716	C₂³×C₄	—	3	1	no	—
717	C₂³×C₄	—	3	1	no	—
718	#126	—	3	8	no	—
719	#126	—	3	8	no	—
720	#125	—	3	8	no	—
721	#125	—	3	8	no	—
722	#125	C₄×D₃	1	8	yes	complemented
723	#123	—	3	8	no	—
724	#123	—	3	8	no	—
725	C₂²⋊Q₈	—	3	8	no	—
726	C₂²⋊Q₈	—	3	8	no	—
727	C₄×Q₈	—	3	8	no	—
728	C₄×D₄	—	3	8	no	—
729	C₄×D₄	—	12	2	no	—
730	C₄×D₄	—	12	2	no	—
731	#117	—	3	8	no	—
732	#117	—	3	8	no	—
733	#117	—	3	8	no	—
734	#117	—	12	2	no	—
735	#117	—	12	2	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	—	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	8	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	—	3	1	no	—
765	C₂×C₄⋊C₄	—	3	1	no	—
766	C₂×C₄⋊C₄	—	3	1	no	—
767	C₂×C₄⋊C₄	—	3	1	no	—
768	C₂×C₄⋊C₄	—	3	1	no	—
769	C₂×C₄⋊C₄	—	12	2	no	—
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×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
777	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
778	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
779	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
780	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
781	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
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×C₄²	—	3	1	no	—
801	C₂×C₄²	—	3	1	no	—
802	C₂×C₄²	—	3	1	no	—
803	C₂×C₄²	—	3	1	no	—
804	C₂×C₄²	—	3	1	no	—
805	C₂×C₄²	—	3	1	no	—
806	C₂×C₄²	—	3	1	no	—
807	C₂×C₄²	—	3	1	no	—
808	C₂×C₄²	—	3	1	no	—
809	C₂×C₄²	—	3	1	no	—
810	C₂×C₄²	—	3	1	no	—
811	C₂×C₄²	—	3	1	no	—
812	C₂×C₄²	—	3	1	no	—
813	C₂×C₄²	—	3	1	no	—
814	C₂×C₄²	—	3	1	no	—
815	C₂×C₄²	—	3	1	no	—
816	C₂×C₄²	—	3	1	no	—
817	C₂×C₄²	—	3	1	no	—
818	C₂×C₄²	—	12	2	no	—
819	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
820	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
821	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
822	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
823	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
824	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
825	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
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	—	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	C₂²×D₃	1	1	yes	characteristic
867	#95	C₂²×D₃	1	1	yes	characteristic
868	#95	C₂²×D₃	1	1	yes	characteristic
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	#95	C₂²×D₃	1	1	yes	characteristic
882	C₂³×C₃	C₂⁵	1	1	yes	characteristic
883	C₂²×D₃	—	2	1	no	—
884	C₂²×D₃	—	2	1	no	—
885	C₂²×D₃	—	2	1	no	—
886	C₂²×D₃	—	2	1	no	—
887	C₂²×D₃	—	2	1	no	—
888	C₂²×D₃	—	2	1	no	—
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	C₂³×C₄	1	2	yes	—
894	C₂²×D₃	C₂³×C₄	1	2	yes	—
895	C₂²×D₃	H(5,𝔽₂)	1	2	yes	—
896	C₂²×D₃	2₋¹⁺⁴	1	2	yes	—
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	—	2	1	no	—
912	C₂×C₃×C₄	—	2	1	no	—
913	C₂×C₃×C₄	—	2	1	no	—
914	C₂×C₃×C₄	—	2	1	no	—
915	C₂×C₃×C₄	—	2	1	no	—
916	C₂×C₃×C₄	—	2	1	no	—
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	C₂³×C₄	1	2	yes	—
935	C₂×C₃×C₄	C₂³×C₄	1	2	yes	—
936	C₂×C₃×C₄	C₂³×C₄	1	2	yes	—
937	C₂×C₃×C₄	C₂³×C₄	1	2	yes	—
938	C₂×C₃×C₄	C₂³×C₄	1	2	yes	—
939	C₂×C₃×C₄	C₂³×C₄	1	2	yes	—
940	C₂×C₃×C₄	C₂³×C₄	1	2	yes	—
941	C₂×C₃×C₄	2₋¹⁺⁴	1	2	yes	—
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	—	2	1	no	—
956	C₂×Dic₃	—	2	1	no	—
957	C₂×Dic₃	—	2	1	no	—
958	C₂×Dic₃	—	2	1	no	—
959	C₂×Dic₃	—	2	1	no	—
960	C₂×Dic₃	—	2	1	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	C₂³×C₄	1	2	yes	—
979	C₂×Dic₃	C₂³×C₄	1	2	yes	—
980	C₂×Dic₃	C₂³×C₄	1	2	yes	—
981	C₂×Dic₃	C₂³×C₄	1	2	yes	—
982	C₂×Dic₃	C₂³×C₄	1	2	yes	—
983	C₂×Dic₃	C₂³×C₄	1	2	yes	—
984	D₁₂	—	2	8	no	—
985	C₄×D₃	—	2	8	no	—
986	C₄×D₃	—	2	8	no	—
987	C₄×D₃	—	4	4	no	—
988	C₄×D₃	—	4	4	no	—
989	C₄×D₃	—	4	4	no	—
990	C₄×D₃	—	4	4	no	—
991	C₄×D₃	—	8	2	no	—
992	C₄×D₃	—	8	2	no	—
993	C₄×D₃	—	8	2	no	—
994	C₄×D₃	—	8	2	no	—
995	Dic₆	—	4	4	no	—
996	C₂⁴	—	3	1	no	—
997	C₂⁴	—	3	1	no	—
998	C₂×Q₈	—	3	4	no	—
999	C₂×Q₈	—	12	1	no	—
1000	C₂×Q₈	—	12	1	no	—
1001	C₂×D₄	—	3	4	no	—
1002	C₂×D₄	—	6	2	no	—
1003	C₂×D₄	—	6	2	no	—
1004	C₂²×C₄	—	3	1	no	—
1005	C₂²×C₄	—	3	1	no	—
1006	C₂²×C₄	—	3	1	no	—
1007	C₂²×C₄	—	3	1	no	—
1008	C₂²×C₄	—	3	1	no	—
1009	C₂²×C₄	—	3	1	no	—
1010	C₂²×C₄	—	3	4	no	—
1011	C₂²×C₄	—	3	4	no	—
1012	C₂²×C₄	—	3	4	no	—
1013	C₂²×C₄	—	3	4	no	—
1014	C₂²×C₄	—	3	1	no	—
1015	C₂²×C₄	—	3	1	no	—
1016	C₂²×C₄	—	3	1	no	—
1017	C₂²×C₄	—	3	1	no	—
1018	C₂²×C₄	—	3	1	no	—
1019	C₂²×C₄	—	3	1	no	—
1020	C₂²×C₄	—	3	1	no	—
1021	C₂²×C₄	—	3	1	no	—
1022	C₂²×C₄	—	6	2	no	—
1023	C₂²×C₄	—	6	2	no	—
1024	C₂²×C₄	—	6	2	no	—
1025	C₂²×C₄	—	6	2	no	—
1026	C₂²×C₄	—	6	2	no	—
1027	C₂²×C₄	—	6	2	no	—
1028	C₂²×C₄	—	6	2	no	—
1029	C₂²×C₄	—	6	2	no	—
1030	C₂²×C₄	—	6	2	no	—
1031	C₂²×C₄	—	6	2	no	—
1032	C₂²×C₄	—	12	1	no	—
1033	C₂²×C₄	—	12	1	no	—
1034	C₂²×C₄	—	12	1	no	—
1035	C₂²×C₄	—	12	1	no	—
1036	C₂²×C₄	—	12	1	no	—
1037	C₂²×C₄	—	12	1	no	—
1038	C₂²×C₄	—	12	1	no	—
1039	C₂²×C₄	—	12	1	no	—
1040	C₂²×C₄	—	12	1	no	—
1041	C₂²×C₄	—	12	1	no	—
1042	C₂²×C₄	—	12	1	no	—
1043	C₂²×C₄	—	12	1	no	—
1044	C₂²×C₄	—	12	1	no	—
1045	C₂²×C₄	—	12	1	no	—
1046	C₂²×C₄	—	12	1	no	—
1047	C₂²×C₄	—	12	1	no	—
1048	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1049	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1050	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1051	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1052	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1053	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1054	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1055	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1056	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1057	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1058	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1059	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1060	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1061	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1062	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1063	C₄⋊C₄	—	2	2	no	—
1064	C₄⋊C₄	—	2	2	no	—
1065	C₄⋊C₄	—	3	4	no	—
1066	C₄⋊C₄	—	3	4	no	—
1067	C₄⋊C₄	—	3	4	no	—
1068	C₄⋊C₄	—	3	4	no	—
1069	C₄⋊C₄	—	3	4	no	—
1070	C₄⋊C₄	—	3	4	no	—
1071	C₄⋊C₄	—	3	4	no	—
1072	C₄⋊C₄	—	3	4	no	—
1073	C₄⋊C₄	—	3	4	no	—
1074	C₄⋊C₄	—	3	4	no	—
1075	C₄⋊C₄	—	4	1	no	—
1076	C₄⋊C₄	—	4	1	no	—
1077	C₄⋊C₄	—	4	1	no	—
1078	C₄⋊C₄	—	4	1	no	—
1079	C₄⋊C₄	—	12	1	no	—
1080	C₄⋊C₄	—	12	1	no	—
1081	C₄⋊C₄	—	12	1	no	—
1082	C₄⋊C₄	—	12	1	no	—
1083	C₄⋊C₄	—	12	1	no	—
1084	C₄⋊C₄	—	12	1	no	—
1085	C₄⋊C₄	—	12	1	no	—
1086	C₄⋊C₄	—	12	1	no	—
1087	C₄⋊C₄	—	12	1	no	—
1088	C₄⋊C₄	—	12	1	no	—
1089	C₄⋊C₄	—	12	1	no	—
1090	C₄⋊C₄	—	12	1	no	—
1091	C₄⋊C₄	—	12	1	no	—
1092	C₄⋊C₄	—	12	1	no	—
1093	C₄⋊C₄	—	12	1	no	—
1094	C₄⋊C₄	—	12	1	no	—
1095	C₄⋊C₄	—	12	1	no	—
1096	C₄⋊C₄	—	12	1	no	—
1097	C₄⋊C₄	—	12	1	no	—
1098	C₄⋊C₄	—	12	1	no	—
1099	C₄⋊C₄	—	12	1	no	—
1100	C₄⋊C₄	—	12	1	no	—
1101	C₄⋊C₄	C₂×C₄×D₃	1	4	yes	—
1102	C₄⋊C₄	C₂×C₄×D₃	1	4	yes	—
1103	C₄⋊C₄	C₂×C₄×D₃	1	4	yes	—
1104	C₄⋊C₄	C₂×C₄×D₃	1	4	yes	—
1105	C₄⋊C₄	C₂×C₄×D₃	1	4	yes	—
1106	C₄⋊C₄	C₂×C₄×D₃	1	4	yes	—
1107	C₂²⋊C₄	—	3	4	no	—
1108	C₂²⋊C₄	—	3	4	no	—
1109	C₂²⋊C₄	—	3	4	no	—
1110	C₂²⋊C₄	—	3	4	no	—
1111	C₂²⋊C₄	—	3	4	no	—
1112	C₂²⋊C₄	—	3	4	no	—
1113	C₂²⋊C₄	—	3	4	no	—
1114	C₂²⋊C₄	—	3	4	no	—
1115	C₂²⋊C₄	—	6	2	no	—
1116	C₂²⋊C₄	—	6	2	no	—
1117	C₂²⋊C₄	—	6	2	no	—
1118	C₂²⋊C₄	—	6	2	no	—
1119	C₂²⋊C₄	—	12	1	no	—
1120	C₂²⋊C₄	—	12	1	no	—
1121	C₂²⋊C₄	—	12	1	no	—
1122	C₂²⋊C₄	—	12	1	no	—
1123	C₂²⋊C₄	—	12	1	no	—
1124	C₂²⋊C₄	—	12	1	no	—
1125	C₄²	—	2	2	no	—
1126	C₄²	—	3	4	no	—
1127	C₄²	—	3	4	no	—
1128	C₄²	—	3	4	no	—
1129	C₄²	—	3	4	no	—
1130	C₄²	—	4	1	no	—
1131	C₄²	—	4	1	no	—
1132	C₄²	—	4	1	no	—
1133	C₄²	—	4	1	no	—
1134	C₄²	—	4	1	no	—
1135	C₄²	—	12	1	no	—
1136	C₄²	—	12	1	no	—
1137	C₄²	—	12	1	no	—
1138	C₄²	—	12	1	no	—
1139	C₄²	—	12	1	no	—
1140	C₄²	—	12	1	no	—
1141	C₄²	—	12	1	no	—
1142	C₄²	—	12	1	no	—
1143	C₄²	—	12	1	no	—
1144	C₄²	—	12	1	no	—
1145	C₄²	—	12	1	no	—
1146	C₄²	—	12	1	no	—
1147	C₄²	—	12	1	no	—
1148	C₄²	—	12	1	no	—
1149	C₄²	C₂×C₄×D₃	1	4	yes	—
1150	C₂²×C₃	C₂⁴×C₄	1	1	yes	characteristic
1151	C₂²×C₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1152	C₂²×C₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1153	C₂²×C₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1154	C₂²×C₃	#585	1	1	yes	characteristic
1155	C₂²×C₃	#585	1	1	yes	characteristic
1156	C₂²×C₃	#585	1	1	yes	characteristic
1157	C₂×D₃	—	2	2	no	—
1158	C₂×D₃	—	2	2	no	—
1159	C₂×D₃	—	2	2	no	—
1160	C₂×D₃	—	2	2	no	—
1161	C₂×D₃	—	2	2	no	—
1162	C₂×D₃	—	2	2	no	—
1163	C₂×D₃	—	2	2	no	—
1164	C₂×D₃	—	2	2	no	—
1165	C₂×D₃	—	2	2	no	—
1166	C₂×D₃	—	4	1	no	—
1167	C₂×D₃	—	4	1	no	—
1168	C₂×D₃	—	4	1	no	—
1169	C₂×D₃	—	4	1	no	—
1170	C₂×D₃	#520	1	4	yes	—
1171	C₃×C₄	—	2	2	no	—
1172	C₃×C₄	—	2	2	no	—
1173	C₃×C₄	—	2	2	no	—
1174	C₃×C₄	—	2	2	no	—
1175	C₃×C₄	—	2	2	no	—
1176	C₃×C₄	—	2	2	no	—
1177	C₃×C₄	—	2	2	no	—
1178	C₃×C₄	—	2	2	no	—
1179	C₃×C₄	—	4	1	no	—
1180	C₃×C₄	—	4	1	no	—
1181	C₃×C₄	—	4	1	no	—
1182	C₃×C₄	—	4	1	no	—
1183	C₃×C₄	—	4	1	no	—
1184	C₃×C₄	—	4	1	no	—
1185	C₃×C₄	—	4	1	no	—
1186	Dic₃	—	2	2	no	—
1187	Dic₃	—	2	2	no	—
1188	Dic₃	—	2	2	no	—
1189	Dic₃	—	2	2	no	—
1190	Dic₃	—	2	2	no	—
1191	Dic₃	—	2	2	no	—
1192	Dic₃	—	4	1	no	—
1193	Dic₃	—	4	1	no	—
1194	Dic₃	—	4	1	no	—
1195	Dic₃	—	4	1	no	—
1196	Dic₃	—	4	1	no	—
1197	Dic₃	—	4	1	no	—
1198	Dic₃	—	4	1	no	—
1199	Dic₃	—	4	1	no	—
1200	C₂³	—	3	2	no	—
1201	C₂³	—	3	2	no	—
1202	C₂³	—	3	2	no	—
1203	C₂³	—	3	2	no	—
1204	C₂³	—	6	1	no	—
1205	C₂³	—	6	1	no	—
1206	C₂³	—	6	1	no	—
1207	C₂³	—	6	1	no	—
1208	C₂³	—	6	1	no	—
1209	C₂³	—	6	1	no	—
1210	C₂³	—	6	1	no	—
1211	C₂³	—	6	1	no	—
1212	C₂³	—	6	1	no	—
1213	C₂³	—	6	1	no	—
1214	C₂³	C₂⁴×D₃	1	1	yes	characteristic
1215	Q₈	—	12	4	no	—
1216	D₄	—	6	8	no	—
1217	C₂×C₄	—	2	1	no	—
1218	C₂×C₄	—	2	1	no	—
1219	C₂×C₄	—	2	1	no	—
1220	C₂×C₄	—	2	1	no	—
1221	C₂×C₄	—	2	1	no	—
1222	C₂×C₄	—	2	1	no	—
1223	C₂×C₄	—	2	1	no	—
1224	C₂×C₄	—	2	1	no	—
1225	C₂×C₄	—	2	1	no	—
1226	C₂×C₄	—	2	1	no	—
1227	C₂×C₄	—	2	1	no	—
1228	C₂×C₄	—	2	1	no	—
1229	C₂×C₄	—	2	1	no	—
1230	C₂×C₄	—	2	1	no	—
1231	C₂×C₄	—	2	1	no	—
1232	C₂×C₄	—	2	1	no	—
1233	C₂×C₄	—	2	1	no	—
1234	C₂×C₄	—	2	1	no	—
1235	C₂×C₄	—	2	1	no	—
1236	C₂×C₄	—	2	1	no	—
1237	C₂×C₄	—	2	1	no	—
1238	C₂×C₄	—	2	1	no	—
1239	C₂×C₄	—	2	1	no	—
1240	C₂×C₄	—	2	1	no	—
1241	C₂×C₄	—	2	1	no	—
1242	C₂×C₄	—	2	1	no	—
1243	C₂×C₄	—	2	1	no	—
1244	C₂×C₄	—	2	1	no	—
1245	C₂×C₄	—	2	1	no	—
1246	C₂×C₄	—	2	1	no	—
1247	C₂×C₄	—	2	1	no	—
1248	C₂×C₄	—	2	1	no	—
1249	C₂×C₄	—	2	1	no	—
1250	C₂×C₄	—	2	1	no	—
1251	C₂×C₄	—	2	1	no	—
1252	C₂×C₄	—	2	1	no	—
1253	C₂×C₄	—	2	1	no	—
1254	C₂×C₄	—	3	2	no	—
1255	C₂×C₄	—	3	2	no	—
1256	C₂×C₄	—	3	2	no	—
1257	C₂×C₄	—	3	2	no	—
1258	C₂×C₄	—	3	2	no	—
1259	C₂×C₄	—	3	2	no	—
1260	C₂×C₄	—	6	8	no	—
1261	C₂×C₄	—	6	8	no	—
1262	C₂×C₄	—	6	1	no	—
1263	C₂×C₄	—	6	1	no	—
1264	C₂×C₄	—	6	1	no	—
1265	C₂×C₄	—	6	1	no	—
1266	C₂×C₄	—	6	1	no	—
1267	C₂×C₄	—	6	1	no	—
1268	C₂×C₄	—	6	1	no	—
1269	C₂×C₄	—	6	1	no	—
1270	C₂×C₄	—	6	1	no	—
1271	C₂×C₄	—	6	1	no	—
1272	C₂×C₄	—	6	1	no	—
1273	C₂×C₄	—	6	1	no	—
1274	C₂×C₄	—	6	1	no	—
1275	C₂×C₄	—	6	1	no	—
1276	C₂×C₄	—	6	1	no	—
1277	C₂×C₄	—	6	1	no	—
1278	C₂×C₄	—	6	1	no	—
1279	C₂×C₄	—	6	1	no	—
1280	C₂×C₄	—	6	1	no	—
1281	C₂×C₄	—	6	1	no	—
1282	C₂×C₄	—	6	1	no	—
1283	C₂×C₄	—	6	1	no	—
1284	C₂×C₄	—	6	1	no	—
1285	C₂×C₄	—	6	1	no	—
1286	C₂×C₄	—	6	1	no	—
1287	C₂×C₄	—	6	1	no	—
1288	C₂×C₄	—	6	1	no	—
1289	C₂×C₄	—	6	1	no	—
1290	C₂×C₄	—	6	1	no	—
1291	C₂×C₄	—	6	1	no	—
1292	C₂×C₄	—	6	1	no	—
1293	C₂×C₄	—	6	1	no	—
1294	C₂×C₄	—	6	1	no	—
1295	C₂×C₄	—	6	1	no	—
1296	C₂×C₄	—	6	1	no	—
1297	C₂×C₄	—	6	1	no	—
1298	C₂×C₄	—	12	4	no	—
1299	C₂×C₄	—	12	4	no	—
1300	C₂×C₄	—	12	4	no	—
1301	C₂×C₄	—	12	4	no	—
1302	C₂×C₄	—	24	2	no	—
1303	C₂×C₄	—	24	2	no	—
1304	C₂×C₄	—	24	2	no	—
1305	C₂×C₄	—	24	2	no	—
1306	C₂×C₄	C₂²×C₄×D₃	1	2	yes	—
1307	C₂×C₄	C₂²×C₄×D₃	1	2	yes	—
1308	C₂×C₄	C₂²×C₄×D₃	1	2	yes	—
1309	C₂×C₄	C₂²×C₄×D₃	1	2	yes	—
1310	C₂×C₄	C₂²×C₄×D₃	1	2	yes	—
1311	C₂×C₄	C₂²×C₄×D₃	1	2	yes	—
1312	C₂×C₄	C₂²×C₄×D₃	1	2	yes	—
1313	C₂×C₄	#1010	1	2	yes	—
1314	C₂×C₃	C₂×#520	1	1	yes	characteristic
1315	C₂×C₃	#3428	1	1	yes	characteristic
1316	C₂×C₃	C₄×2₋¹⁺⁴	1	1	yes	characteristic
1317	C₂×C₃	#3533	1	1	yes	characteristic
1318	C₂×C₃	#3535	1	1	yes	characteristic
1319	C₂×C₃	#3563	1	1	yes	characteristic
1320	C₂×C₃	#3564	1	1	yes	characteristic
1321	D₃	—	2	4	no	—
1322	D₃	—	4	2	no	—
1323	C₂²	—	3	4	no	—
1324	C₂²	—	6	2	no	—
1325	C₂²	—	6	2	no	—
1326	C₂²	—	6	2	no	—
1327	C₂²	—	6	2	no	—
1328	C₂²	—	6	2	no	—
1329	C₂²	—	6	2	no	—
1330	C₂²	—	6	2	no	—
1331	C₂²	—	6	2	no	—
1332	C₂²	—	6	2	no	—
1333	C₂²	—	12	1	no	—
1334	C₂²	—	12	1	no	—
1335	C₂²	—	12	1	no	—
1336	C₂²	—	12	1	no	—
1337	C₂²	C₂³×C₄×D₃	1	1	yes	characteristic
1338	C₂²	C₂×#1010	1	1	yes	characteristic
1339	C₂²	#5964	1	1	yes	characteristic
1340	C₂²	D₃×H(5,𝔽₂)	1	1	yes	characteristic
1341	C₂²	D₃×2₋¹⁺⁴	1	1	yes	characteristic
1342	C₂²	#5968	1	1	yes	characteristic
1343	C₂²	#5968	1	1	yes	characteristic
1344	C₄	—	2	2	no	—
1345	C₄	—	2	2	no	—
1346	C₄	—	2	2	no	—
1347	C₄	—	2	2	no	—
1348	C₄	—	2	2	no	—
1349	C₄	—	2	2	no	—
1350	C₄	—	2	2	no	—
1351	C₄	—	2	2	no	—
1352	C₄	—	4	1	no	—
1353	C₄	—	4	1	no	—
1354	C₄	—	4	1	no	—
1355	C₄	—	4	1	no	—
1356	C₄	—	4	1	no	—
1357	C₄	—	4	1	no	—
1358	C₄	—	4	1	no	—
1359	C₄	—	6	2	no	—
1360	C₄	—	6	2	no	—
1361	C₄	—	6	2	no	—
1362	C₄	—	6	2	no	—
1363	C₄	—	6	2	no	—
1364	C₄	—	6	2	no	—
1365	C₄	—	12	1	no	—
1366	C₄	—	12	1	no	—
1367	C₄	—	12	1	no	—
1368	C₄	—	12	1	no	—
1369	C₄	—	12	1	no	—
1370	C₄	—	12	1	no	—
1371	C₄	—	12	1	no	—
1372	C₄	—	12	1	no	—
1373	C₃	#34459	1	1	yes	characteristic, complemented, Sylow
1374	C₂	—	6	4	no	—
1375	C₂	—	12	2	no	—
1376	C₂	C₄×#1010	1	1	yes	characteristic
1377	C₂	#85872	1	1	yes	characteristic
1378	C₂	D₃×#520	1	1	yes	characteristic
1379	C₂	#86457	1	1	yes	characteristic
1380	C₂	#86461	1	1	yes	characteristic
1381	C₂	#86520	1	1	yes	characteristic
1382	C₂	#86522	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₃
commutator	C₂²×C₃	C₂⁴×C₄
Fitting	C₃×#2336	C₂
socle, cosocle	C₂³×C₃	C₂⁵
prime radical	C₂²×D₁₂	C₂³
hypercenter	#2336	D₃
hypocenter	C₃	#34459
LCS	G ▷ C₂²×C₃ ▷ C₃
UCS	C₁ ◁ C₂³ ◁ #2336

Complements

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

N	H ≅ G/N	type
2. C₃×#2336	C₂	semidirect
3. #83027	C₂	semidirect
4. #75976	C₂	semidirect
5. #75975	C₂	semidirect
6. #75968	C₂	semidirect
7. #75963	C₂	semidirect
8. #75314	C₂	semidirect
9. #75311	C₂	semidirect
11. #75304	C₂	semidirect
12. #75303	C₂	semidirect
13. #75303	C₂	semidirect
14. #75300	C₂	semidirect
15. #75300	C₂	semidirect
17. D₃×#387	C₂	semidirect
18. #74980	C₂	semidirect
19. #74978	C₂	semidirect
20. #74974	C₂	semidirect
21. #74961	C₂	semidirect
22. #74960	C₂	semidirect
23. #74944	C₂	semidirect
25. #74260	C₂	semidirect
29. #73660	C₂	semidirect
30. #73642	C₂	semidirect
31. #73626	C₂	semidirect
34. #5694	C₄	semidirect
206. #2336	D₃	semidirect
232. C₃×#125	C₂×C₄	semidirect
320. #898	C₂×C₄	semidirect
321. #898	C₂×C₄	semidirect
322. #897	C₂×C₄	semidirect
323. #897	C₂×C₄	semidirect
327. #892	C₂×C₄	semidirect
328. #892	C₂×C₄	semidirect
329. #892	C₂×C₄	semidirect
331. D₃×C₄⋊C₄	C₂×C₄	semidirect
332. #890	C₂×C₄	semidirect
333. #890	C₂×C₄	semidirect
339. C₄×Dic₆	C₂×C₄	semidirect
722. #125	C₄×D₃	semidirect
1373. C₃	#34459	semidirect

Maximal subgroups

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

subgroup	index
C₂×#5694	2
C₃×#2336	2
#83027	2
#75976	2
#75975	2
#75968	2
#75963	2
#75314	2
#75311	2
#75308	2
#75304	2
#75303	2
#75300	2
#75297	2
D₃×#387	2
#74980	2
#74978	2
#74974	2
#74961	2
#74960	2
#74944	2
#74295	2
#74260	2
#73772	2
#73770	2
C₄×#894	2
#73660	2
#73642	2
#73626	2
#34459	3