Subgroups — #11660633

Order 768.

1772 conjugacy classes of subgroups.

The subgroup lattice has 1396 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#5528	C₂	1	1	yes	maximal, characteristic
2	C₃×#2924	C₂	1	1	yes	maximal, characteristic, complemented
3	#82210	C₂	1	1	yes	maximal, characteristic, complemented
4	#79382	C₂	1	2	yes	maximal, complemented
5	#79379	C₂	1	2	yes	maximal, complemented
6	#79368	C₂	1	2	yes	maximal, complemented
7	#79367	C₂	1	2	yes	maximal, complemented
8	#79336	C₂	1	1	yes	maximal, characteristic, complemented
9	#79333	C₂	1	1	yes	maximal, characteristic, complemented
10	D₃×#432	C₂	1	1	yes	maximal, characteristic, complemented
11	#79314	C₂	1	1	yes	maximal, characteristic, complemented
12	#79287	C₂	1	1	yes	maximal, characteristic, complemented
13	#79284	C₂	1	1	yes	maximal, characteristic, complemented
14	#79282	C₂	1	1	yes	maximal, characteristic, complemented
15	#79264	C₂	1	1	yes	maximal, characteristic, complemented
16	#79085	C₂	1	2	yes	maximal, complemented
17	#79082	C₂	1	2	yes	maximal, complemented
18	#78633	C₂	1	1	yes	maximal, characteristic, complemented
19	#78632	C₂	1	1	yes	maximal, characteristic, complemented
20	#78603	C₂	1	1	yes	maximal, characteristic, complemented
21	#78602	C₂	1	1	yes	maximal, characteristic, complemented
22	#78558	C₂	1	2	yes	maximal, complemented
23	#78557	C₂	1	2	yes	maximal, complemented
24	#60291	—	3	1	no	maximal, Sylow
25	C₂×C₃×#117	C₂²	1	1	yes	characteristic
26	C₂×C₄×#67	C₂²	1	1	yes	characteristic
27	C₂×C₄×#67	C₂²	1	1	yes	characteristic
28	#5528	C₄	1	1	yes	characteristic
29	#5528	C₄	1	1	yes	characteristic
30	#5528	C₄	1	1	yes	characteristic
31	#5528	C₄	1	1	yes	characteristic
32	#5528	C₄	1	1	yes	characteristic
33	#5528	C₄	1	1	yes	characteristic
34	#5528	C₄	1	1	yes	characteristic
35	#5528	C₄	1	1	yes	characteristic
36	#5528	C₂²	1	1	yes	characteristic
37	#5528	C₂²	1	1	yes	characteristic
38	#5528	C₂²	1	1	yes	characteristic
39	#5528	C₂²	1	1	yes	characteristic
40	#5528	C₂²	1	1	yes	characteristic
41	#5528	C₂²	1	1	yes	characteristic
42	#5528	C₂²	1	1	yes	characteristic
43	#5528	C₂²	1	1	yes	characteristic
44	C₂×#898	C₄	1	1	yes	characteristic
45	C₂×#896	C₄	1	1	yes	characteristic
46	C₂×#894	C₄	1	1	yes	characteristic
47	C₂×#889	C₄	1	1	yes	characteristic
48	C₂×#885	C₄	1	1	yes	characteristic
49	C₂×#884	C₄	1	1	yes	characteristic
50	C₂×#883	C₄	1	1	yes	characteristic
51	C₂×#879	C₄	1	1	yes	characteristic
52	C₂×C₄×D₁₂	C₂²	1	1	yes	characteristic
53	C₂×#872	C₂²	1	1	yes	characteristic
54	C₂×C₄²×D₃	C₂²	1	1	yes	characteristic
55	C₂×C₄×Dic₆	C₂²	1	1	yes	characteristic
56	C₃×#433	C₂²	1	2	yes	complemented
57	C₃×#433	C₂²	1	2	yes	complemented
58	C₃×#432	C₂²	1	1	yes	characteristic
59	C₃×#432	C₂²	1	1	yes	characteristic
60	C₃×#431	C₂²	1	1	yes	characteristic
61	C₃×#431	C₂²	1	1	yes	characteristic
62	C₃×#424	C₂²	1	2	yes	complemented
63	C₃×#407	C₂²	1	1	yes	characteristic
64	C₂×C₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
65	C₃×#405	C₂²	1	2	yes	complemented
66	#5207	C₂²	1	1	yes	characteristic
67	C₂×#830	C₂²	1	1	yes	characteristic
68	#5128	C₂²	1	2	yes	complemented
69	#5127	C₂²	1	2	yes	complemented
70	#5127	C₂²	1	2	yes	complemented
71	#5127	C₂²	1	2	yes	complemented
72	#5111	C₂²	1	2	yes	complemented
73	#5111	C₂²	1	2	yes	complemented
74	#5111	C₂²	1	2	yes	complemented
75	C₈×#67	C₂²	1	2	yes	complemented
76	#5000	C₂²	1	2	yes	complemented
77	#5000	C₂²	1	2	yes	complemented
78	#4999	C₂²	1	2	yes	complemented
79	#4997	C₂²	1	2	yes	complemented
80	#4926	C₂²	1	1	yes	characteristic
81	#4926	C₂²	1	1	yes	characteristic
82	#4925	C₂²	1	1	yes	characteristic
83	#4925	C₂²	1	1	yes	characteristic
84	#4840	C₂²	1	2	yes	complemented
85	#4840	C₂²	1	2	yes	complemented
86	#4839	C₂²	1	2	yes	complemented
87	#4839	C₂²	1	2	yes	complemented
88	#4838	C₂²	1	2	yes	complemented
89	#4837	C₂²	1	2	yes	complemented
90	#4836	C₂²	1	2	yes	complemented
91	#4836	C₂²	1	2	yes	complemented
92	#4835	C₂²	1	2	yes	complemented
93	#4835	C₂²	1	2	yes	complemented
94	#4834	C₂²	1	2	yes	complemented
95	D₃×C₄⋊C₈	C₂²	1	2	yes	complemented
96	#4831	C₂²	1	2	yes	complemented
97	#4831	C₂²	1	2	yes	complemented
98	#4828	C₂²	1	2	yes	complemented
99	#4828	C₂²	1	2	yes	complemented
100	#4730	C₂²	1	2	yes	complemented
101	#4730	C₂²	1	2	yes	complemented
102	#4730	C₂²	1	2	yes	complemented
103	#4729	C₂²	1	2	yes	complemented
104	#4728	C₂²	1	2	yes	complemented
105	#4728	C₂²	1	2	yes	complemented
106	#4728	C₂²	1	2	yes	complemented
107	#4726	C₂²	1	1	yes	characteristic
108	#4726	C₂²	1	1	yes	characteristic
109	#4726	C₂²	1	1	yes	characteristic
110	#4726	C₂²	1	1	yes	characteristic
111	#67⋊C₈	C₂²	1	2	yes	complemented
112	D₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
113	D₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
114	D₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
115	D₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
116	#4719	C₂²	1	1	yes	characteristic
117	#4719	C₂²	1	1	yes	characteristic
118	#4719	C₂²	1	1	yes	characteristic
119	#4719	C₂²	1	1	yes	characteristic
120	#4719	C₂²	1	1	yes	characteristic
121	#4719	C₂²	1	1	yes	characteristic
122	#4718	C₂²	1	1	yes	characteristic
123	#4718	C₂²	1	1	yes	characteristic
124	#4709	C₂²	1	2	yes	complemented
125	#4708	C₂²	1	2	yes	complemented
126	#4706	C₂²	1	2	yes	complemented
127	#4706	C₂²	1	2	yes	complemented
128	#4705	C₂²	1	2	yes	complemented
129	D₃×#97	C₂²	1	2	yes	complemented
130	#4701	C₂²	1	2	yes	complemented
131	#4701	C₂²	1	2	yes	complemented
132	#4690	C₂²	1	2	yes	complemented
133	#4689	C₂²	1	2	yes	complemented
134	#4688	C₂²	1	2	yes	complemented
135	C₄×ΓL(1,𝔽₂₅)	C₂²	1	2	yes	complemented
136	C₈×D₁₂	C₂²	1	2	yes	complemented
137	#4685	C₂²	1	2	yes	complemented
138	#4679	C₂²	1	2	yes	complemented
139	#4679	C₂²	1	2	yes	complemented
140	C₂×#529	—	3	1	no	—
141	#2995	—	3	2	no	—
142	#2995	—	3	2	no	—
143	#2992	—	3	2	no	—
144	#2992	—	3	2	no	—
145	#2983	—	3	1	no	—
146	#2983	—	3	1	no	—
147	#2974	—	3	1	no	—
148	#2974	—	3	1	no	—
149	#2974	—	3	1	no	—
150	#2974	—	3	1	no	—
151	#2973	—	3	1	no	—
152	#2973	—	3	1	no	—
153	#2968	—	3	2	no	—
154	#2968	—	3	2	no	—
155	#2967	—	3	2	no	—
156	#2967	—	3	2	no	—
157	#2924	—	3	1	no	—
158	#2924	—	3	1	no	—
159	#2924	—	3	1	no	—
160	#2924	D₃	1	1	yes	characteristic, complemented
161	#2920	—	3	1	no	—
162	C₂×#432	—	3	1	no	—
163	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
164	C₂²×#67	C₂×C₄	1	1	yes	characteristic
165	C₂²×#67	C₂×C₄	1	1	yes	characteristic
166	C₂²×D₁₂	C₂×C₄	1	1	yes	characteristic
167	C₂²×C₄×D₃	C₂×C₄	1	1	yes	characteristic
168	C₂²×C₄×D₃	C₂×C₄	1	1	yes	characteristic
169	C₂²×C₄×D₃	C₂³	1	1	yes	characteristic
170	C₂²×C₄×D₃	C₂³	1	1	yes	characteristic
171	C₂²×Dic₆	C₂×C₄	1	1	yes	characteristic
172	C₂×C₃×M₁₆	C₂³	1	2	yes	—
173	C₂²×C₃×C₈	C₂³	1	2	yes	—
174	C₃×#117	C₂×C₄	1	1	yes	characteristic
175	C₃×#117	C₂×C₄	1	1	yes	characteristic
176	C₃×#117	C₂×C₄	1	1	yes	characteristic
177	C₃×#117	C₂×C₄	1	1	yes	characteristic
178	C₃×#117	C₂³	1	1	yes	characteristic
179	C₃×#117	C₂³	1	1	yes	characteristic
180	C₃×#117	C₂³	1	1	yes	characteristic
181	C₃×#117	C₂³	1	1	yes	characteristic
182	C₂×C₃×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
183	C₂×C₃×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
184	C₂×C₃×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
185	C₂×C₃×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
186	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
187	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
188	C₂×#217	C₂×C₄	1	1	yes	characteristic
189	C₂×#217	C₂×C₄	1	1	yes	characteristic
190	C₄×#67	C₂×C₄	1	1	yes	characteristic
191	C₄×#67	C₂×C₄	1	1	yes	characteristic
192	C₄×#67	C₂×C₄	1	1	yes	characteristic
193	C₄×#67	C₂×C₄	1	1	yes	characteristic
194	C₄×#67	C₂×C₄	1	1	yes	characteristic
195	C₄×#67	C₂×C₄	1	1	yes	characteristic
196	C₄×#67	C₂×C₄	1	1	yes	characteristic
197	C₄×#67	C₂×C₄	1	1	yes	characteristic
198	C₄×#67	C₂³	1	1	yes	characteristic
199	C₄×#67	C₂³	1	1	yes	characteristic
200	C₄×#67	C₂³	1	1	yes	characteristic
201	C₄×#67	C₂³	1	1	yes	characteristic
202	C₄×#67	C₂³	1	1	yes	characteristic
203	C₄×#67	C₂³	1	1	yes	characteristic
204	C₄×#67	C₂³	1	1	yes	characteristic
205	C₄×#67	C₂³	1	1	yes	characteristic
206	C₂×(C₂×D₃)⋊C₄	C₂×C₄	1	1	yes	characteristic
207	C₂×(C₂×D₃)⋊C₄	C₂×C₄	1	1	yes	characteristic
208	C₂×(C₂×D₃)⋊C₄	C₂×C₄	1	1	yes	characteristic
209	C₂×(C₂×D₃)⋊C₄	C₂×C₄	1	1	yes	characteristic
210	C₂×(C₂×D₃)⋊C₄	C₂×C₄	1	1	yes	characteristic
211	C₂×(C₂×D₃)⋊C₄	C₂×C₄	1	1	yes	characteristic
212	C₂×C₄⋊Dic₃	C₂×C₄	1	1	yes	characteristic
213	C₂×C₄⋊Dic₃	C₂×C₄	1	1	yes	characteristic
214	C₂×Dic₃⋊C₄	C₂×C₄	1	1	yes	characteristic
215	C₂×Dic₃⋊C₄	C₂×C₄	1	1	yes	characteristic
216	C₂×Dic₃⋊C₄	C₂×C₄	1	1	yes	characteristic
217	C₂×Dic₃⋊C₄	C₂×C₄	1	1	yes	characteristic
218	C₂×Dic₃⋊C₄	C₂×C₄	1	1	yes	characteristic
219	C₂×Dic₃⋊C₄	C₂×C₄	1	1	yes	characteristic
220	C₂×C₄×Dic₃	C₂×C₄	1	1	yes	characteristic
221	C₂×C₄×Dic₃	C₂×C₄	1	1	yes	characteristic
222	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
223	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
224	C₂×#208	C₂³	1	2	yes	—
225	C₂²×C₃⋊C₈	C₂³	1	2	yes	—
226	C₂×ΓL(1,𝔽₂₅)	C₂³	1	2	yes	—
227	C₂×ΓL(1,𝔽₂₅)	C₂³	1	2	yes	—
228	C₂×ΓL(1,𝔽₂₅)	C₂³	1	2	yes	—
229	C₂×ΓL(1,𝔽₂₅)	C₂³	1	2	yes	—
230	C₂×D₃×C₈	C₂³	1	2	yes	—
231	C₂×D₃×C₈	C₂³	1	2	yes	—
232	C₂×D₃×C₈	C₂³	1	2	yes	—
233	C₂×D₃×C₈	C₂³	1	2	yes	—
234	#898	C₂×C₄	1	1	yes	characteristic
235	#898	C₂×C₄	1	1	yes	characteristic
236	#898	C₂×C₄	1	1	yes	characteristic
237	#898	C₂×C₄	1	1	yes	characteristic
238	#898	C₂×C₄	1	1	yes	characteristic
239	#898	C₂×C₄	1	1	yes	characteristic
240	#898	C₂×C₄	1	1	yes	characteristic
241	#898	C₂×C₄	1	1	yes	characteristic
242	#896	C₂×C₄	1	1	yes	characteristic
243	#896	C₂×C₄	1	1	yes	characteristic
244	#896	C₂×C₄	1	1	yes	characteristic
245	#896	C₂×C₄	1	1	yes	characteristic
246	#896	C₂×C₄	1	1	yes	characteristic
247	#896	C₂×C₄	1	1	yes	characteristic
248	#896	C₂×C₄	1	1	yes	characteristic
249	#896	C₂×C₄	1	1	yes	characteristic
250	#894	C₂×C₄	1	1	yes	characteristic
251	#894	C₂×C₄	1	1	yes	characteristic
252	#894	C₂×C₄	1	1	yes	characteristic
253	#894	C₂×C₄	1	1	yes	characteristic
254	#894	C₂×C₄	1	1	yes	characteristic
255	#894	C₂×C₄	1	1	yes	characteristic
256	#894	C₂×C₄	1	1	yes	characteristic
257	#894	C₂×C₄	1	1	yes	characteristic
258	#889	C₂×C₄	1	1	yes	characteristic
259	#889	C₂×C₄	1	1	yes	characteristic
260	#889	C₂×C₄	1	1	yes	characteristic
261	#889	C₂×C₄	1	1	yes	characteristic
262	#889	C₂×C₄	1	1	yes	characteristic
263	#889	C₂×C₄	1	1	yes	characteristic
264	#889	C₂×C₄	1	1	yes	characteristic
265	#889	C₂×C₄	1	1	yes	characteristic
266	#885	C₂×C₄	1	1	yes	characteristic
267	#885	C₂×C₄	1	1	yes	characteristic
268	#885	C₂×C₄	1	1	yes	characteristic
269	#885	C₂×C₄	1	1	yes	characteristic
270	#885	C₂×C₄	1	1	yes	characteristic
271	#885	C₂×C₄	1	1	yes	characteristic
272	#885	C₂×C₄	1	1	yes	characteristic
273	#885	C₂×C₄	1	1	yes	characteristic
274	#884	C₂×C₄	1	1	yes	characteristic
275	#884	C₂×C₄	1	1	yes	characteristic
276	#884	C₂×C₄	1	1	yes	characteristic
277	#884	C₂×C₄	1	1	yes	characteristic
278	#884	C₂×C₄	1	1	yes	characteristic
279	#884	C₂×C₄	1	1	yes	characteristic
280	#884	C₂×C₄	1	1	yes	characteristic
281	#884	C₂×C₄	1	1	yes	characteristic
282	#883	C₂×C₄	1	1	yes	characteristic
283	#883	C₂×C₄	1	1	yes	characteristic
284	#883	C₂×C₄	1	1	yes	characteristic
285	#883	C₂×C₄	1	1	yes	characteristic
286	#883	C₂×C₄	1	1	yes	characteristic
287	#883	C₂×C₄	1	1	yes	characteristic
288	#883	C₂×C₄	1	1	yes	characteristic
289	#883	C₂×C₄	1	1	yes	characteristic
290	#879	C₂×C₄	1	1	yes	characteristic
291	#879	C₂×C₄	1	1	yes	characteristic
292	#879	C₂×C₄	1	1	yes	characteristic
293	#879	C₂×C₄	1	1	yes	characteristic
294	#879	C₂×C₄	1	1	yes	characteristic
295	#879	C₂×C₄	1	1	yes	characteristic
296	#879	C₂×C₄	1	1	yes	characteristic
297	#879	C₂×C₄	1	1	yes	characteristic
298	C₄×D₁₂	C₂×C₄	1	1	yes	characteristic
299	C₄×D₁₂	C₂×C₄	1	1	yes	characteristic
300	C₄×D₁₂	C₂×C₄	1	1	yes	characteristic
301	C₄×D₁₂	C₂×C₄	1	1	yes	characteristic
302	C₄×D₁₂	C₂³	1	1	yes	characteristic
303	C₄×D₁₂	C₂³	1	1	yes	characteristic
304	C₄×D₁₂	C₂³	1	1	yes	characteristic
305	C₄×D₁₂	C₂³	1	1	yes	characteristic
306	#872	C₂×C₄	1	1	yes	characteristic
307	#872	C₂×C₄	1	1	yes	characteristic
308	#872	C₂×C₄	1	1	yes	characteristic
309	#872	C₂×C₄	1	1	yes	characteristic
310	#872	C₂³	1	1	yes	characteristic
311	#872	C₂³	1	1	yes	characteristic
312	#872	C₂³	1	1	yes	characteristic
313	#872	C₂³	1	1	yes	characteristic
314	C₄²×D₃	C₂×C₄	1	1	yes	characteristic
315	C₄²×D₃	C₂×C₄	1	1	yes	characteristic
316	C₄²×D₃	C₂×C₄	1	1	yes	characteristic
317	C₄²×D₃	C₂×C₄	1	1	yes	characteristic
318	C₄²×D₃	C₂³	1	1	yes	characteristic
319	C₄²×D₃	C₂³	1	1	yes	characteristic
320	C₄²×D₃	C₂³	1	1	yes	characteristic
321	C₄²×D₃	C₂³	1	1	yes	characteristic
322	C₄×Dic₆	C₂×C₄	1	1	yes	characteristic
323	C₄×Dic₆	C₂×C₄	1	1	yes	characteristic
324	C₄×Dic₆	C₂×C₄	1	1	yes	characteristic
325	C₄×Dic₆	C₂×C₄	1	1	yes	characteristic
326	C₄×Dic₆	C₂³	1	1	yes	characteristic
327	C₄×Dic₆	C₂³	1	1	yes	characteristic
328	C₄×Dic₆	C₂³	1	1	yes	characteristic
329	C₄×Dic₆	C₂³	1	1	yes	characteristic
330	C₃×C₄⋊C₈	C₂³	1	2	yes	—
331	C₃×C₄⋊C₈	C₂³	1	2	yes	—
332	C₃×C₄⋊C₈	C₂³	1	2	yes	—
333	C₃×C₄⋊C₈	C₂³	1	2	yes	—
334	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
335	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
336	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
337	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
338	C₃×C₂²⋊C₈	C₂³	1	2	yes	—
339	C₃×C₂²⋊C₈	C₂³	1	2	yes	—
340	C₃×#97	C₂³	1	2	yes	—
341	C₃×#97	C₂³	1	2	yes	—
342	C₃×C₄×C₈	C₂³	1	2	yes	—
343	C₃×C₄×C₈	C₂³	1	2	yes	—
344	#830	C₂³	1	2	yes	—
345	#830	C₂³	1	2	yes	—
346	#830	C₂³	1	1	yes	characteristic
347	#830	C₂³	1	1	yes	characteristic
348	#830	C₂³	1	1	yes	characteristic
349	#830	C₂³	1	1	yes	characteristic
350	(C₂×D₃)⋊C₈	C₂³	1	2	yes	—
351	(C₂×D₃)⋊C₈	C₂³	1	2	yes	—
352	(C₂×D₃)⋊C₈	C₂³	1	2	yes	—
353	(C₂×D₃)⋊C₈	C₂³	1	2	yes	—
354	(C₂×D₃)⋊C₈	C₂³	1	2	yes	—
355	(C₂×D₃)⋊C₈	C₂³	1	2	yes	—
356	(C₂×D₃)⋊C₈	C₂³	1	2	yes	—
357	(C₂×D₃)⋊C₈	C₂³	1	2	yes	—
358	#815	C₂³	1	2	yes	—
359	#815	C₂³	1	2	yes	—
360	#815	C₂³	1	2	yes	—
361	#815	C₂³	1	2	yes	—
362	#815	C₂³	1	2	yes	—
363	#815	C₂³	1	2	yes	—
364	Dic₃⋊C₈	C₂³	1	2	yes	—
365	Dic₃⋊C₈	C₂³	1	2	yes	—
366	Dic₃⋊C₈	C₂³	1	2	yes	—
367	Dic₃⋊C₈	C₂³	1	2	yes	—
368	Dic₃⋊C₈	C₂³	1	2	yes	—
369	Dic₃⋊C₈	C₂³	1	2	yes	—
370	Dic₃⋊C₈	C₂³	1	2	yes	—
371	Dic₃⋊C₈	C₂³	1	2	yes	—
372	C₈×Dic₃	C₂³	1	2	yes	—
373	C₈×Dic₃	C₂³	1	2	yes	—
374	C₄⋊(C₃⋊C₈)	C₂³	1	2	yes	—
375	C₄⋊(C₃⋊C₈)	C₂³	1	2	yes	—
376	C₄⋊(C₃⋊C₈)	C₂³	1	2	yes	—
377	C₄⋊(C₃⋊C₈)	C₂³	1	2	yes	—
378	#803	C₂³	1	2	yes	—
379	#803	C₂³	1	2	yes	—
380	C₄×C₃⋊C₈	C₂³	1	2	yes	—
381	C₄×C₃⋊C₈	C₂³	1	2	yes	—
382	#529	—	3	1	no	—
383	#529	—	3	1	no	—
384	#529	—	3	1	no	—
385	#529	—	3	1	no	—
386	#529	—	3	1	no	—
387	#529	—	3	1	no	—
388	#529	—	3	1	no	—
389	#529	—	3	1	no	—
390	#529	—	3	1	no	—
391	#529	—	3	1	no	—
392	#529	—	3	1	no	—
393	#529	—	3	1	no	—
394	#529	—	3	1	no	—
395	#529	—	3	1	no	—
396	#529	—	3	1	no	—
397	#529	—	3	1	no	—
398	C₂×#126	—	3	1	no	—
399	C₂×#126	—	3	1	no	—
400	C₂×#125	—	3	1	no	—
401	C₂×#124	—	3	1	no	—
402	C₂×#123	—	3	1	no	—
403	C₂×#123	—	3	1	no	—
404	C₂×C₂²⋊Q₈	—	3	1	no	—
405	C₂×#121	—	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	C₂×D₃	1	1	yes	characteristic
412	C₂²×C₄²	—	3	1	no	—
413	#446	—	3	2	no	—
414	#446	—	3	2	no	—
415	#446	—	3	2	no	—
416	#446	—	3	2	no	—
417	#446	—	3	2	no	—
418	#446	—	3	2	no	—
419	#446	—	3	2	no	—
420	#446	—	3	2	no	—
421	#436	—	3	2	no	—
422	#436	—	3	2	no	—
423	#436	—	3	2	no	—
424	#436	—	3	2	no	—
425	#435	—	3	2	no	—
426	#435	—	3	2	no	—
427	#435	—	3	2	no	—
428	#435	—	3	2	no	—
429	#435	—	3	2	no	—
430	#435	—	3	2	no	—
431	#435	—	3	2	no	—
432	#435	—	3	2	no	—
433	#435	—	3	2	no	—
434	#435	—	3	2	no	—
435	#435	—	3	2	no	—
436	#435	—	3	2	no	—
437	#435	—	3	2	no	—
438	#435	—	3	2	no	—
439	#435	—	3	2	no	—
440	#435	—	3	2	no	—
441	C₈×D₄	—	3	2	no	—
442	C₈×D₄	—	3	2	no	—
443	C₈×D₄	—	3	2	no	—
444	C₈×D₄	—	3	2	no	—
445	#433	—	3	2	no	—
446	#433	—	3	2	no	—
447	#433	—	3	2	no	—
448	#433	—	3	2	no	—
449	#433	—	3	2	no	—
450	#433	—	3	2	no	—
451	#433	C₂×D₃	1	2	yes	complemented
452	#433	C₂×D₃	1	2	yes	complemented
453	#432	—	3	1	no	—
454	#432	—	3	1	no	—
455	#432	—	3	2	no	—
456	#432	—	3	2	no	—
457	#432	—	3	1	no	—
458	#432	—	3	1	no	—
459	#432	—	3	1	no	—
460	#432	—	3	1	no	—
461	#432	—	3	1	no	—
462	#432	—	3	1	no	—
463	#432	—	3	2	no	—
464	#432	C₂×D₃	1	1	yes	characteristic
465	#432	C₂×D₃	1	1	yes	characteristic
466	#431	—	3	1	no	—
467	#431	—	3	1	no	—
468	#431	—	3	1	no	—
469	#431	—	3	1	no	—
470	#431	—	3	2	no	—
471	#431	C₂×D₃	1	1	yes	characteristic
472	#431	C₂×D₃	1	1	yes	characteristic
473	#424	—	3	2	no	—
474	#424	—	3	2	no	—
475	#424	—	3	2	no	—
476	#424	C₂×D₃	1	2	yes	complemented
477	#423	—	3	2	no	—
478	C₂×C₄⋊C₈	—	3	2	no	—
479	#407	—	3	1	no	—
480	#407	—	3	1	no	—
481	#407	—	3	1	no	—
482	#407	—	3	1	no	—
483	#407	—	3	1	no	—
484	#407	C₂×D₃	1	1	yes	characteristic
485	C₂×C₂²⋊C₈	—	3	1	no	—
486	C₂×C₂²⋊C₈	—	3	1	no	—
487	C₂×C₂²⋊C₈	—	3	1	no	—
488	C₂×C₂²⋊C₈	—	3	1	no	—
489	C₂×C₂²⋊C₈	—	3	1	no	—
490	C₂×C₂²⋊C₈	C₂×D₃	1	1	yes	characteristic
491	#405	—	3	2	no	—
492	#405	—	3	2	no	—
493	#405	—	3	2	no	—
494	#405	C₂×D₃	1	2	yes	complemented
495	C₄×M₁₆	—	3	2	no	—
496	C₂×#97	—	3	2	no	—
497	C₂⁴×C₃	C₂²×C₄	1	1	yes	characteristic
498	C₂³×D₃	C₂²×C₄	1	1	yes	characteristic
499	C₂³×D₃	C₂²×C₄	1	1	yes	characteristic
500	C₂²×C₃×C₄	—	4	2	no	—
501	C₂²×C₃×C₄	C₂²×C₄	1	1	yes	characteristic
502	C₂²×C₃×C₄	C₂²×C₄	1	1	yes	characteristic
503	C₂²×C₃×C₄	C₂²×C₄	1	1	yes	characteristic
504	C₂²×C₃×C₄	C₂²×C₄	1	1	yes	characteristic
505	C₂²×C₃×C₄	C₂²×C₄	1	1	yes	characteristic
506	C₂²×C₃×C₄	C₂²×C₄	1	1	yes	characteristic
507	C₂²×C₃×C₄	C₂²×C₄	1	1	yes	characteristic
508	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
509	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
510	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
511	C₂×#67	—	4	2	no	—
512	C₂×#67	—	4	2	no	—
513	C₂×#67	C₂²×C₄	1	1	yes	characteristic
514	C₂×#67	C₂²×C₄	1	1	yes	characteristic
515	C₂×#67	C₂²×C₄	1	1	yes	characteristic
516	C₂×#67	C₂²×C₄	1	1	yes	characteristic
517	C₂×#67	C₂²×C₄	1	1	yes	characteristic
518	C₂×#67	C₂²×C₄	1	1	yes	characteristic
519	C₂×#67	C₂²×C₄	1	1	yes	characteristic
520	C₂×#67	C₂²×C₄	1	1	yes	characteristic
521	C₂²×Dic₃	C₂²×C₄	1	1	yes	characteristic
522	C₂²×Dic₃	C₂²×C₄	1	1	yes	characteristic
523	C₂²×Dic₃	C₂²×C₄	1	1	yes	characteristic
524	C₂²×Dic₃	C₂²×C₄	1	1	yes	characteristic
525	C₂²×Dic₃	C₂²×C₄	1	1	yes	characteristic
526	C₂²×Dic₃	C₂²×C₄	1	1	yes	characteristic
527	C₂×D₁₂	—	4	2	no	—
528	C₂×D₁₂	C₂²×C₄	1	1	yes	characteristic
529	C₂×D₁₂	C₂²×C₄	1	1	yes	characteristic
530	C₂×D₁₂	C₂²×C₄	1	1	yes	characteristic
531	C₂×D₁₂	C₂²×C₄	1	1	yes	characteristic
532	C₂×C₄×D₃	—	4	2	no	—
533	C₂×C₄×D₃	—	4	2	no	—
534	C₂×C₄×D₃	—	4	2	no	—
535	C₂×C₄×D₃	—	4	2	no	—
536	C₂×C₄×D₃	C₂²×C₄	1	1	yes	characteristic
537	C₂×C₄×D₃	C₂²×C₄	1	1	yes	characteristic
538	C₂×C₄×D₃	C₂²×C₄	1	1	yes	characteristic
539	C₂×C₄×D₃	C₂²×C₄	1	1	yes	characteristic
540	C₂×C₄×D₃	C₂²×C₄	1	1	yes	characteristic
541	C₂×C₄×D₃	C₂²×C₄	1	1	yes	characteristic
542	C₂×C₄×D₃	C₂²×C₄	1	1	yes	characteristic
543	C₂×C₄×D₃	C₂²×C₄	1	1	yes	characteristic
544	C₂×C₄×D₃	C₂²×C₄	1	1	yes	characteristic
545	C₂×C₄×D₃	C₂²×C₄	1	1	yes	characteristic
546	C₂×C₄×D₃	C₂²×C₄	1	1	yes	characteristic
547	C₂×C₄×D₃	C₂²×C₄	1	1	yes	characteristic
548	C₂×C₄×D₃	C₂⁴	1	1	yes	characteristic
549	C₂×C₄×D₃	C₂⁴	1	1	yes	characteristic
550	C₂×C₄×D₃	C₂⁴	1	1	yes	characteristic
551	C₂×C₄×D₃	C₂⁴	1	1	yes	characteristic
552	C₂×Dic₆	—	4	2	no	—
553	C₂×Dic₆	C₂²×C₄	1	1	yes	characteristic
554	C₂×Dic₆	C₂²×C₄	1	1	yes	characteristic
555	C₂×Dic₆	C₂²×C₄	1	1	yes	characteristic
556	C₂×Dic₆	C₂²×C₄	1	1	yes	characteristic
557	C₃×M₁₆	—	4	2	no	—
558	C₂×C₃×C₈	—	4	2	no	—
559	C₂×C₃×C₈	C₂⁴	1	2	yes	—
560	C₂×C₃×C₈	C₂⁴	1	2	yes	—
561	C₂×C₃×C₈	C₂⁴	1	2	yes	—
562	C₂×C₃×C₈	C₂⁴	1	2	yes	—
563	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
564	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
565	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
566	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
567	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
568	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
569	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
570	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
571	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
572	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
573	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
574	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
575	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
576	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
577	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
578	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
579	C₃×C₄²	C₂²×C₄	1	1	yes	characteristic
580	C₃×C₄²	C₂²×C₄	1	1	yes	characteristic
581	C₃×C₄²	C₂²×C₄	1	1	yes	characteristic
582	C₃×C₄²	C₂²×C₄	1	1	yes	characteristic
583	C₃×C₄²	C₂⁴	1	1	yes	characteristic
584	C₃×C₄²	C₂⁴	1	1	yes	characteristic
585	C₃×C₄²	C₂⁴	1	1	yes	characteristic
586	C₃×C₄²	C₂⁴	1	1	yes	characteristic
587	#217	C₂²×C₄	1	1	yes	characteristic
588	#217	C₂²×C₄	1	1	yes	characteristic
589	#217	C₂²×C₄	1	1	yes	characteristic
590	#217	C₂²×C₄	1	1	yes	characteristic
591	#217	C₂²×C₄	1	1	yes	characteristic
592	#217	C₂²×C₄	1	1	yes	characteristic
593	#217	C₂²×C₄	1	1	yes	characteristic
594	#217	C₂²×C₄	1	1	yes	characteristic
595	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
596	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
597	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
598	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
599	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
600	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
601	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
602	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
603	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
604	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
605	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
606	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
607	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
608	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
609	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
610	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
611	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
612	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
613	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
614	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
615	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
616	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
617	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
618	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
619	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
620	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
621	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
622	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
623	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
624	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
625	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
626	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
627	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
628	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
629	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
630	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
631	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
632	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
633	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
634	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
635	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
636	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
637	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
638	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
639	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
640	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
641	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
642	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
643	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
644	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
645	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
646	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
647	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
648	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
649	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
650	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
651	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
652	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
653	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
654	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
655	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
656	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
657	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
658	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
659	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
660	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
661	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
662	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
663	C₄×Dic₃	C₂⁴	1	1	yes	characteristic
664	C₄×Dic₃	C₂⁴	1	1	yes	characteristic
665	C₄×Dic₃	C₂⁴	1	1	yes	characteristic
666	C₄×Dic₃	C₂⁴	1	1	yes	characteristic
667	#208	—	4	2	no	—
668	C₂×C₃⋊C₈	—	4	2	no	—
669	C₂×C₃⋊C₈	C₂⁴	1	2	yes	—
670	C₂×C₃⋊C₈	C₂⁴	1	2	yes	—
671	C₂×C₃⋊C₈	C₂⁴	1	2	yes	—
672	C₂×C₃⋊C₈	C₂⁴	1	2	yes	—
673	ΓL(1,𝔽₂₅)	—	4	2	no	—
674	ΓL(1,𝔽₂₅)	—	4	2	no	—
675	ΓL(1,𝔽₂₅)	—	4	2	no	—
676	ΓL(1,𝔽₂₅)	—	4	2	no	—
677	D₃×C₈	—	4	2	no	—
678	D₃×C₈	—	4	2	no	—
679	D₃×C₈	—	4	2	no	—
680	D₃×C₈	—	4	2	no	—
681	C₂²×Q₈	—	3	1	no	—
682	C₂²×D₄	—	3	1	no	—
683	C₂²×D₄	—	3	1	no	—
684	C₂²×D₄	—	3	1	no	—
685	C₂³×C₄	—	3	1	no	—
686	C₂³×C₄	—	3	1	no	—
687	C₂³×C₄	—	3	1	no	—
688	C₂³×C₄	—	3	1	no	—
689	C₂³×C₄	C₂²×D₃	1	1	yes	characteristic
690	C₂×M₁₆	—	3	2	no	—
691	C₂×M₁₆	—	3	2	no	—
692	C₂×M₁₆	—	3	2	no	—
693	C₂×M₁₆	—	3	2	no	—
694	C₂×M₁₆	—	3	2	no	—
695	C₂×M₁₆	C₂²×D₃	1	2	yes	—
696	C₂²×C₈	—	3	2	no	—
697	C₂²×C₈	—	3	2	no	—
698	C₂²×C₈	—	3	2	no	—
699	C₂²×C₈	—	3	2	no	—
700	C₂²×C₈	—	3	2	no	—
701	C₂²×C₈	C₂²×D₃	1	2	yes	—
702	#126	—	3	1	no	—
703	#126	—	3	1	no	—
704	#126	—	3	1	no	—
705	#126	—	3	1	no	—
706	#126	—	3	1	no	—
707	#126	—	3	1	no	—
708	#126	—	3	1	no	—
709	#126	—	3	1	no	—
710	#126	—	3	1	no	—
711	#126	—	3	1	no	—
712	#126	—	3	1	no	—
713	#126	—	3	1	no	—
714	#126	—	3	1	no	—
715	#126	—	3	1	no	—
716	#126	—	3	1	no	—
717	#126	—	3	1	no	—
718	#125	—	3	1	no	—
719	#125	—	3	1	no	—
720	#125	—	3	1	no	—
721	#125	—	3	1	no	—
722	#125	—	3	1	no	—
723	#125	—	3	1	no	—
724	#125	—	3	1	no	—
725	#125	—	3	1	no	—
726	#124	—	3	1	no	—
727	#124	—	3	1	no	—
728	#124	—	3	1	no	—
729	#124	—	3	1	no	—
730	#124	—	3	1	no	—
731	#124	—	3	1	no	—
732	#124	—	3	1	no	—
733	#124	—	3	1	no	—
734	#123	—	3	1	no	—
735	#123	—	3	1	no	—
736	#123	—	3	1	no	—
737	#123	—	3	1	no	—
738	#123	—	3	1	no	—
739	#123	—	3	1	no	—
740	#123	—	3	1	no	—
741	#123	—	3	1	no	—
742	#123	—	3	1	no	—
743	#123	—	3	1	no	—
744	#123	—	3	1	no	—
745	#123	—	3	1	no	—
746	#123	—	3	1	no	—
747	#123	—	3	1	no	—
748	#123	—	3	1	no	—
749	#123	—	3	1	no	—
750	C₂²⋊Q₈	—	3	1	no	—
751	C₂²⋊Q₈	—	3	1	no	—
752	C₂²⋊Q₈	—	3	1	no	—
753	C₂²⋊Q₈	—	3	1	no	—
754	C₂²⋊Q₈	—	3	1	no	—
755	C₂²⋊Q₈	—	3	1	no	—
756	C₂²⋊Q₈	—	3	1	no	—
757	C₂²⋊Q₈	—	3	1	no	—
758	#121	—	3	1	no	—
759	#121	—	3	1	no	—
760	#121	—	3	1	no	—
761	#121	—	3	1	no	—
762	#121	—	3	1	no	—
763	#121	—	3	1	no	—
764	#121	—	3	1	no	—
765	#121	—	3	1	no	—
766	C₄×Q₈	—	3	1	no	—
767	C₄×Q₈	—	3	1	no	—
768	C₄×Q₈	—	3	1	no	—
769	C₄×Q₈	—	3	1	no	—
770	C₄×Q₈	—	3	1	no	—
771	C₄×Q₈	—	3	1	no	—
772	C₄×Q₈	—	3	1	no	—
773	C₄×Q₈	—	3	1	no	—
774	C₄×D₄	—	3	1	no	—
775	C₄×D₄	—	3	1	no	—
776	C₄×D₄	—	3	1	no	—
777	C₄×D₄	—	3	1	no	—
778	C₄×D₄	—	3	1	no	—
779	C₄×D₄	—	3	1	no	—
780	C₄×D₄	—	3	1	no	—
781	C₄×D₄	—	3	1	no	—
782	C₄×D₄	—	3	1	no	—
783	C₄×D₄	—	3	1	no	—
784	C₄×D₄	—	3	1	no	—
785	C₄×D₄	—	3	1	no	—
786	C₄×D₄	—	3	1	no	—
787	C₄×D₄	—	3	1	no	—
788	C₄×D₄	—	3	1	no	—
789	C₄×D₄	—	3	1	no	—
790	C₄×D₄	—	3	1	no	—
791	C₄×D₄	—	3	1	no	—
792	C₄×D₄	—	3	1	no	—
793	C₄×D₄	—	3	1	no	—
794	C₄×D₄	—	3	1	no	—
795	C₄×D₄	—	3	1	no	—
796	C₄×D₄	—	3	1	no	—
797	C₄×D₄	—	3	1	no	—
798	#117	—	3	1	no	—
799	#117	—	3	1	no	—
800	#117	—	3	1	no	—
801	#117	—	3	1	no	—
802	#117	—	3	1	no	—
803	#117	—	3	1	no	—
804	#117	—	3	1	no	—
805	#117	—	3	1	no	—
806	#117	C₄×D₃	1	1	yes	characteristic
807	#117	C₄×D₃	1	1	yes	characteristic
808	#117	C₄×D₃	1	1	yes	characteristic
809	#117	C₄×D₃	1	1	yes	characteristic
810	#117	C₂²×D₃	1	1	yes	characteristic
811	#117	C₂²×D₃	1	1	yes	characteristic
812	#117	C₂²×D₃	1	1	yes	characteristic
813	#117	C₂²×D₃	1	1	yes	characteristic
814	C₂×C₄⋊C₄	—	3	1	no	—
815	C₂×C₄⋊C₄	—	3	1	no	—
816	C₂×C₄⋊C₄	—	3	1	no	—
817	C₂×C₄⋊C₄	—	3	1	no	—
818	C₂×C₄⋊C₄	—	3	1	no	—
819	C₂×C₄⋊C₄	—	3	1	no	—
820	C₂×C₄⋊C₄	—	3	1	no	—
821	C₂×C₄⋊C₄	—	3	1	no	—
822	C₂×C₄⋊C₄	C₄×D₃	1	1	yes	characteristic
823	C₂×C₄⋊C₄	C₄×D₃	1	1	yes	characteristic
824	C₂×C₂²⋊C₄	—	3	1	no	—
825	C₂×C₂²⋊C₄	—	3	1	no	—
826	C₂×C₂²⋊C₄	—	3	1	no	—
827	C₂×C₂²⋊C₄	—	3	1	no	—
828	C₂×C₂²⋊C₄	—	3	1	no	—
829	C₂×C₂²⋊C₄	—	3	1	no	—
830	C₂×C₂²⋊C₄	—	3	1	no	—
831	C₂×C₂²⋊C₄	—	3	1	no	—
832	C₂×C₂²⋊C₄	C₄×D₃	1	1	yes	characteristic
833	C₂×C₂²⋊C₄	C₄×D₃	1	1	yes	characteristic
834	C₂×C₄²	—	3	1	no	—
835	C₂×C₄²	—	3	1	no	—
836	C₂×C₄²	—	3	1	no	—
837	C₂×C₄²	—	3	1	no	—
838	C₂×C₄²	—	3	1	no	—
839	C₂×C₄²	—	3	1	no	—
840	C₂×C₄²	—	3	1	no	—
841	C₂×C₄²	—	3	1	no	—
842	C₂×C₄²	—	3	1	no	—
843	C₂×C₄²	—	3	1	no	—
844	C₂×C₄²	—	3	1	no	—
845	C₂×C₄²	—	3	1	no	—
846	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
847	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
848	C₄⋊C₈	—	3	2	no	—
849	C₄⋊C₈	—	3	2	no	—
850	C₄⋊C₈	—	3	2	no	—
851	C₄⋊C₈	—	3	2	no	—
852	C₄⋊C₈	—	3	2	no	—
853	C₄⋊C₈	—	3	2	no	—
854	C₄⋊C₈	—	3	2	no	—
855	C₄⋊C₈	—	3	2	no	—
856	C₄⋊C₈	—	3	2	no	—
857	C₄⋊C₈	—	3	2	no	—
858	C₄⋊C₈	—	3	2	no	—
859	C₄⋊C₈	—	3	2	no	—
860	C₄⋊C₈	C₂²×D₃	1	2	yes	—
861	C₄⋊C₈	C₂²×D₃	1	2	yes	—
862	C₄⋊C₈	C₂²×D₃	1	2	yes	—
863	C₄⋊C₈	C₂²×D₃	1	2	yes	—
864	C₂²⋊C₈	—	3	1	no	—
865	C₂²⋊C₈	—	3	1	no	—
866	C₂²⋊C₈	—	3	1	no	—
867	C₂²⋊C₈	—	3	1	no	—
868	C₂²⋊C₈	—	3	2	no	—
869	C₂²⋊C₈	—	3	2	no	—
870	C₂²⋊C₈	—	3	2	no	—
871	C₂²⋊C₈	—	3	2	no	—
872	C₂²⋊C₈	—	3	2	no	—
873	C₂²⋊C₈	—	3	2	no	—
874	C₂²⋊C₈	—	3	2	no	—
875	C₂²⋊C₈	—	3	2	no	—
876	C₂²⋊C₈	—	3	2	no	—
877	C₂²⋊C₈	—	3	2	no	—
878	C₂²⋊C₈	C₂²×D₃	1	1	yes	characteristic
879	C₂²⋊C₈	C₂²×D₃	1	1	yes	characteristic
880	C₂²⋊C₈	C₂²×D₃	1	1	yes	characteristic
881	C₂²⋊C₈	C₂²×D₃	1	1	yes	characteristic
882	C₂²⋊C₈	C₂²×D₃	1	2	yes	—
883	C₂²⋊C₈	C₂²×D₃	1	2	yes	—
884	#97	—	3	2	no	—
885	#97	—	3	2	no	—
886	#97	—	3	2	no	—
887	#97	—	3	2	no	—
888	#97	—	3	2	no	—
889	#97	—	3	2	no	—
890	#97	—	3	2	no	—
891	#97	—	3	2	no	—
892	#97	C₂²×D₃	1	2	yes	—
893	#97	C₂²×D₃	1	2	yes	—
894	C₄×C₈	—	3	2	no	—
895	C₄×C₈	—	3	2	no	—
896	C₄×C₈	—	3	2	no	—
897	C₄×C₈	—	3	2	no	—
898	C₄×C₈	C₂²×D₃	1	2	yes	—
899	C₄×C₈	C₂²×D₃	1	2	yes	—
900	C₂³×C₃	—	2	2	no	—
901	C₂³×C₃	—	4	1	no	—
902	C₂³×C₃	—	4	1	no	—
903	C₂³×C₃	C₂³×C₄	1	1	yes	characteristic
904	C₂³×C₃	C₂³×C₄	1	1	yes	characteristic
905	C₂³×C₃	C₂³×C₄	1	1	yes	characteristic
906	C₂²×D₃	—	2	2	no	—
907	C₂²×D₃	—	2	2	no	—
908	C₂²×D₃	—	2	2	no	—
909	C₂²×D₃	—	4	1	no	—
910	C₂²×D₃	—	4	1	no	—
911	C₂²×D₃	—	4	1	no	—
912	C₂²×D₃	C₂³×C₄	1	1	yes	characteristic
913	C₂²×D₃	C₂³×C₄	1	1	yes	characteristic
914	C₂²×D₃	C₂³×C₄	1	1	yes	characteristic
915	C₂²×D₃	C₂³×C₄	1	1	yes	characteristic
916	C₂×C₃×C₄	—	2	2	no	—
917	C₂×C₃×C₄	—	2	2	no	—
918	C₂×C₃×C₄	—	2	2	no	—
919	C₂×C₃×C₄	—	2	2	no	—
920	C₂×C₃×C₄	—	2	2	no	—
921	C₂×C₃×C₄	—	4	1	no	—
922	C₂×C₃×C₄	—	4	1	no	—
923	C₂×C₃×C₄	—	4	1	no	—
924	C₂×C₃×C₄	—	4	1	no	—
925	C₂×C₃×C₄	—	4	1	no	—
926	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
927	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
928	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
929	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
930	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
931	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
932	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
933	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
934	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
935	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
936	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
937	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
938	#67	—	2	2	no	—
939	#67	—	2	2	no	—
940	#67	—	4	1	no	—
941	#67	—	4	1	no	—
942	#67	—	4	1	no	—
943	#67	—	4	1	no	—
944	#67	—	4	1	no	—
945	#67	—	4	1	no	—
946	C₂×Dic₃	—	2	2	no	—
947	C₂×Dic₃	—	2	2	no	—
948	C₂×Dic₃	—	4	1	no	—
949	C₂×Dic₃	—	4	1	no	—
950	C₂×Dic₃	—	4	1	no	—
951	C₂×Dic₃	—	4	1	no	—
952	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
953	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
954	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
955	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
956	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
957	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
958	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
959	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
960	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
961	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
962	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
963	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
964	D₁₂	—	2	2	no	—
965	D₁₂	—	2	2	no	—
966	D₁₂	—	4	1	no	—
967	D₁₂	—	4	1	no	—
968	C₄×D₃	—	2	2	no	—
969	C₄×D₃	—	2	2	no	—
970	C₄×D₃	—	2	2	no	—
971	C₄×D₃	—	2	2	no	—
972	C₄×D₃	—	2	2	no	—
973	C₄×D₃	—	2	2	no	—
974	C₄×D₃	—	4	1	no	—
975	C₄×D₃	—	4	1	no	—
976	C₄×D₃	—	4	1	no	—
977	C₄×D₃	—	4	1	no	—
978	C₄×D₃	—	4	1	no	—
979	C₄×D₃	—	4	1	no	—
980	C₄×D₃	—	4	1	no	—
981	C₄×D₃	—	4	1	no	—
982	C₄×D₃	—	4	1	no	—
983	C₄×D₃	—	4	1	no	—
984	Dic₆	—	4	1	no	—
985	Dic₆	—	4	1	no	—
986	Dic₆	—	4	1	no	—
987	Dic₆	—	4	1	no	—
988	C₃×C₈	—	2	2	no	—
989	C₃×C₈	—	2	2	no	—
990	C₃×C₈	—	2	2	no	—
991	C₃×C₈	—	2	2	no	—
992	C₃⋊C₈	—	2	2	no	—
993	C₃⋊C₈	—	2	2	no	—
994	C₃⋊C₈	—	2	2	no	—
995	C₃⋊C₈	—	2	2	no	—
996	C₂⁴	—	3	1	no	—
997	C₂⁴	—	3	1	no	—
998	C₂⁴	C₂×C₄×D₃	1	1	yes	characteristic
999	C₂×Q₈	—	3	1	no	—
1000	C₂×Q₈	—	3	1	no	—
1001	C₂×Q₈	—	3	1	no	—
1002	C₂×Q₈	—	3	1	no	—
1003	C₂×Q₈	—	12	2	no	—
1004	C₂×D₄	—	3	1	no	—
1005	C₂×D₄	—	3	1	no	—
1006	C₂×D₄	—	3	1	no	—
1007	C₂×D₄	—	3	1	no	—
1008	C₂×D₄	—	3	1	no	—
1009	C₂×D₄	—	3	1	no	—
1010	C₂×D₄	—	3	1	no	—
1011	C₂×D₄	—	3	1	no	—
1012	C₂×D₄	—	3	1	no	—
1013	C₂×D₄	—	3	1	no	—
1014	C₂×D₄	—	3	1	no	—
1015	C₂×D₄	—	3	1	no	—
1016	C₂×D₄	—	12	2	no	—
1017	C₂×D₄	—	12	2	no	—
1018	C₂×D₄	—	12	2	no	—
1019	C₂²×C₄	—	3	1	no	—
1020	C₂²×C₄	—	3	1	no	—
1021	C₂²×C₄	—	3	1	no	—
1022	C₂²×C₄	—	3	1	no	—
1023	C₂²×C₄	—	3	1	no	—
1024	C₂²×C₄	—	3	1	no	—
1025	C₂²×C₄	—	3	1	no	—
1026	C₂²×C₄	—	3	1	no	—
1027	C₂²×C₄	—	3	1	no	—
1028	C₂²×C₄	—	3	1	no	—
1029	C₂²×C₄	—	3	1	no	—
1030	C₂²×C₄	—	3	1	no	—
1031	C₂²×C₄	—	3	1	no	—
1032	C₂²×C₄	—	3	1	no	—
1033	C₂²×C₄	—	3	1	no	—
1034	C₂²×C₄	—	3	1	no	—
1035	C₂²×C₄	—	3	1	no	—
1036	C₂²×C₄	—	3	1	no	—
1037	C₂²×C₄	—	3	1	no	—
1038	C₂²×C₄	—	3	1	no	—
1039	C₂²×C₄	—	3	1	no	—
1040	C₂²×C₄	—	3	1	no	—
1041	C₂²×C₄	—	4	2	no	—
1042	C₂²×C₄	—	12	2	no	—
1043	C₂²×C₄	—	12	2	no	—
1044	C₂²×C₄	—	12	2	no	—
1045	C₂²×C₄	—	12	2	no	—
1046	C₂²×C₄	C₂×C₄×D₃	1	1	yes	characteristic
1047	C₂²×C₄	C₂×C₄×D₃	1	1	yes	characteristic
1048	C₂²×C₄	C₂×C₄×D₃	1	1	yes	characteristic
1049	C₂²×C₄	C₂×C₄×D₃	1	1	yes	characteristic
1050	C₂²×C₄	C₂×C₄×D₃	1	1	yes	characteristic
1051	C₂²×C₄	C₂×C₄×D₃	1	1	yes	characteristic
1052	C₂²×C₄	C₂×C₄×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	M₁₆	—	4	2	no	—
1057	M₁₆	—	12	2	no	—
1058	M₁₆	—	12	2	no	—
1059	M₁₆	—	12	2	no	—
1060	M₁₆	—	12	2	no	—
1061	M₁₆	—	12	2	no	—
1062	C₂×C₈	—	3	2	no	—
1063	C₂×C₈	—	3	2	no	—
1064	C₂×C₈	—	3	2	no	—
1065	C₂×C₈	—	3	2	no	—
1066	C₂×C₈	—	4	2	no	—
1067	C₂×C₈	—	12	2	no	—
1068	C₂×C₈	—	12	2	no	—
1069	C₂×C₈	—	12	2	no	—
1070	C₂×C₈	—	12	2	no	—
1071	C₂×C₈	—	12	2	no	—
1072	C₂×C₈	C₂³×D₃	1	2	yes	—
1073	C₂×C₈	C₂³×D₃	1	2	yes	—
1074	C₂×C₈	C₂³×D₃	1	2	yes	—
1075	C₂×C₈	C₂³×D₃	1	2	yes	—
1076	C₄⋊C₄	—	3	1	no	—
1077	C₄⋊C₄	—	3	1	no	—
1078	C₄⋊C₄	—	3	1	no	—
1079	C₄⋊C₄	—	3	1	no	—
1080	C₄⋊C₄	—	3	1	no	—
1081	C₄⋊C₄	—	3	1	no	—
1082	C₄⋊C₄	—	3	1	no	—
1083	C₄⋊C₄	—	3	1	no	—
1084	C₄⋊C₄	—	3	1	no	—
1085	C₄⋊C₄	—	3	1	no	—
1086	C₄⋊C₄	—	3	1	no	—
1087	C₄⋊C₄	—	3	1	no	—
1088	C₄⋊C₄	—	3	1	no	—
1089	C₄⋊C₄	—	3	1	no	—
1090	C₄⋊C₄	—	3	1	no	—
1091	C₄⋊C₄	—	3	1	no	—
1092	C₄⋊C₄	—	3	1	no	—
1093	C₄⋊C₄	—	3	1	no	—
1094	C₄⋊C₄	—	3	1	no	—
1095	C₄⋊C₄	—	3	1	no	—
1096	C₄⋊C₄	—	3	1	no	—
1097	C₄⋊C₄	—	3	1	no	—
1098	C₄⋊C₄	—	3	1	no	—
1099	C₄⋊C₄	—	3	1	no	—
1100	C₄⋊C₄	—	3	1	no	—
1101	C₄⋊C₄	—	3	1	no	—
1102	C₄⋊C₄	—	3	1	no	—
1103	C₄⋊C₄	—	3	1	no	—
1104	C₄⋊C₄	—	3	1	no	—
1105	C₄⋊C₄	—	3	1	no	—
1106	C₄⋊C₄	—	3	1	no	—
1107	C₄⋊C₄	—	3	1	no	—
1108	C₄⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1109	C₄⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1110	C₄⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1111	C₄⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1112	C₄⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1113	C₄⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1114	C₄⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1115	C₄⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1116	C₂²⋊C₄	—	3	1	no	—
1117	C₂²⋊C₄	—	3	1	no	—
1118	C₂²⋊C₄	—	3	1	no	—
1119	C₂²⋊C₄	—	3	1	no	—
1120	C₂²⋊C₄	—	3	1	no	—
1121	C₂²⋊C₄	—	3	1	no	—
1122	C₂²⋊C₄	—	3	1	no	—
1123	C₂²⋊C₄	—	3	1	no	—
1124	C₂²⋊C₄	—	3	1	no	—
1125	C₂²⋊C₄	—	3	1	no	—
1126	C₂²⋊C₄	—	3	1	no	—
1127	C₂²⋊C₄	—	3	1	no	—
1128	C₂²⋊C₄	—	3	1	no	—
1129	C₂²⋊C₄	—	3	1	no	—
1130	C₂²⋊C₄	—	3	1	no	—
1131	C₂²⋊C₄	—	3	1	no	—
1132	C₂²⋊C₄	—	3	1	no	—
1133	C₂²⋊C₄	—	3	1	no	—
1134	C₂²⋊C₄	—	3	1	no	—
1135	C₂²⋊C₄	—	3	1	no	—
1136	C₂²⋊C₄	—	3	1	no	—
1137	C₂²⋊C₄	—	3	1	no	—
1138	C₂²⋊C₄	—	3	1	no	—
1139	C₂²⋊C₄	—	3	1	no	—
1140	C₂²⋊C₄	—	3	1	no	—
1141	C₂²⋊C₄	—	3	1	no	—
1142	C₂²⋊C₄	—	3	1	no	—
1143	C₂²⋊C₄	—	3	1	no	—
1144	C₂²⋊C₄	—	3	1	no	—
1145	C₂²⋊C₄	—	3	1	no	—
1146	C₂²⋊C₄	—	3	1	no	—
1147	C₂²⋊C₄	—	3	1	no	—
1148	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1149	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1150	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1151	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1152	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1153	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1154	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1155	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1156	C₄²	—	3	1	no	—
1157	C₄²	—	3	1	no	—
1158	C₄²	—	3	1	no	—
1159	C₄²	—	3	1	no	—
1160	C₄²	—	3	1	no	—
1161	C₄²	—	3	1	no	—
1162	C₄²	—	3	1	no	—
1163	C₄²	—	3	1	no	—
1164	C₄²	—	3	1	no	—
1165	C₄²	—	3	1	no	—
1166	C₄²	—	3	1	no	—
1167	C₄²	—	3	1	no	—
1168	C₄²	—	3	1	no	—
1169	C₄²	—	3	1	no	—
1170	C₄²	—	3	1	no	—
1171	C₄²	—	3	1	no	—
1172	C₄²	C₂×C₄×D₃	1	1	yes	characteristic
1173	C₄²	C₂×C₄×D₃	1	1	yes	characteristic
1174	C₄²	C₂×C₄×D₃	1	1	yes	characteristic
1175	C₄²	C₂×C₄×D₃	1	1	yes	characteristic
1176	C₄²	C₂³×D₃	1	1	yes	characteristic
1177	C₄²	C₂³×D₃	1	1	yes	characteristic
1178	C₄²	C₂³×D₃	1	1	yes	characteristic
1179	C₄²	C₂³×D₃	1	1	yes	characteristic
1180	C₂²×C₃	—	2	1	no	—
1181	C₂²×C₃	—	2	1	no	—
1182	C₂²×C₃	—	2	1	no	—
1183	C₂²×C₃	—	2	1	no	—
1184	C₂²×C₃	—	2	1	no	—
1185	C₂²×C₃	—	2	1	no	—
1186	C₂²×C₃	—	2	1	no	—
1187	C₂²×C₃	—	2	1	no	—
1188	C₂²×C₃	—	8	2	no	—
1189	C₂²×C₃	#568	1	2	yes	—
1190	C₂²×C₃	C₂⁴×C₄	1	1	yes	characteristic
1191	C₂×D₃	—	2	1	no	—
1192	C₂×D₃	—	2	1	no	—
1193	C₂×D₃	—	2	1	no	—
1194	C₂×D₃	—	2	1	no	—
1195	C₂×D₃	—	2	1	no	—
1196	C₂×D₃	—	2	1	no	—
1197	C₂×D₃	—	2	1	no	—
1198	C₂×D₃	—	2	1	no	—
1199	C₂×D₃	—	2	1	no	—
1200	C₂×D₃	—	2	1	no	—
1201	C₂×D₃	—	2	1	no	—
1202	C₂×D₃	—	4	4	no	—
1203	C₂×D₃	—	8	2	no	—
1204	C₂×D₃	#568	1	2	yes	—
1205	C₃×C₄	—	2	1	no	—
1206	C₃×C₄	—	2	1	no	—
1207	C₃×C₄	—	2	1	no	—
1208	C₃×C₄	—	2	1	no	—
1209	C₃×C₄	—	2	1	no	—
1210	C₃×C₄	—	2	1	no	—
1211	C₃×C₄	—	2	1	no	—
1212	C₃×C₄	—	2	1	no	—
1213	C₃×C₄	—	2	1	no	—
1214	C₃×C₄	—	2	1	no	—
1215	C₃×C₄	—	2	1	no	—
1216	C₃×C₄	#585	1	2	yes	—
1217	Dic₃	—	2	1	no	—
1218	Dic₃	—	2	1	no	—
1219	Dic₃	—	2	1	no	—
1220	Dic₃	—	2	1	no	—
1221	Dic₃	—	2	1	no	—
1222	Dic₃	—	2	1	no	—
1223	Dic₃	—	2	1	no	—
1224	Dic₃	—	2	1	no	—
1225	Dic₃	—	2	1	no	—
1226	Dic₃	—	2	1	no	—
1227	Dic₃	—	2	1	no	—
1228	Dic₃	—	2	1	no	—
1229	C₂³	—	2	2	no	—
1230	C₂³	—	3	1	no	—
1231	C₂³	—	3	1	no	—
1232	C₂³	—	3	1	no	—
1233	C₂³	—	3	1	no	—
1234	C₂³	—	4	1	no	—
1235	C₂³	—	4	1	no	—
1236	C₂³	—	6	2	no	—
1237	C₂³	—	6	2	no	—
1238	C₂³	—	6	2	no	—
1239	C₂³	—	12	1	no	—
1240	C₂³	—	12	1	no	—
1241	C₂³	—	12	1	no	—
1242	C₂³	C₂²×C₄×D₃	1	1	yes	characteristic
1243	C₂³	C₂²×C₄×D₃	1	1	yes	characteristic
1244	C₂³	C₂²×C₄×D₃	1	1	yes	characteristic
1245	Q₈	—	12	1	no	—
1246	Q₈	—	12	1	no	—
1247	Q₈	—	12	1	no	—
1248	Q₈	—	12	1	no	—
1249	D₄	—	6	2	no	—
1250	D₄	—	6	2	no	—
1251	D₄	—	6	2	no	—
1252	D₄	—	6	2	no	—
1253	D₄	—	12	1	no	—
1254	D₄	—	12	1	no	—
1255	D₄	—	12	1	no	—
1256	D₄	—	12	1	no	—
1257	D₄	—	12	1	no	—
1258	D₄	—	12	1	no	—
1259	D₄	—	12	1	no	—
1260	D₄	—	12	1	no	—
1261	C₂×C₄	—	2	2	no	—
1262	C₂×C₄	—	2	2	no	—
1263	C₂×C₄	—	2	2	no	—
1264	C₂×C₄	—	2	2	no	—
1265	C₂×C₄	—	2	2	no	—
1266	C₂×C₄	—	3	1	no	—
1267	C₂×C₄	—	3	1	no	—
1268	C₂×C₄	—	3	1	no	—
1269	C₂×C₄	—	3	1	no	—
1270	C₂×C₄	—	3	1	no	—
1271	C₂×C₄	—	3	1	no	—
1272	C₂×C₄	—	3	1	no	—
1273	C₂×C₄	—	3	1	no	—
1274	C₂×C₄	—	3	1	no	—
1275	C₂×C₄	—	3	1	no	—
1276	C₂×C₄	—	3	1	no	—
1277	C₂×C₄	—	3	1	no	—
1278	C₂×C₄	—	4	1	no	—
1279	C₂×C₄	—	4	1	no	—
1280	C₂×C₄	—	4	1	no	—
1281	C₂×C₄	—	4	1	no	—
1282	C₂×C₄	—	4	1	no	—
1283	C₂×C₄	—	6	2	no	—
1284	C₂×C₄	—	6	2	no	—
1285	C₂×C₄	—	6	2	no	—
1286	C₂×C₄	—	6	2	no	—
1287	C₂×C₄	—	6	2	no	—
1288	C₂×C₄	—	6	2	no	—
1289	C₂×C₄	—	6	2	no	—
1290	C₂×C₄	—	6	2	no	—
1291	C₂×C₄	—	12	1	no	—
1292	C₂×C₄	—	12	1	no	—
1293	C₂×C₄	—	12	1	no	—
1294	C₂×C₄	—	12	1	no	—
1295	C₂×C₄	—	12	1	no	—
1296	C₂×C₄	—	12	1	no	—
1297	C₂×C₄	—	12	1	no	—
1298	C₂×C₄	—	12	1	no	—
1299	C₂×C₄	—	12	1	no	—
1300	C₂×C₄	—	12	1	no	—
1301	C₂×C₄	—	12	1	no	—
1302	C₂×C₄	—	12	1	no	—
1303	C₂×C₄	—	12	1	no	—
1304	C₂×C₄	—	12	1	no	—
1305	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1306	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1307	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1308	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1309	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1310	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1311	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1312	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1313	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1314	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1315	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1316	C₂×C₄	C₂⁴×D₃	1	1	yes	characteristic
1317	C₈	—	2	2	no	—
1318	C₈	—	2	2	no	—
1319	C₈	—	2	2	no	—
1320	C₈	—	2	2	no	—
1321	C₈	—	6	2	no	—
1322	C₈	—	6	2	no	—
1323	C₈	—	6	2	no	—
1324	C₈	—	6	2	no	—
1325	C₂×C₃	—	2	2	no	—
1326	C₂×C₃	—	4	1	no	—
1327	C₂×C₃	—	4	1	no	—
1328	C₂×C₃	#3428	1	1	yes	characteristic
1329	C₂×C₃	C₂×#568	1	1	yes	characteristic
1330	C₂×C₃	C₂×#568	1	1	yes	characteristic
1331	D₃	—	2	2	no	—
1332	D₃	—	4	1	no	—
1333	D₃	—	4	1	no	—
1334	D₃	—	4	1	no	—
1335	C₂²	—	2	1	no	—
1336	C₂²	—	2	1	no	—
1337	C₂²	—	2	1	no	—
1338	C₂²	—	2	1	no	—
1339	C₂²	—	2	1	no	—
1340	C₂²	—	2	1	no	—
1341	C₂²	—	2	1	no	—
1342	C₂²	—	2	1	no	—
1343	C₂²	—	3	2	no	—
1344	C₂²	—	6	1	no	—
1345	C₂²	—	6	1	no	—
1346	C₂²	—	6	1	no	—
1347	C₂²	—	6	1	no	—
1348	C₂²	—	6	1	no	—
1349	C₂²	—	6	1	no	—
1350	C₂²	—	6	1	no	—
1351	C₂²	—	6	1	no	—
1352	C₂²	—	6	1	no	—
1353	C₂²	—	6	1	no	—
1354	C₂²	—	6	1	no	—
1355	C₂²	—	8	2	no	—
1356	C₂²	—	12	4	no	—
1357	C₂²	—	24	2	no	—
1358	C₂²	#5750	1	2	yes	—
1359	C₂²	C₂³×C₄×D₃	1	1	yes	characteristic
1360	C₄	—	2	1	no	—
1361	C₄	—	2	1	no	—
1362	C₄	—	2	1	no	—
1363	C₄	—	2	1	no	—
1364	C₄	—	2	1	no	—
1365	C₄	—	2	1	no	—
1366	C₄	—	2	1	no	—
1367	C₄	—	2	1	no	—
1368	C₄	—	2	1	no	—
1369	C₄	—	2	1	no	—
1370	C₄	—	2	1	no	—
1371	C₄	—	6	1	no	—
1372	C₄	—	6	1	no	—
1373	C₄	—	6	1	no	—
1374	C₄	—	6	1	no	—
1375	C₄	—	6	1	no	—
1376	C₄	—	6	1	no	—
1377	C₄	—	6	1	no	—
1378	C₄	—	6	1	no	—
1379	C₄	—	6	1	no	—
1380	C₄	—	6	1	no	—
1381	C₄	—	6	1	no	—
1382	C₄	—	6	1	no	—
1383	C₄	#5964	1	2	yes	—
1384	C₃	#60291	1	1	yes	characteristic, complemented, Sylow
1385	C₂	—	2	2	no	—
1386	C₂	—	4	1	no	—
1387	C₂	—	4	1	no	—
1388	C₂	—	6	2	no	—
1389	C₂	—	12	1	no	—
1390	C₂	—	12	1	no	—
1391	C₂	—	12	1	no	—
1392	C₂	#85731	1	1	yes	characteristic
1393	C₂	C₂×#5750	1	1	yes	characteristic
1394	C₂	D₃×#568	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₄	C₂⁴×D₃
commutator, socle	C₂²×C₃	C₂⁴×C₄
Fitting	C₃×#2924	C₂
prime radical	C₂×#884	C₄
cosocle	C₂×C₃×C₄	C₂⁵
hypercenter	#2924	D₃
hypocenter	C₃	#60291
LCS	G ▷ C₂²×C₃ ▷ C₃
UCS	C₁ ◁ C₂×C₄ ◁ #2924

Complements

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

N	H ≅ G/N	type
2. C₃×#2924	C₂	semidirect
3. #82210	C₂	semidirect
4. #79382	C₂	semidirect
5. #79379	C₂	semidirect
6. #79368	C₂	semidirect
7. #79367	C₂	semidirect
8. #79336	C₂	semidirect
9. #79333	C₂	semidirect
10. D₃×#432	C₂	semidirect
11. #79314	C₂	semidirect
12. #79287	C₂	semidirect
13. #79284	C₂	semidirect
14. #79282	C₂	semidirect
15. #79264	C₂	semidirect
16. #79085	C₂	semidirect
17. #79082	C₂	semidirect
18. #78633	C₂	semidirect
19. #78632	C₂	semidirect
20. #78603	C₂	semidirect
21. #78602	C₂	semidirect
22. #78558	C₂	semidirect
23. #78557	C₂	semidirect
56. C₃×#433	C₂²	semidirect
57. C₃×#433	C₂²	semidirect
62. C₃×#424	C₂²	semidirect
65. C₃×#405	C₂²	semidirect
68. #5128	C₂²	semidirect
69. #5127	C₂²	semidirect
70. #5127	C₂²	semidirect
71. #5127	C₂²	semidirect
72. #5111	C₂²	semidirect
73. #5111	C₂²	semidirect
74. #5111	C₂²	semidirect
75. C₈×#67	C₂²	semidirect
76. #5000	C₂²	semidirect
77. #5000	C₂²	semidirect
78. #4999	C₂²	semidirect
79. #4997	C₂²	semidirect
84. #4840	C₂²	semidirect
85. #4840	C₂²	semidirect
86. #4839	C₂²	semidirect
87. #4839	C₂²	semidirect
88. #4838	C₂²	semidirect
89. #4837	C₂²	semidirect
90. #4836	C₂²	semidirect
91. #4836	C₂²	semidirect
92. #4835	C₂²	semidirect
93. #4835	C₂²	semidirect
94. #4834	C₂²	semidirect
95. D₃×C₄⋊C₈	C₂²	semidirect
96. #4831	C₂²	semidirect
97. #4831	C₂²	semidirect
98. #4828	C₂²	semidirect
99. #4828	C₂²	semidirect
100. #4730	C₂²	semidirect
101. #4730	C₂²	semidirect
102. #4730	C₂²	semidirect
103. #4729	C₂²	semidirect
104. #4728	C₂²	semidirect
105. #4728	C₂²	semidirect
106. #4728	C₂²	semidirect
111. #67⋊C₈	C₂²	semidirect
124. #4709	C₂²	semidirect
125. #4708	C₂²	semidirect
126. #4706	C₂²	semidirect
127. #4706	C₂²	semidirect
128. #4705	C₂²	semidirect
129. D₃×#97	C₂²	semidirect
130. #4701	C₂²	semidirect
131. #4701	C₂²	semidirect
132. #4690	C₂²	semidirect
133. #4689	C₂²	semidirect
134. #4688	C₂²	semidirect
135. C₄×ΓL(1,𝔽₂₅)	C₂²	semidirect
136. C₈×D₁₂	C₂²	semidirect
137. #4685	C₂²	semidirect
138. #4679	C₂²	semidirect
139. #4679	C₂²	semidirect
160. #2924	D₃	semidirect
451. #433	C₂×D₃	semidirect
452. #433	C₂×D₃	semidirect
476. #424	C₂×D₃	semidirect
494. #405	C₂×D₃	semidirect
1384. C₃	#60291	semidirect

Maximal subgroups

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

subgroup	index
C₂×#5528	2
C₃×#2924	2
#82210	2
#79382	2
#79379	2
#79368	2
#79367	2
#79336	2
#79333	2
D₃×#432	2
#79314	2
#79287	2
#79284	2
#79282	2
#79264	2
#79085	2
#79082	2
#78633	2
#78632	2
#78603	2
#78602	2
#78558	2
#78557	2
#60291	3