Subgroups — #6357816

Order 512.

2027 conjugacy classes of subgroups.

The subgroup lattice has 1430 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#60972	C₂	1	1	yes	maximal, characteristic, complemented
2	#60965	C₂	1	1	yes	maximal, characteristic, complemented
3	#60803	C₂	1	1	yes	maximal, characteristic, complemented
4	#60801	C₂	1	1	yes	maximal, characteristic, complemented
5	#60700	C₂	1	1	yes	maximal, characteristic, complemented
6	#60700	C₂	1	1	yes	maximal, characteristic, complemented
7	#19754	C₂	1	1	yes	maximal, characteristic, complemented
8	#19752	C₂	1	1	yes	maximal, characteristic, complemented
9	#19750	C₂	1	1	yes	maximal, characteristic, complemented
10	#19749	C₂	1	1	yes	maximal, characteristic, complemented
11	#19748	C₂	1	1	yes	maximal, characteristic, complemented
12	#19747	C₂	1	1	yes	maximal, characteristic, complemented
13	#19747	C₂	1	1	yes	maximal, characteristic, complemented
14	#19745	C₂	1	1	yes	maximal, characteristic, complemented
15	#19729	C₂	1	1	yes	maximal, characteristic, complemented
16	#19727	C₂	1	1	yes	maximal, characteristic, complemented
17	#19726	C₂	1	1	yes	maximal, characteristic, complemented
18	#19722	C₂	1	1	yes	maximal, characteristic, complemented
19	#19719	C₂	1	1	yes	maximal, characteristic, complemented
20	#19718	C₂	1	1	yes	maximal, characteristic, complemented
21	#19715	C₂	1	1	yes	maximal, characteristic, complemented
22	#19714	C₂	1	1	yes	maximal, characteristic, complemented
23	#19710	C₂	1	1	yes	maximal, characteristic, complemented
24	#19709	C₂	1	1	yes	maximal, characteristic, complemented
25	#19708	C₂	1	1	yes	maximal, characteristic, complemented
26	#19708	C₂	1	1	yes	maximal, characteristic, complemented
27	#19670	C₂	1	1	yes	maximal, characteristic, complemented
28	#19670	C₂	1	1	yes	maximal, characteristic, complemented
29	#19667	C₂	1	1	yes	maximal, characteristic, complemented
30	#19665	C₂	1	1	yes	maximal, characteristic, complemented
31	#17334	C₂	1	1	yes	maximal, characteristic, complemented
32	#3444	C₂²	1	1	yes	characteristic
33	#3444	C₂²	1	1	yes	characteristic
34	C₂×#532	C₂²	1	1	yes	characteristic
35	C₂×#532	C₂²	1	1	yes	characteristic
36	#3256	—	2	2	no	—
37	#3251	—	2	2	no	—
38	#3231	C₂²	1	1	yes	characteristic, complemented
39	#3231	C₂²	1	1	yes	characteristic, complemented
40	#3229	C₂²	1	1	yes	characteristic, complemented
41	#3228	C₂²	1	1	yes	characteristic, complemented
42	#3228	C₂²	1	1	yes	characteristic, complemented
43	#3228	C₂²	1	1	yes	characteristic, complemented
44	#3228	C₂²	1	1	yes	characteristic, complemented
45	#3226	C₂²	1	1	yes	characteristic, complemented
46	#3219	—	2	2	no	—
47	#3219	—	2	2	no	—
48	#3214	—	2	2	no	—
49	#3213	—	2	2	no	—
50	#3210	C₂²	1	1	yes	characteristic
51	#3210	C₂²	1	1	yes	characteristic
52	#3210	C₂²	1	1	yes	characteristic, complemented
53	#3210	C₂²	1	1	yes	characteristic, complemented
54	#3210	C₂²	1	1	yes	characteristic, complemented
55	#3210	C₂²	1	1	yes	characteristic, complemented
56	#3208	C₂²	1	1	yes	characteristic, complemented
57	#3207	C₂²	1	1	yes	characteristic
58	#3207	C₂²	1	1	yes	characteristic
59	#3207	C₂²	1	1	yes	characteristic
60	#3207	C₂²	1	1	yes	characteristic
61	#3207	C₂²	1	1	yes	characteristic
62	#3207	C₂²	1	1	yes	characteristic
63	#3207	C₂²	1	1	yes	characteristic, complemented
64	#3207	C₂²	1	1	yes	characteristic, complemented
65	#3207	C₂²	1	1	yes	characteristic, complemented
66	#3207	C₂²	1	1	yes	characteristic, complemented
67	#3207	C₂²	1	1	yes	characteristic, complemented
68	#3207	C₂²	1	1	yes	characteristic, complemented
69	#3206	C₂²	1	1	yes	characteristic
70	#3206	C₂²	1	1	yes	characteristic
71	#3205	C₂²	1	1	yes	characteristic
72	#3205	C₂²	1	1	yes	characteristic
73	#3205	C₂²	1	1	yes	characteristic, complemented
74	#3197	—	2	2	no	—
75	#3194	—	2	2	no	—
76	#3185	C₂²	1	1	yes	characteristic, complemented
77	#3184	C₂²	1	1	yes	characteristic
78	#3184	C₂²	1	1	yes	characteristic
79	#3184	C₂²	1	1	yes	characteristic
80	#3184	C₂²	1	1	yes	characteristic
81	#3184	C₂²	1	1	yes	characteristic
82	#3184	C₂²	1	1	yes	characteristic
83	#3184	C₂²	1	1	yes	characteristic, complemented
84	#3182	C₂²	1	1	yes	characteristic
85	#3182	C₂²	1	1	yes	characteristic
86	#3182	C₂²	1	1	yes	characteristic
87	#3182	C₂²	1	1	yes	characteristic
88	#3182	C₂²	1	1	yes	characteristic
89	#3182	C₂²	1	1	yes	characteristic
90	#3182	C₂²	1	1	yes	characteristic, complemented
91	#3182	C₂²	1	1	yes	characteristic, complemented
92	#3180	—	2	2	no	—
93	#3180	—	2	2	no	—
94	#3171	—	2	2	no	—
95	#3171	—	2	2	no	—
96	#3169	C₂²	1	1	yes	characteristic, complemented
97	#3169	C₂²	1	1	yes	characteristic, complemented
98	#3169	C₂²	1	1	yes	characteristic, complemented
99	#3169	C₂²	1	1	yes	characteristic, complemented
100	#3167	C₂²	1	1	yes	characteristic, complemented
101	#3167	C₂²	1	1	yes	characteristic, complemented
102	#3167	C₂²	1	1	yes	characteristic, complemented
103	#3167	C₂²	1	1	yes	characteristic, complemented
104	#3165	C₂²	1	1	yes	characteristic, complemented
105	#3165	C₂²	1	1	yes	characteristic, complemented
106	#3152	C₂²	1	1	yes	characteristic, complemented
107	#3151	C₂²	1	1	yes	characteristic
108	#3151	C₂²	1	1	yes	characteristic
109	#3151	C₂²	1	1	yes	characteristic, complemented
110	#3151	C₂²	1	1	yes	characteristic, complemented
111	#3151	C₂²	1	1	yes	characteristic, complemented
112	#3141	C₂²	1	1	yes	characteristic
113	#3141	C₂²	1	1	yes	characteristic
114	#3141	C₂²	1	1	yes	characteristic, complemented
115	#3141	C₂²	1	1	yes	characteristic, complemented
116	#3139	C₂²	1	1	yes	characteristic, complemented
117	#3138	C₂²	1	1	yes	characteristic, complemented
118	#3138	C₂²	1	1	yes	characteristic, complemented
119	#3138	C₂²	1	1	yes	characteristic, complemented
120	#3115	—	2	2	no	—
121	#3114	—	2	2	no	—
122	#3111	—	2	2	no	—
123	#3111	—	2	2	no	—
124	#3055	—	2	2	no	—
125	#3055	—	2	2	no	—
126	#3040	—	2	2	no	—
127	#3036	—	2	2	no	—
128	#3006	—	2	2	no	—
129	#3005	—	2	2	no	—
130	C₄×AGL(1,ℤ/8)	—	2	2	no	—
131	C₄×AGL(1,ℤ/8)	—	2	2	no	—
132	#2920	C₂²	1	1	yes	characteristic
133	#2920	C₂²	1	1	yes	characteristic
134	C₂×C₄×M₁₆	C₂²	1	1	yes	characteristic
135	#1723	C₂²	1	1	yes	characteristic, complemented
136	#1723	C₂²	1	1	yes	characteristic, complemented
137	#1722	C₂²	1	1	yes	characteristic, complemented
138	#1722	C₂²	1	1	yes	characteristic, complemented
139	#1721	C₂²	1	1	yes	characteristic, complemented
140	#1721	C₂²	1	1	yes	characteristic, complemented
141	#1721	C₂²	1	1	yes	characteristic, complemented
142	#1721	C₂²	1	1	yes	characteristic, complemented
143	#1721	C₂²	1	1	yes	characteristic, complemented
144	#1721	C₂²	1	1	yes	characteristic, complemented
145	#1721	C₂²	1	1	yes	characteristic, complemented
146	#1721	C₂²	1	1	yes	characteristic, complemented
147	#1720	C₂²	1	1	yes	characteristic, complemented
148	#1720	C₂²	1	1	yes	characteristic, complemented
149	#1720	C₂²	1	1	yes	characteristic, complemented
150	#1720	C₂²	1	1	yes	characteristic, complemented
151	#1719	C₂²	1	1	yes	characteristic, complemented
152	#1719	C₂²	1	1	yes	characteristic, complemented
153	#1719	C₂²	1	1	yes	characteristic, complemented
154	#1719	C₂²	1	1	yes	characteristic, complemented
155	#1719	C₂²	1	1	yes	characteristic, complemented
156	#1719	C₂²	1	1	yes	characteristic, complemented
157	#1718	C₂²	1	1	yes	characteristic, complemented
158	#1718	C₂²	1	1	yes	characteristic, complemented
159	#1718	C₂²	1	1	yes	characteristic, complemented
160	#1718	C₂²	1	1	yes	characteristic, complemented
161	#1717	C₂²	1	1	yes	characteristic, complemented
162	#1717	C₂²	1	1	yes	characteristic, complemented
163	#1717	C₂²	1	1	yes	characteristic, complemented
164	#1717	C₂²	1	1	yes	characteristic, complemented
165	#1717	C₂²	1	1	yes	characteristic, complemented
166	#1717	C₂²	1	1	yes	characteristic, complemented
167	#1717	C₂²	1	1	yes	characteristic, complemented
168	#1717	C₂²	1	1	yes	characteristic, complemented
169	#1717	C₂²	1	1	yes	characteristic, complemented
170	#1717	C₂²	1	1	yes	characteristic, complemented
171	#1716	C₂²	1	1	yes	characteristic, complemented
172	#1715	C₂²	1	1	yes	characteristic, complemented
173	#1715	C₂²	1	1	yes	characteristic, complemented
174	#1715	C₂²	1	1	yes	characteristic, complemented
175	#1715	C₂²	1	1	yes	characteristic, complemented
176	#1715	C₂²	1	1	yes	characteristic, complemented
177	#1714	C₂²	1	1	yes	characteristic, complemented
178	#1714	C₂²	1	1	yes	characteristic, complemented
179	#1714	C₂²	1	1	yes	characteristic, complemented
180	#1714	C₂²	1	1	yes	characteristic, complemented
181	#1714	C₂²	1	1	yes	characteristic, complemented
182	#1714	C₂²	1	1	yes	characteristic, complemented
183	#1712	C₂²	1	1	yes	characteristic, complemented
184	#1711	C₂²	1	1	yes	characteristic, complemented
185	#1711	C₂²	1	1	yes	characteristic, complemented
186	#1710	C₂²	1	1	yes	characteristic, complemented
187	#1709	C₂²	1	1	yes	characteristic, complemented
188	#1709	C₂²	1	1	yes	characteristic, complemented
189	#1708	C₂²	1	1	yes	characteristic, complemented
190	#1708	C₂²	1	1	yes	characteristic, complemented
191	#1708	C₂²	1	1	yes	characteristic, complemented
192	#1707	C₂²	1	1	yes	characteristic, complemented
193	#1706	C₂²	1	1	yes	characteristic, complemented
194	#1706	C₂²	1	1	yes	characteristic, complemented
195	#1706	C₂²	1	1	yes	characteristic, complemented
196	#1706	C₂²	1	1	yes	characteristic, complemented
197	#1706	C₂²	1	1	yes	characteristic, complemented
198	#1705	C₂²	1	1	yes	characteristic, complemented
199	#1455	C₂²	1	1	yes	characteristic, complemented
200	#1455	C₂²	1	1	yes	characteristic, complemented
201	#1455	C₂²	1	1	yes	characteristic, complemented
202	#1455	C₂²	1	1	yes	characteristic, complemented
203	#1453	C₂²	1	1	yes	characteristic, complemented
204	#1453	C₂²	1	1	yes	characteristic, complemented
205	#1453	C₂²	1	1	yes	characteristic, complemented
206	#1453	C₂²	1	1	yes	characteristic, complemented
207	#1452	C₂²	1	1	yes	characteristic, complemented
208	#1452	C₂²	1	1	yes	characteristic, complemented
209	#1450	C₂²	1	1	yes	characteristic, complemented
210	#1450	C₂²	1	1	yes	characteristic, complemented
211	C₂²×#41	—	2	1	no	—
212	C₂²×#41	—	2	1	no	—
213	C₂×#137	—	2	2	no	—
214	C₂×AGL(1,ℤ/8)	—	2	2	no	—
215	C₂×AGL(1,ℤ/8)	—	2	2	no	—
216	C₂×AGL(1,ℤ/8)	—	2	2	no	—
217	C₂×AGL(1,ℤ/8)	—	2	2	no	—
218	C₂×AGL(1,ℤ/8)	—	2	2	no	—
219	C₂²×M₁₆	D₄	1	2	yes	—
220	#533	C₂³	1	1	yes	characteristic
221	#533	C₂³	1	1	yes	characteristic
222	#533	C₂³	1	1	yes	characteristic
223	#533	C₂³	1	1	yes	characteristic
224	#533	C₂³	1	1	yes	characteristic
225	#533	C₂³	1	1	yes	characteristic
226	#532	—	2	1	no	—
227	#532	—	2	1	no	—
228	#532	—	2	1	no	—
229	#532	—	2	1	no	—
230	#532	—	2	1	no	—
231	#532	—	2	1	no	—
232	#532	—	2	1	no	—
233	#532	—	2	1	no	—
234	#532	—	2	1	no	—
235	#532	—	2	1	no	—
236	#532	—	2	1	no	—
237	#532	—	2	1	no	—
238	#532	C₂³	1	1	yes	characteristic
239	#532	C₂³	1	1	yes	characteristic
240	#532	C₂³	1	1	yes	characteristic
241	#532	C₂³	1	1	yes	characteristic
242	#532	C₂³	1	1	yes	characteristic
243	#532	C₂³	1	1	yes	characteristic
244	#532	C₂³	1	1	yes	characteristic
245	#532	C₂³	1	1	yes	characteristic
246	#532	C₂³	1	1	yes	characteristic
247	#532	C₂³	1	1	yes	characteristic
248	#532	C₂³	1	1	yes	characteristic
249	#532	C₂³	1	1	yes	characteristic
250	#532	C₂³	1	1	yes	characteristic
251	#532	C₂³	1	1	yes	characteristic
252	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
253	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
254	C₂×#127	C₂³	1	1	yes	characteristic
255	C₂×#127	C₂³	1	1	yes	characteristic
256	#529	—	2	1	no	—
257	#529	—	2	1	no	—
258	#529	—	2	1	no	—
259	#529	—	2	1	no	—
260	#529	—	2	1	no	—
261	#529	—	2	1	no	—
262	#529	—	2	1	no	—
263	#529	—	2	1	no	—
264	#529	—	2	1	no	—
265	#529	—	2	1	no	—
266	#529	—	2	1	no	—
267	#529	—	2	1	no	—
268	C₂×#124	—	2	1	no	—
269	C₂×#124	—	2	1	no	—
270	#525	—	2	1	no	—
271	#525	—	2	1	no	—
272	#525	—	2	1	no	—
273	#525	—	2	1	no	—
274	#525	—	2	1	no	—
275	#525	—	2	1	no	—
276	C₂×#121	—	2	1	no	—
277	C₂×#121	—	2	1	no	—
278	C₂×#121	—	2	1	no	—
279	C₂×#121	—	2	1	no	—
280	C₄×#41	—	2	1	no	—
281	C₄×#41	—	2	1	no	—
282	C₄×#41	—	2	1	no	—
283	C₄×#41	—	2	1	no	—
284	C₄×#41	—	2	1	no	—
285	C₄×#41	—	2	1	no	—
286	C₂×C₄×D₄	—	2	1	no	—
287	C₂×C₄×D₄	—	2	1	no	—
288	C₂×C₄×D₄	—	2	1	no	—
289	C₂×C₄×D₄	—	2	1	no	—
290	C₂²×C₄²	C₂³	1	1	yes	characteristic
291	#501	—	2	2	no	—
292	#501	—	2	2	no	—
293	#500	C₂³	1	1	yes	characteristic
294	#500	C₂³	1	1	yes	characteristic
295	#500	C₂³	1	1	yes	characteristic
296	#500	C₂³	1	1	yes	characteristic
297	#500	C₂³	1	1	yes	characteristic
298	#500	C₂³	1	1	yes	characteristic
299	#500	C₂³	1	1	yes	characteristic
300	#500	C₂³	1	1	yes	characteristic
301	#498	C₂³	1	1	yes	characteristic
302	#498	C₂³	1	1	yes	characteristic
303	#498	C₂³	1	1	yes	characteristic
304	#498	C₂³	1	1	yes	characteristic
305	#498	C₂³	1	1	yes	characteristic
306	#498	C₂³	1	1	yes	characteristic
307	#498	C₂³	1	1	yes	characteristic
308	#498	C₂³	1	1	yes	characteristic
309	#497	—	2	2	no	—
310	#496	—	2	2	no	—
311	#496	—	2	2	no	—
312	#496	—	2	2	no	—
313	#496	—	2	2	no	—
314	#496	—	2	2	no	—
315	#494	C₂³	1	1	yes	characteristic
316	#494	C₂³	1	1	yes	characteristic
317	#494	C₂³	1	1	yes	characteristic
318	#493	C₂³	1	1	yes	characteristic
319	#493	C₂³	1	1	yes	characteristic
320	#493	C₂³	1	1	yes	characteristic
321	#493	C₂³	1	1	yes	characteristic
322	#493	C₂³	1	1	yes	characteristic
323	#493	C₂³	1	1	yes	characteristic
324	#493	C₂³	1	1	yes	characteristic
325	#493	C₂³	1	1	yes	characteristic
326	#493	C₂³	1	1	yes	characteristic
327	#493	C₂³	1	1	yes	characteristic
328	#493	C₂³	1	1	yes	characteristic
329	#493	C₂³	1	1	yes	characteristic
330	#493	C₂³	1	1	yes	characteristic
331	#492	C₂³	1	1	yes	characteristic
332	#492	C₂³	1	1	yes	characteristic
333	#492	C₂³	1	1	yes	characteristic
334	#492	C₂³	1	1	yes	characteristic
335	#492	C₂³	1	1	yes	characteristic
336	#492	C₂³	1	1	yes	characteristic
337	#492	C₂³	1	1	yes	characteristic
338	#492	C₂³	1	1	yes	characteristic
339	#492	C₂³	1	1	yes	characteristic
340	#492	C₂³	1	1	yes	characteristic
341	#492	C₂³	1	1	yes	characteristic
342	#492	C₂³	1	1	yes	characteristic
343	#492	C₂³	1	1	yes	characteristic
344	#492	C₂³	1	1	yes	characteristic
345	#492	C₂³	1	1	yes	characteristic
346	#492	C₂³	1	1	yes	characteristic
347	#491	—	2	2	no	—
348	#490	—	2	2	no	—
349	#490	—	2	2	no	—
350	#490	—	2	2	no	—
351	#489	—	2	2	no	—
352	#489	—	2	2	no	—
353	#489	—	2	2	no	—
354	#489	—	2	2	no	—
355	#487	C₂³	1	1	yes	characteristic
356	#487	C₂³	1	1	yes	characteristic
357	#487	C₂³	1	1	yes	characteristic
358	#487	C₂³	1	1	yes	characteristic
359	#487	C₂³	1	1	yes	characteristic
360	#487	C₂³	1	1	yes	characteristic
361	#487	C₂³	1	1	yes	characteristic
362	#487	C₂³	1	1	yes	characteristic
363	#487	C₂³	1	1	yes	characteristic
364	#487	C₂³	1	1	yes	characteristic
365	#487	C₂³	1	1	yes	characteristic
366	#487	C₂³	1	1	yes	characteristic
367	#487	C₂³	1	1	yes	characteristic
368	#487	C₂³	1	1	yes	characteristic
369	#487	C₂³	1	1	yes	characteristic
370	#487	C₂³	1	1	yes	characteristic
371	#487	C₂³	1	1	yes	characteristic
372	#487	C₂³	1	1	yes	characteristic
373	#486	C₂³	1	1	yes	characteristic
374	#486	C₂³	1	1	yes	characteristic
375	#486	C₂³	1	1	yes	characteristic
376	#486	C₂³	1	1	yes	characteristic
377	#486	C₂³	1	1	yes	characteristic
378	#486	C₂³	1	1	yes	characteristic
379	#486	C₂³	1	1	yes	characteristic
380	#486	C₂³	1	1	yes	characteristic
381	#486	C₂³	1	1	yes	characteristic
382	#486	C₂³	1	1	yes	characteristic
383	#486	C₂³	1	1	yes	characteristic
384	#486	C₂³	1	1	yes	characteristic
385	#486	C₂³	1	1	yes	characteristic
386	#486	C₂³	1	1	yes	characteristic
387	#486	C₂³	1	1	yes	characteristic
388	#486	C₂³	1	1	yes	characteristic
389	#486	C₂³	1	1	yes	characteristic
390	#486	C₂³	1	1	yes	characteristic
391	#486	C₂³	1	1	yes	characteristic
392	#486	C₂³	1	1	yes	characteristic
393	#486	C₂³	1	1	yes	characteristic
394	#486	C₂³	1	1	yes	characteristic
395	#486	C₂³	1	1	yes	characteristic
396	#486	C₂³	1	1	yes	characteristic
397	#486	C₂³	1	1	yes	characteristic
398	#486	C₂³	1	1	yes	characteristic
399	#486	C₂³	1	1	yes	characteristic
400	#486	C₂³	1	1	yes	characteristic
401	#486	C₂³	1	1	yes	characteristic
402	#486	C₂³	1	1	yes	characteristic
403	#485	—	2	2	no	—
404	#485	—	2	2	no	—
405	#483	—	2	2	no	—
406	#482	—	2	2	no	—
407	#482	—	2	2	no	—
408	#482	—	2	2	no	—
409	#482	—	2	2	no	—
410	#480	—	2	2	no	—
411	#479	—	2	2	no	—
412	#479	—	2	2	no	—
413	#478	—	2	2	no	—
414	#478	—	2	2	no	—
415	#478	—	2	2	no	—
416	#478	—	2	2	no	—
417	#475	—	2	2	no	—
418	#474	—	2	2	no	—
419	#470	—	2	2	no	—
420	#469	—	2	2	no	—
421	#469	—	2	2	no	—
422	#469	—	2	2	no	—
423	#469	—	2	2	no	—
424	#469	—	2	2	no	—
425	#469	—	2	2	no	—
426	#469	—	2	2	no	—
427	#468	—	2	2	no	—
428	#468	—	2	2	no	—
429	#468	—	2	2	no	—
430	#468	—	2	2	no	—
431	#468	—	2	2	no	—
432	#468	—	2	2	no	—
433	#468	—	2	2	no	—
434	#468	—	2	2	no	—
435	#466	—	2	2	no	—
436	#466	—	2	2	no	—
437	#466	—	2	2	no	—
438	#466	—	2	2	no	—
439	#465	—	2	2	no	—
440	#465	—	2	2	no	—
441	#465	—	2	2	no	—
442	#465	—	2	2	no	—
443	#464	—	2	2	no	—
444	#464	—	2	2	no	—
445	#464	—	2	2	no	—
446	#464	—	2	2	no	—
447	#464	—	2	2	no	—
448	#464	—	2	2	no	—
449	#463	—	2	2	no	—
450	#463	—	2	2	no	—
451	#463	—	2	2	no	—
452	#463	—	2	2	no	—
453	#463	—	2	2	no	—
454	#463	—	2	2	no	—
455	#463	—	2	2	no	—
456	#463	—	2	2	no	—
457	#463	—	2	2	no	—
458	#463	—	2	2	no	—
459	#463	—	2	2	no	—
460	#463	—	2	2	no	—
461	#461	—	2	2	no	—
462	#461	—	2	2	no	—
463	#460	—	2	2	no	—
464	#459	—	2	2	no	—
465	#459	—	2	2	no	—
466	#459	—	2	2	no	—
467	#452	—	2	2	no	—
468	#452	—	2	2	no	—
469	#452	—	2	2	no	—
470	#452	—	2	2	no	—
471	#452	—	2	2	no	—
472	#452	—	2	2	no	—
473	#450	—	2	2	no	—
474	#449	—	2	2	no	—
475	#449	—	2	2	no	—
476	#449	—	2	2	no	—
477	#449	—	2	2	no	—
478	#449	—	2	2	no	—
479	#449	—	2	2	no	—
480	#449	—	2	2	no	—
481	#449	—	2	2	no	—
482	#449	—	2	2	no	—
483	#449	—	2	2	no	—
484	#449	—	2	2	no	—
485	#449	—	2	2	no	—
486	#448	—	2	2	no	—
487	#448	—	2	2	no	—
488	#447	—	2	2	no	—
489	#447	—	2	2	no	—
490	#447	—	2	2	no	—
491	#442	—	2	2	no	—
492	#442	—	2	2	no	—
493	#442	—	2	2	no	—
494	#442	—	2	2	no	—
495	#442	—	2	2	no	—
496	#442	—	2	2	no	—
497	#442	—	2	2	no	—
498	#441	—	2	2	no	—
499	#440	—	2	2	no	—
500	#440	—	2	2	no	—
501	#440	—	2	2	no	—
502	#440	—	2	2	no	—
503	#440	—	2	2	no	—
504	#440	—	2	2	no	—
505	#440	—	2	2	no	—
506	#440	—	2	2	no	—
507	C₄×SD₁₆	—	2	2	no	—
508	C₄×SD₁₆	—	2	2	no	—
509	C₄×SD₁₆	—	2	2	no	—
510	C₄×SD₁₆	—	2	2	no	—
511	C₄×D₈	—	2	2	no	—
512	C₄×D₈	—	2	2	no	—
513	C₄×D₈	—	2	2	no	—
514	C₄×D₈	—	2	2	no	—
515	#432	D₄	1	2	yes	—
516	#432	D₄	1	2	yes	—
517	#432	D₄	1	2	yes	—
518	#432	D₄	1	2	yes	—
519	#431	C₂³	1	1	yes	characteristic
520	#431	C₂³	1	1	yes	characteristic
521	#431	C₂³	1	1	yes	characteristic
522	#431	C₂³	1	1	yes	characteristic
523	#431	C₂³	1	1	yes	characteristic
524	#431	C₂³	1	1	yes	characteristic
525	#431	C₂³	1	1	yes	characteristic
526	#431	C₂³	1	1	yes	characteristic
527	#428	—	2	2	no	—
528	#428	—	2	2	no	—
529	#423	D₄	1	2	yes	—
530	#423	D₄	1	2	yes	—
531	#419	—	2	2	no	—
532	#418	—	2	2	no	—
533	#418	—	2	2	no	—
534	#418	—	2	2	no	—
535	#417	—	2	2	no	—
536	#417	—	2	2	no	—
537	#417	—	2	2	no	—
538	#417	—	2	2	no	—
539	#407	D₄	1	2	yes	—
540	#407	D₄	1	2	yes	—
541	C₄×M₁₆	D₄	1	2	yes	—
542	C₄×M₁₆	D₄	1	2	yes	—
543	C₄×M₁₆	C₂³	1	1	yes	characteristic
544	C₄×M₁₆	C₂³	1	1	yes	characteristic
545	C₄×M₁₆	C₂³	1	1	yes	characteristic
546	C₄×M₁₆	C₂³	1	1	yes	characteristic
547	C₄×M₁₆	C₂³	1	1	yes	characteristic
548	C₄×M₁₆	C₂³	1	1	yes	characteristic
549	C₄×M₁₆	C₂³	1	1	yes	characteristic
550	C₄×M₁₆	C₂³	1	1	yes	characteristic
551	C₂×#97	D₄	1	2	yes	—
552	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
553	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
554	#322	C₂³	1	1	yes	characteristic
555	#322	C₂³	1	1	yes	characteristic
556	#322	C₂³	1	1	yes	characteristic
557	#322	C₂³	1	1	yes	characteristic
558	#322	C₂³	1	1	yes	characteristic
559	#322	C₂³	1	1	yes	characteristic
560	#322	C₂³	1	1	yes	characteristic
561	#322	C₂³	1	1	yes	characteristic
562	#322	C₂³	1	1	yes	characteristic
563	#322	C₂³	1	1	yes	characteristic
564	#322	C₂³	1	1	yes	characteristic
565	#322	C₂³	1	1	yes	characteristic
566	C₈²	C₂³	1	1	yes	characteristic
567	C₈²	C₂³	1	1	yes	characteristic
568	C₈²	C₂³	1	1	yes	characteristic
569	C₈²	C₂³	1	1	yes	characteristic
570	C₂×#41	—	2	1	no	—
571	C₂×#41	—	2	1	no	—
572	C₂×#41	—	2	1	no	—
573	C₂×#41	—	2	1	no	—
574	C₂×#41	—	2	1	no	—
575	C₂×#41	—	2	1	no	—
576	C₂×#41	—	2	1	no	—
577	C₂×#41	—	2	1	no	—
578	C₂×#41	—	2	1	no	—
579	C₂×#41	—	2	1	no	—
580	C₂×#41	—	2	1	no	—
581	C₂×#41	—	2	1	no	—
582	C₂×#41	—	2	1	no	—
583	C₂×#41	—	2	1	no	—
584	C₂×#41	—	4	1	no	—
585	C₂×#41	—	4	1	no	—
586	C₂×#41	—	4	1	no	—
587	C₂×#41	—	4	1	no	—
588	C₂×#41	—	8	4	no	—
589	C₂×#41	—	8	4	no	—
590	C₂²×Q₈	—	2	1	no	—
591	C₂²×Q₈	—	2	1	no	—
592	C₂²×D₄	—	2	1	no	—
593	C₂²×D₄	—	2	1	no	—
594	C₂²×D₄	—	2	1	no	—
595	C₂²×D₄	—	2	1	no	—
596	C₂²×D₄	—	2	1	no	—
597	C₂²×D₄	—	2	1	no	—
598	C₂²×D₄	—	4	1	no	—
599	C₂²×D₄	—	4	1	no	—
600	C₂³×C₄	—	4	1	no	—
601	C₂³×C₄	—	4	1	no	—
602	C₂³×C₄	C₂×D₄	1	1	yes	characteristic
603	C₂³×C₄	C₂×D₄	1	1	yes	characteristic
604	C₂³×C₄	C₂×D₄	1	1	yes	characteristic
605	#137	—	8	4	no	—
606	AGL(1,ℤ/8)	—	4	8	no	—
607	AGL(1,ℤ/8)	—	4	8	no	—
608	AGL(1,ℤ/8)	—	8	4	no	—
609	AGL(1,ℤ/8)	—	8	4	no	—
610	AGL(1,ℤ/8)	—	8	4	no	—
611	C₂×Q₁₆	—	2	2	no	—
612	C₂×Q₁₆	—	2	2	no	—
613	C₂×Q₁₆	—	2	2	no	—
614	C₂×SD₁₆	—	2	2	no	—
615	C₂×SD₁₆	—	2	2	no	—
616	C₂×SD₁₆	—	2	2	no	—
617	C₂×SD₁₆	—	2	2	no	—
618	C₂×SD₁₆	—	2	2	no	—
619	C₂×SD₁₆	—	2	2	no	—
620	C₂×SD₁₆	—	2	2	no	—
621	C₂×SD₁₆	—	2	2	no	—
622	C₂×SD₁₆	—	2	2	no	—
623	C₂×SD₁₆	—	2	2	no	—
624	C₂×SD₁₆	—	2	2	no	—
625	C₂×SD₁₆	—	2	2	no	—
626	C₂×SD₁₆	—	2	2	no	—
627	C₂×SD₁₆	—	2	2	no	—
628	C₂×SD₁₆	—	2	2	no	—
629	C₂×SD₁₆	—	2	2	no	—
630	C₂×D₈	—	2	2	no	—
631	C₂×D₈	—	2	2	no	—
632	C₂×D₈	—	2	2	no	—
633	C₂×D₈	—	2	2	no	—
634	C₂×D₈	—	2	2	no	—
635	C₂×D₈	—	2	2	no	—
636	C₂×D₈	—	2	2	no	—
637	C₂×D₈	—	2	2	no	—
638	C₂×D₈	—	2	2	no	—
639	C₂×D₈	—	2	2	no	—
640	C₂×D₈	—	2	2	no	—
641	C₂×D₈	—	2	2	no	—
642	C₂×D₈	—	2	2	no	—
643	C₂×M₁₆	—	4	4	no	—
644	C₂×M₁₆	C₂×D₄	1	2	yes	—
645	C₂×M₁₆	C₂×D₄	1	2	yes	—
646	C₂×M₁₆	C₂×D₄	1	2	yes	—
647	C₂×M₁₆	C₂×D₄	1	2	yes	—
648	C₂×M₁₆	C₂×D₄	1	2	yes	—
649	C₂×M₁₆	C₂×D₄	1	2	yes	—
650	C₂×M₁₆	C₂×D₄	1	2	yes	—
651	C₂×M₁₆	C₂×D₄	1	2	yes	—
652	C₂²×C₈	C₂×D₄	1	2	yes	—
653	C₂²×C₈	C₂×D₄	1	2	yes	—
654	C₄⋊Q₈	—	2	1	no	—
655	C₄⋊Q₈	—	2	1	no	—
656	C₄⋊Q₈	—	2	1	no	—
657	C₄⋊Q₈	—	2	1	no	—
658	C₄⋊Q₈	—	2	1	no	—
659	C₄⋊Q₈	—	2	1	no	—
660	C₄⋊Q₈	C₂⁴	1	1	yes	characteristic
661	C₄⋊Q₈	C₂⁴	1	1	yes	characteristic
662	C₄⋊Q₈	C₂⁴	1	1	yes	characteristic
663	C₄⋊Q₈	C₂⁴	1	1	yes	characteristic
664	C₄⋊Q₈	C₂⁴	1	1	yes	characteristic
665	C₄⋊Q₈	C₂⁴	1	1	yes	characteristic
666	C₄⋊Q₈	C₂⁴	1	1	yes	characteristic
667	C₄⋊Q₈	C₂⁴	1	1	yes	characteristic
668	C₄⋊Q₈	C₂⁴	1	1	yes	characteristic
669	C₄⋊Q₈	C₂⁴	1	1	yes	characteristic
670	#127	—	2	1	no	—
671	#127	—	2	1	no	—
672	#127	—	2	1	no	—
673	#127	—	2	1	no	—
674	#127	—	2	1	no	—
675	#127	—	2	1	no	—
676	#127	C₂⁴	1	1	yes	characteristic
677	#127	C₂⁴	1	1	yes	characteristic
678	#127	C₂⁴	1	1	yes	characteristic
679	#127	C₂⁴	1	1	yes	characteristic
680	#127	C₂⁴	1	1	yes	characteristic
681	#127	C₂⁴	1	1	yes	characteristic
682	#126	—	4	1	no	—
683	#126	—	4	1	no	—
684	#126	—	4	1	no	—
685	#126	—	4	1	no	—
686	#125	—	2	1	no	—
687	#125	—	2	1	no	—
688	#125	—	2	1	no	—
689	#125	—	2	1	no	—
690	#125	—	2	1	no	—
691	#125	—	2	1	no	—
692	#124	—	2	1	no	—
693	#124	—	2	1	no	—
694	#124	—	2	1	no	—
695	#124	—	2	1	no	—
696	#124	—	2	1	no	—
697	#124	—	2	1	no	—
698	#124	—	2	1	no	—
699	#124	—	2	1	no	—
700	#124	—	2	1	no	—
701	#124	—	2	1	no	—
702	#124	—	2	1	no	—
703	#124	—	2	1	no	—
704	#124	—	2	1	no	—
705	#124	—	2	1	no	—
706	#124	—	4	1	no	—
707	#124	—	4	1	no	—
708	#124	—	4	1	no	—
709	#124	—	4	1	no	—
710	#123	—	4	1	no	—
711	#123	—	4	1	no	—
712	#123	—	4	1	no	—
713	#123	—	4	1	no	—
714	#123	—	4	1	no	—
715	#123	—	4	1	no	—
716	C₂²⋊Q₈	—	2	1	no	—
717	C₂²⋊Q₈	—	2	1	no	—
718	C₂²⋊Q₈	—	2	1	no	—
719	C₂²⋊Q₈	—	2	1	no	—
720	C₂²⋊Q₈	—	2	1	no	—
721	C₂²⋊Q₈	—	2	1	no	—
722	C₂²⋊Q₈	—	2	1	no	—
723	C₂²⋊Q₈	—	2	1	no	—
724	C₂²⋊Q₈	—	2	1	no	—
725	C₂²⋊Q₈	—	2	1	no	—
726	C₂²⋊Q₈	—	2	1	no	—
727	C₂²⋊Q₈	—	2	1	no	—
728	#121	—	2	1	no	—
729	#121	—	2	1	no	—
730	#121	—	2	1	no	—
731	#121	—	2	1	no	—
732	#121	—	2	1	no	—
733	#121	—	2	1	no	—
734	#121	—	2	1	no	—
735	#121	—	2	1	no	—
736	#121	—	2	1	no	—
737	#121	—	2	1	no	—
738	#121	—	2	1	no	—
739	#121	—	2	1	no	—
740	#121	—	2	1	no	—
741	#121	—	2	1	no	—
742	#121	—	2	1	no	—
743	#121	—	2	1	no	—
744	#121	—	2	1	no	—
745	#121	—	2	1	no	—
746	#121	—	2	1	no	—
747	#121	—	2	1	no	—
748	#121	—	2	1	no	—
749	#121	—	2	1	no	—
750	#121	—	2	1	no	—
751	#121	—	2	1	no	—
752	#121	—	2	1	no	—
753	#121	—	2	1	no	—
754	#121	—	2	1	no	—
755	#121	—	2	1	no	—
756	#121	—	4	1	no	—
757	#121	—	4	1	no	—
758	#121	—	4	1	no	—
759	#121	—	4	1	no	—
760	#121	—	4	1	no	—
761	#121	—	4	1	no	—
762	#121	—	4	1	no	—
763	#121	—	4	1	no	—
764	#120	—	4	1	no	—
765	#120	—	4	1	no	—
766	C₄×Q₈	—	2	1	no	—
767	C₄×Q₈	—	2	1	no	—
768	C₄×Q₈	—	2	1	no	—
769	C₄×Q₈	—	2	1	no	—
770	C₄×Q₈	—	2	1	no	—
771	C₄×Q₈	—	2	1	no	—
772	C₄×Q₈	—	2	1	no	—
773	C₄×Q₈	—	2	1	no	—
774	C₄×Q₈	—	2	1	no	—
775	C₄×Q₈	—	2	1	no	—
776	C₄×Q₈	—	2	1	no	—
777	C₄×Q₈	—	2	1	no	—
778	C₄×D₄	—	2	1	no	—
779	C₄×D₄	—	2	1	no	—
780	C₄×D₄	—	2	1	no	—
781	C₄×D₄	—	2	1	no	—
782	C₄×D₄	—	2	1	no	—
783	C₄×D₄	—	2	1	no	—
784	C₄×D₄	—	2	1	no	—
785	C₄×D₄	—	2	1	no	—
786	C₄×D₄	—	2	1	no	—
787	C₄×D₄	—	2	1	no	—
788	C₄×D₄	—	2	1	no	—
789	C₄×D₄	—	2	1	no	—
790	C₄×D₄	—	2	1	no	—
791	C₄×D₄	—	2	1	no	—
792	C₄×D₄	—	2	1	no	—
793	C₄×D₄	—	2	1	no	—
794	C₄×D₄	—	2	1	no	—
795	C₄×D₄	—	2	1	no	—
796	C₄×D₄	—	2	1	no	—
797	C₄×D₄	—	2	1	no	—
798	C₄×D₄	—	2	1	no	—
799	C₄×D₄	—	2	1	no	—
800	C₄×D₄	—	2	1	no	—
801	C₄×D₄	—	2	1	no	—
802	C₄×D₄	—	2	1	no	—
803	C₄×D₄	—	2	1	no	—
804	C₄×D₄	—	2	1	no	—
805	C₄×D₄	—	2	1	no	—
806	C₄×D₄	—	4	1	no	—
807	C₄×D₄	—	4	1	no	—
808	C₄×D₄	—	4	1	no	—
809	C₄×D₄	—	4	1	no	—
810	C₄×D₄	—	4	1	no	—
811	C₄×D₄	—	4	1	no	—
812	C₄×D₄	—	4	1	no	—
813	C₄×D₄	—	4	1	no	—
814	C₄×D₄	—	4	1	no	—
815	C₄×D₄	—	4	1	no	—
816	C₄×D₄	—	4	1	no	—
817	C₄×D₄	—	4	1	no	—
818	C₄×D₄	—	4	1	no	—
819	C₄×D₄	—	4	1	no	—
820	C₄×D₄	—	4	1	no	—
821	C₄×D₄	—	4	1	no	—
822	C₄×D₄	—	4	1	no	—
823	C₄×D₄	—	4	1	no	—
824	C₄×D₄	—	4	1	no	—
825	C₄×D₄	—	4	1	no	—
826	#117	—	2	1	no	—
827	#117	—	2	1	no	—
828	#117	—	2	1	no	—
829	#117	—	2	1	no	—
830	#117	—	2	1	no	—
831	#117	—	2	1	no	—
832	#117	—	4	1	no	—
833	#117	—	4	1	no	—
834	#117	—	4	1	no	—
835	#117	—	4	1	no	—
836	#117	—	4	1	no	—
837	#117	—	4	1	no	—
838	C₂×C₄⋊C₄	—	2	1	no	—
839	C₂×C₄⋊C₄	—	2	1	no	—
840	C₂×C₄⋊C₄	—	2	1	no	—
841	C₂×C₄⋊C₄	—	2	1	no	—
842	C₂×C₂²⋊C₄	—	4	1	no	—
843	C₂×C₂²⋊C₄	—	4	1	no	—
844	C₂×C₂²⋊C₄	—	4	1	no	—
845	C₂×C₂²⋊C₄	—	4	1	no	—
846	C₂×C₄²	—	4	1	no	—
847	C₂×C₄²	—	4	1	no	—
848	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
849	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
850	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
851	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
852	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
853	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
854	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
855	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
856	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
857	C₂×C₄²	C₂⁴	1	1	yes	characteristic
858	C₂×C₄²	C₂⁴	1	1	yes	characteristic
859	C₂×C₄²	C₂⁴	1	1	yes	characteristic
860	#107	—	2	2	no	—
861	#107	—	2	2	no	—
862	#107	—	2	2	no	—
863	#107	—	2	2	no	—
864	#107	—	2	2	no	—
865	#107	—	2	2	no	—
866	#107	—	2	2	no	—
867	#107	—	2	2	no	—
868	#106	—	2	2	no	—
869	#106	—	2	2	no	—
870	#106	—	2	2	no	—
871	#106	—	2	2	no	—
872	#106	—	2	2	no	—
873	#106	—	2	2	no	—
874	#106	—	2	2	no	—
875	#106	—	2	2	no	—
876	C₄⋊C₈	C₂×D₄	1	2	yes	—
877	C₄⋊C₈	C₂×D₄	1	2	yes	—
878	C₄⋊C₈	C₂×D₄	1	2	yes	—
879	C₄⋊C₈	C₂×D₄	1	2	yes	—
880	C₄⋊C₈	C₂×D₄	1	2	yes	—
881	C₄⋊C₈	C₂×D₄	1	2	yes	—
882	C₄⋊C₈	C₂×D₄	1	2	yes	—
883	C₄⋊C₈	C₂×D₄	1	2	yes	—
884	#103	—	2	2	no	—
885	#103	—	2	2	no	—
886	#103	—	2	2	no	—
887	#103	—	2	2	no	—
888	#103	—	2	2	no	—
889	#103	—	2	2	no	—
890	#103	—	2	2	no	—
891	#103	—	2	2	no	—
892	#103	—	2	2	no	—
893	#103	—	2	2	no	—
894	#103	—	2	2	no	—
895	#103	—	2	2	no	—
896	#103	—	2	2	no	—
897	#103	—	2	2	no	—
898	#103	—	2	2	no	—
899	#103	—	2	2	no	—
900	#103	—	2	2	no	—
901	#103	—	2	2	no	—
902	#102	—	2	2	no	—
903	#102	—	2	2	no	—
904	#102	—	2	2	no	—
905	#102	—	2	2	no	—
906	#102	—	2	2	no	—
907	#102	—	2	2	no	—
908	#102	—	2	2	no	—
909	#102	—	2	2	no	—
910	#102	—	2	2	no	—
911	#102	—	2	2	no	—
912	#102	—	2	2	no	—
913	#102	—	2	2	no	—
914	#102	—	2	2	no	—
915	#102	—	2	2	no	—
916	#102	—	2	2	no	—
917	#102	—	2	2	no	—
918	#102	—	2	2	no	—
919	#102	—	2	2	no	—
920	#102	—	2	2	no	—
921	#102	—	2	2	no	—
922	#102	—	2	2	no	—
923	#102	—	2	2	no	—
924	#102	—	2	2	no	—
925	#102	—	2	2	no	—
926	#102	—	2	2	no	—
927	#102	—	2	2	no	—
928	#102	—	2	2	no	—
929	#102	—	2	2	no	—
930	#102	—	2	2	no	—
931	#102	—	2	2	no	—
932	C₂²⋊C₈	C₂×D₄	1	2	yes	—
933	C₂²⋊C₈	C₂×D₄	1	2	yes	—
934	C₂²⋊C₈	C₂×D₄	1	2	yes	—
935	C₂²⋊C₈	C₂×D₄	1	2	yes	—
936	C₂²⋊C₈	C₂×D₄	1	2	yes	—
937	C₂²⋊C₈	C₂×D₄	1	2	yes	—
938	C₂²⋊C₈	C₂×D₄	1	2	yes	—
939	C₂²⋊C₈	C₂×D₄	1	2	yes	—
940	#97	C₂×D₄	1	2	yes	—
941	#97	C₂×D₄	1	2	yes	—
942	#97	C₂×D₄	1	2	yes	—
943	#97	C₂×D₄	1	2	yes	—
944	#97	C₂×D₄	1	2	yes	—
945	#97	C₂×D₄	1	2	yes	—
946	#97	C₂×D₄	1	2	yes	—
947	#97	C₂×D₄	1	2	yes	—
948	C₄×C₈	C₂×D₄	1	2	yes	—
949	C₄×C₈	C₂×D₄	1	2	yes	—
950	C₄×C₈	C₂⁴	1	1	yes	characteristic
951	C₄×C₈	C₂⁴	1	1	yes	characteristic
952	C₄×C₈	C₂⁴	1	1	yes	characteristic
953	C₄×C₈	C₂⁴	1	1	yes	characteristic
954	C₄×C₈	C₂⁴	1	1	yes	characteristic
955	C₄×C₈	C₂⁴	1	1	yes	characteristic
956	C₄×C₈	C₂⁴	1	1	yes	characteristic
957	C₄×C₈	C₂⁴	1	1	yes	characteristic
958	C₄×C₈	C₂⁴	1	1	yes	characteristic
959	C₄×C₈	C₂⁴	1	1	yes	characteristic
960	C₄×C₈	C₂⁴	1	1	yes	characteristic
961	C₄×C₈	C₂⁴	1	1	yes	characteristic
962	C₂⁴	—	4	1	no	—
963	C₂⁴	—	4	1	no	—
964	C₂⁴	#127	1	1	yes	characteristic
965	#41	—	4	4	no	—
966	#41	—	4	4	no	—
967	#41	—	4	4	no	—
968	#41	—	4	4	no	—
969	#41	—	4	4	no	—
970	#41	—	8	2	no	—
971	#41	—	8	2	no	—
972	#41	—	8	2	no	—
973	#41	—	8	2	no	—
974	#41	—	8	2	no	—
975	#41	—	8	2	no	—
976	#41	—	8	2	no	—
977	#41	—	8	2	no	—
978	#41	—	8	2	no	—
979	#41	—	8	4	no	—
980	#41	—	8	4	no	—
981	#41	—	8	4	no	—
982	#41	—	8	4	no	—
983	C₂×Q₈	—	2	1	no	—
984	C₂×Q₈	—	2	1	no	—
985	C₂×Q₈	—	2	1	no	—
986	C₂×Q₈	—	2	1	no	—
987	C₂×Q₈	—	2	1	no	—
988	C₂×Q₈	—	2	1	no	—
989	C₂×Q₈	—	2	1	no	—
990	C₂×Q₈	—	2	1	no	—
991	C₂×Q₈	—	2	1	no	—
992	C₂×Q₈	—	2	1	no	—
993	C₂×Q₈	—	4	4	no	—
994	C₂×Q₈	—	4	1	no	—
995	C₂×Q₈	—	4	1	no	—
996	C₂×Q₈	—	8	2	no	—
997	C₂×D₄	—	2	1	no	—
998	C₂×D₄	—	2	1	no	—
999	C₂×D₄	—	2	1	no	—
1000	C₂×D₄	—	2	1	no	—
1001	C₂×D₄	—	2	1	no	—
1002	C₂×D₄	—	2	1	no	—
1003	C₂×D₄	—	2	1	no	—
1004	C₂×D₄	—	2	1	no	—
1005	C₂×D₄	—	2	1	no	—
1006	C₂×D₄	—	2	1	no	—
1007	C₂×D₄	—	2	1	no	—
1008	C₂×D₄	—	2	1	no	—
1009	C₂×D₄	—	2	1	no	—
1010	C₂×D₄	—	2	1	no	—
1011	C₂×D₄	—	2	1	no	—
1012	C₂×D₄	—	2	1	no	—
1013	C₂×D₄	—	2	1	no	—
1014	C₂×D₄	—	2	1	no	—
1015	C₂×D₄	—	4	4	no	—
1016	C₂×D₄	—	4	4	no	—
1017	C₂×D₄	—	4	4	no	—
1018	C₂×D₄	—	4	4	no	—
1019	C₂×D₄	—	4	1	no	—
1020	C₂×D₄	—	4	1	no	—
1021	C₂×D₄	—	4	1	no	—
1022	C₂×D₄	—	4	1	no	—
1023	C₂×D₄	—	4	1	no	—
1024	C₂×D₄	—	4	1	no	—
1025	C₂×D₄	—	4	1	no	—
1026	C₂×D₄	—	4	1	no	—
1027	C₂×D₄	—	4	1	no	—
1028	C₂×D₄	—	4	1	no	—
1029	C₂×D₄	—	4	1	no	—
1030	C₂×D₄	—	4	1	no	—
1031	C₂×D₄	—	4	1	no	—
1032	C₂×D₄	—	4	1	no	—
1033	C₂×D₄	—	4	1	no	—
1034	C₂×D₄	—	4	1	no	—
1035	C₂×D₄	—	4	1	no	—
1036	C₂×D₄	—	4	1	no	—
1037	C₂×D₄	—	4	1	no	—
1038	C₂×D₄	—	4	1	no	—
1039	C₂×D₄	—	8	2	no	—
1040	C₂×D₄	—	8	2	no	—
1041	C₂×D₄	—	8	4	no	—
1042	C₂×D₄	—	8	4	no	—
1043	C₂²×C₄	—	4	2	no	—
1044	C₂²×C₄	—	4	2	no	—
1045	C₂²×C₄	—	4	2	no	—
1046	C₂²×C₄	—	4	1	no	—
1047	C₂²×C₄	—	4	1	no	—
1048	C₂²×C₄	—	4	1	no	—
1049	C₂²×C₄	—	4	1	no	—
1050	C₂²×C₄	—	4	1	no	—
1051	C₂²×C₄	—	4	1	no	—
1052	C₂²×C₄	—	4	1	no	—
1053	C₂²×C₄	—	4	1	no	—
1054	C₂²×C₄	—	4	1	no	—
1055	C₂²×C₄	—	4	1	no	—
1056	C₂²×C₄	—	4	1	no	—
1057	C₂²×C₄	—	4	1	no	—
1058	C₂²×C₄	—	4	1	no	—
1059	C₂²×C₄	—	4	1	no	—
1060	C₂²×C₄	—	4	1	no	—
1061	C₂²×C₄	—	4	1	no	—
1062	C₂²×C₄	—	8	4	no	—
1063	C₂²×C₄	—	8	4	no	—
1064	C₂²×C₄	#127	1	1	yes	characteristic
1065	C₂²×C₄	#127	1	1	yes	characteristic
1066	C₂²×C₄	#127	1	1	yes	characteristic
1067	C₂²×C₄	#127	1	1	yes	characteristic
1068	C₂²×C₄	#127	1	1	yes	characteristic
1069	C₂²×C₄	#127	1	1	yes	characteristic
1070	C₂²×C₄	#127	1	1	yes	characteristic
1071	C₂²×C₄	#127	1	1	yes	characteristic
1072	C₂²×C₄	#127	1	1	yes	characteristic
1073	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1074	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1075	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1076	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1077	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1078	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1079	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1080	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1081	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1082	Q₁₆	—	8	2	no	—
1083	Q₁₆	—	8	2	no	—
1084	Q₁₆	—	8	2	no	—
1085	SD₁₆	—	4	4	no	—
1086	SD₁₆	—	4	4	no	—
1087	SD₁₆	—	4	4	no	—
1088	SD₁₆	—	4	4	no	—
1089	SD₁₆	—	8	2	no	—
1090	SD₁₆	—	8	2	no	—
1091	SD₁₆	—	8	2	no	—
1092	SD₁₆	—	8	2	no	—
1093	SD₁₆	—	8	2	no	—
1094	SD₁₆	—	8	2	no	—
1095	SD₁₆	—	8	2	no	—
1096	SD₁₆	—	8	2	no	—
1097	SD₁₆	—	8	2	no	—
1098	SD₁₆	—	8	2	no	—
1099	SD₁₆	—	8	2	no	—
1100	SD₁₆	—	8	2	no	—
1101	D₈	—	4	4	no	—
1102	D₈	—	4	4	no	—
1103	D₈	—	4	4	no	—
1104	D₈	—	4	4	no	—
1105	D₈	—	8	2	no	—
1106	D₈	—	8	2	no	—
1107	D₈	—	8	2	no	—
1108	D₈	—	8	2	no	—
1109	D₈	—	8	2	no	—
1110	D₈	—	8	2	no	—
1111	D₈	—	8	2	no	—
1112	D₈	—	8	2	no	—
1113	D₈	—	8	2	no	—
1114	M₁₆	—	2	4	no	—
1115	M₁₆	—	2	4	no	—
1116	M₁₆	—	4	2	no	—
1117	M₁₆	—	4	2	no	—
1118	M₁₆	—	4	2	no	—
1119	M₁₆	—	4	2	no	—
1120	M₁₆	—	4	2	no	—
1121	M₁₆	—	4	2	no	—
1122	C₂×C₈	—	2	4	no	—
1123	C₂×C₈	—	4	2	no	—
1124	C₂×C₈	C₂²×D₄	1	2	yes	—
1125	C₂×C₈	C₂²×D₄	1	2	yes	—
1126	C₂×C₈	C₂²×D₄	1	2	yes	—
1127	C₂×C₈	C₂²×D₄	1	2	yes	—
1128	C₂×C₈	C₂²×D₄	1	2	yes	—
1129	C₂×C₈	C₂²×D₄	1	2	yes	—
1130	C₂×C₈	C₂²×D₄	1	2	yes	—
1131	C₂×C₈	C₂²×D₄	1	2	yes	—
1132	C₂×C₈	C₂²×D₄	1	2	yes	—
1133	C₂×C₈	C₂²×D₄	1	2	yes	—
1134	C₂×C₈	C₂²×D₄	1	2	yes	—
1135	C₂×C₈	C₂²×D₄	1	2	yes	—
1136	C₄⋊C₄	—	2	1	no	—
1137	C₄⋊C₄	—	2	1	no	—
1138	C₄⋊C₄	—	2	1	no	—
1139	C₄⋊C₄	—	2	1	no	—
1140	C₄⋊C₄	—	2	1	no	—
1141	C₄⋊C₄	—	2	1	no	—
1142	C₄⋊C₄	—	2	1	no	—
1143	C₄⋊C₄	—	2	1	no	—
1144	C₄⋊C₄	—	2	1	no	—
1145	C₄⋊C₄	—	2	1	no	—
1146	C₄⋊C₄	—	2	1	no	—
1147	C₄⋊C₄	—	2	1	no	—
1148	C₄⋊C₄	—	2	1	no	—
1149	C₄⋊C₄	—	2	1	no	—
1150	C₄⋊C₄	—	2	1	no	—
1151	C₄⋊C₄	—	2	1	no	—
1152	C₄⋊C₄	—	2	1	no	—
1153	C₄⋊C₄	—	2	1	no	—
1154	C₄⋊C₄	—	2	1	no	—
1155	C₄⋊C₄	—	2	1	no	—
1156	C₄⋊C₄	—	4	1	no	—
1157	C₄⋊C₄	—	4	1	no	—
1158	C₄⋊C₄	—	4	1	no	—
1159	C₄⋊C₄	—	4	1	no	—
1160	C₄⋊C₄	—	4	1	no	—
1161	C₄⋊C₄	—	4	1	no	—
1162	C₄⋊C₄	—	4	1	no	—
1163	C₄⋊C₄	—	4	1	no	—
1164	C₄⋊C₄	—	4	1	no	—
1165	C₄⋊C₄	—	4	1	no	—
1166	C₄⋊C₄	—	4	1	no	—
1167	C₄⋊C₄	—	4	1	no	—
1168	C₄⋊C₄	—	4	1	no	—
1169	C₄⋊C₄	—	4	1	no	—
1170	C₄⋊C₄	—	4	1	no	—
1171	C₄⋊C₄	—	4	1	no	—
1172	C₂²⋊C₄	—	4	1	no	—
1173	C₂²⋊C₄	—	4	1	no	—
1174	C₂²⋊C₄	—	4	1	no	—
1175	C₂²⋊C₄	—	4	1	no	—
1176	C₂²⋊C₄	—	4	1	no	—
1177	C₂²⋊C₄	—	4	1	no	—
1178	C₂²⋊C₄	—	4	1	no	—
1179	C₂²⋊C₄	—	4	1	no	—
1180	C₂²⋊C₄	—	4	1	no	—
1181	C₂²⋊C₄	—	4	1	no	—
1182	C₂²⋊C₄	—	4	1	no	—
1183	C₂²⋊C₄	—	4	1	no	—
1184	C₂²⋊C₄	—	4	1	no	—
1185	C₂²⋊C₄	—	4	1	no	—
1186	C₂²⋊C₄	—	4	1	no	—
1187	C₂²⋊C₄	—	4	1	no	—
1188	C₂²⋊C₄	—	4	1	no	—
1189	C₂²⋊C₄	—	4	1	no	—
1190	C₂²⋊C₄	—	4	1	no	—
1191	C₂²⋊C₄	—	4	1	no	—
1192	C₂²⋊C₄	—	4	1	no	—
1193	C₂²⋊C₄	—	4	1	no	—
1194	C₂²⋊C₄	—	4	1	no	—
1195	C₂²⋊C₄	—	4	1	no	—
1196	C₂²⋊C₄	—	4	1	no	—
1197	C₂²⋊C₄	—	4	1	no	—
1198	C₂²⋊C₄	—	4	1	no	—
1199	C₂²⋊C₄	—	4	1	no	—
1200	C₂²⋊C₄	—	4	1	no	—
1201	C₂²⋊C₄	—	4	1	no	—
1202	C₂²⋊C₄	—	4	1	no	—
1203	C₂²⋊C₄	—	4	1	no	—
1204	C₂²⋊C₄	—	4	1	no	—
1205	C₂²⋊C₄	—	4	1	no	—
1206	C₄²	—	4	1	no	—
1207	C₄²	—	4	1	no	—
1208	C₄²	—	4	1	no	—
1209	C₄²	—	4	1	no	—
1210	C₄²	—	4	1	no	—
1211	C₄²	—	4	1	no	—
1212	C₄²	#127	1	1	yes	characteristic
1213	C₄²	#127	1	1	yes	characteristic
1214	C₄²	#127	1	1	yes	characteristic
1215	C₄²	#127	1	1	yes	characteristic
1216	C₄²	#127	1	1	yes	characteristic
1217	C₄²	#127	1	1	yes	characteristic
1218	C₄²	C₂²×D₄	1	1	yes	characteristic
1219	C₄²	C₂²×D₄	1	1	yes	characteristic
1220	C₄²	C₂²×D₄	1	1	yes	characteristic
1221	C₄²	C₂²×D₄	1	1	yes	characteristic
1222	C₄²	C₂²×D₄	1	1	yes	characteristic
1223	C₄²	C₂²×D₄	1	1	yes	characteristic
1224	C₄²	C₂²×D₄	1	1	yes	characteristic
1225	C₄²	C₂²×D₄	1	1	yes	characteristic
1226	C₄²	C₂²×D₄	1	1	yes	characteristic
1227	C₄²	C₂⁵	1	1	yes	characteristic
1228	C₂³	—	4	1	no	—
1229	C₂³	—	4	1	no	—
1230	C₂³	—	4	1	no	—
1231	C₂³	—	4	1	no	—
1232	C₂³	—	4	1	no	—
1233	C₂³	—	4	1	no	—
1234	C₂³	—	4	1	no	—
1235	C₂³	—	4	1	no	—
1236	C₂³	—	4	1	no	—
1237	C₂³	—	8	2	no	—
1238	C₂³	—	8	2	no	—
1239	C₂³	—	8	2	no	—
1240	C₂³	—	8	2	no	—
1241	C₂³	—	8	2	no	—
1242	C₂³	—	8	2	no	—
1243	C₂³	C₂×#127	1	1	yes	characteristic
1244	C₂³	C₂×#127	1	1	yes	characteristic
1245	C₂³	C₂×#127	1	1	yes	characteristic
1246	Q₈	—	4	2	no	—
1247	Q₈	—	4	2	no	—
1248	Q₈	—	4	2	no	—
1249	Q₈	—	4	2	no	—
1250	Q₈	—	4	2	no	—
1251	Q₈	—	4	2	no	—
1252	Q₈	—	4	2	no	—
1253	Q₈	—	4	2	no	—
1254	Q₈	—	4	2	no	—
1255	Q₈	—	4	2	no	—
1256	Q₈	—	8	2	no	—
1257	Q₈	—	8	2	no	—
1258	D₄	—	4	2	no	—
1259	D₄	—	4	2	no	—
1260	D₄	—	4	2	no	—
1261	D₄	—	4	2	no	—
1262	D₄	—	4	2	no	—
1263	D₄	—	4	2	no	—
1264	D₄	—	4	2	no	—
1265	D₄	—	4	2	no	—
1266	D₄	—	4	2	no	—
1267	D₄	—	4	2	no	—
1268	D₄	—	4	2	no	—
1269	D₄	—	4	2	no	—
1270	D₄	—	4	2	no	—
1271	D₄	—	4	2	no	—
1272	D₄	—	4	2	no	—
1273	D₄	—	4	2	no	—
1274	D₄	—	4	2	no	—
1275	D₄	—	4	2	no	—
1276	D₄	—	8	2	no	—
1277	D₄	—	8	2	no	—
1278	D₄	—	8	2	no	—
1279	D₄	—	8	2	no	—
1280	D₄	—	8	2	no	—
1281	D₄	—	8	2	no	—
1282	D₄	—	8	2	no	—
1283	D₄	—	8	2	no	—
1284	D₄	—	8	2	no	—
1285	D₄	—	8	2	no	—
1286	D₄	—	8	2	no	—
1287	D₄	—	8	2	no	—
1288	D₄	—	8	2	no	—
1289	D₄	—	8	2	no	—
1290	D₄	—	8	2	no	—
1291	D₄	—	8	2	no	—
1292	D₄	—	8	2	no	—
1293	D₄	—	8	2	no	—
1294	D₄	—	8	2	no	—
1295	D₄	—	8	2	no	—
1296	C₂×C₄	—	2	2	no	—
1297	C₂×C₄	—	2	2	no	—
1298	C₂×C₄	—	2	2	no	—
1299	C₂×C₄	—	2	2	no	—
1300	C₂×C₄	—	2	2	no	—
1301	C₂×C₄	—	2	2	no	—
1302	C₂×C₄	—	2	2	no	—
1303	C₂×C₄	—	2	2	no	—
1304	C₂×C₄	—	2	2	no	—
1305	C₂×C₄	—	4	1	no	—
1306	C₂×C₄	—	4	1	no	—
1307	C₂×C₄	—	4	1	no	—
1308	C₂×C₄	—	4	1	no	—
1309	C₂×C₄	—	4	1	no	—
1310	C₂×C₄	—	4	1	no	—
1311	C₂×C₄	—	4	1	no	—
1312	C₂×C₄	—	4	1	no	—
1313	C₂×C₄	—	4	1	no	—
1314	C₂×C₄	—	4	1	no	—
1315	C₂×C₄	—	4	1	no	—
1316	C₂×C₄	—	4	1	no	—
1317	C₂×C₄	—	4	1	no	—
1318	C₂×C₄	—	4	1	no	—
1319	C₂×C₄	—	4	1	no	—
1320	C₂×C₄	—	4	1	no	—
1321	C₂×C₄	—	4	1	no	—
1322	C₂×C₄	—	4	1	no	—
1323	C₂×C₄	—	4	1	no	—
1324	C₂×C₄	—	8	2	no	—
1325	C₂×C₄	—	8	2	no	—
1326	C₂×C₄	—	8	2	no	—
1327	C₂×C₄	—	8	2	no	—
1328	C₂×C₄	—	8	2	no	—
1329	C₂×C₄	—	8	2	no	—
1330	C₂×C₄	—	8	2	no	—
1331	C₂×C₄	—	8	2	no	—
1332	C₂×C₄	—	8	2	no	—
1333	C₂×C₄	—	8	2	no	—
1334	C₂×C₄	—	8	2	no	—
1335	C₂×C₄	—	8	2	no	—
1336	C₂×C₄	—	8	2	no	—
1337	C₂×C₄	—	8	2	no	—
1338	C₂×C₄	—	8	2	no	—
1339	C₂×C₄	—	8	2	no	—
1340	C₂×C₄	C₂×#127	1	1	yes	characteristic
1341	C₂×C₄	C₂×#127	1	1	yes	characteristic
1342	C₂×C₄	C₂×#127	1	1	yes	characteristic
1343	C₂×C₄	C₂×#127	1	1	yes	characteristic
1344	C₂×C₄	C₂×#127	1	1	yes	characteristic
1345	C₂×C₄	C₂×#127	1	1	yes	characteristic
1346	C₂×C₄	C₂×#127	1	1	yes	characteristic
1347	C₂×C₄	C₂×#127	1	1	yes	characteristic
1348	C₂×C₄	C₂×#127	1	1	yes	characteristic
1349	C₂×C₄	C₂³×D₄	1	1	yes	characteristic
1350	C₂×C₄	C₂³×D₄	1	1	yes	characteristic
1351	C₂×C₄	C₂³×D₄	1	1	yes	characteristic
1352	C₈	—	2	2	no	—
1353	C₈	—	2	2	no	—
1354	C₈	—	2	2	no	—
1355	C₈	—	2	2	no	—
1356	C₈	—	2	2	no	—
1357	C₈	—	2	2	no	—
1358	C₈	—	2	2	no	—
1359	C₈	—	2	2	no	—
1360	C₈	—	2	2	no	—
1361	C₈	—	2	2	no	—
1362	C₈	—	2	2	no	—
1363	C₈	#575	1	4	yes	—
1364	C₂²	—	2	1	no	—
1365	C₂²	—	2	1	no	—
1366	C₂²	—	2	1	no	—
1367	C₂²	—	2	1	no	—
1368	C₂²	—	2	1	no	—
1369	C₂²	—	2	1	no	—
1370	C₂²	—	2	1	no	—
1371	C₂²	—	2	1	no	—
1372	C₂²	—	2	1	no	—
1373	C₂²	—	8	2	no	—
1374	C₂²	—	8	1	no	—
1375	C₂²	—	8	1	no	—
1376	C₂²	—	8	1	no	—
1377	C₂²	—	8	1	no	—
1378	C₂²	—	8	1	no	—
1379	C₂²	—	8	1	no	—
1380	C₂²	—	8	1	no	—
1381	C₂²	—	8	1	no	—
1382	C₂²	—	8	1	no	—
1383	C₂²	—	8	1	no	—
1384	C₂²	—	8	1	no	—
1385	C₂²	—	8	1	no	—
1386	C₂²	—	8	1	no	—
1387	C₂²	—	8	1	no	—
1388	C₂²	—	8	1	no	—
1389	C₂²	—	8	1	no	—
1390	C₂²	—	8	1	no	—
1391	C₂²	—	8	1	no	—
1392	C₂²	—	16	4	no	—
1393	C₂²	—	16	4	no	—
1394	C₂²	C₂²×#127	1	1	yes	characteristic
1395	C₄	—	2	1	no	—
1396	C₄	—	2	1	no	—
1397	C₄	—	2	1	no	—
1398	C₄	—	2	1	no	—
1399	C₄	—	2	1	no	—
1400	C₄	—	2	1	no	—
1401	C₄	—	2	1	no	—
1402	C₄	—	2	1	no	—
1403	C₄	—	2	1	no	—
1404	C₄	—	8	1	no	—
1405	C₄	—	8	1	no	—
1406	C₄	—	8	1	no	—
1407	C₄	—	8	1	no	—
1408	C₄	—	8	1	no	—
1409	C₄	—	8	1	no	—
1410	C₄	—	8	1	no	—
1411	C₄	—	8	1	no	—
1412	C₄	—	8	1	no	—
1413	C₄	—	8	1	no	—
1414	C₄	C₂×#575	1	2	yes	—
1415	C₄	#3585	1	2	yes	—
1416	C₄	#3585	1	2	yes	—
1417	C₂	—	4	1	no	—
1418	C₂	—	4	1	no	—
1419	C₂	—	4	1	no	—
1420	C₂	—	16	1	no	—
1421	C₂	—	16	1	no	—
1422	C₂	—	16	1	no	—
1423	C₂	—	16	1	no	—
1424	C₂	—	16	1	no	—
1425	C₂	—	16	1	no	—
1426	C₂	#60639	1	1	yes	characteristic
1427	C₂	#60644	1	1	yes	characteristic
1428	C₂	#60644	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²	C₂²×#127
commutator, Frattini, cosocle	C₄²	C₂⁵
LCS	G ▷ C₄² ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂² ◁ C₂²×C₄² ◁ G
LECS	G ▷ C₄² ▷ C₂² ▷ C₁

Complements

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

N	H ≅ G/N	type
1. #60972	C₂	semidirect
2. #60965	C₂	semidirect
3. #60803	C₂	semidirect
4. #60801	C₂	semidirect
5. #60700	C₂	semidirect
6. #60700	C₂	semidirect
7. #19754	C₂	semidirect
8. #19752	C₂	semidirect
9. #19750	C₂	semidirect
10. #19749	C₂	semidirect
11. #19748	C₂	semidirect
12. #19747	C₂	semidirect
13. #19747	C₂	semidirect
14. #19745	C₂	semidirect
15. #19729	C₂	semidirect
16. #19727	C₂	semidirect
17. #19726	C₂	semidirect
18. #19722	C₂	semidirect
19. #19719	C₂	semidirect
20. #19718	C₂	semidirect
21. #19715	C₂	semidirect
22. #19714	C₂	semidirect
23. #19710	C₂	semidirect
24. #19709	C₂	semidirect
25. #19708	C₂	semidirect
26. #19708	C₂	semidirect
27. #19670	C₂	semidirect
28. #19670	C₂	semidirect
29. #19667	C₂	semidirect
30. #19665	C₂	semidirect
31. #17334	C₂	semidirect
38. #3231	C₂²	semidirect
39. #3231	C₂²	semidirect
40. #3229	C₂²	semidirect
41. #3228	C₂²	semidirect
42. #3228	C₂²	semidirect
43. #3228	C₂²	semidirect
44. #3228	C₂²	semidirect
45. #3226	C₂²	semidirect
52. #3210	C₂²	semidirect
53. #3210	C₂²	semidirect
54. #3210	C₂²	semidirect
55. #3210	C₂²	semidirect
56. #3208	C₂²	semidirect
63. #3207	C₂²	semidirect
64. #3207	C₂²	semidirect
65. #3207	C₂²	semidirect
66. #3207	C₂²	semidirect
67. #3207	C₂²	semidirect
68. #3207	C₂²	semidirect
73. #3205	C₂²	semidirect
76. #3185	C₂²	semidirect
83. #3184	C₂²	semidirect
90. #3182	C₂²	semidirect
91. #3182	C₂²	semidirect
96. #3169	C₂²	semidirect
97. #3169	C₂²	semidirect
98. #3169	C₂²	semidirect
99. #3169	C₂²	semidirect
100. #3167	C₂²	semidirect
101. #3167	C₂²	semidirect
102. #3167	C₂²	semidirect
103. #3167	C₂²	semidirect
104. #3165	C₂²	semidirect
105. #3165	C₂²	semidirect
106. #3152	C₂²	semidirect
109. #3151	C₂²	semidirect
110. #3151	C₂²	semidirect
111. #3151	C₂²	semidirect
114. #3141	C₂²	semidirect
115. #3141	C₂²	semidirect
116. #3139	C₂²	semidirect
117. #3138	C₂²	semidirect
118. #3138	C₂²	semidirect
119. #3138	C₂²	semidirect
135. #1723	C₂²	semidirect
136. #1723	C₂²	semidirect
137. #1722	C₂²	semidirect
138. #1722	C₂²	semidirect
139. #1721	C₂²	semidirect
140. #1721	C₂²	semidirect
141. #1721	C₂²	semidirect
142. #1721	C₂²	semidirect
143. #1721	C₂²	semidirect
144. #1721	C₂²	semidirect
145. #1721	C₂²	semidirect
146. #1721	C₂²	semidirect
147. #1720	C₂²	semidirect
148. #1720	C₂²	semidirect
149. #1720	C₂²	semidirect
150. #1720	C₂²	semidirect
151. #1719	C₂²	semidirect
152. #1719	C₂²	semidirect
153. #1719	C₂²	semidirect
154. #1719	C₂²	semidirect
155. #1719	C₂²	semidirect
156. #1719	C₂²	semidirect
157. #1718	C₂²	semidirect
158. #1718	C₂²	semidirect
159. #1718	C₂²	semidirect
160. #1718	C₂²	semidirect
161. #1717	C₂²	semidirect
162. #1717	C₂²	semidirect
163. #1717	C₂²	semidirect
164. #1717	C₂²	semidirect
165. #1717	C₂²	semidirect
166. #1717	C₂²	semidirect
167. #1717	C₂²	semidirect
168. #1717	C₂²	semidirect
169. #1717	C₂²	semidirect
170. #1717	C₂²	semidirect
171. #1716	C₂²	semidirect
172. #1715	C₂²	semidirect
173. #1715	C₂²	semidirect
174. #1715	C₂²	semidirect
175. #1715	C₂²	semidirect
176. #1715	C₂²	semidirect
177. #1714	C₂²	semidirect
178. #1714	C₂²	semidirect
179. #1714	C₂²	semidirect
180. #1714	C₂²	semidirect
181. #1714	C₂²	semidirect
182. #1714	C₂²	semidirect
183. #1712	C₂²	semidirect
184. #1711	C₂²	semidirect
185. #1711	C₂²	semidirect
186. #1710	C₂²	semidirect
187. #1709	C₂²	semidirect
188. #1709	C₂²	semidirect
189. #1708	C₂²	semidirect
190. #1708	C₂²	semidirect
191. #1708	C₂²	semidirect
192. #1707	C₂²	semidirect
193. #1706	C₂²	semidirect
194. #1706	C₂²	semidirect
195. #1706	C₂²	semidirect
196. #1706	C₂²	semidirect
197. #1706	C₂²	semidirect
198. #1705	C₂²	semidirect
199. #1455	C₂²	semidirect
200. #1455	C₂²	semidirect
201. #1455	C₂²	semidirect
202. #1455	C₂²	semidirect
203. #1453	C₂²	semidirect
204. #1453	C₂²	semidirect
205. #1453	C₂²	semidirect
206. #1453	C₂²	semidirect
207. #1452	C₂²	semidirect
208. #1452	C₂²	semidirect
209. #1450	C₂²	semidirect
210. #1450	C₂²	semidirect

Maximal subgroups

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

subgroup	index
#60972	2
#60965	2
#60803	2
#60801	2
#60700	2
#19754	2
#19752	2
#19750	2
#19749	2
#19748	2
#19747	2
#19745	2
#19729	2
#19727	2
#19726	2
#19722	2
#19719	2
#19718	2
#19715	2
#19714	2
#19710	2
#19709	2
#19708	2
#19670	2
#19667	2
#19665	2
#17334	2