Subgroups — #6357923

Order 512.

1932 conjugacy classes of subgroups.

The subgroup lattice has 1397 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#62544	C₂	1	1	yes	maximal, characteristic, complemented
2	#62483	C₂	1	1	yes	maximal, characteristic, complemented
3	#62427	C₂	1	1	yes	maximal, characteristic, complemented
4	#62426	C₂	1	1	yes	maximal, characteristic, complemented
5	#60722	C₂	1	1	yes	maximal, characteristic, complemented
6	#60712	C₂	1	1	yes	maximal, characteristic, complemented
7	#19752	C₂	1	1	yes	maximal, characteristic, complemented
8	#19747	C₂	1	1	yes	maximal, characteristic, complemented
9	#19747	C₂	1	1	yes	maximal, characteristic, complemented
10	#19746	C₂	1	1	yes	maximal, characteristic, complemented
11	#19724	C₂	1	1	yes	maximal, characteristic, complemented
12	#19719	C₂	1	1	yes	maximal, characteristic, complemented
13	#19715	C₂	1	1	yes	maximal, characteristic, complemented
14	#19714	C₂	1	1	yes	maximal, characteristic, complemented
15	#19709	C₂	1	1	yes	maximal, characteristic, complemented
16	#19708	C₂	1	1	yes	maximal, characteristic, complemented
17	#19693	C₂	1	1	yes	maximal, characteristic, complemented
18	#19692	C₂	1	1	yes	maximal, characteristic, complemented
19	#19677	C₂	1	1	yes	maximal, characteristic, complemented
20	#19671	C₂	1	1	yes	maximal, characteristic, complemented
21	#19649	C₂	1	1	yes	maximal, characteristic, complemented
22	#19649	C₂	1	1	yes	maximal, characteristic, complemented
23	#19646	C₂	1	1	yes	maximal, characteristic, complemented
24	#19646	C₂	1	1	yes	maximal, characteristic, complemented
25	#19641	C₂	1	1	yes	maximal, characteristic, complemented
26	#19641	C₂	1	1	yes	maximal, characteristic, complemented
27	#19623	C₂	1	1	yes	maximal, characteristic, complemented
28	#19621	C₂	1	1	yes	maximal, characteristic, complemented
29	#19619	C₂	1	1	yes	maximal, characteristic, complemented
30	#19608	C₂	1	1	yes	maximal, characteristic, complemented
31	#17337	C₂	1	1	yes	maximal, characteristic, complemented
32	#3511	C₂²	1	1	yes	characteristic
33	#3509	C₂²	1	1	yes	characteristic
34	#3508	C₂²	1	1	yes	characteristic
35	#3508	C₂²	1	1	yes	characteristic
36	#3403	—	2	2	no	—
37	#3401	—	2	2	no	—
38	#3388	—	2	2	no	—
39	#3371	—	2	2	no	—
40	#3351	—	2	2	no	—
41	#3350	—	2	2	no	—
42	#3348	—	2	2	no	—
43	#3323	—	2	2	no	—
44	#3317	—	2	2	no	—
45	#3311	—	2	2	no	—
46	#3275	—	2	2	no	—
47	#3273	—	2	2	no	—
48	#3271	—	2	2	no	—
49	#3268	—	2	2	no	—
50	#3268	—	2	2	no	—
51	#3267	—	2	2	no	—
52	#3231	C₂²	1	1	yes	characteristic, complemented
53	#3231	C₂²	1	1	yes	characteristic, complemented
54	#3231	C₂²	1	1	yes	characteristic, complemented
55	#3229	C₂²	1	1	yes	characteristic, complemented
56	#3228	C₂²	1	1	yes	characteristic, complemented
57	#3228	C₂²	1	1	yes	characteristic, complemented
58	#3228	C₂²	1	1	yes	characteristic, complemented
59	#3227	C₂²	1	1	yes	characteristic
60	#3227	C₂²	1	1	yes	characteristic, complemented
61	#3210	C₂²	1	1	yes	characteristic
62	#3210	C₂²	1	1	yes	characteristic
63	#3210	C₂²	1	1	yes	characteristic
64	#3210	C₂²	1	1	yes	characteristic, complemented
65	#3210	C₂²	1	1	yes	characteristic, complemented
66	#3210	C₂²	1	1	yes	characteristic, complemented
67	#3208	C₂²	1	1	yes	characteristic, complemented
68	#3208	C₂²	1	1	yes	characteristic, complemented
69	#3207	C₂²	1	1	yes	characteristic
70	#3207	C₂²	1	1	yes	characteristic
71	#3207	C₂²	1	1	yes	characteristic
72	#3207	C₂²	1	1	yes	characteristic, complemented
73	#3206	C₂²	1	1	yes	characteristic
74	#3205	C₂²	1	1	yes	characteristic
75	#3205	C₂²	1	1	yes	characteristic
76	#3185	C₂²	1	1	yes	characteristic, complemented
77	#3185	C₂²	1	1	yes	characteristic, complemented
78	#3184	C₂²	1	1	yes	characteristic
79	#3184	C₂²	1	1	yes	characteristic
80	#3184	C₂²	1	1	yes	characteristic, complemented
81	#3182	C₂²	1	1	yes	characteristic
82	#3182	C₂²	1	1	yes	characteristic
83	#3182	C₂²	1	1	yes	characteristic
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, complemented
88	#3182	C₂²	1	1	yes	characteristic, complemented
89	#3182	C₂²	1	1	yes	characteristic, complemented
90	#3182	C₂²	1	1	yes	characteristic, complemented
91	#3182	C₂²	1	1	yes	characteristic, complemented
92	#3179	—	2	2	no	—
93	#3179	—	2	2	no	—
94	#3174	—	2	2	no	—
95	#3174	—	2	2	no	—
96	#3169	C₂²	1	1	yes	characteristic
97	#3169	C₂²	1	1	yes	characteristic
98	#3169	C₂²	1	1	yes	characteristic, complemented
99	#3167	C₂²	1	1	yes	characteristic
100	#3167	C₂²	1	1	yes	characteristic
101	#3167	C₂²	1	1	yes	characteristic
102	#3167	C₂²	1	1	yes	characteristic, complemented
103	#3167	C₂²	1	1	yes	characteristic, complemented
104	#3167	C₂²	1	1	yes	characteristic, complemented
105	#3167	C₂²	1	1	yes	characteristic, complemented
106	#3167	C₂²	1	1	yes	characteristic, complemented
107	#3167	C₂²	1	1	yes	characteristic, complemented
108	#3165	C₂²	1	1	yes	characteristic, complemented
109	#3165	C₂²	1	1	yes	characteristic, complemented
110	#3165	C₂²	1	1	yes	characteristic, complemented
111	#3160	C₂²	1	1	yes	characteristic, complemented
112	#3160	C₂²	1	1	yes	characteristic, complemented
113	#3152	C₂²	1	1	yes	characteristic
114	#3151	C₂²	1	1	yes	characteristic
115	#3151	C₂²	1	1	yes	characteristic
116	#3151	C₂²	1	1	yes	characteristic, complemented
117	#3151	C₂²	1	1	yes	characteristic, complemented
118	#3147	C₂²	1	1	yes	characteristic
119	#3147	C₂²	1	1	yes	characteristic, complemented
120	C₂×#492	C₂²	1	1	yes	characteristic, complemented
121	#3141	C₂²	1	1	yes	characteristic
122	#3139	C₂²	1	1	yes	characteristic, complemented
123	#3138	C₂²	1	1	yes	characteristic, complemented
124	#3138	C₂²	1	1	yes	characteristic, complemented
125	#3131	C₂²	1	1	yes	characteristic, complemented
126	#3131	C₂²	1	1	yes	characteristic, complemented
127	C₂×#486	C₂²	1	1	yes	characteristic, complemented
128	#3062	—	2	2	no	—
129	#3057	—	2	2	no	—
130	#2965	C₂²	1	1	yes	characteristic
131	#2965	C₂²	1	1	yes	characteristic
132	#2949	—	2	2	no	—
133	#2946	—	2	2	no	—
134	C₄×#131	C₂²	1	1	yes	characteristic
135	#1723	C₂²	1	1	yes	characteristic, complemented
136	#1723	C₂²	1	1	yes	characteristic, complemented
137	#1723	C₂²	1	1	yes	characteristic, complemented
138	#1722	C₂²	1	1	yes	characteristic, complemented
139	#1721	C₂²	1	1	yes	characteristic
140	#1721	C₂²	1	1	yes	characteristic
141	#1721	C₂²	1	1	yes	characteristic
142	#1721	C₂²	1	1	yes	characteristic
143	#1720	C₂²	1	1	yes	characteristic, complemented
144	#1720	C₂²	1	1	yes	characteristic, complemented
145	#1720	C₂²	1	1	yes	characteristic, complemented
146	#1720	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	#1719	C₂²	1	1	yes	characteristic, complemented
151	#1719	C₂²	1	1	yes	characteristic, complemented
152	#1718	C₂²	1	1	yes	characteristic, complemented
153	#1718	C₂²	1	1	yes	characteristic, complemented
154	#1718	C₂²	1	1	yes	characteristic, complemented
155	#1717	C₂²	1	1	yes	characteristic
156	#1717	C₂²	1	1	yes	characteristic
157	#1717	C₂²	1	1	yes	characteristic
158	#1717	C₂²	1	1	yes	characteristic, complemented
159	#1717	C₂²	1	1	yes	characteristic, complemented
160	#1717	C₂²	1	1	yes	characteristic, complemented
161	#1717	C₂²	1	1	yes	characteristic, complemented
162	#1717	C₂²	1	1	yes	characteristic, complemented
163	#1716	C₂²	1	1	yes	characteristic, complemented
164	#1716	C₂²	1	1	yes	characteristic, complemented
165	#1716	C₂²	1	1	yes	characteristic, complemented
166	#1715	C₂²	1	1	yes	characteristic
167	#1715	C₂²	1	1	yes	characteristic
168	#1715	C₂²	1	1	yes	characteristic
169	#1715	C₂²	1	1	yes	characteristic
170	#1715	C₂²	1	1	yes	characteristic
171	#1714	C₂²	1	1	yes	characteristic, complemented
172	#1714	C₂²	1	1	yes	characteristic, complemented
173	#1714	C₂²	1	1	yes	characteristic, complemented
174	#1714	C₂²	1	1	yes	characteristic, complemented
175	#1714	C₂²	1	1	yes	characteristic, complemented
176	#1714	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	#1713	C₂²	1	1	yes	characteristic, complemented
184	#1711	C₂²	1	1	yes	characteristic, complemented
185	#1710	C₂²	1	1	yes	characteristic, complemented
186	#1710	C₂²	1	1	yes	characteristic, complemented
187	#1708	C₂²	1	1	yes	characteristic, complemented
188	#1708	C₂²	1	1	yes	characteristic, complemented
189	#1708	C₂²	1	1	yes	characteristic, complemented
190	#1706	C₂²	1	1	yes	characteristic
191	#1706	C₂²	1	1	yes	characteristic
192	#1706	C₂²	1	1	yes	characteristic
193	#1706	C₂²	1	1	yes	characteristic
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	#1705	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	#1453	C₂²	1	1	yes	characteristic, complemented
202	#1453	C₂²	1	1	yes	characteristic, complemented
203	#1452	C₂²	1	1	yes	characteristic, complemented
204	#1451	C₂²	1	1	yes	characteristic, complemented
205	#1451	C₂²	1	1	yes	characteristic, complemented
206	C₈×M₁₆	C₂²	1	1	yes	characteristic, complemented
207	C₈×M₁₆	C₂²	1	1	yes	characteristic, complemented
208	C₈×M₁₆	C₂²	1	1	yes	characteristic, complemented
209	C₈×M₁₆	C₂²	1	1	yes	characteristic, complemented
210	C₂×#322	C₂²	1	1	yes	characteristic, complemented
211	C₂×#137	—	2	2	no	—
212	C₂×AGL(1,ℤ/8)	—	2	2	no	—
213	C₂×AGL(1,ℤ/8)	—	2	2	no	—
214	C₂×AGL(1,ℤ/8)	—	2	2	no	—
215	C₂×AGL(1,ℤ/8)	—	2	2	no	—
216	C₂×#135	—	2	2	no	—
217	C₂×#135	—	2	2	no	—
218	C₂²×SD₁₆	—	2	2	no	—
219	C₂×#131	D₄	1	2	yes	—
220	#559	—	2	1	no	—
221	#559	—	2	1	no	—
222	#559	—	2	1	no	—
223	#559	—	2	1	no	—
224	#557	—	2	1	no	—
225	#557	—	2	1	no	—
226	#556	—	2	1	no	—
227	#556	—	2	1	no	—
228	#556	—	2	1	no	—
229	#555	—	2	1	no	—
230	#554	—	2	1	no	—
231	#553	—	2	1	no	—
232	#553	—	2	1	no	—
233	#552	—	2	1	no	—
234	#552	—	2	1	no	—
235	#552	—	2	1	no	—
236	#552	—	2	1	no	—
237	#550	—	2	1	no	—
238	#550	—	2	1	no	—
239	#550	—	2	1	no	—
240	#550	—	2	1	no	—
241	#548	—	2	1	no	—
242	#548	—	2	1	no	—
243	#547	—	2	1	no	—
244	#546	—	2	1	no	—
245	#546	—	2	1	no	—
246	#546	—	2	1	no	—
247	#546	—	2	1	no	—
248	#546	—	2	1	no	—
249	#546	—	2	1	no	—
250	#546	—	2	1	no	—
251	#546	—	2	1	no	—
252	#542	—	2	1	no	—
253	#542	—	2	1	no	—
254	#541	—	2	1	no	—
255	#541	—	2	1	no	—
256	#540	—	2	1	no	—
257	#540	—	2	1	no	—
258	#540	—	2	1	no	—
259	#540	—	2	1	no	—
260	#537	—	2	1	no	—
261	#536	—	2	1	no	—
262	#535	—	2	1	no	—
263	#535	—	2	1	no	—
264	#533	C₂³	1	1	yes	characteristic
265	#533	C₂³	1	1	yes	characteristic
266	#533	C₂³	1	1	yes	characteristic
267	#533	C₂³	1	1	yes	characteristic
268	#533	C₂³	1	1	yes	characteristic
269	#533	C₂³	1	1	yes	characteristic
270	#533	C₂³	1	1	yes	characteristic
271	#533	C₂³	1	1	yes	characteristic
272	#533	C₂³	1	1	yes	characteristic
273	#532	C₂³	1	1	yes	characteristic
274	#532	C₂³	1	1	yes	characteristic
275	#532	C₂³	1	1	yes	characteristic
276	#532	C₂³	1	1	yes	characteristic
277	#532	C₂³	1	1	yes	characteristic
278	#532	C₂³	1	1	yes	characteristic
279	#532	C₂³	1	1	yes	characteristic
280	#532	C₂³	1	1	yes	characteristic
281	#532	C₂³	1	1	yes	characteristic
282	#532	C₂³	1	1	yes	characteristic
283	#532	C₂³	1	1	yes	characteristic
284	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
285	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
286	C₂×#127	C₂³	1	1	yes	characteristic
287	C₂×#127	C₂³	1	1	yes	characteristic
288	#520	—	2	1	no	—
289	#519	—	2	1	no	—
290	#518	—	2	1	no	—
291	#518	—	2	1	no	—
292	C₄×#41	C₂³	1	1	yes	characteristic
293	#501	—	2	2	no	—
294	#501	—	2	2	no	—
295	#501	—	2	2	no	—
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	#500	C₂³	1	1	yes	characteristic
302	#500	C₂³	1	1	yes	characteristic
303	#500	C₂³	1	1	yes	characteristic
304	#500	C₂³	1	1	yes	characteristic
305	#500	C₂³	1	1	yes	characteristic
306	#499	—	2	2	no	—
307	#499	—	2	2	no	—
308	#498	C₂³	1	1	yes	characteristic
309	#498	C₂³	1	1	yes	characteristic
310	#498	C₂³	1	1	yes	characteristic
311	#498	C₂³	1	1	yes	characteristic
312	#498	C₂³	1	1	yes	characteristic
313	#498	C₂³	1	1	yes	characteristic
314	#498	C₂³	1	1	yes	characteristic
315	#498	C₂³	1	1	yes	characteristic
316	#498	C₂³	1	1	yes	characteristic
317	#498	C₂³	1	1	yes	characteristic
318	#498	C₂³	1	1	yes	characteristic
319	#498	C₂³	1	1	yes	characteristic
320	#497	—	2	2	no	—
321	#496	—	2	2	no	—
322	#496	—	2	2	no	—
323	#496	—	2	2	no	—
324	#496	—	2	2	no	—
325	#495	—	2	2	no	—
326	#495	—	2	2	no	—
327	#494	C₂³	1	1	yes	characteristic
328	#494	C₂³	1	1	yes	characteristic
329	#494	C₂³	1	1	yes	characteristic
330	#494	C₂³	1	1	yes	characteristic
331	#493	C₂³	1	1	yes	characteristic
332	#493	C₂³	1	1	yes	characteristic
333	#493	C₂³	1	1	yes	characteristic
334	#493	C₂³	1	1	yes	characteristic
335	#493	C₂³	1	1	yes	characteristic
336	#493	C₂³	1	1	yes	characteristic
337	#493	C₂³	1	1	yes	characteristic
338	#493	C₂³	1	1	yes	characteristic
339	#492	—	2	2	no	—
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	#492	C₂³	1	1	yes	characteristic
348	#492	C₂³	1	1	yes	characteristic
349	#492	C₂³	1	1	yes	characteristic
350	#492	C₂³	1	1	yes	characteristic
351	#492	C₂³	1	1	yes	characteristic
352	#492	C₂³	1	1	yes	characteristic
353	#492	C₂³	1	1	yes	characteristic
354	#492	C₂³	1	1	yes	characteristic
355	#492	C₂³	1	1	yes	characteristic
356	#492	C₂³	1	1	yes	characteristic
357	#492	C₂³	1	1	yes	characteristic
358	#491	—	2	2	no	—
359	#490	—	2	2	no	—
360	#490	—	2	2	no	—
361	#489	—	2	2	no	—
362	#488	—	2	2	no	—
363	#488	—	2	2	no	—
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	#487	C₂³	1	1	yes	characteristic
374	#487	C₂³	1	1	yes	characteristic
375	#487	C₂³	1	1	yes	characteristic
376	#487	C₂³	1	1	yes	characteristic
377	#487	C₂³	1	1	yes	characteristic
378	#487	C₂³	1	1	yes	characteristic
379	#487	C₂³	1	1	yes	characteristic
380	#487	C₂³	1	1	yes	characteristic
381	#487	C₂³	1	1	yes	characteristic
382	#486	—	2	2	no	—
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	#486	C₂³	1	1	yes	characteristic
404	#486	C₂³	1	1	yes	characteristic
405	#486	C₂³	1	1	yes	characteristic
406	#486	C₂³	1	1	yes	characteristic
407	#486	C₂³	1	1	yes	characteristic
408	#486	C₂³	1	1	yes	characteristic
409	#485	—	2	2	no	—
410	#485	—	2	2	no	—
411	#485	—	2	2	no	—
412	#483	—	2	2	no	—
413	#482	—	2	2	no	—
414	#482	—	2	2	no	—
415	#482	—	2	2	no	—
416	#481	—	2	2	no	—
417	#481	—	2	2	no	—
418	#479	—	2	2	no	—
419	#479	—	2	2	no	—
420	#479	—	2	2	no	—
421	#478	—	2	2	no	—
422	#478	—	2	2	no	—
423	#478	—	2	2	no	—
424	#476	—	2	2	no	—
425	#476	—	2	2	no	—
426	#475	—	2	2	no	—
427	#470	—	2	2	no	—
428	#470	—	2	2	no	—
429	#469	—	2	2	no	—
430	#469	—	2	2	no	—
431	#469	—	2	2	no	—
432	#468	—	2	2	no	—
433	#468	—	2	2	no	—
434	#468	—	2	2	no	—
435	#468	—	2	2	no	—
436	#468	—	2	2	no	—
437	#468	—	2	2	no	—
438	#468	—	2	2	no	—
439	#468	—	2	2	no	—
440	#468	—	2	2	no	—
441	#468	—	2	2	no	—
442	#468	—	2	2	no	—
443	#466	—	2	2	no	—
444	#466	—	2	2	no	—
445	#466	—	2	2	no	—
446	#465	—	2	2	no	—
447	#465	—	2	2	no	—
448	#465	—	2	2	no	—
449	#465	—	2	2	no	—
450	#465	—	2	2	no	—
451	#465	—	2	2	no	—
452	#465	—	2	2	no	—
453	#465	—	2	2	no	—
454	#465	—	2	2	no	—
455	#464	—	2	2	no	—
456	#464	—	2	2	no	—
457	#464	—	2	2	no	—
458	#464	—	2	2	no	—
459	#464	—	2	2	no	—
460	#464	—	2	2	no	—
461	#463	—	2	2	no	—
462	#463	—	2	2	no	—
463	#463	—	2	2	no	—
464	#463	—	2	2	no	—
465	#461	—	2	2	no	—
466	#460	—	2	2	no	—
467	#460	—	2	2	no	—
468	#459	—	2	2	no	—
469	#459	—	2	2	no	—
470	#452	—	2	2	no	—
471	#452	—	2	2	no	—
472	#452	—	2	2	no	—
473	#452	—	2	2	no	—
474	#452	—	2	2	no	—
475	#452	—	2	2	no	—
476	#450	—	2	2	no	—
477	#450	—	2	2	no	—
478	#449	—	2	2	no	—
479	#449	—	2	2	no	—
480	#449	—	2	2	no	—
481	#449	—	2	2	no	—
482	#448	—	2	2	no	—
483	#447	—	2	2	no	—
484	#447	—	2	2	no	—
485	#446	D₄	1	2	yes	—
486	#446	D₄	1	2	yes	—
487	#442	—	2	2	no	—
488	#442	—	2	2	no	—
489	#442	—	2	2	no	—
490	#441	—	2	2	no	—
491	#441	—	2	2	no	—
492	#440	—	2	2	no	—
493	#440	—	2	2	no	—
494	#440	—	2	2	no	—
495	#440	—	2	2	no	—
496	#440	—	2	2	no	—
497	#440	—	2	2	no	—
498	#440	—	2	2	no	—
499	#440	—	2	2	no	—
500	#440	—	2	2	no	—
501	#440	—	2	2	no	—
502	#440	—	2	2	no	—
503	C₄×SD₁₆	—	2	2	no	—
504	C₄×SD₁₆	—	2	2	no	—
505	C₄×SD₁₆	—	2	2	no	—
506	C₄×SD₁₆	—	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×SD₁₆	—	2	2	no	—
512	C₄×D₈	—	2	2	no	—
513	C₄×D₈	—	2	2	no	—
514	C₄×D₈	—	2	2	no	—
515	#436	D₄	1	2	yes	—
516	#436	D₄	1	2	yes	—
517	#435	D₄	1	2	yes	—
518	#435	D₄	1	2	yes	—
519	#435	D₄	1	2	yes	—
520	#435	D₄	1	2	yes	—
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	#428	—	2	2	no	—
530	#427	—	2	2	no	—
531	#427	—	2	2	no	—
532	#419	—	2	2	no	—
533	#418	—	2	2	no	—
534	#418	—	2	2	no	—
535	#417	—	2	2	no	—
536	#416	—	2	2	no	—
537	#416	—	2	2	no	—
538	C₂×#102	—	2	2	no	—
539	#405	D₄	1	2	yes	—
540	#405	D₄	1	2	yes	—
541	#405	D₄	1	2	yes	—
542	C₄×M₁₆	C₂³	1	1	yes	characteristic
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	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
550	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
551	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
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	C₂×D₄	1	1	yes	characteristic
582	C₂²×Q₈	—	2	1	no	—
583	C₂²×Q₈	—	2	1	no	—
584	C₂²×D₄	—	2	1	no	—
585	C₂²×D₄	—	2	1	no	—
586	C₂²×D₄	—	2	1	no	—
587	C₂²×D₄	—	2	1	no	—
588	C₂²×D₄	—	2	1	no	—
589	C₂²×D₄	—	2	1	no	—
590	#137	—	8	4	no	—
591	AGL(1,ℤ/8)	—	4	8	no	—
592	AGL(1,ℤ/8)	—	8	4	no	—
593	AGL(1,ℤ/8)	—	8	4	no	—
594	AGL(1,ℤ/8)	—	8	4	no	—
595	#135	—	8	4	no	—
596	#135	—	8	4	no	—
597	C₂×Q₁₆	—	2	2	no	—
598	C₂×Q₁₆	—	2	2	no	—
599	C₂×Q₁₆	—	2	2	no	—
600	C₂×Q₁₆	—	2	2	no	—
601	C₂×SD₁₆	—	2	2	no	—
602	C₂×SD₁₆	—	2	2	no	—
603	C₂×SD₁₆	—	2	2	no	—
604	C₂×SD₁₆	—	2	2	no	—
605	C₂×SD₁₆	—	2	2	no	—
606	C₂×SD₁₆	—	2	2	no	—
607	C₂×SD₁₆	—	2	2	no	—
608	C₂×SD₁₆	—	2	2	no	—
609	C₂×SD₁₆	—	2	2	no	—
610	C₂×SD₁₆	—	2	2	no	—
611	C₂×SD₁₆	—	2	2	no	—
612	C₂×SD₁₆	—	2	2	no	—
613	C₂×SD₁₆	—	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	—	4	8	no	—
620	C₂×D₈	—	2	2	no	—
621	C₂×D₈	—	2	2	no	—
622	C₂×D₈	—	2	2	no	—
623	C₂×D₈	—	2	2	no	—
624	C₂×D₈	—	2	2	no	—
625	C₂×D₈	—	2	2	no	—
626	C₂×D₈	—	2	2	no	—
627	C₂×D₈	—	2	2	no	—
628	#131	—	4	4	no	—
629	C₂×M₁₆	C₂×D₄	1	2	yes	—
630	C₂×M₁₆	C₂×D₄	1	2	yes	—
631	C₂×M₁₆	C₂×D₄	1	2	yes	—
632	C₂×M₁₆	C₂×D₄	1	2	yes	—
633	C₂×M₁₆	C₂×D₄	1	2	yes	—
634	C₂×M₁₆	C₂×D₄	1	2	yes	—
635	C₂×M₁₆	C₂×D₄	1	2	yes	—
636	C₂²×C₈	C₂×D₄	1	2	yes	—
637	C₂²×C₈	C₂×D₄	1	2	yes	—
638	C₂²×C₈	C₂×D₄	1	2	yes	—
639	C₂²×C₈	C₂×D₄	1	2	yes	—
640	C₂²×C₈	C₂×D₄	1	2	yes	—
641	C₄⋊Q₈	—	2	1	no	—
642	C₄⋊Q₈	—	2	1	no	—
643	C₄⋊Q₈	—	2	1	no	—
644	C₄⋊Q₈	—	2	1	no	—
645	C₄⋊Q₈	—	2	1	no	—
646	C₄⋊Q₈	—	2	1	no	—
647	C₄⋊Q₈	—	4	1	no	—
648	C₄⋊Q₈	C₂⁴	1	1	yes	characteristic
649	C₄⋊Q₈	C₂⁴	1	1	yes	characteristic
650	C₄⋊Q₈	C₂⁴	1	1	yes	characteristic
651	C₄⋊Q₈	C₂⁴	1	1	yes	characteristic
652	C₄⋊Q₈	C₂⁴	1	1	yes	characteristic
653	C₄⋊Q₈	C₂⁴	1	1	yes	characteristic
654	C₄⋊Q₈	C₂⁴	1	1	yes	characteristic
655	C₄⋊Q₈	C₂⁴	1	1	yes	characteristic
656	C₄⋊Q₈	C₂⁴	1	1	yes	characteristic
657	C₄⋊Q₈	C₂⁴	1	1	yes	characteristic
658	C₄⋊Q₈	C₂⁴	1	1	yes	characteristic
659	#127	—	2	1	no	—
660	#127	—	2	1	no	—
661	#127	—	2	1	no	—
662	#127	—	2	1	no	—
663	#127	—	2	1	no	—
664	#127	—	2	1	no	—
665	#127	—	4	1	no	—
666	#127	—	4	1	no	—
667	#127	C₂⁴	1	1	yes	characteristic
668	#127	C₂⁴	1	1	yes	characteristic
669	#127	C₂⁴	1	1	yes	characteristic
670	#127	C₂⁴	1	1	yes	characteristic
671	#127	C₂⁴	1	1	yes	characteristic
672	#126	—	4	1	no	—
673	#126	—	4	1	no	—
674	#126	—	4	1	no	—
675	#126	—	4	1	no	—
676	#126	—	4	1	no	—
677	#126	—	4	1	no	—
678	#125	—	2	1	no	—
679	#125	—	2	1	no	—
680	#125	—	2	1	no	—
681	#125	—	2	1	no	—
682	#125	—	2	1	no	—
683	#125	—	2	1	no	—
684	#125	—	2	1	no	—
685	#125	—	2	1	no	—
686	#125	—	2	1	no	—
687	#125	—	4	1	no	—
688	#125	—	4	1	no	—
689	#125	—	4	1	no	—
690	#125	—	4	1	no	—
691	#124	—	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	—	4	1	no	—
703	#124	—	4	1	no	—
704	#124	—	4	1	no	—
705	#124	—	4	1	no	—
706	#124	—	4	1	no	—
707	#123	—	4	1	no	—
708	#123	—	4	1	no	—
709	#123	—	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	#123	—	4	1	no	—
717	#123	—	4	1	no	—
718	#123	—	4	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	C₂²⋊Q₈	—	2	1	no	—
729	C₂²⋊Q₈	—	2	1	no	—
730	C₂²⋊Q₈	—	2	1	no	—
731	C₂²⋊Q₈	—	2	1	no	—
732	C₂²⋊Q₈	—	2	1	no	—
733	C₂²⋊Q₈	—	2	1	no	—
734	C₂²⋊Q₈	—	2	1	no	—
735	C₂²⋊Q₈	—	2	1	no	—
736	C₂²⋊Q₈	—	2	1	no	—
737	C₂²⋊Q₈	—	4	1	no	—
738	C₂²⋊Q₈	—	4	1	no	—
739	C₂²⋊Q₈	—	4	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	—	2	1	no	—
757	#121	—	2	1	no	—
758	#121	—	2	1	no	—
759	#121	—	2	1	no	—
760	#121	—	2	1	no	—
761	#121	—	2	1	no	—
762	#121	—	4	1	no	—
763	#121	—	4	1	no	—
764	#121	—	4	1	no	—
765	#121	—	4	1	no	—
766	#121	—	4	1	no	—
767	#121	—	4	1	no	—
768	#121	—	4	1	no	—
769	#121	—	4	1	no	—
770	#121	—	4	1	no	—
771	#121	—	4	1	no	—
772	#121	—	4	1	no	—
773	#120	—	4	1	no	—
774	#120	—	4	1	no	—
775	#120	—	4	1	no	—
776	#120	—	4	1	no	—
777	C₄×Q₈	—	2	1	no	—
778	C₄×Q₈	—	2	1	no	—
779	C₄×Q₈	—	2	1	no	—
780	C₄×Q₈	—	2	1	no	—
781	C₄×Q₈	—	2	1	no	—
782	C₄×Q₈	—	2	1	no	—
783	C₄×Q₈	—	2	1	no	—
784	C₄×Q₈	—	2	1	no	—
785	C₄×Q₈	—	2	1	no	—
786	C₄×Q₈	—	2	1	no	—
787	C₄×Q₈	—	2	1	no	—
788	C₄×Q₈	—	2	1	no	—
789	C₄×Q₈	—	2	1	no	—
790	C₄×Q₈	—	2	1	no	—
791	C₄×Q₈	—	2	1	no	—
792	C₄×Q₈	—	2	1	no	—
793	C₄×Q₈	—	2	1	no	—
794	C₄×Q₈	—	2	1	no	—
795	C₄×Q₈	—	4	1	no	—
796	C₄×Q₈	—	4	1	no	—
797	C₄×Q₈	C₂×D₄	1	1	yes	characteristic
798	C₄×Q₈	C₂×D₄	1	1	yes	characteristic
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	—	2	1	no	—
807	C₄×D₄	—	2	1	no	—
808	C₄×D₄	—	2	1	no	—
809	C₄×D₄	—	2	1	no	—
810	C₄×D₄	—	2	1	no	—
811	C₄×D₄	—	2	1	no	—
812	C₄×D₄	—	2	1	no	—
813	C₄×D₄	—	2	1	no	—
814	C₄×D₄	—	2	1	no	—
815	C₄×D₄	—	2	1	no	—
816	C₄×D₄	—	2	1	no	—
817	C₄×D₄	—	2	1	no	—
818	C₄×D₄	—	2	1	no	—
819	C₄×D₄	—	2	1	no	—
820	C₄×D₄	—	2	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	C₄×D₄	—	4	1	no	—
827	C₄×D₄	C₂×D₄	1	1	yes	characteristic
828	C₄×D₄	C₂×D₄	1	1	yes	characteristic
829	C₄×D₄	C₂×D₄	1	1	yes	characteristic
830	C₄×D₄	C₂×D₄	1	1	yes	characteristic
831	C₄×D₄	C₂×D₄	1	1	yes	characteristic
832	C₄×D₄	C₂×D₄	1	1	yes	characteristic
833	#117	—	2	1	no	—
834	#117	—	2	1	no	—
835	#117	—	2	1	no	—
836	#117	—	2	1	no	—
837	#117	—	2	1	no	—
838	#117	—	2	1	no	—
839	#117	—	2	1	no	—
840	#117	—	2	1	no	—
841	#117	—	2	1	no	—
842	#117	—	4	1	no	—
843	#117	—	4	1	no	—
844	#117	—	4	1	no	—
845	#117	C₂×D₄	1	1	yes	characteristic
846	#117	C₂×D₄	1	1	yes	characteristic
847	#117	C₂×D₄	1	1	yes	characteristic
848	C₂×C₄⋊C₄	—	2	1	no	—
849	C₂×C₄⋊C₄	—	2	1	no	—
850	C₂×C₄⋊C₄	—	2	1	no	—
851	C₂×C₄⋊C₄	—	2	1	no	—
852	C₂×C₄⋊C₄	—	4	1	no	—
853	C₂×C₂²⋊C₄	—	4	1	no	—
854	C₂×C₂²⋊C₄	—	4	1	no	—
855	C₂×C₂²⋊C₄	—	4	1	no	—
856	C₂×C₂²⋊C₄	—	4	1	no	—
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	#107	—	2	2	no	—
869	#107	—	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	#106	—	2	2	no	—
877	#106	—	2	2	no	—
878	#106	—	2	2	no	—
879	#106	—	2	2	no	—
880	#106	—	2	2	no	—
881	#106	—	2	2	no	—
882	C₄⋊C₈	C₂×D₄	1	2	yes	—
883	C₄⋊C₈	C₂×D₄	1	2	yes	—
884	C₄⋊C₈	C₂×D₄	1	2	yes	—
885	C₄⋊C₈	C₂×D₄	1	2	yes	—
886	C₄⋊C₈	C₂×D₄	1	2	yes	—
887	C₄⋊C₈	C₂×D₄	1	2	yes	—
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	#103	—	2	2	no	—
903	#103	—	2	2	no	—
904	#103	—	2	2	no	—
905	#103	—	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	#97	C₂×D₄	1	2	yes	—
939	#97	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	C₄×C₈	C₂×D₄	1	2	yes	—
946	C₄×C₈	C₂×D₄	1	2	yes	—
947	C₄×C₈	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	#41	—	4	2	no	—
965	#41	—	4	4	no	—
966	#41	—	8	2	no	—
967	#41	—	8	2	no	—
968	#41	—	8	2	no	—
969	#41	—	8	2	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	C₂×Q₈	—	2	1	no	—
977	C₂×Q₈	—	2	1	no	—
978	C₂×Q₈	—	2	1	no	—
979	C₂×Q₈	—	2	1	no	—
980	C₂×Q₈	—	2	1	no	—
981	C₂×Q₈	—	2	1	no	—
982	C₂×Q₈	—	2	1	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	—	4	4	no	—
988	C₂×Q₈	—	4	1	no	—
989	C₂×Q₈	—	4	1	no	—
990	C₂×Q₈	—	8	2	no	—
991	C₂×Q₈	#127	1	1	yes	characteristic
992	C₂×D₄	—	2	1	no	—
993	C₂×D₄	—	2	1	no	—
994	C₂×D₄	—	2	1	no	—
995	C₂×D₄	—	2	1	no	—
996	C₂×D₄	—	2	1	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	—	4	4	no	—
1008	C₂×D₄	—	4	4	no	—
1009	C₂×D₄	—	4	1	no	—
1010	C₂×D₄	—	4	1	no	—
1011	C₂×D₄	—	4	1	no	—
1012	C₂×D₄	—	4	1	no	—
1013	C₂×D₄	—	4	1	no	—
1014	C₂×D₄	—	4	1	no	—
1015	C₂×D₄	—	4	1	no	—
1016	C₂×D₄	—	4	1	no	—
1017	C₂×D₄	—	4	1	no	—
1018	C₂×D₄	—	4	1	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	—	8	2	no	—
1027	C₂×D₄	—	8	2	no	—
1028	C₂×D₄	—	8	2	no	—
1029	C₂×D₄	—	8	2	no	—
1030	C₂×D₄	#127	1	1	yes	characteristic
1031	C₂×D₄	#127	1	1	yes	characteristic
1032	C₂×D₄	#127	1	1	yes	characteristic
1033	C₂²×C₄	—	4	1	no	—
1034	C₂²×C₄	—	4	1	no	—
1035	C₂²×C₄	—	4	1	no	—
1036	C₂²×C₄	—	4	1	no	—
1037	C₂²×C₄	—	4	1	no	—
1038	C₂²×C₄	—	4	1	no	—
1039	C₂²×C₄	—	4	1	no	—
1040	C₂²×C₄	—	4	1	no	—
1041	C₂²×C₄	—	4	1	no	—
1042	C₂²×C₄	—	4	1	no	—
1043	C₂²×C₄	—	4	1	no	—
1044	C₂²×C₄	—	4	1	no	—
1045	C₂²×C₄	—	4	1	no	—
1046	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1047	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1048	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1049	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1050	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1051	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1052	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1053	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1054	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1055	Q₁₆	—	4	4	no	—
1056	Q₁₆	—	8	2	no	—
1057	Q₁₆	—	8	2	no	—
1058	Q₁₆	—	8	2	no	—
1059	SD₁₆	—	4	4	no	—
1060	SD₁₆	—	4	4	no	—
1061	SD₁₆	—	4	4	no	—
1062	SD₁₆	—	4	4	no	—
1063	SD₁₆	—	4	4	no	—
1064	SD₁₆	—	4	4	no	—
1065	SD₁₆	—	4	4	no	—
1066	SD₁₆	—	4	4	no	—
1067	SD₁₆	—	4	4	no	—
1068	SD₁₆	—	4	4	no	—
1069	SD₁₆	—	8	2	no	—
1070	SD₁₆	—	8	2	no	—
1071	SD₁₆	—	8	2	no	—
1072	SD₁₆	—	8	2	no	—
1073	SD₁₆	—	8	2	no	—
1074	SD₁₆	—	8	2	no	—
1075	SD₁₆	—	8	2	no	—
1076	SD₁₆	—	8	2	no	—
1077	D₈	—	4	4	no	—
1078	D₈	—	4	4	no	—
1079	D₈	—	4	4	no	—
1080	D₈	—	4	4	no	—
1081	D₈	—	8	2	no	—
1082	D₈	—	8	2	no	—
1083	D₈	—	8	2	no	—
1084	D₈	—	8	2	no	—
1085	M₁₆	—	2	4	no	—
1086	M₁₆	—	2	4	no	—
1087	M₁₆	—	2	4	no	—
1088	M₁₆	—	2	4	no	—
1089	M₁₆	—	4	2	no	—
1090	M₁₆	—	4	2	no	—
1091	M₁₆	—	4	2	no	—
1092	C₂×C₈	—	2	4	no	—
1093	C₂×C₈	—	2	4	no	—
1094	C₂×C₈	—	4	2	no	—
1095	C₂×C₈	—	4	2	no	—
1096	C₂×C₈	—	4	2	no	—
1097	C₂×C₈	C₂²×D₄	1	2	yes	—
1098	C₂×C₈	C₂²×D₄	1	2	yes	—
1099	C₂×C₈	C₂²×D₄	1	2	yes	—
1100	C₂×C₈	C₂²×D₄	1	2	yes	—
1101	C₂×C₈	C₂²×D₄	1	2	yes	—
1102	C₂×C₈	C₂²×D₄	1	2	yes	—
1103	C₂×C₈	C₂²×D₄	1	2	yes	—
1104	C₂×C₈	C₂²×D₄	1	2	yes	—
1105	C₂×C₈	C₂²×D₄	1	2	yes	—
1106	C₂×C₈	C₂²×D₄	1	2	yes	—
1107	C₂×C₈	C₂²×D₄	1	2	yes	—
1108	C₂×C₈	C₂²×D₄	1	2	yes	—
1109	C₄⋊C₄	—	2	1	no	—
1110	C₄⋊C₄	—	2	1	no	—
1111	C₄⋊C₄	—	2	1	no	—
1112	C₄⋊C₄	—	2	1	no	—
1113	C₄⋊C₄	—	2	1	no	—
1114	C₄⋊C₄	—	2	1	no	—
1115	C₄⋊C₄	—	2	1	no	—
1116	C₄⋊C₄	—	2	1	no	—
1117	C₄⋊C₄	—	2	1	no	—
1118	C₄⋊C₄	—	2	1	no	—
1119	C₄⋊C₄	—	2	1	no	—
1120	C₄⋊C₄	—	2	1	no	—
1121	C₄⋊C₄	—	2	1	no	—
1122	C₄⋊C₄	—	2	1	no	—
1123	C₄⋊C₄	—	2	1	no	—
1124	C₄⋊C₄	—	2	1	no	—
1125	C₄⋊C₄	—	2	1	no	—
1126	C₄⋊C₄	—	2	1	no	—
1127	C₄⋊C₄	—	2	1	no	—
1128	C₄⋊C₄	—	2	1	no	—
1129	C₄⋊C₄	—	2	1	no	—
1130	C₄⋊C₄	—	2	1	no	—
1131	C₄⋊C₄	—	4	1	no	—
1132	C₄⋊C₄	—	4	1	no	—
1133	C₄⋊C₄	—	4	1	no	—
1134	C₄⋊C₄	—	4	1	no	—
1135	C₄⋊C₄	—	4	1	no	—
1136	C₄⋊C₄	—	4	1	no	—
1137	C₄⋊C₄	—	4	1	no	—
1138	C₄⋊C₄	—	4	1	no	—
1139	C₄⋊C₄	—	4	1	no	—
1140	C₄⋊C₄	—	4	1	no	—
1141	C₄⋊C₄	—	4	1	no	—
1142	C₄⋊C₄	—	4	1	no	—
1143	C₄⋊C₄	—	4	1	no	—
1144	C₄⋊C₄	—	4	1	no	—
1145	C₄⋊C₄	—	4	1	no	—
1146	C₄⋊C₄	—	4	1	no	—
1147	C₄⋊C₄	—	4	1	no	—
1148	C₄⋊C₄	—	4	1	no	—
1149	C₄⋊C₄	—	4	1	no	—
1150	C₄⋊C₄	—	4	1	no	—
1151	C₄⋊C₄	—	4	1	no	—
1152	C₄⋊C₄	—	4	1	no	—
1153	C₄⋊C₄	#127	1	1	yes	characteristic
1154	C₄⋊C₄	#127	1	1	yes	characteristic
1155	C₄⋊C₄	#127	1	1	yes	characteristic
1156	C₄⋊C₄	#127	1	1	yes	characteristic
1157	C₄⋊C₄	#127	1	1	yes	characteristic
1158	C₄⋊C₄	#127	1	1	yes	characteristic
1159	C₂²⋊C₄	—	4	1	no	—
1160	C₂²⋊C₄	—	4	1	no	—
1161	C₂²⋊C₄	—	4	1	no	—
1162	C₂²⋊C₄	—	4	1	no	—
1163	C₂²⋊C₄	—	4	1	no	—
1164	C₂²⋊C₄	—	4	1	no	—
1165	C₂²⋊C₄	—	4	1	no	—
1166	C₂²⋊C₄	—	4	1	no	—
1167	C₂²⋊C₄	—	4	1	no	—
1168	C₂²⋊C₄	—	4	1	no	—
1169	C₂²⋊C₄	—	4	1	no	—
1170	C₂²⋊C₄	—	4	1	no	—
1171	C₂²⋊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	#127	1	1	yes	characteristic
1191	C₂²⋊C₄	#127	1	1	yes	characteristic
1192	C₂²⋊C₄	#127	1	1	yes	characteristic
1193	C₂²⋊C₄	#127	1	1	yes	characteristic
1194	C₂²⋊C₄	#127	1	1	yes	characteristic
1195	C₂²⋊C₄	#127	1	1	yes	characteristic
1196	C₄²	—	4	1	no	—
1197	C₄²	—	4	1	no	—
1198	C₄²	—	4	1	no	—
1199	C₄²	—	4	1	no	—
1200	C₄²	—	4	1	no	—
1201	C₄²	—	4	1	no	—
1202	C₄²	—	4	1	no	—
1203	C₄²	—	4	1	no	—
1204	C₄²	—	4	1	no	—
1205	C₄²	C₂²×D₄	1	1	yes	characteristic
1206	C₄²	C₂²×D₄	1	1	yes	characteristic
1207	C₄²	C₂²×D₄	1	1	yes	characteristic
1208	C₄²	C₂²×D₄	1	1	yes	characteristic
1209	C₄²	C₂²×D₄	1	1	yes	characteristic
1210	C₄²	C₂²×D₄	1	1	yes	characteristic
1211	C₄²	C₂²×D₄	1	1	yes	characteristic
1212	C₄²	C₂²×D₄	1	1	yes	characteristic
1213	C₄²	C₂²×D₄	1	1	yes	characteristic
1214	C₄²	C₂⁵	1	1	yes	characteristic
1215	C₂³	—	4	1	no	—
1216	C₂³	—	4	1	no	—
1217	C₂³	—	4	1	no	—
1218	C₂³	—	4	1	no	—
1219	C₂³	—	4	1	no	—
1220	C₂³	—	8	2	no	—
1221	C₂³	—	8	2	no	—
1222	C₂³	—	16	1	no	—
1223	C₂³	—	16	1	no	—
1224	C₂³	—	16	1	no	—
1225	C₂³	—	16	1	no	—
1226	C₂³	C₂×#127	1	1	yes	characteristic
1227	C₂³	C₂×#127	1	1	yes	characteristic
1228	C₂³	C₂×#127	1	1	yes	characteristic
1229	Q₈	—	4	1	no	—
1230	Q₈	—	4	2	no	—
1231	Q₈	—	4	2	no	—
1232	Q₈	—	4	2	no	—
1233	Q₈	—	4	2	no	—
1234	Q₈	—	4	2	no	—
1235	Q₈	—	4	2	no	—
1236	Q₈	—	4	2	no	—
1237	Q₈	—	4	2	no	—
1238	Q₈	—	4	2	no	—
1239	Q₈	—	4	2	no	—
1240	Q₈	—	4	2	no	—
1241	Q₈	—	8	2	no	—
1242	Q₈	—	16	1	no	—
1243	D₄	—	4	1	no	—
1244	D₄	—	4	1	no	—
1245	D₄	—	4	1	no	—
1246	D₄	—	4	2	no	—
1247	D₄	—	4	2	no	—
1248	D₄	—	4	2	no	—
1249	D₄	—	4	2	no	—
1250	D₄	—	4	2	no	—
1251	D₄	—	4	2	no	—
1252	D₄	—	4	2	no	—
1253	D₄	—	4	2	no	—
1254	D₄	—	4	2	no	—
1255	D₄	—	4	2	no	—
1256	D₄	—	4	2	no	—
1257	D₄	—	4	2	no	—
1258	D₄	—	4	2	no	—
1259	D₄	—	4	2	no	—
1260	D₄	—	4	2	no	—
1261	D₄	—	8	2	no	—
1262	D₄	—	8	2	no	—
1263	D₄	—	8	2	no	—
1264	D₄	—	16	1	no	—
1265	D₄	—	16	1	no	—
1266	D₄	—	16	1	no	—
1267	D₄	—	16	1	no	—
1268	D₄	—	16	1	no	—
1269	D₄	—	16	1	no	—
1270	D₄	—	16	1	no	—
1271	D₄	—	16	1	no	—
1272	D₄	—	16	1	no	—
1273	D₄	—	16	1	no	—
1274	D₄	—	16	1	no	—
1275	D₄	—	16	1	no	—
1276	D₄	—	16	1	no	—
1277	D₄	—	16	1	no	—
1278	C₂×C₄	—	2	2	no	—
1279	C₂×C₄	—	2	2	no	—
1280	C₂×C₄	—	2	2	no	—
1281	C₂×C₄	—	2	2	no	—
1282	C₂×C₄	—	2	2	no	—
1283	C₂×C₄	—	2	2	no	—
1284	C₂×C₄	—	2	2	no	—
1285	C₂×C₄	—	2	2	no	—
1286	C₂×C₄	—	2	2	no	—
1287	C₂×C₄	—	4	1	no	—
1288	C₂×C₄	—	4	1	no	—
1289	C₂×C₄	—	4	1	no	—
1290	C₂×C₄	—	4	1	no	—
1291	C₂×C₄	—	4	1	no	—
1292	C₂×C₄	—	4	1	no	—
1293	C₂×C₄	—	4	1	no	—
1294	C₂×C₄	—	4	1	no	—
1295	C₂×C₄	—	4	1	no	—
1296	C₂×C₄	—	4	1	no	—
1297	C₂×C₄	—	4	1	no	—
1298	C₂×C₄	—	8	2	no	—
1299	C₂×C₄	—	8	2	no	—
1300	C₂×C₄	—	16	1	no	—
1301	C₂×C₄	—	16	1	no	—
1302	C₂×C₄	—	16	1	no	—
1303	C₂×C₄	—	16	1	no	—
1304	C₂×C₄	—	16	1	no	—
1305	C₂×C₄	—	16	1	no	—
1306	C₂×C₄	—	16	1	no	—
1307	C₂×C₄	—	16	1	no	—
1308	C₂×C₄	—	16	1	no	—
1309	C₂×C₄	—	16	1	no	—
1310	C₂×C₄	—	16	1	no	—
1311	C₂×C₄	C₂×#127	1	1	yes	characteristic
1312	C₂×C₄	C₂×#127	1	1	yes	characteristic
1313	C₂×C₄	C₂×#127	1	1	yes	characteristic
1314	C₂×C₄	C₂×#127	1	1	yes	characteristic
1315	C₂×C₄	C₂×#127	1	1	yes	characteristic
1316	C₂×C₄	C₂×#127	1	1	yes	characteristic
1317	C₂×C₄	C₂×#127	1	1	yes	characteristic
1318	C₂×C₄	C₂×#127	1	1	yes	characteristic
1319	C₂×C₄	C₂×#127	1	1	yes	characteristic
1320	C₂×C₄	C₂³×D₄	1	1	yes	characteristic
1321	C₂×C₄	C₂³×D₄	1	1	yes	characteristic
1322	C₂×C₄	C₂³×D₄	1	1	yes	characteristic
1323	C₈	—	2	2	no	—
1324	C₈	—	2	2	no	—
1325	C₈	—	2	2	no	—
1326	C₈	—	2	2	no	—
1327	C₈	—	2	2	no	—
1328	C₈	—	2	2	no	—
1329	C₈	—	2	2	no	—
1330	C₈	—	2	2	no	—
1331	C₈	—	2	2	no	—
1332	C₈	—	2	2	no	—
1333	C₈	#575	1	4	yes	—
1334	C₈	#577	1	4	yes	—
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	—	2	1	no	—
1344	C₂²	—	8	1	no	—
1345	C₂²	—	8	1	no	—
1346	C₂²	—	8	1	no	—
1347	C₂²	—	8	1	no	—
1348	C₂²	—	8	1	no	—
1349	C₂²	—	8	1	no	—
1350	C₂²	—	8	1	no	—
1351	C₂²	—	8	1	no	—
1352	C₂²	—	8	1	no	—
1353	C₂²	—	8	1	no	—
1354	C₂²	—	8	1	no	—
1355	C₂²	—	8	1	no	—
1356	C₂²	—	8	1	no	—
1357	C₂²	—	8	1	no	—
1358	C₂²	—	8	1	no	—
1359	C₂²	—	32	2	no	—
1360	C₂²	—	32	2	no	—
1361	C₂²	C₂²×#127	1	1	yes	characteristic
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	—	8	1	no	—
1372	C₄	—	8	1	no	—
1373	C₄	—	8	1	no	—
1374	C₄	—	8	1	no	—
1375	C₄	—	8	1	no	—
1376	C₄	—	8	1	no	—
1377	C₄	—	8	1	no	—
1378	C₄	—	8	1	no	—
1379	C₄	—	8	1	no	—
1380	C₄	—	8	1	no	—
1381	C₄	—	8	1	no	—
1382	C₄	C₂×#575	1	2	yes	—
1383	C₄	C₂×#577	1	2	yes	—
1384	C₄	#3585	1	2	yes	—
1385	C₂	—	4	1	no	—
1386	C₂	—	4	1	no	—
1387	C₂	—	4	1	no	—
1388	C₂	—	16	1	no	—
1389	C₂	—	16	1	no	—
1390	C₂	—	16	1	no	—
1391	C₂	—	16	1	no	—
1392	C₂	—	16	1	no	—
1393	C₂	#60639	1	1	yes	characteristic
1394	C₂	#60646	1	1	yes	characteristic
1395	C₂	#60650	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 ◁ C₄×#41 ◁ G
LECS	G ▷ C₄² ▷ C₂² ▷ C₁

Complements

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

N	H ≅ G/N	type
1. #62544	C₂	semidirect
2. #62483	C₂	semidirect
3. #62427	C₂	semidirect
4. #62426	C₂	semidirect
5. #60722	C₂	semidirect
6. #60712	C₂	semidirect
7. #19752	C₂	semidirect
8. #19747	C₂	semidirect
9. #19747	C₂	semidirect
10. #19746	C₂	semidirect
11. #19724	C₂	semidirect
12. #19719	C₂	semidirect
13. #19715	C₂	semidirect
14. #19714	C₂	semidirect
15. #19709	C₂	semidirect
16. #19708	C₂	semidirect
17. #19693	C₂	semidirect
18. #19692	C₂	semidirect
19. #19677	C₂	semidirect
20. #19671	C₂	semidirect
21. #19649	C₂	semidirect
22. #19649	C₂	semidirect
23. #19646	C₂	semidirect
24. #19646	C₂	semidirect
25. #19641	C₂	semidirect
26. #19641	C₂	semidirect
27. #19623	C₂	semidirect
28. #19621	C₂	semidirect
29. #19619	C₂	semidirect
30. #19608	C₂	semidirect
31. #17337	C₂	semidirect
52. #3231	C₂²	semidirect
53. #3231	C₂²	semidirect
54. #3231	C₂²	semidirect
55. #3229	C₂²	semidirect
56. #3228	C₂²	semidirect
57. #3228	C₂²	semidirect
58. #3228	C₂²	semidirect
60. #3227	C₂²	semidirect
64. #3210	C₂²	semidirect
65. #3210	C₂²	semidirect
66. #3210	C₂²	semidirect
67. #3208	C₂²	semidirect
68. #3208	C₂²	semidirect
72. #3207	C₂²	semidirect
76. #3185	C₂²	semidirect
77. #3185	C₂²	semidirect
80. #3184	C₂²	semidirect
87. #3182	C₂²	semidirect
88. #3182	C₂²	semidirect
89. #3182	C₂²	semidirect
90. #3182	C₂²	semidirect
91. #3182	C₂²	semidirect
98. #3169	C₂²	semidirect
102. #3167	C₂²	semidirect
103. #3167	C₂²	semidirect
104. #3167	C₂²	semidirect
105. #3167	C₂²	semidirect
106. #3167	C₂²	semidirect
107. #3167	C₂²	semidirect
108. #3165	C₂²	semidirect
109. #3165	C₂²	semidirect
110. #3165	C₂²	semidirect
111. #3160	C₂²	semidirect
112. #3160	C₂²	semidirect
116. #3151	C₂²	semidirect
117. #3151	C₂²	semidirect
119. #3147	C₂²	semidirect
120. C₂×#492	C₂²	semidirect
122. #3139	C₂²	semidirect
123. #3138	C₂²	semidirect
124. #3138	C₂²	semidirect
125. #3131	C₂²	semidirect
126. #3131	C₂²	semidirect
127. C₂×#486	C₂²	semidirect
135. #1723	C₂²	semidirect
136. #1723	C₂²	semidirect
137. #1723	C₂²	semidirect
138. #1722	C₂²	semidirect
143. #1720	C₂²	semidirect
144. #1720	C₂²	semidirect
145. #1720	C₂²	semidirect
146. #1720	C₂²	semidirect
147. #1720	C₂²	semidirect
148. #1720	C₂²	semidirect
149. #1720	C₂²	semidirect
150. #1719	C₂²	semidirect
151. #1719	C₂²	semidirect
152. #1718	C₂²	semidirect
153. #1718	C₂²	semidirect
154. #1718	C₂²	semidirect
158. #1717	C₂²	semidirect
159. #1717	C₂²	semidirect
160. #1717	C₂²	semidirect
161. #1717	C₂²	semidirect
162. #1717	C₂²	semidirect
163. #1716	C₂²	semidirect
164. #1716	C₂²	semidirect
165. #1716	C₂²	semidirect
171. #1714	C₂²	semidirect
172. #1714	C₂²	semidirect
173. #1714	C₂²	semidirect
174. #1714	C₂²	semidirect
175. #1714	C₂²	semidirect
176. #1714	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. #1713	C₂²	semidirect
184. #1711	C₂²	semidirect
185. #1710	C₂²	semidirect
186. #1710	C₂²	semidirect
187. #1708	C₂²	semidirect
188. #1708	C₂²	semidirect
189. #1708	C₂²	semidirect
194. #1706	C₂²	semidirect
195. #1706	C₂²	semidirect
196. #1706	C₂²	semidirect
197. #1705	C₂²	semidirect
198. #1705	C₂²	semidirect
199. #1455	C₂²	semidirect
200. #1455	C₂²	semidirect
201. #1453	C₂²	semidirect
202. #1453	C₂²	semidirect
203. #1452	C₂²	semidirect
204. #1451	C₂²	semidirect
205. #1451	C₂²	semidirect
206. C₈×M₁₆	C₂²	semidirect
207. C₈×M₁₆	C₂²	semidirect
208. C₈×M₁₆	C₂²	semidirect
209. C₈×M₁₆	C₂²	semidirect
210. C₂×#322	C₂²	semidirect

Maximal subgroups

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

subgroup	index
#62544	2
#62483	2
#62427	2
#62426	2
#60722	2
#60712	2
#19752	2
#19747	2
#19746	2
#19724	2
#19719	2
#19715	2
#19714	2
#19709	2
#19708	2
#19693	2
#19692	2
#19677	2
#19671	2
#19649	2
#19646	2
#19641	2
#19623	2
#19621	2
#19619	2
#19608	2
#17337	2