Subgroups — #6357984

Order 512.

2027 conjugacy classes of subgroups.

The subgroup lattice has 1463 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#62546	C₂	1	1	yes	maximal, characteristic, complemented
2	#62427	C₂	1	1	yes	maximal, characteristic, complemented
3	#62423	C₂	1	1	yes	maximal, characteristic, complemented
4	#62423	C₂	1	1	yes	maximal, characteristic, complemented
5	#61011	C₂	1	1	yes	maximal, characteristic, complemented
6	#60822	C₂	1	1	yes	maximal, characteristic, complemented
7	#19750	C₂	1	1	yes	maximal, characteristic, complemented
8	#19745	C₂	1	1	yes	maximal, characteristic, complemented
9	#19743	C₂	1	1	yes	maximal, characteristic, complemented
10	#19737	C₂	1	1	yes	maximal, characteristic, complemented
11	#19735	C₂	1	1	yes	maximal, characteristic, complemented
12	#19735	C₂	1	1	yes	maximal, characteristic, complemented
13	#19729	C₂	1	1	yes	maximal, characteristic, complemented
14	#19727	C₂	1	1	yes	maximal, characteristic, complemented
15	#19727	C₂	1	1	yes	maximal, characteristic, complemented
16	#19722	C₂	1	1	yes	maximal, characteristic, complemented
17	#19719	C₂	1	1	yes	maximal, characteristic, complemented
18	#19713	C₂	1	1	yes	maximal, characteristic, complemented
19	#19708	C₂	1	1	yes	maximal, characteristic, complemented
20	#19698	C₂	1	1	yes	maximal, characteristic, complemented
21	#19694	C₂	1	1	yes	maximal, characteristic, complemented
22	#19689	C₂	1	1	yes	maximal, characteristic, complemented
23	#19676	C₂	1	1	yes	maximal, characteristic, complemented
24	#19673	C₂	1	1	yes	maximal, characteristic, complemented
25	#19665	C₂	1	1	yes	maximal, characteristic, complemented
26	#19661	C₂	1	1	yes	maximal, characteristic, complemented
27	#19650	C₂	1	1	yes	maximal, characteristic, complemented
28	#19647	C₂	1	1	yes	maximal, characteristic, complemented
29	#19631	C₂	1	1	yes	maximal, characteristic, complemented
30	#19629	C₂	1	1	yes	maximal, characteristic, complemented
31	#17340	C₂	1	1	yes	maximal, characteristic, complemented
32	#3511	C₂²	1	1	yes	characteristic
33	#3508	C₂²	1	1	yes	characteristic
34	#3508	C₂²	1	1	yes	characteristic
35	#3498	C₂²	1	1	yes	characteristic
36	#3401	—	2	2	no	—
37	#3399	—	2	2	no	—
38	#3399	—	2	2	no	—
39	#3370	—	2	2	no	—
40	#3322	—	2	2	no	—
41	#3319	—	2	2	no	—
42	#3309	—	2	2	no	—
43	#3275	—	2	2	no	—
44	#3274	—	2	2	no	—
45	#3274	—	2	2	no	—
46	#3271	—	2	2	no	—
47	#3267	—	2	2	no	—
48	#3264	—	2	2	no	—
49	#3264	—	2	2	no	—
50	#3264	—	2	2	no	—
51	#3264	—	2	2	no	—
52	#3259	—	2	2	no	—
53	#3231	C₂²	1	1	yes	characteristic, complemented
54	#3228	C₂²	1	1	yes	characteristic, complemented
55	#3228	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	#3226	C₂²	1	1	yes	characteristic, complemented
60	#3224	—	2	2	no	—
61	#3224	—	2	2	no	—
62	#3210	C₂²	1	1	yes	characteristic, complemented
63	#3210	C₂²	1	1	yes	characteristic, complemented
64	#3210	C₂²	1	1	yes	characteristic, complemented
65	#3210	C₂²	1	1	yes	characteristic, complemented
66	#3208	C₂²	1	1	yes	characteristic, complemented
67	#3208	C₂²	1	1	yes	characteristic, complemented
68	#3208	C₂²	1	1	yes	characteristic, complemented
69	#3208	C₂²	1	1	yes	characteristic, complemented
70	#3208	C₂²	1	1	yes	characteristic, complemented
71	#3207	C₂²	1	1	yes	characteristic
72	#3207	C₂²	1	1	yes	characteristic
73	#3207	C₂²	1	1	yes	characteristic, complemented
74	#3207	C₂²	1	1	yes	characteristic, complemented
75	#3207	C₂²	1	1	yes	characteristic, complemented
76	#3207	C₂²	1	1	yes	characteristic, complemented
77	#3207	C₂²	1	1	yes	characteristic, complemented
78	#3207	C₂²	1	1	yes	characteristic, complemented
79	#3207	C₂²	1	1	yes	characteristic, complemented
80	#3207	C₂²	1	1	yes	characteristic, complemented
81	#3206	C₂²	1	1	yes	characteristic, complemented
82	#3205	C₂²	1	1	yes	characteristic
83	#3205	C₂²	1	1	yes	characteristic
84	#3205	C₂²	1	1	yes	characteristic, complemented
85	#3205	C₂²	1	1	yes	characteristic, complemented
86	#3205	C₂²	1	1	yes	characteristic, complemented
87	#3205	C₂²	1	1	yes	characteristic, complemented
88	#3205	C₂²	1	1	yes	characteristic, complemented
89	#3205	C₂²	1	1	yes	characteristic, complemented
90	#3205	C₂²	1	1	yes	characteristic, complemented
91	#3205	C₂²	1	1	yes	characteristic, complemented
92	#3205	C₂²	1	1	yes	characteristic, complemented
93	#3205	C₂²	1	1	yes	characteristic, complemented
94	#3205	C₂²	1	1	yes	characteristic, complemented
95	#3199	—	2	2	no	—
96	#3185	C₂²	1	1	yes	characteristic, complemented
97	#3184	C₂²	1	1	yes	characteristic
98	#3184	C₂²	1	1	yes	characteristic
99	#3184	C₂²	1	1	yes	characteristic, complemented
100	#3184	C₂²	1	1	yes	characteristic, complemented
101	#3184	C₂²	1	1	yes	characteristic, complemented
102	#3184	C₂²	1	1	yes	characteristic, complemented
103	#3184	C₂²	1	1	yes	characteristic, complemented
104	#3184	C₂²	1	1	yes	characteristic, complemented
105	#3182	C₂²	1	1	yes	characteristic, complemented
106	#3169	C₂²	1	1	yes	characteristic, complemented
107	#3169	C₂²	1	1	yes	characteristic, complemented
108	#3169	C₂²	1	1	yes	characteristic, complemented
109	#3167	C₂²	1	1	yes	characteristic, complemented
110	#3167	C₂²	1	1	yes	characteristic, complemented
111	#3167	C₂²	1	1	yes	characteristic, complemented
112	#3152	C₂²	1	1	yes	characteristic, complemented
113	#3151	C₂²	1	1	yes	characteristic
114	#3151	C₂²	1	1	yes	characteristic
115	#3151	C₂²	1	1	yes	characteristic, complemented
116	#3151	C₂²	1	1	yes	characteristic, complemented
117	#3151	C₂²	1	1	yes	characteristic, complemented
118	#3151	C₂²	1	1	yes	characteristic, complemented
119	#3147	C₂²	1	1	yes	characteristic, complemented
120	#3147	C₂²	1	1	yes	characteristic, complemented
121	C₂×#493	C₂²	1	1	yes	characteristic, complemented
122	C₂×#493	C₂²	1	1	yes	characteristic, complemented
123	#3141	C₂²	1	1	yes	characteristic, complemented
124	#3141	C₂²	1	1	yes	characteristic, complemented
125	#3138	C₂²	1	1	yes	characteristic, complemented
126	#3131	C₂²	1	1	yes	characteristic, complemented
127	C₂×#486	C₂²	1	1	yes	characteristic, complemented
128	#3122	—	2	2	no	—
129	#3122	—	2	2	no	—
130	#3045	—	2	2	no	—
131	#3012	—	2	2	no	—
132	#2965	C₂²	1	1	yes	characteristic
133	#2965	C₂²	1	1	yes	characteristic
134	#2922	C₂²	1	1	yes	characteristic
135	#1722	C₂²	1	1	yes	characteristic, complemented
136	#1722	C₂²	1	1	yes	characteristic, complemented
137	#1721	C₂²	1	1	yes	characteristic, complemented
138	#1721	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	#1721	C₂²	1	1	yes	characteristic, complemented
148	#1721	C₂²	1	1	yes	characteristic, complemented
149	#1721	C₂²	1	1	yes	characteristic, complemented
150	#1721	C₂²	1	1	yes	characteristic, complemented
151	#1721	C₂²	1	1	yes	characteristic, complemented
152	#1721	C₂²	1	1	yes	characteristic, complemented
153	#1720	C₂²	1	1	yes	characteristic, complemented
154	#1720	C₂²	1	1	yes	characteristic, complemented
155	#1720	C₂²	1	1	yes	characteristic, complemented
156	#1720	C₂²	1	1	yes	characteristic, complemented
157	#1719	C₂²	1	1	yes	characteristic, complemented
158	#1719	C₂²	1	1	yes	characteristic, complemented
159	#1719	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	#1717	C₂²	1	1	yes	characteristic, complemented
172	#1717	C₂²	1	1	yes	characteristic, complemented
173	#1716	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	#1715	C₂²	1	1	yes	characteristic, complemented
178	#1715	C₂²	1	1	yes	characteristic, complemented
179	#1715	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	#1712	C₂²	1	1	yes	characteristic, complemented
185	#1712	C₂²	1	1	yes	characteristic, complemented
186	#1711	C₂²	1	1	yes	characteristic, complemented
187	#1709	C₂²	1	1	yes	characteristic, complemented
188	#1709	C₂²	1	1	yes	characteristic, complemented
189	#1709	C₂²	1	1	yes	characteristic, complemented
190	#1709	C₂²	1	1	yes	characteristic, complemented
191	#1708	C₂²	1	1	yes	characteristic, complemented
192	#1708	C₂²	1	1	yes	characteristic, complemented
193	#1707	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	#1454	C₂²	1	1	yes	characteristic, complemented
201	#1454	C₂²	1	1	yes	characteristic, complemented
202	#1453	C₂²	1	1	yes	characteristic, complemented
203	#1453	C₂²	1	1	yes	characteristic, complemented
204	#1453	C₂²	1	1	yes	characteristic, complemented
205	#1452	C₂²	1	1	yes	characteristic, complemented
206	#1451	C₂²	1	1	yes	characteristic, complemented
207	#1451	C₂²	1	1	yes	characteristic, complemented
208	#1450	C₂²	1	1	yes	characteristic, complemented
209	C₈×M₁₆	C₂²	1	1	yes	characteristic, complemented
210	C₈×M₁₆	C₂²	1	1	yes	characteristic, complemented
211	C₂×H(5,𝔽₂)	—	2	1	no	—
212	C₂×#137	—	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×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	C₂×#135	—	2	2	no	—
220	C₂×#135	—	2	2	no	—
221	C₂²×D₈	—	2	2	no	—
222	C₂²×D₈	—	2	2	no	—
223	#559	—	2	1	no	—
224	#559	—	2	1	no	—
225	#559	—	2	1	no	—
226	#559	—	2	1	no	—
227	#556	—	2	1	no	—
228	#555	—	2	1	no	—
229	#554	—	2	1	no	—
230	#553	—	2	1	no	—
231	#553	—	2	1	no	—
232	#550	—	2	1	no	—
233	#550	—	2	1	no	—
234	#550	—	2	1	no	—
235	#550	—	2	1	no	—
236	#550	—	2	1	no	—
237	#550	—	2	1	no	—
238	#548	—	2	1	no	—
239	#548	—	2	1	no	—
240	#547	—	2	1	no	—
241	#546	—	2	1	no	—
242	#546	—	2	1	no	—
243	#546	—	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	D₄²	—	2	1	no	—
250	D₄²	—	2	1	no	—
251	D₄²	—	2	1	no	—
252	D₄²	—	2	1	no	—
253	D₄²	—	2	1	no	—
254	D₄²	—	2	1	no	—
255	#542	—	2	1	no	—
256	#542	—	2	1	no	—
257	#540	—	2	1	no	—
258	#540	—	2	1	no	—
259	#540	—	2	1	no	—
260	#540	—	2	1	no	—
261	#537	—	2	1	no	—
262	#535	—	2	1	no	—
263	#535	—	2	1	no	—
264	#535	—	2	1	no	—
265	#535	—	2	1	no	—
266	#535	—	2	1	no	—
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	#532	C₂³	1	1	yes	characteristic
272	#532	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	#532	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	C₂×#127	C₂³	1	1	yes	characteristic
289	C₂×#127	C₂³	1	1	yes	characteristic
290	C₂×#127	C₂³	1	1	yes	characteristic
291	#520	—	2	1	no	—
292	#518	—	2	1	no	—
293	#518	—	2	1	no	—
294	C₄×#41	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	#498	C₂³	1	1	yes	characteristic
300	#498	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	#497	—	2	2	no	—
306	#496	—	2	2	no	—
307	#496	—	2	2	no	—
308	#496	—	2	2	no	—
309	#496	—	2	2	no	—
310	#496	—	2	2	no	—
311	#496	—	2	2	no	—
312	#495	—	2	2	no	—
313	#495	—	2	2	no	—
314	#494	C₂³	1	1	yes	characteristic
315	#494	C₂³	1	1	yes	characteristic
316	#494	C₂³	1	1	yes	characteristic
317	#493	—	2	2	no	—
318	#493	—	2	2	no	—
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	#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	#493	C₂³	1	1	yes	characteristic
340	#493	C₂³	1	1	yes	characteristic
341	#493	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	#490	—	2	2	no	—
359	#489	—	2	2	no	—
360	#489	—	2	2	no	—
361	#488	—	2	2	no	—
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	#486	—	2	2	no	—
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	#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	#485	—	2	2	no	—
408	#482	—	2	2	no	—
409	#482	—	2	2	no	—
410	#482	—	2	2	no	—
411	#482	—	2	2	no	—
412	#482	—	2	2	no	—
413	#480	—	2	2	no	—
414	#479	—	2	2	no	—
415	#478	—	2	2	no	—
416	#478	—	2	2	no	—
417	#478	—	2	2	no	—
418	#478	—	2	2	no	—
419	#478	—	2	2	no	—
420	#474	—	2	2	no	—
421	#470	—	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	#469	—	2	2	no	—
428	#469	—	2	2	no	—
429	#469	—	2	2	no	—
430	#468	—	2	2	no	—
431	#466	—	2	2	no	—
432	#466	—	2	2	no	—
433	#466	—	2	2	no	—
434	#465	—	2	2	no	—
435	#465	—	2	2	no	—
436	#465	—	2	2	no	—
437	#464	—	2	2	no	—
438	#464	—	2	2	no	—
439	#464	—	2	2	no	—
440	#464	—	2	2	no	—
441	#463	—	2	2	no	—
442	#463	—	2	2	no	—
443	#463	—	2	2	no	—
444	#463	—	2	2	no	—
445	#463	—	2	2	no	—
446	#463	—	2	2	no	—
447	#463	—	2	2	no	—
448	#463	—	2	2	no	—
449	#463	—	2	2	no	—
450	#463	—	2	2	no	—
451	#461	—	2	2	no	—
452	#460	—	2	2	no	—
453	#460	—	2	2	no	—
454	#460	—	2	2	no	—
455	#460	—	2	2	no	—
456	#460	—	2	2	no	—
457	#459	—	2	2	no	—
458	#459	—	2	2	no	—
459	#459	—	2	2	no	—
460	#459	—	2	2	no	—
461	#459	—	2	2	no	—
462	#459	—	2	2	no	—
463	#459	—	2	2	no	—
464	#459	—	2	2	no	—
465	#459	—	2	2	no	—
466	#459	—	2	2	no	—
467	#459	—	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	#450	—	2	2	no	—
475	#450	—	2	2	no	—
476	#450	—	2	2	no	—
477	#450	—	2	2	no	—
478	#450	—	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	#449	—	2	2	no	—
487	#449	—	2	2	no	—
488	#449	—	2	2	no	—
489	#448	—	2	2	no	—
490	#447	—	2	2	no	—
491	#447	—	2	2	no	—
492	#447	—	2	2	no	—
493	#447	—	2	2	no	—
494	#447	—	2	2	no	—
495	#447	—	2	2	no	—
496	#447	—	2	2	no	—
497	#447	—	2	2	no	—
498	#447	—	2	2	no	—
499	#447	—	2	2	no	—
500	#447	—	2	2	no	—
501	#447	—	2	2	no	—
502	#447	—	2	2	no	—
503	#446	D₄	1	2	yes	—
504	#446	D₄	1	2	yes	—
505	#442	—	2	2	no	—
506	#442	—	2	2	no	—
507	#442	—	2	2	no	—
508	#442	—	2	2	no	—
509	#442	—	2	2	no	—
510	#442	—	2	2	no	—
511	#442	—	2	2	no	—
512	#442	—	2	2	no	—
513	#441	—	2	2	no	—
514	#440	—	2	2	no	—
515	C₄×SD₁₆	—	2	2	no	—
516	C₄×SD₁₆	—	2	2	no	—
517	C₄×SD₁₆	—	2	2	no	—
518	C₄×D₈	—	2	2	no	—
519	C₄×D₈	—	2	2	no	—
520	C₄×D₈	—	2	2	no	—
521	#436	D₄	1	2	yes	—
522	#436	D₄	1	2	yes	—
523	#435	D₄	1	2	yes	—
524	#435	D₄	1	2	yes	—
525	#435	D₄	1	2	yes	—
526	#435	D₄	1	2	yes	—
527	#433	D₄	1	2	yes	—
528	#433	D₄	1	2	yes	—
529	#431	C₂³	1	1	yes	characteristic
530	#431	C₂³	1	1	yes	characteristic
531	#431	C₂³	1	1	yes	characteristic
532	#431	C₂³	1	1	yes	characteristic
533	#431	C₂³	1	1	yes	characteristic
534	#431	C₂³	1	1	yes	characteristic
535	#431	C₂³	1	1	yes	characteristic
536	#431	C₂³	1	1	yes	characteristic
537	#431	C₂³	1	1	yes	characteristic
538	#431	C₂³	1	1	yes	characteristic
539	#424	D₄	1	2	yes	—
540	#418	—	2	2	no	—
541	#417	—	2	2	no	—
542	#417	—	2	2	no	—
543	#416	—	2	2	no	—
544	C₂×#102	—	2	2	no	—
545	#408	D₄	1	2	yes	—
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×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	H(5,𝔽₂)	—	8	4	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	—	2	1	no	—
585	C₂×#41	—	4	1	no	—
586	C₂×#41	C₂×D₄	1	1	yes	characteristic
587	C₂²×Q₈	—	2	1	no	—
588	C₂²×D₄	—	2	1	no	—
589	C₂²×D₄	—	2	1	no	—
590	C₂²×D₄	—	2	1	no	—
591	C₂²×D₄	—	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	—	2	1	no	—
599	C₂²×D₄	—	2	1	no	—
600	C₂²×D₄	—	2	1	no	—
601	C₂²×D₄	—	2	1	no	—
602	C₂²×D₄	—	2	1	no	—
603	C₂²×D₄	—	4	1	no	—
604	C₂²×D₄	—	4	1	no	—
605	C₂²×D₄	—	4	1	no	—
606	#137	—	8	4	no	—
607	AGL(1,ℤ/8)	—	8	4	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	AGL(1,ℤ/8)	—	8	4	no	—
612	AGL(1,ℤ/8)	—	8	4	no	—
613	#135	—	8	4	no	—
614	#135	—	8	4	no	—
615	C₂×Q₁₆	—	2	2	no	—
616	C₂×Q₁₆	—	2	2	no	—
617	C₂×Q₁₆	—	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×SD₁₆	—	2	2	no	—
631	C₂×SD₁₆	—	2	2	no	—
632	C₂×SD₁₆	—	2	2	no	—
633	C₂×SD₁₆	—	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×D₈	—	2	2	no	—
644	C₂×D₈	—	2	2	no	—
645	C₂×D₈	—	2	2	no	—
646	C₂×D₈	—	2	2	no	—
647	C₂×D₈	—	2	2	no	—
648	C₂×D₈	—	2	2	no	—
649	C₂×D₈	—	2	2	no	—
650	C₂×D₈	—	2	2	no	—
651	C₂×D₈	—	2	2	no	—
652	C₂×D₈	—	2	2	no	—
653	C₂×D₈	—	2	2	no	—
654	C₂×D₈	—	2	2	no	—
655	C₂×D₈	—	2	2	no	—
656	C₂×D₈	—	2	2	no	—
657	C₂×D₈	—	8	4	no	—
658	C₂×D₈	—	8	4	no	—
659	C₂×M₁₆	C₂×D₄	1	2	yes	—
660	C₂×M₁₆	C₂×D₄	1	2	yes	—
661	C₂×M₁₆	C₂×D₄	1	2	yes	—
662	C₂×M₁₆	C₂×D₄	1	2	yes	—
663	C₂×M₁₆	C₂×D₄	1	2	yes	—
664	C₂²×C₈	C₂×D₄	1	2	yes	—
665	C₂²×C₈	C₂×D₄	1	2	yes	—
666	C₂²×C₈	C₂×D₄	1	2	yes	—
667	C₄⋊Q₈	—	2	1	no	—
668	C₄⋊Q₈	—	2	1	no	—
669	C₄⋊Q₈	—	2	1	no	—
670	C₄⋊Q₈	C₂⁴	1	1	yes	characteristic
671	C₄⋊Q₈	C₂⁴	1	1	yes	characteristic
672	C₄⋊Q₈	C₂⁴	1	1	yes	characteristic
673	C₄⋊Q₈	C₂⁴	1	1	yes	characteristic
674	C₄⋊Q₈	C₂⁴	1	1	yes	characteristic
675	C₄⋊Q₈	C₂⁴	1	1	yes	characteristic
676	C₄⋊Q₈	C₂⁴	1	1	yes	characteristic
677	C₄⋊Q₈	C₂⁴	1	1	yes	characteristic
678	#127	—	2	1	no	—
679	#127	—	2	1	no	—
680	#127	—	2	1	no	—
681	#127	—	2	1	no	—
682	#127	—	2	1	no	—
683	#127	—	2	1	no	—
684	#127	—	2	1	no	—
685	#127	—	2	1	no	—
686	#127	—	2	1	no	—
687	#127	—	2	1	no	—
688	#127	—	2	1	no	—
689	#127	—	2	1	no	—
690	#127	—	2	1	no	—
691	#127	—	2	1	no	—
692	#127	—	2	1	no	—
693	#127	—	4	1	no	—
694	#127	—	4	1	no	—
695	#127	C₂⁴	1	1	yes	characteristic
696	#127	C₂⁴	1	1	yes	characteristic
697	#127	C₂⁴	1	1	yes	characteristic
698	#127	C₂⁴	1	1	yes	characteristic
699	#127	C₂⁴	1	1	yes	characteristic
700	#127	C₂⁴	1	1	yes	characteristic
701	#127	C₂⁴	1	1	yes	characteristic
702	#127	C₂⁴	1	1	yes	characteristic
703	#126	—	4	1	no	—
704	#126	—	4	1	no	—
705	#125	—	2	1	no	—
706	#125	—	2	1	no	—
707	#125	—	2	1	no	—
708	#125	—	2	1	no	—
709	#124	—	2	1	no	—
710	#124	—	2	1	no	—
711	#124	—	2	1	no	—
712	#124	—	2	1	no	—
713	#124	—	2	1	no	—
714	#124	—	2	1	no	—
715	#124	—	2	1	no	—
716	#124	—	2	1	no	—
717	#124	—	2	1	no	—
718	#124	—	2	1	no	—
719	#124	—	2	1	no	—
720	#124	—	2	1	no	—
721	#124	—	2	1	no	—
722	#124	—	2	1	no	—
723	#124	—	4	1	no	—
724	#124	—	4	1	no	—
725	#124	—	4	1	no	—
726	#124	—	4	1	no	—
727	#123	—	4	1	no	—
728	#123	—	4	1	no	—
729	#123	—	4	1	no	—
730	#123	—	4	1	no	—
731	#123	—	4	1	no	—
732	#123	—	4	1	no	—
733	#123	—	4	1	no	—
734	#123	—	4	1	no	—
735	#123	—	4	1	no	—
736	#123	—	4	1	no	—
737	C₂²⋊Q₈	—	2	1	no	—
738	C₂²⋊Q₈	—	2	1	no	—
739	C₂²⋊Q₈	—	2	1	no	—
740	C₂²⋊Q₈	—	2	1	no	—
741	C₂²⋊Q₈	—	2	1	no	—
742	C₂²⋊Q₈	—	2	1	no	—
743	C₂²⋊Q₈	—	2	1	no	—
744	C₂²⋊Q₈	—	2	1	no	—
745	C₂²⋊Q₈	—	4	1	no	—
746	C₂²⋊Q₈	—	4	1	no	—
747	C₂²⋊Q₈	—	4	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	—	2	1	no	—
763	#121	—	2	1	no	—
764	#121	—	2	1	no	—
765	#121	—	2	1	no	—
766	#121	—	2	1	no	—
767	#121	—	2	1	no	—
768	#121	—	2	1	no	—
769	#121	—	2	1	no	—
770	#121	—	2	1	no	—
771	#121	—	2	1	no	—
772	#121	—	2	1	no	—
773	#121	—	2	1	no	—
774	#121	—	2	1	no	—
775	#121	—	2	1	no	—
776	#121	—	4	1	no	—
777	#121	—	4	1	no	—
778	#121	—	4	1	no	—
779	#121	—	4	1	no	—
780	#121	—	4	1	no	—
781	#121	—	4	1	no	—
782	#121	—	4	1	no	—
783	#121	—	4	1	no	—
784	#121	—	4	1	no	—
785	#121	—	4	1	no	—
786	#121	—	4	1	no	—
787	#121	—	4	1	no	—
788	#121	—	4	1	no	—
789	#121	—	4	1	no	—
790	#121	—	4	1	no	—
791	#121	—	4	1	no	—
792	#121	—	4	1	no	—
793	#120	—	4	1	no	—
794	#120	—	4	1	no	—
795	#120	—	4	1	no	—
796	#120	—	4	1	no	—
797	#120	—	4	1	no	—
798	#120	—	4	1	no	—
799	#120	—	4	1	no	—
800	#120	—	4	1	no	—
801	#120	—	4	1	no	—
802	#120	—	4	1	no	—
803	C₄×Q₈	—	2	1	no	—
804	C₄×Q₈	—	2	1	no	—
805	C₄×Q₈	—	2	1	no	—
806	C₄×Q₈	—	2	1	no	—
807	C₄×Q₈	—	2	1	no	—
808	C₄×Q₈	—	2	1	no	—
809	C₄×Q₈	—	2	1	no	—
810	C₄×Q₈	—	2	1	no	—
811	C₄×Q₈	C₂×D₄	1	1	yes	characteristic
812	C₄×Q₈	C₂×D₄	1	1	yes	characteristic
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	—	2	1	no	—
822	C₄×D₄	—	2	1	no	—
823	C₄×D₄	—	2	1	no	—
824	C₄×D₄	—	2	1	no	—
825	C₄×D₄	—	2	1	no	—
826	C₄×D₄	—	2	1	no	—
827	C₄×D₄	—	2	1	no	—
828	C₄×D₄	—	2	1	no	—
829	C₄×D₄	—	2	1	no	—
830	C₄×D₄	—	2	1	no	—
831	C₄×D₄	—	2	1	no	—
832	C₄×D₄	—	2	1	no	—
833	C₄×D₄	—	2	1	no	—
834	C₄×D₄	—	2	1	no	—
835	C₄×D₄	—	2	1	no	—
836	C₄×D₄	—	2	1	no	—
837	C₄×D₄	—	2	1	no	—
838	C₄×D₄	—	2	1	no	—
839	C₄×D₄	—	2	1	no	—
840	C₄×D₄	—	2	1	no	—
841	C₄×D₄	—	4	1	no	—
842	C₄×D₄	—	4	1	no	—
843	C₄×D₄	—	4	1	no	—
844	C₄×D₄	—	4	1	no	—
845	C₄×D₄	—	4	1	no	—
846	C₄×D₄	—	4	1	no	—
847	C₄×D₄	C₂×D₄	1	1	yes	characteristic
848	C₄×D₄	C₂×D₄	1	1	yes	characteristic
849	C₄×D₄	C₂×D₄	1	1	yes	characteristic
850	C₄×D₄	C₂×D₄	1	1	yes	characteristic
851	C₄×D₄	C₂×D₄	1	1	yes	characteristic
852	C₄×D₄	C₂×D₄	1	1	yes	characteristic
853	#117	—	2	1	no	—
854	#117	—	2	1	no	—
855	#117	—	2	1	no	—
856	#117	—	2	1	no	—
857	#117	—	4	1	no	—
858	#117	C₂×D₄	1	1	yes	characteristic
859	#117	C₂×D₄	1	1	yes	characteristic
860	#117	C₂×D₄	1	1	yes	characteristic
861	C₂×C₄⋊C₄	—	2	1	no	—
862	C₂×C₄⋊C₄	—	2	1	no	—
863	C₂×C₄⋊C₄	—	4	1	no	—
864	C₂×C₂²⋊C₄	—	4	1	no	—
865	C₂×C₂²⋊C₄	—	4	1	no	—
866	C₂×C₂²⋊C₄	—	4	1	no	—
867	C₂×C₂²⋊C₄	—	4	1	no	—
868	C₂×C₄²	C₂⁴	1	1	yes	characteristic
869	C₂×C₄²	C₂⁴	1	1	yes	characteristic
870	C₂×C₄²	C₂⁴	1	1	yes	characteristic
871	#107	—	2	2	no	—
872	#107	—	2	2	no	—
873	#107	—	2	2	no	—
874	#107	—	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	C₄⋊C₈	C₂×D₄	1	2	yes	—
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	C₄⋊C₈	C₂×D₄	1	2	yes	—
889	C₄⋊C₈	C₂×D₄	1	2	yes	—
890	C₄⋊C₈	C₂×D₄	1	2	yes	—
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	#102	—	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	#102	—	2	2	no	—
933	#102	—	2	2	no	—
934	#102	—	2	2	no	—
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	C₂²⋊C₈	C₂×D₄	1	2	yes	—
941	C₂²⋊C₈	C₂×D₄	1	2	yes	—
942	C₂²⋊C₈	C₂×D₄	1	2	yes	—
943	C₂²⋊C₈	C₂×D₄	1	2	yes	—
944	C₂²⋊C₈	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	#97	C₂×D₄	1	2	yes	—
949	#97	C₂×D₄	1	2	yes	—
950	C₄×C₈	C₂×D₄	1	2	yes	—
951	C₄×C₈	C₂×D₄	1	2	yes	—
952	C₄×C₈	C₂×D₄	1	2	yes	—
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	C₄×C₈	C₂⁴	1	1	yes	characteristic
963	C₄×C₈	C₂⁴	1	1	yes	characteristic
964	C₄×C₈	C₂⁴	1	1	yes	characteristic
965	C₂⁴	—	4	1	no	—
966	C₂⁴	—	4	1	no	—
967	C₂⁴	—	4	1	no	—
968	C₂⁴	—	4	1	no	—
969	C₂⁴	—	4	1	no	—
970	#41	—	4	2	no	—
971	#41	—	4	4	no	—
972	#41	—	4	4	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	2	no	—
980	#41	—	8	2	no	—
981	#41	—	8	2	no	—
982	#41	—	8	2	no	—
983	#41	—	8	2	no	—
984	#41	—	8	2	no	—
985	#41	—	8	4	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	—	2	1	no	—
994	C₂×Q₈	—	4	1	no	—
995	C₂×Q₈	—	8	2	no	—
996	C₂×Q₈	#127	1	1	yes	characteristic
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	—	2	1	no	—
1016	C₂×D₄	—	2	1	no	—
1017	C₂×D₄	—	2	1	no	—
1018	C₂×D₄	—	2	1	no	—
1019	C₂×D₄	—	2	1	no	—
1020	C₂×D₄	—	2	1	no	—
1021	C₂×D₄	—	4	4	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	—	4	1	no	—
1040	C₂×D₄	—	4	1	no	—
1041	C₂×D₄	—	4	1	no	—
1042	C₂×D₄	—	4	1	no	—
1043	C₂×D₄	—	4	1	no	—
1044	C₂×D₄	—	4	1	no	—
1045	C₂×D₄	—	4	1	no	—
1046	C₂×D₄	—	4	1	no	—
1047	C₂×D₄	—	4	1	no	—
1048	C₂×D₄	—	4	1	no	—
1049	C₂×D₄	—	4	1	no	—
1050	C₂×D₄	—	4	1	no	—
1051	C₂×D₄	—	8	2	no	—
1052	C₂×D₄	—	8	2	no	—
1053	C₂×D₄	—	8	2	no	—
1054	C₂×D₄	—	8	2	no	—
1055	C₂×D₄	—	8	2	no	—
1056	C₂×D₄	—	8	2	no	—
1057	C₂×D₄	—	8	2	no	—
1058	C₂×D₄	—	8	2	no	—
1059	C₂×D₄	—	8	2	no	—
1060	C₂×D₄	—	8	2	no	—
1061	C₂×D₄	—	8	2	no	—
1062	C₂×D₄	—	8	2	no	—
1063	C₂×D₄	—	8	2	no	—
1064	C₂×D₄	—	8	2	no	—
1065	C₂×D₄	—	8	4	no	—
1066	C₂×D₄	—	8	4	no	—
1067	C₂×D₄	—	8	4	no	—
1068	C₂×D₄	#127	1	1	yes	characteristic
1069	C₂×D₄	#127	1	1	yes	characteristic
1070	C₂×D₄	#127	1	1	yes	characteristic
1071	C₂²×C₄	—	4	1	no	—
1072	C₂²×C₄	—	4	1	no	—
1073	C₂²×C₄	—	4	1	no	—
1074	C₂²×C₄	—	4	1	no	—
1075	C₂²×C₄	—	4	1	no	—
1076	C₂²×C₄	—	4	1	no	—
1077	C₂²×C₄	—	4	1	no	—
1078	C₂²×C₄	—	4	1	no	—
1079	C₂²×C₄	—	4	1	no	—
1080	C₂²×C₄	—	4	1	no	—
1081	C₂²×C₄	—	4	1	no	—
1082	C₂²×C₄	—	4	1	no	—
1083	C₂²×C₄	—	4	1	no	—
1084	C₂²×C₄	—	4	1	no	—
1085	C₂²×C₄	—	4	1	no	—
1086	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1087	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1088	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1089	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1090	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1091	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1092	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1093	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1094	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1095	Q₁₆	—	4	4	no	—
1096	Q₁₆	—	8	2	no	—
1097	Q₁₆	—	8	2	no	—
1098	SD₁₆	—	4	4	no	—
1099	SD₁₆	—	4	4	no	—
1100	SD₁₆	—	4	4	no	—
1101	SD₁₆	—	8	2	no	—
1102	SD₁₆	—	8	2	no	—
1103	SD₁₆	—	8	2	no	—
1104	SD₁₆	—	8	2	no	—
1105	SD₁₆	—	8	2	no	—
1106	SD₁₆	—	8	2	no	—
1107	SD₁₆	—	8	2	no	—
1108	SD₁₆	—	8	2	no	—
1109	SD₁₆	—	8	2	no	—
1110	SD₁₆	—	8	2	no	—
1111	SD₁₆	—	8	2	no	—
1112	SD₁₆	—	8	2	no	—
1113	SD₁₆	—	8	2	no	—
1114	D₈	—	4	4	no	—
1115	D₈	—	4	4	no	—
1116	D₈	—	4	4	no	—
1117	D₈	—	4	4	no	—
1118	D₈	—	4	4	no	—
1119	D₈	—	8	2	no	—
1120	D₈	—	8	2	no	—
1121	D₈	—	8	2	no	—
1122	D₈	—	8	2	no	—
1123	D₈	—	8	2	no	—
1124	D₈	—	8	2	no	—
1125	D₈	—	8	2	no	—
1126	D₈	—	8	2	no	—
1127	D₈	—	8	2	no	—
1128	D₈	—	8	2	no	—
1129	D₈	—	8	2	no	—
1130	D₈	—	8	2	no	—
1131	D₈	—	8	2	no	—
1132	D₈	—	8	2	no	—
1133	D₈	—	8	2	no	—
1134	D₈	—	8	2	no	—
1135	D₈	—	8	2	no	—
1136	D₈	—	8	2	no	—
1137	M₁₆	—	2	4	no	—
1138	M₁₆	—	2	4	no	—
1139	M₁₆	—	4	2	no	—
1140	M₁₆	—	4	2	no	—
1141	M₁₆	—	4	2	no	—
1142	C₂×C₈	—	2	4	no	—
1143	C₂×C₈	—	4	2	no	—
1144	C₂×C₈	—	4	2	no	—
1145	C₂×C₈	C₂²×D₄	1	2	yes	—
1146	C₂×C₈	C₂²×D₄	1	2	yes	—
1147	C₂×C₈	C₂²×D₄	1	2	yes	—
1148	C₂×C₈	C₂²×D₄	1	2	yes	—
1149	C₂×C₈	C₂²×D₄	1	2	yes	—
1150	C₂×C₈	C₂²×D₄	1	2	yes	—
1151	C₂×C₈	C₂²×D₄	1	2	yes	—
1152	C₂×C₈	C₂²×D₄	1	2	yes	—
1153	C₂×C₈	C₂²×D₄	1	2	yes	—
1154	C₂×C₈	C₂²×D₄	1	2	yes	—
1155	C₂×C₈	C₂²×D₄	1	2	yes	—
1156	C₂×C₈	C₂²×D₄	1	2	yes	—
1157	C₄⋊C₄	—	2	1	no	—
1158	C₄⋊C₄	—	2	1	no	—
1159	C₄⋊C₄	—	2	1	no	—
1160	C₄⋊C₄	—	2	1	no	—
1161	C₄⋊C₄	—	2	1	no	—
1162	C₄⋊C₄	—	2	1	no	—
1163	C₄⋊C₄	—	2	1	no	—
1164	C₄⋊C₄	—	2	1	no	—
1165	C₄⋊C₄	—	2	1	no	—
1166	C₄⋊C₄	—	2	1	no	—
1167	C₄⋊C₄	—	2	1	no	—
1168	C₄⋊C₄	—	2	1	no	—
1169	C₄⋊C₄	—	2	1	no	—
1170	C₄⋊C₄	—	2	1	no	—
1171	C₄⋊C₄	—	2	1	no	—
1172	C₄⋊C₄	—	2	1	no	—
1173	C₄⋊C₄	—	4	1	no	—
1174	C₄⋊C₄	—	4	1	no	—
1175	C₄⋊C₄	—	4	1	no	—
1176	C₄⋊C₄	—	4	1	no	—
1177	C₄⋊C₄	—	4	1	no	—
1178	C₄⋊C₄	—	4	1	no	—
1179	C₄⋊C₄	—	4	1	no	—
1180	C₄⋊C₄	—	4	1	no	—
1181	C₄⋊C₄	—	4	1	no	—
1182	C₄⋊C₄	—	4	1	no	—
1183	C₄⋊C₄	#127	1	1	yes	characteristic
1184	C₄⋊C₄	#127	1	1	yes	characteristic
1185	C₄⋊C₄	#127	1	1	yes	characteristic
1186	C₄⋊C₄	#127	1	1	yes	characteristic
1187	C₄⋊C₄	#127	1	1	yes	characteristic
1188	C₄⋊C₄	#127	1	1	yes	characteristic
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	C₂²⋊C₄	—	4	1	no	—
1207	C₂²⋊C₄	—	4	1	no	—
1208	C₂²⋊C₄	—	4	1	no	—
1209	C₂²⋊C₄	—	4	1	no	—
1210	C₂²⋊C₄	—	4	1	no	—
1211	C₂²⋊C₄	—	4	1	no	—
1212	C₂²⋊C₄	—	4	1	no	—
1213	C₂²⋊C₄	—	4	1	no	—
1214	C₂²⋊C₄	—	4	1	no	—
1215	C₂²⋊C₄	—	4	1	no	—
1216	C₂²⋊C₄	—	4	1	no	—
1217	C₂²⋊C₄	—	4	1	no	—
1218	C₂²⋊C₄	—	4	1	no	—
1219	C₂²⋊C₄	—	4	1	no	—
1220	C₂²⋊C₄	—	4	1	no	—
1221	C₂²⋊C₄	#127	1	1	yes	characteristic
1222	C₂²⋊C₄	#127	1	1	yes	characteristic
1223	C₂²⋊C₄	#127	1	1	yes	characteristic
1224	C₂²⋊C₄	#127	1	1	yes	characteristic
1225	C₂²⋊C₄	#127	1	1	yes	characteristic
1226	C₂²⋊C₄	#127	1	1	yes	characteristic
1227	C₄²	—	4	1	no	—
1228	C₄²	—	4	1	no	—
1229	C₄²	—	4	1	no	—
1230	C₄²	—	4	1	no	—
1231	C₄²	C₂²×D₄	1	1	yes	characteristic
1232	C₄²	C₂²×D₄	1	1	yes	characteristic
1233	C₄²	C₂²×D₄	1	1	yes	characteristic
1234	C₄²	C₂²×D₄	1	1	yes	characteristic
1235	C₄²	C₂²×D₄	1	1	yes	characteristic
1236	C₄²	C₂²×D₄	1	1	yes	characteristic
1237	C₄²	C₂²×D₄	1	1	yes	characteristic
1238	C₄²	C₂²×D₄	1	1	yes	characteristic
1239	C₄²	C₂²×D₄	1	1	yes	characteristic
1240	C₄²	C₂⁵	1	1	yes	characteristic
1241	C₂³	—	4	1	no	—
1242	C₂³	—	4	1	no	—
1243	C₂³	—	4	1	no	—
1244	C₂³	—	4	1	no	—
1245	C₂³	—	4	1	no	—
1246	C₂³	—	4	1	no	—
1247	C₂³	—	4	1	no	—
1248	C₂³	—	4	1	no	—
1249	C₂³	—	8	2	no	—
1250	C₂³	—	8	2	no	—
1251	C₂³	—	8	2	no	—
1252	C₂³	—	8	2	no	—
1253	C₂³	—	8	2	no	—
1254	C₂³	—	16	1	no	—
1255	C₂³	—	16	1	no	—
1256	C₂³	—	16	1	no	—
1257	C₂³	—	16	1	no	—
1258	C₂³	—	16	1	no	—
1259	C₂³	—	16	1	no	—
1260	C₂³	—	16	1	no	—
1261	C₂³	—	16	1	no	—
1262	C₂³	—	16	1	no	—
1263	C₂³	—	16	1	no	—
1264	C₂³	C₂×#127	1	1	yes	characteristic
1265	C₂³	C₂×#127	1	1	yes	characteristic
1266	C₂³	C₂×#127	1	1	yes	characteristic
1267	Q₈	—	4	1	no	—
1268	Q₈	—	4	2	no	—
1269	Q₈	—	4	2	no	—
1270	Q₈	—	4	2	no	—
1271	Q₈	—	4	2	no	—
1272	Q₈	—	4	2	no	—
1273	Q₈	—	4	2	no	—
1274	Q₈	—	4	2	no	—
1275	Q₈	—	4	2	no	—
1276	Q₈	—	16	1	no	—
1277	D₄	—	4	1	no	—
1278	D₄	—	4	1	no	—
1279	D₄	—	4	1	no	—
1280	D₄	—	4	2	no	—
1281	D₄	—	4	2	no	—
1282	D₄	—	4	2	no	—
1283	D₄	—	4	2	no	—
1284	D₄	—	4	2	no	—
1285	D₄	—	4	2	no	—
1286	D₄	—	4	2	no	—
1287	D₄	—	4	2	no	—
1288	D₄	—	4	2	no	—
1289	D₄	—	4	2	no	—
1290	D₄	—	4	2	no	—
1291	D₄	—	4	2	no	—
1292	D₄	—	4	2	no	—
1293	D₄	—	4	2	no	—
1294	D₄	—	4	2	no	—
1295	D₄	—	4	2	no	—
1296	D₄	—	4	2	no	—
1297	D₄	—	4	2	no	—
1298	D₄	—	4	2	no	—
1299	D₄	—	4	2	no	—
1300	D₄	—	4	2	no	—
1301	D₄	—	4	2	no	—
1302	D₄	—	4	2	no	—
1303	D₄	—	4	2	no	—
1304	D₄	—	8	2	no	—
1305	D₄	—	8	2	no	—
1306	D₄	—	8	2	no	—
1307	D₄	—	8	2	no	—
1308	D₄	—	8	2	no	—
1309	D₄	—	8	2	no	—
1310	D₄	—	8	2	no	—
1311	D₄	—	8	2	no	—
1312	D₄	—	8	2	no	—
1313	D₄	—	16	1	no	—
1314	D₄	—	16	1	no	—
1315	D₄	—	16	1	no	—
1316	D₄	—	16	1	no	—
1317	D₄	—	16	1	no	—
1318	D₄	—	16	1	no	—
1319	D₄	—	16	1	no	—
1320	D₄	—	16	1	no	—
1321	D₄	—	16	1	no	—
1322	D₄	—	16	1	no	—
1323	D₄	—	16	1	no	—
1324	D₄	—	16	1	no	—
1325	D₄	—	16	1	no	—
1326	D₄	—	16	1	no	—
1327	D₄	—	16	1	no	—
1328	D₄	—	16	1	no	—
1329	D₄	—	16	1	no	—
1330	D₄	—	16	1	no	—
1331	D₄	—	16	1	no	—
1332	D₄	—	16	1	no	—
1333	C₂×C₄	—	2	2	no	—
1334	C₂×C₄	—	2	2	no	—
1335	C₂×C₄	—	2	2	no	—
1336	C₂×C₄	—	2	2	no	—
1337	C₂×C₄	—	2	2	no	—
1338	C₂×C₄	—	2	2	no	—
1339	C₂×C₄	—	2	2	no	—
1340	C₂×C₄	—	2	2	no	—
1341	C₂×C₄	—	2	2	no	—
1342	C₂×C₄	—	4	1	no	—
1343	C₂×C₄	—	4	1	no	—
1344	C₂×C₄	—	4	1	no	—
1345	C₂×C₄	—	4	1	no	—
1346	C₂×C₄	—	4	1	no	—
1347	C₂×C₄	—	4	1	no	—
1348	C₂×C₄	—	4	1	no	—
1349	C₂×C₄	—	4	1	no	—
1350	C₂×C₄	—	8	2	no	—
1351	C₂×C₄	—	8	2	no	—
1352	C₂×C₄	—	8	2	no	—
1353	C₂×C₄	—	8	2	no	—
1354	C₂×C₄	—	16	1	no	—
1355	C₂×C₄	—	16	1	no	—
1356	C₂×C₄	—	16	1	no	—
1357	C₂×C₄	—	16	1	no	—
1358	C₂×C₄	—	16	1	no	—
1359	C₂×C₄	—	16	1	no	—
1360	C₂×C₄	—	16	1	no	—
1361	C₂×C₄	—	16	1	no	—
1362	C₂×C₄	—	16	1	no	—
1363	C₂×C₄	—	16	1	no	—
1364	C₂×C₄	—	16	1	no	—
1365	C₂×C₄	C₂×#127	1	1	yes	characteristic
1366	C₂×C₄	C₂×#127	1	1	yes	characteristic
1367	C₂×C₄	C₂×#127	1	1	yes	characteristic
1368	C₂×C₄	C₂×#127	1	1	yes	characteristic
1369	C₂×C₄	C₂×#127	1	1	yes	characteristic
1370	C₂×C₄	C₂×#127	1	1	yes	characteristic
1371	C₂×C₄	C₂×#127	1	1	yes	characteristic
1372	C₂×C₄	C₂×#127	1	1	yes	characteristic
1373	C₂×C₄	C₂×#127	1	1	yes	characteristic
1374	C₂×C₄	C₂³×D₄	1	1	yes	characteristic
1375	C₂×C₄	C₂³×D₄	1	1	yes	characteristic
1376	C₂×C₄	C₂³×D₄	1	1	yes	characteristic
1377	C₈	—	2	2	no	—
1378	C₈	—	2	2	no	—
1379	C₈	—	2	2	no	—
1380	C₈	—	2	2	no	—
1381	C₈	—	2	2	no	—
1382	C₈	—	2	2	no	—
1383	C₈	—	2	2	no	—
1384	C₈	—	2	2	no	—
1385	C₈	—	2	2	no	—
1386	C₈	—	2	2	no	—
1387	C₈	—	2	2	no	—
1388	C₈	#576	1	4	yes	—
1389	C₂²	—	2	1	no	—
1390	C₂²	—	2	1	no	—
1391	C₂²	—	2	1	no	—
1392	C₂²	—	2	1	no	—
1393	C₂²	—	2	1	no	—
1394	C₂²	—	2	1	no	—
1395	C₂²	—	2	1	no	—
1396	C₂²	—	2	1	no	—
1397	C₂²	—	2	1	no	—
1398	C₂²	—	8	1	no	—
1399	C₂²	—	8	1	no	—
1400	C₂²	—	8	1	no	—
1401	C₂²	—	8	1	no	—
1402	C₂²	—	8	1	no	—
1403	C₂²	—	8	1	no	—
1404	C₂²	—	8	1	no	—
1405	C₂²	—	8	1	no	—
1406	C₂²	—	8	1	no	—
1407	C₂²	—	8	1	no	—
1408	C₂²	—	8	1	no	—
1409	C₂²	—	8	1	no	—
1410	C₂²	—	8	1	no	—
1411	C₂²	—	8	1	no	—
1412	C₂²	—	8	1	no	—
1413	C₂²	—	8	1	no	—
1414	C₂²	—	8	1	no	—
1415	C₂²	—	8	1	no	—
1416	C₂²	—	8	1	no	—
1417	C₂²	—	8	1	no	—
1418	C₂²	—	8	1	no	—
1419	C₂²	—	8	1	no	—
1420	C₂²	—	8	1	no	—
1421	C₂²	—	8	1	no	—
1422	C₂²	—	32	2	no	—
1423	C₂²	—	32	2	no	—
1424	C₂²	—	32	2	no	—
1425	C₂²	—	32	2	no	—
1426	C₂²	—	32	2	no	—
1427	C₂²	C₂²×#127	1	1	yes	characteristic
1428	C₄	—	2	1	no	—
1429	C₄	—	2	1	no	—
1430	C₄	—	2	1	no	—
1431	C₄	—	2	1	no	—
1432	C₄	—	2	1	no	—
1433	C₄	—	2	1	no	—
1434	C₄	—	2	1	no	—
1435	C₄	—	2	1	no	—
1436	C₄	—	2	1	no	—
1437	C₄	—	8	1	no	—
1438	C₄	—	8	1	no	—
1439	C₄	—	8	1	no	—
1440	C₄	—	8	1	no	—
1441	C₄	—	8	1	no	—
1442	C₄	—	8	1	no	—
1443	C₄	—	8	1	no	—
1444	C₄	—	8	1	no	—
1445	C₄	C₂×#576	1	2	yes	—
1446	C₄	#3585	1	2	yes	—
1447	C₄	#3585	1	2	yes	—
1448	C₂	—	4	1	no	—
1449	C₂	—	4	1	no	—
1450	C₂	—	4	1	no	—
1451	C₂	—	16	1	no	—
1452	C₂	—	16	1	no	—
1453	C₂	—	16	1	no	—
1454	C₂	—	16	1	no	—
1455	C₂	—	16	1	no	—
1456	C₂	—	16	1	no	—
1457	C₂	—	16	1	no	—
1458	C₂	—	16	1	no	—
1459	C₂	#60644	1	1	yes	characteristic
1460	C₂	#60647	1	1	yes	characteristic
1461	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. #62546	C₂	semidirect
2. #62427	C₂	semidirect
3. #62423	C₂	semidirect
4. #62423	C₂	semidirect
5. #61011	C₂	semidirect
6. #60822	C₂	semidirect
7. #19750	C₂	semidirect
8. #19745	C₂	semidirect
9. #19743	C₂	semidirect
10. #19737	C₂	semidirect
11. #19735	C₂	semidirect
12. #19735	C₂	semidirect
13. #19729	C₂	semidirect
14. #19727	C₂	semidirect
15. #19727	C₂	semidirect
16. #19722	C₂	semidirect
17. #19719	C₂	semidirect
18. #19713	C₂	semidirect
19. #19708	C₂	semidirect
20. #19698	C₂	semidirect
21. #19694	C₂	semidirect
22. #19689	C₂	semidirect
23. #19676	C₂	semidirect
24. #19673	C₂	semidirect
25. #19665	C₂	semidirect
26. #19661	C₂	semidirect
27. #19650	C₂	semidirect
28. #19647	C₂	semidirect
29. #19631	C₂	semidirect
30. #19629	C₂	semidirect
31. #17340	C₂	semidirect
53. #3231	C₂²	semidirect
54. #3228	C₂²	semidirect
55. #3228	C₂²	semidirect
56. #3228	C₂²	semidirect
57. #3228	C₂²	semidirect
58. #3228	C₂²	semidirect
59. #3226	C₂²	semidirect
62. #3210	C₂²	semidirect
63. #3210	C₂²	semidirect
64. #3210	C₂²	semidirect
65. #3210	C₂²	semidirect
66. #3208	C₂²	semidirect
67. #3208	C₂²	semidirect
68. #3208	C₂²	semidirect
69. #3208	C₂²	semidirect
70. #3208	C₂²	semidirect
73. #3207	C₂²	semidirect
74. #3207	C₂²	semidirect
75. #3207	C₂²	semidirect
76. #3207	C₂²	semidirect
77. #3207	C₂²	semidirect
78. #3207	C₂²	semidirect
79. #3207	C₂²	semidirect
80. #3207	C₂²	semidirect
81. #3206	C₂²	semidirect
84. #3205	C₂²	semidirect
85. #3205	C₂²	semidirect
86. #3205	C₂²	semidirect
87. #3205	C₂²	semidirect
88. #3205	C₂²	semidirect
89. #3205	C₂²	semidirect
90. #3205	C₂²	semidirect
91. #3205	C₂²	semidirect
92. #3205	C₂²	semidirect
93. #3205	C₂²	semidirect
94. #3205	C₂²	semidirect
96. #3185	C₂²	semidirect
99. #3184	C₂²	semidirect
100. #3184	C₂²	semidirect
101. #3184	C₂²	semidirect
102. #3184	C₂²	semidirect
103. #3184	C₂²	semidirect
104. #3184	C₂²	semidirect
105. #3182	C₂²	semidirect
106. #3169	C₂²	semidirect
107. #3169	C₂²	semidirect
108. #3169	C₂²	semidirect
109. #3167	C₂²	semidirect
110. #3167	C₂²	semidirect
111. #3167	C₂²	semidirect
112. #3152	C₂²	semidirect
115. #3151	C₂²	semidirect
116. #3151	C₂²	semidirect
117. #3151	C₂²	semidirect
118. #3151	C₂²	semidirect
119. #3147	C₂²	semidirect
120. #3147	C₂²	semidirect
121. C₂×#493	C₂²	semidirect
122. C₂×#493	C₂²	semidirect
123. #3141	C₂²	semidirect
124. #3141	C₂²	semidirect
125. #3138	C₂²	semidirect
126. #3131	C₂²	semidirect
127. C₂×#486	C₂²	semidirect
135. #1722	C₂²	semidirect
136. #1722	C₂²	semidirect
137. #1721	C₂²	semidirect
138. #1721	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. #1721	C₂²	semidirect
148. #1721	C₂²	semidirect
149. #1721	C₂²	semidirect
150. #1721	C₂²	semidirect
151. #1721	C₂²	semidirect
152. #1721	C₂²	semidirect
153. #1720	C₂²	semidirect
154. #1720	C₂²	semidirect
155. #1720	C₂²	semidirect
156. #1720	C₂²	semidirect
157. #1719	C₂²	semidirect
158. #1719	C₂²	semidirect
159. #1719	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. #1717	C₂²	semidirect
172. #1717	C₂²	semidirect
173. #1716	C₂²	semidirect
174. #1715	C₂²	semidirect
175. #1715	C₂²	semidirect
176. #1715	C₂²	semidirect
177. #1715	C₂²	semidirect
178. #1715	C₂²	semidirect
179. #1715	C₂²	semidirect
180. #1714	C₂²	semidirect
181. #1714	C₂²	semidirect
182. #1714	C₂²	semidirect
183. #1712	C₂²	semidirect
184. #1712	C₂²	semidirect
185. #1712	C₂²	semidirect
186. #1711	C₂²	semidirect
187. #1709	C₂²	semidirect
188. #1709	C₂²	semidirect
189. #1709	C₂²	semidirect
190. #1709	C₂²	semidirect
191. #1708	C₂²	semidirect
192. #1708	C₂²	semidirect
193. #1707	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. #1454	C₂²	semidirect
201. #1454	C₂²	semidirect
202. #1453	C₂²	semidirect
203. #1453	C₂²	semidirect
204. #1453	C₂²	semidirect
205. #1452	C₂²	semidirect
206. #1451	C₂²	semidirect
207. #1451	C₂²	semidirect
208. #1450	C₂²	semidirect
209. C₈×M₁₆	C₂²	semidirect
210. C₈×M₁₆	C₂²	semidirect

Maximal subgroups

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

subgroup	index
#62546	2
#62427	2
#62423	2
#61011	2
#60822	2
#19750	2
#19745	2
#19743	2
#19737	2
#19735	2
#19729	2
#19727	2
#19722	2
#19719	2
#19713	2
#19708	2
#19698	2
#19694	2
#19689	2
#19676	2
#19673	2
#19665	2
#19661	2
#19650	2
#19647	2
#19631	2
#19629	2
#17340	2