Subgroups — #6369255

Order 512.

1783 conjugacy classes of subgroups.

The subgroup lattice has 1601 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#62003	C₂	1	1	yes	maximal, characteristic, complemented
2	#61737	C₂	1	1	yes	maximal, characteristic, complemented
3	#61545	C₂	1	1	yes	maximal, characteristic, complemented
4	#61067	C₂	1	1	yes	maximal, characteristic, complemented
5	#20309	C₂	1	1	yes	maximal, characteristic, complemented
6	#20240	C₂	1	1	yes	maximal, characteristic, complemented
7	#20171	C₂	1	1	yes	maximal, characteristic, complemented
8	#20163	C₂	1	1	yes	maximal, characteristic, complemented
9	#20163	C₂	1	1	yes	maximal, characteristic, complemented
10	#20089	C₂	1	1	yes	maximal, characteristic, complemented
11	#20063	C₂	1	1	yes	maximal, characteristic, complemented
12	#20056	C₂	1	1	yes	maximal, characteristic, complemented
13	#20030	C₂	1	1	yes	maximal, characteristic, complemented
14	#19972	C₂	1	1	yes	maximal, characteristic, complemented
15	#19902	C₂	1	1	yes	maximal, characteristic, complemented
16	#19894	C₂	1	1	yes	maximal, characteristic, complemented
17	#19876	C₂	1	1	yes	maximal, characteristic, complemented
18	#19779	C₂	1	1	yes	maximal, characteristic, complemented
19	#19767	C₂	1	1	yes	maximal, characteristic, complemented
20	#19760	C₂	1	1	yes	maximal, characteristic, complemented
21	#19725	C₂	1	1	yes	maximal, characteristic, complemented
22	#19502	C₂	1	1	yes	maximal, characteristic, complemented
23	#19461	C₂	1	1	yes	maximal, characteristic, complemented
24	#19377	C₂	1	1	yes	maximal, characteristic, complemented
25	#19304	C₂	1	1	yes	maximal, characteristic, complemented
26	#18858	C₂	1	1	yes	maximal, characteristic, complemented
27	#18822	C₂	1	1	yes	maximal, characteristic, complemented
28	#18806	C₂	1	1	yes	maximal, characteristic, complemented
29	#18782	C₂	1	1	yes	maximal, characteristic, complemented
30	#18052	C₂	1	1	yes	maximal, characteristic, complemented
31	#18006	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#575	—	2	1	no	—
33	#3520	C₂²	1	1	yes	characteristic, complemented
34	#3517	C₂²	1	1	yes	characteristic
35	D₄×#41	C₂²	1	1	yes	characteristic
36	C₂×#547	C₂²	1	1	yes	characteristic
37	#3397	C₂²	1	1	yes	characteristic, complemented
38	#3392	C₂²	1	1	yes	characteristic, complemented
39	#3391	C₂²	1	1	yes	characteristic, complemented
40	#3386	C₂²	1	1	yes	characteristic, complemented
41	#3364	C₂²	1	1	yes	characteristic, complemented
42	#3359	C₂²	1	1	yes	characteristic, complemented
43	#3358	C₂²	1	1	yes	characteristic, complemented
44	#3358	C₂²	1	1	yes	characteristic, complemented
45	#3353	C₂²	1	1	yes	characteristic
46	#3353	C₂²	1	1	yes	characteristic, complemented
47	#3346	—	2	1	no	—
48	#3343	—	2	1	no	—
49	#3343	—	2	1	no	—
50	#3334	C₂²	1	1	yes	characteristic
51	#3334	C₂²	1	1	yes	characteristic, complemented
52	#3334	C₂²	1	1	yes	characteristic, complemented
53	#3333	—	2	1	no	—
54	#3332	—	2	1	no	—
55	#3332	C₂²	1	1	yes	characteristic, complemented
56	#3332	C₂²	1	1	yes	characteristic, complemented
57	#3330	—	2	1	no	—
58	#3330	C₂²	1	1	yes	characteristic
59	#3330	C₂²	1	1	yes	characteristic, complemented
60	#3330	C₂²	1	1	yes	characteristic, complemented
61	#3330	C₂²	1	1	yes	characteristic, complemented
62	#3322	—	2	1	no	—
63	#3308	—	2	1	no	—
64	#3308	—	2	1	no	—
65	#3298	C₂²	1	1	yes	characteristic
66	#3298	C₂²	1	1	yes	characteristic, complemented
67	#3284	C₂²	1	1	yes	characteristic
68	#3284	C₂²	1	1	yes	characteristic
69	#3284	C₂²	1	1	yes	characteristic, complemented
70	#3283	C₂²	1	1	yes	characteristic
71	#3283	C₂²	1	1	yes	characteristic
72	#3276	C₂²	1	1	yes	characteristic
73	#3276	C₂²	1	1	yes	characteristic
74	#3274	—	2	1	no	—
75	#3274	C₂²	1	1	yes	characteristic, complemented
76	#3272	—	2	1	no	—
77	#3272	C₂²	1	1	yes	characteristic
78	#3272	C₂²	1	1	yes	characteristic
79	#3272	C₂²	1	1	yes	characteristic, complemented
80	#3269	—	2	1	no	—
81	#3269	—	2	1	no	—
82	#3268	—	2	1	no	—
83	#3267	—	2	1	no	—
84	#3267	—	2	1	no	—
85	#3251	—	2	1	no	—
86	#3251	C₂²	1	1	yes	characteristic
87	#3239	C₂²	1	1	yes	characteristic, complemented
88	#3230	C₂²	1	1	yes	characteristic, complemented
89	#3228	C₂²	1	1	yes	characteristic
90	#3227	C₂²	1	1	yes	characteristic, complemented
91	#3207	—	2	1	no	—
92	#3207	C₂²	1	1	yes	characteristic
93	#3193	—	2	1	no	—
94	#3188	—	2	1	no	—
95	#3182	C₂²	1	1	yes	characteristic, complemented
96	#3179	—	2	1	no	—
97	#3152	C₂²	1	1	yes	characteristic
98	#3124	—	2	1	no	—
99	#3119	—	2	1	no	—
100	#3110	C₂²	1	1	yes	characteristic
101	#3107	C₂²	1	1	yes	characteristic
102	#3105	—	2	1	no	—
103	#3105	C₂²	1	1	yes	characteristic
104	#3100	C₂²	1	1	yes	characteristic, complemented
105	#3092	—	2	1	no	—
106	C₂×#484	—	2	1	no	—
107	#3056	—	2	1	no	—
108	#3039	C₂²	1	1	yes	characteristic
109	#3036	—	2	1	no	—
110	#3036	C₂²	1	1	yes	characteristic
111	#3036	C₂²	1	1	yes	characteristic
112	#3007	—	2	1	no	—
113	#3005	—	2	1	no	—
114	#2991	C₂²	1	1	yes	characteristic
115	#2974	C₂²	1	1	yes	characteristic, complemented
116	#2969	C₂²	1	1	yes	characteristic, complemented
117	#2951	—	2	1	no	—
118	C₄×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
119	D₄×M₁₆	C₂²	1	1	yes	characteristic
120	#1723	C₂²	1	1	yes	characteristic, complemented
121	#1722	C₂²	1	1	yes	characteristic, complemented
122	#1720	C₂²	1	1	yes	characteristic, complemented
123	#1717	C₂²	1	1	yes	characteristic, complemented
124	#1714	C₂²	1	1	yes	characteristic, complemented
125	#1714	C₂²	1	1	yes	characteristic, complemented
126	#1707	C₂²	1	1	yes	characteristic, complemented
127	#1706	C₂²	1	1	yes	characteristic, complemented
128	#1701	C₂²	1	1	yes	characteristic, complemented
129	#1701	C₂²	1	1	yes	characteristic, complemented
130	#1699	C₂²	1	1	yes	characteristic, complemented
131	#1699	C₂²	1	1	yes	characteristic, complemented
132	#1699	C₂²	1	1	yes	characteristic, complemented
133	#1699	C₂²	1	1	yes	characteristic, complemented
134	#1693	C₂²	1	1	yes	characteristic, complemented
135	#1693	C₂²	1	1	yes	characteristic, complemented
136	#1693	C₂²	1	1	yes	characteristic, complemented
137	#1690	C₂²	1	1	yes	characteristic, complemented
138	#1689	C₂²	1	1	yes	characteristic, complemented
139	#1687	C₂²	1	1	yes	characteristic, complemented
140	#1686	C₂²	1	1	yes	characteristic, complemented
141	#1685	C₂²	1	1	yes	characteristic, complemented
142	#1685	C₂²	1	1	yes	characteristic, complemented
143	#1685	C₂²	1	1	yes	characteristic, complemented
144	#1681	C₂²	1	1	yes	characteristic, complemented
145	#1681	C₂²	1	1	yes	characteristic, complemented
146	#1680	C₂²	1	1	yes	characteristic, complemented
147	#1680	C₂²	1	1	yes	characteristic, complemented
148	#1679	C₂²	1	1	yes	characteristic, complemented
149	#1679	C₂²	1	1	yes	characteristic, complemented
150	#1674	C₂²	1	1	yes	characteristic, complemented
151	#1674	C₂²	1	1	yes	characteristic, complemented
152	#1673	C₂²	1	1	yes	characteristic, complemented
153	#1670	C₂²	1	1	yes	characteristic, complemented
154	#1669	C₂²	1	1	yes	characteristic, complemented
155	#1667	C₂²	1	1	yes	characteristic, complemented
156	#1666	C₂²	1	1	yes	characteristic, complemented
157	#1665	C₂²	1	1	yes	characteristic, complemented
158	#1665	C₂²	1	1	yes	characteristic, complemented
159	#1665	C₂²	1	1	yes	characteristic, complemented
160	#1654	C₂²	1	1	yes	characteristic
161	#1654	C₂²	1	1	yes	characteristic
162	#1654	C₂²	1	1	yes	characteristic, complemented
163	#1654	C₂²	1	1	yes	characteristic, complemented
164	#1654	C₂²	1	1	yes	characteristic, complemented
165	#1654	C₂²	1	1	yes	characteristic, complemented
166	#1654	C₂²	1	1	yes	characteristic, complemented
167	#1654	C₂²	1	1	yes	characteristic, complemented
168	#1653	C₂²	1	1	yes	characteristic, complemented
169	#1653	C₂²	1	1	yes	characteristic, complemented
170	#1651	C₂²	1	1	yes	characteristic, complemented
171	#1651	C₂²	1	1	yes	characteristic, complemented
172	#1650	C₂²	1	1	yes	characteristic, complemented
173	#1649	C₂²	1	1	yes	characteristic, complemented
174	#1647	C₂²	1	1	yes	characteristic, complemented
175	#1647	C₂²	1	1	yes	characteristic, complemented
176	#1642	C₂²	1	1	yes	characteristic, complemented
177	#1642	C₂²	1	1	yes	characteristic, complemented
178	#1642	C₂²	1	1	yes	characteristic, complemented
179	#1641	C₂²	1	1	yes	characteristic, complemented
180	#1641	C₂²	1	1	yes	characteristic, complemented
181	#1641	C₂²	1	1	yes	characteristic, complemented
182	#1639	C₂²	1	1	yes	characteristic, complemented
183	#1639	C₂²	1	1	yes	characteristic, complemented
184	#1628	C₂²	1	1	yes	characteristic, complemented
185	#1627	C₂²	1	1	yes	characteristic, complemented
186	#1625	C₂²	1	1	yes	characteristic
187	#1625	C₂²	1	1	yes	characteristic
188	#1625	C₂²	1	1	yes	characteristic, complemented
189	#1625	C₂²	1	1	yes	characteristic, complemented
190	#1625	C₂²	1	1	yes	characteristic, complemented
191	#1625	C₂²	1	1	yes	characteristic, complemented
192	#1594	C₂²	1	1	yes	characteristic, complemented
193	#1594	C₂²	1	1	yes	characteristic, complemented
194	#1590	C₂²	1	1	yes	characteristic, complemented
195	#1589	C₂²	1	1	yes	characteristic, complemented
196	#1588	C₂²	1	1	yes	characteristic, complemented
197	#1588	C₂²	1	1	yes	characteristic, complemented
198	#1586	C₂²	1	1	yes	characteristic, complemented
199	#1586	C₂²	1	1	yes	characteristic, complemented
200	#1583	C₂²	1	1	yes	characteristic, complemented
201	#1582	C₂²	1	1	yes	characteristic, complemented
202	#1581	C₂²	1	1	yes	characteristic, complemented
203	#1581	C₂²	1	1	yes	characteristic, complemented
204	SD₁₆⋊C₈	C₂²	1	1	yes	characteristic, complemented
205	SD₁₆⋊C₈	C₂²	1	1	yes	characteristic, complemented
206	C₈×SD₁₆	C₂²	1	1	yes	characteristic, complemented
207	C₈×D₈	C₂²	1	1	yes	characteristic, complemented
208	#1574	C₂²	1	1	yes	characteristic, complemented
209	#1569	C₂²	1	1	yes	characteristic, complemented
210	#1561	C₂²	1	1	yes	characteristic, complemented
211	#1557	C₂²	1	1	yes	characteristic, complemented
212	#1553	C₂²	1	1	yes	characteristic
213	#1549	C₂²	1	1	yes	characteristic, complemented
214	#1495	C₂²	1	1	yes	characteristic, complemented
215	#1488	C₂²	1	1	yes	characteristic
216	#1486	C₂²	1	1	yes	characteristic, complemented
217	#1478	C₂²	1	1	yes	characteristic
218	#1453	C₂²	1	1	yes	characteristic, complemented
219	C₂²×#41	—	2	1	no	—
220	C₂²×#41	—	2	1	no	—
221	#575	—	4	8	no	—
222	C₂×#137	—	2	1	no	—
223	C₂×#137	—	2	1	no	—
224	C₂×#137	—	2	1	no	—
225	C₂×#137	—	2	1	no	—
226	C₂×#137	—	2	1	no	—
227	C₂×AGL(1,ℤ/8)	—	2	1	no	—
228	C₂×AGL(1,ℤ/8)	—	2	1	no	—
229	C₂×AGL(1,ℤ/8)	—	2	1	no	—
230	C₂×AGL(1,ℤ/8)	—	2	1	no	—
231	C₂×AGL(1,ℤ/8)	—	2	1	no	—
232	C₂×AGL(1,ℤ/8)	—	2	1	no	—
233	C₂×AGL(1,ℤ/8)	D₄	1	1	yes	characteristic
234	C₂×#135	—	2	1	no	—
235	C₂×#135	—	2	1	no	—
236	C₂×#135	—	2	1	no	—
237	C₂×#135	—	2	1	no	—
238	C₂×#135	—	2	1	no	—
239	C₂²×M₁₆	—	2	1	no	—
240	#557	C₂³	1	1	yes	characteristic
241	#556	C₂³	1	1	yes	characteristic
242	#554	—	2	1	no	—
243	#553	—	2	1	no	—
244	#553	—	4	1	no	—
245	#552	—	2	1	no	—
246	#551	—	4	1	no	—
247	#550	—	2	1	no	—
248	#550	—	2	1	no	—
249	#550	C₂³	1	1	yes	characteristic
250	#550	C₂³	1	1	yes	characteristic
251	#550	C₂³	1	1	yes	characteristic
252	D₄×Q₈	C₂³	1	1	yes	characteristic
253	D₄×Q₈	C₂³	1	1	yes	characteristic
254	#548	—	2	1	no	—
255	#548	—	2	1	no	—
256	#547	—	2	1	no	—
257	#547	—	2	1	no	—
258	#547	—	2	1	no	—
259	#547	—	2	1	no	—
260	#547	—	2	1	no	—
261	#547	—	2	1	no	—
262	#547	—	4	1	no	—
263	#547	C₂³	1	1	yes	characteristic
264	#547	C₂³	1	1	yes	characteristic
265	#547	C₂³	1	1	yes	characteristic
266	#547	C₂³	1	1	yes	characteristic
267	#547	C₂³	1	1	yes	characteristic
268	#547	C₂³	1	1	yes	characteristic
269	#547	C₂³	1	1	yes	characteristic
270	#547	C₂³	1	1	yes	characteristic
271	#546	—	2	1	no	—
272	#546	—	2	1	no	—
273	#546	—	4	1	no	—
274	D₄²	—	2	1	no	—
275	D₄²	C₂³	1	1	yes	characteristic
276	#542	—	2	1	no	—
277	#540	—	2	1	no	—
278	#540	—	4	1	no	—
279	#539	—	4	1	no	—
280	#533	C₂³	1	1	yes	characteristic
281	#532	—	2	1	no	—
282	#532	—	2	1	no	—
283	#532	C₂³	1	1	yes	characteristic
284	#532	C₂³	1	1	yes	characteristic
285	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
286	#529	—	2	1	no	—
287	#529	C₂³	1	1	yes	characteristic
288	#525	—	2	1	no	—
289	#525	—	2	1	no	—
290	#525	—	4	1	no	—
291	C₂×#123	—	4	1	no	—
292	C₂×C₂²⋊Q₈	—	2	1	no	—
293	C₂×C₂²⋊Q₈	—	2	1	no	—
294	C₂×#121	—	2	1	no	—
295	#520	—	2	1	no	—
296	#520	—	2	1	no	—
297	C₄×#41	C₂³	1	1	yes	characteristic
298	C₂×C₄×D₄	—	2	1	no	—
299	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
300	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
301	C₂²×C₄⋊C₄	—	2	1	no	—
302	#501	—	2	1	no	—
303	#501	—	2	1	no	—
304	#500	C₂³	1	1	yes	characteristic
305	#500	C₂³	1	1	yes	characteristic
306	#500	C₂³	1	1	yes	characteristic
307	#500	C₂³	1	1	yes	characteristic
308	#498	C₂³	1	1	yes	characteristic
309	#498	C₂³	1	1	yes	characteristic
310	#498	C₂³	1	1	yes	characteristic
311	#497	—	2	1	no	—
312	#497	—	2	1	no	—
313	#496	—	2	1	no	—
314	#494	C₂³	1	1	yes	characteristic
315	#494	C₂³	1	1	yes	characteristic
316	#493	—	2	1	no	—
317	#493	C₂³	1	1	yes	characteristic
318	#492	—	2	1	no	—
319	#492	C₂³	1	1	yes	characteristic
320	#492	C₂³	1	1	yes	characteristic
321	#492	C₂³	1	1	yes	characteristic
322	#492	C₂³	1	1	yes	characteristic
323	#489	—	2	1	no	—
324	#488	—	2	1	no	—
325	#487	—	2	1	no	—
326	#487	C₂³	1	1	yes	characteristic
327	#487	C₂³	1	1	yes	characteristic
328	#487	C₂³	1	1	yes	characteristic
329	#487	C₂³	1	1	yes	characteristic
330	#486	—	2	1	no	—
331	#486	—	2	1	no	—
332	#486	C₂³	1	1	yes	characteristic
333	#486	C₂³	1	1	yes	characteristic
334	#486	C₂³	1	1	yes	characteristic
335	#486	C₂³	1	1	yes	characteristic
336	#486	C₂³	1	1	yes	characteristic
337	#486	C₂³	1	1	yes	characteristic
338	#485	—	2	1	no	—
339	#484	—	2	1	no	—
340	#484	—	2	1	no	—
341	#484	—	2	1	no	—
342	#484	—	2	1	no	—
343	#484	—	2	1	no	—
344	#484	—	2	1	no	—
345	#484	—	2	1	no	—
346	#484	—	2	1	no	—
347	#484	—	2	1	no	—
348	#484	—	2	1	no	—
349	#484	D₄	1	1	yes	characteristic
350	#483	—	2	1	no	—
351	#483	—	2	1	no	—
352	#482	—	2	1	no	—
353	#482	—	2	1	no	—
354	#482	—	4	1	no	—
355	#481	—	2	1	no	—
356	#481	—	2	1	no	—
357	#481	—	2	1	no	—
358	#481	—	4	1	no	—
359	#481	D₄	1	1	yes	characteristic
360	#480	—	2	1	no	—
361	#480	—	2	1	no	—
362	#480	—	2	1	no	—
363	#480	—	2	1	no	—
364	#480	—	2	1	no	—
365	#480	—	2	1	no	—
366	#480	—	2	1	no	—
367	#479	—	2	1	no	—
368	#478	—	2	1	no	—
369	#478	—	2	1	no	—
370	#478	—	4	1	no	—
371	#478	D₄	1	1	yes	characteristic
372	#478	D₄	1	1	yes	characteristic
373	#477	—	2	1	no	—
374	#477	—	2	1	no	—
375	#477	—	2	1	no	—
376	#476	—	4	1	no	—
377	#475	—	2	1	no	—
378	#475	C₂³	1	1	yes	characteristic
379	#475	C₂³	1	1	yes	characteristic
380	#475	C₂³	1	1	yes	characteristic
381	#475	C₂³	1	1	yes	characteristic
382	#474	—	2	1	no	—
383	#474	—	2	1	no	—
384	#474	C₂³	1	1	yes	characteristic
385	#474	C₂³	1	1	yes	characteristic
386	#474	C₂³	1	1	yes	characteristic
387	#474	C₂³	1	1	yes	characteristic
388	#474	C₂³	1	1	yes	characteristic
389	#474	C₂³	1	1	yes	characteristic
390	#474	C₂³	1	1	yes	characteristic
391	#474	C₂³	1	1	yes	characteristic
392	#470	—	2	1	no	—
393	#470	—	2	1	no	—
394	#469	—	2	1	no	—
395	#469	—	2	1	no	—
396	#469	—	2	1	no	—
397	#469	—	2	1	no	—
398	#468	—	2	1	no	—
399	#468	—	2	1	no	—
400	#468	—	2	1	no	—
401	#468	—	2	1	no	—
402	#468	—	2	1	no	—
403	#468	—	2	1	no	—
404	#468	—	2	1	no	—
405	#468	—	2	1	no	—
406	#468	—	2	1	no	—
407	#468	—	2	1	no	—
408	#468	—	2	1	no	—
409	#468	—	2	1	no	—
410	#467	—	2	1	no	—
411	#467	—	2	1	no	—
412	#466	—	2	1	no	—
413	#466	—	2	1	no	—
414	#466	—	2	1	no	—
415	#465	—	2	1	no	—
416	#465	—	2	1	no	—
417	#465	—	2	1	no	—
418	#465	—	2	1	no	—
419	#465	—	2	1	no	—
420	#464	—	2	1	no	—
421	#463	—	2	1	no	—
422	#463	—	2	1	no	—
423	#463	—	2	1	no	—
424	#463	—	2	1	no	—
425	#463	—	2	1	no	—
426	#463	—	2	1	no	—
427	#463	—	2	1	no	—
428	#463	—	2	1	no	—
429	#463	D₄	1	1	yes	characteristic
430	#463	D₄	1	1	yes	characteristic
431	#462	—	2	1	no	—
432	#462	C₂³	1	1	yes	characteristic
433	#462	C₂³	1	1	yes	characteristic
434	#462	C₂³	1	1	yes	characteristic
435	#461	—	2	1	no	—
436	#461	—	2	1	no	—
437	#461	—	2	1	no	—
438	#461	C₂³	1	1	yes	characteristic
439	#461	C₂³	1	1	yes	characteristic
440	#461	C₂³	1	1	yes	characteristic
441	#461	C₂³	1	1	yes	characteristic
442	#461	C₂³	1	1	yes	characteristic
443	#461	C₂³	1	1	yes	characteristic
444	#461	C₂³	1	1	yes	characteristic
445	#461	C₂³	1	1	yes	characteristic
446	#461	C₂³	1	1	yes	characteristic
447	#460	—	2	1	no	—
448	#460	—	2	1	no	—
449	#460	C₂³	1	1	yes	characteristic
450	#459	—	2	1	no	—
451	#459	—	2	1	no	—
452	#459	—	2	1	no	—
453	#459	—	2	1	no	—
454	#459	C₂³	1	1	yes	characteristic
455	#459	C₂³	1	1	yes	characteristic
456	#459	C₂³	1	1	yes	characteristic
457	#459	C₂³	1	1	yes	characteristic
458	#459	C₂³	1	1	yes	characteristic
459	#459	C₂³	1	1	yes	characteristic
460	#459	C₂³	1	1	yes	characteristic
461	#452	—	2	1	no	—
462	#452	—	2	1	no	—
463	#452	—	2	1	no	—
464	#452	—	2	1	no	—
465	#452	—	2	1	no	—
466	#452	—	2	1	no	—
467	#452	—	2	1	no	—
468	#452	—	2	1	no	—
469	#452	—	2	1	no	—
470	#452	—	2	1	no	—
471	#451	—	2	1	no	—
472	#451	—	2	1	no	—
473	#450	—	2	1	no	—
474	#450	—	2	1	no	—
475	#450	—	2	1	no	—
476	#450	—	2	1	no	—
477	#450	D₄	1	1	yes	characteristic
478	#449	—	2	1	no	—
479	#449	—	2	1	no	—
480	#449	—	2	1	no	—
481	#449	—	2	1	no	—
482	#449	—	2	1	no	—
483	#449	—	2	1	no	—
484	#449	—	2	1	no	—
485	#449	—	2	1	no	—
486	#449	—	2	1	no	—
487	#449	—	2	1	no	—
488	#449	—	2	1	no	—
489	#449	—	2	1	no	—
490	#449	—	2	1	no	—
491	#449	—	2	1	no	—
492	#449	—	2	1	no	—
493	#448	—	2	1	no	—
494	#448	—	2	1	no	—
495	#447	—	2	1	no	—
496	#447	—	2	1	no	—
497	#447	D₄	1	1	yes	characteristic
498	#446	C₂³	1	1	yes	characteristic
499	C₈×Q₈	C₂³	1	1	yes	characteristic
500	C₈×Q₈	C₂³	1	1	yes	characteristic
501	C₈×Q₈	C₂³	1	1	yes	characteristic
502	#442	D₄	1	1	yes	characteristic
503	#442	D₄	1	1	yes	characteristic
504	#440	—	2	1	no	—
505	#440	—	2	1	no	—
506	#440	—	2	1	no	—
507	#440	—	2	1	no	—
508	#440	—	2	1	no	—
509	#440	—	2	1	no	—
510	#440	D₄	1	1	yes	characteristic
511	#440	D₄	1	1	yes	characteristic
512	C₄×Q₁₆	—	2	1	no	—
513	C₄×Q₁₆	—	2	1	no	—
514	C₄×SD₁₆	—	2	1	no	—
515	C₄×SD₁₆	—	2	1	no	—
516	C₄×SD₁₆	—	2	1	no	—
517	C₄×SD₁₆	C₂³	1	1	yes	characteristic
518	C₄×SD₁₆	C₂³	1	1	yes	characteristic
519	C₄×SD₁₆	C₂³	1	1	yes	characteristic
520	C₄×SD₁₆	C₂³	1	1	yes	characteristic
521	C₄×D₈	—	2	1	no	—
522	C₄×D₈	—	2	1	no	—
523	C₄×D₈	—	2	1	no	—
524	C₄×D₈	—	2	1	no	—
525	C₄×D₈	—	2	1	no	—
526	C₄×D₈	C₂³	1	1	yes	characteristic
527	C₄×D₈	C₂³	1	1	yes	characteristic
528	C₄×D₈	C₂³	1	1	yes	characteristic
529	C₄×D₈	C₂³	1	1	yes	characteristic
530	#436	—	2	1	no	—
531	#436	—	2	1	no	—
532	#436	—	2	1	no	—
533	#436	C₂³	1	1	yes	characteristic
534	#436	C₂³	1	1	yes	characteristic
535	#436	C₂³	1	1	yes	characteristic
536	#436	C₂³	1	1	yes	characteristic
537	#436	C₂³	1	1	yes	characteristic
538	#436	C₂³	1	1	yes	characteristic
539	#436	C₂³	1	1	yes	characteristic
540	#435	—	2	1	no	—
541	#435	—	2	1	no	—
542	#435	—	2	1	no	—
543	#435	—	2	1	no	—
544	#435	—	2	1	no	—
545	C₈×D₄	C₂³	1	1	yes	characteristic
546	C₈×D₄	C₂³	1	1	yes	characteristic
547	C₈×D₄	C₂³	1	1	yes	characteristic
548	C₈×D₄	C₂³	1	1	yes	characteristic
549	C₈×D₄	C₂³	1	1	yes	characteristic
550	#433	—	2	1	no	—
551	#432	C₂³	1	1	yes	characteristic
552	#431	—	2	1	no	—
553	#431	C₂³	1	1	yes	characteristic
554	#431	C₂³	1	1	yes	characteristic
555	#431	C₂³	1	1	yes	characteristic
556	#428	—	2	1	no	—
557	#428	—	2	1	no	—
558	#428	D₄	1	1	yes	characteristic
559	C₂×#107	—	2	1	no	—
560	C₂×#107	—	2	1	no	—
561	C₂×#107	—	2	1	no	—
562	#423	—	2	1	no	—
563	#423	C₂³	1	1	yes	characteristic
564	#423	C₂³	1	1	yes	characteristic
565	#419	—	2	1	no	—
566	#418	D₄	1	1	yes	characteristic
567	#417	—	2	1	no	—
568	#417	—	2	1	no	—
569	#417	—	2	1	no	—
570	#417	—	2	1	no	—
571	#417	—	2	1	no	—
572	#417	—	2	1	no	—
573	#417	—	2	1	no	—
574	#417	—	2	1	no	—
575	#417	D₄	1	1	yes	characteristic
576	C₂×#103	—	2	1	no	—
577	C₂×#103	—	2	1	no	—
578	#407	—	2	1	no	—
579	#407	—	2	1	no	—
580	C₂×C₂²⋊C₈	—	2	1	no	—
581	#405	—	2	1	no	—
582	C₄×M₁₆	C₂³	1	1	yes	characteristic
583	#335	C₂³	1	1	yes	characteristic
584	#335	C₂³	1	1	yes	characteristic
585	#335	C₂³	1	1	yes	characteristic
586	#335	C₂³	1	1	yes	characteristic
587	#334	C₂³	1	1	yes	characteristic
588	#334	C₂³	1	1	yes	characteristic
589	#334	C₂³	1	1	yes	characteristic
590	#334	C₂³	1	1	yes	characteristic
591	#332	C₂³	1	1	yes	characteristic
592	#332	C₂³	1	1	yes	characteristic
593	#332	C₂³	1	1	yes	characteristic
594	#332	C₂³	1	1	yes	characteristic
595	#332	C₂³	1	1	yes	characteristic
596	#332	C₂³	1	1	yes	characteristic
597	#332	C₂³	1	1	yes	characteristic
598	#332	C₂³	1	1	yes	characteristic
599	#332	C₂³	1	1	yes	characteristic
600	#332	C₂³	1	1	yes	characteristic
601	#332	C₂³	1	1	yes	characteristic
602	#332	C₂³	1	1	yes	characteristic
603	#331	C₂³	1	1	yes	characteristic
604	#331	C₂³	1	1	yes	characteristic
605	#331	C₂³	1	1	yes	characteristic
606	#331	C₂³	1	1	yes	characteristic
607	Q₈⋊C₈	C₂³	1	1	yes	characteristic
608	Q₈⋊C₈	C₂³	1	1	yes	characteristic
609	Q₈⋊C₈	C₂³	1	1	yes	characteristic
610	Q₈⋊C₈	C₂³	1	1	yes	characteristic
611	D₄⋊C₈	C₂³	1	1	yes	characteristic
612	D₄⋊C₈	C₂³	1	1	yes	characteristic
613	D₄⋊C₈	C₂³	1	1	yes	characteristic
614	D₄⋊C₈	C₂³	1	1	yes	characteristic
615	D₄⋊C₈	C₂³	1	1	yes	characteristic
616	D₄⋊C₈	C₂³	1	1	yes	characteristic
617	D₄⋊C₈	C₂³	1	1	yes	characteristic
618	D₄⋊C₈	C₂³	1	1	yes	characteristic
619	D₄⋊C₈	C₂³	1	1	yes	characteristic
620	D₄⋊C₈	C₂³	1	1	yes	characteristic
621	D₄⋊C₈	C₂³	1	1	yes	characteristic
622	D₄⋊C₈	C₂³	1	1	yes	characteristic
623	#322	C₂³	1	1	yes	characteristic
624	#322	C₂³	1	1	yes	characteristic
625	#322	C₂³	1	1	yes	characteristic
626	C₈²	C₂³	1	1	yes	characteristic
627	C₂×#41	—	2	1	no	—
628	C₂×#41	—	2	1	no	—
629	C₂×#41	—	2	1	no	—
630	C₂×#41	—	2	1	no	—
631	C₂×#41	—	2	1	no	—
632	C₂×#41	—	2	1	no	—
633	C₂×#41	—	2	1	no	—
634	C₂×#41	—	2	1	no	—
635	C₂×#41	—	2	1	no	—
636	C₂×#41	—	2	1	no	—
637	C₂×#41	—	2	1	no	—
638	C₂×#41	—	2	1	no	—
639	C₂×#41	—	2	1	no	—
640	C₂×#41	—	4	1	no	—
641	C₂×#41	—	4	1	no	—
642	C₂×#41	—	4	1	no	—
643	C₂×#41	—	4	1	no	—
644	C₂×#41	—	4	4	no	—
645	C₂×#41	—	4	4	no	—
646	C₂×#41	—	8	2	no	—
647	C₂×#41	—	8	2	no	—
648	C₂×#41	C₂×D₄	1	1	yes	characteristic
649	C₂²×Q₈	—	2	1	no	—
650	C₂²×Q₈	—	2	1	no	—
651	C₂²×Q₈	—	2	1	no	—
652	C₂²×D₄	—	2	1	no	—
653	C₂²×D₄	—	2	1	no	—
654	C₂²×D₄	—	4	1	no	—
655	C₂²×D₄	—	4	1	no	—
656	C₂²×D₄	C₂×D₄	1	1	yes	characteristic
657	C₂²×D₄	C₂×D₄	1	1	yes	characteristic
658	C₂³×C₄	—	2	1	no	—
659	C₂³×C₄	—	2	1	no	—
660	C₂³×C₄	—	4	1	no	—
661	C₂³×C₄	—	4	1	no	—
662	#137	—	4	4	no	—
663	#137	—	4	4	no	—
664	#137	—	4	4	no	—
665	#137	—	4	4	no	—
666	#137	—	8	2	no	—
667	AGL(1,ℤ/8)	—	2	4	no	—
668	AGL(1,ℤ/8)	—	4	4	no	—
669	AGL(1,ℤ/8)	—	4	4	no	—
670	AGL(1,ℤ/8)	—	4	4	no	—
671	AGL(1,ℤ/8)	—	8	2	no	—
672	AGL(1,ℤ/8)	—	8	2	no	—
673	AGL(1,ℤ/8)	—	8	2	no	—
674	#135	—	4	4	no	—
675	#135	—	4	4	no	—
676	#135	—	4	4	no	—
677	#135	—	4	4	no	—
678	#135	—	4	4	no	—
679	C₂×Q₁₆	—	2	1	no	—
680	C₂×Q₁₆	—	2	1	no	—
681	C₂×Q₁₆	—	2	1	no	—
682	C₂×Q₁₆	—	2	1	no	—
683	C₂×Q₁₆	—	2	1	no	—
684	C₂×Q₁₆	—	2	1	no	—
685	C₂×Q₁₆	—	2	1	no	—
686	C₂×SD₁₆	—	2	1	no	—
687	C₂×SD₁₆	—	2	1	no	—
688	C₂×SD₁₆	—	2	1	no	—
689	C₂×SD₁₆	—	2	1	no	—
690	C₂×SD₁₆	—	2	1	no	—
691	C₂×SD₁₆	—	2	1	no	—
692	C₂×SD₁₆	—	2	1	no	—
693	C₂×SD₁₆	—	2	1	no	—
694	C₂×SD₁₆	—	2	1	no	—
695	C₂×SD₁₆	—	2	1	no	—
696	C₂×SD₁₆	—	2	1	no	—
697	C₂×SD₁₆	—	2	1	no	—
698	C₂×SD₁₆	—	2	1	no	—
699	C₂×SD₁₆	—	2	1	no	—
700	C₂×SD₁₆	—	2	1	no	—
701	C₂×SD₁₆	—	2	1	no	—
702	C₂×SD₁₆	—	2	1	no	—
703	C₂×SD₁₆	—	2	1	no	—
704	C₂×SD₁₆	C₂×D₄	1	1	yes	characteristic
705	C₂×SD₁₆	C₂×D₄	1	1	yes	characteristic
706	C₂×SD₁₆	C₂×D₄	1	1	yes	characteristic
707	C₂×SD₁₆	C₂×D₄	1	1	yes	characteristic
708	C₂×D₈	—	2	1	no	—
709	C₂×D₈	—	2	1	no	—
710	C₂×D₈	—	2	1	no	—
711	C₂×D₈	—	2	1	no	—
712	C₂×D₈	—	2	1	no	—
713	C₂×D₈	—	2	1	no	—
714	C₂×D₈	—	2	1	no	—
715	C₂×D₈	—	2	1	no	—
716	C₂×D₈	—	2	1	no	—
717	C₂×D₈	C₂×D₄	1	1	yes	characteristic
718	C₂×D₈	C₂×D₄	1	1	yes	characteristic
719	C₂×D₈	C₂×D₄	1	1	yes	characteristic
720	C₂×D₈	C₂×D₄	1	1	yes	characteristic
721	C₂×M₁₆	—	2	1	no	—
722	C₂×M₁₆	—	2	1	no	—
723	C₂×M₁₆	—	2	1	no	—
724	C₂×M₁₆	—	2	1	no	—
725	C₂×M₁₆	—	2	1	no	—
726	C₂×M₁₆	—	2	1	no	—
727	C₂×M₁₆	—	2	1	no	—
728	C₂×M₁₆	—	2	1	no	—
729	C₂×M₁₆	—	2	1	no	—
730	C₂×M₁₆	—	4	4	no	—
731	C₂×M₁₆	C₂×D₄	1	1	yes	characteristic
732	C₂×M₁₆	C₂×D₄	1	1	yes	characteristic
733	C₂²×C₈	—	2	1	no	—
734	C₂²×C₈	—	2	1	no	—
735	C₂²×C₈	—	2	1	no	—
736	C₂²×C₈	—	2	1	no	—
737	C₂²×C₈	—	2	1	no	—
738	C₄⋊Q₈	—	2	1	no	—
739	C₄⋊Q₈	—	2	1	no	—
740	C₄⋊Q₈	—	2	1	no	—
741	C₄⋊Q₈	—	2	1	no	—
742	C₄⋊Q₈	—	2	1	no	—
743	C₄⋊Q₈	—	2	1	no	—
744	C₄⋊Q₈	C₂⁴	1	1	yes	characteristic
745	C₄⋊Q₈	C₂⁴	1	1	yes	characteristic
746	C₄⋊Q₈	C₂⁴	1	1	yes	characteristic
747	C₄⋊Q₈	C₂⁴	1	1	yes	characteristic
748	C₄⋊Q₈	C₂⁴	1	1	yes	characteristic
749	C₄⋊Q₈	C₂⁴	1	1	yes	characteristic
750	#127	—	2	1	no	—
751	#127	—	2	1	no	—
752	#127	—	2	1	no	—
753	#127	—	4	1	no	—
754	#127	C₂⁴	1	1	yes	characteristic
755	#127	C₂⁴	1	1	yes	characteristic
756	#126	—	2	1	no	—
757	#126	—	4	1	no	—
758	#126	—	4	1	no	—
759	#126	—	4	1	no	—
760	#125	—	2	1	no	—
761	#125	—	2	1	no	—
762	#125	—	4	1	no	—
763	#125	—	4	1	no	—
764	#125	C₂×D₄	1	1	yes	characteristic
765	#124	—	2	1	no	—
766	#124	—	2	1	no	—
767	#124	—	2	1	no	—
768	#124	—	4	1	no	—
769	#124	—	4	1	no	—
770	#124	C₂×D₄	1	1	yes	characteristic
771	#123	—	2	1	no	—
772	#123	—	4	1	no	—
773	#123	—	4	1	no	—
774	#123	—	4	1	no	—
775	#123	—	4	1	no	—
776	#123	—	4	1	no	—
777	#123	—	4	1	no	—
778	#123	—	4	1	no	—
779	#123	—	4	1	no	—
780	#123	—	4	1	no	—
781	#123	—	4	1	no	—
782	#123	—	4	1	no	—
783	#123	—	4	1	no	—
784	#123	—	4	1	no	—
785	#123	—	4	1	no	—
786	#123	—	4	1	no	—
787	#123	—	4	1	no	—
788	#123	—	4	1	no	—
789	#123	—	4	1	no	—
790	#123	—	4	1	no	—
791	C₂²⋊Q₈	—	2	1	no	—
792	C₂²⋊Q₈	—	2	1	no	—
793	C₂²⋊Q₈	—	2	1	no	—
794	C₂²⋊Q₈	—	2	1	no	—
795	C₂²⋊Q₈	—	2	1	no	—
796	C₂²⋊Q₈	—	2	1	no	—
797	C₂²⋊Q₈	—	2	1	no	—
798	C₂²⋊Q₈	—	2	1	no	—
799	C₂²⋊Q₈	—	2	1	no	—
800	C₂²⋊Q₈	—	2	1	no	—
801	C₂²⋊Q₈	—	2	1	no	—
802	C₂²⋊Q₈	—	2	1	no	—
803	C₂²⋊Q₈	—	2	1	no	—
804	C₂²⋊Q₈	—	4	1	no	—
805	C₂²⋊Q₈	—	4	1	no	—
806	C₂²⋊Q₈	—	4	1	no	—
807	C₂²⋊Q₈	—	4	1	no	—
808	C₂²⋊Q₈	—	4	1	no	—
809	C₂²⋊Q₈	—	4	1	no	—
810	C₂²⋊Q₈	—	4	1	no	—
811	C₂²⋊Q₈	—	4	1	no	—
812	C₂²⋊Q₈	C₂×D₄	1	1	yes	characteristic
813	#121	—	2	1	no	—
814	#121	—	2	1	no	—
815	#121	—	2	1	no	—
816	#121	—	2	1	no	—
817	#121	—	2	1	no	—
818	#121	—	2	1	no	—
819	#121	—	2	1	no	—
820	#121	—	2	1	no	—
821	#121	—	2	1	no	—
822	#121	—	2	1	no	—
823	#121	—	2	1	no	—
824	#121	—	2	1	no	—
825	#121	—	2	1	no	—
826	#121	—	2	1	no	—
827	#121	—	2	1	no	—
828	#121	—	2	1	no	—
829	#121	—	2	1	no	—
830	#121	—	4	1	no	—
831	#121	—	4	1	no	—
832	#121	—	4	1	no	—
833	#121	—	4	1	no	—
834	#121	—	4	1	no	—
835	#121	—	4	1	no	—
836	#121	—	4	1	no	—
837	#121	—	4	1	no	—
838	#121	—	4	1	no	—
839	#121	—	4	1	no	—
840	#121	—	4	1	no	—
841	#121	—	4	1	no	—
842	#121	—	4	1	no	—
843	#121	C₂×D₄	1	1	yes	characteristic
844	#120	—	4	1	no	—
845	#120	—	4	1	no	—
846	#120	—	4	1	no	—
847	#120	—	4	1	no	—
848	C₄×Q₈	—	2	1	no	—
849	C₄×Q₈	—	2	1	no	—
850	C₄×Q₈	—	2	1	no	—
851	C₄×Q₈	—	2	1	no	—
852	C₄×Q₈	—	2	1	no	—
853	C₄×Q₈	C₂×D₄	1	1	yes	characteristic
854	C₄×Q₈	C₂⁴	1	1	yes	characteristic
855	C₄×Q₈	C₂⁴	1	1	yes	characteristic
856	C₄×D₄	—	2	1	no	—
857	C₄×D₄	—	2	1	no	—
858	C₄×D₄	—	2	1	no	—
859	C₄×D₄	—	2	1	no	—
860	C₄×D₄	—	2	1	no	—
861	C₄×D₄	—	2	1	no	—
862	C₄×D₄	—	2	1	no	—
863	C₄×D₄	—	2	1	no	—
864	C₄×D₄	—	2	1	no	—
865	C₄×D₄	—	2	1	no	—
866	C₄×D₄	—	2	1	no	—
867	C₄×D₄	—	2	1	no	—
868	C₄×D₄	—	2	1	no	—
869	C₄×D₄	—	2	1	no	—
870	C₄×D₄	—	2	1	no	—
871	C₄×D₄	—	2	1	no	—
872	C₄×D₄	—	4	1	no	—
873	C₄×D₄	—	4	1	no	—
874	C₄×D₄	—	4	1	no	—
875	C₄×D₄	—	4	1	no	—
876	C₄×D₄	—	4	1	no	—
877	C₄×D₄	—	4	1	no	—
878	C₄×D₄	—	4	1	no	—
879	C₄×D₄	—	4	1	no	—
880	C₄×D₄	—	4	1	no	—
881	C₄×D₄	—	4	1	no	—
882	C₄×D₄	C₂×D₄	1	1	yes	characteristic
883	C₄×D₄	C₂×D₄	1	1	yes	characteristic
884	C₄×D₄	C₂×D₄	1	1	yes	characteristic
885	C₄×D₄	C₂×D₄	1	1	yes	characteristic
886	C₄×D₄	C₂×D₄	1	1	yes	characteristic
887	C₄×D₄	C₂⁴	1	1	yes	characteristic
888	C₄×D₄	C₂⁴	1	1	yes	characteristic
889	C₄×D₄	C₂⁴	1	1	yes	characteristic
890	C₄×D₄	C₂⁴	1	1	yes	characteristic
891	C₄×D₄	C₂⁴	1	1	yes	characteristic
892	C₄×D₄	C₂⁴	1	1	yes	characteristic
893	#117	—	2	1	no	—
894	#117	—	2	1	no	—
895	#117	—	2	1	no	—
896	#117	—	2	1	no	—
897	#117	—	4	1	no	—
898	#117	—	4	1	no	—
899	#117	C₂×D₄	1	1	yes	characteristic
900	C₂×C₄⋊C₄	—	2	1	no	—
901	C₂×C₄⋊C₄	—	2	1	no	—
902	C₂×C₄⋊C₄	—	2	1	no	—
903	C₂×C₄⋊C₄	—	2	1	no	—
904	C₂×C₄⋊C₄	—	2	1	no	—
905	C₂×C₄⋊C₄	—	2	1	no	—
906	C₂×C₄⋊C₄	—	2	1	no	—
907	C₂×C₄⋊C₄	—	2	1	no	—
908	C₂×C₄⋊C₄	—	2	1	no	—
909	C₂×C₄⋊C₄	—	2	1	no	—
910	C₂×C₄⋊C₄	—	4	1	no	—
911	C₂×C₄⋊C₄	—	4	1	no	—
912	C₂×C₄⋊C₄	—	4	1	no	—
913	C₂×C₄⋊C₄	—	4	1	no	—
914	C₂×C₄⋊C₄	—	4	1	no	—
915	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
916	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
917	C₂×C₂²⋊C₄	—	2	1	no	—
918	C₂×C₂²⋊C₄	—	2	1	no	—
919	C₂×C₂²⋊C₄	—	4	1	no	—
920	C₂×C₂²⋊C₄	—	4	1	no	—
921	C₂×C₂²⋊C₄	—	4	1	no	—
922	C₂×C₄²	—	2	1	no	—
923	C₂×C₄²	C₂⁴	1	1	yes	characteristic
924	#107	—	2	1	no	—
925	#107	—	2	1	no	—
926	#107	—	2	1	no	—
927	#107	—	2	1	no	—
928	#107	—	2	1	no	—
929	#107	—	2	1	no	—
930	#107	—	2	1	no	—
931	#107	—	2	1	no	—
932	#107	—	2	1	no	—
933	#107	—	2	1	no	—
934	#107	—	2	1	no	—
935	#107	—	2	1	no	—
936	#107	—	2	1	no	—
937	#107	—	2	1	no	—
938	#107	—	4	1	no	—
939	#107	C₂×D₄	1	1	yes	characteristic
940	#107	C₂×D₄	1	1	yes	characteristic
941	#107	C₂×D₄	1	1	yes	characteristic
942	#107	C₂×D₄	1	1	yes	characteristic
943	#106	—	2	1	no	—
944	#106	—	2	1	no	—
945	#106	—	2	1	no	—
946	#106	—	2	1	no	—
947	#106	—	4	1	no	—
948	#106	—	4	1	no	—
949	#106	—	4	1	no	—
950	#106	C₂×D₄	1	1	yes	characteristic
951	#106	C₂×D₄	1	1	yes	characteristic
952	#106	C₂×D₄	1	1	yes	characteristic
953	#106	C₂×D₄	1	1	yes	characteristic
954	C₄⋊C₈	—	2	1	no	—
955	C₄⋊C₈	—	2	1	no	—
956	C₄⋊C₈	—	2	1	no	—
957	C₄⋊C₈	—	2	1	no	—
958	C₄⋊C₈	—	2	1	no	—
959	C₄⋊C₈	—	2	1	no	—
960	C₄⋊C₈	—	2	1	no	—
961	C₄⋊C₈	C₂×D₄	1	1	yes	characteristic
962	C₄⋊C₈	C₂×D₄	1	1	yes	characteristic
963	C₄⋊C₈	C₂⁴	1	1	yes	characteristic
964	C₄⋊C₈	C₂⁴	1	1	yes	characteristic
965	C₄⋊C₈	C₂⁴	1	1	yes	characteristic
966	C₄⋊C₈	C₂⁴	1	1	yes	characteristic
967	C₄⋊C₈	C₂⁴	1	1	yes	characteristic
968	C₄⋊C₈	C₂⁴	1	1	yes	characteristic
969	C₄⋊C₈	C₂⁴	1	1	yes	characteristic
970	C₄⋊C₈	C₂⁴	1	1	yes	characteristic
971	#103	—	2	1	no	—
972	#103	—	2	1	no	—
973	#103	—	2	1	no	—
974	#103	—	2	1	no	—
975	#103	—	2	1	no	—
976	#103	—	2	1	no	—
977	#103	—	2	1	no	—
978	#103	—	2	1	no	—
979	#103	—	2	1	no	—
980	#103	—	2	1	no	—
981	#103	—	2	1	no	—
982	#103	—	2	1	no	—
983	#103	—	2	1	no	—
984	#103	—	2	1	no	—
985	#103	—	2	1	no	—
986	#103	—	2	1	no	—
987	#103	—	2	1	no	—
988	#103	—	2	1	no	—
989	#103	—	2	1	no	—
990	#103	—	2	1	no	—
991	#103	—	2	1	no	—
992	#103	—	2	1	no	—
993	#103	—	2	1	no	—
994	#103	—	2	1	no	—
995	#103	C₂×D₄	1	1	yes	characteristic
996	#103	C₂×D₄	1	1	yes	characteristic
997	#103	C₂×D₄	1	1	yes	characteristic
998	#103	C₂×D₄	1	1	yes	characteristic
999	#102	—	2	1	no	—
1000	#102	—	2	1	no	—
1001	#102	—	2	1	no	—
1002	#102	—	2	1	no	—
1003	#102	—	2	1	no	—
1004	#102	—	2	1	no	—
1005	#102	—	2	1	no	—
1006	#102	—	2	1	no	—
1007	#102	—	2	1	no	—
1008	#102	—	2	1	no	—
1009	#102	—	2	1	no	—
1010	#102	—	2	1	no	—
1011	#102	—	2	1	no	—
1012	#102	—	2	1	no	—
1013	#102	—	2	1	no	—
1014	#102	—	2	1	no	—
1015	#102	—	2	1	no	—
1016	#102	—	2	1	no	—
1017	#102	—	2	1	no	—
1018	#102	—	2	1	no	—
1019	#102	—	4	1	no	—
1020	#102	—	4	1	no	—
1021	#102	—	4	1	no	—
1022	#102	—	4	1	no	—
1023	#102	C₂×D₄	1	1	yes	characteristic
1024	#102	C₂×D₄	1	1	yes	characteristic
1025	#102	C₂×D₄	1	1	yes	characteristic
1026	#102	C₂×D₄	1	1	yes	characteristic
1027	#102	C₂×D₄	1	1	yes	characteristic
1028	#102	C₂×D₄	1	1	yes	characteristic
1029	#102	C₂×D₄	1	1	yes	characteristic
1030	#102	C₂×D₄	1	1	yes	characteristic
1031	#102	C₂×D₄	1	1	yes	characteristic
1032	#102	C₂×D₄	1	1	yes	characteristic
1033	#102	C₂×D₄	1	1	yes	characteristic
1034	#102	C₂×D₄	1	1	yes	characteristic
1035	C₂²⋊C₈	—	2	1	no	—
1036	C₂²⋊C₈	—	2	1	no	—
1037	C₂²⋊C₈	—	2	1	no	—
1038	C₂²⋊C₈	—	2	1	no	—
1039	C₂²⋊C₈	—	2	1	no	—
1040	C₂²⋊C₈	—	2	1	no	—
1041	C₂²⋊C₈	—	2	1	no	—
1042	C₂²⋊C₈	—	2	1	no	—
1043	C₂²⋊C₈	—	2	1	no	—
1044	C₂²⋊C₈	—	2	1	no	—
1045	C₂²⋊C₈	—	2	1	no	—
1046	C₂²⋊C₈	—	2	1	no	—
1047	C₂²⋊C₈	—	2	1	no	—
1048	C₂²⋊C₈	—	2	1	no	—
1049	C₂²⋊C₈	—	2	1	no	—
1050	C₂²⋊C₈	C₂×D₄	1	1	yes	characteristic
1051	C₂²⋊C₈	C₂×D₄	1	1	yes	characteristic
1052	#97	—	2	1	no	—
1053	#97	—	2	1	no	—
1054	#97	C₂×D₄	1	1	yes	characteristic
1055	#97	C₂×D₄	1	1	yes	characteristic
1056	C₄×C₈	—	2	1	no	—
1057	C₄×C₈	—	2	1	no	—
1058	C₄×C₈	—	2	1	no	—
1059	C₄×C₈	—	2	1	no	—
1060	C₄×C₈	C₂⁴	1	1	yes	characteristic
1061	C₄×C₈	C₂⁴	1	1	yes	characteristic
1062	C₄×C₈	C₂⁴	1	1	yes	characteristic
1063	C₄×C₈	C₂⁴	1	1	yes	characteristic
1064	C₄×C₈	C₂⁴	1	1	yes	characteristic
1065	C₄×C₈	C₂⁴	1	1	yes	characteristic
1066	C₂⁴	—	2	1	no	—
1067	C₂⁴	—	2	1	no	—
1068	C₂⁴	—	4	1	no	—
1069	#41	—	2	2	no	—
1070	#41	—	4	1	no	—
1071	#41	—	4	2	no	—
1072	#41	—	4	2	no	—
1073	#41	—	4	2	no	—
1074	#41	—	4	2	no	—
1075	#41	—	4	2	no	—
1076	#41	—	4	2	no	—
1077	#41	—	4	2	no	—
1078	#41	—	4	2	no	—
1079	#41	—	4	2	no	—
1080	#41	—	4	2	no	—
1081	#41	—	8	1	no	—
1082	#41	—	8	1	no	—
1083	#41	—	8	4	no	—
1084	#41	—	8	1	no	—
1085	#41	—	8	1	no	—
1086	#41	—	8	1	no	—
1087	#41	—	8	1	no	—
1088	#41	—	8	1	no	—
1089	#41	—	8	1	no	—
1090	#41	—	8	1	no	—
1091	#41	—	8	1	no	—
1092	#41	—	8	4	no	—
1093	#41	—	8	4	no	—
1094	#41	—	8	4	no	—
1095	#41	—	8	1	no	—
1096	#41	—	8	1	no	—
1097	#41	—	8	1	no	—
1098	#41	—	8	1	no	—
1099	#41	—	8	1	no	—
1100	#41	—	8	1	no	—
1101	C₂×Q₈	—	2	1	no	—
1102	C₂×Q₈	—	2	1	no	—
1103	C₂×Q₈	—	2	1	no	—
1104	C₂×Q₈	—	2	1	no	—
1105	C₂×Q₈	—	2	1	no	—
1106	C₂×Q₈	—	2	1	no	—
1107	C₂×Q₈	—	4	1	no	—
1108	C₂×Q₈	—	4	1	no	—
1109	C₂×Q₈	—	4	2	no	—
1110	C₂×Q₈	—	4	2	no	—
1111	C₂×Q₈	—	4	1	no	—
1112	C₂×Q₈	—	4	2	no	—
1113	C₂×Q₈	—	8	1	no	—
1114	C₂×Q₈	—	8	1	no	—
1115	C₂×Q₈	—	8	1	no	—
1116	C₂×Q₈	C₂²×D₄	1	1	yes	characteristic
1117	C₂×Q₈	C₂²×D₄	1	1	yes	characteristic
1118	C₂×D₄	—	2	2	no	—
1119	C₂×D₄	—	2	1	no	—
1120	C₂×D₄	—	2	1	no	—
1121	C₂×D₄	—	2	1	no	—
1122	C₂×D₄	—	2	1	no	—
1123	C₂×D₄	—	2	1	no	—
1124	C₂×D₄	—	2	1	no	—
1125	C₂×D₄	—	2	1	no	—
1126	C₂×D₄	—	2	1	no	—
1127	C₂×D₄	—	2	1	no	—
1128	C₂×D₄	—	2	1	no	—
1129	C₂×D₄	—	4	1	no	—
1130	C₂×D₄	—	4	1	no	—
1131	C₂×D₄	—	4	1	no	—
1132	C₂×D₄	—	4	1	no	—
1133	C₂×D₄	—	4	1	no	—
1134	C₂×D₄	—	4	1	no	—
1135	C₂×D₄	—	4	1	no	—
1136	C₂×D₄	—	4	1	no	—
1137	C₂×D₄	—	4	1	no	—
1138	C₂×D₄	—	4	1	no	—
1139	C₂×D₄	—	4	1	no	—
1140	C₂×D₄	—	4	2	no	—
1141	C₂×D₄	—	4	2	no	—
1142	C₂×D₄	—	4	1	no	—
1143	C₂×D₄	—	4	1	no	—
1144	C₂×D₄	—	4	1	no	—
1145	C₂×D₄	—	4	1	no	—
1146	C₂×D₄	—	4	1	no	—
1147	C₂×D₄	—	4	1	no	—
1148	C₂×D₄	—	4	1	no	—
1149	C₂×D₄	—	4	1	no	—
1150	C₂×D₄	—	4	1	no	—
1151	C₂×D₄	—	4	1	no	—
1152	C₂×D₄	—	8	1	no	—
1153	C₂×D₄	—	8	1	no	—
1154	C₂×D₄	—	8	4	no	—
1155	C₂×D₄	—	8	4	no	—
1156	C₂×D₄	C₂²×D₄	1	1	yes	characteristic
1157	C₂×D₄	C₂²×D₄	1	1	yes	characteristic
1158	C₂×D₄	C₂²×D₄	1	1	yes	characteristic
1159	C₂×D₄	C₂²×D₄	1	1	yes	characteristic
1160	C₂×D₄	C₂²×D₄	1	1	yes	characteristic
1161	C₂×D₄	C₂²×D₄	1	1	yes	characteristic
1162	C₂²×C₄	—	2	1	no	—
1163	C₂²×C₄	—	2	1	no	—
1164	C₂²×C₄	—	2	1	no	—
1165	C₂²×C₄	—	2	1	no	—
1166	C₂²×C₄	—	2	1	no	—
1167	C₂²×C₄	—	2	1	no	—
1168	C₂²×C₄	—	2	1	no	—
1169	C₂²×C₄	—	2	1	no	—
1170	C₂²×C₄	—	2	1	no	—
1171	C₂²×C₄	—	2	1	no	—
1172	C₂²×C₄	—	2	1	no	—
1173	C₂²×C₄	—	2	1	no	—
1174	C₂²×C₄	—	2	1	no	—
1175	C₂²×C₄	—	2	1	no	—
1176	C₂²×C₄	—	4	1	no	—
1177	C₂²×C₄	—	4	1	no	—
1178	C₂²×C₄	—	4	1	no	—
1179	C₂²×C₄	—	4	2	no	—
1180	C₂²×C₄	—	4	2	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	—	8	1	no	—
1195	C₂²×C₄	—	8	1	no	—
1196	C₂²×C₄	—	8	4	no	—
1197	C₂²×C₄	—	8	4	no	—
1198	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1199	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1200	C₂²×C₄	H(5,𝔽₂)	1	1	yes	characteristic
1201	Q₁₆	—	4	2	no	—
1202	Q₁₆	—	4	2	no	—
1203	Q₁₆	—	4	2	no	—
1204	Q₁₆	—	4	2	no	—
1205	Q₁₆	—	4	2	no	—
1206	Q₁₆	—	8	1	no	—
1207	Q₁₆	—	8	1	no	—
1208	SD₁₆	—	2	2	no	—
1209	SD₁₆	—	4	1	no	—
1210	SD₁₆	—	4	1	no	—
1211	SD₁₆	—	4	2	no	—
1212	SD₁₆	—	4	2	no	—
1213	SD₁₆	—	4	2	no	—
1214	SD₁₆	—	4	2	no	—
1215	SD₁₆	—	4	2	no	—
1216	SD₁₆	—	4	2	no	—
1217	SD₁₆	—	4	2	no	—
1218	SD₁₆	—	4	2	no	—
1219	SD₁₆	—	8	1	no	—
1220	SD₁₆	—	8	1	no	—
1221	SD₁₆	—	8	1	no	—
1222	SD₁₆	—	8	1	no	—
1223	SD₁₆	—	8	1	no	—
1224	SD₁₆	—	8	1	no	—
1225	SD₁₆	—	8	1	no	—
1226	SD₁₆	—	8	1	no	—
1227	SD₁₆	—	8	1	no	—
1228	SD₁₆	—	8	1	no	—
1229	SD₁₆	AGL(1,ℤ/8)	1	4	yes	complemented
1230	D₈	—	2	2	no	—
1231	D₈	—	2	2	no	—
1232	D₈	—	4	1	no	—
1233	D₈	—	4	1	no	—
1234	D₈	—	4	2	no	—
1235	D₈	—	4	2	no	—
1236	D₈	—	4	2	no	—
1237	D₈	—	4	2	no	—
1238	D₈	—	8	1	no	—
1239	D₈	—	8	1	no	—
1240	D₈	—	8	1	no	—
1241	D₈	—	8	1	no	—
1242	D₈	—	8	1	no	—
1243	M₁₆	—	2	2	no	—
1244	M₁₆	—	4	1	no	—
1245	M₁₆	—	4	2	no	—
1246	M₁₆	—	4	2	no	—
1247	M₁₆	—	4	2	no	—
1248	M₁₆	—	8	1	no	—
1249	M₁₆	—	8	1	no	—
1250	M₁₆	—	8	1	no	—
1251	M₁₆	—	8	1	no	—
1252	M₁₆	—	8	1	no	—
1253	M₁₆	—	8	1	no	—
1254	C₂×C₈	—	2	1	no	—
1255	C₂×C₈	—	2	1	no	—
1256	C₂×C₈	—	2	1	no	—
1257	C₂×C₈	—	2	1	no	—
1258	C₂×C₈	—	2	1	no	—
1259	C₂×C₈	—	2	1	no	—
1260	C₂×C₈	—	2	1	no	—
1261	C₂×C₈	—	2	1	no	—
1262	C₂×C₈	—	2	1	no	—
1263	C₂×C₈	—	2	1	no	—
1264	C₂×C₈	—	4	2	no	—
1265	C₂×C₈	—	4	2	no	—
1266	C₂×C₈	—	4	2	no	—
1267	C₂×C₈	—	8	1	no	—
1268	C₂×C₈	—	8	1	no	—
1269	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1270	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1271	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1272	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1273	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1274	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1275	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1276	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1277	C₄⋊C₄	—	2	1	no	—
1278	C₄⋊C₄	—	2	1	no	—
1279	C₄⋊C₄	—	2	1	no	—
1280	C₄⋊C₄	—	2	1	no	—
1281	C₄⋊C₄	—	2	1	no	—
1282	C₄⋊C₄	—	2	1	no	—
1283	C₄⋊C₄	—	2	1	no	—
1284	C₄⋊C₄	—	2	1	no	—
1285	C₄⋊C₄	—	2	1	no	—
1286	C₄⋊C₄	—	2	1	no	—
1287	C₄⋊C₄	—	2	1	no	—
1288	C₄⋊C₄	—	2	1	no	—
1289	C₄⋊C₄	—	2	1	no	—
1290	C₄⋊C₄	—	2	1	no	—
1291	C₄⋊C₄	—	2	1	no	—
1292	C₄⋊C₄	—	2	1	no	—
1293	C₄⋊C₄	—	2	1	no	—
1294	C₄⋊C₄	—	2	1	no	—
1295	C₄⋊C₄	—	2	1	no	—
1296	C₄⋊C₄	—	2	1	no	—
1297	C₄⋊C₄	—	4	1	no	—
1298	C₄⋊C₄	—	4	1	no	—
1299	C₄⋊C₄	—	4	1	no	—
1300	C₄⋊C₄	—	4	1	no	—
1301	C₄⋊C₄	—	4	1	no	—
1302	C₄⋊C₄	—	4	1	no	—
1303	C₄⋊C₄	—	4	1	no	—
1304	C₄⋊C₄	—	4	1	no	—
1305	C₄⋊C₄	—	4	1	no	—
1306	C₄⋊C₄	—	4	1	no	—
1307	C₄⋊C₄	—	4	1	no	—
1308	C₄⋊C₄	—	4	1	no	—
1309	C₄⋊C₄	—	4	1	no	—
1310	C₄⋊C₄	—	4	1	no	—
1311	C₄⋊C₄	—	4	1	no	—
1312	C₄⋊C₄	—	4	1	no	—
1313	C₄⋊C₄	—	4	1	no	—
1314	C₄⋊C₄	—	4	1	no	—
1315	C₄⋊C₄	C₂²×D₄	1	1	yes	characteristic
1316	C₄⋊C₄	C₂²×D₄	1	1	yes	characteristic
1317	C₄⋊C₄	C₂²×D₄	1	1	yes	characteristic
1318	C₄⋊C₄	C₂²×D₄	1	1	yes	characteristic
1319	C₄⋊C₄	C₂²×D₄	1	1	yes	characteristic
1320	C₄⋊C₄	C₂²×D₄	1	1	yes	characteristic
1321	C₄⋊C₄	C₂²×D₄	1	1	yes	characteristic
1322	C₄⋊C₄	C₂²×D₄	1	1	yes	characteristic
1323	C₂²⋊C₄	—	2	1	no	—
1324	C₂²⋊C₄	—	2	1	no	—
1325	C₂²⋊C₄	—	2	1	no	—
1326	C₂²⋊C₄	—	2	1	no	—
1327	C₂²⋊C₄	—	2	1	no	—
1328	C₂²⋊C₄	—	2	1	no	—
1329	C₂²⋊C₄	—	2	1	no	—
1330	C₂²⋊C₄	—	2	1	no	—
1331	C₂²⋊C₄	—	2	1	no	—
1332	C₂²⋊C₄	—	2	1	no	—
1333	C₂²⋊C₄	—	2	1	no	—
1334	C₂²⋊C₄	—	2	1	no	—
1335	C₂²⋊C₄	—	2	1	no	—
1336	C₂²⋊C₄	—	2	1	no	—
1337	C₂²⋊C₄	—	2	1	no	—
1338	C₂²⋊C₄	—	2	1	no	—
1339	C₂²⋊C₄	—	4	1	no	—
1340	C₂²⋊C₄	—	4	1	no	—
1341	C₂²⋊C₄	—	4	1	no	—
1342	C₂²⋊C₄	—	4	1	no	—
1343	C₂²⋊C₄	—	4	1	no	—
1344	C₂²⋊C₄	—	4	1	no	—
1345	C₂²⋊C₄	—	4	1	no	—
1346	C₂²⋊C₄	—	4	1	no	—
1347	C₂²⋊C₄	—	4	1	no	—
1348	C₂²⋊C₄	—	4	1	no	—
1349	C₂²⋊C₄	—	4	1	no	—
1350	C₂²⋊C₄	—	4	1	no	—
1351	C₂²⋊C₄	—	4	1	no	—
1352	C₂²⋊C₄	—	4	1	no	—
1353	C₂²⋊C₄	—	4	1	no	—
1354	C₂²⋊C₄	—	4	1	no	—
1355	C₂²⋊C₄	—	4	1	no	—
1356	C₂²⋊C₄	—	4	1	no	—
1357	C₂²⋊C₄	—	4	1	no	—
1358	C₂²⋊C₄	—	4	1	no	—
1359	C₂²⋊C₄	—	4	1	no	—
1360	C₄²	—	2	1	no	—
1361	C₄²	—	2	1	no	—
1362	C₄²	—	2	1	no	—
1363	C₄²	—	2	1	no	—
1364	C₄²	—	4	1	no	—
1365	C₄²	—	4	1	no	—
1366	C₄²	—	4	1	no	—
1367	C₄²	C₂²×D₄	1	1	yes	characteristic
1368	C₄²	C₂²×D₄	1	1	yes	characteristic
1369	C₄²	H(5,𝔽₂)	1	1	yes	characteristic
1370	C₄²	C₂⁵	1	1	yes	characteristic
1371	C₂³	—	2	1	no	—
1372	C₂³	—	2	1	no	—
1373	C₂³	—	2	1	no	—
1374	C₂³	—	2	1	no	—
1375	C₂³	—	2	1	no	—
1376	C₂³	—	2	1	no	—
1377	C₂³	—	4	2	no	—
1378	C₂³	—	4	2	no	—
1379	C₂³	—	4	2	no	—
1380	C₂³	—	4	1	no	—
1381	C₂³	—	4	1	no	—
1382	C₂³	—	8	1	no	—
1383	C₂³	—	8	1	no	—
1384	C₂³	—	8	1	no	—
1385	C₂³	—	8	2	no	—
1386	C₂³	—	8	2	no	—
1387	C₂³	—	16	1	no	—
1388	C₂³	D₄²	1	1	yes	characteristic
1389	Q₈	—	2	1	no	—
1390	Q₈	—	2	1	no	—
1391	Q₈	—	2	1	no	—
1392	Q₈	—	4	1	no	—
1393	Q₈	—	4	1	no	—
1394	Q₈	—	4	1	no	—
1395	Q₈	—	4	1	no	—
1396	Q₈	—	4	1	no	—
1397	Q₈	—	4	1	no	—
1398	Q₈	—	4	1	no	—
1399	Q₈	—	4	1	no	—
1400	Q₈	—	4	1	no	—
1401	Q₈	—	4	1	no	—
1402	Q₈	—	4	1	no	—
1403	Q₈	—	4	1	no	—
1404	Q₈	—	8	2	no	—
1405	Q₈	—	8	2	no	—
1406	Q₈	—	16	1	no	—
1407	Q₈	C₂×AGL(1,ℤ/8)	1	2	yes	—
1408	D₄	—	2	1	no	—
1409	D₄	—	2	1	no	—
1410	D₄	—	2	1	no	—
1411	D₄	—	2	1	no	—
1412	D₄	—	2	1	no	—
1413	D₄	—	2	1	no	—
1414	D₄	—	2	1	no	—
1415	D₄	—	2	1	no	—
1416	D₄	—	2	1	no	—
1417	D₄	—	2	1	no	—
1418	D₄	—	2	1	no	—
1419	D₄	—	4	2	no	—
1420	D₄	—	4	2	no	—
1421	D₄	—	4	1	no	—
1422	D₄	—	4	1	no	—
1423	D₄	—	4	1	no	—
1424	D₄	—	4	1	no	—
1425	D₄	—	4	1	no	—
1426	D₄	—	4	1	no	—
1427	D₄	—	4	1	no	—
1428	D₄	—	4	1	no	—
1429	D₄	—	8	1	no	—
1430	D₄	—	8	2	no	—
1431	D₄	—	8	2	no	—
1432	D₄	—	8	1	no	—
1433	D₄	—	8	1	no	—
1434	D₄	—	8	1	no	—
1435	D₄	—	8	2	no	—
1436	D₄	—	8	2	no	—
1437	D₄	—	8	2	no	—
1438	D₄	—	8	2	no	—
1439	D₄	—	8	2	no	—
1440	D₄	—	8	2	no	—
1441	D₄	—	8	2	no	—
1442	D₄	—	8	2	no	—
1443	D₄	—	8	2	no	—
1444	D₄	—	16	1	no	—
1445	D₄	—	16	1	no	—
1446	D₄	—	16	1	no	—
1447	D₄	—	16	1	no	—
1448	D₄	—	16	1	no	—
1449	D₄	—	16	1	no	—
1450	D₄	—	16	1	no	—
1451	D₄	C₂×AGL(1,ℤ/8)	1	2	yes	—
1452	C₂×C₄	—	2	1	no	—
1453	C₂×C₄	—	2	1	no	—
1454	C₂×C₄	—	2	1	no	—
1455	C₂×C₄	—	2	1	no	—
1456	C₂×C₄	—	2	1	no	—
1457	C₂×C₄	—	2	1	no	—
1458	C₂×C₄	—	2	1	no	—
1459	C₂×C₄	—	2	1	no	—
1460	C₂×C₄	—	2	1	no	—
1461	C₂×C₄	—	2	1	no	—
1462	C₂×C₄	—	2	1	no	—
1463	C₂×C₄	—	2	1	no	—
1464	C₂×C₄	—	2	1	no	—
1465	C₂×C₄	—	2	1	no	—
1466	C₂×C₄	—	4	1	no	—
1467	C₂×C₄	—	4	2	no	—
1468	C₂×C₄	—	4	2	no	—
1469	C₂×C₄	—	4	2	no	—
1470	C₂×C₄	—	4	2	no	—
1471	C₂×C₄	—	4	1	no	—
1472	C₂×C₄	—	4	1	no	—
1473	C₂×C₄	—	4	1	no	—
1474	C₂×C₄	—	4	1	no	—
1475	C₂×C₄	—	4	1	no	—
1476	C₂×C₄	—	4	1	no	—
1477	C₂×C₄	—	4	1	no	—
1478	C₂×C₄	—	4	1	no	—
1479	C₂×C₄	—	4	1	no	—
1480	C₂×C₄	—	4	1	no	—
1481	C₂×C₄	—	4	1	no	—
1482	C₂×C₄	—	4	1	no	—
1483	C₂×C₄	—	4	1	no	—
1484	C₂×C₄	—	4	1	no	—
1485	C₂×C₄	—	4	1	no	—
1486	C₂×C₄	—	4	1	no	—
1487	C₂×C₄	—	4	1	no	—
1488	C₂×C₄	—	4	1	no	—
1489	C₂×C₄	—	8	1	no	—
1490	C₂×C₄	—	8	1	no	—
1491	C₂×C₄	—	8	1	no	—
1492	C₂×C₄	—	8	2	no	—
1493	C₂×C₄	—	8	2	no	—
1494	C₂×C₄	—	8	2	no	—
1495	C₂×C₄	—	8	2	no	—
1496	C₂×C₄	—	8	1	no	—
1497	C₂×C₄	—	8	2	no	—
1498	C₂×C₄	—	8	2	no	—
1499	C₂×C₄	—	8	2	no	—
1500	C₂×C₄	—	8	2	no	—
1501	C₂×C₄	—	8	2	no	—
1502	C₂×C₄	—	8	2	no	—
1503	C₂×C₄	—	8	2	no	—
1504	C₂×C₄	—	16	1	no	—
1505	C₂×C₄	—	16	1	no	—
1506	C₂×C₄	—	16	1	no	—
1507	C₂×C₄	—	16	1	no	—
1508	C₂×C₄	—	16	1	no	—
1509	C₂×C₄	D₄²	1	1	yes	characteristic
1510	C₂×C₄	D₄²	1	1	yes	characteristic
1511	C₂×C₄	D₄²	1	1	yes	characteristic
1512	C₂×C₄	C₂³×D₄	1	1	yes	characteristic
1513	C₂×C₄	C₂³×D₄	1	1	yes	characteristic
1514	C₂×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1515	C₈	—	2	1	no	—
1516	C₈	—	2	1	no	—
1517	C₈	—	2	1	no	—
1518	C₈	—	2	1	no	—
1519	C₈	—	2	1	no	—
1520	C₈	—	2	1	no	—
1521	C₈	—	2	1	no	—
1522	C₈	—	4	1	no	—
1523	C₈	—	4	1	no	—
1524	C₈	—	4	1	no	—
1525	C₈	—	4	1	no	—
1526	C₈	—	4	1	no	—
1527	C₈	—	4	1	no	—
1528	C₈	—	4	1	no	—
1529	C₈	—	4	1	no	—
1530	C₈	—	4	1	no	—
1531	C₈	—	4	1	no	—
1532	C₈	C₂×AGL(1,ℤ/8)	1	2	yes	—
1533	C₂²	—	2	1	no	—
1534	C₂²	—	2	2	no	—
1535	C₂²	—	2	1	no	—
1536	C₂²	—	2	1	no	—
1537	C₂²	—	4	1	no	—
1538	C₂²	—	4	1	no	—
1539	C₂²	—	4	1	no	—
1540	C₂²	—	4	1	no	—
1541	C₂²	—	4	1	no	—
1542	C₂²	—	4	1	no	—
1543	C₂²	—	4	1	no	—
1544	C₂²	—	4	1	no	—
1545	C₂²	—	4	1	no	—
1546	C₂²	—	4	1	no	—
1547	C₂²	—	4	1	no	—
1548	C₂²	—	4	1	no	—
1549	C₂²	—	4	1	no	—
1550	C₂²	—	4	1	no	—
1551	C₂²	—	4	1	no	—
1552	C₂²	—	4	1	no	—
1553	C₂²	—	4	1	no	—
1554	C₂²	—	8	4	no	—
1555	C₂²	—	8	1	no	—
1556	C₂²	—	8	1	no	—
1557	C₂²	—	8	1	no	—
1558	C₂²	—	8	1	no	—
1559	C₂²	—	8	1	no	—
1560	C₂²	—	8	1	no	—
1561	C₂²	—	16	2	no	—
1562	C₂²	—	16	4	no	—
1563	C₂²	C₂×D₄²	1	1	yes	characteristic
1564	C₄	—	2	1	no	—
1565	C₄	—	2	2	no	—
1566	C₄	—	2	1	no	—
1567	C₄	—	2	1	no	—
1568	C₄	—	2	1	no	—
1569	C₄	—	4	1	no	—
1570	C₄	—	4	1	no	—
1571	C₄	—	4	1	no	—
1572	C₄	—	4	1	no	—
1573	C₄	—	4	1	no	—
1574	C₄	—	4	1	no	—
1575	C₄	—	4	1	no	—
1576	C₄	—	4	1	no	—
1577	C₄	—	4	1	no	—
1578	C₄	—	8	1	no	—
1579	C₄	—	8	1	no	—
1580	C₄	—	8	1	no	—
1581	C₄	—	8	1	no	—
1582	C₄	—	8	1	no	—
1583	C₄	—	8	1	no	—
1584	C₄	C₂²×AGL(1,ℤ/8)	1	1	yes	characteristic
1585	C₄	#3584	1	1	yes	characteristic
1586	C₄	#3585	1	1	yes	characteristic
1587	C₄	#3585	1	1	yes	characteristic
1588	C₂	—	4	1	no	—
1589	C₂	—	4	2	no	—
1590	C₂	—	8	1	no	—
1591	C₂	—	8	1	no	—
1592	C₂	—	8	1	no	—
1593	C₂	—	8	1	no	—
1594	C₂	—	8	1	no	—
1595	C₂	—	16	1	no	—
1596	C₂	—	16	1	no	—
1597	C₂	D₄×AGL(1,ℤ/8)	1	1	yes	characteristic
1598	C₂	#61074	1	1	yes	characteristic
1599	C₂	#61108	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²	C₂×D₄²
commutator, Frattini, cosocle	C₄²	C₂⁵
LCS	G ▷ C₄² ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂² ◁ C₂×C₄² ◁ G
LECS	G ▷ C₄² ▷ C₂² ▷ C₁

Complements

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

N	H ≅ G/N	type
1. #62003	C₂	semidirect
2. #61737	C₂	semidirect
3. #61545	C₂	semidirect
4. #61067	C₂	semidirect
5. #20309	C₂	semidirect
6. #20240	C₂	semidirect
7. #20171	C₂	semidirect
8. #20163	C₂	semidirect
9. #20163	C₂	semidirect
10. #20089	C₂	semidirect
11. #20063	C₂	semidirect
12. #20056	C₂	semidirect
13. #20030	C₂	semidirect
14. #19972	C₂	semidirect
15. #19902	C₂	semidirect
16. #19894	C₂	semidirect
17. #19876	C₂	semidirect
18. #19779	C₂	semidirect
19. #19767	C₂	semidirect
20. #19760	C₂	semidirect
21. #19725	C₂	semidirect
22. #19502	C₂	semidirect
23. #19461	C₂	semidirect
24. #19377	C₂	semidirect
25. #19304	C₂	semidirect
26. #18858	C₂	semidirect
27. #18822	C₂	semidirect
28. #18806	C₂	semidirect
29. #18782	C₂	semidirect
30. #18052	C₂	semidirect
31. #18006	C₂	semidirect
33. #3520	C₂²	semidirect
37. #3397	C₂²	semidirect
38. #3392	C₂²	semidirect
39. #3391	C₂²	semidirect
40. #3386	C₂²	semidirect
41. #3364	C₂²	semidirect
42. #3359	C₂²	semidirect
43. #3358	C₂²	semidirect
44. #3358	C₂²	semidirect
46. #3353	C₂²	semidirect
51. #3334	C₂²	semidirect
52. #3334	C₂²	semidirect
55. #3332	C₂²	semidirect
56. #3332	C₂²	semidirect
59. #3330	C₂²	semidirect
60. #3330	C₂²	semidirect
61. #3330	C₂²	semidirect
66. #3298	C₂²	semidirect
69. #3284	C₂²	semidirect
75. #3274	C₂²	semidirect
79. #3272	C₂²	semidirect
87. #3239	C₂²	semidirect
88. #3230	C₂²	semidirect
90. #3227	C₂²	semidirect
95. #3182	C₂²	semidirect
104. #3100	C₂²	semidirect
115. #2974	C₂²	semidirect
116. #2969	C₂²	semidirect
120. #1723	C₂²	semidirect
121. #1722	C₂²	semidirect
122. #1720	C₂²	semidirect
123. #1717	C₂²	semidirect
124. #1714	C₂²	semidirect
125. #1714	C₂²	semidirect
126. #1707	C₂²	semidirect
127. #1706	C₂²	semidirect
128. #1701	C₂²	semidirect
129. #1701	C₂²	semidirect
130. #1699	C₂²	semidirect
131. #1699	C₂²	semidirect
132. #1699	C₂²	semidirect
133. #1699	C₂²	semidirect
134. #1693	C₂²	semidirect
135. #1693	C₂²	semidirect
136. #1693	C₂²	semidirect
137. #1690	C₂²	semidirect
138. #1689	C₂²	semidirect
139. #1687	C₂²	semidirect
140. #1686	C₂²	semidirect
141. #1685	C₂²	semidirect
142. #1685	C₂²	semidirect
143. #1685	C₂²	semidirect
144. #1681	C₂²	semidirect
145. #1681	C₂²	semidirect
146. #1680	C₂²	semidirect
147. #1680	C₂²	semidirect
148. #1679	C₂²	semidirect
149. #1679	C₂²	semidirect
150. #1674	C₂²	semidirect
151. #1674	C₂²	semidirect
152. #1673	C₂²	semidirect
153. #1670	C₂²	semidirect
154. #1669	C₂²	semidirect
155. #1667	C₂²	semidirect
156. #1666	C₂²	semidirect
157. #1665	C₂²	semidirect
158. #1665	C₂²	semidirect
159. #1665	C₂²	semidirect
162. #1654	C₂²	semidirect
163. #1654	C₂²	semidirect
164. #1654	C₂²	semidirect
165. #1654	C₂²	semidirect
166. #1654	C₂²	semidirect
167. #1654	C₂²	semidirect
168. #1653	C₂²	semidirect
169. #1653	C₂²	semidirect
170. #1651	C₂²	semidirect
171. #1651	C₂²	semidirect
172. #1650	C₂²	semidirect
173. #1649	C₂²	semidirect
174. #1647	C₂²	semidirect
175. #1647	C₂²	semidirect
176. #1642	C₂²	semidirect
177. #1642	C₂²	semidirect
178. #1642	C₂²	semidirect
179. #1641	C₂²	semidirect
180. #1641	C₂²	semidirect
181. #1641	C₂²	semidirect
182. #1639	C₂²	semidirect
183. #1639	C₂²	semidirect
184. #1628	C₂²	semidirect
185. #1627	C₂²	semidirect
188. #1625	C₂²	semidirect
189. #1625	C₂²	semidirect
190. #1625	C₂²	semidirect
191. #1625	C₂²	semidirect
192. #1594	C₂²	semidirect
193. #1594	C₂²	semidirect
194. #1590	C₂²	semidirect
195. #1589	C₂²	semidirect
196. #1588	C₂²	semidirect
197. #1588	C₂²	semidirect
198. #1586	C₂²	semidirect
199. #1586	C₂²	semidirect
200. #1583	C₂²	semidirect
201. #1582	C₂²	semidirect
202. #1581	C₂²	semidirect
203. #1581	C₂²	semidirect
204. SD₁₆⋊C₈	C₂²	semidirect
205. SD₁₆⋊C₈	C₂²	semidirect
206. C₈×SD₁₆	C₂²	semidirect
207. C₈×D₈	C₂²	semidirect
208. #1574	C₂²	semidirect
209. #1569	C₂²	semidirect
210. #1561	C₂²	semidirect
211. #1557	C₂²	semidirect
213. #1549	C₂²	semidirect
214. #1495	C₂²	semidirect
216. #1486	C₂²	semidirect
218. #1453	C₂²	semidirect
1229. SD₁₆	AGL(1,ℤ/8)	semidirect

Maximal subgroups

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

subgroup	index
#62003	2
#61737	2
#61545	2
#61067	2
#20309	2
#20240	2
#20171	2
#20163	2
#20089	2
#20063	2
#20056	2
#20030	2
#19972	2
#19902	2
#19894	2
#19876	2
#19779	2
#19767	2
#19760	2
#19725	2
#19502	2
#19461	2
#19377	2
#19304	2
#18858	2
#18822	2
#18806	2
#18782	2
#18052	2
#18006	2