Subgroups — #6359307

Order 512.

1646 conjugacy classes of subgroups.

The subgroup lattice has 1566 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#62419	C₂	1	1	yes	maximal, characteristic, complemented
2	#62250	C₂	1	1	yes	maximal, characteristic, complemented
3	#61553	C₂	1	1	yes	maximal, characteristic, complemented
4	#61539	C₂	1	1	yes	maximal, characteristic, complemented
5	#20017	C₂	1	1	yes	maximal, characteristic, complemented
6	#19999	C₂	1	1	yes	maximal, characteristic, complemented
7	#19970	C₂	1	1	yes	maximal, characteristic, complemented
8	D₈×SD₁₆	C₂	1	1	yes	maximal, characteristic, complemented
9	#19947	C₂	1	1	yes	maximal, characteristic, complemented
10	#19912	C₂	1	1	yes	maximal, characteristic, complemented
11	#19910	C₂	1	1	yes	maximal, characteristic, complemented
12	#19890	C₂	1	1	yes	maximal, characteristic, complemented
13	#19871	C₂	1	1	yes	maximal, characteristic, complemented
14	#19863	C₂	1	1	yes	maximal, characteristic, complemented
15	#19841	C₂	1	1	yes	maximal, characteristic, complemented
16	#19835	C₂	1	1	yes	maximal, characteristic, complemented
17	#19811	C₂	1	1	yes	maximal, characteristic, complemented
18	#19777	C₂	1	1	yes	maximal, characteristic, complemented
19	#19771	C₂	1	1	yes	maximal, characteristic, complemented
20	#19755	C₂	1	1	yes	maximal, characteristic, complemented
21	#19641	C₂	1	1	yes	maximal, characteristic, complemented
22	#19250	C₂	1	1	yes	maximal, characteristic, complemented
23	#19246	C₂	1	1	yes	maximal, characteristic, complemented
24	#19127	C₂	1	1	yes	maximal, characteristic, complemented
25	#19101	C₂	1	1	yes	maximal, characteristic, complemented
26	#18900	C₂	1	1	yes	maximal, characteristic, complemented
27	#18890	C₂	1	1	yes	maximal, characteristic, complemented
28	#18878	C₂	1	1	yes	maximal, characteristic, complemented
29	#18866	C₂	1	1	yes	maximal, characteristic, complemented
30	#18070	C₂	1	1	yes	maximal, characteristic, complemented
31	C₈×AGL(1,ℤ/8)	C₂	1	1	yes	maximal, characteristic, complemented
32	#3520	C₂²	1	1	yes	characteristic, complemented
33	#3519	C₂²	1	1	yes	characteristic, complemented
34	#3514	C₂²	1	1	yes	characteristic
35	#3514	C₂²	1	1	yes	characteristic, complemented
36	#3399	C₂²	1	1	yes	characteristic, complemented
37	#3396	C₂²	1	1	yes	characteristic, complemented
38	#3394	C₂²	1	1	yes	characteristic, complemented
39	#3394	C₂²	1	1	yes	characteristic, complemented
40	#3394	C₂²	1	1	yes	characteristic, complemented
41	#3393	C₂²	1	1	yes	characteristic, complemented
42	#3384	C₂²	1	1	yes	characteristic
43	Q₈×D₈	C₂²	1	1	yes	characteristic
44	#3373	C₂²	1	1	yes	characteristic, complemented
45	#3367	C₂²	1	1	yes	characteristic, complemented
46	#3361	C₂²	1	1	yes	characteristic, complemented
47	#3358	C₂²	1	1	yes	characteristic
48	#3357	—	2	1	no	—
49	#3353	C₂²	1	1	yes	characteristic, complemented
50	#3347	—	2	1	no	—
51	#3340	C₂²	1	1	yes	characteristic, complemented
52	#3340	C₂²	1	1	yes	characteristic, complemented
53	#3337	—	2	1	no	—
54	#3335	C₂²	1	1	yes	characteristic, complemented
55	#3325	—	2	1	no	—
56	#3325	C₂²	1	1	yes	characteristic
57	#3324	C₂²	1	1	yes	characteristic, complemented
58	#3322	—	2	1	no	—
59	#3319	—	2	1	no	—
60	#3314	—	2	1	no	—
61	#3304	C₂²	1	1	yes	characteristic, complemented
62	#3303	C₂²	1	1	yes	characteristic
63	#3302	C₂²	1	1	yes	characteristic, complemented
64	#3301	—	2	1	no	—
65	#3299	C₂²	1	1	yes	characteristic, complemented
66	#3296	—	2	1	no	—
67	#3294	C₂²	1	1	yes	characteristic
68	#3294	C₂²	1	1	yes	characteristic, complemented
69	D₄×Q₁₆	C₂²	1	1	yes	characteristic, complemented
70	#3285	—	2	1	no	—
71	#3284	C₂²	1	1	yes	characteristic, complemented
72	#3282	—	2	1	no	—
73	#3282	—	2	1	no	—
74	#3282	—	2	1	no	—
75	D₄×SD₁₆	C₂²	1	1	yes	characteristic, complemented
76	D₄×SD₁₆	C₂²	1	1	yes	characteristic, complemented
77	D₄×SD₁₆	C₂²	1	1	yes	characteristic, complemented
78	#3280	—	2	1	no	—
79	D₄×D₈	C₂²	1	1	yes	characteristic
80	D₄×D₈	C₂²	1	1	yes	characteristic, complemented
81	#3273	—	2	1	no	—
82	#3272	C₂²	1	1	yes	characteristic
83	#3264	—	2	1	no	—
84	#3248	C₂²	1	1	yes	characteristic, complemented
85	#3247	C₂²	1	1	yes	characteristic, complemented
86	#3228	C₂²	1	1	yes	characteristic, complemented
87	#3212	C₂²	1	1	yes	characteristic
88	#3212	C₂²	1	1	yes	characteristic, complemented
89	#3211	—	2	1	no	—
90	#3211	—	2	1	no	—
91	#3207	C₂²	1	1	yes	characteristic, complemented
92	#3190	—	2	1	no	—
93	#3188	—	2	1	no	—
94	#3184	C₂²	1	1	yes	characteristic, complemented
95	#3182	C₂²	1	1	yes	characteristic, complemented
96	#3179	—	2	1	no	—
97	#3175	—	2	1	no	—
98	#3168	—	2	1	no	—
99	#3168	C₂²	1	1	yes	characteristic
100	#3167	C₂²	1	1	yes	characteristic, complemented
101	#3147	C₂²	1	1	yes	characteristic, complemented
102	C₂×#495	—	2	1	no	—
103	#3124	—	2	1	no	—
104	#3122	—	2	1	no	—
105	#3118	—	2	1	no	—
106	#3118	—	2	1	no	—
107	#3107	C₂²	1	1	yes	characteristic, complemented
108	#3106	C₂²	1	1	yes	characteristic
109	#3100	C₂²	1	1	yes	characteristic, complemented
110	#3100	C₂²	1	1	yes	characteristic, complemented
111	#3050	—	2	1	no	—
112	C₂×#465	—	2	1	no	—
113	#2969	C₂²	1	1	yes	characteristic, complemented
114	#2969	C₂²	1	1	yes	characteristic, complemented
115	C₈×#41	C₂²	1	1	yes	characteristic, complemented
116	#2948	—	2	1	no	—
117	#2946	—	2	1	no	—
118	C₄×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
119	C₂×C₈×D₄	C₂²	1	1	yes	characteristic, complemented
120	#1723	C₂²	1	1	yes	characteristic, complemented
121	#1721	C₂²	1	1	yes	characteristic, complemented
122	#1720	C₂²	1	1	yes	characteristic, complemented
123	#1717	C₂²	1	1	yes	characteristic, complemented
124	#1708	C₂²	1	1	yes	characteristic, complemented
125	#1706	C₂²	1	1	yes	characteristic, complemented
126	#1706	C₂²	1	1	yes	characteristic, complemented
127	#1705	C₂²	1	1	yes	characteristic, complemented
128	#1702	C₂²	1	1	yes	characteristic, complemented
129	#1701	C₂²	1	1	yes	characteristic, complemented
130	#1699	C₂²	1	1	yes	characteristic, complemented
131	#1698	C₂²	1	1	yes	characteristic, complemented
132	#1694	C₂²	1	1	yes	characteristic, complemented
133	#1691	C₂²	1	1	yes	characteristic, complemented
134	#1687	C₂²	1	1	yes	characteristic, complemented
135	#1686	C₂²	1	1	yes	characteristic, complemented
136	#1684	C₂²	1	1	yes	characteristic, complemented
137	#1683	C₂²	1	1	yes	characteristic, complemented
138	#1682	C₂²	1	1	yes	characteristic, complemented
139	#1682	C₂²	1	1	yes	characteristic, complemented
140	#1681	C₂²	1	1	yes	characteristic, complemented
141	#1681	C₂²	1	1	yes	characteristic, complemented
142	#1680	C₂²	1	1	yes	characteristic, complemented
143	#1677	C₂²	1	1	yes	characteristic, complemented
144	#1673	C₂²	1	1	yes	characteristic, complemented
145	#1672	C₂²	1	1	yes	characteristic, complemented
146	#1672	C₂²	1	1	yes	characteristic, complemented
147	#1671	C₂²	1	1	yes	characteristic, complemented
148	#1669	C₂²	1	1	yes	characteristic, complemented
149	#1669	C₂²	1	1	yes	characteristic, complemented
150	#1668	C₂²	1	1	yes	characteristic, complemented
151	#1667	C₂²	1	1	yes	characteristic
152	#1667	C₂²	1	1	yes	characteristic, complemented
153	#1666	C₂²	1	1	yes	characteristic, complemented
154	#1665	C₂²	1	1	yes	characteristic, complemented
155	#1665	C₂²	1	1	yes	characteristic, complemented
156	#1665	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, complemented
161	#1652	C₂²	1	1	yes	characteristic, complemented
162	#1652	C₂²	1	1	yes	characteristic, complemented
163	#1651	C₂²	1	1	yes	characteristic, complemented
164	#1650	C₂²	1	1	yes	characteristic, complemented
165	#1649	C₂²	1	1	yes	characteristic, complemented
166	#1649	C₂²	1	1	yes	characteristic, complemented
167	#1647	C₂²	1	1	yes	characteristic, complemented
168	#1646	C₂²	1	1	yes	characteristic, complemented
169	#1644	C₂²	1	1	yes	characteristic, complemented
170	#1641	C₂²	1	1	yes	characteristic, complemented
171	#1640	C₂²	1	1	yes	characteristic, complemented
172	#1640	C₂²	1	1	yes	characteristic, complemented
173	#1639	C₂²	1	1	yes	characteristic, complemented
174	#1639	C₂²	1	1	yes	characteristic, complemented
175	#1639	C₂²	1	1	yes	characteristic, complemented
176	#1638	C₂²	1	1	yes	characteristic, complemented
177	#1637	C₂²	1	1	yes	characteristic, complemented
178	#1630	C₂²	1	1	yes	characteristic, complemented
179	#1629	C₂²	1	1	yes	characteristic, complemented
180	#1628	C₂²	1	1	yes	characteristic, complemented
181	#1628	C₂²	1	1	yes	characteristic, complemented
182	#1627	C₂²	1	1	yes	characteristic, complemented
183	#1627	C₂²	1	1	yes	characteristic, complemented
184	#1625	C₂²	1	1	yes	characteristic
185	#1625	C₂²	1	1	yes	characteristic, complemented
186	#1624	C₂²	1	1	yes	characteristic
187	#1622	C₂²	1	1	yes	characteristic, complemented
188	#1621	C₂²	1	1	yes	characteristic, complemented
189	#1620	C₂²	1	1	yes	characteristic, complemented
190	#1619	C₂²	1	1	yes	characteristic
191	#1619	C₂²	1	1	yes	characteristic, complemented
192	#1590	C₂²	1	1	yes	characteristic, complemented
193	#1590	C₂²	1	1	yes	characteristic, complemented
194	#1584	C₂²	1	1	yes	characteristic, complemented
195	#1584	C₂²	1	1	yes	characteristic, complemented
196	#1581	C₂²	1	1	yes	characteristic, complemented
197	#1581	C₂²	1	1	yes	characteristic, complemented
198	#1580	C₂²	1	1	yes	characteristic
199	#1580	C₂²	1	1	yes	characteristic, complemented
200	SD₁₆⋊C₈	C₂²	1	1	yes	characteristic, complemented
201	SD₁₆⋊C₈	C₂²	1	1	yes	characteristic, complemented
202	C₈×SD₁₆	C₂²	1	1	yes	characteristic, complemented
203	C₈×SD₁₆	C₂²	1	1	yes	characteristic, complemented
204	C₈×SD₁₆	C₂²	1	1	yes	characteristic, complemented
205	C₈×SD₁₆	C₂²	1	1	yes	characteristic, complemented
206	C₈×D₈	C₂²	1	1	yes	characteristic
207	C₈×D₈	C₂²	1	1	yes	characteristic, complemented
208	#1565	C₂²	1	1	yes	characteristic, complemented
209	#1564	C₂²	1	1	yes	characteristic, complemented
210	#1544	C₂²	1	1	yes	characteristic, complemented
211	#1543	C₂²	1	1	yes	characteristic, complemented
212	#1540	C₂²	1	1	yes	characteristic, complemented
213	#1540	C₂²	1	1	yes	characteristic, complemented
214	#1482	C₂²	1	1	yes	characteristic, complemented
215	#1482	C₂²	1	1	yes	characteristic, complemented
216	#1478	C₂²	1	1	yes	characteristic, complemented
217	#1477	C₂²	1	1	yes	characteristic, complemented
218	C₈×M₁₆	C₂²	1	1	yes	characteristic, complemented
219	C₂×AGL(1,ℤ/8)	—	2	1	no	—
220	C₂×AGL(1,ℤ/8)	D₄	1	1	yes	characteristic
221	C₂×#135	—	2	1	no	—
222	C₂×#135	—	2	1	no	—
223	C₂×#135	—	2	1	no	—
224	C₂²×Q₁₆	—	2	1	no	—
225	C₂²×SD₁₆	—	2	1	no	—
226	C₂²×SD₁₆	—	2	1	no	—
227	C₂²×SD₁₆	—	2	1	no	—
228	C₂²×D₈	—	2	1	no	—
229	C₂²×D₈	—	2	1	no	—
230	C₂³×C₈	—	2	1	no	—
231	#559	C₂³	1	1	yes	characteristic
232	#559	C₂³	1	1	yes	characteristic
233	#556	C₂³	1	1	yes	characteristic
234	#556	C₂³	1	1	yes	characteristic
235	#556	C₂³	1	1	yes	characteristic
236	#555	—	2	1	no	—
237	#555	—	2	1	no	—
238	#555	C₂³	1	1	yes	characteristic
239	#554	—	2	1	no	—
240	#554	C₂³	1	1	yes	characteristic
241	#553	—	2	1	no	—
242	#553	—	2	1	no	—
243	#552	—	2	1	no	—
244	#551	—	4	1	no	—
245	#551	—	4	1	no	—
246	#551	—	4	1	no	—
247	#550	C₂³	1	1	yes	characteristic
248	D₄×Q₈	C₂³	1	1	yes	characteristic
249	D₄×Q₈	C₂³	1	1	yes	characteristic
250	D₄×Q₈	C₂³	1	1	yes	characteristic
251	#548	—	2	1	no	—
252	#548	—	2	1	no	—
253	#548	—	2	1	no	—
254	#547	C₂³	1	1	yes	characteristic
255	#547	C₂³	1	1	yes	characteristic
256	#546	—	2	1	no	—
257	#546	—	2	1	no	—
258	#546	—	2	1	no	—
259	#546	—	2	1	no	—
260	#546	—	2	1	no	—
261	#546	—	2	1	no	—
262	#546	—	4	1	no	—
263	D₄²	—	2	1	no	—
264	D₄²	C₂³	1	1	yes	characteristic
265	D₄²	C₂³	1	1	yes	characteristic
266	D₄²	C₂³	1	1	yes	characteristic
267	#542	—	2	1	no	—
268	#542	—	2	1	no	—
269	#542	—	2	1	no	—
270	#540	—	2	1	no	—
271	#539	—	4	1	no	—
272	#538	—	4	1	no	—
273	#538	—	4	1	no	—
274	#538	—	4	1	no	—
275	#533	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	#529	—	2	1	no	—
280	#529	—	2	1	no	—
281	#529	C₂³	1	1	yes	characteristic
282	#529	C₂³	1	1	yes	characteristic
283	C₂×#124	—	2	1	no	—
284	C₂×#124	—	2	1	no	—
285	#525	—	2	1	no	—
286	#525	—	2	1	no	—
287	C₂×C₂²⋊Q₈	—	2	1	no	—
288	C₂×#121	—	2	1	no	—
289	#520	—	2	1	no	—
290	#518	—	2	1	no	—
291	#518	—	2	1	no	—
292	#518	—	2	1	no	—
293	C₄×#41	C₂³	1	1	yes	characteristic
294	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
295	#501	—	2	1	no	—
296	#500	—	2	1	no	—
297	#500	C₂³	1	1	yes	characteristic
298	#500	C₂³	1	1	yes	characteristic
299	#499	D₄	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	#496	—	2	1	no	—
304	#495	—	2	1	no	—
305	#495	—	2	1	no	—
306	#495	—	2	1	no	—
307	#495	—	2	1	no	—
308	#495	—	2	1	no	—
309	#495	—	2	1	no	—
310	#495	—	2	1	no	—
311	#495	—	2	1	no	—
312	#495	—	2	1	no	—
313	#495	D₄	1	1	yes	characteristic
314	#494	C₂³	1	1	yes	characteristic
315	#493	C₂³	1	1	yes	characteristic
316	#493	C₂³	1	1	yes	characteristic
317	#493	C₂³	1	1	yes	characteristic
318	#492	C₂³	1	1	yes	characteristic
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	#489	—	2	1	no	—
325	#488	—	2	1	no	—
326	#488	—	2	1	no	—
327	#488	—	2	1	no	—
328	#488	D₄	1	1	yes	characteristic
329	#488	D₄	1	1	yes	characteristic
330	#487	C₂³	1	1	yes	characteristic
331	#487	C₂³	1	1	yes	characteristic
332	#487	C₂³	1	1	yes	characteristic
333	#486	—	2	1	no	—
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	#486	C₂³	1	1	yes	characteristic
339	#486	C₂³	1	1	yes	characteristic
340	#486	C₂³	1	1	yes	characteristic
341	#485	—	2	1	no	—
342	#485	—	2	1	no	—
343	#485	—	2	1	no	—
344	#485	—	2	1	no	—
345	#485	—	2	1	no	—
346	#484	—	2	1	no	—
347	#484	—	2	1	no	—
348	#483	—	2	1	no	—
349	#482	—	2	1	no	—
350	#482	—	2	1	no	—
351	#482	—	2	1	no	—
352	#482	—	2	1	no	—
353	#482	—	2	1	no	—
354	#482	—	2	1	no	—
355	#482	—	2	1	no	—
356	#482	—	4	1	no	—
357	#481	—	2	1	no	—
358	#480	—	2	1	no	—
359	#480	—	2	1	no	—
360	#480	—	2	1	no	—
361	#480	—	2	1	no	—
362	#479	—	2	1	no	—
363	#478	—	2	1	no	—
364	#478	—	2	1	no	—
365	#478	—	2	1	no	—
366	#478	—	4	1	no	—
367	#477	—	2	1	no	—
368	#477	C₂³	1	1	yes	characteristic
369	#477	C₂³	1	1	yes	characteristic
370	#476	—	2	1	no	—
371	#476	—	2	1	no	—
372	#476	C₂³	1	1	yes	characteristic
373	#476	C₂³	1	1	yes	characteristic
374	#475	C₂³	1	1	yes	characteristic
375	#475	C₂³	1	1	yes	characteristic
376	#474	—	2	1	no	—
377	#474	—	2	1	no	—
378	#474	—	2	1	no	—
379	#474	C₂³	1	1	yes	characteristic
380	#474	C₂³	1	1	yes	characteristic
381	#474	C₂³	1	1	yes	characteristic
382	#474	C₂³	1	1	yes	characteristic
383	#474	C₂³	1	1	yes	characteristic
384	#474	C₂³	1	1	yes	characteristic
385	#469	—	2	1	no	—
386	#469	—	2	1	no	—
387	#469	—	2	1	no	—
388	#468	—	2	1	no	—
389	#468	—	2	1	no	—
390	#468	—	2	1	no	—
391	#468	—	2	1	no	—
392	#468	—	2	1	no	—
393	#467	—	2	1	no	—
394	#467	—	2	1	no	—
395	#467	—	2	1	no	—
396	#467	—	2	1	no	—
397	#467	D₄	1	1	yes	characteristic
398	#466	—	2	1	no	—
399	#466	—	2	1	no	—
400	#466	—	2	1	no	—
401	#466	—	2	1	no	—
402	#466	—	2	1	no	—
403	#466	D₄	1	1	yes	characteristic
404	#465	—	2	1	no	—
405	#465	—	2	1	no	—
406	#465	—	2	1	no	—
407	#465	—	2	1	no	—
408	#465	—	2	1	no	—
409	#465	—	2	1	no	—
410	#465	—	2	1	no	—
411	#465	—	2	1	no	—
412	#465	—	2	1	no	—
413	#465	—	2	1	no	—
414	#465	—	2	1	no	—
415	#465	—	2	1	no	—
416	#465	—	2	1	no	—
417	#465	D₄	1	1	yes	characteristic
418	#465	D₄	1	1	yes	characteristic
419	#464	—	2	1	no	—
420	#464	—	2	1	no	—
421	#464	—	2	1	no	—
422	#464	—	2	1	no	—
423	#464	—	2	1	no	—
424	#464	—	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	—	2	1	no	—
430	#463	—	2	1	no	—
431	#463	—	2	1	no	—
432	#463	—	2	1	no	—
433	#463	—	2	1	no	—
434	#463	—	2	1	no	—
435	#463	—	4	1	no	—
436	#462	C₂³	1	1	yes	characteristic
437	#462	C₂³	1	1	yes	characteristic
438	#462	C₂³	1	1	yes	characteristic
439	#462	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	#460	C₂³	1	1	yes	characteristic
445	#460	C₂³	1	1	yes	characteristic
446	#460	C₂³	1	1	yes	characteristic
447	#460	C₂³	1	1	yes	characteristic
448	#459	—	2	1	no	—
449	#459	—	2	1	no	—
450	#459	C₂³	1	1	yes	characteristic
451	#459	C₂³	1	1	yes	characteristic
452	#459	C₂³	1	1	yes	characteristic
453	#459	C₂³	1	1	yes	characteristic
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	#452	—	2	1	no	—
459	#452	—	2	1	no	—
460	#452	—	2	1	no	—
461	#452	—	2	1	no	—
462	#452	—	2	1	no	—
463	#452	—	2	1	no	—
464	#451	—	2	1	no	—
465	#451	—	2	1	no	—
466	#451	—	2	1	no	—
467	#450	—	2	1	no	—
468	#450	—	2	1	no	—
469	#450	—	2	1	no	—
470	#450	—	2	1	no	—
471	#450	—	2	1	no	—
472	#449	—	2	1	no	—
473	#449	—	2	1	no	—
474	#449	—	2	1	no	—
475	#449	—	2	1	no	—
476	#449	—	2	1	no	—
477	#449	—	2	1	no	—
478	#449	—	4	1	no	—
479	#448	—	2	1	no	—
480	#448	—	2	1	no	—
481	#448	—	2	1	no	—
482	#447	—	2	1	no	—
483	#447	—	2	1	no	—
484	#447	—	2	1	no	—
485	#447	—	2	1	no	—
486	#447	—	2	1	no	—
487	#447	—	2	1	no	—
488	#447	—	2	1	no	—
489	#447	—	2	1	no	—
490	#447	—	2	1	no	—
491	#446	C₂³	1	1	yes	characteristic
492	#446	C₂³	1	1	yes	characteristic
493	C₈×Q₈	C₂³	1	1	yes	characteristic
494	C₈×Q₈	C₂³	1	1	yes	characteristic
495	C₈×Q₈	C₂³	1	1	yes	characteristic
496	C₈×Q₈	C₂³	1	1	yes	characteristic
497	#442	—	2	1	no	—
498	#442	—	2	1	no	—
499	#442	—	2	1	no	—
500	#442	—	2	1	no	—
501	#442	—	2	1	no	—
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	D₄	1	1	yes	characteristic
508	#440	D₄	1	1	yes	characteristic
509	C₄×Q₁₆	—	2	1	no	—
510	C₄×Q₁₆	—	2	1	no	—
511	C₄×Q₁₆	C₂³	1	1	yes	characteristic
512	C₄×SD₁₆	—	2	1	no	—
513	C₄×SD₁₆	—	2	1	no	—
514	C₄×SD₁₆	—	2	1	no	—
515	C₄×SD₁₆	—	2	1	no	—
516	C₄×SD₁₆	—	2	1	no	—
517	C₄×SD₁₆	—	2	1	no	—
518	C₄×SD₁₆	—	2	1	no	—
519	C₄×SD₁₆	C₂³	1	1	yes	characteristic
520	C₄×SD₁₆	C₂³	1	1	yes	characteristic
521	C₄×SD₁₆	C₂³	1	1	yes	characteristic
522	C₄×SD₁₆	C₂³	1	1	yes	characteristic
523	C₄×D₈	—	2	1	no	—
524	C₄×D₈	—	2	1	no	—
525	C₄×D₈	—	2	1	no	—
526	C₄×D₈	—	2	1	no	—
527	C₄×D₈	—	2	1	no	—
528	C₄×D₈	—	2	1	no	—
529	C₄×D₈	—	2	1	no	—
530	C₄×D₈	—	2	1	no	—
531	C₄×D₈	—	2	1	no	—
532	C₄×D₈	C₂³	1	1	yes	characteristic
533	C₄×D₈	C₂³	1	1	yes	characteristic
534	C₄×D₈	C₂³	1	1	yes	characteristic
535	#436	—	2	1	no	—
536	#436	—	2	1	no	—
537	#436	C₂³	1	1	yes	characteristic
538	#436	C₂³	1	1	yes	characteristic
539	#435	—	2	1	no	—
540	#435	—	2	1	no	—
541	C₈×D₄	—	2	1	no	—
542	C₈×D₄	—	2	1	no	—
543	C₈×D₄	—	2	1	no	—
544	C₈×D₄	—	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	C₈×D₄	C₂³	1	1	yes	characteristic
551	C₈×D₄	C₂³	1	1	yes	characteristic
552	C₈×D₄	C₂³	1	1	yes	characteristic
553	#433	—	2	1	no	—
554	#433	—	2	1	no	—
555	#431	—	2	1	no	—
556	#431	C₂³	1	1	yes	characteristic
557	#431	C₂³	1	1	yes	characteristic
558	#431	C₂³	1	1	yes	characteristic
559	#431	C₂³	1	1	yes	characteristic
560	#428	—	2	1	no	—
561	#428	D₄	1	1	yes	characteristic
562	#427	—	2	1	no	—
563	#427	—	2	1	no	—
564	C₂×#106	—	2	1	no	—
565	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
566	#418	—	2	1	no	—
567	#418	—	2	1	no	—
568	#418	D₄	1	1	yes	characteristic
569	#417	D₄	1	1	yes	characteristic
570	#416	—	2	1	no	—
571	#416	—	2	1	no	—
572	#416	—	2	1	no	—
573	C₂×#103	—	2	1	no	—
574	C₂×#102	—	2	1	no	—
575	C₂×#102	—	2	1	no	—
576	C₂×C₂²⋊C₈	—	2	1	no	—
577	#405	—	2	1	no	—
578	#405	—	2	1	no	—
579	C₄×M₁₆	C₂³	1	1	yes	characteristic
580	C₂×C₄×C₈	—	2	1	no	—
581	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
582	#335	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	#334	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	#333	C₂³	1	1	yes	characteristic
591	#333	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	#331	C₂³	1	1	yes	characteristic
601	#331	C₂³	1	1	yes	characteristic
602	#331	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	Q₈⋊C₈	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	Q₈⋊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	#322	C₂³	1	1	yes	characteristic
623	#322	C₂³	1	1	yes	characteristic
624	C₈²	C₂³	1	1	yes	characteristic
625	C₈²	C₂³	1	1	yes	characteristic
626	C₂×#41	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
633	C₂²×Q₈	—	2	1	no	—
634	C₂²×Q₈	—	2	1	no	—
635	C₂²×Q₈	—	2	1	no	—
636	C₂²×D₄	—	2	1	no	—
637	C₂²×D₄	—	2	1	no	—
638	C₂²×D₄	—	2	1	no	—
639	C₂²×D₄	—	2	1	no	—
640	C₂²×D₄	—	2	1	no	—
641	C₂²×D₄	—	2	1	no	—
642	C₂²×D₄	—	4	1	no	—
643	C₂²×D₄	C₂×D₄	1	1	yes	characteristic
644	C₂³×C₄	—	2	1	no	—
645	AGL(1,ℤ/8)	—	2	4	no	—
646	AGL(1,ℤ/8)	—	4	4	no	—
647	#135	—	8	2	no	—
648	#135	—	8	2	no	—
649	#135	—	8	2	no	—
650	C₂×Q₁₆	—	2	1	no	—
651	C₂×Q₁₆	—	2	1	no	—
652	C₂×Q₁₆	—	2	1	no	—
653	C₂×Q₁₆	—	2	1	no	—
654	C₂×Q₁₆	—	2	1	no	—
655	C₂×Q₁₆	—	2	1	no	—
656	C₂×Q₁₆	—	8	2	no	—
657	C₂×Q₁₆	C₂×D₄	1	1	yes	characteristic
658	C₂×SD₁₆	—	2	1	no	—
659	C₂×SD₁₆	—	2	1	no	—
660	C₂×SD₁₆	—	2	1	no	—
661	C₂×SD₁₆	—	2	1	no	—
662	C₂×SD₁₆	—	2	1	no	—
663	C₂×SD₁₆	—	2	1	no	—
664	C₂×SD₁₆	—	2	1	no	—
665	C₂×SD₁₆	—	2	1	no	—
666	C₂×SD₁₆	—	2	1	no	—
667	C₂×SD₁₆	—	2	1	no	—
668	C₂×SD₁₆	—	2	1	no	—
669	C₂×SD₁₆	—	2	1	no	—
670	C₂×SD₁₆	—	2	1	no	—
671	C₂×SD₁₆	—	2	1	no	—
672	C₂×SD₁₆	—	2	1	no	—
673	C₂×SD₁₆	—	2	1	no	—
674	C₂×SD₁₆	—	4	1	no	—
675	C₂×SD₁₆	—	8	2	no	—
676	C₂×SD₁₆	—	8	2	no	—
677	C₂×SD₁₆	—	8	2	no	—
678	C₂×SD₁₆	C₂×D₄	1	1	yes	characteristic
679	C₂×SD₁₆	C₂×D₄	1	1	yes	characteristic
680	C₂×SD₁₆	C₂×D₄	1	1	yes	characteristic
681	C₂×SD₁₆	C₂×D₄	1	1	yes	characteristic
682	C₂×D₈	—	2	1	no	—
683	C₂×D₈	—	2	1	no	—
684	C₂×D₈	—	2	1	no	—
685	C₂×D₈	—	2	1	no	—
686	C₂×D₈	—	2	1	no	—
687	C₂×D₈	—	2	1	no	—
688	C₂×D₈	—	2	1	no	—
689	C₂×D₈	—	2	1	no	—
690	C₂×D₈	—	2	1	no	—
691	C₂×D₈	—	2	1	no	—
692	C₂×D₈	—	2	1	no	—
693	C₂×D₈	—	2	1	no	—
694	C₂×D₈	—	4	1	no	—
695	C₂×D₈	—	4	4	no	—
696	C₂×D₈	—	8	2	no	—
697	C₂×D₈	C₂×D₄	1	1	yes	characteristic
698	C₂×D₈	C₂×D₄	1	1	yes	characteristic
699	C₂×D₈	C₂×D₄	1	1	yes	characteristic
700	C₂×M₁₆	—	2	1	no	—
701	C₂×M₁₆	—	2	1	no	—
702	C₂×M₁₆	C₂×D₄	1	1	yes	characteristic
703	C₂×M₁₆	C₂×D₄	1	1	yes	characteristic
704	C₂²×C₈	—	2	1	no	—
705	C₂²×C₈	—	2	1	no	—
706	C₂²×C₈	—	2	1	no	—
707	C₂²×C₈	—	2	1	no	—
708	C₂²×C₈	—	2	1	no	—
709	C₂²×C₈	—	2	1	no	—
710	C₂²×C₈	—	2	1	no	—
711	C₂²×C₈	—	2	1	no	—
712	C₂²×C₈	—	2	1	no	—
713	C₂²×C₈	—	8	2	no	—
714	C₂²×C₈	C₂×D₄	1	1	yes	characteristic
715	C₂²×C₈	C₂×D₄	1	1	yes	characteristic
716	C₄⋊Q₈	—	2	1	no	—
717	C₄⋊Q₈	—	2	1	no	—
718	C₄⋊Q₈	—	2	1	no	—
719	C₄⋊Q₈	C₂⁴	1	1	yes	characteristic
720	C₄⋊Q₈	C₂⁴	1	1	yes	characteristic
721	C₄⋊Q₈	C₂⁴	1	1	yes	characteristic
722	C₄⋊Q₈	C₂⁴	1	1	yes	characteristic
723	C₄⋊Q₈	C₂⁴	1	1	yes	characteristic
724	#127	—	2	1	no	—
725	#127	C₂⁴	1	1	yes	characteristic
726	#127	C₂⁴	1	1	yes	characteristic
727	#127	C₂⁴	1	1	yes	characteristic
728	#126	—	2	1	no	—
729	#126	—	2	1	no	—
730	#126	—	4	1	no	—
731	#126	—	4	1	no	—
732	#126	—	4	1	no	—
733	#126	—	4	1	no	—
734	#126	—	4	1	no	—
735	#126	—	4	1	no	—
736	#126	—	4	1	no	—
737	#125	—	2	1	no	—
738	#125	—	2	1	no	—
739	#125	—	4	1	no	—
740	#125	C₂×D₄	1	1	yes	characteristic
741	#125	C₂×D₄	1	1	yes	characteristic
742	#124	—	2	1	no	—
743	#124	—	2	1	no	—
744	#124	—	2	1	no	—
745	#124	—	2	1	no	—
746	#124	—	2	1	no	—
747	#124	—	2	1	no	—
748	#124	—	2	1	no	—
749	#124	—	2	1	no	—
750	#124	—	2	1	no	—
751	#124	—	2	1	no	—
752	#124	—	4	1	no	—
753	#124	—	4	1	no	—
754	#124	—	4	1	no	—
755	#124	—	4	1	no	—
756	#124	—	4	1	no	—
757	#124	—	4	1	no	—
758	#124	—	4	1	no	—
759	#124	—	4	1	no	—
760	#124	C₂×D₄	1	1	yes	characteristic
761	#124	C₂×D₄	1	1	yes	characteristic
762	#123	—	2	1	no	—
763	#123	—	2	1	no	—
764	#123	—	4	1	no	—
765	#123	—	4	1	no	—
766	#123	—	4	1	no	—
767	#123	—	4	1	no	—
768	#123	—	4	1	no	—
769	#123	—	4	1	no	—
770	#123	—	4	1	no	—
771	#123	—	4	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	C₂²⋊Q₈	—	2	1	no	—
778	C₂²⋊Q₈	—	2	1	no	—
779	C₂²⋊Q₈	—	2	1	no	—
780	C₂²⋊Q₈	—	2	1	no	—
781	C₂²⋊Q₈	—	2	1	no	—
782	C₂²⋊Q₈	—	2	1	no	—
783	C₂²⋊Q₈	—	2	1	no	—
784	C₂²⋊Q₈	—	2	1	no	—
785	C₂²⋊Q₈	—	2	1	no	—
786	C₂²⋊Q₈	—	2	1	no	—
787	C₂²⋊Q₈	—	2	1	no	—
788	C₂²⋊Q₈	—	4	1	no	—
789	C₂²⋊Q₈	—	4	1	no	—
790	C₂²⋊Q₈	—	4	1	no	—
791	C₂²⋊Q₈	—	4	1	no	—
792	C₂²⋊Q₈	—	4	1	no	—
793	C₂²⋊Q₈	—	4	1	no	—
794	C₂²⋊Q₈	—	4	1	no	—
795	C₂²⋊Q₈	—	4	1	no	—
796	C₂²⋊Q₈	—	4	1	no	—
797	C₂²⋊Q₈	C₂×D₄	1	1	yes	characteristic
798	C₂²⋊Q₈	C₂×D₄	1	1	yes	characteristic
799	#121	—	2	1	no	—
800	#121	—	2	1	no	—
801	#121	—	2	1	no	—
802	#121	—	2	1	no	—
803	#121	—	2	1	no	—
804	#121	—	2	1	no	—
805	#121	—	2	1	no	—
806	#121	—	2	1	no	—
807	#121	—	2	1	no	—
808	#121	—	2	1	no	—
809	#121	—	2	1	no	—
810	#121	—	2	1	no	—
811	#121	—	2	1	no	—
812	#121	—	2	1	no	—
813	#121	—	2	1	no	—
814	#121	—	2	1	no	—
815	#121	—	2	1	no	—
816	#121	—	4	1	no	—
817	#121	—	4	1	no	—
818	#121	—	4	1	no	—
819	#121	—	4	1	no	—
820	#121	—	4	1	no	—
821	#121	—	4	1	no	—
822	#121	—	4	1	no	—
823	#121	—	4	1	no	—
824	#121	—	4	1	no	—
825	#121	—	4	1	no	—
826	#121	C₂×D₄	1	1	yes	characteristic
827	#121	C₂×D₄	1	1	yes	characteristic
828	#120	—	4	1	no	—
829	#120	—	4	1	no	—
830	#120	—	4	1	no	—
831	#120	—	4	1	no	—
832	#120	—	4	1	no	—
833	#120	—	4	1	no	—
834	#120	—	4	1	no	—
835	#120	—	4	1	no	—
836	C₄×Q₈	—	2	1	no	—
837	C₄×Q₈	—	2	1	no	—
838	C₄×Q₈	—	2	1	no	—
839	C₄×Q₈	—	2	1	no	—
840	C₄×Q₈	—	2	1	no	—
841	C₄×Q₈	C₂×D₄	1	1	yes	characteristic
842	C₄×Q₈	C₂⁴	1	1	yes	characteristic
843	C₄×Q₈	C₂⁴	1	1	yes	characteristic
844	C₄×Q₈	C₂⁴	1	1	yes	characteristic
845	C₄×D₄	—	2	1	no	—
846	C₄×D₄	—	2	1	no	—
847	C₄×D₄	—	2	1	no	—
848	C₄×D₄	—	2	1	no	—
849	C₄×D₄	—	2	1	no	—
850	C₄×D₄	—	2	1	no	—
851	C₄×D₄	—	2	1	no	—
852	C₄×D₄	—	2	1	no	—
853	C₄×D₄	—	2	1	no	—
854	C₄×D₄	—	2	1	no	—
855	C₄×D₄	—	2	1	no	—
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	—	4	1	no	—
867	C₄×D₄	—	4	1	no	—
868	C₄×D₄	—	4	1	no	—
869	C₄×D₄	—	4	1	no	—
870	C₄×D₄	—	4	1	no	—
871	C₄×D₄	—	4	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	C₂×D₄	1	1	yes	characteristic
877	C₄×D₄	C₂×D₄	1	1	yes	characteristic
878	C₄×D₄	C₂×D₄	1	1	yes	characteristic
879	C₄×D₄	C₂⁴	1	1	yes	characteristic
880	C₄×D₄	C₂⁴	1	1	yes	characteristic
881	C₄×D₄	C₂⁴	1	1	yes	characteristic
882	C₄×D₄	C₂⁴	1	1	yes	characteristic
883	C₄×D₄	C₂⁴	1	1	yes	characteristic
884	#117	—	2	1	no	—
885	#117	—	2	1	no	—
886	#117	—	2	1	no	—
887	#117	—	2	1	no	—
888	#117	—	2	1	no	—
889	#117	—	2	1	no	—
890	#117	—	2	1	no	—
891	#117	—	2	1	no	—
892	#117	—	2	1	no	—
893	#117	—	4	1	no	—
894	#117	—	4	1	no	—
895	#117	—	4	1	no	—
896	#117	C₂×D₄	1	1	yes	characteristic
897	C₂×C₄⋊C₄	—	2	1	no	—
898	C₂×C₄⋊C₄	—	2	1	no	—
899	C₂×C₄⋊C₄	—	2	1	no	—
900	C₂×C₄⋊C₄	—	4	1	no	—
901	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
902	C₂×C₂²⋊C₄	—	2	1	no	—
903	C₂×C₂²⋊C₄	—	4	1	no	—
904	C₂×C₂²⋊C₄	—	4	1	no	—
905	C₂×C₂²⋊C₄	—	4	1	no	—
906	C₂×C₂²⋊C₄	—	4	1	no	—
907	C₂×C₂²⋊C₄	—	4	1	no	—
908	C₂×C₂²⋊C₄	—	4	1	no	—
909	C₂×C₂²⋊C₄	—	4	1	no	—
910	C₂×C₂²⋊C₄	—	4	1	no	—
911	C₂×C₂²⋊C₄	—	4	1	no	—
912	C₂×C₄²	—	2	1	no	—
913	C₂×C₄²	C₂⁴	1	1	yes	characteristic
914	#107	—	2	1	no	—
915	#107	—	2	1	no	—
916	#107	—	2	1	no	—
917	#107	—	2	1	no	—
918	#107	—	2	1	no	—
919	#107	—	2	1	no	—
920	#107	—	2	1	no	—
921	#107	—	2	1	no	—
922	#107	—	2	1	no	—
923	#107	—	2	1	no	—
924	#107	—	4	1	no	—
925	#107	C₂×D₄	1	1	yes	characteristic
926	#107	C₂×D₄	1	1	yes	characteristic
927	#107	C₂×D₄	1	1	yes	characteristic
928	#107	C₂×D₄	1	1	yes	characteristic
929	#106	—	2	1	no	—
930	#106	—	2	1	no	—
931	#106	—	2	1	no	—
932	#106	—	2	1	no	—
933	#106	—	2	1	no	—
934	#106	—	2	1	no	—
935	#106	—	2	1	no	—
936	#106	—	2	1	no	—
937	#106	—	4	1	no	—
938	#106	C₂×D₄	1	1	yes	characteristic
939	#106	C₂×D₄	1	1	yes	characteristic
940	#106	C₂×D₄	1	1	yes	characteristic
941	#106	C₂×D₄	1	1	yes	characteristic
942	C₄⋊C₈	—	2	1	no	—
943	C₄⋊C₈	—	2	1	no	—
944	C₄⋊C₈	—	2	1	no	—
945	C₄⋊C₈	—	2	1	no	—
946	C₄⋊C₈	—	2	1	no	—
947	C₄⋊C₈	—	2	1	no	—
948	C₄⋊C₈	—	2	1	no	—
949	C₄⋊C₈	—	2	1	no	—
950	C₄⋊C₈	C₂⁴	1	1	yes	characteristic
951	C₄⋊C₈	C₂⁴	1	1	yes	characteristic
952	C₄⋊C₈	C₂⁴	1	1	yes	characteristic
953	C₄⋊C₈	C₂⁴	1	1	yes	characteristic
954	C₄⋊C₈	C₂⁴	1	1	yes	characteristic
955	C₄⋊C₈	C₂⁴	1	1	yes	characteristic
956	C₄⋊C₈	C₂⁴	1	1	yes	characteristic
957	C₄⋊C₈	C₂⁴	1	1	yes	characteristic
958	#103	—	2	1	no	—
959	#103	—	2	1	no	—
960	#103	—	2	1	no	—
961	#103	—	2	1	no	—
962	#103	—	2	1	no	—
963	#103	—	2	1	no	—
964	#103	—	2	1	no	—
965	#103	—	2	1	no	—
966	#103	—	2	1	no	—
967	#103	—	2	1	no	—
968	#103	—	2	1	no	—
969	#103	—	2	1	no	—
970	#103	—	2	1	no	—
971	#103	—	2	1	no	—
972	#103	—	2	1	no	—
973	#103	—	2	1	no	—
974	#103	—	4	1	no	—
975	#103	C₂×D₄	1	1	yes	characteristic
976	#103	C₂×D₄	1	1	yes	characteristic
977	#103	C₂×D₄	1	1	yes	characteristic
978	#103	C₂×D₄	1	1	yes	characteristic
979	#103	C₂×D₄	1	1	yes	characteristic
980	#103	C₂×D₄	1	1	yes	characteristic
981	#102	—	2	1	no	—
982	#102	—	2	1	no	—
983	#102	—	2	1	no	—
984	#102	—	2	1	no	—
985	#102	—	2	1	no	—
986	#102	—	2	1	no	—
987	#102	—	2	1	no	—
988	#102	—	2	1	no	—
989	#102	—	2	1	no	—
990	#102	—	2	1	no	—
991	#102	—	2	1	no	—
992	#102	—	2	1	no	—
993	#102	—	2	1	no	—
994	#102	—	2	1	no	—
995	#102	—	2	1	no	—
996	#102	—	2	1	no	—
997	#102	—	2	1	no	—
998	#102	—	2	1	no	—
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	—	4	1	no	—
1010	#102	—	4	1	no	—
1011	#102	—	4	1	no	—
1012	#102	C₂×D₄	1	1	yes	characteristic
1013	#102	C₂×D₄	1	1	yes	characteristic
1014	#102	C₂×D₄	1	1	yes	characteristic
1015	#102	C₂×D₄	1	1	yes	characteristic
1016	#102	C₂×D₄	1	1	yes	characteristic
1017	#102	C₂×D₄	1	1	yes	characteristic
1018	#102	C₂×D₄	1	1	yes	characteristic
1019	#102	C₂×D₄	1	1	yes	characteristic
1020	#102	C₂×D₄	1	1	yes	characteristic
1021	#102	C₂×D₄	1	1	yes	characteristic
1022	C₂²⋊C₈	—	2	1	no	—
1023	C₂²⋊C₈	—	2	1	no	—
1024	C₂²⋊C₈	—	2	1	no	—
1025	C₂²⋊C₈	—	2	1	no	—
1026	C₂²⋊C₈	—	2	1	no	—
1027	C₂²⋊C₈	—	2	1	no	—
1028	C₂²⋊C₈	—	2	1	no	—
1029	C₂²⋊C₈	—	2	1	no	—
1030	C₂²⋊C₈	—	2	1	no	—
1031	C₂²⋊C₈	—	2	1	no	—
1032	C₂²⋊C₈	—	2	1	no	—
1033	C₂²⋊C₈	—	2	1	no	—
1034	C₂²⋊C₈	—	2	1	no	—
1035	C₂²⋊C₈	—	2	1	no	—
1036	#97	—	2	1	no	—
1037	#97	—	2	1	no	—
1038	#97	C₂×D₄	1	1	yes	characteristic
1039	#97	C₂×D₄	1	1	yes	characteristic
1040	C₄×C₈	—	2	1	no	—
1041	C₄×C₈	—	2	1	no	—
1042	C₄×C₈	—	2	1	no	—
1043	C₄×C₈	—	2	1	no	—
1044	C₄×C₈	—	2	1	no	—
1045	C₄×C₈	—	2	1	no	—
1046	C₄×C₈	—	2	1	no	—
1047	C₄×C₈	C₂×D₄	1	1	yes	characteristic
1048	C₄×C₈	C₂×D₄	1	1	yes	characteristic
1049	C₄×C₈	C₂⁴	1	1	yes	characteristic
1050	C₄×C₈	C₂⁴	1	1	yes	characteristic
1051	C₄×C₈	C₂⁴	1	1	yes	characteristic
1052	C₄×C₈	C₂⁴	1	1	yes	characteristic
1053	C₄×C₈	C₂⁴	1	1	yes	characteristic
1054	C₄×C₈	C₂⁴	1	1	yes	characteristic
1055	C₂⁴	—	2	1	no	—
1056	C₂⁴	—	4	1	no	—
1057	C₂⁴	—	4	1	no	—
1058	C₂⁴	—	4	1	no	—
1059	#41	—	2	2	no	—
1060	#41	—	4	1	no	—
1061	#41	—	4	2	no	—
1062	#41	—	8	1	no	—
1063	#41	—	8	1	no	—
1064	#41	—	8	1	no	—
1065	#41	—	8	1	no	—
1066	#41	—	8	1	no	—
1067	#41	—	8	1	no	—
1068	#41	—	8	1	no	—
1069	#41	—	8	1	no	—
1070	#41	—	8	1	no	—
1071	#41	—	16	1	no	—
1072	C₂×Q₈	—	2	1	no	—
1073	C₂×Q₈	—	2	1	no	—
1074	C₂×Q₈	—	2	1	no	—
1075	C₂×Q₈	—	2	1	no	—
1076	C₂×Q₈	—	2	1	no	—
1077	C₂×Q₈	—	4	1	no	—
1078	C₂×Q₈	—	4	1	no	—
1079	C₂×Q₈	—	4	1	no	—
1080	C₂×Q₈	—	8	1	no	—
1081	C₂×Q₈	—	8	1	no	—
1082	C₂×Q₈	—	8	1	no	—
1083	C₂×Q₈	—	8	1	no	—
1084	C₂×Q₈	—	8	1	no	—
1085	C₂×Q₈	—	8	1	no	—
1086	C₂×Q₈	C₂²×D₄	1	1	yes	characteristic
1087	C₂×Q₈	C₂²×D₄	1	1	yes	characteristic
1088	C₂×Q₈	C₂²×D₄	1	1	yes	characteristic
1089	C₂×D₄	—	2	2	no	—
1090	C₂×D₄	—	2	1	no	—
1091	C₂×D₄	—	2	1	no	—
1092	C₂×D₄	—	2	1	no	—
1093	C₂×D₄	—	2	1	no	—
1094	C₂×D₄	—	2	1	no	—
1095	C₂×D₄	—	2	1	no	—
1096	C₂×D₄	—	2	1	no	—
1097	C₂×D₄	—	2	1	no	—
1098	C₂×D₄	—	2	1	no	—
1099	C₂×D₄	—	2	1	no	—
1100	C₂×D₄	—	2	1	no	—
1101	C₂×D₄	—	2	1	no	—
1102	C₂×D₄	—	2	1	no	—
1103	C₂×D₄	—	4	1	no	—
1104	C₂×D₄	—	4	1	no	—
1105	C₂×D₄	—	4	1	no	—
1106	C₂×D₄	—	4	1	no	—
1107	C₂×D₄	—	4	1	no	—
1108	C₂×D₄	—	4	1	no	—
1109	C₂×D₄	—	4	1	no	—
1110	C₂×D₄	—	4	1	no	—
1111	C₂×D₄	—	4	1	no	—
1112	C₂×D₄	—	4	2	no	—
1113	C₂×D₄	—	4	2	no	—
1114	C₂×D₄	—	4	2	no	—
1115	C₂×D₄	—	4	1	no	—
1116	C₂×D₄	—	4	1	no	—
1117	C₂×D₄	—	4	1	no	—
1118	C₂×D₄	—	4	1	no	—
1119	C₂×D₄	—	4	1	no	—
1120	C₂×D₄	—	4	1	no	—
1121	C₂×D₄	—	8	1	no	—
1122	C₂×D₄	—	8	1	no	—
1123	C₂×D₄	—	8	1	no	—
1124	C₂×D₄	—	8	1	no	—
1125	C₂×D₄	—	8	1	no	—
1126	C₂×D₄	—	8	1	no	—
1127	C₂×D₄	—	8	1	no	—
1128	C₂×D₄	—	8	1	no	—
1129	C₂×D₄	—	8	1	no	—
1130	C₂×D₄	—	16	2	no	—
1131	C₂×D₄	C₂²×D₄	1	1	yes	characteristic
1132	C₂×D₄	C₂²×D₄	1	1	yes	characteristic
1133	C₂×D₄	C₂²×D₄	1	1	yes	characteristic
1134	C₂×D₄	C₂²×D₄	1	1	yes	characteristic
1135	C₂×D₄	C₂²×D₄	1	1	yes	characteristic
1136	C₂²×C₄	—	2	1	no	—
1137	C₂²×C₄	—	2	1	no	—
1138	C₂²×C₄	—	2	1	no	—
1139	C₂²×C₄	—	2	1	no	—
1140	C₂²×C₄	—	2	1	no	—
1141	C₂²×C₄	—	2	1	no	—
1142	C₂²×C₄	—	2	1	no	—
1143	C₂²×C₄	—	2	1	no	—
1144	C₂²×C₄	—	2	1	no	—
1145	C₂²×C₄	—	2	1	no	—
1146	C₂²×C₄	—	4	1	no	—
1147	C₂²×C₄	—	4	1	no	—
1148	C₂²×C₄	—	4	1	no	—
1149	C₂²×C₄	—	4	1	no	—
1150	C₂²×C₄	—	4	1	no	—
1151	C₂²×C₄	—	4	1	no	—
1152	C₂²×C₄	—	4	1	no	—
1153	C₂²×C₄	—	4	1	no	—
1154	C₂²×C₄	—	4	1	no	—
1155	C₂²×C₄	—	4	1	no	—
1156	C₂²×C₄	—	4	1	no	—
1157	C₂²×C₄	—	4	1	no	—
1158	C₂²×C₄	—	8	1	no	—
1159	C₂²×C₄	—	8	1	no	—
1160	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1161	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1162	C₂²×C₄	H(5,𝔽₂)	1	1	yes	characteristic
1163	Q₁₆	—	4	1	no	—
1164	Q₁₆	—	4	2	no	—
1165	Q₁₆	—	8	1	no	—
1166	Q₁₆	—	8	1	no	—
1167	Q₁₆	—	8	1	no	—
1168	Q₁₆	—	8	1	no	—
1169	Q₁₆	—	8	1	no	—
1170	SD₁₆	—	2	2	no	—
1171	SD₁₆	—	2	2	no	—
1172	SD₁₆	—	2	2	no	—
1173	SD₁₆	—	2	2	no	—
1174	SD₁₆	—	4	2	no	—
1175	SD₁₆	—	4	2	no	—
1176	SD₁₆	—	4	2	no	—
1177	SD₁₆	—	4	2	no	—
1178	SD₁₆	—	4	2	no	—
1179	SD₁₆	—	8	1	no	—
1180	SD₁₆	—	8	1	no	—
1181	SD₁₆	—	8	1	no	—
1182	SD₁₆	—	8	1	no	—
1183	SD₁₆	—	8	1	no	—
1184	SD₁₆	—	8	1	no	—
1185	SD₁₆	—	8	1	no	—
1186	SD₁₆	—	8	1	no	—
1187	SD₁₆	—	8	1	no	—
1188	SD₁₆	—	8	1	no	—
1189	SD₁₆	—	8	1	no	—
1190	SD₁₆	—	16	1	no	—
1191	D₈	—	2	2	no	—
1192	D₈	—	4	1	no	—
1193	D₈	—	4	2	no	—
1194	D₈	—	4	2	no	—
1195	D₈	—	4	2	no	—
1196	D₈	—	4	2	no	—
1197	D₈	—	4	2	no	—
1198	D₈	—	8	1	no	—
1199	D₈	—	8	1	no	—
1200	D₈	—	8	1	no	—
1201	D₈	—	8	1	no	—
1202	D₈	—	8	1	no	—
1203	D₈	—	8	1	no	—
1204	D₈	—	8	1	no	—
1205	D₈	—	16	1	no	—
1206	D₈	#135	1	4	yes	complemented
1207	M₁₆	—	2	2	no	—
1208	M₁₆	—	4	1	no	—
1209	M₁₆	—	4	2	no	—
1210	M₁₆	—	8	1	no	—
1211	C₂×C₈	—	2	2	no	—
1212	C₂×C₈	—	2	1	no	—
1213	C₂×C₈	—	2	1	no	—
1214	C₂×C₈	—	2	1	no	—
1215	C₂×C₈	—	2	1	no	—
1216	C₂×C₈	—	2	1	no	—
1217	C₂×C₈	—	2	1	no	—
1218	C₂×C₈	—	2	1	no	—
1219	C₂×C₈	—	2	1	no	—
1220	C₂×C₈	—	2	1	no	—
1221	C₂×C₈	—	2	1	no	—
1222	C₂×C₈	—	4	1	no	—
1223	C₂×C₈	—	4	2	no	—
1224	C₂×C₈	—	4	2	no	—
1225	C₂×C₈	—	4	2	no	—
1226	C₂×C₈	—	4	2	no	—
1227	C₂×C₈	—	4	2	no	—
1228	C₂×C₈	—	8	1	no	—
1229	C₂×C₈	—	8	1	no	—
1230	C₂×C₈	—	8	1	no	—
1231	C₂×C₈	—	8	1	no	—
1232	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1233	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1234	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1235	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1236	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1237	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1238	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1239	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1240	C₄⋊C₄	—	2	1	no	—
1241	C₄⋊C₄	—	2	1	no	—
1242	C₄⋊C₄	—	2	1	no	—
1243	C₄⋊C₄	—	2	1	no	—
1244	C₄⋊C₄	—	2	1	no	—
1245	C₄⋊C₄	—	2	1	no	—
1246	C₄⋊C₄	—	2	1	no	—
1247	C₄⋊C₄	—	2	1	no	—
1248	C₄⋊C₄	—	2	1	no	—
1249	C₄⋊C₄	—	2	1	no	—
1250	C₄⋊C₄	—	2	1	no	—
1251	C₄⋊C₄	—	2	1	no	—
1252	C₄⋊C₄	—	2	1	no	—
1253	C₄⋊C₄	—	2	1	no	—
1254	C₄⋊C₄	—	2	1	no	—
1255	C₄⋊C₄	—	2	1	no	—
1256	C₄⋊C₄	—	2	1	no	—
1257	C₄⋊C₄	—	2	1	no	—
1258	C₄⋊C₄	—	2	1	no	—
1259	C₄⋊C₄	—	2	1	no	—
1260	C₄⋊C₄	—	2	1	no	—
1261	C₄⋊C₄	—	4	1	no	—
1262	C₄⋊C₄	—	4	1	no	—
1263	C₄⋊C₄	—	4	1	no	—
1264	C₄⋊C₄	—	4	1	no	—
1265	C₄⋊C₄	—	4	1	no	—
1266	C₄⋊C₄	—	4	1	no	—
1267	C₄⋊C₄	—	4	1	no	—
1268	C₄⋊C₄	—	4	1	no	—
1269	C₄⋊C₄	—	4	1	no	—
1270	C₄⋊C₄	—	4	1	no	—
1271	C₄⋊C₄	—	4	1	no	—
1272	C₄⋊C₄	—	4	1	no	—
1273	C₄⋊C₄	C₂²×D₄	1	1	yes	characteristic
1274	C₄⋊C₄	C₂²×D₄	1	1	yes	characteristic
1275	C₄⋊C₄	C₂²×D₄	1	1	yes	characteristic
1276	C₄⋊C₄	C₂²×D₄	1	1	yes	characteristic
1277	C₄⋊C₄	C₂²×D₄	1	1	yes	characteristic
1278	C₄⋊C₄	C₂²×D₄	1	1	yes	characteristic
1279	C₄⋊C₄	C₂²×D₄	1	1	yes	characteristic
1280	C₄⋊C₄	C₂²×D₄	1	1	yes	characteristic
1281	C₂²⋊C₄	—	2	1	no	—
1282	C₂²⋊C₄	—	2	1	no	—
1283	C₂²⋊C₄	—	2	1	no	—
1284	C₂²⋊C₄	—	2	1	no	—
1285	C₂²⋊C₄	—	2	1	no	—
1286	C₂²⋊C₄	—	2	1	no	—
1287	C₂²⋊C₄	—	2	1	no	—
1288	C₂²⋊C₄	—	2	1	no	—
1289	C₂²⋊C₄	—	2	1	no	—
1290	C₂²⋊C₄	—	2	1	no	—
1291	C₂²⋊C₄	—	2	1	no	—
1292	C₂²⋊C₄	—	2	1	no	—
1293	C₂²⋊C₄	—	2	1	no	—
1294	C₂²⋊C₄	—	2	1	no	—
1295	C₂²⋊C₄	—	2	1	no	—
1296	C₂²⋊C₄	—	2	1	no	—
1297	C₂²⋊C₄	—	2	1	no	—
1298	C₂²⋊C₄	—	4	1	no	—
1299	C₂²⋊C₄	—	4	1	no	—
1300	C₂²⋊C₄	—	4	1	no	—
1301	C₂²⋊C₄	—	4	1	no	—
1302	C₂²⋊C₄	—	4	1	no	—
1303	C₂²⋊C₄	—	4	1	no	—
1304	C₂²⋊C₄	—	4	1	no	—
1305	C₂²⋊C₄	—	4	1	no	—
1306	C₂²⋊C₄	—	4	1	no	—
1307	C₂²⋊C₄	—	4	1	no	—
1308	C₂²⋊C₄	—	4	1	no	—
1309	C₂²⋊C₄	—	4	1	no	—
1310	C₂²⋊C₄	—	4	1	no	—
1311	C₂²⋊C₄	—	4	1	no	—
1312	C₂²⋊C₄	—	4	1	no	—
1313	C₂²⋊C₄	—	4	1	no	—
1314	C₂²⋊C₄	—	4	1	no	—
1315	C₂²⋊C₄	—	4	1	no	—
1316	C₂²⋊C₄	—	4	1	no	—
1317	C₂²⋊C₄	—	4	1	no	—
1318	C₂²⋊C₄	—	4	1	no	—
1319	C₂²⋊C₄	—	4	1	no	—
1320	C₂²⋊C₄	—	4	1	no	—
1321	C₂²⋊C₄	—	4	1	no	—
1322	C₂²⋊C₄	—	4	1	no	—
1323	C₂²⋊C₄	—	4	1	no	—
1324	C₂²⋊C₄	—	4	1	no	—
1325	C₂²⋊C₄	—	4	1	no	—
1326	C₂²⋊C₄	—	4	1	no	—
1327	C₂²⋊C₄	—	4	1	no	—
1328	C₂²⋊C₄	—	4	1	no	—
1329	C₄²	—	2	1	no	—
1330	C₄²	—	2	1	no	—
1331	C₄²	—	2	1	no	—
1332	C₄²	—	2	1	no	—
1333	C₄²	—	2	1	no	—
1334	C₄²	—	4	1	no	—
1335	C₄²	—	4	1	no	—
1336	C₄²	—	4	1	no	—
1337	C₄²	—	4	1	no	—
1338	C₄²	—	4	1	no	—
1339	C₄²	C₂²×D₄	1	1	yes	characteristic
1340	C₄²	C₂²×D₄	1	1	yes	characteristic
1341	C₄²	H(5,𝔽₂)	1	1	yes	characteristic
1342	C₄²	C₂⁵	1	1	yes	characteristic
1343	C₂³	—	2	1	no	—
1344	C₂³	—	2	1	no	—
1345	C₂³	—	2	1	no	—
1346	C₂³	—	2	1	no	—
1347	C₂³	—	2	1	no	—
1348	C₂³	—	4	2	no	—
1349	C₂³	—	4	2	no	—
1350	C₂³	—	4	1	no	—
1351	C₂³	—	4	1	no	—
1352	C₂³	—	4	1	no	—
1353	C₂³	—	8	1	no	—
1354	C₂³	—	8	2	no	—
1355	C₂³	—	8	2	no	—
1356	C₂³	—	8	2	no	—
1357	C₂³	—	16	1	no	—
1358	C₂³	—	16	1	no	—
1359	C₂³	—	16	1	no	—
1360	C₂³	—	16	1	no	—
1361	C₂³	—	16	1	no	—
1362	C₂³	—	16	1	no	—
1363	C₂³	D₄²	1	1	yes	characteristic
1364	Q₈	—	2	1	no	—
1365	Q₈	—	2	1	no	—
1366	Q₈	—	2	1	no	—
1367	Q₈	—	2	1	no	—
1368	Q₈	—	2	1	no	—
1369	Q₈	—	2	1	no	—
1370	Q₈	—	4	1	no	—
1371	Q₈	—	4	1	no	—
1372	Q₈	—	4	1	no	—
1373	Q₈	—	4	1	no	—
1374	Q₈	—	4	1	no	—
1375	Q₈	—	4	1	no	—
1376	Q₈	—	4	1	no	—
1377	Q₈	—	4	1	no	—
1378	Q₈	—	8	1	no	—
1379	Q₈	—	16	1	no	—
1380	Q₈	—	16	1	no	—
1381	Q₈	—	16	1	no	—
1382	D₄	—	2	1	no	—
1383	D₄	—	2	1	no	—
1384	D₄	—	2	1	no	—
1385	D₄	—	2	1	no	—
1386	D₄	—	2	1	no	—
1387	D₄	—	2	1	no	—
1388	D₄	—	2	1	no	—
1389	D₄	—	2	1	no	—
1390	D₄	—	4	2	no	—
1391	D₄	—	4	2	no	—
1392	D₄	—	4	1	no	—
1393	D₄	—	4	1	no	—
1394	D₄	—	4	1	no	—
1395	D₄	—	4	1	no	—
1396	D₄	—	4	1	no	—
1397	D₄	—	4	1	no	—
1398	D₄	—	4	1	no	—
1399	D₄	—	4	1	no	—
1400	D₄	—	4	1	no	—
1401	D₄	—	4	1	no	—
1402	D₄	—	4	1	no	—
1403	D₄	—	4	1	no	—
1404	D₄	—	8	1	no	—
1405	D₄	—	8	1	no	—
1406	D₄	—	8	1	no	—
1407	D₄	—	8	1	no	—
1408	D₄	—	8	1	no	—
1409	D₄	—	8	2	no	—
1410	D₄	—	8	2	no	—
1411	D₄	—	8	2	no	—
1412	D₄	—	8	2	no	—
1413	D₄	—	8	2	no	—
1414	D₄	—	16	1	no	—
1415	D₄	—	16	1	no	—
1416	D₄	—	16	1	no	—
1417	D₄	—	16	1	no	—
1418	D₄	—	16	1	no	—
1419	D₄	—	16	1	no	—
1420	D₄	—	16	1	no	—
1421	D₄	—	16	1	no	—
1422	D₄	—	16	1	no	—
1423	D₄	C₂×#135	1	2	yes	—
1424	D₄	C₂×#135	1	2	yes	—
1425	C₂×C₄	—	2	1	no	—
1426	C₂×C₄	—	2	1	no	—
1427	C₂×C₄	—	2	1	no	—
1428	C₂×C₄	—	2	1	no	—
1429	C₂×C₄	—	2	1	no	—
1430	C₂×C₄	—	2	1	no	—
1431	C₂×C₄	—	2	1	no	—
1432	C₂×C₄	—	2	1	no	—
1433	C₂×C₄	—	2	1	no	—
1434	C₂×C₄	—	2	1	no	—
1435	C₂×C₄	—	2	1	no	—
1436	C₂×C₄	—	2	1	no	—
1437	C₂×C₄	—	2	1	no	—
1438	C₂×C₄	—	2	1	no	—
1439	C₂×C₄	—	2	1	no	—
1440	C₂×C₄	—	4	1	no	—
1441	C₂×C₄	—	4	2	no	—
1442	C₂×C₄	—	4	1	no	—
1443	C₂×C₄	—	4	1	no	—
1444	C₂×C₄	—	4	1	no	—
1445	C₂×C₄	—	4	1	no	—
1446	C₂×C₄	—	4	1	no	—
1447	C₂×C₄	—	4	1	no	—
1448	C₂×C₄	—	4	1	no	—
1449	C₂×C₄	—	4	1	no	—
1450	C₂×C₄	—	4	1	no	—
1451	C₂×C₄	—	4	1	no	—
1452	C₂×C₄	—	4	1	no	—
1453	C₂×C₄	—	4	1	no	—
1454	C₂×C₄	—	4	1	no	—
1455	C₂×C₄	—	4	1	no	—
1456	C₂×C₄	—	4	1	no	—
1457	C₂×C₄	—	8	1	no	—
1458	C₂×C₄	—	8	1	no	—
1459	C₂×C₄	—	8	1	no	—
1460	C₂×C₄	—	8	1	no	—
1461	C₂×C₄	—	8	2	no	—
1462	C₂×C₄	—	16	1	no	—
1463	C₂×C₄	—	16	1	no	—
1464	C₂×C₄	—	16	1	no	—
1465	C₂×C₄	—	16	1	no	—
1466	C₂×C₄	—	16	1	no	—
1467	C₂×C₄	—	16	1	no	—
1468	C₂×C₄	—	16	1	no	—
1469	C₂×C₄	—	16	1	no	—
1470	C₂×C₄	—	16	1	no	—
1471	C₂×C₄	—	16	1	no	—
1472	C₂×C₄	—	16	1	no	—
1473	C₂×C₄	D₄²	1	1	yes	characteristic
1474	C₂×C₄	D₄²	1	1	yes	characteristic
1475	C₂×C₄	D₄²	1	1	yes	characteristic
1476	C₂×C₄	C₂³×D₄	1	1	yes	characteristic
1477	C₂×C₄	C₂³×D₄	1	1	yes	characteristic
1478	C₂×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1479	C₈	—	2	1	no	—
1480	C₈	—	2	1	no	—
1481	C₈	—	2	1	no	—
1482	C₈	—	2	1	no	—
1483	C₈	—	2	1	no	—
1484	C₈	—	2	1	no	—
1485	C₈	—	4	1	no	—
1486	C₈	—	4	1	no	—
1487	C₈	—	4	1	no	—
1488	C₈	—	4	1	no	—
1489	C₈	—	4	1	no	—
1490	C₈	—	4	1	no	—
1491	C₈	—	4	1	no	—
1492	C₈	—	4	1	no	—
1493	C₈	—	4	1	no	—
1494	C₈	—	4	1	no	—
1495	C₈	C₂×#135	1	2	yes	—
1496	C₈	#576	1	2	yes	—
1497	C₂²	—	2	1	no	—
1498	C₂²	—	2	2	no	—
1499	C₂²	—	2	2	no	—
1500	C₂²	—	2	1	no	—
1501	C₂²	—	2	1	no	—
1502	C₂²	—	4	1	no	—
1503	C₂²	—	4	1	no	—
1504	C₂²	—	4	1	no	—
1505	C₂²	—	4	1	no	—
1506	C₂²	—	4	1	no	—
1507	C₂²	—	4	1	no	—
1508	C₂²	—	4	1	no	—
1509	C₂²	—	4	1	no	—
1510	C₂²	—	4	1	no	—
1511	C₂²	—	4	1	no	—
1512	C₂²	—	4	1	no	—
1513	C₂²	—	4	1	no	—
1514	C₂²	—	4	1	no	—
1515	C₂²	—	8	4	no	—
1516	C₂²	—	8	1	no	—
1517	C₂²	—	8	1	no	—
1518	C₂²	—	8	1	no	—
1519	C₂²	—	8	1	no	—
1520	C₂²	—	8	1	no	—
1521	C₂²	—	8	1	no	—
1522	C₂²	—	8	1	no	—
1523	C₂²	—	8	1	no	—
1524	C₂²	—	8	1	no	—
1525	C₂²	—	32	2	no	—
1526	C₂²	—	32	2	no	—
1527	C₂²	—	32	2	no	—
1528	C₂²	C₂×D₄²	1	1	yes	characteristic
1529	C₄	—	2	1	no	—
1530	C₄	—	2	1	no	—
1531	C₄	—	2	1	no	—
1532	C₄	—	2	1	no	—
1533	C₄	—	4	1	no	—
1534	C₄	—	4	1	no	—
1535	C₄	—	4	1	no	—
1536	C₄	—	4	1	no	—
1537	C₄	—	4	1	no	—
1538	C₄	—	4	1	no	—
1539	C₄	—	4	1	no	—
1540	C₄	—	4	1	no	—
1541	C₄	—	4	1	no	—
1542	C₄	—	4	1	no	—
1543	C₄	—	4	1	no	—
1544	C₄	—	8	1	no	—
1545	C₄	—	8	1	no	—
1546	C₄	—	8	1	no	—
1547	C₄	—	8	1	no	—
1548	C₄	—	8	1	no	—
1549	C₄	C₂²×#135	1	1	yes	characteristic
1550	C₄	C₂×#576	1	1	yes	characteristic
1551	C₄	#3584	1	1	yes	characteristic
1552	C₄	#3585	1	1	yes	characteristic
1553	C₂	—	4	1	no	—
1554	C₂	—	4	2	no	—
1555	C₂	—	4	2	no	—
1556	C₂	—	8	1	no	—
1557	C₂	—	8	1	no	—
1558	C₂	—	8	1	no	—
1559	C₂	—	16	1	no	—
1560	C₂	—	16	1	no	—
1561	C₂	—	16	1	no	—
1562	C₂	D₄×#135	1	1	yes	characteristic
1563	C₂	#61093	1	1	yes	characteristic
1564	C₂	#61107	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. #62419	C₂	semidirect
2. #62250	C₂	semidirect
3. #61553	C₂	semidirect
4. #61539	C₂	semidirect
5. #20017	C₂	semidirect
6. #19999	C₂	semidirect
7. #19970	C₂	semidirect
8. D₈×SD₁₆	C₂	semidirect
9. #19947	C₂	semidirect
10. #19912	C₂	semidirect
11. #19910	C₂	semidirect
12. #19890	C₂	semidirect
13. #19871	C₂	semidirect
14. #19863	C₂	semidirect
15. #19841	C₂	semidirect
16. #19835	C₂	semidirect
17. #19811	C₂	semidirect
18. #19777	C₂	semidirect
19. #19771	C₂	semidirect
20. #19755	C₂	semidirect
21. #19641	C₂	semidirect
22. #19250	C₂	semidirect
23. #19246	C₂	semidirect
24. #19127	C₂	semidirect
25. #19101	C₂	semidirect
26. #18900	C₂	semidirect
27. #18890	C₂	semidirect
28. #18878	C₂	semidirect
29. #18866	C₂	semidirect
30. #18070	C₂	semidirect
31. C₈×AGL(1,ℤ/8)	C₂	semidirect
32. #3520	C₂²	semidirect
33. #3519	C₂²	semidirect
35. #3514	C₂²	semidirect
36. #3399	C₂²	semidirect
37. #3396	C₂²	semidirect
38. #3394	C₂²	semidirect
39. #3394	C₂²	semidirect
40. #3394	C₂²	semidirect
41. #3393	C₂²	semidirect
44. #3373	C₂²	semidirect
45. #3367	C₂²	semidirect
46. #3361	C₂²	semidirect
49. #3353	C₂²	semidirect
51. #3340	C₂²	semidirect
52. #3340	C₂²	semidirect
54. #3335	C₂²	semidirect
57. #3324	C₂²	semidirect
61. #3304	C₂²	semidirect
63. #3302	C₂²	semidirect
65. #3299	C₂²	semidirect
68. #3294	C₂²	semidirect
69. D₄×Q₁₆	C₂²	semidirect
71. #3284	C₂²	semidirect
75. D₄×SD₁₆	C₂²	semidirect
76. D₄×SD₁₆	C₂²	semidirect
77. D₄×SD₁₆	C₂²	semidirect
80. D₄×D₈	C₂²	semidirect
84. #3248	C₂²	semidirect
85. #3247	C₂²	semidirect
86. #3228	C₂²	semidirect
88. #3212	C₂²	semidirect
91. #3207	C₂²	semidirect
94. #3184	C₂²	semidirect
95. #3182	C₂²	semidirect
100. #3167	C₂²	semidirect
101. #3147	C₂²	semidirect
107. #3107	C₂²	semidirect
109. #3100	C₂²	semidirect
110. #3100	C₂²	semidirect
113. #2969	C₂²	semidirect
114. #2969	C₂²	semidirect
115. C₈×#41	C₂²	semidirect
119. C₂×C₈×D₄	C₂²	semidirect
120. #1723	C₂²	semidirect
121. #1721	C₂²	semidirect
122. #1720	C₂²	semidirect
123. #1717	C₂²	semidirect
124. #1708	C₂²	semidirect
125. #1706	C₂²	semidirect
126. #1706	C₂²	semidirect
127. #1705	C₂²	semidirect
128. #1702	C₂²	semidirect
129. #1701	C₂²	semidirect
130. #1699	C₂²	semidirect
131. #1698	C₂²	semidirect
132. #1694	C₂²	semidirect
133. #1691	C₂²	semidirect
134. #1687	C₂²	semidirect
135. #1686	C₂²	semidirect
136. #1684	C₂²	semidirect
137. #1683	C₂²	semidirect
138. #1682	C₂²	semidirect
139. #1682	C₂²	semidirect
140. #1681	C₂²	semidirect
141. #1681	C₂²	semidirect
142. #1680	C₂²	semidirect
143. #1677	C₂²	semidirect
144. #1673	C₂²	semidirect
145. #1672	C₂²	semidirect
146. #1672	C₂²	semidirect
147. #1671	C₂²	semidirect
148. #1669	C₂²	semidirect
149. #1669	C₂²	semidirect
150. #1668	C₂²	semidirect
152. #1667	C₂²	semidirect
153. #1666	C₂²	semidirect
154. #1665	C₂²	semidirect
155. #1665	C₂²	semidirect
156. #1665	C₂²	semidirect
157. #1665	C₂²	semidirect
158. #1665	C₂²	semidirect
159. #1665	C₂²	semidirect
160. #1654	C₂²	semidirect
161. #1652	C₂²	semidirect
162. #1652	C₂²	semidirect
163. #1651	C₂²	semidirect
164. #1650	C₂²	semidirect
165. #1649	C₂²	semidirect
166. #1649	C₂²	semidirect
167. #1647	C₂²	semidirect
168. #1646	C₂²	semidirect
169. #1644	C₂²	semidirect
170. #1641	C₂²	semidirect
171. #1640	C₂²	semidirect
172. #1640	C₂²	semidirect
173. #1639	C₂²	semidirect
174. #1639	C₂²	semidirect
175. #1639	C₂²	semidirect
176. #1638	C₂²	semidirect
177. #1637	C₂²	semidirect
178. #1630	C₂²	semidirect
179. #1629	C₂²	semidirect
180. #1628	C₂²	semidirect
181. #1628	C₂²	semidirect
182. #1627	C₂²	semidirect
183. #1627	C₂²	semidirect
185. #1625	C₂²	semidirect
187. #1622	C₂²	semidirect
188. #1621	C₂²	semidirect
189. #1620	C₂²	semidirect
191. #1619	C₂²	semidirect
192. #1590	C₂²	semidirect
193. #1590	C₂²	semidirect
194. #1584	C₂²	semidirect
195. #1584	C₂²	semidirect
196. #1581	C₂²	semidirect
197. #1581	C₂²	semidirect
199. #1580	C₂²	semidirect
200. SD₁₆⋊C₈	C₂²	semidirect
201. SD₁₆⋊C₈	C₂²	semidirect
202. C₈×SD₁₆	C₂²	semidirect
203. C₈×SD₁₆	C₂²	semidirect
204. C₈×SD₁₆	C₂²	semidirect
205. C₈×SD₁₆	C₂²	semidirect
207. C₈×D₈	C₂²	semidirect
208. #1565	C₂²	semidirect
209. #1564	C₂²	semidirect
210. #1544	C₂²	semidirect
211. #1543	C₂²	semidirect
212. #1540	C₂²	semidirect
213. #1540	C₂²	semidirect
214. #1482	C₂²	semidirect
215. #1482	C₂²	semidirect
216. #1478	C₂²	semidirect
217. #1477	C₂²	semidirect
218. C₈×M₁₆	C₂²	semidirect
1206. D₈	#135	semidirect

Maximal subgroups

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

subgroup	index
#62419	2
#62250	2
#61553	2
#61539	2
#20017	2
#19999	2
#19970	2
D₈×SD₁₆	2
#19947	2
#19912	2
#19910	2
#19890	2
#19871	2
#19863	2
#19841	2
#19835	2
#19811	2
#19777	2
#19771	2
#19755	2
#19641	2
#19250	2
#19246	2
#19127	2
#19101	2
#18900	2
#18890	2
#18878	2
#18866	2
#18070	2
C₈×AGL(1,ℤ/8)	2