Subgroups — #7659721

Order 512.

4454 conjugacy classes of subgroups.

The subgroup lattice has 2419 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#52289	C₂	1	1	yes	maximal, characteristic, complemented
2	#52162	C₂	1	2	yes	maximal, complemented
3	#42954	C₂	1	1	yes	maximal, characteristic
4	#42930	C₂	1	1	yes	maximal, characteristic
5	#42825	C₂	1	1	yes	maximal, characteristic, complemented
6	#42820	C₂	1	1	yes	maximal, characteristic, complemented
7	#42498	C₂	1	1	yes	maximal, characteristic, complemented
8	#42496	C₂	1	1	yes	maximal, characteristic, complemented
9	#42008	C₂	1	2	yes	maximal, complemented
10	#42005	C₂	1	2	yes	maximal, complemented
11	#40637	C₂	1	2	yes	maximal, complemented
12	#40635	C₂	1	2	yes	maximal, complemented
13	#40625	C₂	1	2	yes	maximal, complemented
14	#40625	C₂	1	2	yes	maximal, complemented
15	#39981	C₂	1	1	yes	maximal, characteristic
16	#39981	C₂	1	1	yes	maximal, characteristic
17	#39979	C₂	1	1	yes	maximal, characteristic, complemented
18	#39977	C₂	1	1	yes	maximal, characteristic, complemented
19	#39969	C₂	1	2	yes	maximal, complemented
20	#39964	C₂	1	2	yes	maximal, complemented
21	#39370	C₂	1	1	yes	maximal, characteristic, complemented
22	#39181	C₂	1	1	yes	maximal, characteristic, complemented
23	#39175	C₂	1	2	yes	maximal, complemented
24	#38459	C₂	1	2	yes	maximal, complemented
25	#37690	C₂	1	2	yes	maximal, complemented
26	#37689	C₂	1	2	yes	maximal, complemented
27	#37314	C₂	1	1	yes	maximal, characteristic, complemented
28	#37313	C₂	1	1	yes	maximal, characteristic, complemented
29	#37308	C₂	1	1	yes	maximal, characteristic, complemented
30	#37138	C₂	1	2	yes	maximal, complemented
31	#36755	C₂	1	2	yes	maximal, complemented
32	#36754	C₂	1	2	yes	maximal, complemented
33	#36599	C₂	1	1	yes	maximal, characteristic, complemented
34	#36497	C₂	1	1	yes	maximal, characteristic, complemented
35	#36477	C₂	1	1	yes	maximal, characteristic, complemented
36	#36286	C₂	1	1	yes	maximal, characteristic, complemented
37	#36133	C₂	1	1	yes	maximal, characteristic, complemented
38	#36132	C₂	1	1	yes	maximal, characteristic, complemented
39	#35952	C₂	1	1	yes	maximal, characteristic, complemented
40	#35936	C₂	1	1	yes	maximal, characteristic, complemented
41	#35871	C₂	1	1	yes	maximal, characteristic, complemented
42	#35867	C₂	1	1	yes	maximal, characteristic, complemented
43	#35788	C₂	1	1	yes	maximal, characteristic, complemented
44	#35783	C₂	1	1	yes	maximal, characteristic, complemented
45	#34263	C₂	1	1	yes	maximal, characteristic
46	#34260	C₂	1	1	yes	maximal, characteristic
47	#34252	C₂	1	1	yes	maximal, characteristic
48	C₂×#544	C₂²	1	2	yes	—
49	C₂×#533	C₂²	1	2	yes	—
50	C₂×#533	C₂²	1	2	yes	—
51	C₂×#520	C₂²	1	1	yes	characteristic
52	#2864	C₂²	1	2	yes	—
53	#2863	C₂²	1	2	yes	—
54	#2862	C₂²	1	1	yes	characteristic
55	#2859	C₂²	1	1	yes	characteristic
56	#2859	C₂²	1	1	yes	characteristic
57	#2859	C₂²	1	1	yes	characteristic
58	#2857	C₂²	1	1	yes	characteristic
59	#2857	C₂²	1	1	yes	characteristic
60	#2857	C₂²	1	2	yes	—
61	#2855	C₂²	1	2	yes	—
62	#2855	C₂²	1	2	yes	—
63	#2851	C₂²	1	2	yes	—
64	#2844	C₂²	1	2	yes	—
65	#2843	C₂²	1	2	yes	—
66	#2841	C₂²	1	2	yes	—
67	#2841	C₂²	1	2	yes	—
68	#2841	C₂²	1	2	yes	—
69	#2841	C₂²	1	2	yes	—
70	#2807	C₂²	1	1	yes	characteristic
71	#2807	C₂²	1	2	yes	—
72	#2806	C₂²	1	2	yes	—
73	#2805	C₂²	1	2	yes	—
74	#2805	C₂²	1	2	yes	—
75	#2805	C₂²	1	2	yes	—
76	#2804	C₂²	1	2	yes	—
77	#2802	C₂²	1	2	yes	—
78	#2802	C₂²	1	2	yes	—
79	#2802	C₂²	1	2	yes	—
80	#2802	C₂²	1	1	yes	characteristic
81	#2802	C₂²	1	1	yes	characteristic
82	#2792	C₂²	1	2	yes	—
83	#2792	C₂²	1	2	yes	—
84	#2792	C₂²	1	1	yes	characteristic
85	#2792	C₂²	1	1	yes	characteristic
86	#2791	C₂²	1	2	yes	—
87	#2790	C₂²	1	2	yes	—
88	#2790	C₂²	1	2	yes	—
89	#2790	C₂²	1	2	yes	—
90	#2790	C₂²	1	1	yes	characteristic
91	#2790	C₂²	1	1	yes	characteristic
92	#2788	C₂²	1	2	yes	—
93	#2788	C₂²	1	2	yes	—
94	#2788	C₂²	1	2	yes	—
95	#2788	C₂²	1	2	yes	—
96	#2784	C₂²	1	2	yes	—
97	#2784	C₂²	1	2	yes	—
98	#2784	C₂²	1	2	yes	—
99	#2780	C₂²	1	2	yes	—
100	#2780	C₂²	1	2	yes	—
101	#2780	C₂²	1	2	yes	—
102	#2774	C₂²	1	2	yes	—
103	#2774	C₂²	1	2	yes	—
104	#2774	C₂²	1	2	yes	—
105	#2774	C₂²	1	2	yes	—
106	#2774	C₂²	1	2	yes	—
107	#2768	C₂²	1	2	yes	—
108	#2763	C₂²	1	2	yes	—
109	#2763	C₂²	1	2	yes	—
110	#2763	C₂²	1	1	yes	characteristic
111	#2755	C₂²	1	1	yes	characteristic
112	#2755	C₂²	1	2	yes	—
113	#2755	C₂²	1	1	yes	characteristic
114	#2755	C₂²	1	2	yes	—
115	#2748	C₂²	1	2	yes	—
116	#2742	C₂²	1	2	yes	—
117	#2742	C₂²	1	1	yes	characteristic
118	#2742	C₂²	1	2	yes	—
119	#2734	C₂²	1	2	yes	—
120	#2734	C₂²	1	2	yes	—
121	#2734	C₂²	1	2	yes	—
122	#2734	C₂²	1	2	yes	—
123	#2732	C₂²	1	2	yes	—
124	#2729	C₂²	1	2	yes	—
125	#2729	C₂²	1	2	yes	—
126	#2729	C₂²	1	2	yes	—
127	#2729	C₂²	1	2	yes	—
128	#2729	C₂²	1	2	yes	—
129	#2726	C₂²	1	2	yes	—
130	#2726	C₂²	1	2	yes	—
131	#2720	C₂²	1	2	yes	—
132	#2720	C₂²	1	2	yes	—
133	#2713	C₂²	1	2	yes	—
134	#2713	C₂²	1	2	yes	—
135	#2713	C₂²	1	2	yes	—
136	#2713	C₂²	1	1	yes	characteristic
137	#2713	C₂²	1	1	yes	characteristic
138	#2713	C₂²	1	2	yes	—
139	#2713	C₂²	1	2	yes	—
140	#2704	C₂²	1	2	yes	—
141	#2704	C₂²	1	2	yes	—
142	#2704	C₂²	1	2	yes	—
143	#2704	C₂²	1	2	yes	—
144	#2704	C₂²	1	2	yes	—
145	#2704	C₂²	1	1	yes	characteristic
146	#2704	C₂²	1	1	yes	characteristic
147	#2692	C₂²	1	2	yes	—
148	#2692	C₂²	1	2	yes	—
149	#2692	C₂²	1	2	yes	—
150	#2692	C₂²	1	2	yes	—
151	#2692	C₂²	1	2	yes	—
152	#2683	C₂²	1	2	yes	—
153	#2683	C₂²	1	2	yes	—
154	#2677	C₂²	1	2	yes	—
155	#2677	C₂²	1	2	yes	—
156	#2677	C₂²	1	1	yes	characteristic
157	#2677	C₂²	1	2	yes	—
158	#2667	C₂²	1	2	yes	—
159	#2666	C₂²	1	2	yes	—
160	#2666	C₂²	1	2	yes	—
161	#2666	C₂²	1	2	yes	—
162	#2666	C₂²	1	2	yes	—
163	#2666	C₂²	1	2	yes	—
164	#2666	C₂²	1	2	yes	—
165	#2665	C₂²	1	2	yes	—
166	#2665	C₂²	1	2	yes	—
167	#2665	C₂²	1	2	yes	—
168	#2665	C₂²	1	2	yes	—
169	#2665	C₂²	1	2	yes	—
170	#2665	C₂²	1	2	yes	—
171	#2665	C₂²	1	2	yes	—
172	#2665	C₂²	1	2	yes	—
173	#2665	C₂²	1	2	yes	—
174	#2660	C₂²	1	1	yes	characteristic
175	#2660	C₂²	1	2	yes	—
176	#2660	C₂²	1	1	yes	characteristic
177	#2659	C₂²	1	2	yes	—
178	#2647	C₂²	1	1	yes	characteristic
179	#2647	C₂²	1	2	yes	—
180	#2647	C₂²	1	1	yes	characteristic
181	#2646	C₂²	1	2	yes	—
182	#2646	C₂²	1	2	yes	—
183	#2629	C₂²	1	2	yes	—
184	#2629	C₂²	1	2	yes	—
185	#2628	C₂²	1	1	yes	characteristic
186	#2628	C₂²	1	1	yes	characteristic
187	#2627	C₂²	1	2	yes	—
188	#2612	C₂²	1	2	yes	—
189	#2612	C₂²	1	2	yes	—
190	#2612	C₂²	1	2	yes	—
191	#2608	C₂²	1	2	yes	—
192	#2608	C₂²	1	2	yes	—
193	#2608	C₂²	1	2	yes	—
194	#2608	C₂²	1	2	yes	—
195	#2607	C₂²	1	2	yes	—
196	#2607	C₂²	1	2	yes	—
197	#2606	C₂²	1	2	yes	—
198	#2606	C₂²	1	2	yes	—
199	#2605	C₂²	1	2	yes	—
200	#2605	C₂²	1	2	yes	—
201	#2605	C₂²	1	2	yes	—
202	#2605	C₂²	1	2	yes	—
203	#2590	C₂²	1	2	yes	—
204	#2589	C₂²	1	2	yes	—
205	#2588	C₂²	1	2	yes	—
206	#2588	C₂²	1	2	yes	—
207	#2588	C₂²	1	2	yes	—
208	#2588	C₂²	1	2	yes	—
209	#2588	C₂²	1	2	yes	—
210	#2587	C₂²	1	2	yes	—
211	#2587	C₂²	1	2	yes	—
212	#2587	C₂²	1	2	yes	—
213	#2586	C₂²	1	2	yes	—
214	#2586	C₂²	1	2	yes	—
215	#2585	C₂²	1	2	yes	—
216	#2585	C₂²	1	2	yes	—
217	#2585	C₂²	1	2	yes	—
218	#2585	C₂²	1	2	yes	—
219	#2582	C₂²	1	1	yes	characteristic
220	#2581	C₂²	1	1	yes	characteristic
221	#2581	C₂²	1	1	yes	characteristic
222	#2581	C₂²	1	1	yes	characteristic
223	#2580	C₂²	1	1	yes	characteristic
224	#2574	C₂²	1	2	yes	—
225	#2574	C₂²	1	2	yes	—
226	#2571	C₂²	1	1	yes	characteristic
227	#2570	C₂²	1	1	yes	characteristic
228	#2570	C₂²	1	1	yes	characteristic
229	#2570	C₂²	1	2	yes	—
230	#2570	C₂²	1	2	yes	—
231	#2570	C₂²	1	1	yes	characteristic
232	#2570	C₂²	1	1	yes	characteristic
233	#2570	C₂²	1	1	yes	characteristic
234	#2570	C₂²	1	1	yes	characteristic
235	#2569	C₂²	1	2	yes	—
236	#2569	C₂²	1	2	yes	—
237	#2569	C₂²	1	2	yes	—
238	#2569	C₂²	1	2	yes	—
239	#2568	C₂²	1	1	yes	characteristic
240	#2567	C₂²	1	1	yes	characteristic
241	#2567	C₂²	1	1	yes	characteristic
242	#2567	C₂²	1	1	yes	characteristic
243	#2566	C₂²	1	1	yes	characteristic
244	#2566	C₂²	1	1	yes	characteristic
245	#2566	C₂²	1	1	yes	characteristic
246	#2565	C₂²	1	1	yes	characteristic
247	#2563	C₂²	1	1	yes	characteristic
248	#2552	C₂²	1	1	yes	characteristic
249	#2552	C₂²	1	1	yes	characteristic
250	#2552	C₂²	1	1	yes	characteristic
251	#2551	C₂²	1	1	yes	characteristic
252	#2551	C₂²	1	2	yes	—
253	#2551	C₂²	1	1	yes	characteristic
254	#2551	C₂²	1	1	yes	characteristic
255	#2551	C₂²	1	1	yes	characteristic
256	#2551	C₂²	1	1	yes	characteristic
257	#2551	C₂²	1	1	yes	characteristic
258	#2550	C₂²	1	1	yes	characteristic
259	#2550	C₂²	1	2	yes	—
260	#2550	C₂²	1	1	yes	characteristic
261	#2550	C₂²	1	1	yes	characteristic
262	#2550	C₂²	1	2	yes	—
263	#2550	C₂²	1	1	yes	characteristic
264	#2549	C₂²	1	2	yes	—
265	#2549	C₂²	1	2	yes	—
266	#2549	C₂²	1	2	yes	—
267	#2549	C₂²	1	2	yes	—
268	#2546	C₂²	1	1	yes	characteristic
269	#2546	C₂²	1	1	yes	characteristic
270	#2546	C₂²	1	1	yes	characteristic
271	#2538	C₂²	1	1	yes	characteristic
272	#2538	C₂²	1	1	yes	characteristic
273	#2538	C₂²	1	1	yes	characteristic
274	#2522	C₂²	1	2	yes	—
275	#2520	C₂²	1	2	yes	—
276	#2520	C₂²	1	2	yes	—
277	#2520	C₂²	1	2	yes	—
278	#2511	C₂²	1	2	yes	—
279	#2511	C₂²	1	2	yes	—
280	#2511	C₂²	1	2	yes	—
281	#2509	C₂²	1	1	yes	characteristic
282	#2509	C₂²	1	1	yes	characteristic
283	#2509	C₂²	1	1	yes	characteristic
284	#2508	C₂²	1	1	yes	characteristic
285	#2507	C₂²	1	1	yes	characteristic
286	#2506	C₂²	1	1	yes	characteristic
287	#2506	C₂²	1	1	yes	characteristic
288	#2506	C₂²	1	1	yes	characteristic
289	#2497	C₂²	1	2	yes	—
290	#2492	C₂²	1	2	yes	—
291	#2465	C₂²	1	2	yes	—
292	#2465	C₂²	1	2	yes	—
293	#2465	C₂²	1	2	yes	—
294	#2465	C₂²	1	2	yes	—
295	#2465	C₂²	1	2	yes	—
296	#2462	C₂²	1	2	yes	—
297	#2462	C₂²	1	2	yes	—
298	#2462	C₂²	1	2	yes	—
299	#2462	C₂²	1	2	yes	—
300	#2462	C₂²	1	2	yes	—
301	#2462	C₂²	1	2	yes	—
302	#2462	C₂²	1	2	yes	—
303	#2454	C₂²	1	1	yes	characteristic
304	#2453	C₂²	1	1	yes	characteristic
305	#2453	C₂²	1	1	yes	characteristic
306	#2453	C₂²	1	1	yes	characteristic
307	#2452	C₂²	1	1	yes	characteristic
308	#2452	C₂²	1	1	yes	characteristic
309	#2452	C₂²	1	1	yes	characteristic
310	#2452	C₂²	1	1	yes	characteristic
311	#2452	C₂²	1	1	yes	characteristic
312	#2452	C₂²	1	1	yes	characteristic
313	#2452	C₂²	1	1	yes	characteristic
314	#2451	C₂²	1	1	yes	characteristic
315	#2451	C₂²	1	1	yes	characteristic
316	#2451	C₂²	1	2	yes	—
317	#2451	C₂²	1	1	yes	characteristic
318	#2451	C₂²	1	2	yes	—
319	#2451	C₂²	1	1	yes	characteristic
320	#2451	C₂²	1	2	yes	—
321	#2451	C₂²	1	2	yes	—
322	#2451	C₂²	1	1	yes	characteristic
323	#2446	C₂²	1	2	yes	—
324	#2446	C₂²	1	2	yes	—
325	#2446	C₂²	1	2	yes	—
326	#2442	C₂²	1	2	yes	—
327	#2442	C₂²	1	1	yes	characteristic
328	#2442	C₂²	1	1	yes	characteristic
329	#2441	C₂²	1	2	yes	—
330	#2441	C₂²	1	1	yes	characteristic
331	#2441	C₂²	1	1	yes	characteristic
332	#2440	C₂²	1	2	yes	—
333	#2440	C₂²	1	1	yes	characteristic
334	#2440	C₂²	1	1	yes	characteristic
335	#2439	C₂²	1	2	yes	—
336	#2439	C₂²	1	2	yes	—
337	#2439	C₂²	1	2	yes	—
338	#2439	C₂²	1	2	yes	—
339	#2439	C₂²	1	1	yes	characteristic
340	#2439	C₂²	1	1	yes	characteristic
341	#2439	C₂²	1	2	yes	—
342	#2438	C₂²	1	2	yes	—
343	#2438	C₂²	1	2	yes	—
344	#2438	C₂²	1	2	yes	—
345	#2438	C₂²	1	2	yes	—
346	#2438	C₂²	1	2	yes	—
347	#2438	C₂²	1	2	yes	—
348	#2429	C₂²	1	2	yes	—
349	#2429	C₂²	1	2	yes	—
350	#2402	C₂²	1	1	yes	characteristic
351	#2402	C₂²	1	1	yes	characteristic
352	#2399	C₂²	1	1	yes	characteristic
353	#2399	C₂²	1	2	yes	—
354	#2399	C₂²	1	2	yes	—
355	#2399	C₂²	1	1	yes	characteristic
356	#2396	C₂²	1	2	yes	—
357	#2396	C₂²	1	1	yes	characteristic
358	#2396	C₂²	1	1	yes	characteristic
359	#2396	C₂²	1	2	yes	—
360	#2396	C₂²	1	2	yes	—
361	#2396	C₂²	1	2	yes	—
362	#2370	C₂²	1	1	yes	characteristic
363	#2370	C₂²	1	1	yes	characteristic
364	#2370	C₂²	1	1	yes	characteristic
365	#2370	C₂²	1	1	yes	characteristic
366	#2369	C₂²	1	1	yes	characteristic
367	#2369	C₂²	1	1	yes	characteristic
368	#2365	C₂²	1	1	yes	characteristic
369	#2365	C₂²	1	1	yes	characteristic
370	#2365	C₂²	1	1	yes	characteristic
371	#2365	C₂²	1	1	yes	characteristic
372	#2365	C₂²	1	1	yes	characteristic
373	#2365	C₂²	1	1	yes	characteristic
374	#2357	C₂²	1	1	yes	characteristic
375	#2357	C₂²	1	2	yes	—
376	#2357	C₂²	1	1	yes	characteristic
377	#2357	C₂²	1	1	yes	characteristic
378	#2356	C₂²	1	1	yes	characteristic
379	#2356	C₂²	1	1	yes	characteristic
380	#2356	C₂²	1	1	yes	characteristic
381	#2355	C₂²	1	1	yes	characteristic
382	#2355	C₂²	1	1	yes	characteristic
383	#2355	C₂²	1	1	yes	characteristic
384	#2355	C₂²	1	1	yes	characteristic
385	#2355	C₂²	1	1	yes	characteristic
386	#2355	C₂²	1	1	yes	characteristic
387	#2354	C₂²	1	1	yes	characteristic
388	#2354	C₂²	1	1	yes	characteristic
389	#2354	C₂²	1	1	yes	characteristic
390	#2354	C₂²	1	2	yes	—
391	#2353	C₂²	1	2	yes	—
392	#2352	C₂²	1	2	yes	—
393	#2351	C₂²	1	1	yes	characteristic
394	Q₈×C₄⋊C₄	C₂²	1	1	yes	characteristic
395	Q₈×C₄⋊C₄	C₂²	1	1	yes	characteristic
396	#2349	C₂²	1	1	yes	characteristic
397	D₄×C₄⋊C₄	C₂²	1	1	yes	characteristic
398	#2347	C₂²	1	2	yes	—
399	#2346	C₂²	1	2	yes	—
400	#2345	C₂²	1	2	yes	—
401	#2345	C₂²	1	2	yes	—
402	#2345	C₂²	1	1	yes	characteristic
403	#2345	C₂²	1	1	yes	characteristic
404	#2344	C₂²	1	1	yes	characteristic
405	#2344	C₂²	1	1	yes	characteristic
406	#2344	C₂²	1	2	yes	—
407	#2344	C₂²	1	2	yes	—
408	#2343	C₂²	1	2	yes	—
409	#2343	C₂²	1	2	yes	—
410	#2341	C₂²	1	1	yes	characteristic
411	#2341	C₂²	1	1	yes	characteristic
412	#2339	C₂²	1	1	yes	characteristic
413	#2339	C₂²	1	1	yes	characteristic
414	#2331	C₂²	1	2	yes	—
415	#2330	C₂²	1	2	yes	—
416	#2329	C₂²	1	2	yes	—
417	#2329	C₂²	1	2	yes	—
418	#2329	C₂²	1	2	yes	—
419	#2320	C₂²	1	1	yes	characteristic
420	#2319	C₂²	1	1	yes	characteristic
421	#2319	C₂²	1	2	yes	—
422	#2318	C₂²	1	2	yes	—
423	#2318	C₂²	1	2	yes	—
424	#2318	C₂²	1	2	yes	—
425	#2317	C₂²	1	1	yes	characteristic
426	#2314	C₂²	1	2	yes	—
427	#2314	C₂²	1	1	yes	characteristic
428	#2314	C₂²	1	1	yes	characteristic
429	#2313	C₂²	1	2	yes	—
430	#2311	C₂²	1	1	yes	characteristic
431	C₄×C₄⋊Q₈	C₂²	1	1	yes	characteristic
432	C₄×C₄⋊Q₈	C₂²	1	2	yes	—
433	C₄×C₄⋊Q₈	C₂²	1	1	yes	characteristic
434	C₄×#125	C₂²	1	1	yes	characteristic
435	C₄×#125	C₂²	1	1	yes	characteristic
436	C₄×C₂²⋊Q₈	C₂²	1	2	yes	—
437	C₄×C₂²⋊Q₈	C₂²	1	2	yes	—
438	C₄×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
439	C₄×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
440	#2298	C₂²	1	2	yes	—
441	#2298	C₂²	1	1	yes	characteristic
442	#2298	C₂²	1	1	yes	characteristic
443	#2297	C₂²	1	1	yes	characteristic
444	#2296	C₂²	1	1	yes	characteristic
445	#2295	C₂²	1	1	yes	characteristic
446	#2295	C₂²	1	2	yes	—
447	#2293	C₂²	1	2	yes	—
448	#2293	C₂²	1	1	yes	characteristic
449	#2290	C₂²	1	2	yes	—
450	#2290	C₂²	1	2	yes	—
451	#2290	C₂²	1	2	yes	—
452	C₂×#387	C₂²	1	2	yes	—
453	#2276	C₂²	1	1	yes	characteristic
454	#2275	C₂²	1	1	yes	characteristic
455	#2274	C₂²	1	1	yes	characteristic
456	C₄²×Q₈	C₂²	1	1	yes	characteristic
457	C₄²×D₄	C₂²	1	1	yes	characteristic
458	C₂×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic
459	C₂²×#41	C₂³	1	1	yes	characteristic
460	#544	—	4	8	no	—
461	#533	—	4	8	no	—
462	#533	—	4	8	no	—
463	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
464	C₂×C₄⋊Q₈	C₂³	1	2	yes	—
465	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
466	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
467	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
468	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
469	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
470	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
471	C₂×C₄⋊Q₈	C₂³	1	2	yes	—
472	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
473	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
474	C₂×C₄⋊Q₈	C₂³	1	2	yes	—
475	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
476	C₂×C₄⋊Q₈	C₂³	1	2	yes	—
477	C₂×C₄⋊Q₈	C₂³	1	2	yes	—
478	C₂×C₄⋊Q₈	C₂³	1	2	yes	—
479	C₂×C₄⋊Q₈	C₂³	1	2	yes	—
480	C₂×C₄⋊Q₈	C₂³	1	2	yes	—
481	C₂×C₄⋊Q₈	C₂³	1	2	yes	—
482	C₂×#125	C₂³	1	1	yes	characteristic
483	C₂×#125	C₂³	1	2	yes	—
484	C₂×#125	C₂³	1	1	yes	characteristic
485	C₂×#125	C₂³	1	1	yes	characteristic
486	C₂×#125	C₂³	1	1	yes	characteristic
487	C₂×#125	C₂³	1	1	yes	characteristic
488	C₂×#125	C₂³	1	1	yes	characteristic
489	C₂×#125	C₂³	1	2	yes	—
490	C₂×#125	C₂³	1	2	yes	—
491	C₂×#125	C₂³	1	2	yes	—
492	C₂×#125	C₂³	1	2	yes	—
493	C₂×#125	C₂³	1	2	yes	—
494	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
495	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
496	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
497	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
498	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
499	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
500	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
501	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
502	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
503	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
504	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
505	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
506	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
507	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
508	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
509	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
510	#520	Q₈	1	16	yes	complemented
511	C₂×C₄×Q₈	C₂³	1	2	yes	—
512	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
513	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
514	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
515	C₂×C₄×Q₈	C₂³	1	2	yes	—
516	C₂×C₄×Q₈	C₂³	1	2	yes	—
517	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
518	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
519	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
520	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
521	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
522	C₂×C₄×Q₈	C₂³	1	2	yes	—
523	C₂×C₄×Q₈	C₂³	1	2	yes	—
524	C₂×C₄×Q₈	C₂³	1	2	yes	—
525	C₂×C₄×Q₈	C₂³	1	2	yes	—
526	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
527	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
528	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
529	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
530	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
531	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
532	C₂×C₄×D₄	C₂³	1	2	yes	—
533	C₂×C₄×D₄	C₂³	1	2	yes	—
534	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
535	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
536	C₂×#117	C₂³	1	1	yes	characteristic
537	C₂×#117	C₂³	1	1	yes	characteristic
538	C₂×#117	C₂³	1	2	yes	—
539	C₂×#117	C₂³	1	2	yes	—
540	C₂×#117	C₂³	1	2	yes	—
541	C₂×#117	C₂³	1	2	yes	—
542	C₂×#117	C₂³	1	2	yes	—
543	C₂×#117	C₂³	1	2	yes	—
544	C₂×#117	C₂³	1	1	yes	characteristic
545	C₂×#117	C₂³	1	2	yes	—
546	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
547	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
548	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
549	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
550	C₂²×C₄²	C₂³	1	2	yes	—
551	C₂²×C₄²	C₂³	1	2	yes	—
552	C₂²×C₄²	C₂³	1	1	yes	characteristic
553	#400	C₂³	1	2	yes	—
554	#400	C₂³	1	2	yes	—
555	#400	C₂³	1	2	yes	—
556	#400	C₂³	1	2	yes	—
557	#400	C₂³	1	2	yes	—
558	#400	C₂³	1	2	yes	—
559	#400	C₂³	1	2	yes	—
560	#400	C₂³	1	2	yes	—
561	#400	C₂³	1	2	yes	—
562	#400	C₂³	1	2	yes	—
563	#400	C₂³	1	2	yes	—
564	#400	C₂³	1	2	yes	—
565	#400	C₂³	1	2	yes	—
566	#400	C₂³	1	2	yes	—
567	#400	C₂³	1	2	yes	—
568	#400	C₂³	1	2	yes	—
569	#400	C₂³	1	2	yes	—
570	#400	C₂³	1	2	yes	—
571	#400	C₂³	1	2	yes	—
572	#400	C₂³	1	2	yes	—
573	#400	C₂³	1	2	yes	—
574	#400	C₂³	1	2	yes	—
575	#400	C₂³	1	2	yes	—
576	#400	C₂³	1	2	yes	—
577	#400	C₂³	1	2	yes	—
578	#400	C₂³	1	2	yes	—
579	#400	C₂³	1	1	yes	characteristic
580	#400	C₂³	1	2	yes	—
581	#400	C₂³	1	2	yes	—
582	#400	C₂³	1	2	yes	—
583	#400	C₂³	1	1	yes	characteristic
584	#400	C₂³	1	2	yes	—
585	#400	C₂³	1	1	yes	characteristic
586	#400	C₂³	1	1	yes	characteristic
587	#400	C₂³	1	2	yes	—
588	#400	C₂³	1	1	yes	characteristic
589	#400	C₂³	1	2	yes	—
590	#400	C₂³	1	2	yes	—
591	#400	C₂³	1	1	yes	characteristic
592	#400	C₂³	1	1	yes	characteristic
593	#400	C₂³	1	1	yes	characteristic
594	#400	C₂³	1	1	yes	characteristic
595	#400	C₂³	1	1	yes	characteristic
596	#400	C₂³	1	2	yes	—
597	#399	C₂³	1	2	yes	—
598	#399	C₂³	1	2	yes	—
599	#399	C₂³	1	1	yes	characteristic
600	#399	C₂³	1	2	yes	—
601	#399	C₂³	1	2	yes	—
602	#399	C₂³	1	2	yes	—
603	#399	C₂³	1	2	yes	—
604	#399	C₂³	1	1	yes	characteristic
605	#398	C₂³	1	2	yes	—
606	#398	C₂³	1	2	yes	—
607	#398	C₂³	1	1	yes	characteristic
608	#398	C₂³	1	1	yes	characteristic
609	#398	C₂³	1	2	yes	—
610	#398	C₂³	1	2	yes	—
611	#398	C₂³	1	2	yes	—
612	#398	C₂³	1	2	yes	—
613	#398	C₂³	1	2	yes	—
614	#398	C₂³	1	2	yes	—
615	#398	C₂³	1	2	yes	—
616	#398	C₂³	1	2	yes	—
617	#398	C₂³	1	2	yes	—
618	#398	C₂³	1	2	yes	—
619	#398	C₂³	1	2	yes	—
620	#398	C₂³	1	2	yes	—
621	#398	C₂³	1	2	yes	—
622	#398	C₂³	1	2	yes	—
623	#398	C₂³	1	2	yes	—
624	#398	C₂³	1	2	yes	—
625	#398	C₂³	1	1	yes	characteristic
626	#398	C₂³	1	2	yes	—
627	#398	C₂³	1	2	yes	—
628	#398	C₂³	1	2	yes	—
629	#398	C₂³	1	1	yes	characteristic
630	#398	C₂³	1	2	yes	—
631	#398	C₂³	1	2	yes	—
632	#398	C₂³	1	2	yes	—
633	#398	C₂³	1	2	yes	—
634	#398	C₂³	1	1	yes	characteristic
635	#398	C₂³	1	1	yes	characteristic
636	#398	C₂³	1	1	yes	characteristic
637	#398	C₂³	1	2	yes	—
638	#398	C₂³	1	2	yes	—
639	#398	C₂³	1	2	yes	—
640	#398	C₂³	1	2	yes	—
641	#398	C₂³	1	2	yes	—
642	#398	C₂³	1	2	yes	—
643	#398	C₂³	1	2	yes	—
644	#398	C₂³	1	1	yes	characteristic
645	#398	C₂³	1	1	yes	characteristic
646	#398	C₂³	1	2	yes	—
647	#398	C₂³	1	2	yes	—
648	#398	C₂³	1	2	yes	—
649	#398	C₂³	1	2	yes	—
650	#398	C₂³	1	2	yes	—
651	#398	C₂³	1	1	yes	characteristic
652	#398	C₂³	1	2	yes	—
653	#398	C₂³	1	2	yes	—
654	#398	C₂³	1	2	yes	—
655	#398	C₂³	1	2	yes	—
656	#398	C₂³	1	1	yes	characteristic
657	#398	C₂³	1	2	yes	—
658	#398	C₂³	1	2	yes	—
659	#398	C₂³	1	2	yes	—
660	#398	C₂³	1	1	yes	characteristic
661	#398	C₂³	1	2	yes	—
662	#398	C₂³	1	1	yes	characteristic
663	#398	C₂³	1	2	yes	—
664	#398	C₂³	1	2	yes	—
665	#398	C₂³	1	2	yes	—
666	#398	C₂³	1	2	yes	—
667	#398	C₂³	1	1	yes	characteristic
668	#398	C₂³	1	1	yes	characteristic
669	#398	C₂³	1	2	yes	—
670	#398	C₂³	1	1	yes	characteristic
671	#398	C₂³	1	1	yes	characteristic
672	#398	C₂³	1	1	yes	characteristic
673	#398	C₂³	1	1	yes	characteristic
674	#398	C₂³	1	1	yes	characteristic
675	#398	C₂³	1	2	yes	—
676	#398	C₂³	1	2	yes	—
677	#396	C₂³	1	2	yes	—
678	#396	C₂³	1	2	yes	—
679	#396	C₂³	1	2	yes	—
680	#396	C₂³	1	2	yes	—
681	#396	C₂³	1	2	yes	—
682	#396	C₂³	1	2	yes	—
683	#396	C₂³	1	2	yes	—
684	#396	C₂³	1	2	yes	—
685	#396	C₂³	1	2	yes	—
686	#396	C₂³	1	2	yes	—
687	#396	C₂³	1	2	yes	—
688	#396	C₂³	1	2	yes	—
689	#396	C₂³	1	2	yes	—
690	#396	C₂³	1	2	yes	—
691	#396	C₂³	1	2	yes	—
692	#396	C₂³	1	2	yes	—
693	#396	C₂³	1	2	yes	—
694	#396	C₂³	1	2	yes	—
695	#396	C₂³	1	2	yes	—
696	#396	C₂³	1	2	yes	—
697	#396	C₂³	1	1	yes	characteristic
698	#396	C₂³	1	1	yes	characteristic
699	#396	C₂³	1	1	yes	characteristic
700	#396	C₂³	1	1	yes	characteristic
701	#396	C₂³	1	2	yes	—
702	#396	C₂³	1	2	yes	—
703	#396	C₂³	1	2	yes	—
704	#396	C₂³	1	2	yes	—
705	#395	C₂³	1	2	yes	—
706	#395	C₂³	1	2	yes	—
707	#395	C₂³	1	2	yes	—
708	#395	C₂³	1	2	yes	—
709	#395	C₂³	1	2	yes	—
710	#395	C₂³	1	2	yes	—
711	#395	C₂³	1	1	yes	characteristic
712	#395	C₂³	1	2	yes	—
713	#395	C₂³	1	2	yes	—
714	#395	C₂³	1	2	yes	—
715	#395	C₂³	1	2	yes	—
716	#395	C₂³	1	2	yes	—
717	#395	C₂³	1	2	yes	—
718	#395	C₂³	1	2	yes	—
719	#395	C₂³	1	2	yes	—
720	#395	C₂³	1	2	yes	—
721	#395	C₂³	1	2	yes	—
722	#395	C₂³	1	2	yes	—
723	#395	C₂³	1	1	yes	characteristic
724	#395	C₂³	1	2	yes	—
725	#395	C₂³	1	2	yes	—
726	#395	C₂³	1	2	yes	—
727	#395	C₂³	1	2	yes	—
728	#395	C₂³	1	1	yes	characteristic
729	#395	C₂³	1	2	yes	—
730	#395	C₂³	1	2	yes	—
731	#395	C₂³	1	2	yes	—
732	#395	C₂³	1	2	yes	—
733	#395	C₂³	1	2	yes	—
734	#395	C₂³	1	1	yes	characteristic
735	#395	C₂³	1	2	yes	—
736	#395	C₂³	1	1	yes	characteristic
737	#395	C₂³	1	2	yes	—
738	#395	C₂³	1	2	yes	—
739	#395	C₂³	1	1	yes	characteristic
740	#395	C₂³	1	1	yes	characteristic
741	#395	C₂³	1	2	yes	—
742	#395	C₂³	1	2	yes	—
743	#395	C₂³	1	1	yes	characteristic
744	#395	C₂³	1	1	yes	characteristic
745	#395	C₂³	1	1	yes	characteristic
746	#395	C₂³	1	2	yes	—
747	#395	C₂³	1	2	yes	—
748	#395	C₂³	1	2	yes	—
749	#395	C₂³	1	2	yes	—
750	#395	C₂³	1	2	yes	—
751	#395	C₂³	1	2	yes	—
752	#395	C₂³	1	2	yes	—
753	#393	C₂³	1	2	yes	—
754	#393	C₂³	1	2	yes	—
755	#393	C₂³	1	2	yes	—
756	#393	C₂³	1	2	yes	—
757	#393	C₂³	1	2	yes	—
758	#393	C₂³	1	2	yes	—
759	#393	C₂³	1	2	yes	—
760	#393	C₂³	1	1	yes	characteristic
761	#393	C₂³	1	2	yes	—
762	#393	C₂³	1	2	yes	—
763	#393	C₂³	1	2	yes	—
764	#393	C₂³	1	2	yes	—
765	#393	C₂³	1	2	yes	—
766	#393	C₂³	1	1	yes	characteristic
767	#393	C₂³	1	2	yes	—
768	#393	C₂³	1	2	yes	—
769	#391	C₂³	1	2	yes	—
770	#391	C₂³	1	1	yes	characteristic
771	#391	C₂³	1	1	yes	characteristic
772	#391	C₂³	1	1	yes	characteristic
773	#391	C₂³	1	2	yes	—
774	#391	C₂³	1	1	yes	characteristic
775	#391	C₂³	1	1	yes	characteristic
776	#391	C₂³	1	1	yes	characteristic
777	#391	C₂³	1	1	yes	characteristic
778	#391	C₂³	1	1	yes	characteristic
779	#391	C₂³	1	1	yes	characteristic
780	#391	C₂³	1	1	yes	characteristic
781	#391	C₂³	1	2	yes	—
782	#391	C₂³	1	2	yes	—
783	#391	C₂³	1	2	yes	—
784	#391	C₂³	1	2	yes	—
785	#391	C₂³	1	2	yes	—
786	#391	C₂³	1	1	yes	characteristic
787	#391	C₂³	1	2	yes	—
788	#391	C₂³	1	2	yes	—
789	#391	C₂³	1	2	yes	—
790	#391	C₂³	1	2	yes	—
791	#391	C₂³	1	2	yes	—
792	#391	C₂³	1	2	yes	—
793	#391	C₂³	1	2	yes	—
794	#391	C₂³	1	2	yes	—
795	#391	C₂³	1	2	yes	—
796	#391	C₂³	1	2	yes	—
797	#391	C₂³	1	2	yes	—
798	#391	C₂³	1	2	yes	—
799	#391	C₂³	1	2	yes	—
800	#391	C₂³	1	2	yes	—
801	#391	C₂³	1	2	yes	—
802	#391	C₂³	1	2	yes	—
803	#391	C₂³	1	2	yes	—
804	#391	C₂³	1	1	yes	characteristic
805	#391	C₂³	1	2	yes	—
806	#391	C₂³	1	2	yes	—
807	#391	C₂³	1	2	yes	—
808	#391	C₂³	1	2	yes	—
809	#391	C₂³	1	2	yes	—
810	#391	C₂³	1	2	yes	—
811	#391	C₂³	1	2	yes	—
812	#391	C₂³	1	2	yes	—
813	#391	C₂³	1	2	yes	—
814	#391	C₂³	1	2	yes	—
815	#391	C₂³	1	2	yes	—
816	#391	C₂³	1	2	yes	—
817	#391	C₂³	1	2	yes	—
818	#391	C₂³	1	1	yes	characteristic
819	#391	C₂³	1	1	yes	characteristic
820	#390	C₂³	1	1	yes	characteristic
821	#390	C₂³	1	1	yes	characteristic
822	#390	C₂³	1	1	yes	characteristic
823	#390	C₂³	1	1	yes	characteristic
824	#390	C₂³	1	1	yes	characteristic
825	#390	C₂³	1	1	yes	characteristic
826	#390	C₂³	1	2	yes	—
827	#390	C₂³	1	1	yes	characteristic
828	#390	C₂³	1	2	yes	—
829	#390	C₂³	1	2	yes	—
830	#390	C₂³	1	1	yes	characteristic
831	#390	C₂³	1	2	yes	—
832	#389	C₂³	1	1	yes	characteristic
833	#389	C₂³	1	1	yes	characteristic
834	#389	C₂³	1	1	yes	characteristic
835	#389	C₂³	1	1	yes	characteristic
836	#389	C₂³	1	1	yes	characteristic
837	#389	C₂³	1	1	yes	characteristic
838	#389	C₂³	1	1	yes	characteristic
839	#389	C₂³	1	1	yes	characteristic
840	#389	C₂³	1	2	yes	—
841	#389	C₂³	1	2	yes	—
842	#389	C₂³	1	1	yes	characteristic
843	#389	C₂³	1	1	yes	characteristic
844	#389	C₂³	1	1	yes	characteristic
845	#389	C₂³	1	2	yes	—
846	#389	C₂³	1	1	yes	characteristic
847	#389	C₂³	1	1	yes	characteristic
848	#389	C₂³	1	1	yes	characteristic
849	#389	C₂³	1	1	yes	characteristic
850	#389	C₂³	1	1	yes	characteristic
851	#389	C₂³	1	2	yes	—
852	#389	C₂³	1	2	yes	—
853	#389	C₂³	1	2	yes	—
854	#389	C₂³	1	2	yes	—
855	#389	C₂³	1	1	yes	characteristic
856	#389	C₂³	1	1	yes	characteristic
857	#389	C₂³	1	1	yes	characteristic
858	#389	C₂³	1	1	yes	characteristic
859	#389	C₂³	1	1	yes	characteristic
860	#389	C₂³	1	1	yes	characteristic
861	#389	C₂³	1	2	yes	—
862	#389	C₂³	1	1	yes	characteristic
863	#389	C₂³	1	1	yes	characteristic
864	#389	C₂³	1	1	yes	characteristic
865	#389	C₂³	1	2	yes	—
866	#389	C₂³	1	2	yes	—
867	#389	C₂³	1	2	yes	—
868	#389	C₂³	1	1	yes	characteristic
869	#389	C₂³	1	1	yes	characteristic
870	#389	C₂³	1	1	yes	characteristic
871	#389	C₂³	1	2	yes	—
872	#389	C₂³	1	2	yes	—
873	#389	C₂³	1	2	yes	—
874	#389	C₂³	1	2	yes	—
875	#389	C₂³	1	1	yes	characteristic
876	#389	C₂³	1	2	yes	—
877	#389	C₂³	1	1	yes	characteristic
878	#389	C₂³	1	1	yes	characteristic
879	#389	C₂³	1	2	yes	—
880	#389	C₂³	1	1	yes	characteristic
881	#389	C₂³	1	2	yes	—
882	#389	C₂³	1	2	yes	—
883	#389	C₂³	1	2	yes	—
884	#389	C₂³	1	2	yes	—
885	#389	C₂³	1	2	yes	—
886	#389	C₂³	1	2	yes	—
887	#389	C₂³	1	2	yes	—
888	#389	C₂³	1	2	yes	—
889	#389	C₂³	1	2	yes	—
890	#389	C₂³	1	2	yes	—
891	#389	C₂³	1	2	yes	—
892	#389	C₂³	1	2	yes	—
893	#389	C₂³	1	2	yes	—
894	#389	C₂³	1	2	yes	—
895	#389	C₂³	1	2	yes	—
896	#389	C₂³	1	2	yes	—
897	#389	C₂³	1	2	yes	—
898	#389	C₂³	1	2	yes	—
899	#389	C₂³	1	2	yes	—
900	#389	C₂³	1	2	yes	—
901	#389	C₂³	1	2	yes	—
902	#389	C₂³	1	2	yes	—
903	#389	C₂³	1	2	yes	—
904	#389	C₂³	1	2	yes	—
905	#389	C₂³	1	2	yes	—
906	#389	C₂³	1	2	yes	—
907	#389	C₂³	1	2	yes	—
908	#389	C₂³	1	2	yes	—
909	#389	C₂³	1	1	yes	characteristic
910	#389	C₂³	1	1	yes	characteristic
911	#389	C₂³	1	2	yes	—
912	#389	C₂³	1	1	yes	characteristic
913	#389	C₂³	1	1	yes	characteristic
914	#389	C₂³	1	1	yes	characteristic
915	#389	C₂³	1	2	yes	—
916	#389	C₂³	1	1	yes	characteristic
917	#389	C₂³	1	2	yes	—
918	#389	C₂³	1	1	yes	characteristic
919	#389	C₂³	1	1	yes	characteristic
920	#389	C₂³	1	2	yes	—
921	#389	C₂³	1	1	yes	characteristic
922	#389	C₂³	1	1	yes	characteristic
923	#389	C₂³	1	1	yes	characteristic
924	#389	C₂³	1	1	yes	characteristic
925	#389	C₂³	1	2	yes	—
926	#389	C₂³	1	1	yes	characteristic
927	#389	C₂³	1	1	yes	characteristic
928	#389	C₂³	1	2	yes	—
929	#389	C₂³	1	2	yes	—
930	#389	C₂³	1	1	yes	characteristic
931	#389	C₂³	1	1	yes	characteristic
932	#389	C₂³	1	1	yes	characteristic
933	#389	C₂³	1	1	yes	characteristic
934	#389	C₂³	1	2	yes	—
935	#388	C₂³	1	2	yes	—
936	#388	C₂³	1	2	yes	—
937	#388	C₂³	1	2	yes	—
938	#388	C₂³	1	2	yes	—
939	#388	C₂³	1	2	yes	—
940	#388	C₂³	1	2	yes	—
941	#388	C₂³	1	2	yes	—
942	#388	C₂³	1	2	yes	—
943	#388	C₂³	1	1	yes	characteristic
944	#388	C₂³	1	2	yes	—
945	#388	C₂³	1	2	yes	—
946	#388	C₂³	1	2	yes	—
947	#388	C₂³	1	2	yes	—
948	#388	C₂³	1	2	yes	—
949	#388	C₂³	1	2	yes	—
950	#388	C₂³	1	1	yes	characteristic
951	#388	C₂³	1	2	yes	—
952	#388	C₂³	1	2	yes	—
953	#388	C₂³	1	2	yes	—
954	#388	C₂³	1	2	yes	—
955	#388	C₂³	1	2	yes	—
956	#388	C₂³	1	1	yes	characteristic
957	#388	C₂³	1	1	yes	characteristic
958	#388	C₂³	1	1	yes	characteristic
959	#388	C₂³	1	1	yes	characteristic
960	#388	C₂³	1	2	yes	—
961	#388	C₂³	1	1	yes	characteristic
962	#388	C₂³	1	1	yes	characteristic
963	#387	C₂³	1	1	yes	characteristic
964	#387	C₂³	1	1	yes	characteristic
965	#387	C₂³	1	1	yes	characteristic
966	#387	C₂³	1	1	yes	characteristic
967	#387	C₂³	1	1	yes	characteristic
968	#387	C₂³	1	1	yes	characteristic
969	#387	C₂³	1	1	yes	characteristic
970	#387	C₂³	1	1	yes	characteristic
971	#387	C₂³	1	2	yes	—
972	#387	C₂³	1	2	yes	—
973	#387	C₂³	1	1	yes	characteristic
974	#387	C₂³	1	2	yes	—
975	#387	C₂³	1	2	yes	—
976	#387	C₂³	1	2	yes	—
977	#387	C₂³	1	2	yes	—
978	#387	C₂³	1	2	yes	—
979	#387	C₂³	1	2	yes	—
980	#387	C₂³	1	2	yes	—
981	#387	C₂³	1	2	yes	—
982	#387	C₂³	1	2	yes	—
983	#387	C₂³	1	2	yes	—
984	#387	C₂³	1	2	yes	—
985	#387	C₂³	1	2	yes	—
986	#387	C₂³	1	2	yes	—
987	#387	C₂³	1	2	yes	—
988	#387	C₂³	1	2	yes	—
989	#387	C₂³	1	2	yes	—
990	#387	C₂³	1	2	yes	—
991	#387	C₂³	1	2	yes	—
992	#387	C₂³	1	2	yes	—
993	#387	C₂³	1	2	yes	—
994	#387	C₂³	1	2	yes	—
995	#387	C₂³	1	1	yes	characteristic
996	#387	C₂³	1	2	yes	—
997	#387	C₂³	1	2	yes	—
998	#387	C₂³	1	2	yes	—
999	#387	C₂³	1	2	yes	—
1000	#387	C₂³	1	2	yes	—
1001	#387	C₂³	1	2	yes	—
1002	#387	C₂³	1	2	yes	—
1003	#387	C₂³	1	2	yes	—
1004	#387	C₂³	1	2	yes	—
1005	#387	C₂³	1	2	yes	—
1006	#387	C₂³	1	2	yes	—
1007	#387	C₂³	1	2	yes	—
1008	#387	C₂³	1	2	yes	—
1009	#387	C₂³	1	2	yes	—
1010	#387	C₂³	1	2	yes	—
1011	#387	C₂³	1	2	yes	—
1012	#387	C₂³	1	2	yes	—
1013	#387	C₂³	1	2	yes	—
1014	#387	C₂³	1	2	yes	—
1015	#387	C₂³	1	2	yes	—
1016	#387	C₂³	1	2	yes	—
1017	#387	C₂³	1	2	yes	—
1018	#387	C₂³	1	2	yes	—
1019	#387	C₂³	1	2	yes	—
1020	#387	C₂³	1	2	yes	—
1021	#387	C₂³	1	2	yes	—
1022	#387	C₂³	1	2	yes	—
1023	#387	C₂³	1	2	yes	—
1024	#387	C₂³	1	2	yes	—
1025	#387	C₂³	1	2	yes	—
1026	#387	C₂³	1	2	yes	—
1027	#387	C₂³	1	2	yes	—
1028	#387	C₂³	1	2	yes	—
1029	#387	C₂³	1	2	yes	—
1030	#387	C₂³	1	1	yes	characteristic
1031	#387	C₂³	1	1	yes	characteristic
1032	#387	C₂³	1	2	yes	—
1033	#387	C₂³	1	2	yes	—
1034	#387	C₂³	1	2	yes	—
1035	#387	C₂³	1	2	yes	—
1036	#387	C₂³	1	2	yes	—
1037	#387	C₂³	1	2	yes	—
1038	#387	C₂³	1	2	yes	—
1039	#387	C₂³	1	1	yes	characteristic
1040	#387	C₂³	1	2	yes	—
1041	#387	C₂³	1	2	yes	—
1042	#387	C₂³	1	2	yes	—
1043	#387	C₂³	1	2	yes	—
1044	#387	C₂³	1	2	yes	—
1045	#387	C₂³	1	2	yes	—
1046	#387	C₂³	1	2	yes	—
1047	#387	C₂³	1	2	yes	—
1048	#387	C₂³	1	2	yes	—
1049	#387	C₂³	1	2	yes	—
1050	#387	C₂³	1	2	yes	—
1051	#387	C₂³	1	2	yes	—
1052	#387	C₂³	1	2	yes	—
1053	#387	C₂³	1	2	yes	—
1054	#387	C₂³	1	2	yes	—
1055	#387	C₂³	1	2	yes	—
1056	#387	C₂³	1	2	yes	—
1057	#387	C₂³	1	2	yes	—
1058	#387	C₂³	1	2	yes	—
1059	#387	C₂³	1	2	yes	—
1060	#387	C₂³	1	2	yes	—
1061	#387	C₂³	1	2	yes	—
1062	#387	C₂³	1	2	yes	—
1063	#387	C₂³	1	2	yes	—
1064	#387	C₂³	1	1	yes	characteristic
1065	#387	C₂³	1	1	yes	characteristic
1066	#387	C₂³	1	2	yes	—
1067	#387	C₂³	1	2	yes	—
1068	#387	C₂³	1	1	yes	characteristic
1069	#387	C₂³	1	2	yes	—
1070	#387	C₂³	1	1	yes	characteristic
1071	#387	C₂³	1	2	yes	—
1072	#387	C₂³	1	2	yes	—
1073	#387	C₂³	1	1	yes	characteristic
1074	#387	C₂³	1	2	yes	—
1075	#387	C₂³	1	1	yes	characteristic
1076	#387	C₂³	1	1	yes	characteristic
1077	#386	C₂³	1	2	yes	—
1078	#386	C₂³	1	2	yes	—
1079	#386	C₂³	1	2	yes	—
1080	#386	C₂³	1	2	yes	—
1081	#386	C₂³	1	2	yes	—
1082	#386	C₂³	1	2	yes	—
1083	#386	C₂³	1	2	yes	—
1084	#386	C₂³	1	2	yes	—
1085	#385	C₂³	1	2	yes	—
1086	#385	C₂³	1	2	yes	—
1087	#385	C₂³	1	2	yes	—
1088	#385	C₂³	1	2	yes	—
1089	#385	C₂³	1	2	yes	—
1090	#385	C₂³	1	2	yes	—
1091	#385	C₂³	1	1	yes	characteristic
1092	#385	C₂³	1	1	yes	characteristic
1093	#385	C₂³	1	2	yes	—
1094	#385	C₂³	1	2	yes	—
1095	#385	C₂³	1	2	yes	—
1096	#385	C₂³	1	2	yes	—
1097	#385	C₂³	1	2	yes	—
1098	#385	C₂³	1	2	yes	—
1099	#385	C₂³	1	2	yes	—
1100	#385	C₂³	1	1	yes	characteristic
1101	#385	C₂³	1	1	yes	characteristic
1102	#385	C₂³	1	2	yes	—
1103	#385	C₂³	1	2	yes	—
1104	#385	C₂³	1	2	yes	—
1105	#385	C₂³	1	2	yes	—
1106	#385	C₂³	1	2	yes	—
1107	#385	C₂³	1	2	yes	—
1108	#385	C₂³	1	2	yes	—
1109	#385	C₂³	1	2	yes	—
1110	#385	C₂³	1	2	yes	—
1111	#385	C₂³	1	2	yes	—
1112	#385	C₂³	1	2	yes	—
1113	#385	C₂³	1	2	yes	—
1114	#385	C₂³	1	2	yes	—
1115	#385	C₂³	1	1	yes	characteristic
1116	#385	C₂³	1	1	yes	characteristic
1117	#385	C₂³	1	1	yes	characteristic
1118	#385	C₂³	1	1	yes	characteristic
1119	#384	C₂³	1	1	yes	characteristic
1120	#384	C₂³	1	2	yes	—
1121	#384	C₂³	1	1	yes	characteristic
1122	#384	C₂³	1	1	yes	characteristic
1123	#384	C₂³	1	1	yes	characteristic
1124	#384	C₂³	1	1	yes	characteristic
1125	#384	C₂³	1	1	yes	characteristic
1126	#384	C₂³	1	1	yes	characteristic
1127	#384	C₂³	1	1	yes	characteristic
1128	#384	C₂³	1	2	yes	—
1129	#384	C₂³	1	2	yes	—
1130	#384	C₂³	1	1	yes	characteristic
1131	#384	C₂³	1	1	yes	characteristic
1132	#384	C₂³	1	1	yes	characteristic
1133	#384	C₂³	1	1	yes	characteristic
1134	#384	C₂³	1	2	yes	—
1135	#383	C₂³	1	2	yes	—
1136	#383	C₂³	1	2	yes	—
1137	#383	C₂³	1	2	yes	—
1138	#383	C₂³	1	2	yes	—
1139	#382	C₂³	1	1	yes	characteristic
1140	#382	C₂³	1	1	yes	characteristic
1141	#382	C₂³	1	1	yes	characteristic
1142	#382	C₂³	1	1	yes	characteristic
1143	#382	C₂³	1	1	yes	characteristic
1144	#382	C₂³	1	1	yes	characteristic
1145	#382	C₂³	1	1	yes	characteristic
1146	#382	C₂³	1	1	yes	characteristic
1147	#382	C₂³	1	1	yes	characteristic
1148	#382	C₂³	1	1	yes	characteristic
1149	#382	C₂³	1	2	yes	—
1150	#382	C₂³	1	2	yes	—
1151	#382	C₂³	1	1	yes	characteristic
1152	#382	C₂³	1	1	yes	characteristic
1153	#382	C₂³	1	2	yes	—
1154	#382	C₂³	1	2	yes	—
1155	#382	C₂³	1	2	yes	—
1156	#382	C₂³	1	2	yes	—
1157	#382	C₂³	1	2	yes	—
1158	#382	C₂³	1	2	yes	—
1159	#382	C₂³	1	2	yes	—
1160	#381	C₂³	1	2	yes	—
1161	#381	C₂³	1	2	yes	—
1162	#381	C₂³	1	2	yes	—
1163	#381	C₂³	1	2	yes	—
1164	#381	C₂³	1	2	yes	—
1165	#381	C₂³	1	2	yes	—
1166	#381	C₂³	1	2	yes	—
1167	#381	C₂³	1	2	yes	—
1168	#380	C₂³	1	2	yes	—
1169	#380	C₂³	1	2	yes	—
1170	#380	C₂³	1	2	yes	—
1171	#380	C₂³	1	2	yes	—
1172	#380	C₂³	1	2	yes	—
1173	#380	C₂³	1	2	yes	—
1174	#380	C₂³	1	2	yes	—
1175	#380	C₂³	1	2	yes	—
1176	#380	C₂³	1	2	yes	—
1177	#380	C₂³	1	2	yes	—
1178	#380	C₂³	1	2	yes	—
1179	#380	C₂³	1	2	yes	—
1180	#380	C₂³	1	2	yes	—
1181	#380	C₂³	1	2	yes	—
1182	#380	C₂³	1	2	yes	—
1183	#380	C₂³	1	2	yes	—
1184	#380	C₂³	1	1	yes	characteristic
1185	#380	C₂³	1	1	yes	characteristic
1186	#380	C₂³	1	1	yes	characteristic
1187	#380	C₂³	1	1	yes	characteristic
1188	#380	C₂³	1	2	yes	—
1189	#380	C₂³	1	2	yes	—
1190	#380	C₂³	1	2	yes	—
1191	#380	C₂³	1	2	yes	—
1192	#380	C₂³	1	1	yes	characteristic
1193	#380	C₂³	1	2	yes	—
1194	#380	C₂³	1	2	yes	—
1195	#380	C₂³	1	1	yes	characteristic
1196	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1197	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1198	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1199	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1200	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1201	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1202	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1203	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1204	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1205	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1206	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1207	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1208	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1209	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1210	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1211	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1212	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1213	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1214	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1215	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1216	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1217	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1218	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1219	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1220	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1221	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1222	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1223	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1224	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1225	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1226	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1227	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1228	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1229	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1230	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1231	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1232	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1233	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1234	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1235	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1236	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1237	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1238	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1239	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1240	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1241	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1242	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1243	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1244	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1245	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1246	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1247	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1248	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1249	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1250	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1251	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1252	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1253	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1254	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1255	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1256	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1257	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1258	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1259	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1260	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1261	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
1262	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
1263	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
1264	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
1265	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
1266	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
1267	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
1268	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
1269	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
1270	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
1271	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
1272	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
1273	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
1274	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
1275	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
1276	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
1277	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
1278	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
1279	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
1280	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
1281	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
1282	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
1283	#376	C₂³	1	2	yes	—
1284	#376	C₂³	1	1	yes	characteristic
1285	#376	C₂³	1	1	yes	characteristic
1286	#376	C₂³	1	2	yes	—
1287	#376	C₂³	1	2	yes	—
1288	#376	C₂³	1	2	yes	—
1289	#376	C₂³	1	2	yes	—
1290	C₂×#95	C₂³	1	2	yes	—
1291	C₂×#95	C₂³	1	2	yes	—
1292	C₂×#95	C₂³	1	2	yes	—
1293	C₂×#95	C₂³	1	2	yes	—
1294	C₂×#95	C₂³	1	2	yes	—
1295	C₄³	C₂³	1	1	yes	characteristic
1296	C₄³	C₂³	1	1	yes	characteristic
1297	C₄³	C₂³	1	2	yes	—
1298	C₂×#41	—	4	2	no	—
1299	C₂×#41	—	4	2	no	—
1300	C₂×#41	C₂×Q₈	1	8	yes	—
1301	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
1302	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
1303	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
1304	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
1305	C₂²×Q₈	C₂⁴	1	2	yes	—
1306	C₂²×Q₈	C₂⁴	1	2	yes	—
1307	C₂²×Q₈	C₂⁴	1	2	yes	—
1308	C₂²×Q₈	C₂⁴	1	2	yes	—
1309	C₂²×Q₈	C₂⁴	1	2	yes	—
1310	C₂²×Q₈	C₂⁴	1	2	yes	—
1311	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
1312	C₂²×Q₈	C₂⁴	1	2	yes	—
1313	C₂²×Q₈	C₂⁴	1	2	yes	—
1314	C₂²×D₄	C₂⁴	1	1	yes	characteristic
1315	C₂²×D₄	C₂⁴	1	2	yes	—
1316	C₂³×C₄	C₂⁴	1	1	yes	characteristic
1317	C₂³×C₄	C₂⁴	1	1	yes	characteristic
1318	C₂³×C₄	C₂⁴	1	2	yes	—
1319	C₂³×C₄	C₂⁴	1	2	yes	—
1320	C₂³×C₄	C₂⁴	1	2	yes	—
1321	C₂³×C₄	C₂⁴	1	2	yes	—
1322	C₂³×C₄	C₂⁴	1	2	yes	—
1323	C₂³×C₄	C₂⁴	1	1	yes	characteristic
1324	C₂³×C₄	C₂⁴	1	2	yes	—
1325	C₂³×C₄	C₂⁴	1	2	yes	—
1326	C₂³×C₄	C₂⁴	1	2	yes	—
1327	C₂³×C₄	C₂⁴	1	2	yes	—
1328	C₄⋊Q₈	—	2	4	no	—
1329	C₄⋊Q₈	—	4	2	no	—
1330	C₄⋊Q₈	—	4	2	no	—
1331	C₄⋊Q₈	—	4	2	no	—
1332	C₄⋊Q₈	—	4	2	no	—
1333	C₄⋊Q₈	—	4	2	no	—
1334	C₄⋊Q₈	—	4	2	no	—
1335	C₄⋊Q₈	—	4	2	no	—
1336	C₄⋊Q₈	—	4	2	no	—
1337	C₄⋊Q₈	—	4	4	no	—
1338	C₄⋊Q₈	—	4	4	no	—
1339	C₄⋊Q₈	—	4	4	no	—
1340	C₄⋊Q₈	—	4	2	no	—
1341	C₄⋊Q₈	—	4	4	no	—
1342	C₄⋊Q₈	—	4	4	no	—
1343	C₄⋊Q₈	—	4	4	no	—
1344	C₄⋊Q₈	—	4	4	no	—
1345	C₄⋊Q₈	—	4	4	no	—
1346	C₄⋊Q₈	—	4	4	no	—
1347	#125	—	2	4	no	—
1348	#125	—	2	8	no	—
1349	#125	—	4	2	no	—
1350	#125	—	4	2	no	—
1351	#125	—	4	2	no	—
1352	#125	—	4	2	no	—
1353	#125	—	4	4	no	—
1354	#125	—	4	4	no	—
1355	#125	—	4	4	no	—
1356	#125	—	4	2	no	—
1357	#125	—	4	4	no	—
1358	#125	—	4	4	no	—
1359	C₂²⋊Q₈	—	2	4	no	—
1360	C₂²⋊Q₈	—	2	8	no	—
1361	C₂²⋊Q₈	—	4	4	no	—
1362	C₂²⋊Q₈	—	4	4	no	—
1363	C₂²⋊Q₈	—	4	4	no	—
1364	C₂²⋊Q₈	—	4	4	no	—
1365	C₂²⋊Q₈	—	4	4	no	—
1366	C₂²⋊Q₈	—	4	4	no	—
1367	C₂²⋊Q₈	—	4	4	no	—
1368	C₂²⋊Q₈	—	4	4	no	—
1369	C₂²⋊Q₈	—	4	4	no	—
1370	C₂²⋊Q₈	—	4	2	no	—
1371	C₂²⋊Q₈	—	4	4	no	—
1372	C₂²⋊Q₈	—	4	4	no	—
1373	C₂²⋊Q₈	—	4	4	no	—
1374	C₂²⋊Q₈	—	4	4	no	—
1375	C₄×Q₈	—	2	8	no	—
1376	C₄×Q₈	—	4	2	no	—
1377	C₄×Q₈	—	4	2	no	—
1378	C₄×Q₈	—	4	2	no	—
1379	C₄×Q₈	—	4	2	no	—
1380	C₄×Q₈	—	4	4	no	—
1381	C₄×Q₈	—	4	4	no	—
1382	C₄×Q₈	—	4	4	no	—
1383	C₄×Q₈	—	4	4	no	—
1384	C₄×Q₈	—	4	2	no	—
1385	C₄×Q₈	—	4	2	no	—
1386	C₄×Q₈	—	4	2	no	—
1387	C₄×Q₈	—	4	2	no	—
1388	C₄×Q₈	—	4	4	no	—
1389	C₄×Q₈	—	4	4	no	—
1390	C₄×Q₈	C₂×Q₈	1	8	yes	—
1391	C₄×Q₈	C₂×Q₈	1	8	yes	—
1392	C₄×D₄	—	4	2	no	—
1393	C₄×D₄	—	4	2	no	—
1394	C₄×D₄	—	4	2	no	—
1395	C₄×D₄	—	4	2	no	—
1396	C₄×D₄	C₂×Q₈	1	8	yes	—
1397	C₄×D₄	C₂×Q₈	1	8	yes	—
1398	C₄×D₄	C₂×Q₈	1	16	yes	—
1399	C₄×D₄	C₂×Q₈	1	16	yes	—
1400	#117	—	4	2	no	—
1401	#117	—	4	4	no	—
1402	#117	—	4	4	no	—
1403	#117	—	4	4	no	—
1404	#117	—	4	4	no	—
1405	#117	—	4	4	no	—
1406	#117	—	4	4	no	—
1407	#117	—	4	2	no	—
1408	#117	C₂×Q₈	1	8	yes	—
1409	#117	C₂×Q₈	1	16	yes	—
1410	C₂×C₄⋊C₄	—	4	2	no	—
1411	C₂×C₄⋊C₄	—	4	4	no	—
1412	C₂×C₄⋊C₄	C₂×Q₈	1	8	yes	—
1413	C₂×C₄⋊C₄	C₂×Q₈	1	16	yes	—
1414	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1415	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1416	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1417	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1418	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1419	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1420	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1421	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1422	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1423	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1424	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1425	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1426	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1427	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1428	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1429	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1430	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1431	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1432	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1433	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1434	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1435	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1436	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1437	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1438	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1439	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1440	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1441	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1442	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1443	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1444	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1445	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1446	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1447	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1448	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1449	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1450	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1451	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1452	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1453	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1454	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1455	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1456	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1457	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1458	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1459	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1460	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1461	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1462	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1463	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1464	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1465	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1466	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1467	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1468	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1469	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1470	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1471	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1472	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1473	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1474	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1475	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1476	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1477	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1478	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1479	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1480	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1481	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1482	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1483	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1484	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1485	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1486	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1487	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1488	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1489	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1490	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1491	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1492	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1493	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1494	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1495	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1496	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1497	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1498	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1499	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1500	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1501	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1502	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1503	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1504	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1505	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1506	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1507	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1508	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1509	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1510	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1511	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1512	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1513	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1514	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1515	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1516	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1517	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1518	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1519	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1520	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1521	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1522	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1523	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1524	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1525	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1526	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1527	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1528	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1529	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1530	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1531	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1532	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1533	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1534	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1535	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1536	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1537	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1538	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1539	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1540	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1541	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1542	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1543	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1544	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1545	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1546	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1547	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1548	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1549	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1550	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1551	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1552	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1553	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1554	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1555	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1556	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1557	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1558	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1559	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1560	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1561	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1562	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1563	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1564	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1565	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1566	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1567	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1568	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1569	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1570	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1571	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1572	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1573	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1574	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1575	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1576	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1577	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1578	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1579	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1580	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1581	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1582	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1583	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1584	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1585	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1586	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1587	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1588	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1589	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1590	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1591	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1592	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1593	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1594	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1595	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1596	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1597	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1598	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1599	C₂×C₄²	—	4	4	no	—
1600	C₂×C₄²	—	4	4	no	—
1601	C₂×C₄²	—	4	2	no	—
1602	C₂×C₄²	C₂⁴	1	2	yes	—
1603	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1604	C₂×C₄²	C₂⁴	1	2	yes	—
1605	C₂×C₄²	C₂⁴	1	2	yes	—
1606	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1607	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1608	C₂×C₄²	C₂⁴	1	2	yes	—
1609	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1610	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1611	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1612	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1613	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1614	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1615	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1616	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1617	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1618	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1619	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1620	C₂×C₄²	C₂⁴	1	2	yes	—
1621	C₂×C₄²	C₂⁴	1	2	yes	—
1622	C₂×C₄²	C₂⁴	1	2	yes	—
1623	C₂×C₄²	C₂⁴	1	2	yes	—
1624	C₂×C₄²	C₂⁴	1	2	yes	—
1625	C₂×C₄²	C₂⁴	1	2	yes	—
1626	C₂×C₄²	C₂⁴	1	2	yes	—
1627	C₂×C₄²	C₂⁴	1	2	yes	—
1628	C₂×C₄²	C₂⁴	1	2	yes	—
1629	C₂×C₄²	C₂⁴	1	2	yes	—
1630	C₂×C₄²	C₂⁴	1	2	yes	—
1631	C₂×C₄²	C₂⁴	1	2	yes	—
1632	C₂×C₄²	C₂⁴	1	2	yes	—
1633	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1634	C₂×C₄²	C₂⁴	1	2	yes	—
1635	C₂×C₄²	C₂⁴	1	2	yes	—
1636	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1637	C₂×C₄²	C₂⁴	1	2	yes	—
1638	C₂×C₄²	C₂⁴	1	2	yes	—
1639	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1640	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1641	C₂×C₄²	C₂⁴	1	2	yes	—
1642	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1643	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1644	C₂×C₄²	C₂⁴	1	2	yes	—
1645	C₂×C₄²	C₂⁴	1	2	yes	—
1646	C₂×C₄²	C₂⁴	1	2	yes	—
1647	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1648	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1649	C₂×C₄²	C₂⁴	1	2	yes	—
1650	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1651	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1652	C₂×C₄²	C₂⁴	1	2	yes	—
1653	#95	C₂⁴	1	1	yes	characteristic
1654	#95	C₂⁴	1	1	yes	characteristic
1655	#95	C₂⁴	1	1	yes	characteristic
1656	#95	C₂⁴	1	1	yes	characteristic
1657	#95	C₂⁴	1	2	yes	—
1658	#95	C₂⁴	1	2	yes	—
1659	#95	C₂⁴	1	2	yes	—
1660	#95	C₂⁴	1	2	yes	—
1661	#95	C₂⁴	1	2	yes	—
1662	#95	C₂⁴	1	2	yes	—
1663	#95	C₂⁴	1	2	yes	—
1664	#95	C₂⁴	1	2	yes	—
1665	#95	C₂⁴	1	2	yes	—
1666	#95	C₂⁴	1	2	yes	—
1667	#95	C₂⁴	1	2	yes	—
1668	#95	C₂⁴	1	2	yes	—
1669	#95	C₂⁴	1	2	yes	—
1670	#95	C₂⁴	1	2	yes	—
1671	#95	C₂⁴	1	2	yes	—
1672	#95	C₂⁴	1	2	yes	—
1673	#95	C₂⁴	1	1	yes	characteristic
1674	#95	C₂⁴	1	2	yes	—
1675	#95	C₂⁴	1	1	yes	characteristic
1676	#95	C₂⁴	1	1	yes	characteristic
1677	#95	C₂⁴	1	1	yes	characteristic
1678	#95	C₂⁴	1	1	yes	characteristic
1679	#95	C₂⁴	1	1	yes	characteristic
1680	#95	C₂⁴	1	1	yes	characteristic
1681	#95	C₂⁴	1	2	yes	—
1682	#95	C₂⁴	1	1	yes	characteristic
1683	#95	C₂⁴	1	2	yes	—
1684	#95	C₂⁴	1	1	yes	characteristic
1685	#95	C₂⁴	1	1	yes	characteristic
1686	#95	C₂⁴	1	2	yes	—
1687	#95	C₂⁴	1	2	yes	—
1688	#95	C₂⁴	1	2	yes	—
1689	#95	C₂⁴	1	2	yes	—
1690	#95	C₂⁴	1	2	yes	—
1691	#95	C₂⁴	1	2	yes	—
1692	#95	C₂⁴	1	2	yes	—
1693	#95	C₂⁴	1	2	yes	—
1694	#95	C₂⁴	1	2	yes	—
1695	#95	C₂⁴	1	1	yes	characteristic
1696	#95	C₂⁴	1	1	yes	characteristic
1697	#95	C₂⁴	1	2	yes	—
1698	#95	C₂⁴	1	2	yes	—
1699	#95	C₂⁴	1	2	yes	—
1700	#95	C₂⁴	1	1	yes	characteristic
1701	#95	C₂⁴	1	1	yes	characteristic
1702	#95	C₂⁴	1	1	yes	characteristic
1703	#95	C₂⁴	1	2	yes	—
1704	#95	C₂⁴	1	2	yes	—
1705	#95	C₂⁴	1	2	yes	—
1706	#95	C₂⁴	1	2	yes	—
1707	#95	C₂⁴	1	2	yes	—
1708	#95	C₂⁴	1	2	yes	—
1709	#95	C₂⁴	1	2	yes	—
1710	#95	C₂⁴	1	2	yes	—
1711	#95	C₂⁴	1	1	yes	characteristic
1712	#95	C₂⁴	1	1	yes	characteristic
1713	#95	C₂⁴	1	2	yes	—
1714	#95	C₂⁴	1	1	yes	characteristic
1715	#95	C₂⁴	1	1	yes	characteristic
1716	#95	C₂⁴	1	2	yes	—
1717	#95	C₂⁴	1	2	yes	—
1718	#95	C₂⁴	1	2	yes	—
1719	#95	C₂⁴	1	2	yes	—
1720	#95	C₂⁴	1	2	yes	—
1721	#95	C₂⁴	1	2	yes	—
1722	#95	C₂⁴	1	2	yes	—
1723	#95	C₂⁴	1	2	yes	—
1724	#95	C₂⁴	1	2	yes	—
1725	#95	C₂⁴	1	2	yes	—
1726	#95	C₂⁴	1	1	yes	characteristic
1727	#95	C₂⁴	1	1	yes	characteristic
1728	#95	C₂⁴	1	1	yes	characteristic
1729	#95	C₂⁴	1	1	yes	characteristic
1730	#95	C₂⁴	1	1	yes	characteristic
1731	#95	C₂⁴	1	1	yes	characteristic
1732	#95	C₂⁴	1	1	yes	characteristic
1733	#95	C₂⁴	1	2	yes	—
1734	#95	C₂⁴	1	2	yes	—
1735	#95	C₂⁴	1	2	yes	—
1736	#95	C₂⁴	1	2	yes	—
1737	#95	C₂⁴	1	2	yes	—
1738	#95	C₂⁴	1	2	yes	—
1739	#95	C₂⁴	1	1	yes	characteristic
1740	#95	C₂⁴	1	1	yes	characteristic
1741	#95	C₂⁴	1	2	yes	—
1742	#95	C₂⁴	1	1	yes	characteristic
1743	#95	C₂⁴	1	1	yes	characteristic
1744	#95	C₂⁴	1	1	yes	characteristic
1745	#95	C₂⁴	1	2	yes	—
1746	#95	C₂⁴	1	2	yes	—
1747	#95	C₂⁴	1	2	yes	—
1748	#95	C₂⁴	1	1	yes	characteristic
1749	#95	C₂⁴	1	1	yes	characteristic
1750	#95	C₂⁴	1	2	yes	—
1751	#95	C₂⁴	1	1	yes	characteristic
1752	#95	C₂⁴	1	1	yes	characteristic
1753	#95	C₂⁴	1	1	yes	characteristic
1754	#95	C₂⁴	1	1	yes	characteristic
1755	#95	C₂⁴	1	1	yes	characteristic
1756	#95	C₂⁴	1	2	yes	—
1757	#95	C₂⁴	1	1	yes	characteristic
1758	#95	C₂⁴	1	2	yes	—
1759	#95	C₂⁴	1	2	yes	—
1760	#95	C₂⁴	1	2	yes	—
1761	#95	C₂⁴	1	2	yes	—
1762	#95	C₂⁴	1	1	yes	characteristic
1763	#95	C₂⁴	1	1	yes	characteristic
1764	#95	C₂⁴	1	1	yes	characteristic
1765	#95	C₂⁴	1	1	yes	characteristic
1766	#95	C₂⁴	1	1	yes	characteristic
1767	#95	C₂⁴	1	1	yes	characteristic
1768	#95	C₂⁴	1	1	yes	characteristic
1769	#95	C₂⁴	1	1	yes	characteristic
1770	#95	C₂⁴	1	1	yes	characteristic
1771	#95	C₂⁴	1	2	yes	—
1772	#95	C₂⁴	1	2	yes	—
1773	#95	C₂⁴	1	2	yes	—
1774	#95	C₂⁴	1	1	yes	characteristic
1775	#95	C₂⁴	1	1	yes	characteristic
1776	#95	C₂⁴	1	2	yes	—
1777	#95	C₂⁴	1	1	yes	characteristic
1778	#95	C₂⁴	1	1	yes	characteristic
1779	#95	C₂⁴	1	2	yes	—
1780	#95	C₂⁴	1	2	yes	—
1781	#95	C₂⁴	1	2	yes	—
1782	#95	C₂⁴	1	2	yes	—
1783	#95	C₂⁴	1	2	yes	—
1784	#95	C₂⁴	1	2	yes	—
1785	#95	C₂⁴	1	2	yes	—
1786	#95	C₂⁴	1	2	yes	—
1787	#95	C₂⁴	1	2	yes	—
1788	#95	C₂⁴	1	2	yes	—
1789	#95	C₂⁴	1	2	yes	—
1790	#95	C₂⁴	1	2	yes	—
1791	#95	C₂⁴	1	2	yes	—
1792	#95	C₂⁴	1	2	yes	—
1793	#95	C₂⁴	1	2	yes	—
1794	#95	C₂⁴	1	2	yes	—
1795	#95	C₂⁴	1	2	yes	—
1796	#95	C₂⁴	1	2	yes	—
1797	#95	C₂⁴	1	2	yes	—
1798	#95	C₂⁴	1	2	yes	—
1799	#95	C₂⁴	1	2	yes	—
1800	#95	C₂⁴	1	2	yes	—
1801	C₂⁴	C₂⁵	1	2	yes	—
1802	C₂⁴	C₂⁵	1	1	yes	characteristic
1803	#41	—	4	16	no	—
1804	C₂×Q₈	—	2	2	no	—
1805	C₂×Q₈	—	2	4	no	—
1806	C₂×Q₈	—	2	4	no	—
1807	C₂×Q₈	—	2	2	no	—
1808	C₂×Q₈	—	2	2	no	—
1809	C₂×Q₈	—	2	2	no	—
1810	C₂×Q₈	—	2	2	no	—
1811	C₂×Q₈	—	2	2	no	—
1812	C₂×Q₈	—	2	4	no	—
1813	C₂×Q₈	—	4	1	no	—
1814	C₂×Q₈	—	4	2	no	—
1815	C₂×Q₈	—	4	2	no	—
1816	C₂×Q₈	—	4	2	no	—
1817	C₂×Q₈	—	4	2	no	—
1818	C₂×Q₈	—	4	1	no	—
1819	C₂×Q₈	—	4	1	no	—
1820	C₂×Q₈	—	4	1	no	—
1821	C₂×Q₈	—	4	1	no	—
1822	C₂×Q₈	—	4	2	no	—
1823	C₂×Q₈	—	4	2	no	—
1824	C₂×Q₈	—	4	2	no	—
1825	C₂×Q₈	—	4	2	no	—
1826	C₂×Q₈	—	4	1	no	—
1827	C₂×Q₈	—	4	2	no	—
1828	C₂×Q₈	—	4	2	no	—
1829	C₂×Q₈	—	4	2	no	—
1830	C₂×Q₈	—	4	2	no	—
1831	C₂×Q₈	—	4	2	no	—
1832	C₂×Q₈	—	4	1	no	—
1833	C₂×Q₈	—	4	1	no	—
1834	C₂×Q₈	—	4	2	no	—
1835	C₂×Q₈	—	4	2	no	—
1836	C₂×Q₈	—	4	2	no	—
1837	C₂×Q₈	—	4	2	no	—
1838	C₂×Q₈	—	4	2	no	—
1839	C₂×Q₈	—	4	2	no	—
1840	C₂×Q₈	—	4	2	no	—
1841	C₂×Q₈	—	4	2	no	—
1842	C₂×Q₈	C₂²×Q₈	1	4	yes	—
1843	C₂×D₄	—	2	2	no	—
1844	C₂×D₄	—	2	2	no	—
1845	C₂×D₄	—	4	2	no	—
1846	C₂×D₄	—	4	2	no	—
1847	C₂×D₄	C₂²×Q₈	1	4	yes	—
1848	C₂×D₄	C₂²×Q₈	1	8	yes	—
1849	C₂²×C₄	—	2	2	no	—
1850	C₂²×C₄	—	2	2	no	—
1851	C₂²×C₄	—	2	2	no	—
1852	C₂²×C₄	—	2	2	no	—
1853	C₂²×C₄	—	2	4	no	—
1854	C₂²×C₄	—	4	2	no	—
1855	C₂²×C₄	—	4	2	no	—
1856	C₂²×C₄	—	4	1	no	—
1857	C₂²×C₄	—	4	2	no	—
1858	C₂²×C₄	—	4	2	no	—
1859	C₂²×C₄	—	4	2	no	—
1860	C₂²×C₄	—	4	2	no	—
1861	C₂²×C₄	—	4	2	no	—
1862	C₂²×C₄	—	4	2	no	—
1863	C₂²×C₄	—	4	2	no	—
1864	C₂²×C₄	—	4	2	no	—
1865	C₂²×C₄	—	4	1	no	—
1866	C₂²×C₄	—	4	2	no	—
1867	C₂²×C₄	—	4	2	no	—
1868	C₂²×C₄	—	4	2	no	—
1869	C₂²×C₄	—	4	2	no	—
1870	C₂²×C₄	—	4	2	no	—
1871	C₂²×C₄	—	4	1	no	—
1872	C₂²×C₄	—	4	1	no	—
1873	C₂²×C₄	—	4	2	no	—
1874	C₂²×C₄	—	4	2	no	—
1875	C₂²×C₄	—	4	2	no	—
1876	C₂²×C₄	—	4	2	no	—
1877	C₂²×C₄	—	4	2	no	—
1878	C₂²×C₄	—	4	2	no	—
1879	C₂²×C₄	—	4	2	no	—
1880	C₂²×C₄	C₂²×Q₈	1	4	yes	—
1881	C₂²×C₄	C₂²×Q₈	1	8	yes	—
1882	C₂²×C₄	C₂²×Q₈	1	8	yes	—
1883	C₂²×C₄	C₂²×Q₈	1	8	yes	—
1884	C₂²×C₄	C₂²×Q₈	1	8	yes	—
1885	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1886	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1887	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1888	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1889	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1890	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1891	C₂²×C₄	C₂⁵	1	2	yes	—
1892	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1893	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1894	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1895	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1896	C₂²×C₄	C₂⁵	1	2	yes	—
1897	C₂²×C₄	C₂⁵	1	2	yes	—
1898	C₂²×C₄	C₂⁵	1	2	yes	—
1899	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1900	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1901	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1902	C₂²×C₄	C₂⁵	1	2	yes	—
1903	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1904	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1905	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1906	C₂²×C₄	C₂⁵	1	2	yes	—
1907	C₂²×C₄	C₂⁵	1	2	yes	—
1908	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1909	C₂²×C₄	C₂⁵	1	2	yes	—
1910	C₂²×C₄	C₂⁵	1	2	yes	—
1911	C₂²×C₄	C₂⁵	1	2	yes	—
1912	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1913	C₂²×C₄	C₂⁵	1	2	yes	—
1914	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1915	C₂²×C₄	C₂⁵	1	2	yes	—
1916	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1917	C₂²×C₄	C₂⁵	1	2	yes	—
1918	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1919	C₂²×C₄	C₂⁵	1	2	yes	—
1920	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1921	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1922	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1923	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1924	C₂²×C₄	C₂⁵	1	2	yes	—
1925	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1926	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1927	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1928	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1929	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1930	C₄⋊C₄	—	2	2	no	—
1931	C₄⋊C₄	—	2	4	no	—
1932	C₄⋊C₄	—	2	4	no	—
1933	C₄⋊C₄	—	2	2	no	—
1934	C₄⋊C₄	—	2	2	no	—
1935	C₄⋊C₄	—	2	2	no	—
1936	C₄⋊C₄	—	2	4	no	—
1937	C₄⋊C₄	—	2	4	no	—
1938	C₄⋊C₄	—	2	2	no	—
1939	C₄⋊C₄	—	2	2	no	—
1940	C₄⋊C₄	—	2	2	no	—
1941	C₄⋊C₄	—	2	2	no	—
1942	C₄⋊C₄	—	2	2	no	—
1943	C₄⋊C₄	—	2	4	no	—
1944	C₄⋊C₄	—	2	4	no	—
1945	C₄⋊C₄	—	2	4	no	—
1946	C₄⋊C₄	—	2	4	no	—
1947	C₄⋊C₄	—	2	4	no	—
1948	C₄⋊C₄	—	2	2	no	—
1949	C₄⋊C₄	—	2	2	no	—
1950	C₄⋊C₄	—	2	2	no	—
1951	C₄⋊C₄	—	2	2	no	—
1952	C₄⋊C₄	—	2	2	no	—
1953	C₄⋊C₄	—	2	2	no	—
1954	C₄⋊C₄	—	2	2	no	—
1955	C₄⋊C₄	—	2	2	no	—
1956	C₄⋊C₄	—	2	2	no	—
1957	C₄⋊C₄	—	2	2	no	—
1958	C₄⋊C₄	—	2	2	no	—
1959	C₄⋊C₄	—	2	2	no	—
1960	C₄⋊C₄	—	2	2	no	—
1961	C₄⋊C₄	—	2	2	no	—
1962	C₄⋊C₄	—	2	2	no	—
1963	C₄⋊C₄	—	2	4	no	—
1964	C₄⋊C₄	—	2	4	no	—
1965	C₄⋊C₄	—	2	2	no	—
1966	C₄⋊C₄	—	2	2	no	—
1967	C₄⋊C₄	—	2	2	no	—
1968	C₄⋊C₄	—	4	2	no	—
1969	C₄⋊C₄	—	4	2	no	—
1970	C₄⋊C₄	—	4	2	no	—
1971	C₄⋊C₄	—	4	1	no	—
1972	C₄⋊C₄	—	4	1	no	—
1973	C₄⋊C₄	—	4	1	no	—
1974	C₄⋊C₄	—	4	1	no	—
1975	C₄⋊C₄	—	4	2	no	—
1976	C₄⋊C₄	—	4	2	no	—
1977	C₄⋊C₄	—	4	1	no	—
1978	C₄⋊C₄	—	4	1	no	—
1979	C₄⋊C₄	—	4	1	no	—
1980	C₄⋊C₄	—	4	2	no	—
1981	C₄⋊C₄	—	4	1	no	—
1982	C₄⋊C₄	—	4	2	no	—
1983	C₄⋊C₄	—	4	1	no	—
1984	C₄⋊C₄	—	4	1	no	—
1985	C₄⋊C₄	—	4	1	no	—
1986	C₄⋊C₄	—	4	1	no	—
1987	C₄⋊C₄	—	4	2	no	—
1988	C₄⋊C₄	—	4	1	no	—
1989	C₄⋊C₄	—	4	1	no	—
1990	C₄⋊C₄	—	4	1	no	—
1991	C₄⋊C₄	—	4	2	no	—
1992	C₄⋊C₄	—	4	1	no	—
1993	C₄⋊C₄	—	4	2	no	—
1994	C₄⋊C₄	—	4	1	no	—
1995	C₄⋊C₄	—	4	1	no	—
1996	C₄⋊C₄	—	4	2	no	—
1997	C₄⋊C₄	—	4	2	no	—
1998	C₄⋊C₄	—	4	2	no	—
1999	C₄⋊C₄	—	4	1	no	—
2000	C₄⋊C₄	—	4	1	no	—
2001	C₄⋊C₄	—	4	2	no	—
2002	C₄⋊C₄	—	4	2	no	—
2003	C₄⋊C₄	—	4	2	no	—
2004	C₄⋊C₄	—	4	2	no	—
2005	C₄⋊C₄	—	4	2	no	—
2006	C₄⋊C₄	—	4	2	no	—
2007	C₄⋊C₄	—	4	1	no	—
2008	C₄⋊C₄	—	4	1	no	—
2009	C₄⋊C₄	—	4	1	no	—
2010	C₄⋊C₄	—	4	1	no	—
2011	C₄⋊C₄	—	4	2	no	—
2012	C₄⋊C₄	—	4	2	no	—
2013	C₄⋊C₄	—	4	2	no	—
2014	C₄⋊C₄	—	4	2	no	—
2015	C₄⋊C₄	—	4	1	no	—
2016	C₄⋊C₄	—	4	1	no	—
2017	C₄⋊C₄	—	4	1	no	—
2018	C₄⋊C₄	—	4	1	no	—
2019	C₄⋊C₄	—	4	1	no	—
2020	C₄⋊C₄	—	4	1	no	—
2021	C₄⋊C₄	—	4	1	no	—
2022	C₄⋊C₄	—	4	1	no	—
2023	C₄⋊C₄	—	4	2	no	—
2024	C₄⋊C₄	—	4	2	no	—
2025	C₄⋊C₄	—	4	2	no	—
2026	C₄⋊C₄	—	4	2	no	—
2027	C₄⋊C₄	—	4	2	no	—
2028	C₄⋊C₄	—	4	2	no	—
2029	C₄⋊C₄	—	4	2	no	—
2030	C₄⋊C₄	—	4	2	no	—
2031	C₄⋊C₄	—	4	2	no	—
2032	C₄⋊C₄	—	4	2	no	—
2033	C₄⋊C₄	—	4	1	no	—
2034	C₄⋊C₄	—	4	2	no	—
2035	C₄⋊C₄	—	4	2	no	—
2036	C₄⋊C₄	—	4	2	no	—
2037	C₄⋊C₄	—	4	2	no	—
2038	C₄⋊C₄	—	4	2	no	—
2039	C₄⋊C₄	—	4	2	no	—
2040	C₄⋊C₄	—	4	2	no	—
2041	C₄⋊C₄	—	4	2	no	—
2042	C₄⋊C₄	—	4	2	no	—
2043	C₄⋊C₄	—	4	1	no	—
2044	C₄⋊C₄	—	4	2	no	—
2045	C₄⋊C₄	—	4	2	no	—
2046	C₄⋊C₄	—	4	2	no	—
2047	C₄⋊C₄	—	4	2	no	—
2048	C₄⋊C₄	—	4	2	no	—
2049	C₄⋊C₄	—	4	2	no	—
2050	C₄⋊C₄	—	4	2	no	—
2051	C₄⋊C₄	—	4	2	no	—
2052	C₄⋊C₄	—	4	1	no	—
2053	C₄⋊C₄	—	4	1	no	—
2054	C₄⋊C₄	—	4	2	no	—
2055	C₄⋊C₄	—	4	1	no	—
2056	C₄⋊C₄	—	4	2	no	—
2057	C₄⋊C₄	—	4	2	no	—
2058	C₄⋊C₄	—	4	2	no	—
2059	C₄⋊C₄	—	4	2	no	—
2060	C₄⋊C₄	—	4	2	no	—
2061	C₄⋊C₄	—	4	2	no	—
2062	C₄⋊C₄	—	4	2	no	—
2063	C₄⋊C₄	—	4	2	no	—
2064	C₄⋊C₄	—	4	2	no	—
2065	C₄⋊C₄	—	4	2	no	—
2066	C₄⋊C₄	—	4	1	no	—
2067	C₄⋊C₄	—	4	2	no	—
2068	C₄⋊C₄	C₂²×Q₈	1	8	yes	—
2069	C₄⋊C₄	C₂²×Q₈	1	4	yes	—
2070	C₄⋊C₄	C₂²×Q₈	1	8	yes	—
2071	C₄⋊C₄	C₂²×Q₈	1	8	yes	—
2072	C₄⋊C₄	C₂²×Q₈	1	4	yes	—
2073	C₄⋊C₄	C₂²×Q₈	1	4	yes	—
2074	C₄⋊C₄	C₂²×Q₈	1	4	yes	—
2075	C₄⋊C₄	H(5,𝔽₂)	1	4	yes	—
2076	C₂²⋊C₄	—	2	4	no	—
2077	C₂²⋊C₄	—	2	2	no	—
2078	C₂²⋊C₄	—	2	2	no	—
2079	C₂²⋊C₄	—	2	4	no	—
2080	C₂²⋊C₄	—	2	4	no	—
2081	C₂²⋊C₄	—	4	2	no	—
2082	C₂²⋊C₄	—	4	2	no	—
2083	C₂²⋊C₄	—	4	1	no	—
2084	C₂²⋊C₄	—	4	2	no	—
2085	C₂²⋊C₄	—	4	1	no	—
2086	C₂²⋊C₄	—	4	1	no	—
2087	C₂²⋊C₄	—	4	1	no	—
2088	C₂²⋊C₄	—	4	2	no	—
2089	C₂²⋊C₄	—	4	2	no	—
2090	C₂²⋊C₄	—	4	2	no	—
2091	C₂²⋊C₄	—	4	1	no	—
2092	C₂²⋊C₄	—	4	1	no	—
2093	C₂²⋊C₄	—	4	2	no	—
2094	C₂²⋊C₄	—	4	2	no	—
2095	C₂²⋊C₄	—	4	2	no	—
2096	C₂²⋊C₄	—	4	2	no	—
2097	C₂²⋊C₄	—	4	2	no	—
2098	C₂²⋊C₄	—	4	2	no	—
2099	C₂²⋊C₄	—	4	2	no	—
2100	C₂²⋊C₄	—	4	2	no	—
2101	C₂²⋊C₄	—	4	2	no	—
2102	C₂²⋊C₄	—	4	2	no	—
2103	C₂²⋊C₄	—	4	2	no	—
2104	C₂²⋊C₄	—	4	2	no	—
2105	C₂²⋊C₄	—	4	2	no	—
2106	C₂²⋊C₄	—	4	2	no	—
2107	C₂²⋊C₄	—	4	1	no	—
2108	C₂²⋊C₄	—	4	2	no	—
2109	C₂²⋊C₄	—	4	1	no	—
2110	C₂²⋊C₄	—	4	2	no	—
2111	C₂²⋊C₄	C₂²×Q₈	1	8	yes	—
2112	C₂²⋊C₄	C₂²×Q₈	1	4	yes	—
2113	C₂²⋊C₄	C₂²×Q₈	1	4	yes	—
2114	C₂²⋊C₄	C₂²×Q₈	1	8	yes	—
2115	C₄²	—	2	2	no	—
2116	C₄²	—	2	4	no	—
2117	C₄²	—	2	4	no	—
2118	C₄²	—	2	4	no	—
2119	C₄²	—	2	4	no	—
2120	C₄²	—	2	2	no	—
2121	C₄²	—	2	2	no	—
2122	C₄²	—	2	2	no	—
2123	C₄²	—	2	2	no	—
2124	C₄²	—	2	2	no	—
2125	C₄²	—	2	2	no	—
2126	C₄²	—	2	2	no	—
2127	C₄²	—	2	2	no	—
2128	C₄²	—	2	2	no	—
2129	C₄²	—	2	2	no	—
2130	C₄²	—	2	2	no	—
2131	C₄²	—	2	2	no	—
2132	C₄²	—	2	2	no	—
2133	C₄²	—	4	1	no	—
2134	C₄²	—	4	1	no	—
2135	C₄²	—	4	2	no	—
2136	C₄²	—	4	2	no	—
2137	C₄²	—	4	2	no	—
2138	C₄²	—	4	2	no	—
2139	C₄²	—	4	2	no	—
2140	C₄²	—	4	2	no	—
2141	C₄²	—	4	2	no	—
2142	C₄²	—	4	1	no	—
2143	C₄²	—	4	1	no	—
2144	C₄²	—	4	1	no	—
2145	C₄²	—	4	2	no	—
2146	C₄²	—	4	1	no	—
2147	C₄²	—	4	2	no	—
2148	C₄²	—	4	2	no	—
2149	C₄²	—	4	2	no	—
2150	C₄²	—	4	2	no	—
2151	C₄²	—	4	2	no	—
2152	C₄²	—	4	2	no	—
2153	C₄²	—	4	2	no	—
2154	C₄²	—	4	2	no	—
2155	C₄²	—	4	2	no	—
2156	C₄²	—	4	2	no	—
2157	C₄²	—	4	2	no	—
2158	C₄²	—	4	1	no	—
2159	C₄²	—	4	1	no	—
2160	C₄²	—	4	2	no	—
2161	C₄²	—	4	2	no	—
2162	C₄²	C₂²×Q₈	1	8	yes	—
2163	C₄²	C₂²×Q₈	1	8	yes	—
2164	C₄²	C₂²×Q₈	1	4	yes	—
2165	C₄²	C₂²×Q₈	1	4	yes	—
2166	C₂³	—	2	1	no	—
2167	C₂³	—	2	2	no	—
2168	C₂³	—	2	2	no	—
2169	C₂³	—	2	1	no	—
2170	C₂³	—	2	1	no	—
2171	C₂³	—	2	1	no	—
2172	C₂³	—	2	2	no	—
2173	C₂³	—	2	2	no	—
2174	C₂³	—	2	2	no	—
2175	C₂³	—	2	1	no	—
2176	C₂³	—	2	2	no	—
2177	C₂³	—	2	1	no	—
2178	C₂³	C₂³×Q₈	1	2	yes	—
2179	C₂³	C₂³×Q₈	1	4	yes	—
2180	C₂³	C₂⁶	1	1	yes	characteristic
2181	Q₈	—	2	8	no	—
2182	Q₈	—	4	4	no	—
2183	Q₈	—	8	4	no	—
2184	Q₈	—	8	2	no	—
2185	Q₈	—	8	4	no	—
2186	Q₈	—	8	2	no	—
2187	Q₈	—	8	4	no	—
2188	Q₈	—	8	4	no	—
2189	Q₈	—	8	2	no	—
2190	Q₈	—	8	4	no	—
2191	Q₈	—	8	4	no	—
2192	Q₈	—	16	2	no	—
2193	Q₈	—	16	2	no	—
2194	D₄	—	2	8	no	—
2195	D₄	—	4	8	no	—
2196	C₂×C₄	—	2	2	no	—
2197	C₂×C₄	—	2	1	no	—
2198	C₂×C₄	—	2	2	no	—
2199	C₂×C₄	—	2	1	no	—
2200	C₂×C₄	—	2	1	no	—
2201	C₂×C₄	—	2	1	no	—
2202	C₂×C₄	—	2	1	no	—
2203	C₂×C₄	—	2	1	no	—
2204	C₂×C₄	—	2	1	no	—
2205	C₂×C₄	—	2	1	no	—
2206	C₂×C₄	—	2	1	no	—
2207	C₂×C₄	—	2	1	no	—
2208	C₂×C₄	—	2	1	no	—
2209	C₂×C₄	—	2	2	no	—
2210	C₂×C₄	—	2	2	no	—
2211	C₂×C₄	—	2	1	no	—
2212	C₂×C₄	—	2	1	no	—
2213	C₂×C₄	—	2	2	no	—
2214	C₂×C₄	—	2	1	no	—
2215	C₂×C₄	—	2	1	no	—
2216	C₂×C₄	—	2	1	no	—
2217	C₂×C₄	—	2	2	no	—
2218	C₂×C₄	—	2	1	no	—
2219	C₂×C₄	—	2	1	no	—
2220	C₂×C₄	—	2	8	no	—
2221	C₂×C₄	—	2	1	no	—
2222	C₂×C₄	—	2	2	no	—
2223	C₂×C₄	—	2	2	no	—
2224	C₂×C₄	—	2	2	no	—
2225	C₂×C₄	—	2	2	no	—
2226	C₂×C₄	—	2	1	no	—
2227	C₂×C₄	—	2	2	no	—
2228	C₂×C₄	—	2	1	no	—
2229	C₂×C₄	—	2	1	no	—
2230	C₂×C₄	—	2	2	no	—
2231	C₂×C₄	—	2	2	no	—
2232	C₂×C₄	—	2	1	no	—
2233	C₂×C₄	—	2	1	no	—
2234	C₂×C₄	—	2	1	no	—
2235	C₂×C₄	—	2	2	no	—
2236	C₂×C₄	—	2	2	no	—
2237	C₂×C₄	—	2	1	no	—
2238	C₂×C₄	—	2	1	no	—
2239	C₂×C₄	—	2	1	no	—
2240	C₂×C₄	—	2	1	no	—
2241	C₂×C₄	—	2	1	no	—
2242	C₂×C₄	—	2	1	no	—
2243	C₂×C₄	—	2	1	no	—
2244	C₂×C₄	—	2	1	no	—
2245	C₂×C₄	—	2	1	no	—
2246	C₂×C₄	—	2	1	no	—
2247	C₂×C₄	—	2	1	no	—
2248	C₂×C₄	—	2	1	no	—
2249	C₂×C₄	—	2	1	no	—
2250	C₂×C₄	—	2	1	no	—
2251	C₂×C₄	—	2	1	no	—
2252	C₂×C₄	—	2	1	no	—
2253	C₂×C₄	—	2	1	no	—
2254	C₂×C₄	—	2	1	no	—
2255	C₂×C₄	—	2	1	no	—
2256	C₂×C₄	—	2	1	no	—
2257	C₂×C₄	—	2	1	no	—
2258	C₂×C₄	—	2	2	no	—
2259	C₂×C₄	—	2	1	no	—
2260	C₂×C₄	—	2	1	no	—
2261	C₂×C₄	—	2	2	no	—
2262	C₂×C₄	—	2	2	no	—
2263	C₂×C₄	—	2	2	no	—
2264	C₂×C₄	—	2	1	no	—
2265	C₂×C₄	—	2	2	no	—
2266	C₂×C₄	—	2	2	no	—
2267	C₂×C₄	—	2	2	no	—
2268	C₂×C₄	—	2	2	no	—
2269	C₂×C₄	—	2	2	no	—
2270	C₂×C₄	—	2	2	no	—
2271	C₂×C₄	—	2	2	no	—
2272	C₂×C₄	—	2	1	no	—
2273	C₂×C₄	—	2	2	no	—
2274	C₂×C₄	—	2	1	no	—
2275	C₂×C₄	—	2	2	no	—
2276	C₂×C₄	—	2	1	no	—
2277	C₂×C₄	—	2	2	no	—
2278	C₂×C₄	—	2	2	no	—
2279	C₂×C₄	—	2	2	no	—
2280	C₂×C₄	—	2	2	no	—
2281	C₂×C₄	—	2	2	no	—
2282	C₂×C₄	—	2	1	no	—
2283	C₂×C₄	—	2	1	no	—
2284	C₂×C₄	—	2	2	no	—
2285	C₂×C₄	—	2	1	no	—
2286	C₂×C₄	—	2	1	no	—
2287	C₂×C₄	—	2	2	no	—
2288	C₂×C₄	—	2	1	no	—
2289	C₂×C₄	—	2	1	no	—
2290	C₂×C₄	—	2	1	no	—
2291	C₂×C₄	—	2	1	no	—
2292	C₂×C₄	—	2	1	no	—
2293	C₂×C₄	—	2	2	no	—
2294	C₂×C₄	—	2	1	no	—
2295	C₂×C₄	—	2	1	no	—
2296	C₂×C₄	—	2	1	no	—
2297	C₂×C₄	—	2	1	no	—
2298	C₂×C₄	—	2	2	no	—
2299	C₂×C₄	—	2	1	no	—
2300	C₂×C₄	—	2	1	no	—
2301	C₂×C₄	—	2	1	no	—
2302	C₂×C₄	—	2	1	no	—
2303	C₂×C₄	—	2	1	no	—
2304	C₂×C₄	—	2	2	no	—
2305	C₂×C₄	—	2	1	no	—
2306	C₂×C₄	—	2	2	no	—
2307	C₂×C₄	—	2	2	no	—
2308	C₂×C₄	—	2	1	no	—
2309	C₂×C₄	—	2	1	no	—
2310	C₂×C₄	—	2	2	no	—
2311	C₂×C₄	—	2	1	no	—
2312	C₂×C₄	—	2	1	no	—
2313	C₂×C₄	—	2	1	no	—
2314	C₂×C₄	—	2	1	no	—
2315	C₂×C₄	—	2	1	no	—
2316	C₂×C₄	—	2	2	no	—
2317	C₂×C₄	—	4	8	no	—
2318	C₂×C₄	—	4	8	no	—
2319	C₂×C₄	—	4	8	no	—
2320	C₂×C₄	—	4	8	no	—
2321	C₂×C₄	—	4	4	no	—
2322	C₂×C₄	—	8	4	no	—
2323	C₂×C₄	—	8	2	no	—
2324	C₂×C₄	—	8	4	no	—
2325	C₂×C₄	—	8	4	no	—
2326	C₂×C₄	—	16	2	no	—
2327	C₂×C₄	—	16	2	no	—
2328	C₂×C₄	C₂³×Q₈	1	2	yes	—
2329	C₂×C₄	C₂³×Q₈	1	2	yes	—
2330	C₂×C₄	C₂³×Q₈	1	4	yes	—
2331	C₂×C₄	C₂³×Q₈	1	4	yes	—
2332	C₂×C₄	C₂³×Q₈	1	4	yes	—
2333	C₂×C₄	C₂³×Q₈	1	2	yes	—
2334	C₂×C₄	C₂³×Q₈	1	2	yes	—
2335	C₂×C₄	C₂³×Q₈	1	2	yes	—
2336	C₂×C₄	C₂³×Q₈	1	2	yes	—
2337	C₂×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
2338	C₂×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
2339	C₂×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
2340	C₂×C₄	#585	1	2	yes	—
2341	C₂×C₄	#585	1	2	yes	—
2342	C₂×C₄	#585	1	2	yes	—
2343	C₂²	—	2	2	no	—
2344	C₂²	—	2	4	no	—
2345	C₂²	—	2	4	no	—
2346	C₂²	—	2	2	no	—
2347	C₂²	—	2	2	no	—
2348	C₂²	—	2	4	no	—
2349	C₂²	—	4	1	no	—
2350	C₂²	—	4	2	no	—
2351	C₂²	—	4	1	no	—
2352	C₂²	—	4	2	no	—
2353	C₂²	—	4	1	no	—
2354	C₂²	—	4	2	no	—
2355	C₂²	—	4	2	no	—
2356	C₂²	—	4	1	no	—
2357	C₂²	C₂⁴×Q₈	1	1	yes	characteristic
2358	C₂²	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
2359	C₂²	C₂×#585	1	1	yes	characteristic
2360	C₂²	C₂×#585	1	1	yes	characteristic
2361	C₂²	C₂×#585	1	1	yes	characteristic
2362	C₂²	2₋¹⁺⁶	1	1	yes	characteristic
2363	C₂²	2₋¹⁺⁶	1	1	yes	characteristic
2364	C₄	—	2	4	no	—
2365	C₄	—	2	2	no	—
2366	C₄	—	2	4	no	—
2367	C₄	—	2	2	no	—
2368	C₄	—	2	2	no	—
2369	C₄	—	2	2	no	—
2370	C₄	—	2	2	no	—
2371	C₄	—	2	2	no	—
2372	C₄	—	2	2	no	—
2373	C₄	—	2	2	no	—
2374	C₄	—	2	4	no	—
2375	C₄	—	2	2	no	—
2376	C₄	—	4	2	no	—
2377	C₄	—	4	1	no	—
2378	C₄	—	4	2	no	—
2379	C₄	—	4	1	no	—
2380	C₄	—	4	2	no	—
2381	C₄	—	4	1	no	—
2382	C₄	—	4	1	no	—
2383	C₄	—	4	2	no	—
2384	C₄	—	4	1	no	—
2385	C₄	—	4	1	no	—
2386	C₄	—	4	1	no	—
2387	C₄	—	4	1	no	—
2388	C₄	—	4	1	no	—
2389	C₄	—	4	1	no	—
2390	C₄	—	4	1	no	—
2391	C₄	—	4	1	no	—
2392	C₄	—	4	1	no	—
2393	C₄	—	4	2	no	—
2394	C₄	—	4	1	no	—
2395	C₄	—	4	2	no	—
2396	C₄	—	4	2	no	—
2397	C₄	—	4	2	no	—
2398	C₄	—	4	2	no	—
2399	C₄	—	4	1	no	—
2400	C₄	—	4	1	no	—
2401	C₄	—	4	1	no	—
2402	C₄	—	4	1	no	—
2403	C₄	—	4	2	no	—
2404	C₄	—	4	1	no	—
2405	C₄	—	4	2	no	—
2406	C₄	—	4	2	no	—
2407	C₄	—	4	1	no	—
2408	C₄	#3458	1	4	yes	—
2409	C₂	—	4	2	no	—
2410	C₂	—	4	4	no	—
2411	C₂	C₂×#3458	1	1	yes	characteristic
2412	C₂	#62960	1	1	yes	characteristic
2413	C₂	#62968	1	1	yes	characteristic
2414	C₂	Q₈×H(5,𝔽₂)	1	1	yes	characteristic
2415	C₂	#63004	1	1	yes	characteristic
2416	C₂	#63018	1	1	yes	characteristic
2417	C₂	#63053	1	1	yes	characteristic

	subgroup	G/H
center, commutator, Frattini, socle, cosocle	C₂³	C₂⁶
prime radical	C₂²×#41	C₂³
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂³ ◁ G
LECS	G ▷ C₂³ ▷ C₁

Complements

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

N	H ≅ G/N	type
1. #52289	C₂	semidirect
2. #52162	C₂	semidirect
5. #42825	C₂	semidirect
6. #42820	C₂	semidirect
7. #42498	C₂	semidirect
8. #42496	C₂	semidirect
9. #42008	C₂	semidirect
10. #42005	C₂	semidirect
11. #40637	C₂	semidirect
12. #40635	C₂	semidirect
13. #40625	C₂	semidirect
14. #40625	C₂	semidirect
17. #39979	C₂	semidirect
18. #39977	C₂	semidirect
19. #39969	C₂	semidirect
20. #39964	C₂	semidirect
21. #39370	C₂	semidirect
22. #39181	C₂	semidirect
23. #39175	C₂	semidirect
24. #38459	C₂	semidirect
25. #37690	C₂	semidirect
26. #37689	C₂	semidirect
27. #37314	C₂	semidirect
28. #37313	C₂	semidirect
29. #37308	C₂	semidirect
30. #37138	C₂	semidirect
31. #36755	C₂	semidirect
32. #36754	C₂	semidirect
33. #36599	C₂	semidirect
34. #36497	C₂	semidirect
35. #36477	C₂	semidirect
36. #36286	C₂	semidirect
37. #36133	C₂	semidirect
38. #36132	C₂	semidirect
39. #35952	C₂	semidirect
40. #35936	C₂	semidirect
41. #35871	C₂	semidirect
42. #35867	C₂	semidirect
43. #35788	C₂	semidirect
44. #35783	C₂	semidirect
510. #520	Q₈	semidirect

Maximal subgroups

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

subgroup	index
#52289	2
#52162	2
#42954	2
#42930	2
#42825	2
#42820	2
#42498	2
#42496	2
#42008	2
#42005	2
#40637	2
#40635	2
#40625	2
#39981	2
#39979	2
#39977	2
#39969	2
#39964	2
#39370	2
#39181	2
#39175	2
#38459	2
#37690	2
#37689	2
#37314	2
#37313	2
#37308	2
#37138	2
#36755	2
#36754	2
#36599	2
#36497	2
#36477	2
#36286	2
#36133	2
#36132	2
#35952	2
#35936	2
#35871	2
#35867	2
#35788	2
#35783	2
#34263	2
#34260	2
#34252	2