Subgroups — #8424531

Order 512.

4292 conjugacy classes of subgroups.

The subgroup lattice has 2455 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#59587	C₂	1	1	yes	maximal, characteristic, complemented
2	#59316	C₂	1	1	yes	maximal, characteristic, complemented
3	#59309	C₂	1	1	yes	maximal, characteristic, complemented
4	#59239	C₂	1	2	yes	maximal, complemented
5	#59140	C₂	1	1	yes	maximal, characteristic, complemented
6	#59134	C₂	1	1	yes	maximal, characteristic, complemented
7	#58697	C₂	1	2	yes	maximal, complemented
8	#58688	C₂	1	2	yes	maximal, complemented
9	#58682	C₂	1	2	yes	maximal, complemented
10	#58678	C₂	1	2	yes	maximal, complemented
11	#53093	C₂	1	1	yes	maximal, characteristic, complemented
12	#53072	C₂	1	1	yes	maximal, characteristic, complemented
13	#53048	C₂	1	1	yes	maximal, characteristic, complemented
14	#53042	C₂	1	1	yes	maximal, characteristic, complemented
15	#52830	C₂	1	2	yes	maximal, complemented
16	#52793	C₂	1	2	yes	maximal, complemented
17	#52377	C₂	1	2	yes	maximal, complemented
18	#52321	C₂	1	2	yes	maximal
19	#42915	C₂	1	1	yes	maximal, characteristic, complemented
20	#42764	C₂	1	1	yes	maximal, characteristic, complemented
21	#42644	C₂	1	1	yes	maximal, characteristic, complemented
22	#42546	C₂	1	1	yes	maximal, characteristic, complemented
23	#42273	C₂	1	2	yes	maximal, complemented
24	#41766	C₂	1	2	yes	maximal, complemented
25	#40865	C₂	1	2	yes	maximal, complemented
26	#40547	C₂	1	2	yes	maximal, complemented
27	#39978	C₂	1	1	yes	maximal, characteristic, complemented
28	#39904	C₂	1	1	yes	maximal, characteristic, complemented
29	#39504	C₂	1	1	yes	maximal, characteristic, complemented
30	#39366	C₂	1	1	yes	maximal, characteristic, complemented
31	#39190	C₂	1	1	yes	maximal, characteristic, complemented
32	#39153	C₂	1	1	yes	maximal, characteristic, complemented
33	#38606	C₂	1	2	yes	maximal, complemented
34	#37979	C₂	1	2	yes	maximal, complemented
35	#37687	C₂	1	1	yes	maximal, characteristic, complemented
36	#37686	C₂	1	1	yes	maximal, characteristic, complemented
37	#37582	C₂	1	1	yes	maximal, characteristic, complemented
38	#37567	C₂	1	1	yes	maximal, characteristic, complemented
39	#37525	C₂	1	2	yes	maximal, complemented
40	#37503	C₂	1	1	yes	maximal, characteristic, complemented
41	#37503	C₂	1	1	yes	maximal, characteristic, complemented
42	#36571	C₂	1	1	yes	maximal, characteristic, complemented
43	#36486	C₂	1	1	yes	maximal, characteristic, complemented
44	#36191	C₂	1	1	yes	maximal, characteristic, complemented
45	C₂×#2550	C₂	1	1	yes	maximal, characteristic, complemented
46	#34788	C₂	1	1	yes	maximal, characteristic
47	#34780	C₂	1	1	yes	maximal, characteristic, complemented
48	C₂×#556	C₂²	1	1	yes	characteristic
49	C₂×#552	C₂²	1	1	yes	characteristic
50	C₂×#544	C₂²	1	1	yes	characteristic
51	C₂×#544	C₂²	1	1	yes	characteristic
52	C₂²×C₄⋊Q₈	C₂²	1	1	yes	characteristic
53	C₂²×#125	C₂²	1	1	yes	characteristic
54	#2862	C₂²	1	1	yes	characteristic
55	#2857	C₂²	1	1	yes	characteristic
56	#2853	C₂²	1	2	yes	—
57	#2851	C₂²	1	1	yes	characteristic
58	#2851	C₂²	1	1	yes	characteristic
59	#2851	C₂²	1	1	yes	characteristic
60	#2841	C₂²	1	2	yes	—
61	#2841	C₂²	1	2	yes	—
62	#2841	C₂²	1	2	yes	—
63	#2839	C₂²	1	2	yes	—
64	#2839	C₂²	1	2	yes	—
65	#2839	C₂²	1	2	yes	—
66	#2839	C₂²	1	2	yes	—
67	#2839	C₂²	1	2	yes	—
68	#2839	C₂²	1	2	yes	—
69	#2838	C₂²	1	2	yes	—
70	#2838	C₂²	1	2	yes	—
71	#2838	C₂²	1	2	yes	—
72	#2838	C₂²	1	2	yes	—
73	#2838	C₂²	1	2	yes	—
74	#2837	C₂²	1	2	yes	—
75	#2836	C₂²	1	2	yes	—
76	#2836	C₂²	1	2	yes	—
77	#2833	C₂²	1	2	yes	—
78	#2833	C₂²	1	2	yes	—
79	#2833	C₂²	1	2	yes	—
80	#2832	C₂²	1	2	yes	—
81	#2831	C₂²	1	2	yes	—
82	#2831	C₂²	1	2	yes	—
83	#2831	C₂²	1	2	yes	—
84	#2830	C₂²	1	2	yes	—
85	#2821	C₂²	1	2	yes	—
86	#2820	C₂²	1	2	yes	—
87	#2814	C₂²	1	2	yes	—
88	#2809	C₂²	1	2	yes	—
89	#2808	C₂²	1	2	yes	—
90	#2806	C₂²	1	2	yes	—
91	#2802	C₂²	1	2	yes	—
92	#2799	C₂²	1	2	yes	—
93	#2796	C₂²	1	2	yes	—
94	#2791	C₂²	1	2	yes	—
95	#2789	C₂²	1	2	yes	—
96	#2789	C₂²	1	2	yes	—
97	#2788	C₂²	1	2	yes	—
98	#2787	C₂²	1	2	yes	—
99	#2787	C₂²	1	2	yes	—
100	#2783	C₂²	1	2	yes	—
101	#2783	C₂²	1	2	yes	—
102	#2777	C₂²	1	2	yes	—
103	#2777	C₂²	1	2	yes	—
104	#2775	C₂²	1	2	yes	—
105	#2774	C₂²	1	2	yes	—
106	#2773	C₂²	1	2	yes	—
107	#2772	C₂²	1	2	yes	—
108	#2769	C₂²	1	2	yes	—
109	#2767	C₂²	1	2	yes	—
110	#2766	C₂²	1	2	yes	—
111	#2766	C₂²	1	2	yes	—
112	#2766	C₂²	1	2	yes	—
113	#2765	C₂²	1	2	yes	—
114	#2762	C₂²	1	2	yes	—
115	#2762	C₂²	1	2	yes	—
116	#2761	C₂²	1	2	yes	—
117	#2759	C₂²	1	2	yes	—
118	#2759	C₂²	1	2	yes	—
119	#2758	C₂²	1	2	yes	—
120	#2758	C₂²	1	2	yes	—
121	#2758	C₂²	1	2	yes	—
122	#2758	C₂²	1	2	yes	—
123	#2757	C₂²	1	2	yes	—
124	#2755	C₂²	1	2	yes	—
125	#2755	C₂²	1	2	yes	—
126	#2754	C₂²	1	2	yes	—
127	#2747	C₂²	1	2	yes	—
128	#2745	C₂²	1	2	yes	—
129	#2738	C₂²	1	2	yes	—
130	#2738	C₂²	1	2	yes	—
131	#2734	C₂²	1	2	yes	—
132	#2731	C₂²	1	2	yes	—
133	#2729	C₂²	1	2	yes	—
134	#2726	C₂²	1	2	yes	—
135	#2722	C₂²	1	2	yes	—
136	#2721	C₂²	1	2	yes	—
137	#2720	C₂²	1	2	yes	—
138	#2719	C₂²	1	2	yes	—
139	#2719	C₂²	1	2	yes	—
140	#2716	C₂²	1	2	yes	—
141	#2716	C₂²	1	2	yes	—
142	#2716	C₂²	1	2	yes	—
143	#2713	C₂²	1	2	yes	—
144	#2713	C₂²	1	2	yes	—
145	#2713	C₂²	1	2	yes	—
146	#2713	C₂²	1	2	yes	—
147	#2713	C₂²	1	2	yes	—
148	#2713	C₂²	1	2	yes	—
149	#2713	C₂²	1	2	yes	—
150	#2707	C₂²	1	2	yes	—
151	#2704	C₂²	1	2	yes	—
152	#2704	C₂²	1	2	yes	—
153	#2700	C₂²	1	2	yes	—
154	#2700	C₂²	1	2	yes	—
155	#2698	C₂²	1	2	yes	—
156	#2698	C₂²	1	2	yes	—
157	#2692	C₂²	1	2	yes	—
158	#2692	C₂²	1	2	yes	—
159	#2686	C₂²	1	2	yes	—
160	#2677	C₂²	1	2	yes	—
161	#2672	C₂²	1	2	yes	—
162	#2667	C₂²	1	2	yes	—
163	#2666	C₂²	1	2	yes	—
164	#2666	C₂²	1	2	yes	—
165	#2666	C₂²	1	2	yes	—
166	#2666	C₂²	1	2	yes	—
167	#2666	C₂²	1	2	yes	—
168	#2666	C₂²	1	2	yes	—
169	#2665	C₂²	1	2	yes	—
170	#2664	C₂²	1	2	yes	—
171	#2663	C₂²	1	2	yes	—
172	#2660	C₂²	1	1	yes	characteristic
173	#2660	C₂²	1	1	yes	characteristic
174	#2655	C₂²	1	2	yes	—
175	#2654	C₂²	1	2	yes	—
176	#2654	C₂²	1	2	yes	—
177	#2654	C₂²	1	2	yes	—
178	#2654	C₂²	1	2	yes	—
179	#2652	C₂²	1	2	yes	—
180	#2651	C₂²	1	2	yes	—
181	#2650	C₂²	1	2	yes	—
182	#2649	C₂²	1	2	yes	—
183	#2647	C₂²	1	1	yes	characteristic
184	#2647	C₂²	1	1	yes	characteristic
185	#2645	C₂²	1	1	yes	characteristic
186	#2645	C₂²	1	1	yes	characteristic
187	#2634	C₂²	1	2	yes	—
188	#2634	C₂²	1	2	yes	—
189	#2629	C₂²	1	1	yes	characteristic
190	#2628	C₂²	1	1	yes	characteristic
191	#2628	C₂²	1	1	yes	characteristic
192	#2628	C₂²	1	1	yes	characteristic
193	#2627	C₂²	1	2	yes	—
194	#2627	C₂²	1	2	yes	—
195	#2625	C₂²	1	2	yes	—
196	#2625	C₂²	1	1	yes	characteristic
197	#2625	C₂²	1	1	yes	characteristic
198	#2623	C₂²	1	2	yes	—
199	#2623	C₂²	1	2	yes	—
200	#2623	C₂²	1	2	yes	—
201	#2618	C₂²	1	2	yes	—
202	#2612	C₂²	1	2	yes	—
203	#2606	C₂²	1	2	yes	—
204	#2605	C₂²	1	2	yes	—
205	#2605	C₂²	1	2	yes	—
206	#2597	C₂²	1	2	yes	—
207	#2594	C₂²	1	2	yes	—
208	#2590	C₂²	1	2	yes	—
209	#2590	C₂²	1	2	yes	—
210	#2588	C₂²	1	2	yes	—
211	#2585	C₂²	1	2	yes	—
212	#2585	C₂²	1	2	yes	—
213	#2583	C₂²	1	2	yes	—
214	#2577	C₂²	1	2	yes	—
215	#2574	C₂²	1	2	yes	—
216	#2574	C₂²	1	2	yes	—
217	#2573	C₂²	1	2	yes	—
218	#2570	C₂²	1	1	yes	characteristic
219	#2570	C₂²	1	1	yes	characteristic
220	#2570	C₂²	1	1	yes	characteristic
221	#2570	C₂²	1	1	yes	characteristic
222	#2569	C₂²	1	2	yes	—
223	#2568	C₂²	1	1	yes	characteristic
224	#2568	C₂²	1	2	yes	—
225	#2565	C₂²	1	1	yes	characteristic
226	#2565	C₂²	1	1	yes	characteristic
227	#2562	C₂²	1	1	yes	characteristic
228	#2562	C₂²	1	1	yes	characteristic
229	#2556	C₂²	1	2	yes	—
230	#2556	C₂²	1	2	yes	—
231	#2553	C₂²	1	2	yes	—
232	#2552	C₂²	1	1	yes	characteristic
233	#2551	C₂²	1	1	yes	characteristic
234	#2550	C₂²	1	1	yes	characteristic
235	#2550	C₂²	1	2	yes	—
236	#2550	C₂²	1	1	yes	characteristic
237	#2550	C₂²	1	1	yes	characteristic
238	#2550	C₂²	1	1	yes	characteristic
239	#2550	C₂²	1	1	yes	characteristic
240	#2550	C₂²	1	1	yes	characteristic
241	#2550	C₂²	1	2	yes	—
242	#2550	C₂²	1	1	yes	characteristic
243	#2550	C₂²	1	2	yes	—
244	#2550	C₂²	1	2	yes	—
245	#2550	C₂²	1	1	yes	characteristic
246	#2550	C₂²	1	1	yes	characteristic
247	#2550	C₂²	1	1	yes	characteristic
248	#2550	C₂²	1	1	yes	characteristic
249	#2547	C₂²	1	1	yes	characteristic
250	#2545	C₂²	1	2	yes	—
251	#2536	C₂²	1	1	yes	characteristic
252	#2533	C₂²	1	2	yes	—
253	#2532	C₂²	1	2	yes	—
254	#2532	C₂²	1	2	yes	—
255	#2530	C₂²	1	2	yes	—
256	#2529	C₂²	1	2	yes	—
257	#2529	C₂²	1	2	yes	—
258	#2527	C₂²	1	2	yes	—
259	#2525	C₂²	1	1	yes	characteristic
260	#2525	C₂²	1	1	yes	characteristic
261	#2524	C₂²	1	2	yes	—
262	#2521	C₂²	1	2	yes	—
263	#2520	C₂²	1	2	yes	—
264	#2520	C₂²	1	2	yes	—
265	#2520	C₂²	1	2	yes	—
266	#2520	C₂²	1	2	yes	—
267	#2519	C₂²	1	2	yes	—
268	#2519	C₂²	1	2	yes	—
269	#2516	C₂²	1	1	yes	characteristic
270	#2516	C₂²	1	1	yes	characteristic
271	#2515	C₂²	1	2	yes	—
272	#2515	C₂²	1	2	yes	—
273	#2514	C₂²	1	2	yes	—
274	#2514	C₂²	1	1	yes	characteristic
275	#2514	C₂²	1	2	yes	—
276	#2513	C₂²	1	1	yes	characteristic
277	#2510	C₂²	1	1	yes	characteristic
278	#2510	C₂²	1	1	yes	characteristic
279	#2510	C₂²	1	2	yes	—
280	#2509	C₂²	1	1	yes	characteristic
281	#2509	C₂²	1	1	yes	characteristic
282	#2509	C₂²	1	1	yes	characteristic
283	#2508	C₂²	1	1	yes	characteristic
284	#2508	C₂²	1	1	yes	characteristic
285	#2508	C₂²	1	1	yes	characteristic
286	#2508	C₂²	1	2	yes	—
287	#2508	C₂²	1	1	yes	characteristic
288	#2508	C₂²	1	1	yes	characteristic
289	#2507	C₂²	1	1	yes	characteristic
290	#2506	C₂²	1	1	yes	characteristic
291	#2505	C₂²	1	2	yes	—
292	#2504	C₂²	1	1	yes	characteristic
293	#2503	C₂²	1	1	yes	characteristic
294	#2503	C₂²	1	1	yes	characteristic
295	#2499	C₂²	1	2	yes	—
296	#2499	C₂²	1	1	yes	characteristic
297	#2497	C₂²	1	1	yes	characteristic
298	#2497	C₂²	1	1	yes	characteristic
299	#2497	C₂²	1	1	yes	characteristic
300	#2495	C₂²	1	1	yes	characteristic
301	#2495	C₂²	1	1	yes	characteristic
302	#2495	C₂²	1	1	yes	characteristic
303	#2495	C₂²	1	1	yes	characteristic
304	#2495	C₂²	1	1	yes	characteristic
305	#2494	C₂²	1	1	yes	characteristic
306	#2494	C₂²	1	1	yes	characteristic
307	#2494	C₂²	1	1	yes	characteristic
308	#2494	C₂²	1	1	yes	characteristic
309	#2493	C₂²	1	2	yes	—
310	#2493	C₂²	1	2	yes	—
311	#2493	C₂²	1	2	yes	—
312	#2493	C₂²	1	2	yes	—
313	#2493	C₂²	1	2	yes	—
314	#2492	C₂²	1	1	yes	characteristic
315	#2492	C₂²	1	2	yes	—
316	#2492	C₂²	1	2	yes	—
317	#2492	C₂²	1	1	yes	characteristic
318	#2490	C₂²	1	1	yes	characteristic
319	#2489	C₂²	1	1	yes	characteristic
320	#2489	C₂²	1	1	yes	characteristic
321	#2489	C₂²	1	1	yes	characteristic
322	#2488	C₂²	1	2	yes	—
323	#2488	C₂²	1	2	yes	—
324	#2488	C₂²	1	2	yes	—
325	#2488	C₂²	1	2	yes	—
326	#2487	C₂²	1	1	yes	characteristic
327	#2487	C₂²	1	1	yes	characteristic
328	#2486	C₂²	1	1	yes	characteristic
329	#2486	C₂²	1	1	yes	characteristic
330	#2486	C₂²	1	1	yes	characteristic
331	#2485	C₂²	1	1	yes	characteristic
332	#2485	C₂²	1	1	yes	characteristic
333	#2485	C₂²	1	1	yes	characteristic
334	#2481	C₂²	1	2	yes	—
335	#2481	C₂²	1	2	yes	—
336	#2481	C₂²	1	2	yes	—
337	#2479	C₂²	1	2	yes	—
338	#2475	C₂²	1	2	yes	—
339	#2473	C₂²	1	2	yes	—
340	#2473	C₂²	1	2	yes	—
341	#2473	C₂²	1	2	yes	—
342	#2462	C₂²	1	2	yes	—
343	#2462	C₂²	1	2	yes	—
344	#2453	C₂²	1	1	yes	characteristic
345	#2451	C₂²	1	1	yes	characteristic
346	#2451	C₂²	1	1	yes	characteristic
347	#2451	C₂²	1	1	yes	characteristic
348	#2450	C₂²	1	2	yes	—
349	#2450	C₂²	1	2	yes	—
350	#2449	C₂²	1	2	yes	—
351	#2449	C₂²	1	2	yes	—
352	#2446	C₂²	1	2	yes	—
353	#2444	C₂²	1	2	yes	—
354	#2444	C₂²	1	1	yes	characteristic
355	#2444	C₂²	1	1	yes	characteristic
356	#2443	C₂²	1	2	yes	—
357	#2442	C₂²	1	1	yes	characteristic
358	#2442	C₂²	1	2	yes	—
359	#2442	C₂²	1	1	yes	characteristic
360	#2442	C₂²	1	1	yes	characteristic
361	#2442	C₂²	1	1	yes	characteristic
362	#2442	C₂²	1	1	yes	characteristic
363	#2441	C₂²	1	1	yes	characteristic
364	#2441	C₂²	1	1	yes	characteristic
365	#2441	C₂²	1	1	yes	characteristic
366	#2440	C₂²	1	1	yes	characteristic
367	#2440	C₂²	1	1	yes	characteristic
368	#2440	C₂²	1	1	yes	characteristic
369	#2440	C₂²	1	2	yes	—
370	#2439	C₂²	1	1	yes	characteristic
371	#2439	C₂²	1	1	yes	characteristic
372	#2439	C₂²	1	1	yes	characteristic
373	#2439	C₂²	1	1	yes	characteristic
374	#2439	C₂²	1	1	yes	characteristic
375	#2439	C₂²	1	1	yes	characteristic
376	#2439	C₂²	1	1	yes	characteristic
377	#2436	C₂²	1	2	yes	—
378	#2434	C₂²	1	2	yes	—
379	#2425	C₂²	1	2	yes	—
380	#2425	C₂²	1	2	yes	—
381	#2423	C₂²	1	1	yes	characteristic
382	#2423	C₂²	1	1	yes	characteristic
383	#2421	C₂²	1	2	yes	—
384	#2419	C₂²	1	2	yes	—
385	#2417	C₂²	1	1	yes	characteristic
386	#2417	C₂²	1	1	yes	characteristic
387	#2417	C₂²	1	2	yes	—
388	#2417	C₂²	1	1	yes	characteristic
389	#2416	C₂²	1	1	yes	characteristic
390	#2409	C₂²	1	2	yes	—
391	#2402	C₂²	1	2	yes	—
392	#2401	C₂²	1	1	yes	characteristic
393	#2401	C₂²	1	2	yes	—
394	#2401	C₂²	1	1	yes	characteristic
395	#2395	C₂²	1	1	yes	characteristic
396	#2395	C₂²	1	1	yes	characteristic
397	C₂×#398	C₂²	1	2	yes	—
398	C₂×#395	C₂²	1	2	yes	—
399	#2370	C₂²	1	1	yes	characteristic
400	#2370	C₂²	1	2	yes	—
401	#2370	C₂²	1	1	yes	characteristic
402	#2370	C₂²	1	1	yes	characteristic
403	#2368	C₂²	1	2	yes	—
404	#2368	C₂²	1	2	yes	—
405	#2368	C₂²	1	2	yes	—
406	#2365	C₂²	1	1	yes	characteristic
407	#2362	C₂²	1	2	yes	—
408	#2356	C₂²	1	1	yes	characteristic
409	#2355	C₂²	1	2	yes	—
410	#2353	C₂²	1	2	yes	—
411	#2352	C₂²	1	1	yes	characteristic
412	#2352	C₂²	1	2	yes	—
413	#2352	C₂²	1	1	yes	characteristic
414	#2352	C₂²	1	1	yes	characteristic
415	#2352	C₂²	1	1	yes	characteristic
416	#2352	C₂²	1	1	yes	characteristic
417	#2352	C₂²	1	1	yes	characteristic
418	#2351	C₂²	1	1	yes	characteristic
419	D₄×C₄⋊C₄	C₂²	1	1	yes	characteristic
420	D₄×C₄⋊C₄	C₂²	1	1	yes	characteristic
421	#2347	C₂²	1	1	yes	characteristic
422	#2345	C₂²	1	1	yes	characteristic
423	Q₈×C₂²⋊C₄	C₂²	1	2	yes	—
424	#2337	C₂²	1	2	yes	—
425	#2331	C₂²	1	1	yes	characteristic
426	#2331	C₂²	1	2	yes	—
427	#2330	C₂²	1	1	yes	characteristic
428	#2322	C₂²	1	2	yes	—
429	#2313	C₂²	1	2	yes	—
430	C₄×#125	C₂²	1	1	yes	characteristic
431	C₄×#125	C₂²	1	1	yes	characteristic
432	C₄×#125	C₂²	1	1	yes	characteristic
433	C₄×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
434	C₄×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
435	C₄×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
436	C₄×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
437	C₄×#123	C₂²	1	2	yes	—
438	C₄×#123	C₂²	1	2	yes	—
439	C₄×#121	C₂²	1	1	yes	characteristic
440	C₄×#121	C₂²	1	1	yes	characteristic
441	C₄×#121	C₂²	1	1	yes	characteristic
442	C₄×#121	C₂²	1	1	yes	characteristic
443	#2295	C₂²	1	1	yes	characteristic
444	C₂×#391	C₂²	1	2	yes	—
445	#2293	C₂²	1	1	yes	characteristic
446	C₂×#389	C₂²	1	1	yes	characteristic
447	C₂×#389	C₂²	1	1	yes	characteristic
448	C₂×#389	C₂²	1	2	yes	—
449	#2290	C₂²	1	1	yes	characteristic
450	#2290	C₂²	1	1	yes	characteristic
451	#2285	C₂²	1	1	yes	characteristic
452	#2283	C₂²	1	2	yes	—
453	#2283	C₂²	1	1	yes	characteristic
454	#2283	C₂²	1	1	yes	characteristic
455	C₂×#382	C₂²	1	1	yes	characteristic
456	C₄²×D₄	C₂²	1	1	yes	characteristic
457	C₂×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic
458	C₂×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic
459	C₂³×Q₈	C₂³	1	2	yes	—
460	#556	—	4	4	no	—
461	#552	—	4	4	no	—
462	#544	—	4	4	no	—
463	#544	—	4	4	no	—
464	C₂×C₄⋊Q₈	—	4	4	no	—
465	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
466	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
467	C₂×C₄⋊Q₈	C₂³	1	2	yes	—
468	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
469	C₂×C₄⋊Q₈	C₂³	1	2	yes	—
470	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
471	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
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	2	yes	—
476	C₂×C₄⋊Q₈	C₂³	1	2	yes	—
477	C₂×#126	C₂³	1	2	yes	—
478	C₂×#126	C₂³	1	2	yes	—
479	C₂×#126	C₂³	1	2	yes	—
480	C₂×#125	—	4	4	no	—
481	C₂×#125	C₂³	1	1	yes	characteristic
482	C₂×#125	C₂³	1	1	yes	characteristic
483	C₂×#125	C₂³	1	1	yes	characteristic
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	2	yes	—
488	C₂×#125	C₂³	1	1	yes	characteristic
489	C₂×#125	C₂³	1	1	yes	characteristic
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×#125	C₂³	1	2	yes	—
495	C₂×#124	C₂³	1	2	yes	—
496	C₂×#124	C₂³	1	2	yes	—
497	C₂×#123	C₂³	1	2	yes	—
498	C₂×#123	C₂³	1	2	yes	—
499	C₂×#123	C₂³	1	2	yes	—
500	C₂×#123	C₂³	1	2	yes	—
501	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
502	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
509	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
510	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
511	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
512	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
513	C₂×#121	C₂³	1	1	yes	characteristic
514	C₂×#121	C₂³	1	1	yes	characteristic
515	C₂×#121	C₂³	1	1	yes	characteristic
516	C₂×#121	C₂³	1	1	yes	characteristic
517	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
518	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
519	C₂×C₄×Q₈	C₂³	1	2	yes	—
520	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
521	C₂×C₄×Q₈	C₂³	1	2	yes	—
522	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
523	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
524	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
525	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
526	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
527	C₂×C₄×D₄	C₂³	1	2	yes	—
528	C₂×C₄×D₄	C₂³	1	2	yes	—
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×#117	C₂³	1	1	yes	characteristic
533	C₂×#117	C₂³	1	1	yes	characteristic
534	C₂×#117	C₂³	1	2	yes	—
535	C₂×#117	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	1	yes	characteristic
539	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
540	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
541	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
542	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
543	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
544	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
545	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
546	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
547	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
548	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
549	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
550	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
551	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
552	C₂²×C₄²	C₂³	1	1	yes	characteristic
553	C₂²×C₄²	C₂³	1	1	yes	characteristic
554	C₂²×C₄²	C₂³	1	1	yes	characteristic
555	C₂²×C₄²	C₂³	1	2	yes	—
556	C₂²×C₄²	C₂³	1	1	yes	characteristic
557	#401	C₂³	1	2	yes	—
558	#401	C₂³	1	2	yes	—
559	#401	C₂³	1	2	yes	—
560	#401	C₂³	1	2	yes	—
561	#401	C₂³	1	2	yes	—
562	#401	C₂³	1	2	yes	—
563	#401	C₂³	1	1	yes	characteristic
564	#401	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
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	2	yes	—
580	#400	C₂³	1	2	yes	—
581	#400	C₂³	1	2	yes	—
582	#400	C₂³	1	2	yes	—
583	#400	C₂³	1	2	yes	—
584	#400	C₂³	1	2	yes	—
585	#400	C₂³	1	2	yes	—
586	#400	C₂³	1	2	yes	—
587	#400	C₂³	1	2	yes	—
588	#400	C₂³	1	2	yes	—
589	#400	C₂³	1	2	yes	—
590	#400	C₂³	1	1	yes	characteristic
591	#400	C₂³	1	1	yes	characteristic
592	#400	C₂³	1	2	yes	—
593	#400	C₂³	1	2	yes	—
594	#400	C₂³	1	2	yes	—
595	#400	C₂³	1	2	yes	—
596	#400	C₂³	1	2	yes	—
597	#400	C₂³	1	2	yes	—
598	#400	C₂³	1	2	yes	—
599	#400	C₂³	1	2	yes	—
600	#400	C₂³	1	2	yes	—
601	#400	C₂³	1	2	yes	—
602	#400	C₂³	1	2	yes	—
603	#400	C₂³	1	2	yes	—
604	#400	C₂³	1	2	yes	—
605	#400	C₂³	1	2	yes	—
606	#400	C₂³	1	2	yes	—
607	#400	C₂³	1	2	yes	—
608	#400	C₂³	1	1	yes	characteristic
609	#400	C₂³	1	1	yes	characteristic
610	#400	C₂³	1	2	yes	—
611	#400	C₂³	1	2	yes	—
612	#400	C₂³	1	2	yes	—
613	#400	C₂³	1	2	yes	—
614	#400	C₂³	1	2	yes	—
615	#400	C₂³	1	2	yes	—
616	#400	C₂³	1	2	yes	—
617	#400	C₂³	1	2	yes	—
618	#400	C₂³	1	2	yes	—
619	#400	C₂³	1	2	yes	—
620	#400	C₂³	1	2	yes	—
621	#400	C₂³	1	2	yes	—
622	#400	C₂³	1	2	yes	—
623	#400	C₂³	1	2	yes	—
624	#400	C₂³	1	1	yes	characteristic
625	#400	C₂³	1	2	yes	—
626	#400	C₂³	1	2	yes	—
627	#400	C₂³	1	1	yes	characteristic
628	#400	C₂³	1	2	yes	—
629	#400	C₂³	1	1	yes	characteristic
630	#399	C₂³	1	2	yes	—
631	#399	C₂³	1	2	yes	—
632	#399	C₂³	1	1	yes	characteristic
633	#399	C₂³	1	2	yes	—
634	#399	C₂³	1	2	yes	—
635	#399	C₂³	1	2	yes	—
636	#399	C₂³	1	2	yes	—
637	#399	C₂³	1	1	yes	characteristic
638	#399	C₂³	1	2	yes	—
639	#399	C₂³	1	2	yes	—
640	#399	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	2	yes	—
645	#398	C₂³	1	2	yes	—
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	2	yes	—
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	2	yes	—
657	#398	C₂³	1	2	yes	—
658	#398	C₂³	1	2	yes	—
659	#398	C₂³	1	2	yes	—
660	#398	C₂³	1	2	yes	—
661	#398	C₂³	1	1	yes	characteristic
662	#398	C₂³	1	2	yes	—
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	2	yes	—
668	#398	C₂³	1	2	yes	—
669	#398	C₂³	1	2	yes	—
670	#398	C₂³	1	2	yes	—
671	#398	C₂³	1	2	yes	—
672	#398	C₂³	1	2	yes	—
673	#398	C₂³	1	2	yes	—
674	#398	C₂³	1	2	yes	—
675	#398	C₂³	1	2	yes	—
676	#398	C₂³	1	2	yes	—
677	#398	C₂³	1	2	yes	—
678	#398	C₂³	1	2	yes	—
679	#398	C₂³	1	2	yes	—
680	#398	C₂³	1	2	yes	—
681	#398	C₂³	1	2	yes	—
682	#398	C₂³	1	2	yes	—
683	#398	C₂³	1	2	yes	—
684	#398	C₂³	1	2	yes	—
685	#398	C₂³	1	2	yes	—
686	#398	C₂³	1	2	yes	—
687	#398	C₂³	1	2	yes	—
688	#398	C₂³	1	2	yes	—
689	#398	C₂³	1	2	yes	—
690	#398	C₂³	1	2	yes	—
691	#398	C₂³	1	2	yes	—
692	#398	C₂³	1	2	yes	—
693	#398	C₂³	1	2	yes	—
694	#398	C₂³	1	2	yes	—
695	#398	C₂³	1	2	yes	—
696	#398	C₂³	1	1	yes	characteristic
697	#398	C₂³	1	2	yes	—
698	#398	C₂³	1	2	yes	—
699	#398	C₂³	1	2	yes	—
700	#398	C₂³	1	2	yes	—
701	#398	C₂³	1	2	yes	—
702	#398	C₂³	1	2	yes	—
703	#398	C₂³	1	2	yes	—
704	#397	C₂³	1	2	yes	—
705	#397	C₂³	1	2	yes	—
706	#397	C₂³	1	2	yes	—
707	#397	C₂³	1	2	yes	—
708	#397	C₂³	1	2	yes	—
709	#397	C₂³	1	2	yes	—
710	#397	C₂³	1	2	yes	—
711	#397	C₂³	1	2	yes	—
712	#397	C₂³	1	2	yes	—
713	#397	C₂³	1	1	yes	characteristic
714	#397	C₂³	1	2	yes	—
715	#397	C₂³	1	2	yes	—
716	#397	C₂³	1	2	yes	—
717	#397	C₂³	1	2	yes	—
718	#397	C₂³	1	2	yes	—
719	#397	C₂³	1	1	yes	characteristic
720	#397	C₂³	1	2	yes	—
721	#397	C₂³	1	2	yes	—
722	#397	C₂³	1	2	yes	—
723	#397	C₂³	1	2	yes	—
724	#397	C₂³	1	1	yes	characteristic
725	#397	C₂³	1	1	yes	characteristic
726	#397	C₂³	1	2	yes	—
727	#397	C₂³	1	2	yes	—
728	#397	C₂³	1	2	yes	—
729	#397	C₂³	1	2	yes	—
730	#397	C₂³	1	2	yes	—
731	#397	C₂³	1	1	yes	characteristic
732	#397	C₂³	1	2	yes	—
733	#397	C₂³	1	1	yes	characteristic
734	#397	C₂³	1	1	yes	characteristic
735	#397	C₂³	1	1	yes	characteristic
736	#397	C₂³	1	1	yes	characteristic
737	#397	C₂³	1	1	yes	characteristic
738	#397	C₂³	1	1	yes	characteristic
739	#397	C₂³	1	1	yes	characteristic
740	#397	C₂³	1	2	yes	—
741	#396	C₂³	1	2	yes	—
742	#396	C₂³	1	2	yes	—
743	#396	C₂³	1	2	yes	—
744	#396	C₂³	1	2	yes	—
745	#396	C₂³	1	2	yes	—
746	#396	C₂³	1	2	yes	—
747	#396	C₂³	1	1	yes	characteristic
748	#396	C₂³	1	1	yes	characteristic
749	#396	C₂³	1	2	yes	—
750	#396	C₂³	1	2	yes	—
751	#396	C₂³	1	2	yes	—
752	#396	C₂³	1	2	yes	—
753	#396	C₂³	1	2	yes	—
754	#396	C₂³	1	2	yes	—
755	#396	C₂³	1	2	yes	—
756	#396	C₂³	1	2	yes	—
757	#396	C₂³	1	2	yes	—
758	#396	C₂³	1	2	yes	—
759	#396	C₂³	1	2	yes	—
760	#396	C₂³	1	2	yes	—
761	#395	C₂³	1	2	yes	—
762	#395	C₂³	1	2	yes	—
763	#395	C₂³	1	2	yes	—
764	#395	C₂³	1	2	yes	—
765	#395	C₂³	1	2	yes	—
766	#395	C₂³	1	2	yes	—
767	#395	C₂³	1	2	yes	—
768	#395	C₂³	1	2	yes	—
769	#395	C₂³	1	2	yes	—
770	#395	C₂³	1	2	yes	—
771	#395	C₂³	1	2	yes	—
772	#395	C₂³	1	2	yes	—
773	#395	C₂³	1	2	yes	—
774	#395	C₂³	1	2	yes	—
775	#395	C₂³	1	2	yes	—
776	#395	C₂³	1	2	yes	—
777	#395	C₂³	1	2	yes	—
778	#395	C₂³	1	2	yes	—
779	#395	C₂³	1	2	yes	—
780	#395	C₂³	1	2	yes	—
781	#395	C₂³	1	2	yes	—
782	#395	C₂³	1	2	yes	—
783	#395	C₂³	1	2	yes	—
784	#395	C₂³	1	2	yes	—
785	#395	C₂³	1	2	yes	—
786	#395	C₂³	1	2	yes	—
787	#394	C₂³	1	2	yes	—
788	#394	C₂³	1	2	yes	—
789	#394	C₂³	1	1	yes	characteristic
790	#394	C₂³	1	2	yes	—
791	#394	C₂³	1	2	yes	—
792	#394	C₂³	1	1	yes	characteristic
793	#394	C₂³	1	2	yes	—
794	#394	C₂³	1	1	yes	characteristic
795	#394	C₂³	1	2	yes	—
796	#394	C₂³	1	1	yes	characteristic
797	#393	C₂³	1	2	yes	—
798	#393	C₂³	1	2	yes	—
799	#393	C₂³	1	2	yes	—
800	#393	C₂³	1	2	yes	—
801	#393	C₂³	1	2	yes	—
802	#393	C₂³	1	2	yes	—
803	#393	C₂³	1	2	yes	—
804	#393	C₂³	1	2	yes	—
805	#393	C₂³	1	2	yes	—
806	#393	C₂³	1	2	yes	—
807	#393	C₂³	1	2	yes	—
808	#393	C₂³	1	2	yes	—
809	#391	C₂³	1	1	yes	characteristic
810	#391	C₂³	1	1	yes	characteristic
811	#391	C₂³	1	1	yes	characteristic
812	#391	C₂³	1	1	yes	characteristic
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	2	yes	—
819	#391	C₂³	1	1	yes	characteristic
820	#391	C₂³	1	2	yes	—
821	#391	C₂³	1	2	yes	—
822	#391	C₂³	1	2	yes	—
823	#391	C₂³	1	2	yes	—
824	#391	C₂³	1	2	yes	—
825	#391	C₂³	1	2	yes	—
826	#391	C₂³	1	2	yes	—
827	#391	C₂³	1	2	yes	—
828	#391	C₂³	1	2	yes	—
829	#391	C₂³	1	2	yes	—
830	#391	C₂³	1	2	yes	—
831	#391	C₂³	1	2	yes	—
832	#391	C₂³	1	2	yes	—
833	#391	C₂³	1	2	yes	—
834	#391	C₂³	1	2	yes	—
835	#391	C₂³	1	2	yes	—
836	#391	C₂³	1	2	yes	—
837	#391	C₂³	1	2	yes	—
838	#391	C₂³	1	2	yes	—
839	#391	C₂³	1	2	yes	—
840	#391	C₂³	1	2	yes	—
841	#391	C₂³	1	2	yes	—
842	#391	C₂³	1	2	yes	—
843	#391	C₂³	1	2	yes	—
844	#391	C₂³	1	1	yes	characteristic
845	#391	C₂³	1	1	yes	characteristic
846	#391	C₂³	1	1	yes	characteristic
847	#391	C₂³	1	2	yes	—
848	#391	C₂³	1	2	yes	—
849	#391	C₂³	1	2	yes	—
850	#391	C₂³	1	2	yes	—
851	#390	C₂³	1	1	yes	characteristic
852	#390	C₂³	1	1	yes	characteristic
853	#390	C₂³	1	1	yes	characteristic
854	#390	C₂³	1	1	yes	characteristic
855	#390	C₂³	1	1	yes	characteristic
856	#390	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	1	yes	characteristic
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	1	yes	characteristic
866	#389	C₂³	1	1	yes	characteristic
867	#389	C₂³	1	1	yes	characteristic
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	2	yes	—
876	#389	C₂³	1	2	yes	—
877	#389	C₂³	1	2	yes	—
878	#389	C₂³	1	2	yes	—
879	#389	C₂³	1	2	yes	—
880	#389	C₂³	1	2	yes	—
881	#389	C₂³	1	2	yes	—
882	#389	C₂³	1	2	yes	—
883	#389	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
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	1	yes	characteristic
895	#389	C₂³	1	2	yes	—
896	#389	C₂³	1	2	yes	—
897	#389	C₂³	1	2	yes	—
898	#389	C₂³	1	1	yes	characteristic
899	#389	C₂³	1	1	yes	characteristic
900	#389	C₂³	1	1	yes	characteristic
901	#389	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
909	#389	C₂³	1	1	yes	characteristic
910	#389	C₂³	1	1	yes	characteristic
911	#389	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
916	#389	C₂³	1	1	yes	characteristic
917	#389	C₂³	1	2	yes	—
918	#389	C₂³	1	2	yes	—
919	#389	C₂³	1	2	yes	—
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	1	yes	characteristic
926	#389	C₂³	1	1	yes	characteristic
927	#389	C₂³	1	1	yes	characteristic
928	#389	C₂³	1	1	yes	characteristic
929	#389	C₂³	1	1	yes	characteristic
930	#389	C₂³	1	1	yes	characteristic
931	#388	C₂³	1	2	yes	—
932	#388	C₂³	1	2	yes	—
933	#388	C₂³	1	2	yes	—
934	#388	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	2	yes	—
944	#388	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
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	1	yes	characteristic
955	#388	C₂³	1	2	yes	—
956	#388	C₂³	1	2	yes	—
957	#388	C₂³	1	2	yes	—
958	#388	C₂³	1	2	yes	—
959	#388	C₂³	1	2	yes	—
960	#388	C₂³	1	2	yes	—
961	#388	C₂³	1	2	yes	—
962	#388	C₂³	1	2	yes	—
963	#388	C₂³	1	1	yes	characteristic
964	#388	C₂³	1	2	yes	—
965	#388	C₂³	1	2	yes	—
966	#388	C₂³	1	1	yes	characteristic
967	#388	C₂³	1	2	yes	—
968	#388	C₂³	1	2	yes	—
969	#388	C₂³	1	1	yes	characteristic
970	#388	C₂³	1	1	yes	characteristic
971	#388	C₂³	1	1	yes	characteristic
972	#388	C₂³	1	2	yes	—
973	#388	C₂³	1	2	yes	—
974	#388	C₂³	1	2	yes	—
975	#388	C₂³	1	1	yes	characteristic
976	#388	C₂³	1	1	yes	characteristic
977	#388	C₂³	1	1	yes	characteristic
978	#388	C₂³	1	1	yes	characteristic
979	#388	C₂³	1	1	yes	characteristic
980	#388	C₂³	1	1	yes	characteristic
981	#388	C₂³	1	1	yes	characteristic
982	#387	C₂³	1	2	yes	—
983	#387	C₂³	1	1	yes	characteristic
984	#387	C₂³	1	2	yes	—
985	#387	C₂³	1	1	yes	characteristic
986	#387	C₂³	1	1	yes	characteristic
987	#387	C₂³	1	1	yes	characteristic
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	2	yes	—
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	2	yes	—
1031	#387	C₂³	1	2	yes	—
1032	#387	C₂³	1	2	yes	—
1033	#387	C₂³	1	1	yes	characteristic
1034	#387	C₂³	1	1	yes	characteristic
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	2	yes	—
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	2	yes	—
1065	#387	C₂³	1	2	yes	—
1066	#387	C₂³	1	2	yes	—
1067	#387	C₂³	1	2	yes	—
1068	#387	C₂³	1	2	yes	—
1069	#387	C₂³	1	2	yes	—
1070	#387	C₂³	1	2	yes	—
1071	#387	C₂³	1	2	yes	—
1072	#387	C₂³	1	2	yes	—
1073	#387	C₂³	1	1	yes	characteristic
1074	#387	C₂³	1	1	yes	characteristic
1075	#387	C₂³	1	2	yes	—
1076	#387	C₂³	1	2	yes	—
1077	#386	C₂³	1	1	yes	characteristic
1078	#386	C₂³	1	1	yes	characteristic
1079	#386	C₂³	1	2	yes	—
1080	#386	C₂³	1	2	yes	—
1081	#386	C₂³	1	1	yes	characteristic
1082	#386	C₂³	1	2	yes	—
1083	#386	C₂³	1	1	yes	characteristic
1084	#386	C₂³	1	2	yes	—
1085	#386	C₂³	1	2	yes	—
1086	#386	C₂³	1	2	yes	—
1087	#386	C₂³	1	2	yes	—
1088	#386	C₂³	1	2	yes	—
1089	#386	C₂³	1	2	yes	—
1090	#386	C₂³	1	1	yes	characteristic
1091	#386	C₂³	1	1	yes	characteristic
1092	#386	C₂³	1	1	yes	characteristic
1093	#386	C₂³	1	1	yes	characteristic
1094	#386	C₂³	1	1	yes	characteristic
1095	#386	C₂³	1	2	yes	—
1096	#386	C₂³	1	1	yes	characteristic
1097	#386	C₂³	1	1	yes	characteristic
1098	#386	C₂³	1	1	yes	characteristic
1099	#385	C₂³	1	2	yes	—
1100	#385	C₂³	1	2	yes	—
1101	#385	C₂³	1	2	yes	—
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	2	yes	—
1116	#385	C₂³	1	2	yes	—
1117	#385	C₂³	1	1	yes	characteristic
1118	#385	C₂³	1	1	yes	characteristic
1119	#385	C₂³	1	2	yes	—
1120	#385	C₂³	1	2	yes	—
1121	#385	C₂³	1	2	yes	—
1122	#385	C₂³	1	1	yes	characteristic
1123	#385	C₂³	1	2	yes	—
1124	#385	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	1	yes	characteristic
1129	#384	C₂³	1	1	yes	characteristic
1130	#384	C₂³	1	2	yes	—
1131	#383	C₂³	1	2	yes	—
1132	#383	C₂³	1	2	yes	—
1133	#383	C₂³	1	2	yes	—
1134	#383	C₂³	1	1	yes	characteristic
1135	#383	C₂³	1	1	yes	characteristic
1136	#383	C₂³	1	2	yes	—
1137	#383	C₂³	1	2	yes	—
1138	#383	C₂³	1	2	yes	—
1139	#383	C₂³	1	2	yes	—
1140	#383	C₂³	1	2	yes	—
1141	#383	C₂³	1	2	yes	—
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	2	yes	—
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	1	yes	characteristic
1150	#382	C₂³	1	2	yes	—
1151	#382	C₂³	1	2	yes	—
1152	#382	C₂³	1	1	yes	characteristic
1153	#382	C₂³	1	1	yes	characteristic
1154	#382	C₂³	1	1	yes	characteristic
1155	#382	C₂³	1	1	yes	characteristic
1156	#382	C₂³	1	2	yes	—
1157	#382	C₂³	1	2	yes	—
1158	#382	C₂³	1	2	yes	—
1159	#382	C₂³	1	1	yes	characteristic
1160	#382	C₂³	1	2	yes	—
1161	#382	C₂³	1	2	yes	—
1162	#382	C₂³	1	1	yes	characteristic
1163	#382	C₂³	1	1	yes	characteristic
1164	#382	C₂³	1	1	yes	characteristic
1165	#382	C₂³	1	1	yes	characteristic
1166	#382	C₂³	1	2	yes	—
1167	#382	C₂³	1	2	yes	—
1168	#382	C₂³	1	2	yes	—
1169	#381	C₂³	1	2	yes	—
1170	#381	C₂³	1	2	yes	—
1171	#381	C₂³	1	1	yes	characteristic
1172	#381	C₂³	1	2	yes	—
1173	#381	C₂³	1	2	yes	—
1174	#381	C₂³	1	2	yes	—
1175	#381	C₂³	1	2	yes	—
1176	#381	C₂³	1	2	yes	—
1177	#381	C₂³	1	2	yes	—
1178	#381	C₂³	1	1	yes	characteristic
1179	#380	C₂³	1	1	yes	characteristic
1180	#380	C₂³	1	1	yes	characteristic
1181	#380	C₂³	1	1	yes	characteristic
1182	#380	C₂³	1	1	yes	characteristic
1183	#380	C₂³	1	1	yes	characteristic
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	2	yes	—
1188	#380	C₂³	1	1	yes	characteristic
1189	#380	C₂³	1	2	yes	—
1190	#380	C₂³	1	2	yes	—
1191	#380	C₂³	1	2	yes	—
1192	#380	C₂³	1	2	yes	—
1193	#380	C₂³	1	2	yes	—
1194	#380	C₂³	1	1	yes	characteristic
1195	#380	C₂³	1	1	yes	characteristic
1196	#380	C₂³	1	2	yes	—
1197	#380	C₂³	1	2	yes	—
1198	#380	C₂³	1	1	yes	characteristic
1199	#380	C₂³	1	1	yes	characteristic
1200	#380	C₂³	1	1	yes	characteristic
1201	#380	C₂³	1	1	yes	characteristic
1202	#380	C₂³	1	1	yes	characteristic
1203	#380	C₂³	1	2	yes	—
1204	#380	C₂³	1	1	yes	characteristic
1205	#380	C₂³	1	1	yes	characteristic
1206	#380	C₂³	1	1	yes	characteristic
1207	#380	C₂³	1	1	yes	characteristic
1208	#380	C₂³	1	1	yes	characteristic
1209	#380	C₂³	1	2	yes	—
1210	#380	C₂³	1	2	yes	—
1211	#380	C₂³	1	1	yes	characteristic
1212	#380	C₂³	1	1	yes	characteristic
1213	#380	C₂³	1	1	yes	characteristic
1214	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1215	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1216	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
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	2	yes	—
1221	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1222	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1223	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1224	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1225	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1226	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1227	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1228	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1229	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1230	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1231	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1232	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1233	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1234	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1235	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1236	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1237	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1238	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1239	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1240	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1241	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1242	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1243	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1244	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1245	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1246	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1247	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1248	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1249	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1250	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1251	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1252	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1253	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1254	C₄×C₄⋊C₄	C₂³	1	2	yes	—
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	1	yes	characteristic
1265	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
1275	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
1282	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
1283	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
1284	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
1285	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
1286	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
1287	#376	C₂³	1	1	yes	characteristic
1288	#376	C₂³	1	2	yes	—
1289	#376	C₂³	1	1	yes	characteristic
1290	#376	C₂³	1	2	yes	—
1291	#376	C₂³	1	2	yes	—
1292	C₂×#95	C₂³	1	2	yes	—
1293	C₂×#95	C₂³	1	2	yes	—
1294	C₂×#95	C₂³	1	1	yes	characteristic
1295	C₂×#95	C₂³	1	2	yes	—
1296	C₂×#95	C₂³	1	2	yes	—
1297	C₂×#95	C₂³	1	2	yes	—
1298	C₂×#95	C₂³	1	1	yes	characteristic
1299	C₄³	C₂³	1	1	yes	characteristic
1300	C₂²×Q₈	—	4	4	no	—
1301	C₂²×Q₈	—	4	4	no	—
1302	C₂²×Q₈	—	4	4	no	—
1303	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
1304	C₂²×Q₈	C₂⁴	1	2	yes	—
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×D₄	C₂⁴	1	1	yes	characteristic
1312	C₂²×D₄	C₂⁴	1	1	yes	characteristic
1313	C₂²×D₄	C₂⁴	1	1	yes	characteristic
1314	C₂²×D₄	C₂⁴	1	1	yes	characteristic
1315	C₂²×D₄	C₂⁴	1	1	yes	characteristic
1316	C₂²×D₄	C₂⁴	1	1	yes	characteristic
1317	C₂³×C₄	C₂⁴	1	2	yes	—
1318	C₂³×C₄	C₂⁴	1	1	yes	characteristic
1319	C₂³×C₄	C₂⁴	1	1	yes	characteristic
1320	C₂³×C₄	C₂⁴	1	1	yes	characteristic
1321	C₂³×C₄	C₂⁴	1	2	yes	—
1322	C₂³×C₄	C₂⁴	1	1	yes	characteristic
1323	C₂³×C₄	C₂⁴	1	1	yes	characteristic
1324	C₂³×C₄	C₂⁴	1	1	yes	characteristic
1325	C₂³×C₄	C₂⁴	1	1	yes	characteristic
1326	C₂³×C₄	C₂⁴	1	1	yes	characteristic
1327	C₂³×C₄	C₂⁴	1	1	yes	characteristic
1328	C₂³×C₄	C₂⁴	1	2	yes	—
1329	C₂³×C₄	C₂⁴	1	1	yes	characteristic
1330	C₂³×C₄	C₂⁴	1	2	yes	—
1331	C₂³×C₄	C₂⁴	1	2	yes	—
1332	C₂³×C₄	C₂⁴	1	1	yes	characteristic
1333	C₂³×C₄	C₂⁴	1	1	yes	characteristic
1334	C₂³×C₄	C₂⁴	1	2	yes	—
1335	C₄⋊Q₈	—	2	4	no	—
1336	C₄⋊Q₈	—	2	4	no	—
1337	C₄⋊Q₈	—	4	2	no	—
1338	C₄⋊Q₈	—	4	2	no	—
1339	C₄⋊Q₈	—	4	2	no	—
1340	C₄⋊Q₈	—	4	4	no	—
1341	C₄⋊Q₈	—	4	2	no	—
1342	C₄⋊Q₈	—	4	2	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	#126	—	4	4	no	—
1348	#126	—	4	4	no	—
1349	#126	—	4	4	no	—
1350	#125	—	2	4	no	—
1351	#125	—	2	4	no	—
1352	#125	—	2	4	no	—
1353	#125	—	2	4	no	—
1354	#125	—	4	2	no	—
1355	#125	—	4	2	no	—
1356	#125	—	4	4	no	—
1357	#125	—	4	2	no	—
1358	#125	—	4	4	no	—
1359	#125	—	4	4	no	—
1360	#125	—	4	4	no	—
1361	#125	—	4	2	no	—
1362	#125	—	4	4	no	—
1363	#125	—	4	4	no	—
1364	#124	—	4	4	no	—
1365	#124	—	4	4	no	—
1366	#123	—	4	4	no	—
1367	#123	—	4	4	no	—
1368	#123	—	4	4	no	—
1369	#123	—	4	4	no	—
1370	C₂²⋊Q₈	—	2	4	no	—
1371	C₂²⋊Q₈	—	2	4	no	—
1372	C₂²⋊Q₈	—	4	4	no	—
1373	C₂²⋊Q₈	—	4	4	no	—
1374	C₂²⋊Q₈	—	4	4	no	—
1375	C₂²⋊Q₈	—	4	4	no	—
1376	C₂²⋊Q₈	—	4	4	no	—
1377	C₂²⋊Q₈	—	4	4	no	—
1378	C₂²⋊Q₈	—	4	4	no	—
1379	C₂²⋊Q₈	—	4	4	no	—
1380	C₂²⋊Q₈	—	4	2	no	—
1381	C₂²⋊Q₈	—	4	2	no	—
1382	#121	—	4	2	no	—
1383	#121	—	4	2	no	—
1384	#121	—	4	2	no	—
1385	#121	—	4	2	no	—
1386	C₄×Q₈	—	2	4	no	—
1387	C₄×Q₈	—	4	4	no	—
1388	C₄×Q₈	—	4	2	no	—
1389	C₄×Q₈	—	4	2	no	—
1390	C₄×Q₈	—	4	4	no	—
1391	C₄×D₄	—	2	4	no	—
1392	C₄×D₄	—	2	4	no	—
1393	C₄×D₄	—	2	4	no	—
1394	C₄×D₄	—	2	4	no	—
1395	C₄×D₄	—	4	2	no	—
1396	C₄×D₄	—	4	2	no	—
1397	C₄×D₄	—	4	2	no	—
1398	C₄×D₄	—	4	2	no	—
1399	C₄×D₄	—	4	4	no	—
1400	C₄×D₄	—	4	4	no	—
1401	#117	—	2	4	no	—
1402	#117	—	4	2	no	—
1403	#117	—	4	2	no	—
1404	#117	—	4	2	no	—
1405	#117	—	4	2	no	—
1406	#117	—	4	4	no	—
1407	#117	—	4	2	no	—
1408	C₂×C₄⋊C₄	—	2	4	no	—
1409	C₂×C₄⋊C₄	—	2	4	no	—
1410	C₂×C₄⋊C₄	—	2	4	no	—
1411	C₂×C₄⋊C₄	—	4	2	no	—
1412	C₂×C₄⋊C₄	—	4	2	no	—
1413	C₂×C₄⋊C₄	—	4	4	no	—
1414	C₂×C₄⋊C₄	—	4	4	no	—
1415	C₂×C₄⋊C₄	—	4	2	no	—
1416	C₂×C₄⋊C₄	—	4	4	no	—
1417	C₂×C₄⋊C₄	—	4	2	no	—
1418	C₂×C₄⋊C₄	—	4	4	no	—
1419	C₂×C₄⋊C₄	—	4	2	no	—
1420	C₂×C₄⋊C₄	—	4	4	no	—
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	2	yes	—
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	2	yes	—
1430	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1431	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1432	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1433	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1434	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1435	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1436	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1437	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1438	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1439	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1440	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1441	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1442	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
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	1	yes	characteristic
1448	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1449	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1450	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1451	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1452	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1453	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1454	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1455	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1456	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1457	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
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	2	yes	—
1462	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
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	1	yes	characteristic
1470	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1471	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1472	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1473	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1474	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1475	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1476	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1477	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1478	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1479	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1480	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1481	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1482	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
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	1	yes	characteristic
1488	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1489	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1490	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
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	2	yes	—
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	1	yes	characteristic
1499	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1500	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1501	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
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	2	yes	—
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	2	yes	—
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	2	yes	—
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	2	yes	—
1527	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1528	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1529	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1530	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1531	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1532	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1533	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1534	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1535	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
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	2	yes	—
1540	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1541	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1542	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1543	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1544	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1545	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1546	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1547	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1548	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1549	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1550	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1551	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1552	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1553	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1554	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1555	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1556	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1557	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1558	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1559	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1560	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1561	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1562	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1563	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1564	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
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	1	yes	characteristic
1569	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1570	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
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	1	yes	characteristic
1576	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1577	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1578	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1579	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1580	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1581	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
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	2	yes	—
1587	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
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	2	yes	—
1592	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1593	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1594	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1595	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1596	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1597	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1598	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1599	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1600	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1601	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1602	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1603	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1604	C₂×C₄²	—	2	4	no	—
1605	C₂×C₄²	—	2	4	no	—
1606	C₂×C₄²	—	4	2	no	—
1607	C₂×C₄²	—	4	2	no	—
1608	C₂×C₄²	—	4	4	no	—
1609	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1610	C₂×C₄²	C₂⁴	1	2	yes	—
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	2	yes	—
1619	C₂×C₄²	C₂⁴	1	2	yes	—
1620	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1621	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1622	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1623	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1624	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1625	C₂×C₄²	C₂⁴	1	1	yes	characteristic
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	1	yes	characteristic
1631	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1632	C₂×C₄²	C₂⁴	1	2	yes	—
1633	C₂×C₄²	C₂⁴	1	2	yes	—
1634	C₂×C₄²	C₂⁴	1	2	yes	—
1635	C₂×C₄²	C₂⁴	1	2	yes	—
1636	C₂×C₄²	C₂⁴	1	2	yes	—
1637	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1638	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1639	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1640	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1641	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1642	C₂×C₄²	C₂⁴	1	2	yes	—
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	2	yes	—
1648	C₂×C₄²	C₂⁴	1	2	yes	—
1649	C₂×C₄²	C₂⁴	1	2	yes	—
1650	C₂×C₄²	C₂⁴	1	2	yes	—
1651	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1652	#95	C₂⁴	1	2	yes	—
1653	#95	C₂⁴	1	1	yes	characteristic
1654	#95	C₂⁴	1	2	yes	—
1655	#95	C₂⁴	1	2	yes	—
1656	#95	C₂⁴	1	2	yes	—
1657	#95	C₂⁴	1	1	yes	characteristic
1658	#95	C₂⁴	1	1	yes	characteristic
1659	#95	C₂⁴	1	2	yes	—
1660	#95	C₂⁴	1	1	yes	characteristic
1661	#95	C₂⁴	1	2	yes	—
1662	#95	C₂⁴	1	1	yes	characteristic
1663	#95	C₂⁴	1	1	yes	characteristic
1664	#95	C₂⁴	1	1	yes	characteristic
1665	#95	C₂⁴	1	1	yes	characteristic
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	2	yes	—
1674	#95	C₂⁴	1	2	yes	—
1675	#95	C₂⁴	1	2	yes	—
1676	#95	C₂⁴	1	2	yes	—
1677	#95	C₂⁴	1	2	yes	—
1678	#95	C₂⁴	1	2	yes	—
1679	#95	C₂⁴	1	2	yes	—
1680	#95	C₂⁴	1	1	yes	characteristic
1681	#95	C₂⁴	1	2	yes	—
1682	#95	C₂⁴	1	2	yes	—
1683	#95	C₂⁴	1	2	yes	—
1684	#95	C₂⁴	1	2	yes	—
1685	#95	C₂⁴	1	2	yes	—
1686	#95	C₂⁴	1	1	yes	characteristic
1687	#95	C₂⁴	1	1	yes	characteristic
1688	#95	C₂⁴	1	1	yes	characteristic
1689	#95	C₂⁴	1	1	yes	characteristic
1690	#95	C₂⁴	1	2	yes	—
1691	#95	C₂⁴	1	2	yes	—
1692	#95	C₂⁴	1	2	yes	—
1693	#95	C₂⁴	1	1	yes	characteristic
1694	#95	C₂⁴	1	1	yes	characteristic
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	1	yes	characteristic
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	1	yes	characteristic
1704	#95	C₂⁴	1	1	yes	characteristic
1705	#95	C₂⁴	1	2	yes	—
1706	#95	C₂⁴	1	1	yes	characteristic
1707	#95	C₂⁴	1	2	yes	—
1708	#95	C₂⁴	1	2	yes	—
1709	#95	C₂⁴	1	1	yes	characteristic
1710	#95	C₂⁴	1	1	yes	characteristic
1711	#95	C₂⁴	1	1	yes	characteristic
1712	#95	C₂⁴	1	2	yes	—
1713	#95	C₂⁴	1	2	yes	—
1714	#95	C₂⁴	1	1	yes	characteristic
1715	#95	C₂⁴	1	1	yes	characteristic
1716	#95	C₂⁴	1	1	yes	characteristic
1717	#95	C₂⁴	1	2	yes	—
1718	#95	C₂⁴	1	1	yes	characteristic
1719	#95	C₂⁴	1	2	yes	—
1720	#95	C₂⁴	1	1	yes	characteristic
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	2	yes	—
1727	#95	C₂⁴	1	2	yes	—
1728	#95	C₂⁴	1	1	yes	characteristic
1729	#95	C₂⁴	1	2	yes	—
1730	#95	C₂⁴	1	2	yes	—
1731	#95	C₂⁴	1	1	yes	characteristic
1732	#95	C₂⁴	1	2	yes	—
1733	#95	C₂⁴	1	2	yes	—
1734	#95	C₂⁴	1	2	yes	—
1735	#95	C₂⁴	1	1	yes	characteristic
1736	#95	C₂⁴	1	1	yes	characteristic
1737	#95	C₂⁴	1	2	yes	—
1738	#95	C₂⁴	1	1	yes	characteristic
1739	#95	C₂⁴	1	2	yes	—
1740	#95	C₂⁴	1	1	yes	characteristic
1741	#95	C₂⁴	1	1	yes	characteristic
1742	#95	C₂⁴	1	2	yes	—
1743	#95	C₂⁴	1	2	yes	—
1744	#95	C₂⁴	1	1	yes	characteristic
1745	#95	C₂⁴	1	1	yes	characteristic
1746	#95	C₂⁴	1	2	yes	—
1747	#95	C₂⁴	1	2	yes	—
1748	#95	C₂⁴	1	2	yes	—
1749	#95	C₂⁴	1	2	yes	—
1750	#95	C₂⁴	1	2	yes	—
1751	#95	C₂⁴	1	2	yes	—
1752	#95	C₂⁴	1	2	yes	—
1753	#95	C₂⁴	1	2	yes	—
1754	#95	C₂⁴	1	2	yes	—
1755	#95	C₂⁴	1	2	yes	—
1756	#95	C₂⁴	1	2	yes	—
1757	#95	C₂⁴	1	2	yes	—
1758	#95	C₂⁴	1	2	yes	—
1759	#95	C₂⁴	1	2	yes	—
1760	#95	C₂⁴	1	2	yes	—
1761	#95	C₂⁴	1	1	yes	characteristic
1762	#95	C₂⁴	1	1	yes	characteristic
1763	#95	C₂⁴	1	1	yes	characteristic
1764	#95	C₂⁴	1	2	yes	—
1765	#95	C₂⁴	1	1	yes	characteristic
1766	#95	C₂⁴	1	2	yes	—
1767	#95	C₂⁴	1	1	yes	characteristic
1768	#95	C₂⁴	1	2	yes	—
1769	#95	C₂⁴	1	2	yes	—
1770	#95	C₂⁴	1	2	yes	—
1771	#95	C₂⁴	1	2	yes	—
1772	#95	C₂⁴	1	2	yes	—
1773	#95	C₂⁴	1	2	yes	—
1774	#95	C₂⁴	1	2	yes	—
1775	#95	C₂⁴	1	2	yes	—
1776	#95	C₂⁴	1	2	yes	—
1777	#95	C₂⁴	1	2	yes	—
1778	#95	C₂⁴	1	2	yes	—
1779	#95	C₂⁴	1	2	yes	—
1780	#95	C₂⁴	1	1	yes	characteristic
1781	#95	C₂⁴	1	2	yes	—
1782	#95	C₂⁴	1	1	yes	characteristic
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	#95	C₂⁴	1	2	yes	—
1802	#95	C₂⁴	1	2	yes	—
1803	#95	C₂⁴	1	2	yes	—
1804	#95	C₂⁴	1	2	yes	—
1805	C₂⁴	C₂⁵	1	1	yes	characteristic
1806	C₂⁴	C₂⁵	1	1	yes	characteristic
1807	C₂⁴	C₂⁵	1	1	yes	characteristic
1808	C₂⁴	C₂⁵	1	1	yes	characteristic
1809	C₂×Q₈	—	2	2	no	—
1810	C₂×Q₈	—	2	4	no	—
1811	C₂×Q₈	—	2	4	no	—
1812	C₂×Q₈	—	2	2	no	—
1813	C₂×Q₈	—	2	2	no	—
1814	C₂×Q₈	—	2	4	no	—
1815	C₂×Q₈	—	2	4	no	—
1816	C₂×Q₈	—	4	2	no	—
1817	C₂×Q₈	—	4	2	no	—
1818	C₂×Q₈	—	4	2	no	—
1819	C₂×Q₈	—	4	2	no	—
1820	C₂×Q₈	—	4	2	no	—
1821	C₂×Q₈	—	4	2	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	2	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	2	no	—
1833	C₂×Q₈	—	8	16	no	—
1834	C₂×D₄	—	2	2	no	—
1835	C₂×D₄	—	2	2	no	—
1836	C₂×D₄	—	2	2	no	—
1837	C₂×D₄	—	2	2	no	—
1838	C₂×D₄	—	2	2	no	—
1839	C₂×D₄	—	2	2	no	—
1840	C₂×D₄	—	2	2	no	—
1841	C₂×D₄	—	2	2	no	—
1842	C₂×D₄	—	2	2	no	—
1843	C₂×D₄	—	2	2	no	—
1844	C₂×D₄	—	2	2	no	—
1845	C₂×D₄	—	4	1	no	—
1846	C₂×D₄	—	4	1	no	—
1847	C₂×D₄	—	4	1	no	—
1848	C₂×D₄	—	4	1	no	—
1849	C₂×D₄	—	4	1	no	—
1850	C₂×D₄	—	4	1	no	—
1851	C₂×D₄	—	4	1	no	—
1852	C₂²×C₄	—	2	2	no	—
1853	C₂²×C₄	—	2	2	no	—
1854	C₂²×C₄	—	2	4	no	—
1855	C₂²×C₄	—	2	2	no	—
1856	C₂²×C₄	—	2	4	no	—
1857	C₂²×C₄	—	2	4	no	—
1858	C₂²×C₄	—	2	2	no	—
1859	C₂²×C₄	—	2	2	no	—
1860	C₂²×C₄	—	2	4	no	—
1861	C₂²×C₄	—	2	2	no	—
1862	C₂²×C₄	—	2	2	no	—
1863	C₂²×C₄	—	2	4	no	—
1864	C₂²×C₄	—	2	2	no	—
1865	C₂²×C₄	—	2	4	no	—
1866	C₂²×C₄	—	2	4	no	—
1867	C₂²×C₄	—	2	2	no	—
1868	C₂²×C₄	—	2	2	no	—
1869	C₂²×C₄	—	2	2	no	—
1870	C₂²×C₄	—	2	2	no	—
1871	C₂²×C₄	—	2	2	no	—
1872	C₂²×C₄	—	2	2	no	—
1873	C₂²×C₄	—	2	2	no	—
1874	C₂²×C₄	—	2	2	no	—
1875	C₂²×C₄	—	2	2	no	—
1876	C₂²×C₄	—	2	2	no	—
1877	C₂²×C₄	—	2	2	no	—
1878	C₂²×C₄	—	2	2	no	—
1879	C₂²×C₄	—	2	4	no	—
1880	C₂²×C₄	—	2	2	no	—
1881	C₂²×C₄	—	2	2	no	—
1882	C₂²×C₄	—	4	1	no	—
1883	C₂²×C₄	—	4	1	no	—
1884	C₂²×C₄	—	4	1	no	—
1885	C₂²×C₄	—	4	1	no	—
1886	C₂²×C₄	—	4	1	no	—
1887	C₂²×C₄	—	4	2	no	—
1888	C₂²×C₄	—	4	1	no	—
1889	C₂²×C₄	—	4	1	no	—
1890	C₂²×C₄	—	4	2	no	—
1891	C₂²×C₄	—	4	2	no	—
1892	C₂²×C₄	—	4	1	no	—
1893	C₂²×C₄	—	4	1	no	—
1894	C₂²×C₄	—	4	2	no	—
1895	C₂²×C₄	—	4	1	no	—
1896	C₂²×C₄	—	4	1	no	—
1897	C₂²×C₄	—	4	2	no	—
1898	C₂²×C₄	—	4	1	no	—
1899	C₂²×C₄	—	4	1	no	—
1900	C₂²×C₄	—	4	2	no	—
1901	C₂²×C₄	—	4	2	no	—
1902	C₂²×C₄	—	4	2	no	—
1903	C₂²×C₄	—	4	2	no	—
1904	C₂²×C₄	—	4	2	no	—
1905	C₂²×C₄	2₋¹⁺⁴	1	4	yes	—
1906	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1907	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1908	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1909	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1910	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1911	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1912	C₂²×C₄	C₂⁵	1	2	yes	—
1913	C₂²×C₄	C₂⁵	1	2	yes	—
1914	C₂²×C₄	C₂⁵	1	2	yes	—
1915	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1916	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1917	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1918	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1919	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1920	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1921	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1922	C₂²×C₄	C₂⁵	1	2	yes	—
1923	C₂²×C₄	C₂⁵	1	2	yes	—
1924	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1925	C₂²×C₄	C₂⁵	1	2	yes	—
1926	C₂²×C₄	C₂⁵	1	2	yes	—
1927	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1928	C₂²×C₄	C₂⁵	1	2	yes	—
1929	C₂²×C₄	C₂⁵	1	2	yes	—
1930	C₂²×C₄	C₂⁵	1	2	yes	—
1931	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1932	C₂²×C₄	C₂⁵	1	2	yes	—
1933	C₂²×C₄	C₂⁵	1	2	yes	—
1934	C₂²×C₄	C₂⁵	1	2	yes	—
1935	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1936	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1937	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1938	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1939	C₂²×C₄	C₂⁵	1	2	yes	—
1940	C₂²×C₄	C₂⁵	1	2	yes	—
1941	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1942	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1943	C₂²×C₄	C₂⁵	1	2	yes	—
1944	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1945	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1946	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1947	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1948	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1949	C₄⋊C₄	—	2	2	no	—
1950	C₄⋊C₄	—	2	4	no	—
1951	C₄⋊C₄	—	2	4	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	4	no	—
1957	C₄⋊C₄	—	2	2	no	—
1958	C₄⋊C₄	—	2	2	no	—
1959	C₄⋊C₄	—	2	4	no	—
1960	C₄⋊C₄	—	2	4	no	—
1961	C₄⋊C₄	—	2	4	no	—
1962	C₄⋊C₄	—	2	4	no	—
1963	C₄⋊C₄	—	2	4	no	—
1964	C₄⋊C₄	—	2	2	no	—
1965	C₄⋊C₄	—	2	4	no	—
1966	C₄⋊C₄	—	2	4	no	—
1967	C₄⋊C₄	—	2	4	no	—
1968	C₄⋊C₄	—	2	4	no	—
1969	C₄⋊C₄	—	2	2	no	—
1970	C₄⋊C₄	—	2	2	no	—
1971	C₄⋊C₄	—	2	2	no	—
1972	C₄⋊C₄	—	2	2	no	—
1973	C₄⋊C₄	—	2	2	no	—
1974	C₄⋊C₄	—	2	2	no	—
1975	C₄⋊C₄	—	2	2	no	—
1976	C₄⋊C₄	—	2	4	no	—
1977	C₄⋊C₄	—	2	2	no	—
1978	C₄⋊C₄	—	2	4	no	—
1979	C₄⋊C₄	—	2	4	no	—
1980	C₄⋊C₄	—	2	4	no	—
1981	C₄⋊C₄	—	2	2	no	—
1982	C₄⋊C₄	—	2	2	no	—
1983	C₄⋊C₄	—	2	2	no	—
1984	C₄⋊C₄	—	2	2	no	—
1985	C₄⋊C₄	—	2	2	no	—
1986	C₄⋊C₄	—	2	4	no	—
1987	C₄⋊C₄	—	2	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	2	no	—
1993	C₄⋊C₄	—	4	2	no	—
1994	C₄⋊C₄	—	4	2	no	—
1995	C₄⋊C₄	—	4	2	no	—
1996	C₄⋊C₄	—	4	2	no	—
1997	C₄⋊C₄	—	4	1	no	—
1998	C₄⋊C₄	—	4	1	no	—
1999	C₄⋊C₄	—	4	2	no	—
2000	C₄⋊C₄	—	4	2	no	—
2001	C₄⋊C₄	—	4	1	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	2	no	—
2008	C₄⋊C₄	—	4	2	no	—
2009	C₄⋊C₄	—	4	2	no	—
2010	C₄⋊C₄	—	4	2	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	2	no	—
2017	C₄⋊C₄	—	4	2	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	1	no	—
2024	C₄⋊C₄	—	4	2	no	—
2025	C₄⋊C₄	—	4	2	no	—
2026	C₄⋊C₄	—	4	1	no	—
2027	C₄⋊C₄	—	4	1	no	—
2028	C₄⋊C₄	—	4	1	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	2	no	—
2034	C₄⋊C₄	—	4	1	no	—
2035	C₄⋊C₄	—	4	1	no	—
2036	C₄⋊C₄	—	4	1	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	2	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	2	no	—
2053	C₄⋊C₄	—	4	2	no	—
2054	C₄⋊C₄	—	4	2	no	—
2055	C₄⋊C₄	—	4	2	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	1	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	1	no	—
2066	C₄⋊C₄	—	4	1	no	—
2067	C₄⋊C₄	—	4	2	no	—
2068	C₄⋊C₄	—	4	2	no	—
2069	C₄⋊C₄	H(5,𝔽₂)	1	4	yes	—
2070	C₂²⋊C₄	—	2	2	no	—
2071	C₂²⋊C₄	—	2	2	no	—
2072	C₂²⋊C₄	—	2	2	no	—
2073	C₂²⋊C₄	—	2	4	no	—
2074	C₂²⋊C₄	—	2	2	no	—
2075	C₂²⋊C₄	—	2	2	no	—
2076	C₂²⋊C₄	—	2	4	no	—
2077	C₂²⋊C₄	—	2	4	no	—
2078	C₂²⋊C₄	—	2	4	no	—
2079	C₂²⋊C₄	—	2	4	no	—
2080	C₂²⋊C₄	—	2	4	no	—
2081	C₂²⋊C₄	—	2	2	no	—
2082	C₂²⋊C₄	—	2	2	no	—
2083	C₂²⋊C₄	—	2	2	no	—
2084	C₂²⋊C₄	—	2	2	no	—
2085	C₂²⋊C₄	—	2	2	no	—
2086	C₂²⋊C₄	—	2	2	no	—
2087	C₂²⋊C₄	—	4	1	no	—
2088	C₂²⋊C₄	—	4	1	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	1	no	—
2094	C₂²⋊C₄	—	4	1	no	—
2095	C₂²⋊C₄	—	4	1	no	—
2096	C₂²⋊C₄	—	4	1	no	—
2097	C₂²⋊C₄	—	4	1	no	—
2098	C₂²⋊C₄	—	4	1	no	—
2099	C₂²⋊C₄	—	4	1	no	—
2100	C₂²⋊C₄	—	4	1	no	—
2101	C₂²⋊C₄	—	4	1	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	1	no	—
2107	C₂²⋊C₄	—	4	2	no	—
2108	C₂²⋊C₄	—	4	2	no	—
2109	C₂²⋊C₄	—	4	1	no	—
2110	C₂²⋊C₄	—	4	1	no	—
2111	C₂²⋊C₄	—	4	1	no	—
2112	C₂²⋊C₄	—	4	1	no	—
2113	C₂²⋊C₄	—	4	1	no	—
2114	C₂²⋊C₄	—	4	1	no	—
2115	C₂²⋊C₄	—	4	1	no	—
2116	C₂²⋊C₄	—	4	1	no	—
2117	C₂²⋊C₄	—	4	1	no	—
2118	C₂²⋊C₄	—	4	1	no	—
2119	C₂²⋊C₄	—	4	1	no	—
2120	C₂²⋊C₄	—	4	2	no	—
2121	C₂²⋊C₄	—	4	2	no	—
2122	C₂²⋊C₄	—	4	2	no	—
2123	C₂²⋊C₄	—	4	2	no	—
2124	C₂²⋊C₄	—	4	2	no	—
2125	C₂²⋊C₄	—	4	2	no	—
2126	C₂²⋊C₄	—	4	2	no	—
2127	C₂²⋊C₄	—	4	2	no	—
2128	C₂²⋊C₄	—	4	2	no	—
2129	C₂²⋊C₄	—	4	2	no	—
2130	C₂²⋊C₄	—	4	2	no	—
2131	C₂²⋊C₄	—	4	2	no	—
2132	C₄²	—	2	2	no	—
2133	C₄²	—	2	2	no	—
2134	C₄²	—	2	2	no	—
2135	C₄²	—	2	2	no	—
2136	C₄²	—	2	4	no	—
2137	C₄²	—	2	2	no	—
2138	C₄²	—	2	2	no	—
2139	C₄²	—	2	2	no	—
2140	C₄²	—	2	2	no	—
2141	C₄²	—	2	2	no	—
2142	C₄²	—	2	2	no	—
2143	C₄²	—	2	2	no	—
2144	C₄²	—	2	2	no	—
2145	C₄²	—	2	2	no	—
2146	C₄²	—	2	2	no	—
2147	C₄²	—	2	4	no	—
2148	C₄²	—	2	4	no	—
2149	C₄²	—	4	2	no	—
2150	C₄²	—	4	2	no	—
2151	C₄²	—	4	2	no	—
2152	C₄²	—	4	2	no	—
2153	C₄²	—	4	1	no	—
2154	C₄²	—	4	1	no	—
2155	C₄²	—	4	1	no	—
2156	C₄²	—	4	1	no	—
2157	C₄²	—	4	1	no	—
2158	C₄²	—	4	2	no	—
2159	C₄²	—	4	2	no	—
2160	C₄²	—	4	2	no	—
2161	C₄²	—	4	2	no	—
2162	C₄²	—	4	2	no	—
2163	C₄²	—	4	2	no	—
2164	C₄²	—	4	2	no	—
2165	C₄²	—	4	1	no	—
2166	C₄²	—	4	2	no	—
2167	C₄²	—	4	1	no	—
2168	C₄²	—	4	2	no	—
2169	C₄²	—	4	2	no	—
2170	C₄²	—	4	2	no	—
2171	C₄²	—	4	2	no	—
2172	C₄²	—	4	1	no	—
2173	C₄²	—	4	2	no	—
2174	C₄²	2₋¹⁺⁴	1	4	yes	—
2175	C₂³	—	2	1	no	—
2176	C₂³	—	2	1	no	—
2177	C₂³	—	2	1	no	—
2178	C₂³	—	2	1	no	—
2179	C₂³	—	2	1	no	—
2180	C₂³	—	2	1	no	—
2181	C₂³	—	2	1	no	—
2182	C₂³	—	2	1	no	—
2183	C₂³	—	2	1	no	—
2184	C₂³	—	2	1	no	—
2185	C₂³	—	2	1	no	—
2186	C₂³	—	2	1	no	—
2187	C₂³	—	2	1	no	—
2188	C₂³	—	2	1	no	—
2189	C₂³	—	2	1	no	—
2190	C₂³	—	2	1	no	—
2191	C₂³	—	2	1	no	—
2192	C₂³	—	2	1	no	—
2193	C₂³	—	2	1	no	—
2194	C₂³	—	2	1	no	—
2195	C₂³	—	2	1	no	—
2196	C₂³	—	2	1	no	—
2197	C₂³	—	2	1	no	—
2198	C₂³	—	2	1	no	—
2199	C₂³	—	2	1	no	—
2200	C₂³	C₂×2₋¹⁺⁴	1	2	yes	—
2201	C₂³	#585	1	2	yes	—
2202	C₂³	#585	1	2	yes	—
2203	C₂³	C₂⁶	1	1	yes	characteristic
2204	Q₈	—	4	8	no	—
2205	Q₈	—	4	4	no	—
2206	Q₈	—	8	4	no	—
2207	Q₈	—	8	4	no	—
2208	Q₈	—	8	4	no	—
2209	Q₈	—	16	2	no	—
2210	Q₈	—	16	2	no	—
2211	Q₈	—	16	2	no	—
2212	D₄	—	4	4	no	—
2213	D₄	—	4	4	no	—
2214	D₄	—	4	4	no	—
2215	D₄	—	8	2	no	—
2216	D₄	—	8	2	no	—
2217	D₄	—	8	2	no	—
2218	C₂×C₄	—	2	1	no	—
2219	C₂×C₄	—	2	1	no	—
2220	C₂×C₄	—	2	1	no	—
2221	C₂×C₄	—	2	1	no	—
2222	C₂×C₄	—	2	2	no	—
2223	C₂×C₄	—	2	1	no	—
2224	C₂×C₄	—	2	1	no	—
2225	C₂×C₄	—	2	2	no	—
2226	C₂×C₄	—	2	1	no	—
2227	C₂×C₄	—	2	1	no	—
2228	C₂×C₄	—	2	8	no	—
2229	C₂×C₄	—	2	1	no	—
2230	C₂×C₄	—	2	1	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	1	no	—
2236	C₂×C₄	—	2	1	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	2	no	—
2242	C₂×C₄	—	2	1	no	—
2243	C₂×C₄	—	2	2	no	—
2244	C₂×C₄	—	2	2	no	—
2245	C₂×C₄	—	2	2	no	—
2246	C₂×C₄	—	2	2	no	—
2247	C₂×C₄	—	2	2	no	—
2248	C₂×C₄	—	2	2	no	—
2249	C₂×C₄	—	2	2	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	1	no	—
2262	C₂×C₄	—	2	2	no	—
2263	C₂×C₄	—	2	2	no	—
2264	C₂×C₄	—	2	1	no	—
2265	C₂×C₄	—	2	1	no	—
2266	C₂×C₄	—	2	1	no	—
2267	C₂×C₄	—	2	1	no	—
2268	C₂×C₄	—	2	1	no	—
2269	C₂×C₄	—	2	2	no	—
2270	C₂×C₄	—	2	2	no	—
2271	C₂×C₄	—	2	2	no	—
2272	C₂×C₄	—	2	2	no	—
2273	C₂×C₄	—	2	2	no	—
2274	C₂×C₄	—	2	2	no	—
2275	C₂×C₄	—	2	2	no	—
2276	C₂×C₄	—	2	1	no	—
2277	C₂×C₄	—	2	1	no	—
2278	C₂×C₄	—	2	2	no	—
2279	C₂×C₄	—	2	2	no	—
2280	C₂×C₄	—	2	1	no	—
2281	C₂×C₄	—	2	1	no	—
2282	C₂×C₄	—	2	2	no	—
2283	C₂×C₄	—	2	1	no	—
2284	C₂×C₄	—	2	1	no	—
2285	C₂×C₄	—	2	2	no	—
2286	C₂×C₄	—	2	2	no	—
2287	C₂×C₄	—	2	1	no	—
2288	C₂×C₄	—	2	1	no	—
2289	C₂×C₄	—	2	1	no	—
2290	C₂×C₄	—	2	2	no	—
2291	C₂×C₄	—	2	2	no	—
2292	C₂×C₄	—	2	2	no	—
2293	C₂×C₄	—	2	1	no	—
2294	C₂×C₄	—	2	1	no	—
2295	C₂×C₄	—	2	2	no	—
2296	C₂×C₄	—	2	2	no	—
2297	C₂×C₄	—	2	1	no	—
2298	C₂×C₄	—	2	2	no	—
2299	C₂×C₄	—	2	2	no	—
2300	C₂×C₄	—	2	2	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	2	no	—
2306	C₂×C₄	—	2	1	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	2	no	—
2316	C₂×C₄	—	2	1	no	—
2317	C₂×C₄	—	2	1	no	—
2318	C₂×C₄	—	2	1	no	—
2319	C₂×C₄	—	2	1	no	—
2320	C₂×C₄	—	2	2	no	—
2321	C₂×C₄	—	2	1	no	—
2322	C₂×C₄	—	2	2	no	—
2323	C₂×C₄	—	2	1	no	—
2324	C₂×C₄	—	2	1	no	—
2325	C₂×C₄	—	2	2	no	—
2326	C₂×C₄	—	2	2	no	—
2327	C₂×C₄	—	2	1	no	—
2328	C₂×C₄	—	2	2	no	—
2329	C₂×C₄	—	2	2	no	—
2330	C₂×C₄	—	2	1	no	—
2331	C₂×C₄	—	2	1	no	—
2332	C₂×C₄	—	2	1	no	—
2333	C₂×C₄	—	2	1	no	—
2334	C₂×C₄	—	2	1	no	—
2335	C₂×C₄	—	2	1	no	—
2336	C₂×C₄	—	2	2	no	—
2337	C₂×C₄	—	2	1	no	—
2338	C₂×C₄	—	2	1	no	—
2339	C₂×C₄	—	2	2	no	—
2340	C₂×C₄	—	4	4	no	—
2341	C₂×C₄	—	4	4	no	—
2342	C₂×C₄	—	4	8	no	—
2343	C₂×C₄	—	4	4	no	—
2344	C₂×C₄	—	4	4	no	—
2345	C₂×C₄	—	4	8	no	—
2346	C₂×C₄	—	4	4	no	—
2347	C₂×C₄	—	4	4	no	—
2348	C₂×C₄	—	4	4	no	—
2349	C₂×C₄	—	8	2	no	—
2350	C₂×C₄	—	8	4	no	—
2351	C₂×C₄	—	8	2	no	—
2352	C₂×C₄	—	8	2	no	—
2353	C₂×C₄	—	8	4	no	—
2354	C₂×C₄	—	8	2	no	—
2355	C₂×C₄	—	8	4	no	—
2356	C₂×C₄	—	16	2	no	—
2357	C₂×C₄	C₂×H(5,𝔽₂)	1	4	yes	—
2358	C₂×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
2359	C₂×C₄	C₂×2₋¹⁺⁴	1	2	yes	—
2360	C₂×C₄	C₂×2₋¹⁺⁴	1	2	yes	—
2361	C₂×C₄	C₂×2₋¹⁺⁴	1	2	yes	—
2362	C₂×C₄	C₂×2₋¹⁺⁴	1	2	yes	—
2363	C₂×C₄	C₂×2₋¹⁺⁴	1	2	yes	—
2364	C₂×C₄	#585	1	2	yes	—
2365	C₂²	—	2	2	no	—
2366	C₂²	—	2	2	no	—
2367	C₂²	—	2	2	no	—
2368	C₂²	—	2	2	no	—
2369	C₂²	—	2	2	no	—
2370	C₂²	—	2	2	no	—
2371	C₂²	—	4	1	no	—
2372	C₂²	—	4	1	no	—
2373	C₂²	—	4	1	no	—
2374	C₂²	—	4	1	no	—
2375	C₂²	—	4	1	no	—
2376	C₂²	—	4	1	no	—
2377	C₂²	—	4	1	no	—
2378	C₂²	—	4	1	no	—
2379	C₂²	—	4	1	no	—
2380	C₂²	—	4	1	no	—
2381	C₂²	—	4	1	no	—
2382	C₂²	—	4	1	no	—
2383	C₂²	—	4	1	no	—
2384	C₂²	—	4	1	no	—
2385	C₂²	—	4	1	no	—
2386	C₂²	—	4	1	no	—
2387	C₂²	—	4	1	no	—
2388	C₂²	—	4	1	no	—
2389	C₂²	—	4	1	no	—
2390	C₂²	—	4	1	no	—
2391	C₂²	—	4	1	no	—
2392	C₂²	#3565	1	4	yes	—
2393	C₂²	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
2394	C₂²	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
2395	C₂²	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
2396	C₂²	C₂×#585	1	1	yes	characteristic
2397	C₂²	C₂×#585	1	1	yes	characteristic
2398	C₂²	C₂×#585	1	1	yes	characteristic
2399	C₂²	2₋¹⁺⁶	1	1	yes	characteristic
2400	C₄	—	2	2	no	—
2401	C₄	—	2	2	no	—
2402	C₄	—	2	4	no	—
2403	C₄	—	2	2	no	—
2404	C₄	—	2	2	no	—
2405	C₄	—	4	2	no	—
2406	C₄	—	4	2	no	—
2407	C₄	—	4	1	no	—
2408	C₄	—	4	1	no	—
2409	C₄	—	4	1	no	—
2410	C₄	—	4	1	no	—
2411	C₄	—	4	1	no	—
2412	C₄	—	4	1	no	—
2413	C₄	—	4	2	no	—
2414	C₄	—	4	2	no	—
2415	C₄	—	4	2	no	—
2416	C₄	—	4	1	no	—
2417	C₄	—	4	1	no	—
2418	C₄	—	4	2	no	—
2419	C₄	—	4	1	no	—
2420	C₄	—	4	1	no	—
2421	C₄	—	4	1	no	—
2422	C₄	—	4	2	no	—
2423	C₄	—	4	2	no	—
2424	C₄	—	4	2	no	—
2425	C₄	—	4	1	no	—
2426	C₄	—	4	1	no	—
2427	C₄	—	4	1	no	—
2428	C₄	—	4	1	no	—
2429	C₄	—	4	2	no	—
2430	C₄	—	4	2	no	—
2431	C₄	—	4	1	no	—
2432	C₄	—	4	2	no	—
2433	C₄	—	4	2	no	—
2434	C₄	—	4	1	no	—
2435	C₄	—	4	2	no	—
2436	C₄	—	4	1	no	—
2437	C₄	—	4	1	no	—
2438	C₄	—	4	1	no	—
2439	C₄	—	4	1	no	—
2440	C₄	—	4	1	no	—
2441	C₄	—	4	2	no	—
2442	C₄	#3552	1	4	yes	—
2443	C₂	—	2	4	no	—
2444	C₂	—	8	1	no	—
2445	C₂	—	8	1	no	—
2446	C₂	—	8	1	no	—
2447	C₂	C₂×#3565	1	1	yes	characteristic
2448	C₂	C₂×#3552	1	1	yes	characteristic
2449	C₂	#62752	1	1	yes	characteristic
2450	C₂	#62919	1	1	yes	characteristic
2451	C₂	#62928	1	1	yes	characteristic
2452	C₂	#62956	1	1	yes	characteristic
2453	C₂	#63017	1	1	yes	characteristic

	subgroup	G/H
center, commutator, Frattini, socle, cosocle	C₂³	C₂⁶
prime radical	#2416	C₂²
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. #59587	C₂	semidirect
2. #59316	C₂	semidirect
3. #59309	C₂	semidirect
4. #59239	C₂	semidirect
5. #59140	C₂	semidirect
6. #59134	C₂	semidirect
7. #58697	C₂	semidirect
8. #58688	C₂	semidirect
9. #58682	C₂	semidirect
10. #58678	C₂	semidirect
11. #53093	C₂	semidirect
12. #53072	C₂	semidirect
13. #53048	C₂	semidirect
14. #53042	C₂	semidirect
15. #52830	C₂	semidirect
16. #52793	C₂	semidirect
17. #52377	C₂	semidirect
19. #42915	C₂	semidirect
20. #42764	C₂	semidirect
21. #42644	C₂	semidirect
22. #42546	C₂	semidirect
23. #42273	C₂	semidirect
24. #41766	C₂	semidirect
25. #40865	C₂	semidirect
26. #40547	C₂	semidirect
27. #39978	C₂	semidirect
28. #39904	C₂	semidirect
29. #39504	C₂	semidirect
30. #39366	C₂	semidirect
31. #39190	C₂	semidirect
32. #39153	C₂	semidirect
33. #38606	C₂	semidirect
34. #37979	C₂	semidirect
35. #37687	C₂	semidirect
36. #37686	C₂	semidirect
37. #37582	C₂	semidirect
38. #37567	C₂	semidirect
39. #37525	C₂	semidirect
40. #37503	C₂	semidirect
41. #37503	C₂	semidirect
42. #36571	C₂	semidirect
43. #36486	C₂	semidirect
44. #36191	C₂	semidirect
45. C₂×#2550	C₂	semidirect
47. #34780	C₂	semidirect

Maximal subgroups

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

subgroup	index
#59587	2
#59316	2
#59309	2
#59239	2
#59140	2
#59134	2
#58697	2
#58688	2
#58682	2
#58678	2
#53093	2
#53072	2
#53048	2
#53042	2
#52830	2
#52793	2
#52377	2
#52321	2
#42915	2
#42764	2
#42644	2
#42546	2
#42273	2
#41766	2
#40865	2
#40547	2
#39978	2
#39904	2
#39504	2
#39366	2
#39190	2
#39153	2
#38606	2
#37979	2
#37687	2
#37686	2
#37582	2
#37567	2
#37525	2
#37503	2
#36571	2
#36486	2
#36191	2
C₂×#2550	2
#34788	2
#34780	2