Subgroups — #8464182

Order 512.

4388 conjugacy classes of subgroups.

The subgroup lattice has 2507 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#59498	C₂	1	1	yes	maximal, characteristic, complemented
2	#59435	C₂	1	1	yes	maximal, characteristic, complemented
3	#59292	C₂	1	1	yes	maximal, characteristic, complemented
4	#58840	C₂	1	2	yes	maximal, complemented
5	#56168	C₂	1	2	yes	maximal, complemented
6	#55183	C₂	1	2	yes	maximal, complemented
7	#54400	C₂	1	2	yes	maximal, complemented
8	#53553	C₂	1	2	yes	maximal, complemented
9	#53548	C₂	1	2	yes	maximal, complemented
10	#53082	C₂	1	1	yes	maximal, characteristic, complemented
11	#53048	C₂	1	1	yes	maximal, characteristic, complemented
12	#52955	C₂	1	2	yes	maximal, complemented
13	#51508	C₂	1	2	yes	maximal, complemented
14	#50905	C₂	1	2	yes	maximal, complemented
15	#45754	C₂	1	2	yes	maximal, complemented
16	#45633	C₂	1	1	yes	maximal, characteristic, complemented
17	#45502	C₂	1	1	yes	maximal, characteristic, complemented
18	#44908	C₂	1	1	yes	maximal, characteristic, complemented
19	#44898	C₂	1	1	yes	maximal, characteristic, complemented
20	#44851	C₂	1	2	yes	maximal, complemented
21	#42973	C₂	1	1	yes	maximal, characteristic, complemented
22	#42923	C₂	1	1	yes	maximal, characteristic
23	#42587	C₂	1	1	yes	maximal, characteristic, complemented
24	#42577	C₂	1	1	yes	maximal, characteristic, complemented
25	#42357	C₂	1	2	yes	maximal, complemented
26	#42314	C₂	1	2	yes	maximal, complemented
27	#40142	C₂	1	1	yes	maximal, characteristic, complemented
28	#39937	C₂	1	1	yes	maximal, characteristic, complemented
29	#39607	C₂	1	1	yes	maximal, characteristic, complemented
30	#39534	C₂	1	1	yes	maximal, characteristic, complemented
31	#39295	C₂	1	1	yes	maximal, characteristic, complemented
32	#38639	C₂	1	2	yes	maximal, complemented
33	#38374	C₂	1	2	yes	maximal, complemented
34	#37969	C₂	1	1	yes	maximal, characteristic, complemented
35	#37969	C₂	1	1	yes	maximal, characteristic, complemented
36	#37878	C₂	1	1	yes	maximal, characteristic, complemented
37	#37592	C₂	1	1	yes	maximal, characteristic, complemented
38	#37339	C₂	1	1	yes	maximal, characteristic, complemented
39	#37307	C₂	1	1	yes	maximal, characteristic, complemented
40	#37260	C₂	1	2	yes	maximal, complemented
41	#36391	C₂	1	1	yes	maximal, characteristic, complemented
42	#36257	C₂	1	1	yes	maximal, characteristic, complemented
43	#36209	C₂	1	1	yes	maximal, characteristic, complemented
44	#35170	C₂	1	1	yes	maximal, characteristic, complemented
45	#35160	C₂	1	1	yes	maximal, characteristic, complemented
46	#34938	C₂	1	1	yes	maximal, characteristic, complemented
47	#34861	C₂	1	1	yes	maximal, characteristic, complemented
48	C₂×#552	C₂²	1	2	yes	—
49	C₂×#542	C₂²	1	2	yes	—
50	C₂×#533	C₂²	1	2	yes	—
51	#2860	C₂²	1	1	yes	characteristic
52	#2859	C₂²	1	1	yes	characteristic
53	#2857	C₂²	1	1	yes	characteristic
54	#2857	C₂²	1	1	yes	characteristic
55	#2857	C₂²	1	1	yes	characteristic
56	#2857	C₂²	1	1	yes	characteristic
57	#2854	C₂²	1	1	yes	characteristic
58	#2854	C₂²	1	1	yes	characteristic
59	#2854	C₂²	1	1	yes	characteristic
60	#2852	C₂²	1	2	yes	—
61	#2852	C₂²	1	2	yes	—
62	#2850	C₂²	1	2	yes	—
63	#2844	C₂²	1	2	yes	—
64	#2841	C₂²	1	2	yes	—
65	#2839	C₂²	1	2	yes	—
66	#2838	C₂²	1	2	yes	—
67	#2838	C₂²	1	2	yes	—
68	#2838	C₂²	1	2	yes	—
69	#2837	C₂²	1	2	yes	—
70	#2836	C₂²	1	2	yes	—
71	#2836	C₂²	1	2	yes	—
72	#2833	C₂²	1	2	yes	—
73	#2832	C₂²	1	2	yes	—
74	#2831	C₂²	1	2	yes	—
75	#2827	C₂²	1	2	yes	—
76	#2820	C₂²	1	2	yes	—
77	#2820	C₂²	1	2	yes	—
78	#2814	C₂²	1	2	yes	—
79	#2807	C₂²	1	2	yes	—
80	#2806	C₂²	1	2	yes	—
81	#2806	C₂²	1	2	yes	—
82	#2800	C₂²	1	2	yes	—
83	#2798	C₂²	1	2	yes	—
84	#2790	C₂²	1	2	yes	—
85	#2788	C₂²	1	2	yes	—
86	#2781	C₂²	1	2	yes	—
87	#2780	C₂²	1	2	yes	—
88	#2777	C₂²	1	2	yes	—
89	#2775	C₂²	1	2	yes	—
90	#2775	C₂²	1	2	yes	—
91	#2775	C₂²	1	2	yes	—
92	#2774	C₂²	1	2	yes	—
93	#2774	C₂²	1	2	yes	—
94	#2773	C₂²	1	2	yes	—
95	#2768	C₂²	1	2	yes	—
96	#2766	C₂²	1	2	yes	—
97	#2763	C₂²	1	2	yes	—
98	#2763	C₂²	1	2	yes	—
99	#2763	C₂²	1	2	yes	—
100	#2763	C₂²	1	2	yes	—
101	#2762	C₂²	1	2	yes	—
102	#2761	C₂²	1	2	yes	—
103	#2759	C₂²	1	2	yes	—
104	#2757	C₂²	1	2	yes	—
105	#2755	C₂²	1	2	yes	—
106	#2755	C₂²	1	2	yes	—
107	#2755	C₂²	1	2	yes	—
108	#2754	C₂²	1	2	yes	—
109	#2753	C₂²	1	2	yes	—
110	#2753	C₂²	1	2	yes	—
111	#2753	C₂²	1	2	yes	—
112	#2749	C₂²	1	2	yes	—
113	#2748	C₂²	1	2	yes	—
114	#2748	C₂²	1	2	yes	—
115	#2748	C₂²	1	2	yes	—
116	#2747	C₂²	1	2	yes	—
117	#2746	C₂²	1	2	yes	—
118	#2744	C₂²	1	2	yes	—
119	#2742	C₂²	1	2	yes	—
120	#2732	C₂²	1	2	yes	—
121	#2732	C₂²	1	2	yes	—
122	#2732	C₂²	1	2	yes	—
123	#2731	C₂²	1	2	yes	—
124	#2730	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	#2728	C₂²	1	2	yes	—
130	#2725	C₂²	1	2	yes	—
131	#2723	C₂²	1	2	yes	—
132	#2720	C₂²	1	2	yes	—
133	#2720	C₂²	1	2	yes	—
134	#2719	C₂²	1	2	yes	—
135	#2718	C₂²	1	2	yes	—
136	#2717	C₂²	1	2	yes	—
137	#2716	C₂²	1	2	yes	—
138	#2715	C₂²	1	2	yes	—
139	#2714	C₂²	1	2	yes	—
140	#2713	C₂²	1	2	yes	—
141	#2713	C₂²	1	2	yes	—
142	#2712	C₂²	1	2	yes	—
143	#2711	C₂²	1	2	yes	—
144	#2708	C₂²	1	2	yes	—
145	#2707	C₂²	1	2	yes	—
146	#2707	C₂²	1	2	yes	—
147	#2706	C₂²	1	2	yes	—
148	#2706	C₂²	1	2	yes	—
149	#2706	C₂²	1	2	yes	—
150	#2705	C₂²	1	2	yes	—
151	#2704	C₂²	1	2	yes	—
152	#2704	C₂²	1	2	yes	—
153	#2704	C₂²	1	2	yes	—
154	#2702	C₂²	1	2	yes	—
155	#2698	C₂²	1	2	yes	—
156	#2696	C₂²	1	2	yes	—
157	#2696	C₂²	1	2	yes	—
158	#2696	C₂²	1	2	yes	—
159	#2694	C₂²	1	2	yes	—
160	#2694	C₂²	1	2	yes	—
161	#2692	C₂²	1	2	yes	—
162	#2690	C₂²	1	2	yes	—
163	#2690	C₂²	1	2	yes	—
164	#2689	C₂²	1	2	yes	—
165	#2687	C₂²	1	2	yes	—
166	#2683	C₂²	1	2	yes	—
167	#2683	C₂²	1	2	yes	—
168	#2683	C₂²	1	2	yes	—
169	#2681	C₂²	1	2	yes	—
170	#2680	C₂²	1	2	yes	—
171	#2680	C₂²	1	2	yes	—
172	#2677	C₂²	1	2	yes	—
173	#2677	C₂²	1	2	yes	—
174	#2676	C₂²	1	2	yes	—
175	#2674	C₂²	1	2	yes	—
176	#2674	C₂²	1	2	yes	—
177	#2666	C₂²	1	2	yes	—
178	#2666	C₂²	1	2	yes	—
179	#2663	C₂²	1	2	yes	—
180	#2663	C₂²	1	2	yes	—
181	#2662	C₂²	1	2	yes	—
182	#2661	C₂²	1	2	yes	—
183	#2660	C₂²	1	2	yes	—
184	#2660	C₂²	1	1	yes	characteristic
185	#2660	C₂²	1	2	yes	—
186	#2651	C₂²	1	2	yes	—
187	#2650	C₂²	1	2	yes	—
188	#2649	C₂²	1	2	yes	—
189	#2647	C₂²	1	1	yes	characteristic
190	#2644	C₂²	1	1	yes	characteristic
191	#2643	C₂²	1	2	yes	—
192	#2643	C₂²	1	2	yes	—
193	#2637	C₂²	1	2	yes	—
194	#2637	C₂²	1	2	yes	—
195	#2634	C₂²	1	2	yes	—
196	#2632	C₂²	1	2	yes	—
197	#2629	C₂²	1	1	yes	characteristic
198	#2629	C₂²	1	1	yes	characteristic
199	#2629	C₂²	1	2	yes	—
200	#2628	C₂²	1	1	yes	characteristic
201	#2628	C₂²	1	1	yes	characteristic
202	#2621	C₂²	1	2	yes	—
203	#2618	C₂²	1	2	yes	—
204	#2615	C₂²	1	1	yes	characteristic
205	#2612	C₂²	1	2	yes	—
206	#2611	C₂²	1	2	yes	—
207	#2610	C₂²	1	2	yes	—
208	#2610	C₂²	1	2	yes	—
209	#2610	C₂²	1	2	yes	—
210	#2609	C₂²	1	2	yes	—
211	#2605	C₂²	1	1	yes	characteristic
212	#2605	C₂²	1	2	yes	—
213	#2604	C₂²	1	2	yes	—
214	#2604	C₂²	1	2	yes	—
215	#2603	C₂²	1	1	yes	characteristic
216	#2601	C₂²	1	1	yes	characteristic
217	#2601	C₂²	1	2	yes	—
218	#2599	C₂²	1	2	yes	—
219	#2599	C₂²	1	2	yes	—
220	#2598	C₂²	1	1	yes	characteristic
221	#2598	C₂²	1	2	yes	—
222	#2598	C₂²	1	2	yes	—
223	#2597	C₂²	1	1	yes	characteristic
224	#2595	C₂²	1	2	yes	—
225	#2594	C₂²	1	2	yes	—
226	#2593	C₂²	1	2	yes	—
227	#2590	C₂²	1	2	yes	—
228	#2589	C₂²	1	1	yes	characteristic
229	#2589	C₂²	1	2	yes	—
230	#2586	C₂²	1	2	yes	—
231	#2583	C₂²	1	2	yes	—
232	#2580	C₂²	1	2	yes	—
233	#2580	C₂²	1	1	yes	characteristic
234	#2576	C₂²	1	1	yes	characteristic
235	#2574	C₂²	1	2	yes	—
236	#2574	C₂²	1	2	yes	—
237	#2571	C₂²	1	2	yes	—
238	#2570	C₂²	1	1	yes	characteristic
239	#2567	C₂²	1	1	yes	characteristic
240	#2567	C₂²	1	1	yes	characteristic
241	#2566	C₂²	1	1	yes	characteristic
242	#2563	C₂²	1	1	yes	characteristic
243	#2558	C₂²	1	2	yes	—
244	#2558	C₂²	1	2	yes	—
245	#2557	C₂²	1	1	yes	characteristic
246	#2556	C₂²	1	2	yes	—
247	#2553	C₂²	1	2	yes	—
248	#2552	C₂²	1	1	yes	characteristic
249	#2552	C₂²	1	1	yes	characteristic
250	#2552	C₂²	1	1	yes	characteristic
251	#2552	C₂²	1	1	yes	characteristic
252	#2551	C₂²	1	1	yes	characteristic
253	#2551	C₂²	1	1	yes	characteristic
254	#2551	C₂²	1	1	yes	characteristic
255	#2551	C₂²	1	1	yes	characteristic
256	#2550	C₂²	1	2	yes	—
257	#2550	C₂²	1	1	yes	characteristic
258	#2550	C₂²	1	2	yes	—
259	#2549	C₂²	1	2	yes	—
260	#2549	C₂²	1	2	yes	—
261	#2547	C₂²	1	1	yes	characteristic
262	#2545	C₂²	1	2	yes	—
263	#2542	C₂²	1	1	yes	characteristic
264	#2537	C₂²	1	1	yes	characteristic
265	#2536	C₂²	1	2	yes	—
266	#2533	C₂²	1	2	yes	—
267	#2532	C₂²	1	2	yes	—
268	#2532	C₂²	1	2	yes	—
269	#2532	C₂²	1	2	yes	—
270	#2531	C₂²	1	1	yes	characteristic
271	#2529	C₂²	1	2	yes	—
272	#2529	C₂²	1	2	yes	—
273	#2529	C₂²	1	2	yes	—
274	#2527	C₂²	1	1	yes	characteristic
275	#2525	C₂²	1	2	yes	—
276	#2524	C₂²	1	2	yes	—
277	#2521	C₂²	1	2	yes	—
278	#2521	C₂²	1	2	yes	—
279	#2520	C₂²	1	1	yes	characteristic
280	#2519	C₂²	1	2	yes	—
281	#2519	C₂²	1	2	yes	—
282	#2519	C₂²	1	2	yes	—
283	#2519	C₂²	1	2	yes	—
284	#2516	C₂²	1	1	yes	characteristic
285	#2514	C₂²	1	2	yes	—
286	#2513	C₂²	1	2	yes	—
287	#2513	C₂²	1	1	yes	characteristic
288	#2512	C₂²	1	1	yes	characteristic
289	#2512	C₂²	1	2	yes	—
290	#2512	C₂²	1	2	yes	—
291	#2511	C₂²	1	2	yes	—
292	#2508	C₂²	1	1	yes	characteristic
293	#2508	C₂²	1	1	yes	characteristic
294	#2508	C₂²	1	1	yes	characteristic
295	#2508	C₂²	1	1	yes	characteristic
296	#2508	C₂²	1	2	yes	—
297	#2508	C₂²	1	1	yes	characteristic
298	#2508	C₂²	1	2	yes	—
299	#2507	C₂²	1	1	yes	characteristic
300	#2507	C₂²	1	1	yes	characteristic
301	#2507	C₂²	1	1	yes	characteristic
302	#2507	C₂²	1	1	yes	characteristic
303	#2506	C₂²	1	1	yes	characteristic
304	#2506	C₂²	1	1	yes	characteristic
305	#2506	C₂²	1	1	yes	characteristic
306	#2506	C₂²	1	2	yes	—
307	#2500	C₂²	1	1	yes	characteristic
308	#2500	C₂²	1	1	yes	characteristic
309	#2497	C₂²	1	1	yes	characteristic
310	#2497	C₂²	1	1	yes	characteristic
311	#2497	C₂²	1	1	yes	characteristic
312	#2497	C₂²	1	1	yes	characteristic
313	#2497	C₂²	1	1	yes	characteristic
314	#2497	C₂²	1	1	yes	characteristic
315	#2497	C₂²	1	1	yes	characteristic
316	#2497	C₂²	1	1	yes	characteristic
317	#2496	C₂²	1	1	yes	characteristic
318	#2496	C₂²	1	1	yes	characteristic
319	#2496	C₂²	1	1	yes	characteristic
320	#2496	C₂²	1	1	yes	characteristic
321	#2495	C₂²	1	1	yes	characteristic
322	#2495	C₂²	1	1	yes	characteristic
323	#2495	C₂²	1	1	yes	characteristic
324	#2495	C₂²	1	1	yes	characteristic
325	#2495	C₂²	1	1	yes	characteristic
326	#2495	C₂²	1	1	yes	characteristic
327	#2495	C₂²	1	2	yes	—
328	#2494	C₂²	1	1	yes	characteristic
329	#2494	C₂²	1	1	yes	characteristic
330	#2492	C₂²	1	2	yes	—
331	#2491	C₂²	1	1	yes	characteristic
332	#2491	C₂²	1	1	yes	characteristic
333	#2491	C₂²	1	1	yes	characteristic
334	#2491	C₂²	1	1	yes	characteristic
335	#2489	C₂²	1	2	yes	—
336	#2489	C₂²	1	2	yes	—
337	#2488	C₂²	1	2	yes	—
338	#2487	C₂²	1	1	yes	characteristic
339	#2485	C₂²	1	2	yes	—
340	#2485	C₂²	1	1	yes	characteristic
341	#2485	C₂²	1	1	yes	characteristic
342	#2485	C₂²	1	1	yes	characteristic
343	#2479	C₂²	1	2	yes	—
344	#2477	C₂²	1	1	yes	characteristic
345	#2477	C₂²	1	2	yes	—
346	#2475	C₂²	1	2	yes	—
347	#2475	C₂²	1	2	yes	—
348	#2474	C₂²	1	2	yes	—
349	#2474	C₂²	1	2	yes	—
350	#2473	C₂²	1	2	yes	—
351	#2473	C₂²	1	2	yes	—
352	#2471	C₂²	1	1	yes	characteristic
353	#2470	C₂²	1	2	yes	—
354	#2468	C₂²	1	2	yes	—
355	#2465	C₂²	1	2	yes	—
356	#2461	C₂²	1	2	yes	—
357	#2461	C₂²	1	1	yes	characteristic
358	#2461	C₂²	1	2	yes	—
359	#2461	C₂²	1	2	yes	—
360	#2457	C₂²	1	1	yes	characteristic
361	#2454	C₂²	1	1	yes	characteristic
362	#2453	C₂²	1	2	yes	—
363	#2452	C₂²	1	1	yes	characteristic
364	#2449	C₂²	1	2	yes	—
365	#2448	C₂²	1	2	yes	—
366	#2441	C₂²	1	1	yes	characteristic
367	#2441	C₂²	1	1	yes	characteristic
368	#2441	C₂²	1	1	yes	characteristic
369	#2441	C₂²	1	1	yes	characteristic
370	#2441	C₂²	1	1	yes	characteristic
371	#2441	C₂²	1	1	yes	characteristic
372	#2440	C₂²	1	1	yes	characteristic
373	#2440	C₂²	1	1	yes	characteristic
374	#2440	C₂²	1	1	yes	characteristic
375	#2440	C₂²	1	1	yes	characteristic
376	#2440	C₂²	1	1	yes	characteristic
377	#2440	C₂²	1	1	yes	characteristic
378	#2440	C₂²	1	1	yes	characteristic
379	#2440	C₂²	1	1	yes	characteristic
380	#2439	C₂²	1	1	yes	characteristic
381	#2439	C₂²	1	1	yes	characteristic
382	#2427	C₂²	1	2	yes	—
383	#2425	C₂²	1	2	yes	—
384	#2422	C₂²	1	1	yes	characteristic
385	#2422	C₂²	1	1	yes	characteristic
386	#2422	C₂²	1	1	yes	characteristic
387	#2422	C₂²	1	1	yes	characteristic
388	#2416	C₂²	1	1	yes	characteristic
389	#2414	C₂²	1	1	yes	characteristic
390	#2401	C₂²	1	1	yes	characteristic
391	#2399	C₂²	1	2	yes	—
392	#2399	C₂²	1	2	yes	—
393	#2396	C₂²	1	1	yes	characteristic
394	#2395	C₂²	1	1	yes	characteristic
395	#2388	C₂²	1	1	yes	characteristic
396	#2383	C₂²	1	2	yes	—
397	#2376	C₂²	1	2	yes	—
398	#2373	C₂²	1	2	yes	—
399	#2371	C₂²	1	2	yes	—
400	#2370	C₂²	1	1	yes	characteristic
401	#2369	C₂²	1	1	yes	characteristic
402	#2363	C₂²	1	1	yes	characteristic
403	#2363	C₂²	1	1	yes	characteristic
404	#2361	C₂²	1	1	yes	characteristic
405	#2361	C₂²	1	1	yes	characteristic
406	#2356	C₂²	1	2	yes	—
407	#2356	C₂²	1	2	yes	—
408	#2354	C₂²	1	1	yes	characteristic
409	#2354	C₂²	1	1	yes	characteristic
410	#2354	C₂²	1	1	yes	characteristic
411	#2352	C₂²	1	1	yes	characteristic
412	Q₈×C₄⋊C₄	C₂²	1	1	yes	characteristic
413	D₄×C₄⋊C₄	C₂²	1	1	yes	characteristic
414	#2346	C₂²	1	2	yes	—
415	#2346	C₂²	1	1	yes	characteristic
416	#2346	C₂²	1	1	yes	characteristic
417	#2346	C₂²	1	1	yes	characteristic
418	#2346	C₂²	1	1	yes	characteristic
419	#2346	C₂²	1	2	yes	—
420	#2346	C₂²	1	1	yes	characteristic
421	#2344	C₂²	1	1	yes	characteristic
422	#2334	C₂²	1	2	yes	—
423	#2331	C₂²	1	1	yes	characteristic
424	#2326	C₂²	1	2	yes	—
425	#2324	C₂²	1	1	yes	characteristic
426	#2324	C₂²	1	1	yes	characteristic
427	#2323	C₂²	1	2	yes	—
428	#2323	C₂²	1	2	yes	—
429	#2320	C₂²	1	2	yes	—
430	#2317	C₂²	1	1	yes	characteristic
431	#2317	C₂²	1	1	yes	characteristic
432	#2311	C₂²	1	1	yes	characteristic
433	#2311	C₂²	1	1	yes	characteristic
434	#2311	C₂²	1	1	yes	characteristic
435	C₄×C₄⋊Q₈	C₂²	1	1	yes	characteristic
436	C₄×C₄⋊Q₈	C₂²	1	1	yes	characteristic
437	C₄×C₄⋊Q₈	C₂²	1	1	yes	characteristic
438	C₄×C₄⋊Q₈	C₂²	1	1	yes	characteristic
439	C₄×#125	C₂²	1	1	yes	characteristic
440	C₄×#126	C₂²	1	1	yes	characteristic
441	C₄×#124	C₂²	1	1	yes	characteristic
442	C₄×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
443	C₄×#123	C₂²	1	1	yes	characteristic
444	C₄×#123	C₂²	1	1	yes	characteristic
445	#2298	C₂²	1	1	yes	characteristic
446	#2297	C₂²	1	1	yes	characteristic
447	#2297	C₂²	1	1	yes	characteristic
448	#2296	C₂²	1	1	yes	characteristic
449	#2296	C₂²	1	2	yes	—
450	#2293	C₂²	1	1	yes	characteristic
451	#2290	C₂²	1	1	yes	characteristic
452	#2290	C₂²	1	2	yes	—
453	#2285	C₂²	1	1	yes	characteristic
454	#2285	C₂²	1	1	yes	characteristic
455	#2285	C₂²	1	1	yes	characteristic
456	C₄²×D₄	C₂²	1	1	yes	characteristic
457	C₄×#117	C₂²	1	1	yes	characteristic
458	C₂×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic
459	C₂²×#41	C₂³	1	1	yes	characteristic
460	#552	—	4	8	no	—
461	#542	—	4	8	no	—
462	#533	—	4	8	no	—
463	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
464	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
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	2	yes	—
470	C₂×C₄⋊Q₈	C₂³	1	2	yes	—
471	C₂×C₄⋊Q₈	C₂³	1	2	yes	—
472	C₂×C₄⋊Q₈	C₂³	1	2	yes	—
473	C₂×#126	C₂³	1	1	yes	characteristic
474	C₂×#126	C₂³	1	2	yes	—
475	C₂×#126	C₂³	1	2	yes	—
476	C₂×#126	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	C₂³	1	1	yes	characteristic
481	C₂×#125	C₂³	1	2	yes	—
482	C₂×#125	C₂³	1	2	yes	—
483	C₂×#125	C₂³	1	1	yes	characteristic
484	C₂×#125	C₂³	1	2	yes	—
485	C₂×#125	C₂³	1	2	yes	—
486	C₂×#125	C₂³	1	2	yes	—
487	C₂×#125	C₂³	1	2	yes	—
488	C₂×#125	C₂³	1	2	yes	—
489	C₂×#125	C₂³	1	2	yes	—
490	C₂×#124	C₂³	1	2	yes	—
491	C₂×#124	C₂³	1	2	yes	—
492	C₂×#124	C₂³	1	2	yes	—
493	C₂×#124	C₂³	1	2	yes	—
494	C₂×#124	C₂³	1	1	yes	characteristic
495	C₂×#124	C₂³	1	2	yes	—
496	C₂×#123	C₂³	1	1	yes	characteristic
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×#123	C₂³	1	1	yes	characteristic
502	C₂×#123	C₂³	1	2	yes	—
503	C₂×#123	C₂³	1	2	yes	—
504	C₂×#123	C₂³	1	2	yes	—
505	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
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	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×C₂²⋊Q₈	C₂³	1	2	yes	—
514	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
515	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
516	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
517	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
518	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
519	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
520	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
521	C₂×#121	C₂³	1	1	yes	characteristic
522	C₂×#121	C₂³	1	1	yes	characteristic
523	C₂×#121	C₂³	1	1	yes	characteristic
524	C₂×#121	C₂³	1	1	yes	characteristic
525	C₂×#121	C₂³	1	2	yes	—
526	C₂×#121	C₂³	1	2	yes	—
527	C₂×C₄×Q₈	C₂³	1	2	yes	—
528	C₂×C₄×Q₈	C₂³	1	2	yes	—
529	C₂×C₄×Q₈	C₂³	1	2	yes	—
530	C₂×C₄×Q₈	C₂³	1	2	yes	—
531	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
532	C₂×C₄×Q₈	C₂³	1	2	yes	—
533	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
534	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
535	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
536	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
537	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
538	C₂×C₄×D₄	C₂³	1	2	yes	—
539	C₂×C₄×D₄	C₂³	1	2	yes	—
540	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
541	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
542	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
543	C₂×#117	C₂³	1	1	yes	characteristic
544	C₂×#117	C₂³	1	2	yes	—
545	C₂×#117	C₂³	1	1	yes	characteristic
546	C₂×#117	C₂³	1	1	yes	characteristic
547	C₂×#117	C₂³	1	1	yes	characteristic
548	C₂×#117	C₂³	1	1	yes	characteristic
549	C₂×#117	C₂³	1	1	yes	characteristic
550	C₂×#117	C₂³	1	2	yes	—
551	C₂×#117	C₂³	1	1	yes	characteristic
552	C₂×#117	C₂³	1	2	yes	—
553	C₂×#117	C₂³	1	2	yes	—
554	C₂×#117	C₂³	1	2	yes	—
555	C₂×#117	C₂³	1	1	yes	characteristic
556	C₂×#117	C₂³	1	1	yes	characteristic
557	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
558	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
559	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
560	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
561	C₂²×C₄²	C₂³	1	1	yes	characteristic
562	C₂²×C₄²	C₂³	1	2	yes	—
563	C₂²×C₄²	C₂³	1	1	yes	characteristic
564	C₂²×C₄²	C₂³	1	1	yes	characteristic
565	#401	C₂³	1	1	yes	characteristic
566	#401	C₂³	1	2	yes	—
567	#401	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	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	2	yes	—
591	#400	C₂³	1	2	yes	—
592	#400	C₂³	1	2	yes	—
593	#400	C₂³	1	2	yes	—
594	#400	C₂³	1	1	yes	characteristic
595	#400	C₂³	1	2	yes	—
596	#400	C₂³	1	1	yes	characteristic
597	#400	C₂³	1	2	yes	—
598	#400	C₂³	1	1	yes	characteristic
599	#400	C₂³	1	1	yes	characteristic
600	#400	C₂³	1	1	yes	characteristic
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	#399	C₂³	1	2	yes	—
606	#399	C₂³	1	2	yes	—
607	#399	C₂³	1	2	yes	—
608	#399	C₂³	1	2	yes	—
609	#399	C₂³	1	2	yes	—
610	#399	C₂³	1	2	yes	—
611	#399	C₂³	1	2	yes	—
612	#399	C₂³	1	1	yes	characteristic
613	#399	C₂³	1	2	yes	—
614	#399	C₂³	1	2	yes	—
615	#399	C₂³	1	2	yes	—
616	#399	C₂³	1	2	yes	—
617	#399	C₂³	1	2	yes	—
618	#399	C₂³	1	1	yes	characteristic
619	#399	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	2	yes	—
626	#398	C₂³	1	2	yes	—
627	#398	C₂³	1	2	yes	—
628	#398	C₂³	1	2	yes	—
629	#398	C₂³	1	2	yes	—
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	2	yes	—
635	#398	C₂³	1	2	yes	—
636	#398	C₂³	1	2	yes	—
637	#398	C₂³	1	1	yes	characteristic
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	2	yes	—
645	#398	C₂³	1	2	yes	—
646	#398	C₂³	1	2	yes	—
647	#398	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
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	2	yes	—
662	#398	C₂³	1	2	yes	—
663	#398	C₂³	1	2	yes	—
664	#398	C₂³	1	2	yes	—
665	#397	C₂³	1	1	yes	characteristic
666	#397	C₂³	1	2	yes	—
667	#397	C₂³	1	2	yes	—
668	#397	C₂³	1	2	yes	—
669	#397	C₂³	1	1	yes	characteristic
670	#397	C₂³	1	2	yes	—
671	#397	C₂³	1	2	yes	—
672	#397	C₂³	1	1	yes	characteristic
673	#397	C₂³	1	2	yes	—
674	#397	C₂³	1	2	yes	—
675	#397	C₂³	1	2	yes	—
676	#397	C₂³	1	2	yes	—
677	#397	C₂³	1	2	yes	—
678	#397	C₂³	1	2	yes	—
679	#397	C₂³	1	2	yes	—
680	#397	C₂³	1	1	yes	characteristic
681	#397	C₂³	1	2	yes	—
682	#397	C₂³	1	2	yes	—
683	#397	C₂³	1	2	yes	—
684	#397	C₂³	1	2	yes	—
685	#397	C₂³	1	2	yes	—
686	#397	C₂³	1	2	yes	—
687	#397	C₂³	1	1	yes	characteristic
688	#397	C₂³	1	1	yes	characteristic
689	#397	C₂³	1	2	yes	—
690	#397	C₂³	1	2	yes	—
691	#397	C₂³	1	2	yes	—
692	#397	C₂³	1	2	yes	—
693	#397	C₂³	1	2	yes	—
694	#397	C₂³	1	2	yes	—
695	#397	C₂³	1	2	yes	—
696	#397	C₂³	1	2	yes	—
697	#397	C₂³	1	2	yes	—
698	#396	C₂³	1	2	yes	—
699	#396	C₂³	1	2	yes	—
700	#396	C₂³	1	2	yes	—
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	#396	C₂³	1	2	yes	—
706	#396	C₂³	1	2	yes	—
707	#396	C₂³	1	2	yes	—
708	#396	C₂³	1	2	yes	—
709	#396	C₂³	1	2	yes	—
710	#396	C₂³	1	2	yes	—
711	#396	C₂³	1	1	yes	characteristic
712	#396	C₂³	1	2	yes	—
713	#396	C₂³	1	2	yes	—
714	#396	C₂³	1	2	yes	—
715	#396	C₂³	1	2	yes	—
716	#396	C₂³	1	2	yes	—
717	#396	C₂³	1	1	yes	characteristic
718	#396	C₂³	1	1	yes	characteristic
719	#396	C₂³	1	2	yes	—
720	#396	C₂³	1	2	yes	—
721	#396	C₂³	1	2	yes	—
722	#396	C₂³	1	2	yes	—
723	#396	C₂³	1	2	yes	—
724	#396	C₂³	1	2	yes	—
725	#396	C₂³	1	2	yes	—
726	#396	C₂³	1	2	yes	—
727	#396	C₂³	1	2	yes	—
728	#395	C₂³	1	2	yes	—
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	2	yes	—
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	2	yes	—
740	#395	C₂³	1	2	yes	—
741	#395	C₂³	1	2	yes	—
742	#395	C₂³	1	2	yes	—
743	#395	C₂³	1	2	yes	—
744	#395	C₂³	1	2	yes	—
745	#395	C₂³	1	2	yes	—
746	#395	C₂³	1	2	yes	—
747	#395	C₂³	1	2	yes	—
748	#395	C₂³	1	2	yes	—
749	#395	C₂³	1	1	yes	characteristic
750	#395	C₂³	1	2	yes	—
751	#395	C₂³	1	2	yes	—
752	#395	C₂³	1	2	yes	—
753	#395	C₂³	1	2	yes	—
754	#395	C₂³	1	2	yes	—
755	#394	C₂³	1	1	yes	characteristic
756	#394	C₂³	1	2	yes	—
757	#394	C₂³	1	2	yes	—
758	#394	C₂³	1	2	yes	—
759	#394	C₂³	1	2	yes	—
760	#394	C₂³	1	2	yes	—
761	#394	C₂³	1	1	yes	characteristic
762	#394	C₂³	1	2	yes	—
763	#394	C₂³	1	2	yes	—
764	#394	C₂³	1	2	yes	—
765	#394	C₂³	1	2	yes	—
766	#394	C₂³	1	2	yes	—
767	#394	C₂³	1	1	yes	characteristic
768	#394	C₂³	1	1	yes	characteristic
769	#394	C₂³	1	2	yes	—
770	#394	C₂³	1	1	yes	characteristic
771	#394	C₂³	1	2	yes	—
772	#394	C₂³	1	2	yes	—
773	#394	C₂³	1	2	yes	—
774	#394	C₂³	1	2	yes	—
775	#394	C₂³	1	2	yes	—
776	#394	C₂³	1	2	yes	—
777	#394	C₂³	1	2	yes	—
778	#394	C₂³	1	2	yes	—
779	#393	C₂³	1	2	yes	—
780	#393	C₂³	1	2	yes	—
781	#393	C₂³	1	2	yes	—
782	#393	C₂³	1	2	yes	—
783	#393	C₂³	1	2	yes	—
784	#393	C₂³	1	1	yes	characteristic
785	#393	C₂³	1	2	yes	—
786	#393	C₂³	1	1	yes	characteristic
787	#393	C₂³	1	2	yes	—
788	#393	C₂³	1	2	yes	—
789	#393	C₂³	1	2	yes	—
790	#393	C₂³	1	2	yes	—
791	#393	C₂³	1	2	yes	—
792	#393	C₂³	1	2	yes	—
793	#393	C₂³	1	2	yes	—
794	#392	C₂³	1	2	yes	—
795	#392	C₂³	1	2	yes	—
796	#392	C₂³	1	1	yes	characteristic
797	#392	C₂³	1	1	yes	characteristic
798	#392	C₂³	1	2	yes	—
799	#392	C₂³	1	1	yes	characteristic
800	#392	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	2	yes	—
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	2	yes	—
819	#391	C₂³	1	1	yes	characteristic
820	#391	C₂³	1	1	yes	characteristic
821	#391	C₂³	1	2	yes	—
822	#391	C₂³	1	2	yes	—
823	#391	C₂³	1	2	yes	—
824	#391	C₂³	1	1	yes	characteristic
825	#391	C₂³	1	1	yes	characteristic
826	#391	C₂³	1	1	yes	characteristic
827	#391	C₂³	1	1	yes	characteristic
828	#390	C₂³	1	2	yes	—
829	#390	C₂³	1	1	yes	characteristic
830	#390	C₂³	1	1	yes	characteristic
831	#390	C₂³	1	2	yes	—
832	#390	C₂³	1	2	yes	—
833	#390	C₂³	1	2	yes	—
834	#390	C₂³	1	2	yes	—
835	#390	C₂³	1	1	yes	characteristic
836	#390	C₂³	1	2	yes	—
837	#390	C₂³	1	1	yes	characteristic
838	#390	C₂³	1	2	yes	—
839	#390	C₂³	1	2	yes	—
840	#390	C₂³	1	2	yes	—
841	#390	C₂³	1	1	yes	characteristic
842	#390	C₂³	1	1	yes	characteristic
843	#390	C₂³	1	1	yes	characteristic
844	#390	C₂³	1	1	yes	characteristic
845	#390	C₂³	1	2	yes	—
846	#390	C₂³	1	1	yes	characteristic
847	#390	C₂³	1	1	yes	characteristic
848	#390	C₂³	1	1	yes	characteristic
849	#390	C₂³	1	2	yes	—
850	#390	C₂³	1	1	yes	characteristic
851	#390	C₂³	1	1	yes	characteristic
852	#389	C₂³	1	1	yes	characteristic
853	#389	C₂³	1	1	yes	characteristic
854	#389	C₂³	1	1	yes	characteristic
855	#389	C₂³	1	1	yes	characteristic
856	#389	C₂³	1	2	yes	—
857	#389	C₂³	1	1	yes	characteristic
858	#389	C₂³	1	1	yes	characteristic
859	#389	C₂³	1	2	yes	—
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	2	yes	—
864	#389	C₂³	1	1	yes	characteristic
865	#389	C₂³	1	2	yes	—
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	1	yes	characteristic
872	#389	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
879	#389	C₂³	1	1	yes	characteristic
880	#389	C₂³	1	2	yes	—
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	1	yes	characteristic
889	#389	C₂³	1	2	yes	—
890	#389	C₂³	1	2	yes	—
891	#389	C₂³	1	1	yes	characteristic
892	#389	C₂³	1	2	yes	—
893	#389	C₂³	1	2	yes	—
894	#389	C₂³	1	2	yes	—
895	#389	C₂³	1	1	yes	characteristic
896	#389	C₂³	1	1	yes	characteristic
897	#389	C₂³	1	2	yes	—
898	#389	C₂³	1	2	yes	—
899	#389	C₂³	1	1	yes	characteristic
900	#389	C₂³	1	1	yes	characteristic
901	#389	C₂³	1	2	yes	—
902	#389	C₂³	1	1	yes	characteristic
903	#389	C₂³	1	2	yes	—
904	#389	C₂³	1	1	yes	characteristic
905	#389	C₂³	1	1	yes	characteristic
906	#389	C₂³	1	2	yes	—
907	#389	C₂³	1	1	yes	characteristic
908	#389	C₂³	1	2	yes	—
909	#389	C₂³	1	1	yes	characteristic
910	#389	C₂³	1	2	yes	—
911	#389	C₂³	1	1	yes	characteristic
912	#389	C₂³	1	2	yes	—
913	#389	C₂³	1	2	yes	—
914	#389	C₂³	1	2	yes	—
915	#389	C₂³	1	1	yes	characteristic
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	2	yes	—
922	#389	C₂³	1	2	yes	—
923	#389	C₂³	1	1	yes	characteristic
924	#389	C₂³	1	1	yes	characteristic
925	#388	C₂³	1	1	yes	characteristic
926	#388	C₂³	1	1	yes	characteristic
927	#388	C₂³	1	1	yes	characteristic
928	#388	C₂³	1	2	yes	—
929	#388	C₂³	1	2	yes	—
930	#388	C₂³	1	2	yes	—
931	#388	C₂³	1	2	yes	—
932	#388	C₂³	1	2	yes	—
933	#388	C₂³	1	1	yes	characteristic
934	#388	C₂³	1	1	yes	characteristic
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	2	yes	—
945	#388	C₂³	1	2	yes	—
946	#388	C₂³	1	2	yes	—
947	#388	C₂³	1	1	yes	characteristic
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	2	yes	—
959	#388	C₂³	1	1	yes	characteristic
960	#388	C₂³	1	2	yes	—
961	#388	C₂³	1	2	yes	—
962	#388	C₂³	1	2	yes	—
963	#388	C₂³	1	2	yes	—
964	#388	C₂³	1	2	yes	—
965	#388	C₂³	1	2	yes	—
966	#388	C₂³	1	2	yes	—
967	#388	C₂³	1	2	yes	—
968	#388	C₂³	1	2	yes	—
969	#388	C₂³	1	2	yes	—
970	#388	C₂³	1	2	yes	—
971	#388	C₂³	1	2	yes	—
972	#388	C₂³	1	2	yes	—
973	#388	C₂³	1	2	yes	—
974	#388	C₂³	1	2	yes	—
975	#388	C₂³	1	2	yes	—
976	#388	C₂³	1	2	yes	—
977	#388	C₂³	1	1	yes	characteristic
978	#388	C₂³	1	1	yes	characteristic
979	#388	C₂³	1	2	yes	—
980	#388	C₂³	1	2	yes	—
981	#388	C₂³	1	1	yes	characteristic
982	#388	C₂³	1	1	yes	characteristic
983	#388	C₂³	1	2	yes	—
984	#388	C₂³	1	2	yes	—
985	#388	C₂³	1	2	yes	—
986	#388	C₂³	1	2	yes	—
987	#388	C₂³	1	2	yes	—
988	#388	C₂³	1	2	yes	—
989	#388	C₂³	1	2	yes	—
990	#388	C₂³	1	2	yes	—
991	#388	C₂³	1	2	yes	—
992	#388	C₂³	1	2	yes	—
993	#388	C₂³	1	2	yes	—
994	#388	C₂³	1	2	yes	—
995	#388	C₂³	1	1	yes	characteristic
996	#388	C₂³	1	1	yes	characteristic
997	#388	C₂³	1	2	yes	—
998	#388	C₂³	1	2	yes	—
999	#388	C₂³	1	2	yes	—
1000	#388	C₂³	1	2	yes	—
1001	#388	C₂³	1	2	yes	—
1002	#388	C₂³	1	2	yes	—
1003	#388	C₂³	1	2	yes	—
1004	#388	C₂³	1	1	yes	characteristic
1005	#388	C₂³	1	2	yes	—
1006	#388	C₂³	1	2	yes	—
1007	#387	C₂³	1	1	yes	characteristic
1008	#387	C₂³	1	1	yes	characteristic
1009	#387	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
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	1	yes	characteristic
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	1	yes	characteristic
1032	#387	C₂³	1	2	yes	—
1033	#387	C₂³	1	2	yes	—
1034	#387	C₂³	1	1	yes	characteristic
1035	#387	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
1041	#387	C₂³	1	2	yes	—
1042	#387	C₂³	1	2	yes	—
1043	#387	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
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	1	yes	characteristic
1056	#387	C₂³	1	2	yes	—
1057	#387	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
1069	#387	C₂³	1	1	yes	characteristic
1070	#386	C₂³	1	2	yes	—
1071	#386	C₂³	1	2	yes	—
1072	#386	C₂³	1	2	yes	—
1073	#386	C₂³	1	2	yes	—
1074	#386	C₂³	1	2	yes	—
1075	#386	C₂³	1	2	yes	—
1076	#386	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	2	yes	—
1084	#386	C₂³	1	2	yes	—
1085	#386	C₂³	1	1	yes	characteristic
1086	#386	C₂³	1	1	yes	characteristic
1087	#386	C₂³	1	1	yes	characteristic
1088	#386	C₂³	1	1	yes	characteristic
1089	#386	C₂³	1	2	yes	—
1090	#386	C₂³	1	1	yes	characteristic
1091	#386	C₂³	1	2	yes	—
1092	#386	C₂³	1	1	yes	characteristic
1093	#386	C₂³	1	2	yes	—
1094	#386	C₂³	1	1	yes	characteristic
1095	#386	C₂³	1	2	yes	—
1096	#386	C₂³	1	2	yes	—
1097	#386	C₂³	1	1	yes	characteristic
1098	#386	C₂³	1	2	yes	—
1099	#386	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
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	2	yes	—
1118	#385	C₂³	1	1	yes	characteristic
1119	#385	C₂³	1	2	yes	—
1120	#385	C₂³	1	1	yes	characteristic
1121	#385	C₂³	1	2	yes	—
1122	#385	C₂³	1	2	yes	—
1123	#385	C₂³	1	1	yes	characteristic
1124	#385	C₂³	1	2	yes	—
1125	#385	C₂³	1	2	yes	—
1126	#385	C₂³	1	2	yes	—
1127	#385	C₂³	1	1	yes	characteristic
1128	#385	C₂³	1	2	yes	—
1129	#385	C₂³	1	2	yes	—
1130	#385	C₂³	1	2	yes	—
1131	#385	C₂³	1	2	yes	—
1132	#385	C₂³	1	2	yes	—
1133	#385	C₂³	1	2	yes	—
1134	#385	C₂³	1	2	yes	—
1135	#385	C₂³	1	2	yes	—
1136	#385	C₂³	1	1	yes	characteristic
1137	#384	C₂³	1	1	yes	characteristic
1138	#384	C₂³	1	1	yes	characteristic
1139	#384	C₂³	1	1	yes	characteristic
1140	#384	C₂³	1	1	yes	characteristic
1141	#384	C₂³	1	2	yes	—
1142	#384	C₂³	1	2	yes	—
1143	#384	C₂³	1	1	yes	characteristic
1144	#384	C₂³	1	1	yes	characteristic
1145	#384	C₂³	1	1	yes	characteristic
1146	#384	C₂³	1	2	yes	—
1147	#384	C₂³	1	1	yes	characteristic
1148	#384	C₂³	1	1	yes	characteristic
1149	#384	C₂³	1	1	yes	characteristic
1150	#384	C₂³	1	1	yes	characteristic
1151	#384	C₂³	1	1	yes	characteristic
1152	#384	C₂³	1	1	yes	characteristic
1153	#383	C₂³	1	1	yes	characteristic
1154	#383	C₂³	1	2	yes	—
1155	#383	C₂³	1	2	yes	—
1156	#383	C₂³	1	2	yes	—
1157	#383	C₂³	1	2	yes	—
1158	#383	C₂³	1	2	yes	—
1159	#383	C₂³	1	2	yes	—
1160	#382	C₂³	1	1	yes	characteristic
1161	#382	C₂³	1	2	yes	—
1162	#382	C₂³	1	2	yes	—
1163	#382	C₂³	1	2	yes	—
1164	#382	C₂³	1	1	yes	characteristic
1165	#382	C₂³	1	1	yes	characteristic
1166	#382	C₂³	1	1	yes	characteristic
1167	#382	C₂³	1	1	yes	characteristic
1168	#382	C₂³	1	2	yes	—
1169	#382	C₂³	1	2	yes	—
1170	#382	C₂³	1	2	yes	—
1171	#382	C₂³	1	2	yes	—
1172	#382	C₂³	1	2	yes	—
1173	#382	C₂³	1	2	yes	—
1174	#382	C₂³	1	2	yes	—
1175	#382	C₂³	1	2	yes	—
1176	#382	C₂³	1	2	yes	—
1177	#382	C₂³	1	2	yes	—
1178	#382	C₂³	1	1	yes	characteristic
1179	#382	C₂³	1	2	yes	—
1180	#382	C₂³	1	2	yes	—
1181	#381	C₂³	1	1	yes	characteristic
1182	#381	C₂³	1	1	yes	characteristic
1183	#381	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	1	yes	characteristic
1189	#380	C₂³	1	1	yes	characteristic
1190	#380	C₂³	1	1	yes	characteristic
1191	#380	C₂³	1	1	yes	characteristic
1192	#380	C₂³	1	1	yes	characteristic
1193	#380	C₂³	1	1	yes	characteristic
1194	#380	C₂³	1	1	yes	characteristic
1195	#380	C₂³	1	1	yes	characteristic
1196	#380	C₂³	1	1	yes	characteristic
1197	#380	C₂³	1	1	yes	characteristic
1198	#380	C₂³	1	1	yes	characteristic
1199	#380	C₂³	1	2	yes	—
1200	#380	C₂³	1	2	yes	—
1201	#380	C₂³	1	2	yes	—
1202	#380	C₂³	1	2	yes	—
1203	#380	C₂³	1	2	yes	—
1204	#380	C₂³	1	1	yes	characteristic
1205	#380	C₂³	1	1	yes	characteristic
1206	#380	C₂³	1	2	yes	—
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	2	yes	—
1214	#380	C₂³	1	2	yes	—
1215	#380	C₂³	1	2	yes	—
1216	#380	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	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	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	1	yes	characteristic
1233	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1234	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
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	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	1	yes	characteristic
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	2	yes	—
1247	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1248	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
1253	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1254	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1255	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1256	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1257	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1258	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1259	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1260	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1261	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1262	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
1263	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
1264	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
1265	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
1266	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
1267	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
1268	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
1269	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
1270	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
1271	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
1272	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
1273	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
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	#376	C₂³	1	2	yes	—
1287	#376	C₂³	1	2	yes	—
1288	#376	C₂³	1	1	yes	characteristic
1289	#376	C₂³	1	1	yes	characteristic
1290	#376	C₂³	1	2	yes	—
1291	#376	C₂³	1	2	yes	—
1292	#376	C₂³	1	2	yes	—
1293	#376	C₂³	1	1	yes	characteristic
1294	C₂×#95	C₂³	1	2	yes	—
1295	C₄³	C₂³	1	1	yes	characteristic
1296	C₄³	C₂³	1	1	yes	characteristic
1297	C₂×#41	—	2	4	no	—
1298	C₂×#41	—	4	2	no	—
1299	C₂×#41	—	4	2	no	—
1300	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
1301	C₂²×Q₈	C₂⁴	1	2	yes	—
1302	C₂²×Q₈	C₂⁴	1	2	yes	—
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×D₄	C₂⁴	1	1	yes	characteristic
1309	C₂²×D₄	C₂⁴	1	1	yes	characteristic
1310	C₂²×D₄	C₂⁴	1	1	yes	characteristic
1311	C₂²×D₄	C₂⁴	1	2	yes	—
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	2	yes	—
1317	C₂²×D₄	C₂⁴	1	2	yes	—
1318	C₂²×D₄	C₂⁴	1	2	yes	—
1319	C₂³×C₄	C₂⁴	1	1	yes	characteristic
1320	C₂³×C₄	C₂⁴	1	1	yes	characteristic
1321	C₂³×C₄	C₂⁴	1	1	yes	characteristic
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	2	yes	—
1326	C₂³×C₄	C₂⁴	1	1	yes	characteristic
1327	C₂³×C₄	C₂⁴	1	1	yes	characteristic
1328	C₂³×C₄	C₂⁴	1	1	yes	characteristic
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	2	yes	—
1333	C₂³×C₄	C₂⁴	1	2	yes	—
1334	C₂³×C₄	C₂⁴	1	2	yes	—
1335	C₄⋊Q₈	—	4	2	no	—
1336	C₄⋊Q₈	—	4	2	no	—
1337	C₄⋊Q₈	—	4	2	no	—
1338	C₄⋊Q₈	—	4	2	no	—
1339	C₄⋊Q₈	—	4	2	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	—	8	2	no	—
1345	#126	—	2	8	no	—
1346	#126	—	2	4	no	—
1347	#126	—	4	4	no	—
1348	#126	—	4	4	no	—
1349	#126	—	4	4	no	—
1350	#126	—	8	2	no	—
1351	#126	—	8	2	no	—
1352	#125	—	4	2	no	—
1353	#125	—	4	4	no	—
1354	#125	—	4	2	no	—
1355	#125	—	4	4	no	—
1356	#125	—	4	4	no	—
1357	#125	—	4	4	no	—
1358	#125	—	4	4	no	—
1359	#125	—	4	4	no	—
1360	#125	—	8	2	no	—
1361	#125	—	8	2	no	—
1362	#124	—	4	4	no	—
1363	#124	—	4	4	no	—
1364	#124	—	4	4	no	—
1365	#124	—	4	4	no	—
1366	#124	—	4	2	no	—
1367	#124	—	8	2	no	—
1368	#123	—	2	4	no	—
1369	#123	—	4	2	no	—
1370	#123	—	4	4	no	—
1371	#123	—	4	4	no	—
1372	#123	—	4	4	no	—
1373	#123	—	4	4	no	—
1374	#123	—	8	2	no	—
1375	#123	—	8	2	no	—
1376	#123	—	8	2	no	—
1377	C₂²⋊Q₈	—	2	4	no	—
1378	C₂²⋊Q₈	—	4	4	no	—
1379	C₂²⋊Q₈	—	4	4	no	—
1380	C₂²⋊Q₈	—	4	4	no	—
1381	C₂²⋊Q₈	—	4	4	no	—
1382	C₂²⋊Q₈	—	4	4	no	—
1383	C₂²⋊Q₈	—	4	4	no	—
1384	C₂²⋊Q₈	—	4	4	no	—
1385	C₂²⋊Q₈	—	4	4	no	—
1386	C₂²⋊Q₈	—	4	4	no	—
1387	C₂²⋊Q₈	—	4	4	no	—
1388	C₂²⋊Q₈	—	8	2	no	—
1389	C₂²⋊Q₈	—	8	2	no	—
1390	C₂²⋊Q₈	—	8	2	no	—
1391	C₂²⋊Q₈	—	8	2	no	—
1392	C₂²⋊Q₈	—	8	2	no	—
1393	#121	—	2	4	no	—
1394	#121	—	4	2	no	—
1395	#121	—	4	2	no	—
1396	#121	—	4	2	no	—
1397	#121	—	4	4	no	—
1398	#121	—	8	2	no	—
1399	C₄×Q₈	—	2	8	no	—
1400	C₄×Q₈	—	2	8	no	—
1401	C₄×Q₈	—	4	2	no	—
1402	C₄×Q₈	—	4	4	no	—
1403	C₄×Q₈	—	4	4	no	—
1404	C₄×Q₈	—	4	4	no	—
1405	C₄×D₄	—	2	4	no	—
1406	C₄×D₄	—	2	4	no	—
1407	C₄×D₄	—	4	4	no	—
1408	C₄×D₄	—	4	4	no	—
1409	C₄×D₄	—	4	2	no	—
1410	C₄×D₄	—	4	2	no	—
1411	C₄×D₄	—	4	2	no	—
1412	C₄×D₄	—	4	2	no	—
1413	C₄×D₄	—	4	2	no	—
1414	C₄×D₄	—	4	2	no	—
1415	#117	—	2	4	no	—
1416	#117	—	2	4	no	—
1417	#117	—	2	4	no	—
1418	#117	—	2	8	no	—
1419	#117	—	4	2	no	—
1420	#117	—	4	4	no	—
1421	#117	—	4	2	no	—
1422	#117	—	4	4	no	—
1423	#117	—	4	4	no	—
1424	#117	—	4	4	no	—
1425	#117	—	4	2	no	—
1426	#117	—	4	2	no	—
1427	#117	—	4	2	no	—
1428	#117	—	4	2	no	—
1429	C₂×C₄⋊C₄	—	4	2	no	—
1430	C₂×C₄⋊C₄	—	4	2	no	—
1431	C₂×C₄⋊C₄	—	4	2	no	—
1432	C₂×C₄⋊C₄	—	4	4	no	—
1433	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
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	1	yes	characteristic
1438	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1439	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
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	2	yes	—
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	1	yes	characteristic
1451	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1452	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1453	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1454	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1455	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1456	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
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	2	yes	—
1462	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1463	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1464	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1465	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1466	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1467	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1468	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1469	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1470	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1471	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
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	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	2	yes	—
1488	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1489	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
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	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	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	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	2	yes	—
1525	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1526	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
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	2	yes	—
1535	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1536	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1537	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
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×C₄⋊C₄	C₂⁴	1	2	yes	—
1543	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1544	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1545	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1546	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1547	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1548	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1549	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
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	2	yes	—
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	1	yes	characteristic
1558	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1559	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1560	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
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	1	yes	characteristic
1567	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
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	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	2	yes	—
1580	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
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	1	yes	characteristic
1585	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1586	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1587	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1588	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1589	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1590	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1591	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1592	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1593	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1594	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1595	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1596	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1597	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1598	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1599	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1600	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1601	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1602	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1603	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1604	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1605	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1606	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1607	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1608	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1609	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1610	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1611	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1612	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1613	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1614	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1615	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1616	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1617	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1618	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1619	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1620	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1621	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1622	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1623	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1624	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1625	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1626	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1627	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1628	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1629	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1630	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1631	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1632	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1633	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1634	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1635	C₂×C₄²	—	2	4	no	—
1636	C₂×C₄²	—	4	4	no	—
1637	C₂×C₄²	—	4	2	no	—
1638	C₂×C₄²	—	4	2	no	—
1639	C₂×C₄²	C₂⁴	1	2	yes	—
1640	C₂×C₄²	C₂⁴	1	2	yes	—
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	1	yes	characteristic
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	1	yes	characteristic
1649	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1650	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1651	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1652	C₂×C₄²	C₂⁴	1	2	yes	—
1653	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1654	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1655	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1656	C₂×C₄²	C₂⁴	1	2	yes	—
1657	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1658	C₂×C₄²	C₂⁴	1	2	yes	—
1659	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1660	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1661	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1662	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1663	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1664	C₂×C₄²	C₂⁴	1	2	yes	—
1665	C₂×C₄²	C₂⁴	1	2	yes	—
1666	C₂×C₄²	C₂⁴	1	2	yes	—
1667	C₂×C₄²	C₂⁴	1	2	yes	—
1668	C₂×C₄²	C₂⁴	1	2	yes	—
1669	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1670	C₂×C₄²	C₂⁴	1	2	yes	—
1671	C₂×C₄²	C₂⁴	1	2	yes	—
1672	C₂×C₄²	C₂⁴	1	2	yes	—
1673	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1674	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1675	C₂×C₄²	C₂⁴	1	2	yes	—
1676	C₂×C₄²	C₂⁴	1	2	yes	—
1677	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1678	C₂×C₄²	C₂⁴	1	2	yes	—
1679	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1680	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1681	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1682	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1683	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1684	#95	C₂⁴	1	2	yes	—
1685	#95	C₂⁴	1	2	yes	—
1686	#95	C₂⁴	1	2	yes	—
1687	#95	C₂⁴	1	2	yes	—
1688	#95	C₂⁴	1	1	yes	characteristic
1689	#95	C₂⁴	1	1	yes	characteristic
1690	#95	C₂⁴	1	1	yes	characteristic
1691	#95	C₂⁴	1	1	yes	characteristic
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	1	yes	characteristic
1698	#95	C₂⁴	1	1	yes	characteristic
1699	#95	C₂⁴	1	1	yes	characteristic
1700	#95	C₂⁴	1	2	yes	—
1701	#95	C₂⁴	1	2	yes	—
1702	#95	C₂⁴	1	2	yes	—
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	1	yes	characteristic
1711	#95	C₂⁴	1	1	yes	characteristic
1712	#95	C₂⁴	1	1	yes	characteristic
1713	#95	C₂⁴	1	1	yes	characteristic
1714	#95	C₂⁴	1	2	yes	—
1715	#95	C₂⁴	1	2	yes	—
1716	#95	C₂⁴	1	2	yes	—
1717	#95	C₂⁴	1	1	yes	characteristic
1718	#95	C₂⁴	1	1	yes	characteristic
1719	#95	C₂⁴	1	1	yes	characteristic
1720	#95	C₂⁴	1	1	yes	characteristic
1721	#95	C₂⁴	1	1	yes	characteristic
1722	#95	C₂⁴	1	1	yes	characteristic
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	2	yes	—
1732	#95	C₂⁴	1	1	yes	characteristic
1733	#95	C₂⁴	1	2	yes	—
1734	#95	C₂⁴	1	1	yes	characteristic
1735	#95	C₂⁴	1	2	yes	—
1736	#95	C₂⁴	1	1	yes	characteristic
1737	#95	C₂⁴	1	1	yes	characteristic
1738	#95	C₂⁴	1	1	yes	characteristic
1739	#95	C₂⁴	1	1	yes	characteristic
1740	#95	C₂⁴	1	1	yes	characteristic
1741	#95	C₂⁴	1	1	yes	characteristic
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	1	yes	characteristic
1746	#95	C₂⁴	1	1	yes	characteristic
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	2	yes	—
1762	#95	C₂⁴	1	2	yes	—
1763	#95	C₂⁴	1	1	yes	characteristic
1764	#95	C₂⁴	1	2	yes	—
1765	#95	C₂⁴	1	2	yes	—
1766	#95	C₂⁴	1	2	yes	—
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	2	yes	—
1771	#95	C₂⁴	1	1	yes	characteristic
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	1	yes	characteristic
1782	#95	C₂⁴	1	2	yes	—
1783	#95	C₂⁴	1	2	yes	—
1784	#95	C₂⁴	1	2	yes	—
1785	#95	C₂⁴	1	1	yes	characteristic
1786	#95	C₂⁴	1	2	yes	—
1787	#95	C₂⁴	1	1	yes	characteristic
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	#95	C₂⁴	1	2	yes	—
1806	#95	C₂⁴	1	2	yes	—
1807	#95	C₂⁴	1	2	yes	—
1808	#95	C₂⁴	1	2	yes	—
1809	#95	C₂⁴	1	2	yes	—
1810	#95	C₂⁴	1	2	yes	—
1811	#95	C₂⁴	1	2	yes	—
1812	#95	C₂⁴	1	2	yes	—
1813	C₂⁴	C₂⁵	1	1	yes	characteristic
1814	C₂⁴	C₂⁵	1	2	yes	—
1815	C₂⁴	C₂⁵	1	1	yes	characteristic
1816	C₂⁴	C₂⁵	1	1	yes	characteristic
1817	C₂⁴	C₂⁵	1	1	yes	characteristic
1818	#41	—	8	8	no	—
1819	C₂×Q₈	—	2	4	no	—
1820	C₂×Q₈	—	2	4	no	—
1821	C₂×Q₈	—	2	2	no	—
1822	C₂×Q₈	—	2	2	no	—
1823	C₂×Q₈	—	2	2	no	—
1824	C₂×Q₈	—	4	1	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	—	4	2	no	—
1834	C₂×Q₈	—	4	2	no	—
1835	C₂×Q₈	—	4	1	no	—
1836	C₂×Q₈	—	4	1	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	—	4	2	no	—
1843	C₂×D₄	—	2	2	no	—
1844	C₂×D₄	—	2	4	no	—
1845	C₂×D₄	—	2	2	no	—
1846	C₂×D₄	—	2	2	no	—
1847	C₂×D₄	—	2	2	no	—
1848	C₂×D₄	—	2	2	no	—
1849	C₂×D₄	—	2	2	no	—
1850	C₂×D₄	—	2	2	no	—
1851	C₂×D₄	—	2	2	no	—
1852	C₂×D₄	—	2	2	no	—
1853	C₂×D₄	—	4	1	no	—
1854	C₂×D₄	—	4	1	no	—
1855	C₂×D₄	—	4	2	no	—
1856	C₂×D₄	—	4	1	no	—
1857	C₂×D₄	—	4	2	no	—
1858	C₂×D₄	—	4	2	no	—
1859	C₂×D₄	—	4	1	no	—
1860	C₂×D₄	—	4	2	no	—
1861	C₂×D₄	—	4	1	no	—
1862	C₂×D₄	—	4	1	no	—
1863	C₂×D₄	—	4	2	no	—
1864	C₂×D₄	—	4	1	no	—
1865	C₂×D₄	—	4	1	no	—
1866	C₂×D₄	—	4	1	no	—
1867	C₂×D₄	—	4	1	no	—
1868	C₂×D₄	—	4	1	no	—
1869	C₂×D₄	—	4	1	no	—
1870	C₂×D₄	—	4	2	no	—
1871	C₂×D₄	—	4	2	no	—
1872	C₂×D₄	—	4	2	no	—
1873	C₂×D₄	—	4	2	no	—
1874	C₂×D₄	—	4	2	no	—
1875	C₂×D₄	—	4	2	no	—
1876	C₂²×C₄	—	2	2	no	—
1877	C₂²×C₄	—	2	2	no	—
1878	C₂²×C₄	—	2	2	no	—
1879	C₂²×C₄	—	2	2	no	—
1880	C₂²×C₄	—	2	2	no	—
1881	C₂²×C₄	—	2	2	no	—
1882	C₂²×C₄	—	2	2	no	—
1883	C₂²×C₄	—	2	2	no	—
1884	C₂²×C₄	—	2	2	no	—
1885	C₂²×C₄	—	2	2	no	—
1886	C₂²×C₄	—	2	2	no	—
1887	C₂²×C₄	—	2	2	no	—
1888	C₂²×C₄	—	2	2	no	—
1889	C₂²×C₄	—	2	2	no	—
1890	C₂²×C₄	—	2	2	no	—
1891	C₂²×C₄	—	2	2	no	—
1892	C₂²×C₄	—	2	2	no	—
1893	C₂²×C₄	—	2	4	no	—
1894	C₂²×C₄	—	2	2	no	—
1895	C₂²×C₄	—	2	2	no	—
1896	C₂²×C₄	—	2	2	no	—
1897	C₂²×C₄	—	4	1	no	—
1898	C₂²×C₄	—	4	2	no	—
1899	C₂²×C₄	—	4	2	no	—
1900	C₂²×C₄	—	4	1	no	—
1901	C₂²×C₄	—	4	1	no	—
1902	C₂²×C₄	—	4	1	no	—
1903	C₂²×C₄	—	4	2	no	—
1904	C₂²×C₄	—	4	2	no	—
1905	C₂²×C₄	—	4	2	no	—
1906	C₂²×C₄	—	4	2	no	—
1907	C₂²×C₄	—	4	2	no	—
1908	C₂²×C₄	—	4	2	no	—
1909	C₂²×C₄	—	4	2	no	—
1910	C₂²×C₄	—	4	1	no	—
1911	C₂²×C₄	—	4	2	no	—
1912	C₂²×C₄	—	4	2	no	—
1913	C₂²×C₄	—	4	2	no	—
1914	C₂²×C₄	—	4	2	no	—
1915	C₂²×C₄	—	4	2	no	—
1916	C₂²×C₄	—	4	2	no	—
1917	C₂²×C₄	—	4	1	no	—
1918	C₂²×C₄	—	4	1	no	—
1919	C₂²×C₄	—	4	2	no	—
1920	C₂²×C₄	—	4	1	no	—
1921	C₂²×C₄	—	4	1	no	—
1922	C₂²×C₄	—	4	2	no	—
1923	C₂²×C₄	2₋¹⁺⁴	1	4	yes	—
1924	C₂²×C₄	C₂⁵	1	1	yes	characteristic
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	C₂²×C₄	C₂⁵	1	2	yes	—
1931	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1932	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1933	C₂²×C₄	C₂⁵	1	2	yes	—
1934	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1935	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1936	C₂²×C₄	C₂⁵	1	2	yes	—
1937	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1938	C₂²×C₄	C₂⁵	1	2	yes	—
1939	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1940	C₂²×C₄	C₂⁵	1	2	yes	—
1941	C₂²×C₄	C₂⁵	1	2	yes	—
1942	C₂²×C₄	C₂⁵	1	2	yes	—
1943	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1944	C₂²×C₄	C₂⁵	1	2	yes	—
1945	C₂²×C₄	C₂⁵	1	2	yes	—
1946	C₂²×C₄	C₂⁵	1	2	yes	—
1947	C₂²×C₄	C₂⁵	1	2	yes	—
1948	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1949	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1950	C₂²×C₄	C₂⁵	1	2	yes	—
1951	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1952	C₂²×C₄	C₂⁵	1	2	yes	—
1953	C₂²×C₄	C₂⁵	1	2	yes	—
1954	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1955	C₂²×C₄	C₂⁵	1	2	yes	—
1956	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1957	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1958	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1959	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1960	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1961	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1962	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1963	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1964	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1965	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1966	C₄⋊C₄	—	2	2	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	4	no	—
1972	C₄⋊C₄	—	2	2	no	—
1973	C₄⋊C₄	—	2	2	no	—
1974	C₄⋊C₄	—	2	4	no	—
1975	C₄⋊C₄	—	2	4	no	—
1976	C₄⋊C₄	—	2	4	no	—
1977	C₄⋊C₄	—	2	4	no	—
1978	C₄⋊C₄	—	2	4	no	—
1979	C₄⋊C₄	—	2	2	no	—
1980	C₄⋊C₄	—	2	2	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	2	no	—
1987	C₄⋊C₄	—	2	2	no	—
1988	C₄⋊C₄	—	2	4	no	—
1989	C₄⋊C₄	—	2	4	no	—
1990	C₄⋊C₄	—	2	2	no	—
1991	C₄⋊C₄	—	2	2	no	—
1992	C₄⋊C₄	—	2	2	no	—
1993	C₄⋊C₄	—	2	2	no	—
1994	C₄⋊C₄	—	2	2	no	—
1995	C₄⋊C₄	—	2	2	no	—
1996	C₄⋊C₄	—	2	2	no	—
1997	C₄⋊C₄	—	2	2	no	—
1998	C₄⋊C₄	—	2	2	no	—
1999	C₄⋊C₄	—	2	2	no	—
2000	C₄⋊C₄	—	2	2	no	—
2001	C₄⋊C₄	—	2	2	no	—
2002	C₄⋊C₄	—	2	4	no	—
2003	C₄⋊C₄	—	2	2	no	—
2004	C₄⋊C₄	—	2	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	1	no	—
2013	C₄⋊C₄	—	4	1	no	—
2014	C₄⋊C₄	—	4	1	no	—
2015	C₄⋊C₄	—	4	1	no	—
2016	C₄⋊C₄	—	4	2	no	—
2017	C₄⋊C₄	—	4	2	no	—
2018	C₄⋊C₄	—	4	2	no	—
2019	C₄⋊C₄	—	4	2	no	—
2020	C₄⋊C₄	—	4	1	no	—
2021	C₄⋊C₄	—	4	1	no	—
2022	C₄⋊C₄	—	4	2	no	—
2023	C₄⋊C₄	—	4	2	no	—
2024	C₄⋊C₄	—	4	1	no	—
2025	C₄⋊C₄	—	4	1	no	—
2026	C₄⋊C₄	—	4	2	no	—
2027	C₄⋊C₄	—	4	1	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	2	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	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	1	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	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	2	no	—
2067	C₄⋊C₄	—	4	2	no	—
2068	C₄⋊C₄	—	4	1	no	—
2069	C₄⋊C₄	—	4	2	no	—
2070	C₄⋊C₄	—	4	2	no	—
2071	C₄⋊C₄	—	4	2	no	—
2072	C₄⋊C₄	—	4	2	no	—
2073	C₄⋊C₄	—	4	2	no	—
2074	C₄⋊C₄	—	4	2	no	—
2075	C₄⋊C₄	—	4	2	no	—
2076	C₄⋊C₄	—	4	2	no	—
2077	C₄⋊C₄	—	4	2	no	—
2078	C₄⋊C₄	—	4	2	no	—
2079	C₄⋊C₄	—	4	2	no	—
2080	C₄⋊C₄	—	4	1	no	—
2081	C₄⋊C₄	2₋¹⁺⁴	1	4	yes	—
2082	C₂²⋊C₄	—	2	4	no	—
2083	C₂²⋊C₄	—	2	2	no	—
2084	C₂²⋊C₄	—	2	4	no	—
2085	C₂²⋊C₄	—	2	2	no	—
2086	C₂²⋊C₄	—	2	2	no	—
2087	C₂²⋊C₄	—	2	4	no	—
2088	C₂²⋊C₄	—	2	2	no	—
2089	C₂²⋊C₄	—	2	2	no	—
2090	C₂²⋊C₄	—	2	2	no	—
2091	C₂²⋊C₄	—	2	2	no	—
2092	C₂²⋊C₄	—	2	2	no	—
2093	C₂²⋊C₄	—	2	2	no	—
2094	C₂²⋊C₄	—	2	2	no	—
2095	C₂²⋊C₄	—	2	2	no	—
2096	C₂²⋊C₄	—	2	4	no	—
2097	C₂²⋊C₄	—	2	2	no	—
2098	C₂²⋊C₄	—	2	2	no	—
2099	C₂²⋊C₄	—	2	2	no	—
2100	C₂²⋊C₄	—	2	2	no	—
2101	C₂²⋊C₄	—	2	2	no	—
2102	C₂²⋊C₄	—	2	4	no	—
2103	C₂²⋊C₄	—	2	4	no	—
2104	C₂²⋊C₄	—	2	4	no	—
2105	C₂²⋊C₄	—	2	2	no	—
2106	C₂²⋊C₄	—	2	4	no	—
2107	C₂²⋊C₄	—	2	2	no	—
2108	C₂²⋊C₄	—	2	2	no	—
2109	C₂²⋊C₄	—	4	2	no	—
2110	C₂²⋊C₄	—	4	1	no	—
2111	C₂²⋊C₄	—	4	1	no	—
2112	C₂²⋊C₄	—	4	2	no	—
2113	C₂²⋊C₄	—	4	1	no	—
2114	C₂²⋊C₄	—	4	1	no	—
2115	C₂²⋊C₄	—	4	2	no	—
2116	C₂²⋊C₄	—	4	2	no	—
2117	C₂²⋊C₄	—	4	2	no	—
2118	C₂²⋊C₄	—	4	2	no	—
2119	C₂²⋊C₄	—	4	2	no	—
2120	C₂²⋊C₄	—	4	2	no	—
2121	C₂²⋊C₄	—	4	2	no	—
2122	C₂²⋊C₄	—	4	2	no	—
2123	C₂²⋊C₄	—	4	1	no	—
2124	C₂²⋊C₄	—	4	2	no	—
2125	C₂²⋊C₄	—	4	1	no	—
2126	C₂²⋊C₄	—	4	2	no	—
2127	C₂²⋊C₄	—	4	2	no	—
2128	C₂²⋊C₄	—	4	1	no	—
2129	C₂²⋊C₄	—	4	1	no	—
2130	C₂²⋊C₄	—	4	1	no	—
2131	C₂²⋊C₄	—	4	2	no	—
2132	C₂²⋊C₄	—	4	2	no	—
2133	C₂²⋊C₄	—	4	2	no	—
2134	C₂²⋊C₄	—	4	2	no	—
2135	C₂²⋊C₄	—	4	2	no	—
2136	C₂²⋊C₄	—	4	2	no	—
2137	C₂²⋊C₄	—	4	2	no	—
2138	C₂²⋊C₄	—	4	2	no	—
2139	C₂²⋊C₄	—	4	2	no	—
2140	C₂²⋊C₄	—	4	2	no	—
2141	C₂²⋊C₄	—	4	2	no	—
2142	C₂²⋊C₄	—	4	2	no	—
2143	C₂²⋊C₄	—	4	2	no	—
2144	C₂²⋊C₄	—	4	1	no	—
2145	C₂²⋊C₄	—	4	1	no	—
2146	C₂²⋊C₄	—	4	1	no	—
2147	C₂²⋊C₄	—	4	2	no	—
2148	C₂²⋊C₄	—	4	2	no	—
2149	C₂²⋊C₄	—	4	2	no	—
2150	C₂²⋊C₄	—	4	2	no	—
2151	C₂²⋊C₄	—	4	2	no	—
2152	C₂²⋊C₄	—	4	2	no	—
2153	C₂²⋊C₄	—	4	1	no	—
2154	C₂²⋊C₄	—	4	2	no	—
2155	C₂²⋊C₄	—	4	2	no	—
2156	C₂²⋊C₄	—	4	1	no	—
2157	C₂²⋊C₄	—	4	2	no	—
2158	C₂²⋊C₄	—	4	1	no	—
2159	C₂²⋊C₄	—	4	2	no	—
2160	C₂²⋊C₄	—	4	2	no	—
2161	C₂²⋊C₄	—	4	2	no	—
2162	C₂²⋊C₄	—	4	2	no	—
2163	C₂²⋊C₄	—	4	1	no	—
2164	C₂²⋊C₄	—	4	1	no	—
2165	C₂²⋊C₄	—	4	1	no	—
2166	C₂²⋊C₄	—	4	2	no	—
2167	C₂²⋊C₄	—	4	1	no	—
2168	C₄²	—	2	4	no	—
2169	C₄²	—	2	4	no	—
2170	C₄²	—	2	4	no	—
2171	C₄²	—	2	2	no	—
2172	C₄²	—	2	4	no	—
2173	C₄²	—	2	4	no	—
2174	C₄²	—	2	2	no	—
2175	C₄²	—	2	2	no	—
2176	C₄²	—	2	2	no	—
2177	C₄²	—	2	2	no	—
2178	C₄²	—	2	2	no	—
2179	C₄²	—	2	2	no	—
2180	C₄²	—	2	4	no	—
2181	C₄²	—	2	2	no	—
2182	C₄²	—	2	4	no	—
2183	C₄²	—	2	2	no	—
2184	C₄²	—	2	2	no	—
2185	C₄²	—	2	2	no	—
2186	C₄²	—	2	4	no	—
2187	C₄²	—	2	2	no	—
2188	C₄²	—	2	2	no	—
2189	C₄²	—	2	4	no	—
2190	C₄²	—	2	2	no	—
2191	C₄²	—	2	2	no	—
2192	C₄²	—	2	2	no	—
2193	C₄²	—	4	1	no	—
2194	C₄²	—	4	1	no	—
2195	C₄²	—	4	1	no	—
2196	C₄²	—	4	1	no	—
2197	C₄²	—	4	2	no	—
2198	C₄²	—	4	2	no	—
2199	C₄²	—	4	2	no	—
2200	C₄²	—	4	2	no	—
2201	C₄²	—	4	2	no	—
2202	C₄²	—	4	2	no	—
2203	C₄²	—	4	2	no	—
2204	C₄²	—	4	1	no	—
2205	C₄²	—	4	2	no	—
2206	C₄²	—	4	2	no	—
2207	C₄²	—	4	1	no	—
2208	C₄²	—	4	2	no	—
2209	C₄²	—	4	1	no	—
2210	C₄²	—	4	2	no	—
2211	C₄²	—	4	1	no	—
2212	C₄²	H(5,𝔽₂)	1	4	yes	—
2213	C₂³	—	2	1	no	—
2214	C₂³	—	2	1	no	—
2215	C₂³	—	2	1	no	—
2216	C₂³	—	2	1	no	—
2217	C₂³	—	2	1	no	—
2218	C₂³	—	2	1	no	—
2219	C₂³	—	2	1	no	—
2220	C₂³	—	2	2	no	—
2221	C₂³	—	2	1	no	—
2222	C₂³	—	2	1	no	—
2223	C₂³	—	2	2	no	—
2224	C₂³	—	2	1	no	—
2225	C₂³	—	2	1	no	—
2226	C₂³	—	2	1	no	—
2227	C₂³	—	2	1	no	—
2228	C₂³	—	2	2	no	—
2229	C₂³	—	2	1	no	—
2230	C₂³	—	2	1	no	—
2231	C₂³	—	2	1	no	—
2232	C₂³	—	2	2	no	—
2233	C₂³	—	2	1	no	—
2234	C₂³	—	2	1	no	—
2235	C₂³	—	2	1	no	—
2236	C₂³	—	2	1	no	—
2237	C₂³	—	2	2	no	—
2238	C₂³	—	2	2	no	—
2239	C₂³	—	2	1	no	—
2240	C₂³	—	2	1	no	—
2241	C₂³	—	2	1	no	—
2242	C₂³	—	2	1	no	—
2243	C₂³	—	2	1	no	—
2244	C₂³	—	2	1	no	—
2245	C₂³	—	2	1	no	—
2246	C₂³	—	2	2	no	—
2247	C₂³	C₂×2₋¹⁺⁴	1	2	yes	—
2248	C₂³	C₂⁶	1	1	yes	characteristic
2249	Q₈	—	4	4	no	—
2250	Q₈	—	8	4	no	—
2251	Q₈	—	8	4	no	—
2252	Q₈	—	8	2	no	—
2253	Q₈	—	8	4	no	—
2254	Q₈	—	8	4	no	—
2255	Q₈	—	16	2	no	—
2256	Q₈	—	16	2	no	—
2257	D₄	—	4	4	no	—
2258	D₄	—	4	4	no	—
2259	D₄	—	8	2	no	—
2260	D₄	—	8	2	no	—
2261	D₄	—	8	2	no	—
2262	D₄	—	8	4	no	—
2263	D₄	—	8	2	no	—
2264	D₄	—	8	2	no	—
2265	D₄	—	8	4	no	—
2266	D₄	—	16	2	no	—
2267	D₄	—	16	2	no	—
2268	C₂×C₄	—	2	8	no	—
2269	C₂×C₄	—	2	1	no	—
2270	C₂×C₄	—	2	1	no	—
2271	C₂×C₄	—	2	1	no	—
2272	C₂×C₄	—	2	1	no	—
2273	C₂×C₄	—	2	1	no	—
2274	C₂×C₄	—	2	1	no	—
2275	C₂×C₄	—	2	1	no	—
2276	C₂×C₄	—	2	1	no	—
2277	C₂×C₄	—	2	1	no	—
2278	C₂×C₄	—	2	1	no	—
2279	C₂×C₄	—	2	1	no	—
2280	C₂×C₄	—	2	1	no	—
2281	C₂×C₄	—	2	1	no	—
2282	C₂×C₄	—	2	1	no	—
2283	C₂×C₄	—	2	1	no	—
2284	C₂×C₄	—	2	1	no	—
2285	C₂×C₄	—	2	8	no	—
2286	C₂×C₄	—	2	2	no	—
2287	C₂×C₄	—	2	2	no	—
2288	C₂×C₄	—	2	2	no	—
2289	C₂×C₄	—	2	2	no	—
2290	C₂×C₄	—	2	2	no	—
2291	C₂×C₄	—	2	2	no	—
2292	C₂×C₄	—	2	1	no	—
2293	C₂×C₄	—	2	1	no	—
2294	C₂×C₄	—	2	2	no	—
2295	C₂×C₄	—	2	2	no	—
2296	C₂×C₄	—	2	2	no	—
2297	C₂×C₄	—	2	2	no	—
2298	C₂×C₄	—	2	1	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	2	no	—
2304	C₂×C₄	—	2	1	no	—
2305	C₂×C₄	—	2	1	no	—
2306	C₂×C₄	—	2	1	no	—
2307	C₂×C₄	—	2	2	no	—
2308	C₂×C₄	—	2	2	no	—
2309	C₂×C₄	—	2	2	no	—
2310	C₂×C₄	—	2	1	no	—
2311	C₂×C₄	—	2	1	no	—
2312	C₂×C₄	—	2	2	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	—	2	1	no	—
2318	C₂×C₄	—	2	1	no	—
2319	C₂×C₄	—	2	2	no	—
2320	C₂×C₄	—	2	1	no	—
2321	C₂×C₄	—	2	1	no	—
2322	C₂×C₄	—	2	1	no	—
2323	C₂×C₄	—	2	2	no	—
2324	C₂×C₄	—	2	1	no	—
2325	C₂×C₄	—	2	1	no	—
2326	C₂×C₄	—	2	1	no	—
2327	C₂×C₄	—	2	1	no	—
2328	C₂×C₄	—	2	2	no	—
2329	C₂×C₄	—	2	1	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	2	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	1	no	—
2340	C₂×C₄	—	2	1	no	—
2341	C₂×C₄	—	2	2	no	—
2342	C₂×C₄	—	2	2	no	—
2343	C₂×C₄	—	2	1	no	—
2344	C₂×C₄	—	2	1	no	—
2345	C₂×C₄	—	2	1	no	—
2346	C₂×C₄	—	2	1	no	—
2347	C₂×C₄	—	2	2	no	—
2348	C₂×C₄	—	2	2	no	—
2349	C₂×C₄	—	2	2	no	—
2350	C₂×C₄	—	2	2	no	—
2351	C₂×C₄	—	2	2	no	—
2352	C₂×C₄	—	2	2	no	—
2353	C₂×C₄	—	2	1	no	—
2354	C₂×C₄	—	2	2	no	—
2355	C₂×C₄	—	2	1	no	—
2356	C₂×C₄	—	2	1	no	—
2357	C₂×C₄	—	2	2	no	—
2358	C₂×C₄	—	2	2	no	—
2359	C₂×C₄	—	2	2	no	—
2360	C₂×C₄	—	2	1	no	—
2361	C₂×C₄	—	2	1	no	—
2362	C₂×C₄	—	2	1	no	—
2363	C₂×C₄	—	2	2	no	—
2364	C₂×C₄	—	2	2	no	—
2365	C₂×C₄	—	2	2	no	—
2366	C₂×C₄	—	2	1	no	—
2367	C₂×C₄	—	2	1	no	—
2368	C₂×C₄	—	2	1	no	—
2369	C₂×C₄	—	2	2	no	—
2370	C₂×C₄	—	2	1	no	—
2371	C₂×C₄	—	2	2	no	—
2372	C₂×C₄	—	2	1	no	—
2373	C₂×C₄	—	2	2	no	—
2374	C₂×C₄	—	2	1	no	—
2375	C₂×C₄	—	2	1	no	—
2376	C₂×C₄	—	2	2	no	—
2377	C₂×C₄	—	2	2	no	—
2378	C₂×C₄	—	2	2	no	—
2379	C₂×C₄	—	2	1	no	—
2380	C₂×C₄	—	2	2	no	—
2381	C₂×C₄	—	2	1	no	—
2382	C₂×C₄	—	2	2	no	—
2383	C₂×C₄	—	2	2	no	—
2384	C₂×C₄	—	2	1	no	—
2385	C₂×C₄	—	4	4	no	—
2386	C₂×C₄	—	4	4	no	—
2387	C₂×C₄	—	4	4	no	—
2388	C₂×C₄	—	4	4	no	—
2389	C₂×C₄	—	8	4	no	—
2390	C₂×C₄	—	8	2	no	—
2391	C₂×C₄	—	8	2	no	—
2392	C₂×C₄	—	8	2	no	—
2393	C₂×C₄	—	8	2	no	—
2394	C₂×C₄	—	8	4	no	—
2395	C₂×C₄	—	8	4	no	—
2396	C₂×C₄	—	8	4	no	—
2397	C₂×C₄	—	8	4	no	—
2398	C₂×C₄	—	8	4	no	—
2399	C₂×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
2400	C₂×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
2401	C₂×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
2402	C₂×C₄	C₂×2₋¹⁺⁴	1	2	yes	—
2403	C₂×C₄	C₂×2₋¹⁺⁴	1	2	yes	—
2404	C₂×C₄	C₂×2₋¹⁺⁴	1	2	yes	—
2405	C₂×C₄	C₂×2₋¹⁺⁴	1	2	yes	—
2406	C₂×C₄	C₂×2₋¹⁺⁴	1	2	yes	—
2407	C₂×C₄	#585	1	2	yes	—
2408	C₂×C₄	#585	1	2	yes	—
2409	C₂×C₄	#585	1	2	yes	—
2410	C₂²	—	2	2	no	—
2411	C₂²	—	2	2	no	—
2412	C₂²	—	2	2	no	—
2413	C₂²	—	4	1	no	—
2414	C₂²	—	4	1	no	—
2415	C₂²	—	4	1	no	—
2416	C₂²	—	4	1	no	—
2417	C₂²	—	4	1	no	—
2418	C₂²	—	4	1	no	—
2419	C₂²	—	4	1	no	—
2420	C₂²	—	4	2	no	—
2421	C₂²	—	4	2	no	—
2422	C₂²	—	4	1	no	—
2423	C₂²	—	4	1	no	—
2424	C₂²	—	4	1	no	—
2425	C₂²	—	4	1	no	—
2426	C₂²	—	4	1	no	—
2427	C₂²	—	4	1	no	—
2428	C₂²	—	4	2	no	—
2429	C₂²	—	4	1	no	—
2430	C₂²	—	4	2	no	—
2431	C₂²	—	4	1	no	—
2432	C₂²	—	4	1	no	—
2433	C₂²	—	4	1	no	—
2434	C₂²	—	4	2	no	—
2435	C₂²	—	4	1	no	—
2436	C₂²	—	4	1	no	—
2437	C₂²	—	4	1	no	—
2438	C₂²	—	4	1	no	—
2439	C₂²	—	4	1	no	—
2440	C₂²	—	4	2	no	—
2441	C₂²	—	4	2	no	—
2442	C₂²	—	4	1	no	—
2443	C₂²	—	4	1	no	—
2444	C₂²	—	4	1	no	—
2445	C₂²	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
2446	C₂²	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
2447	C₂²	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
2448	C₂²	C₂×#585	1	1	yes	characteristic
2449	C₂²	C₂×#585	1	1	yes	characteristic
2450	C₂²	C₂×#585	1	1	yes	characteristic
2451	C₂²	H(7,𝔽₂)	1	1	yes	characteristic
2452	C₄	—	2	2	no	—
2453	C₄	—	2	2	no	—
2454	C₄	—	2	2	no	—
2455	C₄	—	2	2	no	—
2456	C₄	—	2	2	no	—
2457	C₄	—	2	2	no	—
2458	C₄	—	2	2	no	—
2459	C₄	—	2	2	no	—
2460	C₄	—	4	1	no	—
2461	C₄	—	4	1	no	—
2462	C₄	—	4	1	no	—
2463	C₄	—	4	2	no	—
2464	C₄	—	4	2	no	—
2465	C₄	—	4	1	no	—
2466	C₄	—	4	2	no	—
2467	C₄	—	4	2	no	—
2468	C₄	—	4	2	no	—
2469	C₄	—	4	1	no	—
2470	C₄	—	4	1	no	—
2471	C₄	—	4	1	no	—
2472	C₄	—	4	2	no	—
2473	C₄	—	4	1	no	—
2474	C₄	—	4	2	no	—
2475	C₄	—	4	1	no	—
2476	C₄	—	4	1	no	—
2477	C₄	—	4	1	no	—
2478	C₄	—	4	2	no	—
2479	C₄	—	4	1	no	—
2480	C₄	—	4	2	no	—
2481	C₄	—	4	2	no	—
2482	C₄	—	4	2	no	—
2483	C₄	—	4	2	no	—
2484	C₄	—	4	1	no	—
2485	C₄	—	4	1	no	—
2486	C₄	—	4	2	no	—
2487	C₄	—	4	1	no	—
2488	C₄	—	4	1	no	—
2489	C₄	—	4	1	no	—
2490	C₄	—	4	2	no	—
2491	C₄	—	4	1	no	—
2492	C₄	—	4	2	no	—
2493	C₄	#3564	1	4	yes	—
2494	C₂	—	4	2	no	—
2495	C₂	—	8	1	no	—
2496	C₂	—	8	1	no	—
2497	C₂	—	8	1	no	—
2498	C₂	—	8	2	no	—
2499	C₂	C₂×#3564	1	1	yes	characteristic
2500	C₂	#62759	1	1	yes	characteristic
2501	C₂	#62833	1	1	yes	characteristic
2502	C₂	#62929	1	1	yes	characteristic
2503	C₂	#62930	1	1	yes	characteristic
2504	C₂	#62952	1	1	yes	characteristic
2505	C₂	#63023	1	1	yes	characteristic

	subgroup	G/H
center, commutator, Frattini, socle, cosocle	C₂³	C₂⁶
prime radical	#42923	C₂
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. #59498	C₂	semidirect
2. #59435	C₂	semidirect
3. #59292	C₂	semidirect
4. #58840	C₂	semidirect
5. #56168	C₂	semidirect
6. #55183	C₂	semidirect
7. #54400	C₂	semidirect
8. #53553	C₂	semidirect
9. #53548	C₂	semidirect
10. #53082	C₂	semidirect
11. #53048	C₂	semidirect
12. #52955	C₂	semidirect
13. #51508	C₂	semidirect
14. #50905	C₂	semidirect
15. #45754	C₂	semidirect
16. #45633	C₂	semidirect
17. #45502	C₂	semidirect
18. #44908	C₂	semidirect
19. #44898	C₂	semidirect
20. #44851	C₂	semidirect
21. #42973	C₂	semidirect
23. #42587	C₂	semidirect
24. #42577	C₂	semidirect
25. #42357	C₂	semidirect
26. #42314	C₂	semidirect
27. #40142	C₂	semidirect
28. #39937	C₂	semidirect
29. #39607	C₂	semidirect
30. #39534	C₂	semidirect
31. #39295	C₂	semidirect
32. #38639	C₂	semidirect
33. #38374	C₂	semidirect
34. #37969	C₂	semidirect
35. #37969	C₂	semidirect
36. #37878	C₂	semidirect
37. #37592	C₂	semidirect
38. #37339	C₂	semidirect
39. #37307	C₂	semidirect
40. #37260	C₂	semidirect
41. #36391	C₂	semidirect
42. #36257	C₂	semidirect
43. #36209	C₂	semidirect
44. #35170	C₂	semidirect
45. #35160	C₂	semidirect
46. #34938	C₂	semidirect
47. #34861	C₂	semidirect

Maximal subgroups

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

subgroup	index
#59498	2
#59435	2
#59292	2
#58840	2
#56168	2
#55183	2
#54400	2
#53553	2
#53548	2
#53082	2
#53048	2
#52955	2
#51508	2
#50905	2
#45754	2
#45633	2
#45502	2
#44908	2
#44898	2
#44851	2
#42973	2
#42923	2
#42587	2
#42577	2
#42357	2
#42314	2
#40142	2
#39937	2
#39607	2
#39534	2
#39295	2
#38639	2
#38374	2
#37969	2
#37878	2
#37592	2
#37339	2
#37307	2
#37260	2
#36391	2
#36257	2
#36209	2
#35170	2
#35160	2
#34938	2
#34861	2