Subgroups — #8726678

Order 512.

4285 conjugacy classes of subgroups.

The subgroup lattice has 2433 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#59922	C₂	1	1	yes	maximal, characteristic, complemented
2	#59719	C₂	1	1	yes	maximal, characteristic, complemented
3	#59692	C₂	1	1	yes	maximal, characteristic, complemented
4	#59682	C₂	1	1	yes	maximal, characteristic, complemented
5	#59666	C₂	1	1	yes	maximal, characteristic, complemented
6	#59456	C₂	1	1	yes	maximal, characteristic, complemented
7	#59421	C₂	1	1	yes	maximal, characteristic
8	#59114	C₂	1	1	yes	maximal, characteristic, complemented
9	#59081	C₂	1	1	yes	maximal, characteristic, complemented
10	#58827	C₂	1	2	yes	maximal, complemented
11	#58689	C₂	1	2	yes	maximal, complemented
12	#58406	C₂	1	2	yes	maximal, complemented
13	#57618	C₂	1	2	yes	maximal, complemented
14	#57301	C₂	1	2	yes	maximal, complemented
15	#57198	C₂	1	2	yes	maximal, complemented
16	#56203	C₂	1	2	yes	maximal, complemented
17	#53138	C₂	1	1	yes	maximal, characteristic, complemented
18	#53124	C₂	1	1	yes	maximal, characteristic, complemented
19	#53049	C₂	1	1	yes	maximal, characteristic
20	#52298	C₂	1	1	yes	maximal, characteristic, complemented
21	#47341	C₂	1	2	yes	maximal, complemented
22	#47292	C₂	1	2	yes	maximal, complemented
23	#47032	C₂	1	2	yes	maximal, complemented
24	#45294	C₂	1	1	yes	maximal, characteristic, complemented
25	#45284	C₂	1	1	yes	maximal, characteristic, complemented
26	#45149	C₂	1	2	yes	maximal, complemented
27	#44934	C₂	1	1	yes	maximal, characteristic, complemented
28	#44202	C₂	1	2	yes	maximal, complemented
29	#44145	C₂	1	2	yes	maximal, complemented
30	#42834	C₂	1	1	yes	maximal, characteristic, complemented
31	#42763	C₂	1	1	yes	maximal, characteristic, complemented
32	#42701	C₂	1	1	yes	maximal, characteristic, complemented
33	#41787	C₂	1	2	yes	maximal, complemented
34	#41754	C₂	1	2	yes	maximal, complemented
35	#41279	C₂	1	2	yes	maximal, complemented
36	#40194	C₂	1	1	yes	maximal, characteristic
37	#40190	C₂	1	1	yes	maximal, characteristic, complemented
38	#40074	C₂	1	1	yes	maximal, characteristic, complemented
39	#40034	C₂	1	1	yes	maximal, characteristic, complemented
40	#39879	C₂	1	1	yes	maximal, characteristic, complemented
41	#39663	C₂	1	1	yes	maximal, characteristic, complemented
42	#39653	C₂	1	1	yes	maximal, characteristic, complemented
43	#39219	C₂	1	1	yes	maximal, characteristic, complemented
44	#38954	C₂	1	1	yes	maximal, characteristic, complemented
45	#36007	C₂	1	1	yes	maximal, characteristic, complemented
46	#35817	C₂	1	1	yes	maximal, characteristic, complemented
47	#35711	C₂	1	1	yes	maximal, characteristic, complemented
48	C₂×Q₈²	C₂²	1	1	yes	characteristic
49	C₂×#556	C₂²	1	1	yes	characteristic
50	C₂×#556	C₂²	1	1	yes	characteristic
51	C₂×D₄×Q₈	C₂²	1	1	yes	characteristic
52	C₂×#533	C₂²	1	1	yes	characteristic
53	C₂×#519	C₂²	1	1	yes	characteristic
54	#2863	C₂²	1	1	yes	characteristic
55	#2862	C₂²	1	1	yes	characteristic
56	#2850	C₂²	1	1	yes	characteristic
57	#2839	C₂²	1	2	yes	—
58	#2839	C₂²	1	2	yes	—
59	#2838	C₂²	1	2	yes	—
60	#2837	C₂²	1	2	yes	—
61	#2837	C₂²	1	2	yes	—
62	#2837	C₂²	1	2	yes	—
63	#2836	C₂²	1	2	yes	—
64	#2833	C₂²	1	2	yes	—
65	#2831	C₂²	1	2	yes	—
66	#2831	C₂²	1	2	yes	—
67	#2831	C₂²	1	2	yes	—
68	#2830	C₂²	1	2	yes	—
69	#2827	C₂²	1	2	yes	—
70	#2821	C₂²	1	2	yes	—
71	#2816	C₂²	1	2	yes	—
72	#2808	C₂²	1	2	yes	—
73	#2808	C₂²	1	2	yes	—
74	#2808	C₂²	1	2	yes	—
75	#2806	C₂²	1	2	yes	—
76	#2802	C₂²	1	2	yes	—
77	#2802	C₂²	1	2	yes	—
78	#2802	C₂²	1	2	yes	—
79	#2801	C₂²	1	2	yes	—
80	#2800	C₂²	1	2	yes	—
81	#2798	C₂²	1	2	yes	—
82	#2796	C₂²	1	2	yes	—
83	#2793	C₂²	1	2	yes	—
84	#2793	C₂²	1	1	yes	characteristic
85	#2788	C₂²	1	2	yes	—
86	#2788	C₂²	1	2	yes	—
87	#2787	C₂²	1	1	yes	characteristic
88	#2783	C₂²	1	2	yes	—
89	#2783	C₂²	1	2	yes	—
90	#2783	C₂²	1	2	yes	—
91	#2782	C₂²	1	2	yes	—
92	#2781	C₂²	1	2	yes	—
93	#2780	C₂²	1	2	yes	—
94	#2777	C₂²	1	2	yes	—
95	#2777	C₂²	1	2	yes	—
96	#2775	C₂²	1	2	yes	—
97	#2775	C₂²	1	2	yes	—
98	#2775	C₂²	1	2	yes	—
99	#2775	C₂²	1	2	yes	—
100	#2774	C₂²	1	2	yes	—
101	#2774	C₂²	1	2	yes	—
102	#2774	C₂²	1	1	yes	characteristic
103	#2774	C₂²	1	2	yes	—
104	#2773	C₂²	1	1	yes	characteristic
105	#2773	C₂²	1	2	yes	—
106	#2772	C₂²	1	2	yes	—
107	#2772	C₂²	1	2	yes	—
108	#2770	C₂²	1	2	yes	—
109	#2768	C₂²	1	2	yes	—
110	#2768	C₂²	1	2	yes	—
111	#2768	C₂²	1	2	yes	—
112	#2767	C₂²	1	2	yes	—
113	#2767	C₂²	1	2	yes	—
114	#2767	C₂²	1	2	yes	—
115	#2767	C₂²	1	2	yes	—
116	#2766	C₂²	1	2	yes	—
117	#2766	C₂²	1	1	yes	characteristic
118	#2762	C₂²	1	2	yes	—
119	#2762	C₂²	1	1	yes	characteristic
120	#2761	C₂²	1	2	yes	—
121	#2761	C₂²	1	2	yes	—
122	#2759	C₂²	1	1	yes	characteristic
123	#2758	C₂²	1	2	yes	—
124	#2758	C₂²	1	2	yes	—
125	#2757	C₂²	1	2	yes	—
126	#2755	C₂²	1	2	yes	—
127	#2755	C₂²	1	2	yes	—
128	#2755	C₂²	1	2	yes	—
129	#2755	C₂²	1	2	yes	—
130	#2755	C₂²	1	2	yes	—
131	#2754	C₂²	1	2	yes	—
132	#2754	C₂²	1	2	yes	—
133	#2751	C₂²	1	2	yes	—
134	#2750	C₂²	1	2	yes	—
135	#2750	C₂²	1	2	yes	—
136	#2745	C₂²	1	2	yes	—
137	#2745	C₂²	1	2	yes	—
138	#2739	C₂²	1	2	yes	—
139	#2739	C₂²	1	2	yes	—
140	#2738	C₂²	1	1	yes	characteristic
141	#2734	C₂²	1	2	yes	—
142	#2729	C₂²	1	2	yes	—
143	#2729	C₂²	1	2	yes	—
144	#2729	C₂²	1	2	yes	—
145	#2729	C₂²	1	2	yes	—
146	#2729	C₂²	1	2	yes	—
147	#2725	C₂²	1	2	yes	—
148	#2725	C₂²	1	2	yes	—
149	#2725	C₂²	1	1	yes	characteristic
150	#2723	C₂²	1	2	yes	—
151	#2723	C₂²	1	1	yes	characteristic
152	#2720	C₂²	1	1	yes	characteristic
153	#2716	C₂²	1	2	yes	—
154	#2716	C₂²	1	2	yes	—
155	#2715	C₂²	1	1	yes	characteristic
156	#2715	C₂²	1	2	yes	—
157	#2713	C₂²	1	2	yes	—
158	#2713	C₂²	1	1	yes	characteristic
159	#2711	C₂²	1	2	yes	—
160	#2708	C₂²	1	2	yes	—
161	#2707	C₂²	1	1	yes	characteristic
162	#2704	C₂²	1	2	yes	—
163	#2704	C₂²	1	2	yes	—
164	#2702	C₂²	1	2	yes	—
165	#2702	C₂²	1	2	yes	—
166	#2702	C₂²	1	2	yes	—
167	#2698	C₂²	1	2	yes	—
168	#2698	C₂²	1	1	yes	characteristic
169	#2698	C₂²	1	2	yes	—
170	#2698	C₂²	1	2	yes	—
171	#2698	C₂²	1	2	yes	—
172	#2698	C₂²	1	2	yes	—
173	#2683	C₂²	1	2	yes	—
174	#2677	C₂²	1	2	yes	—
175	#2677	C₂²	1	2	yes	—
176	#2674	C₂²	1	1	yes	characteristic
177	#2674	C₂²	1	2	yes	—
178	#2666	C₂²	1	2	yes	—
179	#2666	C₂²	1	2	yes	—
180	#2666	C₂²	1	2	yes	—
181	#2655	C₂²	1	2	yes	—
182	#2655	C₂²	1	2	yes	—
183	#2654	C₂²	1	2	yes	—
184	#2653	C₂²	1	2	yes	—
185	#2652	C₂²	1	2	yes	—
186	#2650	C₂²	1	2	yes	—
187	#2650	C₂²	1	2	yes	—
188	#2650	C₂²	1	2	yes	—
189	#2650	C₂²	1	2	yes	—
190	#2649	C₂²	1	2	yes	—
191	#2642	C₂²	1	1	yes	characteristic
192	#2637	C₂²	1	2	yes	—
193	#2637	C₂²	1	2	yes	—
194	#2637	C₂²	1	2	yes	—
195	#2628	C₂²	1	1	yes	characteristic
196	#2628	C₂²	1	2	yes	—
197	#2625	C₂²	1	1	yes	characteristic
198	#2621	C₂²	1	2	yes	—
199	#2620	C₂²	1	1	yes	characteristic
200	#2612	C₂²	1	2	yes	—
201	#2609	C₂²	1	2	yes	—
202	#2609	C₂²	1	2	yes	—
203	#2608	C₂²	1	2	yes	—
204	#2604	C₂²	1	2	yes	—
205	#2601	C₂²	1	2	yes	—
206	#2601	C₂²	1	2	yes	—
207	#2601	C₂²	1	2	yes	—
208	#2601	C₂²	1	2	yes	—
209	#2597	C₂²	1	2	yes	—
210	#2597	C₂²	1	2	yes	—
211	#2597	C₂²	1	2	yes	—
212	#2596	C₂²	1	2	yes	—
213	#2594	C₂²	1	2	yes	—
214	#2594	C₂²	1	2	yes	—
215	#2593	C₂²	1	2	yes	—
216	#2590	C₂²	1	2	yes	—
217	#2589	C₂²	1	2	yes	—
218	#2589	C₂²	1	2	yes	—
219	#2587	C₂²	1	2	yes	—
220	#2587	C₂²	1	2	yes	—
221	#2587	C₂²	1	2	yes	—
222	#2586	C₂²	1	2	yes	—
223	#2586	C₂²	1	2	yes	—
224	#2585	C₂²	1	2	yes	—
225	#2585	C₂²	1	2	yes	—
226	#2585	C₂²	1	2	yes	—
227	#2584	C₂²	1	2	yes	—
228	#2582	C₂²	1	1	yes	characteristic
229	#2582	C₂²	1	1	yes	characteristic
230	#2581	C₂²	1	1	yes	characteristic
231	#2581	C₂²	1	1	yes	characteristic
232	#2581	C₂²	1	2	yes	—
233	#2581	C₂²	1	2	yes	—
234	#2581	C₂²	1	1	yes	characteristic
235	#2580	C₂²	1	1	yes	characteristic
236	#2575	C₂²	1	2	yes	—
237	#2575	C₂²	1	2	yes	—
238	#2574	C₂²	1	2	yes	—
239	#2571	C₂²	1	1	yes	characteristic
240	#2571	C₂²	1	1	yes	characteristic
241	#2568	C₂²	1	1	yes	characteristic
242	#2568	C₂²	1	1	yes	characteristic
243	#2568	C₂²	1	2	yes	—
244	#2568	C₂²	1	1	yes	characteristic
245	#2565	C₂²	1	1	yes	characteristic
246	#2565	C₂²	1	1	yes	characteristic
247	#2565	C₂²	1	1	yes	characteristic
248	#2560	C₂²	1	2	yes	—
249	#2560	C₂²	1	2	yes	—
250	#2560	C₂²	1	2	yes	—
251	#2556	C₂²	1	2	yes	—
252	#2552	C₂²	1	1	yes	characteristic
253	#2552	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	2	yes	—
258	#2546	C₂²	1	1	yes	characteristic
259	#2546	C₂²	1	1	yes	characteristic
260	#2546	C₂²	1	1	yes	characteristic
261	#2545	C₂²	1	1	yes	characteristic
262	#2545	C₂²	1	1	yes	characteristic
263	#2545	C₂²	1	1	yes	characteristic
264	#2545	C₂²	1	1	yes	characteristic
265	#2537	C₂²	1	1	yes	characteristic
266	#2532	C₂²	1	2	yes	—
267	#2529	C₂²	1	2	yes	—
268	#2529	C₂²	1	2	yes	—
269	#2529	C₂²	1	2	yes	—
270	#2528	C₂²	1	2	yes	—
271	#2525	C₂²	1	2	yes	—
272	#2522	C₂²	1	2	yes	—
273	#2520	C₂²	1	2	yes	—
274	#2520	C₂²	1	2	yes	—
275	#2520	C₂²	1	2	yes	—
276	#2520	C₂²	1	2	yes	—
277	#2520	C₂²	1	2	yes	—
278	#2519	C₂²	1	2	yes	—
279	#2518	C₂²	1	2	yes	—
280	#2515	C₂²	1	2	yes	—
281	#2515	C₂²	1	2	yes	—
282	#2514	C₂²	1	2	yes	—
283	#2514	C₂²	1	1	yes	characteristic
284	#2513	C₂²	1	2	yes	—
285	#2513	C₂²	1	1	yes	characteristic
286	#2512	C₂²	1	1	yes	characteristic
287	#2512	C₂²	1	2	yes	—
288	#2511	C₂²	1	1	yes	characteristic
289	#2511	C₂²	1	1	yes	characteristic
290	#2511	C₂²	1	2	yes	—
291	#2511	C₂²	1	1	yes	characteristic
292	#2511	C₂²	1	1	yes	characteristic
293	#2509	C₂²	1	1	yes	characteristic
294	#2508	C₂²	1	2	yes	—
295	#2508	C₂²	1	2	yes	—
296	#2507	C₂²	1	2	yes	—
297	#2507	C₂²	1	1	yes	characteristic
298	#2507	C₂²	1	2	yes	—
299	#2507	C₂²	1	1	yes	characteristic
300	#2507	C₂²	1	1	yes	characteristic
301	#2500	C₂²	1	1	yes	characteristic
302	#2499	C₂²	1	1	yes	characteristic
303	#2499	C₂²	1	2	yes	—
304	#2499	C₂²	1	2	yes	—
305	#2499	C₂²	1	1	yes	characteristic
306	#2496	C₂²	1	1	yes	characteristic
307	#2494	C₂²	1	1	yes	characteristic
308	#2492	C₂²	1	1	yes	characteristic
309	#2492	C₂²	1	1	yes	characteristic
310	#2492	C₂²	1	1	yes	characteristic
311	#2490	C₂²	1	1	yes	characteristic
312	#2490	C₂²	1	1	yes	characteristic
313	#2489	C₂²	1	1	yes	characteristic
314	#2479	C₂²	1	2	yes	—
315	#2478	C₂²	1	2	yes	—
316	#2478	C₂²	1	2	yes	—
317	#2478	C₂²	1	2	yes	—
318	#2477	C₂²	1	2	yes	—
319	#2474	C₂²	1	2	yes	—
320	#2474	C₂²	1	2	yes	—
321	#2474	C₂²	1	2	yes	—
322	#2469	C₂²	1	2	yes	—
323	#2469	C₂²	1	2	yes	—
324	#2465	C₂²	1	2	yes	—
325	#2465	C₂²	1	2	yes	—
326	#2465	C₂²	1	2	yes	—
327	#2462	C₂²	1	2	yes	—
328	#2462	C₂²	1	2	yes	—
329	#2453	C₂²	1	1	yes	characteristic
330	#2453	C₂²	1	2	yes	—
331	#2453	C₂²	1	1	yes	characteristic
332	#2452	C₂²	1	1	yes	characteristic
333	#2452	C₂²	1	1	yes	characteristic
334	#2451	C₂²	1	1	yes	characteristic
335	#2451	C₂²	1	2	yes	—
336	#2451	C₂²	1	1	yes	characteristic
337	#2451	C₂²	1	2	yes	—
338	#2451	C₂²	1	1	yes	characteristic
339	#2451	C₂²	1	1	yes	characteristic
340	#2451	C₂²	1	1	yes	characteristic
341	#2451	C₂²	1	1	yes	characteristic
342	#2451	C₂²	1	1	yes	characteristic
343	#2451	C₂²	1	1	yes	characteristic
344	#2448	C₂²	1	1	yes	characteristic
345	#2448	C₂²	1	1	yes	characteristic
346	#2447	C₂²	1	1	yes	characteristic
347	#2447	C₂²	1	1	yes	characteristic
348	#2447	C₂²	1	1	yes	characteristic
349	#2447	C₂²	1	1	yes	characteristic
350	#2446	C₂²	1	1	yes	characteristic
351	#2446	C₂²	1	1	yes	characteristic
352	#2446	C₂²	1	2	yes	—
353	#2446	C₂²	1	2	yes	—
354	#2446	C₂²	1	2	yes	—
355	#2446	C₂²	1	1	yes	characteristic
356	#2441	C₂²	1	1	yes	characteristic
357	#2439	C₂²	1	2	yes	—
358	#2439	C₂²	1	1	yes	characteristic
359	#2439	C₂²	1	1	yes	characteristic
360	#2439	C₂²	1	1	yes	characteristic
361	#2439	C₂²	1	2	yes	—
362	#2439	C₂²	1	2	yes	—
363	#2436	C₂²	1	1	yes	characteristic
364	#2436	C₂²	1	2	yes	—
365	#2434	C₂²	1	2	yes	—
366	#2434	C₂²	1	1	yes	characteristic
367	#2434	C₂²	1	2	yes	—
368	#2434	C₂²	1	2	yes	—
369	#2434	C₂²	1	1	yes	characteristic
370	#2429	C₂²	1	1	yes	characteristic
371	#2429	C₂²	1	1	yes	characteristic
372	#2429	C₂²	1	1	yes	characteristic
373	#2429	C₂²	1	1	yes	characteristic
374	#2429	C₂²	1	1	yes	characteristic
375	#2427	C₂²	1	1	yes	characteristic
376	#2427	C₂²	1	1	yes	characteristic
377	#2426	C₂²	1	1	yes	characteristic
378	#2426	C₂²	1	2	yes	—
379	#2426	C₂²	1	1	yes	characteristic
380	#2423	C₂²	1	1	yes	characteristic
381	#2423	C₂²	1	1	yes	characteristic
382	#2421	C₂²	1	2	yes	—
383	#2421	C₂²	1	1	yes	characteristic
384	#2415	C₂²	1	1	yes	characteristic
385	#2409	C₂²	1	1	yes	characteristic
386	#2401	C₂²	1	1	yes	characteristic
387	#2401	C₂²	1	1	yes	characteristic
388	#2399	C₂²	1	2	yes	—
389	#2399	C₂²	1	1	yes	characteristic
390	#2396	C₂²	1	2	yes	—
391	#2396	C₂²	1	2	yes	—
392	#2396	C₂²	1	1	yes	characteristic
393	#2396	C₂²	1	1	yes	characteristic
394	#2395	C₂²	1	1	yes	characteristic
395	#2373	C₂²	1	2	yes	—
396	#2373	C₂²	1	2	yes	—
397	#2370	C₂²	1	2	yes	—
398	#2370	C₂²	1	1	yes	characteristic
399	#2369	C₂²	1	2	yes	—
400	#2369	C₂²	1	1	yes	characteristic
401	#2367	C₂²	1	1	yes	characteristic
402	#2367	C₂²	1	1	yes	characteristic
403	#2365	C₂²	1	1	yes	characteristic
404	#2365	C₂²	1	1	yes	characteristic
405	#2365	C₂²	1	1	yes	characteristic
406	#2365	C₂²	1	2	yes	—
407	#2365	C₂²	1	1	yes	characteristic
408	#2365	C₂²	1	1	yes	characteristic
409	#2363	C₂²	1	1	yes	characteristic
410	#2363	C₂²	1	1	yes	characteristic
411	#2362	C₂²	1	1	yes	characteristic
412	#2362	C₂²	1	1	yes	characteristic
413	#2362	C₂²	1	1	yes	characteristic
414	#2362	C₂²	1	2	yes	—
415	#2362	C₂²	1	1	yes	characteristic
416	#2362	C₂²	1	1	yes	characteristic
417	#2356	C₂²	1	1	yes	characteristic
418	#2355	C₂²	1	1	yes	characteristic
419	#2355	C₂²	1	2	yes	—
420	#2351	C₂²	1	1	yes	characteristic
421	#2351	C₂²	1	1	yes	characteristic
422	#2351	C₂²	1	1	yes	characteristic
423	#2351	C₂²	1	1	yes	characteristic
424	#2351	C₂²	1	1	yes	characteristic
425	#2347	C₂²	1	2	yes	—
426	#2346	C₂²	1	1	yes	characteristic
427	Q₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic
428	Q₈×C₂²⋊C₄	C₂²	1	2	yes	—
429	Q₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic
430	#2336	C₂²	1	2	yes	—
431	#2334	C₂²	1	2	yes	—
432	#2334	C₂²	1	2	yes	—
433	#2334	C₂²	1	2	yes	—
434	#2333	C₂²	1	2	yes	—
435	#2332	C₂²	1	2	yes	—
436	#2331	C₂²	1	1	yes	characteristic
437	#2331	C₂²	1	2	yes	—
438	#2326	C₂²	1	1	yes	characteristic
439	#2323	C₂²	1	2	yes	—
440	#2320	C₂²	1	1	yes	characteristic
441	#2310	C₂²	1	2	yes	—
442	C₄×C₄⋊Q₈	C₂²	1	1	yes	characteristic
443	C₄×C₄⋊Q₈	C₂²	1	1	yes	characteristic
444	C₄×C₄⋊Q₈	C₂²	1	1	yes	characteristic
445	C₄×C₄⋊Q₈	C₂²	1	1	yes	characteristic
446	C₄×#125	C₂²	1	1	yes	characteristic
447	C₄×#125	C₂²	1	1	yes	characteristic
448	C₄×#125	C₂²	1	1	yes	characteristic
449	C₄×#126	C₂²	1	1	yes	characteristic
450	C₄×#126	C₂²	1	1	yes	characteristic
451	C₄×#124	C₂²	1	1	yes	characteristic
452	C₄×#124	C₂²	1	1	yes	characteristic
453	C₄×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
454	C₄×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
455	C₄×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
456	C₄×#123	C₂²	1	1	yes	characteristic
457	#2296	C₂²	1	1	yes	characteristic
458	#2293	C₂²	1	1	yes	characteristic
459	C₂³×Q₈	C₂³	1	1	yes	characteristic
460	C₂³×Q₈	C₂³	1	2	yes	—
461	Q₈²	—	4	4	no	—
462	#556	—	4	4	no	—
463	#556	—	4	4	no	—
464	D₄×Q₈	—	4	4	no	—
465	#533	—	4	4	no	—
466	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
467	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
468	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
469	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
470	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
471	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
472	C₂×C₄⋊Q₈	C₂³	1	2	yes	—
473	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
474	C₂×C₄⋊Q₈	C₂³	1	2	yes	—
475	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
476	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
477	C₂×C₄⋊Q₈	C₂³	1	2	yes	—
478	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
479	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
480	C₂×C₄⋊Q₈	C₂³	1	2	yes	—
481	C₂×C₄⋊Q₈	C₂³	1	2	yes	—
482	C₂×C₄⋊Q₈	C₂³	1	2	yes	—
483	C₂×#126	C₂³	1	1	yes	characteristic
484	C₂×#126	C₂³	1	2	yes	—
485	C₂×#126	C₂³	1	1	yes	characteristic
486	C₂×#126	C₂³	1	2	yes	—
487	C₂×#126	C₂³	1	2	yes	—
488	C₂×#126	C₂³	1	2	yes	—
489	C₂×#126	C₂³	1	2	yes	—
490	C₂×#126	C₂³	1	2	yes	—
491	C₂×#125	C₂³	1	1	yes	characteristic
492	C₂×#125	C₂³	1	1	yes	characteristic
493	C₂×#125	C₂³	1	1	yes	characteristic
494	C₂×#125	C₂³	1	1	yes	characteristic
495	C₂×#125	C₂³	1	2	yes	—
496	C₂×#125	C₂³	1	2	yes	—
497	C₂×#124	C₂³	1	1	yes	characteristic
498	C₂×#124	C₂³	1	1	yes	characteristic
499	C₂×#124	C₂³	1	1	yes	characteristic
500	C₂×#124	C₂³	1	2	yes	—
501	C₂×#124	C₂³	1	1	yes	characteristic
502	C₂×#124	C₂³	1	1	yes	characteristic
503	C₂×#123	C₂³	1	1	yes	characteristic
504	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
505	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
506	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
512	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
513	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
514	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
515	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
516	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
517	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
518	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
519	C₂×#121	C₂³	1	2	yes	—
520	C₂×#121	C₂³	1	1	yes	characteristic
521	C₂×#121	C₂³	1	1	yes	characteristic
522	#519	—	4	4	no	—
523	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
524	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
525	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
526	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
527	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
528	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
529	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
530	C₂×C₄×Q₈	C₂³	1	2	yes	—
531	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
532	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
533	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
534	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
535	C₂×C₄×Q₈	C₂³	1	2	yes	—
536	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
537	C₂×C₄×Q₈	C₂³	1	2	yes	—
538	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
539	C₂×C₄×Q₈	C₂³	1	2	yes	—
540	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
541	C₂×C₄×Q₈	C₂³	1	2	yes	—
542	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
543	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
544	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
545	C₂×C₄×Q₈	C₂³	1	2	yes	—
546	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
547	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
548	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
549	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
550	C₂×#117	C₂³	1	1	yes	characteristic
551	C₂×#117	C₂³	1	2	yes	—
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	C₂×#117	C₂³	1	1	yes	characteristic
558	C₂×#117	C₂³	1	2	yes	—
559	C₂²×C₄²	C₂³	1	1	yes	characteristic
560	#401	C₂³	1	2	yes	—
561	#401	C₂³	1	2	yes	—
562	#401	C₂³	1	1	yes	characteristic
563	#401	C₂³	1	1	yes	characteristic
564	#400	C₂³	1	2	yes	—
565	#400	C₂³	1	2	yes	—
566	#400	C₂³	1	2	yes	—
567	#400	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
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	1	yes	characteristic
588	#400	C₂³	1	2	yes	—
589	#400	C₂³	1	2	yes	—
590	#400	C₂³	1	1	yes	characteristic
591	#400	C₂³	1	2	yes	—
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	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	#400	C₂³	1	1	yes	characteristic
606	#400	C₂³	1	2	yes	—
607	#400	C₂³	1	2	yes	—
608	#400	C₂³	1	1	yes	characteristic
609	#400	C₂³	1	2	yes	—
610	#400	C₂³	1	2	yes	—
611	#400	C₂³	1	2	yes	—
612	#400	C₂³	1	1	yes	characteristic
613	#400	C₂³	1	1	yes	characteristic
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	#399	C₂³	1	2	yes	—
621	#399	C₂³	1	1	yes	characteristic
622	#399	C₂³	1	2	yes	—
623	#399	C₂³	1	1	yes	characteristic
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	2	yes	—
638	#398	C₂³	1	2	yes	—
639	#398	C₂³	1	2	yes	—
640	#398	C₂³	1	2	yes	—
641	#398	C₂³	1	2	yes	—
642	#398	C₂³	1	2	yes	—
643	#398	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
651	#398	C₂³	1	1	yes	characteristic
652	#398	C₂³	1	2	yes	—
653	#398	C₂³	1	2	yes	—
654	#398	C₂³	1	2	yes	—
655	#398	C₂³	1	2	yes	—
656	#398	C₂³	1	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	#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	1	yes	characteristic
673	#398	C₂³	1	1	yes	characteristic
674	#398	C₂³	1	1	yes	characteristic
675	#398	C₂³	1	2	yes	—
676	#398	C₂³	1	1	yes	characteristic
677	#398	C₂³	1	1	yes	characteristic
678	#398	C₂³	1	1	yes	characteristic
679	#398	C₂³	1	2	yes	—
680	#397	C₂³	1	2	yes	—
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	2	yes	—
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	1	yes	characteristic
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	#397	C₂³	1	2	yes	—
699	#397	C₂³	1	2	yes	—
700	#397	C₂³	1	1	yes	characteristic
701	#397	C₂³	1	2	yes	—
702	#397	C₂³	1	2	yes	—
703	#397	C₂³	1	2	yes	—
704	#397	C₂³	1	2	yes	—
705	#397	C₂³	1	1	yes	characteristic
706	#397	C₂³	1	2	yes	—
707	#397	C₂³	1	2	yes	—
708	#397	C₂³	1	2	yes	—
709	#397	C₂³	1	1	yes	characteristic
710	#397	C₂³	1	2	yes	—
711	#397	C₂³	1	1	yes	characteristic
712	#397	C₂³	1	2	yes	—
713	#397	C₂³	1	1	yes	characteristic
714	#397	C₂³	1	1	yes	characteristic
715	#397	C₂³	1	1	yes	characteristic
716	#397	C₂³	1	2	yes	—
717	#396	C₂³	1	2	yes	—
718	#396	C₂³	1	2	yes	—
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	1	yes	characteristic
728	#396	C₂³	1	2	yes	—
729	#396	C₂³	1	2	yes	—
730	#396	C₂³	1	1	yes	characteristic
731	#396	C₂³	1	2	yes	—
732	#396	C₂³	1	2	yes	—
733	#396	C₂³	1	2	yes	—
734	#396	C₂³	1	2	yes	—
735	#396	C₂³	1	2	yes	—
736	#396	C₂³	1	2	yes	—
737	#396	C₂³	1	2	yes	—
738	#396	C₂³	1	2	yes	—
739	#396	C₂³	1	1	yes	characteristic
740	#396	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	1	yes	characteristic
745	#396	C₂³	1	1	yes	characteristic
746	#396	C₂³	1	1	yes	characteristic
747	#395	C₂³	1	2	yes	—
748	#395	C₂³	1	2	yes	—
749	#395	C₂³	1	2	yes	—
750	#395	C₂³	1	2	yes	—
751	#395	C₂³	1	1	yes	characteristic
752	#395	C₂³	1	2	yes	—
753	#395	C₂³	1	2	yes	—
754	#395	C₂³	1	2	yes	—
755	#395	C₂³	1	2	yes	—
756	#395	C₂³	1	2	yes	—
757	#395	C₂³	1	2	yes	—
758	#395	C₂³	1	2	yes	—
759	#395	C₂³	1	2	yes	—
760	#395	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	1	yes	characteristic
767	#395	C₂³	1	1	yes	characteristic
768	#395	C₂³	1	1	yes	characteristic
769	#395	C₂³	1	1	yes	characteristic
770	#395	C₂³	1	2	yes	—
771	#395	C₂³	1	1	yes	characteristic
772	#395	C₂³	1	2	yes	—
773	#395	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	1	yes	characteristic
778	#394	C₂³	1	2	yes	—
779	#394	C₂³	1	2	yes	—
780	#394	C₂³	1	2	yes	—
781	#394	C₂³	1	2	yes	—
782	#394	C₂³	1	2	yes	—
783	#394	C₂³	1	2	yes	—
784	#394	C₂³	1	2	yes	—
785	#394	C₂³	1	2	yes	—
786	#394	C₂³	1	2	yes	—
787	#394	C₂³	1	1	yes	characteristic
788	#394	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	#393	C₂³	1	1	yes	characteristic
795	#393	C₂³	1	2	yes	—
796	#393	C₂³	1	2	yes	—
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	1	yes	characteristic
804	#391	C₂³	1	2	yes	—
805	#391	C₂³	1	2	yes	—
806	#391	C₂³	1	2	yes	—
807	#391	C₂³	1	1	yes	characteristic
808	#391	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
815	#391	C₂³	1	1	yes	characteristic
816	#391	C₂³	1	1	yes	characteristic
817	#391	C₂³	1	1	yes	characteristic
818	#391	C₂³	1	2	yes	—
819	#391	C₂³	1	2	yes	—
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	1	yes	characteristic
826	#391	C₂³	1	2	yes	—
827	#391	C₂³	1	2	yes	—
828	#391	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
834	#391	C₂³	1	1	yes	characteristic
835	#391	C₂³	1	2	yes	—
836	#391	C₂³	1	1	yes	characteristic
837	#391	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
843	#391	C₂³	1	2	yes	—
844	#391	C₂³	1	1	yes	characteristic
845	#391	C₂³	1	2	yes	—
846	#391	C₂³	1	1	yes	characteristic
847	#391	C₂³	1	2	yes	—
848	#391	C₂³	1	2	yes	—
849	#391	C₂³	1	1	yes	characteristic
850	#391	C₂³	1	2	yes	—
851	#391	C₂³	1	2	yes	—
852	#391	C₂³	1	2	yes	—
853	#391	C₂³	1	2	yes	—
854	#391	C₂³	1	2	yes	—
855	#391	C₂³	1	1	yes	characteristic
856	#391	C₂³	1	1	yes	characteristic
857	#391	C₂³	1	1	yes	characteristic
858	#391	C₂³	1	1	yes	characteristic
859	#391	C₂³	1	1	yes	characteristic
860	#391	C₂³	1	1	yes	characteristic
861	#391	C₂³	1	1	yes	characteristic
862	#391	C₂³	1	2	yes	—
863	#391	C₂³	1	1	yes	characteristic
864	#391	C₂³	1	1	yes	characteristic
865	#390	C₂³	1	2	yes	—
866	#390	C₂³	1	2	yes	—
867	#390	C₂³	1	2	yes	—
868	#390	C₂³	1	2	yes	—
869	#390	C₂³	1	1	yes	characteristic
870	#390	C₂³	1	1	yes	characteristic
871	#390	C₂³	1	1	yes	characteristic
872	#390	C₂³	1	2	yes	—
873	#390	C₂³	1	2	yes	—
874	#390	C₂³	1	1	yes	characteristic
875	#390	C₂³	1	1	yes	characteristic
876	#390	C₂³	1	1	yes	characteristic
877	#390	C₂³	1	1	yes	characteristic
878	#389	C₂³	1	1	yes	characteristic
879	#389	C₂³	1	1	yes	characteristic
880	#389	C₂³	1	1	yes	characteristic
881	#389	C₂³	1	1	yes	characteristic
882	#389	C₂³	1	1	yes	characteristic
883	#389	C₂³	1	1	yes	characteristic
884	#389	C₂³	1	2	yes	—
885	#389	C₂³	1	2	yes	—
886	#389	C₂³	1	1	yes	characteristic
887	#389	C₂³	1	1	yes	characteristic
888	#389	C₂³	1	1	yes	characteristic
889	#389	C₂³	1	1	yes	characteristic
890	#389	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
898	#389	C₂³	1	2	yes	—
899	#389	C₂³	1	2	yes	—
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	1	yes	characteristic
906	#389	C₂³	1	2	yes	—
907	#389	C₂³	1	2	yes	—
908	#389	C₂³	1	2	yes	—
909	#389	C₂³	1	1	yes	characteristic
910	#389	C₂³	1	1	yes	characteristic
911	#389	C₂³	1	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	2	yes	—
916	#389	C₂³	1	2	yes	—
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	2	yes	—
922	#389	C₂³	1	2	yes	—
923	#389	C₂³	1	2	yes	—
924	#389	C₂³	1	2	yes	—
925	#389	C₂³	1	2	yes	—
926	#389	C₂³	1	1	yes	characteristic
927	#389	C₂³	1	2	yes	—
928	#389	C₂³	1	2	yes	—
929	#389	C₂³	1	1	yes	characteristic
930	#389	C₂³	1	1	yes	characteristic
931	#389	C₂³	1	2	yes	—
932	#389	C₂³	1	2	yes	—
933	#389	C₂³	1	2	yes	—
934	#389	C₂³	1	2	yes	—
935	#389	C₂³	1	2	yes	—
936	#389	C₂³	1	1	yes	characteristic
937	#389	C₂³	1	2	yes	—
938	#389	C₂³	1	2	yes	—
939	#389	C₂³	1	2	yes	—
940	#389	C₂³	1	2	yes	—
941	#389	C₂³	1	2	yes	—
942	#389	C₂³	1	2	yes	—
943	#389	C₂³	1	1	yes	characteristic
944	#389	C₂³	1	2	yes	—
945	#389	C₂³	1	2	yes	—
946	#389	C₂³	1	1	yes	characteristic
947	#389	C₂³	1	1	yes	characteristic
948	#389	C₂³	1	2	yes	—
949	#389	C₂³	1	2	yes	—
950	#389	C₂³	1	2	yes	—
951	#389	C₂³	1	1	yes	characteristic
952	#389	C₂³	1	1	yes	characteristic
953	#389	C₂³	1	2	yes	—
954	#389	C₂³	1	1	yes	characteristic
955	#389	C₂³	1	2	yes	—
956	#389	C₂³	1	1	yes	characteristic
957	#388	C₂³	1	1	yes	characteristic
958	#388	C₂³	1	1	yes	characteristic
959	#388	C₂³	1	1	yes	characteristic
960	#388	C₂³	1	1	yes	characteristic
961	#388	C₂³	1	1	yes	characteristic
962	#388	C₂³	1	1	yes	characteristic
963	#388	C₂³	1	1	yes	characteristic
964	#388	C₂³	1	1	yes	characteristic
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	2	yes	—
978	#388	C₂³	1	2	yes	—
979	#388	C₂³	1	2	yes	—
980	#388	C₂³	1	2	yes	—
981	#388	C₂³	1	2	yes	—
982	#388	C₂³	1	2	yes	—
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	2	yes	—
996	#388	C₂³	1	2	yes	—
997	#388	C₂³	1	2	yes	—
998	#388	C₂³	1	2	yes	—
999	#388	C₂³	1	1	yes	characteristic
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	2	yes	—
1005	#388	C₂³	1	2	yes	—
1006	#388	C₂³	1	2	yes	—
1007	#388	C₂³	1	2	yes	—
1008	#388	C₂³	1	2	yes	—
1009	#388	C₂³	1	2	yes	—
1010	#388	C₂³	1	2	yes	—
1011	#388	C₂³	1	1	yes	characteristic
1012	#388	C₂³	1	2	yes	—
1013	#388	C₂³	1	2	yes	—
1014	#388	C₂³	1	2	yes	—
1015	#388	C₂³	1	2	yes	—
1016	#388	C₂³	1	2	yes	—
1017	#388	C₂³	1	2	yes	—
1018	#388	C₂³	1	2	yes	—
1019	#388	C₂³	1	2	yes	—
1020	#388	C₂³	1	2	yes	—
1021	#388	C₂³	1	2	yes	—
1022	#388	C₂³	1	2	yes	—
1023	#388	C₂³	1	2	yes	—
1024	#388	C₂³	1	2	yes	—
1025	#388	C₂³	1	2	yes	—
1026	#388	C₂³	1	1	yes	characteristic
1027	#388	C₂³	1	2	yes	—
1028	#388	C₂³	1	2	yes	—
1029	#388	C₂³	1	1	yes	characteristic
1030	#387	C₂³	1	1	yes	characteristic
1031	#387	C₂³	1	1	yes	characteristic
1032	#387	C₂³	1	1	yes	characteristic
1033	#387	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
1040	#387	C₂³	1	1	yes	characteristic
1041	#387	C₂³	1	1	yes	characteristic
1042	#387	C₂³	1	2	yes	—
1043	#387	C₂³	1	1	yes	characteristic
1044	#387	C₂³	1	1	yes	characteristic
1045	#387	C₂³	1	1	yes	characteristic
1046	#387	C₂³	1	1	yes	characteristic
1047	#387	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
1056	#387	C₂³	1	2	yes	—
1057	#387	C₂³	1	2	yes	—
1058	#387	C₂³	1	2	yes	—
1059	#387	C₂³	1	1	yes	characteristic
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	2	yes	—
1074	#387	C₂³	1	1	yes	characteristic
1075	#387	C₂³	1	2	yes	—
1076	#387	C₂³	1	2	yes	—
1077	#387	C₂³	1	2	yes	—
1078	#387	C₂³	1	2	yes	—
1079	#387	C₂³	1	2	yes	—
1080	#387	C₂³	1	2	yes	—
1081	#387	C₂³	1	2	yes	—
1082	#387	C₂³	1	2	yes	—
1083	#387	C₂³	1	2	yes	—
1084	#387	C₂³	1	2	yes	—
1085	#387	C₂³	1	2	yes	—
1086	#387	C₂³	1	2	yes	—
1087	#387	C₂³	1	2	yes	—
1088	#387	C₂³	1	2	yes	—
1089	#387	C₂³	1	2	yes	—
1090	#387	C₂³	1	2	yes	—
1091	#387	C₂³	1	2	yes	—
1092	#387	C₂³	1	2	yes	—
1093	#387	C₂³	1	2	yes	—
1094	#387	C₂³	1	2	yes	—
1095	#387	C₂³	1	2	yes	—
1096	#387	C₂³	1	2	yes	—
1097	#387	C₂³	1	2	yes	—
1098	#387	C₂³	1	2	yes	—
1099	#387	C₂³	1	2	yes	—
1100	#387	C₂³	1	2	yes	—
1101	#387	C₂³	1	2	yes	—
1102	#387	C₂³	1	2	yes	—
1103	#387	C₂³	1	2	yes	—
1104	#387	C₂³	1	2	yes	—
1105	#387	C₂³	1	2	yes	—
1106	#387	C₂³	1	2	yes	—
1107	#387	C₂³	1	2	yes	—
1108	#387	C₂³	1	2	yes	—
1109	#387	C₂³	1	2	yes	—
1110	#387	C₂³	1	2	yes	—
1111	#387	C₂³	1	2	yes	—
1112	#387	C₂³	1	2	yes	—
1113	#387	C₂³	1	2	yes	—
1114	#387	C₂³	1	1	yes	characteristic
1115	#387	C₂³	1	2	yes	—
1116	#387	C₂³	1	2	yes	—
1117	#387	C₂³	1	2	yes	—
1118	#387	C₂³	1	2	yes	—
1119	#387	C₂³	1	2	yes	—
1120	#387	C₂³	1	2	yes	—
1121	#387	C₂³	1	1	yes	characteristic
1122	#387	C₂³	1	2	yes	—
1123	#387	C₂³	1	2	yes	—
1124	#387	C₂³	1	2	yes	—
1125	#387	C₂³	1	2	yes	—
1126	#387	C₂³	1	2	yes	—
1127	#387	C₂³	1	2	yes	—
1128	#387	C₂³	1	2	yes	—
1129	#387	C₂³	1	2	yes	—
1130	#387	C₂³	1	1	yes	characteristic
1131	#387	C₂³	1	2	yes	—
1132	#387	C₂³	1	2	yes	—
1133	#387	C₂³	1	2	yes	—
1134	#387	C₂³	1	2	yes	—
1135	#386	C₂³	1	2	yes	—
1136	#386	C₂³	1	2	yes	—
1137	#386	C₂³	1	2	yes	—
1138	#386	C₂³	1	1	yes	characteristic
1139	#386	C₂³	1	2	yes	—
1140	#386	C₂³	1	2	yes	—
1141	#386	C₂³	1	2	yes	—
1142	#386	C₂³	1	2	yes	—
1143	#386	C₂³	1	2	yes	—
1144	#386	C₂³	1	2	yes	—
1145	#385	C₂³	1	2	yes	—
1146	#385	C₂³	1	2	yes	—
1147	#385	C₂³	1	2	yes	—
1148	#385	C₂³	1	2	yes	—
1149	#385	C₂³	1	2	yes	—
1150	#385	C₂³	1	2	yes	—
1151	#385	C₂³	1	2	yes	—
1152	#385	C₂³	1	1	yes	characteristic
1153	#385	C₂³	1	2	yes	—
1154	#385	C₂³	1	2	yes	—
1155	#385	C₂³	1	2	yes	—
1156	#385	C₂³	1	1	yes	characteristic
1157	#385	C₂³	1	2	yes	—
1158	#385	C₂³	1	2	yes	—
1159	#385	C₂³	1	2	yes	—
1160	#385	C₂³	1	2	yes	—
1161	#385	C₂³	1	2	yes	—
1162	#385	C₂³	1	2	yes	—
1163	#385	C₂³	1	2	yes	—
1164	#385	C₂³	1	2	yes	—
1165	#385	C₂³	1	1	yes	characteristic
1166	#385	C₂³	1	2	yes	—
1167	#385	C₂³	1	1	yes	characteristic
1168	#385	C₂³	1	1	yes	characteristic
1169	#385	C₂³	1	2	yes	—
1170	#384	C₂³	1	1	yes	characteristic
1171	#384	C₂³	1	1	yes	characteristic
1172	#384	C₂³	1	1	yes	characteristic
1173	#384	C₂³	1	1	yes	characteristic
1174	#384	C₂³	1	1	yes	characteristic
1175	#384	C₂³	1	1	yes	characteristic
1176	#384	C₂³	1	2	yes	—
1177	#383	C₂³	1	1	yes	characteristic
1178	#383	C₂³	1	1	yes	characteristic
1179	#383	C₂³	1	2	yes	—
1180	#383	C₂³	1	2	yes	—
1181	#383	C₂³	1	2	yes	—
1182	#383	C₂³	1	2	yes	—
1183	#382	C₂³	1	1	yes	characteristic
1184	#382	C₂³	1	1	yes	characteristic
1185	#382	C₂³	1	1	yes	characteristic
1186	#382	C₂³	1	1	yes	characteristic
1187	#382	C₂³	1	1	yes	characteristic
1188	#382	C₂³	1	1	yes	characteristic
1189	#382	C₂³	1	2	yes	—
1190	#382	C₂³	1	1	yes	characteristic
1191	#382	C₂³	1	2	yes	—
1192	#382	C₂³	1	2	yes	—
1193	#382	C₂³	1	2	yes	—
1194	#382	C₂³	1	2	yes	—
1195	#382	C₂³	1	2	yes	—
1196	#382	C₂³	1	2	yes	—
1197	#382	C₂³	1	2	yes	—
1198	#382	C₂³	1	2	yes	—
1199	#382	C₂³	1	2	yes	—
1200	#382	C₂³	1	2	yes	—
1201	#382	C₂³	1	2	yes	—
1202	#382	C₂³	1	2	yes	—
1203	#382	C₂³	1	2	yes	—
1204	#382	C₂³	1	2	yes	—
1205	#382	C₂³	1	1	yes	characteristic
1206	#381	C₂³	1	2	yes	—
1207	#381	C₂³	1	2	yes	—
1208	#381	C₂³	1	2	yes	—
1209	#381	C₂³	1	2	yes	—
1210	#381	C₂³	1	1	yes	characteristic
1211	#380	C₂³	1	2	yes	—
1212	#380	C₂³	1	2	yes	—
1213	#380	C₂³	1	1	yes	characteristic
1214	#380	C₂³	1	1	yes	characteristic
1215	#380	C₂³	1	2	yes	—
1216	#380	C₂³	1	2	yes	—
1217	#380	C₂³	1	2	yes	—
1218	#380	C₂³	1	1	yes	characteristic
1219	#380	C₂³	1	1	yes	characteristic
1220	#380	C₂³	1	1	yes	characteristic
1221	#380	C₂³	1	1	yes	characteristic
1222	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1223	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
1231	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
1236	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
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	2	yes	—
1248	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1249	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1250	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1251	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1252	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1253	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1254	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1255	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1256	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1257	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1258	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1259	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1260	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1261	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1262	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1263	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1264	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1265	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1266	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1267	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1268	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1269	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1270	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1271	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1272	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1273	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1274	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1275	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
1276	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
1277	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
1278	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
1279	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
1280	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
1281	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
1282	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
1283	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
1284	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
1285	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
1286	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
1287	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
1288	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
1289	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
1290	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
1291	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
1292	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
1293	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
1294	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
1295	#376	C₂³	1	1	yes	characteristic
1296	#376	C₂³	1	2	yes	—
1297	#376	C₂³	1	2	yes	—
1298	C₄³	C₂³	1	1	yes	characteristic
1299	C₄³	C₂³	1	1	yes	characteristic
1300	C₂²×Q₈	—	2	4	no	—
1301	C₂²×Q₈	—	4	2	no	—
1302	C₂²×Q₈	—	4	2	no	—
1303	C₂²×Q₈	—	4	4	no	—
1304	C₂²×Q₈	—	4	4	no	—
1305	C₂²×Q₈	—	4	4	no	—
1306	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
1307	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
1308	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
1309	C₂²×Q₈	C₂⁴	1	2	yes	—
1310	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
1311	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
1312	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
1313	C₂²×Q₈	C₂⁴	1	2	yes	—
1314	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
1315	C₂²×Q₈	C₂⁴	1	2	yes	—
1316	C₂²×Q₈	C₂⁴	1	2	yes	—
1317	C₂²×Q₈	C₂⁴	1	2	yes	—
1318	C₂²×Q₈	C₂⁴	1	2	yes	—
1319	C₂²×D₄	C₂⁴	1	1	yes	characteristic
1320	C₂²×D₄	C₂⁴	1	1	yes	characteristic
1321	C₂²×D₄	C₂⁴	1	2	yes	—
1322	C₂²×D₄	C₂⁴	1	2	yes	—
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	2	yes	—
1328	C₂³×C₄	C₂⁴	1	2	yes	—
1329	C₂³×C₄	C₂⁴	1	2	yes	—
1330	C₂³×C₄	C₂⁴	1	1	yes	characteristic
1331	C₄⋊Q₈	—	2	4	no	—
1332	C₄⋊Q₈	—	2	4	no	—
1333	C₄⋊Q₈	—	2	4	no	—
1334	C₄⋊Q₈	—	2	4	no	—
1335	C₄⋊Q₈	—	2	4	no	—
1336	C₄⋊Q₈	—	4	2	no	—
1337	C₄⋊Q₈	—	4	2	no	—
1338	C₄⋊Q₈	—	4	4	no	—
1339	C₄⋊Q₈	—	4	2	no	—
1340	C₄⋊Q₈	—	4	2	no	—
1341	C₄⋊Q₈	—	4	2	no	—
1342	C₄⋊Q₈	—	4	4	no	—
1343	C₄⋊Q₈	—	4	4	no	—
1344	C₄⋊Q₈	—	4	4	no	—
1345	C₄⋊Q₈	—	4	2	no	—
1346	C₄⋊Q₈	—	4	4	no	—
1347	C₄⋊Q₈	—	4	4	no	—
1348	#126	—	2	4	no	—
1349	#126	—	2	8	no	—
1350	#126	—	4	2	no	—
1351	#126	—	4	4	no	—
1352	#126	—	4	4	no	—
1353	#126	—	4	4	no	—
1354	#126	—	4	4	no	—
1355	#126	—	4	4	no	—
1356	#125	—	2	4	no	—
1357	#125	—	4	2	no	—
1358	#125	—	4	2	no	—
1359	#125	—	4	2	no	—
1360	#125	—	4	4	no	—
1361	#125	—	4	4	no	—
1362	#124	—	2	4	no	—
1363	#124	—	4	2	no	—
1364	#124	—	4	2	no	—
1365	#124	—	4	2	no	—
1366	#124	—	4	2	no	—
1367	#124	—	4	4	no	—
1368	#123	—	4	2	no	—
1369	C₂²⋊Q₈	—	2	4	no	—
1370	C₂²⋊Q₈	—	2	4	no	—
1371	C₂²⋊Q₈	—	2	4	no	—
1372	C₂²⋊Q₈	—	4	2	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	C₂²⋊Q₈	—	4	2	no	—
1383	C₂²⋊Q₈	—	4	2	no	—
1384	#121	—	4	2	no	—
1385	#121	—	4	4	no	—
1386	#121	—	4	2	no	—
1387	C₄×Q₈	—	2	4	no	—
1388	C₄×Q₈	—	2	4	no	—
1389	C₄×Q₈	—	2	4	no	—
1390	C₄×Q₈	—	4	4	no	—
1391	C₄×Q₈	—	4	2	no	—
1392	C₄×Q₈	—	4	2	no	—
1393	C₄×Q₈	—	4	2	no	—
1394	C₄×Q₈	—	4	4	no	—
1395	C₄×Q₈	—	4	4	no	—
1396	C₄×Q₈	—	4	2	no	—
1397	C₄×Q₈	—	4	2	no	—
1398	C₄×Q₈	—	4	2	no	—
1399	C₄×Q₈	—	4	2	no	—
1400	C₄×Q₈	—	4	4	no	—
1401	C₄×Q₈	—	4	2	no	—
1402	C₄×Q₈	—	4	2	no	—
1403	C₄×Q₈	—	4	2	no	—
1404	C₄×Q₈	—	4	2	no	—
1405	C₄×Q₈	—	4	4	no	—
1406	C₄×Q₈	—	4	4	no	—
1407	C₄×Q₈	—	4	2	no	—
1408	C₄×Q₈	—	4	2	no	—
1409	C₄×Q₈	—	4	2	no	—
1410	C₄×D₄	—	2	4	no	—
1411	C₄×D₄	—	4	2	no	—
1412	C₄×D₄	—	4	2	no	—
1413	C₄×D₄	—	4	2	no	—
1414	#117	—	2	4	no	—
1415	#117	—	4	4	no	—
1416	#117	—	4	2	no	—
1417	#117	—	4	4	no	—
1418	#117	—	4	4	no	—
1419	#117	—	4	4	no	—
1420	#117	—	4	4	no	—
1421	#117	—	4	2	no	—
1422	#117	—	4	2	no	—
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	2	yes	—
1427	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1428	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1429	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1430	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1431	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1432	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1433	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1434	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1435	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1436	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1437	C₂×C₄⋊C₄	C₂⁴	1	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	2	yes	—
1442	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1443	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1444	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1445	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1446	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1447	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1448	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1449	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1450	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1451	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1452	C₂×C₄⋊C₄	C₂⁴	1	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	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	1	yes	characteristic
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	1	yes	characteristic
1466	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1467	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
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	1	yes	characteristic
1475	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1476	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1477	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
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	1	yes	characteristic
1483	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1484	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1485	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1486	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
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	2	yes	—
1499	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
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	1	yes	characteristic
1504	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1505	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1506	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1507	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1508	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1509	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1510	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1511	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
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	1	yes	characteristic
1518	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1519	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1520	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1521	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
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	2	yes	—
1526	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1527	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
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	1	yes	characteristic
1536	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1537	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1538	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
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	1	yes	characteristic
1545	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1546	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1547	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1548	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1549	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1550	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1551	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
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	1	yes	characteristic
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	2	yes	—
1562	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1563	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1564	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1565	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1566	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1567	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1568	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1569	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1570	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1571	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1572	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
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	1	yes	characteristic
1577	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
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	2	yes	—
1585	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
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	1	yes	characteristic
1593	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1594	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
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	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	1	yes	characteristic
1604	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1605	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1606	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1607	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1608	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1609	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1610	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1611	C₂×C₄²	—	4	2	no	—
1612	C₂×C₄²	C₂⁴	1	2	yes	—
1613	C₂×C₄²	C₂⁴	1	2	yes	—
1614	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1615	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1616	C₂×C₄²	C₂⁴	1	2	yes	—
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	1	yes	characteristic
1627	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1628	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1629	C₂×C₄²	C₂⁴	1	1	yes	characteristic
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	1	yes	characteristic
1634	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1635	C₂×C₄²	C₂⁴	1	2	yes	—
1636	C₂×C₄²	C₂⁴	1	2	yes	—
1637	C₂×C₄²	C₂⁴	1	2	yes	—
1638	C₂×C₄²	C₂⁴	1	2	yes	—
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	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	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1653	C₂×C₄²	C₂⁴	1	2	yes	—
1654	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1655	C₂×C₄²	C₂⁴	1	2	yes	—
1656	C₂×C₄²	C₂⁴	1	2	yes	—
1657	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1658	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1659	C₂×C₄²	C₂⁴	1	2	yes	—
1660	C₂×C₄²	C₂⁴	1	2	yes	—
1661	#95	C₂⁴	1	1	yes	characteristic
1662	#95	C₂⁴	1	1	yes	characteristic
1663	#95	C₂⁴	1	2	yes	—
1664	#95	C₂⁴	1	2	yes	—
1665	#95	C₂⁴	1	2	yes	—
1666	#95	C₂⁴	1	1	yes	characteristic
1667	#95	C₂⁴	1	2	yes	—
1668	#95	C₂⁴	1	2	yes	—
1669	#95	C₂⁴	1	2	yes	—
1670	#95	C₂⁴	1	1	yes	characteristic
1671	#95	C₂⁴	1	1	yes	characteristic
1672	#95	C₂⁴	1	1	yes	characteristic
1673	#95	C₂⁴	1	1	yes	characteristic
1674	#95	C₂⁴	1	1	yes	characteristic
1675	#95	C₂⁴	1	1	yes	characteristic
1676	#95	C₂⁴	1	1	yes	characteristic
1677	#95	C₂⁴	1	1	yes	characteristic
1678	#95	C₂⁴	1	1	yes	characteristic
1679	#95	C₂⁴	1	2	yes	—
1680	#95	C₂⁴	1	2	yes	—
1681	#95	C₂⁴	1	1	yes	characteristic
1682	#95	C₂⁴	1	2	yes	—
1683	#95	C₂⁴	1	2	yes	—
1684	#95	C₂⁴	1	1	yes	characteristic
1685	#95	C₂⁴	1	1	yes	characteristic
1686	#95	C₂⁴	1	1	yes	characteristic
1687	#95	C₂⁴	1	2	yes	—
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	1	yes	characteristic
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	2	yes	—
1697	#95	C₂⁴	1	2	yes	—
1698	#95	C₂⁴	1	1	yes	characteristic
1699	#95	C₂⁴	1	2	yes	—
1700	#95	C₂⁴	1	1	yes	characteristic
1701	#95	C₂⁴	1	1	yes	characteristic
1702	#95	C₂⁴	1	1	yes	characteristic
1703	#95	C₂⁴	1	2	yes	—
1704	#95	C₂⁴	1	1	yes	characteristic
1705	#95	C₂⁴	1	2	yes	—
1706	#95	C₂⁴	1	2	yes	—
1707	#95	C₂⁴	1	2	yes	—
1708	#95	C₂⁴	1	1	yes	characteristic
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	1	yes	characteristic
1715	#95	C₂⁴	1	2	yes	—
1716	#95	C₂⁴	1	1	yes	characteristic
1717	#95	C₂⁴	1	1	yes	characteristic
1718	#95	C₂⁴	1	2	yes	—
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	1	yes	characteristic
1724	#95	C₂⁴	1	2	yes	—
1725	#95	C₂⁴	1	2	yes	—
1726	#95	C₂⁴	1	1	yes	characteristic
1727	#95	C₂⁴	1	2	yes	—
1728	#95	C₂⁴	1	2	yes	—
1729	#95	C₂⁴	1	2	yes	—
1730	#95	C₂⁴	1	2	yes	—
1731	#95	C₂⁴	1	2	yes	—
1732	#95	C₂⁴	1	1	yes	characteristic
1733	#95	C₂⁴	1	2	yes	—
1734	#95	C₂⁴	1	2	yes	—
1735	#95	C₂⁴	1	1	yes	characteristic
1736	#95	C₂⁴	1	2	yes	—
1737	#95	C₂⁴	1	1	yes	characteristic
1738	#95	C₂⁴	1	2	yes	—
1739	#95	C₂⁴	1	1	yes	characteristic
1740	#95	C₂⁴	1	2	yes	—
1741	#95	C₂⁴	1	2	yes	—
1742	#95	C₂⁴	1	2	yes	—
1743	#95	C₂⁴	1	1	yes	characteristic
1744	#95	C₂⁴	1	2	yes	—
1745	#95	C₂⁴	1	1	yes	characteristic
1746	#95	C₂⁴	1	2	yes	—
1747	#95	C₂⁴	1	2	yes	—
1748	#95	C₂⁴	1	1	yes	characteristic
1749	#95	C₂⁴	1	2	yes	—
1750	#95	C₂⁴	1	2	yes	—
1751	#95	C₂⁴	1	1	yes	characteristic
1752	#95	C₂⁴	1	2	yes	—
1753	#95	C₂⁴	1	1	yes	characteristic
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	2	yes	—
1763	#95	C₂⁴	1	2	yes	—
1764	#95	C₂⁴	1	1	yes	characteristic
1765	#95	C₂⁴	1	2	yes	—
1766	#95	C₂⁴	1	2	yes	—
1767	#95	C₂⁴	1	2	yes	—
1768	#95	C₂⁴	1	1	yes	characteristic
1769	#95	C₂⁴	1	1	yes	characteristic
1770	#95	C₂⁴	1	2	yes	—
1771	#95	C₂⁴	1	2	yes	—
1772	#95	C₂⁴	1	1	yes	characteristic
1773	#95	C₂⁴	1	1	yes	characteristic
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	2	yes	—
1781	#95	C₂⁴	1	2	yes	—
1782	#95	C₂⁴	1	2	yes	—
1783	#95	C₂⁴	1	2	yes	—
1784	#95	C₂⁴	1	2	yes	—
1785	#95	C₂⁴	1	2	yes	—
1786	#95	C₂⁴	1	2	yes	—
1787	#95	C₂⁴	1	2	yes	—
1788	#95	C₂⁴	1	2	yes	—
1789	#95	C₂⁴	1	2	yes	—
1790	#95	C₂⁴	1	2	yes	—
1791	#95	C₂⁴	1	2	yes	—
1792	#95	C₂⁴	1	2	yes	—
1793	#95	C₂⁴	1	2	yes	—
1794	#95	C₂⁴	1	2	yes	—
1795	#95	C₂⁴	1	2	yes	—
1796	#95	C₂⁴	1	2	yes	—
1797	#95	C₂⁴	1	2	yes	—
1798	#95	C₂⁴	1	2	yes	—
1799	#95	C₂⁴	1	2	yes	—
1800	#95	C₂⁴	1	2	yes	—
1801	#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	C₂⁴	C₂⁵	1	1	yes	characteristic
1811	C₂⁴	C₂⁵	1	1	yes	characteristic
1812	C₂⁴	C₂⁵	1	2	yes	—
1813	C₂×Q₈	—	2	2	no	—
1814	C₂×Q₈	—	2	2	no	—
1815	C₂×Q₈	—	2	2	no	—
1816	C₂×Q₈	—	2	2	no	—
1817	C₂×Q₈	—	2	4	no	—
1818	C₂×Q₈	—	2	4	no	—
1819	C₂×Q₈	—	2	4	no	—
1820	C₂×Q₈	—	2	2	no	—
1821	C₂×Q₈	—	2	2	no	—
1822	C₂×Q₈	—	2	2	no	—
1823	C₂×Q₈	—	2	4	no	—
1824	C₂×Q₈	—	2	2	no	—
1825	C₂×Q₈	—	2	2	no	—
1826	C₂×Q₈	—	2	2	no	—
1827	C₂×Q₈	—	2	2	no	—
1828	C₂×Q₈	—	2	4	no	—
1829	C₂×Q₈	—	2	2	no	—
1830	C₂×Q₈	—	2	2	no	—
1831	C₂×Q₈	—	2	2	no	—
1832	C₂×Q₈	—	2	2	no	—
1833	C₂×Q₈	—	2	4	no	—
1834	C₂×Q₈	—	4	1	no	—
1835	C₂×Q₈	—	4	2	no	—
1836	C₂×Q₈	—	4	1	no	—
1837	C₂×Q₈	—	4	2	no	—
1838	C₂×Q₈	—	4	2	no	—
1839	C₂×Q₈	—	4	1	no	—
1840	C₂×Q₈	—	4	1	no	—
1841	C₂×Q₈	—	4	2	no	—
1842	C₂×Q₈	—	4	2	no	—
1843	C₂×Q₈	—	4	2	no	—
1844	C₂×Q₈	—	4	1	no	—
1845	C₂×Q₈	—	4	2	no	—
1846	C₂×Q₈	—	4	2	no	—
1847	C₂×Q₈	—	4	2	no	—
1848	C₂×Q₈	—	4	2	no	—
1849	C₂×Q₈	—	4	2	no	—
1850	C₂×Q₈	—	4	2	no	—
1851	C₂×Q₈	—	4	16	no	—
1852	C₂×Q₈	—	8	16	no	—
1853	C₂×Q₈	2₋¹⁺⁴	1	4	yes	—
1854	C₂×D₄	—	2	2	no	—
1855	C₂×D₄	—	2	2	no	—
1856	C₂×D₄	—	2	2	no	—
1857	C₂×D₄	—	2	2	no	—
1858	C₂×D₄	—	4	1	no	—
1859	C₂×D₄	—	4	1	no	—
1860	C₂×D₄	—	4	2	no	—
1861	C₂×D₄	—	4	2	no	—
1862	C₂×D₄	—	4	2	no	—
1863	C₂×D₄	—	4	2	no	—
1864	C₂×D₄	—	4	2	no	—
1865	C₂×D₄	—	4	2	no	—
1866	C₂²×C₄	—	2	2	no	—
1867	C₂²×C₄	—	2	2	no	—
1868	C₂²×C₄	—	2	4	no	—
1869	C₂²×C₄	—	2	2	no	—
1870	C₂²×C₄	—	2	2	no	—
1871	C₂²×C₄	—	2	4	no	—
1872	C₂²×C₄	—	2	2	no	—
1873	C₂²×C₄	—	2	2	no	—
1874	C₂²×C₄	—	2	4	no	—
1875	C₂²×C₄	—	2	2	no	—
1876	C₂²×C₄	—	2	4	no	—
1877	C₂²×C₄	—	4	1	no	—
1878	C₂²×C₄	—	4	2	no	—
1879	C₂²×C₄	—	4	1	no	—
1880	C₂²×C₄	—	4	2	no	—
1881	C₂²×C₄	—	4	2	no	—
1882	C₂²×C₄	—	4	1	no	—
1883	C₂²×C₄	—	4	2	no	—
1884	C₂²×C₄	—	4	2	no	—
1885	C₂²×C₄	—	4	1	no	—
1886	C₂²×C₄	—	4	1	no	—
1887	C₂²×C₄	—	4	2	no	—
1888	C₂²×C₄	—	4	2	no	—
1889	C₂²×C₄	—	4	2	no	—
1890	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1891	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1892	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1893	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1894	C₂²×C₄	C₂⁵	1	2	yes	—
1895	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1896	C₂²×C₄	C₂⁵	1	2	yes	—
1897	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1898	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1899	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1900	C₂²×C₄	C₂⁵	1	2	yes	—
1901	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1902	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1903	C₂²×C₄	C₂⁵	1	2	yes	—
1904	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1905	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1906	C₂²×C₄	C₂⁵	1	2	yes	—
1907	C₂²×C₄	C₂⁵	1	2	yes	—
1908	C₂²×C₄	C₂⁵	1	2	yes	—
1909	C₂²×C₄	C₂⁵	1	2	yes	—
1910	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1911	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1912	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1913	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1914	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1915	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1916	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1917	C₂²×C₄	C₂⁵	1	2	yes	—
1918	C₂²×C₄	C₂⁵	1	2	yes	—
1919	C₂²×C₄	C₂⁵	1	2	yes	—
1920	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1921	C₂²×C₄	C₂⁵	1	2	yes	—
1922	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1923	C₂²×C₄	C₂⁵	1	2	yes	—
1924	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1925	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1926	C₂²×C₄	C₂⁵	1	2	yes	—
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	1	yes	characteristic
1934	C₄⋊C₄	—	2	2	no	—
1935	C₄⋊C₄	—	2	2	no	—
1936	C₄⋊C₄	—	2	4	no	—
1937	C₄⋊C₄	—	2	4	no	—
1938	C₄⋊C₄	—	2	4	no	—
1939	C₄⋊C₄	—	2	2	no	—
1940	C₄⋊C₄	—	2	4	no	—
1941	C₄⋊C₄	—	2	4	no	—
1942	C₄⋊C₄	—	2	2	no	—
1943	C₄⋊C₄	—	2	4	no	—
1944	C₄⋊C₄	—	2	4	no	—
1945	C₄⋊C₄	—	2	2	no	—
1946	C₄⋊C₄	—	2	4	no	—
1947	C₄⋊C₄	—	2	2	no	—
1948	C₄⋊C₄	—	2	2	no	—
1949	C₄⋊C₄	—	2	2	no	—
1950	C₄⋊C₄	—	2	2	no	—
1951	C₄⋊C₄	—	2	2	no	—
1952	C₄⋊C₄	—	2	2	no	—
1953	C₄⋊C₄	—	2	2	no	—
1954	C₄⋊C₄	—	2	2	no	—
1955	C₄⋊C₄	—	2	4	no	—
1956	C₄⋊C₄	—	2	4	no	—
1957	C₄⋊C₄	—	2	2	no	—
1958	C₄⋊C₄	—	2	4	no	—
1959	C₄⋊C₄	—	2	4	no	—
1960	C₄⋊C₄	—	2	4	no	—
1961	C₄⋊C₄	—	2	4	no	—
1962	C₄⋊C₄	—	2	2	no	—
1963	C₄⋊C₄	—	2	2	no	—
1964	C₄⋊C₄	—	2	2	no	—
1965	C₄⋊C₄	—	2	4	no	—
1966	C₄⋊C₄	—	2	2	no	—
1967	C₄⋊C₄	—	2	2	no	—
1968	C₄⋊C₄	—	2	2	no	—
1969	C₄⋊C₄	—	2	2	no	—
1970	C₄⋊C₄	—	2	4	no	—
1971	C₄⋊C₄	—	2	4	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	—	4	1	no	—
1977	C₄⋊C₄	—	4	1	no	—
1978	C₄⋊C₄	—	4	2	no	—
1979	C₄⋊C₄	—	4	2	no	—
1980	C₄⋊C₄	—	4	1	no	—
1981	C₄⋊C₄	—	4	1	no	—
1982	C₄⋊C₄	—	4	1	no	—
1983	C₄⋊C₄	—	4	2	no	—
1984	C₄⋊C₄	—	4	1	no	—
1985	C₄⋊C₄	—	4	2	no	—
1986	C₄⋊C₄	—	4	2	no	—
1987	C₄⋊C₄	—	4	2	no	—
1988	C₄⋊C₄	—	4	2	no	—
1989	C₄⋊C₄	—	4	2	no	—
1990	C₄⋊C₄	—	4	2	no	—
1991	C₄⋊C₄	—	4	2	no	—
1992	C₄⋊C₄	—	4	1	no	—
1993	C₄⋊C₄	—	4	2	no	—
1994	C₄⋊C₄	—	4	1	no	—
1995	C₄⋊C₄	—	4	2	no	—
1996	C₄⋊C₄	—	4	1	no	—
1997	C₄⋊C₄	—	4	2	no	—
1998	C₄⋊C₄	—	4	2	no	—
1999	C₄⋊C₄	—	4	1	no	—
2000	C₄⋊C₄	—	4	2	no	—
2001	C₄⋊C₄	—	4	2	no	—
2002	C₄⋊C₄	—	4	2	no	—
2003	C₄⋊C₄	—	4	2	no	—
2004	C₄⋊C₄	—	4	2	no	—
2005	C₄⋊C₄	—	4	2	no	—
2006	C₄⋊C₄	—	4	2	no	—
2007	C₄⋊C₄	—	4	1	no	—
2008	C₄⋊C₄	—	4	1	no	—
2009	C₄⋊C₄	—	4	1	no	—
2010	C₄⋊C₄	—	4	2	no	—
2011	C₄⋊C₄	—	4	2	no	—
2012	C₄⋊C₄	—	4	2	no	—
2013	C₄⋊C₄	—	4	2	no	—
2014	C₄⋊C₄	—	4	1	no	—
2015	C₄⋊C₄	—	4	1	no	—
2016	C₄⋊C₄	—	4	2	no	—
2017	C₄⋊C₄	—	4	1	no	—
2018	C₄⋊C₄	—	4	2	no	—
2019	C₄⋊C₄	—	4	2	no	—
2020	C₄⋊C₄	—	4	1	no	—
2021	C₄⋊C₄	—	4	2	no	—
2022	C₄⋊C₄	—	4	1	no	—
2023	C₄⋊C₄	—	4	2	no	—
2024	C₄⋊C₄	—	4	2	no	—
2025	C₄⋊C₄	—	4	2	no	—
2026	C₄⋊C₄	—	4	1	no	—
2027	C₄⋊C₄	—	4	1	no	—
2028	C₄⋊C₄	—	4	2	no	—
2029	C₄⋊C₄	—	4	2	no	—
2030	C₄⋊C₄	—	4	1	no	—
2031	C₄⋊C₄	—	4	1	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	1	no	—
2037	C₄⋊C₄	—	4	2	no	—
2038	C₄⋊C₄	—	4	1	no	—
2039	C₄⋊C₄	—	4	2	no	—
2040	C₄⋊C₄	—	4	2	no	—
2041	C₄⋊C₄	—	4	1	no	—
2042	C₄⋊C₄	—	4	1	no	—
2043	C₄⋊C₄	—	4	2	no	—
2044	C₄⋊C₄	—	4	2	no	—
2045	C₄⋊C₄	—	4	2	no	—
2046	C₄⋊C₄	—	4	1	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	1	no	—
2057	C₄⋊C₄	—	4	2	no	—
2058	C₄⋊C₄	H(5,𝔽₂)	1	4	yes	—
2059	C₄⋊C₄	2₋¹⁺⁴	1	4	yes	—
2060	C₂²⋊C₄	—	2	4	no	—
2061	C₂²⋊C₄	—	2	4	no	—
2062	C₂²⋊C₄	—	2	4	no	—
2063	C₂²⋊C₄	—	2	4	no	—
2064	C₂²⋊C₄	—	2	2	no	—
2065	C₂²⋊C₄	—	2	2	no	—
2066	C₂²⋊C₄	—	2	4	no	—
2067	C₂²⋊C₄	—	2	4	no	—
2068	C₂²⋊C₄	—	2	4	no	—
2069	C₂²⋊C₄	—	2	2	no	—
2070	C₂²⋊C₄	—	2	2	no	—
2071	C₂²⋊C₄	—	2	4	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	—	4	1	no	—
2077	C₂²⋊C₄	—	4	1	no	—
2078	C₂²⋊C₄	—	4	2	no	—
2079	C₂²⋊C₄	—	4	2	no	—
2080	C₂²⋊C₄	—	4	1	no	—
2081	C₂²⋊C₄	—	4	1	no	—
2082	C₂²⋊C₄	—	4	2	no	—
2083	C₂²⋊C₄	—	4	1	no	—
2084	C₂²⋊C₄	—	4	2	no	—
2085	C₂²⋊C₄	—	4	2	no	—
2086	C₂²⋊C₄	—	4	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	2	no	—
2092	C₂²⋊C₄	—	4	2	no	—
2093	C₂²⋊C₄	—	4	2	no	—
2094	C₂²⋊C₄	—	4	2	no	—
2095	C₂²⋊C₄	—	4	1	no	—
2096	C₂²⋊C₄	—	4	1	no	—
2097	C₂²⋊C₄	—	4	2	no	—
2098	C₂²⋊C₄	—	4	2	no	—
2099	C₂²⋊C₄	—	4	2	no	—
2100	C₂²⋊C₄	—	4	2	no	—
2101	C₂²⋊C₄	—	4	2	no	—
2102	C₂²⋊C₄	—	4	2	no	—
2103	C₂²⋊C₄	—	4	2	no	—
2104	C₂²⋊C₄	—	4	2	no	—
2105	C₂²⋊C₄	—	4	2	no	—
2106	C₂²⋊C₄	—	4	2	no	—
2107	C₂²⋊C₄	—	4	1	no	—
2108	C₂²⋊C₄	—	4	2	no	—
2109	C₂²⋊C₄	—	4	2	no	—
2110	C₂²⋊C₄	—	4	2	no	—
2111	C₂²⋊C₄	—	4	1	no	—
2112	C₂²⋊C₄	—	4	1	no	—
2113	C₂²⋊C₄	—	4	1	no	—
2114	C₂²⋊C₄	—	4	2	no	—
2115	C₂²⋊C₄	—	4	2	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	C₄²	—	2	2	no	—
2123	C₄²	—	2	2	no	—
2124	C₄²	—	2	4	no	—
2125	C₄²	—	2	4	no	—
2126	C₄²	—	2	4	no	—
2127	C₄²	—	2	2	no	—
2128	C₄²	—	2	4	no	—
2129	C₄²	—	2	2	no	—
2130	C₄²	—	2	2	no	—
2131	C₄²	—	2	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	4	no	—
2141	C₄²	—	2	2	no	—
2142	C₄²	—	2	2	no	—
2143	C₄²	—	2	2	no	—
2144	C₄²	—	2	2	no	—
2145	C₄²	—	4	1	no	—
2146	C₄²	—	4	1	no	—
2147	C₄²	—	4	2	no	—
2148	C₄²	—	4	2	no	—
2149	C₄²	—	4	1	no	—
2150	C₄²	—	4	1	no	—
2151	C₄²	—	4	2	no	—
2152	C₄²	—	4	2	no	—
2153	C₄²	—	4	2	no	—
2154	C₄²	—	4	2	no	—
2155	C₄²	—	4	2	no	—
2156	C₄²	—	4	2	no	—
2157	C₄²	—	4	2	no	—
2158	C₄²	—	4	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	2	no	—
2166	C₄²	—	4	1	no	—
2167	C₄²	—	4	2	no	—
2168	C₄²	—	4	1	no	—
2169	C₄²	—	4	2	no	—
2170	C₄²	—	4	2	no	—
2171	C₂³	—	2	1	no	—
2172	C₂³	—	2	1	no	—
2173	C₂³	—	2	2	no	—
2174	C₂³	—	2	2	no	—
2175	C₂³	—	2	1	no	—
2176	C₂³	—	2	1	no	—
2177	C₂³	—	2	1	no	—
2178	C₂³	—	2	2	no	—
2179	C₂³	—	2	1	no	—
2180	C₂³	—	2	1	no	—
2181	C₂³	—	2	1	no	—
2182	C₂³	—	2	2	no	—
2183	C₂³	—	2	1	no	—
2184	C₂³	—	2	2	no	—
2185	C₂³	—	2	1	no	—
2186	C₂³	—	2	1	no	—
2187	C₂³	—	2	1	no	—
2188	C₂³	—	2	2	no	—
2189	C₂³	—	2	1	no	—
2190	C₂³	—	2	2	no	—
2191	C₂³	—	2	1	no	—
2192	C₂³	C₂⁶	1	1	yes	characteristic
2193	Q₈	—	2	8	no	—
2194	Q₈	—	4	8	no	—
2195	Q₈	—	4	4	no	—
2196	Q₈	—	4	4	no	—
2197	Q₈	—	4	8	no	—
2198	Q₈	—	4	4	no	—
2199	Q₈	—	4	4	no	—
2200	Q₈	—	4	4	no	—
2201	Q₈	—	8	2	no	—
2202	Q₈	—	8	4	no	—
2203	Q₈	—	8	4	no	—
2204	Q₈	—	8	4	no	—
2205	Q₈	—	16	2	no	—
2206	D₄	—	4	4	no	—
2207	D₄	—	8	2	no	—
2208	D₄	—	16	2	no	—
2209	D₄	—	16	2	no	—
2210	C₂×C₄	—	2	1	no	—
2211	C₂×C₄	—	2	2	no	—
2212	C₂×C₄	—	2	1	no	—
2213	C₂×C₄	—	2	1	no	—
2214	C₂×C₄	—	2	1	no	—
2215	C₂×C₄	—	2	1	no	—
2216	C₂×C₄	—	2	1	no	—
2217	C₂×C₄	—	2	1	no	—
2218	C₂×C₄	—	2	2	no	—
2219	C₂×C₄	—	2	2	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	1	no	—
2226	C₂×C₄	—	2	1	no	—
2227	C₂×C₄	—	2	1	no	—
2228	C₂×C₄	—	2	2	no	—
2229	C₂×C₄	—	2	1	no	—
2230	C₂×C₄	—	2	1	no	—
2231	C₂×C₄	—	2	1	no	—
2232	C₂×C₄	—	2	1	no	—
2233	C₂×C₄	—	2	2	no	—
2234	C₂×C₄	—	2	1	no	—
2235	C₂×C₄	—	2	1	no	—
2236	C₂×C₄	—	2	1	no	—
2237	C₂×C₄	—	2	2	no	—
2238	C₂×C₄	—	2	1	no	—
2239	C₂×C₄	—	2	1	no	—
2240	C₂×C₄	—	2	2	no	—
2241	C₂×C₄	—	2	2	no	—
2242	C₂×C₄	—	2	2	no	—
2243	C₂×C₄	—	2	2	no	—
2244	C₂×C₄	—	2	1	no	—
2245	C₂×C₄	—	2	1	no	—
2246	C₂×C₄	—	2	1	no	—
2247	C₂×C₄	—	2	2	no	—
2248	C₂×C₄	—	2	2	no	—
2249	C₂×C₄	—	2	1	no	—
2250	C₂×C₄	—	2	1	no	—
2251	C₂×C₄	—	2	1	no	—
2252	C₂×C₄	—	2	1	no	—
2253	C₂×C₄	—	2	1	no	—
2254	C₂×C₄	—	2	1	no	—
2255	C₂×C₄	—	2	2	no	—
2256	C₂×C₄	—	2	2	no	—
2257	C₂×C₄	—	2	1	no	—
2258	C₂×C₄	—	2	1	no	—
2259	C₂×C₄	—	2	1	no	—
2260	C₂×C₄	—	2	1	no	—
2261	C₂×C₄	—	2	1	no	—
2262	C₂×C₄	—	2	1	no	—
2263	C₂×C₄	—	2	2	no	—
2264	C₂×C₄	—	2	2	no	—
2265	C₂×C₄	—	2	1	no	—
2266	C₂×C₄	—	2	2	no	—
2267	C₂×C₄	—	2	1	no	—
2268	C₂×C₄	—	2	1	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	2	no	—
2274	C₂×C₄	—	2	2	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	2	no	—
2280	C₂×C₄	—	2	1	no	—
2281	C₂×C₄	—	2	2	no	—
2282	C₂×C₄	—	2	1	no	—
2283	C₂×C₄	—	2	2	no	—
2284	C₂×C₄	—	2	2	no	—
2285	C₂×C₄	—	2	2	no	—
2286	C₂×C₄	—	2	1	no	—
2287	C₂×C₄	—	2	1	no	—
2288	C₂×C₄	—	2	2	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	2	no	—
2294	C₂×C₄	—	2	2	no	—
2295	C₂×C₄	—	2	2	no	—
2296	C₂×C₄	—	2	2	no	—
2297	C₂×C₄	—	2	1	no	—
2298	C₂×C₄	—	2	1	no	—
2299	C₂×C₄	—	2	2	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	2	no	—
2306	C₂×C₄	—	2	1	no	—
2307	C₂×C₄	—	2	1	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	2	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	1	no	—
2320	C₂×C₄	—	2	2	no	—
2321	C₂×C₄	—	2	1	no	—
2322	C₂×C₄	—	2	1	no	—
2323	C₂×C₄	—	2	1	no	—
2324	C₂×C₄	—	2	2	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	2	no	—
2332	C₂×C₄	—	4	8	no	—
2333	C₂×C₄	—	4	4	no	—
2334	C₂×C₄	—	4	8	no	—
2335	C₂×C₄	—	4	4	no	—
2336	C₂×C₄	—	4	4	no	—
2337	C₂×C₄	—	8	4	no	—
2338	C₂×C₄	—	8	2	no	—
2339	C₂×C₄	—	8	4	no	—
2340	C₂×C₄	C₂×H(5,𝔽₂)	1	4	yes	—
2341	C₂×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
2342	C₂×C₄	C₂×2₋¹⁺⁴	1	2	yes	—
2343	C₂×C₄	C₂×2₋¹⁺⁴	1	2	yes	—
2344	C₂×C₄	C₂×2₋¹⁺⁴	1	2	yes	—
2345	C₂×C₄	C₂×2₋¹⁺⁴	1	4	yes	—
2346	C₂×C₄	C₂×2₋¹⁺⁴	1	2	yes	—
2347	C₂×C₄	#585	1	2	yes	—
2348	C₂×C₄	#585	1	2	yes	—
2349	C₂×C₄	#585	1	2	yes	—
2350	C₂²	—	4	1	no	—
2351	C₂²	—	4	1	no	—
2352	C₂²	—	4	2	no	—
2353	C₂²	—	4	2	no	—
2354	C₂²	—	4	1	no	—
2355	C₂²	—	4	1	no	—
2356	C₂²	—	4	2	no	—
2357	C₂²	—	4	1	no	—
2358	C₂²	—	4	1	no	—
2359	C₂²	—	4	1	no	—
2360	C₂²	—	4	2	no	—
2361	C₂²	—	4	1	no	—
2362	C₂²	—	4	1	no	—
2363	C₂²	—	4	1	no	—
2364	C₂²	—	4	2	no	—
2365	C₂²	—	4	1	no	—
2366	C₂²	—	4	2	no	—
2367	C₂²	—	4	1	no	—
2368	C₂²	—	4	1	no	—
2369	C₂²	—	4	1	no	—
2370	C₂²	—	4	2	no	—
2371	C₂²	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
2372	C₂²	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
2373	C₂²	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
2374	C₂²	C₂×#585	1	1	yes	characteristic
2375	C₂²	C₂×#585	1	1	yes	characteristic
2376	C₂²	C₂×#585	1	1	yes	characteristic
2377	C₂²	2₋¹⁺⁶	1	1	yes	characteristic
2378	C₄	—	2	4	no	—
2379	C₄	—	2	2	no	—
2380	C₄	—	2	4	no	—
2381	C₄	—	2	2	no	—
2382	C₄	—	2	2	no	—
2383	C₄	—	2	2	no	—
2384	C₄	—	2	2	no	—
2385	C₄	—	4	1	no	—
2386	C₄	—	4	1	no	—
2387	C₄	—	4	2	no	—
2388	C₄	—	4	2	no	—
2389	C₄	—	4	2	no	—
2390	C₄	—	4	1	no	—
2391	C₄	—	4	2	no	—
2392	C₄	—	4	1	no	—
2393	C₄	—	4	1	no	—
2394	C₄	—	4	2	no	—
2395	C₄	—	4	1	no	—
2396	C₄	—	4	2	no	—
2397	C₄	—	4	1	no	—
2398	C₄	—	4	1	no	—
2399	C₄	—	4	1	no	—
2400	C₄	—	4	2	no	—
2401	C₄	—	4	1	no	—
2402	C₄	—	4	1	no	—
2403	C₄	—	4	2	no	—
2404	C₄	—	4	1	no	—
2405	C₄	—	4	2	no	—
2406	C₄	—	4	1	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	1	no	—
2414	C₄	—	4	2	no	—
2415	C₄	—	4	1	no	—
2416	C₄	—	4	1	no	—
2417	C₄	—	4	1	no	—
2418	C₄	—	4	2	no	—
2419	C₄	—	4	2	no	—
2420	C₄	—	4	2	no	—
2421	C₄	#3541	1	4	yes	—
2422	C₂	—	8	1	no	—
2423	C₂	—	8	1	no	—
2424	C₂	—	8	2	no	—
2425	C₂	C₂×#3541	1	1	yes	characteristic
2426	C₂	#62913	1	1	yes	characteristic
2427	C₂	#62953	1	1	yes	characteristic
2428	C₂	#62968	1	1	yes	characteristic
2429	C₂	#63017	1	1	yes	characteristic
2430	C₂	#63032	1	1	yes	characteristic
2431	C₂	#63034	1	1	yes	characteristic

	subgroup	G/H
center, commutator, Frattini, socle, cosocle	C₂³	C₂⁶
prime radical	#2537	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. #59922	C₂	semidirect
2. #59719	C₂	semidirect
3. #59692	C₂	semidirect
4. #59682	C₂	semidirect
5. #59666	C₂	semidirect
6. #59456	C₂	semidirect
8. #59114	C₂	semidirect
9. #59081	C₂	semidirect
10. #58827	C₂	semidirect
11. #58689	C₂	semidirect
12. #58406	C₂	semidirect
13. #57618	C₂	semidirect
14. #57301	C₂	semidirect
15. #57198	C₂	semidirect
16. #56203	C₂	semidirect
17. #53138	C₂	semidirect
18. #53124	C₂	semidirect
20. #52298	C₂	semidirect
21. #47341	C₂	semidirect
22. #47292	C₂	semidirect
23. #47032	C₂	semidirect
24. #45294	C₂	semidirect
25. #45284	C₂	semidirect
26. #45149	C₂	semidirect
27. #44934	C₂	semidirect
28. #44202	C₂	semidirect
29. #44145	C₂	semidirect
30. #42834	C₂	semidirect
31. #42763	C₂	semidirect
32. #42701	C₂	semidirect
33. #41787	C₂	semidirect
34. #41754	C₂	semidirect
35. #41279	C₂	semidirect
37. #40190	C₂	semidirect
38. #40074	C₂	semidirect
39. #40034	C₂	semidirect
40. #39879	C₂	semidirect
41. #39663	C₂	semidirect
42. #39653	C₂	semidirect
43. #39219	C₂	semidirect
44. #38954	C₂	semidirect
45. #36007	C₂	semidirect
46. #35817	C₂	semidirect
47. #35711	C₂	semidirect

Maximal subgroups

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

subgroup	index
#59922	2
#59719	2
#59692	2
#59682	2
#59666	2
#59456	2
#59421	2
#59114	2
#59081	2
#58827	2
#58689	2
#58406	2
#57618	2
#57301	2
#57198	2
#56203	2
#53138	2
#53124	2
#53049	2
#52298	2
#47341	2
#47292	2
#47032	2
#45294	2
#45284	2
#45149	2
#44934	2
#44202	2
#44145	2
#42834	2
#42763	2
#42701	2
#41787	2
#41754	2
#41279	2
#40194	2
#40190	2
#40074	2
#40034	2
#39879	2
#39663	2
#39653	2
#39219	2
#38954	2
#36007	2
#35817	2
#35711	2