Subgroups — #7675042

Order 512.

4481 conjugacy classes of subgroups.

The subgroup lattice has 2414 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	#59922	C₂	1	1	yes	maximal, characteristic, complemented
3	#59670	C₂	1	1	yes	maximal, characteristic, complemented
4	#59566	C₂	1	1	yes	maximal, characteristic
5	#59547	C₂	1	1	yes	maximal, characteristic, complemented
6	#59506	C₂	1	1	yes	maximal, characteristic, complemented
7	#59502	C₂	1	1	yes	maximal, characteristic, complemented
8	#59400	C₂	1	1	yes	maximal, characteristic, complemented
9	#59316	C₂	1	1	yes	maximal, characteristic
10	#59298	C₂	1	1	yes	maximal, characteristic, complemented
11	#59297	C₂	1	1	yes	maximal, characteristic, complemented
12	#59294	C₂	1	1	yes	maximal, characteristic, complemented
13	#59262	C₂	1	1	yes	maximal, characteristic, complemented
14	#59256	C₂	1	1	yes	maximal, characteristic, complemented
15	#59116	C₂	1	1	yes	maximal, characteristic, complemented
16	#59114	C₂	1	1	yes	maximal, characteristic, complemented
17	#44682	C₂	1	2	yes	maximal
18	#44613	C₂	1	2	yes	maximal, complemented
19	#44528	C₂	1	2	yes	maximal, complemented
20	#44506	C₂	1	2	yes	maximal, complemented
21	#43864	C₂	1	2	yes	maximal, complemented
22	#43784	C₂	1	2	yes	maximal, complemented
23	#43758	C₂	1	2	yes	maximal, complemented
24	#43738	C₂	1	2	yes	maximal, complemented
25	#39787	C₂	1	1	yes	maximal, characteristic, complemented
26	#39667	C₂	1	1	yes	maximal, characteristic, complemented
27	#39091	C₂	1	2	yes	maximal, complemented
28	#39011	C₂	1	1	yes	maximal, characteristic, complemented
29	#39003	C₂	1	1	yes	maximal, characteristic, complemented
30	#38991	C₂	1	2	yes	maximal, complemented
31	#37920	C₂	1	2	yes	maximal, complemented
32	#37821	C₂	1	2	yes	maximal
33	#36491	C₂	1	1	yes	maximal, characteristic, complemented
34	#36475	C₂	1	1	yes	maximal, characteristic, complemented
35	#36178	C₂	1	1	yes	maximal, characteristic, complemented
36	#36133	C₂	1	1	yes	maximal, characteristic, complemented
37	#35498	C₂	1	2	yes	maximal, complemented
38	#35494	C₂	1	2	yes	maximal, complemented
39	#35121	C₂	1	2	yes	maximal, complemented
40	#35039	C₂	1	1	yes	maximal, characteristic, complemented
41	#34815	C₂	1	1	yes	maximal, characteristic, complemented
42	#34793	C₂	1	1	yes	maximal, characteristic, complemented
43	#34324	C₂	1	1	yes	maximal, characteristic, complemented
44	#34235	C₂	1	1	yes	maximal, characteristic, complemented
45	#34231	C₂	1	2	yes	maximal, complemented
46	C₄×#552	C₂	1	1	yes	maximal, characteristic, complemented
47	C₄×#539	C₂	1	1	yes	maximal, characteristic
48	C₂×#556	C₂²	1	1	yes	characteristic
49	C₂×#552	C₂²	1	1	yes	characteristic
50	C₂×#539	C₂²	1	1	yes	characteristic
51	C₂×#533	C₂²	1	2	yes	—
52	C₂×#533	C₂²	1	1	yes	characteristic
53	#2866	C₂²	1	2	yes	—
54	#2864	C₂²	1	2	yes	—
55	#2864	C₂²	1	1	yes	characteristic
56	#2863	C₂²	1	1	yes	characteristic
57	#2857	C₂²	1	1	yes	characteristic
58	#2855	C₂²	1	2	yes	—
59	#2855	C₂²	1	1	yes	characteristic
60	#2853	C₂²	1	2	yes	—
61	#2809	C₂²	1	2	yes	—
62	#2807	C₂²	1	2	yes	—
63	#2798	C₂²	1	2	yes	—
64	#2791	C₂²	1	2	yes	—
65	#2790	C₂²	1	2	yes	—
66	#2789	C₂²	1	2	yes	—
67	#2787	C₂²	1	2	yes	—
68	#2783	C₂²	1	2	yes	—
69	#2781	C₂²	1	2	yes	—
70	#2776	C₂²	1	2	yes	—
71	#2770	C₂²	1	2	yes	—
72	#2770	C₂²	1	2	yes	—
73	#2769	C₂²	1	2	yes	—
74	#2769	C₂²	1	2	yes	—
75	#2769	C₂²	1	2	yes	—
76	#2768	C₂²	1	2	yes	—
77	#2768	C₂²	1	2	yes	—
78	#2767	C₂²	1	2	yes	—
79	#2766	C₂²	1	2	yes	—
80	#2766	C₂²	1	2	yes	—
81	#2766	C₂²	1	2	yes	—
82	#2765	C₂²	1	2	yes	—
83	#2764	C₂²	1	2	yes	—
84	#2762	C₂²	1	2	yes	—
85	#2762	C₂²	1	2	yes	—
86	#2762	C₂²	1	2	yes	—
87	#2762	C₂²	1	2	yes	—
88	#2761	C₂²	1	2	yes	—
89	#2758	C₂²	1	2	yes	—
90	#2757	C₂²	1	2	yes	—
91	#2755	C₂²	1	2	yes	—
92	#2754	C₂²	1	2	yes	—
93	#2746	C₂²	1	2	yes	—
94	#2743	C₂²	1	2	yes	—
95	#2739	C₂²	1	2	yes	—
96	#2739	C₂²	1	2	yes	—
97	#2738	C₂²	1	2	yes	—
98	#2729	C₂²	1	2	yes	—
99	#2729	C₂²	1	2	yes	—
100	#2722	C₂²	1	2	yes	—
101	#2713	C₂²	1	2	yes	—
102	#2698	C₂²	1	2	yes	—
103	#2698	C₂²	1	2	yes	—
104	#2689	C₂²	1	2	yes	—
105	#2687	C₂²	1	2	yes	—
106	#2680	C₂²	1	2	yes	—
107	#2674	C₂²	1	2	yes	—
108	#2672	C₂²	1	2	yes	—
109	#2667	C₂²	1	2	yes	—
110	#2663	C₂²	1	2	yes	—
111	#2655	C₂²	1	2	yes	—
112	#2654	C₂²	1	2	yes	—
113	#2652	C₂²	1	2	yes	—
114	#2638	C₂²	1	2	yes	—
115	#2612	C₂²	1	2	yes	—
116	#2611	C₂²	1	2	yes	—
117	#2611	C₂²	1	2	yes	—
118	#2611	C₂²	1	2	yes	—
119	#2609	C₂²	1	2	yes	—
120	#2606	C₂²	1	2	yes	—
121	#2599	C₂²	1	2	yes	—
122	#2596	C₂²	1	2	yes	—
123	#2594	C₂²	1	2	yes	—
124	#2594	C₂²	1	2	yes	—
125	#2590	C₂²	1	2	yes	—
126	#2590	C₂²	1	2	yes	—
127	#2590	C₂²	1	2	yes	—
128	#2590	C₂²	1	2	yes	—
129	#2590	C₂²	1	2	yes	—
130	#2590	C₂²	1	2	yes	—
131	#2590	C₂²	1	2	yes	—
132	#2589	C₂²	1	2	yes	—
133	#2589	C₂²	1	2	yes	—
134	#2588	C₂²	1	2	yes	—
135	#2588	C₂²	1	2	yes	—
136	#2587	C₂²	1	2	yes	—
137	#2587	C₂²	1	2	yes	—
138	#2587	C₂²	1	2	yes	—
139	#2585	C₂²	1	2	yes	—
140	#2585	C₂²	1	2	yes	—
141	#2585	C₂²	1	2	yes	—
142	#2585	C₂²	1	2	yes	—
143	#2585	C₂²	1	2	yes	—
144	#2585	C₂²	1	2	yes	—
145	#2584	C₂²	1	2	yes	—
146	#2582	C₂²	1	1	yes	characteristic
147	#2582	C₂²	1	1	yes	characteristic
148	#2577	C₂²	1	2	yes	—
149	#2577	C₂²	1	2	yes	—
150	#2576	C₂²	1	2	yes	—
151	#2575	C₂²	1	2	yes	—
152	#2575	C₂²	1	2	yes	—
153	#2575	C₂²	1	2	yes	—
154	#2573	C₂²	1	2	yes	—
155	#2573	C₂²	1	2	yes	—
156	#2571	C₂²	1	1	yes	characteristic
157	#2571	C₂²	1	1	yes	characteristic
158	#2570	C₂²	1	1	yes	characteristic
159	#2570	C₂²	1	2	yes	—
160	#2570	C₂²	1	1	yes	characteristic
161	#2570	C₂²	1	1	yes	characteristic
162	#2570	C₂²	1	2	yes	—
163	#2553	C₂²	1	2	yes	—
164	#2551	C₂²	1	1	yes	characteristic
165	#2550	C₂²	1	1	yes	characteristic
166	#2550	C₂²	1	1	yes	characteristic
167	#2546	C₂²	1	1	yes	characteristic
168	#2536	C₂²	1	1	yes	characteristic
169	#2533	C₂²	1	2	yes	—
170	#2533	C₂²	1	2	yes	—
171	#2533	C₂²	1	2	yes	—
172	#2532	C₂²	1	2	yes	—
173	#2530	C₂²	1	2	yes	—
174	#2529	C₂²	1	2	yes	—
175	#2529	C₂²	1	2	yes	—
176	#2528	C₂²	1	2	yes	—
177	#2528	C₂²	1	2	yes	—
178	#2528	C₂²	1	2	yes	—
179	#2528	C₂²	1	2	yes	—
180	#2528	C₂²	1	2	yes	—
181	#2528	C₂²	1	2	yes	—
182	#2528	C₂²	1	2	yes	—
183	#2528	C₂²	1	2	yes	—
184	#2528	C₂²	1	2	yes	—
185	#2525	C₂²	1	2	yes	—
186	#2525	C₂²	1	2	yes	—
187	#2524	C₂²	1	2	yes	—
188	#2524	C₂²	1	2	yes	—
189	#2524	C₂²	1	2	yes	—
190	#2524	C₂²	1	2	yes	—
191	#2524	C₂²	1	2	yes	—
192	#2524	C₂²	1	2	yes	—
193	#2524	C₂²	1	2	yes	—
194	#2523	C₂²	1	2	yes	—
195	#2521	C₂²	1	2	yes	—
196	#2520	C₂²	1	2	yes	—
197	#2520	C₂²	1	2	yes	—
198	#2520	C₂²	1	2	yes	—
199	#2519	C₂²	1	2	yes	—
200	#2519	C₂²	1	2	yes	—
201	#2519	C₂²	1	2	yes	—
202	#2517	C₂²	1	2	yes	—
203	#2516	C₂²	1	2	yes	—
204	#2515	C₂²	1	2	yes	—
205	#2515	C₂²	1	2	yes	—
206	#2514	C₂²	1	1	yes	characteristic
207	#2514	C₂²	1	1	yes	characteristic
208	#2514	C₂²	1	1	yes	characteristic
209	#2511	C₂²	1	1	yes	characteristic
210	#2510	C₂²	1	2	yes	—
211	#2509	C₂²	1	2	yes	—
212	#2509	C₂²	1	1	yes	characteristic
213	#2509	C₂²	1	1	yes	characteristic
214	#2509	C₂²	1	1	yes	characteristic
215	#2509	C₂²	1	1	yes	characteristic
216	#2508	C₂²	1	2	yes	—
217	#2508	C₂²	1	1	yes	characteristic
218	#2508	C₂²	1	1	yes	characteristic
219	#2508	C₂²	1	1	yes	characteristic
220	#2508	C₂²	1	2	yes	—
221	#2508	C₂²	1	1	yes	characteristic
222	#2507	C₂²	1	1	yes	characteristic
223	#2507	C₂²	1	1	yes	characteristic
224	#2507	C₂²	1	1	yes	characteristic
225	#2507	C₂²	1	1	yes	characteristic
226	#2507	C₂²	1	2	yes	—
227	#2507	C₂²	1	1	yes	characteristic
228	#2506	C₂²	1	1	yes	characteristic
229	#2506	C₂²	1	1	yes	characteristic
230	#2506	C₂²	1	1	yes	characteristic
231	#2506	C₂²	1	2	yes	—
232	#2506	C₂²	1	1	yes	characteristic
233	#2506	C₂²	1	2	yes	—
234	#2506	C₂²	1	2	yes	—
235	#2505	C₂²	1	2	yes	—
236	#2505	C₂²	1	2	yes	—
237	#2505	C₂²	1	2	yes	—
238	#2499	C₂²	1	1	yes	characteristic
239	#2499	C₂²	1	1	yes	characteristic
240	#2497	C₂²	1	1	yes	characteristic
241	#2495	C₂²	1	1	yes	characteristic
242	#2495	C₂²	1	2	yes	—
243	#2495	C₂²	1	1	yes	characteristic
244	#2495	C₂²	1	1	yes	characteristic
245	#2495	C₂²	1	1	yes	characteristic
246	#2494	C₂²	1	1	yes	characteristic
247	#2494	C₂²	1	1	yes	characteristic
248	#2494	C₂²	1	2	yes	—
249	#2489	C₂²	1	1	yes	characteristic
250	#2485	C₂²	1	1	yes	characteristic
251	#2485	C₂²	1	1	yes	characteristic
252	#2485	C₂²	1	1	yes	characteristic
253	#2479	C₂²	1	2	yes	—
254	#2478	C₂²	1	2	yes	—
255	#2478	C₂²	1	2	yes	—
256	#2478	C₂²	1	2	yes	—
257	#2476	C₂²	1	2	yes	—
258	#2475	C₂²	1	2	yes	—
259	#2474	C₂²	1	2	yes	—
260	#2473	C₂²	1	2	yes	—
261	#2473	C₂²	1	2	yes	—
262	#2470	C₂²	1	2	yes	—
263	#2470	C₂²	1	2	yes	—
264	#2470	C₂²	1	2	yes	—
265	#2469	C₂²	1	2	yes	—
266	#2469	C₂²	1	2	yes	—
267	#2462	C₂²	1	2	yes	—
268	#2462	C₂²	1	2	yes	—
269	#2462	C₂²	1	2	yes	—
270	#2462	C₂²	1	2	yes	—
271	#2462	C₂²	1	2	yes	—
272	#2462	C₂²	1	2	yes	—
273	#2462	C₂²	1	2	yes	—
274	#2462	C₂²	1	2	yes	—
275	#2462	C₂²	1	2	yes	—
276	#2460	C₂²	1	2	yes	—
277	#2460	C₂²	1	2	yes	—
278	#2458	C₂²	1	2	yes	—
279	#2453	C₂²	1	1	yes	characteristic
280	#2453	C₂²	1	1	yes	characteristic
281	#2451	C₂²	1	1	yes	characteristic
282	#2451	C₂²	1	1	yes	characteristic
283	#2451	C₂²	1	2	yes	—
284	#2451	C₂²	1	1	yes	characteristic
285	#2446	C₂²	1	2	yes	—
286	#2446	C₂²	1	1	yes	characteristic
287	#2446	C₂²	1	1	yes	characteristic
288	#2442	C₂²	1	1	yes	characteristic
289	#2441	C₂²	1	1	yes	characteristic
290	#2441	C₂²	1	1	yes	characteristic
291	#2440	C₂²	1	1	yes	characteristic
292	#2440	C₂²	1	1	yes	characteristic
293	#2439	C₂²	1	1	yes	characteristic
294	#2439	C₂²	1	1	yes	characteristic
295	#2439	C₂²	1	1	yes	characteristic
296	#2438	C₂²	1	2	yes	—
297	#2438	C₂²	1	2	yes	—
298	#2429	C₂²	1	1	yes	characteristic
299	#2429	C₂²	1	1	yes	characteristic
300	#2423	C₂²	1	1	yes	characteristic
301	#2423	C₂²	1	1	yes	characteristic
302	#2423	C₂²	1	1	yes	characteristic
303	#2423	C₂²	1	1	yes	characteristic
304	#2423	C₂²	1	2	yes	—
305	#2421	C₂²	1	2	yes	—
306	#2421	C₂²	1	1	yes	characteristic
307	#2421	C₂²	1	1	yes	characteristic
308	#2417	C₂²	1	1	yes	characteristic
309	#2415	C₂²	1	1	yes	characteristic
310	#2415	C₂²	1	1	yes	characteristic
311	#2402	C₂²	1	2	yes	—
312	#2402	C₂²	1	2	yes	—
313	#2401	C₂²	1	2	yes	—
314	#2395	C₂²	1	2	yes	—
315	#2373	C₂²	1	2	yes	—
316	#2373	C₂²	1	2	yes	—
317	#2373	C₂²	1	2	yes	—
318	#2371	C₂²	1	2	yes	—
319	#2370	C₂²	1	1	yes	characteristic
320	#2370	C₂²	1	1	yes	characteristic
321	#2370	C₂²	1	1	yes	characteristic
322	#2369	C₂²	1	2	yes	—
323	#2369	C₂²	1	2	yes	—
324	#2367	C₂²	1	2	yes	—
325	#2365	C₂²	1	1	yes	characteristic
326	#2365	C₂²	1	1	yes	characteristic
327	#2365	C₂²	1	2	yes	—
328	#2365	C₂²	1	1	yes	characteristic
329	#2365	C₂²	1	1	yes	characteristic
330	#2365	C₂²	1	1	yes	characteristic
331	#2365	C₂²	1	1	yes	characteristic
332	#2365	C₂²	1	2	yes	—
333	#2362	C₂²	1	1	yes	characteristic
334	#2362	C₂²	1	1	yes	characteristic
335	#2362	C₂²	1	1	yes	characteristic
336	#2362	C₂²	1	1	yes	characteristic
337	#2362	C₂²	1	1	yes	characteristic
338	#2362	C₂²	1	2	yes	—
339	#2362	C₂²	1	2	yes	—
340	#2362	C₂²	1	2	yes	—
341	#2362	C₂²	1	2	yes	—
342	#2360	C₂²	1	1	yes	characteristic
343	#2360	C₂²	1	2	yes	—
344	#2360	C₂²	1	1	yes	characteristic
345	#2360	C₂²	1	2	yes	—
346	#2359	C₂²	1	2	yes	—
347	#2356	C₂²	1	2	yes	—
348	#2356	C₂²	1	2	yes	—
349	#2356	C₂²	1	1	yes	characteristic
350	#2356	C₂²	1	1	yes	characteristic
351	#2356	C₂²	1	1	yes	characteristic
352	#2356	C₂²	1	2	yes	—
353	#2356	C₂²	1	2	yes	—
354	#2355	C₂²	1	2	yes	—
355	#2355	C₂²	1	1	yes	characteristic
356	#2354	C₂²	1	1	yes	characteristic
357	#2352	C₂²	1	1	yes	characteristic
358	#2352	C₂²	1	1	yes	characteristic
359	#2351	C₂²	1	1	yes	characteristic
360	#2351	C₂²	1	1	yes	characteristic
361	#2351	C₂²	1	1	yes	characteristic
362	#2351	C₂²	1	1	yes	characteristic
363	#2351	C₂²	1	1	yes	characteristic
364	Q₈×C₄⋊C₄	C₂²	1	1	yes	characteristic
365	Q₈×C₄⋊C₄	C₂²	1	1	yes	characteristic
366	Q₈×C₄⋊C₄	C₂²	1	1	yes	characteristic
367	#2347	C₂²	1	2	yes	—
368	#2347	C₂²	1	1	yes	characteristic
369	#2347	C₂²	1	2	yes	—
370	#2346	C₂²	1	1	yes	characteristic
371	#2346	C₂²	1	1	yes	characteristic
372	#2346	C₂²	1	2	yes	—
373	#2346	C₂²	1	1	yes	characteristic
374	#2346	C₂²	1	2	yes	—
375	#2344	C₂²	1	1	yes	characteristic
376	#2344	C₂²	1	1	yes	characteristic
377	#2344	C₂²	1	1	yes	characteristic
378	#2343	C₂²	1	2	yes	—
379	#2343	C₂²	1	2	yes	—
380	#2343	C₂²	1	2	yes	—
381	#2336	C₂²	1	1	yes	characteristic
382	#2336	C₂²	1	1	yes	characteristic
383	#2336	C₂²	1	2	yes	—
384	#2336	C₂²	1	2	yes	—
385	#2336	C₂²	1	2	yes	—
386	#2335	C₂²	1	1	yes	characteristic
387	#2335	C₂²	1	1	yes	characteristic
388	#2334	C₂²	1	2	yes	—
389	#2334	C₂²	1	2	yes	—
390	#2334	C₂²	1	1	yes	characteristic
391	#2334	C₂²	1	1	yes	characteristic
392	#2332	C₂²	1	2	yes	—
393	#2332	C₂²	1	1	yes	characteristic
394	#2332	C₂²	1	1	yes	characteristic
395	#2332	C₂²	1	2	yes	—
396	#2332	C₂²	1	2	yes	—
397	#2329	C₂²	1	1	yes	characteristic
398	#2326	C₂²	1	2	yes	—
399	#2325	C₂²	1	1	yes	characteristic
400	#2322	C₂²	1	1	yes	characteristic
401	#2322	C₂²	1	1	yes	characteristic
402	#2320	C₂²	1	2	yes	—
403	#2320	C₂²	1	2	yes	—
404	#2320	C₂²	1	2	yes	—
405	#2318	C₂²	1	1	yes	characteristic
406	#2318	C₂²	1	1	yes	characteristic
407	#2313	C₂²	1	1	yes	characteristic
408	C₄×C₄⋊Q₈	C₂²	1	1	yes	characteristic
409	C₄×#125	C₂²	1	1	yes	characteristic
410	C₄×#125	C₂²	1	1	yes	characteristic
411	C₄×#125	C₂²	1	1	yes	characteristic
412	C₄×#125	C₂²	1	2	yes	—
413	C₄×#125	C₂²	1	2	yes	—
414	C₄×#125	C₂²	1	1	yes	characteristic
415	C₄×#125	C₂²	1	2	yes	—
416	C₄×#125	C₂²	1	2	yes	—
417	C₄×#125	C₂²	1	2	yes	—
418	C₄×#125	C₂²	1	2	yes	—
419	C₄×#126	C₂²	1	1	yes	characteristic
420	C₄×#126	C₂²	1	1	yes	characteristic
421	C₄×#126	C₂²	1	2	yes	—
422	C₄×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
423	C₄×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
424	C₄×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
425	C₄×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
426	C₄×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
427	C₄×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
428	C₄×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
429	C₄×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
430	C₄×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
431	C₄×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
432	C₄×#123	C₂²	1	1	yes	characteristic
433	C₄×#123	C₂²	1	2	yes	—
434	C₄×#123	C₂²	1	1	yes	characteristic
435	C₄×#123	C₂²	1	1	yes	characteristic
436	C₄×#123	C₂²	1	1	yes	characteristic
437	C₄×#121	C₂²	1	1	yes	characteristic
438	#2298	C₂²	1	2	yes	—
439	#2296	C₂²	1	1	yes	characteristic
440	#2296	C₂²	1	1	yes	characteristic
441	#2296	C₂²	1	1	yes	characteristic
442	#2296	C₂²	1	1	yes	characteristic
443	#2296	C₂²	1	1	yes	characteristic
444	#2295	C₂²	1	1	yes	characteristic
445	#2295	C₂²	1	1	yes	characteristic
446	#2285	C₂²	1	1	yes	characteristic
447	#2285	C₂²	1	1	yes	characteristic
448	#2283	C₂²	1	2	yes	—
449	#2283	C₂²	1	1	yes	characteristic
450	#2276	C₂²	1	2	yes	—
451	#2276	C₂²	1	2	yes	—
452	C₄²×Q₈	C₂²	1	1	yes	characteristic
453	C₄²×D₄	C₂²	1	1	yes	characteristic
454	C₄²×D₄	C₂²	1	1	yes	characteristic
455	C₄×#117	C₂²	1	2	yes	—
456	C₄×#117	C₂²	1	1	yes	characteristic
457	C₂×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic
458	C₂×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic
459	#556	—	2	8	no	—
460	#552	—	2	8	no	—
461	#539	—	2	8	no	—
462	#533	—	2	16	no	—
463	#533	—	2	8	no	—
464	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
465	C₂×C₄⋊Q₈	C₂³	1	2	yes	—
466	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
467	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
468	C₂×C₄⋊Q₈	C₂³	1	2	yes	—
469	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
470	C₂×#126	C₂³	1	1	yes	characteristic
471	C₂×#126	C₂³	1	1	yes	characteristic
472	C₂×#126	C₂³	1	2	yes	—
473	C₂×#126	C₂³	1	2	yes	—
474	C₂×#126	C₂³	1	2	yes	—
475	C₂×#125	C₂³	1	2	yes	—
476	C₂×#125	C₂³	1	2	yes	—
477	C₂×#125	C₂³	1	1	yes	characteristic
478	C₂×#125	C₂³	1	1	yes	characteristic
479	C₂×#125	C₂³	1	1	yes	characteristic
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	2	yes	—
484	C₂×#125	C₂³	1	2	yes	—
485	C₂×#124	C₂³	1	2	yes	—
486	C₂×#123	C₂³	1	1	yes	characteristic
487	C₂×#123	C₂³	1	1	yes	characteristic
488	C₂×#123	C₂³	1	1	yes	characteristic
489	C₂×#123	C₂³	1	1	yes	characteristic
490	C₂×#123	C₂³	1	2	yes	—
491	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
492	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
493	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
494	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
495	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
496	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
497	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
498	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
499	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
500	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
501	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
502	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
503	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
504	C₂×#121	C₂³	1	1	yes	characteristic
505	C₂×C₄×Q₈	C₂³	1	2	yes	—
506	C₂×C₄×Q₈	C₂³	1	2	yes	—
507	C₂×C₄×Q₈	C₂³	1	2	yes	—
508	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
509	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
510	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
511	C₂×C₄×Q₈	C₂³	1	2	yes	—
512	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
513	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
514	C₂×C₄×Q₈	C₂³	1	2	yes	—
515	C₂×C₄×Q₈	C₂³	1	2	yes	—
516	C₂×C₄×Q₈	C₂³	1	2	yes	—
517	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
518	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
519	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
520	C₂×C₄×Q₈	C₂³	1	2	yes	—
521	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
522	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
523	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
524	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
525	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
526	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
527	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
528	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
529	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
530	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
531	C₂×#117	C₂³	1	2	yes	—
532	C₂×#117	C₂³	1	2	yes	—
533	C₂×#117	C₂³	1	2	yes	—
534	C₂×#117	C₂³	1	2	yes	—
535	C₂×#117	C₂³	1	1	yes	characteristic
536	C₂×#117	C₂³	1	1	yes	characteristic
537	C₂×#117	C₂³	1	1	yes	characteristic
538	C₂×#117	C₂³	1	1	yes	characteristic
539	C₂×#117	C₂³	1	2	yes	—
540	C₂×#117	C₂³	1	2	yes	—
541	C₂×#117	C₂³	1	1	yes	characteristic
542	C₂×#117	C₂³	1	1	yes	characteristic
543	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
544	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
545	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
546	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
547	C₂²×C₄²	C₂³	1	2	yes	—
548	C₂²×C₄²	C₂³	1	1	yes	characteristic
549	C₂²×C₄²	C₂³	1	1	yes	characteristic
550	C₂²×C₄²	C₂³	1	1	yes	characteristic
551	C₂²×C₄²	C₂³	1	1	yes	characteristic
552	C₂²×C₄²	C₂³	1	1	yes	characteristic
553	#401	C₂³	1	2	yes	—
554	#401	C₂³	1	2	yes	—
555	#401	C₂³	1	2	yes	—
556	#401	C₂³	1	2	yes	—
557	#401	C₂³	1	2	yes	—
558	#400	C₂³	1	2	yes	—
559	#400	C₂³	1	2	yes	—
560	#400	C₂³	1	2	yes	—
561	#400	C₂³	1	2	yes	—
562	#400	C₂³	1	2	yes	—
563	#400	C₂³	1	2	yes	—
564	#400	C₂³	1	2	yes	—
565	#400	C₂³	1	2	yes	—
566	#400	C₂³	1	2	yes	—
567	#400	C₂³	1	2	yes	—
568	#400	C₂³	1	2	yes	—
569	#400	C₂³	1	2	yes	—
570	#400	C₂³	1	2	yes	—
571	#400	C₂³	1	2	yes	—
572	#400	C₂³	1	2	yes	—
573	#400	C₂³	1	2	yes	—
574	#400	C₂³	1	2	yes	—
575	#400	C₂³	1	2	yes	—
576	#400	C₂³	1	2	yes	—
577	#400	C₂³	1	2	yes	—
578	#400	C₂³	1	2	yes	—
579	#400	C₂³	1	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	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	#399	C₂³	1	2	yes	—
600	#399	C₂³	1	2	yes	—
601	#399	C₂³	1	2	yes	—
602	#399	C₂³	1	2	yes	—
603	#399	C₂³	1	2	yes	—
604	#399	C₂³	1	2	yes	—
605	#398	C₂³	1	2	yes	—
606	#398	C₂³	1	2	yes	—
607	#398	C₂³	1	2	yes	—
608	#398	C₂³	1	2	yes	—
609	#398	C₂³	1	2	yes	—
610	#398	C₂³	1	2	yes	—
611	#398	C₂³	1	2	yes	—
612	#398	C₂³	1	2	yes	—
613	#398	C₂³	1	2	yes	—
614	#398	C₂³	1	2	yes	—
615	#398	C₂³	1	2	yes	—
616	#398	C₂³	1	2	yes	—
617	#398	C₂³	1	2	yes	—
618	#398	C₂³	1	2	yes	—
619	#398	C₂³	1	2	yes	—
620	#398	C₂³	1	2	yes	—
621	#398	C₂³	1	2	yes	—
622	#398	C₂³	1	2	yes	—
623	#398	C₂³	1	2	yes	—
624	#398	C₂³	1	2	yes	—
625	#398	C₂³	1	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	2	yes	—
644	#398	C₂³	1	2	yes	—
645	#398	C₂³	1	2	yes	—
646	#398	C₂³	1	2	yes	—
647	#398	C₂³	1	2	yes	—
648	#398	C₂³	1	2	yes	—
649	#398	C₂³	1	2	yes	—
650	#398	C₂³	1	2	yes	—
651	#398	C₂³	1	2	yes	—
652	#397	C₂³	1	2	yes	—
653	#397	C₂³	1	2	yes	—
654	#397	C₂³	1	2	yes	—
655	#397	C₂³	1	2	yes	—
656	#397	C₂³	1	2	yes	—
657	#397	C₂³	1	2	yes	—
658	#397	C₂³	1	2	yes	—
659	#397	C₂³	1	2	yes	—
660	#397	C₂³	1	2	yes	—
661	#397	C₂³	1	2	yes	—
662	#397	C₂³	1	2	yes	—
663	#397	C₂³	1	2	yes	—
664	#397	C₂³	1	2	yes	—
665	#397	C₂³	1	2	yes	—
666	#397	C₂³	1	2	yes	—
667	#397	C₂³	1	2	yes	—
668	#397	C₂³	1	2	yes	—
669	#397	C₂³	1	2	yes	—
670	#396	C₂³	1	2	yes	—
671	#396	C₂³	1	2	yes	—
672	#396	C₂³	1	2	yes	—
673	#396	C₂³	1	2	yes	—
674	#396	C₂³	1	2	yes	—
675	#396	C₂³	1	2	yes	—
676	#396	C₂³	1	2	yes	—
677	#396	C₂³	1	2	yes	—
678	#396	C₂³	1	2	yes	—
679	#395	C₂³	1	2	yes	—
680	#395	C₂³	1	2	yes	—
681	#395	C₂³	1	2	yes	—
682	#395	C₂³	1	2	yes	—
683	#395	C₂³	1	2	yes	—
684	#395	C₂³	1	2	yes	—
685	#395	C₂³	1	2	yes	—
686	#395	C₂³	1	2	yes	—
687	#395	C₂³	1	2	yes	—
688	#394	C₂³	1	2	yes	—
689	#394	C₂³	1	2	yes	—
690	#394	C₂³	1	2	yes	—
691	#394	C₂³	1	2	yes	—
692	#394	C₂³	1	2	yes	—
693	#394	C₂³	1	2	yes	—
694	#393	C₂³	1	2	yes	—
695	#393	C₂³	1	2	yes	—
696	#393	C₂³	1	2	yes	—
697	#391	C₂³	1	2	yes	—
698	#391	C₂³	1	2	yes	—
699	#391	C₂³	1	2	yes	—
700	#391	C₂³	1	2	yes	—
701	#391	C₂³	1	2	yes	—
702	#391	C₂³	1	2	yes	—
703	#391	C₂³	1	2	yes	—
704	#391	C₂³	1	2	yes	—
705	#391	C₂³	1	2	yes	—
706	#391	C₂³	1	2	yes	—
707	#391	C₂³	1	1	yes	characteristic
708	#391	C₂³	1	1	yes	characteristic
709	#391	C₂³	1	1	yes	characteristic
710	#391	C₂³	1	1	yes	characteristic
711	#391	C₂³	1	1	yes	characteristic
712	#391	C₂³	1	1	yes	characteristic
713	#391	C₂³	1	1	yes	characteristic
714	#391	C₂³	1	2	yes	—
715	#391	C₂³	1	2	yes	—
716	#391	C₂³	1	2	yes	—
717	#391	C₂³	1	2	yes	—
718	#391	C₂³	1	2	yes	—
719	#391	C₂³	1	2	yes	—
720	#391	C₂³	1	1	yes	characteristic
721	#391	C₂³	1	2	yes	—
722	#391	C₂³	1	1	yes	characteristic
723	#391	C₂³	1	1	yes	characteristic
724	#391	C₂³	1	1	yes	characteristic
725	#391	C₂³	1	1	yes	characteristic
726	#391	C₂³	1	1	yes	characteristic
727	#391	C₂³	1	1	yes	characteristic
728	#391	C₂³	1	1	yes	characteristic
729	#390	C₂³	1	2	yes	—
730	#390	C₂³	1	1	yes	characteristic
731	#389	C₂³	1	1	yes	characteristic
732	#389	C₂³	1	1	yes	characteristic
733	#389	C₂³	1	1	yes	characteristic
734	#389	C₂³	1	2	yes	—
735	#389	C₂³	1	2	yes	—
736	#389	C₂³	1	1	yes	characteristic
737	#389	C₂³	1	1	yes	characteristic
738	#389	C₂³	1	2	yes	—
739	#389	C₂³	1	2	yes	—
740	#389	C₂³	1	2	yes	—
741	#389	C₂³	1	2	yes	—
742	#389	C₂³	1	2	yes	—
743	#389	C₂³	1	2	yes	—
744	#389	C₂³	1	2	yes	—
745	#389	C₂³	1	2	yes	—
746	#389	C₂³	1	1	yes	characteristic
747	#389	C₂³	1	1	yes	characteristic
748	#389	C₂³	1	2	yes	—
749	#389	C₂³	1	2	yes	—
750	#389	C₂³	1	1	yes	characteristic
751	#389	C₂³	1	2	yes	—
752	#389	C₂³	1	1	yes	characteristic
753	#389	C₂³	1	1	yes	characteristic
754	#389	C₂³	1	1	yes	characteristic
755	#389	C₂³	1	1	yes	characteristic
756	#389	C₂³	1	1	yes	characteristic
757	#389	C₂³	1	2	yes	—
758	#389	C₂³	1	2	yes	—
759	#389	C₂³	1	2	yes	—
760	#389	C₂³	1	1	yes	characteristic
761	#389	C₂³	1	1	yes	characteristic
762	#389	C₂³	1	2	yes	—
763	#389	C₂³	1	1	yes	characteristic
764	#389	C₂³	1	2	yes	—
765	#389	C₂³	1	1	yes	characteristic
766	#389	C₂³	1	1	yes	characteristic
767	#389	C₂³	1	2	yes	—
768	#389	C₂³	1	2	yes	—
769	#389	C₂³	1	2	yes	—
770	#389	C₂³	1	2	yes	—
771	#389	C₂³	1	2	yes	—
772	#389	C₂³	1	2	yes	—
773	#389	C₂³	1	2	yes	—
774	#389	C₂³	1	2	yes	—
775	#389	C₂³	1	2	yes	—
776	#389	C₂³	1	1	yes	characteristic
777	#389	C₂³	1	1	yes	characteristic
778	#389	C₂³	1	2	yes	—
779	#389	C₂³	1	2	yes	—
780	#389	C₂³	1	1	yes	characteristic
781	#389	C₂³	1	1	yes	characteristic
782	#389	C₂³	1	2	yes	—
783	#389	C₂³	1	2	yes	—
784	#389	C₂³	1	2	yes	—
785	#389	C₂³	1	1	yes	characteristic
786	#389	C₂³	1	1	yes	characteristic
787	#389	C₂³	1	2	yes	—
788	#389	C₂³	1	2	yes	—
789	#389	C₂³	1	2	yes	—
790	#389	C₂³	1	2	yes	—
791	#389	C₂³	1	2	yes	—
792	#389	C₂³	1	2	yes	—
793	#389	C₂³	1	2	yes	—
794	#389	C₂³	1	2	yes	—
795	#389	C₂³	1	2	yes	—
796	#389	C₂³	1	2	yes	—
797	#389	C₂³	1	2	yes	—
798	#389	C₂³	1	1	yes	characteristic
799	#389	C₂³	1	2	yes	—
800	#389	C₂³	1	1	yes	characteristic
801	#389	C₂³	1	1	yes	characteristic
802	#389	C₂³	1	1	yes	characteristic
803	#389	C₂³	1	1	yes	characteristic
804	#389	C₂³	1	1	yes	characteristic
805	#389	C₂³	1	1	yes	characteristic
806	#389	C₂³	1	1	yes	characteristic
807	#389	C₂³	1	2	yes	—
808	#389	C₂³	1	1	yes	characteristic
809	#389	C₂³	1	2	yes	—
810	#389	C₂³	1	2	yes	—
811	#389	C₂³	1	2	yes	—
812	#389	C₂³	1	2	yes	—
813	#389	C₂³	1	1	yes	characteristic
814	#389	C₂³	1	1	yes	characteristic
815	#389	C₂³	1	1	yes	characteristic
816	#389	C₂³	1	1	yes	characteristic
817	#389	C₂³	1	2	yes	—
818	#389	C₂³	1	1	yes	characteristic
819	#389	C₂³	1	1	yes	characteristic
820	#389	C₂³	1	1	yes	characteristic
821	#389	C₂³	1	1	yes	characteristic
822	#389	C₂³	1	1	yes	characteristic
823	#389	C₂³	1	1	yes	characteristic
824	#389	C₂³	1	1	yes	characteristic
825	#388	C₂³	1	2	yes	—
826	#388	C₂³	1	1	yes	characteristic
827	#388	C₂³	1	1	yes	characteristic
828	#388	C₂³	1	1	yes	characteristic
829	#388	C₂³	1	2	yes	—
830	#388	C₂³	1	1	yes	characteristic
831	#388	C₂³	1	1	yes	characteristic
832	#388	C₂³	1	1	yes	characteristic
833	#388	C₂³	1	2	yes	—
834	#388	C₂³	1	2	yes	—
835	#388	C₂³	1	2	yes	—
836	#388	C₂³	1	2	yes	—
837	#388	C₂³	1	1	yes	characteristic
838	#388	C₂³	1	1	yes	characteristic
839	#388	C₂³	1	2	yes	—
840	#388	C₂³	1	2	yes	—
841	#388	C₂³	1	2	yes	—
842	#388	C₂³	1	2	yes	—
843	#388	C₂³	1	2	yes	—
844	#388	C₂³	1	2	yes	—
845	#388	C₂³	1	1	yes	characteristic
846	#388	C₂³	1	1	yes	characteristic
847	#388	C₂³	1	2	yes	—
848	#388	C₂³	1	2	yes	—
849	#388	C₂³	1	2	yes	—
850	#388	C₂³	1	2	yes	—
851	#388	C₂³	1	2	yes	—
852	#388	C₂³	1	2	yes	—
853	#388	C₂³	1	2	yes	—
854	#388	C₂³	1	1	yes	characteristic
855	#388	C₂³	1	1	yes	characteristic
856	#388	C₂³	1	1	yes	characteristic
857	#388	C₂³	1	1	yes	characteristic
858	#388	C₂³	1	2	yes	—
859	#388	C₂³	1	2	yes	—
860	#388	C₂³	1	2	yes	—
861	#388	C₂³	1	2	yes	—
862	#388	C₂³	1	2	yes	—
863	#388	C₂³	1	2	yes	—
864	#388	C₂³	1	2	yes	—
865	#388	C₂³	1	2	yes	—
866	#388	C₂³	1	2	yes	—
867	#388	C₂³	1	2	yes	—
868	#388	C₂³	1	1	yes	characteristic
869	#388	C₂³	1	1	yes	characteristic
870	#388	C₂³	1	2	yes	—
871	#388	C₂³	1	2	yes	—
872	#388	C₂³	1	2	yes	—
873	#388	C₂³	1	2	yes	—
874	#388	C₂³	1	2	yes	—
875	#388	C₂³	1	2	yes	—
876	#388	C₂³	1	2	yes	—
877	#388	C₂³	1	2	yes	—
878	#388	C₂³	1	2	yes	—
879	#388	C₂³	1	2	yes	—
880	#388	C₂³	1	2	yes	—
881	#388	C₂³	1	2	yes	—
882	#388	C₂³	1	2	yes	—
883	#388	C₂³	1	2	yes	—
884	#388	C₂³	1	2	yes	—
885	#388	C₂³	1	2	yes	—
886	#387	C₂³	1	1	yes	characteristic
887	#387	C₂³	1	1	yes	characteristic
888	#387	C₂³	1	2	yes	—
889	#387	C₂³	1	1	yes	characteristic
890	#387	C₂³	1	1	yes	characteristic
891	#387	C₂³	1	1	yes	characteristic
892	#387	C₂³	1	1	yes	characteristic
893	#387	C₂³	1	2	yes	—
894	#387	C₂³	1	2	yes	—
895	#387	C₂³	1	1	yes	characteristic
896	#387	C₂³	1	1	yes	characteristic
897	#387	C₂³	1	1	yes	characteristic
898	#387	C₂³	1	1	yes	characteristic
899	#387	C₂³	1	1	yes	characteristic
900	#387	C₂³	1	2	yes	—
901	#387	C₂³	1	2	yes	—
902	#387	C₂³	1	1	yes	characteristic
903	#387	C₂³	1	2	yes	—
904	#387	C₂³	1	2	yes	—
905	#387	C₂³	1	2	yes	—
906	#387	C₂³	1	2	yes	—
907	#387	C₂³	1	2	yes	—
908	#387	C₂³	1	2	yes	—
909	#387	C₂³	1	2	yes	—
910	#387	C₂³	1	2	yes	—
911	#387	C₂³	1	1	yes	characteristic
912	#387	C₂³	1	1	yes	characteristic
913	#387	C₂³	1	2	yes	—
914	#387	C₂³	1	2	yes	—
915	#387	C₂³	1	2	yes	—
916	#387	C₂³	1	2	yes	—
917	#387	C₂³	1	2	yes	—
918	#387	C₂³	1	2	yes	—
919	#387	C₂³	1	2	yes	—
920	#387	C₂³	1	2	yes	—
921	#387	C₂³	1	2	yes	—
922	#387	C₂³	1	2	yes	—
923	#387	C₂³	1	2	yes	—
924	#387	C₂³	1	2	yes	—
925	#387	C₂³	1	2	yes	—
926	#387	C₂³	1	2	yes	—
927	#387	C₂³	1	2	yes	—
928	#387	C₂³	1	2	yes	—
929	#387	C₂³	1	1	yes	characteristic
930	#387	C₂³	1	1	yes	characteristic
931	#387	C₂³	1	1	yes	characteristic
932	#387	C₂³	1	1	yes	characteristic
933	#387	C₂³	1	2	yes	—
934	#387	C₂³	1	2	yes	—
935	#387	C₂³	1	2	yes	—
936	#387	C₂³	1	2	yes	—
937	#387	C₂³	1	2	yes	—
938	#387	C₂³	1	2	yes	—
939	#387	C₂³	1	2	yes	—
940	#387	C₂³	1	2	yes	—
941	#387	C₂³	1	2	yes	—
942	#387	C₂³	1	1	yes	characteristic
943	#387	C₂³	1	1	yes	characteristic
944	#387	C₂³	1	2	yes	—
945	#387	C₂³	1	2	yes	—
946	#387	C₂³	1	2	yes	—
947	#387	C₂³	1	2	yes	—
948	#387	C₂³	1	2	yes	—
949	#387	C₂³	1	2	yes	—
950	#387	C₂³	1	2	yes	—
951	#387	C₂³	1	2	yes	—
952	#387	C₂³	1	2	yes	—
953	#387	C₂³	1	2	yes	—
954	#387	C₂³	1	2	yes	—
955	#387	C₂³	1	2	yes	—
956	#387	C₂³	1	2	yes	—
957	#387	C₂³	1	2	yes	—
958	#387	C₂³	1	2	yes	—
959	#387	C₂³	1	2	yes	—
960	#387	C₂³	1	2	yes	—
961	#387	C₂³	1	2	yes	—
962	#387	C₂³	1	2	yes	—
963	#387	C₂³	1	2	yes	—
964	#387	C₂³	1	2	yes	—
965	#387	C₂³	1	2	yes	—
966	#387	C₂³	1	2	yes	—
967	#387	C₂³	1	1	yes	characteristic
968	#387	C₂³	1	1	yes	characteristic
969	#387	C₂³	1	2	yes	—
970	#387	C₂³	1	2	yes	—
971	#387	C₂³	1	2	yes	—
972	#387	C₂³	1	2	yes	—
973	#387	C₂³	1	2	yes	—
974	#387	C₂³	1	2	yes	—
975	#387	C₂³	1	2	yes	—
976	#387	C₂³	1	2	yes	—
977	#387	C₂³	1	2	yes	—
978	#387	C₂³	1	2	yes	—
979	#387	C₂³	1	2	yes	—
980	#387	C₂³	1	2	yes	—
981	#387	C₂³	1	2	yes	—
982	#387	C₂³	1	2	yes	—
983	#387	C₂³	1	2	yes	—
984	#387	C₂³	1	2	yes	—
985	#387	C₂³	1	2	yes	—
986	#387	C₂³	1	2	yes	—
987	#387	C₂³	1	2	yes	—
988	#387	C₂³	1	1	yes	characteristic
989	#387	C₂³	1	1	yes	characteristic
990	#387	C₂³	1	2	yes	—
991	#387	C₂³	1	2	yes	—
992	#387	C₂³	1	2	yes	—
993	#387	C₂³	1	2	yes	—
994	#387	C₂³	1	2	yes	—
995	#387	C₂³	1	2	yes	—
996	#387	C₂³	1	2	yes	—
997	#387	C₂³	1	2	yes	—
998	#387	C₂³	1	1	yes	characteristic
999	#387	C₂³	1	1	yes	characteristic
1000	#387	C₂³	1	2	yes	—
1001	#387	C₂³	1	2	yes	—
1002	#387	C₂³	1	1	yes	characteristic
1003	#387	C₂³	1	2	yes	—
1004	#387	C₂³	1	2	yes	—
1005	#387	C₂³	1	2	yes	—
1006	#387	C₂³	1	2	yes	—
1007	#387	C₂³	1	2	yes	—
1008	#387	C₂³	1	2	yes	—
1009	#387	C₂³	1	2	yes	—
1010	#387	C₂³	1	2	yes	—
1011	#387	C₂³	1	2	yes	—
1012	#387	C₂³	1	1	yes	characteristic
1013	#387	C₂³	1	2	yes	—
1014	#387	C₂³	1	2	yes	—
1015	#387	C₂³	1	2	yes	—
1016	#387	C₂³	1	2	yes	—
1017	#387	C₂³	1	2	yes	—
1018	#387	C₂³	1	2	yes	—
1019	#387	C₂³	1	2	yes	—
1020	#387	C₂³	1	2	yes	—
1021	#387	C₂³	1	2	yes	—
1022	#387	C₂³	1	2	yes	—
1023	#387	C₂³	1	2	yes	—
1024	#387	C₂³	1	2	yes	—
1025	#387	C₂³	1	2	yes	—
1026	#387	C₂³	1	2	yes	—
1027	#387	C₂³	1	2	yes	—
1028	#387	C₂³	1	2	yes	—
1029	#387	C₂³	1	2	yes	—
1030	#387	C₂³	1	2	yes	—
1031	#387	C₂³	1	2	yes	—
1032	#387	C₂³	1	2	yes	—
1033	#387	C₂³	1	2	yes	—
1034	#387	C₂³	1	2	yes	—
1035	#387	C₂³	1	2	yes	—
1036	#387	C₂³	1	2	yes	—
1037	#386	C₂³	1	1	yes	characteristic
1038	#386	C₂³	1	1	yes	characteristic
1039	#386	C₂³	1	1	yes	characteristic
1040	#386	C₂³	1	1	yes	characteristic
1041	#386	C₂³	1	1	yes	characteristic
1042	#386	C₂³	1	2	yes	—
1043	#386	C₂³	1	1	yes	characteristic
1044	#386	C₂³	1	2	yes	—
1045	#386	C₂³	1	2	yes	—
1046	#385	C₂³	1	2	yes	—
1047	#385	C₂³	1	2	yes	—
1048	#385	C₂³	1	1	yes	characteristic
1049	#385	C₂³	1	1	yes	characteristic
1050	#385	C₂³	1	1	yes	characteristic
1051	#385	C₂³	1	1	yes	characteristic
1052	#385	C₂³	1	2	yes	—
1053	#385	C₂³	1	2	yes	—
1054	#385	C₂³	1	2	yes	—
1055	#385	C₂³	1	2	yes	—
1056	#385	C₂³	1	2	yes	—
1057	#385	C₂³	1	2	yes	—
1058	#385	C₂³	1	1	yes	characteristic
1059	#385	C₂³	1	1	yes	characteristic
1060	#385	C₂³	1	1	yes	characteristic
1061	#385	C₂³	1	1	yes	characteristic
1062	#385	C₂³	1	1	yes	characteristic
1063	#385	C₂³	1	1	yes	characteristic
1064	#385	C₂³	1	2	yes	—
1065	#385	C₂³	1	2	yes	—
1066	#385	C₂³	1	2	yes	—
1067	#385	C₂³	1	2	yes	—
1068	#385	C₂³	1	2	yes	—
1069	#385	C₂³	1	2	yes	—
1070	#385	C₂³	1	2	yes	—
1071	#385	C₂³	1	2	yes	—
1072	#385	C₂³	1	2	yes	—
1073	#385	C₂³	1	2	yes	—
1074	#385	C₂³	1	2	yes	—
1075	#385	C₂³	1	2	yes	—
1076	#385	C₂³	1	2	yes	—
1077	#385	C₂³	1	2	yes	—
1078	#385	C₂³	1	2	yes	—
1079	#384	C₂³	1	1	yes	characteristic
1080	#384	C₂³	1	2	yes	—
1081	#384	C₂³	1	1	yes	characteristic
1082	#384	C₂³	1	1	yes	characteristic
1083	#384	C₂³	1	2	yes	—
1084	#384	C₂³	1	1	yes	characteristic
1085	#384	C₂³	1	1	yes	characteristic
1086	#384	C₂³	1	1	yes	characteristic
1087	#383	C₂³	1	1	yes	characteristic
1088	#383	C₂³	1	1	yes	characteristic
1089	#383	C₂³	1	2	yes	—
1090	#383	C₂³	1	2	yes	—
1091	#383	C₂³	1	2	yes	—
1092	#383	C₂³	1	2	yes	—
1093	#383	C₂³	1	2	yes	—
1094	#383	C₂³	1	2	yes	—
1095	#383	C₂³	1	2	yes	—
1096	#383	C₂³	1	2	yes	—
1097	#383	C₂³	1	2	yes	—
1098	#383	C₂³	1	2	yes	—
1099	#383	C₂³	1	2	yes	—
1100	#383	C₂³	1	2	yes	—
1101	#383	C₂³	1	2	yes	—
1102	#382	C₂³	1	2	yes	—
1103	#382	C₂³	1	2	yes	—
1104	#382	C₂³	1	1	yes	characteristic
1105	#382	C₂³	1	1	yes	characteristic
1106	#382	C₂³	1	1	yes	characteristic
1107	#382	C₂³	1	1	yes	characteristic
1108	#382	C₂³	1	2	yes	—
1109	#382	C₂³	1	2	yes	—
1110	#382	C₂³	1	1	yes	characteristic
1111	#382	C₂³	1	2	yes	—
1112	#382	C₂³	1	2	yes	—
1113	#382	C₂³	1	2	yes	—
1114	#382	C₂³	1	1	yes	characteristic
1115	#382	C₂³	1	1	yes	characteristic
1116	#382	C₂³	1	1	yes	characteristic
1117	#382	C₂³	1	2	yes	—
1118	#382	C₂³	1	1	yes	characteristic
1119	#382	C₂³	1	2	yes	—
1120	#382	C₂³	1	2	yes	—
1121	#382	C₂³	1	1	yes	characteristic
1122	#382	C₂³	1	2	yes	—
1123	#382	C₂³	1	2	yes	—
1124	#382	C₂³	1	2	yes	—
1125	#382	C₂³	1	2	yes	—
1126	#382	C₂³	1	2	yes	—
1127	#382	C₂³	1	2	yes	—
1128	#382	C₂³	1	2	yes	—
1129	#381	C₂³	1	1	yes	characteristic
1130	#381	C₂³	1	1	yes	characteristic
1131	#381	C₂³	1	1	yes	characteristic
1132	#381	C₂³	1	1	yes	characteristic
1133	#381	C₂³	1	2	yes	—
1134	#381	C₂³	1	2	yes	—
1135	#381	C₂³	1	2	yes	—
1136	#381	C₂³	1	2	yes	—
1137	#381	C₂³	1	2	yes	—
1138	#380	C₂³	1	1	yes	characteristic
1139	#380	C₂³	1	1	yes	characteristic
1140	#380	C₂³	1	1	yes	characteristic
1141	#380	C₂³	1	1	yes	characteristic
1142	#380	C₂³	1	2	yes	—
1143	#380	C₂³	1	1	yes	characteristic
1144	#380	C₂³	1	1	yes	characteristic
1145	#380	C₂³	1	1	yes	characteristic
1146	#380	C₂³	1	1	yes	characteristic
1147	#380	C₂³	1	1	yes	characteristic
1148	#380	C₂³	1	2	yes	—
1149	#380	C₂³	1	1	yes	characteristic
1150	#380	C₂³	1	2	yes	—
1151	#380	C₂³	1	1	yes	characteristic
1152	#380	C₂³	1	1	yes	characteristic
1153	#380	C₂³	1	2	yes	—
1154	#380	C₂³	1	2	yes	—
1155	#380	C₂³	1	1	yes	characteristic
1156	#380	C₂³	1	1	yes	characteristic
1157	#380	C₂³	1	2	yes	—
1158	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1159	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1160	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1161	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1162	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1163	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1164	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1165	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1166	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1167	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1168	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1169	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1170	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1171	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1172	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1173	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1174	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1175	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1176	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1177	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1178	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1179	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1180	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1181	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1182	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1183	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1184	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1185	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1186	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1187	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1188	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1189	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1190	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1191	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1192	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1193	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1194	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1195	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1196	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1197	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1198	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1199	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1200	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1201	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1202	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1203	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1204	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1205	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1206	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1207	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1208	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1209	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1210	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1211	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1212	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1213	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1214	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1215	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1216	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1217	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1218	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1219	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1220	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1221	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1222	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1223	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1224	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1225	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1226	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1227	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1228	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1229	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
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	2	yes	—
1234	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1235	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1236	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1237	C₄×C₄⋊C₄	C₂³	1	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	1	yes	characteristic
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	1	yes	characteristic
1246	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1247	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1248	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1249	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1250	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
1251	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
1252	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
1253	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
1254	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
1255	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
1256	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
1257	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
1258	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
1259	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
1260	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
1261	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
1262	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
1263	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
1264	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
1265	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
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	2	yes	—
1272	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
1273	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
1274	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
1275	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
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	2	yes	—
1280	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
1281	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
1282	#376	C₂³	1	2	yes	—
1283	#376	C₂³	1	2	yes	—
1284	#376	C₂³	1	2	yes	—
1285	#376	C₂³	1	2	yes	—
1286	#376	C₂³	1	2	yes	—
1287	#376	C₂³	1	2	yes	—
1288	#376	C₂³	1	2	yes	—
1289	#376	C₂³	1	2	yes	—
1290	#376	C₂³	1	2	yes	—
1291	#376	C₂³	1	2	yes	—
1292	C₂×#95	C₂³	1	1	yes	characteristic
1293	C₂×#95	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	C₄³	C₂³	1	2	yes	—
1298	C₄³	C₂³	1	2	yes	—
1299	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
1300	C₂²×Q₈	C₂⁴	1	2	yes	—
1301	C₂²×Q₈	C₂⁴	1	2	yes	—
1302	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
1303	C₂²×Q₈	C₂⁴	1	2	yes	—
1304	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
1305	C₂²×D₄	C₂⁴	1	1	yes	characteristic
1306	C₂²×D₄	C₂⁴	1	1	yes	characteristic
1307	C₂²×D₄	C₂⁴	1	1	yes	characteristic
1308	C₂³×C₄	C₂⁴	1	1	yes	characteristic
1309	C₂³×C₄	C₂⁴	1	1	yes	characteristic
1310	C₂³×C₄	C₂⁴	1	1	yes	characteristic
1311	C₂³×C₄	C₂⁴	1	2	yes	—
1312	C₂³×C₄	C₂⁴	1	2	yes	—
1313	C₂³×C₄	C₂⁴	1	1	yes	characteristic
1314	C₂³×C₄	C₂⁴	1	1	yes	characteristic
1315	C₂³×C₄	C₂⁴	1	1	yes	characteristic
1316	C₂³×C₄	C₂⁴	1	1	yes	characteristic
1317	C₂³×C₄	C₂⁴	1	1	yes	characteristic
1318	C₂³×C₄	C₂⁴	1	1	yes	characteristic
1319	C₂³×C₄	C₂⁴	1	1	yes	characteristic
1320	C₂³×C₄	C₂⁴	1	1	yes	characteristic
1321	C₂³×C₄	C₂⁴	1	1	yes	characteristic
1322	C₂³×C₄	C₂⁴	1	1	yes	characteristic
1323	C₄⋊Q₈	—	2	4	no	—
1324	C₄⋊Q₈	—	2	8	no	—
1325	C₄⋊Q₈	—	2	4	no	—
1326	C₄⋊Q₈	—	2	8	no	—
1327	C₄⋊Q₈	—	2	4	no	—
1328	C₄⋊Q₈	—	4	2	no	—
1329	#126	—	2	4	no	—
1330	#126	—	2	8	no	—
1331	#126	—	2	4	no	—
1332	#126	—	2	8	no	—
1333	#126	—	2	8	no	—
1334	#125	—	2	8	no	—
1335	#125	—	2	8	no	—
1336	#125	—	2	8	no	—
1337	#125	—	2	4	no	—
1338	#125	—	2	4	no	—
1339	#125	—	2	8	no	—
1340	#125	—	2	4	no	—
1341	#125	—	2	4	no	—
1342	#125	—	4	4	no	—
1343	#125	—	4	4	no	—
1344	#124	—	2	8	no	—
1345	#123	—	2	4	no	—
1346	#123	—	2	4	no	—
1347	#123	—	2	4	no	—
1348	#123	—	2	4	no	—
1349	#123	—	2	8	no	—
1350	C₂²⋊Q₈	—	2	4	no	—
1351	C₂²⋊Q₈	—	2	4	no	—
1352	C₂²⋊Q₈	—	2	4	no	—
1353	C₂²⋊Q₈	—	2	4	no	—
1354	C₂²⋊Q₈	—	2	4	no	—
1355	C₂²⋊Q₈	—	2	8	no	—
1356	C₂²⋊Q₈	—	2	4	no	—
1357	C₂²⋊Q₈	—	2	8	no	—
1358	C₂²⋊Q₈	—	2	8	no	—
1359	C₂²⋊Q₈	—	2	8	no	—
1360	C₂²⋊Q₈	—	4	2	no	—
1361	C₂²⋊Q₈	#41	1	8	yes	—
1362	C₂²⋊Q₈	#41	1	8	yes	—
1363	#121	—	2	4	no	—
1364	C₄×Q₈	—	2	4	no	—
1365	C₄×Q₈	—	2	8	no	—
1366	C₄×Q₈	—	2	4	no	—
1367	C₄×Q₈	—	2	4	no	—
1368	C₄×Q₈	—	2	4	no	—
1369	C₄×Q₈	—	2	8	no	—
1370	C₄×Q₈	—	2	8	no	—
1371	C₄×Q₈	—	2	8	no	—
1372	C₄×Q₈	—	2	8	no	—
1373	C₄×Q₈	—	2	8	no	—
1374	C₄×Q₈	—	2	4	no	—
1375	C₄×Q₈	—	4	2	no	—
1376	C₄×Q₈	—	4	4	no	—
1377	C₄×Q₈	—	4	4	no	—
1378	C₄×Q₈	—	4	2	no	—
1379	C₄×Q₈	—	4	2	no	—
1380	C₄×Q₈	—	4	2	no	—
1381	C₄×Q₈	—	4	2	no	—
1382	C₄×Q₈	—	4	2	no	—
1383	C₄×D₄	—	2	4	no	—
1384	C₄×D₄	—	2	4	no	—
1385	C₄×D₄	—	2	4	no	—
1386	C₄×D₄	—	2	4	no	—
1387	C₄×D₄	—	4	2	no	—
1388	C₄×D₄	—	4	2	no	—
1389	C₄×D₄	—	4	2	no	—
1390	#117	—	2	4	no	—
1391	#117	—	2	4	no	—
1392	#117	—	2	8	no	—
1393	#117	—	2	4	no	—
1394	#117	—	2	4	no	—
1395	#117	—	2	8	no	—
1396	#117	—	2	8	no	—
1397	#117	—	2	8	no	—
1398	#117	—	4	4	no	—
1399	#117	—	4	4	no	—
1400	#117	—	4	2	no	—
1401	#117	—	4	2	no	—
1402	C₂×C₄⋊C₄	—	2	4	no	—
1403	C₂×C₄⋊C₄	—	2	4	no	—
1404	C₂×C₄⋊C₄	—	2	4	no	—
1405	C₂×C₄⋊C₄	—	4	2	no	—
1406	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1407	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1408	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1409	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1410	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1411	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1412	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1413	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1414	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1415	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1416	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1417	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1418	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1419	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1420	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1421	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1422	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1423	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1424	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1425	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1426	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1427	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
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	1	yes	characteristic
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	2	yes	—
1437	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1438	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1439	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1440	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
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	2	yes	—
1445	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1446	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1447	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1448	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1449	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1450	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1451	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1452	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1453	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
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	1	yes	characteristic
1460	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1461	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1462	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1463	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1464	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1465	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1466	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1467	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1468	C₂×C₄⋊C₄	C₂⁴	1	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	1	yes	characteristic
1474	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1475	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1476	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1477	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1478	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1479	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1480	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1481	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1482	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1483	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1484	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1485	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1486	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1487	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1488	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1489	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1490	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1491	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1492	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1493	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1494	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1495	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1496	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
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	2	yes	—
1502	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1503	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1504	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
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	1	yes	characteristic
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	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	1	yes	characteristic
1524	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
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	1	yes	characteristic
1529	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1530	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1531	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1532	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1533	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1534	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1535	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1536	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1537	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1538	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1539	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1540	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1541	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1542	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1543	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1544	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1545	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1546	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1547	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1548	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
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	2	yes	—
1553	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1554	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1555	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
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	1	yes	characteristic
1560	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1561	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1562	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1563	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1564	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1565	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1566	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1567	C₂×C₂²⋊C₄	C₂⁴	1	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	2	yes	—
1571	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1572	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1573	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1574	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1575	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1576	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1577	C₂×C₄²	—	2	4	no	—
1578	C₂×C₄²	—	2	8	no	—
1579	C₂×C₄²	—	4	2	no	—
1580	C₂×C₄²	—	4	2	no	—
1581	C₂×C₄²	—	4	2	no	—
1582	C₂×C₄²	—	4	2	no	—
1583	C₂×C₄²	C₂⁴	1	2	yes	—
1584	C₂×C₄²	C₂⁴	1	2	yes	—
1585	C₂×C₄²	C₂⁴	1	2	yes	—
1586	C₂×C₄²	C₂⁴	1	2	yes	—
1587	C₂×C₄²	C₂⁴	1	2	yes	—
1588	C₂×C₄²	C₂⁴	1	2	yes	—
1589	C₂×C₄²	C₂⁴	1	2	yes	—
1590	C₂×C₄²	C₂⁴	1	2	yes	—
1591	C₂×C₄²	C₂⁴	1	2	yes	—
1592	C₂×C₄²	C₂⁴	1	2	yes	—
1593	C₂×C₄²	C₂⁴	1	2	yes	—
1594	C₂×C₄²	C₂⁴	1	2	yes	—
1595	C₂×C₄²	C₂⁴	1	2	yes	—
1596	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1597	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1598	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1599	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1600	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1601	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1602	C₂×C₄²	C₂⁴	1	2	yes	—
1603	C₂×C₄²	C₂⁴	1	2	yes	—
1604	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1605	C₂×C₄²	C₂⁴	1	2	yes	—
1606	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1607	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1608	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1609	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1610	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1611	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1612	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1613	C₂×C₄²	C₂⁴	1	2	yes	—
1614	C₂×C₄²	C₂⁴	1	2	yes	—
1615	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1616	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1617	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1618	C₂×C₄²	C₂⁴	1	2	yes	—
1619	C₂×C₄²	C₂⁴	1	2	yes	—
1620	C₂×C₄²	C₂⁴	1	2	yes	—
1621	C₂×C₄²	C₂⁴	1	2	yes	—
1622	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1623	C₂×C₄²	C₂⁴	1	2	yes	—
1624	C₂×C₄²	C₂⁴	1	2	yes	—
1625	C₂×C₄²	C₂⁴	1	2	yes	—
1626	C₂×C₄²	C₂⁴	1	2	yes	—
1627	C₂×C₄²	C₂⁴	1	2	yes	—
1628	C₂×C₄²	C₂⁴	1	2	yes	—
1629	C₂×C₄²	C₂⁴	1	2	yes	—
1630	C₂×C₄²	C₂⁴	1	2	yes	—
1631	C₂×C₄²	C₂⁴	1	2	yes	—
1632	C₂×C₄²	C₂⁴	1	1	yes	characteristic
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	1	yes	characteristic
1638	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1639	C₂×C₄²	C₂⁴	1	2	yes	—
1640	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1641	C₂×C₄²	C₂⁴	1	1	yes	characteristic
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	1	yes	characteristic
1646	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1647	#95	C₂⁴	1	1	yes	characteristic
1648	#95	C₂⁴	1	1	yes	characteristic
1649	#95	C₂⁴	1	2	yes	—
1650	#95	C₂⁴	1	1	yes	characteristic
1651	#95	C₂⁴	1	1	yes	characteristic
1652	#95	C₂⁴	1	1	yes	characteristic
1653	#95	C₂⁴	1	1	yes	characteristic
1654	#95	C₂⁴	1	1	yes	characteristic
1655	#95	C₂⁴	1	2	yes	—
1656	#95	C₂⁴	1	2	yes	—
1657	#95	C₂⁴	1	1	yes	characteristic
1658	#95	C₂⁴	1	2	yes	—
1659	#95	C₂⁴	1	2	yes	—
1660	#95	C₂⁴	1	2	yes	—
1661	#95	C₂⁴	1	2	yes	—
1662	#95	C₂⁴	1	2	yes	—
1663	#95	C₂⁴	1	1	yes	characteristic
1664	#95	C₂⁴	1	1	yes	characteristic
1665	#95	C₂⁴	1	1	yes	characteristic
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	2	yes	—
1671	#95	C₂⁴	1	2	yes	—
1672	#95	C₂⁴	1	2	yes	—
1673	#95	C₂⁴	1	2	yes	—
1674	#95	C₂⁴	1	2	yes	—
1675	#95	C₂⁴	1	2	yes	—
1676	#95	C₂⁴	1	2	yes	—
1677	#95	C₂⁴	1	2	yes	—
1678	#95	C₂⁴	1	2	yes	—
1679	#95	C₂⁴	1	2	yes	—
1680	#95	C₂⁴	1	2	yes	—
1681	#95	C₂⁴	1	2	yes	—
1682	#95	C₂⁴	1	2	yes	—
1683	#95	C₂⁴	1	2	yes	—
1684	#95	C₂⁴	1	2	yes	—
1685	#95	C₂⁴	1	2	yes	—
1686	#95	C₂⁴	1	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	1	yes	characteristic
1693	#95	C₂⁴	1	1	yes	characteristic
1694	#95	C₂⁴	1	1	yes	characteristic
1695	#95	C₂⁴	1	2	yes	—
1696	#95	C₂⁴	1	1	yes	characteristic
1697	#95	C₂⁴	1	2	yes	—
1698	#95	C₂⁴	1	2	yes	—
1699	#95	C₂⁴	1	1	yes	characteristic
1700	#95	C₂⁴	1	2	yes	—
1701	#95	C₂⁴	1	1	yes	characteristic
1702	#95	C₂⁴	1	1	yes	characteristic
1703	#95	C₂⁴	1	2	yes	—
1704	#95	C₂⁴	1	2	yes	—
1705	#95	C₂⁴	1	2	yes	—
1706	#95	C₂⁴	1	2	yes	—
1707	#95	C₂⁴	1	1	yes	characteristic
1708	#95	C₂⁴	1	2	yes	—
1709	#95	C₂⁴	1	1	yes	characteristic
1710	#95	C₂⁴	1	1	yes	characteristic
1711	#95	C₂⁴	1	1	yes	characteristic
1712	#95	C₂⁴	1	1	yes	characteristic
1713	#95	C₂⁴	1	2	yes	—
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	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	2	yes	—
1723	#95	C₂⁴	1	2	yes	—
1724	#95	C₂⁴	1	2	yes	—
1725	#95	C₂⁴	1	2	yes	—
1726	#95	C₂⁴	1	1	yes	characteristic
1727	#95	C₂⁴	1	1	yes	characteristic
1728	#95	C₂⁴	1	1	yes	characteristic
1729	#95	C₂⁴	1	1	yes	characteristic
1730	#95	C₂⁴	1	1	yes	characteristic
1731	#95	C₂⁴	1	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	2	yes	—
1736	#95	C₂⁴	1	2	yes	—
1737	#95	C₂⁴	1	2	yes	—
1738	#95	C₂⁴	1	2	yes	—
1739	#95	C₂⁴	1	2	yes	—
1740	#95	C₂⁴	1	1	yes	characteristic
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	2	yes	—
1746	#95	C₂⁴	1	2	yes	—
1747	#95	C₂⁴	1	2	yes	—
1748	#95	C₂⁴	1	2	yes	—
1749	#95	C₂⁴	1	2	yes	—
1750	#95	C₂⁴	1	2	yes	—
1751	#95	C₂⁴	1	2	yes	—
1752	#95	C₂⁴	1	1	yes	characteristic
1753	#95	C₂⁴	1	1	yes	characteristic
1754	#95	C₂⁴	1	2	yes	—
1755	#95	C₂⁴	1	2	yes	—
1756	#95	C₂⁴	1	1	yes	characteristic
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	2	yes	—
1764	#95	C₂⁴	1	1	yes	characteristic
1765	#95	C₂⁴	1	2	yes	—
1766	#95	C₂⁴	1	1	yes	characteristic
1767	#95	C₂⁴	1	2	yes	—
1768	#95	C₂⁴	1	2	yes	—
1769	#95	C₂⁴	1	2	yes	—
1770	#95	C₂⁴	1	2	yes	—
1771	#95	C₂⁴	1	2	yes	—
1772	#95	C₂⁴	1	2	yes	—
1773	#95	C₂⁴	1	2	yes	—
1774	#95	C₂⁴	1	2	yes	—
1775	#95	C₂⁴	1	1	yes	characteristic
1776	#95	C₂⁴	1	1	yes	characteristic
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	1	yes	characteristic
1783	#95	C₂⁴	1	2	yes	—
1784	#95	C₂⁴	1	2	yes	—
1785	#95	C₂⁴	1	2	yes	—
1786	#95	C₂⁴	1	2	yes	—
1787	#95	C₂⁴	1	2	yes	—
1788	#95	C₂⁴	1	2	yes	—
1789	#95	C₂⁴	1	2	yes	—
1790	#95	C₂⁴	1	2	yes	—
1791	#95	C₂⁴	1	2	yes	—
1792	#95	C₂⁴	1	2	yes	—
1793	#95	C₂⁴	1	2	yes	—
1794	#95	C₂⁴	1	2	yes	—
1795	#95	C₂⁴	1	2	yes	—
1796	#95	C₂⁴	1	2	yes	—
1797	#95	C₂⁴	1	2	yes	—
1798	#95	C₂⁴	1	2	yes	—
1799	C₂⁴	C₂⁵	1	1	yes	characteristic
1800	C₂⁴	C₂⁵	1	1	yes	characteristic
1801	C₂⁴	C₂⁵	1	1	yes	characteristic
1802	C₂×Q₈	—	2	4	no	—
1803	C₂×Q₈	—	2	4	no	—
1804	C₂×Q₈	—	2	4	no	—
1805	C₂×Q₈	—	2	2	no	—
1806	C₂×Q₈	—	2	4	no	—
1807	C₂×Q₈	—	2	4	no	—
1808	C₂×Q₈	—	2	2	no	—
1809	C₂×Q₈	—	2	2	no	—
1810	C₂×Q₈	—	2	2	no	—
1811	C₂×Q₈	—	2	2	no	—
1812	C₂×Q₈	—	4	1	no	—
1813	C₂×Q₈	—	4	2	no	—
1814	C₂×Q₈	—	4	2	no	—
1815	C₂×Q₈	—	4	1	no	—
1816	C₂×Q₈	—	4	2	no	—
1817	C₂×Q₈	—	4	2	no	—
1818	C₂×Q₈	C₂×#41	1	4	yes	—
1819	C₂×Q₈	C₂×#41	1	4	yes	—
1820	C₂×D₄	—	2	2	no	—
1821	C₂×D₄	—	2	2	no	—
1822	C₂×D₄	—	2	2	no	—
1823	C₂×D₄	—	2	2	no	—
1824	C₂×D₄	—	2	2	no	—
1825	C₂×D₄	—	4	1	no	—
1826	C₂×D₄	—	4	1	no	—
1827	C₂×D₄	—	4	1	no	—
1828	C₂×D₄	—	4	1	no	—
1829	C₂²×C₄	—	2	2	no	—
1830	C₂²×C₄	—	2	2	no	—
1831	C₂²×C₄	—	2	4	no	—
1832	C₂²×C₄	—	2	2	no	—
1833	C₂²×C₄	—	2	2	no	—
1834	C₂²×C₄	—	2	4	no	—
1835	C₂²×C₄	—	2	4	no	—
1836	C₂²×C₄	—	2	2	no	—
1837	C₂²×C₄	—	2	2	no	—
1838	C₂²×C₄	—	2	2	no	—
1839	C₂²×C₄	—	2	4	no	—
1840	C₂²×C₄	—	2	2	no	—
1841	C₂²×C₄	—	2	2	no	—
1842	C₂²×C₄	—	2	2	no	—
1843	C₂²×C₄	—	2	2	no	—
1844	C₂²×C₄	—	2	2	no	—
1845	C₂²×C₄	—	2	2	no	—
1846	C₂²×C₄	—	2	2	no	—
1847	C₂²×C₄	—	2	2	no	—
1848	C₂²×C₄	—	2	2	no	—
1849	C₂²×C₄	—	4	1	no	—
1850	C₂²×C₄	—	4	1	no	—
1851	C₂²×C₄	—	4	1	no	—
1852	C₂²×C₄	—	4	2	no	—
1853	C₂²×C₄	—	4	1	no	—
1854	C₂²×C₄	—	4	1	no	—
1855	C₂²×C₄	—	4	2	no	—
1856	C₂²×C₄	—	4	1	no	—
1857	C₂²×C₄	—	4	1	no	—
1858	C₂²×C₄	—	4	1	no	—
1859	C₂²×C₄	—	4	1	no	—
1860	C₂²×C₄	—	4	1	no	—
1861	C₂²×C₄	—	4	1	no	—
1862	C₂²×C₄	—	4	1	no	—
1863	C₂²×C₄	—	4	1	no	—
1864	C₂²×C₄	—	4	1	no	—
1865	C₂²×C₄	—	4	1	no	—
1866	C₂²×C₄	—	4	1	no	—
1867	C₂²×C₄	—	4	1	no	—
1868	C₂²×C₄	—	4	1	no	—
1869	C₂²×C₄	—	4	1	no	—
1870	C₂²×C₄	—	4	1	no	—
1871	C₂²×C₄	—	4	1	no	—
1872	C₂²×C₄	C₂×#41	1	4	yes	—
1873	C₂²×C₄	C₂×#41	1	4	yes	—
1874	C₂²×C₄	C₂⁵	1	2	yes	—
1875	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1876	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1877	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1878	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1879	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1880	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1881	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1882	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1883	C₂²×C₄	C₂⁵	1	2	yes	—
1884	C₂²×C₄	C₂⁵	1	2	yes	—
1885	C₂²×C₄	C₂⁵	1	2	yes	—
1886	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1887	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1888	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1889	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1890	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1891	C₂²×C₄	C₂⁵	1	2	yes	—
1892	C₂²×C₄	C₂⁵	1	2	yes	—
1893	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1894	C₂²×C₄	C₂⁵	1	2	yes	—
1895	C₂²×C₄	C₂⁵	1	2	yes	—
1896	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1897	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1898	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1899	C₂²×C₄	C₂⁵	1	2	yes	—
1900	C₂²×C₄	C₂⁵	1	2	yes	—
1901	C₂²×C₄	C₂⁵	1	2	yes	—
1902	C₂²×C₄	C₂⁵	1	2	yes	—
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	1	yes	characteristic
1907	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1908	C₂²×C₄	C₂⁵	1	1	yes	characteristic
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	2	yes	—
1914	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1915	C₂²×C₄	C₂⁵	1	2	yes	—
1916	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1917	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1918	C₄⋊C₄	—	2	2	no	—
1919	C₄⋊C₄	—	2	2	no	—
1920	C₄⋊C₄	—	2	2	no	—
1921	C₄⋊C₄	—	2	2	no	—
1922	C₄⋊C₄	—	2	4	no	—
1923	C₄⋊C₄	—	2	2	no	—
1924	C₄⋊C₄	—	2	2	no	—
1925	C₄⋊C₄	—	2	2	no	—
1926	C₄⋊C₄	—	2	4	no	—
1927	C₄⋊C₄	—	2	4	no	—
1928	C₄⋊C₄	—	2	4	no	—
1929	C₄⋊C₄	—	2	4	no	—
1930	C₄⋊C₄	—	2	4	no	—
1931	C₄⋊C₄	—	2	4	no	—
1932	C₄⋊C₄	—	2	4	no	—
1933	C₄⋊C₄	—	2	2	no	—
1934	C₄⋊C₄	—	2	2	no	—
1935	C₄⋊C₄	—	2	2	no	—
1936	C₄⋊C₄	—	2	4	no	—
1937	C₄⋊C₄	—	2	4	no	—
1938	C₄⋊C₄	—	2	4	no	—
1939	C₄⋊C₄	—	2	4	no	—
1940	C₄⋊C₄	—	2	4	no	—
1941	C₄⋊C₄	—	2	4	no	—
1942	C₄⋊C₄	—	2	4	no	—
1943	C₄⋊C₄	—	2	4	no	—
1944	C₄⋊C₄	—	2	4	no	—
1945	C₄⋊C₄	—	2	4	no	—
1946	C₄⋊C₄	—	2	4	no	—
1947	C₄⋊C₄	—	2	4	no	—
1948	C₄⋊C₄	—	2	4	no	—
1949	C₄⋊C₄	—	2	4	no	—
1950	C₄⋊C₄	—	2	2	no	—
1951	C₄⋊C₄	—	2	4	no	—
1952	C₄⋊C₄	—	2	4	no	—
1953	C₄⋊C₄	—	2	2	no	—
1954	C₄⋊C₄	—	2	2	no	—
1955	C₄⋊C₄	—	2	2	no	—
1956	C₄⋊C₄	—	2	2	no	—
1957	C₄⋊C₄	—	2	4	no	—
1958	C₄⋊C₄	—	2	2	no	—
1959	C₄⋊C₄	—	2	4	no	—
1960	C₄⋊C₄	—	2	2	no	—
1961	C₄⋊C₄	—	2	2	no	—
1962	C₄⋊C₄	—	2	4	no	—
1963	C₄⋊C₄	—	2	4	no	—
1964	C₄⋊C₄	—	2	2	no	—
1965	C₄⋊C₄	—	2	2	no	—
1966	C₄⋊C₄	—	2	4	no	—
1967	C₄⋊C₄	—	2	4	no	—
1968	C₄⋊C₄	—	2	4	no	—
1969	C₄⋊C₄	—	2	4	no	—
1970	C₄⋊C₄	—	2	2	no	—
1971	C₄⋊C₄	—	2	2	no	—
1972	C₄⋊C₄	—	2	2	no	—
1973	C₄⋊C₄	—	2	2	no	—
1974	C₄⋊C₄	—	2	4	no	—
1975	C₄⋊C₄	—	2	2	no	—
1976	C₄⋊C₄	—	2	2	no	—
1977	C₄⋊C₄	—	2	2	no	—
1978	C₄⋊C₄	—	2	2	no	—
1979	C₄⋊C₄	—	2	4	no	—
1980	C₄⋊C₄	—	4	1	no	—
1981	C₄⋊C₄	—	4	1	no	—
1982	C₄⋊C₄	—	4	2	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	1	no	—
1988	C₄⋊C₄	—	4	1	no	—
1989	C₄⋊C₄	—	4	1	no	—
1990	C₄⋊C₄	—	4	2	no	—
1991	C₄⋊C₄	—	4	2	no	—
1992	C₄⋊C₄	—	4	2	no	—
1993	C₄⋊C₄	—	4	1	no	—
1994	C₄⋊C₄	—	4	2	no	—
1995	C₄⋊C₄	—	4	2	no	—
1996	C₄⋊C₄	—	4	2	no	—
1997	C₄⋊C₄	—	4	2	no	—
1998	C₄⋊C₄	—	4	2	no	—
1999	C₄⋊C₄	—	4	1	no	—
2000	C₄⋊C₄	—	4	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	1	no	—
2006	C₄⋊C₄	—	4	1	no	—
2007	C₄⋊C₄	—	4	2	no	—
2008	C₄⋊C₄	—	4	2	no	—
2009	C₄⋊C₄	—	4	2	no	—
2010	C₄⋊C₄	—	4	2	no	—
2011	C₄⋊C₄	—	4	2	no	—
2012	C₄⋊C₄	—	4	2	no	—
2013	C₄⋊C₄	—	4	1	no	—
2014	C₄⋊C₄	—	4	1	no	—
2015	C₄⋊C₄	—	4	1	no	—
2016	C₄⋊C₄	—	4	1	no	—
2017	C₄⋊C₄	—	4	1	no	—
2018	C₄⋊C₄	—	4	2	no	—
2019	C₄⋊C₄	—	4	2	no	—
2020	C₄⋊C₄	—	4	2	no	—
2021	C₄⋊C₄	—	4	2	no	—
2022	C₄⋊C₄	—	4	2	no	—
2023	C₄⋊C₄	—	4	2	no	—
2024	C₄⋊C₄	—	4	2	no	—
2025	C₄⋊C₄	—	4	2	no	—
2026	C₄⋊C₄	—	4	2	no	—
2027	C₄⋊C₄	—	4	2	no	—
2028	C₄⋊C₄	—	4	2	no	—
2029	C₄⋊C₄	—	4	2	no	—
2030	C₄⋊C₄	—	4	2	no	—
2031	C₄⋊C₄	—	4	2	no	—
2032	C₄⋊C₄	—	4	2	no	—
2033	C₄⋊C₄	—	4	2	no	—
2034	C₄⋊C₄	—	4	2	no	—
2035	C₄⋊C₄	C₂×#41	1	4	yes	—
2036	C₄⋊C₄	C₂×#41	1	4	yes	—
2037	C₄⋊C₄	C₂×#41	1	8	yes	—
2038	C₄⋊C₄	C₂×#41	1	4	yes	—
2039	C₄⋊C₄	C₂×#41	1	4	yes	—
2040	C₄⋊C₄	2₋¹⁺⁴	1	4	yes	—
2041	C₂²⋊C₄	—	2	4	no	—
2042	C₂²⋊C₄	—	2	4	no	—
2043	C₂²⋊C₄	—	2	4	no	—
2044	C₂²⋊C₄	—	2	4	no	—
2045	C₂²⋊C₄	—	2	4	no	—
2046	C₂²⋊C₄	—	2	2	no	—
2047	C₂²⋊C₄	—	2	2	no	—
2048	C₂²⋊C₄	—	2	2	no	—
2049	C₂²⋊C₄	—	2	2	no	—
2050	C₂²⋊C₄	—	2	2	no	—
2051	C₂²⋊C₄	—	2	4	no	—
2052	C₂²⋊C₄	—	2	4	no	—
2053	C₂²⋊C₄	—	2	2	no	—
2054	C₂²⋊C₄	—	2	2	no	—
2055	C₂²⋊C₄	—	2	2	no	—
2056	C₂²⋊C₄	—	2	2	no	—
2057	C₂²⋊C₄	—	2	2	no	—
2058	C₂²⋊C₄	—	2	2	no	—
2059	C₂²⋊C₄	—	2	4	no	—
2060	C₂²⋊C₄	—	2	2	no	—
2061	C₂²⋊C₄	—	2	4	no	—
2062	C₂²⋊C₄	—	2	4	no	—
2063	C₂²⋊C₄	—	2	2	no	—
2064	C₂²⋊C₄	—	4	1	no	—
2065	C₂²⋊C₄	—	4	2	no	—
2066	C₂²⋊C₄	—	4	1	no	—
2067	C₂²⋊C₄	—	4	2	no	—
2068	C₂²⋊C₄	—	4	1	no	—
2069	C₂²⋊C₄	—	4	1	no	—
2070	C₂²⋊C₄	—	4	2	no	—
2071	C₂²⋊C₄	—	4	2	no	—
2072	C₂²⋊C₄	—	4	2	no	—
2073	C₂²⋊C₄	—	4	1	no	—
2074	C₂²⋊C₄	—	4	1	no	—
2075	C₂²⋊C₄	—	4	2	no	—
2076	C₂²⋊C₄	—	4	2	no	—
2077	C₂²⋊C₄	—	4	2	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	1	no	—
2083	C₂²⋊C₄	—	4	1	no	—
2084	C₂²⋊C₄	—	4	1	no	—
2085	C₂²⋊C₄	—	4	2	no	—
2086	C₂²⋊C₄	C₂×#41	1	4	yes	—
2087	C₂²⋊C₄	C₂×#41	1	4	yes	—
2088	C₂²⋊C₄	C₂×#41	1	8	yes	—
2089	C₄²	—	2	2	no	—
2090	C₄²	—	2	4	no	—
2091	C₄²	—	2	4	no	—
2092	C₄²	—	2	2	no	—
2093	C₄²	—	2	4	no	—
2094	C₄²	—	2	2	no	—
2095	C₄²	—	2	4	no	—
2096	C₄²	—	2	2	no	—
2097	C₄²	—	2	4	no	—
2098	C₄²	—	2	4	no	—
2099	C₄²	—	2	4	no	—
2100	C₄²	—	2	4	no	—
2101	C₄²	—	2	4	no	—
2102	C₄²	—	2	4	no	—
2103	C₄²	—	2	4	no	—
2104	C₄²	—	2	4	no	—
2105	C₄²	—	2	4	no	—
2106	C₄²	—	2	4	no	—
2107	C₄²	—	2	2	no	—
2108	C₄²	—	2	2	no	—
2109	C₄²	—	2	2	no	—
2110	C₄²	—	2	2	no	—
2111	C₄²	—	2	4	no	—
2112	C₄²	—	2	4	no	—
2113	C₄²	—	2	4	no	—
2114	C₄²	—	2	2	no	—
2115	C₄²	—	2	2	no	—
2116	C₄²	—	2	2	no	—
2117	C₄²	—	2	2	no	—
2118	C₄²	—	2	2	no	—
2119	C₄²	—	2	2	no	—
2120	C₄²	—	2	2	no	—
2121	C₄²	—	2	2	no	—
2122	C₄²	—	2	4	no	—
2123	C₄²	—	2	4	no	—
2124	C₄²	—	2	2	no	—
2125	C₄²	—	4	1	no	—
2126	C₄²	—	4	1	no	—
2127	C₄²	—	4	1	no	—
2128	C₄²	—	4	1	no	—
2129	C₄²	—	4	1	no	—
2130	C₄²	—	4	1	no	—
2131	C₄²	—	4	1	no	—
2132	C₄²	—	4	1	no	—
2133	C₄²	—	4	2	no	—
2134	C₄²	—	4	1	no	—
2135	C₄²	—	4	1	no	—
2136	C₄²	—	4	2	no	—
2137	C₄²	—	4	2	no	—
2138	C₄²	—	4	1	no	—
2139	C₄²	—	4	1	no	—
2140	C₄²	—	4	2	no	—
2141	C₄²	—	4	2	no	—
2142	C₄²	—	4	2	no	—
2143	C₄²	—	4	1	no	—
2144	C₄²	—	4	2	no	—
2145	C₄²	—	4	2	no	—
2146	C₄²	—	4	2	no	—
2147	C₄²	—	4	2	no	—
2148	C₄²	—	4	2	no	—
2149	C₄²	—	4	2	no	—
2150	C₄²	—	4	2	no	—
2151	C₄²	—	4	2	no	—
2152	C₄²	—	4	2	no	—
2153	C₂³	—	2	1	no	—
2154	C₂³	—	2	1	no	—
2155	C₂³	—	2	1	no	—
2156	C₂³	—	2	1	no	—
2157	C₂³	—	2	1	no	—
2158	C₂³	—	2	1	no	—
2159	C₂³	—	2	1	no	—
2160	C₂³	—	2	1	no	—
2161	C₂³	—	2	1	no	—
2162	C₂³	—	2	1	no	—
2163	C₂³	—	2	1	no	—
2164	C₂³	—	2	1	no	—
2165	C₂³	—	2	1	no	—
2166	C₂³	—	2	1	no	—
2167	C₂³	—	2	1	no	—
2168	C₂³	—	2	1	no	—
2169	C₂³	—	2	1	no	—
2170	C₂³	—	2	1	no	—
2171	C₂³	—	2	1	no	—
2172	C₂³	C₂²×#41	1	2	yes	—
2173	C₂³	C₂²×#41	1	2	yes	—
2174	C₂³	C₂⁶	1	1	yes	characteristic
2175	Q₈	—	2	8	no	—
2176	Q₈	—	4	4	no	—
2177	Q₈	—	4	8	no	—
2178	Q₈	—	4	8	no	—
2179	Q₈	—	4	4	no	—
2180	Q₈	—	8	4	no	—
2181	D₄	—	4	4	no	—
2182	D₄	—	4	4	no	—
2183	D₄	—	8	2	no	—
2184	C₂×C₄	—	2	1	no	—
2185	C₂×C₄	—	2	2	no	—
2186	C₂×C₄	—	2	2	no	—
2187	C₂×C₄	—	2	1	no	—
2188	C₂×C₄	—	2	1	no	—
2189	C₂×C₄	—	2	2	no	—
2190	C₂×C₄	—	2	1	no	—
2191	C₂×C₄	—	2	1	no	—
2192	C₂×C₄	—	2	1	no	—
2193	C₂×C₄	—	2	1	no	—
2194	C₂×C₄	—	2	1	no	—
2195	C₂×C₄	—	2	1	no	—
2196	C₂×C₄	—	2	1	no	—
2197	C₂×C₄	—	2	2	no	—
2198	C₂×C₄	—	2	1	no	—
2199	C₂×C₄	—	2	2	no	—
2200	C₂×C₄	—	2	1	no	—
2201	C₂×C₄	—	2	1	no	—
2202	C₂×C₄	—	2	2	no	—
2203	C₂×C₄	—	2	1	no	—
2204	C₂×C₄	—	2	1	no	—
2205	C₂×C₄	—	2	1	no	—
2206	C₂×C₄	—	2	8	no	—
2207	C₂×C₄	—	2	2	no	—
2208	C₂×C₄	—	2	1	no	—
2209	C₂×C₄	—	2	1	no	—
2210	C₂×C₄	—	2	2	no	—
2211	C₂×C₄	—	2	1	no	—
2212	C₂×C₄	—	2	2	no	—
2213	C₂×C₄	—	2	1	no	—
2214	C₂×C₄	—	2	2	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	1	no	—
2220	C₂×C₄	—	2	2	no	—
2221	C₂×C₄	—	2	1	no	—
2222	C₂×C₄	—	2	2	no	—
2223	C₂×C₄	—	2	2	no	—
2224	C₂×C₄	—	2	2	no	—
2225	C₂×C₄	—	2	2	no	—
2226	C₂×C₄	—	2	2	no	—
2227	C₂×C₄	—	2	2	no	—
2228	C₂×C₄	—	2	1	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	1	no	—
2234	C₂×C₄	—	2	2	no	—
2235	C₂×C₄	—	2	1	no	—
2236	C₂×C₄	—	2	1	no	—
2237	C₂×C₄	—	2	1	no	—
2238	C₂×C₄	—	2	2	no	—
2239	C₂×C₄	—	2	2	no	—
2240	C₂×C₄	—	2	2	no	—
2241	C₂×C₄	—	2	1	no	—
2242	C₂×C₄	—	2	1	no	—
2243	C₂×C₄	—	2	1	no	—
2244	C₂×C₄	—	2	1	no	—
2245	C₂×C₄	—	2	2	no	—
2246	C₂×C₄	—	2	1	no	—
2247	C₂×C₄	—	2	1	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	2	no	—
2254	C₂×C₄	—	2	2	no	—
2255	C₂×C₄	—	2	1	no	—
2256	C₂×C₄	—	2	1	no	—
2257	C₂×C₄	—	2	2	no	—
2258	C₂×C₄	—	2	2	no	—
2259	C₂×C₄	—	2	2	no	—
2260	C₂×C₄	—	2	2	no	—
2261	C₂×C₄	—	2	1	no	—
2262	C₂×C₄	—	2	2	no	—
2263	C₂×C₄	—	2	1	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	2	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	2	no	—
2275	C₂×C₄	—	2	1	no	—
2276	C₂×C₄	—	2	2	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	2	no	—
2284	C₂×C₄	—	2	2	no	—
2285	C₂×C₄	—	2	1	no	—
2286	C₂×C₄	—	2	1	no	—
2287	C₂×C₄	—	2	2	no	—
2288	C₂×C₄	—	2	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	1	no	—
2294	C₂×C₄	—	2	1	no	—
2295	C₂×C₄	—	2	1	no	—
2296	C₂×C₄	—	2	1	no	—
2297	C₂×C₄	—	2	1	no	—
2298	C₂×C₄	—	2	1	no	—
2299	C₂×C₄	—	2	2	no	—
2300	C₂×C₄	—	2	1	no	—
2301	C₂×C₄	—	2	2	no	—
2302	C₂×C₄	—	2	1	no	—
2303	C₂×C₄	—	4	4	no	—
2304	C₂×C₄	—	4	8	no	—
2305	C₂×C₄	—	4	8	no	—
2306	C₂×C₄	—	4	4	no	—
2307	C₂×C₄	—	4	4	no	—
2308	C₂×C₄	—	4	4	no	—
2309	C₂×C₄	—	4	4	no	—
2310	C₂×C₄	—	4	4	no	—
2311	C₂×C₄	—	8	2	no	—
2312	C₂×C₄	—	8	2	no	—
2313	C₂×C₄	—	8	2	no	—
2314	C₂×C₄	—	8	2	no	—
2315	C₂×C₄	—	8	2	no	—
2316	C₂×C₄	—	8	2	no	—
2317	C₂×C₄	C₂²×#41	1	2	yes	—
2318	C₂×C₄	C₂²×#41	1	2	yes	—
2319	C₂×C₄	C₂²×#41	1	2	yes	—
2320	C₂×C₄	C₂²×#41	1	4	yes	—
2321	C₂×C₄	C₂²×#41	1	2	yes	—
2322	C₂×C₄	C₂²×#41	1	2	yes	—
2323	C₂×C₄	C₂²×#41	1	2	yes	—
2324	C₂×C₄	C₂²×#41	1	2	yes	—
2325	C₂×C₄	C₂²×#41	1	4	yes	—
2326	C₂×C₄	C₂²×#41	1	2	yes	—
2327	C₂×C₄	C₂×2₋¹⁺⁴	1	4	yes	—
2328	C₂×C₄	C₂×2₋¹⁺⁴	1	2	yes	—
2329	C₂×C₄	#585	1	2	yes	—
2330	C₂×C₄	#585	1	2	yes	—
2331	C₂²	—	2	2	no	—
2332	C₂²	—	2	2	no	—
2333	C₂²	—	2	2	no	—
2334	C₂²	—	2	2	no	—
2335	C₂²	—	2	2	no	—
2336	C₂²	—	2	2	no	—
2337	C₂²	—	4	1	no	—
2338	C₂²	—	4	1	no	—
2339	C₂²	—	4	1	no	—
2340	C₂²	—	4	1	no	—
2341	C₂²	—	4	1	no	—
2342	C₂²	—	4	1	no	—
2343	C₂²	—	4	1	no	—
2344	C₂²	—	4	1	no	—
2345	C₂²	—	4	1	no	—
2346	C₂²	—	4	1	no	—
2347	C₂²	—	4	1	no	—
2348	C₂²	—	4	1	no	—
2349	C₂²	—	4	1	no	—
2350	C₂²	—	4	1	no	—
2351	C₂²	—	4	1	no	—
2352	C₂²	C₂³×#41	1	1	yes	characteristic
2353	C₂²	C₂³×#41	1	1	yes	characteristic
2354	C₂²	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
2355	C₂²	C₂×#585	1	1	yes	characteristic
2356	C₂²	C₂×#585	1	1	yes	characteristic
2357	C₂²	2₋¹⁺⁶	1	1	yes	characteristic
2358	C₂²	2₋¹⁺⁶	1	1	yes	characteristic
2359	C₄	—	2	2	no	—
2360	C₄	—	2	2	no	—
2361	C₄	—	2	2	no	—
2362	C₄	—	2	2	no	—
2363	C₄	—	2	4	no	—
2364	C₄	—	2	2	no	—
2365	C₄	—	2	4	no	—
2366	C₄	—	2	2	no	—
2367	C₄	—	2	4	no	—
2368	C₄	—	2	2	no	—
2369	C₄	—	2	2	no	—
2370	C₄	—	4	1	no	—
2371	C₄	—	4	1	no	—
2372	C₄	—	4	2	no	—
2373	C₄	—	4	2	no	—
2374	C₄	—	4	1	no	—
2375	C₄	—	4	1	no	—
2376	C₄	—	4	2	no	—
2377	C₄	—	4	1	no	—
2378	C₄	—	4	1	no	—
2379	C₄	—	4	2	no	—
2380	C₄	—	4	1	no	—
2381	C₄	—	4	2	no	—
2382	C₄	—	4	2	no	—
2383	C₄	—	4	1	no	—
2384	C₄	—	4	1	no	—
2385	C₄	—	4	1	no	—
2386	C₄	—	4	2	no	—
2387	C₄	—	4	2	no	—
2388	C₄	—	4	1	no	—
2389	C₄	—	4	1	no	—
2390	C₄	—	4	1	no	—
2391	C₄	—	4	1	no	—
2392	C₄	—	4	1	no	—
2393	C₄	—	4	1	no	—
2394	C₄	—	4	2	no	—
2395	C₄	—	4	1	no	—
2396	C₄	—	4	2	no	—
2397	C₄	—	4	2	no	—
2398	C₄	—	4	1	no	—
2399	C₄	—	4	1	no	—
2400	C₄	—	4	2	no	—
2401	C₄	—	4	2	no	—
2402	C₄	#3515	1	4	yes	—
2403	C₂	—	4	2	no	—
2404	C₂	—	4	2	no	—
2405	C₂	—	8	1	no	—
2406	C₂	#41²	1	1	yes	characteristic
2407	C₂	C₂×#3515	1	1	yes	characteristic
2408	C₂	#62850	1	1	yes	characteristic
2409	C₂	#62907	1	1	yes	characteristic
2410	C₂	#62953	1	1	yes	characteristic
2411	C₂	#62991	1	1	yes	characteristic
2412	C₂	#62998	1	1	yes	characteristic

	subgroup	G/H
center, commutator, Frattini, socle, cosocle	C₂³	C₂⁶
prime radical	C₂×#121	C₂³
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂³ ◁ G
LECS	G ▷ C₂³ ▷ C₁

Complements

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

N	H ≅ G/N	type
1. #59922	C₂	semidirect
2. #59922	C₂	semidirect
3. #59670	C₂	semidirect
5. #59547	C₂	semidirect
6. #59506	C₂	semidirect
7. #59502	C₂	semidirect
8. #59400	C₂	semidirect
10. #59298	C₂	semidirect
11. #59297	C₂	semidirect
12. #59294	C₂	semidirect
13. #59262	C₂	semidirect
14. #59256	C₂	semidirect
15. #59116	C₂	semidirect
16. #59114	C₂	semidirect
18. #44613	C₂	semidirect
19. #44528	C₂	semidirect
20. #44506	C₂	semidirect
21. #43864	C₂	semidirect
22. #43784	C₂	semidirect
23. #43758	C₂	semidirect
24. #43738	C₂	semidirect
25. #39787	C₂	semidirect
26. #39667	C₂	semidirect
27. #39091	C₂	semidirect
28. #39011	C₂	semidirect
29. #39003	C₂	semidirect
30. #38991	C₂	semidirect
31. #37920	C₂	semidirect
33. #36491	C₂	semidirect
34. #36475	C₂	semidirect
35. #36178	C₂	semidirect
36. #36133	C₂	semidirect
37. #35498	C₂	semidirect
38. #35494	C₂	semidirect
39. #35121	C₂	semidirect
40. #35039	C₂	semidirect
41. #34815	C₂	semidirect
42. #34793	C₂	semidirect
43. #34324	C₂	semidirect
44. #34235	C₂	semidirect
45. #34231	C₂	semidirect
46. C₄×#552	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
#59670	2
#59566	2
#59547	2
#59506	2
#59502	2
#59400	2
#59316	2
#59298	2
#59297	2
#59294	2
#59262	2
#59256	2
#59116	2
#59114	2
#44682	2
#44613	2
#44528	2
#44506	2
#43864	2
#43784	2
#43758	2
#43738	2
#39787	2
#39667	2
#39091	2
#39011	2
#39003	2
#38991	2
#37920	2
#37821	2
#36491	2
#36475	2
#36178	2
#36133	2
#35498	2
#35494	2
#35121	2
#35039	2
#34815	2
#34793	2
#34324	2
#34235	2
#34231	2
C₄×#552	2
C₄×#539	2