Subgroups — #7743818

Order 512.

4440 conjugacy classes of subgroups.

The subgroup lattice has 2466 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#51215	C₂	1	2	yes	maximal, complemented
2	#51083	C₂	1	2	yes	maximal, complemented
3	#51081	C₂	1	2	yes	maximal, complemented
4	#51076	C₂	1	2	yes	maximal, complemented
5	#50904	C₂	1	2	yes	maximal, complemented
6	#50708	C₂	1	2	yes	maximal, complemented
7	#50706	C₂	1	2	yes	maximal, complemented
8	#50702	C₂	1	2	yes	maximal, complemented
9	#48860	C₂	1	2	yes	maximal, complemented
10	#48859	C₂	1	2	yes	maximal, complemented
11	#47986	C₂	1	2	yes	maximal, complemented
12	#47983	C₂	1	2	yes	maximal, complemented
13	#45794	C₂	1	2	yes	maximal, complemented
14	#45792	C₂	1	2	yes	maximal
15	#45499	C₂	1	2	yes	maximal, complemented
16	#45497	C₂	1	2	yes	maximal
17	#39626	C₂	1	1	yes	maximal, characteristic, complemented
18	#39625	C₂	1	1	yes	maximal, characteristic, complemented
19	#39370	C₂	1	1	yes	maximal, characteristic, complemented
20	#39369	C₂	1	1	yes	maximal, characteristic, complemented
21	#39177	C₂	1	1	yes	maximal, characteristic, complemented
22	#39176	C₂	1	1	yes	maximal, characteristic, complemented
23	#38961	C₂	1	1	yes	maximal, characteristic, complemented
24	#38960	C₂	1	1	yes	maximal, characteristic, complemented
25	#38107	C₂	1	1	yes	maximal, characteristic, complemented
26	#38106	C₂	1	1	yes	maximal, characteristic, complemented
27	#38105	C₂	1	1	yes	maximal, characteristic, complemented
28	#38104	C₂	1	1	yes	maximal, characteristic, complemented
29	#37687	C₂	1	1	yes	maximal, characteristic, complemented
30	#37687	C₂	1	1	yes	maximal, characteristic, complemented
31	#37686	C₂	1	1	yes	maximal, characteristic, complemented
32	#37686	C₂	1	1	yes	maximal, characteristic, complemented
33	#37624	C₂	1	1	yes	maximal, characteristic, complemented
34	#37624	C₂	1	1	yes	maximal, characteristic, complemented
35	#37429	C₂	1	1	yes	maximal, characteristic, complemented
36	#37427	C₂	1	1	yes	maximal, characteristic, complemented
37	#37312	C₂	1	1	yes	maximal, characteristic, complemented
38	#37308	C₂	1	1	yes	maximal, characteristic, complemented
39	#35641	C₂	1	1	yes	maximal, characteristic, complemented
40	#35640	C₂	1	1	yes	maximal, characteristic, complemented
41	#35578	C₂	1	1	yes	maximal, characteristic, complemented
42	#35576	C₂	1	1	yes	maximal, characteristic, complemented
43	#35235	C₂	1	1	yes	maximal, characteristic, complemented
44	#35167	C₂	1	1	yes	maximal, characteristic, complemented
45	#34385	C₂	1	1	yes	maximal, characteristic
46	#34350	C₂	1	1	yes	maximal, characteristic
47	#34243	C₂	1	1	yes	maximal, characteristic
48	C₂×#544	C₂²	1	1	yes	characteristic
49	C₂×#544	C₂²	1	1	yes	characteristic
50	C₂×#544	C₂²	1	1	yes	characteristic
51	C₂×#544	C₂²	1	1	yes	characteristic
52	C₂²×C₄⋊Q₈	C₂²	1	1	yes	characteristic
53	C₂×#529	C₂²	1	1	yes	characteristic
54	C₂²×#125	C₂²	1	1	yes	characteristic
55	#2868	C₂²	1	1	yes	characteristic
56	#2864	C₂²	1	1	yes	characteristic
57	#2864	C₂²	1	1	yes	characteristic
58	#2859	C₂²	1	1	yes	characteristic
59	#2857	C₂²	1	1	yes	characteristic
60	#2857	C₂²	1	1	yes	characteristic
61	#2857	C₂²	1	2	yes	—
62	#2857	C₂²	1	2	yes	—
63	#2855	C₂²	1	2	yes	—
64	#2855	C₂²	1	2	yes	—
65	#2851	C₂²	1	1	yes	characteristic
66	#2851	C₂²	1	1	yes	characteristic
67	#2841	C₂²	1	2	yes	—
68	#2841	C₂²	1	2	yes	—
69	#2841	C₂²	1	2	yes	—
70	#2841	C₂²	1	2	yes	—
71	#2809	C₂²	1	2	yes	—
72	#2807	C₂²	1	2	yes	—
73	#2806	C₂²	1	2	yes	—
74	#2806	C₂²	1	2	yes	—
75	#2806	C₂²	1	2	yes	—
76	#2805	C₂²	1	2	yes	—
77	#2805	C₂²	1	2	yes	—
78	#2805	C₂²	1	2	yes	—
79	#2804	C₂²	1	2	yes	—
80	#2802	C₂²	1	2	yes	—
81	#2802	C₂²	1	2	yes	—
82	#2799	C₂²	1	2	yes	—
83	#2799	C₂²	1	2	yes	—
84	#2792	C₂²	1	2	yes	—
85	#2792	C₂²	1	2	yes	—
86	#2792	C₂²	1	2	yes	—
87	#2792	C₂²	1	2	yes	—
88	#2792	C₂²	1	2	yes	—
89	#2792	C₂²	1	2	yes	—
90	#2791	C₂²	1	2	yes	—
91	#2791	C₂²	1	2	yes	—
92	#2791	C₂²	1	2	yes	—
93	#2791	C₂²	1	2	yes	—
94	#2791	C₂²	1	2	yes	—
95	#2791	C₂²	1	2	yes	—
96	#2791	C₂²	1	2	yes	—
97	#2791	C₂²	1	2	yes	—
98	#2790	C₂²	1	2	yes	—
99	#2790	C₂²	1	2	yes	—
100	#2790	C₂²	1	2	yes	—
101	#2790	C₂²	1	2	yes	—
102	#2790	C₂²	1	2	yes	—
103	#2790	C₂²	1	2	yes	—
104	#2790	C₂²	1	2	yes	—
105	#2790	C₂²	1	2	yes	—
106	#2788	C₂²	1	2	yes	—
107	#2788	C₂²	1	2	yes	—
108	#2784	C₂²	1	2	yes	—
109	#2784	C₂²	1	2	yes	—
110	#2780	C₂²	1	2	yes	—
111	#2780	C₂²	1	2	yes	—
112	#2780	C₂²	1	2	yes	—
113	#2780	C₂²	1	2	yes	—
114	#2774	C₂²	1	2	yes	—
115	#2774	C₂²	1	2	yes	—
116	#2768	C₂²	1	2	yes	—
117	#2768	C₂²	1	2	yes	—
118	#2763	C₂²	1	2	yes	—
119	#2755	C₂²	1	2	yes	—
120	#2755	C₂²	1	2	yes	—
121	#2748	C₂²	1	2	yes	—
122	#2748	C₂²	1	2	yes	—
123	#2742	C₂²	1	2	yes	—
124	#2742	C₂²	1	2	yes	—
125	#2742	C₂²	1	2	yes	—
126	#2734	C₂²	1	2	yes	—
127	#2734	C₂²	1	2	yes	—
128	#2734	C₂²	1	2	yes	—
129	#2734	C₂²	1	2	yes	—
130	#2734	C₂²	1	2	yes	—
131	#2734	C₂²	1	2	yes	—
132	#2734	C₂²	1	2	yes	—
133	#2732	C₂²	1	2	yes	—
134	#2729	C₂²	1	2	yes	—
135	#2729	C₂²	1	2	yes	—
136	#2729	C₂²	1	2	yes	—
137	#2729	C₂²	1	2	yes	—
138	#2729	C₂²	1	2	yes	—
139	#2729	C₂²	1	2	yes	—
140	#2726	C₂²	1	2	yes	—
141	#2726	C₂²	1	2	yes	—
142	#2720	C₂²	1	2	yes	—
143	#2720	C₂²	1	2	yes	—
144	#2720	C₂²	1	2	yes	—
145	#2720	C₂²	1	2	yes	—
146	#2720	C₂²	1	2	yes	—
147	#2720	C₂²	1	2	yes	—
148	#2713	C₂²	1	2	yes	—
149	#2713	C₂²	1	2	yes	—
150	#2713	C₂²	1	2	yes	—
151	#2713	C₂²	1	2	yes	—
152	#2713	C₂²	1	2	yes	—
153	#2713	C₂²	1	2	yes	—
154	#2704	C₂²	1	2	yes	—
155	#2704	C₂²	1	2	yes	—
156	#2704	C₂²	1	2	yes	—
157	#2704	C₂²	1	2	yes	—
158	#2692	C₂²	1	2	yes	—
159	#2692	C₂²	1	2	yes	—
160	#2677	C₂²	1	2	yes	—
161	#2677	C₂²	1	2	yes	—
162	#2677	C₂²	1	2	yes	—
163	#2677	C₂²	1	2	yes	—
164	#2677	C₂²	1	2	yes	—
165	#2677	C₂²	1	2	yes	—
166	#2677	C₂²	1	2	yes	—
167	#2666	C₂²	1	2	yes	—
168	#2666	C₂²	1	2	yes	—
169	#2666	C₂²	1	2	yes	—
170	#2666	C₂²	1	2	yes	—
171	#2666	C₂²	1	2	yes	—
172	#2666	C₂²	1	2	yes	—
173	#2660	C₂²	1	2	yes	—
174	#2660	C₂²	1	1	yes	characteristic
175	#2660	C₂²	1	1	yes	characteristic
176	#2660	C₂²	1	1	yes	characteristic
177	#2660	C₂²	1	1	yes	characteristic
178	#2659	C₂²	1	2	yes	—
179	#2659	C₂²	1	2	yes	—
180	#2647	C₂²	1	1	yes	characteristic
181	#2647	C₂²	1	1	yes	characteristic
182	#2647	C₂²	1	1	yes	characteristic
183	#2647	C₂²	1	1	yes	characteristic
184	#2647	C₂²	1	2	yes	—
185	#2629	C₂²	1	1	yes	characteristic
186	#2629	C₂²	1	1	yes	characteristic
187	#2629	C₂²	1	1	yes	characteristic
188	#2629	C₂²	1	1	yes	characteristic
189	#2629	C₂²	1	2	yes	—
190	#2628	C₂²	1	1	yes	characteristic
191	#2628	C₂²	1	1	yes	characteristic
192	#2628	C₂²	1	1	yes	characteristic
193	#2628	C₂²	1	2	yes	—
194	#2628	C₂²	1	1	yes	characteristic
195	#2606	C₂²	1	2	yes	—
196	#2605	C₂²	1	2	yes	—
197	#2590	C₂²	1	2	yes	—
198	#2590	C₂²	1	2	yes	—
199	#2590	C₂²	1	2	yes	—
200	#2590	C₂²	1	2	yes	—
201	#2589	C₂²	1	2	yes	—
202	#2589	C₂²	1	2	yes	—
203	#2589	C₂²	1	2	yes	—
204	#2589	C₂²	1	2	yes	—
205	#2588	C₂²	1	2	yes	—
206	#2588	C₂²	1	2	yes	—
207	#2587	C₂²	1	2	yes	—
208	#2587	C₂²	1	2	yes	—
209	#2586	C₂²	1	2	yes	—
210	#2586	C₂²	1	2	yes	—
211	#2585	C₂²	1	2	yes	—
212	#2585	C₂²	1	2	yes	—
213	#2585	C₂²	1	2	yes	—
214	#2585	C₂²	1	2	yes	—
215	#2583	C₂²	1	2	yes	—
216	#2583	C₂²	1	2	yes	—
217	#2583	C₂²	1	2	yes	—
218	#2583	C₂²	1	2	yes	—
219	#2582	C₂²	1	2	yes	—
220	#2574	C₂²	1	2	yes	—
221	#2574	C₂²	1	2	yes	—
222	#2574	C₂²	1	2	yes	—
223	#2574	C₂²	1	2	yes	—
224	#2571	C₂²	1	1	yes	characteristic
225	#2571	C₂²	1	1	yes	characteristic
226	#2570	C₂²	1	1	yes	characteristic
227	#2570	C₂²	1	1	yes	characteristic
228	#2570	C₂²	1	1	yes	characteristic
229	#2570	C₂²	1	1	yes	characteristic
230	#2570	C₂²	1	2	yes	—
231	#2570	C₂²	1	1	yes	characteristic
232	#2570	C₂²	1	1	yes	characteristic
233	#2570	C₂²	1	1	yes	characteristic
234	#2570	C₂²	1	1	yes	characteristic
235	#2569	C₂²	1	2	yes	—
236	#2567	C₂²	1	2	yes	—
237	#2567	C₂²	1	2	yes	—
238	#2556	C₂²	1	2	yes	—
239	#2556	C₂²	1	2	yes	—
240	#2552	C₂²	1	1	yes	characteristic
241	#2552	C₂²	1	1	yes	characteristic
242	#2552	C₂²	1	2	yes	—
243	#2552	C₂²	1	2	yes	—
244	#2552	C₂²	1	1	yes	characteristic
245	#2552	C₂²	1	1	yes	characteristic
246	#2552	C₂²	1	1	yes	characteristic
247	#2552	C₂²	1	1	yes	characteristic
248	#2552	C₂²	1	1	yes	characteristic
249	#2552	C₂²	1	1	yes	characteristic
250	#2552	C₂²	1	2	yes	—
251	#2552	C₂²	1	1	yes	characteristic
252	#2552	C₂²	1	1	yes	characteristic
253	#2551	C₂²	1	1	yes	characteristic
254	#2551	C₂²	1	2	yes	—
255	#2551	C₂²	1	2	yes	—
256	#2551	C₂²	1	2	yes	—
257	#2551	C₂²	1	2	yes	—
258	#2551	C₂²	1	2	yes	—
259	#2551	C₂²	1	1	yes	characteristic
260	#2551	C₂²	1	1	yes	characteristic
261	#2551	C₂²	1	1	yes	characteristic
262	#2551	C₂²	1	1	yes	characteristic
263	#2551	C₂²	1	1	yes	characteristic
264	#2551	C₂²	1	1	yes	characteristic
265	#2551	C₂²	1	1	yes	characteristic
266	#2550	C₂²	1	1	yes	characteristic
267	#2550	C₂²	1	1	yes	characteristic
268	#2550	C₂²	1	1	yes	characteristic
269	#2550	C₂²	1	1	yes	characteristic
270	#2550	C₂²	1	2	yes	—
271	#2550	C₂²	1	2	yes	—
272	#2550	C₂²	1	2	yes	—
273	#2550	C₂²	1	2	yes	—
274	#2550	C₂²	1	2	yes	—
275	#2550	C₂²	1	2	yes	—
276	#2550	C₂²	1	1	yes	characteristic
277	#2550	C₂²	1	1	yes	characteristic
278	#2550	C₂²	1	1	yes	characteristic
279	#2550	C₂²	1	2	yes	—
280	#2550	C₂²	1	1	yes	characteristic
281	#2550	C₂²	1	1	yes	characteristic
282	#2550	C₂²	1	1	yes	characteristic
283	#2550	C₂²	1	1	yes	characteristic
284	#2550	C₂²	1	1	yes	characteristic
285	#2549	C₂²	1	2	yes	—
286	#2546	C₂²	1	2	yes	—
287	#2542	C₂²	1	2	yes	—
288	#2538	C₂²	1	2	yes	—
289	#2522	C₂²	1	2	yes	—
290	#2522	C₂²	1	2	yes	—
291	#2522	C₂²	1	2	yes	—
292	#2522	C₂²	1	2	yes	—
293	#2520	C₂²	1	2	yes	—
294	#2520	C₂²	1	2	yes	—
295	#2520	C₂²	1	2	yes	—
296	#2520	C₂²	1	2	yes	—
297	#2511	C₂²	1	2	yes	—
298	#2511	C₂²	1	2	yes	—
299	#2511	C₂²	1	2	yes	—
300	#2507	C₂²	1	2	yes	—
301	#2507	C₂²	1	2	yes	—
302	#2507	C₂²	1	2	yes	—
303	#2506	C₂²	1	2	yes	—
304	#2506	C₂²	1	2	yes	—
305	#2502	C₂²	1	2	yes	—
306	#2502	C₂²	1	2	yes	—
307	#2497	C₂²	1	2	yes	—
308	#2497	C₂²	1	2	yes	—
309	#2497	C₂²	1	2	yes	—
310	#2492	C₂²	1	2	yes	—
311	#2473	C₂²	1	2	yes	—
312	#2473	C₂²	1	2	yes	—
313	#2473	C₂²	1	2	yes	—
314	#2473	C₂²	1	2	yes	—
315	#2465	C₂²	1	2	yes	—
316	#2465	C₂²	1	2	yes	—
317	#2462	C₂²	1	2	yes	—
318	#2462	C₂²	1	2	yes	—
319	#2452	C₂²	1	2	yes	—
320	#2452	C₂²	1	2	yes	—
321	#2451	C₂²	1	2	yes	—
322	#2451	C₂²	1	2	yes	—
323	#2451	C₂²	1	2	yes	—
324	#2449	C₂²	1	2	yes	—
325	#2449	C₂²	1	2	yes	—
326	#2449	C₂²	1	2	yes	—
327	#2449	C₂²	1	2	yes	—
328	#2446	C₂²	1	2	yes	—
329	#2442	C₂²	1	1	yes	characteristic
330	#2442	C₂²	1	1	yes	characteristic
331	#2442	C₂²	1	1	yes	characteristic
332	#2442	C₂²	1	1	yes	characteristic
333	#2442	C₂²	1	1	yes	characteristic
334	#2442	C₂²	1	1	yes	characteristic
335	#2441	C₂²	1	1	yes	characteristic
336	#2441	C₂²	1	1	yes	characteristic
337	#2441	C₂²	1	1	yes	characteristic
338	#2441	C₂²	1	1	yes	characteristic
339	#2441	C₂²	1	1	yes	characteristic
340	#2441	C₂²	1	2	yes	—
341	#2441	C₂²	1	1	yes	characteristic
342	#2440	C₂²	1	2	yes	—
343	#2440	C₂²	1	2	yes	—
344	#2440	C₂²	1	1	yes	characteristic
345	#2440	C₂²	1	1	yes	characteristic
346	#2440	C₂²	1	1	yes	characteristic
347	#2440	C₂²	1	1	yes	characteristic
348	#2440	C₂²	1	1	yes	characteristic
349	#2440	C₂²	1	1	yes	characteristic
350	#2439	C₂²	1	1	yes	characteristic
351	#2439	C₂²	1	1	yes	characteristic
352	#2439	C₂²	1	1	yes	characteristic
353	#2439	C₂²	1	2	yes	—
354	#2439	C₂²	1	1	yes	characteristic
355	#2439	C₂²	1	1	yes	characteristic
356	#2439	C₂²	1	1	yes	characteristic
357	#2434	C₂²	1	2	yes	—
358	#2434	C₂²	1	2	yes	—
359	#2434	C₂²	1	2	yes	—
360	#2434	C₂²	1	2	yes	—
361	#2429	C₂²	1	2	yes	—
362	#2423	C₂²	1	2	yes	—
363	#2417	C₂²	1	2	yes	—
364	#2417	C₂²	1	2	yes	—
365	#2409	C₂²	1	2	yes	—
366	#2409	C₂²	1	2	yes	—
367	#2383	C₂²	1	1	yes	characteristic
368	#2383	C₂²	1	1	yes	characteristic
369	#2383	C₂²	1	1	yes	characteristic
370	#2383	C₂²	1	1	yes	characteristic
371	#2382	C₂²	1	1	yes	characteristic
372	#2382	C₂²	1	1	yes	characteristic
373	#2379	C₂²	1	1	yes	characteristic
374	#2379	C₂²	1	1	yes	characteristic
375	#2378	C₂²	1	1	yes	characteristic
376	#2378	C₂²	1	1	yes	characteristic
377	#2378	C₂²	1	2	yes	—
378	#2377	C₂²	1	1	yes	characteristic
379	#2377	C₂²	1	1	yes	characteristic
380	#2377	C₂²	1	2	yes	—
381	#2376	C₂²	1	1	yes	characteristic
382	#2376	C₂²	1	1	yes	characteristic
383	#2376	C₂²	1	1	yes	characteristic
384	#2376	C₂²	1	1	yes	characteristic
385	#2373	C₂²	1	2	yes	—
386	#2373	C₂²	1	2	yes	—
387	#2370	C₂²	1	2	yes	—
388	#2367	C₂²	1	2	yes	—
389	#2359	C₂²	1	2	yes	—
390	#2359	C₂²	1	2	yes	—
391	#2355	C₂²	1	1	yes	characteristic
392	#2355	C₂²	1	1	yes	characteristic
393	#2355	C₂²	1	1	yes	characteristic
394	#2354	C₂²	1	1	yes	characteristic
395	#2354	C₂²	1	1	yes	characteristic
396	#2354	C₂²	1	1	yes	characteristic
397	#2352	C₂²	1	1	yes	characteristic
398	#2352	C₂²	1	1	yes	characteristic
399	#2352	C₂²	1	1	yes	characteristic
400	#2352	C₂²	1	1	yes	characteristic
401	#2352	C₂²	1	1	yes	characteristic
402	#2352	C₂²	1	1	yes	characteristic
403	Q₈×C₄⋊C₄	C₂²	1	1	yes	characteristic
404	D₄×C₄⋊C₄	C₂²	1	1	yes	characteristic
405	D₄×C₄⋊C₄	C₂²	1	1	yes	characteristic
406	D₄×C₄⋊C₄	C₂²	1	1	yes	characteristic
407	#2337	C₂²	1	2	yes	—
408	#2336	C₂²	1	2	yes	—
409	#2335	C₂²	1	2	yes	—
410	#2335	C₂²	1	2	yes	—
411	#2334	C₂²	1	2	yes	—
412	#2334	C₂²	1	2	yes	—
413	#2331	C₂²	1	1	yes	characteristic
414	#2331	C₂²	1	1	yes	characteristic
415	#2331	C₂²	1	1	yes	characteristic
416	#2331	C₂²	1	1	yes	characteristic
417	#2330	C₂²	1	1	yes	characteristic
418	#2330	C₂²	1	1	yes	characteristic
419	#2330	C₂²	1	1	yes	characteristic
420	#2330	C₂²	1	1	yes	characteristic
421	#2317	C₂²	1	1	yes	characteristic
422	#2317	C₂²	1	1	yes	characteristic
423	#2317	C₂²	1	1	yes	characteristic
424	#2317	C₂²	1	1	yes	characteristic
425	#2316	C₂²	1	1	yes	characteristic
426	#2316	C₂²	1	1	yes	characteristic
427	#2314	C₂²	1	1	yes	characteristic
428	#2314	C₂²	1	1	yes	characteristic
429	#2314	C₂²	1	1	yes	characteristic
430	#2314	C₂²	1	1	yes	characteristic
431	C₄×C₄⋊Q₈	C₂²	1	1	yes	characteristic
432	C₄×C₄⋊Q₈	C₂²	1	1	yes	characteristic
433	C₄×#125	C₂²	1	1	yes	characteristic
434	C₄×#125	C₂²	1	1	yes	characteristic
435	C₄×C₂²⋊Q₈	C₂²	1	2	yes	—
436	C₄×#121	C₂²	1	2	yes	—
437	#2298	C₂²	1	1	yes	characteristic
438	#2298	C₂²	1	1	yes	characteristic
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	#2295	C₂²	1	1	yes	characteristic
444	#2295	C₂²	1	1	yes	characteristic
445	#2293	C₂²	1	1	yes	characteristic
446	#2293	C₂²	1	1	yes	characteristic
447	#2290	C₂²	1	1	yes	characteristic
448	#2290	C₂²	1	1	yes	characteristic
449	#2290	C₂²	1	1	yes	characteristic
450	#2290	C₂²	1	1	yes	characteristic
451	#2285	C₂²	1	1	yes	characteristic
452	#2285	C₂²	1	1	yes	characteristic
453	#2285	C₂²	1	1	yes	characteristic
454	#2283	C₂²	1	1	yes	characteristic
455	#2283	C₂²	1	1	yes	characteristic
456	#2274	C₂²	1	1	yes	characteristic
457	#2274	C₂²	1	1	yes	characteristic
458	C₂×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic
459	C₂³×Q₈	C₂³	1	2	yes	—
460	#544	—	4	4	no	—
461	#544	—	4	4	no	—
462	#544	—	4	4	no	—
463	#544	—	4	4	no	—
464	C₂×C₄⋊Q₈	—	4	4	no	—
465	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
466	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
467	C₂×C₄⋊Q₈	C₂³	1	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	1	yes	characteristic
473	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
474	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
475	C₂×C₄⋊Q₈	C₂³	1	2	yes	—
476	C₂×C₄⋊Q₈	C₂³	1	2	yes	—
477	C₂×C₄⋊Q₈	C₂³	1	2	yes	—
478	C₂×C₄⋊Q₈	C₂³	1	2	yes	—
479	C₂×C₄⋊Q₈	C₂³	1	2	yes	—
480	C₂×C₄⋊Q₈	C₂³	1	2	yes	—
481	C₂×C₄⋊Q₈	C₂³	1	2	yes	—
482	C₂×C₄⋊Q₈	C₂³	1	2	yes	—
483	C₂×C₄⋊Q₈	C₂³	1	2	yes	—
484	C₂×C₄⋊Q₈	C₂³	1	2	yes	—
485	C₂×C₄⋊Q₈	C₂³	1	2	yes	—
486	C₂×C₄⋊Q₈	C₂³	1	2	yes	—
487	C₂×C₄⋊Q₈	C₂³	1	2	yes	—
488	C₂×C₄⋊Q₈	C₂³	1	2	yes	—
489	C₂×C₄⋊Q₈	C₂³	1	2	yes	—
490	C₂×C₄⋊Q₈	C₂³	1	2	yes	—
491	#529	Q₈	1	16	yes	complemented
492	C₂×#126	C₂³	1	1	yes	characteristic
493	C₂×#126	C₂³	1	1	yes	characteristic
494	C₂×#125	—	4	4	no	—
495	C₂×#125	C₂³	1	1	yes	characteristic
496	C₂×#125	C₂³	1	1	yes	characteristic
497	C₂×#125	C₂³	1	1	yes	characteristic
498	C₂×#125	C₂³	1	1	yes	characteristic
499	C₂×#125	C₂³	1	1	yes	characteristic
500	C₂×#125	C₂³	1	1	yes	characteristic
501	C₂×#125	C₂³	1	1	yes	characteristic
502	C₂×#125	C₂³	1	1	yes	characteristic
503	C₂×#125	C₂³	1	1	yes	characteristic
504	C₂×#125	C₂³	1	1	yes	characteristic
505	C₂×#125	C₂³	1	2	yes	—
506	C₂×#125	C₂³	1	2	yes	—
507	C₂×#125	C₂³	1	2	yes	—
508	C₂×#125	C₂³	1	2	yes	—
509	C₂×#125	C₂³	1	2	yes	—
510	C₂×#125	C₂³	1	2	yes	—
511	C₂×#125	C₂³	1	2	yes	—
512	C₂×#125	C₂³	1	2	yes	—
513	C₂×#125	C₂³	1	1	yes	characteristic
514	C₂×#124	C₂³	1	1	yes	characteristic
515	C₂×#123	C₂³	1	1	yes	characteristic
516	C₂×#123	C₂³	1	1	yes	characteristic
517	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
518	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
519	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
520	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
521	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
522	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
523	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
524	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
525	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
526	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
527	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
528	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
529	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
530	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
531	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
532	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
533	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
534	C₂×#121	C₂³	1	1	yes	characteristic
535	C₂×C₄×Q₈	C₂³	1	2	yes	—
536	C₂×C₄×Q₈	C₂³	1	2	yes	—
537	C₂×C₄×Q₈	C₂³	1	2	yes	—
538	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
539	C₂×C₄×D₄	C₂³	1	2	yes	—
540	C₂×C₄×D₄	C₂³	1	2	yes	—
541	C₂×C₄×D₄	C₂³	1	2	yes	—
542	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
543	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
544	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
545	C₂×#117	C₂³	1	1	yes	characteristic
546	C₂×#117	C₂³	1	1	yes	characteristic
547	C₂×#117	C₂³	1	1	yes	characteristic
548	C₂×#117	C₂³	1	1	yes	characteristic
549	C₂×#117	C₂³	1	1	yes	characteristic
550	C₂×#117	C₂³	1	1	yes	characteristic
551	C₂×#117	C₂³	1	1	yes	characteristic
552	C₂×#117	C₂³	1	1	yes	characteristic
553	C₂×#117	C₂³	1	1	yes	characteristic
554	C₂×#117	C₂³	1	1	yes	characteristic
555	C₂×#117	C₂³	1	2	yes	—
556	C₂×#117	C₂³	1	1	yes	characteristic
557	C₂×#117	C₂³	1	1	yes	characteristic
558	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
559	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
560	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
561	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
562	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
563	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
564	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
565	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
566	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
567	C₂²×C₄²	C₂³	1	1	yes	characteristic
568	C₂²×C₄²	C₂³	1	1	yes	characteristic
569	C₂²×C₄²	C₂³	1	2	yes	—
570	C₂²×C₄²	C₂³	1	1	yes	characteristic
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	#400	C₂³	1	2	yes	—
600	#400	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	#399	C₂³	1	2	yes	—
606	#399	C₂³	1	2	yes	—
607	#399	C₂³	1	2	yes	—
608	#399	C₂³	1	2	yes	—
609	#399	C₂³	1	2	yes	—
610	#399	C₂³	1	2	yes	—
611	#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	#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	2	yes	—
673	#398	C₂³	1	2	yes	—
674	#398	C₂³	1	2	yes	—
675	#398	C₂³	1	2	yes	—
676	#398	C₂³	1	2	yes	—
677	#398	C₂³	1	2	yes	—
678	#398	C₂³	1	2	yes	—
679	#398	C₂³	1	2	yes	—
680	#398	C₂³	1	2	yes	—
681	#398	C₂³	1	2	yes	—
682	#398	C₂³	1	2	yes	—
683	#398	C₂³	1	2	yes	—
684	#398	C₂³	1	2	yes	—
685	#398	C₂³	1	2	yes	—
686	#398	C₂³	1	2	yes	—
687	#396	C₂³	1	2	yes	—
688	#396	C₂³	1	2	yes	—
689	#396	C₂³	1	2	yes	—
690	#396	C₂³	1	2	yes	—
691	#396	C₂³	1	2	yes	—
692	#396	C₂³	1	2	yes	—
693	#396	C₂³	1	2	yes	—
694	#396	C₂³	1	2	yes	—
695	#396	C₂³	1	2	yes	—
696	#396	C₂³	1	2	yes	—
697	#396	C₂³	1	2	yes	—
698	#396	C₂³	1	2	yes	—
699	#396	C₂³	1	2	yes	—
700	#396	C₂³	1	2	yes	—
701	#396	C₂³	1	2	yes	—
702	#396	C₂³	1	2	yes	—
703	#396	C₂³	1	2	yes	—
704	#396	C₂³	1	2	yes	—
705	#396	C₂³	1	2	yes	—
706	#396	C₂³	1	2	yes	—
707	#395	C₂³	1	2	yes	—
708	#395	C₂³	1	2	yes	—
709	#395	C₂³	1	2	yes	—
710	#395	C₂³	1	2	yes	—
711	#395	C₂³	1	2	yes	—
712	#395	C₂³	1	2	yes	—
713	#395	C₂³	1	2	yes	—
714	#395	C₂³	1	2	yes	—
715	#395	C₂³	1	2	yes	—
716	#395	C₂³	1	2	yes	—
717	#395	C₂³	1	2	yes	—
718	#395	C₂³	1	2	yes	—
719	#395	C₂³	1	2	yes	—
720	#395	C₂³	1	2	yes	—
721	#395	C₂³	1	2	yes	—
722	#395	C₂³	1	2	yes	—
723	#395	C₂³	1	2	yes	—
724	#395	C₂³	1	2	yes	—
725	#395	C₂³	1	2	yes	—
726	#395	C₂³	1	2	yes	—
727	#395	C₂³	1	2	yes	—
728	#395	C₂³	1	2	yes	—
729	#395	C₂³	1	2	yes	—
730	#395	C₂³	1	2	yes	—
731	#395	C₂³	1	2	yes	—
732	#395	C₂³	1	2	yes	—
733	#395	C₂³	1	2	yes	—
734	#395	C₂³	1	2	yes	—
735	#395	C₂³	1	2	yes	—
736	#395	C₂³	1	2	yes	—
737	#395	C₂³	1	2	yes	—
738	#395	C₂³	1	2	yes	—
739	#395	C₂³	1	2	yes	—
740	#395	C₂³	1	2	yes	—
741	#395	C₂³	1	2	yes	—
742	#395	C₂³	1	2	yes	—
743	#395	C₂³	1	2	yes	—
744	#395	C₂³	1	2	yes	—
745	#395	C₂³	1	2	yes	—
746	#395	C₂³	1	2	yes	—
747	#395	C₂³	1	2	yes	—
748	#395	C₂³	1	2	yes	—
749	#395	C₂³	1	2	yes	—
750	#395	C₂³	1	2	yes	—
751	#395	C₂³	1	2	yes	—
752	#395	C₂³	1	2	yes	—
753	#393	C₂³	1	2	yes	—
754	#393	C₂³	1	2	yes	—
755	#393	C₂³	1	2	yes	—
756	#393	C₂³	1	2	yes	—
757	#393	C₂³	1	2	yes	—
758	#393	C₂³	1	2	yes	—
759	#393	C₂³	1	2	yes	—
760	#393	C₂³	1	2	yes	—
761	#393	C₂³	1	2	yes	—
762	#393	C₂³	1	2	yes	—
763	#391	C₂³	1	2	yes	—
764	#391	C₂³	1	2	yes	—
765	#391	C₂³	1	1	yes	characteristic
766	#391	C₂³	1	2	yes	—
767	#391	C₂³	1	2	yes	—
768	#391	C₂³	1	2	yes	—
769	#391	C₂³	1	2	yes	—
770	#391	C₂³	1	2	yes	—
771	#391	C₂³	1	2	yes	—
772	#391	C₂³	1	2	yes	—
773	#391	C₂³	1	1	yes	characteristic
774	#391	C₂³	1	2	yes	—
775	#391	C₂³	1	2	yes	—
776	#391	C₂³	1	2	yes	—
777	#391	C₂³	1	2	yes	—
778	#391	C₂³	1	2	yes	—
779	#391	C₂³	1	2	yes	—
780	#391	C₂³	1	2	yes	—
781	#391	C₂³	1	2	yes	—
782	#391	C₂³	1	2	yes	—
783	#391	C₂³	1	2	yes	—
784	#391	C₂³	1	2	yes	—
785	#391	C₂³	1	2	yes	—
786	#391	C₂³	1	2	yes	—
787	#391	C₂³	1	2	yes	—
788	#391	C₂³	1	2	yes	—
789	#391	C₂³	1	2	yes	—
790	#391	C₂³	1	2	yes	—
791	#391	C₂³	1	2	yes	—
792	#391	C₂³	1	2	yes	—
793	#391	C₂³	1	2	yes	—
794	#391	C₂³	1	2	yes	—
795	#391	C₂³	1	1	yes	characteristic
796	#391	C₂³	1	1	yes	characteristic
797	#391	C₂³	1	2	yes	—
798	#391	C₂³	1	2	yes	—
799	#391	C₂³	1	2	yes	—
800	#390	C₂³	1	2	yes	—
801	#390	C₂³	1	2	yes	—
802	#390	C₂³	1	2	yes	—
803	#390	C₂³	1	1	yes	characteristic
804	#390	C₂³	1	1	yes	characteristic
805	#390	C₂³	1	1	yes	characteristic
806	#390	C₂³	1	1	yes	characteristic
807	#389	C₂³	1	1	yes	characteristic
808	#389	C₂³	1	1	yes	characteristic
809	#389	C₂³	1	1	yes	characteristic
810	#389	C₂³	1	1	yes	characteristic
811	#389	C₂³	1	1	yes	characteristic
812	#389	C₂³	1	1	yes	characteristic
813	#389	C₂³	1	1	yes	characteristic
814	#389	C₂³	1	2	yes	—
815	#389	C₂³	1	1	yes	characteristic
816	#389	C₂³	1	2	yes	—
817	#389	C₂³	1	1	yes	characteristic
818	#389	C₂³	1	2	yes	—
819	#389	C₂³	1	2	yes	—
820	#389	C₂³	1	2	yes	—
821	#389	C₂³	1	2	yes	—
822	#389	C₂³	1	2	yes	—
823	#389	C₂³	1	2	yes	—
824	#389	C₂³	1	2	yes	—
825	#389	C₂³	1	1	yes	characteristic
826	#389	C₂³	1	1	yes	characteristic
827	#389	C₂³	1	1	yes	characteristic
828	#389	C₂³	1	1	yes	characteristic
829	#389	C₂³	1	1	yes	characteristic
830	#389	C₂³	1	1	yes	characteristic
831	#389	C₂³	1	2	yes	—
832	#389	C₂³	1	1	yes	characteristic
833	#389	C₂³	1	1	yes	characteristic
834	#389	C₂³	1	1	yes	characteristic
835	#389	C₂³	1	2	yes	—
836	#389	C₂³	1	1	yes	characteristic
837	#389	C₂³	1	1	yes	characteristic
838	#389	C₂³	1	1	yes	characteristic
839	#389	C₂³	1	1	yes	characteristic
840	#389	C₂³	1	1	yes	characteristic
841	#389	C₂³	1	1	yes	characteristic
842	#389	C₂³	1	2	yes	—
843	#389	C₂³	1	1	yes	characteristic
844	#389	C₂³	1	2	yes	—
845	#389	C₂³	1	1	yes	characteristic
846	#389	C₂³	1	2	yes	—
847	#389	C₂³	1	1	yes	characteristic
848	#389	C₂³	1	1	yes	characteristic
849	#389	C₂³	1	2	yes	—
850	#389	C₂³	1	2	yes	—
851	#389	C₂³	1	2	yes	—
852	#389	C₂³	1	1	yes	characteristic
853	#389	C₂³	1	1	yes	characteristic
854	#389	C₂³	1	2	yes	—
855	#389	C₂³	1	2	yes	—
856	#389	C₂³	1	1	yes	characteristic
857	#389	C₂³	1	2	yes	—
858	#389	C₂³	1	2	yes	—
859	#389	C₂³	1	2	yes	—
860	#389	C₂³	1	2	yes	—
861	#389	C₂³	1	2	yes	—
862	#389	C₂³	1	2	yes	—
863	#389	C₂³	1	2	yes	—
864	#389	C₂³	1	2	yes	—
865	#389	C₂³	1	2	yes	—
866	#389	C₂³	1	2	yes	—
867	#389	C₂³	1	2	yes	—
868	#389	C₂³	1	2	yes	—
869	#389	C₂³	1	2	yes	—
870	#389	C₂³	1	2	yes	—
871	#389	C₂³	1	2	yes	—
872	#389	C₂³	1	2	yes	—
873	#389	C₂³	1	2	yes	—
874	#389	C₂³	1	2	yes	—
875	#389	C₂³	1	2	yes	—
876	#389	C₂³	1	2	yes	—
877	#389	C₂³	1	2	yes	—
878	#389	C₂³	1	2	yes	—
879	#389	C₂³	1	2	yes	—
880	#389	C₂³	1	2	yes	—
881	#389	C₂³	1	2	yes	—
882	#389	C₂³	1	2	yes	—
883	#389	C₂³	1	2	yes	—
884	#389	C₂³	1	1	yes	characteristic
885	#389	C₂³	1	2	yes	—
886	#389	C₂³	1	2	yes	—
887	#389	C₂³	1	2	yes	—
888	#389	C₂³	1	2	yes	—
889	#389	C₂³	1	2	yes	—
890	#389	C₂³	1	2	yes	—
891	#389	C₂³	1	2	yes	—
892	#389	C₂³	1	2	yes	—
893	#389	C₂³	1	2	yes	—
894	#389	C₂³	1	2	yes	—
895	#389	C₂³	1	2	yes	—
896	#389	C₂³	1	2	yes	—
897	#389	C₂³	1	2	yes	—
898	#389	C₂³	1	2	yes	—
899	#389	C₂³	1	2	yes	—
900	#389	C₂³	1	1	yes	characteristic
901	#389	C₂³	1	1	yes	characteristic
902	#389	C₂³	1	1	yes	characteristic
903	#389	C₂³	1	1	yes	characteristic
904	#389	C₂³	1	1	yes	characteristic
905	#389	C₂³	1	1	yes	characteristic
906	#389	C₂³	1	1	yes	characteristic
907	#389	C₂³	1	1	yes	characteristic
908	#389	C₂³	1	1	yes	characteristic
909	#389	C₂³	1	1	yes	characteristic
910	#389	C₂³	1	1	yes	characteristic
911	#389	C₂³	1	1	yes	characteristic
912	#389	C₂³	1	1	yes	characteristic
913	#389	C₂³	1	1	yes	characteristic
914	#389	C₂³	1	1	yes	characteristic
915	#389	C₂³	1	1	yes	characteristic
916	#389	C₂³	1	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	#388	C₂³	1	2	yes	—
924	#388	C₂³	1	2	yes	—
925	#388	C₂³	1	2	yes	—
926	#388	C₂³	1	2	yes	—
927	#388	C₂³	1	2	yes	—
928	#388	C₂³	1	2	yes	—
929	#388	C₂³	1	2	yes	—
930	#388	C₂³	1	2	yes	—
931	#388	C₂³	1	1	yes	characteristic
932	#388	C₂³	1	1	yes	characteristic
933	#388	C₂³	1	1	yes	characteristic
934	#388	C₂³	1	1	yes	characteristic
935	#388	C₂³	1	2	yes	—
936	#388	C₂³	1	2	yes	—
937	#388	C₂³	1	2	yes	—
938	#388	C₂³	1	1	yes	characteristic
939	#388	C₂³	1	1	yes	characteristic
940	#388	C₂³	1	2	yes	—
941	#388	C₂³	1	2	yes	—
942	#388	C₂³	1	1	yes	characteristic
943	#388	C₂³	1	1	yes	characteristic
944	#388	C₂³	1	1	yes	characteristic
945	#388	C₂³	1	1	yes	characteristic
946	#388	C₂³	1	2	yes	—
947	#388	C₂³	1	2	yes	—
948	#388	C₂³	1	2	yes	—
949	#388	C₂³	1	2	yes	—
950	#388	C₂³	1	2	yes	—
951	#388	C₂³	1	2	yes	—
952	#388	C₂³	1	2	yes	—
953	#388	C₂³	1	1	yes	characteristic
954	#388	C₂³	1	1	yes	characteristic
955	#388	C₂³	1	1	yes	characteristic
956	#388	C₂³	1	1	yes	characteristic
957	#388	C₂³	1	1	yes	characteristic
958	#388	C₂³	1	1	yes	characteristic
959	#388	C₂³	1	1	yes	characteristic
960	#388	C₂³	1	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	1	yes	characteristic
966	#388	C₂³	1	1	yes	characteristic
967	#387	C₂³	1	2	yes	—
968	#387	C₂³	1	2	yes	—
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	2	yes	—
989	#387	C₂³	1	2	yes	—
990	#387	C₂³	1	2	yes	—
991	#387	C₂³	1	2	yes	—
992	#387	C₂³	1	2	yes	—
993	#387	C₂³	1	2	yes	—
994	#387	C₂³	1	2	yes	—
995	#387	C₂³	1	2	yes	—
996	#387	C₂³	1	2	yes	—
997	#387	C₂³	1	2	yes	—
998	#387	C₂³	1	2	yes	—
999	#387	C₂³	1	2	yes	—
1000	#387	C₂³	1	2	yes	—
1001	#387	C₂³	1	2	yes	—
1002	#387	C₂³	1	2	yes	—
1003	#387	C₂³	1	2	yes	—
1004	#387	C₂³	1	2	yes	—
1005	#387	C₂³	1	2	yes	—
1006	#387	C₂³	1	2	yes	—
1007	#387	C₂³	1	2	yes	—
1008	#387	C₂³	1	2	yes	—
1009	#387	C₂³	1	1	yes	characteristic
1010	#387	C₂³	1	1	yes	characteristic
1011	#387	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
1029	#387	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
1036	#387	C₂³	1	1	yes	characteristic
1037	#387	C₂³	1	2	yes	—
1038	#387	C₂³	1	2	yes	—
1039	#387	C₂³	1	2	yes	—
1040	#387	C₂³	1	2	yes	—
1041	#387	C₂³	1	2	yes	—
1042	#387	C₂³	1	2	yes	—
1043	#387	C₂³	1	2	yes	—
1044	#387	C₂³	1	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	2	yes	—
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	1	yes	characteristic
1061	#387	C₂³	1	1	yes	characteristic
1062	#387	C₂³	1	1	yes	characteristic
1063	#387	C₂³	1	1	yes	characteristic
1064	#387	C₂³	1	1	yes	characteristic
1065	#387	C₂³	1	1	yes	characteristic
1066	#387	C₂³	1	1	yes	characteristic
1067	#387	C₂³	1	1	yes	characteristic
1068	#387	C₂³	1	1	yes	characteristic
1069	#387	C₂³	1	1	yes	characteristic
1070	#387	C₂³	1	1	yes	characteristic
1071	#386	C₂³	1	2	yes	—
1072	#386	C₂³	1	2	yes	—
1073	#386	C₂³	1	2	yes	—
1074	#386	C₂³	1	2	yes	—
1075	#386	C₂³	1	2	yes	—
1076	#386	C₂³	1	2	yes	—
1077	#386	C₂³	1	1	yes	characteristic
1078	#386	C₂³	1	1	yes	characteristic
1079	#386	C₂³	1	1	yes	characteristic
1080	#386	C₂³	1	1	yes	characteristic
1081	#386	C₂³	1	1	yes	characteristic
1082	#386	C₂³	1	1	yes	characteristic
1083	#386	C₂³	1	1	yes	characteristic
1084	#386	C₂³	1	1	yes	characteristic
1085	#385	C₂³	1	2	yes	—
1086	#385	C₂³	1	2	yes	—
1087	#385	C₂³	1	2	yes	—
1088	#385	C₂³	1	2	yes	—
1089	#385	C₂³	1	2	yes	—
1090	#385	C₂³	1	2	yes	—
1091	#385	C₂³	1	2	yes	—
1092	#385	C₂³	1	2	yes	—
1093	#385	C₂³	1	2	yes	—
1094	#385	C₂³	1	2	yes	—
1095	#385	C₂³	1	2	yes	—
1096	#385	C₂³	1	2	yes	—
1097	#385	C₂³	1	1	yes	characteristic
1098	#385	C₂³	1	1	yes	characteristic
1099	#385	C₂³	1	1	yes	characteristic
1100	#385	C₂³	1	1	yes	characteristic
1101	#385	C₂³	1	2	yes	—
1102	#385	C₂³	1	2	yes	—
1103	#385	C₂³	1	2	yes	—
1104	#385	C₂³	1	2	yes	—
1105	#385	C₂³	1	2	yes	—
1106	#385	C₂³	1	2	yes	—
1107	#385	C₂³	1	2	yes	—
1108	#385	C₂³	1	2	yes	—
1109	#385	C₂³	1	2	yes	—
1110	#385	C₂³	1	2	yes	—
1111	#385	C₂³	1	2	yes	—
1112	#385	C₂³	1	2	yes	—
1113	#385	C₂³	1	2	yes	—
1114	#385	C₂³	1	2	yes	—
1115	#385	C₂³	1	2	yes	—
1116	#385	C₂³	1	2	yes	—
1117	#385	C₂³	1	2	yes	—
1118	#385	C₂³	1	2	yes	—
1119	#385	C₂³	1	2	yes	—
1120	#385	C₂³	1	2	yes	—
1121	#385	C₂³	1	1	yes	characteristic
1122	#385	C₂³	1	1	yes	characteristic
1123	#385	C₂³	1	1	yes	characteristic
1124	#385	C₂³	1	1	yes	characteristic
1125	#385	C₂³	1	1	yes	characteristic
1126	#385	C₂³	1	1	yes	characteristic
1127	#385	C₂³	1	1	yes	characteristic
1128	#385	C₂³	1	1	yes	characteristic
1129	#385	C₂³	1	1	yes	characteristic
1130	#385	C₂³	1	1	yes	characteristic
1131	#385	C₂³	1	1	yes	characteristic
1132	#385	C₂³	1	1	yes	characteristic
1133	#385	C₂³	1	2	yes	—
1134	#385	C₂³	1	2	yes	—
1135	#384	C₂³	1	1	yes	characteristic
1136	#384	C₂³	1	1	yes	characteristic
1137	#384	C₂³	1	2	yes	—
1138	#384	C₂³	1	2	yes	—
1139	#384	C₂³	1	2	yes	—
1140	#384	C₂³	1	2	yes	—
1141	#384	C₂³	1	1	yes	characteristic
1142	#384	C₂³	1	1	yes	characteristic
1143	#384	C₂³	1	1	yes	characteristic
1144	#384	C₂³	1	1	yes	characteristic
1145	#384	C₂³	1	1	yes	characteristic
1146	#384	C₂³	1	1	yes	characteristic
1147	#384	C₂³	1	1	yes	characteristic
1148	#384	C₂³	1	2	yes	—
1149	#384	C₂³	1	1	yes	characteristic
1150	#384	C₂³	1	1	yes	characteristic
1151	#384	C₂³	1	1	yes	characteristic
1152	#384	C₂³	1	2	yes	—
1153	#384	C₂³	1	2	yes	—
1154	#384	C₂³	1	2	yes	—
1155	#384	C₂³	1	1	yes	characteristic
1156	#384	C₂³	1	2	yes	—
1157	#384	C₂³	1	2	yes	—
1158	#384	C₂³	1	1	yes	characteristic
1159	#384	C₂³	1	2	yes	—
1160	#384	C₂³	1	1	yes	characteristic
1161	#384	C₂³	1	1	yes	characteristic
1162	#384	C₂³	1	2	yes	—
1163	#383	C₂³	1	2	yes	—
1164	#383	C₂³	1	1	yes	characteristic
1165	#383	C₂³	1	1	yes	characteristic
1166	#382	C₂³	1	1	yes	characteristic
1167	#382	C₂³	1	1	yes	characteristic
1168	#382	C₂³	1	1	yes	characteristic
1169	#382	C₂³	1	1	yes	characteristic
1170	#382	C₂³	1	1	yes	characteristic
1171	#382	C₂³	1	1	yes	characteristic
1172	#382	C₂³	1	1	yes	characteristic
1173	#382	C₂³	1	1	yes	characteristic
1174	#382	C₂³	1	2	yes	—
1175	#382	C₂³	1	1	yes	characteristic
1176	#382	C₂³	1	1	yes	characteristic
1177	#382	C₂³	1	2	yes	—
1178	#382	C₂³	1	1	yes	characteristic
1179	#382	C₂³	1	2	yes	—
1180	#382	C₂³	1	2	yes	—
1181	#382	C₂³	1	1	yes	characteristic
1182	#382	C₂³	1	1	yes	characteristic
1183	#382	C₂³	1	2	yes	—
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	#381	C₂³	1	2	yes	—
1190	#381	C₂³	1	1	yes	characteristic
1191	#381	C₂³	1	1	yes	characteristic
1192	#380	C₂³	1	1	yes	characteristic
1193	#380	C₂³	1	2	yes	—
1194	#380	C₂³	1	2	yes	—
1195	#380	C₂³	1	1	yes	characteristic
1196	#380	C₂³	1	1	yes	characteristic
1197	#380	C₂³	1	1	yes	characteristic
1198	#380	C₂³	1	1	yes	characteristic
1199	#380	C₂³	1	1	yes	characteristic
1200	#380	C₂³	1	1	yes	characteristic
1201	#380	C₂³	1	1	yes	characteristic
1202	#380	C₂³	1	1	yes	characteristic
1203	#380	C₂³	1	2	yes	—
1204	#380	C₂³	1	2	yes	—
1205	#380	C₂³	1	2	yes	—
1206	#380	C₂³	1	2	yes	—
1207	#380	C₂³	1	2	yes	—
1208	#380	C₂³	1	2	yes	—
1209	#380	C₂³	1	2	yes	—
1210	#380	C₂³	1	1	yes	characteristic
1211	#380	C₂³	1	1	yes	characteristic
1212	#380	C₂³	1	2	yes	—
1213	#380	C₂³	1	2	yes	—
1214	#380	C₂³	1	2	yes	—
1215	#380	C₂³	1	2	yes	—
1216	#380	C₂³	1	1	yes	characteristic
1217	#380	C₂³	1	1	yes	characteristic
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	#380	C₂³	1	1	yes	characteristic
1223	#380	C₂³	1	2	yes	—
1224	#380	C₂³	1	2	yes	—
1225	C₄×C₄⋊C₄	C₂³	1	2	yes	—
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	2	yes	—
1233	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1234	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1235	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1236	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1237	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1238	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1239	C₄×C₄⋊C₄	C₂³	1	2	yes	—
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	2	yes	—
1246	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1247	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1248	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1249	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1250	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1251	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1252	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1253	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1254	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1255	C₄×C₄⋊C₄	C₂³	1	2	yes	—
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	1	yes	characteristic
1260	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1261	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1262	C₄×C₄⋊C₄	C₂³	1	2	yes	—
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	1	yes	characteristic
1275	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1276	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
1277	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
1278	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
1279	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
1280	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
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	1	yes	characteristic
1288	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
1289	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
1290	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
1291	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
1292	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
1293	#376	C₂³	1	1	yes	characteristic
1294	#376	C₂³	1	1	yes	characteristic
1295	#376	C₂³	1	1	yes	characteristic
1296	#376	C₂³	1	1	yes	characteristic
1297	#376	C₂³	1	2	yes	—
1298	C₂×#95	C₂³	1	2	yes	—
1299	C₄³	C₂³	1	1	yes	characteristic
1300	C₄³	C₂³	1	1	yes	characteristic
1301	C₂²×Q₈	—	4	4	no	—
1302	C₂²×Q₈	—	8	2	no	—
1303	C₂²×Q₈	—	8	2	no	—
1304	C₂²×Q₈	C₂⁴	1	2	yes	—
1305	C₂²×Q₈	C₂⁴	1	2	yes	—
1306	C₂²×Q₈	C₂⁴	1	2	yes	—
1307	C₂²×Q₈	C₂⁴	1	2	yes	—
1308	C₂²×Q₈	C₂⁴	1	2	yes	—
1309	C₂²×Q₈	C₂⁴	1	2	yes	—
1310	C₂²×Q₈	C₂⁴	1	2	yes	—
1311	C₂²×Q₈	C₂⁴	1	2	yes	—
1312	C₂²×Q₈	C₂⁴	1	2	yes	—
1313	C₂²×Q₈	C₂⁴	1	2	yes	—
1314	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
1315	C₂²×D₄	C₂⁴	1	1	yes	characteristic
1316	C₂²×D₄	C₂⁴	1	1	yes	characteristic
1317	C₂²×D₄	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	2	yes	—
1322	C₂³×C₄	C₂⁴	1	2	yes	—
1323	C₂³×C₄	C₂⁴	1	2	yes	—
1324	C₂³×C₄	C₂⁴	1	2	yes	—
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	1	yes	characteristic
1329	C₂³×C₄	C₂⁴	1	1	yes	characteristic
1330	C₂³×C₄	C₂⁴	1	1	yes	characteristic
1331	C₂³×C₄	C₂⁴	1	1	yes	characteristic
1332	C₂³×C₄	C₂⁴	1	1	yes	characteristic
1333	C₄⋊Q₈	—	2	4	no	—
1334	C₄⋊Q₈	—	2	4	no	—
1335	C₄⋊Q₈	—	2	4	no	—
1336	C₄⋊Q₈	—	2	4	no	—
1337	C₄⋊Q₈	—	4	2	no	—
1338	C₄⋊Q₈	—	4	2	no	—
1339	C₄⋊Q₈	—	4	2	no	—
1340	C₄⋊Q₈	—	4	2	no	—
1341	C₄⋊Q₈	—	4	2	no	—
1342	C₄⋊Q₈	—	4	2	no	—
1343	C₄⋊Q₈	—	4	4	no	—
1344	C₄⋊Q₈	—	4	4	no	—
1345	C₄⋊Q₈	—	4	4	no	—
1346	C₄⋊Q₈	—	4	4	no	—
1347	C₄⋊Q₈	—	4	4	no	—
1348	C₄⋊Q₈	—	4	4	no	—
1349	C₄⋊Q₈	—	8	2	no	—
1350	C₄⋊Q₈	—	8	2	no	—
1351	C₄⋊Q₈	—	8	2	no	—
1352	C₄⋊Q₈	—	8	2	no	—
1353	C₄⋊Q₈	—	8	2	no	—
1354	C₄⋊Q₈	—	8	2	no	—
1355	C₄⋊Q₈	—	8	2	no	—
1356	C₄⋊Q₈	—	8	2	no	—
1357	C₄⋊Q₈	—	8	2	no	—
1358	C₄⋊Q₈	—	8	2	no	—
1359	#126	C₂×Q₈	1	8	yes	—
1360	#126	C₂×Q₈	1	8	yes	complemented
1361	#125	—	2	4	no	—
1362	#125	—	2	4	no	—
1363	#125	—	2	4	no	—
1364	#125	—	2	4	no	—
1365	#125	—	4	2	no	—
1366	#125	—	4	2	no	—
1367	#125	—	4	2	no	—
1368	#125	—	4	2	no	—
1369	#125	—	4	2	no	—
1370	#125	—	4	2	no	—
1371	#125	—	4	4	no	—
1372	#125	—	4	4	no	—
1373	#125	—	4	4	no	—
1374	#125	—	4	4	no	—
1375	#125	—	4	4	no	—
1376	#125	—	4	4	no	—
1377	#125	—	8	2	no	—
1378	#125	—	8	2	no	—
1379	#125	C₂×Q₈	1	8	yes	complemented
1380	#124	C₂×Q₈	1	8	yes	—
1381	#123	C₂×Q₈	1	8	yes	—
1382	#123	C₂×Q₈	1	8	yes	complemented
1383	C₂²⋊Q₈	—	4	4	no	—
1384	C₂²⋊Q₈	—	4	4	no	—
1385	C₂²⋊Q₈	—	4	4	no	—
1386	C₂²⋊Q₈	—	4	4	no	—
1387	C₂²⋊Q₈	—	4	4	no	—
1388	C₂²⋊Q₈	—	4	4	no	—
1389	C₂²⋊Q₈	—	4	4	no	—
1390	C₂²⋊Q₈	—	4	4	no	—
1391	C₂²⋊Q₈	—	8	2	no	—
1392	C₂²⋊Q₈	—	8	2	no	—
1393	C₂²⋊Q₈	—	8	2	no	—
1394	C₂²⋊Q₈	—	8	2	no	—
1395	C₂²⋊Q₈	—	8	2	no	—
1396	C₂²⋊Q₈	—	8	2	no	—
1397	C₂²⋊Q₈	—	8	2	no	—
1398	C₂²⋊Q₈	—	8	2	no	—
1399	C₂²⋊Q₈	C₂×Q₈	1	8	yes	complemented
1400	#121	C₂×Q₈	1	8	yes	—
1401	C₄×Q₈	—	8	2	no	—
1402	C₄×Q₈	—	8	2	no	—
1403	C₄×Q₈	—	8	2	no	—
1404	C₄×Q₈	C₂×Q₈	1	8	yes	complemented
1405	C₄×D₄	—	8	2	no	—
1406	C₄×D₄	—	8	2	no	—
1407	C₄×D₄	—	8	2	no	—
1408	C₄×D₄	C₂×Q₈	1	8	yes	—
1409	C₄×D₄	C₂×Q₈	1	8	yes	—
1410	C₄×D₄	C₂×Q₈	1	8	yes	complemented
1411	#117	—	2	4	no	—
1412	#117	—	2	4	no	—
1413	#117	—	4	2	no	—
1414	#117	—	4	2	no	—
1415	#117	—	4	2	no	—
1416	#117	—	4	2	no	—
1417	#117	—	4	2	no	—
1418	#117	—	4	2	no	—
1419	#117	—	4	2	no	—
1420	#117	—	4	2	no	—
1421	#117	—	8	2	no	—
1422	#117	C₂×Q₈	1	8	yes	—
1423	#117	C₂×Q₈	1	8	yes	complemented
1424	C₂×C₄⋊C₄	—	2	4	no	—
1425	C₂×C₄⋊C₄	—	2	4	no	—
1426	C₂×C₄⋊C₄	—	2	4	no	—
1427	C₂×C₄⋊C₄	—	2	4	no	—
1428	C₂×C₄⋊C₄	—	4	2	no	—
1429	C₂×C₄⋊C₄	—	4	4	no	—
1430	C₂×C₄⋊C₄	—	4	4	no	—
1431	C₂×C₄⋊C₄	—	4	2	no	—
1432	C₂×C₄⋊C₄	—	4	4	no	—
1433	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1434	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1435	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1436	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
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	1	yes	characteristic
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	1	yes	characteristic
1448	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1449	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1450	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
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	2	yes	—
1456	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1457	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1458	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1459	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1460	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1461	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1462	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1463	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1464	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1465	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1466	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1467	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1468	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1469	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1470	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1471	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1472	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1473	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1474	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1475	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1476	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1477	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1478	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1479	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1480	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
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	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	2	yes	—
1502	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1503	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1504	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1505	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1506	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1507	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1508	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1509	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1510	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1511	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1512	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1513	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1514	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1515	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1516	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1517	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1518	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1519	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1520	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1521	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1522	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1523	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1524	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1525	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1526	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1527	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1528	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1529	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1530	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1531	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1532	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1533	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1534	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1535	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1536	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1537	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1538	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1539	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1540	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1541	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1542	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1543	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1544	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1545	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1546	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1547	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1548	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1549	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1550	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1551	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1552	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1553	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1554	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1555	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1556	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1557	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1558	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1559	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1560	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1561	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1562	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1563	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1564	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1565	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1566	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1567	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1568	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1569	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1570	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1571	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1572	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1573	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1574	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1575	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1576	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1577	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1578	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1579	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1580	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1581	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1582	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1583	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1584	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1585	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1586	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1587	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1588	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1589	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1590	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1591	C₂×C₂²⋊C₄	C₂⁴	1	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	2	yes	—
1596	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1597	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1598	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1599	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1600	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1601	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1602	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1603	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1604	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1605	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1606	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1607	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1608	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1609	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1610	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1611	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1612	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1613	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1614	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1615	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1616	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1617	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1618	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1619	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1620	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1621	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1622	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1623	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1624	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1625	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1626	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1627	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1628	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1629	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1630	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1631	C₂×C₄²	—	4	2	no	—
1632	C₂×C₄²	—	4	2	no	—
1633	C₂×C₄²	—	8	2	no	—
1634	C₂×C₄²	C₂×Q₈	1	8	yes	complemented
1635	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1636	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1637	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1638	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1639	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1640	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1641	C₂×C₄²	C₂⁴	1	2	yes	—
1642	C₂×C₄²	C₂⁴	1	2	yes	—
1643	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1644	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1645	C₂×C₄²	C₂⁴	1	2	yes	—
1646	C₂×C₄²	C₂⁴	1	2	yes	—
1647	C₂×C₄²	C₂⁴	1	2	yes	—
1648	C₂×C₄²	C₂⁴	1	2	yes	—
1649	C₂×C₄²	C₂⁴	1	2	yes	—
1650	C₂×C₄²	C₂⁴	1	2	yes	—
1651	C₂×C₄²	C₂⁴	1	2	yes	—
1652	C₂×C₄²	C₂⁴	1	2	yes	—
1653	C₂×C₄²	C₂⁴	1	2	yes	—
1654	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1655	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1656	C₂×C₄²	C₂⁴	1	2	yes	—
1657	C₂×C₄²	C₂⁴	1	2	yes	—
1658	C₂×C₄²	C₂⁴	1	2	yes	—
1659	C₂×C₄²	C₂⁴	1	2	yes	—
1660	C₂×C₄²	C₂⁴	1	2	yes	—
1661	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1662	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1663	C₂×C₄²	C₂⁴	1	2	yes	—
1664	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1665	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1666	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1667	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1668	C₂×C₄²	C₂⁴	1	2	yes	—
1669	C₂×C₄²	C₂⁴	1	2	yes	—
1670	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1671	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1672	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1673	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1674	C₂×C₄²	C₂⁴	1	2	yes	—
1675	C₂×C₄²	C₂⁴	1	2	yes	—
1676	C₂×C₄²	C₂⁴	1	2	yes	—
1677	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1678	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1679	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1680	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1681	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1682	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1683	#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	2	yes	—
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	2	yes	—
1694	#95	C₂⁴	1	1	yes	characteristic
1695	#95	C₂⁴	1	1	yes	characteristic
1696	#95	C₂⁴	1	1	yes	characteristic
1697	#95	C₂⁴	1	1	yes	characteristic
1698	#95	C₂⁴	1	2	yes	—
1699	#95	C₂⁴	1	1	yes	characteristic
1700	#95	C₂⁴	1	1	yes	characteristic
1701	#95	C₂⁴	1	1	yes	characteristic
1702	#95	C₂⁴	1	1	yes	characteristic
1703	#95	C₂⁴	1	1	yes	characteristic
1704	#95	C₂⁴	1	1	yes	characteristic
1705	#95	C₂⁴	1	1	yes	characteristic
1706	#95	C₂⁴	1	1	yes	characteristic
1707	#95	C₂⁴	1	2	yes	—
1708	#95	C₂⁴	1	2	yes	—
1709	#95	C₂⁴	1	2	yes	—
1710	#95	C₂⁴	1	2	yes	—
1711	#95	C₂⁴	1	2	yes	—
1712	#95	C₂⁴	1	2	yes	—
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	2	yes	—
1718	#95	C₂⁴	1	2	yes	—
1719	#95	C₂⁴	1	2	yes	—
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	2	yes	—
1727	#95	C₂⁴	1	2	yes	—
1728	#95	C₂⁴	1	2	yes	—
1729	#95	C₂⁴	1	1	yes	characteristic
1730	#95	C₂⁴	1	1	yes	characteristic
1731	#95	C₂⁴	1	1	yes	characteristic
1732	#95	C₂⁴	1	1	yes	characteristic
1733	#95	C₂⁴	1	1	yes	characteristic
1734	#95	C₂⁴	1	1	yes	characteristic
1735	#95	C₂⁴	1	1	yes	characteristic
1736	#95	C₂⁴	1	1	yes	characteristic
1737	#95	C₂⁴	1	2	yes	—
1738	#95	C₂⁴	1	1	yes	characteristic
1739	#95	C₂⁴	1	1	yes	characteristic
1740	#95	C₂⁴	1	2	yes	—
1741	#95	C₂⁴	1	1	yes	characteristic
1742	#95	C₂⁴	1	1	yes	characteristic
1743	#95	C₂⁴	1	2	yes	—
1744	#95	C₂⁴	1	2	yes	—
1745	#95	C₂⁴	1	2	yes	—
1746	#95	C₂⁴	1	2	yes	—
1747	#95	C₂⁴	1	1	yes	characteristic
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	1	yes	characteristic
1753	#95	C₂⁴	1	2	yes	—
1754	#95	C₂⁴	1	2	yes	—
1755	#95	C₂⁴	1	2	yes	—
1756	#95	C₂⁴	1	2	yes	—
1757	#95	C₂⁴	1	2	yes	—
1758	#95	C₂⁴	1	2	yes	—
1759	#95	C₂⁴	1	2	yes	—
1760	#95	C₂⁴	1	1	yes	characteristic
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	1	yes	characteristic
1766	#95	C₂⁴	1	2	yes	—
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	2	yes	—
1776	#95	C₂⁴	1	2	yes	—
1777	#95	C₂⁴	1	2	yes	—
1778	#95	C₂⁴	1	2	yes	—
1779	#95	C₂⁴	1	1	yes	characteristic
1780	#95	C₂⁴	1	1	yes	characteristic
1781	#95	C₂⁴	1	1	yes	characteristic
1782	#95	C₂⁴	1	1	yes	characteristic
1783	#95	C₂⁴	1	1	yes	characteristic
1784	#95	C₂⁴	1	1	yes	characteristic
1785	#95	C₂⁴	1	1	yes	characteristic
1786	#95	C₂⁴	1	1	yes	characteristic
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	#95	C₂⁴	1	2	yes	—
1811	#95	C₂⁴	1	2	yes	—
1812	#95	C₂⁴	1	2	yes	—
1813	#95	C₂⁴	1	2	yes	—
1814	#95	C₂⁴	1	2	yes	—
1815	#95	C₂⁴	1	2	yes	—
1816	#95	C₂⁴	1	2	yes	—
1817	#95	C₂⁴	1	2	yes	—
1818	#95	C₂⁴	1	2	yes	—
1819	C₂⁴	C₂⁵	1	1	yes	characteristic
1820	C₂⁴	C₂⁵	1	1	yes	characteristic
1821	C₂⁴	C₂⁵	1	1	yes	characteristic
1822	C₂×Q₈	—	2	4	no	—
1823	C₂×Q₈	—	2	4	no	—
1824	C₂×Q₈	—	2	4	no	—
1825	C₂×Q₈	—	2	4	no	—
1826	C₂×Q₈	—	4	1	no	—
1827	C₂×Q₈	—	4	1	no	—
1828	C₂×Q₈	—	4	2	no	—
1829	C₂×Q₈	—	4	2	no	—
1830	C₂×Q₈	—	4	2	no	—
1831	C₂×Q₈	—	4	2	no	—
1832	C₂×Q₈	—	4	2	no	—
1833	C₂×Q₈	—	4	2	no	—
1834	C₂×Q₈	—	4	2	no	—
1835	C₂×Q₈	—	4	2	no	—
1836	C₂×Q₈	—	4	2	no	—
1837	C₂×Q₈	—	4	2	no	—
1838	C₂×Q₈	—	4	2	no	—
1839	C₂×Q₈	—	4	2	no	—
1840	C₂×Q₈	—	4	2	no	—
1841	C₂×Q₈	—	4	2	no	—
1842	C₂×Q₈	—	4	2	no	—
1843	C₂×Q₈	—	4	2	no	—
1844	C₂×Q₈	—	4	2	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	2	no	—
1852	C₂×Q₈	—	4	2	no	—
1853	C₂×Q₈	—	4	2	no	—
1854	C₂×Q₈	—	8	16	no	—
1855	C₂×Q₈	C₂²×Q₈	1	4	yes	—
1856	C₂×D₄	—	4	1	no	—
1857	C₂×D₄	—	4	1	no	—
1858	C₂×D₄	—	4	1	no	—
1859	C₂×D₄	—	4	1	no	—
1860	C₂×D₄	—	4	1	no	—
1861	C₂×D₄	—	4	1	no	—
1862	C₂×D₄	C₂²×Q₈	1	4	yes	—
1863	C₂×D₄	C₂²×Q₈	1	4	yes	—
1864	C₂×D₄	C₂²×Q₈	1	4	yes	—
1865	C₂²×C₄	—	2	2	no	—
1866	C₂²×C₄	—	2	2	no	—
1867	C₂²×C₄	—	2	2	no	—
1868	C₂²×C₄	—	2	2	no	—
1869	C₂²×C₄	—	2	2	no	—
1870	C₂²×C₄	—	2	2	no	—
1871	C₂²×C₄	—	2	4	no	—
1872	C₂²×C₄	—	2	4	no	—
1873	C₂²×C₄	—	2	4	no	—
1874	C₂²×C₄	—	2	4	no	—
1875	C₂²×C₄	—	4	1	no	—
1876	C₂²×C₄	—	4	1	no	—
1877	C₂²×C₄	—	4	1	no	—
1878	C₂²×C₄	—	4	1	no	—
1879	C₂²×C₄	—	4	1	no	—
1880	C₂²×C₄	—	4	1	no	—
1881	C₂²×C₄	—	4	1	no	—
1882	C₂²×C₄	—	4	1	no	—
1883	C₂²×C₄	—	4	1	no	—
1884	C₂²×C₄	—	4	1	no	—
1885	C₂²×C₄	—	4	1	no	—
1886	C₂²×C₄	—	4	1	no	—
1887	C₂²×C₄	—	4	2	no	—
1888	C₂²×C₄	—	4	2	no	—
1889	C₂²×C₄	—	4	2	no	—
1890	C₂²×C₄	—	4	2	no	—
1891	C₂²×C₄	—	4	2	no	—
1892	C₂²×C₄	—	4	2	no	—
1893	C₂²×C₄	—	4	2	no	—
1894	C₂²×C₄	—	4	2	no	—
1895	C₂²×C₄	—	4	2	no	—
1896	C₂²×C₄	—	4	1	no	—
1897	C₂²×C₄	—	4	1	no	—
1898	C₂²×C₄	—	4	2	no	—
1899	C₂²×C₄	—	4	2	no	—
1900	C₂²×C₄	—	4	2	no	—
1901	C₂²×C₄	—	4	2	no	—
1902	C₂²×C₄	—	4	2	no	—
1903	C₂²×C₄	—	4	1	no	—
1904	C₂²×C₄	—	4	1	no	—
1905	C₂²×C₄	C₂²×Q₈	1	4	yes	—
1906	C₂²×C₄	C₂²×Q₈	1	4	yes	—
1907	C₂²×C₄	C₂²×Q₈	1	4	yes	—
1908	C₂²×C₄	C₂²×Q₈	1	4	yes	—
1909	C₂²×C₄	C₂²×Q₈	1	4	yes	—
1910	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1911	C₂²×C₄	C₂⁵	1	2	yes	—
1912	C₂²×C₄	C₂⁵	1	2	yes	—
1913	C₂²×C₄	C₂⁵	1	2	yes	—
1914	C₂²×C₄	C₂⁵	1	2	yes	—
1915	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1916	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1917	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1918	C₂²×C₄	C₂⁵	1	2	yes	—
1919	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1920	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1921	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1922	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1923	C₂²×C₄	C₂⁵	1	2	yes	—
1924	C₂²×C₄	C₂⁵	1	2	yes	—
1925	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1926	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1927	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1928	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1929	C₂²×C₄	C₂⁵	1	2	yes	—
1930	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1931	C₂²×C₄	C₂⁵	1	2	yes	—
1932	C₂²×C₄	C₂⁵	1	2	yes	—
1933	C₂²×C₄	C₂⁵	1	2	yes	—
1934	C₂²×C₄	C₂⁵	1	2	yes	—
1935	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1936	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1937	C₂²×C₄	C₂⁵	1	2	yes	—
1938	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1939	C₂²×C₄	C₂⁵	1	2	yes	—
1940	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1941	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1942	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1943	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1944	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1945	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1946	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1947	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1948	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1949	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1950	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1951	C₂²×C₄	C₂⁵	1	2	yes	—
1952	C₂²×C₄	C₂⁵	1	2	yes	—
1953	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1954	C₄⋊C₄	—	2	4	no	—
1955	C₄⋊C₄	—	2	2	no	—
1956	C₄⋊C₄	—	2	4	no	—
1957	C₄⋊C₄	—	2	2	no	—
1958	C₄⋊C₄	—	2	4	no	—
1959	C₄⋊C₄	—	2	2	no	—
1960	C₄⋊C₄	—	2	2	no	—
1961	C₄⋊C₄	—	2	2	no	—
1962	C₄⋊C₄	—	2	2	no	—
1963	C₄⋊C₄	—	2	2	no	—
1964	C₄⋊C₄	—	2	4	no	—
1965	C₄⋊C₄	—	2	4	no	—
1966	C₄⋊C₄	—	2	4	no	—
1967	C₄⋊C₄	—	2	4	no	—
1968	C₄⋊C₄	—	2	4	no	—
1969	C₄⋊C₄	—	2	4	no	—
1970	C₄⋊C₄	—	2	2	no	—
1971	C₄⋊C₄	—	2	2	no	—
1972	C₄⋊C₄	—	2	4	no	—
1973	C₄⋊C₄	—	2	4	no	—
1974	C₄⋊C₄	—	2	4	no	—
1975	C₄⋊C₄	—	2	4	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	—	2	4	no	—
1981	C₄⋊C₄	—	2	2	no	—
1982	C₄⋊C₄	—	2	4	no	—
1983	C₄⋊C₄	—	2	2	no	—
1984	C₄⋊C₄	—	4	2	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	1	no	—
1994	C₄⋊C₄	—	4	1	no	—
1995	C₄⋊C₄	—	4	1	no	—
1996	C₄⋊C₄	—	4	2	no	—
1997	C₄⋊C₄	—	4	1	no	—
1998	C₄⋊C₄	—	4	2	no	—
1999	C₄⋊C₄	—	4	1	no	—
2000	C₄⋊C₄	—	4	1	no	—
2001	C₄⋊C₄	—	4	1	no	—
2002	C₄⋊C₄	—	4	1	no	—
2003	C₄⋊C₄	—	4	2	no	—
2004	C₄⋊C₄	—	4	2	no	—
2005	C₄⋊C₄	—	4	1	no	—
2006	C₄⋊C₄	—	4	2	no	—
2007	C₄⋊C₄	—	4	2	no	—
2008	C₄⋊C₄	—	4	2	no	—
2009	C₄⋊C₄	—	4	2	no	—
2010	C₄⋊C₄	—	4	2	no	—
2011	C₄⋊C₄	—	4	2	no	—
2012	C₄⋊C₄	—	4	2	no	—
2013	C₄⋊C₄	—	4	2	no	—
2014	C₄⋊C₄	—	4	2	no	—
2015	C₄⋊C₄	—	4	2	no	—
2016	C₄⋊C₄	—	4	2	no	—
2017	C₄⋊C₄	—	4	2	no	—
2018	C₄⋊C₄	—	4	2	no	—
2019	C₄⋊C₄	—	4	2	no	—
2020	C₄⋊C₄	—	4	2	no	—
2021	C₄⋊C₄	—	4	2	no	—
2022	C₄⋊C₄	—	4	1	no	—
2023	C₄⋊C₄	—	4	1	no	—
2024	C₄⋊C₄	—	4	1	no	—
2025	C₄⋊C₄	—	4	1	no	—
2026	C₄⋊C₄	—	4	1	no	—
2027	C₄⋊C₄	—	4	1	no	—
2028	C₄⋊C₄	—	4	1	no	—
2029	C₄⋊C₄	—	4	1	no	—
2030	C₄⋊C₄	—	4	2	no	—
2031	C₄⋊C₄	—	4	2	no	—
2032	C₄⋊C₄	—	4	2	no	—
2033	C₄⋊C₄	—	4	2	no	—
2034	C₄⋊C₄	—	4	2	no	—
2035	C₄⋊C₄	—	4	2	no	—
2036	C₄⋊C₄	—	4	2	no	—
2037	C₄⋊C₄	—	4	2	no	—
2038	C₄⋊C₄	—	4	2	no	—
2039	C₄⋊C₄	—	4	2	no	—
2040	C₄⋊C₄	—	4	2	no	—
2041	C₄⋊C₄	—	4	2	no	—
2042	C₄⋊C₄	—	4	2	no	—
2043	C₄⋊C₄	—	4	2	no	—
2044	C₄⋊C₄	—	4	2	no	—
2045	C₄⋊C₄	—	4	2	no	—
2046	C₄⋊C₄	—	4	2	no	—
2047	C₄⋊C₄	—	4	2	no	—
2048	C₄⋊C₄	—	4	2	no	—
2049	C₄⋊C₄	—	4	2	no	—
2050	C₄⋊C₄	—	4	2	no	—
2051	C₄⋊C₄	—	4	2	no	—
2052	C₄⋊C₄	—	4	2	no	—
2053	C₄⋊C₄	—	4	2	no	—
2054	C₄⋊C₄	—	4	2	no	—
2055	C₄⋊C₄	—	4	2	no	—
2056	C₄⋊C₄	—	4	2	no	—
2057	C₄⋊C₄	—	4	2	no	—
2058	C₄⋊C₄	—	4	2	no	—
2059	C₄⋊C₄	—	4	2	no	—
2060	C₄⋊C₄	—	4	2	no	—
2061	C₄⋊C₄	—	4	2	no	—
2062	C₄⋊C₄	—	4	2	no	—
2063	C₄⋊C₄	—	4	2	no	—
2064	C₄⋊C₄	—	4	2	no	—
2065	C₄⋊C₄	—	4	2	no	—
2066	C₄⋊C₄	—	4	2	no	—
2067	C₄⋊C₄	—	4	2	no	—
2068	C₄⋊C₄	—	4	2	no	—
2069	C₄⋊C₄	—	4	2	no	—
2070	C₄⋊C₄	—	4	2	no	—
2071	C₄⋊C₄	—	4	2	no	—
2072	C₄⋊C₄	—	4	2	no	—
2073	C₄⋊C₄	—	4	1	no	—
2074	C₄⋊C₄	—	4	1	no	—
2075	C₄⋊C₄	—	4	2	no	—
2076	C₄⋊C₄	—	4	2	no	—
2077	C₄⋊C₄	—	4	2	no	—
2078	C₄⋊C₄	—	4	1	no	—
2079	C₄⋊C₄	—	4	1	no	—
2080	C₄⋊C₄	—	4	1	no	—
2081	C₄⋊C₄	—	4	1	no	—
2082	C₄⋊C₄	—	4	2	no	—
2083	C₄⋊C₄	—	4	1	no	—
2084	C₄⋊C₄	—	4	2	no	—
2085	C₄⋊C₄	—	4	1	no	—
2086	C₄⋊C₄	—	4	2	no	—
2087	C₄⋊C₄	—	4	1	no	—
2088	C₄⋊C₄	—	4	2	no	—
2089	C₄⋊C₄	—	4	1	no	—
2090	C₄⋊C₄	—	4	2	no	—
2091	C₄⋊C₄	—	4	2	no	—
2092	C₄⋊C₄	C₂²×Q₈	1	4	yes	—
2093	C₄⋊C₄	C₂²×Q₈	1	4	yes	—
2094	C₄⋊C₄	C₂²×Q₈	1	4	yes	—
2095	C₄⋊C₄	C₂²×Q₈	1	4	yes	—
2096	C₄⋊C₄	C₂²×Q₈	1	4	yes	—
2097	C₄⋊C₄	C₂²×Q₈	1	4	yes	—
2098	C₄⋊C₄	C₂²×Q₈	1	4	yes	—
2099	C₄⋊C₄	C₂²×Q₈	1	4	yes	—
2100	C₄⋊C₄	C₂²×Q₈	1	4	yes	—
2101	C₄⋊C₄	C₂²×Q₈	1	4	yes	—
2102	C₄⋊C₄	H(5,𝔽₂)	1	4	yes	—
2103	C₄⋊C₄	2₋¹⁺⁴	1	4	yes	—
2104	C₂²⋊C₄	—	2	4	no	—
2105	C₂²⋊C₄	—	2	4	no	—
2106	C₂²⋊C₄	—	4	2	no	—
2107	C₂²⋊C₄	—	4	1	no	—
2108	C₂²⋊C₄	—	4	1	no	—
2109	C₂²⋊C₄	—	4	2	no	—
2110	C₂²⋊C₄	—	4	1	no	—
2111	C₂²⋊C₄	—	4	2	no	—
2112	C₂²⋊C₄	—	4	1	no	—
2113	C₂²⋊C₄	—	4	1	no	—
2114	C₂²⋊C₄	—	4	1	no	—
2115	C₂²⋊C₄	—	4	1	no	—
2116	C₂²⋊C₄	—	4	1	no	—
2117	C₂²⋊C₄	—	4	1	no	—
2118	C₂²⋊C₄	—	4	1	no	—
2119	C₂²⋊C₄	—	4	1	no	—
2120	C₂²⋊C₄	—	4	1	no	—
2121	C₂²⋊C₄	—	4	1	no	—
2122	C₂²⋊C₄	—	4	1	no	—
2123	C₂²⋊C₄	—	4	2	no	—
2124	C₂²⋊C₄	—	4	2	no	—
2125	C₂²⋊C₄	—	4	2	no	—
2126	C₂²⋊C₄	—	4	2	no	—
2127	C₂²⋊C₄	—	4	2	no	—
2128	C₂²⋊C₄	—	4	2	no	—
2129	C₂²⋊C₄	—	4	2	no	—
2130	C₂²⋊C₄	—	4	2	no	—
2131	C₂²⋊C₄	—	4	2	no	—
2132	C₂²⋊C₄	—	4	2	no	—
2133	C₂²⋊C₄	—	4	2	no	—
2134	C₂²⋊C₄	—	4	1	no	—
2135	C₂²⋊C₄	—	4	1	no	—
2136	C₂²⋊C₄	—	4	2	no	—
2137	C₂²⋊C₄	—	4	2	no	—
2138	C₂²⋊C₄	—	4	1	no	—
2139	C₂²⋊C₄	—	4	1	no	—
2140	C₂²⋊C₄	—	4	1	no	—
2141	C₂²⋊C₄	—	4	1	no	—
2142	C₂²⋊C₄	C₂²×Q₈	1	4	yes	—
2143	C₂²⋊C₄	C₂²×Q₈	1	4	yes	—
2144	C₂²⋊C₄	C₂²×Q₈	1	4	yes	—
2145	C₂²⋊C₄	C₂²×Q₈	1	4	yes	—
2146	C₂²⋊C₄	C₂²×Q₈	1	4	yes	—
2147	C₂²⋊C₄	C₂²×Q₈	1	4	yes	—
2148	C₂²⋊C₄	C₂²×Q₈	1	4	yes	—
2149	C₂²⋊C₄	C₂²×Q₈	1	4	yes	—
2150	C₂²⋊C₄	C₂²×Q₈	1	4	yes	—
2151	C₂²⋊C₄	C₂²×Q₈	1	4	yes	—
2152	C₄²	—	2	2	no	—
2153	C₄²	—	2	2	no	—
2154	C₄²	—	2	2	no	—
2155	C₄²	—	2	2	no	—
2156	C₄²	—	2	2	no	—
2157	C₄²	—	2	2	no	—
2158	C₄²	—	2	4	no	—
2159	C₄²	—	2	4	no	—
2160	C₄²	—	2	2	no	—
2161	C₄²	—	2	2	no	—
2162	C₄²	—	4	1	no	—
2163	C₄²	—	4	1	no	—
2164	C₄²	—	4	1	no	—
2165	C₄²	—	4	1	no	—
2166	C₄²	—	4	2	no	—
2167	C₄²	—	4	2	no	—
2168	C₄²	—	4	2	no	—
2169	C₄²	—	4	2	no	—
2170	C₄²	—	4	2	no	—
2171	C₄²	—	4	1	no	—
2172	C₄²	—	4	1	no	—
2173	C₄²	—	4	2	no	—
2174	C₄²	—	4	2	no	—
2175	C₄²	—	4	1	no	—
2176	C₄²	—	4	1	no	—
2177	C₄²	—	4	2	no	—
2178	C₄²	—	4	2	no	—
2179	C₄²	—	4	2	no	—
2180	C₄²	—	4	2	no	—
2181	C₄²	—	4	2	no	—
2182	C₄²	—	4	2	no	—
2183	C₄²	—	4	2	no	—
2184	C₄²	—	4	2	no	—
2185	C₄²	—	4	1	no	—
2186	C₄²	—	4	2	no	—
2187	C₄²	—	4	1	no	—
2188	C₄²	—	4	2	no	—
2189	C₄²	—	4	2	no	—
2190	C₄²	—	4	2	no	—
2191	C₄²	—	4	2	no	—
2192	C₄²	—	4	1	no	—
2193	C₄²	—	4	1	no	—
2194	C₄²	C₂²×Q₈	1	4	yes	—
2195	C₄²	C₂²×Q₈	1	4	yes	—
2196	C₄²	C₂²×Q₈	1	4	yes	—
2197	C₄²	C₂²×Q₈	1	4	yes	—
2198	C₄²	C₂²×Q₈	1	4	yes	—
2199	C₄²	C₂²×Q₈	1	4	yes	—
2200	C₂³	—	2	1	no	—
2201	C₂³	—	2	1	no	—
2202	C₂³	—	2	1	no	—
2203	C₂³	—	2	1	no	—
2204	C₂³	—	2	1	no	—
2205	C₂³	—	2	1	no	—
2206	C₂³	—	2	1	no	—
2207	C₂³	—	2	1	no	—
2208	C₂³	—	2	1	no	—
2209	C₂³	—	2	1	no	—
2210	C₂³	—	2	1	no	—
2211	C₂³	—	2	1	no	—
2212	C₂³	—	2	1	no	—
2213	C₂³	—	2	1	no	—
2214	C₂³	—	2	1	no	—
2215	C₂³	—	2	1	no	—
2216	C₂³	—	2	1	no	—
2217	C₂³	—	2	1	no	—
2218	C₂³	C₂³×Q₈	1	2	yes	—
2219	C₂³	C₂³×Q₈	1	2	yes	—
2220	C₂³	C₂³×Q₈	1	2	yes	—
2221	C₂³	C₂⁶	1	1	yes	characteristic
2222	Q₈	—	4	4	no	—
2223	Q₈	—	8	4	no	—
2224	Q₈	—	8	4	no	—
2225	Q₈	—	8	4	no	—
2226	Q₈	—	8	4	no	—
2227	Q₈	—	8	4	no	—
2228	Q₈	—	8	4	no	—
2229	Q₈	—	16	2	no	—
2230	Q₈	—	16	2	no	—
2231	Q₈	—	16	2	no	—
2232	Q₈	—	16	2	no	—
2233	D₄	—	4	4	no	—
2234	D₄	—	4	4	no	—
2235	D₄	—	4	4	no	—
2236	C₂×C₄	—	2	1	no	—
2237	C₂×C₄	—	2	1	no	—
2238	C₂×C₄	—	2	1	no	—
2239	C₂×C₄	—	2	1	no	—
2240	C₂×C₄	—	2	1	no	—
2241	C₂×C₄	—	2	1	no	—
2242	C₂×C₄	—	2	1	no	—
2243	C₂×C₄	—	2	1	no	—
2244	C₂×C₄	—	2	1	no	—
2245	C₂×C₄	—	2	1	no	—
2246	C₂×C₄	—	2	2	no	—
2247	C₂×C₄	—	2	1	no	—
2248	C₂×C₄	—	2	1	no	—
2249	C₂×C₄	—	2	1	no	—
2250	C₂×C₄	—	2	1	no	—
2251	C₂×C₄	—	2	2	no	—
2252	C₂×C₄	—	2	2	no	—
2253	C₂×C₄	—	2	1	no	—
2254	C₂×C₄	—	2	1	no	—
2255	C₂×C₄	—	2	1	no	—
2256	C₂×C₄	—	2	1	no	—
2257	C₂×C₄	—	2	1	no	—
2258	C₂×C₄	—	2	1	no	—
2259	C₂×C₄	—	2	1	no	—
2260	C₂×C₄	—	2	2	no	—
2261	C₂×C₄	—	2	1	no	—
2262	C₂×C₄	—	2	8	no	—
2263	C₂×C₄	—	2	8	no	—
2264	C₂×C₄	—	2	8	no	—
2265	C₂×C₄	—	2	1	no	—
2266	C₂×C₄	—	2	1	no	—
2267	C₂×C₄	—	2	1	no	—
2268	C₂×C₄	—	2	1	no	—
2269	C₂×C₄	—	2	1	no	—
2270	C₂×C₄	—	2	1	no	—
2271	C₂×C₄	—	2	1	no	—
2272	C₂×C₄	—	2	1	no	—
2273	C₂×C₄	—	2	1	no	—
2274	C₂×C₄	—	2	1	no	—
2275	C₂×C₄	—	2	1	no	—
2276	C₂×C₄	—	2	1	no	—
2277	C₂×C₄	—	2	2	no	—
2278	C₂×C₄	—	2	2	no	—
2279	C₂×C₄	—	2	2	no	—
2280	C₂×C₄	—	2	2	no	—
2281	C₂×C₄	—	2	2	no	—
2282	C₂×C₄	—	2	2	no	—
2283	C₂×C₄	—	2	2	no	—
2284	C₂×C₄	—	2	2	no	—
2285	C₂×C₄	—	2	2	no	—
2286	C₂×C₄	—	2	2	no	—
2287	C₂×C₄	—	2	2	no	—
2288	C₂×C₄	—	2	1	no	—
2289	C₂×C₄	—	2	1	no	—
2290	C₂×C₄	—	2	1	no	—
2291	C₂×C₄	—	2	1	no	—
2292	C₂×C₄	—	2	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	2	no	—
2298	C₂×C₄	—	2	2	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	—	2	1	no	—
2304	C₂×C₄	—	2	1	no	—
2305	C₂×C₄	—	2	2	no	—
2306	C₂×C₄	—	2	2	no	—
2307	C₂×C₄	—	2	1	no	—
2308	C₂×C₄	—	2	2	no	—
2309	C₂×C₄	—	2	2	no	—
2310	C₂×C₄	—	2	1	no	—
2311	C₂×C₄	—	2	1	no	—
2312	C₂×C₄	—	2	2	no	—
2313	C₂×C₄	—	2	2	no	—
2314	C₂×C₄	—	2	2	no	—
2315	C₂×C₄	—	2	1	no	—
2316	C₂×C₄	—	2	2	no	—
2317	C₂×C₄	—	2	1	no	—
2318	C₂×C₄	—	2	1	no	—
2319	C₂×C₄	—	2	2	no	—
2320	C₂×C₄	—	2	2	no	—
2321	C₂×C₄	—	2	2	no	—
2322	C₂×C₄	—	2	1	no	—
2323	C₂×C₄	—	2	1	no	—
2324	C₂×C₄	—	2	1	no	—
2325	C₂×C₄	—	2	1	no	—
2326	C₂×C₄	—	2	1	no	—
2327	C₂×C₄	—	2	1	no	—
2328	C₂×C₄	—	2	2	no	—
2329	C₂×C₄	—	2	1	no	—
2330	C₂×C₄	—	2	1	no	—
2331	C₂×C₄	—	2	2	no	—
2332	C₂×C₄	—	2	1	no	—
2333	C₂×C₄	—	2	1	no	—
2334	C₂×C₄	—	2	1	no	—
2335	C₂×C₄	—	2	1	no	—
2336	C₂×C₄	—	2	1	no	—
2337	C₂×C₄	—	2	1	no	—
2338	C₂×C₄	—	2	2	no	—
2339	C₂×C₄	—	2	2	no	—
2340	C₂×C₄	—	2	2	no	—
2341	C₂×C₄	—	2	2	no	—
2342	C₂×C₄	—	2	1	no	—
2343	C₂×C₄	—	2	1	no	—
2344	C₂×C₄	—	2	1	no	—
2345	C₂×C₄	—	2	2	no	—
2346	C₂×C₄	—	2	1	no	—
2347	C₂×C₄	—	2	2	no	—
2348	C₂×C₄	—	2	2	no	—
2349	C₂×C₄	—	2	2	no	—
2350	C₂×C₄	—	2	1	no	—
2351	C₂×C₄	—	2	1	no	—
2352	C₂×C₄	—	2	1	no	—
2353	C₂×C₄	—	2	1	no	—
2354	C₂×C₄	—	2	2	no	—
2355	C₂×C₄	—	4	4	no	—
2356	C₂×C₄	—	4	4	no	—
2357	C₂×C₄	—	4	4	no	—
2358	C₂×C₄	—	4	4	no	—
2359	C₂×C₄	—	8	4	no	—
2360	C₂×C₄	—	8	4	no	—
2361	C₂×C₄	—	8	4	no	—
2362	C₂×C₄	—	8	4	no	—
2363	C₂×C₄	—	8	2	no	—
2364	C₂×C₄	—	8	2	no	—
2365	C₂×C₄	—	8	4	no	—
2366	C₂×C₄	—	8	4	no	—
2367	C₂×C₄	C₂³×Q₈	1	2	yes	—
2368	C₂×C₄	C₂³×Q₈	1	2	yes	—
2369	C₂×C₄	C₂³×Q₈	1	2	yes	—
2370	C₂×C₄	C₂³×Q₈	1	2	yes	—
2371	C₂×C₄	C₂³×Q₈	1	2	yes	—
2372	C₂×C₄	C₂³×Q₈	1	2	yes	—
2373	C₂×C₄	C₂³×Q₈	1	2	yes	—
2374	C₂×C₄	C₂³×Q₈	1	2	yes	—
2375	C₂×C₄	C₂³×Q₈	1	2	yes	—
2376	C₂×C₄	C₂³×Q₈	1	2	yes	—
2377	C₂×C₄	C₂³×Q₈	1	2	yes	—
2378	C₂×C₄	C₂³×Q₈	1	2	yes	—
2379	C₂×C₄	C₂×H(5,𝔽₂)	1	4	yes	—
2380	C₂×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
2381	C₂×C₄	C₂×2₋¹⁺⁴	1	4	yes	—
2382	C₂×C₄	C₂×2₋¹⁺⁴	1	2	yes	—
2383	C₂²	—	2	2	no	—
2384	C₂²	—	2	2	no	—
2385	C₂²	—	2	2	no	—
2386	C₂²	—	2	2	no	—
2387	C₂²	—	2	2	no	—
2388	C₂²	—	2	2	no	—
2389	C₂²	—	2	2	no	—
2390	C₂²	—	2	2	no	—
2391	C₂²	—	2	2	no	—
2392	C₂²	—	4	1	no	—
2393	C₂²	—	4	1	no	—
2394	C₂²	—	4	1	no	—
2395	C₂²	—	4	1	no	—
2396	C₂²	—	4	1	no	—
2397	C₂²	—	4	1	no	—
2398	C₂²	—	4	1	no	—
2399	C₂²	—	4	1	no	—
2400	C₂²	—	4	1	no	—
2401	C₂²	—	4	1	no	—
2402	C₂²	—	4	1	no	—
2403	C₂²	—	4	1	no	—
2404	C₂²	C₂⁴×Q₈	1	1	yes	characteristic
2405	C₂²	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
2406	C₂²	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
2407	C₂²	H(7,𝔽₂)	1	1	yes	characteristic
2408	C₂²	H(7,𝔽₂)	1	1	yes	characteristic
2409	C₂²	2₋¹⁺⁶	1	1	yes	characteristic
2410	C₂²	2₋¹⁺⁶	1	1	yes	characteristic
2411	C₄	—	2	4	no	—
2412	C₄	—	2	2	no	—
2413	C₄	—	2	2	no	—
2414	C₄	—	2	2	no	—
2415	C₄	—	2	4	no	—
2416	C₄	—	2	2	no	—
2417	C₄	—	2	2	no	—
2418	C₄	—	2	2	no	—
2419	C₄	—	2	2	no	—
2420	C₄	—	2	2	no	—
2421	C₄	—	2	2	no	—
2422	C₄	—	2	2	no	—
2423	C₄	—	2	2	no	—
2424	C₄	—	4	1	no	—
2425	C₄	—	4	1	no	—
2426	C₄	—	4	2	no	—
2427	C₄	—	4	2	no	—
2428	C₄	—	4	2	no	—
2429	C₄	—	4	2	no	—
2430	C₄	—	4	1	no	—
2431	C₄	—	4	1	no	—
2432	C₄	—	4	2	no	—
2433	C₄	—	4	1	no	—
2434	C₄	—	4	2	no	—
2435	C₄	—	4	1	no	—
2436	C₄	—	4	1	no	—
2437	C₄	—	4	1	no	—
2438	C₄	—	4	2	no	—
2439	C₄	—	4	1	no	—
2440	C₄	—	4	1	no	—
2441	C₄	—	4	1	no	—
2442	C₄	—	4	1	no	—
2443	C₄	—	4	2	no	—
2444	C₄	—	4	2	no	—
2445	C₄	—	4	1	no	—
2446	C₄	—	4	2	no	—
2447	C₄	—	4	2	no	—
2448	C₄	—	4	1	no	—
2449	C₄	—	4	2	no	—
2450	C₄	—	4	2	no	—
2451	C₄	—	4	1	no	—
2452	C₄	—	4	1	no	—
2453	C₄	—	4	2	no	—
2454	C₄	#3503	1	4	yes	—
2455	C₂	—	4	2	no	—
2456	C₂	—	4	2	no	—
2457	C₂	—	4	2	no	—
2458	C₂	C₂×#3503	1	1	yes	characteristic
2459	C₂	#62854	1	1	yes	characteristic
2460	C₂	#62854	1	1	yes	characteristic
2461	C₂	#63041	1	1	yes	characteristic
2462	C₂	#63044	1	1	yes	characteristic
2463	C₂	#63058	1	1	yes	characteristic
2464	C₂	#63061	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. #51215	C₂	semidirect
2. #51083	C₂	semidirect
3. #51081	C₂	semidirect
4. #51076	C₂	semidirect
5. #50904	C₂	semidirect
6. #50708	C₂	semidirect
7. #50706	C₂	semidirect
8. #50702	C₂	semidirect
9. #48860	C₂	semidirect
10. #48859	C₂	semidirect
11. #47986	C₂	semidirect
12. #47983	C₂	semidirect
13. #45794	C₂	semidirect
15. #45499	C₂	semidirect
17. #39626	C₂	semidirect
18. #39625	C₂	semidirect
19. #39370	C₂	semidirect
20. #39369	C₂	semidirect
21. #39177	C₂	semidirect
22. #39176	C₂	semidirect
23. #38961	C₂	semidirect
24. #38960	C₂	semidirect
25. #38107	C₂	semidirect
26. #38106	C₂	semidirect
27. #38105	C₂	semidirect
28. #38104	C₂	semidirect
29. #37687	C₂	semidirect
30. #37687	C₂	semidirect
31. #37686	C₂	semidirect
32. #37686	C₂	semidirect
33. #37624	C₂	semidirect
34. #37624	C₂	semidirect
35. #37429	C₂	semidirect
36. #37427	C₂	semidirect
37. #37312	C₂	semidirect
38. #37308	C₂	semidirect
39. #35641	C₂	semidirect
40. #35640	C₂	semidirect
41. #35578	C₂	semidirect
42. #35576	C₂	semidirect
43. #35235	C₂	semidirect
44. #35167	C₂	semidirect
491. #529	Q₈	semidirect
1360. #126	C₂×Q₈	semidirect
1379. #125	C₂×Q₈	semidirect
1382. #123	C₂×Q₈	semidirect
1399. C₂²⋊Q₈	C₂×Q₈	semidirect
1404. C₄×Q₈	C₂×Q₈	semidirect
1410. C₄×D₄	C₂×Q₈	semidirect
1423. #117	C₂×Q₈	semidirect
1634. C₂×C₄²	C₂×Q₈	semidirect

Maximal subgroups

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

subgroup	index
#51215	2
#51083	2
#51081	2
#51076	2
#50904	2
#50708	2
#50706	2
#50702	2
#48860	2
#48859	2
#47986	2
#47983	2
#45794	2
#45792	2
#45499	2
#45497	2
#39626	2
#39625	2
#39370	2
#39369	2
#39177	2
#39176	2
#38961	2
#38960	2
#38107	2
#38106	2
#38105	2
#38104	2
#37687	2
#37686	2
#37624	2
#37429	2
#37427	2
#37312	2
#37308	2
#35641	2
#35640	2
#35578	2
#35576	2
#35235	2
#35167	2
#34385	2
#34350	2
#34243	2