Subgroups — #7633000

Order 512.

4818 conjugacy classes of subgroups.

The subgroup lattice has 2436 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#36554	C₂	1	1	yes	maximal, characteristic, complemented
2	#36545	C₂	1	1	yes	maximal, characteristic, complemented
3	#36491	C₂	1	1	yes	maximal, characteristic, complemented
4	#36473	C₂	1	1	yes	maximal, characteristic
5	#36398	C₂	1	2	yes	maximal, complemented
6	#36383	C₂	1	2	yes	maximal, complemented
7	#36378	C₂	1	2	yes	maximal, complemented
8	#36357	C₂	1	2	yes	maximal, complemented
9	#36311	C₂	1	1	yes	maximal, characteristic, complemented
10	#36311	C₂	1	1	yes	maximal, characteristic, complemented
11	#36284	C₂	1	1	yes	maximal, characteristic, complemented
12	#36232	C₂	1	1	yes	maximal, characteristic
13	#36050	C₂	1	1	yes	maximal, characteristic, complemented
14	#36027	C₂	1	2	yes	maximal, complemented
15	#36007	C₂	1	1	yes	maximal, characteristic, complemented
16	#36007	C₂	1	1	yes	maximal, characteristic, complemented
17	#35949	C₂	1	1	yes	maximal, characteristic, complemented
18	#35902	C₂	1	2	yes	maximal, complemented
19	#35896	C₂	1	2	yes	maximal
20	#35870	C₂	1	1	yes	maximal, characteristic, complemented
21	#35867	C₂	1	1	yes	maximal, characteristic, complemented
22	#35803	C₂	1	1	yes	maximal, characteristic, complemented
23	#35746	C₂	1	2	yes	maximal, complemented
24	#35726	C₂	1	1	yes	maximal, characteristic, complemented
25	#35671	C₂	1	1	yes	maximal, characteristic, complemented
26	#35665	C₂	1	1	yes	maximal, characteristic, complemented
27	#35637	C₂	1	1	yes	maximal, characteristic, complemented
28	#35582	C₂	1	1	yes	maximal, characteristic, complemented
29	#35511	C₂	1	2	yes	maximal, complemented
30	#35511	C₂	1	2	yes	maximal, complemented
31	#35489	C₂	1	2	yes	maximal, complemented
32	#35476	C₂	1	2	yes	maximal
33	#35323	C₂	1	1	yes	maximal, characteristic, complemented
34	#35217	C₂	1	1	yes	maximal, characteristic, complemented
35	#35126	C₂	1	2	yes	maximal, complemented
36	#35113	C₂	1	2	yes	maximal, complemented
37	#34920	C₂	1	2	yes	maximal, complemented
38	#34916	C₂	1	1	yes	maximal, characteristic, complemented
39	#34884	C₂	1	1	yes	maximal, characteristic
40	#34867	C₂	1	2	yes	maximal, complemented
41	#34328	C₂	1	1	yes	maximal, characteristic, complemented
42	#34322	C₂	1	1	yes	maximal, characteristic, complemented
43	#34307	C₂	1	1	yes	maximal, characteristic, complemented
44	#34300	C₂	1	1	yes	maximal, characteristic, complemented
45	#34286	C₂	1	1	yes	maximal, characteristic, complemented
46	#34154	C₂	1	1	yes	maximal, characteristic, complemented
47	C₄×#519	C₂	1	1	yes	maximal, characteristic, complemented
48	C₂×#557	C₂²	1	1	yes	characteristic
49	C₂×#556	C₂²	1	1	yes	characteristic
50	C₂×#556	C₂²	1	1	yes	characteristic
51	C₂×#552	C₂²	1	1	yes	characteristic
52	C₂×#541	C₂²	1	1	yes	characteristic
53	C₂×#533	C₂²	1	1	yes	characteristic
54	C₂×#519	C₂²	1	1	yes	characteristic
55	C₂×#519	C₂²	1	1	yes	characteristic
56	C₂²×C₄×Q₈	C₂²	1	1	yes	characteristic
57	#2866	C₂²	1	2	yes	—
58	#2866	C₂²	1	2	yes	—
59	#2865	C₂²	1	2	yes	—
60	#2865	C₂²	1	2	yes	—
61	#2864	C₂²	1	2	yes	—
62	#2863	C₂²	1	2	yes	—
63	#2863	C₂²	1	2	yes	—
64	#2863	C₂²	1	1	yes	characteristic
65	#2863	C₂²	1	1	yes	characteristic
66	#2860	C₂²	1	2	yes	—
67	#2857	C₂²	1	1	yes	characteristic
68	#2852	C₂²	1	2	yes	—
69	#2851	C₂²	1	2	yes	—
70	#2851	C₂²	1	1	yes	characteristic
71	#2666	C₂²	1	2	yes	—
72	#2664	C₂²	1	2	yes	—
73	#2655	C₂²	1	2	yes	—
74	#2655	C₂²	1	2	yes	—
75	#2652	C₂²	1	2	yes	—
76	#2651	C₂²	1	2	yes	—
77	#2650	C₂²	1	2	yes	—
78	#2649	C₂²	1	2	yes	—
79	#2647	C₂²	1	1	yes	characteristic
80	#2642	C₂²	1	1	yes	characteristic
81	#2637	C₂²	1	2	yes	—
82	#2637	C₂²	1	2	yes	—
83	#2625	C₂²	1	1	yes	characteristic
84	#2625	C₂²	1	1	yes	characteristic
85	#2612	C₂²	1	2	yes	—
86	#2612	C₂²	1	2	yes	—
87	#2612	C₂²	1	2	yes	—
88	#2612	C₂²	1	2	yes	—
89	#2611	C₂²	1	2	yes	—
90	#2611	C₂²	1	2	yes	—
91	#2611	C₂²	1	2	yes	—
92	#2609	C₂²	1	2	yes	—
93	#2606	C₂²	1	2	yes	—
94	#2605	C₂²	1	2	yes	—
95	#2605	C₂²	1	2	yes	—
96	#2604	C₂²	1	2	yes	—
97	#2604	C₂²	1	2	yes	—
98	#2604	C₂²	1	2	yes	—
99	#2604	C₂²	1	2	yes	—
100	#2604	C₂²	1	2	yes	—
101	#2604	C₂²	1	2	yes	—
102	#2604	C₂²	1	2	yes	—
103	#2604	C₂²	1	2	yes	—
104	#2601	C₂²	1	2	yes	—
105	#2601	C₂²	1	2	yes	—
106	#2599	C₂²	1	2	yes	—
107	#2599	C₂²	1	2	yes	—
108	#2599	C₂²	1	2	yes	—
109	#2597	C₂²	1	1	yes	characteristic
110	#2596	C₂²	1	2	yes	—
111	#2596	C₂²	1	2	yes	—
112	#2596	C₂²	1	2	yes	—
113	#2596	C₂²	1	1	yes	characteristic
114	#2594	C₂²	1	2	yes	—
115	#2594	C₂²	1	2	yes	—
116	#2593	C₂²	1	2	yes	—
117	#2590	C₂²	1	2	yes	—
118	#2590	C₂²	1	2	yes	—
119	#2590	C₂²	1	2	yes	—
120	#2590	C₂²	1	2	yes	—
121	#2590	C₂²	1	2	yes	—
122	#2590	C₂²	1	2	yes	—
123	#2590	C₂²	1	1	yes	characteristic
124	#2590	C₂²	1	2	yes	—
125	#2590	C₂²	1	2	yes	—
126	#2589	C₂²	1	2	yes	—
127	#2589	C₂²	1	2	yes	—
128	#2589	C₂²	1	2	yes	—
129	#2589	C₂²	1	1	yes	characteristic
130	#2589	C₂²	1	2	yes	—
131	#2588	C₂²	1	2	yes	—
132	#2588	C₂²	1	2	yes	—
133	#2588	C₂²	1	2	yes	—
134	#2587	C₂²	1	2	yes	—
135	#2587	C₂²	1	2	yes	—
136	#2586	C₂²	1	2	yes	—
137	#2585	C₂²	1	2	yes	—
138	#2585	C₂²	1	2	yes	—
139	#2584	C₂²	1	2	yes	—
140	#2584	C₂²	1	1	yes	characteristic
141	#2584	C₂²	1	2	yes	—
142	#2582	C₂²	1	1	yes	characteristic
143	#2581	C₂²	1	2	yes	—
144	#2581	C₂²	1	2	yes	—
145	#2581	C₂²	1	2	yes	—
146	#2581	C₂²	1	2	yes	—
147	#2578	C₂²	1	1	yes	characteristic
148	#2577	C₂²	1	2	yes	—
149	#2577	C₂²	1	2	yes	—
150	#2577	C₂²	1	2	yes	—
151	#2577	C₂²	1	1	yes	characteristic
152	#2574	C₂²	1	2	yes	—
153	#2565	C₂²	1	1	yes	characteristic
154	#2565	C₂²	1	2	yes	—
155	#2560	C₂²	1	2	yes	—
156	#2560	C₂²	1	1	yes	characteristic
157	#2559	C₂²	1	1	yes	characteristic
158	#2558	C₂²	1	2	yes	—
159	#2558	C₂²	1	2	yes	—
160	#2556	C₂²	1	2	yes	—
161	#2551	C₂²	1	1	yes	characteristic
162	#2550	C₂²	1	1	yes	characteristic
163	#2550	C₂²	1	2	yes	—
164	#2546	C₂²	1	1	yes	characteristic
165	#2542	C₂²	1	1	yes	characteristic
166	#2536	C₂²	1	1	yes	characteristic
167	#2533	C₂²	1	2	yes	—
168	#2533	C₂²	1	2	yes	—
169	#2533	C₂²	1	1	yes	characteristic
170	#2533	C₂²	1	2	yes	—
171	#2533	C₂²	1	2	yes	—
172	#2533	C₂²	1	2	yes	—
173	#2533	C₂²	1	2	yes	—
174	#2533	C₂²	1	2	yes	—
175	#2533	C₂²	1	2	yes	—
176	#2533	C₂²	1	2	yes	—
177	#2532	C₂²	1	2	yes	—
178	#2532	C₂²	1	2	yes	—
179	#2532	C₂²	1	2	yes	—
180	#2532	C₂²	1	2	yes	—
181	#2532	C₂²	1	1	yes	characteristic
182	#2532	C₂²	1	2	yes	—
183	#2531	C₂²	1	1	yes	characteristic
184	#2530	C₂²	1	2	yes	—
185	#2530	C₂²	1	1	yes	characteristic
186	#2530	C₂²	1	2	yes	—
187	#2529	C₂²	1	2	yes	—
188	#2528	C₂²	1	2	yes	—
189	#2525	C₂²	1	2	yes	—
190	#2525	C₂²	1	2	yes	—
191	#2525	C₂²	1	2	yes	—
192	#2524	C₂²	1	2	yes	—
193	#2524	C₂²	1	2	yes	—
194	#2524	C₂²	1	2	yes	—
195	#2524	C₂²	1	2	yes	—
196	#2524	C₂²	1	2	yes	—
197	#2524	C₂²	1	2	yes	—
198	#2523	C₂²	1	2	yes	—
199	#2522	C₂²	1	2	yes	—
200	#2522	C₂²	1	2	yes	—
201	#2521	C₂²	1	2	yes	—
202	#2521	C₂²	1	2	yes	—
203	#2520	C₂²	1	2	yes	—
204	#2520	C₂²	1	2	yes	—
205	#2520	C₂²	1	2	yes	—
206	#2519	C₂²	1	2	yes	—
207	#2519	C₂²	1	2	yes	—
208	#2518	C₂²	1	2	yes	—
209	#2517	C₂²	1	2	yes	—
210	#2514	C₂²	1	1	yes	characteristic
211	#2511	C₂²	1	1	yes	characteristic
212	#2509	C₂²	1	1	yes	characteristic
213	#2509	C₂²	1	1	yes	characteristic
214	#2508	C₂²	1	2	yes	—
215	#2507	C₂²	1	1	yes	characteristic
216	#2506	C₂²	1	2	yes	—
217	#2506	C₂²	1	2	yes	—
218	#2506	C₂²	1	2	yes	—
219	#2506	C₂²	1	1	yes	characteristic
220	#2497	C₂²	1	1	yes	characteristic
221	#2496	C₂²	1	2	yes	—
222	#2495	C₂²	1	1	yes	characteristic
223	#2492	C₂²	1	1	yes	characteristic
224	#2492	C₂²	1	1	yes	characteristic
225	#2492	C₂²	1	1	yes	characteristic
226	#2491	C₂²	1	2	yes	—
227	#2489	C₂²	1	1	yes	characteristic
228	#2479	C₂²	1	2	yes	—
229	#2479	C₂²	1	1	yes	characteristic
230	#2478	C₂²	1	2	yes	—
231	#2478	C₂²	1	2	yes	—
232	#2478	C₂²	1	2	yes	—
233	#2478	C₂²	1	2	yes	—
234	#2478	C₂²	1	1	yes	characteristic
235	#2477	C₂²	1	1	yes	characteristic
236	#2477	C₂²	1	2	yes	—
237	#2476	C₂²	1	1	yes	characteristic
238	#2475	C₂²	1	2	yes	—
239	#2475	C₂²	1	2	yes	—
240	#2474	C₂²	1	2	yes	—
241	#2474	C₂²	1	2	yes	—
242	#2474	C₂²	1	2	yes	—
243	#2474	C₂²	1	2	yes	—
244	#2473	C₂²	1	2	yes	—
245	#2473	C₂²	1	2	yes	—
246	#2473	C₂²	1	2	yes	—
247	#2469	C₂²	1	2	yes	—
248	#2469	C₂²	1	2	yes	—
249	#2469	C₂²	1	2	yes	—
250	#2465	C₂²	1	2	yes	—
251	#2465	C₂²	1	2	yes	—
252	#2462	C₂²	1	2	yes	—
253	#2462	C₂²	1	2	yes	—
254	#2462	C₂²	1	2	yes	—
255	#2462	C₂²	1	2	yes	—
256	#2462	C₂²	1	2	yes	—
257	#2462	C₂²	1	2	yes	—
258	#2460	C₂²	1	2	yes	—
259	#2458	C₂²	1	2	yes	—
260	#2453	C₂²	1	1	yes	characteristic
261	#2453	C₂²	1	2	yes	—
262	#2451	C₂²	1	2	yes	—
263	#2451	C₂²	1	1	yes	characteristic
264	#2451	C₂²	1	1	yes	characteristic
265	#2451	C₂²	1	1	yes	characteristic
266	#2451	C₂²	1	1	yes	characteristic
267	#2451	C₂²	1	1	yes	characteristic
268	#2446	C₂²	1	2	yes	—
269	#2446	C₂²	1	1	yes	characteristic
270	#2446	C₂²	1	1	yes	characteristic
271	#2446	C₂²	1	2	yes	—
272	#2446	C₂²	1	1	yes	characteristic
273	#2446	C₂²	1	1	yes	characteristic
274	#2443	C₂²	1	2	yes	—
275	#2441	C₂²	1	1	yes	characteristic
276	#2439	C₂²	1	1	yes	characteristic
277	#2434	C₂²	1	1	yes	characteristic
278	#2434	C₂²	1	1	yes	characteristic
279	#2429	C₂²	1	1	yes	characteristic
280	#2429	C₂²	1	1	yes	characteristic
281	#2429	C₂²	1	1	yes	characteristic
282	#2429	C₂²	1	1	yes	characteristic
283	#2429	C₂²	1	1	yes	characteristic
284	#2429	C₂²	1	1	yes	characteristic
285	#2423	C₂²	1	1	yes	characteristic
286	#2423	C₂²	1	1	yes	characteristic
287	#2421	C₂²	1	1	yes	characteristic
288	#2421	C₂²	1	1	yes	characteristic
289	#2415	C₂²	1	1	yes	characteristic
290	#2415	C₂²	1	1	yes	characteristic
291	#2409	C₂²	1	1	yes	characteristic
292	#2409	C₂²	1	1	yes	characteristic
293	#2402	C₂²	1	1	yes	characteristic
294	#2402	C₂²	1	2	yes	—
295	#2402	C₂²	1	2	yes	—
296	#2402	C₂²	1	2	yes	—
297	#2401	C₂²	1	2	yes	—
298	#2399	C₂²	1	2	yes	—
299	#2399	C₂²	1	2	yes	—
300	#2399	C₂²	1	2	yes	—
301	#2398	C₂²	1	2	yes	—
302	#2398	C₂²	1	1	yes	characteristic
303	#2396	C₂²	1	2	yes	—
304	#2396	C₂²	1	2	yes	—
305	#2395	C₂²	1	1	yes	characteristic
306	#2395	C₂²	1	1	yes	characteristic
307	#2374	C₂²	1	2	yes	—
308	#2373	C₂²	1	2	yes	—
309	#2373	C₂²	1	2	yes	—
310	#2373	C₂²	1	2	yes	—
311	#2373	C₂²	1	2	yes	—
312	#2373	C₂²	1	2	yes	—
313	#2373	C₂²	1	2	yes	—
314	#2373	C₂²	1	2	yes	—
315	#2372	C₂²	1	2	yes	—
316	#2371	C₂²	1	2	yes	—
317	#2371	C₂²	1	2	yes	—
318	#2371	C₂²	1	2	yes	—
319	#2371	C₂²	1	2	yes	—
320	#2371	C₂²	1	2	yes	—
321	#2371	C₂²	1	2	yes	—
322	#2370	C₂²	1	2	yes	—
323	#2370	C₂²	1	1	yes	characteristic
324	#2370	C₂²	1	1	yes	characteristic
325	#2370	C₂²	1	2	yes	—
326	#2370	C₂²	1	1	yes	characteristic
327	#2369	C₂²	1	1	yes	characteristic
328	#2367	C₂²	1	2	yes	—
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	1	yes	characteristic
333	#2365	C₂²	1	1	yes	characteristic
334	#2365	C₂²	1	1	yes	characteristic
335	#2365	C₂²	1	1	yes	characteristic
336	#2365	C₂²	1	1	yes	characteristic
337	#2365	C₂²	1	1	yes	characteristic
338	#2365	C₂²	1	1	yes	characteristic
339	#2362	C₂²	1	1	yes	characteristic
340	#2362	C₂²	1	2	yes	—
341	#2362	C₂²	1	2	yes	—
342	#2362	C₂²	1	1	yes	characteristic
343	#2362	C₂²	1	1	yes	characteristic
344	#2362	C₂²	1	1	yes	characteristic
345	#2362	C₂²	1	1	yes	characteristic
346	#2362	C₂²	1	1	yes	characteristic
347	#2362	C₂²	1	1	yes	characteristic
348	#2362	C₂²	1	1	yes	characteristic
349	#2362	C₂²	1	1	yes	characteristic
350	#2360	C₂²	1	1	yes	characteristic
351	#2360	C₂²	1	1	yes	characteristic
352	#2360	C₂²	1	1	yes	characteristic
353	#2360	C₂²	1	1	yes	characteristic
354	#2360	C₂²	1	1	yes	characteristic
355	#2356	C₂²	1	1	yes	characteristic
356	#2356	C₂²	1	2	yes	—
357	#2356	C₂²	1	2	yes	—
358	#2356	C₂²	1	1	yes	characteristic
359	#2356	C₂²	1	1	yes	characteristic
360	#2355	C₂²	1	1	yes	characteristic
361	#2355	C₂²	1	1	yes	characteristic
362	#2355	C₂²	1	1	yes	characteristic
363	#2355	C₂²	1	1	yes	characteristic
364	#2354	C₂²	1	1	yes	characteristic
365	#2352	C₂²	1	1	yes	characteristic
366	#2351	C₂²	1	2	yes	—
367	D₄×C₄⋊C₄	C₂²	1	1	yes	characteristic
368	#2347	C₂²	1	1	yes	characteristic
369	#2346	C₂²	1	1	yes	characteristic
370	#2346	C₂²	1	2	yes	—
371	#2346	C₂²	1	1	yes	characteristic
372	#2346	C₂²	1	1	yes	characteristic
373	#2346	C₂²	1	1	yes	characteristic
374	#2345	C₂²	1	1	yes	characteristic
375	#2337	C₂²	1	2	yes	—
376	#2336	C₂²	1	2	yes	—
377	#2336	C₂²	1	2	yes	—
378	#2336	C₂²	1	2	yes	—
379	#2335	C₂²	1	2	yes	—
380	#2334	C₂²	1	2	yes	—
381	#2334	C₂²	1	2	yes	—
382	#2334	C₂²	1	2	yes	—
383	#2334	C₂²	1	2	yes	—
384	#2334	C₂²	1	2	yes	—
385	#2331	C₂²	1	1	yes	characteristic
386	#2330	C₂²	1	1	yes	characteristic
387	#2327	C₂²	1	1	yes	characteristic
388	#2327	C₂²	1	1	yes	characteristic
389	#2323	C₂²	1	1	yes	characteristic
390	#2323	C₂²	1	1	yes	characteristic
391	#2323	C₂²	1	1	yes	characteristic
392	#2323	C₂²	1	1	yes	characteristic
393	#2320	C₂²	1	1	yes	characteristic
394	C₄×C₄⋊Q₈	C₂²	1	1	yes	characteristic
395	C₄×C₄⋊Q₈	C₂²	1	1	yes	characteristic
396	C₄×C₄⋊Q₈	C₂²	1	2	yes	—
397	C₄×#125	C₂²	1	2	yes	—
398	C₄×#125	C₂²	1	2	yes	—
399	C₄×#125	C₂²	1	2	yes	—
400	C₄×#125	C₂²	1	2	yes	—
401	C₄×#126	C₂²	1	2	yes	—
402	C₄×#126	C₂²	1	2	yes	—
403	C₄×#126	C₂²	1	2	yes	—
404	C₄×#126	C₂²	1	1	yes	characteristic
405	C₄×#126	C₂²	1	1	yes	characteristic
406	C₄×#124	C₂²	1	2	yes	—
407	C₄×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
408	C₄×C₂²⋊Q₈	C₂²	1	2	yes	—
409	C₄×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
410	C₄×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
411	C₄×#121	C₂²	1	1	yes	characteristic
412	#2298	C₂²	1	2	yes	—
413	#2298	C₂²	1	2	yes	—
414	#2298	C₂²	1	2	yes	—
415	#2298	C₂²	1	1	yes	characteristic
416	#2298	C₂²	1	2	yes	—
417	#2295	C₂²	1	2	yes	—
418	#2295	C₂²	1	2	yes	—
419	#2295	C₂²	1	2	yes	—
420	#2295	C₂²	1	2	yes	—
421	#2295	C₂²	1	1	yes	characteristic
422	#2295	C₂²	1	2	yes	—
423	#2295	C₂²	1	2	yes	—
424	#2295	C₂²	1	2	yes	—
425	#2295	C₂²	1	1	yes	characteristic
426	#2295	C₂²	1	1	yes	characteristic
427	#2295	C₂²	1	1	yes	characteristic
428	#2295	C₂²	1	2	yes	—
429	#2293	C₂²	1	1	yes	characteristic
430	#2290	C₂²	1	1	yes	characteristic
431	#2290	C₂²	1	2	yes	—
432	#2290	C₂²	1	1	yes	characteristic
433	#2276	C₂²	1	1	yes	characteristic
434	#2276	C₂²	1	1	yes	characteristic
435	#2276	C₂²	1	1	yes	characteristic
436	#2276	C₂²	1	1	yes	characteristic
437	#2276	C₂²	1	1	yes	characteristic
438	#2276	C₂²	1	2	yes	—
439	#2276	C₂²	1	2	yes	—
440	#2274	C₂²	1	1	yes	characteristic
441	#2274	C₂²	1	1	yes	characteristic
442	#2274	C₂²	1	2	yes	—
443	#2274	C₂²	1	1	yes	characteristic
444	#2274	C₂²	1	2	yes	—
445	C₄²×Q₈	C₂²	1	1	yes	characteristic
446	C₄²×Q₈	C₂²	1	2	yes	—
447	C₄²×Q₈	C₂²	1	2	yes	—
448	C₄²×Q₈	C₂²	1	2	yes	—
449	C₄²×Q₈	C₂²	1	1	yes	characteristic
450	C₄²×Q₈	C₂²	1	1	yes	characteristic
451	C₄²×Q₈	C₂²	1	1	yes	characteristic
452	C₄²×Q₈	C₂²	1	1	yes	characteristic
453	C₄×#117	C₂²	1	1	yes	characteristic
454	C₄×#117	C₂²	1	2	yes	—
455	C₄×#117	C₂²	1	2	yes	—
456	C₄×#117	C₂²	1	1	yes	characteristic
457	C₄×#117	C₂²	1	1	yes	characteristic
458	C₄×#117	C₂²	1	1	yes	characteristic
459	C₂³×Q₈	C₂³	1	1	yes	characteristic
460	#557	—	2	8	no	—
461	#556	—	2	8	no	—
462	#556	—	2	8	no	—
463	#552	—	2	8	no	—
464	#541	—	2	8	no	—
465	#533	—	2	8	no	—
466	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
467	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
468	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
469	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
470	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
471	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
472	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
473	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
474	C₂×C₄⋊Q₈	C₂³	1	2	yes	—
475	C₂×#126	C₂³	1	1	yes	characteristic
476	C₂×#126	C₂³	1	2	yes	—
477	C₂×#126	C₂³	1	2	yes	—
478	C₂×#126	C₂³	1	2	yes	—
479	C₂×#126	C₂³	1	2	yes	—
480	C₂×#126	C₂³	1	2	yes	—
481	C₂×#126	C₂³	1	2	yes	—
482	C₂×#126	C₂³	1	2	yes	—
483	C₂×#126	C₂³	1	1	yes	characteristic
484	C₂×#125	C₂³	1	2	yes	—
485	C₂×#125	C₂³	1	2	yes	—
486	C₂×#125	C₂³	1	2	yes	—
487	C₂×#125	C₂³	1	1	yes	characteristic
488	C₂×#125	C₂³	1	2	yes	—
489	C₂×#125	C₂³	1	2	yes	—
490	C₂×#125	C₂³	1	1	yes	characteristic
491	C₂×#125	C₂³	1	2	yes	—
492	C₂×#125	C₂³	1	2	yes	—
493	C₂×#125	C₂³	1	2	yes	—
494	C₂×#124	C₂³	1	2	yes	—
495	C₂×#124	C₂³	1	2	yes	—
496	C₂×#123	C₂³	1	2	yes	—
497	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
498	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
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×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
505	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
506	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
507	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
508	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
509	C₂×#121	C₂³	1	1	yes	characteristic
510	#519	—	2	8	no	—
511	#519	—	2	8	no	—
512	C₂×C₄×Q₈	—	2	8	no	—
513	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
514	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
515	C₂×C₄×Q₈	C₂³	1	2	yes	—
516	C₂×C₄×Q₈	C₂³	1	2	yes	—
517	C₂×C₄×Q₈	C₂³	1	2	yes	—
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	2	yes	—
522	C₂×C₄×Q₈	C₂³	1	2	yes	—
523	C₂×C₄×Q₈	C₂³	1	2	yes	—
524	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
525	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
526	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
527	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
528	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
529	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
530	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
531	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
532	C₂×C₄×Q₈	C₂³	1	2	yes	—
533	C₂×C₄×Q₈	C₂³	1	2	yes	—
534	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
535	C₂×C₄×Q₈	C₂³	1	2	yes	—
536	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
537	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
538	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
539	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
540	C₂×C₄×Q₈	C₂³	1	2	yes	—
541	C₂×C₄×Q₈	C₂³	1	2	yes	—
542	C₂×C₄×Q₈	C₂³	1	2	yes	—
543	C₂×C₄×Q₈	C₂³	1	2	yes	—
544	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
545	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
546	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
547	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
548	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
549	C₂×C₄×D₄	C₂³	1	2	yes	—
550	C₂×#117	C₂³	1	1	yes	characteristic
551	C₂×#117	C₂³	1	1	yes	characteristic
552	C₂×#117	C₂³	1	2	yes	—
553	C₂×#117	C₂³	1	2	yes	—
554	C₂×#117	C₂³	1	2	yes	—
555	C₂×#117	C₂³	1	1	yes	characteristic
556	C₂×#117	C₂³	1	1	yes	characteristic
557	C₂×#117	C₂³	1	1	yes	characteristic
558	C₂×#117	C₂³	1	1	yes	characteristic
559	C₂×#117	C₂³	1	1	yes	characteristic
560	C₂×#117	C₂³	1	1	yes	characteristic
561	C₂×#117	C₂³	1	2	yes	—
562	C₂×#117	C₂³	1	2	yes	—
563	C₂×#117	C₂³	1	2	yes	—
564	C₂×#117	C₂³	1	1	yes	characteristic
565	C₂×#117	C₂³	1	1	yes	characteristic
566	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
567	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
568	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
569	C₂²×C₄²	C₂³	1	2	yes	—
570	C₂²×C₄²	C₂³	1	1	yes	characteristic
571	C₂²×C₄²	C₂³	1	1	yes	characteristic
572	#401	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	1	yes	characteristic
577	#400	C₂³	1	1	yes	characteristic
578	#400	C₂³	1	1	yes	characteristic
579	#400	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
597	#400	C₂³	1	2	yes	—
598	#400	C₂³	1	2	yes	—
599	#400	C₂³	1	2	yes	—
600	#400	C₂³	1	2	yes	—
601	#400	C₂³	1	1	yes	characteristic
602	#400	C₂³	1	1	yes	characteristic
603	#400	C₂³	1	2	yes	—
604	#400	C₂³	1	2	yes	—
605	#400	C₂³	1	2	yes	—
606	#400	C₂³	1	2	yes	—
607	#400	C₂³	1	2	yes	—
608	#400	C₂³	1	2	yes	—
609	#400	C₂³	1	1	yes	characteristic
610	#399	C₂³	1	1	yes	characteristic
611	#399	C₂³	1	1	yes	characteristic
612	#399	C₂³	1	2	yes	—
613	#399	C₂³	1	2	yes	—
614	#399	C₂³	1	2	yes	—
615	#399	C₂³	1	2	yes	—
616	#399	C₂³	1	2	yes	—
617	#398	C₂³	1	2	yes	—
618	#398	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
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	1	yes	characteristic
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	1	yes	characteristic
649	#398	C₂³	1	1	yes	characteristic
650	#398	C₂³	1	1	yes	characteristic
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	#397	C₂³	1	2	yes	—
658	#397	C₂³	1	1	yes	characteristic
659	#397	C₂³	1	1	yes	characteristic
660	#397	C₂³	1	2	yes	—
661	#397	C₂³	1	2	yes	—
662	#397	C₂³	1	2	yes	—
663	#397	C₂³	1	1	yes	characteristic
664	#397	C₂³	1	1	yes	characteristic
665	#397	C₂³	1	1	yes	characteristic
666	#397	C₂³	1	1	yes	characteristic
667	#397	C₂³	1	1	yes	characteristic
668	#397	C₂³	1	1	yes	characteristic
669	#397	C₂³	1	2	yes	—
670	#397	C₂³	1	2	yes	—
671	#397	C₂³	1	2	yes	—
672	#397	C₂³	1	2	yes	—
673	#397	C₂³	1	2	yes	—
674	#397	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	#396	C₂³	1	2	yes	—
680	#396	C₂³	1	2	yes	—
681	#396	C₂³	1	2	yes	—
682	#396	C₂³	1	2	yes	—
683	#396	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	#395	C₂³	1	2	yes	—
689	#395	C₂³	1	2	yes	—
690	#395	C₂³	1	2	yes	—
691	#395	C₂³	1	2	yes	—
692	#395	C₂³	1	2	yes	—
693	#395	C₂³	1	2	yes	—
694	#395	C₂³	1	2	yes	—
695	#395	C₂³	1	2	yes	—
696	#395	C₂³	1	2	yes	—
697	#395	C₂³	1	2	yes	—
698	#395	C₂³	1	2	yes	—
699	#394	C₂³	1	2	yes	—
700	#394	C₂³	1	1	yes	characteristic
701	#394	C₂³	1	1	yes	characteristic
702	#394	C₂³	1	1	yes	characteristic
703	#394	C₂³	1	1	yes	characteristic
704	#394	C₂³	1	2	yes	—
705	#394	C₂³	1	2	yes	—
706	#394	C₂³	1	1	yes	characteristic
707	#394	C₂³	1	1	yes	characteristic
708	#393	C₂³	1	2	yes	—
709	#393	C₂³	1	1	yes	characteristic
710	#393	C₂³	1	2	yes	—
711	#393	C₂³	1	2	yes	—
712	#393	C₂³	1	1	yes	characteristic
713	#393	C₂³	1	2	yes	—
714	#393	C₂³	1	2	yes	—
715	#393	C₂³	1	2	yes	—
716	#391	C₂³	1	2	yes	—
717	#391	C₂³	1	1	yes	characteristic
718	#391	C₂³	1	2	yes	—
719	#391	C₂³	1	2	yes	—
720	#391	C₂³	1	2	yes	—
721	#391	C₂³	1	1	yes	characteristic
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	2	yes	—
726	#391	C₂³	1	2	yes	—
727	#391	C₂³	1	1	yes	characteristic
728	#391	C₂³	1	1	yes	characteristic
729	#391	C₂³	1	1	yes	characteristic
730	#391	C₂³	1	1	yes	characteristic
731	#391	C₂³	1	1	yes	characteristic
732	#391	C₂³	1	1	yes	characteristic
733	#391	C₂³	1	2	yes	—
734	#391	C₂³	1	2	yes	—
735	#391	C₂³	1	2	yes	—
736	#391	C₂³	1	2	yes	—
737	#391	C₂³	1	2	yes	—
738	#391	C₂³	1	2	yes	—
739	#391	C₂³	1	2	yes	—
740	#391	C₂³	1	1	yes	characteristic
741	#391	C₂³	1	1	yes	characteristic
742	#391	C₂³	1	1	yes	characteristic
743	#391	C₂³	1	1	yes	characteristic
744	#391	C₂³	1	1	yes	characteristic
745	#391	C₂³	1	1	yes	characteristic
746	#391	C₂³	1	2	yes	—
747	#391	C₂³	1	2	yes	—
748	#391	C₂³	1	2	yes	—
749	#391	C₂³	1	2	yes	—
750	#391	C₂³	1	2	yes	—
751	#391	C₂³	1	1	yes	characteristic
752	#391	C₂³	1	1	yes	characteristic
753	#391	C₂³	1	2	yes	—
754	#391	C₂³	1	1	yes	characteristic
755	#391	C₂³	1	1	yes	characteristic
756	#391	C₂³	1	2	yes	—
757	#391	C₂³	1	1	yes	characteristic
758	#391	C₂³	1	1	yes	characteristic
759	#390	C₂³	1	1	yes	characteristic
760	#390	C₂³	1	2	yes	—
761	#390	C₂³	1	2	yes	—
762	#390	C₂³	1	1	yes	characteristic
763	#390	C₂³	1	1	yes	characteristic
764	#389	C₂³	1	1	yes	characteristic
765	#389	C₂³	1	2	yes	—
766	#389	C₂³	1	2	yes	—
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	1	yes	characteristic
773	#389	C₂³	1	2	yes	—
774	#389	C₂³	1	1	yes	characteristic
775	#389	C₂³	1	1	yes	characteristic
776	#389	C₂³	1	2	yes	—
777	#389	C₂³	1	2	yes	—
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	1	yes	characteristic
785	#389	C₂³	1	1	yes	characteristic
786	#389	C₂³	1	1	yes	characteristic
787	#389	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
797	#389	C₂³	1	1	yes	characteristic
798	#389	C₂³	1	1	yes	characteristic
799	#389	C₂³	1	2	yes	—
800	#389	C₂³	1	1	yes	characteristic
801	#389	C₂³	1	2	yes	—
802	#389	C₂³	1	2	yes	—
803	#389	C₂³	1	2	yes	—
804	#389	C₂³	1	2	yes	—
805	#389	C₂³	1	2	yes	—
806	#389	C₂³	1	2	yes	—
807	#389	C₂³	1	2	yes	—
808	#389	C₂³	1	2	yes	—
809	#389	C₂³	1	1	yes	characteristic
810	#389	C₂³	1	2	yes	—
811	#389	C₂³	1	2	yes	—
812	#389	C₂³	1	2	yes	—
813	#389	C₂³	1	2	yes	—
814	#389	C₂³	1	2	yes	—
815	#389	C₂³	1	2	yes	—
816	#389	C₂³	1	1	yes	characteristic
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	2	yes	—
827	#389	C₂³	1	2	yes	—
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	1	yes	characteristic
832	#389	C₂³	1	2	yes	—
833	#389	C₂³	1	2	yes	—
834	#389	C₂³	1	1	yes	characteristic
835	#389	C₂³	1	1	yes	characteristic
836	#389	C₂³	1	1	yes	characteristic
837	#389	C₂³	1	1	yes	characteristic
838	#388	C₂³	1	1	yes	characteristic
839	#388	C₂³	1	1	yes	characteristic
840	#388	C₂³	1	2	yes	—
841	#388	C₂³	1	1	yes	characteristic
842	#388	C₂³	1	2	yes	—
843	#388	C₂³	1	2	yes	—
844	#388	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
850	#388	C₂³	1	1	yes	characteristic
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	2	yes	—
856	#388	C₂³	1	1	yes	characteristic
857	#388	C₂³	1	2	yes	—
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	2	yes	—
869	#388	C₂³	1	2	yes	—
870	#388	C₂³	1	2	yes	—
871	#388	C₂³	1	2	yes	—
872	#388	C₂³	1	1	yes	characteristic
873	#388	C₂³	1	2	yes	—
874	#388	C₂³	1	1	yes	characteristic
875	#388	C₂³	1	1	yes	characteristic
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	#388	C₂³	1	2	yes	—
887	#388	C₂³	1	2	yes	—
888	#388	C₂³	1	2	yes	—
889	#388	C₂³	1	2	yes	—
890	#388	C₂³	1	2	yes	—
891	#388	C₂³	1	2	yes	—
892	#388	C₂³	1	2	yes	—
893	#388	C₂³	1	2	yes	—
894	#388	C₂³	1	2	yes	—
895	#388	C₂³	1	2	yes	—
896	#388	C₂³	1	2	yes	—
897	#388	C₂³	1	1	yes	characteristic
898	#388	C₂³	1	2	yes	—
899	#388	C₂³	1	2	yes	—
900	#388	C₂³	1	2	yes	—
901	#388	C₂³	1	2	yes	—
902	#388	C₂³	1	2	yes	—
903	#388	C₂³	1	2	yes	—
904	#388	C₂³	1	2	yes	—
905	#388	C₂³	1	1	yes	characteristic
906	#388	C₂³	1	2	yes	—
907	#388	C₂³	1	2	yes	—
908	#388	C₂³	1	2	yes	—
909	#388	C₂³	1	2	yes	—
910	#388	C₂³	1	2	yes	—
911	#388	C₂³	1	1	yes	characteristic
912	#388	C₂³	1	2	yes	—
913	#388	C₂³	1	1	yes	characteristic
914	#388	C₂³	1	1	yes	characteristic
915	#388	C₂³	1	1	yes	characteristic
916	#388	C₂³	1	1	yes	characteristic
917	#387	C₂³	1	1	yes	characteristic
918	#387	C₂³	1	1	yes	characteristic
919	#387	C₂³	1	2	yes	—
920	#387	C₂³	1	2	yes	—
921	#387	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
927	#387	C₂³	1	1	yes	characteristic
928	#387	C₂³	1	2	yes	—
929	#387	C₂³	1	1	yes	characteristic
930	#387	C₂³	1	2	yes	—
931	#387	C₂³	1	2	yes	—
932	#387	C₂³	1	2	yes	—
933	#387	C₂³	1	1	yes	characteristic
934	#387	C₂³	1	1	yes	characteristic
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	2	yes	—
943	#387	C₂³	1	2	yes	—
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	1	yes	characteristic
962	#387	C₂³	1	2	yes	—
963	#387	C₂³	1	2	yes	—
964	#387	C₂³	1	1	yes	characteristic
965	#387	C₂³	1	2	yes	—
966	#387	C₂³	1	2	yes	—
967	#387	C₂³	1	1	yes	characteristic
968	#387	C₂³	1	2	yes	—
969	#387	C₂³	1	2	yes	—
970	#387	C₂³	1	2	yes	—
971	#387	C₂³	1	1	yes	characteristic
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	2	yes	—
1010	#387	C₂³	1	2	yes	—
1011	#387	C₂³	1	2	yes	—
1012	#387	C₂³	1	2	yes	—
1013	#387	C₂³	1	2	yes	—
1014	#387	C₂³	1	2	yes	—
1015	#387	C₂³	1	2	yes	—
1016	#387	C₂³	1	2	yes	—
1017	#387	C₂³	1	2	yes	—
1018	#387	C₂³	1	2	yes	—
1019	#387	C₂³	1	2	yes	—
1020	#387	C₂³	1	2	yes	—
1021	#387	C₂³	1	2	yes	—
1022	#387	C₂³	1	2	yes	—
1023	#387	C₂³	1	2	yes	—
1024	#387	C₂³	1	2	yes	—
1025	#387	C₂³	1	2	yes	—
1026	#387	C₂³	1	2	yes	—
1027	#387	C₂³	1	2	yes	—
1028	#387	C₂³	1	1	yes	characteristic
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	#387	C₂³	1	2	yes	—
1038	#387	C₂³	1	2	yes	—
1039	#387	C₂³	1	1	yes	characteristic
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	2	yes	—
1046	#387	C₂³	1	2	yes	—
1047	#387	C₂³	1	2	yes	—
1048	#387	C₂³	1	2	yes	—
1049	#387	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
1055	#387	C₂³	1	1	yes	characteristic
1056	#387	C₂³	1	1	yes	characteristic
1057	#387	C₂³	1	1	yes	characteristic
1058	#386	C₂³	1	1	yes	characteristic
1059	#386	C₂³	1	1	yes	characteristic
1060	#386	C₂³	1	1	yes	characteristic
1061	#386	C₂³	1	1	yes	characteristic
1062	#386	C₂³	1	1	yes	characteristic
1063	#386	C₂³	1	2	yes	—
1064	#386	C₂³	1	2	yes	—
1065	#386	C₂³	1	2	yes	—
1066	#386	C₂³	1	1	yes	characteristic
1067	#385	C₂³	1	2	yes	—
1068	#385	C₂³	1	2	yes	—
1069	#385	C₂³	1	1	yes	characteristic
1070	#385	C₂³	1	2	yes	—
1071	#385	C₂³	1	2	yes	—
1072	#385	C₂³	1	1	yes	characteristic
1073	#385	C₂³	1	1	yes	characteristic
1074	#385	C₂³	1	2	yes	—
1075	#385	C₂³	1	2	yes	—
1076	#385	C₂³	1	1	yes	characteristic
1077	#385	C₂³	1	2	yes	—
1078	#385	C₂³	1	2	yes	—
1079	#385	C₂³	1	2	yes	—
1080	#385	C₂³	1	2	yes	—
1081	#385	C₂³	1	2	yes	—
1082	#385	C₂³	1	2	yes	—
1083	#385	C₂³	1	2	yes	—
1084	#385	C₂³	1	2	yes	—
1085	#385	C₂³	1	2	yes	—
1086	#385	C₂³	1	2	yes	—
1087	#385	C₂³	1	2	yes	—
1088	#385	C₂³	1	1	yes	characteristic
1089	#385	C₂³	1	1	yes	characteristic
1090	#384	C₂³	1	1	yes	characteristic
1091	#384	C₂³	1	2	yes	—
1092	#384	C₂³	1	1	yes	characteristic
1093	#384	C₂³	1	1	yes	characteristic
1094	#383	C₂³	1	2	yes	—
1095	#383	C₂³	1	2	yes	—
1096	#383	C₂³	1	1	yes	characteristic
1097	#383	C₂³	1	1	yes	characteristic
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	#383	C₂³	1	2	yes	—
1103	#383	C₂³	1	2	yes	—
1104	#383	C₂³	1	2	yes	—
1105	#382	C₂³	1	2	yes	—
1106	#382	C₂³	1	2	yes	—
1107	#382	C₂³	1	2	yes	—
1108	#382	C₂³	1	2	yes	—
1109	#382	C₂³	1	1	yes	characteristic
1110	#382	C₂³	1	2	yes	—
1111	#382	C₂³	1	2	yes	—
1112	#382	C₂³	1	2	yes	—
1113	#382	C₂³	1	1	yes	characteristic
1114	#382	C₂³	1	1	yes	characteristic
1115	#382	C₂³	1	2	yes	—
1116	#382	C₂³	1	2	yes	—
1117	#380	C₂³	1	2	yes	—
1118	#380	C₂³	1	2	yes	—
1119	#380	C₂³	1	2	yes	—
1120	#380	C₂³	1	1	yes	characteristic
1121	#380	C₂³	1	1	yes	characteristic
1122	#380	C₂³	1	1	yes	characteristic
1123	#380	C₂³	1	1	yes	characteristic
1124	#380	C₂³	1	1	yes	characteristic
1125	#380	C₂³	1	1	yes	characteristic
1126	#380	C₂³	1	1	yes	characteristic
1127	#380	C₂³	1	1	yes	characteristic
1128	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1129	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1130	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1131	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1132	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1133	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1134	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1135	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1136	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1137	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1138	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1139	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1140	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1141	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1142	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1143	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1144	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1145	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1146	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1147	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1148	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1149	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1150	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1151	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1152	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1153	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1154	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1155	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1156	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1157	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1158	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1159	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1160	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1161	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1162	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1163	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1164	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1165	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1166	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1167	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1168	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1169	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1170	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1171	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1172	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1173	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
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	2	yes	—
1178	C₄×C₄⋊C₄	C₂³	1	2	yes	—
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	1	yes	characteristic
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	1	yes	characteristic
1190	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1191	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1192	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1193	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1194	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1195	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1196	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1197	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1198	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1199	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1200	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1201	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1202	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1203	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1204	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1205	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1206	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1207	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1208	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1209	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1210	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1211	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1212	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1213	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1214	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1215	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1216	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1217	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1218	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1219	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1220	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1221	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1222	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
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	2	yes	—
1229	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1230	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1231	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1232	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1233	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1234	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1235	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1236	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
1237	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
1238	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
1239	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
1240	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
1241	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
1242	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
1243	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
1244	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
1245	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
1246	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
1247	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
1248	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
1249	C₄×C₂²⋊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	2	yes	—
1256	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
1257	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
1258	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
1259	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
1260	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
1261	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
1262	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
1263	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
1264	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
1265	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
1266	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
1267	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
1268	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
1269	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
1270	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
1271	#376	C₂³	1	1	yes	characteristic
1272	#376	C₂³	1	1	yes	characteristic
1273	#376	C₂³	1	2	yes	—
1274	#376	C₂³	1	2	yes	—
1275	#376	C₂³	1	2	yes	—
1276	#376	C₂³	1	2	yes	—
1277	#376	C₂³	1	2	yes	—
1278	#376	C₂³	1	2	yes	—
1279	#376	C₂³	1	2	yes	—
1280	#376	C₂³	1	2	yes	—
1281	#376	C₂³	1	2	yes	—
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	1	yes	characteristic
1288	#376	C₂³	1	1	yes	characteristic
1289	#376	C₂³	1	2	yes	—
1290	#376	C₂³	1	1	yes	characteristic
1291	#376	C₂³	1	2	yes	—
1292	#376	C₂³	1	2	yes	—
1293	C₄³	C₂³	1	1	yes	characteristic
1294	C₄³	C₂³	1	2	yes	—
1295	C₄³	C₂³	1	2	yes	—
1296	C₄³	C₂³	1	2	yes	—
1297	C₄³	C₂³	1	2	yes	—
1298	C₄³	C₂³	1	2	yes	—
1299	C₄³	C₂³	1	1	yes	characteristic
1300	C₄³	C₂³	1	2	yes	—
1301	C₄³	C₂³	1	2	yes	—
1302	C₄³	C₂³	1	1	yes	characteristic
1303	C₂²×Q₈	—	2	4	no	—
1304	C₂²×Q₈	—	2	4	no	—
1305	C₂²×Q₈	—	2	4	no	—
1306	C₂²×Q₈	C₂⁴	1	2	yes	—
1307	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
1308	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
1309	C₂²×Q₈	C₂⁴	1	2	yes	—
1310	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
1311	C₂²×Q₈	C₂⁴	1	2	yes	—
1312	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
1313	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
1314	C₂²×Q₈	C₂⁴	1	2	yes	—
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	2	yes	—
1319	C₂³×C₄	C₂⁴	1	1	yes	characteristic
1320	C₂³×C₄	C₂⁴	1	1	yes	characteristic
1321	C₂³×C₄	C₂⁴	1	1	yes	characteristic
1322	C₂³×C₄	C₂⁴	1	1	yes	characteristic
1323	C₂³×C₄	C₂⁴	1	1	yes	characteristic
1324	C₂³×C₄	C₂⁴	1	2	yes	—
1325	C₂³×C₄	C₂⁴	1	1	yes	characteristic
1326	C₂³×C₄	C₂⁴	1	2	yes	—
1327	C₂³×C₄	C₂⁴	1	1	yes	characteristic
1328	C₄⋊Q₈	—	2	4	no	—
1329	C₄⋊Q₈	—	2	4	no	—
1330	C₄⋊Q₈	—	2	4	no	—
1331	C₄⋊Q₈	—	2	4	no	—
1332	C₄⋊Q₈	—	2	4	no	—
1333	C₄⋊Q₈	—	2	4	no	—
1334	C₄⋊Q₈	—	2	4	no	—
1335	C₄⋊Q₈	—	2	4	no	—
1336	C₄⋊Q₈	—	4	4	no	—
1337	#126	—	2	8	no	—
1338	#126	—	2	4	no	—
1339	#126	—	2	8	no	—
1340	#126	—	2	8	no	—
1341	#126	—	2	8	no	—
1342	#126	—	2	8	no	—
1343	#126	—	2	8	no	—
1344	#126	—	2	8	no	—
1345	#126	—	4	2	no	—
1346	#125	—	2	8	no	—
1347	#125	—	2	4	no	—
1348	#125	—	2	8	no	—
1349	#125	—	2	8	no	—
1350	#125	—	2	8	no	—
1351	#125	—	2	8	no	—
1352	#125	—	2	8	no	—
1353	#125	—	2	4	no	—
1354	#125	—	2	8	no	—
1355	#125	—	4	4	no	—
1356	#124	—	2	8	no	—
1357	#124	—	2	8	no	—
1358	#123	—	2	8	no	—
1359	C₂²⋊Q₈	—	2	4	no	—
1360	C₂²⋊Q₈	—	2	4	no	—
1361	C₂²⋊Q₈	—	2	4	no	—
1362	C₂²⋊Q₈	—	2	4	no	—
1363	C₂²⋊Q₈	—	2	4	no	—
1364	C₂²⋊Q₈	—	2	4	no	—
1365	C₂²⋊Q₈	—	2	4	no	—
1366	C₂²⋊Q₈	—	2	8	no	—
1367	C₂²⋊Q₈	—	2	4	no	—
1368	C₂²⋊Q₈	—	2	4	no	—
1369	C₂²⋊Q₈	—	2	4	no	—
1370	C₂²⋊Q₈	—	2	4	no	—
1371	#121	—	4	2	no	—
1372	C₄×Q₈	—	2	4	no	—
1373	C₄×Q₈	—	2	4	no	—
1374	C₄×Q₈	—	2	4	no	—
1375	C₄×Q₈	—	2	8	no	—
1376	C₄×Q₈	—	2	4	no	—
1377	C₄×Q₈	—	2	4	no	—
1378	C₄×Q₈	—	2	4	no	—
1379	C₄×Q₈	—	2	8	no	—
1380	C₄×Q₈	—	2	4	no	—
1381	C₄×Q₈	—	2	4	no	—
1382	C₄×Q₈	—	2	4	no	—
1383	C₄×Q₈	—	2	4	no	—
1384	C₄×Q₈	—	2	4	no	—
1385	C₄×Q₈	—	2	4	no	—
1386	C₄×Q₈	—	2	8	no	—
1387	C₄×Q₈	—	2	8	no	—
1388	C₄×Q₈	—	2	4	no	—
1389	C₄×Q₈	—	2	4	no	—
1390	C₄×Q₈	—	2	8	no	—
1391	C₄×Q₈	—	2	8	no	—
1392	C₄×Q₈	—	2	8	no	—
1393	C₄×Q₈	—	2	8	no	—
1394	C₄×Q₈	—	2	4	no	—
1395	C₄×Q₈	—	2	4	no	—
1396	C₄×Q₈	—	2	8	no	—
1397	C₄×Q₈	—	2	8	no	—
1398	C₄×Q₈	—	2	8	no	—
1399	C₄×Q₈	—	2	4	no	—
1400	C₄×Q₈	—	4	4	no	—
1401	C₄×Q₈	—	4	4	no	—
1402	C₄×Q₈	—	4	4	no	—
1403	C₄×Q₈	#41	1	8	yes	—
1404	C₄×Q₈	#41	1	8	yes	—
1405	C₄×D₄	—	2	4	no	—
1406	C₄×D₄	—	2	4	no	—
1407	C₄×D₄	—	2	4	no	—
1408	C₄×D₄	—	4	4	no	—
1409	#117	—	2	4	no	—
1410	#117	—	2	4	no	—
1411	#117	—	2	8	no	—
1412	#117	—	2	4	no	—
1413	#117	—	2	4	no	—
1414	#117	—	2	4	no	—
1415	#117	—	2	4	no	—
1416	#117	—	2	8	no	—
1417	#117	—	2	8	no	—
1418	#117	—	2	4	no	—
1419	#117	—	2	8	no	—
1420	#117	—	2	8	no	—
1421	#117	—	2	4	no	—
1422	#117	—	2	8	no	—
1423	#117	—	4	2	no	—
1424	#117	#41	1	8	yes	—
1425	C₂×C₄⋊C₄	—	2	4	no	—
1426	C₂×C₄⋊C₄	—	2	8	no	—
1427	C₂×C₄⋊C₄	—	2	4	no	—
1428	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1429	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1430	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1431	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1432	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1433	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1434	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1435	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1436	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1437	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
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	1	yes	characteristic
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	1	yes	characteristic
1448	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1449	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1450	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1451	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1452	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1453	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1454	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1455	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1456	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1457	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1458	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1459	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1460	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1461	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1462	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1463	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
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	2	yes	—
1473	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1474	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1475	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1476	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1477	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1478	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1479	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1480	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1481	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1482	C₂×C₄⋊C₄	C₂⁴	1	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	1	yes	characteristic
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	1	yes	characteristic
1492	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1493	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1494	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
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	1	yes	characteristic
1505	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1506	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
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	1	yes	characteristic
1516	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1517	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1518	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1519	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1520	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1521	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1522	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
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	1	yes	characteristic
1527	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1528	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1529	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1530	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1531	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1532	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1533	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1534	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1535	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1536	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1537	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1538	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1539	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1540	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1541	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1542	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1543	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1544	C₂×C₄⋊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	2	yes	—
1548	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1549	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1550	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1551	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1552	C₂×C₂²⋊C₄	C₂⁴	1	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	2	yes	—
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	1	yes	characteristic
1563	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1564	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1565	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1566	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1567	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1568	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1569	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1570	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1571	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1572	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1573	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1574	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1575	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1576	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1577	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1578	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1579	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1580	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1581	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1582	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1583	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1584	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1585	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1586	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1587	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1588	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1589	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1590	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1591	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1592	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1593	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1594	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1595	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1596	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1597	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1598	C₂×C₄²	—	2	8	no	—
1599	C₂×C₄²	—	2	4	no	—
1600	C₂×C₄²	—	2	4	no	—
1601	C₂×C₄²	C₂⁴	1	2	yes	—
1602	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1603	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1604	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1605	C₂×C₄²	C₂⁴	1	2	yes	—
1606	C₂×C₄²	C₂⁴	1	2	yes	—
1607	C₂×C₄²	C₂⁴	1	2	yes	—
1608	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1609	C₂×C₄²	C₂⁴	1	2	yes	—
1610	C₂×C₄²	C₂⁴	1	2	yes	—
1611	C₂×C₄²	C₂⁴	1	2	yes	—
1612	C₂×C₄²	C₂⁴	1	2	yes	—
1613	C₂×C₄²	C₂⁴	1	2	yes	—
1614	C₂×C₄²	C₂⁴	1	2	yes	—
1615	C₂×C₄²	C₂⁴	1	2	yes	—
1616	C₂×C₄²	C₂⁴	1	2	yes	—
1617	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1618	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1619	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1620	C₂×C₄²	C₂⁴	1	2	yes	—
1621	C₂×C₄²	C₂⁴	1	1	yes	characteristic
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	1	yes	characteristic
1628	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1629	C₂×C₄²	C₂⁴	1	1	yes	characteristic
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	2	yes	—
1635	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1636	C₂×C₄²	C₂⁴	1	2	yes	—
1637	C₂×C₄²	C₂⁴	1	2	yes	—
1638	C₂×C₄²	C₂⁴	1	2	yes	—
1639	C₂×C₄²	C₂⁴	1	2	yes	—
1640	C₂×C₄²	C₂⁴	1	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	2	yes	—
1645	C₂×C₄²	C₂⁴	1	2	yes	—
1646	C₂×C₄²	C₂⁴	1	2	yes	—
1647	C₂×C₄²	C₂⁴	1	2	yes	—
1648	C₂×C₄²	C₂⁴	1	2	yes	—
1649	C₂×C₄²	C₂⁴	1	2	yes	—
1650	C₂×C₄²	C₂⁴	1	2	yes	—
1651	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1652	C₂×C₄²	C₂⁴	1	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	1	yes	characteristic
1658	C₂×C₄²	C₂⁴	1	2	yes	—
1659	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1660	C₂×C₄²	C₂⁴	1	2	yes	—
1661	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1662	C₂×C₄²	C₂⁴	1	2	yes	—
1663	C₂×C₄²	C₂⁴	1	2	yes	—
1664	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1665	C₂×C₄²	C₂⁴	1	2	yes	—
1666	C₂×C₄²	C₂⁴	1	2	yes	—
1667	C₂×C₄²	C₂⁴	1	2	yes	—
1668	C₂×C₄²	C₂⁴	1	2	yes	—
1669	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1670	C₂×C₄²	C₂⁴	1	2	yes	—
1671	C₂×C₄²	C₂⁴	1	2	yes	—
1672	C₂×C₄²	C₂⁴	1	2	yes	—
1673	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1674	#95	C₂⁴	1	2	yes	—
1675	#95	C₂⁴	1	1	yes	characteristic
1676	#95	C₂⁴	1	1	yes	characteristic
1677	#95	C₂⁴	1	2	yes	—
1678	#95	C₂⁴	1	1	yes	characteristic
1679	#95	C₂⁴	1	1	yes	characteristic
1680	#95	C₂⁴	1	2	yes	—
1681	#95	C₂⁴	1	1	yes	characteristic
1682	#95	C₂⁴	1	1	yes	characteristic
1683	#95	C₂⁴	1	1	yes	characteristic
1684	#95	C₂⁴	1	1	yes	characteristic
1685	#95	C₂⁴	1	1	yes	characteristic
1686	#95	C₂⁴	1	1	yes	characteristic
1687	#95	C₂⁴	1	1	yes	characteristic
1688	#95	C₂⁴	1	1	yes	characteristic
1689	#95	C₂⁴	1	2	yes	—
1690	#95	C₂⁴	1	2	yes	—
1691	#95	C₂⁴	1	2	yes	—
1692	#95	C₂⁴	1	2	yes	—
1693	#95	C₂⁴	1	2	yes	—
1694	#95	C₂⁴	1	2	yes	—
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	2	yes	—
1700	#95	C₂⁴	1	1	yes	characteristic
1701	#95	C₂⁴	1	2	yes	—
1702	#95	C₂⁴	1	1	yes	characteristic
1703	#95	C₂⁴	1	1	yes	characteristic
1704	#95	C₂⁴	1	2	yes	—
1705	#95	C₂⁴	1	2	yes	—
1706	#95	C₂⁴	1	1	yes	characteristic
1707	#95	C₂⁴	1	1	yes	characteristic
1708	#95	C₂⁴	1	2	yes	—
1709	#95	C₂⁴	1	2	yes	—
1710	#95	C₂⁴	1	1	yes	characteristic
1711	#95	C₂⁴	1	2	yes	—
1712	#95	C₂⁴	1	1	yes	characteristic
1713	#95	C₂⁴	1	1	yes	characteristic
1714	#95	C₂⁴	1	1	yes	characteristic
1715	#95	C₂⁴	1	2	yes	—
1716	#95	C₂⁴	1	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	2	yes	—
1722	#95	C₂⁴	1	2	yes	—
1723	#95	C₂⁴	1	1	yes	characteristic
1724	#95	C₂⁴	1	1	yes	characteristic
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	2	yes	—
1730	#95	C₂⁴	1	2	yes	—
1731	#95	C₂⁴	1	2	yes	—
1732	#95	C₂⁴	1	2	yes	—
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	2	yes	—
1741	#95	C₂⁴	1	2	yes	—
1742	#95	C₂⁴	1	2	yes	—
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	2	yes	—
1748	#95	C₂⁴	1	2	yes	—
1749	#95	C₂⁴	1	2	yes	—
1750	#95	C₂⁴	1	2	yes	—
1751	#95	C₂⁴	1	2	yes	—
1752	#95	C₂⁴	1	2	yes	—
1753	#95	C₂⁴	1	1	yes	characteristic
1754	#95	C₂⁴	1	2	yes	—
1755	#95	C₂⁴	1	2	yes	—
1756	#95	C₂⁴	1	2	yes	—
1757	#95	C₂⁴	1	1	yes	characteristic
1758	#95	C₂⁴	1	1	yes	characteristic
1759	#95	C₂⁴	1	1	yes	characteristic
1760	#95	C₂⁴	1	2	yes	—
1761	#95	C₂⁴	1	1	yes	characteristic
1762	#95	C₂⁴	1	1	yes	characteristic
1763	#95	C₂⁴	1	2	yes	—
1764	#95	C₂⁴	1	1	yes	characteristic
1765	#95	C₂⁴	1	1	yes	characteristic
1766	#95	C₂⁴	1	1	yes	characteristic
1767	#95	C₂⁴	1	1	yes	characteristic
1768	#95	C₂⁴	1	2	yes	—
1769	#95	C₂⁴	1	2	yes	—
1770	#95	C₂⁴	1	2	yes	—
1771	#95	C₂⁴	1	1	yes	characteristic
1772	#95	C₂⁴	1	2	yes	—
1773	#95	C₂⁴	1	1	yes	characteristic
1774	#95	C₂⁴	1	2	yes	—
1775	#95	C₂⁴	1	2	yes	—
1776	#95	C₂⁴	1	2	yes	—
1777	#95	C₂⁴	1	2	yes	—
1778	#95	C₂⁴	1	1	yes	characteristic
1779	#95	C₂⁴	1	2	yes	—
1780	#95	C₂⁴	1	2	yes	—
1781	#95	C₂⁴	1	1	yes	characteristic
1782	#95	C₂⁴	1	2	yes	—
1783	#95	C₂⁴	1	2	yes	—
1784	#95	C₂⁴	1	1	yes	characteristic
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	1	yes	characteristic
1798	#95	C₂⁴	1	1	yes	characteristic
1799	#95	C₂⁴	1	1	yes	characteristic
1800	#95	C₂⁴	1	1	yes	characteristic
1801	#95	C₂⁴	1	2	yes	—
1802	#95	C₂⁴	1	2	yes	—
1803	#95	C₂⁴	1	1	yes	characteristic
1804	#95	C₂⁴	1	2	yes	—
1805	#95	C₂⁴	1	2	yes	—
1806	#95	C₂⁴	1	2	yes	—
1807	#95	C₂⁴	1	1	yes	characteristic
1808	#95	C₂⁴	1	2	yes	—
1809	#95	C₂⁴	1	1	yes	characteristic
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	1	yes	characteristic
1815	#95	C₂⁴	1	2	yes	—
1816	#95	C₂⁴	1	2	yes	—
1817	#95	C₂⁴	1	1	yes	characteristic
1818	#95	C₂⁴	1	1	yes	characteristic
1819	#95	C₂⁴	1	2	yes	—
1820	C₂⁴	C₂⁵	1	1	yes	characteristic
1821	C₂⁴	C₂⁵	1	1	yes	characteristic
1822	C₂⁴	C₂⁵	1	1	yes	characteristic
1823	C₂×Q₈	—	2	32	no	—
1824	C₂×Q₈	—	2	4	no	—
1825	C₂×Q₈	—	2	4	no	—
1826	C₂×Q₈	—	2	4	no	—
1827	C₂×Q₈	—	2	2	no	—
1828	C₂×Q₈	—	2	2	no	—
1829	C₂×Q₈	—	2	2	no	—
1830	C₂×Q₈	—	2	2	no	—
1831	C₂×Q₈	—	2	2	no	—
1832	C₂×Q₈	—	2	2	no	—
1833	C₂×Q₈	—	2	2	no	—
1834	C₂×Q₈	—	2	4	no	—
1835	C₂×Q₈	—	2	2	no	—
1836	C₂×Q₈	—	2	2	no	—
1837	C₂×Q₈	—	2	4	no	—
1838	C₂×Q₈	—	2	2	no	—
1839	C₂×Q₈	—	2	2	no	—
1840	C₂×Q₈	—	2	4	no	—
1841	C₂×Q₈	—	2	4	no	—
1842	C₂×Q₈	—	2	2	no	—
1843	C₂×Q₈	—	2	4	no	—
1844	C₂×Q₈	—	4	2	no	—
1845	C₂×Q₈	—	4	1	no	—
1846	C₂×Q₈	—	4	2	no	—
1847	C₂×Q₈	—	4	2	no	—
1848	C₂×Q₈	—	4	2	no	—
1849	C₂×Q₈	C₂×#41	1	4	yes	—
1850	C₂×Q₈	C₂×#41	1	4	yes	—
1851	C₂×D₄	—	2	2	no	—
1852	C₂×D₄	—	2	2	no	—
1853	C₂×D₄	—	2	2	no	—
1854	C₂×D₄	—	2	2	no	—
1855	C₂×D₄	—	4	1	no	—
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	C₂²×C₄	—	2	4	no	—
1861	C₂²×C₄	—	2	4	no	—
1862	C₂²×C₄	—	2	2	no	—
1863	C₂²×C₄	—	2	4	no	—
1864	C₂²×C₄	—	2	2	no	—
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	2	no	—
1872	C₂²×C₄	—	2	2	no	—
1873	C₂²×C₄	—	2	2	no	—
1874	C₂²×C₄	—	2	2	no	—
1875	C₂²×C₄	—	2	2	no	—
1876	C₂²×C₄	—	2	4	no	—
1877	C₂²×C₄	—	2	2	no	—
1878	C₂²×C₄	—	2	4	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	2	no	—
1884	C₂²×C₄	—	4	2	no	—
1885	C₂²×C₄	—	4	1	no	—
1886	C₂²×C₄	—	4	2	no	—
1887	C₂²×C₄	—	4	2	no	—
1888	C₂²×C₄	—	4	1	no	—
1889	C₂²×C₄	C₂×#41	1	4	yes	—
1890	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1891	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1892	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1893	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1894	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1895	C₂²×C₄	C₂⁵	1	2	yes	—
1896	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1897	C₂²×C₄	C₂⁵	1	2	yes	—
1898	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1899	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1900	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1901	C₂²×C₄	C₂⁵	1	2	yes	—
1902	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1903	C₂²×C₄	C₂⁵	1	2	yes	—
1904	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1905	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1906	C₂²×C₄	C₂⁵	1	2	yes	—
1907	C₂²×C₄	C₂⁵	1	2	yes	—
1908	C₂²×C₄	C₂⁵	1	2	yes	—
1909	C₂²×C₄	C₂⁵	1	2	yes	—
1910	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1911	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1912	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1913	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1914	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1915	C₂²×C₄	C₂⁵	1	2	yes	—
1916	C₂²×C₄	C₂⁵	1	2	yes	—
1917	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1918	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1919	C₂²×C₄	C₂⁵	1	2	yes	—
1920	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1921	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1922	C₂²×C₄	C₂⁵	1	2	yes	—
1923	C₂²×C₄	C₂⁵	1	2	yes	—
1924	C₂²×C₄	C₂⁵	1	2	yes	—
1925	C₂²×C₄	C₂⁵	1	2	yes	—
1926	C₂²×C₄	C₂⁵	1	2	yes	—
1927	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1928	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1929	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1930	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1931	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1932	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1933	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1934	C₄⋊C₄	—	2	4	no	—
1935	C₄⋊C₄	—	2	4	no	—
1936	C₄⋊C₄	—	2	4	no	—
1937	C₄⋊C₄	—	2	4	no	—
1938	C₄⋊C₄	—	2	2	no	—
1939	C₄⋊C₄	—	2	2	no	—
1940	C₄⋊C₄	—	2	4	no	—
1941	C₄⋊C₄	—	2	4	no	—
1942	C₄⋊C₄	—	2	4	no	—
1943	C₄⋊C₄	—	2	2	no	—
1944	C₄⋊C₄	—	2	2	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	2	no	—
1952	C₄⋊C₄	—	2	2	no	—
1953	C₄⋊C₄	—	2	4	no	—
1954	C₄⋊C₄	—	2	2	no	—
1955	C₄⋊C₄	—	2	2	no	—
1956	C₄⋊C₄	—	2	2	no	—
1957	C₄⋊C₄	—	2	2	no	—
1958	C₄⋊C₄	—	2	2	no	—
1959	C₄⋊C₄	—	2	4	no	—
1960	C₄⋊C₄	—	2	4	no	—
1961	C₄⋊C₄	—	2	4	no	—
1962	C₄⋊C₄	—	2	2	no	—
1963	C₄⋊C₄	—	2	2	no	—
1964	C₄⋊C₄	—	2	2	no	—
1965	C₄⋊C₄	—	2	4	no	—
1966	C₄⋊C₄	—	2	4	no	—
1967	C₄⋊C₄	—	2	2	no	—
1968	C₄⋊C₄	—	2	4	no	—
1969	C₄⋊C₄	—	2	4	no	—
1970	C₄⋊C₄	—	2	4	no	—
1971	C₄⋊C₄	—	2	4	no	—
1972	C₄⋊C₄	—	2	4	no	—
1973	C₄⋊C₄	—	2	4	no	—
1974	C₄⋊C₄	—	2	2	no	—
1975	C₄⋊C₄	—	2	2	no	—
1976	C₄⋊C₄	—	2	2	no	—
1977	C₄⋊C₄	—	2	2	no	—
1978	C₄⋊C₄	—	2	4	no	—
1979	C₄⋊C₄	—	2	4	no	—
1980	C₄⋊C₄	—	2	4	no	—
1981	C₄⋊C₄	—	2	4	no	—
1982	C₄⋊C₄	—	2	4	no	—
1983	C₄⋊C₄	—	2	4	no	—
1984	C₄⋊C₄	—	2	4	no	—
1985	C₄⋊C₄	—	2	4	no	—
1986	C₄⋊C₄	—	2	4	no	—
1987	C₄⋊C₄	—	2	4	no	—
1988	C₄⋊C₄	—	2	4	no	—
1989	C₄⋊C₄	—	2	4	no	—
1990	C₄⋊C₄	—	2	4	no	—
1991	C₄⋊C₄	—	2	4	no	—
1992	C₄⋊C₄	—	2	4	no	—
1993	C₄⋊C₄	—	2	4	no	—
1994	C₄⋊C₄	—	2	4	no	—
1995	C₄⋊C₄	—	2	4	no	—
1996	C₄⋊C₄	—	2	4	no	—
1997	C₄⋊C₄	—	2	4	no	—
1998	C₄⋊C₄	—	2	4	no	—
1999	C₄⋊C₄	—	2	2	no	—
2000	C₄⋊C₄	—	2	4	no	—
2001	C₄⋊C₄	—	2	4	no	—
2002	C₄⋊C₄	—	2	2	no	—
2003	C₄⋊C₄	—	2	2	no	—
2004	C₄⋊C₄	—	2	2	no	—
2005	C₄⋊C₄	—	2	2	no	—
2006	C₄⋊C₄	—	2	2	no	—
2007	C₄⋊C₄	—	2	4	no	—
2008	C₄⋊C₄	—	2	2	no	—
2009	C₄⋊C₄	—	2	4	no	—
2010	C₄⋊C₄	—	2	2	no	—
2011	C₄⋊C₄	—	2	2	no	—
2012	C₄⋊C₄	—	4	1	no	—
2013	C₄⋊C₄	—	4	2	no	—
2014	C₄⋊C₄	—	4	1	no	—
2015	C₄⋊C₄	—	4	2	no	—
2016	C₄⋊C₄	—	4	2	no	—
2017	C₄⋊C₄	—	4	1	no	—
2018	C₄⋊C₄	—	4	2	no	—
2019	C₄⋊C₄	—	4	1	no	—
2020	C₄⋊C₄	—	4	1	no	—
2021	C₄⋊C₄	—	4	1	no	—
2022	C₄⋊C₄	—	4	1	no	—
2023	C₄⋊C₄	—	4	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	1	no	—
2032	C₄⋊C₄	—	4	1	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	1	no	—
2042	C₄⋊C₄	—	4	2	no	—
2043	C₄⋊C₄	—	4	2	no	—
2044	C₄⋊C₄	C₂×#41	1	4	yes	—
2045	C₄⋊C₄	C₂×#41	1	8	yes	—
2046	C₄⋊C₄	C₂×#41	1	4	yes	—
2047	C₄⋊C₄	C₂×#41	1	4	yes	—
2048	C₄⋊C₄	C₂×#41	1	8	yes	—
2049	C₄⋊C₄	C₂×#41	1	4	yes	—
2050	C₄⋊C₄	2₋¹⁺⁴	1	4	yes	—
2051	C₂²⋊C₄	—	2	2	no	—
2052	C₂²⋊C₄	—	2	2	no	—
2053	C₂²⋊C₄	—	2	2	no	—
2054	C₂²⋊C₄	—	2	2	no	—
2055	C₂²⋊C₄	—	2	4	no	—
2056	C₂²⋊C₄	—	2	4	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	4	no	—
2064	C₂²⋊C₄	—	2	4	no	—
2065	C₂²⋊C₄	—	2	4	no	—
2066	C₂²⋊C₄	—	2	4	no	—
2067	C₂²⋊C₄	—	2	2	no	—
2068	C₂²⋊C₄	—	2	2	no	—
2069	C₂²⋊C₄	—	2	2	no	—
2070	C₂²⋊C₄	—	2	2	no	—
2071	C₂²⋊C₄	—	2	2	no	—
2072	C₂²⋊C₄	—	2	4	no	—
2073	C₂²⋊C₄	—	2	4	no	—
2074	C₂²⋊C₄	—	2	4	no	—
2075	C₂²⋊C₄	—	2	4	no	—
2076	C₂²⋊C₄	—	2	4	no	—
2077	C₂²⋊C₄	—	2	2	no	—
2078	C₂²⋊C₄	—	2	2	no	—
2079	C₂²⋊C₄	—	2	2	no	—
2080	C₂²⋊C₄	—	2	2	no	—
2081	C₂²⋊C₄	—	2	2	no	—
2082	C₂²⋊C₄	—	2	2	no	—
2083	C₂²⋊C₄	—	2	2	no	—
2084	C₂²⋊C₄	—	2	2	no	—
2085	C₂²⋊C₄	—	4	1	no	—
2086	C₂²⋊C₄	—	4	1	no	—
2087	C₂²⋊C₄	—	4	1	no	—
2088	C₂²⋊C₄	—	4	1	no	—
2089	C₂²⋊C₄	—	4	1	no	—
2090	C₂²⋊C₄	—	4	2	no	—
2091	C₂²⋊C₄	—	4	2	no	—
2092	C₂²⋊C₄	—	4	2	no	—
2093	C₂²⋊C₄	—	4	1	no	—
2094	C₂²⋊C₄	—	4	1	no	—
2095	C₂²⋊C₄	—	4	2	no	—
2096	C₂²⋊C₄	—	4	1	no	—
2097	C₂²⋊C₄	—	4	1	no	—
2098	C₂²⋊C₄	—	4	2	no	—
2099	C₂²⋊C₄	—	4	2	no	—
2100	C₂²⋊C₄	—	4	1	no	—
2101	C₂²⋊C₄	—	4	1	no	—
2102	C₂²⋊C₄	—	4	1	no	—
2103	C₂²⋊C₄	C₂×#41	1	8	yes	—
2104	C₄²	—	2	4	no	—
2105	C₄²	—	2	2	no	—
2106	C₄²	—	2	4	no	—
2107	C₄²	—	2	2	no	—
2108	C₄²	—	2	2	no	—
2109	C₄²	—	2	4	no	—
2110	C₄²	—	2	2	no	—
2111	C₄²	—	2	2	no	—
2112	C₄²	—	2	2	no	—
2113	C₄²	—	2	4	no	—
2114	C₄²	—	2	4	no	—
2115	C₄²	—	2	4	no	—
2116	C₄²	—	2	4	no	—
2117	C₄²	—	2	4	no	—
2118	C₄²	—	2	4	no	—
2119	C₄²	—	2	4	no	—
2120	C₄²	—	2	4	no	—
2121	C₄²	—	2	4	no	—
2122	C₄²	—	2	2	no	—
2123	C₄²	—	2	2	no	—
2124	C₄²	—	2	2	no	—
2125	C₄²	—	2	4	no	—
2126	C₄²	—	2	4	no	—
2127	C₄²	—	2	4	no	—
2128	C₄²	—	2	2	no	—
2129	C₄²	—	2	2	no	—
2130	C₄²	—	2	2	no	—
2131	C₄²	—	2	4	no	—
2132	C₄²	—	2	4	no	—
2133	C₄²	—	2	4	no	—
2134	C₄²	—	2	4	no	—
2135	C₄²	—	2	2	no	—
2136	C₄²	—	2	2	no	—
2137	C₄²	—	2	4	no	—
2138	C₄²	—	2	2	no	—
2139	C₄²	—	2	2	no	—
2140	C₄²	—	2	4	no	—
2141	C₄²	—	2	4	no	—
2142	C₄²	—	2	4	no	—
2143	C₄²	—	2	2	no	—
2144	C₄²	—	2	2	no	—
2145	C₄²	—	2	4	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	1	no	—
2152	C₄²	—	4	1	no	—
2153	C₄²	—	4	2	no	—
2154	C₄²	—	4	1	no	—
2155	C₄²	—	4	1	no	—
2156	C₄²	—	4	1	no	—
2157	C₄²	—	4	2	no	—
2158	C₄²	—	4	2	no	—
2159	C₄²	—	4	2	no	—
2160	C₄²	—	4	1	no	—
2161	C₄²	—	4	2	no	—
2162	C₄²	—	4	1	no	—
2163	C₄²	—	4	2	no	—
2164	C₄²	—	4	2	no	—
2165	C₄²	—	4	2	no	—
2166	C₄²	—	4	2	no	—
2167	C₄²	—	4	2	no	—
2168	C₄²	—	4	2	no	—
2169	C₄²	—	4	2	no	—
2170	C₄²	—	4	1	no	—
2171	C₄²	—	4	2	no	—
2172	C₄²	C₂×#41	1	4	yes	—
2173	C₄²	C₂×#41	1	8	yes	—
2174	C₄²	C₂×#41	1	4	yes	—
2175	C₄²	C₂×#41	1	8	yes	—
2176	C₄²	C₂×#41	1	8	yes	—
2177	C₂³	—	2	1	no	—
2178	C₂³	—	2	1	no	—
2179	C₂³	—	2	1	no	—
2180	C₂³	—	2	1	no	—
2181	C₂³	—	2	1	no	—
2182	C₂³	—	2	1	no	—
2183	C₂³	—	2	1	no	—
2184	C₂³	—	2	1	no	—
2185	C₂³	—	2	1	no	—
2186	C₂³	—	2	1	no	—
2187	C₂³	—	2	1	no	—
2188	C₂³	—	2	1	no	—
2189	C₂³	—	2	1	no	—
2190	C₂³	—	2	1	no	—
2191	C₂³	—	2	1	no	—
2192	C₂³	—	2	1	no	—
2193	C₂³	—	2	1	no	—
2194	C₂³	—	2	1	no	—
2195	C₂³	—	2	1	no	—
2196	C₂³	—	2	1	no	—
2197	C₂³	C₂²×#41	1	2	yes	—
2198	C₂³	C₂⁶	1	1	yes	characteristic
2199	Q₈	—	2	16	no	—
2200	Q₈	—	2	8	no	—
2201	Q₈	—	2	8	no	—
2202	Q₈	—	4	8	no	—
2203	Q₈	—	4	4	no	—
2204	Q₈	—	4	8	no	—
2205	Q₈	—	4	4	no	—
2206	Q₈	—	4	4	no	—
2207	Q₈	—	8	4	no	—
2208	D₄	—	4	4	no	—
2209	D₄	—	8	2	no	—
2210	D₄	—	8	2	no	—
2211	C₂×C₄	—	2	16	no	—
2212	C₂×C₄	—	2	1	no	—
2213	C₂×C₄	—	2	1	no	—
2214	C₂×C₄	—	2	1	no	—
2215	C₂×C₄	—	2	1	no	—
2216	C₂×C₄	—	2	2	no	—
2217	C₂×C₄	—	2	2	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	1	no	—
2224	C₂×C₄	—	2	2	no	—
2225	C₂×C₄	—	2	1	no	—
2226	C₂×C₄	—	2	1	no	—
2227	C₂×C₄	—	2	2	no	—
2228	C₂×C₄	—	2	2	no	—
2229	C₂×C₄	—	2	2	no	—
2230	C₂×C₄	—	2	1	no	—
2231	C₂×C₄	—	2	1	no	—
2232	C₂×C₄	—	2	2	no	—
2233	C₂×C₄	—	2	1	no	—
2234	C₂×C₄	—	2	1	no	—
2235	C₂×C₄	—	2	1	no	—
2236	C₂×C₄	—	2	2	no	—
2237	C₂×C₄	—	2	1	no	—
2238	C₂×C₄	—	2	1	no	—
2239	C₂×C₄	—	2	2	no	—
2240	C₂×C₄	—	2	1	no	—
2241	C₂×C₄	—	2	1	no	—
2242	C₂×C₄	—	2	8	no	—
2243	C₂×C₄	—	2	1	no	—
2244	C₂×C₄	—	2	1	no	—
2245	C₂×C₄	—	2	1	no	—
2246	C₂×C₄	—	2	1	no	—
2247	C₂×C₄	—	2	1	no	—
2248	C₂×C₄	—	2	1	no	—
2249	C₂×C₄	—	2	2	no	—
2250	C₂×C₄	—	2	1	no	—
2251	C₂×C₄	—	2	1	no	—
2252	C₂×C₄	—	2	1	no	—
2253	C₂×C₄	—	2	1	no	—
2254	C₂×C₄	—	2	1	no	—
2255	C₂×C₄	—	2	1	no	—
2256	C₂×C₄	—	2	2	no	—
2257	C₂×C₄	—	2	1	no	—
2258	C₂×C₄	—	2	1	no	—
2259	C₂×C₄	—	2	2	no	—
2260	C₂×C₄	—	2	1	no	—
2261	C₂×C₄	—	2	1	no	—
2262	C₂×C₄	—	2	2	no	—
2263	C₂×C₄	—	2	2	no	—
2264	C₂×C₄	—	2	2	no	—
2265	C₂×C₄	—	2	2	no	—
2266	C₂×C₄	—	2	1	no	—
2267	C₂×C₄	—	2	1	no	—
2268	C₂×C₄	—	2	2	no	—
2269	C₂×C₄	—	2	2	no	—
2270	C₂×C₄	—	2	2	no	—
2271	C₂×C₄	—	2	2	no	—
2272	C₂×C₄	—	2	1	no	—
2273	C₂×C₄	—	2	1	no	—
2274	C₂×C₄	—	2	2	no	—
2275	C₂×C₄	—	2	2	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	1	no	—
2288	C₂×C₄	—	2	2	no	—
2289	C₂×C₄	—	2	1	no	—
2290	C₂×C₄	—	2	1	no	—
2291	C₂×C₄	—	2	1	no	—
2292	C₂×C₄	—	2	1	no	—
2293	C₂×C₄	—	2	1	no	—
2294	C₂×C₄	—	2	1	no	—
2295	C₂×C₄	—	2	2	no	—
2296	C₂×C₄	—	2	2	no	—
2297	C₂×C₄	—	2	2	no	—
2298	C₂×C₄	—	2	2	no	—
2299	C₂×C₄	—	2	1	no	—
2300	C₂×C₄	—	2	1	no	—
2301	C₂×C₄	—	2	1	no	—
2302	C₂×C₄	—	2	1	no	—
2303	C₂×C₄	—	2	1	no	—
2304	C₂×C₄	—	2	2	no	—
2305	C₂×C₄	—	2	1	no	—
2306	C₂×C₄	—	2	1	no	—
2307	C₂×C₄	—	2	2	no	—
2308	C₂×C₄	—	2	2	no	—
2309	C₂×C₄	—	2	1	no	—
2310	C₂×C₄	—	2	1	no	—
2311	C₂×C₄	—	2	1	no	—
2312	C₂×C₄	—	2	2	no	—
2313	C₂×C₄	—	2	1	no	—
2314	C₂×C₄	—	2	1	no	—
2315	C₂×C₄	—	2	2	no	—
2316	C₂×C₄	—	2	1	no	—
2317	C₂×C₄	—	2	2	no	—
2318	C₂×C₄	—	2	1	no	—
2319	C₂×C₄	—	2	2	no	—
2320	C₂×C₄	—	2	1	no	—
2321	C₂×C₄	—	2	2	no	—
2322	C₂×C₄	—	2	1	no	—
2323	C₂×C₄	—	2	1	no	—
2324	C₂×C₄	—	2	2	no	—
2325	C₂×C₄	—	2	1	no	—
2326	C₂×C₄	—	2	1	no	—
2327	C₂×C₄	—	4	4	no	—
2328	C₂×C₄	—	4	4	no	—
2329	C₂×C₄	—	4	4	no	—
2330	C₂×C₄	—	4	4	no	—
2331	C₂×C₄	—	4	4	no	—
2332	C₂×C₄	—	8	4	no	—
2333	C₂×C₄	—	8	4	no	—
2334	C₂×C₄	—	8	2	no	—
2335	C₂×C₄	C₂²×#41	1	4	yes	—
2336	C₂×C₄	C₂²×#41	1	2	yes	—
2337	C₂×C₄	C₂²×#41	1	4	yes	—
2338	C₂×C₄	C₂²×#41	1	2	yes	—
2339	C₂×C₄	C₂²×#41	1	2	yes	—
2340	C₂×C₄	C₂²×#41	1	4	yes	—
2341	C₂×C₄	C₂²×#41	1	4	yes	—
2342	C₂×C₄	C₂²×#41	1	4	yes	—
2343	C₂×C₄	C₂²×#41	1	4	yes	—
2344	C₂×C₄	C₂²×#41	1	2	yes	—
2345	C₂×C₄	C₂²×#41	1	2	yes	—
2346	C₂×C₄	C₂²×#41	1	2	yes	—
2347	C₂×C₄	C₂²×#41	1	2	yes	—
2348	C₂×C₄	C₂²×#41	1	2	yes	—
2349	C₂×C₄	C₂×2₋¹⁺⁴	1	2	yes	—
2350	C₂×C₄	C₂×2₋¹⁺⁴	1	2	yes	—
2351	C₂×C₄	C₂×2₋¹⁺⁴	1	2	yes	—
2352	C₂×C₄	#585	1	2	yes	—
2353	C₂²	—	2	2	no	—
2354	C₂²	—	2	2	no	—
2355	C₂²	—	2	2	no	—
2356	C₂²	—	4	1	no	—
2357	C₂²	—	4	1	no	—
2358	C₂²	—	4	1	no	—
2359	C₂²	—	4	1	no	—
2360	C₂²	—	4	1	no	—
2361	C₂²	—	4	1	no	—
2362	C₂²	—	4	1	no	—
2363	C₂²	—	4	1	no	—
2364	C₂²	—	4	1	no	—
2365	C₂²	—	4	1	no	—
2366	C₂²	—	4	1	no	—
2367	C₂²	—	4	1	no	—
2368	C₂²	—	4	1	no	—
2369	C₂²	—	4	1	no	—
2370	C₂²	—	4	1	no	—
2371	C₂²	—	4	1	no	—
2372	C₂²	—	4	1	no	—
2373	C₂²	—	4	1	no	—
2374	C₂²	C₂³×#41	1	1	yes	characteristic
2375	C₂²	C₂³×#41	1	1	yes	characteristic
2376	C₂²	C₂³×#41	1	1	yes	characteristic
2377	C₂²	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
2378	C₂²	C₂×#585	1	1	yes	characteristic
2379	C₂²	2₋¹⁺⁶	1	1	yes	characteristic
2380	C₂²	2₋¹⁺⁶	1	1	yes	characteristic
2381	C₄	—	2	4	no	—
2382	C₄	—	2	2	no	—
2383	C₄	—	2	2	no	—
2384	C₄	—	2	2	no	—
2385	C₄	—	2	2	no	—
2386	C₄	—	2	4	no	—
2387	C₄	—	2	4	no	—
2388	C₄	—	2	2	no	—
2389	C₄	—	2	2	no	—
2390	C₄	—	2	2	no	—
2391	C₄	—	2	4	no	—
2392	C₄	—	2	2	no	—
2393	C₄	—	2	4	no	—
2394	C₄	—	2	4	no	—
2395	C₄	—	2	2	no	—
2396	C₄	—	4	1	no	—
2397	C₄	—	4	1	no	—
2398	C₄	—	4	1	no	—
2399	C₄	—	4	2	no	—
2400	C₄	—	4	2	no	—
2401	C₄	—	4	2	no	—
2402	C₄	—	4	1	no	—
2403	C₄	—	4	1	no	—
2404	C₄	—	4	1	no	—
2405	C₄	—	4	1	no	—
2406	C₄	—	4	1	no	—
2407	C₄	—	4	1	no	—
2408	C₄	—	4	1	no	—
2409	C₄	—	4	1	no	—
2410	C₄	—	4	2	no	—
2411	C₄	—	4	2	no	—
2412	C₄	—	4	1	no	—
2413	C₄	—	4	1	no	—
2414	C₄	—	4	2	no	—
2415	C₄	—	4	1	no	—
2416	C₄	—	4	2	no	—
2417	C₄	—	4	1	no	—
2418	C₄	—	4	2	no	—
2419	C₄	—	4	1	no	—
2420	C₄	—	4	1	no	—
2421	C₄	—	4	1	no	—
2422	C₄	—	4	2	no	—
2423	C₄	—	4	2	no	—
2424	C₄	#3444	1	4	yes	—
2425	C₂	—	4	2	no	—
2426	C₂	—	8	1	no	—
2427	C₂	—	8	1	no	—
2428	C₂	C₂×#3444	1	1	yes	characteristic
2429	C₂	#62805	1	1	yes	characteristic
2430	C₂	#62850	1	1	yes	characteristic
2431	C₂	#62993	1	1	yes	characteristic
2432	C₂	#62998	1	1	yes	characteristic
2433	C₂	#63001	1	1	yes	characteristic
2434	C₂	#63009	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. #36554	C₂	semidirect
2. #36545	C₂	semidirect
3. #36491	C₂	semidirect
5. #36398	C₂	semidirect
6. #36383	C₂	semidirect
7. #36378	C₂	semidirect
8. #36357	C₂	semidirect
9. #36311	C₂	semidirect
10. #36311	C₂	semidirect
11. #36284	C₂	semidirect
13. #36050	C₂	semidirect
14. #36027	C₂	semidirect
15. #36007	C₂	semidirect
16. #36007	C₂	semidirect
17. #35949	C₂	semidirect
18. #35902	C₂	semidirect
20. #35870	C₂	semidirect
21. #35867	C₂	semidirect
22. #35803	C₂	semidirect
23. #35746	C₂	semidirect
24. #35726	C₂	semidirect
25. #35671	C₂	semidirect
26. #35665	C₂	semidirect
27. #35637	C₂	semidirect
28. #35582	C₂	semidirect
29. #35511	C₂	semidirect
30. #35511	C₂	semidirect
31. #35489	C₂	semidirect
33. #35323	C₂	semidirect
34. #35217	C₂	semidirect
35. #35126	C₂	semidirect
36. #35113	C₂	semidirect
37. #34920	C₂	semidirect
38. #34916	C₂	semidirect
40. #34867	C₂	semidirect
41. #34328	C₂	semidirect
42. #34322	C₂	semidirect
43. #34307	C₂	semidirect
44. #34300	C₂	semidirect
45. #34286	C₂	semidirect
46. #34154	C₂	semidirect
47. C₄×#519	C₂	semidirect

Maximal subgroups

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

subgroup	index
#36554	2
#36545	2
#36491	2
#36473	2
#36398	2
#36383	2
#36378	2
#36357	2
#36311	2
#36284	2
#36232	2
#36050	2
#36027	2
#36007	2
#35949	2
#35902	2
#35896	2
#35870	2
#35867	2
#35803	2
#35746	2
#35726	2
#35671	2
#35665	2
#35637	2
#35582	2
#35511	2
#35489	2
#35476	2
#35323	2
#35217	2
#35126	2
#35113	2
#34920	2
#34916	2
#34884	2
#34867	2
#34328	2
#34322	2
#34307	2
#34300	2
#34286	2
#34154	2
C₄×#519	2