Subgroups — #8678847

Order 512.

4601 conjugacy classes of subgroups.

The subgroup lattice has 2479 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#59655	C₂	1	1	yes	maximal, characteristic, complemented
2	#59502	C₂	1	1	yes	maximal, characteristic, complemented
3	#59485	C₂	1	1	yes	maximal, characteristic, complemented
4	#59383	C₂	1	1	yes	maximal, characteristic, complemented
5	#59151	C₂	1	1	yes	maximal, characteristic, complemented
6	#59144	C₂	1	1	yes	maximal, characteristic, complemented
7	#58287	C₂	1	2	yes	maximal, complemented
8	#58057	C₂	1	2	yes	maximal, complemented
9	#57327	C₂	1	2	yes	maximal, complemented
10	#56818	C₂	1	2	yes	maximal, complemented
11	#55488	C₂	1	2	yes	maximal, complemented
12	#55477	C₂	1	2	yes	maximal, complemented
13	#53226	C₂	1	2	yes	maximal, complemented
14	#52302	C₂	1	1	yes	maximal, characteristic, complemented
15	#51542	C₂	1	2	yes	maximal, complemented
16	#51330	C₂	1	2	yes	maximal, complemented
17	#50532	C₂	1	2	yes	maximal, complemented
18	#49755	C₂	1	2	yes	maximal, complemented
19	#48008	C₂	1	2	yes	maximal, complemented
20	#47976	C₂	1	2	yes	maximal, complemented
21	#45702	C₂	1	1	yes	maximal, characteristic, complemented
22	#45648	C₂	1	1	yes	maximal, characteristic, complemented
23	#45485	C₂	1	1	yes	maximal, characteristic, complemented
24	#45424	C₂	1	1	yes	maximal, characteristic, complemented
25	#45419	C₂	1	1	yes	maximal, characteristic, complemented
26	#45407	C₂	1	1	yes	maximal, characteristic, complemented
27	#45292	C₂	1	1	yes	maximal, characteristic, complemented
28	#45080	C₂	1	1	yes	maximal, characteristic, complemented
29	#45021	C₂	1	1	yes	maximal, characteristic, complemented
30	#42841	C₂	1	1	yes	maximal, characteristic, complemented
31	#42825	C₂	1	1	yes	maximal, characteristic, complemented
32	#42823	C₂	1	1	yes	maximal, characteristic, complemented
33	#42820	C₂	1	1	yes	maximal, characteristic, complemented
34	#42623	C₂	1	1	yes	maximal, characteristic, complemented
35	#42482	C₂	1	1	yes	maximal, characteristic
36	#40483	C₂	1	2	yes	maximal, complemented
37	#40197	C₂	1	1	yes	maximal, characteristic, complemented
38	#40119	C₂	1	1	yes	maximal, characteristic, complemented
39	#40099	C₂	1	1	yes	maximal, characteristic, complemented
40	#39626	C₂	1	1	yes	maximal, characteristic, complemented
41	#39435	C₂	1	2	yes	maximal, complemented
42	#39407	C₂	1	1	yes	maximal, characteristic, complemented
43	#39337	C₂	1	1	yes	maximal, characteristic
44	#38800	C₂	1	2	yes	maximal, complemented
45	Q₈×C₂²⋊Q₈	C₂	1	1	yes	maximal, characteristic, complemented
46	#36435	C₂	1	1	yes	maximal, characteristic, complemented
47	#36422	C₂	1	1	yes	maximal, characteristic
48	C₂×#563	C₂²	1	2	yes	—
49	C₂×Q₈²	C₂²	1	1	yes	characteristic
50	C₂×#557	C₂²	1	1	yes	characteristic
51	C₂×#554	C₂²	1	1	yes	characteristic
52	C₂×#547	C₂²	1	1	yes	characteristic
53	C₂×#541	C₂²	1	2	yes	—
54	C₂×#536	C₂²	1	2	yes	—
55	C₂²×C₄⋊Q₈	C₂²	1	1	yes	characteristic
56	C₂²×C₄×Q₈	C₂²	1	1	yes	characteristic
57	#2859	C₂²	1	1	yes	characteristic
58	#2857	C₂²	1	2	yes	—
59	#2857	C₂²	1	1	yes	characteristic
60	#2854	C₂²	1	1	yes	characteristic
61	#2854	C₂²	1	1	yes	characteristic
62	#2853	C₂²	1	2	yes	—
63	#2851	C₂²	1	1	yes	characteristic
64	#2851	C₂²	1	2	yes	—
65	#2844	C₂²	1	2	yes	—
66	#2843	C₂²	1	2	yes	—
67	#2843	C₂²	1	2	yes	—
68	#2838	C₂²	1	2	yes	—
69	#2838	C₂²	1	2	yes	—
70	#2833	C₂²	1	2	yes	—
71	#2833	C₂²	1	2	yes	—
72	#2817	C₂²	1	2	yes	—
73	#2814	C₂²	1	2	yes	—
74	#2807	C₂²	1	2	yes	—
75	#2806	C₂²	1	2	yes	—
76	#2806	C₂²	1	2	yes	—
77	#2805	C₂²	1	2	yes	—
78	#2802	C₂²	1	2	yes	—
79	#2802	C₂²	1	2	yes	—
80	#2799	C₂²	1	1	yes	characteristic
81	#2798	C₂²	1	2	yes	—
82	#2794	C₂²	1	1	yes	characteristic
83	#2793	C₂²	1	2	yes	—
84	#2793	C₂²	1	2	yes	—
85	#2793	C₂²	1	2	yes	—
86	#2792	C₂²	1	2	yes	—
87	#2792	C₂²	1	2	yes	—
88	#2792	C₂²	1	2	yes	—
89	#2791	C₂²	1	2	yes	—
90	#2791	C₂²	1	2	yes	—
91	#2791	C₂²	1	2	yes	—
92	#2789	C₂²	1	2	yes	—
93	#2787	C₂²	1	2	yes	—
94	#2787	C₂²	1	2	yes	—
95	#2783	C₂²	1	2	yes	—
96	#2781	C₂²	1	2	yes	—
97	#2777	C₂²	1	2	yes	—
98	#2777	C₂²	1	2	yes	—
99	#2776	C₂²	1	2	yes	—
100	#2776	C₂²	1	1	yes	characteristic
101	#2776	C₂²	1	1	yes	characteristic
102	#2775	C₂²	1	2	yes	—
103	#2774	C₂²	1	2	yes	—
104	#2770	C₂²	1	1	yes	characteristic
105	#2770	C₂²	1	1	yes	characteristic
106	#2770	C₂²	1	2	yes	—
107	#2768	C₂²	1	2	yes	—
108	#2765	C₂²	1	2	yes	—
109	#2764	C₂²	1	2	yes	—
110	#2763	C₂²	1	2	yes	—
111	#2762	C₂²	1	2	yes	—
112	#2762	C₂²	1	2	yes	—
113	#2759	C₂²	1	2	yes	—
114	#2759	C₂²	1	2	yes	—
115	#2755	C₂²	1	2	yes	—
116	#2755	C₂²	1	2	yes	—
117	#2755	C₂²	1	2	yes	—
118	#2754	C₂²	1	2	yes	—
119	#2747	C₂²	1	2	yes	—
120	#2745	C₂²	1	1	yes	characteristic
121	#2745	C₂²	1	1	yes	characteristic
122	#2745	C₂²	1	2	yes	—
123	#2744	C₂²	1	2	yes	—
124	#2741	C₂²	1	2	yes	—
125	#2739	C₂²	1	2	yes	—
126	#2738	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	#2732	C₂²	1	2	yes	—
132	#2729	C₂²	1	2	yes	—
133	#2729	C₂²	1	2	yes	—
134	#2729	C₂²	1	1	yes	characteristic
135	#2729	C₂²	1	1	yes	characteristic
136	#2729	C₂²	1	2	yes	—
137	#2728	C₂²	1	2	yes	—
138	#2728	C₂²	1	1	yes	characteristic
139	#2726	C₂²	1	2	yes	—
140	#2725	C₂²	1	2	yes	—
141	#2724	C₂²	1	2	yes	—
142	#2722	C₂²	1	2	yes	—
143	#2721	C₂²	1	2	yes	—
144	#2720	C₂²	1	2	yes	—
145	#2720	C₂²	1	2	yes	—
146	#2719	C₂²	1	2	yes	—
147	#2719	C₂²	1	2	yes	—
148	#2718	C₂²	1	2	yes	—
149	#2718	C₂²	1	2	yes	—
150	#2717	C₂²	1	2	yes	—
151	#2717	C₂²	1	2	yes	—
152	#2716	C₂²	1	2	yes	—
153	#2715	C₂²	1	2	yes	—
154	#2715	C₂²	1	2	yes	—
155	#2713	C₂²	1	2	yes	—
156	#2713	C₂²	1	2	yes	—
157	#2713	C₂²	1	2	yes	—
158	#2713	C₂²	1	2	yes	—
159	#2713	C₂²	1	2	yes	—
160	#2713	C₂²	1	2	yes	—
161	#2704	C₂²	1	2	yes	—
162	#2704	C₂²	1	2	yes	—
163	#2698	C₂²	1	2	yes	—
164	#2698	C₂²	1	2	yes	—
165	#2698	C₂²	1	2	yes	—
166	#2698	C₂²	1	2	yes	—
167	#2698	C₂²	1	2	yes	—
168	#2698	C₂²	1	2	yes	—
169	#2695	C₂²	1	1	yes	characteristic
170	#2695	C₂²	1	2	yes	—
171	#2695	C₂²	1	1	yes	characteristic
172	#2695	C₂²	1	2	yes	—
173	#2694	C₂²	1	2	yes	—
174	#2694	C₂²	1	2	yes	—
175	#2690	C₂²	1	2	yes	—
176	#2689	C₂²	1	1	yes	characteristic
177	#2689	C₂²	1	1	yes	characteristic
178	#2689	C₂²	1	2	yes	—
179	#2687	C₂²	1	2	yes	—
180	#2687	C₂²	1	2	yes	—
181	#2680	C₂²	1	2	yes	—
182	#2680	C₂²	1	1	yes	characteristic
183	#2680	C₂²	1	2	yes	—
184	#2680	C₂²	1	2	yes	—
185	#2680	C₂²	1	2	yes	—
186	#2680	C₂²	1	2	yes	—
187	#2677	C₂²	1	2	yes	—
188	#2677	C₂²	1	2	yes	—
189	#2677	C₂²	1	2	yes	—
190	#2674	C₂²	1	2	yes	—
191	#2674	C₂²	1	2	yes	—
192	#2667	C₂²	1	2	yes	—
193	#2666	C₂²	1	2	yes	—
194	#2666	C₂²	1	2	yes	—
195	#2666	C₂²	1	2	yes	—
196	#2666	C₂²	1	2	yes	—
197	#2664	C₂²	1	2	yes	—
198	#2663	C₂²	1	2	yes	—
199	#2660	C₂²	1	2	yes	—
200	#2660	C₂²	1	1	yes	characteristic
201	#2660	C₂²	1	2	yes	—
202	#2660	C₂²	1	2	yes	—
203	#2655	C₂²	1	2	yes	—
204	#2654	C₂²	1	2	yes	—
205	#2649	C₂²	1	2	yes	—
206	#2647	C₂²	1	1	yes	characteristic
207	#2634	C₂²	1	2	yes	—
208	#2627	C₂²	1	2	yes	—
209	#2625	C₂²	1	2	yes	—
210	#2616	C₂²	1	2	yes	—
211	#2614	C₂²	1	2	yes	—
212	#2611	C₂²	1	2	yes	—
213	#2611	C₂²	1	2	yes	—
214	#2607	C₂²	1	2	yes	—
215	#2607	C₂²	1	2	yes	—
216	#2606	C₂²	1	2	yes	—
217	#2605	C₂²	1	2	yes	—
218	#2604	C₂²	1	2	yes	—
219	#2594	C₂²	1	2	yes	—
220	#2590	C₂²	1	2	yes	—
221	#2589	C₂²	1	2	yes	—
222	#2589	C₂²	1	2	yes	—
223	#2588	C₂²	1	2	yes	—
224	#2582	C₂²	1	1	yes	characteristic
225	#2582	C₂²	1	2	yes	—
226	#2582	C₂²	1	1	yes	characteristic
227	#2582	C₂²	1	1	yes	characteristic
228	#2581	C₂²	1	1	yes	characteristic
229	#2581	C₂²	1	2	yes	—
230	#2578	C₂²	1	2	yes	—
231	#2578	C₂²	1	2	yes	—
232	#2575	C₂²	1	2	yes	—
233	#2575	C₂²	1	2	yes	—
234	#2575	C₂²	1	2	yes	—
235	#2570	C₂²	1	1	yes	characteristic
236	#2570	C₂²	1	1	yes	characteristic
237	#2568	C₂²	1	1	yes	characteristic
238	#2567	C₂²	1	1	yes	characteristic
239	#2567	C₂²	1	1	yes	characteristic
240	#2567	C₂²	1	1	yes	characteristic
241	#2567	C₂²	1	1	yes	characteristic
242	#2567	C₂²	1	2	yes	—
243	#2565	C₂²	1	1	yes	characteristic
244	#2565	C₂²	1	2	yes	—
245	#2562	C₂²	1	1	yes	characteristic
246	#2558	C₂²	1	2	yes	—
247	#2558	C₂²	1	2	yes	—
248	#2556	C₂²	1	2	yes	—
249	#2553	C₂²	1	2	yes	—
250	#2553	C₂²	1	2	yes	—
251	#2553	C₂²	1	2	yes	—
252	#2553	C₂²	1	2	yes	—
253	#2553	C₂²	1	2	yes	—
254	#2553	C₂²	1	2	yes	—
255	#2552	C₂²	1	1	yes	characteristic
256	#2552	C₂²	1	1	yes	characteristic
257	#2552	C₂²	1	1	yes	characteristic
258	#2552	C₂²	1	2	yes	—
259	#2551	C₂²	1	1	yes	characteristic
260	#2551	C₂²	1	1	yes	characteristic
261	#2551	C₂²	1	2	yes	—
262	#2551	C₂²	1	1	yes	characteristic
263	#2551	C₂²	1	1	yes	characteristic
264	#2550	C₂²	1	1	yes	characteristic
265	#2550	C₂²	1	1	yes	characteristic
266	#2550	C₂²	1	1	yes	characteristic
267	#2550	C₂²	1	2	yes	—
268	#2550	C₂²	1	2	yes	—
269	#2546	C₂²	1	1	yes	characteristic
270	#2546	C₂²	1	2	yes	—
271	#2538	C₂²	1	1	yes	characteristic
272	#2538	C₂²	1	1	yes	characteristic
273	#2533	C₂²	1	2	yes	—
274	#2532	C₂²	1	2	yes	—
275	#2532	C₂²	1	2	yes	—
276	#2528	C₂²	1	2	yes	—
277	#2527	C₂²	1	2	yes	—
278	#2527	C₂²	1	2	yes	—
279	#2525	C₂²	1	2	yes	—
280	#2523	C₂²	1	2	yes	—
281	#2521	C₂²	1	2	yes	—
282	#2521	C₂²	1	2	yes	—
283	#2519	C₂²	1	2	yes	—
284	#2518	C₂²	1	2	yes	—
285	#2515	C₂²	1	2	yes	—
286	#2515	C₂²	1	2	yes	—
287	#2513	C₂²	1	1	yes	characteristic
288	#2513	C₂²	1	1	yes	characteristic
289	#2512	C₂²	1	1	yes	characteristic
290	#2512	C₂²	1	1	yes	characteristic
291	#2509	C₂²	1	1	yes	characteristic
292	#2509	C₂²	1	1	yes	characteristic
293	#2508	C₂²	1	1	yes	characteristic
294	#2508	C₂²	1	1	yes	characteristic
295	#2507	C₂²	1	1	yes	characteristic
296	#2507	C₂²	1	1	yes	characteristic
297	#2506	C₂²	1	1	yes	characteristic
298	#2506	C₂²	1	1	yes	characteristic
299	#2506	C₂²	1	1	yes	characteristic
300	#2506	C₂²	1	1	yes	characteristic
301	#2501	C₂²	1	1	yes	characteristic
302	#2497	C₂²	1	1	yes	characteristic
303	#2496	C₂²	1	1	yes	characteristic
304	#2496	C₂²	1	1	yes	characteristic
305	#2496	C₂²	1	1	yes	characteristic
306	#2496	C₂²	1	1	yes	characteristic
307	#2494	C₂²	1	1	yes	characteristic
308	#2494	C₂²	1	1	yes	characteristic
309	#2494	C₂²	1	1	yes	characteristic
310	#2492	C₂²	1	2	yes	—
311	#2491	C₂²	1	1	yes	characteristic
312	#2491	C₂²	1	1	yes	characteristic
313	#2489	C₂²	1	2	yes	—
314	#2486	C₂²	1	1	yes	characteristic
315	#2478	C₂²	1	2	yes	—
316	#2478	C₂²	1	2	yes	—
317	#2473	C₂²	1	2	yes	—
318	#2473	C₂²	1	2	yes	—
319	#2473	C₂²	1	2	yes	—
320	#2465	C₂²	1	2	yes	—
321	#2465	C₂²	1	2	yes	—
322	#2465	C₂²	1	2	yes	—
323	#2462	C₂²	1	2	yes	—
324	#2462	C₂²	1	2	yes	—
325	#2458	C₂²	1	2	yes	—
326	#2458	C₂²	1	2	yes	—
327	#2454	C₂²	1	1	yes	characteristic
328	#2453	C₂²	1	1	yes	characteristic
329	#2453	C₂²	1	1	yes	characteristic
330	#2453	C₂²	1	1	yes	characteristic
331	#2453	C₂²	1	2	yes	—
332	#2452	C₂²	1	1	yes	characteristic
333	#2452	C₂²	1	1	yes	characteristic
334	#2452	C₂²	1	1	yes	characteristic
335	#2451	C₂²	1	1	yes	characteristic
336	#2451	C₂²	1	1	yes	characteristic
337	#2451	C₂²	1	2	yes	—
338	#2451	C₂²	1	1	yes	characteristic
339	#2451	C₂²	1	1	yes	characteristic
340	#2451	C₂²	1	1	yes	characteristic
341	#2451	C₂²	1	1	yes	characteristic
342	#2451	C₂²	1	2	yes	—
343	#2451	C₂²	1	2	yes	—
344	#2451	C₂²	1	1	yes	characteristic
345	#2451	C₂²	1	2	yes	—
346	#2448	C₂²	1	1	yes	characteristic
347	#2448	C₂²	1	1	yes	characteristic
348	#2448	C₂²	1	1	yes	characteristic
349	#2448	C₂²	1	1	yes	characteristic
350	#2446	C₂²	1	2	yes	—
351	#2442	C₂²	1	1	yes	characteristic
352	#2442	C₂²	1	1	yes	characteristic
353	#2442	C₂²	1	1	yes	characteristic
354	#2442	C₂²	1	2	yes	—
355	#2441	C₂²	1	2	yes	—
356	#2440	C₂²	1	2	yes	—
357	#2440	C₂²	1	1	yes	characteristic
358	#2440	C₂²	1	2	yes	—
359	#2440	C₂²	1	1	yes	characteristic
360	#2440	C₂²	1	2	yes	—
361	#2440	C₂²	1	1	yes	characteristic
362	#2440	C₂²	1	2	yes	—
363	#2440	C₂²	1	2	yes	—
364	#2440	C₂²	1	1	yes	characteristic
365	#2440	C₂²	1	2	yes	—
366	#2440	C₂²	1	1	yes	characteristic
367	#2436	C₂²	1	1	yes	characteristic
368	#2434	C₂²	1	2	yes	—
369	#2434	C₂²	1	2	yes	—
370	#2434	C₂²	1	2	yes	—
371	#2429	C₂²	1	2	yes	—
372	#2429	C₂²	1	2	yes	—
373	#2429	C₂²	1	2	yes	—
374	#2429	C₂²	1	2	yes	—
375	#2426	C₂²	1	1	yes	characteristic
376	#2426	C₂²	1	1	yes	characteristic
377	#2423	C₂²	1	1	yes	characteristic
378	#2423	C₂²	1	2	yes	—
379	#2423	C₂²	1	1	yes	characteristic
380	#2423	C₂²	1	1	yes	characteristic
381	#2422	C₂²	1	1	yes	characteristic
382	#2422	C₂²	1	1	yes	characteristic
383	#2421	C₂²	1	1	yes	characteristic
384	#2420	C₂²	1	1	yes	characteristic
385	#2420	C₂²	1	1	yes	characteristic
386	#2413	C₂²	1	2	yes	—
387	#2413	C₂²	1	2	yes	—
388	#2409	C₂²	1	1	yes	characteristic
389	#2406	C₂²	1	2	yes	—
390	#2406	C₂²	1	2	yes	—
391	#2406	C₂²	1	2	yes	—
392	#2402	C₂²	1	1	yes	characteristic
393	#2402	C₂²	1	1	yes	characteristic
394	#2401	C₂²	1	1	yes	characteristic
395	#2401	C₂²	1	1	yes	characteristic
396	#2399	C₂²	1	1	yes	characteristic
397	#2398	C₂²	1	1	yes	characteristic
398	#2378	C₂²	1	2	yes	—
399	#2378	C₂²	1	2	yes	—
400	#2373	C₂²	1	2	yes	—
401	#2372	C₂²	1	2	yes	—
402	#2369	C₂²	1	1	yes	characteristic
403	#2367	C₂²	1	1	yes	characteristic
404	#2367	C₂²	1	1	yes	characteristic
405	#2367	C₂²	1	1	yes	characteristic
406	#2367	C₂²	1	1	yes	characteristic
407	#2365	C₂²	1	1	yes	characteristic
408	#2362	C₂²	1	2	yes	—
409	#2360	C₂²	1	2	yes	—
410	#2360	C₂²	1	1	yes	characteristic
411	#2360	C₂²	1	1	yes	characteristic
412	#2360	C₂²	1	1	yes	characteristic
413	#2360	C₂²	1	2	yes	—
414	#2360	C₂²	1	1	yes	characteristic
415	#2356	C₂²	1	1	yes	characteristic
416	#2356	C₂²	1	1	yes	characteristic
417	#2355	C₂²	1	1	yes	characteristic
418	#2355	C₂²	1	1	yes	characteristic
419	#2351	C₂²	1	1	yes	characteristic
420	#2351	C₂²	1	1	yes	characteristic
421	Q₈×C₄⋊C₄	C₂²	1	1	yes	characteristic
422	Q₈×C₄⋊C₄	C₂²	1	1	yes	characteristic
423	Q₈×C₄⋊C₄	C₂²	1	1	yes	characteristic
424	Q₈×C₄⋊C₄	C₂²	1	1	yes	characteristic
425	#2344	C₂²	1	1	yes	characteristic
426	#2344	C₂²	1	1	yes	characteristic
427	Q₈×C₂²⋊C₄	C₂²	1	2	yes	—
428	Q₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic
429	Q₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic
430	Q₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic
431	Q₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic
432	#2335	C₂²	1	2	yes	—
433	#2335	C₂²	1	2	yes	—
434	#2332	C₂²	1	2	yes	—
435	#2331	C₂²	1	2	yes	—
436	#2330	C₂²	1	1	yes	characteristic
437	#2326	C₂²	1	1	yes	characteristic
438	#2320	C₂²	1	1	yes	characteristic
439	#2320	C₂²	1	1	yes	characteristic
440	#2320	C₂²	1	1	yes	characteristic
441	#2319	C₂²	1	1	yes	characteristic
442	C₄×C₄⋊Q₈	C₂²	1	1	yes	characteristic
443	C₄×C₄⋊Q₈	C₂²	1	1	yes	characteristic
444	C₄×#126	C₂²	1	1	yes	characteristic
445	C₄×#126	C₂²	1	1	yes	characteristic
446	C₄×#124	C₂²	1	1	yes	characteristic
447	C₄×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
448	C₄×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
449	C₄×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
450	C₄×C₂²⋊Q₈	C₂²	1	2	yes	—
451	C₄×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
452	C₄×C₂²⋊Q₈	C₂²	1	2	yes	—
453	C₄×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
454	C₄×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
455	C₄×#123	C₂²	1	1	yes	characteristic
456	C₄×#123	C₂²	1	1	yes	characteristic
457	#2297	C₂²	1	2	yes	—
458	#2295	C₂²	1	1	yes	characteristic
459	C₂²×#41	C₂³	1	2	yes	—
460	C₂³×Q₈	C₂³	1	1	yes	characteristic
461	C₂³×Q₈	C₂³	1	2	yes	—
462	#563	—	4	8	no	—
463	Q₈²	—	4	4	no	—
464	#557	—	4	4	no	—
465	#554	—	4	4	no	—
466	#547	—	4	4	no	—
467	#541	—	4	8	no	—
468	#536	—	4	8	no	—
469	C₂×C₄⋊Q₈	—	4	4	no	—
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	1	yes	characteristic
477	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
478	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
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×#126	C₂³	1	1	yes	characteristic
490	C₂×#126	C₂³	1	2	yes	—
491	C₂×#126	C₂³	1	1	yes	characteristic
492	C₂×#126	C₂³	1	2	yes	—
493	C₂×#126	C₂³	1	2	yes	—
494	C₂×#126	C₂³	1	2	yes	—
495	C₂×#126	C₂³	1	2	yes	—
496	C₂×#126	C₂³	1	2	yes	—
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	2	yes	—
501	C₂×#125	C₂³	1	2	yes	—
502	C₂×#125	C₂³	1	2	yes	—
503	C₂×#125	C₂³	1	2	yes	—
504	C₂×#125	C₂³	1	2	yes	—
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×#124	C₂³	1	1	yes	characteristic
510	C₂×#124	C₂³	1	1	yes	characteristic
511	C₂×#124	C₂³	1	2	yes	—
512	C₂×#124	C₂³	1	2	yes	—
513	C₂×#123	C₂³	1	1	yes	characteristic
514	C₂×#123	C₂³	1	2	yes	—
515	C₂×#123	C₂³	1	2	yes	—
516	C₂×#123	C₂³	1	2	yes	—
517	C₂×#123	C₂³	1	2	yes	—
518	C₂×#123	C₂³	1	2	yes	—
519	C₂×#123	C₂³	1	2	yes	—
520	C₂×#123	C₂³	1	1	yes	characteristic
521	C₂×#123	C₂³	1	2	yes	—
522	C₂×#123	C₂³	1	2	yes	—
523	C₂×#123	C₂³	1	2	yes	—
524	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
525	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
526	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
527	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
528	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
529	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
530	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
531	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
532	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
533	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
534	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
535	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
536	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
537	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
538	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
539	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
540	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
541	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
542	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
543	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
544	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
545	C₂×#121	C₂³	1	1	yes	characteristic
546	C₂×#121	C₂³	1	1	yes	characteristic
547	C₂×C₄×Q₈	—	4	4	no	—
548	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
549	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
550	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
551	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
552	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
553	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
554	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
555	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
556	C₂×C₄×Q₈	C₂³	1	2	yes	—
557	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
558	C₂×C₄×Q₈	C₂³	1	2	yes	—
559	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
560	C₂×C₄×Q₈	C₂³	1	2	yes	—
561	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
562	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
563	C₂×C₄×Q₈	C₂³	1	2	yes	—
564	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
565	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
566	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
567	C₂×C₄×Q₈	C₂³	1	2	yes	—
568	C₂×C₄×Q₈	C₂³	1	2	yes	—
569	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
570	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
571	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
572	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
573	C₂×#117	C₂³	1	2	yes	—
574	C₂×#117	C₂³	1	2	yes	—
575	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
576	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
577	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
578	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
579	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
580	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
581	C₂²×C₄²	C₂³	1	2	yes	—
582	C₂²×C₄²	C₂³	1	1	yes	characteristic
583	C₂²×C₄²	C₂³	1	1	yes	characteristic
584	#401	C₂³	1	2	yes	—
585	#401	C₂³	1	2	yes	—
586	#401	C₂³	1	2	yes	—
587	#401	C₂³	1	1	yes	characteristic
588	#401	C₂³	1	1	yes	characteristic
589	#400	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
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	2	yes	—
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	2	yes	—
610	#400	C₂³	1	2	yes	—
611	#400	C₂³	1	2	yes	—
612	#400	C₂³	1	2	yes	—
613	#400	C₂³	1	2	yes	—
614	#400	C₂³	1	1	yes	characteristic
615	#400	C₂³	1	2	yes	—
616	#400	C₂³	1	2	yes	—
617	#400	C₂³	1	2	yes	—
618	#400	C₂³	1	1	yes	characteristic
619	#400	C₂³	1	2	yes	—
620	#400	C₂³	1	2	yes	—
621	#400	C₂³	1	1	yes	characteristic
622	#400	C₂³	1	2	yes	—
623	#400	C₂³	1	1	yes	characteristic
624	#400	C₂³	1	2	yes	—
625	#400	C₂³	1	2	yes	—
626	#400	C₂³	1	1	yes	characteristic
627	#400	C₂³	1	1	yes	characteristic
628	#400	C₂³	1	1	yes	characteristic
629	#400	C₂³	1	1	yes	characteristic
630	#400	C₂³	1	1	yes	characteristic
631	#400	C₂³	1	1	yes	characteristic
632	#400	C₂³	1	1	yes	characteristic
633	#400	C₂³	1	1	yes	characteristic
634	#400	C₂³	1	1	yes	characteristic
635	#399	C₂³	1	2	yes	—
636	#399	C₂³	1	2	yes	—
637	#399	C₂³	1	2	yes	—
638	#399	C₂³	1	2	yes	—
639	#399	C₂³	1	2	yes	—
640	#399	C₂³	1	2	yes	—
641	#399	C₂³	1	2	yes	—
642	#399	C₂³	1	2	yes	—
643	#399	C₂³	1	2	yes	—
644	#399	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	1	yes	characteristic
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	1	yes	characteristic
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	#398	C₂³	1	2	yes	—
688	#398	C₂³	1	2	yes	—
689	#398	C₂³	1	1	yes	characteristic
690	#398	C₂³	1	1	yes	characteristic
691	#398	C₂³	1	1	yes	characteristic
692	#398	C₂³	1	2	yes	—
693	#398	C₂³	1	2	yes	—
694	#398	C₂³	1	1	yes	characteristic
695	#398	C₂³	1	1	yes	characteristic
696	#398	C₂³	1	1	yes	characteristic
697	#398	C₂³	1	1	yes	characteristic
698	#398	C₂³	1	1	yes	characteristic
699	#398	C₂³	1	1	yes	characteristic
700	#398	C₂³	1	1	yes	characteristic
701	#398	C₂³	1	2	yes	—
702	#398	C₂³	1	2	yes	—
703	#398	C₂³	1	2	yes	—
704	#398	C₂³	1	2	yes	—
705	#398	C₂³	1	2	yes	—
706	#398	C₂³	1	2	yes	—
707	#398	C₂³	1	2	yes	—
708	#398	C₂³	1	2	yes	—
709	#398	C₂³	1	2	yes	—
710	#398	C₂³	1	2	yes	—
711	#398	C₂³	1	2	yes	—
712	#398	C₂³	1	2	yes	—
713	#398	C₂³	1	2	yes	—
714	#397	C₂³	1	2	yes	—
715	#397	C₂³	1	2	yes	—
716	#397	C₂³	1	2	yes	—
717	#397	C₂³	1	2	yes	—
718	#397	C₂³	1	2	yes	—
719	#397	C₂³	1	2	yes	—
720	#397	C₂³	1	2	yes	—
721	#397	C₂³	1	2	yes	—
722	#397	C₂³	1	2	yes	—
723	#397	C₂³	1	2	yes	—
724	#397	C₂³	1	2	yes	—
725	#397	C₂³	1	2	yes	—
726	#397	C₂³	1	1	yes	characteristic
727	#397	C₂³	1	2	yes	—
728	#397	C₂³	1	1	yes	characteristic
729	#397	C₂³	1	2	yes	—
730	#397	C₂³	1	2	yes	—
731	#397	C₂³	1	2	yes	—
732	#397	C₂³	1	1	yes	characteristic
733	#397	C₂³	1	1	yes	characteristic
734	#397	C₂³	1	1	yes	characteristic
735	#397	C₂³	1	1	yes	characteristic
736	#397	C₂³	1	1	yes	characteristic
737	#397	C₂³	1	1	yes	characteristic
738	#397	C₂³	1	2	yes	—
739	#397	C₂³	1	2	yes	—
740	#397	C₂³	1	2	yes	—
741	#397	C₂³	1	2	yes	—
742	#397	C₂³	1	2	yes	—
743	#397	C₂³	1	2	yes	—
744	#397	C₂³	1	2	yes	—
745	#396	C₂³	1	2	yes	—
746	#396	C₂³	1	2	yes	—
747	#396	C₂³	1	2	yes	—
748	#396	C₂³	1	2	yes	—
749	#396	C₂³	1	2	yes	—
750	#396	C₂³	1	1	yes	characteristic
751	#396	C₂³	1	1	yes	characteristic
752	#396	C₂³	1	2	yes	—
753	#396	C₂³	1	2	yes	—
754	#396	C₂³	1	2	yes	—
755	#396	C₂³	1	2	yes	—
756	#396	C₂³	1	2	yes	—
757	#396	C₂³	1	2	yes	—
758	#396	C₂³	1	2	yes	—
759	#396	C₂³	1	2	yes	—
760	#395	C₂³	1	2	yes	—
761	#395	C₂³	1	2	yes	—
762	#395	C₂³	1	2	yes	—
763	#395	C₂³	1	2	yes	—
764	#395	C₂³	1	2	yes	—
765	#395	C₂³	1	2	yes	—
766	#395	C₂³	1	2	yes	—
767	#395	C₂³	1	2	yes	—
768	#395	C₂³	1	2	yes	—
769	#395	C₂³	1	2	yes	—
770	#395	C₂³	1	2	yes	—
771	#395	C₂³	1	2	yes	—
772	#395	C₂³	1	2	yes	—
773	#395	C₂³	1	2	yes	—
774	#395	C₂³	1	2	yes	—
775	#395	C₂³	1	2	yes	—
776	#395	C₂³	1	2	yes	—
777	#395	C₂³	1	2	yes	—
778	#395	C₂³	1	2	yes	—
779	#395	C₂³	1	2	yes	—
780	#395	C₂³	1	2	yes	—
781	#395	C₂³	1	2	yes	—
782	#395	C₂³	1	2	yes	—
783	#395	C₂³	1	2	yes	—
784	#395	C₂³	1	2	yes	—
785	#395	C₂³	1	2	yes	—
786	#395	C₂³	1	2	yes	—
787	#395	C₂³	1	2	yes	—
788	#395	C₂³	1	1	yes	characteristic
789	#395	C₂³	1	2	yes	—
790	#395	C₂³	1	2	yes	—
791	#395	C₂³	1	1	yes	characteristic
792	#395	C₂³	1	1	yes	characteristic
793	#395	C₂³	1	1	yes	characteristic
794	#395	C₂³	1	2	yes	—
795	#395	C₂³	1	2	yes	—
796	#395	C₂³	1	2	yes	—
797	#395	C₂³	1	2	yes	—
798	#395	C₂³	1	2	yes	—
799	#394	C₂³	1	2	yes	—
800	#394	C₂³	1	2	yes	—
801	#394	C₂³	1	1	yes	characteristic
802	#394	C₂³	1	2	yes	—
803	#394	C₂³	1	2	yes	—
804	#394	C₂³	1	2	yes	—
805	#394	C₂³	1	2	yes	—
806	#394	C₂³	1	2	yes	—
807	#394	C₂³	1	1	yes	characteristic
808	#394	C₂³	1	2	yes	—
809	#394	C₂³	1	2	yes	—
810	#393	C₂³	1	2	yes	—
811	#393	C₂³	1	2	yes	—
812	#393	C₂³	1	2	yes	—
813	#393	C₂³	1	2	yes	—
814	#393	C₂³	1	2	yes	—
815	#393	C₂³	1	1	yes	characteristic
816	#393	C₂³	1	2	yes	—
817	#393	C₂³	1	2	yes	—
818	#393	C₂³	1	1	yes	characteristic
819	#393	C₂³	1	2	yes	—
820	#391	C₂³	1	1	yes	characteristic
821	#391	C₂³	1	2	yes	—
822	#391	C₂³	1	1	yes	characteristic
823	#391	C₂³	1	1	yes	characteristic
824	#391	C₂³	1	2	yes	—
825	#391	C₂³	1	2	yes	—
826	#391	C₂³	1	1	yes	characteristic
827	#391	C₂³	1	1	yes	characteristic
828	#391	C₂³	1	1	yes	characteristic
829	#391	C₂³	1	1	yes	characteristic
830	#391	C₂³	1	2	yes	—
831	#391	C₂³	1	2	yes	—
832	#391	C₂³	1	2	yes	—
833	#391	C₂³	1	2	yes	—
834	#391	C₂³	1	2	yes	—
835	#391	C₂³	1	1	yes	characteristic
836	#391	C₂³	1	2	yes	—
837	#391	C₂³	1	1	yes	characteristic
838	#391	C₂³	1	1	yes	characteristic
839	#391	C₂³	1	1	yes	characteristic
840	#391	C₂³	1	2	yes	—
841	#391	C₂³	1	2	yes	—
842	#391	C₂³	1	2	yes	—
843	#391	C₂³	1	2	yes	—
844	#391	C₂³	1	1	yes	characteristic
845	#391	C₂³	1	2	yes	—
846	#391	C₂³	1	1	yes	characteristic
847	#391	C₂³	1	1	yes	characteristic
848	#391	C₂³	1	2	yes	—
849	#391	C₂³	1	2	yes	—
850	#391	C₂³	1	2	yes	—
851	#391	C₂³	1	1	yes	characteristic
852	#391	C₂³	1	2	yes	—
853	#391	C₂³	1	1	yes	characteristic
854	#391	C₂³	1	2	yes	—
855	#391	C₂³	1	2	yes	—
856	#391	C₂³	1	2	yes	—
857	#391	C₂³	1	2	yes	—
858	#391	C₂³	1	2	yes	—
859	#391	C₂³	1	2	yes	—
860	#391	C₂³	1	2	yes	—
861	#391	C₂³	1	2	yes	—
862	#391	C₂³	1	2	yes	—
863	#391	C₂³	1	2	yes	—
864	#391	C₂³	1	2	yes	—
865	#391	C₂³	1	2	yes	—
866	#391	C₂³	1	1	yes	characteristic
867	#391	C₂³	1	1	yes	characteristic
868	#391	C₂³	1	2	yes	—
869	#390	C₂³	1	1	yes	characteristic
870	#390	C₂³	1	1	yes	characteristic
871	#390	C₂³	1	1	yes	characteristic
872	#390	C₂³	1	2	yes	—
873	#390	C₂³	1	1	yes	characteristic
874	#390	C₂³	1	1	yes	characteristic
875	#390	C₂³	1	1	yes	characteristic
876	#390	C₂³	1	1	yes	characteristic
877	#390	C₂³	1	2	yes	—
878	#390	C₂³	1	1	yes	characteristic
879	#389	C₂³	1	1	yes	characteristic
880	#389	C₂³	1	2	yes	—
881	#389	C₂³	1	1	yes	characteristic
882	#389	C₂³	1	1	yes	characteristic
883	#389	C₂³	1	1	yes	characteristic
884	#389	C₂³	1	1	yes	characteristic
885	#389	C₂³	1	1	yes	characteristic
886	#389	C₂³	1	1	yes	characteristic
887	#389	C₂³	1	1	yes	characteristic
888	#389	C₂³	1	2	yes	—
889	#389	C₂³	1	1	yes	characteristic
890	#389	C₂³	1	1	yes	characteristic
891	#389	C₂³	1	2	yes	—
892	#389	C₂³	1	2	yes	—
893	#389	C₂³	1	2	yes	—
894	#389	C₂³	1	1	yes	characteristic
895	#389	C₂³	1	1	yes	characteristic
896	#389	C₂³	1	2	yes	—
897	#389	C₂³	1	1	yes	characteristic
898	#389	C₂³	1	1	yes	characteristic
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	2	yes	—
911	#389	C₂³	1	1	yes	characteristic
912	#389	C₂³	1	2	yes	—
913	#389	C₂³	1	1	yes	characteristic
914	#389	C₂³	1	2	yes	—
915	#389	C₂³	1	2	yes	—
916	#389	C₂³	1	1	yes	characteristic
917	#389	C₂³	1	2	yes	—
918	#389	C₂³	1	2	yes	—
919	#389	C₂³	1	1	yes	characteristic
920	#389	C₂³	1	2	yes	—
921	#389	C₂³	1	2	yes	—
922	#389	C₂³	1	2	yes	—
923	#389	C₂³	1	2	yes	—
924	#389	C₂³	1	2	yes	—
925	#389	C₂³	1	2	yes	—
926	#389	C₂³	1	2	yes	—
927	#389	C₂³	1	2	yes	—
928	#389	C₂³	1	2	yes	—
929	#389	C₂³	1	2	yes	—
930	#389	C₂³	1	2	yes	—
931	#389	C₂³	1	1	yes	characteristic
932	#389	C₂³	1	2	yes	—
933	#389	C₂³	1	2	yes	—
934	#389	C₂³	1	1	yes	characteristic
935	#389	C₂³	1	1	yes	characteristic
936	#389	C₂³	1	2	yes	—
937	#389	C₂³	1	2	yes	—
938	#389	C₂³	1	1	yes	characteristic
939	#389	C₂³	1	1	yes	characteristic
940	#389	C₂³	1	1	yes	characteristic
941	#389	C₂³	1	2	yes	—
942	#389	C₂³	1	2	yes	—
943	#389	C₂³	1	2	yes	—
944	#389	C₂³	1	2	yes	—
945	#389	C₂³	1	2	yes	—
946	#389	C₂³	1	2	yes	—
947	#389	C₂³	1	2	yes	—
948	#389	C₂³	1	2	yes	—
949	#389	C₂³	1	2	yes	—
950	#389	C₂³	1	2	yes	—
951	#389	C₂³	1	2	yes	—
952	#389	C₂³	1	2	yes	—
953	#389	C₂³	1	2	yes	—
954	#389	C₂³	1	1	yes	characteristic
955	#389	C₂³	1	2	yes	—
956	#389	C₂³	1	2	yes	—
957	#389	C₂³	1	2	yes	—
958	#389	C₂³	1	2	yes	—
959	#389	C₂³	1	1	yes	characteristic
960	#389	C₂³	1	2	yes	—
961	#389	C₂³	1	2	yes	—
962	#389	C₂³	1	1	yes	characteristic
963	#389	C₂³	1	1	yes	characteristic
964	#389	C₂³	1	1	yes	characteristic
965	#389	C₂³	1	1	yes	characteristic
966	#388	C₂³	1	1	yes	characteristic
967	#388	C₂³	1	1	yes	characteristic
968	#388	C₂³	1	1	yes	characteristic
969	#388	C₂³	1	1	yes	characteristic
970	#388	C₂³	1	1	yes	characteristic
971	#388	C₂³	1	1	yes	characteristic
972	#388	C₂³	1	2	yes	—
973	#388	C₂³	1	2	yes	—
974	#388	C₂³	1	2	yes	—
975	#388	C₂³	1	2	yes	—
976	#388	C₂³	1	2	yes	—
977	#388	C₂³	1	2	yes	—
978	#388	C₂³	1	2	yes	—
979	#388	C₂³	1	2	yes	—
980	#388	C₂³	1	2	yes	—
981	#388	C₂³	1	2	yes	—
982	#388	C₂³	1	2	yes	—
983	#388	C₂³	1	2	yes	—
984	#388	C₂³	1	2	yes	—
985	#388	C₂³	1	2	yes	—
986	#388	C₂³	1	2	yes	—
987	#388	C₂³	1	2	yes	—
988	#388	C₂³	1	2	yes	—
989	#388	C₂³	1	2	yes	—
990	#388	C₂³	1	2	yes	—
991	#388	C₂³	1	2	yes	—
992	#388	C₂³	1	2	yes	—
993	#388	C₂³	1	2	yes	—
994	#388	C₂³	1	2	yes	—
995	#388	C₂³	1	2	yes	—
996	#388	C₂³	1	2	yes	—
997	#388	C₂³	1	2	yes	—
998	#388	C₂³	1	2	yes	—
999	#388	C₂³	1	2	yes	—
1000	#388	C₂³	1	2	yes	—
1001	#388	C₂³	1	2	yes	—
1002	#388	C₂³	1	2	yes	—
1003	#388	C₂³	1	2	yes	—
1004	#388	C₂³	1	2	yes	—
1005	#388	C₂³	1	2	yes	—
1006	#388	C₂³	1	2	yes	—
1007	#388	C₂³	1	2	yes	—
1008	#388	C₂³	1	2	yes	—
1009	#388	C₂³	1	2	yes	—
1010	#388	C₂³	1	2	yes	—
1011	#388	C₂³	1	1	yes	characteristic
1012	#388	C₂³	1	1	yes	characteristic
1013	#388	C₂³	1	2	yes	—
1014	#388	C₂³	1	2	yes	—
1015	#388	C₂³	1	2	yes	—
1016	#388	C₂³	1	1	yes	characteristic
1017	#388	C₂³	1	2	yes	—
1018	#388	C₂³	1	1	yes	characteristic
1019	#388	C₂³	1	2	yes	—
1020	#388	C₂³	1	2	yes	—
1021	#388	C₂³	1	2	yes	—
1022	#387	C₂³	1	1	yes	characteristic
1023	#387	C₂³	1	1	yes	characteristic
1024	#387	C₂³	1	1	yes	characteristic
1025	#387	C₂³	1	1	yes	characteristic
1026	#387	C₂³	1	1	yes	characteristic
1027	#387	C₂³	1	1	yes	characteristic
1028	#387	C₂³	1	2	yes	—
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	2	yes	—
1036	#387	C₂³	1	2	yes	—
1037	#387	C₂³	1	2	yes	—
1038	#387	C₂³	1	2	yes	—
1039	#387	C₂³	1	2	yes	—
1040	#387	C₂³	1	2	yes	—
1041	#387	C₂³	1	2	yes	—
1042	#387	C₂³	1	2	yes	—
1043	#387	C₂³	1	2	yes	—
1044	#387	C₂³	1	2	yes	—
1045	#387	C₂³	1	2	yes	—
1046	#387	C₂³	1	2	yes	—
1047	#387	C₂³	1	2	yes	—
1048	#387	C₂³	1	2	yes	—
1049	#387	C₂³	1	2	yes	—
1050	#387	C₂³	1	2	yes	—
1051	#387	C₂³	1	2	yes	—
1052	#387	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
1059	#387	C₂³	1	2	yes	—
1060	#387	C₂³	1	2	yes	—
1061	#387	C₂³	1	2	yes	—
1062	#387	C₂³	1	2	yes	—
1063	#387	C₂³	1	2	yes	—
1064	#387	C₂³	1	2	yes	—
1065	#387	C₂³	1	2	yes	—
1066	#387	C₂³	1	2	yes	—
1067	#387	C₂³	1	2	yes	—
1068	#387	C₂³	1	2	yes	—
1069	#387	C₂³	1	2	yes	—
1070	#387	C₂³	1	1	yes	characteristic
1071	#387	C₂³	1	2	yes	—
1072	#387	C₂³	1	2	yes	—
1073	#387	C₂³	1	2	yes	—
1074	#387	C₂³	1	2	yes	—
1075	#387	C₂³	1	2	yes	—
1076	#387	C₂³	1	2	yes	—
1077	#387	C₂³	1	2	yes	—
1078	#387	C₂³	1	2	yes	—
1079	#387	C₂³	1	2	yes	—
1080	#387	C₂³	1	2	yes	—
1081	#387	C₂³	1	2	yes	—
1082	#387	C₂³	1	2	yes	—
1083	#387	C₂³	1	2	yes	—
1084	#387	C₂³	1	2	yes	—
1085	#387	C₂³	1	2	yes	—
1086	#387	C₂³	1	2	yes	—
1087	#387	C₂³	1	2	yes	—
1088	#387	C₂³	1	2	yes	—
1089	#387	C₂³	1	2	yes	—
1090	#387	C₂³	1	2	yes	—
1091	#387	C₂³	1	2	yes	—
1092	#387	C₂³	1	2	yes	—
1093	#387	C₂³	1	2	yes	—
1094	#387	C₂³	1	2	yes	—
1095	#387	C₂³	1	2	yes	—
1096	#387	C₂³	1	2	yes	—
1097	#387	C₂³	1	2	yes	—
1098	#387	C₂³	1	2	yes	—
1099	#387	C₂³	1	2	yes	—
1100	#387	C₂³	1	2	yes	—
1101	#387	C₂³	1	1	yes	characteristic
1102	#387	C₂³	1	2	yes	—
1103	#387	C₂³	1	1	yes	characteristic
1104	#387	C₂³	1	1	yes	characteristic
1105	#387	C₂³	1	2	yes	—
1106	#387	C₂³	1	1	yes	characteristic
1107	#387	C₂³	1	1	yes	characteristic
1108	#387	C₂³	1	1	yes	characteristic
1109	#387	C₂³	1	1	yes	characteristic
1110	#387	C₂³	1	2	yes	—
1111	#387	C₂³	1	1	yes	characteristic
1112	#386	C₂³	1	1	yes	characteristic
1113	#386	C₂³	1	2	yes	—
1114	#386	C₂³	1	2	yes	—
1115	#386	C₂³	1	2	yes	—
1116	#386	C₂³	1	2	yes	—
1117	#386	C₂³	1	2	yes	—
1118	#386	C₂³	1	2	yes	—
1119	#386	C₂³	1	2	yes	—
1120	#386	C₂³	1	1	yes	characteristic
1121	#385	C₂³	1	2	yes	—
1122	#385	C₂³	1	2	yes	—
1123	#385	C₂³	1	2	yes	—
1124	#385	C₂³	1	2	yes	—
1125	#385	C₂³	1	2	yes	—
1126	#385	C₂³	1	2	yes	—
1127	#385	C₂³	1	2	yes	—
1128	#385	C₂³	1	1	yes	characteristic
1129	#385	C₂³	1	2	yes	—
1130	#385	C₂³	1	1	yes	characteristic
1131	#385	C₂³	1	1	yes	characteristic
1132	#385	C₂³	1	2	yes	—
1133	#385	C₂³	1	2	yes	—
1134	#385	C₂³	1	2	yes	—
1135	#385	C₂³	1	2	yes	—
1136	#385	C₂³	1	1	yes	characteristic
1137	#385	C₂³	1	2	yes	—
1138	#385	C₂³	1	2	yes	—
1139	#385	C₂³	1	2	yes	—
1140	#385	C₂³	1	2	yes	—
1141	#385	C₂³	1	2	yes	—
1142	#385	C₂³	1	2	yes	—
1143	#385	C₂³	1	2	yes	—
1144	#385	C₂³	1	2	yes	—
1145	#385	C₂³	1	2	yes	—
1146	#385	C₂³	1	2	yes	—
1147	#385	C₂³	1	2	yes	—
1148	#385	C₂³	1	2	yes	—
1149	#385	C₂³	1	1	yes	characteristic
1150	#385	C₂³	1	2	yes	—
1151	#385	C₂³	1	2	yes	—
1152	#385	C₂³	1	2	yes	—
1153	#385	C₂³	1	2	yes	—
1154	#385	C₂³	1	1	yes	characteristic
1155	#385	C₂³	1	2	yes	—
1156	#385	C₂³	1	1	yes	characteristic
1157	#385	C₂³	1	1	yes	characteristic
1158	#385	C₂³	1	1	yes	characteristic
1159	#385	C₂³	1	1	yes	characteristic
1160	#384	C₂³	1	1	yes	characteristic
1161	#384	C₂³	1	1	yes	characteristic
1162	#384	C₂³	1	1	yes	characteristic
1163	#384	C₂³	1	2	yes	—
1164	#384	C₂³	1	1	yes	characteristic
1165	#384	C₂³	1	1	yes	characteristic
1166	#384	C₂³	1	2	yes	—
1167	#384	C₂³	1	2	yes	—
1168	#384	C₂³	1	1	yes	characteristic
1169	#384	C₂³	1	1	yes	characteristic
1170	#384	C₂³	1	2	yes	—
1171	#384	C₂³	1	2	yes	—
1172	#384	C₂³	1	1	yes	characteristic
1173	#384	C₂³	1	2	yes	—
1174	#384	C₂³	1	1	yes	characteristic
1175	#384	C₂³	1	1	yes	characteristic
1176	#384	C₂³	1	2	yes	—
1177	#383	C₂³	1	1	yes	characteristic
1178	#383	C₂³	1	1	yes	characteristic
1179	#383	C₂³	1	2	yes	—
1180	#383	C₂³	1	2	yes	—
1181	#383	C₂³	1	2	yes	—
1182	#383	C₂³	1	2	yes	—
1183	#383	C₂³	1	2	yes	—
1184	#382	C₂³	1	1	yes	characteristic
1185	#382	C₂³	1	2	yes	—
1186	#382	C₂³	1	1	yes	characteristic
1187	#382	C₂³	1	1	yes	characteristic
1188	#382	C₂³	1	1	yes	characteristic
1189	#382	C₂³	1	1	yes	characteristic
1190	#382	C₂³	1	2	yes	—
1191	#382	C₂³	1	2	yes	—
1192	#382	C₂³	1	2	yes	—
1193	#382	C₂³	1	2	yes	—
1194	#382	C₂³	1	2	yes	—
1195	#382	C₂³	1	2	yes	—
1196	#382	C₂³	1	2	yes	—
1197	#382	C₂³	1	2	yes	—
1198	#382	C₂³	1	2	yes	—
1199	#381	C₂³	1	2	yes	—
1200	#381	C₂³	1	2	yes	—
1201	#381	C₂³	1	2	yes	—
1202	#381	C₂³	1	2	yes	—
1203	#381	C₂³	1	2	yes	—
1204	#381	C₂³	1	2	yes	—
1205	#381	C₂³	1	1	yes	characteristic
1206	#381	C₂³	1	1	yes	characteristic
1207	#380	C₂³	1	1	yes	characteristic
1208	#380	C₂³	1	1	yes	characteristic
1209	#380	C₂³	1	1	yes	characteristic
1210	#380	C₂³	1	1	yes	characteristic
1211	#380	C₂³	1	2	yes	—
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	2	yes	—
1219	#380	C₂³	1	2	yes	—
1220	#380	C₂³	1	1	yes	characteristic
1221	#380	C₂³	1	2	yes	—
1222	#380	C₂³	1	1	yes	characteristic
1223	#380	C₂³	1	1	yes	characteristic
1224	#380	C₂³	1	2	yes	—
1225	#380	C₂³	1	1	yes	characteristic
1226	#380	C₂³	1	2	yes	—
1227	#380	C₂³	1	2	yes	—
1228	#380	C₂³	1	1	yes	characteristic
1229	#380	C₂³	1	1	yes	characteristic
1230	#380	C₂³	1	2	yes	—
1231	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1232	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1233	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1234	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1235	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1236	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1237	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1238	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1239	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1240	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1241	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1242	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1243	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1244	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1245	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1246	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1247	C₄×C₄⋊C₄	C₂³	1	2	yes	—
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	2	yes	—
1253	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1254	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1255	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1256	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1257	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1258	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1259	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1260	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1261	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1262	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1263	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1264	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1265	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1266	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1267	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1268	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1269	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1270	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1271	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
1272	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
1273	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
1274	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
1275	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
1276	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
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	2	yes	—
1288	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
1289	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
1290	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
1291	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
1292	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
1293	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
1294	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
1295	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
1296	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
1297	#376	C₂³	1	1	yes	characteristic
1298	#376	C₂³	1	1	yes	characteristic
1299	#376	C₂³	1	2	yes	—
1300	#376	C₂³	1	2	yes	—
1301	#376	C₂³	1	2	yes	—
1302	C₄³	C₂³	1	1	yes	characteristic
1303	C₂×#41	—	4	4	no	—
1304	C₂×#41	—	4	4	no	—
1305	C₂×#41	—	4	4	no	—
1306	C₂²×Q₈	—	2	4	no	—
1307	C₂²×Q₈	—	2	4	no	—
1308	C₂²×Q₈	—	4	4	no	—
1309	C₂²×Q₈	—	4	2	no	—
1310	C₂²×Q₈	—	4	4	no	—
1311	C₂²×Q₈	—	4	4	no	—
1312	C₂²×Q₈	C₂⁴	1	2	yes	—
1313	C₂²×Q₈	C₂⁴	1	2	yes	—
1314	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
1315	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
1316	C₂²×Q₈	C₂⁴	1	2	yes	—
1317	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
1318	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
1319	C₂²×Q₈	C₂⁴	1	2	yes	—
1320	C₂²×Q₈	C₂⁴	1	2	yes	—
1321	C₂²×Q₈	C₂⁴	1	2	yes	—
1322	C₂²×Q₈	C₂⁴	1	2	yes	—
1323	C₂²×Q₈	C₂⁴	1	2	yes	—
1324	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
1325	C₂²×D₄	C₂⁴	1	1	yes	characteristic
1326	C₂²×D₄	C₂⁴	1	1	yes	characteristic
1327	C₂²×D₄	C₂⁴	1	2	yes	—
1328	C₂²×D₄	C₂⁴	1	2	yes	—
1329	C₂³×C₄	C₂⁴	1	1	yes	characteristic
1330	C₂³×C₄	C₂⁴	1	1	yes	characteristic
1331	C₂³×C₄	C₂⁴	1	2	yes	—
1332	C₂³×C₄	C₂⁴	1	2	yes	—
1333	C₂³×C₄	C₂⁴	1	2	yes	—
1334	C₂³×C₄	C₂⁴	1	1	yes	characteristic
1335	C₂³×C₄	C₂⁴	1	1	yes	characteristic
1336	C₂³×C₄	C₂⁴	1	2	yes	—
1337	C₂³×C₄	C₂⁴	1	1	yes	characteristic
1338	C₂³×C₄	C₂⁴	1	2	yes	—
1339	C₂³×C₄	C₂⁴	1	2	yes	—
1340	C₂³×C₄	C₂⁴	1	1	yes	characteristic
1341	C₂³×C₄	C₂⁴	1	2	yes	—
1342	C₄⋊Q₈	—	2	4	no	—
1343	C₄⋊Q₈	—	2	4	no	—
1344	C₄⋊Q₈	—	2	4	no	—
1345	C₄⋊Q₈	—	2	4	no	—
1346	C₄⋊Q₈	—	4	2	no	—
1347	C₄⋊Q₈	—	4	2	no	—
1348	C₄⋊Q₈	—	4	4	no	—
1349	C₄⋊Q₈	—	4	2	no	—
1350	C₄⋊Q₈	—	4	2	no	—
1351	C₄⋊Q₈	—	4	4	no	—
1352	C₄⋊Q₈	—	4	4	no	—
1353	C₄⋊Q₈	—	4	4	no	—
1354	C₄⋊Q₈	—	4	4	no	—
1355	C₄⋊Q₈	—	4	4	no	—
1356	C₄⋊Q₈	—	4	4	no	—
1357	C₄⋊Q₈	—	4	4	no	—
1358	C₄⋊Q₈	—	4	4	no	—
1359	C₄⋊Q₈	—	4	4	no	—
1360	C₄⋊Q₈	—	4	4	no	—
1361	#126	—	2	4	no	—
1362	#126	—	2	8	no	—
1363	#126	—	4	4	no	—
1364	#126	—	4	2	no	—
1365	#126	—	4	4	no	—
1366	#126	—	4	4	no	—
1367	#126	—	4	4	no	—
1368	#126	—	4	4	no	—
1369	#125	—	2	4	no	—
1370	#125	—	4	4	no	—
1371	#125	—	4	4	no	—
1372	#125	—	4	2	no	—
1373	#125	—	4	2	no	—
1374	#125	—	4	4	no	—
1375	#125	—	4	4	no	—
1376	#125	—	4	4	no	—
1377	#125	—	4	4	no	—
1378	#125	—	4	4	no	—
1379	#125	—	4	4	no	—
1380	#125	—	4	4	no	—
1381	#124	—	2	4	no	—
1382	#124	—	2	4	no	—
1383	#124	—	2	8	no	—
1384	#124	—	4	4	no	—
1385	#123	—	2	4	no	—
1386	#123	—	4	4	no	—
1387	#123	—	4	4	no	—
1388	#123	—	4	2	no	—
1389	#123	—	4	4	no	—
1390	#123	—	4	4	no	—
1391	#123	—	4	4	no	—
1392	#123	—	4	4	no	—
1393	#123	—	4	4	no	—
1394	#123	—	4	4	no	—
1395	#123	—	4	4	no	—
1396	C₂²⋊Q₈	—	2	4	no	—
1397	C₂²⋊Q₈	—	2	4	no	—
1398	C₂²⋊Q₈	—	2	4	no	—
1399	C₂²⋊Q₈	—	2	4	no	—
1400	C₂²⋊Q₈	—	2	8	no	—
1401	C₂²⋊Q₈	—	2	8	no	—
1402	C₂²⋊Q₈	—	2	4	no	—
1403	C₂²⋊Q₈	—	4	4	no	—
1404	C₂²⋊Q₈	—	4	4	no	—
1405	C₂²⋊Q₈	—	4	2	no	—
1406	C₂²⋊Q₈	—	4	4	no	—
1407	C₂²⋊Q₈	—	4	4	no	—
1408	C₂²⋊Q₈	—	4	4	no	—
1409	C₂²⋊Q₈	—	4	4	no	—
1410	C₂²⋊Q₈	—	4	4	no	—
1411	C₂²⋊Q₈	—	4	4	no	—
1412	C₂²⋊Q₈	—	4	4	no	—
1413	C₂²⋊Q₈	—	4	4	no	—
1414	C₂²⋊Q₈	—	4	4	no	—
1415	C₂²⋊Q₈	—	4	4	no	—
1416	C₂²⋊Q₈	—	4	4	no	—
1417	#121	—	4	2	no	—
1418	#121	—	4	2	no	—
1419	C₄×Q₈	—	2	4	no	—
1420	C₄×Q₈	—	2	4	no	—
1421	C₄×Q₈	—	2	4	no	—
1422	C₄×Q₈	—	2	4	no	—
1423	C₄×Q₈	—	2	4	no	—
1424	C₄×Q₈	—	2	4	no	—
1425	C₄×Q₈	—	4	2	no	—
1426	C₄×Q₈	—	4	2	no	—
1427	C₄×Q₈	—	4	2	no	—
1428	C₄×Q₈	—	4	4	no	—
1429	C₄×Q₈	—	4	4	no	—
1430	C₄×Q₈	—	4	4	no	—
1431	C₄×Q₈	—	4	4	no	—
1432	C₄×Q₈	—	4	2	no	—
1433	C₄×Q₈	—	4	2	no	—
1434	C₄×Q₈	—	4	4	no	—
1435	C₄×Q₈	—	4	4	no	—
1436	C₄×Q₈	—	4	2	no	—
1437	C₄×Q₈	—	4	2	no	—
1438	C₄×Q₈	—	4	2	no	—
1439	C₄×Q₈	—	4	2	no	—
1440	C₄×D₄	—	2	4	no	—
1441	C₄×D₄	—	4	2	no	—
1442	C₄×D₄	—	4	2	no	—
1443	C₄×D₄	—	4	2	no	—
1444	#117	—	4	4	no	—
1445	#117	—	4	4	no	—
1446	C₂×C₄⋊C₄	—	2	4	no	—
1447	C₂×C₄⋊C₄	—	2	4	no	—
1448	C₂×C₄⋊C₄	—	4	4	no	—
1449	C₂×C₄⋊C₄	—	4	2	no	—
1450	C₂×C₄⋊C₄	—	4	4	no	—
1451	C₂×C₄⋊C₄	—	4	4	no	—
1452	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1453	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
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	2	yes	—
1460	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1461	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1462	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1463	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1464	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1465	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1466	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1467	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1468	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1469	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1470	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
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	2	yes	—
1475	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1476	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1477	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1478	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1479	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1480	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1481	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1482	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1483	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1484	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1485	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1486	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1487	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1488	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1489	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1490	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1491	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1492	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1493	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1494	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1495	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1496	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1497	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1498	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1499	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1500	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1501	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1502	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1503	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
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	2	yes	—
1516	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1517	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1518	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1519	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1520	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1521	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1522	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1523	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1524	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1525	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1526	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1527	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1528	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1529	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
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	1	yes	characteristic
1534	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1535	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1536	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1537	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1538	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1539	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1540	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1541	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1542	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1543	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1544	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1545	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1546	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1547	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1548	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1549	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1550	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1551	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1552	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1553	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1554	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1555	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1556	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1557	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1558	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1559	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1560	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1561	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1562	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1563	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
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	2	yes	—
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	2	yes	—
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	2	yes	—
1582	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1583	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1584	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1585	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1586	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1587	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1588	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1589	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1590	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1591	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1592	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1593	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1594	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
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	1	yes	characteristic
1600	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1601	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1602	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1603	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1604	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1605	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1606	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1607	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1608	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1609	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1610	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1611	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1612	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1613	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1614	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1615	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1616	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1617	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1618	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1619	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1620	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1621	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1622	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1623	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1624	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1625	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1626	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1627	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1628	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1629	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1630	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1631	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1632	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1633	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1634	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1635	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1636	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1637	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1638	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1639	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1640	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1641	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1642	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1643	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1644	C₂×C₄²	—	4	4	no	—
1645	C₂×C₄²	—	4	2	no	—
1646	C₂×C₄²	—	4	2	no	—
1647	C₂×C₄²	C₂⁴	1	2	yes	—
1648	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1649	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1650	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1651	C₂×C₄²	C₂⁴	1	2	yes	—
1652	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1653	C₂×C₄²	C₂⁴	1	2	yes	—
1654	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1655	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1656	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1657	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1658	C₂×C₄²	C₂⁴	1	2	yes	—
1659	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1660	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1661	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1662	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1663	C₂×C₄²	C₂⁴	1	2	yes	—
1664	C₂×C₄²	C₂⁴	1	2	yes	—
1665	C₂×C₄²	C₂⁴	1	2	yes	—
1666	C₂×C₄²	C₂⁴	1	2	yes	—
1667	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1668	C₂×C₄²	C₂⁴	1	1	yes	characteristic
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	2	yes	—
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	2	yes	—
1678	C₂×C₄²	C₂⁴	1	2	yes	—
1679	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1680	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1681	C₂×C₄²	C₂⁴	1	2	yes	—
1682	C₂×C₄²	C₂⁴	1	2	yes	—
1683	C₂×C₄²	C₂⁴	1	2	yes	—
1684	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1685	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1686	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1687	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1688	C₂×C₄²	C₂⁴	1	2	yes	—
1689	C₂×C₄²	C₂⁴	1	2	yes	—
1690	C₂×C₄²	C₂⁴	1	2	yes	—
1691	#95	C₂⁴	1	1	yes	characteristic
1692	#95	C₂⁴	1	1	yes	characteristic
1693	#95	C₂⁴	1	2	yes	—
1694	#95	C₂⁴	1	2	yes	—
1695	#95	C₂⁴	1	2	yes	—
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	2	yes	—
1701	#95	C₂⁴	1	2	yes	—
1702	#95	C₂⁴	1	2	yes	—
1703	#95	C₂⁴	1	1	yes	characteristic
1704	#95	C₂⁴	1	1	yes	characteristic
1705	#95	C₂⁴	1	2	yes	—
1706	#95	C₂⁴	1	2	yes	—
1707	#95	C₂⁴	1	1	yes	characteristic
1708	#95	C₂⁴	1	1	yes	characteristic
1709	#95	C₂⁴	1	2	yes	—
1710	#95	C₂⁴	1	1	yes	characteristic
1711	#95	C₂⁴	1	1	yes	characteristic
1712	#95	C₂⁴	1	1	yes	characteristic
1713	#95	C₂⁴	1	1	yes	characteristic
1714	#95	C₂⁴	1	1	yes	characteristic
1715	#95	C₂⁴	1	2	yes	—
1716	#95	C₂⁴	1	2	yes	—
1717	#95	C₂⁴	1	2	yes	—
1718	#95	C₂⁴	1	2	yes	—
1719	#95	C₂⁴	1	2	yes	—
1720	#95	C₂⁴	1	2	yes	—
1721	#95	C₂⁴	1	2	yes	—
1722	#95	C₂⁴	1	2	yes	—
1723	#95	C₂⁴	1	2	yes	—
1724	#95	C₂⁴	1	2	yes	—
1725	#95	C₂⁴	1	2	yes	—
1726	#95	C₂⁴	1	2	yes	—
1727	#95	C₂⁴	1	1	yes	characteristic
1728	#95	C₂⁴	1	1	yes	characteristic
1729	#95	C₂⁴	1	1	yes	characteristic
1730	#95	C₂⁴	1	1	yes	characteristic
1731	#95	C₂⁴	1	1	yes	characteristic
1732	#95	C₂⁴	1	1	yes	characteristic
1733	#95	C₂⁴	1	2	yes	—
1734	#95	C₂⁴	1	2	yes	—
1735	#95	C₂⁴	1	2	yes	—
1736	#95	C₂⁴	1	2	yes	—
1737	#95	C₂⁴	1	2	yes	—
1738	#95	C₂⁴	1	1	yes	characteristic
1739	#95	C₂⁴	1	1	yes	characteristic
1740	#95	C₂⁴	1	2	yes	—
1741	#95	C₂⁴	1	2	yes	—
1742	#95	C₂⁴	1	1	yes	characteristic
1743	#95	C₂⁴	1	1	yes	characteristic
1744	#95	C₂⁴	1	2	yes	—
1745	#95	C₂⁴	1	1	yes	characteristic
1746	#95	C₂⁴	1	1	yes	characteristic
1747	#95	C₂⁴	1	1	yes	characteristic
1748	#95	C₂⁴	1	1	yes	characteristic
1749	#95	C₂⁴	1	1	yes	characteristic
1750	#95	C₂⁴	1	1	yes	characteristic
1751	#95	C₂⁴	1	2	yes	—
1752	#95	C₂⁴	1	2	yes	—
1753	#95	C₂⁴	1	1	yes	characteristic
1754	#95	C₂⁴	1	1	yes	characteristic
1755	#95	C₂⁴	1	1	yes	characteristic
1756	#95	C₂⁴	1	1	yes	characteristic
1757	#95	C₂⁴	1	2	yes	—
1758	#95	C₂⁴	1	1	yes	characteristic
1759	#95	C₂⁴	1	1	yes	characteristic
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	2	yes	—
1766	#95	C₂⁴	1	2	yes	—
1767	#95	C₂⁴	1	2	yes	—
1768	#95	C₂⁴	1	1	yes	characteristic
1769	#95	C₂⁴	1	1	yes	characteristic
1770	#95	C₂⁴	1	2	yes	—
1771	#95	C₂⁴	1	2	yes	—
1772	#95	C₂⁴	1	2	yes	—
1773	#95	C₂⁴	1	2	yes	—
1774	#95	C₂⁴	1	1	yes	characteristic
1775	#95	C₂⁴	1	1	yes	characteristic
1776	#95	C₂⁴	1	2	yes	—
1777	#95	C₂⁴	1	1	yes	characteristic
1778	#95	C₂⁴	1	2	yes	—
1779	#95	C₂⁴	1	2	yes	—
1780	#95	C₂⁴	1	2	yes	—
1781	#95	C₂⁴	1	2	yes	—
1782	#95	C₂⁴	1	2	yes	—
1783	#95	C₂⁴	1	2	yes	—
1784	#95	C₂⁴	1	2	yes	—
1785	#95	C₂⁴	1	2	yes	—
1786	#95	C₂⁴	1	1	yes	characteristic
1787	#95	C₂⁴	1	1	yes	characteristic
1788	#95	C₂⁴	1	1	yes	characteristic
1789	#95	C₂⁴	1	2	yes	—
1790	#95	C₂⁴	1	1	yes	characteristic
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	1	yes	characteristic
1797	#95	C₂⁴	1	1	yes	characteristic
1798	#95	C₂⁴	1	1	yes	characteristic
1799	#95	C₂⁴	1	2	yes	—
1800	#95	C₂⁴	1	2	yes	—
1801	#95	C₂⁴	1	2	yes	—
1802	#95	C₂⁴	1	1	yes	characteristic
1803	#95	C₂⁴	1	1	yes	characteristic
1804	#95	C₂⁴	1	1	yes	characteristic
1805	#95	C₂⁴	1	2	yes	—
1806	#95	C₂⁴	1	1	yes	characteristic
1807	#95	C₂⁴	1	2	yes	—
1808	#95	C₂⁴	1	1	yes	characteristic
1809	#95	C₂⁴	1	1	yes	characteristic
1810	#95	C₂⁴	1	2	yes	—
1811	#95	C₂⁴	1	1	yes	characteristic
1812	#95	C₂⁴	1	1	yes	characteristic
1813	#95	C₂⁴	1	1	yes	characteristic
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	#95	C₂⁴	1	2	yes	—
1820	#95	C₂⁴	1	2	yes	—
1821	#95	C₂⁴	1	2	yes	—
1822	#95	C₂⁴	1	2	yes	—
1823	#95	C₂⁴	1	2	yes	—
1824	#95	C₂⁴	1	2	yes	—
1825	#95	C₂⁴	1	2	yes	—
1826	#95	C₂⁴	1	2	yes	—
1827	#95	C₂⁴	1	2	yes	—
1828	#95	C₂⁴	1	2	yes	—
1829	#95	C₂⁴	1	2	yes	—
1830	#95	C₂⁴	1	2	yes	—
1831	#95	C₂⁴	1	2	yes	—
1832	#95	C₂⁴	1	2	yes	—
1833	#95	C₂⁴	1	2	yes	—
1834	#95	C₂⁴	1	2	yes	—
1835	#95	C₂⁴	1	2	yes	—
1836	C₂⁴	C₂⁵	1	2	yes	—
1837	C₂⁴	C₂⁵	1	1	yes	characteristic
1838	C₂⁴	C₂⁵	1	1	yes	characteristic
1839	#41	—	8	16	no	—
1840	C₂×Q₈	—	2	2	no	—
1841	C₂×Q₈	—	2	2	no	—
1842	C₂×Q₈	—	2	4	no	—
1843	C₂×Q₈	—	2	4	no	—
1844	C₂×Q₈	—	2	2	no	—
1845	C₂×Q₈	—	2	4	no	—
1846	C₂×Q₈	—	2	4	no	—
1847	C₂×Q₈	—	2	4	no	—
1848	C₂×Q₈	—	2	2	no	—
1849	C₂×Q₈	—	2	2	no	—
1850	C₂×Q₈	—	2	4	no	—
1851	C₂×Q₈	—	2	4	no	—
1852	C₂×Q₈	—	2	2	no	—
1853	C₂×Q₈	—	4	1	no	—
1854	C₂×Q₈	—	4	2	no	—
1855	C₂×Q₈	—	4	2	no	—
1856	C₂×Q₈	—	4	1	no	—
1857	C₂×Q₈	—	4	1	no	—
1858	C₂×Q₈	—	4	2	no	—
1859	C₂×Q₈	—	4	1	no	—
1860	C₂×Q₈	—	4	2	no	—
1861	C₂×Q₈	—	4	2	no	—
1862	C₂×Q₈	—	4	2	no	—
1863	C₂×Q₈	—	4	1	no	—
1864	C₂×Q₈	—	4	2	no	—
1865	C₂×Q₈	—	4	2	no	—
1866	C₂×Q₈	—	4	2	no	—
1867	C₂×Q₈	—	4	2	no	—
1868	C₂×Q₈	—	4	2	no	—
1869	C₂×Q₈	—	4	2	no	—
1870	C₂×Q₈	—	4	2	no	—
1871	C₂×Q₈	—	4	1	no	—
1872	C₂×Q₈	—	4	2	no	—
1873	C₂×Q₈	—	4	2	no	—
1874	C₂×Q₈	—	4	2	no	—
1875	C₂×Q₈	—	4	2	no	—
1876	C₂×Q₈	—	4	16	no	—
1877	C₂×Q₈	—	8	16	no	—
1878	C₂×Q₈	2₋¹⁺⁴	1	4	yes	—
1879	C₂×Q₈	2₋¹⁺⁴	1	4	yes	—
1880	C₂×Q₈	2₋¹⁺⁴	1	4	yes	—
1881	C₂×D₄	—	2	2	no	—
1882	C₂×D₄	—	2	2	no	—
1883	C₂×D₄	—	2	4	no	—
1884	C₂×D₄	—	2	4	no	—
1885	C₂×D₄	—	2	2	no	—
1886	C₂×D₄	—	2	2	no	—
1887	C₂×D₄	—	2	2	no	—
1888	C₂×D₄	—	4	1	no	—
1889	C₂×D₄	—	4	2	no	—
1890	C₂×D₄	—	4	2	no	—
1891	C₂×D₄	—	4	2	no	—
1892	C₂×D₄	—	4	2	no	—
1893	C₂²×C₄	—	2	4	no	—
1894	C₂²×C₄	—	2	2	no	—
1895	C₂²×C₄	—	2	4	no	—
1896	C₂²×C₄	—	2	2	no	—
1897	C₂²×C₄	—	2	4	no	—
1898	C₂²×C₄	—	2	2	no	—
1899	C₂²×C₄	—	2	4	no	—
1900	C₂²×C₄	—	2	2	no	—
1901	C₂²×C₄	—	2	4	no	—
1902	C₂²×C₄	—	2	2	no	—
1903	C₂²×C₄	—	2	2	no	—
1904	C₂²×C₄	—	2	2	no	—
1905	C₂²×C₄	—	2	2	no	—
1906	C₂²×C₄	—	2	2	no	—
1907	C₂²×C₄	—	2	4	no	—
1908	C₂²×C₄	—	2	4	no	—
1909	C₂²×C₄	—	2	2	no	—
1910	C₂²×C₄	—	2	2	no	—
1911	C₂²×C₄	—	2	4	no	—
1912	C₂²×C₄	—	2	4	no	—
1913	C₂²×C₄	—	4	1	no	—
1914	C₂²×C₄	—	4	1	no	—
1915	C₂²×C₄	—	4	2	no	—
1916	C₂²×C₄	—	4	1	no	—
1917	C₂²×C₄	—	4	2	no	—
1918	C₂²×C₄	—	4	1	no	—
1919	C₂²×C₄	—	4	1	no	—
1920	C₂²×C₄	—	4	2	no	—
1921	C₂²×C₄	—	4	1	no	—
1922	C₂²×C₄	—	4	2	no	—
1923	C₂²×C₄	—	4	2	no	—
1924	C₂²×C₄	—	4	2	no	—
1925	C₂²×C₄	—	4	2	no	—
1926	C₂²×C₄	—	4	1	no	—
1927	C₂²×C₄	—	4	2	no	—
1928	C₂²×C₄	—	4	2	no	—
1929	C₂²×C₄	—	4	2	no	—
1930	C₂²×C₄	—	4	2	no	—
1931	C₂²×C₄	—	4	2	no	—
1932	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1933	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1934	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1935	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1936	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1937	C₂²×C₄	C₂⁵	1	1	yes	characteristic
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	2	yes	—
1943	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1944	C₂²×C₄	C₂⁵	1	2	yes	—
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	2	yes	—
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	C₂²×C₄	C₂⁵	1	2	yes	—
1955	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1956	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1957	C₂²×C₄	C₂⁵	1	2	yes	—
1958	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1959	C₂²×C₄	C₂⁵	1	2	yes	—
1960	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1961	C₂²×C₄	C₂⁵	1	2	yes	—
1962	C₂²×C₄	C₂⁵	1	2	yes	—
1963	C₂²×C₄	C₂⁵	1	2	yes	—
1964	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1965	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1966	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1967	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1968	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1969	C₂²×C₄	C₂⁵	1	2	yes	—
1970	C₂²×C₄	C₂⁵	1	2	yes	—
1971	C₂²×C₄	C₂⁵	1	2	yes	—
1972	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1973	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1974	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1975	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1976	C₄⋊C₄	—	2	2	no	—
1977	C₄⋊C₄	—	2	4	no	—
1978	C₄⋊C₄	—	2	2	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	2	no	—
1984	C₄⋊C₄	—	2	4	no	—
1985	C₄⋊C₄	—	2	2	no	—
1986	C₄⋊C₄	—	2	4	no	—
1987	C₄⋊C₄	—	2	4	no	—
1988	C₄⋊C₄	—	2	4	no	—
1989	C₄⋊C₄	—	2	2	no	—
1990	C₄⋊C₄	—	2	2	no	—
1991	C₄⋊C₄	—	2	2	no	—
1992	C₄⋊C₄	—	2	4	no	—
1993	C₄⋊C₄	—	2	4	no	—
1994	C₄⋊C₄	—	2	2	no	—
1995	C₄⋊C₄	—	2	4	no	—
1996	C₄⋊C₄	—	2	4	no	—
1997	C₄⋊C₄	—	2	2	no	—
1998	C₄⋊C₄	—	2	2	no	—
1999	C₄⋊C₄	—	2	2	no	—
2000	C₄⋊C₄	—	2	2	no	—
2001	C₄⋊C₄	—	2	4	no	—
2002	C₄⋊C₄	—	2	2	no	—
2003	C₄⋊C₄	—	2	4	no	—
2004	C₄⋊C₄	—	2	2	no	—
2005	C₄⋊C₄	—	2	4	no	—
2006	C₄⋊C₄	—	2	4	no	—
2007	C₄⋊C₄	—	2	4	no	—
2008	C₄⋊C₄	—	2	4	no	—
2009	C₄⋊C₄	—	2	2	no	—
2010	C₄⋊C₄	—	2	2	no	—
2011	C₄⋊C₄	—	2	2	no	—
2012	C₄⋊C₄	—	2	2	no	—
2013	C₄⋊C₄	—	2	4	no	—
2014	C₄⋊C₄	—	2	2	no	—
2015	C₄⋊C₄	—	2	2	no	—
2016	C₄⋊C₄	—	2	2	no	—
2017	C₄⋊C₄	—	2	2	no	—
2018	C₄⋊C₄	—	2	4	no	—
2019	C₄⋊C₄	—	2	4	no	—
2020	C₄⋊C₄	—	2	2	no	—
2021	C₄⋊C₄	—	2	2	no	—
2022	C₄⋊C₄	—	2	2	no	—
2023	C₄⋊C₄	—	2	4	no	—
2024	C₄⋊C₄	—	2	2	no	—
2025	C₄⋊C₄	—	2	4	no	—
2026	C₄⋊C₄	—	2	2	no	—
2027	C₄⋊C₄	—	2	2	no	—
2028	C₄⋊C₄	—	2	2	no	—
2029	C₄⋊C₄	—	2	2	no	—
2030	C₄⋊C₄	—	4	1	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	1	no	—
2038	C₄⋊C₄	—	4	2	no	—
2039	C₄⋊C₄	—	4	1	no	—
2040	C₄⋊C₄	—	4	2	no	—
2041	C₄⋊C₄	—	4	1	no	—
2042	C₄⋊C₄	—	4	1	no	—
2043	C₄⋊C₄	—	4	1	no	—
2044	C₄⋊C₄	—	4	2	no	—
2045	C₄⋊C₄	—	4	2	no	—
2046	C₄⋊C₄	—	4	2	no	—
2047	C₄⋊C₄	—	4	1	no	—
2048	C₄⋊C₄	—	4	2	no	—
2049	C₄⋊C₄	—	4	2	no	—
2050	C₄⋊C₄	—	4	2	no	—
2051	C₄⋊C₄	—	4	1	no	—
2052	C₄⋊C₄	—	4	1	no	—
2053	C₄⋊C₄	—	4	1	no	—
2054	C₄⋊C₄	—	4	1	no	—
2055	C₄⋊C₄	—	4	2	no	—
2056	C₄⋊C₄	—	4	2	no	—
2057	C₄⋊C₄	—	4	1	no	—
2058	C₄⋊C₄	—	4	2	no	—
2059	C₄⋊C₄	—	4	1	no	—
2060	C₄⋊C₄	—	4	2	no	—
2061	C₄⋊C₄	—	4	2	no	—
2062	C₄⋊C₄	—	4	2	no	—
2063	C₄⋊C₄	—	4	1	no	—
2064	C₄⋊C₄	—	4	2	no	—
2065	C₄⋊C₄	—	4	1	no	—
2066	C₄⋊C₄	—	4	2	no	—
2067	C₄⋊C₄	—	4	2	no	—
2068	C₄⋊C₄	—	4	1	no	—
2069	C₄⋊C₄	—	4	2	no	—
2070	C₄⋊C₄	—	4	1	no	—
2071	C₄⋊C₄	—	4	1	no	—
2072	C₄⋊C₄	—	4	2	no	—
2073	C₄⋊C₄	—	4	1	no	—
2074	C₄⋊C₄	—	4	2	no	—
2075	C₄⋊C₄	—	4	2	no	—
2076	C₄⋊C₄	—	4	2	no	—
2077	C₄⋊C₄	—	4	2	no	—
2078	C₄⋊C₄	—	4	2	no	—
2079	C₄⋊C₄	—	4	2	no	—
2080	C₄⋊C₄	—	4	2	no	—
2081	C₄⋊C₄	—	4	2	no	—
2082	C₄⋊C₄	—	4	2	no	—
2083	C₄⋊C₄	—	4	2	no	—
2084	C₄⋊C₄	—	4	2	no	—
2085	C₄⋊C₄	—	4	2	no	—
2086	C₄⋊C₄	—	4	2	no	—
2087	C₄⋊C₄	—	4	2	no	—
2088	C₄⋊C₄	—	4	2	no	—
2089	C₄⋊C₄	—	4	2	no	—
2090	C₄⋊C₄	—	4	2	no	—
2091	C₄⋊C₄	—	4	1	no	—
2092	C₄⋊C₄	—	4	2	no	—
2093	C₄⋊C₄	—	4	2	no	—
2094	C₄⋊C₄	—	4	1	no	—
2095	C₄⋊C₄	—	4	2	no	—
2096	C₄⋊C₄	—	4	2	no	—
2097	C₄⋊C₄	—	4	2	no	—
2098	C₄⋊C₄	—	4	2	no	—
2099	C₄⋊C₄	—	4	2	no	—
2100	C₄⋊C₄	—	4	2	no	—
2101	C₄⋊C₄	—	4	2	no	—
2102	C₄⋊C₄	—	4	2	no	—
2103	C₄⋊C₄	—	4	2	no	—
2104	C₄⋊C₄	—	4	2	no	—
2105	C₄⋊C₄	—	4	2	no	—
2106	C₄⋊C₄	—	4	2	no	—
2107	C₄⋊C₄	—	4	1	no	—
2108	C₄⋊C₄	—	4	1	no	—
2109	C₄⋊C₄	—	4	1	no	—
2110	C₄⋊C₄	H(5,𝔽₂)	1	4	yes	—
2111	C₂²⋊C₄	—	2	2	no	—
2112	C₂²⋊C₄	—	2	4	no	—
2113	C₂²⋊C₄	—	2	2	no	—
2114	C₂²⋊C₄	—	2	4	no	—
2115	C₂²⋊C₄	—	2	2	no	—
2116	C₂²⋊C₄	—	2	4	no	—
2117	C₂²⋊C₄	—	2	4	no	—
2118	C₂²⋊C₄	—	2	2	no	—
2119	C₂²⋊C₄	—	2	2	no	—
2120	C₂²⋊C₄	—	2	4	no	—
2121	C₂²⋊C₄	—	2	2	no	—
2122	C₂²⋊C₄	—	2	2	no	—
2123	C₂²⋊C₄	—	2	2	no	—
2124	C₂²⋊C₄	—	2	2	no	—
2125	C₂²⋊C₄	—	2	2	no	—
2126	C₂²⋊C₄	—	2	4	no	—
2127	C₂²⋊C₄	—	2	4	no	—
2128	C₂²⋊C₄	—	2	4	no	—
2129	C₂²⋊C₄	—	2	4	no	—
2130	C₂²⋊C₄	—	2	4	no	—
2131	C₂²⋊C₄	—	2	2	no	—
2132	C₂²⋊C₄	—	2	2	no	—
2133	C₂²⋊C₄	—	2	2	no	—
2134	C₂²⋊C₄	—	2	2	no	—
2135	C₂²⋊C₄	—	2	4	no	—
2136	C₂²⋊C₄	—	2	4	no	—
2137	C₂²⋊C₄	—	2	4	no	—
2138	C₂²⋊C₄	—	2	4	no	—
2139	C₂²⋊C₄	—	2	4	no	—
2140	C₂²⋊C₄	—	2	4	no	—
2141	C₂²⋊C₄	—	4	2	no	—
2142	C₂²⋊C₄	—	4	2	no	—
2143	C₂²⋊C₄	—	4	2	no	—
2144	C₂²⋊C₄	—	4	2	no	—
2145	C₂²⋊C₄	—	4	1	no	—
2146	C₂²⋊C₄	—	4	1	no	—
2147	C₂²⋊C₄	—	4	2	no	—
2148	C₂²⋊C₄	—	4	2	no	—
2149	C₂²⋊C₄	—	4	1	no	—
2150	C₂²⋊C₄	—	4	1	no	—
2151	C₂²⋊C₄	—	4	2	no	—
2152	C₂²⋊C₄	—	4	2	no	—
2153	C₂²⋊C₄	—	4	2	no	—
2154	C₂²⋊C₄	—	4	1	no	—
2155	C₂²⋊C₄	—	4	1	no	—
2156	C₂²⋊C₄	—	4	2	no	—
2157	C₂²⋊C₄	—	4	2	no	—
2158	C₂²⋊C₄	—	4	2	no	—
2159	C₂²⋊C₄	—	4	2	no	—
2160	C₂²⋊C₄	—	4	2	no	—
2161	C₂²⋊C₄	—	4	2	no	—
2162	C₂²⋊C₄	—	4	2	no	—
2163	C₂²⋊C₄	—	4	1	no	—
2164	C₂²⋊C₄	—	4	2	no	—
2165	C₂²⋊C₄	—	4	2	no	—
2166	C₂²⋊C₄	—	4	2	no	—
2167	C₂²⋊C₄	H(5,𝔽₂)	1	4	yes	—
2168	C₄²	—	2	4	no	—
2169	C₄²	—	2	2	no	—
2170	C₄²	—	2	4	no	—
2171	C₄²	—	2	2	no	—
2172	C₄²	—	2	2	no	—
2173	C₄²	—	2	2	no	—
2174	C₄²	—	2	4	no	—
2175	C₄²	—	2	2	no	—
2176	C₄²	—	2	2	no	—
2177	C₄²	—	2	2	no	—
2178	C₄²	—	2	2	no	—
2179	C₄²	—	2	4	no	—
2180	C₄²	—	2	4	no	—
2181	C₄²	—	2	2	no	—
2182	C₄²	—	2	4	no	—
2183	C₄²	—	2	4	no	—
2184	C₄²	—	2	4	no	—
2185	C₄²	—	2	2	no	—
2186	C₄²	—	2	2	no	—
2187	C₄²	—	2	2	no	—
2188	C₄²	—	2	2	no	—
2189	C₄²	—	2	2	no	—
2190	C₄²	—	2	2	no	—
2191	C₄²	—	4	2	no	—
2192	C₄²	—	4	1	no	—
2193	C₄²	—	4	2	no	—
2194	C₄²	—	4	1	no	—
2195	C₄²	—	4	1	no	—
2196	C₄²	—	4	1	no	—
2197	C₄²	—	4	2	no	—
2198	C₄²	—	4	1	no	—
2199	C₄²	—	4	2	no	—
2200	C₄²	—	4	2	no	—
2201	C₄²	—	4	2	no	—
2202	C₄²	—	4	2	no	—
2203	C₄²	—	4	2	no	—
2204	C₄²	—	4	2	no	—
2205	C₄²	—	4	2	no	—
2206	C₄²	—	4	2	no	—
2207	C₄²	—	4	2	no	—
2208	C₄²	—	4	2	no	—
2209	C₄²	—	4	2	no	—
2210	C₄²	—	4	1	no	—
2211	C₄²	—	4	2	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	—	2	1	no	—
2219	C₂³	—	2	1	no	—
2220	C₂³	—	2	1	no	—
2221	C₂³	—	2	1	no	—
2222	C₂³	—	2	1	no	—
2223	C₂³	—	2	1	no	—
2224	C₂³	—	2	2	no	—
2225	C₂³	—	2	2	no	—
2226	C₂³	—	2	2	no	—
2227	C₂³	—	2	2	no	—
2228	C₂³	—	2	2	no	—
2229	C₂³	—	2	2	no	—
2230	C₂³	—	2	2	no	—
2231	C₂³	C₂×H(5,𝔽₂)	1	2	yes	—
2232	C₂³	#585	1	2	yes	—
2233	C₂³	C₂⁶	1	1	yes	characteristic
2234	Q₈	—	2	8	no	—
2235	Q₈	—	2	8	no	—
2236	Q₈	—	4	4	no	—
2237	Q₈	—	4	8	no	—
2238	Q₈	—	4	8	no	—
2239	Q₈	—	8	4	no	—
2240	Q₈	—	8	2	no	—
2241	Q₈	—	8	2	no	—
2242	Q₈	—	8	4	no	—
2243	Q₈	—	8	4	no	—
2244	Q₈	—	8	4	no	—
2245	Q₈	—	8	4	no	—
2246	Q₈	—	16	2	no	—
2247	D₄	—	4	4	no	—
2248	D₄	—	4	4	no	—
2249	D₄	—	8	4	no	—
2250	D₄	—	8	4	no	—
2251	C₂×C₄	—	2	1	no	—
2252	C₂×C₄	—	2	1	no	—
2253	C₂×C₄	—	2	2	no	—
2254	C₂×C₄	—	2	2	no	—
2255	C₂×C₄	—	2	1	no	—
2256	C₂×C₄	—	2	1	no	—
2257	C₂×C₄	—	2	2	no	—
2258	C₂×C₄	—	2	1	no	—
2259	C₂×C₄	—	2	1	no	—
2260	C₂×C₄	—	2	2	no	—
2261	C₂×C₄	—	2	2	no	—
2262	C₂×C₄	—	2	2	no	—
2263	C₂×C₄	—	2	1	no	—
2264	C₂×C₄	—	2	1	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	2	no	—
2270	C₂×C₄	—	2	1	no	—
2271	C₂×C₄	—	2	1	no	—
2272	C₂×C₄	—	2	1	no	—
2273	C₂×C₄	—	2	1	no	—
2274	C₂×C₄	—	2	2	no	—
2275	C₂×C₄	—	2	1	no	—
2276	C₂×C₄	—	2	1	no	—
2277	C₂×C₄	—	2	2	no	—
2278	C₂×C₄	—	2	2	no	—
2279	C₂×C₄	—	2	1	no	—
2280	C₂×C₄	—	2	1	no	—
2281	C₂×C₄	—	2	1	no	—
2282	C₂×C₄	—	2	1	no	—
2283	C₂×C₄	—	2	1	no	—
2284	C₂×C₄	—	2	2	no	—
2285	C₂×C₄	—	2	1	no	—
2286	C₂×C₄	—	2	2	no	—
2287	C₂×C₄	—	2	1	no	—
2288	C₂×C₄	—	2	1	no	—
2289	C₂×C₄	—	2	1	no	—
2290	C₂×C₄	—	2	1	no	—
2291	C₂×C₄	—	2	2	no	—
2292	C₂×C₄	—	2	2	no	—
2293	C₂×C₄	—	2	2	no	—
2294	C₂×C₄	—	2	2	no	—
2295	C₂×C₄	—	2	2	no	—
2296	C₂×C₄	—	2	2	no	—
2297	C₂×C₄	—	2	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	2	no	—
2304	C₂×C₄	—	2	2	no	—
2305	C₂×C₄	—	2	1	no	—
2306	C₂×C₄	—	2	1	no	—
2307	C₂×C₄	—	2	1	no	—
2308	C₂×C₄	—	2	1	no	—
2309	C₂×C₄	—	2	1	no	—
2310	C₂×C₄	—	2	1	no	—
2311	C₂×C₄	—	2	1	no	—
2312	C₂×C₄	—	2	1	no	—
2313	C₂×C₄	—	2	2	no	—
2314	C₂×C₄	—	2	1	no	—
2315	C₂×C₄	—	2	1	no	—
2316	C₂×C₄	—	2	2	no	—
2317	C₂×C₄	—	2	2	no	—
2318	C₂×C₄	—	2	1	no	—
2319	C₂×C₄	—	2	1	no	—
2320	C₂×C₄	—	2	1	no	—
2321	C₂×C₄	—	2	2	no	—
2322	C₂×C₄	—	2	2	no	—
2323	C₂×C₄	—	2	2	no	—
2324	C₂×C₄	—	2	1	no	—
2325	C₂×C₄	—	2	2	no	—
2326	C₂×C₄	—	2	1	no	—
2327	C₂×C₄	—	2	1	no	—
2328	C₂×C₄	—	2	1	no	—
2329	C₂×C₄	—	2	2	no	—
2330	C₂×C₄	—	2	1	no	—
2331	C₂×C₄	—	2	1	no	—
2332	C₂×C₄	—	2	1	no	—
2333	C₂×C₄	—	2	1	no	—
2334	C₂×C₄	—	2	2	no	—
2335	C₂×C₄	—	2	1	no	—
2336	C₂×C₄	—	2	1	no	—
2337	C₂×C₄	—	2	1	no	—
2338	C₂×C₄	—	2	1	no	—
2339	C₂×C₄	—	2	1	no	—
2340	C₂×C₄	—	2	1	no	—
2341	C₂×C₄	—	2	1	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	1	no	—
2348	C₂×C₄	—	2	1	no	—
2349	C₂×C₄	—	2	1	no	—
2350	C₂×C₄	—	2	2	no	—
2351	C₂×C₄	—	2	2	no	—
2352	C₂×C₄	—	2	2	no	—
2353	C₂×C₄	—	2	2	no	—
2354	C₂×C₄	—	2	2	no	—
2355	C₂×C₄	—	2	1	no	—
2356	C₂×C₄	—	2	1	no	—
2357	C₂×C₄	—	2	2	no	—
2358	C₂×C₄	—	2	1	no	—
2359	C₂×C₄	—	2	1	no	—
2360	C₂×C₄	—	2	2	no	—
2361	C₂×C₄	—	2	2	no	—
2362	C₂×C₄	—	2	1	no	—
2363	C₂×C₄	—	2	2	no	—
2364	C₂×C₄	—	2	2	no	—
2365	C₂×C₄	—	2	1	no	—
2366	C₂×C₄	—	2	1	no	—
2367	C₂×C₄	—	2	1	no	—
2368	C₂×C₄	—	2	1	no	—
2369	C₂×C₄	—	2	1	no	—
2370	C₂×C₄	—	2	1	no	—
2371	C₂×C₄	—	2	1	no	—
2372	C₂×C₄	—	4	8	no	—
2373	C₂×C₄	—	4	4	no	—
2374	C₂×C₄	—	4	8	no	—
2375	C₂×C₄	—	4	8	no	—
2376	C₂×C₄	—	4	4	no	—
2377	C₂×C₄	—	4	4	no	—
2378	C₂×C₄	—	4	4	no	—
2379	C₂×C₄	—	4	4	no	—
2380	C₂×C₄	—	8	4	no	—
2381	C₂×C₄	—	8	4	no	—
2382	C₂×C₄	—	8	2	no	—
2383	C₂×C₄	—	8	4	no	—
2384	C₂×C₄	—	16	2	no	—
2385	C₂×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
2386	C₂×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
2387	C₂×C₄	C₂×H(5,𝔽₂)	1	4	yes	—
2388	C₂×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
2389	C₂×C₄	C₂×2₋¹⁺⁴	1	4	yes	—
2390	C₂×C₄	C₂×2₋¹⁺⁴	1	4	yes	—
2391	C₂×C₄	C₂×2₋¹⁺⁴	1	2	yes	—
2392	C₂×C₄	C₂×2₋¹⁺⁴	1	2	yes	—
2393	C₂×C₄	C₂×2₋¹⁺⁴	1	2	yes	—
2394	C₂×C₄	C₂×2₋¹⁺⁴	1	2	yes	—
2395	C₂×C₄	C₂×2₋¹⁺⁴	1	2	yes	—
2396	C₂²	—	2	2	no	—
2397	C₂²	—	2	2	no	—
2398	C₂²	—	2	2	no	—
2399	C₂²	—	2	2	no	—
2400	C₂²	—	2	2	no	—
2401	C₂²	—	2	2	no	—
2402	C₂²	—	4	1	no	—
2403	C₂²	—	4	1	no	—
2404	C₂²	—	4	1	no	—
2405	C₂²	—	4	1	no	—
2406	C₂²	—	4	1	no	—
2407	C₂²	—	4	1	no	—
2408	C₂²	—	4	1	no	—
2409	C₂²	—	4	1	no	—
2410	C₂²	—	4	2	no	—
2411	C₂²	—	4	2	no	—
2412	C₂²	—	4	2	no	—
2413	C₂²	—	4	2	no	—
2414	C₂²	—	4	2	no	—
2415	C₂²	—	4	2	no	—
2416	C₂²	—	4	2	no	—
2417	C₂²	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
2418	C₂²	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
2419	C₂²	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
2420	C₂²	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
2421	C₂²	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
2422	C₂²	C₂×#585	1	1	yes	characteristic
2423	C₂²	2₋¹⁺⁶	1	1	yes	characteristic
2424	C₄	—	2	4	no	—
2425	C₄	—	2	4	no	—
2426	C₄	—	2	4	no	—
2427	C₄	—	2	2	no	—
2428	C₄	—	2	2	no	—
2429	C₄	—	2	2	no	—
2430	C₄	—	2	2	no	—
2431	C₄	—	2	2	no	—
2432	C₄	—	4	1	no	—
2433	C₄	—	4	1	no	—
2434	C₄	—	4	2	no	—
2435	C₄	—	4	2	no	—
2436	C₄	—	4	1	no	—
2437	C₄	—	4	1	no	—
2438	C₄	—	4	2	no	—
2439	C₄	—	4	1	no	—
2440	C₄	—	4	2	no	—
2441	C₄	—	4	1	no	—
2442	C₄	—	4	1	no	—
2443	C₄	—	4	2	no	—
2444	C₄	—	4	1	no	—
2445	C₄	—	4	2	no	—
2446	C₄	—	4	2	no	—
2447	C₄	—	4	1	no	—
2448	C₄	—	4	1	no	—
2449	C₄	—	4	1	no	—
2450	C₄	—	4	1	no	—
2451	C₄	—	4	1	no	—
2452	C₄	—	4	1	no	—
2453	C₄	—	4	1	no	—
2454	C₄	—	4	2	no	—
2455	C₄	—	4	1	no	—
2456	C₄	—	4	1	no	—
2457	C₄	—	4	1	no	—
2458	C₄	—	4	2	no	—
2459	C₄	—	4	2	no	—
2460	C₄	—	4	1	no	—
2461	C₄	—	4	2	no	—
2462	C₄	—	4	1	no	—
2463	C₄	—	4	1	no	—
2464	C₄	—	4	1	no	—
2465	C₄	—	4	1	no	—
2466	C₄	—	4	2	no	—
2467	C₄	#3538	1	4	yes	—
2468	C₂	—	4	2	no	—
2469	C₂	—	4	2	no	—
2470	C₂	—	8	2	no	—
2471	C₂	C₂×#3538	1	1	yes	characteristic
2472	C₂	#62893	1	1	yes	characteristic
2473	C₂	#62946	1	1	yes	characteristic
2474	C₂	#62949	1	1	yes	characteristic
2475	C₂	#63012	1	1	yes	characteristic
2476	C₂	#63037	1	1	yes	characteristic
2477	C₂	#63038	1	1	yes	characteristic

	subgroup	G/H
center, commutator, Frattini, socle, cosocle	C₂³	C₂⁶
prime radical	C₂×#547	C₂²
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂³ ◁ G
LECS	G ▷ C₂³ ▷ C₁

Complements

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

N	H ≅ G/N	type
1. #59655	C₂	semidirect
2. #59502	C₂	semidirect
3. #59485	C₂	semidirect
4. #59383	C₂	semidirect
5. #59151	C₂	semidirect
6. #59144	C₂	semidirect
7. #58287	C₂	semidirect
8. #58057	C₂	semidirect
9. #57327	C₂	semidirect
10. #56818	C₂	semidirect
11. #55488	C₂	semidirect
12. #55477	C₂	semidirect
13. #53226	C₂	semidirect
14. #52302	C₂	semidirect
15. #51542	C₂	semidirect
16. #51330	C₂	semidirect
17. #50532	C₂	semidirect
18. #49755	C₂	semidirect
19. #48008	C₂	semidirect
20. #47976	C₂	semidirect
21. #45702	C₂	semidirect
22. #45648	C₂	semidirect
23. #45485	C₂	semidirect
24. #45424	C₂	semidirect
25. #45419	C₂	semidirect
26. #45407	C₂	semidirect
27. #45292	C₂	semidirect
28. #45080	C₂	semidirect
29. #45021	C₂	semidirect
30. #42841	C₂	semidirect
31. #42825	C₂	semidirect
32. #42823	C₂	semidirect
33. #42820	C₂	semidirect
34. #42623	C₂	semidirect
36. #40483	C₂	semidirect
37. #40197	C₂	semidirect
38. #40119	C₂	semidirect
39. #40099	C₂	semidirect
40. #39626	C₂	semidirect
41. #39435	C₂	semidirect
42. #39407	C₂	semidirect
44. #38800	C₂	semidirect
45. Q₈×C₂²⋊Q₈	C₂	semidirect
46. #36435	C₂	semidirect

Maximal subgroups

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

subgroup	index
#59655	2
#59502	2
#59485	2
#59383	2
#59151	2
#59144	2
#58287	2
#58057	2
#57327	2
#56818	2
#55488	2
#55477	2
#53226	2
#52302	2
#51542	2
#51330	2
#50532	2
#49755	2
#48008	2
#47976	2
#45702	2
#45648	2
#45485	2
#45424	2
#45419	2
#45407	2
#45292	2
#45080	2
#45021	2
#42841	2
#42825	2
#42823	2
#42820	2
#42623	2
#42482	2
#40483	2
#40197	2
#40119	2
#40099	2
#39626	2
#39435	2
#39407	2
#39337	2
#38800	2
Q₈×C₂²⋊Q₈	2
#36435	2
#36422	2