Subgroups — #8108029

Order 512.

4197 conjugacy classes of subgroups.

The subgroup lattice has 1692 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#53140	C₂	1	2	yes	maximal
2	#53107	C₂	1	2	yes	maximal
3	#53036	C₂	1	2	yes	maximal, complemented
4	#53013	C₂	1	2	yes	maximal
5	#52996	C₂	1	2	yes	maximal, complemented
6	#52965	C₂	1	2	yes	maximal
7	#45426	C₂	1	2	yes	maximal, complemented
8	#45363	C₂	1	2	yes	maximal, complemented
9	#45346	C₂	1	2	yes	maximal
10	#45343	C₂	1	2	yes	maximal
11	#45329	C₂	1	2	yes	maximal
12	#45324	C₂	1	2	yes	maximal
13	#42864	C₂	1	2	yes	maximal, complemented
14	#42850	C₂	1	2	yes	maximal, complemented
15	#42822	C₂	1	2	yes	maximal, complemented
16	#42811	C₂	1	2	yes	maximal, complemented
17	#42710	C₂	1	2	yes	maximal, complemented
18	#42701	C₂	1	2	yes	maximal, complemented
19	#42670	C₂	1	2	yes	maximal
20	#42663	C₂	1	2	yes	maximal
21	#42553	C₂	1	2	yes	maximal, complemented
22	#42511	C₂	1	2	yes	maximal, complemented
23	#42470	C₂	1	2	yes	maximal
24	#42461	C₂	1	2	yes	maximal
25	#36598	C₂	1	1	yes	maximal, characteristic, complemented
26	#36598	C₂	1	1	yes	maximal, characteristic, complemented
27	#36598	C₂	1	1	yes	maximal, characteristic, complemented
28	#36593	C₂	1	1	yes	maximal, characteristic, complemented
29	#36574	C₂	1	1	yes	maximal, characteristic, complemented
30	#36574	C₂	1	1	yes	maximal, characteristic, complemented
31	#36563	C₂	1	1	yes	maximal, characteristic, complemented
32	#36560	C₂	1	1	yes	maximal, characteristic, complemented
33	#35319	C₂	1	1	yes	maximal, characteristic
34	#35291	C₂	1	1	yes	maximal, characteristic
35	#35291	C₂	1	1	yes	maximal, characteristic
36	#35284	C₂	1	1	yes	maximal, characteristic
37	#35284	C₂	1	1	yes	maximal, characteristic
38	#35283	C₂	1	1	yes	maximal, characteristic
39	#34552	C₂	1	1	yes	maximal, characteristic
40	C₂×#557	C₂²	1	2	yes	—
41	C₂×#557	C₂²	1	2	yes	—
42	C₂×#541	C₂²	1	2	yes	—
43	#2868	C₂²	1	1	yes	characteristic
44	#2868	C₂²	1	1	yes	characteristic
45	#2868	C₂²	1	1	yes	characteristic
46	#2868	C₂²	1	1	yes	characteristic
47	#2862	C₂²	1	1	yes	characteristic
48	#2862	C₂²	1	1	yes	characteristic
49	#2862	C₂²	1	1	yes	characteristic
50	#2859	C₂²	1	1	yes	characteristic
51	#2859	C₂²	1	1	yes	characteristic
52	#2859	C₂²	1	1	yes	characteristic
53	#2859	C₂²	1	1	yes	characteristic
54	#2859	C₂²	1	1	yes	characteristic
55	#2857	C₂²	1	1	yes	characteristic
56	#2857	C₂²	1	1	yes	characteristic
57	#2857	C₂²	1	1	yes	characteristic
58	#2857	C₂²	1	1	yes	characteristic
59	#2845	C₂²	1	4	yes	—
60	#2839	C₂²	1	4	yes	—
61	#2839	C₂²	1	4	yes	—
62	#2839	C₂²	1	4	yes	—
63	#2839	C₂²	1	4	yes	—
64	#2839	C₂²	1	4	yes	—
65	#2839	C₂²	1	4	yes	—
66	#2836	C₂²	1	4	yes	—
67	#2836	C₂²	1	4	yes	—
68	#2831	C₂²	1	4	yes	—
69	#2831	C₂²	1	4	yes	—
70	#2822	C₂²	1	4	yes	—
71	#2810	C₂²	1	4	yes	—
72	#2809	C₂²	1	4	yes	—
73	#2806	C₂²	1	4	yes	—
74	#2802	C₂²	1	4	yes	—
75	#2802	C₂²	1	4	yes	—
76	#2798	C₂²	1	4	yes	—
77	#2794	C₂²	1	4	yes	—
78	#2791	C₂²	1	4	yes	—
79	#2789	C₂²	1	4	yes	—
80	#2783	C₂²	1	4	yes	—
81	#2776	C₂²	1	4	yes	—
82	#2774	C₂²	1	4	yes	—
83	#2772	C₂²	1	4	yes	—
84	#2767	C₂²	1	4	yes	—
85	#2767	C₂²	1	4	yes	—
86	#2766	C₂²	1	4	yes	—
87	#2758	C₂²	1	4	yes	—
88	#2755	C₂²	1	4	yes	—
89	#2755	C₂²	1	4	yes	—
90	#2754	C₂²	1	4	yes	—
91	#2726	C₂²	1	4	yes	—
92	#2725	C₂²	1	4	yes	—
93	#2725	C₂²	1	4	yes	—
94	#2721	C₂²	1	4	yes	—
95	#2719	C₂²	1	4	yes	—
96	#2719	C₂²	1	4	yes	—
97	#2719	C₂²	1	4	yes	—
98	#2719	C₂²	1	4	yes	—
99	#2719	C₂²	1	4	yes	—
100	#2716	C₂²	1	4	yes	—
101	#2713	C₂²	1	4	yes	—
102	#2713	C₂²	1	4	yes	—
103	#2666	C₂²	1	4	yes	—
104	#2666	C₂²	1	4	yes	—
105	#2655	C₂²	1	4	yes	—
106	#2655	C₂²	1	4	yes	—
107	#2655	C₂²	1	4	yes	—
108	#2655	C₂²	1	4	yes	—
109	#2647	C₂²	1	2	yes	—
110	#2647	C₂²	1	2	yes	—
111	#2647	C₂²	1	2	yes	—
112	#2645	C₂²	1	2	yes	—
113	#2645	C₂²	1	2	yes	—
114	#2642	C₂²	1	2	yes	—
115	#2634	C₂²	1	4	yes	—
116	#2634	C₂²	1	4	yes	—
117	#2629	C₂²	1	2	yes	—
118	#2629	C₂²	1	2	yes	—
119	#2628	C₂²	1	2	yes	—
120	#2625	C₂²	1	2	yes	—
121	#2625	C₂²	1	2	yes	—
122	#2621	C₂²	1	2	yes	—
123	#2590	C₂²	1	4	yes	—
124	#2588	C₂²	1	4	yes	—
125	#2584	C₂²	1	2	yes	—
126	#2584	C₂²	1	2	yes	—
127	#2584	C₂²	1	2	yes	—
128	#2584	C₂²	1	2	yes	—
129	#2582	C₂²	1	2	yes	—
130	#2582	C₂²	1	2	yes	—
131	#2582	C₂²	1	2	yes	—
132	#2582	C₂²	1	2	yes	—
133	#2581	C₂²	1	2	yes	—
134	#2581	C₂²	1	4	yes	—
135	#2581	C₂²	1	2	yes	—
136	#2571	C₂²	1	2	yes	—
137	#2571	C₂²	1	2	yes	—
138	#2571	C₂²	1	2	yes	—
139	#2570	C₂²	1	2	yes	—
140	#2570	C₂²	1	2	yes	—
141	#2570	C₂²	1	2	yes	—
142	#2570	C₂²	1	2	yes	—
143	#2570	C₂²	1	2	yes	—
144	#2570	C₂²	1	2	yes	—
145	#2568	C₂²	1	2	yes	—
146	#2568	C₂²	1	2	yes	—
147	#2568	C₂²	1	2	yes	—
148	#2568	C₂²	1	2	yes	—
149	#2567	C₂²	1	2	yes	—
150	#2565	C₂²	1	2	yes	—
151	#2565	C₂²	1	2	yes	—
152	#2552	C₂²	1	2	yes	—
153	#2552	C₂²	1	2	yes	—
154	#2552	C₂²	1	2	yes	—
155	#2552	C₂²	1	2	yes	—
156	#2552	C₂²	1	2	yes	—
157	#2552	C₂²	1	2	yes	—
158	#2552	C₂²	1	2	yes	—
159	#2550	C₂²	1	2	yes	—
160	#2550	C₂²	1	4	yes	—
161	#2550	C₂²	1	2	yes	—
162	#2546	C₂²	1	2	yes	—
163	#2546	C₂²	1	2	yes	—
164	#2546	C₂²	1	2	yes	—
165	#2546	C₂²	1	2	yes	—
166	#2546	C₂²	1	2	yes	—
167	#2520	C₂²	1	4	yes	—
168	#2519	C₂²	1	4	yes	—
169	#2519	C₂²	1	4	yes	—
170	#2514	C₂²	1	2	yes	—
171	#2514	C₂²	1	2	yes	—
172	#2511	C₂²	1	2	yes	—
173	#2511	C₂²	1	2	yes	—
174	#2511	C₂²	1	2	yes	—
175	#2511	C₂²	1	2	yes	—
176	#2511	C₂²	1	2	yes	—
177	#2511	C₂²	1	2	yes	—
178	#2511	C₂²	1	2	yes	—
179	#2511	C₂²	1	2	yes	—
180	#2509	C₂²	1	2	yes	—
181	#2509	C₂²	1	2	yes	—
182	#2509	C₂²	1	2	yes	—
183	#2509	C₂²	1	2	yes	—
184	#2509	C₂²	1	2	yes	—
185	#2509	C₂²	1	2	yes	—
186	#2508	C₂²	1	2	yes	—
187	#2508	C₂²	1	2	yes	—
188	#2508	C₂²	1	2	yes	—
189	#2508	C₂²	1	2	yes	—
190	#2508	C₂²	1	2	yes	—
191	#2508	C₂²	1	2	yes	—
192	#2507	C₂²	1	2	yes	—
193	#2507	C₂²	1	2	yes	—
194	#2507	C₂²	1	2	yes	—
195	#2507	C₂²	1	2	yes	—
196	#2507	C₂²	1	2	yes	—
197	#2507	C₂²	1	2	yes	—
198	#2506	C₂²	1	2	yes	—
199	#2506	C₂²	1	2	yes	—
200	#2506	C₂²	1	4	yes	—
201	#2506	C₂²	1	2	yes	—
202	#2506	C₂²	1	2	yes	—
203	#2506	C₂²	1	2	yes	—
204	#2506	C₂²	1	2	yes	—
205	#2506	C₂²	1	2	yes	—
206	#2506	C₂²	1	2	yes	—
207	#2497	C₂²	1	2	yes	—
208	#2497	C₂²	1	2	yes	—
209	#2497	C₂²	1	2	yes	—
210	#2497	C₂²	1	2	yes	—
211	#2496	C₂²	1	2	yes	—
212	#2496	C₂²	1	2	yes	—
213	#2496	C₂²	1	2	yes	—
214	#2496	C₂²	1	2	yes	—
215	#2495	C₂²	1	2	yes	—
216	#2495	C₂²	1	2	yes	—
217	#2494	C₂²	1	2	yes	—
218	#2494	C₂²	1	2	yes	—
219	#2492	C₂²	1	2	yes	—
220	#2492	C₂²	1	2	yes	—
221	#2489	C₂²	1	2	yes	—
222	#2489	C₂²	1	2	yes	—
223	#2469	C₂²	1	4	yes	—
224	#2469	C₂²	1	4	yes	—
225	#2462	C₂²	1	4	yes	—
226	#2453	C₂²	1	2	yes	—
227	#2453	C₂²	1	4	yes	—
228	#2453	C₂²	1	2	yes	—
229	#2453	C₂²	1	2	yes	—
230	#2453	C₂²	1	2	yes	—
231	#2453	C₂²	1	2	yes	—
232	#2453	C₂²	1	2	yes	—
233	#2451	C₂²	1	2	yes	—
234	#2451	C₂²	1	2	yes	—
235	#2451	C₂²	1	2	yes	—
236	#2451	C₂²	1	2	yes	—
237	#2446	C₂²	1	2	yes	—
238	#2446	C₂²	1	2	yes	—
239	#2446	C₂²	1	2	yes	—
240	#2446	C₂²	1	2	yes	—
241	#2446	C₂²	1	2	yes	—
242	#2446	C₂²	1	2	yes	—
243	#2446	C₂²	1	2	yes	—
244	#2446	C₂²	1	2	yes	—
245	#2446	C₂²	1	2	yes	—
246	#2446	C₂²	1	2	yes	—
247	#2429	C₂²	1	2	yes	—
248	#2429	C₂²	1	2	yes	—
249	#2429	C₂²	1	2	yes	—
250	#2429	C₂²	1	2	yes	—
251	#2423	C₂²	1	2	yes	—
252	#2423	C₂²	1	2	yes	—
253	#2421	C₂²	1	2	yes	—
254	#2421	C₂²	1	2	yes	—
255	#2402	C₂²	1	1	yes	characteristic
256	#2402	C₂²	1	1	yes	characteristic
257	#2402	C₂²	1	1	yes	characteristic
258	#2402	C₂²	1	1	yes	characteristic
259	#2402	C₂²	1	1	yes	characteristic
260	#2402	C₂²	1	1	yes	characteristic
261	#2399	C₂²	1	1	yes	characteristic
262	#2399	C₂²	1	1	yes	characteristic
263	#2399	C₂²	1	1	yes	characteristic
264	#2399	C₂²	1	1	yes	characteristic
265	#2399	C₂²	1	1	yes	characteristic
266	#2399	C₂²	1	1	yes	characteristic
267	#2396	C₂²	1	1	yes	characteristic
268	#2396	C₂²	1	1	yes	characteristic
269	#2396	C₂²	1	1	yes	characteristic
270	#2396	C₂²	1	1	yes	characteristic
271	#2396	C₂²	1	1	yes	characteristic
272	#2396	C₂²	1	1	yes	characteristic
273	#2396	C₂²	1	1	yes	characteristic
274	#2396	C₂²	1	1	yes	characteristic
275	#2396	C₂²	1	1	yes	characteristic
276	#2396	C₂²	1	1	yes	characteristic
277	#2396	C₂²	1	1	yes	characteristic
278	#2396	C₂²	1	1	yes	characteristic
279	#2370	C₂²	1	2	yes	—
280	#2370	C₂²	1	2	yes	—
281	#2370	C₂²	1	2	yes	—
282	#2370	C₂²	1	2	yes	—
283	#2369	C₂²	1	2	yes	—
284	#2365	C₂²	1	2	yes	—
285	#2365	C₂²	1	2	yes	—
286	#2365	C₂²	1	2	yes	—
287	#2365	C₂²	1	2	yes	—
288	#2365	C₂²	1	2	yes	—
289	#2355	C₂²	1	2	yes	—
290	#2355	C₂²	1	2	yes	—
291	#2355	C₂²	1	2	yes	—
292	#2355	C₂²	1	2	yes	—
293	#2355	C₂²	1	2	yes	—
294	#2355	C₂²	1	2	yes	—
295	#2355	C₂²	1	2	yes	—
296	#2351	C₂²	1	2	yes	—
297	#2351	C₂²	1	2	yes	—
298	Q₈×C₄⋊C₄	C₂²	1	2	yes	—
299	Q₈×C₄⋊C₄	C₂²	1	2	yes	—
300	Q₈×C₄⋊C₄	C₂²	1	2	yes	—
301	#2331	C₂²	1	2	yes	—
302	#2330	C₂²	1	2	yes	—
303	#2330	C₂²	1	2	yes	—
304	#2327	C₂²	1	2	yes	—
305	#2323	C₂²	1	2	yes	—
306	#2323	C₂²	1	2	yes	—
307	#2320	C₂²	1	2	yes	—
308	#2320	C₂²	1	2	yes	—
309	#2314	C₂²	1	2	yes	—
310	#2314	C₂²	1	2	yes	—
311	#2314	C₂²	1	2	yes	—
312	C₄×C₄⋊Q₈	C₂²	1	1	yes	characteristic
313	C₄×C₄⋊Q₈	C₂²	1	1	yes	characteristic
314	C₄×C₄⋊Q₈	C₂²	1	1	yes	characteristic
315	C₄×C₄⋊Q₈	C₂²	1	1	yes	characteristic
316	C₄×C₄⋊Q₈	C₂²	1	1	yes	characteristic
317	C₄×C₄⋊Q₈	C₂²	1	1	yes	characteristic
318	C₄×C₄⋊Q₈	C₂²	1	1	yes	characteristic
319	C₄×C₄⋊Q₈	C₂²	1	1	yes	characteristic
320	C₄×C₄⋊Q₈	C₂²	1	1	yes	characteristic
321	C₄×C₄⋊Q₈	C₂²	1	1	yes	characteristic
322	C₄×C₄⋊Q₈	C₂²	1	1	yes	characteristic
323	C₄×C₄⋊Q₈	C₂²	1	1	yes	characteristic
324	C₄²×Q₈	C₂²	1	1	yes	characteristic
325	C₄²×Q₈	C₂²	1	1	yes	characteristic
326	C₄²×Q₈	C₂²	1	1	yes	characteristic
327	C₄²×Q₈	C₂²	1	1	yes	characteristic
328	C₄×#117	C₂²	1	1	yes	characteristic
329	C₄×#117	C₂²	1	1	yes	characteristic
330	C₄×#117	C₂²	1	1	yes	characteristic
331	#557	—	4	8	no	—
332	#557	—	4	8	no	—
333	#541	—	4	8	no	—
334	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
335	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
336	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
337	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
338	C₂×C₄⋊Q₈	C₂³	1	2	yes	—
339	C₂×C₄⋊Q₈	C₂³	1	2	yes	—
340	C₂×C₄⋊Q₈	C₂³	1	2	yes	—
341	C₂×C₄⋊Q₈	C₂³	1	2	yes	—
342	C₂×C₄⋊Q₈	C₂³	1	2	yes	—
343	C₂×C₄⋊Q₈	C₂³	1	2	yes	—
344	C₂×C₄⋊Q₈	C₂³	1	2	yes	—
345	C₂×C₄⋊Q₈	C₂³	1	2	yes	—
346	C₂×C₄⋊Q₈	C₂³	1	2	yes	—
347	C₂×C₄⋊Q₈	C₂³	1	4	yes	—
348	C₂×#126	C₂³	1	4	yes	—
349	C₂×#126	C₂³	1	4	yes	—
350	C₂×#125	C₂³	1	2	yes	—
351	C₂×#125	C₂³	1	2	yes	—
352	C₂×#125	C₂³	1	2	yes	—
353	C₂×#125	C₂³	1	4	yes	—
354	C₂×#125	C₂³	1	4	yes	—
355	C₂×#125	C₂³	1	2	yes	—
356	C₂×#125	C₂³	1	2	yes	—
357	C₂×#125	C₂³	1	4	yes	—
358	C₂×#125	C₂³	1	4	yes	—
359	C₂×#125	C₂³	1	4	yes	—
360	C₂×#125	C₂³	1	4	yes	—
361	C₂×#125	C₂³	1	4	yes	—
362	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
363	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
364	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
365	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
366	C₂×C₄×Q₈	C₂³	1	2	yes	—
367	C₂×C₄×Q₈	C₂³	1	2	yes	—
368	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
369	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
370	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
371	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
372	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
373	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
374	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
375	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
376	C₂×C₄×Q₈	C₂³	1	2	yes	—
377	C₂×C₄×Q₈	C₂³	1	2	yes	—
378	C₂×C₄×Q₈	C₂³	1	2	yes	—
379	C₂×C₄×Q₈	C₂³	1	2	yes	—
380	C₂×C₄×Q₈	C₂³	1	2	yes	—
381	C₂×C₄×Q₈	C₂³	1	2	yes	—
382	C₂×C₄×Q₈	C₂³	1	2	yes	—
383	C₂×C₄×Q₈	C₂³	1	2	yes	—
384	C₂×C₄×Q₈	C₂³	1	2	yes	—
385	C₂×C₄×Q₈	C₂³	1	2	yes	—
386	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
387	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
388	C₂×C₄×Q₈	C₂³	1	4	yes	—
389	C₂×C₄×Q₈	C₂³	1	4	yes	—
390	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
391	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
392	C₂×#117	C₂³	1	1	yes	characteristic
393	C₂×#117	C₂³	1	1	yes	characteristic
394	C₂×#117	C₂³	1	1	yes	characteristic
395	C₂×#117	C₂³	1	1	yes	characteristic
396	C₂×#117	C₂³	1	1	yes	characteristic
397	C₂×#117	C₂³	1	1	yes	characteristic
398	C₂²×C₄²	C₂³	1	1	yes	characteristic
399	#401	C₂³	1	4	yes	—
400	#401	C₂³	1	4	yes	—
401	#400	C₂³	1	4	yes	—
402	#400	C₂³	1	4	yes	—
403	#400	C₂³	1	4	yes	—
404	#400	C₂³	1	4	yes	—
405	#400	C₂³	1	4	yes	—
406	#400	C₂³	1	4	yes	—
407	#400	C₂³	1	4	yes	—
408	#400	C₂³	1	4	yes	—
409	#400	C₂³	1	4	yes	—
410	#400	C₂³	1	4	yes	—
411	#400	C₂³	1	4	yes	—
412	#400	C₂³	1	4	yes	—
413	#400	C₂³	1	4	yes	—
414	#400	C₂³	1	4	yes	—
415	#400	C₂³	1	4	yes	—
416	#400	C₂³	1	4	yes	—
417	#400	C₂³	1	4	yes	—
418	#400	C₂³	1	4	yes	—
419	#400	C₂³	1	4	yes	—
420	#400	C₂³	1	4	yes	—
421	#400	C₂³	1	1	yes	characteristic
422	#400	C₂³	1	1	yes	characteristic
423	#400	C₂³	1	1	yes	characteristic
424	#400	C₂³	1	1	yes	characteristic
425	#400	C₂³	1	4	yes	—
426	#400	C₂³	1	4	yes	—
427	#400	C₂³	1	4	yes	—
428	#400	C₂³	1	4	yes	—
429	#400	C₂³	1	4	yes	—
430	#400	C₂³	1	4	yes	—
431	#400	C₂³	1	4	yes	—
432	#400	C₂³	1	4	yes	—
433	#400	C₂³	1	4	yes	—
434	#400	C₂³	1	4	yes	—
435	#400	C₂³	1	4	yes	—
436	#400	C₂³	1	4	yes	—
437	#400	C₂³	1	4	yes	—
438	#400	C₂³	1	4	yes	—
439	#400	C₂³	1	4	yes	—
440	#400	C₂³	1	4	yes	—
441	#400	C₂³	1	4	yes	—
442	#400	C₂³	1	4	yes	—
443	#400	C₂³	1	4	yes	—
444	#400	C₂³	1	1	yes	characteristic
445	#400	C₂³	1	1	yes	characteristic
446	#400	C₂³	1	1	yes	characteristic
447	#400	C₂³	1	1	yes	characteristic
448	#400	C₂³	1	1	yes	characteristic
449	#400	C₂³	1	1	yes	characteristic
450	#400	C₂³	1	1	yes	characteristic
451	#400	C₂³	1	1	yes	characteristic
452	#399	C₂³	1	1	yes	characteristic
453	#399	C₂³	1	4	yes	—
454	#399	C₂³	1	1	yes	characteristic
455	#399	C₂³	1	1	yes	characteristic
456	#399	C₂³	1	1	yes	characteristic
457	#398	C₂³	1	4	yes	—
458	#398	C₂³	1	4	yes	—
459	#398	C₂³	1	4	yes	—
460	#398	C₂³	1	4	yes	—
461	#398	C₂³	1	1	yes	characteristic
462	#398	C₂³	1	4	yes	—
463	#398	C₂³	1	4	yes	—
464	#398	C₂³	1	4	yes	—
465	#398	C₂³	1	4	yes	—
466	#398	C₂³	1	4	yes	—
467	#398	C₂³	1	4	yes	—
468	#398	C₂³	1	4	yes	—
469	#398	C₂³	1	4	yes	—
470	#398	C₂³	1	4	yes	—
471	#398	C₂³	1	4	yes	—
472	#398	C₂³	1	4	yes	—
473	#398	C₂³	1	4	yes	—
474	#398	C₂³	1	4	yes	—
475	#398	C₂³	1	4	yes	—
476	#398	C₂³	1	4	yes	—
477	#398	C₂³	1	4	yes	—
478	#398	C₂³	1	4	yes	—
479	#398	C₂³	1	4	yes	—
480	#398	C₂³	1	1	yes	characteristic
481	#398	C₂³	1	1	yes	characteristic
482	#398	C₂³	1	4	yes	—
483	#398	C₂³	1	4	yes	—
484	#398	C₂³	1	4	yes	—
485	#398	C₂³	1	4	yes	—
486	#398	C₂³	1	4	yes	—
487	#398	C₂³	1	4	yes	—
488	#398	C₂³	1	4	yes	—
489	#398	C₂³	1	4	yes	—
490	#398	C₂³	1	4	yes	—
491	#398	C₂³	1	4	yes	—
492	#398	C₂³	1	4	yes	—
493	#398	C₂³	1	1	yes	characteristic
494	#398	C₂³	1	1	yes	characteristic
495	#398	C₂³	1	4	yes	—
496	#398	C₂³	1	4	yes	—
497	#398	C₂³	1	1	yes	characteristic
498	#398	C₂³	1	4	yes	—
499	#398	C₂³	1	4	yes	—
500	#398	C₂³	1	1	yes	characteristic
501	#398	C₂³	1	1	yes	characteristic
502	#398	C₂³	1	1	yes	characteristic
503	#398	C₂³	1	1	yes	characteristic
504	#398	C₂³	1	1	yes	characteristic
505	#398	C₂³	1	1	yes	characteristic
506	#398	C₂³	1	1	yes	characteristic
507	#398	C₂³	1	1	yes	characteristic
508	#398	C₂³	1	1	yes	characteristic
509	#398	C₂³	1	1	yes	characteristic
510	#398	C₂³	1	1	yes	characteristic
511	#398	C₂³	1	1	yes	characteristic
512	#398	C₂³	1	1	yes	characteristic
513	#398	C₂³	1	1	yes	characteristic
514	#398	C₂³	1	1	yes	characteristic
515	#398	C₂³	1	1	yes	characteristic
516	#398	C₂³	1	1	yes	characteristic
517	#398	C₂³	1	1	yes	characteristic
518	#398	C₂³	1	4	yes	—
519	#397	C₂³	1	4	yes	—
520	#397	C₂³	1	4	yes	—
521	#397	C₂³	1	4	yes	—
522	#397	C₂³	1	4	yes	—
523	#397	C₂³	1	4	yes	—
524	#397	C₂³	1	4	yes	—
525	#396	C₂³	1	1	yes	characteristic
526	#396	C₂³	1	4	yes	—
527	#396	C₂³	1	4	yes	—
528	#396	C₂³	1	1	yes	characteristic
529	#396	C₂³	1	4	yes	—
530	#396	C₂³	1	4	yes	—
531	#396	C₂³	1	1	yes	characteristic
532	#396	C₂³	1	1	yes	characteristic
533	#396	C₂³	1	1	yes	characteristic
534	#396	C₂³	1	1	yes	characteristic
535	#396	C₂³	1	1	yes	characteristic
536	#396	C₂³	1	1	yes	characteristic
537	#395	C₂³	1	4	yes	—
538	#395	C₂³	1	4	yes	—
539	#395	C₂³	1	4	yes	—
540	#395	C₂³	1	1	yes	characteristic
541	#395	C₂³	1	4	yes	—
542	#395	C₂³	1	4	yes	—
543	#395	C₂³	1	1	yes	characteristic
544	#395	C₂³	1	1	yes	characteristic
545	#395	C₂³	1	1	yes	characteristic
546	#395	C₂³	1	1	yes	characteristic
547	#395	C₂³	1	1	yes	characteristic
548	#395	C₂³	1	1	yes	characteristic
549	#395	C₂³	1	1	yes	characteristic
550	#395	C₂³	1	1	yes	characteristic
551	#395	C₂³	1	1	yes	characteristic
552	#395	C₂³	1	1	yes	characteristic
553	#395	C₂³	1	1	yes	characteristic
554	#393	C₂³	1	1	yes	characteristic
555	#393	C₂³	1	4	yes	—
556	#393	C₂³	1	1	yes	characteristic
557	#393	C₂³	1	1	yes	characteristic
558	#393	C₂³	1	1	yes	characteristic
559	#391	C₂³	1	2	yes	—
560	#391	C₂³	1	2	yes	—
561	#391	C₂³	1	2	yes	—
562	#391	C₂³	1	2	yes	—
563	#391	C₂³	1	2	yes	—
564	#391	C₂³	1	2	yes	—
565	#391	C₂³	1	2	yes	—
566	#391	C₂³	1	2	yes	—
567	#391	C₂³	1	2	yes	—
568	#391	C₂³	1	2	yes	—
569	#391	C₂³	1	2	yes	—
570	#391	C₂³	1	2	yes	—
571	#391	C₂³	1	4	yes	—
572	#391	C₂³	1	2	yes	—
573	#391	C₂³	1	4	yes	—
574	#391	C₂³	1	4	yes	—
575	#391	C₂³	1	4	yes	—
576	#391	C₂³	1	4	yes	—
577	#391	C₂³	1	4	yes	—
578	#391	C₂³	1	2	yes	—
579	#391	C₂³	1	2	yes	—
580	#391	C₂³	1	2	yes	—
581	#391	C₂³	1	2	yes	—
582	#391	C₂³	1	2	yes	—
583	#391	C₂³	1	2	yes	—
584	#391	C₂³	1	2	yes	—
585	#391	C₂³	1	2	yes	—
586	#391	C₂³	1	2	yes	—
587	#391	C₂³	1	4	yes	—
588	#391	C₂³	1	4	yes	—
589	#391	C₂³	1	2	yes	—
590	#391	C₂³	1	2	yes	—
591	#391	C₂³	1	2	yes	—
592	#391	C₂³	1	2	yes	—
593	#391	C₂³	1	2	yes	—
594	#391	C₂³	1	2	yes	—
595	#391	C₂³	1	4	yes	—
596	#391	C₂³	1	4	yes	—
597	#389	C₂³	1	2	yes	—
598	#389	C₂³	1	2	yes	—
599	#389	C₂³	1	2	yes	—
600	#389	C₂³	1	2	yes	—
601	#389	C₂³	1	2	yes	—
602	#389	C₂³	1	2	yes	—
603	#389	C₂³	1	2	yes	—
604	#389	C₂³	1	2	yes	—
605	#389	C₂³	1	2	yes	—
606	#389	C₂³	1	2	yes	—
607	#389	C₂³	1	2	yes	—
608	#389	C₂³	1	2	yes	—
609	#389	C₂³	1	2	yes	—
610	#389	C₂³	1	2	yes	—
611	#389	C₂³	1	2	yes	—
612	#389	C₂³	1	2	yes	—
613	#389	C₂³	1	2	yes	—
614	#389	C₂³	1	2	yes	—
615	#389	C₂³	1	2	yes	—
616	#389	C₂³	1	2	yes	—
617	#389	C₂³	1	2	yes	—
618	#389	C₂³	1	2	yes	—
619	#389	C₂³	1	2	yes	—
620	#389	C₂³	1	2	yes	—
621	#389	C₂³	1	2	yes	—
622	#389	C₂³	1	2	yes	—
623	#389	C₂³	1	4	yes	—
624	#389	C₂³	1	4	yes	—
625	#389	C₂³	1	4	yes	—
626	#389	C₂³	1	2	yes	—
627	#389	C₂³	1	2	yes	—
628	#389	C₂³	1	2	yes	—
629	#389	C₂³	1	2	yes	—
630	#389	C₂³	1	4	yes	—
631	#389	C₂³	1	2	yes	—
632	#389	C₂³	1	2	yes	—
633	#389	C₂³	1	4	yes	—
634	#389	C₂³	1	4	yes	—
635	#389	C₂³	1	4	yes	—
636	#389	C₂³	1	4	yes	—
637	#389	C₂³	1	2	yes	—
638	#389	C₂³	1	2	yes	—
639	#389	C₂³	1	2	yes	—
640	#389	C₂³	1	2	yes	—
641	#389	C₂³	1	4	yes	—
642	#389	C₂³	1	4	yes	—
643	#389	C₂³	1	4	yes	—
644	#389	C₂³	1	4	yes	—
645	#389	C₂³	1	4	yes	—
646	#389	C₂³	1	4	yes	—
647	#389	C₂³	1	2	yes	—
648	#389	C₂³	1	2	yes	—
649	#389	C₂³	1	2	yes	—
650	#389	C₂³	1	2	yes	—
651	#389	C₂³	1	2	yes	—
652	#389	C₂³	1	2	yes	—
653	#389	C₂³	1	2	yes	—
654	#389	C₂³	1	4	yes	—
655	#389	C₂³	1	4	yes	—
656	#389	C₂³	1	4	yes	—
657	#389	C₂³	1	4	yes	—
658	#389	C₂³	1	4	yes	—
659	#389	C₂³	1	2	yes	—
660	#389	C₂³	1	2	yes	—
661	#389	C₂³	1	2	yes	—
662	#389	C₂³	1	2	yes	—
663	#389	C₂³	1	4	yes	—
664	#389	C₂³	1	4	yes	—
665	#389	C₂³	1	2	yes	—
666	#389	C₂³	1	2	yes	—
667	#389	C₂³	1	4	yes	—
668	#389	C₂³	1	4	yes	—
669	#389	C₂³	1	2	yes	—
670	#389	C₂³	1	2	yes	—
671	#389	C₂³	1	2	yes	—
672	#389	C₂³	1	4	yes	—
673	#389	C₂³	1	4	yes	—
674	#389	C₂³	1	4	yes	—
675	#388	C₂³	1	4	yes	—
676	#388	C₂³	1	4	yes	—
677	#388	C₂³	1	4	yes	—
678	#388	C₂³	1	4	yes	—
679	#388	C₂³	1	4	yes	—
680	#388	C₂³	1	4	yes	—
681	#388	C₂³	1	4	yes	—
682	#388	C₂³	1	4	yes	—
683	#388	C₂³	1	4	yes	—
684	#388	C₂³	1	4	yes	—
685	#387	C₂³	1	4	yes	—
686	#387	C₂³	1	4	yes	—
687	#387	C₂³	1	4	yes	—
688	#387	C₂³	1	4	yes	—
689	#387	C₂³	1	4	yes	—
690	#387	C₂³	1	4	yes	—
691	#387	C₂³	1	4	yes	—
692	#387	C₂³	1	4	yes	—
693	#387	C₂³	1	4	yes	—
694	#387	C₂³	1	4	yes	—
695	#387	C₂³	1	4	yes	—
696	#387	C₂³	1	4	yes	—
697	#387	C₂³	1	4	yes	—
698	#387	C₂³	1	4	yes	—
699	#387	C₂³	1	4	yes	—
700	#387	C₂³	1	4	yes	—
701	#387	C₂³	1	4	yes	—
702	#387	C₂³	1	4	yes	—
703	#387	C₂³	1	4	yes	—
704	#387	C₂³	1	4	yes	—
705	#387	C₂³	1	4	yes	—
706	#387	C₂³	1	4	yes	—
707	#387	C₂³	1	4	yes	—
708	#387	C₂³	1	4	yes	—
709	#387	C₂³	1	4	yes	—
710	#387	C₂³	1	4	yes	—
711	#387	C₂³	1	4	yes	—
712	#387	C₂³	1	4	yes	—
713	#387	C₂³	1	4	yes	—
714	#387	C₂³	1	4	yes	—
715	#387	C₂³	1	4	yes	—
716	#387	C₂³	1	4	yes	—
717	#387	C₂³	1	4	yes	—
718	#387	C₂³	1	4	yes	—
719	#387	C₂³	1	4	yes	—
720	#387	C₂³	1	4	yes	—
721	#387	C₂³	1	4	yes	—
722	#387	C₂³	1	4	yes	—
723	#387	C₂³	1	4	yes	—
724	#387	C₂³	1	4	yes	—
725	#387	C₂³	1	4	yes	—
726	#387	C₂³	1	4	yes	—
727	#387	C₂³	1	4	yes	—
728	#387	C₂³	1	4	yes	—
729	#387	C₂³	1	4	yes	—
730	#387	C₂³	1	4	yes	—
731	#387	C₂³	1	4	yes	—
732	#387	C₂³	1	4	yes	—
733	#387	C₂³	1	4	yes	—
734	#387	C₂³	1	4	yes	—
735	#387	C₂³	1	4	yes	—
736	#387	C₂³	1	4	yes	—
737	#387	C₂³	1	4	yes	—
738	#387	C₂³	1	4	yes	—
739	#384	C₂³	1	1	yes	characteristic
740	#384	C₂³	1	1	yes	characteristic
741	#384	C₂³	1	1	yes	characteristic
742	#384	C₂³	1	1	yes	characteristic
743	#384	C₂³	1	2	yes	—
744	#384	C₂³	1	4	yes	—
745	#384	C₂³	1	2	yes	—
746	#384	C₂³	1	2	yes	—
747	#384	C₂³	1	2	yes	—
748	#384	C₂³	1	2	yes	—
749	#384	C₂³	1	2	yes	—
750	#384	C₂³	1	2	yes	—
751	#384	C₂³	1	2	yes	—
752	#384	C₂³	1	2	yes	—
753	#384	C₂³	1	2	yes	—
754	#384	C₂³	1	2	yes	—
755	#384	C₂³	1	2	yes	—
756	#384	C₂³	1	2	yes	—
757	#384	C₂³	1	2	yes	—
758	#384	C₂³	1	2	yes	—
759	#383	C₂³	1	4	yes	—
760	#383	C₂³	1	4	yes	—
761	#382	C₂³	1	2	yes	—
762	#382	C₂³	1	2	yes	—
763	#382	C₂³	1	4	yes	—
764	#382	C₂³	1	4	yes	—
765	#382	C₂³	1	4	yes	—
766	#382	C₂³	1	4	yes	—
767	#382	C₂³	1	2	yes	—
768	#382	C₂³	1	2	yes	—
769	#382	C₂³	1	2	yes	—
770	#382	C₂³	1	2	yes	—
771	#382	C₂³	1	2	yes	—
772	#382	C₂³	1	2	yes	—
773	#382	C₂³	1	2	yes	—
774	#382	C₂³	1	2	yes	—
775	#382	C₂³	1	4	yes	—
776	#382	C₂³	1	4	yes	—
777	#382	C₂³	1	2	yes	—
778	#382	C₂³	1	4	yes	—
779	#380	C₂³	1	2	yes	—
780	#380	C₂³	1	2	yes	—
781	#380	C₂³	1	2	yes	—
782	#380	C₂³	1	2	yes	—
783	#380	C₂³	1	2	yes	—
784	#380	C₂³	1	2	yes	—
785	#380	C₂³	1	2	yes	—
786	#380	C₂³	1	2	yes	—
787	C₄×C₄⋊C₄	C₂³	1	2	yes	—
788	C₄×C₄⋊C₄	C₂³	1	2	yes	—
789	C₄×C₄⋊C₄	C₂³	1	2	yes	—
790	C₄×C₄⋊C₄	C₂³	1	2	yes	—
791	C₄×C₄⋊C₄	C₂³	1	2	yes	—
792	C₄×C₄⋊C₄	C₂³	1	2	yes	—
793	C₄×C₄⋊C₄	C₂³	1	2	yes	—
794	C₄×C₄⋊C₄	C₂³	1	2	yes	—
795	C₄×C₄⋊C₄	C₂³	1	2	yes	—
796	C₄×C₄⋊C₄	C₂³	1	2	yes	—
797	C₄×C₄⋊C₄	C₂³	1	2	yes	—
798	C₄×C₄⋊C₄	C₂³	1	2	yes	—
799	C₄×C₄⋊C₄	C₂³	1	2	yes	—
800	C₄×C₄⋊C₄	C₂³	1	2	yes	—
801	C₄×C₄⋊C₄	C₂³	1	2	yes	—
802	C₄×C₄⋊C₄	C₂³	1	2	yes	—
803	C₄×C₄⋊C₄	C₂³	1	2	yes	—
804	C₄×C₄⋊C₄	C₂³	1	2	yes	—
805	C₄×C₄⋊C₄	C₂³	1	2	yes	—
806	C₄×C₄⋊C₄	C₂³	1	2	yes	—
807	C₄×C₄⋊C₄	C₂³	1	2	yes	—
808	C₄×C₄⋊C₄	C₂³	1	2	yes	—
809	C₄×C₄⋊C₄	C₂³	1	2	yes	—
810	C₄×C₄⋊C₄	C₂³	1	2	yes	—
811	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
812	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
813	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
814	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
815	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
816	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
817	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
818	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
819	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
820	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
821	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
822	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
823	C₄×C₄⋊C₄	C₂³	1	4	yes	—
824	C₄×C₄⋊C₄	C₂³	1	4	yes	—
825	C₄×C₄⋊C₄	C₂³	1	4	yes	—
826	C₄×C₄⋊C₄	C₂³	1	4	yes	—
827	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
828	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
829	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
830	C₄×C₄⋊C₄	C₂³	1	4	yes	—
831	C₄×C₄⋊C₄	C₂³	1	4	yes	—
832	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
833	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
834	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
835	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
836	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
837	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
838	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
839	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
840	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
841	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
842	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
843	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
844	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
845	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
846	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
847	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
848	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
849	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
850	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
851	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
852	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
853	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
854	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
855	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
856	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
857	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
858	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
859	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
860	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
861	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
862	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
863	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
864	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
865	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
866	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
867	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
868	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
869	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
870	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
871	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
872	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
873	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
874	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
875	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
876	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
877	#376	C₂³	1	1	yes	characteristic
878	#376	C₂³	1	1	yes	characteristic
879	#376	C₂³	1	1	yes	characteristic
880	#376	C₂³	1	1	yes	characteristic
881	#376	C₂³	1	1	yes	characteristic
882	#376	C₂³	1	1	yes	characteristic
883	C₄³	C₂³	1	1	yes	characteristic
884	C₄³	C₂³	1	1	yes	characteristic
885	C₄³	C₂³	1	1	yes	characteristic
886	C₄³	C₂³	1	1	yes	characteristic
887	C₄³	C₂³	1	1	yes	characteristic
888	C₄³	C₂³	1	1	yes	characteristic
889	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
890	C₂²×Q₈	C₂⁴	1	2	yes	—
891	C₂²×Q₈	C₂⁴	1	2	yes	—
892	C₂²×Q₈	C₂⁴	1	2	yes	—
893	C₂²×Q₈	C₂⁴	1	2	yes	—
894	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
895	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
896	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
897	C₂²×Q₈	C₂⁴	1	4	yes	—
898	C₂³×C₄	C₂⁴	1	1	yes	characteristic
899	C₂³×C₄	C₂⁴	1	1	yes	characteristic
900	C₂³×C₄	C₂⁴	1	1	yes	characteristic
901	C₄⋊Q₈	—	2	8	no	—
902	C₄⋊Q₈	—	2	4	no	—
903	C₄⋊Q₈	—	2	4	no	—
904	C₄⋊Q₈	—	2	4	no	—
905	C₄⋊Q₈	—	2	4	no	—
906	C₄⋊Q₈	—	2	8	no	—
907	C₄⋊Q₈	—	4	4	no	—
908	C₄⋊Q₈	—	4	4	no	—
909	C₄⋊Q₈	—	4	4	no	—
910	C₄⋊Q₈	—	4	4	no	—
911	C₄⋊Q₈	—	4	4	no	—
912	C₄⋊Q₈	—	4	4	no	—
913	C₄⋊Q₈	—	4	4	no	—
914	C₄⋊Q₈	—	4	8	no	—
915	#126	—	4	8	no	—
916	#126	—	4	8	no	—
917	#125	—	2	8	no	—
918	#125	—	2	8	no	—
919	#125	—	4	4	no	—
920	#125	—	4	4	no	—
921	#125	—	4	4	no	—
922	#125	—	4	8	no	—
923	#125	—	4	8	no	—
924	#125	—	4	8	no	—
925	#125	—	4	8	no	—
926	#125	—	4	8	no	—
927	#125	—	4	8	no	—
928	#125	—	4	8	no	—
929	C₂²⋊Q₈	—	4	4	no	—
930	C₂²⋊Q₈	—	4	4	no	—
931	C₂²⋊Q₈	—	4	4	no	—
932	C₂²⋊Q₈	—	4	4	no	—
933	C₄×Q₈	—	2	8	no	—
934	C₄×Q₈	—	2	4	no	—
935	C₄×Q₈	—	2	4	no	—
936	C₄×Q₈	—	2	4	no	—
937	C₄×Q₈	—	2	8	no	—
938	C₄×Q₈	—	2	4	no	—
939	C₄×Q₈	—	2	4	no	—
940	C₄×Q₈	—	2	4	no	—
941	C₄×Q₈	—	2	4	no	—
942	C₄×Q₈	—	2	4	no	—
943	C₄×Q₈	—	4	2	no	—
944	C₄×Q₈	—	4	2	no	—
945	C₄×Q₈	—	4	2	no	—
946	C₄×Q₈	—	4	2	no	—
947	C₄×Q₈	—	4	8	no	—
948	C₄×Q₈	—	4	4	no	—
949	C₄×Q₈	—	4	4	no	—
950	C₄×Q₈	—	4	4	no	—
951	C₄×Q₈	—	4	4	no	—
952	C₄×Q₈	—	4	4	no	—
953	C₄×Q₈	—	4	4	no	—
954	C₄×Q₈	—	4	4	no	—
955	C₄×Q₈	—	4	8	no	—
956	C₄×Q₈	—	4	4	no	—
957	C₄×Q₈	—	4	4	no	—
958	C₄×Q₈	—	4	4	no	—
959	#117	—	2	4	no	—
960	#117	—	2	4	no	—
961	#117	—	2	4	no	—
962	#117	—	2	4	no	—
963	#117	—	4	2	no	—
964	#117	—	4	2	no	—
965	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
966	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
967	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
968	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
969	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
970	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
971	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
972	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
973	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
974	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
975	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
976	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
977	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
978	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
979	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
980	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
981	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
982	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
983	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
984	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
985	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
986	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
987	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
988	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
989	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
990	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
991	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
992	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
993	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
994	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
995	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
996	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
997	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
998	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
999	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1000	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1001	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1002	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1003	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1004	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1005	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1006	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1007	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1008	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1009	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1010	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1011	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1012	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1013	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1014	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1015	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1016	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1017	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1018	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1019	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1020	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1021	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1022	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1023	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1024	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1025	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1026	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1027	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1028	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1029	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1030	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1031	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1032	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1033	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1034	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1035	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1036	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1037	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1038	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1039	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1040	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1041	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1042	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1043	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1044	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1045	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1046	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1047	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1048	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1049	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1050	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1051	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1052	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1053	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1054	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1055	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1056	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1057	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1058	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1059	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1060	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1061	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1062	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1063	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1064	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1065	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1066	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1067	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1068	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1069	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1070	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1071	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1072	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1073	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1074	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1075	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1076	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1077	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1078	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1079	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1080	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1081	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1082	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1083	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1084	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1085	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1086	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1087	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1088	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1089	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1090	C₂×C₄²	—	2	4	no	—
1091	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1092	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1093	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1094	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1095	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1096	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1097	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1098	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1099	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1100	C₂×C₄²	C₂⁴	1	4	yes	—
1101	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1102	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1103	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1104	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1105	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1106	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1107	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1108	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1109	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1110	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1111	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1112	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1113	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1114	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1115	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1116	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1117	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1118	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1119	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1120	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1121	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1122	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1123	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1124	C₂×C₄²	C₂⁴	1	4	yes	—
1125	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1126	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1127	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1128	C₂×C₄²	C₂⁴	1	4	yes	—
1129	C₂×C₄²	C₂⁴	1	4	yes	—
1130	C₂×C₄²	C₂⁴	1	4	yes	—
1131	C₂×C₄²	C₂⁴	1	4	yes	—
1132	C₂×C₄²	C₂⁴	1	4	yes	—
1133	C₂×C₄²	C₂⁴	1	4	yes	—
1134	C₂×C₄²	C₂⁴	1	4	yes	—
1135	C₂×C₄²	C₂⁴	1	4	yes	—
1136	C₂×C₄²	C₂⁴	1	4	yes	—
1137	C₂×C₄²	C₂⁴	1	4	yes	—
1138	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1139	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1140	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1141	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1142	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1143	#95	C₂⁴	1	1	yes	characteristic
1144	#95	C₂⁴	1	1	yes	characteristic
1145	#95	C₂⁴	1	1	yes	characteristic
1146	#95	C₂⁴	1	1	yes	characteristic
1147	#95	C₂⁴	1	1	yes	characteristic
1148	#95	C₂⁴	1	1	yes	characteristic
1149	#95	C₂⁴	1	1	yes	characteristic
1150	#95	C₂⁴	1	1	yes	characteristic
1151	#95	C₂⁴	1	1	yes	characteristic
1152	#95	C₂⁴	1	1	yes	characteristic
1153	#95	C₂⁴	1	1	yes	characteristic
1154	#95	C₂⁴	1	1	yes	characteristic
1155	#95	C₂⁴	1	1	yes	characteristic
1156	#95	C₂⁴	1	1	yes	characteristic
1157	#95	C₂⁴	1	1	yes	characteristic
1158	#95	C₂⁴	1	1	yes	characteristic
1159	#95	C₂⁴	1	1	yes	characteristic
1160	#95	C₂⁴	1	1	yes	characteristic
1161	#95	C₂⁴	1	1	yes	characteristic
1162	#95	C₂⁴	1	1	yes	characteristic
1163	#95	C₂⁴	1	1	yes	characteristic
1164	#95	C₂⁴	1	1	yes	characteristic
1165	#95	C₂⁴	1	1	yes	characteristic
1166	#95	C₂⁴	1	1	yes	characteristic
1167	#95	C₂⁴	1	1	yes	characteristic
1168	#95	C₂⁴	1	1	yes	characteristic
1169	#95	C₂⁴	1	1	yes	characteristic
1170	#95	C₂⁴	1	1	yes	characteristic
1171	#95	C₂⁴	1	1	yes	characteristic
1172	#95	C₂⁴	1	1	yes	characteristic
1173	#95	C₂⁴	1	1	yes	characteristic
1174	#95	C₂⁴	1	1	yes	characteristic
1175	#95	C₂⁴	1	1	yes	characteristic
1176	#95	C₂⁴	1	1	yes	characteristic
1177	#95	C₂⁴	1	1	yes	characteristic
1178	#95	C₂⁴	1	1	yes	characteristic
1179	#95	C₂⁴	1	1	yes	characteristic
1180	#95	C₂⁴	1	1	yes	characteristic
1181	#95	C₂⁴	1	1	yes	characteristic
1182	#95	C₂⁴	1	1	yes	characteristic
1183	#95	C₂⁴	1	1	yes	characteristic
1184	#95	C₂⁴	1	1	yes	characteristic
1185	#95	C₂⁴	1	1	yes	characteristic
1186	#95	C₂⁴	1	1	yes	characteristic
1187	#95	C₂⁴	1	1	yes	characteristic
1188	#95	C₂⁴	1	1	yes	characteristic
1189	#95	C₂⁴	1	1	yes	characteristic
1190	#95	C₂⁴	1	1	yes	characteristic
1191	#95	C₂⁴	1	4	yes	—
1192	#95	C₂⁴	1	4	yes	—
1193	#95	C₂⁴	1	4	yes	—
1194	#95	C₂⁴	1	4	yes	—
1195	#95	C₂⁴	1	4	yes	—
1196	#95	C₂⁴	1	4	yes	—
1197	#95	C₂⁴	1	4	yes	—
1198	#95	C₂⁴	1	4	yes	—
1199	#95	C₂⁴	1	4	yes	—
1200	#95	C₂⁴	1	4	yes	—
1201	#95	C₂⁴	1	4	yes	—
1202	#95	C₂⁴	1	4	yes	—
1203	#95	C₂⁴	1	4	yes	—
1204	#95	C₂⁴	1	4	yes	—
1205	#95	C₂⁴	1	4	yes	—
1206	#95	C₂⁴	1	4	yes	—
1207	#95	C₂⁴	1	4	yes	—
1208	#95	C₂⁴	1	4	yes	—
1209	#95	C₂⁴	1	4	yes	—
1210	#95	C₂⁴	1	4	yes	—
1211	#95	C₂⁴	1	4	yes	—
1212	#95	C₂⁴	1	4	yes	—
1213	#95	C₂⁴	1	4	yes	—
1214	#95	C₂⁴	1	4	yes	—
1215	#95	C₂⁴	1	4	yes	—
1216	#95	C₂⁴	1	4	yes	—
1217	#95	C₂⁴	1	4	yes	—
1218	#95	C₂⁴	1	4	yes	—
1219	#95	C₂⁴	1	4	yes	—
1220	#95	C₂⁴	1	4	yes	—
1221	#95	C₂⁴	1	4	yes	—
1222	#95	C₂⁴	1	4	yes	—
1223	#95	C₂⁴	1	4	yes	—
1224	#95	C₂⁴	1	4	yes	—
1225	#95	C₂⁴	1	4	yes	—
1226	#95	C₂⁴	1	4	yes	—
1227	#95	C₂⁴	1	4	yes	—
1228	#95	C₂⁴	1	4	yes	—
1229	#95	C₂⁴	1	4	yes	—
1230	#95	C₂⁴	1	4	yes	—
1231	#95	C₂⁴	1	4	yes	—
1232	#95	C₂⁴	1	4	yes	—
1233	#95	C₂⁴	1	4	yes	—
1234	#95	C₂⁴	1	4	yes	—
1235	#95	C₂⁴	1	4	yes	—
1236	#95	C₂⁴	1	4	yes	—
1237	#95	C₂⁴	1	4	yes	—
1238	#95	C₂⁴	1	4	yes	—
1239	#95	C₂⁴	1	4	yes	—
1240	#95	C₂⁴	1	4	yes	—
1241	#95	C₂⁴	1	4	yes	—
1242	#95	C₂⁴	1	4	yes	—
1243	#95	C₂⁴	1	4	yes	—
1244	#95	C₂⁴	1	4	yes	—
1245	C₂⁴	C₂⁵	1	1	yes	characteristic
1246	C₂×Q₈	—	2	2	no	—
1247	C₂×Q₈	—	2	4	no	—
1248	C₂×Q₈	—	2	2	no	—
1249	C₂×Q₈	—	2	4	no	—
1250	C₂×Q₈	—	2	4	no	—
1251	C₂×Q₈	—	2	2	no	—
1252	C₂×Q₈	—	2	2	no	—
1253	C₂×Q₈	—	2	2	no	—
1254	C₂×Q₈	—	2	2	no	—
1255	C₂×Q₈	—	2	2	no	—
1256	C₂×Q₈	—	2	2	no	—
1257	C₂×Q₈	—	2	4	no	—
1258	C₂×Q₈	—	2	4	no	—
1259	C₂×Q₈	—	2	4	no	—
1260	C₂×Q₈	—	2	4	no	—
1261	C₂×Q₈	—	2	4	no	—
1262	C₂×Q₈	—	2	8	no	—
1263	C₂×Q₈	—	2	4	no	—
1264	C₂×Q₈	—	2	4	no	—
1265	C₂×Q₈	—	2	4	no	—
1266	C₂×Q₈	—	2	4	no	—
1267	C₂×Q₈	—	4	1	no	—
1268	C₂×Q₈	—	4	1	no	—
1269	C₂×Q₈	—	4	1	no	—
1270	C₂×Q₈	—	4	1	no	—
1271	C₂×Q₈	—	4	4	no	—
1272	C₂×Q₈	—	4	4	no	—
1273	C₂²×C₄	—	2	2	no	—
1274	C₂²×C₄	—	2	2	no	—
1275	C₂²×C₄	—	2	2	no	—
1276	C₂²×C₄	—	2	2	no	—
1277	C₂²×C₄	—	2	2	no	—
1278	C₂²×C₄	—	2	2	no	—
1279	C₂²×C₄	—	2	2	no	—
1280	C₂²×C₄	—	2	2	no	—
1281	C₂²×C₄	—	2	2	no	—
1282	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1283	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1284	C₂²×C₄	C₂⁵	1	4	yes	—
1285	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1286	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1287	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1288	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1289	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1290	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1291	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1292	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1293	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1294	C₂²×C₄	C₂⁵	1	4	yes	—
1295	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1296	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1297	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1298	C₂²×C₄	C₂⁵	1	4	yes	—
1299	C₂²×C₄	C₂⁵	1	4	yes	—
1300	C₂²×C₄	C₂⁵	1	4	yes	—
1301	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1302	C₂²×C₄	C₂⁵	1	4	yes	—
1303	C₂²×C₄	C₂⁵	1	4	yes	—
1304	C₂²×C₄	C₂⁵	1	4	yes	—
1305	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1306	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1307	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1308	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1309	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1310	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1311	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1312	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1313	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1314	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1315	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1316	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1317	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1318	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1319	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1320	C₄⋊C₄	—	2	2	no	—
1321	C₄⋊C₄	—	2	2	no	—
1322	C₄⋊C₄	—	2	2	no	—
1323	C₄⋊C₄	—	2	4	no	—
1324	C₄⋊C₄	—	2	2	no	—
1325	C₄⋊C₄	—	2	2	no	—
1326	C₄⋊C₄	—	2	2	no	—
1327	C₄⋊C₄	—	2	2	no	—
1328	C₄⋊C₄	—	2	2	no	—
1329	C₄⋊C₄	—	2	8	no	—
1330	C₄⋊C₄	—	2	4	no	—
1331	C₄⋊C₄	—	2	4	no	—
1332	C₄⋊C₄	—	2	8	no	—
1333	C₄⋊C₄	—	2	8	no	—
1334	C₄⋊C₄	—	2	8	no	—
1335	C₄⋊C₄	—	2	8	no	—
1336	C₄⋊C₄	—	2	2	no	—
1337	C₄⋊C₄	—	2	2	no	—
1338	C₄⋊C₄	—	2	2	no	—
1339	C₄⋊C₄	—	2	2	no	—
1340	C₄⋊C₄	—	2	2	no	—
1341	C₄⋊C₄	—	2	2	no	—
1342	C₄⋊C₄	—	2	2	no	—
1343	C₄⋊C₄	—	2	2	no	—
1344	C₄⋊C₄	—	2	2	no	—
1345	C₄⋊C₄	—	2	2	no	—
1346	C₄⋊C₄	—	2	2	no	—
1347	C₄⋊C₄	—	2	2	no	—
1348	C₄⋊C₄	—	2	2	no	—
1349	C₄⋊C₄	—	2	2	no	—
1350	C₄⋊C₄	—	2	2	no	—
1351	C₄⋊C₄	—	2	2	no	—
1352	C₄⋊C₄	—	2	2	no	—
1353	C₄⋊C₄	—	2	2	no	—
1354	C₄⋊C₄	—	2	2	no	—
1355	C₄⋊C₄	—	2	4	no	—
1356	C₄⋊C₄	—	2	2	no	—
1357	C₄⋊C₄	—	2	2	no	—
1358	C₄⋊C₄	—	2	2	no	—
1359	C₄⋊C₄	—	2	2	no	—
1360	C₄⋊C₄	—	2	8	no	—
1361	C₄⋊C₄	—	2	2	no	—
1362	C₄⋊C₄	—	2	8	no	—
1363	C₄⋊C₄	—	2	8	no	—
1364	C₄⋊C₄	—	2	4	no	—
1365	C₄⋊C₄	—	2	4	no	—
1366	C₄⋊C₄	—	2	8	no	—
1367	C₄⋊C₄	—	2	4	no	—
1368	C₄⋊C₄	—	2	4	no	—
1369	C₄⋊C₄	—	2	4	no	—
1370	C₄⋊C₄	—	2	4	no	—
1371	C₄⋊C₄	—	2	4	no	—
1372	C₄⋊C₄	—	2	4	no	—
1373	C₄⋊C₄	—	2	4	no	—
1374	C₄⋊C₄	—	2	4	no	—
1375	C₄⋊C₄	—	2	4	no	—
1376	C₄⋊C₄	—	2	4	no	—
1377	C₄⋊C₄	—	2	4	no	—
1378	C₄⋊C₄	—	2	4	no	—
1379	C₄⋊C₄	—	2	4	no	—
1380	C₄⋊C₄	—	2	4	no	—
1381	C₄⋊C₄	—	4	1	no	—
1382	C₄⋊C₄	—	4	1	no	—
1383	C₄⋊C₄	—	4	1	no	—
1384	C₄⋊C₄	—	4	1	no	—
1385	C₄⋊C₄	—	4	1	no	—
1386	C₄⋊C₄	—	4	1	no	—
1387	C₄⋊C₄	—	4	1	no	—
1388	C₄⋊C₄	—	4	1	no	—
1389	C₄⋊C₄	—	4	1	no	—
1390	C₄⋊C₄	—	4	1	no	—
1391	C₄⋊C₄	—	4	1	no	—
1392	C₄⋊C₄	—	4	1	no	—
1393	C₄⋊C₄	—	4	1	no	—
1394	C₄⋊C₄	—	4	1	no	—
1395	C₄⋊C₄	—	4	1	no	—
1396	C₄⋊C₄	—	4	1	no	—
1397	C₄⋊C₄	—	4	4	no	—
1398	C₄⋊C₄	—	4	4	no	—
1399	C₄⋊C₄	—	4	4	no	—
1400	C₄⋊C₄	—	4	4	no	—
1401	C₄⋊C₄	—	4	4	no	—
1402	C₄⋊C₄	—	4	4	no	—
1403	C₄⋊C₄	—	4	4	no	—
1404	C₄⋊C₄	—	4	4	no	—
1405	C₄⋊C₄	—	4	4	no	—
1406	C₄⋊C₄	—	4	4	no	—
1407	C₄⋊C₄	—	4	4	no	—
1408	C₄⋊C₄	—	4	4	no	—
1409	C₄⋊C₄	—	4	4	no	—
1410	C₄⋊C₄	—	4	4	no	—
1411	C₄⋊C₄	—	4	4	no	—
1412	C₄⋊C₄	—	4	4	no	—
1413	C₄⋊C₄	—	4	4	no	—
1414	C₄⋊C₄	—	4	4	no	—
1415	C₄⋊C₄	—	4	4	no	—
1416	C₄⋊C₄	—	4	4	no	—
1417	C₄⋊C₄	—	4	4	no	—
1418	C₄⋊C₄	—	4	4	no	—
1419	C₄⋊C₄	—	4	4	no	—
1420	C₄⋊C₄	—	4	4	no	—
1421	C₄⋊C₄	—	4	4	no	—
1422	C₄⋊C₄	—	4	4	no	—
1423	C₄⋊C₄	—	4	4	no	—
1424	C₄⋊C₄	—	4	4	no	—
1425	C₄⋊C₄	—	4	4	no	—
1426	C₄⋊C₄	—	4	4	no	—
1427	C₄⋊C₄	—	4	4	no	—
1428	C₄⋊C₄	—	4	4	no	—
1429	C₂²⋊C₄	—	2	2	no	—
1430	C₂²⋊C₄	—	2	2	no	—
1431	C₂²⋊C₄	—	2	2	no	—
1432	C₂²⋊C₄	—	2	2	no	—
1433	C₂²⋊C₄	—	2	2	no	—
1434	C₂²⋊C₄	—	2	2	no	—
1435	C₂²⋊C₄	—	2	2	no	—
1436	C₂²⋊C₄	—	2	2	no	—
1437	C₂²⋊C₄	—	4	1	no	—
1438	C₂²⋊C₄	—	4	1	no	—
1439	C₂²⋊C₄	—	4	1	no	—
1440	C₂²⋊C₄	—	4	1	no	—
1441	C₂²⋊C₄	—	4	4	no	—
1442	C₂²⋊C₄	—	4	4	no	—
1443	C₂²⋊C₄	—	4	4	no	—
1444	C₂²⋊C₄	—	4	4	no	—
1445	C₄²	—	2	2	no	—
1446	C₄²	—	2	2	no	—
1447	C₄²	—	2	8	no	—
1448	C₄²	—	2	2	no	—
1449	C₄²	—	2	2	no	—
1450	C₄²	—	2	2	no	—
1451	C₄²	—	2	2	no	—
1452	C₄²	—	2	2	no	—
1453	C₄²	—	2	2	no	—
1454	C₄²	—	2	2	no	—
1455	C₄²	—	2	2	no	—
1456	C₄²	—	2	2	no	—
1457	C₄²	—	2	2	no	—
1458	C₄²	—	2	2	no	—
1459	C₄²	—	2	2	no	—
1460	C₄²	—	2	2	no	—
1461	C₄²	—	2	2	no	—
1462	C₄²	—	2	2	no	—
1463	C₄²	—	2	2	no	—
1464	C₄²	—	2	8	no	—
1465	C₄²	—	2	2	no	—
1466	C₄²	—	2	2	no	—
1467	C₄²	—	2	2	no	—
1468	C₄²	—	2	2	no	—
1469	C₄²	—	2	2	no	—
1470	C₄²	—	2	2	no	—
1471	C₄²	—	2	2	no	—
1472	C₄²	—	2	2	no	—
1473	C₄²	—	2	2	no	—
1474	C₄²	—	2	2	no	—
1475	C₄²	—	2	2	no	—
1476	C₄²	—	2	2	no	—
1477	C₄²	—	2	2	no	—
1478	C₄²	—	2	2	no	—
1479	C₄²	—	2	2	no	—
1480	C₄²	—	2	2	no	—
1481	C₄²	—	2	2	no	—
1482	C₄²	—	4	4	no	—
1483	C₄²	—	4	4	no	—
1484	C₄²	—	4	4	no	—
1485	C₄²	—	4	4	no	—
1486	C₄²	—	4	4	no	—
1487	C₄²	—	4	4	no	—
1488	C₄²	—	4	4	no	—
1489	C₄²	—	4	4	no	—
1490	C₄²	—	4	4	no	—
1491	C₄²	—	4	4	no	—
1492	C₄²	H(5,𝔽₂)	1	4	yes	—
1493	C₄²	2₋¹⁺⁴	1	4	yes	—
1494	C₄²	2₋¹⁺⁴	1	4	yes	—
1495	C₄²	2₋¹⁺⁴	1	4	yes	—
1496	C₄²	2₋¹⁺⁴	1	4	yes	—
1497	C₂³	—	2	1	no	—
1498	C₂³	—	2	1	no	—
1499	C₂³	—	2	1	no	—
1500	C₂³	—	2	1	no	—
1501	C₂³	—	2	1	no	—
1502	C₂³	—	2	1	no	—
1503	C₂³	—	2	1	no	—
1504	C₂³	C₂⁶	1	1	yes	characteristic
1505	Q₈	—	2	8	no	—
1506	Q₈	—	4	4	no	—
1507	Q₈	—	4	4	no	—
1508	Q₈	—	4	4	no	—
1509	Q₈	—	4	8	no	—
1510	Q₈	—	4	8	no	—
1511	Q₈	—	4	8	no	—
1512	Q₈	—	4	8	no	—
1513	Q₈	—	8	8	no	—
1514	C₂×C₄	—	2	1	no	—
1515	C₂×C₄	—	2	1	no	—
1516	C₂×C₄	—	2	1	no	—
1517	C₂×C₄	—	2	1	no	—
1518	C₂×C₄	—	2	1	no	—
1519	C₂×C₄	—	2	1	no	—
1520	C₂×C₄	—	2	1	no	—
1521	C₂×C₄	—	2	1	no	—
1522	C₂×C₄	—	2	1	no	—
1523	C₂×C₄	—	2	1	no	—
1524	C₂×C₄	—	2	1	no	—
1525	C₂×C₄	—	2	1	no	—
1526	C₂×C₄	—	2	1	no	—
1527	C₂×C₄	—	2	1	no	—
1528	C₂×C₄	—	2	1	no	—
1529	C₂×C₄	—	2	1	no	—
1530	C₂×C₄	—	2	1	no	—
1531	C₂×C₄	—	2	1	no	—
1532	C₂×C₄	—	2	1	no	—
1533	C₂×C₄	—	2	4	no	—
1534	C₂×C₄	—	2	4	no	—
1535	C₂×C₄	—	2	1	no	—
1536	C₂×C₄	—	2	1	no	—
1537	C₂×C₄	—	2	1	no	—
1538	C₂×C₄	—	2	1	no	—
1539	C₂×C₄	—	2	4	no	—
1540	C₂×C₄	—	2	4	no	—
1541	C₂×C₄	—	2	4	no	—
1542	C₂×C₄	—	2	4	no	—
1543	C₂×C₄	—	2	1	no	—
1544	C₂×C₄	—	2	1	no	—
1545	C₂×C₄	—	2	1	no	—
1546	C₂×C₄	—	2	1	no	—
1547	C₂×C₄	—	2	1	no	—
1548	C₂×C₄	—	2	1	no	—
1549	C₂×C₄	—	2	1	no	—
1550	C₂×C₄	—	2	1	no	—
1551	C₂×C₄	—	2	1	no	—
1552	C₂×C₄	—	2	1	no	—
1553	C₂×C₄	—	2	1	no	—
1554	C₂×C₄	—	2	1	no	—
1555	C₂×C₄	—	2	4	no	—
1556	C₂×C₄	—	2	1	no	—
1557	C₂×C₄	—	2	1	no	—
1558	C₂×C₄	—	2	1	no	—
1559	C₂×C₄	—	2	1	no	—
1560	C₂×C₄	—	2	1	no	—
1561	C₂×C₄	—	2	1	no	—
1562	C₂×C₄	—	2	1	no	—
1563	C₂×C₄	—	2	1	no	—
1564	C₂×C₄	—	2	1	no	—
1565	C₂×C₄	—	2	1	no	—
1566	C₂×C₄	—	2	4	no	—
1567	C₂×C₄	—	2	1	no	—
1568	C₂×C₄	—	2	1	no	—
1569	C₂×C₄	—	2	1	no	—
1570	C₂×C₄	—	2	1	no	—
1571	C₂×C₄	—	2	1	no	—
1572	C₂×C₄	—	2	4	no	—
1573	C₂×C₄	—	2	4	no	—
1574	C₂×C₄	—	2	1	no	—
1575	C₂×C₄	—	2	1	no	—
1576	C₂×C₄	—	2	1	no	—
1577	C₂×C₄	—	2	4	no	—
1578	C₂×C₄	—	2	4	no	—
1579	C₂×C₄	—	2	4	no	—
1580	C₂×C₄	—	2	4	no	—
1581	C₂×C₄	—	2	4	no	—
1582	C₂×C₄	—	2	4	no	—
1583	C₂×C₄	—	2	1	no	—
1584	C₂×C₄	—	2	1	no	—
1585	C₂×C₄	—	2	1	no	—
1586	C₂×C₄	—	2	1	no	—
1587	C₂×C₄	—	2	1	no	—
1588	C₂×C₄	—	2	1	no	—
1589	C₂×C₄	—	2	1	no	—
1590	C₂×C₄	—	2	1	no	—
1591	C₂×C₄	—	2	1	no	—
1592	C₂×C₄	—	2	1	no	—
1593	C₂×C₄	—	2	1	no	—
1594	C₂×C₄	—	2	1	no	—
1595	C₂×C₄	—	2	1	no	—
1596	C₂×C₄	—	2	1	no	—
1597	C₂×C₄	—	2	1	no	—
1598	C₂×C₄	—	2	1	no	—
1599	C₂×C₄	—	2	1	no	—
1600	C₂×C₄	—	2	1	no	—
1601	C₂×C₄	—	2	4	no	—
1602	C₂×C₄	—	2	4	no	—
1603	C₂×C₄	—	2	4	no	—
1604	C₂×C₄	—	2	4	no	—
1605	C₂×C₄	—	2	4	no	—
1606	C₂×C₄	—	2	4	no	—
1607	C₂×C₄	—	2	4	no	—
1608	C₂×C₄	—	2	4	no	—
1609	C₂×C₄	—	2	1	no	—
1610	C₂×C₄	—	2	1	no	—
1611	C₂×C₄	—	4	4	no	—
1612	C₂×C₄	—	4	4	no	—
1613	C₂×C₄	—	4	4	no	—
1614	C₂×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1615	C₂×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1616	C₂×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1617	C₂×C₄	C₂×2₋¹⁺⁴	1	2	yes	—
1618	C₂×C₄	C₂×2₋¹⁺⁴	1	2	yes	—
1619	C₂×C₄	C₂×2₋¹⁺⁴	1	2	yes	—
1620	C₂×C₄	C₂×2₋¹⁺⁴	1	2	yes	—
1621	C₂×C₄	C₂×2₋¹⁺⁴	1	2	yes	—
1622	C₂×C₄	C₂×2₋¹⁺⁴	1	2	yes	—
1623	C₂×C₄	C₂×2₋¹⁺⁴	1	2	yes	—
1624	C₂×C₄	C₂×2₋¹⁺⁴	1	2	yes	—
1625	C₂×C₄	C₂×2₋¹⁺⁴	1	2	yes	—
1626	C₂×C₄	C₂×2₋¹⁺⁴	1	2	yes	—
1627	C₂×C₄	C₂×2₋¹⁺⁴	1	2	yes	—
1628	C₂×C₄	C₂×2₋¹⁺⁴	1	2	yes	—
1629	C₂×C₄	#585	1	2	yes	—
1630	C₂×C₄	#585	1	2	yes	—
1631	C₂²	—	4	1	no	—
1632	C₂²	—	4	1	no	—
1633	C₂²	—	4	1	no	—
1634	C₂²	—	4	1	no	—
1635	C₂²	—	4	1	no	—
1636	C₂²	—	4	1	no	—
1637	C₂²	—	4	1	no	—
1638	C₂²	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1639	C₂²	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
1640	C₂²	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
1641	C₂²	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
1642	C₂²	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
1643	C₂²	C₂×#585	1	1	yes	characteristic
1644	C₂²	C₂×#585	1	1	yes	characteristic
1645	C₄	—	2	2	no	—
1646	C₄	—	2	2	no	—
1647	C₄	—	2	2	no	—
1648	C₄	—	2	2	no	—
1649	C₄	—	2	2	no	—
1650	C₄	—	2	2	no	—
1651	C₄	—	2	2	no	—
1652	C₄	—	2	2	no	—
1653	C₄	—	4	1	no	—
1654	C₄	—	4	4	no	—
1655	C₄	—	4	4	no	—
1656	C₄	—	4	4	no	—
1657	C₄	—	4	1	no	—
1658	C₄	—	4	4	no	—
1659	C₄	—	4	1	no	—
1660	C₄	—	4	1	no	—
1661	C₄	—	4	1	no	—
1662	C₄	—	4	1	no	—
1663	C₄	—	4	4	no	—
1664	C₄	—	4	1	no	—
1665	C₄	—	4	1	no	—
1666	C₄	—	4	1	no	—
1667	C₄	—	4	1	no	—
1668	C₄	—	4	4	no	—
1669	C₄	—	4	4	no	—
1670	C₄	—	4	1	no	—
1671	C₄	—	4	1	no	—
1672	C₄	—	4	1	no	—
1673	C₄	—	4	1	no	—
1674	C₄	—	4	1	no	—
1675	C₄	—	4	1	no	—
1676	C₄	—	4	1	no	—
1677	C₄	—	4	4	no	—
1678	C₄	—	4	1	no	—
1679	C₄	—	4	1	no	—
1680	C₄	#3554	1	4	yes	—
1681	C₄	#3555	1	4	yes	—
1682	C₄	#3556	1	4	yes	—
1683	C₂	—	8	1	no	—
1684	C₂	C₂×#3554	1	1	yes	characteristic
1685	C₂	C₂×#3555	1	1	yes	characteristic
1686	C₂	C₂×#3556	1	1	yes	characteristic
1687	C₂	#62833	1	1	yes	characteristic
1688	C₂	#62835	1	1	yes	characteristic
1689	C₂	#62837	1	1	yes	characteristic
1690	C₂	#62838	1	1	yes	characteristic

	subgroup	G/H
center, commutator, Frattini, socle, cosocle	C₂³	C₂⁶
prime radical	C₂⁴	C₂⁵
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
3. #53036	C₂	semidirect
5. #52996	C₂	semidirect
7. #45426	C₂	semidirect
8. #45363	C₂	semidirect
13. #42864	C₂	semidirect
14. #42850	C₂	semidirect
15. #42822	C₂	semidirect
16. #42811	C₂	semidirect
17. #42710	C₂	semidirect
18. #42701	C₂	semidirect
21. #42553	C₂	semidirect
22. #42511	C₂	semidirect
25. #36598	C₂	semidirect
26. #36598	C₂	semidirect
27. #36598	C₂	semidirect
28. #36593	C₂	semidirect
29. #36574	C₂	semidirect
30. #36574	C₂	semidirect
31. #36563	C₂	semidirect
32. #36560	C₂	semidirect

Maximal subgroups

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

subgroup	index
#53140	2
#53107	2
#53036	2
#53013	2
#52996	2
#52965	2
#45426	2
#45363	2
#45346	2
#45343	2
#45329	2
#45324	2
#42864	2
#42850	2
#42822	2
#42811	2
#42710	2
#42701	2
#42670	2
#42663	2
#42553	2
#42511	2
#42470	2
#42461	2
#36598	2
#36593	2
#36574	2
#36563	2
#36560	2
#35319	2
#35291	2
#35284	2
#35283	2
#34552	2