Subgroups — #8925011

Order 512.

5020 conjugacy classes of subgroups.

The subgroup lattice has 1496 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#56608	C₂	1	4	yes	maximal, complemented
2	#56319	C₂	1	4	yes	maximal, complemented
3	#55682	C₂	1	4	yes	maximal, complemented
4	#54892	C₂	1	4	yes	maximal, complemented
5	#54050	C₂	1	4	yes	maximal, complemented
6	#53426	C₂	1	4	yes	maximal, complemented
7	#47153	C₂	1	4	yes	maximal, complemented
8	#47038	C₂	1	4	yes	maximal, complemented
9	#46997	C₂	1	1	yes	maximal, characteristic, complemented
10	#46628	C₂	1	4	yes	maximal, complemented
11	#46390	C₂	1	1	yes	maximal, characteristic, complemented
12	#46390	C₂	1	1	yes	maximal, characteristic, complemented
13	#46389	C₂	1	1	yes	maximal, characteristic, complemented
14	#46388	C₂	1	1	yes	maximal, characteristic, complemented
15	#46384	C₂	1	1	yes	maximal, characteristic, complemented
16	#37119	C₂	1	1	yes	maximal, characteristic, complemented
17	#36967	C₂	1	1	yes	maximal, characteristic, complemented
18	#36965	C₂	1	1	yes	maximal, characteristic, complemented
19	#36898	C₂	1	4	yes	maximal, complemented
20	#36886	C₂	1	4	yes	maximal, complemented
21	#36725	C₂	1	4	yes	maximal, complemented
22	#36721	C₂	1	1	yes	maximal, characteristic, complemented
23	#36714	C₂	1	1	yes	maximal, characteristic, complemented
24	#36714	C₂	1	1	yes	maximal, characteristic, complemented
25	#35451	C₂	1	1	yes	maximal, characteristic, complemented
26	#35354	C₂	1	1	yes	maximal, characteristic, complemented
27	#35350	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂×#534	C₂²	1	1	yes	characteristic
29	C₂×#534	C₂²	1	1	yes	characteristic
30	C₂²×#124	C₂²	1	1	yes	characteristic, complemented
31	C₂²×#123	C₂²	1	1	yes	characteristic, complemented
32	C₂²×#120	C₂²	1	1	yes	characteristic
33	C₂×#518	C₂²	1	1	yes	characteristic
34	#2854	C₂²	1	2	yes	complemented
35	#2853	C₂²	1	2	yes	complemented
36	#2849	C₂²	1	2	yes	complemented
37	#2847	C₂²	1	2	yes	complemented
38	#2846	C₂²	1	2	yes	complemented
39	#2846	C₂²	1	2	yes	complemented
40	#2842	C₂²	1	1	yes	characteristic, complemented
41	#2842	C₂²	1	1	yes	characteristic, complemented
42	#2838	C₂²	1	4	yes	complemented
43	#2837	C₂²	1	4	yes	complemented
44	#2830	C₂²	1	4	yes	complemented
45	#2829	C₂²	1	4	yes	complemented
46	#2827	C₂²	1	4	yes	complemented
47	#2827	C₂²	1	4	yes	complemented
48	#2820	C₂²	1	4	yes	complemented
49	#2803	C₂²	1	4	yes	complemented
50	#2801	C₂²	1	4	yes	complemented
51	#2800	C₂²	1	4	yes	complemented
52	#2796	C₂²	1	4	yes	complemented
53	#2786	C₂²	1	4	yes	complemented
54	#2786	C₂²	1	4	yes	complemented
55	#2786	C₂²	1	4	yes	complemented
56	#2784	C₂²	1	4	yes	complemented
57	#2778	C₂²	1	4	yes	complemented
58	#2777	C₂²	1	4	yes	complemented
59	#2775	C₂²	1	4	yes	complemented
60	#2775	C₂²	1	4	yes	complemented
61	#2772	C₂²	1	4	yes	complemented
62	#2768	C₂²	1	4	yes	complemented
63	#2765	C₂²	1	4	yes	complemented
64	#2761	C₂²	1	4	yes	complemented
65	#2754	C₂²	1	4	yes	complemented
66	#2753	C₂²	1	4	yes	complemented
67	#2749	C₂²	1	4	yes	complemented
68	#2749	C₂²	1	4	yes	complemented
69	#2746	C₂²	1	4	yes	complemented
70	#2741	C₂²	1	4	yes	complemented
71	#2740	C₂²	1	4	yes	complemented
72	#2740	C₂²	1	4	yes	complemented
73	#2736	C₂²	1	4	yes	complemented
74	#2735	C₂²	1	4	yes	complemented
75	#2735	C₂²	1	4	yes	complemented
76	#2735	C₂²	1	4	yes	complemented
77	#2724	C₂²	1	4	yes	complemented
78	#2723	C₂²	1	4	yes	complemented
79	#2717	C₂²	1	4	yes	complemented
80	#2711	C₂²	1	4	yes	complemented
81	#2710	C₂²	1	4	yes	complemented
82	#2710	C₂²	1	4	yes	complemented
83	#2707	C₂²	1	4	yes	complemented
84	#2706	C₂²	1	4	yes	complemented
85	#2706	C₂²	1	4	yes	complemented
86	#2706	C₂²	1	4	yes	complemented
87	#2705	C₂²	1	4	yes	complemented
88	#2705	C₂²	1	4	yes	complemented
89	#2704	C₂²	1	4	yes	complemented
90	#2701	C₂²	1	4	yes	complemented
91	#2701	C₂²	1	4	yes	complemented
92	#2697	C₂²	1	4	yes	complemented
93	#2697	C₂²	1	4	yes	complemented
94	#2697	C₂²	1	4	yes	complemented
95	#2697	C₂²	1	4	yes	complemented
96	#2695	C₂²	1	4	yes	complemented
97	#2694	C₂²	1	4	yes	complemented
98	#2694	C₂²	1	4	yes	complemented
99	#2691	C₂²	1	4	yes	complemented
100	#2691	C₂²	1	4	yes	complemented
101	#2686	C₂²	1	4	yes	complemented
102	#2686	C₂²	1	4	yes	complemented
103	#2685	C₂²	1	4	yes	complemented
104	#2685	C₂²	1	4	yes	complemented
105	#2685	C₂²	1	4	yes	complemented
106	#2685	C₂²	1	4	yes	complemented
107	#2685	C₂²	1	4	yes	complemented
108	#2684	C₂²	1	4	yes	complemented
109	#2684	C₂²	1	4	yes	complemented
110	#2679	C₂²	1	4	yes	complemented
111	#2679	C₂²	1	4	yes	complemented
112	#2678	C₂²	1	4	yes	—
113	#2678	C₂²	1	4	yes	—
114	#2678	C₂²	1	4	yes	—
115	#2678	C₂²	1	4	yes	—
116	#2678	C₂²	1	4	yes	—
117	#2678	C₂²	1	4	yes	complemented
118	#2678	C₂²	1	4	yes	complemented
119	#2670	C₂²	1	4	yes	—
120	#2670	C₂²	1	4	yes	complemented
121	#2668	C₂²	1	4	yes	complemented
122	#2668	C₂²	1	4	yes	complemented
123	#2664	C₂²	1	4	yes	complemented
124	#2653	C₂²	1	4	yes	complemented
125	#2651	C₂²	1	4	yes	complemented
126	#2648	C₂²	1	4	yes	complemented
127	#2626	C₂²	1	4	yes	complemented
128	#2622	C₂²	1	2	yes	complemented
129	#2622	C₂²	1	2	yes	complemented
130	#2622	C₂²	1	2	yes	complemented
131	#2618	C₂²	1	2	yes	complemented
132	#2617	C₂²	1	4	yes	complemented
133	#2617	C₂²	1	2	yes	complemented
134	#2614	C₂²	1	2	yes	complemented
135	#2609	C₂²	1	4	yes	complemented
136	#2601	C₂²	1	4	yes	complemented
137	#2598	C₂²	1	4	yes	complemented
138	#2576	C₂²	1	4	yes	complemented
139	#2574	C₂²	1	4	yes	complemented
140	#2558	C₂²	1	4	yes	complemented
141	#2558	C₂²	1	4	yes	complemented
142	#2554	C₂²	1	4	yes	complemented
143	#2553	C₂²	1	4	yes	complemented
144	#2539	C₂²	1	2	yes	complemented
145	#2539	C₂²	1	2	yes	complemented
146	#2534	C₂²	1	2	yes	complemented
147	#2534	C₂²	1	2	yes	complemented
148	#2525	C₂²	1	4	yes	complemented
149	#2521	C₂²	1	4	yes	complemented
150	#2516	C₂²	1	4	yes	complemented
151	#2516	C₂²	1	4	yes	complemented
152	#2513	C₂²	1	4	yes	complemented
153	#2513	C₂²	1	4	yes	complemented
154	#2504	C₂²	1	2	yes	complemented
155	#2490	C₂²	1	4	yes	complemented
156	#2487	C₂²	1	2	yes	complemented
157	#2485	C₂²	1	4	yes	complemented
158	#2483	C₂²	1	1	yes	characteristic, complemented
159	#2483	C₂²	1	1	yes	characteristic, complemented
160	#2483	C₂²	1	1	yes	characteristic, complemented
161	#2482	C₂²	1	2	yes	complemented
162	#2482	C₂²	1	2	yes	complemented
163	#2480	C₂²	1	4	yes	complemented
164	#2480	C₂²	1	4	yes	complemented
165	#2479	C₂²	1	4	yes	complemented
166	#2479	C₂²	1	4	yes	complemented
167	#2476	C₂²	1	4	yes	complemented
168	#2475	C₂²	1	4	yes	complemented
169	#2475	C₂²	1	4	yes	complemented
170	#2474	C₂²	1	4	yes	complemented
171	#2472	C₂²	1	4	yes	complemented
172	#2472	C₂²	1	4	yes	complemented
173	#2471	C₂²	1	4	yes	complemented
174	#2470	C₂²	1	4	yes	complemented
175	#2461	C₂²	1	4	yes	complemented
176	#2460	C₂²	1	4	yes	complemented
177	#2459	C₂²	1	4	yes	complemented
178	#2457	C₂²	1	4	yes	complemented
179	#2455	C₂²	1	4	yes	complemented
180	#2454	C₂²	1	4	yes	complemented
181	#2436	C₂²	1	2	yes	complemented
182	#2424	C₂²	1	4	yes	—
183	#2424	C₂²	1	4	yes	complemented
184	#2424	C₂²	1	4	yes	complemented
185	#2418	C₂²	1	4	yes	complemented
186	#2418	C₂²	1	4	yes	complemented
187	#2418	C₂²	1	4	yes	complemented
188	#2418	C₂²	1	4	yes	complemented
189	#2418	C₂²	1	4	yes	complemented
190	#2418	C₂²	1	4	yes	complemented
191	#2413	C₂²	1	2	yes	complemented
192	#2413	C₂²	1	2	yes	complemented
193	#2412	C₂²	1	2	yes	complemented
194	#2412	C₂²	1	2	yes	complemented
195	#2411	C₂²	1	2	yes	complemented
196	#2411	C₂²	1	2	yes	complemented
197	#2411	C₂²	1	2	yes	complemented
198	#2411	C₂²	1	2	yes	complemented
199	#2411	C₂²	1	4	yes	complemented
200	#2409	C₂²	1	2	yes	complemented
201	#2405	C₂²	1	1	yes	characteristic
202	#2405	C₂²	1	1	yes	characteristic
203	#2405	C₂²	1	1	yes	characteristic
204	#2405	C₂²	1	1	yes	characteristic
205	#2405	C₂²	1	1	yes	characteristic
206	#2405	C₂²	1	1	yes	characteristic
207	#2405	C₂²	1	1	yes	characteristic
208	#2405	C₂²	1	1	yes	characteristic
209	#2405	C₂²	1	1	yes	characteristic, complemented
210	#2405	C₂²	1	1	yes	characteristic, complemented
211	#2403	C₂²	1	1	yes	characteristic
212	#2403	C₂²	1	1	yes	characteristic
213	#2403	C₂²	1	1	yes	characteristic
214	#2403	C₂²	1	1	yes	characteristic
215	#2403	C₂²	1	1	yes	characteristic, complemented
216	#2334	C₂²	1	4	yes	complemented
217	#2324	C₂²	1	4	yes	complemented
218	#2322	C₂²	1	2	yes	complemented
219	#2321	C₂²	1	4	yes	complemented
220	#2321	C₂²	1	4	yes	complemented
221	#2321	C₂²	1	2	yes	complemented
222	#2315	C₂²	1	2	yes	complemented
223	#2312	C₂²	1	1	yes	characteristic, complemented
224	#2312	C₂²	1	1	yes	characteristic, complemented
225	#2312	C₂²	1	1	yes	characteristic, complemented
226	#2312	C₂²	1	1	yes	characteristic, complemented
227	#2309	C₂²	1	1	yes	characteristic
228	#2309	C₂²	1	1	yes	characteristic
229	#2309	C₂²	1	1	yes	characteristic, complemented
230	#2308	C₂²	1	1	yes	characteristic
231	#2308	C₂²	1	1	yes	characteristic, complemented
232	C₄×#123	C₂²	1	2	yes	complemented
233	C₄×#120	C₂²	1	2	yes	complemented
234	C₂×#379	C₂²	1	2	yes	complemented
235	C₂⁶	C₂³	1	1	yes	characteristic
236	C₂³×Q₈	C₂³	1	1	yes	characteristic, complemented
237	C₂³×D₄	C₂³	1	1	yes	characteristic
238	C₂³×D₄	C₂³	1	1	yes	characteristic
239	C₂³×D₄	C₂³	1	1	yes	characteristic
240	C₂³×D₄	C₂³	1	1	yes	characteristic
241	C₂³×D₄	C₂³	1	1	yes	characteristic
242	C₂⁴×C₄	C₂³	1	1	yes	characteristic, complemented
243	#534	—	4	4	no	—
244	#534	—	4	4	no	—
245	C₂×#126	C₂³	1	4	yes	—
246	C₂×#126	C₂³	1	4	yes	—
247	C₂×#126	C₂³	1	4	yes	complemented
248	C₂×#125	C₂³	1	4	yes	complemented
249	C₂×#125	C₂³	1	4	yes	complemented
250	C₂×#124	—	4	4	no	—
251	C₂×#124	C₂³	1	4	yes	—
252	C₂×#124	C₂³	1	4	yes	—
253	C₂×#124	C₂³	1	4	yes	complemented
254	C₂×#123	—	4	4	no	—
255	C₂×#123	C₂³	1	2	yes	—
256	C₂×#123	C₂³	1	2	yes	—
257	C₂×#123	C₂³	1	2	yes	—
258	C₂×#123	C₂³	1	4	yes	—
259	C₂×#123	C₂³	1	2	yes	—
260	C₂×#123	C₂³	1	2	yes	—
261	C₂×#123	C₂³	1	2	yes	—
262	C₂×#123	C₂³	1	2	yes	—
263	C₂×#123	C₂³	1	2	yes	—
264	C₂×#123	C₂³	1	2	yes	—
265	C₂×#123	C₂³	1	2	yes	—
266	C₂×#123	C₂³	1	2	yes	—
267	C₂×#123	C₂³	1	2	yes	—
268	C₂×#123	C₂³	1	4	yes	—
269	C₂×#123	C₂³	1	4	yes	complemented
270	C₂×#123	C₂³	1	2	yes	complemented
271	C₂×#123	C₂³	1	2	yes	complemented
272	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
273	C₂×#121	C₂³	1	4	yes	—
274	C₂×#121	C₂³	1	2	yes	—
275	C₂×#121	C₂³	1	2	yes	—
276	C₂×#121	C₂³	1	2	yes	—
277	C₂×#121	C₂³	1	2	yes	—
278	C₂×#121	C₂³	1	4	yes	—
279	C₂×#121	C₂³	1	4	yes	—
280	C₂×#120	—	4	4	no	—
281	C₂×#120	C₂³	1	4	yes	—
282	C₂×#120	C₂³	1	4	yes	—
283	C₂×#120	C₂³	1	2	yes	—
284	C₂×#120	C₂³	1	2	yes	—
285	C₂×#120	C₂³	1	2	yes	—
286	C₂×#120	C₂³	1	2	yes	—
287	C₂×#120	C₂³	1	2	yes	—
288	C₂×#120	C₂³	1	4	yes	—
289	C₂×#120	C₂³	1	4	yes	—
290	C₂×#120	C₂³	1	2	yes	—
291	C₂×#120	C₂³	1	2	yes	—
292	C₂×#120	C₂³	1	2	yes	—
293	C₂×#120	C₂³	1	2	yes	—
294	C₂×#120	C₂³	1	2	yes	—
295	C₂×#120	C₂³	1	4	yes	—
296	C₂×#120	C₂³	1	4	yes	—
297	C₂×#120	C₂³	1	2	yes	—
298	C₂×#120	C₂³	1	2	yes	—
299	C₂×#120	C₂³	1	2	yes	complemented
300	C₂×#120	C₂³	1	2	yes	complemented
301	#518	—	4	4	no	—
302	C₂×C₄×D₄	C₂³	1	2	yes	—
303	C₂×C₄×D₄	C₂³	1	2	yes	—
304	C₂×C₄×D₄	C₂³	1	2	yes	—
305	C₂×C₄×D₄	C₂³	1	2	yes	—
306	C₂×C₄×D₄	C₂³	1	4	yes	—
307	C₂×C₄×D₄	C₂³	1	4	yes	—
308	C₂×#117	C₂³	1	2	yes	—
309	C₂×#117	C₂³	1	2	yes	—
310	C₂×#117	C₂³	1	2	yes	—
311	C₂×#117	C₂³	1	2	yes	complemented
312	C₂×#117	C₂³	1	4	yes	complemented
313	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
314	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
315	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
316	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
317	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
318	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
319	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
320	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
321	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
322	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
323	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
324	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
325	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
326	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
327	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
328	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
329	C₂²×C₂²⋊C₄	C₂³	1	2	yes	complemented
330	C₂²×C₄²	C₂³	1	1	yes	characteristic, complemented
331	#401	C₂³	1	4	yes	complemented
332	#400	C₂³	1	4	yes	complemented
333	#400	C₂³	1	4	yes	complemented
334	#400	C₂³	1	4	yes	complemented
335	#400	C₂³	1	4	yes	complemented
336	#400	C₂³	1	4	yes	complemented
337	#399	C₂³	1	4	yes	—
338	#399	C₂³	1	4	yes	—
339	#399	C₂³	1	4	yes	—
340	#399	C₂³	1	4	yes	—
341	#399	C₂³	1	4	yes	—
342	#399	C₂³	1	4	yes	—
343	#399	C₂³	1	4	yes	complemented
344	#399	C₂³	1	4	yes	complemented
345	#399	C₂³	1	4	yes	complemented
346	#399	C₂³	1	4	yes	complemented
347	#398	C₂³	1	4	yes	complemented
348	#398	C₂³	1	4	yes	complemented
349	#398	C₂³	1	4	yes	complemented
350	#398	C₂³	1	4	yes	complemented
351	#398	C₂³	1	4	yes	complemented
352	#398	C₂³	1	4	yes	complemented
353	#398	C₂³	1	4	yes	complemented
354	#398	C₂³	1	4	yes	complemented
355	#398	C₂³	1	4	yes	complemented
356	#397	C₂³	1	4	yes	—
357	#397	C₂³	1	4	yes	—
358	#397	C₂³	1	4	yes	—
359	#397	C₂³	1	4	yes	—
360	#397	C₂³	1	4	yes	—
361	#397	C₂³	1	4	yes	—
362	#397	C₂³	1	4	yes	—
363	#397	C₂³	1	4	yes	—
364	#397	C₂³	1	4	yes	—
365	#397	C₂³	1	4	yes	—
366	#397	C₂³	1	4	yes	—
367	#397	C₂³	1	4	yes	—
368	#397	C₂³	1	4	yes	—
369	#397	C₂³	1	4	yes	—
370	#397	C₂³	1	4	yes	—
371	#397	C₂³	1	4	yes	—
372	#397	C₂³	1	4	yes	—
373	#397	C₂³	1	4	yes	—
374	#397	C₂³	1	4	yes	complemented
375	#397	C₂³	1	4	yes	complemented
376	#397	C₂³	1	4	yes	complemented
377	#397	C₂³	1	4	yes	complemented
378	#397	C₂³	1	4	yes	complemented
379	#397	C₂³	1	4	yes	complemented
380	#397	C₂³	1	4	yes	complemented
381	#397	C₂³	1	4	yes	complemented
382	#396	C₂³	1	4	yes	—
383	#396	C₂³	1	4	yes	—
384	#396	C₂³	1	4	yes	—
385	#396	C₂³	1	4	yes	—
386	#396	C₂³	1	4	yes	—
387	#396	C₂³	1	4	yes	—
388	#396	C₂³	1	4	yes	—
389	#396	C₂³	1	4	yes	—
390	#396	C₂³	1	4	yes	—
391	#396	C₂³	1	4	yes	—
392	#396	C₂³	1	4	yes	—
393	#396	C₂³	1	4	yes	—
394	#396	C₂³	1	4	yes	complemented
395	#396	C₂³	1	4	yes	complemented
396	#396	C₂³	1	4	yes	complemented
397	#396	C₂³	1	4	yes	complemented
398	#396	C₂³	1	4	yes	complemented
399	#396	C₂³	1	4	yes	complemented
400	#396	C₂³	1	4	yes	complemented
401	#395	C₂³	1	4	yes	complemented
402	#395	C₂³	1	4	yes	complemented
403	#395	C₂³	1	4	yes	complemented
404	#394	C₂³	1	4	yes	—
405	#394	C₂³	1	4	yes	—
406	#394	C₂³	1	4	yes	—
407	#394	C₂³	1	4	yes	—
408	#394	C₂³	1	4	yes	—
409	#394	C₂³	1	4	yes	—
410	#394	C₂³	1	4	yes	—
411	#394	C₂³	1	4	yes	—
412	#394	C₂³	1	4	yes	—
413	#394	C₂³	1	4	yes	—
414	#394	C₂³	1	4	yes	—
415	#394	C₂³	1	4	yes	—
416	#394	C₂³	1	4	yes	—
417	#394	C₂³	1	4	yes	—
418	#394	C₂³	1	4	yes	—
419	#394	C₂³	1	4	yes	—
420	#394	C₂³	1	4	yes	—
421	#394	C₂³	1	4	yes	—
422	#394	C₂³	1	4	yes	—
423	#394	C₂³	1	4	yes	—
424	#394	C₂³	1	4	yes	—
425	#394	C₂³	1	4	yes	—
426	#394	C₂³	1	4	yes	—
427	#394	C₂³	1	4	yes	—
428	#394	C₂³	1	4	yes	—
429	#394	C₂³	1	4	yes	—
430	#394	C₂³	1	4	yes	—
431	#394	C₂³	1	4	yes	—
432	#394	C₂³	1	4	yes	—
433	#394	C₂³	1	4	yes	—
434	#394	C₂³	1	4	yes	—
435	#394	C₂³	1	4	yes	—
436	#394	C₂³	1	4	yes	complemented
437	#394	C₂³	1	4	yes	complemented
438	#393	C₂³	1	4	yes	—
439	#393	C₂³	1	4	yes	—
440	#393	C₂³	1	4	yes	—
441	#393	C₂³	1	4	yes	—
442	#393	C₂³	1	4	yes	complemented
443	#392	C₂³	1	4	yes	—
444	#392	C₂³	1	4	yes	—
445	#392	C₂³	1	4	yes	—
446	#392	C₂³	1	4	yes	—
447	#392	C₂³	1	4	yes	—
448	#392	C₂³	1	4	yes	—
449	#392	C₂³	1	4	yes	—
450	#392	C₂³	1	4	yes	—
451	#391	C₂³	1	4	yes	complemented
452	#391	C₂³	1	4	yes	complemented
453	#390	C₂³	1	4	yes	—
454	#390	C₂³	1	4	yes	—
455	#390	C₂³	1	4	yes	—
456	#390	C₂³	1	4	yes	—
457	#390	C₂³	1	4	yes	—
458	#390	C₂³	1	4	yes	—
459	#390	C₂³	1	4	yes	—
460	#390	C₂³	1	4	yes	—
461	#390	C₂³	1	4	yes	—
462	#390	C₂³	1	4	yes	—
463	#390	C₂³	1	4	yes	—
464	#390	C₂³	1	4	yes	—
465	#390	C₂³	1	4	yes	—
466	#390	C₂³	1	4	yes	—
467	#390	C₂³	1	4	yes	—
468	#390	C₂³	1	4	yes	—
469	#390	C₂³	1	4	yes	complemented
470	#390	C₂³	1	4	yes	complemented
471	#390	C₂³	1	4	yes	complemented
472	#389	C₂³	1	4	yes	complemented
473	#389	C₂³	1	4	yes	complemented
474	#389	C₂³	1	4	yes	complemented
475	#389	C₂³	1	4	yes	complemented
476	#389	C₂³	1	4	yes	complemented
477	#389	C₂³	1	4	yes	complemented
478	#389	C₂³	1	4	yes	complemented
479	#389	C₂³	1	4	yes	complemented
480	#389	C₂³	1	4	yes	complemented
481	#388	C₂³	1	4	yes	—
482	#388	C₂³	1	4	yes	—
483	#388	C₂³	1	4	yes	—
484	#388	C₂³	1	4	yes	—
485	#388	C₂³	1	4	yes	—
486	#388	C₂³	1	4	yes	—
487	#388	C₂³	1	4	yes	—
488	#388	C₂³	1	4	yes	—
489	#388	C₂³	1	4	yes	—
490	#388	C₂³	1	4	yes	—
491	#388	C₂³	1	4	yes	—
492	#388	C₂³	1	4	yes	—
493	#388	C₂³	1	4	yes	—
494	#388	C₂³	1	4	yes	—
495	#388	C₂³	1	4	yes	—
496	#388	C₂³	1	4	yes	—
497	#388	C₂³	1	4	yes	—
498	#388	C₂³	1	4	yes	—
499	#388	C₂³	1	4	yes	—
500	#388	C₂³	1	4	yes	—
501	#388	C₂³	1	4	yes	—
502	#388	C₂³	1	4	yes	—
503	#388	C₂³	1	4	yes	—
504	#388	C₂³	1	4	yes	—
505	#388	C₂³	1	4	yes	—
506	#388	C₂³	1	4	yes	—
507	#388	C₂³	1	4	yes	—
508	#388	C₂³	1	4	yes	—
509	#388	C₂³	1	4	yes	—
510	#388	C₂³	1	4	yes	—
511	#388	C₂³	1	4	yes	—
512	#388	C₂³	1	4	yes	—
513	#388	C₂³	1	4	yes	complemented
514	#388	C₂³	1	4	yes	complemented
515	#388	C₂³	1	4	yes	complemented
516	#388	C₂³	1	4	yes	complemented
517	#388	C₂³	1	4	yes	complemented
518	#388	C₂³	1	4	yes	complemented
519	#388	C₂³	1	4	yes	complemented
520	#388	C₂³	1	4	yes	complemented
521	#388	C₂³	1	4	yes	complemented
522	#388	C₂³	1	4	yes	complemented
523	#388	C₂³	1	4	yes	complemented
524	#388	C₂³	1	4	yes	complemented
525	#388	C₂³	1	4	yes	complemented
526	#387	C₂³	1	4	yes	complemented
527	#387	C₂³	1	4	yes	complemented
528	#387	C₂³	1	4	yes	complemented
529	#387	C₂³	1	4	yes	complemented
530	#387	C₂³	1	4	yes	complemented
531	#387	C₂³	1	4	yes	complemented
532	#387	C₂³	1	4	yes	complemented
533	#387	C₂³	1	4	yes	complemented
534	#387	C₂³	1	4	yes	complemented
535	#387	C₂³	1	4	yes	complemented
536	#387	C₂³	1	4	yes	complemented
537	#387	C₂³	1	4	yes	complemented
538	#387	C₂³	1	4	yes	complemented
539	#387	C₂³	1	4	yes	complemented
540	#387	C₂³	1	4	yes	complemented
541	#386	C₂³	1	4	yes	—
542	#386	C₂³	1	4	yes	—
543	#386	C₂³	1	4	yes	—
544	#386	C₂³	1	4	yes	—
545	#386	C₂³	1	4	yes	—
546	#386	C₂³	1	2	yes	—
547	#386	C₂³	1	4	yes	—
548	#386	C₂³	1	4	yes	—
549	#386	C₂³	1	4	yes	—
550	#386	C₂³	1	4	yes	—
551	#386	C₂³	1	4	yes	—
552	#386	C₂³	1	2	yes	—
553	#386	C₂³	1	2	yes	—
554	#386	C₂³	1	4	yes	—
555	#386	C₂³	1	2	yes	—
556	#386	C₂³	1	2	yes	—
557	#386	C₂³	1	2	yes	—
558	#386	C₂³	1	2	yes	—
559	#386	C₂³	1	2	yes	—
560	#386	C₂³	1	2	yes	—
561	#386	C₂³	1	4	yes	—
562	#386	C₂³	1	4	yes	—
563	#386	C₂³	1	2	yes	—
564	#386	C₂³	1	2	yes	—
565	#386	C₂³	1	2	yes	—
566	#386	C₂³	1	2	yes	—
567	#386	C₂³	1	2	yes	—
568	#386	C₂³	1	2	yes	—
569	#386	C₂³	1	2	yes	—
570	#386	C₂³	1	4	yes	—
571	#386	C₂³	1	4	yes	complemented
572	#386	C₂³	1	4	yes	complemented
573	#386	C₂³	1	2	yes	complemented
574	#386	C₂³	1	2	yes	complemented
575	#386	C₂³	1	2	yes	complemented
576	#386	C₂³	1	2	yes	complemented
577	#386	C₂³	1	4	yes	complemented
578	#385	C₂³	1	4	yes	—
579	#385	C₂³	1	2	yes	—
580	#385	C₂³	1	2	yes	—
581	#385	C₂³	1	2	yes	—
582	#385	C₂³	1	2	yes	—
583	#385	C₂³	1	4	yes	—
584	#385	C₂³	1	4	yes	—
585	#385	C₂³	1	4	yes	—
586	#385	C₂³	1	4	yes	—
587	#385	C₂³	1	4	yes	—
588	#385	C₂³	1	2	yes	—
589	#385	C₂³	1	2	yes	—
590	#385	C₂³	1	2	yes	—
591	#385	C₂³	1	2	yes	—
592	#385	C₂³	1	4	yes	complemented
593	#385	C₂³	1	4	yes	complemented
594	#385	C₂³	1	2	yes	complemented
595	#385	C₂³	1	2	yes	complemented
596	#385	C₂³	1	4	yes	complemented
597	#385	C₂³	1	4	yes	complemented
598	#385	C₂³	1	2	yes	complemented
599	#385	C₂³	1	2	yes	complemented
600	#385	C₂³	1	2	yes	complemented
601	#385	C₂³	1	2	yes	complemented
602	#385	C₂³	1	2	yes	complemented
603	#385	C₂³	1	2	yes	complemented
604	#385	C₂³	1	4	yes	complemented
605	#383	C₂³	1	4	yes	complemented
606	#382	C₂³	1	4	yes	complemented
607	#382	C₂³	1	4	yes	complemented
608	#382	C₂³	1	4	yes	complemented
609	#381	C₂³	1	2	yes	—
610	#381	C₂³	1	2	yes	complemented
611	#381	C₂³	1	2	yes	complemented
612	#381	C₂³	1	2	yes	complemented
613	#381	C₂³	1	2	yes	complemented
614	#381	C₂³	1	2	yes	complemented
615	#381	C₂³	1	2	yes	complemented
616	#381	C₂³	1	2	yes	complemented
617	#380	C₂³	1	4	yes	—
618	#380	C₂³	1	4	yes	—
619	#380	C₂³	1	4	yes	—
620	#380	C₂³	1	4	yes	—
621	#380	C₂³	1	2	yes	complemented
622	#380	C₂³	1	2	yes	complemented
623	#380	C₂³	1	2	yes	complemented
624	#380	C₂³	1	2	yes	complemented
625	#380	C₂³	1	4	yes	complemented
626	#380	C₂³	1	4	yes	complemented
627	#380	C₂³	1	4	yes	complemented
628	#379	C₂³	1	1	yes	characteristic
629	#379	C₂³	1	1	yes	characteristic
630	#379	C₂³	1	1	yes	characteristic
631	#379	C₂³	1	1	yes	characteristic
632	#379	C₂³	1	1	yes	characteristic
633	#379	C₂³	1	1	yes	characteristic
634	#379	C₂³	1	2	yes	—
635	#379	C₂³	1	2	yes	—
636	#379	C₂³	1	4	yes	—
637	#379	C₂³	1	4	yes	—
638	#379	C₂³	1	2	yes	—
639	#379	C₂³	1	2	yes	—
640	#379	C₂³	1	2	yes	—
641	#379	C₂³	1	2	yes	—
642	#379	C₂³	1	4	yes	—
643	#379	C₂³	1	4	yes	—
644	#379	C₂³	1	2	yes	—
645	#379	C₂³	1	2	yes	—
646	#379	C₂³	1	2	yes	—
647	#379	C₂³	1	2	yes	—
648	#379	C₂³	1	4	yes	—
649	#379	C₂³	1	4	yes	—
650	#379	C₂³	1	2	yes	complemented
651	#379	C₂³	1	2	yes	complemented
652	#379	C₂³	1	2	yes	complemented
653	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
654	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
655	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
656	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
657	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
658	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
659	C₄×C₂²⋊C₄	C₂³	1	2	yes	complemented
660	C₄×C₂²⋊C₄	C₂³	1	2	yes	complemented
661	C₄×C₂²⋊C₄	C₂³	1	2	yes	complemented
662	C₄×C₂²⋊C₄	C₂³	1	2	yes	complemented
663	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
664	C₂⁵	—	4	2	no	—
665	C₂⁵	—	4	4	no	—
666	C₂⁵	—	8	2	no	—
667	C₂⁵	—	8	2	no	—
668	C₂⁵	C₂⁴	1	1	yes	characteristic
669	C₂⁵	C₂⁴	1	4	yes	—
670	C₂⁵	C₂⁴	1	1	yes	characteristic
671	C₂⁵	C₂⁴	1	1	yes	characteristic
672	C₂⁵	C₂⁴	1	1	yes	characteristic
673	C₂⁵	C₂⁴	1	1	yes	characteristic
674	C₂⁵	C₂⁴	1	1	yes	characteristic
675	C₂²×Q₈	—	4	2	no	—
676	C₂²×Q₈	—	8	2	no	—
677	C₂²×Q₈	C₂⁴	1	4	yes	—
678	C₂²×D₄	—	2	4	no	—
679	C₂²×D₄	—	2	4	no	—
680	C₂²×D₄	—	2	4	no	—
681	C₂²×D₄	—	2	4	no	—
682	C₂²×D₄	—	2	4	no	—
683	C₂²×D₄	—	4	4	no	—
684	C₂²×D₄	—	8	2	no	—
685	C₂²×D₄	—	8	2	no	—
686	C₂²×D₄	—	8	2	no	—
687	C₂²×D₄	—	8	2	no	—
688	C₂²×D₄	C₂⁴	1	2	yes	—
689	C₂²×D₄	C₂⁴	1	2	yes	—
690	C₂²×D₄	C₂⁴	1	4	yes	—
691	C₂²×D₄	C₂⁴	1	4	yes	—
692	C₂²×D₄	C₂⁴	1	2	yes	—
693	C₂²×D₄	C₂⁴	1	2	yes	—
694	C₂²×D₄	C₂⁴	1	2	yes	—
695	C₂²×D₄	C₂⁴	1	2	yes	—
696	C₂²×D₄	C₂⁴	1	2	yes	—
697	C₂²×D₄	C₂⁴	1	2	yes	—
698	C₂²×D₄	C₂⁴	1	2	yes	—
699	C₂²×D₄	C₂⁴	1	2	yes	—
700	C₂²×D₄	C₂⁴	1	2	yes	—
701	C₂²×D₄	C₂⁴	1	2	yes	—
702	C₂²×D₄	C₂⁴	1	2	yes	—
703	C₂²×D₄	C₂⁴	1	2	yes	—
704	C₂²×D₄	C₂⁴	1	4	yes	—
705	C₂²×D₄	C₂⁴	1	4	yes	—
706	C₂²×D₄	C₂⁴	1	4	yes	—
707	C₂³×C₄	—	4	2	no	—
708	C₂³×C₄	—	8	2	no	—
709	C₂³×C₄	C₂⁴	1	1	yes	characteristic
710	C₂³×C₄	C₂⁴	1	1	yes	characteristic
711	C₂³×C₄	C₂⁴	1	1	yes	characteristic
712	C₂³×C₄	C₂⁴	1	1	yes	characteristic
713	C₂³×C₄	C₂⁴	1	1	yes	characteristic
714	C₂³×C₄	C₂⁴	1	1	yes	characteristic
715	C₂³×C₄	C₂⁴	1	1	yes	characteristic
716	C₂³×C₄	C₂⁴	1	1	yes	characteristic
717	C₂³×C₄	C₂⁴	1	1	yes	characteristic
718	C₂³×C₄	C₂⁴	1	1	yes	characteristic
719	C₂³×C₄	C₂⁴	1	1	yes	characteristic
720	C₂³×C₄	C₂⁴	1	1	yes	characteristic
721	C₂³×C₄	C₂⁴	1	1	yes	characteristic
722	C₂³×C₄	C₂⁴	1	2	yes	—
723	C₂³×C₄	C₂⁴	1	2	yes	—
724	C₂³×C₄	C₂⁴	1	4	yes	—
725	C₂³×C₄	C₂⁴	1	4	yes	—
726	C₂³×C₄	C₂⁴	1	4	yes	—
727	#126	—	4	8	no	—
728	#126	—	8	4	no	—
729	#126	—	8	4	no	—
730	#125	—	8	4	no	—
731	#125	—	8	4	no	—
732	#124	—	4	8	no	—
733	#124	—	4	8	no	—
734	#124	—	8	4	no	—
735	#123	—	4	8	no	—
736	#123	—	4	8	no	—
737	#123	—	4	4	no	—
738	#123	—	4	4	no	—
739	#123	—	4	4	no	—
740	#123	—	4	4	no	—
741	#123	—	4	4	no	—
742	#123	—	4	4	no	—
743	#123	—	8	2	no	—
744	#123	—	8	2	no	—
745	#123	—	8	2	no	—
746	#123	—	8	2	no	—
747	#123	—	8	2	no	—
748	#123	—	8	4	no	—
749	#123	—	8	2	no	—
750	#123	—	8	2	no	—
751	#123	—	8	2	no	—
752	C₂²⋊Q₈	—	8	4	no	—
753	#121	—	4	8	no	—
754	#121	—	4	4	no	—
755	#121	—	4	4	no	—
756	#121	—	4	4	no	—
757	#121	—	4	4	no	—
758	#121	—	8	4	no	—
759	#121	—	8	4	no	—
760	#120	—	4	8	no	—
761	#120	—	4	8	no	—
762	#120	—	4	4	no	—
763	#120	—	4	4	no	—
764	#120	—	4	4	no	—
765	#120	—	4	4	no	—
766	#120	—	4	8	no	—
767	#120	—	4	8	no	—
768	#120	—	4	4	no	—
769	#120	—	4	4	no	—
770	#120	—	8	2	no	—
771	#120	—	8	2	no	—
772	#120	—	8	2	no	—
773	#120	—	8	2	no	—
774	#120	—	8	2	no	—
775	#120	—	8	4	no	—
776	#120	—	8	4	no	—
777	#120	—	8	2	no	—
778	#120	—	8	2	no	—
779	#120	—	8	2	no	—
780	C₄×D₄	—	4	4	no	—
781	C₄×D₄	—	4	4	no	—
782	C₄×D₄	—	4	4	no	—
783	C₄×D₄	—	4	4	no	—
784	C₄×D₄	—	8	4	no	—
785	C₄×D₄	—	8	4	no	—
786	#117	—	4	4	no	—
787	#117	—	8	2	no	—
788	#117	—	8	2	no	—
789	#117	—	8	4	no	—
790	#117	—	8	2	no	—
791	C₂×C₄⋊C₄	—	4	2	no	—
792	C₂×C₄⋊C₄	—	4	2	no	—
793	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
794	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
795	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
796	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
797	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
798	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
799	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
800	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
801	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
802	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
803	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
804	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
805	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
806	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
807	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
808	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
809	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
810	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
811	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
812	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
813	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
814	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
815	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
816	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
817	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
818	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
819	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
820	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
821	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
822	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
823	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
824	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
825	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
826	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
827	C₂×C₂²⋊C₄	—	2	4	no	—
828	C₂×C₂²⋊C₄	—	2	4	no	—
829	C₂×C₂²⋊C₄	—	2	4	no	—
830	C₂×C₂²⋊C₄	—	2	4	no	—
831	C₂×C₂²⋊C₄	—	4	4	no	—
832	C₂×C₂²⋊C₄	—	4	4	no	—
833	C₂×C₂²⋊C₄	—	4	2	no	—
834	C₂×C₂²⋊C₄	—	4	2	no	—
835	C₂×C₂²⋊C₄	—	4	2	no	—
836	C₂×C₂²⋊C₄	—	4	2	no	—
837	C₂×C₂²⋊C₄	—	4	2	no	—
838	C₂×C₂²⋊C₄	—	4	2	no	—
839	C₂×C₂²⋊C₄	—	8	4	no	—
840	C₂×C₂²⋊C₄	—	8	4	no	—
841	C₂×C₂²⋊C₄	—	8	2	no	—
842	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
843	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
844	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
845	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
846	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
847	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
848	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
849	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
850	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
851	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
852	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
853	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
854	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
855	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
856	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
857	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
858	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
859	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
860	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
861	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
862	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
863	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
864	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
865	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
866	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
867	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
868	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
869	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
870	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
871	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
872	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
873	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
874	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
875	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
876	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
877	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
878	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
879	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
880	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
881	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
882	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
883	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
884	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
885	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
886	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
887	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
888	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
889	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
890	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
891	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
892	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
893	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
894	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
895	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
896	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
897	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
898	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
899	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
900	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
901	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
902	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
903	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
904	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
905	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
906	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
907	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
908	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
909	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
910	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
911	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
912	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
913	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
914	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
915	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
916	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
917	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
918	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
919	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
920	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
921	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
922	C₂×C₄²	—	4	2	no	—
923	C₂×C₄²	C₂⁴	1	4	yes	—
924	C₂×C₄²	C₂⁴	1	2	yes	—
925	C₂×C₄²	C₂⁴	1	2	yes	—
926	C₂×C₄²	C₂⁴	1	4	yes	—
927	C₂×C₄²	C₂⁴	1	4	yes	—
928	C₂×C₄²	C₂⁴	1	4	yes	—
929	C₂×C₄²	C₂⁴	1	4	yes	—
930	C₂×C₄²	C₂⁴	1	4	yes	—
931	C₂×C₄²	C₂⁴	1	4	yes	—
932	C₂×C₄²	C₂⁴	1	4	yes	—
933	#95	C₂⁴	1	4	yes	—
934	#95	C₂⁴	1	4	yes	—
935	#95	C₂⁴	1	4	yes	—
936	#95	C₂⁴	1	4	yes	—
937	#95	C₂⁴	1	4	yes	—
938	#95	C₂⁴	1	4	yes	—
939	#95	C₂⁴	1	4	yes	—
940	#95	C₂⁴	1	4	yes	—
941	#95	C₂⁴	1	4	yes	—
942	#95	C₂⁴	1	4	yes	—
943	#95	C₂⁴	1	4	yes	—
944	#95	C₂⁴	1	4	yes	—
945	#95	C₂⁴	1	4	yes	—
946	#95	C₂⁴	1	4	yes	—
947	#95	C₂⁴	1	4	yes	—
948	#95	C₂⁴	1	4	yes	—
949	#95	C₂⁴	1	4	yes	—
950	#95	C₂⁴	1	4	yes	—
951	#95	C₂⁴	1	4	yes	—
952	#95	C₂⁴	1	4	yes	—
953	#95	C₂⁴	1	4	yes	—
954	#95	C₂⁴	1	4	yes	—
955	#95	C₂⁴	1	4	yes	—
956	#95	C₂⁴	1	4	yes	—
957	#95	C₂⁴	1	4	yes	—
958	#95	C₂⁴	1	4	yes	—
959	#95	C₂⁴	1	4	yes	—
960	#95	C₂⁴	1	4	yes	—
961	#95	C₂⁴	1	4	yes	—
962	#95	C₂⁴	1	4	yes	—
963	#95	C₂⁴	1	4	yes	—
964	#95	C₂⁴	1	4	yes	—
965	#95	C₂⁴	1	4	yes	—
966	#95	C₂⁴	1	4	yes	—
967	#95	C₂⁴	1	4	yes	—
968	#95	C₂⁴	1	4	yes	—
969	#95	C₂⁴	1	4	yes	—
970	#95	C₂⁴	1	4	yes	—
971	C₂⁴	—	2	2	no	—
972	C₂⁴	—	2	4	no	—
973	C₂⁴	—	2	2	no	—
974	C₂⁴	—	2	2	no	—
975	C₂⁴	—	2	2	no	—
976	C₂⁴	—	2	2	no	—
977	C₂⁴	—	2	8	no	—
978	C₂⁴	—	4	4	no	—
979	C₂⁴	—	4	4	no	—
980	C₂⁴	—	4	2	no	—
981	C₂⁴	—	4	2	no	—
982	C₂⁴	—	4	2	no	—
983	C₂⁴	—	4	2	no	—
984	C₂⁴	—	4	2	no	—
985	C₂⁴	—	4	2	no	—
986	C₂⁴	—	4	2	no	—
987	C₂⁴	—	4	4	no	—
988	C₂⁴	—	4	2	no	—
989	C₂⁴	—	4	2	no	—
990	C₂⁴	—	4	2	no	—
991	C₂⁴	—	4	2	no	—
992	C₂⁴	—	4	4	no	—
993	C₂⁴	—	4	4	no	—
994	C₂⁴	—	4	2	no	—
995	C₂⁴	—	4	2	no	—
996	C₂⁴	—	4	2	no	—
997	C₂⁴	—	4	2	no	—
998	C₂⁴	—	4	4	no	—
999	C₂⁴	—	4	2	no	—
1000	C₂⁴	—	4	2	no	—
1001	C₂⁴	—	8	8	no	—
1002	C₂⁴	—	8	8	no	—
1003	C₂⁴	—	8	8	no	—
1004	C₂⁴	—	8	32	no	—
1005	C₂⁴	H(5,𝔽₂)	1	4	yes	—
1006	C₂⁴	C₂⁵	1	2	yes	—
1007	C₂⁴	C₂⁵	1	2	yes	—
1008	C₂⁴	C₂⁵	1	2	yes	—
1009	C₂⁴	C₂⁵	1	2	yes	—
1010	C₂⁴	C₂⁵	1	1	yes	characteristic
1011	C₂⁴	C₂⁵	1	1	yes	characteristic
1012	C₂⁴	C₂⁵	1	1	yes	characteristic
1013	C₂⁴	C₂⁵	1	2	yes	—
1014	C₂×Q₈	—	4	4	no	—
1015	C₂×Q₈	—	4	4	no	—
1016	C₂×Q₈	—	4	4	no	—
1017	C₂×Q₈	—	8	8	no	—
1018	C₂×D₄	—	2	4	no	—
1019	C₂×D₄	—	2	4	no	—
1020	C₂×D₄	—	2	4	no	—
1021	C₂×D₄	—	2	4	no	—
1022	C₂×D₄	—	2	4	no	—
1023	C₂×D₄	—	2	4	no	—
1024	C₂×D₄	—	2	4	no	—
1025	C₂×D₄	—	2	4	no	—
1026	C₂×D₄	—	2	4	no	—
1027	C₂×D₄	—	2	4	no	—
1028	C₂×D₄	—	2	4	no	—
1029	C₂×D₄	—	2	4	no	—
1030	C₂×D₄	—	2	8	no	—
1031	C₂×D₄	—	2	8	no	—
1032	C₂×D₄	—	4	2	no	—
1033	C₂×D₄	—	4	2	no	—
1034	C₂×D₄	—	4	4	no	—
1035	C₂×D₄	—	4	4	no	—
1036	C₂×D₄	—	4	4	no	—
1037	C₂×D₄	—	4	4	no	—
1038	C₂×D₄	—	4	2	no	—
1039	C₂×D₄	—	4	2	no	—
1040	C₂×D₄	—	4	2	no	—
1041	C₂×D₄	—	4	2	no	—
1042	C₂×D₄	—	4	2	no	—
1043	C₂×D₄	—	4	2	no	—
1044	C₂×D₄	—	4	2	no	—
1045	C₂×D₄	—	4	2	no	—
1046	C₂×D₄	—	4	2	no	—
1047	C₂×D₄	—	4	2	no	—
1048	C₂×D₄	—	4	2	no	—
1049	C₂×D₄	—	4	2	no	—
1050	C₂×D₄	—	4	2	no	—
1051	C₂×D₄	—	4	2	no	—
1052	C₂×D₄	—	4	2	no	—
1053	C₂×D₄	—	4	2	no	—
1054	C₂×D₄	—	4	2	no	—
1055	C₂×D₄	—	4	2	no	—
1056	C₂×D₄	—	4	2	no	—
1057	C₂×D₄	—	4	2	no	—
1058	C₂×D₄	—	4	4	no	—
1059	C₂×D₄	—	4	4	no	—
1060	C₂×D₄	—	4	4	no	—
1061	C₂×D₄	—	4	4	no	—
1062	C₂×D₄	—	4	4	no	—
1063	C₂×D₄	—	4	4	no	—
1064	C₂×D₄	—	4	4	no	—
1065	C₂×D₄	—	4	4	no	—
1066	C₂×D₄	—	4	4	no	—
1067	C₂×D₄	—	4	4	no	—
1068	C₂×D₄	—	4	4	no	—
1069	C₂×D₄	—	4	4	no	—
1070	C₂×D₄	—	4	4	no	—
1071	C₂×D₄	—	4	16	no	—
1072	C₂×D₄	—	8	8	no	—
1073	C₂×D₄	—	8	8	no	—
1074	C₂×D₄	—	8	8	no	—
1075	C₂×D₄	—	8	8	no	—
1076	C₂²×C₄	—	2	2	no	—
1077	C₂²×C₄	—	2	2	no	—
1078	C₂²×C₄	—	2	2	no	—
1079	C₂²×C₄	—	2	2	no	—
1080	C₂²×C₄	—	2	2	no	—
1081	C₂²×C₄	—	2	2	no	—
1082	C₂²×C₄	—	2	2	no	—
1083	C₂²×C₄	—	2	2	no	—
1084	C₂²×C₄	—	2	2	no	—
1085	C₂²×C₄	—	2	2	no	—
1086	C₂²×C₄	—	2	2	no	—
1087	C₂²×C₄	—	2	2	no	—
1088	C₂²×C₄	—	2	2	no	—
1089	C₂²×C₄	—	4	2	no	—
1090	C₂²×C₄	—	4	2	no	—
1091	C₂²×C₄	—	4	2	no	—
1092	C₂²×C₄	—	4	2	no	—
1093	C₂²×C₄	—	4	2	no	—
1094	C₂²×C₄	—	4	4	no	—
1095	C₂²×C₄	—	4	4	no	—
1096	C₂²×C₄	—	4	4	no	—
1097	C₂²×C₄	—	4	4	no	—
1098	C₂²×C₄	—	4	4	no	—
1099	C₂²×C₄	—	4	4	no	—
1100	C₂²×C₄	—	4	2	no	—
1101	C₂²×C₄	—	4	2	no	—
1102	C₂²×C₄	—	4	2	no	—
1103	C₂²×C₄	—	4	2	no	—
1104	C₂²×C₄	—	4	2	no	—
1105	C₂²×C₄	—	4	2	no	—
1106	C₂²×C₄	—	4	2	no	—
1107	C₂²×C₄	—	4	2	no	—
1108	C₂²×C₄	—	4	2	no	—
1109	C₂²×C₄	—	4	2	no	—
1110	C₂²×C₄	—	4	4	no	—
1111	C₂²×C₄	—	4	4	no	—
1112	C₂²×C₄	—	4	4	no	—
1113	C₂²×C₄	—	4	4	no	—
1114	C₂²×C₄	—	4	4	no	—
1115	C₂²×C₄	—	8	8	no	—
1116	C₂²×C₄	C₂⁵	1	2	yes	—
1117	C₂²×C₄	C₂⁵	1	2	yes	—
1118	C₂²×C₄	C₂⁵	1	2	yes	—
1119	C₂²×C₄	C₂⁵	1	2	yes	—
1120	C₂²×C₄	C₂⁵	1	2	yes	—
1121	C₂²×C₄	C₂⁵	1	4	yes	—
1122	C₂²×C₄	C₂⁵	1	4	yes	—
1123	C₂²×C₄	C₂⁵	1	2	yes	—
1124	C₂²×C₄	C₂⁵	1	4	yes	—
1125	C₂²×C₄	C₂⁵	1	2	yes	—
1126	C₂²×C₄	C₂⁵	1	2	yes	—
1127	C₂²×C₄	C₂⁵	1	4	yes	—
1128	C₂²×C₄	C₂⁵	1	4	yes	—
1129	C₂²×C₄	C₂⁵	1	4	yes	—
1130	C₂²×C₄	C₂⁵	1	2	yes	—
1131	C₂²×C₄	C₂⁵	1	2	yes	—
1132	C₂²×C₄	C₂⁵	1	2	yes	—
1133	C₂²×C₄	C₂⁵	1	2	yes	—
1134	C₂²×C₄	C₂⁵	1	2	yes	—
1135	C₄⋊C₄	—	4	4	no	—
1136	C₄⋊C₄	—	4	4	no	—
1137	C₄⋊C₄	—	4	2	no	—
1138	C₄⋊C₄	—	4	2	no	—
1139	C₄⋊C₄	—	4	4	no	—
1140	C₄⋊C₄	—	4	4	no	—
1141	C₄⋊C₄	—	4	4	no	—
1142	C₄⋊C₄	—	4	4	no	—
1143	C₄⋊C₄	—	4	4	no	—
1144	C₄⋊C₄	—	4	4	no	—
1145	C₄⋊C₄	—	4	4	no	—
1146	C₄⋊C₄	—	4	4	no	—
1147	C₄⋊C₄	—	4	2	no	—
1148	C₄⋊C₄	—	4	2	no	—
1149	C₄⋊C₄	—	4	2	no	—
1150	C₄⋊C₄	—	4	2	no	—
1151	C₄⋊C₄	—	4	4	no	—
1152	C₄⋊C₄	—	4	4	no	—
1153	C₄⋊C₄	—	4	4	no	—
1154	C₄⋊C₄	—	4	4	no	—
1155	C₄⋊C₄	—	4	4	no	—
1156	C₄⋊C₄	—	4	4	no	—
1157	C₄⋊C₄	—	4	4	no	—
1158	C₄⋊C₄	—	4	4	no	—
1159	C₄⋊C₄	—	4	4	no	—
1160	C₄⋊C₄	—	4	4	no	—
1161	C₄⋊C₄	—	4	4	no	—
1162	C₄⋊C₄	—	4	4	no	—
1163	C₄⋊C₄	—	4	4	no	—
1164	C₄⋊C₄	—	4	4	no	—
1165	C₄⋊C₄	—	4	4	no	—
1166	C₄⋊C₄	—	4	4	no	—
1167	C₄⋊C₄	—	4	4	no	—
1168	C₄⋊C₄	—	4	4	no	—
1169	C₂²⋊C₄	—	2	4	no	—
1170	C₂²⋊C₄	—	2	4	no	—
1171	C₂²⋊C₄	—	2	4	no	—
1172	C₂²⋊C₄	—	2	4	no	—
1173	C₂²⋊C₄	—	2	4	no	—
1174	C₂²⋊C₄	—	2	4	no	—
1175	C₂²⋊C₄	—	2	4	no	—
1176	C₂²⋊C₄	—	2	4	no	—
1177	C₂²⋊C₄	—	2	8	no	—
1178	C₂²⋊C₄	—	2	8	no	—
1179	C₂²⋊C₄	—	2	8	no	—
1180	C₂²⋊C₄	—	4	2	no	—
1181	C₂²⋊C₄	—	4	2	no	—
1182	C₂²⋊C₄	—	4	2	no	—
1183	C₂²⋊C₄	—	4	2	no	—
1184	C₂²⋊C₄	—	4	4	no	—
1185	C₂²⋊C₄	—	4	4	no	—
1186	C₂²⋊C₄	—	4	4	no	—
1187	C₂²⋊C₄	—	4	4	no	—
1188	C₂²⋊C₄	—	4	4	no	—
1189	C₂²⋊C₄	—	4	4	no	—
1190	C₂²⋊C₄	—	4	4	no	—
1191	C₂²⋊C₄	—	4	4	no	—
1192	C₂²⋊C₄	—	4	4	no	—
1193	C₂²⋊C₄	—	4	4	no	—
1194	C₂²⋊C₄	—	4	4	no	—
1195	C₂²⋊C₄	—	4	2	no	—
1196	C₂²⋊C₄	—	4	4	no	—
1197	C₂²⋊C₄	—	4	4	no	—
1198	C₂²⋊C₄	—	4	2	no	—
1199	C₂²⋊C₄	—	4	4	no	—
1200	C₂²⋊C₄	—	4	4	no	—
1201	C₂²⋊C₄	—	4	2	no	—
1202	C₂²⋊C₄	—	4	2	no	—
1203	C₂²⋊C₄	—	4	2	no	—
1204	C₂²⋊C₄	—	4	4	no	—
1205	C₂²⋊C₄	—	4	2	no	—
1206	C₂²⋊C₄	—	4	4	no	—
1207	C₂²⋊C₄	—	4	2	no	—
1208	C₂²⋊C₄	—	4	2	no	—
1209	C₂²⋊C₄	—	4	4	no	—
1210	C₂²⋊C₄	—	4	4	no	—
1211	C₂²⋊C₄	—	4	4	no	—
1212	C₂²⋊C₄	—	4	4	no	—
1213	C₂²⋊C₄	—	4	4	no	—
1214	C₂²⋊C₄	—	4	4	no	—
1215	C₂²⋊C₄	—	4	4	no	—
1216	C₂²⋊C₄	—	4	4	no	—
1217	C₂²⋊C₄	—	4	2	no	—
1218	C₂²⋊C₄	—	4	4	no	—
1219	C₂²⋊C₄	—	4	2	no	—
1220	C₂²⋊C₄	—	4	4	no	—
1221	C₂²⋊C₄	—	4	2	no	—
1222	C₂²⋊C₄	—	4	2	no	—
1223	C₂²⋊C₄	—	4	2	no	—
1224	C₂²⋊C₄	—	4	2	no	—
1225	C₂²⋊C₄	—	4	2	no	—
1226	C₂²⋊C₄	—	4	2	no	—
1227	C₂²⋊C₄	—	4	2	no	—
1228	C₂²⋊C₄	—	4	2	no	—
1229	C₂²⋊C₄	—	4	4	no	—
1230	C₂²⋊C₄	—	4	4	no	—
1231	C₂²⋊C₄	—	4	4	no	—
1232	C₂²⋊C₄	—	4	2	no	—
1233	C₂²⋊C₄	—	4	2	no	—
1234	C₂²⋊C₄	—	4	4	no	—
1235	C₂²⋊C₄	—	4	2	no	—
1236	C₂²⋊C₄	—	4	4	no	—
1237	C₂²⋊C₄	—	4	2	no	—
1238	C₂²⋊C₄	—	4	4	no	—
1239	C₂²⋊C₄	—	4	4	no	—
1240	C₂²⋊C₄	—	4	4	no	—
1241	C₂²⋊C₄	—	4	4	no	—
1242	C₂²⋊C₄	—	4	4	no	—
1243	C₂²⋊C₄	—	4	4	no	—
1244	C₂²⋊C₄	—	4	4	no	—
1245	C₂²⋊C₄	—	4	2	no	—
1246	C₂²⋊C₄	—	4	2	no	—
1247	C₂²⋊C₄	—	4	4	no	—
1248	C₂²⋊C₄	—	4	4	no	—
1249	C₄²	—	4	4	no	—
1250	C₄²	—	4	2	no	—
1251	C₄²	—	4	2	no	—
1252	C₄²	—	4	4	no	—
1253	C₄²	—	4	4	no	—
1254	C₄²	—	4	4	no	—
1255	C₄²	—	4	4	no	—
1256	C₄²	—	4	4	no	—
1257	C₄²	—	4	4	no	—
1258	C₄²	—	4	4	no	—
1259	C₂³	—	2	8	no	—
1260	C₂³	—	2	2	no	—
1261	C₂³	—	2	2	no	—
1262	C₂³	—	2	2	no	—
1263	C₂³	—	2	2	no	—
1264	C₂³	—	2	2	no	—
1265	C₂³	—	2	2	no	—
1266	C₂³	—	2	2	no	—
1267	C₂³	—	2	4	no	—
1268	C₂³	—	2	4	no	—
1269	C₂³	—	2	2	no	—
1270	C₂³	—	2	2	no	—
1271	C₂³	—	2	2	no	—
1272	C₂³	—	2	2	no	—
1273	C₂³	—	2	2	no	—
1274	C₂³	—	2	2	no	—
1275	C₂³	—	2	2	no	—
1276	C₂³	—	2	2	no	—
1277	C₂³	—	2	4	no	—
1278	C₂³	—	2	4	no	—
1279	C₂³	—	2	4	no	—
1280	C₂³	—	2	4	no	—
1281	C₂³	—	2	4	no	—
1282	C₂³	—	2	2	no	—
1283	C₂³	—	2	2	no	—
1284	C₂³	—	2	4	no	—
1285	C₂³	—	2	4	no	—
1286	C₂³	—	2	4	no	—
1287	C₂³	—	2	2	no	—
1288	C₂³	—	2	2	no	—
1289	C₂³	—	2	2	no	—
1290	C₂³	—	2	2	no	—
1291	C₂³	—	2	2	no	—
1292	C₂³	—	2	2	no	—
1293	C₂³	—	4	4	no	—
1294	C₂³	—	4	4	no	—
1295	C₂³	—	4	4	no	—
1296	C₂³	—	4	4	no	—
1297	C₂³	—	4	4	no	—
1298	C₂³	—	4	4	no	—
1299	C₂³	—	4	16	no	—
1300	C₂³	—	4	4	no	—
1301	C₂³	—	8	2	no	—
1302	C₂³	—	8	2	no	—
1303	C₂³	—	8	2	no	—
1304	C₂³	—	8	2	no	—
1305	C₂³	—	8	8	no	—
1306	C₂³	—	8	2	no	—
1307	C₂³	—	8	2	no	—
1308	C₂³	—	8	2	no	—
1309	C₂³	—	8	2	no	—
1310	C₂³	—	8	8	no	—
1311	C₂³	—	8	8	no	—
1312	C₂³	—	8	2	no	—
1313	C₂³	—	8	2	no	—
1314	C₂³	—	8	8	no	—
1315	C₂³	—	8	8	no	—
1316	C₂³	—	8	8	no	—
1317	C₂³	—	8	8	no	—
1318	C₂³	—	8	8	no	—
1319	C₂³	—	8	8	no	—
1320	C₂³	—	8	8	no	—
1321	C₂³	—	8	64	no	—
1322	C₂³	—	16	4	no	—
1323	C₂³	—	16	4	no	—
1324	C₂³	C₂×H(5,𝔽₂)	1	2	yes	—
1325	C₂³	C₂×H(5,𝔽₂)	1	2	yes	—
1326	C₂³	C₂×H(5,𝔽₂)	1	2	yes	—
1327	C₂³	#585	1	4	yes	—
1328	C₂³	C₂⁶	1	1	yes	characteristic
1329	Q₈	—	8	8	no	—
1330	D₄	—	4	8	no	—
1331	D₄	—	4	8	no	—
1332	D₄	—	8	8	no	—
1333	D₄	—	8	8	no	—
1334	D₄	—	8	4	no	—
1335	D₄	—	8	4	no	—
1336	D₄	—	8	4	no	—
1337	D₄	—	8	4	no	—
1338	D₄	—	8	4	no	—
1339	D₄	—	8	4	no	—
1340	D₄	—	8	4	no	—
1341	D₄	—	8	4	no	—
1342	D₄	—	16	2	no	—
1343	D₄	—	16	2	no	—
1344	D₄	—	16	2	no	—
1345	D₄	—	16	2	no	—
1346	D₄	—	16	4	no	—
1347	D₄	—	16	4	no	—
1348	D₄	—	16	4	no	—
1349	C₂×C₄	—	2	2	no	—
1350	C₂×C₄	—	2	2	no	—
1351	C₂×C₄	—	2	2	no	—
1352	C₂×C₄	—	2	2	no	—
1353	C₂×C₄	—	2	2	no	—
1354	C₂×C₄	—	2	2	no	—
1355	C₂×C₄	—	2	2	no	—
1356	C₂×C₄	—	2	2	no	—
1357	C₂×C₄	—	2	2	no	—
1358	C₂×C₄	—	2	2	no	—
1359	C₂×C₄	—	2	2	no	—
1360	C₂×C₄	—	2	2	no	—
1361	C₂×C₄	—	2	2	no	—
1362	C₂×C₄	—	2	4	no	—
1363	C₂×C₄	—	2	4	no	—
1364	C₂×C₄	—	2	4	no	—
1365	C₂×C₄	—	2	4	no	—
1366	C₂×C₄	—	2	4	no	—
1367	C₂×C₄	—	2	4	no	—
1368	C₂×C₄	—	2	4	no	—
1369	C₂×C₄	—	2	4	no	—
1370	C₂×C₄	—	2	2	no	—
1371	C₂×C₄	—	2	2	no	—
1372	C₂×C₄	—	2	2	no	—
1373	C₂×C₄	—	2	4	no	—
1374	C₂×C₄	—	2	4	no	—
1375	C₂×C₄	—	2	4	no	—
1376	C₂×C₄	—	2	4	no	—
1377	C₂×C₄	—	2	2	no	—
1378	C₂×C₄	—	2	2	no	—
1379	C₂×C₄	—	2	4	no	—
1380	C₂×C₄	—	2	4	no	—
1381	C₂×C₄	—	2	4	no	—
1382	C₂×C₄	—	2	4	no	—
1383	C₂×C₄	—	2	4	no	—
1384	C₂×C₄	—	2	4	no	—
1385	C₂×C₄	—	2	4	no	—
1386	C₂×C₄	—	2	4	no	—
1387	C₂×C₄	—	2	4	no	—
1388	C₂×C₄	—	2	4	no	—
1389	C₂×C₄	—	2	4	no	—
1390	C₂×C₄	—	2	2	no	—
1391	C₂×C₄	—	2	4	no	—
1392	C₂×C₄	—	2	4	no	—
1393	C₂×C₄	—	2	2	no	—
1394	C₂×C₄	—	2	4	no	—
1395	C₂×C₄	—	2	2	no	—
1396	C₂×C₄	—	2	2	no	—
1397	C₂×C₄	—	2	2	no	—
1398	C₂×C₄	—	4	4	no	—
1399	C₂×C₄	—	4	4	no	—
1400	C₂×C₄	—	4	4	no	—
1401	C₂×C₄	—	4	4	no	—
1402	C₂×C₄	—	4	4	no	—
1403	C₂×C₄	—	8	2	no	—
1404	C₂×C₄	—	8	2	no	—
1405	C₂×C₄	—	8	2	no	—
1406	C₂×C₄	—	8	2	no	—
1407	C₂×C₄	—	8	2	no	—
1408	C₂×C₄	—	8	2	no	—
1409	C₂×C₄	—	8	2	no	—
1410	C₂×C₄	—	8	2	no	—
1411	C₂×C₄	—	8	8	no	—
1412	C₂×C₄	—	8	8	no	—
1413	C₂×C₄	—	16	2	no	—
1414	C₂×C₄	—	16	2	no	—
1415	C₂×C₄	—	16	4	no	—
1416	C₂²	—	2	2	no	—
1417	C₂²	—	2	2	no	—
1418	C₂²	—	2	2	no	—
1419	C₂²	—	2	4	no	—
1420	C₂²	—	2	2	no	—
1421	C₂²	—	2	2	no	—
1422	C₂²	—	2	2	no	—
1423	C₂²	—	2	2	no	—
1424	C₂²	—	2	2	no	—
1425	C₂²	—	2	2	no	—
1426	C₂²	—	2	8	no	—
1427	C₂²	—	4	2	no	—
1428	C₂²	—	4	2	no	—
1429	C₂²	—	4	4	no	—
1430	C₂²	—	4	4	no	—
1431	C₂²	—	4	4	no	—
1432	C₂²	—	4	4	no	—
1433	C₂²	—	4	2	no	—
1434	C₂²	—	4	2	no	—
1435	C₂²	—	4	2	no	—
1436	C₂²	—	4	2	no	—
1437	C₂²	—	4	2	no	—
1438	C₂²	—	4	2	no	—
1439	C₂²	—	4	2	no	—
1440	C₂²	—	4	2	no	—
1441	C₂²	—	4	2	no	—
1442	C₂²	—	4	2	no	—
1443	C₂²	—	4	2	no	—
1444	C₂²	—	4	2	no	—
1445	C₂²	—	4	4	no	—
1446	C₂²	—	4	4	no	—
1447	C₂²	—	4	4	no	—
1448	C₂²	—	4	4	no	—
1449	C₂²	—	4	4	no	—
1450	C₂²	—	4	4	no	—
1451	C₂²	—	4	4	no	—
1452	C₂²	—	4	4	no	—
1453	C₂²	—	8	8	no	—
1454	C₂²	—	8	8	no	—
1455	C₂²	—	8	32	no	—
1456	C₂²	—	8	8	no	—
1457	C₂²	—	8	8	no	—
1458	C₂²	—	16	4	no	—
1459	C₂²	—	16	4	no	—
1460	C₂²	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1461	C₂²	C₂×#585	1	2	yes	—
1462	C₂²	H(7,𝔽₂)	1	2	yes	—
1463	C₂²	H(7,𝔽₂)	1	2	yes	—
1464	C₄	—	4	2	no	—
1465	C₄	—	4	2	no	—
1466	C₄	—	4	2	no	—
1467	C₄	—	4	2	no	—
1468	C₄	—	4	2	no	—
1469	C₄	—	4	2	no	—
1470	C₄	—	4	2	no	—
1471	C₄	—	4	2	no	—
1472	C₄	—	4	2	no	—
1473	C₄	—	4	2	no	—
1474	C₄	—	4	2	no	—
1475	C₄	—	4	2	no	—
1476	C₄	—	4	2	no	—
1477	C₄	—	4	4	no	—
1478	C₄	—	4	4	no	—
1479	C₄	—	4	4	no	—
1480	C₄	—	4	4	no	—
1481	C₄	—	4	4	no	—
1482	C₄	—	4	4	no	—
1483	C₂	—	4	4	no	—
1484	C₂	—	4	2	no	—
1485	C₂	—	4	2	no	—
1486	C₂	—	4	2	no	—
1487	C₂	—	8	2	no	—
1488	C₂	—	8	2	no	—
1489	C₂	—	8	2	no	—
1490	C₂	—	8	2	no	—
1491	C₂	#62820	1	1	yes	characteristic
1492	C₂	#62862	1	1	yes	characteristic
1493	C₂	#62862	1	1	yes	characteristic
1494	C₂	#62867	1	4	yes	—

	subgroup	G/H
center, commutator, Frattini, socle, cosocle	C₂³	C₂⁶
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. #56608	C₂	semidirect
2. #56319	C₂	semidirect
3. #55682	C₂	semidirect
4. #54892	C₂	semidirect
5. #54050	C₂	semidirect
6. #53426	C₂	semidirect
7. #47153	C₂	semidirect
8. #47038	C₂	semidirect
9. #46997	C₂	semidirect
10. #46628	C₂	semidirect
11. #46390	C₂	semidirect
12. #46390	C₂	semidirect
13. #46389	C₂	semidirect
14. #46388	C₂	semidirect
15. #46384	C₂	semidirect
16. #37119	C₂	semidirect
17. #36967	C₂	semidirect
18. #36965	C₂	semidirect
19. #36898	C₂	semidirect
20. #36886	C₂	semidirect
21. #36725	C₂	semidirect
22. #36721	C₂	semidirect
23. #36714	C₂	semidirect
24. #36714	C₂	semidirect
25. #35451	C₂	semidirect
26. #35354	C₂	semidirect
27. #35350	C₂	semidirect
30. C₂²×#124	C₂²	semidirect
31. C₂²×#123	C₂²	semidirect
34. #2854	C₂²	semidirect
35. #2853	C₂²	semidirect
36. #2849	C₂²	semidirect
37. #2847	C₂²	semidirect
38. #2846	C₂²	semidirect
39. #2846	C₂²	semidirect
40. #2842	C₂²	semidirect
41. #2842	C₂²	semidirect
42. #2838	C₂²	semidirect
43. #2837	C₂²	semidirect
44. #2830	C₂²	semidirect
45. #2829	C₂²	semidirect
46. #2827	C₂²	semidirect
47. #2827	C₂²	semidirect
48. #2820	C₂²	semidirect
49. #2803	C₂²	semidirect
50. #2801	C₂²	semidirect
51. #2800	C₂²	semidirect
52. #2796	C₂²	semidirect
53. #2786	C₂²	semidirect
54. #2786	C₂²	semidirect
55. #2786	C₂²	semidirect
56. #2784	C₂²	semidirect
57. #2778	C₂²	semidirect
58. #2777	C₂²	semidirect
59. #2775	C₂²	semidirect
60. #2775	C₂²	semidirect
61. #2772	C₂²	semidirect
62. #2768	C₂²	semidirect
63. #2765	C₂²	semidirect
64. #2761	C₂²	semidirect
65. #2754	C₂²	semidirect
66. #2753	C₂²	semidirect
67. #2749	C₂²	semidirect
68. #2749	C₂²	semidirect
69. #2746	C₂²	semidirect
70. #2741	C₂²	semidirect
71. #2740	C₂²	semidirect
72. #2740	C₂²	semidirect
73. #2736	C₂²	semidirect
74. #2735	C₂²	semidirect
75. #2735	C₂²	semidirect
76. #2735	C₂²	semidirect
77. #2724	C₂²	semidirect
78. #2723	C₂²	semidirect
79. #2717	C₂²	semidirect
80. #2711	C₂²	semidirect
81. #2710	C₂²	semidirect
82. #2710	C₂²	semidirect
83. #2707	C₂²	semidirect
84. #2706	C₂²	semidirect
85. #2706	C₂²	semidirect
86. #2706	C₂²	semidirect
87. #2705	C₂²	semidirect
88. #2705	C₂²	semidirect
89. #2704	C₂²	semidirect
90. #2701	C₂²	semidirect
91. #2701	C₂²	semidirect
92. #2697	C₂²	semidirect
93. #2697	C₂²	semidirect
94. #2697	C₂²	semidirect
95. #2697	C₂²	semidirect
96. #2695	C₂²	semidirect
97. #2694	C₂²	semidirect
98. #2694	C₂²	semidirect
99. #2691	C₂²	semidirect
100. #2691	C₂²	semidirect
101. #2686	C₂²	semidirect
102. #2686	C₂²	semidirect
103. #2685	C₂²	semidirect
104. #2685	C₂²	semidirect
105. #2685	C₂²	semidirect
106. #2685	C₂²	semidirect
107. #2685	C₂²	semidirect
108. #2684	C₂²	semidirect
109. #2684	C₂²	semidirect
110. #2679	C₂²	semidirect
111. #2679	C₂²	semidirect
117. #2678	C₂²	semidirect
118. #2678	C₂²	semidirect
120. #2670	C₂²	semidirect
121. #2668	C₂²	semidirect
122. #2668	C₂²	semidirect
123. #2664	C₂²	semidirect
124. #2653	C₂²	semidirect
125. #2651	C₂²	semidirect
126. #2648	C₂²	semidirect
127. #2626	C₂²	semidirect
128. #2622	C₂²	semidirect
129. #2622	C₂²	semidirect
130. #2622	C₂²	semidirect
131. #2618	C₂²	semidirect
132. #2617	C₂²	semidirect
133. #2617	C₂²	semidirect
134. #2614	C₂²	semidirect
135. #2609	C₂²	semidirect
136. #2601	C₂²	semidirect
137. #2598	C₂²	semidirect
138. #2576	C₂²	semidirect
139. #2574	C₂²	semidirect
140. #2558	C₂²	semidirect
141. #2558	C₂²	semidirect
142. #2554	C₂²	semidirect
143. #2553	C₂²	semidirect
144. #2539	C₂²	semidirect
145. #2539	C₂²	semidirect
146. #2534	C₂²	semidirect
147. #2534	C₂²	semidirect
148. #2525	C₂²	semidirect
149. #2521	C₂²	semidirect
150. #2516	C₂²	semidirect
151. #2516	C₂²	semidirect
152. #2513	C₂²	semidirect
153. #2513	C₂²	semidirect
154. #2504	C₂²	semidirect
155. #2490	C₂²	semidirect
156. #2487	C₂²	semidirect
157. #2485	C₂²	semidirect
158. #2483	C₂²	semidirect
159. #2483	C₂²	semidirect
160. #2483	C₂²	semidirect
161. #2482	C₂²	semidirect
162. #2482	C₂²	semidirect
163. #2480	C₂²	semidirect
164. #2480	C₂²	semidirect
165. #2479	C₂²	semidirect
166. #2479	C₂²	semidirect
167. #2476	C₂²	semidirect
168. #2475	C₂²	semidirect
169. #2475	C₂²	semidirect
170. #2474	C₂²	semidirect
171. #2472	C₂²	semidirect
172. #2472	C₂²	semidirect
173. #2471	C₂²	semidirect
174. #2470	C₂²	semidirect
175. #2461	C₂²	semidirect
176. #2460	C₂²	semidirect
177. #2459	C₂²	semidirect
178. #2457	C₂²	semidirect
179. #2455	C₂²	semidirect
180. #2454	C₂²	semidirect
181. #2436	C₂²	semidirect
183. #2424	C₂²	semidirect
184. #2424	C₂²	semidirect
185. #2418	C₂²	semidirect
186. #2418	C₂²	semidirect
187. #2418	C₂²	semidirect
188. #2418	C₂²	semidirect
189. #2418	C₂²	semidirect
190. #2418	C₂²	semidirect
191. #2413	C₂²	semidirect
192. #2413	C₂²	semidirect
193. #2412	C₂²	semidirect
194. #2412	C₂²	semidirect
195. #2411	C₂²	semidirect
196. #2411	C₂²	semidirect
197. #2411	C₂²	semidirect
198. #2411	C₂²	semidirect
199. #2411	C₂²	semidirect
200. #2409	C₂²	semidirect
209. #2405	C₂²	semidirect
210. #2405	C₂²	semidirect
215. #2403	C₂²	semidirect
216. #2334	C₂²	semidirect
217. #2324	C₂²	semidirect
218. #2322	C₂²	semidirect
219. #2321	C₂²	semidirect
220. #2321	C₂²	semidirect
221. #2321	C₂²	semidirect
222. #2315	C₂²	semidirect
223. #2312	C₂²	semidirect
224. #2312	C₂²	semidirect
225. #2312	C₂²	semidirect
226. #2312	C₂²	semidirect
229. #2309	C₂²	semidirect
231. #2308	C₂²	semidirect
232. C₄×#123	C₂²	semidirect
233. C₄×#120	C₂²	semidirect
234. C₂×#379	C₂²	semidirect
236. C₂³×Q₈	C₂³	semidirect
242. C₂⁴×C₄	C₂³	semidirect
247. C₂×#126	C₂³	semidirect
248. C₂×#125	C₂³	semidirect
249. C₂×#125	C₂³	semidirect
253. C₂×#124	C₂³	semidirect
269. C₂×#123	C₂³	semidirect
270. C₂×#123	C₂³	semidirect
271. C₂×#123	C₂³	semidirect
299. C₂×#120	C₂³	semidirect
300. C₂×#120	C₂³	semidirect
311. C₂×#117	C₂³	semidirect
312. C₂×#117	C₂³	semidirect
313. C₂²×C₄⋊C₄	C₂³	semidirect
314. C₂²×C₄⋊C₄	C₂³	semidirect
326. C₂²×C₂²⋊C₄	C₂³	semidirect
327. C₂²×C₂²⋊C₄	C₂³	semidirect
328. C₂²×C₂²⋊C₄	C₂³	semidirect
329. C₂²×C₂²⋊C₄	C₂³	semidirect
330. C₂²×C₄²	C₂³	semidirect
331. #401	C₂³	semidirect
332. #400	C₂³	semidirect
333. #400	C₂³	semidirect
334. #400	C₂³	semidirect
335. #400	C₂³	semidirect
336. #400	C₂³	semidirect
343. #399	C₂³	semidirect
344. #399	C₂³	semidirect
345. #399	C₂³	semidirect
346. #399	C₂³	semidirect
347. #398	C₂³	semidirect
348. #398	C₂³	semidirect
349. #398	C₂³	semidirect
350. #398	C₂³	semidirect
351. #398	C₂³	semidirect
352. #398	C₂³	semidirect
353. #398	C₂³	semidirect
354. #398	C₂³	semidirect
355. #398	C₂³	semidirect
374. #397	C₂³	semidirect
375. #397	C₂³	semidirect
376. #397	C₂³	semidirect
377. #397	C₂³	semidirect
378. #397	C₂³	semidirect
379. #397	C₂³	semidirect
380. #397	C₂³	semidirect
381. #397	C₂³	semidirect
394. #396	C₂³	semidirect
395. #396	C₂³	semidirect
396. #396	C₂³	semidirect
397. #396	C₂³	semidirect
398. #396	C₂³	semidirect
399. #396	C₂³	semidirect
400. #396	C₂³	semidirect
401. #395	C₂³	semidirect
402. #395	C₂³	semidirect
403. #395	C₂³	semidirect
436. #394	C₂³	semidirect
437. #394	C₂³	semidirect
442. #393	C₂³	semidirect
451. #391	C₂³	semidirect
452. #391	C₂³	semidirect
469. #390	C₂³	semidirect
470. #390	C₂³	semidirect
471. #390	C₂³	semidirect
472. #389	C₂³	semidirect
473. #389	C₂³	semidirect
474. #389	C₂³	semidirect
475. #389	C₂³	semidirect
476. #389	C₂³	semidirect
477. #389	C₂³	semidirect
478. #389	C₂³	semidirect
479. #389	C₂³	semidirect
480. #389	C₂³	semidirect
513. #388	C₂³	semidirect
514. #388	C₂³	semidirect
515. #388	C₂³	semidirect
516. #388	C₂³	semidirect
517. #388	C₂³	semidirect
518. #388	C₂³	semidirect
519. #388	C₂³	semidirect
520. #388	C₂³	semidirect
521. #388	C₂³	semidirect
522. #388	C₂³	semidirect
523. #388	C₂³	semidirect
524. #388	C₂³	semidirect
525. #388	C₂³	semidirect
526. #387	C₂³	semidirect
527. #387	C₂³	semidirect
528. #387	C₂³	semidirect
529. #387	C₂³	semidirect
530. #387	C₂³	semidirect
531. #387	C₂³	semidirect
532. #387	C₂³	semidirect
533. #387	C₂³	semidirect
534. #387	C₂³	semidirect
535. #387	C₂³	semidirect
536. #387	C₂³	semidirect
537. #387	C₂³	semidirect
538. #387	C₂³	semidirect
539. #387	C₂³	semidirect
540. #387	C₂³	semidirect
571. #386	C₂³	semidirect
572. #386	C₂³	semidirect
573. #386	C₂³	semidirect
574. #386	C₂³	semidirect
575. #386	C₂³	semidirect
576. #386	C₂³	semidirect
577. #386	C₂³	semidirect
592. #385	C₂³	semidirect
593. #385	C₂³	semidirect
594. #385	C₂³	semidirect
595. #385	C₂³	semidirect
596. #385	C₂³	semidirect
597. #385	C₂³	semidirect
598. #385	C₂³	semidirect
599. #385	C₂³	semidirect
600. #385	C₂³	semidirect
601. #385	C₂³	semidirect
602. #385	C₂³	semidirect
603. #385	C₂³	semidirect
604. #385	C₂³	semidirect
605. #383	C₂³	semidirect
606. #382	C₂³	semidirect
607. #382	C₂³	semidirect
608. #382	C₂³	semidirect
610. #381	C₂³	semidirect
611. #381	C₂³	semidirect
612. #381	C₂³	semidirect
613. #381	C₂³	semidirect
614. #381	C₂³	semidirect
615. #381	C₂³	semidirect
616. #381	C₂³	semidirect
621. #380	C₂³	semidirect
622. #380	C₂³	semidirect
623. #380	C₂³	semidirect
624. #380	C₂³	semidirect
625. #380	C₂³	semidirect
626. #380	C₂³	semidirect
627. #380	C₂³	semidirect
650. #379	C₂³	semidirect
651. #379	C₂³	semidirect
652. #379	C₂³	semidirect
653. C₄×C₄⋊C₄	C₂³	semidirect
654. C₄×C₄⋊C₄	C₂³	semidirect
655. C₄×C₄⋊C₄	C₂³	semidirect
656. C₄×C₄⋊C₄	C₂³	semidirect
659. C₄×C₂²⋊C₄	C₂³	semidirect
660. C₄×C₂²⋊C₄	C₂³	semidirect
661. C₄×C₂²⋊C₄	C₂³	semidirect
662. C₄×C₂²⋊C₄	C₂³	semidirect
663. C₄×C₂²⋊C₄	C₂³	semidirect

Maximal subgroups

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

subgroup	index
#56608	2
#56319	2
#55682	2
#54892	2
#54050	2
#53426	2
#47153	2
#47038	2
#46997	2
#46628	2
#46390	2
#46389	2
#46388	2
#46384	2
#37119	2
#36967	2
#36965	2
#36898	2
#36886	2
#36725	2
#36721	2
#36714	2
#35451	2
#35354	2
#35350	2