Subgroups — #7709228

Order 512.

6234 conjugacy classes of subgroups.

The subgroup lattice has 1373 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#59285	C₂	1	2	yes	maximal, complemented
2	#59268	C₂	1	4	yes	maximal, complemented
3	#59267	C₂	1	2	yes	maximal, complemented
4	#45461	C₂	1	2	yes	maximal, complemented
5	#45460	C₂	1	2	yes	maximal, complemented
6	#45459	C₂	1	4	yes	maximal, complemented
7	#37977	C₂	1	4	yes	maximal, complemented
8	#37976	C₂	1	4	yes	maximal, complemented
9	#37965	C₂	1	4	yes	maximal, complemented
10	#37964	C₂	1	4	yes	maximal, complemented
11	#37849	C₂	1	4	yes	maximal, complemented
12	#37661	C₂	1	4	yes	maximal, complemented
13	#37475	C₂	1	1	yes	maximal, characteristic, complemented
14	#37436	C₂	1	1	yes	maximal, characteristic
15	#36974	C₂	1	2	yes	maximal, complemented
16	#36974	C₂	1	2	yes	maximal, complemented
17	C₂×#2849	C₂	1	2	yes	maximal, complemented
18	#36169	C₂	1	4	yes	maximal, complemented
19	#36109	C₂	1	4	yes	maximal, complemented
20	#35118	C₂	1	2	yes	maximal, complemented
21	#35094	C₂	1	2	yes	maximal, complemented
22	#34356	C₂	1	2	yes	maximal, complemented
23	C₂×#2280	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂⁵×C₄	C₂²	1	1	yes	characteristic
25	C₂×#539	C₂²	1	2	yes	complemented
26	C₂×#529	C₂²	1	2	yes	complemented
27	C₂²×#123	C₂²	1	2	yes	complemented
28	C₂²×#123	C₂²	1	2	yes	complemented
29	C₂²×#120	C₂²	1	2	yes	—
30	C₂²×#117	C₂²	1	1	yes	characteristic, complemented
31	C₂²×#117	C₂²	1	1	yes	characteristic, complemented
32	#2855	C₂²	1	2	yes	complemented
33	#2854	C₂²	1	2	yes	complemented
34	#2853	C₂²	1	4	yes	complemented
35	#2849	C₂²	1	4	yes	—
36	#2849	C₂²	1	4	yes	—
37	#2849	C₂²	1	4	yes	—
38	#2849	C₂²	1	4	yes	—
39	#2849	C₂²	1	4	yes	complemented
40	#2849	C₂²	1	4	yes	complemented
41	#2849	C₂²	1	4	yes	complemented
42	#2849	C₂²	1	4	yes	complemented
43	#2842	C₂²	1	2	yes	complemented
44	#2842	C₂²	1	1	yes	characteristic, complemented
45	#2840	C₂²	1	1	yes	characteristic, complemented
46	#2812	C₂²	1	2	yes	—
47	#2812	C₂²	1	2	yes	—
48	#2771	C₂²	1	2	yes	complemented
49	#2771	C₂²	1	2	yes	complemented
50	#2765	C₂²	1	4	yes	complemented
51	#2765	C₂²	1	4	yes	complemented
52	#2764	C₂²	1	2	yes	complemented
53	#2764	C₂²	1	2	yes	complemented
54	#2761	C₂²	1	4	yes	complemented
55	#2761	C₂²	1	4	yes	complemented
56	#2760	C₂²	1	2	yes	complemented
57	#2760	C₂²	1	2	yes	complemented
58	#2752	C₂²	1	2	yes	complemented
59	#2752	C₂²	1	2	yes	complemented
60	#2751	C₂²	1	4	yes	complemented
61	#2751	C₂²	1	4	yes	complemented
62	#2750	C₂²	1	4	yes	complemented
63	#2750	C₂²	1	4	yes	complemented
64	#2749	C₂²	1	4	yes	complemented
65	#2749	C₂²	1	4	yes	complemented
66	#2746	C₂²	1	4	yes	complemented
67	#2745	C₂²	1	4	yes	complemented
68	#2744	C₂²	1	4	yes	complemented
69	#2743	C₂²	1	4	yes	complemented
70	#2743	C₂²	1	4	yes	complemented
71	#2743	C₂²	1	4	yes	complemented
72	#2740	C₂²	1	4	yes	complemented
73	#2739	C₂²	1	4	yes	complemented
74	#2738	C₂²	1	4	yes	complemented
75	#2737	C₂²	1	4	yes	complemented
76	#2707	C₂²	1	4	yes	complemented
77	#2706	C₂²	1	4	yes	complemented
78	#2705	C₂²	1	4	yes	complemented
79	#2696	C₂²	1	4	yes	complemented
80	#2695	C₂²	1	4	yes	complemented
81	#2694	C₂²	1	4	yes	complemented
82	#2693	C₂²	1	4	yes	complemented
83	#2687	C₂²	1	4	yes	complemented
84	#2627	C₂²	1	2	yes	complemented
85	#2626	C₂²	1	2	yes	complemented
86	#2626	C₂²	1	2	yes	complemented
87	#2626	C₂²	1	4	yes	complemented
88	#2626	C₂²	1	4	yes	complemented
89	#2623	C₂²	1	4	yes	complemented
90	#2622	C₂²	1	4	yes	—
91	#2618	C₂²	1	2	yes	complemented
92	#2617	C₂²	1	2	yes	—
93	#2617	C₂²	1	2	yes	—
94	#2613	C₂²	1	4	yes	—
95	#2611	C₂²	1	2	yes	complemented
96	#2611	C₂²	1	2	yes	complemented
97	#2610	C₂²	1	2	yes	complemented
98	#2610	C₂²	1	2	yes	complemented
99	#2609	C₂²	1	4	yes	complemented
100	#2609	C₂²	1	4	yes	complemented
101	#2601	C₂²	1	4	yes	complemented
102	#2601	C₂²	1	4	yes	complemented
103	#2599	C₂²	1	2	yes	complemented
104	#2599	C₂²	1	2	yes	complemented
105	#2598	C₂²	1	2	yes	complemented
106	#2598	C₂²	1	2	yes	complemented
107	#2576	C₂²	1	4	yes	complemented
108	#2575	C₂²	1	4	yes	complemented
109	#2573	C₂²	1	4	yes	complemented
110	#2572	C₂²	1	4	yes	complemented
111	#2569	C₂²	1	4	yes	complemented
112	#2564	C₂²	1	4	yes	complemented
113	#2558	C₂²	1	4	yes	complemented
114	#2557	C₂²	1	4	yes	complemented
115	#2554	C₂²	1	4	yes	complemented
116	#2553	C₂²	1	4	yes	complemented
117	#2527	C₂²	1	4	yes	complemented
118	#2526	C₂²	1	4	yes	complemented
119	#2516	C₂²	1	4	yes	complemented
120	#2515	C₂²	1	4	yes	complemented
121	#2510	C₂²	1	4	yes	complemented
122	#2510	C₂²	1	4	yes	complemented
123	#2505	C₂²	1	4	yes	complemented
124	#2505	C₂²	1	4	yes	complemented
125	#2498	C₂²	1	4	yes	complemented
126	#2493	C₂²	1	4	yes	complemented
127	#2493	C₂²	1	4	yes	complemented
128	#2493	C₂²	1	4	yes	complemented
129	#2493	C₂²	1	4	yes	complemented
130	#2488	C₂²	1	4	yes	complemented
131	#2488	C₂²	1	4	yes	complemented
132	#2488	C₂²	1	4	yes	complemented
133	#2483	C₂²	1	1	yes	characteristic
134	#2481	C₂²	1	4	yes	complemented
135	#2481	C₂²	1	4	yes	complemented
136	#2480	C₂²	1	4	yes	complemented
137	#2480	C₂²	1	4	yes	complemented
138	#2479	C₂²	1	4	yes	complemented
139	#2479	C₂²	1	4	yes	complemented
140	#2477	C₂²	1	4	yes	complemented
141	#2477	C₂²	1	4	yes	complemented
142	#2475	C₂²	1	4	yes	complemented
143	#2475	C₂²	1	4	yes	complemented
144	#2473	C₂²	1	4	yes	complemented
145	#2473	C₂²	1	4	yes	complemented
146	#2472	C₂²	1	4	yes	complemented
147	#2471	C₂²	1	4	yes	complemented
148	#2471	C₂²	1	4	yes	complemented
149	#2471	C₂²	1	4	yes	complemented
150	#2470	C₂²	1	4	yes	complemented
151	#2458	C₂²	1	4	yes	complemented
152	#2457	C₂²	1	4	yes	complemented
153	#2442	C₂²	1	4	yes	complemented
154	#2438	C₂²	1	4	yes	complemented
155	#2437	C₂²	1	2	yes	—
156	#2437	C₂²	1	2	yes	—
157	#2437	C₂²	1	4	yes	complemented
158	#2437	C₂²	1	4	yes	complemented
159	#2437	C₂²	1	4	yes	complemented
160	#2425	C₂²	1	4	yes	complemented
161	#2425	C₂²	1	4	yes	complemented
162	#2419	C₂²	1	4	yes	complemented
163	#2419	C₂²	1	4	yes	complemented
164	#2419	C₂²	1	4	yes	complemented
165	#2418	C₂²	1	4	yes	complemented
166	#2417	C₂²	1	4	yes	complemented
167	#2412	C₂²	1	4	yes	—
168	#2412	C₂²	1	4	yes	complemented
169	#2410	C₂²	1	4	yes	—
170	#2405	C₂²	1	2	yes	—
171	#2403	C₂²	1	1	yes	characteristic
172	#2375	C₂²	1	4	yes	complemented
173	#2375	C₂²	1	4	yes	complemented
174	#2368	C₂²	1	4	yes	complemented
175	#2360	C₂²	1	4	yes	complemented
176	#2359	C₂²	1	4	yes	complemented
177	#2358	C₂²	1	4	yes	—
178	#2358	C₂²	1	4	yes	—
179	#2358	C₂²	1	4	yes	complemented
180	#2353	C₂²	1	4	yes	complemented
181	#2352	C₂²	1	4	yes	complemented
182	#2343	C₂²	1	4	yes	complemented
183	#2342	C₂²	1	4	yes	—
184	#2342	C₂²	1	4	yes	complemented
185	#2342	C₂²	1	4	yes	complemented
186	D₄×C₂²⋊C₄	C₂²	1	4	yes	—
187	D₄×C₂²⋊C₄	C₂²	1	4	yes	complemented
188	#2322	C₂²	1	4	yes	complemented
189	#2321	C₂²	1	4	yes	—
190	#2321	C₂²	1	4	yes	—
191	#2321	C₂²	1	4	yes	complemented
192	#2321	C₂²	1	4	yes	complemented
193	#2313	C₂²	1	2	yes	complemented
194	#2312	C₂²	1	2	yes	complemented
195	#2312	C₂²	1	2	yes	complemented
196	#2309	C₂²	1	2	yes	complemented
197	#2308	C₂²	1	2	yes	complemented
198	C₄×#123	C₂²	1	4	yes	complemented
199	C₂×#386	C₂²	1	4	yes	—
200	C₂×#386	C₂²	1	4	yes	complemented
201	C₂×#385	C₂²	1	4	yes	—
202	C₂×#385	C₂²	1	4	yes	complemented
203	#2283	C₂²	1	2	yes	complemented
204	#2280	C₂²	1	2	yes	—
205	#2280	C₂²	1	2	yes	—
206	#2280	C₂²	1	4	yes	complemented
207	#2280	C₂²	1	4	yes	complemented
208	#2280	C₂²	1	2	yes	complemented
209	#2280	C₂²	1	2	yes	complemented
210	C₂×#381	C₂²	1	2	yes	complemented
211	C₂×#381	C₂²	1	2	yes	complemented
212	C₂×#381	C₂²	1	1	yes	characteristic, complemented
213	C₂×#381	C₂²	1	1	yes	characteristic, complemented
214	C₂×#380	C₂²	1	4	yes	complemented
215	C₂×#379	C₂²	1	2	yes	—
216	C₂×#379	C₂²	1	1	yes	characteristic
217	C₂×#379	C₂²	1	1	yes	characteristic
218	C₂×C₄×C₂²⋊C₄	C₂²	1	4	yes	complemented
219	C₂⁶	C₂³	1	1	yes	characteristic
220	C₂³×D₄	C₂³	1	2	yes	—
221	C₂³×D₄	C₂³	1	2	yes	—
222	C₂³×D₄	C₂³	1	2	yes	—
223	C₂⁴×C₄	—	2	8	no	—
224	C₂⁴×C₄	—	4	4	no	—
225	C₂⁴×C₄	—	4	4	no	—
226	C₂⁴×C₄	C₂³	1	1	yes	characteristic
227	C₂⁴×C₄	C₂³	1	2	yes	—
228	C₂⁴×C₄	C₂³	1	2	yes	—
229	C₂⁴×C₄	C₂³	1	4	yes	—
230	C₂⁴×C₄	C₂³	1	1	yes	characteristic
231	C₂⁴×C₄	C₂³	1	2	yes	—
232	C₂⁴×C₄	C₂³	1	2	yes	—
233	#539	—	4	8	no	—
234	#529	—	4	8	no	—
235	C₂×#126	C₂³	1	4	yes	complemented
236	C₂×#126	C₂³	1	4	yes	complemented
237	C₂×#125	C₂³	1	2	yes	complemented
238	C₂×#125	C₂³	1	4	yes	complemented
239	C₂×#124	C₂³	1	2	yes	complemented
240	C₂×#123	—	4	8	no	—
241	C₂×#123	—	4	8	no	—
242	C₂×#123	C₂³	1	4	yes	—
243	C₂×#123	C₂³	1	4	yes	—
244	C₂×#123	C₂³	1	4	yes	—
245	C₂×#123	C₂³	1	4	yes	—
246	C₂×#123	C₂³	1	4	yes	—
247	C₂×#123	C₂³	1	4	yes	—
248	C₂×#123	C₂³	1	4	yes	—
249	C₂×#123	C₂³	1	4	yes	—
250	C₂×#123	C₂³	1	4	yes	—
251	C₂×#123	C₂³	1	4	yes	complemented
252	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
253	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
254	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
255	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
256	C₂×C₂²⋊Q₈	C₂³	1	4	yes	complemented
257	C₂×#121	C₂³	1	2	yes	—
258	C₂×#121	C₂³	1	2	yes	—
259	C₂×#120	—	2	16	no	—
260	C₂×#120	C₂³	1	4	yes	—
261	C₂×#120	C₂³	1	4	yes	—
262	C₂×#120	C₂³	1	4	yes	—
263	C₂×#120	C₂³	1	4	yes	—
264	C₂×#120	C₂³	1	4	yes	—
265	C₂×C₄×Q₈	C₂³	1	2	yes	complemented
266	C₂×C₄×D₄	C₂³	1	4	yes	—
267	C₂×C₄×D₄	C₂³	1	4	yes	—
268	C₂×C₄×D₄	C₂³	1	4	yes	—
269	C₂×C₄×D₄	C₂³	1	4	yes	—
270	C₂×C₄×D₄	C₂³	1	2	yes	complemented
271	C₂×#117	—	4	4	no	—
272	C₂×#117	—	4	4	no	—
273	C₂×#117	C₂³	1	4	yes	—
274	C₂×#117	C₂³	1	2	yes	—
275	C₂×#117	C₂³	1	2	yes	—
276	C₂×#117	C₂³	1	2	yes	—
277	C₂×#117	C₂³	1	2	yes	—
278	C₂×#117	C₂³	1	2	yes	—
279	C₂×#117	C₂³	1	4	yes	—
280	C₂×#117	C₂³	1	2	yes	—
281	C₂×#117	C₂³	1	4	yes	complemented
282	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
283	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
284	C₂²×C₄⋊C₄	C₂³	1	4	yes	—
285	C₂²×C₄⋊C₄	C₂³	1	4	yes	—
286	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
287	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
288	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
289	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
290	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
291	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
292	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
293	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
294	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
295	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
296	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
297	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
298	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
299	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
300	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
301	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
302	C₂²×C₄²	C₂³	1	2	yes	—
303	C₂²×C₄²	C₂³	1	2	yes	—
304	#401	C₂³	1	4	yes	complemented
305	#401	C₂³	1	4	yes	complemented
306	#400	C₂³	1	4	yes	complemented
307	#400	C₂³	1	4	yes	complemented
308	#400	C₂³	1	4	yes	complemented
309	#400	C₂³	1	4	yes	complemented
310	#400	C₂³	1	4	yes	complemented
311	#400	C₂³	1	4	yes	complemented
312	#400	C₂³	1	2	yes	complemented
313	#400	C₂³	1	2	yes	complemented
314	#400	C₂³	1	4	yes	complemented
315	#400	C₂³	1	4	yes	complemented
316	#400	C₂³	1	4	yes	complemented
317	#400	C₂³	1	4	yes	complemented
318	#400	C₂³	1	4	yes	complemented
319	#400	C₂³	1	4	yes	complemented
320	#400	C₂³	1	4	yes	complemented
321	#400	C₂³	1	4	yes	complemented
322	#399	C₂³	1	4	yes	—
323	#399	C₂³	1	2	yes	—
324	#399	C₂³	1	2	yes	—
325	#399	C₂³	1	4	yes	—
326	#399	C₂³	1	2	yes	—
327	#399	C₂³	1	2	yes	—
328	#399	C₂³	1	4	yes	complemented
329	#399	C₂³	1	4	yes	complemented
330	#398	C₂³	1	4	yes	complemented
331	#398	C₂³	1	4	yes	complemented
332	#398	C₂³	1	2	yes	complemented
333	#398	C₂³	1	2	yes	complemented
334	#398	C₂³	1	4	yes	complemented
335	#398	C₂³	1	4	yes	complemented
336	#398	C₂³	1	4	yes	complemented
337	#398	C₂³	1	4	yes	complemented
338	#398	C₂³	1	4	yes	complemented
339	#398	C₂³	1	4	yes	complemented
340	#397	C₂³	1	4	yes	—
341	#397	C₂³	1	4	yes	—
342	#397	C₂³	1	2	yes	—
343	#397	C₂³	1	2	yes	—
344	#397	C₂³	1	2	yes	—
345	#397	C₂³	1	2	yes	—
346	#397	C₂³	1	4	yes	complemented
347	#397	C₂³	1	4	yes	complemented
348	#397	C₂³	1	4	yes	complemented
349	#397	C₂³	1	4	yes	complemented
350	#397	C₂³	1	4	yes	complemented
351	#397	C₂³	1	4	yes	complemented
352	#397	C₂³	1	4	yes	complemented
353	#397	C₂³	1	4	yes	complemented
354	#397	C₂³	1	4	yes	complemented
355	#397	C₂³	1	4	yes	complemented
356	#396	C₂³	1	4	yes	—
357	#396	C₂³	1	4	yes	—
358	#396	C₂³	1	4	yes	—
359	#396	C₂³	1	4	yes	—
360	#396	C₂³	1	4	yes	—
361	#396	C₂³	1	4	yes	—
362	#396	C₂³	1	4	yes	—
363	#396	C₂³	1	4	yes	—
364	#396	C₂³	1	4	yes	complemented
365	#396	C₂³	1	4	yes	complemented
366	#396	C₂³	1	4	yes	complemented
367	#396	C₂³	1	4	yes	complemented
368	#395	C₂³	1	2	yes	complemented
369	#395	C₂³	1	2	yes	complemented
370	#394	C₂³	1	4	yes	—
371	#394	C₂³	1	4	yes	—
372	#394	C₂³	1	4	yes	—
373	#394	C₂³	1	4	yes	—
374	#394	C₂³	1	4	yes	—
375	#394	C₂³	1	4	yes	—
376	#394	C₂³	1	4	yes	—
377	#394	C₂³	1	4	yes	—
378	#394	C₂³	1	2	yes	complemented
379	#394	C₂³	1	2	yes	complemented
380	#394	C₂³	1	4	yes	complemented
381	#394	C₂³	1	4	yes	complemented
382	#393	C₂³	1	4	yes	—
383	#393	C₂³	1	2	yes	—
384	#393	C₂³	1	2	yes	—
385	#393	C₂³	1	4	yes	—
386	#393	C₂³	1	2	yes	—
387	#393	C₂³	1	2	yes	—
388	#393	C₂³	1	4	yes	complemented
389	#393	C₂³	1	4	yes	complemented
390	#392	C₂³	1	2	yes	—
391	#392	C₂³	1	2	yes	—
392	#392	C₂³	1	2	yes	—
393	#392	C₂³	1	4	yes	—
394	#392	C₂³	1	4	yes	—
395	#392	C₂³	1	2	yes	—
396	#391	C₂³	1	4	yes	complemented
397	#391	C₂³	1	4	yes	complemented
398	#391	C₂³	1	4	yes	complemented
399	#390	C₂³	1	4	yes	—
400	#390	C₂³	1	4	yes	—
401	#390	C₂³	1	4	yes	—
402	#390	C₂³	1	4	yes	—
403	#390	C₂³	1	4	yes	—
404	#390	C₂³	1	4	yes	—
405	#390	C₂³	1	4	yes	—
406	#390	C₂³	1	4	yes	—
407	#390	C₂³	1	4	yes	complemented
408	#389	C₂³	1	4	yes	complemented
409	#389	C₂³	1	4	yes	complemented
410	#389	C₂³	1	4	yes	complemented
411	#389	C₂³	1	4	yes	complemented
412	#389	C₂³	1	4	yes	complemented
413	#389	C₂³	1	4	yes	complemented
414	#388	C₂³	1	4	yes	—
415	#388	C₂³	1	4	yes	—
416	#388	C₂³	1	4	yes	—
417	#388	C₂³	1	4	yes	—
418	#388	C₂³	1	4	yes	—
419	#388	C₂³	1	4	yes	—
420	#388	C₂³	1	4	yes	—
421	#388	C₂³	1	4	yes	—
422	#388	C₂³	1	4	yes	—
423	#388	C₂³	1	4	yes	—
424	#388	C₂³	1	4	yes	—
425	#388	C₂³	1	4	yes	—
426	#388	C₂³	1	4	yes	—
427	#388	C₂³	1	4	yes	—
428	#388	C₂³	1	4	yes	—
429	#388	C₂³	1	4	yes	—
430	#388	C₂³	1	4	yes	complemented
431	#388	C₂³	1	4	yes	complemented
432	#388	C₂³	1	4	yes	complemented
433	#388	C₂³	1	4	yes	complemented
434	#388	C₂³	1	4	yes	complemented
435	#388	C₂³	1	4	yes	complemented
436	#388	C₂³	1	4	yes	complemented
437	#388	C₂³	1	4	yes	complemented
438	#388	C₂³	1	4	yes	complemented
439	#388	C₂³	1	4	yes	complemented
440	#388	C₂³	1	4	yes	complemented
441	#388	C₂³	1	4	yes	complemented
442	#388	C₂³	1	4	yes	complemented
443	#388	C₂³	1	4	yes	complemented
444	#388	C₂³	1	4	yes	complemented
445	#388	C₂³	1	4	yes	complemented
446	#387	C₂³	1	4	yes	complemented
447	#387	C₂³	1	4	yes	complemented
448	#387	C₂³	1	4	yes	complemented
449	#387	C₂³	1	4	yes	complemented
450	#387	C₂³	1	4	yes	complemented
451	#387	C₂³	1	4	yes	complemented
452	#387	C₂³	1	4	yes	complemented
453	#387	C₂³	1	4	yes	complemented
454	#387	C₂³	1	4	yes	complemented
455	#387	C₂³	1	4	yes	complemented
456	#387	C₂³	1	4	yes	complemented
457	#387	C₂³	1	4	yes	complemented
458	#387	C₂³	1	4	yes	complemented
459	#387	C₂³	1	4	yes	complemented
460	#387	C₂³	1	4	yes	complemented
461	#387	C₂³	1	4	yes	complemented
462	#387	C₂³	1	4	yes	complemented
463	#387	C₂³	1	4	yes	complemented
464	#387	C₂³	1	4	yes	complemented
465	#387	C₂³	1	4	yes	complemented
466	#387	C₂³	1	4	yes	complemented
467	#387	C₂³	1	4	yes	complemented
468	#387	C₂³	1	4	yes	complemented
469	#387	C₂³	1	4	yes	complemented
470	#386	C₂³	1	4	yes	—
471	#386	C₂³	1	4	yes	—
472	#386	C₂³	1	4	yes	—
473	#386	C₂³	1	4	yes	—
474	#386	C₂³	1	4	yes	—
475	#386	C₂³	1	4	yes	—
476	#386	C₂³	1	4	yes	—
477	#386	C₂³	1	4	yes	—
478	#386	C₂³	1	4	yes	—
479	#386	C₂³	1	4	yes	—
480	#386	C₂³	1	4	yes	—
481	#386	C₂³	1	4	yes	—
482	#386	C₂³	1	4	yes	—
483	#386	C₂³	1	4	yes	—
484	#386	C₂³	1	4	yes	—
485	#386	C₂³	1	4	yes	—
486	#386	C₂³	1	4	yes	—
487	#386	C₂³	1	4	yes	—
488	#386	C₂³	1	4	yes	—
489	#386	C₂³	1	4	yes	—
490	#386	C₂³	1	4	yes	—
491	#386	C₂³	1	4	yes	—
492	#386	C₂³	1	4	yes	—
493	#386	C₂³	1	4	yes	—
494	#386	C₂³	1	4	yes	—
495	#386	C₂³	1	4	yes	—
496	#386	C₂³	1	4	yes	—
497	#386	C₂³	1	4	yes	—
498	#386	C₂³	1	4	yes	—
499	#386	C₂³	1	4	yes	—
500	#386	C₂³	1	4	yes	—
501	#386	C₂³	1	4	yes	—
502	#386	C₂³	1	4	yes	complemented
503	#386	C₂³	1	4	yes	complemented
504	#385	C₂³	1	4	yes	—
505	#385	C₂³	1	4	yes	—
506	#385	C₂³	1	4	yes	—
507	#385	C₂³	1	4	yes	—
508	#385	C₂³	1	4	yes	—
509	#385	C₂³	1	4	yes	—
510	#385	C₂³	1	4	yes	—
511	#385	C₂³	1	4	yes	—
512	#385	C₂³	1	4	yes	—
513	#385	C₂³	1	4	yes	—
514	#385	C₂³	1	4	yes	—
515	#385	C₂³	1	4	yes	—
516	#385	C₂³	1	4	yes	—
517	#385	C₂³	1	4	yes	—
518	#385	C₂³	1	4	yes	—
519	#385	C₂³	1	4	yes	—
520	#385	C₂³	1	4	yes	—
521	#385	C₂³	1	4	yes	—
522	#385	C₂³	1	4	yes	—
523	#385	C₂³	1	4	yes	—
524	#385	C₂³	1	4	yes	—
525	#385	C₂³	1	4	yes	—
526	#385	C₂³	1	4	yes	—
527	#385	C₂³	1	4	yes	—
528	#385	C₂³	1	4	yes	—
529	#385	C₂³	1	4	yes	—
530	#385	C₂³	1	4	yes	—
531	#385	C₂³	1	4	yes	—
532	#385	C₂³	1	4	yes	complemented
533	#385	C₂³	1	4	yes	complemented
534	#385	C₂³	1	4	yes	complemented
535	#385	C₂³	1	4	yes	complemented
536	#383	C₂³	1	2	yes	complemented
537	#383	C₂³	1	4	yes	complemented
538	#383	C₂³	1	2	yes	complemented
539	#383	C₂³	1	4	yes	complemented
540	#382	C₂³	1	4	yes	complemented
541	#382	C₂³	1	4	yes	complemented
542	#382	C₂³	1	4	yes	complemented
543	#381	C₂³	1	4	yes	—
544	#381	C₂³	1	4	yes	—
545	#381	C₂³	1	4	yes	—
546	#381	C₂³	1	4	yes	—
547	#381	C₂³	1	4	yes	—
548	#381	C₂³	1	4	yes	—
549	#381	C₂³	1	4	yes	—
550	#381	C₂³	1	4	yes	—
551	#381	C₂³	1	4	yes	—
552	#381	C₂³	1	4	yes	—
553	#381	C₂³	1	2	yes	—
554	#381	C₂³	1	4	yes	—
555	#381	C₂³	1	2	yes	—
556	#381	C₂³	1	2	yes	—
557	#381	C₂³	1	2	yes	—
558	#381	C₂³	1	2	yes	—
559	#381	C₂³	1	2	yes	—
560	#381	C₂³	1	4	yes	complemented
561	#381	C₂³	1	4	yes	complemented
562	#380	C₂³	1	4	yes	—
563	#380	C₂³	1	4	yes	—
564	#380	C₂³	1	4	yes	—
565	#380	C₂³	1	2	yes	—
566	#380	C₂³	1	2	yes	—
567	#380	C₂³	1	4	yes	—
568	#380	C₂³	1	4	yes	—
569	#380	C₂³	1	4	yes	—
570	#380	C₂³	1	2	yes	—
571	#380	C₂³	1	2	yes	—
572	#380	C₂³	1	4	yes	—
573	#380	C₂³	1	4	yes	—
574	#380	C₂³	1	4	yes	—
575	#380	C₂³	1	4	yes	—
576	#380	C₂³	1	4	yes	—
577	#380	C₂³	1	4	yes	—
578	#380	C₂³	1	4	yes	complemented
579	#380	C₂³	1	4	yes	complemented
580	#379	C₂³	1	2	yes	—
581	#379	C₂³	1	2	yes	—
582	#379	C₂³	1	2	yes	—
583	#379	C₂³	1	2	yes	—
584	#379	C₂³	1	4	yes	—
585	#379	C₂³	1	4	yes	—
586	#379	C₂³	1	2	yes	—
587	#379	C₂³	1	1	yes	characteristic
588	#379	C₂³	1	2	yes	—
589	#379	C₂³	1	1	yes	characteristic
590	#379	C₂³	1	4	yes	—
591	#379	C₂³	1	2	yes	—
592	#379	C₂³	1	4	yes	—
593	#379	C₂³	1	4	yes	—
594	#379	C₂³	1	2	yes	—
595	#379	C₂³	1	1	yes	characteristic
596	#379	C₂³	1	1	yes	characteristic
597	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
598	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
599	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
600	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
601	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
602	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
603	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
604	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
605	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
606	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
607	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
608	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
609	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
610	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
611	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
612	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
613	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
614	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
615	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
616	#376	C₂³	1	2	yes	complemented
617	#376	C₂³	1	2	yes	complemented
618	C₂×#95	C₂³	1	4	yes	—
619	C₂×#95	C₂³	1	4	yes	—
620	C₂×#95	C₂³	1	4	yes	—
621	C₂×#95	C₂³	1	4	yes	—
622	C₂×#95	C₂³	1	4	yes	—
623	C₂×#95	C₂³	1	4	yes	—
624	C₂⁵	—	4	2	no	—
625	C₂⁵	—	4	2	no	—
626	C₂⁵	—	4	8	no	—
627	C₂⁵	#41	1	8	yes	—
628	C₂⁵	C₂⁴	1	2	yes	—
629	C₂⁵	C₂⁴	1	1	yes	characteristic
630	C₂⁵	C₂⁴	1	2	yes	—
631	C₂⁵	C₂⁴	1	1	yes	characteristic
632	C₂⁵	C₂⁴	1	2	yes	—
633	C₂⁵	C₂⁴	1	1	yes	characteristic
634	C₂²×Q₈	C₂⁴	1	2	yes	—
635	C₂²×Q₈	C₂⁴	1	2	yes	—
636	C₂²×D₄	—	2	8	no	—
637	C₂²×D₄	—	2	8	no	—
638	C₂²×D₄	—	2	8	no	—
639	C₂²×D₄	—	4	8	no	—
640	C₂²×D₄	—	4	4	no	—
641	C₂²×D₄	—	4	4	no	—
642	C₂²×D₄	—	4	8	no	—
643	C₂²×D₄	C₂⁴	1	4	yes	—
644	C₂²×D₄	C₂⁴	1	4	yes	—
645	C₂²×D₄	C₂⁴	1	4	yes	—
646	C₂²×D₄	C₂⁴	1	4	yes	—
647	C₂²×D₄	C₂⁴	1	4	yes	—
648	C₂²×D₄	C₂⁴	1	4	yes	—
649	C₂²×D₄	C₂⁴	1	2	yes	—
650	C₂²×D₄	C₂⁴	1	2	yes	—
651	C₂³×C₄	—	2	4	no	—
652	C₂³×C₄	—	2	4	no	—
653	C₂³×C₄	—	2	4	no	—
654	C₂³×C₄	—	2	8	no	—
655	C₂³×C₄	—	2	8	no	—
656	C₂³×C₄	—	2	8	no	—
657	C₂³×C₄	—	2	16	no	—
658	C₂³×C₄	—	2	8	no	—
659	C₂³×C₄	—	2	4	no	—
660	C₂³×C₄	—	2	8	no	—
661	C₂³×C₄	—	2	8	no	—
662	C₂³×C₄	—	4	4	no	—
663	C₂³×C₄	—	4	4	no	—
664	C₂³×C₄	—	4	8	no	—
665	C₂³×C₄	—	4	8	no	—
666	C₂³×C₄	—	4	4	no	—
667	C₂³×C₄	—	4	4	no	—
668	C₂³×C₄	—	4	4	no	—
669	C₂³×C₄	—	4	4	no	—
670	C₂³×C₄	—	4	2	no	—
671	C₂³×C₄	—	4	2	no	—
672	C₂³×C₄	—	4	64	no	—
673	C₂³×C₄	C₂⁴	1	2	yes	—
674	C₂³×C₄	C₂⁴	1	2	yes	—
675	C₂³×C₄	C₂⁴	1	2	yes	—
676	C₂³×C₄	C₂⁴	1	2	yes	—
677	C₂³×C₄	C₂⁴	1	4	yes	—
678	C₂³×C₄	C₂⁴	1	4	yes	—
679	C₂³×C₄	C₂⁴	1	4	yes	—
680	C₂³×C₄	C₂⁴	1	4	yes	—
681	C₂³×C₄	C₂⁴	1	1	yes	characteristic
682	C₂³×C₄	C₂⁴	1	1	yes	characteristic
683	C₂³×C₄	C₂⁴	1	4	yes	—
684	C₂³×C₄	C₂⁴	1	4	yes	—
685	C₂³×C₄	C₂⁴	1	2	yes	—
686	C₂³×C₄	C₂⁴	1	2	yes	—
687	C₂³×C₄	C₂⁴	1	2	yes	—
688	C₂³×C₄	C₂⁴	1	2	yes	—
689	C₂³×C₄	C₂⁴	1	2	yes	—
690	C₂³×C₄	C₂⁴	1	2	yes	—
691	C₂³×C₄	C₂⁴	1	2	yes	—
692	C₂³×C₄	C₂⁴	1	2	yes	—
693	C₂³×C₄	C₂⁴	1	4	yes	—
694	C₂³×C₄	C₂⁴	1	4	yes	—
695	#126	—	4	8	no	—
696	#126	—	4	8	no	—
697	#125	—	4	4	no	—
698	#125	—	4	8	no	—
699	#124	—	4	4	no	—
700	#123	—	2	16	no	—
701	#123	—	2	16	no	—
702	#123	—	4	8	no	—
703	#123	—	4	8	no	—
704	#123	—	4	8	no	—
705	#123	—	4	8	no	—
706	#123	—	4	8	no	—
707	#123	—	4	8	no	—
708	#123	—	4	8	no	—
709	#123	—	4	8	no	—
710	C₂²⋊Q₈	—	4	8	no	—
711	C₂²⋊Q₈	—	4	8	no	—
712	C₂²⋊Q₈	—	4	4	no	—
713	C₂²⋊Q₈	—	4	4	no	—
714	C₂²⋊Q₈	—	4	8	no	—
715	#121	—	4	4	no	—
716	#121	—	4	4	no	—
717	#120	—	2	16	no	—
718	#120	—	2	16	no	—
719	#120	—	2	16	no	—
720	#120	—	2	16	no	—
721	#120	—	4	8	no	—
722	C₄×Q₈	—	4	4	no	—
723	C₄×D₄	—	4	4	no	—
724	C₄×D₄	—	4	8	no	—
725	C₄×D₄	—	4	8	no	—
726	C₄×D₄	—	4	8	no	—
727	C₄×D₄	—	4	8	no	—
728	#117	—	4	4	no	—
729	#117	—	4	4	no	—
730	#117	—	4	4	no	—
731	#117	—	4	4	no	—
732	#117	—	4	8	no	—
733	#117	—	4	8	no	—
734	#117	—	4	4	no	—
735	#117	—	4	8	no	—
736	#117	—	4	4	no	—
737	C₂×C₄⋊C₄	—	2	8	no	—
738	C₂×C₄⋊C₄	—	4	8	no	—
739	C₂×C₄⋊C₄	—	4	8	no	—
740	C₂×C₄⋊C₄	—	4	4	no	—
741	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
742	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
743	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
744	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
745	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
746	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
747	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
748	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
749	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
750	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
751	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
752	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
753	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
754	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
755	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
756	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
757	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
758	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
759	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
760	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
761	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
762	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
763	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
764	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
765	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
766	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
767	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
768	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
769	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
770	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
771	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
772	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
773	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
774	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
775	C₂×C₂²⋊C₄	—	2	8	no	—
776	C₂×C₂²⋊C₄	—	2	8	no	—
777	C₂×C₂²⋊C₄	—	2	8	no	—
778	C₂×C₂²⋊C₄	—	4	8	no	—
779	C₂×C₂²⋊C₄	—	4	8	no	—
780	C₂×C₂²⋊C₄	—	4	8	no	—
781	C₂×C₂²⋊C₄	—	4	8	no	—
782	C₂×C₂²⋊C₄	—	4	8	no	—
783	C₂×C₂²⋊C₄	—	4	8	no	—
784	C₂×C₂²⋊C₄	—	4	4	no	—
785	C₂×C₂²⋊C₄	—	4	4	no	—
786	C₂×C₂²⋊C₄	—	4	8	no	—
787	C₂×C₂²⋊C₄	—	4	2	no	—
788	C₂×C₂²⋊C₄	—	4	2	no	—
789	C₂×C₂²⋊C₄	—	4	2	no	—
790	C₂×C₂²⋊C₄	—	4	2	no	—
791	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
792	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
793	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
794	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
795	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
796	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
797	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
798	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
799	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
800	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
801	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
802	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
803	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
804	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
805	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
806	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
807	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
808	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
809	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
810	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
811	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
812	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
813	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
814	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
815	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
816	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
817	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
818	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
819	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
820	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
821	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
822	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
823	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
824	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
825	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
826	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
827	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
828	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
829	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
830	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
831	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
832	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
833	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
834	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
835	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
836	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
837	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
838	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
839	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
840	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
841	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
842	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
843	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
844	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
845	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
846	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
847	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
848	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
849	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
850	C₂×C₄²	—	2	8	no	—
851	C₂×C₄²	—	4	4	no	—
852	C₂×C₄²	C₂⁴	1	2	yes	—
853	C₂×C₄²	C₂⁴	1	2	yes	—
854	C₂×C₄²	C₂⁴	1	2	yes	—
855	C₂×C₄²	C₂⁴	1	2	yes	—
856	C₂×C₄²	C₂⁴	1	4	yes	—
857	C₂×C₄²	C₂⁴	1	4	yes	—
858	C₂×C₄²	C₂⁴	1	4	yes	—
859	C₂×C₄²	C₂⁴	1	4	yes	—
860	C₂×C₄²	C₂⁴	1	4	yes	—
861	C₂×C₄²	C₂⁴	1	4	yes	—
862	C₂×C₄²	C₂⁴	1	4	yes	—
863	C₂×C₄²	C₂⁴	1	4	yes	—
864	#95	C₂⁴	1	4	yes	—
865	#95	C₂⁴	1	4	yes	—
866	#95	C₂⁴	1	4	yes	—
867	#95	C₂⁴	1	4	yes	—
868	#95	C₂⁴	1	4	yes	—
869	#95	C₂⁴	1	4	yes	—
870	#95	C₂⁴	1	4	yes	—
871	#95	C₂⁴	1	4	yes	—
872	#95	C₂⁴	1	4	yes	—
873	#95	C₂⁴	1	4	yes	—
874	#95	C₂⁴	1	4	yes	—
875	#95	C₂⁴	1	4	yes	—
876	#95	C₂⁴	1	4	yes	—
877	#95	C₂⁴	1	4	yes	—
878	#95	C₂⁴	1	4	yes	—
879	#95	C₂⁴	1	4	yes	—
880	#95	C₂⁴	1	4	yes	—
881	#95	C₂⁴	1	4	yes	—
882	#95	C₂⁴	1	4	yes	—
883	#95	C₂⁴	1	4	yes	—
884	#95	C₂⁴	1	4	yes	—
885	#95	C₂⁴	1	4	yes	—
886	#95	C₂⁴	1	4	yes	—
887	#95	C₂⁴	1	4	yes	—
888	#95	C₂⁴	1	2	yes	—
889	#95	C₂⁴	1	2	yes	—
890	#95	C₂⁴	1	2	yes	—
891	#95	C₂⁴	1	2	yes	—
892	#95	C₂⁴	1	4	yes	—
893	#95	C₂⁴	1	4	yes	—
894	#95	C₂⁴	1	4	yes	—
895	#95	C₂⁴	1	4	yes	—
896	#95	C₂⁴	1	4	yes	—
897	#95	C₂⁴	1	4	yes	—
898	#95	C₂⁴	1	4	yes	—
899	#95	C₂⁴	1	4	yes	—
900	#95	C₂⁴	1	4	yes	—
901	#95	C₂⁴	1	4	yes	—
902	#95	C₂⁴	1	4	yes	—
903	#95	C₂⁴	1	4	yes	—
904	#95	C₂⁴	1	4	yes	—
905	#95	C₂⁴	1	4	yes	—
906	#95	C₂⁴	1	4	yes	—
907	#95	C₂⁴	1	4	yes	—
908	#95	C₂⁴	1	2	yes	—
909	#95	C₂⁴	1	2	yes	—
910	#95	C₂⁴	1	2	yes	—
911	#95	C₂⁴	1	2	yes	—
912	#95	C₂⁴	1	4	yes	—
913	#95	C₂⁴	1	4	yes	—
914	#95	C₂⁴	1	4	yes	—
915	#95	C₂⁴	1	4	yes	—
916	C₂⁴	—	2	2	no	—
917	C₂⁴	—	2	2	no	—
918	C₂⁴	—	2	4	no	—
919	C₂⁴	—	2	4	no	—
920	C₂⁴	—	2	8	no	—
921	C₂⁴	—	2	8	no	—
922	C₂⁴	—	2	8	no	—
923	C₂⁴	—	2	4	no	—
924	C₂⁴	—	2	8	no	—
925	C₂⁴	—	4	16	no	—
926	C₂⁴	—	4	1	no	—
927	C₂⁴	—	4	1	no	—
928	C₂⁴	—	4	2	no	—
929	C₂⁴	—	4	2	no	—
930	C₂⁴	—	4	1	no	—
931	C₂⁴	—	4	1	no	—
932	C₂⁴	—	4	32	no	—
933	C₂⁴	—	4	4	no	—
934	C₂⁴	—	4	4	no	—
935	C₂⁴	—	4	4	no	—
936	C₂⁴	—	4	4	no	—
937	C₂⁴	—	4	2	no	—
938	C₂⁴	—	4	2	no	—
939	C₂⁴	—	4	4	no	—
940	C₂⁴	—	4	32	no	—
941	C₂⁴	—	4	32	no	—
942	C₂⁴	C₂×#41	1	4	yes	—
943	C₂⁴	C₂×#41	1	8	yes	—
944	C₂⁴	C₂×#41	1	8	yes	—
945	C₂⁴	C₂×#41	1	4	yes	—
946	C₂⁴	C₂×#41	1	4	yes	—
947	C₂⁴	C₂⁵	1	4	yes	—
948	C₂⁴	C₂⁵	1	1	yes	characteristic
949	C₂⁴	C₂⁵	1	1	yes	characteristic
950	C₂⁴	C₂⁵	1	2	yes	—
951	C₂⁴	C₂⁵	1	1	yes	characteristic
952	C₂⁴	C₂⁵	1	2	yes	—
953	C₂×Q₈	—	4	2	no	—
954	C₂×Q₈	—	4	4	no	—
955	C₂×Q₈	—	4	2	no	—
956	C₂×Q₈	—	4	4	no	—
957	C₂×D₄	—	2	8	no	—
958	C₂×D₄	—	2	8	no	—
959	C₂×D₄	—	2	8	no	—
960	C₂×D₄	—	2	8	no	—
961	C₂×D₄	—	2	8	no	—
962	C₂×D₄	—	2	8	no	—
963	C₂×D₄	—	2	8	no	—
964	C₂×D₄	—	2	8	no	—
965	C₂×D₄	—	2	8	no	—
966	C₂×D₄	—	2	8	no	—
967	C₂×D₄	—	4	2	no	—
968	C₂×D₄	—	4	4	no	—
969	C₂×D₄	—	4	4	no	—
970	C₂×D₄	—	4	4	no	—
971	C₂×D₄	—	4	4	no	—
972	C₂×D₄	—	4	4	no	—
973	C₂×D₄	—	4	4	no	—
974	C₂×D₄	—	4	4	no	—
975	C₂×D₄	—	4	4	no	—
976	C₂×D₄	—	4	4	no	—
977	C₂×D₄	—	4	4	no	—
978	C₂×D₄	—	4	2	no	—
979	C₂×D₄	—	8	16	no	—
980	C₂×D₄	—	8	16	no	—
981	C₂×D₄	—	8	16	no	—
982	C₂²×C₄	—	2	32	no	—
983	C₂²×C₄	—	2	4	no	—
984	C₂²×C₄	—	2	4	no	—
985	C₂²×C₄	—	2	2	no	—
986	C₂²×C₄	—	2	2	no	—
987	C₂²×C₄	—	2	2	no	—
988	C₂²×C₄	—	2	2	no	—
989	C₂²×C₄	—	2	4	no	—
990	C₂²×C₄	—	2	4	no	—
991	C₂²×C₄	—	2	4	no	—
992	C₂²×C₄	—	2	4	no	—
993	C₂²×C₄	—	2	4	no	—
994	C₂²×C₄	—	2	8	no	—
995	C₂²×C₄	—	2	8	no	—
996	C₂²×C₄	—	2	8	no	—
997	C₂²×C₄	—	2	8	no	—
998	C₂²×C₄	—	2	4	no	—
999	C₂²×C₄	—	2	4	no	—
1000	C₂²×C₄	—	2	4	no	—
1001	C₂²×C₄	—	2	4	no	—
1002	C₂²×C₄	—	2	4	no	—
1003	C₂²×C₄	—	2	8	no	—
1004	C₂²×C₄	—	2	4	no	—
1005	C₂²×C₄	—	2	4	no	—
1006	C₂²×C₄	—	2	4	no	—
1007	C₂²×C₄	—	2	4	no	—
1008	C₂²×C₄	—	2	4	no	—
1009	C₂²×C₄	—	2	4	no	—
1010	C₂²×C₄	—	2	8	no	—
1011	C₂²×C₄	—	2	8	no	—
1012	C₂²×C₄	—	2	8	no	—
1013	C₂²×C₄	—	2	8	no	—
1014	C₂²×C₄	—	2	8	no	—
1015	C₂²×C₄	—	2	8	no	—
1016	C₂²×C₄	—	4	4	no	—
1017	C₂²×C₄	—	4	4	no	—
1018	C₂²×C₄	—	4	4	no	—
1019	C₂²×C₄	—	4	4	no	—
1020	C₂²×C₄	—	4	2	no	—
1021	C₂²×C₄	—	4	2	no	—
1022	C₂²×C₄	—	4	2	no	—
1023	C₂²×C₄	—	4	2	no	—
1024	C₂²×C₄	—	4	4	no	—
1025	C₂²×C₄	—	4	4	no	—
1026	C₂²×C₄	—	4	4	no	—
1027	C₂²×C₄	—	4	4	no	—
1028	C₂²×C₄	—	4	4	no	—
1029	C₂²×C₄	—	4	4	no	—
1030	C₂²×C₄	—	4	4	no	—
1031	C₂²×C₄	—	4	4	no	—
1032	C₂²×C₄	—	4	4	no	—
1033	C₂²×C₄	—	4	2	no	—
1034	C₂²×C₄	—	4	2	no	—
1035	C₂²×C₄	—	4	4	no	—
1036	C₂²×C₄	—	4	4	no	—
1037	C₂²×C₄	—	4	4	no	—
1038	C₂²×C₄	—	4	4	no	—
1039	C₂²×C₄	—	4	4	no	—
1040	C₂²×C₄	—	4	4	no	—
1041	C₂²×C₄	—	4	32	no	—
1042	C₂²×C₄	—	4	32	no	—
1043	C₂²×C₄	—	4	32	no	—
1044	C₂²×C₄	—	4	64	no	—
1045	C₂²×C₄	—	4	32	no	—
1046	C₂²×C₄	—	4	16	no	—
1047	C₂²×C₄	H(5,𝔽₂)	1	4	yes	—
1048	C₂²×C₄	H(5,𝔽₂)	1	4	yes	—
1049	C₂²×C₄	C₂⁵	1	4	yes	—
1050	C₂²×C₄	C₂⁵	1	4	yes	—
1051	C₂²×C₄	C₂⁵	1	4	yes	—
1052	C₂²×C₄	C₂⁵	1	2	yes	—
1053	C₂²×C₄	C₂⁵	1	2	yes	—
1054	C₂²×C₄	C₂⁵	1	4	yes	—
1055	C₂²×C₄	C₂⁵	1	4	yes	—
1056	C₂²×C₄	C₂⁵	1	2	yes	—
1057	C₂²×C₄	C₂⁵	1	4	yes	—
1058	C₂²×C₄	C₂⁵	1	2	yes	—
1059	C₂²×C₄	C₂⁵	1	4	yes	—
1060	C₂²×C₄	C₂⁵	1	2	yes	—
1061	C₂²×C₄	C₂⁵	1	2	yes	—
1062	C₂²×C₄	C₂⁵	1	4	yes	—
1063	C₂²×C₄	C₂⁵	1	4	yes	—
1064	C₂²×C₄	C₂⁵	1	2	yes	—
1065	C₂²×C₄	C₂⁵	1	2	yes	—
1066	C₄⋊C₄	—	2	8	no	—
1067	C₄⋊C₄	—	2	8	no	—
1068	C₄⋊C₄	—	2	8	no	—
1069	C₄⋊C₄	—	2	8	no	—
1070	C₄⋊C₄	—	2	8	no	—
1071	C₄⋊C₄	—	2	8	no	—
1072	C₄⋊C₄	—	4	2	no	—
1073	C₄⋊C₄	—	4	2	no	—
1074	C₄⋊C₄	—	4	2	no	—
1075	C₄⋊C₄	—	4	2	no	—
1076	C₄⋊C₄	—	4	4	no	—
1077	C₄⋊C₄	—	4	4	no	—
1078	C₄⋊C₄	—	4	4	no	—
1079	C₄⋊C₄	—	4	4	no	—
1080	C₄⋊C₄	—	4	4	no	—
1081	C₄⋊C₄	—	4	4	no	—
1082	C₄⋊C₄	—	4	4	no	—
1083	C₄⋊C₄	—	4	4	no	—
1084	C₄⋊C₄	—	4	4	no	—
1085	C₄⋊C₄	—	4	2	no	—
1086	C₄⋊C₄	—	4	4	no	—
1087	C₄⋊C₄	—	4	4	no	—
1088	C₄⋊C₄	—	4	2	no	—
1089	C₄⋊C₄	—	4	2	no	—
1090	C₄⋊C₄	—	4	4	no	—
1091	C₄⋊C₄	—	4	4	no	—
1092	C₄⋊C₄	—	4	4	no	—
1093	C₄⋊C₄	—	4	4	no	—
1094	C₄⋊C₄	—	4	4	no	—
1095	C₄⋊C₄	—	4	4	no	—
1096	C₄⋊C₄	—	4	4	no	—
1097	C₄⋊C₄	—	4	2	no	—
1098	C₄⋊C₄	—	4	4	no	—
1099	C₄⋊C₄	—	4	4	no	—
1100	C₂²⋊C₄	—	2	8	no	—
1101	C₂²⋊C₄	—	2	8	no	—
1102	C₂²⋊C₄	—	2	8	no	—
1103	C₂²⋊C₄	—	2	8	no	—
1104	C₂²⋊C₄	—	2	8	no	—
1105	C₂²⋊C₄	—	2	8	no	—
1106	C₂²⋊C₄	—	2	8	no	—
1107	C₂²⋊C₄	—	2	8	no	—
1108	C₂²⋊C₄	—	2	8	no	—
1109	C₂²⋊C₄	—	2	8	no	—
1110	C₂²⋊C₄	—	2	8	no	—
1111	C₂²⋊C₄	—	2	8	no	—
1112	C₂²⋊C₄	—	2	8	no	—
1113	C₂²⋊C₄	—	2	8	no	—
1114	C₂²⋊C₄	—	2	8	no	—
1115	C₂²⋊C₄	—	2	8	no	—
1116	C₂²⋊C₄	—	2	8	no	—
1117	C₂²⋊C₄	—	2	8	no	—
1118	C₂²⋊C₄	—	4	4	no	—
1119	C₂²⋊C₄	—	4	4	no	—
1120	C₂²⋊C₄	—	4	4	no	—
1121	C₂²⋊C₄	—	4	4	no	—
1122	C₂²⋊C₄	—	4	4	no	—
1123	C₂²⋊C₄	—	4	4	no	—
1124	C₂²⋊C₄	—	4	4	no	—
1125	C₂²⋊C₄	—	4	4	no	—
1126	C₂²⋊C₄	—	4	4	no	—
1127	C₂²⋊C₄	—	4	4	no	—
1128	C₂²⋊C₄	—	4	4	no	—
1129	C₂²⋊C₄	—	4	4	no	—
1130	C₂²⋊C₄	—	4	1	no	—
1131	C₂²⋊C₄	—	4	2	no	—
1132	C₂²⋊C₄	—	4	1	no	—
1133	C₂²⋊C₄	—	4	1	no	—
1134	C₂²⋊C₄	—	4	2	no	—
1135	C₂²⋊C₄	—	4	1	no	—
1136	C₂²⋊C₄	—	4	2	no	—
1137	C₂²⋊C₄	—	4	2	no	—
1138	C₂²⋊C₄	—	4	1	no	—
1139	C₂²⋊C₄	—	4	2	no	—
1140	C₂²⋊C₄	—	4	1	no	—
1141	C₂²⋊C₄	—	4	2	no	—
1142	C₂²⋊C₄	—	4	4	no	—
1143	C₂²⋊C₄	—	4	2	no	—
1144	C₂²⋊C₄	—	4	4	no	—
1145	C₂²⋊C₄	—	4	2	no	—
1146	C₂²⋊C₄	—	4	4	no	—
1147	C₂²⋊C₄	—	4	2	no	—
1148	C₂²⋊C₄	—	4	4	no	—
1149	C₂²⋊C₄	—	4	4	no	—
1150	C₂²⋊C₄	—	4	4	no	—
1151	C₂²⋊C₄	—	4	4	no	—
1152	C₂²⋊C₄	—	4	4	no	—
1153	C₂²⋊C₄	—	4	4	no	—
1154	C₂²⋊C₄	—	4	4	no	—
1155	C₂²⋊C₄	—	4	4	no	—
1156	C₂²⋊C₄	—	4	4	no	—
1157	C₂²⋊C₄	—	4	4	no	—
1158	C₂²⋊C₄	—	4	4	no	—
1159	C₄²	—	2	4	no	—
1160	C₄²	—	2	4	no	—
1161	C₄²	—	2	4	no	—
1162	C₄²	—	2	4	no	—
1163	C₄²	—	4	4	no	—
1164	C₄²	—	4	4	no	—
1165	C₄²	—	4	4	no	—
1166	C₄²	—	4	4	no	—
1167	C₄²	—	4	4	no	—
1168	C₄²	—	4	4	no	—
1169	C₄²	—	4	4	no	—
1170	C₄²	—	4	4	no	—
1171	C₂³	—	2	2	no	—
1172	C₂³	—	2	2	no	—
1173	C₂³	—	2	4	no	—
1174	C₂³	—	2	4	no	—
1175	C₂³	—	2	1	no	—
1176	C₂³	—	2	1	no	—
1177	C₂³	—	2	1	no	—
1178	C₂³	—	2	1	no	—
1179	C₂³	—	2	2	no	—
1180	C₂³	—	2	2	no	—
1181	C₂³	—	2	4	no	—
1182	C₂³	—	2	4	no	—
1183	C₂³	—	2	4	no	—
1184	C₂³	—	2	4	no	—
1185	C₂³	—	2	8	no	—
1186	C₂³	—	2	16	no	—
1187	C₂³	—	2	16	no	—
1188	C₂³	—	2	16	no	—
1189	C₂³	—	2	16	no	—
1190	C₂³	—	2	4	no	—
1191	C₂³	—	2	4	no	—
1192	C₂³	—	2	4	no	—
1193	C₂³	—	2	4	no	—
1194	C₂³	—	2	4	no	—
1195	C₂³	—	2	4	no	—
1196	C₂³	—	2	4	no	—
1197	C₂³	—	4	4	no	—
1198	C₂³	—	4	8	no	—
1199	C₂³	—	4	4	no	—
1200	C₂³	—	4	8	no	—
1201	C₂³	—	4	8	no	—
1202	C₂³	—	4	8	no	—
1203	C₂³	—	4	8	no	—
1204	C₂³	—	4	16	no	—
1205	C₂³	—	4	8	no	—
1206	C₂³	—	4	16	no	—
1207	C₂³	—	4	8	no	—
1208	C₂³	—	4	8	no	—
1209	C₂³	—	4	16	no	—
1210	C₂³	—	4	8	no	—
1211	C₂³	—	4	16	no	—
1212	C₂³	—	4	128	no	—
1213	C₂³	—	4	8	no	—
1214	C₂³	—	4	8	no	—
1215	C₂³	—	4	8	no	—
1216	C₂³	—	8	4	no	—
1217	C₂³	—	8	4	no	—
1218	C₂³	—	8	8	no	—
1219	C₂³	—	8	8	no	—
1220	C₂³	C₂²×#41	1	2	yes	—
1221	C₂³	C₂²×#41	1	2	yes	—
1222	C₂³	C₂²×#41	1	4	yes	—
1223	C₂³	C₂²×#41	1	2	yes	—
1224	C₂³	C₂²×#41	1	4	yes	—
1225	C₂³	C₂×H(5,𝔽₂)	1	2	yes	—
1226	C₂³	C₂×H(5,𝔽₂)	1	2	yes	—
1227	C₂³	#585	1	8	yes	—
1228	C₂³	C₂⁶	1	1	yes	characteristic
1229	Q₈	—	8	4	no	—
1230	Q₈	—	16	2	no	—
1231	D₄	—	4	16	no	—
1232	D₄	—	4	16	no	—
1233	D₄	—	8	8	no	—
1234	D₄	—	8	8	no	—
1235	D₄	—	8	8	no	—
1236	D₄	—	8	8	no	—
1237	D₄	—	8	4	no	—
1238	D₄	—	16	2	no	—
1239	C₂×C₄	—	2	16	no	—
1240	C₂×C₄	—	2	16	no	—
1241	C₂×C₄	—	2	2	no	—
1242	C₂×C₄	—	2	2	no	—
1243	C₂×C₄	—	2	2	no	—
1244	C₂×C₄	—	2	2	no	—
1245	C₂×C₄	—	2	8	no	—
1246	C₂×C₄	—	2	8	no	—
1247	C₂×C₄	—	2	4	no	—
1248	C₂×C₄	—	2	4	no	—
1249	C₂×C₄	—	2	4	no	—
1250	C₂×C₄	—	2	4	no	—
1251	C₂×C₄	—	2	2	no	—
1252	C₂×C₄	—	2	2	no	—
1253	C₂×C₄	—	2	2	no	—
1254	C₂×C₄	—	2	2	no	—
1255	C₂×C₄	—	2	4	no	—
1256	C₂×C₄	—	2	2	no	—
1257	C₂×C₄	—	2	2	no	—
1258	C₂×C₄	—	2	4	no	—
1259	C₂×C₄	—	2	4	no	—
1260	C₂×C₄	—	2	4	no	—
1261	C₂×C₄	—	2	4	no	—
1262	C₂×C₄	—	2	4	no	—
1263	C₂×C₄	—	2	4	no	—
1264	C₂×C₄	—	2	4	no	—
1265	C₂×C₄	—	2	4	no	—
1266	C₂×C₄	—	2	4	no	—
1267	C₂×C₄	—	2	4	no	—
1268	C₂×C₄	—	2	4	no	—
1269	C₂×C₄	—	2	4	no	—
1270	C₂×C₄	—	2	4	no	—
1271	C₂×C₄	—	2	4	no	—
1272	C₂×C₄	—	2	4	no	—
1273	C₂×C₄	—	2	4	no	—
1274	C₂×C₄	—	2	4	no	—
1275	C₂×C₄	—	2	4	no	—
1276	C₂×C₄	—	2	4	no	—
1277	C₂×C₄	—	2	4	no	—
1278	C₂×C₄	—	2	4	no	—
1279	C₂×C₄	—	2	4	no	—
1280	C₂×C₄	—	2	4	no	—
1281	C₂×C₄	—	2	4	no	—
1282	C₂×C₄	—	2	4	no	—
1283	C₂×C₄	—	2	4	no	—
1284	C₂×C₄	—	2	4	no	—
1285	C₂×C₄	—	2	4	no	—
1286	C₂×C₄	—	4	16	no	—
1287	C₂×C₄	—	4	16	no	—
1288	C₂×C₄	—	4	16	no	—
1289	C₂×C₄	—	4	16	no	—
1290	C₂×C₄	—	4	8	no	—
1291	C₂×C₄	—	4	8	no	—
1292	C₂×C₄	—	4	8	no	—
1293	C₂×C₄	—	4	8	no	—
1294	C₂×C₄	—	8	4	no	—
1295	C₂×C₄	—	8	4	no	—
1296	C₂×C₄	—	8	8	no	—
1297	C₂×C₄	—	8	8	no	—
1298	C₂×C₄	—	8	4	no	—
1299	C₂×C₄	—	8	4	no	—
1300	C₂×C₄	—	8	4	no	—
1301	C₂×C₄	—	8	4	no	—
1302	C₂×C₄	—	8	8	no	—
1303	C₂×C₄	—	16	4	no	—
1304	C₂×C₄	C₂×H(5,𝔽₂)	1	4	yes	—
1305	C₂×C₄	C₂×H(5,𝔽₂)	1	4	yes	—
1306	C₂²	—	2	4	no	—
1307	C₂²	—	2	8	no	—
1308	C₂²	—	2	4	no	—
1309	C₂²	—	2	4	no	—
1310	C₂²	—	2	4	no	—
1311	C₂²	—	2	4	no	—
1312	C₂²	—	2	8	no	—
1313	C₂²	—	2	2	no	—
1314	C₂²	—	2	2	no	—
1315	C₂²	—	2	4	no	—
1316	C₂²	—	2	4	no	—
1317	C₂²	—	2	4	no	—
1318	C₂²	—	2	4	no	—
1319	C₂²	—	2	4	no	—
1320	C₂²	—	4	16	no	—
1321	C₂²	—	4	32	no	—
1322	C₂²	—	4	32	no	—
1323	C₂²	—	4	16	no	—
1324	C₂²	—	4	16	no	—
1325	C₂²	—	4	2	no	—
1326	C₂²	—	4	2	no	—
1327	C₂²	—	4	4	no	—
1328	C₂²	—	4	2	no	—
1329	C₂²	—	4	2	no	—
1330	C₂²	—	4	4	no	—
1331	C₂²	—	4	4	no	—
1332	C₂²	—	4	4	no	—
1333	C₂²	—	4	4	no	—
1334	C₂²	—	4	4	no	—
1335	C₂²	—	4	4	no	—
1336	C₂²	—	4	4	no	—
1337	C₂²	—	4	4	no	—
1338	C₂²	—	16	8	no	—
1339	C₂²	#3490	1	4	yes	—
1340	C₂²	#3491	1	8	yes	—
1341	C₂²	C₂³×#41	1	1	yes	characteristic
1342	C₂²	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1343	C₂²	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1344	C₂²	C₂×#585	1	4	yes	—
1345	C₄	—	2	4	no	—
1346	C₄	—	2	4	no	—
1347	C₄	—	4	2	no	—
1348	C₄	—	4	2	no	—
1349	C₄	—	4	4	no	—
1350	C₄	—	4	2	no	—
1351	C₄	—	4	2	no	—
1352	C₄	—	4	4	no	—
1353	C₄	—	4	4	no	—
1354	C₄	—	4	4	no	—
1355	C₄	—	4	4	no	—
1356	C₄	—	4	4	no	—
1357	C₄	—	4	4	no	—
1358	C₄	—	4	4	no	—
1359	C₄	—	4	4	no	—
1360	C₄	—	4	2	no	—
1361	C₄	—	4	2	no	—
1362	C₂	—	2	8	no	—
1363	C₂	—	2	4	no	—
1364	C₂	—	4	2	no	—
1365	C₂	—	4	2	no	—
1366	C₂	—	4	4	no	—
1367	C₂	—	8	4	no	—
1368	C₂	#62729	1	2	yes	—
1369	C₂	C₂×#3490	1	1	yes	characteristic
1370	C₂	C₂×#3491	1	2	yes	—
1371	C₂	#62821	1	2	yes	—

	subgroup	G/H
center, commutator, Frattini, socle, cosocle	C₂³	C₂⁶
prime radical	#37436	C₂
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. #59285	C₂	semidirect
2. #59268	C₂	semidirect
3. #59267	C₂	semidirect
4. #45461	C₂	semidirect
5. #45460	C₂	semidirect
6. #45459	C₂	semidirect
7. #37977	C₂	semidirect
8. #37976	C₂	semidirect
9. #37965	C₂	semidirect
10. #37964	C₂	semidirect
11. #37849	C₂	semidirect
12. #37661	C₂	semidirect
13. #37475	C₂	semidirect
15. #36974	C₂	semidirect
16. #36974	C₂	semidirect
17. C₂×#2849	C₂	semidirect
18. #36169	C₂	semidirect
19. #36109	C₂	semidirect
20. #35118	C₂	semidirect
21. #35094	C₂	semidirect
22. #34356	C₂	semidirect
23. C₂×#2280	C₂	semidirect
25. C₂×#539	C₂²	semidirect
26. C₂×#529	C₂²	semidirect
27. C₂²×#123	C₂²	semidirect
28. C₂²×#123	C₂²	semidirect
30. C₂²×#117	C₂²	semidirect
31. C₂²×#117	C₂²	semidirect
32. #2855	C₂²	semidirect
33. #2854	C₂²	semidirect
34. #2853	C₂²	semidirect
39. #2849	C₂²	semidirect
40. #2849	C₂²	semidirect
41. #2849	C₂²	semidirect
42. #2849	C₂²	semidirect
43. #2842	C₂²	semidirect
44. #2842	C₂²	semidirect
45. #2840	C₂²	semidirect
48. #2771	C₂²	semidirect
49. #2771	C₂²	semidirect
50. #2765	C₂²	semidirect
51. #2765	C₂²	semidirect
52. #2764	C₂²	semidirect
53. #2764	C₂²	semidirect
54. #2761	C₂²	semidirect
55. #2761	C₂²	semidirect
56. #2760	C₂²	semidirect
57. #2760	C₂²	semidirect
58. #2752	C₂²	semidirect
59. #2752	C₂²	semidirect
60. #2751	C₂²	semidirect
61. #2751	C₂²	semidirect
62. #2750	C₂²	semidirect
63. #2750	C₂²	semidirect
64. #2749	C₂²	semidirect
65. #2749	C₂²	semidirect
66. #2746	C₂²	semidirect
67. #2745	C₂²	semidirect
68. #2744	C₂²	semidirect
69. #2743	C₂²	semidirect
70. #2743	C₂²	semidirect
71. #2743	C₂²	semidirect
72. #2740	C₂²	semidirect
73. #2739	C₂²	semidirect
74. #2738	C₂²	semidirect
75. #2737	C₂²	semidirect
76. #2707	C₂²	semidirect
77. #2706	C₂²	semidirect
78. #2705	C₂²	semidirect
79. #2696	C₂²	semidirect
80. #2695	C₂²	semidirect
81. #2694	C₂²	semidirect
82. #2693	C₂²	semidirect
83. #2687	C₂²	semidirect
84. #2627	C₂²	semidirect
85. #2626	C₂²	semidirect
86. #2626	C₂²	semidirect
87. #2626	C₂²	semidirect
88. #2626	C₂²	semidirect
89. #2623	C₂²	semidirect
91. #2618	C₂²	semidirect
95. #2611	C₂²	semidirect
96. #2611	C₂²	semidirect
97. #2610	C₂²	semidirect
98. #2610	C₂²	semidirect
99. #2609	C₂²	semidirect
100. #2609	C₂²	semidirect
101. #2601	C₂²	semidirect
102. #2601	C₂²	semidirect
103. #2599	C₂²	semidirect
104. #2599	C₂²	semidirect
105. #2598	C₂²	semidirect
106. #2598	C₂²	semidirect
107. #2576	C₂²	semidirect
108. #2575	C₂²	semidirect
109. #2573	C₂²	semidirect
110. #2572	C₂²	semidirect
111. #2569	C₂²	semidirect
112. #2564	C₂²	semidirect
113. #2558	C₂²	semidirect
114. #2557	C₂²	semidirect
115. #2554	C₂²	semidirect
116. #2553	C₂²	semidirect
117. #2527	C₂²	semidirect
118. #2526	C₂²	semidirect
119. #2516	C₂²	semidirect
120. #2515	C₂²	semidirect
121. #2510	C₂²	semidirect
122. #2510	C₂²	semidirect
123. #2505	C₂²	semidirect
124. #2505	C₂²	semidirect
125. #2498	C₂²	semidirect
126. #2493	C₂²	semidirect
127. #2493	C₂²	semidirect
128. #2493	C₂²	semidirect
129. #2493	C₂²	semidirect
130. #2488	C₂²	semidirect
131. #2488	C₂²	semidirect
132. #2488	C₂²	semidirect
134. #2481	C₂²	semidirect
135. #2481	C₂²	semidirect
136. #2480	C₂²	semidirect
137. #2480	C₂²	semidirect
138. #2479	C₂²	semidirect
139. #2479	C₂²	semidirect
140. #2477	C₂²	semidirect
141. #2477	C₂²	semidirect
142. #2475	C₂²	semidirect
143. #2475	C₂²	semidirect
144. #2473	C₂²	semidirect
145. #2473	C₂²	semidirect
146. #2472	C₂²	semidirect
147. #2471	C₂²	semidirect
148. #2471	C₂²	semidirect
149. #2471	C₂²	semidirect
150. #2470	C₂²	semidirect
151. #2458	C₂²	semidirect
152. #2457	C₂²	semidirect
153. #2442	C₂²	semidirect
154. #2438	C₂²	semidirect
157. #2437	C₂²	semidirect
158. #2437	C₂²	semidirect
159. #2437	C₂²	semidirect
160. #2425	C₂²	semidirect
161. #2425	C₂²	semidirect
162. #2419	C₂²	semidirect
163. #2419	C₂²	semidirect
164. #2419	C₂²	semidirect
165. #2418	C₂²	semidirect
166. #2417	C₂²	semidirect
168. #2412	C₂²	semidirect
172. #2375	C₂²	semidirect
173. #2375	C₂²	semidirect
174. #2368	C₂²	semidirect
175. #2360	C₂²	semidirect
176. #2359	C₂²	semidirect
179. #2358	C₂²	semidirect
180. #2353	C₂²	semidirect
181. #2352	C₂²	semidirect
182. #2343	C₂²	semidirect
184. #2342	C₂²	semidirect
185. #2342	C₂²	semidirect
187. D₄×C₂²⋊C₄	C₂²	semidirect
188. #2322	C₂²	semidirect
191. #2321	C₂²	semidirect
192. #2321	C₂²	semidirect
193. #2313	C₂²	semidirect
194. #2312	C₂²	semidirect
195. #2312	C₂²	semidirect
196. #2309	C₂²	semidirect
197. #2308	C₂²	semidirect
198. C₄×#123	C₂²	semidirect
200. C₂×#386	C₂²	semidirect
202. C₂×#385	C₂²	semidirect
203. #2283	C₂²	semidirect
206. #2280	C₂²	semidirect
207. #2280	C₂²	semidirect
208. #2280	C₂²	semidirect
209. #2280	C₂²	semidirect
210. C₂×#381	C₂²	semidirect
211. C₂×#381	C₂²	semidirect
212. C₂×#381	C₂²	semidirect
213. C₂×#381	C₂²	semidirect
214. C₂×#380	C₂²	semidirect
218. C₂×C₄×C₂²⋊C₄	C₂²	semidirect
235. C₂×#126	C₂³	semidirect
236. C₂×#126	C₂³	semidirect
237. C₂×#125	C₂³	semidirect
238. C₂×#125	C₂³	semidirect
239. C₂×#124	C₂³	semidirect
251. C₂×#123	C₂³	semidirect
256. C₂×C₂²⋊Q₈	C₂³	semidirect
265. C₂×C₄×Q₈	C₂³	semidirect
270. C₂×C₄×D₄	C₂³	semidirect
281. C₂×#117	C₂³	semidirect
304. #401	C₂³	semidirect
305. #401	C₂³	semidirect
306. #400	C₂³	semidirect
307. #400	C₂³	semidirect
308. #400	C₂³	semidirect
309. #400	C₂³	semidirect
310. #400	C₂³	semidirect
311. #400	C₂³	semidirect
312. #400	C₂³	semidirect
313. #400	C₂³	semidirect
314. #400	C₂³	semidirect
315. #400	C₂³	semidirect
316. #400	C₂³	semidirect
317. #400	C₂³	semidirect
318. #400	C₂³	semidirect
319. #400	C₂³	semidirect
320. #400	C₂³	semidirect
321. #400	C₂³	semidirect
328. #399	C₂³	semidirect
329. #399	C₂³	semidirect
330. #398	C₂³	semidirect
331. #398	C₂³	semidirect
332. #398	C₂³	semidirect
333. #398	C₂³	semidirect
334. #398	C₂³	semidirect
335. #398	C₂³	semidirect
336. #398	C₂³	semidirect
337. #398	C₂³	semidirect
338. #398	C₂³	semidirect
339. #398	C₂³	semidirect
346. #397	C₂³	semidirect
347. #397	C₂³	semidirect
348. #397	C₂³	semidirect
349. #397	C₂³	semidirect
350. #397	C₂³	semidirect
351. #397	C₂³	semidirect
352. #397	C₂³	semidirect
353. #397	C₂³	semidirect
354. #397	C₂³	semidirect
355. #397	C₂³	semidirect
364. #396	C₂³	semidirect
365. #396	C₂³	semidirect
366. #396	C₂³	semidirect
367. #396	C₂³	semidirect
368. #395	C₂³	semidirect
369. #395	C₂³	semidirect
378. #394	C₂³	semidirect
379. #394	C₂³	semidirect
380. #394	C₂³	semidirect
381. #394	C₂³	semidirect
388. #393	C₂³	semidirect
389. #393	C₂³	semidirect
396. #391	C₂³	semidirect
397. #391	C₂³	semidirect
398. #391	C₂³	semidirect
407. #390	C₂³	semidirect
408. #389	C₂³	semidirect
409. #389	C₂³	semidirect
410. #389	C₂³	semidirect
411. #389	C₂³	semidirect
412. #389	C₂³	semidirect
413. #389	C₂³	semidirect
430. #388	C₂³	semidirect
431. #388	C₂³	semidirect
432. #388	C₂³	semidirect
433. #388	C₂³	semidirect
434. #388	C₂³	semidirect
435. #388	C₂³	semidirect
436. #388	C₂³	semidirect
437. #388	C₂³	semidirect
438. #388	C₂³	semidirect
439. #388	C₂³	semidirect
440. #388	C₂³	semidirect
441. #388	C₂³	semidirect
442. #388	C₂³	semidirect
443. #388	C₂³	semidirect
444. #388	C₂³	semidirect
445. #388	C₂³	semidirect
446. #387	C₂³	semidirect
447. #387	C₂³	semidirect
448. #387	C₂³	semidirect
449. #387	C₂³	semidirect
450. #387	C₂³	semidirect
451. #387	C₂³	semidirect
452. #387	C₂³	semidirect
453. #387	C₂³	semidirect
454. #387	C₂³	semidirect
455. #387	C₂³	semidirect
456. #387	C₂³	semidirect
457. #387	C₂³	semidirect
458. #387	C₂³	semidirect
459. #387	C₂³	semidirect
460. #387	C₂³	semidirect
461. #387	C₂³	semidirect
462. #387	C₂³	semidirect
463. #387	C₂³	semidirect
464. #387	C₂³	semidirect
465. #387	C₂³	semidirect
466. #387	C₂³	semidirect
467. #387	C₂³	semidirect
468. #387	C₂³	semidirect
469. #387	C₂³	semidirect
502. #386	C₂³	semidirect
503. #386	C₂³	semidirect
532. #385	C₂³	semidirect
533. #385	C₂³	semidirect
534. #385	C₂³	semidirect
535. #385	C₂³	semidirect
536. #383	C₂³	semidirect
537. #383	C₂³	semidirect
538. #383	C₂³	semidirect
539. #383	C₂³	semidirect
540. #382	C₂³	semidirect
541. #382	C₂³	semidirect
542. #382	C₂³	semidirect
560. #381	C₂³	semidirect
561. #381	C₂³	semidirect
578. #380	C₂³	semidirect
579. #380	C₂³	semidirect
597. C₄×C₄⋊C₄	C₂³	semidirect
598. C₄×C₄⋊C₄	C₂³	semidirect
599. C₄×C₄⋊C₄	C₂³	semidirect
614. C₄×C₂²⋊C₄	C₂³	semidirect
615. C₄×C₂²⋊C₄	C₂³	semidirect
616. #376	C₂³	semidirect
617. #376	C₂³	semidirect

Maximal subgroups

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

subgroup	index
#59285	2
#59268	2
#59267	2
#45461	2
#45460	2
#45459	2
#37977	2
#37976	2
#37965	2
#37964	2
#37849	2
#37661	2
#37475	2
#37436	2
#36974	2
C₂×#2849	2
#36169	2
#36109	2
#35118	2
#35094	2
#34356	2
C₂×#2280	2