Subgroups — #6480569

Order 512.

1500 conjugacy classes of subgroups.

The subgroup lattice has 1263 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#35321	C₂	1	1	yes	maximal, characteristic, complemented
2	#35312	C₂	1	1	yes	maximal, characteristic
3	#33285	C₂	1	1	yes	maximal, characteristic, complemented
4	#33283	C₂	1	1	yes	maximal, characteristic, complemented
5	#33249	C₂	1	1	yes	maximal, characteristic, complemented
6	#33244	C₂	1	1	yes	maximal, characteristic, complemented
7	#30347	C₂	1	1	yes	maximal, characteristic, complemented
8	#30344	C₂	1	1	yes	maximal, characteristic, complemented
9	#30341	C₂	1	1	yes	maximal, characteristic, complemented
10	#30338	C₂	1	1	yes	maximal, characteristic, complemented
11	#29571	C₂	1	1	yes	maximal, characteristic, complemented
12	#29567	C₂	1	1	yes	maximal, characteristic, complemented
13	#29565	C₂	1	1	yes	maximal, characteristic, complemented
14	#29565	C₂	1	1	yes	maximal, characteristic, complemented
15	#28660	C₂	1	1	yes	maximal, characteristic, complemented
16	#28657	C₂	1	1	yes	maximal, characteristic, complemented
17	#28619	C₂	1	1	yes	maximal, characteristic, complemented
18	#28616	C₂	1	1	yes	maximal, characteristic, complemented
19	#25914	C₂	1	1	yes	maximal, characteristic, complemented
20	#25868	C₂	1	1	yes	maximal, characteristic
21	#25822	C₂	1	1	yes	maximal, characteristic, complemented
22	#25735	C₂	1	1	yes	maximal, characteristic
23	#24511	C₂	1	1	yes	maximal, characteristic
24	#24508	C₂	1	1	yes	maximal, characteristic, complemented
25	#24505	C₂	1	1	yes	maximal, characteristic
26	#24502	C₂	1	1	yes	maximal, characteristic, complemented
27	#22059	C₂	1	1	yes	maximal, characteristic
28	#22057	C₂	1	1	yes	maximal, characteristic
29	#22054	C₂	1	1	yes	maximal, characteristic, complemented
30	#22054	C₂	1	1	yes	maximal, characteristic, complemented
31	#20470	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#544	C₂²	1	1	yes	characteristic
33	C₂×#536	C₂²	1	1	yes	characteristic
34	C₂×#501	C₂²	1	1	yes	characteristic
35	C₂×#499	C₂²	1	1	yes	characteristic
36	C₂×#497	C₂²	1	1	yes	characteristic
37	C₂×#494	C₂²	1	1	yes	characteristic
38	C₂×#491	C₂²	1	1	yes	characteristic
39	C₂×#491	C₂²	1	1	yes	characteristic
40	C₂×#488	C₂²	1	1	yes	characteristic
41	C₂×#487	C₂²	1	1	yes	characteristic
42	C₂×#452	C₂²	1	1	yes	characteristic
43	C₂×#452	C₂²	1	1	yes	characteristic
44	C₂×#451	C₂²	1	1	yes	characteristic
45	C₂×#451	C₂²	1	1	yes	characteristic
46	C₂×#432	C₂²	1	1	yes	characteristic
47	C₂×#431	C₂²	1	1	yes	characteristic
48	#2863	C₂²	1	1	yes	characteristic
49	#2863	C₂²	1	1	yes	characteristic
50	#2862	C₂²	1	1	yes	characteristic
51	#2862	C₂²	1	1	yes	characteristic
52	#2861	C₂²	1	1	yes	characteristic
53	#2861	C₂²	1	1	yes	characteristic
54	#2855	C₂²	1	1	yes	characteristic
55	#2855	C₂²	1	1	yes	characteristic
56	#2647	C₂²	1	1	yes	characteristic
57	#2642	C₂²	1	1	yes	characteristic
58	#2642	C₂²	1	1	yes	characteristic
59	#2642	C₂²	1	1	yes	characteristic
60	#2640	C₂²	1	1	yes	characteristic
61	#2640	C₂²	1	1	yes	characteristic
62	#2629	C₂²	1	1	yes	characteristic
63	#2621	C₂²	1	1	yes	characteristic
64	#2585	—	2	1	no	—
65	#2585	—	2	1	no	—
66	#2573	—	2	1	no	—
67	#2573	—	2	1	no	—
68	#2524	—	2	1	no	—
69	#2524	—	2	1	no	—
70	#2515	—	2	1	no	—
71	#2515	—	2	1	no	—
72	#2492	—	2	1	no	—
73	#2492	—	2	1	no	—
74	#2489	—	2	1	no	—
75	#2489	—	2	1	no	—
76	#2488	—	2	1	no	—
77	#2488	—	2	1	no	—
78	#2488	—	2	1	no	—
79	#2488	—	2	1	no	—
80	#2323	C₂²	1	1	yes	characteristic
81	#2323	C₂²	1	1	yes	characteristic
82	#2320	C₂²	1	1	yes	characteristic
83	#2320	C₂²	1	1	yes	characteristic
84	#2311	C₂²	1	1	yes	characteristic
85	#2310	C₂²	1	1	yes	characteristic
86	C₄×C₄⋊Q₈	C₂²	1	1	yes	characteristic
87	C₄×#125	C₂²	1	1	yes	characteristic
88	#2297	C₂²	1	1	yes	characteristic
89	C₂×#391	C₂²	1	1	yes	characteristic
90	C₄×#117	C₂²	1	1	yes	characteristic
91	#2068	C₂²	1	1	yes	characteristic
92	#2068	C₂²	1	1	yes	characteristic
93	#2068	C₂²	1	1	yes	characteristic
94	#2067	C₂²	1	1	yes	characteristic
95	#2066	C₂²	1	1	yes	characteristic
96	#2066	C₂²	1	1	yes	characteristic
97	#2066	C₂²	1	1	yes	characteristic
98	#2065	C₂²	1	1	yes	characteristic
99	#2059	C₂²	1	1	yes	characteristic
100	#2059	C₂²	1	1	yes	characteristic
101	#2058	C₂²	1	1	yes	characteristic
102	#2057	C₂²	1	1	yes	characteristic
103	#2056	C₂²	1	1	yes	characteristic
104	#2056	C₂²	1	1	yes	characteristic
105	#2056	C₂²	1	1	yes	characteristic
106	#2056	C₂²	1	1	yes	characteristic
107	#2056	C₂²	1	1	yes	characteristic
108	#2056	C₂²	1	1	yes	characteristic
109	#2055	C₂²	1	1	yes	characteristic
110	#2055	C₂²	1	1	yes	characteristic
111	#2043	C₂²	1	1	yes	characteristic
112	#2043	C₂²	1	1	yes	characteristic
113	#2042	C₂²	1	1	yes	characteristic
114	#2042	C₂²	1	1	yes	characteristic
115	#2026	C₂²	1	1	yes	characteristic
116	#2026	C₂²	1	1	yes	characteristic
117	#2024	C₂²	1	1	yes	characteristic
118	#2024	C₂²	1	1	yes	characteristic
119	#2016	C₂²	1	1	yes	characteristic
120	#2016	C₂²	1	1	yes	characteristic
121	#2015	C₂²	1	1	yes	characteristic
122	#2015	C₂²	1	1	yes	characteristic
123	#1993	C₂²	1	1	yes	characteristic
124	#1992	C₂²	1	1	yes	characteristic
125	#1991	C₂²	1	1	yes	characteristic
126	#1990	C₂²	1	1	yes	characteristic
127	#1973	C₂²	1	1	yes	characteristic
128	#1973	C₂²	1	1	yes	characteristic
129	#1971	C₂²	1	1	yes	characteristic
130	#1971	C₂²	1	1	yes	characteristic
131	#1971	C₂²	1	1	yes	characteristic
132	#1971	C₂²	1	1	yes	characteristic
133	#1971	C₂²	1	1	yes	characteristic
134	#1971	C₂²	1	1	yes	characteristic
135	#1969	C₂²	1	1	yes	characteristic
136	#1969	C₂²	1	1	yes	characteristic
137	#1969	C₂²	1	1	yes	characteristic
138	#1969	C₂²	1	1	yes	characteristic
139	#1969	C₂²	1	1	yes	characteristic
140	#1969	C₂²	1	1	yes	characteristic
141	#1968	C₂²	1	1	yes	characteristic
142	#1968	C₂²	1	1	yes	characteristic
143	#1960	C₂²	1	1	yes	characteristic
144	#1959	C₂²	1	1	yes	characteristic
145	#1958	C₂²	1	1	yes	characteristic
146	#1956	C₂²	1	1	yes	characteristic
147	#1936	C₂²	1	1	yes	characteristic
148	#1936	C₂²	1	1	yes	characteristic
149	#1935	C₂²	1	1	yes	characteristic
150	#1935	C₂²	1	1	yes	characteristic
151	#1935	C₂²	1	1	yes	characteristic
152	#1935	C₂²	1	1	yes	characteristic
153	#1935	C₂²	1	1	yes	characteristic
154	#1935	C₂²	1	1	yes	characteristic
155	#1934	C₂²	1	1	yes	characteristic
156	#1934	C₂²	1	1	yes	characteristic
157	#1933	C₂²	1	1	yes	characteristic
158	#1933	C₂²	1	1	yes	characteristic
159	#1933	C₂²	1	1	yes	characteristic
160	#1933	C₂²	1	1	yes	characteristic
161	#1933	C₂²	1	1	yes	characteristic
162	#1933	C₂²	1	1	yes	characteristic
163	#1928	C₂²	1	1	yes	characteristic
164	#1928	C₂²	1	1	yes	characteristic
165	#1928	C₂²	1	1	yes	characteristic
166	#1927	C₂²	1	1	yes	characteristic
167	#1927	C₂²	1	1	yes	characteristic
168	#1927	C₂²	1	1	yes	characteristic
169	#1926	C₂²	1	1	yes	characteristic
170	#1925	C₂²	1	1	yes	characteristic
171	#1880	C₂²	1	1	yes	characteristic
172	#1880	C₂²	1	1	yes	characteristic
173	#1878	C₂²	1	1	yes	characteristic
174	#1878	C₂²	1	1	yes	characteristic
175	#1878	C₂²	1	1	yes	characteristic
176	#1878	C₂²	1	1	yes	characteristic
177	#1878	C₂²	1	1	yes	characteristic
178	#1878	C₂²	1	1	yes	characteristic
179	#1873	C₂²	1	1	yes	characteristic
180	#1873	C₂²	1	1	yes	characteristic
181	#1872	C₂²	1	1	yes	characteristic
182	#1872	C₂²	1	1	yes	characteristic
183	#1854	C₂²	1	1	yes	characteristic
184	#1854	C₂²	1	1	yes	characteristic
185	#1853	C₂²	1	1	yes	characteristic
186	#1852	C₂²	1	1	yes	characteristic
187	#1788	C₂²	1	1	yes	characteristic
188	#1788	C₂²	1	1	yes	characteristic
189	#1787	C₂²	1	1	yes	characteristic
190	#1787	C₂²	1	1	yes	characteristic
191	#1767	C₂²	1	1	yes	characteristic
192	#1767	C₂²	1	1	yes	characteristic
193	C₄×C₄⋊C₈	C₂²	1	1	yes	characteristic
194	C₄×C₄⋊C₈	C₂²	1	1	yes	characteristic
195	#1750	C₂²	1	1	yes	characteristic
196	#1750	C₂²	1	1	yes	characteristic
197	#1750	C₂²	1	1	yes	characteristic
198	#1750	C₂²	1	1	yes	characteristic
199	#1746	C₂²	1	1	yes	characteristic
200	#1746	C₂²	1	1	yes	characteristic
201	#1726	C₂²	1	1	yes	characteristic
202	#1726	C₂²	1	1	yes	characteristic
203	C₂²×#41	C₂³	1	1	yes	characteristic
204	C₂³×Q₈	C₂³	1	1	yes	characteristic
205	C₂²×Q₁₆	C₂³	1	1	yes	characteristic
206	C₂²×Q₁₆	C₂³	1	1	yes	characteristic
207	C₂²×Q₁₆	C₂³	1	1	yes	characteristic
208	C₂²×Q₁₆	C₂³	1	1	yes	characteristic
209	C₂²×Q₁₆	C₂³	1	1	yes	characteristic
210	C₂²×Q₁₆	C₂³	1	1	yes	characteristic
211	C₂²×SD₁₆	C₂³	1	1	yes	characteristic
212	C₂²×SD₁₆	C₂³	1	1	yes	characteristic
213	#544	—	4	2	no	—
214	#544	—	4	2	no	—
215	#536	—	4	2	no	—
216	#536	—	4	2	no	—
217	C₂×C₄⋊Q₈	—	2	1	no	—
218	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
219	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
220	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
221	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
222	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
223	C₂×#125	—	2	1	no	—
224	C₂×#125	C₂³	1	1	yes	characteristic
225	C₂×#125	C₂³	1	1	yes	characteristic
226	C₂×#125	C₂³	1	1	yes	characteristic
227	C₂×#124	C₂³	1	1	yes	characteristic
228	C₂×#124	C₂³	1	1	yes	characteristic
229	C₂×#123	—	2	1	no	—
230	C₂×#123	—	2	1	no	—
231	C₂×C₂²⋊Q₈	—	2	1	no	—
232	C₂×C₂²⋊Q₈	—	2	1	no	—
233	C₂×C₂²⋊Q₈	—	2	1	no	—
234	C₂×C₂²⋊Q₈	—	2	1	no	—
235	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
236	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
237	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
238	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
239	C₂×#117	C₂³	1	1	yes	characteristic
240	C₂×#117	C₂³	1	1	yes	characteristic
241	C₂×#117	C₂³	1	1	yes	characteristic
242	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
243	C₂²×C₄²	C₂³	1	1	yes	characteristic
244	#501	—	4	2	no	—
245	#499	—	4	2	no	—
246	#497	—	4	2	no	—
247	#494	—	4	2	no	—
248	#491	—	4	2	no	—
249	#491	—	4	2	no	—
250	#488	—	4	2	no	—
251	#487	—	4	2	no	—
252	#452	—	2	4	no	—
253	#452	—	2	4	no	—
254	#451	—	2	4	no	—
255	#451	—	2	4	no	—
256	#432	—	2	4	no	—
257	#431	—	2	4	no	—
258	C₂×#107	C₂³	1	1	yes	characteristic
259	C₂×#107	C₂³	1	1	yes	characteristic
260	C₂×#107	C₂³	1	1	yes	characteristic
261	C₂×#107	C₂³	1	1	yes	characteristic
262	C₂×#106	C₂³	1	1	yes	characteristic
263	C₂×#106	C₂³	1	1	yes	characteristic
264	C₂×#106	C₂³	1	1	yes	characteristic
265	C₂×#106	C₂³	1	1	yes	characteristic
266	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
267	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
268	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
269	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
270	C₂×#103	C₂³	1	1	yes	characteristic
271	C₂×#103	C₂³	1	1	yes	characteristic
272	C₂×#103	C₂³	1	1	yes	characteristic
273	C₂×#103	C₂³	1	1	yes	characteristic
274	C₂×#103	C₂³	1	1	yes	characteristic
275	C₂×#103	C₂³	1	1	yes	characteristic
276	C₂×#103	C₂³	1	1	yes	characteristic
277	C₂×#103	C₂³	1	1	yes	characteristic
278	C₂×#103	C₂³	1	1	yes	characteristic
279	C₂×#103	C₂³	1	1	yes	characteristic
280	C₂×#103	C₂³	1	1	yes	characteristic
281	C₂×#103	C₂³	1	1	yes	characteristic
282	C₂×#103	C₂³	1	1	yes	characteristic
283	C₂×#103	C₂³	1	1	yes	characteristic
284	C₂×#103	C₂³	1	1	yes	characteristic
285	C₂×#103	C₂³	1	1	yes	characteristic
286	C₂×#103	C₂³	1	1	yes	characteristic
287	C₂×#103	C₂³	1	1	yes	characteristic
288	C₂×#103	C₂³	1	1	yes	characteristic
289	C₂×#103	C₂³	1	1	yes	characteristic
290	C₂×#103	C₂³	1	1	yes	characteristic
291	C₂×#103	C₂³	1	1	yes	characteristic
292	C₂×#103	C₂³	1	1	yes	characteristic
293	C₂×#103	C₂³	1	1	yes	characteristic
294	C₂×#103	C₂³	1	1	yes	characteristic
295	C₂×#103	C₂³	1	1	yes	characteristic
296	C₂×#102	C₂³	1	1	yes	characteristic
297	C₂×#102	C₂³	1	1	yes	characteristic
298	C₂×#102	C₂³	1	1	yes	characteristic
299	C₂×#102	C₂³	1	1	yes	characteristic
300	C₂×#102	C₂³	1	1	yes	characteristic
301	C₂×#102	C₂³	1	1	yes	characteristic
302	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
303	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
304	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
305	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
306	C₂×#97	C₂³	1	1	yes	characteristic
307	C₂×#97	C₂³	1	1	yes	characteristic
308	C₂×#97	C₂³	1	1	yes	characteristic
309	C₂×#97	C₂³	1	1	yes	characteristic
310	C₂×#97	C₂³	1	1	yes	characteristic
311	C₂×#97	C₂³	1	1	yes	characteristic
312	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
313	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
314	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
315	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
316	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
317	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
318	#400	—	2	1	no	—
319	#400	—	2	1	no	—
320	#400	—	2	1	no	—
321	#400	—	2	1	no	—
322	#400	—	2	1	no	—
323	#400	—	2	1	no	—
324	#400	—	2	1	no	—
325	#400	—	2	1	no	—
326	#400	—	2	1	no	—
327	#400	—	2	1	no	—
328	#400	—	2	1	no	—
329	#400	—	2	1	no	—
330	#400	—	2	1	no	—
331	#400	—	2	1	no	—
332	#398	—	2	1	no	—
333	#398	—	2	1	no	—
334	#398	—	2	1	no	—
335	#398	—	2	1	no	—
336	#398	—	2	1	no	—
337	#398	—	2	1	no	—
338	#397	—	2	1	no	—
339	#397	—	2	1	no	—
340	#397	—	2	1	no	—
341	#397	—	2	1	no	—
342	#397	—	2	1	no	—
343	#397	—	2	1	no	—
344	#396	—	2	1	no	—
345	#396	—	2	1	no	—
346	#393	—	2	1	no	—
347	#393	—	2	1	no	—
348	#393	—	2	1	no	—
349	#393	—	2	1	no	—
350	#391	—	2	1	no	—
351	#391	—	2	1	no	—
352	#391	—	2	1	no	—
353	#391	—	2	1	no	—
354	#391	—	2	1	no	—
355	#391	—	2	1	no	—
356	#391	—	2	1	no	—
357	#391	—	2	1	no	—
358	#391	C₂³	1	1	yes	characteristic
359	#391	C₂³	1	1	yes	characteristic
360	#391	C₂³	1	1	yes	characteristic
361	#391	C₂³	1	1	yes	characteristic
362	#391	C₂³	1	1	yes	characteristic
363	#391	C₂³	1	1	yes	characteristic
364	#391	C₂³	1	1	yes	characteristic
365	#391	C₂³	1	1	yes	characteristic
366	#391	C₂³	1	1	yes	characteristic
367	#391	C₂³	1	1	yes	characteristic
368	#391	C₂³	1	1	yes	characteristic
369	#391	C₂³	1	1	yes	characteristic
370	#391	C₂³	1	1	yes	characteristic
371	#391	C₂³	1	1	yes	characteristic
372	#391	C₂³	1	1	yes	characteristic
373	#391	C₂³	1	1	yes	characteristic
374	#391	C₂³	1	1	yes	characteristic
375	#391	C₂³	1	1	yes	characteristic
376	#391	C₂³	1	1	yes	characteristic
377	#391	C₂³	1	1	yes	characteristic
378	#390	C₂³	1	1	yes	characteristic
379	#390	C₂³	1	1	yes	characteristic
380	#390	C₂³	1	1	yes	characteristic
381	#390	C₂³	1	1	yes	characteristic
382	#389	—	2	1	no	—
383	#389	—	2	1	no	—
384	#389	—	2	1	no	—
385	#389	—	2	1	no	—
386	#389	C₂³	1	1	yes	characteristic
387	#389	C₂³	1	1	yes	characteristic
388	#389	C₂³	1	1	yes	characteristic
389	#389	C₂³	1	1	yes	characteristic
390	#389	C₂³	1	1	yes	characteristic
391	#389	C₂³	1	1	yes	characteristic
392	#389	C₂³	1	1	yes	characteristic
393	#389	C₂³	1	1	yes	characteristic
394	#388	—	2	1	no	—
395	#388	—	2	1	no	—
396	#388	—	2	1	no	—
397	#388	—	2	1	no	—
398	#388	—	2	1	no	—
399	#388	—	2	1	no	—
400	#388	—	2	1	no	—
401	#388	—	2	1	no	—
402	#388	—	2	1	no	—
403	#388	—	2	1	no	—
404	#388	—	2	1	no	—
405	#388	—	2	1	no	—
406	#387	—	2	1	no	—
407	#387	—	2	1	no	—
408	#387	—	2	1	no	—
409	#387	—	2	1	no	—
410	#387	—	2	1	no	—
411	#387	—	2	1	no	—
412	#387	—	2	1	no	—
413	#387	—	2	1	no	—
414	#387	—	2	1	no	—
415	#387	—	2	1	no	—
416	#387	—	2	1	no	—
417	#387	—	2	1	no	—
418	#387	—	2	1	no	—
419	#387	—	2	1	no	—
420	#387	—	2	1	no	—
421	#387	—	2	1	no	—
422	#387	—	2	1	no	—
423	#387	—	2	1	no	—
424	#386	—	2	1	no	—
425	#386	—	2	1	no	—
426	#386	—	2	1	no	—
427	#386	—	2	1	no	—
428	#385	—	2	1	no	—
429	#385	—	2	1	no	—
430	#384	C₂³	1	1	yes	characteristic
431	#383	—	2	1	no	—
432	#383	—	2	1	no	—
433	#383	—	2	1	no	—
434	#383	—	2	1	no	—
435	#382	—	2	1	no	—
436	#382	—	2	1	no	—
437	#382	—	2	1	no	—
438	#382	—	2	1	no	—
439	#382	—	2	1	no	—
440	#382	—	2	1	no	—
441	#382	C₂³	1	1	yes	characteristic
442	#381	—	2	1	no	—
443	#381	—	2	1	no	—
444	#381	—	2	1	no	—
445	#381	—	2	1	no	—
446	#380	—	2	1	no	—
447	#380	—	2	1	no	—
448	#380	C₂³	1	1	yes	characteristic
449	#380	C₂³	1	1	yes	characteristic
450	C₄×C₄⋊C₄	—	2	1	no	—
451	C₄×C₄⋊C₄	—	2	1	no	—
452	C₄×C₄⋊C₄	—	2	1	no	—
453	C₄×C₄⋊C₄	—	2	1	no	—
454	C₄×C₄⋊C₄	D₄	1	1	yes	characteristic
455	C₄×C₄⋊C₄	D₄	1	1	yes	characteristic
456	C₄×C₄⋊C₄	D₄	1	1	yes	characteristic
457	C₄×C₄⋊C₄	D₄	1	1	yes	characteristic
458	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
459	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
460	C₄×C₂²⋊C₄	—	2	1	no	—
461	C₄×C₂²⋊C₄	—	2	1	no	—
462	C₄×C₂²⋊C₄	D₄	1	1	yes	characteristic
463	C₄×C₂²⋊C₄	D₄	1	1	yes	characteristic
464	C₄×C₂²⋊C₄	D₄	1	1	yes	characteristic
465	C₄×C₂²⋊C₄	D₄	1	1	yes	characteristic
466	#376	C₂³	1	1	yes	characteristic
467	#376	C₂³	1	1	yes	characteristic
468	C₂×#95	—	2	1	no	—
469	C₂×#95	—	2	1	no	—
470	C₄³	C₂³	1	1	yes	characteristic
471	C₄³	C₂³	1	1	yes	characteristic
472	#340	C₂³	1	1	yes	characteristic
473	#340	C₂³	1	1	yes	characteristic
474	#340	C₂³	1	1	yes	characteristic
475	#340	C₂³	1	1	yes	characteristic
476	#340	C₂³	1	1	yes	characteristic
477	#340	C₂³	1	1	yes	characteristic
478	#340	C₂³	1	1	yes	characteristic
479	#340	C₂³	1	1	yes	characteristic
480	#340	C₂³	1	1	yes	characteristic
481	#340	C₂³	1	1	yes	characteristic
482	#340	C₂³	1	1	yes	characteristic
483	#340	C₂³	1	1	yes	characteristic
484	#340	C₂³	1	1	yes	characteristic
485	#340	C₂³	1	1	yes	characteristic
486	#340	C₂³	1	1	yes	characteristic
487	#340	C₂³	1	1	yes	characteristic
488	#336	C₂³	1	1	yes	characteristic
489	#336	C₂³	1	1	yes	characteristic
490	#336	C₂³	1	1	yes	characteristic
491	#336	C₂³	1	1	yes	characteristic
492	#336	C₂³	1	1	yes	characteristic
493	#336	C₂³	1	1	yes	characteristic
494	#336	C₂³	1	1	yes	characteristic
495	#336	C₂³	1	1	yes	characteristic
496	C₂×#41	—	2	2	no	—
497	C₂×#41	—	2	2	no	—
498	C₂×#41	—	4	1	no	—
499	C₂×#41	—	4	1	no	—
500	C₂×#41	—	4	1	no	—
501	C₂×#41	—	4	1	no	—
502	C₂²×Q₈	—	2	1	no	—
503	C₂²×Q₈	—	2	1	no	—
504	C₂²×Q₈	—	2	1	no	—
505	C₂²×Q₈	—	2	2	no	—
506	C₂²×Q₈	—	2	2	no	—
507	C₂²×Q₈	—	4	1	no	—
508	C₂²×Q₈	—	4	1	no	—
509	C₂²×Q₈	—	4	1	no	—
510	C₂²×Q₈	—	4	1	no	—
511	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
512	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
513	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
514	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
515	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
516	C₂²×D₄	—	2	1	no	—
517	C₂²×D₄	C₂⁴	1	1	yes	characteristic
518	C₂³×C₄	—	2	1	no	—
519	C₂³×C₄	—	2	1	no	—
520	C₂³×C₄	—	2	1	no	—
521	C₂³×C₄	C₂×D₄	1	1	yes	characteristic
522	C₂³×C₄	C₂×D₄	1	1	yes	characteristic
523	C₂³×C₄	C₂⁴	1	1	yes	characteristic
524	C₂×Q₁₆	—	2	2	no	—
525	C₂×Q₁₆	—	2	2	no	—
526	C₂×Q₁₆	—	2	2	no	—
527	C₂×Q₁₆	—	2	2	no	—
528	C₂×Q₁₆	—	2	2	no	—
529	C₂×Q₁₆	—	2	2	no	—
530	C₂×Q₁₆	—	4	1	no	—
531	C₂×Q₁₆	—	4	1	no	—
532	C₂×Q₁₆	—	4	1	no	—
533	C₂×Q₁₆	—	4	1	no	—
534	C₂×Q₁₆	—	4	1	no	—
535	C₂×Q₁₆	—	4	1	no	—
536	C₂×Q₁₆	—	4	1	no	—
537	C₂×Q₁₆	—	4	1	no	—
538	C₂×Q₁₆	—	4	1	no	—
539	C₂×Q₁₆	—	4	1	no	—
540	C₂×Q₁₆	—	4	1	no	—
541	C₂×Q₁₆	—	4	1	no	—
542	C₂×SD₁₆	—	2	2	no	—
543	C₂×SD₁₆	—	2	2	no	—
544	C₂×SD₁₆	—	4	1	no	—
545	C₂×SD₁₆	—	4	1	no	—
546	C₂×SD₁₆	—	4	1	no	—
547	C₂×SD₁₆	—	4	1	no	—
548	C₂²×C₈	C₂⁴	1	1	yes	characteristic
549	C₂²×C₈	C₂⁴	1	1	yes	characteristic
550	C₂²×C₈	C₂⁴	1	1	yes	characteristic
551	C₂²×C₈	C₂⁴	1	1	yes	characteristic
552	C₂²×C₈	C₂⁴	1	1	yes	characteristic
553	C₂²×C₈	C₂⁴	1	1	yes	characteristic
554	C₂²×C₈	C₂⁴	1	1	yes	characteristic
555	C₂²×C₈	C₂⁴	1	1	yes	characteristic
556	C₄⋊Q₈	—	2	2	no	—
557	C₄⋊Q₈	—	2	2	no	—
558	C₄⋊Q₈	—	2	2	no	—
559	C₄⋊Q₈	—	2	2	no	—
560	C₄⋊Q₈	—	2	2	no	—
561	C₄⋊Q₈	—	2	2	no	—
562	C₄⋊Q₈	—	4	1	no	—
563	C₄⋊Q₈	—	4	1	no	—
564	C₄⋊Q₈	—	4	1	no	—
565	C₄⋊Q₈	—	4	1	no	—
566	C₄⋊Q₈	—	4	4	no	—
567	#125	—	2	2	no	—
568	#125	—	2	2	no	—
569	#125	—	2	2	no	—
570	#125	—	2	2	no	—
571	#125	—	4	1	no	—
572	#125	—	4	1	no	—
573	#125	—	4	4	no	—
574	#124	—	2	2	no	—
575	#124	—	2	2	no	—
576	#124	—	4	1	no	—
577	#124	—	4	1	no	—
578	#123	—	4	4	no	—
579	#123	—	4	4	no	—
580	C₂²⋊Q₈	—	2	2	no	—
581	C₂²⋊Q₈	—	2	2	no	—
582	C₂²⋊Q₈	—	2	2	no	—
583	C₂²⋊Q₈	—	2	2	no	—
584	C₂²⋊Q₈	—	4	4	no	—
585	C₂²⋊Q₈	—	4	4	no	—
586	C₂²⋊Q₈	—	4	4	no	—
587	C₂²⋊Q₈	—	4	4	no	—
588	C₄×Q₈	—	4	1	no	—
589	C₄×Q₈	—	4	1	no	—
590	C₄×Q₈	—	4	1	no	—
591	C₄×Q₈	—	4	1	no	—
592	#117	—	2	2	no	—
593	#117	—	2	2	no	—
594	#117	—	4	1	no	—
595	#117	—	4	1	no	—
596	#117	—	4	1	no	—
597	#117	—	4	1	no	—
598	C₂×C₄⋊C₄	—	2	1	no	—
599	C₂×C₄⋊C₄	—	2	1	no	—
600	C₂×C₄⋊C₄	—	2	1	no	—
601	C₂×C₄⋊C₄	—	2	1	no	—
602	C₂×C₄⋊C₄	—	2	1	no	—
603	C₂×C₄⋊C₄	—	2	1	no	—
604	C₂×C₄⋊C₄	—	2	1	no	—
605	C₂×C₄⋊C₄	—	2	1	no	—
606	C₂×C₄⋊C₄	—	2	1	no	—
607	C₂×C₄⋊C₄	—	2	1	no	—
608	C₂×C₄⋊C₄	—	2	1	no	—
609	C₂×C₄⋊C₄	—	2	1	no	—
610	C₂×C₄⋊C₄	—	2	1	no	—
611	C₂×C₄⋊C₄	—	2	1	no	—
612	C₂×C₄⋊C₄	—	2	1	no	—
613	C₂×C₄⋊C₄	—	2	1	no	—
614	C₂×C₄⋊C₄	—	2	1	no	—
615	C₂×C₄⋊C₄	—	2	1	no	—
616	C₂×C₄⋊C₄	—	2	1	no	—
617	C₂×C₄⋊C₄	—	2	1	no	—
618	C₂×C₄⋊C₄	—	2	1	no	—
619	C₂×C₄⋊C₄	—	2	1	no	—
620	C₂×C₄⋊C₄	—	2	1	no	—
621	C₂×C₄⋊C₄	—	2	1	no	—
622	C₂×C₄⋊C₄	—	2	1	no	—
623	C₂×C₄⋊C₄	—	2	1	no	—
624	C₂×C₄⋊C₄	—	2	1	no	—
625	C₂×C₄⋊C₄	—	2	1	no	—
626	C₂×C₄⋊C₄	—	2	1	no	—
627	C₂×C₄⋊C₄	—	4	1	no	—
628	C₂×C₄⋊C₄	—	4	1	no	—
629	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
630	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
631	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
632	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
633	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
634	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
635	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
636	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
637	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
638	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
639	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
640	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
641	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
642	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
643	C₂×C₂²⋊C₄	—	2	1	no	—
644	C₂×C₂²⋊C₄	—	2	1	no	—
645	C₂×C₂²⋊C₄	—	2	1	no	—
646	C₂×C₂²⋊C₄	—	2	1	no	—
647	C₂×C₂²⋊C₄	—	2	1	no	—
648	C₂×C₂²⋊C₄	—	2	1	no	—
649	C₂×C₂²⋊C₄	—	2	1	no	—
650	C₂×C₂²⋊C₄	—	2	1	no	—
651	C₂×C₂²⋊C₄	—	2	1	no	—
652	C₂×C₂²⋊C₄	—	2	1	no	—
653	C₂×C₂²⋊C₄	—	2	1	no	—
654	C₂×C₂²⋊C₄	—	2	1	no	—
655	C₂×C₂²⋊C₄	—	2	1	no	—
656	C₂×C₂²⋊C₄	—	2	1	no	—
657	C₂×C₂²⋊C₄	—	2	1	no	—
658	C₂×C₂²⋊C₄	—	2	1	no	—
659	C₂×C₂²⋊C₄	—	2	1	no	—
660	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
661	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
662	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
663	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
664	C₂×C₄²	—	2	2	no	—
665	C₂×C₄²	—	2	2	no	—
666	C₂×C₄²	—	2	1	no	—
667	C₂×C₄²	—	2	1	no	—
668	C₂×C₄²	—	2	1	no	—
669	C₂×C₄²	—	2	1	no	—
670	C₂×C₄²	—	2	1	no	—
671	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
672	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
673	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
674	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
675	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
676	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
677	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
678	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
679	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
680	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
681	C₂×C₄²	C₂⁴	1	1	yes	characteristic
682	C₂×C₄²	C₂⁴	1	1	yes	characteristic
683	C₂×C₄²	C₂⁴	1	1	yes	characteristic
684	C₂×C₄²	C₂⁴	1	1	yes	characteristic
685	C₂×C₄²	C₂⁴	1	1	yes	characteristic
686	C₂×C₄²	C₂⁴	1	1	yes	characteristic
687	#107	—	4	1	no	—
688	#107	—	4	1	no	—
689	#107	—	4	1	no	—
690	#107	—	4	1	no	—
691	#106	—	4	1	no	—
692	#106	—	4	1	no	—
693	#106	—	4	1	no	—
694	#106	—	4	1	no	—
695	C₄⋊C₈	—	2	2	no	—
696	C₄⋊C₈	—	2	2	no	—
697	C₄⋊C₈	—	2	2	no	—
698	C₄⋊C₈	—	2	2	no	—
699	#103	—	2	2	no	—
700	#103	—	2	2	no	—
701	#103	—	2	2	no	—
702	#103	—	2	2	no	—
703	#103	—	2	2	no	—
704	#103	—	2	2	no	—
705	#103	—	4	1	no	—
706	#103	—	4	1	no	—
707	#103	—	4	1	no	—
708	#103	—	4	1	no	—
709	#103	—	4	1	no	—
710	#103	—	4	1	no	—
711	#103	—	4	1	no	—
712	#103	—	4	1	no	—
713	#103	—	4	1	no	—
714	#103	—	4	1	no	—
715	#103	—	4	1	no	—
716	#103	—	4	1	no	—
717	#103	—	4	1	no	—
718	#103	—	4	1	no	—
719	#103	—	4	1	no	—
720	#103	—	4	1	no	—
721	#103	—	4	1	no	—
722	#103	—	4	1	no	—
723	#103	—	4	1	no	—
724	#103	—	4	1	no	—
725	#102	—	2	2	no	—
726	#102	—	2	2	no	—
727	#102	—	4	1	no	—
728	#102	—	4	1	no	—
729	#102	—	4	1	no	—
730	#102	—	4	1	no	—
731	C₂²⋊C₈	—	2	2	no	—
732	C₂²⋊C₈	—	2	2	no	—
733	C₂²⋊C₈	#41	1	4	yes	—
734	C₂²⋊C₈	#41	1	4	yes	—
735	#97	—	2	2	no	—
736	#97	—	2	2	no	—
737	#97	—	2	2	no	—
738	#97	—	2	2	no	—
739	#97	—	4	1	no	—
740	#97	—	4	1	no	—
741	C₄×C₈	—	2	2	no	—
742	C₄×C₈	—	2	2	no	—
743	C₄×C₈	—	2	2	no	—
744	C₄×C₈	—	2	2	no	—
745	C₄×C₈	—	4	1	no	—
746	C₄×C₈	—	4	1	no	—
747	#95	—	2	1	no	—
748	#95	—	2	1	no	—
749	#95	—	2	1	no	—
750	#95	—	2	1	no	—
751	#95	—	2	1	no	—
752	#95	—	2	1	no	—
753	#95	—	2	1	no	—
754	#95	—	2	1	no	—
755	#95	—	2	1	no	—
756	#95	—	2	1	no	—
757	#95	—	2	1	no	—
758	#95	—	2	1	no	—
759	#95	—	2	1	no	—
760	#95	—	2	1	no	—
761	#95	—	2	1	no	—
762	#95	—	2	1	no	—
763	#95	—	2	1	no	—
764	#95	—	2	1	no	—
765	#95	—	2	1	no	—
766	#95	—	2	1	no	—
767	#95	—	2	1	no	—
768	#95	—	2	1	no	—
769	#95	—	2	1	no	—
770	#95	—	2	1	no	—
771	#95	—	2	1	no	—
772	#95	—	2	1	no	—
773	#95	—	2	1	no	—
774	#95	—	2	1	no	—
775	#95	—	2	1	no	—
776	#95	—	2	1	no	—
777	#95	—	2	1	no	—
778	#95	—	2	1	no	—
779	#95	—	2	1	no	—
780	#95	—	2	1	no	—
781	#95	—	2	1	no	—
782	#95	—	2	1	no	—
783	#95	—	2	1	no	—
784	#95	—	2	1	no	—
785	#95	—	2	1	no	—
786	#95	—	2	1	no	—
787	#95	—	2	1	no	—
788	#95	—	2	1	no	—
789	#95	—	2	1	no	—
790	#95	—	2	1	no	—
791	#95	—	2	1	no	—
792	#95	—	2	1	no	—
793	#95	—	2	1	no	—
794	#95	—	2	1	no	—
795	#95	—	2	1	no	—
796	#95	—	2	1	no	—
797	#95	—	2	1	no	—
798	#95	—	2	1	no	—
799	#95	—	2	1	no	—
800	#95	—	2	1	no	—
801	#95	C₂×D₄	1	1	yes	characteristic
802	#95	C₂×D₄	1	1	yes	characteristic
803	#95	C₂×D₄	1	1	yes	characteristic
804	#95	C₂×D₄	1	1	yes	characteristic
805	#95	C₂×D₄	1	1	yes	characteristic
806	#95	C₂×D₄	1	1	yes	characteristic
807	#95	C₂×D₄	1	1	yes	characteristic
808	#95	C₂×D₄	1	1	yes	characteristic
809	C₂⁴	—	2	1	no	—
810	C₂⁴	C₂²×D₄	1	1	yes	characteristic
811	#41	—	8	2	no	—
812	#41	—	8	2	no	—
813	#41	—	8	2	no	—
814	#41	—	8	2	no	—
815	C₂×Q₈	—	2	1	no	—
816	C₂×Q₈	—	2	1	no	—
817	C₂×Q₈	—	2	1	no	—
818	C₂×Q₈	—	2	1	no	—
819	C₂×Q₈	—	2	1	no	—
820	C₂×Q₈	—	2	1	no	—
821	C₂×Q₈	—	2	1	no	—
822	C₂×Q₈	—	2	1	no	—
823	C₂×Q₈	—	2	1	no	—
824	C₂×Q₈	—	2	1	no	—
825	C₂×Q₈	—	2	1	no	—
826	C₂×Q₈	—	2	1	no	—
827	C₂×Q₈	—	2	1	no	—
828	C₂×Q₈	—	2	1	no	—
829	C₂×Q₈	—	2	1	no	—
830	C₂×Q₈	—	2	1	no	—
831	C₂×Q₈	—	2	1	no	—
832	C₂×Q₈	—	2	1	no	—
833	C₂×Q₈	—	2	1	no	—
834	C₂×Q₈	—	2	1	no	—
835	C₂×Q₈	—	2	1	no	—
836	C₂×Q₈	—	2	1	no	—
837	C₂×Q₈	—	2	1	no	—
838	C₂×Q₈	—	2	1	no	—
839	C₂×Q₈	—	2	1	no	—
840	C₂×Q₈	—	2	1	no	—
841	C₂×Q₈	—	2	1	no	—
842	C₂×Q₈	—	2	1	no	—
843	C₂×Q₈	—	2	1	no	—
844	C₂×Q₈	—	2	1	no	—
845	C₂×Q₈	—	4	2	no	—
846	C₂×Q₈	—	4	2	no	—
847	C₂×Q₈	—	4	2	no	—
848	C₂×Q₈	—	4	2	no	—
849	C₂×Q₈	—	4	2	no	—
850	C₂×Q₈	—	8	1	no	—
851	C₂×Q₈	—	8	1	no	—
852	C₂×Q₈	—	8	1	no	—
853	C₂×Q₈	—	8	1	no	—
854	C₂×Q₈	—	8	2	no	—
855	C₂×Q₈	—	8	2	no	—
856	C₂×Q₈	—	8	2	no	—
857	C₂×Q₈	—	8	2	no	—
858	C₂×D₄	—	2	1	no	—
859	C₂×D₄	—	2	1	no	—
860	C₂×D₄	—	2	1	no	—
861	C₂×D₄	—	2	1	no	—
862	C₂×D₄	—	2	1	no	—
863	C₂×D₄	—	2	1	no	—
864	C₂×D₄	—	4	2	no	—
865	C₂×D₄	—	4	2	no	—
866	C₂×D₄	—	4	2	no	—
867	C₂²×C₄	—	2	1	no	—
868	C₂²×C₄	—	2	1	no	—
869	C₂²×C₄	—	2	1	no	—
870	C₂²×C₄	—	2	1	no	—
871	C₂²×C₄	—	2	2	no	—
872	C₂²×C₄	—	2	2	no	—
873	C₂²×C₄	—	2	2	no	—
874	C₂²×C₄	—	2	1	no	—
875	C₂²×C₄	—	2	1	no	—
876	C₂²×C₄	—	2	1	no	—
877	C₂²×C₄	—	2	1	no	—
878	C₂²×C₄	—	2	1	no	—
879	C₂²×C₄	—	2	1	no	—
880	C₂²×C₄	—	2	1	no	—
881	C₂²×C₄	—	2	1	no	—
882	C₂²×C₄	—	2	1	no	—
883	C₂²×C₄	—	2	1	no	—
884	C₂²×C₄	—	2	1	no	—
885	C₂²×C₄	—	2	1	no	—
886	C₂²×C₄	—	2	1	no	—
887	C₂²×C₄	—	2	1	no	—
888	C₂²×C₄	—	2	1	no	—
889	C₂²×C₄	—	4	1	no	—
890	C₂²×C₄	—	4	1	no	—
891	C₂²×C₄	—	4	1	no	—
892	C₂²×C₄	—	4	2	no	—
893	C₂²×C₄	—	4	2	no	—
894	C₂²×C₄	—	4	2	no	—
895	C₂²×C₄	—	4	2	no	—
896	C₂²×C₄	—	4	2	no	—
897	C₂²×C₄	—	4	2	no	—
898	C₂²×C₄	—	4	2	no	—
899	C₂²×C₄	—	8	1	no	—
900	C₂²×C₄	—	8	1	no	—
901	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
902	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
903	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
904	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
905	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
906	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
907	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
908	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
909	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
910	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
911	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
912	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
913	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
914	C₂²×C₄	C₂×#41	1	2	yes	—
915	C₂²×C₄	C₂×#41	1	2	yes	—
916	C₂²×C₄	C₂⁵	1	1	yes	characteristic
917	Q₁₆	—	8	2	no	—
918	Q₁₆	—	8	2	no	—
919	Q₁₆	—	8	2	no	—
920	Q₁₆	—	8	2	no	—
921	Q₁₆	—	8	2	no	—
922	Q₁₆	—	8	2	no	—
923	SD₁₆	—	8	2	no	—
924	SD₁₆	—	8	2	no	—
925	C₂×C₈	—	2	1	no	—
926	C₂×C₈	—	2	1	no	—
927	C₂×C₈	—	2	1	no	—
928	C₂×C₈	—	2	1	no	—
929	C₂×C₈	—	2	1	no	—
930	C₂×C₈	—	2	1	no	—
931	C₂×C₈	—	2	1	no	—
932	C₂×C₈	—	2	1	no	—
933	C₂×C₈	—	2	1	no	—
934	C₂×C₈	—	2	1	no	—
935	C₂×C₈	—	2	1	no	—
936	C₂×C₈	—	2	1	no	—
937	C₂×C₈	—	2	1	no	—
938	C₂×C₈	—	2	1	no	—
939	C₂×C₈	—	2	1	no	—
940	C₂×C₈	—	2	1	no	—
941	C₂×C₈	—	2	1	no	—
942	C₂×C₈	—	2	1	no	—
943	C₂×C₈	—	2	1	no	—
944	C₂×C₈	—	2	1	no	—
945	C₂×C₈	C₂×#41	1	2	yes	—
946	C₂×C₈	C₂×#41	1	2	yes	—
947	C₂×C₈	C₂×#41	1	2	yes	—
948	C₂×C₈	C₂×#41	1	2	yes	—
949	C₄⋊C₄	—	2	2	no	—
950	C₄⋊C₄	—	2	2	no	—
951	C₄⋊C₄	—	2	1	no	—
952	C₄⋊C₄	—	2	1	no	—
953	C₄⋊C₄	—	2	1	no	—
954	C₄⋊C₄	—	2	1	no	—
955	C₄⋊C₄	—	2	1	no	—
956	C₄⋊C₄	—	2	1	no	—
957	C₄⋊C₄	—	2	1	no	—
958	C₄⋊C₄	—	2	1	no	—
959	C₄⋊C₄	—	2	1	no	—
960	C₄⋊C₄	—	2	1	no	—
961	C₄⋊C₄	—	2	1	no	—
962	C₄⋊C₄	—	2	1	no	—
963	C₄⋊C₄	—	2	1	no	—
964	C₄⋊C₄	—	2	1	no	—
965	C₄⋊C₄	—	2	1	no	—
966	C₄⋊C₄	—	2	1	no	—
967	C₄⋊C₄	—	2	1	no	—
968	C₄⋊C₄	—	2	1	no	—
969	C₄⋊C₄	—	2	1	no	—
970	C₄⋊C₄	—	2	1	no	—
971	C₄⋊C₄	—	4	1	no	—
972	C₄⋊C₄	—	4	1	no	—
973	C₄⋊C₄	—	4	2	no	—
974	C₄⋊C₄	—	4	2	no	—
975	C₄⋊C₄	—	4	2	no	—
976	C₄⋊C₄	—	4	2	no	—
977	C₄⋊C₄	—	4	2	no	—
978	C₄⋊C₄	—	4	2	no	—
979	C₄⋊C₄	—	4	2	no	—
980	C₄⋊C₄	—	4	2	no	—
981	C₄⋊C₄	—	4	2	no	—
982	C₄⋊C₄	—	4	2	no	—
983	C₄⋊C₄	—	4	2	no	—
984	C₄⋊C₄	—	4	2	no	—
985	C₄⋊C₄	—	4	2	no	—
986	C₄⋊C₄	—	4	2	no	—
987	C₄⋊C₄	—	4	2	no	—
988	C₄⋊C₄	—	4	2	no	—
989	C₄⋊C₄	—	4	2	no	—
990	C₄⋊C₄	—	4	2	no	—
991	C₄⋊C₄	—	4	2	no	—
992	C₄⋊C₄	—	4	2	no	—
993	C₄⋊C₄	—	4	2	no	—
994	C₄⋊C₄	—	8	1	no	—
995	C₄⋊C₄	—	8	1	no	—
996	C₄⋊C₄	—	8	1	no	—
997	C₄⋊C₄	—	8	1	no	—
998	C₄⋊C₄	—	8	1	no	—
999	C₄⋊C₄	—	8	1	no	—
1000	C₄⋊C₄	—	8	1	no	—
1001	C₄⋊C₄	—	8	1	no	—
1002	C₂²⋊C₄	—	2	2	no	—
1003	C₂²⋊C₄	—	2	2	no	—
1004	C₂²⋊C₄	—	4	1	no	—
1005	C₂²⋊C₄	—	4	1	no	—
1006	C₂²⋊C₄	—	4	2	no	—
1007	C₂²⋊C₄	—	4	2	no	—
1008	C₂²⋊C₄	—	4	2	no	—
1009	C₂²⋊C₄	—	4	2	no	—
1010	C₂²⋊C₄	—	4	2	no	—
1011	C₂²⋊C₄	—	4	2	no	—
1012	C₂²⋊C₄	—	4	2	no	—
1013	C₂²⋊C₄	—	4	2	no	—
1014	C₂²⋊C₄	—	4	2	no	—
1015	C₂²⋊C₄	—	8	1	no	—
1016	C₂²⋊C₄	—	8	1	no	—
1017	C₂²⋊C₄	—	8	1	no	—
1018	C₂²⋊C₄	—	8	1	no	—
1019	C₂²⋊C₄	—	8	1	no	—
1020	C₂²⋊C₄	—	8	1	no	—
1021	C₂²⋊C₄	—	8	1	no	—
1022	C₂²⋊C₄	—	8	1	no	—
1023	C₄²	—	2	2	no	—
1024	C₄²	—	2	2	no	—
1025	C₄²	—	2	2	no	—
1026	C₄²	—	2	2	no	—
1027	C₄²	—	2	1	no	—
1028	C₄²	—	2	1	no	—
1029	C₄²	—	2	1	no	—
1030	C₄²	—	2	1	no	—
1031	C₄²	—	2	1	no	—
1032	C₄²	—	2	1	no	—
1033	C₄²	—	2	1	no	—
1034	C₄²	—	2	1	no	—
1035	C₄²	—	2	1	no	—
1036	C₄²	—	2	1	no	—
1037	C₄²	—	4	1	no	—
1038	C₄²	—	4	1	no	—
1039	C₄²	—	4	1	no	—
1040	C₄²	—	4	1	no	—
1041	C₄²	—	4	1	no	—
1042	C₄²	—	4	1	no	—
1043	C₄²	—	4	2	no	—
1044	C₄²	—	4	2	no	—
1045	C₄²	—	4	2	no	—
1046	C₄²	—	8	1	no	—
1047	C₄²	—	8	1	no	—
1048	C₄²	H(5,𝔽₂)	1	2	yes	—
1049	C₄²	H(5,𝔽₂)	1	2	yes	—
1050	C₂³	—	2	1	no	—
1051	C₂³	—	2	1	no	—
1052	C₂³	—	2	1	no	—
1053	C₂³	—	2	1	no	—
1054	C₂³	—	2	1	no	—
1055	C₂³	—	2	1	no	—
1056	C₂³	—	4	1	no	—
1057	C₂³	—	4	1	no	—
1058	C₂³	—	4	1	no	—
1059	C₂³	—	4	1	no	—
1060	C₂³	—	4	1	no	—
1061	C₂³	—	4	1	no	—
1062	C₂³	—	4	1	no	—
1063	C₂³	#532	1	2	yes	—
1064	C₂³	C₂³×D₄	1	1	yes	characteristic
1065	Q₈	—	4	1	no	—
1066	Q₈	—	4	1	no	—
1067	Q₈	—	4	1	no	—
1068	Q₈	—	4	1	no	—
1069	Q₈	—	4	1	no	—
1070	Q₈	—	4	1	no	—
1071	Q₈	—	4	1	no	—
1072	Q₈	—	4	1	no	—
1073	Q₈	—	4	1	no	—
1074	Q₈	—	4	1	no	—
1075	Q₈	—	4	1	no	—
1076	Q₈	—	4	1	no	—
1077	Q₈	—	4	1	no	—
1078	Q₈	—	4	1	no	—
1079	Q₈	—	4	1	no	—
1080	Q₈	—	4	1	no	—
1081	Q₈	—	4	1	no	—
1082	Q₈	—	4	1	no	—
1083	Q₈	—	4	1	no	—
1084	Q₈	—	4	1	no	—
1085	Q₈	—	8	4	no	—
1086	Q₈	—	16	2	no	—
1087	Q₈	—	16	2	no	—
1088	D₄	—	4	1	no	—
1089	D₄	—	4	1	no	—
1090	D₄	—	4	1	no	—
1091	D₄	—	4	1	no	—
1092	D₄	—	8	4	no	—
1093	C₂×C₄	—	2	1	no	—
1094	C₂×C₄	—	2	1	no	—
1095	C₂×C₄	—	2	1	no	—
1096	C₂×C₄	—	2	1	no	—
1097	C₂×C₄	—	2	1	no	—
1098	C₂×C₄	—	2	1	no	—
1099	C₂×C₄	—	2	1	no	—
1100	C₂×C₄	—	2	1	no	—
1101	C₂×C₄	—	2	2	no	—
1102	C₂×C₄	—	2	2	no	—
1103	C₂×C₄	—	2	2	no	—
1104	C₂×C₄	—	2	2	no	—
1105	C₂×C₄	—	2	1	no	—
1106	C₂×C₄	—	2	1	no	—
1107	C₂×C₄	—	2	1	no	—
1108	C₂×C₄	—	2	1	no	—
1109	C₂×C₄	—	2	1	no	—
1110	C₂×C₄	—	2	1	no	—
1111	C₂×C₄	—	2	1	no	—
1112	C₂×C₄	—	2	1	no	—
1113	C₂×C₄	—	2	1	no	—
1114	C₂×C₄	—	2	1	no	—
1115	C₂×C₄	—	2	1	no	—
1116	C₂×C₄	—	2	1	no	—
1117	C₂×C₄	—	2	1	no	—
1118	C₂×C₄	—	2	1	no	—
1119	C₂×C₄	—	2	1	no	—
1120	C₂×C₄	—	2	1	no	—
1121	C₂×C₄	—	2	1	no	—
1122	C₂×C₄	—	2	1	no	—
1123	C₂×C₄	—	2	1	no	—
1124	C₂×C₄	—	2	1	no	—
1125	C₂×C₄	—	2	1	no	—
1126	C₂×C₄	—	2	1	no	—
1127	C₂×C₄	—	2	1	no	—
1128	C₂×C₄	—	2	1	no	—
1129	C₂×C₄	—	2	1	no	—
1130	C₂×C₄	—	2	1	no	—
1131	C₂×C₄	—	2	1	no	—
1132	C₂×C₄	—	4	4	no	—
1133	C₂×C₄	—	4	1	no	—
1134	C₂×C₄	—	4	1	no	—
1135	C₂×C₄	—	4	1	no	—
1136	C₂×C₄	—	4	1	no	—
1137	C₂×C₄	—	4	1	no	—
1138	C₂×C₄	—	4	1	no	—
1139	C₂×C₄	—	4	1	no	—
1140	C₂×C₄	—	4	1	no	—
1141	C₂×C₄	—	4	1	no	—
1142	C₂×C₄	—	4	1	no	—
1143	C₂×C₄	—	4	1	no	—
1144	C₂×C₄	—	4	1	no	—
1145	C₂×C₄	—	4	1	no	—
1146	C₂×C₄	—	4	1	no	—
1147	C₂×C₄	—	4	1	no	—
1148	C₂×C₄	—	4	1	no	—
1149	C₂×C₄	—	4	1	no	—
1150	C₂×C₄	—	4	1	no	—
1151	C₂×C₄	—	4	1	no	—
1152	C₂×C₄	—	4	1	no	—
1153	C₂×C₄	—	4	1	no	—
1154	C₂×C₄	—	4	1	no	—
1155	C₂×C₄	—	4	1	no	—
1156	C₂×C₄	—	4	1	no	—
1157	C₂×C₄	—	4	1	no	—
1158	C₂×C₄	—	4	1	no	—
1159	C₂×C₄	—	4	1	no	—
1160	C₂×C₄	—	4	1	no	—
1161	C₂×C₄	—	4	1	no	—
1162	C₂×C₄	—	4	1	no	—
1163	C₂×C₄	—	4	1	no	—
1164	C₂×C₄	—	4	1	no	—
1165	C₂×C₄	—	4	1	no	—
1166	C₂×C₄	—	4	1	no	—
1167	C₂×C₄	—	4	1	no	—
1168	C₂×C₄	—	4	1	no	—
1169	C₂×C₄	—	4	1	no	—
1170	C₂×C₄	—	4	1	no	—
1171	C₂×C₄	—	4	1	no	—
1172	C₂×C₄	—	4	1	no	—
1173	C₂×C₄	—	4	1	no	—
1174	C₂×C₄	—	4	1	no	—
1175	C₂×C₄	—	4	1	no	—
1176	C₂×C₄	—	4	1	no	—
1177	C₂×C₄	—	4	1	no	—
1178	C₂×C₄	—	8	4	no	—
1179	C₂×C₄	—	8	2	no	—
1180	C₂×C₄	—	8	4	no	—
1181	C₂×C₄	—	16	2	no	—
1182	C₂×C₄	#532	1	2	yes	—
1183	C₂×C₄	#535	1	2	yes	—
1184	C₂×C₄	#535	1	2	yes	—
1185	C₂×C₄	#578	1	2	yes	—
1186	C₂×C₄	C₂²×#41	1	1	yes	characteristic
1187	C₂×C₄	C₂²×#41	1	1	yes	characteristic
1188	C₂×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1189	C₂×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1190	C₂×C₄	#585	1	1	yes	characteristic
1191	C₂×C₄	#585	1	1	yes	characteristic
1192	C₈	—	2	2	no	—
1193	C₈	—	2	2	no	—
1194	C₈	—	2	2	no	—
1195	C₈	—	2	2	no	—
1196	C₈	—	4	1	no	—
1197	C₈	—	4	1	no	—
1198	C₈	—	4	1	no	—
1199	C₈	—	4	1	no	—
1200	C₂²	—	2	2	no	—
1201	C₂²	—	2	2	no	—
1202	C₂²	—	2	2	no	—
1203	C₂²	—	4	1	no	—
1204	C₂²	—	4	1	no	—
1205	C₂²	—	4	1	no	—
1206	C₂²	—	4	1	no	—
1207	C₂²	—	8	1	no	—
1208	C₂²	—	8	1	no	—
1209	C₂²	—	8	1	no	—
1210	C₂²	—	8	1	no	—
1211	C₂²	—	8	1	no	—
1212	C₂²	—	8	1	no	—
1213	C₂²	—	8	1	no	—
1214	C₂²	C₂×#532	1	1	yes	characteristic
1215	C₂²	C₂×#535	1	1	yes	characteristic
1216	C₂²	#3449	1	1	yes	characteristic
1217	C₂²	C₂×#578	1	1	yes	characteristic
1218	C₂²	#3584	1	1	yes	characteristic
1219	C₂²	#3586	1	1	yes	characteristic
1220	C₂²	#3586	1	1	yes	characteristic
1221	C₄	—	2	2	no	—
1222	C₄	—	2	2	no	—
1223	C₄	—	2	2	no	—
1224	C₄	—	2	2	no	—
1225	C₄	—	4	1	no	—
1226	C₄	—	4	1	no	—
1227	C₄	—	4	1	no	—
1228	C₄	—	4	1	no	—
1229	C₄	—	4	1	no	—
1230	C₄	—	4	1	no	—
1231	C₄	—	4	1	no	—
1232	C₄	—	4	1	no	—
1233	C₄	—	4	1	no	—
1234	C₄	—	8	1	no	—
1235	C₄	—	8	1	no	—
1236	C₄	—	8	1	no	—
1237	C₄	—	8	1	no	—
1238	C₄	—	8	1	no	—
1239	C₄	—	8	1	no	—
1240	C₄	—	8	1	no	—
1241	C₄	—	8	1	no	—
1242	C₄	—	8	1	no	—
1243	C₄	—	8	1	no	—
1244	C₄	—	8	1	no	—
1245	C₄	—	8	1	no	—
1246	C₄	—	8	1	no	—
1247	C₄	—	8	1	no	—
1248	C₄	—	8	1	no	—
1249	C₄	#3514	1	1	yes	characteristic
1250	C₄	#3514	1	1	yes	characteristic
1251	C₄	#3514	1	1	yes	characteristic
1252	C₄	#3514	1	1	yes	characteristic
1253	C₂	—	4	2	no	—
1254	C₂	—	16	1	no	—
1255	C₂	#35131	1	1	yes	characteristic
1256	C₂	#60708	1	1	yes	characteristic
1257	C₂	#60711	1	1	yes	characteristic
1258	C₂	#60835	1	1	yes	characteristic
1259	C₂	#60837	1	1	yes	characteristic
1260	C₂	#60995	1	1	yes	characteristic
1261	C₂	#60999	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³	C₂³×D₄
commutator, Frattini, cosocle	C₂²×C₄	C₂⁵
prime radical	C₂²×#41	C₂³
LCS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³ ◁ C₄×#117 ◁ G
LECS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁

Complements

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

N	H ≅ G/N	type
1. #35321	C₂	semidirect
3. #33285	C₂	semidirect
4. #33283	C₂	semidirect
5. #33249	C₂	semidirect
6. #33244	C₂	semidirect
7. #30347	C₂	semidirect
8. #30344	C₂	semidirect
9. #30341	C₂	semidirect
10. #30338	C₂	semidirect
11. #29571	C₂	semidirect
12. #29567	C₂	semidirect
13. #29565	C₂	semidirect
14. #29565	C₂	semidirect
15. #28660	C₂	semidirect
16. #28657	C₂	semidirect
17. #28619	C₂	semidirect
18. #28616	C₂	semidirect
19. #25914	C₂	semidirect
21. #25822	C₂	semidirect
24. #24508	C₂	semidirect
26. #24502	C₂	semidirect
29. #22054	C₂	semidirect
30. #22054	C₂	semidirect
31. #20470	C₂	semidirect

Maximal subgroups

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

subgroup	index
#35321	2
#35312	2
#33285	2
#33283	2
#33249	2
#33244	2
#30347	2
#30344	2
#30341	2
#30338	2
#29571	2
#29567	2
#29565	2
#28660	2
#28657	2
#28619	2
#28616	2
#25914	2
#25868	2
#25822	2
#25735	2
#24511	2
#24508	2
#24505	2
#24502	2
#22059	2
#22057	2
#22054	2
#20470	2