Subgroups — #6804531

Order 512.

1390 conjugacy classes of subgroups.

The subgroup lattice has 1248 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#39766	C₂	1	1	yes	maximal, characteristic, complemented
2	#39674	C₂	1	1	yes	maximal, characteristic, complemented
3	#33284	C₂	1	1	yes	maximal, characteristic, complemented
4	#32622	C₂	1	1	yes	maximal, characteristic, complemented
5	#32616	C₂	1	1	yes	maximal, characteristic, complemented
6	#32611	C₂	1	1	yes	maximal, characteristic, complemented
7	#32597	C₂	1	1	yes	maximal, characteristic, complemented
8	#31176	C₂	1	1	yes	maximal, characteristic, complemented
9	#31170	C₂	1	1	yes	maximal, characteristic, complemented
10	#31160	C₂	1	1	yes	maximal, characteristic, complemented
11	#31154	C₂	1	1	yes	maximal, characteristic, complemented
12	#30219	C₂	1	1	yes	maximal, characteristic, complemented
13	#30210	C₂	1	1	yes	maximal, characteristic, complemented
14	#29202	C₂	1	1	yes	maximal, characteristic, complemented
15	#29183	C₂	1	1	yes	maximal, characteristic, complemented
16	#28630	C₂	1	1	yes	maximal, characteristic
17	#28629	C₂	1	1	yes	maximal, characteristic, complemented
18	#28525	C₂	1	1	yes	maximal, characteristic, complemented
19	#28446	C₂	1	1	yes	maximal, characteristic
20	#26917	C₂	1	1	yes	maximal, characteristic, complemented
21	#26908	C₂	1	1	yes	maximal, characteristic, complemented
22	#26900	C₂	1	1	yes	maximal, characteristic, complemented
23	#26893	C₂	1	1	yes	maximal, characteristic, complemented
24	#26189	C₂	1	1	yes	maximal, characteristic, complemented
25	#26188	C₂	1	1	yes	maximal, characteristic, complemented
26	#26173	C₂	1	1	yes	maximal, characteristic, complemented
27	#26172	C₂	1	1	yes	maximal, characteristic, complemented
28	#22279	C₂	1	1	yes	maximal, characteristic
29	#22222	C₂	1	1	yes	maximal, characteristic, complemented
30	#21703	C₂	1	1	yes	maximal, characteristic, complemented
31	#21347	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#497	C₂²	1	1	yes	characteristic
33	C₂×#496	C₂²	1	1	yes	characteristic
34	C₂×#488	C₂²	1	1	yes	characteristic
35	C₂×#478	C₂²	1	1	yes	characteristic
36	C₂×#478	C₂²	1	1	yes	characteristic
37	C₂×#476	C₂²	1	1	yes	characteristic
38	C₂×#474	C₂²	1	1	yes	characteristic
39	C₂×#464	C₂²	1	1	yes	characteristic
40	C₂×#464	C₂²	1	1	yes	characteristic
41	C₂×#463	C₂²	1	1	yes	characteristic
42	C₂×#463	C₂²	1	1	yes	characteristic
43	C₂×#441	C₂²	1	1	yes	characteristic
44	C₂×#440	C₂²	1	1	yes	characteristic
45	C₂×C₄×Q₁₆	C₂²	1	1	yes	characteristic
46	C₂×C₄×SD₁₆	C₂²	1	1	yes	characteristic
47	#2859	C₂²	1	1	yes	characteristic
48	#2858	C₂²	1	1	yes	characteristic
49	#2796	—	2	1	no	—
50	#2796	—	2	1	no	—
51	#2788	—	2	1	no	—
52	#2768	—	2	1	no	—
53	#2768	—	2	1	no	—
54	#2763	—	2	1	no	—
55	#2751	—	2	1	no	—
56	#2751	—	2	1	no	—
57	#2660	C₂²	1	1	yes	characteristic
58	#2647	C₂²	1	1	yes	characteristic
59	#2642	C₂²	1	1	yes	characteristic
60	#2641	C₂²	1	1	yes	characteristic
61	#2595	—	2	1	no	—
62	#2595	—	2	1	no	—
63	#2592	C₂²	1	1	yes	characteristic
64	#2592	C₂²	1	1	yes	characteristic
65	#2589	—	2	1	no	—
66	#2583	—	2	1	no	—
67	#2582	C₂²	1	1	yes	characteristic
68	#2580	C₂²	1	1	yes	characteristic
69	#2556	—	2	1	no	—
70	#2516	—	2	1	no	—
71	#2516	—	2	1	no	—
72	#2473	—	2	1	no	—
73	#2454	C₂²	1	1	yes	characteristic
74	#2453	C₂²	1	1	yes	characteristic
75	#2452	C₂²	1	1	yes	characteristic
76	#2451	C₂²	1	1	yes	characteristic
77	#2448	C₂²	1	1	yes	characteristic
78	#2448	C₂²	1	1	yes	characteristic
79	#2447	C₂²	1	1	yes	characteristic
80	#2447	C₂²	1	1	yes	characteristic
81	#2367	C₂²	1	1	yes	characteristic
82	#2367	C₂²	1	1	yes	characteristic
83	#2351	C₂²	1	1	yes	characteristic
84	D₄×C₄⋊C₄	C₂²	1	1	yes	characteristic
85	#2328	C₂²	1	1	yes	characteristic
86	#2327	C₂²	1	1	yes	characteristic
87	#2326	C₂²	1	1	yes	characteristic
88	#2326	C₂²	1	1	yes	characteristic
89	C₄×#125	C₂²	1	1	yes	characteristic
90	C₄×#124	C₂²	1	1	yes	characteristic
91	#2295	C₂²	1	1	yes	characteristic
92	#2094	C₂²	1	1	yes	characteristic
93	#2093	C₂²	1	1	yes	characteristic
94	#2092	C₂²	1	1	yes	characteristic
95	#2092	C₂²	1	1	yes	characteristic
96	#2088	C₂²	1	1	yes	characteristic
97	#2088	C₂²	1	1	yes	characteristic
98	#2087	C₂²	1	1	yes	characteristic
99	#2087	C₂²	1	1	yes	characteristic
100	#2074	C₂²	1	1	yes	characteristic
101	#2074	C₂²	1	1	yes	characteristic
102	#2072	C₂²	1	1	yes	characteristic
103	#2072	C₂²	1	1	yes	characteristic
104	#2068	C₂²	1	1	yes	characteristic
105	#2068	C₂²	1	1	yes	characteristic
106	#2066	C₂²	1	1	yes	characteristic
107	#2066	C₂²	1	1	yes	characteristic
108	#2056	C₂²	1	1	yes	characteristic
109	#2056	C₂²	1	1	yes	characteristic
110	#2055	C₂²	1	1	yes	characteristic
111	#2055	C₂²	1	1	yes	characteristic
112	#2055	C₂²	1	1	yes	characteristic
113	#2055	C₂²	1	1	yes	characteristic
114	#2054	C₂²	1	1	yes	characteristic
115	#2054	C₂²	1	1	yes	characteristic
116	#2042	C₂²	1	1	yes	characteristic
117	#2042	C₂²	1	1	yes	characteristic
118	#2042	C₂²	1	1	yes	characteristic
119	#2042	C₂²	1	1	yes	characteristic
120	#2042	C₂²	1	1	yes	characteristic
121	#2042	C₂²	1	1	yes	characteristic
122	#2042	C₂²	1	1	yes	characteristic
123	#2042	C₂²	1	1	yes	characteristic
124	#2026	C₂²	1	1	yes	characteristic
125	#2026	C₂²	1	1	yes	characteristic
126	#2024	C₂²	1	1	yes	characteristic
127	#2024	C₂²	1	1	yes	characteristic
128	#2015	C₂²	1	1	yes	characteristic
129	#2015	C₂²	1	1	yes	characteristic
130	#2012	C₂²	1	1	yes	characteristic
131	#2012	C₂²	1	1	yes	characteristic
132	#1992	C₂²	1	1	yes	characteristic
133	#1992	C₂²	1	1	yes	characteristic
134	#1991	C₂²	1	1	yes	characteristic
135	#1985	C₂²	1	1	yes	characteristic
136	#1984	C₂²	1	1	yes	characteristic
137	#1973	C₂²	1	1	yes	characteristic
138	#1971	C₂²	1	1	yes	characteristic
139	#1969	C₂²	1	1	yes	characteristic
140	#1968	C₂²	1	1	yes	characteristic
141	#1961	C₂²	1	1	yes	characteristic
142	#1960	C₂²	1	1	yes	characteristic
143	#1958	C₂²	1	1	yes	characteristic
144	#1957	C₂²	1	1	yes	characteristic
145	#1957	C₂²	1	1	yes	characteristic
146	#1956	C₂²	1	1	yes	characteristic
147	#1956	C₂²	1	1	yes	characteristic
148	#1940	C₂²	1	1	yes	characteristic
149	#1939	C₂²	1	1	yes	characteristic
150	#1936	C₂²	1	1	yes	characteristic
151	#1936	C₂²	1	1	yes	characteristic
152	#1936	C₂²	1	1	yes	characteristic
153	#1936	C₂²	1	1	yes	characteristic
154	#1934	C₂²	1	1	yes	characteristic
155	#1934	C₂²	1	1	yes	characteristic
156	#1934	C₂²	1	1	yes	characteristic
157	#1934	C₂²	1	1	yes	characteristic
158	#1928	C₂²	1	1	yes	characteristic
159	#1927	C₂²	1	1	yes	characteristic
160	#1926	C₂²	1	1	yes	characteristic
161	#1925	C₂²	1	1	yes	characteristic
162	#1919	C₂²	1	1	yes	characteristic
163	#1919	C₂²	1	1	yes	characteristic
164	#1918	C₂²	1	1	yes	characteristic
165	#1918	C₂²	1	1	yes	characteristic
166	#1917	C₂²	1	1	yes	characteristic
167	#1917	C₂²	1	1	yes	characteristic
168	#1916	C₂²	1	1	yes	characteristic
169	#1916	C₂²	1	1	yes	characteristic
170	#1880	C₂²	1	1	yes	characteristic
171	#1880	C₂²	1	1	yes	characteristic
172	#1880	C₂²	1	1	yes	characteristic
173	#1880	C₂²	1	1	yes	characteristic
174	#1879	C₂²	1	1	yes	characteristic
175	#1879	C₂²	1	1	yes	characteristic
176	#1879	C₂²	1	1	yes	characteristic
177	#1879	C₂²	1	1	yes	characteristic
178	#1879	C₂²	1	1	yes	characteristic
179	#1879	C₂²	1	1	yes	characteristic
180	#1878	C₂²	1	1	yes	characteristic
181	#1878	C₂²	1	1	yes	characteristic
182	#1877	C₂²	1	1	yes	characteristic
183	#1877	C₂²	1	1	yes	characteristic
184	#1877	C₂²	1	1	yes	characteristic
185	#1877	C₂²	1	1	yes	characteristic
186	#1865	C₂²	1	1	yes	characteristic
187	#1865	C₂²	1	1	yes	characteristic
188	#1865	C₂²	1	1	yes	characteristic
189	#1864	C₂²	1	1	yes	characteristic
190	#1863	C₂²	1	1	yes	characteristic
191	#1863	C₂²	1	1	yes	characteristic
192	#1863	C₂²	1	1	yes	characteristic
193	#1862	C₂²	1	1	yes	characteristic
194	#1847	C₂²	1	1	yes	characteristic
195	#1846	C₂²	1	1	yes	characteristic
196	#1836	C₂²	1	1	yes	characteristic
197	#1768	C₂²	1	1	yes	characteristic
198	#1768	C₂²	1	1	yes	characteristic
199	#1767	C₂²	1	1	yes	characteristic
200	#1746	C₂²	1	1	yes	characteristic
201	#1744	C₂²	1	1	yes	characteristic
202	#1726	C₂²	1	1	yes	characteristic
203	C₂²×Q₁₆	C₂³	1	1	yes	characteristic
204	C₂²×Q₁₆	C₂³	1	1	yes	characteristic
205	C₂²×SD₁₆	C₂³	1	1	yes	characteristic
206	C₂²×SD₁₆	C₂³	1	1	yes	characteristic
207	C₂²×SD₁₆	C₂³	1	1	yes	characteristic
208	C₂²×SD₁₆	C₂³	1	1	yes	characteristic
209	C₂²×D₈	C₂³	1	1	yes	characteristic
210	C₂²×D₈	C₂³	1	1	yes	characteristic
211	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
212	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
213	C₂×#127	C₂³	1	1	yes	characteristic
214	C₂×#125	—	2	1	no	—
215	C₂×#125	C₂³	1	1	yes	characteristic
216	C₂×#125	C₂³	1	1	yes	characteristic
217	C₂×#124	C₂³	1	1	yes	characteristic
218	C₂×#124	C₂³	1	1	yes	characteristic
219	C₂×#124	C₂³	1	1	yes	characteristic
220	C₂×#124	C₂³	1	1	yes	characteristic
221	C₂×#124	C₂³	1	1	yes	characteristic
222	C₂×C₂²⋊Q₈	—	2	1	no	—
223	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
224	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
225	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
226	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
227	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
228	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
229	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
230	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
231	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
232	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
233	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
234	C₂²×C₄⋊C₄	—	2	1	no	—
235	#497	—	2	4	no	—
236	#496	—	2	4	no	—
237	#488	—	2	4	no	—
238	#478	—	4	2	no	—
239	#478	—	4	2	no	—
240	#476	—	4	2	no	—
241	#474	—	4	2	no	—
242	#464	—	4	2	no	—
243	#464	—	4	2	no	—
244	#463	—	4	2	no	—
245	#463	—	4	2	no	—
246	#441	—	4	2	no	—
247	#440	—	4	2	no	—
248	C₄×Q₁₆	—	4	2	no	—
249	C₄×SD₁₆	—	4	2	no	—
250	C₂×#107	C₂³	1	1	yes	characteristic
251	C₂×#107	C₂³	1	1	yes	characteristic
252	C₂×#107	C₂³	1	1	yes	characteristic
253	C₂×#107	C₂³	1	1	yes	characteristic
254	C₂×#106	C₂³	1	1	yes	characteristic
255	C₂×#106	C₂³	1	1	yes	characteristic
256	C₂×#106	C₂³	1	1	yes	characteristic
257	C₂×#106	C₂³	1	1	yes	characteristic
258	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
259	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
260	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
261	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
262	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
263	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
264	C₂×#103	C₂³	1	1	yes	characteristic
265	C₂×#103	C₂³	1	1	yes	characteristic
266	C₂×#103	C₂³	1	1	yes	characteristic
267	C₂×#103	C₂³	1	1	yes	characteristic
268	C₂×#103	C₂³	1	1	yes	characteristic
269	C₂×#103	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×#102	C₂³	1	1	yes	characteristic
281	C₂×#102	C₂³	1	1	yes	characteristic
282	C₂×#102	C₂³	1	1	yes	characteristic
283	C₂×#102	C₂³	1	1	yes	characteristic
284	C₂×#102	C₂³	1	1	yes	characteristic
285	C₂×#102	C₂³	1	1	yes	characteristic
286	C₂×#102	C₂³	1	1	yes	characteristic
287	C₂×#102	C₂³	1	1	yes	characteristic
288	C₂×#102	C₂³	1	1	yes	characteristic
289	C₂×#102	C₂³	1	1	yes	characteristic
290	C₂×#102	C₂³	1	1	yes	characteristic
291	C₂×#102	C₂³	1	1	yes	characteristic
292	C₂×#102	C₂³	1	1	yes	characteristic
293	C₂×#102	C₂³	1	1	yes	characteristic
294	C₂×#102	C₂³	1	1	yes	characteristic
295	C₂×#102	C₂³	1	1	yes	characteristic
296	C₂×#97	C₂³	1	1	yes	characteristic
297	C₂×#97	C₂³	1	1	yes	characteristic
298	C₂×#97	C₂³	1	1	yes	characteristic
299	C₂×#97	C₂³	1	1	yes	characteristic
300	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
301	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
302	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
303	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
304	#400	—	2	1	no	—
305	#400	—	2	1	no	—
306	#400	—	2	1	no	—
307	#400	—	2	1	no	—
308	#400	—	2	1	no	—
309	#400	—	2	1	no	—
310	#400	—	2	1	no	—
311	#399	—	2	1	no	—
312	#399	—	2	1	no	—
313	#399	—	2	1	no	—
314	#399	—	2	1	no	—
315	#398	—	2	1	no	—
316	#398	—	2	1	no	—
317	#398	—	2	1	no	—
318	#398	—	2	1	no	—
319	#398	—	2	1	no	—
320	#398	—	2	1	no	—
321	#398	—	2	1	no	—
322	#398	—	2	1	no	—
323	#397	—	2	1	no	—
324	#397	—	2	1	no	—
325	#397	—	2	1	no	—
326	#397	—	2	1	no	—
327	#397	—	2	1	no	—
328	#397	—	2	1	no	—
329	#397	—	2	1	no	—
330	#397	—	2	1	no	—
331	#396	—	2	1	no	—
332	#396	—	2	1	no	—
333	#395	—	2	1	no	—
334	#395	—	2	1	no	—
335	#395	—	2	1	no	—
336	#394	—	2	1	no	—
337	#394	—	2	1	no	—
338	#394	—	2	1	no	—
339	#394	—	2	1	no	—
340	#393	—	2	1	no	—
341	#393	—	2	1	no	—
342	#393	—	2	1	no	—
343	#393	—	2	1	no	—
344	#391	—	2	1	no	—
345	#391	—	2	1	no	—
346	#391	D₄	1	1	yes	characteristic
347	#391	D₄	1	1	yes	characteristic
348	#391	C₂³	1	1	yes	characteristic
349	#391	C₂³	1	1	yes	characteristic
350	#391	C₂³	1	1	yes	characteristic
351	#391	C₂³	1	1	yes	characteristic
352	#391	C₂³	1	1	yes	characteristic
353	#391	C₂³	1	1	yes	characteristic
354	#391	C₂³	1	1	yes	characteristic
355	#391	C₂³	1	1	yes	characteristic
356	#391	C₂³	1	1	yes	characteristic
357	#390	—	2	1	no	—
358	#390	—	2	1	no	—
359	#390	—	2	1	no	—
360	#390	—	2	1	no	—
361	#390	C₂³	1	1	yes	characteristic
362	#390	C₂³	1	1	yes	characteristic
363	#390	C₂³	1	1	yes	characteristic
364	#390	C₂³	1	1	yes	characteristic
365	#390	C₂³	1	1	yes	characteristic
366	#390	C₂³	1	1	yes	characteristic
367	#390	C₂³	1	1	yes	characteristic
368	#390	C₂³	1	1	yes	characteristic
369	#390	C₂³	1	1	yes	characteristic
370	#389	—	2	1	no	—
371	#389	—	2	1	no	—
372	#389	—	2	1	no	—
373	#389	—	2	1	no	—
374	#389	—	2	1	no	—
375	#389	—	2	1	no	—
376	#389	D₄	1	1	yes	characteristic
377	#389	D₄	1	1	yes	characteristic
378	#389	C₂³	1	1	yes	characteristic
379	#389	C₂³	1	1	yes	characteristic
380	#389	C₂³	1	1	yes	characteristic
381	#389	C₂³	1	1	yes	characteristic
382	#389	C₂³	1	1	yes	characteristic
383	#389	C₂³	1	1	yes	characteristic
384	#389	C₂³	1	1	yes	characteristic
385	#389	C₂³	1	1	yes	characteristic
386	#389	C₂³	1	1	yes	characteristic
387	#389	C₂³	1	1	yes	characteristic
388	#388	—	2	1	no	—
389	#388	—	2	1	no	—
390	#388	—	2	1	no	—
391	#388	—	2	1	no	—
392	#388	—	2	1	no	—
393	#388	—	2	1	no	—
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	D₄	1	1	yes	characteristic
415	#387	D₄	1	1	yes	characteristic
416	#387	D₄	1	1	yes	characteristic
417	#387	D₄	1	1	yes	characteristic
418	#386	—	2	1	no	—
419	#386	—	2	1	no	—
420	#386	—	2	1	no	—
421	#386	—	2	1	no	—
422	#385	—	2	1	no	—
423	#385	—	2	1	no	—
424	#385	—	2	1	no	—
425	#385	—	2	1	no	—
426	#385	—	2	1	no	—
427	#385	—	2	1	no	—
428	#385	—	2	1	no	—
429	#385	—	2	1	no	—
430	#385	—	2	1	no	—
431	#385	—	2	1	no	—
432	#385	—	2	1	no	—
433	#385	—	2	1	no	—
434	#385	—	2	1	no	—
435	#385	—	2	1	no	—
436	#384	C₂³	1	1	yes	characteristic
437	#384	C₂³	1	1	yes	characteristic
438	#384	C₂³	1	1	yes	characteristic
439	#382	—	2	1	no	—
440	#382	—	2	1	no	—
441	#382	C₂³	1	1	yes	characteristic
442	#382	C₂³	1	1	yes	characteristic
443	#382	C₂³	1	1	yes	characteristic
444	#381	—	2	1	no	—
445	#381	—	2	1	no	—
446	#380	—	2	1	no	—
447	#380	—	2	1	no	—
448	C₄×C₄⋊C₄	—	2	1	no	—
449	C₄×C₄⋊C₄	—	2	1	no	—
450	C₄×C₄⋊C₄	—	2	1	no	—
451	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
452	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
453	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
454	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
455	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
456	C₄×C₂²⋊C₄	—	2	1	no	—
457	C₄×C₂²⋊C₄	—	2	1	no	—
458	C₄×C₂²⋊C₄	—	2	1	no	—
459	C₄×C₂²⋊C₄	—	2	1	no	—
460	#376	C₂³	1	1	yes	characteristic
461	#376	C₂³	1	1	yes	characteristic
462	C₄³	C₂³	1	1	yes	characteristic
463	#340	C₂³	1	1	yes	characteristic
464	#340	C₂³	1	1	yes	characteristic
465	#340	C₂³	1	1	yes	characteristic
466	#340	C₂³	1	1	yes	characteristic
467	#340	C₂³	1	1	yes	characteristic
468	#340	C₂³	1	1	yes	characteristic
469	#340	C₂³	1	1	yes	characteristic
470	#340	C₂³	1	1	yes	characteristic
471	#340	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	#336	C₂³	1	1	yes	characteristic
480	#336	C₂³	1	1	yes	characteristic
481	#336	C₂³	1	1	yes	characteristic
482	#336	C₂³	1	1	yes	characteristic
483	#336	C₂³	1	1	yes	characteristic
484	#336	C₂³	1	1	yes	characteristic
485	#336	C₂³	1	1	yes	characteristic
486	#336	C₂³	1	1	yes	characteristic
487	#336	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	C₂²×Q₈	—	2	1	no	—
494	C₂²×Q₈	C₂×D₄	1	1	yes	characteristic
495	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
496	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
497	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
498	C₂²×D₄	—	2	1	no	—
499	C₂²×D₄	—	2	1	no	—
500	C₂²×D₄	C₂⁴	1	1	yes	characteristic
501	C₂²×D₄	C₂⁴	1	1	yes	characteristic
502	C₂²×D₄	C₂⁴	1	1	yes	characteristic
503	C₂³×C₄	—	2	1	no	—
504	C₂³×C₄	—	2	1	no	—
505	C₂³×C₄	—	2	1	no	—
506	C₂³×C₄	—	2	1	no	—
507	C₂³×C₄	—	2	1	no	—
508	C₂×Q₁₆	—	2	2	no	—
509	C₂×Q₁₆	—	2	2	no	—
510	C₂×Q₁₆	—	2	2	no	—
511	C₂×Q₁₆	—	2	2	no	—
512	C₂×Q₁₆	—	4	1	no	—
513	C₂×Q₁₆	—	4	1	no	—
514	C₂×SD₁₆	—	2	2	no	—
515	C₂×SD₁₆	—	2	2	no	—
516	C₂×SD₁₆	—	2	2	no	—
517	C₂×SD₁₆	—	2	2	no	—
518	C₂×SD₁₆	—	2	2	no	—
519	C₂×SD₁₆	—	2	2	no	—
520	C₂×SD₁₆	—	4	1	no	—
521	C₂×SD₁₆	—	4	1	no	—
522	C₂×SD₁₆	—	4	1	no	—
523	C₂×SD₁₆	—	4	1	no	—
524	C₂×SD₁₆	—	4	1	no	—
525	C₂×SD₁₆	—	4	1	no	—
526	C₂×D₈	—	2	2	no	—
527	C₂×D₈	—	2	2	no	—
528	C₂×D₈	—	4	1	no	—
529	C₂×D₈	—	4	1	no	—
530	C₂×D₈	—	4	1	no	—
531	C₂×D₈	—	4	1	no	—
532	C₂²×C₈	C₂⁴	1	1	yes	characteristic
533	C₂²×C₈	C₂⁴	1	1	yes	characteristic
534	C₂²×C₈	C₂⁴	1	1	yes	characteristic
535	C₂²×C₈	C₂⁴	1	1	yes	characteristic
536	C₂²×C₈	C₂⁴	1	1	yes	characteristic
537	C₂²×C₈	C₂⁴	1	1	yes	characteristic
538	C₂²×C₈	C₂⁴	1	1	yes	characteristic
539	C₂²×C₈	C₂⁴	1	1	yes	characteristic
540	C₄⋊Q₈	—	2	2	no	—
541	C₄⋊Q₈	—	2	2	no	—
542	C₄⋊Q₈	—	4	1	no	—
543	C₄⋊Q₈	—	4	1	no	—
544	#127	—	2	2	no	—
545	#127	—	2	2	no	—
546	#125	—	2	2	no	—
547	#125	—	2	2	no	—
548	#125	—	4	1	no	—
549	#125	—	4	1	no	—
550	#125	—	8	2	no	—
551	#124	—	2	2	no	—
552	#124	—	4	1	no	—
553	#124	—	4	1	no	—
554	#124	—	4	1	no	—
555	#124	—	4	1	no	—
556	#124	—	4	1	no	—
557	#124	—	4	1	no	—
558	#124	—	4	1	no	—
559	#124	—	4	1	no	—
560	#124	#41	1	4	yes	—
561	C₂²⋊Q₈	—	8	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	1	no	—
567	C₄×Q₈	—	4	1	no	—
568	C₄×Q₈	—	4	1	no	—
569	C₄×Q₈	—	4	1	no	—
570	C₄×Q₈	—	4	1	no	—
571	C₄×Q₈	—	4	1	no	—
572	C₄×Q₈	—	4	1	no	—
573	C₄×Q₈	—	4	1	no	—
574	C₄×D₄	—	4	1	no	—
575	C₄×D₄	—	4	1	no	—
576	C₄×D₄	—	4	1	no	—
577	C₄×D₄	—	4	1	no	—
578	C₄×D₄	—	4	1	no	—
579	C₄×D₄	—	4	1	no	—
580	C₄×D₄	—	4	1	no	—
581	C₄×D₄	—	4	1	no	—
582	C₄×D₄	—	4	1	no	—
583	C₄×D₄	—	4	1	no	—
584	C₂×C₄⋊C₄	—	2	1	no	—
585	C₂×C₄⋊C₄	—	2	1	no	—
586	C₂×C₄⋊C₄	—	2	1	no	—
587	C₂×C₄⋊C₄	—	2	1	no	—
588	C₂×C₄⋊C₄	—	2	1	no	—
589	C₂×C₄⋊C₄	—	2	1	no	—
590	C₂×C₄⋊C₄	—	2	1	no	—
591	C₂×C₄⋊C₄	—	2	1	no	—
592	C₂×C₄⋊C₄	—	2	1	no	—
593	C₂×C₄⋊C₄	—	2	1	no	—
594	C₂×C₄⋊C₄	—	2	1	no	—
595	C₂×C₄⋊C₄	—	2	1	no	—
596	C₂×C₄⋊C₄	—	2	1	no	—
597	C₂×C₄⋊C₄	—	2	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	—	8	2	no	—
613	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
614	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
615	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
616	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
617	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
618	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
619	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
620	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
621	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
622	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
623	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
624	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
625	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
626	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
627	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
628	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
629	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
630	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
631	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
632	C₂×C₂²⋊C₄	—	2	1	no	—
633	C₂×C₂²⋊C₄	—	2	1	no	—
634	C₂×C₂²⋊C₄	—	2	1	no	—
635	C₂×C₂²⋊C₄	—	2	1	no	—
636	C₂×C₂²⋊C₄	—	2	1	no	—
637	C₂×C₂²⋊C₄	—	2	1	no	—
638	C₂×C₂²⋊C₄	—	2	1	no	—
639	C₂×C₂²⋊C₄	—	2	1	no	—
640	C₂×C₂²⋊C₄	—	2	1	no	—
641	C₂×C₂²⋊C₄	—	2	1	no	—
642	C₂×C₂²⋊C₄	—	2	1	no	—
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	—	2	1	no	—
661	C₂×C₂²⋊C₄	—	2	1	no	—
662	C₂×C₂²⋊C₄	—	2	1	no	—
663	C₂×C₂²⋊C₄	—	2	1	no	—
664	C₂×C₂²⋊C₄	—	2	1	no	—
665	C₂×C₄²	—	2	1	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	—	2	1	no	—
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	C₂⁴	1	1	yes	characteristic
677	C₂×C₄²	C₂⁴	1	1	yes	characteristic
678	C₂×C₄²	C₂⁴	1	1	yes	characteristic
679	C₂×C₄²	C₂⁴	1	1	yes	characteristic
680	C₂×C₄²	C₂⁴	1	1	yes	characteristic
681	C₂×C₄²	C₂⁴	1	1	yes	characteristic
682	C₂×C₄²	C₂⁴	1	1	yes	characteristic
683	#107	—	2	2	no	—
684	#107	—	2	2	no	—
685	#107	—	4	1	no	—
686	#107	—	4	1	no	—
687	#106	—	2	2	no	—
688	#106	—	2	2	no	—
689	#106	—	4	1	no	—
690	#106	—	4	1	no	—
691	C₄⋊C₈	—	2	2	no	—
692	C₄⋊C₈	—	2	2	no	—
693	C₄⋊C₈	—	2	2	no	—
694	C₄⋊C₈	—	2	2	no	—
695	C₄⋊C₈	—	4	1	no	—
696	C₄⋊C₈	—	4	1	no	—
697	#103	—	2	2	no	—
698	#103	—	2	2	no	—
699	#103	—	4	1	no	—
700	#103	—	4	1	no	—
701	#103	—	4	1	no	—
702	#103	—	4	1	no	—
703	#103	—	4	1	no	—
704	#103	—	4	1	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	#102	—	2	2	no	—
714	#102	—	2	2	no	—
715	#102	—	2	2	no	—
716	#102	—	2	2	no	—
717	#102	—	2	2	no	—
718	#102	—	2	2	no	—
719	#102	—	4	1	no	—
720	#102	—	4	1	no	—
721	#102	—	4	1	no	—
722	#102	—	4	1	no	—
723	#102	—	4	1	no	—
724	#102	—	4	1	no	—
725	#102	—	4	1	no	—
726	#102	—	4	1	no	—
727	#102	—	4	1	no	—
728	#102	—	4	1	no	—
729	#97	—	2	2	no	—
730	#97	—	2	2	no	—
731	#97	—	2	2	no	—
732	#97	—	4	1	no	—
733	C₄×C₈	—	2	2	no	—
734	C₄×C₈	—	2	2	no	—
735	C₄×C₈	—	2	2	no	—
736	C₄×C₈	—	4	1	no	—
737	#95	—	2	1	no	—
738	#95	—	2	1	no	—
739	#95	—	2	1	no	—
740	#95	—	2	1	no	—
741	#95	—	2	1	no	—
742	#95	—	2	1	no	—
743	#95	—	2	1	no	—
744	#95	—	2	1	no	—
745	#95	—	2	1	no	—
746	#95	—	2	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	C₂×D₄	1	1	yes	characteristic
774	#95	C₂×D₄	1	1	yes	characteristic
775	#95	C₂×D₄	1	1	yes	characteristic
776	#95	C₂×D₄	1	1	yes	characteristic
777	#95	C₂×D₄	1	1	yes	characteristic
778	#95	C₂×D₄	1	1	yes	characteristic
779	#95	C₂×D₄	1	1	yes	characteristic
780	#95	C₂×D₄	1	1	yes	characteristic
781	#95	C₂×D₄	1	1	yes	characteristic
782	#95	C₂×D₄	1	1	yes	characteristic
783	#95	C₂×D₄	1	1	yes	characteristic
784	#95	C₂×D₄	1	1	yes	characteristic
785	#95	C₂×D₄	1	1	yes	characteristic
786	#95	C₂×D₄	1	1	yes	characteristic
787	C₂⁴	—	2	1	no	—
788	C₂⁴	—	2	1	no	—
789	C₂⁴	—	2	1	no	—
790	C₂×Q₈	—	2	1	no	—
791	C₂×Q₈	—	2	1	no	—
792	C₂×Q₈	—	2	1	no	—
793	C₂×Q₈	—	2	1	no	—
794	C₂×Q₈	—	2	1	no	—
795	C₂×Q₈	—	2	1	no	—
796	C₂×Q₈	—	2	1	no	—
797	C₂×Q₈	—	2	1	no	—
798	C₂×Q₈	—	2	1	no	—
799	C₂×Q₈	—	2	1	no	—
800	C₂×Q₈	—	2	1	no	—
801	C₂×Q₈	—	2	1	no	—
802	C₂×Q₈	—	2	1	no	—
803	C₂×Q₈	—	2	1	no	—
804	C₂×Q₈	—	2	1	no	—
805	C₂×Q₈	—	2	1	no	—
806	C₂×Q₈	—	2	1	no	—
807	C₂×Q₈	—	4	1	no	—
808	C₂×Q₈	—	4	1	no	—
809	C₂×Q₈	—	4	1	no	—
810	C₂×Q₈	—	8	1	no	—
811	C₂×Q₈	—	8	1	no	—
812	C₂×Q₈	—	8	1	no	—
813	C₂×Q₈	C₂×#41	1	2	yes	—
814	C₂×D₄	—	2	1	no	—
815	C₂×D₄	—	2	1	no	—
816	C₂×D₄	—	2	1	no	—
817	C₂×D₄	—	2	1	no	—
818	C₂×D₄	—	2	1	no	—
819	C₂×D₄	—	2	1	no	—
820	C₂×D₄	—	2	1	no	—
821	C₂×D₄	—	2	1	no	—
822	C₂×D₄	—	2	1	no	—
823	C₂×D₄	—	2	1	no	—
824	C₂×D₄	—	2	1	no	—
825	C₂×D₄	—	2	1	no	—
826	C₂×D₄	—	2	1	no	—
827	C₂×D₄	—	2	1	no	—
828	C₂×D₄	—	2	1	no	—
829	C₂×D₄	—	2	1	no	—
830	C₂×D₄	—	2	1	no	—
831	C₂×D₄	—	4	2	no	—
832	C₂×D₄	—	4	2	no	—
833	C₂×D₄	—	8	1	no	—
834	C₂×D₄	—	8	1	no	—
835	C₂×D₄	—	8	1	no	—
836	C₂×D₄	—	8	1	no	—
837	C₂×D₄	C₂×#41	1	2	yes	—
838	C₂²×C₄	—	2	1	no	—
839	C₂²×C₄	—	2	1	no	—
840	C₂²×C₄	—	2	1	no	—
841	C₂²×C₄	—	2	1	no	—
842	C₂²×C₄	—	2	1	no	—
843	C₂²×C₄	—	2	1	no	—
844	C₂²×C₄	—	2	1	no	—
845	C₂²×C₄	—	2	1	no	—
846	C₂²×C₄	—	2	1	no	—
847	C₂²×C₄	—	2	1	no	—
848	C₂²×C₄	—	2	1	no	—
849	C₂²×C₄	—	2	1	no	—
850	C₂²×C₄	—	2	1	no	—
851	C₂²×C₄	—	4	2	no	—
852	C₂²×C₄	—	4	2	no	—
853	C₂²×C₄	—	8	1	no	—
854	C₂²×C₄	—	8	1	no	—
855	C₂²×C₄	—	8	1	no	—
856	C₂²×C₄	—	8	1	no	—
857	C₂²×C₄	—	8	1	no	—
858	C₂²×C₄	—	8	1	no	—
859	C₂²×C₄	—	8	1	no	—
860	C₂²×C₄	—	8	1	no	—
861	C₂²×C₄	—	8	1	no	—
862	C₂²×C₄	—	8	1	no	—
863	C₂²×C₄	—	8	1	no	—
864	C₂²×C₄	—	8	1	no	—
865	C₂²×C₄	—	8	1	no	—
866	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
867	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
868	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
869	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
870	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
871	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
872	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
873	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
874	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
875	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
876	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
877	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
878	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
879	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
880	C₂²×C₄	C₂⁵	1	1	yes	characteristic
881	Q₁₆	—	4	4	no	—
882	Q₁₆	—	4	4	no	—
883	SD₁₆	—	4	4	no	—
884	SD₁₆	—	4	4	no	—
885	SD₁₆	—	8	2	no	—
886	SD₁₆	—	8	2	no	—
887	D₈	—	8	2	no	—
888	D₈	—	8	2	no	—
889	C₂×C₈	—	2	1	no	—
890	C₂×C₈	—	2	1	no	—
891	C₂×C₈	—	2	1	no	—
892	C₂×C₈	—	2	1	no	—
893	C₂×C₈	—	2	1	no	—
894	C₂×C₈	—	2	1	no	—
895	C₂×C₈	—	2	1	no	—
896	C₂×C₈	—	2	1	no	—
897	C₂×C₈	—	2	1	no	—
898	C₂×C₈	—	2	1	no	—
899	C₂×C₈	—	2	1	no	—
900	C₂×C₈	—	2	1	no	—
901	C₂×C₈	—	2	1	no	—
902	C₂×C₈	—	2	1	no	—
903	C₂×C₈	—	2	1	no	—
904	C₂×C₈	—	2	1	no	—
905	C₂×C₈	—	2	1	no	—
906	C₂×C₈	—	2	1	no	—
907	C₂×C₈	—	2	1	no	—
908	C₂×C₈	—	2	1	no	—
909	C₂×C₈	—	2	1	no	—
910	C₂×C₈	—	2	1	no	—
911	C₂×C₈	H(5,𝔽₂)	1	2	yes	—
912	C₂×C₈	H(5,𝔽₂)	1	2	yes	—
913	C₄⋊C₄	—	2	1	no	—
914	C₄⋊C₄	—	2	1	no	—
915	C₄⋊C₄	—	2	1	no	—
916	C₄⋊C₄	—	2	1	no	—
917	C₄⋊C₄	—	2	1	no	—
918	C₄⋊C₄	—	2	1	no	—
919	C₄⋊C₄	—	2	1	no	—
920	C₄⋊C₄	—	2	1	no	—
921	C₄⋊C₄	—	2	1	no	—
922	C₄⋊C₄	—	2	1	no	—
923	C₄⋊C₄	—	2	1	no	—
924	C₄⋊C₄	—	2	1	no	—
925	C₄⋊C₄	—	2	1	no	—
926	C₄⋊C₄	—	2	1	no	—
927	C₄⋊C₄	—	2	1	no	—
928	C₄⋊C₄	—	2	1	no	—
929	C₄⋊C₄	—	2	1	no	—
930	C₄⋊C₄	—	2	1	no	—
931	C₄⋊C₄	—	2	1	no	—
932	C₄⋊C₄	—	2	1	no	—
933	C₄⋊C₄	—	4	1	no	—
934	C₄⋊C₄	—	4	1	no	—
935	C₄⋊C₄	—	4	1	no	—
936	C₄⋊C₄	—	4	1	no	—
937	C₄⋊C₄	—	4	1	no	—
938	C₄⋊C₄	—	4	1	no	—
939	C₄⋊C₄	—	4	1	no	—
940	C₄⋊C₄	—	4	1	no	—
941	C₄⋊C₄	—	4	1	no	—
942	C₄⋊C₄	—	4	2	no	—
943	C₄⋊C₄	—	4	2	no	—
944	C₄⋊C₄	—	4	2	no	—
945	C₄⋊C₄	—	4	2	no	—
946	C₄⋊C₄	—	4	2	no	—
947	C₄⋊C₄	—	4	2	no	—
948	C₄⋊C₄	—	4	2	no	—
949	C₄⋊C₄	—	8	1	no	—
950	C₄⋊C₄	—	8	1	no	—
951	C₄⋊C₄	—	8	1	no	—
952	C₄⋊C₄	—	8	1	no	—
953	C₄⋊C₄	—	8	1	no	—
954	C₄⋊C₄	—	8	1	no	—
955	C₄⋊C₄	—	8	1	no	—
956	C₄⋊C₄	—	8	1	no	—
957	C₄⋊C₄	—	8	1	no	—
958	C₄⋊C₄	—	8	1	no	—
959	C₄⋊C₄	—	8	1	no	—
960	C₄⋊C₄	—	8	1	no	—
961	C₄⋊C₄	—	8	1	no	—
962	C₄⋊C₄	—	8	1	no	—
963	C₄⋊C₄	—	8	1	no	—
964	C₄⋊C₄	—	8	1	no	—
965	C₄⋊C₄	—	8	1	no	—
966	C₄⋊C₄	—	8	1	no	—
967	C₄⋊C₄	—	8	1	no	—
968	C₄⋊C₄	—	8	1	no	—
969	C₄⋊C₄	—	8	1	no	—
970	C₂²⋊C₄	—	2	4	no	—
971	C₂²⋊C₄	—	2	4	no	—
972	C₂²⋊C₄	—	4	2	no	—
973	C₂²⋊C₄	—	4	2	no	—
974	C₂²⋊C₄	—	4	2	no	—
975	C₂²⋊C₄	—	4	2	no	—
976	C₂²⋊C₄	—	4	2	no	—
977	C₂²⋊C₄	—	4	2	no	—
978	C₂²⋊C₄	—	8	1	no	—
979	C₂²⋊C₄	—	8	1	no	—
980	C₂²⋊C₄	—	8	1	no	—
981	C₂²⋊C₄	—	8	1	no	—
982	C₂²⋊C₄	—	8	1	no	—
983	C₂²⋊C₄	—	8	1	no	—
984	C₂²⋊C₄	—	8	1	no	—
985	C₂²⋊C₄	—	8	1	no	—
986	C₂²⋊C₄	—	8	1	no	—
987	C₂²⋊C₄	—	8	1	no	—
988	C₂²⋊C₄	—	8	1	no	—
989	C₂²⋊C₄	—	8	1	no	—
990	C₂²⋊C₄	—	8	1	no	—
991	C₂²⋊C₄	—	8	1	no	—
992	C₂²⋊C₄	—	8	1	no	—
993	C₂²⋊C₄	—	8	1	no	—
994	C₂²⋊C₄	—	8	1	no	—
995	C₂²⋊C₄	—	8	1	no	—
996	C₂²⋊C₄	—	8	1	no	—
997	C₂²⋊C₄	—	8	1	no	—
998	C₂²⋊C₄	—	8	1	no	—
999	C₂²⋊C₄	—	8	1	no	—
1000	C₂²⋊C₄	—	8	1	no	—
1001	C₂²⋊C₄	—	8	1	no	—
1002	C₂²⋊C₄	—	8	1	no	—
1003	C₄²	—	2	1	no	—
1004	C₄²	—	2	1	no	—
1005	C₄²	—	2	1	no	—
1006	C₄²	—	2	1	no	—
1007	C₄²	—	2	1	no	—
1008	C₄²	—	2	1	no	—
1009	C₄²	—	2	1	no	—
1010	C₄²	—	2	1	no	—
1011	C₄²	—	2	1	no	—
1012	C₄²	—	2	1	no	—
1013	C₄²	—	2	1	no	—
1014	C₄²	—	2	1	no	—
1015	C₄²	—	4	1	no	—
1016	C₄²	—	4	1	no	—
1017	C₄²	—	4	1	no	—
1018	C₄²	—	4	1	no	—
1019	C₄²	—	4	2	no	—
1020	C₄²	—	8	1	no	—
1021	C₄²	—	8	1	no	—
1022	C₄²	—	8	1	no	—
1023	C₄²	—	8	1	no	—
1024	C₄²	—	8	1	no	—
1025	C₄²	—	8	1	no	—
1026	C₄²	C₂×#41	1	2	yes	—
1027	C₄²	2₋¹⁺⁴	1	2	yes	—
1028	C₂³	—	2	2	no	—
1029	C₂³	—	4	1	no	—
1030	C₂³	—	4	1	no	—
1031	C₂³	—	4	1	no	—
1032	C₂³	—	4	1	no	—
1033	C₂³	—	4	1	no	—
1034	C₂³	—	4	1	no	—
1035	C₂³	—	4	1	no	—
1036	C₂³	—	4	1	no	—
1037	C₂³	—	4	1	no	—
1038	C₂³	—	4	1	no	—
1039	C₂³	—	4	1	no	—
1040	C₂³	—	4	1	no	—
1041	C₂³	—	4	1	no	—
1042	C₂³	—	4	1	no	—
1043	C₂³	—	4	1	no	—
1044	C₂³	—	4	1	no	—
1045	C₂³	—	4	1	no	—
1046	C₂³	—	4	1	no	—
1047	C₂³	—	4	1	no	—
1048	C₂³	—	4	1	no	—
1049	C₂³	C₂³×D₄	1	1	yes	characteristic
1050	Q₈	—	2	2	no	—
1051	Q₈	—	2	2	no	—
1052	Q₈	—	4	1	no	—
1053	Q₈	—	4	1	no	—
1054	Q₈	—	4	1	no	—
1055	Q₈	—	4	1	no	—
1056	Q₈	—	4	1	no	—
1057	Q₈	—	4	1	no	—
1058	Q₈	—	4	1	no	—
1059	Q₈	—	4	1	no	—
1060	Q₈	—	4	1	no	—
1061	Q₈	—	4	1	no	—
1062	Q₈	—	8	2	no	—
1063	Q₈	—	16	2	no	—
1064	D₄	—	2	2	no	—
1065	D₄	—	2	2	no	—
1066	D₄	—	4	1	no	—
1067	D₄	—	4	1	no	—
1068	D₄	—	4	1	no	—
1069	D₄	—	4	1	no	—
1070	D₄	—	4	1	no	—
1071	D₄	—	4	1	no	—
1072	D₄	—	4	1	no	—
1073	D₄	—	4	1	no	—
1074	D₄	—	4	1	no	—
1075	D₄	—	4	1	no	—
1076	D₄	—	16	2	no	—
1077	D₄	—	16	2	no	—
1078	C₂×C₄	—	2	1	no	—
1079	C₂×C₄	—	2	1	no	—
1080	C₂×C₄	—	2	1	no	—
1081	C₂×C₄	—	2	1	no	—
1082	C₂×C₄	—	2	1	no	—
1083	C₂×C₄	—	2	1	no	—
1084	C₂×C₄	—	2	1	no	—
1085	C₂×C₄	—	2	1	no	—
1086	C₂×C₄	—	2	1	no	—
1087	C₂×C₄	—	2	1	no	—
1088	C₂×C₄	—	2	1	no	—
1089	C₂×C₄	—	2	1	no	—
1090	C₂×C₄	—	2	1	no	—
1091	C₂×C₄	—	2	1	no	—
1092	C₂×C₄	—	2	1	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	1	no	—
1102	C₂×C₄	—	2	1	no	—
1103	C₂×C₄	—	2	1	no	—
1104	C₂×C₄	—	2	1	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	2	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	—	4	1	no	—
1120	C₂×C₄	—	4	1	no	—
1121	C₂×C₄	—	4	1	no	—
1122	C₂×C₄	—	4	1	no	—
1123	C₂×C₄	—	4	1	no	—
1124	C₂×C₄	—	4	1	no	—
1125	C₂×C₄	—	4	1	no	—
1126	C₂×C₄	—	4	1	no	—
1127	C₂×C₄	—	4	1	no	—
1128	C₂×C₄	—	4	1	no	—
1129	C₂×C₄	—	4	1	no	—
1130	C₂×C₄	—	4	1	no	—
1131	C₂×C₄	—	4	1	no	—
1132	C₂×C₄	—	4	1	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	—	8	4	no	—
1158	C₂×C₄	—	16	2	no	—
1159	C₂×C₄	—	16	2	no	—
1160	C₂×C₄	—	16	2	no	—
1161	C₂×C₄	—	16	2	no	—
1162	C₂×C₄	#548	1	2	yes	—
1163	C₂×C₄	#548	1	2	yes	—
1164	C₂×C₄	C₂²×#41	1	1	yes	characteristic
1165	C₂×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1166	C₂×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1167	C₂×C₄	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1168	C₂×C₄	#585	1	1	yes	characteristic
1169	C₂×C₄	#585	1	1	yes	characteristic
1170	C₈	—	2	2	no	—
1171	C₈	—	2	2	no	—
1172	C₈	—	4	1	no	—
1173	C₈	—	4	1	no	—
1174	C₈	—	4	1	no	—
1175	C₈	—	4	1	no	—
1176	C₈	—	4	1	no	—
1177	C₈	—	4	1	no	—
1178	C₂²	—	4	2	no	—
1179	C₂²	—	4	2	no	—
1180	C₂²	—	4	2	no	—
1181	C₂²	—	8	1	no	—
1182	C₂²	—	8	1	no	—
1183	C₂²	—	8	1	no	—
1184	C₂²	—	8	1	no	—
1185	C₂²	—	8	1	no	—
1186	C₂²	—	8	1	no	—
1187	C₂²	—	8	1	no	—
1188	C₂²	—	8	1	no	—
1189	C₂²	—	8	1	no	—
1190	C₂²	—	8	1	no	—
1191	C₂²	—	8	1	no	—
1192	C₂²	—	8	1	no	—
1193	C₂²	—	8	1	no	—
1194	C₂²	—	8	1	no	—
1195	C₂²	—	8	1	no	—
1196	C₂²	—	8	1	no	—
1197	C₂²	—	8	1	no	—
1198	C₂²	—	8	1	no	—
1199	C₂²	#3449	1	1	yes	characteristic
1200	C₂²	C₂×#548	1	1	yes	characteristic
1201	C₂²	#3498	1	1	yes	characteristic
1202	C₂²	#3584	1	1	yes	characteristic
1203	C₂²	#3584	1	1	yes	characteristic
1204	C₂²	#3585	1	1	yes	characteristic
1205	C₂²	#3586	1	1	yes	characteristic
1206	C₄	—	2	2	no	—
1207	C₄	—	2	2	no	—
1208	C₄	—	4	1	no	—
1209	C₄	—	4	1	no	—
1210	C₄	—	4	1	no	—
1211	C₄	—	4	1	no	—
1212	C₄	—	4	1	no	—
1213	C₄	—	4	1	no	—
1214	C₄	—	4	1	no	—
1215	C₄	—	4	1	no	—
1216	C₄	—	4	1	no	—
1217	C₄	—	4	2	no	—
1218	C₄	—	4	1	no	—
1219	C₄	—	4	1	no	—
1220	C₄	—	4	1	no	—
1221	C₄	—	8	1	no	—
1222	C₄	—	8	1	no	—
1223	C₄	—	8	1	no	—
1224	C₄	—	8	1	no	—
1225	C₄	—	8	1	no	—
1226	C₄	—	8	1	no	—
1227	C₄	—	8	1	no	—
1228	C₄	—	8	1	no	—
1229	C₄	—	8	1	no	—
1230	C₄	—	8	1	no	—
1231	C₄	—	8	1	no	—
1232	C₄	—	8	1	no	—
1233	C₄	#3513	1	1	yes	characteristic
1234	C₄	#3513	1	1	yes	characteristic
1235	C₄	#3554	1	1	yes	characteristic
1236	C₄	#3554	1	1	yes	characteristic
1237	C₂	—	8	2	no	—
1238	C₂	—	16	1	no	—
1239	C₂	—	16	1	no	—
1240	C₂	#39161	1	1	yes	characteristic
1241	C₂	#60987	1	1	yes	characteristic
1242	C₂	#60997	1	1	yes	characteristic
1243	C₂	#61331	1	1	yes	characteristic
1244	C₂	#61336	1	1	yes	characteristic
1245	C₂	#62462	1	1	yes	characteristic
1246	C₂	#62468	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³	C₂³×D₄
commutator, Frattini, cosocle	C₂²×C₄	C₂⁵
prime radical	C₂×#496	C₂²
LCS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³ ◁ #2295 ◁ G
LECS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁

Complements

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

N	H ≅ G/N	type
1. #39766	C₂	semidirect
2. #39674	C₂	semidirect
3. #33284	C₂	semidirect
4. #32622	C₂	semidirect
5. #32616	C₂	semidirect
6. #32611	C₂	semidirect
7. #32597	C₂	semidirect
8. #31176	C₂	semidirect
9. #31170	C₂	semidirect
10. #31160	C₂	semidirect
11. #31154	C₂	semidirect
12. #30219	C₂	semidirect
13. #30210	C₂	semidirect
14. #29202	C₂	semidirect
15. #29183	C₂	semidirect
17. #28629	C₂	semidirect
18. #28525	C₂	semidirect
20. #26917	C₂	semidirect
21. #26908	C₂	semidirect
22. #26900	C₂	semidirect
23. #26893	C₂	semidirect
24. #26189	C₂	semidirect
25. #26188	C₂	semidirect
26. #26173	C₂	semidirect
27. #26172	C₂	semidirect
29. #22222	C₂	semidirect
30. #21703	C₂	semidirect
31. #21347	C₂	semidirect

Maximal subgroups

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

subgroup	index
#39766	2
#39674	2
#33284	2
#32622	2
#32616	2
#32611	2
#32597	2
#31176	2
#31170	2
#31160	2
#31154	2
#30219	2
#30210	2
#29202	2
#29183	2
#28630	2
#28629	2
#28525	2
#28446	2
#26917	2
#26908	2
#26900	2
#26893	2
#26189	2
#26188	2
#26173	2
#26172	2
#22279	2
#22222	2
#21703	2
#21347	2