Subgroups — #7615361

Order 512.

1594 conjugacy classes of subgroups.

The subgroup lattice has 1265 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#59909	C₂	1	1	yes	maximal, characteristic, complemented
2	#59823	C₂	1	1	yes	maximal, characteristic, complemented
3	#32655	C₂	1	1	yes	maximal, characteristic, complemented
4	#32654	C₂	1	1	yes	maximal, characteristic, complemented
5	#32649	C₂	1	1	yes	maximal, characteristic, complemented
6	#32648	C₂	1	1	yes	maximal, characteristic, complemented
7	#28838	C₂	1	1	yes	maximal, characteristic, complemented
8	#28837	C₂	1	1	yes	maximal, characteristic, complemented
9	#28548	C₂	1	1	yes	maximal, characteristic, complemented
10	#28545	C₂	1	1	yes	maximal, characteristic, complemented
11	#28286	C₂	1	1	yes	maximal, characteristic, complemented
12	#28282	C₂	1	1	yes	maximal, characteristic, complemented
13	#28276	C₂	1	1	yes	maximal, characteristic, complemented
14	#28275	C₂	1	1	yes	maximal, characteristic, complemented
15	#28264	C₂	1	1	yes	maximal, characteristic, complemented
16	#28263	C₂	1	1	yes	maximal, characteristic, complemented
17	#26544	C₂	1	1	yes	maximal, characteristic, complemented
18	#26542	C₂	1	1	yes	maximal, characteristic, complemented
19	#26541	C₂	1	1	yes	maximal, characteristic, complemented
20	#26538	C₂	1	1	yes	maximal, characteristic, complemented
21	#24829	C₂	1	1	yes	maximal, characteristic, complemented
22	#24827	C₂	1	1	yes	maximal, characteristic, complemented
23	#24825	C₂	1	1	yes	maximal, characteristic, complemented
24	#24823	C₂	1	1	yes	maximal, characteristic, complemented
25	#23195	C₂	1	1	yes	maximal, characteristic
26	#23193	C₂	1	1	yes	maximal, characteristic
27	#22677	C₂	1	1	yes	maximal, characteristic, complemented
28	#22676	C₂	1	1	yes	maximal, characteristic, complemented
29	#21731	C₂	1	1	yes	maximal, characteristic, complemented
30	#21714	C₂	1	1	yes	maximal, characteristic, complemented
31	#21701	C₂	1	1	yes	maximal, characteristic
32	C₂×#554	—	2	1	no	—
33	C₂×#501	C₂²	1	1	yes	characteristic
34	C₂×#496	C₂²	1	1	yes	characteristic
35	C₂×#477	C₂²	1	1	yes	characteristic
36	C₂×#478	C₂²	1	1	yes	characteristic
37	C₂×#478	C₂²	1	1	yes	characteristic
38	C₂×#476	C₂²	1	1	yes	characteristic
39	C₂×#446	C₂²	1	1	yes	characteristic
40	C₂×C₈×Q₈	C₂²	1	1	yes	characteristic
41	C₂×#442	C₂²	1	1	yes	characteristic
42	C₂×#442	C₂²	1	1	yes	characteristic
43	C₂×#442	C₂²	1	1	yes	characteristic
44	C₂×#440	C₂²	1	1	yes	characteristic
45	C₂×#440	C₂²	1	1	yes	characteristic
46	C₂×#440	C₂²	1	1	yes	characteristic
47	C₂×C₄×SD₁₆	C₂²	1	1	yes	characteristic
48	C₂×C₄×D₈	C₂²	1	1	yes	characteristic
49	#2790	—	2	1	no	—
50	#2732	—	2	1	no	—
51	#2732	—	2	1	no	—
52	#2729	—	2	1	no	—
53	#2587	—	2	1	no	—
54	#2582	C₂²	1	1	yes	characteristic
55	#2581	C₂²	1	1	yes	characteristic
56	#2580	C₂²	1	1	yes	characteristic
57	#2574	—	2	1	no	—
58	#2570	C₂²	1	1	yes	characteristic
59	#2570	C₂²	1	1	yes	characteristic
60	#2566	C₂²	1	1	yes	characteristic
61	#2565	C₂²	1	1	yes	characteristic
62	#2552	C₂²	1	1	yes	characteristic
63	#2552	C₂²	1	1	yes	characteristic
64	#2542	C₂²	1	1	yes	characteristic
65	#2542	C₂²	1	1	yes	characteristic
66	#2538	—	2	1	no	—
67	#2538	C₂²	1	1	yes	characteristic
68	#2538	C₂²	1	1	yes	characteristic
69	#2538	C₂²	1	1	yes	characteristic
70	#2538	C₂²	1	1	yes	characteristic
71	#2538	C₂²	1	1	yes	characteristic
72	#2522	—	2	1	no	—
73	#2522	—	2	1	no	—
74	#2505	—	2	1	no	—
75	#2454	—	2	1	no	—
76	#2454	—	2	1	no	—
77	#2417	—	2	1	no	—
78	#2417	—	2	1	no	—
79	#2368	—	2	1	no	—
80	#2367	C₂²	1	1	yes	characteristic
81	#2367	C₂²	1	1	yes	characteristic
82	#2366	C₂²	1	1	yes	characteristic
83	#2366	C₂²	1	1	yes	characteristic
84	#2351	C₂²	1	1	yes	characteristic
85	#2349	C₂²	1	1	yes	characteristic
86	D₄×C₄⋊C₄	C₂²	1	1	yes	characteristic
87	D₄×C₄⋊C₄	C₂²	1	1	yes	characteristic
88	C₄×C₄⋊Q₈	C₂²	1	1	yes	characteristic
89	C₄×C₄⋊Q₈	C₂²	1	1	yes	characteristic
90	C₄×#127	C₂²	1	1	yes	characteristic
91	C₄×#125	C₂²	1	1	yes	characteristic
92	C₄×#124	C₂²	1	1	yes	characteristic
93	#2096	C₂²	1	1	yes	characteristic
94	#2095	C₂²	1	1	yes	characteristic
95	#2094	C₂²	1	1	yes	characteristic
96	#2094	C₂²	1	1	yes	characteristic
97	#2093	C₂²	1	1	yes	characteristic
98	#2093	C₂²	1	1	yes	characteristic
99	#2092	C₂²	1	1	yes	characteristic
100	#2092	C₂²	1	1	yes	characteristic
101	#2085	C₂²	1	1	yes	characteristic
102	#2085	C₂²	1	1	yes	characteristic
103	#2084	C₂²	1	1	yes	characteristic
104	#2084	C₂²	1	1	yes	characteristic
105	#2084	C₂²	1	1	yes	characteristic
106	#2083	C₂²	1	1	yes	characteristic
107	#2083	C₂²	1	1	yes	characteristic
108	#2083	C₂²	1	1	yes	characteristic
109	#2068	C₂²	1	1	yes	characteristic
110	#2067	C₂²	1	1	yes	characteristic
111	#2067	C₂²	1	1	yes	characteristic
112	#2067	C₂²	1	1	yes	characteristic
113	#2067	C₂²	1	1	yes	characteristic
114	#2067	C₂²	1	1	yes	characteristic
115	#2067	C₂²	1	1	yes	characteristic
116	#2067	C₂²	1	1	yes	characteristic
117	#2066	C₂²	1	1	yes	characteristic
118	#2066	C₂²	1	1	yes	characteristic
119	#2066	C₂²	1	1	yes	characteristic
120	#2065	C₂²	1	1	yes	characteristic
121	#2065	C₂²	1	1	yes	characteristic
122	#2065	C₂²	1	1	yes	characteristic
123	#2065	C₂²	1	1	yes	characteristic
124	#2065	C₂²	1	1	yes	characteristic
125	#1993	C₂²	1	1	yes	characteristic
126	#1992	C₂²	1	1	yes	characteristic
127	#1984	C₂²	1	1	yes	characteristic
128	#1984	C₂²	1	1	yes	characteristic
129	#1983	C₂²	1	1	yes	characteristic
130	#1983	C₂²	1	1	yes	characteristic
131	#1982	C₂²	1	1	yes	characteristic
132	#1982	C₂²	1	1	yes	characteristic
133	#1973	C₂²	1	1	yes	characteristic
134	#1972	C₂²	1	1	yes	characteristic
135	#1970	C₂²	1	1	yes	characteristic
136	#1970	C₂²	1	1	yes	characteristic
137	#1970	C₂²	1	1	yes	characteristic
138	#1968	C₂²	1	1	yes	characteristic
139	#1968	C₂²	1	1	yes	characteristic
140	#1968	C₂²	1	1	yes	characteristic
141	#1961	C₂²	1	1	yes	characteristic
142	#1959	C₂²	1	1	yes	characteristic
143	#1949	C₂²	1	1	yes	characteristic
144	#1949	C₂²	1	1	yes	characteristic
145	#1948	C₂²	1	1	yes	characteristic
146	#1947	C₂²	1	1	yes	characteristic
147	#1944	C₂²	1	1	yes	characteristic
148	#1943	C₂²	1	1	yes	characteristic
149	#1942	C₂²	1	1	yes	characteristic
150	#1942	C₂²	1	1	yes	characteristic
151	#1942	C₂²	1	1	yes	characteristic
152	#1941	C₂²	1	1	yes	characteristic
153	#1941	C₂²	1	1	yes	characteristic
154	#1941	C₂²	1	1	yes	characteristic
155	#1940	C₂²	1	1	yes	characteristic
156	#1940	C₂²	1	1	yes	characteristic
157	#1940	C₂²	1	1	yes	characteristic
158	#1940	C₂²	1	1	yes	characteristic
159	#1880	C₂²	1	1	yes	characteristic
160	#1880	C₂²	1	1	yes	characteristic
161	#1879	C₂²	1	1	yes	characteristic
162	#1879	C₂²	1	1	yes	characteristic
163	#1879	C₂²	1	1	yes	characteristic
164	#1879	C₂²	1	1	yes	characteristic
165	#1877	C₂²	1	1	yes	characteristic
166	#1877	C₂²	1	1	yes	characteristic
167	#1865	C₂²	1	1	yes	characteristic
168	#1864	C₂²	1	1	yes	characteristic
169	#1864	C₂²	1	1	yes	characteristic
170	#1864	C₂²	1	1	yes	characteristic
171	#1863	C₂²	1	1	yes	characteristic
172	#1862	C₂²	1	1	yes	characteristic
173	#1862	C₂²	1	1	yes	characteristic
174	#1862	C₂²	1	1	yes	characteristic
175	#1847	C₂²	1	1	yes	characteristic
176	#1847	C₂²	1	1	yes	characteristic
177	#1847	C₂²	1	1	yes	characteristic
178	#1847	C₂²	1	1	yes	characteristic
179	#1845	C₂²	1	1	yes	characteristic
180	#1844	C₂²	1	1	yes	characteristic
181	#1842	C₂²	1	1	yes	characteristic
182	#1804	C₂²	1	1	yes	characteristic
183	#1804	C₂²	1	1	yes	characteristic
184	#1804	C₂²	1	1	yes	characteristic
185	#1804	C₂²	1	1	yes	characteristic
186	#1803	C₂²	1	1	yes	characteristic
187	#1803	C₂²	1	1	yes	characteristic
188	#1803	C₂²	1	1	yes	characteristic
189	#1802	C₂²	1	1	yes	characteristic
190	#1802	C₂²	1	1	yes	characteristic
191	#1802	C₂²	1	1	yes	characteristic
192	#1802	C₂²	1	1	yes	characteristic
193	#1802	C₂²	1	1	yes	characteristic
194	#1776	C₂²	1	1	yes	characteristic
195	#1776	C₂²	1	1	yes	characteristic
196	#1776	C₂²	1	1	yes	characteristic
197	#1776	C₂²	1	1	yes	characteristic
198	#1771	C₂²	1	1	yes	characteristic
199	#1771	C₂²	1	1	yes	characteristic
200	#1771	C₂²	1	1	yes	characteristic
201	#1771	C₂²	1	1	yes	characteristic
202	C₄×#97	C₂²	1	1	yes	characteristic
203	C₂²×SD₁₆	C₂³	1	1	yes	characteristic
204	C₂²×SD₁₆	C₂³	1	1	yes	characteristic
205	C₂²×D₈	C₂³	1	1	yes	characteristic
206	C₂²×D₈	C₂³	1	1	yes	characteristic
207	#554	—	4	8	no	—
208	C₂×C₄⋊Q₈	D₄	1	1	yes	characteristic
209	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
210	C₂×#127	C₂³	1	1	yes	characteristic
211	C₂×#125	—	2	1	no	—
212	C₂×#125	—	2	1	no	—
213	C₂×#125	C₂³	1	1	yes	characteristic
214	C₂×#124	C₂³	1	1	yes	characteristic
215	C₂×C₂²⋊Q₈	—	2	1	no	—
216	C₂×C₂²⋊Q₈	—	2	1	no	—
217	C₂×C₂²⋊Q₈	—	2	1	no	—
218	C₂×C₂²⋊Q₈	—	2	1	no	—
219	C₂×C₂²⋊Q₈	—	2	1	no	—
220	C₂×C₂²⋊Q₈	—	2	1	no	—
221	C₂×C₂²⋊Q₈	—	2	1	no	—
222	C₂×C₂²⋊Q₈	—	2	1	no	—
223	C₂×C₂²⋊Q₈	—	2	1	no	—
224	C₂×C₄×Q₈	—	2	1	no	—
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×Q₈	C₂³	1	1	yes	characteristic
230	C₂×C₄×D₄	—	2	1	no	—
231	C₂×C₄×D₄	—	2	1	no	—
232	C₂×C₄×D₄	—	2	1	no	—
233	C₂×C₄×D₄	—	2	1	no	—
234	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
235	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
236	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
237	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
238	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
239	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
240	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
241	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
242	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
243	C₂²×C₄⋊C₄	—	2	1	no	—
244	C₂²×C₄⋊C₄	—	2	1	no	—
245	#501	—	2	4	no	—
246	#496	Q₈	1	8	yes	complemented
247	#478	—	4	2	no	—
248	#478	—	4	2	no	—
249	#477	—	4	2	no	—
250	#476	—	4	2	no	—
251	#446	—	4	2	no	—
252	C₈×Q₈	—	4	2	no	—
253	#442	—	2	4	no	—
254	#442	—	4	2	no	—
255	#442	—	4	2	no	—
256	#440	—	2	4	no	—
257	#440	—	4	2	no	—
258	#440	—	4	2	no	—
259	C₄×SD₁₆	—	4	2	no	—
260	C₄×D₈	—	4	2	no	—
261	C₂×#107	C₂³	1	1	yes	characteristic
262	C₂×#107	C₂³	1	1	yes	characteristic
263	C₂×#107	C₂³	1	1	yes	characteristic
264	C₂×#107	C₂³	1	1	yes	characteristic
265	C₂×#107	C₂³	1	1	yes	characteristic
266	C₂×#107	C₂³	1	1	yes	characteristic
267	C₂×#107	C₂³	1	1	yes	characteristic
268	C₂×#107	C₂³	1	1	yes	characteristic
269	C₂×#107	C₂³	1	1	yes	characteristic
270	C₂×#107	C₂³	1	1	yes	characteristic
271	C₂×#106	C₂³	1	1	yes	characteristic
272	C₂×#106	C₂³	1	1	yes	characteristic
273	C₂×#106	C₂³	1	1	yes	characteristic
274	C₂×#106	C₂³	1	1	yes	characteristic
275	C₂×#106	C₂³	1	1	yes	characteristic
276	C₂×#106	C₂³	1	1	yes	characteristic
277	C₂×#106	C₂³	1	1	yes	characteristic
278	C₂×#106	C₂³	1	1	yes	characteristic
279	C₂×#106	C₂³	1	1	yes	characteristic
280	C₂×#106	C₂³	1	1	yes	characteristic
281	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
282	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
283	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
284	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
285	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
286	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
287	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
288	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
289	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
290	C₂×C₄⋊C₈	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×#103	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×#102	C₂³	1	1	yes	characteristic
303	C₂×#102	C₂³	1	1	yes	characteristic
304	C₂×#102	C₂³	1	1	yes	characteristic
305	C₂×#102	C₂³	1	1	yes	characteristic
306	C₂×#102	C₂³	1	1	yes	characteristic
307	C₂×#102	C₂³	1	1	yes	characteristic
308	C₂×#102	C₂³	1	1	yes	characteristic
309	C₂×#102	C₂³	1	1	yes	characteristic
310	C₂×#102	C₂³	1	1	yes	characteristic
311	C₂×#102	C₂³	1	1	yes	characteristic
312	C₂×#102	C₂³	1	1	yes	characteristic
313	C₂×#102	C₂³	1	1	yes	characteristic
314	C₂×#102	C₂³	1	1	yes	characteristic
315	C₂×#97	C₂³	1	1	yes	characteristic
316	C₂×#97	C₂³	1	1	yes	characteristic
317	C₂×#97	C₂³	1	1	yes	characteristic
318	C₂×#97	C₂³	1	1	yes	characteristic
319	C₂×#97	C₂³	1	1	yes	characteristic
320	C₂×#97	C₂³	1	1	yes	characteristic
321	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
322	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
323	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
324	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
325	#400	—	2	1	no	—
326	#400	—	2	1	no	—
327	#400	—	2	1	no	—
328	#399	—	2	1	no	—
329	#399	—	2	1	no	—
330	#399	—	2	1	no	—
331	#399	—	2	1	no	—
332	#399	—	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	#398	—	2	1	no	—
339	#398	—	2	1	no	—
340	#398	—	2	1	no	—
341	#398	—	2	1	no	—
342	#398	—	2	1	no	—
343	#396	—	2	1	no	—
344	#396	—	2	1	no	—
345	#396	—	2	1	no	—
346	#396	—	2	1	no	—
347	#396	—	2	1	no	—
348	#396	—	2	1	no	—
349	#396	—	2	1	no	—
350	#396	—	2	1	no	—
351	#396	—	2	1	no	—
352	#396	—	2	1	no	—
353	#396	—	2	1	no	—
354	#396	—	2	1	no	—
355	#395	—	2	1	no	—
356	#393	—	2	1	no	—
357	#391	—	2	1	no	—
358	#391	—	2	1	no	—
359	#391	D₄	1	1	yes	characteristic
360	#391	D₄	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	#390	—	2	1	no	—
365	#390	—	2	1	no	—
366	#390	—	2	1	no	—
367	#390	—	2	1	no	—
368	#390	C₂³	1	1	yes	characteristic
369	#390	C₂³	1	1	yes	characteristic
370	#390	C₂³	1	1	yes	characteristic
371	#390	C₂³	1	1	yes	characteristic
372	#390	C₂³	1	1	yes	characteristic
373	#390	C₂³	1	1	yes	characteristic
374	#390	C₂³	1	1	yes	characteristic
375	#390	C₂³	1	1	yes	characteristic
376	#390	C₂³	1	1	yes	characteristic
377	#389	—	2	1	no	—
378	#389	—	2	1	no	—
379	#389	—	2	1	no	—
380	#389	—	2	1	no	—
381	#389	—	2	1	no	—
382	#389	—	2	1	no	—
383	#389	D₄	1	1	yes	characteristic
384	#389	D₄	1	1	yes	characteristic
385	#389	D₄	1	1	yes	characteristic
386	#389	D₄	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	#389	C₂³	1	1	yes	characteristic
395	#389	C₂³	1	1	yes	characteristic
396	#389	C₂³	1	1	yes	characteristic
397	#389	C₂³	1	1	yes	characteristic
398	#389	C₂³	1	1	yes	characteristic
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	#387	—	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	#386	—	2	1	no	—
416	#386	—	2	1	no	—
417	#386	—	2	1	no	—
418	#386	—	2	1	no	—
419	#385	—	2	1	no	—
420	#385	—	2	1	no	—
421	#385	—	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	#384	D₄	1	1	yes	characteristic
432	#384	C₂³	1	1	yes	characteristic
433	#384	C₂³	1	1	yes	characteristic
434	#384	C₂³	1	1	yes	characteristic
435	#384	C₂³	1	1	yes	characteristic
436	#384	C₂³	1	1	yes	characteristic
437	#384	C₂³	1	1	yes	characteristic
438	#384	C₂³	1	1	yes	characteristic
439	#384	C₂³	1	1	yes	characteristic
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	#382	C₂³	1	1	yes	characteristic
445	#380	—	2	1	no	—
446	#380	—	2	1	no	—
447	#380	—	2	1	no	—
448	#380	—	2	1	no	—
449	#380	—	2	1	no	—
450	#380	—	2	1	no	—
451	#380	—	2	1	no	—
452	#380	—	2	1	no	—
453	C₄×C₄⋊C₄	—	2	1	no	—
454	C₄×C₄⋊C₄	—	2	1	no	—
455	C₄×C₄⋊C₄	—	2	1	no	—
456	C₄×C₄⋊C₄	—	2	1	no	—
457	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
458	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
459	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
460	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
461	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
462	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
463	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
464	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
465	C₄×C₂²⋊C₄	—	2	1	no	—
466	C₄×C₂²⋊C₄	—	2	1	no	—
467	C₄×C₂²⋊C₄	—	2	1	no	—
468	C₄×C₂²⋊C₄	—	2	1	no	—
469	C₂×#95	—	2	1	no	—
470	C₄³	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	#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	#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	#336	C₂³	1	1	yes	characteristic
494	#336	C₂³	1	1	yes	characteristic
495	C₂²×Q₈	—	2	1	no	—
496	C₂²×Q₈	C₂×D₄	1	1	yes	characteristic
497	C₂²×Q₈	C₂×D₄	1	1	yes	characteristic
498	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
499	C₂²×D₄	—	2	1	no	—
500	C₂²×D₄	—	2	1	no	—
501	C₂²×D₄	C₂⁴	1	1	yes	characteristic
502	C₂²×D₄	C₂⁴	1	1	yes	characteristic
503	C₂²×D₄	C₂⁴	1	1	yes	characteristic
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	C₂³×C₄	—	2	1	no	—
509	C₂³×C₄	—	2	1	no	—
510	C₂³×C₄	—	2	1	no	—
511	C₂³×C₄	—	2	1	no	—
512	C₂³×C₄	—	2	1	no	—
513	C₂×SD₁₆	—	2	2	no	—
514	C₂×SD₁₆	—	2	2	no	—
515	C₂×SD₁₆	—	4	1	no	—
516	C₂×SD₁₆	—	4	1	no	—
517	C₂×SD₁₆	C₂×Q₈	1	4	yes	—
518	C₂×SD₁₆	C₂×Q₈	1	4	yes	—
519	C₂×D₈	—	2	2	no	—
520	C₂×D₈	—	2	2	no	—
521	C₂×D₈	—	4	1	no	—
522	C₂×D₈	—	4	1	no	—
523	C₂×D₈	C₂×Q₈	1	4	yes	—
524	C₂×D₈	C₂×Q₈	1	4	yes	—
525	C₂²×C₈	C₂⁴	1	1	yes	characteristic
526	C₂²×C₈	C₂⁴	1	1	yes	characteristic
527	C₂²×C₈	C₂⁴	1	1	yes	characteristic
528	C₂²×C₈	C₂⁴	1	1	yes	characteristic
529	C₂²×C₈	C₂⁴	1	1	yes	characteristic
530	C₂²×C₈	C₂⁴	1	1	yes	characteristic
531	C₂²×C₈	C₂⁴	1	1	yes	characteristic
532	C₂²×C₈	C₂⁴	1	1	yes	characteristic
533	C₄⋊Q₈	—	2	4	no	—
534	C₄⋊Q₈	—	2	2	no	—
535	C₄⋊Q₈	—	2	2	no	—
536	#127	—	2	2	no	—
537	#127	C₂×Q₈	1	4	yes	—
538	#125	—	2	2	no	—
539	#125	—	2	2	no	—
540	#125	—	4	4	no	—
541	#125	—	4	4	no	—
542	#124	—	2	2	no	—
543	#124	C₂×Q₈	1	4	yes	—
544	C₂²⋊Q₈	—	4	4	no	—
545	C₂²⋊Q₈	—	4	4	no	—
546	C₂²⋊Q₈	—	4	4	no	—
547	C₂²⋊Q₈	—	4	4	no	—
548	C₂²⋊Q₈	—	4	4	no	—
549	C₂²⋊Q₈	—	4	4	no	—
550	C₂²⋊Q₈	—	4	4	no	—
551	C₂²⋊Q₈	—	8	2	no	—
552	C₂²⋊Q₈	—	8	2	no	—
553	C₄×Q₈	—	2	2	no	—
554	C₄×Q₈	—	2	2	no	—
555	C₄×Q₈	—	4	1	no	—
556	C₄×Q₈	—	4	1	no	—
557	C₄×Q₈	—	4	1	no	—
558	C₄×Q₈	—	4	1	no	—
559	C₄×Q₈	—	4	4	no	—
560	C₄×Q₈	—	4	1	no	—
561	C₄×Q₈	—	4	1	no	—
562	C₄×Q₈	—	4	1	no	—
563	C₄×Q₈	—	4	1	no	—
564	C₄×D₄	—	2	2	no	—
565	C₄×D₄	—	2	2	no	—
566	C₄×D₄	—	2	2	no	—
567	C₄×D₄	—	2	2	no	—
568	C₄×D₄	—	2	2	no	—
569	C₄×D₄	—	2	2	no	—
570	C₄×D₄	—	4	4	no	—
571	C₄×D₄	—	4	1	no	—
572	C₄×D₄	—	4	1	no	—
573	C₄×D₄	—	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	4	no	—
584	C₄×D₄	—	4	4	no	—
585	C₄×D₄	—	8	2	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	—	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	—	4	4	no	—
621	C₂×C₄⋊C₄	—	4	4	no	—
622	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
623	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
624	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
625	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
626	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
627	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
628	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
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	C₂×D₄	1	1	yes	characteristic
634	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
635	C₂×C₄⋊C₄	C₂×D₄	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×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
644	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
645	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
646	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
647	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
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×C₂²⋊C₄	—	2	1	no	—
666	C₂×C₂²⋊C₄	—	2	1	no	—
667	C₂×C₂²⋊C₄	—	2	1	no	—
668	C₂×C₂²⋊C₄	—	2	1	no	—
669	C₂×C₂²⋊C₄	—	2	1	no	—
670	C₂×C₂²⋊C₄	—	2	1	no	—
671	C₂×C₂²⋊C₄	—	2	1	no	—
672	C₂×C₂²⋊C₄	—	2	1	no	—
673	C₂×C₂²⋊C₄	—	2	1	no	—
674	C₂×C₂²⋊C₄	—	2	1	no	—
675	C₂×C₂²⋊C₄	—	2	1	no	—
676	C₂×C₂²⋊C₄	—	2	1	no	—
677	C₂×C₄²	—	2	1	no	—
678	C₂×C₄²	—	2	1	no	—
679	C₂×C₄²	—	2	1	no	—
680	C₂×C₄²	—	2	1	no	—
681	C₂×C₄²	—	2	1	no	—
682	C₂×C₄²	—	2	1	no	—
683	C₂×C₄²	—	2	1	no	—
684	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
685	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
686	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
687	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
688	C₂×C₄²	C₂⁴	1	1	yes	characteristic
689	C₂×C₄²	C₂⁴	1	1	yes	characteristic
690	C₂×C₄²	C₂⁴	1	1	yes	characteristic
691	C₂×C₄²	C₂⁴	1	1	yes	characteristic
692	C₂×C₄²	C₂⁴	1	1	yes	characteristic
693	C₂×C₄²	C₂⁴	1	1	yes	characteristic
694	C₂×C₄²	C₂⁴	1	1	yes	characteristic
695	#107	—	2	2	no	—
696	#107	—	2	2	no	—
697	#107	—	2	2	no	—
698	#107	—	2	2	no	—
699	#107	—	4	1	no	—
700	#107	—	4	1	no	—
701	#107	—	4	1	no	—
702	#107	—	4	1	no	—
703	#107	—	4	1	no	—
704	#107	—	4	1	no	—
705	#106	—	2	2	no	—
706	#106	—	2	2	no	—
707	#106	—	2	2	no	—
708	#106	—	2	2	no	—
709	#106	—	4	1	no	—
710	#106	—	4	1	no	—
711	#106	—	4	1	no	—
712	#106	—	4	1	no	—
713	#106	—	4	1	no	—
714	#106	—	4	1	no	—
715	C₄⋊C₈	—	2	2	no	—
716	C₄⋊C₈	—	2	2	no	—
717	C₄⋊C₈	—	2	2	no	—
718	C₄⋊C₈	—	2	2	no	—
719	C₄⋊C₈	—	4	1	no	—
720	C₄⋊C₈	—	4	1	no	—
721	C₄⋊C₈	—	4	1	no	—
722	C₄⋊C₈	—	4	1	no	—
723	C₄⋊C₈	—	4	1	no	—
724	C₄⋊C₈	—	4	1	no	—
725	#103	—	2	2	no	—
726	#103	—	4	1	no	—
727	#103	—	4	1	no	—
728	#103	—	4	1	no	—
729	#103	—	4	1	no	—
730	#103	—	4	1	no	—
731	#102	—	2	2	no	—
732	#102	—	2	2	no	—
733	#102	—	2	2	no	—
734	#102	—	4	1	no	—
735	#102	—	4	1	no	—
736	#102	—	4	1	no	—
737	#102	—	4	1	no	—
738	#102	—	4	1	no	—
739	#102	—	4	1	no	—
740	#102	—	4	1	no	—
741	#102	—	4	1	no	—
742	#102	—	4	1	no	—
743	#102	—	4	1	no	—
744	#102	—	4	1	no	—
745	#102	—	4	1	no	—
746	#102	—	4	1	no	—
747	#102	—	4	1	no	—
748	#102	—	4	1	no	—
749	#97	—	2	2	no	—
750	#97	—	2	2	no	—
751	#97	—	2	2	no	—
752	#97	—	2	2	no	—
753	#97	C₂×Q₈	1	4	yes	—
754	#97	#41	1	4	yes	—
755	C₄×C₈	—	2	2	no	—
756	C₄×C₈	—	2	2	no	—
757	C₄×C₈	—	2	2	no	—
758	C₄×C₈	—	4	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	C₂×D₄	1	1	yes	characteristic
790	#95	C₂×D₄	1	1	yes	characteristic
791	#95	C₂×D₄	1	1	yes	characteristic
792	#95	C₂×D₄	1	1	yes	characteristic
793	#95	C₂×D₄	1	1	yes	characteristic
794	#95	C₂×D₄	1	1	yes	characteristic
795	#95	C₂×D₄	1	1	yes	characteristic
796	#95	C₂×D₄	1	1	yes	characteristic
797	C₂⁴	—	2	1	no	—
798	C₂⁴	—	2	1	no	—
799	C₂⁴	—	2	1	no	—
800	C₂×Q₈	—	2	2	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	—	4	1	no	—
807	C₂×Q₈	—	4	1	no	—
808	C₂×Q₈	—	4	1	no	—
809	C₂×Q₈	—	4	1	no	—
810	C₂×Q₈	—	4	2	no	—
811	C₂×Q₈	—	4	2	no	—
812	C₂×Q₈	—	4	2	no	—
813	C₂×Q₈	AGL(1,ℤ/8)	1	4	yes	—
814	C₂×Q₈	C₂²×Q₈	1	2	yes	—
815	C₂×D₄	—	2	4	no	—
816	C₂×D₄	—	2	4	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	—	2	1	no	—
832	C₂×D₄	—	4	2	no	—
833	C₂×D₄	—	4	2	no	—
834	C₂×D₄	—	8	1	no	—
835	C₂×D₄	—	8	1	no	—
836	C₂×D₄	C₂²×Q₈	1	2	yes	—
837	C₂×D₄	C₂²×Q₈	1	2	yes	—
838	C₂×D₄	C₂²×Q₈	1	2	yes	—
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	—	2	1	no	—
852	C₂²×C₄	—	4	2	no	—
853	C₂²×C₄	—	4	2	no	—
854	C₂²×C₄	—	4	2	no	—
855	C₂²×C₄	—	4	2	no	—
856	C₂²×C₄	—	4	2	no	—
857	C₂²×C₄	—	4	2	no	—
858	C₂²×C₄	—	4	2	no	—
859	C₂²×C₄	—	4	2	no	—
860	C₂²×C₄	—	4	2	no	—
861	C₂²×C₄	—	4	2	no	—
862	C₂²×C₄	—	4	2	no	—
863	C₂²×C₄	—	4	2	no	—
864	C₂²×C₄	—	8	1	no	—
865	C₂²×C₄	—	8	1	no	—
866	C₂²×C₄	—	8	1	no	—
867	C₂²×C₄	—	8	1	no	—
868	C₂²×C₄	—	8	1	no	—
869	C₂²×C₄	—	8	1	no	—
870	C₂²×C₄	—	8	1	no	—
871	C₂²×C₄	—	8	1	no	—
872	C₂²×C₄	—	8	1	no	—
873	C₂²×C₄	—	8	1	no	—
874	C₂²×C₄	—	8	1	no	—
875	C₂²×C₄	—	8	1	no	—
876	C₂²×C₄	—	8	1	no	—
877	C₂²×C₄	—	8	1	no	—
878	C₂²×C₄	—	8	1	no	—
879	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
880	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
881	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
882	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
883	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
884	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
885	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
886	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
887	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
888	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
889	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
890	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
891	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
892	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
893	C₂²×C₄	C₂⁵	1	1	yes	characteristic
894	SD₁₆	—	2	8	no	—
895	SD₁₆	—	4	4	no	—
896	D₈	—	2	8	no	—
897	D₈	—	4	4	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	—	2	1	no	—
912	C₂×C₈	—	2	1	no	—
913	C₂×C₈	—	2	1	no	—
914	C₂×C₈	—	2	1	no	—
915	C₂×C₈	—	2	1	no	—
916	C₂×C₈	—	2	1	no	—
917	C₂×C₈	C₂²×Q₈	1	2	yes	—
918	C₂×C₈	C₂²×Q₈	1	2	yes	—
919	C₂×C₈	C₂×#41	1	2	yes	—
920	C₂×C₈	C₂×#41	1	2	yes	—
921	C₂×C₈	H(5,𝔽₂)	1	2	yes	—
922	C₄⋊C₄	—	2	2	no	—
923	C₄⋊C₄	—	2	2	no	—
924	C₄⋊C₄	—	2	2	no	—
925	C₄⋊C₄	—	2	2	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	—	2	1	no	—
934	C₄⋊C₄	—	2	1	no	—
935	C₄⋊C₄	—	2	1	no	—
936	C₄⋊C₄	—	2	1	no	—
937	C₄⋊C₄	—	2	1	no	—
938	C₄⋊C₄	—	2	1	no	—
939	C₄⋊C₄	—	2	1	no	—
940	C₄⋊C₄	—	2	1	no	—
941	C₄⋊C₄	—	2	1	no	—
942	C₄⋊C₄	—	2	1	no	—
943	C₄⋊C₄	—	2	1	no	—
944	C₄⋊C₄	—	2	1	no	—
945	C₄⋊C₄	—	2	1	no	—
946	C₄⋊C₄	—	2	1	no	—
947	C₄⋊C₄	—	2	1	no	—
948	C₄⋊C₄	—	2	1	no	—
949	C₄⋊C₄	—	2	1	no	—
950	C₄⋊C₄	—	4	1	no	—
951	C₄⋊C₄	—	4	1	no	—
952	C₄⋊C₄	—	4	1	no	—
953	C₄⋊C₄	—	4	1	no	—
954	C₄⋊C₄	—	4	1	no	—
955	C₄⋊C₄	—	4	1	no	—
956	C₄⋊C₄	—	4	1	no	—
957	C₄⋊C₄	—	4	1	no	—
958	C₄⋊C₄	—	4	1	no	—
959	C₄⋊C₄	—	4	1	no	—
960	C₄⋊C₄	—	4	2	no	—
961	C₄⋊C₄	—	4	2	no	—
962	C₄⋊C₄	—	4	2	no	—
963	C₄⋊C₄	—	4	2	no	—
964	C₄⋊C₄	—	4	2	no	—
965	C₄⋊C₄	—	4	2	no	—
966	C₄⋊C₄	—	4	2	no	—
967	C₄⋊C₄	—	4	2	no	—
968	C₄⋊C₄	—	4	2	no	—
969	C₄⋊C₄	—	4	2	no	—
970	C₄⋊C₄	—	4	2	no	—
971	C₄⋊C₄	—	4	2	no	—
972	C₄⋊C₄	—	4	2	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	—	8	1	no	—
980	C₄⋊C₄	—	8	1	no	—
981	C₄⋊C₄	—	8	1	no	—
982	C₄⋊C₄	—	8	1	no	—
983	C₄⋊C₄	—	8	1	no	—
984	C₄⋊C₄	—	8	1	no	—
985	C₄⋊C₄	—	8	1	no	—
986	C₄⋊C₄	—	8	1	no	—
987	C₄⋊C₄	—	8	1	no	—
988	C₄⋊C₄	—	8	1	no	—
989	C₄⋊C₄	—	8	1	no	—
990	C₄⋊C₄	—	8	1	no	—
991	C₄⋊C₄	—	8	1	no	—
992	C₄⋊C₄	—	8	1	no	—
993	C₄⋊C₄	—	8	1	no	—
994	C₂²⋊C₄	—	2	4	no	—
995	C₂²⋊C₄	—	2	4	no	—
996	C₂²⋊C₄	—	4	2	no	—
997	C₂²⋊C₄	—	4	2	no	—
998	C₂²⋊C₄	—	4	2	no	—
999	C₂²⋊C₄	—	4	2	no	—
1000	C₂²⋊C₄	—	4	2	no	—
1001	C₂²⋊C₄	—	4	2	no	—
1002	C₂²⋊C₄	—	4	2	no	—
1003	C₂²⋊C₄	—	4	2	no	—
1004	C₂²⋊C₄	—	4	2	no	—
1005	C₂²⋊C₄	—	4	2	no	—
1006	C₂²⋊C₄	—	4	2	no	—
1007	C₂²⋊C₄	—	8	1	no	—
1008	C₂²⋊C₄	—	8	1	no	—
1009	C₂²⋊C₄	—	8	1	no	—
1010	C₂²⋊C₄	—	8	1	no	—
1011	C₂²⋊C₄	—	8	1	no	—
1012	C₂²⋊C₄	—	8	1	no	—
1013	C₂²⋊C₄	—	8	1	no	—
1014	C₂²⋊C₄	—	8	1	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	1	no	—
1025	C₄²	—	2	1	no	—
1026	C₄²	—	2	1	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	—	4	1	no	—
1035	C₄²	—	4	1	no	—
1036	C₄²	—	4	1	no	—
1037	C₄²	—	4	2	no	—
1038	C₄²	—	4	2	no	—
1039	C₄²	—	4	2	no	—
1040	C₄²	—	8	1	no	—
1041	C₄²	—	8	1	no	—
1042	C₄²	—	8	1	no	—
1043	C₄²	—	8	1	no	—
1044	C₄²	C₂²×Q₈	1	2	yes	—
1045	C₄²	C₂×#41	1	2	yes	—
1046	C₄²	H(5,𝔽₂)	1	2	yes	—
1047	C₄²	2₋¹⁺⁴	1	2	yes	—
1048	C₂³	—	2	2	no	—
1049	C₂³	—	2	2	no	—
1050	C₂³	—	2	2	no	—
1051	C₂³	—	4	1	no	—
1052	C₂³	—	4	1	no	—
1053	C₂³	—	4	1	no	—
1054	C₂³	—	4	1	no	—
1055	C₂³	—	4	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	—	4	1	no	—
1064	C₂³	—	4	1	no	—
1065	C₂³	—	4	1	no	—
1066	C₂³	—	4	1	no	—
1067	C₂³	—	4	1	no	—
1068	C₂³	—	4	1	no	—
1069	C₂³	C₂³×D₄	1	1	yes	characteristic
1070	Q₈	—	2	2	no	—
1071	Q₈	—	2	2	no	—
1072	Q₈	—	4	4	no	—
1073	Q₈	—	4	1	no	—
1074	Q₈	—	4	1	no	—
1075	Q₈	—	8	2	no	—
1076	Q₈	—	8	4	no	—
1077	D₄	—	2	2	no	—
1078	D₄	—	2	2	no	—
1079	D₄	—	2	2	no	—
1080	D₄	—	2	2	no	—
1081	D₄	—	2	2	no	—
1082	D₄	—	2	2	no	—
1083	D₄	—	4	8	no	—
1084	D₄	—	4	1	no	—
1085	D₄	—	4	1	no	—
1086	D₄	—	4	1	no	—
1087	D₄	—	4	1	no	—
1088	D₄	—	4	1	no	—
1089	D₄	—	4	1	no	—
1090	D₄	—	8	4	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	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	2	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	—	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	—	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	—	8	4	no	—
1166	C₂×C₄	—	8	4	no	—
1167	C₂×C₄	—	16	2	no	—
1168	C₂×C₄	—	16	2	no	—
1169	C₂×C₄	—	16	2	no	—
1170	C₂×C₄	—	16	2	no	—
1171	C₂×C₄	—	16	2	no	—
1172	C₂×C₄	—	16	2	no	—
1173	C₂×C₄	—	16	2	no	—
1174	C₂×C₄	D₄×Q₈	1	2	yes	—
1175	C₂×C₄	D₄×Q₈	1	2	yes	—
1176	C₂×C₄	#550	1	2	yes	—
1177	C₂×C₄	#550	1	2	yes	—
1178	C₂×C₄	C₂×AGL(1,ℤ/8)	1	2	yes	—
1179	C₂×C₄	C₂×AGL(1,ℤ/8)	1	2	yes	—
1180	C₂×C₄	C₂×AGL(1,ℤ/8)	1	2	yes	—
1181	C₂×C₄	C₂³×Q₈	1	1	yes	characteristic
1182	C₂×C₄	C₂²×#41	1	1	yes	characteristic
1183	C₂×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1184	C₂×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1185	C₂×C₄	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1186	C₂×C₄	#585	1	1	yes	characteristic
1187	C₈	—	2	2	no	—
1188	C₈	—	2	2	no	—
1189	C₈	—	4	1	no	—
1190	C₈	—	4	1	no	—
1191	C₈	—	4	1	no	—
1192	C₈	—	4	1	no	—
1193	C₈	—	4	1	no	—
1194	C₈	#554	1	4	yes	complemented
1195	C₂²	—	4	2	no	—
1196	C₂²	—	4	2	no	—
1197	C₂²	—	4	2	no	—
1198	C₂²	—	4	2	no	—
1199	C₂²	—	4	2	no	—
1200	C₂²	—	4	2	no	—
1201	C₂²	—	4	2	no	—
1202	C₂²	—	4	2	no	—
1203	C₂²	—	4	2	no	—
1204	C₂²	—	8	1	no	—
1205	C₂²	—	8	1	no	—
1206	C₂²	—	8	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	—	8	1	no	—
1215	C₂²	—	8	1	no	—
1216	C₂²	C₂×D₄×Q₈	1	1	yes	characteristic
1217	C₂²	C₂×#550	1	1	yes	characteristic
1218	C₂²	#3496	1	1	yes	characteristic
1219	C₂²	C₂²×AGL(1,ℤ/8)	1	1	yes	characteristic
1220	C₂²	#3584	1	1	yes	characteristic
1221	C₂²	#3585	1	1	yes	characteristic
1222	C₂²	#3586	1	1	yes	characteristic
1223	C₄	—	2	2	no	—
1224	C₄	—	2	2	no	—
1225	C₄	—	2	2	no	—
1226	C₄	—	2	2	no	—
1227	C₄	—	2	2	no	—
1228	C₄	—	2	2	no	—
1229	C₄	—	2	2	no	—
1230	C₄	—	4	1	no	—
1231	C₄	—	4	1	no	—
1232	C₄	—	4	1	no	—
1233	C₄	—	4	1	no	—
1234	C₄	—	4	1	no	—
1235	C₄	—	4	1	no	—
1236	C₄	—	4	1	no	—
1237	C₄	—	4	2	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	—	8	1	no	—
1250	C₄	C₂×#554	1	1	yes	characteristic
1251	C₄	#3501	1	1	yes	characteristic
1252	C₄	#3507	1	1	yes	characteristic
1253	C₄	#3548	1	1	yes	characteristic
1254	C₂	—	8	2	no	—
1255	C₂	—	8	2	no	—
1256	C₂	—	8	2	no	—
1257	C₂	#59823	1	1	yes	characteristic
1258	C₂	Q₈×AGL(1,ℤ/8)	1	1	yes	characteristic
1259	C₂	#61385	1	1	yes	characteristic
1260	C₂	#61402	1	1	yes	characteristic
1261	C₂	#61423	1	1	yes	characteristic
1262	C₂	#62253	1	1	yes	characteristic
1263	C₂	#62338	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 ◁ C₄×C₄⋊Q₈ ◁ G
LECS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁

Complements

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

N	H ≅ G/N	type
1. #59909	C₂	semidirect
2. #59823	C₂	semidirect
3. #32655	C₂	semidirect
4. #32654	C₂	semidirect
5. #32649	C₂	semidirect
6. #32648	C₂	semidirect
7. #28838	C₂	semidirect
8. #28837	C₂	semidirect
9. #28548	C₂	semidirect
10. #28545	C₂	semidirect
11. #28286	C₂	semidirect
12. #28282	C₂	semidirect
13. #28276	C₂	semidirect
14. #28275	C₂	semidirect
15. #28264	C₂	semidirect
16. #28263	C₂	semidirect
17. #26544	C₂	semidirect
18. #26542	C₂	semidirect
19. #26541	C₂	semidirect
20. #26538	C₂	semidirect
21. #24829	C₂	semidirect
22. #24827	C₂	semidirect
23. #24825	C₂	semidirect
24. #24823	C₂	semidirect
27. #22677	C₂	semidirect
28. #22676	C₂	semidirect
29. #21731	C₂	semidirect
30. #21714	C₂	semidirect
246. #496	Q₈	semidirect
1194. C₈	#554	semidirect

Maximal subgroups

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

subgroup	index
#59909	2
#59823	2
#32655	2
#32654	2
#32649	2
#32648	2
#28838	2
#28837	2
#28548	2
#28545	2
#28286	2
#28282	2
#28276	2
#28275	2
#28264	2
#28263	2
#26544	2
#26542	2
#26541	2
#26538	2
#24829	2
#24827	2
#24825	2
#24823	2
#23195	2
#23193	2
#22677	2
#22676	2
#21731	2
#21714	2
#21701	2