Subgroups — #7198630

Order 512.

1770 conjugacy classes of subgroups.

The subgroup lattice has 1284 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#3387	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#3384	C₂	1	1	yes	maximal, characteristic
3	#45424	C₂	1	1	yes	maximal, characteristic, complemented
4	#44934	C₂	1	1	yes	maximal, characteristic, complemented
5	#30975	C₂	1	1	yes	maximal, characteristic, complemented
6	#30973	C₂	1	1	yes	maximal, characteristic, complemented
7	#30968	C₂	1	1	yes	maximal, characteristic, complemented
8	#30962	C₂	1	1	yes	maximal, characteristic, complemented
9	#30954	C₂	1	1	yes	maximal, characteristic, complemented
10	#30954	C₂	1	1	yes	maximal, characteristic, complemented
11	#30949	C₂	1	1	yes	maximal, characteristic, complemented
12	#30949	C₂	1	1	yes	maximal, characteristic, complemented
13	#28215	C₂	1	1	yes	maximal, characteristic, complemented
14	#28212	C₂	1	1	yes	maximal, characteristic, complemented
15	#28198	C₂	1	1	yes	maximal, characteristic, complemented
16	#28197	C₂	1	1	yes	maximal, characteristic
17	#26908	C₂	1	1	yes	maximal, characteristic, complemented
18	#26908	C₂	1	1	yes	maximal, characteristic, complemented
19	#26907	C₂	1	1	yes	maximal, characteristic
20	#26907	C₂	1	1	yes	maximal, characteristic
21	#26893	C₂	1	1	yes	maximal, characteristic, complemented
22	#26892	C₂	1	1	yes	maximal, characteristic, complemented
23	#26891	C₂	1	1	yes	maximal, characteristic
24	#26890	C₂	1	1	yes	maximal, characteristic
25	#24337	C₂	1	1	yes	maximal, characteristic, complemented
26	#24334	C₂	1	1	yes	maximal, characteristic, complemented
27	#24330	C₂	1	1	yes	maximal, characteristic, complemented
28	#24329	C₂	1	1	yes	maximal, characteristic, complemented
29	#23813	C₂	1	1	yes	maximal, characteristic
30	#22255	C₂	1	1	yes	maximal, characteristic, complemented
31	#22245	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×Q₈²	C₂²	1	1	yes	characteristic
33	C₂×#557	C₂²	1	1	yes	characteristic
34	C₂×#554	C₂²	1	1	yes	characteristic
35	C₂×D₄×Q₈	C₂²	1	1	yes	characteristic
36	#3387	—	2	8	no	—
37	#3384	—	2	8	no	—
38	C₂×#501	C₂²	1	1	yes	characteristic
39	C₂×#501	C₂²	1	1	yes	characteristic
40	C₂×#501	C₂²	1	1	yes	characteristic
41	C₂×#498	C₂²	1	1	yes	characteristic
42	C₂×#498	C₂²	1	1	yes	characteristic
43	C₂×#479	C₂²	1	1	yes	characteristic
44	C₂×#479	C₂²	1	1	yes	characteristic
45	C₂×#477	C₂²	1	1	yes	characteristic
46	C₂×#475	C₂²	1	1	yes	characteristic
47	C₂×#475	C₂²	1	1	yes	characteristic
48	C₂×#475	C₂²	1	1	yes	characteristic
49	C₂×#478	C₂²	1	1	yes	characteristic
50	C₂×#478	C₂²	1	1	yes	characteristic
51	C₂×#476	C₂²	1	1	yes	characteristic
52	C₂×#476	C₂²	1	1	yes	characteristic
53	C₂×#476	C₂²	1	1	yes	characteristic
54	C₂×#474	C₂²	1	1	yes	characteristic
55	C₂×#446	C₂²	1	1	yes	characteristic
56	C₂×#446	C₂²	1	1	yes	characteristic
57	C₂×#442	C₂²	1	1	yes	characteristic
58	C₂×#442	C₂²	1	1	yes	characteristic
59	C₂×#441	C₂²	1	1	yes	characteristic
60	C₂×#441	C₂²	1	1	yes	characteristic
61	C₂×C₄×Q₁₆	C₂²	1	1	yes	characteristic
62	C₂×C₄×SD₁₆	C₂²	1	1	yes	characteristic
63	C₂×C₄×SD₁₆	C₂²	1	1	yes	characteristic
64	C₂×C₄×D₈	C₂²	1	1	yes	characteristic
65	#2729	—	2	1	no	—
66	#2729	—	2	1	no	—
67	#2720	—	2	1	no	—
68	#2704	—	2	1	no	—
69	#2704	—	2	1	no	—
70	#2677	—	2	1	no	—
71	#2677	—	2	1	no	—
72	#2677	—	2	1	no	—
73	#2582	C₂²	1	1	yes	characteristic
74	#2581	C₂²	1	1	yes	characteristic
75	#2580	C₂²	1	1	yes	characteristic
76	#2552	C₂²	1	1	yes	characteristic
77	#2551	C₂²	1	1	yes	characteristic
78	#2551	C₂²	1	1	yes	characteristic
79	#2551	C₂²	1	1	yes	characteristic
80	#2538	C₂²	1	1	yes	characteristic
81	#2473	—	2	1	no	—
82	#2465	—	2	1	no	—
83	#2465	—	2	1	no	—
84	#2465	—	2	1	no	—
85	#2454	C₂²	1	1	yes	characteristic
86	#2453	C₂²	1	1	yes	characteristic
87	#2452	C₂²	1	1	yes	characteristic
88	#2452	C₂²	1	1	yes	characteristic
89	#2452	C₂²	1	1	yes	characteristic
90	#2451	C₂²	1	1	yes	characteristic
91	#2451	C₂²	1	1	yes	characteristic
92	#2451	C₂²	1	1	yes	characteristic
93	#2440	—	2	1	no	—
94	#2434	—	2	1	no	—
95	#2434	—	2	1	no	—
96	#2429	—	2	1	no	—
97	#2399	C₂²	1	1	yes	characteristic
98	#2367	C₂²	1	1	yes	characteristic
99	#2367	C₂²	1	1	yes	characteristic
100	#2367	C₂²	1	1	yes	characteristic
101	#2367	C₂²	1	1	yes	characteristic
102	#2331	C₂²	1	1	yes	characteristic
103	#2330	C₂²	1	1	yes	characteristic
104	#2326	C₂²	1	1	yes	characteristic
105	#2326	C₂²	1	1	yes	characteristic
106	#2096	C₂²	1	1	yes	characteristic
107	#2096	C₂²	1	1	yes	characteristic
108	#2094	C₂²	1	1	yes	characteristic
109	#2094	C₂²	1	1	yes	characteristic
110	#2088	C₂²	1	1	yes	characteristic
111	#2088	C₂²	1	1	yes	characteristic
112	#2088	C₂²	1	1	yes	characteristic
113	#2088	C₂²	1	1	yes	characteristic
114	#2084	C₂²	1	1	yes	characteristic
115	#2084	C₂²	1	1	yes	characteristic
116	#2084	C₂²	1	1	yes	characteristic
117	#2083	C₂²	1	1	yes	characteristic
118	#2059	C₂²	1	1	yes	characteristic
119	#2059	C₂²	1	1	yes	characteristic
120	#2058	C₂²	1	1	yes	characteristic
121	#2058	C₂²	1	1	yes	characteristic
122	#2058	C₂²	1	1	yes	characteristic
123	#2058	C₂²	1	1	yes	characteristic
124	#2058	C₂²	1	1	yes	characteristic
125	#2058	C₂²	1	1	yes	characteristic
126	#2056	C₂²	1	1	yes	characteristic
127	#2056	C₂²	1	1	yes	characteristic
128	#2054	C₂²	1	1	yes	characteristic
129	#2054	C₂²	1	1	yes	characteristic
130	#2042	C₂²	1	1	yes	characteristic
131	#2042	C₂²	1	1	yes	characteristic
132	#2042	C₂²	1	1	yes	characteristic
133	#2042	C₂²	1	1	yes	characteristic
134	#2026	C₂²	1	1	yes	characteristic
135	#2025	C₂²	1	1	yes	characteristic
136	#2024	C₂²	1	1	yes	characteristic
137	#2024	C₂²	1	1	yes	characteristic
138	#2024	C₂²	1	1	yes	characteristic
139	#2023	C₂²	1	1	yes	characteristic
140	#2023	C₂²	1	1	yes	characteristic
141	#2023	C₂²	1	1	yes	characteristic
142	#2015	C₂²	1	1	yes	characteristic
143	#2015	C₂²	1	1	yes	characteristic
144	#2012	C₂²	1	1	yes	characteristic
145	#2012	C₂²	1	1	yes	characteristic
146	#1991	C₂²	1	1	yes	characteristic
147	#1990	C₂²	1	1	yes	characteristic
148	#1984	C₂²	1	1	yes	characteristic
149	#1984	C₂²	1	1	yes	characteristic
150	#1936	C₂²	1	1	yes	characteristic
151	#1936	C₂²	1	1	yes	characteristic
152	#1935	C₂²	1	1	yes	characteristic
153	#1935	C₂²	1	1	yes	characteristic
154	#1934	C₂²	1	1	yes	characteristic
155	#1934	C₂²	1	1	yes	characteristic
156	#1933	C₂²	1	1	yes	characteristic
157	#1933	C₂²	1	1	yes	characteristic
158	#1928	C₂²	1	1	yes	characteristic
159	#1927	C₂²	1	1	yes	characteristic
160	#1927	C₂²	1	1	yes	characteristic
161	#1927	C₂²	1	1	yes	characteristic
162	#1926	C₂²	1	1	yes	characteristic
163	#1926	C₂²	1	1	yes	characteristic
164	#1926	C₂²	1	1	yes	characteristic
165	#1925	C₂²	1	1	yes	characteristic
166	#1921	C₂²	1	1	yes	characteristic
167	#1921	C₂²	1	1	yes	characteristic
168	#1920	C₂²	1	1	yes	characteristic
169	#1920	C₂²	1	1	yes	characteristic
170	#1919	C₂²	1	1	yes	characteristic
171	#1919	C₂²	1	1	yes	characteristic
172	#1918	C₂²	1	1	yes	characteristic
173	#1918	C₂²	1	1	yes	characteristic
174	#1917	C₂²	1	1	yes	characteristic
175	#1917	C₂²	1	1	yes	characteristic
176	#1917	C₂²	1	1	yes	characteristic
177	#1917	C₂²	1	1	yes	characteristic
178	#1916	C₂²	1	1	yes	characteristic
179	#1916	C₂²	1	1	yes	characteristic
180	#1916	C₂²	1	1	yes	characteristic
181	#1916	C₂²	1	1	yes	characteristic
182	#1880	C₂²	1	1	yes	characteristic
183	#1880	C₂²	1	1	yes	characteristic
184	#1880	C₂²	1	1	yes	characteristic
185	#1880	C₂²	1	1	yes	characteristic
186	#1877	C₂²	1	1	yes	characteristic
187	#1877	C₂²	1	1	yes	characteristic
188	#1877	C₂²	1	1	yes	characteristic
189	#1877	C₂²	1	1	yes	characteristic
190	#1865	C₂²	1	1	yes	characteristic
191	#1865	C₂²	1	1	yes	characteristic
192	#1865	C₂²	1	1	yes	characteristic
193	#1864	C₂²	1	1	yes	characteristic
194	#1864	C₂²	1	1	yes	characteristic
195	#1864	C₂²	1	1	yes	characteristic
196	#1863	C₂²	1	1	yes	characteristic
197	#1862	C₂²	1	1	yes	characteristic
198	#1836	C₂²	1	1	yes	characteristic
199	#1832	C₂²	1	1	yes	characteristic
200	#1805	C₂²	1	1	yes	characteristic
201	#1804	C₂²	1	1	yes	characteristic
202	#1803	C₂²	1	1	yes	characteristic
203	#1802	C₂²	1	1	yes	characteristic
204	#1746	C₂²	1	1	yes	characteristic
205	C₂³×Q₈	—	2	1	no	—
206	C₂²×Q₁₆	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	Q₈²	—	2	4	no	—
211	Q₈²	—	4	2	no	—
212	#557	—	2	4	no	—
213	#557	—	4	2	no	—
214	#554	—	2	4	no	—
215	#554	—	4	2	no	—
216	D₄×Q₈	—	2	4	no	—
217	D₄×Q₈	—	4	2	no	—
218	C₂×C₄⋊Q₈	—	2	1	no	—
219	C₂×C₄⋊Q₈	—	2	1	no	—
220	C₂×C₄⋊Q₈	—	2	1	no	—
221	C₂×C₄⋊Q₈	—	2	1	no	—
222	C₂×C₄⋊Q₈	—	2	1	no	—
223	C₂×C₄⋊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⋊Q₈	C₂³	1	1	yes	characteristic
231	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
232	C₂×#125	—	2	1	no	—
233	C₂×#125	—	2	1	no	—
234	C₂×#125	C₂³	1	1	yes	characteristic
235	C₂×#125	C₂³	1	1	yes	characteristic
236	C₂×#125	C₂³	1	1	yes	characteristic
237	C₂×#124	C₂³	1	1	yes	characteristic
238	C₂×#124	C₂³	1	1	yes	characteristic
239	C₂×C₂²⋊Q₈	—	2	1	no	—
240	C₂×C₂²⋊Q₈	—	2	1	no	—
241	C₂×C₂²⋊Q₈	—	2	1	no	—
242	C₂×C₂²⋊Q₈	—	2	1	no	—
243	C₂×C₂²⋊Q₈	—	2	1	no	—
244	C₂×C₂²⋊Q₈	—	2	1	no	—
245	C₂×C₂²⋊Q₈	—	2	1	no	—
246	C₂×C₂²⋊Q₈	—	2	1	no	—
247	C₂×C₂²⋊Q₈	—	2	1	no	—
248	C₂×C₂²⋊Q₈	—	2	1	no	—
249	C₂×C₄×Q₈	—	2	1	no	—
250	C₂×C₄×Q₈	—	2	1	no	—
251	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
252	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
253	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
254	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
255	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
256	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
257	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
258	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
259	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
260	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
261	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
262	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
263	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
264	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
265	C₂²×C₄⋊C₄	—	2	1	no	—
266	#501	—	2	4	no	—
267	#501	—	2	4	no	—
268	#501	D₄	1	8	yes	—
269	#498	—	2	4	no	—
270	#498	—	2	4	no	—
271	#479	—	2	4	no	—
272	#479	—	2	4	no	—
273	#478	—	2	4	no	—
274	#478	—	2	4	no	—
275	#477	—	2	4	no	—
276	#476	—	2	4	no	—
277	#476	—	2	4	no	—
278	#476	—	2	4	no	—
279	#475	—	2	4	no	—
280	#475	—	2	4	no	—
281	#475	—	2	4	no	—
282	#474	—	2	4	no	—
283	#446	—	2	4	no	—
284	#446	—	2	4	no	—
285	#442	—	2	4	no	—
286	#442	—	2	4	no	—
287	#441	—	2	4	no	—
288	#441	—	2	4	no	—
289	C₄×Q₁₆	—	2	4	no	—
290	C₄×SD₁₆	—	4	2	no	—
291	C₄×SD₁₆	—	4	2	no	—
292	C₄×D₈	—	2	4	no	—
293	C₂×#107	C₂³	1	1	yes	characteristic
294	C₂×#107	C₂³	1	1	yes	characteristic
295	C₂×#107	C₂³	1	1	yes	characteristic
296	C₂×#107	C₂³	1	1	yes	characteristic
297	C₂×#106	C₂³	1	1	yes	characteristic
298	C₂×#106	C₂³	1	1	yes	characteristic
299	C₂×#106	C₂³	1	1	yes	characteristic
300	C₂×#106	C₂³	1	1	yes	characteristic
301	C₂×#106	C₂³	1	1	yes	characteristic
302	C₂×#106	C₂³	1	1	yes	characteristic
303	C₂×#106	C₂³	1	1	yes	characteristic
304	C₂×#106	C₂³	1	1	yes	characteristic
305	C₂×#106	C₂³	1	1	yes	characteristic
306	C₂×#106	C₂³	1	1	yes	characteristic
307	C₂×#106	C₂³	1	1	yes	characteristic
308	C₂×#106	C₂³	1	1	yes	characteristic
309	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
310	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
311	C₂×C₄⋊C₈	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×#103	C₂³	1	1	yes	characteristic
316	C₂×#103	C₂³	1	1	yes	characteristic
317	C₂×#103	C₂³	1	1	yes	characteristic
318	C₂×#103	C₂³	1	1	yes	characteristic
319	C₂×#103	C₂³	1	1	yes	characteristic
320	C₂×#103	C₂³	1	1	yes	characteristic
321	C₂×#103	C₂³	1	1	yes	characteristic
322	C₂×#103	C₂³	1	1	yes	characteristic
323	C₂×#103	C₂³	1	1	yes	characteristic
324	C₂×#103	C₂³	1	1	yes	characteristic
325	C₂×#103	C₂³	1	1	yes	characteristic
326	C₂×#103	C₂³	1	1	yes	characteristic
327	C₂×#102	C₂³	1	1	yes	characteristic
328	C₂×#102	C₂³	1	1	yes	characteristic
329	C₂×#102	C₂³	1	1	yes	characteristic
330	C₂×#102	C₂³	1	1	yes	characteristic
331	C₂×#102	C₂³	1	1	yes	characteristic
332	C₂×#102	C₂³	1	1	yes	characteristic
333	C₂×#102	C₂³	1	1	yes	characteristic
334	C₂×#102	C₂³	1	1	yes	characteristic
335	C₂×#102	C₂³	1	1	yes	characteristic
336	C₂×#102	C₂³	1	1	yes	characteristic
337	C₂×#102	C₂³	1	1	yes	characteristic
338	C₂×#102	C₂³	1	1	yes	characteristic
339	C₂×#97	C₂³	1	1	yes	characteristic
340	C₂×#97	C₂³	1	1	yes	characteristic
341	C₂×#97	C₂³	1	1	yes	characteristic
342	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
343	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
344	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
345	#400	—	2	1	no	—
346	#400	—	2	1	no	—
347	#399	—	2	1	no	—
348	#399	—	2	1	no	—
349	#398	—	2	1	no	—
350	#398	—	2	1	no	—
351	#398	—	2	1	no	—
352	#398	—	2	1	no	—
353	#398	—	2	1	no	—
354	#398	—	2	1	no	—
355	#398	—	2	1	no	—
356	#398	—	2	1	no	—
357	#398	D₄	1	1	yes	characteristic
358	#398	D₄	1	1	yes	characteristic
359	#398	D₄	1	1	yes	characteristic
360	#398	D₄	1	1	yes	characteristic
361	#396	—	2	1	no	—
362	#396	—	2	1	no	—
363	#396	—	2	1	no	—
364	#396	—	2	1	no	—
365	#396	—	2	1	no	—
366	#396	—	2	1	no	—
367	#395	—	2	1	no	—
368	#395	—	2	1	no	—
369	#395	—	2	1	no	—
370	#395	—	2	1	no	—
371	#395	—	2	1	no	—
372	#395	—	2	1	no	—
373	#395	—	2	1	no	—
374	#395	—	2	1	no	—
375	#395	—	2	1	no	—
376	#395	—	2	1	no	—
377	#395	D₄	1	1	yes	characteristic
378	#395	D₄	1	1	yes	characteristic
379	#395	D₄	1	1	yes	characteristic
380	#395	D₄	1	1	yes	characteristic
381	#393	—	2	1	no	—
382	#393	—	2	1	no	—
383	#393	—	2	1	no	—
384	#393	—	2	1	no	—
385	#391	—	2	1	no	—
386	#391	—	2	1	no	—
387	#391	—	2	1	no	—
388	#391	—	2	1	no	—
389	#391	—	2	1	no	—
390	#391	—	2	1	no	—
391	#391	C₂³	1	1	yes	characteristic
392	#391	C₂³	1	1	yes	characteristic
393	#391	C₂³	1	1	yes	characteristic
394	#391	C₂³	1	1	yes	characteristic
395	#391	C₂³	1	1	yes	characteristic
396	#391	C₂³	1	1	yes	characteristic
397	#390	C₂³	1	1	yes	characteristic
398	#390	C₂³	1	1	yes	characteristic
399	#390	C₂³	1	1	yes	characteristic
400	#390	C₂³	1	1	yes	characteristic
401	#390	C₂³	1	1	yes	characteristic
402	#390	C₂³	1	1	yes	characteristic
403	#389	—	2	1	no	—
404	#389	—	2	1	no	—
405	#389	—	2	1	no	—
406	#389	—	2	1	no	—
407	#389	—	2	1	no	—
408	#389	—	2	1	no	—
409	#389	—	2	1	no	—
410	#389	—	2	1	no	—
411	#389	C₂³	1	1	yes	characteristic
412	#389	C₂³	1	1	yes	characteristic
413	#389	C₂³	1	1	yes	characteristic
414	#389	C₂³	1	1	yes	characteristic
415	#389	C₂³	1	1	yes	characteristic
416	#389	C₂³	1	1	yes	characteristic
417	#389	C₂³	1	1	yes	characteristic
418	#389	C₂³	1	1	yes	characteristic
419	#389	C₂³	1	1	yes	characteristic
420	#389	C₂³	1	1	yes	characteristic
421	#389	C₂³	1	1	yes	characteristic
422	#389	C₂³	1	1	yes	characteristic
423	#388	—	2	1	no	—
424	#388	—	2	1	no	—
425	#388	—	2	1	no	—
426	#388	—	2	1	no	—
427	#388	—	2	1	no	—
428	#388	—	2	1	no	—
429	#388	—	2	1	no	—
430	#388	—	2	1	no	—
431	#388	—	2	1	no	—
432	#388	—	2	1	no	—
433	#388	—	2	1	no	—
434	#388	—	2	1	no	—
435	#387	—	2	1	no	—
436	#387	—	2	1	no	—
437	#387	—	2	1	no	—
438	#387	—	2	1	no	—
439	#387	—	2	1	no	—
440	#387	—	2	1	no	—
441	#387	—	2	1	no	—
442	#387	—	2	1	no	—
443	#387	—	2	1	no	—
444	#387	—	2	1	no	—
445	#385	—	2	1	no	—
446	#385	—	2	1	no	—
447	#385	—	2	1	no	—
448	#385	—	2	1	no	—
449	#385	—	2	1	no	—
450	#385	—	2	1	no	—
451	#385	—	2	1	no	—
452	#385	—	2	1	no	—
453	#385	—	2	1	no	—
454	#385	—	2	1	no	—
455	#385	—	2	1	no	—
456	#385	—	2	1	no	—
457	#385	—	2	1	no	—
458	#385	—	2	1	no	—
459	#384	—	2	1	no	—
460	#384	C₂³	1	1	yes	characteristic
461	#384	C₂³	1	1	yes	characteristic
462	#384	C₂³	1	1	yes	characteristic
463	#382	C₂³	1	1	yes	characteristic
464	#380	—	2	1	no	—
465	#380	—	2	1	no	—
466	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
467	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
468	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
469	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
470	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
471	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
472	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
473	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
474	C₄×C₂²⋊C₄	—	2	1	no	—
475	C₄×C₂²⋊C₄	—	2	1	no	—
476	C₄×C₂²⋊C₄	—	2	1	no	—
477	C₄×C₂²⋊C₄	—	2	1	no	—
478	#376	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	#340	C₂³	1	1	yes	characteristic
489	#340	C₂³	1	1	yes	characteristic
490	#340	C₂³	1	1	yes	characteristic
491	#340	C₂³	1	1	yes	characteristic
492	#340	C₂³	1	1	yes	characteristic
493	#340	C₂³	1	1	yes	characteristic
494	#340	C₂³	1	1	yes	characteristic
495	#340	C₂³	1	1	yes	characteristic
496	#340	C₂³	1	1	yes	characteristic
497	#340	C₂³	1	1	yes	characteristic
498	#340	C₂³	1	1	yes	characteristic
499	#336	C₂³	1	1	yes	characteristic
500	#336	C₂³	1	1	yes	characteristic
501	#336	C₂³	1	1	yes	characteristic
502	#336	C₂³	1	1	yes	characteristic
503	#336	C₂³	1	1	yes	characteristic
504	#336	C₂³	1	1	yes	characteristic
505	#336	C₂³	1	1	yes	characteristic
506	#336	C₂³	1	1	yes	characteristic
507	#336	C₂³	1	1	yes	characteristic
508	#336	C₂³	1	1	yes	characteristic
509	#336	C₂³	1	1	yes	characteristic
510	#336	C₂³	1	1	yes	characteristic
511	#336	C₂³	1	1	yes	characteristic
512	#336	C₂³	1	1	yes	characteristic
513	#336	C₂³	1	1	yes	characteristic
514	#336	C₂³	1	1	yes	characteristic
515	C₂²×Q₈	—	2	1	no	—
516	C₂²×Q₈	—	2	1	no	—
517	C₂²×Q₈	—	2	1	no	—
518	C₂²×Q₈	—	2	1	no	—
519	C₂²×Q₈	—	2	1	no	—
520	C₂²×Q₈	—	2	1	no	—
521	C₂²×Q₈	—	2	1	no	—
522	C₂²×Q₈	—	4	4	no	—
523	C₂²×Q₈	—	8	2	no	—
524	C₂²×Q₈	—	8	2	no	—
525	C₂²×Q₈	C₂×D₄	1	1	yes	characteristic
526	C₂²×Q₈	C₂×D₄	1	1	yes	characteristic
527	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
528	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
529	C₂²×D₄	C₂⁴	1	1	yes	characteristic
530	C₂²×D₄	C₂⁴	1	1	yes	characteristic
531	C₂³×C₄	—	2	1	no	—
532	C₂³×C₄	—	2	1	no	—
533	C₂³×C₄	—	2	1	no	—
534	C₂³×C₄	—	2	1	no	—
535	C₂³×C₄	—	2	1	no	—
536	C₂³×C₄	—	2	1	no	—
537	C₂×Q₁₆	—	2	2	no	—
538	C₂×Q₁₆	—	2	2	no	—
539	C₂×Q₁₆	—	2	2	no	—
540	C₂×SD₁₆	—	2	2	no	—
541	C₂×SD₁₆	—	2	2	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×D₈	—	2	2	no	—
547	C₂×D₈	—	2	2	no	—
548	C₂×D₈	—	2	2	no	—
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	C₂²×C₈	C₂⁴	1	1	yes	characteristic
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	—	2	2	no	—
563	C₄⋊Q₈	—	2	2	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	4	no	—
571	C₄⋊Q₈	—	4	4	no	—
572	C₄⋊Q₈	—	4	4	no	—
573	C₄⋊Q₈	—	4	4	no	—
574	C₄⋊Q₈	—	8	2	no	—
575	C₄⋊Q₈	—	8	2	no	—
576	C₄⋊Q₈	—	8	2	no	—
577	C₄⋊Q₈	C₂×D₄	1	4	yes	—
578	#125	—	2	2	no	—
579	#125	—	2	2	no	—
580	#125	—	2	2	no	—
581	#125	—	4	1	no	—
582	#125	—	4	1	no	—
583	#125	—	4	4	no	—
584	#125	—	4	4	no	—
585	#125	C₂×D₄	1	4	yes	—
586	#124	—	2	2	no	—
587	#124	—	2	2	no	—
588	#124	—	2	2	no	—
589	#124	—	2	2	no	—
590	C₂²⋊Q₈	—	4	4	no	—
591	C₂²⋊Q₈	—	4	4	no	—
592	C₂²⋊Q₈	—	4	4	no	—
593	C₂²⋊Q₈	—	4	4	no	—
594	C₂²⋊Q₈	—	4	4	no	—
595	C₂²⋊Q₈	—	4	4	no	—
596	C₂²⋊Q₈	—	8	2	no	—
597	C₂²⋊Q₈	—	8	2	no	—
598	C₂²⋊Q₈	—	8	2	no	—
599	C₂²⋊Q₈	—	8	2	no	—
600	C₄×Q₈	—	2	2	no	—
601	C₄×Q₈	—	2	2	no	—
602	C₄×Q₈	—	2	2	no	—
603	C₄×Q₈	—	2	2	no	—
604	C₄×Q₈	—	2	2	no	—
605	C₄×Q₈	—	2	2	no	—
606	C₄×Q₈	—	2	2	no	—
607	C₄×Q₈	—	2	2	no	—
608	C₄×Q₈	—	2	2	no	—
609	C₄×Q₈	—	2	2	no	—
610	C₄×Q₈	—	2	2	no	—
611	C₄×Q₈	—	2	2	no	—
612	C₄×Q₈	—	4	1	no	—
613	C₄×Q₈	—	4	1	no	—
614	C₄×Q₈	—	4	1	no	—
615	C₄×Q₈	—	4	1	no	—
616	C₄×Q₈	—	4	4	no	—
617	C₄×Q₈	—	4	4	no	—
618	C₄×D₄	—	2	2	no	—
619	C₄×D₄	—	2	2	no	—
620	C₄×D₄	—	2	2	no	—
621	C₄×D₄	—	2	2	no	—
622	C₄×D₄	—	2	2	no	—
623	C₄×D₄	—	2	2	no	—
624	C₄×D₄	—	2	2	no	—
625	C₄×D₄	—	2	2	no	—
626	C₄×D₄	—	4	1	no	—
627	C₄×D₄	—	4	1	no	—
628	C₄×D₄	—	4	1	no	—
629	C₄×D₄	—	4	1	no	—
630	C₂×C₄⋊C₄	—	2	1	no	—
631	C₂×C₄⋊C₄	—	2	1	no	—
632	C₂×C₄⋊C₄	—	2	1	no	—
633	C₂×C₄⋊C₄	—	2	1	no	—
634	C₂×C₄⋊C₄	—	2	1	no	—
635	C₂×C₄⋊C₄	—	2	1	no	—
636	C₂×C₄⋊C₄	—	2	1	no	—
637	C₂×C₄⋊C₄	—	2	1	no	—
638	C₂×C₄⋊C₄	—	2	1	no	—
639	C₂×C₄⋊C₄	—	2	1	no	—
640	C₂×C₄⋊C₄	—	2	1	no	—
641	C₂×C₄⋊C₄	—	2	1	no	—
642	C₂×C₄⋊C₄	—	2	1	no	—
643	C₂×C₄⋊C₄	—	2	1	no	—
644	C₂×C₄⋊C₄	—	2	1	no	—
645	C₂×C₄⋊C₄	—	2	1	no	—
646	C₂×C₄⋊C₄	—	2	1	no	—
647	C₂×C₄⋊C₄	—	2	1	no	—
648	C₂×C₄⋊C₄	—	2	1	no	—
649	C₂×C₄⋊C₄	—	2	1	no	—
650	C₂×C₄⋊C₄	—	2	1	no	—
651	C₂×C₄⋊C₄	—	2	1	no	—
652	C₂×C₄⋊C₄	—	2	1	no	—
653	C₂×C₄⋊C₄	—	2	1	no	—
654	C₂×C₄⋊C₄	—	2	1	no	—
655	C₂×C₄⋊C₄	—	2	1	no	—
656	C₂×C₄⋊C₄	—	2	1	no	—
657	C₂×C₄⋊C₄	—	2	1	no	—
658	C₂×C₄⋊C₄	—	2	1	no	—
659	C₂×C₄⋊C₄	—	2	1	no	—
660	C₂×C₄⋊C₄	—	2	1	no	—
661	C₂×C₄⋊C₄	—	2	1	no	—
662	C₂×C₄⋊C₄	—	2	1	no	—
663	C₂×C₄⋊C₄	—	2	1	no	—
664	C₂×C₄⋊C₄	—	2	1	no	—
665	C₂×C₄⋊C₄	—	2	1	no	—
666	C₂×C₄⋊C₄	—	2	1	no	—
667	C₂×C₄⋊C₄	—	4	4	no	—
668	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
669	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
670	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
671	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
672	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
673	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
674	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
675	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
676	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
677	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
678	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
679	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
680	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
681	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
682	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
683	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
684	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
685	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
686	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
687	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
688	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
689	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
690	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
691	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
692	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
693	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
694	C₂×C₂²⋊C₄	—	2	1	no	—
695	C₂×C₂²⋊C₄	—	2	1	no	—
696	C₂×C₂²⋊C₄	—	2	1	no	—
697	C₂×C₂²⋊C₄	—	2	1	no	—
698	C₂×C₂²⋊C₄	—	2	1	no	—
699	C₂×C₂²⋊C₄	—	2	1	no	—
700	C₂×C₂²⋊C₄	—	2	1	no	—
701	C₂×C₂²⋊C₄	—	2	1	no	—
702	C₂×C₂²⋊C₄	—	2	1	no	—
703	C₂×C₂²⋊C₄	—	2	1	no	—
704	C₂×C₂²⋊C₄	—	2	1	no	—
705	C₂×C₂²⋊C₄	—	2	1	no	—
706	C₂×C₂²⋊C₄	—	2	1	no	—
707	C₂×C₂²⋊C₄	—	2	1	no	—
708	C₂×C₂²⋊C₄	—	2	1	no	—
709	C₂×C₂²⋊C₄	—	2	1	no	—
710	C₂×C₂²⋊C₄	—	2	1	no	—
711	C₂×C₂²⋊C₄	—	2	1	no	—
712	C₂×C₂²⋊C₄	—	2	1	no	—
713	C₂×C₂²⋊C₄	—	2	1	no	—
714	C₂×C₂²⋊C₄	—	2	1	no	—
715	C₂×C₂²⋊C₄	—	2	1	no	—
716	C₂×C₄²	—	2	1	no	—
717	C₂×C₄²	—	2	1	no	—
718	C₂×C₄²	—	2	1	no	—
719	C₂×C₄²	—	2	1	no	—
720	C₂×C₄²	—	2	1	no	—
721	C₂×C₄²	—	2	1	no	—
722	C₂×C₄²	—	2	1	no	—
723	C₂×C₄²	—	2	1	no	—
724	C₂×C₄²	—	2	1	no	—
725	C₂×C₄²	—	2	1	no	—
726	C₂×C₄²	C₂⁴	1	1	yes	characteristic
727	C₂×C₄²	C₂⁴	1	1	yes	characteristic
728	C₂×C₄²	C₂⁴	1	1	yes	characteristic
729	C₂×C₄²	C₂⁴	1	1	yes	characteristic
730	C₂×C₄²	C₂⁴	1	1	yes	characteristic
731	C₂×C₄²	C₂⁴	1	1	yes	characteristic
732	C₂×C₄²	C₂⁴	1	1	yes	characteristic
733	#107	—	2	2	no	—
734	#107	—	2	2	no	—
735	#107	C₂×D₄	1	4	yes	—
736	#107	C₂×D₄	1	4	yes	—
737	#106	—	2	2	no	—
738	#106	—	2	2	no	—
739	#106	—	2	2	no	—
740	#106	—	2	2	no	—
741	#106	—	2	2	no	—
742	#106	—	2	2	no	—
743	#106	—	2	2	no	—
744	#106	—	2	2	no	—
745	#106	—	4	1	no	—
746	#106	—	4	1	no	—
747	#106	C₂×D₄	1	4	yes	—
748	#106	C₂×D₄	1	4	yes	—
749	C₄⋊C₈	—	2	2	no	—
750	C₄⋊C₈	—	2	2	no	—
751	C₄⋊C₈	—	2	2	no	—
752	C₄⋊C₈	—	2	2	no	—
753	C₄⋊C₈	—	2	2	no	—
754	C₄⋊C₈	—	2	2	no	—
755	#103	—	2	2	no	—
756	#103	—	2	2	no	—
757	#103	—	2	2	no	—
758	#103	—	2	2	no	—
759	#103	—	2	2	no	—
760	#103	—	2	2	no	—
761	#103	—	2	2	no	—
762	#103	—	2	2	no	—
763	#103	—	2	2	no	—
764	#103	—	2	2	no	—
765	#103	—	4	1	no	—
766	#103	—	4	1	no	—
767	#102	—	2	2	no	—
768	#102	—	2	2	no	—
769	#102	—	2	2	no	—
770	#102	—	2	2	no	—
771	#102	—	2	2	no	—
772	#102	—	2	2	no	—
773	#102	—	2	2	no	—
774	#102	—	2	2	no	—
775	#102	—	2	2	no	—
776	#102	—	2	2	no	—
777	#102	—	4	1	no	—
778	#102	—	4	1	no	—
779	#97	—	2	2	no	—
780	#97	—	2	2	no	—
781	#97	C₂×D₄	1	4	yes	—
782	C₄×C₈	—	2	2	no	—
783	C₄×C₈	—	2	2	no	—
784	C₄×C₈	—	2	2	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	—	2	1	no	—
802	#95	—	2	1	no	—
803	#95	—	2	1	no	—
804	#95	—	2	1	no	—
805	#95	—	2	1	no	—
806	#95	—	2	1	no	—
807	#95	—	2	1	no	—
808	#95	—	2	1	no	—
809	#95	—	2	1	no	—
810	#95	—	2	1	no	—
811	#95	—	2	1	no	—
812	#95	—	2	1	no	—
813	#95	—	2	1	no	—
814	#95	—	2	1	no	—
815	#95	C₂×D₄	1	1	yes	characteristic
816	#95	C₂×D₄	1	1	yes	characteristic
817	#95	C₂×D₄	1	1	yes	characteristic
818	#95	C₂×D₄	1	1	yes	characteristic
819	#95	C₂×D₄	1	1	yes	characteristic
820	#95	C₂×D₄	1	1	yes	characteristic
821	#95	C₂×D₄	1	1	yes	characteristic
822	#95	C₂×D₄	1	1	yes	characteristic
823	#95	C₂×D₄	1	1	yes	characteristic
824	#95	C₂×D₄	1	1	yes	characteristic
825	#95	C₂×D₄	1	1	yes	characteristic
826	#95	C₂×D₄	1	1	yes	characteristic
827	C₂⁴	—	2	1	no	—
828	C₂⁴	—	2	1	no	—
829	C₂×Q₈	—	2	2	no	—
830	C₂×Q₈	—	2	2	no	—
831	C₂×Q₈	—	2	4	no	—
832	C₂×Q₈	—	2	2	no	—
833	C₂×Q₈	—	2	2	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	—	4	1	no	—
845	C₂×Q₈	—	4	1	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	—	4	2	no	—
851	C₂×Q₈	—	4	2	no	—
852	C₂×Q₈	—	4	2	no	—
853	C₂×Q₈	—	4	2	no	—
854	C₂×Q₈	—	4	2	no	—
855	C₂×Q₈	—	8	1	no	—
856	C₂×Q₈	—	8	1	no	—
857	C₂×Q₈	—	8	1	no	—
858	C₂×Q₈	—	8	1	no	—
859	C₂×Q₈	—	8	1	no	—
860	C₂×Q₈	—	8	1	no	—
861	C₂×Q₈	—	8	1	no	—
862	C₂×Q₈	—	8	1	no	—
863	C₂×Q₈	—	8	1	no	—
864	C₂×Q₈	—	8	1	no	—
865	C₂×Q₈	—	8	1	no	—
866	C₂×Q₈	—	8	16	no	—
867	C₂×Q₈	2₋¹⁺⁴	1	2	yes	—
868	C₂×Q₈	2₋¹⁺⁴	1	2	yes	—
869	C₂×D₄	—	2	1	no	—
870	C₂×D₄	—	2	1	no	—
871	C₂×D₄	—	2	1	no	—
872	C₂×D₄	—	2	1	no	—
873	C₂×D₄	—	2	1	no	—
874	C₂×D₄	—	2	1	no	—
875	C₂×D₄	—	2	1	no	—
876	C₂×D₄	—	2	1	no	—
877	C₂×D₄	—	2	1	no	—
878	C₂×D₄	—	2	1	no	—
879	C₂×D₄	2₋¹⁺⁴	1	2	yes	—
880	C₂×D₄	2₋¹⁺⁴	1	2	yes	—
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	—	2	1	no	—
890	C₂²×C₄	—	2	1	no	—
891	C₂²×C₄	—	2	1	no	—
892	C₂²×C₄	—	2	1	no	—
893	C₂²×C₄	—	2	1	no	—
894	C₂²×C₄	—	2	1	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	—	4	2	no	—
900	C₂²×C₄	—	4	2	no	—
901	C₂²×C₄	—	4	2	no	—
902	C₂²×C₄	—	4	2	no	—
903	C₂²×C₄	—	4	2	no	—
904	C₂²×C₄	—	8	1	no	—
905	C₂²×C₄	—	8	1	no	—
906	C₂²×C₄	—	8	1	no	—
907	C₂²×C₄	—	8	1	no	—
908	C₂²×C₄	—	8	1	no	—
909	C₂²×C₄	—	8	1	no	—
910	C₂²×C₄	—	8	1	no	—
911	C₂²×C₄	—	8	1	no	—
912	C₂²×C₄	—	8	1	no	—
913	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
914	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
915	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
916	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
917	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
918	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
919	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
920	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
921	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
922	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
923	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
924	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
925	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
926	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
927	C₂²×C₄	C₂⁵	1	1	yes	characteristic
928	Q₁₆	—	2	8	no	—
929	SD₁₆	—	4	4	no	—
930	SD₁₆	—	4	4	no	—
931	D₈	—	2	8	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	—	2	1	no	—
946	C₂×C₈	—	2	1	no	—
947	C₂×C₈	—	2	1	no	—
948	C₂×C₈	—	2	1	no	—
949	C₂×C₈	—	2	1	no	—
950	C₂×C₈	—	2	1	no	—
951	C₂×C₈	—	2	1	no	—
952	C₂×C₈	—	2	1	no	—
953	C₂×C₈	—	2	1	no	—
954	C₂×C₈	C₂²×D₄	1	2	yes	—
955	C₂×C₈	C₂²×D₄	1	2	yes	—
956	C₄⋊C₄	—	2	4	no	—
957	C₄⋊C₄	—	2	4	no	—
958	C₄⋊C₄	—	2	4	no	—
959	C₄⋊C₄	—	2	2	no	—
960	C₄⋊C₄	—	2	2	no	—
961	C₄⋊C₄	—	2	2	no	—
962	C₄⋊C₄	—	2	2	no	—
963	C₄⋊C₄	—	2	2	no	—
964	C₄⋊C₄	—	2	2	no	—
965	C₄⋊C₄	—	2	2	no	—
966	C₄⋊C₄	—	2	2	no	—
967	C₄⋊C₄	—	2	2	no	—
968	C₄⋊C₄	—	2	2	no	—
969	C₄⋊C₄	—	2	1	no	—
970	C₄⋊C₄	—	2	1	no	—
971	C₄⋊C₄	—	2	1	no	—
972	C₄⋊C₄	—	2	1	no	—
973	C₄⋊C₄	—	2	1	no	—
974	C₄⋊C₄	—	2	1	no	—
975	C₄⋊C₄	—	2	1	no	—
976	C₄⋊C₄	—	2	1	no	—
977	C₄⋊C₄	—	2	1	no	—
978	C₄⋊C₄	—	2	1	no	—
979	C₄⋊C₄	—	2	1	no	—
980	C₄⋊C₄	—	2	1	no	—
981	C₄⋊C₄	—	2	1	no	—
982	C₄⋊C₄	—	2	1	no	—
983	C₄⋊C₄	—	2	1	no	—
984	C₄⋊C₄	—	2	1	no	—
985	C₄⋊C₄	—	2	1	no	—
986	C₄⋊C₄	—	2	1	no	—
987	C₄⋊C₄	—	2	1	no	—
988	C₄⋊C₄	—	2	1	no	—
989	C₄⋊C₄	—	4	1	no	—
990	C₄⋊C₄	—	4	1	no	—
991	C₄⋊C₄	—	4	1	no	—
992	C₄⋊C₄	—	4	1	no	—
993	C₄⋊C₄	—	4	2	no	—
994	C₄⋊C₄	—	4	2	no	—
995	C₄⋊C₄	—	4	2	no	—
996	C₄⋊C₄	—	4	2	no	—
997	C₄⋊C₄	—	4	2	no	—
998	C₄⋊C₄	—	4	2	no	—
999	C₄⋊C₄	—	4	2	no	—
1000	C₄⋊C₄	—	4	2	no	—
1001	C₄⋊C₄	—	4	2	no	—
1002	C₄⋊C₄	—	4	2	no	—
1003	C₄⋊C₄	—	4	2	no	—
1004	C₄⋊C₄	—	4	2	no	—
1005	C₄⋊C₄	—	4	2	no	—
1006	C₄⋊C₄	—	4	2	no	—
1007	C₄⋊C₄	—	4	2	no	—
1008	C₄⋊C₄	—	4	2	no	—
1009	C₄⋊C₄	—	4	2	no	—
1010	C₄⋊C₄	—	4	2	no	—
1011	C₄⋊C₄	—	4	2	no	—
1012	C₄⋊C₄	—	8	1	no	—
1013	C₄⋊C₄	—	8	1	no	—
1014	C₄⋊C₄	—	8	1	no	—
1015	C₄⋊C₄	—	8	1	no	—
1016	C₄⋊C₄	—	8	1	no	—
1017	C₄⋊C₄	—	8	1	no	—
1018	C₄⋊C₄	—	8	1	no	—
1019	C₄⋊C₄	—	8	1	no	—
1020	C₄⋊C₄	—	8	1	no	—
1021	C₄⋊C₄	—	8	1	no	—
1022	C₄⋊C₄	—	8	1	no	—
1023	C₄⋊C₄	—	8	1	no	—
1024	C₄⋊C₄	—	8	1	no	—
1025	C₄⋊C₄	—	8	1	no	—
1026	C₄⋊C₄	—	8	1	no	—
1027	C₄⋊C₄	C₂²×D₄	1	2	yes	—
1028	C₄⋊C₄	C₂²×D₄	1	2	yes	—
1029	C₄⋊C₄	C₂²×D₄	1	2	yes	—
1030	C₄⋊C₄	C₂²×D₄	1	2	yes	—
1031	C₂²⋊C₄	—	2	4	no	—
1032	C₂²⋊C₄	—	2	4	no	—
1033	C₂²⋊C₄	—	2	4	no	—
1034	C₂²⋊C₄	—	2	4	no	—
1035	C₂²⋊C₄	—	4	2	no	—
1036	C₂²⋊C₄	—	4	2	no	—
1037	C₂²⋊C₄	—	4	2	no	—
1038	C₂²⋊C₄	—	4	2	no	—
1039	C₂²⋊C₄	—	4	2	no	—
1040	C₂²⋊C₄	—	4	2	no	—
1041	C₂²⋊C₄	—	4	2	no	—
1042	C₂²⋊C₄	—	4	2	no	—
1043	C₂²⋊C₄	—	4	2	no	—
1044	C₂²⋊C₄	—	8	1	no	—
1045	C₂²⋊C₄	—	8	1	no	—
1046	C₂²⋊C₄	—	8	1	no	—
1047	C₂²⋊C₄	—	8	1	no	—
1048	C₂²⋊C₄	—	8	1	no	—
1049	C₂²⋊C₄	—	8	1	no	—
1050	C₂²⋊C₄	—	8	1	no	—
1051	C₂²⋊C₄	—	8	1	no	—
1052	C₂²⋊C₄	—	8	1	no	—
1053	C₄²	—	2	1	no	—
1054	C₄²	—	2	1	no	—
1055	C₄²	—	2	1	no	—
1056	C₄²	—	2	1	no	—
1057	C₄²	—	2	1	no	—
1058	C₄²	—	2	1	no	—
1059	C₄²	—	2	1	no	—
1060	C₄²	—	2	1	no	—
1061	C₄²	—	2	1	no	—
1062	C₄²	—	2	1	no	—
1063	C₄²	—	2	1	no	—
1064	C₄²	—	2	1	no	—
1065	C₄²	—	4	2	no	—
1066	C₄²	—	4	2	no	—
1067	C₄²	—	4	2	no	—
1068	C₄²	—	4	2	no	—
1069	C₄²	—	4	2	no	—
1070	C₄²	—	4	2	no	—
1071	C₄²	—	8	1	no	—
1072	C₄²	—	8	1	no	—
1073	C₄²	—	8	1	no	—
1074	C₄²	—	8	1	no	—
1075	C₄²	C₂²×D₄	1	2	yes	—
1076	C₄²	H(5,𝔽₂)	1	2	yes	—
1077	C₂³	—	2	2	no	—
1078	C₂³	—	2	2	no	—
1079	C₂³	—	4	1	no	—
1080	C₂³	—	4	1	no	—
1081	C₂³	—	4	1	no	—
1082	C₂³	—	4	1	no	—
1083	C₂³	—	4	1	no	—
1084	C₂³	—	4	1	no	—
1085	C₂³	—	4	1	no	—
1086	C₂³	—	4	1	no	—
1087	C₂³	—	4	1	no	—
1088	C₂³	—	4	1	no	—
1089	C₂³	—	4	1	no	—
1090	C₂³	—	4	1	no	—
1091	C₂³	C₂³×D₄	1	1	yes	characteristic
1092	Q₈	—	2	2	no	—
1093	Q₈	—	2	2	no	—
1094	Q₈	—	2	2	no	—
1095	Q₈	—	2	2	no	—
1096	Q₈	—	4	4	no	—
1097	Q₈	—	4	4	no	—
1098	Q₈	—	4	1	no	—
1099	Q₈	—	4	1	no	—
1100	Q₈	—	4	1	no	—
1101	Q₈	—	4	1	no	—
1102	Q₈	—	8	4	no	—
1103	Q₈	—	8	4	no	—
1104	Q₈	—	8	4	no	—
1105	Q₈	—	8	4	no	—
1106	Q₈	—	16	2	no	—
1107	Q₈	—	16	2	no	—
1108	Q₈	—	16	2	no	—
1109	D₄	—	2	2	no	—
1110	D₄	—	2	2	no	—
1111	D₄	—	2	2	no	—
1112	D₄	—	2	2	no	—
1113	D₄	—	4	1	no	—
1114	D₄	—	4	1	no	—
1115	D₄	—	4	1	no	—
1116	D₄	—	4	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	—	2	1	no	—
1133	C₂×C₄	—	2	1	no	—
1134	C₂×C₄	—	2	1	no	—
1135	C₂×C₄	—	2	1	no	—
1136	C₂×C₄	—	2	1	no	—
1137	C₂×C₄	—	2	1	no	—
1138	C₂×C₄	—	2	1	no	—
1139	C₂×C₄	—	2	1	no	—
1140	C₂×C₄	—	2	1	no	—
1141	C₂×C₄	—	2	2	no	—
1142	C₂×C₄	—	2	2	no	—
1143	C₂×C₄	—	2	2	no	—
1144	C₂×C₄	—	2	2	no	—
1145	C₂×C₄	—	2	1	no	—
1146	C₂×C₄	—	2	1	no	—
1147	C₂×C₄	—	2	1	no	—
1148	C₂×C₄	—	2	1	no	—
1149	C₂×C₄	—	2	2	no	—
1150	C₂×C₄	—	2	2	no	—
1151	C₂×C₄	—	2	1	no	—
1152	C₂×C₄	—	2	1	no	—
1153	C₂×C₄	—	2	1	no	—
1154	C₂×C₄	—	2	1	no	—
1155	C₂×C₄	—	2	1	no	—
1156	C₂×C₄	—	2	1	no	—
1157	C₂×C₄	—	2	1	no	—
1158	C₂×C₄	—	2	1	no	—
1159	C₂×C₄	—	2	1	no	—
1160	C₂×C₄	—	2	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	—	4	1	no	—
1179	C₂×C₄	—	4	1	no	—
1180	C₂×C₄	—	4	1	no	—
1181	C₂×C₄	—	4	1	no	—
1182	C₂×C₄	—	4	1	no	—
1183	C₂×C₄	—	4	1	no	—
1184	C₂×C₄	—	4	1	no	—
1185	C₂×C₄	—	4	1	no	—
1186	C₂×C₄	—	4	1	no	—
1187	C₂×C₄	—	4	1	no	—
1188	C₂×C₄	—	4	1	no	—
1189	C₂×C₄	—	4	1	no	—
1190	C₂×C₄	—	4	1	no	—
1191	C₂×C₄	—	4	1	no	—
1192	C₂×C₄	—	4	1	no	—
1193	C₂×C₄	—	4	1	no	—
1194	C₂×C₄	—	4	1	no	—
1195	C₂×C₄	—	4	1	no	—
1196	C₂×C₄	—	4	1	no	—
1197	C₂×C₄	—	8	4	no	—
1198	C₂×C₄	—	8	4	no	—
1199	C₂×C₄	—	8	4	no	—
1200	C₂×C₄	—	8	4	no	—
1201	C₂×C₄	—	16	2	no	—
1202	C₂×C₄	—	16	2	no	—
1203	C₂×C₄	D₄²	1	2	yes	—
1204	C₂×C₄	D₄²	1	2	yes	—
1205	C₂×C₄	#577	1	2	yes	—
1206	C₂×C₄	#577	1	2	yes	—
1207	C₂×C₄	C₂³×D₄	1	1	yes	characteristic
1208	C₂×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1209	C₂×C₄	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1210	C₂×C₄	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1211	C₂×C₄	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1212	C₂×C₄	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1213	C₈	—	2	2	no	—
1214	C₈	—	2	2	no	—
1215	C₈	—	4	1	no	—
1216	C₈	—	4	1	no	—
1217	C₈	—	4	1	no	—
1218	C₈	—	4	1	no	—
1219	C₈	—	4	1	no	—
1220	C₈	—	4	1	no	—
1221	C₂²	—	4	2	no	—
1222	C₂²	—	4	2	no	—
1223	C₂²	—	4	2	no	—
1224	C₂²	—	4	2	no	—
1225	C₂²	—	4	2	no	—
1226	C₂²	—	4	2	no	—
1227	C₂²	—	8	1	no	—
1228	C₂²	—	8	1	no	—
1229	C₂²	—	8	1	no	—
1230	C₂²	—	8	1	no	—
1231	C₂²	—	8	1	no	—
1232	C₂²	—	8	1	no	—
1233	C₂²	—	8	1	no	—
1234	C₂²	—	8	1	no	—
1235	C₂²	C₂×D₄²	1	1	yes	characteristic
1236	C₂²	#3486	1	1	yes	characteristic
1237	C₂²	#3486	1	1	yes	characteristic
1238	C₂²	C₂×#577	1	1	yes	characteristic
1239	C₂²	C₂×#577	1	1	yes	characteristic
1240	C₂²	#3585	1	1	yes	characteristic
1241	C₂²	#3586	1	1	yes	characteristic
1242	C₄	—	2	2	no	—
1243	C₄	—	2	2	no	—
1244	C₄	—	2	2	no	—
1245	C₄	—	2	2	no	—
1246	C₄	—	4	2	no	—
1247	C₄	—	4	2	no	—
1248	C₄	—	4	1	no	—
1249	C₄	—	4	1	no	—
1250	C₄	—	4	1	no	—
1251	C₄	—	4	2	no	—
1252	C₄	—	4	2	no	—
1253	C₄	—	4	2	no	—
1254	C₄	—	4	1	no	—
1255	C₄	—	4	1	no	—
1256	C₄	—	4	1	no	—
1257	C₄	—	4	2	no	—
1258	C₄	—	4	1	no	—
1259	C₄	—	4	1	no	—
1260	C₄	—	4	1	no	—
1261	C₄	—	4	1	no	—
1262	C₄	—	8	1	no	—
1263	C₄	—	8	1	no	—
1264	C₄	—	8	1	no	—
1265	C₄	—	8	1	no	—
1266	C₄	—	8	1	no	—
1267	C₄	—	8	1	no	—
1268	C₄	—	8	1	no	—
1269	C₄	—	8	1	no	—
1270	C₄	#3486	1	1	yes	characteristic
1271	C₄	#3486	1	1	yes	characteristic
1272	C₄	#3538	1	1	yes	characteristic
1273	C₄	#3538	1	1	yes	characteristic
1274	C₂	—	8	2	no	—
1275	C₂	—	8	2	no	—
1276	C₂	#45418	1	1	yes	characteristic
1277	C₂	#61071	1	1	yes	characteristic
1278	C₂	#61075	1	1	yes	characteristic
1279	C₂	#61858	1	1	yes	characteristic
1280	C₂	#61860	1	1	yes	characteristic
1281	C₂	#61871	1	1	yes	characteristic
1282	C₂	#61878	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³	C₂³×D₄
commutator, Frattini, cosocle	C₂²×C₄	C₂⁵
prime radical	C₂²×D₈	C₂³
LCS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³ ◁ #2399 ◁ G
LECS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁

Complements

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

N	H ≅ G/N	type
1. C₂×#3387	C₂	semidirect
3. #45424	C₂	semidirect
4. #44934	C₂	semidirect
5. #30975	C₂	semidirect
6. #30973	C₂	semidirect
7. #30968	C₂	semidirect
8. #30962	C₂	semidirect
9. #30954	C₂	semidirect
10. #30954	C₂	semidirect
11. #30949	C₂	semidirect
12. #30949	C₂	semidirect
13. #28215	C₂	semidirect
14. #28212	C₂	semidirect
15. #28198	C₂	semidirect
17. #26908	C₂	semidirect
18. #26908	C₂	semidirect
21. #26893	C₂	semidirect
22. #26892	C₂	semidirect
25. #24337	C₂	semidirect
26. #24334	C₂	semidirect
27. #24330	C₂	semidirect
28. #24329	C₂	semidirect
30. #22255	C₂	semidirect
31. #22245	C₂	semidirect

Maximal subgroups

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

subgroup	index
C₂×#3387	2
C₂×#3384	2
#45424	2
#44934	2
#30975	2
#30973	2
#30968	2
#30962	2
#30954	2
#30949	2
#28215	2
#28212	2
#28198	2
#28197	2
#26908	2
#26907	2
#26893	2
#26892	2
#26891	2
#26890	2
#24337	2
#24334	2
#24330	2
#24329	2
#23813	2
#22255	2
#22245	2