Subgroups — #6559065

Order 512.

2070 conjugacy classes of subgroups.

The subgroup lattice has 1201 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#3389	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#3385	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#3370	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#3375	C₂	1	1	yes	maximal, characteristic, complemented
5	#39617	C₂	1	1	yes	maximal, characteristic, complemented
6	#39161	C₂	1	1	yes	maximal, characteristic, complemented
7	#30289	C₂	1	1	yes	maximal, characteristic, complemented
8	#30287	C₂	1	1	yes	maximal, characteristic, complemented
9	#30285	C₂	1	1	yes	maximal, characteristic, complemented
10	#28545	C₂	1	1	yes	maximal, characteristic, complemented
11	#28545	C₂	1	1	yes	maximal, characteristic, complemented
12	#28544	C₂	1	1	yes	maximal, characteristic, complemented
13	#28543	C₂	1	1	yes	maximal, characteristic, complemented
14	#28535	C₂	1	1	yes	maximal, characteristic, complemented
15	#28527	C₂	1	1	yes	maximal, characteristic, complemented
16	#28525	C₂	1	1	yes	maximal, characteristic, complemented
17	#28523	C₂	1	1	yes	maximal, characteristic, complemented
18	#28508	C₂	1	1	yes	maximal, characteristic, complemented
19	#28435	C₂	1	1	yes	maximal, characteristic, complemented
20	#28430	C₂	1	1	yes	maximal, characteristic, complemented
21	#28428	C₂	1	1	yes	maximal, characteristic, complemented
22	#28422	C₂	1	1	yes	maximal, characteristic, complemented
23	#28408	C₂	1	1	yes	maximal, characteristic, complemented
24	#28397	C₂	1	1	yes	maximal, characteristic
25	#28394	C₂	1	1	yes	maximal, characteristic, complemented
26	#28389	C₂	1	1	yes	maximal, characteristic, complemented
27	#28376	C₂	1	1	yes	maximal, characteristic, complemented
28	#23812	C₂	1	1	yes	maximal, characteristic, complemented
29	#23808	C₂	1	1	yes	maximal, characteristic, complemented
30	#23806	C₂	1	1	yes	maximal, characteristic, complemented
31	#20575	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#559	C₂²	1	1	yes	characteristic
33	C₂×Q₈²	C₂²	1	1	yes	characteristic
34	C₂×#554	C₂²	1	1	yes	characteristic
35	C₂×#554	C₂²	1	1	yes	characteristic
36	#3389	—	2	8	no	—
37	#3385	—	2	8	no	—
38	#3375	—	2	8	no	—
39	#3370	—	2	8	no	—
40	C₂×#501	C₂²	1	1	yes	characteristic
41	C₂×#501	C₂²	1	1	yes	characteristic
42	C₂×#501	C₂²	1	1	yes	characteristic
43	C₂×#501	C₂²	1	1	yes	characteristic
44	C₂×#500	C₂²	1	1	yes	characteristic
45	C₂×#499	C₂²	1	1	yes	characteristic
46	C₂×#490	C₂²	1	1	yes	characteristic
47	C₂×#489	C₂²	1	1	yes	characteristic
48	C₂×#489	C₂²	1	1	yes	characteristic
49	C₂×#489	C₂²	1	1	yes	characteristic
50	C₂×#488	C₂²	1	1	yes	characteristic
51	C₂×#486	C₂²	1	1	yes	characteristic
52	C₂×#479	C₂²	1	1	yes	characteristic
53	C₂×#479	C₂²	1	1	yes	characteristic
54	C₂×#479	C₂²	1	1	yes	characteristic
55	C₂×#477	C₂²	1	1	yes	characteristic
56	C₂×#477	C₂²	1	1	yes	characteristic
57	C₂×#478	C₂²	1	1	yes	characteristic
58	C₂×#478	C₂²	1	1	yes	characteristic
59	C₂×#478	C₂²	1	1	yes	characteristic
60	C₂×#478	C₂²	1	1	yes	characteristic
61	C₂×#478	C₂²	1	1	yes	characteristic
62	C₂×#476	C₂²	1	1	yes	characteristic
63	C₂×#474	C₂²	1	1	yes	characteristic
64	C₂×#474	C₂²	1	1	yes	characteristic
65	C₂×#474	C₂²	1	1	yes	characteristic
66	C₂×#474	C₂²	1	1	yes	characteristic
67	C₂×#474	C₂²	1	1	yes	characteristic
68	C₂×#474	C₂²	1	1	yes	characteristic
69	C₂×#474	C₂²	1	1	yes	characteristic
70	C₂×#464	C₂²	1	1	yes	characteristic
71	C₂×#464	C₂²	1	1	yes	characteristic
72	C₂×#460	C₂²	1	1	yes	characteristic
73	C₂×#463	C₂²	1	1	yes	characteristic
74	C₂×#463	C₂²	1	1	yes	characteristic
75	C₂×#459	C₂²	1	1	yes	characteristic
76	C₂×#446	C₂²	1	1	yes	characteristic
77	C₂×#446	C₂²	1	1	yes	characteristic
78	C₂×#442	C₂²	1	1	yes	characteristic
79	C₂×#442	C₂²	1	1	yes	characteristic
80	C₂×#442	C₂²	1	1	yes	characteristic
81	C₂×#440	C₂²	1	1	yes	characteristic
82	C₂×#440	C₂²	1	1	yes	characteristic
83	C₂×#440	C₂²	1	1	yes	characteristic
84	C₂×#440	C₂²	1	1	yes	characteristic
85	C₂×#440	C₂²	1	1	yes	characteristic
86	C₂×C₄×Q₁₆	C₂²	1	1	yes	characteristic
87	C₂×C₄×SD₁₆	C₂²	1	1	yes	characteristic
88	C₂×C₄×D₈	C₂²	1	1	yes	characteristic
89	C₂×C₄×D₈	C₂²	1	1	yes	characteristic
90	#2868	C₂²	1	1	yes	characteristic
91	#2861	C₂²	1	1	yes	characteristic
92	#2730	—	2	2	no	—
93	#2681	—	2	2	no	—
94	#2677	—	2	2	no	—
95	#2677	—	2	2	no	—
96	#2660	C₂²	1	1	yes	characteristic
97	#2660	C₂²	1	1	yes	characteristic
98	#2641	C₂²	1	1	yes	characteristic
99	#2640	C₂²	1	1	yes	characteristic
100	#2567	C₂²	1	1	yes	characteristic
101	#2566	C₂²	1	1	yes	characteristic
102	#2565	C₂²	1	1	yes	characteristic
103	#2565	C₂²	1	1	yes	characteristic
104	#2565	C₂²	1	1	yes	characteristic
105	#2563	C₂²	1	1	yes	characteristic
106	#2544	C₂²	1	1	yes	characteristic
107	#2544	C₂²	1	1	yes	characteristic
108	#2542	C₂²	1	1	yes	characteristic
109	#2542	C₂²	1	1	yes	characteristic
110	#2542	C₂²	1	1	yes	characteristic
111	#2541	C₂²	1	1	yes	characteristic
112	#2463	—	2	2	no	—
113	#2443	—	2	2	no	—
114	#2440	—	2	2	no	—
115	#2423	—	2	2	no	—
116	#2328	C₂²	1	1	yes	characteristic
117	#2326	C₂²	1	1	yes	characteristic
118	#2326	C₂²	1	1	yes	characteristic
119	#2326	C₂²	1	1	yes	characteristic
120	C₄×#127	C₂²	1	1	yes	characteristic
121	C₄×#124	C₂²	1	1	yes	characteristic
122	#2295	C₂²	1	1	yes	characteristic
123	#2097	C₂²	1	1	yes	characteristic
124	#2097	C₂²	1	1	yes	characteristic
125	#2097	C₂²	1	1	yes	characteristic
126	#2096	C₂²	1	1	yes	characteristic
127	#2096	C₂²	1	1	yes	characteristic
128	#2096	C₂²	1	1	yes	characteristic
129	#2095	C₂²	1	1	yes	characteristic
130	#2095	C₂²	1	1	yes	characteristic
131	#2095	C₂²	1	1	yes	characteristic
132	#2095	C₂²	1	1	yes	characteristic
133	#2094	C₂²	1	1	yes	characteristic
134	#2094	C₂²	1	1	yes	characteristic
135	#2094	C₂²	1	1	yes	characteristic
136	#2093	C₂²	1	1	yes	characteristic
137	#2093	C₂²	1	1	yes	characteristic
138	#2093	C₂²	1	1	yes	characteristic
139	#2093	C₂²	1	1	yes	characteristic
140	#2093	C₂²	1	1	yes	characteristic
141	#2093	C₂²	1	1	yes	characteristic
142	#2093	C₂²	1	1	yes	characteristic
143	#2093	C₂²	1	1	yes	characteristic
144	#2093	C₂²	1	1	yes	characteristic
145	#2093	C₂²	1	1	yes	characteristic
146	#2092	C₂²	1	1	yes	characteristic
147	#2092	C₂²	1	1	yes	characteristic
148	#2092	C₂²	1	1	yes	characteristic
149	#2092	C₂²	1	1	yes	characteristic
150	#2092	C₂²	1	1	yes	characteristic
151	#2092	C₂²	1	1	yes	characteristic
152	#2092	C₂²	1	1	yes	characteristic
153	#2015	C₂²	1	1	yes	characteristic
154	#2015	C₂²	1	1	yes	characteristic
155	#2014	C₂²	1	1	yes	characteristic
156	#2014	C₂²	1	1	yes	characteristic
157	#2012	C₂²	1	1	yes	characteristic
158	#2012	C₂²	1	1	yes	characteristic
159	#2012	C₂²	1	1	yes	characteristic
160	#2012	C₂²	1	1	yes	characteristic
161	#2011	C₂²	1	1	yes	characteristic
162	#2011	C₂²	1	1	yes	characteristic
163	#1973	C₂²	1	1	yes	characteristic
164	#1973	C₂²	1	1	yes	characteristic
165	#1973	C₂²	1	1	yes	characteristic
166	#1972	C₂²	1	1	yes	characteristic
167	#1970	C₂²	1	1	yes	characteristic
168	#1970	C₂²	1	1	yes	characteristic
169	#1970	C₂²	1	1	yes	characteristic
170	#1969	C₂²	1	1	yes	characteristic
171	#1969	C₂²	1	1	yes	characteristic
172	#1968	C₂²	1	1	yes	characteristic
173	#1968	C₂²	1	1	yes	characteristic
174	#1968	C₂²	1	1	yes	characteristic
175	#1961	C₂²	1	1	yes	characteristic
176	#1959	C₂²	1	1	yes	characteristic
177	#1958	C₂²	1	1	yes	characteristic
178	#1957	C₂²	1	1	yes	characteristic
179	#1957	C₂²	1	1	yes	characteristic
180	#1957	C₂²	1	1	yes	characteristic
181	#1847	C₂²	1	1	yes	characteristic
182	#1847	C₂²	1	1	yes	characteristic
183	#1846	C₂²	1	1	yes	characteristic
184	#1845	C₂²	1	1	yes	characteristic
185	#1845	C₂²	1	1	yes	characteristic
186	#1845	C₂²	1	1	yes	characteristic
187	#1771	C₂²	1	1	yes	characteristic
188	#1771	C₂²	1	1	yes	characteristic
189	#1771	C₂²	1	1	yes	characteristic
190	#1771	C₂²	1	1	yes	characteristic
191	C₈×C₄⋊C₄	C₂²	1	1	yes	characteristic
192	C₈×C₄⋊C₄	C₂²	1	1	yes	characteristic
193	#1768	C₂²	1	1	yes	characteristic
194	#1768	C₂²	1	1	yes	characteristic
195	C₄×C₄⋊C₈	C₂²	1	1	yes	characteristic
196	#1746	C₂²	1	1	yes	characteristic
197	#1746	C₂²	1	1	yes	characteristic
198	#1745	C₂²	1	1	yes	characteristic
199	C₂²×Q₁₆	C₂³	1	1	yes	characteristic
200	C₂²×SD₁₆	C₂³	1	1	yes	characteristic
201	C₂²×SD₁₆	C₂³	1	1	yes	characteristic
202	C₂²×SD₁₆	C₂³	1	1	yes	characteristic
203	C₂²×SD₁₆	C₂³	1	1	yes	characteristic
204	C₂²×D₈	C₂³	1	1	yes	characteristic
205	C₂²×D₈	C₂³	1	1	yes	characteristic
206	C₂²×D₈	C₂³	1	1	yes	characteristic
207	#559	—	2	4	no	—
208	#559	—	2	4	no	—
209	Q₈²	—	2	4	no	—
210	Q₈²	—	2	4	no	—
211	#554	—	2	4	no	—
212	#554	—	2	4	no	—
213	#554	—	2	4	no	—
214	#554	—	2	4	no	—
215	C₂×C₄⋊Q₈	—	2	1	no	—
216	C₂×C₄⋊Q₈	—	2	1	no	—
217	C₂×C₄⋊Q₈	—	2	1	no	—
218	C₂×C₄⋊Q₈	—	2	2	no	—
219	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
220	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
221	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
222	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
223	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
224	C₂×#127	C₂³	1	1	yes	characteristic
225	C₂×#127	C₂³	1	1	yes	characteristic
226	C₂×#127	C₂³	1	1	yes	characteristic
227	C₂×#125	C₂³	1	1	yes	characteristic
228	C₂×#125	C₂³	1	1	yes	characteristic
229	C₂×#125	C₂³	1	1	yes	characteristic
230	C₂×#125	C₂³	1	1	yes	characteristic
231	C₂×#124	—	2	1	no	—
232	C₂×#124	C₂³	1	1	yes	characteristic
233	C₂×#124	C₂³	1	1	yes	characteristic
234	C₂×#124	C₂³	1	1	yes	characteristic
235	C₂×#124	C₂³	1	1	yes	characteristic
236	C₂×#123	—	2	1	no	—
237	C₂×#123	—	2	1	no	—
238	C₂×C₂²⋊Q₈	—	2	1	no	—
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	2	no	—
245	C₂×C₂²⋊Q₈	—	2	2	no	—
246	C₂×C₂²⋊Q₈	—	2	2	no	—
247	C₂×#121	—	2	2	no	—
248	C₂×C₄×Q₈	—	2	1	no	—
249	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
250	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
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×D₄	—	2	1	no	—
255	C₂×C₄×D₄	—	2	2	no	—
256	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
257	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
258	C₂×C₄×D₄	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	C₂²×C₄⋊C₄	—	2	1	no	—
265	C₂²×C₄⋊C₄	—	2	1	no	—
266	#501	—	2	4	no	—
267	#501	—	2	4	no	—
268	#501	—	2	4	no	—
269	#501	—	2	4	no	—
270	#500	—	2	4	no	—
271	#499	—	2	4	no	—
272	#490	—	2	4	no	—
273	#489	—	2	4	no	—
274	#489	—	2	4	no	—
275	#489	—	2	4	no	—
276	#488	—	2	4	no	—
277	#486	—	2	4	no	—
278	#479	—	2	4	no	—
279	#479	—	2	4	no	—
280	#479	—	2	4	no	—
281	#478	—	2	4	no	—
282	#478	—	2	4	no	—
283	#478	—	2	4	no	—
284	#478	—	2	4	no	—
285	#478	—	2	4	no	—
286	#477	—	2	4	no	—
287	#477	—	2	4	no	—
288	#476	—	2	4	no	—
289	#474	—	2	4	no	—
290	#474	—	2	4	no	—
291	#474	—	2	4	no	—
292	#474	—	2	4	no	—
293	#474	—	2	4	no	—
294	#474	—	2	4	no	—
295	#474	—	2	4	no	—
296	#464	—	2	4	no	—
297	#464	—	2	4	no	—
298	#463	—	2	4	no	—
299	#463	—	2	4	no	—
300	#460	—	2	4	no	—
301	#459	—	2	4	no	—
302	#446	D₄	1	8	yes	complemented
303	#446	D₄	1	8	yes	complemented
304	#442	—	2	4	no	—
305	#442	—	2	4	no	—
306	#442	—	2	4	no	—
307	#440	—	2	4	no	—
308	#440	—	2	4	no	—
309	#440	—	2	4	no	—
310	#440	—	2	4	no	—
311	#440	—	2	4	no	—
312	C₄×Q₁₆	—	2	4	no	—
313	C₄×SD₁₆	—	2	4	no	—
314	C₄×D₈	—	2	4	no	—
315	C₄×D₈	—	2	4	no	—
316	C₂×#107	C₂³	1	1	yes	characteristic
317	C₂×#107	C₂³	1	1	yes	characteristic
318	C₂×#107	C₂³	1	1	yes	characteristic
319	C₂×#107	C₂³	1	1	yes	characteristic
320	C₂×#107	C₂³	1	1	yes	characteristic
321	C₂×#107	C₂³	1	1	yes	characteristic
322	C₂×#107	C₂³	1	1	yes	characteristic
323	C₂×#107	C₂³	1	1	yes	characteristic
324	C₂×#107	C₂³	1	1	yes	characteristic
325	C₂×#107	C₂³	1	1	yes	characteristic
326	C₂×#107	C₂³	1	1	yes	characteristic
327	C₂×#107	C₂³	1	1	yes	characteristic
328	C₂×#107	C₂³	1	1	yes	characteristic
329	C₂×#107	C₂³	1	1	yes	characteristic
330	C₂×#107	C₂³	1	1	yes	characteristic
331	C₂×#107	C₂³	1	1	yes	characteristic
332	C₂×#106	C₂³	1	1	yes	characteristic
333	C₂×#106	C₂³	1	1	yes	characteristic
334	C₂×#106	C₂³	1	1	yes	characteristic
335	C₂×#106	C₂³	1	1	yes	characteristic
336	C₂×#106	C₂³	1	1	yes	characteristic
337	C₂×#106	C₂³	1	1	yes	characteristic
338	C₂×#106	C₂³	1	1	yes	characteristic
339	C₂×#106	C₂³	1	1	yes	characteristic
340	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
341	C₂×C₄⋊C₈	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	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
346	C₂×#103	C₂³	1	1	yes	characteristic
347	C₂×#103	C₂³	1	1	yes	characteristic
348	C₂×#103	C₂³	1	1	yes	characteristic
349	C₂×#103	C₂³	1	1	yes	characteristic
350	C₂×#103	C₂³	1	1	yes	characteristic
351	C₂×#103	C₂³	1	1	yes	characteristic
352	C₂×#103	C₂³	1	1	yes	characteristic
353	C₂×#103	C₂³	1	1	yes	characteristic
354	C₂×#103	C₂³	1	1	yes	characteristic
355	C₂×#103	C₂³	1	1	yes	characteristic
356	C₂×#102	C₂³	1	1	yes	characteristic
357	C₂×#102	C₂³	1	1	yes	characteristic
358	C₂×#102	C₂³	1	1	yes	characteristic
359	C₂×#102	C₂³	1	1	yes	characteristic
360	C₂×#102	C₂³	1	1	yes	characteristic
361	C₂×#102	C₂³	1	1	yes	characteristic
362	C₂×#102	C₂³	1	1	yes	characteristic
363	C₂×#102	C₂³	1	1	yes	characteristic
364	C₂×#102	C₂³	1	1	yes	characteristic
365	C₂×#102	C₂³	1	1	yes	characteristic
366	C₂×#102	C₂³	1	1	yes	characteristic
367	C₂×#102	C₂³	1	1	yes	characteristic
368	C₂×#102	C₂³	1	1	yes	characteristic
369	C₂×#102	C₂³	1	1	yes	characteristic
370	C₂×#102	C₂³	1	1	yes	characteristic
371	C₂×#102	C₂³	1	1	yes	characteristic
372	C₂×#102	C₂³	1	1	yes	characteristic
373	C₂×#102	C₂³	1	1	yes	characteristic
374	C₂×#102	C₂³	1	1	yes	characteristic
375	C₂×#102	C₂³	1	1	yes	characteristic
376	C₂×#102	C₂³	1	1	yes	characteristic
377	C₂×#102	C₂³	1	1	yes	characteristic
378	C₂×#97	C₂³	1	1	yes	characteristic
379	C₂×#97	C₂³	1	1	yes	characteristic
380	C₂×#97	C₂³	1	1	yes	characteristic
381	C₂×#97	C₂³	1	1	yes	characteristic
382	C₂×#97	C₂³	1	1	yes	characteristic
383	C₂×#97	C₂³	1	1	yes	characteristic
384	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
385	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
386	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
387	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
388	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
389	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
390	#399	—	2	2	no	—
391	#399	—	2	2	no	—
392	#399	—	2	2	no	—
393	#398	—	2	2	no	—
394	#398	—	2	2	no	—
395	#398	—	2	2	no	—
396	#398	—	2	2	no	—
397	#398	—	2	2	no	—
398	#397	—	2	2	no	—
399	#396	—	2	2	no	—
400	#395	—	2	2	no	—
401	#395	—	2	2	no	—
402	#395	—	2	2	no	—
403	#394	—	2	2	no	—
404	#394	—	2	2	no	—
405	#394	—	2	2	no	—
406	#394	—	2	2	no	—
407	#393	—	2	2	no	—
408	#393	—	2	2	no	—
409	#392	—	2	2	no	—
410	#391	D₄	1	2	yes	—
411	#391	C₂³	1	1	yes	characteristic
412	#391	C₂³	1	1	yes	characteristic
413	#391	C₂³	1	1	yes	characteristic
414	#391	C₂³	1	1	yes	characteristic
415	#391	C₂³	1	1	yes	characteristic
416	#391	C₂³	1	1	yes	characteristic
417	#390	—	2	2	no	—
418	#390	C₂³	1	1	yes	characteristic
419	#390	C₂³	1	1	yes	characteristic
420	#390	C₂³	1	1	yes	characteristic
421	#390	C₂³	1	1	yes	characteristic
422	#390	C₂³	1	1	yes	characteristic
423	#390	C₂³	1	1	yes	characteristic
424	#390	C₂³	1	1	yes	characteristic
425	#390	C₂³	1	1	yes	characteristic
426	#390	C₂³	1	1	yes	characteristic
427	#390	C₂³	1	1	yes	characteristic
428	#389	—	2	2	no	—
429	#389	D₄	1	2	yes	—
430	#388	—	2	2	no	—
431	#388	—	2	2	no	—
432	#388	—	2	2	no	—
433	#388	—	2	2	no	—
434	#388	—	2	2	no	—
435	#388	—	2	2	no	—
436	#387	—	2	2	no	—
437	#387	—	2	2	no	—
438	#387	—	2	2	no	—
439	#387	D₄	1	2	yes	—
440	#387	D₄	1	2	yes	—
441	#386	—	2	2	no	—
442	#386	—	2	2	no	—
443	#386	—	2	2	no	—
444	#386	—	2	2	no	—
445	#385	—	2	2	no	—
446	#385	—	2	2	no	—
447	#385	—	2	2	no	—
448	#385	—	2	2	no	—
449	#384	—	2	2	no	—
450	#384	C₂³	1	1	yes	characteristic
451	#384	C₂³	1	1	yes	characteristic
452	#384	C₂³	1	1	yes	characteristic
453	#384	C₂³	1	1	yes	characteristic
454	#384	C₂³	1	1	yes	characteristic
455	#384	C₂³	1	1	yes	characteristic
456	#384	C₂³	1	1	yes	characteristic
457	#384	C₂³	1	1	yes	characteristic
458	#382	C₂³	1	1	yes	characteristic
459	#382	C₂³	1	1	yes	characteristic
460	#382	C₂³	1	1	yes	characteristic
461	#382	C₂³	1	1	yes	characteristic
462	#380	—	2	2	no	—
463	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
464	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
465	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
466	C₄×C₂²⋊C₄	—	2	2	no	—
467	#376	C₂³	1	1	yes	characteristic
468	#376	C₂³	1	1	yes	characteristic
469	C₄³	C₂³	1	1	yes	characteristic
470	#336	C₂³	1	1	yes	characteristic
471	#336	C₂³	1	1	yes	characteristic
472	#336	C₂³	1	1	yes	characteristic
473	#336	C₂³	1	1	yes	characteristic
474	#336	C₂³	1	1	yes	characteristic
475	#336	C₂³	1	1	yes	characteristic
476	#336	C₂³	1	1	yes	characteristic
477	#336	C₂³	1	1	yes	characteristic
478	#336	C₂³	1	1	yes	characteristic
479	#336	C₂³	1	1	yes	characteristic
480	C₂²×Q₈	—	2	1	no	—
481	C₂²×Q₈	—	2	1	no	—
482	C₂²×Q₈	—	2	1	no	—
483	C₂²×Q₈	—	2	1	no	—
484	C₂²×Q₈	—	2	1	no	—
485	C₂²×Q₈	C₂×D₄	1	1	yes	characteristic
486	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
487	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
488	C₂²×D₄	—	2	2	no	—
489	C₂²×D₄	—	2	1	no	—
490	C₂²×D₄	—	2	1	no	—
491	C₂²×D₄	—	2	2	no	—
492	C₂²×D₄	C₂⁴	1	1	yes	characteristic
493	C₂²×D₄	C₂⁴	1	1	yes	characteristic
494	C₂²×D₄	C₂⁴	1	1	yes	characteristic
495	C₂²×D₄	C₂⁴	1	1	yes	characteristic
496	C₂³×C₄	—	2	1	no	—
497	C₂³×C₄	—	2	1	no	—
498	C₂³×C₄	—	2	1	no	—
499	C₂³×C₄	—	2	1	no	—
500	C₂³×C₄	—	2	1	no	—
501	C₂³×C₄	—	2	1	no	—
502	C₂³×C₄	—	2	1	no	—
503	C₂³×C₄	—	2	1	no	—
504	C₂×Q₁₆	—	2	2	no	—
505	C₂×Q₁₆	—	2	2	no	—
506	C₂×Q₁₆	—	4	1	no	—
507	C₂×SD₁₆	—	2	2	no	—
508	C₂×SD₁₆	—	2	2	no	—
509	C₂×SD₁₆	—	2	2	no	—
510	C₂×SD₁₆	—	2	2	no	—
511	C₂×SD₁₆	—	2	2	no	—
512	C₂×SD₁₆	—	2	2	no	—
513	C₂×SD₁₆	—	2	2	no	—
514	C₂×SD₁₆	—	2	2	no	—
515	C₂×SD₁₆	—	2	2	no	—
516	C₂×SD₁₆	—	4	1	no	—
517	C₂×SD₁₆	—	4	1	no	—
518	C₂×SD₁₆	—	4	1	no	—
519	C₂×D₈	—	2	2	no	—
520	C₂×D₈	—	2	2	no	—
521	C₂×D₈	—	2	2	no	—
522	C₂×D₈	—	2	2	no	—
523	C₂×D₈	—	2	2	no	—
524	C₂×D₈	—	2	2	no	—
525	C₂×D₈	—	2	2	no	—
526	C₂×D₈	—	4	1	no	—
527	C₂×D₈	—	4	1	no	—
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	C₂²×C₈	C₂⁴	1	1	yes	characteristic
534	C₂²×C₈	C₂⁴	1	1	yes	characteristic
535	C₂²×C₈	C₂⁴	1	1	yes	characteristic
536	C₄⋊Q₈	—	2	2	no	—
537	C₄⋊Q₈	—	2	2	no	—
538	C₄⋊Q₈	—	2	2	no	—
539	C₄⋊Q₈	—	2	2	no	—
540	C₄⋊Q₈	—	2	2	no	—
541	C₄⋊Q₈	—	2	2	no	—
542	C₄⋊Q₈	—	2	2	no	—
543	C₄⋊Q₈	—	2	2	no	—
544	C₄⋊Q₈	—	2	2	no	—
545	C₄⋊Q₈	—	2	2	no	—
546	C₄⋊Q₈	—	4	4	no	—
547	C₄⋊Q₈	—	4	4	no	—
548	C₄⋊Q₈	—	4	4	no	—
549	C₄⋊Q₈	—	8	4	no	—
550	#127	—	2	2	no	—
551	#127	—	2	2	no	—
552	#127	—	2	2	no	—
553	#127	—	2	2	no	—
554	#127	—	4	1	no	—
555	#127	—	4	1	no	—
556	#125	—	2	2	no	—
557	#125	—	2	2	no	—
558	#125	—	2	2	no	—
559	#125	—	2	2	no	—
560	#125	—	2	2	no	—
561	#125	—	2	2	no	—
562	#125	—	2	2	no	—
563	#125	—	2	2	no	—
564	#124	—	2	2	no	—
565	#124	—	2	2	no	—
566	#124	—	2	2	no	—
567	#124	—	2	2	no	—
568	#124	—	2	2	no	—
569	#124	—	2	2	no	—
570	#124	—	2	2	no	—
571	#124	—	4	1	no	—
572	#124	—	4	4	no	—
573	#123	—	4	4	no	—
574	#123	—	4	4	no	—
575	C₂²⋊Q₈	—	4	4	no	—
576	C₂²⋊Q₈	—	4	4	no	—
577	C₂²⋊Q₈	—	4	4	no	—
578	C₂²⋊Q₈	—	4	4	no	—
579	C₂²⋊Q₈	—	4	4	no	—
580	C₂²⋊Q₈	—	4	4	no	—
581	C₂²⋊Q₈	—	8	4	no	—
582	C₂²⋊Q₈	—	8	4	no	—
583	C₂²⋊Q₈	—	8	4	no	—
584	#121	—	8	4	no	—
585	C₄×Q₈	—	2	2	no	—
586	C₄×Q₈	—	2	2	no	—
587	C₄×Q₈	—	2	2	no	—
588	C₄×Q₈	—	2	2	no	—
589	C₄×Q₈	—	2	2	no	—
590	C₄×Q₈	—	2	2	no	—
591	C₄×Q₈	—	2	2	no	—
592	C₄×Q₈	—	2	2	no	—
593	C₄×Q₈	—	4	4	no	—
594	C₄×Q₈	C₂×D₄	1	4	yes	—
595	C₄×Q₈	C₂×D₄	1	4	yes	—
596	C₄×D₄	—	2	2	no	—
597	C₄×D₄	—	2	2	no	—
598	C₄×D₄	—	2	2	no	—
599	C₄×D₄	—	2	2	no	—
600	C₄×D₄	—	2	2	no	—
601	C₄×D₄	—	2	2	no	—
602	C₄×D₄	—	2	2	no	—
603	C₄×D₄	—	2	2	no	—
604	C₄×D₄	—	2	2	no	—
605	C₄×D₄	—	2	2	no	—
606	C₄×D₄	—	2	2	no	—
607	C₄×D₄	—	2	2	no	—
608	C₄×D₄	—	2	2	no	—
609	C₄×D₄	—	2	2	no	—
610	C₄×D₄	—	2	2	no	—
611	C₄×D₄	—	2	2	no	—
612	C₄×D₄	—	4	4	no	—
613	C₄×D₄	—	8	4	no	—
614	C₂×C₄⋊C₄	—	2	1	no	—
615	C₂×C₄⋊C₄	—	2	1	no	—
616	C₂×C₄⋊C₄	—	2	1	no	—
617	C₂×C₄⋊C₄	—	2	1	no	—
618	C₂×C₄⋊C₄	—	2	1	no	—
619	C₂×C₄⋊C₄	—	2	1	no	—
620	C₂×C₄⋊C₄	—	2	2	no	—
621	C₂×C₄⋊C₄	—	2	1	no	—
622	C₂×C₄⋊C₄	—	2	1	no	—
623	C₂×C₄⋊C₄	—	2	1	no	—
624	C₂×C₄⋊C₄	—	2	1	no	—
625	C₂×C₄⋊C₄	—	2	1	no	—
626	C₂×C₄⋊C₄	—	2	1	no	—
627	C₂×C₄⋊C₄	—	2	1	no	—
628	C₂×C₄⋊C₄	—	2	1	no	—
629	C₂×C₄⋊C₄	—	2	1	no	—
630	C₂×C₄⋊C₄	—	2	1	no	—
631	C₂×C₄⋊C₄	—	2	1	no	—
632	C₂×C₄⋊C₄	—	2	2	no	—
633	C₂×C₄⋊C₄	—	2	2	no	—
634	C₂×C₄⋊C₄	—	2	2	no	—
635	C₂×C₄⋊C₄	—	2	2	no	—
636	C₂×C₄⋊C₄	—	2	2	no	—
637	C₂×C₄⋊C₄	—	2	2	no	—
638	C₂×C₄⋊C₄	—	2	2	no	—
639	C₂×C₄⋊C₄	—	4	4	no	—
640	C₂×C₄⋊C₄	—	4	4	no	—
641	C₂×C₄⋊C₄	C₂×D₄	1	2	yes	—
642	C₂×C₄⋊C₄	C₂×D₄	1	2	yes	—
643	C₂×C₄⋊C₄	C₂×D₄	1	2	yes	—
644	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
645	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
646	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
647	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
648	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
649	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
650	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
651	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
652	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
653	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
654	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
655	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
656	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
657	C₂×C₂²⋊C₄	—	2	2	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	2	no	—
669	C₂×C₂²⋊C₄	—	2	2	no	—
670	C₂×C₂²⋊C₄	—	2	1	no	—
671	C₂×C₂²⋊C₄	—	2	1	no	—
672	C₂×C₂²⋊C₄	—	2	2	no	—
673	C₂×C₂²⋊C₄	—	2	2	no	—
674	C₂×C₂²⋊C₄	—	2	2	no	—
675	C₂×C₂²⋊C₄	—	2	2	no	—
676	C₂×C₂²⋊C₄	—	2	2	no	—
677	C₂×C₂²⋊C₄	—	2	2	no	—
678	C₂×C₂²⋊C₄	—	2	2	no	—
679	C₂×C₂²⋊C₄	—	2	2	no	—
680	C₂×C₂²⋊C₄	—	2	2	no	—
681	C₂×C₄²	—	2	1	no	—
682	C₂×C₄²	—	2	1	no	—
683	C₂×C₄²	—	2	1	no	—
684	C₂×C₄²	—	2	1	no	—
685	C₂×C₄²	C₂×D₄	1	2	yes	—
686	C₂×C₄²	C₂×D₄	1	2	yes	—
687	C₂×C₄²	C₂⁴	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	#107	—	2	2	no	—
695	#107	—	2	2	no	—
696	#107	—	2	2	no	—
697	#107	—	2	2	no	—
698	#107	—	2	2	no	—
699	#107	—	2	2	no	—
700	#107	—	2	2	no	—
701	#107	—	2	2	no	—
702	#107	—	2	2	no	—
703	#107	—	2	2	no	—
704	#107	—	2	2	no	—
705	#107	—	2	2	no	—
706	#107	—	2	2	no	—
707	#107	—	2	2	no	—
708	#107	—	2	2	no	—
709	#107	—	2	2	no	—
710	#106	—	2	2	no	—
711	#106	—	2	2	no	—
712	#106	—	2	2	no	—
713	#106	—	2	2	no	—
714	#106	—	2	2	no	—
715	#106	—	2	2	no	—
716	#106	—	2	2	no	—
717	#106	—	2	2	no	—
718	C₄⋊C₈	C₂×D₄	1	4	yes	—
719	C₄⋊C₈	C₂×D₄	1	4	yes	—
720	C₄⋊C₈	C₂×D₄	1	4	yes	—
721	C₄⋊C₈	C₂×D₄	1	4	yes	—
722	C₄⋊C₈	C₂×D₄	1	4	yes	—
723	C₄⋊C₈	C₂×D₄	1	4	yes	—
724	#103	—	2	2	no	—
725	#103	—	2	2	no	—
726	#103	—	2	2	no	—
727	#103	—	2	2	no	—
728	#103	—	2	2	no	—
729	#103	—	2	2	no	—
730	#103	—	2	2	no	—
731	#103	—	2	2	no	—
732	#103	—	2	2	no	—
733	#103	—	2	2	no	—
734	#102	—	2	2	no	—
735	#102	—	2	2	no	—
736	#102	—	2	2	no	—
737	#102	—	2	2	no	—
738	#102	—	2	2	no	—
739	#102	—	2	2	no	—
740	#102	—	2	2	no	—
741	#102	—	2	2	no	—
742	#102	—	2	2	no	—
743	#102	—	2	2	no	—
744	#102	—	2	2	no	—
745	#102	—	2	2	no	—
746	#102	—	2	2	no	—
747	#102	—	2	2	no	—
748	#102	—	2	2	no	—
749	#102	—	2	2	no	—
750	#102	—	2	2	no	—
751	#102	—	2	2	no	—
752	#102	—	2	2	no	—
753	#102	—	2	2	no	—
754	#102	—	2	2	no	—
755	#102	—	2	2	no	—
756	#97	—	4	1	no	—
757	#97	—	4	1	no	—
758	#97	C₂×D₄	1	4	yes	—
759	#97	C₂×D₄	1	4	yes	—
760	#97	C₂×D₄	1	4	yes	—
761	#97	C₂×D₄	1	4	yes	—
762	C₄×C₈	—	4	1	no	—
763	C₄×C₈	—	4	1	no	—
764	C₄×C₈	—	4	1	no	—
765	C₄×C₈	—	4	1	no	—
766	C₄×C₈	C₂×D₄	1	4	yes	—
767	C₄×C₈	C₂×D₄	1	4	yes	—
768	#95	—	2	2	no	—
769	#95	—	2	2	no	—
770	#95	—	2	2	no	—
771	#95	—	2	2	no	—
772	#95	—	2	2	no	—
773	#95	—	2	2	no	—
774	#95	—	2	2	no	—
775	#95	—	2	2	no	—
776	#95	—	2	2	no	—
777	#95	—	2	2	no	—
778	#95	C₂×D₄	1	2	yes	—
779	#95	C₂×D₄	1	2	yes	—
780	#95	C₂×D₄	1	2	yes	—
781	#95	C₂×D₄	1	2	yes	—
782	#95	C₂×D₄	1	2	yes	—
783	#95	C₂×D₄	1	2	yes	—
784	#95	C₂×D₄	1	2	yes	—
785	C₂⁴	—	2	1	no	—
786	C₂⁴	—	2	1	no	—
787	C₂⁴	—	2	1	no	—
788	C₂⁴	—	2	1	no	—
789	C₂×Q₈	—	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	—	4	2	no	—
801	C₂×Q₈	—	4	2	no	—
802	C₂×Q₈	—	4	2	no	—
803	C₂×Q₈	—	4	2	no	—
804	C₂×Q₈	—	4	2	no	—
805	C₂×Q₈	—	4	2	no	—
806	C₂×Q₈	—	8	2	no	—
807	C₂×Q₈	—	8	2	no	—
808	C₂×Q₈	—	8	2	no	—
809	C₂×Q₈	—	8	2	no	—
810	C₂×Q₈	—	8	2	no	—
811	C₂×Q₈	#127	1	4	yes	—
812	C₂×Q₈	2₋¹⁺⁴	1	2	yes	—
813	C₂×D₄	—	2	1	no	—
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	—	2	1	no	—
832	C₂×D₄	—	2	1	no	—
833	C₂×D₄	—	2	1	no	—
834	C₂×D₄	—	2	1	no	—
835	C₂×D₄	—	4	4	no	—
836	C₂×D₄	—	4	4	no	—
837	C₂×D₄	—	4	2	no	—
838	C₂×D₄	—	4	2	no	—
839	C₂×D₄	—	4	4	no	—
840	C₂×D₄	—	8	2	no	—
841	C₂×D₄	—	8	2	no	—
842	C₂×D₄	—	8	2	no	—
843	C₂×D₄	—	8	2	no	—
844	C₂×D₄	—	8	2	no	—
845	C₂×D₄	2₋¹⁺⁴	1	2	yes	—
846	C₂×D₄	2₋¹⁺⁴	1	2	yes	—
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	—	2	1	no	—
853	C₂²×C₄	—	2	1	no	—
854	C₂²×C₄	—	2	1	no	—
855	C₂²×C₄	—	2	1	no	—
856	C₂²×C₄	—	2	1	no	—
857	C₂²×C₄	—	2	1	no	—
858	C₂²×C₄	—	2	1	no	—
859	C₂²×C₄	—	4	4	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	—	4	2	no	—
865	C₂²×C₄	—	4	2	no	—
866	C₂²×C₄	—	4	2	no	—
867	C₂²×C₄	—	4	2	no	—
868	C₂²×C₄	—	8	2	no	—
869	C₂²×C₄	—	8	2	no	—
870	C₂²×C₄	—	8	2	no	—
871	C₂²×C₄	—	8	2	no	—
872	C₂²×C₄	—	8	2	no	—
873	C₂²×C₄	—	8	2	no	—
874	C₂²×C₄	—	8	2	no	—
875	C₂²×C₄	C₂²×D₄	1	2	yes	—
876	C₂²×C₄	C₂²×D₄	1	2	yes	—
877	C₂²×C₄	C₂²×D₄	1	2	yes	—
878	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
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	2	yes	—
885	C₂²×C₄	C₂⁵	1	1	yes	characteristic
886	Q₁₆	—	4	4	no	—
887	SD₁₆	—	2	8	no	—
888	SD₁₆	—	4	4	no	—
889	SD₁₆	—	4	4	no	—
890	SD₁₆	—	4	4	no	—
891	D₈	—	2	8	no	—
892	D₈	—	4	4	no	—
893	D₈	—	4	4	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	C₂²×D₄	1	2	yes	—
911	C₂×C₈	C₂²×D₄	1	2	yes	—
912	C₂×C₈	C₂²×D₄	1	2	yes	—
913	C₂×C₈	C₂²×D₄	1	2	yes	—
914	C₂×C₈	C₂²×D₄	1	2	yes	—
915	C₂×C₈	C₂²×D₄	1	2	yes	—
916	C₂×C₈	C₂²×D₄	1	2	yes	—
917	C₂×C₈	C₂²×D₄	1	2	yes	—
918	C₄⋊C₄	—	2	4	no	—
919	C₄⋊C₄	—	2	4	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	—	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	—	4	2	no	—
941	C₄⋊C₄	—	4	2	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	—	4	2	no	—
950	C₄⋊C₄	—	4	2	no	—
951	C₄⋊C₄	—	4	2	no	—
952	C₄⋊C₄	—	4	2	no	—
953	C₄⋊C₄	—	4	2	no	—
954	C₄⋊C₄	—	4	2	no	—
955	C₄⋊C₄	—	4	2	no	—
956	C₄⋊C₄	—	4	2	no	—
957	C₄⋊C₄	—	4	2	no	—
958	C₄⋊C₄	—	4	4	no	—
959	C₄⋊C₄	—	4	4	no	—
960	C₄⋊C₄	—	4	4	no	—
961	C₄⋊C₄	—	8	2	no	—
962	C₄⋊C₄	—	8	2	no	—
963	C₄⋊C₄	—	8	2	no	—
964	C₄⋊C₄	—	8	2	no	—
965	C₄⋊C₄	—	8	2	no	—
966	C₄⋊C₄	#127	1	4	yes	—
967	C₄⋊C₄	#127	1	4	yes	—
968	C₄⋊C₄	#127	1	4	yes	—
969	C₂²⋊C₄	—	2	8	no	—
970	C₂²⋊C₄	—	4	4	no	—
971	C₂²⋊C₄	—	4	2	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	—	4	2	no	—
979	C₂²⋊C₄	—	4	2	no	—
980	C₂²⋊C₄	—	4	2	no	—
981	C₂²⋊C₄	—	4	2	no	—
982	C₂²⋊C₄	—	4	2	no	—
983	C₂²⋊C₄	—	4	4	no	—
984	C₂²⋊C₄	—	4	4	no	—
985	C₂²⋊C₄	—	8	2	no	—
986	C₂²⋊C₄	—	8	2	no	—
987	C₂²⋊C₄	—	8	2	no	—
988	C₂²⋊C₄	—	8	2	no	—
989	C₂²⋊C₄	—	8	2	no	—
990	C₂²⋊C₄	—	8	2	no	—
991	C₂²⋊C₄	—	8	2	no	—
992	C₂²⋊C₄	—	8	2	no	—
993	C₄²	—	2	4	no	—
994	C₄²	—	2	1	no	—
995	C₄²	—	2	1	no	—
996	C₄²	—	2	1	no	—
997	C₄²	—	2	1	no	—
998	C₄²	—	2	1	no	—
999	C₄²	—	2	1	no	—
1000	C₄²	—	2	1	no	—
1001	C₄²	—	2	1	no	—
1002	C₄²	—	4	2	no	—
1003	C₄²	—	4	2	no	—
1004	C₄²	—	4	2	no	—
1005	C₄²	—	4	2	no	—
1006	C₄²	—	4	2	no	—
1007	C₄²	C₂²×D₄	1	2	yes	—
1008	C₄²	C₂²×D₄	1	2	yes	—
1009	C₄²	C₂²×D₄	1	2	yes	—
1010	C₄²	C₂²×D₄	1	2	yes	—
1011	C₄²	C₂²×D₄	1	2	yes	—
1012	C₄²	C₂²×D₄	1	2	yes	—
1013	C₂³	—	2	2	no	—
1014	C₂³	—	2	2	no	—
1015	C₂³	—	4	2	no	—
1016	C₂³	—	4	2	no	—
1017	C₂³	—	4	1	no	—
1018	C₂³	—	4	1	no	—
1019	C₂³	—	4	1	no	—
1020	C₂³	—	4	1	no	—
1021	C₂³	—	4	2	no	—
1022	C₂³	—	4	2	no	—
1023	C₂³	—	4	2	no	—
1024	C₂³	—	4	2	no	—
1025	C₂³	—	4	1	no	—
1026	C₂³	—	4	1	no	—
1027	C₂³	—	4	1	no	—
1028	C₂³	—	4	1	no	—
1029	C₂³	—	4	1	no	—
1030	C₂³	—	4	1	no	—
1031	C₂³	—	4	2	no	—
1032	C₂³	—	4	2	no	—
1033	C₂³	C₂³×D₄	1	1	yes	characteristic
1034	Q₈	—	2	2	no	—
1035	Q₈	—	2	2	no	—
1036	Q₈	—	4	4	no	—
1037	Q₈	—	4	1	no	—
1038	Q₈	—	4	1	no	—
1039	Q₈	—	4	1	no	—
1040	Q₈	—	4	1	no	—
1041	Q₈	—	4	1	no	—
1042	Q₈	—	4	1	no	—
1043	Q₈	—	16	2	no	—
1044	Q₈	—	16	2	no	—
1045	Q₈	—	16	2	no	—
1046	Q₈	—	16	2	no	—
1047	Q₈	—	16	2	no	—
1048	D₄	—	2	2	no	—
1049	D₄	—	2	2	no	—
1050	D₄	—	2	2	no	—
1051	D₄	—	2	2	no	—
1052	D₄	—	4	1	no	—
1053	D₄	—	4	1	no	—
1054	D₄	—	4	1	no	—
1055	D₄	—	4	1	no	—
1056	D₄	—	4	1	no	—
1057	D₄	—	4	1	no	—
1058	D₄	—	4	1	no	—
1059	D₄	—	4	1	no	—
1060	D₄	—	4	1	no	—
1061	D₄	—	4	1	no	—
1062	D₄	—	4	1	no	—
1063	D₄	—	4	1	no	—
1064	D₄	—	8	8	no	—
1065	D₄	—	8	4	no	—
1066	D₄	—	16	2	no	—
1067	D₄	—	16	4	no	—
1068	C₂×C₄	—	2	2	no	—
1069	C₂×C₄	—	2	2	no	—
1070	C₂×C₄	—	2	2	no	—
1071	C₂×C₄	—	2	2	no	—
1072	C₂×C₄	—	2	2	no	—
1073	C₂×C₄	—	2	2	no	—
1074	C₂×C₄	—	2	2	no	—
1075	C₂×C₄	—	2	2	no	—
1076	C₂×C₄	—	2	2	no	—
1077	C₂×C₄	—	2	2	no	—
1078	C₂×C₄	—	2	2	no	—
1079	C₂×C₄	—	2	2	no	—
1080	C₂×C₄	—	2	2	no	—
1081	C₂×C₄	—	2	2	no	—
1082	C₂×C₄	—	2	2	no	—
1083	C₂×C₄	—	2	2	no	—
1084	C₂×C₄	—	2	2	no	—
1085	C₂×C₄	—	2	2	no	—
1086	C₂×C₄	—	4	1	no	—
1087	C₂×C₄	—	4	1	no	—
1088	C₂×C₄	—	4	2	no	—
1089	C₂×C₄	—	4	2	no	—
1090	C₂×C₄	—	4	1	no	—
1091	C₂×C₄	—	4	1	no	—
1092	C₂×C₄	—	4	1	no	—
1093	C₂×C₄	—	4	1	no	—
1094	C₂×C₄	—	4	1	no	—
1095	C₂×C₄	—	4	1	no	—
1096	C₂×C₄	—	4	1	no	—
1097	C₂×C₄	—	4	1	no	—
1098	C₂×C₄	—	4	1	no	—
1099	C₂×C₄	—	4	1	no	—
1100	C₂×C₄	—	4	1	no	—
1101	C₂×C₄	—	4	1	no	—
1102	C₂×C₄	—	4	1	no	—
1103	C₂×C₄	—	4	2	no	—
1104	C₂×C₄	—	4	2	no	—
1105	C₂×C₄	—	4	2	no	—
1106	C₂×C₄	—	4	2	no	—
1107	C₂×C₄	—	4	2	no	—
1108	C₂×C₄	—	4	2	no	—
1109	C₂×C₄	—	4	2	no	—
1110	C₂×C₄	—	4	2	no	—
1111	C₂×C₄	—	8	4	no	—
1112	C₂×C₄	—	8	4	no	—
1113	C₂×C₄	—	16	2	no	—
1114	C₂×C₄	—	16	2	no	—
1115	C₂×C₄	—	16	2	no	—
1116	C₂×C₄	—	16	2	no	—
1117	C₂×C₄	—	16	2	no	—
1118	C₂×C₄	—	16	2	no	—
1119	C₂×C₄	C₂×#127	1	2	yes	—
1120	C₂×C₄	C₂×#127	1	2	yes	—
1121	C₂×C₄	C₂×#127	1	2	yes	—
1122	C₂×C₄	C₂×#127	1	2	yes	—
1123	C₂×C₄	C₂×#127	1	2	yes	—
1124	C₂×C₄	C₂×#127	1	2	yes	—
1125	C₂×C₄	#576	1	4	yes	—
1126	C₂×C₄	C₂³×D₄	1	1	yes	characteristic
1127	C₂×C₄	C₂³×D₄	1	1	yes	characteristic
1128	C₂×C₄	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1129	C₂×C₄	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1130	C₂×C₄	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1131	C₂×C₄	#585	1	1	yes	characteristic
1132	C₈	—	2	2	no	—
1133	C₈	—	2	2	no	—
1134	C₈	—	2	2	no	—
1135	C₈	—	2	2	no	—
1136	C₈	—	2	2	no	—
1137	C₈	—	2	2	no	—
1138	C₈	—	2	2	no	—
1139	C₈	—	2	2	no	—
1140	C₂²	—	4	2	no	—
1141	C₂²	—	4	2	no	—
1142	C₂²	—	4	4	no	—
1143	C₂²	—	4	4	no	—
1144	C₂²	—	8	2	no	—
1145	C₂²	—	8	2	no	—
1146	C₂²	—	8	1	no	—
1147	C₂²	—	8	1	no	—
1148	C₂²	—	8	1	no	—
1149	C₂²	—	8	1	no	—
1150	C₂²	—	8	1	no	—
1151	C₂²	—	8	1	no	—
1152	C₂²	—	8	2	no	—
1153	C₂²	—	8	2	no	—
1154	C₂²	—	8	2	no	—
1155	C₂²	—	8	2	no	—
1156	C₂²	—	8	1	no	—
1157	C₂²	—	8	1	no	—
1158	C₂²	—	8	1	no	—
1159	C₂²	—	8	1	no	—
1160	C₂²	C₂²×#127	1	1	yes	characteristic
1161	C₂²	#3486	1	1	yes	characteristic
1162	C₂²	#3489	1	1	yes	characteristic
1163	C₂²	C₂×#576	1	2	yes	—
1164	C₂²	#3586	1	2	yes	—
1165	C₄	—	2	4	no	—
1166	C₄	—	2	2	no	—
1167	C₄	—	2	2	no	—
1168	C₄	—	2	2	no	—
1169	C₄	—	2	2	no	—
1170	C₄	—	2	2	no	—
1171	C₄	—	2	2	no	—
1172	C₄	—	4	2	no	—
1173	C₄	—	4	2	no	—
1174	C₄	—	4	2	no	—
1175	C₄	—	4	2	no	—
1176	C₄	—	8	1	no	—
1177	C₄	—	8	1	no	—
1178	C₄	—	8	1	no	—
1179	C₄	—	8	1	no	—
1180	C₄	—	8	1	no	—
1181	C₄	—	8	1	no	—
1182	C₄	—	8	1	no	—
1183	C₄	—	8	1	no	—
1184	C₄	—	8	1	no	—
1185	C₄	—	8	1	no	—
1186	C₄	—	8	1	no	—
1187	C₄	#3486	1	1	yes	characteristic
1188	C₄	#3486	1	1	yes	characteristic
1189	C₄	#3489	1	1	yes	characteristic
1190	C₄	#3489	1	1	yes	characteristic
1191	C₂	—	8	2	no	—
1192	C₂	—	8	2	no	—
1193	C₂	—	16	1	no	—
1194	C₂	—	16	1	no	—
1195	C₂	#35927	1	1	yes	characteristic
1196	C₂	#60645	1	1	yes	characteristic
1197	C₂	#60647	1	1	yes	characteristic
1198	C₂	#61857	1	2	yes	—
1199	C₂	#62155	1	2	yes	—

	subgroup	G/H
center, socle	C₂³	C₂³×D₄
commutator, Frattini, cosocle	C₂²×C₄	C₂⁵
prime radical	#28397	C₂
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. C₂×#3389	C₂	semidirect
2. C₂×#3385	C₂	semidirect
3. C₂×#3370	C₂	semidirect
4. C₂×#3375	C₂	semidirect
5. #39617	C₂	semidirect
6. #39161	C₂	semidirect
7. #30289	C₂	semidirect
8. #30287	C₂	semidirect
9. #30285	C₂	semidirect
10. #28545	C₂	semidirect
11. #28545	C₂	semidirect
12. #28544	C₂	semidirect
13. #28543	C₂	semidirect
14. #28535	C₂	semidirect
15. #28527	C₂	semidirect
16. #28525	C₂	semidirect
17. #28523	C₂	semidirect
18. #28508	C₂	semidirect
19. #28435	C₂	semidirect
20. #28430	C₂	semidirect
21. #28428	C₂	semidirect
22. #28422	C₂	semidirect
23. #28408	C₂	semidirect
25. #28394	C₂	semidirect
26. #28389	C₂	semidirect
27. #28376	C₂	semidirect
28. #23812	C₂	semidirect
29. #23808	C₂	semidirect
30. #23806	C₂	semidirect
31. #20575	C₂	semidirect
302. #446	D₄	semidirect
303. #446	D₄	semidirect

Maximal subgroups

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

subgroup	index
C₂×#3389	2
C₂×#3385	2
C₂×#3370	2
C₂×#3375	2
#39617	2
#39161	2
#30289	2
#30287	2
#30285	2
#28545	2
#28544	2
#28543	2
#28535	2
#28527	2
#28525	2
#28523	2
#28508	2
#28435	2
#28430	2
#28428	2
#28422	2
#28408	2
#28397	2
#28394	2
#28389	2
#28376	2
#23812	2
#23808	2
#23806	2
#20575	2