Subgroups — #6469695

Order 512.

1591 conjugacy classes of subgroups.

The subgroup lattice has 1218 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#34227	C₂	1	1	yes	maximal, characteristic
2	C₄×#541	C₂	1	1	yes	maximal, characteristic, complemented
3	#29550	C₂	1	1	yes	maximal, characteristic, complemented
4	#29549	C₂	1	1	yes	maximal, characteristic, complemented
5	#29547	C₂	1	1	yes	maximal, characteristic, complemented
6	#29544	C₂	1	1	yes	maximal, characteristic, complemented
7	#29291	C₂	1	1	yes	maximal, characteristic, complemented
8	#28287	C₂	1	1	yes	maximal, characteristic, complemented
9	#28285	C₂	1	1	yes	maximal, characteristic, complemented
10	#28254	C₂	1	1	yes	maximal, characteristic, complemented
11	#27639	C₂	1	1	yes	maximal, characteristic, complemented
12	#27637	C₂	1	1	yes	maximal, characteristic
13	#27634	C₂	1	1	yes	maximal, characteristic, complemented
14	#27634	C₂	1	1	yes	maximal, characteristic, complemented
15	#24165	C₂	1	1	yes	maximal, characteristic, complemented
16	#24163	C₂	1	1	yes	maximal, characteristic
17	#24161	C₂	1	1	yes	maximal, characteristic
18	#24161	C₂	1	1	yes	maximal, characteristic
19	#23714	C₂	1	1	yes	maximal, characteristic
20	#23713	C₂	1	1	yes	maximal, characteristic, complemented
21	#23707	C₂	1	1	yes	maximal, characteristic
22	#23705	C₂	1	1	yes	maximal, characteristic, complemented
23	#21622	C₂	1	1	yes	maximal, characteristic, complemented
24	#21620	C₂	1	1	yes	maximal, characteristic, complemented
25	#21618	C₂	1	1	yes	maximal, characteristic, complemented
26	C₄×#479	C₂	1	1	yes	maximal, characteristic, complemented
27	#21516	C₂	1	1	yes	maximal, characteristic, complemented
28	#21514	C₂	1	1	yes	maximal, characteristic, complemented
29	#21508	C₂	1	1	yes	maximal, characteristic, complemented
30	C₄×#464	C₂	1	1	yes	maximal, characteristic, complemented
31	#20812	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#541	C₂²	1	1	yes	characteristic
33	C₂×#529	C₂²	1	1	yes	characteristic
34	C₂×#479	C₂²	1	1	yes	characteristic
35	C₂×#479	C₂²	1	1	yes	characteristic
36	C₂×#479	C₂²	1	1	yes	characteristic
37	C₂×#478	C₂²	1	1	yes	characteristic
38	C₂×#464	C₂²	1	1	yes	characteristic
39	C₂×#464	C₂²	1	1	yes	characteristic
40	C₂×#462	C₂²	1	1	yes	characteristic
41	C₂×#461	C₂²	1	1	yes	characteristic
42	C₂×#441	C₂²	1	1	yes	characteristic
43	C₂×#440	C₂²	1	1	yes	characteristic
44	C₂×C₄×Q₁₆	C₂²	1	1	yes	characteristic
45	C₂×C₄×SD₁₆	C₂²	1	1	yes	characteristic
46	C₂×#433	C₂²	1	1	yes	characteristic
47	C₂×#433	C₂²	1	1	yes	characteristic
48	#2374	—	2	1	no	—
49	#2374	—	2	1	no	—
50	#2373	—	2	1	no	—
51	#2373	—	2	1	no	—
52	#2357	—	2	1	no	—
53	#2353	—	2	1	no	—
54	#2347	—	2	1	no	—
55	#2343	—	2	1	no	—
56	#2336	—	2	1	no	—
57	#2336	—	2	1	no	—
58	#2334	—	2	1	no	—
59	#2334	—	2	1	no	—
60	#2330	C₂²	1	1	yes	characteristic
61	#2327	C₂²	1	1	yes	characteristic
62	#2324	C₂²	1	1	yes	characteristic
63	#2324	C₂²	1	1	yes	characteristic
64	#2323	C₂²	1	1	yes	characteristic
65	#2323	C₂²	1	1	yes	characteristic
66	#2323	C₂²	1	1	yes	characteristic
67	#2323	C₂²	1	1	yes	characteristic
68	#2320	C₂²	1	1	yes	characteristic
69	#2320	C₂²	1	1	yes	characteristic
70	#2320	C₂²	1	1	yes	characteristic
71	#2319	C₂²	1	1	yes	characteristic
72	#2314	C₂²	1	1	yes	characteristic
73	C₄×C₄⋊Q₈	C₂²	1	1	yes	characteristic
74	C₄×#125	—	2	1	no	—
75	C₄×#125	—	2	1	no	—
76	C₄×#125	C₂²	1	1	yes	characteristic
77	C₄×#125	C₂²	1	1	yes	characteristic
78	C₄×#125	C₂²	1	1	yes	characteristic
79	C₄×#126	—	2	1	no	—
80	C₄×#126	—	2	1	no	—
81	C₄×#124	C₂²	1	1	yes	characteristic
82	C₄×#124	C₂²	1	1	yes	characteristic
83	C₄×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
84	C₄×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
85	#2283	C₂²	1	1	yes	characteristic
86	#2276	C₂²	1	1	yes	characteristic
87	#2275	C₂²	1	1	yes	characteristic
88	C₄²×Q₈	C₂²	1	1	yes	characteristic
89	C₄²×Q₈	C₂²	1	1	yes	characteristic
90	C₄×#117	C₂²	1	1	yes	characteristic
91	#2088	C₂²	1	1	yes	characteristic
92	#2088	C₂²	1	1	yes	characteristic
93	#2087	C₂²	1	1	yes	characteristic
94	#2086	C₂²	1	1	yes	characteristic
95	#2077	C₂²	1	1	yes	characteristic
96	#2077	C₂²	1	1	yes	characteristic
97	#2075	C₂²	1	1	yes	characteristic
98	#2075	C₂²	1	1	yes	characteristic
99	#2068	C₂²	1	1	yes	characteristic
100	#2068	C₂²	1	1	yes	characteristic
101	#2068	C₂²	1	1	yes	characteristic
102	#2067	C₂²	1	1	yes	characteristic
103	#2066	C₂²	1	1	yes	characteristic
104	#2066	C₂²	1	1	yes	characteristic
105	#2066	C₂²	1	1	yes	characteristic
106	#2065	C₂²	1	1	yes	characteristic
107	#2056	C₂²	1	1	yes	characteristic
108	#2056	C₂²	1	1	yes	characteristic
109	#2055	C₂²	1	1	yes	characteristic
110	#2055	C₂²	1	1	yes	characteristic
111	#2036	C₂²	1	1	yes	characteristic
112	#2036	C₂²	1	1	yes	characteristic
113	#2036	C₂²	1	1	yes	characteristic
114	#2036	C₂²	1	1	yes	characteristic
115	#2035	C₂²	1	1	yes	characteristic
116	#2035	C₂²	1	1	yes	characteristic
117	#2034	C₂²	1	1	yes	characteristic
118	#2034	C₂²	1	1	yes	characteristic
119	#2001	C₂²	1	1	yes	characteristic
120	#2001	C₂²	1	1	yes	characteristic
121	#2000	C₂²	1	1	yes	characteristic
122	#2000	C₂²	1	1	yes	characteristic
123	#1989	C₂²	1	1	yes	characteristic
124	#1989	C₂²	1	1	yes	characteristic
125	#1989	C₂²	1	1	yes	characteristic
126	#1989	C₂²	1	1	yes	characteristic
127	#1983	C₂²	1	1	yes	characteristic
128	#1983	C₂²	1	1	yes	characteristic
129	#1981	C₂²	1	1	yes	characteristic
130	#1981	C₂²	1	1	yes	characteristic
131	#1949	C₂²	1	1	yes	characteristic
132	#1949	C₂²	1	1	yes	characteristic
133	#1949	C₂²	1	1	yes	characteristic
134	#1949	C₂²	1	1	yes	characteristic
135	#1949	C₂²	1	1	yes	characteristic
136	#1949	C₂²	1	1	yes	characteristic
137	#1948	C₂²	1	1	yes	characteristic
138	#1947	C₂²	1	1	yes	characteristic
139	#1928	C₂²	1	1	yes	characteristic
140	#1928	C₂²	1	1	yes	characteristic
141	#1928	C₂²	1	1	yes	characteristic
142	#1927	C₂²	1	1	yes	characteristic
143	#1927	C₂²	1	1	yes	characteristic
144	#1927	C₂²	1	1	yes	characteristic
145	#1926	C₂²	1	1	yes	characteristic
146	#1925	C₂²	1	1	yes	characteristic
147	#1921	C₂²	1	1	yes	characteristic
148	#1921	C₂²	1	1	yes	characteristic
149	#1921	C₂²	1	1	yes	characteristic
150	#1920	C₂²	1	1	yes	characteristic
151	#1920	C₂²	1	1	yes	characteristic
152	#1920	C₂²	1	1	yes	characteristic
153	#1919	C₂²	1	1	yes	characteristic
154	#1918	C₂²	1	1	yes	characteristic
155	#1880	C₂²	1	1	yes	characteristic
156	#1880	C₂²	1	1	yes	characteristic
157	#1878	C₂²	1	1	yes	characteristic
158	#1878	C₂²	1	1	yes	characteristic
159	#1878	C₂²	1	1	yes	characteristic
160	#1878	C₂²	1	1	yes	characteristic
161	#1877	C₂²	1	1	yes	characteristic
162	#1877	C₂²	1	1	yes	characteristic
163	#1865	C₂²	1	1	yes	characteristic
164	#1865	C₂²	1	1	yes	characteristic
165	#1865	C₂²	1	1	yes	characteristic
166	#1865	C₂²	1	1	yes	characteristic
167	#1863	C₂²	1	1	yes	characteristic
168	#1863	C₂²	1	1	yes	characteristic
169	#1862	C₂²	1	1	yes	characteristic
170	#1862	C₂²	1	1	yes	characteristic
171	#1842	C₂²	1	1	yes	characteristic
172	#1842	C₂²	1	1	yes	characteristic
173	#1832	C₂²	1	1	yes	characteristic
174	#1832	C₂²	1	1	yes	characteristic
175	#1805	C₂²	1	1	yes	characteristic
176	#1805	C₂²	1	1	yes	characteristic
177	#1805	C₂²	1	1	yes	characteristic
178	#1805	C₂²	1	1	yes	characteristic
179	#1805	C₂²	1	1	yes	characteristic
180	#1804	C₂²	1	1	yes	characteristic
181	#1803	C₂²	1	1	yes	characteristic
182	#1802	C₂²	1	1	yes	characteristic
183	#1798	C₂²	1	1	yes	characteristic
184	#1798	C₂²	1	1	yes	characteristic
185	#1797	C₂²	1	1	yes	characteristic
186	#1797	C₂²	1	1	yes	characteristic
187	#1776	C₂²	1	1	yes	characteristic
188	#1776	C₂²	1	1	yes	characteristic
189	C₄×#107	C₂²	1	1	yes	characteristic
190	C₄×#106	C₂²	1	1	yes	characteristic
191	#1768	C₂²	1	1	yes	characteristic
192	#1768	C₂²	1	1	yes	characteristic
193	#1767	C₂²	1	1	yes	characteristic
194	C₄×C₄⋊C₈	C₂²	1	1	yes	characteristic
195	#1763	C₂²	1	1	yes	characteristic
196	#1763	C₂²	1	1	yes	characteristic
197	#1763	C₂²	1	1	yes	characteristic
198	#1762	C₂²	1	1	yes	characteristic
199	C₄×#103	C₂²	1	1	yes	characteristic
200	C₄×#103	C₂²	1	1	yes	characteristic
201	C₄×#103	C₂²	1	1	yes	characteristic
202	C₄×#102	C₂²	1	1	yes	characteristic
203	C₂²×Q₁₆	C₂³	1	1	yes	characteristic
204	C₂²×Q₁₆	C₂³	1	1	yes	characteristic
205	C₂²×SD₁₆	C₂³	1	1	yes	characteristic
206	C₂²×SD₁₆	C₂³	1	1	yes	characteristic
207	#541	—	2	4	no	—
208	#541	—	2	4	no	—
209	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
210	#529	—	2	4	no	—
211	#529	—	2	4	no	—
212	C₂×#126	—	2	1	no	—
213	C₂×#126	—	2	1	no	—
214	C₂×#126	—	2	1	no	—
215	C₂×#125	—	2	1	no	—
216	C₂×#125	—	2	1	no	—
217	C₂×#125	C₂³	1	1	yes	characteristic
218	C₂×#125	C₂³	1	1	yes	characteristic
219	C₂×#124	C₂³	1	1	yes	characteristic
220	C₂×#123	—	2	1	no	—
221	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
222	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
223	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
224	C₂×#121	C₂³	1	1	yes	characteristic
225	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
226	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
227	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
228	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
229	C₂×C₄×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×C₄×Q₈	C₂³	1	1	yes	characteristic
233	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
234	C₂×C₄×D₄	—	2	1	no	—
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×#117	—	2	1	no	—
239	C₂×#117	C₂³	1	1	yes	characteristic
240	C₂×#117	C₂³	1	1	yes	characteristic
241	C₂²×C₄²	C₂³	1	1	yes	characteristic
242	#479	—	2	4	no	—
243	#479	—	2	4	no	—
244	#479	—	2	4	no	—
245	#478	—	2	4	no	—
246	#464	—	2	4	no	—
247	#464	—	2	4	no	—
248	#462	—	2	4	no	—
249	#461	—	2	4	no	—
250	#441	—	4	2	no	—
251	#440	—	4	2	no	—
252	C₄×Q₁₆	—	4	2	no	—
253	C₄×SD₁₆	—	4	2	no	—
254	#433	—	4	2	no	—
255	#433	—	4	2	no	—
256	C₂×#107	C₂³	1	1	yes	characteristic
257	C₂×#107	C₂³	1	1	yes	characteristic
258	C₂×#107	C₂³	1	1	yes	characteristic
259	C₂×#107	C₂³	1	1	yes	characteristic
260	C₂×#107	C₂³	1	1	yes	characteristic
261	C₂×#107	C₂³	1	1	yes	characteristic
262	C₂×#106	C₂³	1	1	yes	characteristic
263	C₂×#106	C₂³	1	1	yes	characteristic
264	C₂×#106	C₂³	1	1	yes	characteristic
265	C₂×#106	C₂³	1	1	yes	characteristic
266	C₂×#106	C₂³	1	1	yes	characteristic
267	C₂×#106	C₂³	1	1	yes	characteristic
268	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
269	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
270	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
271	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
272	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
273	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
274	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
275	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
276	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
277	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
278	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
279	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
280	C₂×#103	C₂³	1	1	yes	characteristic
281	C₂×#103	C₂³	1	1	yes	characteristic
282	C₂×#103	C₂³	1	1	yes	characteristic
283	C₂×#103	C₂³	1	1	yes	characteristic
284	C₂×#103	C₂³	1	1	yes	characteristic
285	C₂×#103	C₂³	1	1	yes	characteristic
286	C₂×#103	C₂³	1	1	yes	characteristic
287	C₂×#103	C₂³	1	1	yes	characteristic
288	C₂×#103	C₂³	1	1	yes	characteristic
289	C₂×#103	C₂³	1	1	yes	characteristic
290	C₂×#103	C₂³	1	1	yes	characteristic
291	C₂×#103	C₂³	1	1	yes	characteristic
292	C₂×#103	C₂³	1	1	yes	characteristic
293	C₂×#103	C₂³	1	1	yes	characteristic
294	C₂×#103	C₂³	1	1	yes	characteristic
295	C₂×#103	C₂³	1	1	yes	characteristic
296	C₂×#103	C₂³	1	1	yes	characteristic
297	C₂×#103	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×C₂²⋊C₈	C₂³	1	1	yes	characteristic
305	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
306	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
307	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
308	C₂×#97	C₂³	1	1	yes	characteristic
309	C₂×#97	C₂³	1	1	yes	characteristic
310	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
311	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
312	#391	C₂³	1	1	yes	characteristic
313	#391	C₂³	1	1	yes	characteristic
314	#391	C₂³	1	1	yes	characteristic
315	#391	C₂³	1	1	yes	characteristic
316	#391	C₂³	1	1	yes	characteristic
317	#391	C₂³	1	1	yes	characteristic
318	#390	—	2	1	no	—
319	#390	—	2	1	no	—
320	#390	C₂³	1	1	yes	characteristic
321	#390	C₂³	1	1	yes	characteristic
322	#389	—	2	1	no	—
323	#389	—	2	1	no	—
324	#389	—	2	1	no	—
325	#389	—	2	1	no	—
326	#389	—	2	1	no	—
327	#389	—	2	1	no	—
328	#389	—	2	1	no	—
329	#389	—	2	1	no	—
330	#389	C₂³	1	1	yes	characteristic
331	#389	C₂³	1	1	yes	characteristic
332	#389	C₂³	1	1	yes	characteristic
333	#389	C₂³	1	1	yes	characteristic
334	#389	C₂³	1	1	yes	characteristic
335	#389	C₂³	1	1	yes	characteristic
336	#389	C₂³	1	1	yes	characteristic
337	#389	C₂³	1	1	yes	characteristic
338	#388	—	2	1	no	—
339	#388	—	2	1	no	—
340	#388	—	2	1	no	—
341	#388	—	2	1	no	—
342	#388	—	2	1	no	—
343	#388	—	2	1	no	—
344	#388	—	2	1	no	—
345	#388	—	2	1	no	—
346	#388	—	2	1	no	—
347	#388	—	2	1	no	—
348	#388	—	2	1	no	—
349	#388	—	2	1	no	—
350	#388	—	2	1	no	—
351	#388	—	2	1	no	—
352	#388	—	2	1	no	—
353	#388	—	2	1	no	—
354	#388	—	2	1	no	—
355	#388	—	2	1	no	—
356	#387	—	2	1	no	—
357	#387	—	2	1	no	—
358	#387	—	2	1	no	—
359	#387	—	2	1	no	—
360	#387	—	2	1	no	—
361	#387	—	2	1	no	—
362	#387	—	2	1	no	—
363	#387	—	2	1	no	—
364	#387	—	2	1	no	—
365	#387	—	2	1	no	—
366	#387	—	2	1	no	—
367	#387	—	2	1	no	—
368	#387	—	2	1	no	—
369	#387	—	2	1	no	—
370	#387	—	2	1	no	—
371	#387	—	2	1	no	—
372	#387	—	2	1	no	—
373	#387	—	2	1	no	—
374	#387	—	2	1	no	—
375	#387	—	2	1	no	—
376	#387	—	2	1	no	—
377	#387	—	2	1	no	—
378	#387	—	2	1	no	—
379	#387	—	2	1	no	—
380	#387	—	2	1	no	—
381	#387	—	2	1	no	—
382	#386	—	2	1	no	—
383	#386	—	2	1	no	—
384	#385	—	2	1	no	—
385	#385	—	2	1	no	—
386	#385	—	2	1	no	—
387	#385	—	2	1	no	—
388	#384	C₂³	1	1	yes	characteristic
389	#383	—	2	1	no	—
390	#383	—	2	1	no	—
391	#383	—	2	1	no	—
392	#383	—	2	1	no	—
393	#382	—	2	1	no	—
394	#382	—	2	1	no	—
395	#382	—	2	1	no	—
396	#382	C₂³	1	1	yes	characteristic
397	#382	C₂³	1	1	yes	characteristic
398	#382	C₂³	1	1	yes	characteristic
399	#381	—	2	1	no	—
400	#381	—	2	1	no	—
401	#380	—	2	1	no	—
402	#380	C₂³	1	1	yes	characteristic
403	#380	C₂³	1	1	yes	characteristic
404	#380	C₂³	1	1	yes	characteristic
405	#380	C₂³	1	1	yes	characteristic
406	C₄×C₄⋊C₄	—	2	1	no	—
407	C₄×C₄⋊C₄	—	2	1	no	—
408	C₄×C₄⋊C₄	—	2	1	no	—
409	C₄×C₄⋊C₄	—	2	1	no	—
410	C₄×C₄⋊C₄	—	2	1	no	—
411	C₄×C₄⋊C₄	—	2	1	no	—
412	C₄×C₄⋊C₄	—	2	1	no	—
413	C₄×C₄⋊C₄	—	2	1	no	—
414	C₄×C₄⋊C₄	—	2	1	no	—
415	C₄×C₄⋊C₄	—	2	1	no	—
416	C₄×C₄⋊C₄	—	2	1	no	—
417	C₄×C₄⋊C₄	—	2	1	no	—
418	C₄×C₄⋊C₄	—	2	1	no	—
419	C₄×C₄⋊C₄	—	2	1	no	—
420	C₄×C₄⋊C₄	—	2	1	no	—
421	C₄×C₄⋊C₄	—	2	1	no	—
422	C₄×C₄⋊C₄	—	2	1	no	—
423	C₄×C₄⋊C₄	—	2	1	no	—
424	C₄×C₄⋊C₄	—	2	1	no	—
425	C₄×C₄⋊C₄	D₄	1	1	yes	characteristic
426	C₄×C₄⋊C₄	D₄	1	1	yes	characteristic
427	C₄×C₄⋊C₄	D₄	1	1	yes	characteristic
428	C₄×C₄⋊C₄	D₄	1	1	yes	characteristic
429	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
430	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
431	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
432	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
433	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
434	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
435	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
436	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
437	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
438	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
439	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
440	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
441	C₄×C₂²⋊C₄	—	2	1	no	—
442	C₄×C₂²⋊C₄	—	2	1	no	—
443	C₄×C₂²⋊C₄	—	2	1	no	—
444	C₄×C₂²⋊C₄	—	2	1	no	—
445	C₄×C₂²⋊C₄	—	2	1	no	—
446	C₄×C₂²⋊C₄	—	2	1	no	—
447	C₄×C₂²⋊C₄	—	2	1	no	—
448	C₄×C₂²⋊C₄	—	2	1	no	—
449	C₄×C₂²⋊C₄	—	2	1	no	—
450	C₄×C₂²⋊C₄	—	2	1	no	—
451	C₄×C₂²⋊C₄	D₄	1	1	yes	characteristic
452	C₄×C₂²⋊C₄	D₄	1	1	yes	characteristic
453	C₄×C₂²⋊C₄	D₄	1	1	yes	characteristic
454	C₄×C₂²⋊C₄	D₄	1	1	yes	characteristic
455	#376	—	2	1	no	—
456	#376	—	2	1	no	—
457	#376	C₂³	1	1	yes	characteristic
458	#376	C₂³	1	1	yes	characteristic
459	C₂×#95	—	2	1	no	—
460	C₄³	—	2	1	no	—
461	C₄³	—	2	1	no	—
462	C₄³	C₂³	1	1	yes	characteristic
463	C₄³	C₂³	1	1	yes	characteristic
464	#340	C₂³	1	1	yes	characteristic
465	#340	C₂³	1	1	yes	characteristic
466	#340	C₂³	1	1	yes	characteristic
467	#340	C₂³	1	1	yes	characteristic
468	#340	C₂³	1	1	yes	characteristic
469	#340	C₂³	1	1	yes	characteristic
470	#340	C₂³	1	1	yes	characteristic
471	#340	C₂³	1	1	yes	characteristic
472	#340	C₂³	1	1	yes	characteristic
473	#340	C₂³	1	1	yes	characteristic
474	#340	C₂³	1	1	yes	characteristic
475	#340	C₂³	1	1	yes	characteristic
476	#340	C₂³	1	1	yes	characteristic
477	#340	C₂³	1	1	yes	characteristic
478	#340	C₂³	1	1	yes	characteristic
479	#340	C₂³	1	1	yes	characteristic
480	#340	C₂³	1	1	yes	characteristic
481	#340	C₂³	1	1	yes	characteristic
482	#340	C₂³	1	1	yes	characteristic
483	#340	C₂³	1	1	yes	characteristic
484	#340	C₂³	1	1	yes	characteristic
485	#340	C₂³	1	1	yes	characteristic
486	#340	C₂³	1	1	yes	characteristic
487	#340	C₂³	1	1	yes	characteristic
488	#336	C₂³	1	1	yes	characteristic
489	#336	C₂³	1	1	yes	characteristic
490	#336	C₂³	1	1	yes	characteristic
491	#336	C₂³	1	1	yes	characteristic
492	#336	C₂³	1	1	yes	characteristic
493	#336	C₂³	1	1	yes	characteristic
494	#336	C₂³	1	1	yes	characteristic
495	#336	C₂³	1	1	yes	characteristic
496	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
497	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
498	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
499	C₂²×D₄	—	2	1	no	—
500	C₂²×D₄	C₂⁴	1	1	yes	characteristic
501	C₂³×C₄	—	2	1	no	—
502	C₂³×C₄	—	2	1	no	—
503	C₂³×C₄	—	2	1	no	—
504	C₂³×C₄	C₂×D₄	1	1	yes	characteristic
505	C₂³×C₄	C₂×D₄	1	1	yes	characteristic
506	C₂³×C₄	C₂⁴	1	1	yes	characteristic
507	C₂×Q₁₆	—	2	2	no	—
508	C₂×Q₁₆	—	2	2	no	—
509	C₂×Q₁₆	—	2	2	no	—
510	C₂×Q₁₆	—	2	2	no	—
511	C₂×Q₁₆	—	4	1	no	—
512	C₂×Q₁₆	—	4	1	no	—
513	C₂×SD₁₆	—	2	2	no	—
514	C₂×SD₁₆	—	2	2	no	—
515	C₂×SD₁₆	—	2	2	no	—
516	C₂×SD₁₆	—	2	2	no	—
517	C₂×SD₁₆	—	4	1	no	—
518	C₂×SD₁₆	—	4	1	no	—
519	C₂²×C₈	C₂⁴	1	1	yes	characteristic
520	C₂²×C₈	C₂⁴	1	1	yes	characteristic
521	C₂²×C₈	C₂⁴	1	1	yes	characteristic
522	C₂²×C₈	C₂⁴	1	1	yes	characteristic
523	C₂²×C₈	C₂⁴	1	1	yes	characteristic
524	C₂²×C₈	C₂⁴	1	1	yes	characteristic
525	C₂²×C₈	C₂⁴	1	1	yes	characteristic
526	C₂²×C₈	C₂⁴	1	1	yes	characteristic
527	C₄⋊Q₈	—	2	2	no	—
528	C₄⋊Q₈	#41	1	4	yes	—
529	#126	—	2	8	no	—
530	#126	—	2	8	no	—
531	#126	—	2	8	no	—
532	#125	—	2	8	no	—
533	#125	—	2	8	no	—
534	#125	—	2	2	no	—
535	#125	—	2	2	no	—
536	#125	#41	1	4	yes	—
537	#125	#41	1	4	yes	—
538	#124	—	2	2	no	—
539	#124	#41	1	4	yes	—
540	#123	—	2	8	no	—
541	C₂²⋊Q₈	—	2	2	no	—
542	C₂²⋊Q₈	—	2	2	no	—
543	C₂²⋊Q₈	—	2	2	no	—
544	C₂²⋊Q₈	—	2	2	no	—
545	C₂²⋊Q₈	—	2	2	no	—
546	C₂²⋊Q₈	—	2	2	no	—
547	#121	—	2	2	no	—
548	#121	—	2	2	no	—
549	C₄×Q₈	—	2	2	no	—
550	C₄×Q₈	—	2	2	no	—
551	C₄×Q₈	—	2	2	no	—
552	C₄×Q₈	—	2	2	no	—
553	C₄×Q₈	—	2	2	no	—
554	C₄×Q₈	—	2	2	no	—
555	C₄×Q₈	—	2	2	no	—
556	C₄×Q₈	—	2	2	no	—
557	C₄×Q₈	—	2	2	no	—
558	C₄×Q₈	—	2	2	no	—
559	C₄×Q₈	—	2	2	no	—
560	C₄×Q₈	—	2	2	no	—
561	C₄×Q₈	—	2	2	no	—
562	C₄×Q₈	—	2	2	no	—
563	C₄×Q₈	—	2	2	no	—
564	C₄×Q₈	—	2	2	no	—
565	C₄×Q₈	—	2	2	no	—
566	C₄×Q₈	—	2	2	no	—
567	C₄×D₄	—	2	8	no	—
568	C₄×D₄	—	2	2	no	—
569	C₄×D₄	—	2	2	no	—
570	C₄×D₄	—	2	2	no	—
571	C₄×D₄	—	2	2	no	—
572	C₄×D₄	—	2	2	no	—
573	C₄×D₄	—	2	2	no	—
574	#117	—	2	8	no	—
575	#117	—	2	2	no	—
576	#117	—	2	2	no	—
577	#117	—	2	2	no	—
578	#117	—	2	2	no	—
579	C₂×C₄⋊C₄	—	2	1	no	—
580	C₂×C₄⋊C₄	—	2	1	no	—
581	C₂×C₄⋊C₄	—	2	1	no	—
582	C₂×C₄⋊C₄	—	2	1	no	—
583	C₂×C₄⋊C₄	—	2	1	no	—
584	C₂×C₄⋊C₄	—	2	1	no	—
585	C₂×C₄⋊C₄	—	2	1	no	—
586	C₂×C₄⋊C₄	—	2	1	no	—
587	C₂×C₄⋊C₄	—	2	1	no	—
588	C₂×C₄⋊C₄	—	2	1	no	—
589	C₂×C₄⋊C₄	—	2	1	no	—
590	C₂×C₄⋊C₄	—	2	1	no	—
591	C₂×C₄⋊C₄	—	2	1	no	—
592	C₂×C₄⋊C₄	—	2	1	no	—
593	C₂×C₄⋊C₄	—	2	1	no	—
594	C₂×C₄⋊C₄	—	2	1	no	—
595	C₂×C₄⋊C₄	—	2	1	no	—
596	C₂×C₄⋊C₄	—	2	1	no	—
597	C₂×C₄⋊C₄	—	2	1	no	—
598	C₂×C₄⋊C₄	—	2	1	no	—
599	C₂×C₄⋊C₄	—	2	1	no	—
600	C₂×C₄⋊C₄	—	2	1	no	—
601	C₂×C₄⋊C₄	—	2	1	no	—
602	C₂×C₄⋊C₄	—	2	1	no	—
603	C₂×C₄⋊C₄	—	2	1	no	—
604	C₂×C₄⋊C₄	—	2	1	no	—
605	C₂×C₄⋊C₄	—	2	1	no	—
606	C₂×C₄⋊C₄	—	2	1	no	—
607	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
608	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
609	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
610	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
611	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
612	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
613	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
614	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
615	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
616	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
617	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
618	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
619	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
620	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
621	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
622	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
623	C₂×C₂²⋊C₄	—	2	1	no	—
624	C₂×C₂²⋊C₄	—	2	1	no	—
625	C₂×C₂²⋊C₄	—	2	1	no	—
626	C₂×C₂²⋊C₄	—	2	1	no	—
627	C₂×C₂²⋊C₄	—	2	1	no	—
628	C₂×C₂²⋊C₄	—	2	1	no	—
629	C₂×C₂²⋊C₄	—	2	1	no	—
630	C₂×C₂²⋊C₄	—	2	1	no	—
631	C₂×C₂²⋊C₄	—	2	1	no	—
632	C₂×C₂²⋊C₄	—	2	1	no	—
633	C₂×C₂²⋊C₄	—	2	1	no	—
634	C₂×C₂²⋊C₄	—	2	1	no	—
635	C₂×C₂²⋊C₄	—	2	1	no	—
636	C₂×C₂²⋊C₄	—	2	1	no	—
637	C₂×C₂²⋊C₄	—	2	1	no	—
638	C₂×C₂²⋊C₄	—	2	1	no	—
639	C₂×C₂²⋊C₄	—	2	1	no	—
640	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
641	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
642	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
643	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
644	C₂×C₄²	—	2	1	no	—
645	C₂×C₄²	—	2	1	no	—
646	C₂×C₄²	—	2	1	no	—
647	C₂×C₄²	—	2	2	no	—
648	C₂×C₄²	—	2	2	no	—
649	C₂×C₄²	—	2	1	no	—
650	C₂×C₄²	—	2	1	no	—
651	C₂×C₄²	—	2	1	no	—
652	C₂×C₄²	—	2	1	no	—
653	C₂×C₄²	—	2	1	no	—
654	C₂×C₄²	—	2	1	no	—
655	C₂×C₄²	—	2	1	no	—
656	C₂×C₄²	—	2	1	no	—
657	C₂×C₄²	—	2	1	no	—
658	C₂×C₄²	—	2	1	no	—
659	C₂×C₄²	—	2	1	no	—
660	C₂×C₄²	—	2	1	no	—
661	C₂×C₄²	—	2	1	no	—
662	C₂×C₄²	—	2	1	no	—
663	C₂×C₄²	—	2	1	no	—
664	C₂×C₄²	—	2	1	no	—
665	C₂×C₄²	—	2	1	no	—
666	C₂×C₄²	—	2	1	no	—
667	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
668	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
669	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
670	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
671	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
672	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
673	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
674	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
675	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
676	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
677	C₂×C₄²	C₂⁴	1	1	yes	characteristic
678	C₂×C₄²	C₂⁴	1	1	yes	characteristic
679	C₂×C₄²	C₂⁴	1	1	yes	characteristic
680	C₂×C₄²	C₂⁴	1	1	yes	characteristic
681	C₂×C₄²	C₂⁴	1	1	yes	characteristic
682	C₂×C₄²	C₂⁴	1	1	yes	characteristic
683	#107	—	2	2	no	—
684	#107	—	2	2	no	—
685	#107	—	2	2	no	—
686	#107	—	2	2	no	—
687	#107	—	4	1	no	—
688	#107	—	4	1	no	—
689	#106	—	2	2	no	—
690	#106	—	2	2	no	—
691	#106	—	2	2	no	—
692	#106	—	2	2	no	—
693	#106	—	4	1	no	—
694	#106	—	4	1	no	—
695	C₄⋊C₈	—	2	2	no	—
696	C₄⋊C₈	—	2	2	no	—
697	C₄⋊C₈	—	2	2	no	—
698	C₄⋊C₈	—	2	2	no	—
699	C₄⋊C₈	—	2	2	no	—
700	C₄⋊C₈	—	2	2	no	—
701	C₄⋊C₈	—	2	2	no	—
702	C₄⋊C₈	—	2	2	no	—
703	C₄⋊C₈	—	4	1	no	—
704	C₄⋊C₈	—	4	1	no	—
705	C₄⋊C₈	—	4	1	no	—
706	C₄⋊C₈	—	4	1	no	—
707	#103	—	2	2	no	—
708	#103	—	2	2	no	—
709	#103	—	2	2	no	—
710	#103	—	2	2	no	—
711	#103	—	2	2	no	—
712	#103	—	2	2	no	—
713	#103	—	2	2	no	—
714	#103	—	2	2	no	—
715	#103	—	2	2	no	—
716	#103	—	2	2	no	—
717	#103	—	2	2	no	—
718	#103	—	2	2	no	—
719	#103	—	4	1	no	—
720	#103	—	4	1	no	—
721	#103	—	4	1	no	—
722	#103	—	4	1	no	—
723	#103	—	4	1	no	—
724	#103	—	4	1	no	—
725	#102	—	2	2	no	—
726	#102	—	2	2	no	—
727	#102	—	2	2	no	—
728	#102	—	2	2	no	—
729	#102	—	4	1	no	—
730	#102	—	4	1	no	—
731	C₂²⋊C₈	—	4	1	no	—
732	C₂²⋊C₈	—	4	1	no	—
733	C₂²⋊C₈	—	4	1	no	—
734	C₂²⋊C₈	—	4	1	no	—
735	#97	—	2	2	no	—
736	#97	—	2	2	no	—
737	C₄×C₈	—	2	2	no	—
738	C₄×C₈	—	2	2	no	—
739	#95	—	2	1	no	—
740	#95	—	2	1	no	—
741	#95	—	2	1	no	—
742	#95	—	2	1	no	—
743	#95	—	2	1	no	—
744	#95	—	2	1	no	—
745	#95	—	2	1	no	—
746	#95	—	2	1	no	—
747	#95	—	2	1	no	—
748	#95	—	2	1	no	—
749	#95	—	2	1	no	—
750	#95	—	2	1	no	—
751	#95	—	2	1	no	—
752	#95	—	2	1	no	—
753	#95	—	2	1	no	—
754	#95	—	2	1	no	—
755	#95	—	2	1	no	—
756	#95	—	2	1	no	—
757	#95	—	2	1	no	—
758	#95	—	2	1	no	—
759	#95	—	2	1	no	—
760	#95	—	2	1	no	—
761	#95	—	2	1	no	—
762	#95	—	2	1	no	—
763	#95	—	2	1	no	—
764	#95	—	2	1	no	—
765	#95	—	2	1	no	—
766	#95	—	2	1	no	—
767	#95	—	2	1	no	—
768	#95	—	2	1	no	—
769	#95	—	2	1	no	—
770	#95	—	2	1	no	—
771	#95	—	2	1	no	—
772	#95	—	2	1	no	—
773	#95	—	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	C₂×D₄	1	1	yes	characteristic
782	#95	C₂×D₄	1	1	yes	characteristic
783	#95	C₂×D₄	1	1	yes	characteristic
784	#95	C₂×D₄	1	1	yes	characteristic
785	#95	C₂×D₄	1	1	yes	characteristic
786	#95	C₂×D₄	1	1	yes	characteristic
787	#95	C₂×D₄	1	1	yes	characteristic
788	#95	C₂×D₄	1	1	yes	characteristic
789	C₂⁴	—	2	1	no	—
790	C₂⁴	C₂²×D₄	1	1	yes	characteristic
791	C₂×Q₈	—	2	1	no	—
792	C₂×Q₈	—	2	1	no	—
793	C₂×Q₈	—	2	1	no	—
794	C₂×Q₈	—	2	1	no	—
795	C₂×Q₈	—	2	1	no	—
796	C₂×Q₈	—	2	1	no	—
797	C₂×Q₈	—	2	1	no	—
798	C₂×Q₈	—	2	1	no	—
799	C₂×Q₈	—	2	1	no	—
800	C₂×Q₈	—	2	1	no	—
801	C₂×Q₈	—	2	1	no	—
802	C₂×Q₈	—	2	1	no	—
803	C₂×Q₈	—	2	1	no	—
804	C₂×Q₈	—	2	1	no	—
805	C₂×Q₈	—	2	1	no	—
806	C₂×Q₈	C₂×#41	1	2	yes	—
807	C₂×Q₈	C₂×#41	1	2	yes	—
808	C₂×Q₈	C₂×#41	1	2	yes	—
809	C₂×D₄	—	2	4	no	—
810	C₂×D₄	—	2	1	no	—
811	C₂×D₄	—	2	1	no	—
812	C₂×D₄	—	2	1	no	—
813	C₂×D₄	—	2	1	no	—
814	C₂×D₄	—	2	1	no	—
815	C₂×D₄	—	8	1	no	—
816	C₂×D₄	—	8	1	no	—
817	C₂×D₄	C₂×#41	1	2	yes	—
818	C₂²×C₄	—	2	1	no	—
819	C₂²×C₄	—	2	1	no	—
820	C₂²×C₄	—	2	1	no	—
821	C₂²×C₄	—	2	1	no	—
822	C₂²×C₄	—	2	1	no	—
823	C₂²×C₄	—	2	1	no	—
824	C₂²×C₄	—	2	1	no	—
825	C₂²×C₄	—	2	4	no	—
826	C₂²×C₄	—	2	1	no	—
827	C₂²×C₄	—	2	1	no	—
828	C₂²×C₄	—	2	1	no	—
829	C₂²×C₄	—	2	1	no	—
830	C₂²×C₄	—	2	1	no	—
831	C₂²×C₄	—	2	1	no	—
832	C₂²×C₄	—	2	2	no	—
833	C₂²×C₄	—	2	2	no	—
834	C₂²×C₄	—	2	1	no	—
835	C₂²×C₄	—	2	1	no	—
836	C₂²×C₄	—	2	1	no	—
837	C₂²×C₄	—	2	1	no	—
838	C₂²×C₄	—	2	1	no	—
839	C₂²×C₄	—	2	1	no	—
840	C₂²×C₄	—	2	1	no	—
841	C₂²×C₄	—	2	1	no	—
842	C₂²×C₄	—	4	1	no	—
843	C₂²×C₄	—	4	1	no	—
844	C₂²×C₄	—	4	1	no	—
845	C₂²×C₄	—	4	1	no	—
846	C₂²×C₄	—	4	2	no	—
847	C₂²×C₄	—	4	2	no	—
848	C₂²×C₄	—	8	1	no	—
849	C₂²×C₄	—	8	1	no	—
850	C₂²×C₄	—	8	1	no	—
851	C₂²×C₄	—	8	1	no	—
852	C₂²×C₄	—	8	1	no	—
853	C₂²×C₄	—	8	1	no	—
854	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
855	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
856	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
857	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
858	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
859	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
860	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
861	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
862	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
863	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
864	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
865	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
866	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
867	C₂²×C₄	C₂⁵	1	1	yes	characteristic
868	Q₁₆	—	4	4	no	—
869	Q₁₆	—	4	4	no	—
870	SD₁₆	—	4	4	no	—
871	SD₁₆	—	4	4	no	—
872	C₂×C₈	—	2	1	no	—
873	C₂×C₈	—	2	1	no	—
874	C₂×C₈	—	2	1	no	—
875	C₂×C₈	—	2	1	no	—
876	C₂×C₈	—	2	1	no	—
877	C₂×C₈	—	2	1	no	—
878	C₂×C₈	—	2	1	no	—
879	C₂×C₈	—	2	1	no	—
880	C₂×C₈	—	2	1	no	—
881	C₂×C₈	—	2	1	no	—
882	C₂×C₈	—	2	1	no	—
883	C₂×C₈	—	2	1	no	—
884	C₂×C₈	—	2	1	no	—
885	C₂×C₈	—	2	1	no	—
886	C₂×C₈	—	2	1	no	—
887	C₂×C₈	—	2	1	no	—
888	C₂×C₈	—	2	1	no	—
889	C₂×C₈	—	2	1	no	—
890	C₂×C₈	—	2	1	no	—
891	C₂×C₈	—	2	1	no	—
892	C₂×C₈	—	2	1	no	—
893	C₂×C₈	—	2	1	no	—
894	C₂×C₈	—	2	1	no	—
895	C₂×C₈	—	2	1	no	—
896	C₄⋊C₄	—	2	4	no	—
897	C₄⋊C₄	—	2	4	no	—
898	C₄⋊C₄	—	2	4	no	—
899	C₄⋊C₄	—	2	4	no	—
900	C₄⋊C₄	—	2	4	no	—
901	C₄⋊C₄	—	2	4	no	—
902	C₄⋊C₄	—	2	4	no	—
903	C₄⋊C₄	—	2	4	no	—
904	C₄⋊C₄	—	2	4	no	—
905	C₄⋊C₄	—	2	4	no	—
906	C₄⋊C₄	—	2	4	no	—
907	C₄⋊C₄	—	2	4	no	—
908	C₄⋊C₄	—	2	2	no	—
909	C₄⋊C₄	—	2	2	no	—
910	C₄⋊C₄	—	2	2	no	—
911	C₄⋊C₄	—	2	2	no	—
912	C₄⋊C₄	—	2	1	no	—
913	C₄⋊C₄	—	2	1	no	—
914	C₄⋊C₄	—	2	1	no	—
915	C₄⋊C₄	—	2	1	no	—
916	C₄⋊C₄	—	2	1	no	—
917	C₄⋊C₄	—	2	1	no	—
918	C₄⋊C₄	—	2	1	no	—
919	C₄⋊C₄	—	2	1	no	—
920	C₄⋊C₄	—	2	1	no	—
921	C₄⋊C₄	—	2	1	no	—
922	C₄⋊C₄	—	2	1	no	—
923	C₄⋊C₄	—	2	1	no	—
924	C₄⋊C₄	—	2	1	no	—
925	C₄⋊C₄	—	2	1	no	—
926	C₄⋊C₄	—	2	1	no	—
927	C₄⋊C₄	—	2	1	no	—
928	C₄⋊C₄	—	2	1	no	—
929	C₄⋊C₄	—	2	1	no	—
930	C₄⋊C₄	—	2	1	no	—
931	C₄⋊C₄	—	2	1	no	—
932	C₄⋊C₄	—	4	2	no	—
933	C₄⋊C₄	—	4	2	no	—
934	C₄⋊C₄	—	4	2	no	—
935	C₄⋊C₄	—	4	2	no	—
936	C₄⋊C₄	—	4	2	no	—
937	C₄⋊C₄	—	4	2	no	—
938	C₄⋊C₄	—	8	1	no	—
939	C₄⋊C₄	—	8	1	no	—
940	C₄⋊C₄	—	8	1	no	—
941	C₄⋊C₄	—	8	1	no	—
942	C₄⋊C₄	—	8	1	no	—
943	C₄⋊C₄	—	8	1	no	—
944	C₄⋊C₄	—	8	1	no	—
945	C₄⋊C₄	—	8	1	no	—
946	C₄⋊C₄	—	8	1	no	—
947	C₄⋊C₄	—	8	1	no	—
948	C₄⋊C₄	C₂×#41	1	2	yes	—
949	C₄⋊C₄	C₂×#41	1	2	yes	—
950	C₄⋊C₄	C₂×#41	1	2	yes	—
951	C₄⋊C₄	C₂×#41	1	2	yes	—
952	C₂²⋊C₄	—	2	4	no	—
953	C₂²⋊C₄	—	2	4	no	—
954	C₂²⋊C₄	—	2	4	no	—
955	C₂²⋊C₄	—	2	4	no	—
956	C₂²⋊C₄	—	2	4	no	—
957	C₂²⋊C₄	—	2	4	no	—
958	C₂²⋊C₄	—	2	4	no	—
959	C₂²⋊C₄	—	2	2	no	—
960	C₂²⋊C₄	—	2	2	no	—
961	C₂²⋊C₄	—	2	2	no	—
962	C₂²⋊C₄	—	2	2	no	—
963	C₂²⋊C₄	—	4	2	no	—
964	C₂²⋊C₄	—	4	2	no	—
965	C₂²⋊C₄	—	8	1	no	—
966	C₂²⋊C₄	—	8	1	no	—
967	C₂²⋊C₄	—	8	1	no	—
968	C₂²⋊C₄	—	8	1	no	—
969	C₂²⋊C₄	—	8	1	no	—
970	C₂²⋊C₄	—	8	1	no	—
971	C₂²⋊C₄	—	8	1	no	—
972	C₂²⋊C₄	—	8	1	no	—
973	C₄²	—	2	4	no	—
974	C₄²	—	2	4	no	—
975	C₄²	—	2	4	no	—
976	C₄²	—	2	2	no	—
977	C₄²	—	2	2	no	—
978	C₄²	—	2	1	no	—
979	C₄²	—	2	1	no	—
980	C₄²	—	2	1	no	—
981	C₄²	—	2	1	no	—
982	C₄²	—	2	1	no	—
983	C₄²	—	2	1	no	—
984	C₄²	—	4	1	no	—
985	C₄²	—	4	1	no	—
986	C₄²	—	4	1	no	—
987	C₄²	—	4	1	no	—
988	C₄²	—	4	1	no	—
989	C₄²	—	4	1	no	—
990	C₄²	—	4	1	no	—
991	C₄²	—	4	1	no	—
992	C₄²	—	4	2	no	—
993	C₄²	—	4	2	no	—
994	C₄²	—	4	2	no	—
995	C₄²	—	4	2	no	—
996	C₄²	—	4	2	no	—
997	C₄²	—	4	2	no	—
998	C₄²	—	4	2	no	—
999	C₄²	—	4	2	no	—
1000	C₄²	—	8	1	no	—
1001	C₄²	—	8	1	no	—
1002	C₄²	—	8	1	no	—
1003	C₄²	—	8	1	no	—
1004	C₄²	—	8	1	no	—
1005	C₄²	—	8	1	no	—
1006	C₄²	—	8	1	no	—
1007	C₄²	—	8	1	no	—
1008	C₄²	—	8	1	no	—
1009	C₄²	—	8	1	no	—
1010	C₄²	C₂×#41	1	2	yes	—
1011	C₄²	C₂×#41	1	2	yes	—
1012	C₄²	C₂×#41	1	2	yes	—
1013	C₄²	C₂×#41	1	2	yes	—
1014	C₄²	H(5,𝔽₂)	1	2	yes	—
1015	C₄²	2₋¹⁺⁴	1	2	yes	—
1016	C₂³	—	2	1	no	—
1017	C₂³	—	2	1	no	—
1018	C₂³	—	2	1	no	—
1019	C₂³	—	2	1	no	—
1020	C₂³	—	2	1	no	—
1021	C₂³	—	2	2	no	—
1022	C₂³	—	2	1	no	—
1023	C₂³	—	2	1	no	—
1024	C₂³	—	4	1	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	C₂³×D₄	1	1	yes	characteristic
1031	Q₈	—	2	2	no	—
1032	Q₈	—	2	2	no	—
1033	Q₈	—	2	2	no	—
1034	Q₈	—	2	2	no	—
1035	Q₈	—	2	2	no	—
1036	Q₈	—	2	2	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	D₄	—	2	2	no	—
1044	D₄	—	2	2	no	—
1045	D₄	—	4	1	no	—
1046	D₄	—	4	1	no	—
1047	D₄	—	8	4	no	—
1048	C₂×C₄	—	2	1	no	—
1049	C₂×C₄	—	2	1	no	—
1050	C₂×C₄	—	2	1	no	—
1051	C₂×C₄	—	2	1	no	—
1052	C₂×C₄	—	2	1	no	—
1053	C₂×C₄	—	2	1	no	—
1054	C₂×C₄	—	2	1	no	—
1055	C₂×C₄	—	2	1	no	—
1056	C₂×C₄	—	2	1	no	—
1057	C₂×C₄	—	2	1	no	—
1058	C₂×C₄	—	2	1	no	—
1059	C₂×C₄	—	2	1	no	—
1060	C₂×C₄	—	2	1	no	—
1061	C₂×C₄	—	2	1	no	—
1062	C₂×C₄	—	2	1	no	—
1063	C₂×C₄	—	2	1	no	—
1064	C₂×C₄	—	2	1	no	—
1065	C₂×C₄	—	2	1	no	—
1066	C₂×C₄	—	2	1	no	—
1067	C₂×C₄	—	2	1	no	—
1068	C₂×C₄	—	2	1	no	—
1069	C₂×C₄	—	2	1	no	—
1070	C₂×C₄	—	2	1	no	—
1071	C₂×C₄	—	2	1	no	—
1072	C₂×C₄	—	2	1	no	—
1073	C₂×C₄	—	2	1	no	—
1074	C₂×C₄	—	2	1	no	—
1075	C₂×C₄	—	2	1	no	—
1076	C₂×C₄	—	2	1	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	1	no	—
1085	C₂×C₄	—	2	1	no	—
1086	C₂×C₄	—	2	1	no	—
1087	C₂×C₄	—	2	1	no	—
1088	C₂×C₄	—	4	1	no	—
1089	C₂×C₄	—	4	1	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	1	no	—
1104	C₂×C₄	—	4	1	no	—
1105	C₂×C₄	—	4	1	no	—
1106	C₂×C₄	—	4	1	no	—
1107	C₂×C₄	—	4	1	no	—
1108	C₂×C₄	—	4	1	no	—
1109	C₂×C₄	—	4	1	no	—
1110	C₂×C₄	—	4	1	no	—
1111	C₂×C₄	—	4	1	no	—
1112	C₂×C₄	—	4	1	no	—
1113	C₂×C₄	—	4	1	no	—
1114	C₂×C₄	—	4	1	no	—
1115	C₂×C₄	—	4	1	no	—
1116	C₂×C₄	—	4	1	no	—
1117	C₂×C₄	—	4	1	no	—
1118	C₂×C₄	—	4	1	no	—
1119	C₂×C₄	—	4	1	no	—
1120	C₂×C₄	—	4	1	no	—
1121	C₂×C₄	—	4	1	no	—
1122	C₂×C₄	—	4	1	no	—
1123	C₂×C₄	—	4	1	no	—
1124	C₂×C₄	—	4	1	no	—
1125	C₂×C₄	—	4	1	no	—
1126	C₂×C₄	—	4	1	no	—
1127	C₂×C₄	—	4	1	no	—
1128	C₂×C₄	—	4	1	no	—
1129	C₂×C₄	—	4	1	no	—
1130	C₂×C₄	—	8	2	no	—
1131	C₂×C₄	—	8	2	no	—
1132	C₂×C₄	—	8	4	no	—
1133	C₂×C₄	—	16	2	no	—
1134	C₂×C₄	—	16	2	no	—
1135	C₂×C₄	#525	1	2	yes	—
1136	C₂×C₄	#525	1	2	yes	—
1137	C₂×C₄	#525	1	2	yes	—
1138	C₂×C₄	#525	1	2	yes	—
1139	C₂×C₄	#537	1	2	yes	—
1140	C₂×C₄	#537	1	2	yes	—
1141	C₂×C₄	C₂²×#41	1	1	yes	characteristic
1142	C₂×C₄	C₂²×#41	1	1	yes	characteristic
1143	C₂×C₄	C₂²×#41	1	1	yes	characteristic
1144	C₂×C₄	C₂²×#41	1	1	yes	characteristic
1145	C₂×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1146	C₂×C₄	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1147	C₈	—	4	1	no	—
1148	C₈	—	4	1	no	—
1149	C₈	—	4	1	no	—
1150	C₈	—	4	1	no	—
1151	C₈	—	4	1	no	—
1152	C₈	—	4	1	no	—
1153	C₈	—	4	1	no	—
1154	C₈	—	4	1	no	—
1155	C₂²	—	4	1	no	—
1156	C₂²	—	4	1	no	—
1157	C₂²	—	4	2	no	—
1158	C₂²	—	4	1	no	—
1159	C₂²	—	4	2	no	—
1160	C₂²	—	4	1	no	—
1161	C₂²	—	4	2	no	—
1162	C₂²	—	4	1	no	—
1163	C₂²	—	4	1	no	—
1164	C₂²	—	4	1	no	—
1165	C₂²	—	8	1	no	—
1166	C₂²	—	8	1	no	—
1167	C₂²	—	8	1	no	—
1168	C₂²	—	8	1	no	—
1169	C₂²	C₂×#525	1	1	yes	characteristic
1170	C₂²	C₂×#525	1	1	yes	characteristic
1171	C₂²	C₂×#537	1	1	yes	characteristic
1172	C₂²	#3584	1	1	yes	characteristic
1173	C₂²	#3584	1	1	yes	characteristic
1174	C₂²	#3586	1	1	yes	characteristic
1175	C₂²	#3586	1	1	yes	characteristic
1176	C₄	—	2	2	no	—
1177	C₄	—	2	2	no	—
1178	C₄	—	2	2	no	—
1179	C₄	—	2	2	no	—
1180	C₄	—	2	2	no	—
1181	C₄	—	2	2	no	—
1182	C₄	—	4	1	no	—
1183	C₄	—	4	1	no	—
1184	C₄	—	4	2	no	—
1185	C₄	—	4	1	no	—
1186	C₄	—	4	2	no	—
1187	C₄	—	4	1	no	—
1188	C₄	—	4	2	no	—
1189	C₄	—	4	2	no	—
1190	C₄	—	4	2	no	—
1191	C₄	—	4	1	no	—
1192	C₄	—	4	2	no	—
1193	C₄	—	4	1	no	—
1194	C₄	—	4	2	no	—
1195	C₄	—	4	1	no	—
1196	C₄	—	8	1	no	—
1197	C₄	—	8	1	no	—
1198	C₄	—	8	1	no	—
1199	C₄	—	8	1	no	—
1200	C₄	—	8	1	no	—
1201	C₄	—	8	1	no	—
1202	C₄	—	8	1	no	—
1203	C₄	—	8	1	no	—
1204	C₄	#3481	1	1	yes	characteristic
1205	C₄	#3482	1	1	yes	characteristic
1206	C₄	#3482	1	1	yes	characteristic
1207	C₄	#3483	1	1	yes	characteristic
1208	C₂	—	8	1	no	—
1209	C₂	—	8	2	no	—
1210	C₂	#34976	1	1	yes	characteristic
1211	C₂	#60557	1	1	yes	characteristic
1212	C₂	#60569	1	1	yes	characteristic
1213	C₂	#60595	1	1	yes	characteristic
1214	C₂	#60598	1	1	yes	characteristic
1215	C₂	#60927	1	1	yes	characteristic
1216	C₂	#60932	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³	C₂³×D₄
commutator, Frattini, cosocle	C₂²×C₄	C₂⁵
prime radical	C₂×#121	C₂³
LCS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³ ◁ C₄×#117 ◁ G
LECS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁

Complements

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

N	H ≅ G/N	type
2. C₄×#541	C₂	semidirect
3. #29550	C₂	semidirect
4. #29549	C₂	semidirect
5. #29547	C₂	semidirect
6. #29544	C₂	semidirect
7. #29291	C₂	semidirect
8. #28287	C₂	semidirect
9. #28285	C₂	semidirect
10. #28254	C₂	semidirect
11. #27639	C₂	semidirect
13. #27634	C₂	semidirect
14. #27634	C₂	semidirect
15. #24165	C₂	semidirect
20. #23713	C₂	semidirect
22. #23705	C₂	semidirect
23. #21622	C₂	semidirect
24. #21620	C₂	semidirect
25. #21618	C₂	semidirect
26. C₄×#479	C₂	semidirect
27. #21516	C₂	semidirect
28. #21514	C₂	semidirect
29. #21508	C₂	semidirect
30. C₄×#464	C₂	semidirect
31. #20812	C₂	semidirect

Maximal subgroups

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

subgroup	index
#34227	2
C₄×#541	2
#29550	2
#29549	2
#29547	2
#29544	2
#29291	2
#28287	2
#28285	2
#28254	2
#27639	2
#27637	2
#27634	2
#24165	2
#24163	2
#24161	2
#23714	2
#23713	2
#23707	2
#23705	2
#21622	2
#21620	2
#21618	2
C₄×#479	2
#21516	2
#21514	2
#21508	2
C₄×#464	2
#20812	2