Subgroups — #6701094

Order 512.

1389 conjugacy classes of subgroups.

The subgroup lattice has 1213 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#39008	C₂	1	1	yes	maximal, characteristic, complemented
2	#36166	C₂	1	1	yes	maximal, characteristic, complemented
3	#33070	C₂	1	1	yes	maximal, characteristic, complemented
4	#32528	C₂	1	1	yes	maximal, characteristic, complemented
5	#32445	C₂	1	1	yes	maximal, characteristic, complemented
6	#32387	C₂	1	1	yes	maximal, characteristic, complemented
7	#32286	C₂	1	1	yes	maximal, characteristic, complemented
8	#31921	C₂	1	1	yes	maximal, characteristic, complemented
9	#31633	C₂	1	1	yes	maximal, characteristic, complemented
10	#31515	C₂	1	1	yes	maximal, characteristic, complemented
11	#31432	C₂	1	1	yes	maximal, characteristic, complemented
12	#30380	C₂	1	1	yes	maximal, characteristic, complemented
13	#30136	C₂	1	1	yes	maximal, characteristic, complemented
14	#29074	C₂	1	1	yes	maximal, characteristic, complemented
15	#28859	C₂	1	1	yes	maximal, characteristic, complemented
16	#27579	C₂	1	1	yes	maximal, characteristic, complemented
17	#27558	C₂	1	1	yes	maximal, characteristic, complemented
18	#27031	C₂	1	1	yes	maximal, characteristic, complemented
19	#26378	C₂	1	1	yes	maximal, characteristic, complemented
20	#26160	C₂	1	1	yes	maximal, characteristic, complemented
21	#26125	C₂	1	1	yes	maximal, characteristic, complemented
22	#25972	C₂	1	1	yes	maximal, characteristic, complemented
23	#25150	C₂	1	1	yes	maximal, characteristic
24	#24907	C₂	1	1	yes	maximal, characteristic, complemented
25	#24895	C₂	1	1	yes	maximal, characteristic
26	#24820	C₂	1	1	yes	maximal, characteristic, complemented
27	#24545	C₂	1	1	yes	maximal, characteristic, complemented
28	#22878	C₂	1	1	yes	maximal, characteristic
29	#22682	C₂	1	1	yes	maximal, characteristic, complemented
30	#22349	C₂	1	1	yes	maximal, characteristic, complemented
31	C₄×#463	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#478	C₂²	1	1	yes	characteristic
33	C₂×#463	C₂²	1	1	yes	characteristic
34	C₂×#452	C₂²	1	1	yes	characteristic
35	C₂×#449	C₂²	1	1	yes	characteristic
36	C₂×C₄×SD₁₆	C₂²	1	1	yes	characteristic
37	C₂×C₄×D₈	C₂²	1	1	yes	characteristic
38	C₂×C₄×D₈	C₂²	1	1	yes	characteristic
39	C₂×C₄×D₈	C₂²	1	1	yes	characteristic
40	C₂×#417	C₂²	1	1	yes	characteristic
41	#2864	C₂²	1	1	yes	characteristic
42	#2863	C₂²	1	1	yes	characteristic
43	#2852	—	2	1	no	—
44	#2770	—	2	1	no	—
45	#2746	—	2	1	no	—
46	#2744	—	2	1	no	—
47	#2743	—	2	1	no	—
48	#2652	—	2	1	no	—
49	#2571	C₂²	1	1	yes	characteristic
50	#2566	C₂²	1	1	yes	characteristic
51	#2514	C₂²	1	1	yes	characteristic
52	#2514	C₂²	1	1	yes	characteristic
53	#2514	C₂²	1	1	yes	characteristic
54	#2514	C₂²	1	1	yes	characteristic
55	#2510	—	2	1	no	—
56	#2510	—	2	1	no	—
57	#2510	—	2	1	no	—
58	#2503	C₂²	1	1	yes	characteristic
59	#2495	C₂²	1	1	yes	characteristic
60	#2495	C₂²	1	1	yes	characteristic
61	#2495	C₂²	1	1	yes	characteristic
62	#2493	—	2	1	no	—
63	#2493	—	2	1	no	—
64	#2493	—	2	1	no	—
65	#2493	—	2	1	no	—
66	#2466	—	2	1	no	—
67	#2453	C₂²	1	1	yes	characteristic
68	#2447	C₂²	1	1	yes	characteristic
69	#2442	C₂²	1	1	yes	characteristic
70	#2427	C₂²	1	1	yes	characteristic
71	#2423	C₂²	1	1	yes	characteristic
72	#2420	C₂²	1	1	yes	characteristic
73	#2361	C₂²	1	1	yes	characteristic
74	#2349	C₂²	1	1	yes	characteristic
75	#2349	C₂²	1	1	yes	characteristic
76	#2349	C₂²	1	1	yes	characteristic
77	#2349	C₂²	1	1	yes	characteristic
78	#2339	C₂²	1	1	yes	characteristic
79	#2339	C₂²	1	1	yes	characteristic
80	#2339	C₂²	1	1	yes	characteristic
81	#2318	—	2	1	no	—
82	C₄×#126	C₂²	1	1	yes	characteristic
83	C₄×#124	C₂²	1	1	yes	characteristic
84	C₂×#383	—	2	1	no	—
85	C₄²×D₄	C₂²	1	1	yes	characteristic
86	#2101	C₂²	1	1	yes	characteristic
87	#2101	C₂²	1	1	yes	characteristic
88	#2101	C₂²	1	1	yes	characteristic
89	#2101	C₂²	1	1	yes	characteristic
90	#2097	C₂²	1	1	yes	characteristic
91	#2097	C₂²	1	1	yes	characteristic
92	#2097	C₂²	1	1	yes	characteristic
93	#2097	C₂²	1	1	yes	characteristic
94	#2096	C₂²	1	1	yes	characteristic
95	#2088	C₂²	1	1	yes	characteristic
96	#2086	C₂²	1	1	yes	characteristic
97	#2086	C₂²	1	1	yes	characteristic
98	#2085	C₂²	1	1	yes	characteristic
99	#2085	C₂²	1	1	yes	characteristic
100	#2083	C₂²	1	1	yes	characteristic
101	#2077	C₂²	1	1	yes	characteristic
102	#2075	C₂²	1	1	yes	characteristic
103	#2074	C₂²	1	1	yes	characteristic
104	#2074	C₂²	1	1	yes	characteristic
105	#2074	C₂²	1	1	yes	characteristic
106	#2073	C₂²	1	1	yes	characteristic
107	#2068	C₂²	1	1	yes	characteristic
108	#2067	C₂²	1	1	yes	characteristic
109	#2066	C₂²	1	1	yes	characteristic
110	#2066	C₂²	1	1	yes	characteristic
111	#2066	C₂²	1	1	yes	characteristic
112	#2066	C₂²	1	1	yes	characteristic
113	#2065	C₂²	1	1	yes	characteristic
114	#2059	C₂²	1	1	yes	characteristic
115	#2056	C₂²	1	1	yes	characteristic
116	#2056	C₂²	1	1	yes	characteristic
117	#2056	C₂²	1	1	yes	characteristic
118	#2055	C₂²	1	1	yes	characteristic
119	#2042	C₂²	1	1	yes	characteristic
120	#2036	C₂²	1	1	yes	characteristic
121	#2035	C₂²	1	1	yes	characteristic
122	#2034	C₂²	1	1	yes	characteristic
123	#2033	C₂²	1	1	yes	characteristic
124	#2026	C₂²	1	1	yes	characteristic
125	#2015	C₂²	1	1	yes	characteristic
126	#1991	C₂²	1	1	yes	characteristic
127	#1983	C₂²	1	1	yes	characteristic
128	#1973	C₂²	1	1	yes	characteristic
129	#1969	C₂²	1	1	yes	characteristic
130	#1949	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	#1942	C₂²	1	1	yes	characteristic
135	#1942	C₂²	1	1	yes	characteristic
136	#1941	C₂²	1	1	yes	characteristic
137	#1940	C₂²	1	1	yes	characteristic
138	#1939	C₂²	1	1	yes	characteristic
139	#1935	C₂²	1	1	yes	characteristic
140	#1933	C₂²	1	1	yes	characteristic
141	#1933	C₂²	1	1	yes	characteristic
142	#1933	C₂²	1	1	yes	characteristic
143	#1933	C₂²	1	1	yes	characteristic
144	#1928	C₂²	1	1	yes	characteristic
145	#1928	C₂²	1	1	yes	characteristic
146	#1926	C₂²	1	1	yes	characteristic
147	#1923	C₂²	1	1	yes	characteristic
148	#1923	C₂²	1	1	yes	characteristic
149	#1923	C₂²	1	1	yes	characteristic
150	#1921	C₂²	1	1	yes	characteristic
151	#1920	C₂²	1	1	yes	characteristic
152	#1919	C₂²	1	1	yes	characteristic
153	#1919	C₂²	1	1	yes	characteristic
154	#1918	C₂²	1	1	yes	characteristic
155	#1917	C₂²	1	1	yes	characteristic
156	#1916	C₂²	1	1	yes	characteristic
157	#1916	C₂²	1	1	yes	characteristic
158	#1895	C₂²	1	1	yes	characteristic
159	#1894	C₂²	1	1	yes	characteristic
160	#1879	C₂²	1	1	yes	characteristic
161	#1879	C₂²	1	1	yes	characteristic
162	#1878	C₂²	1	1	yes	characteristic
163	#1877	C₂²	1	1	yes	characteristic
164	#1877	C₂²	1	1	yes	characteristic
165	#1877	C₂²	1	1	yes	characteristic
166	#1877	C₂²	1	1	yes	characteristic
167	#1877	C₂²	1	1	yes	characteristic
168	#1877	C₂²	1	1	yes	characteristic
169	#1877	C₂²	1	1	yes	characteristic
170	#1864	C₂²	1	1	yes	characteristic
171	#1864	C₂²	1	1	yes	characteristic
172	#1864	C₂²	1	1	yes	characteristic
173	#1864	C₂²	1	1	yes	characteristic
174	#1864	C₂²	1	1	yes	characteristic
175	#1864	C₂²	1	1	yes	characteristic
176	#1864	C₂²	1	1	yes	characteristic
177	#1863	C₂²	1	1	yes	characteristic
178	#1862	C₂²	1	1	yes	characteristic
179	#1862	C₂²	1	1	yes	characteristic
180	#1853	C₂²	1	1	yes	characteristic
181	#1852	C₂²	1	1	yes	characteristic
182	#1851	C₂²	1	1	yes	characteristic
183	#1851	C₂²	1	1	yes	characteristic
184	#1846	C₂²	1	1	yes	characteristic
185	#1836	C₂²	1	1	yes	characteristic
186	#1831	C₂²	1	1	yes	characteristic
187	#1824	C₂²	1	1	yes	characteristic
188	#1809	C₂²	1	1	yes	characteristic
189	#1804	C₂²	1	1	yes	characteristic
190	#1804	C₂²	1	1	yes	characteristic
191	#1804	C₂²	1	1	yes	characteristic
192	#1804	C₂²	1	1	yes	characteristic
193	#1804	C₂²	1	1	yes	characteristic
194	#1804	C₂²	1	1	yes	characteristic
195	#1802	C₂²	1	1	yes	characteristic
196	#1788	C₂²	1	1	yes	characteristic
197	C₈×C₄⋊C₄	C₂²	1	1	yes	characteristic
198	C₄×C₄⋊C₈	C₂²	1	1	yes	characteristic
199	#1762	C₂²	1	1	yes	characteristic
200	C₄×#103	C₂²	1	1	yes	characteristic
201	C₄×#102	C₂²	1	1	yes	characteristic
202	#1753	C₂²	1	1	yes	characteristic
203	C₂²×#41	C₂³	1	1	yes	characteristic
204	C₂²×Q₁₆	C₂³	1	1	yes	characteristic
205	C₂²×SD₁₆	C₂³	1	1	yes	characteristic
206	C₂²×SD₁₆	C₂³	1	1	yes	characteristic
207	C₂²×D₈	C₂³	1	1	yes	characteristic
208	C₂²×M₁₆	C₂³	1	1	yes	characteristic
209	C₂×#126	D₄	1	1	yes	characteristic
210	C₂×#125	C₂³	1	1	yes	characteristic
211	C₂×#124	C₂³	1	1	yes	characteristic
212	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
213	C₂×#121	C₂³	1	1	yes	characteristic
214	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
215	C₂×C₄×D₄	—	2	1	no	—
216	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
217	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
218	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
219	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
220	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
221	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
222	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
223	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
224	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
225	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
226	C₂²×C₄²	—	2	1	no	—
227	#478	—	4	2	no	—
228	#463	—	2	4	no	—
229	#452	—	4	2	no	—
230	#449	—	2	4	no	—
231	C₄×SD₁₆	—	4	2	no	—
232	C₄×D₈	—	2	4	no	—
233	C₄×D₈	—	4	2	no	—
234	C₄×D₈	—	4	2	no	—
235	C₂×#107	C₂³	1	1	yes	characteristic
236	C₂×#107	C₂³	1	1	yes	characteristic
237	C₂×#107	C₂³	1	1	yes	characteristic
238	C₂×#107	C₂³	1	1	yes	characteristic
239	C₂×#107	C₂³	1	1	yes	characteristic
240	C₂×#107	C₂³	1	1	yes	characteristic
241	C₂×#106	C₂³	1	1	yes	characteristic
242	C₂×#106	C₂³	1	1	yes	characteristic
243	C₂×#106	C₂³	1	1	yes	characteristic
244	C₂×#106	C₂³	1	1	yes	characteristic
245	C₂×#106	C₂³	1	1	yes	characteristic
246	C₂×#106	C₂³	1	1	yes	characteristic
247	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
248	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
249	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
250	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
251	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
252	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
253	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
254	#417	—	4	2	no	—
255	C₂×#103	C₂³	1	1	yes	characteristic
256	C₂×#103	C₂³	1	1	yes	characteristic
257	C₂×#103	C₂³	1	1	yes	characteristic
258	C₂×#103	C₂³	1	1	yes	characteristic
259	C₂×#103	C₂³	1	1	yes	characteristic
260	C₂×#103	C₂³	1	1	yes	characteristic
261	C₂×#103	C₂³	1	1	yes	characteristic
262	C₂×#103	C₂³	1	1	yes	characteristic
263	C₂×#103	C₂³	1	1	yes	characteristic
264	C₂×#103	C₂³	1	1	yes	characteristic
265	C₂×#103	C₂³	1	1	yes	characteristic
266	C₂×#103	C₂³	1	1	yes	characteristic
267	C₂×#102	C₂³	1	1	yes	characteristic
268	C₂×#102	C₂³	1	1	yes	characteristic
269	C₂×#102	C₂³	1	1	yes	characteristic
270	C₂×#102	C₂³	1	1	yes	characteristic
271	C₂×#102	C₂³	1	1	yes	characteristic
272	C₂×#102	C₂³	1	1	yes	characteristic
273	C₂×#102	C₂³	1	1	yes	characteristic
274	C₂×#102	C₂³	1	1	yes	characteristic
275	C₂×#102	C₂³	1	1	yes	characteristic
276	C₂×#102	C₂³	1	1	yes	characteristic
277	C₂×#102	C₂³	1	1	yes	characteristic
278	C₂×#102	C₂³	1	1	yes	characteristic
279	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
280	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
281	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
282	C₂×#97	C₂³	1	1	yes	characteristic
283	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
284	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
285	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
286	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
287	#401	—	2	1	no	—
288	#401	—	2	1	no	—
289	#401	—	2	1	no	—
290	#401	—	2	1	no	—
291	#400	—	2	1	no	—
292	#400	—	2	1	no	—
293	#400	—	2	1	no	—
294	#400	—	2	1	no	—
295	#400	—	2	1	no	—
296	#400	—	2	1	no	—
297	#400	—	2	1	no	—
298	#400	—	2	1	no	—
299	#400	—	2	1	no	—
300	#400	—	2	1	no	—
301	#400	—	2	1	no	—
302	#400	—	2	1	no	—
303	#400	—	2	1	no	—
304	#399	—	2	1	no	—
305	#398	—	2	1	no	—
306	#398	—	2	1	no	—
307	#398	—	2	1	no	—
308	#397	—	2	1	no	—
309	#397	—	2	1	no	—
310	#397	—	2	1	no	—
311	#397	—	2	1	no	—
312	#397	—	2	1	no	—
313	#397	—	2	1	no	—
314	#397	—	2	1	no	—
315	#396	—	2	1	no	—
316	#396	—	2	1	no	—
317	#394	—	2	1	no	—
318	#394	—	2	1	no	—
319	#391	C₂³	1	1	yes	characteristic
320	#391	C₂³	1	1	yes	characteristic
321	#391	C₂³	1	1	yes	characteristic
322	#391	C₂³	1	1	yes	characteristic
323	#391	C₂³	1	1	yes	characteristic
324	#391	C₂³	1	1	yes	characteristic
325	#391	C₂³	1	1	yes	characteristic
326	#391	C₂³	1	1	yes	characteristic
327	#391	C₂³	1	1	yes	characteristic
328	#391	C₂³	1	1	yes	characteristic
329	#390	C₂³	1	1	yes	characteristic
330	#390	C₂³	1	1	yes	characteristic
331	#389	—	2	1	no	—
332	#389	—	2	1	no	—
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	#389	C₂³	1	1	yes	characteristic
339	#389	C₂³	1	1	yes	characteristic
340	#389	C₂³	1	1	yes	characteristic
341	#389	C₂³	1	1	yes	characteristic
342	#389	C₂³	1	1	yes	characteristic
343	#389	C₂³	1	1	yes	characteristic
344	#389	C₂³	1	1	yes	characteristic
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	D₄	1	1	yes	characteristic
353	#388	D₄	1	1	yes	characteristic
354	#388	D₄	1	1	yes	characteristic
355	#387	—	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	D₄	1	1	yes	characteristic
369	#387	D₄	1	1	yes	characteristic
370	#387	D₄	1	1	yes	characteristic
371	#386	—	2	1	no	—
372	#386	—	2	1	no	—
373	#386	—	2	1	no	—
374	#386	—	2	1	no	—
375	#386	—	2	1	no	—
376	#386	—	2	1	no	—
377	#386	—	2	1	no	—
378	#386	—	2	1	no	—
379	#386	—	2	1	no	—
380	#385	—	2	1	no	—
381	#385	—	2	1	no	—
382	#385	—	2	1	no	—
383	#385	—	2	1	no	—
384	#385	—	2	1	no	—
385	#385	—	2	1	no	—
386	#385	—	2	1	no	—
387	#385	—	2	1	no	—
388	#385	—	2	1	no	—
389	#385	—	2	1	no	—
390	#385	—	2	1	no	—
391	#385	—	2	1	no	—
392	#385	—	2	1	no	—
393	#384	C₂³	1	1	yes	characteristic
394	#383	—	2	1	no	—
395	#383	—	2	1	no	—
396	#383	—	2	1	no	—
397	#383	—	2	1	no	—
398	#383	—	2	1	no	—
399	#383	—	2	1	no	—
400	#383	—	2	1	no	—
401	#383	—	2	1	no	—
402	#383	D₄	1	1	yes	characteristic
403	#382	—	2	1	no	—
404	#382	C₂³	1	1	yes	characteristic
405	#382	C₂³	1	1	yes	characteristic
406	#382	C₂³	1	1	yes	characteristic
407	#382	C₂³	1	1	yes	characteristic
408	#382	C₂³	1	1	yes	characteristic
409	#382	C₂³	1	1	yes	characteristic
410	#382	C₂³	1	1	yes	characteristic
411	#381	—	2	1	no	—
412	#381	—	2	1	no	—
413	#381	—	2	1	no	—
414	#381	—	2	1	no	—
415	#381	—	2	1	no	—
416	#381	—	2	1	no	—
417	#381	—	2	1	no	—
418	#380	—	2	1	no	—
419	#380	—	2	1	no	—
420	#380	—	2	1	no	—
421	#380	—	2	1	no	—
422	#380	—	2	1	no	—
423	#380	—	2	1	no	—
424	#380	C₂³	1	1	yes	characteristic
425	#380	C₂³	1	1	yes	characteristic
426	#380	C₂³	1	1	yes	characteristic
427	#380	C₂³	1	1	yes	characteristic
428	C₄×C₄⋊C₄	C₂³	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×C₂²⋊C₄	—	2	1	no	—
436	C₄×C₂²⋊C₄	—	2	1	no	—
437	C₄×C₂²⋊C₄	—	2	1	no	—
438	C₄×C₂²⋊C₄	—	2	1	no	—
439	C₄×C₂²⋊C₄	—	2	1	no	—
440	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
441	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
442	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
443	C₂×#95	—	2	1	no	—
444	C₂×#95	—	2	1	no	—
445	C₂×#95	—	2	1	no	—
446	C₂×#95	—	2	1	no	—
447	C₂×#95	—	2	1	no	—
448	C₂×#95	—	2	1	no	—
449	C₂×#95	—	2	1	no	—
450	C₄³	C₂³	1	1	yes	characteristic
451	#340	C₂³	1	1	yes	characteristic
452	#340	C₂³	1	1	yes	characteristic
453	#340	C₂³	1	1	yes	characteristic
454	#340	C₂³	1	1	yes	characteristic
455	#340	C₂³	1	1	yes	characteristic
456	#340	C₂³	1	1	yes	characteristic
457	#340	C₂³	1	1	yes	characteristic
458	#340	C₂³	1	1	yes	characteristic
459	#340	C₂³	1	1	yes	characteristic
460	#340	C₂³	1	1	yes	characteristic
461	#340	C₂³	1	1	yes	characteristic
462	#340	C₂³	1	1	yes	characteristic
463	#340	C₂³	1	1	yes	characteristic
464	#340	C₂³	1	1	yes	characteristic
465	#340	C₂³	1	1	yes	characteristic
466	#340	C₂³	1	1	yes	characteristic
467	#340	C₂³	1	1	yes	characteristic
468	#340	C₂³	1	1	yes	characteristic
469	#340	C₂³	1	1	yes	characteristic
470	#340	C₂³	1	1	yes	characteristic
471	#340	C₂³	1	1	yes	characteristic
472	#340	C₂³	1	1	yes	characteristic
473	#340	C₂³	1	1	yes	characteristic
474	#340	C₂³	1	1	yes	characteristic
475	#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	#336	C₂³	1	1	yes	characteristic
481	#336	C₂³	1	1	yes	characteristic
482	#336	C₂³	1	1	yes	characteristic
483	#336	C₂³	1	1	yes	characteristic
484	#336	C₂³	1	1	yes	characteristic
485	#336	C₂³	1	1	yes	characteristic
486	#336	C₂³	1	1	yes	characteristic
487	C₂×#41	—	2	2	no	—
488	C₂×#41	—	2	2	no	—
489	C₂×#41	—	2	2	no	—
490	C₂×#41	—	4	1	no	—
491	C₂×#41	—	4	1	no	—
492	C₂×#41	—	4	1	no	—
493	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
494	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
495	C₂²×D₄	—	2	1	no	—
496	C₂²×D₄	—	2	1	no	—
497	C₂²×D₄	C₂⁴	1	1	yes	characteristic
498	C₂²×D₄	C₂⁴	1	1	yes	characteristic
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	C₂³×C₄	—	2	1	no	—
505	C₂³×C₄	—	2	1	no	—
506	C₂³×C₄	—	2	1	no	—
507	C₂³×C₄	—	2	1	no	—
508	C₂³×C₄	—	2	1	no	—
509	C₂³×C₄	—	2	1	no	—
510	C₂³×C₄	C₂⁴	1	1	yes	characteristic
511	C₂×Q₁₆	—	4	1	no	—
512	C₂×Q₁₆	—	4	1	no	—
513	C₂×Q₁₆	—	4	1	no	—
514	C₂×SD₁₆	—	2	2	no	—
515	C₂×SD₁₆	—	2	2	no	—
516	C₂×SD₁₆	—	2	2	no	—
517	C₂×SD₁₆	—	2	2	no	—
518	C₂×SD₁₆	—	4	1	no	—
519	C₂×SD₁₆	—	4	1	no	—
520	C₂×D₈	—	2	2	no	—
521	C₂×D₈	—	2	2	no	—
522	C₂×D₈	#41	1	4	yes	—
523	C₂×M₁₆	—	4	1	no	—
524	C₂×M₁₆	—	4	1	no	—
525	C₂×M₁₆	—	4	1	no	—
526	C₂²×C₈	C₂⁴	1	1	yes	characteristic
527	C₂²×C₈	C₂⁴	1	1	yes	characteristic
528	C₂²×C₈	C₂⁴	1	1	yes	characteristic
529	C₂²×C₈	C₂⁴	1	1	yes	characteristic
530	C₂²×C₈	C₂⁴	1	1	yes	characteristic
531	C₂²×C₈	C₂⁴	1	1	yes	characteristic
532	C₂²×C₈	C₂⁴	1	1	yes	characteristic
533	C₂²×C₈	C₂⁴	1	1	yes	characteristic
534	#126	—	4	2	no	—
535	#125	—	4	1	no	—
536	#125	—	4	1	no	—
537	#124	—	2	2	no	—
538	#124	—	4	1	no	—
539	C₂²⋊Q₈	—	4	1	no	—
540	C₂²⋊Q₈	—	4	1	no	—
541	#121	—	2	2	no	—
542	#121	—	4	1	no	—
543	C₄×Q₈	—	4	1	no	—
544	C₄×Q₈	—	4	1	no	—
545	C₄×D₄	—	2	2	no	—
546	C₄×D₄	—	2	2	no	—
547	C₄×D₄	—	2	2	no	—
548	C₄×D₄	—	2	2	no	—
549	C₄×D₄	—	2	2	no	—
550	C₄×D₄	—	2	2	no	—
551	C₄×D₄	—	2	2	no	—
552	C₄×D₄	—	4	1	no	—
553	C₄×D₄	—	4	1	no	—
554	C₄×D₄	—	4	1	no	—
555	C₄×D₄	—	4	1	no	—
556	C₄×D₄	—	4	1	no	—
557	C₄×D₄	—	4	1	no	—
558	C₄×D₄	—	4	1	no	—
559	C₄×D₄	—	4	1	no	—
560	C₄×D₄	—	4	1	no	—
561	C₄×D₄	—	4	1	no	—
562	C₄×D₄	—	4	1	no	—
563	C₄×D₄	—	4	4	no	—
564	C₂×C₄⋊C₄	—	2	1	no	—
565	C₂×C₄⋊C₄	—	2	1	no	—
566	C₂×C₄⋊C₄	—	2	1	no	—
567	C₂×C₄⋊C₄	—	2	1	no	—
568	C₂×C₄⋊C₄	—	2	1	no	—
569	C₂×C₄⋊C₄	—	2	1	no	—
570	C₂×C₄⋊C₄	—	2	1	no	—
571	C₂×C₄⋊C₄	—	2	1	no	—
572	C₂×C₄⋊C₄	—	2	1	no	—
573	C₂×C₄⋊C₄	—	2	1	no	—
574	C₂×C₄⋊C₄	—	2	1	no	—
575	C₂×C₄⋊C₄	—	2	1	no	—
576	C₂×C₄⋊C₄	—	2	1	no	—
577	C₂×C₄⋊C₄	—	2	1	no	—
578	C₂×C₄⋊C₄	—	2	1	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	—	4	1	no	—
584	C₂×C₄⋊C₄	—	4	1	no	—
585	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
586	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
587	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
588	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
589	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
590	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
591	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
592	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
593	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
594	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
595	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
596	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
597	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
598	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
599	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
600	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
601	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
602	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
603	C₂×C₂²⋊C₄	—	2	1	no	—
604	C₂×C₂²⋊C₄	—	2	1	no	—
605	C₂×C₂²⋊C₄	—	2	1	no	—
606	C₂×C₂²⋊C₄	—	2	1	no	—
607	C₂×C₂²⋊C₄	—	2	1	no	—
608	C₂×C₂²⋊C₄	—	2	1	no	—
609	C₂×C₂²⋊C₄	—	2	1	no	—
610	C₂×C₂²⋊C₄	—	2	1	no	—
611	C₂×C₂²⋊C₄	—	2	1	no	—
612	C₂×C₂²⋊C₄	—	2	1	no	—
613	C₂×C₂²⋊C₄	—	2	1	no	—
614	C₂×C₂²⋊C₄	—	2	1	no	—
615	C₂×C₂²⋊C₄	—	2	1	no	—
616	C₂×C₂²⋊C₄	—	2	1	no	—
617	C₂×C₂²⋊C₄	—	2	1	no	—
618	C₂×C₂²⋊C₄	—	2	1	no	—
619	C₂×C₂²⋊C₄	—	2	1	no	—
620	C₂×C₂²⋊C₄	—	2	1	no	—
621	C₂×C₂²⋊C₄	—	2	1	no	—
622	C₂×C₂²⋊C₄	—	2	1	no	—
623	C₂×C₂²⋊C₄	—	2	1	no	—
624	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
625	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
626	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
627	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
628	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
629	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
630	C₂×C₄²	—	2	1	no	—
631	C₂×C₄²	—	2	1	no	—
632	C₂×C₄²	—	2	1	no	—
633	C₂×C₄²	—	2	1	no	—
634	C₂×C₄²	—	2	1	no	—
635	C₂×C₄²	—	4	4	no	—
636	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
637	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
638	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
639	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
640	C₂×C₄²	C₂⁴	1	1	yes	characteristic
641	C₂×C₄²	C₂⁴	1	1	yes	characteristic
642	C₂×C₄²	C₂⁴	1	1	yes	characteristic
643	C₂×C₄²	C₂⁴	1	1	yes	characteristic
644	C₂×C₄²	C₂⁴	1	1	yes	characteristic
645	C₂×C₄²	C₂⁴	1	1	yes	characteristic
646	#107	—	2	2	no	—
647	#107	—	4	1	no	—
648	#107	—	4	1	no	—
649	#107	—	4	1	no	—
650	#107	—	4	1	no	—
651	#107	—	4	1	no	—
652	#106	—	4	1	no	—
653	#106	—	4	1	no	—
654	#106	—	4	1	no	—
655	#106	—	4	1	no	—
656	#106	—	4	1	no	—
657	#106	—	4	1	no	—
658	C₄⋊C₈	—	2	2	no	—
659	C₄⋊C₈	—	4	1	no	—
660	C₄⋊C₈	—	4	1	no	—
661	C₄⋊C₈	—	4	1	no	—
662	C₄⋊C₈	—	4	1	no	—
663	C₄⋊C₈	—	4	1	no	—
664	C₄⋊C₈	—	4	1	no	—
665	#103	—	2	2	no	—
666	#103	—	2	2	no	—
667	#103	—	4	1	no	—
668	#103	—	4	1	no	—
669	#103	—	4	1	no	—
670	#103	—	4	1	no	—
671	#103	—	4	1	no	—
672	#103	—	4	1	no	—
673	#103	—	4	1	no	—
674	#103	—	4	1	no	—
675	#103	—	4	1	no	—
676	#103	—	4	1	no	—
677	#102	—	2	2	no	—
678	#102	—	2	2	no	—
679	#102	—	2	2	no	—
680	#102	—	2	2	no	—
681	#102	—	2	2	no	—
682	#102	—	2	2	no	—
683	#102	—	2	2	no	—
684	#102	—	2	2	no	—
685	#102	—	4	1	no	—
686	#102	—	4	1	no	—
687	#102	—	4	1	no	—
688	#102	—	4	1	no	—
689	C₂²⋊C₈	—	2	2	no	—
690	C₂²⋊C₈	—	4	1	no	—
691	C₂²⋊C₈	—	4	1	no	—
692	#97	—	4	1	no	—
693	C₄×C₈	—	2	2	no	—
694	C₄×C₈	—	4	1	no	—
695	C₄×C₈	—	4	1	no	—
696	C₄×C₈	—	4	1	no	—
697	#95	—	2	1	no	—
698	#95	—	2	1	no	—
699	#95	—	2	1	no	—
700	#95	—	2	1	no	—
701	#95	—	2	1	no	—
702	#95	—	2	1	no	—
703	#95	—	2	1	no	—
704	#95	—	2	1	no	—
705	#95	—	2	1	no	—
706	#95	—	2	1	no	—
707	#95	—	2	1	no	—
708	#95	—	2	1	no	—
709	#95	—	2	1	no	—
710	#95	—	2	1	no	—
711	#95	—	2	1	no	—
712	#95	—	2	1	no	—
713	#95	—	2	1	no	—
714	#95	—	2	1	no	—
715	#95	—	2	1	no	—
716	#95	—	2	1	no	—
717	#95	—	2	1	no	—
718	#95	—	2	1	no	—
719	#95	—	2	1	no	—
720	#95	—	2	1	no	—
721	#95	—	2	1	no	—
722	#95	—	2	1	no	—
723	#95	—	2	1	no	—
724	#95	—	2	1	no	—
725	#95	—	2	1	no	—
726	#95	—	2	1	no	—
727	#95	—	2	1	no	—
728	#95	—	2	1	no	—
729	#95	—	2	1	no	—
730	#95	—	2	1	no	—
731	#95	—	2	1	no	—
732	#95	—	2	1	no	—
733	#95	—	2	1	no	—
734	#95	—	2	1	no	—
735	#95	—	2	1	no	—
736	#95	—	2	1	no	—
737	#95	—	2	1	no	—
738	#95	—	2	1	no	—
739	#95	—	2	1	no	—
740	#95	—	2	1	no	—
741	#95	—	2	1	no	—
742	#95	—	2	1	no	—
743	#95	—	2	1	no	—
744	#95	—	2	1	no	—
745	#95	—	2	1	no	—
746	#95	—	2	1	no	—
747	#95	—	2	1	no	—
748	#95	—	2	1	no	—
749	#95	—	2	1	no	—
750	#95	—	2	1	no	—
751	#95	C₂×D₄	1	1	yes	characteristic
752	#95	C₂×D₄	1	1	yes	characteristic
753	#95	C₂×D₄	1	1	yes	characteristic
754	#95	C₂×D₄	1	1	yes	characteristic
755	#95	C₂×D₄	1	1	yes	characteristic
756	#95	C₂×D₄	1	1	yes	characteristic
757	#95	C₂×D₄	1	1	yes	characteristic
758	#95	C₂×D₄	1	1	yes	characteristic
759	#95	C₂×D₄	1	1	yes	characteristic
760	#95	C₂×D₄	1	1	yes	characteristic
761	#95	C₂×D₄	1	1	yes	characteristic
762	#95	C₂×D₄	1	1	yes	characteristic
763	C₂⁴	—	2	1	no	—
764	C₂⁴	—	2	1	no	—
765	C₂⁴	C₂²×D₄	1	1	yes	characteristic
766	#41	—	4	4	no	—
767	#41	—	8	2	no	—
768	#41	—	8	2	no	—
769	#41	—	8	2	no	—
770	C₂×Q₈	—	2	1	no	—
771	C₂×Q₈	—	2	1	no	—
772	C₂×Q₈	—	2	1	no	—
773	C₂×Q₈	—	2	1	no	—
774	C₂×Q₈	—	2	1	no	—
775	C₂×Q₈	—	2	1	no	—
776	C₂×Q₈	—	2	1	no	—
777	C₂×Q₈	—	2	1	no	—
778	C₂×Q₈	—	2	1	no	—
779	C₂×Q₈	—	2	1	no	—
780	C₂×Q₈	—	2	1	no	—
781	C₂×Q₈	—	2	1	no	—
782	C₂×D₄	—	2	1	no	—
783	C₂×D₄	—	2	1	no	—
784	C₂×D₄	—	2	1	no	—
785	C₂×D₄	—	2	1	no	—
786	C₂×D₄	—	2	1	no	—
787	C₂×D₄	—	2	1	no	—
788	C₂×D₄	—	2	1	no	—
789	C₂×D₄	—	2	1	no	—
790	C₂×D₄	—	4	2	no	—
791	C₂×D₄	—	4	2	no	—
792	C₂×D₄	—	4	2	no	—
793	C₂×D₄	—	4	2	no	—
794	C₂×D₄	—	4	2	no	—
795	C₂×D₄	—	8	1	no	—
796	C₂×D₄	C₂×#41	1	2	yes	—
797	C₂×D₄	C₂×#41	1	2	yes	—
798	C₂×D₄	H(5,𝔽₂)	1	2	yes	—
799	C₂×D₄	2₋¹⁺⁴	1	2	yes	—
800	C₂²×C₄	—	2	1	no	—
801	C₂²×C₄	—	2	1	no	—
802	C₂²×C₄	—	2	1	no	—
803	C₂²×C₄	—	2	1	no	—
804	C₂²×C₄	—	2	1	no	—
805	C₂²×C₄	—	2	1	no	—
806	C₂²×C₄	—	2	1	no	—
807	C₂²×C₄	—	2	1	no	—
808	C₂²×C₄	—	2	1	no	—
809	C₂²×C₄	—	2	1	no	—
810	C₂²×C₄	—	2	1	no	—
811	C₂²×C₄	—	2	1	no	—
812	C₂²×C₄	—	2	1	no	—
813	C₂²×C₄	—	2	1	no	—
814	C₂²×C₄	—	2	1	no	—
815	C₂²×C₄	—	2	1	no	—
816	C₂²×C₄	—	2	1	no	—
817	C₂²×C₄	—	2	1	no	—
818	C₂²×C₄	—	2	1	no	—
819	C₂²×C₄	—	2	1	no	—
820	C₂²×C₄	—	4	2	no	—
821	C₂²×C₄	—	4	2	no	—
822	C₂²×C₄	—	4	2	no	—
823	C₂²×C₄	—	4	2	no	—
824	C₂²×C₄	—	4	2	no	—
825	C₂²×C₄	—	4	2	no	—
826	C₂²×C₄	—	4	2	no	—
827	C₂²×C₄	—	4	2	no	—
828	C₂²×C₄	—	4	2	no	—
829	C₂²×C₄	—	4	2	no	—
830	C₂²×C₄	—	4	2	no	—
831	C₂²×C₄	—	4	2	no	—
832	C₂²×C₄	—	4	2	no	—
833	C₂²×C₄	—	4	2	no	—
834	C₂²×C₄	—	4	2	no	—
835	C₂²×C₄	—	8	1	no	—
836	C₂²×C₄	—	8	1	no	—
837	C₂²×C₄	—	8	1	no	—
838	C₂²×C₄	—	8	1	no	—
839	C₂²×C₄	—	8	1	no	—
840	C₂²×C₄	—	8	1	no	—
841	C₂²×C₄	—	8	1	no	—
842	C₂²×C₄	—	8	1	no	—
843	C₂²×C₄	—	8	1	no	—
844	C₂²×C₄	—	8	1	no	—
845	C₂²×C₄	—	8	1	no	—
846	C₂²×C₄	—	8	1	no	—
847	C₂²×C₄	—	8	1	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	C₂²×D₄	1	1	yes	characteristic
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	C₂⁵	1	1	yes	characteristic
867	Q₁₆	—	8	2	no	—
868	SD₁₆	—	4	4	no	—
869	SD₁₆	—	8	2	no	—
870	D₈	—	2	8	no	—
871	M₁₆	—	8	2	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	C₂×#41	1	2	yes	—
896	C₄⋊C₄	—	2	2	no	—
897	C₄⋊C₄	—	2	1	no	—
898	C₄⋊C₄	—	2	1	no	—
899	C₄⋊C₄	—	2	1	no	—
900	C₄⋊C₄	—	2	1	no	—
901	C₄⋊C₄	—	2	1	no	—
902	C₄⋊C₄	—	2	1	no	—
903	C₄⋊C₄	—	2	1	no	—
904	C₄⋊C₄	—	2	1	no	—
905	C₄⋊C₄	—	2	1	no	—
906	C₄⋊C₄	—	2	1	no	—
907	C₄⋊C₄	—	2	1	no	—
908	C₄⋊C₄	—	2	1	no	—
909	C₄⋊C₄	—	2	1	no	—
910	C₄⋊C₄	—	2	1	no	—
911	C₄⋊C₄	—	2	1	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	—	4	1	no	—
922	C₄⋊C₄	—	4	1	no	—
923	C₄⋊C₄	—	4	1	no	—
924	C₄⋊C₄	—	4	1	no	—
925	C₄⋊C₄	—	4	1	no	—
926	C₄⋊C₄	—	4	2	no	—
927	C₄⋊C₄	—	8	1	no	—
928	C₄⋊C₄	—	8	1	no	—
929	C₄⋊C₄	—	8	1	no	—
930	C₄⋊C₄	—	8	1	no	—
931	C₄⋊C₄	—	8	1	no	—
932	C₄⋊C₄	—	8	1	no	—
933	C₄⋊C₄	—	8	1	no	—
934	C₄⋊C₄	—	8	1	no	—
935	C₄⋊C₄	—	8	1	no	—
936	C₄⋊C₄	—	8	1	no	—
937	C₄⋊C₄	—	8	1	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	C₂²⋊C₄	—	2	2	no	—
946	C₂²⋊C₄	—	4	1	no	—
947	C₂²⋊C₄	—	4	1	no	—
948	C₂²⋊C₄	—	4	1	no	—
949	C₂²⋊C₄	—	4	1	no	—
950	C₂²⋊C₄	—	4	1	no	—
951	C₂²⋊C₄	—	4	2	no	—
952	C₂²⋊C₄	—	4	2	no	—
953	C₂²⋊C₄	—	4	2	no	—
954	C₂²⋊C₄	—	4	2	no	—
955	C₂²⋊C₄	—	4	2	no	—
956	C₂²⋊C₄	—	4	2	no	—
957	C₂²⋊C₄	—	4	2	no	—
958	C₂²⋊C₄	—	4	2	no	—
959	C₂²⋊C₄	—	4	2	no	—
960	C₂²⋊C₄	—	4	2	no	—
961	C₂²⋊C₄	—	4	2	no	—
962	C₂²⋊C₄	—	8	1	no	—
963	C₂²⋊C₄	—	8	1	no	—
964	C₂²⋊C₄	—	8	1	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	C₄²	—	2	2	no	—
973	C₄²	—	2	1	no	—
974	C₄²	—	2	1	no	—
975	C₄²	—	2	1	no	—
976	C₄²	—	2	1	no	—
977	C₄²	—	2	1	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	—	2	1	no	—
985	C₄²	—	4	1	no	—
986	C₄²	—	4	1	no	—
987	C₄²	—	4	1	no	—
988	C₄²	—	4	2	no	—
989	C₄²	—	4	2	no	—
990	C₄²	—	4	2	no	—
991	C₄²	—	4	2	no	—
992	C₄²	—	8	1	no	—
993	C₂³	—	2	2	no	—
994	C₂³	—	2	2	no	—
995	C₂³	—	2	2	no	—
996	C₂³	—	2	1	no	—
997	C₂³	—	2	1	no	—
998	C₂³	—	2	1	no	—
999	C₂³	—	2	2	no	—
1000	C₂³	—	2	1	no	—
1001	C₂³	—	2	1	no	—
1002	C₂³	—	2	1	no	—
1003	C₂³	—	2	1	no	—
1004	C₂³	—	4	1	no	—
1005	C₂³	—	4	1	no	—
1006	C₂³	—	4	1	no	—
1007	C₂³	—	4	1	no	—
1008	C₂³	—	4	1	no	—
1009	C₂³	—	4	1	no	—
1010	C₂³	—	4	1	no	—
1011	C₂³	—	4	1	no	—
1012	C₂³	—	4	1	no	—
1013	C₂³	—	4	1	no	—
1014	C₂³	C₂³×D₄	1	1	yes	characteristic
1015	Q₈	—	4	1	no	—
1016	Q₈	—	4	1	no	—
1017	Q₈	—	4	1	no	—
1018	Q₈	—	4	1	no	—
1019	Q₈	—	4	1	no	—
1020	Q₈	—	4	1	no	—
1021	Q₈	—	4	1	no	—
1022	Q₈	—	4	1	no	—
1023	D₄	—	2	2	no	—
1024	D₄	—	2	2	no	—
1025	D₄	—	2	2	no	—
1026	D₄	—	2	2	no	—
1027	D₄	—	2	2	no	—
1028	D₄	—	4	1	no	—
1029	D₄	—	4	1	no	—
1030	D₄	—	8	4	no	—
1031	D₄	—	8	4	no	—
1032	D₄	#539	1	4	yes	—
1033	C₂×C₄	—	2	1	no	—
1034	C₂×C₄	—	2	1	no	—
1035	C₂×C₄	—	2	1	no	—
1036	C₂×C₄	—	2	1	no	—
1037	C₂×C₄	—	2	1	no	—
1038	C₂×C₄	—	2	1	no	—
1039	C₂×C₄	—	2	1	no	—
1040	C₂×C₄	—	2	1	no	—
1041	C₂×C₄	—	2	1	no	—
1042	C₂×C₄	—	2	1	no	—
1043	C₂×C₄	—	2	1	no	—
1044	C₂×C₄	—	2	1	no	—
1045	C₂×C₄	—	2	1	no	—
1046	C₂×C₄	—	2	1	no	—
1047	C₂×C₄	—	2	1	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	—	4	1	no	—
1072	C₂×C₄	—	4	1	no	—
1073	C₂×C₄	—	4	1	no	—
1074	C₂×C₄	—	4	1	no	—
1075	C₂×C₄	—	4	1	no	—
1076	C₂×C₄	—	4	1	no	—
1077	C₂×C₄	—	4	1	no	—
1078	C₂×C₄	—	4	1	no	—
1079	C₂×C₄	—	4	1	no	—
1080	C₂×C₄	—	4	1	no	—
1081	C₂×C₄	—	4	1	no	—
1082	C₂×C₄	—	4	1	no	—
1083	C₂×C₄	—	4	1	no	—
1084	C₂×C₄	—	4	1	no	—
1085	C₂×C₄	—	4	1	no	—
1086	C₂×C₄	—	4	1	no	—
1087	C₂×C₄	—	4	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	—	8	4	no	—
1118	C₂×C₄	—	8	4	no	—
1119	C₂×C₄	—	8	4	no	—
1120	C₂×C₄	—	8	4	no	—
1121	C₂×C₄	—	16	2	no	—
1122	C₂×C₄	—	16	2	no	—
1123	C₂×C₄	—	16	2	no	—
1124	C₂×C₄	—	16	2	no	—
1125	C₂×C₄	—	16	2	no	—
1126	C₂×C₄	—	16	2	no	—
1127	C₂×C₄	—	16	2	no	—
1128	C₂×C₄	#575	1	2	yes	—
1129	C₂×C₄	C₂²×#41	1	1	yes	characteristic
1130	C₂×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1131	C₂×C₄	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1132	C₂×C₄	#585	1	1	yes	characteristic
1133	C₂×C₄	#585	1	1	yes	characteristic
1134	C₂×C₄	#585	1	1	yes	characteristic
1135	C₈	—	2	2	no	—
1136	C₈	—	4	1	no	—
1137	C₈	—	4	1	no	—
1138	C₈	—	4	1	no	—
1139	C₈	—	4	1	no	—
1140	C₈	—	4	1	no	—
1141	C₈	—	4	1	no	—
1142	C₈	—	4	1	no	—
1143	C₂²	—	2	4	no	—
1144	C₂²	—	4	2	no	—
1145	C₂²	—	4	2	no	—
1146	C₂²	—	4	2	no	—
1147	C₂²	—	4	2	no	—
1148	C₂²	—	4	2	no	—
1149	C₂²	—	4	2	no	—
1150	C₂²	—	4	1	no	—
1151	C₂²	—	4	1	no	—
1152	C₂²	—	4	2	no	—
1153	C₂²	—	4	1	no	—
1154	C₂²	—	4	2	no	—
1155	C₂²	—	4	1	no	—
1156	C₂²	—	4	1	no	—
1157	C₂²	—	4	2	no	—
1158	C₂²	—	4	1	no	—
1159	C₂²	—	4	1	no	—
1160	C₂²	—	8	1	no	—
1161	C₂²	—	8	1	no	—
1162	C₂²	—	8	1	no	—
1163	C₂²	—	8	1	no	—
1164	C₂²	D₄×#41	1	1	yes	characteristic
1165	C₂²	#3488	1	1	yes	characteristic
1166	C₂²	#3489	1	1	yes	characteristic
1167	C₂²	C₂×#575	1	1	yes	characteristic
1168	C₂²	#3584	1	1	yes	characteristic
1169	C₂²	#3584	1	1	yes	characteristic
1170	C₂²	#3584	1	1	yes	characteristic
1171	C₄	—	2	2	no	—
1172	C₄	—	4	1	no	—
1173	C₄	—	4	1	no	—
1174	C₄	—	4	1	no	—
1175	C₄	—	4	1	no	—
1176	C₄	—	4	1	no	—
1177	C₄	—	4	1	no	—
1178	C₄	—	4	1	no	—
1179	C₄	—	4	1	no	—
1180	C₄	—	4	1	no	—
1181	C₄	—	4	1	no	—
1182	C₄	—	4	1	no	—
1183	C₄	—	4	1	no	—
1184	C₄	—	8	1	no	—
1185	C₄	—	8	1	no	—
1186	C₄	—	8	1	no	—
1187	C₄	—	8	1	no	—
1188	C₄	—	8	1	no	—
1189	C₄	—	8	1	no	—
1190	C₄	—	8	1	no	—
1191	C₄	—	8	1	no	—
1192	C₄	—	8	1	no	—
1193	C₄	—	8	1	no	—
1194	C₄	—	8	1	no	—
1195	C₄	—	8	1	no	—
1196	C₄	—	8	1	no	—
1197	C₄	—	8	1	no	—
1198	C₄	C₂×#539	1	1	yes	characteristic
1199	C₄	#3521	1	1	yes	characteristic
1200	C₄	#3560	1	1	yes	characteristic
1201	C₄	#3564	1	1	yes	characteristic
1202	C₂	—	4	4	no	—
1203	C₂	—	8	1	no	—
1204	C₂	—	8	2	no	—
1205	C₂	#37724	1	1	yes	characteristic
1206	C₂	#61442	1	1	yes	characteristic
1207	C₂	#61487	1	1	yes	characteristic
1208	C₂	#61990	1	1	yes	characteristic
1209	C₂	#62060	1	1	yes	characteristic
1210	C₂	#62152	1	1	yes	characteristic
1211	C₂	#62208	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³	C₂³×D₄
commutator, Frattini, cosocle	C₂²×C₄	C₂⁵
prime radical	C₂×#449	C₂²
LCS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³ ◁ C₄×#126 ◁ G
LECS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁

Complements

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

N	H ≅ G/N	type
1. #39008	C₂	semidirect
2. #36166	C₂	semidirect
3. #33070	C₂	semidirect
4. #32528	C₂	semidirect
5. #32445	C₂	semidirect
6. #32387	C₂	semidirect
7. #32286	C₂	semidirect
8. #31921	C₂	semidirect
9. #31633	C₂	semidirect
10. #31515	C₂	semidirect
11. #31432	C₂	semidirect
12. #30380	C₂	semidirect
13. #30136	C₂	semidirect
14. #29074	C₂	semidirect
15. #28859	C₂	semidirect
16. #27579	C₂	semidirect
17. #27558	C₂	semidirect
18. #27031	C₂	semidirect
19. #26378	C₂	semidirect
20. #26160	C₂	semidirect
21. #26125	C₂	semidirect
22. #25972	C₂	semidirect
24. #24907	C₂	semidirect
26. #24820	C₂	semidirect
27. #24545	C₂	semidirect
29. #22682	C₂	semidirect
30. #22349	C₂	semidirect
31. C₄×#463	C₂	semidirect

Maximal subgroups

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

subgroup	index
#39008	2
#36166	2
#33070	2
#32528	2
#32445	2
#32387	2
#32286	2
#31921	2
#31633	2
#31515	2
#31432	2
#30380	2
#30136	2
#29074	2
#28859	2
#27579	2
#27558	2
#27031	2
#26378	2
#26160	2
#26125	2
#25972	2
#25150	2
#24907	2
#24895	2
#24820	2
#24545	2
#22878	2
#22682	2
#22349	2
C₄×#463	2