Subgroups — #6450285

Order 512.

1612 conjugacy classes of subgroups.

The subgroup lattice has 1184 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#34815	C₂	1	1	yes	maximal, characteristic, complemented
2	#34121	C₂	1	1	yes	maximal, characteristic
3	#27373	C₂	1	1	yes	maximal, characteristic, complemented
4	#27372	C₂	1	1	yes	maximal, characteristic, complemented
5	#27371	C₂	1	1	yes	maximal, characteristic, complemented
6	#27370	C₂	1	1	yes	maximal, characteristic, complemented
7	#27369	C₂	1	1	yes	maximal, characteristic, complemented
8	#27368	C₂	1	1	yes	maximal, characteristic, complemented
9	#27367	C₂	1	1	yes	maximal, characteristic, complemented
10	#27366	C₂	1	1	yes	maximal, characteristic, complemented
11	#27365	C₂	1	1	yes	maximal, characteristic, complemented
12	#27364	C₂	1	1	yes	maximal, characteristic, complemented
13	#27363	C₂	1	1	yes	maximal, characteristic, complemented
14	#27362	C₂	1	1	yes	maximal, characteristic, complemented
15	#27361	C₂	1	1	yes	maximal, characteristic, complemented
16	#27360	C₂	1	1	yes	maximal, characteristic, complemented
17	#27359	C₂	1	1	yes	maximal, characteristic, complemented
18	#27358	C₂	1	1	yes	maximal, characteristic, complemented
19	#23744	C₂	1	1	yes	maximal, characteristic, complemented
20	#23656	C₂	1	1	yes	maximal, characteristic, complemented
21	#23627	C₂	1	1	yes	maximal, characteristic
22	#23609	C₂	1	1	yes	maximal, characteristic
23	#21169	C₂	1	1	yes	maximal, characteristic, complemented
24	#21083	C₂	1	1	yes	maximal, characteristic
25	#21058	C₂	1	1	yes	maximal, characteristic
26	#21032	C₂	1	1	yes	maximal, characteristic, complemented
27	#21032	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂×#1916	C₂	1	1	yes	maximal, characteristic, complemented
29	#20872	C₂	1	1	yes	maximal, characteristic
30	#20872	C₂	1	1	yes	maximal, characteristic
31	C₄×#427	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₄×#41	C₂²	1	1	yes	characteristic
33	C₂×#427	C₂²	1	1	yes	characteristic
34	C₂×#427	C₂²	1	1	yes	characteristic
35	C₂×#427	C₂²	1	1	yes	characteristic
36	C₂×#427	C₂²	1	1	yes	characteristic
37	C₂²×C₄⋊C₈	C₂²	1	1	yes	characteristic
38	C₂×#416	C₂²	1	1	yes	characteristic
39	C₂×#416	C₂²	1	1	yes	characteristic
40	C₂×#416	C₂²	1	1	yes	characteristic
41	C₂×#416	C₂²	1	1	yes	characteristic
42	C₂²×C₄×C₈	C₂²	1	1	yes	characteristic
43	#2509	C₂²	1	1	yes	characteristic
44	#2509	C₂²	1	1	yes	characteristic
45	#2508	C₂²	1	1	yes	characteristic
46	#2508	C₂²	1	1	yes	characteristic
47	#2507	C₂²	1	1	yes	characteristic
48	#2507	C₂²	1	1	yes	characteristic
49	#2506	C₂²	1	1	yes	characteristic
50	#2506	C₂²	1	1	yes	characteristic
51	#2505	—	2	1	no	—
52	#2505	—	2	1	no	—
53	#2473	—	2	1	no	—
54	#2473	—	2	1	no	—
55	#2402	—	2	1	no	—
56	#2402	—	2	1	no	—
57	#2357	C₂²	1	1	yes	characteristic
58	#2357	C₂²	1	1	yes	characteristic
59	#2356	C₂²	1	1	yes	characteristic
60	#2356	C₂²	1	1	yes	characteristic
61	#2355	C₂²	1	1	yes	characteristic
62	#2355	C₂²	1	1	yes	characteristic
63	#2354	C₂²	1	1	yes	characteristic
64	#2354	C₂²	1	1	yes	characteristic
65	#2353	—	2	1	no	—
66	#2353	—	2	1	no	—
67	#2352	—	2	1	no	—
68	#2352	—	2	1	no	—
69	C₄×#125	—	2	1	no	—
70	C₄×#125	—	2	1	no	—
71	#2298	—	2	1	no	—
72	#2298	—	2	1	no	—
73	#2297	C₂²	1	1	yes	characteristic
74	#2297	C₂²	1	1	yes	characteristic
75	#2296	C₂²	1	1	yes	characteristic
76	#2296	C₂²	1	1	yes	characteristic
77	#2296	C₂²	1	1	yes	characteristic
78	#2296	C₂²	1	1	yes	characteristic
79	#2285	C₂²	1	1	yes	characteristic
80	#2285	C₂²	1	1	yes	characteristic
81	#2283	—	2	1	no	—
82	C₄×#117	—	2	1	no	—
83	C₄×#117	C₂²	1	1	yes	characteristic
84	C₄×#117	C₂²	1	1	yes	characteristic
85	C₄×#117	C₂²	1	1	yes	characteristic
86	C₂×C₄×C₄⋊C₄	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	#2101	C₂²	1	1	yes	characteristic
91	#2100	C₂²	1	1	yes	characteristic
92	#2100	C₂²	1	1	yes	characteristic
93	#2099	C₂²	1	1	yes	characteristic
94	#2099	C₂²	1	1	yes	characteristic
95	#2085	C₂²	1	1	yes	characteristic
96	#2085	C₂²	1	1	yes	characteristic
97	#2085	C₂²	1	1	yes	characteristic
98	#2085	C₂²	1	1	yes	characteristic
99	#2084	C₂²	1	1	yes	characteristic
100	#2084	C₂²	1	1	yes	characteristic
101	#2083	C₂²	1	1	yes	characteristic
102	#2083	C₂²	1	1	yes	characteristic
103	#2074	C₂²	1	1	yes	characteristic
104	#2074	C₂²	1	1	yes	characteristic
105	#2073	C₂²	1	1	yes	characteristic
106	#2073	C₂²	1	1	yes	characteristic
107	#2072	C₂²	1	1	yes	characteristic
108	#2072	C₂²	1	1	yes	characteristic
109	#2071	C₂²	1	1	yes	characteristic
110	#2071	C₂²	1	1	yes	characteristic
111	#2068	C₂²	1	1	yes	characteristic
112	#2068	C₂²	1	1	yes	characteristic
113	#2067	C₂²	1	1	yes	characteristic
114	#2067	C₂²	1	1	yes	characteristic
115	#2066	C₂²	1	1	yes	characteristic
116	#2066	C₂²	1	1	yes	characteristic
117	#2065	C₂²	1	1	yes	characteristic
118	#2065	C₂²	1	1	yes	characteristic
119	#1949	C₂²	1	1	yes	characteristic
120	#1949	C₂²	1	1	yes	characteristic
121	#1949	C₂²	1	1	yes	characteristic
122	#1949	C₂²	1	1	yes	characteristic
123	#1948	C₂²	1	1	yes	characteristic
124	#1948	C₂²	1	1	yes	characteristic
125	#1947	C₂²	1	1	yes	characteristic
126	#1947	C₂²	1	1	yes	characteristic
127	#1934	C₂²	1	1	yes	characteristic
128	#1934	C₂²	1	1	yes	characteristic
129	#1934	C₂²	1	1	yes	characteristic
130	#1934	C₂²	1	1	yes	characteristic
131	#1933	C₂²	1	1	yes	characteristic
132	#1933	C₂²	1	1	yes	characteristic
133	#1933	C₂²	1	1	yes	characteristic
134	#1933	C₂²	1	1	yes	characteristic
135	#1928	C₂²	1	1	yes	characteristic
136	#1928	C₂²	1	1	yes	characteristic
137	#1927	C₂²	1	1	yes	characteristic
138	#1927	C₂²	1	1	yes	characteristic
139	#1926	C₂²	1	1	yes	characteristic
140	#1926	C₂²	1	1	yes	characteristic
141	#1925	C₂²	1	1	yes	characteristic
142	#1925	C₂²	1	1	yes	characteristic
143	#1921	C₂²	1	1	yes	characteristic
144	#1921	C₂²	1	1	yes	characteristic
145	#1921	C₂²	1	1	yes	characteristic
146	#1921	C₂²	1	1	yes	characteristic
147	#1920	C₂²	1	1	yes	characteristic
148	#1920	C₂²	1	1	yes	characteristic
149	#1920	C₂²	1	1	yes	characteristic
150	#1920	C₂²	1	1	yes	characteristic
151	#1919	C₂²	1	1	yes	characteristic
152	#1919	C₂²	1	1	yes	characteristic
153	#1919	C₂²	1	1	yes	characteristic
154	#1919	C₂²	1	1	yes	characteristic
155	#1918	C₂²	1	1	yes	characteristic
156	#1918	C₂²	1	1	yes	characteristic
157	#1918	C₂²	1	1	yes	characteristic
158	#1918	C₂²	1	1	yes	characteristic
159	#1916	C₂²	1	1	yes	characteristic
160	#1916	C₂²	1	1	yes	characteristic
161	#1916	C₂²	1	1	yes	characteristic
162	#1916	C₂²	1	1	yes	characteristic
163	#1916	C₂²	1	1	yes	characteristic
164	#1916	C₂²	1	1	yes	characteristic
165	#1916	C₂²	1	1	yes	characteristic
166	#1916	C₂²	1	1	yes	characteristic
167	#1865	C₂²	1	1	yes	characteristic
168	#1865	C₂²	1	1	yes	characteristic
169	#1865	C₂²	1	1	yes	characteristic
170	#1865	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	#1863	C₂²	1	1	yes	characteristic
176	#1863	C₂²	1	1	yes	characteristic
177	#1863	C₂²	1	1	yes	characteristic
178	#1863	C₂²	1	1	yes	characteristic
179	#1862	C₂²	1	1	yes	characteristic
180	#1862	C₂²	1	1	yes	characteristic
181	#1862	C₂²	1	1	yes	characteristic
182	#1862	C₂²	1	1	yes	characteristic
183	C₄×#107	C₂²	1	1	yes	characteristic
184	C₄×#107	C₂²	1	1	yes	characteristic
185	C₄×#107	C₂²	1	1	yes	characteristic
186	C₄×#107	C₂²	1	1	yes	characteristic
187	C₄×#106	C₂²	1	1	yes	characteristic
188	C₄×#106	C₂²	1	1	yes	characteristic
189	C₄×#106	C₂²	1	1	yes	characteristic
190	C₄×#106	C₂²	1	1	yes	characteristic
191	#1735	C₂²	1	1	yes	characteristic
192	#1735	C₂²	1	1	yes	characteristic
193	#1735	C₂²	1	1	yes	characteristic
194	#1735	C₂²	1	1	yes	characteristic
195	#1735	C₂²	1	1	yes	characteristic
196	#1735	C₂²	1	1	yes	characteristic
197	#1735	C₂²	1	1	yes	characteristic
198	#1735	C₂²	1	1	yes	characteristic
199	C₂×#336	C₂²	1	1	yes	characteristic
200	C₂×#336	C₂²	1	1	yes	characteristic
201	C₂×#336	C₂²	1	1	yes	characteristic
202	C₂×#336	C₂²	1	1	yes	characteristic
203	C₂²×#41	C₂³	1	1	yes	characteristic
204	C₂³×C₈	C₂³	1	1	yes	characteristic
205	C₂³×C₈	C₂³	1	1	yes	characteristic
206	C₂³×C₈	C₂³	1	1	yes	characteristic
207	C₂³×C₈	C₂³	1	1	yes	characteristic
208	C₂×#125	—	2	1	no	—
209	C₂×#125	—	2	1	no	—
210	C₄×#41	—	2	4	no	—
211	C₄×#41	—	2	4	no	—
212	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
213	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
214	C₂×C₄×D₄	—	2	1	no	—
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×#117	—	2	1	no	—
219	C₂×#117	—	2	1	no	—
220	C₂×#117	—	2	1	no	—
221	C₂×#117	C₂³	1	1	yes	characteristic
222	C₂×#117	C₂³	1	1	yes	characteristic
223	C₂×#117	C₂³	1	1	yes	characteristic
224	C₂×#117	C₂³	1	1	yes	characteristic
225	C₂×#117	C₂³	1	1	yes	characteristic
226	C₂×#117	C₂³	1	1	yes	characteristic
227	C₂×#117	C₂³	1	1	yes	characteristic
228	C₂²×C₄⋊C₄	D₄	1	1	yes	characteristic
229	C₂²×C₄⋊C₄	D₄	1	1	yes	characteristic
230	C₂²×C₄²	—	2	1	no	—
231	C₂²×C₄²	C₂³	1	1	yes	characteristic
232	C₂²×C₄²	C₂³	1	1	yes	characteristic
233	C₂²×C₄²	C₂³	1	1	yes	characteristic
234	#427	—	2	4	no	—
235	#427	—	2	4	no	—
236	#427	—	2	4	no	—
237	#427	—	2	4	no	—
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×#107	C₂³	1	1	yes	characteristic
242	C₂×#107	C₂³	1	1	yes	characteristic
243	C₂×#107	C₂³	1	1	yes	characteristic
244	C₂×#107	C₂³	1	1	yes	characteristic
245	C₂×#107	C₂³	1	1	yes	characteristic
246	C₂×#106	C₂³	1	1	yes	characteristic
247	C₂×#106	C₂³	1	1	yes	characteristic
248	C₂×#106	C₂³	1	1	yes	characteristic
249	C₂×#106	C₂³	1	1	yes	characteristic
250	C₂×#106	C₂³	1	1	yes	characteristic
251	C₂×#106	C₂³	1	1	yes	characteristic
252	C₂×#106	C₂³	1	1	yes	characteristic
253	C₂×#106	C₂³	1	1	yes	characteristic
254	C₂×C₄⋊C₈	—	2	4	no	—
255	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
256	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
257	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
258	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
259	#416	—	2	4	no	—
260	#416	—	2	4	no	—
261	#416	—	2	4	no	—
262	#416	—	2	4	no	—
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×#103	C₂³	1	1	yes	characteristic
268	C₂×#103	C₂³	1	1	yes	characteristic
269	C₂×#103	C₂³	1	1	yes	characteristic
270	C₂×#103	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×C₄×C₈	—	2	4	no	—
280	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
281	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
282	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
283	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
284	#400	—	2	1	no	—
285	#400	—	2	1	no	—
286	#400	—	2	1	no	—
287	#400	—	2	1	no	—
288	#400	—	2	1	no	—
289	#400	—	2	1	no	—
290	#400	—	2	1	no	—
291	#400	—	2	1	no	—
292	#398	—	2	1	no	—
293	#398	—	2	1	no	—
294	#398	—	2	1	no	—
295	#398	—	2	1	no	—
296	#398	—	2	1	no	—
297	#398	—	2	1	no	—
298	#398	—	2	1	no	—
299	#398	—	2	1	no	—
300	#391	C₂³	1	1	yes	characteristic
301	#391	C₂³	1	1	yes	characteristic
302	#391	C₂³	1	1	yes	characteristic
303	#391	C₂³	1	1	yes	characteristic
304	#390	C₂³	1	1	yes	characteristic
305	#390	C₂³	1	1	yes	characteristic
306	#390	C₂³	1	1	yes	characteristic
307	#390	C₂³	1	1	yes	characteristic
308	#389	—	2	1	no	—
309	#389	—	2	1	no	—
310	#389	—	2	1	no	—
311	#389	—	2	1	no	—
312	#389	C₂³	1	1	yes	characteristic
313	#389	C₂³	1	1	yes	characteristic
314	#389	C₂³	1	1	yes	characteristic
315	#389	C₂³	1	1	yes	characteristic
316	#389	C₂³	1	1	yes	characteristic
317	#389	C₂³	1	1	yes	characteristic
318	#389	C₂³	1	1	yes	characteristic
319	#389	C₂³	1	1	yes	characteristic
320	#389	C₂³	1	1	yes	characteristic
321	#389	C₂³	1	1	yes	characteristic
322	#389	C₂³	1	1	yes	characteristic
323	#389	C₂³	1	1	yes	characteristic
324	#389	C₂³	1	1	yes	characteristic
325	#389	C₂³	1	1	yes	characteristic
326	#389	C₂³	1	1	yes	characteristic
327	#389	C₂³	1	1	yes	characteristic
328	#388	—	2	1	no	—
329	#388	—	2	1	no	—
330	#388	—	2	1	no	—
331	#388	—	2	1	no	—
332	#388	—	2	1	no	—
333	#388	—	2	1	no	—
334	#388	—	2	1	no	—
335	#388	—	2	1	no	—
336	#387	—	2	1	no	—
337	#387	—	2	1	no	—
338	#387	—	2	1	no	—
339	#387	—	2	1	no	—
340	#387	—	2	1	no	—
341	#387	—	2	1	no	—
342	#387	—	2	1	no	—
343	#387	—	2	1	no	—
344	#387	—	2	1	no	—
345	#387	—	2	1	no	—
346	#387	—	2	1	no	—
347	#387	—	2	1	no	—
348	#387	—	2	1	no	—
349	#387	—	2	1	no	—
350	#387	—	2	1	no	—
351	#387	—	2	1	no	—
352	#386	—	2	1	no	—
353	#386	—	2	1	no	—
354	#386	—	2	1	no	—
355	#386	—	2	1	no	—
356	#385	—	2	1	no	—
357	#385	—	2	1	no	—
358	#385	—	2	1	no	—
359	#385	—	2	1	no	—
360	#385	—	2	1	no	—
361	#385	—	2	1	no	—
362	#385	—	2	1	no	—
363	#385	—	2	1	no	—
364	#384	C₂³	1	1	yes	characteristic
365	#384	C₂³	1	1	yes	characteristic
366	#384	C₂³	1	1	yes	characteristic
367	#384	C₂³	1	1	yes	characteristic
368	#383	—	2	1	no	—
369	#383	—	2	1	no	—
370	#382	—	2	1	no	—
371	#382	—	2	1	no	—
372	#382	—	2	1	no	—
373	#382	—	2	1	no	—
374	#382	C₂³	1	1	yes	characteristic
375	#382	C₂³	1	1	yes	characteristic
376	#382	C₂³	1	1	yes	characteristic
377	#382	C₂³	1	1	yes	characteristic
378	#381	—	2	1	no	—
379	#381	—	2	1	no	—
380	#380	—	2	1	no	—
381	#380	—	2	1	no	—
382	#380	—	2	1	no	—
383	#380	—	2	1	no	—
384	#380	—	2	1	no	—
385	#380	—	2	1	no	—
386	C₄×C₄⋊C₄	—	2	1	no	—
387	C₄×C₄⋊C₄	—	2	1	no	—
388	C₄×C₄⋊C₄	—	2	1	no	—
389	C₄×C₄⋊C₄	—	2	1	no	—
390	C₄×C₄⋊C₄	—	2	1	no	—
391	C₄×C₄⋊C₄	—	2	1	no	—
392	C₄×C₄⋊C₄	—	2	1	no	—
393	C₄×C₄⋊C₄	—	2	1	no	—
394	C₄×C₄⋊C₄	—	2	1	no	—
395	C₄×C₄⋊C₄	—	2	1	no	—
396	C₄×C₄⋊C₄	—	2	1	no	—
397	C₄×C₄⋊C₄	—	2	1	no	—
398	C₄×C₄⋊C₄	—	2	1	no	—
399	C₄×C₄⋊C₄	—	2	1	no	—
400	C₄×C₄⋊C₄	D₄	1	1	yes	characteristic
401	C₄×C₄⋊C₄	D₄	1	1	yes	characteristic
402	C₄×C₄⋊C₄	D₄	1	1	yes	characteristic
403	C₄×C₄⋊C₄	D₄	1	1	yes	characteristic
404	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
405	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
406	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
407	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
408	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
409	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
410	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
411	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
412	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
413	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
414	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
415	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
416	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
417	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
418	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
419	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
420	C₄×C₂²⋊C₄	—	2	1	no	—
421	C₄×C₂²⋊C₄	—	2	1	no	—
422	C₄×C₂²⋊C₄	—	2	1	no	—
423	C₄×C₂²⋊C₄	—	2	1	no	—
424	C₄×C₂²⋊C₄	—	2	1	no	—
425	C₄×C₂²⋊C₄	—	2	1	no	—
426	C₄×C₂²⋊C₄	—	2	1	no	—
427	C₄×C₂²⋊C₄	—	2	1	no	—
428	C₄×C₂²⋊C₄	—	2	1	no	—
429	C₄×C₂²⋊C₄	—	2	1	no	—
430	C₄×C₂²⋊C₄	—	2	1	no	—
431	C₄×C₂²⋊C₄	—	2	1	no	—
432	#376	—	2	1	no	—
433	#376	—	2	1	no	—
434	#376	—	2	1	no	—
435	#376	—	2	1	no	—
436	#376	—	2	1	no	—
437	C₂×#95	D₄	1	1	yes	characteristic
438	C₂×#95	D₄	1	1	yes	characteristic
439	C₄³	—	2	1	no	—
440	C₄³	—	2	1	no	—
441	C₄³	—	2	1	no	—
442	#340	C₂³	1	1	yes	characteristic
443	#340	C₂³	1	1	yes	characteristic
444	#340	C₂³	1	1	yes	characteristic
445	#340	C₂³	1	1	yes	characteristic
446	#340	C₂³	1	1	yes	characteristic
447	#340	C₂³	1	1	yes	characteristic
448	#340	C₂³	1	1	yes	characteristic
449	#340	C₂³	1	1	yes	characteristic
450	#340	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	#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	#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	#336	C₂³	1	1	yes	characteristic
488	#336	C₂³	1	1	yes	characteristic
489	#336	C₂³	1	1	yes	characteristic
490	C₂×#41	—	2	2	no	—
491	C₂×#41	—	2	2	no	—
492	C₂×#41	—	2	2	no	—
493	C₂×#41	—	2	2	no	—
494	C₂×#41	—	2	2	no	—
495	C₂×#41	#41	1	4	yes	—
496	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
497	C₂²×D₄	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
503	C₂³×C₄	C₂×D₄	1	1	yes	characteristic
504	C₂³×C₄	C₂×D₄	1	1	yes	characteristic
505	C₂³×C₄	C₂×D₄	1	1	yes	characteristic
506	C₂³×C₄	C₂×D₄	1	1	yes	characteristic
507	C₂³×C₄	C₂×D₄	1	1	yes	characteristic
508	C₂³×C₄	C₂⁴	1	1	yes	characteristic
509	C₂²×C₈	—	2	2	no	—
510	C₂²×C₈	—	2	2	no	—
511	C₂²×C₈	—	2	2	no	—
512	C₂²×C₈	—	2	2	no	—
513	C₂²×C₈	—	2	2	no	—
514	C₂²×C₈	—	2	2	no	—
515	C₂²×C₈	—	2	2	no	—
516	C₂²×C₈	—	2	2	no	—
517	C₂²×C₈	—	2	2	no	—
518	C₂²×C₈	—	2	2	no	—
519	C₂²×C₈	—	2	2	no	—
520	C₂²×C₈	#41	1	4	yes	—
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	C₂²×C₈	C₂⁴	1	1	yes	characteristic
528	C₂²×C₈	C₂⁴	1	1	yes	characteristic
529	#125	—	4	4	no	—
530	#125	—	4	4	no	—
531	C₄×Q₈	—	2	2	no	—
532	C₄×Q₈	—	2	2	no	—
533	C₄×Q₈	—	2	2	no	—
534	C₄×Q₈	—	2	2	no	—
535	C₄×D₄	—	2	8	no	—
536	C₄×D₄	—	2	8	no	—
537	C₄×D₄	—	2	2	no	—
538	C₄×D₄	—	2	2	no	—
539	C₄×D₄	—	2	2	no	—
540	C₄×D₄	—	2	2	no	—
541	#117	—	2	8	no	—
542	#117	—	2	2	no	—
543	#117	—	2	2	no	—
544	#117	—	2	2	no	—
545	#117	—	2	2	no	—
546	#117	—	2	2	no	—
547	#117	—	2	2	no	—
548	#117	—	2	2	no	—
549	#117	—	2	2	no	—
550	#117	—	2	2	no	—
551	#117	—	2	2	no	—
552	#117	—	2	2	no	—
553	#117	—	2	2	no	—
554	#117	—	4	4	no	—
555	#117	—	4	4	no	—
556	#117	#41	1	4	yes	—
557	#117	#41	1	4	yes	—
558	C₂×C₄⋊C₄	—	2	1	no	—
559	C₂×C₄⋊C₄	—	2	1	no	—
560	C₂×C₄⋊C₄	—	2	4	no	—
561	C₂×C₄⋊C₄	—	2	1	no	—
562	C₂×C₄⋊C₄	—	2	1	no	—
563	C₂×C₄⋊C₄	—	2	1	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	—	2	1	no	—
584	C₂×C₄⋊C₄	—	2	1	no	—
585	C₂×C₄⋊C₄	—	4	2	no	—
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	C₂×D₄	1	1	yes	characteristic
592	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
593	C₂×C₄⋊C₄	C₂×D₄	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×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
604	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
605	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
606	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
607	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
625	C₂×C₄²	—	2	8	no	—
626	C₂×C₄²	—	2	1	no	—
627	C₂×C₄²	—	2	1	no	—
628	C₂×C₄²	—	2	1	no	—
629	C₂×C₄²	—	2	1	no	—
630	C₂×C₄²	—	2	2	no	—
631	C₂×C₄²	—	2	2	no	—
632	C₂×C₄²	—	2	2	no	—
633	C₂×C₄²	—	2	2	no	—
634	C₂×C₄²	—	2	2	no	—
635	C₂×C₄²	—	2	2	no	—
636	C₂×C₄²	—	2	1	no	—
637	C₂×C₄²	—	2	1	no	—
638	C₂×C₄²	—	2	1	no	—
639	C₂×C₄²	—	2	1	no	—
640	C₂×C₄²	—	2	1	no	—
641	C₂×C₄²	—	2	1	no	—
642	C₂×C₄²	—	2	1	no	—
643	C₂×C₄²	—	2	1	no	—
644	C₂×C₄²	—	2	1	no	—
645	C₂×C₄²	—	2	1	no	—
646	C₂×C₄²	—	2	1	no	—
647	C₂×C₄²	—	2	1	no	—
648	C₂×C₄²	—	2	1	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	C₂×D₄	1	1	yes	characteristic
654	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
655	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
656	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
657	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
658	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
659	C₂×C₄²	C₂⁴	1	1	yes	characteristic
660	C₂×C₄²	C₂⁴	1	1	yes	characteristic
661	C₂×C₄²	C₂⁴	1	1	yes	characteristic
662	C₂×C₄²	C₂⁴	1	1	yes	characteristic
663	C₂×C₄²	C₂⁴	1	1	yes	characteristic
664	C₂×C₄²	C₂⁴	1	1	yes	characteristic
665	#107	—	2	2	no	—
666	#107	—	2	2	no	—
667	#107	—	2	2	no	—
668	#107	—	2	2	no	—
669	#107	—	2	2	no	—
670	#107	—	2	2	no	—
671	#107	—	2	2	no	—
672	#107	—	2	2	no	—
673	#106	—	2	2	no	—
674	#106	—	2	2	no	—
675	#106	—	2	2	no	—
676	#106	—	2	2	no	—
677	#106	—	2	2	no	—
678	#106	—	2	2	no	—
679	#106	—	2	2	no	—
680	#106	—	2	2	no	—
681	C₄⋊C₈	—	2	2	no	—
682	C₄⋊C₈	—	2	2	no	—
683	C₄⋊C₈	—	2	2	no	—
684	C₄⋊C₈	—	2	2	no	—
685	#103	—	2	2	no	—
686	#103	—	2	2	no	—
687	#103	—	2	2	no	—
688	#103	—	2	2	no	—
689	#103	—	2	2	no	—
690	#103	—	2	2	no	—
691	#103	—	2	2	no	—
692	#103	—	2	2	no	—
693	#102	—	2	2	no	—
694	#102	—	2	2	no	—
695	#102	—	2	2	no	—
696	#102	—	2	2	no	—
697	#102	—	2	2	no	—
698	#102	—	2	2	no	—
699	#102	—	2	2	no	—
700	#102	—	2	2	no	—
701	C₄×C₈	—	2	2	no	—
702	C₄×C₈	—	2	2	no	—
703	C₄×C₈	—	2	2	no	—
704	C₄×C₈	—	2	2	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	C₂×D₄	1	1	yes	characteristic
750	#95	C₂×D₄	1	1	yes	characteristic
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	C₂⁴	—	2	1	no	—
758	C₂⁴	C₂²×D₄	1	1	yes	characteristic
759	#41	—	2	8	no	—
760	#41	—	2	8	no	—
761	#41	—	4	4	no	—
762	#41	—	4	4	no	—
763	C₂×Q₈	—	2	1	no	—
764	C₂×Q₈	—	2	1	no	—
765	C₂×Q₈	—	2	1	no	—
766	C₂×Q₈	—	2	1	no	—
767	C₂×Q₈	—	2	1	no	—
768	C₂×Q₈	C₂×#41	1	2	yes	—
769	C₂×D₄	—	2	4	no	—
770	C₂×D₄	—	2	1	no	—
771	C₂×D₄	—	2	1	no	—
772	C₂×D₄	—	2	1	no	—
773	C₂×D₄	—	2	1	no	—
774	C₂×D₄	—	2	1	no	—
775	C₂×D₄	—	4	2	no	—
776	C₂×D₄	—	4	2	no	—
777	C₂×D₄	C₂×#41	1	2	yes	—
778	C₂²×C₄	—	2	4	no	—
779	C₂²×C₄	—	2	2	no	—
780	C₂²×C₄	—	2	2	no	—
781	C₂²×C₄	—	2	2	no	—
782	C₂²×C₄	—	2	2	no	—
783	C₂²×C₄	—	2	1	no	—
784	C₂²×C₄	—	2	1	no	—
785	C₂²×C₄	—	2	1	no	—
786	C₂²×C₄	—	2	1	no	—
787	C₂²×C₄	—	2	1	no	—
788	C₂²×C₄	—	2	4	no	—
789	C₂²×C₄	—	2	2	no	—
790	C₂²×C₄	—	2	2	no	—
791	C₂²×C₄	—	2	4	no	—
792	C₂²×C₄	—	2	2	no	—
793	C₂²×C₄	—	2	2	no	—
794	C₂²×C₄	—	2	2	no	—
795	C₂²×C₄	—	2	2	no	—
796	C₂²×C₄	—	2	1	no	—
797	C₂²×C₄	—	2	1	no	—
798	C₂²×C₄	—	2	1	no	—
799	C₂²×C₄	—	2	1	no	—
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	—	4	1	no	—
807	C₂²×C₄	—	4	1	no	—
808	C₂²×C₄	—	4	1	no	—
809	C₂²×C₄	—	4	1	no	—
810	C₂²×C₄	—	4	1	no	—
811	C₂²×C₄	—	4	1	no	—
812	C₂²×C₄	—	4	1	no	—
813	C₂²×C₄	—	4	1	no	—
814	C₂²×C₄	—	4	2	no	—
815	C₂²×C₄	—	4	2	no	—
816	C₂²×C₄	—	4	2	no	—
817	C₂²×C₄	—	4	2	no	—
818	C₂²×C₄	—	8	1	no	—
819	C₂²×C₄	—	8	1	no	—
820	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
821	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
822	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
823	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
824	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
825	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
826	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
827	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
828	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
829	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
830	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
831	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
832	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
833	C₂²×C₄	C₂×#41	1	2	yes	—
834	C₂²×C₄	C₂×#41	1	2	yes	—
835	C₂²×C₄	C₂×#41	1	2	yes	—
836	C₂²×C₄	C₂×#41	1	2	yes	—
837	C₂²×C₄	2₋¹⁺⁴	1	2	yes	—
838	C₂²×C₄	2₋¹⁺⁴	1	2	yes	—
839	C₂²×C₄	C₂⁵	1	1	yes	characteristic
840	C₂×C₈	—	2	8	no	—
841	C₂×C₈	—	2	1	no	—
842	C₂×C₈	—	2	1	no	—
843	C₂×C₈	—	2	1	no	—
844	C₂×C₈	—	2	1	no	—
845	C₂×C₈	—	2	1	no	—
846	C₂×C₈	—	2	1	no	—
847	C₂×C₈	—	2	1	no	—
848	C₂×C₈	—	2	1	no	—
849	C₂×C₈	—	2	1	no	—
850	C₂×C₈	—	2	1	no	—
851	C₂×C₈	—	2	1	no	—
852	C₂×C₈	—	2	1	no	—
853	C₂×C₈	—	2	1	no	—
854	C₂×C₈	—	2	1	no	—
855	C₂×C₈	—	2	1	no	—
856	C₂×C₈	—	2	1	no	—
857	C₂×C₈	—	2	1	no	—
858	C₂×C₈	—	2	1	no	—
859	C₂×C₈	—	2	1	no	—
860	C₂×C₈	—	2	1	no	—
861	C₂×C₈	—	2	1	no	—
862	C₂×C₈	—	2	1	no	—
863	C₂×C₈	—	4	4	no	—
864	C₂×C₈	—	4	4	no	—
865	C₂×C₈	—	4	4	no	—
866	C₂×C₈	C₂×#41	1	2	yes	—
867	C₂×C₈	C₂×#41	1	2	yes	—
868	C₄⋊C₄	—	2	4	no	—
869	C₄⋊C₄	—	2	4	no	—
870	C₄⋊C₄	—	2	2	no	—
871	C₄⋊C₄	—	2	2	no	—
872	C₄⋊C₄	—	2	2	no	—
873	C₄⋊C₄	—	2	2	no	—
874	C₄⋊C₄	—	2	2	no	—
875	C₄⋊C₄	—	2	1	no	—
876	C₄⋊C₄	—	2	1	no	—
877	C₄⋊C₄	—	2	1	no	—
878	C₄⋊C₄	—	2	1	no	—
879	C₄⋊C₄	—	2	1	no	—
880	C₄⋊C₄	—	2	1	no	—
881	C₄⋊C₄	—	2	1	no	—
882	C₄⋊C₄	—	2	1	no	—
883	C₄⋊C₄	—	2	1	no	—
884	C₄⋊C₄	—	2	1	no	—
885	C₄⋊C₄	—	2	1	no	—
886	C₄⋊C₄	—	2	1	no	—
887	C₄⋊C₄	—	2	1	no	—
888	C₄⋊C₄	—	2	1	no	—
889	C₄⋊C₄	—	2	1	no	—
890	C₄⋊C₄	—	2	1	no	—
891	C₄⋊C₄	—	2	1	no	—
892	C₄⋊C₄	—	2	1	no	—
893	C₄⋊C₄	—	2	1	no	—
894	C₄⋊C₄	—	2	1	no	—
895	C₄⋊C₄	—	2	1	no	—
896	C₄⋊C₄	—	2	1	no	—
897	C₄⋊C₄	—	2	1	no	—
898	C₄⋊C₄	—	2	1	no	—
899	C₄⋊C₄	—	4	1	no	—
900	C₄⋊C₄	—	4	1	no	—
901	C₄⋊C₄	—	4	2	no	—
902	C₄⋊C₄	—	4	2	no	—
903	C₄⋊C₄	—	4	2	no	—
904	C₄⋊C₄	—	4	2	no	—
905	C₄⋊C₄	—	4	2	no	—
906	C₄⋊C₄	—	4	2	no	—
907	C₄⋊C₄	—	4	2	no	—
908	C₄⋊C₄	—	4	2	no	—
909	C₄⋊C₄	—	4	2	no	—
910	C₄⋊C₄	—	4	2	no	—
911	C₄⋊C₄	—	4	2	no	—
912	C₄⋊C₄	—	4	2	no	—
913	C₄⋊C₄	—	8	1	no	—
914	C₄⋊C₄	—	8	1	no	—
915	C₄⋊C₄	—	8	1	no	—
916	C₄⋊C₄	—	8	1	no	—
917	C₄⋊C₄	—	8	1	no	—
918	C₄⋊C₄	—	8	1	no	—
919	C₄⋊C₄	—	8	1	no	—
920	C₄⋊C₄	—	8	1	no	—
921	C₄⋊C₄	—	8	1	no	—
922	C₄⋊C₄	—	8	1	no	—
923	C₄⋊C₄	—	8	1	no	—
924	C₄⋊C₄	—	8	1	no	—
925	C₄⋊C₄	#135	1	4	yes	—
926	C₄⋊C₄	C₂×#41	1	2	yes	—
927	C₄⋊C₄	C₂×#41	1	2	yes	—
928	C₄⋊C₄	C₂×#41	1	2	yes	—
929	C₄⋊C₄	C₂×#41	1	2	yes	—
930	C₂²⋊C₄	—	2	4	no	—
931	C₂²⋊C₄	—	2	4	no	—
932	C₂²⋊C₄	—	2	4	no	—
933	C₂²⋊C₄	—	2	4	no	—
934	C₂²⋊C₄	—	4	2	no	—
935	C₂²⋊C₄	—	4	2	no	—
936	C₂²⋊C₄	—	4	2	no	—
937	C₂²⋊C₄	—	4	2	no	—
938	C₂²⋊C₄	—	4	2	no	—
939	C₂²⋊C₄	—	4	2	no	—
940	C₂²⋊C₄	—	4	2	no	—
941	C₂²⋊C₄	—	4	2	no	—
942	C₂²⋊C₄	—	4	2	no	—
943	C₂²⋊C₄	—	8	1	no	—
944	C₂²⋊C₄	—	8	1	no	—
945	C₂²⋊C₄	—	8	1	no	—
946	C₂²⋊C₄	—	8	1	no	—
947	C₄²	—	2	4	no	—
948	C₄²	—	2	4	no	—
949	C₄²	—	2	2	no	—
950	C₄²	—	2	4	no	—
951	C₄²	—	2	2	no	—
952	C₄²	—	2	2	no	—
953	C₄²	—	2	2	no	—
954	C₄²	—	2	2	no	—
955	C₄²	—	2	2	no	—
956	C₄²	—	2	4	no	—
957	C₄²	—	2	1	no	—
958	C₄²	—	2	1	no	—
959	C₄²	—	2	1	no	—
960	C₄²	—	2	1	no	—
961	C₄²	—	2	1	no	—
962	C₄²	—	2	1	no	—
963	C₄²	—	2	1	no	—
964	C₄²	—	2	1	no	—
965	C₄²	—	2	1	no	—
966	C₄²	—	2	1	no	—
967	C₄²	—	2	1	no	—
968	C₄²	—	2	1	no	—
969	C₄²	—	4	2	no	—
970	C₄²	—	4	2	no	—
971	C₄²	—	4	2	no	—
972	C₄²	—	4	2	no	—
973	C₄²	—	4	2	no	—
974	C₄²	—	4	2	no	—
975	C₄²	—	4	2	no	—
976	C₄²	—	4	2	no	—
977	C₄²	—	4	2	no	—
978	C₄²	—	4	2	no	—
979	C₄²	—	4	2	no	—
980	C₄²	—	8	1	no	—
981	C₄²	—	8	1	no	—
982	C₄²	—	8	1	no	—
983	C₄²	—	8	1	no	—
984	C₄²	—	8	1	no	—
985	C₄²	—	8	1	no	—
986	C₂³	—	2	1	no	—
987	C₂³	—	2	1	no	—
988	C₂³	—	2	1	no	—
989	C₂³	—	2	1	no	—
990	C₂³	—	2	2	no	—
991	C₂³	—	4	1	no	—
992	C₂³	—	4	1	no	—
993	C₂³	—	4	1	no	—
994	C₂³	—	4	1	no	—
995	C₂³	—	4	1	no	—
996	C₂³	—	4	1	no	—
997	C₂³	#525	1	2	yes	—
998	C₂³	#547	1	2	yes	—
999	C₂³	#548	1	2	yes	—
1000	C₂³	C₂³×D₄	1	1	yes	characteristic
1001	Q₈	—	2	2	no	—
1002	Q₈	—	2	2	no	—
1003	Q₈	—	4	1	no	—
1004	Q₈	—	4	1	no	—
1005	D₄	—	2	2	no	—
1006	D₄	—	2	2	no	—
1007	D₄	—	4	8	no	—
1008	D₄	—	4	1	no	—
1009	D₄	—	4	1	no	—
1010	C₂×C₄	—	2	1	no	—
1011	C₂×C₄	—	2	1	no	—
1012	C₂×C₄	—	2	1	no	—
1013	C₂×C₄	—	2	1	no	—
1014	C₂×C₄	—	2	1	no	—
1015	C₂×C₄	—	2	1	no	—
1016	C₂×C₄	—	2	1	no	—
1017	C₂×C₄	—	2	1	no	—
1018	C₂×C₄	—	2	1	no	—
1019	C₂×C₄	—	2	1	no	—
1020	C₂×C₄	—	2	1	no	—
1021	C₂×C₄	—	2	1	no	—
1022	C₂×C₄	—	2	1	no	—
1023	C₂×C₄	—	2	1	no	—
1024	C₂×C₄	—	2	1	no	—
1025	C₂×C₄	—	2	1	no	—
1026	C₂×C₄	—	2	1	no	—
1027	C₂×C₄	—	2	1	no	—
1028	C₂×C₄	—	2	1	no	—
1029	C₂×C₄	—	2	1	no	—
1030	C₂×C₄	—	2	2	no	—
1031	C₂×C₄	—	2	2	no	—
1032	C₂×C₄	—	2	2	no	—
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	2	no	—
1039	C₂×C₄	—	2	2	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	—	4	4	no	—
1048	C₂×C₄	—	4	4	no	—
1049	C₂×C₄	—	4	4	no	—
1050	C₂×C₄	—	4	4	no	—
1051	C₂×C₄	—	4	8	no	—
1052	C₂×C₄	—	4	1	no	—
1053	C₂×C₄	—	4	1	no	—
1054	C₂×C₄	—	4	1	no	—
1055	C₂×C₄	—	4	1	no	—
1056	C₂×C₄	—	4	1	no	—
1057	C₂×C₄	—	4	1	no	—
1058	C₂×C₄	—	4	1	no	—
1059	C₂×C₄	—	4	1	no	—
1060	C₂×C₄	—	4	1	no	—
1061	C₂×C₄	—	4	1	no	—
1062	C₂×C₄	—	4	8	no	—
1063	C₂×C₄	—	4	1	no	—
1064	C₂×C₄	—	4	1	no	—
1065	C₂×C₄	—	4	1	no	—
1066	C₂×C₄	—	4	1	no	—
1067	C₂×C₄	—	4	1	no	—
1068	C₂×C₄	—	4	1	no	—
1069	C₂×C₄	—	4	1	no	—
1070	C₂×C₄	—	4	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	—	8	2	no	—
1094	C₂×C₄	—	8	2	no	—
1095	C₂×C₄	—	8	4	no	—
1096	C₂×C₄	#525	1	2	yes	—
1097	C₂×C₄	#529	1	4	yes	—
1098	C₂×C₄	#541	1	4	yes	—
1099	C₂×C₄	#547	1	2	yes	—
1100	C₂×C₄	#548	1	2	yes	—
1101	C₂×C₄	#552	1	4	yes	—
1102	C₂×C₄	#552	1	4	yes	—
1103	C₂×C₄	C₂×#135	1	2	yes	—
1104	C₂×C₄	C₂×#135	1	2	yes	—
1105	C₂×C₄	C₂×#135	1	2	yes	—
1106	C₂×C₄	#575	1	2	yes	—
1107	C₂×C₄	C₂²×#41	1	1	yes	characteristic
1108	C₂×C₄	C₂²×#41	1	1	yes	characteristic
1109	C₂×C₄	C₂²×#41	1	1	yes	characteristic
1110	C₂×C₄	C₂²×#41	1	1	yes	characteristic
1111	C₂×C₄	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1112	C₂×C₄	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1113	C₈	—	2	2	no	—
1114	C₈	—	2	2	no	—
1115	C₈	—	4	1	no	—
1116	C₈	—	4	1	no	—
1117	C₈	—	4	1	no	—
1118	C₈	—	4	1	no	—
1119	C₈	—	4	1	no	—
1120	C₈	—	4	1	no	—
1121	C₂²	—	2	2	no	—
1122	C₂²	—	2	2	no	—
1123	C₂²	—	2	2	no	—
1124	C₂²	—	2	2	no	—
1125	C₂²	—	2	2	no	—
1126	C₂²	—	2	2	no	—
1127	C₂²	—	4	2	no	—
1128	C₂²	—	4	2	no	—
1129	C₂²	—	4	2	no	—
1130	C₂²	—	8	1	no	—
1131	C₂²	—	8	1	no	—
1132	C₂²	—	8	1	no	—
1133	C₂²	—	8	1	no	—
1134	C₂²	#2475	1	4	yes	—
1135	C₂²	C₂×#525	1	1	yes	characteristic
1136	C₂²	C₂×#547	1	1	yes	characteristic
1137	C₂²	C₂×#548	1	1	yes	characteristic
1138	C₂²	C₂²×#135	1	1	yes	characteristic
1139	C₂²	C₂×#575	1	1	yes	characteristic
1140	C₂²	#3584	1	1	yes	characteristic
1141	C₂²	#3584	1	1	yes	characteristic
1142	C₄	—	2	2	no	—
1143	C₄	—	2	2	no	—
1144	C₄	—	2	2	no	—
1145	C₄	—	2	2	no	—
1146	C₄	—	4	1	no	—
1147	C₄	—	4	1	no	—
1148	C₄	—	4	1	no	—
1149	C₄	—	4	1	no	—
1150	C₄	—	4	1	no	—
1151	C₄	—	4	2	no	—
1152	C₄	—	4	1	no	—
1153	C₄	—	4	2	no	—
1154	C₄	—	4	2	no	—
1155	C₄	—	4	1	no	—
1156	C₄	—	4	1	no	—
1157	C₄	—	4	2	no	—
1158	C₄	—	4	2	no	—
1159	C₄	—	8	1	no	—
1160	C₄	—	8	1	no	—
1161	C₄	—	8	1	no	—
1162	C₄	—	8	1	no	—
1163	C₄	—	8	1	no	—
1164	C₄	—	8	1	no	—
1165	C₄	—	8	1	no	—
1166	C₄	—	8	1	no	—
1167	C₄	—	8	1	no	—
1168	C₄	—	8	1	no	—
1169	C₄	#2475	1	4	yes	—
1170	C₄	C₂×#529	1	1	yes	characteristic
1171	C₄	C₂×#541	1	1	yes	characteristic
1172	C₄	C₂×#552	1	1	yes	characteristic
1173	C₄	C₂×#552	1	1	yes	characteristic
1174	C₂	—	2	4	no	—
1175	C₂	—	8	2	no	—
1176	C₂	C₂×#2475	1	1	yes	characteristic
1177	C₂	#60536	1	1	yes	characteristic
1178	C₂	#60557	1	1	yes	characteristic
1179	C₂	#61234	1	1	yes	characteristic
1180	C₂	#61243	1	1	yes	characteristic
1181	C₂	#61303	1	1	yes	characteristic
1182	C₂	#61316	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₄	C₂²×D₄
commutator, Frattini, cosocle	C₂²×C₄	C₂⁵
socle	C₂³	C₂³×D₄
prime radical	C₂²×#41	C₂³
LCS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₄ ◁ C₂×C₄×C₄⋊C₄ ◁ G
LECS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁

Complements

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

N	H ≅ G/N	type
1. #34815	C₂	semidirect
3. #27373	C₂	semidirect
4. #27372	C₂	semidirect
5. #27371	C₂	semidirect
6. #27370	C₂	semidirect
7. #27369	C₂	semidirect
8. #27368	C₂	semidirect
9. #27367	C₂	semidirect
10. #27366	C₂	semidirect
11. #27365	C₂	semidirect
12. #27364	C₂	semidirect
13. #27363	C₂	semidirect
14. #27362	C₂	semidirect
15. #27361	C₂	semidirect
16. #27360	C₂	semidirect
17. #27359	C₂	semidirect
18. #27358	C₂	semidirect
19. #23744	C₂	semidirect
20. #23656	C₂	semidirect
23. #21169	C₂	semidirect
26. #21032	C₂	semidirect
27. #21032	C₂	semidirect
28. C₂×#1916	C₂	semidirect
31. C₄×#427	C₂	semidirect

Maximal subgroups

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

subgroup	index
#34815	2
#34121	2
#27373	2
#27372	2
#27371	2
#27370	2
#27369	2
#27368	2
#27367	2
#27366	2
#27365	2
#27364	2
#27363	2
#27362	2
#27361	2
#27360	2
#27359	2
#27358	2
#23744	2
#23656	2
#23627	2
#23609	2
#21169	2
#21083	2
#21058	2
#21032	2
C₂×#1916	2
#20872	2
C₄×#427	2