Subgroups — #7181019

Order 512.

1716 conjugacy classes of subgroups.

The subgroup lattice has 1288 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#3398	C₂	1	1	yes	maximal, characteristic
2	C₂×#3377	C₂	1	1	yes	maximal, characteristic
3	#59428	C₂	1	1	yes	maximal, characteristic
4	#39170	C₂	1	1	yes	maximal, characteristic, complemented
5	#31215	C₂	1	1	yes	maximal, characteristic
6	#31213	C₂	1	1	yes	maximal, characteristic, complemented
7	#31154	C₂	1	1	yes	maximal, characteristic
8	#31149	C₂	1	1	yes	maximal, characteristic, complemented
9	#30896	C₂	1	1	yes	maximal, characteristic, complemented
10	#30885	C₂	1	1	yes	maximal, characteristic
11	#30754	C₂	1	1	yes	maximal, characteristic
12	#30744	C₂	1	1	yes	maximal, characteristic, complemented
13	#28620	C₂	1	1	yes	maximal, characteristic
14	#28373	C₂	1	1	yes	maximal, characteristic, complemented
15	#26847	C₂	1	1	yes	maximal, characteristic, complemented
16	#26817	C₂	1	1	yes	maximal, characteristic
17	#26395	C₂	1	1	yes	maximal, characteristic, complemented
18	#26374	C₂	1	1	yes	maximal, characteristic
19	#26266	C₂	1	1	yes	maximal, characteristic
20	#26255	C₂	1	1	yes	maximal, characteristic, complemented
21	#26182	C₂	1	1	yes	maximal, characteristic
22	#26171	C₂	1	1	yes	maximal, characteristic, complemented
23	#25661	C₂	1	1	yes	maximal, characteristic
24	#25643	C₂	1	1	yes	maximal, characteristic
25	#25483	C₂	1	1	yes	maximal, characteristic, complemented
26	#25306	C₂	1	1	yes	maximal, characteristic, complemented
27	#24344	C₂	1	1	yes	maximal, characteristic, complemented
28	#24203	C₂	1	1	yes	maximal, characteristic, complemented
29	#23685	C₂	1	1	yes	maximal, characteristic, complemented
30	#23151	C₂	1	1	yes	maximal, characteristic, complemented
31	#22150	C₂	1	1	yes	maximal, characteristic
32	C₂×#557	C₂²	1	1	yes	characteristic
33	C₂×#557	C₂²	1	1	yes	characteristic
34	C₂×#556	C₂²	1	1	yes	characteristic
35	C₂×#556	C₂²	1	1	yes	characteristic
36	#3398	—	2	8	no	—
37	#3377	—	2	8	no	—
38	C₂×#497	C₂²	1	1	yes	characteristic
39	C₂×#497	C₂²	1	1	yes	characteristic
40	C₂×#494	C₂²	1	1	yes	characteristic
41	C₂×#491	C₂²	1	1	yes	characteristic
42	C₂×#489	C₂²	1	1	yes	characteristic
43	C₂×#488	C₂²	1	1	yes	characteristic
44	C₂×#479	C₂²	1	1	yes	characteristic
45	C₂×#477	C₂²	1	1	yes	characteristic
46	C₂×#477	C₂²	1	1	yes	characteristic
47	C₂×#478	C₂²	1	1	yes	characteristic
48	C₂×#464	C₂²	1	1	yes	characteristic
49	C₂×#464	C₂²	1	1	yes	characteristic
50	C₂×#464	C₂²	1	1	yes	characteristic
51	C₂×#462	C₂²	1	1	yes	characteristic
52	C₂×#462	C₂²	1	1	yes	characteristic
53	C₂×#462	C₂²	1	1	yes	characteristic
54	C₂×#462	C₂²	1	1	yes	characteristic
55	C₂×#462	C₂²	1	1	yes	characteristic
56	C₂×#461	C₂²	1	1	yes	characteristic
57	C₂×#446	C₂²	1	1	yes	characteristic
58	C₂×#446	C₂²	1	1	yes	characteristic
59	C₂×#441	C₂²	1	1	yes	characteristic
60	C₂×#441	C₂²	1	1	yes	characteristic
61	C₂×#441	C₂²	1	1	yes	characteristic
62	C₂×#440	C₂²	1	1	yes	characteristic
63	C₂×C₄×Q₁₆	C₂²	1	1	yes	characteristic
64	C₂×C₄×SD₁₆	C₂²	1	1	yes	characteristic
65	#2862	C₂²	1	1	yes	characteristic
66	#2719	—	2	1	no	—
67	#2719	—	2	1	no	—
68	#2719	—	2	1	no	—
69	#2719	—	2	1	no	—
70	#2689	—	2	1	no	—
71	#2689	—	2	1	no	—
72	#2642	—	2	1	no	—
73	#2581	C₂²	1	1	yes	characteristic
74	#2581	C₂²	1	1	yes	characteristic
75	#2568	C₂²	1	1	yes	characteristic
76	#2565	—	2	1	no	—
77	#2547	C₂²	1	1	yes	characteristic
78	#2546	—	2	1	no	—
79	#2546	C₂²	1	1	yes	characteristic
80	#2546	C₂²	1	1	yes	characteristic
81	#2496	—	2	1	no	—
82	#2496	—	2	1	no	—
83	#2478	—	2	1	no	—
84	#2478	—	2	1	no	—
85	#2453	C₂²	1	1	yes	characteristic
86	#2453	C₂²	1	1	yes	characteristic
87	#2453	C₂²	1	1	yes	characteristic
88	#2453	C₂²	1	1	yes	characteristic
89	#2447	C₂²	1	1	yes	characteristic
90	#2447	C₂²	1	1	yes	characteristic
91	#2446	C₂²	1	1	yes	characteristic
92	#2446	C₂²	1	1	yes	characteristic
93	#2446	C₂²	1	1	yes	characteristic
94	#2446	C₂²	1	1	yes	characteristic
95	#2446	C₂²	1	1	yes	characteristic
96	#2446	C₂²	1	1	yes	characteristic
97	#2440	—	2	1	no	—
98	Q₈×C₄⋊C₄	C₂²	1	1	yes	characteristic
99	D₄×C₄⋊C₄	C₂²	1	1	yes	characteristic
100	#2344	—	2	1	no	—
101	#2327	—	2	1	no	—
102	C₄×C₄⋊Q₈	C₂²	1	1	yes	characteristic
103	C₄×C₄⋊Q₈	C₂²	1	1	yes	characteristic
104	C₄×#124	C₂²	1	1	yes	characteristic
105	#2295	C₂²	1	1	yes	characteristic
106	#2095	C₂²	1	1	yes	characteristic
107	#2095	C₂²	1	1	yes	characteristic
108	#2087	C₂²	1	1	yes	characteristic
109	#2086	C₂²	1	1	yes	characteristic
110	#2084	C₂²	1	1	yes	characteristic
111	#2072	C₂²	1	1	yes	characteristic
112	#2068	C₂²	1	1	yes	characteristic
113	#2068	C₂²	1	1	yes	characteristic
114	#2066	C₂²	1	1	yes	characteristic
115	#2066	C₂²	1	1	yes	characteristic
116	#2066	C₂²	1	1	yes	characteristic
117	#2066	C₂²	1	1	yes	characteristic
118	#2059	C₂²	1	1	yes	characteristic
119	#2059	C₂²	1	1	yes	characteristic
120	#2056	C₂²	1	1	yes	characteristic
121	#2056	C₂²	1	1	yes	characteristic
122	#2056	C₂²	1	1	yes	characteristic
123	#2056	C₂²	1	1	yes	characteristic
124	#2056	C₂²	1	1	yes	characteristic
125	#2056	C₂²	1	1	yes	characteristic
126	#2055	C₂²	1	1	yes	characteristic
127	#2055	C₂²	1	1	yes	characteristic
128	#2043	C₂²	1	1	yes	characteristic
129	#2043	C₂²	1	1	yes	characteristic
130	#2043	C₂²	1	1	yes	characteristic
131	#2043	C₂²	1	1	yes	characteristic
132	#2043	C₂²	1	1	yes	characteristic
133	#2042	C₂²	1	1	yes	characteristic
134	#2042	C₂²	1	1	yes	characteristic
135	#2026	C₂²	1	1	yes	characteristic
136	#2026	C₂²	1	1	yes	characteristic
137	#2016	C₂²	1	1	yes	characteristic
138	#2016	C₂²	1	1	yes	characteristic
139	#2016	C₂²	1	1	yes	characteristic
140	#2016	C₂²	1	1	yes	characteristic
141	#2016	C₂²	1	1	yes	characteristic
142	#2016	C₂²	1	1	yes	characteristic
143	#2016	C₂²	1	1	yes	characteristic
144	#2015	C₂²	1	1	yes	characteristic
145	#2015	C₂²	1	1	yes	characteristic
146	#1993	C₂²	1	1	yes	characteristic
147	#1985	C₂²	1	1	yes	characteristic
148	#1985	C₂²	1	1	yes	characteristic
149	#1983	C₂²	1	1	yes	characteristic
150	#1971	C₂²	1	1	yes	characteristic
151	#1969	C₂²	1	1	yes	characteristic
152	#1969	C₂²	1	1	yes	characteristic
153	#1969	C₂²	1	1	yes	characteristic
154	#1969	C₂²	1	1	yes	characteristic
155	#1969	C₂²	1	1	yes	characteristic
156	#1969	C₂²	1	1	yes	characteristic
157	#1968	C₂²	1	1	yes	characteristic
158	#1960	C₂²	1	1	yes	characteristic
159	#1949	C₂²	1	1	yes	characteristic
160	#1944	C₂²	1	1	yes	characteristic
161	#1942	C₂²	1	1	yes	characteristic
162	#1939	C₂²	1	1	yes	characteristic
163	#1939	C₂²	1	1	yes	characteristic
164	#1935	C₂²	1	1	yes	characteristic
165	#1935	C₂²	1	1	yes	characteristic
166	#1934	C₂²	1	1	yes	characteristic
167	#1933	C₂²	1	1	yes	characteristic
168	#1933	C₂²	1	1	yes	characteristic
169	#1933	C₂²	1	1	yes	characteristic
170	#1917	C₂²	1	1	yes	characteristic
171	#1917	C₂²	1	1	yes	characteristic
172	#1916	C₂²	1	1	yes	characteristic
173	#1916	C₂²	1	1	yes	characteristic
174	#1878	C₂²	1	1	yes	characteristic
175	#1878	C₂²	1	1	yes	characteristic
176	#1878	C₂²	1	1	yes	characteristic
177	#1878	C₂²	1	1	yes	characteristic
178	#1878	C₂²	1	1	yes	characteristic
179	#1878	C₂²	1	1	yes	characteristic
180	#1878	C₂²	1	1	yes	characteristic
181	#1878	C₂²	1	1	yes	characteristic
182	#1878	C₂²	1	1	yes	characteristic
183	#1877	C₂²	1	1	yes	characteristic
184	#1877	C₂²	1	1	yes	characteristic
185	#1877	C₂²	1	1	yes	characteristic
186	#1877	C₂²	1	1	yes	characteristic
187	#1877	C₂²	1	1	yes	characteristic
188	#1865	C₂²	1	1	yes	characteristic
189	#1865	C₂²	1	1	yes	characteristic
190	#1865	C₂²	1	1	yes	characteristic
191	#1863	C₂²	1	1	yes	characteristic
192	#1863	C₂²	1	1	yes	characteristic
193	#1863	C₂²	1	1	yes	characteristic
194	#1863	C₂²	1	1	yes	characteristic
195	#1862	C₂²	1	1	yes	characteristic
196	#1862	C₂²	1	1	yes	characteristic
197	#1862	C₂²	1	1	yes	characteristic
198	#1805	C₂²	1	1	yes	characteristic
199	#1770	C₂²	1	1	yes	characteristic
200	C₈×C₄⋊C₄	C₂²	1	1	yes	characteristic
201	#1767	C₂²	1	1	yes	characteristic
202	C₄×C₄⋊C₈	C₂²	1	1	yes	characteristic
203	#1763	C₂²	1	1	yes	characteristic
204	#1763	C₂²	1	1	yes	characteristic
205	C₂²×Q₁₆	C₂³	1	1	yes	characteristic
206	C₂²×Q₁₆	C₂³	1	1	yes	characteristic
207	C₂²×Q₁₆	C₂³	1	1	yes	characteristic
208	C₂²×Q₁₆	C₂³	1	1	yes	characteristic
209	C₂²×Q₁₆	C₂³	1	1	yes	characteristic
210	C₂²×Q₁₆	C₂³	1	1	yes	characteristic
211	C₂²×Q₁₆	C₂³	1	1	yes	characteristic
212	C₂²×Q₁₆	C₂³	1	1	yes	characteristic
213	C₂²×Q₁₆	C₂³	1	1	yes	characteristic
214	C₂²×SD₁₆	C₂³	1	1	yes	characteristic
215	C₂²×SD₁₆	C₂³	1	1	yes	characteristic
216	C₂²×SD₁₆	C₂³	1	1	yes	characteristic
217	#557	—	2	4	no	—
218	#557	—	2	4	no	—
219	#557	—	4	2	no	—
220	#557	—	4	2	no	—
221	#556	—	2	4	no	—
222	#556	—	2	4	no	—
223	#556	—	4	2	no	—
224	#556	—	4	2	no	—
225	C₂×C₄⋊Q₈	—	2	1	no	—
226	C₂×C₄⋊Q₈	—	2	1	no	—
227	C₂×C₄⋊Q₈	D₄	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⋊Q₈	C₂³	1	1	yes	characteristic
235	C₂×#126	—	2	1	no	—
236	C₂×#126	—	2	1	no	—
237	C₂×#126	—	2	1	no	—
238	C₂×#126	—	2	1	no	—
239	C₂×#125	—	2	1	no	—
240	C₂×#125	—	2	1	no	—
241	C₂×#125	—	2	1	no	—
242	C₂×#125	—	2	1	no	—
243	C₂×#125	—	2	1	no	—
244	C₂×#125	C₂³	1	1	yes	characteristic
245	C₂×#125	C₂³	1	1	yes	characteristic
246	C₂×#124	C₂³	1	1	yes	characteristic
247	C₂×#124	C₂³	1	1	yes	characteristic
248	C₂×#124	C₂³	1	1	yes	characteristic
249	C₂×C₂²⋊Q₈	—	2	1	no	—
250	C₂×C₂²⋊Q₈	—	2	1	no	—
251	C₂×C₄×Q₈	—	2	1	no	—
252	C₂×C₄×Q₈	—	2	1	no	—
253	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
254	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
255	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
256	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
257	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
258	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
259	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
260	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
261	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
262	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
263	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
264	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
265	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
266	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
267	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
268	C₂×#117	—	2	1	no	—
269	C₂×#117	—	2	1	no	—
270	C₂²×C₄⋊C₄	—	2	1	no	—
271	#497	—	2	4	no	—
272	#497	—	2	4	no	—
273	#494	—	2	4	no	—
274	#491	—	2	4	no	—
275	#489	—	2	4	no	—
276	#488	—	2	4	no	—
277	#479	—	2	4	no	—
278	#478	—	2	4	no	—
279	#477	—	2	4	no	—
280	#477	—	4	2	no	—
281	#464	—	2	4	no	—
282	#464	—	2	4	no	—
283	#464	D₄	1	8	yes	—
284	#462	—	2	4	no	—
285	#462	—	2	4	no	—
286	#462	—	2	4	no	—
287	#462	—	2	4	no	—
288	#462	—	4	2	no	—
289	#461	—	2	4	no	—
290	#446	—	2	4	no	—
291	#446	—	2	4	no	—
292	#441	—	2	4	no	—
293	#441	—	2	4	no	—
294	#441	—	2	4	no	—
295	#440	—	2	4	no	—
296	C₄×Q₁₆	—	2	4	no	—
297	C₄×SD₁₆	—	2	4	no	—
298	C₂×#107	C₂³	1	1	yes	characteristic
299	C₂×#107	C₂³	1	1	yes	characteristic
300	C₂×#107	C₂³	1	1	yes	characteristic
301	C₂×#107	C₂³	1	1	yes	characteristic
302	C₂×#107	C₂³	1	1	yes	characteristic
303	C₂×#106	C₂³	1	1	yes	characteristic
304	C₂×#106	C₂³	1	1	yes	characteristic
305	C₂×#106	C₂³	1	1	yes	characteristic
306	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
307	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
308	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
309	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
310	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
311	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
312	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
313	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
314	C₂×#103	C₂³	1	1	yes	characteristic
315	C₂×#103	C₂³	1	1	yes	characteristic
316	C₂×#103	C₂³	1	1	yes	characteristic
317	C₂×#103	C₂³	1	1	yes	characteristic
318	C₂×#103	C₂³	1	1	yes	characteristic
319	C₂×#103	C₂³	1	1	yes	characteristic
320	C₂×#103	C₂³	1	1	yes	characteristic
321	C₂×#103	C₂³	1	1	yes	characteristic
322	C₂×#103	C₂³	1	1	yes	characteristic
323	C₂×#103	C₂³	1	1	yes	characteristic
324	C₂×#103	C₂³	1	1	yes	characteristic
325	C₂×#103	C₂³	1	1	yes	characteristic
326	C₂×#103	C₂³	1	1	yes	characteristic
327	C₂×#103	C₂³	1	1	yes	characteristic
328	C₂×#103	C₂³	1	1	yes	characteristic
329	C₂×#103	C₂³	1	1	yes	characteristic
330	C₂×#103	C₂³	1	1	yes	characteristic
331	C₂×#103	C₂³	1	1	yes	characteristic
332	C₂×#103	C₂³	1	1	yes	characteristic
333	C₂×#103	C₂³	1	1	yes	characteristic
334	C₂×#103	C₂³	1	1	yes	characteristic
335	C₂×#103	C₂³	1	1	yes	characteristic
336	C₂×#103	C₂³	1	1	yes	characteristic
337	C₂×#103	C₂³	1	1	yes	characteristic
338	C₂×#103	C₂³	1	1	yes	characteristic
339	C₂×#103	C₂³	1	1	yes	characteristic
340	C₂×#103	C₂³	1	1	yes	characteristic
341	C₂×#102	C₂³	1	1	yes	characteristic
342	C₂×#102	C₂³	1	1	yes	characteristic
343	C₂×#102	C₂³	1	1	yes	characteristic
344	C₂×#102	C₂³	1	1	yes	characteristic
345	C₂×#102	C₂³	1	1	yes	characteristic
346	C₂×#97	C₂³	1	1	yes	characteristic
347	C₂×#97	C₂³	1	1	yes	characteristic
348	C₂×#97	C₂³	1	1	yes	characteristic
349	C₂×#97	C₂³	1	1	yes	characteristic
350	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
351	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
352	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
353	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
354	#400	—	2	1	no	—
355	#400	—	2	1	no	—
356	#400	—	2	1	no	—
357	#400	—	2	1	no	—
358	#400	—	2	1	no	—
359	#400	—	2	1	no	—
360	#400	—	2	1	no	—
361	#400	—	2	1	no	—
362	#400	—	2	1	no	—
363	#400	—	2	1	no	—
364	#400	—	2	1	no	—
365	#400	—	2	1	no	—
366	#400	—	2	1	no	—
367	#400	—	2	1	no	—
368	#398	—	2	1	no	—
369	#398	—	2	1	no	—
370	#398	—	2	1	no	—
371	#398	—	2	1	no	—
372	#398	—	2	1	no	—
373	#398	—	2	1	no	—
374	#398	—	2	1	no	—
375	#398	—	2	1	no	—
376	#398	—	2	1	no	—
377	#398	—	2	1	no	—
378	#398	—	2	1	no	—
379	#398	—	2	1	no	—
380	#398	—	2	1	no	—
381	#398	—	2	1	no	—
382	#397	—	2	1	no	—
383	#397	—	2	1	no	—
384	#397	—	2	1	no	—
385	#397	—	2	1	no	—
386	#397	—	2	1	no	—
387	#397	—	2	1	no	—
388	#395	—	2	1	no	—
389	#395	—	2	1	no	—
390	#391	—	2	1	no	—
391	#391	—	2	1	no	—
392	#391	—	2	1	no	—
393	#391	—	2	1	no	—
394	#391	D₄	1	1	yes	characteristic
395	#391	D₄	1	1	yes	characteristic
396	#391	C₂³	1	1	yes	characteristic
397	#391	C₂³	1	1	yes	characteristic
398	#391	C₂³	1	1	yes	characteristic
399	#391	C₂³	1	1	yes	characteristic
400	#391	C₂³	1	1	yes	characteristic
401	#391	C₂³	1	1	yes	characteristic
402	#391	C₂³	1	1	yes	characteristic
403	#391	C₂³	1	1	yes	characteristic
404	#391	C₂³	1	1	yes	characteristic
405	#391	C₂³	1	1	yes	characteristic
406	#391	C₂³	1	1	yes	characteristic
407	#391	C₂³	1	1	yes	characteristic
408	#391	C₂³	1	1	yes	characteristic
409	#391	C₂³	1	1	yes	characteristic
410	#391	C₂³	1	1	yes	characteristic
411	#391	C₂³	1	1	yes	characteristic
412	#391	C₂³	1	1	yes	characteristic
413	#390	C₂³	1	1	yes	characteristic
414	#389	—	2	1	no	—
415	#389	—	2	1	no	—
416	#389	—	2	1	no	—
417	#389	—	2	1	no	—
418	#389	—	2	1	no	—
419	#389	—	2	1	no	—
420	#389	—	2	1	no	—
421	#389	—	2	1	no	—
422	#389	—	2	1	no	—
423	#389	—	2	1	no	—
424	#389	D₄	1	1	yes	characteristic
425	#389	D₄	1	1	yes	characteristic
426	#389	D₄	1	1	yes	characteristic
427	#389	D₄	1	1	yes	characteristic
428	#389	C₂³	1	1	yes	characteristic
429	#389	C₂³	1	1	yes	characteristic
430	#389	C₂³	1	1	yes	characteristic
431	#389	C₂³	1	1	yes	characteristic
432	#389	C₂³	1	1	yes	characteristic
433	#389	C₂³	1	1	yes	characteristic
434	#389	C₂³	1	1	yes	characteristic
435	#389	C₂³	1	1	yes	characteristic
436	#389	C₂³	1	1	yes	characteristic
437	#389	C₂³	1	1	yes	characteristic
438	#388	—	2	1	no	—
439	#388	—	2	1	no	—
440	#387	—	2	1	no	—
441	#387	—	2	1	no	—
442	#387	—	2	1	no	—
443	#387	—	2	1	no	—
444	#387	—	2	1	no	—
445	#387	—	2	1	no	—
446	#387	—	2	1	no	—
447	#387	—	2	1	no	—
448	#387	—	2	1	no	—
449	#387	—	2	1	no	—
450	#387	—	2	1	no	—
451	#387	—	2	1	no	—
452	#387	—	2	1	no	—
453	#387	—	2	1	no	—
454	#387	—	2	1	no	—
455	#387	—	2	1	no	—
456	#387	—	2	1	no	—
457	#387	—	2	1	no	—
458	#387	—	2	1	no	—
459	#387	—	2	1	no	—
460	#387	—	2	1	no	—
461	#387	—	2	1	no	—
462	#385	—	2	1	no	—
463	#385	—	2	1	no	—
464	#385	—	2	1	no	—
465	#385	—	2	1	no	—
466	#384	—	2	1	no	—
467	#384	D₄	1	1	yes	characteristic
468	#384	C₂³	1	1	yes	characteristic
469	#382	—	2	1	no	—
470	#382	—	2	1	no	—
471	#382	—	2	1	no	—
472	#382	C₂³	1	1	yes	characteristic
473	#381	—	2	1	no	—
474	#381	—	2	1	no	—
475	#380	—	2	1	no	—
476	#380	—	2	1	no	—
477	#380	—	2	1	no	—
478	C₄×C₄⋊C₄	—	2	1	no	—
479	C₄×C₄⋊C₄	—	2	1	no	—
480	C₄×C₄⋊C₄	—	2	1	no	—
481	C₄×C₄⋊C₄	—	2	1	no	—
482	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
483	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
484	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
485	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
486	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
487	C₄×C₂²⋊C₄	—	2	1	no	—
488	C₄×C₂²⋊C₄	—	2	1	no	—
489	#376	—	2	1	no	—
490	C₄³	C₂³	1	1	yes	characteristic
491	#340	C₂³	1	1	yes	characteristic
492	#340	C₂³	1	1	yes	characteristic
493	#340	C₂³	1	1	yes	characteristic
494	#340	C₂³	1	1	yes	characteristic
495	#340	C₂³	1	1	yes	characteristic
496	#340	C₂³	1	1	yes	characteristic
497	#340	C₂³	1	1	yes	characteristic
498	#340	C₂³	1	1	yes	characteristic
499	#340	C₂³	1	1	yes	characteristic
500	#340	C₂³	1	1	yes	characteristic
501	#340	C₂³	1	1	yes	characteristic
502	#340	C₂³	1	1	yes	characteristic
503	#336	C₂³	1	1	yes	characteristic
504	#336	C₂³	1	1	yes	characteristic
505	#336	C₂³	1	1	yes	characteristic
506	#336	C₂³	1	1	yes	characteristic
507	#336	C₂³	1	1	yes	characteristic
508	#336	C₂³	1	1	yes	characteristic
509	#336	C₂³	1	1	yes	characteristic
510	#336	C₂³	1	1	yes	characteristic
511	#336	C₂³	1	1	yes	characteristic
512	#336	C₂³	1	1	yes	characteristic
513	#336	C₂³	1	1	yes	characteristic
514	#336	C₂³	1	1	yes	characteristic
515	C₂²×Q₈	—	2	1	no	—
516	C₂²×Q₈	C₂×D₄	1	1	yes	characteristic
517	C₂²×Q₈	C₂×D₄	1	1	yes	characteristic
518	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
519	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
520	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
521	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
522	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
523	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
524	C₂²×D₄	C₂⁴	1	1	yes	characteristic
525	C₂³×C₄	—	2	1	no	—
526	C₂³×C₄	—	2	1	no	—
527	C₂³×C₄	—	2	1	no	—
528	C₂×Q₁₆	—	2	2	no	—
529	C₂×Q₁₆	—	2	2	no	—
530	C₂×Q₁₆	—	2	2	no	—
531	C₂×Q₁₆	—	2	2	no	—
532	C₂×Q₁₆	—	2	2	no	—
533	C₂×Q₁₆	—	2	2	no	—
534	C₂×Q₁₆	—	2	2	no	—
535	C₂×Q₁₆	—	2	2	no	—
536	C₂×Q₁₆	—	4	1	no	—
537	C₂×Q₁₆	—	4	1	no	—
538	C₂×Q₁₆	—	4	1	no	—
539	C₂×Q₁₆	—	4	1	no	—
540	C₂×Q₁₆	—	4	1	no	—
541	C₂×Q₁₆	—	4	1	no	—
542	C₂×Q₁₆	—	4	1	no	—
543	C₂×Q₁₆	—	4	1	no	—
544	C₂×Q₁₆	—	4	1	no	—
545	C₂×Q₁₆	—	4	1	no	—
546	C₂×Q₁₆	—	4	1	no	—
547	C₂×Q₁₆	—	4	1	no	—
548	C₂×Q₁₆	—	4	1	no	—
549	C₂×Q₁₆	—	4	1	no	—
550	C₂×Q₁₆	—	4	1	no	—
551	C₂×Q₁₆	—	4	1	no	—
552	C₂×Q₁₆	—	4	1	no	—
553	C₂×Q₁₆	—	4	1	no	—
554	C₂×Q₁₆	C₂×D₄	1	4	yes	—
555	C₂×SD₁₆	—	2	2	no	—
556	C₂×SD₁₆	—	2	2	no	—
557	C₂×SD₁₆	—	2	2	no	—
558	C₂×SD₁₆	—	4	1	no	—
559	C₂×SD₁₆	—	4	1	no	—
560	C₂×SD₁₆	—	4	1	no	—
561	C₂×SD₁₆	—	4	1	no	—
562	C₂×SD₁₆	—	4	1	no	—
563	C₂×SD₁₆	C₂×D₄	1	4	yes	—
564	C₂²×C₈	C₂⁴	1	1	yes	characteristic
565	C₂²×C₈	C₂⁴	1	1	yes	characteristic
566	C₂²×C₈	C₂⁴	1	1	yes	characteristic
567	C₂²×C₈	C₂⁴	1	1	yes	characteristic
568	C₂²×C₈	C₂⁴	1	1	yes	characteristic
569	C₂²×C₈	C₂⁴	1	1	yes	characteristic
570	C₂²×C₈	C₂⁴	1	1	yes	characteristic
571	C₂²×C₈	C₂⁴	1	1	yes	characteristic
572	C₄⋊Q₈	—	2	2	no	—
573	C₄⋊Q₈	—	2	2	no	—
574	C₄⋊Q₈	—	2	2	no	—
575	C₄⋊Q₈	—	2	2	no	—
576	C₄⋊Q₈	—	2	2	no	—
577	C₄⋊Q₈	—	2	2	no	—
578	C₄⋊Q₈	—	2	2	no	—
579	C₄⋊Q₈	—	2	2	no	—
580	C₄⋊Q₈	—	4	1	no	—
581	C₄⋊Q₈	—	4	1	no	—
582	C₄⋊Q₈	—	4	1	no	—
583	C₄⋊Q₈	—	4	1	no	—
584	C₄⋊Q₈	—	4	1	no	—
585	C₄⋊Q₈	—	4	1	no	—
586	C₄⋊Q₈	—	4	4	no	—
587	C₄⋊Q₈	—	4	2	no	—
588	C₄⋊Q₈	—	4	4	no	—
589	#126	—	4	4	no	—
590	#126	—	4	4	no	—
591	#126	—	4	4	no	—
592	#126	—	4	4	no	—
593	#125	—	2	2	no	—
594	#125	—	2	2	no	—
595	#125	—	4	1	no	—
596	#125	—	4	1	no	—
597	#125	—	4	4	no	—
598	#125	—	4	4	no	—
599	#125	—	4	4	no	—
600	#125	—	4	4	no	—
601	#125	—	4	4	no	—
602	#124	—	2	2	no	—
603	#124	—	2	2	no	—
604	#124	—	2	2	no	—
605	#124	—	4	1	no	—
606	#124	—	4	1	no	—
607	#124	C₂×D₄	1	4	yes	—
608	C₂²⋊Q₈	—	4	4	no	—
609	C₂²⋊Q₈	—	4	4	no	—
610	C₄×Q₈	—	2	2	no	—
611	C₄×Q₈	—	2	2	no	—
612	C₄×Q₈	—	2	2	no	—
613	C₄×Q₈	—	2	2	no	—
614	C₄×Q₈	—	2	2	no	—
615	C₄×Q₈	—	2	2	no	—
616	C₄×Q₈	—	2	2	no	—
617	C₄×Q₈	—	2	2	no	—
618	C₄×Q₈	—	2	2	no	—
619	C₄×Q₈	—	2	2	no	—
620	C₄×Q₈	—	2	2	no	—
621	C₄×Q₈	—	2	2	no	—
622	C₄×Q₈	—	2	2	no	—
623	C₄×Q₈	—	2	2	no	—
624	C₄×Q₈	—	2	2	no	—
625	C₄×Q₈	—	4	1	no	—
626	C₄×Q₈	—	4	1	no	—
627	C₄×Q₈	—	4	1	no	—
628	C₄×Q₈	—	4	1	no	—
629	C₄×Q₈	—	4	1	no	—
630	C₄×Q₈	—	4	1	no	—
631	C₄×Q₈	—	4	1	no	—
632	C₄×Q₈	—	4	1	no	—
633	C₄×Q₈	—	4	4	no	—
634	C₄×Q₈	—	4	4	no	—
635	C₄×Q₈	C₂×D₄	1	4	yes	—
636	C₄×D₄	—	2	2	no	—
637	C₄×D₄	—	2	2	no	—
638	C₄×D₄	—	4	1	no	—
639	C₄×D₄	—	4	1	no	—
640	C₄×D₄	—	4	1	no	—
641	C₄×D₄	—	4	1	no	—
642	#117	—	4	4	no	—
643	#117	—	4	4	no	—
644	C₂×C₄⋊C₄	—	2	1	no	—
645	C₂×C₄⋊C₄	—	2	1	no	—
646	C₂×C₄⋊C₄	—	2	1	no	—
647	C₂×C₄⋊C₄	—	2	1	no	—
648	C₂×C₄⋊C₄	—	2	1	no	—
649	C₂×C₄⋊C₄	—	2	1	no	—
650	C₂×C₄⋊C₄	—	2	1	no	—
651	C₂×C₄⋊C₄	—	2	1	no	—
652	C₂×C₄⋊C₄	—	2	1	no	—
653	C₂×C₄⋊C₄	—	2	1	no	—
654	C₂×C₄⋊C₄	—	2	1	no	—
655	C₂×C₄⋊C₄	—	2	1	no	—
656	C₂×C₄⋊C₄	—	2	1	no	—
657	C₂×C₄⋊C₄	—	2	1	no	—
658	C₂×C₄⋊C₄	—	2	1	no	—
659	C₂×C₄⋊C₄	—	2	1	no	—
660	C₂×C₄⋊C₄	—	2	1	no	—
661	C₂×C₄⋊C₄	—	2	1	no	—
662	C₂×C₄⋊C₄	—	2	1	no	—
663	C₂×C₄⋊C₄	—	2	1	no	—
664	C₂×C₄⋊C₄	—	2	1	no	—
665	C₂×C₄⋊C₄	—	2	1	no	—
666	C₂×C₄⋊C₄	—	2	1	no	—
667	C₂×C₄⋊C₄	—	2	1	no	—
668	C₂×C₄⋊C₄	—	2	1	no	—
669	C₂×C₄⋊C₄	—	2	1	no	—
670	C₂×C₄⋊C₄	—	2	1	no	—
671	C₂×C₄⋊C₄	—	2	1	no	—
672	C₂×C₄⋊C₄	—	2	1	no	—
673	C₂×C₄⋊C₄	—	2	1	no	—
674	C₂×C₄⋊C₄	—	2	1	no	—
675	C₂×C₄⋊C₄	—	2	1	no	—
676	C₂×C₄⋊C₄	—	2	1	no	—
677	C₂×C₄⋊C₄	—	2	1	no	—
678	C₂×C₄⋊C₄	—	2	1	no	—
679	C₂×C₄⋊C₄	—	2	1	no	—
680	C₂×C₄⋊C₄	—	2	1	no	—
681	C₂×C₄⋊C₄	—	2	1	no	—
682	C₂×C₄⋊C₄	—	2	1	no	—
683	C₂×C₄⋊C₄	—	4	4	no	—
684	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
685	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
686	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
687	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
688	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
689	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
690	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
691	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
692	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
693	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
694	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
695	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
696	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
697	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
698	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
699	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
700	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
701	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
702	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
703	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
704	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
705	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
706	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
707	C₂×C₂²⋊C₄	—	2	1	no	—
708	C₂×C₂²⋊C₄	—	2	1	no	—
709	C₂×C₂²⋊C₄	—	2	1	no	—
710	C₂×C₂²⋊C₄	—	2	1	no	—
711	C₂×C₂²⋊C₄	—	2	1	no	—
712	C₂×C₂²⋊C₄	—	2	1	no	—
713	C₂×C₂²⋊C₄	—	2	1	no	—
714	C₂×C₂²⋊C₄	—	2	1	no	—
715	C₂×C₂²⋊C₄	—	2	1	no	—
716	C₂×C₂²⋊C₄	—	2	1	no	—
717	C₂×C₂²⋊C₄	—	2	1	no	—
718	C₂×C₄²	—	2	1	no	—
719	C₂×C₄²	—	2	1	no	—
720	C₂×C₄²	—	2	1	no	—
721	C₂×C₄²	—	2	1	no	—
722	C₂×C₄²	—	2	1	no	—
723	C₂×C₄²	—	2	1	no	—
724	C₂×C₄²	—	2	1	no	—
725	C₂×C₄²	—	2	1	no	—
726	C₂×C₄²	—	2	1	no	—
727	C₂×C₄²	—	2	1	no	—
728	C₂×C₄²	—	2	1	no	—
729	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
730	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
731	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
732	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
733	C₂×C₄²	C₂⁴	1	1	yes	characteristic
734	C₂×C₄²	C₂⁴	1	1	yes	characteristic
735	C₂×C₄²	C₂⁴	1	1	yes	characteristic
736	C₂×C₄²	C₂⁴	1	1	yes	characteristic
737	C₂×C₄²	C₂⁴	1	1	yes	characteristic
738	C₂×C₄²	C₂⁴	1	1	yes	characteristic
739	C₂×C₄²	C₂⁴	1	1	yes	characteristic
740	#107	—	2	2	no	—
741	#107	—	2	2	no	—
742	#107	—	4	1	no	—
743	#107	—	4	1	no	—
744	#107	—	4	1	no	—
745	#106	—	2	2	no	—
746	#106	—	2	2	no	—
747	#106	—	4	1	no	—
748	C₄⋊C₈	—	2	2	no	—
749	C₄⋊C₈	—	2	2	no	—
750	C₄⋊C₈	—	2	2	no	—
751	C₄⋊C₈	—	2	2	no	—
752	C₄⋊C₈	—	2	2	no	—
753	C₄⋊C₈	—	2	2	no	—
754	C₄⋊C₈	—	4	1	no	—
755	C₄⋊C₈	C₂×D₄	1	4	yes	—
756	#103	—	2	2	no	—
757	#103	—	2	2	no	—
758	#103	—	2	2	no	—
759	#103	—	2	2	no	—
760	#103	—	2	2	no	—
761	#103	—	2	2	no	—
762	#103	—	2	2	no	—
763	#103	—	2	2	no	—
764	#103	—	2	2	no	—
765	#103	—	2	2	no	—
766	#103	—	2	2	no	—
767	#103	—	4	1	no	—
768	#103	—	4	1	no	—
769	#103	—	4	1	no	—
770	#103	—	4	1	no	—
771	#103	—	4	1	no	—
772	#103	—	4	1	no	—
773	#103	—	4	1	no	—
774	#103	—	4	1	no	—
775	#103	—	4	1	no	—
776	#103	—	4	1	no	—
777	#103	—	4	1	no	—
778	#103	—	4	1	no	—
779	#103	—	4	1	no	—
780	#103	—	4	1	no	—
781	#103	—	4	1	no	—
782	#103	C₂×D₄	1	4	yes	—
783	#102	—	2	2	no	—
784	#102	—	2	2	no	—
785	#102	—	4	1	no	—
786	#102	—	4	1	no	—
787	#102	C₂×D₄	1	4	yes	—
788	#97	—	2	2	no	—
789	#97	—	2	2	no	—
790	#97	—	2	2	no	—
791	#97	—	2	2	no	—
792	C₄×C₈	—	2	2	no	—
793	C₄×C₈	—	2	2	no	—
794	C₄×C₈	—	4	1	no	—
795	C₄×C₈	—	4	1	no	—
796	#95	—	2	1	no	—
797	#95	—	2	1	no	—
798	#95	—	2	1	no	—
799	#95	—	2	1	no	—
800	#95	—	2	1	no	—
801	#95	—	2	1	no	—
802	#95	—	2	1	no	—
803	#95	—	2	1	no	—
804	#95	—	2	1	no	—
805	#95	—	2	1	no	—
806	#95	—	2	1	no	—
807	#95	—	2	1	no	—
808	#95	—	2	1	no	—
809	#95	—	2	1	no	—
810	#95	—	2	1	no	—
811	#95	—	2	1	no	—
812	#95	—	2	1	no	—
813	#95	—	2	1	no	—
814	#95	—	2	1	no	—
815	#95	—	2	1	no	—
816	#95	—	2	1	no	—
817	#95	—	2	1	no	—
818	#95	—	2	1	no	—
819	#95	—	2	1	no	—
820	#95	—	2	1	no	—
821	#95	—	2	1	no	—
822	#95	—	2	1	no	—
823	#95	—	2	1	no	—
824	#95	—	2	1	no	—
825	#95	—	2	1	no	—
826	#95	—	2	1	no	—
827	#95	—	2	1	no	—
828	#95	—	2	1	no	—
829	#95	—	2	1	no	—
830	#95	—	2	1	no	—
831	#95	—	2	1	no	—
832	#95	—	2	1	no	—
833	#95	—	2	1	no	—
834	#95	—	2	1	no	—
835	#95	—	2	1	no	—
836	#95	—	2	1	no	—
837	#95	—	2	1	no	—
838	#95	—	2	1	no	—
839	#95	—	2	1	no	—
840	#95	—	2	1	no	—
841	#95	—	2	1	no	—
842	#95	—	2	1	no	—
843	#95	C₂×D₄	1	1	yes	characteristic
844	#95	C₂×D₄	1	1	yes	characteristic
845	#95	C₂×D₄	1	1	yes	characteristic
846	#95	C₂×D₄	1	1	yes	characteristic
847	#95	C₂×D₄	1	1	yes	characteristic
848	#95	C₂×D₄	1	1	yes	characteristic
849	#95	C₂×D₄	1	1	yes	characteristic
850	#95	C₂×D₄	1	1	yes	characteristic
851	C₂⁴	—	2	1	no	—
852	C₂×Q₈	—	2	2	no	—
853	C₂×Q₈	—	2	2	no	—
854	C₂×Q₈	—	2	2	no	—
855	C₂×Q₈	—	2	1	no	—
856	C₂×Q₈	—	2	1	no	—
857	C₂×Q₈	—	2	1	no	—
858	C₂×Q₈	—	2	1	no	—
859	C₂×Q₈	—	2	1	no	—
860	C₂×Q₈	—	2	1	no	—
861	C₂×Q₈	—	2	1	no	—
862	C₂×Q₈	—	2	1	no	—
863	C₂×Q₈	—	2	1	no	—
864	C₂×Q₈	—	2	1	no	—
865	C₂×Q₈	—	2	1	no	—
866	C₂×Q₈	—	2	1	no	—
867	C₂×Q₈	—	2	1	no	—
868	C₂×Q₈	—	2	1	no	—
869	C₂×Q₈	—	2	1	no	—
870	C₂×Q₈	—	2	1	no	—
871	C₂×Q₈	—	2	1	no	—
872	C₂×Q₈	—	2	1	no	—
873	C₂×Q₈	—	2	1	no	—
874	C₂×Q₈	—	2	1	no	—
875	C₂×Q₈	—	2	1	no	—
876	C₂×Q₈	—	2	1	no	—
877	C₂×Q₈	—	2	1	no	—
878	C₂×Q₈	—	2	1	no	—
879	C₂×Q₈	—	2	1	no	—
880	C₂×Q₈	—	2	1	no	—
881	C₂×Q₈	—	2	1	no	—
882	C₂×Q₈	—	2	1	no	—
883	C₂×Q₈	—	2	1	no	—
884	C₂×Q₈	—	2	1	no	—
885	C₂×Q₈	—	2	1	no	—
886	C₂×Q₈	—	2	1	no	—
887	C₂×Q₈	—	2	1	no	—
888	C₂×Q₈	—	2	1	no	—
889	C₂×Q₈	—	4	1	no	—
890	C₂×Q₈	—	4	1	no	—
891	C₂×Q₈	—	4	1	no	—
892	C₂×Q₈	—	4	2	no	—
893	C₂×Q₈	—	4	2	no	—
894	C₂×Q₈	—	4	2	no	—
895	C₂×Q₈	C₂²×D₄	1	2	yes	—
896	C₂×Q₈	C₂²×D₄	1	2	yes	—
897	C₂×D₄	—	2	1	no	—
898	C₂×D₄	—	2	1	no	—
899	C₂×D₄	—	2	1	no	—
900	C₂×D₄	—	2	1	no	—
901	C₂×D₄	—	2	1	no	—
902	C₂×D₄	C₂²×D₄	1	2	yes	—
903	C₂²×C₄	—	2	1	no	—
904	C₂²×C₄	—	2	1	no	—
905	C₂²×C₄	—	2	1	no	—
906	C₂²×C₄	—	2	1	no	—
907	C₂²×C₄	—	2	1	no	—
908	C₂²×C₄	—	2	1	no	—
909	C₂²×C₄	—	2	1	no	—
910	C₂²×C₄	—	2	1	no	—
911	C₂²×C₄	—	2	1	no	—
912	C₂²×C₄	—	2	1	no	—
913	C₂²×C₄	—	2	1	no	—
914	C₂²×C₄	—	2	1	no	—
915	C₂²×C₄	—	2	1	no	—
916	C₂²×C₄	—	2	1	no	—
917	C₂²×C₄	—	2	1	no	—
918	C₂²×C₄	—	4	2	no	—
919	C₂²×C₄	—	4	2	no	—
920	C₂²×C₄	—	4	2	no	—
921	C₂²×C₄	—	4	2	no	—
922	C₂²×C₄	—	4	2	no	—
923	C₂²×C₄	—	4	2	no	—
924	C₂²×C₄	—	4	2	no	—
925	C₂²×C₄	—	8	1	no	—
926	C₂²×C₄	—	8	1	no	—
927	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
928	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
929	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
930	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
931	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
932	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
933	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
934	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
935	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
936	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
937	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
938	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
939	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
940	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
941	C₂²×C₄	C₂⁵	1	1	yes	characteristic
942	Q₁₆	—	4	4	no	—
943	Q₁₆	—	4	4	no	—
944	Q₁₆	—	4	4	no	—
945	Q₁₆	—	4	4	no	—
946	Q₁₆	—	8	2	no	—
947	Q₁₆	—	8	2	no	—
948	Q₁₆	—	8	2	no	—
949	Q₁₆	—	8	2	no	—
950	Q₁₆	—	8	2	no	—
951	SD₁₆	—	4	4	no	—
952	SD₁₆	—	4	4	no	—
953	SD₁₆	—	8	2	no	—
954	C₂×C₈	—	2	1	no	—
955	C₂×C₈	—	2	1	no	—
956	C₂×C₈	—	2	1	no	—
957	C₂×C₈	—	2	1	no	—
958	C₂×C₈	—	2	1	no	—
959	C₂×C₈	—	2	1	no	—
960	C₂×C₈	—	2	1	no	—
961	C₂×C₈	—	2	1	no	—
962	C₂×C₈	—	2	1	no	—
963	C₂×C₈	—	2	1	no	—
964	C₂×C₈	—	2	1	no	—
965	C₂×C₈	—	2	1	no	—
966	C₂×C₈	—	2	1	no	—
967	C₂×C₈	—	2	1	no	—
968	C₂×C₈	—	2	1	no	—
969	C₂×C₈	—	2	1	no	—
970	C₂×C₈	—	2	1	no	—
971	C₂×C₈	—	2	1	no	—
972	C₂×C₈	—	2	1	no	—
973	C₂×C₈	—	2	1	no	—
974	C₂×C₈	—	2	1	no	—
975	C₂×C₈	C₂²×D₄	1	2	yes	—
976	C₂×C₈	C₂²×D₄	1	2	yes	—
977	C₂×C₈	2₋¹⁺⁴	1	2	yes	—
978	C₄⋊C₄	—	2	4	no	—
979	C₄⋊C₄	—	2	2	no	—
980	C₄⋊C₄	—	2	2	no	—
981	C₄⋊C₄	—	2	2	no	—
982	C₄⋊C₄	—	2	2	no	—
983	C₄⋊C₄	—	2	2	no	—
984	C₄⋊C₄	—	2	2	no	—
985	C₄⋊C₄	—	2	2	no	—
986	C₄⋊C₄	—	2	2	no	—
987	C₄⋊C₄	—	2	2	no	—
988	C₄⋊C₄	—	2	2	no	—
989	C₄⋊C₄	—	2	2	no	—
990	C₄⋊C₄	—	2	2	no	—
991	C₄⋊C₄	—	2	1	no	—
992	C₄⋊C₄	—	2	1	no	—
993	C₄⋊C₄	—	2	1	no	—
994	C₄⋊C₄	—	2	1	no	—
995	C₄⋊C₄	—	2	1	no	—
996	C₄⋊C₄	—	2	1	no	—
997	C₄⋊C₄	—	2	1	no	—
998	C₄⋊C₄	—	2	1	no	—
999	C₄⋊C₄	—	2	1	no	—
1000	C₄⋊C₄	—	2	1	no	—
1001	C₄⋊C₄	—	2	1	no	—
1002	C₄⋊C₄	—	2	1	no	—
1003	C₄⋊C₄	—	2	1	no	—
1004	C₄⋊C₄	—	2	1	no	—
1005	C₄⋊C₄	—	2	1	no	—
1006	C₄⋊C₄	—	2	1	no	—
1007	C₄⋊C₄	—	2	1	no	—
1008	C₄⋊C₄	—	4	1	no	—
1009	C₄⋊C₄	—	4	1	no	—
1010	C₄⋊C₄	—	4	2	no	—
1011	C₄⋊C₄	—	4	2	no	—
1012	C₄⋊C₄	—	4	2	no	—
1013	C₄⋊C₄	—	4	2	no	—
1014	C₄⋊C₄	—	4	2	no	—
1015	C₄⋊C₄	—	4	2	no	—
1016	C₄⋊C₄	—	4	2	no	—
1017	C₄⋊C₄	—	4	2	no	—
1018	C₄⋊C₄	—	4	2	no	—
1019	C₄⋊C₄	—	4	2	no	—
1020	C₄⋊C₄	—	4	2	no	—
1021	C₄⋊C₄	—	4	2	no	—
1022	C₄⋊C₄	—	4	2	no	—
1023	C₄⋊C₄	—	4	2	no	—
1024	C₄⋊C₄	—	4	2	no	—
1025	C₄⋊C₄	—	4	2	no	—
1026	C₄⋊C₄	—	4	2	no	—
1027	C₄⋊C₄	—	4	2	no	—
1028	C₄⋊C₄	—	4	2	no	—
1029	C₄⋊C₄	—	4	2	no	—
1030	C₄⋊C₄	—	4	2	no	—
1031	C₄⋊C₄	—	4	2	no	—
1032	C₄⋊C₄	—	4	2	no	—
1033	C₄⋊C₄	—	4	2	no	—
1034	C₄⋊C₄	—	4	2	no	—
1035	C₄⋊C₄	—	4	2	no	—
1036	C₄⋊C₄	—	4	2	no	—
1037	C₄⋊C₄	—	4	2	no	—
1038	C₄⋊C₄	—	4	2	no	—
1039	C₄⋊C₄	—	4	2	no	—
1040	C₄⋊C₄	—	4	2	no	—
1041	C₄⋊C₄	—	4	2	no	—
1042	C₄⋊C₄	—	4	2	no	—
1043	C₄⋊C₄	—	4	2	no	—
1044	C₄⋊C₄	—	4	2	no	—
1045	C₄⋊C₄	—	8	1	no	—
1046	C₄⋊C₄	—	8	1	no	—
1047	C₄⋊C₄	—	8	1	no	—
1048	C₄⋊C₄	C₂²×D₄	1	2	yes	—
1049	C₂²⋊C₄	—	2	4	no	—
1050	C₂²⋊C₄	—	2	4	no	—
1051	C₂²⋊C₄	—	4	2	no	—
1052	C₂²⋊C₄	—	4	2	no	—
1053	C₂²⋊C₄	—	4	2	no	—
1054	C₂²⋊C₄	—	4	2	no	—
1055	C₂²⋊C₄	—	4	2	no	—
1056	C₂²⋊C₄	—	4	2	no	—
1057	C₂²⋊C₄	—	4	2	no	—
1058	C₂²⋊C₄	—	4	2	no	—
1059	C₂²⋊C₄	—	8	1	no	—
1060	C₄²	—	2	4	no	—
1061	C₄²	—	2	2	no	—
1062	C₄²	—	2	2	no	—
1063	C₄²	—	2	1	no	—
1064	C₄²	—	2	1	no	—
1065	C₄²	—	2	1	no	—
1066	C₄²	—	2	1	no	—
1067	C₄²	—	2	1	no	—
1068	C₄²	—	2	1	no	—
1069	C₄²	—	2	1	no	—
1070	C₄²	—	2	1	no	—
1071	C₄²	—	2	1	no	—
1072	C₄²	—	2	1	no	—
1073	C₄²	—	2	1	no	—
1074	C₄²	—	2	1	no	—
1075	C₄²	—	4	1	no	—
1076	C₄²	—	4	1	no	—
1077	C₄²	—	4	2	no	—
1078	C₄²	—	4	2	no	—
1079	C₄²	—	4	2	no	—
1080	C₄²	—	4	2	no	—
1081	C₄²	—	4	2	no	—
1082	C₄²	—	4	2	no	—
1083	C₄²	—	4	2	no	—
1084	C₄²	—	4	2	no	—
1085	C₄²	—	4	2	no	—
1086	C₄²	—	4	2	no	—
1087	C₄²	C₂²×D₄	1	2	yes	—
1088	C₄²	H(5,𝔽₂)	1	2	yes	—
1089	C₂³	—	2	2	no	—
1090	C₂³	—	4	1	no	—
1091	C₂³	—	4	1	no	—
1092	C₂³	—	4	1	no	—
1093	C₂³	—	4	1	no	—
1094	C₂³	—	4	1	no	—
1095	C₂³	—	4	1	no	—
1096	C₂³	C₂³×D₄	1	1	yes	characteristic
1097	Q₈	—	2	2	no	—
1098	Q₈	—	2	2	no	—
1099	Q₈	—	2	2	no	—
1100	Q₈	—	2	2	no	—
1101	Q₈	—	4	4	no	—
1102	Q₈	—	4	1	no	—
1103	Q₈	—	4	1	no	—
1104	Q₈	—	4	1	no	—
1105	Q₈	—	4	1	no	—
1106	Q₈	—	4	1	no	—
1107	Q₈	—	4	1	no	—
1108	Q₈	—	4	1	no	—
1109	Q₈	—	4	1	no	—
1110	Q₈	—	4	1	no	—
1111	Q₈	—	4	1	no	—
1112	Q₈	—	4	1	no	—
1113	Q₈	—	4	1	no	—
1114	Q₈	—	4	1	no	—
1115	Q₈	—	4	1	no	—
1116	Q₈	—	4	1	no	—
1117	Q₈	—	4	1	no	—
1118	Q₈	—	4	1	no	—
1119	Q₈	—	4	1	no	—
1120	Q₈	—	4	1	no	—
1121	Q₈	—	4	1	no	—
1122	Q₈	—	8	2	no	—
1123	Q₈	—	8	4	no	—
1124	D₄	—	2	2	no	—
1125	D₄	—	2	2	no	—
1126	D₄	—	4	1	no	—
1127	D₄	—	4	1	no	—
1128	C₂×C₄	—	2	1	no	—
1129	C₂×C₄	—	2	1	no	—
1130	C₂×C₄	—	2	1	no	—
1131	C₂×C₄	—	2	1	no	—
1132	C₂×C₄	—	2	1	no	—
1133	C₂×C₄	—	2	1	no	—
1134	C₂×C₄	—	2	1	no	—
1135	C₂×C₄	—	2	1	no	—
1136	C₂×C₄	—	2	1	no	—
1137	C₂×C₄	—	2	1	no	—
1138	C₂×C₄	—	2	1	no	—
1139	C₂×C₄	—	2	1	no	—
1140	C₂×C₄	—	2	1	no	—
1141	C₂×C₄	—	2	1	no	—
1142	C₂×C₄	—	2	1	no	—
1143	C₂×C₄	—	2	1	no	—
1144	C₂×C₄	—	2	1	no	—
1145	C₂×C₄	—	2	1	no	—
1146	C₂×C₄	—	2	1	no	—
1147	C₂×C₄	—	2	2	no	—
1148	C₂×C₄	—	2	2	no	—
1149	C₂×C₄	—	2	1	no	—
1150	C₂×C₄	—	2	1	no	—
1151	C₂×C₄	—	2	1	no	—
1152	C₂×C₄	—	2	2	no	—
1153	C₂×C₄	—	2	1	no	—
1154	C₂×C₄	—	2	1	no	—
1155	C₂×C₄	—	2	1	no	—
1156	C₂×C₄	—	2	1	no	—
1157	C₂×C₄	—	2	1	no	—
1158	C₂×C₄	—	2	1	no	—
1159	C₂×C₄	—	2	1	no	—
1160	C₂×C₄	—	2	1	no	—
1161	C₂×C₄	—	2	1	no	—
1162	C₂×C₄	—	2	1	no	—
1163	C₂×C₄	—	2	1	no	—
1164	C₂×C₄	—	2	1	no	—
1165	C₂×C₄	—	2	1	no	—
1166	C₂×C₄	—	2	1	no	—
1167	C₂×C₄	—	2	1	no	—
1168	C₂×C₄	—	4	1	no	—
1169	C₂×C₄	—	4	1	no	—
1170	C₂×C₄	—	4	1	no	—
1171	C₂×C₄	—	4	1	no	—
1172	C₂×C₄	—	4	1	no	—
1173	C₂×C₄	—	4	1	no	—
1174	C₂×C₄	—	4	1	no	—
1175	C₂×C₄	—	4	1	no	—
1176	C₂×C₄	—	4	1	no	—
1177	C₂×C₄	—	4	1	no	—
1178	C₂×C₄	—	4	1	no	—
1179	C₂×C₄	—	4	1	no	—
1180	C₂×C₄	—	4	1	no	—
1181	C₂×C₄	—	4	1	no	—
1182	C₂×C₄	—	4	1	no	—
1183	C₂×C₄	—	4	1	no	—
1184	C₂×C₄	—	4	1	no	—
1185	C₂×C₄	—	4	1	no	—
1186	C₂×C₄	—	4	1	no	—
1187	C₂×C₄	—	4	1	no	—
1188	C₂×C₄	—	4	1	no	—
1189	C₂×C₄	—	4	1	no	—
1190	C₂×C₄	—	4	1	no	—
1191	C₂×C₄	—	4	1	no	—
1192	C₂×C₄	—	4	1	no	—
1193	C₂×C₄	—	4	1	no	—
1194	C₂×C₄	—	4	1	no	—
1195	C₂×C₄	—	4	1	no	—
1196	C₂×C₄	—	4	1	no	—
1197	C₂×C₄	—	4	1	no	—
1198	C₂×C₄	—	4	1	no	—
1199	C₂×C₄	—	4	1	no	—
1200	C₂×C₄	—	4	1	no	—
1201	C₂×C₄	—	4	1	no	—
1202	C₂×C₄	—	4	1	no	—
1203	C₂×C₄	—	4	1	no	—
1204	C₂×C₄	—	4	1	no	—
1205	C₂×C₄	—	4	1	no	—
1206	C₂×C₄	—	4	1	no	—
1207	C₂×C₄	—	4	1	no	—
1208	C₂×C₄	—	4	1	no	—
1209	C₂×C₄	—	4	1	no	—
1210	C₂×C₄	—	8	4	no	—
1211	C₂×C₄	—	8	4	no	—
1212	C₂×C₄	—	8	4	no	—
1213	C₂×C₄	D₄²	1	2	yes	—
1214	C₂×C₄	D₄²	1	2	yes	—
1215	C₂×C₄	#575	1	2	yes	—
1216	C₂×C₄	#578	1	2	yes	—
1217	C₂×C₄	#578	1	2	yes	—
1218	C₂×C₄	C₂³×D₄	1	1	yes	characteristic
1219	C₂×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1220	C₂×C₄	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1221	C₂×C₄	#585	1	1	yes	characteristic
1222	C₂×C₄	#585	1	1	yes	characteristic
1223	C₂×C₄	#585	1	1	yes	characteristic
1224	C₈	—	2	2	no	—
1225	C₈	—	2	2	no	—
1226	C₈	—	2	2	no	—
1227	C₈	—	4	1	no	—
1228	C₈	—	4	1	no	—
1229	C₈	—	4	1	no	—
1230	C₈	—	4	1	no	—
1231	C₈	—	4	1	no	—
1232	C₂²	—	4	2	no	—
1233	C₂²	—	4	2	no	—
1234	C₂²	—	4	2	no	—
1235	C₂²	—	8	1	no	—
1236	C₂²	—	8	1	no	—
1237	C₂²	—	8	1	no	—
1238	C₂²	—	8	1	no	—
1239	C₂²	C₂×D₄²	1	1	yes	characteristic
1240	C₂²	#3487	1	1	yes	characteristic
1241	C₂²	#3497	1	1	yes	characteristic
1242	C₂²	C₂×#575	1	1	yes	characteristic
1243	C₂²	C₂×#578	1	1	yes	characteristic
1244	C₂²	C₂×#578	1	1	yes	characteristic
1245	C₂²	#3586	1	1	yes	characteristic
1246	C₄	—	2	2	no	—
1247	C₄	—	2	2	no	—
1248	C₄	—	2	2	no	—
1249	C₄	—	2	2	no	—
1250	C₄	—	2	2	no	—
1251	C₄	—	4	1	no	—
1252	C₄	—	4	1	no	—
1253	C₄	—	4	1	no	—
1254	C₄	—	4	1	no	—
1255	C₄	—	4	1	no	—
1256	C₄	—	4	1	no	—
1257	C₄	—	4	1	no	—
1258	C₄	—	4	2	no	—
1259	C₄	—	4	2	no	—
1260	C₄	—	4	2	no	—
1261	C₄	—	4	1	no	—
1262	C₄	—	4	1	no	—
1263	C₄	—	8	1	no	—
1264	C₄	—	8	1	no	—
1265	C₄	—	8	1	no	—
1266	C₄	—	8	1	no	—
1267	C₄	—	8	1	no	—
1268	C₄	—	8	1	no	—
1269	C₄	—	8	1	no	—
1270	C₄	—	8	1	no	—
1271	C₄	—	8	1	no	—
1272	C₄	—	8	1	no	—
1273	C₄	—	8	1	no	—
1274	C₄	—	8	1	no	—
1275	C₄	#3485	1	1	yes	characteristic
1276	C₄	#3489	1	1	yes	characteristic
1277	C₄	#3554	1	1	yes	characteristic
1278	C₄	#3562	1	1	yes	characteristic
1279	C₂	—	8	2	no	—
1280	C₂	#45241	1	1	yes	characteristic
1281	C₂	#61068	1	1	yes	characteristic
1282	C₂	#61091	1	1	yes	characteristic
1283	C₂	#61905	1	1	yes	characteristic
1284	C₂	#61915	1	1	yes	characteristic
1285	C₂	#62369	1	1	yes	characteristic
1286	C₂	#62406	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³	C₂³×D₄
commutator, Frattini, cosocle	C₂²×C₄	C₂⁵
prime radical	C₂²×D₄	C₂⁴
LCS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³ ◁ C₄×C₄⋊Q₈ ◁ G
LECS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁

Complements

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

N	H ≅ G/N	type
4. #39170	C₂	semidirect
6. #31213	C₂	semidirect
8. #31149	C₂	semidirect
9. #30896	C₂	semidirect
12. #30744	C₂	semidirect
14. #28373	C₂	semidirect
15. #26847	C₂	semidirect
17. #26395	C₂	semidirect
20. #26255	C₂	semidirect
22. #26171	C₂	semidirect
25. #25483	C₂	semidirect
26. #25306	C₂	semidirect
27. #24344	C₂	semidirect
28. #24203	C₂	semidirect
29. #23685	C₂	semidirect
30. #23151	C₂	semidirect

Maximal subgroups

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

subgroup	index
C₂×#3398	2
C₂×#3377	2
#59428	2
#39170	2
#31215	2
#31213	2
#31154	2
#31149	2
#30896	2
#30885	2
#30754	2
#30744	2
#28620	2
#28373	2
#26847	2
#26817	2
#26395	2
#26374	2
#26266	2
#26255	2
#26182	2
#26171	2
#25661	2
#25643	2
#25483	2
#25306	2
#24344	2
#24203	2
#23685	2
#23151	2
#22150	2