Subgroups — #6867933

Order 512.

1555 conjugacy classes of subgroups.

The subgroup lattice has 1279 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#36277	C₂	1	1	yes	maximal, characteristic
2	#34691	C₂	1	1	yes	maximal, characteristic
3	#33008	C₂	1	1	yes	maximal, characteristic, complemented
4	#31794	C₂	1	1	yes	maximal, characteristic
5	#31682	C₂	1	1	yes	maximal, characteristic
6	#31354	C₂	1	1	yes	maximal, characteristic, complemented
7	#31069	C₂	1	1	yes	maximal, characteristic
8	#31035	C₂	1	1	yes	maximal, characteristic
9	#30990	C₂	1	1	yes	maximal, characteristic, complemented
10	#30777	C₂	1	1	yes	maximal, characteristic, complemented
11	#30530	C₂	1	1	yes	maximal, characteristic, complemented
12	#30168	C₂	1	1	yes	maximal, characteristic, complemented
13	#30132	C₂	1	1	yes	maximal, characteristic, complemented
14	#29540	C₂	1	1	yes	maximal, characteristic, complemented
15	#29479	C₂	1	1	yes	maximal, characteristic, complemented
16	#29447	C₂	1	1	yes	maximal, characteristic, complemented
17	#29417	C₂	1	1	yes	maximal, characteristic, complemented
18	#29097	C₂	1	1	yes	maximal, characteristic, complemented
19	#28904	C₂	1	1	yes	maximal, characteristic, complemented
20	#27409	C₂	1	1	yes	maximal, characteristic, complemented
21	#27177	C₂	1	1	yes	maximal, characteristic, complemented
22	#26838	C₂	1	1	yes	maximal, characteristic, complemented
23	#26491	C₂	1	1	yes	maximal, characteristic, complemented
24	#25672	C₂	1	1	yes	maximal, characteristic, complemented
25	#25173	C₂	1	1	yes	maximal, characteristic, complemented
26	#24918	C₂	1	1	yes	maximal, characteristic, complemented
27	#23934	C₂	1	1	yes	maximal, characteristic, complemented
28	#22837	C₂	1	1	yes	maximal, characteristic
29	#22154	C₂	1	1	yes	maximal, characteristic, complemented
30	#22044	C₂	1	1	yes	maximal, characteristic, complemented
31	#21455	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#533	C₂²	1	1	yes	characteristic
33	C₂²×C₄×Q₈	C₂²	1	1	yes	characteristic
34	C₂×#498	C₂²	1	1	yes	characteristic
35	C₂×#487	C₂²	1	1	yes	characteristic
36	C₂×#483	C₂²	1	1	yes	characteristic
37	C₂×#462	C₂²	1	1	yes	characteristic
38	C₂×#451	C₂²	1	1	yes	characteristic
39	C₂×#451	C₂²	1	1	yes	characteristic
40	C₂×#451	C₂²	1	1	yes	characteristic
41	C₂×#451	C₂²	1	1	yes	characteristic
42	C₂×#451	C₂²	1	1	yes	characteristic
43	C₂×#441	C₂²	1	1	yes	characteristic
44	C₂×#441	C₂²	1	1	yes	characteristic
45	#2863	C₂²	1	1	yes	characteristic
46	#2857	C₂²	1	1	yes	characteristic
47	#2855	C₂²	1	1	yes	characteristic
48	#2607	—	2	1	no	—
49	#2605	—	2	1	no	—
50	#2589	—	2	1	no	—
51	#2588	—	2	1	no	—
52	#2569	—	2	1	no	—
53	#2564	—	2	1	no	—
54	#2511	C₂²	1	1	yes	characteristic
55	#2492	C₂²	1	1	yes	characteristic
56	#2487	C₂²	1	1	yes	characteristic
57	#2473	—	2	1	no	—
58	#2465	—	2	1	no	—
59	#2462	—	2	1	no	—
60	#2451	C₂²	1	1	yes	characteristic
61	#2451	C₂²	1	1	yes	characteristic
62	#2449	—	2	1	no	—
63	#2446	C₂²	1	1	yes	characteristic
64	#2440	C₂²	1	1	yes	characteristic
65	#2434	C₂²	1	1	yes	characteristic
66	#2429	C₂²	1	1	yes	characteristic
67	#2423	C₂²	1	1	yes	characteristic
68	#2423	C₂²	1	1	yes	characteristic
69	#2417	C₂²	1	1	yes	characteristic
70	#2409	C₂²	1	1	yes	characteristic
71	#2409	C₂²	1	1	yes	characteristic
72	#2399	—	2	1	no	—
73	#2396	—	2	1	no	—
74	#2368	—	2	1	no	—
75	#2353	—	2	1	no	—
76	#2345	C₂²	1	1	yes	characteristic
77	Q₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic
78	C₄×C₄⋊Q₈	C₂²	1	1	yes	characteristic
79	C₄×C₂²⋊Q₈	—	2	1	no	—
80	C₄×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
81	C₄×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
82	C₄×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
83	#2295	C₂²	1	1	yes	characteristic
84	#2295	C₂²	1	1	yes	characteristic
85	C₂×#391	C₂²	1	1	yes	characteristic
86	#2290	—	2	1	no	—
87	C₄²×D₄	C₂²	1	1	yes	characteristic
88	#2099	C₂²	1	1	yes	characteristic
89	#2096	C₂²	1	1	yes	characteristic
90	#2088	C₂²	1	1	yes	characteristic
91	#2086	C₂²	1	1	yes	characteristic
92	#2084	C₂²	1	1	yes	characteristic
93	#2077	C₂²	1	1	yes	characteristic
94	#2077	C₂²	1	1	yes	characteristic
95	#2077	C₂²	1	1	yes	characteristic
96	#2077	C₂²	1	1	yes	characteristic
97	#2072	C₂²	1	1	yes	characteristic
98	#2068	C₂²	1	1	yes	characteristic
99	#2066	C₂²	1	1	yes	characteristic
100	#2066	C₂²	1	1	yes	characteristic
101	#2066	C₂²	1	1	yes	characteristic
102	#2066	C₂²	1	1	yes	characteristic
103	#2066	C₂²	1	1	yes	characteristic
104	#2058	C₂²	1	1	yes	characteristic
105	#2056	C₂²	1	1	yes	characteristic
106	#2056	C₂²	1	1	yes	characteristic
107	#2056	C₂²	1	1	yes	characteristic
108	#2056	C₂²	1	1	yes	characteristic
109	#2043	C₂²	1	1	yes	characteristic
110	#2036	C₂²	1	1	yes	characteristic
111	#2036	C₂²	1	1	yes	characteristic
112	#2035	C₂²	1	1	yes	characteristic
113	#2035	C₂²	1	1	yes	characteristic
114	#2035	C₂²	1	1	yes	characteristic
115	#2035	C₂²	1	1	yes	characteristic
116	#2035	C₂²	1	1	yes	characteristic
117	#2035	C₂²	1	1	yes	characteristic
118	#2035	C₂²	1	1	yes	characteristic
119	#2035	C₂²	1	1	yes	characteristic
120	#2024	C₂²	1	1	yes	characteristic
121	#2024	C₂²	1	1	yes	characteristic
122	#2024	C₂²	1	1	yes	characteristic
123	#2016	C₂²	1	1	yes	characteristic
124	#2016	C₂²	1	1	yes	characteristic
125	#2016	C₂²	1	1	yes	characteristic
126	#2001	C₂²	1	1	yes	characteristic
127	#2001	C₂²	1	1	yes	characteristic
128	#1990	C₂²	1	1	yes	characteristic
129	#1981	C₂²	1	1	yes	characteristic
130	#1971	C₂²	1	1	yes	characteristic
131	#1971	C₂²	1	1	yes	characteristic
132	#1971	C₂²	1	1	yes	characteristic
133	#1971	C₂²	1	1	yes	characteristic
134	#1969	C₂²	1	1	yes	characteristic
135	#1969	C₂²	1	1	yes	characteristic
136	#1956	C₂²	1	1	yes	characteristic
137	#1955	C₂²	1	1	yes	characteristic
138	#1955	C₂²	1	1	yes	characteristic
139	#1948	C₂²	1	1	yes	characteristic
140	#1944	C₂²	1	1	yes	characteristic
141	#1943	C₂²	1	1	yes	characteristic
142	#1935	C₂²	1	1	yes	characteristic
143	#1935	C₂²	1	1	yes	characteristic
144	#1935	C₂²	1	1	yes	characteristic
145	#1935	C₂²	1	1	yes	characteristic
146	#1935	C₂²	1	1	yes	characteristic
147	#1935	C₂²	1	1	yes	characteristic
148	#1933	C₂²	1	1	yes	characteristic
149	#1933	C₂²	1	1	yes	characteristic
150	#1928	C₂²	1	1	yes	characteristic
151	#1928	C₂²	1	1	yes	characteristic
152	#1928	C₂²	1	1	yes	characteristic
153	#1927	C₂²	1	1	yes	characteristic
154	#1924	C₂²	1	1	yes	characteristic
155	#1924	C₂²	1	1	yes	characteristic
156	#1923	C₂²	1	1	yes	characteristic
157	#1923	C₂²	1	1	yes	characteristic
158	#1919	C₂²	1	1	yes	characteristic
159	#1919	C₂²	1	1	yes	characteristic
160	#1919	C₂²	1	1	yes	characteristic
161	#1918	C₂²	1	1	yes	characteristic
162	#1878	C₂²	1	1	yes	characteristic
163	#1878	C₂²	1	1	yes	characteristic
164	#1878	C₂²	1	1	yes	characteristic
165	#1878	C₂²	1	1	yes	characteristic
166	#1878	C₂²	1	1	yes	characteristic
167	#1878	C₂²	1	1	yes	characteristic
168	#1878	C₂²	1	1	yes	characteristic
169	#1878	C₂²	1	1	yes	characteristic
170	#1878	C₂²	1	1	yes	characteristic
171	#1878	C₂²	1	1	yes	characteristic
172	#1872	C₂²	1	1	yes	characteristic
173	#1872	C₂²	1	1	yes	characteristic
174	#1872	C₂²	1	1	yes	characteristic
175	#1872	C₂²	1	1	yes	characteristic
176	#1865	C₂²	1	1	yes	characteristic
177	#1865	C₂²	1	1	yes	characteristic
178	#1865	C₂²	1	1	yes	characteristic
179	#1865	C₂²	1	1	yes	characteristic
180	#1865	C₂²	1	1	yes	characteristic
181	#1865	C₂²	1	1	yes	characteristic
182	#1865	C₂²	1	1	yes	characteristic
183	#1865	C₂²	1	1	yes	characteristic
184	#1865	C₂²	1	1	yes	characteristic
185	#1865	C₂²	1	1	yes	characteristic
186	#1853	C₂²	1	1	yes	characteristic
187	#1852	C₂²	1	1	yes	characteristic
188	#1831	C₂²	1	1	yes	characteristic
189	#1823	C₂²	1	1	yes	characteristic
190	#1817	C₂²	1	1	yes	characteristic
191	#1817	C₂²	1	1	yes	characteristic
192	#1803	C₂²	1	1	yes	characteristic
193	#1787	C₂²	1	1	yes	characteristic
194	#1787	C₂²	1	1	yes	characteristic
195	#1787	C₂²	1	1	yes	characteristic
196	#1771	C₂²	1	1	yes	characteristic
197	#1771	C₂²	1	1	yes	characteristic
198	#1767	C₂²	1	1	yes	characteristic
199	#1763	C₂²	1	1	yes	characteristic
200	#1763	C₂²	1	1	yes	characteristic
201	#1749	C₂²	1	1	yes	characteristic
202	C₄×C₂²⋊C₈	C₂²	1	1	yes	characteristic
203	C₂³×Q₈	C₂³	1	1	yes	characteristic
204	C₂³×Q₈	C₂³	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	#533	—	4	2	no	—
212	#533	—	4	2	no	—
213	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
214	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
215	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
216	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
217	C₂×#125	—	2	1	no	—
218	C₂×C₂²⋊Q₈	—	2	1	no	—
219	C₂×C₂²⋊Q₈	—	2	1	no	—
220	C₂×C₂²⋊Q₈	—	2	1	no	—
221	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
222	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
223	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
224	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
225	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
226	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
227	C₂×C₄×Q₈	—	2	1	no	—
228	C₂×C₄×Q₈	—	2	1	no	—
229	C₂×C₄×Q₈	—	2	1	no	—
230	C₂×C₄×Q₈	—	4	2	no	—
231	C₂×C₄×Q₈	—	4	2	no	—
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×C₄×Q₈	C₂³	1	1	yes	characteristic
236	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
237	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
238	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
239	C₂×C₄×D₄	D₄	1	1	yes	characteristic
240	C₂×C₄×D₄	D₄	1	1	yes	characteristic
241	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
242	C₂×#117	—	2	1	no	—
243	C₂²×C₄⋊C₄	—	2	1	no	—
244	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
245	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
246	C₂²×C₄²	—	2	1	no	—
247	C₂²×C₄²	C₂³	1	1	yes	characteristic
248	C₂²×C₄²	C₂³	1	1	yes	characteristic
249	#498	—	4	2	no	—
250	#487	—	4	2	no	—
251	#483	—	4	2	no	—
252	#462	—	2	4	no	—
253	#451	—	2	4	no	—
254	#451	—	2	4	no	—
255	#451	—	4	2	no	—
256	#451	—	4	2	no	—
257	#451	—	4	2	no	—
258	#441	—	4	2	no	—
259	#441	—	4	2	no	—
260	C₂×#107	C₂³	1	1	yes	characteristic
261	C₂×#107	C₂³	1	1	yes	characteristic
262	C₂×#106	C₂³	1	1	yes	characteristic
263	C₂×#106	C₂³	1	1	yes	characteristic
264	C₂×#106	C₂³	1	1	yes	characteristic
265	C₂×#106	C₂³	1	1	yes	characteristic
266	C₂×#106	C₂³	1	1	yes	characteristic
267	C₂×#106	C₂³	1	1	yes	characteristic
268	C₂×#106	C₂³	1	1	yes	characteristic
269	C₂×#106	C₂³	1	1	yes	characteristic
270	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
271	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
272	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
273	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
274	C₂×#103	C₂³	1	1	yes	characteristic
275	C₂×#103	C₂³	1	1	yes	characteristic
276	C₂×#103	C₂³	1	1	yes	characteristic
277	C₂×#103	C₂³	1	1	yes	characteristic
278	C₂×#103	C₂³	1	1	yes	characteristic
279	C₂×#103	C₂³	1	1	yes	characteristic
280	C₂×#103	C₂³	1	1	yes	characteristic
281	C₂×#103	C₂³	1	1	yes	characteristic
282	C₂×#103	C₂³	1	1	yes	characteristic
283	C₂×#103	C₂³	1	1	yes	characteristic
284	C₂×#103	C₂³	1	1	yes	characteristic
285	C₂×#103	C₂³	1	1	yes	characteristic
286	C₂×#103	C₂³	1	1	yes	characteristic
287	C₂×#103	C₂³	1	1	yes	characteristic
288	C₂×#103	C₂³	1	1	yes	characteristic
289	C₂×#103	C₂³	1	1	yes	characteristic
290	C₂×#103	C₂³	1	1	yes	characteristic
291	C₂×#103	C₂³	1	1	yes	characteristic
292	C₂×#103	C₂³	1	1	yes	characteristic
293	C₂×#103	C₂³	1	1	yes	characteristic
294	C₂×#103	C₂³	1	1	yes	characteristic
295	C₂×#103	C₂³	1	1	yes	characteristic
296	C₂×#103	C₂³	1	1	yes	characteristic
297	C₂×#103	C₂³	1	1	yes	characteristic
298	C₂×#103	C₂³	1	1	yes	characteristic
299	C₂×#103	C₂³	1	1	yes	characteristic
300	C₂×#103	C₂³	1	1	yes	characteristic
301	C₂×#103	C₂³	1	1	yes	characteristic
302	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
303	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
304	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
305	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
306	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
307	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
308	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
309	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
310	C₂×#97	C₂³	1	1	yes	characteristic
311	C₂×#97	C₂³	1	1	yes	characteristic
312	C₂×#97	C₂³	1	1	yes	characteristic
313	C₂×#97	C₂³	1	1	yes	characteristic
314	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
315	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
316	#400	—	2	1	no	—
317	#400	—	2	1	no	—
318	#400	—	2	1	no	—
319	#400	—	2	1	no	—
320	#400	—	2	1	no	—
321	#399	—	2	1	no	—
322	#399	—	2	1	no	—
323	#399	—	2	1	no	—
324	#398	—	2	1	no	—
325	#398	—	2	1	no	—
326	#398	—	2	1	no	—
327	#398	—	2	1	no	—
328	#398	—	2	1	no	—
329	#398	—	2	1	no	—
330	#398	—	2	1	no	—
331	#398	—	2	1	no	—
332	#396	—	2	1	no	—
333	#396	—	2	1	no	—
334	#395	—	2	1	no	—
335	#395	—	2	1	no	—
336	#395	—	2	1	no	—
337	#395	—	2	1	no	—
338	#395	—	2	1	no	—
339	#395	—	2	1	no	—
340	#395	—	2	1	no	—
341	#393	—	2	1	no	—
342	#393	—	2	1	no	—
343	#393	—	2	1	no	—
344	#391	—	2	1	no	—
345	#391	—	2	1	no	—
346	#391	—	2	1	no	—
347	#391	—	2	1	no	—
348	#391	—	2	1	no	—
349	#391	—	2	1	no	—
350	#391	—	2	1	no	—
351	#391	—	2	1	no	—
352	#391	C₂³	1	1	yes	characteristic
353	#391	C₂³	1	1	yes	characteristic
354	#391	C₂³	1	1	yes	characteristic
355	#391	C₂³	1	1	yes	characteristic
356	#391	C₂³	1	1	yes	characteristic
357	#391	C₂³	1	1	yes	characteristic
358	#391	C₂³	1	1	yes	characteristic
359	#391	C₂³	1	1	yes	characteristic
360	#391	C₂³	1	1	yes	characteristic
361	#391	C₂³	1	1	yes	characteristic
362	#391	C₂³	1	1	yes	characteristic
363	#391	C₂³	1	1	yes	characteristic
364	#391	C₂³	1	1	yes	characteristic
365	#391	C₂³	1	1	yes	characteristic
366	#389	—	2	1	no	—
367	#389	—	2	1	no	—
368	#389	—	2	1	no	—
369	#389	—	2	1	no	—
370	#389	C₂³	1	1	yes	characteristic
371	#389	C₂³	1	1	yes	characteristic
372	#389	C₂³	1	1	yes	characteristic
373	#389	C₂³	1	1	yes	characteristic
374	#389	C₂³	1	1	yes	characteristic
375	#389	C₂³	1	1	yes	characteristic
376	#389	C₂³	1	1	yes	characteristic
377	#389	C₂³	1	1	yes	characteristic
378	#389	C₂³	1	1	yes	characteristic
379	#389	C₂³	1	1	yes	characteristic
380	#388	—	2	1	no	—
381	#388	—	2	1	no	—
382	#388	—	2	1	no	—
383	#388	—	2	1	no	—
384	#387	—	2	1	no	—
385	#387	—	2	1	no	—
386	#387	—	2	1	no	—
387	#387	—	2	1	no	—
388	#387	—	2	1	no	—
389	#387	—	2	1	no	—
390	#387	—	2	1	no	—
391	#387	—	2	1	no	—
392	#387	—	2	1	no	—
393	#387	—	2	1	no	—
394	#387	—	2	1	no	—
395	#387	—	2	1	no	—
396	#387	—	2	1	no	—
397	#387	—	2	1	no	—
398	#387	—	2	1	no	—
399	#387	—	2	1	no	—
400	#387	—	2	1	no	—
401	#387	—	2	1	no	—
402	#387	—	2	1	no	—
403	#387	—	2	1	no	—
404	#387	—	2	1	no	—
405	#387	—	2	1	no	—
406	#386	—	2	1	no	—
407	#386	—	2	1	no	—
408	#386	—	2	1	no	—
409	#386	—	2	1	no	—
410	#385	—	2	1	no	—
411	#385	—	2	1	no	—
412	#385	—	2	1	no	—
413	#385	—	2	1	no	—
414	#385	—	2	1	no	—
415	#385	—	2	1	no	—
416	#385	—	2	1	no	—
417	#385	—	2	1	no	—
418	#385	—	2	1	no	—
419	#385	—	2	1	no	—
420	#384	C₂³	1	1	yes	characteristic
421	#384	C₂³	1	1	yes	characteristic
422	#383	—	2	1	no	—
423	#381	—	2	1	no	—
424	#380	—	2	1	no	—
425	#380	—	2	1	no	—
426	#380	—	2	1	no	—
427	#380	—	2	1	no	—
428	#380	C₂³	1	1	yes	characteristic
429	#380	C₂³	1	1	yes	characteristic
430	#380	C₂³	1	1	yes	characteristic
431	#380	C₂³	1	1	yes	characteristic
432	#380	C₂³	1	1	yes	characteristic
433	#380	C₂³	1	1	yes	characteristic
434	C₄×C₄⋊C₄	—	2	1	no	—
435	C₄×C₄⋊C₄	—	2	1	no	—
436	C₄×C₄⋊C₄	—	2	1	no	—
437	C₄×C₄⋊C₄	—	2	1	no	—
438	C₄×C₄⋊C₄	—	2	1	no	—
439	C₄×C₄⋊C₄	—	2	1	no	—
440	C₄×C₄⋊C₄	—	2	1	no	—
441	C₄×C₄⋊C₄	D₄	1	1	yes	characteristic
442	C₄×C₄⋊C₄	D₄	1	1	yes	characteristic
443	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
444	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
445	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
446	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
447	C₄×C₂²⋊C₄	—	2	1	no	—
448	C₄×C₂²⋊C₄	—	2	1	no	—
449	C₄×C₂²⋊C₄	—	2	1	no	—
450	C₄×C₂²⋊C₄	—	2	1	no	—
451	C₄×C₂²⋊C₄	—	2	1	no	—
452	C₄×C₂²⋊C₄	D₄	1	1	yes	characteristic
453	C₄×C₂²⋊C₄	D₄	1	1	yes	characteristic
454	C₄×C₂²⋊C₄	D₄	1	1	yes	characteristic
455	C₄×C₂²⋊C₄	D₄	1	1	yes	characteristic
456	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
457	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
458	#376	—	2	1	no	—
459	#376	—	2	1	no	—
460	C₂×#95	—	2	1	no	—
461	C₂×#95	—	2	1	no	—
462	C₄³	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	#340	C₂³	1	1	yes	characteristic
476	#340	C₂³	1	1	yes	characteristic
477	#340	C₂³	1	1	yes	characteristic
478	#340	C₂³	1	1	yes	characteristic
479	#340	C₂³	1	1	yes	characteristic
480	#340	C₂³	1	1	yes	characteristic
481	#340	C₂³	1	1	yes	characteristic
482	#340	C₂³	1	1	yes	characteristic
483	#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	#336	C₂³	1	1	yes	characteristic
491	#336	C₂³	1	1	yes	characteristic
492	#336	C₂³	1	1	yes	characteristic
493	C₂²×Q₈	—	2	1	no	—
494	C₂²×Q₈	—	2	1	no	—
495	C₂²×Q₈	—	2	1	no	—
496	C₂²×Q₈	—	2	1	no	—
497	C₂²×Q₈	—	2	2	no	—
498	C₂²×Q₈	—	2	2	no	—
499	C₂²×Q₈	—	2	2	no	—
500	C₂²×Q₈	—	4	1	no	—
501	C₂²×Q₈	—	4	1	no	—
502	C₂²×Q₈	—	4	1	no	—
503	C₂²×Q₈	—	4	1	no	—
504	C₂²×Q₈	—	4	1	no	—
505	C₂²×Q₈	—	4	1	no	—
506	C₂²×Q₈	—	4	1	no	—
507	C₂²×Q₈	—	4	1	no	—
508	C₂²×Q₈	—	4	1	no	—
509	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
510	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
511	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
512	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
513	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
514	C₂²×D₄	C₂×D₄	1	1	yes	characteristic
515	C₂³×C₄	—	2	1	no	—
516	C₂³×C₄	—	2	1	no	—
517	C₂³×C₄	—	2	1	no	—
518	C₂³×C₄	—	2	1	no	—
519	C₂³×C₄	C₂×D₄	1	1	yes	characteristic
520	C₂³×C₄	C₂×D₄	1	1	yes	characteristic
521	C₂³×C₄	C₂×D₄	1	1	yes	characteristic
522	C₂³×C₄	C₂×D₄	1	1	yes	characteristic
523	C₂³×C₄	C₂⁴	1	1	yes	characteristic
524	C₂³×C₄	C₂⁴	1	1	yes	characteristic
525	C₂×Q₁₆	—	2	2	no	—
526	C₂×Q₁₆	—	2	2	no	—
527	C₂×Q₁₆	—	2	2	no	—
528	C₂×Q₁₆	—	2	2	no	—
529	C₂×Q₁₆	—	2	2	no	—
530	C₂×Q₁₆	—	4	1	no	—
531	C₂×Q₁₆	—	4	1	no	—
532	C₂×Q₁₆	—	4	1	no	—
533	C₂×Q₁₆	—	4	1	no	—
534	C₂×Q₁₆	—	4	1	no	—
535	C₂×Q₁₆	—	4	1	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	#41	1	4	yes	—
543	C₂²×C₈	C₂⁴	1	1	yes	characteristic
544	C₂²×C₈	C₂⁴	1	1	yes	characteristic
545	C₂²×C₈	C₂⁴	1	1	yes	characteristic
546	C₂²×C₈	C₂⁴	1	1	yes	characteristic
547	C₂²×C₈	C₂⁴	1	1	yes	characteristic
548	C₂²×C₈	C₂⁴	1	1	yes	characteristic
549	C₂²×C₈	C₂⁴	1	1	yes	characteristic
550	C₂²×C₈	C₂⁴	1	1	yes	characteristic
551	C₄⋊Q₈	—	2	2	no	—
552	C₄⋊Q₈	—	2	2	no	—
553	C₄⋊Q₈	—	2	2	no	—
554	C₄⋊Q₈	—	4	1	no	—
555	C₄⋊Q₈	—	4	1	no	—
556	C₄⋊Q₈	—	4	1	no	—
557	C₄⋊Q₈	—	4	1	no	—
558	C₄⋊Q₈	—	4	1	no	—
559	#125	—	4	4	no	—
560	C₂²⋊Q₈	—	2	2	no	—
561	C₂²⋊Q₈	—	2	2	no	—
562	C₂²⋊Q₈	—	2	2	no	—
563	C₂²⋊Q₈	—	2	2	no	—
564	C₂²⋊Q₈	—	4	1	no	—
565	C₂²⋊Q₈	—	4	1	no	—
566	C₂²⋊Q₈	—	4	1	no	—
567	C₂²⋊Q₈	—	4	1	no	—
568	C₂²⋊Q₈	—	4	1	no	—
569	C₂²⋊Q₈	—	4	1	no	—
570	C₂²⋊Q₈	—	4	4	no	—
571	C₂²⋊Q₈	—	4	4	no	—
572	C₂²⋊Q₈	—	4	4	no	—
573	C₂²⋊Q₈	—	4	1	no	—
574	C₂²⋊Q₈	—	4	1	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	1	no	—
587	C₄×Q₈	—	4	4	no	—
588	C₄×Q₈	—	4	4	no	—
589	C₄×Q₈	—	4	1	no	—
590	C₄×Q₈	—	4	1	no	—
591	C₄×Q₈	—	4	4	no	—
592	C₄×D₄	—	2	4	no	—
593	C₄×D₄	—	2	4	no	—
594	C₄×D₄	—	4	1	no	—
595	C₄×D₄	—	4	1	no	—
596	#117	—	4	4	no	—
597	C₂×C₄⋊C₄	—	2	1	no	—
598	C₂×C₄⋊C₄	—	2	2	no	—
599	C₂×C₄⋊C₄	—	2	1	no	—
600	C₂×C₄⋊C₄	—	2	1	no	—
601	C₂×C₄⋊C₄	—	2	1	no	—
602	C₂×C₄⋊C₄	—	2	1	no	—
603	C₂×C₄⋊C₄	—	2	1	no	—
604	C₂×C₄⋊C₄	—	2	1	no	—
605	C₂×C₄⋊C₄	—	2	1	no	—
606	C₂×C₄⋊C₄	—	2	1	no	—
607	C₂×C₄⋊C₄	—	2	1	no	—
608	C₂×C₄⋊C₄	—	2	1	no	—
609	C₂×C₄⋊C₄	—	2	1	no	—
610	C₂×C₄⋊C₄	—	2	1	no	—
611	C₂×C₄⋊C₄	—	2	1	no	—
612	C₂×C₄⋊C₄	—	2	1	no	—
613	C₂×C₄⋊C₄	—	2	1	no	—
614	C₂×C₄⋊C₄	—	2	1	no	—
615	C₂×C₄⋊C₄	—	2	1	no	—
616	C₂×C₄⋊C₄	—	2	1	no	—
617	C₂×C₄⋊C₄	—	2	1	no	—
618	C₂×C₄⋊C₄	—	2	1	no	—
619	C₂×C₄⋊C₄	—	2	1	no	—
620	C₂×C₄⋊C₄	—	2	1	no	—
621	C₂×C₄⋊C₄	—	2	1	no	—
622	C₂×C₄⋊C₄	—	2	1	no	—
623	C₂×C₄⋊C₄	—	2	1	no	—
624	C₂×C₄⋊C₄	—	2	1	no	—
625	C₂×C₄⋊C₄	—	2	1	no	—
626	C₂×C₄⋊C₄	—	2	1	no	—
627	C₂×C₄⋊C₄	—	2	1	no	—
628	C₂×C₄⋊C₄	—	2	1	no	—
629	C₂×C₄⋊C₄	—	2	1	no	—
630	C₂×C₄⋊C₄	—	2	1	no	—
631	C₂×C₄⋊C₄	—	2	1	no	—
632	C₂×C₄⋊C₄	—	2	1	no	—
633	C₂×C₄⋊C₄	—	4	1	no	—
634	C₂×C₄⋊C₄	—	4	1	no	—
635	C₂×C₄⋊C₄	—	4	1	no	—
636	C₂×C₄⋊C₄	—	4	4	no	—
637	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
638	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
639	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
640	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
641	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
642	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
643	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
644	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
645	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
646	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
647	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
648	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
649	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
650	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
651	C₂×C₂²⋊C₄	—	2	1	no	—
652	C₂×C₂²⋊C₄	—	2	1	no	—
653	C₂×C₂²⋊C₄	—	2	1	no	—
654	C₂×C₂²⋊C₄	—	2	1	no	—
655	C₂×C₂²⋊C₄	—	2	1	no	—
656	C₂×C₂²⋊C₄	—	2	1	no	—
657	C₂×C₂²⋊C₄	—	2	1	no	—
658	C₂×C₂²⋊C₄	—	2	1	no	—
659	C₂×C₂²⋊C₄	—	2	1	no	—
660	C₂×C₂²⋊C₄	—	2	1	no	—
661	C₂×C₂²⋊C₄	—	2	1	no	—
662	C₂×C₂²⋊C₄	—	2	1	no	—
663	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
664	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
665	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
666	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
667	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
668	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
669	C₂×C₄²	—	2	1	no	—
670	C₂×C₄²	—	2	1	no	—
671	C₂×C₄²	—	2	1	no	—
672	C₂×C₄²	—	2	1	no	—
673	C₂×C₄²	—	2	1	no	—
674	C₂×C₄²	—	2	1	no	—
675	C₂×C₄²	—	2	1	no	—
676	C₂×C₄²	—	2	1	no	—
677	C₂×C₄²	—	2	1	no	—
678	C₂×C₄²	—	2	1	no	—
679	C₂×C₄²	—	4	1	no	—
680	C₂×C₄²	—	4	1	no	—
681	C₂×C₄²	—	4	1	no	—
682	C₂×C₄²	—	4	1	no	—
683	C₂×C₄²	—	4	4	no	—
684	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
685	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
686	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
687	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
688	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
689	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
690	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
691	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
692	C₂×C₄²	C₂⁴	1	1	yes	characteristic
693	C₂×C₄²	C₂⁴	1	1	yes	characteristic
694	C₂×C₄²	C₂⁴	1	1	yes	characteristic
695	C₂×C₄²	C₂⁴	1	1	yes	characteristic
696	C₂×C₄²	C₂⁴	1	1	yes	characteristic
697	#107	—	4	1	no	—
698	#107	—	4	1	no	—
699	#106	—	2	2	no	—
700	#106	—	2	2	no	—
701	#106	—	4	1	no	—
702	#106	—	4	1	no	—
703	#106	—	4	1	no	—
704	#106	—	4	1	no	—
705	#106	—	4	1	no	—
706	#106	—	4	1	no	—
707	C₄⋊C₈	—	2	2	no	—
708	C₄⋊C₈	—	4	1	no	—
709	C₄⋊C₈	—	4	1	no	—
710	C₄⋊C₈	—	4	1	no	—
711	#103	—	2	2	no	—
712	#103	—	2	2	no	—
713	#103	—	2	2	no	—
714	#103	—	2	2	no	—
715	#103	—	2	2	no	—
716	#103	—	2	2	no	—
717	#103	—	2	2	no	—
718	#103	—	2	2	no	—
719	#103	—	2	2	no	—
720	#103	—	2	2	no	—
721	#103	—	4	1	no	—
722	#103	—	4	1	no	—
723	#103	—	4	1	no	—
724	#103	—	4	1	no	—
725	#103	—	4	1	no	—
726	#103	—	4	1	no	—
727	#103	—	4	1	no	—
728	#103	—	4	1	no	—
729	#103	—	4	1	no	—
730	#103	—	4	1	no	—
731	#103	—	4	1	no	—
732	#103	—	4	1	no	—
733	#103	—	4	1	no	—
734	#103	—	4	1	no	—
735	#103	—	4	1	no	—
736	#103	—	4	1	no	—
737	#103	—	4	1	no	—
738	#103	—	4	1	no	—
739	C₂²⋊C₈	—	2	2	no	—
740	C₂²⋊C₈	—	2	2	no	—
741	C₂²⋊C₈	—	4	1	no	—
742	C₂²⋊C₈	—	4	1	no	—
743	C₂²⋊C₈	—	4	1	no	—
744	C₂²⋊C₈	—	4	1	no	—
745	C₂²⋊C₈	—	4	1	no	—
746	C₂²⋊C₈	—	4	1	no	—
747	#97	—	4	1	no	—
748	#97	—	4	1	no	—
749	#97	—	4	1	no	—
750	#97	—	4	1	no	—
751	C₄×C₈	—	4	1	no	—
752	C₄×C₈	—	4	1	no	—
753	#95	—	2	1	no	—
754	#95	—	2	1	no	—
755	#95	—	2	1	no	—
756	#95	—	2	1	no	—
757	#95	—	2	1	no	—
758	#95	—	2	1	no	—
759	#95	—	2	1	no	—
760	#95	—	2	1	no	—
761	#95	—	2	1	no	—
762	#95	—	2	1	no	—
763	#95	—	2	1	no	—
764	#95	—	2	1	no	—
765	#95	—	2	1	no	—
766	#95	—	2	1	no	—
767	#95	—	2	1	no	—
768	#95	—	2	1	no	—
769	#95	—	2	1	no	—
770	#95	—	2	1	no	—
771	#95	—	2	1	no	—
772	#95	—	2	1	no	—
773	#95	—	2	1	no	—
774	#95	—	2	1	no	—
775	#95	—	2	1	no	—
776	#95	—	2	1	no	—
777	#95	—	2	1	no	—
778	#95	—	2	1	no	—
779	#95	—	2	1	no	—
780	#95	—	2	1	no	—
781	#95	—	2	1	no	—
782	#95	—	2	1	no	—
783	#95	—	2	1	no	—
784	#95	—	2	1	no	—
785	#95	—	2	1	no	—
786	#95	—	2	1	no	—
787	#95	—	2	1	no	—
788	#95	—	2	1	no	—
789	#95	—	2	1	no	—
790	#95	—	2	1	no	—
791	#95	—	2	1	no	—
792	#95	—	2	1	no	—
793	#95	—	2	1	no	—
794	#95	—	2	1	no	—
795	#95	—	2	1	no	—
796	#95	—	2	1	no	—
797	#95	—	2	1	no	—
798	#95	—	2	1	no	—
799	#95	—	2	1	no	—
800	#95	C₂×D₄	1	1	yes	characteristic
801	#95	C₂×D₄	1	1	yes	characteristic
802	#95	C₂×D₄	1	1	yes	characteristic
803	#95	C₂×D₄	1	1	yes	characteristic
804	#95	C₂×D₄	1	1	yes	characteristic
805	#95	C₂×D₄	1	1	yes	characteristic
806	C₂⁴	C₂²×D₄	1	1	yes	characteristic
807	C₂⁴	C₂²×D₄	1	1	yes	characteristic
808	C₂×Q₈	—	2	1	no	—
809	C₂×Q₈	—	2	1	no	—
810	C₂×Q₈	—	2	1	no	—
811	C₂×Q₈	—	2	1	no	—
812	C₂×Q₈	—	2	1	no	—
813	C₂×Q₈	—	2	1	no	—
814	C₂×Q₈	—	2	1	no	—
815	C₂×Q₈	—	2	1	no	—
816	C₂×Q₈	—	2	1	no	—
817	C₂×Q₈	—	2	1	no	—
818	C₂×Q₈	—	2	1	no	—
819	C₂×Q₈	—	2	1	no	—
820	C₂×Q₈	—	2	1	no	—
821	C₂×Q₈	—	2	1	no	—
822	C₂×Q₈	—	2	1	no	—
823	C₂×Q₈	—	2	1	no	—
824	C₂×Q₈	—	2	1	no	—
825	C₂×Q₈	—	2	1	no	—
826	C₂×Q₈	—	2	1	no	—
827	C₂×Q₈	—	2	1	no	—
828	C₂×Q₈	—	2	1	no	—
829	C₂×Q₈	—	2	1	no	—
830	C₂×Q₈	—	2	1	no	—
831	C₂×Q₈	—	2	1	no	—
832	C₂×Q₈	—	2	1	no	—
833	C₂×Q₈	—	2	1	no	—
834	C₂×Q₈	—	2	1	no	—
835	C₂×Q₈	—	4	2	no	—
836	C₂×Q₈	—	4	2	no	—
837	C₂×Q₈	—	4	2	no	—
838	C₂×Q₈	—	4	2	no	—
839	C₂×Q₈	—	4	2	no	—
840	C₂×Q₈	—	4	2	no	—
841	C₂×Q₈	—	4	4	no	—
842	C₂×Q₈	—	4	4	no	—
843	C₂×Q₈	—	4	4	no	—
844	C₂×Q₈	—	4	4	no	—
845	C₂×Q₈	—	4	2	no	—
846	C₂×Q₈	—	4	2	no	—
847	C₂×Q₈	—	8	1	no	—
848	C₂×Q₈	—	8	1	no	—
849	C₂×Q₈	—	8	1	no	—
850	C₂×Q₈	—	8	1	no	—
851	C₂×Q₈	—	8	2	no	—
852	C₂×Q₈	—	8	2	no	—
853	C₂×Q₈	—	8	2	no	—
854	C₂×Q₈	—	8	2	no	—
855	C₂×Q₈	C₂×#41	1	2	yes	—
856	C₂×Q₈	C₂×#41	1	2	yes	—
857	C₂×Q₈	H(5,𝔽₂)	1	2	yes	—
858	C₂×D₄	—	2	2	no	—
859	C₂×D₄	—	2	2	no	—
860	C₂×D₄	—	4	1	no	—
861	C₂²×C₄	—	2	1	no	—
862	C₂²×C₄	—	2	1	no	—
863	C₂²×C₄	—	2	1	no	—
864	C₂²×C₄	—	2	1	no	—
865	C₂²×C₄	—	2	2	no	—
866	C₂²×C₄	—	2	2	no	—
867	C₂²×C₄	—	2	1	no	—
868	C₂²×C₄	—	2	1	no	—
869	C₂²×C₄	—	2	1	no	—
870	C₂²×C₄	—	2	1	no	—
871	C₂²×C₄	—	2	1	no	—
872	C₂²×C₄	—	2	1	no	—
873	C₂²×C₄	—	2	1	no	—
874	C₂²×C₄	—	2	1	no	—
875	C₂²×C₄	—	2	1	no	—
876	C₂²×C₄	—	2	1	no	—
877	C₂²×C₄	—	2	1	no	—
878	C₂²×C₄	—	2	1	no	—
879	C₂²×C₄	—	2	2	no	—
880	C₂²×C₄	—	2	1	no	—
881	C₂²×C₄	—	2	1	no	—
882	C₂²×C₄	—	2	1	no	—
883	C₂²×C₄	—	2	1	no	—
884	C₂²×C₄	—	2	1	no	—
885	C₂²×C₄	—	2	1	no	—
886	C₂²×C₄	—	2	1	no	—
887	C₂²×C₄	—	2	1	no	—
888	C₂²×C₄	—	2	1	no	—
889	C₂²×C₄	—	2	1	no	—
890	C₂²×C₄	—	2	1	no	—
891	C₂²×C₄	—	2	1	no	—
892	C₂²×C₄	—	4	1	no	—
893	C₂²×C₄	—	4	1	no	—
894	C₂²×C₄	—	4	1	no	—
895	C₂²×C₄	—	4	1	no	—
896	C₂²×C₄	—	4	1	no	—
897	C₂²×C₄	—	4	1	no	—
898	C₂²×C₄	—	4	1	no	—
899	C₂²×C₄	—	4	1	no	—
900	C₂²×C₄	—	4	2	no	—
901	C₂²×C₄	—	4	2	no	—
902	C₂²×C₄	—	4	2	no	—
903	C₂²×C₄	—	4	2	no	—
904	C₂²×C₄	—	4	2	no	—
905	C₂²×C₄	—	4	2	no	—
906	C₂²×C₄	—	4	2	no	—
907	C₂²×C₄	—	4	2	no	—
908	C₂²×C₄	—	8	1	no	—
909	C₂²×C₄	—	8	1	no	—
910	C₂²×C₄	—	8	1	no	—
911	C₂²×C₄	—	8	1	no	—
912	C₂²×C₄	#137	1	4	yes	—
913	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
914	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
915	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
916	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
917	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
918	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
919	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
920	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
921	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
922	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
923	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
924	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
925	C₂²×C₄	C₂⁵	1	1	yes	characteristic
926	Q₁₆	—	4	4	no	—
927	Q₁₆	—	4	4	no	—
928	Q₁₆	—	8	2	no	—
929	Q₁₆	—	8	2	no	—
930	Q₁₆	—	8	2	no	—
931	Q₁₆	—	8	2	no	—
932	C₂×C₈	—	2	1	no	—
933	C₂×C₈	—	2	1	no	—
934	C₂×C₈	—	2	1	no	—
935	C₂×C₈	—	2	1	no	—
936	C₂×C₈	—	2	1	no	—
937	C₂×C₈	—	2	1	no	—
938	C₂×C₈	—	2	1	no	—
939	C₂×C₈	—	2	1	no	—
940	C₂×C₈	—	2	1	no	—
941	C₂×C₈	—	2	1	no	—
942	C₂×C₈	—	2	1	no	—
943	C₂×C₈	—	2	1	no	—
944	C₂×C₈	—	2	1	no	—
945	C₂×C₈	—	2	1	no	—
946	C₂×C₈	—	2	1	no	—
947	C₂×C₈	—	2	1	no	—
948	C₂×C₈	—	2	1	no	—
949	C₂×C₈	—	2	1	no	—
950	C₂×C₈	—	2	1	no	—
951	C₂×C₈	—	2	1	no	—
952	C₂×C₈	—	2	1	no	—
953	C₂×C₈	—	2	1	no	—
954	C₂×C₈	—	2	1	no	—
955	C₂×C₈	C₂×#41	1	2	yes	—
956	C₄⋊C₄	—	2	4	no	—
957	C₄⋊C₄	—	2	2	no	—
958	C₄⋊C₄	—	2	2	no	—
959	C₄⋊C₄	—	2	1	no	—
960	C₄⋊C₄	—	2	1	no	—
961	C₄⋊C₄	—	2	1	no	—
962	C₄⋊C₄	—	2	1	no	—
963	C₄⋊C₄	—	2	1	no	—
964	C₄⋊C₄	—	2	1	no	—
965	C₄⋊C₄	—	2	1	no	—
966	C₄⋊C₄	—	2	1	no	—
967	C₄⋊C₄	—	2	1	no	—
968	C₄⋊C₄	—	2	1	no	—
969	C₄⋊C₄	—	2	1	no	—
970	C₄⋊C₄	—	2	1	no	—
971	C₄⋊C₄	—	2	1	no	—
972	C₄⋊C₄	—	2	1	no	—
973	C₄⋊C₄	—	2	1	no	—
974	C₄⋊C₄	—	2	1	no	—
975	C₄⋊C₄	—	2	1	no	—
976	C₄⋊C₄	—	2	1	no	—
977	C₄⋊C₄	—	2	1	no	—
978	C₄⋊C₄	—	2	1	no	—
979	C₄⋊C₄	—	2	1	no	—
980	C₄⋊C₄	—	4	1	no	—
981	C₄⋊C₄	—	4	2	no	—
982	C₄⋊C₄	—	4	2	no	—
983	C₄⋊C₄	—	4	2	no	—
984	C₄⋊C₄	—	4	2	no	—
985	C₄⋊C₄	—	4	2	no	—
986	C₄⋊C₄	—	4	2	no	—
987	C₄⋊C₄	—	4	2	no	—
988	C₄⋊C₄	—	4	2	no	—
989	C₄⋊C₄	—	4	2	no	—
990	C₄⋊C₄	—	4	2	no	—
991	C₄⋊C₄	—	4	2	no	—
992	C₄⋊C₄	—	4	2	no	—
993	C₄⋊C₄	—	4	2	no	—
994	C₄⋊C₄	—	4	2	no	—
995	C₄⋊C₄	—	4	2	no	—
996	C₄⋊C₄	—	4	2	no	—
997	C₄⋊C₄	—	4	2	no	—
998	C₄⋊C₄	—	4	2	no	—
999	C₄⋊C₄	—	4	2	no	—
1000	C₄⋊C₄	—	4	2	no	—
1001	C₄⋊C₄	—	4	2	no	—
1002	C₄⋊C₄	—	4	2	no	—
1003	C₄⋊C₄	—	4	2	no	—
1004	C₄⋊C₄	—	8	1	no	—
1005	C₄⋊C₄	—	8	1	no	—
1006	C₄⋊C₄	—	8	1	no	—
1007	C₄⋊C₄	—	8	1	no	—
1008	C₄⋊C₄	—	8	1	no	—
1009	C₄⋊C₄	—	8	1	no	—
1010	C₄⋊C₄	—	8	1	no	—
1011	C₄⋊C₄	—	8	1	no	—
1012	C₄⋊C₄	—	8	1	no	—
1013	C₄⋊C₄	—	8	1	no	—
1014	C₄⋊C₄	—	8	1	no	—
1015	C₄⋊C₄	H(5,𝔽₂)	1	2	yes	—
1016	C₂²⋊C₄	—	2	2	no	—
1017	C₂²⋊C₄	—	2	2	no	—
1018	C₂²⋊C₄	—	2	2	no	—
1019	C₂²⋊C₄	—	4	1	no	—
1020	C₂²⋊C₄	—	4	1	no	—
1021	C₂²⋊C₄	—	4	2	no	—
1022	C₂²⋊C₄	—	4	2	no	—
1023	C₂²⋊C₄	—	4	2	no	—
1024	C₂²⋊C₄	—	4	2	no	—
1025	C₂²⋊C₄	—	4	2	no	—
1026	C₂²⋊C₄	—	4	2	no	—
1027	C₂²⋊C₄	—	4	2	no	—
1028	C₂²⋊C₄	—	4	2	no	—
1029	C₂²⋊C₄	—	8	1	no	—
1030	C₂²⋊C₄	—	8	1	no	—
1031	C₂²⋊C₄	—	8	1	no	—
1032	C₂²⋊C₄	—	8	1	no	—
1033	C₂²⋊C₄	#137	1	4	yes	—
1034	C₄²	—	2	4	no	—
1035	C₄²	—	2	2	no	—
1036	C₄²	—	2	2	no	—
1037	C₄²	—	2	1	no	—
1038	C₄²	—	2	1	no	—
1039	C₄²	—	2	1	no	—
1040	C₄²	—	2	1	no	—
1041	C₄²	—	2	1	no	—
1042	C₄²	—	2	1	no	—
1043	C₄²	—	2	1	no	—
1044	C₄²	—	2	1	no	—
1045	C₄²	—	2	1	no	—
1046	C₄²	—	2	1	no	—
1047	C₄²	—	4	1	no	—
1048	C₄²	—	4	1	no	—
1049	C₄²	—	4	1	no	—
1050	C₄²	—	4	1	no	—
1051	C₄²	—	4	1	no	—
1052	C₄²	—	4	1	no	—
1053	C₄²	—	4	2	no	—
1054	C₄²	—	4	2	no	—
1055	C₄²	—	4	2	no	—
1056	C₄²	—	4	2	no	—
1057	C₄²	—	4	2	no	—
1058	C₄²	—	4	2	no	—
1059	C₄²	—	8	1	no	—
1060	C₄²	—	8	1	no	—
1061	C₄²	—	8	1	no	—
1062	C₂³	—	2	1	no	—
1063	C₂³	—	2	1	no	—
1064	C₂³	—	2	1	no	—
1065	C₂³	—	2	1	no	—
1066	C₂³	—	2	1	no	—
1067	C₂³	—	2	1	no	—
1068	C₂³	—	2	1	no	—
1069	C₂³	—	2	1	no	—
1070	C₂³	—	2	1	no	—
1071	C₂³	—	2	1	no	—
1072	C₂³	—	2	1	no	—
1073	C₂³	—	2	1	no	—
1074	C₂³	C₂×#137	1	2	yes	—
1075	C₂³	C₂×#137	1	2	yes	—
1076	C₂³	C₂³×D₄	1	1	yes	characteristic
1077	Q₈	—	2	2	no	—
1078	Q₈	—	2	2	no	—
1079	Q₈	—	2	2	no	—
1080	Q₈	—	2	2	no	—
1081	Q₈	—	2	2	no	—
1082	Q₈	—	2	2	no	—
1083	Q₈	—	4	8	no	—
1084	Q₈	—	4	1	no	—
1085	Q₈	—	4	1	no	—
1086	Q₈	—	4	1	no	—
1087	Q₈	—	4	1	no	—
1088	Q₈	—	4	1	no	—
1089	Q₈	—	4	1	no	—
1090	Q₈	—	4	1	no	—
1091	Q₈	—	4	1	no	—
1092	Q₈	—	4	1	no	—
1093	Q₈	—	4	1	no	—
1094	Q₈	—	4	1	no	—
1095	Q₈	—	4	1	no	—
1096	Q₈	—	4	1	no	—
1097	Q₈	—	4	1	no	—
1098	Q₈	—	8	4	no	—
1099	Q₈	—	8	4	no	—
1100	Q₈	—	16	2	no	—
1101	D₄	—	4	4	no	—
1102	C₂×C₄	—	2	1	no	—
1103	C₂×C₄	—	2	1	no	—
1104	C₂×C₄	—	2	1	no	—
1105	C₂×C₄	—	2	1	no	—
1106	C₂×C₄	—	2	1	no	—
1107	C₂×C₄	—	2	1	no	—
1108	C₂×C₄	—	2	1	no	—
1109	C₂×C₄	—	2	1	no	—
1110	C₂×C₄	—	2	1	no	—
1111	C₂×C₄	—	2	1	no	—
1112	C₂×C₄	—	2	1	no	—
1113	C₂×C₄	—	2	1	no	—
1114	C₂×C₄	—	2	1	no	—
1115	C₂×C₄	—	2	1	no	—
1116	C₂×C₄	—	2	1	no	—
1117	C₂×C₄	—	2	1	no	—
1118	C₂×C₄	—	2	1	no	—
1119	C₂×C₄	—	2	1	no	—
1120	C₂×C₄	—	2	1	no	—
1121	C₂×C₄	—	2	2	no	—
1122	C₂×C₄	—	2	2	no	—
1123	C₂×C₄	—	2	1	no	—
1124	C₂×C₄	—	2	1	no	—
1125	C₂×C₄	—	2	1	no	—
1126	C₂×C₄	—	2	1	no	—
1127	C₂×C₄	—	2	1	no	—
1128	C₂×C₄	—	2	2	no	—
1129	C₂×C₄	—	2	2	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	—	4	4	no	—
1139	C₂×C₄	—	4	4	no	—
1140	C₂×C₄	—	4	8	no	—
1141	C₂×C₄	—	4	1	no	—
1142	C₂×C₄	—	4	1	no	—
1143	C₂×C₄	—	4	1	no	—
1144	C₂×C₄	—	4	1	no	—
1145	C₂×C₄	—	4	1	no	—
1146	C₂×C₄	—	4	1	no	—
1147	C₂×C₄	—	4	1	no	—
1148	C₂×C₄	—	4	1	no	—
1149	C₂×C₄	—	4	1	no	—
1150	C₂×C₄	—	4	1	no	—
1151	C₂×C₄	—	4	1	no	—
1152	C₂×C₄	—	4	1	no	—
1153	C₂×C₄	—	4	1	no	—
1154	C₂×C₄	—	4	1	no	—
1155	C₂×C₄	—	4	1	no	—
1156	C₂×C₄	—	4	1	no	—
1157	C₂×C₄	—	4	1	no	—
1158	C₂×C₄	—	4	1	no	—
1159	C₂×C₄	—	4	1	no	—
1160	C₂×C₄	—	4	1	no	—
1161	C₂×C₄	—	4	1	no	—
1162	C₂×C₄	—	4	1	no	—
1163	C₂×C₄	—	4	1	no	—
1164	C₂×C₄	—	4	1	no	—
1165	C₂×C₄	—	4	1	no	—
1166	C₂×C₄	—	4	1	no	—
1167	C₂×C₄	—	4	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	—	8	2	no	—
1194	C₂×C₄	—	8	2	no	—
1195	C₂×C₄	—	8	4	no	—
1196	C₂×C₄	—	8	4	no	—
1197	C₂×C₄	—	16	2	no	—
1198	C₂×C₄	C₂×#137	1	2	yes	—
1199	C₂×C₄	C₂×#137	1	2	yes	—
1200	C₂×C₄	C₂×#137	1	2	yes	—
1201	C₂×C₄	C₂×#137	1	2	yes	—
1202	C₂×C₄	C₂²×#41	1	1	yes	characteristic
1203	C₂×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1204	C₂×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1205	C₂×C₄	#585	1	1	yes	characteristic
1206	C₂×C₄	#585	1	1	yes	characteristic
1207	C₂×C₄	#585	1	1	yes	characteristic
1208	C₈	—	2	2	no	—
1209	C₈	—	4	1	no	—
1210	C₈	—	4	1	no	—
1211	C₈	—	4	1	no	—
1212	C₈	—	4	1	no	—
1213	C₈	—	4	1	no	—
1214	C₈	—	4	1	no	—
1215	C₈	—	4	1	no	—
1216	C₂²	—	2	2	no	—
1217	C₂²	—	2	2	no	—
1218	C₂²	—	2	2	no	—
1219	C₂²	—	2	2	no	—
1220	C₂²	—	2	2	no	—
1221	C₂²	—	2	2	no	—
1222	C₂²	—	4	1	no	—
1223	C₂²	—	4	1	no	—
1224	C₂²	—	4	1	no	—
1225	C₂²	—	4	1	no	—
1226	C₂²	—	4	1	no	—
1227	C₂²	—	4	1	no	—
1228	C₂²	—	4	1	no	—
1229	C₂²	—	4	1	no	—
1230	C₂²	#3449	1	1	yes	characteristic
1231	C₂²	D₄×#41	1	1	yes	characteristic
1232	C₂²	#3484	1	1	yes	characteristic
1233	C₂²	C₂²×#137	1	1	yes	characteristic
1234	C₂²	C₂²×#137	1	1	yes	characteristic
1235	C₂²	#3584	1	1	yes	characteristic
1236	C₂²	#3586	1	1	yes	characteristic
1237	C₄	—	2	2	no	—
1238	C₄	—	2	2	no	—
1239	C₄	—	2	2	no	—
1240	C₄	—	2	2	no	—
1241	C₄	—	4	1	no	—
1242	C₄	—	4	1	no	—
1243	C₄	—	4	1	no	—
1244	C₄	—	4	1	no	—
1245	C₄	—	4	1	no	—
1246	C₄	—	4	1	no	—
1247	C₄	—	4	2	no	—
1248	C₄	—	4	1	no	—
1249	C₄	—	4	1	no	—
1250	C₄	—	4	2	no	—
1251	C₄	—	4	2	no	—
1252	C₄	—	4	2	no	—
1253	C₄	—	8	1	no	—
1254	C₄	—	8	1	no	—
1255	C₄	—	8	1	no	—
1256	C₄	—	8	1	no	—
1257	C₄	—	8	1	no	—
1258	C₄	—	8	1	no	—
1259	C₄	—	8	1	no	—
1260	C₄	—	8	1	no	—
1261	C₄	—	8	1	no	—
1262	C₄	—	8	1	no	—
1263	C₄	—	8	1	no	—
1264	C₄	—	8	1	no	—
1265	C₄	#3505	1	1	yes	characteristic
1266	C₄	#3513	1	1	yes	characteristic
1267	C₄	#3533	1	1	yes	characteristic
1268	C₄	#3540	1	1	yes	characteristic
1269	C₂	—	4	2	no	—
1270	C₂	—	4	2	no	—
1271	C₂	#39869	1	1	yes	characteristic
1272	C₂	#60971	1	1	yes	characteristic
1273	C₂	#60996	1	1	yes	characteristic
1274	C₂	#61440	1	1	yes	characteristic
1275	C₂	#61457	1	1	yes	characteristic
1276	C₂	#61574	1	1	yes	characteristic
1277	C₂	#61607	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³	C₂³×D₄
commutator, Frattini, cosocle	C₂²×C₄	C₂⁵
prime radical	C₂²×D₄	C₂×D₄
LCS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³ ◁ C₄²×D₄ ◁ G
LECS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁

Complements

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

N	H ≅ G/N	type
3. #33008	C₂	semidirect
6. #31354	C₂	semidirect
9. #30990	C₂	semidirect
10. #30777	C₂	semidirect
11. #30530	C₂	semidirect
12. #30168	C₂	semidirect
13. #30132	C₂	semidirect
14. #29540	C₂	semidirect
15. #29479	C₂	semidirect
16. #29447	C₂	semidirect
17. #29417	C₂	semidirect
18. #29097	C₂	semidirect
19. #28904	C₂	semidirect
20. #27409	C₂	semidirect
21. #27177	C₂	semidirect
22. #26838	C₂	semidirect
23. #26491	C₂	semidirect
24. #25672	C₂	semidirect
25. #25173	C₂	semidirect
26. #24918	C₂	semidirect
27. #23934	C₂	semidirect
29. #22154	C₂	semidirect
30. #22044	C₂	semidirect
31. #21455	C₂	semidirect

Maximal subgroups

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

subgroup	index
#36277	2
#34691	2
#33008	2
#31794	2
#31682	2
#31354	2
#31069	2
#31035	2
#30990	2
#30777	2
#30530	2
#30168	2
#30132	2
#29540	2
#29479	2
#29447	2
#29417	2
#29097	2
#28904	2
#27409	2
#27177	2
#26838	2
#26491	2
#25672	2
#25173	2
#24918	2
#23934	2
#22837	2
#22154	2
#22044	2
#21455	2