Subgroups — #6542789

Order 512.

1742 conjugacy classes of subgroups.

The subgroup lattice has 1327 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#36183	C₂	1	1	yes	maximal, characteristic
2	#34212	C₂	1	1	yes	maximal, characteristic, complemented
3	#30168	C₂	1	1	yes	maximal, characteristic, complemented
4	#30010	C₂	1	1	yes	maximal, characteristic, complemented
5	#29593	C₂	1	1	yes	maximal, characteristic
6	#29466	C₂	1	1	yes	maximal, characteristic, complemented
7	#29410	C₂	1	1	yes	maximal, characteristic, complemented
8	#27628	C₂	1	1	yes	maximal, characteristic, complemented
9	#27601	C₂	1	1	yes	maximal, characteristic, complemented
10	#27098	C₂	1	1	yes	maximal, characteristic, complemented
11	#27098	C₂	1	1	yes	maximal, characteristic, complemented
12	#27034	C₂	1	1	yes	maximal, characteristic, complemented
13	#27034	C₂	1	1	yes	maximal, characteristic, complemented
14	#26788	C₂	1	1	yes	maximal, characteristic, complemented
15	#26724	C₂	1	1	yes	maximal, characteristic, complemented
16	#26660	C₂	1	1	yes	maximal, characteristic, complemented
17	#26551	C₂	1	1	yes	maximal, characteristic, complemented
18	#25992	C₂	1	1	yes	maximal, characteristic, complemented
19	#25955	C₂	1	1	yes	maximal, characteristic, complemented
20	#24703	C₂	1	1	yes	maximal, characteristic, complemented
21	#24578	C₂	1	1	yes	maximal, characteristic, complemented
22	#24553	C₂	1	1	yes	maximal, characteristic
23	#24528	C₂	1	1	yes	maximal, characteristic, complemented
24	#23756	C₂	1	1	yes	maximal, characteristic, complemented
25	#23700	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂×#2035	C₂	1	1	yes	maximal, characteristic, complemented
27	#22918	C₂	1	1	yes	maximal, characteristic, complemented
28	#22875	C₂	1	1	yes	maximal, characteristic, complemented
29	#22609	C₂	1	1	yes	maximal, characteristic, complemented
30	#22571	C₂	1	1	yes	maximal, characteristic, complemented
31	#22552	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#551	—	2	1	no	—
33	C₂²×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
34	C₂×#481	C₂²	1	1	yes	characteristic
35	C₂×#481	C₂²	1	1	yes	characteristic
36	C₂×#475	C₂²	1	1	yes	characteristic, complemented
37	C₂×#448	C₂²	1	1	yes	characteristic
38	C₂×C₄×SD₁₆	C₂²	1	1	yes	characteristic, complemented
39	C₂×#431	C₂²	1	1	yes	characteristic
40	C₂²×#106	C₂²	1	1	yes	characteristic
41	C₂²×#103	C₂²	1	1	yes	characteristic
42	C₂²×#103	C₂²	1	1	yes	characteristic
43	C₂²×C₂²⋊C₈	C₂²	1	1	yes	characteristic
44	#2857	C₂²	1	1	yes	characteristic
45	#2854	C₂²	1	1	yes	characteristic
46	#2847	C₂²	1	1	yes	characteristic
47	#2564	—	2	1	no	—
48	#2553	—	2	1	no	—
49	#2521	—	2	1	no	—
50	#2501	C₂²	1	1	yes	characteristic
51	#2498	—	2	1	no	—
52	#2496	C₂²	1	1	yes	characteristic
53	#2496	C₂²	1	1	yes	characteristic
54	#2491	C₂²	1	1	yes	characteristic
55	#2488	—	2	1	no	—
56	#2440	C₂²	1	1	yes	characteristic
57	#2422	C₂²	1	1	yes	characteristic
58	#2412	—	2	1	no	—
59	#2368	—	2	1	no	—
60	#2368	—	2	1	no	—
61	#2361	C₂²	1	1	yes	characteristic
62	#2360	C₂²	1	1	yes	characteristic
63	#2360	C₂²	1	1	yes	characteristic
64	#2360	C₂²	1	1	yes	characteristic
65	#2360	C₂²	1	1	yes	characteristic
66	#2359	—	2	1	no	—
67	#2345	—	2	1	no	—
68	#2345	—	2	1	no	—
69	#2345	C₂²	1	1	yes	characteristic
70	#2345	C₂²	1	1	yes	characteristic
71	#2344	C₂²	1	1	yes	characteristic
72	Q₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic
73	Q₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic
74	#2329	—	2	1	no	—
75	#2329	—	2	1	no	—
76	#2315	—	2	1	no	—
77	C₄×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
78	C₄×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
79	C₄×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
80	C₄×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
81	C₄×#121	C₂²	1	1	yes	characteristic
82	#2285	C₂²	1	1	yes	characteristic
83	C₂×#380	C₂²	1	1	yes	characteristic
84	C₂×#380	C₂²	1	1	yes	characteristic
85	#2273	—	2	1	no	—
86	C₂×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
87	#2099	C₂²	1	1	yes	characteristic, complemented
88	#2096	C₂²	1	1	yes	characteristic, complemented
89	#2088	C₂²	1	1	yes	characteristic, complemented
90	#2088	C₂²	1	1	yes	characteristic, complemented
91	#2084	C₂²	1	1	yes	characteristic, complemented
92	#2084	C₂²	1	1	yes	characteristic, complemented
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	#2077	C₂²	1	1	yes	characteristic
98	#2077	C₂²	1	1	yes	characteristic
99	#2072	C₂²	1	1	yes	characteristic, complemented
100	#2072	C₂²	1	1	yes	characteristic, complemented
101	#2066	C₂²	1	1	yes	characteristic, complemented
102	#2066	C₂²	1	1	yes	characteristic, complemented
103	#2065	C₂²	1	1	yes	characteristic, complemented
104	#2065	C₂²	1	1	yes	characteristic, complemented
105	#2058	C₂²	1	1	yes	characteristic, complemented
106	#2055	C₂²	1	1	yes	characteristic, complemented
107	#2055	C₂²	1	1	yes	characteristic, complemented
108	#2035	C₂²	1	1	yes	characteristic
109	#2035	C₂²	1	1	yes	characteristic
110	#2035	C₂²	1	1	yes	characteristic
111	#2035	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	#2034	C₂²	1	1	yes	characteristic
121	#2034	C₂²	1	1	yes	characteristic
122	#2024	C₂²	1	1	yes	characteristic, complemented
123	#2000	C₂²	1	1	yes	characteristic
124	#2000	C₂²	1	1	yes	characteristic
125	#2000	C₂²	1	1	yes	characteristic
126	#2000	C₂²	1	1	yes	characteristic
127	#1988	C₂²	1	1	yes	characteristic, complemented
128	#1968	C₂²	1	1	yes	characteristic, complemented
129	#1948	C₂²	1	1	yes	characteristic, complemented
130	#1948	C₂²	1	1	yes	characteristic, complemented
131	#1948	C₂²	1	1	yes	characteristic, complemented
132	#1941	C₂²	1	1	yes	characteristic, complemented
133	#1941	C₂²	1	1	yes	characteristic, complemented
134	#1941	C₂²	1	1	yes	characteristic, complemented
135	#1934	C₂²	1	1	yes	characteristic, complemented
136	#1933	C₂²	1	1	yes	characteristic, complemented
137	#1933	C₂²	1	1	yes	characteristic, complemented
138	#1933	C₂²	1	1	yes	characteristic, complemented
139	#1927	C₂²	1	1	yes	characteristic, complemented
140	#1927	C₂²	1	1	yes	characteristic, complemented
141	#1927	C₂²	1	1	yes	characteristic, complemented
142	#1926	C₂²	1	1	yes	characteristic, complemented
143	#1926	C₂²	1	1	yes	characteristic, complemented
144	#1926	C₂²	1	1	yes	characteristic, complemented
145	#1923	C₂²	1	1	yes	characteristic
146	#1923	C₂²	1	1	yes	characteristic
147	#1923	C₂²	1	1	yes	characteristic
148	#1923	C₂²	1	1	yes	characteristic
149	#1920	C₂²	1	1	yes	characteristic, complemented
150	#1920	C₂²	1	1	yes	characteristic, complemented
151	#1920	C₂²	1	1	yes	characteristic, complemented
152	#1919	C₂²	1	1	yes	characteristic, complemented
153	#1919	C₂²	1	1	yes	characteristic, complemented
154	#1919	C₂²	1	1	yes	characteristic, complemented
155	#1919	C₂²	1	1	yes	characteristic, complemented
156	#1919	C₂²	1	1	yes	characteristic, complemented
157	#1893	C₂²	1	1	yes	characteristic
158	#1893	C₂²	1	1	yes	characteristic
159	#1880	C₂²	1	1	yes	characteristic, complemented
160	#1880	C₂²	1	1	yes	characteristic, complemented
161	#1880	C₂²	1	1	yes	characteristic, complemented
162	#1877	C₂²	1	1	yes	characteristic, complemented
163	#1874	C₂²	1	1	yes	characteristic
164	#1865	C₂²	1	1	yes	characteristic, complemented
165	#1865	C₂²	1	1	yes	characteristic, complemented
166	#1865	C₂²	1	1	yes	characteristic, complemented
167	#1865	C₂²	1	1	yes	characteristic, complemented
168	#1865	C₂²	1	1	yes	characteristic, complemented
169	#1864	C₂²	1	1	yes	characteristic, complemented
170	#1853	C₂²	1	1	yes	characteristic
171	#1853	C₂²	1	1	yes	characteristic
172	#1853	C₂²	1	1	yes	characteristic
173	#1853	C₂²	1	1	yes	characteristic
174	#1853	C₂²	1	1	yes	characteristic
175	#1850	C₂²	1	1	yes	characteristic
176	#1850	C₂²	1	1	yes	characteristic
177	#1824	C₂²	1	1	yes	characteristic
178	#1824	C₂²	1	1	yes	characteristic
179	#1824	C₂²	1	1	yes	characteristic
180	#1824	C₂²	1	1	yes	characteristic
181	#1823	C₂²	1	1	yes	characteristic
182	#1823	C₂²	1	1	yes	characteristic
183	#1817	C₂²	1	1	yes	characteristic
184	#1807	C₂²	1	1	yes	characteristic
185	#1807	C₂²	1	1	yes	characteristic
186	#1803	C₂²	1	1	yes	characteristic, complemented
187	#1803	C₂²	1	1	yes	characteristic, complemented
188	#1803	C₂²	1	1	yes	characteristic, complemented
189	#1797	C₂²	1	1	yes	characteristic
190	#1787	C₂²	1	1	yes	characteristic
191	#1779	C₂²	1	1	yes	characteristic
192	C₄×#106	C₂²	1	1	yes	characteristic, complemented
193	C₄×#106	C₂²	1	1	yes	characteristic, complemented
194	C₄×#106	C₂²	1	1	yes	characteristic, complemented
195	C₄×#103	C₂²	1	1	yes	characteristic, complemented
196	C₄×#103	C₂²	1	1	yes	characteristic, complemented
197	C₄×#103	C₂²	1	1	yes	characteristic, complemented
198	C₄×#102	C₂²	1	1	yes	characteristic, complemented
199	C₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic
200	C₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic
201	C₄×C₂²⋊C₈	C₂²	1	1	yes	characteristic
202	C₂×#340	C₂²	1	1	yes	characteristic
203	C₂³×Q₈	C₂³	1	1	yes	characteristic
204	C₂⁴×C₄	C₂³	1	1	yes	characteristic
205	C₂²×SD₁₆	C₂³	1	1	yes	characteristic
206	C₂²×SD₁₆	C₂³	1	1	yes	characteristic
207	C₂³×C₈	C₂³	1	1	yes	characteristic
208	C₂³×C₈	C₂³	1	1	yes	characteristic
209	#551	—	4	8	no	—
210	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
211	C₂×#126	—	2	1	no	—
212	C₂×#126	—	2	1	no	—
213	C₂×#124	—	2	1	no	—
214	C₂×#123	—	2	1	no	—
215	C₂×#123	—	2	1	no	—
216	C₂×#123	—	2	1	no	—
217	C₂×#123	—	2	1	no	—
218	C₂×C₂²⋊Q₈	—	2	4	no	—
219	C₂×C₂²⋊Q₈	—	2	1	no	—
220	C₂×C₂²⋊Q₈	—	2	1	no	—
221	C₂×C₂²⋊Q₈	—	2	1	no	—
222	C₂×C₂²⋊Q₈	—	2	4	no	—
223	C₂×C₂²⋊Q₈	—	2	1	no	—
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×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
228	C₂×#121	C₂³	1	1	yes	characteristic
229	C₂×#121	C₂³	1	1	yes	characteristic
230	C₂×#121	C₂³	1	1	yes	characteristic
231	C₂×#120	—	2	1	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×D₄	—	2	1	no	—
237	C₂×C₄×D₄	—	2	1	no	—
238	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
239	C₂×#117	—	2	1	no	—
240	C₂×#117	—	2	1	no	—
241	C₂²×C₄⋊C₄	—	2	1	no	—
242	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
243	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
244	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
245	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
246	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
247	C₂²×C₂²⋊C₄	—	2	1	no	—
248	C₂²×C₂²⋊C₄	—	2	1	no	—
249	C₂²×C₂²⋊C₄	—	2	1	no	—
250	C₂²×C₂²⋊C₄	D₄	1	1	yes	characteristic
251	C₂²×C₂²⋊C₄	D₄	1	1	yes	characteristic
252	C₂²×C₄²	C₂³	1	1	yes	characteristic
253	C₂²×C₄²	C₂³	1	1	yes	characteristic
254	#481	—	2	4	no	—
255	#481	—	4	2	no	—
256	#475	—	4	2	no	—
257	#448	—	2	4	no	—
258	C₄×SD₁₆	—	4	2	no	—
259	#431	—	4	2	no	—
260	C₂×#106	—	2	4	no	—
261	C₂×#106	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×#106	C₂³	1	1	yes	characteristic
271	C₂×#106	C₂³	1	1	yes	characteristic
272	C₂×#106	C₂³	1	1	yes	characteristic
273	C₂×#106	C₂³	1	1	yes	characteristic
274	C₂×#106	C₂³	1	1	yes	characteristic
275	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
276	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
277	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
278	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
279	C₂×#103	—	2	4	no	—
280	C₂×#103	—	4	2	no	—
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×#102	C₂³	1	1	yes	characteristic
296	C₂×#102	C₂³	1	1	yes	characteristic
297	C₂×#102	C₂³	1	1	yes	characteristic
298	C₂×#102	C₂³	1	1	yes	characteristic
299	C₂×#102	C₂³	1	1	yes	characteristic
300	C₂×#102	C₂³	1	1	yes	characteristic
301	C₂×C₂²⋊C₈	—	4	2	no	—
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×C₂²⋊C₈	C₂³	1	1	yes	characteristic
311	C₂×C₂²⋊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×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	#399	—	2	1	no	—
319	#399	—	2	1	no	—
320	#398	—	2	1	no	—
321	#397	—	2	1	no	—
322	#397	—	2	1	no	—
323	#397	—	2	1	no	—
324	#395	—	2	1	no	—
325	#394	—	2	1	no	—
326	#394	—	2	1	no	—
327	#393	—	2	1	no	—
328	#391	—	2	1	no	—
329	#391	—	2	1	no	—
330	#391	—	2	1	no	—
331	#391	—	2	1	no	—
332	#391	—	2	1	no	—
333	#391	C₂³	1	1	yes	characteristic
334	#391	C₂³	1	1	yes	characteristic
335	#391	C₂³	1	1	yes	characteristic
336	#391	C₂³	1	1	yes	characteristic
337	#390	C₂³	1	1	yes	characteristic
338	#390	C₂³	1	1	yes	characteristic
339	#390	C₂³	1	1	yes	characteristic
340	#389	—	2	1	no	—
341	#389	—	2	1	no	—
342	#389	—	2	1	no	—
343	#389	—	2	1	no	—
344	#389	—	2	1	no	—
345	#389	C₂³	1	1	yes	characteristic
346	#389	C₂³	1	1	yes	characteristic
347	#389	C₂³	1	1	yes	characteristic
348	#389	C₂³	1	1	yes	characteristic
349	#389	C₂³	1	1	yes	characteristic
350	#389	C₂³	1	1	yes	characteristic
351	#389	C₂³	1	1	yes	characteristic
352	#389	C₂³	1	1	yes	characteristic
353	#389	C₂³	1	1	yes	characteristic
354	#388	—	2	1	no	—
355	#388	—	2	1	no	—
356	#388	—	2	1	no	—
357	#388	—	2	1	no	—
358	#388	—	2	1	no	—
359	#387	—	2	1	no	—
360	#387	—	2	1	no	—
361	#387	—	2	1	no	—
362	#387	—	2	1	no	—
363	#387	—	2	1	no	—
364	#387	—	2	1	no	—
365	#387	—	2	1	no	—
366	#387	—	2	1	no	—
367	#387	—	2	1	no	—
368	#387	—	2	1	no	—
369	#387	—	2	1	no	—
370	#387	—	2	1	no	—
371	#387	—	2	1	no	—
372	#387	—	2	1	no	—
373	#387	—	2	1	no	—
374	#387	—	2	1	no	—
375	#386	—	2	1	no	—
376	#386	—	2	1	no	—
377	#386	—	2	1	no	—
378	#386	—	2	1	no	—
379	#386	—	2	1	no	—
380	#386	—	2	1	no	—
381	#385	—	2	1	no	—
382	#385	—	2	1	no	—
383	#385	—	2	1	no	—
384	#385	—	2	1	no	—
385	#385	—	2	1	no	—
386	#385	—	2	1	no	—
387	#385	—	2	1	no	—
388	#385	—	2	1	no	—
389	#385	—	2	1	no	—
390	#385	—	2	1	no	—
391	#385	—	2	1	no	—
392	#384	C₂³	1	1	yes	characteristic
393	#384	C₂³	1	1	yes	characteristic
394	#384	C₂³	1	1	yes	characteristic
395	#382	—	2	1	no	—
396	#381	—	2	1	no	—
397	#380	—	2	1	no	—
398	#380	—	2	1	no	—
399	#380	—	2	1	no	—
400	#380	—	2	1	no	—
401	#380	—	2	1	no	—
402	#380	—	2	1	no	—
403	#380	—	2	1	no	—
404	#380	—	2	1	no	—
405	#380	—	2	1	no	—
406	#380	—	2	1	no	—
407	#380	C₂³	1	1	yes	characteristic
408	#380	C₂³	1	1	yes	characteristic
409	#380	C₂³	1	1	yes	characteristic
410	#380	C₂³	1	1	yes	characteristic
411	#380	C₂³	1	1	yes	characteristic
412	#380	C₂³	1	1	yes	characteristic
413	#380	C₂³	1	1	yes	characteristic
414	#380	C₂³	1	1	yes	characteristic
415	#380	C₂³	1	1	yes	characteristic
416	#380	C₂³	1	1	yes	characteristic
417	#380	C₂³	1	1	yes	characteristic
418	C₄×C₄⋊C₄	—	2	1	no	—
419	C₄×C₄⋊C₄	—	2	1	no	—
420	C₄×C₄⋊C₄	—	2	1	no	—
421	C₄×C₄⋊C₄	—	2	1	no	—
422	C₄×C₄⋊C₄	—	2	1	no	—
423	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
424	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
425	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
426	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
427	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
428	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
429	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
430	C₄×C₂²⋊C₄	—	2	1	no	—
431	C₄×C₂²⋊C₄	—	2	1	no	—
432	C₄×C₂²⋊C₄	—	2	1	no	—
433	C₄×C₂²⋊C₄	—	2	1	no	—
434	C₄×C₂²⋊C₄	—	2	1	no	—
435	C₄×C₂²⋊C₄	—	2	1	no	—
436	C₄×C₂²⋊C₄	—	2	1	no	—
437	C₄×C₂²⋊C₄	—	2	1	no	—
438	C₄×C₂²⋊C₄	—	2	1	no	—
439	C₄×C₂²⋊C₄	—	2	1	no	—
440	C₄×C₂²⋊C₄	—	2	1	no	—
441	C₄×C₂²⋊C₄	—	2	1	no	—
442	C₄×C₂²⋊C₄	—	2	1	no	—
443	C₄×C₂²⋊C₄	D₄	1	1	yes	characteristic
444	C₄×C₂²⋊C₄	D₄	1	1	yes	characteristic
445	C₄×C₂²⋊C₄	D₄	1	1	yes	characteristic
446	C₄×C₂²⋊C₄	D₄	1	1	yes	characteristic
447	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
448	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
449	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
450	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
451	C₂×#95	—	2	1	no	—
452	C₂×#95	—	2	1	no	—
453	C₂×#95	D₄	1	1	yes	characteristic
454	C₂×#95	D₄	1	1	yes	characteristic
455	#340	C₂³	1	1	yes	characteristic
456	#340	C₂³	1	1	yes	characteristic
457	#340	C₂³	1	1	yes	characteristic
458	#340	C₂³	1	1	yes	characteristic
459	#340	C₂³	1	1	yes	characteristic
460	#340	C₂³	1	1	yes	characteristic
461	#340	C₂³	1	1	yes	characteristic
462	#340	C₂³	1	1	yes	characteristic
463	#340	C₂³	1	1	yes	characteristic
464	#340	C₂³	1	1	yes	characteristic
465	#340	C₂³	1	1	yes	characteristic
466	#340	C₂³	1	1	yes	characteristic
467	#340	C₂³	1	1	yes	characteristic
468	#340	C₂³	1	1	yes	characteristic
469	#340	C₂³	1	1	yes	characteristic
470	#340	C₂³	1	1	yes	characteristic
471	#340	C₂³	1	1	yes	characteristic
472	#340	C₂³	1	1	yes	characteristic
473	#340	C₂³	1	1	yes	characteristic
474	#340	C₂³	1	1	yes	characteristic
475	#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	C₂⁵	C₂×D₄	1	1	yes	characteristic
492	C₂²×Q₈	—	2	1	no	—
493	C₂²×Q₈	—	2	1	no	—
494	C₂²×Q₈	—	2	2	no	—
495	C₂²×Q₈	—	4	1	no	—
496	C₂²×Q₈	—	4	1	no	—
497	C₂²×Q₈	—	4	1	no	—
498	C₂²×Q₈	—	4	1	no	—
499	C₂²×Q₈	#41	1	4	yes	—
500	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
501	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
502	C₂²×D₄	—	2	1	no	—
503	C₂²×D₄	—	2	1	no	—
504	C₂²×D₄	—	2	1	no	—
505	C₂²×D₄	C₂⁴	1	1	yes	characteristic
506	C₂³×C₄	—	2	1	no	—
507	C₂³×C₄	—	2	1	no	—
508	C₂³×C₄	—	2	2	no	—
509	C₂³×C₄	—	2	2	no	—
510	C₂³×C₄	—	2	1	no	—
511	C₂³×C₄	—	2	1	no	—
512	C₂³×C₄	—	2	1	no	—
513	C₂³×C₄	—	2	1	no	—
514	C₂³×C₄	—	2	1	no	—
515	C₂³×C₄	—	4	1	no	—
516	C₂³×C₄	—	4	1	no	—
517	C₂³×C₄	—	4	1	no	—
518	C₂³×C₄	—	4	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	C₂×D₄	1	1	yes	characteristic
524	C₂³×C₄	C₂×D₄	1	1	yes	characteristic
525	C₂³×C₄	C₂×D₄	1	1	yes	characteristic
526	C₂³×C₄	C₂⁴	1	1	yes	characteristic
527	C₂³×C₄	C₂⁴	1	1	yes	characteristic
528	C₂³×C₄	C₂⁴	1	1	yes	characteristic
529	C₂×SD₁₆	—	2	2	no	—
530	C₂×SD₁₆	—	2	2	no	—
531	C₂×SD₁₆	—	4	1	no	—
532	C₂×SD₁₆	—	4	1	no	—
533	C₂×SD₁₆	—	4	1	no	—
534	C₂×SD₁₆	—	4	1	no	—
535	C₂²×C₈	—	2	2	no	—
536	C₂²×C₈	—	2	2	no	—
537	C₂²×C₈	—	2	2	no	—
538	C₂²×C₈	—	4	1	no	—
539	C₂²×C₈	—	4	1	no	—
540	C₂²×C₈	—	4	1	no	—
541	C₂²×C₈	C₂⁴	1	1	yes	characteristic
542	C₂²×C₈	C₂⁴	1	1	yes	characteristic
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	C₄⋊Q₈	—	4	1	no	—
550	C₄⋊Q₈	—	4	1	no	—
551	#126	—	4	4	no	—
552	#126	—	4	4	no	—
553	#124	—	4	4	no	—
554	#123	—	4	4	no	—
555	#123	—	4	4	no	—
556	#123	—	4	4	no	—
557	#123	—	4	4	no	—
558	C₂²⋊Q₈	—	2	8	no	—
559	C₂²⋊Q₈	—	2	8	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	—	2	2	no	—
565	C₂²⋊Q₈	—	2	2	no	—
566	C₂²⋊Q₈	—	2	2	no	—
567	C₂²⋊Q₈	—	2	2	no	—
568	C₂²⋊Q₈	—	4	4	no	—
569	C₂²⋊Q₈	—	4	4	no	—
570	#121	—	2	2	no	—
571	#121	—	2	2	no	—
572	#121	—	4	1	no	—
573	#121	—	4	1	no	—
574	#121	—	4	1	no	—
575	#121	—	4	1	no	—
576	#120	—	4	4	no	—
577	C₄×Q₈	—	4	1	no	—
578	C₄×Q₈	—	4	1	no	—
579	C₄×Q₈	—	4	1	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×D₄	—	4	1	no	—
586	C₄×D₄	—	4	1	no	—
587	C₄×D₄	—	4	4	no	—
588	C₄×D₄	—	4	4	no	—
589	#117	—	4	4	no	—
590	#117	—	4	4	no	—
591	C₂×C₄⋊C₄	—	2	8	no	—
592	C₂×C₄⋊C₄	—	2	1	no	—
593	C₂×C₄⋊C₄	—	2	1	no	—
594	C₂×C₄⋊C₄	—	2	1	no	—
595	C₂×C₄⋊C₄	—	2	1	no	—
596	C₂×C₄⋊C₄	—	2	1	no	—
597	C₂×C₄⋊C₄	—	2	2	no	—
598	C₂×C₄⋊C₄	—	2	2	no	—
599	C₂×C₄⋊C₄	—	2	2	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	—	4	1	no	—
625	C₂×C₄⋊C₄	—	4	1	no	—
626	C₂×C₄⋊C₄	—	4	1	no	—
627	C₂×C₄⋊C₄	—	4	1	no	—
628	C₂×C₄⋊C₄	—	4	1	no	—
629	C₂×C₄⋊C₄	—	4	1	no	—
630	C₂×C₄⋊C₄	#41	1	4	yes	—
631	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
632	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
633	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
634	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
635	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
636	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
637	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
638	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
639	C₂×C₄⋊C₄	C₂⁴	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×C₂²⋊C₄	—	2	8	no	—
645	C₂×C₂²⋊C₄	—	2	1	no	—
646	C₂×C₂²⋊C₄	—	2	1	no	—
647	C₂×C₂²⋊C₄	—	2	1	no	—
648	C₂×C₂²⋊C₄	—	2	1	no	—
649	C₂×C₂²⋊C₄	—	2	1	no	—
650	C₂×C₂²⋊C₄	—	2	1	no	—
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	—	2	1	no	—
664	C₂×C₂²⋊C₄	—	2	1	no	—
665	C₂×C₂²⋊C₄	—	2	1	no	—
666	C₂×C₂²⋊C₄	—	2	1	no	—
667	C₂×C₂²⋊C₄	—	2	1	no	—
668	C₂×C₂²⋊C₄	—	2	1	no	—
669	C₂×C₂²⋊C₄	—	2	1	no	—
670	C₂×C₂²⋊C₄	—	4	2	no	—
671	C₂×C₂²⋊C₄	—	4	4	no	—
672	C₂×C₂²⋊C₄	—	4	4	no	—
673	C₂×C₂²⋊C₄	SD₁₆	1	8	yes	complemented
674	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
675	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
676	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
677	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
678	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
679	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
680	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
681	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
682	C₂×C₄²	—	2	1	no	—
683	C₂×C₄²	—	2	1	no	—
684	C₂×C₄²	—	2	1	no	—
685	C₂×C₄²	—	2	1	no	—
686	C₂×C₄²	—	2	1	no	—
687	C₂×C₄²	—	2	1	no	—
688	C₂×C₄²	—	2	1	no	—
689	C₂×C₄²	—	2	1	no	—
690	C₂×C₄²	—	2	1	no	—
691	C₂×C₄²	—	2	1	no	—
692	C₂×C₄²	—	2	1	no	—
693	C₂×C₄²	—	4	1	no	—
694	C₂×C₄²	—	4	1	no	—
695	C₂×C₄²	—	4	1	no	—
696	C₂×C₄²	—	4	1	no	—
697	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
698	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
699	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
700	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
701	C₂×C₄²	C₂⁴	1	1	yes	characteristic
702	C₂×C₄²	C₂⁴	1	1	yes	characteristic
703	C₂×C₄²	C₂⁴	1	1	yes	characteristic
704	C₂×C₄²	C₂⁴	1	1	yes	characteristic
705	#106	—	2	2	no	—
706	#106	—	2	2	no	—
707	#106	—	2	2	no	—
708	#106	—	2	2	no	—
709	#106	—	2	2	no	—
710	#106	—	2	2	no	—
711	#106	—	2	2	no	—
712	#106	—	4	1	no	—
713	#106	—	4	1	no	—
714	#106	—	4	1	no	—
715	#106	—	4	1	no	—
716	#106	—	4	1	no	—
717	#106	—	4	1	no	—
718	#106	—	4	1	no	—
719	C₄⋊C₈	—	2	2	no	—
720	C₄⋊C₈	—	4	1	no	—
721	C₄⋊C₈	—	4	1	no	—
722	C₄⋊C₈	—	4	1	no	—
723	#103	—	2	2	no	—
724	#103	—	2	2	no	—
725	#103	—	2	2	no	—
726	#103	—	2	2	no	—
727	#103	—	2	2	no	—
728	#103	—	2	2	no	—
729	#103	—	2	2	no	—
730	#103	—	2	2	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	#102	—	2	2	no	—
738	#102	—	2	2	no	—
739	#102	—	2	2	no	—
740	#102	—	4	1	no	—
741	#102	—	4	1	no	—
742	#102	—	4	1	no	—
743	C₂²⋊C₈	—	2	2	no	—
744	C₂²⋊C₈	—	2	2	no	—
745	C₂²⋊C₈	—	2	2	no	—
746	C₂²⋊C₈	—	2	2	no	—
747	C₂²⋊C₈	—	4	1	no	—
748	C₂²⋊C₈	—	4	1	no	—
749	C₂²⋊C₈	—	4	1	no	—
750	C₂²⋊C₈	—	4	1	no	—
751	C₂²⋊C₈	—	4	1	no	—
752	C₂²⋊C₈	—	4	1	no	—
753	C₄×C₈	—	2	2	no	—
754	C₄×C₈	—	4	1	no	—
755	C₄×C₈	—	4	1	no	—
756	C₄×C₈	—	4	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	C₂×D₄	1	1	yes	characteristic
793	#95	C₂×D₄	1	1	yes	characteristic
794	#95	C₂×D₄	1	1	yes	characteristic
795	#95	C₂×D₄	1	1	yes	characteristic
796	#95	C₂×D₄	1	1	yes	characteristic
797	#95	C₂×D₄	1	1	yes	characteristic
798	#95	C₂×D₄	1	1	yes	characteristic
799	#95	C₂×D₄	1	1	yes	characteristic
800	C₂⁴	—	2	2	no	—
801	C₂⁴	—	2	2	no	—
802	C₂⁴	—	2	1	no	—
803	C₂⁴	—	4	1	no	—
804	C₂⁴	—	4	1	no	—
805	C₂⁴	—	4	1	no	—
806	C₂⁴	—	4	1	no	—
807	C₂⁴	C₂×SD₁₆	1	4	yes	—
808	C₂⁴	C₂²×D₄	1	1	yes	characteristic
809	C₂⁴	C₂²×D₄	1	1	yes	characteristic
810	C₂⁴	C₂²×D₄	1	1	yes	characteristic
811	C₂×Q₈	—	2	4	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	—	4	4	no	—
823	C₂×Q₈	—	4	4	no	—
824	C₂×Q₈	—	4	2	no	—
825	C₂×Q₈	—	8	1	no	—
826	C₂×Q₈	—	8	1	no	—
827	C₂×Q₈	—	8	1	no	—
828	C₂×Q₈	—	8	1	no	—
829	C₂×Q₈	—	8	2	no	—
830	C₂×Q₈	—	8	2	no	—
831	C₂×Q₈	C₂×#41	1	2	yes	—
832	C₂×Q₈	C₂×#41	1	2	yes	—
833	C₂×D₄	—	2	1	no	—
834	C₂×D₄	—	2	1	no	—
835	C₂×D₄	—	2	1	no	—
836	C₂×D₄	—	2	1	no	—
837	C₂×D₄	—	2	1	no	—
838	C₂×D₄	—	2	1	no	—
839	C₂×D₄	—	4	2	no	—
840	C₂×D₄	—	4	2	no	—
841	C₂×D₄	—	4	2	no	—
842	C₂×D₄	—	4	2	no	—
843	C₂×D₄	—	4	2	no	—
844	C₂×D₄	—	4	2	no	—
845	C₂×D₄	—	4	2	no	—
846	C₂×D₄	—	8	1	no	—
847	C₂×D₄	—	8	1	no	—
848	C₂²×C₄	—	2	1	no	—
849	C₂²×C₄	—	2	1	no	—
850	C₂²×C₄	—	2	1	no	—
851	C₂²×C₄	—	2	1	no	—
852	C₂²×C₄	—	2	1	no	—
853	C₂²×C₄	—	2	1	no	—
854	C₂²×C₄	—	2	1	no	—
855	C₂²×C₄	—	2	1	no	—
856	C₂²×C₄	—	2	4	no	—
857	C₂²×C₄	—	2	4	no	—
858	C₂²×C₄	—	2	2	no	—
859	C₂²×C₄	—	2	1	no	—
860	C₂²×C₄	—	2	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	1	no	—
866	C₂²×C₄	—	2	1	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	2	no	—
872	C₂²×C₄	—	2	2	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	1	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	—	4	1	no	—
885	C₂²×C₄	—	4	1	no	—
886	C₂²×C₄	—	4	1	no	—
887	C₂²×C₄	—	4	1	no	—
888	C₂²×C₄	—	4	1	no	—
889	C₂²×C₄	—	4	1	no	—
890	C₂²×C₄	—	4	1	no	—
891	C₂²×C₄	—	4	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	—	8	2	no	—
908	C₂²×C₄	—	8	2	no	—
909	C₂²×C₄	—	8	2	no	—
910	C₂²×C₄	—	8	2	no	—
911	C₂²×C₄	—	8	1	no	—
912	C₂²×C₄	—	8	1	no	—
913	C₂²×C₄	—	8	1	no	—
914	C₂²×C₄	—	8	1	no	—
915	C₂²×C₄	—	8	1	no	—
916	C₂²×C₄	—	8	1	no	—
917	C₂²×C₄	—	8	1	no	—
918	C₂²×C₄	—	8	1	no	—
919	C₂²×C₄	—	8	1	no	—
920	C₂²×C₄	—	8	1	no	—
921	C₂²×C₄	—	8	1	no	—
922	C₂²×C₄	—	8	1	no	—
923	C₂²×C₄	C₂×SD₁₆	1	4	yes	—
924	C₂²×C₄	C₂×SD₁₆	1	4	yes	—
925	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
926	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
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	C₂×#41	1	2	yes	—
937	C₂²×C₄	C₂×#41	1	2	yes	—
938	C₂²×C₄	C₂⁵	1	1	yes	characteristic
939	SD₁₆	—	4	4	no	—
940	SD₁₆	—	8	2	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	—	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	—	4	4	no	—
965	C₂×C₈	—	8	2	no	—
966	C₂×C₈	H(5,𝔽₂)	1	2	yes	—
967	C₄⋊C₄	—	2	4	no	—
968	C₄⋊C₄	—	2	4	no	—
969	C₄⋊C₄	—	2	4	no	—
970	C₄⋊C₄	—	2	4	no	—
971	C₄⋊C₄	—	2	4	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	—	2	1	no	—
981	C₄⋊C₄	—	2	1	no	—
982	C₄⋊C₄	—	2	1	no	—
983	C₄⋊C₄	—	2	1	no	—
984	C₄⋊C₄	—	2	1	no	—
985	C₄⋊C₄	—	2	1	no	—
986	C₄⋊C₄	—	2	1	no	—
987	C₄⋊C₄	—	2	1	no	—
988	C₄⋊C₄	—	2	1	no	—
989	C₄⋊C₄	—	2	1	no	—
990	C₄⋊C₄	—	2	1	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	—	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	—	4	2	no	—
1005	C₄⋊C₄	—	4	2	no	—
1006	C₄⋊C₄	—	4	2	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	—	8	1	no	—
1016	C₄⋊C₄	—	8	1	no	—
1017	C₄⋊C₄	—	8	1	no	—
1018	C₄⋊C₄	—	8	1	no	—
1019	C₄⋊C₄	—	8	1	no	—
1020	C₄⋊C₄	C₂×#41	1	2	yes	—
1021	C₄⋊C₄	C₂×#41	1	2	yes	—
1022	C₂²⋊C₄	—	2	4	no	—
1023	C₂²⋊C₄	—	2	4	no	—
1024	C₂²⋊C₄	—	2	4	no	—
1025	C₂²⋊C₄	—	2	4	no	—
1026	C₂²⋊C₄	—	2	2	no	—
1027	C₂²⋊C₄	—	2	2	no	—
1028	C₂²⋊C₄	—	4	1	no	—
1029	C₂²⋊C₄	—	4	1	no	—
1030	C₂²⋊C₄	—	4	2	no	—
1031	C₂²⋊C₄	—	4	2	no	—
1032	C₂²⋊C₄	—	4	2	no	—
1033	C₂²⋊C₄	—	4	2	no	—
1034	C₂²⋊C₄	—	4	2	no	—
1035	C₂²⋊C₄	—	4	2	no	—
1036	C₂²⋊C₄	—	4	2	no	—
1037	C₂²⋊C₄	—	4	2	no	—
1038	C₂²⋊C₄	—	4	2	no	—
1039	C₂²⋊C₄	—	4	2	no	—
1040	C₂²⋊C₄	—	4	2	no	—
1041	C₂²⋊C₄	—	4	2	no	—
1042	C₂²⋊C₄	—	4	2	no	—
1043	C₂²⋊C₄	—	4	2	no	—
1044	C₂²⋊C₄	—	4	2	no	—
1045	C₂²⋊C₄	—	4	2	no	—
1046	C₂²⋊C₄	—	4	2	no	—
1047	C₂²⋊C₄	—	4	2	no	—
1048	C₂²⋊C₄	—	8	1	no	—
1049	C₂²⋊C₄	—	8	1	no	—
1050	C₂²⋊C₄	—	8	1	no	—
1051	C₂²⋊C₄	C₂×SD₁₆	1	4	yes	—
1052	C₂²⋊C₄	C₂×SD₁₆	1	4	yes	—
1053	C₂²⋊C₄	C₂×SD₁₆	1	4	yes	—
1054	C₂²⋊C₄	C₂×SD₁₆	1	4	yes	—
1055	C₄²	—	2	1	no	—
1056	C₄²	—	2	1	no	—
1057	C₄²	—	2	1	no	—
1058	C₄²	—	2	1	no	—
1059	C₄²	—	2	1	no	—
1060	C₄²	—	2	1	no	—
1061	C₄²	—	2	1	no	—
1062	C₄²	—	2	1	no	—
1063	C₄²	—	4	1	no	—
1064	C₄²	—	4	1	no	—
1065	C₄²	—	4	1	no	—
1066	C₄²	—	4	1	no	—
1067	C₄²	—	4	2	no	—
1068	C₄²	—	4	2	no	—
1069	C₄²	—	4	2	no	—
1070	C₄²	—	8	1	no	—
1071	C₄²	—	8	1	no	—
1072	C₄²	—	8	1	no	—
1073	C₄²	—	8	1	no	—
1074	C₄²	—	8	1	no	—
1075	C₄²	—	8	1	no	—
1076	C₄²	—	8	1	no	—
1077	C₄²	—	8	1	no	—
1078	C₂³	—	2	1	no	—
1079	C₂³	—	2	1	no	—
1080	C₂³	—	2	1	no	—
1081	C₂³	—	2	1	no	—
1082	C₂³	—	2	1	no	—
1083	C₂³	—	2	1	no	—
1084	C₂³	—	2	1	no	—
1085	C₂³	—	2	1	no	—
1086	C₂³	—	2	1	no	—
1087	C₂³	—	2	1	no	—
1088	C₂³	—	2	1	no	—
1089	C₂³	—	2	1	no	—
1090	C₂³	—	2	1	no	—
1091	C₂³	—	2	1	no	—
1092	C₂³	—	2	1	no	—
1093	C₂³	—	2	1	no	—
1094	C₂³	—	2	8	no	—
1095	C₂³	—	4	4	no	—
1096	C₂³	—	4	4	no	—
1097	C₂³	—	4	1	no	—
1098	C₂³	—	4	1	no	—
1099	C₂³	—	4	1	no	—
1100	C₂³	—	4	1	no	—
1101	C₂³	—	4	1	no	—
1102	C₂³	—	4	1	no	—
1103	C₂³	—	4	1	no	—
1104	C₂³	—	8	2	no	—
1105	C₂³	—	8	2	no	—
1106	C₂³	—	8	2	no	—
1107	C₂³	—	8	2	no	—
1108	C₂³	#525	1	2	yes	—
1109	C₂³	C₂²×SD₁₆	1	2	yes	—
1110	C₂³	C₂²×SD₁₆	1	2	yes	—
1111	C₂³	C₂²×SD₁₆	1	2	yes	—
1112	C₂³	#575	1	2	yes	—
1113	C₂³	C₂³×D₄	1	1	yes	characteristic
1114	Q₈	—	2	2	no	—
1115	Q₈	—	2	2	no	—
1116	Q₈	—	2	2	no	—
1117	Q₈	—	2	2	no	—
1118	Q₈	—	4	1	no	—
1119	Q₈	—	4	1	no	—
1120	Q₈	—	4	1	no	—
1121	Q₈	—	4	1	no	—
1122	Q₈	—	8	4	no	—
1123	Q₈	—	16	2	no	—
1124	D₄	—	4	1	no	—
1125	D₄	—	4	1	no	—
1126	D₄	—	4	1	no	—
1127	D₄	—	4	1	no	—
1128	D₄	—	8	4	no	—
1129	D₄	—	8	4	no	—
1130	D₄	—	16	2	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	2	no	—
1142	C₂×C₄	—	2	2	no	—
1143	C₂×C₄	—	2	2	no	—
1144	C₂×C₄	—	2	2	no	—
1145	C₂×C₄	—	2	1	no	—
1146	C₂×C₄	—	2	1	no	—
1147	C₂×C₄	—	2	1	no	—
1148	C₂×C₄	—	2	1	no	—
1149	C₂×C₄	—	2	2	no	—
1150	C₂×C₄	—	2	2	no	—
1151	C₂×C₄	—	2	2	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	—	4	4	no	—
1168	C₂×C₄	—	4	4	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	—	4	1	no	—
1211	C₂×C₄	—	4	1	no	—
1212	C₂×C₄	—	4	1	no	—
1213	C₂×C₄	—	4	1	no	—
1214	C₂×C₄	—	4	1	no	—
1215	C₂×C₄	—	4	1	no	—
1216	C₂×C₄	—	4	1	no	—
1217	C₂×C₄	—	4	1	no	—
1218	C₂×C₄	—	8	2	no	—
1219	C₂×C₄	—	8	2	no	—
1220	C₂×C₄	—	8	2	no	—
1221	C₂×C₄	—	8	4	no	—
1222	C₂×C₄	—	8	4	no	—
1223	C₂×C₄	—	8	2	no	—
1224	C₂×C₄	—	8	2	no	—
1225	C₂×C₄	—	8	4	no	—
1226	C₂×C₄	—	16	2	no	—
1227	C₂×C₄	—	16	2	no	—
1228	C₂×C₄	—	16	2	no	—
1229	C₂×C₄	—	16	2	no	—
1230	C₂×C₄	#525	1	2	yes	—
1231	C₂×C₄	C₂²×SD₁₆	1	2	yes	—
1232	C₂×C₄	C₂²×SD₁₆	1	2	yes	—
1233	C₂×C₄	C₂²×SD₁₆	1	2	yes	—
1234	C₂×C₄	C₂²×SD₁₆	1	2	yes	—
1235	C₂×C₄	C₂²×#41	1	1	yes	characteristic
1236	C₂×C₄	C₂²×#41	1	1	yes	characteristic
1237	C₂×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1238	C₂×C₄	#585	1	1	yes	characteristic
1239	C₂×C₄	#585	1	1	yes	characteristic
1240	C₂×C₄	#585	1	1	yes	characteristic
1241	C₈	—	2	2	no	—
1242	C₈	—	4	1	no	—
1243	C₈	—	4	1	no	—
1244	C₈	—	4	1	no	—
1245	C₈	—	4	1	no	—
1246	C₈	—	4	1	no	—
1247	C₈	—	4	1	no	—
1248	C₈	—	4	1	no	—
1249	C₂²	—	2	2	no	—
1250	C₂²	—	2	2	no	—
1251	C₂²	—	2	2	no	—
1252	C₂²	—	2	2	no	—
1253	C₂²	—	2	2	no	—
1254	C₂²	—	2	2	no	—
1255	C₂²	—	2	2	no	—
1256	C₂²	—	2	2	no	—
1257	C₂²	—	2	2	no	—
1258	C₂²	—	2	2	no	—
1259	C₂²	—	2	2	no	—
1260	C₂²	—	2	2	no	—
1261	C₂²	—	4	1	no	—
1262	C₂²	—	4	1	no	—
1263	C₂²	—	4	1	no	—
1264	C₂²	—	4	1	no	—
1265	C₂²	—	4	1	no	—
1266	C₂²	—	4	1	no	—
1267	C₂²	—	4	1	no	—
1268	C₂²	—	4	1	no	—
1269	C₂²	—	8	8	no	—
1270	C₂²	—	8	1	no	—
1271	C₂²	—	8	1	no	—
1272	C₂²	—	8	1	no	—
1273	C₂²	—	8	1	no	—
1274	C₂²	—	8	1	no	—
1275	C₂²	—	8	1	no	—
1276	C₂²	—	8	1	no	—
1277	C₂²	#3103	1	4	yes	—
1278	C₂²	C₂×#525	1	1	yes	characteristic
1279	C₂²	#3485	1	1	yes	characteristic
1280	C₂²	#3496	1	1	yes	characteristic
1281	C₂²	C₂³×SD₁₆	1	1	yes	characteristic
1282	C₂²	C₂×#575	1	1	yes	characteristic
1283	C₂²	#3584	1	1	yes	characteristic
1284	C₂²	#3586	1	1	yes	characteristic
1285	C₄	—	2	2	no	—
1286	C₄	—	2	2	no	—
1287	C₄	—	2	2	no	—
1288	C₄	—	2	2	no	—
1289	C₄	—	2	2	no	—
1290	C₄	—	4	1	no	—
1291	C₄	—	4	1	no	—
1292	C₄	—	4	1	no	—
1293	C₄	—	4	1	no	—
1294	C₄	—	4	2	no	—
1295	C₄	—	4	2	no	—
1296	C₄	—	4	1	no	—
1297	C₄	—	4	1	no	—
1298	C₄	—	4	2	no	—
1299	C₄	—	4	2	no	—
1300	C₄	—	8	1	no	—
1301	C₄	—	8	1	no	—
1302	C₄	—	8	1	no	—
1303	C₄	—	8	1	no	—
1304	C₄	—	8	1	no	—
1305	C₄	—	8	1	no	—
1306	C₄	—	8	1	no	—
1307	C₄	—	8	1	no	—
1308	C₄	—	8	1	no	—
1309	C₄	—	8	1	no	—
1310	C₄	—	8	1	no	—
1311	C₄	#3491	1	1	yes	characteristic
1312	C₄	#3494	1	1	yes	characteristic
1313	C₄	#3505	1	1	yes	characteristic
1314	C₄	#3510	1	1	yes	characteristic
1315	C₂	—	2	4	no	—
1316	C₂	—	4	2	no	—
1317	C₂	—	4	2	no	—
1318	C₂	—	16	1	no	—
1319	C₂	#35751	1	1	yes	characteristic
1320	C₂	C₂×#3103	1	1	yes	characteristic
1321	C₂	#60581	1	1	yes	characteristic
1322	C₂	#61695	1	1	yes	characteristic
1323	C₂	#61741	1	1	yes	characteristic
1324	C₂	#62243	1	1	yes	characteristic
1325	C₂	#62302	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³	C₂³×D₄
commutator, Frattini, cosocle	C₂²×C₄	C₂⁵
prime radical	#2847	C₂²
LCS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³ ◁ C₂×C₄×C₂²⋊C₄ ◁ G
LECS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁

Complements

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

N	H ≅ G/N	type
2. #34212	C₂	semidirect
3. #30168	C₂	semidirect
4. #30010	C₂	semidirect
6. #29466	C₂	semidirect
7. #29410	C₂	semidirect
8. #27628	C₂	semidirect
9. #27601	C₂	semidirect
10. #27098	C₂	semidirect
11. #27098	C₂	semidirect
12. #27034	C₂	semidirect
13. #27034	C₂	semidirect
14. #26788	C₂	semidirect
15. #26724	C₂	semidirect
16. #26660	C₂	semidirect
17. #26551	C₂	semidirect
18. #25992	C₂	semidirect
19. #25955	C₂	semidirect
20. #24703	C₂	semidirect
21. #24578	C₂	semidirect
23. #24528	C₂	semidirect
24. #23756	C₂	semidirect
25. #23700	C₂	semidirect
26. C₂×#2035	C₂	semidirect
27. #22918	C₂	semidirect
28. #22875	C₂	semidirect
29. #22609	C₂	semidirect
30. #22571	C₂	semidirect
31. #22552	C₂	semidirect
36. C₂×#475	C₂²	semidirect
38. C₂×C₄×SD₁₆	C₂²	semidirect
87. #2099	C₂²	semidirect
88. #2096	C₂²	semidirect
89. #2088	C₂²	semidirect
90. #2088	C₂²	semidirect
91. #2084	C₂²	semidirect
92. #2084	C₂²	semidirect
99. #2072	C₂²	semidirect
100. #2072	C₂²	semidirect
101. #2066	C₂²	semidirect
102. #2066	C₂²	semidirect
103. #2065	C₂²	semidirect
104. #2065	C₂²	semidirect
105. #2058	C₂²	semidirect
106. #2055	C₂²	semidirect
107. #2055	C₂²	semidirect
122. #2024	C₂²	semidirect
127. #1988	C₂²	semidirect
128. #1968	C₂²	semidirect
129. #1948	C₂²	semidirect
130. #1948	C₂²	semidirect
131. #1948	C₂²	semidirect
132. #1941	C₂²	semidirect
133. #1941	C₂²	semidirect
134. #1941	C₂²	semidirect
135. #1934	C₂²	semidirect
136. #1933	C₂²	semidirect
137. #1933	C₂²	semidirect
138. #1933	C₂²	semidirect
139. #1927	C₂²	semidirect
140. #1927	C₂²	semidirect
141. #1927	C₂²	semidirect
142. #1926	C₂²	semidirect
143. #1926	C₂²	semidirect
144. #1926	C₂²	semidirect
149. #1920	C₂²	semidirect
150. #1920	C₂²	semidirect
151. #1920	C₂²	semidirect
152. #1919	C₂²	semidirect
153. #1919	C₂²	semidirect
154. #1919	C₂²	semidirect
155. #1919	C₂²	semidirect
156. #1919	C₂²	semidirect
159. #1880	C₂²	semidirect
160. #1880	C₂²	semidirect
161. #1880	C₂²	semidirect
162. #1877	C₂²	semidirect
164. #1865	C₂²	semidirect
165. #1865	C₂²	semidirect
166. #1865	C₂²	semidirect
167. #1865	C₂²	semidirect
168. #1865	C₂²	semidirect
169. #1864	C₂²	semidirect
186. #1803	C₂²	semidirect
187. #1803	C₂²	semidirect
188. #1803	C₂²	semidirect
192. C₄×#106	C₂²	semidirect
193. C₄×#106	C₂²	semidirect
194. C₄×#106	C₂²	semidirect
195. C₄×#103	C₂²	semidirect
196. C₄×#103	C₂²	semidirect
197. C₄×#103	C₂²	semidirect
198. C₄×#102	C₂²	semidirect
673. C₂×C₂²⋊C₄	SD₁₆	semidirect

Maximal subgroups

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

subgroup	index
#36183	2
#34212	2
#30168	2
#30010	2
#29593	2
#29466	2
#29410	2
#27628	2
#27601	2
#27098	2
#27034	2
#26788	2
#26724	2
#26660	2
#26551	2
#25992	2
#25955	2
#24703	2
#24578	2
#24553	2
#24528	2
#23756	2
#23700	2
C₂×#2035	2
#22918	2
#22875	2
#22609	2
#22571	2
#22552	2