Subgroups — #7582240

Order 512.

1685 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	#59400	C₂	1	1	yes	maximal, characteristic, complemented
2	#36162	C₂	1	1	yes	maximal, characteristic
3	#31294	C₂	1	1	yes	maximal, characteristic, complemented
4	#31024	C₂	1	1	yes	maximal, characteristic
5	#30464	C₂	1	1	yes	maximal, characteristic, complemented
6	#30424	C₂	1	1	yes	maximal, characteristic
7	#29478	C₂	1	1	yes	maximal, characteristic, complemented
8	#29463	C₂	1	1	yes	maximal, characteristic, complemented
9	#29076	C₂	1	1	yes	maximal, characteristic, complemented
10	#28967	C₂	1	1	yes	maximal, characteristic, complemented
11	#27470	C₂	1	1	yes	maximal, characteristic, complemented
12	#27395	C₂	1	1	yes	maximal, characteristic, complemented
13	#27392	C₂	1	1	yes	maximal, characteristic, complemented
14	#27070	C₂	1	1	yes	maximal, characteristic, complemented
15	#26986	C₂	1	1	yes	maximal, characteristic, complemented
16	#26946	C₂	1	1	yes	maximal, characteristic, complemented
17	#26918	C₂	1	1	yes	maximal, characteristic, complemented
18	#26779	C₂	1	1	yes	maximal, characteristic, complemented
19	#26627	C₂	1	1	yes	maximal, characteristic, complemented
20	#26573	C₂	1	1	yes	maximal, characteristic, complemented
21	#26375	C₂	1	1	yes	maximal, characteristic, complemented
22	#25562	C₂	1	1	yes	maximal, characteristic, complemented
23	#25417	C₂	1	1	yes	maximal, characteristic, complemented
24	#24127	C₂	1	1	yes	maximal, characteristic, complemented
25	#23298	C₂	1	1	yes	maximal, characteristic, complemented
26	#23194	C₂	1	1	yes	maximal, characteristic, complemented
27	#23142	C₂	1	1	yes	maximal, characteristic, complemented
28	#23000	C₂	1	1	yes	maximal, characteristic, complemented
29	#22929	C₂	1	1	yes	maximal, characteristic, complemented
30	#21453	C₂	1	1	yes	maximal, characteristic, complemented
31	C₄×#450	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#552	C₂²	1	1	yes	characteristic
33	C₂²×C₄×D₄	C₂²	1	1	yes	characteristic
34	C₂×#497	C₂²	1	1	yes	characteristic
35	C₂×#481	C₂²	1	1	yes	characteristic
36	C₂×#485	C₂²	1	1	yes	characteristic, complemented
37	C₂×#479	C₂²	1	1	yes	characteristic, complemented
38	C₂×#470	C₂²	1	1	yes	characteristic, complemented
39	C₂×#468	C₂²	1	1	yes	characteristic
40	C₂×#464	C₂²	1	1	yes	characteristic
41	C₂×#450	C₂²	1	1	yes	characteristic
42	C₂×#450	C₂²	1	1	yes	characteristic
43	C₂×#440	C₂²	1	1	yes	characteristic
44	C₂×#440	C₂²	1	1	yes	characteristic
45	C₂×C₄×Q₁₆	C₂²	1	1	yes	characteristic, complemented
46	C₂×C₄×SD₁₆	C₂²	1	1	yes	characteristic
47	C₂×C₄×SD₁₆	C₂²	1	1	yes	characteristic
48	#2855	C₂²	1	1	yes	characteristic
49	#2849	—	2	1	no	—
50	#2766	—	2	1	no	—
51	#2739	—	2	1	no	—
52	#2590	—	2	1	no	—
53	#2587	—	2	1	no	—
54	#2576	—	2	1	no	—
55	#2573	—	2	1	no	—
56	#2536	C₂²	1	1	yes	characteristic
57	#2514	C₂²	1	1	yes	characteristic, complemented
58	#2509	C₂²	1	1	yes	characteristic, complemented
59	#2495	C₂²	1	1	yes	characteristic
60	#2482	—	2	1	no	—
61	#2470	—	2	1	no	—
62	#2467	—	2	1	no	—
63	#2467	—	2	1	no	—
64	#2460	—	2	1	no	—
65	#2460	—	2	1	no	—
66	#2454	C₂²	1	1	yes	characteristic
67	#2454	C₂²	1	1	yes	characteristic
68	#2435	C₂²	1	1	yes	characteristic
69	#2429	C₂²	1	1	yes	characteristic
70	#2429	C₂²	1	1	yes	characteristic, complemented
71	#2427	C₂²	1	1	yes	characteristic
72	#2427	C₂²	1	1	yes	characteristic
73	#2421	C₂²	1	1	yes	characteristic, complemented
74	#2417	C₂²	1	1	yes	characteristic
75	#2411	—	2	1	no	—
76	#2408	C₂²	1	1	yes	characteristic
77	#2367	C₂²	1	1	yes	characteristic
78	#2367	C₂²	1	1	yes	characteristic
79	#2365	C₂²	1	1	yes	characteristic, complemented
80	#2363	C₂²	1	1	yes	characteristic
81	#2363	C₂²	1	1	yes	characteristic
82	#2360	C₂²	1	1	yes	characteristic, complemented
83	#2351	C₂²	1	1	yes	characteristic, complemented
84	#2347	—	2	1	no	—
85	#2344	C₂²	1	1	yes	characteristic
86	#2344	C₂²	1	1	yes	characteristic, complemented
87	C₄×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
88	C₄×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
89	C₄×#123	C₂²	1	1	yes	characteristic
90	#2280	—	2	1	no	—
91	#2092	C₂²	1	1	yes	characteristic
92	#2092	C₂²	1	1	yes	characteristic
93	#2088	C₂²	1	1	yes	characteristic, complemented
94	#2088	C₂²	1	1	yes	characteristic, complemented
95	#2085	C₂²	1	1	yes	characteristic, complemented
96	#2077	C₂²	1	1	yes	characteristic
97	#2075	C₂²	1	1	yes	characteristic
98	#2073	C₂²	1	1	yes	characteristic
99	#2067	C₂²	1	1	yes	characteristic
100	#2065	C₂²	1	1	yes	characteristic
101	#2059	C₂²	1	1	yes	characteristic, complemented
102	#2055	C₂²	1	1	yes	characteristic
103	#2055	C₂²	1	1	yes	characteristic
104	#2043	C₂²	1	1	yes	characteristic, complemented
105	#2042	C₂²	1	1	yes	characteristic
106	#2042	C₂²	1	1	yes	characteristic
107	#2042	C₂²	1	1	yes	characteristic
108	#2036	C₂²	1	1	yes	characteristic
109	#2036	C₂²	1	1	yes	characteristic, complemented
110	#2035	C₂²	1	1	yes	characteristic
111	#2035	C₂²	1	1	yes	characteristic
112	#2035	C₂²	1	1	yes	characteristic
113	#2034	C₂²	1	1	yes	characteristic
114	#2026	C₂²	1	1	yes	characteristic, complemented
115	#2015	C₂²	1	1	yes	characteristic
116	#2013	C₂²	1	1	yes	characteristic
117	#2001	C₂²	1	1	yes	characteristic
118	#2001	C₂²	1	1	yes	characteristic
119	#2001	C₂²	1	1	yes	characteristic, complemented
120	#2000	C₂²	1	1	yes	characteristic
121	#2000	C₂²	1	1	yes	characteristic
122	#2000	C₂²	1	1	yes	characteristic
123	#1991	C₂²	1	1	yes	characteristic, complemented
124	#1983	C₂²	1	1	yes	characteristic
125	#1981	C₂²	1	1	yes	characteristic, complemented
126	#1971	C₂²	1	1	yes	characteristic, complemented
127	#1969	C₂²	1	1	yes	characteristic, complemented
128	#1968	C₂²	1	1	yes	characteristic
129	#1958	C₂²	1	1	yes	characteristic
130	#1954	C₂²	1	1	yes	characteristic
131	#1949	C₂²	1	1	yes	characteristic, complemented
132	#1944	C₂²	1	1	yes	characteristic, complemented
133	#1944	C₂²	1	1	yes	characteristic, complemented
134	#1941	C₂²	1	1	yes	characteristic, complemented
135	#1936	C₂²	1	1	yes	characteristic
136	#1935	C₂²	1	1	yes	characteristic, complemented
137	#1935	C₂²	1	1	yes	characteristic, complemented
138	#1934	C₂²	1	1	yes	characteristic
139	#1934	C₂²	1	1	yes	characteristic
140	#1933	C₂²	1	1	yes	characteristic, complemented
141	#1933	C₂²	1	1	yes	characteristic, complemented
142	#1933	C₂²	1	1	yes	characteristic, complemented
143	#1927	C₂²	1	1	yes	characteristic, complemented
144	#1927	C₂²	1	1	yes	characteristic, complemented
145	#1927	C₂²	1	1	yes	characteristic, complemented
146	#1926	C₂²	1	1	yes	characteristic
147	#1924	C₂²	1	1	yes	characteristic
148	#1924	C₂²	1	1	yes	characteristic, complemented
149	#1923	C₂²	1	1	yes	characteristic
150	#1923	C₂²	1	1	yes	characteristic, complemented
151	#1921	C₂²	1	1	yes	characteristic, complemented
152	#1921	C₂²	1	1	yes	characteristic, complemented
153	#1920	C₂²	1	1	yes	characteristic, complemented
154	#1920	C₂²	1	1	yes	characteristic, complemented
155	#1919	C₂²	1	1	yes	characteristic, complemented
156	#1918	C₂²	1	1	yes	characteristic, complemented
157	#1917	C₂²	1	1	yes	characteristic, complemented
158	#1916	C₂²	1	1	yes	characteristic, complemented
159	#1895	C₂²	1	1	yes	characteristic
160	#1880	C₂²	1	1	yes	characteristic
161	#1880	C₂²	1	1	yes	characteristic
162	#1880	C₂²	1	1	yes	characteristic
163	#1878	C₂²	1	1	yes	characteristic, complemented
164	#1878	C₂²	1	1	yes	characteristic, complemented
165	#1878	C₂²	1	1	yes	characteristic, complemented
166	#1877	C₂²	1	1	yes	characteristic
167	#1877	C₂²	1	1	yes	characteristic
168	#1877	C₂²	1	1	yes	characteristic
169	#1877	C₂²	1	1	yes	characteristic
170	#1874	C₂²	1	1	yes	characteristic
171	#1873	C₂²	1	1	yes	characteristic, complemented
172	#1872	C₂²	1	1	yes	characteristic
173	#1872	C₂²	1	1	yes	characteristic
174	#1872	C₂²	1	1	yes	characteristic, complemented
175	#1870	C₂²	1	1	yes	characteristic
176	#1865	C₂²	1	1	yes	characteristic, complemented
177	#1865	C₂²	1	1	yes	characteristic, complemented
178	#1865	C₂²	1	1	yes	characteristic, complemented
179	#1864	C₂²	1	1	yes	characteristic
180	#1864	C₂²	1	1	yes	characteristic
181	#1863	C₂²	1	1	yes	characteristic, complemented
182	#1862	C₂²	1	1	yes	characteristic
183	#1862	C₂²	1	1	yes	characteristic
184	#1854	C₂²	1	1	yes	characteristic, complemented
185	#1853	C₂²	1	1	yes	characteristic
186	#1852	C₂²	1	1	yes	characteristic
187	#1805	C₂²	1	1	yes	characteristic, complemented
188	#1786	C₂²	1	1	yes	characteristic
189	#1786	C₂²	1	1	yes	characteristic
190	#1776	C₂²	1	1	yes	characteristic, complemented
191	#1771	C₂²	1	1	yes	characteristic, complemented
192	C₈×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
193	#1762	C₂²	1	1	yes	characteristic
194	#1762	C₂²	1	1	yes	characteristic
195	C₄×#103	C₂²	1	1	yes	characteristic, complemented
196	C₄×#102	C₂²	1	1	yes	characteristic
197	C₄×#102	C₂²	1	1	yes	characteristic
198	#1753	C₂²	1	1	yes	characteristic, complemented
199	#1753	C₂²	1	1	yes	characteristic, complemented
200	#1749	C₂²	1	1	yes	characteristic
201	C₄×C₂²⋊C₈	C₂²	1	1	yes	characteristic
202	#1736	C₂²	1	1	yes	characteristic, complemented
203	C₂³×D₄	C₂³	1	1	yes	characteristic
204	C₂⁴×C₄	—	2	1	no	—
205	C₂²×Q₁₆	C₂³	1	1	yes	characteristic
206	C₂²×Q₁₆	C₂³	1	1	yes	characteristic
207	C₂²×SD₁₆	C₂³	1	1	yes	characteristic
208	C₂²×SD₁₆	C₂³	1	1	yes	characteristic
209	C₂²×SD₁₆	C₂³	1	1	yes	characteristic
210	C₂²×SD₁₆	C₂³	1	1	yes	characteristic
211	C₂²×M₁₆	C₂³	1	1	yes	characteristic
212	#552	—	4	2	no	—
213	#552	—	4	2	no	—
214	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
215	C₂×#126	—	2	1	no	—
216	C₂×#125	—	2	1	no	—
217	C₂×#125	C₂³	1	1	yes	characteristic
218	C₂×#124	C₂³	1	1	yes	characteristic
219	C₂×#124	C₂³	1	1	yes	characteristic
220	C₂×#123	—	2	1	no	—
221	C₂×#123	D₄	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×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×#120	—	2	1	no	—
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×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	—	4	2	no	—
239	C₂×C₄×D₄	—	4	2	no	—
240	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
241	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
242	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
243	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
244	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
245	C₂×#117	—	2	1	no	—
246	C₂×#117	—	2	1	no	—
247	C₂×#117	—	2	1	no	—
248	C₂×#117	C₂³	1	1	yes	characteristic
249	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
250	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
251	C₂²×C₂²⋊C₄	—	2	1	no	—
252	C₂²×C₄²	C₂³	1	1	yes	characteristic
253	#497	—	2	4	no	—
254	#485	—	4	2	no	—
255	#481	—	2	4	no	—
256	#479	—	4	2	no	—
257	#470	—	4	2	no	—
258	#468	—	2	4	no	—
259	#464	—	2	4	no	—
260	#450	—	2	4	no	—
261	#450	—	2	4	no	—
262	#440	—	4	2	no	—
263	#440	—	4	2	no	—
264	C₄×Q₁₆	—	4	2	no	—
265	C₄×SD₁₆	—	4	2	no	—
266	C₄×SD₁₆	—	4	2	no	—
267	C₂×#107	C₂³	1	1	yes	characteristic
268	C₂×#107	C₂³	1	1	yes	characteristic
269	C₂×#107	C₂³	1	1	yes	characteristic
270	C₂×#107	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×#106	C₂³	1	1	yes	characteristic
276	C₂×#106	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×C₄⋊C₈	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×#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×#102	C₂³	1	1	yes	characteristic
302	C₂×#102	C₂³	1	1	yes	characteristic
303	C₂×#102	C₂³	1	1	yes	characteristic
304	C₂×#102	C₂³	1	1	yes	characteristic
305	C₂×#102	C₂³	1	1	yes	characteristic
306	C₂×#102	C₂³	1	1	yes	characteristic
307	C₂×#102	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×C₂²⋊C₈	C₂³	1	1	yes	characteristic
313	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
314	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
315	C₂×#97	C₂³	1	1	yes	characteristic
316	C₂×#97	C₂³	1	1	yes	characteristic
317	C₂×#97	C₂³	1	1	yes	characteristic
318	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
319	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
320	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
321	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
322	#401	—	2	1	no	—
323	#400	—	2	1	no	—
324	#400	—	2	1	no	—
325	#400	—	2	1	no	—
326	#400	—	2	1	no	—
327	#400	—	2	1	no	—
328	#399	—	2	1	no	—
329	#399	—	2	1	no	—
330	#398	—	2	1	no	—
331	#398	—	2	1	no	—
332	#398	—	2	1	no	—
333	#398	—	2	1	no	—
334	#397	—	2	1	no	—
335	#397	—	2	1	no	—
336	#397	—	2	1	no	—
337	#397	—	2	1	no	—
338	#396	—	2	1	no	—
339	#396	—	2	1	no	—
340	#396	—	2	1	no	—
341	#396	—	2	1	no	—
342	#396	—	2	1	no	—
343	#394	—	2	1	no	—
344	#394	—	2	1	no	—
345	#394	—	2	1	no	—
346	#394	—	2	1	no	—
347	#394	—	2	1	no	—
348	#394	—	2	1	no	—
349	#392	—	2	1	no	—
350	#391	C₂³	1	1	yes	characteristic
351	#391	C₂³	1	1	yes	characteristic
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	#390	—	2	1	no	—
357	#390	—	2	1	no	—
358	#390	C₂³	1	1	yes	characteristic
359	#390	C₂³	1	1	yes	characteristic
360	#390	C₂³	1	1	yes	characteristic
361	#390	C₂³	1	1	yes	characteristic
362	#389	—	2	1	no	—
363	#389	—	2	1	no	—
364	#389	—	2	1	no	—
365	#389	—	2	1	no	—
366	#389	—	2	1	no	—
367	#389	—	2	1	no	—
368	#389	—	2	1	no	—
369	#389	C₂³	1	1	yes	characteristic
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	#388	—	2	1	no	—
380	#388	—	2	1	no	—
381	#388	—	2	1	no	—
382	#388	—	2	1	no	—
383	#388	—	2	1	no	—
384	#388	—	2	1	no	—
385	#388	—	2	1	no	—
386	#388	—	2	1	no	—
387	#388	—	2	1	no	—
388	#388	—	2	1	no	—
389	#388	—	2	1	no	—
390	#388	—	2	1	no	—
391	#388	D₄	1	1	yes	characteristic
392	#388	D₄	1	1	yes	characteristic
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	#387	—	2	1	no	—
407	#387	D₄	1	1	yes	characteristic
408	#387	D₄	1	1	yes	characteristic
409	#386	—	2	1	no	—
410	#386	—	2	1	no	—
411	#386	—	2	1	no	—
412	#386	—	2	1	no	—
413	#386	—	2	1	no	—
414	#386	D₄	1	1	yes	characteristic
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	#385	—	2	1	no	—
421	#385	—	2	1	no	—
422	#385	—	2	1	no	—
423	#385	D₄	1	1	yes	characteristic
424	#383	—	2	1	no	—
425	#383	—	2	1	no	—
426	#382	—	2	1	no	—
427	#382	C₂³	1	1	yes	characteristic
428	#382	C₂³	1	1	yes	characteristic
429	#381	—	2	1	no	—
430	#381	—	2	1	no	—
431	#381	—	2	1	no	—
432	#381	D₄	1	1	yes	characteristic
433	#380	—	2	1	no	—
434	#380	—	2	1	no	—
435	#380	—	2	1	no	—
436	#380	—	2	1	no	—
437	#380	—	2	1	no	—
438	#380	C₂³	1	1	yes	characteristic
439	#380	C₂³	1	1	yes	characteristic
440	#380	C₂³	1	1	yes	characteristic
441	#380	C₂³	1	1	yes	characteristic
442	#379	—	2	1	no	—
443	#379	—	2	1	no	—
444	#379	—	2	1	no	—
445	C₄×C₄⋊C₄	—	2	1	no	—
446	C₄×C₄⋊C₄	—	2	1	no	—
447	C₄×C₄⋊C₄	—	2	1	no	—
448	C₄×C₄⋊C₄	—	2	1	no	—
449	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
450	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
451	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
452	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
453	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
454	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
455	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
456	C₄×C₂²⋊C₄	—	2	1	no	—
457	C₄×C₂²⋊C₄	—	2	1	no	—
458	C₄×C₂²⋊C₄	—	2	1	no	—
459	C₄×C₂²⋊C₄	—	2	1	no	—
460	C₄×C₂²⋊C₄	—	2	1	no	—
461	C₄×C₂²⋊C₄	—	2	1	no	—
462	C₄×C₂²⋊C₄	—	2	1	no	—
463	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
464	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
465	C₄×C₂²⋊C₄	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	#340	C₂³	1	1	yes	characteristic
484	#340	C₂³	1	1	yes	characteristic
485	#340	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	#336	C₂³	1	1	yes	characteristic
494	#336	C₂³	1	1	yes	characteristic
495	#336	C₂³	1	1	yes	characteristic
496	C₂⁵	—	2	1	no	—
497	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
498	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
499	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
500	C₂²×D₄	—	2	2	no	—
501	C₂²×D₄	—	2	2	no	—
502	C₂²×D₄	—	2	1	no	—
503	C₂²×D₄	—	2	1	no	—
504	C₂²×D₄	—	2	1	no	—
505	C₂²×D₄	—	4	1	no	—
506	C₂²×D₄	—	4	1	no	—
507	C₂²×D₄	—	4	1	no	—
508	C₂²×D₄	—	4	1	no	—
509	C₂²×D₄	C₂×D₄	1	1	yes	characteristic
510	C₂²×D₄	C₂⁴	1	1	yes	characteristic
511	C₂²×D₄	C₂⁴	1	1	yes	characteristic
512	C₂³×C₄	—	2	1	no	—
513	C₂³×C₄	—	2	1	no	—
514	C₂³×C₄	—	2	1	no	—
515	C₂³×C₄	—	2	1	no	—
516	C₂³×C₄	—	2	1	no	—
517	C₂³×C₄	—	2	1	no	—
518	C₂³×C₄	—	4	4	no	—
519	C₂³×C₄	—	4	4	no	—
520	C₂³×C₄	—	8	2	no	—
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	—	4	1	no	—
529	C₂×Q₁₆	—	4	1	no	—
530	C₂×Q₁₆	—	4	1	no	—
531	C₂×SD₁₆	—	2	2	no	—
532	C₂×SD₁₆	—	2	2	no	—
533	C₂×SD₁₆	—	2	2	no	—
534	C₂×SD₁₆	—	2	2	no	—
535	C₂×SD₁₆	—	2	2	no	—
536	C₂×SD₁₆	—	4	1	no	—
537	C₂×SD₁₆	—	4	1	no	—
538	C₂×SD₁₆	—	4	1	no	—
539	C₂×SD₁₆	—	4	1	no	—
540	C₂×SD₁₆	—	4	1	no	—
541	C₂×SD₁₆	—	4	1	no	—
542	C₂×SD₁₆	#41	1	4	yes	—
543	C₂×M₁₆	—	2	2	no	—
544	C₂×M₁₆	—	4	1	no	—
545	C₂×M₁₆	—	4	1	no	—
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	C₂²×C₈	C₂⁴	1	1	yes	characteristic
552	C₂²×C₈	C₂⁴	1	1	yes	characteristic
553	C₂²×C₈	C₂⁴	1	1	yes	characteristic
554	C₄⋊Q₈	—	2	2	no	—
555	C₄⋊Q₈	—	4	1	no	—
556	#126	—	4	4	no	—
557	#125	—	2	2	no	—
558	#125	—	4	1	no	—
559	#125	—	4	4	no	—
560	#124	—	2	2	no	—
561	#124	—	2	2	no	—
562	#124	—	4	1	no	—
563	#124	—	4	1	no	—
564	#123	—	4	2	no	—
565	#123	—	4	4	no	—
566	C₂²⋊Q₈	—	2	2	no	—
567	C₂²⋊Q₈	—	2	2	no	—
568	C₂²⋊Q₈	—	2	2	no	—
569	C₂²⋊Q₈	—	2	2	no	—
570	C₂²⋊Q₈	—	4	1	no	—
571	C₂²⋊Q₈	—	4	1	no	—
572	C₂²⋊Q₈	—	4	1	no	—
573	C₂²⋊Q₈	—	4	1	no	—
574	C₂²⋊Q₈	—	4	1	no	—
575	C₂²⋊Q₈	—	4	1	no	—
576	C₂²⋊Q₈	—	4	1	no	—
577	C₂²⋊Q₈	—	4	1	no	—
578	#121	—	2	2	no	—
579	#121	—	2	2	no	—
580	#121	—	4	1	no	—
581	#121	—	4	1	no	—
582	#120	—	8	2	no	—
583	C₄×Q₈	—	2	2	no	—
584	C₄×Q₈	—	2	2	no	—
585	C₄×Q₈	—	4	1	no	—
586	C₄×Q₈	—	4	1	no	—
587	C₄×Q₈	—	4	1	no	—
588	C₄×Q₈	—	4	1	no	—
589	C₄×Q₈	—	4	1	no	—
590	C₄×Q₈	—	4	1	no	—
591	C₄×Q₈	—	4	1	no	—
592	C₄×Q₈	—	4	1	no	—
593	C₄×D₄	—	2	2	no	—
594	C₄×D₄	—	2	2	no	—
595	C₄×D₄	—	2	2	no	—
596	C₄×D₄	—	2	2	no	—
597	C₄×D₄	—	4	1	no	—
598	C₄×D₄	—	4	1	no	—
599	C₄×D₄	—	4	1	no	—
600	C₄×D₄	—	4	1	no	—
601	C₄×D₄	—	4	1	no	—
602	C₄×D₄	—	4	1	no	—
603	C₄×D₄	—	4	4	no	—
604	C₄×D₄	—	4	4	no	—
605	#117	—	2	2	no	—
606	#117	—	4	4	no	—
607	#117	—	4	1	no	—
608	#117	—	4	4	no	—
609	#117	—	8	2	no	—
610	C₂×C₄⋊C₄	—	2	1	no	—
611	C₂×C₄⋊C₄	—	2	2	no	—
612	C₂×C₄⋊C₄	—	2	2	no	—
613	C₂×C₄⋊C₄	—	2	2	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	—	2	1	no	—
634	C₂×C₄⋊C₄	—	2	1	no	—
635	C₂×C₄⋊C₄	—	2	1	no	—
636	C₂×C₄⋊C₄	—	2	1	no	—
637	C₂×C₄⋊C₄	—	2	1	no	—
638	C₂×C₄⋊C₄	—	2	1	no	—
639	C₂×C₄⋊C₄	—	2	1	no	—
640	C₂×C₄⋊C₄	—	4	1	no	—
641	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
642	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
643	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
644	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
645	C₂×C₄⋊C₄	C₂×D₄	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×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
652	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
653	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
654	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
655	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
656	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
671	C₂×C₂²⋊C₄	—	2	1	no	—
672	C₂×C₂²⋊C₄	—	2	1	no	—
673	C₂×C₂²⋊C₄	—	2	1	no	—
674	C₂×C₂²⋊C₄	—	2	1	no	—
675	C₂×C₂²⋊C₄	—	2	1	no	—
676	C₂×C₂²⋊C₄	—	2	1	no	—
677	C₂×C₂²⋊C₄	—	2	1	no	—
678	C₂×C₂²⋊C₄	—	2	1	no	—
679	C₂×C₂²⋊C₄	—	2	1	no	—
680	C₂×C₂²⋊C₄	—	2	1	no	—
681	C₂×C₂²⋊C₄	—	2	1	no	—
682	C₂×C₂²⋊C₄	—	2	1	no	—
683	C₂×C₂²⋊C₄	—	2	1	no	—
684	C₂×C₂²⋊C₄	—	2	1	no	—
685	C₂×C₂²⋊C₄	—	2	1	no	—
686	C₂×C₂²⋊C₄	—	4	4	no	—
687	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
688	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
689	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
690	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
691	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
692	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
693	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
694	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
695	C₂×C₄²	—	2	1	no	—
696	C₂×C₄²	—	2	1	no	—
697	C₂×C₄²	—	2	1	no	—
698	C₂×C₄²	—	2	1	no	—
699	C₂×C₄²	—	2	1	no	—
700	C₂×C₄²	—	2	1	no	—
701	C₂×C₄²	—	2	1	no	—
702	C₂×C₄²	—	2	1	no	—
703	C₂×C₄²	—	2	1	no	—
704	C₂×C₄²	—	2	1	no	—
705	C₂×C₄²	—	2	1	no	—
706	C₂×C₄²	—	4	1	no	—
707	C₂×C₄²	—	4	1	no	—
708	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
709	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
710	C₂×C₄²	C₂⁴	1	1	yes	characteristic
711	C₂×C₄²	C₂⁴	1	1	yes	characteristic
712	C₂×C₄²	C₂⁴	1	1	yes	characteristic
713	C₂×C₄²	C₂⁴	1	1	yes	characteristic
714	C₂×C₄²	C₂⁴	1	1	yes	characteristic
715	#107	—	2	2	no	—
716	#107	—	2	2	no	—
717	#107	—	2	2	no	—
718	#107	—	4	1	no	—
719	#106	—	2	2	no	—
720	#106	—	2	2	no	—
721	#106	—	2	2	no	—
722	#106	—	2	2	no	—
723	#106	—	4	1	no	—
724	#106	—	4	1	no	—
725	C₄⋊C₈	—	2	2	no	—
726	C₄⋊C₈	—	4	1	no	—
727	C₄⋊C₈	—	4	1	no	—
728	#103	—	2	2	no	—
729	#103	—	2	2	no	—
730	#103	—	2	2	no	—
731	#103	—	2	2	no	—
732	#103	—	2	2	no	—
733	#103	—	2	2	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	#103	—	4	1	no	—
740	#103	—	4	1	no	—
741	#103	—	4	1	no	—
742	#103	—	4	1	no	—
743	#103	—	4	1	no	—
744	#102	—	2	2	no	—
745	#102	—	2	2	no	—
746	#102	—	2	2	no	—
747	#102	—	2	2	no	—
748	#102	—	2	2	no	—
749	#102	—	4	1	no	—
750	#102	—	4	1	no	—
751	#102	—	4	1	no	—
752	#102	—	4	1	no	—
753	#102	—	4	1	no	—
754	#102	—	4	1	no	—
755	#102	#41	1	4	yes	—
756	C₂²⋊C₈	—	2	2	no	—
757	C₂²⋊C₈	—	2	2	no	—
758	C₂²⋊C₈	—	2	2	no	—
759	C₂²⋊C₈	—	4	1	no	—
760	C₂²⋊C₈	—	4	1	no	—
761	C₂²⋊C₈	—	4	1	no	—
762	C₂²⋊C₈	—	4	1	no	—
763	#97	—	2	2	no	—
764	#97	—	4	1	no	—
765	#97	—	4	1	no	—
766	C₄×C₈	—	4	1	no	—
767	C₄×C₈	—	4	1	no	—
768	C₄×C₈	—	4	1	no	—
769	C₄×C₈	—	4	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	—	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	C₂×D₄	1	1	yes	characteristic
806	#95	C₂×D₄	1	1	yes	characteristic
807	#95	C₂×D₄	1	1	yes	characteristic
808	#95	C₂×D₄	1	1	yes	characteristic
809	#95	C₂×D₄	1	1	yes	characteristic
810	#95	C₂×D₄	1	1	yes	characteristic
811	#95	C₂×D₄	1	1	yes	characteristic
812	#95	C₂×D₄	1	1	yes	characteristic
813	#95	C₂×D₄	1	1	yes	characteristic
814	#95	C₂×D₄	1	1	yes	characteristic
815	C₂⁴	—	2	1	no	—
816	C₂⁴	—	2	1	no	—
817	C₂⁴	—	4	2	no	—
818	C₂⁴	—	4	2	no	—
819	C₂⁴	—	4	2	no	—
820	C₂⁴	—	4	2	no	—
821	C₂⁴	—	4	2	no	—
822	C₂⁴	—	8	1	no	—
823	C₂⁴	—	8	1	no	—
824	C₂⁴	C₂²×D₄	1	1	yes	characteristic
825	C₂⁴	C₂²×D₄	1	1	yes	characteristic
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	—	2	1	no	—
836	C₂×Q₈	—	2	1	no	—
837	C₂×Q₈	—	2	1	no	—
838	C₂×Q₈	—	2	1	no	—
839	C₂×Q₈	—	2	1	no	—
840	C₂×Q₈	—	2	1	no	—
841	C₂×Q₈	—	2	1	no	—
842	C₂×Q₈	—	2	1	no	—
843	C₂×Q₈	C₂×#41	1	2	yes	—
844	C₂×D₄	—	2	2	no	—
845	C₂×D₄	—	2	1	no	—
846	C₂×D₄	—	2	1	no	—
847	C₂×D₄	—	2	1	no	—
848	C₂×D₄	—	2	1	no	—
849	C₂×D₄	—	2	1	no	—
850	C₂×D₄	—	2	1	no	—
851	C₂×D₄	—	2	1	no	—
852	C₂×D₄	—	2	1	no	—
853	C₂×D₄	—	2	1	no	—
854	C₂×D₄	—	2	1	no	—
855	C₂×D₄	—	4	2	no	—
856	C₂×D₄	—	4	2	no	—
857	C₂×D₄	—	4	2	no	—
858	C₂×D₄	—	4	1	no	—
859	C₂×D₄	—	4	1	no	—
860	C₂×D₄	—	4	4	no	—
861	C₂×D₄	—	4	4	no	—
862	C₂×D₄	—	4	4	no	—
863	C₂×D₄	—	4	4	no	—
864	C₂×D₄	—	4	2	no	—
865	C₂×D₄	—	4	2	no	—
866	C₂×D₄	—	8	1	no	—
867	C₂×D₄	—	8	1	no	—
868	C₂×D₄	—	8	1	no	—
869	C₂×D₄	—	8	1	no	—
870	C₂×D₄	C₂×#41	1	2	yes	—
871	C₂×D₄	C₂×#41	1	2	yes	—
872	C₂²×C₄	—	2	4	no	—
873	C₂²×C₄	—	2	2	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	2	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	—	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	—	2	1	no	—
893	C₂²×C₄	—	2	1	no	—
894	C₂²×C₄	—	2	1	no	—
895	C₂²×C₄	—	2	1	no	—
896	C₂²×C₄	—	2	1	no	—
897	C₂²×C₄	—	2	1	no	—
898	C₂²×C₄	—	2	1	no	—
899	C₂²×C₄	—	2	1	no	—
900	C₂²×C₄	—	2	1	no	—
901	C₂²×C₄	—	4	1	no	—
902	C₂²×C₄	—	4	1	no	—
903	C₂²×C₄	—	4	1	no	—
904	C₂²×C₄	—	4	1	no	—
905	C₂²×C₄	—	4	2	no	—
906	C₂²×C₄	—	4	2	no	—
907	C₂²×C₄	—	4	2	no	—
908	C₂²×C₄	—	4	2	no	—
909	C₂²×C₄	—	4	2	no	—
910	C₂²×C₄	—	4	2	no	—
911	C₂²×C₄	—	4	2	no	—
912	C₂²×C₄	—	4	2	no	—
913	C₂²×C₄	—	4	2	no	—
914	C₂²×C₄	—	4	2	no	—
915	C₂²×C₄	—	4	2	no	—
916	C₂²×C₄	—	4	2	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	16	no	—
923	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
924	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
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	C₂⁵	1	1	yes	characteristic
936	Q₁₆	—	4	4	no	—
937	Q₁₆	—	8	2	no	—
938	SD₁₆	—	4	4	no	—
939	SD₁₆	—	4	4	no	—
940	SD₁₆	—	4	4	no	—
941	SD₁₆	—	4	4	no	—
942	M₁₆	—	8	2	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	—	2	1	no	—
965	C₂×C₈	C₂×#41	1	2	yes	—
966	C₂×C₈	C₂×#41	1	2	yes	—
967	C₄⋊C₄	—	2	4	no	—
968	C₄⋊C₄	—	2	2	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	—	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	—	4	1	no	—
989	C₄⋊C₄	—	4	1	no	—
990	C₄⋊C₄	—	4	1	no	—
991	C₄⋊C₄	—	4	1	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	—	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	C₂×#41	1	2	yes	—
1019	C₄⋊C₄	H(5,𝔽₂)	1	2	yes	—
1020	C₄⋊C₄	H(5,𝔽₂)	1	2	yes	—
1021	C₂²⋊C₄	—	2	2	no	—
1022	C₂²⋊C₄	—	2	2	no	—
1023	C₂²⋊C₄	—	4	1	no	—
1024	C₂²⋊C₄	—	4	1	no	—
1025	C₂²⋊C₄	—	4	1	no	—
1026	C₂²⋊C₄	—	4	1	no	—
1027	C₂²⋊C₄	—	4	1	no	—
1028	C₂²⋊C₄	—	4	1	no	—
1029	C₂²⋊C₄	—	4	2	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	—	8	1	no	—
1052	C₂²⋊C₄	—	8	1	no	—
1053	C₂²⋊C₄	—	8	1	no	—
1054	C₂²⋊C₄	—	8	1	no	—
1055	C₂²⋊C₄	—	8	1	no	—
1056	C₂²⋊C₄	—	8	1	no	—
1057	C₂²⋊C₄	—	8	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	—	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	—	4	1	no	—
1069	C₄²	—	4	1	no	—
1070	C₄²	—	4	2	no	—
1071	C₄²	—	4	2	no	—
1072	C₄²	—	4	2	no	—
1073	C₄²	—	4	2	no	—
1074	C₄²	—	4	2	no	—
1075	C₄²	—	8	1	no	—
1076	C₄²	—	8	1	no	—
1077	C₄²	—	8	1	no	—
1078	C₄²	—	8	1	no	—
1079	C₄²	—	8	1	no	—
1080	C₄²	—	8	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	2	no	—
1090	C₂³	—	2	2	no	—
1091	C₂³	—	2	1	no	—
1092	C₂³	—	2	1	no	—
1093	C₂³	—	2	1	no	—
1094	C₂³	—	2	1	no	—
1095	C₂³	—	2	1	no	—
1096	C₂³	—	4	8	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	—	4	1	no	—
1105	C₂³	—	4	1	no	—
1106	C₂³	—	4	1	no	—
1107	C₂³	—	4	1	no	—
1108	C₂³	—	4	1	no	—
1109	C₂³	—	8	4	no	—
1110	C₂³	—	8	4	no	—
1111	C₂³	—	8	4	no	—
1112	C₂³	—	8	4	no	—
1113	C₂³	—	8	4	no	—
1114	C₂³	—	8	4	no	—
1115	C₂³	#577	1	2	yes	—
1116	C₂³	C₂³×D₄	1	1	yes	characteristic
1117	Q₈	—	2	2	no	—
1118	Q₈	—	2	2	no	—
1119	Q₈	—	4	1	no	—
1120	Q₈	—	4	1	no	—
1121	Q₈	—	4	1	no	—
1122	Q₈	—	4	1	no	—
1123	Q₈	—	4	1	no	—
1124	Q₈	—	4	1	no	—
1125	Q₈	—	4	1	no	—
1126	Q₈	—	4	1	no	—
1127	Q₈	—	4	1	no	—
1128	Q₈	—	4	1	no	—
1129	D₄	—	2	2	no	—
1130	D₄	—	2	2	no	—
1131	D₄	—	2	2	no	—
1132	D₄	—	2	2	no	—
1133	D₄	—	4	8	no	—
1134	D₄	—	4	1	no	—
1135	D₄	—	4	1	no	—
1136	D₄	—	4	1	no	—
1137	D₄	—	4	1	no	—
1138	D₄	—	8	2	no	—
1139	D₄	—	16	2	no	—
1140	D₄	—	16	2	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	1	no	—
1148	C₂×C₄	—	2	1	no	—
1149	C₂×C₄	—	2	1	no	—
1150	C₂×C₄	—	2	1	no	—
1151	C₂×C₄	—	2	1	no	—
1152	C₂×C₄	—	2	1	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	2	no	—
1158	C₂×C₄	—	2	2	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	—	2	2	no	—
1169	C₂×C₄	—	2	1	no	—
1170	C₂×C₄	—	2	1	no	—
1171	C₂×C₄	—	2	2	no	—
1172	C₂×C₄	—	2	1	no	—
1173	C₂×C₄	—	2	1	no	—
1174	C₂×C₄	—	2	1	no	—
1175	C₂×C₄	—	2	1	no	—
1176	C₂×C₄	—	2	1	no	—
1177	C₂×C₄	—	2	1	no	—
1178	C₂×C₄	—	2	1	no	—
1179	C₂×C₄	—	2	1	no	—
1180	C₂×C₄	—	4	4	no	—
1181	C₂×C₄	—	4	8	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	—	4	1	no	—
1219	C₂×C₄	—	4	1	no	—
1220	C₂×C₄	—	4	1	no	—
1221	C₂×C₄	—	4	1	no	—
1222	C₂×C₄	—	4	1	no	—
1223	C₂×C₄	—	4	1	no	—
1224	C₂×C₄	—	4	1	no	—
1225	C₂×C₄	—	4	1	no	—
1226	C₂×C₄	—	4	1	no	—
1227	C₂×C₄	—	4	1	no	—
1228	C₂×C₄	—	8	4	no	—
1229	C₂×C₄	—	8	4	no	—
1230	C₂×C₄	—	8	2	no	—
1231	C₂×C₄	—	8	4	no	—
1232	C₂×C₄	—	8	4	no	—
1233	C₂×C₄	—	8	4	no	—
1234	C₂×C₄	#575	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	C₂×H(5,𝔽₂)	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	—	2	2	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	—	4	1	no	—
1253	C₂²	—	4	1	no	—
1254	C₂²	—	4	1	no	—
1255	C₂²	—	4	1	no	—
1256	C₂²	—	4	1	no	—
1257	C₂²	—	4	2	no	—
1258	C₂²	—	4	1	no	—
1259	C₂²	—	4	2	no	—
1260	C₂²	—	4	1	no	—
1261	C₂²	—	4	2	no	—
1262	C₂²	—	4	2	no	—
1263	C₂²	—	4	1	no	—
1264	C₂²	—	4	2	no	—
1265	C₂²	—	4	1	no	—
1266	C₂²	—	4	2	no	—
1267	C₂²	—	4	1	no	—
1268	C₂²	—	4	1	no	—
1269	C₂²	—	8	16	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	—	8	1	no	—
1278	C₂²	D₄×#41	1	1	yes	characteristic
1279	C₂²	D₄×#41	1	1	yes	characteristic
1280	C₂²	#3484	1	1	yes	characteristic
1281	C₂²	C₂×#575	1	1	yes	characteristic
1282	C₂²	C₂×#577	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	—	4	1	no	—
1287	C₄	—	4	2	no	—
1288	C₄	—	4	1	no	—
1289	C₄	—	4	1	no	—
1290	C₄	—	4	1	no	—
1291	C₄	—	4	2	no	—
1292	C₄	—	4	1	no	—
1293	C₄	—	4	1	no	—
1294	C₄	—	4	1	no	—
1295	C₄	—	4	1	no	—
1296	C₄	—	4	2	no	—
1297	C₄	—	4	2	no	—
1298	C₄	—	4	1	no	—
1299	C₄	—	4	1	no	—
1300	C₄	—	4	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	#3481	1	1	yes	characteristic
1312	C₄	#3505	1	1	yes	characteristic
1313	C₄	#3506	1	1	yes	characteristic
1314	C₄	#3539	1	1	yes	characteristic
1315	C₂	—	4	2	no	—
1316	C₂	—	8	1	no	—
1317	C₂	—	8	2	no	—
1318	C₂	—	8	2	no	—
1319	C₂	#59174	1	1	yes	characteristic
1320	C₂	#61442	1	1	yes	characteristic
1321	C₂	#61463	1	1	yes	characteristic
1322	C₂	#61490	1	1	yes	characteristic
1323	C₂	#61520	1	1	yes	characteristic
1324	C₂	#61601	1	1	yes	characteristic
1325	C₂	#61615	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³	C₂³×D₄
commutator, Frattini, cosocle	C₂²×C₄	C₂⁵
prime radical	#2408	C₂²
LCS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³ ◁ C₄×#123 ◁ G
LECS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁

Complements

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

N	H ≅ G/N	type
1. #59400	C₂	semidirect
3. #31294	C₂	semidirect
5. #30464	C₂	semidirect
7. #29478	C₂	semidirect
8. #29463	C₂	semidirect
9. #29076	C₂	semidirect
10. #28967	C₂	semidirect
11. #27470	C₂	semidirect
12. #27395	C₂	semidirect
13. #27392	C₂	semidirect
14. #27070	C₂	semidirect
15. #26986	C₂	semidirect
16. #26946	C₂	semidirect
17. #26918	C₂	semidirect
18. #26779	C₂	semidirect
19. #26627	C₂	semidirect
20. #26573	C₂	semidirect
21. #26375	C₂	semidirect
22. #25562	C₂	semidirect
23. #25417	C₂	semidirect
24. #24127	C₂	semidirect
25. #23298	C₂	semidirect
26. #23194	C₂	semidirect
27. #23142	C₂	semidirect
28. #23000	C₂	semidirect
29. #22929	C₂	semidirect
30. #21453	C₂	semidirect
31. C₄×#450	C₂	semidirect
36. C₂×#485	C₂²	semidirect
37. C₂×#479	C₂²	semidirect
38. C₂×#470	C₂²	semidirect
45. C₂×C₄×Q₁₆	C₂²	semidirect
57. #2514	C₂²	semidirect
58. #2509	C₂²	semidirect
70. #2429	C₂²	semidirect
73. #2421	C₂²	semidirect
79. #2365	C₂²	semidirect
82. #2360	C₂²	semidirect
83. #2351	C₂²	semidirect
86. #2344	C₂²	semidirect
93. #2088	C₂²	semidirect
94. #2088	C₂²	semidirect
95. #2085	C₂²	semidirect
101. #2059	C₂²	semidirect
104. #2043	C₂²	semidirect
109. #2036	C₂²	semidirect
114. #2026	C₂²	semidirect
119. #2001	C₂²	semidirect
123. #1991	C₂²	semidirect
125. #1981	C₂²	semidirect
126. #1971	C₂²	semidirect
127. #1969	C₂²	semidirect
131. #1949	C₂²	semidirect
132. #1944	C₂²	semidirect
133. #1944	C₂²	semidirect
134. #1941	C₂²	semidirect
136. #1935	C₂²	semidirect
137. #1935	C₂²	semidirect
140. #1933	C₂²	semidirect
141. #1933	C₂²	semidirect
142. #1933	C₂²	semidirect
143. #1927	C₂²	semidirect
144. #1927	C₂²	semidirect
145. #1927	C₂²	semidirect
148. #1924	C₂²	semidirect
150. #1923	C₂²	semidirect
151. #1921	C₂²	semidirect
152. #1921	C₂²	semidirect
153. #1920	C₂²	semidirect
154. #1920	C₂²	semidirect
155. #1919	C₂²	semidirect
156. #1918	C₂²	semidirect
157. #1917	C₂²	semidirect
158. #1916	C₂²	semidirect
163. #1878	C₂²	semidirect
164. #1878	C₂²	semidirect
165. #1878	C₂²	semidirect
171. #1873	C₂²	semidirect
174. #1872	C₂²	semidirect
176. #1865	C₂²	semidirect
177. #1865	C₂²	semidirect
178. #1865	C₂²	semidirect
181. #1863	C₂²	semidirect
184. #1854	C₂²	semidirect
187. #1805	C₂²	semidirect
190. #1776	C₂²	semidirect
191. #1771	C₂²	semidirect
192. C₈×C₄⋊C₄	C₂²	semidirect
195. C₄×#103	C₂²	semidirect
198. #1753	C₂²	semidirect
199. #1753	C₂²	semidirect
202. #1736	C₂²	semidirect

Maximal subgroups

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

subgroup	index
#59400	2
#36162	2
#31294	2
#31024	2
#30464	2
#30424	2
#29478	2
#29463	2
#29076	2
#28967	2
#27470	2
#27395	2
#27392	2
#27070	2
#26986	2
#26946	2
#26918	2
#26779	2
#26627	2
#26573	2
#26375	2
#25562	2
#25417	2
#24127	2
#23298	2
#23194	2
#23142	2
#23000	2
#22929	2
#21453	2
C₄×#450	2