Subgroups — #6401171

Order 512.

1788 conjugacy classes of subgroups.

The subgroup lattice has 1338 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₄×#551	C₂	1	1	yes	maximal, characteristic
2	#23284	C₂	1	1	yes	maximal, characteristic, complemented
3	#23284	C₂	1	1	yes	maximal, characteristic, complemented
4	#23237	C₂	1	1	yes	maximal, characteristic, complemented
5	#23205	C₂	1	1	yes	maximal, characteristic, complemented
6	#22953	C₂	1	1	yes	maximal, characteristic, complemented
7	#22910	C₂	1	1	yes	maximal, characteristic, complemented
8	#22906	C₂	1	1	yes	maximal, characteristic, complemented
9	#22906	C₂	1	1	yes	maximal, characteristic, complemented
10	#22848	C₂	1	1	yes	maximal, characteristic
11	#22749	C₂	1	1	yes	maximal, characteristic, complemented
12	#22698	C₂	1	1	yes	maximal, characteristic, complemented
13	#22590	C₂	1	1	yes	maximal, characteristic, complemented
14	#22589	C₂	1	1	yes	maximal, characteristic, complemented
15	#22555	C₂	1	1	yes	maximal, characteristic, complemented
16	#22552	C₂	1	1	yes	maximal, characteristic, complemented
17	#22387	C₂	1	1	yes	maximal, characteristic, complemented
18	#22365	C₂	1	1	yes	maximal, characteristic, complemented
19	#22349	C₂	1	1	yes	maximal, characteristic, complemented
20	#22347	C₂	1	1	yes	maximal, characteristic, complemented
21	#22289	C₂	1	1	yes	maximal, characteristic, complemented
22	#22073	C₂	1	1	yes	maximal, characteristic, complemented
23	C₈×C₂²⋊Q₈	C₂	1	1	yes	maximal, characteristic, complemented
24	#21564	C₂	1	1	yes	maximal, characteristic, complemented
25	#21441	C₂	1	1	yes	maximal, characteristic
26	#21355	C₂	1	1	yes	maximal, characteristic, complemented
27	#21101	C₂	1	1	yes	maximal, characteristic, complemented
28	#20837	C₂	1	1	yes	maximal, characteristic, complemented
29	#20567	C₂	1	1	yes	maximal, characteristic, complemented
30	#20550	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#1753	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂³×M₁₆	C₂²	1	1	yes	characteristic
33	C₂×#551	C₄	1	1	yes	characteristic
34	C₂×C₈×Q₈	C₂²	1	1	yes	characteristic, complemented
35	C₂×#436	C₂²	1	1	yes	characteristic
36	C₂×#436	C₂²	1	1	yes	characteristic
37	C₂×#436	C₂²	1	1	yes	characteristic
38	C₂×#435	C₂²	1	1	yes	characteristic
39	C₂×#435	C₂²	1	1	yes	characteristic
40	C₂×#432	C₂²	1	1	yes	characteristic
41	C₂×#431	C₂²	1	1	yes	characteristic
42	C₂×#431	C₂²	1	1	yes	characteristic, complemented
43	C₂×#423	C₂²	1	1	yes	characteristic
44	C₂×#423	C₂²	1	1	yes	characteristic
45	C₂×#407	C₂²	1	1	yes	characteristic
46	C₂²×C₂²⋊C₈	C₂²	1	1	yes	characteristic
47	C₂²×#97	C₂²	1	1	yes	characteristic
48	C₂²×C₄×C₈	C₂²	1	1	yes	characteristic
49	#2374	C₄	1	1	yes	characteristic
50	#2373	C₄	1	1	yes	characteristic
51	#2373	C₄	1	1	yes	characteristic
52	#2372	C₄	1	1	yes	characteristic
53	#2368	C₄	1	1	yes	characteristic
54	#2368	C₄	1	1	yes	characteristic
55	#2359	C₄	1	1	yes	characteristic
56	#2359	C₄	1	1	yes	characteristic
57	#2358	C₄	1	1	yes	characteristic
58	#2353	C₄	1	1	yes	characteristic
59	#2353	C₄	1	1	yes	characteristic
60	#2343	C₄	1	1	yes	characteristic
61	#2343	C₄	1	1	yes	characteristic
62	#2342	C₄	1	1	yes	characteristic
63	#2342	C₄	1	1	yes	characteristic
64	C₄×#126	C₂²	1	1	yes	characteristic
65	C₄×#126	C₂²	1	1	yes	characteristic
66	C₄×#124	C₂²	1	1	yes	characteristic
67	C₄×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
68	C₄×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
69	C₄×#123	C₂²	1	1	yes	characteristic
70	C₄×#123	C₂²	1	1	yes	characteristic
71	C₄×#123	C₂²	1	1	yes	characteristic
72	C₄×#120	C₂²	1	1	yes	characteristic
73	C₄²×D₄	C₂²	1	1	yes	characteristic
74	C₄²×D₄	C₂²	1	1	yes	characteristic
75	C₄×#117	C₂²	1	1	yes	characteristic
76	C₄×#117	C₂²	1	1	yes	characteristic
77	C₂×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
78	C₂×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
79	#1984	C₂²	1	1	yes	characteristic, complemented
80	#1984	C₂²	1	1	yes	characteristic, complemented
81	#1984	C₂²	1	1	yes	characteristic, complemented
82	#1954	C₂²	1	1	yes	characteristic
83	#1940	C₂²	1	1	yes	characteristic, complemented
84	#1940	C₂²	1	1	yes	characteristic, complemented
85	#1940	C₂²	1	1	yes	characteristic, complemented
86	#1940	C₂²	1	1	yes	characteristic, complemented
87	#1940	C₂²	1	1	yes	characteristic, complemented
88	#1940	C₂²	1	1	yes	characteristic, complemented
89	#1939	C₂²	1	1	yes	characteristic, complemented
90	#1939	C₂²	1	1	yes	characteristic, complemented
91	#1924	C₂²	1	1	yes	characteristic
92	#1924	C₂²	1	1	yes	characteristic
93	#1924	C₂²	1	1	yes	characteristic
94	#1924	C₂²	1	1	yes	characteristic, complemented
95	#1924	C₂²	1	1	yes	characteristic, complemented
96	#1924	C₂²	1	1	yes	characteristic, complemented
97	#1923	C₂²	1	1	yes	characteristic
98	#1923	C₂²	1	1	yes	characteristic
99	#1923	C₂²	1	1	yes	characteristic
100	#1923	C₂²	1	1	yes	characteristic
101	#1923	C₂²	1	1	yes	characteristic
102	#1923	C₂²	1	1	yes	characteristic
103	#1923	C₂²	1	1	yes	characteristic
104	#1923	C₂²	1	1	yes	characteristic, complemented
105	#1923	C₂²	1	1	yes	characteristic, complemented
106	#1923	C₂²	1	1	yes	characteristic, complemented
107	#1917	C₂²	1	1	yes	characteristic, complemented
108	#1917	C₂²	1	1	yes	characteristic, complemented
109	#1917	C₂²	1	1	yes	characteristic, complemented
110	#1917	C₂²	1	1	yes	characteristic, complemented
111	#1916	C₂²	1	1	yes	characteristic, complemented
112	#1916	C₂²	1	1	yes	characteristic, complemented
113	#1916	C₂²	1	1	yes	characteristic, complemented
114	#1916	C₂²	1	1	yes	characteristic, complemented
115	#1916	C₂²	1	1	yes	characteristic, complemented
116	#1916	C₂²	1	1	yes	characteristic, complemented
117	#1916	C₂²	1	1	yes	characteristic, complemented
118	#1916	C₂²	1	1	yes	characteristic, complemented
119	#1916	C₂²	1	1	yes	characteristic, complemented
120	#1916	C₂²	1	1	yes	characteristic, complemented
121	#1916	C₂²	1	1	yes	characteristic, complemented
122	#1916	C₂²	1	1	yes	characteristic, complemented
123	#1870	C₂²	1	1	yes	characteristic
124	#1870	C₂²	1	1	yes	characteristic
125	#1870	C₂²	1	1	yes	characteristic
126	#1870	C₂²	1	1	yes	characteristic
127	#1869	C₂²	1	1	yes	characteristic
128	#1869	C₂²	1	1	yes	characteristic
129	#1851	C₂²	1	1	yes	characteristic
130	#1851	C₂²	1	1	yes	characteristic
131	#1851	C₂²	1	1	yes	characteristic
132	#1851	C₂²	1	1	yes	characteristic
133	#1851	C₂²	1	1	yes	characteristic
134	#1851	C₂²	1	1	yes	characteristic
135	#1851	C₂²	1	1	yes	characteristic
136	#1851	C₂²	1	1	yes	characteristic
137	#1851	C₂²	1	1	yes	characteristic
138	#1851	C₂²	1	1	yes	characteristic, complemented
139	#1851	C₂²	1	1	yes	characteristic, complemented
140	#1851	C₂²	1	1	yes	characteristic, complemented
141	#1850	C₂²	1	1	yes	characteristic
142	#1850	C₂²	1	1	yes	characteristic
143	#1850	C₂²	1	1	yes	characteristic
144	#1850	C₂²	1	1	yes	characteristic
145	#1850	C₂²	1	1	yes	characteristic
146	#1850	C₂²	1	1	yes	characteristic
147	#1850	C₂²	1	1	yes	characteristic
148	#1850	C₂²	1	1	yes	characteristic
149	#1839	C₂²	1	1	yes	characteristic, complemented
150	#1831	C₂²	1	1	yes	characteristic, complemented
151	#1831	C₂²	1	1	yes	characteristic, complemented
152	#1817	C₂²	1	1	yes	characteristic
153	#1817	C₂²	1	1	yes	characteristic
154	#1797	C₂²	1	1	yes	characteristic
155	#1797	C₂²	1	1	yes	characteristic
156	#1797	C₂²	1	1	yes	characteristic, complemented
157	#1779	C₂²	1	1	yes	characteristic
158	#1770	C₂²	1	1	yes	characteristic, complemented
159	#1770	C₂²	1	1	yes	characteristic, complemented
160	#1770	C₂²	1	1	yes	characteristic, complemented
161	C₈×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
162	C₈×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
163	C₈×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
164	C₈×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
165	C₈×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
166	#1767	C₂²	1	1	yes	characteristic, complemented
167	#1767	C₂²	1	1	yes	characteristic, complemented
168	#1767	C₂²	1	1	yes	characteristic, complemented
169	#1767	C₂²	1	1	yes	characteristic, complemented
170	#1767	C₂²	1	1	yes	characteristic, complemented
171	C₄×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
172	C₄×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
173	#1753	C₂²	1	1	yes	characteristic
174	#1753	C₂²	1	1	yes	characteristic
175	#1753	C₂²	1	1	yes	characteristic
176	#1753	C₂²	1	1	yes	characteristic
177	#1753	C₂²	1	1	yes	characteristic
178	#1753	C₂²	1	1	yes	characteristic
179	#1753	C₂²	1	1	yes	characteristic
180	#1753	C₂²	1	1	yes	characteristic
181	#1753	C₂²	1	1	yes	characteristic
182	#1753	C₂²	1	1	yes	characteristic
183	#1753	C₂²	1	1	yes	characteristic
184	#1753	C₂²	1	1	yes	characteristic
185	#1753	C₂²	1	1	yes	characteristic
186	#1753	C₂²	1	1	yes	characteristic, complemented
187	#1753	C₂²	1	1	yes	characteristic, complemented
188	#1753	C₂²	1	1	yes	characteristic, complemented
189	C₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic
190	C₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic
191	C₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic
192	C₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic
193	C₄×C₂²⋊C₈	C₂²	1	1	yes	characteristic
194	C₄×C₂²⋊C₈	C₂²	1	1	yes	characteristic
195	C₄×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
196	#1744	C₂²	1	1	yes	characteristic, complemented
197	#1744	C₂²	1	1	yes	characteristic, complemented
198	#1728	C₂²	1	1	yes	characteristic
199	#1728	C₂²	1	1	yes	characteristic
200	#1728	C₂²	1	1	yes	characteristic, complemented
201	C₂×#336	C₂²	1	1	yes	characteristic
202	C₂×#336	C₂²	1	1	yes	characteristic
203	C₂⁴×C₄	C₂³	1	1	yes	characteristic
204	C₂²×M₁₆	—	2	4	no	—
205	C₂²×M₁₆	—	4	2	no	—
206	C₂²×M₁₆	—	4	2	no	—
207	C₂²×M₁₆	C₂³	1	1	yes	characteristic
208	C₂²×M₁₆	C₂³	1	1	yes	characteristic
209	C₂²×M₁₆	C₂³	1	1	yes	characteristic
210	C₂²×M₁₆	C₂³	1	1	yes	characteristic
211	C₂²×M₁₆	C₂³	1	1	yes	characteristic
212	C₂²×M₁₆	C₂³	1	1	yes	characteristic
213	C₂²×M₁₆	C₂³	1	1	yes	characteristic
214	C₂²×M₁₆	C₂³	1	1	yes	characteristic
215	C₂³×C₈	C₂³	1	1	yes	characteristic
216	C₂³×C₈	C₂³	1	1	yes	characteristic
217	C₂³×C₈	C₂³	1	1	yes	characteristic
218	C₂³×C₈	C₂³	1	1	yes	characteristic
219	#551	—	2	8	no	—
220	C₂×#126	C₂×C₄	1	1	yes	characteristic
221	C₂×#126	C₂×C₄	1	1	yes	characteristic
222	C₂×#124	C₂×C₄	1	1	yes	characteristic
223	C₂×#123	C₂×C₄	1	1	yes	characteristic
224	C₂×#123	C₂×C₄	1	1	yes	characteristic
225	C₂×#123	C₂×C₄	1	1	yes	characteristic
226	C₂×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
227	C₂×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
228	C₂×#120	C₂×C₄	1	1	yes	characteristic
229	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
230	C₂×C₄×D₄	C₂×C₄	1	1	yes	characteristic
231	C₂×C₄×D₄	C₂×C₄	1	1	yes	characteristic
232	C₂×C₄×D₄	C₂×C₄	1	1	yes	characteristic
233	C₂×C₄×D₄	C₂×C₄	1	1	yes	characteristic
234	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
235	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
236	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
237	C₂×#117	C₂×C₄	1	1	yes	characteristic
238	C₂×#117	C₂×C₄	1	1	yes	characteristic
239	C₂×#117	C₂×C₄	1	1	yes	characteristic
240	C₂×#117	C₂×C₄	1	1	yes	characteristic
241	C₂²×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
242	C₂²×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
243	C₂²×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
244	C₂²×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
245	C₂²×C₄²	C₂³	1	1	yes	characteristic
246	C₂²×C₄²	C₂³	1	1	yes	characteristic
247	C₂²×C₄²	C₂³	1	1	yes	characteristic
248	C₂²×C₄²	C₂³	1	1	yes	characteristic
249	C₂²×C₄²	C₂³	1	1	yes	characteristic
250	C₈×Q₈	—	4	2	no	—
251	#436	—	2	4	no	—
252	#436	—	2	4	no	—
253	#436	—	4	2	no	—
254	#435	—	4	2	no	—
255	#435	—	4	2	no	—
256	#432	—	4	2	no	—
257	#431	—	2	4	no	—
258	#431	—	4	2	no	—
259	#423	—	2	4	no	—
260	#423	—	4	2	no	—
261	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
262	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
263	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
264	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
265	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
266	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
267	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
268	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
269	C₂×C₄⋊C₈	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×C₄⋊C₈	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×C₄⋊C₈	C₂³	1	1	yes	characteristic
280	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
281	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
282	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
283	#407	—	4	2	no	—
284	C₂×C₂²⋊C₈	—	2	4	no	—
285	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
286	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
287	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
288	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
289	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
290	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
291	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
292	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
293	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
294	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
295	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
296	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
297	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
298	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
299	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
300	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
301	C₂×C₂²⋊C₈	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×#97	—	4	2	no	—
306	C₂×#97	C₂³	1	1	yes	characteristic
307	C₂×#97	C₂³	1	1	yes	characteristic
308	C₂×#97	C₂³	1	1	yes	characteristic
309	C₂×#97	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	—	4	2	no	—
315	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
316	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
317	C₂×C₄×C₈	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	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
323	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
324	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
325	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
326	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
327	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
328	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
329	#391	C₂×C₄	1	1	yes	characteristic
330	#391	C₂×C₄	1	1	yes	characteristic
331	#391	C₂×C₄	1	1	yes	characteristic
332	#390	C₂×C₄	1	1	yes	characteristic
333	#389	C₂×C₄	1	1	yes	characteristic
334	#389	C₂×C₄	1	1	yes	characteristic
335	#388	C₂×C₄	1	1	yes	characteristic
336	#388	C₂×C₄	1	1	yes	characteristic
337	#388	C₂×C₄	1	1	yes	characteristic
338	#388	C₂×C₄	1	1	yes	characteristic
339	#388	C₂×C₄	1	1	yes	characteristic
340	#388	C₂×C₄	1	1	yes	characteristic
341	#388	C₂×C₄	1	1	yes	characteristic
342	#388	C₂×C₄	1	1	yes	characteristic
343	#388	C₂×C₄	1	1	yes	characteristic
344	#388	C₂×C₄	1	1	yes	characteristic
345	#388	C₂×C₄	1	1	yes	characteristic
346	#388	C₂×C₄	1	1	yes	characteristic
347	#388	C₂×C₄	1	1	yes	characteristic
348	#388	C₂×C₄	1	1	yes	characteristic
349	#388	C₂×C₄	1	1	yes	characteristic
350	#388	C₂×C₄	1	1	yes	characteristic
351	#387	C₂×C₄	1	1	yes	characteristic
352	#387	C₂×C₄	1	1	yes	characteristic
353	#387	C₂×C₄	1	1	yes	characteristic
354	#387	C₂×C₄	1	1	yes	characteristic
355	#387	C₂×C₄	1	1	yes	characteristic
356	#387	C₂×C₄	1	1	yes	characteristic
357	#387	C₂×C₄	1	1	yes	characteristic
358	#387	C₂×C₄	1	1	yes	characteristic
359	#387	C₂×C₄	1	1	yes	characteristic
360	#387	C₂×C₄	1	1	yes	characteristic
361	#387	C₂×C₄	1	1	yes	characteristic
362	#387	C₂×C₄	1	1	yes	characteristic
363	#387	C₂×C₄	1	1	yes	characteristic
364	#387	C₂×C₄	1	1	yes	characteristic
365	#387	C₂×C₄	1	1	yes	characteristic
366	#387	C₂×C₄	1	1	yes	characteristic
367	#386	C₂×C₄	1	1	yes	characteristic
368	#386	C₂×C₄	1	1	yes	characteristic
369	#386	C₂×C₄	1	1	yes	characteristic
370	#386	C₂×C₄	1	1	yes	characteristic
371	#386	C₂×C₄	1	1	yes	characteristic
372	#386	C₂×C₄	1	1	yes	characteristic
373	#385	C₂×C₄	1	1	yes	characteristic
374	#385	C₂×C₄	1	1	yes	characteristic
375	#385	C₂×C₄	1	1	yes	characteristic
376	#385	C₂×C₄	1	1	yes	characteristic
377	#385	C₂×C₄	1	1	yes	characteristic
378	#385	C₂×C₄	1	1	yes	characteristic
379	#385	C₂×C₄	1	1	yes	characteristic
380	#385	C₂×C₄	1	1	yes	characteristic
381	#385	C₂×C₄	1	1	yes	characteristic
382	#385	C₂×C₄	1	1	yes	characteristic
383	#383	C₂×C₄	1	1	yes	characteristic
384	#383	C₂×C₄	1	1	yes	characteristic
385	#382	C₂×C₄	1	1	yes	characteristic
386	#381	C₂×C₄	1	1	yes	characteristic
387	#381	C₂×C₄	1	1	yes	characteristic
388	#381	C₂×C₄	1	1	yes	characteristic
389	#380	C₂×C₄	1	1	yes	characteristic
390	#380	C₂×C₄	1	1	yes	characteristic
391	#379	C₂×C₄	1	1	yes	characteristic
392	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
393	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
394	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
395	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
396	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
397	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
398	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
399	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
400	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
401	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
402	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
403	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
404	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
405	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
406	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
407	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
408	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
409	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
410	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
411	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
412	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
413	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
414	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
415	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
416	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
417	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
418	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
419	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
420	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
421	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
422	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
423	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
424	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
425	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
426	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
427	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
428	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
429	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
430	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
431	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
432	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
433	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
434	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
435	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
436	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
437	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
438	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
439	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
440	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
441	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
442	#376	C₂×C₄	1	1	yes	characteristic
443	#376	C₂×C₄	1	1	yes	characteristic
444	#376	C₂×C₄	1	1	yes	characteristic
445	#376	C₂×C₄	1	1	yes	characteristic
446	C₂×#95	C₂×C₄	1	1	yes	characteristic
447	C₂×#95	C₂×C₄	1	1	yes	characteristic
448	C₂×#95	C₂×C₄	1	1	yes	characteristic
449	C₂×#95	C₂×C₄	1	1	yes	characteristic
450	C₄³	C₂³	1	1	yes	characteristic
451	C₄³	C₂³	1	1	yes	characteristic
452	C₄³	C₂³	1	1	yes	characteristic
453	#336	C₂³	1	1	yes	characteristic
454	#336	C₂³	1	1	yes	characteristic
455	#336	C₂³	1	1	yes	characteristic
456	#336	C₂³	1	1	yes	characteristic
457	#336	C₂³	1	1	yes	characteristic
458	#336	C₂³	1	1	yes	characteristic
459	#336	C₂³	1	1	yes	characteristic
460	#336	C₂³	1	1	yes	characteristic
461	#336	C₂³	1	1	yes	characteristic
462	#336	C₂³	1	1	yes	characteristic
463	#336	C₂³	1	1	yes	characteristic
464	#336	C₂³	1	1	yes	characteristic
465	#336	C₂³	1	1	yes	characteristic
466	#336	C₂³	1	1	yes	characteristic
467	#336	C₂³	1	1	yes	characteristic
468	#336	C₂³	1	1	yes	characteristic
469	#336	C₂³	1	1	yes	characteristic
470	#336	C₂³	1	1	yes	characteristic
471	#336	C₂³	1	1	yes	characteristic
472	#336	C₂³	1	1	yes	characteristic
473	#336	C₂³	1	1	yes	characteristic
474	#336	C₂³	1	1	yes	characteristic
475	#336	C₂³	1	1	yes	characteristic
476	#336	C₂³	1	1	yes	characteristic
477	#336	C₂³	1	1	yes	characteristic
478	#336	C₂³	1	1	yes	characteristic
479	#336	C₂³	1	1	yes	characteristic
480	#336	C₂³	1	1	yes	characteristic
481	#336	C₂³	1	1	yes	characteristic
482	#336	C₂³	1	1	yes	characteristic
483	#336	C₂³	1	1	yes	characteristic
484	#336	C₂³	1	1	yes	characteristic
485	#336	C₂³	1	1	yes	characteristic
486	#336	C₂³	1	1	yes	characteristic
487	#336	C₂³	1	1	yes	characteristic
488	#336	C₂³	1	1	yes	characteristic
489	#336	C₂³	1	1	yes	characteristic
490	#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	#336	C₂³	1	1	yes	characteristic
497	C₂⁵	C₂²×C₄	1	1	yes	characteristic
498	C₂²×Q₈	C₂²×C₄	1	1	yes	characteristic
499	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
500	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
501	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
502	C₂³×C₄	—	2	2	no	—
503	C₂³×C₄	—	2	2	no	—
504	C₂³×C₄	—	2	2	no	—
505	C₂³×C₄	—	2	2	no	—
506	C₂³×C₄	—	4	1	no	—
507	C₂³×C₄	—	4	1	no	—
508	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
509	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
510	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
511	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
512	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
513	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
514	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
515	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
516	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
517	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
518	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
519	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
520	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
521	C₂³×C₄	C₂⁴	1	1	yes	characteristic
522	C₂³×C₄	C₂⁴	1	1	yes	characteristic
523	C₂³×C₄	C₂⁴	1	1	yes	characteristic
524	C₂³×C₄	C₂⁴	1	1	yes	characteristic
525	C₂×M₁₆	—	2	2	no	—
526	C₂×M₁₆	—	2	2	no	—
527	C₂×M₁₆	—	2	2	no	—
528	C₂×M₁₆	—	2	2	no	—
529	C₂×M₁₆	—	2	2	no	—
530	C₂×M₁₆	—	2	2	no	—
531	C₂×M₁₆	—	2	2	no	—
532	C₂×M₁₆	—	2	2	no	—
533	C₂×M₁₆	—	2	2	no	—
534	C₂×M₁₆	—	4	1	no	—
535	C₂×M₁₆	—	4	1	no	—
536	C₂×M₁₆	—	4	1	no	—
537	C₂×M₁₆	—	4	1	no	—
538	C₂×M₁₆	—	4	1	no	—
539	C₂×M₁₆	—	4	1	no	—
540	C₂×M₁₆	—	4	1	no	—
541	C₂×M₁₆	—	4	1	no	—
542	C₂×M₁₆	—	4	1	no	—
543	C₂×M₁₆	—	4	1	no	—
544	C₂×M₁₆	—	4	1	no	—
545	C₂×M₁₆	—	4	1	no	—
546	C₂×M₁₆	—	4	1	no	—
547	C₂×M₁₆	—	4	1	no	—
548	C₂×M₁₆	—	4	16	no	—
549	C₂×M₁₆	#41	1	4	yes	—
550	C₂²×C₈	—	2	2	no	—
551	C₂²×C₈	—	2	2	no	—
552	C₂²×C₈	—	2	2	no	—
553	C₂²×C₈	—	2	2	no	—
554	C₂²×C₈	—	2	2	no	—
555	C₂²×C₈	—	2	2	no	—
556	C₂²×C₈	—	2	2	no	—
557	C₂²×C₈	—	2	2	no	—
558	C₂²×C₈	—	2	2	no	—
559	C₂²×C₈	—	4	1	no	—
560	C₂²×C₈	—	4	1	no	—
561	C₂²×C₈	—	4	1	no	—
562	C₂²×C₈	C₂⁴	1	1	yes	characteristic
563	C₂²×C₈	C₂⁴	1	1	yes	characteristic
564	C₂²×C₈	C₂⁴	1	1	yes	characteristic
565	C₂²×C₈	C₂⁴	1	1	yes	characteristic
566	C₂²×C₈	C₂⁴	1	1	yes	characteristic
567	C₂²×C₈	C₂⁴	1	1	yes	characteristic
568	C₂²×C₈	C₂⁴	1	1	yes	characteristic
569	C₂²×C₈	C₂⁴	1	1	yes	characteristic
570	C₂²×C₈	C₂⁴	1	1	yes	characteristic
571	C₂²×C₈	C₂⁴	1	1	yes	characteristic
572	C₂²×C₈	C₂⁴	1	1	yes	characteristic
573	C₂²×C₈	C₂⁴	1	1	yes	characteristic
574	C₂²×C₈	C₂⁴	1	1	yes	characteristic
575	C₂²×C₈	C₂⁴	1	1	yes	characteristic
576	C₂²×C₈	C₂⁴	1	1	yes	characteristic
577	C₂²×C₈	C₂⁴	1	1	yes	characteristic
578	#126	—	2	4	no	—
579	#126	—	2	4	no	—
580	#124	—	2	4	no	—
581	#123	—	2	4	no	—
582	#123	—	2	4	no	—
583	#123	—	2	4	no	—
584	C₂²⋊Q₈	—	2	4	no	—
585	C₂²⋊Q₈	M₁₆	1	8	yes	complemented
586	#120	—	2	4	no	—
587	C₄×Q₈	—	4	1	no	—
588	C₄×Q₈	—	4	1	no	—
589	C₄×D₄	—	2	4	no	—
590	C₄×D₄	—	2	2	no	—
591	C₄×D₄	—	2	2	no	—
592	C₄×D₄	—	2	2	no	—
593	C₄×D₄	—	2	2	no	—
594	C₄×D₄	—	2	4	no	—
595	C₄×D₄	—	2	4	no	—
596	C₄×D₄	—	4	1	no	—
597	C₄×D₄	—	4	1	no	—
598	C₄×D₄	—	4	2	no	—
599	#117	—	2	4	no	—
600	#117	—	2	4	no	—
601	#117	—	2	4	no	—
602	#117	—	4	2	no	—
603	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
604	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
605	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
606	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
607	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
608	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
609	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
610	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
611	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
612	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
613	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
614	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
615	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
616	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
617	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
618	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
619	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
620	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
621	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
622	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
623	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
624	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
625	C₂×C₂²⋊C₄	—	2	4	no	—
626	C₂×C₂²⋊C₄	—	2	4	no	—
627	C₂×C₂²⋊C₄	—	2	4	no	—
628	C₂×C₂²⋊C₄	—	4	2	no	—
629	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
630	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
631	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
632	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
633	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
634	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
635	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
636	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
637	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
638	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
639	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
640	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
641	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
642	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
643	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
644	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
645	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
646	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
647	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
648	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
649	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
650	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
651	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
652	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
653	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
654	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
655	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
656	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
657	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
658	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
659	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
660	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
661	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
662	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
663	C₂×C₄²	—	2	2	no	—
664	C₂×C₄²	—	2	2	no	—
665	C₂×C₄²	—	2	2	no	—
666	C₂×C₄²	—	2	2	no	—
667	C₂×C₄²	—	4	1	no	—
668	C₂×C₄²	—	4	1	no	—
669	C₂×C₄²	—	4	1	no	—
670	C₂×C₄²	—	4	1	no	—
671	C₂×C₄²	—	4	1	no	—
672	C₂×C₄²	—	4	1	no	—
673	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
674	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
675	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
676	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
677	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
678	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
679	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
680	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
681	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
682	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
683	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
684	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
685	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
686	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
687	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
688	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
689	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
690	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
691	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
692	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
693	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
694	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
695	C₂×C₄²	C₂⁴	1	1	yes	characteristic
696	C₂×C₄²	C₂⁴	1	1	yes	characteristic
697	C₂×C₄²	C₂⁴	1	1	yes	characteristic
698	C₂×C₄²	C₂⁴	1	1	yes	characteristic
699	C₂×C₄²	C₂⁴	1	1	yes	characteristic
700	C₂×C₄²	C₂⁴	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	C₂×C₄²	C₂⁴	1	1	yes	characteristic
706	C₄⋊C₈	—	2	2	no	—
707	C₄⋊C₈	—	2	2	no	—
708	C₄⋊C₈	—	2	2	no	—
709	C₄⋊C₈	—	2	2	no	—
710	C₄⋊C₈	—	2	2	no	—
711	C₄⋊C₈	—	2	2	no	—
712	C₄⋊C₈	—	2	2	no	—
713	C₄⋊C₈	—	2	2	no	—
714	C₄⋊C₈	—	2	2	no	—
715	C₄⋊C₈	—	2	2	no	—
716	C₄⋊C₈	—	2	2	no	—
717	C₄⋊C₈	—	4	1	no	—
718	C₄⋊C₈	—	4	1	no	—
719	C₄⋊C₈	—	4	1	no	—
720	C₄⋊C₈	—	4	1	no	—
721	C₄⋊C₈	—	4	1	no	—
722	C₄⋊C₈	—	4	1	no	—
723	C₄⋊C₈	—	4	1	no	—
724	C₄⋊C₈	—	4	1	no	—
725	C₄⋊C₈	—	4	1	no	—
726	C₄⋊C₈	—	4	1	no	—
727	C₄⋊C₈	—	4	1	no	—
728	C₂²⋊C₈	—	2	2	no	—
729	C₂²⋊C₈	—	2	2	no	—
730	C₂²⋊C₈	—	2	2	no	—
731	C₂²⋊C₈	—	2	2	no	—
732	C₂²⋊C₈	—	2	2	no	—
733	C₂²⋊C₈	—	2	2	no	—
734	C₂²⋊C₈	—	2	2	no	—
735	C₂²⋊C₈	—	2	2	no	—
736	C₂²⋊C₈	—	2	2	no	—
737	C₂²⋊C₈	—	2	2	no	—
738	C₂²⋊C₈	—	2	2	no	—
739	C₂²⋊C₈	—	2	2	no	—
740	C₂²⋊C₈	—	4	1	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	C₂²⋊C₈	#41	1	4	yes	—
748	#97	—	4	1	no	—
749	#97	—	4	1	no	—
750	#97	—	4	1	no	—
751	#97	—	4	1	no	—
752	#97	—	4	1	no	—
753	#97	—	4	1	no	—
754	#97	—	4	1	no	—
755	#97	—	4	1	no	—
756	C₄×C₈	—	2	2	no	—
757	C₄×C₈	—	2	2	no	—
758	C₄×C₈	—	2	2	no	—
759	C₄×C₈	—	2	2	no	—
760	C₄×C₈	—	2	2	no	—
761	C₄×C₈	—	2	2	no	—
762	C₄×C₈	—	4	1	no	—
763	C₄×C₈	—	4	1	no	—
764	C₄×C₈	—	4	1	no	—
765	C₄×C₈	—	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	C₂²×C₄	1	1	yes	characteristic
771	#95	C₂²×C₄	1	1	yes	characteristic
772	#95	C₂²×C₄	1	1	yes	characteristic
773	#95	C₂²×C₄	1	1	yes	characteristic
774	#95	C₂²×C₄	1	1	yes	characteristic
775	#95	C₂²×C₄	1	1	yes	characteristic
776	#95	C₂²×C₄	1	1	yes	characteristic
777	#95	C₂²×C₄	1	1	yes	characteristic
778	#95	C₂²×C₄	1	1	yes	characteristic
779	#95	C₂²×C₄	1	1	yes	characteristic
780	#95	C₂²×C₄	1	1	yes	characteristic
781	#95	C₂²×C₄	1	1	yes	characteristic
782	#95	C₂²×C₄	1	1	yes	characteristic
783	#95	C₂²×C₄	1	1	yes	characteristic
784	#95	C₂²×C₄	1	1	yes	characteristic
785	#95	C₂²×C₄	1	1	yes	characteristic
786	#95	C₂²×C₄	1	1	yes	characteristic
787	#95	C₂²×C₄	1	1	yes	characteristic
788	#95	C₂²×C₄	1	1	yes	characteristic
789	#95	C₂²×C₄	1	1	yes	characteristic
790	#95	C₂²×C₄	1	1	yes	characteristic
791	#95	C₂²×C₄	1	1	yes	characteristic
792	#95	C₂²×C₄	1	1	yes	characteristic
793	#95	C₂²×C₄	1	1	yes	characteristic
794	#95	C₂²×C₄	1	1	yes	characteristic
795	#95	C₂²×C₄	1	1	yes	characteristic
796	#95	C₂²×C₄	1	1	yes	characteristic
797	#95	C₂²×C₄	1	1	yes	characteristic
798	#95	C₂²×C₄	1	1	yes	characteristic
799	#95	C₂²×C₄	1	1	yes	characteristic
800	#95	C₂²×C₄	1	1	yes	characteristic
801	#95	C₂²×C₄	1	1	yes	characteristic
802	#95	C₂²×C₄	1	1	yes	characteristic
803	#95	C₂²×C₄	1	1	yes	characteristic
804	#95	C₂²×C₄	1	1	yes	characteristic
805	#95	C₂²×C₄	1	1	yes	characteristic
806	#95	C₂²×C₄	1	1	yes	characteristic
807	#95	C₂²×C₄	1	1	yes	characteristic
808	#95	C₂²×C₄	1	1	yes	characteristic
809	#95	C₂²×C₄	1	1	yes	characteristic
810	#95	C₂²×C₄	1	1	yes	characteristic
811	#95	C₂²×C₄	1	1	yes	characteristic
812	#95	C₂²×C₄	1	1	yes	characteristic
813	#95	C₂²×C₄	1	1	yes	characteristic
814	C₂⁴	—	2	2	no	—
815	C₂⁴	—	2	2	no	—
816	C₂⁴	—	2	2	no	—
817	C₂⁴	—	2	2	no	—
818	C₂⁴	—	4	1	no	—
819	C₂⁴	—	4	1	no	—
820	C₂⁴	—	4	1	no	—
821	C₂⁴	C₂³×C₄	1	1	yes	characteristic
822	C₂⁴	C₂³×C₄	1	1	yes	characteristic
823	C₂⁴	C₂³×C₄	1	1	yes	characteristic
824	C₂⁴	C₂³×C₄	1	1	yes	characteristic
825	C₂×Q₈	—	4	1	no	—
826	C₂×Q₈	—	4	1	no	—
827	C₂×Q₈	C₂×M₁₆	1	4	yes	complemented
828	C₂×D₄	—	2	2	no	—
829	C₂×D₄	—	2	2	no	—
830	C₂×D₄	—	2	2	no	—
831	C₂×D₄	—	2	2	no	—
832	C₂×D₄	—	2	2	no	—
833	C₂×D₄	—	2	2	no	—
834	C₂×D₄	—	4	1	no	—
835	C₂×D₄	—	4	1	no	—
836	C₂×D₄	—	4	1	no	—
837	C₂²×C₄	—	2	1	no	—
838	C₂²×C₄	—	2	1	no	—
839	C₂²×C₄	—	2	1	no	—
840	C₂²×C₄	—	2	1	no	—
841	C₂²×C₄	—	2	1	no	—
842	C₂²×C₄	—	2	1	no	—
843	C₂²×C₄	—	2	1	no	—
844	C₂²×C₄	—	2	1	no	—
845	C₂²×C₄	—	2	2	no	—
846	C₂²×C₄	—	2	2	no	—
847	C₂²×C₄	—	2	2	no	—
848	C₂²×C₄	—	2	2	no	—
849	C₂²×C₄	—	2	2	no	—
850	C₂²×C₄	—	2	2	no	—
851	C₂²×C₄	—	2	2	no	—
852	C₂²×C₄	—	2	2	no	—
853	C₂²×C₄	—	2	2	no	—
854	C₂²×C₄	—	2	2	no	—
855	C₂²×C₄	—	2	2	no	—
856	C₂²×C₄	—	2	2	no	—
857	C₂²×C₄	—	2	2	no	—
858	C₂²×C₄	—	2	2	no	—
859	C₂²×C₄	—	2	2	no	—
860	C₂²×C₄	—	2	2	no	—
861	C₂²×C₄	—	2	2	no	—
862	C₂²×C₄	—	2	2	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	1	no	—
872	C₂²×C₄	—	2	1	no	—
873	C₂²×C₄	—	2	1	no	—
874	C₂²×C₄	—	2	1	no	—
875	C₂²×C₄	—	2	2	no	—
876	C₂²×C₄	—	2	2	no	—
877	C₂²×C₄	—	2	2	no	—
878	C₂²×C₄	—	4	1	no	—
879	C₂²×C₄	—	4	1	no	—
880	C₂²×C₄	—	4	1	no	—
881	C₂²×C₄	—	4	1	no	—
882	C₂²×C₄	—	4	1	no	—
883	C₂²×C₄	—	4	1	no	—
884	C₂²×C₄	—	4	1	no	—
885	C₂²×C₄	—	4	1	no	—
886	C₂²×C₄	—	4	1	no	—
887	C₂²×C₄	—	4	4	no	—
888	C₂²×C₄	—	4	4	no	—
889	C₂²×C₄	—	4	4	no	—
890	C₂²×C₄	—	4	4	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	C₂×M₁₆	1	4	yes	—
900	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
901	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
902	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
903	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
904	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
905	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
906	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
907	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
908	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
909	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
910	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
911	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
912	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
913	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
914	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
915	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
916	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
917	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
918	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
919	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
920	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
921	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
922	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
923	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
924	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
925	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
926	C₂²×C₄	C₂×#41	1	2	yes	—
927	C₂²×C₄	C₂×#41	1	2	yes	—
928	C₂²×C₄	H(5,𝔽₂)	1	2	yes	—
929	C₂²×C₄	2₋¹⁺⁴	1	2	yes	—
930	C₂²×C₄	C₂⁵	1	1	yes	characteristic
931	M₁₆	—	4	4	no	—
932	M₁₆	—	4	4	no	—
933	M₁₆	—	4	4	no	—
934	M₁₆	—	4	4	no	—
935	M₁₆	—	8	2	no	—
936	M₁₆	—	8	2	no	—
937	M₁₆	—	8	2	no	—
938	M₁₆	—	8	2	no	—
939	C₂×C₈	—	2	8	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	—	2	1	no	—
956	C₂×C₈	—	2	1	no	—
957	C₂×C₈	—	2	1	no	—
958	C₂×C₈	—	2	1	no	—
959	C₂×C₈	—	2	1	no	—
960	C₂×C₈	—	2	1	no	—
961	C₂×C₈	—	2	1	no	—
962	C₂×C₈	—	2	1	no	—
963	C₂×C₈	—	2	1	no	—
964	C₂×C₈	—	2	1	no	—
965	C₂×C₈	—	2	1	no	—
966	C₂×C₈	—	2	1	no	—
967	C₂×C₈	—	2	1	no	—
968	C₂×C₈	—	2	1	no	—
969	C₂×C₈	—	2	1	no	—
970	C₂×C₈	—	2	1	no	—
971	C₂×C₈	—	2	1	no	—
972	C₂×C₈	—	2	1	no	—
973	C₂×C₈	—	2	1	no	—
974	C₂×C₈	—	2	1	no	—
975	C₂×C₈	—	2	1	no	—
976	C₂×C₈	—	2	1	no	—
977	C₂×C₈	—	2	1	no	—
978	C₂×C₈	—	2	1	no	—
979	C₂×C₈	—	2	1	no	—
980	C₂×C₈	—	2	1	no	—
981	C₂×C₈	—	2	1	no	—
982	C₂×C₈	—	2	1	no	—
983	C₂×C₈	—	4	4	no	—
984	C₂×C₈	—	4	4	no	—
985	C₂×C₈	—	4	4	no	—
986	C₂×C₈	C₂×#41	1	2	yes	—
987	C₂×C₈	C₂×#41	1	2	yes	—
988	C₂×C₈	C₂×#41	1	2	yes	—
989	C₂×C₈	C₂×#41	1	2	yes	—
990	C₂×C₈	H(5,𝔽₂)	1	2	yes	—
991	C₄⋊C₄	—	2	2	no	—
992	C₄⋊C₄	—	2	2	no	—
993	C₄⋊C₄	—	2	2	no	—
994	C₄⋊C₄	—	2	2	no	—
995	C₄⋊C₄	—	2	2	no	—
996	C₄⋊C₄	—	2	2	no	—
997	C₄⋊C₄	—	2	2	no	—
998	C₄⋊C₄	—	2	2	no	—
999	C₄⋊C₄	—	2	2	no	—
1000	C₄⋊C₄	—	2	2	no	—
1001	C₄⋊C₄	—	2	2	no	—
1002	C₄⋊C₄	—	2	2	no	—
1003	C₄⋊C₄	—	4	1	no	—
1004	C₄⋊C₄	—	4	1	no	—
1005	C₄⋊C₄	—	4	1	no	—
1006	C₄⋊C₄	—	4	1	no	—
1007	C₄⋊C₄	—	4	1	no	—
1008	C₄⋊C₄	—	4	1	no	—
1009	C₄⋊C₄	—	4	1	no	—
1010	C₄⋊C₄	C₂×M₁₆	1	4	yes	complemented
1011	C₄⋊C₄	C₂×M₁₆	1	4	yes	complemented
1012	C₄⋊C₄	C₂×M₁₆	1	4	yes	complemented
1013	C₂²⋊C₄	—	2	2	no	—
1014	C₂²⋊C₄	—	2	2	no	—
1015	C₂²⋊C₄	—	2	2	no	—
1016	C₂²⋊C₄	—	2	2	no	—
1017	C₂²⋊C₄	—	2	2	no	—
1018	C₂²⋊C₄	—	2	2	no	—
1019	C₂²⋊C₄	—	2	2	no	—
1020	C₂²⋊C₄	—	2	2	no	—
1021	C₂²⋊C₄	—	2	2	no	—
1022	C₂²⋊C₄	—	2	2	no	—
1023	C₂²⋊C₄	—	2	2	no	—
1024	C₂²⋊C₄	—	2	2	no	—
1025	C₂²⋊C₄	—	2	2	no	—
1026	C₂²⋊C₄	—	2	2	no	—
1027	C₂²⋊C₄	—	2	2	no	—
1028	C₂²⋊C₄	—	2	2	no	—
1029	C₂²⋊C₄	—	2	2	no	—
1030	C₂²⋊C₄	—	2	2	no	—
1031	C₂²⋊C₄	—	2	2	no	—
1032	C₂²⋊C₄	—	2	2	no	—
1033	C₂²⋊C₄	—	2	2	no	—
1034	C₂²⋊C₄	—	2	2	no	—
1035	C₂²⋊C₄	—	2	2	no	—
1036	C₂²⋊C₄	—	4	1	no	—
1037	C₂²⋊C₄	—	4	1	no	—
1038	C₂²⋊C₄	—	4	1	no	—
1039	C₂²⋊C₄	—	4	1	no	—
1040	C₂²⋊C₄	—	4	1	no	—
1041	C₂²⋊C₄	—	4	1	no	—
1042	C₂²⋊C₄	—	4	1	no	—
1043	C₂²⋊C₄	—	4	1	no	—
1044	C₂²⋊C₄	C₂×M₁₆	1	4	yes	—
1045	C₂²⋊C₄	C₂×M₁₆	1	4	yes	—
1046	C₂²⋊C₄	#131	1	4	yes	—
1047	C₄²	—	2	2	no	—
1048	C₄²	—	2	2	no	—
1049	C₄²	—	2	2	no	—
1050	C₄²	—	2	2	no	—
1051	C₄²	—	2	2	no	—
1052	C₄²	—	2	2	no	—
1053	C₄²	—	2	2	no	—
1054	C₄²	—	2	2	no	—
1055	C₄²	—	2	2	no	—
1056	C₄²	—	2	2	no	—
1057	C₄²	—	2	2	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	—	2	1	no	—
1069	C₄²	—	2	1	no	—
1070	C₄²	—	2	1	no	—
1071	C₄²	—	2	1	no	—
1072	C₄²	—	2	1	no	—
1073	C₄²	—	2	1	no	—
1074	C₄²	—	2	1	no	—
1075	C₄²	—	2	1	no	—
1076	C₄²	—	2	1	no	—
1077	C₄²	—	2	1	no	—
1078	C₄²	—	2	1	no	—
1079	C₄²	—	2	1	no	—
1080	C₄²	—	4	1	no	—
1081	C₄²	—	4	1	no	—
1082	C₄²	—	4	1	no	—
1083	C₄²	—	4	1	no	—
1084	C₄²	—	4	1	no	—
1085	C₄²	—	4	1	no	—
1086	C₄²	—	4	1	no	—
1087	C₄²	—	4	1	no	—
1088	C₄²	—	4	1	no	—
1089	C₄²	—	4	1	no	—
1090	C₄²	—	4	1	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	—	2	1	no	—
1097	C₂³	—	2	1	no	—
1098	C₂³	—	2	1	no	—
1099	C₂³	—	2	1	no	—
1100	C₂³	—	2	1	no	—
1101	C₂³	—	2	1	no	—
1102	C₂³	—	2	1	no	—
1103	C₂³	—	2	1	no	—
1104	C₂³	—	2	1	no	—
1105	C₂³	—	2	1	no	—
1106	C₂³	—	2	1	no	—
1107	C₂³	—	2	1	no	—
1108	C₂³	—	2	1	no	—
1109	C₂³	—	2	1	no	—
1110	C₂³	—	2	1	no	—
1111	C₂³	—	2	1	no	—
1112	C₂³	—	2	1	no	—
1113	C₂³	—	2	1	no	—
1114	C₂³	—	2	1	no	—
1115	C₂³	—	4	4	no	—
1116	C₂³	—	4	4	no	—
1117	C₂³	—	4	4	no	—
1118	C₂³	—	4	4	no	—
1119	C₂³	—	8	2	no	—
1120	C₂³	—	8	2	no	—
1121	C₂³	—	8	2	no	—
1122	C₂³	C₄×#41	1	2	yes	—
1123	C₂³	#520	1	2	yes	—
1124	C₂³	C₂²×M₁₆	1	2	yes	—
1125	C₂³	C₂×#131	1	2	yes	—
1126	C₂³	C₂⁴×C₄	1	1	yes	characteristic
1127	Q₈	—	4	4	no	—
1128	D₄	—	4	4	no	—
1129	D₄	—	4	4	no	—
1130	D₄	—	8	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	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	2	no	—
1154	C₂×C₄	—	2	2	no	—
1155	C₂×C₄	—	2	2	no	—
1156	C₂×C₄	—	2	2	no	—
1157	C₂×C₄	—	2	2	no	—
1158	C₂×C₄	—	2	2	no	—
1159	C₂×C₄	—	2	2	no	—
1160	C₂×C₄	—	2	2	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	1	no	—
1169	C₂×C₄	—	2	1	no	—
1170	C₂×C₄	—	2	1	no	—
1171	C₂×C₄	—	2	1	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	—	2	1	no	—
1181	C₂×C₄	—	2	1	no	—
1182	C₂×C₄	—	2	1	no	—
1183	C₂×C₄	—	2	1	no	—
1184	C₂×C₄	—	2	1	no	—
1185	C₂×C₄	—	2	1	no	—
1186	C₂×C₄	—	2	1	no	—
1187	C₂×C₄	—	2	1	no	—
1188	C₂×C₄	—	2	1	no	—
1189	C₂×C₄	—	2	1	no	—
1190	C₂×C₄	—	2	1	no	—
1191	C₂×C₄	—	2	1	no	—
1192	C₂×C₄	—	2	1	no	—
1193	C₂×C₄	—	2	1	no	—
1194	C₂×C₄	—	2	1	no	—
1195	C₂×C₄	—	2	1	no	—
1196	C₂×C₄	—	2	1	no	—
1197	C₂×C₄	—	2	1	no	—
1198	C₂×C₄	—	2	1	no	—
1199	C₂×C₄	—	2	1	no	—
1200	C₂×C₄	—	2	1	no	—
1201	C₂×C₄	—	2	1	no	—
1202	C₂×C₄	—	2	1	no	—
1203	C₂×C₄	—	2	1	no	—
1204	C₂×C₄	—	2	1	no	—
1205	C₂×C₄	—	2	1	no	—
1206	C₂×C₄	—	4	4	no	—
1207	C₂×C₄	—	4	4	no	—
1208	C₂×C₄	—	4	4	no	—
1209	C₂×C₄	—	4	4	no	—
1210	C₂×C₄	—	4	4	no	—
1211	C₂×C₄	—	4	4	no	—
1212	C₂×C₄	—	4	4	no	—
1213	C₂×C₄	—	4	4	no	—
1214	C₂×C₄	—	4	4	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	—	8	2	no	—
1224	C₂×C₄	—	8	2	no	—
1225	C₂×C₄	—	8	2	no	—
1226	C₂×C₄	—	8	2	no	—
1227	C₂×C₄	C₄×#41	1	2	yes	—
1228	C₂×C₄	#520	1	2	yes	—
1229	C₂×C₄	C₂²×M₁₆	1	2	yes	—
1230	C₂×C₄	C₂²×M₁₆	1	2	yes	—
1231	C₂×C₄	C₂²×M₁₆	1	2	yes	—
1232	C₂×C₄	C₂²×M₁₆	1	2	yes	—
1233	C₂×C₄	C₂²×M₁₆	1	2	yes	—
1234	C₂×C₄	C₂²×M₁₆	1	2	yes	—
1235	C₂×C₄	C₂×#131	1	2	yes	—
1236	C₂×C₄	C₂×#131	1	2	yes	—
1237	C₂×C₄	#568	1	2	yes	—
1238	C₂×C₄	C₂²×#41	1	1	yes	characteristic
1239	C₂×C₄	C₂²×#41	1	1	yes	characteristic
1240	C₂×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1241	C₂×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1242	C₂×C₄	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1243	C₂×C₄	#585	1	1	yes	characteristic
1244	C₈	—	2	2	no	—
1245	C₈	—	2	2	no	—
1246	C₈	—	2	2	no	—
1247	C₈	—	2	2	no	—
1248	C₈	—	2	2	no	—
1249	C₈	—	4	1	no	—
1250	C₈	—	4	1	no	—
1251	C₈	—	4	1	no	—
1252	C₈	—	4	1	no	—
1253	C₈	—	4	1	no	—
1254	C₈	—	4	1	no	—
1255	C₈	—	4	1	no	—
1256	C₈	—	4	1	no	—
1257	C₈	—	4	1	no	—
1258	C₈	—	4	1	no	—
1259	C₈	—	4	1	no	—
1260	C₂²	—	2	2	no	—
1261	C₂²	—	2	2	no	—
1262	C₂²	—	2	2	no	—
1263	C₂²	—	2	2	no	—
1264	C₂²	—	2	2	no	—
1265	C₂²	—	2	2	no	—
1266	C₂²	—	2	2	no	—
1267	C₂²	—	2	2	no	—
1268	C₂²	—	2	2	no	—
1269	C₂²	—	4	1	no	—
1270	C₂²	—	4	1	no	—
1271	C₂²	—	4	1	no	—
1272	C₂²	—	4	1	no	—
1273	C₂²	—	4	1	no	—
1274	C₂²	—	4	1	no	—
1275	C₂²	—	4	1	no	—
1276	C₂²	—	4	1	no	—
1277	C₂²	—	4	1	no	—
1278	C₂²	—	4	1	no	—
1279	C₂²	—	4	1	no	—
1280	C₂²	—	4	1	no	—
1281	C₂²	—	4	1	no	—
1282	C₂²	—	4	1	no	—
1283	C₂²	—	4	1	no	—
1284	C₂²	—	4	1	no	—
1285	C₂²	—	4	1	no	—
1286	C₂²	—	4	1	no	—
1287	C₂²	—	8	8	no	—
1288	C₂²	#2991	1	4	yes	—
1289	C₂²	C₂×C₄×#41	1	1	yes	characteristic
1290	C₂²	C₂×#520	1	1	yes	characteristic
1291	C₂²	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1292	C₂²	C₂³×M₁₆	1	1	yes	characteristic
1293	C₂²	C₂²×#131	1	1	yes	characteristic
1294	C₂²	C₂×#568	1	1	yes	characteristic
1295	C₂²	#3573	1	1	yes	characteristic
1296	C₄	—	2	2	no	—
1297	C₄	—	2	2	no	—
1298	C₄	—	2	2	no	—
1299	C₄	—	2	2	no	—
1300	C₄	—	2	2	no	—
1301	C₄	—	2	2	no	—
1302	C₄	—	2	2	no	—
1303	C₄	—	2	2	no	—
1304	C₄	—	2	2	no	—
1305	C₄	—	2	2	no	—
1306	C₄	—	2	2	no	—
1307	C₄	—	4	1	no	—
1308	C₄	—	4	1	no	—
1309	C₄	—	4	1	no	—
1310	C₄	—	4	1	no	—
1311	C₄	—	4	1	no	—
1312	C₄	—	4	1	no	—
1313	C₄	—	4	1	no	—
1314	C₄	—	4	1	no	—
1315	C₄	—	4	1	no	—
1316	C₄	—	4	1	no	—
1317	C₄	—	4	1	no	—
1318	C₄	—	4	1	no	—
1319	C₄	—	4	1	no	—
1320	C₄	—	4	1	no	—
1321	C₄	—	4	1	no	—
1322	C₄	#3490	1	1	yes	characteristic
1323	C₄	#3495	1	1	yes	characteristic
1324	C₄	#3513	1	1	yes	characteristic
1325	C₄	#3520	1	1	yes	characteristic
1326	C₂	—	2	4	no	—
1327	C₂	—	4	2	no	—
1328	C₂	—	8	1	no	—
1329	C₂	—	8	1	no	—
1330	C₂	#34296	1	1	yes	characteristic
1331	C₂	M₁₆×#41	1	1	yes	characteristic
1332	C₂	#60215	1	1	yes	characteristic
1333	C₂	C₂×#2991	1	1	yes	characteristic
1334	C₂	#60273	1	1	yes	characteristic
1335	C₂	#60309	1	1	yes	characteristic
1336	C₂	#60311	1	1	yes	characteristic

	subgroup	G/H
center, Frattini, cosocle	C₂²×C₄	C₂⁵
commutator, socle	C₂³	C₂⁴×C₄
prime radical	C₂×#120	C₂×C₄
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ 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. #23284	C₂	semidirect
3. #23284	C₂	semidirect
4. #23237	C₂	semidirect
5. #23205	C₂	semidirect
6. #22953	C₂	semidirect
7. #22910	C₂	semidirect
8. #22906	C₂	semidirect
9. #22906	C₂	semidirect
11. #22749	C₂	semidirect
12. #22698	C₂	semidirect
13. #22590	C₂	semidirect
14. #22589	C₂	semidirect
15. #22555	C₂	semidirect
16. #22552	C₂	semidirect
17. #22387	C₂	semidirect
18. #22365	C₂	semidirect
19. #22349	C₂	semidirect
20. #22347	C₂	semidirect
21. #22289	C₂	semidirect
22. #22073	C₂	semidirect
23. C₈×C₂²⋊Q₈	C₂	semidirect
24. #21564	C₂	semidirect
26. #21355	C₂	semidirect
27. #21101	C₂	semidirect
28. #20837	C₂	semidirect
29. #20567	C₂	semidirect
30. #20550	C₂	semidirect
31. C₂×#1753	C₂	semidirect
34. C₂×C₈×Q₈	C₂²	semidirect
42. C₂×#431	C₂²	semidirect
79. #1984	C₂²	semidirect
80. #1984	C₂²	semidirect
81. #1984	C₂²	semidirect
83. #1940	C₂²	semidirect
84. #1940	C₂²	semidirect
85. #1940	C₂²	semidirect
86. #1940	C₂²	semidirect
87. #1940	C₂²	semidirect
88. #1940	C₂²	semidirect
89. #1939	C₂²	semidirect
90. #1939	C₂²	semidirect
94. #1924	C₂²	semidirect
95. #1924	C₂²	semidirect
96. #1924	C₂²	semidirect
104. #1923	C₂²	semidirect
105. #1923	C₂²	semidirect
106. #1923	C₂²	semidirect
107. #1917	C₂²	semidirect
108. #1917	C₂²	semidirect
109. #1917	C₂²	semidirect
110. #1917	C₂²	semidirect
111. #1916	C₂²	semidirect
112. #1916	C₂²	semidirect
113. #1916	C₂²	semidirect
114. #1916	C₂²	semidirect
115. #1916	C₂²	semidirect
116. #1916	C₂²	semidirect
117. #1916	C₂²	semidirect
118. #1916	C₂²	semidirect
119. #1916	C₂²	semidirect
120. #1916	C₂²	semidirect
121. #1916	C₂²	semidirect
122. #1916	C₂²	semidirect
138. #1851	C₂²	semidirect
139. #1851	C₂²	semidirect
140. #1851	C₂²	semidirect
149. #1839	C₂²	semidirect
150. #1831	C₂²	semidirect
151. #1831	C₂²	semidirect
156. #1797	C₂²	semidirect
158. #1770	C₂²	semidirect
159. #1770	C₂²	semidirect
160. #1770	C₂²	semidirect
161. C₈×C₄⋊C₄	C₂²	semidirect
162. C₈×C₄⋊C₄	C₂²	semidirect
163. C₈×C₄⋊C₄	C₂²	semidirect
164. C₈×C₄⋊C₄	C₂²	semidirect
165. C₈×C₄⋊C₄	C₂²	semidirect
166. #1767	C₂²	semidirect
167. #1767	C₂²	semidirect
168. #1767	C₂²	semidirect
169. #1767	C₂²	semidirect
170. #1767	C₂²	semidirect
171. C₄×C₄⋊C₈	C₂²	semidirect
172. C₄×C₄⋊C₈	C₂²	semidirect
186. #1753	C₂²	semidirect
187. #1753	C₂²	semidirect
188. #1753	C₂²	semidirect
195. C₄×C₂²⋊C₈	C₂²	semidirect
196. #1744	C₂²	semidirect
197. #1744	C₂²	semidirect
200. #1728	C₂²	semidirect
585. C₂²⋊Q₈	M₁₆	semidirect
827. C₂×Q₈	C₂×M₁₆	semidirect
1010. C₄⋊C₄	C₂×M₁₆	semidirect
1011. C₄⋊C₄	C₂×M₁₆	semidirect
1012. C₄⋊C₄	C₂×M₁₆	semidirect

Maximal subgroups

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

subgroup	index
C₄×#551	2
#23284	2
#23237	2
#23205	2
#22953	2
#22910	2
#22906	2
#22848	2
#22749	2
#22698	2
#22590	2
#22589	2
#22555	2
#22552	2
#22387	2
#22365	2
#22349	2
#22347	2
#22289	2
#22073	2
C₈×C₂²⋊Q₈	2
#21564	2
#21441	2
#21355	2
#21101	2
#20837	2
#20567	2
#20550	2
C₂×#1753	2