Subgroups — #6370447

Order 512.

2464 conjugacy classes of subgroups.

The subgroup lattice has 1211 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#2974	C₂	1	1	yes	maximal, characteristic
2	C₂×#2973	C₂	1	1	yes	maximal, characteristic
3	D₄×#117	C₂	1	1	yes	maximal, characteristic
4	#20566	C₂	1	1	yes	maximal, characteristic, complemented
5	#20564	C₂	1	1	yes	maximal, characteristic, complemented
6	#20563	C₂	1	1	yes	maximal, characteristic, complemented
7	#20561	C₂	1	1	yes	maximal, characteristic, complemented
8	#20560	C₂	1	1	yes	maximal, characteristic, complemented
9	#20559	C₂	1	1	yes	maximal, characteristic, complemented
10	#20557	C₂	1	1	yes	maximal, characteristic, complemented
11	#20556	C₂	1	1	yes	maximal, characteristic, complemented
12	#20539	C₂	1	1	yes	maximal, characteristic, complemented
13	#20537	C₂	1	1	yes	maximal, characteristic, complemented
14	#20529	C₂	1	1	yes	maximal, characteristic, complemented
15	#20528	C₂	1	1	yes	maximal, characteristic, complemented
16	#20527	C₂	1	1	yes	maximal, characteristic, complemented
17	#20527	C₂	1	1	yes	maximal, characteristic, complemented
18	#20493	C₂	1	1	yes	maximal, characteristic, complemented
19	#20492	C₂	1	1	yes	maximal, characteristic, complemented
20	#20491	C₂	1	1	yes	maximal, characteristic, complemented
21	#20490	C₂	1	1	yes	maximal, characteristic, complemented
22	#20488	C₂	1	1	yes	maximal, characteristic, complemented
23	#20487	C₂	1	1	yes	maximal, characteristic, complemented
24	C₄×#435	C₂	1	1	yes	maximal, characteristic, complemented
25	#20484	C₂	1	1	yes	maximal, characteristic, complemented
26	#20470	C₂	1	1	yes	maximal, characteristic, complemented
27	#20467	C₂	1	1	yes	maximal, characteristic, complemented
28	#20379	C₂	1	1	yes	maximal, characteristic, complemented
29	#20379	C₂	1	1	yes	maximal, characteristic, complemented
30	#20377	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#1750	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×C₄×D₄	C₂²	1	1	yes	characteristic
33	C₂²×#117	C₂²	1	1	yes	characteristic
34	C₂²×#117	C₂²	1	1	yes	characteristic
35	#2974	C₄	1	16	yes	complemented
36	#2973	C₄	1	16	yes	complemented
37	C₂×#436	C₂²	1	1	yes	characteristic
38	C₂×#436	C₂²	1	1	yes	characteristic
39	C₂×#435	C₂²	1	1	yes	characteristic
40	C₂×#435	C₂²	1	1	yes	characteristic
41	C₂×#435	C₂²	1	1	yes	characteristic
42	C₂×#435	C₂²	1	1	yes	characteristic
43	C₂×#435	C₂²	1	1	yes	characteristic
44	C₂×#435	C₂²	1	1	yes	characteristic
45	C₂×#435	C₂²	1	1	yes	characteristic
46	C₂×#435	C₂²	1	1	yes	characteristic
47	C₂×#435	C₂²	1	1	yes	characteristic
48	C₂×#435	C₂²	1	1	yes	characteristic
49	C₂×#435	C₂²	1	1	yes	characteristic
50	C₂×#435	C₂²	1	1	yes	characteristic
51	C₂×C₈×D₄	C₂²	1	1	yes	characteristic
52	C₂×C₈×D₄	C₂²	1	1	yes	characteristic
53	C₂×#432	C₂²	1	1	yes	characteristic
54	C₂×#432	C₂²	1	1	yes	characteristic
55	C₂×#432	C₂²	1	1	yes	characteristic
56	C₂×#431	C₂²	1	1	yes	characteristic
57	C₂×#407	C₂²	1	1	yes	characteristic
58	C₂×#407	C₂²	1	1	yes	characteristic
59	C₂×#407	C₂²	1	1	yes	characteristic
60	C₂×#407	C₂²	1	1	yes	characteristic
61	C₂²×C₂²⋊C₈	C₂²	1	1	yes	characteristic
62	C₂²×C₂²⋊C₈	C₂²	1	1	yes	characteristic
63	C₂²×C₂²⋊C₈	C₂²	1	1	yes	characteristic
64	C₂²×C₂²⋊C₈	C₂²	1	1	yes	characteristic
65	C₂×#405	C₂²	1	1	yes	characteristic, complemented
66	C₂×#405	C₂²	1	1	yes	characteristic, complemented
67	C₂×#405	C₂²	1	1	yes	characteristic, complemented
68	C₂×#405	C₂²	1	1	yes	characteristic, complemented
69	C₂×C₄×M₁₆	C₂²	1	1	yes	characteristic, complemented
70	C₂×C₄×M₁₆	C₂²	1	1	yes	characteristic, complemented
71	C₂²×#97	C₂²	1	1	yes	characteristic, complemented
72	C₂²×C₄×C₈	C₂²	1	1	yes	characteristic, complemented
73	#2354	C₄	1	2	yes	—
74	#2352	C₄	1	2	yes	—
75	#2352	C₄	1	2	yes	—
76	D₄×C₄⋊C₄	C₄	1	2	yes	—
77	#2344	C₄	1	2	yes	—
78	#2342	C₄	1	2	yes	—
79	#2342	C₄	1	2	yes	—
80	D₄×C₂²⋊C₄	C₄	1	2	yes	—
81	#2293	C₂²	1	1	yes	characteristic
82	#2293	C₂²	1	1	yes	characteristic
83	#2290	C₂²	1	1	yes	characteristic
84	#2290	C₂²	1	1	yes	characteristic
85	#2290	C₂²	1	1	yes	characteristic
86	#2290	C₂²	1	1	yes	characteristic
87	#2285	C₂²	1	1	yes	characteristic
88	#2280	C₂²	1	1	yes	characteristic
89	#2280	C₂²	1	1	yes	characteristic
90	C₄²×D₄	C₂²	1	1	yes	characteristic
91	C₄²×D₄	C₂²	1	1	yes	characteristic
92	C₄×#117	C₂²	1	1	yes	characteristic
93	#1771	C₂²	1	1	yes	characteristic, complemented
94	#1771	C₂²	1	1	yes	characteristic, complemented
95	#1771	C₂²	1	1	yes	characteristic, complemented
96	#1771	C₂²	1	1	yes	characteristic, complemented
97	#1771	C₂²	1	1	yes	characteristic, complemented
98	#1771	C₂²	1	1	yes	characteristic, complemented
99	#1771	C₂²	1	1	yes	characteristic, complemented
100	#1771	C₂²	1	1	yes	characteristic, complemented
101	#1771	C₂²	1	1	yes	characteristic, complemented
102	#1771	C₂²	1	1	yes	characteristic, complemented
103	#1771	C₂²	1	1	yes	characteristic, complemented
104	#1771	C₂²	1	1	yes	characteristic, complemented
105	#1770	C₂²	1	1	yes	characteristic, complemented
106	#1770	C₂²	1	1	yes	characteristic, complemented
107	C₈×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
108	C₈×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
109	#1768	C₂²	1	1	yes	characteristic, complemented
110	#1768	C₂²	1	1	yes	characteristic, complemented
111	#1768	C₂²	1	1	yes	characteristic, complemented
112	#1768	C₂²	1	1	yes	characteristic, complemented
113	#1767	C₂²	1	1	yes	characteristic, complemented
114	#1767	C₂²	1	1	yes	characteristic, complemented
115	C₄×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
116	C₄×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
117	#1753	C₂²	1	1	yes	characteristic, complemented
118	#1753	C₂²	1	1	yes	characteristic, complemented
119	#1753	C₂²	1	1	yes	characteristic, complemented
120	#1753	C₂²	1	1	yes	characteristic, complemented
121	#1753	C₂²	1	1	yes	characteristic, complemented
122	#1753	C₂²	1	1	yes	characteristic, complemented
123	#1753	C₂²	1	1	yes	characteristic, complemented
124	#1753	C₂²	1	1	yes	characteristic, complemented
125	#1753	C₂²	1	1	yes	characteristic, complemented
126	#1753	C₂²	1	1	yes	characteristic, complemented
127	#1753	C₂²	1	1	yes	characteristic, complemented
128	#1753	C₂²	1	1	yes	characteristic, complemented
129	#1753	C₂²	1	1	yes	characteristic, complemented
130	#1753	C₂²	1	1	yes	characteristic, complemented
131	#1753	C₂²	1	1	yes	characteristic, complemented
132	#1753	C₂²	1	1	yes	characteristic, complemented
133	#1752	C₂²	1	1	yes	characteristic, complemented
134	#1752	C₂²	1	1	yes	characteristic, complemented
135	#1752	C₂²	1	1	yes	characteristic, complemented
136	#1752	C₂²	1	1	yes	characteristic, complemented
137	#1752	C₂²	1	1	yes	characteristic, complemented
138	#1752	C₂²	1	1	yes	characteristic, complemented
139	#1752	C₂²	1	1	yes	characteristic, complemented
140	#1752	C₂²	1	1	yes	characteristic, complemented
141	C₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
142	C₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
143	C₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
144	C₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
145	C₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
146	C₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
147	C₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
148	C₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
149	#1750	C₂²	1	1	yes	characteristic
150	#1750	C₂²	1	1	yes	characteristic
151	#1750	C₂²	1	1	yes	characteristic
152	#1750	C₂²	1	1	yes	characteristic
153	#1750	C₂²	1	1	yes	characteristic
154	#1750	C₂²	1	1	yes	characteristic
155	#1750	C₂²	1	1	yes	characteristic
156	#1750	C₂²	1	1	yes	characteristic
157	#1750	C₂²	1	1	yes	characteristic
158	#1750	C₂²	1	1	yes	characteristic
159	#1750	C₂²	1	1	yes	characteristic
160	#1750	C₂²	1	1	yes	characteristic
161	#1750	C₂²	1	1	yes	characteristic
162	#1750	C₂²	1	1	yes	characteristic
163	#1750	C₂²	1	1	yes	characteristic
164	#1750	C₂²	1	1	yes	characteristic
165	#1750	C₂²	1	1	yes	characteristic, complemented
166	#1750	C₂²	1	1	yes	characteristic, complemented
167	#1750	C₂²	1	1	yes	characteristic, complemented
168	#1750	C₂²	1	1	yes	characteristic, complemented
169	#1750	C₂²	1	1	yes	characteristic, complemented
170	#1750	C₂²	1	1	yes	characteristic, complemented
171	#1750	C₂²	1	1	yes	characteristic, complemented
172	#1750	C₂²	1	1	yes	characteristic, complemented
173	#1749	C₂²	1	1	yes	characteristic, complemented
174	#1749	C₂²	1	1	yes	characteristic, complemented
175	#1749	C₂²	1	1	yes	characteristic, complemented
176	#1749	C₂²	1	1	yes	characteristic, complemented
177	C₄×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
178	C₄×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
179	C₄×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
180	C₄×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
181	#1746	C₂²	1	1	yes	characteristic, complemented
182	#1746	C₂²	1	1	yes	characteristic, complemented
183	#1745	C₂²	1	1	yes	characteristic, complemented
184	#1745	C₂²	1	1	yes	characteristic, complemented
185	#1729	C₂²	1	1	yes	characteristic, complemented
186	#1729	C₂²	1	1	yes	characteristic, complemented
187	#1729	C₂²	1	1	yes	characteristic, complemented
188	#1729	C₂²	1	1	yes	characteristic, complemented
189	#1728	C₂²	1	1	yes	characteristic, complemented
190	#1728	C₂²	1	1	yes	characteristic, complemented
191	C₂×#336	C₂²	1	1	yes	characteristic, complemented
192	C₂×#336	C₂²	1	1	yes	characteristic, complemented
193	#1726	C₂²	1	1	yes	characteristic, complemented
194	#1726	C₂²	1	1	yes	characteristic, complemented
195	C₄×#97	C₂²	1	1	yes	characteristic, complemented
196	C₄×#97	C₂²	1	1	yes	characteristic, complemented
197	C₂³×D₄	C₂×C₄	1	1	yes	characteristic
198	C₂⁴×C₄	C₂³	1	1	yes	characteristic
199	C₂⁴×C₄	C₂³	1	1	yes	characteristic
200	C₂²×M₁₆	C₂³	1	1	yes	characteristic
201	C₂²×M₁₆	C₂³	1	1	yes	characteristic
202	C₂²×M₁₆	C₂³	1	1	yes	characteristic
203	C₂²×M₁₆	C₂³	1	1	yes	characteristic
204	C₂²×M₁₆	C₂³	1	1	yes	characteristic
205	C₂²×M₁₆	C₂³	1	1	yes	characteristic
206	C₂²×M₁₆	C₂³	1	1	yes	characteristic
207	C₂²×M₁₆	C₂³	1	1	yes	characteristic
208	C₂³×C₈	C₂³	1	1	yes	characteristic
209	C₂³×C₈	C₂³	1	1	yes	characteristic
210	C₂³×C₈	C₂³	1	1	yes	characteristic
211	C₂³×C₈	C₂³	1	1	yes	characteristic
212	C₂³×C₈	C₂³	1	1	yes	characteristic
213	C₂³×C₈	C₂³	1	1	yes	characteristic
214	C₂³×C₈	C₂³	1	1	yes	characteristic
215	C₂³×C₈	C₂³	1	1	yes	characteristic
216	C₂×C₄×D₄	C₂×C₄	1	8	yes	—
217	C₂×C₄×D₄	C₂×C₄	1	8	yes	—
218	C₂×C₄×D₄	C₂×C₄	1	2	yes	—
219	C₂×C₄×D₄	C₂×C₄	1	2	yes	—
220	C₂×C₄×D₄	C₂×C₄	1	1	yes	characteristic
221	C₂×C₄×D₄	C₂×C₄	1	1	yes	characteristic
222	C₂×C₄×D₄	C₂×C₄	1	1	yes	characteristic
223	C₂×C₄×D₄	C₂×C₄	1	1	yes	characteristic
224	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
225	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
226	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
227	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
228	C₂×#117	—	4	2	no	—
229	C₂×#117	—	4	2	no	—
230	C₂×#117	—	4	2	no	—
231	C₂×#117	—	4	2	no	—
232	C₂×#117	C₂×C₄	1	2	yes	—
233	C₂×#117	C₂×C₄	1	2	yes	—
234	C₂×#117	C₂×C₄	1	2	yes	—
235	C₂×#117	C₂×C₄	1	2	yes	—
236	C₂×#117	C₂³	1	1	yes	characteristic
237	C₂×#117	C₂³	1	1	yes	characteristic
238	C₂×#117	C₂³	1	1	yes	characteristic
239	C₂×#117	C₂³	1	1	yes	characteristic
240	C₂×#117	C₂³	1	1	yes	characteristic
241	C₂×#117	C₂³	1	1	yes	characteristic
242	C₂×#117	C₂³	1	1	yes	characteristic
243	C₂×#117	C₂³	1	1	yes	characteristic
244	C₂²×C₄⋊C₄	C₂×C₄	1	2	yes	—
245	C₂²×C₄⋊C₄	C₂×C₄	1	2	yes	—
246	C₂²×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
247	C₂²×C₂²⋊C₄	C₂×C₄	1	2	yes	—
248	C₂²×C₂²⋊C₄	C₂×C₄	1	2	yes	—
249	C₂²×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
250	C₂²×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
251	C₂²×C₄²	C₂³	1	1	yes	characteristic
252	C₂²×C₄²	C₂³	1	1	yes	characteristic
253	C₂²×C₄²	C₂³	1	1	yes	characteristic
254	C₂²×C₄²	C₂³	1	1	yes	characteristic
255	C₂²×C₄²	C₂³	1	1	yes	characteristic
256	#436	C₂×C₄	1	8	yes	complemented
257	#436	C₂×C₄	1	8	yes	complemented
258	#435	C₂×C₄	1	8	yes	—
259	#435	C₂×C₄	1	8	yes	—
260	#435	C₂×C₄	1	8	yes	—
261	#435	C₂×C₄	1	8	yes	—
262	#435	C₂×C₄	1	8	yes	complemented
263	#435	C₂×C₄	1	8	yes	complemented
264	#435	C₂×C₄	1	8	yes	complemented
265	#435	C₂×C₄	1	8	yes	complemented
266	#435	C₂×C₄	1	8	yes	complemented
267	#435	C₂×C₄	1	8	yes	complemented
268	#435	C₂×C₄	1	8	yes	complemented
269	#435	C₂×C₄	1	8	yes	complemented
270	C₈×D₄	C₂×C₄	1	8	yes	complemented
271	C₈×D₄	C₂×C₄	1	8	yes	complemented
272	#432	C₂×C₄	1	8	yes	complemented
273	#432	C₂×C₄	1	8	yes	complemented
274	#432	C₂×C₄	1	8	yes	complemented
275	#431	C₂×C₄	1	8	yes	complemented
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	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
284	#407	C₂×C₄	1	8	yes	complemented
285	#407	C₂×C₄	1	8	yes	complemented
286	#407	C₂×C₄	1	8	yes	complemented
287	#407	C₂×C₄	1	8	yes	complemented
288	C₂×C₂²⋊C₈	C₂×C₄	1	8	yes	complemented
289	C₂×C₂²⋊C₈	C₂×C₄	1	8	yes	complemented
290	C₂×C₂²⋊C₈	C₂×C₄	1	8	yes	complemented
291	C₂×C₂²⋊C₈	C₂×C₄	1	8	yes	complemented
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×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×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×C₂²⋊C₈	C₂³	1	1	yes	characteristic
316	#405	—	4	2	no	—
317	#405	—	4	2	no	—
318	#405	—	4	2	no	—
319	#405	—	4	2	no	—
320	C₄×M₁₆	—	4	2	no	—
321	C₄×M₁₆	—	4	2	no	—
322	C₂×#97	—	4	2	no	—
323	C₂×#97	C₂³	1	1	yes	characteristic
324	C₂×#97	C₂³	1	1	yes	characteristic
325	C₂×#97	C₂³	1	1	yes	characteristic
326	C₂×#97	C₂³	1	1	yes	characteristic
327	C₂×#97	C₂³	1	1	yes	characteristic
328	C₂×#97	C₂³	1	1	yes	characteristic
329	C₂×#97	C₂³	1	1	yes	characteristic
330	C₂×#97	C₂³	1	1	yes	characteristic
331	C₂×#97	C₂³	1	1	yes	characteristic
332	C₂×#97	C₂³	1	1	yes	characteristic
333	C₂×#97	C₂³	1	1	yes	characteristic
334	C₂×#97	C₂³	1	1	yes	characteristic
335	C₂×#97	C₂³	1	1	yes	characteristic
336	C₂×#97	C₂³	1	1	yes	characteristic
337	C₂×#97	C₂³	1	1	yes	characteristic
338	C₂×#97	C₂³	1	1	yes	characteristic
339	C₂×#97	C₂³	1	1	yes	characteristic
340	C₂×#97	C₂³	1	1	yes	characteristic
341	C₂×#97	C₂³	1	1	yes	characteristic
342	C₂×#97	C₂³	1	1	yes	characteristic
343	C₂×#97	C₂³	1	1	yes	characteristic
344	C₂×#97	C₂³	1	1	yes	characteristic
345	C₂×C₄×C₈	—	4	2	no	—
346	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
347	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
348	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
349	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
350	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
351	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
352	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
353	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
354	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
355	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
356	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
357	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
358	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
359	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
360	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
361	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
362	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
363	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
364	#390	C₂×C₄	1	2	yes	—
365	#390	C₂×C₄	1	2	yes	—
366	#389	C₂×C₄	1	2	yes	—
367	#389	C₂×C₄	1	2	yes	—
368	#388	C₂×C₄	1	2	yes	—
369	#388	C₂×C₄	1	2	yes	—
370	#388	C₂×C₄	1	2	yes	—
371	#388	C₂×C₄	1	2	yes	—
372	#388	C₂×C₄	1	2	yes	—
373	#388	C₂×C₄	1	2	yes	—
374	#388	C₂×C₄	1	2	yes	—
375	#388	C₂×C₄	1	2	yes	—
376	#387	C₂×C₄	1	2	yes	—
377	#387	C₂×C₄	1	2	yes	—
378	#387	C₂×C₄	1	2	yes	—
379	#387	C₂×C₄	1	2	yes	—
380	#386	C₂×C₄	1	2	yes	—
381	#386	C₂×C₄	1	2	yes	—
382	#386	C₂×C₄	1	2	yes	—
383	#386	C₂×C₄	1	2	yes	—
384	#385	C₂×C₄	1	2	yes	—
385	#385	C₂×C₄	1	2	yes	—
386	#385	C₂×C₄	1	2	yes	—
387	#385	C₂×C₄	1	2	yes	—
388	#384	C₂×C₄	1	2	yes	—
389	#382	C₂×C₄	1	2	yes	—
390	#381	C₂×C₄	1	2	yes	—
391	#381	C₂×C₄	1	2	yes	—
392	#380	C₂×C₄	1	2	yes	—
393	#380	C₂×C₄	1	2	yes	—
394	#380	C₂×C₄	1	2	yes	—
395	#380	C₂×C₄	1	2	yes	—
396	#380	C₂×C₄	1	2	yes	—
397	#380	C₂×C₄	1	2	yes	—
398	#379	C₂×C₄	1	2	yes	—
399	#379	C₂×C₄	1	2	yes	—
400	C₄×C₄⋊C₄	C₂×C₄	1	2	yes	—
401	C₄×C₄⋊C₄	C₂×C₄	1	2	yes	—
402	C₄×C₄⋊C₄	C₂×C₄	1	2	yes	—
403	C₄×C₄⋊C₄	C₂×C₄	1	2	yes	—
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	2	yes	—
409	C₄×C₂²⋊C₄	C₂×C₄	1	2	yes	—
410	C₄×C₂²⋊C₄	C₂×C₄	1	2	yes	—
411	C₄×C₂²⋊C₄	C₂×C₄	1	2	yes	—
412	C₄×C₂²⋊C₄	C₂×C₄	1	2	yes	—
413	C₄×C₂²⋊C₄	C₂×C₄	1	2	yes	—
414	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
415	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
416	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
417	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
418	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
419	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
420	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
421	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
422	#376	C₂³	1	1	yes	characteristic
423	#376	C₂³	1	1	yes	characteristic
424	C₄³	C₂³	1	1	yes	characteristic
425	C₄³	C₂³	1	1	yes	characteristic
426	#336	C₂³	1	1	yes	characteristic
427	#336	C₂³	1	1	yes	characteristic
428	#336	C₂³	1	1	yes	characteristic
429	#336	C₂³	1	1	yes	characteristic
430	#336	C₂³	1	1	yes	characteristic
431	#336	C₂³	1	1	yes	characteristic
432	#336	C₂³	1	1	yes	characteristic
433	#336	C₂³	1	1	yes	characteristic
434	#336	C₂³	1	1	yes	characteristic
435	#336	C₂³	1	1	yes	characteristic
436	#336	C₂³	1	1	yes	characteristic
437	#336	C₂³	1	1	yes	characteristic
438	#336	C₂³	1	1	yes	characteristic
439	#336	C₂³	1	1	yes	characteristic
440	#336	C₂³	1	1	yes	characteristic
441	#336	C₂³	1	1	yes	characteristic
442	#336	C₂³	1	1	yes	characteristic
443	#336	C₂³	1	1	yes	characteristic
444	#336	C₂³	1	1	yes	characteristic
445	#336	C₂³	1	1	yes	characteristic
446	#336	C₂³	1	1	yes	characteristic
447	#336	C₂³	1	1	yes	characteristic
448	#336	C₂³	1	1	yes	characteristic
449	#336	C₂³	1	1	yes	characteristic
450	#336	C₂³	1	1	yes	characteristic
451	#336	C₂³	1	1	yes	characteristic
452	#336	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	C₂⁵	C₂²×C₄	1	1	yes	characteristic
459	C₂⁵	C₂²×C₄	1	1	yes	characteristic
460	C₂²×D₄	—	4	4	no	—
461	C₂²×D₄	C₄²	1	8	yes	—
462	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
463	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
464	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
465	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
466	C₂³×C₄	—	4	1	no	—
467	C₂³×C₄	—	4	1	no	—
468	C₂³×C₄	—	4	1	no	—
469	C₂³×C₄	—	4	1	no	—
470	C₂³×C₄	—	4	1	no	—
471	C₂³×C₄	—	4	1	no	—
472	C₂³×C₄	—	4	1	no	—
473	C₂³×C₄	—	4	1	no	—
474	C₂³×C₄	C₂²×C₄	1	2	yes	—
475	C₂³×C₄	C₂²×C₄	1	2	yes	—
476	C₂³×C₄	C₂²×C₄	1	2	yes	—
477	C₂³×C₄	C₂²×C₄	1	2	yes	—
478	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
479	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
480	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
481	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
482	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
483	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
484	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
485	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
486	C₂³×C₄	C₂²×C₄	1	4	yes	—
487	C₂³×C₄	C₂²×C₄	1	4	yes	—
488	C₂³×C₄	C₂²×C₄	1	4	yes	—
489	C₂³×C₄	C₂²×C₄	1	4	yes	—
490	C₂³×C₄	C₂⁴	1	1	yes	characteristic
491	C₂³×C₄	C₂⁴	1	1	yes	characteristic
492	C₂³×C₄	C₂⁴	1	1	yes	characteristic
493	C₂³×C₄	C₂⁴	1	1	yes	characteristic
494	C₂³×C₄	C₂⁴	1	1	yes	characteristic
495	C₂×M₁₆	—	4	1	no	—
496	C₂×M₁₆	—	4	1	no	—
497	C₂×M₁₆	—	4	1	no	—
498	C₂×M₁₆	—	4	1	no	—
499	C₂×M₁₆	—	4	1	no	—
500	C₂×M₁₆	—	4	1	no	—
501	C₂×M₁₆	—	4	1	no	—
502	C₂×M₁₆	—	4	1	no	—
503	C₂×M₁₆	—	4	1	no	—
504	C₂×M₁₆	—	4	1	no	—
505	C₂×M₁₆	—	4	1	no	—
506	C₂×M₁₆	—	4	1	no	—
507	C₂×M₁₆	—	4	1	no	—
508	C₂×M₁₆	—	4	1	no	—
509	C₂×M₁₆	—	4	1	no	—
510	C₂×M₁₆	—	4	1	no	—
511	C₂×M₁₆	C₂²×C₄	1	4	yes	—
512	C₂×M₁₆	C₂²×C₄	1	4	yes	—
513	C₂×M₁₆	C₂²×C₄	1	4	yes	—
514	C₂×M₁₆	C₂²×C₄	1	4	yes	—
515	C₂×M₁₆	C₂²×C₄	1	4	yes	—
516	C₂×M₁₆	C₂²×C₄	1	4	yes	—
517	C₂×M₁₆	C₂²×C₄	1	4	yes	—
518	C₂×M₁₆	C₂²×C₄	1	4	yes	—
519	C₂²×C₈	—	4	1	no	—
520	C₂²×C₈	—	4	1	no	—
521	C₂²×C₈	—	4	1	no	—
522	C₂²×C₈	—	4	1	no	—
523	C₂²×C₈	—	4	1	no	—
524	C₂²×C₈	—	4	1	no	—
525	C₂²×C₈	—	4	1	no	—
526	C₂²×C₈	—	4	1	no	—
527	C₂²×C₈	—	4	1	no	—
528	C₂²×C₈	—	4	1	no	—
529	C₂²×C₈	—	4	1	no	—
530	C₂²×C₈	—	4	1	no	—
531	C₂²×C₈	—	4	1	no	—
532	C₂²×C₈	—	4	1	no	—
533	C₂²×C₈	—	4	1	no	—
534	C₂²×C₈	—	4	1	no	—
535	C₂²×C₈	C₂²×C₄	1	4	yes	—
536	C₂²×C₈	C₂²×C₄	1	4	yes	—
537	C₂²×C₈	C₂²×C₄	1	4	yes	—
538	C₂²×C₈	C₂²×C₄	1	4	yes	—
539	C₂²×C₈	C₂²×C₄	1	4	yes	—
540	C₂²×C₈	C₂²×C₄	1	4	yes	—
541	C₂²×C₈	C₂²×C₄	1	4	yes	—
542	C₂²×C₈	C₂²×C₄	1	4	yes	—
543	C₂²×C₈	C₂⁴	1	1	yes	characteristic
544	C₂²×C₈	C₂⁴	1	1	yes	characteristic
545	C₂²×C₈	C₂⁴	1	1	yes	characteristic
546	C₂²×C₈	C₂⁴	1	1	yes	characteristic
547	C₂²×C₈	C₂⁴	1	1	yes	characteristic
548	C₂²×C₈	C₂⁴	1	1	yes	characteristic
549	C₂²×C₈	C₂⁴	1	1	yes	characteristic
550	C₂²×C₈	C₂⁴	1	1	yes	characteristic
551	C₂²×C₈	C₂⁴	1	1	yes	characteristic
552	C₂²×C₈	C₂⁴	1	1	yes	characteristic
553	C₂²×C₈	C₂⁴	1	1	yes	characteristic
554	C₂²×C₈	C₂⁴	1	1	yes	characteristic
555	C₂²×C₈	C₂⁴	1	1	yes	characteristic
556	C₂²×C₈	C₂⁴	1	1	yes	characteristic
557	C₂²×C₈	C₂⁴	1	1	yes	characteristic
558	C₂²×C₈	C₂⁴	1	1	yes	characteristic
559	C₄×D₄	—	4	4	no	—
560	C₄×D₄	—	4	4	no	—
561	C₄×D₄	C₄²	1	8	yes	—
562	C₄×D₄	C₄²	1	8	yes	—
563	C₄×D₄	C₄²	1	8	yes	—
564	C₄×D₄	C₄²	1	8	yes	—
565	C₄×D₄	C₂²×C₄	1	4	yes	—
566	C₄×D₄	C₂²×C₄	1	4	yes	—
567	C₄×D₄	C₂²×C₄	1	4	yes	—
568	C₄×D₄	C₂²×C₄	1	4	yes	—
569	C₄×D₄	C₂²×C₄	1	4	yes	—
570	C₄×D₄	C₂²×C₄	1	4	yes	—
571	C₄×D₄	C₂²×C₄	1	4	yes	—
572	C₄×D₄	C₂²×C₄	1	4	yes	—
573	#117	—	2	2	no	—
574	#117	—	2	2	no	—
575	#117	—	2	2	no	—
576	#117	—	2	2	no	—
577	#117	—	2	2	no	—
578	#117	—	2	2	no	—
579	#117	—	4	1	no	—
580	#117	—	4	1	no	—
581	#117	—	4	1	no	—
582	#117	—	4	1	no	—
583	#117	—	4	1	no	—
584	#117	—	4	1	no	—
585	#117	—	4	1	no	—
586	#117	—	4	1	no	—
587	#117	—	4	1	no	—
588	#117	—	4	1	no	—
589	#117	—	4	4	no	—
590	#117	—	4	4	no	—
591	#117	—	4	4	no	—
592	#117	—	4	4	no	—
593	C₂×C₄⋊C₄	—	4	4	no	—
594	C₂×C₄⋊C₄	—	4	4	no	—
595	C₂×C₄⋊C₄	C₄²	1	8	yes	—
596	C₂×C₄⋊C₄	C₂²×C₄	1	2	yes	—
597	C₂×C₄⋊C₄	C₂²×C₄	1	2	yes	—
598	C₂×C₄⋊C₄	C₂²×C₄	1	2	yes	—
599	C₂×C₄⋊C₄	C₂²×C₄	1	2	yes	—
600	C₂×C₄⋊C₄	C₂²×C₄	1	2	yes	—
601	C₂×C₄⋊C₄	C₂²×C₄	1	2	yes	—
602	C₂×C₄⋊C₄	C₂²×C₄	1	2	yes	—
603	C₂×C₄⋊C₄	C₂²×C₄	1	2	yes	—
604	C₂×C₄⋊C₄	C₂²×C₄	1	2	yes	—
605	C₂×C₄⋊C₄	C₂²×C₄	1	2	yes	—
606	C₂×C₄⋊C₄	C₂²×C₄	1	2	yes	—
607	C₂×C₄⋊C₄	C₂²×C₄	1	2	yes	—
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×C₂²⋊C₄	—	4	4	no	—
613	C₂×C₂²⋊C₄	—	4	4	no	—
614	C₂×C₂²⋊C₄	C₄²	1	8	yes	—
615	C₂×C₂²⋊C₄	C₄²	1	8	yes	—
616	C₂×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
617	C₂×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
618	C₂×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
619	C₂×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
620	C₂×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
621	C₂×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
622	C₂×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
623	C₂×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
624	C₂×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
625	C₂×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
626	C₂×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
627	C₂×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
628	C₂×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
629	C₂×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
630	C₂×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
631	C₂×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
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×C₄²	—	2	2	no	—
641	C₂×C₄²	—	2	2	no	—
642	C₂×C₄²	—	2	2	no	—
643	C₂×C₄²	—	2	2	no	—
644	C₂×C₄²	—	4	1	no	—
645	C₂×C₄²	—	4	1	no	—
646	C₂×C₄²	—	4	1	no	—
647	C₂×C₄²	—	4	1	no	—
648	C₂×C₄²	C₂²×C₄	1	2	yes	—
649	C₂×C₄²	C₂²×C₄	1	2	yes	—
650	C₂×C₄²	C₂²×C₄	1	2	yes	—
651	C₂×C₄²	C₂²×C₄	1	2	yes	—
652	C₂×C₄²	C₂²×C₄	1	2	yes	—
653	C₂×C₄²	C₂²×C₄	1	2	yes	—
654	C₂×C₄²	C₂²×C₄	1	2	yes	—
655	C₂×C₄²	C₂²×C₄	1	2	yes	—
656	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
657	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
658	C₂×C₄²	C₂²×C₄	1	4	yes	—
659	C₂×C₄²	C₂²×C₄	1	4	yes	—
660	C₂×C₄²	C₂⁴	1	1	yes	characteristic
661	C₂×C₄²	C₂⁴	1	1	yes	characteristic
662	C₂×C₄²	C₂⁴	1	1	yes	characteristic
663	C₂×C₄²	C₂⁴	1	1	yes	characteristic
664	C₂×C₄²	C₂⁴	1	1	yes	characteristic
665	C₂×C₄²	C₂⁴	1	1	yes	characteristic
666	C₂×C₄²	C₂⁴	1	1	yes	characteristic
667	C₂×C₄²	C₂⁴	1	1	yes	characteristic
668	C₂×C₄²	C₂⁴	1	1	yes	characteristic
669	C₂×C₄²	C₂⁴	1	1	yes	characteristic
670	C₄⋊C₈	C₂²×C₄	1	4	yes	—
671	C₄⋊C₈	C₂²×C₄	1	4	yes	—
672	C₄⋊C₈	C₂²×C₄	1	4	yes	—
673	C₄⋊C₈	C₂²×C₄	1	4	yes	—
674	C₄⋊C₈	C₂²×C₄	1	4	yes	—
675	C₄⋊C₈	C₂²×C₄	1	4	yes	—
676	C₄⋊C₈	C₂²×C₄	1	4	yes	—
677	C₄⋊C₈	C₂²×C₄	1	4	yes	—
678	C₂²⋊C₈	C₂²×C₄	1	4	yes	—
679	C₂²⋊C₈	C₂²×C₄	1	4	yes	—
680	C₂²⋊C₈	C₂²×C₄	1	4	yes	—
681	C₂²⋊C₈	C₂²×C₄	1	4	yes	—
682	C₂²⋊C₈	C₂²×C₄	1	4	yes	—
683	C₂²⋊C₈	C₂²×C₄	1	4	yes	—
684	C₂²⋊C₈	C₂²×C₄	1	4	yes	—
685	C₂²⋊C₈	C₂²×C₄	1	4	yes	—
686	C₂²⋊C₈	C₂²×C₄	1	4	yes	—
687	C₂²⋊C₈	C₂²×C₄	1	4	yes	—
688	C₂²⋊C₈	C₂²×C₄	1	4	yes	—
689	C₂²⋊C₈	C₂²×C₄	1	4	yes	—
690	C₂²⋊C₈	C₂²×C₄	1	4	yes	—
691	C₂²⋊C₈	C₂²×C₄	1	4	yes	—
692	C₂²⋊C₈	C₂²×C₄	1	4	yes	—
693	C₂²⋊C₈	C₂²×C₄	1	4	yes	—
694	C₂²⋊C₈	C₂²×C₄	1	4	yes	—
695	C₂²⋊C₈	C₂²×C₄	1	4	yes	—
696	C₂²⋊C₈	C₂²×C₄	1	4	yes	—
697	C₂²⋊C₈	C₂²×C₄	1	4	yes	—
698	C₂²⋊C₈	C₂²×C₄	1	4	yes	—
699	C₂²⋊C₈	C₂²×C₄	1	4	yes	—
700	C₂²⋊C₈	C₂²×C₄	1	4	yes	—
701	C₂²⋊C₈	C₂²×C₄	1	4	yes	—
702	#97	—	2	2	no	—
703	#97	—	2	2	no	—
704	#97	—	2	2	no	—
705	#97	—	2	2	no	—
706	#97	—	4	1	no	—
707	#97	—	4	1	no	—
708	#97	—	4	1	no	—
709	#97	—	4	1	no	—
710	#97	—	4	1	no	—
711	#97	—	4	1	no	—
712	#97	—	4	1	no	—
713	#97	—	4	1	no	—
714	#97	—	4	1	no	—
715	#97	—	4	1	no	—
716	#97	—	4	1	no	—
717	#97	—	4	1	no	—
718	#97	C₂²×C₄	1	4	yes	—
719	#97	C₂²×C₄	1	4	yes	—
720	#97	C₂²×C₄	1	4	yes	—
721	#97	C₂²×C₄	1	4	yes	—
722	#97	C₂²×C₄	1	4	yes	—
723	#97	C₂²×C₄	1	4	yes	—
724	C₄×C₈	—	2	2	no	—
725	C₄×C₈	—	2	2	no	—
726	C₄×C₈	—	2	2	no	—
727	C₄×C₈	—	2	2	no	—
728	C₄×C₈	—	4	1	no	—
729	C₄×C₈	—	4	1	no	—
730	C₄×C₈	—	4	1	no	—
731	C₄×C₈	—	4	1	no	—
732	C₄×C₈	—	4	1	no	—
733	C₄×C₈	—	4	1	no	—
734	C₄×C₈	—	4	1	no	—
735	C₄×C₈	—	4	1	no	—
736	C₄×C₈	—	4	1	no	—
737	C₄×C₈	—	4	1	no	—
738	C₄×C₈	—	4	1	no	—
739	C₄×C₈	—	4	1	no	—
740	C₄×C₈	C₂²×C₄	1	4	yes	—
741	C₄×C₈	C₂²×C₄	1	4	yes	—
742	#95	C₂²×C₄	1	2	yes	—
743	#95	C₂²×C₄	1	2	yes	—
744	#95	C₂²×C₄	1	2	yes	—
745	#95	C₂²×C₄	1	2	yes	—
746	#95	C₂²×C₄	1	2	yes	—
747	#95	C₂²×C₄	1	2	yes	—
748	#95	C₂²×C₄	1	2	yes	—
749	#95	C₂²×C₄	1	2	yes	—
750	#95	C₂²×C₄	1	2	yes	—
751	#95	C₂²×C₄	1	2	yes	—
752	#95	C₂²×C₄	1	2	yes	—
753	#95	C₂²×C₄	1	2	yes	—
754	#95	C₂²×C₄	1	2	yes	—
755	#95	C₂²×C₄	1	2	yes	—
756	#95	C₂²×C₄	1	2	yes	—
757	#95	C₂²×C₄	1	2	yes	—
758	C₂⁴	—	2	4	no	—
759	C₂⁴	—	4	1	no	—
760	C₂⁴	—	4	1	no	—
761	C₂⁴	—	4	1	no	—
762	C₂⁴	—	4	1	no	—
763	C₂⁴	—	4	2	no	—
764	C₂⁴	—	4	2	no	—
765	C₂⁴	—	4	2	no	—
766	C₂⁴	C₂×C₄²	1	4	yes	—
767	C₂⁴	C₂×C₄²	1	4	yes	—
768	C₂⁴	C₂³×C₄	1	1	yes	characteristic
769	C₂⁴	C₂³×C₄	1	1	yes	characteristic
770	C₂⁴	C₂³×C₄	1	1	yes	characteristic
771	C₂⁴	C₂³×C₄	1	1	yes	characteristic
772	C₂⁴	C₂³×C₄	1	1	yes	characteristic
773	C₂×D₄	—	2	4	no	—
774	C₂×D₄	—	2	4	no	—
775	C₂×D₄	—	4	2	no	—
776	C₂×D₄	—	4	2	no	—
777	C₂×D₄	—	4	16	no	—
778	C₂×D₄	C₂×C₄²	1	4	yes	—
779	C₂×D₄	C₂×C₄²	1	4	yes	—
780	C₂×D₄	C₂×C₄²	1	4	yes	—
781	C₂×D₄	C₂×C₄²	1	4	yes	—
782	C₂²×C₄	—	2	1	no	—
783	C₂²×C₄	—	2	1	no	—
784	C₂²×C₄	—	2	1	no	—
785	C₂²×C₄	—	2	1	no	—
786	C₂²×C₄	—	2	1	no	—
787	C₂²×C₄	—	2	1	no	—
788	C₂²×C₄	—	2	1	no	—
789	C₂²×C₄	—	2	1	no	—
790	C₂²×C₄	—	2	1	no	—
791	C₂²×C₄	—	2	1	no	—
792	C₂²×C₄	—	2	1	no	—
793	C₂²×C₄	—	2	1	no	—
794	C₂²×C₄	—	2	1	no	—
795	C₂²×C₄	—	2	1	no	—
796	C₂²×C₄	—	2	1	no	—
797	C₂²×C₄	—	2	1	no	—
798	C₂²×C₄	—	2	1	no	—
799	C₂²×C₄	—	2	1	no	—
800	C₂²×C₄	—	2	1	no	—
801	C₂²×C₄	—	2	1	no	—
802	C₂²×C₄	—	2	4	no	—
803	C₂²×C₄	—	2	4	no	—
804	C₂²×C₄	—	2	4	no	—
805	C₂²×C₄	—	2	4	no	—
806	C₂²×C₄	—	4	4	no	—
807	C₂²×C₄	—	4	4	no	—
808	C₂²×C₄	—	4	4	no	—
809	C₂²×C₄	—	4	4	no	—
810	C₂²×C₄	—	4	4	no	—
811	C₂²×C₄	—	4	4	no	—
812	C₂²×C₄	—	4	4	no	—
813	C₂²×C₄	—	4	4	no	—
814	C₂²×C₄	—	4	1	no	—
815	C₂²×C₄	—	4	1	no	—
816	C₂²×C₄	—	4	1	no	—
817	C₂²×C₄	—	4	1	no	—
818	C₂²×C₄	—	4	1	no	—
819	C₂²×C₄	—	4	1	no	—
820	C₂²×C₄	—	4	1	no	—
821	C₂²×C₄	—	4	1	no	—
822	C₂²×C₄	—	4	1	no	—
823	C₂²×C₄	—	4	1	no	—
824	C₂²×C₄	—	4	1	no	—
825	C₂²×C₄	—	4	1	no	—
826	C₂²×C₄	—	4	2	no	—
827	C₂²×C₄	—	4	2	no	—
828	C₂²×C₄	—	4	2	no	—
829	C₂²×C₄	—	4	2	no	—
830	C₂²×C₄	—	4	2	no	—
831	C₂²×C₄	—	4	2	no	—
832	C₂²×C₄	—	4	2	no	—
833	C₂²×C₄	—	4	2	no	—
834	C₂²×C₄	—	4	2	no	—
835	C₂²×C₄	—	4	2	no	—
836	C₂²×C₄	C₂×C₄²	1	4	yes	—
837	C₂²×C₄	C₂×C₄²	1	4	yes	—
838	C₂²×C₄	C₂×C₄²	1	4	yes	—
839	C₂²×C₄	C₂×C₄²	1	4	yes	—
840	C₂²×C₄	C₂×C₄²	1	4	yes	—
841	C₂²×C₄	C₂×C₄²	1	4	yes	—
842	C₂²×C₄	C₂×C₄²	1	4	yes	—
843	C₂²×C₄	C₂×C₄²	1	4	yes	—
844	C₂²×C₄	C₂³×C₄	1	2	yes	—
845	C₂²×C₄	C₂³×C₄	1	2	yes	—
846	C₂²×C₄	C₂³×C₄	1	2	yes	—
847	C₂²×C₄	C₂³×C₄	1	2	yes	—
848	C₂²×C₄	C₂³×C₄	1	2	yes	—
849	C₂²×C₄	C₂³×C₄	1	2	yes	—
850	C₂²×C₄	C₂³×C₄	1	2	yes	—
851	C₂²×C₄	C₂³×C₄	1	2	yes	—
852	C₂²×C₄	C₂³×C₄	1	2	yes	—
853	C₂²×C₄	C₂³×C₄	1	2	yes	—
854	C₂²×C₄	C₂³×C₄	1	2	yes	—
855	C₂²×C₄	C₂³×C₄	1	2	yes	—
856	C₂²×C₄	C₂³×C₄	1	2	yes	—
857	C₂²×C₄	C₂³×C₄	1	2	yes	—
858	C₂²×C₄	C₂³×C₄	1	2	yes	—
859	C₂²×C₄	C₂³×C₄	1	2	yes	—
860	C₂²×C₄	C₂³×C₄	1	2	yes	—
861	C₂²×C₄	C₂³×C₄	1	2	yes	—
862	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
863	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
864	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
865	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
866	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
867	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
868	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
869	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
870	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
871	C₂²×C₄	C₂⁵	1	1	yes	characteristic
872	M₁₆	—	4	4	no	—
873	M₁₆	—	4	4	no	—
874	M₁₆	—	4	4	no	—
875	M₁₆	—	4	4	no	—
876	M₁₆	—	4	4	no	—
877	M₁₆	—	4	4	no	—
878	M₁₆	—	4	4	no	—
879	M₁₆	—	4	4	no	—
880	C₂×C₈	—	2	1	no	—
881	C₂×C₈	—	2	1	no	—
882	C₂×C₈	—	2	1	no	—
883	C₂×C₈	—	2	1	no	—
884	C₂×C₈	—	2	1	no	—
885	C₂×C₈	—	2	1	no	—
886	C₂×C₈	—	2	1	no	—
887	C₂×C₈	—	2	1	no	—
888	C₂×C₈	—	2	1	no	—
889	C₂×C₈	—	2	1	no	—
890	C₂×C₈	—	2	1	no	—
891	C₂×C₈	—	2	1	no	—
892	C₂×C₈	—	2	1	no	—
893	C₂×C₈	—	2	1	no	—
894	C₂×C₈	—	2	1	no	—
895	C₂×C₈	—	2	1	no	—
896	C₂×C₈	—	2	1	no	—
897	C₂×C₈	—	2	1	no	—
898	C₂×C₈	—	2	1	no	—
899	C₂×C₈	—	2	1	no	—
900	C₂×C₈	—	2	1	no	—
901	C₂×C₈	—	2	1	no	—
902	C₂×C₈	—	2	1	no	—
903	C₂×C₈	—	2	1	no	—
904	C₂×C₈	—	2	1	no	—
905	C₂×C₈	—	2	1	no	—
906	C₂×C₈	—	2	1	no	—
907	C₂×C₈	—	2	1	no	—
908	C₂×C₈	—	2	1	no	—
909	C₂×C₈	—	2	1	no	—
910	C₂×C₈	—	2	1	no	—
911	C₂×C₈	—	2	1	no	—
912	C₂×C₈	—	4	4	no	—
913	C₂×C₈	—	4	4	no	—
914	C₂×C₈	—	4	4	no	—
915	C₂×C₈	—	4	4	no	—
916	C₂×C₈	—	4	4	no	—
917	C₂×C₈	—	4	4	no	—
918	C₂×C₈	—	4	4	no	—
919	C₂×C₈	—	4	4	no	—
920	C₂×C₈	C₂³×C₄	1	2	yes	—
921	C₂×C₈	C₂³×C₄	1	2	yes	—
922	C₂×C₈	C₂³×C₄	1	2	yes	—
923	C₂×C₈	C₂³×C₄	1	2	yes	—
924	C₂×C₈	C₂³×C₄	1	2	yes	—
925	C₂×C₈	C₂³×C₄	1	2	yes	—
926	C₂×C₈	C₂³×C₄	1	2	yes	—
927	C₂×C₈	C₂³×C₄	1	2	yes	—
928	C₂×C₈	C₂³×C₄	1	2	yes	—
929	C₂×C₈	C₂³×C₄	1	2	yes	—
930	C₂×C₈	C₂³×C₄	1	2	yes	—
931	C₂×C₈	C₂³×C₄	1	2	yes	—
932	C₂×C₈	C₂³×C₄	1	2	yes	—
933	C₂×C₈	C₂³×C₄	1	2	yes	—
934	C₂×C₈	C₂³×C₄	1	2	yes	—
935	C₂×C₈	C₂³×C₄	1	2	yes	—
936	C₄⋊C₄	—	2	4	no	—
937	C₄⋊C₄	—	2	4	no	—
938	C₄⋊C₄	—	2	4	no	—
939	C₄⋊C₄	—	4	2	no	—
940	C₄⋊C₄	—	4	2	no	—
941	C₄⋊C₄	—	4	2	no	—
942	C₄⋊C₄	—	4	2	no	—
943	C₄⋊C₄	—	4	2	no	—
944	C₄⋊C₄	—	4	2	no	—
945	C₄⋊C₄	—	4	2	no	—
946	C₄⋊C₄	—	4	2	no	—
947	C₄⋊C₄	—	4	2	no	—
948	C₄⋊C₄	C₂×C₄²	1	4	yes	—
949	C₄⋊C₄	C₂×C₄²	1	4	yes	—
950	C₄⋊C₄	C₂×C₄²	1	4	yes	—
951	C₄⋊C₄	C₂×C₄²	1	4	yes	—
952	C₂²⋊C₄	—	2	4	no	—
953	C₂²⋊C₄	—	2	4	no	—
954	C₂²⋊C₄	—	2	4	no	—
955	C₂²⋊C₄	—	2	4	no	—
956	C₂²⋊C₄	—	2	4	no	—
957	C₂²⋊C₄	—	4	2	no	—
958	C₂²⋊C₄	—	4	2	no	—
959	C₂²⋊C₄	—	4	2	no	—
960	C₂²⋊C₄	—	4	2	no	—
961	C₂²⋊C₄	—	4	2	no	—
962	C₂²⋊C₄	—	4	2	no	—
963	C₂²⋊C₄	—	4	2	no	—
964	C₂²⋊C₄	—	4	2	no	—
965	C₂²⋊C₄	—	4	2	no	—
966	C₂²⋊C₄	—	4	2	no	—
967	C₂²⋊C₄	—	4	2	no	—
968	C₂²⋊C₄	C₂×C₄²	1	4	yes	—
969	C₂²⋊C₄	C₂×C₄²	1	4	yes	—
970	C₂²⋊C₄	C₂×C₄²	1	4	yes	—
971	C₂²⋊C₄	C₂×C₄²	1	4	yes	—
972	C₂²⋊C₄	C₂×C₄²	1	4	yes	—
973	C₂²⋊C₄	C₂×C₄²	1	4	yes	—
974	C₂²⋊C₄	C₂×C₄²	1	4	yes	—
975	C₂²⋊C₄	C₂×C₄²	1	4	yes	—
976	C₄²	—	2	4	no	—
977	C₄²	—	2	4	no	—
978	C₄²	—	2	1	no	—
979	C₄²	—	2	1	no	—
980	C₄²	—	2	1	no	—
981	C₄²	—	2	1	no	—
982	C₄²	—	2	1	no	—
983	C₄²	—	2	1	no	—
984	C₄²	—	2	1	no	—
985	C₄²	—	2	1	no	—
986	C₄²	—	2	1	no	—
987	C₄²	—	2	1	no	—
988	C₄²	—	2	1	no	—
989	C₄²	—	2	1	no	—
990	C₄²	—	2	1	no	—
991	C₄²	—	2	1	no	—
992	C₄²	—	4	2	no	—
993	C₄²	—	4	2	no	—
994	C₄²	—	4	2	no	—
995	C₄²	—	4	2	no	—
996	C₄²	—	4	2	no	—
997	C₄²	—	4	2	no	—
998	C₄²	C₂×C₄²	1	4	yes	—
999	C₄²	C₂×C₄²	1	4	yes	—
1000	C₄²	C₂³×C₄	1	2	yes	—
1001	C₄²	C₂³×C₄	1	2	yes	—
1002	C₄²	C₂³×C₄	1	2	yes	—
1003	C₄²	C₂³×C₄	1	2	yes	—
1004	C₄²	H(5,𝔽₂)	1	2	yes	—
1005	C₄²	H(5,𝔽₂)	1	2	yes	—
1006	C₂³	—	2	1	no	—
1007	C₂³	—	2	1	no	—
1008	C₂³	—	2	2	no	—
1009	C₂³	—	2	1	no	—
1010	C₂³	—	2	1	no	—
1011	C₂³	—	2	1	no	—
1012	C₂³	—	2	1	no	—
1013	C₂³	—	2	1	no	—
1014	C₂³	—	2	1	no	—
1015	C₂³	—	2	1	no	—
1016	C₂³	—	2	1	no	—
1017	C₂³	—	2	2	no	—
1018	C₂³	—	2	2	no	—
1019	C₂³	—	2	2	no	—
1020	C₂³	—	2	2	no	—
1021	C₂³	—	2	2	no	—
1022	C₂³	—	2	2	no	—
1023	C₂³	—	2	2	no	—
1024	C₂³	—	2	2	no	—
1025	C₂³	—	2	8	no	—
1026	C₂³	—	4	4	no	—
1027	C₂³	—	4	4	no	—
1028	C₂³	—	4	4	no	—
1029	C₂³	—	4	4	no	—
1030	C₂³	—	4	4	no	—
1031	C₂³	—	8	4	no	—
1032	C₂³	—	8	4	no	—
1033	C₂³	—	8	4	no	—
1034	C₂³	—	8	4	no	—
1035	C₂³	C₂²×C₄²	1	2	yes	—
1036	C₂³	C₂²×C₄²	1	2	yes	—
1037	C₂³	C₂²×C₄²	1	2	yes	—
1038	C₂³	C₂²×C₄²	1	2	yes	—
1039	C₂³	C₂²×C₄²	1	2	yes	—
1040	C₂³	#568	1	4	yes	—
1041	C₂³	C₂⁴×C₄	1	1	yes	characteristic
1042	D₄	—	2	8	no	—
1043	D₄	—	2	8	no	—
1044	D₄	—	4	4	no	—
1045	D₄	—	4	4	no	—
1046	C₂×C₄	—	2	1	no	—
1047	C₂×C₄	—	2	1	no	—
1048	C₂×C₄	—	2	1	no	—
1049	C₂×C₄	—	2	1	no	—
1050	C₂×C₄	—	2	1	no	—
1051	C₂×C₄	—	2	1	no	—
1052	C₂×C₄	—	2	1	no	—
1053	C₂×C₄	—	2	1	no	—
1054	C₂×C₄	—	2	1	no	—
1055	C₂×C₄	—	2	1	no	—
1056	C₂×C₄	—	2	2	no	—
1057	C₂×C₄	—	2	2	no	—
1058	C₂×C₄	—	2	2	no	—
1059	C₂×C₄	—	2	2	no	—
1060	C₂×C₄	—	2	2	no	—
1061	C₂×C₄	—	2	2	no	—
1062	C₂×C₄	—	2	2	no	—
1063	C₂×C₄	—	2	2	no	—
1064	C₂×C₄	—	2	2	no	—
1065	C₂×C₄	—	2	2	no	—
1066	C₂×C₄	—	2	2	no	—
1067	C₂×C₄	—	2	2	no	—
1068	C₂×C₄	—	2	2	no	—
1069	C₂×C₄	—	2	2	no	—
1070	C₂×C₄	—	2	2	no	—
1071	C₂×C₄	—	2	2	no	—
1072	C₂×C₄	—	2	2	no	—
1073	C₂×C₄	—	2	2	no	—
1074	C₂×C₄	—	2	2	no	—
1075	C₂×C₄	—	2	2	no	—
1076	C₂×C₄	—	2	2	no	—
1077	C₂×C₄	—	2	2	no	—
1078	C₂×C₄	—	2	2	no	—
1079	C₂×C₄	—	2	2	no	—
1080	C₂×C₄	—	2	2	no	—
1081	C₂×C₄	—	2	2	no	—
1082	C₂×C₄	—	2	2	no	—
1083	C₂×C₄	—	2	2	no	—
1084	C₂×C₄	—	2	2	no	—
1085	C₂×C₄	—	2	2	no	—
1086	C₂×C₄	—	2	2	no	—
1087	C₂×C₄	—	2	2	no	—
1088	C₂×C₄	—	2	2	no	—
1089	C₂×C₄	—	2	2	no	—
1090	C₂×C₄	—	2	2	no	—
1091	C₂×C₄	—	2	2	no	—
1092	C₂×C₄	—	2	2	no	—
1093	C₂×C₄	—	2	2	no	—
1094	C₂×C₄	—	2	2	no	—
1095	C₂×C₄	—	2	2	no	—
1096	C₂×C₄	—	2	2	no	—
1097	C₂×C₄	—	2	2	no	—
1098	C₂×C₄	—	2	2	no	—
1099	C₂×C₄	—	2	2	no	—
1100	C₂×C₄	—	2	2	no	—
1101	C₂×C₄	—	2	2	no	—
1102	C₂×C₄	—	2	2	no	—
1103	C₂×C₄	—	4	4	no	—
1104	C₂×C₄	—	4	4	no	—
1105	C₂×C₄	—	4	4	no	—
1106	C₂×C₄	—	4	4	no	—
1107	C₂×C₄	—	4	4	no	—
1108	C₂×C₄	—	4	4	no	—
1109	C₂×C₄	—	4	4	no	—
1110	C₂×C₄	—	4	4	no	—
1111	C₂×C₄	—	4	8	no	—
1112	C₂×C₄	—	8	4	no	—
1113	C₂×C₄	—	8	4	no	—
1114	C₂×C₄	—	8	4	no	—
1115	C₂×C₄	C₂²×C₄²	1	2	yes	—
1116	C₂×C₄	C₂²×C₄²	1	2	yes	—
1117	C₂×C₄	C₂²×C₄²	1	2	yes	—
1118	C₂×C₄	C₂²×C₄²	1	2	yes	—
1119	C₂×C₄	C₂²×C₄²	1	2	yes	—
1120	C₂×C₄	C₂²×C₄²	1	2	yes	—
1121	C₂×C₄	C₂²×C₄²	1	2	yes	—
1122	C₂×C₄	C₂²×C₄²	1	2	yes	—
1123	C₂×C₄	C₂²×C₄²	1	2	yes	—
1124	C₂×C₄	#518	1	4	yes	—
1125	C₂×C₄	C₂⁴×C₄	1	1	yes	characteristic
1126	C₂×C₄	C₂⁴×C₄	1	1	yes	characteristic
1127	C₂×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1128	C₂×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1129	C₂×C₄	#585	1	1	yes	characteristic
1130	C₂×C₄	#585	1	1	yes	characteristic
1131	C₈	—	2	2	no	—
1132	C₈	—	2	2	no	—
1133	C₈	—	2	2	no	—
1134	C₈	—	2	2	no	—
1135	C₈	—	2	2	no	—
1136	C₈	—	2	2	no	—
1137	C₈	—	2	2	no	—
1138	C₈	—	2	2	no	—
1139	C₈	—	2	2	no	—
1140	C₈	—	2	2	no	—
1141	C₈	—	2	2	no	—
1142	C₈	—	2	2	no	—
1143	C₈	—	2	2	no	—
1144	C₈	—	2	2	no	—
1145	C₈	—	2	2	no	—
1146	C₈	—	2	2	no	—
1147	C₂²	—	2	4	no	—
1148	C₂²	—	2	4	no	—
1149	C₂²	—	2	2	no	—
1150	C₂²	—	2	2	no	—
1151	C₂²	—	2	2	no	—
1152	C₂²	—	2	2	no	—
1153	C₂²	—	2	2	no	—
1154	C₂²	—	2	2	no	—
1155	C₂²	—	2	2	no	—
1156	C₂²	—	2	2	no	—
1157	C₂²	—	2	2	no	—
1158	C₂²	—	2	2	no	—
1159	C₂²	—	2	2	no	—
1160	C₂²	—	2	2	no	—
1161	C₂²	—	2	2	no	—
1162	C₂²	—	2	2	no	—
1163	C₂²	—	4	2	no	—
1164	C₂²	—	4	2	no	—
1165	C₂²	—	4	2	no	—
1166	C₂²	—	4	2	no	—
1167	C₂²	—	4	2	no	—
1168	C₂²	—	4	2	no	—
1169	C₂²	—	4	2	no	—
1170	C₂²	—	4	2	no	—
1171	C₂²	—	8	8	no	—
1172	C₂²	—	8	8	no	—
1173	C₂²	#2873	1	4	yes	—
1174	C₂²	C₂³×C₄²	1	1	yes	characteristic
1175	C₂²	C₂×#518	1	1	yes	characteristic
1176	C₂²	#3428	1	1	yes	characteristic
1177	C₂²	C₂×#568	1	2	yes	—
1178	C₂²	#3573	1	2	yes	—
1179	C₄	—	2	4	no	—
1180	C₄	—	2	2	no	—
1181	C₄	—	2	2	no	—
1182	C₄	—	2	2	no	—
1183	C₄	—	2	2	no	—
1184	C₄	—	2	2	no	—
1185	C₄	—	2	2	no	—
1186	C₄	—	2	2	no	—
1187	C₄	—	2	2	no	—
1188	C₄	—	2	2	no	—
1189	C₄	—	4	2	no	—
1190	C₄	—	4	2	no	—
1191	C₄	—	4	2	no	—
1192	C₄	—	4	2	no	—
1193	C₄	—	4	2	no	—
1194	C₄	—	4	2	no	—
1195	C₄	—	4	2	no	—
1196	C₄	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1197	C₄	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1198	C₄	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1199	C₄	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1200	C₂	—	2	4	no	—
1201	C₂	—	4	2	no	—
1202	C₂	—	4	2	no	—
1203	C₂	—	4	2	no	—
1204	C₂	—	4	2	no	—
1205	C₂	C₄×#518	1	1	yes	characteristic
1206	C₂	C₂×#2873	1	1	yes	characteristic
1207	C₂	#60058	1	1	yes	characteristic
1208	C₂	#60240	1	2	yes	—
1209	C₂	#60299	1	2	yes	—

	subgroup	G/H
center, Frattini, cosocle	C₂²×C₄	C₂⁵
commutator	C₂²	C₂³×C₄²
socle	C₂³	C₂⁴×C₄
prime radical	C₂³×D₄	C₂×C₄
LCS	G ▷ C₂² ▷ 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
4. #20566	C₂	semidirect
5. #20564	C₂	semidirect
6. #20563	C₂	semidirect
7. #20561	C₂	semidirect
8. #20560	C₂	semidirect
9. #20559	C₂	semidirect
10. #20557	C₂	semidirect
11. #20556	C₂	semidirect
12. #20539	C₂	semidirect
13. #20537	C₂	semidirect
14. #20529	C₂	semidirect
15. #20528	C₂	semidirect
16. #20527	C₂	semidirect
17. #20527	C₂	semidirect
18. #20493	C₂	semidirect
19. #20492	C₂	semidirect
20. #20491	C₂	semidirect
21. #20490	C₂	semidirect
22. #20488	C₂	semidirect
23. #20487	C₂	semidirect
24. C₄×#435	C₂	semidirect
25. #20484	C₂	semidirect
26. #20470	C₂	semidirect
27. #20467	C₂	semidirect
28. #20379	C₂	semidirect
29. #20379	C₂	semidirect
30. #20377	C₂	semidirect
31. C₂×#1750	C₂	semidirect
35. #2974	C₄	semidirect
36. #2973	C₄	semidirect
65. C₂×#405	C₂²	semidirect
66. C₂×#405	C₂²	semidirect
67. C₂×#405	C₂²	semidirect
68. C₂×#405	C₂²	semidirect
69. C₂×C₄×M₁₆	C₂²	semidirect
70. C₂×C₄×M₁₆	C₂²	semidirect
71. C₂²×#97	C₂²	semidirect
72. C₂²×C₄×C₈	C₂²	semidirect
93. #1771	C₂²	semidirect
94. #1771	C₂²	semidirect
95. #1771	C₂²	semidirect
96. #1771	C₂²	semidirect
97. #1771	C₂²	semidirect
98. #1771	C₂²	semidirect
99. #1771	C₂²	semidirect
100. #1771	C₂²	semidirect
101. #1771	C₂²	semidirect
102. #1771	C₂²	semidirect
103. #1771	C₂²	semidirect
104. #1771	C₂²	semidirect
105. #1770	C₂²	semidirect
106. #1770	C₂²	semidirect
107. C₈×C₄⋊C₄	C₂²	semidirect
108. C₈×C₄⋊C₄	C₂²	semidirect
109. #1768	C₂²	semidirect
110. #1768	C₂²	semidirect
111. #1768	C₂²	semidirect
112. #1768	C₂²	semidirect
113. #1767	C₂²	semidirect
114. #1767	C₂²	semidirect
115. C₄×C₄⋊C₈	C₂²	semidirect
116. C₄×C₄⋊C₈	C₂²	semidirect
117. #1753	C₂²	semidirect
118. #1753	C₂²	semidirect
119. #1753	C₂²	semidirect
120. #1753	C₂²	semidirect
121. #1753	C₂²	semidirect
122. #1753	C₂²	semidirect
123. #1753	C₂²	semidirect
124. #1753	C₂²	semidirect
125. #1753	C₂²	semidirect
126. #1753	C₂²	semidirect
127. #1753	C₂²	semidirect
128. #1753	C₂²	semidirect
129. #1753	C₂²	semidirect
130. #1753	C₂²	semidirect
131. #1753	C₂²	semidirect
132. #1753	C₂²	semidirect
133. #1752	C₂²	semidirect
134. #1752	C₂²	semidirect
135. #1752	C₂²	semidirect
136. #1752	C₂²	semidirect
137. #1752	C₂²	semidirect
138. #1752	C₂²	semidirect
139. #1752	C₂²	semidirect
140. #1752	C₂²	semidirect
141. C₈×C₂²⋊C₄	C₂²	semidirect
142. C₈×C₂²⋊C₄	C₂²	semidirect
143. C₈×C₂²⋊C₄	C₂²	semidirect
144. C₈×C₂²⋊C₄	C₂²	semidirect
145. C₈×C₂²⋊C₄	C₂²	semidirect
146. C₈×C₂²⋊C₄	C₂²	semidirect
147. C₈×C₂²⋊C₄	C₂²	semidirect
148. C₈×C₂²⋊C₄	C₂²	semidirect
165. #1750	C₂²	semidirect
166. #1750	C₂²	semidirect
167. #1750	C₂²	semidirect
168. #1750	C₂²	semidirect
169. #1750	C₂²	semidirect
170. #1750	C₂²	semidirect
171. #1750	C₂²	semidirect
172. #1750	C₂²	semidirect
173. #1749	C₂²	semidirect
174. #1749	C₂²	semidirect
175. #1749	C₂²	semidirect
176. #1749	C₂²	semidirect
177. C₄×C₂²⋊C₈	C₂²	semidirect
178. C₄×C₂²⋊C₈	C₂²	semidirect
179. C₄×C₂²⋊C₈	C₂²	semidirect
180. C₄×C₂²⋊C₈	C₂²	semidirect
181. #1746	C₂²	semidirect
182. #1746	C₂²	semidirect
183. #1745	C₂²	semidirect
184. #1745	C₂²	semidirect
185. #1729	C₂²	semidirect
186. #1729	C₂²	semidirect
187. #1729	C₂²	semidirect
188. #1729	C₂²	semidirect
189. #1728	C₂²	semidirect
190. #1728	C₂²	semidirect
191. C₂×#336	C₂²	semidirect
192. C₂×#336	C₂²	semidirect
193. #1726	C₂²	semidirect
194. #1726	C₂²	semidirect
195. C₄×#97	C₂²	semidirect
196. C₄×#97	C₂²	semidirect
256. #436	C₂×C₄	semidirect
257. #436	C₂×C₄	semidirect
262. #435	C₂×C₄	semidirect
263. #435	C₂×C₄	semidirect
264. #435	C₂×C₄	semidirect
265. #435	C₂×C₄	semidirect
266. #435	C₂×C₄	semidirect
267. #435	C₂×C₄	semidirect
268. #435	C₂×C₄	semidirect
269. #435	C₂×C₄	semidirect
270. C₈×D₄	C₂×C₄	semidirect
271. C₈×D₄	C₂×C₄	semidirect
272. #432	C₂×C₄	semidirect
273. #432	C₂×C₄	semidirect
274. #432	C₂×C₄	semidirect
275. #431	C₂×C₄	semidirect
284. #407	C₂×C₄	semidirect
285. #407	C₂×C₄	semidirect
286. #407	C₂×C₄	semidirect
287. #407	C₂×C₄	semidirect
288. C₂×C₂²⋊C₈	C₂×C₄	semidirect
289. C₂×C₂²⋊C₈	C₂×C₄	semidirect
290. C₂×C₂²⋊C₈	C₂×C₄	semidirect
291. C₂×C₂²⋊C₈	C₂×C₄	semidirect

Maximal subgroups

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

subgroup	index
C₂×#2974	2
C₂×#2973	2
D₄×#117	2
#20566	2
#20564	2
#20563	2
#20561	2
#20560	2
#20559	2
#20557	2
#20556	2
#20539	2
#20537	2
#20529	2
#20528	2
#20527	2
#20493	2
#20492	2
#20491	2
#20490	2
#20488	2
#20487	2
C₄×#435	2
#20484	2
#20470	2
#20467	2
#20379	2
#20377	2
C₂×#1750	2