Subgroups — #6370480

Order 512.

2500 conjugacy classes of subgroups.

The subgroup lattice has 1208 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#2973	C₂	1	1	yes	maximal, characteristic
2	C₂×D₄×M₁₆	C₂	1	1	yes	maximal, characteristic
3	#34126	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	#20551	C₂	1	1	yes	maximal, characteristic, complemented
13	#20549	C₂	1	1	yes	maximal, characteristic, complemented
14	#20529	C₂	1	1	yes	maximal, characteristic, complemented
15	#20527	C₂	1	1	yes	maximal, characteristic, complemented
16	#20525	C₂	1	1	yes	maximal, characteristic, complemented
17	#20524	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	#20480	C₂	1	1	yes	maximal, characteristic, complemented
27	#20477	C₂	1	1	yes	maximal, characteristic, complemented
28	#20389	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂²⋊C₄×M₁₆	C₂	1	1	yes	maximal, characteristic, complemented
30	#20386	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	C₂³×M₁₆	C₂²	1	1	yes	characteristic
34	C₂²×C₄×D₄	C₂²	1	1	yes	characteristic
35	#2973	C₄	1	16	yes	complemented
36	D₄×M₁₆	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×#423	C₂²	1	1	yes	characteristic
56	C₂×#407	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	C₂²×C₂²⋊C₈	C₂²	1	1	yes	characteristic
61	C₂²×C₂²⋊C₈	C₂²	1	1	yes	characteristic
62	C₂×#405	C₂²	1	1	yes	characteristic, complemented
63	C₂×#405	C₂²	1	1	yes	characteristic, complemented
64	C₂×#405	C₂²	1	1	yes	characteristic, complemented
65	C₂×#405	C₂²	1	1	yes	characteristic, complemented
66	C₂×C₄×M₁₆	C₂²	1	1	yes	characteristic
67	C₂×C₄×M₁₆	C₂²	1	1	yes	characteristic, complemented
68	C₂×C₄×M₁₆	C₂²	1	1	yes	characteristic, complemented
69	C₂²×#97	C₂²	1	1	yes	characteristic, complemented
70	C₂²×C₄×C₈	C₂²	1	1	yes	characteristic, complemented
71	#2357	C₄	1	2	yes	—
72	#2353	C₄	1	2	yes	—
73	#2353	C₄	1	2	yes	—
74	#2349	C₄	1	2	yes	—
75	#2345	C₄	1	2	yes	—
76	#2342	C₄	1	2	yes	—
77	#2342	C₄	1	2	yes	—
78	D₄×C₂²⋊C₄	C₄	1	2	yes	—
79	#2293	C₂²	1	1	yes	characteristic
80	#2293	C₂²	1	1	yes	characteristic
81	#2290	C₂²	1	1	yes	characteristic
82	#2290	C₂²	1	1	yes	characteristic
83	#2290	C₂²	1	1	yes	characteristic
84	#2290	C₂²	1	1	yes	characteristic
85	#2283	C₂²	1	1	yes	characteristic
86	#2280	C₂²	1	1	yes	characteristic
87	#2280	C₂²	1	1	yes	characteristic
88	C₄²×D₄	C₂²	1	1	yes	characteristic
89	C₄²×D₄	C₂²	1	1	yes	characteristic
90	C₄×#117	C₂²	1	1	yes	characteristic
91	C₂×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
92	C₂×C₄×C₂²⋊C₄	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
118	#1753	C₂²	1	1	yes	characteristic
119	#1753	C₂²	1	1	yes	characteristic
120	#1753	C₂²	1	1	yes	characteristic
121	#1753	C₂²	1	1	yes	characteristic
122	#1753	C₂²	1	1	yes	characteristic
123	#1753	C₂²	1	1	yes	characteristic
124	#1753	C₂²	1	1	yes	characteristic
125	#1753	C₂²	1	1	yes	characteristic
126	#1753	C₂²	1	1	yes	characteristic
127	#1753	C₂²	1	1	yes	characteristic
128	#1753	C₂²	1	1	yes	characteristic
129	#1753	C₂²	1	1	yes	characteristic
130	#1753	C₂²	1	1	yes	characteristic
131	#1753	C₂²	1	1	yes	characteristic
132	#1753	C₂²	1	1	yes	characteristic
133	#1753	C₂²	1	1	yes	characteristic, complemented
134	#1753	C₂²	1	1	yes	characteristic, complemented
135	#1753	C₂²	1	1	yes	characteristic, complemented
136	#1753	C₂²	1	1	yes	characteristic, complemented
137	#1753	C₂²	1	1	yes	characteristic, complemented
138	#1753	C₂²	1	1	yes	characteristic, complemented
139	#1753	C₂²	1	1	yes	characteristic, complemented
140	#1753	C₂²	1	1	yes	characteristic, complemented
141	#1753	C₂²	1	1	yes	characteristic, complemented
142	#1753	C₂²	1	1	yes	characteristic, complemented
143	#1753	C₂²	1	1	yes	characteristic, complemented
144	#1753	C₂²	1	1	yes	characteristic, complemented
145	#1753	C₂²	1	1	yes	characteristic, complemented
146	#1753	C₂²	1	1	yes	characteristic, complemented
147	#1753	C₂²	1	1	yes	characteristic, complemented
148	#1753	C₂²	1	1	yes	characteristic, complemented
149	#1752	C₂²	1	1	yes	characteristic, complemented
150	#1752	C₂²	1	1	yes	characteristic, complemented
151	#1752	C₂²	1	1	yes	characteristic, complemented
152	#1752	C₂²	1	1	yes	characteristic, complemented
153	#1752	C₂²	1	1	yes	characteristic, complemented
154	#1752	C₂²	1	1	yes	characteristic, complemented
155	#1752	C₂²	1	1	yes	characteristic, complemented
156	#1752	C₂²	1	1	yes	characteristic, complemented
157	C₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
158	C₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
159	C₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
160	C₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
161	C₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
162	C₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
163	C₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
164	C₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
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	—	4	2	no	—
201	C₂²×M₁₆	—	4	2	no	—
202	C₂²×M₁₆	—	4	2	no	—
203	C₂²×M₁₆	—	4	2	no	—
204	C₂²×M₁₆	C₂×C₄	1	8	yes	complemented
205	C₂²×M₁₆	C₂×C₄	1	8	yes	complemented
206	C₂²×M₁₆	C₂³	1	1	yes	characteristic
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	C₂²×M₁₆	C₂³	1	1	yes	characteristic
216	C₂²×M₁₆	C₂³	1	1	yes	characteristic
217	C₂²×M₁₆	C₂³	1	1	yes	characteristic
218	C₂³×C₈	C₂³	1	1	yes	characteristic
219	C₂³×C₈	C₂³	1	1	yes	characteristic
220	C₂³×C₈	C₂³	1	1	yes	characteristic
221	C₂³×C₈	C₂³	1	1	yes	characteristic
222	C₂³×C₈	C₂³	1	1	yes	characteristic
223	C₂³×C₈	C₂³	1	1	yes	characteristic
224	C₂³×C₈	C₂³	1	1	yes	characteristic
225	C₂³×C₈	C₂³	1	1	yes	characteristic
226	C₂×C₄×D₄	C₂×C₄	1	8	yes	—
227	C₂×C₄×D₄	C₂×C₄	1	8	yes	—
228	C₂×C₄×D₄	C₂×C₄	1	2	yes	—
229	C₂×C₄×D₄	C₂×C₄	1	2	yes	—
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×C₄×D₄	C₂³	1	1	yes	characteristic
238	C₂×#117	C₂×C₄	1	2	yes	—
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	C₂²×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
244	C₂²×C₂²⋊C₄	C₂×C₄	1	2	yes	—
245	C₂²×C₂²⋊C₄	C₂×C₄	1	2	yes	—
246	C₂²×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
247	C₂²×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
248	C₂²×C₄²	C₂³	1	1	yes	characteristic
249	C₂²×C₄²	C₂³	1	1	yes	characteristic
250	C₂²×C₄²	C₂³	1	1	yes	characteristic
251	C₂²×C₄²	C₂³	1	1	yes	characteristic
252	C₂²×C₄²	C₂³	1	1	yes	characteristic
253	#436	C₂×C₄	1	8	yes	complemented
254	#436	C₂×C₄	1	8	yes	complemented
255	#435	C₂×C₄	1	8	yes	—
256	#435	C₂×C₄	1	8	yes	—
257	#435	C₂×C₄	1	8	yes	—
258	#435	C₂×C₄	1	8	yes	—
259	#435	C₂×C₄	1	8	yes	complemented
260	#435	C₂×C₄	1	8	yes	complemented
261	#435	C₂×C₄	1	8	yes	complemented
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	C₈×D₄	C₂×C₄	1	8	yes	complemented
268	C₈×D₄	C₂×C₄	1	8	yes	complemented
269	#432	C₂×C₄	1	8	yes	complemented
270	#432	C₂×C₄	1	8	yes	complemented
271	#423	C₂×C₄	1	8	yes	complemented
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	#407	C₂×C₄	1	8	yes	complemented
281	#407	C₂×C₄	1	8	yes	complemented
282	#407	C₂×C₄	1	8	yes	complemented
283	#407	C₂×C₄	1	8	yes	complemented
284	C₂×C₂²⋊C₈	C₂×C₄	1	8	yes	complemented
285	C₂×C₂²⋊C₈	C₂×C₄	1	8	yes	complemented
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×C₂²⋊C₈	C₂³	1	1	yes	characteristic
306	#405	—	4	2	no	—
307	#405	—	4	2	no	—
308	#405	—	4	2	no	—
309	#405	—	4	2	no	—
310	C₄×M₁₆	—	4	2	no	—
311	C₄×M₁₆	—	4	2	no	—
312	C₄×M₁₆	C₂×C₄	1	8	yes	complemented
313	C₂×#97	—	4	2	no	—
314	C₂×#97	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×#97	C₂³	1	1	yes	characteristic
319	C₂×#97	C₂³	1	1	yes	characteristic
320	C₂×#97	C₂³	1	1	yes	characteristic
321	C₂×#97	C₂³	1	1	yes	characteristic
322	C₂×#97	C₂³	1	1	yes	characteristic
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×C₄×C₈	—	4	2	no	—
337	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
338	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
339	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
340	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
341	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
342	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
343	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
344	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
345	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
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	#390	C₂×C₄	1	2	yes	—
356	#390	C₂×C₄	1	2	yes	—
357	#389	C₂×C₄	1	2	yes	—
358	#389	C₂×C₄	1	2	yes	—
359	#388	C₂×C₄	1	2	yes	—
360	#388	C₂×C₄	1	2	yes	—
361	#388	C₂×C₄	1	2	yes	—
362	#388	C₂×C₄	1	2	yes	—
363	#388	C₂×C₄	1	2	yes	—
364	#388	C₂×C₄	1	2	yes	—
365	#388	C₂×C₄	1	2	yes	—
366	#388	C₂×C₄	1	2	yes	—
367	#387	C₂×C₄	1	2	yes	—
368	#387	C₂×C₄	1	2	yes	—
369	#387	C₂×C₄	1	2	yes	—
370	#387	C₂×C₄	1	2	yes	—
371	#386	C₂×C₄	1	2	yes	—
372	#386	C₂×C₄	1	2	yes	—
373	#386	C₂×C₄	1	2	yes	—
374	#386	C₂×C₄	1	2	yes	—
375	#385	C₂×C₄	1	2	yes	—
376	#385	C₂×C₄	1	2	yes	—
377	#385	C₂×C₄	1	2	yes	—
378	#385	C₂×C₄	1	2	yes	—
379	#383	C₂×C₄	1	2	yes	—
380	#382	C₂×C₄	1	2	yes	—
381	#381	C₂×C₄	1	2	yes	—
382	#381	C₂×C₄	1	2	yes	—
383	#381	C₂×C₄	1	2	yes	—
384	#380	C₂×C₄	1	2	yes	—
385	#380	C₂×C₄	1	2	yes	—
386	#380	C₂×C₄	1	2	yes	—
387	#380	C₂×C₄	1	2	yes	—
388	#380	C₂×C₄	1	2	yes	—
389	#379	C₂×C₄	1	2	yes	—
390	#379	C₂×C₄	1	2	yes	—
391	C₄×C₄⋊C₄	C₂×C₄	1	2	yes	—
392	C₄×C₄⋊C₄	C₂×C₄	1	2	yes	—
393	C₄×C₄⋊C₄	C₂×C₄	1	2	yes	—
394	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
395	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
396	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
397	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
398	C₄×C₂²⋊C₄	C₂×C₄	1	2	yes	—
399	C₄×C₂²⋊C₄	C₂×C₄	1	2	yes	—
400	C₄×C₂²⋊C₄	C₂×C₄	1	2	yes	—
401	C₄×C₂²⋊C₄	C₂×C₄	1	2	yes	—
402	C₄×C₂²⋊C₄	C₂×C₄	1	2	yes	—
403	C₄×C₂²⋊C₄	C₂×C₄	1	2	yes	—
404	C₄×C₂²⋊C₄	C₂×C₄	1	2	yes	—
405	C₄×C₂²⋊C₄	C₂×C₄	1	2	yes	—
406	C₄×C₂²⋊C₄	C₂×C₄	1	2	yes	—
407	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
408	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
409	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
410	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
411	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
412	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
413	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
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	#376	C₂×C₄	1	2	yes	—
420	#376	C₂³	1	1	yes	characteristic
421	#376	C₂³	1	1	yes	characteristic
422	C₂×#95	C₂×C₄	1	2	yes	—
423	C₂×#95	C₂×C₄	1	2	yes	—
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	—	2	2	no	—
496	C₂×M₁₆	—	2	2	no	—
497	C₂×M₁₆	—	2	2	no	—
498	C₂×M₁₆	—	2	2	no	—
499	C₂×M₁₆	—	2	2	no	—
500	C₂×M₁₆	—	2	2	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	—	4	1	no	—
512	C₂×M₁₆	—	4	1	no	—
513	C₂×M₁₆	—	4	1	no	—
514	C₂×M₁₆	—	4	1	no	—
515	C₂×M₁₆	—	4	1	no	—
516	C₂×M₁₆	—	4	1	no	—
517	C₂×M₁₆	—	4	1	no	—
518	C₂×M₁₆	—	4	1	no	—
519	C₂×M₁₆	—	4	16	no	—
520	C₂×M₁₆	—	4	16	no	—
521	C₂×M₁₆	C₂²×C₄	1	4	yes	—
522	C₂×M₁₆	C₂²×C₄	1	4	yes	—
523	C₂×M₁₆	C₂²×C₄	1	4	yes	—
524	C₂×M₁₆	C₂²×C₄	1	4	yes	—
525	C₂×M₁₆	C₂²×C₄	1	4	yes	—
526	C₂×M₁₆	C₂²×C₄	1	4	yes	—
527	C₂×M₁₆	C₂²×C₄	1	4	yes	—
528	C₂×M₁₆	C₂²×C₄	1	4	yes	—
529	C₂×M₁₆	C₂²×C₄	1	4	yes	—
530	C₂×M₁₆	C₂²×C₄	1	4	yes	—
531	C₂×M₁₆	C₂²×C₄	1	4	yes	—
532	C₂×M₁₆	C₂²×C₄	1	4	yes	—
533	C₂²×C₈	—	2	2	no	—
534	C₂²×C₈	—	2	2	no	—
535	C₂²×C₈	—	2	2	no	—
536	C₂²×C₈	—	2	2	no	—
537	C₂²×C₈	—	4	1	no	—
538	C₂²×C₈	—	4	1	no	—
539	C₂²×C₈	—	4	1	no	—
540	C₂²×C₈	—	4	1	no	—
541	C₂²×C₈	—	4	1	no	—
542	C₂²×C₈	—	4	1	no	—
543	C₂²×C₈	—	4	1	no	—
544	C₂²×C₈	—	4	1	no	—
545	C₂²×C₈	—	4	1	no	—
546	C₂²×C₈	—	4	1	no	—
547	C₂²×C₈	—	4	1	no	—
548	C₂²×C₈	—	4	1	no	—
549	C₂²×C₈	C₂²×C₄	1	4	yes	—
550	C₂²×C₈	C₂²×C₄	1	4	yes	—
551	C₂²×C₈	C₂²×C₄	1	4	yes	—
552	C₂²×C₈	C₂²×C₄	1	4	yes	—
553	C₂²×C₈	C₂²×C₄	1	4	yes	—
554	C₂²×C₈	C₂²×C₄	1	4	yes	—
555	C₂²×C₈	C₂²×C₄	1	4	yes	—
556	C₂²×C₈	C₂²×C₄	1	4	yes	—
557	C₂²×C₈	C₂⁴	1	1	yes	characteristic
558	C₂²×C₈	C₂⁴	1	1	yes	characteristic
559	C₂²×C₈	C₂⁴	1	1	yes	characteristic
560	C₂²×C₈	C₂⁴	1	1	yes	characteristic
561	C₂²×C₈	C₂⁴	1	1	yes	characteristic
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	C₄×D₄	—	4	4	no	—
574	C₄×D₄	—	4	4	no	—
575	C₄×D₄	C₄²	1	8	yes	—
576	C₄×D₄	C₄²	1	8	yes	—
577	C₄×D₄	C₄²	1	8	yes	—
578	C₄×D₄	C₄²	1	8	yes	—
579	C₄×D₄	C₂²×C₄	1	4	yes	—
580	C₄×D₄	C₂²×C₄	1	4	yes	—
581	C₄×D₄	C₂²×C₄	1	4	yes	—
582	C₄×D₄	C₂²×C₄	1	4	yes	—
583	C₄×D₄	C₂²×C₄	1	4	yes	—
584	C₄×D₄	C₂²×C₄	1	4	yes	—
585	C₄×D₄	C₂²×C₄	1	4	yes	—
586	C₄×D₄	C₂²×C₄	1	4	yes	—
587	#117	—	4	1	no	—
588	#117	—	4	1	no	—
589	#117	—	4	1	no	—
590	#117	—	4	1	no	—
591	#117	—	4	1	no	—
592	#117	—	4	1	no	—
593	#117	—	4	1	no	—
594	#117	—	4	1	no	—
595	#117	—	4	4	no	—
596	C₂×C₄⋊C₄	C₄²	1	8	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	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×C₂²⋊C₄	—	4	4	no	—
610	C₂×C₂²⋊C₄	—	4	4	no	—
611	C₂×C₂²⋊C₄	C₄²	1	8	yes	—
612	C₂×C₂²⋊C₄	C₄²	1	8	yes	—
613	C₂×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
614	C₂×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
615	C₂×C₂²⋊C₄	C₂²×C₄	1	2	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	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×C₄²	—	4	1	no	—
638	C₂×C₄²	—	4	1	no	—
639	C₂×C₄²	—	4	1	no	—
640	C₂×C₄²	—	4	1	no	—
641	C₂×C₄²	—	4	1	no	—
642	C₂×C₄²	—	4	1	no	—
643	C₂×C₄²	—	4	1	no	—
644	C₂×C₄²	—	4	1	no	—
645	C₂×C₄²	C₂²×C₄	1	2	yes	—
646	C₂×C₄²	C₂²×C₄	1	2	yes	—
647	C₂×C₄²	C₂²×C₄	1	2	yes	—
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	1	yes	characteristic
654	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
655	C₂×C₄²	C₂²×C₄	1	4	yes	—
656	C₂×C₄²	C₂²×C₄	1	4	yes	—
657	C₂×C₄²	C₂⁴	1	1	yes	characteristic
658	C₂×C₄²	C₂⁴	1	1	yes	characteristic
659	C₂×C₄²	C₂⁴	1	1	yes	characteristic
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	C₄⋊C₈	C₂²×C₄	1	4	yes	—
668	C₄⋊C₈	C₂²×C₄	1	4	yes	—
669	C₄⋊C₈	C₂²×C₄	1	4	yes	—
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	C₂²⋊C₈	C₂²×C₄	1	4	yes	—
676	C₂²⋊C₈	C₂²×C₄	1	4	yes	—
677	C₂²⋊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	#97	—	2	2	no	—
696	#97	—	2	2	no	—
697	#97	—	2	2	no	—
698	#97	—	2	2	no	—
699	#97	—	4	1	no	—
700	#97	—	4	1	no	—
701	#97	—	4	1	no	—
702	#97	—	4	1	no	—
703	#97	—	4	1	no	—
704	#97	—	4	1	no	—
705	#97	—	4	1	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	C₂²×C₄	1	4	yes	—
712	#97	C₂²×C₄	1	4	yes	—
713	#97	C₂²×C₄	1	4	yes	—
714	#97	C₂²×C₄	1	4	yes	—
715	#97	C₂²×C₄	1	4	yes	—
716	#97	C₂²×C₄	1	4	yes	—
717	C₄×C₈	—	2	2	no	—
718	C₄×C₈	—	2	2	no	—
719	C₄×C₈	—	2	2	no	—
720	C₄×C₈	—	2	2	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	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	C₂²×C₄	1	4	yes	—
734	C₄×C₈	C₂²×C₄	1	4	yes	—
735	#95	C₂²×C₄	1	2	yes	—
736	#95	C₂²×C₄	1	2	yes	—
737	#95	C₂²×C₄	1	2	yes	—
738	#95	C₂²×C₄	1	2	yes	—
739	#95	C₂²×C₄	1	2	yes	—
740	#95	C₂²×C₄	1	2	yes	—
741	#95	C₂²×C₄	1	2	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	C₂⁴	—	2	4	no	—
756	C₂⁴	—	4	2	no	—
757	C₂⁴	—	4	2	no	—
758	C₂⁴	—	4	1	no	—
759	C₂⁴	—	4	1	no	—
760	C₂⁴	—	4	1	no	—
761	C₂⁴	—	4	1	no	—
762	C₂⁴	—	4	2	no	—
763	C₂⁴	C₂×C₄²	1	4	yes	—
764	C₂⁴	C₂×C₄²	1	4	yes	—
765	C₂⁴	C₂³×C₄	1	1	yes	characteristic
766	C₂⁴	C₂³×C₄	1	1	yes	characteristic
767	C₂⁴	C₂³×C₄	1	1	yes	characteristic
768	C₂⁴	C₂³×C₄	1	1	yes	characteristic
769	C₂⁴	C₂³×C₄	1	1	yes	characteristic
770	C₂×D₄	—	2	4	no	—
771	C₂×D₄	—	2	4	no	—
772	C₂×D₄	—	4	2	no	—
773	C₂×D₄	—	4	2	no	—
774	C₂×D₄	—	4	16	no	—
775	C₂×D₄	C₂×C₄²	1	4	yes	—
776	C₂×D₄	C₂×C₄²	1	4	yes	—
777	C₂×D₄	C₂×C₄²	1	4	yes	—
778	C₂×D₄	C₂×C₄²	1	4	yes	—
779	C₂²×C₄	—	2	1	no	—
780	C₂²×C₄	—	2	1	no	—
781	C₂²×C₄	—	2	1	no	—
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	4	no	—
800	C₂²×C₄	—	2	4	no	—
801	C₂²×C₄	—	2	4	no	—
802	C₂²×C₄	—	2	4	no	—
803	C₂²×C₄	—	4	4	no	—
804	C₂²×C₄	—	4	4	no	—
805	C₂²×C₄	—	4	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	2	no	—
812	C₂²×C₄	—	4	2	no	—
813	C₂²×C₄	—	4	1	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	2	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	C₂×C₄²	1	4	yes	—
834	C₂²×C₄	C₂×C₄²	1	4	yes	—
835	C₂²×C₄	C₂×C₄²	1	4	yes	—
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	C₂³×C₄	1	2	yes	—
842	C₂²×C₄	C₂³×C₄	1	2	yes	—
843	C₂²×C₄	C₂³×C₄	1	2	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	1	yes	characteristic
860	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
861	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
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	C₂⁵	1	1	yes	characteristic
869	M₁₆	—	2	8	no	—
870	M₁₆	—	2	8	no	—
871	M₁₆	—	2	8	no	—
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	M₁₆	—	4	4	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	8	no	—
912	C₂×C₈	—	2	8	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	C₂³×C₄	1	2	yes	—
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	H(5,𝔽₂)	1	2	yes	—
936	C₂×C₈	H(5,𝔽₂)	1	2	yes	—
937	C₄⋊C₄	—	2	4	no	—
938	C₄⋊C₄	—	4	2	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	C₂×C₄²	1	4	yes	—
946	C₄⋊C₄	C₂×C₄²	1	4	yes	—
947	C₄⋊C₄	C₂×C₄²	1	4	yes	—
948	C₄⋊C₄	C₂×C₄²	1	4	yes	—
949	C₂²⋊C₄	—	2	4	no	—
950	C₂²⋊C₄	—	2	4	no	—
951	C₂²⋊C₄	—	2	4	no	—
952	C₂²⋊C₄	—	2	4	no	—
953	C₂²⋊C₄	—	2	4	no	—
954	C₂²⋊C₄	—	4	2	no	—
955	C₂²⋊C₄	—	4	2	no	—
956	C₂²⋊C₄	—	4	2	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	C₂×C₄²	1	4	yes	—
966	C₂²⋊C₄	C₂×C₄²	1	4	yes	—
967	C₂²⋊C₄	C₂×C₄²	1	4	yes	—
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	C₄²	—	2	4	no	—
974	C₄²	—	2	1	no	—
975	C₄²	—	2	1	no	—
976	C₄²	—	2	1	no	—
977	C₄²	—	2	1	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	—	4	2	no	—
991	C₄²	—	4	2	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	C₂×C₄²	1	4	yes	—
998	C₄²	C₂×C₄²	1	4	yes	—
999	C₄²	C₂³×C₄	1	2	yes	—
1000	C₄²	C₂³×C₄	1	2	yes	—
1001	C₄²	C₂³×C₄	1	2	yes	—
1002	C₄²	C₂³×C₄	1	2	yes	—
1003	C₂³	—	2	1	no	—
1004	C₂³	—	2	1	no	—
1005	C₂³	—	2	2	no	—
1006	C₂³	—	2	1	no	—
1007	C₂³	—	2	1	no	—
1008	C₂³	—	2	1	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	2	no	—
1015	C₂³	—	2	2	no	—
1016	C₂³	—	2	2	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	8	no	—
1023	C₂³	—	4	4	no	—
1024	C₂³	—	4	4	no	—
1025	C₂³	—	4	4	no	—
1026	C₂³	—	4	4	no	—
1027	C₂³	—	4	4	no	—
1028	C₂³	—	8	4	no	—
1029	C₂³	—	8	4	no	—
1030	C₂³	—	8	4	no	—
1031	C₂³	—	8	4	no	—
1032	C₂³	C₂²×C₄²	1	2	yes	—
1033	C₂³	C₂²×C₄²	1	2	yes	—
1034	C₂³	C₂²×C₄²	1	2	yes	—
1035	C₂³	C₂²×C₄²	1	2	yes	—
1036	C₂³	C₂²×C₄²	1	2	yes	—
1037	C₂³	#568	1	4	yes	—
1038	C₂³	C₂⁴×C₄	1	1	yes	characteristic
1039	D₄	—	2	8	no	—
1040	D₄	—	2	8	no	—
1041	D₄	—	4	4	no	—
1042	D₄	—	4	4	no	—
1043	C₂×C₄	—	2	2	no	—
1044	C₂×C₄	—	2	1	no	—
1045	C₂×C₄	—	2	1	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	2	no	—
1055	C₂×C₄	—	2	2	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	—	4	4	no	—
1101	C₂×C₄	—	4	4	no	—
1102	C₂×C₄	—	4	4	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	8	no	—
1109	C₂×C₄	—	8	4	no	—
1110	C₂×C₄	—	8	4	no	—
1111	C₂×C₄	—	8	4	no	—
1112	C₂×C₄	C₂²×C₄²	1	2	yes	—
1113	C₂×C₄	C₂²×C₄²	1	2	yes	—
1114	C₂×C₄	C₂²×C₄²	1	2	yes	—
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	#568	1	4	yes	—
1122	C₂×C₄	C₂⁴×C₄	1	1	yes	characteristic
1123	C₂×C₄	C₂⁴×C₄	1	1	yes	characteristic
1124	C₂×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1125	C₂×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1126	C₂×C₄	#585	1	1	yes	characteristic
1127	C₂×C₄	#585	1	1	yes	characteristic
1128	C₈	—	2	2	no	—
1129	C₈	—	2	2	no	—
1130	C₈	—	2	2	no	—
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	#518	1	4	yes	—
1144	C₂²	—	2	2	no	—
1145	C₂²	—	2	4	no	—
1146	C₂²	—	2	4	no	—
1147	C₂²	—	2	2	no	—
1148	C₂²	—	2	2	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	—	4	2	no	—
1161	C₂²	—	4	2	no	—
1162	C₂²	—	4	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	—	8	8	no	—
1169	C₂²	—	8	8	no	—
1170	C₂²	#2873	1	4	yes	—
1171	C₂²	C₂³×C₄²	1	1	yes	characteristic
1172	C₂²	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1173	C₂²	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1174	C₂²	C₂×#568	1	2	yes	—
1175	C₂²	C₂×#568	1	2	yes	—
1176	C₄	—	2	2	no	—
1177	C₄	—	2	2	no	—
1178	C₄	—	2	2	no	—
1179	C₄	—	2	2	no	—
1180	C₄	—	2	4	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	—	4	2	no	—
1187	C₄	—	4	2	no	—
1188	C₄	—	4	2	no	—
1189	C₄	—	4	2	no	—
1190	C₄	—	4	2	no	—
1191	C₄	—	4	2	no	—
1192	C₄	—	4	2	no	—
1193	C₄	C₂×#518	1	1	yes	characteristic
1194	C₄	#3428	1	1	yes	characteristic
1195	C₄	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1196	C₄	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1197	C₂	—	2	4	no	—
1198	C₂	—	4	2	no	—
1199	C₂	—	4	2	no	—
1200	C₂	—	4	2	no	—
1201	C₂	—	4	2	no	—
1202	C₂	C₄×#518	1	1	yes	characteristic
1203	C₂	C₂×#2873	1	1	yes	characteristic
1204	C₂	C₄×#568	1	1	yes	characteristic
1205	C₂	#60314	1	2	yes	—
1206	C₂	#60324	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. #20551	C₂	semidirect
13. #20549	C₂	semidirect
14. #20529	C₂	semidirect
15. #20527	C₂	semidirect
16. #20525	C₂	semidirect
17. #20524	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. #20480	C₂	semidirect
27. #20477	C₂	semidirect
28. #20389	C₂	semidirect
29. C₂²⋊C₄×M₁₆	C₂	semidirect
30. #20386	C₂	semidirect
31. C₂×#1753	C₂	semidirect
35. #2973	C₄	semidirect
36. D₄×M₁₆	C₄	semidirect
62. C₂×#405	C₂²	semidirect
63. C₂×#405	C₂²	semidirect
64. C₂×#405	C₂²	semidirect
65. C₂×#405	C₂²	semidirect
67. C₂×C₄×M₁₆	C₂²	semidirect
68. C₂×C₄×M₁₆	C₂²	semidirect
69. C₂²×#97	C₂²	semidirect
70. 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
133. #1753	C₂²	semidirect
134. #1753	C₂²	semidirect
135. #1753	C₂²	semidirect
136. #1753	C₂²	semidirect
137. #1753	C₂²	semidirect
138. #1753	C₂²	semidirect
139. #1753	C₂²	semidirect
140. #1753	C₂²	semidirect
141. #1753	C₂²	semidirect
142. #1753	C₂²	semidirect
143. #1753	C₂²	semidirect
144. #1753	C₂²	semidirect
145. #1753	C₂²	semidirect
146. #1753	C₂²	semidirect
147. #1753	C₂²	semidirect
148. #1753	C₂²	semidirect
149. #1752	C₂²	semidirect
150. #1752	C₂²	semidirect
151. #1752	C₂²	semidirect
152. #1752	C₂²	semidirect
153. #1752	C₂²	semidirect
154. #1752	C₂²	semidirect
155. #1752	C₂²	semidirect
156. #1752	C₂²	semidirect
157. C₈×C₂²⋊C₄	C₂²	semidirect
158. C₈×C₂²⋊C₄	C₂²	semidirect
159. C₈×C₂²⋊C₄	C₂²	semidirect
160. C₈×C₂²⋊C₄	C₂²	semidirect
161. C₈×C₂²⋊C₄	C₂²	semidirect
162. C₈×C₂²⋊C₄	C₂²	semidirect
163. C₈×C₂²⋊C₄	C₂²	semidirect
164. 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
204. C₂²×M₁₆	C₂×C₄	semidirect
205. C₂²×M₁₆	C₂×C₄	semidirect
253. #436	C₂×C₄	semidirect
254. #436	C₂×C₄	semidirect
259. #435	C₂×C₄	semidirect
260. #435	C₂×C₄	semidirect
261. #435	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. C₈×D₄	C₂×C₄	semidirect
268. C₈×D₄	C₂×C₄	semidirect
269. #432	C₂×C₄	semidirect
270. #432	C₂×C₄	semidirect
271. #423	C₂×C₄	semidirect
280. #407	C₂×C₄	semidirect
281. #407	C₂×C₄	semidirect
282. #407	C₂×C₄	semidirect
283. #407	C₂×C₄	semidirect
284. C₂×C₂²⋊C₈	C₂×C₄	semidirect
285. C₂×C₂²⋊C₈	C₂×C₄	semidirect
312. C₄×M₁₆	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×#2973	2
C₂×D₄×M₁₆	2
#34126	2
#20566	2
#20564	2
#20563	2
#20561	2
#20560	2
#20559	2
#20557	2
#20556	2
#20551	2
#20549	2
#20529	2
#20527	2
#20525	2
#20524	2
#20493	2
#20492	2
#20491	2
#20490	2
#20488	2
#20487	2
C₄×#435	2
#20484	2
#20480	2
#20477	2
#20389	2
C₂²⋊C₄×M₁₆	2
#20386	2
C₂×#1753	2