Subgroups — #6385173

Order 512.

1850 conjugacy classes of subgroups.

The subgroup lattice has 1297 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#2962	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#2961	C₂	1	1	yes	maximal, characteristic, complemented
3	#34929	C₂	1	1	yes	maximal, characteristic
4	#23152	C₂	1	1	yes	maximal, characteristic, complemented
5	#23152	C₂	1	1	yes	maximal, characteristic, complemented
6	#23150	C₂	1	1	yes	maximal, characteristic, complemented
7	#22961	C₂	1	1	yes	maximal, characteristic, complemented
8	#22959	C₂	1	1	yes	maximal, characteristic, complemented
9	#22959	C₂	1	1	yes	maximal, characteristic, complemented
10	#22958	C₂	1	1	yes	maximal, characteristic, complemented
11	#22955	C₂	1	1	yes	maximal, characteristic, complemented
12	#22954	C₂	1	1	yes	maximal, characteristic, complemented
13	#22722	C₂	1	1	yes	maximal, characteristic, complemented
14	#22652	C₂	1	1	yes	maximal, characteristic
15	#22652	C₂	1	1	yes	maximal, characteristic
16	#22648	C₂	1	1	yes	maximal, characteristic
17	#22511	C₂	1	1	yes	maximal, characteristic, complemented
18	#22511	C₂	1	1	yes	maximal, characteristic, complemented
19	#21714	C₂	1	1	yes	maximal, characteristic, complemented
20	#21713	C₂	1	1	yes	maximal, characteristic, complemented
21	#21713	C₂	1	1	yes	maximal, characteristic, complemented
22	#21606	C₂	1	1	yes	maximal, characteristic, complemented
23	#21605	C₂	1	1	yes	maximal, characteristic, complemented
24	#21604	C₂	1	1	yes	maximal, characteristic, complemented
25	#21601	C₂	1	1	yes	maximal, characteristic, complemented
26	#21600	C₂	1	1	yes	maximal, characteristic, complemented
27	#21599	C₂	1	1	yes	maximal, characteristic, complemented
28	#20520	C₂	1	1	yes	maximal, characteristic, complemented
29	#20492	C₂	1	1	yes	maximal, characteristic
30	#20491	C₂	1	1	yes	maximal, characteristic
31	#20488	C₂	1	1	yes	maximal, characteristic
32	C₂×#533	C₂²	1	1	yes	characteristic
33	C₂×#533	C₂²	1	1	yes	characteristic
34	#2962	—	2	8	no	—
35	#2961	—	2	8	no	—
36	C₂×#446	C₂²	1	1	yes	characteristic
37	C₂×#446	C₂²	1	1	yes	characteristic
38	C₂×#446	C₂²	1	1	yes	characteristic
39	C₂×#446	C₂²	1	1	yes	characteristic
40	C₂×#446	C₂²	1	1	yes	characteristic
41	C₂×#446	C₂²	1	1	yes	characteristic
42	C₂×#446	C₂²	1	1	yes	characteristic
43	C₂×#446	C₂²	1	1	yes	characteristic
44	C₂×#446	C₂²	1	1	yes	characteristic
45	C₂×#446	C₂²	1	1	yes	characteristic
46	C₂×#446	C₂²	1	1	yes	characteristic
47	C₂×#446	C₂²	1	1	yes	characteristic
48	C₂×#446	C₂²	1	1	yes	characteristic
49	C₂×#446	C₂²	1	1	yes	characteristic
50	C₂×C₈×Q₈	C₂²	1	1	yes	characteristic
51	C₂×C₈×Q₈	C₂²	1	1	yes	characteristic
52	C₂×#435	C₂²	1	1	yes	characteristic
53	C₂×#435	C₂²	1	1	yes	characteristic
54	C₂×#435	C₂²	1	1	yes	characteristic
55	C₂×#435	C₂²	1	1	yes	characteristic
56	C₂×#424	C₂²	1	1	yes	characteristic
57	C₂×#424	C₂²	1	1	yes	characteristic
58	C₂×#424	C₂²	1	1	yes	characteristic
59	C₂×#424	C₂²	1	1	yes	characteristic
60	C₂×#423	C₂²	1	1	yes	characteristic
61	C₂²×C₄⋊C₈	C₂²	1	1	yes	characteristic
62	C₂×#405	C₂²	1	1	yes	characteristic
63	C₂×#405	C₂²	1	1	yes	characteristic
64	C₂×#405	C₂²	1	1	yes	characteristic
65	C₂×#405	C₂²	1	1	yes	characteristic
66	C₂×C₄×M₁₆	C₂²	1	1	yes	characteristic
67	C₂²×#97	C₂²	1	1	yes	characteristic
68	#2556	C₄	1	1	yes	characteristic
69	#2556	C₄	1	1	yes	characteristic
70	#2556	C₄	1	1	yes	characteristic
71	#2556	C₄	1	1	yes	characteristic
72	#2551	C₄	1	1	yes	characteristic
73	#2546	C₄	1	1	yes	characteristic
74	#2542	C₄	1	1	yes	characteristic
75	#2538	C₄	1	1	yes	characteristic
76	#2506	C₄	1	1	yes	characteristic
77	#2506	C₄	1	1	yes	characteristic
78	#2492	C₄	1	1	yes	characteristic
79	#2492	C₄	1	1	yes	characteristic
80	#2452	C₄	1	1	yes	characteristic
81	#2452	C₄	1	1	yes	characteristic
82	#2429	C₄	1	1	yes	characteristic
83	#2429	C₄	1	1	yes	characteristic
84	#2396	C₂²	1	1	yes	characteristic
85	#2396	C₂²	1	1	yes	characteristic
86	#2396	C₂²	1	1	yes	characteristic
87	#2396	C₂²	1	1	yes	characteristic
88	C₄×C₄⋊Q₈	C₂²	1	1	yes	characteristic
89	C₄×C₄⋊Q₈	C₂²	1	1	yes	characteristic
90	C₄×C₄⋊Q₈	C₂²	1	1	yes	characteristic
91	C₄×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
92	C₄×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
93	#2293	C₂²	1	1	yes	characteristic
94	#2293	C₂²	1	1	yes	characteristic
95	C₄²×Q₈	C₂²	1	1	yes	characteristic
96	C₄²×D₄	C₂²	1	1	yes	characteristic
97	#1985	C₂²	1	1	yes	characteristic
98	#1985	C₂²	1	1	yes	characteristic
99	#1985	C₂²	1	1	yes	characteristic
100	#1985	C₂²	1	1	yes	characteristic
101	#1985	C₂²	1	1	yes	characteristic
102	#1985	C₂²	1	1	yes	characteristic
103	#1985	C₂²	1	1	yes	characteristic
104	#1985	C₂²	1	1	yes	characteristic
105	#1984	C₂²	1	1	yes	characteristic
106	#1984	C₂²	1	1	yes	characteristic
107	#1984	C₂²	1	1	yes	characteristic
108	#1984	C₂²	1	1	yes	characteristic
109	#1940	C₂²	1	1	yes	characteristic
110	#1940	C₂²	1	1	yes	characteristic
111	#1940	C₂²	1	1	yes	characteristic
112	#1940	C₂²	1	1	yes	characteristic
113	#1940	C₂²	1	1	yes	characteristic
114	#1940	C₂²	1	1	yes	characteristic
115	#1940	C₂²	1	1	yes	characteristic
116	#1940	C₂²	1	1	yes	characteristic
117	#1940	C₂²	1	1	yes	characteristic
118	#1940	C₂²	1	1	yes	characteristic
119	#1940	C₂²	1	1	yes	characteristic
120	#1940	C₂²	1	1	yes	characteristic
121	#1939	C₂²	1	1	yes	characteristic
122	#1939	C₂²	1	1	yes	characteristic
123	#1939	C₂²	1	1	yes	characteristic
124	#1939	C₂²	1	1	yes	characteristic
125	#1939	C₂²	1	1	yes	characteristic
126	#1939	C₂²	1	1	yes	characteristic
127	#1917	C₂²	1	1	yes	characteristic
128	#1917	C₂²	1	1	yes	characteristic
129	#1917	C₂²	1	1	yes	characteristic
130	#1917	C₂²	1	1	yes	characteristic
131	#1917	C₂²	1	1	yes	characteristic
132	#1917	C₂²	1	1	yes	characteristic
133	#1916	C₂²	1	1	yes	characteristic
134	#1916	C₂²	1	1	yes	characteristic
135	#1916	C₂²	1	1	yes	characteristic
136	#1916	C₂²	1	1	yes	characteristic
137	#1916	C₂²	1	1	yes	characteristic
138	#1916	C₂²	1	1	yes	characteristic
139	#1851	C₂²	1	1	yes	characteristic
140	#1851	C₂²	1	1	yes	characteristic
141	#1851	C₂²	1	1	yes	characteristic
142	#1851	C₂²	1	1	yes	characteristic
143	#1851	C₂²	1	1	yes	characteristic
144	#1851	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	#1850	C₂²	1	1	yes	characteristic
150	#1850	C₂²	1	1	yes	characteristic
151	#1842	C₂²	1	1	yes	characteristic
152	#1842	C₂²	1	1	yes	characteristic
153	#1842	C₂²	1	1	yes	characteristic
154	#1798	C₂²	1	1	yes	characteristic
155	#1798	C₂²	1	1	yes	characteristic
156	#1798	C₂²	1	1	yes	characteristic
157	#1798	C₂²	1	1	yes	characteristic
158	#1797	C₂²	1	1	yes	characteristic
159	#1797	C₂²	1	1	yes	characteristic
160	#1771	C₂²	1	1	yes	characteristic
161	#1771	C₂²	1	1	yes	characteristic
162	#1771	C₂²	1	1	yes	characteristic
163	#1771	C₂²	1	1	yes	characteristic
164	#1771	C₂²	1	1	yes	characteristic
165	#1771	C₂²	1	1	yes	characteristic
166	#1771	C₂²	1	1	yes	characteristic
167	#1771	C₂²	1	1	yes	characteristic
168	#1771	C₂²	1	1	yes	characteristic
169	#1771	C₂²	1	1	yes	characteristic
170	#1771	C₂²	1	1	yes	characteristic
171	#1771	C₂²	1	1	yes	characteristic
172	#1770	C₂²	1	1	yes	characteristic
173	#1770	C₂²	1	1	yes	characteristic
174	C₈×C₄⋊C₄	C₂²	1	1	yes	characteristic
175	C₈×C₄⋊C₄	C₂²	1	1	yes	characteristic
176	C₈×C₄⋊C₄	C₂²	1	1	yes	characteristic
177	C₈×C₄⋊C₄	C₂²	1	1	yes	characteristic
178	#1767	C₂²	1	1	yes	characteristic
179	#1767	C₂²	1	1	yes	characteristic
180	#1767	C₂²	1	1	yes	characteristic
181	#1767	C₂²	1	1	yes	characteristic
182	#1767	C₂²	1	1	yes	characteristic
183	C₄×C₄⋊C₈	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
187	#1753	C₂²	1	1	yes	characteristic
188	#1753	C₂²	1	1	yes	characteristic
189	#1753	C₂²	1	1	yes	characteristic
190	#1752	C₂²	1	1	yes	characteristic
191	#1752	C₂²	1	1	yes	characteristic
192	C₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic
193	C₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic
194	C₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic
195	C₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic
196	#1750	C₂²	1	1	yes	characteristic
197	#1750	C₂²	1	1	yes	characteristic
198	#1750	C₂²	1	1	yes	characteristic
199	#1750	C₂²	1	1	yes	characteristic
200	#1749	C₂²	1	1	yes	characteristic
201	#1749	C₂²	1	1	yes	characteristic
202	C₄×#97	C₂²	1	1	yes	characteristic
203	C₄×#97	C₂²	1	1	yes	characteristic
204	C₄×#97	C₂²	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	C₂²×M₁₆	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	#533	—	2	4	no	—
214	#533	—	2	4	no	—
215	#533	—	2	4	no	—
216	#533	—	2	4	no	—
217	C₂×C₄⋊Q₈	C₂×C₄	1	1	yes	characteristic
218	C₂×C₄⋊Q₈	C₂×C₄	1	1	yes	characteristic
219	C₂×C₄⋊Q₈	C₂×C₄	1	1	yes	characteristic
220	C₂×C₄⋊Q₈	C₂×C₄	1	1	yes	characteristic
221	C₂×C₄⋊Q₈	C₂×C₄	1	1	yes	characteristic
222	C₂×C₄⋊Q₈	C₂×C₄	1	1	yes	characteristic
223	C₂×C₄⋊Q₈	C₂×C₄	1	1	yes	characteristic
224	C₂×#125	C₂×C₄	1	1	yes	characteristic
225	C₂×#125	C₂×C₄	1	1	yes	characteristic
226	C₂×#125	C₂×C₄	1	1	yes	characteristic
227	C₂×#125	C₂×C₄	1	1	yes	characteristic
228	C₂×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
229	C₂×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
230	C₂×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
231	C₂×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
232	C₂×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
233	C₂×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
234	C₂×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
235	C₂×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
236	C₂×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
237	C₂×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
238	C₂×C₄×Q₈	C₂×C₄	1	1	yes	characteristic
239	C₂×C₄×Q₈	C₂×C₄	1	1	yes	characteristic
240	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
241	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
242	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
243	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
244	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
245	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
246	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
247	C₂×C₄×D₄	C₂×C₄	1	1	yes	characteristic
248	C₂×C₄×D₄	C₂×C₄	1	1	yes	characteristic
249	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
250	C₂×#117	C₂³	1	1	yes	characteristic
251	C₂×#117	C₂³	1	1	yes	characteristic
252	C₂×#117	C₂³	1	1	yes	characteristic
253	C₂×#117	C₂³	1	1	yes	characteristic
254	C₂²×C₄²	C₂³	1	1	yes	characteristic
255	C₂²×C₄²	C₂³	1	1	yes	characteristic
256	#446	—	2	4	no	—
257	#446	—	2	4	no	—
258	#446	—	2	4	no	—
259	#446	—	2	4	no	—
260	#446	—	2	4	no	—
261	#446	—	2	4	no	—
262	#446	—	2	4	no	—
263	#446	—	2	4	no	—
264	#446	—	2	4	no	—
265	#446	—	2	4	no	—
266	#446	—	2	4	no	—
267	#446	—	2	4	no	—
268	#446	—	2	4	no	—
269	#446	D₄	1	8	yes	complemented
270	C₈×Q₈	—	2	4	no	—
271	C₈×Q₈	—	2	4	no	—
272	#435	—	2	4	no	—
273	#435	—	2	4	no	—
274	#435	—	2	4	no	—
275	#435	Q₈	1	8	yes	complemented
276	#424	—	2	4	no	—
277	#424	—	2	4	no	—
278	#424	—	2	4	no	—
279	#424	—	2	4	no	—
280	#423	—	2	4	no	—
281	C₂×C₄⋊C₈	—	2	4	no	—
282	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
283	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
284	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
285	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
286	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
287	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
288	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
289	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
290	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
291	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
292	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
293	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
294	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
295	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
296	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
297	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
298	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
299	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
300	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
301	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
302	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
303	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
304	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
305	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
306	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
307	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
308	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
309	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
310	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
311	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
312	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
313	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
314	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
315	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
316	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
317	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
318	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
319	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
320	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
321	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
322	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
323	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
324	#405	—	2	4	no	—
325	#405	—	2	4	no	—
326	#405	—	2	4	no	—
327	#405	—	2	4	no	—
328	C₄×M₁₆	—	2	4	no	—
329	C₂×#97	—	2	4	no	—
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×#97	C₂³	1	1	yes	characteristic
346	C₂×#97	C₂³	1	1	yes	characteristic
347	C₂×#97	C₂³	1	1	yes	characteristic
348	C₂×#97	C₂³	1	1	yes	characteristic
349	C₂×#97	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	#400	C₂×C₄	1	1	yes	characteristic
365	#400	C₂×C₄	1	1	yes	characteristic
366	#400	C₂×C₄	1	1	yes	characteristic
367	#400	C₂×C₄	1	1	yes	characteristic
368	#399	C₂×C₄	1	1	yes	characteristic
369	#399	C₂×C₄	1	1	yes	characteristic
370	#399	C₂×C₄	1	1	yes	characteristic
371	#399	C₂×C₄	1	1	yes	characteristic
372	#398	C₂×C₄	1	1	yes	characteristic
373	#398	C₂×C₄	1	1	yes	characteristic
374	#398	C₂×C₄	1	1	yes	characteristic
375	#398	C₂×C₄	1	1	yes	characteristic
376	#398	C₂×C₄	1	1	yes	characteristic
377	#398	C₂×C₄	1	1	yes	characteristic
378	#398	C₂×C₄	1	1	yes	characteristic
379	#398	C₂×C₄	1	1	yes	characteristic
380	#396	C₂×C₄	1	1	yes	characteristic
381	#396	C₂×C₄	1	1	yes	characteristic
382	#396	C₂×C₄	1	1	yes	characteristic
383	#396	C₂×C₄	1	1	yes	characteristic
384	#396	C₂×C₄	1	1	yes	characteristic
385	#396	C₂×C₄	1	1	yes	characteristic
386	#396	C₂×C₄	1	1	yes	characteristic
387	#396	C₂×C₄	1	1	yes	characteristic
388	#395	C₂×C₄	1	1	yes	characteristic
389	#395	C₂×C₄	1	1	yes	characteristic
390	#395	C₂×C₄	1	1	yes	characteristic
391	#395	C₂×C₄	1	1	yes	characteristic
392	#393	C₂×C₄	1	1	yes	characteristic
393	#393	C₂×C₄	1	1	yes	characteristic
394	#393	C₂×C₄	1	1	yes	characteristic
395	#393	C₂×C₄	1	1	yes	characteristic
396	#391	C₂×C₄	1	1	yes	characteristic
397	#391	C₂×C₄	1	1	yes	characteristic
398	#391	C₂×C₄	1	1	yes	characteristic
399	#391	C₂×C₄	1	1	yes	characteristic
400	#391	C₂×C₄	1	1	yes	characteristic
401	#391	C₂×C₄	1	1	yes	characteristic
402	#391	C₂×C₄	1	1	yes	characteristic
403	#391	C₂×C₄	1	1	yes	characteristic
404	#390	C₂×C₄	1	1	yes	characteristic
405	#390	C₂×C₄	1	1	yes	characteristic
406	#390	C₂×C₄	1	1	yes	characteristic
407	#390	C₂×C₄	1	1	yes	characteristic
408	#389	C₂×C₄	1	1	yes	characteristic
409	#389	C₂×C₄	1	1	yes	characteristic
410	#389	C₂×C₄	1	1	yes	characteristic
411	#389	C₂×C₄	1	1	yes	characteristic
412	#389	C₂×C₄	1	1	yes	characteristic
413	#389	C₂×C₄	1	1	yes	characteristic
414	#389	C₂×C₄	1	1	yes	characteristic
415	#389	C₂×C₄	1	1	yes	characteristic
416	#389	C₂×C₄	1	1	yes	characteristic
417	#389	C₂×C₄	1	1	yes	characteristic
418	#389	C₂×C₄	1	1	yes	characteristic
419	#389	C₂×C₄	1	1	yes	characteristic
420	#389	C₂×C₄	1	1	yes	characteristic
421	#389	C₂×C₄	1	1	yes	characteristic
422	#389	C₂×C₄	1	1	yes	characteristic
423	#389	C₂×C₄	1	1	yes	characteristic
424	#389	C₂×C₄	1	1	yes	characteristic
425	#389	C₂×C₄	1	1	yes	characteristic
426	#388	C₂×C₄	1	1	yes	characteristic
427	#388	C₂×C₄	1	1	yes	characteristic
428	#388	C₂×C₄	1	1	yes	characteristic
429	#388	C₂×C₄	1	1	yes	characteristic
430	#388	C₂×C₄	1	1	yes	characteristic
431	#388	C₂×C₄	1	1	yes	characteristic
432	#388	C₂×C₄	1	1	yes	characteristic
433	#388	C₂×C₄	1	1	yes	characteristic
434	#387	C₂×C₄	1	1	yes	characteristic
435	#387	C₂×C₄	1	1	yes	characteristic
436	#387	C₂×C₄	1	1	yes	characteristic
437	#387	C₂×C₄	1	1	yes	characteristic
438	#385	C₂×C₄	1	1	yes	characteristic
439	#385	C₂×C₄	1	1	yes	characteristic
440	#385	C₂×C₄	1	1	yes	characteristic
441	#385	C₂×C₄	1	1	yes	characteristic
442	#384	C₂×C₄	1	1	yes	characteristic
443	#384	C₂×C₄	1	1	yes	characteristic
444	#384	C₂×C₄	1	1	yes	characteristic
445	#380	C₂×C₄	1	1	yes	characteristic
446	#380	C₂×C₄	1	1	yes	characteristic
447	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
448	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
449	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
450	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
451	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
452	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
453	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
454	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
455	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
456	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
457	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
458	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
459	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
460	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
461	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
462	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
463	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
464	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
465	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
466	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
467	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
468	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
469	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
470	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
471	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
472	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
473	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
474	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
475	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
476	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
477	C₄³	C₂³	1	1	yes	characteristic
478	C₄³	C₂³	1	1	yes	characteristic
479	C₄³	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	#336	C₂³	1	1	yes	characteristic
498	#336	C₂³	1	1	yes	characteristic
499	#336	C₂³	1	1	yes	characteristic
500	#336	C₂³	1	1	yes	characteristic
501	#336	C₂³	1	1	yes	characteristic
502	#336	C₂³	1	1	yes	characteristic
503	#336	C₂³	1	1	yes	characteristic
504	#336	C₂³	1	1	yes	characteristic
505	#336	C₂³	1	1	yes	characteristic
506	#336	C₂³	1	1	yes	characteristic
507	#336	C₂³	1	1	yes	characteristic
508	#336	C₂³	1	1	yes	characteristic
509	#336	C₂³	1	1	yes	characteristic
510	#336	C₂³	1	1	yes	characteristic
511	#336	C₂³	1	1	yes	characteristic
512	#336	C₂³	1	1	yes	characteristic
513	#336	C₂³	1	1	yes	characteristic
514	#336	C₂³	1	1	yes	characteristic
515	#336	C₂³	1	1	yes	characteristic
516	C₂²×Q₈	C₂²×C₄	1	1	yes	characteristic
517	C₂²×Q₈	C₂²×C₄	1	1	yes	characteristic
518	C₂²×Q₈	C₂²×C₄	1	1	yes	characteristic
519	C₂²×Q₈	C₂²×C₄	1	1	yes	characteristic
520	C₂²×Q₈	C₂²×C₄	1	1	yes	characteristic
521	C₂²×Q₈	C₂²×C₄	1	1	yes	characteristic
522	C₂²×Q₈	C₂²×C₄	1	1	yes	characteristic
523	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
524	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
525	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
526	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
527	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
528	C₂³×C₄	C₂⁴	1	1	yes	characteristic
529	C₂³×C₄	C₂⁴	1	1	yes	characteristic
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	—	2	2	no	—
535	C₂×M₁₆	—	2	2	no	—
536	C₂×M₁₆	—	2	2	no	—
537	C₂×M₁₆	—	2	2	no	—
538	C₂×M₁₆	—	4	1	no	—
539	C₂×M₁₆	—	4	1	no	—
540	C₂×M₁₆	—	4	1	no	—
541	C₂×M₁₆	C₂×Q₈	1	4	yes	—
542	C₂²×C₈	—	2	2	no	—
543	C₂²×C₈	—	2	2	no	—
544	C₂²×C₈	—	2	2	no	—
545	C₂²×C₈	—	2	2	no	—
546	C₂²×C₈	—	2	2	no	—
547	C₂²×C₈	—	2	2	no	—
548	C₂²×C₈	—	2	2	no	—
549	C₂²×C₈	—	2	2	no	—
550	C₂²×C₈	—	4	1	no	—
551	C₂²×C₈	—	4	1	no	—
552	C₂²×C₈	—	4	1	no	—
553	C₂²×C₈	C₂×Q₈	1	4	yes	—
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	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	C₄⋊Q₈	—	2	4	no	—
571	C₄⋊Q₈	—	2	4	no	—
572	C₄⋊Q₈	—	2	4	no	—
573	C₄⋊Q₈	—	2	4	no	—
574	C₄⋊Q₈	—	4	2	no	—
575	C₄⋊Q₈	—	4	2	no	—
576	C₄⋊Q₈	—	4	2	no	—
577	#125	—	2	4	no	—
578	#125	—	2	4	no	—
579	#125	—	2	4	no	—
580	#125	—	2	4	no	—
581	C₂²⋊Q₈	—	2	4	no	—
582	C₂²⋊Q₈	—	2	4	no	—
583	C₂²⋊Q₈	—	2	4	no	—
584	C₂²⋊Q₈	—	2	4	no	—
585	C₂²⋊Q₈	—	2	4	no	—
586	C₂²⋊Q₈	—	2	4	no	—
587	C₂²⋊Q₈	—	2	4	no	—
588	C₂²⋊Q₈	—	2	4	no	—
589	C₂²⋊Q₈	—	4	2	no	—
590	C₂²⋊Q₈	—	4	2	no	—
591	C₄×Q₈	—	2	2	no	—
592	C₄×Q₈	—	2	2	no	—
593	C₄×Q₈	—	2	2	no	—
594	C₄×Q₈	—	2	2	no	—
595	C₄×Q₈	—	2	2	no	—
596	C₄×Q₈	—	2	2	no	—
597	C₄×Q₈	—	2	2	no	—
598	C₄×Q₈	—	2	2	no	—
599	C₄×Q₈	—	2	2	no	—
600	C₄×Q₈	—	2	2	no	—
601	C₄×Q₈	—	2	2	no	—
602	C₄×Q₈	—	2	2	no	—
603	C₄×Q₈	—	4	2	no	—
604	C₄×Q₈	—	4	2	no	—
605	C₄×Q₈	C₂×D₄	1	4	yes	—
606	C₄×Q₈	#41	1	4	yes	—
607	C₄×D₄	—	4	2	no	—
608	C₄×D₄	—	4	2	no	—
609	C₄×D₄	C₂×Q₈	1	4	yes	—
610	C₄×D₄	#41	1	4	yes	—
611	#117	—	2	2	no	—
612	#117	—	2	2	no	—
613	#117	—	2	2	no	—
614	#117	—	2	2	no	—
615	#117	—	2	2	no	—
616	#117	—	2	2	no	—
617	#117	—	2	2	no	—
618	#117	—	2	2	no	—
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×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
626	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
627	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
628	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
629	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
630	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
631	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
632	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
633	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
634	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
635	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
636	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
637	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
638	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
639	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
640	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
641	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
642	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
643	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
644	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
645	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
646	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
647	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
648	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
649	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
650	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
651	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
652	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
653	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
654	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
655	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
656	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
657	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
658	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
659	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
660	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
661	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
662	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
663	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
664	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
665	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
666	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
667	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
668	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
669	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
670	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
671	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
672	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
673	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
674	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
675	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
676	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
677	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
678	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
679	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
680	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
681	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
682	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
683	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
684	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
685	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
686	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
687	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
688	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
689	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
690	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
691	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
692	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
693	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
694	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
695	C₂×C₄²	—	2	2	no	—
696	C₂×C₄²	—	2	2	no	—
697	C₂×C₄²	—	2	2	no	—
698	C₂×C₄²	—	2	2	no	—
699	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
700	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
701	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
702	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
703	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
704	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
705	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
706	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
707	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
708	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
709	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
710	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
711	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
712	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
713	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
714	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
715	C₂×C₄²	C₂⁴	1	1	yes	characteristic
716	C₂×C₄²	C₂⁴	1	1	yes	characteristic
717	C₂×C₄²	C₂⁴	1	1	yes	characteristic
718	C₂×C₄²	C₂⁴	1	1	yes	characteristic
719	C₂×C₄²	C₂⁴	1	1	yes	characteristic
720	C₂×C₄²	C₂⁴	1	1	yes	characteristic
721	C₂×C₄²	C₂⁴	1	1	yes	characteristic
722	C₂×C₄²	C₂⁴	1	1	yes	characteristic
723	C₂×C₄²	C₂⁴	1	1	yes	characteristic
724	C₂×C₄²	C₂⁴	1	1	yes	characteristic
725	C₂×C₄²	C₂⁴	1	1	yes	characteristic
726	C₂×C₄²	C₂⁴	1	1	yes	characteristic
727	C₂×C₄²	C₂⁴	1	1	yes	characteristic
728	C₄⋊C₈	—	2	2	no	—
729	C₄⋊C₈	—	2	2	no	—
730	C₄⋊C₈	—	2	2	no	—
731	C₄⋊C₈	—	2	2	no	—
732	C₄⋊C₈	—	2	2	no	—
733	C₄⋊C₈	—	2	2	no	—
734	C₄⋊C₈	—	2	2	no	—
735	C₄⋊C₈	—	2	2	no	—
736	C₄⋊C₈	—	2	2	no	—
737	C₄⋊C₈	—	2	2	no	—
738	C₄⋊C₈	—	2	2	no	—
739	C₄⋊C₈	—	2	2	no	—
740	C₄⋊C₈	—	2	2	no	—
741	C₄⋊C₈	—	2	2	no	—
742	C₄⋊C₈	—	2	2	no	—
743	C₄⋊C₈	—	2	2	no	—
744	C₄⋊C₈	—	2	2	no	—
745	C₄⋊C₈	—	2	2	no	—
746	C₄⋊C₈	—	2	2	no	—
747	C₄⋊C₈	—	2	2	no	—
748	C₄⋊C₈	—	2	2	no	—
749	C₄⋊C₈	—	2	2	no	—
750	C₄⋊C₈	—	2	2	no	—
751	C₄⋊C₈	—	2	2	no	—
752	C₄⋊C₈	—	4	1	no	—
753	C₄⋊C₈	—	4	1	no	—
754	C₄⋊C₈	—	4	1	no	—
755	C₄⋊C₈	—	4	1	no	—
756	C₄⋊C₈	—	4	1	no	—
757	C₄⋊C₈	—	4	1	no	—
758	C₄⋊C₈	C₂×D₄	1	4	yes	—
759	C₄⋊C₈	C₂×D₄	1	4	yes	—
760	C₄⋊C₈	C₂×D₄	1	4	yes	—
761	C₄⋊C₈	C₂×Q₈	1	4	yes	—
762	C₂²⋊C₈	—	2	2	no	—
763	C₂²⋊C₈	—	2	2	no	—
764	C₂²⋊C₈	—	2	2	no	—
765	C₂²⋊C₈	—	2	2	no	—
766	C₂²⋊C₈	—	2	2	no	—
767	C₂²⋊C₈	—	2	2	no	—
768	C₂²⋊C₈	C₂×Q₈	1	4	yes	—
769	C₂²⋊C₈	C₂×Q₈	1	4	yes	—
770	#97	—	2	2	no	—
771	#97	—	2	2	no	—
772	#97	—	2	2	no	—
773	#97	—	2	2	no	—
774	#97	—	2	2	no	—
775	#97	—	2	2	no	—
776	#97	—	2	2	no	—
777	#97	—	2	2	no	—
778	#97	—	2	2	no	—
779	#97	—	2	2	no	—
780	#97	—	2	2	no	—
781	#97	—	2	2	no	—
782	#97	—	2	2	no	—
783	#97	—	2	2	no	—
784	#97	—	2	2	no	—
785	#97	—	2	2	no	—
786	#97	—	4	1	no	—
787	#97	C₂×D₄	1	4	yes	—
788	#97	C₂×D₄	1	4	yes	—
789	#97	C₂×Q₈	1	4	yes	—
790	C₄×C₈	—	2	2	no	—
791	C₄×C₈	—	2	2	no	—
792	C₄×C₈	—	2	2	no	—
793	C₄×C₈	—	2	2	no	—
794	C₄×C₈	—	2	2	no	—
795	C₄×C₈	—	2	2	no	—
796	C₄×C₈	—	2	2	no	—
797	C₄×C₈	—	2	2	no	—
798	C₄×C₈	—	2	2	no	—
799	C₄×C₈	—	2	2	no	—
800	C₄×C₈	—	2	2	no	—
801	C₄×C₈	—	4	1	no	—
802	C₄×C₈	—	4	1	no	—
803	C₄×C₈	C₂×D₄	1	4	yes	—
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	#95	C₂²×C₄	1	1	yes	characteristic
815	#95	C₂²×C₄	1	1	yes	characteristic
816	#95	C₂²×C₄	1	1	yes	characteristic
817	#95	C₂²×C₄	1	1	yes	characteristic
818	#95	C₂²×C₄	1	1	yes	characteristic
819	#95	C₂²×C₄	1	1	yes	characteristic
820	#95	C₂²×C₄	1	1	yes	characteristic
821	#95	C₂²×C₄	1	1	yes	characteristic
822	#95	C₂²×C₄	1	1	yes	characteristic
823	#95	C₂²×C₄	1	1	yes	characteristic
824	#95	C₂²×C₄	1	1	yes	characteristic
825	#95	C₂²×C₄	1	1	yes	characteristic
826	#95	C₂²×C₄	1	1	yes	characteristic
827	#95	C₂²×C₄	1	1	yes	characteristic
828	#95	C₂²×C₄	1	1	yes	characteristic
829	#95	C₂²×C₄	1	1	yes	characteristic
830	#95	C₂²×C₄	1	1	yes	characteristic
831	#95	C₂²×C₄	1	1	yes	characteristic
832	#95	C₂²×C₄	1	1	yes	characteristic
833	#95	C₂²×C₄	1	1	yes	characteristic
834	#95	C₂²×C₄	1	1	yes	characteristic
835	#95	C₂²×C₄	1	1	yes	characteristic
836	#95	C₂²×C₄	1	1	yes	characteristic
837	#95	C₂²×C₄	1	1	yes	characteristic
838	#95	C₂²×C₄	1	1	yes	characteristic
839	#95	C₂²×C₄	1	1	yes	characteristic
840	C₂⁴	C₂³×C₄	1	1	yes	characteristic
841	C₂⁴	C₂³×C₄	1	1	yes	characteristic
842	C₂×Q₈	—	2	2	no	—
843	C₂×Q₈	—	2	2	no	—
844	C₂×Q₈	—	2	2	no	—
845	C₂×Q₈	—	2	2	no	—
846	C₂×Q₈	—	2	2	no	—
847	C₂×Q₈	—	2	2	no	—
848	C₂×Q₈	—	2	2	no	—
849	C₂×Q₈	—	2	2	no	—
850	C₂×Q₈	—	4	1	no	—
851	C₂×Q₈	—	4	1	no	—
852	C₂×Q₈	—	4	1	no	—
853	C₂×Q₈	—	4	1	no	—
854	C₂×Q₈	—	4	1	no	—
855	C₂×Q₈	—	4	1	no	—
856	C₂×Q₈	—	4	1	no	—
857	C₂×Q₈	—	4	1	no	—
858	C₂×Q₈	—	4	1	no	—
859	C₂×Q₈	—	4	1	no	—
860	C₂×Q₈	—	4	1	no	—
861	C₂×Q₈	—	4	1	no	—
862	C₂×Q₈	C₄×D₄	1	4	yes	—
863	C₂×D₄	—	4	1	no	—
864	C₂×D₄	—	4	1	no	—
865	C₂×D₄	C₄×Q₈	1	4	yes	—
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	2	no	—
875	C₂²×C₄	—	2	2	no	—
876	C₂²×C₄	—	2	2	no	—
877	C₂²×C₄	—	2	2	no	—
878	C₂²×C₄	—	2	2	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	C₂³×C₄	1	1	yes	characteristic
887	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
888	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
889	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
890	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
891	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
892	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
893	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
894	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
895	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
896	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
897	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
898	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
899	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
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	C₂²×Q₈	1	2	yes	—
915	C₂²×C₄	C₂²×Q₈	1	2	yes	—
916	C₂²×C₄	C₂×#41	1	2	yes	—
917	C₂²×C₄	C₂×#41	1	2	yes	—
918	C₂²×C₄	C₂⁵	1	1	yes	characteristic
919	M₁₆	—	2	8	no	—
920	M₁₆	—	4	4	no	—
921	M₁₆	—	4	4	no	—
922	M₁₆	—	4	4	no	—
923	C₂×C₈	—	2	1	no	—
924	C₂×C₈	—	2	1	no	—
925	C₂×C₈	—	2	1	no	—
926	C₂×C₈	—	2	1	no	—
927	C₂×C₈	—	2	1	no	—
928	C₂×C₈	—	2	1	no	—
929	C₂×C₈	—	2	1	no	—
930	C₂×C₈	—	2	1	no	—
931	C₂×C₈	—	2	1	no	—
932	C₂×C₈	—	2	1	no	—
933	C₂×C₈	—	2	1	no	—
934	C₂×C₈	—	2	1	no	—
935	C₂×C₈	—	2	8	no	—
936	C₂×C₈	—	2	1	no	—
937	C₂×C₈	—	2	1	no	—
938	C₂×C₈	—	2	1	no	—
939	C₂×C₈	—	2	1	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	—	4	4	no	—
964	C₂×C₈	—	4	4	no	—
965	C₂×C₈	—	4	4	no	—
966	C₂×C₈	C₂²×D₄	1	2	yes	—
967	C₂×C₈	C₂²×D₄	1	2	yes	—
968	C₂×C₈	C₂²×D₄	1	2	yes	—
969	C₂×C₈	C₂²×D₄	1	2	yes	—
970	C₂×C₈	C₂²×Q₈	1	2	yes	—
971	C₂×C₈	C₂²×Q₈	1	2	yes	—
972	C₂×C₈	C₂²×Q₈	1	2	yes	—
973	C₂×C₈	C₂²×Q₈	1	2	yes	—
974	C₂×C₈	2₋¹⁺⁴	1	2	yes	—
975	C₄⋊C₄	—	2	2	no	—
976	C₄⋊C₄	—	2	2	no	—
977	C₄⋊C₄	—	2	2	no	—
978	C₄⋊C₄	—	2	2	no	—
979	C₄⋊C₄	—	2	2	no	—
980	C₄⋊C₄	—	2	2	no	—
981	C₄⋊C₄	—	2	2	no	—
982	C₄⋊C₄	—	2	2	no	—
983	C₄⋊C₄	—	2	2	no	—
984	C₄⋊C₄	—	2	2	no	—
985	C₄⋊C₄	—	2	2	no	—
986	C₄⋊C₄	—	2	2	no	—
987	C₄⋊C₄	—	2	2	no	—
988	C₄⋊C₄	—	2	2	no	—
989	C₄⋊C₄	—	2	2	no	—
990	C₄⋊C₄	—	2	2	no	—
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	—	2	2	no	—
1004	C₄⋊C₄	—	2	2	no	—
1005	C₄⋊C₄	—	2	2	no	—
1006	C₄⋊C₄	—	2	2	no	—
1007	C₄⋊C₄	—	2	2	no	—
1008	C₄⋊C₄	—	2	2	no	—
1009	C₄⋊C₄	—	2	2	no	—
1010	C₄⋊C₄	—	2	2	no	—
1011	C₄⋊C₄	—	2	2	no	—
1012	C₄⋊C₄	—	4	1	no	—
1013	C₄⋊C₄	—	4	1	no	—
1014	C₄⋊C₄	—	4	1	no	—
1015	C₄⋊C₄	—	4	1	no	—
1016	C₄⋊C₄	—	4	1	no	—
1017	C₄⋊C₄	—	4	1	no	—
1018	C₄⋊C₄	—	4	1	no	—
1019	C₄⋊C₄	—	4	1	no	—
1020	C₄⋊C₄	—	4	1	no	—
1021	C₄⋊C₄	—	4	1	no	—
1022	C₄⋊C₄	—	4	1	no	—
1023	C₄⋊C₄	—	4	1	no	—
1024	C₄⋊C₄	—	4	1	no	—
1025	C₄⋊C₄	C₄×D₄	1	4	yes	—
1026	C₄⋊C₄	C₄×D₄	1	4	yes	—
1027	C₄⋊C₄	C₄×D₄	1	4	yes	—
1028	C₄⋊C₄	C₄×Q₈	1	4	yes	—
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	—	2	2	no	—
1037	C₂²⋊C₄	—	2	2	no	—
1038	C₂²⋊C₄	—	2	2	no	—
1039	C₂²⋊C₄	—	2	2	no	—
1040	C₂²⋊C₄	—	2	2	no	—
1041	C₂²⋊C₄	—	2	2	no	—
1042	C₂²⋊C₄	—	4	1	no	—
1043	C₂²⋊C₄	—	4	1	no	—
1044	C₂²⋊C₄	—	4	1	no	—
1045	C₂²⋊C₄	—	4	1	no	—
1046	C₂²⋊C₄	—	4	1	no	—
1047	C₂²⋊C₄	—	4	1	no	—
1048	C₂²⋊C₄	—	4	1	no	—
1049	C₂²⋊C₄	C₄×Q₈	1	4	yes	—
1050	C₂²⋊C₄	C₄×Q₈	1	4	yes	—
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	1	no	—
1058	C₄²	—	2	1	no	—
1059	C₄²	—	2	1	no	—
1060	C₄²	—	2	1	no	—
1061	C₄²	—	2	1	no	—
1062	C₄²	—	2	1	no	—
1063	C₄²	—	2	1	no	—
1064	C₄²	—	2	1	no	—
1065	C₄²	—	2	1	no	—
1066	C₄²	—	2	1	no	—
1067	C₄²	—	2	1	no	—
1068	C₄²	—	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	—	4	1	no	—
1076	C₄²	—	4	1	no	—
1077	C₄²	—	4	1	no	—
1078	C₄²	—	4	1	no	—
1079	C₄²	—	4	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	C₂²×D₄	1	2	yes	—
1086	C₄²	C₂²×D₄	1	2	yes	—
1087	C₄²	C₂²×D₄	1	2	yes	—
1088	C₄²	C₂²×Q₈	1	2	yes	—
1089	C₄²	C₂×#41	1	2	yes	—
1090	C₄²	C₂×#41	1	2	yes	—
1091	C₄²	C₂×#41	1	2	yes	—
1092	C₄²	C₂×#41	1	2	yes	—
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	C₂×C₄×Q₈	1	2	yes	—
1106	C₂³	C₂×C₄×Q₈	1	2	yes	—
1107	C₂³	C₂⁴×C₄	1	1	yes	characteristic
1108	Q₈	—	4	4	no	—
1109	Q₈	—	4	4	no	—
1110	Q₈	—	4	4	no	—
1111	Q₈	—	8	2	no	—
1112	Q₈	—	8	2	no	—
1113	Q₈	—	8	2	no	—
1114	Q₈	—	8	2	no	—
1115	D₄	—	4	4	no	—
1116	C₂×C₄	—	2	1	no	—
1117	C₂×C₄	—	2	1	no	—
1118	C₂×C₄	—	2	1	no	—
1119	C₂×C₄	—	2	1	no	—
1120	C₂×C₄	—	2	1	no	—
1121	C₂×C₄	—	2	1	no	—
1122	C₂×C₄	—	2	1	no	—
1123	C₂×C₄	—	2	1	no	—
1124	C₂×C₄	—	2	1	no	—
1125	C₂×C₄	—	2	1	no	—
1126	C₂×C₄	—	2	1	no	—
1127	C₂×C₄	—	2	1	no	—
1128	C₂×C₄	—	2	1	no	—
1129	C₂×C₄	—	2	1	no	—
1130	C₂×C₄	—	2	1	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	2	no	—
1143	C₂×C₄	—	2	2	no	—
1144	C₂×C₄	—	2	2	no	—
1145	C₂×C₄	—	2	2	no	—
1146	C₂×C₄	—	2	2	no	—
1147	C₂×C₄	—	2	2	no	—
1148	C₂×C₄	—	2	2	no	—
1149	C₂×C₄	—	2	2	no	—
1150	C₂×C₄	—	2	1	no	—
1151	C₂×C₄	—	2	1	no	—
1152	C₂×C₄	—	2	1	no	—
1153	C₂×C₄	—	2	1	no	—
1154	C₂×C₄	—	2	1	no	—
1155	C₂×C₄	—	2	1	no	—
1156	C₂×C₄	—	2	1	no	—
1157	C₂×C₄	—	2	1	no	—
1158	C₂×C₄	—	2	1	no	—
1159	C₂×C₄	—	2	1	no	—
1160	C₂×C₄	—	2	1	no	—
1161	C₂×C₄	—	2	1	no	—
1162	C₂×C₄	—	2	1	no	—
1163	C₂×C₄	—	2	1	no	—
1164	C₂×C₄	—	2	1	no	—
1165	C₂×C₄	—	2	1	no	—
1166	C₂×C₄	—	2	1	no	—
1167	C₂×C₄	—	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	—	4	4	no	—
1196	C₂×C₄	—	8	2	no	—
1197	C₂×C₄	—	8	2	no	—
1198	C₂×C₄	—	8	2	no	—
1199	C₂×C₄	C₂×C₄×D₄	1	2	yes	—
1200	C₂×C₄	C₂×C₄×D₄	1	2	yes	—
1201	C₂×C₄	C₂×C₄×D₄	1	2	yes	—
1202	C₂×C₄	C₂×C₄×D₄	1	2	yes	—
1203	C₂×C₄	C₂×C₄×D₄	1	2	yes	—
1204	C₂×C₄	C₂×C₄×D₄	1	2	yes	—
1205	C₂×C₄	C₂×C₄×Q₈	1	2	yes	—
1206	C₂×C₄	C₂×C₄×Q₈	1	2	yes	—
1207	C₂×C₄	C₂×C₄×Q₈	1	2	yes	—
1208	C₂×C₄	C₂×C₄×Q₈	1	2	yes	—
1209	C₂×C₄	#568	1	2	yes	—
1210	C₂×C₄	#568	1	2	yes	—
1211	C₂×C₄	#568	1	2	yes	—
1212	C₂×C₄	C₂³×D₄	1	1	yes	characteristic
1213	C₂×C₄	C₂³×Q₈	1	1	yes	characteristic
1214	C₂×C₄	C₂²×#41	1	1	yes	characteristic
1215	C₂×C₄	C₂²×#41	1	1	yes	characteristic
1216	C₂×C₄	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1217	C₂×C₄	#585	1	1	yes	characteristic
1218	C₈	—	2	2	no	—
1219	C₈	—	2	2	no	—
1220	C₈	—	2	2	no	—
1221	C₈	—	2	2	no	—
1222	C₈	—	2	2	no	—
1223	C₈	—	2	2	no	—
1224	C₈	—	4	1	no	—
1225	C₈	—	4	1	no	—
1226	C₈	—	4	1	no	—
1227	C₈	—	4	1	no	—
1228	C₈	—	4	1	no	—
1229	C₈	—	4	1	no	—
1230	C₈	—	4	1	no	—
1231	C₈	—	4	1	no	—
1232	C₈	—	4	1	no	—
1233	C₈	D₄×Q₈	1	4	yes	—
1234	C₂²	—	2	2	no	—
1235	C₂²	—	2	2	no	—
1236	C₂²	—	2	2	no	—
1237	C₂²	—	2	2	no	—
1238	C₂²	—	2	2	no	—
1239	C₂²	—	2	2	no	—
1240	C₂²	—	4	1	no	—
1241	C₂²	—	4	1	no	—
1242	C₂²	—	4	1	no	—
1243	C₂²	—	4	1	no	—
1244	C₂²	—	4	1	no	—
1245	C₂²	—	4	1	no	—
1246	C₂²	—	4	1	no	—
1247	C₂²	—	4	1	no	—
1248	C₂²	C₂²×C₄×D₄	1	1	yes	characteristic
1249	C₂²	C₂²×C₄×Q₈	1	1	yes	characteristic
1250	C₂²	C₄×2₋¹⁺⁴	1	1	yes	characteristic
1251	C₂²	C₂×#568	1	1	yes	characteristic
1252	C₂²	C₂×#568	1	1	yes	characteristic
1253	C₂²	C₂×#568	1	1	yes	characteristic
1254	C₂²	#3573	1	1	yes	characteristic
1255	C₄	—	2	2	no	—
1256	C₄	—	2	2	no	—
1257	C₄	—	2	2	no	—
1258	C₄	—	2	2	no	—
1259	C₄	—	2	2	no	—
1260	C₄	—	2	2	no	—
1261	C₄	—	2	2	no	—
1262	C₄	—	2	2	no	—
1263	C₄	—	2	2	no	—
1264	C₄	—	2	2	no	—
1265	C₄	—	2	2	no	—
1266	C₄	—	2	2	no	—
1267	C₄	—	2	2	no	—
1268	C₄	—	4	1	no	—
1269	C₄	—	4	1	no	—
1270	C₄	—	4	1	no	—
1271	C₄	—	4	1	no	—
1272	C₄	—	4	1	no	—
1273	C₄	—	4	1	no	—
1274	C₄	—	4	1	no	—
1275	C₄	—	4	1	no	—
1276	C₄	—	4	1	no	—
1277	C₄	—	4	1	no	—
1278	C₄	—	4	1	no	—
1279	C₄	—	4	1	no	—
1280	C₄	—	4	1	no	—
1281	C₄	—	4	1	no	—
1282	C₄	—	4	1	no	—
1283	C₄	C₂×D₄×Q₈	1	1	yes	characteristic
1284	C₄	D₄×#41	1	1	yes	characteristic
1285	C₄	Q₈×#41	1	1	yes	characteristic
1286	C₄	#3482	1	1	yes	characteristic
1287	C₂	—	4	2	no	—
1288	C₂	—	4	2	no	—
1289	C₂	C₄×D₄×Q₈	1	1	yes	characteristic
1290	C₂	#60144	1	1	yes	characteristic
1291	C₂	#60146	1	1	yes	characteristic
1292	C₂	#60192	1	1	yes	characteristic
1293	C₂	#60195	1	1	yes	characteristic
1294	C₂	#60340	1	1	yes	characteristic
1295	C₂	#60342	1	1	yes	characteristic

	subgroup	G/H
center, Frattini, cosocle	C₂²×C₄	C₂⁵
commutator, socle	C₂³	C₂⁴×C₄
prime radical	C₂²×D₄	C₂²×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
1. C₂×#2962	C₂	semidirect
2. C₂×#2961	C₂	semidirect
4. #23152	C₂	semidirect
5. #23152	C₂	semidirect
6. #23150	C₂	semidirect
7. #22961	C₂	semidirect
8. #22959	C₂	semidirect
9. #22959	C₂	semidirect
10. #22958	C₂	semidirect
11. #22955	C₂	semidirect
12. #22954	C₂	semidirect
13. #22722	C₂	semidirect
17. #22511	C₂	semidirect
18. #22511	C₂	semidirect
19. #21714	C₂	semidirect
20. #21713	C₂	semidirect
21. #21713	C₂	semidirect
22. #21606	C₂	semidirect
23. #21605	C₂	semidirect
24. #21604	C₂	semidirect
25. #21601	C₂	semidirect
26. #21600	C₂	semidirect
27. #21599	C₂	semidirect
28. #20520	C₂	semidirect
269. #446	D₄	semidirect
275. #435	Q₈	semidirect

Maximal subgroups

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

subgroup	index
C₂×#2962	2
C₂×#2961	2
#34929	2
#23152	2
#23150	2
#22961	2
#22959	2
#22958	2
#22955	2
#22954	2
#22722	2
#22652	2
#22648	2
#22511	2
#21714	2
#21713	2
#21606	2
#21605	2
#21604	2
#21601	2
#21600	2
#21599	2
#20520	2
#20492	2
#20491	2
#20488	2