Subgroups — C₄×#3120 #6373401

Order 512.

2202 conjugacy classes of subgroups.

The subgroup lattice has 1288 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#3120	C₂	1	1	yes	maximal, characteristic
2	C₄×#541	C₂	1	1	yes	maximal, characteristic, complemented
3	C₄×#520	C₂	1	1	yes	maximal, characteristic
4	#21622	C₂	1	1	yes	maximal, characteristic, complemented
5	#21620	C₂	1	1	yes	maximal, characteristic, complemented
6	C₄×#479	C₂	1	1	yes	maximal, characteristic, complemented
7	C₄×#478	C₂	1	1	yes	maximal, characteristic, complemented
8	#21587	C₂	1	1	yes	maximal, characteristic, complemented
9	#21585	C₂	1	1	yes	maximal, characteristic, complemented
10	C₄×#484	C₂	1	1	yes	maximal, characteristic, complemented
11	C₄×#483	C₂	1	1	yes	maximal, characteristic, complemented
12	#21516	C₂	1	1	yes	maximal, characteristic, complemented
13	#21514	C₂	1	1	yes	maximal, characteristic, complemented
14	C₄×#462	C₂	1	1	yes	maximal, characteristic, complemented
15	C₄×#461	C₂	1	1	yes	maximal, characteristic, complemented
16	#21465	C₂	1	1	yes	maximal, characteristic
17	#21461	C₂	1	1	yes	maximal, characteristic
18	C₄×#452	C₂	1	1	yes	maximal, characteristic
19	C₄×#452	C₂	1	1	yes	maximal, characteristic
20	#21398	C₂	1	1	yes	maximal, characteristic, complemented
21	#21367	C₂	1	1	yes	maximal, characteristic, complemented
22	#21132	C₂	1	1	yes	maximal, characteristic, complemented
23	#21130	C₂	1	1	yes	maximal, characteristic, complemented
24	#21127	C₂	1	1	yes	maximal, characteristic, complemented
25	#21125	C₂	1	1	yes	maximal, characteristic, complemented
26	#20746	C₂	1	1	yes	maximal, characteristic
27	C₄×#441	C₂	1	1	yes	maximal, characteristic, complemented
28	C₄×#440	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄²×Q₁₆	C₂	1	1	yes	maximal, characteristic, complemented
30	C₄²×SD₁₆	C₂	1	1	yes	maximal, characteristic, complemented
31	C₄×#433	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#541	C₂²	1	1	yes	characteristic
33	C₂×#520	C₂²	1	1	yes	characteristic
34	C₂×#520	C₂²	1	1	yes	characteristic
35	C₂×C₄×#41	C₂²	1	1	yes	characteristic
36	#3120	C₄	1	16	yes	direct product factor
37	C₂×#484	C₂²	1	1	yes	characteristic
38	C₂×#483	C₂²	1	1	yes	characteristic
39	C₂×#479	C₂²	1	1	yes	characteristic
40	C₂×#478	C₂²	1	1	yes	characteristic
41	C₂×#462	C₂²	1	1	yes	characteristic
42	C₂×#461	C₂²	1	1	yes	characteristic
43	C₂×#452	C₂²	1	1	yes	characteristic
44	C₂×#452	C₂²	1	1	yes	characteristic
45	C₂×#441	C₂²	1	1	yes	characteristic
46	C₂×#441	C₂²	1	1	yes	characteristic
47	C₂×#440	C₂²	1	1	yes	characteristic
48	C₂×#440	C₂²	1	1	yes	characteristic
49	C₂×C₄×Q₁₆	C₂²	1	1	yes	characteristic
50	C₂×C₄×Q₁₆	C₂²	1	1	yes	characteristic
51	C₂×C₄×Q₁₆	C₂²	1	1	yes	characteristic
52	C₂×C₄×Q₁₆	C₂²	1	1	yes	characteristic
53	C₂×C₄×SD₁₆	C₂²	1	1	yes	characteristic
54	C₂×C₄×SD₁₆	C₂²	1	1	yes	characteristic
55	C₂×C₄×SD₁₆	C₂²	1	1	yes	characteristic
56	C₂×C₄×SD₁₆	C₂²	1	1	yes	characteristic
57	C₂×#433	C₂²	1	1	yes	characteristic
58	C₂×#433	C₂²	1	1	yes	characteristic
59	#2336	—	2	1	no	—
60	#2336	—	2	1	no	—
61	#2334	—	2	1	no	—
62	#2334	—	2	1	no	—
63	#2330	C₂²	1	1	yes	characteristic
64	#2327	C₂²	1	1	yes	characteristic
65	#2323	C₂²	1	1	yes	characteristic
66	#2323	C₂²	1	1	yes	characteristic
67	#2320	C₂²	1	1	yes	characteristic
68	#2320	C₂²	1	1	yes	characteristic
69	#2314	C₂²	1	1	yes	characteristic
70	C₄×C₄⋊Q₈	C₂²	1	1	yes	characteristic
71	C₄×#125	—	2	1	no	—
72	C₄×#125	—	2	1	no	—
73	C₄×#125	C₂²	1	1	yes	characteristic
74	C₄×#126	—	2	1	no	—
75	C₄×#126	—	2	1	no	—
76	C₄×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
77	C₄×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
78	#2276	C₂²	1	1	yes	characteristic
79	#2276	C₂²	1	1	yes	characteristic
80	#2275	—	2	1	no	—
81	#2275	—	2	1	no	—
82	#2275	C₂²	1	1	yes	characteristic
83	#2275	C₂²	1	1	yes	characteristic
84	#2274	—	2	1	no	—
85	#2274	—	2	1	no	—
86	#2274	C₂²	1	1	yes	characteristic
87	#2274	C₂²	1	1	yes	characteristic
88	C₄²×Q₈	C₂²	1	1	yes	characteristic
89	C₄²×Q₈	C₂²	1	1	yes	characteristic
90	C₄²×Q₈	C₂²	1	1	yes	characteristic
91	C₄²×Q₈	C₂²	1	1	yes	characteristic
92	C₄²×D₄	—	2	1	no	—
93	C₄²×D₄	—	2	1	no	—
94	C₄²×D₄	C₂²	1	1	yes	characteristic
95	C₄²×D₄	C₂²	1	1	yes	characteristic
96	C₄×#117	—	2	1	no	—
97	C₄×#117	C₂²	1	1	yes	characteristic
98	C₂×C₄×C₄⋊C₄	—	2	1	no	—
99	C₂×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic
100	#1989	C₂²	1	1	yes	characteristic
101	#1989	C₂²	1	1	yes	characteristic
102	#1981	C₂²	1	1	yes	characteristic
103	#1981	C₂²	1	1	yes	characteristic
104	#1949	C₂²	1	1	yes	characteristic
105	#1949	C₂²	1	1	yes	characteristic
106	#1948	C₂²	1	1	yes	characteristic
107	#1947	C₂²	1	1	yes	characteristic
108	#1928	C₂²	1	1	yes	characteristic
109	#1928	C₂²	1	1	yes	characteristic
110	#1928	C₂²	1	1	yes	characteristic
111	#1928	C₂²	1	1	yes	characteristic
112	#1927	C₂²	1	1	yes	characteristic
113	#1927	C₂²	1	1	yes	characteristic
114	#1927	C₂²	1	1	yes	characteristic
115	#1927	C₂²	1	1	yes	characteristic
116	#1921	C₂²	1	1	yes	characteristic
117	#1921	C₂²	1	1	yes	characteristic
118	#1921	C₂²	1	1	yes	characteristic
119	#1920	C₂²	1	1	yes	characteristic
120	#1920	C₂²	1	1	yes	characteristic
121	#1920	C₂²	1	1	yes	characteristic
122	#1919	C₂²	1	1	yes	characteristic
123	#1918	C₂²	1	1	yes	characteristic
124	#1878	C₂²	1	1	yes	characteristic
125	#1878	C₂²	1	1	yes	characteristic
126	#1878	C₂²	1	1	yes	characteristic
127	#1878	C₂²	1	1	yes	characteristic
128	#1877	C₂²	1	1	yes	characteristic
129	#1877	C₂²	1	1	yes	characteristic
130	#1877	C₂²	1	1	yes	characteristic
131	#1877	C₂²	1	1	yes	characteristic
132	#1873	C₂²	1	1	yes	characteristic
133	#1873	C₂²	1	1	yes	characteristic
134	#1872	C₂²	1	1	yes	characteristic
135	#1872	C₂²	1	1	yes	characteristic
136	#1865	C₂²	1	1	yes	characteristic
137	#1865	C₂²	1	1	yes	characteristic
138	#1865	C₂²	1	1	yes	characteristic
139	#1864	C₂²	1	1	yes	characteristic
140	#1863	C₂²	1	1	yes	characteristic
141	#1862	C₂²	1	1	yes	characteristic
142	#1862	C₂²	1	1	yes	characteristic
143	#1862	C₂²	1	1	yes	characteristic
144	#1854	C₂²	1	1	yes	characteristic
145	#1854	C₂²	1	1	yes	characteristic
146	#1853	C₂²	1	1	yes	characteristic
147	#1852	C₂²	1	1	yes	characteristic
148	#1824	C₂²	1	1	yes	characteristic
149	#1823	C₂²	1	1	yes	characteristic
150	#1805	C₂²	1	1	yes	characteristic
151	#1804	C₂²	1	1	yes	characteristic
152	#1803	C₂²	1	1	yes	characteristic
153	#1802	C₂²	1	1	yes	characteristic
154	#1788	C₂²	1	1	yes	characteristic
155	#1788	C₂²	1	1	yes	characteristic
156	#1776	C₂²	1	1	yes	characteristic
157	#1776	C₂²	1	1	yes	characteristic
158	#1776	C₂²	1	1	yes	characteristic
159	#1776	C₂²	1	1	yes	characteristic
160	C₄×#107	C₂²	1	1	yes	characteristic
161	C₄×#107	C₂²	1	1	yes	characteristic
162	C₄×#107	C₂²	1	1	yes	characteristic
163	C₄×#107	C₂²	1	1	yes	characteristic
164	C₄×#106	C₂²	1	1	yes	characteristic
165	C₄×#106	C₂²	1	1	yes	characteristic
166	C₄×#106	C₂²	1	1	yes	characteristic
167	C₄×#106	C₂²	1	1	yes	characteristic
168	#1768	C₂²	1	1	yes	characteristic
169	#1768	C₂²	1	1	yes	characteristic
170	C₄×C₄⋊C₈	C₂²	1	1	yes	characteristic
171	C₄×C₄⋊C₈	C₂²	1	1	yes	characteristic
172	#1763	C₂²	1	1	yes	characteristic
173	#1763	C₂²	1	1	yes	characteristic
174	#1763	C₂²	1	1	yes	characteristic
175	#1763	C₂²	1	1	yes	characteristic
176	#1763	C₂²	1	1	yes	characteristic
177	#1763	C₂²	1	1	yes	characteristic
178	#1762	C₂²	1	1	yes	characteristic
179	#1762	C₂²	1	1	yes	characteristic
180	C₄×#103	C₂²	1	1	yes	characteristic
181	C₄×#103	C₂²	1	1	yes	characteristic
182	C₄×#103	C₂²	1	1	yes	characteristic
183	C₄×#103	C₂²	1	1	yes	characteristic
184	C₄×#103	C₂²	1	1	yes	characteristic
185	C₄×#103	C₂²	1	1	yes	characteristic
186	C₄×#103	C₂²	1	1	yes	characteristic
187	C₄×#103	C₂²	1	1	yes	characteristic
188	C₄×#103	C₂²	1	1	yes	characteristic
189	C₄×#103	C₂²	1	1	yes	characteristic
190	C₄×#103	C₂²	1	1	yes	characteristic
191	C₄×#103	C₂²	1	1	yes	characteristic
192	C₄×#102	C₂²	1	1	yes	characteristic
193	C₄×#102	C₂²	1	1	yes	characteristic
194	C₄×#102	C₂²	1	1	yes	characteristic
195	C₄×#102	C₂²	1	1	yes	characteristic
196	#1750	C₂²	1	1	yes	characteristic
197	#1750	C₂²	1	1	yes	characteristic
198	C₄×C₂²⋊C₈	C₂²	1	1	yes	characteristic
199	C₄×C₂²⋊C₈	C₂²	1	1	yes	characteristic
200	#1746	C₂²	1	1	yes	characteristic
201	#1746	C₂²	1	1	yes	characteristic
202	C₄×#97	C₂²	1	1	yes	characteristic
203	C₄²×C₈	C₂²	1	1	yes	characteristic
204	C₂²×#41	C₂³	1	1	yes	characteristic
205	C₂²×Q₁₆	C₂³	1	1	yes	characteristic
206	C₂²×Q₁₆	C₂³	1	1	yes	characteristic
207	C₂²×SD₁₆	C₂³	1	1	yes	characteristic
208	C₂²×SD₁₆	C₂³	1	1	yes	characteristic
209	#541	—	2	4	no	—
210	#541	C₂×C₄	1	8	yes	complemented
211	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
212	C₂×#126	—	2	1	no	—
213	C₂×#126	—	2	1	no	—
214	C₂×#125	—	2	1	no	—
215	C₂×#125	—	2	1	no	—
216	C₂×#125	C₂³	1	1	yes	characteristic
217	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
218	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
219	#520	—	2	4	no	—
220	#520	—	2	4	no	—
221	#520	—	2	4	no	—
222	#520	C₂×C₄	1	8	yes	—
223	C₄×#41	—	2	4	no	—
224	C₄×#41	—	2	4	no	—
225	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
226	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
227	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
228	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
229	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
230	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
231	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
232	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
233	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
234	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
235	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
236	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
237	C₂×C₄×D₄	—	2	1	no	—
238	C₂×C₄×D₄	—	2	1	no	—
239	C₂×C₄×D₄	—	2	1	no	—
240	C₂×C₄×D₄	—	2	1	no	—
241	C₂×C₄×D₄	—	2	1	no	—
242	C₂×C₄×D₄	—	2	1	no	—
243	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
244	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
245	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
246	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
247	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
248	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
249	C₂×#117	—	2	1	no	—
250	C₂×#117	—	2	1	no	—
251	C₂×#117	—	2	1	no	—
252	C₂×#117	C₂³	1	1	yes	characteristic
253	C₂×#117	C₂³	1	1	yes	characteristic
254	C₂×#117	C₂³	1	1	yes	characteristic
255	C₂²×C₄⋊C₄	—	2	1	no	—
256	C₂²×C₄⋊C₄	—	2	1	no	—
257	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
258	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
259	C₂²×C₄²	—	2	1	no	—
260	C₂²×C₄²	—	2	1	no	—
261	C₂²×C₄²	—	2	1	no	—
262	C₂²×C₄²	—	2	1	no	—
263	C₂²×C₄²	C₂³	1	1	yes	characteristic
264	#484	C₂×C₄	1	8	yes	complemented
265	#483	C₂×C₄	1	8	yes	complemented
266	#479	C₂×C₄	1	8	yes	complemented
267	#478	C₂×C₄	1	8	yes	complemented
268	#462	C₂×C₄	1	8	yes	complemented
269	#461	C₂×C₄	1	8	yes	complemented
270	#452	C₂×C₄	1	8	yes	—
271	#452	C₂×C₄	1	8	yes	—
272	#441	—	2	4	no	—
273	#441	C₂×C₄	1	8	yes	complemented
274	#440	—	2	4	no	—
275	#440	C₂×C₄	1	8	yes	complemented
276	C₄×Q₁₆	—	2	4	no	—
277	C₄×Q₁₆	—	2	4	no	—
278	C₄×Q₁₆	—	2	4	no	—
279	C₄×Q₁₆	C₂×C₄	1	8	yes	complemented
280	C₄×SD₁₆	—	2	4	no	—
281	C₄×SD₁₆	—	2	4	no	—
282	C₄×SD₁₆	—	2	4	no	—
283	C₄×SD₁₆	C₂×C₄	1	8	yes	complemented
284	#433	—	2	4	no	—
285	#433	C₂×C₄	1	8	yes	complemented
286	C₂×#107	C₂³	1	1	yes	characteristic
287	C₂×#107	C₂³	1	1	yes	characteristic
288	C₂×#107	C₂³	1	1	yes	characteristic
289	C₂×#107	C₂³	1	1	yes	characteristic
290	C₂×#107	C₂³	1	1	yes	characteristic
291	C₂×#107	C₂³	1	1	yes	characteristic
292	C₂×#106	C₂³	1	1	yes	characteristic
293	C₂×#106	C₂³	1	1	yes	characteristic
294	C₂×#106	C₂³	1	1	yes	characteristic
295	C₂×#106	C₂³	1	1	yes	characteristic
296	C₂×#106	C₂³	1	1	yes	characteristic
297	C₂×#106	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×#103	C₂³	1	1	yes	characteristic
303	C₂×#103	C₂³	1	1	yes	characteristic
304	C₂×#103	C₂³	1	1	yes	characteristic
305	C₂×#103	C₂³	1	1	yes	characteristic
306	C₂×#103	C₂³	1	1	yes	characteristic
307	C₂×#103	C₂³	1	1	yes	characteristic
308	C₂×#103	C₂³	1	1	yes	characteristic
309	C₂×#103	C₂³	1	1	yes	characteristic
310	C₂×#103	C₂³	1	1	yes	characteristic
311	C₂×#103	C₂³	1	1	yes	characteristic
312	C₂×#103	C₂³	1	1	yes	characteristic
313	C₂×#103	C₂³	1	1	yes	characteristic
314	C₂×#103	C₂³	1	1	yes	characteristic
315	C₂×#103	C₂³	1	1	yes	characteristic
316	C₂×#103	C₂³	1	1	yes	characteristic
317	C₂×#103	C₂³	1	1	yes	characteristic
318	C₂×#103	C₂³	1	1	yes	characteristic
319	C₂×#103	C₂³	1	1	yes	characteristic
320	C₂×#102	C₂³	1	1	yes	characteristic
321	C₂×#102	C₂³	1	1	yes	characteristic
322	C₂×#102	C₂³	1	1	yes	characteristic
323	C₂×#102	C₂³	1	1	yes	characteristic
324	C₂×#102	C₂³	1	1	yes	characteristic
325	C₂×#102	C₂³	1	1	yes	characteristic
326	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
327	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
328	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
329	C₂×C₂²⋊C₈	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×C₄×C₈	C₂³	1	1	yes	characteristic
335	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
336	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
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	#391	C₂³	1	1	yes	characteristic
343	#391	C₂³	1	1	yes	characteristic
344	#391	C₂³	1	1	yes	characteristic
345	#391	C₂³	1	1	yes	characteristic
346	#389	—	2	1	no	—
347	#389	—	2	1	no	—
348	#389	—	2	1	no	—
349	#389	—	2	1	no	—
350	#389	—	2	1	no	—
351	#389	—	2	1	no	—
352	#389	C₂³	1	1	yes	characteristic
353	#389	C₂³	1	1	yes	characteristic
354	#389	C₂³	1	1	yes	characteristic
355	#389	C₂³	1	1	yes	characteristic
356	#388	—	2	1	no	—
357	#388	—	2	1	no	—
358	#388	—	2	1	no	—
359	#388	—	2	1	no	—
360	#388	—	2	1	no	—
361	#388	—	2	1	no	—
362	#387	—	2	1	no	—
363	#387	—	2	1	no	—
364	#387	—	2	1	no	—
365	#387	—	2	1	no	—
366	#387	—	2	1	no	—
367	#387	—	2	1	no	—
368	#387	—	2	1	no	—
369	#387	—	2	1	no	—
370	#387	—	2	1	no	—
371	#387	—	2	1	no	—
372	#387	—	2	1	no	—
373	#387	—	2	1	no	—
374	#387	—	2	1	no	—
375	#387	—	2	1	no	—
376	#387	—	2	1	no	—
377	#387	—	2	1	no	—
378	#387	—	2	1	no	—
379	#387	—	2	1	no	—
380	#385	—	2	1	no	—
381	#385	—	2	1	no	—
382	#384	C₂³	1	1	yes	characteristic
383	#383	—	2	1	no	—
384	#383	—	2	1	no	—
385	#382	—	2	1	no	—
386	#382	—	2	1	no	—
387	#382	C₂³	1	1	yes	characteristic
388	#380	C₂³	1	1	yes	characteristic
389	#380	C₂³	1	1	yes	characteristic
390	C₄×C₄⋊C₄	—	2	1	no	—
391	C₄×C₄⋊C₄	—	2	1	no	—
392	C₄×C₄⋊C₄	—	2	1	no	—
393	C₄×C₄⋊C₄	—	2	1	no	—
394	C₄×C₄⋊C₄	—	2	1	no	—
395	C₄×C₄⋊C₄	—	2	1	no	—
396	C₄×C₄⋊C₄	—	2	1	no	—
397	C₄×C₄⋊C₄	—	2	1	no	—
398	C₄×C₄⋊C₄	—	2	1	no	—
399	C₄×C₄⋊C₄	—	2	1	no	—
400	C₄×C₄⋊C₄	—	2	1	no	—
401	C₄×C₄⋊C₄	—	2	1	no	—
402	C₄×C₄⋊C₄	—	2	1	no	—
403	C₄×C₄⋊C₄	—	2	1	no	—
404	C₄×C₄⋊C₄	—	2	1	no	—
405	C₄×C₄⋊C₄	—	2	1	no	—
406	C₄×C₄⋊C₄	—	2	1	no	—
407	C₄×C₄⋊C₄	—	2	1	no	—
408	C₄×C₄⋊C₄	—	2	1	no	—
409	C₄×C₄⋊C₄	—	2	1	no	—
410	C₄×C₄⋊C₄	—	2	1	no	—
411	C₄×C₄⋊C₄	—	2	1	no	—
412	C₄×C₄⋊C₄	—	2	1	no	—
413	C₄×C₄⋊C₄	—	2	1	no	—
414	C₄×C₄⋊C₄	—	2	1	no	—
415	C₄×C₄⋊C₄	—	2	1	no	—
416	C₄×C₄⋊C₄	—	2	1	no	—
417	C₄×C₄⋊C₄	—	2	1	no	—
418	C₄×C₄⋊C₄	—	2	1	no	—
419	C₄×C₄⋊C₄	—	2	1	no	—
420	C₄×C₄⋊C₄	D₄	1	1	yes	characteristic
421	C₄×C₄⋊C₄	D₄	1	1	yes	characteristic
422	C₄×C₄⋊C₄	D₄	1	1	yes	characteristic
423	C₄×C₄⋊C₄	D₄	1	1	yes	characteristic
424	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
425	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
426	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
427	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
428	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
429	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
430	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
431	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
432	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
433	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
434	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
435	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
436	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
437	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
438	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
439	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
440	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
441	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
442	C₄×C₂²⋊C₄	—	2	1	no	—
443	C₄×C₂²⋊C₄	—	2	1	no	—
444	C₄×C₂²⋊C₄	—	2	1	no	—
445	C₄×C₂²⋊C₄	—	2	1	no	—
446	C₄×C₂²⋊C₄	—	2	1	no	—
447	C₄×C₂²⋊C₄	—	2	1	no	—
448	C₄×C₂²⋊C₄	—	2	1	no	—
449	C₄×C₂²⋊C₄	—	2	1	no	—
450	C₄×C₂²⋊C₄	—	2	1	no	—
451	C₄×C₂²⋊C₄	—	2	1	no	—
452	C₄×C₂²⋊C₄	—	2	1	no	—
453	C₄×C₂²⋊C₄	—	2	1	no	—
454	C₄×C₂²⋊C₄	—	2	1	no	—
455	C₄×C₂²⋊C₄	—	2	1	no	—
456	C₄×C₂²⋊C₄	—	2	1	no	—
457	C₄×C₂²⋊C₄	—	2	1	no	—
458	C₄×C₂²⋊C₄	—	2	1	no	—
459	C₄×C₂²⋊C₄	—	2	1	no	—
460	C₄×C₂²⋊C₄	D₄	1	1	yes	characteristic
461	C₄×C₂²⋊C₄	D₄	1	1	yes	characteristic
462	C₄×C₂²⋊C₄	D₄	1	1	yes	characteristic
463	C₄×C₂²⋊C₄	D₄	1	1	yes	characteristic
464	#376	—	2	1	no	—
465	#376	—	2	1	no	—
466	#376	C₂³	1	1	yes	characteristic
467	#376	C₂³	1	1	yes	characteristic
468	C₂×#95	—	2	1	no	—
469	C₂×#95	—	2	1	no	—
470	C₂×#95	—	2	1	no	—
471	C₄³	—	2	1	no	—
472	C₄³	—	2	1	no	—
473	C₄³	—	2	1	no	—
474	C₄³	—	2	1	no	—
475	C₄³	C₂³	1	1	yes	characteristic
476	C₄³	C₂³	1	1	yes	characteristic
477	#340	C₂³	1	1	yes	characteristic
478	#340	C₂³	1	1	yes	characteristic
479	#340	C₂³	1	1	yes	characteristic
480	#340	C₂³	1	1	yes	characteristic
481	#340	C₂³	1	1	yes	characteristic
482	#340	C₂³	1	1	yes	characteristic
483	#340	C₂³	1	1	yes	characteristic
484	#340	C₂³	1	1	yes	characteristic
485	#340	C₂³	1	1	yes	characteristic
486	#340	C₂³	1	1	yes	characteristic
487	#340	C₂³	1	1	yes	characteristic
488	#340	C₂³	1	1	yes	characteristic
489	#340	C₂³	1	1	yes	characteristic
490	#340	C₂³	1	1	yes	characteristic
491	#340	C₂³	1	1	yes	characteristic
492	#340	C₂³	1	1	yes	characteristic
493	#340	C₂³	1	1	yes	characteristic
494	#340	C₂³	1	1	yes	characteristic
495	#340	C₂³	1	1	yes	characteristic
496	#340	C₂³	1	1	yes	characteristic
497	#340	C₂³	1	1	yes	characteristic
498	#340	C₂³	1	1	yes	characteristic
499	#340	C₂³	1	1	yes	characteristic
500	#340	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	C₂×#41	—	2	2	no	—
510	C₂×#41	—	2	2	no	—
511	C₂×#41	—	2	2	no	—
512	C₂×#41	—	2	2	no	—
513	C₂×#41	—	2	2	no	—
514	C₂×#41	C₂²×C₄	1	4	yes	—
515	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
516	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
517	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
518	C₂²×D₄	—	2	1	no	—
519	C₂²×D₄	C₂⁴	1	1	yes	characteristic
520	C₂³×C₄	—	2	1	no	—
521	C₂³×C₄	—	2	1	no	—
522	C₂³×C₄	—	2	1	no	—
523	C₂³×C₄	—	2	1	no	—
524	C₂³×C₄	—	2	1	no	—
525	C₂³×C₄	—	2	1	no	—
526	C₂³×C₄	—	2	1	no	—
527	C₂³×C₄	—	2	1	no	—
528	C₂³×C₄	—	2	1	no	—
529	C₂³×C₄	C₂×D₄	1	1	yes	characteristic
530	C₂³×C₄	C₂×D₄	1	1	yes	characteristic
531	C₂³×C₄	C₂⁴	1	1	yes	characteristic
532	C₂×Q₁₆	—	2	2	no	—
533	C₂×Q₁₆	—	2	2	no	—
534	C₂×Q₁₆	—	2	2	no	—
535	C₂×Q₁₆	—	2	2	no	—
536	C₂×Q₁₆	C₂²×C₄	1	4	yes	—
537	C₂×Q₁₆	C₂²×C₄	1	4	yes	—
538	C₂×SD₁₆	—	2	2	no	—
539	C₂×SD₁₆	—	2	2	no	—
540	C₂×SD₁₆	—	2	2	no	—
541	C₂×SD₁₆	—	2	2	no	—
542	C₂×SD₁₆	C₂²×C₄	1	4	yes	—
543	C₂×SD₁₆	C₂²×C₄	1	4	yes	—
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	C₄⋊Q₈	—	2	2	no	—
553	C₄⋊Q₈	C₂²×C₄	1	4	yes	—
554	#126	—	2	8	no	—
555	#126	—	2	8	no	—
556	#125	—	2	8	no	—
557	#125	—	2	8	no	—
558	#125	—	2	2	no	—
559	#125	C₂²×C₄	1	4	yes	—
560	C₂²⋊Q₈	—	2	2	no	—
561	C₂²⋊Q₈	—	2	2	no	—
562	C₂²⋊Q₈	C₂²×C₄	1	4	yes	—
563	C₂²⋊Q₈	C₂²×C₄	1	4	yes	—
564	C₄×Q₈	—	2	2	no	—
565	C₄×Q₈	—	2	2	no	—
566	C₄×Q₈	—	2	2	no	—
567	C₄×Q₈	—	2	2	no	—
568	C₄×Q₈	—	2	2	no	—
569	C₄×Q₈	—	2	2	no	—
570	C₄×Q₈	—	2	2	no	—
571	C₄×Q₈	—	2	2	no	—
572	C₄×Q₈	—	2	2	no	—
573	C₄×Q₈	—	2	2	no	—
574	C₄×Q₈	—	2	2	no	—
575	C₄×Q₈	—	2	2	no	—
576	C₄×Q₈	—	2	2	no	—
577	C₄×Q₈	—	2	2	no	—
578	C₄×Q₈	—	2	2	no	—
579	C₄×Q₈	—	2	2	no	—
580	C₄×Q₈	—	2	2	no	—
581	C₄×Q₈	—	2	2	no	—
582	C₄×Q₈	C₂²×C₄	1	4	yes	—
583	C₄×Q₈	C₂²×C₄	1	4	yes	—
584	C₄×Q₈	C₂²×C₄	1	4	yes	—
585	C₄×Q₈	C₂²×C₄	1	4	yes	—
586	C₄×Q₈	#41	1	4	yes	—
587	C₄×Q₈	#41	1	4	yes	—
588	C₄×D₄	—	2	8	no	—
589	C₄×D₄	—	2	8	no	—
590	C₄×D₄	—	2	8	no	—
591	C₄×D₄	—	2	8	no	—
592	C₄×D₄	—	2	2	no	—
593	C₄×D₄	—	2	2	no	—
594	C₄×D₄	—	2	2	no	—
595	C₄×D₄	—	2	2	no	—
596	C₄×D₄	—	2	8	no	—
597	C₄×D₄	—	2	8	no	—
598	C₄×D₄	—	2	2	no	—
599	C₄×D₄	—	2	2	no	—
600	C₄×D₄	—	2	2	no	—
601	C₄×D₄	—	2	2	no	—
602	C₄×D₄	C₂²×C₄	1	4	yes	—
603	C₄×D₄	C₂²×C₄	1	4	yes	—
604	C₄×D₄	#41	1	4	yes	—
605	C₄×D₄	#41	1	4	yes	—
606	#117	—	2	8	no	—
607	#117	—	2	8	no	—
608	#117	—	2	8	no	—
609	#117	—	2	2	no	—
610	#117	—	2	2	no	—
611	#117	—	2	2	no	—
612	#117	—	2	2	no	—
613	#117	C₂²×C₄	1	4	yes	—
614	#117	#41	1	4	yes	—
615	C₂×C₄⋊C₄	—	2	8	no	—
616	C₂×C₄⋊C₄	—	2	1	no	—
617	C₂×C₄⋊C₄	—	2	1	no	—
618	C₂×C₄⋊C₄	—	2	1	no	—
619	C₂×C₄⋊C₄	—	2	1	no	—
620	C₂×C₄⋊C₄	—	2	1	no	—
621	C₂×C₄⋊C₄	—	2	1	no	—
622	C₂×C₄⋊C₄	—	2	1	no	—
623	C₂×C₄⋊C₄	—	2	1	no	—
624	C₂×C₄⋊C₄	—	2	1	no	—
625	C₂×C₄⋊C₄	—	2	1	no	—
626	C₂×C₄⋊C₄	—	2	1	no	—
627	C₂×C₄⋊C₄	—	2	1	no	—
628	C₂×C₄⋊C₄	—	2	1	no	—
629	C₂×C₄⋊C₄	—	2	1	no	—
630	C₂×C₄⋊C₄	—	2	1	no	—
631	C₂×C₄⋊C₄	—	2	1	no	—
632	C₂×C₄⋊C₄	—	2	2	no	—
633	C₂×C₄⋊C₄	—	2	8	no	—
634	C₂×C₄⋊C₄	—	2	2	no	—
635	C₂×C₄⋊C₄	—	2	2	no	—
636	C₂×C₄⋊C₄	—	2	1	no	—
637	C₂×C₄⋊C₄	—	2	1	no	—
638	C₂×C₄⋊C₄	—	2	1	no	—
639	C₂×C₄⋊C₄	—	2	1	no	—
640	C₂×C₄⋊C₄	—	2	1	no	—
641	C₂×C₄⋊C₄	—	2	1	no	—
642	C₂×C₄⋊C₄	—	2	1	no	—
643	C₂×C₄⋊C₄	—	2	1	no	—
644	C₂×C₄⋊C₄	—	2	1	no	—
645	C₂×C₄⋊C₄	—	2	1	no	—
646	C₂×C₄⋊C₄	C₂²×C₄	1	4	yes	—
647	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
648	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
649	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
650	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
651	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
652	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
653	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
654	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
655	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
656	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
657	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
658	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
659	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
660	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
661	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
662	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
663	C₂×C₂²⋊C₄	—	2	1	no	—
664	C₂×C₂²⋊C₄	—	2	1	no	—
665	C₂×C₂²⋊C₄	—	2	1	no	—
666	C₂×C₂²⋊C₄	—	2	1	no	—
667	C₂×C₂²⋊C₄	—	2	1	no	—
668	C₂×C₂²⋊C₄	—	2	1	no	—
669	C₂×C₂²⋊C₄	—	2	1	no	—
670	C₂×C₂²⋊C₄	—	2	1	no	—
671	C₂×C₂²⋊C₄	—	2	1	no	—
672	C₂×C₂²⋊C₄	—	2	1	no	—
673	C₂×C₂²⋊C₄	—	2	1	no	—
674	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
675	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
676	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
677	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
678	C₂×C₄²	—	2	8	no	—
679	C₂×C₄²	—	2	1	no	—
680	C₂×C₄²	—	2	1	no	—
681	C₂×C₄²	—	2	1	no	—
682	C₂×C₄²	—	2	1	no	—
683	C₂×C₄²	—	2	1	no	—
684	C₂×C₄²	—	2	1	no	—
685	C₂×C₄²	—	2	1	no	—
686	C₂×C₄²	—	2	1	no	—
687	C₂×C₄²	—	2	1	no	—
688	C₂×C₄²	—	2	2	no	—
689	C₂×C₄²	—	2	2	no	—
690	C₂×C₄²	—	2	1	no	—
691	C₂×C₄²	—	2	1	no	—
692	C₂×C₄²	—	2	1	no	—
693	C₂×C₄²	—	2	1	no	—
694	C₂×C₄²	—	2	1	no	—
695	C₂×C₄²	—	2	1	no	—
696	C₂×C₄²	—	2	1	no	—
697	C₂×C₄²	—	2	1	no	—
698	C₂×C₄²	—	2	1	no	—
699	C₂×C₄²	—	2	1	no	—
700	C₂×C₄²	—	2	1	no	—
701	C₂×C₄²	—	2	1	no	—
702	C₂×C₄²	—	2	1	no	—
703	C₂×C₄²	—	2	1	no	—
704	C₂×C₄²	—	2	1	no	—
705	C₂×C₄²	—	2	1	no	—
706	C₂×C₄²	—	2	1	no	—
707	C₂×C₄²	—	2	1	no	—
708	C₂×C₄²	—	2	1	no	—
709	C₂×C₄²	—	2	1	no	—
710	C₂×C₄²	—	2	1	no	—
711	C₂×C₄²	—	2	1	no	—
712	C₂×C₄²	—	8	2	no	—
713	C₂×C₄²	—	8	2	no	—
714	C₂×C₄²	—	8	2	no	—
715	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
716	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
717	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
718	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
719	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
720	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
721	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
722	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
723	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
724	C₂×C₄²	C₂×D₄	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	C₂×C₄²	C₂⁴	1	1	yes	characteristic
729	C₂×C₄²	C₂⁴	1	1	yes	characteristic
730	C₂×C₄²	C₂⁴	1	1	yes	characteristic
731	#107	—	2	2	no	—
732	#107	—	2	2	no	—
733	#107	—	2	2	no	—
734	#107	—	2	2	no	—
735	#107	C₂²×C₄	1	4	yes	—
736	#107	C₂²×C₄	1	4	yes	—
737	#106	—	2	2	no	—
738	#106	—	2	2	no	—
739	#106	—	2	2	no	—
740	#106	—	2	2	no	—
741	#106	C₂²×C₄	1	4	yes	—
742	#106	C₂²×C₄	1	4	yes	—
743	C₄⋊C₈	—	2	2	no	—
744	C₄⋊C₈	—	2	2	no	—
745	C₄⋊C₈	C₂²×C₄	1	4	yes	—
746	C₄⋊C₈	C₂²×C₄	1	4	yes	—
747	#103	—	2	2	no	—
748	#103	—	2	2	no	—
749	#103	—	2	2	no	—
750	#103	—	2	2	no	—
751	#103	—	2	2	no	—
752	#103	—	2	2	no	—
753	#103	—	2	2	no	—
754	#103	—	2	2	no	—
755	#103	—	2	2	no	—
756	#103	—	2	2	no	—
757	#103	—	2	2	no	—
758	#103	—	2	2	no	—
759	#103	C₂²×C₄	1	4	yes	—
760	#103	C₂²×C₄	1	4	yes	—
761	#103	C₂²×C₄	1	4	yes	—
762	#103	C₂²×C₄	1	4	yes	—
763	#103	C₂²×C₄	1	4	yes	—
764	#103	C₂²×C₄	1	4	yes	—
765	#102	—	2	2	no	—
766	#102	—	2	2	no	—
767	#102	—	2	2	no	—
768	#102	—	2	2	no	—
769	#102	C₂²×C₄	1	4	yes	—
770	#102	C₂²×C₄	1	4	yes	—
771	C₂²⋊C₈	—	2	2	no	—
772	C₂²⋊C₈	—	2	2	no	—
773	C₂²⋊C₈	C₂²×C₄	1	4	yes	—
774	C₂²⋊C₈	C₂²×C₄	1	4	yes	—
775	#97	—	2	2	no	—
776	#97	—	2	2	no	—
777	#97	—	2	2	no	—
778	#97	C₂²×C₄	1	4	yes	—
779	C₄×C₈	—	2	2	no	—
780	C₄×C₈	—	2	2	no	—
781	C₄×C₈	—	2	2	no	—
782	C₄×C₈	—	2	2	no	—
783	C₄×C₈	—	2	2	no	—
784	C₄×C₈	—	2	2	no	—
785	C₄×C₈	—	2	2	no	—
786	C₄×C₈	C₂²×C₄	1	4	yes	—
787	#95	—	2	1	no	—
788	#95	—	2	1	no	—
789	#95	—	2	1	no	—
790	#95	—	2	1	no	—
791	#95	—	2	1	no	—
792	#95	—	2	1	no	—
793	#95	—	2	1	no	—
794	#95	—	2	1	no	—
795	#95	—	2	1	no	—
796	#95	—	2	1	no	—
797	#95	—	2	1	no	—
798	#95	—	2	1	no	—
799	#95	—	2	1	no	—
800	#95	—	2	1	no	—
801	#95	—	2	1	no	—
802	#95	—	2	1	no	—
803	#95	—	2	1	no	—
804	#95	—	2	1	no	—
805	#95	—	2	1	no	—
806	#95	—	2	1	no	—
807	#95	—	2	1	no	—
808	#95	—	2	1	no	—
809	#95	—	2	1	no	—
810	#95	—	2	1	no	—
811	#95	—	2	1	no	—
812	#95	—	2	1	no	—
813	#95	—	2	1	no	—
814	#95	—	2	1	no	—
815	#95	—	2	1	no	—
816	#95	—	2	1	no	—
817	#95	—	2	1	no	—
818	#95	—	2	1	no	—
819	#95	—	2	1	no	—
820	#95	—	2	1	no	—
821	#95	C₂×D₄	1	1	yes	characteristic
822	#95	C₂×D₄	1	1	yes	characteristic
823	#95	C₂×D₄	1	1	yes	characteristic
824	#95	C₂×D₄	1	1	yes	characteristic
825	#95	C₂×D₄	1	1	yes	characteristic
826	#95	C₂×D₄	1	1	yes	characteristic
827	#95	C₂×D₄	1	1	yes	characteristic
828	#95	C₂×D₄	1	1	yes	characteristic
829	C₂⁴	—	2	1	no	—
830	C₂⁴	C₂²×D₄	1	1	yes	characteristic
831	#41	—	2	8	no	—
832	#41	—	2	8	no	—
833	#41	—	2	8	no	—
834	#41	—	2	8	no	—
835	C₂×Q₈	—	2	1	no	—
836	C₂×Q₈	—	2	1	no	—
837	C₂×Q₈	—	2	1	no	—
838	C₂×Q₈	—	2	1	no	—
839	C₂×Q₈	—	2	1	no	—
840	C₂×Q₈	—	2	1	no	—
841	C₂×Q₈	—	2	1	no	—
842	C₂×Q₈	—	2	1	no	—
843	C₂×Q₈	—	2	1	no	—
844	C₂×Q₈	—	2	1	no	—
845	C₂×Q₈	—	2	1	no	—
846	C₂×Q₈	—	2	1	no	—
847	C₂×Q₈	—	2	1	no	—
848	C₂×Q₈	C₂³×C₄	1	2	yes	—
849	C₂×Q₈	C₂³×C₄	1	2	yes	—
850	C₂×Q₈	C₂³×C₄	1	2	yes	—
851	C₂×Q₈	C₂×#41	1	2	yes	—
852	C₂×Q₈	C₂×#41	1	2	yes	—
853	C₂×D₄	—	2	4	no	—
854	C₂×D₄	—	2	4	no	—
855	C₂×D₄	—	2	4	no	—
856	C₂×D₄	—	2	1	no	—
857	C₂×D₄	—	2	1	no	—
858	C₂×D₄	—	2	1	no	—
859	C₂×D₄	C₂³×C₄	1	2	yes	—
860	C₂×D₄	C₂×#41	1	2	yes	—
861	C₂×D₄	C₂×#41	1	2	yes	—
862	C₂²×C₄	—	2	4	no	—
863	C₂²×C₄	—	2	4	no	—
864	C₂²×C₄	—	2	1	no	—
865	C₂²×C₄	—	2	4	no	—
866	C₂²×C₄	—	2	1	no	—
867	C₂²×C₄	—	2	1	no	—
868	C₂²×C₄	—	2	1	no	—
869	C₂²×C₄	—	2	1	no	—
870	C₂²×C₄	—	2	1	no	—
871	C₂²×C₄	—	2	1	no	—
872	C₂²×C₄	—	2	1	no	—
873	C₂²×C₄	—	2	1	no	—
874	C₂²×C₄	—	2	1	no	—
875	C₂²×C₄	—	2	1	no	—
876	C₂²×C₄	—	2	1	no	—
877	C₂²×C₄	—	2	1	no	—
878	C₂²×C₄	—	2	1	no	—
879	C₂²×C₄	—	2	1	no	—
880	C₂²×C₄	—	2	4	no	—
881	C₂²×C₄	—	2	4	no	—
882	C₂²×C₄	—	2	4	no	—
883	C₂²×C₄	—	2	4	no	—
884	C₂²×C₄	—	2	2	no	—
885	C₂²×C₄	—	2	4	no	—
886	C₂²×C₄	—	2	2	no	—
887	C₂²×C₄	—	2	2	no	—
888	C₂²×C₄	—	2	4	no	—
889	C₂²×C₄	—	2	4	no	—
890	C₂²×C₄	—	2	2	no	—
891	C₂²×C₄	—	2	4	no	—
892	C₂²×C₄	—	2	1	no	—
893	C₂²×C₄	—	2	1	no	—
894	C₂²×C₄	—	2	1	no	—
895	C₂²×C₄	—	2	1	no	—
896	C₂²×C₄	—	4	1	no	—
897	C₂²×C₄	—	4	1	no	—
898	C₂²×C₄	—	4	2	no	—
899	C₂²×C₄	—	4	2	no	—
900	C₂²×C₄	—	8	1	no	—
901	C₂²×C₄	—	8	1	no	—
902	C₂²×C₄	—	8	1	no	—
903	C₂²×C₄	—	8	1	no	—
904	C₂²×C₄	—	8	1	no	—
905	C₂²×C₄	—	8	1	no	—
906	C₂²×C₄	—	8	1	no	—
907	C₂²×C₄	—	8	1	no	—
908	C₂²×C₄	—	8	1	no	—
909	C₂²×C₄	—	8	1	no	—
910	C₂²×C₄	—	8	1	no	—
911	C₂²×C₄	—	8	1	no	—
912	C₂²×C₄	—	8	1	no	—
913	C₂²×C₄	—	8	1	no	—
914	C₂²×C₄	C₂³×C₄	1	2	yes	—
915	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
916	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
917	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
918	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
919	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
920	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
921	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
922	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
923	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
924	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
925	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
926	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
927	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
928	C₂²×C₄	C₂×#41	1	2	yes	—
929	C₂²×C₄	C₂⁵	1	1	yes	characteristic
930	Q₁₆	—	2	8	no	—
931	Q₁₆	—	2	8	no	—
932	SD₁₆	—	2	8	no	—
933	SD₁₆	—	2	8	no	—
934	C₂×C₈	—	2	1	no	—
935	C₂×C₈	—	2	1	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	C₂³×C₄	1	2	yes	—
955	C₂×C₈	C₂³×C₄	1	2	yes	—
956	C₂×C₈	C₂³×C₄	1	2	yes	—
957	C₂×C₈	C₂³×C₄	1	2	yes	—
958	C₄⋊C₄	—	2	4	no	—
959	C₄⋊C₄	—	2	4	no	—
960	C₄⋊C₄	—	2	4	no	—
961	C₄⋊C₄	—	2	4	no	—
962	C₄⋊C₄	—	2	4	no	—
963	C₄⋊C₄	—	2	4	no	—
964	C₄⋊C₄	—	2	4	no	—
965	C₄⋊C₄	—	2	4	no	—
966	C₄⋊C₄	—	2	4	no	—
967	C₄⋊C₄	—	2	4	no	—
968	C₄⋊C₄	—	2	4	no	—
969	C₄⋊C₄	—	2	4	no	—
970	C₄⋊C₄	—	2	4	no	—
971	C₄⋊C₄	—	2	4	no	—
972	C₄⋊C₄	—	2	2	no	—
973	C₄⋊C₄	—	2	4	no	—
974	C₄⋊C₄	—	2	4	no	—
975	C₄⋊C₄	—	2	2	no	—
976	C₄⋊C₄	—	2	1	no	—
977	C₄⋊C₄	—	2	1	no	—
978	C₄⋊C₄	—	2	1	no	—
979	C₄⋊C₄	—	2	1	no	—
980	C₄⋊C₄	—	2	1	no	—
981	C₄⋊C₄	—	2	1	no	—
982	C₄⋊C₄	—	2	1	no	—
983	C₄⋊C₄	—	2	1	no	—
984	C₄⋊C₄	—	2	1	no	—
985	C₄⋊C₄	—	2	1	no	—
986	C₄⋊C₄	—	2	1	no	—
987	C₄⋊C₄	—	2	1	no	—
988	C₄⋊C₄	—	2	1	no	—
989	C₄⋊C₄	—	2	1	no	—
990	C₄⋊C₄	—	2	1	no	—
991	C₄⋊C₄	—	2	1	no	—
992	C₄⋊C₄	—	4	2	no	—
993	C₄⋊C₄	—	4	2	no	—
994	C₄⋊C₄	—	4	2	no	—
995	C₄⋊C₄	—	4	2	no	—
996	C₄⋊C₄	—	8	1	no	—
997	C₄⋊C₄	—	8	1	no	—
998	C₄⋊C₄	—	8	1	no	—
999	C₄⋊C₄	—	8	1	no	—
1000	C₄⋊C₄	—	8	1	no	—
1001	C₄⋊C₄	—	8	1	no	—
1002	C₄⋊C₄	C₄×D₄	1	4	yes	—
1003	C₄⋊C₄	C₄×D₄	1	4	yes	—
1004	C₄⋊C₄	C₂³×C₄	1	2	yes	—
1005	C₄⋊C₄	C₂³×C₄	1	2	yes	—
1006	C₄⋊C₄	C₂³×C₄	1	2	yes	—
1007	C₄⋊C₄	C₂³×C₄	1	2	yes	—
1008	C₄⋊C₄	C₂×#41	1	2	yes	—
1009	C₄⋊C₄	C₂×#41	1	2	yes	—
1010	C₄⋊C₄	C₂×#41	1	2	yes	—
1011	C₄⋊C₄	C₂×#41	1	2	yes	—
1012	C₂²⋊C₄	—	2	4	no	—
1013	C₂²⋊C₄	—	2	4	no	—
1014	C₂²⋊C₄	—	2	4	no	—
1015	C₂²⋊C₄	—	2	4	no	—
1016	C₂²⋊C₄	—	2	4	no	—
1017	C₂²⋊C₄	—	2	4	no	—
1018	C₂²⋊C₄	—	2	4	no	—
1019	C₂²⋊C₄	—	2	4	no	—
1020	C₂²⋊C₄	—	2	4	no	—
1021	C₂²⋊C₄	—	2	2	no	—
1022	C₂²⋊C₄	—	2	2	no	—
1023	C₂²⋊C₄	—	8	1	no	—
1024	C₂²⋊C₄	—	8	1	no	—
1025	C₂²⋊C₄	C₄×D₄	1	4	yes	—
1026	C₂²⋊C₄	C₄×D₄	1	4	yes	—
1027	C₄²	—	2	4	no	—
1028	C₄²	—	2	4	no	—
1029	C₄²	—	2	4	no	—
1030	C₄²	—	2	4	no	—
1031	C₄²	—	2	4	no	—
1032	C₄²	—	2	4	no	—
1033	C₄²	—	2	4	no	—
1034	C₄²	—	2	2	no	—
1035	C₄²	—	2	4	no	—
1036	C₄²	—	2	2	no	—
1037	C₄²	—	2	4	no	—
1038	C₄²	—	2	2	no	—
1039	C₄²	—	2	2	no	—
1040	C₄²	—	2	2	no	—
1041	C₄²	—	2	2	no	—
1042	C₄²	—	2	1	no	—
1043	C₄²	—	2	1	no	—
1044	C₄²	—	2	1	no	—
1045	C₄²	—	2	1	no	—
1046	C₄²	—	4	1	no	—
1047	C₄²	—	4	1	no	—
1048	C₄²	—	4	1	no	—
1049	C₄²	—	4	1	no	—
1050	C₄²	—	4	2	no	—
1051	C₄²	—	4	2	no	—
1052	C₄²	—	4	2	no	—
1053	C₄²	—	4	2	no	—
1054	C₄²	—	4	2	no	—
1055	C₄²	—	4	2	no	—
1056	C₄²	—	4	2	no	—
1057	C₄²	—	4	2	no	—
1058	C₄²	—	8	1	no	—
1059	C₄²	—	8	1	no	—
1060	C₄²	—	8	1	no	—
1061	C₄²	—	8	1	no	—
1062	C₄²	—	8	1	no	—
1063	C₄²	—	8	1	no	—
1064	C₄²	—	8	1	no	—
1065	C₄²	—	8	1	no	—
1066	C₄²	—	8	1	no	—
1067	C₄²	—	8	1	no	—
1068	C₄²	—	8	1	no	—
1069	C₄²	—	8	1	no	—
1070	C₄²	—	8	1	no	—
1071	C₄²	—	8	1	no	—
1072	C₄²	C₂³×C₄	1	2	yes	—
1073	C₄²	C₂³×C₄	1	2	yes	—
1074	C₄²	C₂×#41	1	2	yes	—
1075	C₄²	C₂×#41	1	2	yes	—
1076	C₄²	C₂×#41	1	2	yes	—
1077	C₄²	C₂×#41	1	2	yes	—
1078	C₄²	C₂×#41	1	2	yes	—
1079	C₄²	C₂×#41	1	2	yes	—
1080	C₂³	—	2	1	no	—
1081	C₂³	—	2	1	no	—
1082	C₂³	—	2	2	no	—
1083	C₂³	—	2	1	no	—
1084	C₂³	—	2	1	no	—
1085	C₂³	—	2	2	no	—
1086	C₂³	—	2	2	no	—
1087	C₂³	—	2	1	no	—
1088	C₂³	—	2	1	no	—
1089	C₂³	—	4	1	no	—
1090	C₂³	—	4	1	no	—
1091	C₂³	—	4	1	no	—
1092	C₂³	—	4	1	no	—
1093	C₂³	C₂×C₄×D₄	1	2	yes	—
1094	C₂³	C₂³×D₄	1	1	yes	characteristic
1095	Q₈	—	2	2	no	—
1096	Q₈	—	2	2	no	—
1097	Q₈	—	2	2	no	—
1098	Q₈	—	2	2	no	—
1099	Q₈	—	2	2	no	—
1100	Q₈	—	2	2	no	—
1101	Q₈	—	2	2	no	—
1102	Q₈	—	4	1	no	—
1103	Q₈	—	4	1	no	—
1104	Q₈	—	4	1	no	—
1105	Q₈	—	4	1	no	—
1106	Q₈	C₄×#41	1	4	yes	—
1107	D₄	—	2	16	no	—
1108	D₄	—	2	2	no	—
1109	D₄	—	2	2	no	—
1110	D₄	—	2	2	no	—
1111	D₄	C₄×#41	1	4	yes	—
1112	C₂×C₄	—	2	16	no	—
1113	C₂×C₄	—	2	1	no	—
1114	C₂×C₄	—	2	1	no	—
1115	C₂×C₄	—	2	1	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	2	no	—
1122	C₂×C₄	—	2	1	no	—
1123	C₂×C₄	—	2	2	no	—
1124	C₂×C₄	—	2	2	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	2	no	—
1133	C₂×C₄	—	2	2	no	—
1134	C₂×C₄	—	2	2	no	—
1135	C₂×C₄	—	2	2	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	2	no	—
1141	C₂×C₄	—	2	2	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	1	no	—
1147	C₂×C₄	—	2	1	no	—
1148	C₂×C₄	—	2	1	no	—
1149	C₂×C₄	—	2	2	no	—
1150	C₂×C₄	—	2	2	no	—
1151	C₂×C₄	—	2	1	no	—
1152	C₂×C₄	—	2	2	no	—
1153	C₂×C₄	—	2	2	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	—	4	1	no	—
1159	C₂×C₄	—	4	1	no	—
1160	C₂×C₄	—	4	1	no	—
1161	C₂×C₄	—	4	1	no	—
1162	C₂×C₄	—	4	1	no	—
1163	C₂×C₄	—	4	1	no	—
1164	C₂×C₄	—	4	1	no	—
1165	C₂×C₄	—	4	1	no	—
1166	C₂×C₄	—	4	1	no	—
1167	C₂×C₄	—	4	1	no	—
1168	C₂×C₄	—	4	1	no	—
1169	C₂×C₄	—	4	1	no	—
1170	C₂×C₄	—	4	1	no	—
1171	C₂×C₄	—	4	1	no	—
1172	C₂×C₄	—	4	1	no	—
1173	C₂×C₄	—	4	1	no	—
1174	C₂×C₄	—	4	1	no	—
1175	C₂×C₄	—	4	1	no	—
1176	C₂×C₄	—	4	1	no	—
1177	C₂×C₄	—	4	1	no	—
1178	C₂×C₄	—	4	4	no	—
1179	C₂×C₄	—	4	8	no	—
1180	C₂×C₄	—	4	1	no	—
1181	C₂×C₄	—	4	1	no	—
1182	C₂×C₄	—	4	1	no	—
1183	C₂×C₄	—	4	1	no	—
1184	C₂×C₄	—	4	1	no	—
1185	C₂×C₄	—	4	1	no	—
1186	C₂×C₄	—	4	1	no	—
1187	C₂×C₄	—	4	1	no	—
1188	C₂×C₄	—	4	1	no	—
1189	C₂×C₄	—	4	1	no	—
1190	C₂×C₄	—	4	1	no	—
1191	C₂×C₄	—	4	1	no	—
1192	C₂×C₄	—	8	2	no	—
1193	C₂×C₄	—	8	4	no	—
1194	C₂×C₄	—	8	4	no	—
1195	C₂×C₄	—	8	4	no	—
1196	C₂×C₄	—	8	4	no	—
1197	C₂×C₄	—	8	4	no	—
1198	C₂×C₄	—	8	4	no	—
1199	C₂×C₄	—	8	4	no	—
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	#525	1	2	yes	—
1206	C₂×C₄	#525	1	2	yes	—
1207	C₂×C₄	#525	1	2	yes	—
1208	C₂×C₄	#525	1	2	yes	—
1209	C₂×C₄	#577	1	2	yes	—
1210	C₂×C₄	#578	1	2	yes	—
1211	C₂×C₄	C₂⁴×C₄	1	1	yes	characteristic
1212	C₂×C₄	C₂²×#41	1	1	yes	characteristic
1213	C₂×C₄	C₂²×#41	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	C₂²×#41	1	1	yes	characteristic
1217	C₈	—	2	2	no	—
1218	C₈	—	2	2	no	—
1219	C₈	—	2	2	no	—
1220	C₈	—	2	2	no	—
1221	C₈	—	4	1	no	—
1222	C₈	—	4	1	no	—
1223	C₈	—	4	1	no	—
1224	C₈	—	4	1	no	—
1225	C₂²	—	2	2	no	—
1226	C₂²	—	2	2	no	—
1227	C₂²	—	2	2	no	—
1228	C₂²	—	2	4	no	—
1229	C₂²	—	4	2	no	—
1230	C₂²	—	4	2	no	—
1231	C₂²	—	4	1	no	—
1232	C₂²	—	4	2	no	—
1233	C₂²	—	4	1	no	—
1234	C₂²	—	4	2	no	—
1235	C₂²	—	4	1	no	—
1236	C₂²	—	4	2	no	—
1237	C₂²	—	4	1	no	—
1238	C₂²	—	4	2	no	—
1239	C₂²	C₂²×C₄×D₄	1	1	yes	characteristic
1240	C₂²	C₂×#525	1	1	yes	characteristic
1241	C₂²	C₂×#525	1	1	yes	characteristic
1242	C₂²	C₂×#577	1	1	yes	characteristic
1243	C₂²	C₂×#578	1	1	yes	characteristic
1244	C₂²	#3584	1	1	yes	characteristic
1245	C₂²	#3584	1	1	yes	characteristic
1246	C₄	—	2	2	no	—
1247	C₄	—	2	2	no	—
1248	C₄	—	2	2	no	—
1249	C₄	—	2	2	no	—
1250	C₄	—	2	2	no	—
1251	C₄	—	2	2	no	—
1252	C₄	—	2	2	no	—
1253	C₄	—	2	2	no	—
1254	C₄	—	2	4	no	—
1255	C₄	—	4	2	no	—
1256	C₄	—	4	2	no	—
1257	C₄	—	4	2	no	—
1258	C₄	—	4	2	no	—
1259	C₄	—	4	1	no	—
1260	C₄	—	4	2	no	—
1261	C₄	—	4	1	no	—
1262	C₄	—	4	2	no	—
1263	C₄	—	4	1	no	—
1264	C₄	—	4	2	no	—
1265	C₄	—	4	2	no	—
1266	C₄	—	4	1	no	—
1267	C₄	—	4	2	no	—
1268	C₄	—	4	2	no	—
1269	C₄	—	8	1	no	—
1270	C₄	—	8	1	no	—
1271	C₄	—	8	1	no	—
1272	C₄	—	8	1	no	—
1273	C₄	#3120	1	4	yes	direct product factor
1274	C₄	C₂×C₄×#41	1	1	yes	characteristic
1275	C₄	C₂×C₄×#41	1	1	yes	characteristic
1276	C₄	#3444	1	1	yes	characteristic
1277	C₄	#3444	1	1	yes	characteristic
1278	C₂	—	4	2	no	—
1279	C₂	—	4	4	no	—
1280	C₂	C₄×#525	1	1	yes	characteristic
1281	C₂	C₄×#577	1	1	yes	characteristic
1282	C₂	C₄×#578	1	1	yes	characteristic
1283	C₂	C₂×#3120	1	1	yes	characteristic
1284	C₂	#60557	1	1	yes	characteristic
1285	C₂	#60571	1	1	yes	characteristic
1286	C₂	#60573	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₄	C₂²×D₄
commutator	C₂×C₄	C₂⁴×C₄
Frattini, cosocle	C₂²×C₄	C₂⁵
socle	C₂³	C₂³×D₄
prime radical	C₂²×#41	C₂³
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₄ ◁ C₄×#117 ◁ G
LECS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁

Complements

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

N	H ≅ G/N	type
2. C₄×#541	C₂	semidirect
4. #21622	C₂	semidirect
5. #21620	C₂	semidirect
6. C₄×#479	C₂	semidirect
7. C₄×#478	C₂	semidirect
8. #21587	C₂	semidirect
9. #21585	C₂	semidirect
10. C₄×#484	C₂	semidirect
11. C₄×#483	C₂	semidirect
12. #21516	C₂	semidirect
13. #21514	C₂	semidirect
14. C₄×#462	C₂	semidirect
15. C₄×#461	C₂	semidirect
20. #21398	C₂	semidirect
21. #21367	C₂	semidirect
22. #21132	C₂	semidirect
23. #21130	C₂	semidirect
24. #21127	C₂	semidirect
25. #21125	C₂	semidirect
27. C₄×#441	C₂	semidirect
28. C₄×#440	C₂	semidirect
29. C₄²×Q₁₆	C₂	semidirect
30. C₄²×SD₁₆	C₂	semidirect
31. C₄×#433	C₂	semidirect
36. #3120	C₄	direct (N × H)
210. #541	C₂×C₄	semidirect
264. #484	C₂×C₄	semidirect
265. #483	C₂×C₄	semidirect
266. #479	C₂×C₄	semidirect
267. #478	C₂×C₄	semidirect
268. #462	C₂×C₄	semidirect
269. #461	C₂×C₄	semidirect
273. #441	C₂×C₄	semidirect
275. #440	C₂×C₄	semidirect
279. C₄×Q₁₆	C₂×C₄	semidirect
283. C₄×SD₁₆	C₂×C₄	semidirect
285. #433	C₂×C₄	semidirect
1273. C₄	#3120	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×#3120	2
C₄×#541	2
C₄×#520	2
#21622	2
#21620	2
C₄×#479	2
C₄×#478	2
#21587	2
#21585	2
C₄×#484	2
C₄×#483	2
#21516	2
#21514	2
C₄×#462	2
C₄×#461	2
#21465	2
#21461	2
C₄×#452	2
#21398	2
#21367	2
#21132	2
#21130	2
#21127	2
#21125	2
#20746	2
C₄×#441	2
C₄×#440	2
C₄²×Q₁₆	2
C₄²×SD₁₆	2
C₄×#433	2

Subgroups — C4×#3120 #6373401

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₄×#3120 #6373401