Subgroups — #45529

Order 256.

1210 conjugacy classes of subgroups.

The subgroup lattice has 889 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#2849	C₂	1	1	yes	maximal, characteristic, complemented
2	#2847	C₂	1	1	yes	maximal, characteristic, complemented
3	#2825	C₂	1	1	yes	maximal, characteristic, complemented
4	#2824	C₂	1	1	yes	maximal, characteristic, complemented
5	#2784	C₂	1	1	yes	maximal, characteristic, complemented
6	#2778	C₂	1	1	yes	maximal, characteristic, complemented
7	#2760	C₂	1	1	yes	maximal, characteristic, complemented
8	#2749	C₂	1	1	yes	maximal, characteristic, complemented
9	#2737	C₂	1	1	yes	maximal, characteristic, complemented
10	#2709	C₂	1	1	yes	maximal, characteristic, complemented
11	#2703	C₂	1	1	yes	maximal, characteristic, complemented
12	#2693	C₂	1	1	yes	maximal, characteristic, complemented
13	#2688	C₂	1	1	yes	maximal, characteristic, complemented
14	#2688	C₂	1	1	yes	maximal, characteristic, complemented
15	#2673	C₂	1	1	yes	maximal, characteristic, complemented
16	#2673	C₂	1	1	yes	maximal, characteristic, complemented
17	#2534	C₂	1	1	yes	maximal, characteristic, complemented
18	#2510	C₂	1	1	yes	maximal, characteristic, complemented
19	#2493	C₂	1	1	yes	maximal, characteristic, complemented
20	#2444	C₂	1	1	yes	maximal, characteristic, complemented
21	#2433	C₂	1	1	yes	maximal, characteristic, complemented
22	#2430	C₂	1	1	yes	maximal, characteristic, complemented
23	#2424	C₂	1	1	yes	maximal, characteristic, complemented
24	#2412	C₂	1	1	yes	maximal, characteristic, complemented
25	#2412	C₂	1	1	yes	maximal, characteristic, complemented
26	#2410	C₂	1	1	yes	maximal, characteristic, complemented
27	#2404	C₂	1	1	yes	maximal, characteristic, complemented
28	#2404	C₂	1	1	yes	maximal, characteristic, complemented
29	#2380	C₂	1	1	yes	maximal, characteristic, complemented
30	#2377	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#386	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×#41	C₂²	1	1	yes	characteristic
33	C₂³×D₄	C₂²	1	1	yes	characteristic
34	C₂⁴×C₄	C₂²	1	1	yes	characteristic
35	C₂×#127	C₂²	1	1	yes	characteristic
36	C₂×#127	C₂²	1	1	yes	characteristic
37	C₂×#123	C₂²	1	1	yes	characteristic
38	C₂×#123	C₂²	1	1	yes	characteristic, complemented
39	C₂×#123	C₂²	1	1	yes	characteristic, complemented
40	C₂×#123	C₂²	1	1	yes	characteristic, complemented
41	C₂×#121	C₂²	1	1	yes	characteristic
42	C₂×#121	C₂²	1	1	yes	characteristic
43	C₂×#121	C₂²	1	1	yes	characteristic
44	C₂×#121	C₂²	1	1	yes	characteristic
45	C₂×#121	C₂²	1	1	yes	characteristic, complemented
46	C₂×#121	C₂²	1	1	yes	characteristic, complemented
47	C₂×#121	C₂²	1	1	yes	characteristic, complemented
48	C₂×#120	C₂²	1	1	yes	characteristic
49	C₂×#120	C₂²	1	1	yes	characteristic
50	C₂×#120	C₂²	1	1	yes	characteristic
51	C₂×#120	C₂²	1	1	yes	characteristic
52	C₂×#120	C₂²	1	1	yes	characteristic
53	C₂×#120	C₂²	1	1	yes	characteristic
54	C₂×C₄×D₄	C₂²	1	1	yes	characteristic
55	C₂²×C₂²⋊C₄	C₂²	1	1	yes	characteristic
56	C₂²×C₂²⋊C₄	C₂²	1	1	yes	characteristic
57	C₂²×C₂²⋊C₄	C₂²	1	1	yes	characteristic
58	C₂²×C₂²⋊C₄	C₂²	1	1	yes	characteristic
59	#401	C₂²	1	1	yes	characteristic, complemented
60	#401	C₂²	1	1	yes	characteristic, complemented
61	#400	C₂²	1	1	yes	characteristic, complemented
62	#400	C₂²	1	1	yes	characteristic, complemented
63	#400	C₂²	1	1	yes	characteristic, complemented
64	#400	C₂²	1	1	yes	characteristic, complemented
65	#400	C₂²	1	1	yes	characteristic, complemented
66	#397	C₂²	1	1	yes	characteristic, complemented
67	#397	C₂²	1	1	yes	characteristic, complemented
68	#397	C₂²	1	1	yes	characteristic, complemented
69	#397	C₂²	1	1	yes	characteristic, complemented
70	#397	C₂²	1	1	yes	characteristic, complemented
71	#397	C₂²	1	1	yes	characteristic, complemented
72	#397	C₂²	1	1	yes	characteristic, complemented
73	#397	C₂²	1	1	yes	characteristic, complemented
74	#396	C₂²	1	1	yes	characteristic, complemented
75	#396	C₂²	1	1	yes	characteristic, complemented
76	#396	C₂²	1	1	yes	characteristic, complemented
77	#395	C₂²	1	1	yes	characteristic, complemented
78	#394	C₂²	1	1	yes	characteristic
79	#394	C₂²	1	1	yes	characteristic
80	#394	C₂²	1	1	yes	characteristic, complemented
81	#394	C₂²	1	1	yes	characteristic, complemented
82	#394	C₂²	1	1	yes	characteristic, complemented
83	#394	C₂²	1	1	yes	characteristic, complemented
84	#394	C₂²	1	1	yes	characteristic, complemented
85	#394	C₂²	1	1	yes	characteristic, complemented
86	#394	C₂²	1	1	yes	characteristic, complemented
87	#394	C₂²	1	1	yes	characteristic, complemented
88	#394	C₂²	1	1	yes	characteristic, complemented
89	#394	C₂²	1	1	yes	characteristic, complemented
90	#393	C₂²	1	1	yes	characteristic, complemented
91	#393	C₂²	1	1	yes	characteristic, complemented
92	#393	C₂²	1	1	yes	characteristic, complemented
93	#393	C₂²	1	1	yes	characteristic, complemented
94	#393	C₂²	1	1	yes	characteristic, complemented
95	#392	C₂²	1	1	yes	characteristic
96	#392	C₂²	1	1	yes	characteristic
97	#392	C₂²	1	1	yes	characteristic
98	#392	C₂²	1	1	yes	characteristic
99	#392	C₂²	1	1	yes	characteristic
100	#392	C₂²	1	1	yes	characteristic
101	#392	C₂²	1	1	yes	characteristic, complemented
102	#392	C₂²	1	1	yes	characteristic, complemented
103	#392	C₂²	1	1	yes	characteristic, complemented
104	#392	C₂²	1	1	yes	characteristic, complemented
105	#392	C₂²	1	1	yes	characteristic, complemented
106	#392	C₂²	1	1	yes	characteristic, complemented
107	#390	C₂²	1	1	yes	characteristic
108	#390	C₂²	1	1	yes	characteristic
109	#390	C₂²	1	1	yes	characteristic, complemented
110	#388	C₂²	1	1	yes	characteristic, complemented
111	#388	C₂²	1	1	yes	characteristic, complemented
112	#388	C₂²	1	1	yes	characteristic, complemented
113	#388	C₂²	1	1	yes	characteristic, complemented
114	#388	C₂²	1	1	yes	characteristic, complemented
115	#388	C₂²	1	1	yes	characteristic, complemented
116	#387	C₂²	1	1	yes	characteristic, complemented
117	#387	C₂²	1	1	yes	characteristic, complemented
118	#387	C₂²	1	1	yes	characteristic, complemented
119	#387	C₂²	1	1	yes	characteristic, complemented
120	#387	C₂²	1	1	yes	characteristic, complemented
121	#386	C₂²	1	1	yes	characteristic
122	#386	C₂²	1	1	yes	characteristic
123	#386	C₂²	1	1	yes	characteristic
124	#386	C₂²	1	1	yes	characteristic
125	#386	C₂²	1	1	yes	characteristic
126	#386	C₂²	1	1	yes	characteristic
127	#386	C₂²	1	1	yes	characteristic
128	#386	C₂²	1	1	yes	characteristic
129	#386	C₂²	1	1	yes	characteristic
130	#386	C₂²	1	1	yes	characteristic
131	#386	C₂²	1	1	yes	characteristic
132	#386	C₂²	1	1	yes	characteristic
133	#386	C₂²	1	1	yes	characteristic
134	#386	C₂²	1	1	yes	characteristic
135	#386	C₂²	1	1	yes	characteristic
136	#386	C₂²	1	1	yes	characteristic
137	#386	C₂²	1	1	yes	characteristic
138	#386	C₂²	1	1	yes	characteristic, complemented
139	#386	C₂²	1	1	yes	characteristic, complemented
140	#386	C₂²	1	1	yes	characteristic, complemented
141	#386	C₂²	1	1	yes	characteristic, complemented
142	#386	C₂²	1	1	yes	characteristic, complemented
143	#386	C₂²	1	1	yes	characteristic, complemented
144	#386	C₂²	1	1	yes	characteristic, complemented
145	#386	C₂²	1	1	yes	characteristic, complemented
146	#386	C₂²	1	1	yes	characteristic, complemented
147	#386	C₂²	1	1	yes	characteristic, complemented
148	#386	C₂²	1	1	yes	characteristic, complemented
149	#386	C₂²	1	1	yes	characteristic, complemented
150	#386	C₂²	1	1	yes	characteristic, complemented
151	#386	C₂²	1	1	yes	characteristic, complemented
152	#386	C₂²	1	1	yes	characteristic, complemented
153	#386	C₂²	1	1	yes	characteristic, complemented
154	#386	C₂²	1	1	yes	characteristic, complemented
155	#386	C₂²	1	1	yes	characteristic, complemented
156	#386	C₂²	1	1	yes	characteristic, complemented
157	#386	C₂²	1	1	yes	characteristic, complemented
158	#386	C₂²	1	1	yes	characteristic, complemented
159	#386	C₂²	1	1	yes	characteristic, complemented
160	#386	C₂²	1	1	yes	characteristic, complemented
161	#385	C₂²	1	1	yes	characteristic
162	#385	C₂²	1	1	yes	characteristic
163	#385	C₂²	1	1	yes	characteristic
164	#385	C₂²	1	1	yes	characteristic, complemented
165	#385	C₂²	1	1	yes	characteristic, complemented
166	#385	C₂²	1	1	yes	characteristic, complemented
167	#385	C₂²	1	1	yes	characteristic, complemented
168	#385	C₂²	1	1	yes	characteristic, complemented
169	#383	C₂²	1	1	yes	characteristic, complemented
170	#383	C₂²	1	1	yes	characteristic, complemented
171	#381	C₂²	1	1	yes	characteristic
172	#381	C₂²	1	1	yes	characteristic
173	#381	C₂²	1	1	yes	characteristic, complemented
174	#381	C₂²	1	1	yes	characteristic, complemented
175	#381	C₂²	1	1	yes	characteristic, complemented
176	#381	C₂²	1	1	yes	characteristic, complemented
177	#380	C₂²	1	1	yes	characteristic
178	#380	C₂²	1	1	yes	characteristic
179	#380	C₂²	1	1	yes	characteristic, complemented
180	#380	C₂²	1	1	yes	characteristic, complemented
181	#380	C₂²	1	1	yes	characteristic, complemented
182	#380	C₂²	1	1	yes	characteristic, complemented
183	#379	C₂²	1	1	yes	characteristic
184	C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
185	C₂×#95	C₂²	1	1	yes	characteristic
186	C₂×#95	C₂²	1	1	yes	characteristic
187	C₂⁵	C₂³	1	1	yes	characteristic
188	C₂⁵	C₂³	1	1	yes	characteristic
189	C₂×#41	—	4	2	no	—
190	C₂×#41	—	4	2	no	—
191	C₂×#41	—	4	2	no	—
192	C₂²×Q₈	C₂³	1	1	yes	characteristic
193	C₂²×D₄	—	2	4	no	—
194	C₂²×D₄	—	4	2	no	—
195	C₂²×D₄	—	4	2	no	—
196	C₂²×D₄	C₂³	1	1	yes	characteristic
197	C₂²×D₄	C₂³	1	1	yes	characteristic
198	C₂²×D₄	C₂³	1	1	yes	characteristic
199	C₂²×D₄	C₂³	1	1	yes	characteristic
200	C₂²×D₄	C₂³	1	1	yes	characteristic
201	C₂²×D₄	C₂³	1	1	yes	characteristic
202	C₂²×D₄	C₂³	1	1	yes	characteristic
203	C₂²×D₄	C₂³	1	1	yes	characteristic
204	C₂²×D₄	C₂³	1	1	yes	characteristic
205	C₂²×D₄	C₂³	1	1	yes	characteristic
206	C₂²×D₄	C₂³	1	1	yes	characteristic
207	C₂²×D₄	C₂³	1	1	yes	characteristic
208	C₂²×D₄	C₂³	1	1	yes	characteristic
209	C₂²×D₄	C₂³	1	1	yes	characteristic
210	C₂²×D₄	C₂³	1	1	yes	characteristic
211	C₂²×D₄	C₂³	1	1	yes	characteristic
212	C₂²×D₄	C₂³	1	1	yes	characteristic
213	C₂²×D₄	C₂³	1	1	yes	characteristic
214	C₂²×D₄	C₂³	1	1	yes	characteristic
215	C₂²×D₄	C₂³	1	1	yes	characteristic
216	C₂²×D₄	C₂³	1	1	yes	characteristic
217	C₂²×D₄	C₂³	1	1	yes	characteristic
218	C₂³×C₄	—	4	2	no	—
219	C₂³×C₄	—	4	2	no	—
220	C₂³×C₄	—	4	2	no	—
221	C₂³×C₄	C₂³	1	1	yes	characteristic
222	C₂³×C₄	C₂³	1	1	yes	characteristic
223	C₂³×C₄	C₂³	1	1	yes	characteristic
224	C₂³×C₄	C₂³	1	1	yes	characteristic
225	C₂³×C₄	C₂³	1	1	yes	characteristic
226	C₂³×C₄	C₂³	1	1	yes	characteristic
227	C₂³×C₄	C₂³	1	1	yes	characteristic
228	C₂³×C₄	C₂³	1	1	yes	characteristic
229	C₂³×C₄	C₂³	1	1	yes	characteristic
230	C₂³×C₄	C₂³	1	1	yes	characteristic
231	C₂³×C₄	C₂³	1	1	yes	characteristic
232	C₂³×C₄	C₂³	1	1	yes	characteristic
233	C₂³×C₄	C₂³	1	1	yes	characteristic
234	C₂³×C₄	C₂³	1	1	yes	characteristic
235	#127	—	2	4	no	—
236	#127	—	4	2	no	—
237	#123	—	4	2	no	—
238	#123	—	4	2	no	—
239	#123	—	4	2	no	—
240	#123	—	4	2	no	—
241	#121	—	2	4	no	—
242	#121	—	4	2	no	—
243	#121	—	4	2	no	—
244	#121	—	4	2	no	—
245	#121	—	4	2	no	—
246	#121	—	4	2	no	—
247	#121	—	4	2	no	—
248	#120	—	4	2	no	—
249	#120	—	4	2	no	—
250	#120	—	4	2	no	—
251	#120	—	4	2	no	—
252	#120	—	4	2	no	—
253	#120	—	4	2	no	—
254	C₄×D₄	—	4	2	no	—
255	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
256	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
257	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
258	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
259	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
260	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
261	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
262	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
263	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
264	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
265	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
266	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
267	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
268	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
269	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
270	C₂×C₂²⋊C₄	—	4	2	no	—
271	C₂×C₂²⋊C₄	—	4	2	no	—
272	C₂×C₂²⋊C₄	—	4	2	no	—
273	C₂×C₂²⋊C₄	—	4	2	no	—
274	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
275	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
276	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
277	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
278	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
279	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
280	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
281	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
282	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
283	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
284	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
285	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
286	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
287	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
288	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
289	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
290	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
291	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
292	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
293	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
294	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
295	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
296	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
297	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
298	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
299	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
300	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
301	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
302	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
303	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
304	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
305	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
306	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
307	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
308	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
309	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
310	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
311	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
312	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
313	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
314	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
315	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
316	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
317	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
318	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
319	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
320	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
321	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
322	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
323	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
324	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
325	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
326	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
327	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
328	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
329	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
330	C₂×C₄²	C₂³	1	1	yes	characteristic
331	C₂×C₄²	C₂³	1	1	yes	characteristic
332	C₂×C₄²	C₂³	1	1	yes	characteristic
333	#95	C₂³	1	1	yes	characteristic
334	#95	C₂³	1	1	yes	characteristic
335	#95	C₂³	1	1	yes	characteristic
336	#95	C₂³	1	1	yes	characteristic
337	#95	C₂³	1	1	yes	characteristic
338	#95	C₂³	1	1	yes	characteristic
339	#95	C₂³	1	1	yes	characteristic
340	#95	C₂³	1	1	yes	characteristic
341	#95	C₂³	1	1	yes	characteristic
342	#95	C₂³	1	1	yes	characteristic
343	#95	C₂³	1	1	yes	characteristic
344	#95	C₂³	1	1	yes	characteristic
345	#95	C₂³	1	1	yes	characteristic
346	#95	C₂³	1	1	yes	characteristic
347	#95	C₂³	1	1	yes	characteristic
348	#95	C₂³	1	1	yes	characteristic
349	#95	C₂³	1	1	yes	characteristic
350	#95	C₂³	1	1	yes	characteristic
351	#95	C₂³	1	1	yes	characteristic
352	#95	C₂³	1	1	yes	characteristic
353	#95	C₂³	1	1	yes	characteristic
354	#95	C₂³	1	1	yes	characteristic
355	#95	C₂³	1	1	yes	characteristic
356	#95	C₂³	1	1	yes	characteristic
357	#95	C₂³	1	1	yes	characteristic
358	#95	C₂³	1	1	yes	characteristic
359	#95	C₂³	1	1	yes	characteristic
360	#95	C₂³	1	1	yes	characteristic
361	#95	C₂³	1	1	yes	characteristic
362	#95	C₂³	1	1	yes	characteristic
363	#95	C₂³	1	1	yes	characteristic
364	#95	C₂³	1	1	yes	characteristic
365	#95	C₂³	1	1	yes	characteristic
366	#95	C₂³	1	1	yes	characteristic
367	#95	C₂³	1	1	yes	characteristic
368	#95	C₂³	1	1	yes	characteristic
369	#95	C₂³	1	1	yes	characteristic
370	#95	C₂³	1	1	yes	characteristic
371	#95	C₂³	1	1	yes	characteristic
372	#95	C₂³	1	1	yes	characteristic
373	#95	C₂³	1	1	yes	characteristic
374	#95	C₂³	1	1	yes	characteristic
375	C₂⁴	—	2	2	no	—
376	C₂⁴	—	2	2	no	—
377	C₂⁴	—	2	2	no	—
378	C₂⁴	—	2	2	no	—
379	C₂⁴	—	2	2	no	—
380	C₂⁴	—	2	2	no	—
381	C₂⁴	—	2	2	no	—
382	C₂⁴	—	2	2	no	—
383	C₂⁴	—	2	2	no	—
384	C₂⁴	—	4	1	no	—
385	C₂⁴	—	4	1	no	—
386	C₂⁴	—	4	1	no	—
387	C₂⁴	—	4	1	no	—
388	C₂⁴	—	4	1	no	—
389	C₂⁴	C₂⁴	1	1	yes	characteristic
390	C₂⁴	C₂⁴	1	1	yes	characteristic
391	C₂⁴	C₂⁴	1	1	yes	characteristic
392	C₂⁴	C₂⁴	1	1	yes	characteristic
393	C₂⁴	C₂⁴	1	1	yes	characteristic
394	C₂⁴	C₂⁴	1	1	yes	characteristic
395	C₂⁴	C₂⁴	1	1	yes	characteristic
396	C₂⁴	C₂⁴	1	1	yes	characteristic
397	#41	—	4	16	no	—
398	C₂×Q₈	—	4	1	no	—
399	C₂×Q₈	—	4	1	no	—
400	C₂×Q₈	—	4	1	no	—
401	C₂×D₄	—	2	2	no	—
402	C₂×D₄	—	2	2	no	—
403	C₂×D₄	—	2	2	no	—
404	C₂×D₄	—	2	2	no	—
405	C₂×D₄	—	2	2	no	—
406	C₂×D₄	—	2	2	no	—
407	C₂×D₄	—	2	2	no	—
408	C₂×D₄	—	2	2	no	—
409	C₂×D₄	—	2	2	no	—
410	C₂×D₄	—	2	2	no	—
411	C₂×D₄	—	2	2	no	—
412	C₂×D₄	—	2	2	no	—
413	C₂×D₄	—	2	2	no	—
414	C₂×D₄	—	2	2	no	—
415	C₂×D₄	—	2	2	no	—
416	C₂×D₄	—	2	2	no	—
417	C₂×D₄	—	2	2	no	—
418	C₂×D₄	—	2	2	no	—
419	C₂×D₄	—	2	2	no	—
420	C₂×D₄	—	2	2	no	—
421	C₂×D₄	—	2	2	no	—
422	C₂×D₄	—	2	2	no	—
423	C₂×D₄	—	2	2	no	—
424	C₂×D₄	—	2	2	no	—
425	C₂×D₄	—	2	2	no	—
426	C₂×D₄	—	4	1	no	—
427	C₂×D₄	—	4	1	no	—
428	C₂×D₄	—	4	1	no	—
429	C₂×D₄	—	4	1	no	—
430	C₂×D₄	—	4	1	no	—
431	C₂×D₄	—	4	1	no	—
432	C₂×D₄	—	4	1	no	—
433	C₂×D₄	—	4	1	no	—
434	C₂×D₄	—	4	1	no	—
435	C₂×D₄	—	4	1	no	—
436	C₂×D₄	—	4	1	no	—
437	C₂×D₄	—	4	1	no	—
438	C₂×D₄	—	4	1	no	—
439	C₂×D₄	—	4	1	no	—
440	C₂×D₄	—	4	1	no	—
441	C₂×D₄	—	4	1	no	—
442	C₂×D₄	—	4	1	no	—
443	C₂×D₄	—	4	1	no	—
444	C₂×D₄	—	4	1	no	—
445	C₂×D₄	—	4	1	no	—
446	C₂×D₄	—	4	1	no	—
447	C₂×D₄	—	4	1	no	—
448	C₂×D₄	—	4	1	no	—
449	C₂×D₄	—	4	1	no	—
450	C₂×D₄	—	4	1	no	—
451	C₂×D₄	—	4	1	no	—
452	C₂×D₄	—	4	1	no	—
453	C₂×D₄	—	4	1	no	—
454	C₂×D₄	—	4	1	no	—
455	C₂×D₄	—	4	1	no	—
456	C₂×D₄	—	4	1	no	—
457	C₂×D₄	—	4	1	no	—
458	C₂×D₄	—	4	1	no	—
459	C₂×D₄	—	4	1	no	—
460	C₂×D₄	—	4	1	no	—
461	C₂×D₄	—	4	1	no	—
462	C₂×D₄	—	4	1	no	—
463	C₂×D₄	—	4	1	no	—
464	C₂×D₄	—	4	1	no	—
465	C₂×D₄	—	4	1	no	—
466	C₂×D₄	—	4	16	no	—
467	C₂×D₄	#41	1	4	yes	complemented
468	C₂²×C₄	—	2	2	no	—
469	C₂²×C₄	—	2	2	no	—
470	C₂²×C₄	—	2	2	no	—
471	C₂²×C₄	—	2	2	no	—
472	C₂²×C₄	—	2	2	no	—
473	C₂²×C₄	—	2	2	no	—
474	C₂²×C₄	—	2	2	no	—
475	C₂²×C₄	—	2	2	no	—
476	C₂²×C₄	—	2	2	no	—
477	C₂²×C₄	—	2	2	no	—
478	C₂²×C₄	—	2	2	no	—
479	C₂²×C₄	—	2	2	no	—
480	C₂²×C₄	—	2	2	no	—
481	C₂²×C₄	—	2	2	no	—
482	C₂²×C₄	—	4	1	no	—
483	C₂²×C₄	—	4	1	no	—
484	C₂²×C₄	—	4	1	no	—
485	C₂²×C₄	—	4	1	no	—
486	C₂²×C₄	—	4	1	no	—
487	C₂²×C₄	—	4	1	no	—
488	C₂²×C₄	—	4	1	no	—
489	C₂²×C₄	—	4	1	no	—
490	C₂²×C₄	—	4	1	no	—
491	C₂²×C₄	—	4	1	no	—
492	C₂²×C₄	—	4	1	no	—
493	C₂²×C₄	—	4	1	no	—
494	C₂²×C₄	—	4	1	no	—
495	C₂²×C₄	—	4	1	no	—
496	C₂²×C₄	—	4	1	no	—
497	C₂²×C₄	—	4	1	no	—
498	C₂²×C₄	—	4	1	no	—
499	C₂²×C₄	—	4	1	no	—
500	C₂²×C₄	—	4	1	no	—
501	C₂²×C₄	—	4	1	no	—
502	C₂²×C₄	—	4	1	no	—
503	C₂²×C₄	—	4	1	no	—
504	C₂²×C₄	—	4	1	no	—
505	C₂²×C₄	—	4	1	no	—
506	C₂²×C₄	—	4	1	no	—
507	C₂²×C₄	—	4	1	no	—
508	C₂²×C₄	—	4	1	no	—
509	C₂²×C₄	—	4	1	no	—
510	C₂²×C₄	—	4	16	no	—
511	C₂²×C₄	C₂⁴	1	1	yes	characteristic
512	C₂²×C₄	C₂⁴	1	1	yes	characteristic
513	C₂²×C₄	C₂⁴	1	1	yes	characteristic
514	C₂²×C₄	C₂⁴	1	1	yes	characteristic
515	C₂²×C₄	C₂⁴	1	1	yes	characteristic
516	C₂²×C₄	C₂⁴	1	1	yes	characteristic
517	C₂²×C₄	C₂⁴	1	1	yes	characteristic
518	C₂²×C₄	C₂⁴	1	1	yes	characteristic
519	C₂²×C₄	C₂⁴	1	1	yes	characteristic
520	C₂²×C₄	C₂⁴	1	1	yes	characteristic
521	C₂²×C₄	C₂⁴	1	1	yes	characteristic
522	C₂²×C₄	C₂⁴	1	1	yes	characteristic
523	C₂²×C₄	C₂⁴	1	1	yes	characteristic
524	C₂²×C₄	C₂⁴	1	1	yes	characteristic
525	C₂²×C₄	C₂⁴	1	1	yes	characteristic
526	C₂²×C₄	C₂⁴	1	1	yes	characteristic
527	C₂²×C₄	C₂⁴	1	1	yes	characteristic
528	C₂²×C₄	C₂⁴	1	1	yes	characteristic
529	C₂²×C₄	C₂⁴	1	1	yes	characteristic
530	C₂²×C₄	C₂⁴	1	1	yes	characteristic
531	C₂²×C₄	C₂⁴	1	1	yes	characteristic
532	C₂²×C₄	C₂⁴	1	1	yes	characteristic
533	C₂²×C₄	C₂⁴	1	1	yes	characteristic
534	C₄⋊C₄	—	2	2	no	—
535	C₄⋊C₄	—	2	2	no	—
536	C₄⋊C₄	—	2	2	no	—
537	C₄⋊C₄	—	4	1	no	—
538	C₄⋊C₄	—	4	1	no	—
539	C₄⋊C₄	—	4	1	no	—
540	C₄⋊C₄	—	4	1	no	—
541	C₄⋊C₄	—	4	1	no	—
542	C₄⋊C₄	—	4	1	no	—
543	C₄⋊C₄	—	4	1	no	—
544	C₄⋊C₄	—	4	1	no	—
545	C₄⋊C₄	—	4	1	no	—
546	C₄⋊C₄	—	4	1	no	—
547	C₄⋊C₄	—	4	1	no	—
548	C₄⋊C₄	—	4	1	no	—
549	C₂²⋊C₄	—	2	2	no	—
550	C₂²⋊C₄	—	2	2	no	—
551	C₂²⋊C₄	—	2	2	no	—
552	C₂²⋊C₄	—	2	2	no	—
553	C₂²⋊C₄	—	2	2	no	—
554	C₂²⋊C₄	—	2	2	no	—
555	C₂²⋊C₄	—	2	2	no	—
556	C₂²⋊C₄	—	2	2	no	—
557	C₂²⋊C₄	—	2	2	no	—
558	C₂²⋊C₄	—	2	2	no	—
559	C₂²⋊C₄	—	2	2	no	—
560	C₂²⋊C₄	—	4	1	no	—
561	C₂²⋊C₄	—	4	1	no	—
562	C₂²⋊C₄	—	4	1	no	—
563	C₂²⋊C₄	—	4	1	no	—
564	C₂²⋊C₄	—	4	1	no	—
565	C₂²⋊C₄	—	4	1	no	—
566	C₂²⋊C₄	—	4	1	no	—
567	C₂²⋊C₄	—	4	1	no	—
568	C₂²⋊C₄	—	4	1	no	—
569	C₂²⋊C₄	—	4	1	no	—
570	C₂²⋊C₄	—	4	1	no	—
571	C₂²⋊C₄	—	4	1	no	—
572	C₂²⋊C₄	—	4	1	no	—
573	C₂²⋊C₄	—	4	1	no	—
574	C₂²⋊C₄	—	4	1	no	—
575	C₂²⋊C₄	—	4	1	no	—
576	C₂²⋊C₄	—	4	1	no	—
577	C₂²⋊C₄	—	4	1	no	—
578	C₂²⋊C₄	—	4	1	no	—
579	C₂²⋊C₄	—	4	1	no	—
580	C₂²⋊C₄	—	4	1	no	—
581	C₂²⋊C₄	—	4	1	no	—
582	C₂²⋊C₄	—	4	1	no	—
583	C₂²⋊C₄	—	4	1	no	—
584	C₂²⋊C₄	—	4	1	no	—
585	C₂²⋊C₄	—	4	1	no	—
586	C₂²⋊C₄	—	4	1	no	—
587	C₂²⋊C₄	—	4	1	no	—
588	C₂²⋊C₄	—	4	1	no	—
589	C₂²⋊C₄	—	4	1	no	—
590	C₂²⋊C₄	—	4	1	no	—
591	C₂²⋊C₄	—	4	1	no	—
592	C₂²⋊C₄	—	4	1	no	—
593	C₂²⋊C₄	—	4	1	no	—
594	C₂²⋊C₄	—	4	1	no	—
595	C₂²⋊C₄	—	4	1	no	—
596	C₂²⋊C₄	—	4	1	no	—
597	C₂²⋊C₄	—	4	1	no	—
598	C₂²⋊C₄	—	4	1	no	—
599	C₂²⋊C₄	—	4	1	no	—
600	C₂²⋊C₄	—	4	1	no	—
601	C₂²⋊C₄	—	4	1	no	—
602	C₂²⋊C₄	—	4	1	no	—
603	C₂²⋊C₄	—	4	1	no	—
604	C₂²⋊C₄	—	4	1	no	—
605	C₄²	—	2	2	no	—
606	C₄²	—	4	1	no	—
607	C₄²	—	4	1	no	—
608	C₂³	—	2	1	no	—
609	C₂³	—	2	1	no	—
610	C₂³	—	2	1	no	—
611	C₂³	—	2	1	no	—
612	C₂³	—	2	8	no	—
613	C₂³	—	2	1	no	—
614	C₂³	—	2	1	no	—
615	C₂³	—	2	1	no	—
616	C₂³	—	2	1	no	—
617	C₂³	—	2	1	no	—
618	C₂³	—	2	1	no	—
619	C₂³	—	2	1	no	—
620	C₂³	—	2	1	no	—
621	C₂³	—	2	1	no	—
622	C₂³	—	2	1	no	—
623	C₂³	—	2	1	no	—
624	C₂³	—	2	1	no	—
625	C₂³	—	2	1	no	—
626	C₂³	—	2	1	no	—
627	C₂³	—	2	1	no	—
628	C₂³	—	2	1	no	—
629	C₂³	—	2	1	no	—
630	C₂³	—	2	1	no	—
631	C₂³	—	2	1	no	—
632	C₂³	—	2	1	no	—
633	C₂³	—	2	1	no	—
634	C₂³	—	2	1	no	—
635	C₂³	—	2	1	no	—
636	C₂³	—	2	1	no	—
637	C₂³	—	2	1	no	—
638	C₂³	—	2	1	no	—
639	C₂³	—	2	1	no	—
640	C₂³	—	2	1	no	—
641	C₂³	—	2	1	no	—
642	C₂³	—	2	1	no	—
643	C₂³	—	2	1	no	—
644	C₂³	—	2	1	no	—
645	C₂³	—	2	1	no	—
646	C₂³	—	2	1	no	—
647	C₂³	—	2	1	no	—
648	C₂³	—	2	1	no	—
649	C₂³	—	2	1	no	—
650	C₂³	—	2	1	no	—
651	C₂³	—	2	1	no	—
652	C₂³	—	2	1	no	—
653	C₂³	—	2	1	no	—
654	C₂³	—	2	1	no	—
655	C₂³	—	2	1	no	—
656	C₂³	—	2	1	no	—
657	C₂³	—	2	1	no	—
658	C₂³	—	2	1	no	—
659	C₂³	—	4	4	no	—
660	C₂³	—	4	4	no	—
661	C₂³	—	4	4	no	—
662	C₂³	—	4	4	no	—
663	C₂³	—	4	4	no	—
664	C₂³	—	4	4	no	—
665	C₂³	—	4	4	no	—
666	C₂³	—	4	4	no	—
667	C₂³	—	4	4	no	—
668	C₂³	—	4	4	no	—
669	C₂³	—	8	2	no	—
670	C₂³	—	8	2	no	—
671	C₂³	—	8	2	no	—
672	C₂³	C₂×#41	1	2	yes	—
673	C₂³	C₂×#41	1	2	yes	—
674	C₂³	H(5,𝔽₂)	1	2	yes	—
675	C₂³	H(5,𝔽₂)	1	2	yes	—
676	C₂³	H(5,𝔽₂)	1	2	yes	—
677	C₂³	H(5,𝔽₂)	1	2	yes	—
678	C₂³	C₂⁵	1	1	yes	characteristic
679	Q₈	—	4	4	no	—
680	D₄	—	4	4	no	—
681	D₄	—	4	4	no	—
682	D₄	—	4	4	no	—
683	D₄	—	4	4	no	—
684	D₄	—	4	4	no	—
685	D₄	—	4	4	no	—
686	D₄	—	4	4	no	—
687	D₄	—	4	4	no	—
688	D₄	—	8	2	no	—
689	D₄	—	8	2	no	—
690	D₄	—	8	2	no	—
691	D₄	—	8	2	no	—
692	D₄	—	8	2	no	—
693	D₄	—	8	2	no	—
694	D₄	—	8	2	no	—
695	D₄	—	8	2	no	—
696	D₄	—	8	2	no	—
697	D₄	—	8	2	no	—
698	D₄	—	8	2	no	—
699	D₄	—	8	2	no	—
700	D₄	—	8	2	no	—
701	D₄	—	8	2	no	—
702	C₂×C₄	—	2	1	no	—
703	C₂×C₄	—	2	1	no	—
704	C₂×C₄	—	2	1	no	—
705	C₂×C₄	—	2	1	no	—
706	C₂×C₄	—	2	1	no	—
707	C₂×C₄	—	2	1	no	—
708	C₂×C₄	—	2	1	no	—
709	C₂×C₄	—	2	1	no	—
710	C₂×C₄	—	2	1	no	—
711	C₂×C₄	—	2	1	no	—
712	C₂×C₄	—	2	1	no	—
713	C₂×C₄	—	2	1	no	—
714	C₂×C₄	—	2	1	no	—
715	C₂×C₄	—	2	1	no	—
716	C₂×C₄	—	2	1	no	—
717	C₂×C₄	—	2	1	no	—
718	C₂×C₄	—	2	1	no	—
719	C₂×C₄	—	2	1	no	—
720	C₂×C₄	—	2	1	no	—
721	C₂×C₄	—	2	1	no	—
722	C₂×C₄	—	2	1	no	—
723	C₂×C₄	—	2	1	no	—
724	C₂×C₄	—	2	1	no	—
725	C₂×C₄	—	2	1	no	—
726	C₂×C₄	—	2	1	no	—
727	C₂×C₄	—	2	1	no	—
728	C₂×C₄	—	2	1	no	—
729	C₂×C₄	—	2	1	no	—
730	C₂×C₄	—	2	1	no	—
731	C₂×C₄	—	2	1	no	—
732	C₂×C₄	—	2	1	no	—
733	C₂×C₄	—	2	1	no	—
734	C₂×C₄	—	2	1	no	—
735	C₂×C₄	—	2	1	no	—
736	C₂×C₄	—	2	1	no	—
737	C₂×C₄	—	2	1	no	—
738	C₂×C₄	—	2	1	no	—
739	C₂×C₄	—	2	1	no	—
740	C₂×C₄	—	2	1	no	—
741	C₂×C₄	—	2	1	no	—
742	C₂×C₄	—	2	1	no	—
743	C₂×C₄	—	2	1	no	—
744	C₂×C₄	—	2	1	no	—
745	C₂×C₄	—	2	1	no	—
746	C₂×C₄	—	2	1	no	—
747	C₂×C₄	—	2	1	no	—
748	C₂×C₄	—	2	1	no	—
749	C₂×C₄	—	2	1	no	—
750	C₂×C₄	—	2	1	no	—
751	C₂×C₄	—	2	1	no	—
752	C₂×C₄	—	2	1	no	—
753	C₂×C₄	—	2	1	no	—
754	C₂×C₄	—	2	1	no	—
755	C₂×C₄	—	2	1	no	—
756	C₂×C₄	—	2	1	no	—
757	C₂×C₄	—	2	1	no	—
758	C₂×C₄	—	2	1	no	—
759	C₂×C₄	—	2	1	no	—
760	C₂×C₄	—	2	1	no	—
761	C₂×C₄	—	2	1	no	—
762	C₂×C₄	—	2	1	no	—
763	C₂×C₄	—	2	1	no	—
764	C₂×C₄	—	2	1	no	—
765	C₂×C₄	—	2	1	no	—
766	C₂×C₄	—	2	1	no	—
767	C₂×C₄	—	2	1	no	—
768	C₂×C₄	—	2	1	no	—
769	C₂×C₄	—	4	4	no	—
770	C₂×C₄	—	4	4	no	—
771	C₂×C₄	—	4	4	no	—
772	C₂×C₄	—	4	4	no	—
773	C₂×C₄	—	4	4	no	—
774	C₂×C₄	—	4	4	no	—
775	C₂×C₄	—	4	4	no	—
776	C₂×C₄	—	4	4	no	—
777	C₂×C₄	—	4	4	no	—
778	C₂×C₄	—	4	4	no	—
779	C₂×C₄	—	8	2	no	—
780	C₂×C₄	—	8	2	no	—
781	C₂×C₄	—	8	2	no	—
782	C₂×C₄	—	8	2	no	—
783	C₂×C₄	C₂×#41	1	2	yes	—
784	C₂×C₄	H(5,𝔽₂)	1	2	yes	—
785	C₂²	—	2	2	no	—
786	C₂²	—	2	2	no	—
787	C₂²	—	2	2	no	—
788	C₂²	—	2	2	no	—
789	C₂²	—	2	2	no	—
790	C₂²	—	2	2	no	—
791	C₂²	—	2	2	no	—
792	C₂²	—	2	2	no	—
793	C₂²	—	2	2	no	—
794	C₂²	—	2	2	no	—
795	C₂²	—	2	2	no	—
796	C₂²	—	2	2	no	—
797	C₂²	—	2	2	no	—
798	C₂²	—	2	2	no	—
799	C₂²	—	2	2	no	—
800	C₂²	—	4	16	no	—
801	C₂²	—	4	1	no	—
802	C₂²	—	4	1	no	—
803	C₂²	—	4	1	no	—
804	C₂²	—	4	1	no	—
805	C₂²	—	4	1	no	—
806	C₂²	—	4	1	no	—
807	C₂²	—	4	1	no	—
808	C₂²	—	4	1	no	—
809	C₂²	—	4	1	no	—
810	C₂²	—	4	1	no	—
811	C₂²	—	4	1	no	—
812	C₂²	—	4	1	no	—
813	C₂²	—	4	1	no	—
814	C₂²	—	4	1	no	—
815	C₂²	—	4	1	no	—
816	C₂²	—	4	1	no	—
817	C₂²	—	4	1	no	—
818	C₂²	—	4	1	no	—
819	C₂²	—	4	1	no	—
820	C₂²	—	4	1	no	—
821	C₂²	—	4	1	no	—
822	C₂²	—	4	1	no	—
823	C₂²	—	4	1	no	—
824	C₂²	—	4	1	no	—
825	C₂²	—	4	1	no	—
826	C₂²	—	4	1	no	—
827	C₂²	—	4	1	no	—
828	C₂²	—	4	1	no	—
829	C₂²	—	4	1	no	—
830	C₂²	—	4	1	no	—
831	C₂²	—	4	1	no	—
832	C₂²	—	4	1	no	—
833	C₂²	—	4	1	no	—
834	C₂²	—	4	1	no	—
835	C₂²	—	4	1	no	—
836	C₂²	—	4	1	no	—
837	C₂²	—	4	1	no	—
838	C₂²	—	4	1	no	—
839	C₂²	—	4	1	no	—
840	C₂²	—	4	1	no	—
841	C₂²	—	8	8	no	—
842	C₂²	#560	1	4	yes	—
843	C₂²	C₂²×#41	1	1	yes	characteristic
844	C₂²	C₂×H(5,𝔽₂)	1	1	yes	characteristic
845	C₂²	C₂×H(5,𝔽₂)	1	1	yes	characteristic
846	C₂²	C₂×H(5,𝔽₂)	1	1	yes	characteristic
847	C₂²	C₂×H(5,𝔽₂)	1	1	yes	characteristic
848	C₂²	C₂×H(5,𝔽₂)	1	1	yes	characteristic
849	C₂²	#585	1	1	yes	characteristic
850	C₄	—	2	2	no	—
851	C₄	—	2	2	no	—
852	C₄	—	4	1	no	—
853	C₄	—	4	1	no	—
854	C₄	—	4	1	no	—
855	C₄	—	4	1	no	—
856	C₄	—	4	1	no	—
857	C₄	—	4	1	no	—
858	C₄	—	4	1	no	—
859	C₄	—	4	1	no	—
860	C₄	—	4	1	no	—
861	C₄	—	4	1	no	—
862	C₄	—	4	1	no	—
863	C₄	—	4	1	no	—
864	C₄	—	4	1	no	—
865	C₄	—	4	1	no	—
866	C₄	—	4	1	no	—
867	C₄	—	4	1	no	—
868	C₄	—	4	1	no	—
869	C₄	—	4	1	no	—
870	C₄	—	4	1	no	—
871	C₄	—	4	1	no	—
872	C₄	—	4	1	no	—
873	C₂	—	2	4	no	—
874	C₂	—	4	2	no	—
875	C₂	—	4	2	no	—
876	C₂	—	4	2	no	—
877	C₂	—	8	1	no	—
878	C₂	—	8	1	no	—
879	C₂	—	8	1	no	—
880	C₂	—	8	1	no	—
881	C₂	#3490	1	1	yes	characteristic
882	C₂	#3513	1	1	yes	characteristic
883	C₂	#3519	1	1	yes	characteristic
884	C₂	C₂×#560	1	1	yes	characteristic
885	C₂	#3532	1	1	yes	characteristic
886	C₂	#3534	1	1	yes	characteristic
887	C₂	#3542	1	1	yes	characteristic

	subgroup	G/H
center, commutator, Frattini, socle, cosocle	C₂³	C₂⁵
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂³ ◁ G
LECS	G ▷ C₂³ ▷ C₁

Complements

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

N	H ≅ G/N	type
1. #2849	C₂	semidirect
2. #2847	C₂	semidirect
3. #2825	C₂	semidirect
4. #2824	C₂	semidirect
5. #2784	C₂	semidirect
6. #2778	C₂	semidirect
7. #2760	C₂	semidirect
8. #2749	C₂	semidirect
9. #2737	C₂	semidirect
10. #2709	C₂	semidirect
11. #2703	C₂	semidirect
12. #2693	C₂	semidirect
13. #2688	C₂	semidirect
14. #2688	C₂	semidirect
15. #2673	C₂	semidirect
16. #2673	C₂	semidirect
17. #2534	C₂	semidirect
18. #2510	C₂	semidirect
19. #2493	C₂	semidirect
20. #2444	C₂	semidirect
21. #2433	C₂	semidirect
22. #2430	C₂	semidirect
23. #2424	C₂	semidirect
24. #2412	C₂	semidirect
25. #2412	C₂	semidirect
26. #2410	C₂	semidirect
27. #2404	C₂	semidirect
28. #2404	C₂	semidirect
29. #2380	C₂	semidirect
30. #2377	C₂	semidirect
31. C₂×#386	C₂	semidirect
38. C₂×#123	C₂²	semidirect
39. C₂×#123	C₂²	semidirect
40. C₂×#123	C₂²	semidirect
45. C₂×#121	C₂²	semidirect
46. C₂×#121	C₂²	semidirect
47. C₂×#121	C₂²	semidirect
59. #401	C₂²	semidirect
60. #401	C₂²	semidirect
61. #400	C₂²	semidirect
62. #400	C₂²	semidirect
63. #400	C₂²	semidirect
64. #400	C₂²	semidirect
65. #400	C₂²	semidirect
66. #397	C₂²	semidirect
67. #397	C₂²	semidirect
68. #397	C₂²	semidirect
69. #397	C₂²	semidirect
70. #397	C₂²	semidirect
71. #397	C₂²	semidirect
72. #397	C₂²	semidirect
73. #397	C₂²	semidirect
74. #396	C₂²	semidirect
75. #396	C₂²	semidirect
76. #396	C₂²	semidirect
77. #395	C₂²	semidirect
80. #394	C₂²	semidirect
81. #394	C₂²	semidirect
82. #394	C₂²	semidirect
83. #394	C₂²	semidirect
84. #394	C₂²	semidirect
85. #394	C₂²	semidirect
86. #394	C₂²	semidirect
87. #394	C₂²	semidirect
88. #394	C₂²	semidirect
89. #394	C₂²	semidirect
90. #393	C₂²	semidirect
91. #393	C₂²	semidirect
92. #393	C₂²	semidirect
93. #393	C₂²	semidirect
94. #393	C₂²	semidirect
101. #392	C₂²	semidirect
102. #392	C₂²	semidirect
103. #392	C₂²	semidirect
104. #392	C₂²	semidirect
105. #392	C₂²	semidirect
106. #392	C₂²	semidirect
109. #390	C₂²	semidirect
110. #388	C₂²	semidirect
111. #388	C₂²	semidirect
112. #388	C₂²	semidirect
113. #388	C₂²	semidirect
114. #388	C₂²	semidirect
115. #388	C₂²	semidirect
116. #387	C₂²	semidirect
117. #387	C₂²	semidirect
118. #387	C₂²	semidirect
119. #387	C₂²	semidirect
120. #387	C₂²	semidirect
138. #386	C₂²	semidirect
139. #386	C₂²	semidirect
140. #386	C₂²	semidirect
141. #386	C₂²	semidirect
142. #386	C₂²	semidirect
143. #386	C₂²	semidirect
144. #386	C₂²	semidirect
145. #386	C₂²	semidirect
146. #386	C₂²	semidirect
147. #386	C₂²	semidirect
148. #386	C₂²	semidirect
149. #386	C₂²	semidirect
150. #386	C₂²	semidirect
151. #386	C₂²	semidirect
152. #386	C₂²	semidirect
153. #386	C₂²	semidirect
154. #386	C₂²	semidirect
155. #386	C₂²	semidirect
156. #386	C₂²	semidirect
157. #386	C₂²	semidirect
158. #386	C₂²	semidirect
159. #386	C₂²	semidirect
160. #386	C₂²	semidirect
164. #385	C₂²	semidirect
165. #385	C₂²	semidirect
166. #385	C₂²	semidirect
167. #385	C₂²	semidirect
168. #385	C₂²	semidirect
169. #383	C₂²	semidirect
170. #383	C₂²	semidirect
173. #381	C₂²	semidirect
174. #381	C₂²	semidirect
175. #381	C₂²	semidirect
176. #381	C₂²	semidirect
179. #380	C₂²	semidirect
180. #380	C₂²	semidirect
181. #380	C₂²	semidirect
182. #380	C₂²	semidirect
467. C₂×D₄	#41	semidirect

Maximal subgroups

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

subgroup	index
#2849	2
#2847	2
#2825	2
#2824	2
#2784	2
#2778	2
#2760	2
#2749	2
#2737	2
#2709	2
#2703	2
#2693	2
#2688	2
#2673	2
#2534	2
#2510	2
#2493	2
#2444	2
#2433	2
#2430	2
#2424	2
#2412	2
#2410	2
#2404	2
#2380	2
#2377	2
C₂×#386	2