Subgroups — #61445

Order 256.

952 conjugacy classes of subgroups.

The subgroup lattice has 863 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#3482	C₂	1	1	yes	maximal, characteristic, complemented
2	#3481	C₂	1	1	yes	maximal, characteristic, complemented
3	#3401	C₂	1	1	yes	maximal, characteristic, complemented
4	#3388	C₂	1	1	yes	maximal, characteristic, complemented
5	#3376	C₂	1	1	yes	maximal, characteristic, complemented
6	#3371	C₂	1	1	yes	maximal, characteristic, complemented
7	#3351	C₂	1	1	yes	maximal, characteristic, complemented
8	#3345	C₂	1	1	yes	maximal, characteristic, complemented
9	#3344	C₂	1	1	yes	maximal, characteristic, complemented
10	#3326	C₂	1	1	yes	maximal, characteristic, complemented
11	#3323	C₂	1	1	yes	maximal, characteristic, complemented
12	#3320	C₂	1	1	yes	maximal, characteristic, complemented
13	#3316	C₂	1	1	yes	maximal, characteristic, complemented
14	#3310	C₂	1	1	yes	maximal, characteristic, complemented
15	#3306	C₂	1	1	yes	maximal, characteristic, complemented
16	#3275	C₂	1	1	yes	maximal, characteristic, complemented
17	#3266	C₂	1	1	yes	maximal, characteristic, complemented
18	#3265	C₂	1	1	yes	maximal, characteristic, complemented
19	#3172	C₂	1	1	yes	maximal, characteristic, complemented
20	#3171	C₂	1	1	yes	maximal, characteristic, complemented
21	#3168	C₂	1	1	yes	maximal, characteristic, complemented
22	#3108	C₂	1	1	yes	maximal, characteristic, complemented
23	#3105	C₂	1	1	yes	maximal, characteristic, complemented
24	#3103	C₂	1	1	yes	maximal, characteristic, complemented
25	#3102	C₂	1	1	yes	maximal, characteristic, complemented
26	#3102	C₂	1	1	yes	maximal, characteristic, complemented
27	#3101	C₂	1	1	yes	maximal, characteristic, complemented
28	#2965	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄×#137	C₂	1	1	yes	maximal, characteristic, complemented
30	C₄×AGL(1,ℤ/8)	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×C₄×SD₁₆	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#137	C₂²	1	1	yes	characteristic
33	C₂×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
34	C₂²×SD₁₆	C₂²	1	1	yes	characteristic
35	#559	C₂²	1	1	yes	characteristic
36	#557	C₂²	1	1	yes	characteristic, complemented
37	#556	—	2	1	no	—
38	#556	C₂²	1	1	yes	characteristic, complemented
39	#554	C₂²	1	1	yes	characteristic
40	#554	C₂²	1	1	yes	characteristic
41	#553	—	2	1	no	—
42	#553	C₂²	1	1	yes	characteristic
43	#553	C₂²	1	1	yes	characteristic
44	#552	—	2	1	no	—
45	#552	—	2	1	no	—
46	#552	C₂²	1	1	yes	characteristic
47	#552	C₂²	1	1	yes	characteristic, complemented
48	#551	—	2	1	no	—
49	#551	—	2	1	no	—
50	D₄×Q₈	C₂²	1	1	yes	characteristic, complemented
51	#548	C₂²	1	1	yes	characteristic
52	#548	C₂²	1	1	yes	characteristic, complemented
53	#547	—	2	1	no	—
54	#547	C₂²	1	1	yes	characteristic, complemented
55	#546	—	2	1	no	—
56	#546	C₂²	1	1	yes	characteristic
57	#546	C₂²	1	1	yes	characteristic
58	D₄²	C₂²	1	1	yes	characteristic
59	#533	—	2	1	no	—
60	#533	C₂²	1	1	yes	characteristic, complemented
61	#532	C₂²	1	1	yes	characteristic
62	#529	—	2	1	no	—
63	#529	—	2	1	no	—
64	#529	—	2	1	no	—
65	#529	C₂²	1	1	yes	characteristic
66	#529	C₂²	1	1	yes	characteristic
67	#529	C₂²	1	1	yes	characteristic, complemented
68	#529	C₂²	1	1	yes	characteristic, complemented
69	#525	—	2	1	no	—
70	#525	—	2	1	no	—
71	C₄×#41	—	2	1	no	—
72	C₄×#41	C₂²	1	1	yes	characteristic
73	C₄×#41	C₂²	1	1	yes	characteristic
74	C₄×#41	C₂²	1	1	yes	characteristic, complemented
75	C₂×C₄×Q₈	C₂²	1	1	yes	characteristic, complemented
76	C₂×C₄×Q₈	C₂²	1	1	yes	characteristic, complemented
77	C₂×C₄×D₄	—	2	1	no	—
78	C₂×C₄×D₄	C₂²	1	1	yes	characteristic
79	C₂×C₄×D₄	C₂²	1	1	yes	characteristic
80	#501	C₂²	1	1	yes	characteristic, complemented
81	#501	C₂²	1	1	yes	characteristic, complemented
82	#499	C₂²	1	1	yes	characteristic, complemented
83	#497	C₂²	1	1	yes	characteristic, complemented
84	#496	C₂²	1	1	yes	characteristic
85	#495	C₂²	1	1	yes	characteristic, complemented
86	#491	C₂²	1	1	yes	characteristic, complemented
87	#490	C₂²	1	1	yes	characteristic
88	#489	C₂²	1	1	yes	characteristic, complemented
89	#489	C₂²	1	1	yes	characteristic, complemented
90	#488	C₂²	1	1	yes	characteristic, complemented
91	#488	C₂²	1	1	yes	characteristic, complemented
92	#485	C₂²	1	1	yes	characteristic, complemented
93	#485	C₂²	1	1	yes	characteristic, complemented
94	#484	C₂²	1	1	yes	characteristic, complemented
95	#483	C₂²	1	1	yes	characteristic, complemented
96	#483	C₂²	1	1	yes	characteristic, complemented
97	#483	C₂²	1	1	yes	characteristic, complemented
98	#482	C₂²	1	1	yes	characteristic
99	#482	C₂²	1	1	yes	characteristic, complemented
100	#481	C₂²	1	1	yes	characteristic, complemented
101	#481	C₂²	1	1	yes	characteristic, complemented
102	#481	C₂²	1	1	yes	characteristic, complemented
103	#480	C₂²	1	1	yes	characteristic
104	#479	C₂²	1	1	yes	characteristic, complemented
105	#479	C₂²	1	1	yes	characteristic, complemented
106	#479	C₂²	1	1	yes	characteristic, complemented
107	#479	C₂²	1	1	yes	characteristic, complemented
108	#478	C₂²	1	1	yes	characteristic
109	#478	C₂²	1	1	yes	characteristic
110	#478	C₂²	1	1	yes	characteristic, complemented
111	#478	C₂²	1	1	yes	characteristic, complemented
112	#476	C₂²	1	1	yes	characteristic
113	#476	C₂²	1	1	yes	characteristic, complemented
114	#475	C₂²	1	1	yes	characteristic, complemented
115	#475	C₂²	1	1	yes	characteristic, complemented
116	#470	C₂²	1	1	yes	characteristic, complemented
117	#470	C₂²	1	1	yes	characteristic, complemented
118	#469	C₂²	1	1	yes	characteristic, complemented
119	#469	C₂²	1	1	yes	characteristic, complemented
120	#468	C₂²	1	1	yes	characteristic
121	#468	C₂²	1	1	yes	characteristic
122	#468	C₂²	1	1	yes	characteristic, complemented
123	#468	C₂²	1	1	yes	characteristic, complemented
124	#467	C₂²	1	1	yes	characteristic, complemented
125	#466	C₂²	1	1	yes	characteristic
126	#465	C₂²	1	1	yes	characteristic
127	#465	C₂²	1	1	yes	characteristic, complemented
128	#464	C₂²	1	1	yes	characteristic, complemented
129	#464	C₂²	1	1	yes	characteristic, complemented
130	#464	C₂²	1	1	yes	characteristic, complemented
131	#464	C₂²	1	1	yes	characteristic, complemented
132	#463	C₂²	1	1	yes	characteristic
133	#463	C₂²	1	1	yes	characteristic
134	#463	C₂²	1	1	yes	characteristic, complemented
135	#463	C₂²	1	1	yes	characteristic, complemented
136	#461	C₂²	1	1	yes	characteristic
137	#461	C₂²	1	1	yes	characteristic, complemented
138	#460	C₂²	1	1	yes	characteristic
139	#460	C₂²	1	1	yes	characteristic
140	#452	C₂²	1	1	yes	characteristic
141	#452	C₂²	1	1	yes	characteristic, complemented
142	#451	C₂²	1	1	yes	characteristic, complemented
143	#450	C₂²	1	1	yes	characteristic
144	#450	C₂²	1	1	yes	characteristic
145	#450	C₂²	1	1	yes	characteristic
146	#449	C₂²	1	1	yes	characteristic
147	#449	C₂²	1	1	yes	characteristic
148	#448	C₂²	1	1	yes	characteristic
149	#448	C₂²	1	1	yes	characteristic, complemented
150	#448	C₂²	1	1	yes	characteristic, complemented
151	#447	C₂²	1	1	yes	characteristic
152	#446	C₂²	1	1	yes	characteristic, complemented
153	#446	C₂²	1	1	yes	characteristic, complemented
154	#442	C₂²	1	1	yes	characteristic
155	#442	C₂²	1	1	yes	characteristic, complemented
156	#441	C₂²	1	1	yes	characteristic, complemented
157	#441	C₂²	1	1	yes	characteristic, complemented
158	#440	C₂²	1	1	yes	characteristic
159	#440	C₂²	1	1	yes	characteristic
160	#440	C₂²	1	1	yes	characteristic
161	#440	C₂²	1	1	yes	characteristic, complemented
162	C₄×Q₁₆	C₂²	1	1	yes	characteristic, complemented
163	C₄×Q₁₆	C₂²	1	1	yes	characteristic, complemented
164	C₄×Q₁₆	C₂²	1	1	yes	characteristic, complemented
165	C₄×SD₁₆	C₂²	1	1	yes	characteristic
166	C₄×SD₁₆	C₂²	1	1	yes	characteristic
167	C₄×SD₁₆	C₂²	1	1	yes	characteristic
168	C₄×SD₁₆	C₂²	1	1	yes	characteristic
169	C₄×SD₁₆	C₂²	1	1	yes	characteristic
170	C₄×SD₁₆	C₂²	1	1	yes	characteristic, complemented
171	C₄×SD₁₆	C₂²	1	1	yes	characteristic, complemented
172	C₄×SD₁₆	C₂²	1	1	yes	characteristic, complemented
173	C₄×SD₁₆	C₂²	1	1	yes	characteristic, complemented
174	C₄×SD₁₆	C₂²	1	1	yes	characteristic, complemented
175	C₄×SD₁₆	C₂²	1	1	yes	characteristic, complemented
176	C₄×SD₁₆	C₂²	1	1	yes	characteristic, complemented
177	C₄×SD₁₆	C₂²	1	1	yes	characteristic, complemented
178	C₄×SD₁₆	C₂²	1	1	yes	characteristic, complemented
179	C₄×D₈	C₂²	1	1	yes	characteristic
180	C₄×D₈	C₂²	1	1	yes	characteristic, complemented
181	C₄×D₈	C₂²	1	1	yes	characteristic, complemented
182	#436	C₂²	1	1	yes	characteristic, complemented
183	#436	C₂²	1	1	yes	characteristic, complemented
184	#435	C₂²	1	1	yes	characteristic
185	#435	C₂²	1	1	yes	characteristic
186	#435	C₂²	1	1	yes	characteristic, complemented
187	#435	C₂²	1	1	yes	characteristic, complemented
188	#431	C₂²	1	1	yes	characteristic, complemented
189	#431	C₂²	1	1	yes	characteristic, complemented
190	#431	C₂²	1	1	yes	characteristic, complemented
191	#428	C₂²	1	1	yes	characteristic, complemented
192	#428	C₂²	1	1	yes	characteristic, complemented
193	C₂×#106	C₂²	1	1	yes	characteristic, complemented
194	#419	C₂²	1	1	yes	characteristic, complemented
195	#418	C₂²	1	1	yes	characteristic
196	#417	C₂²	1	1	yes	characteristic
197	#417	C₂²	1	1	yes	characteristic, complemented
198	C₂×#103	C₂²	1	1	yes	characteristic, complemented
199	C₂×#102	C₂²	1	1	yes	characteristic
200	C₄×M₁₆	C₂²	1	1	yes	characteristic, complemented
201	C₄×M₁₆	C₂²	1	1	yes	characteristic, complemented
202	C₂×C₄×C₈	C₂²	1	1	yes	characteristic, complemented
203	C₂×#41	—	2	1	no	—
204	C₂×#41	—	2	1	no	—
205	C₂×#41	D₄	1	1	yes	characteristic
206	C₂×#41	C₂³	1	1	yes	characteristic
207	C₂×#41	C₂³	1	1	yes	characteristic
208	C₂²×Q₈	C₂³	1	1	yes	characteristic
209	C₂²×Q₈	C₂³	1	1	yes	characteristic
210	C₂²×D₄	—	2	1	no	—
211	C₂²×D₄	C₂³	1	1	yes	characteristic
212	C₂²×D₄	C₂³	1	1	yes	characteristic
213	C₂³×C₄	—	2	1	no	—
214	C₂³×C₄	—	2	1	no	—
215	#137	—	2	4	no	—
216	AGL(1,ℤ/8)	—	2	4	no	—
217	C₂×Q₁₆	C₂³	1	1	yes	characteristic
218	C₂×Q₁₆	C₂³	1	1	yes	characteristic
219	C₂×Q₁₆	C₂³	1	1	yes	characteristic
220	C₂×SD₁₆	—	2	4	no	—
221	C₂×SD₁₆	C₂³	1	1	yes	characteristic
222	C₂×SD₁₆	C₂³	1	1	yes	characteristic
223	C₂×SD₁₆	C₂³	1	1	yes	characteristic
224	C₂×SD₁₆	C₂³	1	1	yes	characteristic
225	C₂×SD₁₆	C₂³	1	1	yes	characteristic
226	C₂×SD₁₆	C₂³	1	1	yes	characteristic
227	C₂×SD₁₆	C₂³	1	1	yes	characteristic
228	C₂×SD₁₆	C₂³	1	1	yes	characteristic
229	C₂×SD₁₆	C₂³	1	1	yes	characteristic
230	C₂×SD₁₆	C₂³	1	1	yes	characteristic
231	C₂×D₈	C₂³	1	1	yes	characteristic
232	C₂×D₈	C₂³	1	1	yes	characteristic
233	C₂×D₈	C₂³	1	1	yes	characteristic
234	C₂×M₁₆	C₂³	1	1	yes	characteristic
235	C₂×M₁₆	C₂³	1	1	yes	characteristic
236	C₂×M₁₆	C₂³	1	1	yes	characteristic
237	C₂×M₁₆	C₂³	1	1	yes	characteristic
238	C₂²×C₈	C₂³	1	1	yes	characteristic
239	C₂²×C₈	C₂³	1	1	yes	characteristic
240	C₄⋊Q₈	—	2	1	no	—
241	C₄⋊Q₈	—	2	1	no	—
242	C₄⋊Q₈	C₂³	1	1	yes	characteristic
243	C₄⋊Q₈	C₂³	1	1	yes	characteristic
244	C₄⋊Q₈	C₂³	1	1	yes	characteristic
245	#127	C₂³	1	1	yes	characteristic
246	#126	—	2	1	no	—
247	#126	—	2	1	no	—
248	#126	—	2	1	no	—
249	#126	—	2	1	no	—
250	#126	—	2	1	no	—
251	#126	—	2	1	no	—
252	#126	—	2	1	no	—
253	#126	—	2	1	no	—
254	#126	—	2	1	no	—
255	#126	—	2	1	no	—
256	#125	—	2	1	no	—
257	#125	—	2	1	no	—
258	#125	—	2	1	no	—
259	#125	—	2	1	no	—
260	#125	—	2	1	no	—
261	#125	—	2	1	no	—
262	#125	C₂³	1	1	yes	characteristic
263	#125	C₂³	1	1	yes	characteristic
264	#125	C₂³	1	1	yes	characteristic
265	#125	C₂³	1	1	yes	characteristic
266	#124	—	2	1	no	—
267	#124	—	2	1	no	—
268	#124	—	2	1	no	—
269	#124	—	2	1	no	—
270	#124	C₂³	1	1	yes	characteristic
271	#124	C₂³	1	1	yes	characteristic
272	#124	C₂³	1	1	yes	characteristic
273	#124	C₂³	1	1	yes	characteristic
274	#123	—	2	1	no	—
275	#123	—	2	1	no	—
276	#123	—	2	1	no	—
277	#123	—	2	1	no	—
278	#123	—	2	1	no	—
279	#123	—	2	1	no	—
280	#123	—	2	1	no	—
281	#123	—	2	1	no	—
282	#123	—	2	1	no	—
283	#123	—	2	1	no	—
284	#123	—	2	1	no	—
285	#123	—	2	1	no	—
286	#123	—	2	1	no	—
287	#123	—	2	1	no	—
288	C₂²⋊Q₈	—	2	1	no	—
289	C₂²⋊Q₈	—	2	1	no	—
290	C₂²⋊Q₈	—	2	1	no	—
291	C₂²⋊Q₈	—	2	1	no	—
292	C₂²⋊Q₈	—	2	1	no	—
293	C₂²⋊Q₈	—	2	1	no	—
294	C₂²⋊Q₈	—	2	1	no	—
295	C₂²⋊Q₈	—	2	1	no	—
296	C₂²⋊Q₈	—	2	1	no	—
297	C₂²⋊Q₈	—	2	1	no	—
298	C₂²⋊Q₈	—	2	1	no	—
299	C₂²⋊Q₈	—	2	1	no	—
300	C₂²⋊Q₈	C₂³	1	1	yes	characteristic
301	C₂²⋊Q₈	C₂³	1	1	yes	characteristic
302	C₂²⋊Q₈	C₂³	1	1	yes	characteristic
303	C₂²⋊Q₈	C₂³	1	1	yes	characteristic
304	C₂²⋊Q₈	C₂³	1	1	yes	characteristic
305	C₂²⋊Q₈	C₂³	1	1	yes	characteristic
306	#121	—	2	1	no	—
307	#121	—	2	1	no	—
308	#121	—	2	1	no	—
309	#121	—	2	1	no	—
310	#121	—	2	1	no	—
311	#121	—	2	1	no	—
312	#121	—	2	1	no	—
313	#121	—	2	1	no	—
314	#121	C₂³	1	1	yes	characteristic
315	#121	C₂³	1	1	yes	characteristic
316	#121	C₂³	1	1	yes	characteristic
317	#121	C₂³	1	1	yes	characteristic
318	#121	C₂³	1	1	yes	characteristic
319	#121	C₂³	1	1	yes	characteristic
320	#120	—	2	1	no	—
321	#120	—	2	1	no	—
322	#120	—	2	1	no	—
323	#120	—	2	1	no	—
324	C₄×Q₈	—	2	1	no	—
325	C₄×Q₈	—	2	1	no	—
326	C₄×Q₈	—	2	1	no	—
327	C₄×Q₈	—	2	1	no	—
328	C₄×Q₈	—	2	1	no	—
329	C₄×Q₈	—	2	1	no	—
330	C₄×Q₈	D₄	1	1	yes	characteristic
331	C₄×Q₈	C₂³	1	1	yes	characteristic
332	C₄×Q₈	C₂³	1	1	yes	characteristic
333	C₄×Q₈	C₂³	1	1	yes	characteristic
334	C₄×Q₈	C₂³	1	1	yes	characteristic
335	C₄×Q₈	C₂³	1	1	yes	characteristic
336	C₄×Q₈	C₂³	1	1	yes	characteristic
337	C₄×Q₈	C₂³	1	1	yes	characteristic
338	C₄×Q₈	C₂³	1	1	yes	characteristic
339	C₄×Q₈	C₂³	1	1	yes	characteristic
340	C₄×Q₈	C₂³	1	1	yes	characteristic
341	C₄×Q₈	C₂³	1	1	yes	characteristic
342	C₄×D₄	—	2	1	no	—
343	C₄×D₄	—	2	1	no	—
344	C₄×D₄	—	2	1	no	—
345	C₄×D₄	—	2	1	no	—
346	C₄×D₄	—	2	1	no	—
347	C₄×D₄	—	2	1	no	—
348	C₄×D₄	—	2	1	no	—
349	C₄×D₄	—	2	1	no	—
350	C₄×D₄	—	2	1	no	—
351	C₄×D₄	—	2	1	no	—
352	C₄×D₄	—	2	1	no	—
353	C₄×D₄	—	2	1	no	—
354	C₄×D₄	—	2	1	no	—
355	C₄×D₄	—	2	1	no	—
356	C₄×D₄	—	2	1	no	—
357	C₄×D₄	—	2	1	no	—
358	C₄×D₄	—	2	1	no	—
359	C₄×D₄	—	2	1	no	—
360	C₄×D₄	—	2	1	no	—
361	C₄×D₄	—	2	1	no	—
362	C₄×D₄	D₄	1	1	yes	characteristic
363	C₄×D₄	D₄	1	1	yes	characteristic
364	C₄×D₄	D₄	1	1	yes	characteristic
365	C₄×D₄	C₂³	1	1	yes	characteristic
366	C₄×D₄	C₂³	1	1	yes	characteristic
367	C₄×D₄	C₂³	1	1	yes	characteristic
368	C₄×D₄	C₂³	1	1	yes	characteristic
369	C₄×D₄	C₂³	1	1	yes	characteristic
370	C₄×D₄	C₂³	1	1	yes	characteristic
371	C₄×D₄	C₂³	1	1	yes	characteristic
372	C₄×D₄	C₂³	1	1	yes	characteristic
373	C₄×D₄	C₂³	1	1	yes	characteristic
374	C₄×D₄	C₂³	1	1	yes	characteristic
375	C₄×D₄	C₂³	1	1	yes	characteristic
376	C₄×D₄	C₂³	1	1	yes	characteristic
377	C₄×D₄	C₂³	1	1	yes	characteristic
378	#117	—	2	1	no	—
379	#117	—	2	1	no	—
380	#117	—	2	1	no	—
381	#117	—	2	1	no	—
382	#117	—	2	1	no	—
383	#117	—	2	1	no	—
384	#117	—	2	1	no	—
385	#117	—	2	1	no	—
386	#117	—	2	1	no	—
387	#117	—	2	1	no	—
388	#117	D₄	1	1	yes	characteristic
389	#117	D₄	1	1	yes	characteristic
390	#117	D₄	1	1	yes	characteristic
391	#117	C₂³	1	1	yes	characteristic
392	#117	C₂³	1	1	yes	characteristic
393	C₂×C₄⋊C₄	—	2	1	no	—
394	C₂×C₄⋊C₄	—	2	1	no	—
395	C₂×C₄⋊C₄	—	2	1	no	—
396	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
397	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
398	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
399	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
400	C₂×C₂²⋊C₄	—	2	1	no	—
401	C₂×C₂²⋊C₄	—	2	1	no	—
402	C₂×C₂²⋊C₄	—	2	1	no	—
403	C₂×C₂²⋊C₄	—	2	1	no	—
404	C₂×C₄²	—	2	1	no	—
405	C₂×C₄²	—	2	1	no	—
406	C₂×C₄²	—	2	1	no	—
407	C₂×C₄²	—	2	1	no	—
408	C₂×C₄²	C₂³	1	1	yes	characteristic
409	C₂×C₄²	C₂³	1	1	yes	characteristic
410	C₂×C₄²	C₂³	1	1	yes	characteristic
411	#107	C₂³	1	1	yes	characteristic
412	#107	C₂³	1	1	yes	characteristic
413	#107	C₂³	1	1	yes	characteristic
414	#107	C₂³	1	1	yes	characteristic
415	#107	C₂³	1	1	yes	characteristic
416	#107	C₂³	1	1	yes	characteristic
417	#106	C₂³	1	1	yes	characteristic
418	#106	C₂³	1	1	yes	characteristic
419	#106	C₂³	1	1	yes	characteristic
420	#106	C₂³	1	1	yes	characteristic
421	#106	C₂³	1	1	yes	characteristic
422	#106	C₂³	1	1	yes	characteristic
423	#106	C₂³	1	1	yes	characteristic
424	#106	C₂³	1	1	yes	characteristic
425	#106	C₂³	1	1	yes	characteristic
426	#106	C₂³	1	1	yes	characteristic
427	C₄⋊C₈	C₂³	1	1	yes	characteristic
428	C₄⋊C₈	C₂³	1	1	yes	characteristic
429	C₄⋊C₈	C₂³	1	1	yes	characteristic
430	C₄⋊C₈	C₂³	1	1	yes	characteristic
431	C₄⋊C₈	C₂³	1	1	yes	characteristic
432	C₄⋊C₈	C₂³	1	1	yes	characteristic
433	#103	C₂³	1	1	yes	characteristic
434	#103	C₂³	1	1	yes	characteristic
435	#103	C₂³	1	1	yes	characteristic
436	#103	C₂³	1	1	yes	characteristic
437	#103	C₂³	1	1	yes	characteristic
438	#103	C₂³	1	1	yes	characteristic
439	#103	C₂³	1	1	yes	characteristic
440	#103	C₂³	1	1	yes	characteristic
441	#103	C₂³	1	1	yes	characteristic
442	#103	C₂³	1	1	yes	characteristic
443	#103	C₂³	1	1	yes	characteristic
444	#103	C₂³	1	1	yes	characteristic
445	#103	C₂³	1	1	yes	characteristic
446	#103	C₂³	1	1	yes	characteristic
447	#103	C₂³	1	1	yes	characteristic
448	#103	C₂³	1	1	yes	characteristic
449	#102	C₂³	1	1	yes	characteristic
450	#102	C₂³	1	1	yes	characteristic
451	#102	C₂³	1	1	yes	characteristic
452	#102	C₂³	1	1	yes	characteristic
453	#102	C₂³	1	1	yes	characteristic
454	#102	C₂³	1	1	yes	characteristic
455	#102	C₂³	1	1	yes	characteristic
456	#102	C₂³	1	1	yes	characteristic
457	#102	C₂³	1	1	yes	characteristic
458	#102	C₂³	1	1	yes	characteristic
459	#102	C₂³	1	1	yes	characteristic
460	#102	C₂³	1	1	yes	characteristic
461	#102	C₂³	1	1	yes	characteristic
462	#102	C₂³	1	1	yes	characteristic
463	#102	C₂³	1	1	yes	characteristic
464	#102	C₂³	1	1	yes	characteristic
465	C₂²⋊C₈	C₂³	1	1	yes	characteristic
466	C₂²⋊C₈	C₂³	1	1	yes	characteristic
467	C₂²⋊C₈	C₂³	1	1	yes	characteristic
468	C₂²⋊C₈	C₂³	1	1	yes	characteristic
469	C₂²⋊C₈	C₂³	1	1	yes	characteristic
470	C₂²⋊C₈	C₂³	1	1	yes	characteristic
471	#97	C₂³	1	1	yes	characteristic
472	#97	C₂³	1	1	yes	characteristic
473	#97	C₂³	1	1	yes	characteristic
474	#97	C₂³	1	1	yes	characteristic
475	C₄×C₈	C₂³	1	1	yes	characteristic
476	C₄×C₈	C₂³	1	1	yes	characteristic
477	C₄×C₈	C₂³	1	1	yes	characteristic
478	C₄×C₈	C₂³	1	1	yes	characteristic
479	C₄×C₈	C₂³	1	1	yes	characteristic
480	C₄×C₈	C₂³	1	1	yes	characteristic
481	C₂⁴	—	2	1	no	—
482	C₂⁴	—	2	1	no	—
483	#41	—	2	2	no	—
484	#41	—	2	2	no	—
485	#41	—	4	2	no	—
486	#41	—	4	1	no	—
487	#41	—	4	1	no	—
488	#41	—	4	4	no	—
489	#41	—	8	2	no	—
490	C₂×Q₈	—	2	1	no	—
491	C₂×Q₈	—	2	1	no	—
492	C₂×Q₈	—	2	1	no	—
493	C₂×Q₈	—	2	1	no	—
494	C₂×Q₈	—	2	2	no	—
495	C₂×Q₈	—	2	2	no	—
496	C₂×Q₈	—	4	1	no	—
497	C₂×Q₈	—	4	1	no	—
498	C₂×Q₈	C₂×D₄	1	1	yes	characteristic
499	C₂×Q₈	C₂⁴	1	1	yes	characteristic
500	C₂×Q₈	C₂⁴	1	1	yes	characteristic
501	C₂×Q₈	C₂⁴	1	1	yes	characteristic
502	C₂×Q₈	C₂⁴	1	1	yes	characteristic
503	C₂×D₄	—	2	2	no	—
504	C₂×D₄	—	2	2	no	—
505	C₂×D₄	—	2	1	no	—
506	C₂×D₄	—	2	1	no	—
507	C₂×D₄	—	2	1	no	—
508	C₂×D₄	—	2	1	no	—
509	C₂×D₄	—	2	1	no	—
510	C₂×D₄	—	2	1	no	—
511	C₂×D₄	—	2	1	no	—
512	C₂×D₄	—	2	1	no	—
513	C₂×D₄	—	2	1	no	—
514	C₂×D₄	—	2	1	no	—
515	C₂×D₄	—	2	1	no	—
516	C₂×D₄	—	2	1	no	—
517	C₂×D₄	—	4	1	no	—
518	C₂×D₄	—	4	1	no	—
519	C₂×D₄	—	4	4	no	—
520	C₂×D₄	C₂×D₄	1	1	yes	characteristic
521	C₂×D₄	C₂×D₄	1	1	yes	characteristic
522	C₂×D₄	C₂×D₄	1	1	yes	characteristic
523	C₂×D₄	C₂⁴	1	1	yes	characteristic
524	C₂×D₄	C₂⁴	1	1	yes	characteristic
525	C₂×D₄	C₂⁴	1	1	yes	characteristic
526	C₂×D₄	C₂⁴	1	1	yes	characteristic
527	C₂²×C₄	—	2	1	no	—
528	C₂²×C₄	—	2	1	no	—
529	C₂²×C₄	—	2	1	no	—
530	C₂²×C₄	—	2	1	no	—
531	C₂²×C₄	—	2	1	no	—
532	C₂²×C₄	—	2	1	no	—
533	C₂²×C₄	—	2	1	no	—
534	C₂²×C₄	—	2	1	no	—
535	C₂²×C₄	—	2	1	no	—
536	C₂²×C₄	—	2	1	no	—
537	C₂²×C₄	—	2	1	no	—
538	C₂²×C₄	—	2	1	no	—
539	C₂²×C₄	—	2	1	no	—
540	C₂²×C₄	—	2	1	no	—
541	C₂²×C₄	—	2	1	no	—
542	C₂²×C₄	—	2	1	no	—
543	C₂²×C₄	—	2	1	no	—
544	C₂²×C₄	—	2	1	no	—
545	C₂²×C₄	—	8	2	no	—
546	C₂²×C₄	—	8	2	no	—
547	C₂²×C₄	C₂×D₄	1	1	yes	characteristic
548	C₂²×C₄	C₂×D₄	1	1	yes	characteristic
549	C₂²×C₄	C₂×D₄	1	1	yes	characteristic
550	C₂²×C₄	C₂×D₄	1	1	yes	characteristic
551	C₂²×C₄	C₂×D₄	1	1	yes	characteristic
552	C₂²×C₄	C₂×D₄	1	1	yes	characteristic
553	C₂²×C₄	C₂⁴	1	1	yes	characteristic
554	C₂²×C₄	C₂⁴	1	1	yes	characteristic
555	C₂²×C₄	C₂⁴	1	1	yes	characteristic
556	Q₁₆	—	2	2	no	—
557	Q₁₆	—	2	2	no	—
558	Q₁₆	—	4	1	no	—
559	SD₁₆	—	2	2	no	—
560	SD₁₆	—	2	2	no	—
561	SD₁₆	—	2	2	no	—
562	SD₁₆	—	2	2	no	—
563	SD₁₆	—	2	2	no	—
564	SD₁₆	—	4	1	no	—
565	SD₁₆	—	4	1	no	—
566	SD₁₆	—	4	1	no	—
567	SD₁₆	—	4	1	no	—
568	SD₁₆	#41	1	4	yes	complemented
569	D₈	—	2	2	no	—
570	D₈	—	2	2	no	—
571	D₈	—	4	1	no	—
572	M₁₆	—	2	2	no	—
573	M₁₆	—	2	2	no	—
574	M₁₆	—	4	1	no	—
575	M₁₆	—	4	1	no	—
576	C₂×C₈	—	2	2	no	—
577	C₂×C₈	—	4	1	no	—
578	C₂×C₈	C₂⁴	1	1	yes	characteristic
579	C₂×C₈	C₂⁴	1	1	yes	characteristic
580	C₂×C₈	C₂⁴	1	1	yes	characteristic
581	C₂×C₈	C₂⁴	1	1	yes	characteristic
582	C₂×C₈	C₂⁴	1	1	yes	characteristic
583	C₂×C₈	C₂⁴	1	1	yes	characteristic
584	C₂×C₈	C₂⁴	1	1	yes	characteristic
585	C₂×C₈	C₂⁴	1	1	yes	characteristic
586	C₄⋊C₄	—	2	1	no	—
587	C₄⋊C₄	—	2	1	no	—
588	C₄⋊C₄	—	2	1	no	—
589	C₄⋊C₄	—	2	1	no	—
590	C₄⋊C₄	—	2	1	no	—
591	C₄⋊C₄	—	2	1	no	—
592	C₄⋊C₄	—	2	1	no	—
593	C₄⋊C₄	—	2	1	no	—
594	C₄⋊C₄	—	2	1	no	—
595	C₄⋊C₄	—	2	1	no	—
596	C₄⋊C₄	—	2	1	no	—
597	C₄⋊C₄	—	2	1	no	—
598	C₄⋊C₄	—	2	1	no	—
599	C₄⋊C₄	—	2	1	no	—
600	C₄⋊C₄	—	2	1	no	—
601	C₄⋊C₄	—	2	1	no	—
602	C₄⋊C₄	—	2	1	no	—
603	C₄⋊C₄	—	2	1	no	—
604	C₄⋊C₄	—	2	1	no	—
605	C₄⋊C₄	—	2	1	no	—
606	C₄⋊C₄	—	2	1	no	—
607	C₄⋊C₄	—	2	1	no	—
608	C₄⋊C₄	—	2	1	no	—
609	C₄⋊C₄	—	2	1	no	—
610	C₄⋊C₄	—	2	1	no	—
611	C₄⋊C₄	—	2	1	no	—
612	C₄⋊C₄	—	2	1	no	—
613	C₄⋊C₄	—	2	1	no	—
614	C₄⋊C₄	—	2	1	no	—
615	C₄⋊C₄	—	2	1	no	—
616	C₄⋊C₄	—	2	1	no	—
617	C₄⋊C₄	—	2	1	no	—
618	C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
619	C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
620	C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
621	C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
622	C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
623	C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
624	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
625	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
626	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
627	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
628	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
629	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
630	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
631	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
632	C₂²⋊C₄	—	2	1	no	—
633	C₂²⋊C₄	—	2	1	no	—
634	C₂²⋊C₄	—	2	1	no	—
635	C₂²⋊C₄	—	2	1	no	—
636	C₂²⋊C₄	—	2	1	no	—
637	C₂²⋊C₄	—	2	1	no	—
638	C₂²⋊C₄	—	2	1	no	—
639	C₂²⋊C₄	—	2	1	no	—
640	C₂²⋊C₄	—	2	1	no	—
641	C₂²⋊C₄	—	2	1	no	—
642	C₂²⋊C₄	—	2	1	no	—
643	C₂²⋊C₄	—	2	1	no	—
644	C₂²⋊C₄	—	2	1	no	—
645	C₂²⋊C₄	—	2	1	no	—
646	C₂²⋊C₄	—	2	1	no	—
647	C₂²⋊C₄	—	2	1	no	—
648	C₂²⋊C₄	—	2	1	no	—
649	C₂²⋊C₄	—	2	1	no	—
650	C₂²⋊C₄	—	2	1	no	—
651	C₂²⋊C₄	—	2	1	no	—
652	C₂²⋊C₄	—	2	1	no	—
653	C₂²⋊C₄	—	2	1	no	—
654	C₂²⋊C₄	—	2	1	no	—
655	C₂²⋊C₄	—	2	1	no	—
656	C₂²⋊C₄	—	2	1	no	—
657	C₂²⋊C₄	—	2	1	no	—
658	C₂²⋊C₄	—	2	1	no	—
659	C₂²⋊C₄	—	2	1	no	—
660	C₂²⋊C₄	—	2	1	no	—
661	C₂²⋊C₄	—	2	1	no	—
662	C₂²⋊C₄	—	2	1	no	—
663	C₂²⋊C₄	—	2	1	no	—
664	C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
665	C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
666	C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
667	C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
668	C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
669	C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
670	C₄²	—	2	1	no	—
671	C₄²	—	2	1	no	—
672	C₄²	—	2	1	no	—
673	C₄²	—	2	1	no	—
674	C₄²	—	2	1	no	—
675	C₄²	—	2	1	no	—
676	C₄²	—	2	1	no	—
677	C₄²	—	2	1	no	—
678	C₄²	—	2	1	no	—
679	C₄²	—	2	1	no	—
680	C₄²	—	2	1	no	—
681	C₄²	—	2	1	no	—
682	C₄²	C₂×D₄	1	1	yes	characteristic
683	C₄²	C₂×D₄	1	1	yes	characteristic
684	C₄²	C₂×D₄	1	1	yes	characteristic
685	C₄²	C₂×D₄	1	1	yes	characteristic
686	C₄²	C₂×D₄	1	1	yes	characteristic
687	C₄²	C₂×D₄	1	1	yes	characteristic
688	C₄²	C₂⁴	1	1	yes	characteristic
689	C₄²	C₂⁴	1	1	yes	characteristic
690	C₄²	C₂⁴	1	1	yes	characteristic
691	C₄²	C₂⁴	1	1	yes	characteristic
692	C₂³	—	2	1	no	—
693	C₂³	—	2	1	no	—
694	C₂³	—	2	1	no	—
695	C₂³	—	2	1	no	—
696	C₂³	—	4	2	no	—
697	C₂³	—	4	2	no	—
698	C₂³	—	4	2	no	—
699	C₂³	—	4	2	no	—
700	C₂³	—	8	1	no	—
701	C₂³	—	8	1	no	—
702	C₂³	C₂²×D₄	1	1	yes	characteristic
703	C₂³	C₂²×D₄	1	1	yes	characteristic
704	C₂³	C₂²×D₄	1	1	yes	characteristic
705	Q₈	—	2	1	no	—
706	Q₈	—	2	1	no	—
707	Q₈	—	2	1	no	—
708	Q₈	—	2	1	no	—
709	Q₈	—	2	1	no	—
710	Q₈	—	2	1	no	—
711	Q₈	—	2	1	no	—
712	Q₈	—	4	1	no	—
713	Q₈	—	4	2	no	—
714	Q₈	—	4	2	no	—
715	Q₈	—	4	2	no	—
716	Q₈	—	8	1	no	—
717	Q₈	C₂×#41	1	2	yes	—
718	D₄	—	2	2	no	—
719	D₄	—	2	2	no	—
720	D₄	—	2	1	no	—
721	D₄	—	2	1	no	—
722	D₄	—	2	1	no	—
723	D₄	—	2	1	no	—
724	D₄	—	2	1	no	—
725	D₄	—	2	1	no	—
726	D₄	—	2	1	no	—
727	D₄	—	4	1	no	—
728	D₄	—	4	2	no	—
729	D₄	—	4	2	no	—
730	D₄	—	4	2	no	—
731	D₄	—	4	2	no	—
732	D₄	—	4	2	no	—
733	D₄	—	4	2	no	—
734	D₄	—	4	2	no	—
735	D₄	—	4	2	no	—
736	D₄	—	4	2	no	—
737	D₄	—	8	1	no	—
738	D₄	—	8	1	no	—
739	D₄	—	8	1	no	—
740	D₄	C₂×#41	1	2	yes	—
741	C₂×C₄	—	2	2	no	—
742	C₂×C₄	—	2	1	no	—
743	C₂×C₄	—	2	2	no	—
744	C₂×C₄	—	2	2	no	—
745	C₂×C₄	—	2	2	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	—	4	1	no	—
764	C₂×C₄	—	4	1	no	—
765	C₂×C₄	—	4	2	no	—
766	C₂×C₄	—	4	2	no	—
767	C₂×C₄	—	4	2	no	—
768	C₂×C₄	—	4	2	no	—
769	C₂×C₄	—	4	2	no	—
770	C₂×C₄	—	4	2	no	—
771	C₂×C₄	—	4	2	no	—
772	C₂×C₄	—	4	2	no	—
773	C₂×C₄	—	4	2	no	—
774	C₂×C₄	—	4	2	no	—
775	C₂×C₄	—	4	2	no	—
776	C₂×C₄	—	4	2	no	—
777	C₂×C₄	—	8	1	no	—
778	C₂×C₄	—	8	1	no	—
779	C₂×C₄	—	8	1	no	—
780	C₂×C₄	—	8	1	no	—
781	C₂×C₄	—	8	1	no	—
782	C₂×C₄	—	8	1	no	—
783	C₂×C₄	C₂²×D₄	1	1	yes	characteristic
784	C₂×C₄	C₂²×D₄	1	1	yes	characteristic
785	C₂×C₄	C₂²×D₄	1	1	yes	characteristic
786	C₂×C₄	C₂²×D₄	1	1	yes	characteristic
787	C₂×C₄	C₂²×D₄	1	1	yes	characteristic
788	C₂×C₄	C₂²×D₄	1	1	yes	characteristic
789	C₂×C₄	C₂²×D₄	1	1	yes	characteristic
790	C₂×C₄	C₂²×D₄	1	1	yes	characteristic
791	C₂×C₄	C₂²×D₄	1	1	yes	characteristic
792	C₂×C₄	C₂²×D₄	1	1	yes	characteristic
793	C₂×C₄	C₂²×D₄	1	1	yes	characteristic
794	C₂×C₄	C₂⁵	1	1	yes	characteristic
795	C₈	—	2	1	no	—
796	C₈	—	2	1	no	—
797	C₈	—	2	1	no	—
798	C₈	—	2	1	no	—
799	C₈	—	2	1	no	—
800	C₈	—	2	1	no	—
801	C₈	—	2	1	no	—
802	C₈	C₂×#41	1	2	yes	—
803	C₂²	—	2	1	no	—
804	C₂²	—	2	1	no	—
805	C₂²	—	2	1	no	—
806	C₂²	—	2	1	no	—
807	C₂²	—	2	2	no	—
808	C₂²	—	2	1	no	—
809	C₂²	—	2	1	no	—
810	C₂²	—	2	1	no	—
811	C₂²	—	2	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	—	8	4	no	—
824	C₂²	—	8	4	no	—
825	C₂²	#575	1	2	yes	—
826	C₂²	C₂³×D₄	1	1	yes	characteristic
827	C₄	—	2	1	no	—
828	C₄	—	2	1	no	—
829	C₄	—	2	1	no	—
830	C₄	—	2	2	no	—
831	C₄	—	2	1	no	—
832	C₄	—	2	1	no	—
833	C₄	—	2	1	no	—
834	C₄	—	2	1	no	—
835	C₄	—	2	1	no	—
836	C₄	—	2	1	no	—
837	C₄	—	2	1	no	—
838	C₄	—	4	1	no	—
839	C₄	—	4	1	no	—
840	C₄	—	4	1	no	—
841	C₄	—	4	1	no	—
842	C₄	—	4	1	no	—
843	C₄	—	4	1	no	—
844	C₄	—	4	1	no	—
845	C₄	—	4	1	no	—
846	C₄	—	4	1	no	—
847	C₄	—	4	1	no	—
848	C₄	—	4	1	no	—
849	C₄	#577	1	2	yes	—
850	C₄	C₂²×#41	1	1	yes	characteristic
851	C₄	#585	1	1	yes	characteristic
852	C₂	—	2	2	no	—
853	C₂	—	4	1	no	—
854	C₂	—	4	1	no	—
855	C₂	—	4	2	no	—
856	C₂	—	8	1	no	—
857	C₂	—	8	1	no	—
858	C₂	—	8	1	no	—
859	C₂	D₄×#41	1	1	yes	characteristic
860	C₂	C₂×#575	1	1	yes	characteristic
861	C₂	C₂×#577	1	1	yes	characteristic

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

Complements

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

N	H ≅ G/N	type
1. #3482	C₂	semidirect
2. #3481	C₂	semidirect
3. #3401	C₂	semidirect
4. #3388	C₂	semidirect
5. #3376	C₂	semidirect
6. #3371	C₂	semidirect
7. #3351	C₂	semidirect
8. #3345	C₂	semidirect
9. #3344	C₂	semidirect
10. #3326	C₂	semidirect
11. #3323	C₂	semidirect
12. #3320	C₂	semidirect
13. #3316	C₂	semidirect
14. #3310	C₂	semidirect
15. #3306	C₂	semidirect
16. #3275	C₂	semidirect
17. #3266	C₂	semidirect
18. #3265	C₂	semidirect
19. #3172	C₂	semidirect
20. #3171	C₂	semidirect
21. #3168	C₂	semidirect
22. #3108	C₂	semidirect
23. #3105	C₂	semidirect
24. #3103	C₂	semidirect
25. #3102	C₂	semidirect
26. #3102	C₂	semidirect
27. #3101	C₂	semidirect
28. #2965	C₂	semidirect
29. C₄×#137	C₂	semidirect
30. C₄×AGL(1,ℤ/8)	C₂	semidirect
31. C₂×C₄×SD₁₆	C₂	semidirect
36. #557	C₂²	semidirect
38. #556	C₂²	semidirect
47. #552	C₂²	semidirect
50. D₄×Q₈	C₂²	semidirect
52. #548	C₂²	semidirect
54. #547	C₂²	semidirect
60. #533	C₂²	semidirect
67. #529	C₂²	semidirect
68. #529	C₂²	semidirect
74. C₄×#41	C₂²	semidirect
75. C₂×C₄×Q₈	C₂²	semidirect
76. C₂×C₄×Q₈	C₂²	semidirect
80. #501	C₂²	semidirect
81. #501	C₂²	semidirect
82. #499	C₂²	semidirect
83. #497	C₂²	semidirect
85. #495	C₂²	semidirect
86. #491	C₂²	semidirect
88. #489	C₂²	semidirect
89. #489	C₂²	semidirect
90. #488	C₂²	semidirect
91. #488	C₂²	semidirect
92. #485	C₂²	semidirect
93. #485	C₂²	semidirect
94. #484	C₂²	semidirect
95. #483	C₂²	semidirect
96. #483	C₂²	semidirect
97. #483	C₂²	semidirect
99. #482	C₂²	semidirect
100. #481	C₂²	semidirect
101. #481	C₂²	semidirect
102. #481	C₂²	semidirect
104. #479	C₂²	semidirect
105. #479	C₂²	semidirect
106. #479	C₂²	semidirect
107. #479	C₂²	semidirect
110. #478	C₂²	semidirect
111. #478	C₂²	semidirect
113. #476	C₂²	semidirect
114. #475	C₂²	semidirect
115. #475	C₂²	semidirect
116. #470	C₂²	semidirect
117. #470	C₂²	semidirect
118. #469	C₂²	semidirect
119. #469	C₂²	semidirect
122. #468	C₂²	semidirect
123. #468	C₂²	semidirect
124. #467	C₂²	semidirect
127. #465	C₂²	semidirect
128. #464	C₂²	semidirect
129. #464	C₂²	semidirect
130. #464	C₂²	semidirect
131. #464	C₂²	semidirect
134. #463	C₂²	semidirect
135. #463	C₂²	semidirect
137. #461	C₂²	semidirect
141. #452	C₂²	semidirect
142. #451	C₂²	semidirect
149. #448	C₂²	semidirect
150. #448	C₂²	semidirect
152. #446	C₂²	semidirect
153. #446	C₂²	semidirect
155. #442	C₂²	semidirect
156. #441	C₂²	semidirect
157. #441	C₂²	semidirect
161. #440	C₂²	semidirect
162. C₄×Q₁₆	C₂²	semidirect
163. C₄×Q₁₆	C₂²	semidirect
164. C₄×Q₁₆	C₂²	semidirect
170. C₄×SD₁₆	C₂²	semidirect
171. C₄×SD₁₆	C₂²	semidirect
172. C₄×SD₁₆	C₂²	semidirect
173. C₄×SD₁₆	C₂²	semidirect
174. C₄×SD₁₆	C₂²	semidirect
175. C₄×SD₁₆	C₂²	semidirect
176. C₄×SD₁₆	C₂²	semidirect
177. C₄×SD₁₆	C₂²	semidirect
178. C₄×SD₁₆	C₂²	semidirect
180. C₄×D₈	C₂²	semidirect
181. C₄×D₈	C₂²	semidirect
182. #436	C₂²	semidirect
183. #436	C₂²	semidirect
186. #435	C₂²	semidirect
187. #435	C₂²	semidirect
188. #431	C₂²	semidirect
189. #431	C₂²	semidirect
190. #431	C₂²	semidirect
191. #428	C₂²	semidirect
192. #428	C₂²	semidirect
193. C₂×#106	C₂²	semidirect
194. #419	C₂²	semidirect
197. #417	C₂²	semidirect
198. C₂×#103	C₂²	semidirect
200. C₄×M₁₆	C₂²	semidirect
201. C₄×M₁₆	C₂²	semidirect
202. C₂×C₄×C₈	C₂²	semidirect
568. SD₁₆	#41	semidirect

Maximal subgroups

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

subgroup	index
#3482	2
#3481	2
#3401	2
#3388	2
#3376	2
#3371	2
#3351	2
#3345	2
#3344	2
#3326	2
#3323	2
#3320	2
#3316	2
#3310	2
#3306	2
#3275	2
#3266	2
#3265	2
#3172	2
#3171	2
#3168	2
#3108	2
#3105	2
#3103	2
#3102	2
#3101	2
#2965	2
C₄×#137	2
C₄×AGL(1,ℤ/8)	2
C₂×C₄×SD₁₆	2