Subgroups — #61507

Order 256.

943 conjugacy classes of subgroups.

The subgroup lattice has 879 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#3517	C₂	1	1	yes	maximal, characteristic, complemented
2	#3513	C₂	1	1	yes	maximal, characteristic, complemented
3	#3399	C₂	1	1	yes	maximal, characteristic, complemented
4	#3388	C₂	1	1	yes	maximal, characteristic, complemented
5	#3371	C₂	1	1	yes	maximal, characteristic, complemented
6	#3366	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	#3345	C₂	1	1	yes	maximal, characteristic, complemented
10	#3332	C₂	1	1	yes	maximal, characteristic, complemented
11	#3322	C₂	1	1	yes	maximal, characteristic, complemented
12	#3318	C₂	1	1	yes	maximal, characteristic, complemented
13	#3317	C₂	1	1	yes	maximal, characteristic, complemented
14	#3309	C₂	1	1	yes	maximal, characteristic, complemented
15	#3306	C₂	1	1	yes	maximal, characteristic, complemented
16	#3274	C₂	1	1	yes	maximal, characteristic, complemented
17	#3268	C₂	1	1	yes	maximal, characteristic, complemented
18	#3268	C₂	1	1	yes	maximal, characteristic, complemented
19	#3179	C₂	1	1	yes	maximal, characteristic, complemented
20	#3176	C₂	1	1	yes	maximal, characteristic, complemented
21	#3171	C₂	1	1	yes	maximal, characteristic, complemented
22	#3125	C₂	1	1	yes	maximal, characteristic, complemented
23	#3122	C₂	1	1	yes	maximal, characteristic, complemented
24	#3119	C₂	1	1	yes	maximal, characteristic, complemented
25	#3119	C₂	1	1	yes	maximal, characteristic, complemented
26	#3111	C₂	1	1	yes	maximal, characteristic, complemented
27	#3109	C₂	1	1	yes	maximal, characteristic, complemented
28	#2967	C₂	1	1	yes	maximal, characteristic, complemented
29	#2952	C₂	1	1	yes	maximal, characteristic, complemented
30	#2946	C₂	1	1	yes	maximal, characteristic, complemented
31	C₄×AGL(1,ℤ/8)	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
33	C₂×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
34	C₂×#135	C₂²	1	1	yes	characteristic
35	#559	C₂²	1	1	yes	characteristic
36	#557	C₂²	1	1	yes	characteristic, complemented
37	#554	C₂²	1	1	yes	characteristic
38	#553	—	2	1	no	—
39	#553	—	2	1	no	—
40	#553	—	2	1	no	—
41	#553	C₂²	1	1	yes	characteristic
42	#553	C₂²	1	1	yes	characteristic
43	#553	C₂²	1	1	yes	characteristic, complemented
44	#552	C₂²	1	1	yes	characteristic
45	#551	—	2	1	no	—
46	#551	—	2	1	no	—
47	#550	—	2	1	no	—
48	#550	C₂²	1	1	yes	characteristic
49	#550	C₂²	1	1	yes	characteristic, complemented
50	#550	C₂²	1	1	yes	characteristic, complemented
51	#550	C₂²	1	1	yes	characteristic, complemented
52	#547	—	2	1	no	—
53	#547	C₂²	1	1	yes	characteristic
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	#542	C₂²	1	1	yes	characteristic
60	#540	—	2	1	no	—
61	#540	—	2	1	no	—
62	#540	C₂²	1	1	yes	characteristic
63	#540	C₂²	1	1	yes	characteristic, complemented
64	#540	C₂²	1	1	yes	characteristic, complemented
65	#539	—	2	1	no	—
66	#538	—	2	1	no	—
67	#532	—	2	1	no	—
68	#532	C₂²	1	1	yes	characteristic, complemented
69	#529	—	2	1	no	—
70	#529	C₂²	1	1	yes	characteristic
71	#529	C₂²	1	1	yes	characteristic
72	#525	—	2	1	no	—
73	C₂×#123	—	2	1	no	—
74	#520	C₂²	1	1	yes	characteristic
75	#520	C₂²	1	1	yes	characteristic, complemented
76	#520	C₂²	1	1	yes	characteristic, complemented
77	#518	C₂²	1	1	yes	characteristic
78	C₄×#41	C₂²	1	1	yes	characteristic, complemented
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	#496	C₂²	1	1	yes	characteristic, complemented
84	#496	C₂²	1	1	yes	characteristic, complemented
85	#493	C₂²	1	1	yes	characteristic
86	#490	C₂²	1	1	yes	characteristic
87	#490	C₂²	1	1	yes	characteristic, complemented
88	#490	C₂²	1	1	yes	characteristic, complemented
89	#489	C₂²	1	1	yes	characteristic, complemented
90	#488	C₂²	1	1	yes	characteristic, complemented
91	#486	C₂²	1	1	yes	characteristic, complemented
92	#485	C₂²	1	1	yes	characteristic, complemented
93	#483	C₂²	1	1	yes	characteristic, complemented
94	#482	C₂²	1	1	yes	characteristic
95	#482	C₂²	1	1	yes	characteristic, complemented
96	#482	C₂²	1	1	yes	characteristic, complemented
97	#481	C₂²	1	1	yes	characteristic
98	#481	C₂²	1	1	yes	characteristic, complemented
99	#481	C₂²	1	1	yes	characteristic, complemented
100	#481	C₂²	1	1	yes	characteristic, complemented
101	#481	C₂²	1	1	yes	characteristic, complemented
102	#480	C₂²	1	1	yes	characteristic, complemented
103	#480	C₂²	1	1	yes	characteristic, complemented
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	#478	C₂²	1	1	yes	characteristic
108	#478	C₂²	1	1	yes	characteristic
109	#478	C₂²	1	1	yes	characteristic, complemented
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	#476	C₂²	1	1	yes	characteristic, complemented
115	#475	C₂²	1	1	yes	characteristic, complemented
116	#469	C₂²	1	1	yes	characteristic
117	#469	C₂²	1	1	yes	characteristic
118	#469	C₂²	1	1	yes	characteristic
119	#469	C₂²	1	1	yes	characteristic, complemented
120	#469	C₂²	1	1	yes	characteristic, complemented
121	#468	C₂²	1	1	yes	characteristic, complemented
122	#468	C₂²	1	1	yes	characteristic, complemented
123	#468	C₂²	1	1	yes	characteristic, complemented
124	#466	C₂²	1	1	yes	characteristic
125	#466	C₂²	1	1	yes	characteristic, complemented
126	#466	C₂²	1	1	yes	characteristic, complemented
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	#463	C₂²	1	1	yes	characteristic, complemented
131	#463	C₂²	1	1	yes	characteristic, complemented
132	#460	C₂²	1	1	yes	characteristic
133	#460	C₂²	1	1	yes	characteristic, complemented
134	#459	C₂²	1	1	yes	characteristic
135	#459	C₂²	1	1	yes	characteristic
136	#459	C₂²	1	1	yes	characteristic
137	#459	C₂²	1	1	yes	characteristic
138	#459	C₂²	1	1	yes	characteristic, complemented
139	#459	C₂²	1	1	yes	characteristic, complemented
140	#452	C₂²	1	1	yes	characteristic, complemented
141	#452	C₂²	1	1	yes	characteristic, complemented
142	#449	C₂²	1	1	yes	characteristic
143	#449	C₂²	1	1	yes	characteristic
144	#449	C₂²	1	1	yes	characteristic
145	#449	C₂²	1	1	yes	characteristic
146	#449	C₂²	1	1	yes	characteristic, complemented
147	#449	C₂²	1	1	yes	characteristic, complemented
148	#447	C₂²	1	1	yes	characteristic
149	#447	C₂²	1	1	yes	characteristic
150	#447	C₂²	1	1	yes	characteristic
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
156	#442	C₂²	1	1	yes	characteristic
157	#442	C₂²	1	1	yes	characteristic
158	#442	C₂²	1	1	yes	characteristic, complemented
159	#442	C₂²	1	1	yes	characteristic, complemented
160	#442	C₂²	1	1	yes	characteristic, complemented
161	#442	C₂²	1	1	yes	characteristic, complemented
162	#442	C₂²	1	1	yes	characteristic, complemented
163	#441	C₂²	1	1	yes	characteristic, complemented
164	#441	C₂²	1	1	yes	characteristic, complemented
165	#440	C₂²	1	1	yes	characteristic
166	#440	C₂²	1	1	yes	characteristic
167	#440	C₂²	1	1	yes	characteristic, complemented
168	#440	C₂²	1	1	yes	characteristic, complemented
169	#440	C₂²	1	1	yes	characteristic, complemented
170	C₄×SD₁₆	C₂²	1	1	yes	characteristic
171	C₄×SD₁₆	C₂²	1	1	yes	characteristic
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×D₈	C₂²	1	1	yes	characteristic
178	C₄×D₈	C₂²	1	1	yes	characteristic
179	C₄×D₈	C₂²	1	1	yes	characteristic, complemented
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
183	#436	C₂²	1	1	yes	characteristic, complemented
184	#435	C₂²	1	1	yes	characteristic
185	#435	C₂²	1	1	yes	characteristic, complemented
186	#435	C₂²	1	1	yes	characteristic, complemented
187	#435	C₂²	1	1	yes	characteristic, complemented
188	#433	C₂²	1	1	yes	characteristic, complemented
189	#433	C₂²	1	1	yes	characteristic, complemented
190	#432	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	#418	C₂²	1	1	yes	characteristic
195	#417	C₂²	1	1	yes	characteristic
196	#417	C₂²	1	1	yes	characteristic, complemented
197	#417	C₂²	1	1	yes	characteristic, complemented
198	#416	C₂²	1	1	yes	characteristic, complemented
199	C₂×#102	C₂²	1	1	yes	characteristic
200	#405	C₂²	1	1	yes	characteristic, complemented
201	#405	C₂²	1	1	yes	characteristic, complemented
202	C₄×M₁₆	C₂²	1	1	yes	characteristic, complemented
203	C₂×#41	—	2	1	no	—
204	C₂×#41	—	2	1	no	—
205	C₂×#41	—	2	1	no	—
206	C₂×#41	—	2	1	no	—
207	C₂×#41	C₂³	1	1	yes	characteristic
208	C₂×#41	C₂³	1	1	yes	characteristic
209	C₂×#41	C₂³	1	1	yes	characteristic
210	C₂×#41	C₂³	1	1	yes	characteristic
211	C₂²×D₄	—	2	1	no	—
212	C₂²×D₄	C₂³	1	1	yes	characteristic
213	C₂²×D₄	C₂³	1	1	yes	characteristic
214	C₂³×C₄	—	2	1	no	—
215	AGL(1,ℤ/8)	—	2	4	no	—
216	AGL(1,ℤ/8)	—	2	4	no	—
217	#135	—	2	4	no	—
218	C₂×Q₁₆	C₂³	1	1	yes	characteristic
219	C₂×SD₁₆	C₂³	1	1	yes	characteristic
220	C₂×SD₁₆	C₂³	1	1	yes	characteristic
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×D₈	C₂³	1	1	yes	characteristic
226	C₂×D₈	C₂³	1	1	yes	characteristic
227	C₂×D₈	C₂³	1	1	yes	characteristic
228	C₂×D₈	C₂³	1	1	yes	characteristic
229	C₂×D₈	C₂³	1	1	yes	characteristic
230	C₂×D₈	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	C₂³	1	1	yes	characteristic
242	C₄⋊Q₈	C₂³	1	1	yes	characteristic
243	#127	—	2	1	no	—
244	#127	—	2	1	no	—
245	#127	—	2	1	no	—
246	#127	C₂³	1	1	yes	characteristic
247	#127	C₂³	1	1	yes	characteristic
248	#127	C₂³	1	1	yes	characteristic
249	#127	C₂³	1	1	yes	characteristic
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	#126	D₄	1	1	yes	characteristic
257	#126	D₄	1	1	yes	characteristic
258	#125	—	2	1	no	—
259	#125	—	2	1	no	—
260	#125	—	2	1	no	—
261	#125	D₄	1	1	yes	characteristic
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	D₄	1	1	yes	characteristic
270	#124	C₂³	1	1	yes	characteristic
271	#124	C₂³	1	1	yes	characteristic
272	#123	—	2	1	no	—
273	#123	—	2	1	no	—
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	#123	—	2	1	no	—
289	#123	—	2	1	no	—
290	#123	—	2	1	no	—
291	#123	—	2	1	no	—
292	#123	D₄	1	1	yes	characteristic
293	#123	D₄	1	1	yes	characteristic
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	D₄	1	1	yes	characteristic
301	C₂²⋊Q₈	C₂³	1	1	yes	characteristic
302	C₂²⋊Q₈	C₂³	1	1	yes	characteristic
303	#121	—	2	1	no	—
304	#121	—	2	1	no	—
305	#121	—	2	1	no	—
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	—	2	1	no	—
315	#121	—	2	1	no	—
316	#121	—	2	1	no	—
317	#121	—	2	1	no	—
318	#121	—	2	1	no	—
319	#121	—	2	1	no	—
320	#121	—	2	1	no	—
321	#121	—	2	1	no	—
322	#121	—	2	1	no	—
323	#121	—	2	1	no	—
324	#121	—	2	1	no	—
325	#121	D₄	1	1	yes	characteristic
326	#121	C₂³	1	1	yes	characteristic
327	#121	C₂³	1	1	yes	characteristic
328	#121	C₂³	1	1	yes	characteristic
329	#121	C₂³	1	1	yes	characteristic
330	#121	C₂³	1	1	yes	characteristic
331	#121	C₂³	1	1	yes	characteristic
332	#121	C₂³	1	1	yes	characteristic
333	#121	C₂³	1	1	yes	characteristic
334	#121	C₂³	1	1	yes	characteristic
335	#121	C₂³	1	1	yes	characteristic
336	#120	—	2	1	no	—
337	#120	—	2	1	no	—
338	#120	—	2	1	no	—
339	#120	—	2	1	no	—
340	C₄×Q₈	—	2	1	no	—
341	C₄×Q₈	C₂³	1	1	yes	characteristic
342	C₄×Q₈	C₂³	1	1	yes	characteristic
343	C₄×Q₈	C₂³	1	1	yes	characteristic
344	C₄×Q₈	C₂³	1	1	yes	characteristic
345	C₄×Q₈	C₂³	1	1	yes	characteristic
346	C₄×Q₈	C₂³	1	1	yes	characteristic
347	C₄×Q₈	C₂³	1	1	yes	characteristic
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	—	2	1	no	—
363	C₄×D₄	—	2	1	no	—
364	C₄×D₄	—	2	1	no	—
365	C₄×D₄	—	2	1	no	—
366	C₄×D₄	—	2	1	no	—
367	C₄×D₄	—	2	1	no	—
368	C₄×D₄	—	2	1	no	—
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	C₄×D₄	C₂³	1	1	yes	characteristic
379	C₄×D₄	C₂³	1	1	yes	characteristic
380	C₄×D₄	C₂³	1	1	yes	characteristic
381	C₄×D₄	C₂³	1	1	yes	characteristic
382	C₄×D₄	C₂³	1	1	yes	characteristic
383	C₄×D₄	C₂³	1	1	yes	characteristic
384	C₄×D₄	C₂³	1	1	yes	characteristic
385	C₄×D₄	C₂³	1	1	yes	characteristic
386	#117	—	2	1	no	—
387	#117	—	2	1	no	—
388	#117	—	2	1	no	—
389	#117	—	2	1	no	—
390	#117	—	2	1	no	—
391	#117	—	2	1	no	—
392	#117	C₂³	1	1	yes	characteristic
393	#117	C₂³	1	1	yes	characteristic
394	#117	C₂³	1	1	yes	characteristic
395	#117	C₂³	1	1	yes	characteristic
396	C₂×C₄⋊C₄	—	2	1	no	—
397	C₂×C₄⋊C₄	—	2	1	no	—
398	C₂×C₄⋊C₄	—	2	1	no	—
399	C₂×C₄⋊C₄	—	2	1	no	—
400	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
401	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
402	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
403	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
404	C₂×C₂²⋊C₄	—	2	1	no	—
405	C₂×C₂²⋊C₄	—	2	1	no	—
406	C₂×C₂²⋊C₄	—	2	1	no	—
407	C₂×C₂²⋊C₄	—	2	1	no	—
408	C₂×C₂²⋊C₄	—	2	1	no	—
409	C₂×C₄²	—	2	1	no	—
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	#102	C₂³	1	1	yes	characteristic
442	#102	C₂³	1	1	yes	characteristic
443	#102	C₂³	1	1	yes	characteristic
444	#102	C₂³	1	1	yes	characteristic
445	#102	C₂³	1	1	yes	characteristic
446	#102	C₂³	1	1	yes	characteristic
447	#102	C₂³	1	1	yes	characteristic
448	#102	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	#97	C₂³	1	1	yes	characteristic
476	#97	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	—	2	2	no	—
486	#41	—	2	2	no	—
487	#41	—	4	1	no	—
488	#41	—	4	1	no	—
489	#41	—	4	1	no	—
490	#41	—	4	1	no	—
491	#41	—	8	2	no	—
492	#41	—	8	2	no	—
493	#41	—	8	2	no	—
494	#41	—	8	2	no	—
495	C₂×Q₈	—	2	1	no	—
496	C₂×Q₈	—	2	1	no	—
497	C₂×Q₈	C₂×D₄	1	1	yes	characteristic
498	C₂×Q₈	C₂⁴	1	1	yes	characteristic
499	C₂×Q₈	C₂⁴	1	1	yes	characteristic
500	C₂×D₄	—	2	2	no	—
501	C₂×D₄	—	2	2	no	—
502	C₂×D₄	—	2	1	no	—
503	C₂×D₄	—	2	1	no	—
504	C₂×D₄	—	2	1	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	—	2	1	no	—
518	C₂×D₄	—	2	1	no	—
519	C₂×D₄	—	2	1	no	—
520	C₂×D₄	—	2	1	no	—
521	C₂×D₄	—	2	1	no	—
522	C₂×D₄	—	2	1	no	—
523	C₂×D₄	—	2	1	no	—
524	C₂×D₄	—	2	1	no	—
525	C₂×D₄	—	2	1	no	—
526	C₂×D₄	—	4	1	no	—
527	C₂×D₄	—	4	1	no	—
528	C₂×D₄	—	8	2	no	—
529	C₂×D₄	C₂×D₄	1	1	yes	characteristic
530	C₂×D₄	C₂×D₄	1	1	yes	characteristic
531	C₂×D₄	C₂×D₄	1	1	yes	characteristic
532	C₂×D₄	C₂⁴	1	1	yes	characteristic
533	C₂×D₄	C₂⁴	1	1	yes	characteristic
534	C₂×D₄	C₂⁴	1	1	yes	characteristic
535	C₂×D₄	C₂⁴	1	1	yes	characteristic
536	C₂×D₄	C₂⁴	1	1	yes	characteristic
537	C₂×D₄	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
546	C₂²×C₄	—	2	1	no	—
547	C₂²×C₄	—	2	1	no	—
548	C₂²×C₄	—	2	1	no	—
549	C₂²×C₄	—	2	1	no	—
550	C₂²×C₄	—	2	1	no	—
551	C₂²×C₄	—	2	1	no	—
552	C₂²×C₄	—	2	1	no	—
553	C₂²×C₄	—	2	1	no	—
554	C₂²×C₄	—	2	1	no	—
555	C₂²×C₄	—	2	1	no	—
556	C₂²×C₄	—	2	1	no	—
557	C₂²×C₄	—	2	1	no	—
558	C₂²×C₄	—	2	1	no	—
559	C₂²×C₄	—	2	1	no	—
560	C₂²×C₄	—	8	2	no	—
561	C₂²×C₄	C₂×D₄	1	1	yes	characteristic
562	C₂²×C₄	C₂×D₄	1	1	yes	characteristic
563	C₂²×C₄	C₂⁴	1	1	yes	characteristic
564	C₂²×C₄	C₂⁴	1	1	yes	characteristic
565	C₂²×C₄	C₂⁴	1	1	yes	characteristic
566	Q₁₆	—	2	2	no	—
567	SD₁₆	—	2	2	no	—
568	SD₁₆	—	2	2	no	—
569	SD₁₆	—	2	2	no	—
570	SD₁₆	—	4	1	no	—
571	SD₁₆	—	4	1	no	—
572	SD₁₆	#41	1	4	yes	complemented
573	D₈	—	2	2	no	—
574	D₈	—	2	2	no	—
575	D₈	—	2	2	no	—
576	D₈	—	2	2	no	—
577	D₈	—	2	2	no	—
578	D₈	—	4	1	no	—
579	D₈	—	4	1	no	—
580	D₈	—	4	1	no	—
581	D₈	—	4	1	no	—
582	M₁₆	—	2	2	no	—
583	M₁₆	—	2	2	no	—
584	M₁₆	—	4	1	no	—
585	M₁₆	—	4	1	no	—
586	C₂×C₈	—	2	2	no	—
587	C₂×C₈	—	4	1	no	—
588	C₂×C₈	C₂⁴	1	1	yes	characteristic
589	C₂×C₈	C₂⁴	1	1	yes	characteristic
590	C₂×C₈	C₂⁴	1	1	yes	characteristic
591	C₂×C₈	C₂⁴	1	1	yes	characteristic
592	C₂×C₈	C₂⁴	1	1	yes	characteristic
593	C₂×C₈	C₂⁴	1	1	yes	characteristic
594	C₂×C₈	C₂⁴	1	1	yes	characteristic
595	C₂×C₈	C₂⁴	1	1	yes	characteristic
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	C₂×D₄	1	1	yes	characteristic
625	C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
626	C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
627	C₄⋊C₄	C₂×D₄	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	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
633	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
634	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
635	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
665	C₂²⋊C₄	—	2	1	no	—
666	C₂²⋊C₄	—	2	1	no	—
667	C₂²⋊C₄	—	2	1	no	—
668	C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
669	C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
670	C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
671	C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
672	C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
673	C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
674	C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
675	C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
676	C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
677	C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
678	C₄²	—	2	1	no	—
679	C₄²	—	2	1	no	—
680	C₄²	—	2	1	no	—
681	C₄²	—	2	1	no	—
682	C₄²	—	2	1	no	—
683	C₄²	—	2	1	no	—
684	C₄²	—	2	1	no	—
685	C₄²	—	2	1	no	—
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	—	2	1	no	—
697	C₂³	—	2	1	no	—
698	C₂³	—	4	2	no	—
699	C₂³	—	4	2	no	—
700	C₂³	—	4	2	no	—
701	C₂³	—	8	1	no	—
702	C₂³	—	8	1	no	—
703	C₂³	—	8	1	no	—
704	C₂³	C₂²×D₄	1	1	yes	characteristic
705	C₂³	C₂²×D₄	1	1	yes	characteristic
706	C₂³	C₂²×D₄	1	1	yes	characteristic
707	Q₈	—	2	1	no	—
708	Q₈	—	2	1	no	—
709	Q₈	—	2	1	no	—
710	Q₈	—	4	1	no	—
711	Q₈	—	4	2	no	—
712	Q₈	—	8	1	no	—
713	Q₈	C₂×#41	1	2	yes	—
714	D₄	—	2	1	no	—
715	D₄	—	2	1	no	—
716	D₄	—	2	1	no	—
717	D₄	—	2	1	no	—
718	D₄	—	2	1	no	—
719	D₄	—	2	1	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	—	4	1	no	—
726	D₄	—	4	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	—	8	1	no	—
737	D₄	—	8	1	no	—
738	D₄	—	8	1	no	—
739	D₄	—	8	1	no	—
740	D₄	—	8	1	no	—
741	D₄	—	8	1	no	—
742	D₄	—	8	1	no	—
743	D₄	—	8	1	no	—
744	D₄	—	8	1	no	—
745	D₄	—	8	1	no	—
746	D₄	—	8	1	no	—
747	D₄	—	8	1	no	—
748	D₄	—	8	1	no	—
749	D₄	—	8	1	no	—
750	D₄	—	8	1	no	—
751	D₄	—	8	1	no	—
752	D₄	C₂×#41	1	2	yes	—
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	1	no	—
770	C₂×C₄	—	4	1	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	—	8	1	no	—
784	C₂×C₄	—	8	1	no	—
785	C₂×C₄	—	8	1	no	—
786	C₂×C₄	—	8	1	no	—
787	C₂×C₄	—	8	1	no	—
788	C₂×C₄	—	8	1	no	—
789	C₂×C₄	—	8	1	no	—
790	C₂×C₄	—	8	1	no	—
791	C₂×C₄	—	8	1	no	—
792	C₂×C₄	—	8	1	no	—
793	C₂×C₄	C₂²×D₄	1	1	yes	characteristic
794	C₂×C₄	C₂²×D₄	1	1	yes	characteristic
795	C₂×C₄	C₂²×D₄	1	1	yes	characteristic
796	C₂×C₄	C₂²×D₄	1	1	yes	characteristic
797	C₂×C₄	C₂²×D₄	1	1	yes	characteristic
798	C₂×C₄	C₂²×D₄	1	1	yes	characteristic
799	C₂×C₄	C₂²×D₄	1	1	yes	characteristic
800	C₂×C₄	C₂²×D₄	1	1	yes	characteristic
801	C₂×C₄	C₂²×D₄	1	1	yes	characteristic
802	C₂×C₄	C₂²×D₄	1	1	yes	characteristic
803	C₂×C₄	C₂²×D₄	1	1	yes	characteristic
804	C₂×C₄	C₂⁵	1	1	yes	characteristic
805	C₈	—	2	1	no	—
806	C₈	—	2	1	no	—
807	C₈	—	2	1	no	—
808	C₈	—	2	1	no	—
809	C₈	—	2	1	no	—
810	C₈	—	2	1	no	—
811	C₈	—	2	1	no	—
812	C₈	C₂×#41	1	2	yes	—
813	C₂²	—	2	1	no	—
814	C₂²	—	2	1	no	—
815	C₂²	—	2	1	no	—
816	C₂²	—	2	1	no	—
817	C₂²	—	2	1	no	—
818	C₂²	—	2	1	no	—
819	C₂²	—	2	1	no	—
820	C₂²	—	2	1	no	—
821	C₂²	—	2	1	no	—
822	C₂²	—	2	2	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	—	8	4	no	—
841	C₂²	—	16	2	no	—
842	C₂²	C₂³×D₄	1	1	yes	characteristic
843	C₄	—	2	1	no	—
844	C₄	—	2	1	no	—
845	C₄	—	2	1	no	—
846	C₄	—	2	1	no	—
847	C₄	—	2	1	no	—
848	C₄	—	2	1	no	—
849	C₄	—	2	1	no	—
850	C₄	—	2	1	no	—
851	C₄	—	2	1	no	—
852	C₄	—	2	1	no	—
853	C₄	—	2	1	no	—
854	C₄	—	2	2	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	C₂²×#41	1	1	yes	characteristic
865	C₄	#585	1	1	yes	characteristic
866	C₂	—	4	1	no	—
867	C₂	—	4	1	no	—
868	C₂	—	4	1	no	—
869	C₂	—	4	2	no	—
870	C₂	—	8	1	no	—
871	C₂	—	8	1	no	—
872	C₂	—	8	1	no	—
873	C₂	—	8	1	no	—
874	C₂	—	8	1	no	—
875	C₂	D₄×#41	1	1	yes	characteristic
876	C₂	#3585	1	1	yes	characteristic
877	C₂	#3585	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂² ◁ #529 ◁ G
LECS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁

Complements

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

N	H ≅ G/N	type
1. #3517	C₂	semidirect
2. #3513	C₂	semidirect
3. #3399	C₂	semidirect
4. #3388	C₂	semidirect
5. #3371	C₂	semidirect
6. #3366	C₂	semidirect
7. #3351	C₂	semidirect
8. #3345	C₂	semidirect
9. #3345	C₂	semidirect
10. #3332	C₂	semidirect
11. #3322	C₂	semidirect
12. #3318	C₂	semidirect
13. #3317	C₂	semidirect
14. #3309	C₂	semidirect
15. #3306	C₂	semidirect
16. #3274	C₂	semidirect
17. #3268	C₂	semidirect
18. #3268	C₂	semidirect
19. #3179	C₂	semidirect
20. #3176	C₂	semidirect
21. #3171	C₂	semidirect
22. #3125	C₂	semidirect
23. #3122	C₂	semidirect
24. #3119	C₂	semidirect
25. #3119	C₂	semidirect
26. #3111	C₂	semidirect
27. #3109	C₂	semidirect
28. #2967	C₂	semidirect
29. #2952	C₂	semidirect
30. #2946	C₂	semidirect
31. C₄×AGL(1,ℤ/8)	C₂	semidirect
36. #557	C₂²	semidirect
43. #553	C₂²	semidirect
49. #550	C₂²	semidirect
50. #550	C₂²	semidirect
51. #550	C₂²	semidirect
54. #547	C₂²	semidirect
63. #540	C₂²	semidirect
64. #540	C₂²	semidirect
68. #532	C₂²	semidirect
75. #520	C₂²	semidirect
76. #520	C₂²	semidirect
78. C₄×#41	C₂²	semidirect
80. #501	C₂²	semidirect
81. #501	C₂²	semidirect
82. #499	C₂²	semidirect
83. #496	C₂²	semidirect
84. #496	C₂²	semidirect
87. #490	C₂²	semidirect
88. #490	C₂²	semidirect
89. #489	C₂²	semidirect
90. #488	C₂²	semidirect
91. #486	C₂²	semidirect
92. #485	C₂²	semidirect
93. #483	C₂²	semidirect
95. #482	C₂²	semidirect
96. #482	C₂²	semidirect
98. #481	C₂²	semidirect
99. #481	C₂²	semidirect
100. #481	C₂²	semidirect
101. #481	C₂²	semidirect
102. #480	C₂²	semidirect
103. #480	C₂²	semidirect
104. #479	C₂²	semidirect
105. #479	C₂²	semidirect
106. #479	C₂²	semidirect
109. #478	C₂²	semidirect
110. #478	C₂²	semidirect
111. #478	C₂²	semidirect
113. #476	C₂²	semidirect
114. #476	C₂²	semidirect
115. #475	C₂²	semidirect
119. #469	C₂²	semidirect
120. #469	C₂²	semidirect
121. #468	C₂²	semidirect
122. #468	C₂²	semidirect
123. #468	C₂²	semidirect
125. #466	C₂²	semidirect
126. #466	C₂²	semidirect
127. #465	C₂²	semidirect
128. #464	C₂²	semidirect
129. #464	C₂²	semidirect
130. #463	C₂²	semidirect
131. #463	C₂²	semidirect
133. #460	C₂²	semidirect
138. #459	C₂²	semidirect
139. #459	C₂²	semidirect
140. #452	C₂²	semidirect
141. #452	C₂²	semidirect
146. #449	C₂²	semidirect
147. #449	C₂²	semidirect
152. #446	C₂²	semidirect
153. #446	C₂²	semidirect
158. #442	C₂²	semidirect
159. #442	C₂²	semidirect
160. #442	C₂²	semidirect
161. #442	C₂²	semidirect
162. #442	C₂²	semidirect
163. #441	C₂²	semidirect
164. #441	C₂²	semidirect
167. #440	C₂²	semidirect
168. #440	C₂²	semidirect
169. #440	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
179. C₄×D₈	C₂²	semidirect
180. C₄×D₈	C₂²	semidirect
181. C₄×D₈	C₂²	semidirect
183. #436	C₂²	semidirect
185. #435	C₂²	semidirect
186. #435	C₂²	semidirect
187. #435	C₂²	semidirect
188. #433	C₂²	semidirect
189. #433	C₂²	semidirect
190. #432	C₂²	semidirect
191. #428	C₂²	semidirect
192. #428	C₂²	semidirect
193. C₂×#106	C₂²	semidirect
196. #417	C₂²	semidirect
197. #417	C₂²	semidirect
198. #416	C₂²	semidirect
200. #405	C₂²	semidirect
201. #405	C₂²	semidirect
202. C₄×M₁₆	C₂²	semidirect
572. SD₁₆	#41	semidirect

Maximal subgroups

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

subgroup	index
#3517	2
#3513	2
#3399	2
#3388	2
#3371	2
#3366	2
#3351	2
#3345	2
#3332	2
#3322	2
#3318	2
#3317	2
#3309	2
#3306	2
#3274	2
#3268	2
#3179	2
#3176	2
#3171	2
#3125	2
#3122	2
#3119	2
#3111	2
#3109	2
#2967	2
#2952	2
#2946	2
C₄×AGL(1,ℤ/8)	2