Finite Group Databasebeta

← #17052478

Subgroups — #17052478

Order 4352.

1042 conjugacy classes of subgroups.

The subgroup lattice has 686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11762851C211yesmaximal, characteristic, complemented
2C22×#10587488C211yesmaximal, characteristic, complemented
3#14531713C211yesmaximal, characteristic
4D4×C4⋊Dic17C211yesmaximal, characteristic
5#14529554C211yesmaximal, characteristic, complemented
6#14529548C211yesmaximal, characteristic, complemented
7#14528985C211yesmaximal, characteristic, complemented
8#14528979C211yesmaximal, characteristic, complemented
9#14528979C211yesmaximal, characteristic, complemented
10#14528974C211yesmaximal, characteristic, complemented
11#14528952C211yesmaximal, characteristic, complemented
12#14528817C211yesmaximal, characteristic, complemented
13#14528813C211yesmaximal, characteristic, complemented
14#14528681C211yesmaximal, characteristic, complemented
15C2×C17×#435C211yesmaximal, characteristic
16C2×D4×Dic17—21no—
17C2×#10587612C2211yescharacteristic
18C22×C4⋊Dic17C2211yescharacteristic
19C22×C4⋊Dic17C2211yescharacteristic
20C22×C4⋊Dic17C2211yescharacteristic
21#11762851—24no—
22C2×#10587489C2211yescharacteristic
23C2×#10587489C2211yescharacteristic
24C2×#10587489C2211yescharacteristic
25C2×#10587489C2211yescharacteristic
26C2×#10587488—24no—
27C2×#10587488C2211yescharacteristic
28C2×#10587488C2211yescharacteristic
29C2×#10587488C2211yescharacteristic
30C2×#10587488C2211yescharacteristic
31C2×#10587488C2211yescharacteristic
32C2×#10587488C2211yescharacteristic
33#11762708—21no—
34#11762702—21no—
35#11762695—21no—
36#11762689—21no—
37#11762684—21no—
38#11762684—21no—
39#11762679C2211yescharacteristic
40#11762675C2211yescharacteristic
41#11762669C2211yescharacteristic
42#11762669C2211yescharacteristic
43#11762669C2211yescharacteristic
44#11762669C2211yescharacteristic
45C4×C4⋊Dic17C2211yescharacteristic
46C4×C4⋊Dic17C2211yescharacteristic
47C22⋊C4×Dic17—21no—
48#11762572C2211yescharacteristic
49#11762572C2211yescharacteristic
50#11762572C2211yescharacteristic
51#11762572C2211yescharacteristic
52#11762572C2211yescharacteristic
53#11762572C2211yescharacteristic
54C22×M16×C17C2211yescharacteristic
55C23×C8×C17C2211yescharacteristic
56C2×C4×D4×C17C2211yescharacteristic
57C17×#435C418yescomplemented
58C2×C17×C4⋊C8C2211yescharacteristic
59C2×C17×C22⋊C8C2211yescharacteristic
60C2×C17×C22⋊C8C2211yescharacteristic
61C2×C17×#97C2211yescharacteristic
62C22×D4×C17D411yescharacteristic
63C23×C4×C17C2311yescharacteristic
64C23×C4×C17C2311yescharacteristic
65C23×Dic17—21no—
66C23×Dic17—21no—
67C23×Dic17—21no—
68C2×M16×C17—22no—
69C2×M16×C17—22no—
70C2×M16×C17C2×C414yescomplemented
71C22×C8×C17—22no—
72C22×C8×C17—22no—
73C22×C8×C17C2×C414yescomplemented
74C22×C8×C17C2311yescharacteristic
75C22×C8×C17C2311yescharacteristic
76C22×C8×C17C2311yescharacteristic
77C22×C8×C17C2311yescharacteristic
78C4×D4×C17C2×C414yes—
79C4×D4×C17Q814yes—
80C2×C4⋊C4×C17D411yescharacteristic
81C2×C22⋊C4×C17D411yescharacteristic
82C2×C22⋊C4×C17D411yescharacteristic
83C2×C42×C17C2311yescharacteristic
84C2×C22⋊Dic17—21no—
85C2×C22⋊Dic17—21no—
86C2×C22⋊Dic17—21no—
87C2×C22⋊Dic17—21no—
88C2×C22⋊Dic17—21no—
89D4×Dic17—44no—
90#10587612—22no—
91#10587612—41no—
92C2×C4⋊Dic17—21no—
93C2×C4⋊Dic17—21no—
94C2×C4⋊Dic17—21no—
95C2×C4⋊Dic17—21no—
96C2×C4⋊Dic17—21no—
97C2×C4⋊Dic17—22no—
98C2×C4⋊Dic17—22no—
99C2×C4⋊Dic17—22no—
100C2×C4⋊Dic17—41no—
101C2×C4⋊Dic17—41no—
102C2×C4⋊Dic17—41no—
103C2×C4⋊Dic17C2311yescharacteristic
104C2×C4⋊Dic17C2311yescharacteristic
105C2×C4⋊Dic17C2311yescharacteristic
106C2×C4⋊Dic17C2311yescharacteristic
107C2×C4⋊Dic17C2311yescharacteristic
108C2×C4⋊Dic17C2311yescharacteristic
109C2×C4⋊Dic17C2311yescharacteristic
110C2×C4⋊Dic17C2311yescharacteristic
111C2×C4×Dic17—21no—
112C2×C4×Dic17—21no—
113C2×C4×Dic17—21no—
114C17×C4⋊C8C2×C414yescomplemented
115C17×C22⋊C8C2×C414yescomplemented
116C17×C22⋊C8C2×C414yescomplemented
117C17×#97C2×C414yescomplemented
118#10587502—21no—
119#10587502—21no—
120#10587502—21no—
121#10587502—21no—
122#10587502—21no—
123#10587502—21no—
124#10587502—21no—
125#10587502—21no—
126#10587489—22no—
127#10587489—22no—
128#10587489—22no—
129#10587489—41no—
130#10587488—22no—
131#10587488—22no—
132#10587488—22no—
133#10587488—22no—
134#10587488—41no—
135#10587488D414yescomplemented
136C24×C17C2×D411yescharacteristic
137C24×C17C2×D411yescharacteristic
138C2×D4×C17—22no—
139C2×D4×C17—22no—
140C2×D4×C17C4⋊C414yes—
141C22×C4×C17—21no—
142C22×C4×C17—21no—
143C22×C4×C17—21no—
144C22×C4×C17—21no—
145C22×C4×C17—21no—
146C22×C4×C17—21no—
147C22×C4×C17—21no—
148C22×C4×C17—21no—
149C22×C4×C17C22×C412yes—
150C22×C4×C17C22×C412yes—
151C22×C4×C17C2×D411yescharacteristic
152C22×C4×C17C2×D411yescharacteristic
153C22×C4×C17C2×D411yescharacteristic
154C22×C4×C17C2×D411yescharacteristic
155C22×C4×C17C2×Q812yes—
156C22×C4×C17C2×Q812yes—
157C22×C4×C17C2411yescharacteristic
158C22×Dic17—21no—
159C22×Dic17—21no—
160C22×Dic17—21no—
161C22×Dic17—21no—
162C22×Dic17—21no—
163C22×Dic17—21no—
164C22×Dic17—21no—
165C22×Dic17—21no—
166C22×Dic17—42no—
167C22×Dic17—42no—
168C22×Dic17—42no—
169C22×Dic17—42no—
170C22×Dic17—42no—
171C22×Dic17—42no—
172C22×Dic17—81no—
173C22×Dic17—81no—
174C22×Dic17—81no—
175M16×C17—28no—
176C2×C8×C17—21no—
177C2×C8×C17—21no—
178C2×C8×C17—21no—
179C2×C8×C17—21no—
180C2×C8×C17—21no—
181C2×C8×C17—21no—
182C2×C8×C17—28no—
183C2×C8×C17C22×C412yes—
184C2×C8×C17C22×C412yes—
185C2×C8×C17C22×C412yes—
186C2×C8×C17C22×C412yes—
187C2×C8×C17C2×D412yes—
188C2×C8×C17#4112yes—
189C4⋊C4×C17C4⋊C414yes—
190C22⋊C4×C17C4⋊C414yes—
191C22⋊C4×C17C4⋊C414yes—
192C42×C17C22×C412yes—
193C42×C17C2×Q812yes—
194C22⋊Dic17—42no—
195C22⋊Dic17—42no—
196C22⋊Dic17—42no—
197C22⋊Dic17—42no—
198C22⋊Dic17—81no—
199C4⋊Dic17—21no—
200C4⋊Dic17—21no—
201C4⋊Dic17—21no—
202C4⋊Dic17—21no—
203C4⋊Dic17—21no—
204C4⋊Dic17—21no—
205C4⋊Dic17—21no—
206C4⋊Dic17—21no—
207C4⋊Dic17—21no—
208C4⋊Dic17—21no—
209C4⋊Dic17—21no—
210C4⋊Dic17—21no—
211C4⋊Dic17—21no—
212C4⋊Dic17—21no—
213C4⋊Dic17—42no—
214C4⋊Dic17—42no—
215C4⋊Dic17—42no—
216C4⋊Dic17—42no—
217C4⋊Dic17—81no—
218C4⋊Dic17C2×D412yes—
219C4⋊Dic17C2×D412yes—
220C4×Dic17—42no—
221C4×Dic17—42no—
222C4×Dic17—81no—
223#22659—171nomaximal, Sylow
224C23×C17—21no—
225C23×C17—21no—
226C23×C17—21no—
227C23×C17—21no—
228C23×C17—21no—
229C23×C17—21no—
230C23×C17—21no—
231C23×C17—21no—
232C23×C17—21no—
233C23×C17—21no—
234C23×C17C2×C4⋊C412yes—
235C23×C17C2×C4⋊C412yes—
236C23×C17AGL(1,ℤ/8)12yes—
237C23×C17#13712yes—
238C23×C17C22×D411yescharacteristic
239D4×C17—28no—
240C2×C4×C17—21no—
241C2×C4×C17—21no—
242C2×C4×C17—21no—
243C2×C4×C17—21no—
244C2×C4×C17—21no—
245C2×C4×C17—21no—
246C2×C4×C17—21no—
247C2×C4×C17—21no—
248C2×C4×C17—22no—
249C2×C4×C17—22no—
250C2×C4×C17—22no—
251C2×C4×C17—22no—
252C2×C4×C17—22no—
253C2×C4×C17—22no—
254C2×C4×C17—22no—
255C2×C4×C17—22no—
256C2×C4×C17C2×C4⋊C412yes—
257C2×C4×C17C2×C4⋊C412yes—
258C2×C4×C17C2×C4⋊C412yes—
259C2×C4×C17C2×C4⋊C412yes—
260C2×C4×C17C23×C411yescharacteristic
261C2×C4×C17C22×D411yescharacteristic
262C2×C4×C17C22×Q811yescharacteristic
263C2×C4×C17C2×#4111yescharacteristic
264C2×C4×C17H(5,𝔽2)11yescharacteristic
265C2×C4×C172−1+411yescharacteristic
266C2×Dic17—22no—
267C2×Dic17—22no—
268C2×Dic17—41no—
269C2×Dic17—41no—
270C2×Dic17—41no—
271C2×Dic17—41no—
272C2×Dic17—41no—
273C2×Dic17—41no—
274C2×Dic17—41no—
275C2×Dic17—41no—
276C2×Dic17—41no—
277C2×Dic17—41no—
278C2×Dic17—41no—
279C2×Dic17—41no—
280C2×Dic17—41no—
281C2×Dic17—41no—
282C2×Dic17—41no—
283C2×Dic17—41no—
284C2×Dic17—41no—
285C2×Dic17—41no—
286C2×Dic17—41no—
287C2×Dic17—41no—
288C2×Dic17—41no—
289C2×Dic17—41no—
290C2×Dic17—84no—
291C2×Dic17—84no—
292C2×Dic17—84no—
293C8×C17—22no—
294C8×C17—22no—
295C8×C17—22no—
296C8×C17C4×D414yescomplemented
297C2×#435D1711yescharacteristic
298C2×#428—171no—
299C22×#106—171no—
300#2352—171no—
301D4×C4⋊C4—171no—
302#1949—171no—
303#1948—171no—
304#1854—171no—
305#1853—171no—
306#1853—171no—
307#1852—171no—
308#1847—171no—
309#1809—171no—
310#1808—171no—
311#1776—171no—
312C22×C17—22no—
313C22×C17—22no—
314C22×C17—22no—
315C22×C17—22no—
316C22×C17—22no—
317C22×C17—22no—
318C22×C17—22no—
319C22×C17—22no—
320C22×C17—22no—
321C22×C17—41no—
322C22×C17—41no—
323C22×C17—41no—
324C22×C17—41no—
325C22×C17#42814yescomplemented
326C22×C17C22×C4⋊C411yescharacteristic
327C22×C17D4211yescharacteristic
328C22×C17#54711yescharacteristic
329C22×C17C2×AGL(1,ℤ/8)11yescharacteristic
330C22×C17C2×#13711yescharacteristic
331C22×C17#57711yescharacteristic
332C22×C17#57711yescharacteristic
333C4×C17—22no—
334C4×C17—22no—
335C4×C17—22no—
336C4×C17—22no—
337C4×C17C2×C4×D411yescharacteristic
338C4×C17#52011yescharacteristic
339C4×C17D4×Q811yescharacteristic
340C4×C17#55411yescharacteristic
341Dic17—42no—
342Dic17—42no—
343Dic17—81no—
344Dic17—81no—
345Dic17—81no—
346Dic17—81no—
347Dic17—81no—
348Dic17—81no—
349C22×M16C2×D1711yescharacteristic
350C23×C8C2×D1711yescharacteristic
351C2×C4×D4—341no—
352C2×C4×D4C2×D1711yescharacteristic
353C2×#117—171no—
354C22×C4⋊C4—171no—
355C22×C4⋊C4—171no—
356C22×C4⋊C4—171no—
357#435Dic1718yescomplemented
358#428—344no—
359C2×#107—171no—
360C2×#107—171no—
361C2×#107—171no—
362C2×#107—171no—
363C2×#106—171no—
364C2×#106—171no—
365C2×#106—171no—
366C2×#106—171no—
367C2×#106—171no—
368C2×#106—171no—
369C2×#106—344no—
370C2×C4⋊C8C2×D1711yescharacteristic
371C2×C22⋊C8C2×D1711yescharacteristic
372C2×C22⋊C8C2×D1711yescharacteristic
373C2×#97C2×D1711yescharacteristic
374#389—341no—
375#388—341no—
376#387—341no—
377#386—341no—
378#385—341no—
379#385—341no—
380#384—171no—
381#382—171no—
382#380—171no—
383#380—171no—
384#380—171no—
385#380—171no—
386C4×C4⋊C4—171no—
387C4×C4⋊C4—171no—
388C4×C22⋊C4—341no—
389#340—171no—
390#340—171no—
391#340—171no—
392#340—171no—
393#340—171no—
394#340—171no—
395C2×C17—24no—
396C2×C17—42no—
397C2×C17D4×C4⋊C411yescharacteristic
398C2×C17C2×#42811yescharacteristic
399C2×C17#291211yescharacteristic
400C2×C17#326511yescharacteristic
401C2×C17#326611yescharacteristic
402C2×C17#334411yescharacteristic
403C2×C17#334511yescharacteristic
404C22×D4D6811yescharacteristic
405C23×C4—341no—
406C23×C4—341no—
407C23×C4—341no—
408C23×C4C22×D1711yescharacteristic
409C23×C4C22×D1711yescharacteristic
410C2×M16—22no—
411C2×M16—22no—
412C2×M16C2×Dic1714yescomplemented
413C22×C8—22no—
414C22×C8—22no—
415C22×C8C2×Dic1714yescomplemented
416C22×C8C22×D1711yescharacteristic
417C22×C8C22×D1711yescharacteristic
418C22×C8C22×D1711yescharacteristic
419C22×C8C22×D1711yescharacteristic
420C4×D4—684no—
421C4×D4Dic3414yes—
422C4×D4C2×Dic1714yes—
423#117—342no—
424#117—681no—
425C2×C4⋊C4—171no—
426C2×C4⋊C4—171no—
427C2×C4⋊C4—171no—
428C2×C4⋊C4—171no—
429C2×C4⋊C4—171no—
430C2×C4⋊C4—171no—
431C2×C4⋊C4—171no—
432C2×C4⋊C4—171no—
433C2×C4⋊C4—342no—
434C2×C4⋊C4—342no—
435C2×C4⋊C4—342no—
436C2×C4⋊C4—341no—
437C2×C4⋊C4—341no—
438C2×C4⋊C4—341no—
439C2×C4⋊C4—341no—
440C2×C4⋊C4—341no—
441C2×C4⋊C4—681no—
442C2×C4⋊C4—681no—
443C2×C4⋊C4—681no—
444C2×C4⋊C4D6811yescharacteristic
445C2×C22⋊C4—341no—
446C2×C22⋊C4—341no—
447C2×C22⋊C4—341no—
448C2×C22⋊C4—341no—
449C2×C22⋊C4—341no—
450C2×C22⋊C4D6811yescharacteristic
451C2×C22⋊C4D6811yescharacteristic
452C2×C42—341no—
453C2×C42—341no—
454C2×C42—341no—
455C2×C42C22×D1711yescharacteristic
456#107—342no—
457#107—342no—
458#107—342no—
459#107—681no—
460#106—174no—
461#106—342no—
462#106—342no—
463#106—342no—
464#106—342no—
465#106—681no—
466C4⋊C8C2×Dic1714yescomplemented
467C22⋊C8C2×Dic1714yescomplemented
468C22⋊C8C2×Dic1714yescomplemented
469#97C2×Dic1714yescomplemented
470#95—341no—
471#95—341no—
472#95—341no—
473#95—341no—
474#95—341no—
475#95—341no—
476#95—341no—
477#95—341no—
478C17#2265911yescharacteristic, complemented, Sylow
479C24C2×D6811yescharacteristic
480C24C2×D6811yescharacteristic
481C2×D4—22no—
482C2×D4—22no—
483C2×D4C4⋊Dic1714yes—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—341no—
493C22×C4—341no—
494C22×C4—341no—
495C22×C4—341no—
496C22×C4—341no—
497C22×C4—341no—
498C22×C4—341no—
499C22×C4—341no—
500C22×C4—682no—
501C22×C4—682no—
502C22×C4—682no—
503C22×C4—682no—
504C22×C4—682no—
505C22×C4—682no—
506C22×C4—1361no—
507C22×C4—1361no—
508C22×C4—1361no—
509C22×C4C2×Dic3412yes—
510C22×C4C2×Dic3412yes—
511C22×C4C2×D6811yescharacteristic
512C22×C4C2×D6811yescharacteristic
513C22×C4C2×D6811yescharacteristic
514C22×C4C2×D6811yescharacteristic
515C22×C4C22×Dic1712yes—
516C22×C4C22×Dic1712yes—
517C22×C4C23×D1711yescharacteristic
518M16—28no—
519C2×C8—21no—
520C2×C8—21no—
521C2×C8—21no—
522C2×C8—21no—
523C2×C8—21no—
524C2×C8—21no—
525C2×C8—28no—
526C2×C8D4×D1712yes—
527C2×C8#6325412yes—
528C2×C8C22×Dic1712yes—
529C2×C8C22×Dic1712yes—
530C2×C8C22×Dic1712yes—
531C2×C8C22×Dic1712yes—
532C4⋊C4—172no—
533C4⋊C4—172no—
534C4⋊C4—341no—
535C4⋊C4—341no—
536C4⋊C4—341no—
537C4⋊C4—341no—
538C4⋊C4—341no—
539C4⋊C4—341no—
540C4⋊C4—341no—
541C4⋊C4—341no—
542C4⋊C4—341no—
543C4⋊C4—341no—
544C4⋊C4—341no—
545C4⋊C4—341no—
546C4⋊C4—341no—
547C4⋊C4—341no—
548C4⋊C4—682no—
549C4⋊C4—682no—
550C4⋊C4—682no—
551C4⋊C4—682no—
552C4⋊C4—1361no—
553C4⋊C4C4⋊Dic1714yes—
554C22⋊C4—682no—
555C22⋊C4—682no—
556C22⋊C4—682no—
557C22⋊C4—682no—
558C22⋊C4—1361no—
559C22⋊C4C4⋊Dic1714yes—
560C22⋊C4C4⋊Dic1714yes—
561C42—682no—
562C42—682no—
563C42—1361no—
564C42C2×Dic3412yes—
565C42C22×Dic1712yes—
566C23—21no—
567C23—21no—
568C23—21no—
569C23—21no—
570C23—21no—
571C23—21no—
572C23—21no—
573C23—21no—
574C23—21no—
575C23—21no—
576C23#1058759412yes—
577C23#1058759512yes—
578C23C2×C4⋊Dic1712yes—
579C23C2×C4⋊Dic1712yes—
580C23C22×D6811yescharacteristic
581D4—28no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—22no—
591C2×C4—22no—
592C2×C4—22no—
593C2×C4—22no—
594C2×C4—22no—
595C2×C4—22no—
596C2×C4—22no—
597C2×C4—22no—
598C2×C4—342no—
599C2×C4—342no—
600C2×C4—681no—
601C2×C4—681no—
602C2×C4—681no—
603C2×C4—681no—
604C2×C4—681no—
605C2×C4—681no—
606C2×C4—681no—
607C2×C4—681no—
608C2×C4—681no—
609C2×C4—681no—
610C2×C4—681no—
611C2×C4—681no—
612C2×C4—681no—
613C2×C4—681no—
614C2×C4—681no—
615C2×C4—681no—
616C2×C4—681no—
617C2×C4—681no—
618C2×C4—681no—
619C2×C4—681no—
620C2×C4—681no—
621C2×C4—681no—
622C2×C4—1364no—
623C2×C4—1364no—
624C2×C4—1364no—
625C2×C4C2×C4⋊Dic1712yes—
626C2×C4C2×C4⋊Dic1712yes—
627C2×C4C2×C4⋊Dic1712yes—
628C2×C4C2×C4⋊Dic1712yes—
629C2×C4C22×Dic3411yescharacteristic
630C2×C4C2×D4×D1711yescharacteristic
631C2×C4C2×#6325411yescharacteristic
632C2×C4#1058769611yescharacteristic
633C2×C4#1058769711yescharacteristic
634C2×C4C23×Dic1711yescharacteristic
635C8—22no—
636C8—22no—
637C8—22no—
638C8D4×Dic1714yescomplemented
639C22—22no—
640C22—22no—
641C22—22no—
642C22—22no—
643C22—22no—
644C22—22no—
645C22—22no—
646C22—22no—
647C22—22no—
648C22—41no—
649C22—41no—
650C22—41no—
651C22—41no—
652C22#1176285114yescomplemented
653C22C22×C4⋊Dic1711yescharacteristic
654C22D4×D6811yescharacteristic
655C22#1176346311yescharacteristic
656C22C2×#1058759411yescharacteristic
657C22C2×#1058759511yescharacteristic
658C22#1176362111yescharacteristic
659C22#1176362111yescharacteristic
660C4—22no—
661C4—22no—
662C4—22no—
663C4—22no—
664C4—682no—
665C4—682no—
666C4—1361no—
667C4—1361no—
668C4—1361no—
669C4—1361no—
670C4—1361no—
671C4—1361no—
672C4C2×D4×Dic1711yescharacteristic
673C4#1176329211yescharacteristic
674C4D4×Dic3411yescharacteristic
675C4#1176351611yescharacteristic
676C2—24no—
677C2—42no—
678C2D4×C4⋊Dic1711yescharacteristic
679C2C2×#1176285111yescharacteristic
680C2#1453737911yescharacteristic
681C2#1454028411yescharacteristic
682C2#1454029911yescharacteristic
683C2#1454124111yescharacteristic
684C2#1454125611yescharacteristic
subgroupG/H
centerC23C22×D68
commutatorC2×C4×C17C23×C4
FrattiniC22×C4C23×D17
FittingC2×C17×#435C2
socleC23×C17C22×D4
prime radicalC22×D4×C17D4
cosocleC22×C4×C17C24
hypercenterC2×#435D17
hypocenterC17#22659
LCSG ▷ C2×C4×C17 ▷ C2×C17 ▷ C17
UCSC1 ◁ C23 ◁ C2×C4×D4 ◁ C2×#435

Complements

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

NH ≅ G/Ntype
1. C2×#11762851C2semidirect
2. C22×#10587488C2semidirect
5. #14529554C2semidirect
6. #14529548C2semidirect
7. #14528985C2semidirect
8. #14528979C2semidirect
9. #14528979C2semidirect
10. #14528974C2semidirect
11. #14528952C2semidirect
12. #14528817C2semidirect
13. #14528813C2semidirect
14. #14528681C2semidirect
57. C17×#435C4semidirect
70. C2×M16×C17C2×C4semidirect
73. C22×C8×C17C2×C4semidirect
114. C17×C4⋊C8C2×C4semidirect
115. C17×C22⋊C8C2×C4semidirect
116. C17×C22⋊C8C2×C4semidirect
117. C17×#97C2×C4semidirect
135. #10587488D4semidirect
296. C8×C17C4×D4semidirect
325. C22×C17#428semidirect
357. #435Dic17semidirect
412. C2×M16C2×Dic17semidirect
415. C22×C8C2×Dic17semidirect
466. C4⋊C8C2×Dic17semidirect
467. C22⋊C8C2×Dic17semidirect
468. C22⋊C8C2×Dic17semidirect
469. #97C2×Dic17semidirect
478. C17#22659semidirect
638. C8D4×Dic17semidirect
652. C22#11762851semidirect

Maximal subgroups

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

subgroupindex
C2×#117628512
C22×#105874882
#145317132
D4×C4⋊Dic172
#145295542
#145295482
#145289852
#145289792
#145289742
#145289522
#145288172
#145288132
#145286812
C2×C17×#4352
#2265917