Finite Group Databasebeta

← #17052523

Subgroups — #17052523

Order 4352.

970 conjugacy classes of subgroups.

The subgroup lattice has 672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11762851C211yesmaximal, characteristic, complemented
2C2×#11762847C211yesmaximal, characteristic, complemented
3#14531733C211yesmaximal, characteristic
4#14531713C211yesmaximal, characteristic
5#14529554C211yesmaximal, characteristic, complemented
6#14529548C211yesmaximal, characteristic, complemented
7#14528985C211yesmaximal, characteristic, complemented
8#14528985C211yesmaximal, characteristic, complemented
9#14528985C211yesmaximal, characteristic, complemented
10#14528979C211yesmaximal, characteristic, complemented
11#14528952C211yesmaximal, characteristic, complemented
12#14528817C211yesmaximal, characteristic, complemented
13#14528809C211yesmaximal, characteristic, complemented
14#14528681C211yesmaximal, characteristic, complemented
15C2×C17×#435C211yesmaximal, characteristic
16C2×#10587612C2211yescharacteristic
17C2×#10587612C2211yescharacteristic
18C2×#10587612C2211yescharacteristic
19C22×C4⋊Dic17C2211yescharacteristic
20#11762851—24no—
21#11762847—24no—
22C2×#10587489C2211yescharacteristic
23C2×#10587489C2211yescharacteristic
24C2×#10587489C2211yescharacteristic
25C2×#10587489C2211yescharacteristic
26C2×#10587488C2211yescharacteristic
27C2×#10587488C2211yescharacteristic
28C2×#10587488C2211yescharacteristic
29C2×#10587488C2211yescharacteristic
30C2×#10587488C2211yescharacteristic
31C2×#10587488C2211yescharacteristic
32#11762712—21no—
33#11762702—21no—
34#11762702—21no—
35#11762702—21no—
36#11762695—21no—
37#11762689—21no—
38#11762679C2211yescharacteristic
39#11762675C2211yescharacteristic
40#11762669C2211yescharacteristic
41#11762669C2211yescharacteristic
42#11762669C2211yescharacteristic
43#11762669C2211yescharacteristic
44C4⋊C4×Dic17—21no—
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—
66C2×M16×C17—22no—
67C2×M16×C17—22no—
68C2×M16×C17C2×C414yes—
69C22×C8×C17—22no—
70C22×C8×C17—22no—
71C22×C8×C17C2×C414yescomplemented
72C22×C8×C17C2311yescharacteristic
73C22×C8×C17C2311yescharacteristic
74C22×C8×C17C2311yescharacteristic
75C22×C8×C17C2311yescharacteristic
76C4×D4×C17C2×C414yes—
77C4×D4×C17Q814yes—
78C2×C4⋊C4×C17D411yescharacteristic
79C2×C22⋊C4×C17D411yescharacteristic
80C2×C22⋊C4×C17D411yescharacteristic
81C2×C42×C17C2311yescharacteristic
82C2×C22⋊Dic17—21no—
83C2×C22⋊Dic17—21no—
84C2×C22⋊Dic17—21no—
85C2×C22⋊Dic17—21no—
86C2×C22⋊Dic17—21no—
87C2×C22⋊Dic17—21no—
88C2×C22⋊Dic17—21no—
89#10587612—22no—
90#10587612—22no—
91#10587612—22no—
92#10587612—41no—
93#10587612—41no—
94#10587612—41no—
95C2×C4⋊Dic17—21no—
96C2×C4⋊Dic17—21no—
97C2×C4⋊Dic17—21no—
98C2×C4⋊Dic17—22no—
99C2×C4⋊Dic17—41no—
100C2×C4⋊Dic17C2311yescharacteristic
101C2×C4⋊Dic17C2311yescharacteristic
102C2×C4⋊Dic17C2311yescharacteristic
103C2×C4⋊Dic17C2311yescharacteristic
104C2×C4⋊Dic17C2311yescharacteristic
105C2×C4⋊Dic17C2311yescharacteristic
106C2×C4⋊Dic17C2311yescharacteristic
107C2×C4⋊Dic17C2311yescharacteristic
108C2×C4×Dic17—21no—
109C2×C4×Dic17—21no—
110C2×C4×Dic17—21no—
111C2×C4×Dic17—21no—
112C2×C4×Dic17—21no—
113C17×C4⋊C8C2×C414yescomplemented
114C17×C22⋊C8C2×C414yes—
115C17×C22⋊C8C2×C414yescomplemented
116C17×#97C2×C414yescomplemented
117#10587502—21no—
118#10587502—21no—
119#10587502—21no—
120#10587502—21no—
121#10587502—21no—
122#10587502—21no—
123#10587502—21no—
124#10587502—21no—
125#10587489—22no—
126#10587489—22no—
127#10587489—41no—
128#10587489D414yescomplemented
129#10587488—22no—
130#10587488—22no—
131#10587488—22no—
132#10587488—22no—
133#10587488—22no—
134#10587488—41no—
135C24×C17C2×D411yescharacteristic
136C24×C17C2×D411yescharacteristic
137C2×D4×C17—41no—
138C2×D4×C17—41no—
139C2×D4×C17C4⋊C414yes—
140C22×C4×C17—21no—
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×C17C22×C412yes—
149C22×C4×C17C22×C412yes—
150C22×C4×C17C2×D411yescharacteristic
151C22×C4×C17C2×D411yescharacteristic
152C22×C4×C17C2×D411yescharacteristic
153C22×C4×C17C2×D411yescharacteristic
154C22×C4×C17C2×Q812yes—
155C22×C4×C17C2×Q812yes—
156C22×C4×C17C2411yescharacteristic
157C22×Dic17—21no—
158C22×Dic17—21no—
159C22×Dic17—21no—
160C22×Dic17—21no—
161C22×Dic17—21no—
162C22×Dic17—21no—
163C22×Dic17—21no—
164C22×Dic17—21no—
165C22×Dic17—42no—
166C22×Dic17—42no—
167C22×Dic17—81no—
168M16×C17—28no—
169C2×C8×C17—21no—
170C2×C8×C17—21no—
171C2×C8×C17—21no—
172C2×C8×C17—21no—
173C2×C8×C17—21no—
174C2×C8×C17—21no—
175C2×C8×C17—28no—
176C2×C8×C17C22×C412yes—
177C2×C8×C17C22×C412yes—
178C2×C8×C17C22×C412yes—
179C2×C8×C17C22×C412yes—
180C2×C8×C17C2×D412yes—
181C2×C8×C17#4112yes—
182C4⋊C4×C17C4⋊C414yes—
183C22⋊C4×C17C4⋊C414yes—
184C22⋊C4×C17C4⋊C414yes—
185C42×C17C22×C412yes—
186C42×C17C2×Q812yes—
187C22⋊Dic17—42no—
188C22⋊Dic17—42no—
189C22⋊Dic17—42no—
190C22⋊Dic17—42no—
191C22⋊Dic17—81no—
192C22⋊Dic17—81no—
193C22⋊Dic17—81no—
194C4⋊Dic17—21no—
195C4⋊Dic17—21no—
196C4⋊Dic17—21no—
197C4⋊Dic17—21no—
198C4⋊Dic17—21no—
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—42no—
209C4⋊Dic17—42no—
210C4⋊Dic17—81no—
211C4⋊Dic17C2×D412yes—
212C4⋊Dic17C2×D412yes—
213C4×Dic17—42no—
214C4×Dic17—42no—
215C4×Dic17—42no—
216C4×Dic17—42no—
217C4×Dic17—81no—
218#22662—171nomaximal, Sylow
219C23×C17—21no—
220C23×C17—21no—
221C23×C17—21no—
222C23×C17—21no—
223C23×C17—21no—
224C23×C17—21no—
225C23×C17—21no—
226C23×C17—21no—
227C23×C17—21no—
228C23×C17—21no—
229C23×C17—21no—
230C23×C17—21no—
231C23×C17C2×C4⋊C412yes—
232C23×C17C2×C4⋊C412yes—
233C23×C17C22×D411yescharacteristic
234D4×C17—44no—
235C2×C4×C17—21no—
236C2×C4×C17—21no—
237C2×C4×C17—21no—
238C2×C4×C17—21no—
239C2×C4×C17—21no—
240C2×C4×C17—21no—
241C2×C4×C17—21no—
242C2×C4×C17—21no—
243C2×C4×C17—22no—
244C2×C4×C17—22no—
245C2×C4×C17—22no—
246C2×C4×C17—22no—
247C2×C4×C17—22no—
248C2×C4×C17—22no—
249C2×C4×C17—22no—
250C2×C4×C17—22no—
251C2×C4×C17C2×C4⋊C412yes—
252C2×C4×C17C2×C4⋊C412yes—
253C2×C4×C17C2×C4⋊C412yes—
254C2×C4×C17C2×C4⋊C412yes—
255C2×C4×C17C23×C411yescharacteristic
256C2×C4×C17C22×D411yescharacteristic
257C2×C4×C17C22×Q811yescharacteristic
258C2×C4×C17C2×#4111yescharacteristic
259C2×C4×C17H(5,𝔽2)11yescharacteristic
260C2×C4×C172−1+411yescharacteristic
261C2×Dic17—22no—
262C2×Dic17—22no—
263C2×Dic17—41no—
264C2×Dic17—41no—
265C2×Dic17—41no—
266C2×Dic17—41no—
267C2×Dic17—41no—
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—84no—
286C8×C17—22no—
287C8×C17—22no—
288C8×C17—22no—
289C8×C17C4×D414yes—
290C2×#435D1711yescharacteristic
291C2×#428—171no—
292C2×#427—171no—
293#2354—171no—
294#2352—171no—
295#1949—171no—
296#1948—171no—
297#1854—171no—
298#1854—171no—
299#1854—171no—
300#1853—171no—
301#1847—171no—
302#1809—171no—
303#1807—171no—
304#1776—171no—
305C22×C17—22no—
306C22×C17—22no—
307C22×C17—22no—
308C22×C17—22no—
309C22×C17—22no—
310C22×C17—22no—
311C22×C17—41no—
312C22×C17—41no—
313C22×C17—41no—
314C22×C17—41no—
315C22×C17—41no—
316C22×C17—41no—
317C22×C17—41no—
318C22×C17—41no—
319C22×C17C22×C4⋊C411yescharacteristic
320C22×C17D4211yescharacteristic
321C22×C17#54711yescharacteristic
322C22×C17#57511yescharacteristic
323C22×C17#57511yescharacteristic
324C22×C17#57711yescharacteristic
325C22×C17#57711yescharacteristic
326C4×C17—22no—
327C4×C17—22no—
328C4×C17—22no—
329C4×C17—22no—
330C4×C17C2×C4×D411yescharacteristic
331C4×C17#52011yescharacteristic
332C4×C17D4×Q811yescharacteristic
333C4×C17#55411yescharacteristic
334Dic17—42no—
335Dic17—42no—
336Dic17—81no—
337Dic17—81no—
338Dic17—81no—
339Dic17—81no—
340Dic17—81no—
341Dic17—81no—
342C22×M16C2×D1711yescharacteristic
343C23×C8C2×D1711yescharacteristic
344C2×C4×D4C2×D1711yescharacteristic
345C2×#117—171no—
346C2×#117—171no—
347C2×#117—171no—
348C22×C4⋊C4—171no—
349#435Dic1718yescomplemented
350#428—344no—
351#427—344no—
352C2×#107—171no—
353C2×#107—171no—
354C2×#107—171no—
355C2×#107—171no—
356C2×#106—171no—
357C2×#106—171no—
358C2×#106—171no—
359C2×#106—171no—
360C2×#106—171no—
361C2×#106—171no—
362C2×C4⋊C8C2×D1711yescharacteristic
363C2×C22⋊C8C2×D1711yescharacteristic
364C2×C22⋊C8C2×D1711yescharacteristic
365C2×#97C2×D1711yescharacteristic
366#390—341no—
367#388—341no—
368#388—341no—
369#388—341no—
370#387—341no—
371#386—341no—
372#384—171no—
373#382—171no—
374#380—171no—
375#380—171no—
376#380—171no—
377#380—171no—
378C4×C4⋊C4—171no—
379C4×C4⋊C4—171no—
380C4×C4⋊C4—341no—
381C4×C22⋊C4—341no—
382#340—171no—
383#340—171no—
384#340—171no—
385#340—171no—
386#340—171no—
387#340—171no—
388C2×C17—42no—
389C2×C17—42no—
390C2×C17D4×C4⋊C411yescharacteristic
391C2×C17#291111yescharacteristic
392C2×C17#291211yescharacteristic
393C2×C17#326711yescharacteristic
394C2×C17#327111yescharacteristic
395C2×C17#334811yescharacteristic
396C2×C17#335011yescharacteristic
397C22×D4D6811yescharacteristic
398C23×C4—341no—
399C23×C4C22×D1711yescharacteristic
400C23×C4C22×D1711yescharacteristic
401C2×M16—22no—
402C2×M16—22no—
403C2×M16C2×Dic1714yes—
404C22×C8—22no—
405C22×C8—22no—
406C22×C8C2×Dic1714yescomplemented
407C22×C8C22×D1711yescharacteristic
408C22×C8C22×D1711yescharacteristic
409C22×C8C22×D1711yescharacteristic
410C22×C8C22×D1711yescharacteristic
411C4×D4Dic3414yes—
412C4×D4C2×Dic1714yes—
413#117—342no—
414#117—342no—
415#117—342no—
416#117—681no—
417#117—681no—
418#117—681no—
419C2×C4⋊C4—171no—
420C2×C4⋊C4—171no—
421C2×C4⋊C4—171no—
422C2×C4⋊C4—171no—
423C2×C4⋊C4—171no—
424C2×C4⋊C4—171no—
425C2×C4⋊C4—171no—
426C2×C4⋊C4—171no—
427C2×C4⋊C4—342no—
428C2×C4⋊C4—341no—
429C2×C4⋊C4—341no—
430C2×C4⋊C4—341no—
431C2×C4⋊C4—681no—
432C2×C4⋊C4D6811yescharacteristic
433C2×C22⋊C4—341no—
434C2×C22⋊C4—341no—
435C2×C22⋊C4—341no—
436C2×C22⋊C4—341no—
437C2×C22⋊C4—341no—
438C2×C22⋊C4—341no—
439C2×C22⋊C4—341no—
440C2×C22⋊C4D6811yescharacteristic
441C2×C22⋊C4D6811yescharacteristic
442C2×C42—341no—
443C2×C42—341no—
444C2×C42—341no—
445C2×C42—341no—
446C2×C42—341no—
447C2×C42C22×D1711yescharacteristic
448#107—174no—
449#107—342no—
450#107—342no—
451#107—681no—
452#106—342no—
453#106—342no—
454#106—342no—
455#106—342no—
456#106—342no—
457#106—681no—
458C4⋊C8C2×Dic1714yescomplemented
459C22⋊C8C2×Dic1714yes—
460C22⋊C8C2×Dic1714yescomplemented
461#97C2×Dic1714yescomplemented
462#95—341no—
463#95—341no—
464#95—341no—
465#95—341no—
466#95—341no—
467#95—341no—
468#95—341no—
469#95—341no—
470C17#2266211yescharacteristic, complemented, Sylow
471C24C2×D6811yescharacteristic
472C24C2×D6811yescharacteristic
473C2×D4—41no—
474C2×D4—41no—
475C2×D4C4⋊Dic1714yes—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4—341no—
485C22×C4—341no—
486C22×C4—341no—
487C22×C4—341no—
488C22×C4—341no—
489C22×C4—341no—
490C22×C4—341no—
491C22×C4—341no—
492C22×C4—682no—
493C22×C4—682no—
494C22×C4—1361no—
495C22×C4C2×Dic3412yes—
496C22×C4C2×Dic3412yes—
497C22×C4C2×D6811yescharacteristic
498C22×C4C2×D6811yescharacteristic
499C22×C4C2×D6811yescharacteristic
500C22×C4C2×D6811yescharacteristic
501C22×C4C22×Dic1712yes—
502C22×C4C22×Dic1712yes—
503C22×C4C23×D1711yescharacteristic
504M16—28no—
505C2×C8—21no—
506C2×C8—21no—
507C2×C8—21no—
508C2×C8—21no—
509C2×C8—21no—
510C2×C8—21no—
511C2×C8—28no—
512C2×C8D4×D1712yes—
513C2×C8#6325412yes—
514C2×C8C22×Dic1712yes—
515C2×C8C22×Dic1712yes—
516C2×C8C22×Dic1712yes—
517C2×C8C22×Dic1712yes—
518C4⋊C4—172no—
519C4⋊C4—172no—
520C4⋊C4—341no—
521C4⋊C4—341no—
522C4⋊C4—341no—
523C4⋊C4—341no—
524C4⋊C4—341no—
525C4⋊C4—341no—
526C4⋊C4—341no—
527C4⋊C4—341no—
528C4⋊C4—341no—
529C4⋊C4—341no—
530C4⋊C4—341no—
531C4⋊C4—341no—
532C4⋊C4—341no—
533C4⋊C4—341no—
534C4⋊C4—682no—
535C4⋊C4—682no—
536C4⋊C4—1361no—
537C4⋊C4C4⋊Dic1714yes—
538C22⋊C4—682no—
539C22⋊C4—682no—
540C22⋊C4—682no—
541C22⋊C4—682no—
542C22⋊C4—1361no—
543C22⋊C4—1361no—
544C22⋊C4—1361no—
545C22⋊C4C4⋊Dic1714yes—
546C22⋊C4C4⋊Dic1714yes—
547C42—682no—
548C42—682no—
549C42—682no—
550C42—682no—
551C42—1361no—
552C42C2×Dic3412yes—
553C42C22×Dic1712yes—
554C23—21no—
555C23—21no—
556C23—21no—
557C23—21no—
558C23—21no—
559C23—21no—
560C23—21no—
561C23—21no—
562C23—21no—
563C23—21no—
564C23—21no—
565C23—21no—
566C23C2×C4⋊Dic1712yes—
567C23C2×C4⋊Dic1712yes—
568C23C22×D6811yescharacteristic
569D4—44no—
570C2×C4—21no—
571C2×C4—21no—
572C2×C4—21no—
573C2×C4—21no—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—22no—
579C2×C4—22no—
580C2×C4—22no—
581C2×C4—22no—
582C2×C4—22no—
583C2×C4—22no—
584C2×C4—22no—
585C2×C4—22no—
586C2×C4—342no—
587C2×C4—342no—
588C2×C4—681no—
589C2×C4—681no—
590C2×C4—681no—
591C2×C4—681no—
592C2×C4—681no—
593C2×C4—681no—
594C2×C4—681no—
595C2×C4—681no—
596C2×C4—681no—
597C2×C4—681no—
598C2×C4—681no—
599C2×C4—681no—
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—1364no—
611C2×C4C2×C4⋊Dic1712yes—
612C2×C4C2×C4⋊Dic1712yes—
613C2×C4C2×C4⋊Dic1712yes—
614C2×C4C2×C4⋊Dic1712yes—
615C2×C4C22×Dic3411yescharacteristic
616C2×C4C2×D4×D1711yescharacteristic
617C2×C4C2×#6325411yescharacteristic
618C2×C4#1058769611yescharacteristic
619C2×C4#1058769711yescharacteristic
620C2×C4C23×Dic1711yescharacteristic
621C8—22no—
622C8—22no—
623C8—22no—
624C8D4×Dic1714yes—
625C22—22no—
626C22—22no—
627C22—22no—
628C22—22no—
629C22—22no—
630C22—22no—
631C22—41no—
632C22—41no—
633C22—41no—
634C22—41no—
635C22—41no—
636C22—41no—
637C22—41no—
638C22—41no—
639C22C22×C4⋊Dic1711yescharacteristic
640C22D4×D6811yescharacteristic
641C22#1176346311yescharacteristic
642C22#1176360911yescharacteristic
643C22#1176360911yescharacteristic
644C22#1176362111yescharacteristic
645C22#1176362111yescharacteristic
646C4—22no—
647C4—22no—
648C4—22no—
649C4—22no—
650C4—682no—
651C4—682no—
652C4—1361no—
653C4—1361no—
654C4—1361no—
655C4—1361no—
656C4—1361no—
657C4—1361no—
658C4C2×D4×Dic1711yescharacteristic
659C4#1176329211yescharacteristic
660C4D4×Dic3411yescharacteristic
661C4#1176351611yescharacteristic
662C2—42no—
663C2—42no—
664C2D4×C4⋊Dic1711yescharacteristic
665C2#1453737411yescharacteristic
666C2#1453737911yescharacteristic
667C2#1454031411yescharacteristic
668C2#1454037411yescharacteristic
669C2#1454130111yescharacteristic
670C2#1454133111yescharacteristic
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#22662
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. C2×#11762847C2semidirect
5. #14529554C2semidirect
6. #14529548C2semidirect
7. #14528985C2semidirect
8. #14528985C2semidirect
9. #14528985C2semidirect
10. #14528979C2semidirect
11. #14528952C2semidirect
12. #14528817C2semidirect
13. #14528809C2semidirect
14. #14528681C2semidirect
57. C17×#435C4semidirect
71. C22×C8×C17C2×C4semidirect
113. C17×C4⋊C8C2×C4semidirect
115. C17×C22⋊C8C2×C4semidirect
116. C17×#97C2×C4semidirect
128. #10587489D4semidirect
349. #435Dic17semidirect
406. C22×C8C2×Dic17semidirect
458. C4⋊C8C2×Dic17semidirect
460. C22⋊C8C2×Dic17semidirect
461. #97C2×Dic17semidirect
470. C17#22662semidirect

Maximal subgroups

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

subgroupindex
C2×#117628512
C2×#117628472
#145317332
#145317132
#145295542
#145295482
#145289852
#145289792
#145289522
#145288172
#145288092
#145286812
C2×C17×#4352
#2266217