Finite Group Databasebeta

← #17044634

Subgroups — #17044634

Order 4352.

1010 conjugacy classes of subgroups.

The subgroup lattice has 742 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11762774C211yesmaximal, characteristic
2#14531377C211yesmaximal, characteristic
3#14531373C211yesmaximal, characteristic
4#14528986C211yesmaximal, characteristic, complemented
5#14528985C211yesmaximal, characteristic, complemented
6#14528984C211yesmaximal, characteristic, complemented
7#14528981C211yesmaximal, characteristic, complemented
8#14528972C211yesmaximal, characteristic, complemented
9#14528970C211yesmaximal, characteristic, complemented
10#14528970C211yesmaximal, characteristic, complemented
11#14528818C211yesmaximal, characteristic, complemented
12#14528816C211yesmaximal, characteristic, complemented
13#14528812C211yesmaximal, characteristic, complemented
14#14528810C211yesmaximal, characteristic, complemented
15C17×#1852C211yesmaximal, characteristic, complemented
16C22×#63252C2211yescharacteristic
17C22×#63218C2211yescharacteristic
18C22×C8×D17C2211yescharacteristic
19C2×#10587612C2211yescharacteristic
20C2×#10587578C2211yescharacteristic
21C2×C4⋊C4×D17C2211yescharacteristic
22C2×#10587489C2211yescharacteristic
23C2×#10587478C2211yescharacteristic
24C2×#10587478C2211yescharacteristic
25C2×#10587478C2211yescharacteristic
26C2×#10587488C2211yescharacteristic
27C2×#10587479C2211yescharacteristic
28#11762774C418yescomplemented
29C2×C22⋊#3622C2211yescharacteristic
30C2×#10587491C2211yescharacteristic
31C2×#10587491C2211yescharacteristic
32#11762714—21no—
33#11762713—21no—
34#11762710—21no—
35#11762709—21no—
36#11762688—21no—
37#11762688—21no—
38#11762687—21no—
39#11762685—21no—
40#11762669C2211yescharacteristic
41#11762666C2211yescharacteristic
42#11762666C2211yescharacteristic
43#11762666C2211yescharacteristic
44#11762666C2211yescharacteristic
45#11762666C2211yescharacteristic
46#11762666C2211yescharacteristic
47#11762572C2211yescharacteristic
48#11762572C2211yescharacteristic
49#11762571C2211yescharacteristic
50#11762571C2211yescharacteristic
51#11762571C2211yescharacteristic
52#11762571C2211yescharacteristic
53C22×C4⋊C4×C17C2211yescharacteristic
54C2×C17×#107C2211yescharacteristic
55C2×C17×#107C2211yescharacteristic
56C2×C17×C22⋊C8C2211yescharacteristic
57C17×#380C2211yescharacteristic
58C17×#340C2211yescharacteristic
59C17×#340C2211yescharacteristic
60C23×C4×C17—21no—
61C23×C4×C17C2311yescharacteristic
62C22×C22⋊D17D411yescharacteristic
63C22×C22⋊D17D411yescharacteristic
64C2×#63252—41no—
65C2×#63252—41no—
66C2×#63252—41no—
67C2×#63252—41no—
68C2×#63252C2×C414yes—
69C2×#63252Q814yes—
70C22×D68D411yescharacteristic
71C22×C4×D17—21no—
72C22×C4×D17C2311yescharacteristic
73C22×C4×D17C2311yescharacteristic
74C22×Dic34D411yescharacteristic
75C22×C8×C17C2311yescharacteristic
76C22×C8×C17C2311yescharacteristic
77C2×C4⋊C4×C17—21no—
78C2×C4⋊C4×C17—41no—
79C2×C4⋊C4×C17—41no—
80C2×C4⋊C4×C17C2311yescharacteristic
81C2×C4⋊C4×C17C2311yescharacteristic
82C2×C4⋊C4×C17C2311yescharacteristic
83C2×C4⋊C4×C17C2311yescharacteristic
84C2×C22⋊C4×C17—21no—
85C2×C22⋊Dic17—21no—
86C2×C22⋊Dic17—21no—
87C2×#63227—21no—
88C2×#63227—21no—
89C2×#63227—21no—
90C2×#63227—21no—
91C2×#63227—21no—
92C2×#63227—21no—
93C2×#63227—21no—
94#10587612—41no—
95#10587612—41no—
96C2×C4⋊Dic17C2311yescharacteristic
97C2×C4⋊Dic17C2311yescharacteristic
98C2×C4⋊Dic17C2311yescharacteristic
99C2×C4⋊Dic17C2311yescharacteristic
100C2×#63225—21no—
101C2×C4×Dic17—21no—
102C2×C4×Dic17—21no—
103C22×#3622C2311yescharacteristic
104C22×#3622C2311yescharacteristic
105C2×#63218—41no—
106C2×#63218—41no—
107C2×#63218C2×C414yescomplemented
108C2×C8×D17—41no—
109C2×C8×D17—41no—
110C2×C8×D17C2×C414yescomplemented
111#10587578—41no—
112#10587578—41no—
113C4⋊C4×D17—41no—
114C4⋊C4×D17—41no—
115C17×#107—41no—
116C17×#107—41no—
117C17×C22⋊C8C2×C414yescomplemented
118C17×#95—21no—
119#10587502—21no—
120#10587502—21no—
121#10587502—21no—
122#10587502—21no—
123#10587502—21no—
124#10587502—21no—
125#10587502—21no—
126C22⋊#3622C2×C414yescomplemented
127#10587491C2×C414yescomplemented
128#10587491C2×C414yescomplemented
129#10587489—41no—
130#10587488—41no—
131#10587479—41no—
132#10587478—41no—
133#10587478—41no—
134#10587478—41no—
135C24×C17C2×D411yescharacteristic
136C23×D17C2×D411yescharacteristic
137C23×D17C2×D411yescharacteristic
138C22×C4×C17—21no—
139C22×C4×C17—21no—
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—42no—
147C22×C4×C17—81no—
148C22×C4×C17—81no—
149C22×C4×C17C22×C412yes—
150C22×C4×C17C2×D411yescharacteristic
151C22×C4×C17C2×Q812yes—
152C22×C4×C17C2411yescharacteristic
153C2×C22⋊D17—41no—
154C2×C22⋊D17—41no—
155C2×C22⋊D17—41no—
156C2×C22⋊D17—41no—
157C2×C22⋊D17C4⋊C414yes—
158C2×C22⋊D17C4⋊C414yes—
159C22×Dic17—21no—
160C22×Dic17—21no—
161C22×Dic17—21no—
162C22×Dic17—21no—
163C22×Dic17C2×D411yescharacteristic
164C22×Dic17C2×D411yescharacteristic
165#63252—44no—
166#63252—44no—
167#63252—44no—
168#63252—44no—
169C2×D68—41no—
170C2×D68—41no—
171C2×D68C4⋊C414yes—
172C2×C4×D17—21no—
173C2×C4×D17—21no—
174C2×C4×D17—21no—
175C2×C4×D17—21no—
176C2×C4×D17—21no—
177C2×C4×D17—21no—
178C2×C4×D17—21no—
179C2×C4×D17—21no—
180C2×C4×D17—42no—
181C2×C4×D17—81no—
182C2×C4×D17—81no—
183C2×C4×D17C22×C412yes—
184C2×C4×D17C22×C412yes—
185C2×C4×D17C2×Q812yes—
186C2×C4×D17C2×Q812yes—
187C2×Dic34—41no—
188C2×Dic34—41no—
189C2×Dic34C4⋊C414yes—
190C2×C8×C17—21no—
191C2×C8×C17—21no—
192C2×C8×C17—21no—
193C2×C8×C17—21no—
194C2×C8×C17C22×C412yes—
195C2×C8×C17C22×C412yes—
196C4⋊C4×C17—21no—
197C4⋊C4×C17—21no—
198C4⋊C4×C17—21no—
199C4⋊C4×C17—21no—
200C4⋊C4×C17—21no—
201C4⋊C4×C17—21no—
202C4⋊C4×C17—21no—
203C4⋊C4×C17—21no—
204C4⋊C4×C17—42no—
205C22⋊C4×C17—81no—
206C22⋊Dic17—42no—
207C22⋊Dic17—81no—
208#63227—42no—
209#63227—81no—
210#63227—81no—
211#63227—81no—
212#63227—81no—
213#63227—81no—
214#63227—81no—
215C4⋊Dic17—21no—
216C4⋊Dic17—21no—
217C4⋊Dic17—21no—
218C4⋊Dic17—21no—
219C4⋊Dic17—21no—
220C4⋊Dic17—21no—
221C4⋊Dic17—21no—
222C4⋊Dic17—21no—
223#63225—42no—
224C4×Dic17—42no—
225C4×Dic17—42no—
226C2×#3622—21no—
227C2×#3622—21no—
228C2×#3622—21no—
229C2×#3622—21no—
230C2×#3622C22×C412yes—
231C2×#3622C22×C412yes—
232#63218—44no—
233C8×D17—44no—
234#21947—171nomaximal, Sylow
235C23×C17—21no—
236C23×C17—21no—
237C23×C17—21no—
238C23×C17—21no—
239C23×C17—21no—
240C23×C17—21no—
241C23×C17C2×C4⋊C412yes—
242C23×C17C22×D411yescharacteristic
243C22×D17—21no—
244C22×D17—21no—
245C22×D17—21no—
246C22×D17—21no—
247C22×D17—21no—
248C22×D17—21no—
249C22×D17—21no—
250C22×D17—21no—
251C22×D17—21no—
252C22×D17—21no—
253C22×D17—21no—
254C22×D17—21no—
255C22×D17C2×C4⋊C412yes—
256C22×D17C2×C4⋊C412yes—
257C2×C4×C17—21no—
258C2×C4×C17—21no—
259C2×C4×C17—22no—
260C2×C4×C17—22no—
261C2×C4×C17—22no—
262C2×C4×C17—22no—
263C2×C4×C17—41no—
264C2×C4×C17—41no—
265C2×C4×C17—41no—
266C2×C4×C17—41no—
267C2×C4×C17—41no—
268C2×C4×C17—41no—
269C2×C4×C17—41no—
270C2×C4×C17—41no—
271C2×C4×C17—41no—
272C2×C4×C17—41no—
273C2×C4×C17—41no—
274C2×C4×C17—41no—
275C2×C4×C17—84no—
276C2×C4×C17C2×C4⋊C412yes—
277C2×C4×C17C23×C411yescharacteristic
278C2×C4×C17C22×Q811yescharacteristic
279C2×C4×C17H(5,𝔽2)11yescharacteristic
280C2×C4×C17H(5,𝔽2)11yescharacteristic
281C2×C4×C17H(5,𝔽2)11yescharacteristic
282C2×C4×C17H(5,𝔽2)11yescharacteristic
283C22⋊D17—44no—
284C22⋊D17—44no—
285C2×Dic17—21no—
286C2×Dic17—21no—
287C2×Dic17—21no—
288C2×Dic17—21no—
289C2×Dic17—41no—
290C2×Dic17—41no—
291C2×Dic17—41no—
292C2×Dic17—41no—
293C2×Dic17—41no—
294C2×Dic17—41no—
295C2×Dic17—41no—
296C2×Dic17—41no—
297C2×Dic17—41no—
298C2×Dic17—41no—
299C2×Dic17—41no—
300C2×Dic17—41no—
301C2×Dic17C2×C4⋊C412yes—
302C2×Dic17C2×C4⋊C412yes—
303D68—44no—
304C4×D17—22no—
305C4×D17—22no—
306C4×D17—22no—
307C4×D17—22no—
308C4×D17—22no—
309C4×D17—22no—
310C4×D17—22no—
311C4×D17—22no—
312C4×D17—84no—
313Dic34—44no—
314C8×C17—22no—
315C8×C17—22no—
316#3622—22no—
317#3622—22no—
318C2×#408—171no—
319#2311—171no—
320#2311—171no—
321#1854—171no—
322#1854—171no—
323#1854—171no—
324#1854—171no—
325#1852—171no—
326#1852—171no—
327#1852—171no—
328#1852D1711yescharacteristic, complemented
329#1809—171no—
330#1809—171no—
331#1808—171no—
332#1808—171no—
333C22×C17—22no—
334C22×C17—22no—
335C22×C17—22no—
336C22×C17—41no—
337C22×C17—41no—
338C22×C17—41no—
339C22×C17—41no—
340C22×C17C22×C4⋊C411yescharacteristic
341C22×C17#53411yescharacteristic
342C22×C17#53411yescharacteristic
343C22×C17#57611yescharacteristic
344C22×C17#57611yescharacteristic
345C22×C17#57811yescharacteristic
346C22×C17#57811yescharacteristic
347C2×D17—22no—
348C2×D17—22no—
349C2×D17—22no—
350C2×D17—22no—
351C2×D17—22no—
352C2×D17—22no—
353C2×D17—41no—
354C2×D17—41no—
355C2×D17—41no—
356C2×D17—41no—
357C2×D17—41no—
358C2×D17—41no—
359C2×D17—41no—
360C2×D17—41no—
361C4×C17—22no—
362C4×C17—81no—
363C4×C17—81no—
364C4×C17—81no—
365C4×C17—81no—
366C4×C17#51811yescharacteristic
367C4×C17#51811yescharacteristic
368C4×C17#54311yescharacteristic
369C4×C17#54311yescharacteristic
370Dic17—22no—
371Dic17—22no—
372Dic17—81no—
373Dic17—81no—
374Dic17—81no—
375Dic17—81no—
376C22×#41—171no—
377C22×M16—171no—
378C23×C8—171no—
379C2×#117—171no—
380C2×#117—171no—
381C22×C4⋊C4—171no—
382C22×C4⋊C4C2×D1711yescharacteristic
383C2×#107—171no—
384C2×#107—171no—
385C2×#107—171no—
386C2×#107—171no—
387C2×#107C2×D1711yescharacteristic
388C2×#107C2×D1711yescharacteristic
389C2×#106—171no—
390C2×#106—171no—
391#408—178no—
392C2×C22⋊C8—171no—
393C2×C22⋊C8—171no—
394C2×C22⋊C8—171no—
395C2×C22⋊C8C2×D1711yescharacteristic
396#391—341no—
397#391—341no—
398#390—341no—
399#390—341no—
400#386—341no—
401#386—341no—
402#386—341no—
403#386—341no—
404#380—171no—
405#380—171no—
406#380—171no—
407#380—171no—
408#380—171no—
409#380—171no—
410#380—171no—
411#380C2×D1711yescharacteristic
412#340—171no—
413#340—171no—
414#340—171no—
415#340—171no—
416#340—171no—
417#340—171no—
418#340C2×D1711yescharacteristic
419#340C2×D1711yescharacteristic
420C2×C17—42no—
421C2×C17#231511yescharacteristic
422C2×C17#291311yescharacteristic
423C2×C17#291311yescharacteristic
424C2×C17#319911yescharacteristic
425C2×C17#320211yescharacteristic
426C2×C17#320311yescharacteristic
427C2×C17#320311yescharacteristic
428D17—42no—
429D17—42no—
430C2×#41—174no—
431C2×#41—174no—
432C2×#41—681no—
433C2×#41—681no—
434C2×#41—681no—
435C2×#41—681no—
436C22×Q8—171no—
437C22×D4—171no—
438C22×D4—171no—
439C22×D4—171no—
440C23×C4—21no—
441C23×C4—171no—
442C23×C4—171no—
443C23×C4—341no—
444C23×C4C22×D1711yescharacteristic
445C2×M16—174no—
446C2×M16—681no—
447C2×M16—681no—
448C22×C8—171no—
449C22×C8—171no—
450C22×C8—174no—
451C22×C8—681no—
452C22×C8—681no—
453C22×C8C22×D1711yescharacteristic
454C22×C8C22×D1711yescharacteristic
455#117—681no—
456#117—681no—
457#117—681no—
458#117—681no—
459C2×C4⋊C4—21no—
460C2×C4⋊C4—41no—
461C2×C4⋊C4—41no—
462C2×C4⋊C4—171no—
463C2×C4⋊C4—171no—
464C2×C4⋊C4—171no—
465C2×C4⋊C4—171no—
466C2×C4⋊C4—341no—
467C2×C4⋊C4—681no—
468C2×C4⋊C4—681no—
469C2×C4⋊C4C22×D1711yescharacteristic
470C2×C4⋊C4C22×D1711yescharacteristic
471C2×C4⋊C4C22×D1711yescharacteristic
472C2×C4⋊C4C22×D1711yescharacteristic
473C2×C22⋊C4—21no—
474C2×C22⋊C4—341no—
475C2×C22⋊C4—341no—
476C2×C22⋊C4—341no—
477C2×C22⋊C4—341no—
478C2×C22⋊C4—341no—
479C2×C22⋊C4—341no—
480C2×C22⋊C4—341no—
481C2×C22⋊C4—341no—
482C2×C22⋊C4—341no—
483C2×C42—341no—
484C2×C42—341no—
485#107—41no—
486#107—41no—
487#107—681no—
488#107—681no—
489#107—681no—
490#107—681no—
491#106—681no—
492#106—681no—
493C22⋊C8—174no—
494C22⋊C8—174no—
495C22⋊C8—174no—
496C22⋊C8C4×D1714yescomplemented
497#95—21no—
498#95—341no—
499#95—341no—
500#95—341no—
501#95—341no—
502#95—341no—
503#95—341no—
504#95—341no—
505C17#2194711yescharacteristic, complemented, Sylow
506C24—171no—
507C24—171no—
508C24D4×D1711yescharacteristic
509#41—684no—
510#41—684no—
511#41—684no—
512#41—684no—
513C2×Q8—174no—
514C2×Q8—681no—
515C2×Q8—681no—
516C2×D4—174no—
517C2×D4—174no—
518C2×D4—174no—
519C2×D4—681no—
520C2×D4—681no—
521C2×D4—681no—
522C2×D4—681no—
523C2×D4—681no—
524C2×D4—681no—
525C22×C4—21no—
526C22×C4—21no—
527C22×C4—21no—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—21no—
531C22×C4—21no—
532C22×C4—21no—
533C22×C4—42no—
534C22×C4—81no—
535C22×C4—81no—
536C22×C4—171no—
537C22×C4—171no—
538C22×C4—172no—
539C22×C4—172no—
540C22×C4—172no—
541C22×C4—172no—
542C22×C4—341no—
543C22×C4—341no—
544C22×C4—341no—
545C22×C4—341no—
546C22×C4—341no—
547C22×C4—341no—
548C22×C4—341no—
549C22×C4—341no—
550C22×C4—341no—
551C22×C4—341no—
552C22×C4—341no—
553C22×C4—341no—
554C22×C4—682no—
555C22×C4—1361no—
556C22×C4—1361no—
557C22×C4C2×C4×D1712yes—
558C22×C4D4×D1711yescharacteristic
559C22×C4Q8×D1712yes—
560C22×C4C23×D1711yescharacteristic
561M16—684no—
562C2×C8—21no—
563C2×C8—21no—
564C2×C8—21no—
565C2×C8—21no—
566C2×C8—172no—
567C2×C8—172no—
568C2×C8—341no—
569C2×C8—341no—
570C2×C8—341no—
571C2×C8—341no—
572C2×C8—684no—
573C2×C8C2×C4×D1712yes—
574C2×C8C2×C4×D1712yes—
575C4⋊C4—21no—
576C4⋊C4—21no—
577C4⋊C4—21no—
578C4⋊C4—21no—
579C4⋊C4—21no—
580C4⋊C4—21no—
581C4⋊C4—21no—
582C4⋊C4—21no—
583C4⋊C4—42no—
584C4⋊C4—341no—
585C4⋊C4—341no—
586C4⋊C4—341no—
587C4⋊C4—341no—
588C4⋊C4—341no—
589C4⋊C4—341no—
590C4⋊C4—341no—
591C4⋊C4—341no—
592C4⋊C4—682no—
593C22⋊C4—81no—
594C22⋊C4—682no—
595C22⋊C4—682no—
596C22⋊C4—1361no—
597C22⋊C4—1361no—
598C22⋊C4—1361no—
599C22⋊C4—1361no—
600C22⋊C4—1361no—
601C22⋊C4—1361no—
602C22⋊C4—1361no—
603C42—682no—
604C42—682no—
605C23—21no—
606C23—21no—
607C23—21no—
608C23—21no—
609C23—21no—
610C23—21no—
611C23—172no—
612C23—172no—
613C23—341no—
614C23—341no—
615C23—341no—
616C23—341no—
617C23—341no—
618C23—341no—
619C23—341no—
620C23—341no—
621C23—341no—
622C23—341no—
623C23—341no—
624C23—341no—
625C23C4⋊C4×D1712yes—
626C23C2×D4×D1711yescharacteristic
627Q8—684no—
628D4—684no—
629D4—684no—
630D4—684no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—22no—
634C2×C4—22no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—84no—
650C2×C4—172no—
651C2×C4—172no—
652C2×C4—341no—
653C2×C4—341no—
654C2×C4—341no—
655C2×C4—341no—
656C2×C4—342no—
657C2×C4—342no—
658C2×C4—342no—
659C2×C4—342no—
660C2×C4—342no—
661C2×C4—342no—
662C2×C4—342no—
663C2×C4—342no—
664C2×C4—681no—
665C2×C4—681no—
666C2×C4—681no—
667C2×C4—681no—
668C2×C4—681no—
669C2×C4—681no—
670C2×C4—681no—
671C2×C4—681no—
672C2×C4—681no—
673C2×C4—681no—
674C2×C4—681no—
675C2×C4—681no—
676C2×C4—1364no—
677C2×C4C4⋊C4×D1712yes—
678C2×C4C22×C4×D1711yescharacteristic
679C2×C4#1058769111yescharacteristic
680C2×C4#1058769111yescharacteristic
681C2×C4C2×Q8×D1711yescharacteristic
682C2×C4#1058769611yescharacteristic
683C2×C4#1058769611yescharacteristic
684C8—22no—
685C8—22no—
686C8—342no—
687C8—342no—
688C22—22no—
689C22—22no—
690C22—22no—
691C22—41no—
692C22—41no—
693C22—41no—
694C22—41no—
695C22—342no—
696C22—342no—
697C22—342no—
698C22—342no—
699C22—342no—
700C22—342no—
701C22—681no—
702C22—681no—
703C22—681no—
704C22—681no—
705C22—681no—
706C22—681no—
707C22—681no—
708C22—681no—
709C22C2×C4⋊C4×D1711yescharacteristic
710C22#1176336911yescharacteristic
711C22#1176337011yescharacteristic
712C22#1176361011yescharacteristic
713C22#1176361311yescharacteristic
714C22#1176362211yescharacteristic
715C22#1176362511yescharacteristic
716C4—22no—
717C4—81no—
718C4—81no—
719C4—81no—
720C4—81no—
721C4—342no—
722C4—342no—
723C4—1361no—
724C4—1361no—
725C4—1361no—
726C4—1361no—
727C4#1176328111yescharacteristic
728C4#1176328111yescharacteristic
729C4#1176343411yescharacteristic
730C4#1176343411yescharacteristic
731C2—42no—
732C2—682no—
733C2—682no—
734C2#1453139511yescharacteristic
735C2#1453738011yescharacteristic
736C2#1453738311yescharacteristic
737C2#1453964711yescharacteristic
738C2#1453967711yescharacteristic
739C2#1453968411yescharacteristic
740C2#1453968811yescharacteristic
subgroupG/H
centerC23C2×D4×D17
commutatorC2×C4×C17C23×C4
FrattiniC22×C4C23×D17
FittingC17×#1852C2
socleC23×C17C22×D4
prime radicalC22×#63252C22
cosocleC22×C4×C17C24
hypercenter#1852D17
hypocenterC17#21947
LCSG ▷ C2×C4×C17 ▷ C2×C17 ▷ C17
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1852

Complements

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

NH ≅ G/Ntype
4. #14528986C2semidirect
5. #14528985C2semidirect
6. #14528984C2semidirect
7. #14528981C2semidirect
8. #14528972C2semidirect
9. #14528970C2semidirect
10. #14528970C2semidirect
11. #14528818C2semidirect
12. #14528816C2semidirect
13. #14528812C2semidirect
14. #14528810C2semidirect
15. C17×#1852C2semidirect
28. #11762774C4semidirect
107. C2×#63218C2×C4semidirect
110. C2×C8×D17C2×C4semidirect
117. C17×C22⋊C8C2×C4semidirect
126. C22⋊#3622C2×C4semidirect
127. #10587491C2×C4semidirect
128. #10587491C2×C4semidirect
328. #1852D17semidirect
496. C22⋊C8C4×D17semidirect
505. C17#21947semidirect

Maximal subgroups

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

subgroupindex
C2×#117627742
#145313772
#145313732
#145289862
#145289852
#145289842
#145289812
#145289722
#145289702
#145288182
#145288162
#145288122
#145288102
C17×#18522
#2194717