Finite Group Databasebeta

← #17052534

Subgroups — #17052534

Order 4352.

1022 conjugacy classes of subgroups.

The subgroup lattice has 684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11762885C211yesmaximal, characteristic
2C2×#11762850C211yesmaximal, characteristic, complemented
3#14531734C211yesmaximal, characteristic
4C4⋊C4×C22⋊D17C211yesmaximal, characteristic
5#14529544C211yesmaximal, characteristic, complemented
6#14529539C211yesmaximal, characteristic, complemented
7#14528983C211yesmaximal, characteristic, complemented
8#14528980C211yesmaximal, characteristic, complemented
9#14528977C211yesmaximal, characteristic, complemented
10#14528975C211yesmaximal, characteristic, complemented
11#14528939C211yesmaximal, characteristic, complemented
12#14528817C211yesmaximal, characteristic, complemented
13#14528814C211yesmaximal, characteristic, complemented
14#107×Dic17C211yesmaximal, characteristic, complemented
15C2×C17×#428C211yesmaximal, characteristic, complemented
16C22×#63218C2211yescharacteristic
17C2×C4×C22⋊D17—21no—
18C2×C4×C22⋊D17C2211yescharacteristic
19C2×#10587578C2211yescharacteristic
20C2×C4⋊C4×D17C2211yescharacteristic
21#11762885C418yescomplemented
22#11762850—24no—
23C2×#10587489C2211yescharacteristic
24C2×#10587478C2211yescharacteristic
25C2×#10587488C2211yescharacteristic
26C2×#10587479C2211yescharacteristic
27C2×#10587479C2211yescharacteristic
28C2×#10587479C2211yescharacteristic
29C2×#10587485C2211yescharacteristic
30C2×C22⋊#3622C2211yescharacteristic
31C2×#10587491C2211yescharacteristic
32C2×C8×Dic17C2211yescharacteristic
33#11762709—21no—
34#11762704—21no—
35#11762700—21no—
36#11762697—21no—
37#11762682—21no—
38#11762680—21no—
39#11762678C2211yescharacteristic
40#11762678C2211yescharacteristic
41#11762669C2211yescharacteristic
42#11762669C2211yescharacteristic
43#11762666C2211yescharacteristic
44#11762666C2211yescharacteristic
45C4⋊C4×Dic17C2211yescharacteristic
46C4⋊C4×Dic17C2211yescharacteristic
47C4×#63225—21no—
48#11762572C2211yescharacteristic
49#11762572C2211yescharacteristic
50#11762571C2211yescharacteristic
51#11762571C2211yescharacteristic
52#11762571C2211yescharacteristic
53#11762571C2211yescharacteristic
54C22×M16×C17C2211yescharacteristic
55C2×C17×#117C2211yescharacteristic
56C22×C4⋊C4×C17C2211yescharacteristic
57C17×#428—24no—
58C2×C17×#107C2211yescharacteristic
59C2×C17×#107C2211yescharacteristic
60C2×C17×#106C2211yescharacteristic
61C2×C17×#106C2211yescharacteristic
62C23×C4×C17—21no—
63C23×C4×C17C2311yescharacteristic
64C22×C22⋊D17D411yescharacteristic
65C22×C4×D17—21no—
66C22×C4×D17C2311yescharacteristic
67C2×M16×C17—22no—
68C2×M16×C17—22no—
69C2×M16×C17C2×C414yescomplemented
70C22×C8×C17C2311yescharacteristic
71C22×C8×C17C2311yescharacteristic
72C17×#117—22no—
73C17×#117—41no—
74C2×C4⋊C4×C17—22no—
75C2×C4⋊C4×C17—21no—
76C2×C4⋊C4×C17—41no—
77C2×C4⋊C4×C17C2311yescharacteristic
78C2×C4⋊C4×C17C2311yescharacteristic
79C2×C4⋊C4×C17C2311yescharacteristic
80C2×C4⋊C4×C17C2311yescharacteristic
81C2×C22⋊C4×C17—21no—
82C2×C42×C17—21no—
83C2×C22⋊Dic17—21no—
84C2×C22⋊Dic17—21no—
85C2×C22⋊Dic17D411yescharacteristic
86C4×C22⋊D17—44no—
87C4×C22⋊D17C2×C414yes—
88C4×C22⋊D17Q814yes—
89C2×#63227—21no—
90C2×#63227—21no—
91C2×#63227—21no—
92C2×#63227D411yescharacteristic
93C2×C4⋊Dic17C2311yescharacteristic
94C2×C4⋊Dic17C2311yescharacteristic
95C2×C4⋊Dic17C2311yescharacteristic
96C2×C4⋊Dic17C2311yescharacteristic
97C2×#63225—21no—
98C2×#63225—21no—
99C2×#63225—21no—
100C2×#63225—21no—
101C2×#63225—21no—
102C2×#63225D411yescharacteristic
103C2×C4×Dic17—21no—
104C2×C4×Dic17—21no—
105C2×C4×Dic17—21no—
106C2×C4×Dic17C2311yescharacteristic
107C22×#3622C2311yescharacteristic
108C22×#3622C2311yescharacteristic
109C2×#63218—22no—
110C2×#63218—22no—
111C2×#63218C2×C414yescomplemented
112#10587578—22no—
113#10587578—41no—
114C4⋊C4×D17—22no—
115C4⋊C4×D17—41no—
116C17×#107—22no—
117C17×#107D414yescomplemented
118C17×#106—22no—
119C17×#106—22no—
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#10587489—22no—
129#10587488—22no—
130#10587485C2×C414yescomplemented
131C8×Dic17C2×C414yescomplemented
132#10587479—22no—
133#10587479—41no—
134#10587479—41no—
135#10587478—22no—
136C24×C17C2×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—42no—
148C22×C4×C17—81no—
149C22×C4×C17C22×C412yes—
150C22×C4×C17C2×D411yescharacteristic
151C22×C4×C17C2×Q812yes—
152C22×C4×C17C2411yescharacteristic
153C2×C22⋊D17—22no—
154C2×C22⋊D17—22no—
155C2×C22⋊D17C4⋊C414yes—
156C22×Dic17—21no—
157C22×Dic17—21no—
158C22×Dic17—21no—
159C22×Dic17—21no—
160C22×Dic17C2×D411yescharacteristic
161C22×Dic17C2×D411yescharacteristic
162C22×Dic17C2×D411yescharacteristic
163C2×C4×D17—21no—
164C2×C4×D17—21no—
165C2×C4×D17—21no—
166C2×C4×D17—21no—
167C2×C4×D17—42no—
168C2×C4×D17—42no—
169C2×C4×D17—81no—
170C2×C4×D17C22×C412yes—
171C2×C4×D17C2×Q812yes—
172M16×C17—28no—
173C2×C8×C17—21no—
174C2×C8×C17—21no—
175C2×C8×C17C22×C412yes—
176C2×C8×C17C22×C412yes—
177C2×C8×C17C2×D412yes—
178C2×C8×C17#4112yes—
179C4⋊C4×C17—21no—
180C4⋊C4×C17—21no—
181C4⋊C4×C17—21no—
182C4⋊C4×C17—21no—
183C4⋊C4×C17—21no—
184C4⋊C4×C17—21no—
185C4⋊C4×C17—42no—
186C4⋊C4×C17C2×D412yes—
187C4⋊C4×C17C2×D412yes—
188C22⋊C4×C17—42no—
189C42×C17—42no—
190C22⋊Dic17—42no—
191C22⋊Dic17—81no—
192C22⋊Dic17C4⋊C414yes—
193#63227—42no—
194#63227—42no—
195#63227—81no—
196#63227C4⋊C414yes—
197C4⋊Dic17—21no—
198C4⋊Dic17—21no—
199C4⋊Dic17—21no—
200C4⋊Dic17—21no—
201C4⋊Dic17—21no—
202C4⋊Dic17—21no—
203C4⋊Dic17—21no—
204C4⋊Dic17—21no—
205#63225—42no—
206#63225—42no—
207#63225—42no—
208#63225—81no—
209#63225—81no—
210#63225C4⋊C414yes—
211C4×Dic17—42no—
212C4×Dic17—42no—
213C4×Dic17—42no—
214C4×Dic17C22×C412yes—
215C4×Dic17C2×Q812yes—
216C2×#3622—21no—
217C2×#3622—21no—
218C2×#3622—21no—
219C2×#3622—21no—
220C2×#3622C22×C412yes—
221C2×#3622C22×C412yes—
222#63218—28no—
223#22663—171nomaximal, Sylow
224C23×C17—21no—
225C23×C17—21no—
226C23×C17—21no—
227C23×C17—21no—
228C23×C17—21no—
229C23×C17—21no—
230C23×C17C2×C4⋊C412yes—
231C23×C17C22×D411yescharacteristic
232C22×D17—21no—
233C22×D17—21no—
234C22×D17—21no—
235C22×D17—21no—
236C22×D17—21no—
237C22×D17—21no—
238C22×D17C2×C4⋊C412yes—
239C2×C4×C17—21no—
240C2×C4×C17—21no—
241C2×C4×C17—22no—
242C2×C4×C17—22no—
243C2×C4×C17—22no—
244C2×C4×C17—22no—
245C2×C4×C17—22no—
246C2×C4×C17—22no—
247C2×C4×C17—41no—
248C2×C4×C17—41no—
249C2×C4×C17—41no—
250C2×C4×C17—41no—
251C2×C4×C17—41no—
252C2×C4×C17—41no—
253C2×C4×C17—41no—
254C2×C4×C17—41no—
255C2×C4×C17—41no—
256C2×C4×C17—41no—
257C2×C4×C17—84no—
258C2×C4×C17C2×C4⋊C412yes—
259C2×C4×C17C23×C411yescharacteristic
260C2×C4×C17C22×D411yescharacteristic
261C2×C4×C17C22×Q811yescharacteristic
262C2×C4×C17C2×#4111yescharacteristic
263C2×C4×C17H(5,𝔽2)11yescharacteristic
264C2×C4×C172−1+411yescharacteristic
265C22⋊D17—28no—
266C2×Dic17—21no—
267C2×Dic17—21no—
268C2×Dic17—21no—
269C2×Dic17—21no—
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×Dic17C2×C4⋊C412yes—
283C2×Dic17C2×C4⋊C412yes—
284C2×Dic17C2×C4⋊C412yes—
285C2×Dic17AGL(1,ℤ/8)12yes—
286C2×Dic17#13712yes—
287C4×D17—22no—
288C4×D17—22no—
289C4×D17—22no—
290C4×D17—22no—
291C4×D17—84no—
292C8×C17—22no—
293C8×C17C4×D414yescomplemented
294#3622—22no—
295#3622—22no—
296C2×#436—171no—
297C2×#428—171no—
298C2×#428D1711yescharacteristic, complemented
299#2354—171no—
300D4×C4⋊C4—171no—
301#1948—171no—
302#1947—171no—
303#1854—171no—
304#1854—171no—
305#1853—171no—
306#1853—171no—
307#1844—171no—
308#1809—171no—
309#1809—171no—
310C4×#107—171no—
311C22×C17—22no—
312C22×C17—22no—
313C22×C17—22no—
314C22×C17—41no—
315C22×C17—41no—
316C22×C17—41no—
317C22×C17—41no—
318C22×C17C22×C4⋊C411yescharacteristic
319C22×C17D4211yescharacteristic
320C22×C17#54711yescharacteristic
321C22×C17C2×AGL(1,ℤ/8)11yescharacteristic
322C22×C17C2×#13711yescharacteristic
323C22×C17#57711yescharacteristic
324C22×C17#57711yescharacteristic
325C2×D17—22no—
326C2×D17—22no—
327C2×D17—22no—
328C2×D17—41no—
329C2×D17—41no—
330C2×D17—41no—
331C2×D17—41no—
332C4×C17—22no—
333C4×C17—42no—
334C4×C17—42no—
335C4×C17—81no—
336C4×C17—81no—
337C4×C17C2×C4×D411yescharacteristic
338C4×C17#52011yescharacteristic
339C4×C17D4×Q811yescharacteristic
340C4×C17#55411yescharacteristic
341Dic17—22no—
342Dic17—22no—
343Dic17—81no—
344Dic17—81no—
345Dic17—81no—
346Dic17—81no—
347Dic17#42814yescomplemented
348C22×M16—171no—
349C22×M16C2×D1711yescharacteristic
350C2×C4×D4—171no—
351C2×C4×D4—341no—
352C2×#117—171no—
353C2×#117C2×D1711yescharacteristic
354C22×C4⋊C4—171no—
355C22×C4⋊C4C2×D1711yescharacteristic
356#436—178no—
357#428—24no—
358#428—344no—
359C2×#107—171no—
360C2×#107—171no—
361C2×#107C2×D1711yescharacteristic
362C2×#107C2×D1711yescharacteristic
363C2×#106—171no—
364C2×#106—171no—
365C2×#106—171no—
366C2×#106—171no—
367C2×#106C2×D1711yescharacteristic
368C2×#106C2×D1711yescharacteristic
369C2×C4⋊C8—171no—
370C2×C22⋊C8—171no—
371C2×C22⋊C8—171no—
372C2×C4×C8—171no—
373#390—341no—
374#389—341no—
375#388—341no—
376#388—341no—
377#385—341no—
378#385—341no—
379#384—171no—
380#384—171no—
381#380—171no—
382#380—171no—
383#380—171no—
384#380—171no—
385C4×C4⋊C4—171no—
386C4×C4⋊C4—171no—
387C4×C4⋊C4—341no—
388#340—171no—
389#340—171no—
390#340—171no—
391#340—171no—
392#340—171no—
393#340—171no—
394C2×C17—42no—
395C2×C17D4×C4⋊C411yescharacteristic
396C2×C17C2×#42811yescharacteristic
397C2×C17#291211yescharacteristic
398C2×C17#327211yescharacteristic
399C2×C17#327811yescharacteristic
400C2×C17#335411yescharacteristic
401C2×C17#335611yescharacteristic
402D17—42no—
403C22×D4—171no—
404C23×C4—21no—
405C23×C4—171no—
406C23×C4—341no—
407C23×C4C22×D1711yescharacteristic
408C2×M16—22no—
409C2×M16—22no—
410C2×M16—174no—
411C2×M16—342no—
412C2×M16—342no—
413C2×M16C4×D1714yescomplemented
414C22×C8—171no—
415C22×C8—171no—
416C22×C8C22×D1711yescharacteristic
417C22×C8C22×D1711yescharacteristic
418C4×D4—174no—
419C4×D4—174no—
420C4×D4—684no—
421#117—22no—
422#117—41no—
423#117—342no—
424#117—681no—
425C2×C4⋊C4—22no—
426C2×C4⋊C4—21no—
427C2×C4⋊C4—41no—
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—341no—
435C2×C4⋊C4—341no—
436C2×C4⋊C4—341no—
437C2×C4⋊C4—341no—
438C2×C4⋊C4—341no—
439C2×C4⋊C4—681no—
440C2×C4⋊C4C22×D1711yescharacteristic
441C2×C4⋊C4C22×D1711yescharacteristic
442C2×C4⋊C4C22×D1711yescharacteristic
443C2×C4⋊C4C22×D1711yescharacteristic
444C2×C22⋊C4—21no—
445C2×C22⋊C4—171no—
446C2×C22⋊C4—171no—
447C2×C22⋊C4—341no—
448C2×C22⋊C4—341no—
449C2×C22⋊C4—341no—
450C2×C22⋊C4—341no—
451C2×C22⋊C4—341no—
452C2×C42—21no—
453C2×C42—171no—
454C2×C42—341no—
455C2×C42—341no—
456C2×C42—341no—
457#107—22no—
458#107—342no—
459#107—342no—
460#107C22⋊D1714yescomplemented
461#106—22no—
462#106—22no—
463#106—342no—
464#106—342no—
465#106—681no—
466#106—681no—
467C4⋊C8—174no—
468C22⋊C8—174no—
469C22⋊C8—174no—
470C4×C8—174no—
471#95—341no—
472#95—341no—
473#95—341no—
474#95—341no—
475#95—341no—
476#95—341no—
477C17#2266311yescharacteristic, complemented, Sylow
478C24—171no—
479C24D4×D1711yescharacteristic
480C2×D4—174no—
481C2×D4—342no—
482C2×D4—342no—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—42no—
492C22×C4—42no—
493C22×C4—81no—
494C22×C4—171no—
495C22×C4—171no—
496C22×C4—171no—
497C22×C4—172no—
498C22×C4—172no—
499C22×C4—341no—
500C22×C4—341no—
501C22×C4—341no—
502C22×C4—341no—
503C22×C4—341no—
504C22×C4—341no—
505C22×C4—341no—
506C22×C4—341no—
507C22×C4—682no—
508C22×C4—682no—
509C22×C4—1361no—
510C22×C4C2×C4×D1712yes—
511C22×C4D4×D1711yescharacteristic
512C22×C4Q8×D1712yes—
513C22×C4C23×D1711yescharacteristic
514M16—28no—
515M16—348no—
516C2×C8—21no—
517C2×C8—21no—
518C2×C8—172no—
519C2×C8—172no—
520C2×C8—341no—
521C2×C8—341no—
522C2×C8—341no—
523C2×C8—341no—
524C2×C8C2×C4×D1712yes—
525C2×C8C2×C4×D1712yes—
526C2×C8#6325212yes—
527C2×C8C2×C22⋊D1712yes—
528C4⋊C4—21no—
529C4⋊C4—21no—
530C4⋊C4—21no—
531C4⋊C4—21no—
532C4⋊C4—21no—
533C4⋊C4—21no—
534C4⋊C4—42no—
535C4⋊C4—174no—
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—682no—
545C4⋊C4—682no—
546C4⋊C4—682no—
547C4⋊C4—1361no—
548C4⋊C4—1361no—
549C4⋊C4C2×C22⋊D1712yes—
550C4⋊C4C2×C22⋊D1712yes—
551C22⋊C4—42no—
552C22⋊C4—174no—
553C22⋊C4—174no—
554C22⋊C4—682no—
555C22⋊C4—682no—
556C22⋊C4—682no—
557C22⋊C4—1361no—
558C22⋊C4—1361no—
559C42—42no—
560C42—172no—
561C42—172no—
562C42—682no—
563C42—682no—
564C42—682no—
565C23—21no—
566C23—21no—
567C23—21no—
568C23—21no—
569C23—21no—
570C23—21no—
571C23—172no—
572C23—341no—
573C23—341no—
574C23—341no—
575C23—341no—
576C23—341no—
577C23—341no—
578C23C4⋊C4×D1712yes—
579C23C2×D4×D1711yescharacteristic
580D4—348no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—22no—
584C2×C4—22no—
585C2×C4—22no—
586C2×C4—22no—
587C2×C4—22no—
588C2×C4—22no—
589C2×C4—41no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—41no—
599C2×C4—84no—
600C2×C4—172no—
601C2×C4—172no—
602C2×C4—172no—
603C2×C4—172no—
604C2×C4—172no—
605C2×C4—341no—
606C2×C4—341no—
607C2×C4—341no—
608C2×C4—341no—
609C2×C4—342no—
610C2×C4—342no—
611C2×C4—342no—
612C2×C4—342no—
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—681no—
623C2×C4—681no—
624C2×C4—681no—
625C2×C4—1364no—
626C2×C4C4⋊C4×D1712yes—
627C2×C4C22×C4×D1711yescharacteristic
628C2×C4C2×#6325211yescharacteristic
629C2×C4#1058769111yescharacteristic
630C2×C4C2×Q8×D1711yescharacteristic
631C2×C4#1058769411yescharacteristic
632C2×C4C22×C22⋊D1711yescharacteristic
633C8—22no—
634C8—342no—
635C8—342no—
636C8C4×C22⋊D1714yescomplemented
637C22—22no—
638C22—22no—
639C22—22no—
640C22—41no—
641C22—41no—
642C22—41no—
643C22—41no—
644C22—342no—
645C22—342no—
646C22—342no—
647C22—681no—
648C22—681no—
649C22—681no—
650C22—681no—
651C22C2×C4⋊C4×D1711yescharacteristic
652C22D4×C22⋊D1711yescharacteristic
653C22#1176346011yescharacteristic
654C22AGL(1,ℤ/8)×D1711yescharacteristic
655C22#137×D1711yescharacteristic
656C22#1176361811yescharacteristic
657C22#1176361911yescharacteristic
658C4—22no—
659C4—42no—
660C4—42no—
661C4—81no—
662C4—81no—
663C4—174no—
664C4—342no—
665C4—342no—
666C4—1361no—
667C4—1361no—
668C4—1361no—
669C4—1361no—
670C4C2×C4×C22⋊D1711yescharacteristic
671C4#1176329011yescharacteristic
672C4Q8×C22⋊D1711yescharacteristic
673C4#1176351411yescharacteristic
674C2—42no—
675C2—682no—
676C2C4⋊C4×C22⋊D1711yescharacteristic
677C2D17×#42811yescharacteristic
678C2#1453737811yescharacteristic
679C2#1454037811yescharacteristic
680C2#1454044411yescharacteristic
681C2#1454137511yescharacteristic
682C2#1454139511yescharacteristic
subgroupG/H
centerC23C2×D4×D17
commutatorC2×C4×C17C23×C4
FrattiniC22×C4C23×D17
FittingC2×C17×#428C2
socleC23×C17C22×D4
prime radicalC22×C22⋊D17D4
cosocleC22×C4×C17C24
hypercenterC2×#428D17
hypocenterC17#22663
LCSG ▷ C2×C4×C17 ▷ C2×C17 ▷ C17
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#428

Complements

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

NH ≅ G/Ntype
2. C2×#11762850C2semidirect
5. #14529544C2semidirect
6. #14529539C2semidirect
7. #14528983C2semidirect
8. #14528980C2semidirect
9. #14528977C2semidirect
10. #14528975C2semidirect
11. #14528939C2semidirect
12. #14528817C2semidirect
13. #14528814C2semidirect
14. #107×Dic17C2semidirect
15. C2×C17×#428C2semidirect
21. #11762885C4semidirect
69. C2×M16×C17C2×C4semidirect
111. C2×#63218C2×C4semidirect
117. C17×#107D4semidirect
126. C22⋊#3622C2×C4semidirect
127. #10587491C2×C4semidirect
130. #10587485C2×C4semidirect
131. C8×Dic17C2×C4semidirect
293. C8×C17C4×D4semidirect
298. C2×#428D17semidirect
347. Dic17#428semidirect
413. C2×M16C4×D17semidirect
460. #107C22⋊D17semidirect
477. C17#22663semidirect
636. C8C4×C22⋊D17semidirect

Maximal subgroups

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

subgroupindex
C2×#117628852
C2×#117628502
#145317342
C4⋊C4×C22⋊D172
#145295442
#145295392
#145289832
#145289802
#145289772
#145289752
#145289392
#145288172
#145288142
#107×Dic172
C2×C17×#4282
#2266317