Finite Group Databasebeta

← D17×#2283 #17192603

Subgroups — D17×#2283 #17192603

Order 4352.

3246 conjugacy classes of subgroups.

The subgroup lattice has 694 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C42×D17C211yesmaximal, characteristic
2#14531182C211yesmaximal, characteristic, complemented
3#14531181C212yesmaximal, complemented
4#14531180C212yesmaximal, complemented
5#14531179C212yesmaximal, complemented
6#14531178C212yesmaximal, complemented
7#14531177C212yesmaximal, complemented
8#14531176C212yesmaximal, complemented
9#14531175C212yesmaximal, complemented
10D17×#383C212yesmaximal, complemented
11D17×#382C212yesmaximal, complemented
12D17×#381C212yesmaximal
13D17×#380C212yesmaximal
14C4×C4⋊C4×D17C212yesmaximal, complemented
15C4×C22⋊C4×D17C212yesmaximal
16D17×#376C212yesmaximal, complemented
17C17×#2283C211yesmaximal, characteristic, complemented
18C23×C4×D17C2211yescharacteristic
19C23×C4×D17C2211yescharacteristic
20C23×C4×D17C2211yescharacteristic
21C2×C4⋊C4×D17C2214yes—
22C2×C22⋊C4×D17C2214yes—
23C22×C4×Dic17C2211yescharacteristic
24C22×C4×Dic17C2211yescharacteristic
25C22×C4×Dic17C2211yescharacteristic
26C2×C42×D17C4116yescomplemented
27C2×C42×D17C2214yes—
28C2×C42×D17C2211yescharacteristic
29C2×C42×D17C2211yescharacteristic
30C2×C42×D17C2211yescharacteristic
31C2×C42×D17C2211yescharacteristic
32C2×C42×D17C2211yescharacteristic
33C2×C42×D17C2211yescharacteristic
34C2×C42×D17C2211yescharacteristic
35C2×C42×D17C2211yescharacteristic
36#11762677C2212yescomplemented
37#11762676C2214yescomplemented
38#11762676C2214yescomplemented
39#11762676C2214yescomplemented
40#11762675C2212yescomplemented
41#11762674C2214yescomplemented
42#11762673C2214yescomplemented
43#11762673C2214yescomplemented
44#11762672C2212yes—
45#11762671C2214yes—
46#11762671C2214yes—
47#11762670C2214yes—
48#11762669C2212yes—
49#11762668C2214yes—
50#11762667C2214yes—
51#11762666C2214yes—
52C4⋊C4×Dic17C2214yescomplemented
53C4×#63225C2214yescomplemented
54C4×C4⋊Dic17C2212yescomplemented
55#11762660C2214yescomplemented
56C22⋊C4×Dic17C2214yes—
57C4×#63227C2214yes—
58C4×C22⋊Dic17C2212yes—
59#11762656C2214yes—
60#11762655C2212yescomplemented
61#11762655C2214yescomplemented
62#11762654C2214yescomplemented
63#11762654C2214yescomplemented
64#95×D17C2214yes—
65#95×D17C2214yes—
66#95×D17C2214yes—
67#95×D17C2214yes—
68C22×C42×C17C2211yescharacteristic
69C17×#383C2212yescomplemented
70C17×#382C2212yescomplemented
71C17×#381C2212yes—
72C17×#380C2212yes—
73C4×C4⋊C4×C17C2212yescomplemented
74C4×C22⋊C4×C17C2212yes—
75C17×#376C2212yescomplemented
76C24×D17C2311yescharacteristic
77C23×C4×C17C2311yescharacteristic
78C23×C4×C17C2311yescharacteristic
79C23×C4×C17C2311yescharacteristic
80C23×Dic17C2311yescharacteristic
81C23×Dic17C2311yescharacteristic
82C23×Dic17C2311yescharacteristic
83C22×C4×D17—28no—
84C22×C4×D17—28no—
85C22×C4×D17—28no—
86C22×C4×D17C2×C418yes—
87C22×C4×D17C2×C418yes—
88C22×C4×D17C2×C418yes—
89C22×C4×D17C2318yes—
90C22×C4×D17C2311yescharacteristic
91C22×C4×D17C2311yescharacteristic
92C22×C4×D17C2311yescharacteristic
93C22×C4×D17C2311yescharacteristic
94C22×C4×D17C2311yescharacteristic
95C22×C4×D17C2311yescharacteristic
96C22×C4×D17C2311yescharacteristic
97C22×C4×D17C2311yescharacteristic
98C22×C4×D17C2311yescharacteristic
99C22×C4×D17C2311yescharacteristic
100C22×C4×D17C2311yescharacteristic
101C22×C4×D17C2311yescharacteristic
102C2×C4⋊C4×C17C2314yes—
103C2×C22⋊C4×C17C2314yes—
104C2×C42×C17C2×C418yescomplemented
105C2×C42×C17C2314yes—
106C2×C42×C17C2311yescharacteristic
107C2×C42×C17C2311yescharacteristic
108C2×C42×C17C2311yescharacteristic
109C2×C42×C17C2311yescharacteristic
110C2×C22⋊Dic17C2314yes—
111C2×#63227C2318yes—
112C2×C4⋊Dic17C2314yes—
113C2×#63225C2318yes—
114C2×C4×Dic17C2×C418yescomplemented
115C2×C4×Dic17C2×C418yescomplemented
116C2×C4×Dic17C2×C418yescomplemented
117C2×C4×Dic17C2318yes—
118C2×C4×Dic17C2314yes—
119C2×C4×Dic17C2311yescharacteristic
120C2×C4×Dic17C2311yescharacteristic
121C2×C4×Dic17C2311yescharacteristic
122C2×C4×Dic17C2311yescharacteristic
123C2×C4×Dic17C2311yescharacteristic
124C2×C4×Dic17C2311yescharacteristic
125C2×C4×Dic17C2311yescharacteristic
126C2×C4×Dic17C2311yescharacteristic
127C2×C4×Dic17C2311yescharacteristic
128C2×C4×Dic17C2311yescharacteristic
129C2×C4×Dic17C2311yescharacteristic
130C2×C4×Dic17C2311yescharacteristic
131C4⋊C4×D17—216no—
132C22⋊C4×D17—216no—
133C42×D17—216no—
134C42×D17C2×C418yes—
135C42×D17C2×C418yes—
136C42×D17C2×C418yes—
137C42×D17C2×C418yes—
138C42×D17C2×C418yescomplemented
139C42×D17C2×C418yescomplemented
140C42×D17C2×C418yescomplemented
141C42×D17C2×C418yescomplemented
142C17×#95C2314yes—
143C17×#95C2314yes—
144C17×#95C2314yes—
145C17×#95C2314yes—
146#10587502C2318yes—
147#10587502C2314yes—
148#10587502C2318yes—
149#10587502C2314yes—
150#10587502C2314yes—
151#10587502C2318yes—
152#10587502C2314yes—
153#10587502C2318yes—
154C24×C17C2411yescharacteristic
155C23×D17—24no—
156C23×D17—24no—
157C23×D17C22×C414yes—
158C23×D17#4118yes—
159C23×D17C2411yescharacteristic
160C23×D17C2411yescharacteristic
161C22×C4×C17—24no—
162C22×C4×C17—24no—
163C22×C4×C17—24no—
164C22×C4×C17C22×C414yes—
165C22×C4×C17C22×C414yes—
166C22×C4×C17C22×C414yes—
167C22×C4×C17C2418yes—
168C22×C4×C17C2411yescharacteristic
169C22×C4×C17C2411yescharacteristic
170C22×C4×C17C2411yescharacteristic
171C22×C4×C17C2411yescharacteristic
172C22×C4×C17C2411yescharacteristic
173C22×C4×C17C2411yescharacteristic
174C22×Dic17—24no—
175C22×Dic17—24no—
176C22×Dic17—24no—
177C22×Dic17C22×C414yes—
178C22×Dic17C22×C414yes—
179C22×Dic17C22×C414yes—
180C22×Dic17C2418yes—
181C22×Dic17C2411yescharacteristic
182C22×Dic17C2411yescharacteristic
183C22×Dic17C2411yescharacteristic
184C22×Dic17C2411yescharacteristic
185C22×Dic17C2411yescharacteristic
186C22×Dic17C2411yescharacteristic
187C2×C4×D17—232no—
188C2×C4×D17—24no—
189C2×C4×D17—24no—
190C2×C4×D17—24no—
191C2×C4×D17—24no—
192C2×C4×D17—24no—
193C2×C4×D17—24no—
194C2×C4×D17—24no—
195C2×C4×D17—24no—
196C2×C4×D17—24no—
197C2×C4×D17—24no—
198C2×C4×D17—232no—
199C2×C4×D17—232no—
200C2×C4×D17—216no—
201C2×C4×D17—216no—
202C2×C4×D17—216no—
203C2×C4×D17C22×C414yes—
204C2×C4×D17C22×C414yes—
205C2×C4×D17C22×C414yes—
206C2×C4×D17C22×C414yes—
207C2×C4×D17C22×C414yes—
208C2×C4×D17C22×C414yes—
209C2×C4×D17C22×C414yes—
210C2×C4×D17C22×C414yes—
211C2×C4×D17C22×C414yes—
212C2×C4×D17C22×C414yes—
213C2×C4×D17C22×C414yes—
214C2×C4×D17C22×C414yes—
215C2×C4×D17#4118yes—
216C2×C4×D17#4118yes—
217C4⋊C4×C17—28no—
218C22⋊C4×C17—28no—
219C42×C17—28no—
220C42×C17C22×C414yes—
221C42×C17C22×C414yes—
222C42×C17C22×C414yes—
223C42×C17C22×C414yes—
224C22⋊Dic17—28no—
225#63227—216no—
226C4⋊Dic17—28no—
227#63225—216no—
228C4×Dic17—28no—
229C4×Dic17—216no—
230C4×Dic17C22×C414yes—
231C4×Dic17C22×C414yes—
232C4×Dic17C22×C414yes—
233C4×Dic17C22×C414yes—
234C4×Dic17C22×C414yes—
235C4×Dic17C22×C414yes—
236C4×Dic17C22×C414yes—
237C4×Dic17C22×C414yes—
238C4×Dic17C22×C414yes—
239C4×Dic17C22×C414yes—
240C4×Dic17C22×C414yes—
241C4×Dic17C22×C414yes—
242C2×#2283—171nomaximal, Sylow
243C23×C17—22no—
244C23×C17—22no—
245C23×C17C23×C412yes—
246C23×C17C2×#4114yes—
247C23×C17C2511yescharacteristic
248C22×D17—22no—
249C22×D17—22no—
250C22×D17—28no—
251C22×D17—28no—
252C22×D17—232no—
253C22×D17#117116yes—
254C22×D17C23×C412yes—
255C22×D17C23×C412yes—
256C22×D17C2×#4114yes—
257C22×D17C2×#4114yes—
258C22×D17C2×#4114yes—
259C22×D17C2×#4114yes—
260C2×C4×C17—28no—
261C2×C4×C17—22no—
262C2×C4×C17—22no—
263C2×C4×C17—22no—
264C2×C4×C17—22no—
265C2×C4×C17—28no—
266C2×C4×C17—28no—
267C2×C4×C17—28no—
268C2×C4×C17—28no—
269C2×C4×C17—28no—
270C2×C4×C17C23×C412yes—
271C2×C4×C17C23×C412yes—
272C2×C4×C17C23×C412yes—
273C2×C4×C17C23×C412yes—
274C2×C4×C17C23×C412yes—
275C2×C4×C17C23×C412yes—
276C2×C4×C17C2×#4114yes—
277C2×C4×C17C2×#4114yes—
278C2×Dic17—28no—
279C2×Dic17—22no—
280C2×Dic17—22no—
281C2×Dic17—22no—
282C2×Dic17—22no—
283C2×Dic17—28no—
284C2×Dic17—28no—
285C2×Dic17—28no—
286C2×Dic17—28no—
287C2×Dic17—28no—
288C2×Dic17C23×C412yes—
289C2×Dic17C23×C412yes—
290C2×Dic17C23×C412yes—
291C2×Dic17C23×C412yes—
292C2×Dic17C23×C412yes—
293C2×Dic17C23×C412yes—
294C2×Dic17C2×#4114yes—
295C2×Dic17C2×#4114yes—
296C4×D17—28no—
297C4×D17—28no—
298C4×D17—28no—
299C4×D17—28no—
300C4×D17—28no—
301C4×D17—28no—
302C4×D17—28no—
303C4×D17—28no—
304C4×D17—28no—
305C4×D17—28no—
306C4×D17—432no—
307C4×D17#117116yes—
308C4×D17#117116yes—
309C23×C42—171no—
310#2283—171no—
311#2283—172no—
312#2283—172no—
313#2283—172no—
314#2283—172no—
315#2283—172no—
316#2283—172no—
317#2283—172no—
318#2283D1711yescharacteristic, direct product factor
319C2×#383—172no—
320C2×#382—172no—
321C2×#381—172no—
322C2×#380—172no—
323C2×C4×C4⋊C4—172no—
324C2×C4×C22⋊C4—172no—
325C2×#376—172no—
326C22×C17—22no—
327C22×C17—22no—
328C22×C17—28no—
329C22×C17C2×#11714yes—
330C22×C17C24×C411yescharacteristic
331C22×C17C22×#4112yes—
332C22×C17C22×#4112yes—
333C22×C17C22×#4112yes—
334C2×D17—22no—
335C2×D17—22no—
336C2×D17—28no—
337C2×D17—232no—
338C2×D17C2×#11714yes—
339C2×D17C2×#11714yes—
340C2×D17C2×#11714yes—
341C2×D17C2×#11714yes—
342C2×D17#529116yes—
343C4×C17—22no—
344C4×C17—22no—
345C4×C17—22no—
346C4×C17—22no—
347C4×C17—48no—
348C4×C17C2×#11714yes—
349C4×C17C2×#11714yes—
350Dic17—22no—
351Dic17—22no—
352Dic17—22no—
353Dic17—22no—
354Dic17—48no—
355Dic17C2×#11714yes—
356Dic17C2×#11714yes—
357C24×C4—171no—
358C24×C4—171no—
359C24×C4—171no—
360C22×C4⋊C4—174no—
361C22×C22⋊C4—174no—
362C22×C42—171no—
363C22×C42—171no—
364C22×C42—171no—
365C22×C42—1716no—
366C22×C42—171no—
367C22×C42—171no—
368C22×C42—171no—
369C22×C42—171no—
370C22×C42—171no—
371C22×C42—171no—
372C22×C42—171no—
373C22×C42—171no—
374C22×C42—174no—
375C22×C42C2×D1711yescharacteristic
376#383—172no—
377#383—174no—
378#383—174no—
379#383—174no—
380#383C2×D1712yescomplemented
381#382—174no—
382#382—172no—
383#382—174no—
384#382—174no—
385#382C2×D1712yescomplemented
386#381—172no—
387#381—174no—
388#381—174no—
389#381—174no—
390#381C2×D1712yes—
391#380—172no—
392#380—174no—
393#380—174no—
394#380—174no—
395#380C2×D1712yes—
396C4×C4⋊C4—174no—
397C4×C4⋊C4—172no—
398C4×C4⋊C4—174no—
399C4×C4⋊C4—174no—
400C4×C4⋊C4C2×D1712yescomplemented
401C4×C22⋊C4—172no—
402C4×C22⋊C4—174no—
403C4×C22⋊C4—174no—
404C4×C22⋊C4—174no—
405C4×C22⋊C4C2×D1712yes—
406#376—174no—
407#376—172no—
408#376—174no—
409#376—174no—
410#376C2×D1712yescomplemented
411C2×#95—174no—
412C2×#95—174no—
413C2×#95—174no—
414C2×#95—174no—
415C2×C17—24no—
416C2×C17C22×#11711yescharacteristic
417C2×C17C22×#11711yescharacteristic
418C2×C17C22×#11711yescharacteristic
419C2×C17C2×#52914yes—
420D17—24no—
421D17#228318yesdirect product factor
422C25—171no—
423C23×C4—171no—
424C23×C4—171no—
425C23×C4—171no—
426C23×C4—171no—
427C23×C4—171no—
428C23×C4—178no—
429C23×C4—178no—
430C23×C4—178no—
431C23×C4—171no—
432C23×C4—171no—
433C23×C4—171no—
434C23×C4—171no—
435C23×C4—171no—
436C23×C4—171no—
437C23×C4—171no—
438C23×C4—171no—
439C23×C4—171no—
440C23×C4—171no—
441C23×C4—178no—
442C23×C4—348no—
443C23×C4—348no—
444C23×C4—348no—
445C23×C4C22×D1711yescharacteristic
446C23×C4C22×D1711yescharacteristic
447C23×C4C22×D1711yescharacteristic
448C2×C4⋊C4—178no—
449C2×C4⋊C4—174no—
450C2×C4⋊C4—3416no—
451C2×C4⋊C4C22×D1714yes—
452C2×C22⋊C4—174no—
453C2×C22⋊C4—178no—
454C2×C22⋊C4—3416no—
455C2×C22⋊C4C22×D1714yes—
456C2×C42—178no—
457C2×C42—178no—
458C2×C42—178no—
459C2×C42—171no—
460C2×C42—171no—
461C2×C42—171no—
462C2×C42—171no—
463C2×C42—171no—
464C2×C42—171no—
465C2×C42—171no—
466C2×C42—171no—
467C2×C42—171no—
468C2×C42—171no—
469C2×C42—171no—
470C2×C42—171no—
471C2×C42—178no—
472C2×C42—178no—
473C2×C42—178no—
474C2×C42—178no—
475C2×C42—178no—
476C2×C42—178no—
477C2×C42—178no—
478C2×C42—178no—
479C2×C42—178no—
480C2×C42—174no—
481C2×C42—3416no—
482C2×C42C4×D1718yescomplemented
483C2×C42C22×D1714yes—
484C2×C42C22×D1711yescharacteristic
485C2×C42C22×D1711yescharacteristic
486C2×C42C22×D1711yescharacteristic
487C2×C42C22×D1711yescharacteristic
488#95—178no—
489#95—174no—
490#95—178no—
491#95—174no—
492#95—178no—
493#95—174no—
494#95—178no—
495#95—174no—
496#95C22×D1714yes—
497#95C22×D1714yes—
498#95C22×D1714yes—
499#95C22×D1714yes—
500C17C2×#228311yescharacteristic, complemented, Sylow
501C24—171no—
502C24—174no—
503C24—178no—
504C24—171no—
505C24—344no—
506C24—344no—
507C24C23×D1711yescharacteristic
508C22×C4—24no—
509C22×C4—24no—
510C22×C4—24no—
511C22×C4—171no—
512C22×C4—171no—
513C22×C4—174no—
514C22×C4—174no—
515C22×C4—178no—
516C22×C4—178no—
517C22×C4—174no—
518C22×C4—174no—
519C22×C4—174no—
520C22×C4—171no—
521C22×C4—171no—
522C22×C4—171no—
523C22×C4—171no—
524C22×C4—174no—
525C22×C4—174no—
526C22×C4—174no—
527C22×C4—174no—
528C22×C4—174no—
529C22×C4—174no—
530C22×C4—174no—
531C22×C4—174no—
532C22×C4—174no—
533C22×C4—174no—
534C22×C4—178no—
535C22×C4—344no—
536C22×C4—344no—
537C22×C4—3432no—
538C22×C4—3432no—
539C22×C4—3432no—
540C22×C4—344no—
541C22×C4—344no—
542C22×C4—344no—
543C22×C4—344no—
544C22×C4—344no—
545C22×C4—344no—
546C22×C4—3416no—
547C22×C4—3416no—
548C22×C4—3416no—
549C22×C4—344no—
550C22×C4—344no—
551C22×C4—344no—
552C22×C4—344no—
553C22×C4—344no—
554C22×C4C2×C4×D1714yes—
555C22×C4C2×C4×D1714yes—
556C22×C4C2×C4×D1714yes—
557C22×C4C23×D1718yes—
558C22×C4C23×D1711yescharacteristic
559C22×C4C23×D1711yescharacteristic
560C22×C4C23×D1711yescharacteristic
561C22×C4C23×D1711yescharacteristic
562C22×C4C23×D1711yescharacteristic
563C22×C4C23×D1711yescharacteristic
564C4⋊C4—28no—
565C4⋊C4—3416no—
566C4⋊C4—348no—
567C22⋊C4—28no—
568C22⋊C4—3416no—
569C22⋊C4—348no—
570C42—28no—
571C42—174no—
572C42—174no—
573C42—174no—
574C42—174no—
575C42—174no—
576C42—174no—
577C42—174no—
578C42—174no—
579C42—174no—
580C42—174no—
581C42—174no—
582C42—174no—
583C42—3416no—
584C42—348no—
585C42C2×C4×D1714yes—
586C42C2×C4×D1714yes—
587C42C2×C4×D1714yes—
588C42C2×C4×D1714yes—
589C23—22no—
590C23—22no—
591C23—172no—
592C23—174no—
593C23—174no—
594C23—174no—
595C23—1716no—
596C23—172no—
597C23—174no—
598C23—348no—
599C23—348no—
600C23—3432no—
601C23—342no—
602C23—342no—
603C23C22×C4×D1712yes—
604C23#41×D1714yes—
605C23C24×D1711yescharacteristic
606C2×C4—28no—
607C2×C4—22no—
608C2×C4—22no—
609C2×C4—22no—
610C2×C4—22no—
611C2×C4—28no—
612C2×C4—28no—
613C2×C4—28no—
614C2×C4—28no—
615C2×C4—28no—
616C2×C4—172no—
617C2×C4—172no—
618C2×C4—174no—
619C2×C4—174no—
620C2×C4—1716no—
621C2×C4—1716no—
622C2×C4—172no—
623C2×C4—172no—
624C2×C4—172no—
625C2×C4—172no—
626C2×C4—348no—
627C2×C4—348no—
628C2×C4—348no—
629C2×C4—348no—
630C2×C4—348no—
631C2×C4—348no—
632C2×C4—348no—
633C2×C4—348no—
634C2×C4—348no—
635C2×C4—348no—
636C2×C4—348no—
637C2×C4—342no—
638C2×C4—342no—
639C2×C4—342no—
640C2×C4—342no—
641C2×C4—348no—
642C2×C4—348no—
643C2×C4—348no—
644C2×C4—348no—
645C2×C4—348no—
646C2×C4—6832no—
647C2×C4C22×C4×D1712yes—
648C2×C4C22×C4×D1712yes—
649C2×C4C22×C4×D1712yes—
650C2×C4C22×C4×D1712yes—
651C2×C4C22×C4×D1712yes—
652C2×C4C22×C4×D1712yes—
653C2×C4#41×D1714yes—
654C2×C4#41×D1714yes—
655C22—22no—
656C22—22no—
657C22—28no—
658C22—174no—
659C22—174no—
660C22—174no—
661C22—1716no—
662C22—174no—
663C22—3432no—
664C22—342no—
665C22—342no—
666C22—348no—
667C22#117×D1714yes—
668C22C23×C4×D1711yescharacteristic
669C22C2×#41×D1712yes—
670C22C2×#41×D1712yes—
671C22C2×#41×D1712yes—
672C4—22no—
673C4—22no—
674C4—22no—
675C4—22no—
676C4—48no—
677C4—174no—
678C4—174no—
679C4—342no—
680C4—342no—
681C4—342no—
682C4—342no—
683C4—688no—
684C4#117×D1714yes—
685C4#117×D1714yes—
686C2—24no—
687C2—178no—
688C2—344no—
689C2C2×#117×D1711yescharacteristic
690C2C2×#117×D1711yescharacteristic
691C2C2×#117×D1711yescharacteristic
692C2D17×#52914yes—
subgroupG/H
centerC22×C4C23×D17
commutatorC22×C17C24×C4
FrattiniC23C24×D17
FittingC17×#2283C2
socle, cosocleC23×C17C25
prime radicalC24×D17C23
hypercenter#2283D17
hypocenterC17C2×#2283
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C22×C4 ◁ #2283

Complements

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

NH ≅ G/Ntype
2. #14531182C2semidirect
3. #14531181C2semidirect
4. #14531180C2semidirect
5. #14531179C2semidirect
6. #14531178C2semidirect
7. #14531177C2semidirect
8. #14531176C2semidirect
9. #14531175C2semidirect
10. D17×#383C2semidirect
11. D17×#382C2semidirect
14. C4×C4⋊C4×D17C2semidirect
16. D17×#376C2semidirect
17. C17×#2283C2semidirect
26. C2×C42×D17C4semidirect
36. #11762677C22semidirect
37. #11762676C22semidirect
38. #11762676C22semidirect
39. #11762676C22semidirect
40. #11762675C22semidirect
41. #11762674C22semidirect
42. #11762673C22semidirect
43. #11762673C22semidirect
52. C4⋊C4×Dic17C22semidirect
53. C4×#63225C22semidirect
54. C4×C4⋊Dic17C22semidirect
55. #11762660C22semidirect
60. #11762655C22semidirect
61. #11762655C22semidirect
62. #11762654C22semidirect
63. #11762654C22semidirect
69. C17×#383C22semidirect
70. C17×#382C22semidirect
73. C4×C4⋊C4×C17C22semidirect
75. C17×#376C22semidirect
104. C2×C42×C17C2×C4semidirect
114. C2×C4×Dic17C2×C4semidirect
115. C2×C4×Dic17C2×C4semidirect
116. C2×C4×Dic17C2×C4semidirect
138. C42×D17C2×C4semidirect
139. C42×D17C2×C4semidirect
140. C42×D17C2×C4semidirect
141. C42×D17C2×C4semidirect
318. #2283D17direct (N × H)
380. #383C2×D17semidirect
385. #382C2×D17semidirect
400. C4×C4⋊C4C2×D17semidirect
410. #376C2×D17semidirect
421. D17#2283direct (N × H)
482. C2×C42C4×D17semidirect
500. C17C2×#2283semidirect

Maximal subgroups

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

subgroupindex
C22×C42×D172
#145311822
#145311812
#145311802
#145311792
#145311782
#145311772
#145311762
#145311752
D17×#3832
D17×#3822
D17×#3812
D17×#3802
C4×C4⋊C4×D172
C4×C22⋊C4×D172
D17×#3762
C17×#22832
C2×#228317