Finite Group Databasebeta

← #17035470

Subgroups — #17035470

Order 4352.

2230 conjugacy classes of subgroups.

The subgroup lattice has 712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×M16×D17C211yesmaximal, characteristic, complemented
2C22×C4×C22⋊D17C211yesmaximal, characteristic
3C2×#11762773C211yesmaximal, characteristic, complemented
4C2×#11762772C211yesmaximal, characteristic, complemented
5#14529078C214yesmaximal, complemented
6#14529073C214yesmaximal, complemented
7#14528477C211yesmaximal, characteristic, complemented
8#14528477C211yesmaximal, characteristic, complemented
9C2×C17×#407C211yesmaximal, characteristic, complemented
10C23×C22⋊D17C411yescharacteristic
11C23×C4×D17C2211yescharacteristic
12C22×#63223C2211yescharacteristic
13C22×#63223C2211yescharacteristic
14C22×#63218C2212yescomplemented
15C2×M16×D17—24no—
16C2×M16×D17—24no—
17C2×M16×D17—24no—
18C22×C8×D17C2212yescomplemented
19C2×C4×C22⋊D17—24no—
20C2×C4×C22⋊D17—24no—
21C2×C4×C22⋊D17C412yes—
22C2×C4×C22⋊D17C412yes—
23C2×C4×C22⋊D17C2212yes—
24C2×C4×C22⋊D17C2212yes—
25C22×#63225C411yescharacteristic
26C22×C22⋊Dic17C411yescharacteristic
27C22×#63227C411yescharacteristic
28C22×C4×Dic17C2211yescharacteristic
29#11762773—24no—
30#11762772—24no—
31C2×C22⋊#3622C2214yescomplemented
32C2×#10587491C2212yescomplemented
33C2×#10587491C2212yescomplemented
34#11762563C2214yescomplemented
35#11762563C2214yescomplemented
36C24×C4×C17C2211yescharacteristic
37C22×M16×C17C2211yescharacteristic
38C22×M16×C17C2211yescharacteristic
39C17×#407—24no—
40C2×C17×C22⋊C8C2214yescomplemented
41C25×C17C2×C411yescharacteristic
42C24×D17C2×C411yescharacteristic
43C23×C4×C17—22no—
44C23×C4×C17—22no—
45C23×C4×C17—22no—
46C23×C4×C17—22no—
47C23×C4×C17—22no—
48C23×C4×C17—22no—
49C23×C4×C17C2×C411yescharacteristic
50C23×C4×C17C2×C412yes—
51C23×C4×C17C2312yes—
52C23×C4×C17C2311yescharacteristic
53C22×C22⋊D17—24no—
54C22×C22⋊D17—28no—
55C22×C22⋊D17C2×C412yes—
56C22×C22⋊D17C2×C412yes—
57C23×Dic17C2×C411yescharacteristic
58C23×Dic17C2×C411yescharacteristic
59C23×Dic17C2×C411yescharacteristic
60C22×C4×D17—22no—
61C22×C4×D17—22no—
62C22×C4×D17—22no—
63C22×C4×D17—22no—
64C22×C4×D17C2×C411yescharacteristic
65C22×C4×D17C2×C411yescharacteristic
66C22×C4×D17D414yes—
67C22×C4×D17D414yes—
68C22×C4×D17C2311yescharacteristic
69C22×C4×D17C2311yescharacteristic
70C2×M16×C17—22no—
71C2×M16×C17—22no—
72C2×M16×C17—22no—
73C2×M16×C17—22no—
74C2×M16×C17—22no—
75C2×M16×C17D414yescomplemented
76C22×C8×C17C2312yes—
77C22×C8×C17C2312yes—
78C2×C22⋊Dic17—24no—
79C2×C22⋊Dic17C2×C412yes—
80C2×C22⋊Dic17C2×C412yes—
81C4×C22⋊D17—28no—
82C4×C22⋊D17—28no—
83C4×C22⋊D17—24no—
84C4×C22⋊D17—24no—
85C4×C22⋊D17—24no—
86C4×C22⋊D17—24no—
87C2×#63227—24no—
88C2×#63227C2×C412yes—
89C2×#63227C2×C412yes—
90C2×#63225—24no—
91C2×#63225C2×C412yes—
92C2×#63225C2×C412yes—
93C2×C4×Dic17—22no—
94C2×C4×Dic17—22no—
95C2×C4×Dic17C2×C412yes—
96C2×C4×Dic17C2312yes—
97C2×#63223—22no—
98C2×#63223—22no—
99C2×#63223—22no—
100C2×#63223—22no—
101C2×#63223—22no—
102C2×#63223D414yescomplemented
103C22×#3622C2312yes—
104C22×#3622C2312yes—
105M16×D17—232no—
106C2×#63218—24no—
107C2×#63218—24no—
108C2×#63218—24no—
109C2×C8×D17—24no—
110C2×C8×D17—24no—
111C2×C8×D17—24no—
112C17×C22⋊C8—28no—
113C22⋊#3622—28no—
114#10587491—24no—
115#10587491—24no—
116C24×C17—22no—
117C24×C17—24no—
118C24×C17—22no—
119C24×C17—22no—
120C24×C17—42no—
121C24×C17C22×C412yes—
122C24×C17C22×C411yescharacteristic
123C23×D17—22no—
124C23×D17—22no—
125C23×D17—24no—
126C23×D17—42no—
127C23×D17C22⋊C414yes—
128C23×D17C22×C411yescharacteristic
129C23×D17C22×C411yescharacteristic
130C22×C4×C17—22no—
131C22×C4×C17—22no—
132C22×C4×C17—22no—
133C22×C4×C17—24no—
134C22×C4×C17—24no—
135C22×C4×C17—24no—
136C22×C4×C17—22no—
137C22×C4×C17—22no—
138C22×C4×C17—22no—
139C22×C4×C17—22no—
140C22×C4×C17—22no—
141C22×C4×C17—22no—
142C22×C4×C17—44no—
143C22×C4×C17—44no—
144C22×C4×C17—44no—
145C22×C4×C17—44no—
146C22×C4×C17C22×C412yes—
147C22×C4×C17C22×C411yescharacteristic
148C22×C4×C17C2×D412yes—
149C22×C4×C17C2×D412yes—
150C22×C4×C17C2×D412yes—
151C22×C4×C17C2×D412yes—
152C22×C4×C17#4112yes—
153C22×C4×C17#4112yes—
154C22×C4×C17C2411yescharacteristic
155C2×C22⋊D17—232no—
156C2×C22⋊D17—24no—
157C2×C22⋊D17—24no—
158C2×C22⋊D17—24no—
159C2×C22⋊D17—24no—
160C2×C22⋊D17—24no—
161C2×C22⋊D17M1618yescomplemented
162C22×Dic17—22no—
163C22×Dic17—22no—
164C22×Dic17—22no—
165C22×Dic17—24no—
166C22×Dic17—22no—
167C22×Dic17—42no—
168C22×Dic17C22⋊C414yes—
169C22×Dic17C22×C412yes—
170C22×Dic17C22×C411yescharacteristic
171C22×Dic17C22×C411yescharacteristic
172C22×Dic17C22×C412yes—
173C2×C4×D17—22no—
174C2×C4×D17—22no—
175C2×C4×D17—22no—
176C2×C4×D17—22no—
177C2×C4×D17—28no—
178C2×C4×D17—28no—
179C2×C4×D17—28no—
180C2×C4×D17—28no—
181C2×C4×D17—21no—
182C2×C4×D17—21no—
183C2×C4×D17—21no—
184C2×C4×D17—21no—
185C2×C4×D17—21no—
186C2×C4×D17—21no—
187C2×C4×D17—21no—
188C2×C4×D17—21no—
189C2×C4×D17C22⋊C414yes—
190C2×C4×D17C22⋊C414yes—
191C2×C4×D17C2×D412yes—
192C2×C4×D17C2×D412yes—
193C2×C4×D17C2×D412yes—
194C2×C4×D17C2×D412yes—
195M16×C17—28no—
196M16×C17—44no—
197C2×C8×C17—22no—
198C2×C8×C17—22no—
199C2×C8×C17—22no—
200C2×C8×C17—22no—
201C2×C8×C17—22no—
202C2×C8×C17C2×D414yescomplemented
203C22⋊Dic17—24no—
204C22⋊Dic17—24no—
205#63227—24no—
206#63227—24no—
207#63225—24no—
208#63225—24no—
209C4×Dic17—24no—
210C4×Dic17—22no—
211C4×Dic17—22no—
212#63223—28no—
213#63223—44no—
214C2×#3622—22no—
215C2×#3622—22no—
216C2×#3622—22no—
217C2×#3622—22no—
218C2×#3622—22no—
219C2×#3622C2×D414yescomplemented
220#63218—216no—
221C8×D17—216no—
222#20898—171nomaximal, Sylow
223C23×C17—22no—
224C23×C17—22no—
225C23×C17—28no—
226C23×C17—22no—
227C23×C17—22no—
228C23×C17—22no—
229C23×C17—22no—
230C23×C17—22no—
231C23×C17—22no—
232C23×C17—48no—
233C23×C17—48no—
234C23×C17—44no—
235C23×C17—44no—
236C23×C17C2×C22⋊C412yes—
237C23×C17C4×D412yes—
238C23×C17C4×D412yes—
239C23×C17C2×M1614yescomplemented
240C23×C17C23×C411yescharacteristic
241C22×D17—21no—
242C22×D17—21no—
243C22×D17—22no—
244C22×D17—21no—
245C22×D17—21no—
246C22×D17—22no—
247C22×D17—22no—
248C22×D17—28no—
249C22×D17—28no—
250C22×D17—44no—
251C22×D17—48no—
252C22×D17—48no—
253C22×D17C2×C22⋊C412yes—
254C22×D17C2×C22⋊C412yes—
255C22×D17C2×M1614yes—
256C2×C4×C17—22no—
257C2×C4×C17—22no—
258C2×C4×C17—22no—
259C2×C4×C17—44no—
260C2×C4×C17—42no—
261C2×C4×C17—42no—
262C2×C4×C17—42no—
263C2×C4×C17—42no—
264C2×C4×C17—48no—
265C2×C4×C17C2×C22⋊C412yes—
266C2×C4×C17C4×D412yes—
267C2×C4×C17C4×D412yes—
268C2×C4×C17#12014yes—
269C2×C4×C17#12114yes—
270C2×C4×C17#12114yes—
271C2×C4×C17#12314yes—
272C2×C4×C17C22×D411yescharacteristic
273C2×C4×C17C22×D411yescharacteristic
274C2×C4×C17C22×D411yescharacteristic
275C2×C4×C17C22×D411yescharacteristic
276C2×C4×C17C2×#4111yescharacteristic
277C2×C4×C17C2×#4111yescharacteristic
278C22⋊D17—216no—
279C22⋊D17—216no—
280C2×Dic17—28no—
281C2×Dic17—22no—
282C2×Dic17—21no—
283C2×Dic17—21no—
284C2×Dic17—21no—
285C2×Dic17—21no—
286C2×Dic17—22no—
287C2×Dic17—28no—
288C2×Dic17—22no—
289C2×Dic17—24no—
290C2×Dic17—44no—
291C2×Dic17C2×C22⋊C412yes—
292C2×Dic17C2×C22⋊C412yes—
293C2×Dic17C2×M1614yescomplemented
294C4×D17—22no—
295C4×D17—22no—
296C4×D17—22no—
297C4×D17—22no—
298C4×D17—22no—
299C4×D17—22no—
300C4×D17—22no—
301C4×D17—22no—
302C4×D17—28no—
303C4×D17—28no—
304C8×C17—24no—
305C8×C17—42no—
306#3622—24no—
307#3622—42no—
308C23×M16—171no—
309C22×C4×D4—171no—
310C2×#407—171no—
311C2×#407—171no—
312C2×#407D1711yescharacteristic, complemented
313#1870—174no—
314#1869—174no—
315#1728—171no—
316#1728—171no—
317C22×C17—22no—
318C22×C17—22no—
319C22×C17—24no—
320C22×C17—24no—
321C22×C17—24no—
322C22×C17—24no—
323C22×C17—24no—
324C22×C17—416no—
325C22×C17—42no—
326C22×C17—42no—
327C22×C17—42no—
328C22×C17—42no—
329C22×C17#38614yes—
330C22×C17C22×C22⋊C411yescharacteristic
331C22×C17C2×C4×D411yescharacteristic
332C22×C17C2×C4×D411yescharacteristic
333C22×C17C22×M1612yes—
334C22×C17#56812yes—
335C2×D17—22no—
336C2×D17—24no—
337C2×D17—24no—
338C2×D17—22no—
339C2×D17—22no—
340C2×D17—22no—
341C2×D17—22no—
342C2×D17—416no—
343C2×D17—42no—
344C2×D17—42no—
345C2×D17#40714yescomplemented
346C4×C17—42no—
347C4×C17#38614yes—
348C4×C17C2×#12011yescharacteristic
349C4×C17C2×#12111yescharacteristic
350C4×C17C2×#12111yescharacteristic
351C4×C17C2×#12311yescharacteristic
352Dic17—24no—
353Dic17—22no—
354Dic17—22no—
355Dic17—42no—
356C23×D4—171no—
357C24×C4—171no—
358C24×C4C2×D1711yescharacteristic
359C22×M16—171no—
360C22×M16—171no—
361C22×M16—172no—
362C22×M16—344no—
363C22×M16—344no—
364C22×M16—344no—
365C22×M16C2×D1711yescharacteristic
366C22×M16C2×D1711yescharacteristic
367C23×C8—172no—
368C2×C4×D4—172no—
369C2×C4×D4—172no—
370C2×C4×D4—172no—
371C2×C4×D4—172no—
372C2×C4×D4—344no—
373C2×C4×D4—344no—
374C22×C4⋊C4—171no—
375C22×C22⋊C4—171no—
376C22×C22⋊C4—171no—
377C22×C42—171no—
378#407—24no—
379#407—344no—
380#407—344no—
381C2×C22⋊C8—174no—
382C2×C22⋊C8—172no—
383C2×C22⋊C8—172no—
384C2×C22⋊C8C2×D1714yescomplemented
385#336—174no—
386#336—174no—
387C2×C17—24no—
388C2×C17—44no—
389C2×C17C2×#38611yescharacteristic
390C2×C17C2×#40711yescharacteristic
391C2×C17#287911yescharacteristic
392C2×C17D4×M1612yes—
393C2×C17D4×M1612yes—
394D17—24no—
395D17—42no—
396C25—171no—
397C25C4×D1711yescharacteristic
398C22×D4—172no—
399C22×D4—172no—
400C22×D4—348no—
401C22×D4—344no—
402C23×C4—22no—
403C23×C4—22no—
404C23×C4—22no—
405C23×C4—22no—
406C23×C4—22no—
407C23×C4—22no—
408C23×C4—171no—
409C23×C4—171no—
410C23×C4—171no—
411C23×C4—174no—
412C23×C4—174no—
413C23×C4—171no—
414C23×C4—171no—
415C23×C4—171no—
416C23×C4—171no—
417C23×C4—342no—
418C23×C4—342no—
419C23×C4—342no—
420C23×C4—342no—
421C23×C4C4×D1711yescharacteristic
422C23×C4C4×D1712yes—
423C23×C4C22×D1712yes—
424C23×C4C22×D1711yescharacteristic
425C2×M16—22no—
426C2×M16—22no—
427C2×M16—22no—
428C2×M16—22no—
429C2×M16—22no—
430C2×M16—174no—
431C2×M16—344no—
432C2×M16—344no—
433C2×M16—3432no—
434C2×M16—342no—
435C2×M16—342no—
436C2×M16—342no—
437C2×M16—342no—
438C2×M16—342no—
439C2×M16—344no—
440C2×M16C22⋊D1714yescomplemented
441C22×C8—172no—
442C22×C8—172no—
443C22×C8—344no—
444C22×C8—344no—
445C22×C8—344no—
446C22×C8C22×D1712yes—
447C22×C8C22×D1712yes—
448C4×D4—344no—
449C4×D4—344no—
450C4×D4—344no—
451C4×D4—344no—
452C4×D4—348no—
453C4×D4—348no—
454C2×C4⋊C4—172no—
455C2×C4⋊C4—172no—
456C2×C4⋊C4—344no—
457C2×C22⋊C4—172no—
458C2×C22⋊C4—172no—
459C2×C22⋊C4—172no—
460C2×C22⋊C4—172no—
461C2×C22⋊C4—344no—
462C2×C22⋊C4—344no—
463C2×C42—172no—
464C2×C42—172no—
465C2×C42—342no—
466C2×C42—342no—
467C22⋊C8—28no—
468C22⋊C8—344no—
469C22⋊C8—344no—
470C22⋊C8—348no—
471C17#2089811yescharacteristic, complemented, Sylow
472C24—22no—
473C24—24no—
474C24—22no—
475C24—22no—
476C24—42no—
477C24—171no—
478C24—171no—
479C24—174no—
480C24—344no—
481C24—342no—
482C24—342no—
483C24—682no—
484C24C2×C4×D1712yes—
485C24C2×C4×D1711yescharacteristic
486C2×D4—178no—
487C2×D4—344no—
488C2×D4—344no—
489C2×D4—344no—
490C2×D4—344no—
491C2×D4—3432no—
492C2×D4—344no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—24no—
503C22×C4—24no—
504C22×C4—24no—
505C22×C4—44no—
506C22×C4—44no—
507C22×C4—44no—
508C22×C4—44no—
509C22×C4—172no—
510C22×C4—171no—
511C22×C4—171no—
512C22×C4—174no—
513C22×C4—172no—
514C22×C4—172no—
515C22×C4—172no—
516C22×C4—172no—
517C22×C4—174no—
518C22×C4—174no—
519C22×C4—172no—
520C22×C4—344no—
521C22×C4—342no—
522C22×C4—342no—
523C22×C4—342no—
524C22×C4—341no—
525C22×C4—341no—
526C22×C4—341no—
527C22×C4—341no—
528C22×C4—341no—
529C22×C4—341no—
530C22×C4—341no—
531C22×C4—341no—
532C22×C4—342no—
533C22×C4—342no—
534C22×C4—348no—
535C22×C4—348no—
536C22×C4—342no—
537C22×C4—342no—
538C22×C4—348no—
539C22×C4—348no—
540C22×C4—342no—
541C22×C4—682no—
542C22×C4C2×C4×D1712yes—
543C22×C4C2×C4×D1711yescharacteristic
544C22×C4#6325212yes—
545C22×C4D4×D1712yes—
546C22×C4D4×D1712yes—
547C22×C4D4×D1712yes—
548C22×C4#6325412yes—
549C22×C4C2×C22⋊D1712yes—
550C22×C4C23×D1711yescharacteristic
551M16—28no—
552M16—44no—
553M16—3416no—
554M16—348no—
555M16—684no—
556C2×C8—22no—
557C2×C8—22no—
558C2×C8—22no—
559C2×C8—22no—
560C2×C8—22no—
561C2×C8—174no—
562C2×C8—3416no—
563C2×C8—342no—
564C2×C8—342no—
565C2×C8—342no—
566C2×C8—342no—
567C2×C8—342no—
568C2×C8C2×C22⋊D1714yescomplemented
569C4⋊C4—344no—
570C4⋊C4—344no—
571C22⋊C4—344no—
572C22⋊C4—344no—
573C22⋊C4—344no—
574C22⋊C4—344no—
575C42—342no—
576C42—342no—
577C42—344no—
578C23—22no—
579C23—22no—
580C23—28no—
581C23—22no—
582C23—22no—
583C23—22no—
584C23—22no—
585C23—22no—
586C23—22no—
587C23—48no—
588C23—48no—
589C23—44no—
590C23—44no—
591C23—172no—
592C23—174no—
593C23—172no—
594C23—348no—
595C23—341no—
596C23—341no—
597C23—342no—
598C23—341no—
599C23—341no—
600C23—342no—
601C23—342no—
602C23—348no—
603C23—684no—
604C23—688no—
605C23—688no—
606C23C22⋊C4×D1712yes—
607C23#1058756712yes—
608C23M16×D1714yescomplemented
609C23C4×C22⋊D1712yes—
610C23C22×C4×D1711yescharacteristic
611D4—3416no—
612D4—3416no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—22no—
616C2×C4—44no—
617C2×C4—42no—
618C2×C4—42no—
619C2×C4—42no—
620C2×C4—42no—
621C2×C4—48no—
622C2×C4—172no—
623C2×C4—172no—
624C2×C4—174no—
625C2×C4—348no—
626C2×C4—342no—
627C2×C4—341no—
628C2×C4—341no—
629C2×C4—341no—
630C2×C4—341no—
631C2×C4—342no—
632C2×C4—348no—
633C2×C4—342no—
634C2×C4—342no—
635C2×C4—342no—
636C2×C4—342no—
637C2×C4—342no—
638C2×C4—342no—
639C2×C4—342no—
640C2×C4—342no—
641C2×C4—348no—
642C2×C4—348no—
643C2×C4—342no—
644C2×C4—344no—
645C2×C4—684no—
646C2×C4C22⋊C4×D1712yes—
647C2×C4#1058756712yes—
648C2×C4#1058756914yes—
649C2×C4#1058757014yes—
650C2×C4C4×C22⋊D1712yes—
651C2×C4#1058762314yes—
652C2×C4#1058762414yes—
653C2×C4C2×#6325211yescharacteristic
654C2×C4C2×D4×D1711yescharacteristic
655C2×C4C2×D4×D1711yescharacteristic
656C2×C4C2×D4×D1711yescharacteristic
657C2×C4C2×#6325411yescharacteristic
658C2×C4C22×C22⋊D1711yescharacteristic
659C8—24no—
660C8—42no—
661C8—344no—
662C8—682no—
663C22—22no—
664C22—22no—
665C22—24no—
666C22—24no—
667C22—24no—
668C22—24no—
669C22—24no—
670C22—416no—
671C22—42no—
672C22—42no—
673C22—42no—
674C22—42no—
675C22—174no—
676C22—342no—
677C22—344no—
678C22—344no—
679C22—342no—
680C22—342no—
681C22—342no—
682C22—342no—
683C22—6816no—
684C22—682no—
685C22—682no—
686C22#1176268514yes—
687C22C2×C22⋊C4×D1711yescharacteristic
688C22C2×#1058756711yescharacteristic
689C22C2×C4×C22⋊D1711yescharacteristic
690C22C2×M16×D1712yes—
691C22#1176357512yes—
692C4—42no—
693C4—344no—
694C4—342no—
695C4—342no—
696C4—682no—
697C4#1176268514yes—
698C4C2×#1058762311yescharacteristic
699C4C2×#1058762411yescharacteristic
700C4C2×#1058757011yescharacteristic
701C4C2×#1058756911yescharacteristic
702C2—24no—
703C2—44no—
704C2—344no—
705C2—682no—
706C2C2×#1176268511yescharacteristic
707C2D17×#40711yescharacteristic
708C2#1453722711yescharacteristic
709C2#1453751612yes—
710C2M16×C22⋊D1712yes—
subgroupG/H
center, FrattiniC22×C4C23×D17
commutator, socleC23×C17C23×C4
FittingC2×C17×#407C2
prime radicalC23×C22⋊D17C4
cosocleC22×C4×C17C24
hypercenterC2×#407D17
hypocenterC17#20898
LCSG ▷ C23×C17 ▷ C17
UCSC1 ◁ C22×C4 ◁ C2×#407

Complements

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

NH ≅ G/Ntype
1. C22×M16×D17C2semidirect
3. C2×#11762773C2semidirect
4. C2×#11762772C2semidirect
5. #14529078C2semidirect
6. #14529073C2semidirect
7. #14528477C2semidirect
8. #14528477C2semidirect
9. C2×C17×#407C2semidirect
14. C22×#63218C22semidirect
18. C22×C8×D17C22semidirect
31. C2×C22⋊#3622C22semidirect
32. C2×#10587491C22semidirect
33. C2×#10587491C22semidirect
34. #11762563C22semidirect
35. #11762563C22semidirect
40. C2×C17×C22⋊C8C22semidirect
75. C2×M16×C17D4semidirect
102. C2×#63223D4semidirect
161. C2×C22⋊D17M16semidirect
202. C2×C8×C17C2×D4semidirect
219. C2×#3622C2×D4semidirect
239. C23×C17C2×M16semidirect
293. C2×Dic17C2×M16semidirect
312. C2×#407D17semidirect
345. C2×D17#407semidirect
384. C2×C22⋊C8C2×D17semidirect
440. C2×M16C22⋊D17semidirect
471. C17#20898semidirect
568. C2×C8C2×C22⋊D17semidirect
608. C23M16×D17semidirect

Maximal subgroups

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

subgroupindex
C22×M16×D172
C22×C4×C22⋊D172
C2×#117627732
C2×#117627722
#145290782
#145290732
#145284772
C2×C17×#4072
#2089817