Finite Group Databasebeta

← #17040798

Subgroups — #17040798

Order 4352.

1138 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11763038C211yesmaximal, characteristic
2C2×#11762896C211yesmaximal, characteristic, complemented
3C22×C8×Dic17C211yesmaximal, characteristic, complemented
4#14531312C211yesmaximal, characteristic, complemented
5#14531290C211yesmaximal, characteristic
6#14529636C211yesmaximal, characteristic, complemented
7#14529510C211yesmaximal, characteristic, complemented
8#14529465C211yesmaximal, characteristic, complemented
9#14529458C211yesmaximal, characteristic, complemented
10#14529210C211yesmaximal, characteristic
11#14529205C211yesmaximal, characteristic, complemented
12#106×Dic17C211yesmaximal, characteristic, complemented
13#14528603C211yesmaximal, characteristic, complemented
14#14528598C211yesmaximal, characteristic, complemented
15C17×#1807C211yesmaximal, characteristic, complemented
16C22×#63219C2211yescharacteristic
17C23×#3622C2211yescharacteristic
18C2×#10587610C2211yescharacteristic
19C2×#10587616C2211yescharacteristic
20C2×#10587573C2211yescharacteristic
21C2×#10587579C2211yescharacteristic
22C2×#10587567—21no—
23C22×C4×Dic17C2211yescharacteristic
24#11763038C418yescomplemented
25#11762896—24no—
26C2×#10587488C2211yescharacteristic
27C2×#10587487C2211yescharacteristic
28C2×#10587481C2211yescharacteristic
29C2×#10587481C2211yescharacteristic
30C2×#10587492C2211yescharacteristic
31C2×#10587480C2211yescharacteristic
32C2×#10587480C2211yescharacteristic
33C2×C8×Dic17—24no—
34C2×C8×Dic17C2211yescharacteristic
35C2×C8×Dic17C2211yescharacteristic
36C2×C8×Dic17C2211yescharacteristic
37C2×C8×Dic17C2211yescharacteristic
38#11762714C2211yescharacteristic
39#11762710C2211yescharacteristic
40#11762705C2211yescharacteristic
41#11762705C2211yescharacteristic
42#11762698—21no—
43#11762691—21no—
44#11762686—21no—
45#11762681—21no—
46C4⋊C4×Dic17C2211yescharacteristic
47C4⋊C4×Dic17C2211yescharacteristic
48#11762660—21no—
49C22⋊C4×Dic17—21no—
50#11762656—21no—
51#11762571C2211yescharacteristic
52#11762571C2211yescharacteristic
53#11762571C2211yescharacteristic
54#11762571C2211yescharacteristic
55C23×C8×C17C2211yescharacteristic
56C2×C17×#106C2211yescharacteristic
57C2×C17×#106C2211yescharacteristic
58C17×#380C2211yescharacteristic
59C17×#380C2211yescharacteristic
60C17×#340C2211yescharacteristic
61C17×#340C2211yescharacteristic
62C23×C4×C17C2311yescharacteristic
63C22×C22⋊D17—21no—
64C23×Dic17D411yescharacteristic
65C23×Dic17D411yescharacteristic
66C22×D68C2311yescharacteristic
67C22×C4×D17—21no—
68C22×Dic34C2311yescharacteristic
69C22×C8×C17—22no—
70C22×C8×C17—22no—
71C22×C8×C17C2×C414yescomplemented
72C22×C8×C17C2311yescharacteristic
73C22×C8×C17C2311yescharacteristic
74C2×C4⋊C4×C17C2311yescharacteristic
75C2×C4⋊C4×C17C2311yescharacteristic
76C2×C4⋊C4×C17C2311yescharacteristic
77C2×C4⋊C4×C17C2311yescharacteristic
78C2×C22⋊C4×C17—21no—
79C2×C22⋊C4×C17—21no—
80C2×C22⋊Dic17—21no—
81#10587616—22no—
82#10587616C2×C414yes—
83C2×#63227—21no—
84C2×#63227—21no—
85C2×#63227—21no—
86C2×#63227—21no—
87C2×C4⋊Dic17C2311yescharacteristic
88C2×C4⋊Dic17C2311yescharacteristic
89#10587610—22no—
90#10587610C2×C414yescomplemented
91C2×#63225—21no—
92C2×#63225—21no—
93C2×#63225—21no—
94C2×#63225—21no—
95C2×C4×Dic17—22no—
96C2×C4×Dic17—22no—
97C2×C4×Dic17—21no—
98C2×C4×Dic17—21no—
99C2×C4×Dic17—21no—
100C2×C4×Dic17D411yescharacteristic
101C2×C4×Dic17D411yescharacteristic
102C2×C4×Dic17C2311yescharacteristic
103C2×C4×Dic17C2311yescharacteristic
104C22×#3622—22no—
105C22×#3622—22no—
106C22×#3622—22no—
107C22×#3622C2311yescharacteristic
108C22×#3622C2311yescharacteristic
109C2×#63219—22no—
110C2×#63219—22no—
111C2×#63219C2×C414yescomplemented
112#10587579—22no—
113#10587579—22no—
114#10587573—22no—
115#10587573—22no—
116#10587567—44no—
117C17×#106—22no—
118C17×#106—22no—
119C17×#95—21no—
120C17×#95—21no—
121#10587502—21no—
122#10587502—21no—
123#10587502—21no—
124#10587502—21no—
125#10587502—21no—
126#10587502—21no—
127#10587492C2×C414yescomplemented
128#10587488C2×C414yescomplemented
129#10587487C2×C414yescomplemented
130C8×Dic17—22no—
131C8×Dic17—22no—
132C8×Dic17—22no—
133C8×Dic17D414yescomplemented
134#10587481—22no—
135#10587481—22no—
136#10587480—22no—
137#10587480—22no—
138C24×C17C2×D411yescharacteristic
139C23×D17—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—21no—
147C22×C4×C17—21no—
148C22×C4×C17C22×C412yes—
149C22×C4×C17C2×D411yescharacteristic
150C22×C4×C17#4112yes—
151C22×C4×C17C2411yescharacteristic
152C2×C22⋊D17—24no—
153C2×C22⋊D17—42no—
154C2×C22⋊D17—42no—
155C22×Dic17—22no—
156C22×Dic17—22no—
157C22×Dic17—22no—
158C22×Dic17—22no—
159C22×Dic17—22no—
160C22×Dic17—21no—
161C22×Dic17—21no—
162C22×Dic17—21no—
163C22×Dic17SD1614yescomplemented
164C22×Dic17C2×D411yescharacteristic
165C22×Dic17C2×D411yescharacteristic
166C22×Dic17C2×D411yescharacteristic
167C22×Dic17C2×D411yescharacteristic
168C2×D68—21no—
169C2×D68—21no—
170C2×D68—21no—
171C2×D68—21no—
172C2×D68—21no—
173C2×D68C22×C412yes—
174C2×C4×D17—42no—
175C2×C4×D17—42no—
176C2×C4×D17—42no—
177C2×Dic34—21no—
178C2×Dic34—21no—
179C2×Dic34—21no—
180C2×Dic34—21no—
181C2×Dic34—21no—
182C2×Dic34C22×C412yes—
183C2×C8×C17—21no—
184C2×C8×C17—21no—
185C2×C8×C17—28no—
186C2×C8×C17C22×C412yes—
187C2×C8×C17C22×C412yes—
188C2×C8×C17C2×D412yes—
189C2×C8×C17#4112yes—
190C4⋊C4×C17—21no—
191C4⋊C4×C17—21no—
192C4⋊C4×C17—21no—
193C4⋊C4×C17—21no—
194C4⋊C4×C17—21no—
195C4⋊C4×C17—21no—
196C4⋊C4×C17—21no—
197C4⋊C4×C17—21no—
198C22⋊C4×C17—42no—
199C22⋊C4×C17—42no—
200C22⋊Dic17—24no—
201#63227—24no—
202#63227—42no—
203#63227—42no—
204#63227—42no—
205C4⋊Dic17—21no—
206C4⋊Dic17—21no—
207C4⋊Dic17C22×C412yes—
208C4⋊Dic17C22×C412yes—
209#63225—24no—
210#63225—42no—
211#63225—42no—
212#63225—42no—
213C4×Dic17—21no—
214C4×Dic17—21no—
215C4×Dic17—22no—
216C4×Dic17—22no—
217C4×Dic17—42no—
218C4×Dic17—42no—
219C4×Dic17—42no—
220C4×Dic17C2×D412yes—
221C4×Dic17#4112yes—
222C2×#3622—28no—
223C2×#3622—21no—
224C2×#3622—21no—
225C2×#3622—21no—
226C2×#3622—21no—
227C2×#3622C2×D412yes—
228C2×#3622#4112yes—
229#63219—28no—
230C4×#465—171nomaximal, Sylow
231C23×C17—21no—
232C23×C17—21no—
233C23×C17—21no—
234C23×C17—21no—
235C23×C17C4×D412yes—
236C23×C17C2×SD1612yes—
237C23×C17#13512yes—
238C23×C17C22×D411yescharacteristic
239C22×D17—22no—
240C22×D17—41no—
241C22×D17—41no—
242C22×D17—41no—
243C22×D17—41no—
244C22×D17—41no—
245C22×D17—41no—
246C2×C4×C17—21no—
247C2×C4×C17—21no—
248C2×C4×C17—22no—
249C2×C4×C17—22no—
250C2×C4×C17—22no—
251C2×C4×C17—22no—
252C2×C4×C17—41no—
253C2×C4×C17—41no—
254C2×C4×C17—41no—
255C2×C4×C17—41no—
256C2×C4×C17—41no—
257C2×C4×C17—41no—
258C2×C4×C17—41no—
259C2×C4×C17—41no—
260C2×C4×C17—41no—
261C2×C4×C17—41no—
262C2×C4×C17—41no—
263C2×C4×C17—41no—
264C2×C4×C17C4×D412yes—
265C2×C4×C17C23×C411yescharacteristic
266C2×C4×C17C22×D411yescharacteristic
267C2×C4×C17C2×#4111yescharacteristic
268C2×C4×C17C2×#4111yescharacteristic
269C2×C4×C17C2×#4111yescharacteristic
270C2×C4×C17C2×#4111yescharacteristic
271C22⋊D17—48no—
272C2×Dic17—28no—
273C2×Dic17—21no—
274C2×Dic17—21no—
275C2×Dic17—21no—
276C2×Dic17—21no—
277C2×Dic17—21no—
278C2×Dic17—21no—
279C2×Dic17—28no—
280C2×Dic17—22no—
281C2×Dic17—22no—
282C2×Dic17—22no—
283C2×Dic17—41no—
284C2×Dic17—41no—
285C2×Dic17—41no—
286C2×Dic17—41no—
287C2×Dic17—41no—
288C2×Dic17—41no—
289C2×Dic17#12112yes—
290C2×Dic17#12112yes—
291C2×Dic17C2×SD1612yes—
292C2×Dic17C2×SD1612yes—
293C2×Dic17#13512yes—
294C2×Dic17#13512yes—
295D68—22no—
296D68—22no—
297D68—41no—
298D68—41no—
299C4×D17—84no—
300Dic34—22no—
301Dic34—22no—
302Dic34—41no—
303Dic34—41no—
304C8×C17—22no—
305C8×C17C4×D414yescomplemented
306#3622—22no—
307#3622—22no—
308C2×#465—171no—
309C2×C4×SD16—171no—
310C22×C4×C8—171no—
311C4×C22⋊Q8—171no—
312C4×#121—171no—
313#1968—171no—
314#1941—171no—
315#1934—171no—
316#1933—171no—
317#1893—171no—
318#1892—171no—
319#1807D1711yescharacteristic, complemented
320C4×#106—171no—
321C4×#103—171no—
322C4×#102—171no—
323C22×C17—22no—
324C22×C17—22no—
325C22×C17—22no—
326C22×C17—22no—
327C22×C17—22no—
328C22×C17—22no—
329C22×C17C4×SD1614yescomplemented
330C22×C17C2×C4×D411yescharacteristic
331C22×C17C2×#12111yescharacteristic
332C22×C17#53211yescharacteristic
333C22×C17C22×SD1611yescharacteristic
334C22×C17C2×#13511yescharacteristic
335C22×C17C2×#13511yescharacteristic
336C22×C17C2×#13511yescharacteristic
337C2×D17—42no—
338C2×D17—42no—
339C2×D17—42no—
340C2×D17—81no—
341C2×D17—81no—
342C2×D17—81no—
343C2×D17—81no—
344C4×C17—22no—
345C4×C17—81no—
346C4×C17—81no—
347C4×C17—81no—
348C4×C17—81no—
349C4×C17C2×C4×D411yescharacteristic
350C4×C17C4×#4111yescharacteristic
351C4×C17#52511yescharacteristic
352C4×C17#52911yescharacteristic
353Dic17—22no—
354Dic17—22no—
355Dic17—22no—
356Dic17—42no—
357Dic17—42no—
358Dic17—42no—
359Dic17#46514yescomplemented
360C22×SD16—171no—
361C23×C8—171no—
362C23×C8C2×D1711yescharacteristic
363C2×C22⋊Q8—171no—
364C2×#121—171no—
365C2×C4×Q8—171no—
366C2×C4×D4—171no—
367C2×C4×D4—341no—
368C22×C42—171no—
369#465—178no—
370C4×SD16—344no—
371C2×#106—171no—
372C2×#106C2×D1711yescharacteristic
373C2×#106C2×D1711yescharacteristic
374C2×#103—171no—
375C2×#103—171no—
376C2×#103—171no—
377C2×#102—171no—
378C2×#102—171no—
379C2×#102—171no—
380C2×C4×C8—171no—
381C2×C4×C8—171no—
382C2×C4×C8—171no—
383C2×C4×C8—171no—
384C2×C4×C8—344no—
385#391—171no—
386#390—171no—
387#389—171no—
388#389—171no—
389#388—341no—
390#387—341no—
391#386—341no—
392#385—341no—
393#380C2×D1711yescharacteristic
394#380C2×D1711yescharacteristic
395C4×C4⋊C4—171no—
396C4×C4⋊C4—171no—
397C4×C4⋊C4—341no—
398C4×C22⋊C4—341no—
399C4×C22⋊C4—341no—
400#340—171no—
401#340—171no—
402#340—171no—
403#340—171no—
404#340C2×D1711yescharacteristic
405#340C2×D1711yescharacteristic
406C2×C17—24no—
407C2×C17C4×#12111yescharacteristic
408C2×C17C2×C4×SD1611yescharacteristic
409C2×C17C4×#13511yescharacteristic
410C2×C17C2×#46511yescharacteristic
411C2×C17#305011yescharacteristic
412C2×C17#316711yescharacteristic
413C2×C17#316811yescharacteristic
414D17—82no—
415C22×Q8—171no—
416C22×D4—171no—
417C22×D4—341no—
418C23×C4—171no—
419C23×C4—171no—
420C23×C4—341no—
421C23×C4C22×D1711yescharacteristic
422C2×SD16—174no—
423C2×SD16—342no—
424C2×SD16—342no—
425C22×C8—22no—
426C22×C8—22no—
427C22×C8—171no—
428C22×C8—171no—
429C22×C8—342no—
430C22×C8—342no—
431C22×C8—342no—
432C22×C8C4×D1714yescomplemented
433C22×C8C22×D1711yescharacteristic
434C22×C8C22×D1711yescharacteristic
435C22⋊Q8—174no—
436C22⋊Q8—342no—
437#121—174no—
438#121—342no—
439C4×Q8—342no—
440C4×Q8—342no—
441C4×D4—342no—
442C4×D4—342no—
443C4×D4—684no—
444C2×C4⋊C4—171no—
445C2×C4⋊C4—171no—
446C2×C4⋊C4—341no—
447C2×C4⋊C4—341no—
448C2×C4⋊C4—341no—
449C2×C4⋊C4—341no—
450C2×C4⋊C4C22×D1711yescharacteristic
451C2×C4⋊C4C22×D1711yescharacteristic
452C2×C4⋊C4C22×D1711yescharacteristic
453C2×C4⋊C4C22×D1711yescharacteristic
454C2×C22⋊C4—21no—
455C2×C22⋊C4—21no—
456C2×C22⋊C4—341no—
457C2×C22⋊C4—341no—
458C2×C22⋊C4—341no—
459C2×C22⋊C4—341no—
460C2×C22⋊C4—341no—
461C2×C42—171no—
462C2×C42—171no—
463C2×C42—171no—
464C2×C42—171no—
465C2×C42—342no—
466C2×C42—342no—
467C2×C42—341no—
468C2×C42—341no—
469C2×C42—341no—
470#106—22no—
471#106—22no—
472#106—174no—
473#103—174no—
474#103—342no—
475#103—342no—
476#102—174no—
477#102—342no—
478#102—342no—
479C4×C8—174no—
480C4×C8—342no—
481C4×C8—342no—
482C4×C8—342no—
483#95—21no—
484#95—21no—
485#95—341no—
486#95—341no—
487#95—341no—
488#95—341no—
489#95—341no—
490#95—341no—
491C17C4×#46511yescharacteristic, complemented, Sylow
492C24—341no—
493C24D4×D1711yescharacteristic
494C2×Q8—172no—
495C2×Q8—341no—
496C2×Q8—341no—
497C2×Q8—341no—
498C2×Q8—341no—
499C2×Q8—341no—
500C2×D4—172no—
501C2×D4—344no—
502C2×D4—341no—
503C2×D4—341no—
504C2×D4—341no—
505C2×D4—341no—
506C2×D4—341no—
507C2×D4—682no—
508C2×D4—682no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—171no—
518C22×C4—171no—
519C22×C4—171no—
520C22×C4—171no—
521C22×C4—174no—
522C22×C4—342no—
523C22×C4—342no—
524C22×C4—342no—
525C22×C4—342no—
526C22×C4—342no—
527C22×C4—341no—
528C22×C4—341no—
529C22×C4—341no—
530C22×C4—682no—
531C22×C4—682no—
532C22×C4—682no—
533C22×C4C2×C4×D1712yes—
534C22×C4D4×D1711yescharacteristic
535C22×C4#6325612yes—
536C22×C4C23×D1711yescharacteristic
537SD16—348no—
538C2×C8—21no—
539C2×C8—21no—
540C2×C8—28no—
541C2×C8—172no—
542C2×C8—172no—
543C2×C8—348no—
544C2×C8—341no—
545C2×C8—341no—
546C2×C8—341no—
547C2×C8—341no—
548C2×C8C2×C4×D1712yes—
549C2×C8C2×C4×D1712yes—
550C2×C8D4×D1712yes—
551C2×C8#6325412yes—
552C4⋊C4—21no—
553C4⋊C4—21no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—21no—
557C4⋊C4—21no—
558C4⋊C4—21no—
559C4⋊C4—21no—
560C4⋊C4—172no—
561C4⋊C4—172no—
562C4⋊C4—341no—
563C4⋊C4—341no—
564C4⋊C4—344no—
565C4⋊C4—682no—
566C4⋊C4—682no—
567C4⋊C4—682no—
568C22⋊C4—42no—
569C22⋊C4—42no—
570C22⋊C4—344no—
571C22⋊C4—344no—
572C22⋊C4—682no—
573C22⋊C4—682no—
574C22⋊C4—682no—
575C42—172no—
576C42—172no—
577C42—342no—
578C42—342no—
579C42—341no—
580C42—341no—
581C42—682no—
582C42—682no—
583C42—682no—
584C23—21no—
585C23—21no—
586C23—21no—
587C23—21no—
588C23—342no—
589C23—681no—
590C23—681no—
591C23—681no—
592C23—681no—
593C23—681no—
594C23—681no—
595C23#1058757912yes—
596C23SD16×D1712yes—
597C23#1058760212yes—
598C23C2×D4×D1711yescharacteristic
599Q8—342no—
600Q8—342no—
601Q8—681no—
602Q8—681no—
603D4—342no—
604D4—342no—
605D4—688no—
606D4—681no—
607D4—681no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—22no—
611C2×C4—22no—
612C2×C4—22no—
613C2×C4—22no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—172no—
627C2×C4—172no—
628C2×C4—172no—
629C2×C4—172no—
630C2×C4—172no—
631C2×C4—172no—
632C2×C4—348no—
633C2×C4—348no—
634C2×C4—341no—
635C2×C4—341no—
636C2×C4—341no—
637C2×C4—341no—
638C2×C4—341no—
639C2×C4—341no—
640C2×C4—342no—
641C2×C4—342no—
642C2×C4—342no—
643C2×C4—681no—
644C2×C4—681no—
645C2×C4—681no—
646C2×C4—681no—
647C2×C4—681no—
648C2×C4—681no—
649C2×C4—1364no—
650C2×C4#1058757912yes—
651C2×C4C22×C4×D1711yescharacteristic
652C2×C4C2×D4×D1711yescharacteristic
653C2×C4C2×#6325411yescharacteristic
654C2×C4C2×#6325611yescharacteristic
655C2×C4#41×D1711yescharacteristic
656C2×C4#41×D1711yescharacteristic
657C8—22no—
658C8—342no—
659C8—342no—
660C8#1058756714yescomplemented
661C22—22no—
662C22—22no—
663C22—22no—
664C22—22no—
665C22—22no—
666C22—22no—
667C22—682no—
668C22—682no—
669C22—682no—
670C22—1361no—
671C22—1361no—
672C22—1361no—
673C22—1361no—
674C22#1176289614yescomplemented
675C22C2×#1058757911yescharacteristic
676C22#121×D1711yescharacteristic
677C22#1176335411yescharacteristic
678C22C2×SD16×D1711yescharacteristic
679C22#135×D1711yescharacteristic
680C22#135×D1711yescharacteristic
681C22C2×#1058760211yescharacteristic
682C4—22no—
683C4—81no—
684C4—81no—
685C4—81no—
686C4—81no—
687C4—174no—
688C4—342no—
689C4—342no—
690C4—342no—
691C4—682no—
692C4—682no—
693C4—682no—
694C4C2×#1058756711yescharacteristic
695C4#1176327711yescharacteristic
696C4#1176332211yescharacteristic
697C4#1176334511yescharacteristic
698C2—24no—
699C2—1362no—
700C2#1453129011yescharacteristic
701C2C2×#1176289611yescharacteristic
702C2#1453755511yescharacteristic
703C2D17×#46511yescharacteristic
704C2#1453836011yescharacteristic
705C2#1453933811yescharacteristic
706C2#1453934711yescharacteristic
subgroupG/H
centerC23C2×D4×D17
commutatorC2×C4×C17C23×C4
FrattiniC22×C4C23×D17
FittingC17×#1807C2
socleC23×C17C22×D4
prime radicalC2×#10587616C22
cosocleC22×C4×C17C24
hypercenter#1807D17
hypocenterC17C4×#465
LCSG ▷ C2×C4×C17 ▷ C2×C17 ▷ C17
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1807

Complements

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

NH ≅ G/Ntype
2. C2×#11762896C2semidirect
3. C22×C8×Dic17C2semidirect
4. #14531312C2semidirect
6. #14529636C2semidirect
7. #14529510C2semidirect
8. #14529465C2semidirect
9. #14529458C2semidirect
11. #14529205C2semidirect
12. #106×Dic17C2semidirect
13. #14528603C2semidirect
14. #14528598C2semidirect
15. C17×#1807C2semidirect
24. #11763038C4semidirect
71. C22×C8×C17C2×C4semidirect
90. #10587610C2×C4semidirect
111. C2×#63219C2×C4semidirect
127. #10587492C2×C4semidirect
128. #10587488C2×C4semidirect
129. #10587487C2×C4semidirect
133. C8×Dic17D4semidirect
163. C22×Dic17SD16semidirect
305. C8×C17C4×D4semidirect
319. #1807D17semidirect
329. C22×C17C4×SD16semidirect
359. Dic17#465semidirect
432. C22×C8C4×D17semidirect
491. C17C4×#465semidirect
660. C8#10587567semidirect
674. C22#11762896semidirect

Maximal subgroups

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

subgroupindex
C2×#117630382
C2×#117628962
C22×C8×Dic172
#145313122
#145312902
#145296362
#145295102
#145294652
#145294582
#145292102
#145292052
#106×Dic172
#145286032
#145285982
C17×#18072
C4×#46517