Finite Group Databasebeta

← #17040802

Subgroups — #17040802

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×#11763040C211yesmaximal, characteristic
2C2×#11762894C211yesmaximal, characteristic, complemented
3C22×C8×Dic17C211yesmaximal, characteristic, complemented
4C22⋊Q8×Dic17C211yesmaximal, characteristic, complemented
5#14531290C211yesmaximal, characteristic
6#14529635C211yesmaximal, characteristic, complemented
7#14529511C211yesmaximal, characteristic, complemented
8#14529468C211yesmaximal, characteristic, complemented
9#14529457C211yesmaximal, characteristic, complemented
10#14529212C211yesmaximal, characteristic
11#14528807C211yesmaximal, characteristic, complemented
12#14528672C211yesmaximal, characteristic, complemented
13#103×Dic17C211yesmaximal, characteristic, complemented
14#14528598C211yesmaximal, characteristic, complemented
15C17×#1892C211yesmaximal, characteristic, complemented
16C22×#63230C2211yescharacteristic
17C23×#3622C2211yescharacteristic
18C2×#10587616C2211yescharacteristic
19C2×Q8×Dic17C2211yescharacteristic
20C2×#10587579C2211yescharacteristic
21C2×#10587567—21no—
22C22×C4×Dic17C2211yescharacteristic
23#11763040C418yescomplemented
24#11762894—24no—
25C2×#10587479C2211yescharacteristic
26C2×#10587479C2211yescharacteristic
27C2×#10587479C2211yescharacteristic
28C2×#10587506C2211yescharacteristic
29C2×#10587492C2211yescharacteristic
30C2×#10587492C2211yescharacteristic
31C2×#10587480C2211yescharacteristic
32C2×C8×Dic17—24no—
33C2×C8×Dic17C2211yescharacteristic
34C2×C8×Dic17C2211yescharacteristic
35C2×C8×Dic17C2211yescharacteristic
36C2×C8×Dic17C2211yescharacteristic
37#11762716C2211yescharacteristic
38#11762710C2211yescharacteristic
39#11762708C2211yescharacteristic
40#11762705C2211yescharacteristic
41#11762698—21no—
42#11762695—21no—
43#11762686—21no—
44#11762684—21no—
45#11762669C2211yescharacteristic
46C4⋊C4×Dic17—21no—
47C4⋊C4×Dic17C2211yescharacteristic
48C4⋊C4×Dic17C2211yescharacteristic
49C22⋊C4×Dic17—21no—
50#11762656—21no—
51#11762572C2211yescharacteristic
52#11762572C2211yescharacteristic
53#11762571C2211yescharacteristic
54#11762571C2211yescharacteristic
55C23×C8×C17C2211yescharacteristic
56C2×C17×C22⋊Q8C2211yescharacteristic
57C2×C17×#103C2211yescharacteristic
58C2×C17×#103C2211yescharacteristic
59C17×#380C2211yescharacteristic
60C17×#340C2211yescharacteristic
61C17×#340C2211yescharacteristic
62C22×Q8×C17C2311yescharacteristic
63C23×C4×C17C2311yescharacteristic
64C22×C22⋊D17—21no—
65C23×Dic17D411yescharacteristic
66C23×Dic17D411yescharacteristic
67C22×D68C2311yescharacteristic
68C22×C4×D17—21no—
69C22×C8×C17—22no—
70C22×C8×C17—22no—
71C22×C8×C17—22no—
72C22×C8×C17C2311yescharacteristic
73C22×C8×C17C2311yescharacteristic
74C17×C22⋊Q8—22no—
75C17×C22⋊Q8C2×C414yescomplemented
76C2×C4⋊C4×C17—21no—
77C2×C4⋊C4×C17C2311yescharacteristic
78C2×C4⋊C4×C17C2311yescharacteristic
79C2×C4⋊C4×C17C2311yescharacteristic
80C2×C22⋊C4×C17—21no—
81C2×C22⋊C4×C17—21no—
82C2×C22⋊Dic17—21no—
83Q8×Dic17—22no—
84Q8×Dic17—22no—
85C2×#63230—22no—
86C2×#63230—22no—
87C2×#63230C2×C414yescomplemented
88#10587616—22no—
89#10587616C2×C414yes—
90C2×#63227—21no—
91C2×#63227—21no—
92C2×#63227—21no—
93C2×#63227—21no—
94C2×C4⋊Dic17—21no—
95C2×C4⋊Dic17—21no—
96C2×C4⋊Dic17C2311yescharacteristic
97C2×C4⋊Dic17C2311yescharacteristic
98C2×C4⋊Dic17C2311yescharacteristic
99C2×#63225—21no—
100C2×C4×Dic17—22no—
101C2×C4×Dic17—22no—
102C2×C4×Dic17—21no—
103C2×C4×Dic17—21no—
104C2×C4×Dic17—21no—
105C2×C4×Dic17D411yescharacteristic
106C2×C4×Dic17D411yescharacteristic
107C2×C4×Dic17C2311yescharacteristic
108C2×C4×Dic17C2311yescharacteristic
109C22×#3622—22no—
110C22×#3622—22no—
111C22×#3622C2×C414yescomplemented
112C22×#3622C2311yescharacteristic
113C22×#3622C2311yescharacteristic
114#10587579—22no—
115#10587579—22no—
116#10587567—44no—
117C17×#103—22no—
118C17×#103—22no—
119C17×#95—21no—
120#10587506C2×C414yescomplemented
121#10587502—21no—
122#10587502—21no—
123#10587502—21no—
124#10587502—21no—
125#10587502—21no—
126#10587502—21no—
127#10587502—21no—
128#10587492—22no—
129#10587492—22no—
130C8×Dic17—22no—
131C8×Dic17—22no—
132C8×Dic17—22no—
133C8×Dic17D414yescomplemented
134#10587480C2×C414yescomplemented
135#10587479—22no—
136#10587479—22no—
137#10587479C2×C414yescomplemented
138C24×C17C2×D411yescharacteristic
139C23×D17—21no—
140C2×Q8×C17—21no—
141C2×Q8×C17—21no—
142C2×Q8×C17—21no—
143C2×Q8×C17—21no—
144C2×Q8×C17—21no—
145C2×Q8×C17C22×C412yes—
146C22×C4×C17—21no—
147C22×C4×C17—21no—
148C22×C4×C17—21no—
149C22×C4×C17—21no—
150C22×C4×C17—21no—
151C22×C4×C17—21no—
152C22×C4×C17—21no—
153C22×C4×C17—21no—
154C22×C4×C17C22×C412yes—
155C22×C4×C17C2×D411yescharacteristic
156C22×C4×C17#4112yes—
157C22×C4×C17C2411yescharacteristic
158C2×C22⋊D17—24no—
159C2×C22⋊D17—42no—
160C2×C22⋊D17—42no—
161C22×Dic17—22no—
162C22×Dic17—22no—
163C22×Dic17—22no—
164C22×Dic17—22no—
165C22×Dic17—22no—
166C22×Dic17—21no—
167C22×Dic17—21no—
168C22×Dic17—21no—
169C22×Dic17SD1614yescomplemented
170C22×Dic17C2×D411yescharacteristic
171C22×Dic17C2×D411yescharacteristic
172C22×Dic17C2×D411yescharacteristic
173C22×Dic17C2×D411yescharacteristic
174C2×D68—21no—
175C2×D68—21no—
176C2×D68—21no—
177C2×D68—21no—
178C2×D68—21no—
179C2×D68C22×C412yes—
180C2×C4×D17—42no—
181C2×C4×D17—42no—
182C2×C4×D17—42no—
183C2×C8×C17—28no—
184C2×C8×C17—21no—
185C2×C8×C17—21no—
186C2×C8×C17—21no—
187C2×C8×C17—21no—
188C2×C8×C17C2×D412yes—
189C2×C8×C17#4112yes—
190C4⋊C4×C17—24no—
191C4⋊C4×C17—21no—
192C4⋊C4×C17—21no—
193C4⋊C4×C17—21no—
194C4⋊C4×C17—21no—
195C4⋊C4×C17—21no—
196C4⋊C4×C17C22×C412yes—
197C22⋊C4×C17—24no—
198C22⋊C4×C17—42no—
199C22⋊Dic17—42no—
200#63230—28no—
201#63227—24no—
202#63227—42no—
203#63227—42no—
204#63227—42no—
205C4⋊Dic17—21no—
206C4⋊Dic17—21no—
207C4⋊Dic17—21no—
208C4⋊Dic17—21no—
209C4⋊Dic17—21no—
210C4⋊Dic17—42no—
211C4⋊Dic17—42no—
212C4⋊Dic17C22×C412yes—
213#63225—42no—
214C4×Dic17—21no—
215C4×Dic17—21no—
216C4×Dic17—22no—
217C4×Dic17—22no—
218C4×Dic17—42no—
219C4×Dic17—42no—
220C4×Dic17—42no—
221C4×Dic17C2×D412yes—
222C4×Dic17#4112yes—
223C2×#3622—21no—
224C2×#3622—21no—
225C2×#3622—28no—
226C2×#3622C22×C412yes—
227C2×#3622C22×C412yes—
228C2×#3622C2×D412yes—
229C2×#3622#4112yes—
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—
246Q8×C17—22no—
247Q8×C17—22no—
248Q8×C17—41no—
249Q8×C17—41no—
250C2×C4×C17—21no—
251C2×C4×C17—21no—
252C2×C4×C17—22no—
253C2×C4×C17—22no—
254C2×C4×C17—22no—
255C2×C4×C17—22no—
256C2×C4×C17—22no—
257C2×C4×C17—22no—
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×C17—41no—
265C2×C4×C17—41no—
266C2×C4×C17—41no—
267C2×C4×C17—41no—
268C2×C4×C17C4×D412yes—
269C2×C4×C17C23×C411yescharacteristic
270C2×C4×C17C22×D411yescharacteristic
271C2×C4×C17C2×#4111yescharacteristic
272C2×C4×C17C2×#4111yescharacteristic
273C2×C4×C17C2×#4111yescharacteristic
274C2×C4×C17C2×#4111yescharacteristic
275C22⋊D17—48no—
276C2×Dic17—28no—
277C2×Dic17—21no—
278C2×Dic17—21no—
279C2×Dic17—21no—
280C2×Dic17—21no—
281C2×Dic17—21no—
282C2×Dic17—21no—
283C2×Dic17—28no—
284C2×Dic17—22no—
285C2×Dic17—41no—
286C2×Dic17—41no—
287C2×Dic17—41no—
288C2×Dic17—41no—
289C2×Dic17—41no—
290C2×Dic17—41no—
291C2×Dic17—41no—
292C2×Dic17—41no—
293C2×Dic17#12112yes—
294C2×Dic17#12112yes—
295C2×Dic17C2×SD1612yes—
296C2×Dic17C2×SD1612yes—
297C2×Dic17#13512yes—
298C2×Dic17#13512yes—
299D68—22no—
300D68—22no—
301D68—41no—
302D68—41no—
303C4×D17—84no—
304C8×C17—22no—
305C8×C17—22no—
306#3622—22no—
307#3622C4×D414yescomplemented
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#1892D1711yescharacteristic, complemented
319#1807—171no—
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—42no—
346C4×C17—42no—
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—81no—
358Dic17—81no—
359Dic17#46514yescomplemented
360C22×SD16—171no—
361C23×C8—171no—
362C23×C8C2×D1711yescharacteristic
363C2×C22⋊Q8C2×D1711yescharacteristic
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×#106—171no—
373C2×#106—171no—
374C2×#103—171no—
375C2×#103C2×D1711yescharacteristic
376C2×#103C2×D1711yescharacteristic
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#380—171no—
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×Q8C22×D1711yescharacteristic
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—22no—
428C22×C8—171no—
429C22×C8—174no—
430C22×C8—171no—
431C22×C8—342no—
432C22×C8—342no—
433C22×C8C22×D1711yescharacteristic
434C22×C8C22×D1711yescharacteristic
435C22⋊Q8—22no—
436C22⋊Q8C4×D1714yescomplemented
437#121—174no—
438#121—342no—
439C4×Q8—342no—
440C4×Q8—342no—
441C4×D4—342no—
442C4×D4—342no—
443C4×D4—684no—
444C2×C4⋊C4—21no—
445C2×C4⋊C4—171no—
446C2×C4⋊C4—171no—
447C2×C4⋊C4—171no—
448C2×C4⋊C4—341no—
449C2×C4⋊C4—341no—
450C2×C4⋊C4—341no—
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—174no—
471#106—342no—
472#106—342no—
473#103—22no—
474#103—22no—
475#103—174no—
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—341no—
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—21no—
495C2×Q8—21no—
496C2×Q8—21no—
497C2×Q8—21no—
498C2×Q8—21no—
499C2×Q8C2×C4×D1712yes—
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#6325412yes—
536C22×C4C23×D1711yescharacteristic
537SD16—348no—
538C2×C8—28no—
539C2×C8—21no—
540C2×C8—21no—
541C2×C8—21no—
542C2×C8—21no—
543C2×C8—172no—
544C2×C8—172no—
545C2×C8—172no—
546C2×C8—172no—
547C2×C8—348no—
548C2×C8—341no—
549C2×C8—341no—
550C2×C8D4×D1712yes—
551C2×C8#6325412yes—
552C4⋊C4—21no—
553C4⋊C4—24no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—21no—
557C4⋊C4—21no—
558C4⋊C4—172no—
559C4⋊C4—341no—
560C4⋊C4—341no—
561C4⋊C4—341no—
562C4⋊C4—341no—
563C4⋊C4—341no—
564C4⋊C4—682no—
565C4⋊C4—682no—
566C4⋊C4—682no—
567C4⋊C4C2×C4×D1712yes—
568C22⋊C4—24no—
569C22⋊C4—42no—
570C22⋊C4—344no—
571C22⋊C4—682no—
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#1058756712yes—
596C23SD16×D1712yes—
597C23#1058760512yes—
598C23C2×D4×D1711yescharacteristic
599Q8—22no—
600Q8—22no—
601Q8—41no—
602Q8—41no—
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—22no—
615C2×C4—22no—
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—681no—
642C2×C4—681no—
643C2×C4—681no—
644C2×C4—681no—
645C2×C4—681no—
646C2×C4—681no—
647C2×C4—681no—
648C2×C4—681no—
649C2×C4—1364no—
650C2×C4#1058756712yes—
651C2×C4C22×C4×D1711yescharacteristic
652C2×C4C2×D4×D1711yescharacteristic
653C2×C4C2×#6325411yescharacteristic
654C2×C4C2×#6325411yescharacteristic
655C2×C4#41×D1711yescharacteristic
656C2×C4#41×D1711yescharacteristic
657C8—22no—
658C8—22no—
659C8—174no—
660C8—342no—
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#1176289414yescomplemented
675C22C2×#1058756711yescharacteristic
676C22#121×D1711yescharacteristic
677C22#1176335411yescharacteristic
678C22C2×SD16×D1711yescharacteristic
679C22#135×D1711yescharacteristic
680C22#135×D1711yescharacteristic
681C22C2×#1058760511yescharacteristic
682C4—22no—
683C4—42no—
684C4—42no—
685C4—81no—
686C4—81no—
687C4—174no—
688C4—342no—
689C4—342no—
690C4—342no—
691C4—682no—
692C4—1361no—
693C4—1361no—
694C4C4×D4×D1711yescharacteristic
695C4C4×#6325411yescharacteristic
696C4#1176331511yescharacteristic
697C4#1176333611yescharacteristic
698C2—24no—
699C2—1362no—
700C2#1453129411yescharacteristic
701C2C2×#1176289411yescharacteristic
702C2#1453755211yescharacteristic
703C2D17×#46511yescharacteristic
704C2#1453836711yescharacteristic
705C2#1453933811yescharacteristic
706C2#1453935511yescharacteristic
subgroupG/H
centerC23C2×D4×D17
commutatorC2×C4×C17C23×C4
FrattiniC22×C4C23×D17
FittingC17×#1892C2
socleC23×C17C22×D4
prime radicalC2×#10587616C22
cosocleC22×C4×C17C24
hypercenter#1892D17
hypocenterC17C4×#465
LCSG ▷ C2×C4×C17 ▷ C2×C17 ▷ C17
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1892

Complements

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

NH ≅ G/Ntype
2. C2×#11762894C2semidirect
3. C22×C8×Dic17C2semidirect
4. C22⋊Q8×Dic17C2semidirect
6. #14529635C2semidirect
7. #14529511C2semidirect
8. #14529468C2semidirect
9. #14529457C2semidirect
11. #14528807C2semidirect
12. #14528672C2semidirect
13. #103×Dic17C2semidirect
14. #14528598C2semidirect
15. C17×#1892C2semidirect
23. #11763040C4semidirect
75. C17×C22⋊Q8C2×C4semidirect
87. C2×#63230C2×C4semidirect
111. C22×#3622C2×C4semidirect
120. #10587506C2×C4semidirect
133. C8×Dic17D4semidirect
134. #10587480C2×C4semidirect
137. #10587479C2×C4semidirect
169. C22×Dic17SD16semidirect
307. #3622C4×D4semidirect
318. #1892D17semidirect
329. C22×C17C4×SD16semidirect
359. Dic17#465semidirect
436. C22⋊Q8C4×D17semidirect
491. C17C4×#465semidirect
674. C22#11762894semidirect

Maximal subgroups

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

subgroupindex
C2×#117630402
C2×#117628942
C22×C8×Dic172
C22⋊Q8×Dic172
#145312902
#145296352
#145295112
#145294682
#145294572
#145292122
#145288072
#145286722
#103×Dic172
#145285982
C17×#18922
C4×#46517