Finite Group Databasebeta

← #17898550

Subgroups — #17898550

Order 4352.

2742 conjugacy classes of subgroups.

The subgroup lattice has 680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11763617C211yesmaximal, characteristic
22−1+4×Dic17C211yesmaximal, characteristic, complemented
3#14541990C211yesmaximal, characteristic, complemented
4#14537663C213yesmaximal, complemented
5#14537639C213yesmaximal, complemented
6#14537621C213yesmaximal, complemented
7#14537619C213yesmaximal, complemented
8#14537599C213yesmaximal, complemented
9#14537597C213yesmaximal, complemented
10#14537552C213yesmaximal, complemented
11C2×#11762894C213yesmaximal, complemented
12#14537377C211yesmaximal, characteristic, complemented
13#14537311C211yesmaximal, characteristic, complemented
14#131×Dic17C211yesmaximal, characteristic, complemented
15C17×#2898C211yesmaximal, characteristic, complemented
16C2×#10587696C2211yescharacteristic
17#11763617C4116yescomplemented
18C2×#10587628C2213yes—
19C2×#10587635C2213yes—
20C2×#10587636C2213yes—
21C22×#63230C2213yes—
22C2×#10587634C2211yescharacteristic
23#11763292—23no—
24#11763292C2211yescharacteristic
25#11763292C2213yescomplemented
26#11763291—21no—
27#11763290C2213yes—
28#11763287—21no—
29#11763287C2213yescomplemented
30#11763283C2213yes—
31#11763281—23no—
32#41×Dic17—23no—
33#41×Dic17C2211yescharacteristic
34#41×Dic17C2213yescomplemented
35C4×#63256—21no—
36#11763277C2213yes—
37C2×Q8×Dic17—21no—
38C2×Q8×Dic17C2213yescomplemented
39C2×#10587579C2213yes—
40C4×D4×D17—23no—
41#11762918C2216yescomplemented
42#11762913C2216yescomplemented
43#11762912C2216yescomplemented
44#11762912C2216yescomplemented
45#11762901C2213yescomplemented
46#11762901C2213yescomplemented
47#11762900C2211yescharacteristic, complemented
48#11762900C2213yescomplemented
49#11762894C2213yescomplemented
50#11762894C2216yescomplemented
51#11762894C2216yescomplemented
52#11762894C2216yescomplemented
53#11762894C2213yescomplemented
54#11762889C2213yescomplemented
55#11762889C2213yescomplemented
56#11762852C2213yescomplemented
57#11762849C2213yescomplemented
58#11762845C2213yescomplemented
59C2×#10587479C2213yescomplemented
60#11762815C2213yes—
61#11762811C2213yes—
62#11762806C2213yes—
63C2×#10587492C2213yes—
64#11762767C2213yescomplemented
65#11762764C2213yescomplemented
66M16×Dic17C2213yescomplemented
67C2×C8×Dic17C2213yescomplemented
68C2×C17×2−1+4C2211yescharacteristic
69C2×C17×#131C2211yescharacteristic
70C17×#520C2211yescharacteristic
71C17×#419C2213yescomplemented
72C17×#417C2213yescomplemented
73C17×#416C2213yescomplemented
74C2×C17×#103C2213yescomplemented
75C17×2−1+4—24no—
76C17×2−1+4C2×C418yescomplemented
77C2×#41×C17—23no—
78C2×#41×C17C2313yes—
79C2×#41×C17C2311yescharacteristic
80C22×Q8×C17—21no—
81C22×Q8×C17C2313yes—
82#10587696—24no—
83#10587696C2×C418yescomplemented
84C2×#63256—21no—
85C2×D4×D17—23no—
86C2×#63252C2313yes—
87C22×D68C2313yes—
88C22×C4×D17—23no—
89C17×#131—24no—
90C2×M16×C17C2313yes—
91C22×C8×C17C2313yes—
92C4×Q8×C17—21no—
93C4×D4×C17—23no—
94C17×#117C2313yes—
95C2×C4⋊C4×C17C2313yes—
96#10587636C2×C4124yescomplemented
97#10587635C2×C4124yescomplemented
98#10587634C2×C418yescomplemented
99Q8×Dic17—23no—
100Q8×Dic17—23no—
101Q8×Dic17—23no—
102Q8×Dic17—23no—
103Q8×Dic17—21no—
104Q8×Dic17D411yescharacteristic
105Q8×Dic17D411yescharacteristic
106Q8×Dic17C2313yes—
107Q8×Dic17C2316yes—
108Q8×Dic17C2313yes—
109C2×#63231C2313yes—
110#10587628C2×C4124yescomplemented
111C2×#63230C2×C4124yescomplemented
112C2×#63230C2313yes—
113C2×#63230C2316yes—
114D4×Dic17—23no—
115D4×Dic17—23no—
116D4×Dic17—23no—
117D4×Dic17—26no—
118D4×Dic17D413yes—
119D4×Dic17D413yes—
120D4×Dic17C2311yescharacteristic
121D4×Dic17C2313yes—
122C2×#63229C2311yescharacteristic
123C2×#63228C2313yes—
124C4×C22⋊D17—26no—
125C2×#63227—23no—
126#10587612—23no—
127#10587612—23no—
128#10587612—26no—
129#10587612C2313yes—
130#10587612C2313yes—
131C2×C4⋊Dic17—23no—
132C2×C4⋊Dic17—23no—
133C2×C4⋊Dic17C2313yes—
134C2×C4×Dic17—23no—
135C2×C4×Dic17—23no—
136C2×C4×Dic17C2313yes—
137C2×#63223C2313yes—
138C22×#3622C2313yes—
139#10587579—23no—
140#10587579—23no—
141#10587579C2313yes—
142#10587579C2316yes—
143#10587579C2313yes—
144#10587578—23no—
145C4⋊C4×D17—23no—
146#10587573C2311yescharacteristic
147#10587573C2313yes—
148#10587567—23no—
149#10587567—23no—
150C22⋊C4×D17—26no—
151C4×D68—23no—
152C4×D68—23no—
153#10587558—23no—
154C42×D17—23no—
155C17×#103C2313yes—
156C17×#103C2316yes—
157C17×#103C2313yes—
158C17×#102C2311yescharacteristic
159C17×#102C2313yes—
160#10587492C2313yes—
161#10587492C2316yes—
162#10587492C2313yes—
163#10587487C2311yescharacteristic
164#10587487C2313yes—
165#10587486C2316yes—
166C8×Dic17C2311yescharacteristic
167C8×Dic17C2313yes—
168C8×Dic17C2313yes—
169C8×Dic17C2313yes—
170#10587479C2313yes—
171#10587479C2316yes—
172#10587479C2311yescharacteristic
173#10587478C2313yes—
174#10587478C2313yes—
175C23×D17—23no—
176#41×C17—224no—
177#41×C17—26no—
178#41×C17C22×C414yes—
179#41×C17C22×C4112yescomplemented
180#41×C17#4114yes—
181C2×Q8×C17—28no—
182C2×Q8×C17—23no—
183C2×Q8×C17—26no—
184C2×Q8×C17C22×C4112yescomplemented
185C2×Q8×C17C2×D411yescharacteristic
186C2×Q8×C17C2413yes—
187C2×D4×C17—23no—
188C2×D4×C17C2×D413yes—
189C2×D4×C17C2411yescharacteristic
190C22×C4×C17—23no—
191C22×C4×C17—23no—
192C22×C4×C17—23no—
193C22×C4×C17C2413yes—
194C2×C22⋊D17—23no—
195C22×Dic17—23no—
196C22×Dic17—21no—
197C22×Dic17—23no—
198C22×Dic17C2×D413yes—
199C22×Dic17C2×D413yes—
200#63256—28no—
201D4×D17—224no—
202#63252—26no—
203#63252C22×C4112yes—
204C2×D68—23no—
205C2×D68—26no—
206C2×D68C22×C4112yes—
207C2×D68C2413yes—
208C2×C4×D17—23no—
209C2×C4×D17—23no—
210C2×C4×D17—26no—
211C2×C4×D17—23no—
212C2×C4×D17—86no—
213C2×Dic34C2411yescharacteristic
214M16×C17—26no—
215C2×C8×C17—26no—
216C2×C8×C17C2411yescharacteristic
217C2×C8×C17C2413yes—
218C4⋊C4×C17—23no—
219C4⋊C4×C17C2411yescharacteristic
220C4⋊C4×C17C2413yes—
221C22⋊C4×C17—23no—
222C42×C17—23no—
223C22⋊Dic17—23no—
224C22⋊Dic17—21no—
225C22⋊Dic17—23no—
226C22⋊Dic17C2×D416yes—
227#63231C22×C4112yescomplemented
228#63230C22×C4112yescomplemented
229#63230C22×C4124yescomplemented
230#63229C22×C414yescomplemented
231#63228C22×C4112yescomplemented
232#63227—23no—
233#63227—23no—
234#63227—26no—
235C4⋊Dic17—23no—
236C4⋊Dic17—23no—
237C4⋊Dic17—26no—
238C4⋊Dic17—23no—
239C4⋊Dic17C2×D413yes—
240C4⋊Dic17C2×D413yes—
241C4⋊Dic17C2411yescharacteristic
242C4⋊Dic17C2413yes—
243#63225—21no—
244#63225—23no—
245C4×Dic17—23no—
246C4×Dic17—21no—
247C4×Dic17—23no—
248C4×Dic17—23no—
249C4×Dic17—23no—
250C4×Dic17—26no—
251C4×Dic17C2×D413yes—
252C4×Dic17C2×D413yes—
253C4×Dic17C2411yescharacteristic
254C4×Dic17C2413yes—
255#63223C22×C4112yescomplemented
256C2×#3622C22×C4112yescomplemented
257C2×#3622C2413yes—
258C2×#3622C2411yescharacteristic
259C4×#577—171nomaximal, Sylow
260C23×C17—21no—
261C23×C17C22×D413yes—
262C22×D17—23no—
263C22×D17—212no—
264C22×D17—83no—
265C22×D17—83no—
266Q8×C17—212no—
267Q8×C17—23no—
268Q8×C17C4×D414yes—
269Q8×C17C23×C416yes—
270D4×C17—212no—
271D4×C17—21no—
272D4×C17C4×D4112yes—
273D4×C17C23×C412yes—
274C2×C4×C17—212no—
275C2×C4×C17—23no—
276C2×C4×C17—212no—
277C2×C4×C17—21no—
278C2×C4×C17—23no—
279C2×C4×C17—83no—
280C2×C4×C17C23×C416yes—
281C2×C4×C17C22×D413yes—
282C2×C4×C17C2×#4116yes—
283C2×C4×C17C2511yescharacteristic
284C22⋊D17—212no—
285C2×Dic17—21no—
286C2×Dic17—26no—
287C2×Dic17—21no—
288C2×Dic17—23no—
289C2×Dic17—43no—
290C2×Dic17—42no—
291C2×Dic17—83no—
292C2×Dic17—83no—
293C2×Dic17C22×D413yes—
294C2×Dic17C22×D411yescharacteristic
295C2×Dic17C22×D413yes—
296C2×Dic17C22×D411yescharacteristic
297D68—212no—
298D68—23no—
299D68C23×C416yes—
300C4×D17—212no—
301C4×D17—46no—
302C4×D17—83no—
303C4×D17—86no—
304Dic34—21no—
305Dic34C23×C412yes—
306C8×C17—21no—
307C8×C17—23no—
308#3622C23×C412yes—
309#3622C23×C416yes—
310C2×#577—171no—
311C4×2−1+4—171no—
312C4×H(5,𝔽2)—171no—
313#2952—173no—
314#2949—173no—
315#2947—173no—
316#2946—173no—
317C4×#137—173no—
318C4×AGL(1,ℤ/8)—173no—
319C4×#135—173no—
320C2×C4×SD16—173no—
321#2912—171no—
322#2898D1711yescharacteristic, complemented
323#2897—171no—
324C4×#131—171no—
325C22×C17—23no—
326C22×C17—23no—
327C22×C17—22no—
328C22×C17—41no—
329C22×C17—41no—
330C22×C17C2×C4×D416yes—
331C22×C17C23×D411yescharacteristic
332C2×D17—26no—
333C2×D17—43no—
334C2×D17—43no—
335C2×D17—812no—
336C4×C17—26no—
337C4×C17—41no—
338C4×C17—43no—
339C4×C17C2×C4×D416yes—
340C4×C17C24×C411yescharacteristic
341C4×C17C22×#4111yescharacteristic
342Dic17—23no—
343Dic17—21no—
344Dic17—22no—
345Dic17—23no—
346Dic17—43no—
347Dic17—41no—
348Dic17#57712yescomplemented
349C2×2−1+4C2×D1711yescharacteristic
350C2×H(5,𝔽2)—171no—
351#577—1716no—
352C2×#137—173no—
353C2×AGL(1,ℤ/8)—173no—
354C2×#135—173no—
355C22×SD16—173no—
356C2×#131—171no—
357C2×#131C2×D1711yescharacteristic
358#520—171no—
359#520—173no—
360#520—173no—
361#520—343no—
362#520—341no—
363#520C2×D1711yescharacteristic
364#519—173no—
365#519—341no—
366#518—173no—
367#518—343no—
368C4×#41—171no—
369C4×#41—173no—
370C4×#41—173no—
371C4×#41—343no—
372C4×#41—341no—
373C2×C4×Q8—173no—
374C2×C4×Q8—341no—
375C2×C4×D4—173no—
376C2×C4×D4—343no—
377#442—176no—
378#441—176no—
379#440—176no—
380#440—176no—
381C4×Q16—173no—
382C4×Q16—173no—
383C4×SD16—173no—
384C4×SD16—176no—
385C4×SD16—176no—
386C4×SD16—176no—
387C4×SD16—173no—
388C4×SD16—171no—
389C4×SD16—173no—
390C4×D8—173no—
391C4×D8—173no—
392#428—173no—
393#428—173no—
394#427—173no—
395C2×#106—173no—
396#419C2×D1713yescomplemented
397#418—173no—
398#417—173no—
399#417C2×D1713yescomplemented
400#416—173no—
401#416C2×D1713yescomplemented
402C2×#103C2×D1713yescomplemented
403C2×#102—173no—
404#405—173no—
405#405—173no—
406C4×M16—173no—
407C2×C4×C8—173no—
408C2×C17—26no—
409C2×C17—42no—
410C2×C17C22×C4×D411yescharacteristic
411C2×C17C2×#57711yescharacteristic
412C2×C17#358411yescharacteristic
413D17—46no—
4142−1+4—24no—
4152−1+4C4×D1718yescomplemented
416H(5,𝔽2)—178no—
417H(5,𝔽2)—344no—
418C2×#41—23no—
419C2×#41—173no—
420C2×#41—341no—
421C2×#41C22×D1713yes—
422C2×#41C22×D1711yescharacteristic
423C22×Q8—21no—
424C22×Q8C22×D1713yes—
425C22×D4—173no—
426C22×D4—343no—
427C23×C4—343no—
428#137—1724no—
429AGL(1,ℤ/8)—1724no—
430#135—1724no—
431C2×Q16—173no—
432C2×SD16—1724no—
433C2×SD16—173no—
434C2×SD16—176no—
435C2×SD16—171no—
436C2×D8—173no—
437#131—24no—
438#131—178no—
439C2×M16—173no—
440C2×M16C22×D1713yes—
441C22×C8—173no—
442C22×C8C22×D1713yes—
443C4×Q8—21no—
444C4×Q8—171no—
445C4×Q8—171no—
446C4×Q8—173no—
447C4×Q8—176no—
448C4×Q8—173no—
449C4×Q8—171no—
450C4×Q8—173no—
451C4×Q8—343no—
452C4×Q8—343no—
453C4×Q8—343no—
454C4×Q8—343no—
455C4×Q8—341no—
456C4×D4—23no—
457C4×D4—173no—
458C4×D4—173no—
459C4×D4—171no—
460C4×D4—173no—
461C4×D4—173no—
462C4×D4—176no—
463C4×D4—173no—
464C4×D4—343no—
465C4×D4—343no—
466C4×D4—343no—
467C4×D4—343no—
468C4×D4—343no—
469C4×D4—343no—
470C4×D4—346no—
471C4×D4—346no—
472C4×D4—343no—
473C4×D4—343no—
474C4×D4—343no—
475#117—173no—
476#117—173no—
477#117—343no—
478#117—343no—
479#117—346no—
480#117—343no—
481#117—343no—
482#117C22×D1713yes—
483C2×C4⋊C4—173no—
484C2×C4⋊C4—343no—
485C2×C4⋊C4—343no—
486C2×C4⋊C4—343no—
487C2×C4⋊C4C22×D1713yes—
488C2×C22⋊C4—346no—
489C2×C22⋊C4—343no—
490C2×C42—173no—
491C2×C42—343no—
492C2×C42—343no—
493C2×C42—343no—
494#107—173no—
495#107—173no—
496#106—173no—
497#106—176no—
498#106—171no—
499#103—171no—
500#103—173no—
501#103C22×D1713yes—
502#103C22×D1716yes—
503#103C22×D1713yes—
504#102—173no—
505#102—176no—
506#102—173no—
507#102C22×D1711yescharacteristic
508#102C22×D1713yes—
509#97—176no—
510C4×C8—171no—
511C4×C8—173no—
512C4×C8—173no—
513C4×C8—173no—
514C17C4×#57711yescharacteristic, complemented, Sylow
515C24—343no—
516#41—224no—
517#41—26no—
518#41—1712no—
519#41—348no—
520#41—346no—
521#41C2×C4×D1714yes—
522#41C2×C4×D17112yescomplemented
523#41#6325414yes—
524C2×Q8—28no—
525C2×Q8—23no—
526C2×Q8—26no—
527C2×Q8—171no—
528C2×Q8C2×C4×D17112yescomplemented
529C2×Q8D4×D1711yescharacteristic
530C2×Q8C23×D1713yes—
531C2×D4—23no—
532C2×D4—1712no—
533C2×D4—173no—
534C2×D4—343no—
535C2×D4—3424no—
536C2×D4—343no—
537C2×D4—346no—
538C2×D4D4×D1713yes—
539C2×D4C23×D1711yescharacteristic
540C22×C4—23no—
541C22×C4—23no—
542C22×C4—23no—
543C22×C4—173no—
544C22×C4—173no—
545C22×C4—343no—
546C22×C4—343no—
547C22×C4—346no—
548C22×C4—341no—
549C22×C4—343no—
550C22×C4—343no—
551C22×C4—343no—
552C22×C4—1366no—
553C22×C4C23×D1713yes—
554Q16—1712no—
555SD16—1712no—
556SD16—1724no—
557SD16—174no—
558D8—1712no—
559M16—26no—
560M16—1712no—
561C2×C8—26no—
562C2×C8—1712no—
563C2×C8—171no—
564C2×C8—173no—
565C2×C8C23×D1711yescharacteristic
566C2×C8C23×D1713yes—
567C4⋊C4—23no—
568C4⋊C4—173no—
569C4⋊C4—173no—
570C4⋊C4—173no—
571C4⋊C4—171no—
572C4⋊C4—343no—
573C4⋊C4—343no—
574C4⋊C4—346no—
575C4⋊C4—341no—
576C4⋊C4—343no—
577C4⋊C4—343no—
578C4⋊C4C23×D1713yes—
579C4⋊C4C23×D1711yescharacteristic
580C22⋊C4—23no—
581C22⋊C4—176no—
582C22⋊C4—343no—
583C22⋊C4—343no—
584C22⋊C4—346no—
585C22⋊C4—341no—
586C22⋊C4—343no—
587C22⋊C4—343no—
588C42—23no—
589C42—173no—
590C42—173no—
591C42—171no—
592C42—173no—
593C42—341no—
594C42—343no—
595C42—343no—
596C42—343no—
597C42—346no—
598C42—343no—
599C23—21no—
600C23—343no—
601C23—3412no—
602C23—1363no—
603C23—1363no—
604C23C2×D4×D1713yes—
605Q8—212no—
606Q8—23no—
607Q8—172no—
608Q8—341no—
609Q8#1058756714yes—
610Q8C22×C4×D1716yes—
611D4—212no—
612D4—21no—
613D4—176no—
614D4—3412no—
615D4—3412no—
616D4—343no—
617D4#10587567112yes—
618D4C22×C4×D1712yes—
619C2×C4—212no—
620C2×C4—23no—
621C2×C4—212no—
622C2×C4—21no—
623C2×C4—23no—
624C2×C4—83no—
625C2×C4—171no—
626C2×C4—171no—
627C2×C4—173no—
628C2×C4—173no—
629C2×C4—346no—
630C2×C4—341no—
631C2×C4—3412no—
632C2×C4—341no—
633C2×C4—343no—
634C2×C4—686no—
635C2×C4—682no—
636C2×C4—683no—
637C2×C4—1366no—
638C2×C4—1363no—
639C2×C4—1363no—
640C2×C4—1363no—
641C2×C4C22×C4×D1716yes—
642C2×C4C2×D4×D1713yes—
643C2×C4C2×#6325416yes—
644C2×C4C24×D1711yescharacteristic
645C8—21no—
646C8—23no—
647C8—172no—
648C8—176no—
649C22—23no—
650C22—23no—
651C22—22no—
652C22—41no—
653C22—41no—
654C22—346no—
655C22—683no—
656C22—683no—
657C22—13612no—
658C22C2×#1058756716yes—
659C22C22×D4×D1711yescharacteristic
660C4—26no—
661C4—43no—
662C4—41no—
663C4—172no—
664C4—342no—
665C4—343no—
666C4—341no—
667C4—343no—
668C4—681no—
669C4—683no—
670C4C2×#1058756716yes—
671C4C23×C4×D1711yescharacteristic
672C4C22×#6325411yescharacteristic
673C2—26no—
674C2—42no—
675C2—686no—
676C2C22×#1058756711yescharacteristic
677C2D17×#57711yescharacteristic
678C2#1454355411yescharacteristic
subgroupG/H
centerC22C22×D4×D17
commutatorC4×C17C24×C4
FrattiniC2×C4C24×D17
FittingC17×#2898C2
socleC22×C17C23×D4
prime radicalC2×#11763617C2
cosocleC2×C4×C17C25
hypercenter#2898D17
hypocenterC17C4×#577
LCSG ▷ C4×C17 ▷ C2×C17 ▷ C17
UCSC1 ◁ C22 ◁ C2×#41 ◁ #2898

Complements

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

NH ≅ G/Ntype
2. 2−1+4×Dic17C2semidirect
3. #14541990C2semidirect
4. #14537663C2semidirect
5. #14537639C2semidirect
6. #14537621C2semidirect
7. #14537619C2semidirect
8. #14537599C2semidirect
9. #14537597C2semidirect
10. #14537552C2semidirect
11. C2×#11762894C2semidirect
12. #14537377C2semidirect
13. #14537311C2semidirect
14. #131×Dic17C2semidirect
15. C17×#2898C2semidirect
17. #11763617C4semidirect
25. #11763292C22semidirect
29. #11763287C22semidirect
34. #41×Dic17C22semidirect
38. C2×Q8×Dic17C22semidirect
41. #11762918C22semidirect
42. #11762913C22semidirect
43. #11762912C22semidirect
44. #11762912C22semidirect
45. #11762901C22semidirect
46. #11762901C22semidirect
47. #11762900C22semidirect
48. #11762900C22semidirect
49. #11762894C22semidirect
50. #11762894C22semidirect
51. #11762894C22semidirect
52. #11762894C22semidirect
53. #11762894C22semidirect
54. #11762889C22semidirect
55. #11762889C22semidirect
56. #11762852C22semidirect
57. #11762849C22semidirect
58. #11762845C22semidirect
59. C2×#10587479C22semidirect
64. #11762767C22semidirect
65. #11762764C22semidirect
66. M16×Dic17C22semidirect
67. C2×C8×Dic17C22semidirect
71. C17×#419C22semidirect
72. C17×#417C22semidirect
73. C17×#416C22semidirect
74. C2×C17×#103C22semidirect
76. C17×2−1+4C2×C4semidirect
83. #10587696C2×C4semidirect
96. #10587636C2×C4semidirect
97. #10587635C2×C4semidirect
98. #10587634C2×C4semidirect
110. #10587628C2×C4semidirect
111. C2×#63230C2×C4semidirect
179. #41×C17C22×C4semidirect
184. C2×Q8×C17C22×C4semidirect
227. #63231C22×C4semidirect
228. #63230C22×C4semidirect
229. #63230C22×C4semidirect
230. #63229C22×C4semidirect
231. #63228C22×C4semidirect
255. #63223C22×C4semidirect
256. C2×#3622C22×C4semidirect
322. #2898D17semidirect
348. Dic17#577semidirect
396. #419C2×D17semidirect
399. #417C2×D17semidirect
401. #416C2×D17semidirect
402. C2×#103C2×D17semidirect
415. 2−1+4C4×D17semidirect
514. C17C4×#577semidirect
522. #41C2×C4×D17semidirect
528. C2×Q8C2×C4×D17semidirect

Maximal subgroups

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

subgroupindex
C2×#117636172
2−1+4×Dic172
#145419902
#145376632
#145376392
#145376212
#145376192
#145375992
#145375972
#145375522
C2×#117628942
#145373772
#145373112
#131×Dic172
C17×#28982
C4×#57717