Finite Group Databasebeta

← #17897958

Subgroups — #17897958

Order 4352.

2666 conjugacy classes of subgroups.

The subgroup lattice has 682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11763574C211yesmaximal, characteristic
2C2×#131×D17C211yesmaximal, characteristic
3#14541983C211yesmaximal, characteristic
4#14537353C213yesmaximal, complemented
5#14537352C211yesmaximal, characteristic, complemented
6#14537351C213yesmaximal, complemented
7#14537351C213yesmaximal, complemented
8#14537350C211yesmaximal, characteristic, complemented
9#14537350C211yesmaximal, characteristic, complemented
10#14537349C213yesmaximal, complemented
11#14537346C213yesmaximal, complemented
12#14537345C213yesmaximal, complemented
13C2×#11762834C213yesmaximal, complemented
14D17×#424C213yesmaximal, complemented
15C17×#2906C211yesmaximal, characteristic, complemented
16C2×#41×D17C2211yescharacteristic
17#11763574—28no—
18C2×#10587593C2213yes—
19C2×#10587593C2213yes—
20C2×#10587634C2211yescharacteristic
21C2×#10587634C2211yescharacteristic
22C2×#10587587C2213yes—
23C2×#10587587C2213yes—
24#131×D17—28no—
25C22×#63218C2213yes—
26C2×M16×D17C2213yes—
27C2×M16×D17C2213yes—
28C22×C8×D17C2213yes—
29#11763291C411yescharacteristic
30#11763291C411yescharacteristic
31#11763288C413yes—
32#11763288C413yes—
33#11763285C411yescharacteristic
34#11763285C411yescharacteristic
35#11763281C413yes—
36#11763281C413yes—
37#41×Dic17C2211yescharacteristic
38C4×#63252C2213yes—
39#11763277C2213yes—
40C2×#10587558C2213yes—
41#117×D17C2213yes—
42#11762837C2213yescomplemented
43#11762837C2213yescomplemented
44#11762836C2213yescomplemented
45#11762836C2213yescomplemented
46#11762835C2213yescomplemented
47#11762835C2213yescomplemented
48#11762834C2213yes—
49#11762834C2216yes—
50#11762834C2211yescharacteristic
51#11762834C2213yes—
52#11762834C2213yes—
53#11762834C2213yescomplemented
54#11762834C2213yescomplemented
55#11762834C2213yescomplemented
56#11762834C2213yescomplemented
57#11762834C2216yescomplemented
58#11762834C2216yescomplemented
59#11762833C2213yescomplemented
60#11762832C2213yescomplemented
61#11762832C2213yescomplemented
62#11762831C2216yescomplemented
63#11762831C2216yescomplemented
64C2×C4⋊#3622C2213yescomplemented
65C2×#10587485C2213yescomplemented
66C2×#10587485C2213yescomplemented
67C4⋊C8×D17C2216yescomplemented
68C4⋊C8×D17C2216yescomplemented
69C2×C17×#131C2211yescharacteristic
70C2×C17×#131C2211yescharacteristic
71C4×#41×C17C2211yescharacteristic
72C17×#424C2213yescomplemented
73C17×#424C2213yescomplemented
74C17×#423C2213yescomplemented
75C2×C17×C4⋊C8C2213yescomplemented
76C2×#41×C17C2311yescharacteristic
77#41×D17D418yes—
78#41×D17Q818yes—
79C2×#63256C2×C411yescharacteristic
80C2×Q8×D17C2×C411yescharacteristic
81C2×#63254C2×C413yes—
82C2×D4×D17C2×C413yes—
83C2×#63252C2313yes—
84C22×C4×D17C2313yes—
85C17×#131—24no—
86C17×#131—24no—
87C2×M16×C17C2313yes—
88C2×M16×C17C2313yes—
89C22×C8×C17C2313yes—
90C22×C8×C17C2313yes—
91C4×Q8×C17C2×C411yescharacteristic
92C4×Q8×C17C2×C411yescharacteristic
93C4×D4×C17C2×C413yes—
94C4×D4×C17C2×C413yes—
95C17×#117C2313yes—
96C2×C42×C17C2313yes—
97#10587634—24no—
98#10587634—24no—
99Q8×Dic17C2×C411yescharacteristic
100Q8×Dic17C2×C411yescharacteristic
101D4×Dic17C2×C413yes—
102D4×Dic17C2×C413yes—
103C4×C22⋊D17C2×C416yes—
104C4×C22⋊D17C2×C416yes—
105C2×#63227C2×C413yes—
106C2×#63227C2×C413yes—
107#10587612C2313yes—
108C2×#63225C2×C413yes—
109C2×#63225C2×C413yes—
110C2×C4×Dic17C2313yes—
111C2×#63223C2313yes—
112C2×#63223C2313yes—
113C22×#3622C2313yes—
114C22×#3622C2313yes—
115#10587593—212no—
116#10587593—212no—
117M16×D17—212no—
118M16×D17—212no—
119#10587587—212no—
120#10587587—212no—
121C2×#63218—212no—
122C2×#63218C2313yes—
123C2×#63218C2316yes—
124C2×#63218C2311yescharacteristic
125C2×#63218C2313yes—
126C2×#63218C2313yes—
127C2×C8×D17—212no—
128C2×C8×D17C2311yescharacteristic
129C2×C8×D17C2313yes—
130C2×C8×D17C2313yes—
131C2×C8×D17C2313yes—
132C2×C8×D17C2316yes—
133#10587579C2×C413yes—
134#10587579C2×C413yes—
135#10587578C2×C413yes—
136#10587578C2×C413yes—
137C4⋊C4×D17C2×C413yes—
138C4⋊C4×D17C2×C413yes—
139#10587573C2×C413yes—
140#10587573C2×C413yes—
141#10587567C2×C416yes—
142#10587567C2×C416yes—
143C22⋊C4×D17C2×C416yes—
144#10587563C2×C416yes—
145C4×D68C2×C413yes—
146C4×D68C2×C413yes—
147#10587558C2×C413yes—
148#10587558C2×C413yes—
149#10587558C2×C413yes—
150#10587558C2×C413yes—
151#10587558C2313yes—
152#10587558C2311yescharacteristic
153#10587558C2313yes—
154#10587558C2313yes—
155C42×D17C2316yes—
156C4×Dic34C2×C413yes—
157C4×Dic34C2×C413yes—
158C17×C4⋊C8C2313yes—
159C17×C4⋊C8C2316yes—
160C17×C4⋊C8C2313yes—
161C17×C4⋊C8C2311yescharacteristic
162C17×C4⋊C8C2313yes—
163#10587485C2313yes—
164#10587485C2313yes—
165#10587485C2316yes—
166#10587485C2316yes—
167#10587485C2311yescharacteristic
168#10587485C2311yescharacteristic
169#10587485C2313yes—
170#10587485C2313yes—
171#10587485C2313yes—
172#10587485C2313yes—
173C4⋊#3622C2313yes—
174C4⋊#3622C2316yes—
175C4⋊#3622C2311yescharacteristic
176C4⋊#3622C2313yes—
177C4⋊#3622C2313yes—
178C23×D17C22×C413yes—
179#41×C17C2×D414yes—
180#41×C17C2×Q814yes—
181C2×Q8×C17C22×C411yescharacteristic
182C2×D4×C17C22×C413yes—
183C22×C4×C17C22×C413yes—
184C22×C4×C17C22×C413yes—
185C22×C4×C17C2413yes—
186C2×C22⋊D17C22×C416yes—
187C22×Dic17C22×C413yes—
188C22×Dic17C22×C413yes—
189C22×Dic17C22×C413yes—
190#63256C4⋊C418yes—
191Q8×D17C4⋊C418yes—
192#63254C4⋊C4124yes—
193D4×D17C4⋊C4124yes—
194#63252C2×D4112yes—
195#63252C2×Q8112yes—
196C2×D68C22×C413yes—
197C2×C4×D17C22×C416yes—
198C2×C4×D17C22×C416yes—
199C2×C4×D17C22×C413yes—
200C2×C4×D17C22×C413yes—
201C2×C4×D17C2×D4112yes—
202C2×C4×D17C2×Q8112yes—
203C2×C4×D17C2411yescharacteristic
204C2×C4×D17C2413yes—
205C2×Dic34C22×C413yes—
206M16×C17—26no—
207M16×C17—26no—
208C2×C8×C17—26no—
209C2×C8×C17—26no—
210C2×C8×C17C2411yescharacteristic
211C2×C8×C17C2411yescharacteristic
212C2×C8×C17C2413yes—
213C2×C8×C17C2413yes—
214C4⋊C4×C17C22×C413yes—
215C4⋊C4×C17C22×C413yes—
216C22⋊C4×C17C22×C416yes—
217C42×C17C22×C413yes—
218C42×C17C22×C413yes—
219C42×C17C2413yes—
220C42×C17C2411yescharacteristic
221C22⋊Dic17C22×C416yes—
222#63227C22×C411yescharacteristic
223#63227C22×C411yescharacteristic
224#63227C22×C413yes—
225#63227C22×C413yes—
226#63227C22×C413yes—
227#63227C22×C413yes—
228#63227C22×C413yes—
229#63227C22×C413yes—
230C4⋊Dic17C22×C413yes—
231C4⋊Dic17C22×C413yes—
232#63225C22×C413yes—
233#63225C22×C413yes—
234#63225C22×C411yescharacteristic
235#63225C22×C411yescharacteristic
236#63225C22×C413yes—
237#63225C22×C413yes—
238#63225C22×C413yes—
239#63225C22×C413yes—
240C4×Dic17C22×C416yes—
241C4×Dic17C22×C416yes—
242C4×Dic17C22×C413yes—
243C4×Dic17C22×C413yes—
244C4×Dic17C2413yes—
245C4×Dic17C2411yescharacteristic
246#63223—26no—
247#63223—26no—
248C2×#3622—26no—
249C2×#3622—26no—
250C2×#3622C2411yescharacteristic
251C2×#3622C2413yes—
252C2×#3622C2413yes—
253C2×#3622C2411yescharacteristic
254#63218—22no—
255#63218—26no—
256#63218—26no—
257#63218—26no—
258#63218—212no—
259C8×D17—22no—
260C8×D17—26no—
261C8×D17—26no—
262C8×D17—26no—
263C8×D17—212no—
264#60100—171nomaximal, Sylow
265C23×C17C23×C413yes—
266C22×D17—43no—
267C22×D17—43no—
268C22×D17C2×C4⋊C4112yes—
269C22×D17C23×C413yes—
270C22×D17C23×C411yescharacteristic
271Q8×C17C2×C4⋊C414yes—
272D4×C17C2×C4⋊C4112yes—
273C2×C4×C17—43no—
274C2×C4×C17—43no—
275C2×C4×C17C23×C411yescharacteristic
276C2×C4×C17C23×C411yescharacteristic
277C2×C4×C17C23×C413yes—
278C2×C4×C17C23×C413yes—
279C2×C4×C17C23×C413yes—
280C2×C4×C17C22×D416yes—
281C2×C4×C17C22×Q816yes—
282C2×C4×C17C2511yescharacteristic
283C22⋊D17C2×C4⋊C4124yes—
284C2×Dic17—43no—
285C2×Dic17—43no—
286C2×Dic17C2×C4⋊C4112yes—
287C2×Dic17C23×C413yes—
288C2×Dic17C23×C413yes—
289C2×Dic17C23×C411yescharacteristic
290C2×Dic17C23×C411yescharacteristic
291C2×Dic17C23×C413yes—
292C2×Dic17C23×C411yescharacteristic
293D68C2×C4⋊C4112yes—
294C4×D17—46no—
295C4×D17—46no—
296C4×D17C2×C4⋊C4112yes—
297C4×D17C2×C4⋊C4112yes—
298C4×D17C22×D412yes—
299C4×D17C22×D416yes—
300C4×D17C22×Q812yes—
301C4×D17C22×Q816yes—
302Dic34C2×C4⋊C4112yes—
303C8×C17—21no—
304C8×C17—21no—
305C8×C17—23no—
306C8×C17—23no—
307#3622—21no—
308#3622—23no—
309#3622—23no—
310#3622—21no—
311C2×#568—171no—
312C22×#131—171no—
313#3428—171no—
314#2906—173no—
315#2906—173no—
316#2906—173no—
317#2906—173no—
318#2906—171no—
319#2906—171no—
320#2906—171no—
321#2906D1711yescharacteristic, complemented
322#2905—173no—
323#2905—173no—
324C2×#424—173no—
325C2×#424—173no—
326C22×C17—23no—
327C22×C17—23no—
328C22×C17C22×C4⋊C416yes—
329C22×C17C24×C411yescharacteristic
330C2×D17—23no—
331C2×D17—23no—
332C2×D17—21no—
333C2×D17—21no—
334C2×D17—412no—
335C2×D17C22×C4⋊C412yes—
336C2×D17C22×C4⋊C416yes—
337C4×C17—23no—
338C4×C17—23no—
339C4×C17—21no—
340C4×C17—21no—
341C4×C17C22×C4⋊C416yes—
342C4×C17C23×D411yescharacteristic
343C4×C17C23×Q811yescharacteristic
344Dic17—23no—
345Dic17—23no—
346Dic17—21no—
347Dic17—21no—
348Dic17C22×C4⋊C416yes—
349Dic17C22×C4⋊C412yes—
350C22×#41—171no—
351#568—348no—
352C2×#131—171no—
353C2×#131—171no—
354C2×#131—173no—
355C2×#131—173no—
356C2×#131—173no—
357C2×#131—173no—
358C2×#131—348no—
359C2×#131C2×D1711yescharacteristic
360C2×#131C2×D1711yescharacteristic
361C22×M16—173no—
362C22×M16—173no—
363C22×M16—173no—
364C23×C8—173no—
365#520—171no—
366#520—171no—
367#520—173no—
368#520—173no—
369#519—171no—
370#519—171no—
371#518—173no—
372#518—173no—
373C4×#41—171no—
374C4×#41—173no—
375C4×#41—173no—
376C4×#41C2×D1711yescharacteristic
377C2×#117—173no—
378C2×#117—173no—
379#424—173no—
380#424—173no—
381#424—173no—
382#424—173no—
383#424—173no—
384#424—173no—
385#424—173no—
386#424—171no—
387#424—176no—
388#424—173no—
389#424—173no—
390#424—173no—
391#424—173no—
392#424—173no—
393#424—173no—
394#424—176no—
395#424—176no—
396#424C2×D1713yescomplemented
397#424C2×D1713yescomplemented
398#423—173no—
399#423—173no—
400#423—173no—
401#423—176no—
402#423—176no—
403#423C2×D1713yescomplemented
404C2×C4⋊C8—173no—
405C2×C4⋊C8—173no—
406C2×C4⋊C8—173no—
407C2×C4⋊C8—176no—
408C2×C4⋊C8—176no—
409C2×C4⋊C8C2×D1713yescomplemented
410C2×C17—26no—
411C2×C17C23×C4⋊C411yescharacteristic
412C2×C17#357311yescharacteristic
413C2×C17#357311yescharacteristic
414D17—22no—
415D17—26no—
416C2×#41—178no—
417C2×#41—178no—
418C2×#41—171no—
419C2×#41—173no—
420C2×#41—173no—
421C2×#41C22×D1711yescharacteristic
422C22×Q8—171no—
423C22×D4—173no—
424C23×C4—173no—
425#131—24no—
426#131—24no—
427#131—3412no—
428#131—3412no—
429#131—3412no—
430#131—3412no—
431#131—344no—
432#131—344no—
433C2×M16—173no—
434C2×M16—173no—
435C2×M16—173no—
436C2×M16—171no—
437C2×M16—176no—
438C2×M16—173no—
439C2×M16—173no—
440C2×M16—3412no—
441C2×M16—3412no—
442C2×M16—3412no—
443C2×M16C22×D1713yes—
444C2×M16C22×D1713yes—
445C22×C8—173no—
446C22×C8—173no—
447C22×C8—171no—
448C22×C8—173no—
449C22×C8—173no—
450C22×C8—173no—
451C22×C8—176no—
452C22×C8—3412no—
453C22×C8C22×D1713yes—
454C22×C8C22×D1713yes—
455C4×Q8—171no—
456C4×Q8—171no—
457C4×Q8—173no—
458C4×Q8—173no—
459C4×Q8—173no—
460C4×Q8—173no—
461C4×Q8C4×D1711yescharacteristic
462C4×Q8C4×D1711yescharacteristic
463C4×D4—173no—
464C4×D4—173no—
465C4×D4—176no—
466C4×D4—176no—
467C4×D4—173no—
468C4×D4—173no—
469C4×D4—176no—
470C4×D4—176no—
471C4×D4—173no—
472C4×D4—173no—
473C4×D4C4×D1713yes—
474C4×D4C4×D1713yes—
475#117—173no—
476#117—173no—
477#117—173no—
478#117—176no—
479#117—173no—
480#117—173no—
481#117—173no—
482#117—173no—
483#117—173no—
484#117—171no—
485#117—173no—
486#117—173no—
487#117C22×D1713yes—
488C2×C4⋊C4—173no—
489C2×C4⋊C4—173no—
490C2×C4⋊C4—173no—
491C2×C4⋊C4—173no—
492C2×C22⋊C4—173no—
493C2×C22⋊C4—173no—
494C2×C22⋊C4—176no—
495C2×C42—173no—
496C2×C42—176no—
497C2×C42C22×D1713yes—
498C4⋊C8—173no—
499C4⋊C8—171no—
500C4⋊C8—173no—
501C4⋊C8—171no—
502C4⋊C8—176no—
503C4⋊C8—176no—
504C4⋊C8—173no—
505C4⋊C8—173no—
506C4⋊C8—173no—
507C4⋊C8—173no—
508C4⋊C8—173no—
509C4⋊C8—171no—
510C4⋊C8—176no—
511C4⋊C8—173no—
512C4⋊C8—173no—
513C4⋊C8C22×D1713yes—
514C4⋊C8C22×D1716yes—
515C4⋊C8C22×D1711yescharacteristic
516C4⋊C8C22×D1713yes—
517C4⋊C8C22×D1713yes—
518C17#6010011yescharacteristic, complemented, Sylow
519C24—173no—
520#41—178no—
521#41—1724no—
522#41—1712no—
523#41—1712no—
524#41D4×D1714yes—
525#41Q8×D1714yes—
526C2×Q8—178no—
527C2×Q8—173no—
528C2×Q8C2×C4×D1711yescharacteristic
529C2×D4—176no—
530C2×D4—1724no—
531C2×D4—173no—
532C2×D4C2×C4×D1713yes—
533C22×C4—173no—
534C22×C4—173no—
535C22×C4—173no—
536C22×C4—1712no—
537C22×C4—1712no—
538C22×C4—173no—
539C22×C4—171no—
540C22×C4—173no—
541C22×C4—173no—
542C22×C4—176no—
543C22×C4—176no—
544C22×C4C2×C4×D1713yes—
545C22×C4C2×C4×D1713yes—
546C22×C4C23×D1713yes—
547M16—26no—
548M16—26no—
549M16—342no—
550M16—346no—
551M16—346no—
552M16—346no—
553M16—3412no—
554M16—346no—
555M16—346no—
556C2×C8—26no—
557C2×C8—26no—
558C2×C8—171no—
559C2×C8—171no—
560C2×C8—173no—
561C2×C8—173no—
562C2×C8—342no—
563C2×C8—346no—
564C2×C8—346no—
565C2×C8—346no—
566C2×C8—3412no—
567C2×C8—346no—
568C2×C8—346no—
569C2×C8C23×D1711yescharacteristic
570C2×C8C23×D1713yes—
571C2×C8C23×D1713yes—
572C2×C8C23×D1711yescharacteristic
573C4⋊C4—173no—
574C4⋊C4—173no—
575C4⋊C4—171no—
576C4⋊C4—171no—
577C4⋊C4—173no—
578C4⋊C4—173no—
579C4⋊C4—173no—
580C4⋊C4—173no—
581C4⋊C4—173no—
582C4⋊C4—173no—
583C4⋊C4C2×C4×D1713yes—
584C4⋊C4C2×C4×D1713yes—
585C22⋊C4—176no—
586C22⋊C4—173no—
587C22⋊C4—173no—
588C22⋊C4—171no—
589C22⋊C4—171no—
590C22⋊C4—173no—
591C22⋊C4—173no—
592C22⋊C4—173no—
593C22⋊C4—173no—
594C22⋊C4C2×C4×D1716yes—
595C42—176no—
596C42—176no—
597C42—173no—
598C42—173no—
599C42—171no—
600C42—173no—
601C42C2×C4×D1713yes—
602C42C2×C4×D1713yes—
603C42C23×D1713yes—
604C42C23×D1711yescharacteristic
605C23—171no—
606C23—173no—
607C23—1712no—
608C23—683no—
609C23—683no—
610C23C22×C4×D1713yes—
611Q8—1712no—
612Q8C4⋊C4×D1714yes—
613D4—1724no—
614D4—1712no—
615D4C4⋊C4×D17112yes—
616C2×C4—43no—
617C2×C4—43no—
618C2×C4—1712no—
619C2×C4—173no—
620C2×C4—171no—
621C2×C4—1712no—
622C2×C4—1712no—
623C2×C4—172no—
624C2×C4—176no—
625C2×C4—172no—
626C2×C4—176no—
627C2×C4—173no—
628C2×C4—171no—
629C2×C4—173no—
630C2×C4—171no—
631C2×C4—686no—
632C2×C4—686no—
633C2×C4—683no—
634C2×C4—683no—
635C2×C4C22×C4×D1713yes—
636C2×C4C22×C4×D1713yes—
637C2×C4C22×C4×D1711yescharacteristic
638C2×C4C22×C4×D1711yescharacteristic
639C2×C4C22×C4×D1713yes—
640C2×C4C2×D4×D1716yes—
641C2×C4C2×Q8×D1716yes—
642C2×C4C24×D1711yescharacteristic
643C8—21no—
644C8—21no—
645C8—23no—
646C8—23no—
647C8—341no—
648C8—343no—
649C8—343no—
650C8—341no—
651C22—23no—
652C22—23no—
653C22—172no—
654C22—176no—
655C22—343no—
656C22—341no—
657C22—343no—
658C22—341no—
659C22—6812no—
660C22C2×C4⋊C4×D1716yes—
661C22C23×C4×D1711yescharacteristic
662C4—21no—
663C4—23no—
664C4—21no—
665C4—23no—
666C4—172no—
667C4—176no—
668C4—343no—
669C4—341no—
670C4—343no—
671C4—341no—
672C4C2×C4⋊C4×D1716yes—
673C4C22×D4×D1711yescharacteristic
674C4C22×Q8×D1711yescharacteristic
675C2—26no—
676C2—342no—
677C2—346no—
678C2C22×C4⋊C4×D1711yescharacteristic
679C2#1454349511yescharacteristic
680C2#1454349711yescharacteristic
subgroupG/H
center, FrattiniC2×C4C24×D17
commutator, socleC22×C17C24×C4
FittingC17×#2906C2
prime radicalC2×#41×D17C22
cosocleC2×C4×C17C25
hypercenter#2906D17
hypocenterC17#60100
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C2×C4 ◁ #2906

Complements

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

NH ≅ G/Ntype
4. #14537353C2semidirect
5. #14537352C2semidirect
6. #14537351C2semidirect
7. #14537351C2semidirect
8. #14537350C2semidirect
9. #14537350C2semidirect
10. #14537349C2semidirect
11. #14537346C2semidirect
12. #14537345C2semidirect
13. C2×#11762834C2semidirect
14. D17×#424C2semidirect
15. C17×#2906C2semidirect
42. #11762837C22semidirect
43. #11762837C22semidirect
44. #11762836C22semidirect
45. #11762836C22semidirect
46. #11762835C22semidirect
47. #11762835C22semidirect
53. #11762834C22semidirect
54. #11762834C22semidirect
55. #11762834C22semidirect
56. #11762834C22semidirect
57. #11762834C22semidirect
58. #11762834C22semidirect
59. #11762833C22semidirect
60. #11762832C22semidirect
61. #11762832C22semidirect
62. #11762831C22semidirect
63. #11762831C22semidirect
64. C2×C4⋊#3622C22semidirect
65. C2×#10587485C22semidirect
66. C2×#10587485C22semidirect
67. C4⋊C8×D17C22semidirect
68. C4⋊C8×D17C22semidirect
72. C17×#424C22semidirect
73. C17×#424C22semidirect
74. C17×#423C22semidirect
75. C2×C17×C4⋊C8C22semidirect
321. #2906D17semidirect
396. #424C2×D17semidirect
397. #424C2×D17semidirect
403. #423C2×D17semidirect
409. C2×C4⋊C8C2×D17semidirect
518. C17#60100semidirect

Maximal subgroups

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

subgroupindex
C2×#117635742
C2×#131×D172
#145419832
#145373532
#145373522
#145373512
#145373502
#145373492
#145373462
#145373452
C2×#117628342
D17×#4242
C17×#29062
#6010017