Finite Group Databasebeta

← #17195376

Subgroups — #17195376

Order 4352.

5106 conjugacy classes of subgroups.

The subgroup lattice has 738 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#10587694C211yesmaximal, characteristic
2C2×#11763291C211yesmaximal, characteristic, complemented
3C2×C4×#63256C211yesmaximal, characteristic, complemented
4Q8×C22⋊Dic17C211yesmaximal, characteristic, complemented
5Q8×#63227C211yesmaximal, characteristic, complemented
6Q8×#63227C211yesmaximal, characteristic, complemented
7#14531615C213yesmaximal, complemented
8#14531613C213yesmaximal, complemented
9#14531613C213yesmaximal, complemented
10#14531612C213yesmaximal, complemented
11#14531373C213yesmaximal, complemented
12#14531367C213yesmaximal, complemented
13#14531270C213yesmaximal, complemented
14D17×#391C213yesmaximal, complemented
15Q8×C22⋊C4×C17C211yesmaximal, characteristic, complemented
16C2×#10587694—28no—
17C2×#10587694—28no—
18C2×#10587694C4116yescomplemented
19C22×#63256C2213yes—
20C22×#63256C2211yescharacteristic
21C22×#63252C2213yes—
22C22×#63252C2213yes—
23C22×Q8×D17C2211yescharacteristic
24C22×Q8×D17C2213yes—
25#11763291—28no—
26C4×#63256—28no—
27C2×Q8×Dic17C2211yescharacteristic
28C2×Q8×Dic17C2211yescharacteristic
29C2×C4×D68C2213yes—
30C2×C4×D68C2213yes—
31C2×#10587579C2213yes—
32C2×#10587579C2213yes—
33C2×#10587578C2213yes—
34C2×#10587558C2213yes—
35C2×C4⋊C4×D17C2213yes—
36C2×C42×D17C2213yes—
37#11762716C2213yes—
38#11762716C2213yes—
39#11762715C2213yes—
40#11762715C2213yes—
41#11762714C2213yes—
42#11762714C2213yes—
43#11762713C2213yes—
44#11762713C2216yes—
45#11762713C2213yes—
46#11762709C2213yes—
47#11762709C2211yescharacteristic
48#11762687C2216yes—
49#11762687C2213yes—
50#11762687C2213yes—
51#11762685C2213yes—
52#11762685C2216yes—
53#11762685C2213yes—
54#11762671C2216yes—
55#11762671C2216yes—
56#11762669C2213yes—
57#11762666C2213yes—
58#11762666C2213yes—
59C4×#63227C2213yes—
60C4×#63227C2213yes—
61C4×C22⋊Dic17C2213yes—
62#95×D17C2216yes—
63#95×D17C2216yes—
64C23×Q8×C17C2211yescharacteristic
65C2×C4×Q8×C17C2211yescharacteristic
66C2×C4×Q8×C17C2211yescharacteristic
67C17×#391C2213yes—
68C17×#391C2213yes—
69C17×#380C2213yes—
70C4×C22⋊C4×C17C2213yes—
71C22×Q8×C17—24no—
72C22×Q8×C17—24no—
73C22×Q8×C17C2×C418yescomplemented
74C22×Q8×C17C2313yes—
75C22×Q8×C17C2311yescharacteristic
76C23×C4×C17C2313yes—
77C22×C22⋊D17C2311yescharacteristic
78C22×C22⋊D17C2313yes—
79#10587694—2128no—
80C2×#63256—212no—
81C2×#63256—212no—
82C2×#63256C2×C418yes—
83C2×#63256C2×C4124yescomplemented
84C2×#63256D418yes—
85C2×#63256D418yes—
86C2×Q8×D17—24no—
87C2×Q8×D17—24no—
88C2×Q8×D17—212no—
89C2×Q8×D17—212no—
90C2×Q8×D17C2×C418yescomplemented
91C2×Q8×D17C2×C4124yescomplemented
92C2×#63252—212no—
93C2×#63252—212no—
94C2×#63252—212no—
95C2×#63252—212no—
96C2×#63252C2×C4124yescomplemented
97C2×#63252C2×C4124yescomplemented
98C22×D68C2313yes—
99C22×D68C2313yes—
100C22×C4×D17C2313yes—
101C22×C4×D17C2313yes—
102C22×C4×D17C2316yes—
103C22×C4×D17C2313yes—
104C22×C4×D17C2316yes—
105C22×C4×D17C2313yes—
106C22×Dic34C2313yes—
107C22×Dic34C2313yes—
108C4×Q8×C17—24no—
109C4×Q8×C17—24no—
110C2×C4⋊C4×C17C2313yes—
111C2×C4⋊C4×C17C2313yes—
112C2×C22⋊C4×C17C2311yescharacteristic
113C2×C22⋊C4×C17C2313yes—
114C2×C42×C17C2313yes—
115C2×C42×C17C2313yes—
116C2×C22⋊Dic17C2311yescharacteristic
117C2×C22⋊Dic17C2313yes—
118Q8×Dic17—24no—
119Q8×Dic17—24no—
120C2×#63227C2311yescharacteristic
121C2×#63227C2311yescharacteristic
122C2×#63227C2313yes—
123C2×#63227C2313yes—
124C2×#63227C2316yes—
125C2×#63227C2313yes—
126C2×#63227C2313yes—
127C2×C4⋊Dic17C2313yes—
128C2×C4⋊Dic17C2313yes—
129C2×#63225C2313yes—
130C2×#63225C2311yescharacteristic
131C2×C4×Dic17C2311yescharacteristic
132C2×C4×Dic17C2313yes—
133C2×C4×Dic17C2313yes—
134C2×C4×Dic17C2313yes—
135#10587579—212no—
136#10587579—212no—
137#10587578—212no—
138C4⋊C4×D17—212no—
139C4×D68—212no—
140C4×D68—212no—
141#10587558—212no—
142C42×D17—212no—
143C17×#95C2313yes—
144C17×#95C2313yes—
145C17×#95C2316yes—
146#10587502C2313yes—
147#10587502C2313yes—
148#10587502C2316yes—
149#10587502C2316yes—
150#10587502C2313yes—
151#10587502C2313yes—
152#10587502C2313yes—
153#10587502C2316yes—
154#10587502C2313yes—
155C24×C17C2411yescharacteristic
156C23×D17C2411yescharacteristic
157C23×D17C2413yes—
158C2×Q8×C17—232no—
159C2×Q8×C17—26no—
160C2×Q8×C17—26no—
161C2×Q8×C17C22×C4112yes—
162C2×Q8×C17C22×C414yes—
163C2×Q8×C17C2×D414yes—
164C2×Q8×C17C2×D414yes—
165C22×C4×C17—26no—
166C22×C4×C17—26no—
167C22×C4×C17C22×C4112yes—
168C22×C4×C17C2413yes—
169C22×C4×C17C2413yes—
170C22×C4×C17C2411yescharacteristic
171C22×C4×C17C2413yes—
172C22×C4×C17C2411yescharacteristic
173C22×C4×C17C2413yes—
174C2×C22⋊D17—26no—
175C2×C22⋊D17—26no—
176C2×C22⋊D17—22no—
177C2×C22⋊D17—22no—
178C2×C22⋊D17C22×C4112yes—
179C2×C22⋊D17C22×C414yes—
180C22×Dic17C2413yes—
181C22×Dic17C2413yes—
182C22×Dic17C2411yescharacteristic
183C22×Dic17C2413yes—
184C22×Dic17C2411yescharacteristic
185C22×Dic17C2411yescharacteristic
186#63256—296no—
187#63256C22⋊C4164yescomplemented
188Q8×D17—232no—
189Q8×D17—296no—
190#63252—296no—
191#63252—296no—
192C2×D68—26no—
193C2×D68—26no—
194C2×D68C22×C4112yes—
195C2×D68C22×C4112yes—
196C2×D68C2×D4112yes—
197C2×D68C2×D4112yes—
198C2×C4×D17—212no—
199C2×C4×D17—212no—
200C2×C4×D17—26no—
201C2×C4×D17—26no—
202C2×C4×D17—26no—
203C2×C4×D17—26no—
204C2×C4×D17—26no—
205C2×C4×D17—26no—
206C2×C4×D17—212no—
207C2×C4×D17—43no—
208C2×C4×D17—43no—
209C2×C4×D17—46no—
210C2×C4×D17—46no—
211C2×C4×D17C22×C4124yes—
212C2×C4×D17C22×C4112yes—
213C2×C4×D17C22×C4112yes—
214C2×C4×D17C2×D4112yes—
215C2×C4×D17C2×D4112yes—
216C2×Dic34—26no—
217C2×Dic34—26no—
218C2×Dic34—26no—
219C2×Dic34—26no—
220C2×Dic34C22×C4112yes—
221C2×Dic34C22×C4112yes—
222C4⋊C4×C17—26no—
223C4⋊C4×C17—26no—
224C22⋊C4×C17—22no—
225C22⋊C4×C17—43no—
226C42×C17—26no—
227C42×C17—26no—
228C22⋊Dic17—22no—
229C22⋊Dic17—43no—
230#63227—26no—
231#63227—26no—
232#63227—212no—
233#63227—22no—
234#63227—22no—
235#63227—43no—
236#63227—43no—
237C4⋊Dic17—26no—
238C4⋊Dic17—26no—
239#63225—22no—
240#63225—26no—
241C4×Dic17—26no—
242C4×Dic17—26no—
243C4×Dic17—22no—
244C4×Dic17—26no—
245#34259—171nomaximal, Sylow
246C23×C17—21no—
247C23×C17—21no—
248C23×C17—21no—
249C23×C17—21no—
250C23×C17—21no—
251C23×C17—21no—
252C23×C17C23×C412yes—
253C23×C17C2511yescharacteristic
254C22×D17—23no—
255C22×D17—23no—
256C22×D17—23no—
257C22×D17—23no—
258C22×D17—21no—
259C22×D17—21no—
260C22×D17—21no—
261C22×D17—21no—
262C22×D17—21no—
263C22×D17—21no—
264C22×D17C23×C412yes—
265C22×D17C23×C416yes—
266C22×D17C22×D416yes—
267C22×D17C22×D416yes—
268Q8×C17—224no—
269Q8×C17C2×C22⋊C4116yes—
270C2×C4×C17—21no—
271C2×C4×C17—23no—
272C2×C4×C17—23no—
273C2×C4×C17—21no—
274C2×C4×C17—224no—
275C2×C4×C17—21no—
276C2×C4×C17—23no—
277C2×C4×C17—23no—
278C2×C4×C17—21no—
279C2×C4×C17—23no—
280C2×C4×C17—21no—
281C2×C4×C17—23no—
282C2×C4×C17—23no—
283C2×C4×C17—23no—
284C2×C4×C17C23×C416yes—
285C2×C4×C17C23×C416yes—
286C2×C4×C17C22×D416yes—
287C2×C4×C17C22×D416yes—
288C2×C4×C172−1+412yescomplemented
289C22⋊D17—224no—
290C22⋊D17—28no—
291C2×Dic17—23no—
292C2×Dic17—23no—
293C2×Dic17—21no—
294C2×Dic17—21no—
295C2×Dic17—23no—
296C2×Dic17—23no—
297C2×Dic17—21no—
298C2×Dic17—21no—
299C2×Dic17—23no—
300C2×Dic17—21no—
301C2×Dic17—23no—
302C2×Dic17—23no—
303C2×Dic17—23no—
304C2×Dic17C23×C416yes—
305C2×Dic17C23×C412yes—
306C2×Dic17C22×D412yes—
307C2×Dic17C22×D412yes—
308C2×Dic172−1+412yescomplemented
309D68—224no—
310D68C2×C22⋊C4148yes—
311C4×D17—248no—
312C4×D17—224no—
313C4×D17—412no—
314C4×D17—412no—
315C4×D17—812no—
316C4×D17C2×C22⋊C4148yes—
317Dic34—224no—
318Dic34—224no—
319C22×2−1+4—171no—
320C2×#520—171no—
321C2×C4×#41—171no—
322Q8×C22⋊C4—171no—
323Q8×C22⋊C4—171no—
324Q8×C22⋊C4—171no—
325Q8×C22⋊C4D1711yescharacteristic, complemented
326#2339—173no—
327#2339—173no—
328#2339—173no—
329#2339—173no—
330#2311—173no—
331#2310—173no—
332#2297—173no—
333C2×#391—173no—
334C22×C17—22no—
335C22×C17—22no—
336C22×C17—22no—
337C22×C17—41no—
338C22×C17—41no—
339C22×C17—41no—
340C22×C17—41no—
341C22×C17C24×C411yescharacteristic
342C22×C17C23×D411yescharacteristic
343C22×C17C23×D411yescharacteristic
344C22×C17C2×2−1+411yescharacteristic
345C22×C17C2×2−1+411yescharacteristic
346C22×C17#58511yescharacteristic
347C22×C17#58511yescharacteristic
348C2×D17—26no—
349C2×D17—26no—
350C2×D17—26no—
351C2×D17—26no—
352C2×D17—26no—
353C2×D17—26no—
354C2×D17—22no—
355C2×D17—22no—
356C2×D17—22no—
357C2×D17—41no—
358C2×D17—41no—
359C2×D17—41no—
360C2×D17—41no—
361C2×D17C22×C22⋊C4112yes—
362C4×C17—26no—
363C4×C17—22no—
364C4×C17—43no—
365C4×C17—41no—
366C4×C17—43no—
367C4×C17C22×C22⋊C4112yes—
368Dic17—26no—
369Dic17—22no—
370Dic17—43no—
371Dic17—41no—
372Dic17—43no—
373Dic17C22×C22⋊C414yes—
374C2×2−1+4—1716no—
375C2×2−1+4—348no—
376C2×2−1+4—348no—
377C22×#41—171no—
378C22×#41—173no—
379C22×#41—173no—
380C22×#41—173no—
381C23×Q8—173no—
382C23×Q8—171no—
383C23×Q8C2×D1711yescharacteristic
384#520—348no—
385C4×#41—348no—
386C2×C4×Q8—171no—
387C2×C4×Q8—171no—
388C2×C4×Q8C2×D1711yescharacteristic
389C2×C4×Q8C2×D1711yescharacteristic
390C2×C4×D4—173no—
391C2×C4×D4—173no—
392C2×C4×D4—173no—
393C2×C4×D4—173no—
394C2×#117—173no—
395C2×#117—173no—
396C22×C4⋊C4—173no—
397C22×C42—173no—
398#391—173no—
399#391—173no—
400#391—173no—
401#391—173no—
402#391—173no—
403#391—173no—
404#391—173no—
405#391—176no—
406#391—173no—
407#391C2×D1713yes—
408#391C2×D1713yes—
409#390—173no—
410#390—171no—
411#386—176no—
412#386—173no—
413#386—173no—
414#386—176no—
415#386—173no—
416#386—173no—
417#381—176no—
418#381—176no—
419#380—173no—
420#380—173no—
421#380—173no—
422#380C2×D1713yes—
423C4×C22⋊C4—173no—
424C4×C22⋊C4—173no—
425C4×C22⋊C4—173no—
426C4×C22⋊C4C2×D1713yes—
427C2×#95—176no—
428C2×#95—176no—
429C2×C17—42no—
430C2×C17C23×C22⋊C411yescharacteristic
431C2×C17C4×2−1+411yescharacteristic
432C2×C17C4×2−1+411yescharacteristic
433C2×C17#348911yescharacteristic
434C2×C17#348911yescharacteristic
435C2×C17#349911yescharacteristic
436C2×C17#350011yescharacteristic
437D17—212no—
438D17—42no—
4392−1+4—34128no—
440C2×#41—178no—
441C2×#41—1724no—
442C2×#41—178no—
443C2×#41—178no—
444C2×#41—1724no—
445C2×#41—1724no—
446C2×#41—3412no—
447C2×#41—3412no—
448C2×#41—3412no—
449C2×#41—3412no—
450C2×#41—3412no—
451C2×#41—3412no—
452C22×Q8—24no—
453C22×Q8—24no—
454C22×Q8—1724no—
455C22×Q8—178no—
456C22×Q8—173no—
457C22×Q8—173no—
458C22×Q8—3412no—
459C22×Q8—3412no—
460C22×Q8—344no—
461C22×Q8—344no—
462C22×Q8C4×D1718yescomplemented
463C22×Q8C22×D1713yes—
464C22×Q8C22×D1711yescharacteristic
465C22×D4—173no—
466C22×D4—171no—
467C22×D4—173no—
468C22×D4—173no—
469C23×C4—173no—
470C23×C4—176no—
471C23×C4—173no—
472C23×C4—173no—
473C23×C4—173no—
474C23×C4—176no—
475C23×C4C22×D1713yes—
476C4×Q8—24no—
477C4×Q8—24no—
478C4×Q8—344no—
479C4×Q8—344no—
480C4×D4—3412no—
481C4×D4—3412no—
482C4×D4—3412no—
483C4×D4—3412no—
484#117—3412no—
485#117—3412no—
486C2×C4⋊C4—173no—
487C2×C4⋊C4—173no—
488C2×C4⋊C4—171no—
489C2×C4⋊C4—173no—
490C2×C4⋊C4—3412no—
491C2×C4⋊C4C22×D1713yes—
492C2×C4⋊C4C22×D1713yes—
493C2×C22⋊C4—171no—
494C2×C22⋊C4—173no—
495C2×C22⋊C4—176no—
496C2×C22⋊C4—173no—
497C2×C22⋊C4—171no—
498C2×C22⋊C4—171no—
499C2×C22⋊C4—173no—
500C2×C22⋊C4—173no—
501C2×C22⋊C4—173no—
502C2×C22⋊C4C22×D1711yescharacteristic
503C2×C22⋊C4C22×D1713yes—
504C2×C42—173no—
505C2×C42—173no—
506C2×C42—173no—
507C2×C42—171no—
508C2×C42—3412no—
509C2×C42C22×D1713yes—
510C2×C42C22×D1713yes—
511#95—173no—
512#95—173no—
513#95—173no—
514#95—176no—
515#95—176no—
516#95—176no—
517#95—173no—
518#95—173no—
519#95—173no—
520#95C22×D1713yes—
521#95C22×D1716yes—
522#95C22×D1713yes—
523C17#3425911yescharacteristic, complemented, Sylow
524C24—173no—
525C24—171no—
526C24C23×D1711yescharacteristic
527#41—1764no—
528#41—3496no—
529#41—3496no—
530#41—3496no—
531C2×Q8—232no—
532C2×Q8—26no—
533C2×Q8—26no—
534C2×Q8—1712no—
535C2×Q8—1712no—
536C2×Q8—346no—
537C2×Q8—346no—
538C2×Q8—3496no—
539C2×Q8—3432no—
540C2×Q8—346no—
541C2×Q8—346no—
542C2×Q8C2×C4×D17112yes—
543C2×Q8C2×C4×D1714yes—
544C2×Q8D4×D1714yes—
545C2×Q8D4×D1714yes—
546C2×D4—174no—
547C2×D4—1712no—
548C2×D4—1712no—
549C2×D4—1712no—
550C2×D4—1712no—
551C2×D4—1712no—
552C2×D4—346no—
553C2×D4—346no—
554C2×D4—342no—
555C2×D4—342no—
556C2×D4—346no—
557C2×D4—346no—
558C22×C4—26no—
559C22×C4—26no—
560C22×C4—171no—
561C22×C4—1712no—
562C22×C4—1712no—
563C22×C4—1712no—
564C22×C4—173no—
565C22×C4—171no—
566C22×C4—1724no—
567C22×C4—1712no—
568C22×C4—171no—
569C22×C4—173no—
570C22×C4—173no—
571C22×C4—346no—
572C22×C4—3412no—
573C22×C4—3412no—
574C22×C4—346no—
575C22×C4—346no—
576C22×C4—3412no—
577C22×C4—346no—
578C22×C4—346no—
579C22×C4—346no—
580C22×C4—683no—
581C22×C4—683no—
582C22×C4—686no—
583C22×C4—686no—
584C22×C4C2×C4×D17112yes—
585C22×C4C23×D1713yes—
586C22×C4C23×D1711yescharacteristic
587C22×C4C23×D1713yes—
588C22×C4C23×D1713yes—
589C22×C4C23×D1711yescharacteristic
590C22×C4C23×D1713yes—
591C4⋊C4—26no—
592C4⋊C4—26no—
593C4⋊C4—346no—
594C4⋊C4—342no—
595C4⋊C4—346no—
596C4⋊C4—346no—
597C22⋊C4—22no—
598C22⋊C4—43no—
599C22⋊C4—342no—
600C22⋊C4—346no—
601C22⋊C4—3412no—
602C22⋊C4—346no—
603C22⋊C4—342no—
604C22⋊C4—342no—
605C22⋊C4—683no—
606C22⋊C4—683no—
607C22⋊C4—683no—
608C42—26no—
609C42—26no—
610C42—342no—
611C42—346no—
612C42—346no—
613C42—346no—
614C23—21no—
615C23—21no—
616C23—21no—
617C23—21no—
618C23—21no—
619C23—21no—
620C23—176no—
621C23—176no—
622C23—176no—
623C23—172no—
624C23—343no—
625C23—343no—
626C23—343no—
627C23—343no—
628C23—341no—
629C23—341no—
630C23—341no—
631C23—341no—
632C23—341no—
633C23—341no—
634C23C22×C4×D1712yes—
635C23C24×D1711yescharacteristic
636Q8—224no—
637Q8—3424no—
638Q8—3424no—
639Q8C22⋊C4×D17116yes—
640D4—1748no—
641D4—3424no—
642D4—348no—
643D4—3424no—
644C2×C4—21no—
645C2×C4—23no—
646C2×C4—23no—
647C2×C4—21no—
648C2×C4—224no—
649C2×C4—21no—
650C2×C4—23no—
651C2×C4—23no—
652C2×C4—21no—
653C2×C4—23no—
654C2×C4—21no—
655C2×C4—23no—
656C2×C4—23no—
657C2×C4—23no—
658C2×C4—172no—
659C2×C4—172no—
660C2×C4—172no—
661C2×C4—1748no—
662C2×C4—176no—
663C2×C4—172no—
664C2×C4—3448no—
665C2×C4—341no—
666C2×C4—343no—
667C2×C4—343no—
668C2×C4—341no—
669C2×C4—3424no—
670C2×C4—341no—
671C2×C4—343no—
672C2×C4—343no—
673C2×C4—341no—
674C2×C4—341no—
675C2×C4—343no—
676C2×C4—343no—
677C2×C4—343no—
678C2×C4—343no—
679C2×C4—6812no—
680C2×C4—6812no—
681C2×C4—13612no—
682C2×C4C22×C4×D1716yes—
683C2×C4C22×C4×D1716yes—
684C2×C4C2×D4×D1716yes—
685C2×C4C2×D4×D1716yes—
686C2×C4#1058769412yescomplemented
687C22—22no—
688C22—22no—
689C22—22no—
690C22—41no—
691C22—41no—
692C22—41no—
693C22—41no—
694C22—1712no—
695C22—346no—
696C22—346no—
697C22—346no—
698C22—346no—
699C22—346no—
700C22—346no—
701C22—342no—
702C22—342no—
703C22—342no—
704C22—681no—
705C22—681no—
706C22—681no—
707C22—681no—
708C22C23×C4×D1711yescharacteristic
709C22C22×D4×D1711yescharacteristic
710C22C22×D4×D1711yescharacteristic
711C222−1+4×D1711yescharacteristic
712C22C2×#1058769411yescharacteristic
713C22#1176364511yescharacteristic
714C22#1176364611yescharacteristic
715C4—26no—
716C4—22no—
717C4—43no—
718C4—41no—
719C4—43no—
720C4—174no—
721C4—346no—
722C4—342no—
723C4—683no—
724C4—681no—
725C4—683no—
726C4C2×C22⋊C4×D17112yes—
727C2—42no—
728C2—3412no—
729C2—682no—
730C2C22×C22⋊C4×D1711yescharacteristic
731C2#1454199311yescharacteristic
732C2C4×#1058769411yescharacteristic
733C2#1454246111yescharacteristic
734C2#1454246311yescharacteristic
735C2#1454256811yescharacteristic
736C2#1454257511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D17
commutatorC22×C17C24×C4
FittingQ8×C22⋊C4×C17C2
socle, cosocleC23×C17C25
prime radicalC22×#10587694C2
hypercenterQ8×C22⋊C4D17
hypocenterC17#34259
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C23 ◁ Q8×C22⋊C4

Complements

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

NH ≅ G/Ntype
2. C2×#11763291C2semidirect
3. C2×C4×#63256C2semidirect
4. Q8×C22⋊Dic17C2semidirect
5. Q8×#63227C2semidirect
6. Q8×#63227C2semidirect
7. #14531615C2semidirect
8. #14531613C2semidirect
9. #14531613C2semidirect
10. #14531612C2semidirect
11. #14531373C2semidirect
12. #14531367C2semidirect
13. #14531270C2semidirect
14. D17×#391C2semidirect
15. Q8×C22⋊C4×C17C2semidirect
18. C2×#10587694C4semidirect
73. C22×Q8×C17C2×C4semidirect
83. C2×#63256C2×C4semidirect
90. C2×Q8×D17C2×C4semidirect
91. C2×Q8×D17C2×C4semidirect
96. C2×#63252C2×C4semidirect
97. C2×#63252C2×C4semidirect
187. #63256C22⋊C4semidirect
288. C2×C4×C172−1+4semidirect
308. C2×Dic172−1+4semidirect
325. Q8×C22⋊C4D17semidirect
462. C22×Q8C4×D17semidirect
523. C17#34259semidirect
686. C2×C4#10587694semidirect

Maximal subgroups

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

subgroupindex
C22×#105876942
C2×#117632912
C2×C4×#632562
Q8×C22⋊Dic172
Q8×#632272
#145316152
#145316132
#145316122
#145313732
#145313672
#145312702
D17×#3912
Q8×C22⋊C4×C172
#3425917