Finite Group Databasebeta

← #17040739

Subgroups — #17040739

Order 4352.

1044 conjugacy classes of subgroups.

The subgroup lattice has 702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11762910C211yesmaximal, characteristic, complemented
2C2×SD16×Dic17C211yesmaximal, characteristic, complemented
3#14531510C211yesmaximal, characteristic
4#14531149C211yesmaximal, characteristic, complemented
5#14529712C211yesmaximal, characteristic
6#14529554C211yesmaximal, characteristic, complemented
7#14529413C211yesmaximal, characteristic, complemented
8#14529406C211yesmaximal, characteristic, complemented
9#14529141C211yesmaximal, characteristic, complemented
10#14529141C211yesmaximal, characteristic, complemented
11#14528799C211yesmaximal, characteristic, complemented
12#14528643C211yesmaximal, characteristic, complemented
13#14528611C211yesmaximal, characteristic, complemented
14#102×Dic17C211yesmaximal, characteristic, complemented
15C2×C17×#460C211yesmaximal, characteristic
16C2×Q8×Dic17C2211yescharacteristic
17C2×Q8×Dic17C2211yescharacteristic
18C2×D4×Dic17C2211yescharacteristic
19C2×D4×Dic17C2211yescharacteristic
20#11762910—24no—
21SD16×Dic17—24no—
22C2×#10587489C2211yescharacteristic
23C2×#10587488C2211yescharacteristic
24C2×C4⋊#3622C2211yescharacteristic
25C2×#10587506C2211yescharacteristic
26C2×#10587506C2211yescharacteristic
27C2×#10587503C2211yescharacteristic
28C2×#10587503C2211yescharacteristic
29C2×#10587503C2211yescharacteristic
30C2×#10587503C2211yescharacteristic
31C2×#10587486C2211yescharacteristic
32C2×C8×Dic17C2211yescharacteristic
33#11762712C2211yescharacteristic
34#11762712C2211yescharacteristic
35#11762689—21no—
36#11762689—21no—
37#11762689—21no—
38#11762689—21no—
39#11762675C2211yescharacteristic
40C4⋊C4×Dic17—21no—
41C4⋊C4×Dic17—21no—
42C4⋊C4×Dic17C2211yescharacteristic
43C4⋊C4×Dic17C2211yescharacteristic
44C4×C4⋊Dic17—21no—
45C4×C4⋊Dic17C2211yescharacteristic
46#11762655—21no—
47#11762655C2211yescharacteristic
48#11762572C2211yescharacteristic
49#11762572C2211yescharacteristic
50#11762571C2211yescharacteristic
51#11762571C2211yescharacteristic
52#11762563C2211yescharacteristic
53#11762563C2211yescharacteristic
54C22×SD16×C17C2211yescharacteristic
55C22×SD16×C17C2211yescharacteristic
56C2×C17×#127C2211yescharacteristic
57C2×C4×Q8×C17C2211yescharacteristic
58C17×#460C418yescomplemented
59C2×C17×C4⋊C8C2211yescharacteristic
60C2×C17×#102C2211yescharacteristic
61C2×C17×#102C2211yescharacteristic
62C22×Q8×C17C2311yescharacteristic
63C22×D4×C17—21no—
64C22×D4×C17—21no—
65C22×D4×C17C2311yescharacteristic
66C22×D4×C17C2311yescharacteristic
67C23×Dic17—21no—
68C23×Dic17—21no—
69C2×SD16×C17—22no—
70C2×SD16×C17—22no—
71C2×SD16×C17—22no—
72C2×SD16×C17—22no—
73C2×SD16×C17C2×C414yescomplemented
74C2×SD16×C17C2×C414yescomplemented
75C22×C8×C17C2311yescharacteristic
76C22×C8×C17C2311yescharacteristic
77C17×#127—22no—
78C17×#127C2×C414yes—
79C4×Q8×C17—22no—
80C4×Q8×C17C2×C414yescomplemented
81C2×C4⋊C4×C17—21no—
82C2×C4⋊C4×C17C2311yescharacteristic
83C2×C42×C17—21no—
84C2×C42×C17C2311yescharacteristic
85C2×C22⋊Dic17—21no—
86C2×C22⋊Dic17—21no—
87C2×C22⋊Dic17—21no—
88C2×C22⋊Dic17—21no—
89C2×C22⋊Dic17—21no—
90C2×C22⋊Dic17—21no—
91Q8×Dic17—22no—
92Q8×Dic17—22no—
93Q8×Dic17—22no—
94Q8×Dic17D414yescomplemented
95D4×Dic17—22no—
96D4×Dic17—22no—
97D4×Dic17—22no—
98D4×Dic17—22no—
99C2×C4⋊Dic17—21no—
100C2×C4⋊Dic17—21no—
101C2×C4⋊Dic17C2311yescharacteristic
102C2×C4⋊Dic17C2311yescharacteristic
103C2×C4⋊Dic17C2311yescharacteristic
104C2×C4⋊Dic17C2311yescharacteristic
105C2×C4×Dic17—21no—
106C2×C4×Dic17—21no—
107C2×C4×Dic17—21no—
108C2×C4×Dic17—21no—
109C2×C4×Dic17—21no—
110C2×C4×Dic17C2311yescharacteristic
111C2×C4×Dic17C2311yescharacteristic
112C22×#3622C2311yescharacteristic
113C22×#3622C2311yescharacteristic
114C17×C4⋊C8C2×C414yescomplemented
115C17×#102C2×C414yescomplemented
116C17×#102C2×C414yescomplemented
117#10587506—22no—
118#10587506—22no—
119#10587503—22no—
120#10587503—22no—
121#10587503—22no—
122#10587503—22no—
123#10587502—21no—
124#10587502—21no—
125#10587502—21no—
126#10587502—21no—
127#10587502—21no—
128#10587502D411yescharacteristic
129#10587502D411yescharacteristic
130#10587502D411yescharacteristic
131#10587502D411yescharacteristic
132#10587489—22no—
133#10587488—22no—
134#10587486—22no—
135C8×Dic17—22no—
136C4⋊#3622—22no—
137C24×C17—21no—
138C24×C17—21no—
139C2×Q8×C17—21no—
140C2×Q8×C17—21no—
141C2×Q8×C17—21no—
142C2×Q8×C17C22×C412yes—
143C2×Q8×C17C2×D412yes—
144C2×Q8×C17#4112yes—
145C2×D4×C17—24no—
146C2×D4×C17—24no—
147C2×D4×C17—21no—
148C2×D4×C17—21no—
149C2×D4×C17—21no—
150C2×D4×C17—21no—
151C2×D4×C17—21no—
152C2×D4×C17—21no—
153C2×D4×C17—21no—
154C2×D4×C17—21no—
155C2×D4×C17—21no—
156C2×D4×C17—21no—
157C2×D4×C17—81no—
158C2×D4×C17—81no—
159C2×D4×C17—81no—
160C2×D4×C17—81no—
161C2×D4×C17C22×C412yes—
162C2×D4×C17C22×C412yes—
163C22×C4×C17—21no—
164C22×C4×C17—21no—
165C22×C4×C17C2×D411yescharacteristic
166C22×C4×C17C2×D411yescharacteristic
167C22×C4×C17C2411yescharacteristic
168C22×Dic17—21no—
169C22×Dic17—21no—
170C22×Dic17—21no—
171C22×Dic17—21no—
172C22×Dic17—42no—
173C22×Dic17—42no—
174C22×Dic17—81no—
175C22×Dic17—81no—
176C22×Dic17—81no—
177C22×Dic17—81no—
178C22×Dic17C2×D411yescharacteristic
179C22×Dic17C2×D411yescharacteristic
180C22×Dic17C2×D411yescharacteristic
181C22×Dic17C2×D411yescharacteristic
182SD16×C17—28no—
183SD16×C17—28no—
184C2×C8×C17—21no—
185C2×C8×C17—21no—
186C2×C8×C17—21no—
187C2×C8×C17—21no—
188C2×C8×C17C22×C412yes—
189C2×C8×C17C22×C412yes—
190C4⋊C4×C17—24no—
191C4⋊C4×C17—21no—
192C4⋊C4×C17C22×C412yes—
193C42×C17—24no—
194C42×C17C22×C412yes—
195C42×C17#4112yes—
196C22⋊Dic17—42no—
197C22⋊Dic17—42no—
198C22⋊Dic17—81no—
199C22⋊Dic17—81no—
200C22⋊Dic17—81no—
201C22⋊Dic17—81no—
202C4⋊Dic17—24no—
203C4⋊Dic17—21no—
204C4⋊Dic17—21no—
205C4⋊Dic17—24no—
206C4⋊Dic17—21no—
207C4⋊Dic17—21no—
208C4⋊Dic17—21no—
209C4⋊Dic17—21no—
210C4⋊Dic17C2×D412yes—
211C4⋊Dic17#4112yes—
212C4×Dic17—24no—
213C4×Dic17—21no—
214C4×Dic17—21no—
215C4×Dic17—24no—
216C4×Dic17—81no—
217C4×Dic17—81no—
218C4×Dic17—81no—
219C4×Dic17C2×D412yes—
220C4×Dic17#4112yes—
221C2×#3622—21no—
222C2×#3622—21no—
223C2×#3622—21no—
224C2×#3622—21no—
225C2×#3622—21no—
226C2×#3622—21no—
227#21515—171nomaximal, Sylow
228C23×C17—22no—
229C23×C17—22no—
230C23×C17—41no—
231C23×C17—41no—
232C23×C17—41no—
233C23×C17—41no—
234C23×C17—41no—
235C23×C17—41no—
236C23×C17—41no—
237C23×C17—41no—
238C23×C17—41no—
239C23×C17—41no—
240C23×C17—41no—
241C23×C17—41no—
242C23×C17C22×D411yescharacteristic
243Q8×C17—22no—
244Q8×C17—22no—
245Q8×C17—22no—
246Q8×C17C4×D414yes—
247D4×C17—22no—
248D4×C17—22no—
249D4×C17—22no—
250D4×C17—22no—
251D4×C17—41no—
252D4×C17—41no—
253D4×C17—41no—
254D4×C17—41no—
255D4×C17—84no—
256D4×C17—84no—
257C2×C4×C17—22no—
258C2×C4×C17—22no—
259C2×C4×C17—22no—
260C2×C4×C17—21no—
261C2×C4×C17—21no—
262C2×C4×C17—21no—
263C2×C4×C17—21no—
264C2×C4×C17—22no—
265C2×C4×C17—41no—
266C2×C4×C17—41no—
267C2×C4×C17C4×D412yes—
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
275C2×Dic17—21no—
276C2×Dic17—21no—
277C2×Dic17—21no—
278C2×Dic17—21no—
279C2×Dic17—22no—
280C2×Dic17—22no—
281C2×Dic17—21no—
282C2×Dic17—21no—
283C2×Dic17—21no—
284C2×Dic17—21no—
285C2×Dic17—21no—
286C2×Dic17—21no—
287C2×Dic17—41no—
288C2×Dic17—41no—
289C2×Dic17—41no—
290C2×Dic17—41no—
291C2×Dic17—41no—
292C2×Dic17—41no—
293C2×Dic17—41no—
294C2×Dic17—41no—
295C2×Dic17—41no—
296C2×Dic17—41no—
297C2×Dic17—84no—
298C2×Dic17—84no—
299C2×Dic17#12112yes—
300C2×Dic17#12112yes—
301C8×C17—22no—
302C8×C17—22no—
303#3622—41no—
304#3622—41no—
305C2×#460D1711yescharacteristic
306C2×#440—171no—
307C2×C4×SD16—171no—
308#2328—171no—
309#2276—171no—
310#1982—171no—
311#1949—171no—
312#1926—171no—
313#1925—171no—
314#1880—171no—
315#1880—171no—
316#1805—171no—
317#1768—171no—
318#1762—171no—
319C4×#102—171no—
320C22×C17—42no—
321C22×C17—42no—
322C22×C17—42no—
323C22×C17—42no—
324C22×C17—42no—
325C22×C17—42no—
326C22×C17—81no—
327C22×C17—81no—
328C22×C17—81no—
329C22×C17—81no—
330C22×C17—81no—
331C22×C17—81no—
332C22×C17—81no—
333C22×C17—81no—
334C22×C17C2×C4×D411yescharacteristic
335C22×C17C2×#12111yescharacteristic
336C22×C17#52511yescharacteristic
337C22×C17#57611yescharacteristic
338C22×C17#57711yescharacteristic
339C22×C17#57711yescharacteristic
340C22×C17#57711yescharacteristic
341C4×C17—22no—
342C4×C17—22no—
343C4×C17—24no—
344C4×C17—42no—
345C4×C17C2×C4×D411yescharacteristic
346C4×C17C4×#4111yescharacteristic
347C4×C17#52911yescharacteristic
348C4×C17#53211yescharacteristic
349Dic17—22no—
350Dic17—22no—
351Dic17—41no—
352Dic17—42no—
353Dic17—41no—
354Dic17—42no—
355Dic17—81no—
356Dic17—81no—
357C22×SD16C2×D1711yescharacteristic
358C22×SD16C2×D1711yescharacteristic
359C2×#127C2×D1711yescharacteristic
360C2×C4×Q8—171no—
361C2×C4×Q8—171no—
362C2×C4×Q8C2×D1711yescharacteristic
363C2×C4×D4—171no—
364C2×C4×D4—171no—
365#460Dic1718yescomplemented
366#440—344no—
367C4×SD16—344no—
368C2×#107—171no—
369C2×#106—171no—
370C2×C4⋊C8—171no—
371C2×C4⋊C8C2×D1711yescharacteristic
372C2×#103—171no—
373C2×#103—171no—
374C2×#102—171no—
375C2×#102—171no—
376C2×#102—171no—
377C2×#102—171no—
378C2×#102C2×D1711yescharacteristic
379C2×#102C2×D1711yescharacteristic
380C2×#97—171no—
381C2×C4×C8—171no—
382#390—171no—
383#390—171no—
384#386—341no—
385#386—341no—
386#386—341no—
387#386—341no—
388#382—171no—
389C4×C4⋊C4—171no—
390C4×C4⋊C4—171no—
391C4×C4⋊C4—171no—
392C4×C4⋊C4—341no—
393C4×C4⋊C4—341no—
394C4×C4⋊C4—341no—
395#376—171no—
396#376—341no—
397#340—171no—
398#340—171no—
399#340—171no—
400#340—171no—
401#336—171no—
402#336—171no—
403C2×C17—82no—
404C2×C17—82no—
405C2×C17C4×#12111yescharacteristic
406C2×C17#294611yescharacteristic
407C2×C17#294911yescharacteristic
408C2×C17#304311yescharacteristic
409C2×C17#304511yescharacteristic
410C2×C17#311911yescharacteristic
411C2×C17#312611yescharacteristic
412C22×Q8C22×D1711yescharacteristic
413C22×D4—21no—
414C22×D4—21no—
415C22×D4C22×D1711yescharacteristic
416C22×D4C22×D1711yescharacteristic
417C23×C4—341no—
418C23×C4—341no—
419C2×SD16—22no—
420C2×SD16—22no—
421C2×SD16—22no—
422C2×SD16—22no—
423C2×SD16C2×Dic1714yescomplemented
424C2×SD16C2×Dic1714yescomplemented
425C22×C8—171no—
426C22×C8—171no—
427C22×C8C22×D1711yescharacteristic
428C22×C8C22×D1711yescharacteristic
429#127—22no—
430#127C2×Dic1714yes—
431C4×Q8—22no—
432C4×Q8—174no—
433C4×Q8—342no—
434C4×Q8—342no—
435C4×Q8—342no—
436C4×Q8C2×Dic1714yescomplemented
437C4×D4—342no—
438C4×D4—342no—
439C4×D4—342no—
440C4×D4—342no—
441C2×C4⋊C4—21no—
442C2×C4⋊C4—171no—
443C2×C4⋊C4—171no—
444C2×C4⋊C4—171no—
445C2×C4⋊C4—171no—
446C2×C4⋊C4—341no—
447C2×C4⋊C4—341no—
448C2×C4⋊C4C22×D1711yescharacteristic
449C2×C22⋊C4—341no—
450C2×C22⋊C4—341no—
451C2×C22⋊C4—341no—
452C2×C22⋊C4—341no—
453C2×C22⋊C4—341no—
454C2×C22⋊C4—341no—
455C2×C42—21no—
456C2×C42—171no—
457C2×C42—171no—
458C2×C42—341no—
459C2×C42—341no—
460C2×C42—341no—
461C2×C42—341no—
462C2×C42—341no—
463C2×C42C22×D1711yescharacteristic
464#107—342no—
465#106—342no—
466C4⋊C8—342no—
467C4⋊C8C2×Dic1714yescomplemented
468#103—342no—
469#103—342no—
470#102—342no—
471#102—342no—
472#102—342no—
473#102—342no—
474#102C2×Dic1714yescomplemented
475#102C2×Dic1714yescomplemented
476#97—342no—
477C4×C8—342no—
478#95—171no—
479#95—171no—
480#95—171no—
481#95—171no—
482#95—341no—
483#95—341no—
484#95—341no—
485#95—341no—
486#95—341no—
487C17#2151511yescharacteristic, complemented, Sylow
488C24—21no—
489C24—21no—
490C2×Q8—21no—
491C2×Q8—21no—
492C2×Q8—21no—
493C2×Q8D4×D1712yes—
494C2×Q8#6325412yes—
495C2×Q8C22×Dic1712yes—
496C2×D4—21no—
497C2×D4—21no—
498C2×D4—21no—
499C2×D4—21no—
500C2×D4—21no—
501C2×D4—21no—
502C2×D4—21no—
503C2×D4—21no—
504C2×D4—21no—
505C2×D4—21no—
506C2×D4—24no—
507C2×D4—24no—
508C2×D4—81no—
509C2×D4—81no—
510C2×D4—81no—
511C2×D4—81no—
512C2×D4C22×Dic1712yes—
513C2×D4C22×Dic1712yes—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—171no—
517C22×C4—171no—
518C22×C4—171no—
519C22×C4—171no—
520C22×C4—341no—
521C22×C4—341no—
522C22×C4—341no—
523C22×C4—341no—
524C22×C4—682no—
525C22×C4—682no—
526C22×C4—1361no—
527C22×C4—1361no—
528C22×C4—1361no—
529C22×C4—1361no—
530C22×C4D4×D1711yescharacteristic
531C22×C4D4×D1711yescharacteristic
532C22×C4C23×D1711yescharacteristic
533SD16—28no—
534SD16—28no—
535C2×C8—21no—
536C2×C8—21no—
537C2×C8—21no—
538C2×C8—21no—
539C2×C8—341no—
540C2×C8—341no—
541C2×C8—341no—
542C2×C8—341no—
543C2×C8—341no—
544C2×C8—341no—
545C2×C8C22×Dic1712yes—
546C2×C8C22×Dic1712yes—
547C4⋊C4—21no—
548C4⋊C4—24no—
549C4⋊C4—172no—
550C4⋊C4—172no—
551C4⋊C4—344no—
552C4⋊C4—344no—
553C4⋊C4—341no—
554C4⋊C4—341no—
555C4⋊C4—341no—
556C4⋊C4—341no—
557C4⋊C4—341no—
558C4⋊C4—341no—
559C4⋊C4C22×Dic1712yes—
560C22⋊C4—682no—
561C22⋊C4—682no—
562C22⋊C4—1361no—
563C22⋊C4—1361no—
564C22⋊C4—1361no—
565C22⋊C4—1361no—
566C42—24no—
567C42—172no—
568C42—172no—
569C42—344no—
570C42—344no—
571C42—341no—
572C42—341no—
573C42—1361no—
574C42—1361no—
575C42—1361no—
576C42#6325412yes—
577C42C22×Dic1712yes—
578C23—22no—
579C23—22no—
580C23—41no—
581C23—41no—
582C23—41no—
583C23—41no—
584C23—41no—
585C23—41no—
586C23—41no—
587C23—41no—
588C23—41no—
589C23—41no—
590C23—41no—
591C23—41no—
592C23C2×D4×D1711yescharacteristic
593Q8—22no—
594Q8—22no—
595Q8—22no—
596Q8D4×Dic1714yes—
597D4—22no—
598D4—22no—
599D4—22no—
600D4—22no—
601D4—41no—
602D4—41no—
603D4—41no—
604D4—41no—
605D4—84no—
606D4—84no—
607C2×C4—22no—
608C2×C4—22no—
609C2×C4—22no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—22no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—172no—
618C2×C4—172no—
619C2×C4—341no—
620C2×C4—341no—
621C2×C4—341no—
622C2×C4—341no—
623C2×C4—342no—
624C2×C4—341no—
625C2×C4—342no—
626C2×C4—341no—
627C2×C4—341no—
628C2×C4—341no—
629C2×C4—341no—
630C2×C4—341no—
631C2×C4—681no—
632C2×C4—681no—
633C2×C4—681no—
634C2×C4—681no—
635C2×C4—681no—
636C2×C4—681no—
637C2×C4—681no—
638C2×C4—681no—
639C2×C4—681no—
640C2×C4—681no—
641C2×C4—1364no—
642C2×C4—1364no—
643C2×C4D4×Dic1712yes—
644C2×C4D4×Dic1712yes—
645C2×C4C2×D4×D1711yescharacteristic
646C2×C4C2×#6325411yescharacteristic
647C2×C4C2×#6325411yescharacteristic
648C2×C4#41×D1711yescharacteristic
649C2×C4#41×D1711yescharacteristic
650C2×C4C23×Dic1711yescharacteristic
651C8—22no—
652C8—22no—
653C8—681no—
654C8—681no—
655C22—42no—
656C22—42no—
657C22—42no—
658C22—42no—
659C22—42no—
660C22—42no—
661C22—81no—
662C22—81no—
663C22—81no—
664C22—81no—
665C22—81no—
666C22—81no—
667C22—81no—
668C22—81no—
669C22C2×D4×Dic1711yescharacteristic
670C22#121×D1711yescharacteristic
671C22#1176331911yescharacteristic
672C22#1176361311yescharacteristic
673C22#1176361511yescharacteristic
674C22#1176361511yescharacteristic
675C22#1176361911yescharacteristic
676C4—22no—
677C4—22no—
678C4—24no—
679C4—42no—
680C4—342no—
681C4—342no—
682C4—681no—
683C4—682no—
684C4—681no—
685C4—682no—
686C4—1361no—
687C4—1361no—
688C4C2×D4×Dic1711yescharacteristic
689C4#41×Dic1711yescharacteristic
690C4#1176334011yescharacteristic
691C4#1176335411yescharacteristic
692C2—82no—
693C2—82no—
694C2#121×Dic1711yescharacteristic
695C2#1453761711yescharacteristic
696C2#1453764411yescharacteristic
697C2#1453830011yescharacteristic
698C2#1453832011yescharacteristic
699C2#1453898211yescharacteristic
700C2#1453907311yescharacteristic
subgroupG/H
centerC23C2×D4×D17
commutatorC2×C4×C17C23×C4
FrattiniC22×C4C23×D17
FittingC2×C17×#460C2
socleC23×C17C22×D4
prime radicalC2×C17×#127C22
cosocleC22×C4×C17C24
hypercenterC2×#460D17
hypocenterC17#21515
LCSG ▷ C2×C4×C17 ▷ C2×C17 ▷ C17
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#460

Complements

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

NH ≅ G/Ntype
1. C2×#11762910C2semidirect
2. C2×SD16×Dic17C2semidirect
4. #14531149C2semidirect
6. #14529554C2semidirect
7. #14529413C2semidirect
8. #14529406C2semidirect
9. #14529141C2semidirect
10. #14529141C2semidirect
11. #14528799C2semidirect
12. #14528643C2semidirect
13. #14528611C2semidirect
14. #102×Dic17C2semidirect
58. C17×#460C4semidirect
73. C2×SD16×C17C2×C4semidirect
74. C2×SD16×C17C2×C4semidirect
80. C4×Q8×C17C2×C4semidirect
94. Q8×Dic17D4semidirect
114. C17×C4⋊C8C2×C4semidirect
115. C17×#102C2×C4semidirect
116. C17×#102C2×C4semidirect
365. #460Dic17semidirect
423. C2×SD16C2×Dic17semidirect
424. C2×SD16C2×Dic17semidirect
436. C4×Q8C2×Dic17semidirect
467. C4⋊C8C2×Dic17semidirect
474. #102C2×Dic17semidirect
475. #102C2×Dic17semidirect
487. C17#21515semidirect

Maximal subgroups

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

subgroupindex
C2×#117629102
C2×SD16×Dic172
#145315102
#145311492
#145297122
#145295542
#145294132
#145294062
#145291412
#145287992
#145286432
#145286112
#102×Dic172
C2×C17×#4602
#2151517