Finite Group Databasebeta

← #17045557

Subgroups — #17045557

Order 4352.

1000 conjugacy classes of subgroups.

The subgroup lattice has 726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22⋊Q8×Dic17C211yesmaximal, characteristic, complemented
2#14531275C211yesmaximal, characteristic
3#14529667C211yesmaximal, characteristic, complemented
4#14529656C211yesmaximal, characteristic, complemented
5#14529483C211yesmaximal, characteristic, complemented
6#14529476C211yesmaximal, characteristic, complemented
7#14529427C211yesmaximal, characteristic, complemented
8#14529413C211yesmaximal, characteristic, complemented
9#14529141C211yesmaximal, characteristic, complemented
10#14529127C211yesmaximal, characteristic, complemented
11#14529097C211yesmaximal, characteristic, complemented
12#14528985C211yesmaximal, characteristic, complemented
13#14528724C211yesmaximal, characteristic
14#14528548C211yesmaximal, characteristic, complemented
15C2×C17×#452C211yesmaximal, characteristic
16C2×Q8×Dic17C2211yescharacteristic
17C2×#10587612C2211yescharacteristic
18C22×C4×Dic17C2211yescharacteristic
19C2×#10587489C2211yescharacteristic
20C2×#10587488C2211yescharacteristic
21C2×#10587506C2211yescharacteristic
22C2×#10587506C2211yescharacteristic
23C2×#10587506C2211yescharacteristic
24C2×#10587506C2211yescharacteristic
25C2×#10587503C2211yescharacteristic
26C2×#10587503C2211yescharacteristic
27C2×C22⋊#3622C2211yescharacteristic
28C2×#10587486C2211yescharacteristic
29C2×#10587486C2211yescharacteristic
30#11762716C2211yescharacteristic
31#11762716C2211yescharacteristic
32#11762716C2211yescharacteristic
33#11762712C2211yescharacteristic
34#11762712C2211yescharacteristic
35#11762708C2211yescharacteristic
36#11762695—21no—
37#11762689—21no—
38#11762689—21no—
39#11762684—21no—
40#11762669C2211yescharacteristic
41C4⋊C4×Dic17—21no—
42C4⋊C4×Dic17C2211yescharacteristic
43C22⋊C4×Dic17—21no—
44C4×C22⋊Dic17—21no—
45C4×C22⋊Dic17—21no—
46#11762572C2211yescharacteristic
47#11762572C2211yescharacteristic
48#11762571C2211yescharacteristic
49#11762571C2211yescharacteristic
50#11762563C2211yescharacteristic
51#11762563C2211yescharacteristic
52C22×#41×C17C2211yescharacteristic
53C22×Q16×C17C2211yescharacteristic
54C22×SD16×C17C2211yescharacteristic
55C2×C17×C22⋊Q8C2211yescharacteristic
56C17×#452C418yescomplemented
57C2×C17×#103C2211yescharacteristic
58C2×C17×#102C2211yescharacteristic
59C2×C17×C22⋊C8C2211yescharacteristic
60C2×#41×C17—22no—
61C2×#41×C17—41no—
62C2×#41×C17—41no—
63C2×#41×C17—41no—
64C2×#41×C17—41no—
65C2×#41×C17C2×C414yes—
66C22×Q8×C17C2311yescharacteristic
67C22×Q8×C17C2311yescharacteristic
68C22×D4×C17—21no—
69C22×D4×C17C2311yescharacteristic
70C23×C4×C17—21no—
71C23×C4×C17C2311yescharacteristic
72C23×Dic17D411yescharacteristic
73C23×Dic17D411yescharacteristic
74C2×Q16×C17—41no—
75C2×Q16×C17—41no—
76C2×Q16×C17C2×C414yescomplemented
77C2×SD16×C17—41no—
78C2×SD16×C17—41no—
79C2×SD16×C17C2×C414yescomplemented
80C22×C8×C17C2311yescharacteristic
81C22×C8×C17C2311yescharacteristic
82C17×C22⋊Q8—22no—
83C17×C22⋊Q8C2×C414yes—
84C2×C4⋊C4×C17—21no—
85C2×C4⋊C4×C17C2311yescharacteristic
86C2×C22⋊C4×C17—21no—
87C2×C22⋊Dic17—21no—
88C2×C22⋊Dic17—21no—
89C2×C22⋊Dic17—21no—
90C2×C22⋊Dic17—21no—
91C2×C22⋊Dic17—21no—
92C2×C22⋊Dic17—21no—
93Q8×Dic17—41no—
94Q8×Dic17—41no—
95#10587612—41no—
96#10587612—41no—
97C2×C4⋊Dic17—21no—
98C2×C4⋊Dic17—21no—
99C2×C4⋊Dic17C2311yescharacteristic
100C2×C4⋊Dic17C2311yescharacteristic
101C2×C4⋊Dic17C2311yescharacteristic
102C2×C4⋊Dic17C2311yescharacteristic
103C2×C4×Dic17—21no—
104C2×C4×Dic17—21no—
105C2×C4×Dic17—21no—
106C2×C4×Dic17—41no—
107C2×C4×Dic17—41no—
108C2×C4×Dic17D411yescharacteristic
109C2×C4×Dic17D411yescharacteristic
110C2×C4×Dic17C2311yescharacteristic
111C2×C4×Dic17C2311yescharacteristic
112C22×#3622C2311yescharacteristic
113C22×#3622C2311yescharacteristic
114C17×#103C2×C414yescomplemented
115C17×#102C2×C414yescomplemented
116C17×C22⋊C8C2×C414yes—
117#10587506—41no—
118#10587506—41no—
119#10587506—41no—
120#10587506—41no—
121#10587503—41no—
122#10587503—41no—
123#10587502—21no—
124#10587502—21no—
125#10587502—21no—
126#10587502—21no—
127#10587502—21no—
128#10587502—21no—
129#10587502—21no—
130#10587502—21no—
131#10587502—21no—
132C22⋊#3622—22no—
133#10587489—41no—
134#10587488—41no—
135#10587486—41no—
136#10587486—41no—
137C24×C17—21no—
138C24×C17C2×D411yescharacteristic
139#41×C17—44no—
140#41×C17—44no—
141#41×C17—44no—
142#41×C17—44no—
143C2×Q8×C17—21no—
144C2×Q8×C17—21no—
145C2×Q8×C17—21no—
146C2×Q8×C17—21no—
147C2×Q8×C17—21no—
148C2×Q8×C17—21no—
149C2×Q8×C17—21no—
150C2×Q8×C17—21no—
151C2×Q8×C17—21no—
152C2×Q8×C17—21no—
153C2×Q8×C17C22×C412yes—
154C2×Q8×C17C22×C412yes—
155C2×D4×C17—24no—
156C2×D4×C17—21no—
157C2×D4×C17—21no—
158C2×D4×C17—21no—
159C2×D4×C17—21no—
160C2×D4×C17—21no—
161C2×D4×C17—42no—
162C2×D4×C17—42no—
163C2×D4×C17C22×C412yes—
164C22×C4×C17—21no—
165C22×C4×C17—21no—
166C22×C4×C17—21no—
167C22×C4×C17—21no—
168C22×C4×C17—21no—
169C22×C4×C17—21no—
170C22×C4×C17—21no—
171C22×C4×C17—24no—
172C22×C4×C17—42no—
173C22×C4×C17—42no—
174C22×C4×C17C22×C412yes—
175C22×C4×C17C2×D411yescharacteristic
176C22×C4×C17#4112yes—
177C22×C4×C17C2411yescharacteristic
178C22×Dic17—22no—
179C22×Dic17—21no—
180C22×Dic17—21no—
181C22×Dic17—21no—
182C22×Dic17—21no—
183C22×Dic17—41no—
184C22×Dic17—41no—
185C22×Dic17—41no—
186C22×Dic17—41no—
187C22×Dic17—41no—
188C22×Dic17C2×D411yescharacteristic
189C22×Dic17C2×D411yescharacteristic
190C22×Dic17C2×D411yescharacteristic
191C22×Dic17C2×D411yescharacteristic
192Q16×C17—44no—
193SD16×C17—44no—
194C2×C8×C17—21no—
195C2×C8×C17—21no—
196C2×C8×C17—21no—
197C2×C8×C17—21no—
198C2×C8×C17C22×C412yes—
199C2×C8×C17C22×C412yes—
200C4⋊C4×C17—24no—
201C4⋊C4×C17—21no—
202C4⋊C4×C17C22×C412yes—
203C22⋊C4×C17—24no—
204C22⋊Dic17—42no—
205C22⋊Dic17—42no—
206C22⋊Dic17—42no—
207C22⋊Dic17—42no—
208C22⋊Dic17—42no—
209C22⋊Dic17—42no—
210C4⋊Dic17—21no—
211C4⋊Dic17—21no—
212C4⋊Dic17—21no—
213C4⋊Dic17—21no—
214C4⋊Dic17—21no—
215C4⋊Dic17—21no—
216C4⋊Dic17—21no—
217C4⋊Dic17—21no—
218C4⋊Dic17—42no—
219C4⋊Dic17—42no—
220C4×Dic17—21no—
221C4×Dic17—21no—
222C4×Dic17—21no—
223C4×Dic17—21no—
224C4×Dic17—41no—
225C4×Dic17—41no—
226C4×Dic17—42no—
227C4×Dic17—42no—
228C4×Dic17—42no—
229C2×#3622—21no—
230C2×#3622—21no—
231C2×#3622—21no—
232C2×#3622—21no—
233C2×#3622—21no—
234C2×#3622—21no—
235#22048—171nomaximal, Sylow
236C23×C17—21no—
237C23×C17—21no—
238C23×C17—21no—
239C23×C17—21no—
240C23×C17—21no—
241C23×C17—21no—
242C23×C17—22no—
243C23×C17—41no—
244C23×C17—41no—
245C23×C17—41no—
246C23×C17—41no—
247C23×C17—41no—
248C23×C17—41no—
249C23×C17C4×D412yes—
250C23×C17C22×D411yescharacteristic
251Q8×C17—22no—
252Q8×C17—22no—
253Q8×C17—22no—
254Q8×C17—22no—
255Q8×C17—41no—
256Q8×C17—41no—
257Q8×C17—41no—
258Q8×C17—41no—
259D4×C17—22no—
260D4×C17—22no—
261D4×C17—48no—
262D4×C17—41no—
263D4×C17—41no—
264C2×C4×C17—21no—
265C2×C4×C17—21no—
266C2×C4×C17—22no—
267C2×C4×C17—22no—
268C2×C4×C17—22no—
269C2×C4×C17—22no—
270C2×C4×C17—22no—
271C2×C4×C17—22no—
272C2×C4×C17—22no—
273C2×C4×C17—48no—
274C2×C4×C17—41no—
275C2×C4×C17—41no—
276C2×C4×C17—41no—
277C2×C4×C17—41no—
278C2×C4×C17—41no—
279C2×C4×C17—41no—
280C2×C4×C17C4×D412yes—
281C2×C4×C17C23×C411yescharacteristic
282C2×C4×C17C2×#4111yescharacteristic
283C2×C4×C17H(5,𝔽2)11yescharacteristic
284C2×C4×C17H(5,𝔽2)11yescharacteristic
285C2×C4×C17H(5,𝔽2)11yescharacteristic
286C2×C4×C17H(5,𝔽2)11yescharacteristic
287C2×Dic17—21no—
288C2×Dic17—21no—
289C2×Dic17—21no—
290C2×Dic17—21no—
291C2×Dic17—21no—
292C2×Dic17—21no—
293C2×Dic17—21no—
294C2×Dic17—21no—
295C2×Dic17—21no—
296C2×Dic17—21no—
297C2×Dic17—21no—
298C2×Dic17—44no—
299C2×Dic17—44no—
300C2×Dic17—41no—
301C2×Dic17—41no—
302C2×Dic17—41no—
303C2×Dic17—41no—
304C2×Dic17—41no—
305C2×Dic17—41no—
306C2×Dic17—41no—
307C2×Dic17—41no—
308C2×Dic17—41no—
309C2×Dic17—41no—
310C2×Dic17—41no—
311C2×Dic17—41no—
312C2×Dic17#13712yes—
313C8×C17—22no—
314C8×C17—22no—
315#3622—41no—
316#3622—41no—
317C2×#452D1711yescharacteristic
318C4×C22⋊Q8—171no—
319#2297—171no—
320#1973—171no—
321#1971—171no—
322#1936—171no—
323#1935—171no—
324#1928—171no—
325#1926—171no—
326#1880—171no—
327#1878—171no—
328#1873—171no—
329#1854—171no—
330#1788—171no—
331#1749—171no—
332C22×C17—22no—
333C22×C17—22no—
334C22×C17—22no—
335C22×C17—41no—
336C22×C17—41no—
337C22×C17—41no—
338C22×C17—41no—
339C22×C17—42no—
340C22×C17—42no—
341C22×C17—42no—
342C22×C17—81no—
343C22×C17—81no—
344C22×C17—81no—
345C22×C17—81no—
346C22×C17C2×C4×D411yescharacteristic
347C22×C17#53411yescharacteristic
348C22×C17#53511yescharacteristic
349C22×C17C2×#13711yescharacteristic
350C22×C17#57511yescharacteristic
351C22×C17#57511yescharacteristic
352C22×C17#57511yescharacteristic
353C4×C17—22no—
354C4×C17—42no—
355C4×C17—42no—
356C4×C17—42no—
357C4×C17#51811yescharacteristic
358C4×C17#51811yescharacteristic
359C4×C17#53811yescharacteristic
360C4×C17#53811yescharacteristic
361Dic17—22no—
362Dic17—41no—
363Dic17—41no—
364Dic17—41no—
365Dic17—81no—
366Dic17—81no—
367Dic17—81no—
368Dic17—81no—
369C22×#41C2×D1711yescharacteristic
370C22×Q16C2×D1711yescharacteristic
371C22×SD16C2×D1711yescharacteristic
372C2×C22⋊Q8C2×D1711yescharacteristic
373C2×C4×Q8—171no—
374C2×#117—171no—
375C22×C42—171no—
376#452Dic1718yescomplemented
377C2×#107—171no—
378C2×#106—171no—
379C2×#103—171no—
380C2×#103—171no—
381C2×#103—171no—
382C2×#103—171no—
383C2×#103C2×D1711yescharacteristic
384C2×#102—171no—
385C2×#102—171no—
386C2×#102C2×D1711yescharacteristic
387C2×C22⋊C8—171no—
388C2×C22⋊C8C2×D1711yescharacteristic
389C2×#97—171no—
390C2×#97—171no—
391#391—171no—
392#391—171no—
393#391—171no—
394#390—171no—
395#390—171no—
396#389—171no—
397#387—341no—
398#386—341no—
399#386—341no—
400#385—341no—
401#380—171no—
402C4×C4⋊C4—171no—
403C4×C4⋊C4—341no—
404C4×C22⋊C4—341no—
405C4×C22⋊C4—341no—
406C4×C22⋊C4—341no—
407#340—171no—
408#340—171no—
409#340—171no—
410#340—171no—
411#336—171no—
412#336—171no—
413C2×C17—42no—
414C2×C17—82no—
415C2×C17#232111yescharacteristic
416C2×C17#294311yescharacteristic
417C2×C17C4×#13711yescharacteristic
418C2×C17#319611yescharacteristic
419C2×C17#319711yescharacteristic
420C2×C17#321611yescharacteristic
421C2×C17#321911yescharacteristic
422C2×#41—22no—
423C2×#41—41no—
424C2×#41—41no—
425C2×#41—41no—
426C2×#41—41no—
427C2×#41C2×Dic1714yes—
428C22×Q8C22×D1711yescharacteristic
429C22×Q8C22×D1711yescharacteristic
430C22×D4—21no—
431C22×D4C22×D1711yescharacteristic
432C23×C4—21no—
433C23×C4—171no—
434C23×C4—171no—
435C23×C4C22×D1711yescharacteristic
436C2×Q16—41no—
437C2×Q16—41no—
438C2×Q16C2×Dic1714yescomplemented
439C2×SD16—41no—
440C2×SD16—41no—
441C2×SD16C2×Dic1714yescomplemented
442C22×C8—171no—
443C22×C8—171no—
444C22×C8C22×D1711yescharacteristic
445C22×C8C22×D1711yescharacteristic
446C22⋊Q8—22no—
447C22⋊Q8C2×Dic1714yes—
448C4×Q8—681no—
449C4×Q8—681no—
450#117—681no—
451#117—681no—
452C2×C4⋊C4—21no—
453C2×C4⋊C4—171no—
454C2×C4⋊C4—171no—
455C2×C4⋊C4—171no—
456C2×C4⋊C4—171no—
457C2×C4⋊C4—341no—
458C2×C4⋊C4—341no—
459C2×C4⋊C4C22×D1711yescharacteristic
460C2×C22⋊C4—21no—
461C2×C22⋊C4—341no—
462C2×C22⋊C4—341no—
463C2×C22⋊C4—341no—
464C2×C22⋊C4—341no—
465C2×C22⋊C4—341no—
466C2×C22⋊C4—341no—
467C2×C42—171no—
468C2×C42—171no—
469C2×C42—171no—
470C2×C42—171no—
471C2×C42—341no—
472C2×C42—341no—
473C2×C42—341no—
474C2×C42—681no—
475C2×C42—681no—
476#107—681no—
477#106—681no—
478#103—681no—
479#103—681no—
480#103—681no—
481#103—681no—
482#103C2×Dic1714yescomplemented
483#102—681no—
484#102—681no—
485#102C2×Dic1714yescomplemented
486C22⋊C8—342no—
487C22⋊C8C2×Dic1714yes—
488#97—681no—
489#97—681no—
490#95—341no—
491#95—341no—
492#95—341no—
493#95—341no—
494#95—341no—
495#95—341no—
496#95—341no—
497#95—341no—
498#95—341no—
499C17#2204811yescharacteristic, complemented, Sylow
500C24—21no—
501C24D4×D1711yescharacteristic
502#41—44no—
503#41—44no—
504#41—44no—
505#41—44no—
506C2×Q8—21no—
507C2×Q8—21no—
508C2×Q8—21no—
509C2×Q8—21no—
510C2×Q8—21no—
511C2×Q8—21no—
512C2×Q8—21no—
513C2×Q8—21no—
514C2×Q8—21no—
515C2×Q8—21no—
516C2×Q8C22×Dic1712yes—
517C2×Q8C22×Dic1712yes—
518C2×D4—24no—
519C2×D4—21no—
520C2×D4—21no—
521C2×D4—21no—
522C2×D4—21no—
523C2×D4—21no—
524C2×D4—42no—
525C2×D4—42no—
526C2×D4C22×Dic1712yes—
527C22×C4—21no—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—21no—
531C22×C4—21no—
532C22×C4—21no—
533C22×C4—21no—
534C22×C4—24no—
535C22×C4—42no—
536C22×C4—42no—
537C22×C4—171no—
538C22×C4—171no—
539C22×C4—171no—
540C22×C4—171no—
541C22×C4—342no—
542C22×C4—341no—
543C22×C4—341no—
544C22×C4—341no—
545C22×C4—341no—
546C22×C4—681no—
547C22×C4—681no—
548C22×C4—681no—
549C22×C4—681no—
550C22×C4—681no—
551C22×C4D4×D1711yescharacteristic
552C22×C4#6325412yes—
553C22×C4C22×Dic1712yes—
554C22×C4C23×D1711yescharacteristic
555Q16—44no—
556SD16—44no—
557C2×C8—21no—
558C2×C8—21no—
559C2×C8—21no—
560C2×C8—21no—
561C2×C8—341no—
562C2×C8—341no—
563C2×C8—341no—
564C2×C8—341no—
565C2×C8—341no—
566C2×C8—341no—
567C2×C8C22×Dic1712yes—
568C2×C8C22×Dic1712yes—
569C4⋊C4—21no—
570C4⋊C4—24no—
571C4⋊C4—341no—
572C4⋊C4—341no—
573C4⋊C4—341no—
574C4⋊C4—341no—
575C4⋊C4—341no—
576C4⋊C4—341no—
577C4⋊C4—341no—
578C4⋊C4—341no—
579C4⋊C4—682no—
580C4⋊C4—682no—
581C4⋊C4C22×Dic1712yes—
582C22⋊C4—24no—
583C22⋊C4—682no—
584C22⋊C4—682no—
585C22⋊C4—682no—
586C22⋊C4—682no—
587C22⋊C4—682no—
588C22⋊C4—682no—
589C42—341no—
590C42—341no—
591C42—341no—
592C42—341no—
593C42—681no—
594C42—681no—
595C42—682no—
596C42—682no—
597C42—682no—
598C23—21no—
599C23—21no—
600C23—21no—
601C23—21no—
602C23—21no—
603C23—21no—
604C23—22no—
605C23—41no—
606C23—41no—
607C23—41no—
608C23—41no—
609C23—41no—
610C23—41no—
611C23D4×Dic1712yes—
612C23C2×D4×D1711yescharacteristic
613Q8—22no—
614Q8—22no—
615Q8—22no—
616Q8—22no—
617Q8—41no—
618Q8—41no—
619Q8—41no—
620Q8—41no—
621D4—22no—
622D4—22no—
623D4—48no—
624D4—41no—
625D4—41no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—22no—
635C2×C4—48no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—172no—
643C2×C4—341no—
644C2×C4—341no—
645C2×C4—341no—
646C2×C4—341no—
647C2×C4—341no—
648C2×C4—341no—
649C2×C4—341no—
650C2×C4—341no—
651C2×C4—341no—
652C2×C4—341no—
653C2×C4—341no—
654C2×C4—684no—
655C2×C4—684no—
656C2×C4—681no—
657C2×C4—681no—
658C2×C4—681no—
659C2×C4—681no—
660C2×C4—681no—
661C2×C4—681no—
662C2×C4—681no—
663C2×C4—681no—
664C2×C4—681no—
665C2×C4—681no—
666C2×C4—681no—
667C2×C4—681no—
668C2×C4D4×Dic1712yes—
669C2×C4C2×#6325411yescharacteristic
670C2×C4#1058769111yescharacteristic
671C2×C4#1058769111yescharacteristic
672C2×C4#1058769111yescharacteristic
673C2×C4#1058769111yescharacteristic
674C2×C4C23×Dic1711yescharacteristic
675C8—22no—
676C8—22no—
677C8—681no—
678C8—681no—
679C22—22no—
680C22—22no—
681C22—22no—
682C22—41no—
683C22—41no—
684C22—41no—
685C22—41no—
686C22—42no—
687C22—42no—
688C22—42no—
689C22—81no—
690C22—81no—
691C22—81no—
692C22—81no—
693C22C2×D4×Dic1711yescharacteristic
694C22#1176336911yescharacteristic
695C22#1176337411yescharacteristic
696C22#137×D1711yescharacteristic
697C22#1176360611yescharacteristic
698C22#1176360611yescharacteristic
699C22#1176360811yescharacteristic
700C4—22no—
701C4—42no—
702C4—42no—
703C4—42no—
704C4—342no—
705C4—681no—
706C4—681no—
707C4—681no—
708C4—1361no—
709C4—1361no—
710C4—1361no—
711C4—1361no—
712C4#1176328411yescharacteristic
713C4#1176328411yescharacteristic
714C4#1176339411yescharacteristic
715C4#1176339411yescharacteristic
716C2—42no—
717C2—82no—
718C2#1453144511yescharacteristic
719C2#1453758511yescharacteristic
720C2#137×Dic1711yescharacteristic
721C2#1453961211yescharacteristic
722C2#1453962511yescharacteristic
723C2#1453979211yescharacteristic
724C2#1453982511yescharacteristic
subgroupG/H
centerC23C2×D4×D17
commutatorC2×C4×C17C23×C4
FrattiniC22×C4C23×D17
FittingC2×C17×#452C2
socleC23×C17C22×D4
prime radicalC22×#41×C17C22
cosocleC22×C4×C17C24
hypercenterC2×#452D17
hypocenterC17#22048
LCSG ▷ C2×C4×C17 ▷ C2×C17 ▷ C17
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#452

Complements

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

NH ≅ G/Ntype
1. C22⋊Q8×Dic17C2semidirect
3. #14529667C2semidirect
4. #14529656C2semidirect
5. #14529483C2semidirect
6. #14529476C2semidirect
7. #14529427C2semidirect
8. #14529413C2semidirect
9. #14529141C2semidirect
10. #14529127C2semidirect
11. #14529097C2semidirect
12. #14528985C2semidirect
14. #14528548C2semidirect
56. C17×#452C4semidirect
76. C2×Q16×C17C2×C4semidirect
79. C2×SD16×C17C2×C4semidirect
114. C17×#103C2×C4semidirect
115. C17×#102C2×C4semidirect
376. #452Dic17semidirect
438. C2×Q16C2×Dic17semidirect
441. C2×SD16C2×Dic17semidirect
482. #103C2×Dic17semidirect
485. #102C2×Dic17semidirect
499. C17#22048semidirect

Maximal subgroups

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

subgroupindex
C22⋊Q8×Dic172
#145312752
#145296672
#145296562
#145294832
#145294762
#145294272
#145294132
#145291412
#145291272
#145290972
#145289852
#145287242
#145285482
C2×C17×#4522
#2204817