Finite Group Databasebeta

← #17045684

Subgroups — #17045684

Order 4352.

968 conjugacy classes of subgroups.

The subgroup lattice has 720 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#14531468C211yesmaximal, characteristic, complemented
2#14531376C211yesmaximal, characteristic
3#14529667C211yesmaximal, characteristic, complemented
4#14529646C211yesmaximal, characteristic, complemented
5#14529476C211yesmaximal, characteristic, complemented
6#14529469C211yesmaximal, characteristic, complemented
7#14529427C211yesmaximal, characteristic, complemented
8#14529406C211yesmaximal, characteristic, complemented
9#14529141C211yesmaximal, characteristic, complemented
10#14529127C211yesmaximal, characteristic, complemented
11#14529092C211yesmaximal, characteristic, complemented
12#14528974C211yesmaximal, characteristic, complemented
13#14528724C211yesmaximal, characteristic
14#14528552C211yesmaximal, characteristic, complemented
15C2×C17×#452C211yesmaximal, characteristic
16C2×Q8×Dic17C2211yescharacteristic
17C2×#10587612C2211yescharacteristic
18C22×C4⋊Dic17C2211yescharacteristic
19C2×#10587489C2211yescharacteristic
20C2×#10587489C2211yescharacteristic
21C2×#10587506C2211yescharacteristic
22C2×#10587506C2211yescharacteristic
23C2×#10587506C2211yescharacteristic
24C2×#10587506C2211yescharacteristic
25C2×#10587503C2211yescharacteristic
26C2×#10587503C2211yescharacteristic
27C2×C22⋊#3622C2211yescharacteristic
28C2×#10587486C2211yescharacteristic
29C2×C8×Dic17C2211yescharacteristic
30#11762716C2211yescharacteristic
31#11762716C2211yescharacteristic
32#11762716C2211yescharacteristic
33#11762712C2211yescharacteristic
34#11762712C2211yescharacteristic
35#11762708—21no—
36#11762708C2211yescharacteristic
37#11762702—21no—
38#11762702—21no—
39#11762695—21no—
40#11762689—21no—
41#11762689—21no—
42#11762669—21no—
43#11762669—21no—
44#11762669C2211yescharacteristic
45C4⋊C4×Dic17C2211yescharacteristic
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×Dic17—21no—
73C2×Q16×C17—41no—
74C2×Q16×C17—41no—
75C2×Q16×C17C2×C414yescomplemented
76C2×SD16×C17—41no—
77C2×SD16×C17—41no—
78C2×SD16×C17C2×C414yescomplemented
79C22×C8×C17C2311yescharacteristic
80C22×C8×C17C2311yescharacteristic
81C17×C22⋊Q8—22no—
82C17×C22⋊Q8C2×C414yes—
83C2×C4⋊C4×C17—21no—
84C2×C4⋊C4×C17C2311yescharacteristic
85C2×C22⋊C4×C17—21no—
86C2×C22⋊Dic17—21no—
87C2×C22⋊Dic17—21no—
88C2×C22⋊Dic17—21no—
89C2×C22⋊Dic17—21no—
90C2×C22⋊Dic17—21no—
91C2×C22⋊Dic17D411yescharacteristic
92C2×C22⋊Dic17D411yescharacteristic
93Q8×Dic17—41no—
94Q8×Dic17—41no—
95#10587612—41no—
96#10587612—41no—
97C2×C4⋊Dic17—21no—
98C2×C4⋊Dic17—21no—
99C2×C4⋊Dic17—21no—
100C2×C4⋊Dic17—41no—
101C2×C4⋊Dic17—41no—
102C2×C4⋊Dic17D411yescharacteristic
103C2×C4⋊Dic17D411yescharacteristic
104C2×C4⋊Dic17C2311yescharacteristic
105C2×C4⋊Dic17C2311yescharacteristic
106C2×C4⋊Dic17C2311yescharacteristic
107C2×C4⋊Dic17C2311yescharacteristic
108C2×C4×Dic17—21no—
109C2×C4×Dic17—21no—
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#10587489—41no—
135#10587486—41no—
136C8×Dic17—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—21no—
179C22×Dic17—21no—
180C22×Dic17—21no—
181C22×Dic17—21no—
182C22×Dic17—42no—
183C22×Dic17—81no—
184C22×Dic17—81no—
185C22×Dic17C2×D411yescharacteristic
186C22×Dic17C2×D411yescharacteristic
187C22×Dic17C2×D411yescharacteristic
188C22×Dic17C2×D411yescharacteristic
189Q16×C17—44no—
190SD16×C17—44no—
191C2×C8×C17—21no—
192C2×C8×C17—21no—
193C2×C8×C17—21no—
194C2×C8×C17—21no—
195C2×C8×C17C22×C412yes—
196C2×C8×C17C22×C412yes—
197C4⋊C4×C17—24no—
198C4⋊C4×C17—21no—
199C4⋊C4×C17C22×C412yes—
200C22⋊C4×C17—24no—
201C22⋊Dic17—41no—
202C22⋊Dic17—41no—
203C22⋊Dic17—81no—
204C22⋊Dic17—81no—
205C22⋊Dic17—81no—
206C22⋊Dic17—81no—
207C22⋊Dic17—81no—
208C4⋊Dic17—21no—
209C4⋊Dic17—21no—
210C4⋊Dic17—21no—
211C4⋊Dic17—21no—
212C4⋊Dic17—21no—
213C4⋊Dic17—21no—
214C4⋊Dic17—21no—
215C4⋊Dic17—21no—
216C4⋊Dic17—41no—
217C4⋊Dic17—41no—
218C4⋊Dic17—42no—
219C4⋊Dic17—42no—
220C4⋊Dic17—81no—
221C4×Dic17—21no—
222C4×Dic17—21no—
223C4×Dic17—21no—
224C4×Dic17—21no—
225C4×Dic17—42no—
226C4×Dic17—81no—
227C2×#3622—21no—
228C2×#3622—21no—
229C2×#3622—21no—
230C2×#3622—21no—
231C2×#3622—21no—
232C2×#3622—21no—
233#22057—171nomaximal, Sylow
234C23×C17—21no—
235C23×C17—21no—
236C23×C17—21no—
237C23×C17—21no—
238C23×C17—21no—
239C23×C17—21no—
240C23×C17—22no—
241C23×C17—41no—
242C23×C17—41no—
243C23×C17—41no—
244C23×C17—41no—
245C23×C17—41no—
246C23×C17—41no—
247C23×C17C4×D412yes—
248C23×C17C22×D411yescharacteristic
249Q8×C17—22no—
250Q8×C17—22no—
251Q8×C17—22no—
252Q8×C17—22no—
253Q8×C17—41no—
254Q8×C17—41no—
255Q8×C17—41no—
256Q8×C17—41no—
257D4×C17—22no—
258D4×C17—22no—
259D4×C17—48no—
260D4×C17—41no—
261D4×C17—41no—
262C2×C4×C17—21no—
263C2×C4×C17—21no—
264C2×C4×C17—22no—
265C2×C4×C17—22no—
266C2×C4×C17—22no—
267C2×C4×C17—22no—
268C2×C4×C17—22no—
269C2×C4×C17—22no—
270C2×C4×C17—22no—
271C2×C4×C17—48no—
272C2×C4×C17—41no—
273C2×C4×C17—41no—
274C2×C4×C17—41no—
275C2×C4×C17—41no—
276C2×C4×C17—41no—
277C2×C4×C17—41no—
278C2×C4×C17C4×D412yes—
279C2×C4×C17C23×C411yescharacteristic
280C2×C4×C17C2×#4111yescharacteristic
281C2×C4×C17H(5,𝔽2)11yescharacteristic
282C2×C4×C17H(5,𝔽2)11yescharacteristic
283C2×C4×C17H(5,𝔽2)11yescharacteristic
284C2×C4×C17H(5,𝔽2)11yescharacteristic
285C2×Dic17—21no—
286C2×Dic17—21no—
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—41no—
298C2×Dic17—41no—
299C2×Dic17—41no—
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—84no—
310C8×C17—22no—
311C8×C17—22no—
312#3622—41no—
313#3622—41no—
314C2×#452D1711yescharacteristic
315#2323—171no—
316#2311—171no—
317#1973—171no—
318#1969—171no—
319#1935—171no—
320#1934—171no—
321#1928—171no—
322#1925—171no—
323#1880—171no—
324#1878—171no—
325#1872—171no—
326#1852—171no—
327#1788—171no—
328#1750—171no—
329C22×C17—22no—
330C22×C17—22no—
331C22×C17—22no—
332C22×C17—41no—
333C22×C17—41no—
334C22×C17—41no—
335C22×C17—41no—
336C22×C17—42no—
337C22×C17—42no—
338C22×C17—42no—
339C22×C17—81no—
340C22×C17—81no—
341C22×C17—81no—
342C22×C17—81no—
343C22×C17C2×C4×D411yescharacteristic
344C22×C17#53411yescharacteristic
345C22×C17#53511yescharacteristic
346C22×C17#57611yescharacteristic
347C22×C17#57711yescharacteristic
348C22×C17#57811yescharacteristic
349C22×C17#57811yescharacteristic
350C4×C17—22no—
351C4×C17—42no—
352C4×C17—42no—
353C4×C17—42no—
354C4×C17#51811yescharacteristic
355C4×C17#51811yescharacteristic
356C4×C17#53811yescharacteristic
357C4×C17#53811yescharacteristic
358Dic17—41no—
359Dic17—41no—
360Dic17—41no—
361Dic17—41no—
362Dic17—81no—
363Dic17—81no—
364Dic17—81no—
365Dic17—81no—
366C22×#41C2×D1711yescharacteristic
367C22×Q16C2×D1711yescharacteristic
368C22×SD16C2×D1711yescharacteristic
369C2×C22⋊Q8C2×D1711yescharacteristic
370C2×C4×Q8—171no—
371C2×#117—171no—
372C22×C4⋊C4—171no—
373#452Dic1718yescomplemented
374C2×#107—171no—
375C2×#107—171no—
376C2×#103—171no—
377C2×#103—171no—
378C2×#103—171no—
379C2×#103—171no—
380C2×#103C2×D1711yescharacteristic
381C2×#102—171no—
382C2×#102—171no—
383C2×#102C2×D1711yescharacteristic
384C2×C22⋊C8—171no—
385C2×C22⋊C8C2×D1711yescharacteristic
386C2×#97—171no—
387C2×C4×C8—171no—
388#391—171no—
389#391—171no—
390#391—171no—
391#390—171no—
392#390—171no—
393#389—171no—
394#389—341no—
395#388—341no—
396#388—341no—
397#387—341no—
398#386—341no—
399#386—341no—
400#380—171no—
401#380—341no—
402#380—341no—
403C4×C4⋊C4—171no—
404#340—171no—
405#340—171no—
406#340—171no—
407#340—171no—
408#336—171no—
409#336—171no—
410C2×C17—42no—
411C2×C17—82no—
412C2×C17#232111yescharacteristic
413C2×C17#294711yescharacteristic
414C2×C17#295111yescharacteristic
415C2×C17#320111yescharacteristic
416C2×C17#320311yescharacteristic
417C2×C17#322311yescharacteristic
418C2×C17#322411yescharacteristic
419C2×#41—22no—
420C2×#41—41no—
421C2×#41—41no—
422C2×#41—41no—
423C2×#41—41no—
424C2×#41C2×Dic1714yes—
425C22×Q8C22×D1711yescharacteristic
426C22×Q8C22×D1711yescharacteristic
427C22×D4—21no—
428C22×D4C22×D1711yescharacteristic
429C23×C4—21no—
430C23×C4—341no—
431C23×C4C22×D1711yescharacteristic
432C2×Q16—41no—
433C2×Q16—41no—
434C2×Q16C2×Dic1714yescomplemented
435C2×SD16—41no—
436C2×SD16—41no—
437C2×SD16C2×Dic1714yescomplemented
438C22×C8—171no—
439C22×C8—171no—
440C22×C8C22×D1711yescharacteristic
441C22×C8C22×D1711yescharacteristic
442C22⋊Q8—22no—
443C22⋊Q8C2×Dic1714yes—
444C4×Q8—681no—
445C4×Q8—681no—
446#117—681no—
447#117—681no—
448C2×C4⋊C4—21no—
449C2×C4⋊C4—171no—
450C2×C4⋊C4—171no—
451C2×C4⋊C4—171no—
452C2×C4⋊C4—171no—
453C2×C4⋊C4—171no—
454C2×C4⋊C4—171no—
455C2×C4⋊C4—341no—
456C2×C4⋊C4—341no—
457C2×C4⋊C4—341no—
458C2×C4⋊C4—681no—
459C2×C4⋊C4—681no—
460C2×C4⋊C4C22×D1711yescharacteristic
461C2×C22⋊C4—21no—
462C2×C22⋊C4—171no—
463C2×C22⋊C4—171no—
464C2×C22⋊C4—341no—
465C2×C22⋊C4—341no—
466C2×C22⋊C4—341no—
467C2×C22⋊C4—341no—
468C2×C22⋊C4—341no—
469C2×C42—171no—
470C2×C42—171no—
471C2×C42—341no—
472C2×C42—341no—
473#107—681no—
474#107—681no—
475#103—681no—
476#103—681no—
477#103—681no—
478#103—681no—
479#103C2×Dic1714yescomplemented
480#102—681no—
481#102—681no—
482#102C2×Dic1714yescomplemented
483C22⋊C8—342no—
484C22⋊C8C2×Dic1714yes—
485#97—681no—
486C4×C8—681no—
487#95—341no—
488#95—341no—
489#95—341no—
490#95—341no—
491#95—341no—
492#95—341no—
493#95—341no—
494#95—341no—
495#95—341no—
496C17#2205711yescharacteristic, complemented, Sylow
497C24—21no—
498C24D4×D1711yescharacteristic
499#41—44no—
500#41—44no—
501#41—44no—
502#41—44no—
503C2×Q8—21no—
504C2×Q8—21no—
505C2×Q8—21no—
506C2×Q8—21no—
507C2×Q8—21no—
508C2×Q8—21no—
509C2×Q8—21no—
510C2×Q8—21no—
511C2×Q8—21no—
512C2×Q8—21no—
513C2×Q8C22×Dic1712yes—
514C2×Q8C22×Dic1712yes—
515C2×D4—24no—
516C2×D4—21no—
517C2×D4—21no—
518C2×D4—21no—
519C2×D4—21no—
520C2×D4—21no—
521C2×D4—42no—
522C2×D4—42no—
523C2×D4C22×Dic1712yes—
524C22×C4—21no—
525C22×C4—21no—
526C22×C4—21no—
527C22×C4—21no—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—21no—
531C22×C4—24no—
532C22×C4—42no—
533C22×C4—42no—
534C22×C4—171no—
535C22×C4—171no—
536C22×C4—171no—
537C22×C4—171no—
538C22×C4—341no—
539C22×C4—341no—
540C22×C4—341no—
541C22×C4—341no—
542C22×C4—682no—
543C22×C4—1361no—
544C22×C4—1361no—
545C22×C4D4×D1711yescharacteristic
546C22×C4#6325412yes—
547C22×C4C22×Dic1712yes—
548C22×C4C23×D1711yescharacteristic
549Q16—44no—
550SD16—44no—
551C2×C8—21no—
552C2×C8—21no—
553C2×C8—21no—
554C2×C8—21no—
555C2×C8—341no—
556C2×C8—341no—
557C2×C8—341no—
558C2×C8—341no—
559C2×C8—341no—
560C2×C8—341no—
561C2×C8C22×Dic1712yes—
562C2×C8C22×Dic1712yes—
563C4⋊C4—21no—
564C4⋊C4—24no—
565C4⋊C4—341no—
566C4⋊C4—341no—
567C4⋊C4—341no—
568C4⋊C4—341no—
569C4⋊C4—341no—
570C4⋊C4—341no—
571C4⋊C4—341no—
572C4⋊C4—341no—
573C4⋊C4—681no—
574C4⋊C4—681no—
575C4⋊C4—682no—
576C4⋊C4—682no—
577C4⋊C4—1361no—
578C4⋊C4C22×Dic1712yes—
579C22⋊C4—24no—
580C22⋊C4—681no—
581C22⋊C4—681no—
582C22⋊C4—1361no—
583C22⋊C4—1361no—
584C22⋊C4—1361no—
585C22⋊C4—1361no—
586C22⋊C4—1361no—
587C42—341no—
588C42—341no—
589C42—341no—
590C42—341no—
591C42—682no—
592C42—1361no—
593C23—21no—
594C23—21no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—21no—
599C23—22no—
600C23—41no—
601C23—41no—
602C23—41no—
603C23—41no—
604C23—41no—
605C23—41no—
606C23D4×Dic1712yes—
607C23C2×D4×D1711yescharacteristic
608Q8—22no—
609Q8—22no—
610Q8—22no—
611Q8—22no—
612Q8—41no—
613Q8—41no—
614Q8—41no—
615Q8—41no—
616D4—22no—
617D4—22no—
618D4—48no—
619D4—41no—
620D4—41no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—22no—
624C2×C4—22no—
625C2×C4—22no—
626C2×C4—22no—
627C2×C4—22no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—48no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—341no—
638C2×C4—341no—
639C2×C4—341no—
640C2×C4—341no—
641C2×C4—341no—
642C2×C4—341no—
643C2×C4—341no—
644C2×C4—341no—
645C2×C4—341no—
646C2×C4—341no—
647C2×C4—341no—
648C2×C4—341no—
649C2×C4—681no—
650C2×C4—681no—
651C2×C4—681no—
652C2×C4—681no—
653C2×C4—681no—
654C2×C4—681no—
655C2×C4—681no—
656C2×C4—681no—
657C2×C4—681no—
658C2×C4—681no—
659C2×C4—681no—
660C2×C4—681no—
661C2×C4—1364no—
662C2×C4D4×Dic1712yes—
663C2×C4C2×#6325411yescharacteristic
664C2×C4#1058769111yescharacteristic
665C2×C4#1058769111yescharacteristic
666C2×C4#1058769111yescharacteristic
667C2×C4#1058769111yescharacteristic
668C2×C4C23×Dic1711yescharacteristic
669C8—22no—
670C8—22no—
671C8—681no—
672C8—681no—
673C22—22no—
674C22—22no—
675C22—22no—
676C22—41no—
677C22—41no—
678C22—41no—
679C22—41no—
680C22—42no—
681C22—42no—
682C22—42no—
683C22—81no—
684C22—81no—
685C22—81no—
686C22—81no—
687C22C2×D4×Dic1711yescharacteristic
688C22#1176336911yescharacteristic
689C22#1176337411yescharacteristic
690C22#1176361111yescharacteristic
691C22#1176361811yescharacteristic
692C22#1176362311yescharacteristic
693C22#1176362511yescharacteristic
694C4—22no—
695C4—42no—
696C4—42no—
697C4—42no—
698C4—681no—
699C4—681no—
700C4—681no—
701C4—681no—
702C4—1361no—
703C4—1361no—
704C4—1361no—
705C4—1361no—
706C4#1176328411yescharacteristic
707C4#1176328411yescharacteristic
708C4#1176339411yescharacteristic
709C4#1176339411yescharacteristic
710C2—42no—
711C2—82no—
712C2#1453144511yescharacteristic
713C2#1453762811yescharacteristic
714C2#1453766011yescharacteristic
715C2#1453966511yescharacteristic
716C2#1453968511yescharacteristic
717C2#1453986511yescharacteristic
718C2#1453988411yescharacteristic
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#22057
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. #14531468C2semidirect
3. #14529667C2semidirect
4. #14529646C2semidirect
5. #14529476C2semidirect
6. #14529469C2semidirect
7. #14529427C2semidirect
8. #14529406C2semidirect
9. #14529141C2semidirect
10. #14529127C2semidirect
11. #14529092C2semidirect
12. #14528974C2semidirect
14. #14528552C2semidirect
56. C17×#452C4semidirect
75. C2×Q16×C17C2×C4semidirect
78. C2×SD16×C17C2×C4semidirect
114. C17×#103C2×C4semidirect
115. C17×#102C2×C4semidirect
373. #452Dic17semidirect
434. C2×Q16C2×Dic17semidirect
437. C2×SD16C2×Dic17semidirect
479. #103C2×Dic17semidirect
482. #102C2×Dic17semidirect
496. C17#22057semidirect

Maximal subgroups

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

subgroupindex
#145314682
#145313762
#145296672
#145296462
#145294762
#145294692
#145294272
#145294062
#145291412
#145291272
#145290922
#145289742
#145287242
#145285522
C2×C17×#4522
#2205717