Finite Group Databasebeta

← #17197539

Subgroups — #17197539

Order 4352.

2486 conjugacy classes of subgroups.

The subgroup lattice has 674 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#14531950C212yesmaximal, complemented
2#14531941C212yesmaximal, complemented
3#14531780C214yesmaximal, complemented
4#14531757C212yesmaximal, complemented
5#14531724C212yesmaximal, complemented
6#14531644C212yesmaximal, complemented
7#14531614C212yesmaximal, complemented
8#14531551C212yesmaximal, complemented
9#14531542C212yesmaximal, complemented
10#14531445C214yesmaximal, complemented
11#14531427C212yesmaximal, complemented
12#14531417C212yesmaximal, complemented
13#14531167C211yesmaximal, characteristic, complemented
14C2×#11762672C211yesmaximal, characteristic, complemented
15C2×C17×#525C211yesmaximal, characteristic
16C2×D4×Dic17C2214yes—
17C2×#10587612C2212yes—
18C22×C22⋊Dic17C2212yes—
19#11762716C2214yescomplemented
20#11762712C2214yes—
21#11762712C2214yes—
22#11762708C2214yescomplemented
23#11762702C2214yes—
24#11762702C2214yes—
25#11762702C2214yes—
26#11762702C2214yes—
27#11762702C2214yescomplemented
28#11762702C2214yescomplemented
29#11762695C2214yescomplemented
30#11762695C2214yescomplemented
31#11762695C2214yescomplemented
32#11762695C2214yescomplemented
33#11762689C2214yes—
34#11762689C2214yes—
35#11762689C2214yes—
36#11762689C2214yescomplemented
37#11762684C2214yes—
38#11762684C2214yescomplemented
39#11762677C2212yescomplemented
40#11762675C2212yescomplemented
41#11762672C2212yes—
42#11762672C2211yescharacteristic
43#11762672C2211yescharacteristic
44#11762672C2212yes—
45#11762672C2212yes—
46#11762672C2212yes—
47#11762672C2212yescomplemented
48#11762669C2212yes—
49#11762669C2212yes—
50#11762669C2212yescomplemented
51#11762665C2212yes—
52C4⋊C4×Dic17C2214yescomplemented
53C4×C4⋊Dic17C2212yescomplemented
54C22⋊C4×Dic17C2214yes—
55C22⋊C4×Dic17C2214yescomplemented
56C4×C22⋊Dic17C2211yescharacteristic
57C4×C22⋊Dic17C2211yescharacteristic
58C4×C22⋊Dic17C2212yes—
59C4×C22⋊Dic17C2212yescomplemented
60#11762655C2212yescomplemented
61C2×#10587502C2212yes—
62C2×#10587502C2212yes—
63C2×#10587502C2212yescomplemented
64C22×#41×C17C2211yescharacteristic
65C24×C4×C17C2211yescharacteristic
66C17×#525C4116yescomplemented
67C2×C17×#123C2212yes—
68C2×C17×C22⋊Q8C2211yescharacteristic
69C2×C17×C22⋊Q8C2211yescharacteristic
70C2×C17×#121C2211yescharacteristic
71C2×C17×#121C2211yescharacteristic
72C2×C17×#120C2212yes—
73C2×C4×D4×C17C2212yes—
74C2×C4×D4×C17C2212yes—
75C2×C17×#117C2211yescharacteristic
76C25×C17C2311yescharacteristic
77C2×#41×C17—44no—
78C2×#41×C17C2×C418yes—
79C22×Q8×C17C2311yescharacteristic
80C22×D4×C17C2312yes—
81C22×D4×C17C2312yes—
82C22×D4×C17C2312yes—
83C22×D4×C17C2311yescharacteristic
84C23×C4×C17—44no—
85C23×C4×C17C2×C418yescomplemented
86C23×C4×C17C2311yescharacteristic
87C23×C4×C17C2311yescharacteristic
88C23×C4×C17C2311yescharacteristic
89C23×C4×C17C2311yescharacteristic
90C23×C4×C17C2312yes—
91C23×C4×C17C2311yescharacteristic
92C23×C4×C17C2311yescharacteristic
93C23×Dic17C2314yes—
94C23×Dic17C2314yes—
95C17×#123C2×C4116yescomplemented
96C17×C22⋊Q8C2×C418yescomplemented
97C17×C22⋊Q8C2×C418yescomplemented
98C17×#121C2×C418yescomplemented
99C17×#121C2×C418yescomplemented
100C17×#120C2×C4116yescomplemented
101C4×D4×C17C2×C4116yescomplemented
102C4×D4×C17C2×C4116yescomplemented
103C17×#117C2×C418yescomplemented
104C2×C4⋊C4×C17C2311yescharacteristic
105C2×C4⋊C4×C17C2311yescharacteristic
106C2×C4⋊C4×C17C2312yes—
107C2×C4⋊C4×C17C2312yes—
108C2×C22⋊C4×C17C2312yes—
109C2×C22⋊C4×C17C2312yes—
110C2×C22⋊C4×C17C2312yes—
111C2×C22⋊C4×C17C2312yes—
112C2×C22⋊C4×C17C2312yes—
113C2×C42×C17C2312yes—
114C2×C22⋊Dic17—44no—
115C2×C22⋊Dic17C2314yes—
116C2×C22⋊Dic17C2314yes—
117C2×C22⋊Dic17C2314yes—
118C2×C22⋊Dic17C2312yes—
119C2×C22⋊Dic17C2312yes—
120C2×C22⋊Dic17C2314yes—
121C2×C22⋊Dic17C2314yes—
122C2×C22⋊Dic17C2314yes—
123C2×C22⋊Dic17C2312yes—
124C2×C22⋊Dic17C2312yes—
125D4×Dic17—48no—
126#10587612—44no—
127C2×C4⋊Dic17C2314yes—
128C2×C4⋊Dic17C2314yes—
129C2×C4⋊Dic17C2314yes—
130C2×C4⋊Dic17C2314yes—
131C2×C4×Dic17C2312yes—
132C2×C4×Dic17C2314yes—
133C2×C4×Dic17C2314yes—
134C2×C4×Dic17C2314yes—
135C2×C4×Dic17C2312yes—
136#10587502C2314yes—
137#10587502C2314yes—
138#10587502C2314yes—
139#10587502C2314yes—
140#10587502C2314yes—
141#10587502C2314yes—
142#10587502C2314yes—
143#10587502C2314yes—
144#10587502C2312yes—
145#10587502C2314yes—
146#10587502C2312yes—
147#10587502C2312yes—
148#10587502C2312yes—
149#10587502C2312yes—
150#10587502C2312yes—
151C24×C17—24no—
152C24×C17—42no—
153C24×C17—42no—
154C24×C17C22×C414yes—
155C24×C17C2412yes—
156C24×C17C2411yescharacteristic
157C24×C17C2411yescharacteristic
158C24×C17C2411yescharacteristic
159#41×C17—416no—
160C2×Q8×C17—42no—
161C2×Q8×C17C22×C414yes—
162C2×D4×C17—28no—
163C2×D4×C17—42no—
164C2×D4×C17—44no—
165C2×D4×C17—42no—
166C2×D4×C17—42no—
167C2×D4×C17C22×C418yes—
168C2×D4×C17C22×C414yes—
169C2×D4×C17C22×C418yes—
170C2×D4×C17C22×C418yes—
171C22×C4×C17—24no—
172C22×C4×C17—24no—
173C22×C4×C17—416no—
174C22×C4×C17—42no—
175C22×C4×C17—42no—
176C22×C4×C17—42no—
177C22×C4×C17—42no—
178C22×C4×C17—44no—
179C22×C4×C17C22×C414yes—
180C22×C4×C17C22×C414yes—
181C22×C4×C17C22×C414yes—
182C22×C4×C17C22×C414yes—
183C22×C4×C17C22×C414yes—
184C22×C4×C17C22×C414yes—
185C22×C4×C17C22×C418yes—
186C22×C4×C17C2411yescharacteristic
187C22×C4×C17C2411yescharacteristic
188C22×C4×C17C2411yescharacteristic
189C22×C4×C17C2411yescharacteristic
190C22×C4×C17C2412yes—
191C22×C4×C17C2412yes—
192C22×C4×C17C2412yes—
193C22×Dic17—28no—
194C22×Dic17—44no—
195C22×Dic17—44no—
196C22×Dic17—44no—
197C22×Dic17—44no—
198C22×Dic17—44no—
199C22×Dic17C2414yes—
200C22×Dic17C2414yes—
201C22×Dic17C2414yes—
202C22×Dic17C2414yes—
203C4⋊C4×C17C22×C418yes—
204C4⋊C4×C17C22×C418yes—
205C4⋊C4×C17C22×C414yes—
206C4⋊C4×C17C22×C414yes—
207C22⋊C4×C17C22×C418yes—
208C22⋊C4×C17C22×C418yes—
209C22⋊C4×C17C22×C418yes—
210C22⋊C4×C17C22×C418yes—
211C22⋊C4×C17C22×C418yes—
212C42×C17C22×C418yes—
213C22⋊Dic17—28no—
214C22⋊Dic17—44no—
215C22⋊Dic17—42no—
216C22⋊Dic17—44no—
217C22⋊Dic17—42no—
218C22⋊Dic17—44no—
219C22⋊Dic17—44no—
220C22⋊Dic17—42no—
221C22⋊Dic17—44no—
222C22⋊Dic17—42no—
223C4⋊Dic17—44no—
224C4⋊Dic17—44no—
225C4⋊Dic17—44no—
226C4⋊Dic17—44no—
227C4×Dic17—44no—
228C4×Dic17—44no—
229C4×Dic17—42no—
230C4×Dic17—42no—
231C4×Dic17—44no—
232#34396—171nomaximal, Sylow
233C23×C17—22no—
234C23×C17—22no—
235C23×C17—28no—
236C23×C17—22no—
237C23×C17—22no—
238C23×C17—24no—
239C23×C17—22no—
240C23×C17—22no—
241C23×C17—22no—
242C23×C17—24no—
243C23×C17—22no—
244C23×C17—22no—
245C23×C17—22no—
246C23×C17—44no—
247C23×C17—44no—
248C23×C17—416no—
249C23×C17C23×C412yes—
250C23×C17C23×C412yes—
251C23×C17C23×C414yes—
252C23×C17C23×C412yes—
253C23×C17H(5,𝔽2)14yes—
254C23×C17C2511yescharacteristic
255Q8×C17—44no—
256D4×C17—216no—
257D4×C17—48no—
258D4×C17—48no—
259D4×C17—44no—
260C2×C4×C17—28no—
261C2×C4×C17—28no—
262C2×C4×C17—22no—
263C2×C4×C17—22no—
264C2×C4×C17—22no—
265C2×C4×C17—22no—
266C2×C4×C17—24no—
267C2×C4×C17—22no—
268C2×C4×C17—24no—
269C2×C4×C17—22no—
270C2×C4×C17—44no—
271C2×C4×C17—44no—
272C2×C4×C17—44no—
273C2×C4×C17—44no—
274C2×C4×C17—48no—
275C2×C4×C17C23×C412yes—
276C2×C4×C17C23×C414yes—
277C2×C4×C17C23×C414yes—
278C2×C4×C17C23×C412yes—
279C2×C4×C17C23×C412yes—
280C2×C4×C17C23×C414yes—
281C2×C4×C17C23×C412yes—
282C2×Dic17—24no—
283C2×Dic17—24no—
284C2×Dic17—24no—
285C2×Dic17—24no—
286C2×Dic17—24no—
287C2×Dic17—24no—
288C2×Dic17—24no—
289C2×Dic17—24no—
290C2×Dic17—24no—
291C2×Dic17—24no—
292C2×Dic17—24no—
293C2×Dic17—24no—
294C2×Dic17—88no—
295C2×Dic17—88no—
296C2×#525D1711yescharacteristic
297#2378—172no—
298#2377—172no—
299#2359—174no—
300#2357—172no—
301#2353—172no—
302#2343—172no—
303#2339—172no—
304#2333—172no—
305#2332—172no—
306#2321—174no—
307#2319—172no—
308#2318—172no—
309#2280—171no—
310C2×#381—171no—
311C22×C17—22no—
312C22×C17—22no—
313C22×C17—28no—
314C22×C17—22no—
315C22×C17—22no—
316C22×C17—24no—
317C22×C17—22no—
318C22×C17—22no—
319C22×C17—24no—
320C22×C17—24no—
321C22×C17—22no—
322C22×C17—22no—
323C22×C17—416no—
324C22×C17—44no—
325C22×C17—44no—
326C22×C17—44no—
327C22×C17—44no—
328C22×C17#51814yes—
329C22×C17C24×C411yescharacteristic
330C22×C17C2×H(5,𝔽2)12yes—
331C22×C17#58512yes—
332C22×C17#58512yes—
333C4×C17—22no—
334C4×C17—22no—
335C4×C17—22no—
336C4×C17—22no—
337C4×C17—24no—
338C4×C17—24no—
339C4×C17—24no—
340Dic17—44no—
341Dic17—44no—
342Dic17—44no—
343Dic17—44no—
344C22×#41C2×D1711yescharacteristic
345C24×C4C2×D1711yescharacteristic
346#525Dic17116yescomplemented
347C2×#123C2×D1712yes—
348C2×C22⋊Q8C2×D1711yescharacteristic
349C2×C22⋊Q8C2×D1711yescharacteristic
350C2×#121C2×D1711yescharacteristic
351C2×#121C2×D1711yescharacteristic
352C2×#120C2×D1712yes—
353C2×C4×D4—174no—
354C2×C4×D4C2×D1712yes—
355C2×C4×D4C2×D1712yes—
356C2×#117—172no—
357C2×#117C2×D1711yescharacteristic
358C22×C22⋊C4—172no—
359#391—174no—
360#390—174no—
361#390—174no—
362#389—174no—
363#388—174no—
364#388—174no—
365#388—174no—
366#388—174no—
367#388—174no—
368#388—174no—
369#387—174no—
370#387—174no—
371#387—174no—
372#387—174no—
373#386—174no—
374#386—174no—
375#386—174no—
376#386—174no—
377#385—174no—
378#385—174no—
379#383—172no—
380#382—172no—
381#381—171no—
382#381—171no—
383#381—172no—
384#381—172no—
385#381—172no—
386#381—172no—
387#381—172no—
388#380—172no—
389#380—172no—
390#380—172no—
391#379—172no—
392C4×C4⋊C4—174no—
393C4×C4⋊C4—172no—
394C4×C22⋊C4—172no—
395C4×C22⋊C4—172no—
396C4×C22⋊C4—171no—
397C4×C22⋊C4—171no—
398C4×C22⋊C4—174no—
399C4×C22⋊C4—174no—
400#376—172no—
401C2×#95—172no—
402C2×#95—172no—
403C2×#95—172no—
404C2×C17—24no—
405C2×C17—44no—
406C2×C17—42no—
407C2×C17—42no—
408C2×C17C2×#51811yescharacteristic
409C2×C17#342811yescharacteristic
410C2×C17#342811yescharacteristic
411C2×C17#353314yes—
412C25C22×D1711yescharacteristic
413C2×#41—44no—
414C2×#41C2×Dic1718yes—
415C22×Q8C22×D1711yescharacteristic
416C22×D4C22×D1712yes—
417C22×D4C22×D1712yes—
418C22×D4C22×D1712yes—
419C22×D4C22×D1711yescharacteristic
420C23×C4—44no—
421C23×C4—174no—
422C23×C4—174no—
423C23×C4C2×Dic1718yescomplemented
424C23×C4C22×D1711yescharacteristic
425C23×C4C22×D1711yescharacteristic
426C23×C4C22×D1711yescharacteristic
427C23×C4C22×D1711yescharacteristic
428C23×C4C22×D1712yes—
429C23×C4C22×D1711yescharacteristic
430C23×C4C22×D1711yescharacteristic
431#123C2×Dic17116yescomplemented
432C22⋊Q8C2×Dic1718yescomplemented
433C22⋊Q8C2×Dic1718yescomplemented
434#121C2×Dic1718yescomplemented
435#121C2×Dic1718yescomplemented
436#120C2×Dic17116yescomplemented
437C4×D4—688no—
438C4×D4C2×Dic17116yescomplemented
439C4×D4C2×Dic17116yescomplemented
440#117—684no—
441#117C2×Dic1718yescomplemented
442C2×C4⋊C4—174no—
443C2×C4⋊C4—174no—
444C2×C4⋊C4—174no—
445C2×C4⋊C4—174no—
446C2×C4⋊C4C22×D1711yescharacteristic
447C2×C4⋊C4C22×D1711yescharacteristic
448C2×C4⋊C4C22×D1712yes—
449C2×C4⋊C4C22×D1712yes—
450C2×C22⋊C4—174no—
451C2×C22⋊C4—172no—
452C2×C22⋊C4—174no—
453C2×C22⋊C4—172no—
454C2×C22⋊C4—174no—
455C2×C22⋊C4—172no—
456C2×C22⋊C4—174no—
457C2×C22⋊C4—172no—
458C2×C22⋊C4—174no—
459C2×C22⋊C4—174no—
460C2×C22⋊C4—684no—
461C2×C22⋊C4C22×D1712yes—
462C2×C22⋊C4C22×D1712yes—
463C2×C22⋊C4C22×D1712yes—
464C2×C22⋊C4C22×D1712yes—
465C2×C22⋊C4C22×D1712yes—
466C2×C42—172no—
467C2×C42—172no—
468C2×C42—174no—
469C2×C42—174no—
470C2×C42—174no—
471C2×C42C22×D1712yes—
472#95—172no—
473#95—172no—
474#95—172no—
475#95—174no—
476#95—172no—
477#95—174no—
478#95—172no—
479#95—174no—
480#95—174no—
481#95—172no—
482#95—174no—
483#95—174no—
484#95—174no—
485#95—174no—
486#95—174no—
487C17#3439611yescharacteristic, complemented, Sylow
488C24—24no—
489C24—42no—
490C24—42no—
491C24C22×Dic1714yes—
492C24C23×D1711yescharacteristic
493C24C23×D1711yescharacteristic
494C24C23×D1712yes—
495C24C23×D1711yescharacteristic
496#41—416no—
497C2×Q8—42no—
498C2×Q8C22×Dic1714yes—
499C2×D4—28no—
500C2×D4—42no—
501C2×D4—44no—
502C2×D4—42no—
503C2×D4—42no—
504C2×D4C22×Dic1718yes—
505C2×D4C22×Dic1718yes—
506C2×D4C22×Dic1718yes—
507C2×D4C22×Dic1714yes—
508C22×C4—24no—
509C22×C4—24no—
510C22×C4—416no—
511C22×C4—42no—
512C22×C4—42no—
513C22×C4—42no—
514C22×C4—42no—
515C22×C4—44no—
516C22×C4—174no—
517C22×C4—174no—
518C22×C4—174no—
519C22×C4—174no—
520C22×C4—348no—
521C22×C4—684no—
522C22×C4—684no—
523C22×C4—684no—
524C22×C4—684no—
525C22×C4—684no—
526C22×C4C22×Dic1714yes—
527C22×C4C22×Dic1714yes—
528C22×C4C22×Dic1714yes—
529C22×C4C22×Dic1714yes—
530C22×C4C22×Dic1718yes—
531C22×C4C22×Dic1714yes—
532C22×C4C22×Dic1714yes—
533C22×C4C23×D1711yescharacteristic
534C22×C4C23×D1711yescharacteristic
535C22×C4C23×D1711yescharacteristic
536C22×C4C23×D1712yes—
537C22×C4C23×D1712yes—
538C22×C4C23×D1712yes—
539C22×C4C23×D1711yescharacteristic
540C4⋊C4—684no—
541C4⋊C4—684no—
542C4⋊C4—684no—
543C4⋊C4—684no—
544C4⋊C4C22×Dic1714yes—
545C4⋊C4C22×Dic1714yes—
546C4⋊C4C22×Dic1718yes—
547C4⋊C4C22×Dic1718yes—
548C22⋊C4—348no—
549C22⋊C4—684no—
550C22⋊C4—682no—
551C22⋊C4—684no—
552C22⋊C4—682no—
553C22⋊C4—684no—
554C22⋊C4—682no—
555C22⋊C4—684no—
556C22⋊C4—682no—
557C22⋊C4—684no—
558C22⋊C4C22×Dic1718yes—
559C22⋊C4C22×Dic1718yes—
560C22⋊C4C22×Dic1718yes—
561C22⋊C4C22×Dic1718yes—
562C22⋊C4C22×Dic1718yes—
563C42—682no—
564C42—682no—
565C42—684no—
566C42—684no—
567C42—684no—
568C42C22×Dic1718yes—
569C23—22no—
570C23—22no—
571C23—28no—
572C23—22no—
573C23—22no—
574C23—24no—
575C23—22no—
576C23—22no—
577C23—22no—
578C23—24no—
579C23—22no—
580C23—22no—
581C23—22no—
582C23—44no—
583C23—44no—
584C23—416no—
585C23#1058769114yes—
586C23C23×Dic1712yes—
587C23C23×Dic1712yes—
588C23C23×Dic1714yes—
589C23C23×Dic1712yes—
590C23C24×D1711yescharacteristic
591Q8—44no—
592D4—216no—
593D4—44no—
594D4—48no—
595D4—48no—
596C2×C4—28no—
597C2×C4—28no—
598C2×C4—22no—
599C2×C4—24no—
600C2×C4—22no—
601C2×C4—22no—
602C2×C4—22no—
603C2×C4—22no—
604C2×C4—24no—
605C2×C4—22no—
606C2×C4—44no—
607C2×C4—44no—
608C2×C4—44no—
609C2×C4—44no—
610C2×C4—48no—
611C2×C4—344no—
612C2×C4—344no—
613C2×C4—344no—
614C2×C4—344no—
615C2×C4—344no—
616C2×C4—344no—
617C2×C4—344no—
618C2×C4—344no—
619C2×C4—344no—
620C2×C4—344no—
621C2×C4—344no—
622C2×C4—344no—
623C2×C4—1368no—
624C2×C4—1368no—
625C2×C4C23×Dic1712yes—
626C2×C4C23×Dic1714yes—
627C2×C4C23×Dic1714yes—
628C2×C4C23×Dic1712yes—
629C2×C4C23×Dic1712yes—
630C2×C4C23×Dic1714yes—
631C2×C4C23×Dic1712yes—
632C22—28no—
633C22—22no—
634C22—22no—
635C22—22no—
636C22—22no—
637C22—24no—
638C22—22no—
639C22—22no—
640C22—24no—
641C22—24no—
642C22—22no—
643C22—22no—
644C22—416no—
645C22—44no—
646C22—44no—
647C22—44no—
648C22—44no—
649C22#1176328414yes—
650C22C24×Dic1711yescharacteristic
651C22C2×#1058769112yes—
652C22#1176364512yes—
653C22#1176364512yes—
654C4—22no—
655C4—22no—
656C4—22no—
657C4—22no—
658C4—24no—
659C4—24no—
660C4—24no—
661C4—684no—
662C4—684no—
663C4—684no—
664C4—684no—
665C2—24no—
666C2—42no—
667C2—42no—
668C2—44no—
669C2C2×#1176328411yescharacteristic
670C2#1454198711yescharacteristic
671C2#1454198711yescharacteristic
672C2#1454294814yes—
subgroupG/H
center, FrattiniC23C24×D17
commutatorC22×C17C24×C4
Fitting, prime radicalC2×C17×#525C2
socle, cosocleC23×C17C25
hypercenterC2×#525D17
hypocenterC17#34396
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C23 ◁ C2×#525

Complements

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

NH ≅ G/Ntype
1. #14531950C2semidirect
2. #14531941C2semidirect
3. #14531780C2semidirect
4. #14531757C2semidirect
5. #14531724C2semidirect
6. #14531644C2semidirect
7. #14531614C2semidirect
8. #14531551C2semidirect
9. #14531542C2semidirect
10. #14531445C2semidirect
11. #14531427C2semidirect
12. #14531417C2semidirect
13. #14531167C2semidirect
14. C2×#11762672C2semidirect
19. #11762716C22semidirect
22. #11762708C22semidirect
27. #11762702C22semidirect
28. #11762702C22semidirect
29. #11762695C22semidirect
30. #11762695C22semidirect
31. #11762695C22semidirect
32. #11762695C22semidirect
36. #11762689C22semidirect
38. #11762684C22semidirect
39. #11762677C22semidirect
40. #11762675C22semidirect
47. #11762672C22semidirect
50. #11762669C22semidirect
52. C4⋊C4×Dic17C22semidirect
53. C4×C4⋊Dic17C22semidirect
55. C22⋊C4×Dic17C22semidirect
59. C4×C22⋊Dic17C22semidirect
60. #11762655C22semidirect
63. C2×#10587502C22semidirect
66. C17×#525C4semidirect
85. C23×C4×C17C2×C4semidirect
95. C17×#123C2×C4semidirect
96. C17×C22⋊Q8C2×C4semidirect
97. C17×C22⋊Q8C2×C4semidirect
98. C17×#121C2×C4semidirect
99. C17×#121C2×C4semidirect
100. C17×#120C2×C4semidirect
101. C4×D4×C17C2×C4semidirect
102. C4×D4×C17C2×C4semidirect
103. C17×#117C2×C4semidirect
346. #525Dic17semidirect
423. C23×C4C2×Dic17semidirect
431. #123C2×Dic17semidirect
432. C22⋊Q8C2×Dic17semidirect
433. C22⋊Q8C2×Dic17semidirect
434. #121C2×Dic17semidirect
435. #121C2×Dic17semidirect
436. #120C2×Dic17semidirect
438. C4×D4C2×Dic17semidirect
439. C4×D4C2×Dic17semidirect
441. #117C2×Dic17semidirect
487. C17#34396semidirect

Maximal subgroups

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

subgroupindex
#145319502
#145319412
#145317802
#145317572
#145317242
#145316442
#145316142
#145315512
#145315422
#145314452
#145314272
#145314172
#145311672
C2×#117626722
C2×C17×#5252
#3439617