Finite Group Databasebeta

← #17194968

Subgroups — #17194968

Order 4352.

2726 conjugacy classes of subgroups.

The subgroup lattice has 684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11763320C211yesmaximal, characteristic
2#14531867C212yesmaximal, complemented
3#14531834C212yesmaximal, complemented
4#14531763C214yesmaximal, complemented
5#14531758C212yesmaximal, complemented
6#14531727C212yesmaximal, complemented
7#14531640C212yesmaximal, complemented
8#14531611C212yesmaximal, complemented
9#14531549C212yesmaximal, complemented
10#14531540C212yesmaximal, complemented
11#14531411C212yesmaximal, complemented
12C4×#10587615C214yesmaximal, complemented
13C2×#11762672C211yesmaximal, characteristic, complemented
14#14531143C212yesmaximal, complemented
15C2×C4×C22⋊C4×C17C211yesmaximal, characteristic, complemented
16C22×#63252C2211yescharacteristic
17#11763320C4116yescomplemented
18C2×#10587615C2212yes—
19C2×#10587610C2211yescharacteristic
20C2×#10587610C2211yescharacteristic
21C2×#10587616C2211yescharacteristic
22C2×#10587616C2211yescharacteristic
23C2×#10587639C2212yes—
24C2×C4×C22⋊D17C2214yes—
25C2×C4×C22⋊D17C2212yes—
26C2×C4×C22⋊D17C2212yes—
27C2×#10587567C2214yes—
28C2×#10587612C2211yescharacteristic
29C22×C22⋊Dic17C2212yes—
30#11762713C2214yescomplemented
31#11762709C2214yes—
32#11762703C2214yes—
33#11762700C2214yescomplemented
34#11762700C2214yescomplemented
35#11762697C2214yes—
36#11762694C2214yescomplemented
37#11762693C2214yescomplemented
38#11762693C2214yescomplemented
39#11762692C2214yescomplemented
40#11762688C2214yes—
41#11762687C2214yescomplemented
42#11762686C2214yes—
43#11762685C2214yes—
44#11762682C2214yes—
45#11762681C2214yes—
46#11762676C2212yescomplemented
47#11762673C2212yescomplemented
48#11762672C2212yes—
49#11762672C2211yescharacteristic
50#11762672C2211yescharacteristic
51#11762672C2212yes—
52#11762672C2212yes—
53#11762671C2212yescomplemented
54#11762668C2212yescomplemented
55C4×#63225C2214yescomplemented
56C4×#63225C2214yescomplemented
57#11762660C2212yescomplemented
58C22⋊C4×Dic17C2214yes—
59C4×#63227C2214yescomplemented
60C4×#63227C2214yescomplemented
61C4×C22⋊Dic17C2214yes—
62#11762656C2212yescomplemented
63#11762654C2212yescomplemented
64C2×#10587502C2212yes—
65C2×#10587502C2212yes—
66#95×D17C2212yescomplemented
67C24×C4×C17C2211yescharacteristic
68C22×C22⋊C4×C17C2212yes—
69C22×C42×C17C2212yes—
70C4×C22⋊C4×C17C2212yes—
71C4×C22⋊C4×C17C2211yescharacteristic
72C4×C22⋊C4×C17C2211yescharacteristic
73C4×C22⋊C4×C17C2212yes—
74C4×C22⋊C4×C17C2212yes—
75C2×C17×#95C2212yes—
76C25×C17C2311yescharacteristic
77C23×C4×C17—44no—
78C23×C4×C17C2×C418yescomplemented
79C23×C4×C17C2314yes—
80C23×C4×C17C2311yescharacteristic
81C23×C4×C17C2311yescharacteristic
82C23×C4×C17C2311yescharacteristic
83C23×C4×C17C2311yescharacteristic
84C23×C4×C17C2311yescharacteristic
85C23×C4×C17C2311yescharacteristic
86C22×C22⋊D17C2312yes—
87C22×C22⋊D17C2312yes—
88C22×C22⋊D17C2312yes—
89C23×Dic17C2314yes—
90C2×#63252—44no—
91C2×#63252C2×C418yescomplemented
92C22×D68C2311yescharacteristic
93C22×C4×D17C2314yes—
94C22×C4×D17C2312yes—
95C22×Dic34C2311yescharacteristic
96C2×C22⋊C4×C17—28no—
97C2×C22⋊C4×C17C2314yes—
98C2×C22⋊C4×C17C2312yes—
99C2×C22⋊C4×C17C2312yes—
100C2×C42×C17—44no—
101C2×C42×C17C2312yes—
102C2×C42×C17C2314yes—
103C2×C42×C17C2312yes—
104#10587639C2×C4116yescomplemented
105C2×C22⋊Dic17—44no—
106C2×C22⋊Dic17C2314yes—
107C2×C22⋊Dic17C2312yes—
108C2×C22⋊Dic17C2312yes—
109C2×C22⋊Dic17C2312yes—
110C2×C22⋊Dic17C2312yes—
111C2×C22⋊Dic17C2312yes—
112#10587616C2×C418yescomplemented
113#10587616C2×C418yescomplemented
114#10587615C2×C4116yescomplemented
115C4×C22⋊D17—48no—
116C4×C22⋊D17C2×C4116yescomplemented
117C4×C22⋊D17C2×C4116yescomplemented
118C2×#63227C2314yes—
119C2×#63227C2314yes—
120C2×#63227C2314yes—
121C2×#63227C2312yes—
122C2×#63227C2312yes—
123#10587612C2×C418yescomplemented
124C2×C4⋊Dic17C2311yescharacteristic
125C2×C4⋊Dic17C2311yescharacteristic
126#10587610C2×C418yescomplemented
127#10587610C2×C418yescomplemented
128C2×#63225C2314yes—
129C2×#63225C2314yes—
130C2×#63225C2314yes—
131C2×#63225C2312yes—
132C2×#63225C2312yes—
133C2×C4×Dic17C2314yes—
134C2×C4×Dic17C2314yes—
135C2×C4×Dic17C2314yes—
136C2×C4×Dic17C2312yes—
137#10587567—216no—
138C17×#95C2314yes—
139C17×#95C2312yes—
140C17×#95C2312yes—
141#10587502C2314yes—
142#10587502C2314yes—
143#10587502C2314yes—
144#10587502C2314yes—
145#10587502C2314yes—
146#10587502C2312yes—
147#10587502C2314yes—
148#10587502C2314yes—
149#10587502C2314yes—
150#10587502C2312yes—
151#10587502C2312yes—
152#10587502C2312yes—
153C24×C17—24no—
154C24×C17—24no—
155C24×C17—42no—
156C24×C17C22×C414yes—
157C24×C17C2411yescharacteristic
158C24×C17C2411yescharacteristic
159C24×C17C2411yescharacteristic
160C23×D17C2412yes—
161C22×C4×C17—24no—
162C22×C4×C17—24no—
163C22×C4×C17—28no—
164C22×C4×C17—28no—
165C22×C4×C17—416no—
166C22×C4×C17—42no—
167C22×C4×C17—42no—
168C22×C4×C17—42no—
169C22×C4×C17—42no—
170C22×C4×C17—44no—
171C22×C4×C17C22×C414yes—
172C22×C4×C17C22×C414yes—
173C22×C4×C17C22×C414yes—
174C22×C4×C17C22×C414yes—
175C22×C4×C17C22×C414yes—
176C22×C4×C17C22×C414yes—
177C22×C4×C17C2414yes—
178C22×C4×C17C2411yescharacteristic
179C22×C4×C17C2411yescharacteristic
180C22×C4×C17C2411yescharacteristic
181C22×C4×C17C2411yescharacteristic
182C22×C4×C17C2414yes—
183C2×C22⋊D17—28no—
184C2×C22⋊D17—28no—
185C2×C22⋊D17—42no—
186C2×C22⋊D17—42no—
187C2×C22⋊D17C22×C418yes—
188C2×C22⋊D17C22×C418yes—
189C2×C22⋊D17C22×C418yes—
190C22×Dic17—28no—
191C22×Dic17—44no—
192C22×Dic17—44no—
193C22×Dic17C2414yes—
194C22×Dic17C2414yes—
195C22×Dic17C2412yes—
196C22×Dic17C2412yes—
197C22×Dic17C2412yes—
198#63252—416no—
199C2×D68—42no—
200C2×D68C22×C414yes—
201C2×C4×D17—28no—
202C2×C4×D17—44no—
203C2×C4×D17—44no—
204C2×C4×D17—44no—
205C2×C4×D17C22×C418yes—
206C2×Dic34—42no—
207C2×Dic34C22×C414yes—
208C22⋊C4×C17—24no—
209C22⋊C4×C17—28no—
210C22⋊C4×C17#4118yescomplemented
211C42×C17—42no—
212C42×C17—44no—
213C42×C17—42no—
214C22⋊Dic17—28no—
215C22⋊Dic17—42no—
216C22⋊Dic17—42no—
217C22⋊Dic17C22×C418yes—
218C22⋊Dic17C22×C418yes—
219C22⋊Dic17C22×C418yes—
220#63227—28no—
221#63227—44no—
222#63227—44no—
223#63227C22×C418yes—
224#63227C22×C418yes—
225C4⋊Dic17C22×C414yes—
226C4⋊Dic17C22×C414yes—
227#63225—28no—
228#63225—44no—
229#63225—44no—
230#63225C22×C418yes—
231#63225C22×C418yes—
232C4×Dic17—28no—
233C4×Dic17—44no—
234C4×Dic17—44no—
235C4×Dic17C22×C418yes—
236#34228—171nomaximal, Sylow
237C23×C17—22no—
238C23×C17—22no—
239C23×C17—22no—
240C23×C17—22no—
241C23×C17—28no—
242C23×C17—28no—
243C23×C17—22no—
244C23×C17—22no—
245C23×C17—22no—
246C23×C17—44no—
247C23×C17—416no—
248C23×C17C23×C412yes—
249C23×C17C23×C412yes—
250C23×C17C23×C412yes—
251C23×C17C2×#4114yes—
252C23×C17H(5,𝔽2)14yes—
253C23×C17C2511yescharacteristic
254C22×D17—24no—
255C22×D17—24no—
256C22×D17—22no—
257C22×D17—22no—
258C22×D17C23×C414yes—
259C2×C4×C17—28no—
260C2×C4×C17—28no—
261C2×C4×C17—24no—
262C2×C4×C17—22no—
263C2×C4×C17—22no—
264C2×C4×C17—22no—
265C2×C4×C17—22no—
266C2×C4×C17—24no—
267C2×C4×C17—24no—
268C2×C4×C17—24no—
269C2×C4×C17—24no—
270C2×C4×C17—44no—
271C2×C4×C17—44no—
272C2×C4×C17—44no—
273C2×C4×C17—44no—
274C2×C4×C17—416no—
275C2×C4×C17C23×C412yes—
276C2×C4×C17C23×C412yes—
277C2×C4×C17C23×C412yes—
278C2×C4×C17C23×C412yes—
279C2×C4×C17C2×#4118yes—
280C22⋊D17—216no—
281C22⋊D17—216no—
282C22⋊D17—48no—
283C2×Dic17—24no—
284C2×Dic17—24no—
285C2×Dic17—22no—
286C2×Dic17—22no—
287C2×Dic17—24no—
288C2×Dic17—24no—
289C2×Dic17—24no—
290C2×Dic17—24no—
291C2×Dic17—24no—
292C2×Dic17—24no—
293C2×Dic17—88no—
294C2×Dic17C23×C414yes—
295C2×Dic17C23×C414yes—
296C2×Dic17C23×C414yes—
297D68—44no—
298C4×D17—48no—
299C4×D17—88no—
300Dic34—44no—
301C2×#525—171no—
302#2368—172no—
303#2364—172no—
304#2358—174no—
305#2357—172no—
306#2353—172no—
307#2343—172no—
308#2339—172no—
309#2333—172no—
310#2332—172no—
311#2318—172no—
312C4×#123—174no—
313C2×#381—171no—
314#2275—172no—
315C2×C4×C22⋊C4D1711yescharacteristic, complemented
316C22×C17—22no—
317C22×C17—22no—
318C22×C17—22no—
319C22×C17—22no—
320C22×C17—28no—
321C22×C17—28no—
322C22×C17—22no—
323C22×C17—22no—
324C22×C17—22no—
325C22×C17—416no—
326C22×C17—44no—
327C22×C17C4×#4114yes—
328C22×C17#51814yes—
329C22×C17C24×C411yescharacteristic
330C22×C17C22×#4112yes—
331C22×C17C2×H(5,𝔽2)12yes—
332C22×C17#58512yes—
333C2×D17—24no—
334C2×D17—24no—
335C2×D17—24no—
336C2×D17—44no—
337C2×D17—44no—
338C4×C17—22no—
339C4×C17—22no—
340C4×C17—22no—
341C4×C17—22no—
342C4×C17—28no—
343C4×C17—44no—
344Dic17—24no—
345Dic17—24no—
346Dic17—24no—
347Dic17—44no—
348Dic17—44no—
349C22×#41—171no—
350C24×C4C2×D1711yescharacteristic
351#525—1716no—
352C2×#123—172no—
353C2×C22⋊Q8—171no—
354C2×C22⋊Q8—171no—
355C2×#121—171no—
356C2×#121—171no—
357C2×#120—172no—
358C2×C4×D4—172no—
359C2×C4×D4—172no—
360C2×C4×D4—174no—
361C2×C4×D4—174no—
362C2×#117—171no—
363C22×C22⋊C4—172no—
364C22×C22⋊C4C2×D1712yes—
365C22×C42C2×D1712yes—
366#391—174no—
367#390—174no—
368#388—174no—
369#388—174no—
370#388—174no—
371#388—174no—
372#387—174no—
373#387—174no—
374#387—174no—
375#387—174no—
376#386—174no—
377#386—174no—
378#386—174no—
379#386—174no—
380#385—174no—
381#385—174no—
382#383—172no—
383#382—172no—
384#381—172no—
385#381—172no—
386#381—171no—
387#381—171no—
388#381—172no—
389#381—172no—
390#380—172no—
391C4×C4⋊C4—174no—
392C4×C4⋊C4—174no—
393C4×C4⋊C4—172no—
394C4×C22⋊C4—174no—
395C4×C22⋊C4—174no—
396C4×C22⋊C4—174no—
397C4×C22⋊C4—174no—
398C4×C22⋊C4—172no—
399C4×C22⋊C4C2×D1711yescharacteristic
400C4×C22⋊C4C2×D1712yes—
401C4×C22⋊C4C2×D1712yes—
402C4×C22⋊C4C2×D1712yes—
403C4×C22⋊C4C2×D1711yescharacteristic
404#376—172no—
405C2×#95—172no—
406C2×#95—172no—
407C2×#95—172no—
408C2×#95C2×D1712yes—
409C2×C17—24no—
410C2×C17—24no—
411C2×C17—42no—
412C2×C17C2×C4×#4111yescharacteristic
413C2×C17C2×#51811yescharacteristic
414C2×C17#342811yescharacteristic
415C2×C17#351314yes—
416D17—44no—
417C25C22×D1711yescharacteristic
418C2×#41—178no—
419C2×#41—684no—
420C22×Q8—171no—
421C22×D4—172no—
422C22×D4—172no—
423C22×D4—172no—
424C22×D4—171no—
425C23×C4—44no—
426C23×C4—172no—
427C23×C4—174no—
428C23×C4—174no—
429C23×C4C4×D1718yescomplemented
430C23×C4C22×D1714yes—
431C23×C4C22×D1711yescharacteristic
432C23×C4C22×D1711yescharacteristic
433C23×C4C22×D1711yescharacteristic
434C23×C4C22×D1711yescharacteristic
435C23×C4C22×D1711yescharacteristic
436C23×C4C22×D1711yescharacteristic
437#123—1716no—
438C22⋊Q8—178no—
439C22⋊Q8—178no—
440#121—178no—
441#121—178no—
442#120—1716no—
443C4×D4—1716no—
444C4×D4—1716no—
445C4×D4—3416no—
446C4×D4—688no—
447#117—178no—
448C2×C4⋊C4—171no—
449C2×C4⋊C4—171no—
450C2×C4⋊C4—172no—
451C2×C4⋊C4—172no—
452C2×C4⋊C4—174no—
453C2×C4⋊C4—174no—
454C2×C4⋊C4—174no—
455C2×C22⋊C4—28no—
456C2×C22⋊C4—172no—
457C2×C22⋊C4—172no—
458C2×C22⋊C4—172no—
459C2×C22⋊C4—172no—
460C2×C22⋊C4—172no—
461C2×C22⋊C4—174no—
462C2×C22⋊C4—174no—
463C2×C22⋊C4—172no—
464C2×C22⋊C4—172no—
465C2×C22⋊C4—174no—
466C2×C22⋊C4—174no—
467C2×C22⋊C4—684no—
468C2×C22⋊C4C22×D1712yes—
469C2×C22⋊C4C22×D1714yes—
470C2×C22⋊C4C22×D1712yes—
471C2×C42—44no—
472C2×C42—172no—
473C2×C42—174no—
474C2×C42—174no—
475C2×C42—174no—
476C2×C42C22×D1712yes—
477C2×C42C22×D1714yes—
478C2×C42C22×D1712yes—
479#95—172no—
480#95—172no—
481#95—172no—
482#95—174no—
483#95—174no—
484#95—172no—
485#95—174no—
486#95—174no—
487#95—174no—
488#95—174no—
489#95—174no—
490#95—174no—
491#95C22×D1712yes—
492#95C22×D1712yes—
493#95C22×D1714yes—
494C17#3422811yescharacteristic, complemented, Sylow
495C24—24no—
496C24—24no—
497C24—42no—
498C24—172no—
499C24C2×C4×D1714yes—
500C24C23×D1711yescharacteristic
501C24C23×D1711yescharacteristic
502C24C23×D1711yescharacteristic
503#41—6816no—
504C2×Q8—174no—
505C2×Q8—682no—
506C2×D4—178no—
507C2×D4—178no—
508C2×D4—178no—
509C2×D4—174no—
510C2×D4—348no—
511C2×D4—348no—
512C2×D4—682no—
513C2×D4—682no—
514C2×D4—682no—
515C22×C4—24no—
516C22×C4—24no—
517C22×C4—28no—
518C22×C4—28no—
519C22×C4—416no—
520C22×C4—42no—
521C22×C4—42no—
522C22×C4—42no—
523C22×C4—42no—
524C22×C4—44no—
525C22×C4—172no—
526C22×C4—172no—
527C22×C4—172no—
528C22×C4—178no—
529C22×C4—174no—
530C22×C4—174no—
531C22×C4—348no—
532C22×C4—348no—
533C22×C4—684no—
534C22×C4—684no—
535C22×C4—684no—
536C22×C4—684no—
537C22×C4—684no—
538C22×C4C2×C4×D1714yes—
539C22×C4C2×C4×D1714yes—
540C22×C4C2×C4×D1714yes—
541C22×C4C2×C4×D1714yes—
542C22×C4C2×C4×D1714yes—
543C22×C4C2×C4×D1714yes—
544C22×C4C23×D1714yes—
545C22×C4C23×D1711yescharacteristic
546C22×C4C23×D1711yescharacteristic
547C22×C4C23×D1711yescharacteristic
548C22×C4C23×D1711yescharacteristic
549C22×C4C23×D1714yes—
550C4⋊C4—174no—
551C4⋊C4—174no—
552C4⋊C4—178no—
553C4⋊C4—178no—
554C4⋊C4—348no—
555C4⋊C4—684no—
556C4⋊C4—684no—
557C22⋊C4—24no—
558C22⋊C4—28no—
559C22⋊C4—178no—
560C22⋊C4—178no—
561C22⋊C4—178no—
562C22⋊C4—178no—
563C22⋊C4—178no—
564C22⋊C4—348no—
565C22⋊C4—348no—
566C22⋊C4—684no—
567C22⋊C4—684no—
568C22⋊C4—682no—
569C22⋊C4—682no—
570C22⋊C4#6325218yescomplemented
571C42—42no—
572C42—44no—
573C42—42no—
574C42—178no—
575C42—348no—
576C42—684no—
577C42—684no—
578C23—22no—
579C23—22no—
580C23—22no—
581C23—22no—
582C23—28no—
583C23—28no—
584C23—22no—
585C23—22no—
586C23—22no—
587C23—44no—
588C23—416no—
589C23—174no—
590C23—344no—
591C23—344no—
592C23—342no—
593C23—342no—
594C23C22×C4×D1712yes—
595C23C22×C4×D1712yes—
596C23C22×C4×D1712yes—
597C23C2×#6325214yes—
598C23#1058769114yes—
599C23C24×D1711yescharacteristic
600Q8—684no—
601D4—3416no—
602D4—3416no—
603D4—684no—
604D4—688no—
605C2×C4—28no—
606C2×C4—28no—
607C2×C4—24no—
608C2×C4—22no—
609C2×C4—22no—
610C2×C4—22no—
611C2×C4—22no—
612C2×C4—24no—
613C2×C4—24no—
614C2×C4—24no—
615C2×C4—24no—
616C2×C4—44no—
617C2×C4—44no—
618C2×C4—44no—
619C2×C4—44no—
620C2×C4—416no—
621C2×C4—174no—
622C2×C4—174no—
623C2×C4—174no—
624C2×C4—344no—
625C2×C4—344no—
626C2×C4—342no—
627C2×C4—342no—
628C2×C4—344no—
629C2×C4—344no—
630C2×C4—344no—
631C2×C4—344no—
632C2×C4—344no—
633C2×C4—344no—
634C2×C4—688no—
635C2×C4—1368no—
636C2×C4—1368no—
637C2×C4C22×C4×D1712yes—
638C2×C4C22×C4×D1712yes—
639C2×C4C22×C4×D1712yes—
640C2×C4C22×C4×D1712yes—
641C2×C4C2×#6325218yes—
642C22—28no—
643C22—28no—
644C22—22no—
645C22—22no—
646C22—22no—
647C22—22no—
648C22—22no—
649C22—22no—
650C22—22no—
651C22—416no—
652C22—44no—
653C22—344no—
654C22—344no—
655C22—344no—
656C22—684no—
657C22—684no—
658C22C4×#6325214yes—
659C22#1176328214yes—
660C22C23×C4×D1711yescharacteristic
661C22C22×#6325212yes—
662C22C2×#1058769112yes—
663C22#1176364512yes—
664C4—28no—
665C4—22no—
666C4—22no—
667C4—22no—
668C4—22no—
669C4—44no—
670C4—344no—
671C4—344no—
672C4—344no—
673C4—684no—
674C4—684no—
675C2—24no—
676C2—24no—
677C2—42no—
678C2—684no—
679C2C2×C4×#6325211yescharacteristic
680C2C2×#1176328211yescharacteristic
681C2#1454198511yescharacteristic
682C2#1454272414yes—
subgroupG/H
center, FrattiniC23C24×D17
commutatorC22×C17C24×C4
FittingC2×C4×C22⋊C4×C17C2
socle, cosocleC23×C17C25
prime radicalC2×#11763320C2
hypercenterC2×C4×C22⋊C4D17
hypocenterC17#34228
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C23 ◁ C2×C4×C22⋊C4

Complements

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

NH ≅ G/Ntype
2. #14531867C2semidirect
3. #14531834C2semidirect
4. #14531763C2semidirect
5. #14531758C2semidirect
6. #14531727C2semidirect
7. #14531640C2semidirect
8. #14531611C2semidirect
9. #14531549C2semidirect
10. #14531540C2semidirect
11. #14531411C2semidirect
12. C4×#10587615C2semidirect
13. C2×#11762672C2semidirect
14. #14531143C2semidirect
15. C2×C4×C22⋊C4×C17C2semidirect
17. #11763320C4semidirect
30. #11762713C22semidirect
33. #11762700C22semidirect
34. #11762700C22semidirect
36. #11762694C22semidirect
37. #11762693C22semidirect
38. #11762693C22semidirect
39. #11762692C22semidirect
41. #11762687C22semidirect
46. #11762676C22semidirect
47. #11762673C22semidirect
53. #11762671C22semidirect
54. #11762668C22semidirect
55. C4×#63225C22semidirect
56. C4×#63225C22semidirect
57. #11762660C22semidirect
59. C4×#63227C22semidirect
60. C4×#63227C22semidirect
62. #11762656C22semidirect
63. #11762654C22semidirect
66. #95×D17C22semidirect
78. C23×C4×C17C2×C4semidirect
91. C2×#63252C2×C4semidirect
104. #10587639C2×C4semidirect
112. #10587616C2×C4semidirect
113. #10587616C2×C4semidirect
114. #10587615C2×C4semidirect
116. C4×C22⋊D17C2×C4semidirect
117. C4×C22⋊D17C2×C4semidirect
123. #10587612C2×C4semidirect
126. #10587610C2×C4semidirect
127. #10587610C2×C4semidirect
210. C22⋊C4×C17#41semidirect
315. C2×C4×C22⋊C4D17semidirect
429. C23×C4C4×D17semidirect
494. C17#34228semidirect
570. C22⋊C4#63252semidirect

Maximal subgroups

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

subgroupindex
C2×#117633202
#145318672
#145318342
#145317632
#145317582
#145317272
#145316402
#145316112
#145315492
#145315402
#145314112
C4×#105876152
C2×#117626722
#145311432
C2×C4×C22⋊C4×C172
#3422817