Finite Group Databasebeta

← #17050728

Subgroups — #17050728

Order 4352.

1130 conjugacy classes of subgroups.

The subgroup lattice has 712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11763494C211yesmaximal, characteristic
2C2×#11762885C211yesmaximal, characteristic
3#14531714C211yesmaximal, characteristic
4#14529747C211yesmaximal, characteristic, complemented
5#14529740C211yesmaximal, characteristic, complemented
6#14529217C211yesmaximal, characteristic, complemented
7#14529216C211yesmaximal, characteristic, complemented
8#14529096C211yesmaximal, characteristic, complemented
9#14529090C211yesmaximal, characteristic, complemented
10#14528878C211yesmaximal, characteristic, complemented
11#14528874C211yesmaximal, characteristic, complemented
12#14528798C211yesmaximal, characteristic, complemented
13#14528603C211yesmaximal, characteristic, complemented
14#14528502C211yesmaximal, characteristic, complemented
15C17×#1736C211yesmaximal, characteristic, complemented
16C22×#63218C2211yescharacteristic
17#11763494—24no—
18#11763494C418yescomplemented
19C2×#10587584—21no—
20C2×#10587576C2211yescharacteristic
21C2×#10587575—21no—
22C2×#10587615—21no—
23C2×#10587583C2211yescharacteristic
24C2×#10587610C2211yescharacteristic
25C2×#10587573C2211yescharacteristic
26C2×C4×C22⋊D17C2211yescharacteristic
27C2×#10587612—21no—
28C2×#10587578C2211yescharacteristic
29C2×C4⋊C4×D17C2211yescharacteristic
30#11762885—24no—
31C2×#10587485C2211yescharacteristic
32C2×#10587487C2211yescharacteristic
33C2×#10587487C2211yescharacteristic
34C2×#10587481C2211yescharacteristic
35C2×#10587481C2211yescharacteristic
36C2×C22⋊#3622C2211yescharacteristic
37C2×#10587491C2211yescharacteristic
38C2×C8×Dic17C2211yescharacteristic
39#11762703—21no—
40#11762693—21no—
41#11762685—21no—
42#11762674C2211yescharacteristic
43#11762669C2211yescharacteristic
44#11762666C2211yescharacteristic
45C4⋊C4×Dic17C2211yescharacteristic
46C4×#63227—21no—
47#11762572C2211yescharacteristic
48#11762572C2211yescharacteristic
49#11762571C2211yescharacteristic
50#11762571C2211yescharacteristic
51#11762571C2211yescharacteristic
52#11762571C2211yescharacteristic
53#11762571C2211yescharacteristic
54#11762571C2211yescharacteristic
55C22×M16×C17C2211yescharacteristic
56C2×C17×#117C2211yescharacteristic
57C22×C4⋊C4×C17C2211yescharacteristic
58C17×#340C2211yescharacteristic
59C17×#340C2211yescharacteristic
60C17×#340C2211yescharacteristic
61C17×#340C2211yescharacteristic
62C23×C4×C17—21no—
63C23×C4×C17C2311yescharacteristic
64C22×C22⋊D17D411yescharacteristic
65C22×C4×D17—21no—
66C22×C4×D17C2311yescharacteristic
67C22×Dic34C2311yescharacteristic
68C2×M16×C17—22no—
69C2×M16×C17—22no—
70C2×M16×C17—41no—
71C22×C8×C17C2311yescharacteristic
72C22×C8×C17C2311yescharacteristic
73C17×#117—22no—
74C17×#117—41no—
75C2×C4⋊C4×C17—22no—
76C2×C4⋊C4×C17—21no—
77C2×C4⋊C4×C17C2×C414yescomplemented
78C2×C4⋊C4×C17C2311yescharacteristic
79C2×C4⋊C4×C17C2311yescharacteristic
80C2×C4⋊C4×C17C2311yescharacteristic
81C2×C4⋊C4×C17C2311yescharacteristic
82C2×C22⋊C4×C17—21no—
83C2×C42×C17—21no—
84C2×C22⋊Dic17—21no—
85C2×C22⋊Dic17—21no—
86C2×C22⋊Dic17D411yescharacteristic
87#10587615—28no—
88C4×C22⋊D17C2×C414yes—
89C4×C22⋊D17D414yes—
90C2×#63227—21no—
91C2×#63227—21no—
92C2×#63227—21no—
93C2×#63227D411yescharacteristic
94#10587612—28no—
95C2×C4⋊Dic17—21no—
96C2×C4⋊Dic17—21no—
97C2×C4⋊Dic17C2311yescharacteristic
98C2×C4⋊Dic17C2311yescharacteristic
99C2×C4⋊Dic17C2311yescharacteristic
100#10587610—22no—
101#10587610C2×C414yescomplemented
102C2×#63225—21no—
103C2×#63225—21no—
104C2×#63225—21no—
105C2×#63225—21no—
106C2×#63225D411yescharacteristic
107C2×C4×Dic17—21no—
108C2×C4×Dic17—21no—
109C2×C4×Dic17—21no—
110C2×C4×Dic17C2311yescharacteristic
111C22×#3622C2311yescharacteristic
112C22×#3622C2311yescharacteristic
113C2×#63218—22no—
114C2×#63218—22no—
115C2×#63218—41no—
116#10587584—28no—
117#10587583—22no—
118#10587583C2×C414yes—
119#10587578—22no—
120#10587578C2×C414yes—
121C4⋊C4×D17—22no—
122C4⋊C4×D17—41no—
123#10587576—22no—
124#10587576C2×C414yescomplemented
125#10587575—28no—
126#10587573—22no—
127#10587573C2×C414yescomplemented
128#10587502—21no—
129#10587502—21no—
130#10587502—21no—
131#10587502—21no—
132#10587502—21no—
133C22⋊#3622—22no—
134#10587491—22no—
135#10587487—22no—
136#10587487—41no—
137#10587485—22no—
138C8×Dic17—22no—
139#10587481—22no—
140#10587481—41no—
141C24×C17C2×D411yescharacteristic
142C23×D17C2×D411yescharacteristic
143C22×C4×C17—21no—
144C22×C4×C17—21no—
145C22×C4×C17—21no—
146C22×C4×C17—21no—
147C22×C4×C17—24no—
148C22×C4×C17—21no—
149C22×C4×C17—21no—
150C22×C4×C17—21no—
151C22×C4×C17—21no—
152C22×C4×C17—42no—
153C22×C4×C17—42no—
154C22×C4×C17C22×C412yes—
155C22×C4×C17C2×D411yescharacteristic
156C22×C4×C17C2×D412yes—
157C22×C4×C17C2411yescharacteristic
158C2×C22⋊D17—41no—
159C2×C22⋊D17—41no—
160C2×C22⋊D17C22⋊C414yes—
161C22×Dic17—21no—
162C22×Dic17—21no—
163C22×Dic17—21no—
164C22×Dic17—21no—
165C22×Dic17C2×D411yescharacteristic
166C22×Dic17C2×D411yescharacteristic
167C22×Dic17C2×D411yescharacteristic
168C2×C4×D17—21no—
169C2×C4×D17—21no—
170C2×C4×D17—21no—
171C2×C4×D17—21no—
172C2×C4×D17—42no—
173C2×C4×D17—42no—
174C2×C4×D17—81no—
175C2×C4×D17C22×C412yes—
176C2×C4×D17C2×D412yes—
177C2×Dic34—21no—
178C2×Dic34—21no—
179C2×Dic34—21no—
180C2×Dic34—21no—
181C2×Dic34—21no—
182C2×Dic34C22×C412yes—
183M16×C17—44no—
184C2×C8×C17—21no—
185C2×C8×C17—21no—
186C2×C8×C17—21no—
187C2×C8×C17—21no—
188C2×C8×C17—21no—
189C2×C8×C17#4112yes—
190C4⋊C4×C17—24no—
191C4⋊C4×C17—21no—
192C4⋊C4×C17—21no—
193C4⋊C4×C17—21no—
194C4⋊C4×C17—21no—
195C4⋊C4×C17—21no—
196C4⋊C4×C17C22×C412yes—
197C4⋊C4×C17C22×C412yes—
198C4⋊C4×C17#4112yes—
199C22⋊C4×C17—42no—
200C42×C17—42no—
201C22⋊Dic17—24no—
202C22⋊Dic17—81no—
203C22⋊Dic17C22⋊C414yes—
204#63227—24no—
205#63227—24no—
206#63227—42no—
207#63227C22⋊C414yes—
208C4⋊Dic17—21no—
209C4⋊Dic17—24no—
210C4⋊Dic17—24no—
211C4⋊Dic17—21no—
212C4⋊Dic17—21no—
213C4⋊Dic17—21no—
214C4⋊Dic17—21no—
215C4⋊Dic17C22×C412yes—
216#63225—24no—
217#63225—24no—
218#63225—24no—
219#63225—42no—
220#63225C22⋊C414yes—
221C4×Dic17—24no—
222C4×Dic17—24no—
223C4×Dic17—81no—
224C4×Dic17C22×C412yes—
225C4×Dic17C2×D412yes—
226C2×#3622—21no—
227C2×#3622—21no—
228C2×#3622—21no—
229C2×#3622—21no—
230C2×#3622—21no—
231C2×#3622—21no—
232#63218—44no—
233#22499—171nomaximal, Sylow
234C23×C17—21no—
235C23×C17—21no—
236C23×C17—21no—
237C23×C17—21no—
238C23×C17—21no—
239C23×C17—21no—
240C23×C17C2×C22⋊C412yes—
241C23×C17C22×D411yescharacteristic
242C22×D17—21no—
243C22×D17—21no—
244C22×D17—21no—
245C22×D17—21no—
246C22×D17—21no—
247C22×D17—21no—
248C22×D17C2×C22⋊C412yes—
249C2×C4×C17—21no—
250C2×C4×C17—21no—
251C2×C4×C17—22no—
252C2×C4×C17—22no—
253C2×C4×C17—22no—
254C2×C4×C17—22no—
255C2×C4×C17—22no—
256C2×C4×C17—22no—
257C2×C4×C17—22no—
258C2×C4×C17—48no—
259C2×C4×C17—41no—
260C2×C4×C17—41no—
261C2×C4×C17—41no—
262C2×C4×C17—41no—
263C2×C4×C17—41no—
264C2×C4×C17—41no—
265C2×C4×C17—41no—
266C2×C4×C17—41no—
267C2×C4×C17—41no—
268C2×C4×C17C2×C22⋊C412yes—
269C2×C4×C17C23×C411yescharacteristic
270C2×C4×C17C22×D411yescharacteristic
271C2×C4×C17C2×#4111yescharacteristic
272C2×C4×C17C2×#4111yescharacteristic
273C2×C4×C17H(5,𝔽2)11yescharacteristic
274C2×C4×C172−1+411yescharacteristic
275C22⋊D17—44no—
276C2×Dic17—21no—
277C2×Dic17—21no—
278C2×Dic17—21no—
279C2×Dic17—21no—
280C2×Dic17—21no—
281C2×Dic17—21no—
282C2×Dic17—22no—
283C2×Dic17—22no—
284C2×Dic17—41no—
285C2×Dic17—41no—
286C2×Dic17—41no—
287C2×Dic17—41no—
288C2×Dic17—41no—
289C2×Dic17—41no—
290C2×Dic17—41no—
291C2×Dic17—41no—
292C2×Dic17—41no—
293C2×Dic17—41no—
294C2×Dic17C2×C22⋊C412yes—
295C2×Dic17C2×C22⋊C412yes—
296C2×Dic17C2×C22⋊C412yes—
297C4×D17—22no—
298C4×D17—22no—
299C4×D17—22no—
300C4×D17—22no—
301C4×D17—84no—
302Dic34—22no—
303Dic34—22no—
304Dic34—41no—
305Dic34—41no—
306C8×C17—22no—
307C8×C17—41no—
308#3622—41no—
309#3622—41no—
310C2×#552—171no—
311C2×#436—171no—
312#2352—171no—
313#1991—171no—
314#1989—171no—
315#1894—171no—
316#1894—171no—
317#1873—171no—
318#1872—171no—
319#1825—171no—
320#1824—171no—
321#1805—171no—
322C4×#103—171no—
323#1736—171no—
324#1736D1711yescharacteristic, complemented
325C22×C17—22no—
326C22×C17—22no—
327C22×C17—22no—
328C22×C17—41no—
329C22×C17—41no—
330C22×C17—41no—
331C22×C17—41no—
332C22×C17C22×C22⋊C411yescharacteristic
333C22×C17#54611yescharacteristic
334C22×C17#54711yescharacteristic
335C22×C17#57511yescharacteristic
336C22×C17#57511yescharacteristic
337C22×C17#57711yescharacteristic
338C22×C17#57811yescharacteristic
339C2×D17—22no—
340C2×D17—22no—
341C2×D17—22no—
342C2×D17—41no—
343C2×D17—41no—
344C2×D17—41no—
345C2×D17—41no—
346C4×C17—22no—
347C4×C17—42no—
348C4×C17—42no—
349C4×C17—42no—
350C4×C17—81no—
351C4×C17C4×#4111yescharacteristic
352C4×C17#52011yescharacteristic
353C4×C17#54611yescharacteristic
354C4×C17#54711yescharacteristic
355Dic17—22no—
356Dic17—22no—
357Dic17—22no—
358Dic17—42no—
359Dic17—42no—
360Dic17—81no—
361Dic17—81no—
362C22×M16—171no—
363C22×M16C2×D1711yescharacteristic
364#552—178no—
365#552—344no—
366C2×#126—341no—
367C2×#125—171no—
368C2×#125—341no—
369C2×#123—341no—
370C2×C22⋊Q8—171no—
371C2×C22⋊Q8—171no—
372C2×C4×Q8—171no—
373C2×C4×D4—171no—
374C2×#117—171no—
375C2×#117—341no—
376C2×#117C2×D1711yescharacteristic
377C22×C4⋊C4—171no—
378C22×C4⋊C4C2×D1711yescharacteristic
379#436—344no—
380C2×C4⋊C8—171no—
381C2×#103—171no—
382C2×#103—171no—
383C2×#103—171no—
384C2×#103—171no—
385C2×C22⋊C8—171no—
386C2×C22⋊C8—171no—
387C2×C4×C8—171no—
388#388—341no—
389#387—341no—
390#386—341no—
391#382—171no—
392#380—171no—
393#380—171no—
394C4×C4⋊C4—171no—
395C4×C22⋊C4—341no—
396#340—171no—
397#340—171no—
398#340—171no—
399#340—171no—
400#340—171no—
401#340—171no—
402#340—171no—
403#340—171no—
404#340C2×D1711yescharacteristic
405#340C2×D1711yescharacteristic
406#340C2×D1711yescharacteristic
407#340C2×D1711yescharacteristic
408C2×C17—42no—
409C2×C17#233911yescharacteristic
410C2×C17#289611yescharacteristic
411C2×C17#289811yescharacteristic
412C2×C17#332311yescharacteristic
413C2×C17#332711yescharacteristic
414C2×C17#335111yescharacteristic
415C2×C17#335211yescharacteristic
416D17—42no—
417C22×Q8—171no—
418C22×D4—171no—
419C23×C4—21no—
420C23×C4—171no—
421C23×C4—341no—
422C23×C4C22×D1711yescharacteristic
423C2×M16—22no—
424C2×M16—22no—
425C2×M16—41no—
426C2×M16—342no—
427C2×M16—342no—
428C2×M16—681no—
429C22×C8—171no—
430C22×C8—171no—
431C22×C8C22×D1711yescharacteristic
432C22×C8C22×D1711yescharacteristic
433#126—348no—
434#125—174no—
435#125—342no—
436#125—348no—
437#123—348no—
438C22⋊Q8—174no—
439C22⋊Q8—174no—
440C22⋊Q8—342no—
441C22⋊Q8—342no—
442C4×Q8—174no—
443C4×Q8—342no—
444C4×D4—174no—
445C4×D4—174no—
446#117—22no—
447#117—41no—
448#117—174no—
449#117—348no—
450#117—342no—
451C2×C4⋊C4—21no—
452C2×C4⋊C4—22no—
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⋊C4—341no—
460C2×C4⋊C4—341no—
461C2×C4⋊C4—341no—
462C2×C4⋊C4—342no—
463C2×C4⋊C4—341no—
464C2×C4⋊C4—681no—
465C2×C4⋊C4C4×D1714yescomplemented
466C2×C4⋊C4C22×D1711yescharacteristic
467C2×C4⋊C4C22×D1711yescharacteristic
468C2×C4⋊C4C22×D1711yescharacteristic
469C2×C4⋊C4C22×D1711yescharacteristic
470C2×C22⋊C4—21no—
471C2×C22⋊C4—171no—
472C2×C22⋊C4—171no—
473C2×C22⋊C4—341no—
474C2×C22⋊C4—341no—
475C2×C22⋊C4—341no—
476C2×C22⋊C4—341no—
477C2×C22⋊C4—341no—
478C2×C42—21no—
479C2×C42—171no—
480C2×C42—341no—
481C2×C42—341no—
482C2×C42—341no—
483C4⋊C8—342no—
484#103—342no—
485#103—342no—
486#103—681no—
487#103—681no—
488C22⋊C8—342no—
489C22⋊C8—342no—
490C4×C8—342no—
491#95—341no—
492#95—341no—
493#95—341no—
494#95—341no—
495#95—341no—
496C17#2249911yescharacteristic, complemented, Sylow
497C24—171no—
498C24D4×D1711yescharacteristic
499C2×Q8—172no—
500C2×Q8—341no—
501C2×Q8—341no—
502C2×Q8—341no—
503C2×Q8—341no—
504C2×Q8—341no—
505C2×D4—174no—
506C2×D4—681no—
507C2×D4—681no—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—24no—
516C22×C4—21no—
517C22×C4—42no—
518C22×C4—42no—
519C22×C4—171no—
520C22×C4—171no—
521C22×C4—171no—
522C22×C4—172no—
523C22×C4—172no—
524C22×C4—341no—
525C22×C4—341no—
526C22×C4—341no—
527C22×C4—341no—
528C22×C4—341no—
529C22×C4—341no—
530C22×C4—341no—
531C22×C4—341no—
532C22×C4—682no—
533C22×C4—682no—
534C22×C4—1361no—
535C22×C4C2×C4×D1712yes—
536C22×C4D4×D1712yes—
537C22×C4D4×D1711yescharacteristic
538C22×C4C23×D1711yescharacteristic
539M16—44no—
540M16—684no—
541C2×C8—21no—
542C2×C8—21no—
543C2×C8—21no—
544C2×C8—21no—
545C2×C8—21no—
546C2×C8—341no—
547C2×C8—341no—
548C2×C8—341no—
549C2×C8—341no—
550C2×C8—341no—
551C2×C8—341no—
552C2×C8#6325212yes—
553C4⋊C4—21no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—24no—
557C4⋊C4—21no—
558C4⋊C4—21no—
559C4⋊C4—174no—
560C4⋊C4—172no—
561C4⋊C4—344no—
562C4⋊C4—344no—
563C4⋊C4—344no—
564C4⋊C4—344no—
565C4⋊C4—341no—
566C4⋊C4—344no—
567C4⋊C4—341no—
568C4⋊C4—341no—
569C4⋊C4—341no—
570C4⋊C4—341no—
571C4⋊C4—682no—
572C4⋊C4C2×C4×D1712yes—
573C4⋊C4C2×C4×D1712yes—
574C4⋊C4#6325212yes—
575C22⋊C4—42no—
576C22⋊C4—174no—
577C22⋊C4—174no—
578C22⋊C4—344no—
579C22⋊C4—344no—
580C22⋊C4—344no—
581C22⋊C4—682no—
582C22⋊C4—1361no—
583C42—42no—
584C42—172no—
585C42—172no—
586C42—344no—
587C42—344no—
588C42—1361no—
589C23—21no—
590C23—21no—
591C23—21no—
592C23—21no—
593C23—21no—
594C23—21no—
595C23—172no—
596C23—341no—
597C23—341no—
598C23—341no—
599C23—341no—
600C23—341no—
601C23—341no—
602C23C22⋊C4×D1712yes—
603C23C2×D4×D1711yescharacteristic
604Q8—342no—
605Q8—342no—
606Q8—681no—
607Q8—681no—
608D4—684no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—22no—
612C2×C4—22no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—22no—
616C2×C4—22no—
617C2×C4—22no—
618C2×C4—48no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—172no—
629C2×C4—172no—
630C2×C4—172no—
631C2×C4—341no—
632C2×C4—341no—
633C2×C4—341no—
634C2×C4—341no—
635C2×C4—341no—
636C2×C4—341no—
637C2×C4—342no—
638C2×C4—342no—
639C2×C4—342no—
640C2×C4—342no—
641C2×C4—342no—
642C2×C4—342no—
643C2×C4—681no—
644C2×C4—681no—
645C2×C4—681no—
646C2×C4—681no—
647C2×C4—681no—
648C2×C4—681no—
649C2×C4—681no—
650C2×C4—681no—
651C2×C4—681no—
652C2×C4—681no—
653C2×C4—1364no—
654C2×C4C22⋊C4×D1712yes—
655C2×C4C22×C4×D1711yescharacteristic
656C2×C4C2×#6325211yescharacteristic
657C2×C4C2×#6325211yescharacteristic
658C2×C4C2×D4×D1711yescharacteristic
659C2×C4#1058769111yescharacteristic
660C2×C4#1058769411yescharacteristic
661C8—22no—
662C8—41no—
663C8—681no—
664C8—681no—
665C22—22no—
666C22—22no—
667C22—22no—
668C22—41no—
669C22—41no—
670C22—41no—
671C22—41no—
672C22—342no—
673C22—342no—
674C22—342no—
675C22—681no—
676C22—681no—
677C22—681no—
678C22—681no—
679C22C2×C22⋊C4×D1711yescharacteristic
680C22#1176344911yescharacteristic
681C22#1176346011yescharacteristic
682C22#1176360511yescharacteristic
683C22#1176360511yescharacteristic
684C22#1176361811yescharacteristic
685C22#1176362511yescharacteristic
686C4—22no—
687C4—42no—
688C4—42no—
689C4—42no—
690C4—81no—
691C4—342no—
692C4—342no—
693C4—342no—
694C4—682no—
695C4—682no—
696C4—1361no—
697C4—1361no—
698C4C4×#6325211yescharacteristic
699C4#1176329011yescharacteristic
700C4#1176344911yescharacteristic
701C4#1176346011yescharacteristic
702C2—42no—
703C2—682no—
704C2#1453161111yescharacteristic
705C2#1453729811yescharacteristic
706C2#1453731611yescharacteristic
707C2#1454100111yescharacteristic
708C2#1454105311yescharacteristic
709C2#1454134011yescharacteristic
710C2#1454135511yescharacteristic
subgroupG/H
centerC23C2×D4×D17
commutatorC2×C4×C17C23×C4
FrattiniC22×C4C23×D17
FittingC17×#1736C2
socleC23×C17C22×D4
prime radicalC22×C22⋊D17D4
cosocleC22×C4×C17C24
hypercenter#1736D17
hypocenterC17#22499
LCSG ▷ C2×C4×C17 ▷ C2×C17 ▷ C17
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1736

Complements

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

NH ≅ G/Ntype
4. #14529747C2semidirect
5. #14529740C2semidirect
6. #14529217C2semidirect
7. #14529216C2semidirect
8. #14529096C2semidirect
9. #14529090C2semidirect
10. #14528878C2semidirect
11. #14528874C2semidirect
12. #14528798C2semidirect
13. #14528603C2semidirect
14. #14528502C2semidirect
15. C17×#1736C2semidirect
18. #11763494C4semidirect
77. C2×C4⋊C4×C17C2×C4semidirect
101. #10587610C2×C4semidirect
124. #10587576C2×C4semidirect
127. #10587573C2×C4semidirect
324. #1736D17semidirect
465. C2×C4⋊C4C4×D17semidirect
496. C17#22499semidirect

Maximal subgroups

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

subgroupindex
C2×#117634942
C2×#117628852
#145317142
#145297472
#145297402
#145292172
#145292162
#145290962
#145290902
#145288782
#145288742
#145287982
#145286032
#145285022
C17×#17362
#2249917