Finite Group Databasebeta

← #17054607

Subgroups — #17054607

Order 4352.

1118 conjugacy classes of subgroups.

The subgroup lattice has 736 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11762971C211yesmaximal, characteristic
2C2×#11762909C211yesmaximal, characteristic, complemented
3C2×#11762805C211yesmaximal, characteristic
4#14531809C211yesmaximal, characteristic, complemented
5#14529654C211yesmaximal, characteristic, complemented
6#14529477C211yesmaximal, characteristic, complemented
7#14529422C211yesmaximal, characteristic, complemented
8#14529205C211yesmaximal, characteristic, complemented
9#14529128C211yesmaximal, characteristic, complemented
10#14529118C211yesmaximal, characteristic, complemented
11#14529045C211yesmaximal, characteristic, complemented
12#14528981C211yesmaximal, characteristic, complemented
13#14528609C211yesmaximal, characteristic, complemented
14#14528562C211yesmaximal, characteristic, complemented
15C17×#2339C211yesmaximal, characteristic
16C22×#63231C2211yescharacteristic
17C22×#63229C2211yescharacteristic
18C23×#3622C2211yescharacteristic
19C2×#10587610C2211yescharacteristic
20C2×C4×Dic34C2211yescharacteristic
21C2×#10587612C2211yescharacteristic
22#11762971C418yescomplemented
23#11762909—24no—
24C2×#10587478C2211yescharacteristic
25C2×#10587479C2211yescharacteristic
26#11762805—24no—
27C2×#10587506C2211yescharacteristic
28C2×#10587506C2211yescharacteristic
29C2×#10587506C2211yescharacteristic
30C2×#10587481C2211yescharacteristic
31C2×#10587481C2211yescharacteristic
32C2×#10587503C2211yescharacteristic
33C2×#10587503C2211yescharacteristic
34C2×#10587503C2211yescharacteristic
35C2×C22⋊#3622C2211yescharacteristic
36C2×#10587474C2211yescharacteristic
37C2×#10587474C2211yescharacteristic
38#11762715C2211yescharacteristic
39#11762707C2211yescharacteristic
40#11762703—21no—
41#11762697—21no—
42#11762691—21no—
43C4×C4⋊Dic17C2211yescharacteristic
44#11762660—21no—
45#11762571C2211yescharacteristic
46#11762571C2211yescharacteristic
47#11762571C2211yescharacteristic
48#11762571C2211yescharacteristic
49#11762564C2211yescharacteristic
50#11762564C2211yescharacteristic
51C22×#41×C17C2211yescharacteristic
52C2×C4×D4×C17C2211yescharacteristic
53C2×C4×D4×C17C2211yescharacteristic
54C17×#391C2211yescharacteristic
55C17×#391C2211yescharacteristic
56C17×#386—21no—
57C17×#386—21no—
58C17×#381—21no—
59C17×#380C2211yescharacteristic
60C4×C22⋊C4×C17C2211yescharacteristic
61C2×C17×#95—21no—
62C2×#41×C17—22no—
63C2×#41×C17—22no—
64C2×#41×C17—22no—
65C2×#41×C17—41no—
66C2×#41×C17—41no—
67C2×#41×C17C2×C414yes—
68C22×Q8×C17C2311yescharacteristic
69C22×D4×C17—21no—
70C22×D4×C17C2311yescharacteristic
71C23×C4×C17—21no—
72C23×C4×C17—21no—
73C23×C4×C17—21no—
74C23×C4×C17C2311yescharacteristic
75C22×Dic34C2311yescharacteristic
76C4×D4×C17—22no—
77C4×D4×C17—22no—
78C4×D4×C17—41no—
79C4×D4×C17—41no—
80C2×C4⋊C4×C17C2311yescharacteristic
81C2×C4⋊C4×C17C2311yescharacteristic
82C2×C22⋊C4×C17—21no—
83C2×C22⋊C4×C17—21no—
84C2×C22⋊C4×C17—21no—
85C2×C22⋊C4×C17D411yescharacteristic
86C2×C22⋊C4×C17D411yescharacteristic
87C2×C42×C17C2311yescharacteristic
88C2×C42×C17C2311yescharacteristic
89C2×C22⋊Dic17—21no—
90C2×C22⋊Dic17—21no—
91C2×#63231—41no—
92C2×#63231—41no—
93C2×#63231C2×C414yescomplemented
94C2×#63229—22no—
95C2×#63229—22no—
96C2×#63229C2×C414yes—
97#10587612—22no—
98#10587612—41no—
99C2×C4⋊Dic17C2311yescharacteristic
100C2×C4⋊Dic17C2311yescharacteristic
101C2×C4⋊Dic17C2311yescharacteristic
102#10587610—22no—
103#10587610C2×C414yescomplemented
104C2×#63225—21no—
105C2×#63225—21no—
106C2×#63225—21no—
107C2×C4×Dic17—21no—
108C2×C4×Dic17—21no—
109C2×C4×Dic17—21no—
110C22×#3622—22no—
111C22×#3622—22no—
112C22×#3622—41no—
113C22×#3622C2311yescharacteristic
114C22×#3622C2311yescharacteristic
115C22×#3622C2311yescharacteristic
116C22×#3622C2311yescharacteristic
117C4×Dic34—22no—
118C4×Dic34—41no—
119C17×#95—21no—
120C17×#95—21no—
121C17×#95—21no—
122C17×#95—21no—
123C17×#95—21no—
124C17×#95D411yescharacteristic
125C17×#95D411yescharacteristic
126#10587506—22no—
127#10587506—22no—
128#10587506C2×C414yescomplemented
129#10587503—22no—
130#10587503C2×C414yes—
131#10587503D414yes—
132#10587502—21no—
133#10587502—21no—
134#10587502—21no—
135#10587502—21no—
136C22⋊#3622C2×C414yescomplemented
137#10587481—22no—
138#10587481—41no—
139#10587479—41no—
140#10587478—22no—
141#10587474—22no—
142#10587474—41no—
143C24×C17—21no—
144C24×C17C2×D411yescharacteristic
145#41×C17—28no—
146#41×C17—44no—
147#41×C17—44no—
148#41×C17—44no—
149C2×Q8×C17—21no—
150C2×Q8×C17—21no—
151C2×Q8×C17—21no—
152C2×Q8×C17—21no—
153C2×Q8×C17—21no—
154C2×Q8×C17C22×C412yes—
155C2×D4×C17—24no—
156C2×D4×C17—21no—
157C2×D4×C17—21no—
158C2×D4×C17—21no—
159C2×D4×C17—42no—
160C2×D4×C17—42no—
161C2×D4×C17C22×C412yes—
162C2×D4×C17C2×D412yes—
163C2×D4×C17#4112yes—
164C22×C4×C17—21no—
165C22×C4×C17—21no—
166C22×C4×C17—21no—
167C22×C4×C17—21no—
168C22×C4×C17—21no—
169C22×C4×C17—24no—
170C22×C4×C17—21no—
171C22×C4×C17—21no—
172C22×C4×C17—42no—
173C22×C4×C17—42no—
174C22×C4×C17—42no—
175C22×C4×C17—42no—
176C22×C4×C17—42no—
177C22×C4×C17—42no—
178C22×C4×C17—81no—
179C22×C4×C17—81no—
180C22×C4×C17C22×C412yes—
181C22×C4×C17C2×D411yescharacteristic
182C22×C4×C17C2×D411yescharacteristic
183C22×C4×C17C2×D411yescharacteristic
184C22×C4×C17C2×D411yescharacteristic
185C22×C4×C17C2×D411yescharacteristic
186C22×C4×C17#4112yes—
187C22×C4×C17C2411yescharacteristic
188C22×Dic17—21no—
189C22×Dic17—21no—
190C22×Dic17—21no—
191C22×Dic17—21no—
192C2×Dic34—21no—
193C2×Dic34—21no—
194C2×Dic34—21no—
195C2×Dic34—21no—
196C2×Dic34—21no—
197C2×Dic34C22×C412yes—
198C4⋊C4×C17—21no—
199C4⋊C4×C17—21no—
200C4⋊C4×C17—21no—
201C4⋊C4×C17—21no—
202C22⋊C4×C17—41no—
203C22⋊C4×C17—41no—
204C22⋊C4×C17—42no—
205C22⋊C4×C17—42no—
206C22⋊C4×C17—81no—
207C42×C17—21no—
208C42×C17—21no—
209C42×C17—21no—
210C42×C17—21no—
211C22⋊Dic17—24no—
212C22⋊Dic17—42no—
213#63231—44no—
214#63229—28no—
215C4⋊Dic17—21no—
216C4⋊Dic17—21no—
217C4⋊Dic17—21no—
218C4⋊Dic17—21no—
219C4⋊Dic17C22×C412yes—
220C4⋊Dic17C2×D412yes—
221#63225—24no—
222#63225—42no—
223#63225—42no—
224C4×Dic17—42no—
225C4×Dic17—42no—
226C4×Dic17—42no—
227C2×#3622—21no—
228C2×#3622—21no—
229C2×#3622—21no—
230C2×#3622—21no—
231C2×#3622—21no—
232C2×#3622—21no—
233C2×#3622—21no—
234C2×#3622—21no—
235C2×#3622—21no—
236C2×#3622—44no—
237C2×#3622C22×C412yes—
238C2×#3622C22×C412yes—
239C2×#3622C2×D412yes—
240#22856—171nomaximal, Sylow
241C23×C17—22no—
242C23×C17—21no—
243C23×C17—22no—
244C23×C17—22no—
245C23×C17—21no—
246C23×C17—21no—
247C23×C17—21no—
248C23×C17—21no—
249C23×C17—21no—
250C23×C17—41no—
251C23×C17—41no—
252C23×C17—41no—
253C23×C17—41no—
254C23×C17C4×D412yes—
255C23×C17C22×D411yescharacteristic
256Q8×C17—22no—
257Q8×C17—22no—
258Q8×C17—41no—
259Q8×C17—41no—
260D4×C17—22no—
261D4×C17—22no—
262D4×C17—22no—
263D4×C17—48no—
264D4×C17C4×D414yes—
265C2×C4×C17—21no—
266C2×C4×C17—21no—
267C2×C4×C17—22no—
268C2×C4×C17—22no—
269C2×C4×C17—22no—
270C2×C4×C17—22no—
271C2×C4×C17—22no—
272C2×C4×C17—21no—
273C2×C4×C17—21no—
274C2×C4×C17—21no—
275C2×C4×C17—21no—
276C2×C4×C17—21no—
277C2×C4×C17—21no—
278C2×C4×C17—21no—
279C2×C4×C17—21no—
280C2×C4×C17—21no—
281C2×C4×C17—21no—
282C2×C4×C17—21no—
283C2×C4×C17—21no—
284C2×C4×C17—48no—
285C2×C4×C17—41no—
286C2×C4×C17—41no—
287C2×C4×C17—41no—
288C2×C4×C17—41no—
289C2×C4×C17—41no—
290C2×C4×C17—41no—
291C2×C4×C17—41no—
292C2×C4×C17—41no—
293C2×C4×C17—84no—
294C2×C4×C17—84no—
295C2×C4×C17C4×D412yes—
296C2×C4×C17C23×C411yescharacteristic
297C2×C4×C17C22×D411yescharacteristic
298C2×C4×C17C2×#4111yescharacteristic
299C2×C4×C17C2×#4111yescharacteristic
300C2×C4×C17H(5,𝔽2)11yescharacteristic
301C2×C4×C17H(5,𝔽2)11yescharacteristic
302C2×Dic17—22no—
303C2×Dic17—22no—
304C2×Dic17—22no—
305C2×Dic17—41no—
306C2×Dic17—41no—
307C2×Dic17—41no—
308C2×Dic17—41no—
309C2×Dic17—41no—
310C2×Dic17—41no—
311C2×Dic17—41no—
312C2×Dic17—41no—
313C2×Dic17—41no—
314Dic34—22no—
315Dic34—22no—
316Dic34—41no—
317Dic34—41no—
318#3622—22no—
319#3622—22no—
320#3622—22no—
321#3622—41no—
322C2×#452—171no—
323C2×#440—171no—
324C2×#416—171no—
325#2362—171no—
326#2339D1711yescharacteristic
327#1971—171no—
328#1935—171no—
329#1928—171no—
330#1892—171no—
331#1878—171no—
332#1877—171no—
333#1864—171no—
334#1854—171no—
335#1762—171no—
336#1752—171no—
337C22×C17—22no—
338C22×C17—24no—
339C22×C17—22no—
340C22×C17—22no—
341C22×C17—42no—
342C22×C17—42no—
343C22×C17—42no—
344C22×C17—41no—
345C22×C17—41no—
346C22×C17—42no—
347C22×C17—42no—
348C22×C17—41no—
349C22×C17—41no—
350C22×C17—42no—
351C22×C17C2×C4×D411yescharacteristic
352C22×C17D4211yescharacteristic
353C22×C17#54611yescharacteristic
354C22×C17#57511yescharacteristic
355C22×C17#57511yescharacteristic
356C22×C17#57711yescharacteristic
357C22×C17#57811yescharacteristic
358C4×C17—22no—
359C4×C17—42no—
360C4×C17—41no—
361C4×C17—41no—
362C4×C17—41no—
363C4×C17—41no—
364C4×C17—81no—
365C4×C17—81no—
366C4×C17C2×C4×D411yescharacteristic
367C4×C17#51811yescharacteristic
368C4×C17#54611yescharacteristic
369C4×C17#55111yescharacteristic
370Dic17—42no—
371Dic17—42no—
372Dic17—42no—
373Dic17—81no—
374C22×#41C2×D1711yescharacteristic
375C22×Q16—171no—
376C22×SD16—171no—
377C23×C8—171no—
378C2×C22⋊Q8—171no—
379C2×C4×Q8—171no—
380C2×C4×D4C2×D1711yescharacteristic
381C2×C4×D4C2×D1711yescharacteristic
382C2×#117—171no—
383#452—178no—
384#440—344no—
385C2×#107—171no—
386C2×#106—171no—
387#416—344no—
388C2×#103—171no—
389C2×#103—171no—
390C2×#103—171no—
391C2×#103—171no—
392C2×#103—171no—
393C2×#102—171no—
394C2×#102—171no—
395C2×#102—171no—
396C2×C22⋊C8—171no—
397C2×#97—171no—
398C2×#97—171no—
399#391—171no—
400#391C2×D1711yescharacteristic
401#391C2×D1711yescharacteristic
402#389—171no—
403#388—341no—
404#388—341no—
405#387—341no—
406#386—21no—
407#386—21no—
408#381—21no—
409#380C2×D1711yescharacteristic
410C4×C4⋊C4—171no—
411C4×C4⋊C4—341no—
412C4×C22⋊C4C2×D1711yescharacteristic
413C2×#95—21no—
414#340—171no—
415#340—171no—
416#340—171no—
417#340—171no—
418#336—171no—
419#336—171no—
420C2×C17—42no—
421C2×C17—44no—
422C2×C17#235811yescharacteristic
423C2×C17#294311yescharacteristic
424C2×C17#294711yescharacteristic
425C2×C17#326711yescharacteristic
426C2×C17#326911yescharacteristic
427C2×C17#331111yescharacteristic
428C2×C17#331511yescharacteristic
429C2×#41—22no—
430C2×#41—22no—
431C2×#41—22no—
432C2×#41—41no—
433C2×#41—41no—
434C2×#41C4×D1714yes—
435C22×Q8—171no—
436C22×Q8C22×D1711yescharacteristic
437C22×D4—21no—
438C22×D4C22×D1711yescharacteristic
439C23×C4—21no—
440C23×C4—21no—
441C23×C4—21no—
442C23×C4C22×D1711yescharacteristic
443C2×Q16—174no—
444C2×Q16—681no—
445C2×Q16—681no—
446C2×SD16—174no—
447C2×SD16—342no—
448C2×SD16—342no—
449C22×C8—171no—
450C22×C8—171no—
451C22×C8—171no—
452C22×C8—171no—
453C22×C8—342no—
454C22×C8—342no—
455C22×C8—681no—
456C22⋊Q8—174no—
457C22⋊Q8—342no—
458C4×Q8—342no—
459C4×Q8—681no—
460C4×D4—22no—
461C4×D4—22no—
462C4×D4—41no—
463C4×D4—41no—
464#117—342no—
465#117—681no—
466C2×C4⋊C4—171no—
467C2×C4⋊C4—171no—
468C2×C4⋊C4—171no—
469C2×C4⋊C4—341no—
470C2×C4⋊C4—341no—
471C2×C4⋊C4—341no—
472C2×C4⋊C4C22×D1711yescharacteristic
473C2×C4⋊C4C22×D1711yescharacteristic
474C2×C22⋊C4—21no—
475C2×C22⋊C4—21no—
476C2×C22⋊C4—21no—
477C2×C22⋊C4—341no—
478C2×C22⋊C4—341no—
479C2×C22⋊C4C22⋊D1711yescharacteristic
480C2×C22⋊C4C22⋊D1711yescharacteristic
481C2×C42—341no—
482C2×C42—341no—
483C2×C42—341no—
484C2×C42C22×D1711yescharacteristic
485C2×C42C22×D1711yescharacteristic
486#107—342no—
487#106—681no—
488#103—174no—
489#103—342no—
490#103—342no—
491#103—342no—
492#103—681no—
493#102—174no—
494#102—174no—
495#102—342no—
496C22⋊C8—174no—
497#97—342no—
498#97—681no—
499#95—21no—
500#95—21no—
501#95—21no—
502#95—21no—
503#95—21no—
504#95—341no—
505#95—341no—
506#95—341no—
507#95—341no—
508#95C22⋊D1711yescharacteristic
509#95C22⋊D1711yescharacteristic
510C17#2285611yescharacteristic, complemented, Sylow
511C24—21no—
512C24C2×C22⋊D1711yescharacteristic
513#41—28no—
514#41—44no—
515#41—44no—
516#41—44no—
517C2×Q8—21no—
518C2×Q8—21no—
519C2×Q8—21no—
520C2×Q8—21no—
521C2×Q8—21no—
522C2×Q8—172no—
523C2×Q8—341no—
524C2×Q8—341no—
525C2×Q8—341no—
526C2×Q8—341no—
527C2×Q8—341no—
528C2×Q8C2×C4×D1712yes—
529C2×D4—24no—
530C2×D4—21no—
531C2×D4—21no—
532C2×D4—21no—
533C2×D4—42no—
534C2×D4—42no—
535C2×D4C2×C4×D1712yes—
536C2×D4D4×D1712yes—
537C2×D4#6325412yes—
538C22×C4—21no—
539C22×C4—21no—
540C22×C4—21no—
541C22×C4—21no—
542C22×C4—21no—
543C22×C4—24no—
544C22×C4—21no—
545C22×C4—21no—
546C22×C4—42no—
547C22×C4—42no—
548C22×C4—42no—
549C22×C4—42no—
550C22×C4—42no—
551C22×C4—42no—
552C22×C4—81no—
553C22×C4—81no—
554C22×C4—341no—
555C22×C4—341no—
556C22×C4—341no—
557C22×C4—341no—
558C22×C4C2×C4×D1712yes—
559C22×C4#6325212yes—
560C22×C4C2×C22⋊D1711yescharacteristic
561C22×C4C2×C22⋊D1711yescharacteristic
562C22×C4C2×C22⋊D1711yescharacteristic
563C22×C4C2×C22⋊D1711yescharacteristic
564C22×C4C2×C22⋊D1711yescharacteristic
565C22×C4C23×D1711yescharacteristic
566Q16—684no—
567SD16—348no—
568C2×C8—172no—
569C2×C8—172no—
570C2×C8—172no—
571C2×C8—341no—
572C2×C8—341no—
573C2×C8—341no—
574C2×C8—341no—
575C2×C8—341no—
576C2×C8—341no—
577C2×C8—341no—
578C2×C8—341no—
579C2×C8—341no—
580C2×C8—684no—
581C4⋊C4—21no—
582C4⋊C4—21no—
583C4⋊C4—21no—
584C4⋊C4—21no—
585C4⋊C4—172no—
586C4⋊C4—172no—
587C4⋊C4—341no—
588C4⋊C4—341no—
589C4⋊C4—344no—
590C4⋊C4—341no—
591C4⋊C4—341no—
592C4⋊C4—682no—
593C4⋊C4—682no—
594C22⋊C4—41no—
595C22⋊C4—41no—
596C22⋊C4—42no—
597C22⋊C4—42no—
598C22⋊C4—81no—
599C22⋊C4—344no—
600C22⋊C4—682no—
601C42—21no—
602C42—21no—
603C42—21no—
604C42—21no—
605C42—682no—
606C42—682no—
607C42—682no—
608C23—22no—
609C23—21no—
610C23—21no—
611C23—21no—
612C23—21no—
613C23—22no—
614C23—21no—
615C23—22no—
616C23—21no—
617C23—41no—
618C23—41no—
619C23—41no—
620C23—41no—
621C23C4×C22⋊D1712yes—
622C23C22×C22⋊D1711yescharacteristic
623Q8—22no—
624Q8—22no—
625Q8—41no—
626Q8—41no—
627Q8—342no—
628Q8—342no—
629Q8—681no—
630Q8—681no—
631D4—22no—
632D4—22no—
633D4—22no—
634D4—48no—
635D4#1058756714yes—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—22no—
643C2×C4—21no—
644C2×C4—21no—
645C2×C4—21no—
646C2×C4—21no—
647C2×C4—21no—
648C2×C4—21no—
649C2×C4—21no—
650C2×C4—21no—
651C2×C4—21no—
652C2×C4—21no—
653C2×C4—21no—
654C2×C4—21no—
655C2×C4—48no—
656C2×C4—41no—
657C2×C4—41no—
658C2×C4—41no—
659C2×C4—41no—
660C2×C4—41no—
661C2×C4—41no—
662C2×C4—41no—
663C2×C4—41no—
664C2×C4—84no—
665C2×C4—84no—
666C2×C4—342no—
667C2×C4—342no—
668C2×C4—342no—
669C2×C4—681no—
670C2×C4—681no—
671C2×C4—681no—
672C2×C4—681no—
673C2×C4—681no—
674C2×C4—681no—
675C2×C4—681no—
676C2×C4—681no—
677C2×C4—681no—
678C2×C4C4×C22⋊D1712yes—
679C2×C4C22×C4×D1711yescharacteristic
680C2×C4C2×#6325211yescharacteristic
681C2×C4C2×D4×D1711yescharacteristic
682C2×C4C2×#6325411yescharacteristic
683C2×C4#1058769111yescharacteristic
684C2×C4#1058769111yescharacteristic
685C8—342no—
686C8—342no—
687C8—342no—
688C8—681no—
689C22—22no—
690C22—22no—
691C22—22no—
692C22—24no—
693C22—42no—
694C22—41no—
695C22—42no—
696C22—41no—
697C22—41no—
698C22—42no—
699C22—41no—
700C22—42no—
701C22—42no—
702C22—42no—
703C22C2×C4×C22⋊D1711yescharacteristic
704C22D4×C22⋊D1711yescharacteristic
705C22#1176345311yescharacteristic
706C22#1176360711yescharacteristic
707C22#1176360711yescharacteristic
708C22#1176362011yescharacteristic
709C22#1176362411yescharacteristic
710C4—22no—
711C4—41no—
712C4—41no—
713C4—41no—
714C4—41no—
715C4—42no—
716C4—81no—
717C4—81no—
718C4—682no—
719C4—682no—
720C4—682no—
721C4—1361no—
722C4C2×#1058756711yescharacteristic
723C4#1176328211yescharacteristic
724C4#1176344911yescharacteristic
725C4#1176348511yescharacteristic
726C2—42no—
727C2—44no—
728C2#1453176311yescharacteristic
729C2#1453758211yescharacteristic
730C2#1453762311yescharacteristic
731C2#1454030511yescharacteristic
732C2#1454033511yescharacteristic
733C2#1454082011yescharacteristic
734C2#1454088011yescharacteristic
subgroupG/H
centerC23C22×C22⋊D17
commutatorC2×C4×C17C23×C4
FrattiniC22×C4C23×D17
FittingC17×#2339C2
socleC23×C17C22×D4
prime radicalC22×#41×C17C22
cosocleC22×C4×C17C24
hypercenter#2339D17
hypocenterC17#22856
LCSG ▷ C2×C4×C17 ▷ C2×C17 ▷ C17
UCSC1 ◁ C23 ◁ C4×C22⋊C4 ◁ #2339

Complements

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

NH ≅ G/Ntype
2. C2×#11762909C2semidirect
4. #14531809C2semidirect
5. #14529654C2semidirect
6. #14529477C2semidirect
7. #14529422C2semidirect
8. #14529205C2semidirect
9. #14529128C2semidirect
10. #14529118C2semidirect
11. #14529045C2semidirect
12. #14528981C2semidirect
13. #14528609C2semidirect
14. #14528562C2semidirect
22. #11762971C4semidirect
93. C2×#63231C2×C4semidirect
103. #10587610C2×C4semidirect
128. #10587506C2×C4semidirect
136. C22⋊#3622C2×C4semidirect
510. C17#22856semidirect

Maximal subgroups

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

subgroupindex
C2×#117629712
C2×#117629092
C2×#117628052
#145318092
#145296542
#145294772
#145294222
#145292052
#145291282
#145291182
#145290452
#145289812
#145286092
#145285622
C17×#23392
#2285617