Finite Group Databasebeta

← #17040905

Subgroups — #17040905

Order 4352.

1098 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11763040C211yesmaximal, characteristic
2C2×#11762907C211yesmaximal, characteristic, complemented
3C22×#10587474C211yesmaximal, characteristic, complemented
4C4×#10587616C211yesmaximal, characteristic
5#14529668C211yesmaximal, characteristic, complemented
6#14529524C211yesmaximal, characteristic, complemented
7#14529480C211yesmaximal, characteristic, complemented
8#14529477C211yesmaximal, characteristic, complemented
9#14529210C211yesmaximal, characteristic
10#14529208C211yesmaximal, characteristic, complemented
11#14528811C211yesmaximal, characteristic, complemented
12#14528682C211yesmaximal, characteristic, complemented
13#14528614C211yesmaximal, characteristic, complemented
14#14528612C211yesmaximal, characteristic, complemented
15C4×C17×C22⋊Q8C211yesmaximal, characteristic, complemented
16C22×#63230C2211yescharacteristic
17C23×#3622C2211yescharacteristic
18C23×#3622C2211yescharacteristic
19C2×#10587616C2211yescharacteristic
20C2×C4×D68C2211yescharacteristic
21C2×C4×C22⋊D17—21no—
22#11763040C418yescomplemented
23#11762907—24no—
24C2×#10587478C2211yescharacteristic
25C2×#10587478C2211yescharacteristic
26C2×#10587479C2211yescharacteristic
27C2×#10587506C2211yescharacteristic
28C2×#10587506C2211yescharacteristic
29C2×#10587506C2211yescharacteristic
30C2×#10587480C2211yescharacteristic
31C2×#10587480C2211yescharacteristic
32C2×#10587480C2211yescharacteristic
33C2×#10587474—24no—
34C2×#10587474C2211yescharacteristic
35C2×#10587474C2211yescharacteristic
36C2×#10587474C2211yescharacteristic
37C2×#10587474C2211yescharacteristic
38#11762711C2211yescharacteristic
39#11762707C2211yescharacteristic
40#11762700—21no—
41#11762688—21no—
42#11762669C2211yescharacteristic
43C4×C4⋊Dic17C2211yescharacteristic
44C4×#63227—21no—
45#11762571C2211yescharacteristic
46#11762571C2211yescharacteristic
47#11762571C2211yescharacteristic
48#11762571C2211yescharacteristic
49#11762571C2211yescharacteristic
50#11762571C2211yescharacteristic
51C2×C17×C22⋊Q8C2211yescharacteristic
52C2×C4×Q8×C17C2211yescharacteristic
53C22×C42×C17C2211yescharacteristic
54C17×#391C2211yescharacteristic
55C17×#389C2211yescharacteristic
56C17×#387—21no—
57C17×#385—21no—
58C17×#380C2211yescharacteristic
59C4×C4⋊C4×C17—21no—
60C4×C4⋊C4×C17C2211yescharacteristic
61C4×C22⋊C4×C17—21no—
62C22×Q8×C17C2311yescharacteristic
63C23×C4×C17D411yescharacteristic
64C23×C4×C17D411yescharacteristic
65C23×C4×C17C2311yescharacteristic
66C22×C22⋊D17—21no—
67C22×D68C2311yescharacteristic
68C22×C4×D17—21no—
69C17×C22⋊Q8—22no—
70C17×C22⋊Q8C2×C414yescomplemented
71C4×Q8×C17—22no—
72C4×Q8×C17—22no—
73C2×C4⋊C4×C17—21no—
74C2×C4⋊C4×C17—21no—
75C2×C4⋊C4×C17—21no—
76C2×C4⋊C4×C17C2311yescharacteristic
77C2×C4⋊C4×C17C2311yescharacteristic
78C2×C4⋊C4×C17C2311yescharacteristic
79C2×C22⋊C4×C17—21no—
80C2×C22⋊C4×C17—21no—
81C2×C42×C17—22no—
82C2×C42×C17—22no—
83C2×C42×C17—21no—
84C2×C42×C17—21no—
85C2×C42×C17D411yescharacteristic
86C2×C42×C17D411yescharacteristic
87C2×C42×C17C2311yescharacteristic
88C2×C42×C17C2311yescharacteristic
89C2×C22⋊Dic17—21no—
90C2×#63230—22no—
91C2×#63230—22no—
92C2×#63230C2×C414yescomplemented
93#10587616—22no—
94#10587616C2×C414yes—
95C4×C22⋊D17—44no—
96C2×#63227—21no—
97C2×#63227—21no—
98C2×#63227—21no—
99C2×#63227—21no—
100C2×C4⋊Dic17C2311yescharacteristic
101C2×C4⋊Dic17C2311yescharacteristic
102C2×C4⋊Dic17C2311yescharacteristic
103C2×#63225—21no—
104C2×C4×Dic17—21no—
105C22×#3622—22no—
106C22×#3622—22no—
107C22×#3622—22no—
108C22×#3622—22no—
109C22×#3622—22no—
110C22×#3622C2×C414yescomplemented
111C22×#3622C2311yescharacteristic
112C22×#3622C2311yescharacteristic
113C22×#3622C2311yescharacteristic
114C22×#3622C2311yescharacteristic
115C4×D68—22no—
116C4×D68—22no—
117C17×#95—21no—
118C17×#95—21no—
119C17×#95—21no—
120C17×#95—21no—
121C17×#95—21no—
122#10587506—22no—
123#10587506—22no—
124#10587506C2×C414yescomplemented
125#10587502—21no—
126#10587502—21no—
127#10587502—21no—
128#10587480—22no—
129#10587480—22no—
130#10587480C2×C414yescomplemented
131#10587479C2×C414yescomplemented
132#10587478—22no—
133#10587478—22no—
134#10587474—22no—
135#10587474—22no—
136#10587474—22no—
137#10587474D414yescomplemented
138C24×C17C2×D411yescharacteristic
139C23×D17—21no—
140C2×Q8×C17—21no—
141C2×Q8×C17—21no—
142C2×Q8×C17—21no—
143C2×Q8×C17—21no—
144C2×Q8×C17—21no—
145C2×Q8×C17C22×C412yes—
146C22×C4×C17—21no—
147C22×C4×C17—21no—
148C22×C4×C17—21no—
149C22×C4×C17—21no—
150C22×C4×C17—22no—
151C22×C4×C17—22no—
152C22×C4×C17—21no—
153C22×C4×C17—21no—
154C22×C4×C17—22no—
155C22×C4×C17—22no—
156C22×C4×C17—21no—
157C22×C4×C17—21no—
158C22×C4×C17—41no—
159C22×C4×C17—41no—
160C22×C4×C17C22×C412yes—
161C22×C4×C17C2×D411yescharacteristic
162C22×C4×C17C2×D411yescharacteristic
163C22×C4×C17C2×D411yescharacteristic
164C22×C4×C17C2×D411yescharacteristic
165C22×C4×C17C2×D411yescharacteristic
166C22×C4×C17#4112yes—
167C22×C4×C17C2411yescharacteristic
168C2×C22⋊D17—24no—
169C2×C22⋊D17—42no—
170C2×C22⋊D17—42no—
171C22×Dic17—21no—
172C22×Dic17—21no—
173C22×Dic17—21no—
174C2×D68—21no—
175C2×D68—21no—
176C2×D68—21no—
177C2×D68—21no—
178C2×D68—21no—
179C2×D68C22×C412yes—
180C2×C4×D17—42no—
181C2×C4×D17—42no—
182C2×C4×D17—42no—
183C4⋊C4×C17—24no—
184C4⋊C4×C17—21no—
185C4⋊C4×C17—21no—
186C4⋊C4×C17—21no—
187C4⋊C4×C17—21no—
188C4⋊C4×C17—21no—
189C4⋊C4×C17—42no—
190C4⋊C4×C17—42no—
191C4⋊C4×C17C22×C412yes—
192C22⋊C4×C17—24no—
193C22⋊C4×C17—42no—
194C42×C17—22no—
195C42×C17—22no—
196C42×C17—21no—
197C42×C17—21no—
198C42×C17—42no—
199C42×C17—42no—
200C42×C17C2×D412yes—
201C42×C17#4112yes—
202C22⋊Dic17—42no—
203#63230—28no—
204#63227—24no—
205#63227—42no—
206#63227—42no—
207#63227—42no—
208C4⋊Dic17—21no—
209C4⋊Dic17—21no—
210C4⋊Dic17—21no—
211C4⋊Dic17—21no—
212C4⋊Dic17—21no—
213C4⋊Dic17C22×C412yes—
214#63225—42no—
215C4×Dic17—42no—
216C2×#3622—28no—
217C2×#3622—21no—
218C2×#3622—21no—
219C2×#3622—21no—
220C2×#3622—21no—
221C2×#3622—21no—
222C2×#3622—21no—
223C2×#3622—28no—
224C2×#3622C22×C412yes—
225C2×#3622C22×C412yes—
226C2×#3622C2×D412yes—
227C2×#3622C2×D412yes—
228C2×#3622#4112yes—
229C2×#3622#4112yes—
230#21528—171nomaximal, Sylow
231C23×C17—21no—
232C23×C17—21no—
233C23×C17—21no—
234C23×C17—21no—
235C23×C17C4×D412yes—
236C23×C17AGL(1,ℤ/8)12yes—
237C23×C17#13712yes—
238C23×C17C22×D411yescharacteristic
239C22×D17—22no—
240C22×D17—41no—
241C22×D17—41no—
242C22×D17—41no—
243C22×D17—41no—
244C22×D17—41no—
245C22×D17—41no—
246Q8×C17—22no—
247Q8×C17—22no—
248Q8×C17—41no—
249Q8×C17—41no—
250C2×C4×C17—21no—
251C2×C4×C17—21no—
252C2×C4×C17—21no—
253C2×C4×C17—21no—
254C2×C4×C17—21no—
255C2×C4×C17—21no—
256C2×C4×C17—22no—
257C2×C4×C17—22no—
258C2×C4×C17—22no—
259C2×C4×C17—22no—
260C2×C4×C17—22no—
261C2×C4×C17—22no—
262C2×C4×C17—21no—
263C2×C4×C17—21no—
264C2×C4×C17—21no—
265C2×C4×C17—21no—
266C2×C4×C17—21no—
267C2×C4×C17—21no—
268C2×C4×C17—44no—
269C2×C4×C17—44no—
270C2×C4×C17—41no—
271C2×C4×C17—41no—
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×C17—41no—
279C2×C4×C17—41no—
280C2×C4×C17C4×D412yes—
281C2×C4×C17#12112yes—
282C2×C4×C17#12112yes—
283C2×C4×C17C23×C411yescharacteristic
284C2×C4×C17C22×D411yescharacteristic
285C2×C4×C17C2×#4111yescharacteristic
286C2×C4×C17C2×#4111yescharacteristic
287C2×C4×C17C2×#4111yescharacteristic
288C2×C4×C17C2×#4111yescharacteristic
289C22⋊D17—48no—
290C2×Dic17—22no—
291C2×Dic17—41no—
292C2×Dic17—41no—
293C2×Dic17—41no—
294C2×Dic17—41no—
295C2×Dic17—41no—
296C2×Dic17—41no—
297C2×Dic17—41no—
298C2×Dic17—41no—
299D68—22no—
300D68—22no—
301D68—41no—
302D68—41no—
303C4×D17—84no—
304#3622—22no—
305#3622—22no—
306#3622—22no—
307#3622C4×D414yescomplemented
308C2×#465—171no—
309C2×#440—171no—
310C22×#97—171no—
311C4×C22⋊Q8D1711yescharacteristic, complemented
312C4×#121—171no—
313#1973—171no—
314#1944—171no—
315#1936—171no—
316#1935—171no—
317#1893—171no—
318#1892—171no—
319#1808—171no—
320#1776—171no—
321#1763—171no—
322#1762—171no—
323C22×C17—22no—
324C22×C17—22no—
325C22×C17—22no—
326C22×C17—22no—
327C22×C17—22no—
328C22×C17—22no—
329C22×C17#44014yescomplemented
330C22×C17C2×C4×D411yescharacteristic
331C22×C17C2×#12111yescharacteristic
332C22×C17#53211yescharacteristic
333C22×C17C2×AGL(1,ℤ/8)11yescharacteristic
334C22×C17C2×#13711yescharacteristic
335C22×C17#57511yescharacteristic
336C22×C17#57511yescharacteristic
337C2×D17—42no—
338C2×D17—42no—
339C2×D17—42no—
340C2×D17—81no—
341C2×D17—81no—
342C2×D17—81no—
343C2×D17—81no—
344C4×C17—22no—
345C4×C17—22no—
346C4×C17—22no—
347C4×C17—42no—
348C4×C17—41no—
349C4×C17—41no—
350C4×C17—42no—
351C4×C17—81no—
352C4×C17—81no—
353C4×C17C2×C4×D411yescharacteristic
354C4×C17C4×#4111yescharacteristic
355C4×C17#52511yescharacteristic
356C4×C17#52911yescharacteristic
357Dic17—42no—
358Dic17—81no—
359Dic17—81no—
360C22×SD16—171no—
361C23×C8—171no—
362C23×C8—171no—
363C2×C22⋊Q8C2×D1711yescharacteristic
364C2×#121—171no—
365C2×C4×Q8C2×D1711yescharacteristic
366C2×C4×D4—171no—
367C2×C4×D4—341no—
368C22×C42C2×D1711yescharacteristic
369#465—178no—
370#440—344no—
371C2×#107—171no—
372C2×#107—171no—
373C2×#106—171no—
374C2×#103—171no—
375C2×#103—171no—
376C2×#103—171no—
377C2×#102—171no—
378C2×#102—171no—
379C2×#102—171no—
380C2×#97—171no—
381C2×#97—171no—
382C2×#97—171no—
383C2×#97—171no—
384C2×#97—344no—
385#391C2×D1711yescharacteristic
386#390—171no—
387#389—171no—
388#389C2×D1711yescharacteristic
389#388—341no—
390#387—21no—
391#386—341no—
392#385—21no—
393#380—171no—
394#380C2×D1711yescharacteristic
395C4×C4⋊C4—21no—
396C4×C4⋊C4—171no—
397C4×C4⋊C4C2×D1711yescharacteristic
398C4×C22⋊C4—21no—
399C4×C22⋊C4—341no—
400#340—171no—
401#340—171no—
402#340—171no—
403#340—171no—
404#340—171no—
405#340—171no—
406C2×C17—24no—
407C2×C17C4×#12111yescharacteristic
408C2×C17C2×#44011yescharacteristic
409C2×C17#294311yescharacteristic
410C2×C17#305511yescharacteristic
411C2×C17#305611yescharacteristic
412C2×C17#318011yescharacteristic
413C2×C17#318111yescharacteristic
414D17—82no—
415C22×Q8C22×D1711yescharacteristic
416C22×D4—171no—
417C22×D4—341no—
418C23×C4—341no—
419C23×C4C22⋊D1711yescharacteristic
420C23×C4C22⋊D1711yescharacteristic
421C23×C4C22×D1711yescharacteristic
422C2×SD16—174no—
423C2×SD16—342no—
424C2×SD16—342no—
425C22×C8—171no—
426C22×C8—174no—
427C22×C8—171no—
428C22×C8—171no—
429C22×C8—171no—
430C22×C8—342no—
431C22×C8—342no—
432C22×C8—342no—
433C22×C8—342no—
434C22×C8—342no—
435C22⋊Q8—22no—
436C22⋊Q8C4×D1714yescomplemented
437#121—174no—
438#121—342no—
439C4×Q8—22no—
440C4×Q8—22no—
441C4×D4—342no—
442C4×D4—342no—
443C4×D4—684no—
444C2×C4⋊C4—21no—
445C2×C4⋊C4—21no—
446C2×C4⋊C4—21no—
447C2×C4⋊C4—171no—
448C2×C4⋊C4—171no—
449C2×C4⋊C4—171no—
450C2×C4⋊C4—341no—
451C2×C4⋊C4C22×D1711yescharacteristic
452C2×C4⋊C4C22×D1711yescharacteristic
453C2×C4⋊C4C22×D1711yescharacteristic
454C2×C22⋊C4—21no—
455C2×C22⋊C4—21no—
456C2×C22⋊C4—341no—
457C2×C22⋊C4—341no—
458C2×C22⋊C4—341no—
459C2×C22⋊C4—341no—
460C2×C22⋊C4—341no—
461C2×C42—22no—
462C2×C42—22no—
463C2×C42—21no—
464C2×C42—21no—
465C2×C42—341no—
466C2×C42C22⋊D1711yescharacteristic
467C2×C42C22⋊D1711yescharacteristic
468C2×C42C22×D1711yescharacteristic
469C2×C42C22×D1711yescharacteristic
470#107—342no—
471#107—342no—
472#106—174no—
473#103—174no—
474#103—342no—
475#103—342no—
476#102—174no—
477#102—342no—
478#102—342no—
479#97—174no—
480#97—342no—
481#97—342no—
482#97—342no—
483#95—21no—
484#95—21no—
485#95—21no—
486#95—21no—
487#95—21no—
488#95—341no—
489#95—341no—
490#95—341no—
491C17#2152811yescharacteristic, complemented, Sylow
492C24—341no—
493C24C2×C22⋊D1711yescharacteristic
494C2×Q8—21no—
495C2×Q8—21no—
496C2×Q8—21no—
497C2×Q8—21no—
498C2×Q8—21no—
499C2×Q8C2×C4×D1712yes—
500C2×D4—172no—
501C2×D4—344no—
502C2×D4—341no—
503C2×D4—341no—
504C2×D4—341no—
505C2×D4—341no—
506C2×D4—341no—
507C2×D4—682no—
508C2×D4—682no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—22no—
516C22×C4—22no—
517C22×C4—22no—
518C22×C4—22no—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—41no—
522C22×C4—41no—
523C22×C4—341no—
524C22×C4—341no—
525C22×C4—341no—
526C22×C4—682no—
527C22×C4—682no—
528C22×C4—682no—
529C22×C4C2×C4×D1712yes—
530C22×C4#6325212yes—
531C22×C4C2×C22⋊D1711yescharacteristic
532C22×C4C2×C22⋊D1711yescharacteristic
533C22×C4C2×C22⋊D1711yescharacteristic
534C22×C4C2×C22⋊D1711yescharacteristic
535C22×C4C2×C22⋊D1711yescharacteristic
536C22×C4C23×D1711yescharacteristic
537SD16—348no—
538C2×C8—172no—
539C2×C8—172no—
540C2×C8—172no—
541C2×C8—172no—
542C2×C8—172no—
543C2×C8—172no—
544C2×C8—348no—
545C2×C8—348no—
546C2×C8—341no—
547C2×C8—341no—
548C2×C8—341no—
549C2×C8—341no—
550C2×C8—341no—
551C2×C8—341no—
552C4⋊C4—21no—
553C4⋊C4—24no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—21no—
557C4⋊C4—21no—
558C4⋊C4—42no—
559C4⋊C4—42no—
560C4⋊C4—172no—
561C4⋊C4—341no—
562C4⋊C4—341no—
563C4⋊C4—341no—
564C4⋊C4—341no—
565C4⋊C4—341no—
566C4⋊C4—682no—
567C4⋊C4C2×C4×D1712yes—
568C22⋊C4—24no—
569C22⋊C4—42no—
570C22⋊C4—344no—
571C22⋊C4—682no—
572C22⋊C4—682no—
573C22⋊C4—682no—
574C22⋊C4—682no—
575C42—21no—
576C42—21no—
577C42—22no—
578C42—22no—
579C42—42no—
580C42—42no—
581C42—682no—
582C42D4×D1712yes—
583C42#6325412yes—
584C23—21no—
585C23—21no—
586C23—21no—
587C23—21no—
588C23—342no—
589C23—681no—
590C23—681no—
591C23—681no—
592C23—681no—
593C23—681no—
594C23—681no—
595C23C4×C22⋊D1712yes—
596C23#1058762812yes—
597C23#1058763512yes—
598C23C22×C22⋊D1711yescharacteristic
599Q8—22no—
600Q8—22no—
601Q8—41no—
602Q8—41no—
603D4—342no—
604D4—342no—
605D4—688no—
606D4—681no—
607D4—681no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—22no—
615C2×C4—22no—
616C2×C4—22no—
617C2×C4—22no—
618C2×C4—22no—
619C2×C4—22no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—44no—
627C2×C4—44no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—342no—
639C2×C4—681no—
640C2×C4—681no—
641C2×C4—681no—
642C2×C4—681no—
643C2×C4—681no—
644C2×C4—681no—
645C2×C4—681no—
646C2×C4—681no—
647C2×C4—1364no—
648C2×C4C4×C22⋊D1712yes—
649C2×C4#1058762512yes—
650C2×C4#1058762512yes—
651C2×C4C22×C4×D1711yescharacteristic
652C2×C4C2×#6325211yescharacteristic
653C2×C4C2×D4×D1711yescharacteristic
654C2×C4C2×#6325411yescharacteristic
655C2×C4#41×D1711yescharacteristic
656C2×C4#41×D1711yescharacteristic
657C8—174no—
658C8—342no—
659C8—342no—
660C8—342no—
661C22—22no—
662C22—22no—
663C22—22no—
664C22—22no—
665C22—22no—
666C22—22no—
667C22—682no—
668C22—682no—
669C22—682no—
670C22—1361no—
671C22—1361no—
672C22—1361no—
673C22—1361no—
674C22#1176290714yescomplemented
675C22C2×C4×C22⋊D1711yescharacteristic
676C22C2×#1058762511yescharacteristic
677C22#1176335511yescharacteristic
678C22C2×#1058763511yescharacteristic
679C22C2×#1058762811yescharacteristic
680C22#1176360711yescharacteristic
681C22#1176360711yescharacteristic
682C4—22no—
683C4—22no—
684C4—22no—
685C4—42no—
686C4—41no—
687C4—41no—
688C4—42no—
689C4—81no—
690C4—81no—
691C4—682no—
692C4—1361no—
693C4—1361no—
694C4C4×D4×D1711yescharacteristic
695C4C4×#6325411yescharacteristic
696C4#1176331811yescharacteristic
697C4#1176333911yescharacteristic
698C2—24no—
699C2—1362no—
700C2C4×#1058762511yescharacteristic
701C2C2×#1176290711yescharacteristic
702C2#1453758211yescharacteristic
703C2#1453840511yescharacteristic
704C2#1453841011yescharacteristic
705C2#1453948311yescharacteristic
706C2#1453948711yescharacteristic
subgroupG/H
centerC23C22×C22⋊D17
commutatorC2×C4×C17C23×C4
FrattiniC22×C4C23×D17
FittingC4×C17×C22⋊Q8C2
socleC23×C17C22×D4
prime radicalC2×#10587616C22
cosocleC22×C4×C17C24
hypercenterC4×C22⋊Q8D17
hypocenterC17#21528
LCSG ▷ C2×C4×C17 ▷ C2×C17 ▷ C17
UCSC1 ◁ C23 ◁ C22×C42 ◁ C4×C22⋊Q8

Complements

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

NH ≅ G/Ntype
2. C2×#11762907C2semidirect
3. C22×#10587474C2semidirect
5. #14529668C2semidirect
6. #14529524C2semidirect
7. #14529480C2semidirect
8. #14529477C2semidirect
10. #14529208C2semidirect
11. #14528811C2semidirect
12. #14528682C2semidirect
13. #14528614C2semidirect
14. #14528612C2semidirect
15. C4×C17×C22⋊Q8C2semidirect
22. #11763040C4semidirect
70. C17×C22⋊Q8C2×C4semidirect
92. C2×#63230C2×C4semidirect
110. C22×#3622C2×C4semidirect
124. #10587506C2×C4semidirect
130. #10587480C2×C4semidirect
131. #10587479C2×C4semidirect
137. #10587474D4semidirect
307. #3622C4×D4semidirect
311. C4×C22⋊Q8D17semidirect
329. C22×C17#440semidirect
436. C22⋊Q8C4×D17semidirect
491. C17#21528semidirect
674. C22#11762907semidirect

Maximal subgroups

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

subgroupindex
C2×#117630402
C2×#117629072
C22×#105874742
C4×#105876162
#145296682
#145295242
#145294802
#145294772
#145292102
#145292082
#145288112
#145286822
#145286142
#145286122
C4×C17×C22⋊Q82
#2152817