Finite Group Databasebeta

← #17040901

Subgroups — #17040901

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×#11763038C211yesmaximal, characteristic
2C2×#11762911C211yesmaximal, characteristic, complemented
3C4×#10587610C211yesmaximal, characteristic, complemented
4C4×#10587616C211yesmaximal, characteristic
5#14529665C211yesmaximal, characteristic, complemented
6#14529527C211yesmaximal, characteristic, complemented
7#14529481C211yesmaximal, characteristic, complemented
8#14529474C211yesmaximal, characteristic, complemented
9#14529212C211yesmaximal, characteristic
10#14529207C211yesmaximal, characteristic, complemented
11#14528813C211yesmaximal, characteristic, complemented
12#14528681C211yesmaximal, characteristic, complemented
13#14528615C211yesmaximal, characteristic, complemented
14#14528610C211yesmaximal, characteristic, complemented
15C22×C17×#97C211yesmaximal, characteristic, complemented
16C22×#63219C2211yescharacteristic
17C2×#10587610C2211yescharacteristic
18C2×#10587616C2211yescharacteristic
19C2×C4×Dic34C2211yescharacteristic
20C2×C4×D68C2211yescharacteristic
21C2×C4×C22⋊D17—21no—
22#11763038C418yescomplemented
23#11762911—24no—
24C2×#10587489C2211yescharacteristic
25C2×#10587489C2211yescharacteristic
26C2×#10587488C2211yescharacteristic
27C2×#10587487C2211yescharacteristic
28C2×#10587487C2211yescharacteristic
29C2×#10587487C2211yescharacteristic
30C2×#10587492C2211yescharacteristic
31C2×#10587492C2211yescharacteristic
32C2×#10587492C2211yescharacteristic
33#11762715C2211yescharacteristic
34#11762711C2211yescharacteristic
35#11762707C2211yescharacteristic
36#11762707C2211yescharacteristic
37#11762700—21no—
38#11762693—21no—
39#11762688—21no—
40#11762682—21no—
41#11762669C2211yescharacteristic
42#11762669C2211yescharacteristic
43C4×#63225—21no—
44C4×C4⋊Dic17C2211yescharacteristic
45C4×C4⋊Dic17C2211yescharacteristic
46C4×#63227—21no—
47C4×C22⋊Dic17—21no—
48#11762572C2211yescharacteristic
49#11762572C2211yescharacteristic
50#11762572C2211yescharacteristic
51#11762572C2211yescharacteristic
52#11762572C2211yescharacteristic
53#11762572C2211yescharacteristic
54C23×C8×C17C2211yescharacteristic
55C23×C8×C17C2211yescharacteristic
56C22×C42×C17C2211yescharacteristic
57C2×C17×#97—24no—
58C2×C17×#97C2211yescharacteristic
59C2×C17×#97C2211yescharacteristic
60C2×C17×#97C2211yescharacteristic
61C2×C17×#97C2211yescharacteristic
62C23×C4×C17D411yescharacteristic
63C23×C4×C17D411yescharacteristic
64C23×C4×C17C2311yescharacteristic
65C22×C22⋊D17—21no—
66C22×D68C2311yescharacteristic
67C22×C4×D17—21no—
68C22×Dic34C2311yescharacteristic
69C22×C8×C17—22no—
70C22×C8×C17—22no—
71C22×C8×C17—22no—
72C22×C8×C17—22no—
73C22×C8×C17—22no—
74C22×C8×C17C2×C414yescomplemented
75C22×C8×C17C2311yescharacteristic
76C22×C8×C17C2311yescharacteristic
77C22×C8×C17C2311yescharacteristic
78C22×C8×C17C2311yescharacteristic
79C2×C42×C17—22no—
80C2×C42×C17—22no—
81C2×C42×C17D411yescharacteristic
82C2×C42×C17D411yescharacteristic
83C2×C42×C17C2311yescharacteristic
84C2×C42×C17C2311yescharacteristic
85C2×C22⋊Dic17—21no—
86C2×C22⋊Dic17—21no—
87C2×C22⋊Dic17—21no—
88#10587616—22no—
89#10587616C2×C414yes—
90C4×C22⋊D17—44no—
91C2×#63227—21no—
92C2×#63227—21no—
93C2×#63227—21no—
94C2×#63227—21no—
95C2×C4⋊Dic17C2311yescharacteristic
96C2×C4⋊Dic17C2311yescharacteristic
97C2×C4⋊Dic17C2311yescharacteristic
98C2×C4⋊Dic17C2311yescharacteristic
99C2×C4⋊Dic17C2311yescharacteristic
100C2×C4⋊Dic17C2311yescharacteristic
101#10587610—22no—
102#10587610C2×C414yescomplemented
103C2×#63225—21no—
104C2×#63225—21no—
105C2×#63225—21no—
106C2×#63225—21no—
107C2×C4×Dic17—21no—
108C2×C4×Dic17—21no—
109C2×C4×Dic17—21no—
110C2×#63219—22no—
111C2×#63219—22no—
112C2×#63219C2×C414yescomplemented
113C4×D68—22no—
114C4×D68—22no—
115C4×Dic34—22no—
116C4×Dic34—22no—
117C17×#97—22no—
118C17×#97—22no—
119C17×#97—22no—
120C17×#97D414yescomplemented
121#10587502—21no—
122#10587502—21no—
123#10587502—21no—
124#10587502—21no—
125#10587502—21no—
126#10587502—21no—
127#10587502—21no—
128#10587502—21no—
129#10587492—22no—
130#10587492—22no—
131#10587492C2×C414yescomplemented
132#10587489—22no—
133#10587489—22no—
134#10587488C2×C414yescomplemented
135#10587487—22no—
136#10587487—22no—
137#10587487C2×C414yescomplemented
138C24×C17C2×D411yescharacteristic
139C23×D17—21no—
140C22×C4×C17—21no—
141C22×C4×C17—21no—
142C22×C4×C17—21no—
143C22×C4×C17—21no—
144C22×C4×C17—22no—
145C22×C4×C17—22no—
146C22×C4×C17—22no—
147C22×C4×C17—22no—
148C22×C4×C17—41no—
149C22×C4×C17—41no—
150C22×C4×C17C22×C412yes—
151C22×C4×C17C2×D411yescharacteristic
152C22×C4×C17C2×D411yescharacteristic
153C22×C4×C17C2×D411yescharacteristic
154C22×C4×C17C2×D411yescharacteristic
155C22×C4×C17C2×D411yescharacteristic
156C22×C4×C17#4112yes—
157C22×C4×C17C2411yescharacteristic
158C2×C22⋊D17—24no—
159C2×C22⋊D17—42no—
160C2×C22⋊D17—42no—
161C22×Dic17—21no—
162C22×Dic17—21no—
163C22×Dic17—21no—
164C22×Dic17—21no—
165C22×Dic17—21no—
166C22×Dic17—21no—
167C22×Dic17—21no—
168C2×D68—21no—
169C2×D68—21no—
170C2×D68—21no—
171C2×D68—21no—
172C2×D68—21no—
173C2×D68C22×C412yes—
174C2×C4×D17—42no—
175C2×C4×D17—42no—
176C2×C4×D17—42no—
177C2×Dic34—21no—
178C2×Dic34—21no—
179C2×Dic34—21no—
180C2×Dic34—21no—
181C2×Dic34—21no—
182C2×Dic34C22×C412yes—
183C2×C8×C17—28no—
184C2×C8×C17—21no—
185C2×C8×C17—21no—
186C2×C8×C17—21no—
187C2×C8×C17—21no—
188C2×C8×C17—21no—
189C2×C8×C17—21no—
190C2×C8×C17—28no—
191C2×C8×C17C22×C412yes—
192C2×C8×C17C22×C412yes—
193C2×C8×C17C2×D412yes—
194C2×C8×C17C2×D412yes—
195C2×C8×C17#4112yes—
196C2×C8×C17#4112yes—
197C42×C17—22no—
198C42×C17—22no—
199C42×C17—21no—
200C42×C17—21no—
201C42×C17C2×D412yes—
202C42×C17#4112yes—
203C22⋊Dic17—24no—
204C22⋊Dic17—42no—
205C22⋊Dic17—42no—
206#63227—24no—
207#63227—42no—
208#63227—42no—
209#63227—42no—
210C4⋊Dic17—21no—
211C4⋊Dic17—21no—
212C4⋊Dic17—21no—
213C4⋊Dic17—21no—
214C4⋊Dic17—21no—
215C4⋊Dic17—21no—
216C4⋊Dic17—21no—
217C4⋊Dic17—21no—
218C4⋊Dic17—21no—
219C4⋊Dic17—21no—
220C4⋊Dic17C22×C412yes—
221C4⋊Dic17C22×C412yes—
222#63225—24no—
223#63225—42no—
224#63225—42no—
225#63225—42no—
226C4×Dic17—42no—
227C4×Dic17—42no—
228C4×Dic17—42no—
229#63219—28no—
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—
246C2×C4×C17—21no—
247C2×C4×C17—21no—
248C2×C4×C17—21no—
249C2×C4×C17—21no—
250C2×C4×C17—21no—
251C2×C4×C17—21no—
252C2×C4×C17—22no—
253C2×C4×C17—22no—
254C2×C4×C17—22no—
255C2×C4×C17—22no—
256C2×C4×C17—21no—
257C2×C4×C17—21no—
258C2×C4×C17—21no—
259C2×C4×C17—21no—
260C2×C4×C17—21no—
261C2×C4×C17—21no—
262C2×C4×C17—44no—
263C2×C4×C17—44no—
264C2×C4×C17C4×D412yes—
265C2×C4×C17#12112yes—
266C2×C4×C17#12112yes—
267C2×C4×C17C23×C411yescharacteristic
268C2×C4×C17C22×D411yescharacteristic
269C2×C4×C17C2×#4111yescharacteristic
270C2×C4×C17C2×#4111yescharacteristic
271C2×C4×C17C2×#4111yescharacteristic
272C2×C4×C17C2×#4111yescharacteristic
273C22⋊D17—48no—
274C2×Dic17—22no—
275C2×Dic17—22no—
276C2×Dic17—22no—
277C2×Dic17—41no—
278C2×Dic17—41no—
279C2×Dic17—41no—
280C2×Dic17—41no—
281C2×Dic17—41no—
282C2×Dic17—41no—
283C2×Dic17—41no—
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×Dic17—41no—
295D68—22no—
296D68—22no—
297D68—41no—
298D68—41no—
299C4×D17—84no—
300Dic34—22no—
301Dic34—22no—
302Dic34—41no—
303Dic34—41no—
304C8×C17—22no—
305C8×C17—22no—
306C8×C17—22no—
307C8×C17C4×D414yescomplemented
308C2×#465—171no—
309C2×#440—171no—
310C22×#97D1711yescharacteristic, complemented
311C4×C22⋊Q8—171no—
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—41no—
348C4×C17—41no—
349C4×C17C2×C4×D411yescharacteristic
350C4×C17C4×#4111yescharacteristic
351C4×C17#52511yescharacteristic
352C4×C17#52911yescharacteristic
353Dic17—42no—
354Dic17—42no—
355Dic17—42no—
356Dic17—81no—
357Dic17—81no—
358Dic17—81no—
359Dic17—81no—
360C22×SD16—171no—
361C23×C8C2×D1711yescharacteristic
362C23×C8C2×D1711yescharacteristic
363C2×C22⋊Q8—171no—
364C2×#121—171no—
365C2×C4×Q8—171no—
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—24no—
381C2×#97C2×D1711yescharacteristic
382C2×#97C2×D1711yescharacteristic
383C2×#97C2×D1711yescharacteristic
384C2×#97C2×D1711yescharacteristic
385#391—171no—
386#390—171no—
387#389—171no—
388#389—171no—
389#388—341no—
390#387—341no—
391#386—341no—
392#385—341no—
393#380—171no—
394#380—171no—
395C4×C4⋊C4—171no—
396C4×C4⋊C4—171no—
397C4×C4⋊C4—341no—
398C4×C22⋊C4—341no—
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×Q8—171no—
416C22×D4—171no—
417C22×D4—341no—
418C23×C4—341no—
419C23×C4D6811yescharacteristic
420C23×C4D6811yescharacteristic
421C23×C4C22×D1711yescharacteristic
422C2×SD16—174no—
423C2×SD16—342no—
424C2×SD16—342no—
425C22×C8—22no—
426C22×C8—22no—
427C22×C8—22no—
428C22×C8—22no—
429C22×C8—22no—
430C22×C8C4×D1714yescomplemented
431C22×C8C22×D1711yescharacteristic
432C22×C8C22×D1711yescharacteristic
433C22×C8C22×D1711yescharacteristic
434C22×C8C22×D1711yescharacteristic
435C22⋊Q8—174no—
436C22⋊Q8—342no—
437#121—174no—
438#121—342no—
439C4×Q8—342no—
440C4×Q8—342no—
441C4×D4—342no—
442C4×D4—342no—
443C4×D4—684no—
444C2×C4⋊C4—171no—
445C2×C4⋊C4—171no—
446C2×C4⋊C4—171no—
447C2×C4⋊C4—171no—
448C2×C4⋊C4—171no—
449C2×C4⋊C4—171no—
450C2×C4⋊C4—341no—
451C2×C4⋊C4—341no—
452C2×C4⋊C4—341no—
453C2×C4⋊C4—341no—
454C2×C22⋊C4—341no—
455C2×C22⋊C4—341no—
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—341no—
464C2×C42—341no—
465C2×C42—341no—
466C2×C42D6811yescharacteristic
467C2×C42D6811yescharacteristic
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—22no—
480#97—22no—
481#97—22no—
482#97C22⋊D1714yescomplemented
483#95—341no—
484#95—341no—
485#95—341no—
486#95—341no—
487#95—341no—
488#95—341no—
489#95—341no—
490#95—341no—
491C17#2152811yescharacteristic, complemented, Sylow
492C24—341no—
493C24C2×D6811yescharacteristic
494C2×Q8—172no—
495C2×Q8—341no—
496C2×Q8—341no—
497C2×Q8—341no—
498C2×Q8—341no—
499C2×Q8—341no—
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—22no—
514C22×C4—22no—
515C22×C4—22no—
516C22×C4—22no—
517C22×C4—41no—
518C22×C4—41no—
519C22×C4—341no—
520C22×C4—341no—
521C22×C4—341no—
522C22×C4—341no—
523C22×C4—341no—
524C22×C4—341no—
525C22×C4—341no—
526C22×C4—682no—
527C22×C4—682no—
528C22×C4—682no—
529C22×C4C2×C4×D1712yes—
530C22×C4C2×D6811yescharacteristic
531C22×C4C2×D6811yescharacteristic
532C22×C4C2×D6811yescharacteristic
533C22×C4C2×D6811yescharacteristic
534C22×C4C2×D6811yescharacteristic
535C22×C4#6325212yes—
536C22×C4C23×D1711yescharacteristic
537SD16—348no—
538C2×C8—28no—
539C2×C8—21no—
540C2×C8—21no—
541C2×C8—21no—
542C2×C8—21no—
543C2×C8—21no—
544C2×C8—21no—
545C2×C8—28no—
546C2×C8C2×C4×D1712yes—
547C2×C8C2×C4×D1712yes—
548C2×C8#6325212yes—
549C2×C8#6325212yes—
550C2×C8C2×C22⋊D1712yes—
551C2×C8C2×C22⋊D1712yes—
552C4⋊C4—172no—
553C4⋊C4—172no—
554C4⋊C4—341no—
555C4⋊C4—341no—
556C4⋊C4—344no—
557C4⋊C4—341no—
558C4⋊C4—341no—
559C4⋊C4—341no—
560C4⋊C4—341no—
561C4⋊C4—341no—
562C4⋊C4—341no—
563C4⋊C4—341no—
564C4⋊C4—341no—
565C4⋊C4—682no—
566C4⋊C4—682no—
567C4⋊C4—682no—
568C22⋊C4—344no—
569C22⋊C4—344no—
570C22⋊C4—682no—
571C22⋊C4—682no—
572C22⋊C4—682no—
573C22⋊C4—682no—
574C22⋊C4—682no—
575C42—21no—
576C42—21no—
577C42—22no—
578C42—22no—
579C42—682no—
580C42—682no—
581C42—682no—
582C42#6325212yes—
583C42C2×C22⋊D1712yes—
584C23—21no—
585C23—21no—
586C23—21no—
587C23—21no—
588C23—342no—
589C23—681no—
590C23—681no—
591C23—681no—
592C23—681no—
593C23—681no—
594C23—681no—
595C23C4×D6812yes—
596C23#1058759412yes—
597C23#1058759512yes—
598C23C22×D6811yescharacteristic
599Q8—342no—
600Q8—342no—
601Q8—681no—
602Q8—681no—
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—21no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—21no—
624C2×C4—44no—
625C2×C4—44no—
626C2×C4—342no—
627C2×C4—342no—
628C2×C4—342no—
629C2×C4—681no—
630C2×C4—681no—
631C2×C4—681no—
632C2×C4—681no—
633C2×C4—681no—
634C2×C4—681no—
635C2×C4—681no—
636C2×C4—681no—
637C2×C4—681no—
638C2×C4—681no—
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×D6812yes—
649C2×C4#1058761612yes—
650C2×C4#1058761612yes—
651C2×C4C22×C4×D1711yescharacteristic
652C2×C4C2×#6325211yescharacteristic
653C2×C4C2×#6325211yescharacteristic
654C2×C4C2×#6325211yescharacteristic
655C2×C4C2×#6325211yescharacteristic
656C2×C4C22×C22⋊D1711yescharacteristic
657C8—22no—
658C8—22no—
659C8—22no—
660C8C4×C22⋊D1714yescomplemented
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#1176291114yescomplemented
675C22C2×C4×D6811yescharacteristic
676C22C2×#1058761611yescharacteristic
677C22#1176335911yescharacteristic
678C22C2×#1058759411yescharacteristic
679C22C2×#1058759511yescharacteristic
680C22#1176360911yescharacteristic
681C22#1176360911yescharacteristic
682C4—22no—
683C4—22no—
684C4—22no—
685C4—41no—
686C4—41no—
687C4—682no—
688C4—682no—
689C4—682no—
690C4—1361no—
691C4—1361no—
692C4—1361no—
693C4—1361no—
694C4C2×C4×C22⋊D1711yescharacteristic
695C4C4×#6325211yescharacteristic
696C4#1176332011yescharacteristic
697C4#1176334311yescharacteristic
698C2—24no—
699C2—1362no—
700C2C4×#1058761611yescharacteristic
701C2C2×#1176291111yescharacteristic
702C2#1453758611yescharacteristic
703C2#1453840311yescharacteristic
704C2#1453841411yescharacteristic
705C2#1453948211yescharacteristic
706C2#1453949311yescharacteristic
subgroupG/H
centerC23C22×D68
commutatorC2×C4×C17C23×C4
FrattiniC22×C4C23×D17
FittingC22×C17×#97C2
socleC23×C17C22×D4
prime radicalC2×#10587616C22
cosocleC22×C4×C17C24
hypercenterC22×#97D17
hypocenterC17#21528
LCSG ▷ C2×C4×C17 ▷ C2×C17 ▷ C17
UCSC1 ◁ C23 ◁ C22×C42 ◁ C22×#97

Complements

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

NH ≅ G/Ntype
2. C2×#11762911C2semidirect
3. C4×#10587610C2semidirect
5. #14529665C2semidirect
6. #14529527C2semidirect
7. #14529481C2semidirect
8. #14529474C2semidirect
10. #14529207C2semidirect
11. #14528813C2semidirect
12. #14528681C2semidirect
13. #14528615C2semidirect
14. #14528610C2semidirect
15. C22×C17×#97C2semidirect
22. #11763038C4semidirect
74. C22×C8×C17C2×C4semidirect
102. #10587610C2×C4semidirect
112. C2×#63219C2×C4semidirect
120. C17×#97D4semidirect
131. #10587492C2×C4semidirect
134. #10587488C2×C4semidirect
137. #10587487C2×C4semidirect
307. C8×C17C4×D4semidirect
310. C22×#97D17semidirect
329. C22×C17#440semidirect
430. C22×C8C4×D17semidirect
482. #97C22⋊D17semidirect
491. C17#21528semidirect
660. C8C4×C22⋊D17semidirect
674. C22#11762911semidirect

Maximal subgroups

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

subgroupindex
C2×#117630382
C2×#117629112
C4×#105876102
C4×#105876162
#145296652
#145295272
#145294812
#145294742
#145292122
#145292072
#145288132
#145286812
#145286152
#145286102
C22×C17×#972
#2152817