Finite Group Databasebeta

← #17045547

Subgroups — #17045547

Order 4352.

1000 conjugacy classes of subgroups.

The subgroup lattice has 726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11762969C211yesmaximal, characteristic
2#14531274C211yesmaximal, characteristic
3#14529668C211yesmaximal, characteristic, complemented
4#14529654C211yesmaximal, characteristic, complemented
5#14529480C211yesmaximal, characteristic, complemented
6#14529473C211yesmaximal, characteristic, complemented
7#14529425C211yesmaximal, characteristic, complemented
8#14529411C211yesmaximal, characteristic, complemented
9#14529139C211yesmaximal, characteristic, complemented
10#14529125C211yesmaximal, characteristic, complemented
11#14529097C211yesmaximal, characteristic, complemented
12#14528981C211yesmaximal, characteristic, complemented
13#14528722C211yesmaximal, characteristic
14#14528546C211yesmaximal, characteristic, complemented
15C4×C17×C22⋊Q8C211yesmaximal, characteristic, complemented
16C22×#63252C2211yescharacteristic
17C22×#63231C2211yescharacteristic
18C22×#63230C2211yescharacteristic
19C2×#10587612C2211yescharacteristic
20#11762969C418yescomplemented
21C2×#10587478C2211yescharacteristic
22C2×#10587479C2211yescharacteristic
23C2×#10587506C2211yescharacteristic
24C2×#10587506C2211yescharacteristic
25C2×#10587481C2211yescharacteristic
26C2×#10587481C2211yescharacteristic
27C2×#10587481C2211yescharacteristic
28C2×#10587480C2211yescharacteristic
29C2×#10587480C2211yescharacteristic
30C2×#10587480C2211yescharacteristic
31C2×C22⋊#3622C2211yescharacteristic
32C2×C22⋊#3622C2211yescharacteristic
33C2×#10587474C2211yescharacteristic
34C2×#10587474C2211yescharacteristic
35#11762715C2211yescharacteristic
36#11762715C2211yescharacteristic
37#11762711C2211yescharacteristic
38#11762711C2211yescharacteristic
39#11762688—21no—
40#11762688—21no—
41C4×#63227—21no—
42C4×#63227—21no—
43#11762571C2211yescharacteristic
44#11762571C2211yescharacteristic
45#11762571C2211yescharacteristic
46#11762571C2211yescharacteristic
47#11762564C2211yescharacteristic
48#11762564C2211yescharacteristic
49C2×C17×C22⋊Q8C2211yescharacteristic
50C2×C4×Q8×C17C2211yescharacteristic
51C22×C42×C17C2211yescharacteristic
52C17×#391C2211yescharacteristic
53C17×#389C2211yescharacteristic
54C17×#387—21no—
55C17×#385—21no—
56C17×#380C2211yescharacteristic
57C4×C4⋊C4×C17—21no—
58C4×C4⋊C4×C17C2211yescharacteristic
59C4×C22⋊C4×C17—21no—
60C22×Q8×C17C2311yescharacteristic
61C23×C4×C17D411yescharacteristic
62C23×C4×C17D411yescharacteristic
63C23×C4×C17C2311yescharacteristic
64C22×C22⋊D17—21no—
65C2×#63252—22no—
66C2×#63252—41no—
67C2×#63252—41no—
68C2×#63252—41no—
69C2×#63252—41no—
70C2×#63252C2×C414yes—
71C22×D68C2311yescharacteristic
72C22×C4×D17—21no—
73C22×Dic34C2311yescharacteristic
74C17×C22⋊Q8—22no—
75C17×C22⋊Q8C2×C414yes—
76C4×Q8×C17—41no—
77C4×Q8×C17—41no—
78C2×C4⋊C4×C17—21no—
79C2×C4⋊C4×C17—21no—
80C2×C4⋊C4×C17—21no—
81C2×C4⋊C4×C17C2311yescharacteristic
82C2×C4⋊C4×C17C2311yescharacteristic
83C2×C4⋊C4×C17C2311yescharacteristic
84C2×C22⋊C4×C17—21no—
85C2×C22⋊C4×C17—21no—
86C2×C42×C17—21no—
87C2×C42×C17—21no—
88C2×C42×C17—41no—
89C2×C42×C17—41no—
90C2×C42×C17D411yescharacteristic
91C2×C42×C17D411yescharacteristic
92C2×C42×C17C2311yescharacteristic
93C2×C42×C17C2311yescharacteristic
94C2×C22⋊Dic17—21no—
95C2×#63231—41no—
96C2×#63231—41no—
97C2×#63231C2×C414yescomplemented
98C2×#63230—41no—
99C2×#63230—41no—
100C2×#63230C2×C414yescomplemented
101C2×#63227—21no—
102C2×#63227—21no—
103C2×#63227—21no—
104C2×#63227—21no—
105#10587612—41no—
106#10587612—41no—
107C2×C4⋊Dic17C2311yescharacteristic
108C2×C4⋊Dic17C2311yescharacteristic
109C2×C4×Dic17—21no—
110C22×#3622C2311yescharacteristic
111C22×#3622C2311yescharacteristic
112C22×#3622C2311yescharacteristic
113C22×#3622C2311yescharacteristic
114C17×#95—21no—
115C17×#95—21no—
116C17×#95—21no—
117C17×#95—21no—
118C17×#95—21no—
119#10587506—41no—
120#10587506—41no—
121#10587502—21no—
122#10587502—21no—
123#10587502—21no—
124#10587502—21no—
125C22⋊#3622—22no—
126C22⋊#3622C2×C414yes—
127#10587481—41no—
128#10587481—41no—
129#10587481C2×C414yescomplemented
130#10587480—41no—
131#10587480—41no—
132#10587480C2×C414yescomplemented
133#10587479—41no—
134#10587478—41no—
135#10587474—41no—
136#10587474—41no—
137C24×C17C2×D411yescharacteristic
138C23×D17—21no—
139C2×Q8×C17—21no—
140C2×Q8×C17—21no—
141C2×Q8×C17—21no—
142C2×Q8×C17—21no—
143C2×Q8×C17—21no—
144C2×Q8×C17C22×C412yes—
145C22×C4×C17—21no—
146C22×C4×C17—21no—
147C22×C4×C17—21no—
148C22×C4×C17—21no—
149C22×C4×C17—21no—
150C22×C4×C17—21no—
151C22×C4×C17—22no—
152C22×C4×C17—21no—
153C22×C4×C17—21no—
154C22×C4×C17—41no—
155C22×C4×C17—41no—
156C22×C4×C17—41no—
157C22×C4×C17—41no—
158C22×C4×C17—41no—
159C22×C4×C17C22×C412yes—
160C22×C4×C17C2×D411yescharacteristic
161C22×C4×C17C2×D411yescharacteristic
162C22×C4×C17C2×D411yescharacteristic
163C22×C4×C17C2×D411yescharacteristic
164C22×C4×C17C2×D411yescharacteristic
165C22×C4×C17#4112yes—
166C22×C4×C17C2411yescharacteristic
167C2×C22⋊D17—24no—
168C2×C22⋊D17—42no—
169C2×C22⋊D17—42no—
170C22×Dic17—21no—
171C22×Dic17—21no—
172C22×Dic17—21no—
173#63252—44no—
174#63252—44no—
175#63252—44no—
176#63252—44no—
177C2×D68—21no—
178C2×D68—21no—
179C2×D68—21no—
180C2×D68—21no—
181C2×D68—21no—
182C2×D68C22×C412yes—
183C2×C4×D17—24no—
184C2×C4×D17—42no—
185C2×C4×D17—42no—
186C2×Dic34—21no—
187C2×Dic34—21no—
188C2×Dic34—21no—
189C2×Dic34—21no—
190C2×Dic34—21no—
191C2×Dic34C22×C412yes—
192C4⋊C4×C17—24no—
193C4⋊C4×C17—21no—
194C4⋊C4×C17—21no—
195C4⋊C4×C17—21no—
196C4⋊C4×C17—21no—
197C4⋊C4×C17—21no—
198C4⋊C4×C17—42no—
199C4⋊C4×C17—42no—
200C4⋊C4×C17C22×C412yes—
201C22⋊C4×C17—24no—
202C22⋊C4×C17—42no—
203C42×C17—21no—
204C42×C17—21no—
205C42×C17—21no—
206C42×C17—21no—
207C42×C17—41no—
208C42×C17—41no—
209C42×C17—42no—
210C42×C17—42no—
211C22⋊Dic17—42no—
212#63231—44no—
213#63230—44no—
214#63227—42no—
215#63227—42no—
216#63227—42no—
217#63227—42no—
218C4⋊Dic17—21no—
219C4⋊Dic17—21no—
220C4⋊Dic17—21no—
221C4⋊Dic17—21no—
222C4×Dic17—42no—
223C2×#3622—21no—
224C2×#3622—21no—
225C2×#3622—21no—
226C2×#3622—21no—
227C2×#3622—21no—
228C2×#3622—21no—
229C2×#3622—21no—
230C2×#3622—21no—
231C2×#3622—21no—
232C2×#3622—21no—
233C2×#3622C22×C412yes—
234C2×#3622C22×C412yes—
235#22048—171nomaximal, Sylow
236C23×C17—21no—
237C23×C17—21no—
238C23×C17—21no—
239C23×C17—21no—
240C23×C17—21no—
241C23×C17—21no—
242C23×C17C4×D412yes—
243C23×C17C22×D411yescharacteristic
244C22×D17—22no—
245C22×D17—41no—
246C22×D17—41no—
247C22×D17—41no—
248C22×D17—41no—
249C22×D17—41no—
250C22×D17—41no—
251Q8×C17—22no—
252Q8×C17—22no—
253Q8×C17—41no—
254Q8×C17—41no—
255C2×C4×C17—21no—
256C2×C4×C17—21no—
257C2×C4×C17—21no—
258C2×C4×C17—21no—
259C2×C4×C17—22no—
260C2×C4×C17—22no—
261C2×C4×C17—22no—
262C2×C4×C17—22no—
263C2×C4×C17—22no—
264C2×C4×C17—22no—
265C2×C4×C17—21no—
266C2×C4×C17—21no—
267C2×C4×C17—21no—
268C2×C4×C17—21no—
269C2×C4×C17—21no—
270C2×C4×C17—21no—
271C2×C4×C17—21no—
272C2×C4×C17—21no—
273C2×C4×C17—21no—
274C2×C4×C17—44no—
275C2×C4×C17—44no—
276C2×C4×C17—41no—
277C2×C4×C17—41no—
278C2×C4×C17—41no—
279C2×C4×C17—41no—
280C2×C4×C17—41no—
281C2×C4×C17—41no—
282C2×C4×C17—41no—
283C2×C4×C17—41no—
284C2×C4×C17—41no—
285C2×C4×C17—41no—
286C2×C4×C17C4×D412yes—
287C2×C4×C17#13712yes—
288C2×C4×C17C23×C411yescharacteristic
289C2×C4×C17C2×#4111yescharacteristic
290C2×C4×C17H(5,𝔽2)11yescharacteristic
291C2×C4×C17H(5,𝔽2)11yescharacteristic
292C2×C4×C17H(5,𝔽2)11yescharacteristic
293C2×C4×C17H(5,𝔽2)11yescharacteristic
294C22⋊D17—48no—
295C2×Dic17—22no—
296C2×Dic17—41no—
297C2×Dic17—41no—
298C2×Dic17—41no—
299C2×Dic17—41no—
300C2×Dic17—41no—
301C2×Dic17—41no—
302C2×Dic17—41no—
303C2×Dic17—41no—
304D68—22no—
305D68—22no—
306D68—41no—
307D68—41no—
308C4×D17—48no—
309Dic34—22no—
310Dic34—22no—
311Dic34—41no—
312Dic34—41no—
313#3622—22no—
314#3622—22no—
315#3622—41no—
316#3622—41no—
317C2×#452—171no—
318C4×C22⋊Q8D1711yescharacteristic, complemented
319#2297—171no—
320#1973—171no—
321#1971—171no—
322#1936—171no—
323#1935—171no—
324#1928—171no—
325#1926—171no—
326#1880—171no—
327#1878—171no—
328#1873—171no—
329#1854—171no—
330#1788—171no—
331#1749—171no—
332C22×C17—22no—
333C22×C17—22no—
334C22×C17—22no—
335C22×C17—41no—
336C22×C17—41no—
337C22×C17—41no—
338C22×C17—41no—
339C22×C17C2×C4×D411yescharacteristic
340C22×C17#53411yescharacteristic
341C22×C17#53511yescharacteristic
342C22×C17C2×#13711yescharacteristic
343C22×C17#57511yescharacteristic
344C22×C17#57511yescharacteristic
345C22×C17#57511yescharacteristic
346C2×D17—42no—
347C2×D17—42no—
348C2×D17—42no—
349C2×D17—81no—
350C2×D17—81no—
351C2×D17—81no—
352C2×D17—81no—
353C4×C17—22no—
354C4×C17—22no—
355C4×C17—42no—
356C4×C17—41no—
357C4×C17—41no—
358C4×C17—41no—
359C4×C17—42no—
360C4×C17—81no—
361C4×C17—81no—
362C4×C17#51811yescharacteristic
363C4×C17#51811yescharacteristic
364C4×C17#53811yescharacteristic
365C4×C17#53811yescharacteristic
366Dic17—42no—
367Dic17—81no—
368Dic17—81no—
369C22×#41—171no—
370C22×Q16—171no—
371C22×SD16—171no—
372C2×C22⋊Q8C2×D1711yescharacteristic
373C2×C4×Q8C2×D1711yescharacteristic
374C2×#117—171no—
375C22×C42C2×D1711yescharacteristic
376#452—178no—
377C2×#107—171no—
378C2×#106—171no—
379C2×#103—171no—
380C2×#103—171no—
381C2×#103—171no—
382C2×#103—171no—
383C2×#103—171no—
384C2×#102—171no—
385C2×#102—171no—
386C2×#102—171no—
387C2×C22⋊C8—171no—
388C2×C22⋊C8—171no—
389C2×#97—171no—
390C2×#97—171no—
391#391—171no—
392#391—171no—
393#391C2×D1711yescharacteristic
394#390—171no—
395#390—171no—
396#389C2×D1711yescharacteristic
397#387—21no—
398#386—341no—
399#386—341no—
400#385—21no—
401#380C2×D1711yescharacteristic
402C4×C4⋊C4—21no—
403C4×C4⋊C4C2×D1711yescharacteristic
404C4×C22⋊C4—21no—
405C4×C22⋊C4—341no—
406C4×C22⋊C4—341no—
407#340—171no—
408#340—171no—
409#340—171no—
410#340—171no—
411#336—171no—
412#336—171no—
413C2×C17—42no—
414C2×C17#232111yescharacteristic
415C2×C17#294311yescharacteristic
416C2×C17C4×#13711yescharacteristic
417C2×C17#319611yescharacteristic
418C2×C17#319711yescharacteristic
419C2×C17#321611yescharacteristic
420C2×C17#321911yescharacteristic
421D17—82no—
422C2×#41—174no—
423C2×#41—342no—
424C2×#41—681no—
425C2×#41—681no—
426C2×#41—681no—
427C2×#41—681no—
428C22×Q8—171no—
429C22×Q8C22×D1711yescharacteristic
430C22×D4—171no—
431C22×D4—341no—
432C23×C4—341no—
433C23×C4C22⋊D1711yescharacteristic
434C23×C4C22⋊D1711yescharacteristic
435C23×C4C22×D1711yescharacteristic
436C2×Q16—174no—
437C2×Q16—681no—
438C2×Q16—681no—
439C2×SD16—174no—
440C2×SD16—681no—
441C2×SD16—681no—
442C22×C8—171no—
443C22×C8—171no—
444C22×C8—171no—
445C22×C8—171no—
446C22⋊Q8—22no—
447C22⋊Q8C4×D1714yes—
448C4×Q8—41no—
449C4×Q8—41no—
450#117—681no—
451#117—681no—
452C2×C4⋊C4—21no—
453C2×C4⋊C4—21no—
454C2×C4⋊C4—21no—
455C2×C4⋊C4—171no—
456C2×C4⋊C4—171no—
457C2×C4⋊C4C22×D1711yescharacteristic
458C2×C4⋊C4C22×D1711yescharacteristic
459C2×C4⋊C4C22×D1711yescharacteristic
460C2×C22⋊C4—21no—
461C2×C22⋊C4—21no—
462C2×C22⋊C4—341no—
463C2×C22⋊C4—341no—
464C2×C22⋊C4—341no—
465C2×C22⋊C4—341no—
466C2×C22⋊C4—341no—
467C2×C42—21no—
468C2×C42—21no—
469C2×C42—41no—
470C2×C42—41no—
471C2×C42—341no—
472C2×C42C22⋊D1711yescharacteristic
473C2×C42C22⋊D1711yescharacteristic
474C2×C42C22×D1711yescharacteristic
475C2×C42C22×D1711yescharacteristic
476#107—681no—
477#106—681no—
478#103—174no—
479#103—681no—
480#103—681no—
481#103—681no—
482#103—681no—
483#102—174no—
484#102—681no—
485#102—681no—
486C22⋊C8—174no—
487C22⋊C8—342no—
488#97—681no—
489#97—681no—
490#95—21no—
491#95—21no—
492#95—21no—
493#95—21no—
494#95—21no—
495#95—341no—
496#95—341no—
497#95—341no—
498#95—341no—
499C17#2204811yescharacteristic, complemented, Sylow
500C24—341no—
501C24C2×C22⋊D1711yescharacteristic
502#41—684no—
503#41—684no—
504#41—684no—
505#41—684no—
506C2×Q8—21no—
507C2×Q8—21no—
508C2×Q8—21no—
509C2×Q8—21no—
510C2×Q8—21no—
511C2×Q8—172no—
512C2×Q8—341no—
513C2×Q8—341no—
514C2×Q8—341no—
515C2×Q8—341no—
516C2×Q8—341no—
517C2×Q8C2×C4×D1712yes—
518C2×D4—172no—
519C2×D4—344no—
520C2×D4—341no—
521C2×D4—341no—
522C2×D4—341no—
523C2×D4—341no—
524C2×D4—341no—
525C2×D4—682no—
526C2×D4—682no—
527C22×C4—21no—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—21no—
531C22×C4—21no—
532C22×C4—21no—
533C22×C4—22no—
534C22×C4—21no—
535C22×C4—21no—
536C22×C4—41no—
537C22×C4—41no—
538C22×C4—41no—
539C22×C4—41no—
540C22×C4—41no—
541C22×C4—341no—
542C22×C4—344no—
543C22×C4—341no—
544C22×C4—341no—
545C22×C4—682no—
546C22×C4—682no—
547C22×C4C2×C4×D1712yes—
548C22×C4#6325212yes—
549C22×C4C2×C22⋊D1711yescharacteristic
550C22×C4C2×C22⋊D1711yescharacteristic
551C22×C4C2×C22⋊D1711yescharacteristic
552C22×C4C2×C22⋊D1711yescharacteristic
553C22×C4C2×C22⋊D1711yescharacteristic
554C22×C4C23×D1711yescharacteristic
555Q16—684no—
556SD16—684no—
557C2×C8—172no—
558C2×C8—172no—
559C2×C8—341no—
560C2×C8—341no—
561C2×C8—341no—
562C2×C8—341no—
563C2×C8—341no—
564C2×C8—341no—
565C2×C8—341no—
566C2×C8—341no—
567C2×C8—341no—
568C2×C8—341no—
569C4⋊C4—21no—
570C4⋊C4—24no—
571C4⋊C4—21no—
572C4⋊C4—21no—
573C4⋊C4—21no—
574C4⋊C4—21no—
575C4⋊C4—42no—
576C4⋊C4—42no—
577C4⋊C4—341no—
578C4⋊C4—341no—
579C4⋊C4—341no—
580C4⋊C4—341no—
581C4⋊C4C2×C4×D1712yes—
582C22⋊C4—24no—
583C22⋊C4—42no—
584C22⋊C4—682no—
585C22⋊C4—682no—
586C22⋊C4—682no—
587C22⋊C4—682no—
588C22⋊C4—682no—
589C42—21no—
590C42—21no—
591C42—21no—
592C42—21no—
593C42—41no—
594C42—41no—
595C42—42no—
596C42—42no—
597C42—682no—
598C23—21no—
599C23—21no—
600C23—21no—
601C23—21no—
602C23—21no—
603C23—21no—
604C23—342no—
605C23—681no—
606C23—681no—
607C23—681no—
608C23—681no—
609C23—681no—
610C23—681no—
611C23C4×C22⋊D1712yes—
612C23C22×C22⋊D1711yescharacteristic
613Q8—22no—
614Q8—22no—
615Q8—41no—
616Q8—41no—
617Q8—342no—
618Q8—342no—
619Q8—681no—
620Q8—681no—
621D4—342no—
622D4—342no—
623D4—688no—
624D4—681no—
625D4—681no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—22no—
635C2×C4—22no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—21no—
645C2×C4—44no—
646C2×C4—44no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—41no—
652C2×C4—41no—
653C2×C4—41no—
654C2×C4—41no—
655C2×C4—41no—
656C2×C4—41no—
657C2×C4—342no—
658C2×C4—688no—
659C2×C4—681no—
660C2×C4—681no—
661C2×C4—681no—
662C2×C4—681no—
663C2×C4—681no—
664C2×C4—681no—
665C2×C4—681no—
666C2×C4—681no—
667C2×C4C4×C22⋊D1712yes—
668C2×C4#1058762812yes—
669C2×C4C22×C4×D1711yescharacteristic
670C2×C4C2×#6325211yescharacteristic
671C2×C4#1058769111yescharacteristic
672C2×C4#1058769111yescharacteristic
673C2×C4#1058769611yescharacteristic
674C2×C4#1058769611yescharacteristic
675C8—342no—
676C8—342no—
677C8—681no—
678C8—681no—
679C22—22no—
680C22—22no—
681C22—22no—
682C22—41no—
683C22—41no—
684C22—41no—
685C22—41no—
686C22—682no—
687C22—682no—
688C22—682no—
689C22—1361no—
690C22—1361no—
691C22—1361no—
692C22—1361no—
693C22C2×C4×C22⋊D1711yescharacteristic
694C22#1176336811yescharacteristic
695C22#1176337311yescharacteristic
696C22C2×#1058762811yescharacteristic
697C22#1176360711yescharacteristic
698C22#1176360711yescharacteristic
699C22#1176360711yescharacteristic
700C4—22no—
701C4—22no—
702C4—41no—
703C4—41no—
704C4—41no—
705C4—42no—
706C4—42no—
707C4—81no—
708C4—81no—
709C4—682no—
710C4—1361no—
711C4—1361no—
712C4#1176328111yescharacteristic
713C4#1176328111yescharacteristic
714C4#1176339211yescharacteristic
715C4#1176339211yescharacteristic
716C2—42no—
717C2—1362no—
718C2#1453143811yescharacteristic
719C2#1453758211yescharacteristic
720C2C4×#1058762811yescharacteristic
721C2#1453961411yescharacteristic
722C2#1453962111yescharacteristic
723C2#1453979111yescharacteristic
724C2#1453981711yescharacteristic
subgroupG/H
centerC23C22×C22⋊D17
commutatorC2×C4×C17C23×C4
FrattiniC22×C4C23×D17
FittingC4×C17×C22⋊Q8C2
socleC23×C17C22×D4
prime radicalC22×#63252C22
cosocleC22×C4×C17C24
hypercenterC4×C22⋊Q8D17
hypocenterC17#22048
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
3. #14529668C2semidirect
4. #14529654C2semidirect
5. #14529480C2semidirect
6. #14529473C2semidirect
7. #14529425C2semidirect
8. #14529411C2semidirect
9. #14529139C2semidirect
10. #14529125C2semidirect
11. #14529097C2semidirect
12. #14528981C2semidirect
14. #14528546C2semidirect
15. C4×C17×C22⋊Q8C2semidirect
20. #11762969C4semidirect
97. C2×#63231C2×C4semidirect
100. C2×#63230C2×C4semidirect
129. #10587481C2×C4semidirect
132. #10587480C2×C4semidirect
318. C4×C22⋊Q8D17semidirect
499. C17#22048semidirect

Maximal subgroups

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

subgroupindex
C2×#117629692
#145312742
#145296682
#145296542
#145294802
#145294732
#145294252
#145294112
#145291392
#145291252
#145290972
#145289812
#145287222
#145285462
C4×C17×C22⋊Q82
#2204817