Finite Group Databasebeta

← #17045689

Subgroups — #17045689

Order 4352.

976 conjugacy classes of subgroups.

The subgroup lattice has 722 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11762947C211yesmaximal, characteristic
2#14531368C211yesmaximal, characteristic, complemented
3#14529664C211yesmaximal, characteristic, complemented
4#14529637C211yesmaximal, characteristic, complemented
5#14529473C211yesmaximal, characteristic, complemented
6#14529459C211yesmaximal, characteristic, complemented
7#14529425C211yesmaximal, characteristic, complemented
8#14529418C211yesmaximal, characteristic, complemented
9#14529118C211yesmaximal, characteristic, complemented
10#14529118C211yesmaximal, characteristic, complemented
11#14529107C211yesmaximal, characteristic
12#14528981C211yesmaximal, characteristic, complemented
13#14528718C211yesmaximal, characteristic, complemented
14#14528550C211yesmaximal, characteristic, complemented
15C17×#2324C211yesmaximal, characteristic
16C23×Dic34C2211yescharacteristic
17C22×#63229C2211yescharacteristic
18C22×#63229C2211yescharacteristic
19C2×#10587612C2211yescharacteristic
20#11762947C418yescomplemented
21C2×#10587478C2211yescharacteristic
22C2×#10587479C2211yescharacteristic
23C2×#10587481C2211yescharacteristic
24C2×#10587481C2211yescharacteristic
25C2×#10587481C2211yescharacteristic
26C2×#10587481C2211yescharacteristic
27C2×#10587481C2211yescharacteristic
28C2×#10587481C2211yescharacteristic
29C2×#10587503C2211yescharacteristic
30C2×#10587503C2211yescharacteristic
31C2×C22⋊#3622C2211yescharacteristic
32C2×C22⋊#3622C2211yescharacteristic
33C2×#10587474C2211yescharacteristic
34C2×C4×#3622C2211yescharacteristic
35#11762715C2211yescharacteristic
36#11762715C2211yescharacteristic
37#11762715C2211yescharacteristic
38#11762715C2211yescharacteristic
39#11762714—21no—
40#11762714—21no—
41#11762670—21no—
42#11762670—21no—
43#11762571C2211yescharacteristic
44#11762571C2211yescharacteristic
45#11762571C2211yescharacteristic
46#11762571C2211yescharacteristic
47#11762564C2211yescharacteristic
48#11762564C2211yescharacteristic
49C2×C17×#121C2211yescharacteristic
50C2×C4×D4×C17C2211yescharacteristic
51C2×C17×#117C2211yescharacteristic
52C17×#390—21no—
53C17×#390C2211yescharacteristic
54C17×#389C2211yescharacteristic
55C17×#388—21no—
56C17×#386—21no—
57C17×#385—21no—
58C17×#380C2211yescharacteristic
59C4×C4⋊C4×C17C2211yescharacteristic
60C22×D4×C17—21no—
61C22×D4×C17C2311yescharacteristic
62C23×C4×C17—21no—
63C23×C4×C17C2311yescharacteristic
64C23×Dic17—21no—
65C22×Dic34—21no—
66C22×Dic34—22no—
67C22×Dic34—41no—
68C22×Dic34—41no—
69C22×Dic34—41no—
70C22×Dic34—41no—
71C22×Dic34C2×C414yescomplemented
72C22×Dic34C2311yescharacteristic
73C22×Dic34C2311yescharacteristic
74C17×#121—22no—
75C17×#121C2×C414yes—
76C4×D4×C17—41no—
77C4×D4×C17—41no—
78C17×#117—41no—
79C17×#117—41no—
80C2×C4⋊C4×C17—21no—
81C2×C4⋊C4×C17D411yescharacteristic
82C2×C4⋊C4×C17D411yescharacteristic
83C2×C4⋊C4×C17C2311yescharacteristic
84C2×C4⋊C4×C17C2311yescharacteristic
85C2×C4⋊C4×C17C2311yescharacteristic
86C2×C22⋊C4×C17—21no—
87C2×C22⋊C4×C17—21no—
88C2×C22⋊C4×C17—21no—
89C2×C22⋊C4×C17—21no—
90C2×C22⋊C4×C17—21no—
91C2×C22⋊C4×C17D411yescharacteristic
92C2×C22⋊C4×C17D411yescharacteristic
93C2×C42×C17—21no—
94C2×C42×C17C2311yescharacteristic
95C2×C42×C17C2311yescharacteristic
96C2×C22⋊Dic17—21no—
97C2×#63229—41no—
98C2×#63229—41no—
99C2×#63229—41no—
100C2×#63229—41no—
101C2×#63229C2×C414yes—
102C2×#63229C2×C414yes—
103#10587612—41no—
104#10587612—41no—
105C2×C4⋊Dic17C2311yescharacteristic
106C2×C4⋊Dic17C2311yescharacteristic
107C2×C4×Dic17—21no—
108C22×#3622C2311yescharacteristic
109C22×#3622C2311yescharacteristic
110C22×#3622C2311yescharacteristic
111C22×#3622C2311yescharacteristic
112C17×#95—21no—
113C17×#95—21no—
114C17×#95—21no—
115#10587503—41no—
116#10587503—41no—
117#10587502—21no—
118#10587502—21no—
119#10587502—21no—
120#10587502—21no—
121#10587502—21no—
122#10587502—21no—
123#10587502—21no—
124#10587502—21no—
125C22⋊#3622—22no—
126C22⋊#3622C2×C414yescomplemented
127#10587481—41no—
128#10587481—41no—
129#10587481—41no—
130#10587481—41no—
131#10587481C2×C414yescomplemented
132#10587481C2×C414yescomplemented
133#10587479—41no—
134#10587478—41no—
135#10587474—41no—
136C4×#3622—41no—
137C24×C17—21no—
138C24×C17C2×D411yescharacteristic
139C2×D4×C17—24no—
140C2×D4×C17—21no—
141C2×D4×C17—21no—
142C2×D4×C17—21no—
143C2×D4×C17—21no—
144C2×D4×C17—21no—
145C2×D4×C17—81no—
146C2×D4×C17—81no—
147C2×D4×C17C22×C412yes—
148C22×C4×C17—21no—
149C22×C4×C17—21no—
150C22×C4×C17—21no—
151C22×C4×C17—21no—
152C22×C4×C17—21no—
153C22×C4×C17—21no—
154C22×C4×C17—21no—
155C22×C4×C17—42no—
156C22×C4×C17—81no—
157C22×C4×C17—81no—
158C22×C4×C17C22×C412yes—
159C22×C4×C17C2×D411yescharacteristic
160C22×C4×C17C2×D411yescharacteristic
161C22×C4×C17C2×D411yescharacteristic
162C22×C4×C17C2×D411yescharacteristic
163C22×C4×C17C2×D411yescharacteristic
164C22×C4×C17#4112yes—
165C22×C4×C17C2411yescharacteristic
166C22×Dic17—24no—
167C22×Dic17—21no—
168C22×Dic17—21no—
169C22×Dic17—21no—
170C22×Dic17—21no—
171C22×Dic17—42no—
172C22×Dic17—42no—
173C2×Dic34—21no—
174C2×Dic34—21no—
175C2×Dic34—21no—
176C2×Dic34—21no—
177C2×Dic34—21no—
178C2×Dic34—21no—
179C2×Dic34—21no—
180C2×Dic34—21no—
181C2×Dic34—24no—
182C2×Dic34—21no—
183C2×Dic34—21no—
184C2×Dic34—44no—
185C2×Dic34—44no—
186C2×Dic34—42no—
187C2×Dic34—42no—
188C2×Dic34—44no—
189C2×Dic34—44no—
190C2×Dic34C22×C412yes—
191C2×Dic34C22×C412yes—
192C4⋊C4×C17—21no—
193C4⋊C4×C17—21no—
194C4⋊C4×C17—21no—
195C4⋊C4×C17—21no—
196C4⋊C4×C17—21no—
197C4⋊C4×C17—41no—
198C4⋊C4×C17—41no—
199C4⋊C4×C17—81no—
200C4⋊C4×C17C22×C412yes—
201C22⋊C4×C17—24no—
202C22⋊C4×C17—41no—
203C22⋊C4×C17—41no—
204C22⋊C4×C17—42no—
205C22⋊C4×C17—81no—
206C22⋊C4×C17—81no—
207C22⋊C4×C17—81no—
208C42×C17—21no—
209C42×C17—21no—
210C42×C17—21no—
211C42×C17—21no—
212C42×C17—81no—
213C22⋊Dic17—42no—
214#63229—44no—
215#63229—44no—
216C4⋊Dic17—21no—
217C4⋊Dic17—21no—
218C4⋊Dic17—21no—
219C4⋊Dic17—21no—
220C4×Dic17—42no—
221C2×#3622—21no—
222C2×#3622—21no—
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×#3622C22×C412yes—
232C2×#3622C22×C412yes—
233#22058—171nomaximal, Sylow
234C23×C17—21no—
235C23×C17—21no—
236C23×C17—21no—
237C23×C17—21no—
238C23×C17—21no—
239C23×C17—21no—
240C23×C17—22no—
241C23×C17—41no—
242C23×C17—41no—
243C23×C17—41no—
244C23×C17—41no—
245C23×C17—41no—
246C23×C17—41no—
247C23×C17C4×D412yes—
248C23×C17C22×D411yescharacteristic
249D4×C17—22no—
250D4×C17—22no—
251D4×C17—41no—
252D4×C17—41no—
253D4×C17—84no—
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—21no—
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—21no—
269C2×C4×C17—21no—
270C2×C4×C17—21no—
271C2×C4×C17—21no—
272C2×C4×C17—21no—
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×C17—41no—
281C2×C4×C17—84no—
282C2×C4×C17C4×D412yes—
283C2×C4×C17C23×C411yescharacteristic
284C2×C4×C17C2×#4111yescharacteristic
285C2×C4×C17H(5,𝔽2)11yescharacteristic
286C2×C4×C17H(5,𝔽2)11yescharacteristic
287C2×C4×C17H(5,𝔽2)11yescharacteristic
288C2×C4×C17H(5,𝔽2)11yescharacteristic
289C2×Dic17—22no—
290C2×Dic17—22no—
291C2×Dic17—48no—
292C2×Dic17—41no—
293C2×Dic17—41no—
294C2×Dic17—41no—
295C2×Dic17—41no—
296C2×Dic17—41no—
297C2×Dic17—41no—
298C2×Dic17—41no—
299C2×Dic17—41no—
300C2×Dic17—41no—
301C2×Dic17—41no—
302Dic34—22no—
303Dic34—22no—
304Dic34—22no—
305Dic34—22no—
306Dic34—48no—
307Dic34—41no—
308Dic34—41no—
309Dic34—41no—
310Dic34—41no—
311#3622—22no—
312#3622—22no—
313#3622—41no—
314#3622—41no—
315C2×#448—171no—
316#2324D1711yescharacteristic
317#2310—171no—
318#1973—171no—
319#1968—171no—
320#1935—171no—
321#1933—171no—
322#1928—171no—
323#1927—171no—
324#1877—171no—
325#1877—171no—
326#1875—171no—
327#1854—171no—
328#1787—171no—
329#1750—171no—
330C22×C17—22no—
331C22×C17—22no—
332C22×C17—22no—
333C22×C17—41no—
334C22×C17—41no—
335C22×C17—41no—
336C22×C17—41no—
337C22×C17—42no—
338C22×C17—42no—
339C22×C17—42no—
340C22×C17—81no—
341C22×C17—81no—
342C22×C17—81no—
343C22×C17—81no—
344C22×C17C2×C4×D411yescharacteristic
345C22×C17#53411yescharacteristic
346C22×C17#53511yescharacteristic
347C22×C17#57711yescharacteristic
348C22×C17#57711yescharacteristic
349C22×C17#57711yescharacteristic
350C22×C17#57811yescharacteristic
351C4×C17—22no—
352C4×C17—41no—
353C4×C17—41no—
354C4×C17—41no—
355C4×C17—41no—
356C4×C17—42no—
357C4×C17—81no—
358C4×C17—81no—
359C4×C17#51811yescharacteristic
360C4×C17#51811yescharacteristic
361C4×C17#53811yescharacteristic
362C4×C17#53811yescharacteristic
363Dic17—42no—
364Dic17—42no—
365Dic17—81no—
366Dic17—81no—
367C23×Q8—171no—
368C22×SD16—171no—
369C22×SD16—171no—
370C2×#121C2×D1711yescharacteristic
371C2×C4×D4C2×D1711yescharacteristic
372C2×#117—171no—
373C2×#117C2×D1711yescharacteristic
374#448—178no—
375C2×#107—171no—
376C2×#106—171no—
377C2×#103—171no—
378C2×#103—171no—
379C2×#103—171no—
380C2×#103—171no—
381C2×#103—171no—
382C2×#103—171no—
383C2×#102—171no—
384C2×#102—171no—
385C2×C22⋊C8—171no—
386C2×C22⋊C8—171no—
387C2×#97—171no—
388C2×C4×C8—171no—
389#391—171no—
390#391—171no—
391#391—171no—
392#391—171no—
393#391—341no—
394#391—341no—
395#390—21no—
396#390C2×D1711yescharacteristic
397#389C2×D1711yescharacteristic
398#388—21no—
399#386—21no—
400#385—21no—
401#381—341no—
402#381—341no—
403#380C2×D1711yescharacteristic
404C4×C4⋊C4C2×D1711yescharacteristic
405#340—171no—
406#340—171no—
407#340—171no—
408#340—171no—
409#336—171no—
410#336—171no—
411C2×C17—42no—
412C2×C17—82no—
413C2×C17#232111yescharacteristic
414C2×C17#294711yescharacteristic
415C2×C17#294911yescharacteristic
416C2×C17#320011yescharacteristic
417C2×C17#320111yescharacteristic
418C2×C17#322111yescharacteristic
419C2×C17#322511yescharacteristic
420C22×Q8—174no—
421C22×Q8—171no—
422C22×Q8—171no—
423C22×Q8—342no—
424C22×Q8—341no—
425C22×Q8—681no—
426C22×Q8—681no—
427C22×Q8—681no—
428C22×Q8—681no—
429C22×D4—21no—
430C22×D4C22×D1711yescharacteristic
431C23×C4—21no—
432C23×C4—341no—
433C23×C4C22×D1711yescharacteristic
434C2×SD16—174no—
435C2×SD16—174no—
436C2×SD16—681no—
437C2×SD16—681no—
438C2×SD16—681no—
439C2×SD16—681no—
440C22×C8—171no—
441C22×C8—171no—
442C22×C8—171no—
443C22×C8—171no—
444#121—22no—
445#121C4×D1714yes—
446C4×D4—41no—
447C4×D4—41no—
448#117—41no—
449#117—41no—
450#117—681no—
451#117—681no—
452C2×C4⋊C4—21no—
453C2×C4⋊C4—171no—
454C2×C4⋊C4—171no—
455C2×C4⋊C4C22⋊D1711yescharacteristic
456C2×C4⋊C4C22⋊D1711yescharacteristic
457C2×C4⋊C4C22×D1711yescharacteristic
458C2×C4⋊C4C22×D1711yescharacteristic
459C2×C4⋊C4C22×D1711yescharacteristic
460C2×C22⋊C4—21no—
461C2×C22⋊C4—21no—
462C2×C22⋊C4—21no—
463C2×C22⋊C4—21no—
464C2×C22⋊C4—21no—
465C2×C22⋊C4—341no—
466C2×C22⋊C4C22⋊D1711yescharacteristic
467C2×C22⋊C4C22⋊D1711yescharacteristic
468C2×C42—21no—
469C2×C42—341no—
470C2×C42C22×D1711yescharacteristic
471C2×C42C22×D1711yescharacteristic
472#107—681no—
473#106—681no—
474#103—174no—
475#103—174no—
476#103—681no—
477#103—681no—
478#103—681no—
479#103—681no—
480#102—681no—
481#102—681no—
482C22⋊C8—174no—
483C22⋊C8—342no—
484#97—681no—
485C4×C8—681no—
486#95—21no—
487#95—21no—
488#95—21no—
489#95—341no—
490#95—341no—
491#95—341no—
492#95—341no—
493#95—341no—
494#95—341no—
495#95—341no—
496#95—341no—
497C17#2205811yescharacteristic, complemented, Sylow
498C24—21no—
499C24C2×C22⋊D1711yescharacteristic
500C2×Q8—172no—
501C2×Q8—172no—
502C2×Q8—341no—
503C2×Q8—341no—
504C2×Q8—344no—
505C2×Q8—341no—
506C2×Q8—341no—
507C2×Q8—341no—
508C2×Q8—341no—
509C2×Q8—341no—
510C2×Q8—341no—
511C2×Q8—341no—
512C2×Q8—341no—
513C2×Q8—684no—
514C2×Q8—684no—
515C2×Q8—682no—
516C2×Q8—682no—
517C2×Q8—684no—
518C2×Q8—684no—
519C2×D4—24no—
520C2×D4—21no—
521C2×D4—21no—
522C2×D4—21no—
523C2×D4—21no—
524C2×D4—21no—
525C2×D4—81no—
526C2×D4—81no—
527C2×D4C2×C4×D1712yes—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—21no—
531C22×C4—21no—
532C22×C4—21no—
533C22×C4—21no—
534C22×C4—21no—
535C22×C4—42no—
536C22×C4—81no—
537C22×C4—81no—
538C22×C4—341no—
539C22×C4—341no—
540C22×C4—344no—
541C22×C4—341no—
542C22×C4—341no—
543C22×C4—682no—
544C22×C4—682no—
545C22×C4C2×C4×D1712yes—
546C22×C4#6325212yes—
547C22×C4C2×C22⋊D1711yescharacteristic
548C22×C4C2×C22⋊D1711yescharacteristic
549C22×C4C2×C22⋊D1711yescharacteristic
550C22×C4C2×C22⋊D1711yescharacteristic
551C22×C4C2×C22⋊D1711yescharacteristic
552C22×C4C23×D1711yescharacteristic
553SD16—684no—
554SD16—684no—
555C2×C8—172no—
556C2×C8—172no—
557C2×C8—341no—
558C2×C8—341no—
559C2×C8—341no—
560C2×C8—341no—
561C2×C8—341no—
562C2×C8—341no—
563C2×C8—341no—
564C2×C8—341no—
565C2×C8—341no—
566C2×C8—341no—
567C4⋊C4—21no—
568C4⋊C4—21no—
569C4⋊C4—21no—
570C4⋊C4—21no—
571C4⋊C4—21no—
572C4⋊C4—41no—
573C4⋊C4—41no—
574C4⋊C4—81no—
575C4⋊C4—341no—
576C4⋊C4—341no—
577C4⋊C4—341no—
578C4⋊C4—341no—
579C4⋊C4C2×C4×D1712yes—
580C22⋊C4—24no—
581C22⋊C4—41no—
582C22⋊C4—41no—
583C22⋊C4—42no—
584C22⋊C4—81no—
585C22⋊C4—81no—
586C22⋊C4—81no—
587C22⋊C4—682no—
588C42—21no—
589C42—21no—
590C42—21no—
591C42—21no—
592C42—81no—
593C42—682no—
594C23—21no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—21no—
599C23—21no—
600C23—22no—
601C23—41no—
602C23—41no—
603C23—41no—
604C23—41no—
605C23—41no—
606C23—41no—
607C23C4×C22⋊D1712yes—
608C23C22×C22⋊D1711yescharacteristic
609Q8—342no—
610Q8—342no—
611Q8—342no—
612Q8—342no—
613Q8—688no—
614Q8—681no—
615Q8—681no—
616Q8—681no—
617Q8—681no—
618D4—22no—
619D4—22no—
620D4—41no—
621D4—41no—
622D4—84no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—22no—
626C2×C4—22no—
627C2×C4—22no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—84no—
651C2×C4—342no—
652C2×C4—342no—
653C2×C4—688no—
654C2×C4—681no—
655C2×C4—681no—
656C2×C4—681no—
657C2×C4—681no—
658C2×C4—681no—
659C2×C4—681no—
660C2×C4—681no—
661C2×C4—681no—
662C2×C4—681no—
663C2×C4—681no—
664C2×C4C4×C22⋊D1712yes—
665C2×C4C22×C4×D1711yescharacteristic
666C2×C4C2×#6325211yescharacteristic
667C2×C4#1058769111yescharacteristic
668C2×C4#1058769111yescharacteristic
669C2×C4#1058769611yescharacteristic
670C2×C4#1058769611yescharacteristic
671C8—342no—
672C8—342no—
673C8—681no—
674C8—681no—
675C22—22no—
676C22—22no—
677C22—22no—
678C22—41no—
679C22—41no—
680C22—41no—
681C22—41no—
682C22—42no—
683C22—42no—
684C22—42no—
685C22—81no—
686C22—81no—
687C22—81no—
688C22—81no—
689C22C2×C4×C22⋊D1711yescharacteristic
690C22#1176336811yescharacteristic
691C22#1176337311yescharacteristic
692C22#1176362011yescharacteristic
693C22#1176362011yescharacteristic
694C22#1176362011yescharacteristic
695C22#1176362411yescharacteristic
696C4—22no—
697C4—41no—
698C4—41no—
699C4—41no—
700C4—41no—
701C4—42no—
702C4—81no—
703C4—81no—
704C4—682no—
705C4—682no—
706C4—1361no—
707C4—1361no—
708C4#1176328111yescharacteristic
709C4#1176328111yescharacteristic
710C4#1176339211yescharacteristic
711C4#1176339211yescharacteristic
712C2—42no—
713C2—82no—
714C2#1453143811yescharacteristic
715C2#1453762311yescharacteristic
716C2#1453764111yescharacteristic
717C2#1453965611yescharacteristic
718C2#1453966011yescharacteristic
719C2#1453983911yescharacteristic
720C2#1453988711yescharacteristic
subgroupG/H
centerC23C22×C22⋊D17
commutatorC2×C4×C17C23×C4
FrattiniC22×C4C23×D17
FittingC17×#2324C2
socleC23×C17C22×D4
prime radicalC2×C17×#121C22
cosocleC22×C4×C17C24
hypercenter#2324D17
hypocenterC17#22058
LCSG ▷ C2×C4×C17 ▷ C2×C17 ▷ C17
UCSC1 ◁ C23 ◁ C2×#117 ◁ #2324

Complements

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

NH ≅ G/Ntype
2. #14531368C2semidirect
3. #14529664C2semidirect
4. #14529637C2semidirect
5. #14529473C2semidirect
6. #14529459C2semidirect
7. #14529425C2semidirect
8. #14529418C2semidirect
9. #14529118C2semidirect
10. #14529118C2semidirect
12. #14528981C2semidirect
13. #14528718C2semidirect
14. #14528550C2semidirect
20. #11762947C4semidirect
71. C22×Dic34C2×C4semidirect
126. C22⋊#3622C2×C4semidirect
131. #10587481C2×C4semidirect
132. #10587481C2×C4semidirect
497. C17#22058semidirect

Maximal subgroups

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

subgroupindex
C2×#117629472
#145313682
#145296642
#145296372
#145294732
#145294592
#145294252
#145294182
#145291182
#145291072
#145289812
#145287182
#145285502
C17×#23242
#2205817