Finite Group Databasebeta

← #17052514

Subgroups — #17052514

Order 4352.

1042 conjugacy classes of subgroups.

The subgroup lattice has 686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11762877C211yesmaximal, characteristic
2C2×#11762850C211yesmaximal, characteristic, complemented
3C22×#10587478C211yesmaximal, characteristic, complemented
4#14531709C211yesmaximal, characteristic
5#14531680C211yesmaximal, characteristic
6#14529551C211yesmaximal, characteristic, complemented
7#14529539C211yesmaximal, characteristic, complemented
8#14528984C211yesmaximal, characteristic, complemented
9#14528979C211yesmaximal, characteristic, complemented
10#14528970C211yesmaximal, characteristic, complemented
11#14528951C211yesmaximal, characteristic, complemented
12#14528816C211yesmaximal, characteristic, complemented
13#14528807C211yesmaximal, characteristic, complemented
14#14528680C211yesmaximal, characteristic, complemented
15C17×#1852C211yesmaximal, characteristic, complemented
16C22×#63218C2211yescharacteristic
17C23×#3622C2211yescharacteristic
18C2×C4×C22⋊D17C2211yescharacteristic
19C2×#10587567—21no—
20C2×#10587578C2211yescharacteristic
21C22×C4⋊Dic17C2211yescharacteristic
22C2×C4⋊C4×D17C2211yescharacteristic
23#11762877C418yescomplemented
24#11762850—24no—
25C2×#10587478—24no—
26C2×#10587478C2211yescharacteristic
27C2×#10587478C2211yescharacteristic
28C2×#10587478C2211yescharacteristic
29C2×#10587478C2211yescharacteristic
30C2×#10587488C2211yescharacteristic
31C2×#10587488C2211yescharacteristic
32C2×#10587479C2211yescharacteristic
33C2×#10587479C2211yescharacteristic
34C2×#10587485C2211yescharacteristic
35C2×#10587491C2211yescharacteristic
36C2×#10587486C2211yescharacteristic
37#11762706—21no—
38#11762699—21no—
39#11762690—21no—
40#11762688—21no—
41#11762683—21no—
42#11762681—21no—
43#11762678C2211yescharacteristic
44#11762674C2211yescharacteristic
45#11762669C2211yescharacteristic
46#11762666C2211yescharacteristic
47#11762666C2211yescharacteristic
48C4⋊C4×Dic17C2211yescharacteristic
49C4⋊C4×Dic17C2211yescharacteristic
50C4×C22⋊Dic17—21no—
51#11762572C2211yescharacteristic
52#11762572C2211yescharacteristic
53#11762571C2211yescharacteristic
54#11762571C2211yescharacteristic
55C22×C4⋊C4×C17C2211yescharacteristic
56C2×C17×#107C2211yescharacteristic
57C2×C17×#107C2211yescharacteristic
58C2×C17×C22⋊C8C2211yescharacteristic
59C17×#380C2211yescharacteristic
60C17×#340C2211yescharacteristic
61C17×#340C2211yescharacteristic
62C23×C4×C17—21no—
63C23×C4×C17C2311yescharacteristic
64C22×C22⋊D17D411yescharacteristic
65C23×Dic17—21no—
66C22×C4×D17—21no—
67C22×C4×D17C2311yescharacteristic
68C22×C8×C17C2311yescharacteristic
69C22×C8×C17C2311yescharacteristic
70C2×C4⋊C4×C17—22no—
71C2×C4⋊C4×C17—21no—
72C2×C4⋊C4×C17—41no—
73C2×C4⋊C4×C17C2311yescharacteristic
74C2×C4⋊C4×C17C2311yescharacteristic
75C2×C4⋊C4×C17C2311yescharacteristic
76C2×C4⋊C4×C17C2311yescharacteristic
77C2×C22⋊C4×C17—21no—
78C2×C22⋊Dic17—21no—
79C2×C22⋊Dic17D411yescharacteristic
80C4×C22⋊D17C2×C414yes—
81C4×C22⋊D17Q814yes—
82C2×#63227—21no—
83C2×#63227—21no—
84C2×#63227—21no—
85C2×#63227D411yescharacteristic
86C2×C4⋊Dic17—21no—
87C2×C4⋊Dic17—22no—
88C2×C4⋊Dic17—41no—
89C2×C4⋊Dic17C2311yescharacteristic
90C2×C4⋊Dic17C2311yescharacteristic
91C2×C4⋊Dic17C2311yescharacteristic
92C2×C4⋊Dic17C2311yescharacteristic
93C2×#63225—21no—
94C2×#63225—21no—
95C2×#63225—21no—
96C2×#63225D411yescharacteristic
97C2×C4×Dic17—21no—
98C2×C4×Dic17—21no—
99C2×C4×Dic17—21no—
100C2×C4×Dic17C2311yescharacteristic
101C22×#3622—22no—
102C22×#3622—22no—
103C22×#3622C2×C414yescomplemented
104C22×#3622C2311yescharacteristic
105C22×#3622C2311yescharacteristic
106C2×#63218—22no—
107C2×#63218—22no—
108C2×#63218C2×C414yescomplemented
109#10587578—22no—
110#10587578—41no—
111C4⋊C4×D17—22no—
112C4⋊C4×D17—41no—
113#10587567—44no—
114C17×#107—22no—
115C17×#107—41no—
116C17×C22⋊C8C2×C414yescomplemented
117C17×#95—21no—
118#10587502—21no—
119#10587502—21no—
120#10587502—21no—
121#10587502—21no—
122#10587502—21no—
123#10587502—21no—
124#10587502—21no—
125#10587491C2×C414yescomplemented
126#10587488—22no—
127#10587488—41no—
128#10587486C2×C414yescomplemented
129#10587485C2×C414yescomplemented
130#10587479—22no—
131#10587479—22no—
132#10587478—22no—
133#10587478—22no—
134#10587478—22no—
135#10587478D414yescomplemented
136C24×C17C2×D411yescharacteristic
137C23×D17C2×D411yescharacteristic
138C22×C4×C17—21no—
139C22×C4×C17—21no—
140C22×C4×C17—21no—
141C22×C4×C17—21no—
142C22×C4×C17—21no—
143C22×C4×C17—21no—
144C22×C4×C17—21no—
145C22×C4×C17—21no—
146C22×C4×C17—42no—
147C22×C4×C17—42no—
148C22×C4×C17—81no—
149C22×C4×C17C22×C412yes—
150C22×C4×C17C2×D411yescharacteristic
151C22×C4×C17C2×Q812yes—
152C22×C4×C17C2411yescharacteristic
153C2×C22⋊D17—22no—
154C2×C22⋊D17—22no—
155C2×C22⋊D17C4⋊C414yes—
156C22×Dic17—21no—
157C22×Dic17—21no—
158C22×Dic17—21no—
159C22×Dic17—21no—
160C22×Dic17—42no—
161C22×Dic17—42no—
162C22×Dic17—81no—
163C22×Dic17C2×D411yescharacteristic
164C22×Dic17C2×D411yescharacteristic
165C22×Dic17C2×D411yescharacteristic
166C2×C4×D17—21no—
167C2×C4×D17—21no—
168C2×C4×D17—21no—
169C2×C4×D17—21no—
170C2×C4×D17—42no—
171C2×C4×D17—42no—
172C2×C4×D17—81no—
173C2×C4×D17C22×C412yes—
174C2×C4×D17C2×Q812yes—
175C2×C8×C17—21no—
176C2×C8×C17—21no—
177C2×C8×C17—21no—
178C2×C8×C17—21no—
179C2×C8×C17C22×C412yes—
180C2×C8×C17C22×C412yes—
181C4⋊C4×C17—21no—
182C4⋊C4×C17—21no—
183C4⋊C4×C17—21no—
184C4⋊C4×C17—21no—
185C4⋊C4×C17—21no—
186C4⋊C4×C17—21no—
187C4⋊C4×C17—21no—
188C4⋊C4×C17—42no—
189C4⋊C4×C17C2×D412yes—
190C22⋊C4×C17—42no—
191C22⋊Dic17—42no—
192C22⋊Dic17C4⋊C414yes—
193#63227—42no—
194#63227—42no—
195#63227—81no—
196#63227C4⋊C414yes—
197C4⋊Dic17—21no—
198C4⋊Dic17—21no—
199C4⋊Dic17—21no—
200C4⋊Dic17—21no—
201C4⋊Dic17—21no—
202C4⋊Dic17—21no—
203C4⋊Dic17—21no—
204C4⋊Dic17—42no—
205C4⋊Dic17C2×D412yes—
206#63225—42no—
207#63225—42no—
208#63225—81no—
209#63225C4⋊C414yes—
210C4×Dic17—42no—
211C4×Dic17—42no—
212C4×Dic17—81no—
213C4×Dic17C22×C412yes—
214C4×Dic17C2×Q812yes—
215C2×#3622—21no—
216C2×#3622—21no—
217C2×#3622—28no—
218C2×#3622C22×C412yes—
219C2×#3622C22×C412yes—
220C2×#3622C2×D412yes—
221C2×#3622#4112yes—
222#63218—28no—
223#22661—171nomaximal, Sylow
224C23×C17—21no—
225C23×C17—21no—
226C23×C17—21no—
227C23×C17—21no—
228C23×C17C2×C4⋊C412yes—
229C23×C17AGL(1,ℤ/8)12yes—
230C23×C17#13712yes—
231C23×C17C22×D411yescharacteristic
232C22×D17—21no—
233C22×D17—21no—
234C22×D17—21no—
235C22×D17—21no—
236C22×D17—21no—
237C22×D17—21no—
238C22×D17C2×C4⋊C412yes—
239C2×C4×C17—21no—
240C2×C4×C17—21no—
241C2×C4×C17—22no—
242C2×C4×C17—22no—
243C2×C4×C17—22no—
244C2×C4×C17—22no—
245C2×C4×C17—22no—
246C2×C4×C17—41no—
247C2×C4×C17—41no—
248C2×C4×C17—41no—
249C2×C4×C17—41no—
250C2×C4×C17—41no—
251C2×C4×C17—41no—
252C2×C4×C17—41no—
253C2×C4×C17—41no—
254C2×C4×C17—41no—
255C2×C4×C17—41no—
256C2×C4×C17—41no—
257C2×C4×C17—84no—
258C2×C4×C17C2×C4⋊C412yes—
259C2×C4×C17C23×C411yescharacteristic
260C2×C4×C17C22×D411yescharacteristic
261C2×C4×C17C22×Q811yescharacteristic
262C2×C4×C17C2×#4111yescharacteristic
263C2×C4×C17H(5,𝔽2)11yescharacteristic
264C2×C4×C172−1+411yescharacteristic
265C22⋊D17—28no—
266C2×Dic17—21no—
267C2×Dic17—21no—
268C2×Dic17—21no—
269C2×Dic17—21no—
270C2×Dic17—21no—
271C2×Dic17—21no—
272C2×Dic17—22no—
273C2×Dic17—41no—
274C2×Dic17—41no—
275C2×Dic17—41no—
276C2×Dic17—41no—
277C2×Dic17—41no—
278C2×Dic17—41no—
279C2×Dic17—41no—
280C2×Dic17—41no—
281C2×Dic17—41no—
282C2×Dic17—41no—
283C2×Dic17—41no—
284C2×Dic17—84no—
285C2×Dic17C2×C4⋊C412yes—
286C2×Dic17C2×C4⋊C412yes—
287C2×Dic17C2×C4⋊C412yes—
288C4×D17—22no—
289C4×D17—22no—
290C4×D17—22no—
291C4×D17—22no—
292C4×D17—84no—
293C8×C17—22no—
294C8×C17—22no—
295#3622—22no—
296#3622C4×D414yescomplemented
297C2×#435—171no—
298C2×#428—171no—
299C22×#107—171no—
300#2352—171no—
301D4×C4⋊C4—171no—
302#1949—171no—
303#1947—171no—
304#1854—171no—
305#1853—171no—
306#1852—171no—
307#1852D1711yescharacteristic, complemented
308#1847—171no—
309#1809—171no—
310#1807—171no—
311#1776—171no—
312C22×C17—22no—
313C22×C17—22no—
314C22×C17—22no—
315C22×C17—22no—
316C22×C17—22no—
317C22×C17—22no—
318C22×C17#42814yescomplemented
319C22×C17C22×C4⋊C411yescharacteristic
320C22×C17D4211yescharacteristic
321C22×C17#54711yescharacteristic
322C22×C17C2×AGL(1,ℤ/8)11yescharacteristic
323C22×C17C2×#13711yescharacteristic
324C22×C17#57611yescharacteristic
325C22×C17#57811yescharacteristic
326C2×D17—22no—
327C2×D17—22no—
328C2×D17—22no—
329C2×D17—41no—
330C2×D17—41no—
331C2×D17—41no—
332C2×D17—41no—
333C4×C17—22no—
334C4×C17—42no—
335C4×C17—81no—
336C4×C17—81no—
337C4×C17—81no—
338C4×C17C2×C4×D411yescharacteristic
339C4×C17#52011yescharacteristic
340C4×C17D4×Q811yescharacteristic
341C4×C17#55411yescharacteristic
342Dic17—22no—
343Dic17—22no—
344Dic17—22no—
345Dic17—42no—
346Dic17—81no—
347Dic17—81no—
348Dic17—81no—
349C22×M16—171no—
350C23×C8—171no—
351C2×C4×D4—171no—
352C2×C4×D4—341no—
353C2×#117—171no—
354C22×C4⋊C4—171no—
355C22×C4⋊C4—171no—
356C22×C4⋊C4C2×D1711yescharacteristic
357#435—178no—
358#428—344no—
359C2×#107—171no—
360C2×#107—171no—
361C2×#107—171no—
362C2×#107—171no—
363C2×#107—344no—
364C2×#107C2×D1711yescharacteristic
365C2×#107C2×D1711yescharacteristic
366C2×#106—171no—
367C2×#106—171no—
368C2×#106—171no—
369C2×#106—171no—
370C2×C4⋊C8—171no—
371C2×C22⋊C8—171no—
372C2×C22⋊C8C2×D1711yescharacteristic
373C2×#97—171no—
374#389—341no—
375#388—341no—
376#387—341no—
377#386—341no—
378#385—341no—
379#385—341no—
380#384—171no—
381#382—171no—
382#380—171no—
383#380—171no—
384#380—171no—
385#380C2×D1711yescharacteristic
386C4×C4⋊C4—171no—
387C4×C4⋊C4—171no—
388C4×C22⋊C4—341no—
389#340—171no—
390#340—171no—
391#340—171no—
392#340—171no—
393#340C2×D1711yescharacteristic
394#340C2×D1711yescharacteristic
395C2×C17—24no—
396C2×C17D4×C4⋊C411yescharacteristic
397C2×C17C2×#42811yescharacteristic
398C2×C17#291311yescharacteristic
399C2×C17#326411yescharacteristic
400C2×C17#327011yescharacteristic
401C2×C17#334311yescharacteristic
402C2×C17#334611yescharacteristic
403D17—42no—
404C22×D4—171no—
405C23×C4—21no—
406C23×C4—171no—
407C23×C4—341no—
408C23×C4—341no—
409C23×C4C22×D1711yescharacteristic
410C2×M16—174no—
411C2×M16—342no—
412C2×M16—342no—
413C22×C8—171no—
414C22×C8—174no—
415C22×C8—171no—
416C22×C8—342no—
417C22×C8—342no—
418C22×C8C22×D1711yescharacteristic
419C22×C8C22×D1711yescharacteristic
420C4×D4—174no—
421C4×D4—174no—
422C4×D4—684no—
423#117—342no—
424#117—681no—
425C2×C4⋊C4—22no—
426C2×C4⋊C4—21no—
427C2×C4⋊C4—41no—
428C2×C4⋊C4—171no—
429C2×C4⋊C4—171no—
430C2×C4⋊C4—171no—
431C2×C4⋊C4—171no—
432C2×C4⋊C4—171no—
433C2×C4⋊C4—342no—
434C2×C4⋊C4—342no—
435C2×C4⋊C4—341no—
436C2×C4⋊C4—341no—
437C2×C4⋊C4—341no—
438C2×C4⋊C4—341no—
439C2×C4⋊C4—681no—
440C2×C4⋊C4—681no—
441C2×C4⋊C4C22×D1711yescharacteristic
442C2×C4⋊C4C22×D1711yescharacteristic
443C2×C4⋊C4C22×D1711yescharacteristic
444C2×C4⋊C4C22×D1711yescharacteristic
445C2×C22⋊C4—21no—
446C2×C22⋊C4—171no—
447C2×C22⋊C4—171no—
448C2×C22⋊C4—341no—
449C2×C22⋊C4—341no—
450C2×C22⋊C4—341no—
451C2×C22⋊C4—341no—
452C2×C42—171no—
453C2×C42—341no—
454C2×C42—341no—
455C2×C42—341no—
456#107—22no—
457#107—41no—
458#107—174no—
459#107—342no—
460#107—342no—
461#107—342no—
462#106—342no—
463#106—342no—
464#106—342no—
465#106—681no—
466C4⋊C8—174no—
467C22⋊C8—174no—
468C22⋊C8C4×D1714yescomplemented
469#97—174no—
470#95—21no—
471#95—341no—
472#95—341no—
473#95—341no—
474#95—341no—
475#95—341no—
476#95—341no—
477#95—341no—
478C17#2266111yescharacteristic, complemented, Sylow
479C24—171no—
480C24D4×D1711yescharacteristic
481C2×D4—174no—
482C2×D4—342no—
483C2×D4—342no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—42no—
493C22×C4—42no—
494C22×C4—81no—
495C22×C4—171no—
496C22×C4—171no—
497C22×C4—171no—
498C22×C4—172no—
499C22×C4—172no—
500C22×C4—341no—
501C22×C4—341no—
502C22×C4—341no—
503C22×C4—341no—
504C22×C4—341no—
505C22×C4—341no—
506C22×C4—341no—
507C22×C4—341no—
508C22×C4—682no—
509C22×C4—682no—
510C22×C4—682no—
511C22×C4—682no—
512C22×C4—1361no—
513C22×C4—1361no—
514C22×C4C2×C4×D1712yes—
515C22×C4D4×D1711yescharacteristic
516C22×C4Q8×D1712yes—
517C22×C4C23×D1711yescharacteristic
518M16—348no—
519C2×C8—21no—
520C2×C8—21no—
521C2×C8—21no—
522C2×C8—21no—
523C2×C8—172no—
524C2×C8—172no—
525C2×C8—172no—
526C2×C8—172no—
527C2×C8—348no—
528C2×C8—341no—
529C2×C8—341no—
530C2×C8C2×C4×D1712yes—
531C2×C8C2×C4×D1712yes—
532C4⋊C4—21no—
533C4⋊C4—21no—
534C4⋊C4—21no—
535C4⋊C4—21no—
536C4⋊C4—21no—
537C4⋊C4—21no—
538C4⋊C4—21no—
539C4⋊C4—42no—
540C4⋊C4—174no—
541C4⋊C4—172no—
542C4⋊C4—341no—
543C4⋊C4—341no—
544C4⋊C4—341no—
545C4⋊C4—341no—
546C4⋊C4—341no—
547C4⋊C4—341no—
548C4⋊C4—341no—
549C4⋊C4—682no—
550C4⋊C4—682no—
551C4⋊C4—682no—
552C4⋊C4—1361no—
553C4⋊C4D4×D1712yes—
554C22⋊C4—42no—
555C22⋊C4—174no—
556C22⋊C4—174no—
557C22⋊C4—682no—
558C22⋊C4—682no—
559C22⋊C4—682no—
560C22⋊C4—1361no—
561C42—172no—
562C42—172no—
563C42—682no—
564C42—682no—
565C42—1361no—
566C23—21no—
567C23—21no—
568C23—21no—
569C23—21no—
570C23—172no—
571C23—341no—
572C23—341no—
573C23—341no—
574C23—341no—
575C23—341no—
576C23—341no—
577C23C4⋊C4×D1712yes—
578C23#1058759712yes—
579C23#1058760412yes—
580C23C2×D4×D1711yescharacteristic
581D4—348no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—22no—
585C2×C4—22no—
586C2×C4—22no—
587C2×C4—22no—
588C2×C4—22no—
589C2×C4—41no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—41no—
599C2×C4—41no—
600C2×C4—84no—
601C2×C4—172no—
602C2×C4—172no—
603C2×C4—172no—
604C2×C4—341no—
605C2×C4—341no—
606C2×C4—341no—
607C2×C4—341no—
608C2×C4—341no—
609C2×C4—341no—
610C2×C4—342no—
611C2×C4—342no—
612C2×C4—342no—
613C2×C4—342no—
614C2×C4—342no—
615C2×C4—681no—
616C2×C4—681no—
617C2×C4—681no—
618C2×C4—681no—
619C2×C4—681no—
620C2×C4—681no—
621C2×C4—681no—
622C2×C4—681no—
623C2×C4—681no—
624C2×C4—681no—
625C2×C4—681no—
626C2×C4—1364no—
627C2×C4—1364no—
628C2×C4C4⋊C4×D1712yes—
629C2×C4C22×C4×D1711yescharacteristic
630C2×C4C2×D4×D1711yescharacteristic
631C2×C4#1058769111yescharacteristic
632C2×C4C2×Q8×D1711yescharacteristic
633C2×C4#41×D1711yescharacteristic
634C2×C4#1058769711yescharacteristic
635C8—22no—
636C8—22no—
637C8—174no—
638C8—342no—
639C22—22no—
640C22—22no—
641C22—22no—
642C22—22no—
643C22—22no—
644C22—22no—
645C22—342no—
646C22—342no—
647C22—342no—
648C22—681no—
649C22—681no—
650C22—681no—
651C22—681no—
652C22#1176285014yescomplemented
653C22C2×C4⋊C4×D1711yescharacteristic
654C22#1176344111yescharacteristic
655C22#1176345711yescharacteristic
656C22C2×#1058759711yescharacteristic
657C22C2×#1058760411yescharacteristic
658C22#1176361311yescharacteristic
659C22#1176362511yescharacteristic
660C4—22no—
661C4—42no—
662C4—81no—
663C4—81no—
664C4—81no—
665C4—342no—
666C4—342no—
667C4—342no—
668C4—682no—
669C4—1361no—
670C4—1361no—
671C4—1361no—
672C4C4×D4×D1711yescharacteristic
673C4#1176328811yescharacteristic
674C4#1176347211yescharacteristic
675C4#1176351311yescharacteristic
676C2—24no—
677C2—682no—
678C2#1453168211yescharacteristic
679C2C2×#1176285011yescharacteristic
680C2#1453738311yescharacteristic
681C2#1454025711yescharacteristic
682C2#1454035811yescharacteristic
683C2#1454122811yescharacteristic
684C2#1454127311yescharacteristic
subgroupG/H
centerC23C2×D4×D17
commutatorC2×C4×C17C23×C4
FrattiniC22×C4C23×D17
FittingC17×#1852C2
socleC23×C17C22×D4
prime radicalC22×C22⋊D17D4
cosocleC22×C4×C17C24
hypercenter#1852D17
hypocenterC17#22661
LCSG ▷ C2×C4×C17 ▷ C2×C17 ▷ C17
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1852

Complements

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

NH ≅ G/Ntype
2. C2×#11762850C2semidirect
3. C22×#10587478C2semidirect
6. #14529551C2semidirect
7. #14529539C2semidirect
8. #14528984C2semidirect
9. #14528979C2semidirect
10. #14528970C2semidirect
11. #14528951C2semidirect
12. #14528816C2semidirect
13. #14528807C2semidirect
14. #14528680C2semidirect
15. C17×#1852C2semidirect
23. #11762877C4semidirect
103. C22×#3622C2×C4semidirect
108. C2×#63218C2×C4semidirect
116. C17×C22⋊C8C2×C4semidirect
125. #10587491C2×C4semidirect
128. #10587486C2×C4semidirect
129. #10587485C2×C4semidirect
135. #10587478D4semidirect
296. #3622C4×D4semidirect
307. #1852D17semidirect
318. C22×C17#428semidirect
468. C22⋊C8C4×D17semidirect
478. C17#22661semidirect
652. C22#11762850semidirect

Maximal subgroups

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

subgroupindex
C2×#117628772
C2×#117628502
C22×#105874782
#145317092
#145316802
#145295512
#145295392
#145289842
#145289792
#145289702
#145289512
#145288162
#145288072
#145286802
C17×#18522
#2266117