Finite Group Databasebeta

← #17052472

Subgroups — #17052472

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×#11762881C211yesmaximal, characteristic
2C2×#11762849C211yesmaximal, characteristic, complemented
3C22×#10587479C211yesmaximal, characteristic, complemented
4#14531713C211yesmaximal, characteristic
5#14529552C211yesmaximal, characteristic, complemented
6#14529545C211yesmaximal, characteristic, complemented
7#14528981C211yesmaximal, characteristic, complemented
8#14528977C211yesmaximal, characteristic, complemented
9#14528976C211yesmaximal, characteristic, complemented
10#14528972C211yesmaximal, characteristic, complemented
11#14528950C211yesmaximal, characteristic, complemented
12#14528815C211yesmaximal, characteristic, complemented
13#14528811C211yesmaximal, characteristic, complemented
14#14528682C211yesmaximal, characteristic, complemented
15D4×C4⋊C4×C17C211yesmaximal, characteristic
16C22×#63223C2211yescharacteristic
17C23×#3622C2211yescharacteristic
18C2×#10587612C2211yescharacteristic
19C22×C4⋊Dic17C2211yescharacteristic
20#11762881C418yescomplemented
21#11762849—24no—
22C2×#10587478C2211yescharacteristic
23C2×#10587478C2211yescharacteristic
24C2×#10587478C2211yescharacteristic
25C2×#10587478C2211yescharacteristic
26C2×#10587479—24no—
27C2×#10587479C2211yescharacteristic
28C2×#10587479C2211yescharacteristic
29C2×#10587479C2211yescharacteristic
30C2×#10587479C2211yescharacteristic
31C2×#10587479C2211yescharacteristic
32C2×#10587479C2211yescharacteristic
33C2×C4⋊#3622C2211yescharacteristic
34C2×C22⋊#3622C2211yescharacteristic
35C2×C22⋊#3622C2211yescharacteristic
36C2×#10587474C2211yescharacteristic
37#11762702—21no—
38#11762695—21no—
39#11762689—21no—
40#11762675C2211yescharacteristic
41#11762669C2211yescharacteristic
42#11762669C2211yescharacteristic
43C4×C4⋊Dic17C2211yescharacteristic
44C22⋊C4×Dic17—21no—
45#11762571C2211yescharacteristic
46#11762571C2211yescharacteristic
47#11762571C2211yescharacteristic
48#11762571C2211yescharacteristic
49#11762571C2211yescharacteristic
50#11762571C2211yescharacteristic
51C2×C4×D4×C17—21no—
52C2×C4×D4×C17C2211yescharacteristic
53C22×C4⋊C4×C17C2211yescharacteristic
54C22×C4⋊C4×C17C2211yescharacteristic
55C17×#389—21no—
56C17×#385—21no—
57C17×#385—21no—
58C17×#384C2211yescharacteristic
59C17×#380C2211yescharacteristic
60C17×#380C2211yescharacteristic
61C4×C4⋊C4×C17C2211yescharacteristic
62C22×D4×C17D411yescharacteristic
63C23×C4×C17—21no—
64C23×C4×C17—21no—
65C23×C4×C17C2311yescharacteristic
66C23×C4×C17C2311yescharacteristic
67C23×Dic17—21no—
68C4×D4×C17—44no—
69C4×D4×C17C2×C414yes—
70C4×D4×C17Q814yes—
71C2×C4⋊C4×C17—22no—
72C2×C4⋊C4×C17—22no—
73C2×C4⋊C4×C17—21no—
74C2×C4⋊C4×C17—21no—
75C2×C4⋊C4×C17—21no—
76C2×C4⋊C4×C17—21no—
77C2×C4⋊C4×C17—41no—
78C2×C4⋊C4×C17—41no—
79C2×C4⋊C4×C17D411yescharacteristic
80C2×C4⋊C4×C17C2311yescharacteristic
81C2×C4⋊C4×C17C2311yescharacteristic
82C2×C4⋊C4×C17C2311yescharacteristic
83C2×C4⋊C4×C17C2311yescharacteristic
84C2×C22⋊C4×C17—21no—
85C2×C22⋊C4×C17—21no—
86C2×C22⋊C4×C17D411yescharacteristic
87C2×C22⋊C4×C17D411yescharacteristic
88C2×C42×C17—21no—
89C2×C42×C17C2311yescharacteristic
90C2×C22⋊Dic17—21no—
91C2×C22⋊Dic17—21no—
92C2×C22⋊Dic17—21no—
93#10587612—22no—
94#10587612—41no—
95C2×C4⋊Dic17—21no—
96C2×C4⋊Dic17—22no—
97C2×C4⋊Dic17—41no—
98C2×C4⋊Dic17C2311yescharacteristic
99C2×C4⋊Dic17C2311yescharacteristic
100C2×C4⋊Dic17C2311yescharacteristic
101C2×C4⋊Dic17C2311yescharacteristic
102C2×C4×Dic17—21no—
103C2×C4×Dic17—21no—
104C2×#63223—22no—
105C2×#63223—22no—
106C2×#63223C2×C414yescomplemented
107C22×#3622—22no—
108C22×#3622—22no—
109C22×#3622C2×C414yescomplemented
110C22×#3622C2311yescharacteristic
111C22×#3622C2311yescharacteristic
112C22×#3622C2311yescharacteristic
113C22×#3622C2311yescharacteristic
114C17×#95—21no—
115C17×#95—21no—
116C17×#95—21no—
117#10587502—21no—
118#10587502—21no—
119#10587502—21no—
120#10587502—21no—
121#10587502—21no—
122C22⋊#3622C2×C414yescomplemented
123C22⋊#3622C2×C414yescomplemented
124#10587479—22no—
125#10587479—22no—
126#10587479—22no—
127#10587479—22no—
128#10587479—41no—
129#10587479D414yescomplemented
130#10587478—22no—
131#10587478—22no—
132#10587478—22no—
133#10587478—41no—
134C4⋊#3622C2×C414yescomplemented
135#10587474C2×C414yescomplemented
136C24×C17C2×D411yescharacteristic
137C24×C17C2×D411yescharacteristic
138C2×D4×C17—22no—
139C2×D4×C17—22no—
140C2×D4×C17C4⋊C414yes—
141C22×C4×C17—21no—
142C22×C4×C17—21no—
143C22×C4×C17—21no—
144C22×C4×C17—21no—
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—21no—
152C22×C4×C17—21no—
153C22×C4×C17—42no—
154C22×C4×C17—42no—
155C22×C4×C17—42no—
156C22×C4×C17—42no—
157C22×C4×C17—81no—
158C22×C4×C17—81no—
159C22×C4×C17C22×C412yes—
160C22×C4×C17C22×C412yes—
161C22×C4×C17C2×D411yescharacteristic
162C22×C4×C17C2×D411yescharacteristic
163C22×C4×C17C2×D411yescharacteristic
164C22×C4×C17C2×D411yescharacteristic
165C22×C4×C17C2×Q812yes—
166C22×C4×C17C2×Q812yes—
167C22×C4×C17C2411yescharacteristic
168C22×Dic17—21no—
169C22×Dic17—21no—
170C22×Dic17—21no—
171C22×Dic17—21no—
172C22×Dic17—42no—
173C22×Dic17—42no—
174C22×Dic17—81no—
175C4⋊C4×C17—21no—
176C4⋊C4×C17—21no—
177C4⋊C4×C17—21no—
178C4⋊C4×C17—21no—
179C4⋊C4×C17—21no—
180C4⋊C4×C17—21no—
181C4⋊C4×C17—21no—
182C4⋊C4×C17—42no—
183C4⋊C4×C17—42no—
184C4⋊C4×C17—42no—
185C4⋊C4×C17—81no—
186C4⋊C4×C17C4⋊C414yes—
187C4⋊C4×C17C2×D412yes—
188C22⋊C4×C17—42no—
189C22⋊C4×C17—42no—
190C22⋊C4×C17C4⋊C414yes—
191C22⋊C4×C17C4⋊C414yes—
192C42×C17—42no—
193C42×C17C22×C412yes—
194C42×C17C2×Q812yes—
195C22⋊Dic17—42no—
196C22⋊Dic17—42no—
197C22⋊Dic17—81no—
198C4⋊Dic17—21no—
199C4⋊Dic17—21no—
200C4⋊Dic17—21no—
201C4⋊Dic17—21no—
202C4⋊Dic17—21no—
203C4⋊Dic17—21no—
204C4⋊Dic17—21no—
205C4⋊Dic17—42no—
206C4⋊Dic17C2×D412yes—
207C4×Dic17—42no—
208C4×Dic17—81no—
209#63223—28no—
210C2×#3622—21no—
211C2×#3622—21no—
212C2×#3622—21no—
213C2×#3622—21no—
214C2×#3622—21no—
215C2×#3622—21no—
216C2×#3622—28no—
217C2×#3622C22×C412yes—
218C2×#3622C22×C412yes—
219C2×#3622C22×C412yes—
220C2×#3622C22×C412yes—
221C2×#3622C2×D412yes—
222C2×#3622#4112yes—
223#22659—171nomaximal, Sylow
224C23×C17—21no—
225C23×C17—21no—
226C23×C17—21no—
227C23×C17—21no—
228C23×C17—21no—
229C23×C17—21no—
230C23×C17—21no—
231C23×C17—21no—
232C23×C17—21no—
233C23×C17—21no—
234C23×C17C2×C4⋊C412yes—
235C23×C17C2×C4⋊C412yes—
236C23×C17AGL(1,ℤ/8)12yes—
237C23×C17#13712yes—
238C23×C17C22×D411yescharacteristic
239D4×C17—28no—
240C2×C4×C17—21no—
241C2×C4×C17—21no—
242C2×C4×C17—21no—
243C2×C4×C17—21no—
244C2×C4×C17—21no—
245C2×C4×C17—21no—
246C2×C4×C17—21no—
247C2×C4×C17—21no—
248C2×C4×C17—22no—
249C2×C4×C17—22no—
250C2×C4×C17—22no—
251C2×C4×C17—22no—
252C2×C4×C17—22no—
253C2×C4×C17—22no—
254C2×C4×C17—22no—
255C2×C4×C17—22no—
256C2×C4×C17—22no—
257C2×C4×C17—41no—
258C2×C4×C17—41no—
259C2×C4×C17—41no—
260C2×C4×C17—41no—
261C2×C4×C17—41no—
262C2×C4×C17—41no—
263C2×C4×C17—41no—
264C2×C4×C17—41no—
265C2×C4×C17—41no—
266C2×C4×C17—41no—
267C2×C4×C17—41no—
268C2×C4×C17—84no—
269C2×C4×C17—84no—
270C2×C4×C17C2×C4⋊C412yes—
271C2×C4×C17C2×C4⋊C412yes—
272C2×C4×C17C2×C4⋊C412yes—
273C2×C4×C17C2×C4⋊C412yes—
274C2×C4×C17C23×C411yescharacteristic
275C2×C4×C17C22×D411yescharacteristic
276C2×C4×C17C22×Q811yescharacteristic
277C2×C4×C17C2×#4111yescharacteristic
278C2×C4×C17H(5,𝔽2)11yescharacteristic
279C2×C4×C172−1+411yescharacteristic
280C2×Dic17—22no—
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—84no—
293#3622—22no—
294#3622—22no—
295#3622—22no—
296#3622C4×D414yescomplemented
297C2×#435—171no—
298C2×#428—171no—
299C22×#106—171no—
300#2352—171no—
301D4×C4⋊C4D1711yescharacteristic
302#1949—171no—
303#1948—171no—
304#1854—171no—
305#1853—171no—
306#1853—171no—
307#1852—171no—
308#1847—171no—
309#1809—171no—
310#1808—171no—
311#1776—171no—
312C22×C17—22no—
313C22×C17—22no—
314C22×C17—22no—
315C22×C17—22no—
316C22×C17—22no—
317C22×C17—22no—
318C22×C17—22no—
319C22×C17—22no—
320C22×C17—22no—
321C22×C17—41no—
322C22×C17—41no—
323C22×C17—41no—
324C22×C17—41no—
325C22×C17#42814yescomplemented
326C22×C17C22×C4⋊C411yescharacteristic
327C22×C17D4211yescharacteristic
328C22×C17#54711yescharacteristic
329C22×C17C2×AGL(1,ℤ/8)11yescharacteristic
330C22×C17C2×#13711yescharacteristic
331C22×C17#57711yescharacteristic
332C22×C17#57711yescharacteristic
333C4×C17—22no—
334C4×C17—22no—
335C4×C17—22no—
336C4×C17—22no—
337C4×C17—42no—
338C4×C17—81no—
339C4×C17—81no—
340C4×C17—81no—
341C4×C17C2×C4×D411yescharacteristic
342C4×C17#52011yescharacteristic
343C4×C17D4×Q811yescharacteristic
344C4×C17#55411yescharacteristic
345Dic17—42no—
346Dic17—81no—
347Dic17—81no—
348Dic17—81no—
349C22×M16—171no—
350C23×C8—171no—
351C2×C4×D4—21no—
352C2×C4×D4C2×D1711yescharacteristic
353C2×#117—171no—
354C22×C4⋊C4—171no—
355C22×C4⋊C4C2×D1711yescharacteristic
356C22×C4⋊C4C2×D1711yescharacteristic
357#435—178no—
358#428—344no—
359C2×#107—171no—
360C2×#107—171no—
361C2×#107—171no—
362C2×#107—171no—
363C2×#106—171no—
364C2×#106—171no—
365C2×#106—171no—
366C2×#106—171no—
367C2×#106—171no—
368C2×#106—171no—
369C2×#106—344no—
370C2×C4⋊C8—171no—
371C2×C22⋊C8—171no—
372C2×C22⋊C8—171no—
373C2×#97—171no—
374#389—21no—
375#388—341no—
376#387—341no—
377#386—341no—
378#385—21no—
379#385—21no—
380#384C2×D1711yescharacteristic
381#382—171no—
382#380—171no—
383#380—171no—
384#380C2×D1711yescharacteristic
385#380C2×D1711yescharacteristic
386C4×C4⋊C4—171no—
387C4×C4⋊C4C2×D1711yescharacteristic
388C4×C22⋊C4—341no—
389#340—171no—
390#340—171no—
391#340—171no—
392#340—171no—
393#340—171no—
394#340—171no—
395C2×C17—24no—
396C2×C17—42no—
397C2×C17D4×C4⋊C411yescharacteristic
398C2×C17C2×#42811yescharacteristic
399C2×C17#291211yescharacteristic
400C2×C17#326511yescharacteristic
401C2×C17#326611yescharacteristic
402C2×C17#334411yescharacteristic
403C2×C17#334511yescharacteristic
404C22×D4C22⋊D1711yescharacteristic
405C23×C4—21no—
406C23×C4—21no—
407C23×C4—341no—
408C23×C4C22×D1711yescharacteristic
409C23×C4C22×D1711yescharacteristic
410C2×M16—174no—
411C2×M16—342no—
412C2×M16—342no—
413C22×C8—171no—
414C22×C8—174no—
415C22×C8—171no—
416C22×C8—171no—
417C22×C8—171no—
418C22×C8—342no—
419C22×C8—342no—
420C4×D4—44no—
421C4×D4Dic3414yes—
422C4×D4C4×D1714yes—
423#117—342no—
424#117—681no—
425C2×C4⋊C4—22no—
426C2×C4⋊C4—22no—
427C2×C4⋊C4—21no—
428C2×C4⋊C4—21no—
429C2×C4⋊C4—21no—
430C2×C4⋊C4—21no—
431C2×C4⋊C4—41no—
432C2×C4⋊C4—41no—
433C2×C4⋊C4—171no—
434C2×C4⋊C4—171no—
435C2×C4⋊C4—171no—
436C2×C4⋊C4—171no—
437C2×C4⋊C4—342no—
438C2×C4⋊C4—341no—
439C2×C4⋊C4—681no—
440C2×C4⋊C4C22⋊D1711yescharacteristic
441C2×C4⋊C4C22×D1711yescharacteristic
442C2×C4⋊C4C22×D1711yescharacteristic
443C2×C4⋊C4C22×D1711yescharacteristic
444C2×C4⋊C4C22×D1711yescharacteristic
445C2×C22⋊C4—21no—
446C2×C22⋊C4—21no—
447C2×C22⋊C4—341no—
448C2×C22⋊C4—341no—
449C2×C22⋊C4—341no—
450C2×C22⋊C4C22⋊D1711yescharacteristic
451C2×C22⋊C4C22⋊D1711yescharacteristic
452C2×C42—21no—
453C2×C42—341no—
454C2×C42—341no—
455C2×C42C22×D1711yescharacteristic
456#107—342no—
457#107—342no—
458#107—342no—
459#107—681no—
460#106—174no—
461#106—342no—
462#106—342no—
463#106—342no—
464#106—342no—
465#106—681no—
466C4⋊C8—174no—
467C22⋊C8—174no—
468C22⋊C8—174no—
469#97—174no—
470#95—21no—
471#95—21no—
472#95—21no—
473#95—341no—
474#95—341no—
475#95—341no—
476#95—341no—
477#95—341no—
478C17#2265911yescharacteristic, complemented, Sylow
479C24C2×C22⋊D1711yescharacteristic
480C24C2×C22⋊D1711yescharacteristic
481C2×D4—22no—
482C2×D4—22no—
483C2×D4#6322514yes—
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—21no—
493C22×C4—21no—
494C22×C4—21no—
495C22×C4—21no—
496C22×C4—42no—
497C22×C4—42no—
498C22×C4—42no—
499C22×C4—42no—
500C22×C4—81no—
501C22×C4—81no—
502C22×C4—341no—
503C22×C4—341no—
504C22×C4—341no—
505C22×C4—341no—
506C22×C4—682no—
507C22×C4—682no—
508C22×C4—1361no—
509C22×C4C2×Dic3412yes—
510C22×C4C2×Dic3412yes—
511C22×C4C2×C4×D1712yes—
512C22×C4C2×C4×D1712yes—
513C22×C4C2×C22⋊D1711yescharacteristic
514C22×C4C2×C22⋊D1711yescharacteristic
515C22×C4C2×C22⋊D1711yescharacteristic
516C22×C4C2×C22⋊D1711yescharacteristic
517C22×C4C23×D1711yescharacteristic
518M16—348no—
519C2×C8—172no—
520C2×C8—172no—
521C2×C8—172no—
522C2×C8—172no—
523C2×C8—172no—
524C2×C8—172no—
525C2×C8—348no—
526C2×C8—341no—
527C2×C8—341no—
528C2×C8—341no—
529C2×C8—341no—
530C2×C8—341no—
531C2×C8—341no—
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—42no—
541C4⋊C4—42no—
542C4⋊C4—81no—
543C4⋊C4—172no—
544C4⋊C4—341no—
545C4⋊C4—341no—
546C4⋊C4—341no—
547C4⋊C4—341no—
548C4⋊C4—341no—
549C4⋊C4—341no—
550C4⋊C4—341no—
551C4⋊C4—682no—
552C4⋊C4#6322514yes—
553C4⋊C4D4×D1712yes—
554C22⋊C4—42no—
555C22⋊C4—42no—
556C22⋊C4—682no—
557C22⋊C4—682no—
558C22⋊C4—1361no—
559C22⋊C4#6322514yes—
560C22⋊C4#6322514yes—
561C42—42no—
562C42—682no—
563C42—1361no—
564C42C2×Dic3412yes—
565C42C2×C4×D1712yes—
566C23—21no—
567C23—21no—
568C23—21no—
569C23—21no—
570C23—21no—
571C23—21no—
572C23—21no—
573C23—21no—
574C23—21no—
575C23—21no—
576C23C2×#6322512yes—
577C23C2×#6322512yes—
578C23#1058761812yes—
579C23#1058762812yes—
580C23C22×C22⋊D1711yescharacteristic
581D4—28no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—22no—
591C2×C4—22no—
592C2×C4—22no—
593C2×C4—22no—
594C2×C4—22no—
595C2×C4—22no—
596C2×C4—22no—
597C2×C4—22no—
598C2×C4—22no—
599C2×C4—41no—
600C2×C4—41no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4—41no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—41no—
610C2×C4—84no—
611C2×C4—84no—
612C2×C4—342no—
613C2×C4—681no—
614C2×C4—681no—
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—1364no—
625C2×C4C2×#6322512yes—
626C2×C4C2×#6322512yes—
627C2×C4C2×#6322512yes—
628C2×C4C2×#6322512yes—
629C2×C4C22×Dic3411yescharacteristic
630C2×C4C22×C4×D1711yescharacteristic
631C2×C4C2×D4×D1711yescharacteristic
632C2×C4#1058769111yescharacteristic
633C2×C4#41×D1711yescharacteristic
634C2×C4#1058769711yescharacteristic
635C8—174no—
636C8—342no—
637C8—342no—
638C8—342no—
639C22—22no—
640C22—22no—
641C22—22no—
642C22—22no—
643C22—22no—
644C22—22no—
645C22—22no—
646C22—22no—
647C22—22no—
648C22—41no—
649C22—41no—
650C22—41no—
651C22—41no—
652C22#1176284914yescomplemented
653C22C22×#6322511yescharacteristic
654C22D4×C22⋊D1711yescharacteristic
655C22#1176345811yescharacteristic
656C22C2×#1058761811yescharacteristic
657C22C2×#1058762811yescharacteristic
658C22#1176361711yescharacteristic
659C22#1176362011yescharacteristic
660C4—22no—
661C4—22no—
662C4—22no—
663C4—22no—
664C4—42no—
665C4—81no—
666C4—81no—
667C4—81no—
668C4—682no—
669C4—1361no—
670C4—1361no—
671C4—1361no—
672C4C4×D4×D1711yescharacteristic
673C4#1176328811yescharacteristic
674C4D4×Dic3411yescharacteristic
675C4#1176351811yescharacteristic
676C2—24no—
677C2—42no—
678C2D4×#6322511yescharacteristic
679C2C2×#1176284911yescharacteristic
680C2#1453737711yescharacteristic
681C2#1454027511yescharacteristic
682C2#1454029511yescharacteristic
683C2#1454123311yescharacteristic
684C2#1454125411yescharacteristic
subgroupG/H
centerC23C22×C22⋊D17
commutatorC2×C4×C17C23×C4
FrattiniC22×C4C23×D17
FittingD4×C4⋊C4×C17C2
socleC23×C17C22×D4
prime radicalC22×D4×C17D4
cosocleC22×C4×C17C24
hypercenterD4×C4⋊C4D17
hypocenterC17#22659
LCSG ▷ C2×C4×C17 ▷ C2×C17 ▷ C17
UCSC1 ◁ C23 ◁ C2×C4×D4 ◁ D4×C4⋊C4

Complements

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

NH ≅ G/Ntype
2. C2×#11762849C2semidirect
3. C22×#10587479C2semidirect
5. #14529552C2semidirect
6. #14529545C2semidirect
7. #14528981C2semidirect
8. #14528977C2semidirect
9. #14528976C2semidirect
10. #14528972C2semidirect
11. #14528950C2semidirect
12. #14528815C2semidirect
13. #14528811C2semidirect
14. #14528682C2semidirect
20. #11762881C4semidirect
106. C2×#63223C2×C4semidirect
109. C22×#3622C2×C4semidirect
122. C22⋊#3622C2×C4semidirect
123. C22⋊#3622C2×C4semidirect
129. #10587479D4semidirect
134. C4⋊#3622C2×C4semidirect
135. #10587474C2×C4semidirect
296. #3622C4×D4semidirect
325. C22×C17#428semidirect
478. C17#22659semidirect
652. C22#11762849semidirect

Maximal subgroups

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

subgroupindex
C2×#117628812
C2×#117628492
C22×#105874792
#145317132
#145295522
#145295452
#145289812
#145289772
#145289762
#145289722
#145289502
#145288152
#145288112
#145286822
D4×C4⋊C4×C172
#2265917