Finite Group Databasebeta

← C2×#22568796 #31719489

Subgroups — C2×#22568796 #31719489

Order 17152.

2878 conjugacy classes of subgroups.

The subgroup lattice has 636 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×M16×D67C211yesmaximal, characteristic
2C22×#14524001C211yesmaximal, characteristic
3C2×#117×D67C211yesmaximal, characteristic
4#22568796C2116yesmaximal, direct product factor
5C2×#16863439C211yesmaximal, characteristic, complemented
6C2×#16863438C211yesmaximal, characteristic, complemented
7C2×#16863437C212yesmaximal, complemented
8C2×#16863436C211yesmaximal, characteristic, complemented
9C2×#16863435C212yesmaximal, complemented
10C2×#16863433C212yesmaximal, complemented
11C2×#16863431C212yesmaximal, complemented
12C2×#428×C67C211yesmaximal, characteristic, complemented
13C23×C4×D67C2211yescharacteristic
14C22×#11761612C2211yescharacteristic
15C22×#11761611C2212yes—
16C2×M16×D67C4116yescomplemented
17C2×M16×D67C2218yes—
18C22×C8×D67C2212yes—
19C2×#14524002C2211yescharacteristic
20C2×#14524001—21no—
21C2×#14524001—24no—
22C2×#14524001—21no—
23C2×#14524001C2211yescharacteristic
24C2×#14524001C2211yescharacteristic
25C2×#14524001C2212yes—
26C2×#14524001C2212yes—
27C2×#14524001C2218yes—
28C2×#14524000—21no—
29C2×#14523999—21no—
30#117×D67—24no—
31#117×D67C2218yes—
32C22×C4⋊Dic67C2211yescharacteristic
33C2×C4⋊C4×D67C2211yescharacteristic
34C2×C4⋊C4×D67C2211yescharacteristic
35C22×(C2×D67)⋊C4—21no—
36C2×C22⋊C4×D67—21no—
37C22×C4×Dic67—21no—
38C2×C42×D67—21no—
39#16863439C2218yescomplemented
40#16863438C2218yescomplemented
41#16863437C22116yescomplemented
42#16863436C2218yescomplemented
43#16863435C22116yescomplemented
44#16863433C22116yescomplemented
45#16863431C22116yescomplemented
46C2×#14523977C2212yescomplemented
47C2×#14523976C2212yescomplemented
48C2×#14523976C2212yescomplemented
49C2×#14523975C2212yescomplemented
50C2×#14523974C2212yescomplemented
51C2×#14523974C2212yescomplemented
52C22×M16×C67C2211yescharacteristic
53C2×#117×C67C2211yescharacteristic
54C22×C4⋊C4×C67C2211yescharacteristic
55#428×C67C2218yescomplemented
56C2×#107×C67C2212yescomplemented
57C2×#106×C67C2212yescomplemented
58C24×D67D411yescharacteristic
59C23×Dic67—21no—
60C23×Dic67D411yescharacteristic
61C22×C4×D67—21no—
62C22×C4×D67—21no—
63C22×C4×D67C2×C418yes—
64C22×C4×D67D411yescharacteristic
65C22×C4×D67D414yes—
66C22×C4×D67D411yescharacteristic
67C22×C4×D67Q818yes—
68C22×C4×D67C2311yescharacteristic
69C22×C4×D67C2314yes—
70C22×C4×D67C2311yescharacteristic
71C2×#11761612C2×C418yescomplemented
72C2×#11761612C2314yes—
73C2×#11761611C2×C4116yescomplemented
74C2×#11761611C2318yes—
75M16×D67C2×C4164yescomplemented
76C22×C67⋊C8C2312yes—
77C2×C8×D67C2×C4116yescomplemented
78C2×C8×D67C2318yes—
79#14524002—22no—
80#14524002C2314yes—
81#14524001—22no—
82#14524001—22no—
83#14524001—28no—
84#14524001—24no—
85#14524001—28no—
86#14524001—24no—
87#14524001C2314yes—
88#14524001C2314yes—
89#14524001C2318yes—
90#14524001C2318yes—
91#14524000—28no—
92#14523999—28no—
93C2×C4⋊Dic67—21no—
94C2×C4⋊Dic67—22no—
95C2×C4⋊Dic67C2311yescharacteristic
96C2×C4⋊Dic67C2311yescharacteristic
97C2×C4⋊Dic67C2312yes—
98C2×C4⋊Dic67C2314yes—
99C2×Dic67⋊C4—21no—
100C2×Dic67⋊C4—21no—
101C4⋊C4×D67—22no—
102C4⋊C4×D67—22no—
103C4⋊C4×D67C2314yes—
104C4⋊C4×D67C2314yes—
105C2×C22⋊Dic67—21no—
106C2×(C2×D67)⋊C4—21no—
107C2×(C2×D67)⋊C4—21no—
108C2×(C2×D67)⋊C4—22no—
109C2×(C2×D67)⋊C4—22no—
110C2×(C2×D67)⋊C4—28no—
111C22⋊C4×D67—28no—
112C2×C4×Dic67—21no—
113C2×C4×Dic67—21no—
114C2×C4×Dic67—22no—
115C2×C4×Dic67—22no—
116C2×C4×Dic67—28no—
117C2×C4×Dic67—21no—
118C42×D67—28no—
119#14523977C2318yescomplemented
120#14523976C2318yescomplemented
121#14523976C2318yescomplemented
122#14523975C2318yescomplemented
123#14523974C2318yescomplemented
124#14523974C2318yescomplemented
125C23×C4×C67—21no—
126C23×C4×C67C2311yescharacteristic
127C2×M16×C67C2×C418yescomplemented
128C2×M16×C67C2314yes—
129C22×C8×C67C2312yes—
130#117×C67—22no—
131#117×C67C2314yes—
132C2×C4⋊C4×C67—21no—
133C2×C4⋊C4×C67—22no—
134C2×C4⋊C4×C67C2312yes—
135C2×C4⋊C4×C67C2314yes—
136C2×C4⋊C4×C67C2311yescharacteristic
137C2×C4⋊C4×C67C2311yescharacteristic
138C2×C22⋊C4×C67—21no—
139C2×C42×C67—21no—
140#107×C67C2318yescomplemented
141#106×C67C2318yescomplemented
142C23×D67—42no—
143C23×D67—42no—
144C23×D67C4⋊C418yes—
145C23×D67C2×D411yescharacteristic
146C23×D67C2×D411yescharacteristic
147C23×D67C2×D414yes—
148C22×Dic67—24no—
149C22×Dic67—22no—
150C22×Dic67—21no—
151C22×Dic67—21no—
152C22×Dic67—44no—
153C22×Dic67C4⋊C418yes—
154C22×Dic67C2×D411yescharacteristic
155C22×Dic67C2×D411yescharacteristic
156C22×Dic67C2×D414yes—
157C2×C4×D67—24no—
158C2×C4×D67—24no—
159C2×C4×D67—44no—
160C2×C4×D67—44no—
161C2×C4×D67C4⋊C418yes—
162C2×C4×D67C4⋊C418yes—
163C2×C4×D67C4⋊C4132yes—
164C2×C4×D67C22×C414yes—
165C2×C4×D67C22×C4116yes—
166C2×C4×D67C22×C414yes—
167C2×C4×D67C2×D414yes—
168C2×C4×D67C2×D412yes—
169C2×C4×D67C2×D414yes—
170C2×C4×D67C2×D412yes—
171C2×C4×D67C2×Q814yes—
172C2×C4×D67C2×Q814yes—
173C2×C4×D67C2×Q8116yes—
174C2×C4×D67C2412yes—
175C2×C4×D67C2412yes—
176#11761612C22×C4116yescomplemented
177#11761611C22×C4132yescomplemented
178C2×C67⋊C8C22×C418yes—
179C2×C67⋊C8C2414yes—
180C8×D67C22×C4132yescomplemented
181C4⋊Dic67—21no—
182C4⋊Dic67—21no—
183C4⋊Dic67—24no—
184C4⋊Dic67—22no—
185C4⋊Dic67C2412yes—
186C4⋊Dic67C2414yes—
187C4⋊Dic67C2412yes—
188Dic67⋊C4—24no—
189Dic67⋊C4—24no—
190C22⋊Dic67—24no—
191(C2×D67)⋊C4—24no—
192(C2×D67)⋊C4—24no—
193(C2×D67)⋊C4—28no—
194(C2×D67)⋊C4—28no—
195C4×Dic67—24no—
196C4×Dic67—24no—
197C4×Dic67—24no—
198C4×Dic67—28no—
199C4×Dic67—28no—
200C24×C67C2×D411yescharacteristic
201C22×C4×C67—21no—
202C22×C4×C67—21no—
203C22×C4×C67—24no—
204C22×C4×C67—22no—
205C22×C4×C67—44no—
206C22×C4×C67C22×C414yes—
207C22×C4×C67C2×D411yescharacteristic
208C22×C4×C67C2×D412yes—
209C22×C4×C67C2×Q814yes—
210C22×C4×C67C2411yescharacteristic
211C22×C4×C67C2412yes—
212M16×C67C22×C4116yescomplemented
213C2×C8×C67C22×C418yes—
214C2×C8×C67C2414yes—
215C4⋊C4×C67—24no—
216C4⋊C4×C67—22no—
217C4⋊C4×C67—21no—
218C4⋊C4×C67—21no—
219C4⋊C4×C67C2412yes—
220C4⋊C4×C67C2414yes—
221C4⋊C4×C67C2412yes—
222C22⋊C4×C67—24no—
223C42×C67—24no—
224C23×C67—22no—
225C23×C67—22no—
226C23×C67C2×C4⋊C414yes—
227C23×C67C22×D412yes—
228C23×C67C22×D411yescharacteristic
229C22×D67—22no—
230C22×D67—22no—
231C22×D67—22no—
232C22×D67—22no—
233C22×D67—416no—
234C22×D67—44no—
235C22×D67—44no—
236C22×D67C2×C4⋊C414yes—
237C22×D67C2×C4⋊C414yes—
238C22×D67C2×C4⋊C4116yes—
239C22×D67C22×D412yes—
240C22×D67C22×D412yes—
241C2×C4×C67—22no—
242C2×C4×C67—22no—
243C2×C4×C67—24no—
244C2×C4×C67—48no—
245C2×C4×C67—44no—
246C2×C4×C67—42no—
247C2×C4×C67—42no—
248C2×C4×C67C2×C4⋊C418yes—
249C2×C4×C67C2×C4⋊C414yes—
250C2×C4×C67C23×C412yes—
251C2×C4×C67C23×C414yes—
252C2×C4×C67C22×D412yes—
253C2×C4×C67C22×D411yescharacteristic
254C2×C4×C67C22×Q814yes—
255C2×C4×C67C22×Q812yes—
256C2×C4×C67C2511yescharacteristic
257C2×Dic67—24no—
258C2×Dic67—22no—
259C2×Dic67—22no—
260C2×Dic67—48no—
261C2×Dic67—42no—
262C2×Dic67—42no—
263C2×Dic67—44no—
264C2×Dic67C2×C4⋊C4116yes—
265C2×Dic67C2×C4⋊C414yes—
266C2×Dic67C2×C4⋊C414yes—
267C2×Dic67C22×D412yes—
268C2×Dic67C22×D412yes—
269C4×D67—48no—
270C4×D67—48no—
271C4×D67C2×C4⋊C418yes—
272C4×D67C2×C4⋊C4116yes—
273C4×D67C2×C4⋊C4116yes—
274C4×D67C2×C4⋊C418yes—
275C4×D67C23×C414yes—
276C4×D67C23×C414yes—
277C4×D67C22×Q814yes—
278C4×D67C22×Q814yes—
279C8×C67C23×C418yes—
280C67⋊C8C23×C418yes—
281C22×C67—28no—
282C22×C67—22no—
283C22×C67—22no—
284C22×C67C22×C4⋊C414yes—
285C22×C67C22×C4⋊C412yes—
286C22×C67#57512yes—
287C22×C67#57512yes—
288C22×C67C23×D411yescharacteristic
289C2×D67—28no—
290C2×D67—28no—
291C2×D67—22no—
292C2×D67—22no—
293C2×D67—22no—
294C2×D67—22no—
295C2×D67—416no—
296C2×D67C22×C4⋊C414yes—
297C2×D67C22×C4⋊C414yes—
298C4×C67—42no—
299C4×C67—42no—
300C4×C67—44no—
301C4×C67C22×C4⋊C412yes—
302C4×C67C22×C4⋊C414yes—
303C4×C67C24×C411yescharacteristic
304C4×C67C23×Q811yescharacteristic
305Dic67—42no—
306Dic67—42no—
307Dic67—44no—
308Dic67C22×C4⋊C414yes—
309Dic67C22×C4⋊C414yes—
310C2×#2911—671nomaximal, Sylow
311C2×C67—24no—
312C2×C67#291114yescomplemented
313C2×C67C23×C4⋊C411yescharacteristic
314C2×C67C2×#57511yescharacteristic
315C2×C67C2×#57511yescharacteristic
316D67—24no—
317D67—24no—
318C23×M16—671no—
319C22×#117—671no—
320C22×#117—671no—
321#2911—6716no—
322C2×#428—672no—
323C2×#428—672no—
324C2×#428—671no—
325C2×#428—671no—
326C2×#428—671no—
327C2×#428D6711yescharacteristic, complemented
328C2×#427—672no—
329C2×#427—672no—
330C67C2×#291111yescharacteristic, complemented, Sylow
331C24×C4—671no—
332C22×M16—671no—
333C22×M16—6716no—
334C22×M16—678no—
335C22×M16—672no—
336C22×M16C2×D6711yescharacteristic
337C23×C8—672no—
338C2×#117—671no—
339C2×#117—678no—
340C2×#117—671no—
341C2×#117—671no—
342C2×#117—672no—
343C2×#117—672no—
344C2×#117—678no—
345C2×#117—1341no—
346C2×#117—1341no—
347C2×#117—1344no—
348C2×#117—1341no—
349C2×#117—1341no—
350C2×#117—1344no—
351C2×#117C2×D6711yescharacteristic
352C22×C4⋊C4—671no—
353C22×C4⋊C4—671no—
354C22×C4⋊C4—671no—
355C22×C4⋊C4C2×D6711yescharacteristic
356C22×C22⋊C4—1341no—
357C22×C22⋊C4—1341no—
358C22×C42—1341no—
359C22×C42—1341no—
360#428—678no—
361#428—678no—
362#428—678no—
363#428—6716no—
364#428—6716no—
365#428C2×D6718yescomplemented
366#427—6716no—
367#427—6716no—
368C2×#107—672no—
369C2×#107—672no—
370C2×#107—672no—
371C2×#107C2×D6712yescomplemented
372C2×#106—672no—
373C2×#106—672no—
374C2×#106—672no—
375C2×#106C2×D6712yescomplemented
376C25—671no—
377C23×C4—21no—
378C23×C4—671no—
379C23×C4—678no—
380C23×C4—674no—
381C23×C4—671no—
382C23×C4—671no—
383C23×C4—678no—
384C23×C4—671no—
385C23×C4—671no—
386C23×C4—674no—
387C23×C4—1341no—
388C23×C4—1341no—
389C23×C4—1341no—
390C23×C4C22×D6711yescharacteristic
391C2×M16—678no—
392C2×M16—674no—
393C2×M16—6764no—
394C2×M16—6716no—
395C2×M16—678no—
396C2×M16C4×D6718yescomplemented
397C2×M16C22×D6714yes—
398C22×C8—672no—
399C22×C8—6716no—
400C22×C8—678no—
401C22×C8C22×D6712yes—
402#117—22no—
403#117—674no—
404#117—674no—
405#117—678no—
406#117—674no—
407#117—678no—
408#117—1348no—
409#117—1348no—
410#117—1348no—
411#117—1344no—
412#117—1344no—
413#117—1348no—
414#117—1342no—
415#117—1342no—
416#117—1342no—
417#117C22×D6714yes—
418C2×C4⋊C4—22no—
419C2×C4⋊C4—21no—
420C2×C4⋊C4—672no—
421C2×C4⋊C4—671no—
422C2×C4⋊C4—671no—
423C2×C4⋊C4—674no—
424C2×C4⋊C4—674no—
425C2×C4⋊C4—674no—
426C2×C4⋊C4—1342no—
427C2×C4⋊C4—1342no—
428C2×C4⋊C4—1341no—
429C2×C4⋊C4—1341no—
430C2×C4⋊C4—1342no—
431C2×C4⋊C4—1341no—
432C2×C4⋊C4C22×D6711yescharacteristic
433C2×C4⋊C4C22×D6711yescharacteristic
434C2×C4⋊C4C22×D6712yes—
435C2×C4⋊C4C22×D6714yes—
436C2×C22⋊C4—21no—
437C2×C22⋊C4—1348no—
438C2×C22⋊C4—1348no—
439C2×C22⋊C4—1341no—
440C2×C22⋊C4—1341no—
441C2×C22⋊C4—1342no—
442C2×C22⋊C4—1342no—
443C2×C22⋊C4—1341no—
444C2×C42—21no—
445C2×C42—1348no—
446C2×C42—1348no—
447C2×C42—1341no—
448C2×C42—1341no—
449C2×C42—1342no—
450C2×C42—1342no—
451C2×C42—1341no—
452#107—678no—
453#107—678no—
454#107—678no—
455#107C22×D6718yescomplemented
456#106—678no—
457#106—678no—
458#106—678no—
459#106C22×D6718yescomplemented
460C24—2682no—
461C24—2682no—
462C24—678no—
463C24—674no—
464C24—671no—
465C24—671no—
466C24D4×D6711yescharacteristic
467C22×C4—24no—
468C22×C4—21no—
469C22×C4—21no—
470C22×C4—22no—
471C22×C4—44no—
472C22×C4—2684no—
473C22×C4—2684no—
474C22×C4—2684no—
475C22×C4—678no—
476C22×C4—674no—
477C22×C4—671no—
478C22×C4—671no—
479C22×C4—6732no—
480C22×C4—678no—
481C22×C4—678no—
482C22×C4—674no—
483C22×C4—6716no—
484C22×C4—674no—
485C22×C4—674no—
486C22×C4—672no—
487C22×C4—672no—
488C22×C4—674no—
489C22×C4—6716no—
490C22×C4—674no—
491C22×C4—674no—
492C22×C4—672no—
493C22×C4—672no—
494C22×C4—1344no—
495C22×C4—1344no—
496C22×C4—1344no—
497C22×C4—1341no—
498C22×C4—1342no—
499C22×C4—1341no—
500C22×C4C2×C4×D6714yes—
501C22×C4D4×D6712yes—
502C22×C4D4×D6711yescharacteristic
503C22×C4Q8×D6714yes—
504C22×C4C23×D6712yes—
505C22×C4C23×D6711yescharacteristic
506M16—6716no—
507M16—6732no—
508M16C2×C4×D67116yescomplemented
509C2×C8—678no—
510C2×C8—674no—
511C2×C8—6732no—
512C2×C8C2×C4×D6718yes—
513C2×C8C23×D6714yes—
514C4⋊C4—24no—
515C4⋊C4—22no—
516C4⋊C4—21no—
517C4⋊C4—21no—
518C4⋊C4—672no—
519C4⋊C4—674no—
520C4⋊C4—672no—
521C4⋊C4—1344no—
522C4⋊C4—1344no—
523C4⋊C4—1344no—
524C4⋊C4—1341no—
525C4⋊C4—1341no—
526C4⋊C4—1342no—
527C4⋊C4C23×D6712yes—
528C4⋊C4C23×D6714yes—
529C4⋊C4C23×D6712yes—
530C22⋊C4—24no—
531C22⋊C4—1344no—
532C22⋊C4—1344no—
533C22⋊C4—1348no—
534C22⋊C4—1348no—
535C22⋊C4—1344no—
536C42—24no—
537C42—1344no—
538C42—1344no—
539C42—1348no—
540C42—1348no—
541C42—1344no—
542C23—22no—
543C23—22no—
544C23—26816no—
545C23—2684no—
546C23—2684no—
547C23—6716no—
548C23—674no—
549C23—674no—
550C23—672no—
551C23—672no—
552C23—1342no—
553C23—1342no—
554C23—1342no—
555C23—1342no—
556C23C4⋊C4×D6714yes—
557C23C2×D4×D6712yes—
558C23C2×D4×D6711yescharacteristic
559C2×C4—22no—
560C2×C4—22no—
561C2×C4—24no—
562C2×C4—48no—
563C2×C4—44no—
564C2×C4—42no—
565C2×C4—42no—
566C2×C4—2688no—
567C2×C4—2688no—
568C2×C4—2688no—
569C2×C4—2682no—
570C2×C4—2682no—
571C2×C4—2684no—
572C2×C4—6716no—
573C2×C4—674no—
574C2×C4—674no—
575C2×C4—672no—
576C2×C4—672no—
577C2×C4—678no—
578C2×C4—6716no—
579C2×C4—678no—
580C2×C4—6716no—
581C2×C4—674no—
582C2×C4—674no—
583C2×C4—674no—
584C2×C4—674no—
585C2×C4—1342no—
586C2×C4—1344no—
587C2×C4—1342no—
588C2×C4C4⋊C4×D6718yes—
589C2×C4C4⋊C4×D6714yes—
590C2×C4C22×C4×D6712yes—
591C2×C4C22×C4×D6714yes—
592C2×C4C2×D4×D6712yes—
593C2×C4C2×D4×D6711yescharacteristic
594C2×C4C2×Q8×D6714yes—
595C2×C4C2×Q8×D6712yes—
596C2×C4C24×D6711yescharacteristic
597C8—678no—
598C8C22×C4×D6718yes—
599C22—28no—
600C22—22no—
601C22—22no—
602C22—26816no—
603C22—674no—
604C22—674no—
605C22—1348no—
606C22—1348no—
607C22—1342no—
608C22—1342no—
609C22—1342no—
610C22—1342no—
611C22C2×C4⋊C4×D6714yes—
612C22C2×C4⋊C4×D6712yes—
613C22#1686419212yes—
614C22#1686419512yes—
615C22C22×D4×D6711yescharacteristic
616C4—44no—
617C4—42no—
618C4—42no—
619C4—2682no—
620C4—2682no—
621C4—2684no—
622C4—674no—
623C4—674no—
624C4C2×C4⋊C4×D6712yes—
625C4C2×C4⋊C4×D6714yes—
626C4C23×C4×D6711yescharacteristic
627C4C22×Q8×D6711yescharacteristic
628C2—24no—
629C2—1344no—
630C2—1344no—
631C2#2256879614yesdirect product factor
632C2C22×C4⋊C4×D6711yescharacteristic
633C2C2×#1686419211yescharacteristic
634C2C2×#1686419511yescharacteristic
subgroupG/H
centerC23C2×D4×D67
commutatorC4×C67C24×C4
FrattiniC2×C4C24×D67
FittingC2×#428×C67C2
socleC23×C67C22×D4
prime radicalC24×D67D4
cosocleC2×C4×C67C25
hypercenterC2×#428D67
hypocenterC67C2×#2911
LCSG ▷ C4×C67 ▷ C2×C67 ▷ C67
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#428

Complements

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

NH ≅ G/Ntype
4. #22568796C2direct (N × H)
5. C2×#16863439C2semidirect
6. C2×#16863438C2semidirect
7. C2×#16863437C2semidirect
8. C2×#16863436C2semidirect
9. C2×#16863435C2semidirect
10. C2×#16863433C2semidirect
11. C2×#16863431C2semidirect
12. C2×#428×C67C2semidirect
16. C2×M16×D67C4semidirect
39. #16863439C22semidirect
40. #16863438C22semidirect
41. #16863437C22semidirect
42. #16863436C22semidirect
43. #16863435C22semidirect
44. #16863433C22semidirect
45. #16863431C22semidirect
46. C2×#14523977C22semidirect
47. C2×#14523976C22semidirect
48. C2×#14523976C22semidirect
49. C2×#14523975C22semidirect
50. C2×#14523974C22semidirect
51. C2×#14523974C22semidirect
55. #428×C67C22semidirect
56. C2×#107×C67C22semidirect
57. C2×#106×C67C22semidirect
71. C2×#11761612C2×C4semidirect
73. C2×#11761611C2×C4semidirect
75. M16×D67C2×C4semidirect
77. C2×C8×D67C2×C4semidirect
119. #14523977C23semidirect
120. #14523976C23semidirect
121. #14523976C23semidirect
122. #14523975C23semidirect
123. #14523974C23semidirect
124. #14523974C23semidirect
127. C2×M16×C67C2×C4semidirect
140. #107×C67C23semidirect
141. #106×C67C23semidirect
176. #11761612C22×C4semidirect
177. #11761611C22×C4semidirect
180. C8×D67C22×C4semidirect
212. M16×C67C22×C4semidirect
312. C2×C67#2911semidirect
327. C2×#428D67semidirect
330. C67C2×#2911semidirect
365. #428C2×D67semidirect
371. C2×#107C2×D67semidirect
375. C2×#106C2×D67semidirect
396. C2×M16C4×D67semidirect
455. #107C22×D67semidirect
459. #106C22×D67semidirect
508. M16C2×C4×D67semidirect
631. C2#22568796direct (N × H)

Maximal subgroups

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

subgroupindex
C22×M16×D672
C22×#145240012
C2×#117×D672
#225687962
C2×#168634392
C2×#168634382
C2×#168634372
C2×#168634362
C2×#168634352
C2×#168634332
C2×#168634312
C2×#428×C672
C2×#291167