Finite Group Databasebeta

← C4×#11763058 #17040959

Subgroups — C4×#11763058 #17040959

Order 4352.

1086 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11763058C211yesmaximal, characteristic
2C2×C4×#63230C211yesmaximal, characteristic, complemented
3C2×C4×#63218C211yesmaximal, characteristic, complemented
4C4×#10587632C211yesmaximal, characteristic, complemented
5C4×#10587581C211yesmaximal, characteristic
6#14529662C211yesmaximal, characteristic, complemented
7#14529521C211yesmaximal, characteristic, complemented
8#14529479C211yesmaximal, characteristic, complemented
9#14529476C211yesmaximal, characteristic, complemented
10#14529221C211yesmaximal, characteristic
11#14529214C211yesmaximal, characteristic, complemented
12#14528816C211yesmaximal, characteristic, complemented
13C4×#10587478C211yesmaximal, characteristic, complemented
14C4×#10587492C211yesmaximal, characteristic, complemented
15C4×C17×#103C211yesmaximal, characteristic, complemented
16C22×#63230C2211yescharacteristic
17C22×#63218C2211yescharacteristic
18C22×#63218C2211yescharacteristic
19C2×#10587632C2211yescharacteristic
20C2×#10587581C2211yescharacteristic
21C2×C4×D68—21no—
22C2×C4×D68C2211yescharacteristic
23C2×C42×D17C2211yescharacteristic
24#11763058C418yesdirect product factor
25C4×#63230—24no—
26C2×#10587478C2211yescharacteristic
27C2×#10587478C2211yescharacteristic
28C2×#10587479C2211yescharacteristic
29C2×#10587506C2211yescharacteristic
30C2×#10587492C2211yescharacteristic
31C2×#10587492C2211yescharacteristic
32C2×#10587480C2211yescharacteristic
33C4×#63218—24no—
34C2×#10587486C2211yescharacteristic
35C2×#10587486C2211yescharacteristic
36C2×C4×#3622C2211yescharacteristic
37#11762716C2211yescharacteristic
38#11762710C2211yescharacteristic
39#11762708C2211yescharacteristic
40#11762705C2211yescharacteristic
41#11762701—21no—
42#11762690—21no—
43#11762687—21no—
44#11762680—21no—
45#11762666C2211yescharacteristic
46#11762666C2211yescharacteristic
47C4×#63225—21no—
48C4×C4⋊Dic17C2211yescharacteristic
49C4×#63227—21no—
50C4×#63227—21no—
51#11762572C2211yescharacteristic
52#11762572C2211yescharacteristic
53#11762571C2211yescharacteristic
54#11762571C2211yescharacteristic
55C2×C4×Q8×C17C2211yescharacteristic
56C2×C17×#103C2211yescharacteristic
57C2×C17×#103C2211yescharacteristic
58C2×C4×C8×C17C2211yescharacteristic
59C4×C4⋊C4×C17C2211yescharacteristic
60C17×#340C2211yescharacteristic
61C17×#340C2211yescharacteristic
62C22×Q8×C17C2311yescharacteristic
63C22×D68—21no—
64C22×D68C2311yescharacteristic
65C22×C4×D17—21no—
66C22×C4×D17D411yescharacteristic
67C22×C4×D17D411yescharacteristic
68C22×C4×D17C2311yescharacteristic
69C22×C8×C17C2311yescharacteristic
70C22×C8×C17C2311yescharacteristic
71C4×Q8×C17—22no—
72C4×Q8×C17—22no—
73C2×C4⋊C4×C17—21no—
74C2×C4⋊C4×C17C2311yescharacteristic
75C2×C4⋊C4×C17C2311yescharacteristic
76C2×C4⋊C4×C17C2311yescharacteristic
77C2×C42×C17—21no—
78C2×C42×C17—21no—
79C2×C42×C17C2311yescharacteristic
80#10587632—22no—
81#10587632C2×C414yescomplemented
82C2×#63230—22no—
83C2×#63230—22no—
84C2×#63230C2×C414yescomplemented
85C2×#63227—21no—
86C2×#63227—21no—
87C2×#63227—21no—
88C2×#63227—21no—
89C2×#63227—21no—
90C2×#63227—21no—
91C2×#63227—21no—
92C2×C4⋊Dic17—21no—
93C2×C4⋊Dic17C2311yescharacteristic
94C2×C4⋊Dic17C2311yescharacteristic
95C2×C4⋊Dic17C2311yescharacteristic
96C2×#63225—21no—
97C2×#63225—21no—
98C2×C4×Dic17—21no—
99C2×C4×Dic17D411yescharacteristic
100C2×C4×Dic17D411yescharacteristic
101C2×C4×Dic17C2311yescharacteristic
102C22×#3622C2311yescharacteristic
103C22×#3622C2311yescharacteristic
104C2×#63218—22no—
105C2×#63218—22no—
106C2×#63218—22no—
107C2×#63218—22no—
108C2×#63218—22no—
109C2×#63218C2×C414yescomplemented
110#10587581—22no—
111#10587581C2×C414yes—
112C4×D68—22no—
113C4×D68—22no—
114C4×D68—44no—
115C42×D17—22no—
116C42×D17—22no—
117C17×#103—22no—
118C17×#103C2×C414yescomplemented
119C4×C8×C17—22no—
120C17×#95—21no—
121#10587506—22no—
122#10587502—21no—
123#10587502—21no—
124#10587502—21no—
125#10587502—21no—
126#10587502—21no—
127#10587502—21no—
128#10587502—21no—
129#10587492—22no—
130#10587492C2×C414yescomplemented
131#10587486—22no—
132#10587486—22no—
133#10587480—22no—
134#10587479—22no—
135#10587478—22no—
136#10587478C2×C414yescomplemented
137C4×#3622D414yescomplemented
138C23×D17—21no—
139C23×D17C2×D411yescharacteristic
140C2×Q8×C17—21no—
141C2×Q8×C17—21no—
142C2×Q8×C17—21no—
143C2×Q8×C17—21no—
144C2×Q8×C17—21no—
145C2×Q8×C17C22×C412yes—
146C22×C4×C17—21no—
147C22×C4×C17—21no—
148C22×C4×C17—21no—
149C22×C4×C17—21no—
150C22×C4×C17C2×D411yescharacteristic
151C22×C4×C17C2×D411yescharacteristic
152C22×C4×C17C2411yescharacteristic
153C22×Dic17—21no—
154C22×Dic17—21no—
155C22×Dic17—21no—
156C22×Dic17C2×D411yescharacteristic
157C22×Dic17C2×D411yescharacteristic
158C22×Dic17C2×D411yescharacteristic
159C2×D68—21no—
160C2×D68—21no—
161C2×D68—21no—
162C2×D68—21no—
163C2×D68—24no—
164C2×D68—21no—
165C2×D68—42no—
166C2×D68—42no—
167C2×D68C22×C412yes—
168C2×C4×D17—21no—
169C2×C4×D17—21no—
170C2×C4×D17—21no—
171C2×C4×D17—21no—
172C2×C4×D17—22no—
173C2×C4×D17—22no—
174C2×C4×D17—22no—
175C2×C4×D17—22no—
176C2×C4×D17—41no—
177C2×C4×D17—41no—
178C2×C4×D17—42no—
179C2×C4×D17—42no—
180C2×C4×D17—42no—
181C2×C4×D17C22×C412yes—
182C2×C4×D17#4112yes—
183C2×C8×C17—21no—
184C2×C8×C17—21no—
185C2×C8×C17—21no—
186C2×C8×C17—21no—
187C2×C8×C17C22×C412yes—
188C2×C8×C17#4112yes—
189C4⋊C4×C17—21no—
190C4⋊C4×C17—21no—
191C4⋊C4×C17—21no—
192C4⋊C4×C17—21no—
193C4⋊C4×C17—21no—
194C4⋊C4×C17—42no—
195C4⋊C4×C17C22×C412yes—
196C42×C17—42no—
197C42×C17—42no—
198C42×C17C2×D412yes—
199C42×C17#4112yes—
200#63230—28no—
201#63227—24no—
202#63227—24no—
203#63227—42no—
204#63227—42no—
205#63227—42no—
206#63227—42no—
207#63227—42no—
208C4⋊Dic17—21no—
209C4⋊Dic17—21no—
210C4⋊Dic17—21no—
211C4⋊Dic17—21no—
212C4⋊Dic17—21no—
213C4⋊Dic17—42no—
214C4⋊Dic17C22×C412yes—
215#63225—24no—
216#63225—42no—
217C4×Dic17—22no—
218C4×Dic17—22no—
219C4×Dic17—21no—
220C4×Dic17—21no—
221C4×Dic17—42no—
222C2×#3622—21no—
223C2×#3622—21no—
224C2×#3622C22×C412yes—
225C2×#3622C2×D412yes—
226C2×#3622C2×D412yes—
227C2×#3622#4112yes—
228#63218—28no—
229#63218—28no—
230C4×#468—171nomaximal, Sylow
231C23×C17C22×D411yescharacteristic
232C22×D17—21no—
233C22×D17—21no—
234C22×D17—21no—
235C22×D17—21no—
236C22×D17—21no—
237C22×D17—21no—
238C22×D17—22no—
239C22×D17—41no—
240C22×D17—41no—
241C22×D17—41no—
242C22×D17—41no—
243C22×D17—41no—
244C22×D17—41no—
245C22×D17C4×D412yes—
246Q8×C17—22no—
247Q8×C17—22no—
248Q8×C17—41no—
249Q8×C17—41no—
250C2×C4×C17—21no—
251C2×C4×C17—21no—
252C2×C4×C17—22no—
253C2×C4×C17—22no—
254C2×C4×C17—41no—
255C2×C4×C17—41no—
256C2×C4×C17—41no—
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#12112yes—
265C2×C4×C17#12112yes—
266C2×C4×C17AGL(1,ℤ/8)12yes—
267C2×C4×C17#13712yes—
268C2×C4×C17C23×C411yescharacteristic
269C2×C4×C17C22×D411yescharacteristic
270C2×C4×C17C2×#4111yescharacteristic
271C2×C4×C17C2×#4111yescharacteristic
272C2×C4×C17C2×#4111yescharacteristic
273C2×C4×C17C2×#4111yescharacteristic
274C2×Dic17—21no—
275C2×Dic17—21no—
276C2×Dic17—22no—
277C2×Dic17—21no—
278C2×Dic17—21no—
279C2×Dic17—21no—
280C2×Dic17—21no—
281C2×Dic17—21no—
282C2×Dic17—21no—
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×Dic17C4×D412yes—
292D68—22no—
293D68—22no—
294D68—48no—
295D68—41no—
296D68—41no—
297C4×D17—22no—
298C4×D17—22no—
299C4×D17—22no—
300C4×D17—22no—
301C4×D17—44no—
302C4×D17—44no—
303C4×D17—84no—
304C8×C17—22no—
305C8×C17—22no—
306#3622—22no—
307#3622C4×D414yescomplemented
308C2×#468—171no—
309C2×C4×SD16—171no—
310C2×C4×M16—171no—
311C4×C22⋊Q8—171no—
312C4×#121—171no—
313#1973—171no—
314#1943—171no—
315#1936—171no—
316#1935—171no—
317#1895—171no—
318#1894—171no—
319#1809—171no—
320C4×#107—171no—
321C4×#103D1711yescharacteristic, complemented
322C4×#102—171no—
323C22×C17C2×C4×D411yescharacteristic
324C22×C17C2×#12111yescharacteristic
325C22×C17#53211yescharacteristic
326C22×C17C2×AGL(1,ℤ/8)11yescharacteristic
327C22×C17C2×#13711yescharacteristic
328C22×C17#57511yescharacteristic
329C22×C17#57511yescharacteristic
330C2×D17—22no—
331C2×D17—22no—
332C2×D17—22no—
333C2×D17—41no—
334C2×D17—41no—
335C2×D17—41no—
336C2×D17—41no—
337C2×D17—42no—
338C2×D17—42no—
339C2×D17—42no—
340C2×D17—81no—
341C2×D17—81no—
342C2×D17—81no—
343C2×D17—81no—
344C4×C17—22no—
345C4×C17—42no—
346C4×C17—42no—
347C4×C17—81no—
348C4×C17—81no—
349C4×C17#46814yescomplemented
350C4×C17C2×C4×D411yescharacteristic
351C4×C17C4×#4111yescharacteristic
352C4×C17#52511yescharacteristic
353C4×C17#52911yescharacteristic
354Dic17—22no—
355Dic17—42no—
356Dic17—41no—
357Dic17—41no—
358Dic17—81no—
359Dic17—81no—
360C22×SD16—171no—
361C22×M16—171no—
362C22×M16—171no—
363C2×C22⋊Q8—171no—
364C2×#121—171no—
365C2×C4×Q8C2×D1711yescharacteristic
366C2×C4×D4—171no—
367C2×C4×D4—341no—
368C22×C42—171no—
369#468—178no—
370C4×SD16—344no—
371C2×#107—171no—
372C2×#107—171no—
373C2×#106—171no—
374C2×#103—171no—
375C2×#103C2×D1711yescharacteristic
376C2×#103C2×D1711yescharacteristic
377C2×#102—171no—
378C2×#102—171no—
379C2×#102—171no—
380C4×M16—344no—
381C2×#97—171no—
382C2×#97—171no—
383C2×C4×C8—171no—
384C2×C4×C8C2×D1711yescharacteristic
385#391—171no—
386#390—171no—
387#389—171no—
388#389—171no—
389#388—341no—
390#387—341no—
391#386—341no—
392#385—341no—
393#380—171no—
394#380—171no—
395C4×C4⋊C4—171no—
396C4×C4⋊C4—341no—
397C4×C4⋊C4C2×D1711yescharacteristic
398C4×C22⋊C4—341no—
399C4×C22⋊C4—341no—
400#340—171no—
401#340—171no—
402#340—171no—
403#340—171no—
404#340C2×D1711yescharacteristic
405#340C2×D1711yescharacteristic
406C2×C17C4×#12111yescharacteristic
407C2×C17C4×AGL(1,ℤ/8)11yescharacteristic
408C2×C17C4×#13711yescharacteristic
409C2×C17C2×#46811yescharacteristic
410C2×C17#305411yescharacteristic
411C2×C17#317111yescharacteristic
412C2×C17#317211yescharacteristic
413D17—42no—
414D17—82no—
415C22×Q8C22×D1711yescharacteristic
416C22×D4—171no—
417C22×D4—341no—
418C23×C4—171no—
419C23×C4—171no—
420C23×C4—171no—
421C23×C4—341no—
422C2×SD16—174no—
423C2×SD16—342no—
424C2×SD16—342no—
425C2×M16—174no—
426C2×M16—342no—
427C2×M16—342no—
428C2×M16—342no—
429C2×M16—342no—
430C2×M16—342no—
431C22×C8—171no—
432C22×C8—171no—
433C22×C8C22×D1711yescharacteristic
434C22×C8C22×D1711yescharacteristic
435C22⋊Q8—174no—
436C22⋊Q8—342no—
437#121—174no—
438#121—342no—
439C4×Q8—22no—
440C4×Q8—22no—
441C4×D4—342no—
442C4×D4—342no—
443C4×D4—684no—
444C2×C4⋊C4—21no—
445C2×C4⋊C4—171no—
446C2×C4⋊C4—171no—
447C2×C4⋊C4—171no—
448C2×C4⋊C4—341no—
449C2×C4⋊C4—341no—
450C2×C4⋊C4—341no—
451C2×C4⋊C4C22×D1711yescharacteristic
452C2×C4⋊C4C22×D1711yescharacteristic
453C2×C4⋊C4C22×D1711yescharacteristic
454C2×C22⋊C4—341no—
455C2×C22⋊C4—341no—
456C2×C22⋊C4—341no—
457C2×C22⋊C4—341no—
458C2×C22⋊C4—341no—
459C2×C22⋊C4—341no—
460C2×C22⋊C4—341no—
461C2×C42—21no—
462C2×C42—21no—
463C2×C42—171no—
464C2×C42—171no—
465C2×C42—171no—
466C2×C42—342no—
467C2×C42—342no—
468C2×C42—341no—
469C2×C42C22×D1711yescharacteristic
470#107—174no—
471#107—342no—
472#106—342no—
473#103—22no—
474#103—342no—
475#103C4×D1714yescomplemented
476#102—174no—
477#102—342no—
478#102—342no—
479#97—342no—
480#97—342no—
481C4×C8—22no—
482C4×C8—174no—
483#95—21no—
484#95—341no—
485#95—341no—
486#95—341no—
487#95—341no—
488#95—341no—
489#95—341no—
490#95—341no—
491C17C4×#46811yescharacteristic, complemented, Sylow
492C24—171no—
493C24—341no—
494C2×Q8—21no—
495C2×Q8—21no—
496C2×Q8—21no—
497C2×Q8—21no—
498C2×Q8—21no—
499C2×Q8C2×C4×D1712yes—
500C2×D4—172no—
501C2×D4—344no—
502C2×D4—341no—
503C2×D4—341no—
504C2×D4—341no—
505C2×D4—341no—
506C2×D4—341no—
507C2×D4—682no—
508C2×D4—682no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—171no—
514C22×C4—172no—
515C22×C4—172no—
516C22×C4—171no—
517C22×C4—171no—
518C22×C4—341no—
519C22×C4—341no—
520C22×C4—341no—
521C22×C4—341no—
522C22×C4—341no—
523C22×C4—342no—
524C22×C4—342no—
525C22×C4—342no—
526C22×C4—342no—
527C22×C4—341no—
528C22×C4—341no—
529C22×C4—681no—
530C22×C4—681no—
531C22×C4—682no—
532C22×C4—682no—
533C22×C4—682no—
534C22×C4D4×D1711yescharacteristic
535C22×C4D4×D1711yescharacteristic
536C22×C4C23×D1711yescharacteristic
537SD16—348no—
538M16—348no—
539M16—348no—
540C2×C8—21no—
541C2×C8—21no—
542C2×C8—21no—
543C2×C8—21no—
544C2×C8—172no—
545C2×C8—172no—
546C2×C8—172no—
547C2×C8—172no—
548C2×C8—341no—
549C2×C8—341no—
550C2×C8C2×C4×D1712yes—
551C2×C8#6325212yes—
552C4⋊C4—21no—
553C4⋊C4—21no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—21no—
557C4⋊C4—42no—
558C4⋊C4—172no—
559C4⋊C4—344no—
560C4⋊C4—341no—
561C4⋊C4—341no—
562C4⋊C4—341no—
563C4⋊C4—341no—
564C4⋊C4—341no—
565C4⋊C4—682no—
566C4⋊C4—682no—
567C4⋊C4C2×C4×D1712yes—
568C22⋊C4—344no—
569C22⋊C4—344no—
570C22⋊C4—682no—
571C22⋊C4—682no—
572C22⋊C4—682no—
573C22⋊C4—682no—
574C22⋊C4—682no—
575C42—42no—
576C42—42no—
577C42—341no—
578C42—341no—
579C42—342no—
580C42—342no—
581C42—682no—
582C42#6325212yes—
583C42D4×D1712yes—
584C23—172no—
585C23—341no—
586C23—341no—
587C23—341no—
588C23—341no—
589C23—341no—
590C23—341no—
591C23—342no—
592C23—681no—
593C23—681no—
594C23—681no—
595C23—681no—
596C23—681no—
597C23—681no—
598C23C2×D4×D1711yescharacteristic
599Q8—22no—
600Q8—22no—
601Q8—41no—
602Q8—41no—
603D4—342no—
604D4—342no—
605D4—688no—
606D4—681no—
607D4—681no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—22no—
611C2×C4—22no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—172no—
623C2×C4—341no—
624C2×C4—341no—
625C2×C4—342no—
626C2×C4—342no—
627C2×C4—342no—
628C2×C4—342no—
629C2×C4—342no—
630C2×C4—341no—
631C2×C4—341no—
632C2×C4—341no—
633C2×C4—341no—
634C2×C4—341no—
635C2×C4—341no—
636C2×C4—684no—
637C2×C4—681no—
638C2×C4—681no—
639C2×C4—684no—
640C2×C4—681no—
641C2×C4—681no—
642C2×C4—681no—
643C2×C4—681no—
644C2×C4—681no—
645C2×C4—681no—
646C2×C4—1364no—
647C2×C4#1058757012yes—
648C2×C4#1058757012yes—
649C2×C4#1058760012yes—
650C2×C4#1058760412yes—
651C2×C4C22×C4×D1711yescharacteristic
652C2×C4C2×#6325211yescharacteristic
653C2×C4C2×#6325211yescharacteristic
654C2×C4C2×D4×D1711yescharacteristic
655C2×C4#41×D1711yescharacteristic
656C2×C4#41×D1711yescharacteristic
657C8—22no—
658C8—22no—
659C8—174no—
660C8—342no—
661C22—342no—
662C22—342no—
663C22—342no—
664C22—681no—
665C22—681no—
666C22—681no—
667C22—681no—
668C22—682no—
669C22—682no—
670C22—682no—
671C22—1361no—
672C22—1361no—
673C22—1361no—
674C22—1361no—
675C22C4×D4×D1711yescharacteristic
676C22C2×#1058757011yescharacteristic
677C22#1176335611yescharacteristic
678C22C2×#1058760011yescharacteristic
679C22C2×#1058760411yescharacteristic
680C22#1176360611yescharacteristic
681C22#1176360611yescharacteristic
682C4—22no—
683C4—42no—
684C4—42no—
685C4—81no—
686C4—81no—
687C4—342no—
688C4—682no—
689C4—681no—
690C4—681no—
691C4—1361no—
692C4—1361no—
693C4#1176305814yesdirect product factor
694C4C4×D4×D1711yescharacteristic
695C4C4×#6325211yescharacteristic
696C4#1176331811yescharacteristic
697C4#1176333711yescharacteristic
698C2—682no—
699C2—1362no—
700C2C4×#1058757011yescharacteristic
701C2C4×#1058760011yescharacteristic
702C2C4×#1058760411yescharacteristic
703C2C2×#1176305811yescharacteristic
704C2#1453839211yescharacteristic
705C2#1453937511yescharacteristic
706C2#1453938811yescharacteristic
subgroupG/H
centerC22×C4D4×D17
commutatorC2×C4×C17C23×C4
FrattiniC22×C4C23×D17
FittingC4×C17×#103C2
socleC23×C17C22×D4
prime radicalC2×#10587581C22
cosocleC22×C4×C17C24
hypercenterC4×#103D17
hypocenterC17C4×#468
LCSG ▷ C2×C4×C17 ▷ C2×C17 ▷ C17
UCSC1 ◁ C22×C4 ◁ C2×C42 ◁ C4×#103

Complements

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

NH ≅ G/Ntype
2. C2×C4×#63230C2semidirect
3. C2×C4×#63218C2semidirect
4. C4×#10587632C2semidirect
6. #14529662C2semidirect
7. #14529521C2semidirect
8. #14529479C2semidirect
9. #14529476C2semidirect
11. #14529214C2semidirect
12. #14528816C2semidirect
13. C4×#10587478C2semidirect
14. C4×#10587492C2semidirect
15. C4×C17×#103C2semidirect
24. #11763058C4direct (N × H)
81. #10587632C2×C4semidirect
84. C2×#63230C2×C4semidirect
109. C2×#63218C2×C4semidirect
118. C17×#103C2×C4semidirect
130. #10587492C2×C4semidirect
136. #10587478C2×C4semidirect
137. C4×#3622D4semidirect
307. #3622C4×D4semidirect
321. C4×#103D17semidirect
349. C4×C17#468semidirect
475. #103C4×D17semidirect
491. C17C4×#468semidirect
693. C4#11763058direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#117630582
C2×C4×#632302
C2×C4×#632182
C4×#105876322
C4×#105875812
#145296622
#145295212
#145294792
#145294762
#145292212
#145292142
#145288162
C4×#105874782
C4×#105874922
C4×C17×#1032
C4×#46817