Finite Group Databasebeta

← #31018604

Subgroups — #31018604

Order 17152.

2714 conjugacy classes of subgroups.

The subgroup lattice has 682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16863908C211yesmaximal, characteristic
2#22563355C214yesmaximal, complemented
3#22563187C214yesmaximal, complemented
4#22563141C212yesmaximal, complemented
5#22563135C212yesmaximal, complemented
6C4⋊C4×D268C212yesmaximal, complemented
7#22563109C212yesmaximal, complemented
8#22562938C214yesmaximal, complemented
9#22562908C214yesmaximal, complemented
10#22562818C211yesmaximal, characteristic, complemented
11#22562798C212yesmaximal, complemented
12#380×D67C212yesmaximal, complemented
13C67×#2314C211yesmaximal, characteristic, complemented
14C22×#11761628C2211yescharacteristic
15C23×C4×D67C2211yescharacteristic
16#16863908C4116yescomplemented
17C2×#14524027C2212yes—
18C2×#14524023C2212yes—
19C2×#14524018C2212yes—
20C2×#14524013C2212yes—
21C2×C4×D268C2214yes—
22C2×C4×D268C2212yes—
23C2×C4×D268C2212yes—
24C2×#14524005C2214yes—
25C2×#14524001C2212yescomplemented
26C2×C4⋊C4×D67C2212yes—
27C2×C4⋊C4×D67C2212yes—
28C2×C4⋊C4×D67C2212yescomplemented
29C2×C22⋊C4×D67C2214yes—
30#16863300C2214yescomplemented
31#16863296C2214yes—
32#16863294C2214yescomplemented
33#16863292C2214yescomplemented
34#16863289C2214yes—
35#16863287C2214yescomplemented
36#16863285C2214yescomplemented
37#16863282C2214yescomplemented
38#16863281C2214yescomplemented
39#16863279C2214yescomplemented
40#16863274C2214yes—
41#16863274C2214yes—
42#16863274C2214yescomplemented
43#16863272C2214yes—
44#16863270C2214yes—
45#16863270C2214yescomplemented
46#16863267C2214yes—
47#16863267C2214yescomplemented
48#16863266C2211yescharacteristic, complemented
49#16863262C2211yescharacteristic, complemented
50#16863256C2212yes—
51#16863255C2214yes—
52#16863254C2214yes—
53#16863253C2212yes—
54#16863253C2212yes—
55#16863253C2212yescomplemented
56#16863253C2212yescomplemented
57C4×C4⋊Dic67C2212yescomplemented
58C4×(C2×D67)⋊C4C2214yes—
59#16863243C2214yes—
60#95×D67C2214yes—
61C2×#117×C67C2211yescharacteristic
62#388×C67C2214yes—
63#387×C67C2214yescomplemented
64#384×C67C2211yescharacteristic, complemented
65#382×C67C2211yescharacteristic, complemented
66#380×C67C2212yes—
67C4×C4⋊C4×C67C2212yescomplemented
68C24×D67C2311yescharacteristic
69C2×#11761628—42no—
70C2×#11761628—42no—
71C2×#11761628C2×C418yescomplemented
72C22×Dic134C2311yescharacteristic
73C22×D268C2312yes—
74C22×D268C2312yes—
75C22×D268C2311yescharacteristic
76C22×C22⋊D67C2312yes—
77C23×Dic67C2311yescharacteristic
78C22×C4×D67—42no—
79C22×C4×D67—42no—
80C22×C4×D67C2×C418yescomplemented
81C22×C4×D67C2312yes—
82C22×C4×D67C2312yes—
83C22×C4×D67C2314yes—
84C22×C4×D67C2314yes—
85C22×C4×D67C2314yes—
86C22×C4×D67C2312yes—
87#14524027C2×C4116yescomplemented
88#14524023C2×C4116yescomplemented
89#14524018C2×C4116yescomplemented
90#14524013C2×C4116yescomplemented
91C4×D268—48no—
92C4×D268C2×C4116yescomplemented
93C4×D268C2×C4116yescomplemented
94#14524005—48no—
95#14524001—44no—
96C2×C4⋊Dic67C2312yes—
97C2×C4⋊Dic67C2312yes—
98C2×C4⋊Dic67C2314yes—
99C2×C4⋊Dic67C2312yes—
100C2×C4⋊Dic67C2312yes—
101C2×Dic67⋊C4C2314yes—
102C2×Dic67⋊C4C2314yes—
103C2×Dic67⋊C4C2314yes—
104C4⋊C4×D67—44no—
105C4⋊C4×D67—44no—
106C4⋊C4×D67—44no—
107C2×C22⋊Dic67C2314yes—
108C2×(C2×D67)⋊C4C2314yes—
109C2×(C2×D67)⋊C4C2314yes—
110C2×(C2×D67)⋊C4C2314yes—
111C2×(C2×D67)⋊C4C2314yes—
112C2×(C2×D67)⋊C4C2314yes—
113C2×(C2×D67)⋊C4C2312yes—
114C2×(C2×D67)⋊C4C2312yes—
115C2×(C2×D67)⋊C4C2312yes—
116C2×(C2×D67)⋊C4C2312yes—
117C22⋊C4×D67—48no—
118C2×C4×Dic67C2314yes—
119C2×C4×Dic67C2314yes—
120C67⋊#95C2314yes—
121C67⋊#95C2314yes—
122C67⋊#95C2314yes—
123C67⋊#95C2314yes—
124C67⋊#95C2314yes—
125C67⋊#95C2314yes—
126C67⋊#95C2314yes—
127C23×C4×C67C2311yescharacteristic
128#117×C67C2×C418yescomplemented
129C2×C4⋊C4×C67C2312yes—
130C2×C4⋊C4×C67C2312yes—
131C2×C4⋊C4×C67C2314yes—
132C2×C4⋊C4×C67C2312yes—
133C2×C22⋊C4×C67C2314yes—
134C2×C22⋊C4×C67C2312yes—
135C2×C42×C67C2314yes—
136C2×C42×C67C2311yescharacteristic
137C2×C42×C67C2311yescharacteristic
138#95×C67C2314yes—
139#95×C67C2314yes—
140#95×C67C2314yes—
141C23×D67—24no—
142C23×D67—24no—
143C23×D67—41no—
144C23×D67—41no—
145C23×D67C22×C414yes—
146C23×D67C2412yes—
147C23×D67C2412yes—
148#11761628—416no—
149C2×Dic134—41no—
150C2×Dic134—41no—
151C2×Dic134C22×C414yes—
152C2×D268—24no—
153C2×D268—24no—
154C2×D268—24no—
155C2×D268—24no—
156C2×D268—41no—
157C2×D268—41no—
158C2×D268C22×C418yes—
159C2×D268C22×C418yes—
160C2×D268C22×C414yes—
161C2×C22⋊D67—42no—
162C2×C22⋊D67—42no—
163C2×C22⋊D67C22×C418yes—
164C22×Dic67—41no—
165C22×Dic67—41no—
166C22×Dic67C22×C414yes—
167C22×Dic67C2414yes—
168C22×Dic67C2414yes—
169C22×Dic67C2412yes—
170C22×Dic67C2412yes—
171C2×C4×D67—24no—
172C2×C4×D67—24no—
173C2×C4×D67—24no—
174C2×C4×D67—24no—
175C2×C4×D67—28no—
176C2×C4×D67—28no—
177C2×C4×D67—416no—
178C2×C4×D67—42no—
179C2×C4×D67—42no—
180C2×C4×D67—44no—
181C2×C4×D67—44no—
182C2×C4×D67—44no—
183C2×C4×D67—44no—
184C2×C4×D67—44no—
185C2×C4×D67—44no—
186C2×C4×D67—44no—
187C2×C4×D67C22×C418yes—
188C2×C4×D67C22×C418yes—
189C2×C4×D67C22×C418yes—
190C4⋊Dic67—24no—
191C4⋊Dic67—24no—
192C4⋊Dic67—44no—
193C4⋊Dic67C22×C418yes—
194C4⋊Dic67C22×C418yes—
195Dic67⋊C4—44no—
196Dic67⋊C4—44no—
197Dic67⋊C4—44no—
198C22⋊Dic67—44no—
199(C2×D67)⋊C4—28no—
200(C2×D67)⋊C4—28no—
201(C2×D67)⋊C4—44no—
202(C2×D67)⋊C4—44no—
203(C2×D67)⋊C4—44no—
204(C2×D67)⋊C4C22×C418yes—
205(C2×D67)⋊C4C22×C418yes—
206(C2×D67)⋊C4C22×C418yes—
207(C2×D67)⋊C4C22×C418yes—
208C4×Dic67—44no—
209C4×Dic67—44no—
210C24×C67C2411yescharacteristic
211C22×C4×C67—22no—
212C22×C4×C67—22no—
213C22×C4×C67C22×C414yes—
214C22×C4×C67C2414yes—
215C22×C4×C67C2414yes—
216C22×C4×C67C2412yes—
217C22×C4×C67C2412yes—
218C22×C4×C67C2411yescharacteristic
219C22×C4×C67C2411yescharacteristic
220C4⋊C4×C67—24no—
221C4⋊C4×C67—24no—
222C4⋊C4×C67—44no—
223C4⋊C4×C67C22×C418yes—
224C22⋊C4×C67—44no—
225C22⋊C4×C67C22×C418yes—
226C42×C67—44no—
227C42×C67C22×C414yes—
228C42×C67C22×C414yes—
229C23×C67—22no—
230C23×C67—21no—
231C23×C67—21no—
232C23×C67—22no—
233C23×C67C23×C412yes—
234C23×C67C2511yescharacteristic
235C22×D67—22no—
236C22×D67—22no—
237C22×D67—22no—
238C22×D67—22no—
239C22×D67—22no—
240C22×D67—22no—
241C22×D67—22no—
242C22×D67—22no—
243C22×D67—22no—
244C22×D67—22no—
245C22×D67—216no—
246C22×D67—44no—
247C22×D67—48no—
248C22×D67—44no—
249C22×D67—44no—
250C22×D67C23×C414yes—
251C22×D67C23×C414yes—
252C22×D67H(5,𝔽2)14yes—
253C22×D672−1+414yes—
254C2×C4×C67—22no—
255C2×C4×C67—22no—
256C2×C4×C67—21no—
257C2×C4×C67—21no—
258C2×C4×C67—22no—
259C2×C4×C67—22no—
260C2×C4×C67—28no—
261C2×C4×C67—24no—
262C2×C4×C67—24no—
263C2×C4×C67—24no—
264C2×C4×C67—24no—
265C2×C4×C67—24no—
266C2×C4×C67—24no—
267C2×C4×C67C23×C414yes—
268C2×C4×C67C23×C414yes—
269C2×C4×C67C23×C412yes—
270C2×C4×C67C23×C412yes—
271C2×C4×C67H(5,𝔽2)12yes—
272C2×C4×C67H(5,𝔽2)12yes—
273C22⋊D67—48no—
274C2×Dic67—22no—
275C2×Dic67—22no—
276C2×Dic67—22no—
277C2×Dic67—22no—
278C2×Dic67—24no—
279C2×Dic67—24no—
280C2×Dic67—24no—
281C2×Dic67—24no—
282C2×Dic67—24no—
283C2×Dic67—24no—
284C2×Dic67—44no—
285C2×Dic67C23×C414yes—
286C2×Dic67C23×C414yes—
287D268—216no—
288D268—216no—
289D268—44no—
290C4×D67—216no—
291C4×D67—216no—
292C4×D67—48no—
293C4×D67—88no—
294C4×D67—88no—
295C4×D67—88no—
296Dic134—44no—
297C22×C67—22no—
298C22×C67—24no—
299C22×C67—42no—
300C22×C67—41no—
301C22×C67—41no—
302C22×C67C24×C411yescharacteristic
303C22×C67C2×H(5,𝔽2)12yes—
304C22×C67C2×H(5,𝔽2)11yescharacteristic
305C22×C67C2×H(5,𝔽2)11yescharacteristic
306C22×C67C2×2−1+412yes—
307C2×D67—24no—
308C2×D67—24no—
309C2×D67—24no—
310C2×D67—24no—
311C2×D67—24no—
312C2×D67—24no—
313C2×D67—24no—
314C2×D67—24no—
315C2×D67—24no—
316C2×D67—416no—
317C2×D67—42no—
318C2×D67—42no—
319C2×D67—42no—
320C2×D67—42no—
321C2×D67#52018yes—
322C4×C67—22no—
323C4×C67—24no—
324C4×C67—24no—
325C4×C67—44no—
326C4×C67—44no—
327C4×C67#51814yes—
328Dic67—24no—
329Dic67—24no—
330Dic67—44no—
331Dic67—44no—
332#34360—671nomaximal, Sylow
333C2×C67—42no—
334C2×C67C2×#51811yescharacteristic
335C2×C67C2×#52012yes—
336C2×C67#353612yes—
337C2×C67#353711yescharacteristic
338C2×C67#353811yescharacteristic
339D67—28no—
340D67—44no—
341C2×#525—671no—
342#2376—674no—
343#2358—674no—
344#2352—672no—
345#2352—672no—
346D4×C4⋊C4—672no—
347D4×C4⋊C4—672no—
348#2329—674no—
349#2325—674no—
350#2314—671no—
351#2314D6711yescharacteristic, complemented
352#2311—672no—
353C2×#380—672no—
354C67#3436011yescharacteristic, complemented, Sylow
355C22×#41—671no—
356C24×C4—671no—
357#525—6716no—
358C2×#123—672no—
359C2×C22⋊Q8—672no—
360C2×#121—672no—
361C2×#120—672no—
362C2×C4×D4—674no—
363C2×C4×D4—674no—
364C2×C4×D4—672no—
365C2×C4×D4—672no—
366C2×#117—672no—
367C2×#117C2×D6711yescharacteristic
368C22×C4⋊C4—672no—
369C22×C4⋊C4—672no—
370C22×C4⋊C4—672no—
371C22×C22⋊C4—674no—
372#391—674no—
373#390—674no—
374#389—674no—
375#389—674no—
376#388—674no—
377#388—674no—
378#388—674no—
379#388C2×D6714yes—
380#387—674no—
381#387—674no—
382#387—674no—
383#387C2×D6714yescomplemented
384#386—674no—
385#386—674no—
386#386—674no—
387#386—674no—
388#385—674no—
389#385—674no—
390#385—674no—
391#385—674no—
392#384—671no—
393#384C2×D6711yescharacteristic, complemented
394#382—671no—
395#382C2×D6711yescharacteristic, complemented
396#380—672no—
397#380—672no—
398#380—672no—
399#380—672no—
400#380—672no—
401#380—674no—
402#380—674no—
403#380C2×D6712yes—
404C4×C4⋊C4—672no—
405C4×C4⋊C4C2×D6712yescomplemented
406C4×C22⋊C4—674no—
407C4×C22⋊C4—674no—
408C2×#95—674no—
409C25—671no—
410C2×#41—2682no—
411C2×#41—2682no—
412C2×#41—678no—
413C22×Q8—671no—
414C22×D4—672no—
415C22×D4—671no—
416C22×D4—672no—
417C22×D4—672no—
418C23×C4—2682no—
419C23×C4—2682no—
420C23×C4—674no—
421C23×C4—671no—
422C23×C4—678no—
423C23×C4—672no—
424C23×C4—674no—
425C23×C4—674no—
426C23×C4—672no—
427C23×C4—672no—
428C23×C4C22×D6711yescharacteristic
429#123—6716no—
430C22⋊Q8—6716no—
431#121—6716no—
432#120—6716no—
433C4×D4—2688no—
434C4×D4—2688no—
435C4×D4—6716no—
436C4×D4—6716no—
437#117—2684no—
438#117C4×D6718yescomplemented
439C2×C4⋊C4—2684no—
440C2×C4⋊C4—2684no—
441C2×C4⋊C4—2684no—
442C2×C4⋊C4—674no—
443C2×C4⋊C4—674no—
444C2×C4⋊C4—674no—
445C2×C4⋊C4—674no—
446C2×C4⋊C4—672no—
447C2×C4⋊C4—672no—
448C2×C4⋊C4—672no—
449C2×C4⋊C4—672no—
450C2×C4⋊C4C22×D6712yes—
451C2×C4⋊C4C22×D6712yes—
452C2×C4⋊C4C22×D6714yes—
453C2×C4⋊C4C22×D6712yes—
454C2×C22⋊C4—2688no—
455C2×C22⋊C4—674no—
456C2×C22⋊C4—674no—
457C2×C22⋊C4—674no—
458C2×C22⋊C4—674no—
459C2×C22⋊C4—672no—
460C2×C22⋊C4—672no—
461C2×C22⋊C4—672no—
462C2×C22⋊C4—672no—
463C2×C22⋊C4—674no—
464C2×C22⋊C4—674no—
465C2×C22⋊C4C22×D6714yes—
466C2×C22⋊C4C22×D6712yes—
467C2×C42—674no—
468C2×C42—674no—
469C2×C42C22×D6714yes—
470C2×C42C22×D6711yescharacteristic
471C2×C42C22×D6711yescharacteristic
472#95—674no—
473#95—674no—
474#95—674no—
475#95—674no—
476#95—674no—
477#95—674no—
478#95—674no—
479#95C22×D6714yes—
480#95C22×D6714yes—
481#95C22×D6714yes—
482C24—2681no—
483C24—2681no—
484C24—674no—
485C24—672no—
486C24—672no—
487C24—1344no—
488C24—1344no—
489C24C23×D6711yescharacteristic
490#41—26816no—
491C2×Q8—2681no—
492C2×Q8—2681no—
493C2×Q8—674no—
494C2×D4—2681no—
495C2×D4—2681no—
496C2×D4—2682no—
497C2×D4—2682no—
498C2×D4—678no—
499C2×D4—674no—
500C2×D4—678no—
501C2×D4—678no—
502C2×D4—1344no—
503C2×D4—1344no—
504C2×D4—1344no—
505C2×D4—1344no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—2682no—
509C22×C4—2682no—
510C22×C4—26816no—
511C22×C4—2684no—
512C22×C4—2684no—
513C22×C4—2684no—
514C22×C4—2684no—
515C22×C4—2684no—
516C22×C4—2684no—
517C22×C4—2684no—
518C22×C4—2681no—
519C22×C4—2681no—
520C22×C4—674no—
521C22×C4—678no—
522C22×C4—672no—
523C22×C4—672no—
524C22×C4—678no—
525C22×C4—678no—
526C22×C4—674no—
527C22×C4—674no—
528C22×C4—1348no—
529C22×C4—1348no—
530C22×C4—1344no—
531C22×C4—1344no—
532C22×C4—1344no—
533C22×C4—1344no—
534C22×C4C2×C4×D6714yes—
535C22×C4C23×D6714yes—
536C22×C4C23×D6714yes—
537C22×C4C23×D6711yescharacteristic
538C22×C4C23×D6712yes—
539C22×C4C23×D6712yes—
540C22×C4C23×D6711yescharacteristic
541C4⋊C4—24no—
542C4⋊C4—24no—
543C4⋊C4—44no—
544C4⋊C4—2684no—
545C4⋊C4—2684no—
546C4⋊C4—2684no—
547C4⋊C4—2684no—
548C4⋊C4—678no—
549C4⋊C4—678no—
550C4⋊C4—1344no—
551C4⋊C4—1344no—
552C4⋊C4C2×C4×D6718yes—
553C22⋊C4—44no—
554C22⋊C4—2684no—
555C22⋊C4—2684no—
556C22⋊C4—2684no—
557C22⋊C4—2684no—
558C22⋊C4—678no—
559C22⋊C4—678no—
560C22⋊C4—678no—
561C22⋊C4—678no—
562C22⋊C4—1348no—
563C22⋊C4—1348no—
564C22⋊C4C2×C4×D6718yes—
565C42—44no—
566C42—2684no—
567C42—2684no—
568C42C2×C4×D6714yes—
569C42C2×C4×D6714yes—
570C23—22no—
571C23—21no—
572C23—21no—
573C23—22no—
574C23—2684no—
575C23—2688no—
576C23—2684no—
577C23—2684no—
578C23—674no—
579C23—674no—
580C23—674no—
581C23—674no—
582C23—13416no—
583C23—1342no—
584C23—1342no—
585C23—1342no—
586C23—1342no—
587C23—1342no—
588C23—1342no—
589C23—1342no—
590C23—1342no—
591C23—1342no—
592C23—1342no—
593C23C22×C4×D6712yes—
594C23C24×D6711yescharacteristic
595Q8—2684no—
596D4—2684no—
597D4—2688no—
598D4—13416no—
599D4—13416no—
600C2×C4—22no—
601C2×C4—22no—
602C2×C4—21no—
603C2×C4—21no—
604C2×C4—22no—
605C2×C4—22no—
606C2×C4—28no—
607C2×C4—24no—
608C2×C4—24no—
609C2×C4—24no—
610C2×C4—24no—
611C2×C4—24no—
612C2×C4—24no—
613C2×C4—2688no—
614C2×C4—2684no—
615C2×C4—5368no—
616C2×C4—5368no—
617C2×C4—5368no—
618C2×C4—674no—
619C2×C4—674no—
620C2×C4—1344no—
621C2×C4—1344no—
622C2×C4—1344no—
623C2×C4—1344no—
624C2×C4—1344no—
625C2×C4—1344no—
626C2×C4—1342no—
627C2×C4—1342no—
628C2×C4—1342no—
629C2×C4—1342no—
630C2×C4—13416no—
631C2×C4—13416no—
632C2×C4C22×C4×D6714yes—
633C2×C4C22×C4×D6714yes—
634C2×C4C22×C4×D6712yes—
635C2×C4C22×C4×D6712yes—
636C2×C4#1452408912yes—
637C2×C4#1452408912yes—
638C22—22no—
639C22—24no—
640C22—42no—
641C22—41no—
642C22—41no—
643C22—26816no—
644C22—2682no—
645C22—2682no—
646C22—2682no—
647C22—2682no—
648C22—678no—
649C22—1344no—
650C22—1344no—
651C22—1344no—
652C22—1344no—
653C22—1344no—
654C22—1344no—
655C22—1344no—
656C22—1344no—
657C22—1344no—
658C22C23×C4×D6711yescharacteristic
659C22H(5,𝔽2)×D6712yes—
660C22C2×#1452408911yescharacteristic
661C22C2×#1452408911yescharacteristic
662C222−1+4×D6712yes—
663C4—22no—
664C4—24no—
665C4—24no—
666C4—44no—
667C4—44no—
668C4—2684no—
669C4—2684no—
670C4—1344no—
671C4—1344no—
672C4#1686387014yes—
673C2—42no—
674C2—2684no—
675C2—1348no—
676C2C2×#1686387011yescharacteristic
677C2#520×D6712yes—
678C2#2257443412yes—
679C2#2257444711yescharacteristic
680C2#2257445711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D67
commutatorC22×C67C24×C4
FittingC67×#2314C2
socle, cosocleC23×C67C25
prime radicalC2×#16863908C2
hypercenter#2314D67
hypocenterC67#34360
LCSG ▷ C22×C67 ▷ C67
UCSC1 ◁ C23 ◁ #2314

Complements

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

NH ≅ G/Ntype
2. #22563355C2semidirect
3. #22563187C2semidirect
4. #22563141C2semidirect
5. #22563135C2semidirect
6. C4⋊C4×D268C2semidirect
7. #22563109C2semidirect
8. #22562938C2semidirect
9. #22562908C2semidirect
10. #22562818C2semidirect
11. #22562798C2semidirect
12. #380×D67C2semidirect
13. C67×#2314C2semidirect
16. #16863908C4semidirect
25. C2×#14524001C22semidirect
28. C2×C4⋊C4×D67C22semidirect
30. #16863300C22semidirect
32. #16863294C22semidirect
33. #16863292C22semidirect
35. #16863287C22semidirect
36. #16863285C22semidirect
37. #16863282C22semidirect
38. #16863281C22semidirect
39. #16863279C22semidirect
42. #16863274C22semidirect
45. #16863270C22semidirect
47. #16863267C22semidirect
48. #16863266C22semidirect
49. #16863262C22semidirect
55. #16863253C22semidirect
56. #16863253C22semidirect
57. C4×C4⋊Dic67C22semidirect
63. #387×C67C22semidirect
64. #384×C67C22semidirect
65. #382×C67C22semidirect
67. C4×C4⋊C4×C67C22semidirect
71. C2×#11761628C2×C4semidirect
80. C22×C4×D67C2×C4semidirect
87. #14524027C2×C4semidirect
88. #14524023C2×C4semidirect
89. #14524018C2×C4semidirect
90. #14524013C2×C4semidirect
92. C4×D268C2×C4semidirect
93. C4×D268C2×C4semidirect
128. #117×C67C2×C4semidirect
351. #2314D67semidirect
354. C67#34360semidirect
383. #387C2×D67semidirect
393. #384C2×D67semidirect
395. #382C2×D67semidirect
405. C4×C4⋊C4C2×D67semidirect
438. #117C4×D67semidirect

Maximal subgroups

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

subgroupindex
C2×#168639082
#225633552
#225631872
#225631412
#225631352
C4⋊C4×D2682
#225631092
#225629382
#225629082
#225628182
#225627982
#380×D672
C67×#23142
#3436067