Finite Group Databasebeta

← #31820554

Subgroups — #31820554

Order 17792.

1336 conjugacy classes of subgroups.

The subgroup lattice has 668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22581696C211yesmaximal, characteristic, complemented
2#22581691C212yesmaximal, complemented
3#22581690C211yesmaximal, characteristic, complemented
4#22581634C211yesmaximal, characteristic, complemented
5#22581632C212yesmaximal, complemented
6#22581597C212yesmaximal, complemented
7#22581592C212yesmaximal, complemented
8#22581590C212yesmaximal, complemented
9D4×C22⋊D139C212yesmaximal, complemented
10#22581540C212yesmaximal, complemented
11#22581536C212yesmaximal, complemented
12#22581535C212yesmaximal, complemented
13#22581518C212yesmaximal, complemented
14#22581516C211yesmaximal, characteristic, complemented
15#22581513C211yesmaximal, characteristic, complemented
16#22581512C212yesmaximal, complemented
17C2×#17984810C212yesmaximal, complemented
18#120×D139C211yesmaximal, characteristic, complemented
19D42×C139C211yesmaximal, characteristic, complemented
20C24×D139C2211yescharacteristic, complemented
21C2×#14555784C2212yescomplemented
22C2×#14555784C2211yescharacteristic, complemented
23C22×C22⋊D139C2212yescomplemented
24C22×C22⋊D139C2212yescomplemented
25C22×C22⋊D139C2211yescharacteristic, complemented
26C2×D4×D139C2211yescharacteristic, complemented
27C2×D4×D139C2212yescomplemented
28#17984838C2211yescharacteristic, complemented
29#17984838C2212yescomplemented
30#17984837C2212yescomplemented
31#17984837C2212yescomplemented
32#17984836C2212yescomplemented
33#17984835C2212yescomplemented
34#17984830C2211yescharacteristic, complemented
35#17984829C2211yescharacteristic, complemented
36#17984829C2212yescomplemented
37#17984828C2212yescomplemented
38#17984828C2212yescomplemented
39#17984828C2212yescomplemented
40#17984828C2212yescomplemented
41#17984827C2212yescomplemented
42#17984826C2211yescharacteristic, complemented
43#17984826C2212yescomplemented
44#17984825C2212yescomplemented
45#17984825C2212yescomplemented
46#17984824C2212yescomplemented
47#17984823C2211yescharacteristic, complemented
48#17984823C2212yescomplemented
49#17984823C2212yescomplemented
50#17984823C2212yescomplemented
51#17984821C2212yescomplemented
52#17984820C2212yescomplemented
53#17984819C2212yescomplemented
54#17984816C2212yescomplemented
55#17984815C2212yescomplemented
56#17984815C2212yescomplemented
57#17984814C2212yescomplemented
58#17984814C2212yescomplemented
59#17984814C2212yescomplemented
60#17984814C2212yescomplemented
61#17984814C2212yescomplemented
62#17984814C2212yescomplemented
63#17984814C2212yescomplemented
64#17984814C2212yescomplemented
65#17984813C2212yescomplemented
66#17984813C2212yescomplemented
67#17984812C2212yescomplemented
68#17984812C2211yescharacteristic, complemented
69#17984811C2211yescharacteristic, complemented
70#17984811C2212yescomplemented
71#17984811C2211yescharacteristic, complemented
72#17984811C2212yescomplemented
73#17984810C2212yes—
74#17984810C2212yescomplemented
75#17984810C2212yescomplemented
76#17984810C2212yescomplemented
77#17984810C2212yescomplemented
78#17984810C2212yescomplemented
79#17984810C2212yescomplemented
80#17984810C2212yescomplemented
81#17984810C2211yescharacteristic, complemented
82#17984810C2212yescomplemented
83#17984810C2212yescomplemented
84D4×Dic139C2212yescomplemented
85D4×Dic139C2212yescomplemented
86C4×C22⋊D139C2212yescomplemented
87C4×C22⋊D139C2212yescomplemented
88(C22⋊D139)⋊C4C2212yescomplemented
89#17984799C2211yescharacteristic, complemented
90#17984798C2212yescomplemented
91C2×C22⋊Dic139C2212yescomplemented
92C2×C22⋊Dic139C2212yescomplemented
93C2×(C2×D139)⋊C4C2212yescomplemented
94C2×(C2×D139)⋊C4C2212yescomplemented
95C22⋊C4×D139C2211yescharacteristic, complemented
96C22⋊C4×D139C2212yescomplemented
97C22⋊C4×D139C2211yescharacteristic, complemented
98C22×D4×C139C2212yescomplemented
99C22×D4×C139C2212yescomplemented
100#127×C139C2211yescharacteristic, complemented
101#121×C139C2212yescomplemented
102#121×C139C2212yescomplemented
103#120×C139C2211yescharacteristic
104#120×C139C2212yescomplemented
105#120×C139C2211yescharacteristic, complemented
106C4×D4×C139C2212yescomplemented
107C23×D139—44no—
108C23×D139—42no—
109C23×D139C2312yes—
110C23×D139C2311yescharacteristic
111C23×D139C2311yescharacteristic
112C23×D139C2312yes—
113C23×D139C2311yescharacteristic
114#14555784—44no—
115#14555784—42no—
116C2×Dic278C2311yescharacteristic, complemented
117C2×Dic278C2312yescomplemented
118C2×D556C2311yescharacteristic
119C2×D556C2312yes—
120C2×C22⋊D139—44no—
121C2×C22⋊D139—44no—
122C2×C22⋊D139—42no—
123C2×C22⋊D139C2312yes—
124C2×C22⋊D139C2312yes—
125C2×C22⋊D139C2312yes—
126C2×C22⋊D139C2312yes—
127C2×C22⋊D139C2311yescharacteristic
128C2×C22⋊D139C2312yes—
129C2×C22⋊D139C2312yes—
130C2×C22⋊D139C2312yes—
131C2×C22⋊D139C2312yes—
132C2×C22⋊D139C2312yes—
133C2×C22⋊D139C2312yes—
134C2×C22⋊D139C2311yescharacteristic
135C2×C22⋊D139C2312yescomplemented
136C2×C22⋊D139C2312yescomplemented
137D4×D139—44no—
138D4×D139—42no—
139C22×Dic139C2312yes—
140C22×Dic139C2312yes—
141C22×Dic139C2312yescomplemented
142C22×Dic139C2312yescomplemented
143C22×Dic139C2311yescharacteristic, complemented
144C2×C4×D139C2311yescharacteristic
145C2×C4×D139C2312yes—
146C2×C4×D139C2312yescomplemented
147C4⋊Dic139C2312yescomplemented
148C4⋊Dic139C2312yescomplemented
149Dic139⋊C4C2312yescomplemented
150Dic139⋊C4C2312yescomplemented
151Dic139⋊C4C2312yescomplemented
152Dic139⋊C4C2312yescomplemented
153Dic139⋊C4C2312yescomplemented
154Dic139⋊C4C2312yescomplemented
155C22⋊Dic139C2312yes—
156C22⋊Dic139C2311yescharacteristic
157C22⋊Dic139C2312yes—
158C22⋊Dic139C2312yes—
159C22⋊Dic139C2312yes—
160C22⋊Dic139C2312yes—
161C22⋊Dic139C2311yescharacteristic, complemented
162C22⋊Dic139C2312yescomplemented
163C22⋊Dic139C2312yescomplemented
164C22⋊Dic139C2312yescomplemented
165C22⋊Dic139C2312yescomplemented
166C22⋊Dic139C2312yescomplemented
167(C2×D139)⋊C4C2312yes—
168(C2×D139)⋊C4C2312yes—
169(C2×D139)⋊C4C2312yes—
170(C2×D139)⋊C4C2312yes—
171(C2×D139)⋊C4C2312yes—
172(C2×D139)⋊C4C2312yes—
173(C2×D139)⋊C4C2312yes—
174(C2×D139)⋊C4C2312yes—
175(C2×D139)⋊C4C2312yes—
176(C2×D139)⋊C4C2312yes—
177(C2×D139)⋊C4C2312yes—
178(C2×D139)⋊C4C2312yescomplemented
179C4×Dic139C2311yescharacteristic, complemented
180C4×Dic139C2312yescomplemented
181C4×Dic139C2312yescomplemented
182C24×C139C2311yescharacteristic
183C24×C139C2312yes—
184C24×C139C2311yescharacteristic, complemented
185C2×D4×C139—44no—
186C2×D4×C139—44no—
187C2×D4×C139C2312yes—
188C2×D4×C139C2312yes—
189C2×D4×C139C2312yes—
190C2×D4×C139C2312yes—
191C2×D4×C139C2312yes—
192C2×D4×C139C2311yescharacteristic
193C2×D4×C139C2312yescomplemented
194C2×D4×C139C2312yescomplemented
195C2×D4×C139C2311yescharacteristic, complemented
196C22×C4×C139C2312yes—
197C22×C4×C139C2312yescomplemented
198C4⋊C4×C139C2312yescomplemented
199C22⋊C4×C139C2312yes—
200C22⋊C4×C139C2311yescharacteristic
201C22⋊C4×C139C2311yescharacteristic, complemented
202C22⋊C4×C139C2312yescomplemented
203C22⋊C4×C139C2312yescomplemented
204C42×C139C2311yescharacteristic, complemented
205C22×D139—24no—
206C22×D139—24no—
207C22×D139—22no—
208C22×D139—24no—
209C22×D139—22no—
210C22×D139—42no—
211C22×D139—42no—
212C22×D139—41no—
213C22×D139—42no—
214C22×D139—42no—
215C22×D139—42no—
216C22×D139—42no—
217C22×D139—416no—
218C22×D139C2412yes—
219C22×D139C2411yescharacteristic
220C22×D139C2411yescharacteristic
221C22×D139C2411yescharacteristic
222Dic278—42no—
223Dic278—41no—
224D556—42no—
225D556—41no—
226C22⋊D139—24no—
227C22⋊D139—24no—
228C22⋊D139—24no—
229C22⋊D139—41no—
230C22⋊D139—41no—
231C22⋊D139—42no—
232C22⋊D139—42no—
233C22⋊D139—42no—
234C22⋊D139—42no—
235C22⋊D139—42no—
236C22⋊D139—42no—
237C22⋊D139—42no—
238C22⋊D139—42no—
239C22⋊D139—42no—
240C2×Dic139—24no—
241C2×Dic139—42no—
242C2×Dic139—41no—
243C2×Dic139—42no—
244C2×Dic139—42no—
245C2×Dic139C2412yes—
246C2×Dic139C2412yes—
247C2×Dic139C2412yes—
248C2×Dic139C2412yes—
249C2×Dic139C2412yes—
250C2×Dic139C2411yescharacteristic
251C4×D139—22no—
252C4×D139—42no—
253C4×D139—42no—
254C23×C139—24no—
255C23×C139—24no—
256C23×C139—41no—
257C23×C139—42no—
258C23×C139—42no—
259C23×C139—42no—
260C23×C139—41no—
261C23×C139C2411yescharacteristic
262C23×C139C2412yes—
263C23×C139C2411yescharacteristic
264C23×C139C2412yes—
265C23×C139C2412yes—
266D4×C139—24no—
267D4×C139—24no—
268D4×C139—24no—
269D4×C139—42no—
270D4×C139—42no—
271D4×C139—42no—
272D4×C139—42no—
273D4×C139—41no—
274D4×C139—41no—
275C2×C4×C139—42no—
276C2×C4×C139—42no—
277C2×C4×C139C2411yescharacteristic
278C2×C4×C139C2412yes—
279C2×C4×C139C2412yes—
280C2×C4×C139C2412yes—
281C22×C139—22no—
282C22×C139—22no—
283C22×C139—22no—
284C22×C139—22no—
285C22×C139—22no—
286C22×C139—22no—
287C22×C139—22no—
288C22×C139—22no—
289C22×C139—22no—
290C22×C139—21no—
291C22×C139—21no—
292C22×C139—22no—
293C22×C139—44no—
294C22×C139—84no—
295C22×C139—82no—
296C22×C139H(5,𝔽2)14yes—
297C22×C139C2511yescharacteristic
298C2×D139—22no—
299C2×D139—22no—
300C2×D139—21no—
301C2×D139—22no—
302C2×D139—22no—
303C2×D139—22no—
304C2×D139—21no—
305C2×D139—22no—
306C2×D139—48no—
307C2×D139—44no—
308C2×D139—48no—
309C2×D139—44no—
310C2×D139—82no—
311C2×D139H(5,𝔽2)12yes—
312C4×C139—22no—
313C4×C139—22no—
314C4×C139—22no—
315C4×C139—21no—
316Dic139—21no—
317Dic139—22no—
318Dic139—22no—
319Dic139—22no—
320Dic139—22no—
321Dic139—22no—
322C2×C139—24no—
323C2×C139—41no—
324C2×C139—41no—
325C2×C139—42no—
326C2×C139—42no—
327C2×C139C2×H(5,𝔽2)11yescharacteristic
328C2×C139C2×H(5,𝔽2)12yes—
329D139—22no—
330D139—42no—
331D139—41no—
332D139—41no—
333C139#353211yescharacteristic, complemented, Sylow
334#3532—1391nomaximal, Sylow
335H(3,𝔽4)—1391no—
336#560—1391no—
337#560—1392no—
338#551—1391no—
339#551—1392no—
340#546—1392no—
341#546—1392no—
342#546—1392no—
343D42—1392no—
344D42D13911yescharacteristic, complemented
345#538—1392no—
346#538—1392no—
347#538—1392no—
348#535—1391no—
349#535—1392no—
350#534—1392no—
351#534—1391no—
352C2×#120—1392no—
353C2×#120—1391no—
354C25—1391no—
355C2×#41—1392no—
356C2×#41—1391no—
357C22×D4—1392no—
358C22×D4—1392no—
359C22×D4—1391no—
360C22×D4—1391no—
361C22×D4—1392no—
362C22×D4C2×D13912yescomplemented
363C22×D4C2×D13912yescomplemented
364#127—1391no—
365#127—1392no—
366#127C2×D13911yescharacteristic, complemented
367#126—1392no—
368#126—1392no—
369#126—1392no—
370#126—1392no—
371#124—1391no—
372#124—1392no—
373#124—1392no—
374#124—1392no—
375#124—1392no—
376#124—1392no—
377#124—1391no—
378#123—1392no—
379#123—1392no—
380#123—1391no—
381#123—1392no—
382#123—1392no—
383#123—1392no—
384#123—1392no—
385#123—1391no—
386#123—1392no—
387#123—1392no—
388C22⋊Q8—1392no—
389C22⋊Q8—1392no—
390C22⋊Q8—1392no—
391#121—1392no—
392#121—1392no—
393#121—1392no—
394#121—1392no—
395#121—1392no—
396#121—1392no—
397#121—1392no—
398#121—1392no—
399#121—1392no—
400#121—1392no—
401#121—1392no—
402#121—1392no—
403#121—1392no—
404#121C2×D13912yescomplemented
405#121C2×D13912yescomplemented
406#120—1391no—
407#120—1392no—
408#120—1391no—
409#120—1392no—
410#120—1392no—
411#120—1392no—
412#120—1392no—
413#120—1392no—
414#120—1392no—
415#120—1392no—
416#120—1392no—
417#120—1392no—
418#120—1392no—
419#120—1391no—
420#120—1392no—
421#120—1392no—
422#120—1391no—
423#120C2×D13911yescharacteristic
424#120C2×D13912yescomplemented
425#120C2×D13911yescharacteristic, complemented
426C4×D4—1392no—
427C4×D4—1392no—
428C4×D4—1392no—
429C4×D4—1392no—
430C4×D4—1392no—
431C4×D4C2×D13912yescomplemented
432#117—1392no—
433#117—1391no—
434C2×C22⋊C4—1392no—
435C2×C22⋊C4—1392no—
436C2×C22⋊C4—1392no—
437C2×C22⋊C4—1392no—
438C2×C22⋊C4—1391no—
439C2×C22⋊C4—1392no—
440C2×C22⋊C4—1391no—
441C24—5564no—
442C24—5562no—
443C24—1392no—
444C24—1391no—
445C24—1392no—
446C24—1391no—
447C24—1391no—
448C24C22×D13911yescharacteristic
449C24C22×D13912yes—
450C24C22×D13911yescharacteristic, complemented
451#41—5564no—
452#41—5562no—
453C2×Q8—1392no—
454C2×Q8—1391no—
455C2×D4—44no—
456C2×D4—44no—
457C2×D4—5562no—
458C2×D4—5564no—
459C2×D4—5564no—
460C2×D4—5562no—
461C2×D4—5564no—
462C2×D4—1392no—
463C2×D4—1392no—
464C2×D4—1392no—
465C2×D4—1391no—
466C2×D4—1392no—
467C2×D4—1392no—
468C2×D4—1392no—
469C2×D4—1392no—
470C2×D4—1392no—
471C2×D4—1391no—
472C2×D4—1392no—
473C2×D4—1392no—
474C2×D4—1392no—
475C2×D4—1392no—
476C2×D4—1392no—
477C2×D4—1391no—
478C2×D4C22×D13912yes—
479C2×D4C22×D13912yes—
480C2×D4C22×D13912yes—
481C2×D4C22×D13912yes—
482C2×D4C22×D13912yes—
483C2×D4C22×D13911yescharacteristic
484C2×D4C22×D13912yescomplemented
485C2×D4C22×D13911yescharacteristic, complemented
486C2×D4C22×D13912yescomplemented
487C22×C4—1392no—
488C22×C4—1391no—
489C22×C4—1392no—
490C22×C4—1392no—
491C22×C4—1392no—
492C22×C4—1391no—
493C22×C4—1392no—
494C22×C4—1392no—
495C22×C4C22×D13912yes—
496C22×C4C22×D13912yescomplemented
497C4⋊C4—1392no—
498C4⋊C4—1392no—
499C4⋊C4—1392no—
500C4⋊C4—1392no—
501C4⋊C4—1392no—
502C4⋊C4—1392no—
503C4⋊C4—1392no—
504C4⋊C4—1392no—
505C4⋊C4C22×D13912yescomplemented
506C22⋊C4—1392no—
507C22⋊C4—1392no—
508C22⋊C4—1392no—
509C22⋊C4—1392no—
510C22⋊C4—1392no—
511C22⋊C4—1391no—
512C22⋊C4—1391no—
513C22⋊C4—1392no—
514C22⋊C4—1392no—
515C22⋊C4—1392no—
516C22⋊C4—1392no—
517C22⋊C4—1392no—
518C22⋊C4—1392no—
519C22⋊C4—1392no—
520C22⋊C4—1392no—
521C22⋊C4—1392no—
522C22⋊C4—1392no—
523C22⋊C4—1392no—
524C22⋊C4—1392no—
525C22⋊C4—1392no—
526C22⋊C4—1392no—
527C22⋊C4—1392no—
528C22⋊C4—1392no—
529C22⋊C4—1392no—
530C22⋊C4C22×D13912yes—
531C22⋊C4C22×D13911yescharacteristic
532C22⋊C4C22×D13911yescharacteristic, complemented
533C22⋊C4C22×D13912yescomplemented
534C22⋊C4C22×D13912yescomplemented
535C42—1391no—
536C42—1392no—
537C42—1392no—
538C42C22×D13911yescharacteristic, complemented
539C23—24no—
540C23—24no—
541C23—41no—
542C23—42no—
543C23—42no—
544C23—42no—
545C23—41no—
546C23—2784no—
547C23—2782no—
548C23—2782no—
549C23—2784no—
550C23—2784no—
551C23—5562no—
552C23—5562no—
553C23—5562no—
554C23—5561no—
555C23—5562no—
556C23—5562no—
557C23—5562no—
558C23—55616no—
559C23—1392no—
560C23—1391no—
561C23—1391no—
562C23—1391no—
563C23C23×D13911yescharacteristic
564C23C23×D13911yescharacteristic
565C23C23×D13912yes—
566C23C23×D13912yes—
567C23C23×D13912yes—
568Q8—5561no—
569Q8—5562no—
570D4—24no—
571D4—24no—
572D4—24no—
573D4—42no—
574D4—42no—
575D4—42no—
576D4—42no—
577D4—41no—
578D4—41no—
579D4—2784no—
580D4—2784no—
581D4—2784no—
582D4—5561no—
583D4—5562no—
584D4—5561no—
585D4—5561no—
586D4—5562no—
587D4—5562no—
588D4—5562no—
589D4—5562no—
590D4—5562no—
591D4—5562no—
592D4—5562no—
593D4—5562no—
594D4—5562no—
595C2×C4—42no—
596C2×C4—42no—
597C2×C4—2782no—
598C2×C4—2784no—
599C2×C4—5562no—
600C2×C4—5562no—
601C2×C4—5561no—
602C2×C4—5562no—
603C2×C4—5562no—
604C2×C4—5562no—
605C2×C4—1392no—
606C2×C4—1392no—
607C2×C4—1392no—
608C2×C4—1392no—
609C2×C4—1391no—
610C2×C4—1392no—
611C2×C4C23×D13911yescharacteristic
612C2×C4C23×D13912yes—
613C2×C4C23×D13912yes—
614C2×C4C23×D13912yes—
615C22—22no—
616C22—22no—
617C22—22no—
618C22—21no—
619C22—21no—
620C22—22no—
621C22—22no—
622C22—22no—
623C22—22no—
624C22—22no—
625C22—22no—
626C22—22no—
627C22—44no—
628C22—84no—
629C22—82no—
630C22—2782no—
631C22—2781no—
632C22—2781no—
633C22—2782no—
634C22—2782no—
635C22—2782no—
636C22—2782no—
637C22—2782no—
638C22—5568no—
639C22—5568no—
640C22—5564no—
641C22—5564no—
642C22—11122no—
643C22—1392no—
644C22#1798488714yes—
645C22C24×D13911yescharacteristic
646C4—21no—
647C4—22no—
648C4—22no—
649C4—22no—
650C4—2781no—
651C4—2782no—
652C4—2782no—
653C4—2782no—
654C4—2782no—
655C4—2782no—
656C2—24no—
657C2—41no—
658C2—42no—
659C2—41no—
660C2—42no—
661C2—2782no—
662C2—5562no—
663C2—5561no—
664C2—5561no—
665C2H(5,𝔽2)×D13911yescharacteristic
666C2C2×#1798488712yes—
subgroupG/H
center, FrattiniC22C24×D139
commutator, socle, cosocleC22×C139C25
FittingD42×C139C2
hypercenterD42D139
hypocenterC139#3532
LCSG ▷ C22×C139 ▷ C139
UCSC1 ◁ C22 ◁ D42

Complements

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

NH ≅ G/Ntype
1. #22581696C2semidirect
2. #22581691C2semidirect
3. #22581690C2semidirect
4. #22581634C2semidirect
5. #22581632C2semidirect
6. #22581597C2semidirect
7. #22581592C2semidirect
8. #22581590C2semidirect
9. D4×C22⋊D139C2semidirect
10. #22581540C2semidirect
11. #22581536C2semidirect
12. #22581535C2semidirect
13. #22581518C2semidirect
14. #22581516C2semidirect
15. #22581513C2semidirect
16. #22581512C2semidirect
17. C2×#17984810C2semidirect
18. #120×D139C2semidirect
19. D42×C139C2semidirect
20. C24×D139C22semidirect
21. C2×#14555784C22semidirect
22. C2×#14555784C22semidirect
23. C22×C22⋊D139C22semidirect
24. C22×C22⋊D139C22semidirect
25. C22×C22⋊D139C22semidirect
26. C2×D4×D139C22semidirect
27. C2×D4×D139C22semidirect
28. #17984838C22semidirect
29. #17984838C22semidirect
30. #17984837C22semidirect
31. #17984837C22semidirect
32. #17984836C22semidirect
33. #17984835C22semidirect
34. #17984830C22semidirect
35. #17984829C22semidirect
36. #17984829C22semidirect
37. #17984828C22semidirect
38. #17984828C22semidirect
39. #17984828C22semidirect
40. #17984828C22semidirect
41. #17984827C22semidirect
42. #17984826C22semidirect
43. #17984826C22semidirect
44. #17984825C22semidirect
45. #17984825C22semidirect
46. #17984824C22semidirect
47. #17984823C22semidirect
48. #17984823C22semidirect
49. #17984823C22semidirect
50. #17984823C22semidirect
51. #17984821C22semidirect
52. #17984820C22semidirect
53. #17984819C22semidirect
54. #17984816C22semidirect
55. #17984815C22semidirect
56. #17984815C22semidirect
57. #17984814C22semidirect
58. #17984814C22semidirect
59. #17984814C22semidirect
60. #17984814C22semidirect
61. #17984814C22semidirect
62. #17984814C22semidirect
63. #17984814C22semidirect
64. #17984814C22semidirect
65. #17984813C22semidirect
66. #17984813C22semidirect
67. #17984812C22semidirect
68. #17984812C22semidirect
69. #17984811C22semidirect
70. #17984811C22semidirect
71. #17984811C22semidirect
72. #17984811C22semidirect
74. #17984810C22semidirect
75. #17984810C22semidirect
76. #17984810C22semidirect
77. #17984810C22semidirect
78. #17984810C22semidirect
79. #17984810C22semidirect
80. #17984810C22semidirect
81. #17984810C22semidirect
82. #17984810C22semidirect
83. #17984810C22semidirect
84. D4×Dic139C22semidirect
85. D4×Dic139C22semidirect
86. C4×C22⋊D139C22semidirect
87. C4×C22⋊D139C22semidirect
88. (C22⋊D139)⋊C4C22semidirect
89. #17984799C22semidirect
90. #17984798C22semidirect
91. C2×C22⋊Dic139C22semidirect
92. C2×C22⋊Dic139C22semidirect
93. C2×(C2×D139)⋊C4C22semidirect
94. C2×(C2×D139)⋊C4C22semidirect
95. C22⋊C4×D139C22semidirect
96. C22⋊C4×D139C22semidirect
97. C22⋊C4×D139C22semidirect
98. C22×D4×C139C22semidirect
99. C22×D4×C139C22semidirect
100. #127×C139C22semidirect
101. #121×C139C22semidirect
102. #121×C139C22semidirect
104. #120×C139C22semidirect
105. #120×C139C22semidirect
106. C4×D4×C139C22semidirect
116. C2×Dic278C23semidirect
117. C2×Dic278C23semidirect
135. C2×C22⋊D139C23semidirect
136. C2×C22⋊D139C23semidirect
141. C22×Dic139C23semidirect
142. C22×Dic139C23semidirect
143. C22×Dic139C23semidirect
146. C2×C4×D139C23semidirect
147. C4⋊Dic139C23semidirect
148. C4⋊Dic139C23semidirect
149. Dic139⋊C4C23semidirect
150. Dic139⋊C4C23semidirect
151. Dic139⋊C4C23semidirect
152. Dic139⋊C4C23semidirect
153. Dic139⋊C4C23semidirect
154. Dic139⋊C4C23semidirect
161. C22⋊Dic139C23semidirect
162. C22⋊Dic139C23semidirect
163. C22⋊Dic139C23semidirect
164. C22⋊Dic139C23semidirect
165. C22⋊Dic139C23semidirect
166. C22⋊Dic139C23semidirect
178. (C2×D139)⋊C4C23semidirect
179. C4×Dic139C23semidirect
180. C4×Dic139C23semidirect
181. C4×Dic139C23semidirect
184. C24×C139C23semidirect
193. C2×D4×C139C23semidirect
194. C2×D4×C139C23semidirect
195. C2×D4×C139C23semidirect
197. C22×C4×C139C23semidirect
198. C4⋊C4×C139C23semidirect
201. C22⋊C4×C139C23semidirect
202. C22⋊C4×C139C23semidirect
203. C22⋊C4×C139C23semidirect
204. C42×C139C23semidirect
333. C139#3532semidirect
344. D42D139semidirect
362. C22×D4C2×D139semidirect
363. C22×D4C2×D139semidirect
366. #127C2×D139semidirect
404. #121C2×D139semidirect
405. #121C2×D139semidirect
424. #120C2×D139semidirect
425. #120C2×D139semidirect
431. C4×D4C2×D139semidirect
450. C24C22×D139semidirect
484. C2×D4C22×D139semidirect
485. C2×D4C22×D139semidirect
486. C2×D4C22×D139semidirect
496. C22×C4C22×D139semidirect
505. C4⋊C4C22×D139semidirect
532. C22⋊C4C22×D139semidirect
533. C22⋊C4C22×D139semidirect
534. C22⋊C4C22×D139semidirect
538. C42C22×D139semidirect

Maximal subgroups

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

subgroupindex
#225816962
#225816912
#225816902
#225816342
#225816322
#225815972
#225815922
#225815902
D4×C22⋊D1392
#225815402
#225815362
#225815352
#225815182
#225815162
#225815132
#225815122
C2×#179848102
#120×D1392
D42×C1392
#3532139