Finite Group Databasebeta

← #30652880

Subgroups — #30652880

Order 16256.

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#22550619C211yesmaximal, characteristic, complemented
2#22550614C212yesmaximal, complemented
3#22550613C211yesmaximal, characteristic, complemented
4#22550557C211yesmaximal, characteristic, complemented
5#22550555C212yesmaximal, complemented
6#22550520C212yesmaximal, complemented
7#22550515C212yesmaximal, complemented
8#22550513C212yesmaximal, complemented
9D4×C22⋊D127C212yesmaximal, complemented
10#22550463C212yesmaximal, complemented
11#22550459C212yesmaximal, complemented
12#22550458C212yesmaximal, complemented
13#22550441C212yesmaximal, complemented
14#22550439C211yesmaximal, characteristic, complemented
15#22550436C211yesmaximal, characteristic, complemented
16#22550435C212yesmaximal, complemented
17C2×#16861177C212yesmaximal, complemented
18#120×D127C211yesmaximal, characteristic, complemented
19D42×C127C211yesmaximal, characteristic, complemented
20C24×D127C2211yescharacteristic, complemented
21C2×#14523247C2212yescomplemented
22C2×#14523247C2211yescharacteristic, complemented
23C22×C22⋊D127C2212yescomplemented
24C22×C22⋊D127C2212yescomplemented
25C22×C22⋊D127C2211yescharacteristic, complemented
26C2×D4×D127C2211yescharacteristic, complemented
27C2×D4×D127C2212yescomplemented
28#16861205C2212yescomplemented
29#16861205C2211yescharacteristic, complemented
30#16861204C2212yescomplemented
31#16861204C2212yescomplemented
32#16861203C2212yescomplemented
33#16861202C2212yescomplemented
34#16861197C2211yescharacteristic, complemented
35#16861196C2211yescharacteristic, complemented
36#16861196C2212yescomplemented
37#16861195C2212yescomplemented
38#16861195C2212yescomplemented
39#16861195C2212yescomplemented
40#16861195C2212yescomplemented
41#16861194C2212yescomplemented
42#16861193C2212yescomplemented
43#16861193C2211yescharacteristic, complemented
44#16861192C2212yescomplemented
45#16861192C2212yescomplemented
46#16861191C2212yescomplemented
47#16861190C2211yescharacteristic, complemented
48#16861190C2212yescomplemented
49#16861190C2212yescomplemented
50#16861190C2212yescomplemented
51#16861188C2212yescomplemented
52#16861187C2212yescomplemented
53#16861186C2212yescomplemented
54#16861183C2212yescomplemented
55#16861182C2212yescomplemented
56#16861182C2212yescomplemented
57#16861181C2212yescomplemented
58#16861181C2212yescomplemented
59#16861181C2212yescomplemented
60#16861181C2212yescomplemented
61#16861181C2212yescomplemented
62#16861181C2212yescomplemented
63#16861181C2212yescomplemented
64#16861181C2212yescomplemented
65#16861180C2212yescomplemented
66#16861180C2212yescomplemented
67#16861179C2211yescharacteristic, complemented
68#16861179C2212yescomplemented
69#16861178C2211yescharacteristic, complemented
70#16861178C2212yescomplemented
71#16861178C2212yescomplemented
72#16861178C2211yescharacteristic, complemented
73#16861177C2212yes—
74#16861177C2212yescomplemented
75#16861177C2211yescharacteristic, complemented
76#16861177C2212yescomplemented
77#16861177C2212yescomplemented
78#16861177C2212yescomplemented
79#16861177C2212yescomplemented
80#16861177C2212yescomplemented
81#16861177C2212yescomplemented
82#16861177C2212yescomplemented
83#16861177C2212yescomplemented
84D4×Dic127C2212yescomplemented
85D4×Dic127C2212yescomplemented
86C4×C22⋊D127C2212yescomplemented
87C4×C22⋊D127C2212yescomplemented
88(C22⋊D127)⋊C4C2212yescomplemented
89#16861166C2211yescharacteristic, complemented
90#16861165C2212yescomplemented
91C2×C22⋊Dic127C2212yescomplemented
92C2×C22⋊Dic127C2212yescomplemented
93C2×(C2×D127)⋊C4C2212yescomplemented
94C2×(C2×D127)⋊C4C2212yescomplemented
95C22⋊C4×D127C2212yescomplemented
96C22⋊C4×D127C2211yescharacteristic, complemented
97C22⋊C4×D127C2211yescharacteristic, complemented
98C22×D4×C127C2212yescomplemented
99C22×D4×C127C2212yescomplemented
100#127×C127C2211yescharacteristic, complemented
101#121×C127C2212yescomplemented
102#121×C127C2212yescomplemented
103#120×C127C2211yescharacteristic
104#120×C127C2212yescomplemented
105#120×C127C2211yescharacteristic, complemented
106C4×D4×C127C2212yescomplemented
107C23×D127—44no—
108C23×D127—42no—
109C23×D127C2312yes—
110C23×D127C2311yescharacteristic
111C23×D127C2311yescharacteristic
112C23×D127C2312yes—
113C23×D127C2311yescharacteristic
114#14523247—44no—
115#14523247—42no—
116C2×Dic254C2311yescharacteristic, complemented
117C2×Dic254C2312yescomplemented
118C2×D508C2312yes—
119C2×D508C2311yescharacteristic
120C2×C22⋊D127—44no—
121C2×C22⋊D127—44no—
122C2×C22⋊D127—42no—
123C2×C22⋊D127C2312yes—
124C2×C22⋊D127C2312yes—
125C2×C22⋊D127C2312yes—
126C2×C22⋊D127C2312yes—
127C2×C22⋊D127C2312yes—
128C2×C22⋊D127C2312yes—
129C2×C22⋊D127C2311yescharacteristic
130C2×C22⋊D127C2312yes—
131C2×C22⋊D127C2312yes—
132C2×C22⋊D127C2312yes—
133C2×C22⋊D127C2311yescharacteristic
134C2×C22⋊D127C2312yes—
135C2×C22⋊D127C2312yescomplemented
136C2×C22⋊D127C2312yescomplemented
137D4×D127—44no—
138D4×D127—42no—
139C22×Dic127C2312yes—
140C22×Dic127C2312yes—
141C22×Dic127C2311yescharacteristic, complemented
142C22×Dic127C2312yescomplemented
143C22×Dic127C2312yescomplemented
144C2×C4×D127C2311yescharacteristic
145C2×C4×D127C2312yes—
146C2×C4×D127C2312yescomplemented
147C4⋊Dic127C2312yescomplemented
148C4⋊Dic127C2312yescomplemented
149Dic127⋊C4C2312yescomplemented
150Dic127⋊C4C2312yescomplemented
151Dic127⋊C4C2312yescomplemented
152Dic127⋊C4C2312yescomplemented
153Dic127⋊C4C2312yescomplemented
154Dic127⋊C4C2312yescomplemented
155C22⋊Dic127C2312yes—
156C22⋊Dic127C2312yes—
157C22⋊Dic127C2312yes—
158C22⋊Dic127C2311yescharacteristic
159C22⋊Dic127C2312yes—
160C22⋊Dic127C2312yes—
161C22⋊Dic127C2311yescharacteristic, complemented
162C22⋊Dic127C2312yescomplemented
163C22⋊Dic127C2312yescomplemented
164C22⋊Dic127C2312yescomplemented
165C22⋊Dic127C2312yescomplemented
166C22⋊Dic127C2312yescomplemented
167(C2×D127)⋊C4C2312yes—
168(C2×D127)⋊C4C2312yes—
169(C2×D127)⋊C4C2312yes—
170(C2×D127)⋊C4C2312yes—
171(C2×D127)⋊C4C2312yes—
172(C2×D127)⋊C4C2312yes—
173(C2×D127)⋊C4C2312yes—
174(C2×D127)⋊C4C2312yes—
175(C2×D127)⋊C4C2312yes—
176(C2×D127)⋊C4C2312yes—
177(C2×D127)⋊C4C2312yes—
178(C2×D127)⋊C4C2312yescomplemented
179C4×Dic127C2312yescomplemented
180C4×Dic127C2311yescharacteristic, complemented
181C4×Dic127C2312yescomplemented
182C24×C127C2311yescharacteristic
183C24×C127C2312yes—
184C24×C127C2311yescharacteristic, complemented
185C2×D4×C127—44no—
186C2×D4×C127—44no—
187C2×D4×C127C2312yes—
188C2×D4×C127C2312yes—
189C2×D4×C127C2312yes—
190C2×D4×C127C2311yescharacteristic
191C2×D4×C127C2312yes—
192C2×D4×C127C2312yes—
193C2×D4×C127C2311yescharacteristic, complemented
194C2×D4×C127C2312yescomplemented
195C2×D4×C127C2312yescomplemented
196C22×C4×C127C2312yes—
197C22×C4×C127C2312yescomplemented
198C4⋊C4×C127C2312yescomplemented
199C22⋊C4×C127C2312yes—
200C22⋊C4×C127C2311yescharacteristic
201C22⋊C4×C127C2312yescomplemented
202C22⋊C4×C127C2311yescharacteristic, complemented
203C22⋊C4×C127C2312yescomplemented
204C42×C127C2311yescharacteristic, complemented
205C22×D127—24no—
206C22×D127—24no—
207C22×D127—22no—
208C22×D127—24no—
209C22×D127—22no—
210C22×D127—42no—
211C22×D127—42no—
212C22×D127—41no—
213C22×D127—42no—
214C22×D127—42no—
215C22×D127—42no—
216C22×D127—42no—
217C22×D127—416no—
218C22×D127C2412yes—
219C22×D127C2411yescharacteristic
220C22×D127C2411yescharacteristic
221C22×D127C2411yescharacteristic
222Dic254—42no—
223Dic254—41no—
224D508—42no—
225D508—41no—
226C22⋊D127—24no—
227C22⋊D127—24no—
228C22⋊D127—24no—
229C22⋊D127—41no—
230C22⋊D127—41no—
231C22⋊D127—42no—
232C22⋊D127—42no—
233C22⋊D127—42no—
234C22⋊D127—42no—
235C22⋊D127—42no—
236C22⋊D127—42no—
237C22⋊D127—42no—
238C22⋊D127—42no—
239C22⋊D127—42no—
240C2×Dic127—24no—
241C2×Dic127—42no—
242C2×Dic127—41no—
243C2×Dic127—42no—
244C2×Dic127—42no—
245C2×Dic127C2412yes—
246C2×Dic127C2412yes—
247C2×Dic127C2412yes—
248C2×Dic127C2412yes—
249C2×Dic127C2412yes—
250C2×Dic127C2411yescharacteristic
251C4×D127—22no—
252C4×D127—42no—
253C4×D127—42no—
254C23×C127—24no—
255C23×C127—24no—
256C23×C127—41no—
257C23×C127—42no—
258C23×C127—42no—
259C23×C127—42no—
260C23×C127—41no—
261C23×C127C2411yescharacteristic
262C23×C127C2412yes—
263C23×C127C2411yescharacteristic
264C23×C127C2412yes—
265C23×C127C2412yes—
266D4×C127—24no—
267D4×C127—24no—
268D4×C127—24no—
269D4×C127—42no—
270D4×C127—42no—
271D4×C127—42no—
272D4×C127—42no—
273D4×C127—41no—
274D4×C127—41no—
275C2×C4×C127—42no—
276C2×C4×C127—42no—
277C2×C4×C127C2411yescharacteristic
278C2×C4×C127C2412yes—
279C2×C4×C127C2412yes—
280C2×C4×C127C2412yes—
281C22×C127—22no—
282C22×C127—22no—
283C22×C127—22no—
284C22×C127—22no—
285C22×C127—22no—
286C22×C127—22no—
287C22×C127—22no—
288C22×C127—22no—
289C22×C127—22no—
290C22×C127—21no—
291C22×C127—21no—
292C22×C127—22no—
293C22×C127—44no—
294C22×C127—84no—
295C22×C127—82no—
296C22×C127H(5,𝔽2)14yes—
297C22×C127C2511yescharacteristic
298C2×D127—22no—
299C2×D127—22no—
300C2×D127—21no—
301C2×D127—22no—
302C2×D127—22no—
303C2×D127—22no—
304C2×D127—21no—
305C2×D127—22no—
306C2×D127—48no—
307C2×D127—44no—
308C2×D127—48no—
309C2×D127—44no—
310C2×D127—82no—
311C2×D127H(5,𝔽2)12yes—
312C4×C127—22no—
313C4×C127—22no—
314C4×C127—22no—
315C4×C127—21no—
316Dic127—21no—
317Dic127—22no—
318Dic127—22no—
319Dic127—22no—
320Dic127—22no—
321Dic127—22no—
322C2×C127—24no—
323C2×C127—41no—
324C2×C127—41no—
325C2×C127—42no—
326C2×C127—42no—
327C2×C127C2×H(5,𝔽2)11yescharacteristic
328C2×C127C2×H(5,𝔽2)12yes—
329D127—22no—
330D127—42no—
331D127—41no—
332D127—41no—
333#3532—1271nomaximal, Sylow
334C127#353211yescharacteristic, complemented, Sylow
335H(3,𝔽4)—1271no—
336#560—1271no—
337#560—1272no—
338#551—1271no—
339#551—1272no—
340#546—1272no—
341#546—1272no—
342#546—1272no—
343D42—1272no—
344D42D12711yescharacteristic, complemented
345#538—1272no—
346#538—1272no—
347#538—1272no—
348#535—1271no—
349#535—1272no—
350#534—1272no—
351#534—1271no—
352C2×#120—1272no—
353C2×#120—1271no—
354C25—1271no—
355C2×#41—1272no—
356C2×#41—1271no—
357C22×D4—1272no—
358C22×D4—1272no—
359C22×D4—1271no—
360C22×D4—1271no—
361C22×D4—1272no—
362C22×D4C2×D12712yescomplemented
363C22×D4C2×D12712yescomplemented
364#127—1271no—
365#127—1272no—
366#127C2×D12711yescharacteristic, complemented
367#126—1272no—
368#126—1272no—
369#126—1272no—
370#126—1272no—
371#124—1271no—
372#124—1272no—
373#124—1272no—
374#124—1272no—
375#124—1272no—
376#124—1272no—
377#124—1271no—
378#123—1272no—
379#123—1272no—
380#123—1271no—
381#123—1272no—
382#123—1272no—
383#123—1272no—
384#123—1272no—
385#123—1272no—
386#123—1271no—
387#123—1272no—
388C22⋊Q8—1272no—
389C22⋊Q8—1272no—
390C22⋊Q8—1272no—
391#121—1272no—
392#121—1272no—
393#121—1272no—
394#121—1272no—
395#121—1272no—
396#121—1272no—
397#121—1272no—
398#121—1272no—
399#121—1272no—
400#121—1272no—
401#121—1272no—
402#121—1272no—
403#121—1272no—
404#121C2×D12712yescomplemented
405#121C2×D12712yescomplemented
406#120—1271no—
407#120—1272no—
408#120—1271no—
409#120—1272no—
410#120—1272no—
411#120—1272no—
412#120—1272no—
413#120—1272no—
414#120—1272no—
415#120—1272no—
416#120—1272no—
417#120—1272no—
418#120—1272no—
419#120—1271no—
420#120—1272no—
421#120—1272no—
422#120—1271no—
423#120C2×D12711yescharacteristic
424#120C2×D12712yescomplemented
425#120C2×D12711yescharacteristic, complemented
426C4×D4—1272no—
427C4×D4—1272no—
428C4×D4—1272no—
429C4×D4—1272no—
430C4×D4—1272no—
431C4×D4C2×D12712yescomplemented
432#117—1272no—
433#117—1271no—
434C2×C22⋊C4—1272no—
435C2×C22⋊C4—1272no—
436C2×C22⋊C4—1272no—
437C2×C22⋊C4—1272no—
438C2×C22⋊C4—1271no—
439C2×C22⋊C4—1272no—
440C2×C22⋊C4—1271no—
441C24—1271no—
442C24—1271no—
443C24—1272no—
444C24—1271no—
445C24—1272no—
446C24—5084no—
447C24—5082no—
448C24C22×D12711yescharacteristic
449C24C22×D12712yes—
450C24C22×D12711yescharacteristic, complemented
451#41—5084no—
452#41—5082no—
453C2×Q8—1272no—
454C2×Q8—1271no—
455C2×D4—44no—
456C2×D4—44no—
457C2×D4—1271no—
458C2×D4—1272no—
459C2×D4—1272no—
460C2×D4—1272no—
461C2×D4—1272no—
462C2×D4—1272no—
463C2×D4—1271no—
464C2×D4—1272no—
465C2×D4—1272no—
466C2×D4—1272no—
467C2×D4—1272no—
468C2×D4—1272no—
469C2×D4—1272no—
470C2×D4—1272no—
471C2×D4—1272no—
472C2×D4—1271no—
473C2×D4—5084no—
474C2×D4—5082no—
475C2×D4—5084no—
476C2×D4—5082no—
477C2×D4—5084no—
478C2×D4C22×D12712yes—
479C2×D4C22×D12712yes—
480C2×D4C22×D12712yes—
481C2×D4C22×D12712yes—
482C2×D4C22×D12712yes—
483C2×D4C22×D12711yescharacteristic
484C2×D4C22×D12712yescomplemented
485C2×D4C22×D12711yescharacteristic, complemented
486C2×D4C22×D12712yescomplemented
487C22×C4—1272no—
488C22×C4—1272no—
489C22×C4—1272no—
490C22×C4—1271no—
491C22×C4—1272no—
492C22×C4—1272no—
493C22×C4—1272no—
494C22×C4—1271no—
495C22×C4C22×D12712yes—
496C22×C4C22×D12712yescomplemented
497C4⋊C4—1272no—
498C4⋊C4—1272no—
499C4⋊C4—1272no—
500C4⋊C4—1272no—
501C4⋊C4—1272no—
502C4⋊C4—1272no—
503C4⋊C4—1272no—
504C4⋊C4—1272no—
505C4⋊C4C22×D12712yescomplemented
506C22⋊C4—1272no—
507C22⋊C4—1272no—
508C22⋊C4—1272no—
509C22⋊C4—1272no—
510C22⋊C4—1272no—
511C22⋊C4—1271no—
512C22⋊C4—1271no—
513C22⋊C4—1272no—
514C22⋊C4—1272no—
515C22⋊C4—1272no—
516C22⋊C4—1272no—
517C22⋊C4—1272no—
518C22⋊C4—1272no—
519C22⋊C4—1272no—
520C22⋊C4—1272no—
521C22⋊C4—1272no—
522C22⋊C4—1272no—
523C22⋊C4—1272no—
524C22⋊C4—1272no—
525C22⋊C4—1272no—
526C22⋊C4—1272no—
527C22⋊C4—1272no—
528C22⋊C4—1272no—
529C22⋊C4—1272no—
530C22⋊C4C22×D12712yes—
531C22⋊C4C22×D12711yescharacteristic
532C22⋊C4C22×D12711yescharacteristic, complemented
533C22⋊C4C22×D12712yescomplemented
534C22⋊C4C22×D12712yescomplemented
535C42—1271no—
536C42—1272no—
537C42—1272no—
538C42C22×D12711yescharacteristic, complemented
539C23—24no—
540C23—24no—
541C23—41no—
542C23—42no—
543C23—42no—
544C23—42no—
545C23—41no—
546C23—1271no—
547C23—1272no—
548C23—1271no—
549C23—1271no—
550C23—5082no—
551C23—5082no—
552C23—5082no—
553C23—5082no—
554C23—5081no—
555C23—5082no—
556C23—5082no—
557C23—50816no—
558C23—2542no—
559C23—2544no—
560C23—2542no—
561C23—2544no—
562C23—2544no—
563C23C23×D12711yescharacteristic
564C23C23×D12711yescharacteristic
565C23C23×D12712yes—
566C23C23×D12712yes—
567C23C23×D12712yes—
568Q8—5081no—
569Q8—5082no—
570D4—24no—
571D4—24no—
572D4—24no—
573D4—42no—
574D4—42no—
575D4—42no—
576D4—42no—
577D4—41no—
578D4—41no—
579D4—5081no—
580D4—5082no—
581D4—5081no—
582D4—5081no—
583D4—5082no—
584D4—5082no—
585D4—5082no—
586D4—5082no—
587D4—5082no—
588D4—5082no—
589D4—5082no—
590D4—5082no—
591D4—5082no—
592D4—2544no—
593D4—2544no—
594D4—2544no—
595C2×C4—42no—
596C2×C4—42no—
597C2×C4—1272no—
598C2×C4—1272no—
599C2×C4—1272no—
600C2×C4—1272no—
601C2×C4—1271no—
602C2×C4—1272no—
603C2×C4—5082no—
604C2×C4—5082no—
605C2×C4—5081no—
606C2×C4—5082no—
607C2×C4—5082no—
608C2×C4—5082no—
609C2×C4—2542no—
610C2×C4—2544no—
611C2×C4C23×D12711yescharacteristic
612C2×C4C23×D12712yes—
613C2×C4C23×D12712yes—
614C2×C4C23×D12712yes—
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—1272no—
631C22—10162no—
632C22—5088no—
633C22—5088no—
634C22—5084no—
635C22—5084no—
636C22—2541no—
637C22—2541no—
638C22—2542no—
639C22—2542no—
640C22—2542no—
641C22—2542no—
642C22—2542no—
643C22—2542no—
644C22#1686125414yes—
645C22C24×D12711yescharacteristic
646C4—21no—
647C4—22no—
648C4—22no—
649C4—22no—
650C4—2541no—
651C4—2542no—
652C4—2542no—
653C4—2542no—
654C4—2542no—
655C4—2542no—
656C2—24no—
657C2—41no—
658C2—42no—
659C2—41no—
660C2—42no—
661C2—5081no—
662C2—5081no—
663C2—5082no—
664C2—2542no—
665C2H(5,𝔽2)×D12711yescharacteristic
666C2C2×#1686125412yes—
subgroupG/H
center, FrattiniC22C24×D127
commutator, socle, cosocleC22×C127C25
FittingD42×C127C2
hypercenterD42D127
hypocenterC127#3532
LCSG ▷ C22×C127 ▷ C127
UCSC1 ◁ C22 ◁ D42

Complements

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

NH ≅ G/Ntype
1. #22550619C2semidirect
2. #22550614C2semidirect
3. #22550613C2semidirect
4. #22550557C2semidirect
5. #22550555C2semidirect
6. #22550520C2semidirect
7. #22550515C2semidirect
8. #22550513C2semidirect
9. D4×C22⋊D127C2semidirect
10. #22550463C2semidirect
11. #22550459C2semidirect
12. #22550458C2semidirect
13. #22550441C2semidirect
14. #22550439C2semidirect
15. #22550436C2semidirect
16. #22550435C2semidirect
17. C2×#16861177C2semidirect
18. #120×D127C2semidirect
19. D42×C127C2semidirect
20. C24×D127C22semidirect
21. C2×#14523247C22semidirect
22. C2×#14523247C22semidirect
23. C22×C22⋊D127C22semidirect
24. C22×C22⋊D127C22semidirect
25. C22×C22⋊D127C22semidirect
26. C2×D4×D127C22semidirect
27. C2×D4×D127C22semidirect
28. #16861205C22semidirect
29. #16861205C22semidirect
30. #16861204C22semidirect
31. #16861204C22semidirect
32. #16861203C22semidirect
33. #16861202C22semidirect
34. #16861197C22semidirect
35. #16861196C22semidirect
36. #16861196C22semidirect
37. #16861195C22semidirect
38. #16861195C22semidirect
39. #16861195C22semidirect
40. #16861195C22semidirect
41. #16861194C22semidirect
42. #16861193C22semidirect
43. #16861193C22semidirect
44. #16861192C22semidirect
45. #16861192C22semidirect
46. #16861191C22semidirect
47. #16861190C22semidirect
48. #16861190C22semidirect
49. #16861190C22semidirect
50. #16861190C22semidirect
51. #16861188C22semidirect
52. #16861187C22semidirect
53. #16861186C22semidirect
54. #16861183C22semidirect
55. #16861182C22semidirect
56. #16861182C22semidirect
57. #16861181C22semidirect
58. #16861181C22semidirect
59. #16861181C22semidirect
60. #16861181C22semidirect
61. #16861181C22semidirect
62. #16861181C22semidirect
63. #16861181C22semidirect
64. #16861181C22semidirect
65. #16861180C22semidirect
66. #16861180C22semidirect
67. #16861179C22semidirect
68. #16861179C22semidirect
69. #16861178C22semidirect
70. #16861178C22semidirect
71. #16861178C22semidirect
72. #16861178C22semidirect
74. #16861177C22semidirect
75. #16861177C22semidirect
76. #16861177C22semidirect
77. #16861177C22semidirect
78. #16861177C22semidirect
79. #16861177C22semidirect
80. #16861177C22semidirect
81. #16861177C22semidirect
82. #16861177C22semidirect
83. #16861177C22semidirect
84. D4×Dic127C22semidirect
85. D4×Dic127C22semidirect
86. C4×C22⋊D127C22semidirect
87. C4×C22⋊D127C22semidirect
88. (C22⋊D127)⋊C4C22semidirect
89. #16861166C22semidirect
90. #16861165C22semidirect
91. C2×C22⋊Dic127C22semidirect
92. C2×C22⋊Dic127C22semidirect
93. C2×(C2×D127)⋊C4C22semidirect
94. C2×(C2×D127)⋊C4C22semidirect
95. C22⋊C4×D127C22semidirect
96. C22⋊C4×D127C22semidirect
97. C22⋊C4×D127C22semidirect
98. C22×D4×C127C22semidirect
99. C22×D4×C127C22semidirect
100. #127×C127C22semidirect
101. #121×C127C22semidirect
102. #121×C127C22semidirect
104. #120×C127C22semidirect
105. #120×C127C22semidirect
106. C4×D4×C127C22semidirect
116. C2×Dic254C23semidirect
117. C2×Dic254C23semidirect
135. C2×C22⋊D127C23semidirect
136. C2×C22⋊D127C23semidirect
141. C22×Dic127C23semidirect
142. C22×Dic127C23semidirect
143. C22×Dic127C23semidirect
146. C2×C4×D127C23semidirect
147. C4⋊Dic127C23semidirect
148. C4⋊Dic127C23semidirect
149. Dic127⋊C4C23semidirect
150. Dic127⋊C4C23semidirect
151. Dic127⋊C4C23semidirect
152. Dic127⋊C4C23semidirect
153. Dic127⋊C4C23semidirect
154. Dic127⋊C4C23semidirect
161. C22⋊Dic127C23semidirect
162. C22⋊Dic127C23semidirect
163. C22⋊Dic127C23semidirect
164. C22⋊Dic127C23semidirect
165. C22⋊Dic127C23semidirect
166. C22⋊Dic127C23semidirect
178. (C2×D127)⋊C4C23semidirect
179. C4×Dic127C23semidirect
180. C4×Dic127C23semidirect
181. C4×Dic127C23semidirect
184. C24×C127C23semidirect
193. C2×D4×C127C23semidirect
194. C2×D4×C127C23semidirect
195. C2×D4×C127C23semidirect
197. C22×C4×C127C23semidirect
198. C4⋊C4×C127C23semidirect
201. C22⋊C4×C127C23semidirect
202. C22⋊C4×C127C23semidirect
203. C22⋊C4×C127C23semidirect
204. C42×C127C23semidirect
334. C127#3532semidirect
344. D42D127semidirect
362. C22×D4C2×D127semidirect
363. C22×D4C2×D127semidirect
366. #127C2×D127semidirect
404. #121C2×D127semidirect
405. #121C2×D127semidirect
424. #120C2×D127semidirect
425. #120C2×D127semidirect
431. C4×D4C2×D127semidirect
450. C24C22×D127semidirect
484. C2×D4C22×D127semidirect
485. C2×D4C22×D127semidirect
486. C2×D4C22×D127semidirect
496. C22×C4C22×D127semidirect
505. C4⋊C4C22×D127semidirect
532. C22⋊C4C22×D127semidirect
533. C22⋊C4C22×D127semidirect
534. C22⋊C4C22×D127semidirect
538. C42C22×D127semidirect

Maximal subgroups

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

subgroupindex
#225506192
#225506142
#225506132
#225505572
#225505552
#225505202
#225505152
#225505132
D4×C22⋊D1272
#225504632
#225504592
#225504582
#225504412
#225504392
#225504362
#225504352
C2×#168611772
#120×D1272
D42×C1272
#3532127