Finite Group Databasebeta

← #28350825

Subgroups — #28350825

Order 13696.

1150 conjugacy classes of subgroups.

The subgroup lattice has 720 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20293367C212yesmaximal, complemented
2#20293366C212yesmaximal, complemented
3#20293348C211yesmaximal, characteristic, complemented
4#20293327C211yesmaximal, characteristic, complemented
5#20293323C211yesmaximal, characteristic, complemented
6#20293296C211yesmaximal, characteristic, complemented
7#20293295C212yesmaximal, complemented
8#20293277C211yesmaximal, characteristic, complemented
9#20293270C211yesmaximal, characteristic, complemented
10#20293267C212yesmaximal, complemented
11D4×C22⋊D107C211yesmaximal, characteristic, complemented
12#20293245C212yesmaximal, complemented
13#20293215C212yesmaximal, complemented
14#20293209C212yesmaximal, complemented
15#20293207C211yesmaximal, characteristic, complemented
16#20293205C211yesmaximal, characteristic, complemented
17#20293194C211yesmaximal, characteristic, complemented
18#20293193C211yesmaximal, characteristic, complemented
19#20293192C212yesmaximal, complemented
20#20293174C211yesmaximal, characteristic, complemented
21#20293174C211yesmaximal, characteristic, complemented
22#20293156C211yesmaximal, characteristic, complemented
23#546×C107C211yesmaximal, characteristic, complemented
24C2×#13133819C2211yescharacteristic, complemented
25C2×#13133818C2211yescharacteristic, complemented
26C2×#13133818C2211yescharacteristic, complemented
27C2×#13133818C2212yescomplemented
28C2×#13133817C2212yescomplemented
29C22×C22⋊D107C2212yes—
30C2×D4×D107C2211yescharacteristic
31#16812108C2211yescharacteristic, complemented
32#16812108C2211yescharacteristic, complemented
33#16812105C2211yescharacteristic
34#16812105C2211yescharacteristic
35#16812105C2212yescomplemented
36#16812105C2212yescomplemented
37#16812105C2212yescomplemented
38#16812104C2212yescomplemented
39#16812104C2212yescomplemented
40#16812102C2212yescomplemented
41#16812102C2212yescomplemented
42#16812102C2212yescomplemented
43#16812101C2211yescharacteristic, complemented
44#16812096C2212yescomplemented
45#16812095C2212yes—
46#16812095C2212yescomplemented
47#16812095C2211yescharacteristic, complemented
48#16812095C2211yescharacteristic, complemented
49#16812095C2212yescomplemented
50#16812092C2212yescomplemented
51#16812091C2212yescomplemented
52#16812091C2212yescomplemented
53#16812091C2212yescomplemented
54#16812091C2212yescomplemented
55#16812090C2212yescomplemented
56#16812088C2212yescomplemented
57#16812087C2212yescomplemented
58#16812086C2212yescomplemented
59#16812085C2211yescharacteristic, complemented
60#16812085C2211yescharacteristic, complemented
61#16812084C2211yescharacteristic, complemented
62#16812084C2211yescharacteristic, complemented
63#16812084C2212yescomplemented
64#16812083C2211yescharacteristic
65#16812083C2211yescharacteristic, complemented
66#16812083C2212yescomplemented
67#16812083C2212yescomplemented
68#16812082C2211yescharacteristic
69#16812082C2211yescharacteristic, complemented
70#16812082C2212yescomplemented
71#16812082C2212yescomplemented
72#16812082C2212yescomplemented
73#16812082C2212yescomplemented
74#16812082C2212yescomplemented
75#16812081C2212yes—
76#16812081C2212yescomplemented
77#16812081C2212yescomplemented
78#16812081C2212yescomplemented
79#16812080C2211yescharacteristic
80#16812080C2211yescharacteristic
81#16812080C2211yescharacteristic
82#16812080C2211yescharacteristic, complemented
83#16812080C2211yescharacteristic, complemented
84#16812080C2211yescharacteristic, complemented
85#16812080C2212yescomplemented
86#16812079C2212yescomplemented
87#16812079C2212yescomplemented
88#16812078C2212yes—
89#16812078C2212yescomplemented
90#16812078C2212yescomplemented
91#16812077C2212yes—
92#16812077C2212yescomplemented
93Q8×Dic107C2211yescharacteristic, complemented
94#16812074C2212yescomplemented
95C4×D428C2211yescharacteristic, complemented
96C4×D428C2211yescharacteristic, complemented
97D4×Dic107C2211yescharacteristic
98C4×C22⋊D107C2211yescharacteristic
99C4×C22⋊D107C2212yescomplemented
100C4×C22⋊D107C2211yescharacteristic, complemented
101C4×C22⋊D107C2212yescomplemented
102C4×C22⋊D107C2212yescomplemented
103(C22⋊D107)⋊C4C2212yescomplemented
104(C22⋊D107)⋊C4C2212yescomplemented
105#16812068C2211yescharacteristic, complemented
106#16812067C2211yescharacteristic, complemented
107#16812065C2212yescomplemented
108C2×C4⋊Dic107C2211yescharacteristic, complemented
109C4⋊C4×D107C2211yescharacteristic, complemented
110C22⋊C4×D107C2212yescomplemented
111C42×D107C2211yescharacteristic, complemented
112C2×#41×C107C2211yescharacteristic, complemented
113C22×D4×C107C2211yescharacteristic
114#124×C107C2211yescharacteristic
115#123×C107C2212yescomplemented
116C22⋊Q8×C107C2211yescharacteristic, complemented
117#121×C107C2211yescharacteristic
118#121×C107C2212yescomplemented
119#120×C107C2212yescomplemented
120C4×D4×C107C2211yescharacteristic, complemented
121C4×D4×C107C2211yescharacteristic, complemented
122C2×C22⋊C4×C107C2212yescomplemented
123C23×D107C2312yes—
124#13133819—42no—
125#13133818—44no—
126#13133818—42no—
127#13133818—42no—
128#13133817—44no—
129C2×Dic214C2312yes—
130C2×Dic214C2311yescharacteristic
131C2×Dic214C2311yescharacteristic
132C2×D428C2311yescharacteristic
133C2×D428C2311yescharacteristic
134C2×D428C2311yescharacteristic
135C2×D428C2312yes—
136C2×D428C2312yes—
137C2×D428C2311yescharacteristic
138C2×C22⋊D107—44no—
139C2×C22⋊D107C2311yescharacteristic
140C2×C22⋊D107C2312yes—
141C2×C22⋊D107C2311yescharacteristic
142C2×C22⋊D107C2312yes—
143C2×C22⋊D107C2312yes—
144C2×C22⋊D107C2312yes—
145C2×C22⋊D107C2312yes—
146C2×C22⋊D107C2312yes—
147C2×C22⋊D107C2311yescharacteristic
148C2×C22⋊D107C2312yes—
149C2×C22⋊D107C2312yes—
150C2×C22⋊D107C2311yescharacteristic
151C2×C22⋊D107C2311yescharacteristic
152C2×C22⋊D107C2312yes—
153C2×C22⋊D107C2312yes—
154C2×C22⋊D107C2311yescharacteristic
155D4×D107—42no—
156C22×Dic107C2312yes—
157C22×Dic107C2312yes—
158C2×C4×D107C2311yescharacteristic
159C2×C4×D107C2311yescharacteristic
160C2×C4×D107C2311yescharacteristic
161C2×C4×D107C2311yescharacteristic
162C2×C4×D107C2311yescharacteristic
163C2×C4×D107C2312yes—
164C2×C4×D107C2312yes—
165C2×C4×D107C2312yes—
166C4⋊Dic107C2311yescharacteristic
167C4⋊Dic107C2311yescharacteristic
168C4⋊Dic107C2312yes—
169C4⋊Dic107C2311yescharacteristic
170C4⋊Dic107C2311yescharacteristic
171C4⋊Dic107C2312yes—
172Dic107⋊C4C2312yes—
173Dic107⋊C4C2312yes—
174Dic107⋊C4C2312yes—
175Dic107⋊C4C2312yes—
176Dic107⋊C4C2311yescharacteristic
177Dic107⋊C4C2311yescharacteristic
178Dic107⋊C4C2312yes—
179Dic107⋊C4C2312yes—
180C22⋊Dic107C2312yes—
181C22⋊Dic107C2312yes—
182C22⋊Dic107C2312yes—
183C22⋊Dic107C2311yescharacteristic
184C22⋊Dic107C2312yes—
185C22⋊Dic107C2312yes—
186C22⋊Dic107C2312yes—
187C22⋊Dic107C2311yescharacteristic
188C22⋊Dic107C2312yes—
189(C2×D107)⋊C4C2311yescharacteristic
190(C2×D107)⋊C4C2312yes—
191(C2×D107)⋊C4C2312yes—
192(C2×D107)⋊C4C2312yes—
193(C2×D107)⋊C4C2312yes—
194(C2×D107)⋊C4C2311yescharacteristic
195(C2×D107)⋊C4C2311yescharacteristic
196(C2×D107)⋊C4C2312yes—
197(C2×D107)⋊C4C2312yes—
198(C2×D107)⋊C4C2311yescharacteristic
199(C2×D107)⋊C4C2312yes—
200C4×Dic107C2311yescharacteristic
201C4×Dic107C2311yescharacteristic
202C4×Dic107C2311yescharacteristic
203C4×Dic107C2312yes—
204C4×Dic107C2312yes—
205C4×Dic107C2312yes—
206C24×C107C2312yes—
207#41×C107—42no—
208C2×Q8×C107C2311yescharacteristic
209C2×D4×C107—42no—
210C2×D4×C107C2311yescharacteristic
211C2×D4×C107C2311yescharacteristic
212C2×D4×C107C2312yes—
213C2×D4×C107C2312yes—
214C2×D4×C107C2311yescharacteristic
215C2×D4×C107C2312yes—
216C22×C4×C107C2311yescharacteristic
217C22×C4×C107C2311yescharacteristic
218C22×C4×C107C2312yes—
219C22×C4×C107C2312yes—
220C4⋊C4×C107C2311yescharacteristic
221C4⋊C4×C107C2312yes—
222C4⋊C4×C107C2311yescharacteristic
223C22⋊C4×C107C2312yes—
224C22⋊C4×C107C2312yes—
225C22⋊C4×C107C2311yescharacteristic
226C22⋊C4×C107C2312yes—
227C22⋊C4×C107C2311yescharacteristic
228C22⋊C4×C107C2312yes—
229C22⋊C4×C107C2312yes—
230C42×C107C2311yescharacteristic
231C23×C107—42no—
232C23×C107—42no—
233C23×C107—42no—
234C23×C107C2411yescharacteristic
235C23×C107C2412yes—
236C23×C107C2412yes—
237C23×C107C2411yescharacteristic
238C22×D107—42no—
239C22×D107—42no—
240C22×D107—42no—
241C22×D107C2411yescharacteristic
242C22×D107C2412yes—
243C22×D107C2411yescharacteristic
244C22×D107C2411yescharacteristic
245Q8×C107—22no—
246D4×C107—22no—
247D4×C107—22no—
248D4×C107—42no—
249D4×C107—41no—
250D4×C107—42no—
251D4×C107—42no—
252C2×C4×C107—22no—
253C2×C4×C107—22no—
254C2×C4×C107—42no—
255C2×C4×C107—42no—
256C2×C4×C107C2411yescharacteristic
257C2×C4×C107C2411yescharacteristic
258C2×C4×C107C2412yes—
259C2×C4×C107C2411yescharacteristic
260C2×C4×C107C2412yes—
261C2×C4×C107C2411yescharacteristic
262C2×C4×C107C2411yescharacteristic
263C22⋊D107—22no—
264C22⋊D107—24no—
265C22⋊D107—22no—
266C22⋊D107—42no—
267C22⋊D107—42no—
268C22⋊D107—42no—
269C22⋊D107—42no—
270C22⋊D107—42no—
271C22⋊D107—42no—
272C22⋊D107—42no—
273C22⋊D107—42no—
274C22⋊D107—42no—
275C22⋊D107—41no—
276C22⋊D107—41no—
277C22⋊D107—41no—
278C22⋊D107—41no—
279C2×Dic107—24no—
280C2×Dic107—42no—
281C2×Dic107C2412yes—
282C2×Dic107C2411yescharacteristic
283C2×Dic107C2411yescharacteristic
284C2×Dic107C2411yescharacteristic
285C2×Dic107C2412yes—
286C2×Dic107C2412yes—
287C2×Dic107C2411yescharacteristic
288C2×Dic107C2411yescharacteristic
289D428—22no—
290D428—41no—
291D428—42no—
292D428—41no—
293D428—41no—
294D428—42no—
295C4×D107—22no—
296C4×D107—22no—
297C4×D107—22no—
298C4×D107—22no—
299C4×D107—41no—
300C4×D107—42no—
301C4×D107—42no—
302C4×D107—42no—
303Dic214—24no—
304Dic214—41no—
305Dic214—41no—
306C22×C107—22no—
307C22×C107—21no—
308C22×C107—22no—
309C22×C107—21no—
310C22×C107—21no—
311C22×C107—21no—
312C22×C107—22no—
313C22×C107—22no—
314C22×C107—21no—
315C22×C107—22no—
316C22×C107—22no—
317C22×C107—21no—
318C22×C107—84no—
319C22×C107C2511yescharacteristic
320C2×D107—21no—
321C2×D107—21no—
322C2×D107—21no—
323C2×D107—21no—
324C2×D107—21no—
325C2×D107—22no—
326C2×D107—22no—
327C2×D107—21no—
328C2×D107—21no—
329C2×D107—21no—
330C2×D107—21no—
331C2×D107—22no—
332C2×D107—84no—
333C4×C107—22no—
334C4×C107—21no—
335C4×C107—21no—
336C4×C107—21no—
337C4×C107—22no—
338C4×C107—21no—
339C4×C107H(5,𝔽2)12yes—
340Dic107—22no—
341Dic107—21no—
342Dic107—21no—
343Dic107—21no—
344Dic107—22no—
345Dic107—21no—
346Dic107—22no—
347Dic107H(5,𝔽2)12yes—
348C2×C107—42no—
349C2×C107—41no—
350C2×C107—42no—
351C2×C107—41no—
352C2×C107C2×H(5,𝔽2)11yescharacteristic
353C2×C107C2×H(5,𝔽2)11yescharacteristic
354C2×C107#58511yescharacteristic
355D107—41no—
356D107—41no—
357D107—42no—
358D107—41no—
359#3546—1071nomaximal, Sylow
360C107#354611yescharacteristic, complemented, Sylow
361#560—1072no—
362#560—1072no—
363#556—1071no—
364#553—1071no—
365#553—1071no—
366#550—1071no—
367#550—1072no—
368#547—1071no—
369#546—1071no—
370#546—1072no—
371#546D10711yescharacteristic, complemented
372D42—1071no—
373#542—1072no—
374#538—1072no—
375#538—1072no—
376#537—1071no—
377#537—1071no—
378#535—1071no—
379#535—1071no—
380#535—1072no—
381#532—1071no—
382#532—1071no—
383#529—1071no—
384C2×#41—1071no—
385C2×#41—1072no—
386C2×#41—1071no—
387C2×#41—1071no—
388C2×#41—1072no—
389C2×#41C2×D10711yescharacteristic, complemented
390C22×D4—1072no—
391C22×D4—1071no—
392C22×D4C2×D10711yescharacteristic
393C4⋊Q8—1071no—
394C4⋊Q8—1071no—
395#127—1071no—
396#127—1071no—
397#127—1072no—
398#127—1072no—
399#127—1072no—
400#126—1072no—
401#126—1072no—
402#126—1072no—
403#126—1072no—
404#126—1072no—
405#125—1071no—
406#124—1072no—
407#124—1072no—
408#124—1071no—
409#124—1071no—
410#124—1072no—
411#124—1072no—
412#124C2×D10711yescharacteristic
413#123—1072no—
414#123—1072no—
415#123—1072no—
416#123—1072no—
417#123—1072no—
418#123—1072no—
419#123C2×D10712yescomplemented
420C22⋊Q8—1071no—
421C22⋊Q8—1071no—
422C22⋊Q8—1072no—
423C22⋊Q8—1072no—
424C22⋊Q8—1072no—
425C22⋊Q8C2×D10711yescharacteristic, complemented
426#121—1071no—
427#121—1071no—
428#121—1071no—
429#121—1072no—
430#121—1071no—
431#121—1071no—
432#121—1072no—
433#121—1071no—
434#121—1072no—
435#121—1072no—
436#121—1072no—
437#121—1071no—
438#121—1071no—
439#121—1072no—
440#121—1072no—
441#121—1071no—
442#121—1071no—
443#121—1072no—
444#121—1071no—
445#121—1071no—
446#121—1072no—
447#121—1072no—
448#121—1072no—
449#121—1072no—
450#121—1072no—
451#121C2×D10711yescharacteristic
452#121C2×D10712yescomplemented
453#120—1072no—
454#120—1072no—
455#120—1072no—
456#120—1072no—
457#120—1072no—
458#120—1072no—
459#120—1072no—
460#120C2×D10712yescomplemented
461C4×Q8—1071no—
462C4×Q8—1072no—
463C4×D4—1071no—
464C4×D4—1072no—
465C4×D4—1071no—
466C4×D4—1071no—
467C4×D4—1072no—
468C4×D4—1072no—
469C4×D4—1072no—
470C4×D4—1072no—
471C4×D4—1071no—
472C4×D4—1071no—
473C4×D4C2×D10711yescharacteristic, complemented
474C4×D4C2×D10711yescharacteristic, complemented
475#117—1071no—
476#117—1071no—
477#117—1072no—
478C2×C4⋊C4—1071no—
479C2×C4⋊C4—1071no—
480C2×C22⋊C4—1072no—
481C2×C22⋊C4C2×D10712yescomplemented
482C2×C42—1071no—
483C24—1072no—
484C24C22×D10712yes—
485#41—42no—
486#41—4282no—
487#41—4282no—
488#41—4284no—
489#41—4284no—
490#41—4282no—
491C2×Q8—1071no—
492C2×Q8—1071no—
493C2×Q8—1072no—
494C2×Q8C22×D10711yescharacteristic
495C2×D4—42no—
496C2×D4—1072no—
497C2×D4—1072no—
498C2×D4—1072no—
499C2×D4—1072no—
500C2×D4—1071no—
501C2×D4—1072no—
502C2×D4—1071no—
503C2×D4—1071no—
504C2×D4—1072no—
505C2×D4—1072no—
506C2×D4—1072no—
507C2×D4—1072no—
508C2×D4—1071no—
509C2×D4—1071no—
510C2×D4—1072no—
511C2×D4—1071no—
512C2×D4—1071no—
513C2×D4—1071no—
514C2×D4—1072no—
515C2×D4—1072no—
516C2×D4—1071no—
517C2×D4—1071no—
518C2×D4—4282no—
519C2×D4—4284no—
520C2×D4C22×D10711yescharacteristic
521C2×D4C22×D10711yescharacteristic
522C2×D4C22×D10711yescharacteristic
523C2×D4C22×D10712yes—
524C2×D4C22×D10712yes—
525C2×D4C22×D10712yes—
526C22×C4—1072no—
527C22×C4—1072no—
528C22×C4—1071no—
529C22×C4—1072no—
530C22×C4—1072no—
531C22×C4—1072no—
532C22×C4—1071no—
533C22×C4—1071no—
534C22×C4—1071no—
535C22×C4—1071no—
536C22×C4C22×D10711yescharacteristic
537C22×C4C22×D10711yescharacteristic
538C22×C4C22×D10712yes—
539C22×C4C22×D10712yes—
540C4⋊C4—1071no—
541C4⋊C4—1071no—
542C4⋊C4—1072no—
543C4⋊C4—1072no—
544C4⋊C4—1071no—
545C4⋊C4—1072no—
546C4⋊C4—1072no—
547C4⋊C4—1071no—
548C4⋊C4—1072no—
549C4⋊C4—1071no—
550C4⋊C4—1072no—
551C4⋊C4—1071no—
552C4⋊C4—1072no—
553C4⋊C4—1072no—
554C4⋊C4C22×D10711yescharacteristic
555C4⋊C4C22×D10711yescharacteristic
556C4⋊C4C22×D10712yes—
557C22⋊C4—1072no—
558C22⋊C4—1072no—
559C22⋊C4—1072no—
560C22⋊C4—1071no—
561C22⋊C4—1072no—
562C22⋊C4—1072no—
563C22⋊C4—1072no—
564C22⋊C4—1072no—
565C22⋊C4—1071no—
566C22⋊C4—1071no—
567C22⋊C4—1072no—
568C22⋊C4—1072no—
569C22⋊C4—1071no—
570C22⋊C4—1071no—
571C22⋊C4—1072no—
572C22⋊C4—1072no—
573C22⋊C4—1072no—
574C22⋊C4—1072no—
575C22⋊C4—1072no—
576C22⋊C4—1071no—
577C22⋊C4C22×D10712yes—
578C22⋊C4C22×D10711yescharacteristic
579C22⋊C4C22×D10712yes—
580C22⋊C4C22×D10712yes—
581C22⋊C4C22×D10712yes—
582C22⋊C4C22×D10711yescharacteristic
583C22⋊C4C22×D10712yes—
584C42—1071no—
585C42—1071no—
586C42—1071no—
587C42—1072no—
588C42—1072no—
589C42—1072no—
590C42C22×D10711yescharacteristic
591C23—42no—
592C23—42no—
593C23—42no—
594C23—1071no—
595C23—1072no—
596C23—1071no—
597C23—1071no—
598C23—4282no—
599C23—4282no—
600C23—4282no—
601C23C23×D10712yes—
602C23C23×D10711yescharacteristic
603C23C23×D10712yes—
604C23C23×D10711yescharacteristic
605Q8—22no—
606Q8—4281no—
607Q8—4281no—
608Q8—2144no—
609D4—22no—
610D4—22no—
611D4—42no—
612D4—42no—
613D4—42no—
614D4—41no—
615D4—4282no—
616D4—4281no—
617D4—4281no—
618D4—4282no—
619D4—4281no—
620D4—4282no—
621D4—4282no—
622D4—4282no—
623D4—4282no—
624D4—4282no—
625D4—4281no—
626D4—4281no—
627D4—4281no—
628D4—4281no—
629D4—4282no—
630D4—4282no—
631D4—4282no—
632D4—4282no—
633D4—2142no—
634D4—2144no—
635D4—2142no—
636D4—2142no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—42no—
640C2×C4—42no—
641C2×C4—1071no—
642C2×C4—1072no—
643C2×C4—1071no—
644C2×C4—1071no—
645C2×C4—1071no—
646C2×C4—1072no—
647C2×C4—1071no—
648C2×C4—1072no—
649C2×C4—4282no—
650C2×C4—4282no—
651C2×C4—4282no—
652C2×C4—4281no—
653C2×C4—4282no—
654C2×C4—2142no—
655C2×C4—2144no—
656C2×C4—2142no—
657C2×C4—2142no—
658C2×C4—2142no—
659C2×C4C23×D10711yescharacteristic
660C2×C4C23×D10711yescharacteristic
661C2×C4C23×D10711yescharacteristic
662C2×C4C23×D10712yes—
663C2×C4C23×D10712yes—
664C2×C4C23×D10711yescharacteristic
665C2×C4C23×D10711yescharacteristic
666C22—22no—
667C22—21no—
668C22—22no—
669C22—21no—
670C22—21no—
671C22—21no—
672C22—22no—
673C22—22no—
674C22—21no—
675C22—21no—
676C22—22no—
677C22—22no—
678C22—84no—
679C22—8564no—
680C22—2141no—
681C22—2142no—
682C22—2141no—
683C22—2141no—
684C22—2142no—
685C22—2141no—
686C22—2141no—
687C22—2141no—
688C22—2141no—
689C22—2141no—
690C22—2142no—
691C22—2141no—
692C22C24×D10711yescharacteristic
693C4—21no—
694C4—22no—
695C4—21no—
696C4—21no—
697C4—22no—
698C4—21no—
699C4—1072no—
700C4—2142no—
701C4—2142no—
702C4—2141no—
703C4—2141no—
704C4—2141no—
705C4—2141no—
706C4—2142no—
707C4#1681215412yes—
708C2—41no—
709C2—42no—
710C2—42no—
711C2—41no—
712C2—4281no—
713C2—4282no—
714C2—4281no—
715C2—4281no—
716C2H(5,𝔽2)×D10711yescharacteristic
717C2C2×#1681215411yescharacteristic
718C2#2029346311yescharacteristic
subgroupG/H
center, FrattiniC22C24×D107
commutator, socle, cosocleC22×C107C25
Fitting#546×C107C2
hypercenter#546D107
hypocenterC107#3546
LCSG ▷ C22×C107 ▷ C107
UCSC1 ◁ C22 ◁ #546

Complements

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

NH ≅ G/Ntype
1. #20293367C2semidirect
2. #20293366C2semidirect
3. #20293348C2semidirect
4. #20293327C2semidirect
5. #20293323C2semidirect
6. #20293296C2semidirect
7. #20293295C2semidirect
8. #20293277C2semidirect
9. #20293270C2semidirect
10. #20293267C2semidirect
11. D4×C22⋊D107C2semidirect
12. #20293245C2semidirect
13. #20293215C2semidirect
14. #20293209C2semidirect
15. #20293207C2semidirect
16. #20293205C2semidirect
17. #20293194C2semidirect
18. #20293193C2semidirect
19. #20293192C2semidirect
20. #20293174C2semidirect
21. #20293174C2semidirect
22. #20293156C2semidirect
23. #546×C107C2semidirect
24. C2×#13133819C22semidirect
25. C2×#13133818C22semidirect
26. C2×#13133818C22semidirect
27. C2×#13133818C22semidirect
28. C2×#13133817C22semidirect
31. #16812108C22semidirect
32. #16812108C22semidirect
35. #16812105C22semidirect
36. #16812105C22semidirect
37. #16812105C22semidirect
38. #16812104C22semidirect
39. #16812104C22semidirect
40. #16812102C22semidirect
41. #16812102C22semidirect
42. #16812102C22semidirect
43. #16812101C22semidirect
44. #16812096C22semidirect
46. #16812095C22semidirect
47. #16812095C22semidirect
48. #16812095C22semidirect
49. #16812095C22semidirect
50. #16812092C22semidirect
51. #16812091C22semidirect
52. #16812091C22semidirect
53. #16812091C22semidirect
54. #16812091C22semidirect
55. #16812090C22semidirect
56. #16812088C22semidirect
57. #16812087C22semidirect
58. #16812086C22semidirect
59. #16812085C22semidirect
60. #16812085C22semidirect
61. #16812084C22semidirect
62. #16812084C22semidirect
63. #16812084C22semidirect
65. #16812083C22semidirect
66. #16812083C22semidirect
67. #16812083C22semidirect
69. #16812082C22semidirect
70. #16812082C22semidirect
71. #16812082C22semidirect
72. #16812082C22semidirect
73. #16812082C22semidirect
74. #16812082C22semidirect
76. #16812081C22semidirect
77. #16812081C22semidirect
78. #16812081C22semidirect
82. #16812080C22semidirect
83. #16812080C22semidirect
84. #16812080C22semidirect
85. #16812080C22semidirect
86. #16812079C22semidirect
87. #16812079C22semidirect
89. #16812078C22semidirect
90. #16812078C22semidirect
92. #16812077C22semidirect
93. Q8×Dic107C22semidirect
94. #16812074C22semidirect
95. C4×D428C22semidirect
96. C4×D428C22semidirect
99. C4×C22⋊D107C22semidirect
100. C4×C22⋊D107C22semidirect
101. C4×C22⋊D107C22semidirect
102. C4×C22⋊D107C22semidirect
103. (C22⋊D107)⋊C4C22semidirect
104. (C22⋊D107)⋊C4C22semidirect
105. #16812068C22semidirect
106. #16812067C22semidirect
107. #16812065C22semidirect
108. C2×C4⋊Dic107C22semidirect
109. C4⋊C4×D107C22semidirect
110. C22⋊C4×D107C22semidirect
111. C42×D107C22semidirect
112. C2×#41×C107C22semidirect
115. #123×C107C22semidirect
116. C22⋊Q8×C107C22semidirect
118. #121×C107C22semidirect
119. #120×C107C22semidirect
120. C4×D4×C107C22semidirect
121. C4×D4×C107C22semidirect
122. C2×C22⋊C4×C107C22semidirect
360. C107#3546semidirect
371. #546D107semidirect
389. C2×#41C2×D107semidirect
419. #123C2×D107semidirect
425. C22⋊Q8C2×D107semidirect
452. #121C2×D107semidirect
460. #120C2×D107semidirect
473. C4×D4C2×D107semidirect
474. C4×D4C2×D107semidirect
481. C2×C22⋊C4C2×D107semidirect

Maximal subgroups

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

subgroupindex
#202933672
#202933662
#202933482
#202933272
#202933232
#202932962
#202932952
#202932772
#202932702
#202932672
D4×C22⋊D1072
#202932452
#202932152
#202932092
#202932072
#202932052
#202931942
#202931932
#202931922
#202931742
#202931562
#546×C1072
#3546107