Finite Group Databasebeta

← #28350831

Subgroups — #28350831

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#20293366C212yesmaximal, complemented
2#20293364C212yesmaximal, complemented
3#20293345C211yesmaximal, characteristic, complemented
4#20293329C211yesmaximal, characteristic, complemented
5#20293321C211yesmaximal, characteristic, complemented
6#20293297C212yesmaximal, complemented
7#20293295C211yesmaximal, characteristic, complemented
8#20293277C211yesmaximal, characteristic, complemented
9#20293274C211yesmaximal, characteristic, complemented
10#20293271C211yesmaximal, characteristic, complemented
11#20293264C212yesmaximal, complemented
12D4×C22⋊D107C211yesmaximal, characteristic, complemented
13#20293241C212yesmaximal, complemented
14#20293212C212yesmaximal, complemented
15#20293211C212yesmaximal, complemented
16#20293206C211yesmaximal, characteristic, complemented
17#20293205C211yesmaximal, characteristic, complemented
18#20293193C211yesmaximal, characteristic, complemented
19#20293192C212yesmaximal, complemented
20#20293173C211yesmaximal, characteristic, complemented
21#20293172C211yesmaximal, characteristic, complemented
22#20293158C211yesmaximal, characteristic, complemented
23#535×C107C211yesmaximal, characteristic, complemented
24C2×#13133818C2211yescharacteristic, complemented
25C2×#13133818C2211yescharacteristic, complemented
26C2×#13133817C2212yescomplemented
27C2×#13133817C2212yescomplemented
28C2×#13133817C2211yescharacteristic, complemented
29C22×C22⋊D107C2212yes—
30C2×D4×D107C2211yescharacteristic
31#16812108C2211yescharacteristic, complemented
32#16812107C2211yescharacteristic, complemented
33#16812105C2211yescharacteristic
34#16812105C2211yescharacteristic
35#16812105C2212yescomplemented
36#16812105C2212yescomplemented
37#16812103C2212yescomplemented
38#16812103C2212yescomplemented
39#16812102C2212yescomplemented
40#16812102C2212yescomplemented
41#16812102C2212yescomplemented
42#16812100C2211yescharacteristic, complemented
43#16812098C2211yescharacteristic, complemented
44#16812096C2211yescharacteristic
45#16812096C2211yescharacteristic, complemented
46#16812095C2212yes—
47#16812095C2212yescomplemented
48#16812095C2212yescomplemented
49#16812093C2212yescomplemented
50#16812091C2212yescomplemented
51#16812091C2212yescomplemented
52#16812091C2212yescomplemented
53#16812090C2212yescomplemented
54#16812090C2212yescomplemented
55#16812090C2212yescomplemented
56#16812089C2211yescharacteristic, complemented
57#16812088C2211yescharacteristic, complemented
58#16812088C2211yescharacteristic, complemented
59#16812086C2212yescomplemented
60#16812086C2212yescomplemented
61#16812085C2212yescomplemented
62#16812084C2211yescharacteristic, complemented
63#16812083C2211yescharacteristic
64#16812083C2211yescharacteristic, complemented
65#16812082C2212yescomplemented
66#16812082C2212yescomplemented
67#16812082C2212yescomplemented
68#16812081C2211yescharacteristic
69#16812081C2212yes—
70#16812081C2212yescomplemented
71#16812081C2211yescharacteristic, complemented
72#16812081C2211yescharacteristic, complemented
73#16812081C2211yescharacteristic, complemented
74#16812081C2212yescomplemented
75#16812081C2212yescomplemented
76#16812081C2212yescomplemented
77#16812081C2212yescomplemented
78#16812081C2212yescomplemented
79#16812081C2212yescomplemented
80#16812080C2211yescharacteristic
81#16812080C2211yescharacteristic
82#16812080C2212yescomplemented
83#16812080C2212yescomplemented
84#16812080C2212yescomplemented
85#16812079C2212yescomplemented
86#16812078C2212yes—
87#16812078C2212yescomplemented
88#16812077C2212yes—
89#16812077C2212yescomplemented
90#16812077C2212yescomplemented
91C4×Dic214C2212yescomplemented
92#16812074C2211yescharacteristic, complemented
93C4×D428C2212yescomplemented
94D4×Dic107C2211yescharacteristic
95D4×Dic107C2212yescomplemented
96D4×Dic107C2211yescharacteristic, complemented
97D4×Dic107C2212yescomplemented
98#16812071C2211yescharacteristic, complemented
99C4×C22⋊D107C2211yescharacteristic
100C4×C22⋊D107C2211yescharacteristic, complemented
101C4×C22⋊D107C2211yescharacteristic, complemented
102C4×C22⋊D107C2211yescharacteristic, complemented
103(C22⋊D107)⋊C4C2212yescomplemented
104(C22⋊D107)⋊C4C2212yescomplemented
105#16812067C2211yescharacteristic, complemented
106#16812065C2212yescomplemented
107C2×C4⋊Dic107C2211yescharacteristic, complemented
108C4⋊C4×D107C2211yescharacteristic, complemented
109C2×C22⋊Dic107C2212yescomplemented
110C22⋊C4×D107C2212yescomplemented
111C2×C4×Dic107C2211yescharacteristic, complemented
112C2×#41×C107C2211yescharacteristic, complemented
113C22×D4×C107C2211yescharacteristic
114#127×C107C2212yescomplemented
115#124×C107C2212yescomplemented
116#121×C107C2211yescharacteristic
117#121×C107C2211yescharacteristic
118#121×C107C2211yescharacteristic, complemented
119#121×C107C2211yescharacteristic, complemented
120#120×C107C2212yescomplemented
121#120×C107C2212yescomplemented
122#117×C107C2211yescharacteristic, complemented
123C23×D107C2312yes—
124#13133818—42no—
125#13133818—42no—
126#13133817—42no—
127#13133817—44no—
128#13133817—44no—
129C2×Dic214C2311yescharacteristic
130C2×Dic214C2312yes—
131C2×Dic214C2311yescharacteristic
132C2×D428C2311yescharacteristic
133C2×D428C2312yes—
134C2×D428C2311yescharacteristic
135C2×C22⋊D107—44no—
136C2×C22⋊D107C2312yes—
137C2×C22⋊D107C2311yescharacteristic
138C2×C22⋊D107C2311yescharacteristic
139C2×C22⋊D107C2312yes—
140C2×C22⋊D107C2311yescharacteristic
141C2×C22⋊D107C2311yescharacteristic
142C2×C22⋊D107C2312yes—
143C2×C22⋊D107C2311yescharacteristic
144C2×C22⋊D107C2312yes—
145C2×C22⋊D107C2312yes—
146C2×C22⋊D107C2312yes—
147C2×C22⋊D107C2312yes—
148C2×C22⋊D107C2312yes—
149C2×C22⋊D107C2312yes—
150C2×C22⋊D107C2311yescharacteristic
151D4×D107—42no—
152C22×Dic107C2311yescharacteristic
153C22×Dic107C2312yes—
154C22×Dic107C2311yescharacteristic
155C22×Dic107C2312yes—
156C22×Dic107C2312yes—
157C22×Dic107C2312yes—
158C2×C4×D107C2311yescharacteristic
159C2×C4×D107C2311yescharacteristic
160C2×C4×D107C2312yes—
161C2×C4×D107C2312yes—
162C2×C4×D107C2312yes—
163C4⋊Dic107C2311yescharacteristic
164C4⋊Dic107C2311yescharacteristic
165C4⋊Dic107C2312yes—
166C4⋊Dic107C2312yes—
167C4⋊Dic107C2312yes—
168Dic107⋊C4C2312yes—
169Dic107⋊C4C2312yes—
170Dic107⋊C4C2312yes—
171Dic107⋊C4C2311yescharacteristic
172Dic107⋊C4C2312yes—
173Dic107⋊C4C2311yescharacteristic
174Dic107⋊C4C2311yescharacteristic
175Dic107⋊C4C2311yescharacteristic
176Dic107⋊C4C2312yes—
177Dic107⋊C4C2312yes—
178C22⋊Dic107C2312yes—
179C22⋊Dic107C2311yescharacteristic
180C22⋊Dic107C2312yes—
181C22⋊Dic107C2312yes—
182C22⋊Dic107C2312yes—
183C22⋊Dic107C2311yescharacteristic
184C22⋊Dic107C2311yescharacteristic
185C22⋊Dic107C2311yescharacteristic
186C22⋊Dic107C2312yes—
187C22⋊Dic107C2312yes—
188C22⋊Dic107C2312yes—
189C22⋊Dic107C2312yes—
190(C2×D107)⋊C4C2311yescharacteristic
191(C2×D107)⋊C4C2312yes—
192(C2×D107)⋊C4C2312yes—
193(C2×D107)⋊C4C2312yes—
194(C2×D107)⋊C4C2312yes—
195(C2×D107)⋊C4C2311yescharacteristic
196(C2×D107)⋊C4C2311yescharacteristic
197(C2×D107)⋊C4C2311yescharacteristic
198(C2×D107)⋊C4C2312yes—
199(C2×D107)⋊C4C2312yes—
200C4×Dic107C2311yescharacteristic
201C4×Dic107C2311yescharacteristic
202C4×Dic107C2311yescharacteristic
203C4×Dic107C2311yescharacteristic
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×C107C2312yes—
215C2×D4×C107C2312yes—
216C2×D4×C107C2311yescharacteristic
217C2×D4×C107C2312yes—
218C2×D4×C107C2311yescharacteristic
219C2×D4×C107C2311yescharacteristic
220C22×C4×C107C2311yescharacteristic
221C22×C4×C107C2311yescharacteristic
222C22×C4×C107C2311yescharacteristic
223C4⋊C4×C107C2311yescharacteristic
224C4⋊C4×C107C2311yescharacteristic
225C22⋊C4×C107C2312yes—
226C22⋊C4×C107C2312yes—
227C22⋊C4×C107C2312yes—
228C22⋊C4×C107C2312yes—
229C22⋊C4×C107C2312yes—
230C42×C107C2312yes—
231C23×C107—42no—
232C23×C107—42no—
233C23×C107—42no—
234C23×C107C2411yescharacteristic
235C23×C107C2412yes—
236C23×C107C2412yes—
237C23×C107C2411yescharacteristic
238C23×C107C2411yescharacteristic
239C22×D107—42no—
240C22×D107—42no—
241C22×D107—42no—
242C22×D107C2411yescharacteristic
243C22×D107C2412yes—
244C22×D107C2411yescharacteristic
245Q8×C107—41no—
246D4×C107—22no—
247D4×C107—22no—
248D4×C107—42no—
249D4×C107—42no—
250D4×C107—42no—
251D4×C107—41no—
252D4×C107—41no—
253D4×C107—41no—
254D4×C107—42no—
255D4×C107—42no—
256C2×C4×C107—22no—
257C2×C4×C107—22no—
258C2×C4×C107—22no—
259C2×C4×C107C2411yescharacteristic
260C2×C4×C107C2412yes—
261C2×C4×C107C2412yes—
262C2×C4×C107C2411yescharacteristic
263C2×C4×C107C2411yescharacteristic
264C2×C4×C107C2411yescharacteristic
265C22⋊D107—22no—
266C22⋊D107—24no—
267C22⋊D107—22no—
268C22⋊D107—42no—
269C22⋊D107—42no—
270C22⋊D107—42no—
271C22⋊D107—41no—
272C22⋊D107—42no—
273C22⋊D107—41no—
274C22⋊D107—42no—
275C22⋊D107—42no—
276C22⋊D107—42no—
277C22⋊D107—42no—
278C22⋊D107—41no—
279C22⋊D107—41no—
280C2×Dic107—24no—
281C2×Dic107—22no—
282C2×Dic107—41no—
283C2×Dic107—42no—
284C2×Dic107—42no—
285C2×Dic107—42no—
286C2×Dic107C2411yescharacteristic
287C2×Dic107C2411yescharacteristic
288C2×Dic107C2411yescharacteristic
289C2×Dic107C2411yescharacteristic
290C2×Dic107C2412yes—
291C2×Dic107C2412yes—
292C2×Dic107C2411yescharacteristic
293C2×Dic107C2412yes—
294C2×Dic107C2411yescharacteristic
295D428—22no—
296D428—42no—
297D428—41no—
298C4×D107—22no—
299C4×D107—22no—
300C4×D107—42no—
301C4×D107—42no—
302C4×D107—42no—
303Dic214—22no—
304Dic214—24no—
305Dic214—41no—
306C22×C107—21no—
307C22×C107—22no—
308C22×C107—21no—
309C22×C107—22no—
310C22×C107—22no—
311C22×C107—21no—
312C22×C107—21no—
313C22×C107—21no—
314C22×C107—22no—
315C22×C107—21no—
316C22×C107—21no—
317C22×C107—21no—
318C22×C107—22no—
319C22×C107—21no—
320C22×C107—22no—
321C22×C107—84no—
322C22×C107C2511yescharacteristic
323C2×D107—21no—
324C2×D107—21no—
325C2×D107—21no—
326C2×D107—22no—
327C2×D107—22no—
328C2×D107—21no—
329C2×D107—21no—
330C2×D107—22no—
331C2×D107—21no—
332C2×D107—84no—
333C4×C107—22no—
334C4×C107—21no—
335C4×C107—21no—
336C4×C107—21no—
337C4×C107—22no—
338C4×C107H(5,𝔽2)12yes—
339Dic107—22no—
340Dic107—22no—
341Dic107—21no—
342Dic107—21no—
343Dic107—21no—
344Dic107—22no—
345Dic107—21no—
346Dic107—21no—
347Dic107H(5,𝔽2)12yes—
348C2×C107—42no—
349C2×C107—41no—
350C2×C107—41no—
351C2×C107—42no—
352C2×C107—41no—
353C2×C107C2×H(5,𝔽2)11yescharacteristic
354C2×C107C2×H(5,𝔽2)11yescharacteristic
355C2×C107#58511yescharacteristic
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—1072no—
367#550—1071no—
368#547—1071no—
369#546—1071no—
370#546—1071no—
371#546—1072no—
372D42—1071no—
373#542—1072no—
374#538—1072no—
375#538—1072no—
376#537—1071no—
377#537—1071no—
378#535—1071no—
379#535—1072no—
380#535D10711yescharacteristic, complemented
381#532—1071no—
382#532—1071no—
383#529—1071no—
384C2×#41—1072no—
385C2×#41—1072no—
386C2×#41—1071no—
387C2×#41—1071no—
388C2×#41—1071no—
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#127C2×D10712yescomplemented
400#126—1072no—
401#126—1072no—
402#126—1072no—
403#126—1072no—
404#126—1072no—
405#125—1071no—
406#124—1071no—
407#124—1071no—
408#124—1071no—
409#124—1072no—
410#124—1072no—
411#124—1072no—
412#124C2×D10712yescomplemented
413#123—1072no—
414#123—1072no—
415#123—1072no—
416#123—1072no—
417#123—1072no—
418#123—1072no—
419#123—1072no—
420C22⋊Q8—1072no—
421C22⋊Q8—1071no—
422C22⋊Q8—1071no—
423C22⋊Q8—1071no—
424C22⋊Q8—1072no—
425C22⋊Q8—1072no—
426#121—1071no—
427#121—1071no—
428#121—1071no—
429#121—1072no—
430#121—1071no—
431#121—1072no—
432#121—1071no—
433#121—1072no—
434#121—1071no—
435#121—1072no—
436#121—1072no—
437#121—1072no—
438#121—1072no—
439#121—1072no—
440#121—1072no—
441#121—1072no—
442#121—1072no—
443#121—1071no—
444#121—1071no—
445#121—1071no—
446#121—1072no—
447#121—1072no—
448#121—1072no—
449#121C2×D10711yescharacteristic
450#121C2×D10711yescharacteristic
451#121C2×D10711yescharacteristic, complemented
452#121C2×D10711yescharacteristic, complemented
453#120—1072no—
454#120—1072no—
455#120—1072no—
456#120—1072no—
457#120—1072no—
458#120—1072no—
459#120C2×D10712yescomplemented
460#120C2×D10712yescomplemented
461C4×Q8—1071no—
462C4×Q8—1072no—
463C4×D4—1071no—
464C4×D4—1072no—
465C4×D4—1071no—
466C4×D4—1072no—
467C4×D4—1071no—
468C4×D4—1071no—
469C4×D4—1071no—
470C4×D4—1071no—
471C4×D4—1071no—
472C4×D4—1072no—
473C4×D4—1072no—
474C4×D4—1072no—
475#117—1071no—
476#117—1072no—
477#117C2×D10711yescharacteristic, complemented
478C2×C4⋊C4—1071no—
479C2×C4⋊C4—1071no—
480C2×C22⋊C4—1072no—
481C2×C22⋊C4—1072no—
482C2×C42—1071no—
483C24—1072no—
484C24C22×D10712yes—
485#41—42no—
486#41—4282no—
487#41—4282no—
488#41—4282no—
489#41—4284no—
490#41—4284no—
491C2×Q8—1071no—
492C2×Q8—1071no—
493C2×Q8—1072no—
494C2×Q8C22×D10711yescharacteristic
495C2×D4—42no—
496C2×D4—1071no—
497C2×D4—1072no—
498C2×D4—1071no—
499C2×D4—1071no—
500C2×D4—1072no—
501C2×D4—1072no—
502C2×D4—1072no—
503C2×D4—1072no—
504C2×D4—1072no—
505C2×D4—1072no—
506C2×D4—1072no—
507C2×D4—1071no—
508C2×D4—1071no—
509C2×D4—1072no—
510C2×D4—1071no—
511C2×D4—1072no—
512C2×D4—1071no—
513C2×D4—1071no—
514C2×D4—4282no—
515C2×D4—4284no—
516C2×D4C22×D10711yescharacteristic
517C2×D4C22×D10711yescharacteristic
518C2×D4C22×D10712yes—
519C2×D4C22×D10712yes—
520C2×D4C22×D10712yes—
521C2×D4C22×D10712yes—
522C2×D4C22×D10711yescharacteristic
523C2×D4C22×D10711yescharacteristic
524C2×D4C22×D10712yes—
525C2×D4C22×D10711yescharacteristic
526C22×C4—1071no—
527C22×C4—1072no—
528C22×C4—1072no—
529C22×C4—1072no—
530C22×C4—1071no—
531C22×C4—1072no—
532C22×C4—1072no—
533C22×C4—1072no—
534C22×C4—1072no—
535C22×C4—1071no—
536C22×C4—1071no—
537C22×C4C22×D10711yescharacteristic
538C22×C4C22×D10711yescharacteristic
539C22×C4C22×D10711yescharacteristic
540C4⋊C4—1071no—
541C4⋊C4—1071no—
542C4⋊C4—1072no—
543C4⋊C4—1072no—
544C4⋊C4—1072no—
545C4⋊C4—1072no—
546C4⋊C4—1071no—
547C4⋊C4—1072no—
548C4⋊C4—1071no—
549C4⋊C4—1071no—
550C4⋊C4—1072no—
551C4⋊C4—1071no—
552C4⋊C4—1072no—
553C4⋊C4—1072no—
554C4⋊C4—1072no—
555C4⋊C4C22×D10711yescharacteristic
556C4⋊C4C22×D10711yescharacteristic
557C22⋊C4—1072no—
558C22⋊C4—1071no—
559C22⋊C4—1072no—
560C22⋊C4—1072no—
561C22⋊C4—1072no—
562C22⋊C4—1071no—
563C22⋊C4—1071no—
564C22⋊C4—1072no—
565C22⋊C4—1072no—
566C22⋊C4—1072no—
567C22⋊C4—1072no—
568C22⋊C4—1071no—
569C22⋊C4—1071no—
570C22⋊C4—1072no—
571C22⋊C4—1072no—
572C22⋊C4—1071no—
573C22⋊C4—1071no—
574C22⋊C4—1072no—
575C22⋊C4—1072no—
576C22⋊C4—1072no—
577C22⋊C4—1072no—
578C22⋊C4—1071no—
579C22⋊C4C22×D10712yes—
580C22⋊C4C22×D10712yes—
581C22⋊C4C22×D10712yes—
582C22⋊C4C22×D10712yes—
583C22⋊C4C22×D10712yes—
584C42—1071no—
585C42—1071no—
586C42—1071no—
587C42—1071no—
588C42—1072no—
589C42—1072no—
590C42C22×D10712yes—
591C23—42no—
592C23—42no—
593C23—42no—
594C23—1071no—
595C23—1072no—
596C23—1071no—
597C23—4282no—
598C23—4282no—
599C23—4282no—
600C23C23×D10712yes—
601C23C23×D10711yescharacteristic
602C23C23×D10712yes—
603C23C23×D10711yescharacteristic
604C23C23×D10711yescharacteristic
605Q8—41no—
606Q8—4281no—
607Q8—2144no—
608Q8—2142no—
609D4—22no—
610D4—22no—
611D4—42no—
612D4—41no—
613D4—41no—
614D4—41no—
615D4—42no—
616D4—42no—
617D4—42no—
618D4—42no—
619D4—4281no—
620D4—4282no—
621D4—4282no—
622D4—4282no—
623D4—4282no—
624D4—4282no—
625D4—4282no—
626D4—4281no—
627D4—4282no—
628D4—4282no—
629D4—4281no—
630D4—4281no—
631D4—4282no—
632D4—4281no—
633D4—2142no—
634D4—2144no—
635D4—2142no—
636D4—2142no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—1071no—
641C2×C4—1071no—
642C2×C4—1071no—
643C2×C4—1071no—
644C2×C4—1071no—
645C2×C4—1072no—
646C2×C4—1072no—
647C2×C4—1071no—
648C2×C4—1072no—
649C2×C4—4282no—
650C2×C4—4282no—
651C2×C4—4282no—
652C2×C4—4282no—
653C2×C4—4282no—
654C2×C4—4282no—
655C2×C4—4281no—
656C2×C4—2144no—
657C2×C4—2142no—
658C2×C4—2142no—
659C2×C4—2142no—
660C2×C4C23×D10712yes—
661C2×C4C23×D10711yescharacteristic
662C2×C4C23×D10711yescharacteristic
663C2×C4C23×D10712yes—
664C2×C4C23×D10711yescharacteristic
665C2×C4C23×D10711yescharacteristic
666C22—21no—
667C22—22no—
668C22—21no—
669C22—22no—
670C22—21no—
671C22—21no—
672C22—21no—
673C22—21no—
674C22—22no—
675C22—22no—
676C22—21no—
677C22—21no—
678C22—22no—
679C22—22no—
680C22—21no—
681C22—84no—
682C22—8564no—
683C22—2141no—
684C22—2142no—
685C22—2141no—
686C22—2142no—
687C22—2141no—
688C22—2141no—
689C22—2141no—
690C22—2142no—
691C22—2141no—
692C22C24×D10711yescharacteristic
693C4—22no—
694C4—21no—
695C4—21no—
696C4—21no—
697C4—22no—
698C4—1072no—
699C4—2141no—
700C4—2142no—
701C4—2142no—
702C4—2141no—
703C4—2142no—
704C4—2141no—
705C4—2141no—
706C4—2141no—
707C4#1681215412yes—
708C2—41no—
709C2—42no—
710C2—42no—
711C2—41no—
712C2—41no—
713C2—4281no—
714C2—4282no—
715C2—4281no—
716C2H(5,𝔽2)×D10711yescharacteristic
717C2C2×#1681215411yescharacteristic
718C2#2029346211yescharacteristic
subgroupG/H
center, FrattiniC22C24×D107
commutator, socle, cosocleC22×C107C25
Fitting#535×C107C2
hypercenter#535D107
hypocenterC107#3546
LCSG ▷ C22×C107 ▷ C107
UCSC1 ◁ C22 ◁ #535

Complements

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

NH ≅ G/Ntype
1. #20293366C2semidirect
2. #20293364C2semidirect
3. #20293345C2semidirect
4. #20293329C2semidirect
5. #20293321C2semidirect
6. #20293297C2semidirect
7. #20293295C2semidirect
8. #20293277C2semidirect
9. #20293274C2semidirect
10. #20293271C2semidirect
11. #20293264C2semidirect
12. D4×C22⋊D107C2semidirect
13. #20293241C2semidirect
14. #20293212C2semidirect
15. #20293211C2semidirect
16. #20293206C2semidirect
17. #20293205C2semidirect
18. #20293193C2semidirect
19. #20293192C2semidirect
20. #20293173C2semidirect
21. #20293172C2semidirect
22. #20293158C2semidirect
23. #535×C107C2semidirect
24. C2×#13133818C22semidirect
25. C2×#13133818C22semidirect
26. C2×#13133817C22semidirect
27. C2×#13133817C22semidirect
28. C2×#13133817C22semidirect
31. #16812108C22semidirect
32. #16812107C22semidirect
35. #16812105C22semidirect
36. #16812105C22semidirect
37. #16812103C22semidirect
38. #16812103C22semidirect
39. #16812102C22semidirect
40. #16812102C22semidirect
41. #16812102C22semidirect
42. #16812100C22semidirect
43. #16812098C22semidirect
45. #16812096C22semidirect
47. #16812095C22semidirect
48. #16812095C22semidirect
49. #16812093C22semidirect
50. #16812091C22semidirect
51. #16812091C22semidirect
52. #16812091C22semidirect
53. #16812090C22semidirect
54. #16812090C22semidirect
55. #16812090C22semidirect
56. #16812089C22semidirect
57. #16812088C22semidirect
58. #16812088C22semidirect
59. #16812086C22semidirect
60. #16812086C22semidirect
61. #16812085C22semidirect
62. #16812084C22semidirect
64. #16812083C22semidirect
65. #16812082C22semidirect
66. #16812082C22semidirect
67. #16812082C22semidirect
70. #16812081C22semidirect
71. #16812081C22semidirect
72. #16812081C22semidirect
73. #16812081C22semidirect
74. #16812081C22semidirect
75. #16812081C22semidirect
76. #16812081C22semidirect
77. #16812081C22semidirect
78. #16812081C22semidirect
79. #16812081C22semidirect
82. #16812080C22semidirect
83. #16812080C22semidirect
84. #16812080C22semidirect
85. #16812079C22semidirect
87. #16812078C22semidirect
89. #16812077C22semidirect
90. #16812077C22semidirect
91. C4×Dic214C22semidirect
92. #16812074C22semidirect
93. C4×D428C22semidirect
95. D4×Dic107C22semidirect
96. D4×Dic107C22semidirect
97. D4×Dic107C22semidirect
98. #16812071C22semidirect
100. C4×C22⋊D107C22semidirect
101. C4×C22⋊D107C22semidirect
102. C4×C22⋊D107C22semidirect
103. (C22⋊D107)⋊C4C22semidirect
104. (C22⋊D107)⋊C4C22semidirect
105. #16812067C22semidirect
106. #16812065C22semidirect
107. C2×C4⋊Dic107C22semidirect
108. C4⋊C4×D107C22semidirect
109. C2×C22⋊Dic107C22semidirect
110. C22⋊C4×D107C22semidirect
111. C2×C4×Dic107C22semidirect
112. C2×#41×C107C22semidirect
114. #127×C107C22semidirect
115. #124×C107C22semidirect
118. #121×C107C22semidirect
119. #121×C107C22semidirect
120. #120×C107C22semidirect
121. #120×C107C22semidirect
122. #117×C107C22semidirect
360. C107#3546semidirect
380. #535D107semidirect
389. C2×#41C2×D107semidirect
399. #127C2×D107semidirect
412. #124C2×D107semidirect
451. #121C2×D107semidirect
452. #121C2×D107semidirect
459. #120C2×D107semidirect
460. #120C2×D107semidirect
477. #117C2×D107semidirect

Maximal subgroups

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

subgroupindex
#202933662
#202933642
#202933452
#202933292
#202933212
#202932972
#202932952
#202932772
#202932742
#202932712
#202932642
D4×C22⋊D1072
#202932412
#202932122
#202932112
#202932062
#202932052
#202931932
#202931922
#202931732
#202931722
#202931582
#535×C1072
#3546107