Finite Group Databasebeta

← #28350611

Subgroups — #28350611

Order 13696.

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#20293370C211yesmaximal, characteristic, complemented
2#20293365C212yesmaximal, complemented
3#20293364C211yesmaximal, characteristic, complemented
4#20293308C211yesmaximal, characteristic, complemented
5#20293306C212yesmaximal, complemented
6#20293271C212yesmaximal, complemented
7#20293266C212yesmaximal, complemented
8#20293264C212yesmaximal, complemented
9D4×C22⋊D107C212yesmaximal, complemented
10#20293214C212yesmaximal, complemented
11#20293210C212yesmaximal, complemented
12#20293209C212yesmaximal, complemented
13#20293192C212yesmaximal, complemented
14#20293190C211yesmaximal, characteristic, complemented
15#20293187C211yesmaximal, characteristic, complemented
16#20293186C212yesmaximal, complemented
17C2×#16812077C212yesmaximal, complemented
18#120×D107C211yesmaximal, characteristic, complemented
19D42×C107C211yesmaximal, characteristic, complemented
20C24×D107C2211yescharacteristic, complemented
21C2×#13133817C2212yescomplemented
22C2×#13133817C2211yescharacteristic, complemented
23C22×C22⋊D107C2212yescomplemented
24C22×C22⋊D107C2212yescomplemented
25C22×C22⋊D107C2211yescharacteristic, complemented
26C2×D4×D107C2211yescharacteristic, complemented
27C2×D4×D107C2212yescomplemented
28#16812105C2211yescharacteristic, complemented
29#16812105C2212yescomplemented
30#16812104C2212yescomplemented
31#16812104C2212yescomplemented
32#16812103C2212yescomplemented
33#16812102C2212yescomplemented
34#16812097C2211yescharacteristic, complemented
35#16812096C2211yescharacteristic, complemented
36#16812096C2212yescomplemented
37#16812095C2212yescomplemented
38#16812095C2212yescomplemented
39#16812095C2212yescomplemented
40#16812095C2212yescomplemented
41#16812094C2212yescomplemented
42#16812093C2211yescharacteristic, complemented
43#16812093C2212yescomplemented
44#16812092C2212yescomplemented
45#16812092C2212yescomplemented
46#16812091C2212yescomplemented
47#16812090C2211yescharacteristic, complemented
48#16812090C2212yescomplemented
49#16812090C2212yescomplemented
50#16812090C2212yescomplemented
51#16812088C2212yescomplemented
52#16812087C2212yescomplemented
53#16812086C2212yescomplemented
54#16812083C2212yescomplemented
55#16812082C2212yescomplemented
56#16812082C2212yescomplemented
57#16812081C2212yescomplemented
58#16812081C2212yescomplemented
59#16812081C2212yescomplemented
60#16812081C2212yescomplemented
61#16812081C2212yescomplemented
62#16812081C2212yescomplemented
63#16812081C2212yescomplemented
64#16812081C2212yescomplemented
65#16812080C2212yescomplemented
66#16812080C2212yescomplemented
67#16812079C2212yescomplemented
68#16812079C2211yescharacteristic, complemented
69#16812078C2211yescharacteristic, complemented
70#16812078C2212yescomplemented
71#16812078C2211yescharacteristic, complemented
72#16812078C2212yescomplemented
73#16812077C2212yes—
74#16812077C2212yescomplemented
75#16812077C2212yescomplemented
76#16812077C2212yescomplemented
77#16812077C2212yescomplemented
78#16812077C2212yescomplemented
79#16812077C2212yescomplemented
80#16812077C2212yescomplemented
81#16812077C2211yescharacteristic, complemented
82#16812077C2212yescomplemented
83#16812077C2212yescomplemented
84D4×Dic107C2212yescomplemented
85D4×Dic107C2212yescomplemented
86C4×C22⋊D107C2212yescomplemented
87C4×C22⋊D107C2212yescomplemented
88(C22⋊D107)⋊C4C2212yescomplemented
89#16812066C2211yescharacteristic, complemented
90#16812065C2212yescomplemented
91C2×C22⋊Dic107C2212yescomplemented
92C2×C22⋊Dic107C2212yescomplemented
93C2×(C2×D107)⋊C4C2212yescomplemented
94C2×(C2×D107)⋊C4C2212yescomplemented
95C22⋊C4×D107C2211yescharacteristic, complemented
96C22⋊C4×D107C2212yescomplemented
97C22⋊C4×D107C2211yescharacteristic, complemented
98C22×D4×C107C2212yescomplemented
99C22×D4×C107C2212yescomplemented
100#127×C107C2211yescharacteristic, complemented
101#121×C107C2212yescomplemented
102#121×C107C2212yescomplemented
103#120×C107C2211yescharacteristic
104#120×C107C2212yescomplemented
105#120×C107C2211yescharacteristic, complemented
106C4×D4×C107C2212yescomplemented
107C23×D107—42no—
108C23×D107—44no—
109C23×D107C2312yes—
110C23×D107C2311yescharacteristic
111C23×D107C2311yescharacteristic
112C23×D107C2312yes—
113C23×D107C2311yescharacteristic
114#13133817—42no—
115#13133817—44no—
116C2×Dic214C2311yescharacteristic, complemented
117C2×Dic214C2312yescomplemented
118C2×D428C2311yescharacteristic
119C2×D428C2312yes—
120C2×C22⋊D107—44no—
121C2×C22⋊D107—44no—
122C2×C22⋊D107—42no—
123C2×C22⋊D107C2312yes—
124C2×C22⋊D107C2312yes—
125C2×C22⋊D107C2312yes—
126C2×C22⋊D107C2312yes—
127C2×C22⋊D107C2311yescharacteristic
128C2×C22⋊D107C2312yes—
129C2×C22⋊D107C2312yes—
130C2×C22⋊D107C2312yes—
131C2×C22⋊D107C2312yes—
132C2×C22⋊D107C2312yes—
133C2×C22⋊D107C2312yes—
134C2×C22⋊D107C2311yescharacteristic
135C2×C22⋊D107C2312yescomplemented
136C2×C22⋊D107C2312yescomplemented
137D4×D107—42no—
138D4×D107—44no—
139C22×Dic107C2312yes—
140C22×Dic107C2312yes—
141C22×Dic107C2312yescomplemented
142C22×Dic107C2312yescomplemented
143C22×Dic107C2311yescharacteristic, complemented
144C2×C4×D107C2311yescharacteristic
145C2×C4×D107C2312yes—
146C2×C4×D107C2312yescomplemented
147C4⋊Dic107C2312yescomplemented
148C4⋊Dic107C2312yescomplemented
149Dic107⋊C4C2312yescomplemented
150Dic107⋊C4C2312yescomplemented
151Dic107⋊C4C2312yescomplemented
152Dic107⋊C4C2312yescomplemented
153Dic107⋊C4C2312yescomplemented
154Dic107⋊C4C2312yescomplemented
155C22⋊Dic107C2312yes—
156C22⋊Dic107C2311yescharacteristic
157C22⋊Dic107C2312yes—
158C22⋊Dic107C2312yes—
159C22⋊Dic107C2312yes—
160C22⋊Dic107C2312yes—
161C22⋊Dic107C2311yescharacteristic, complemented
162C22⋊Dic107C2312yescomplemented
163C22⋊Dic107C2312yescomplemented
164C22⋊Dic107C2312yescomplemented
165C22⋊Dic107C2312yescomplemented
166C22⋊Dic107C2312yescomplemented
167(C2×D107)⋊C4C2312yes—
168(C2×D107)⋊C4C2312yes—
169(C2×D107)⋊C4C2312yes—
170(C2×D107)⋊C4C2312yes—
171(C2×D107)⋊C4C2312yes—
172(C2×D107)⋊C4C2312yes—
173(C2×D107)⋊C4C2312yes—
174(C2×D107)⋊C4C2312yes—
175(C2×D107)⋊C4C2312yes—
176(C2×D107)⋊C4C2312yes—
177(C2×D107)⋊C4C2312yes—
178(C2×D107)⋊C4C2312yescomplemented
179C4×Dic107C2311yescharacteristic, complemented
180C4×Dic107C2312yescomplemented
181C4×Dic107C2312yescomplemented
182C24×C107C2311yescharacteristic
183C24×C107C2312yes—
184C24×C107C2311yescharacteristic, complemented
185C2×D4×C107—44no—
186C2×D4×C107—44no—
187C2×D4×C107C2312yes—
188C2×D4×C107C2312yes—
189C2×D4×C107C2312yes—
190C2×D4×C107C2312yes—
191C2×D4×C107C2312yes—
192C2×D4×C107C2311yescharacteristic
193C2×D4×C107C2312yescomplemented
194C2×D4×C107C2312yescomplemented
195C2×D4×C107C2311yescharacteristic, complemented
196C22×C4×C107C2312yes—
197C22×C4×C107C2312yescomplemented
198C4⋊C4×C107C2312yescomplemented
199C22⋊C4×C107C2312yes—
200C22⋊C4×C107C2311yescharacteristic
201C22⋊C4×C107C2311yescharacteristic, complemented
202C22⋊C4×C107C2312yescomplemented
203C22⋊C4×C107C2312yescomplemented
204C42×C107C2311yescharacteristic, complemented
205C23×C107—24no—
206C23×C107—24no—
207C23×C107—41no—
208C23×C107—42no—
209C23×C107—42no—
210C23×C107—42no—
211C23×C107—41no—
212C23×C107C2411yescharacteristic
213C23×C107C2412yes—
214C23×C107C2411yescharacteristic
215C23×C107C2412yes—
216C23×C107C2412yes—
217C22×D107—24no—
218C22×D107—24no—
219C22×D107—22no—
220C22×D107—24no—
221C22×D107—22no—
222C22×D107—42no—
223C22×D107—42no—
224C22×D107—42no—
225C22×D107—42no—
226C22×D107—42no—
227C22×D107—41no—
228C22×D107—42no—
229C22×D107—416no—
230C22×D107C2412yes—
231C22×D107C2411yescharacteristic
232C22×D107C2411yescharacteristic
233C22×D107C2411yescharacteristic
234D4×C107—24no—
235D4×C107—24no—
236D4×C107—24no—
237D4×C107—42no—
238D4×C107—42no—
239D4×C107—42no—
240D4×C107—42no—
241D4×C107—41no—
242D4×C107—41no—
243C2×C4×C107—42no—
244C2×C4×C107—42no—
245C2×C4×C107C2411yescharacteristic
246C2×C4×C107C2412yes—
247C2×C4×C107C2412yes—
248C2×C4×C107C2412yes—
249C22⋊D107—24no—
250C22⋊D107—24no—
251C22⋊D107—24no—
252C22⋊D107—42no—
253C22⋊D107—41no—
254C22⋊D107—41no—
255C22⋊D107—42no—
256C22⋊D107—42no—
257C22⋊D107—42no—
258C22⋊D107—42no—
259C22⋊D107—42no—
260C22⋊D107—42no—
261C22⋊D107—42no—
262C22⋊D107—42no—
263C2×Dic107—24no—
264C2×Dic107—42no—
265C2×Dic107—41no—
266C2×Dic107—42no—
267C2×Dic107—42no—
268C2×Dic107C2412yes—
269C2×Dic107C2412yes—
270C2×Dic107C2412yes—
271C2×Dic107C2412yes—
272C2×Dic107C2412yes—
273C2×Dic107C2411yescharacteristic
274D428—41no—
275D428—42no—
276C4×D107—22no—
277C4×D107—42no—
278C4×D107—42no—
279Dic214—42no—
280Dic214—41no—
281C22×C107—22no—
282C22×C107—22no—
283C22×C107—22no—
284C22×C107—22no—
285C22×C107—21no—
286C22×C107—22no—
287C22×C107—22no—
288C22×C107—22no—
289C22×C107—22no—
290C22×C107—21no—
291C22×C107—22no—
292C22×C107—22no—
293C22×C107—44no—
294C22×C107—84no—
295C22×C107—82no—
296C22×C107H(5,𝔽2)14yes—
297C22×C107C2511yescharacteristic
298C2×D107—22no—
299C2×D107—22no—
300C2×D107—21no—
301C2×D107—21no—
302C2×D107—22no—
303C2×D107—22no—
304C2×D107—22no—
305C2×D107—22no—
306C2×D107—48no—
307C2×D107—44no—
308C2×D107—48no—
309C2×D107—44no—
310C2×D107—82no—
311C2×D107H(5,𝔽2)12yes—
312C4×C107—21no—
313C4×C107—22no—
314C4×C107—22no—
315C4×C107—22no—
316Dic107—22no—
317Dic107—22no—
318Dic107—22no—
319Dic107—21no—
320Dic107—22no—
321Dic107—22no—
322C2×C107—24no—
323C2×C107—41no—
324C2×C107—41no—
325C2×C107—42no—
326C2×C107—42no—
327C2×C107C2×H(5,𝔽2)11yescharacteristic
328C2×C107C2×H(5,𝔽2)12yes—
329D107—22no—
330D107—42no—
331D107—41no—
332D107—41no—
333#3532—1071nomaximal, Sylow
334C107#353211yescharacteristic, complemented, Sylow
335H(3,𝔽4)—1071no—
336#560—1071no—
337#560—1072no—
338#551—1071no—
339#551—1072no—
340#546—1072no—
341#546—1072no—
342#546—1072no—
343D42—1072no—
344D42D10711yescharacteristic, complemented
345#538—1072no—
346#538—1072no—
347#538—1072no—
348#535—1071no—
349#535—1072no—
350#534—1072no—
351#534—1071no—
352C2×#120—1072no—
353C2×#120—1071no—
354C25—1071no—
355C2×#41—1072no—
356C2×#41—1071no—
357C22×D4—1072no—
358C22×D4—1072no—
359C22×D4—1071no—
360C22×D4—1071no—
361C22×D4—1072no—
362C22×D4C2×D10712yescomplemented
363C22×D4C2×D10712yescomplemented
364#127—1071no—
365#127—1072no—
366#127C2×D10711yescharacteristic, complemented
367#126—1072no—
368#126—1072no—
369#126—1072no—
370#126—1072no—
371#124—1071no—
372#124—1072no—
373#124—1072no—
374#124—1072no—
375#124—1072no—
376#124—1072no—
377#124—1071no—
378#123—1072no—
379#123—1072no—
380#123—1071no—
381#123—1072no—
382#123—1072no—
383#123—1072no—
384#123—1072no—
385#123—1071no—
386#123—1072no—
387#123—1072no—
388C22⋊Q8—1072no—
389C22⋊Q8—1072no—
390C22⋊Q8—1072no—
391#121—1072no—
392#121—1072no—
393#121—1072no—
394#121—1072no—
395#121—1072no—
396#121—1072no—
397#121—1072no—
398#121—1072no—
399#121—1072no—
400#121—1072no—
401#121—1072no—
402#121—1072no—
403#121—1072no—
404#121C2×D10712yescomplemented
405#121C2×D10712yescomplemented
406#120—1071no—
407#120—1072no—
408#120—1071no—
409#120—1072no—
410#120—1072no—
411#120—1072no—
412#120—1072no—
413#120—1072no—
414#120—1072no—
415#120—1072no—
416#120—1072no—
417#120—1072no—
418#120—1072no—
419#120—1071no—
420#120—1072no—
421#120—1072no—
422#120—1071no—
423#120C2×D10711yescharacteristic
424#120C2×D10712yescomplemented
425#120C2×D10711yescharacteristic, complemented
426C4×D4—1072no—
427C4×D4—1072no—
428C4×D4—1072no—
429C4×D4—1072no—
430C4×D4—1072no—
431C4×D4C2×D10712yescomplemented
432#117—1072no—
433#117—1071no—
434C2×C22⋊C4—1072no—
435C2×C22⋊C4—1072no—
436C2×C22⋊C4—1072no—
437C2×C22⋊C4—1072no—
438C2×C22⋊C4—1071no—
439C2×C22⋊C4—1072no—
440C2×C22⋊C4—1071no—
441C24—1071no—
442C24—1071no—
443C24—1072no—
444C24—1071no—
445C24—1072no—
446C24—4284no—
447C24—4282no—
448C24C22×D10711yescharacteristic
449C24C22×D10712yes—
450C24C22×D10711yescharacteristic, complemented
451#41—4284no—
452#41—4282no—
453C2×Q8—1072no—
454C2×Q8—1071no—
455C2×D4—44no—
456C2×D4—44no—
457C2×D4—1071no—
458C2×D4—1072no—
459C2×D4—1072no—
460C2×D4—1072no—
461C2×D4—1072no—
462C2×D4—1072no—
463C2×D4—1071no—
464C2×D4—1072no—
465C2×D4—1072no—
466C2×D4—1072no—
467C2×D4—1072no—
468C2×D4—1072no—
469C2×D4—1072no—
470C2×D4—1072no—
471C2×D4—1072no—
472C2×D4—1071no—
473C2×D4—4284no—
474C2×D4—4282no—
475C2×D4—4284no—
476C2×D4—4282no—
477C2×D4—4284no—
478C2×D4C22×D10712yes—
479C2×D4C22×D10712yes—
480C2×D4C22×D10712yes—
481C2×D4C22×D10712yes—
482C2×D4C22×D10712yes—
483C2×D4C22×D10711yescharacteristic
484C2×D4C22×D10712yescomplemented
485C2×D4C22×D10711yescharacteristic, complemented
486C2×D4C22×D10712yescomplemented
487C22×C4—1072no—
488C22×C4—1072no—
489C22×C4—1072no—
490C22×C4—1071no—
491C22×C4—1072no—
492C22×C4—1072no—
493C22×C4—1072no—
494C22×C4—1071no—
495C22×C4C22×D10712yes—
496C22×C4C22×D10712yescomplemented
497C4⋊C4—1072no—
498C4⋊C4—1072no—
499C4⋊C4—1072no—
500C4⋊C4—1072no—
501C4⋊C4—1072no—
502C4⋊C4—1072no—
503C4⋊C4—1072no—
504C4⋊C4—1072no—
505C4⋊C4C22×D10712yescomplemented
506C22⋊C4—1072no—
507C22⋊C4—1072no—
508C22⋊C4—1072no—
509C22⋊C4—1072no—
510C22⋊C4—1072no—
511C22⋊C4—1071no—
512C22⋊C4—1071no—
513C22⋊C4—1072no—
514C22⋊C4—1072no—
515C22⋊C4—1072no—
516C22⋊C4—1072no—
517C22⋊C4—1072no—
518C22⋊C4—1072no—
519C22⋊C4—1072no—
520C22⋊C4—1072no—
521C22⋊C4—1072no—
522C22⋊C4—1072no—
523C22⋊C4—1072no—
524C22⋊C4—1072no—
525C22⋊C4—1072no—
526C22⋊C4—1072no—
527C22⋊C4—1072no—
528C22⋊C4—1072no—
529C22⋊C4—1072no—
530C22⋊C4C22×D10712yes—
531C22⋊C4C22×D10711yescharacteristic
532C22⋊C4C22×D10711yescharacteristic, complemented
533C22⋊C4C22×D10712yescomplemented
534C22⋊C4C22×D10712yescomplemented
535C42—1071no—
536C42—1072no—
537C42—1072no—
538C42C22×D10711yescharacteristic, complemented
539C23—24no—
540C23—24no—
541C23—41no—
542C23—42no—
543C23—42no—
544C23—42no—
545C23—41no—
546C23—1071no—
547C23—1072no—
548C23—1071no—
549C23—1071no—
550C23—4282no—
551C23—4282no—
552C23—4282no—
553C23—4282no—
554C23—4281no—
555C23—4282no—
556C23—4282no—
557C23—42816no—
558C23—2142no—
559C23—2144no—
560C23—2142no—
561C23—2144no—
562C23—2144no—
563C23C23×D10711yescharacteristic
564C23C23×D10711yescharacteristic
565C23C23×D10712yes—
566C23C23×D10712yes—
567C23C23×D10712yes—
568Q8—4281no—
569Q8—4282no—
570D4—24no—
571D4—24no—
572D4—24no—
573D4—42no—
574D4—42no—
575D4—42no—
576D4—42no—
577D4—41no—
578D4—41no—
579D4—4281no—
580D4—4282no—
581D4—4281no—
582D4—4281no—
583D4—4282no—
584D4—4282no—
585D4—4282no—
586D4—4282no—
587D4—4282no—
588D4—4282no—
589D4—4282no—
590D4—4282no—
591D4—4282no—
592D4—2144no—
593D4—2144no—
594D4—2144no—
595C2×C4—42no—
596C2×C4—42no—
597C2×C4—1072no—
598C2×C4—1072no—
599C2×C4—1072no—
600C2×C4—1072no—
601C2×C4—1071no—
602C2×C4—1072no—
603C2×C4—4282no—
604C2×C4—4282no—
605C2×C4—4281no—
606C2×C4—4282no—
607C2×C4—4282no—
608C2×C4—4282no—
609C2×C4—2142no—
610C2×C4—2144no—
611C2×C4C23×D10711yescharacteristic
612C2×C4C23×D10712yes—
613C2×C4C23×D10712yes—
614C2×C4C23×D10712yes—
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—8562no—
631C22—1072no—
632C22—4288no—
633C22—4288no—
634C22—4284no—
635C22—4284no—
636C22—2141no—
637C22—2141no—
638C22—2142no—
639C22—2142no—
640C22—2142no—
641C22—2142no—
642C22—2142no—
643C22—2142no—
644C22#1681215414yes—
645C22C24×D10711yescharacteristic
646C4—21no—
647C4—22no—
648C4—22no—
649C4—22no—
650C4—2141no—
651C4—2142no—
652C4—2142no—
653C4—2142no—
654C4—2142no—
655C4—2142no—
656C2—24no—
657C2—41no—
658C2—42no—
659C2—41no—
660C2—42no—
661C2—4281no—
662C2—4281no—
663C2—4282no—
664C2—2142no—
665C2H(5,𝔽2)×D10711yescharacteristic
666C2C2×#1681215412yes—
subgroupG/H
center, FrattiniC22C24×D107
commutator, socle, cosocleC22×C107C25
FittingD42×C107C2
hypercenterD42D107
hypocenterC107#3532
LCSG ▷ C22×C107 ▷ C107
UCSC1 ◁ C22 ◁ D42

Complements

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

NH ≅ G/Ntype
1. #20293370C2semidirect
2. #20293365C2semidirect
3. #20293364C2semidirect
4. #20293308C2semidirect
5. #20293306C2semidirect
6. #20293271C2semidirect
7. #20293266C2semidirect
8. #20293264C2semidirect
9. D4×C22⋊D107C2semidirect
10. #20293214C2semidirect
11. #20293210C2semidirect
12. #20293209C2semidirect
13. #20293192C2semidirect
14. #20293190C2semidirect
15. #20293187C2semidirect
16. #20293186C2semidirect
17. C2×#16812077C2semidirect
18. #120×D107C2semidirect
19. D42×C107C2semidirect
20. C24×D107C22semidirect
21. C2×#13133817C22semidirect
22. C2×#13133817C22semidirect
23. C22×C22⋊D107C22semidirect
24. C22×C22⋊D107C22semidirect
25. C22×C22⋊D107C22semidirect
26. C2×D4×D107C22semidirect
27. C2×D4×D107C22semidirect
28. #16812105C22semidirect
29. #16812105C22semidirect
30. #16812104C22semidirect
31. #16812104C22semidirect
32. #16812103C22semidirect
33. #16812102C22semidirect
34. #16812097C22semidirect
35. #16812096C22semidirect
36. #16812096C22semidirect
37. #16812095C22semidirect
38. #16812095C22semidirect
39. #16812095C22semidirect
40. #16812095C22semidirect
41. #16812094C22semidirect
42. #16812093C22semidirect
43. #16812093C22semidirect
44. #16812092C22semidirect
45. #16812092C22semidirect
46. #16812091C22semidirect
47. #16812090C22semidirect
48. #16812090C22semidirect
49. #16812090C22semidirect
50. #16812090C22semidirect
51. #16812088C22semidirect
52. #16812087C22semidirect
53. #16812086C22semidirect
54. #16812083C22semidirect
55. #16812082C22semidirect
56. #16812082C22semidirect
57. #16812081C22semidirect
58. #16812081C22semidirect
59. #16812081C22semidirect
60. #16812081C22semidirect
61. #16812081C22semidirect
62. #16812081C22semidirect
63. #16812081C22semidirect
64. #16812081C22semidirect
65. #16812080C22semidirect
66. #16812080C22semidirect
67. #16812079C22semidirect
68. #16812079C22semidirect
69. #16812078C22semidirect
70. #16812078C22semidirect
71. #16812078C22semidirect
72. #16812078C22semidirect
74. #16812077C22semidirect
75. #16812077C22semidirect
76. #16812077C22semidirect
77. #16812077C22semidirect
78. #16812077C22semidirect
79. #16812077C22semidirect
80. #16812077C22semidirect
81. #16812077C22semidirect
82. #16812077C22semidirect
83. #16812077C22semidirect
84. D4×Dic107C22semidirect
85. D4×Dic107C22semidirect
86. C4×C22⋊D107C22semidirect
87. C4×C22⋊D107C22semidirect
88. (C22⋊D107)⋊C4C22semidirect
89. #16812066C22semidirect
90. #16812065C22semidirect
91. C2×C22⋊Dic107C22semidirect
92. C2×C22⋊Dic107C22semidirect
93. C2×(C2×D107)⋊C4C22semidirect
94. C2×(C2×D107)⋊C4C22semidirect
95. C22⋊C4×D107C22semidirect
96. C22⋊C4×D107C22semidirect
97. C22⋊C4×D107C22semidirect
98. C22×D4×C107C22semidirect
99. C22×D4×C107C22semidirect
100. #127×C107C22semidirect
101. #121×C107C22semidirect
102. #121×C107C22semidirect
104. #120×C107C22semidirect
105. #120×C107C22semidirect
106. C4×D4×C107C22semidirect
116. C2×Dic214C23semidirect
117. C2×Dic214C23semidirect
135. C2×C22⋊D107C23semidirect
136. C2×C22⋊D107C23semidirect
141. C22×Dic107C23semidirect
142. C22×Dic107C23semidirect
143. C22×Dic107C23semidirect
146. C2×C4×D107C23semidirect
147. C4⋊Dic107C23semidirect
148. C4⋊Dic107C23semidirect
149. Dic107⋊C4C23semidirect
150. Dic107⋊C4C23semidirect
151. Dic107⋊C4C23semidirect
152. Dic107⋊C4C23semidirect
153. Dic107⋊C4C23semidirect
154. Dic107⋊C4C23semidirect
161. C22⋊Dic107C23semidirect
162. C22⋊Dic107C23semidirect
163. C22⋊Dic107C23semidirect
164. C22⋊Dic107C23semidirect
165. C22⋊Dic107C23semidirect
166. C22⋊Dic107C23semidirect
178. (C2×D107)⋊C4C23semidirect
179. C4×Dic107C23semidirect
180. C4×Dic107C23semidirect
181. C4×Dic107C23semidirect
184. C24×C107C23semidirect
193. C2×D4×C107C23semidirect
194. C2×D4×C107C23semidirect
195. C2×D4×C107C23semidirect
197. C22×C4×C107C23semidirect
198. C4⋊C4×C107C23semidirect
201. C22⋊C4×C107C23semidirect
202. C22⋊C4×C107C23semidirect
203. C22⋊C4×C107C23semidirect
204. C42×C107C23semidirect
334. C107#3532semidirect
344. D42D107semidirect
362. C22×D4C2×D107semidirect
363. C22×D4C2×D107semidirect
366. #127C2×D107semidirect
404. #121C2×D107semidirect
405. #121C2×D107semidirect
424. #120C2×D107semidirect
425. #120C2×D107semidirect
431. C4×D4C2×D107semidirect
450. C24C22×D107semidirect
484. C2×D4C22×D107semidirect
485. C2×D4C22×D107semidirect
486. C2×D4C22×D107semidirect
496. C22×C4C22×D107semidirect
505. C4⋊C4C22×D107semidirect
532. C22⋊C4C22×D107semidirect
533. C22⋊C4C22×D107semidirect
534. C22⋊C4C22×D107semidirect
538. C42C22×D107semidirect

Maximal subgroups

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

subgroupindex
#202933702
#202933652
#202933642
#202933082
#202933062
#202932712
#202932662
#202932642
D4×C22⋊D1072
#202932142
#202932102
#202932092
#202931922
#202931902
#202931872
#202931862
C2×#168120772
#120×D1072
D42×C1072
#3532107