Finite Group Databasebeta

← C107×#18450 #41044414

Subgroups — C107×#18450 #41044414

Order 27392.

1096 conjugacy classes of subgroups.

The subgroup lattice has 744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C107×#3537C211yesmaximal, characteristic, complemented
2C107×#3194C211yesmaximal, characteristic, complemented
3C107×#3186C211yesmaximal, characteristic, complemented
4C107×#2815C211yesmaximal, characteristic, complemented
5C107×#1612C212yesmaximal, complemented
6C107×#1607C212yesmaximal, complemented
7C107×#1600C212yesmaximal, complemented
8C107×#1595C212yesmaximal, complemented
9C107×#1516C211yesmaximal, characteristic, complemented
10C107×#1510C211yesmaximal, characteristic, complemented
11C107×#1471C211yesmaximal, characteristic, complemented
12#560×C107—22no—
13#553×C107—21no—
14#553×C107—21no—
15D42×C107—22no—
16D42×C107—21no—
17D42×C107—21no—
18#540×C107—21no—
19#538×C107—21no—
20#538×C107C2212yes—
21#535×C107—21no—
22#534×C107—21no—
23#534×C107C2212yes—
24#525×C107C2211yescharacteristic
25C2×#121×C107C2211yescharacteristic
26C2×#121×C107C2211yescharacteristic
27C2×#121×C107C2211yescharacteristic, complemented
28#483×C107C2211yescharacteristic, complemented
29#482×C107—21no—
30#480×C107—21no—
31#480×C107C2211yescharacteristic, complemented
32#480×C107C2212yescomplemented
33#469×C107—21no—
34#468×C107—21no—
35#466×C107—22no—
36#450×C107C2211yescharacteristic, complemented
37#449×C107—21no—
38#447×C107—21no—
39#447×C107C2212yescomplemented
40#447×C107C2211yescharacteristic, complemented
41#407×C107C2211yescharacteristic, complemented
42C2×C22⋊C8×C107C2211yescharacteristic, complemented
43#397×C107—21no—
44#397×C107C2212yescomplemented
45#392×C107—21no—
46#392×C107—22no—
47#392×C107C2212yescomplemented
48#381×C107C2211yescharacteristic, complemented
49#328×C107C2212yescomplemented
50#327×C107C2212yescomplemented
51#327×C107C2212yescomplemented
52#327×C107C2212yescomplemented
53#323×C107C2212yescomplemented
54#323×C107C2212yescomplemented
55C2×#41×C107D411yescharacteristic, complemented
56C22×D4×C107—22no—
57C22×D4×C107—21no—
58C22×D4×C107—21no—
59C22×D4×C107—22no—
60C22×D4×C107—21no—
61C22×D4×C107—22no—
62C22×D4×C107D412yes—
63C22×D4×C107D411yescharacteristic
64C22×D4×C107D411yescharacteristic, complemented
65C22×D4×C107C2311yescharacteristic
66C23×C4×C107C2311yescharacteristic
67C2×SD16×C107—21no—
68C2×D8×C107—22no—
69C2×D8×C107—21no—
70C2×M16×C107—21no—
71C22×C8×C107—21no—
72#127×C107—22no—
73#127×C107—21no—
74#126×C107—22no—
75#126×C107—22no—
76#125×C107—21no—
77#124×C107—22no—
78#123×C107—22no—
79#123×C107—21no—
80#123×C107—22no—
81#123×C107—22no—
82#123×C107—22no—
83C22⋊Q8×C107D411yescharacteristic, complemented
84C22⋊Q8×C107C2311yescharacteristic
85#121×C107—22no—
86#121×C107—21no—
87#121×C107—21no—
88#121×C107—22no—
89#121×C107—22no—
90#121×C107—22no—
91#121×C107—22no—
92#121×C107—21no—
93#121×C107—21no—
94#121×C107—21no—
95#121×C107—21no—
96#121×C107—21no—
97#121×C107—21no—
98#121×C107—22no—
99#121×C107—21no—
100#121×C107—21no—
101#121×C107—21no—
102#121×C107—21no—
103#121×C107D412yescomplemented
104#121×C107D411yescharacteristic, complemented
105#121×C107C2312yes—
106#121×C107C2311yescharacteristic
107#120×C107—22no—
108#120×C107—22no—
109#120×C107—22no—
110#120×C107—21no—
111#120×C107—22no—
112#120×C107—22no—
113#120×C107—22no—
114C4×D4×C107—22no—
115C4×D4×C107—21no—
116C4×D4×C107—21no—
117C4×D4×C107—21no—
118C4×D4×C107—21no—
119C4×D4×C107—22no—
120#117×C107—21no—
121#117×C107D411yescharacteristic, complemented
122C2×C4⋊C4×C107D411yescharacteristic
123C2×C4⋊C4×C107D411yescharacteristic, complemented
124C2×C4⋊C4×C107C2311yescharacteristic
125C2×C22⋊C4×C107—21no—
126C2×C22⋊C4×C107—21no—
127C2×C22⋊C4×C107—21no—
128C2×C22⋊C4×C107—22no—
129C2×C22⋊C4×C107—22no—
130C2×C22⋊C4×C107C2312yes—
131#107×C107—22no—
132#107×C107—21no—
133#106×C107—21no—
134#103×C107—21no—
135#102×C107—22no—
136#102×C107—21no—
137#102×C107—22no—
138#102×C107—21no—
139#102×C107—21no—
140C22⋊C8×C107—21no—
141C22⋊C8×C107—21no—
142C22⋊C8×C107C2312yes—
143C22⋊C8×C107C2311yescharacteristic
144C22⋊C8×C107C2311yescharacteristic
145#95×C107—21no—
146#95×C107—22no—
147#95×C107C2312yes—
148C24×C107—22no—
149C24×C107—21no—
150C24×C107—21no—
151C24×C107C2×D412yes—
152C24×C107C2×D411yescharacteristic
153#41×C107—81no—
154C2×Q8×C107C2×D411yescharacteristic
155C2×D4×C107—22no—
156C2×D4×C107—21no—
157C2×D4×C107—21no—
158C2×D4×C107—22no—
159C2×D4×C107—22no—
160C2×D4×C107—22no—
161C2×D4×C107—22no—
162C2×D4×C107—22no—
163C2×D4×C107—22no—
164C2×D4×C107—21no—
165C2×D4×C107—22no—
166C2×D4×C107—22no—
167C2×D4×C107—21no—
168C2×D4×C107—21no—
169C2×D4×C107—21no—
170C2×D4×C107—21no—
171C2×D4×C107—21no—
172C2×D4×C107—41no—
173C2×D4×C107—41no—
174C2×D4×C107—81no—
175C2×D4×C107—81no—
176C2×D4×C107—82no—
177C2×D4×C107—81no—
178C2×D4×C107—82no—
179C2×D4×C107—82no—
180C2×D4×C107—82no—
181C2×D4×C107—82no—
182C2×D4×C107—82no—
183C2×D4×C107—82no—
184C2×D4×C107—82no—
185C2×D4×C107—82no—
186C2×D4×C107—84no—
187C2×D4×C107C2×D411yescharacteristic
188C2×D4×C107C2×D412yes—
189C22×C4×C107—22no—
190C22×C4×C107—22no—
191C22×C4×C107—21no—
192C22×C4×C107—21no—
193C22×C4×C107—22no—
194C22×C4×C107—21no—
195C22×C4×C107—81no—
196C22×C4×C107C2×D412yes—
197C22×C4×C107C2×D411yescharacteristic
198C22×C4×C107C2×D411yescharacteristic
199C22×C4×C107C2×D411yescharacteristic
200C22×C4×C107C2×D411yescharacteristic
201C22×C4×C107C2×D411yescharacteristic
202C22×C4×C107C2411yescharacteristic
203SD16×C107—81no—
204D8×C107—82no—
205D8×C107—81no—
206M16×C107—81no—
207C2×C8×C107—22no—
208C2×C8×C107—21no—
209C2×C8×C107—21no—
210C2×C8×C107—81no—
211C4⋊C4×C107—22no—
212C4⋊C4×C107—22no—
213C4⋊C4×C107—21no—
214C4⋊C4×C107—21no—
215C4⋊C4×C107—21no—
216C4⋊C4×C107—21no—
217C4⋊C4×C107—21no—
218C4⋊C4×C107—21no—
219C4⋊C4×C107—21no—
220C4⋊C4×C107C2×D411yescharacteristic
221C4⋊C4×C107C2×D412yes—
222C4⋊C4×C107C2×D411yescharacteristic
223C22⋊C4×C107—22no—
224C22⋊C4×C107—22no—
225C22⋊C4×C107—22no—
226C22⋊C4×C107—22no—
227C22⋊C4×C107—22no—
228C22⋊C4×C107—21no—
229C22⋊C4×C107—21no—
230C22⋊C4×C107—21no—
231C22⋊C4×C107—22no—
232C22⋊C4×C107—21no—
233C22⋊C4×C107—22no—
234C22⋊C4×C107—22no—
235C22⋊C4×C107—22no—
236C22⋊C4×C107—21no—
237C22⋊C4×C107—41no—
238C22⋊C4×C107—41no—
239C22⋊C4×C107—82no—
240C22⋊C4×C107—82no—
241C22⋊C4×C107—81no—
242C42×C107—22no—
243C42×C107—21no—
244C23×C107—22no—
245C23×C107—22no—
246C23×C107—22no—
247C23×C107—21no—
248C23×C107—22no—
249C23×C107—22no—
250C23×C107—41no—
251C23×C107—41no—
252C23×C107—42no—
253C23×C107—42no—
254C23×C107—42no—
255C23×C107—41no—
256C23×C107—41no—
257C23×C107—42no—
258C23×C107—41no—
259C23×C107—42no—
260C23×C107—81no—
261C23×C107—81no—
262C23×C107—82no—
263C23×C107—82no—
264C23×C107—82no—
265C23×C107#12011yescharacteristic
266C23×C107#12011yescharacteristic
267C23×C107C22×D411yescharacteristic
268Q8×C107—41no—
269D4×C107—42no—
270D4×C107—41no—
271D4×C107—42no—
272D4×C107—42no—
273D4×C107—42no—
274D4×C107—41no—
275D4×C107—41no—
276D4×C107—44no—
277D4×C107—42no—
278D4×C107—42no—
279D4×C107—42no—
280D4×C107—42no—
281D4×C107—81no—
282D4×C107—82no—
283D4×C107—82no—
284D4×C107—81no—
285D4×C107—82no—
286D4×C107—82no—
287D4×C107—82no—
288D4×C107—82no—
289D4×C107—82no—
290D4×C107—82no—
291D4×C107—82no—
292D4×C107—88no—
293C2×C4×C107—21no—
294C2×C4×C107—22no—
295C2×C4×C107—22no—
296C2×C4×C107—21no—
297C2×C4×C107—21no—
298C2×C4×C107—41no—
299C2×C4×C107—41no—
300C2×C4×C107—41no—
301C2×C4×C107—41no—
302C2×C4×C107—41no—
303C2×C4×C107—41no—
304C2×C4×C107—42no—
305C2×C4×C107—42no—
306C2×C4×C107—42no—
307C2×C4×C107—42no—
308C2×C4×C107—41no—
309C2×C4×C107—42no—
310C2×C4×C107—42no—
311C2×C4×C107—81no—
312C2×C4×C107—82no—
313C2×C4×C107—82no—
314C2×C4×C107#12011yescharacteristic
315C2×C4×C107#12011yescharacteristic
316C2×C4×C107C22×D411yescharacteristic
317C2×C4×C107C22×D411yescharacteristic
318C8×C107—42no—
319C8×C107—41no—
320C8×C107—41no—
321C22×C107—21no—
322C22×C107—21no—
323C22×C107—21no—
324C22×C107—21no—
325C22×C107—21no—
326C22×C107—21no—
327C22×C107—21no—
328C22×C107—21no—
329C22×C107—42no—
330C22×C107—42no—
331C22×C107—41no—
332C22×C107—42no—
333C22×C107—42no—
334C22×C107—41no—
335C22×C107—41no—
336C22×C107—42no—
337C22×C107—42no—
338C22×C107—82no—
339C22×C107—82no—
340C22×C107—82no—
341C22×C107—82no—
342C22×C107—82no—
343C22×C107—81no—
344C22×C107—81no—
345C22×C107—81no—
346C22×C107—162no—
347C22×C107—164no—
348C22×C107C2×#12011yescharacteristic
349C22×C107#57612yes—
350C4×C107—21no—
351C4×C107—21no—
352C4×C107—21no—
353C4×C107—21no—
354C4×C107—42no—
355C4×C107—41no—
356C4×C107—42no—
357C4×C107—41no—
358C4×C107—41no—
359C4×C107—82no—
360C4×C107—81no—
361#18450C10711yesmaximal, characteristic, direct product factor, Sylow
362C2×C107—22no—
363C2×C107—41no—
364C2×C107—41no—
365C2×C107—82no—
366C2×C107—82no—
367C2×C107—81no—
368C2×C107—161no—
369C2×C107#300811yescharacteristic
370C2×C107#301911yescharacteristic
371C2×C107#302611yescharacteristic
372#3537C2×C10711yescharacteristic, complemented
373#3194C2×C10711yescharacteristic, complemented
374#3186C2×C10711yescharacteristic, complemented
375#2815C2×C10711yescharacteristic, complemented
376#1612C2×C10712yescomplemented
377#1607C2×C10712yescomplemented
378#1600C2×C10712yescomplemented
379#1595C2×C10712yescomplemented
380#1516C2×C10711yescharacteristic, complemented
381#1510C2×C10711yescharacteristic, complemented
382#1471C2×C10711yescharacteristic, complemented
383C107#1845011yescharacteristic, direct product factor, Sylow
384#560—22no—
385#553—21no—
386#553—21no—
387D42—22no—
388D42—21no—
389D42—21no—
390#540—21no—
391#538—21no—
392#538C22×C10712yes—
393#535—21no—
394#534—21no—
395#534C22×C10712yes—
396#525C22×C10711yescharacteristic
397C2×#121C22×C10711yescharacteristic
398C2×#121C22×C10711yescharacteristic
399C2×#121C22×C10711yescharacteristic, complemented
400#483C22×C10711yescharacteristic, complemented
401#482—21no—
402#480—21no—
403#480C22×C10711yescharacteristic, complemented
404#480C22×C10712yescomplemented
405#469—21no—
406#468—21no—
407#466—22no—
408#450C22×C10711yescharacteristic, complemented
409#449—21no—
410#447—21no—
411#447C22×C10711yescharacteristic, complemented
412#447C22×C10712yescomplemented
413#407C22×C10711yescharacteristic, complemented
414C2×C22⋊C8C22×C10711yescharacteristic, complemented
415#397—21no—
416#397C22×C10712yescomplemented
417#392—21no—
418#392—22no—
419#392C22×C10712yescomplemented
420#381C22×C10711yescharacteristic, complemented
421#328C22×C10712yescomplemented
422#327C22×C10712yescomplemented
423#327C22×C10712yescomplemented
424#327C22×C10712yescomplemented
425#323C22×C10712yescomplemented
426#323C22×C10712yescomplemented
427C2×#41D4×C10711yescharacteristic, complemented
428C22×D4—22no—
429C22×D4—21no—
430C22×D4—21no—
431C22×D4—22no—
432C22×D4—21no—
433C22×D4—22no—
434C22×D4D4×C10712yes—
435C22×D4D4×C10711yescharacteristic
436C22×D4D4×C10711yescharacteristic, complemented
437C22×D4C23×C10711yescharacteristic
438C23×C4C23×C10711yescharacteristic
439C2×SD16—21no—
440C2×D8—22no—
441C2×D8—21no—
442C2×M16—21no—
443C22×C8—21no—
444#127—22no—
445#127—21no—
446#126—22no—
447#126—22no—
448#125—21no—
449#124—22no—
450#123—22no—
451#123—21no—
452#123—22no—
453#123—22no—
454#123—22no—
455C22⋊Q8D4×C10711yescharacteristic, complemented
456C22⋊Q8C23×C10711yescharacteristic
457#121—22no—
458#121—21no—
459#121—21no—
460#121—22no—
461#121—22no—
462#121—22no—
463#121—22no—
464#121—21no—
465#121—21no—
466#121—21no—
467#121—21no—
468#121—21no—
469#121—21no—
470#121—22no—
471#121—21no—
472#121—21no—
473#121—21no—
474#121—21no—
475#121D4×C10712yescomplemented
476#121D4×C10711yescharacteristic, complemented
477#121C23×C10712yes—
478#121C23×C10711yescharacteristic
479#120—22no—
480#120—22no—
481#120—22no—
482#120—21no—
483#120—22no—
484#120—22no—
485#120—22no—
486C4×D4—22no—
487C4×D4—21no—
488C4×D4—21no—
489C4×D4—21no—
490C4×D4—21no—
491C4×D4—22no—
492#117—21no—
493#117D4×C10711yescharacteristic, complemented
494C2×C4⋊C4D4×C10711yescharacteristic
495C2×C4⋊C4D4×C10711yescharacteristic, complemented
496C2×C4⋊C4C23×C10711yescharacteristic
497C2×C22⋊C4—21no—
498C2×C22⋊C4—21no—
499C2×C22⋊C4—21no—
500C2×C22⋊C4—22no—
501C2×C22⋊C4—22no—
502C2×C22⋊C4C23×C10712yes—
503#107—22no—
504#107—21no—
505#106—21no—
506#103—21no—
507#102—22no—
508#102—21no—
509#102—22no—
510#102—21no—
511#102—21no—
512C22⋊C8—21no—
513C22⋊C8—21no—
514C22⋊C8C23×C10711yescharacteristic
515C22⋊C8C23×C10711yescharacteristic
516C22⋊C8C23×C10712yes—
517#95—21no—
518#95—22no—
519#95C23×C10712yes—
520C24—22no—
521C24—21no—
522C24—21no—
523C24C2×D4×C10712yes—
524C24C2×D4×C10711yescharacteristic
525#41—81no—
526C2×Q8C2×D4×C10711yescharacteristic
527C2×D4—22no—
528C2×D4—21no—
529C2×D4—21no—
530C2×D4—22no—
531C2×D4—22no—
532C2×D4—22no—
533C2×D4—22no—
534C2×D4—22no—
535C2×D4—22no—
536C2×D4—21no—
537C2×D4—22no—
538C2×D4—22no—
539C2×D4—21no—
540C2×D4—21no—
541C2×D4—21no—
542C2×D4—21no—
543C2×D4—21no—
544C2×D4—41no—
545C2×D4—41no—
546C2×D4—81no—
547C2×D4—81no—
548C2×D4—82no—
549C2×D4—81no—
550C2×D4—82no—
551C2×D4—82no—
552C2×D4—82no—
553C2×D4—82no—
554C2×D4—82no—
555C2×D4—82no—
556C2×D4—82no—
557C2×D4—82no—
558C2×D4—84no—
559C2×D4C2×D4×C10711yescharacteristic
560C2×D4C2×D4×C10712yes—
561C22×C4—22no—
562C22×C4—22no—
563C22×C4—21no—
564C22×C4—21no—
565C22×C4—22no—
566C22×C4—21no—
567C22×C4—81no—
568C22×C4C2×D4×C10712yes—
569C22×C4C2×D4×C10711yescharacteristic
570C22×C4C2×D4×C10711yescharacteristic
571C22×C4C2×D4×C10711yescharacteristic
572C22×C4C2×D4×C10711yescharacteristic
573C22×C4C2×D4×C10711yescharacteristic
574C22×C4C24×C10711yescharacteristic
575SD16—81no—
576D8—82no—
577D8—81no—
578M16—81no—
579C2×C8—22no—
580C2×C8—21no—
581C2×C8—21no—
582C2×C8—81no—
583C4⋊C4—22no—
584C4⋊C4—22no—
585C4⋊C4—21no—
586C4⋊C4—21no—
587C4⋊C4—21no—
588C4⋊C4—21no—
589C4⋊C4—21no—
590C4⋊C4—21no—
591C4⋊C4—21no—
592C4⋊C4C2×D4×C10711yescharacteristic
593C4⋊C4C2×D4×C10712yes—
594C4⋊C4C2×D4×C10711yescharacteristic
595C22⋊C4—22no—
596C22⋊C4—22no—
597C22⋊C4—22no—
598C22⋊C4—22no—
599C22⋊C4—22no—
600C22⋊C4—21no—
601C22⋊C4—21no—
602C22⋊C4—21no—
603C22⋊C4—22no—
604C22⋊C4—21no—
605C22⋊C4—22no—
606C22⋊C4—22no—
607C22⋊C4—22no—
608C22⋊C4—21no—
609C22⋊C4—41no—
610C22⋊C4—41no—
611C22⋊C4—82no—
612C22⋊C4—82no—
613C22⋊C4—81no—
614C42—22no—
615C42—21no—
616C23—22no—
617C23—22no—
618C23—22no—
619C23—21no—
620C23—22no—
621C23—22no—
622C23—41no—
623C23—41no—
624C23—42no—
625C23—42no—
626C23—42no—
627C23—41no—
628C23—41no—
629C23—42no—
630C23—41no—
631C23—42no—
632C23—81no—
633C23—81no—
634C23—82no—
635C23—82no—
636C23—82no—
637C23#120×C10711yescharacteristic
638C23#120×C10711yescharacteristic
639C23C22×D4×C10711yescharacteristic
640Q8—41no—
641D4—42no—
642D4—41no—
643D4—42no—
644D4—42no—
645D4—42no—
646D4—41no—
647D4—41no—
648D4—44no—
649D4—42no—
650D4—42no—
651D4—42no—
652D4—42no—
653D4—81no—
654D4—82no—
655D4—82no—
656D4—81no—
657D4—82no—
658D4—82no—
659D4—82no—
660D4—82no—
661D4—82no—
662D4—82no—
663D4—82no—
664D4—88no—
665C2×C4—21no—
666C2×C4—22no—
667C2×C4—22no—
668C2×C4—21no—
669C2×C4—21no—
670C2×C4—41no—
671C2×C4—41no—
672C2×C4—41no—
673C2×C4—41no—
674C2×C4—41no—
675C2×C4—41no—
676C2×C4—42no—
677C2×C4—42no—
678C2×C4—42no—
679C2×C4—42no—
680C2×C4—41no—
681C2×C4—42no—
682C2×C4—42no—
683C2×C4—81no—
684C2×C4—82no—
685C2×C4—82no—
686C2×C4#120×C10711yescharacteristic
687C2×C4#120×C10711yescharacteristic
688C2×C4C22×D4×C10711yescharacteristic
689C2×C4C22×D4×C10711yescharacteristic
690C8—42no—
691C8—41no—
692C8—41no—
693C22—21no—
694C22—21no—
695C22—21no—
696C22—21no—
697C22—21no—
698C22—21no—
699C22—21no—
700C22—21no—
701C22—42no—
702C22—42no—
703C22—41no—
704C22—42no—
705C22—42no—
706C22—41no—
707C22—41no—
708C22—42no—
709C22—42no—
710C22—82no—
711C22—82no—
712C22—82no—
713C22—82no—
714C22—82no—
715C22—81no—
716C22—81no—
717C22—81no—
718C22—162no—
719C22—164no—
720C22C2×#120×C10711yescharacteristic
721C22#576×C10712yes—
722C4—21no—
723C4—21no—
724C4—21no—
725C4—21no—
726C4—42no—
727C4—41no—
728C4—42no—
729C4—41no—
730C4—41no—
731C4—82no—
732C4—81no—
733C2—22no—
734C2—41no—
735C2—41no—
736C2—82no—
737C2—82no—
738C2—81no—
739C2—161no—
740C2C107×#300811yescharacteristic
741C2C107×#301911yescharacteristic
742C2C107×#302611yescharacteristic
subgroupG/H
center, socleC22×C107C2×#120
commutator, Frattini, cosocleC22×C4C24×C107
LCSG ▷ C22×C4 ▷ C22 ▷ C1
UCSC1 ◁ C22×C107 ◁ C23×C4×C107 ◁ G

Complements

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

NH ≅ G/Ntype
1. C107×#3537C2semidirect
2. C107×#3194C2semidirect
3. C107×#3186C2semidirect
4. C107×#2815C2semidirect
5. C107×#1612C2semidirect
6. C107×#1607C2semidirect
7. C107×#1600C2semidirect
8. C107×#1595C2semidirect
9. C107×#1516C2semidirect
10. C107×#1510C2semidirect
11. C107×#1471C2semidirect
27. C2×#121×C107C22semidirect
28. #483×C107C22semidirect
31. #480×C107C22semidirect
32. #480×C107C22semidirect
36. #450×C107C22semidirect
39. #447×C107C22semidirect
40. #447×C107C22semidirect
41. #407×C107C22semidirect
42. C2×C22⋊C8×C107C22semidirect
44. #397×C107C22semidirect
47. #392×C107C22semidirect
48. #381×C107C22semidirect
49. #328×C107C22semidirect
50. #327×C107C22semidirect
51. #327×C107C22semidirect
52. #327×C107C22semidirect
53. #323×C107C22semidirect
54. #323×C107C22semidirect
55. C2×#41×C107D4semidirect
64. C22×D4×C107D4semidirect
83. C22⋊Q8×C107D4semidirect
103. #121×C107D4semidirect
104. #121×C107D4semidirect
121. #117×C107D4semidirect
123. C2×C4⋊C4×C107D4semidirect
361. #18450C107direct (N × H)
372. #3537C2×C107semidirect
373. #3194C2×C107semidirect
374. #3186C2×C107semidirect
375. #2815C2×C107semidirect
376. #1612C2×C107semidirect
377. #1607C2×C107semidirect
378. #1600C2×C107semidirect
379. #1595C2×C107semidirect
380. #1516C2×C107semidirect
381. #1510C2×C107semidirect
382. #1471C2×C107semidirect
383. C107#18450direct (N × H)
399. C2×#121C22×C107semidirect
400. #483C22×C107semidirect
403. #480C22×C107semidirect
404. #480C22×C107semidirect
408. #450C22×C107semidirect
411. #447C22×C107semidirect
412. #447C22×C107semidirect
413. #407C22×C107semidirect
414. C2×C22⋊C8C22×C107semidirect
416. #397C22×C107semidirect
419. #392C22×C107semidirect
420. #381C22×C107semidirect
421. #328C22×C107semidirect
422. #327C22×C107semidirect
423. #327C22×C107semidirect
424. #327C22×C107semidirect
425. #323C22×C107semidirect
426. #323C22×C107semidirect
427. C2×#41D4×C107semidirect
436. C22×D4D4×C107semidirect
455. C22⋊Q8D4×C107semidirect
475. #121D4×C107semidirect
476. #121D4×C107semidirect
493. #117D4×C107semidirect
495. C2×C4⋊C4D4×C107semidirect

Maximal subgroups

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

subgroupindex
C107×#35372
C107×#31942
C107×#31862
C107×#28152
C107×#16122
C107×#16072
C107×#16002
C107×#15952
C107×#15162
C107×#15102
C107×#14712
#18450107