Finite Group Databasebeta

← C107×#19763 #41045727

Subgroups — C107×#19763 #41045727

Order 27392.

756 conjugacy classes of subgroups.

The subgroup lattice has 656 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C107×#3384C211yesmaximal, characteristic, complemented
2C107×#3295C211yesmaximal, characteristic, complemented
3D4×SD16×C107C211yesmaximal, characteristic, complemented
4D4×D8×C107C211yesmaximal, characteristic
5C107×#1715C211yesmaximal, characteristic, complemented
6C107×#1688C211yesmaximal, characteristic, complemented
7C107×#1677C211yesmaximal, characteristic, complemented
8C107×#1671C211yesmaximal, characteristic, complemented
9C107×#1665C211yesmaximal, characteristic, complemented
10C107×#1639C211yesmaximal, characteristic, complemented
11C107×#1629C211yesmaximal, characteristic, complemented
12C107×#1627C211yesmaximal, characteristic, complemented
13C107×#1622C211yesmaximal, characteristic, complemented
14C107×#1582C211yesmaximal, characteristic, complemented
15C107×#1580C211yesmaximal, characteristic, complemented
16C22×SD16×C107—21no—
17C22×D8×C107—21no—
18#554×C107C2211yescharacteristic, complemented
19D4×Q8×C107C2211yescharacteristic, complemented
20D42×C107C2211yescharacteristic
21D42×C107C2211yescharacteristic
22#501×C107—21no—
23#498×C107C2211yescharacteristic, complemented
24#493×C107C2211yescharacteristic
25#492×C107C2211yescharacteristic, complemented
26#492×C107C2211yescharacteristic, complemented
27#486×C107C2211yescharacteristic, complemented
28#486×C107C2211yescharacteristic, complemented
29#481×C107—21no—
30#478×C107—21no—
31#476×C107—21no—
32#476×C107C2211yescharacteristic
33#476×C107C2211yescharacteristic, complemented
34#474×C107C2211yescharacteristic, complemented
35#466×C107—21no—
36#465×C107—21no—
37#465×C107—21no—
38#461×C107C2211yescharacteristic
39#460×C107C2211yescharacteristic, complemented
40#460×C107C2211yescharacteristic, complemented
41#459×C107C2211yescharacteristic
42#459×C107C2211yescharacteristic
43#450×C107—21no—
44#450×C107—21no—
45#448×C107—21no—
46#447×C107—21no—
47#447×C107—21no—
48#446×C107C2211yescharacteristic, complemented
49#442×C107—21no—
50C4×SD16×C107C2211yescharacteristic
51C4×D8×C107C2211yescharacteristic
52C8×D4×C107C2211yescharacteristic
53C8×D4×C107C2211yescharacteristic, complemented
54C8×D4×C107C2211yescharacteristic, complemented
55C2×#102×C107—21no—
56#334×C107C2211yescharacteristic, complemented
57#334×C107C2211yescharacteristic, complemented
58#333×C107C2211yescharacteristic, complemented
59#332×C107C2211yescharacteristic, complemented
60#331×C107C2211yescharacteristic, complemented
61#331×C107C2211yescharacteristic, complemented
62Q8⋊C8×C107C2211yescharacteristic, complemented
63D4⋊C8×C107C2211yescharacteristic
64D4⋊C8×C107C2211yescharacteristic, complemented
65D4⋊C8×C107C2211yescharacteristic, complemented
66#322×C107C2211yescharacteristic, complemented
67C22×Q8×C107—21no—
68C22×D4×C107—21no—
69C22×D4×C107—21no—
70C22×D4×C107—21no—
71C22×D4×C107—21no—
72C2×SD16×C107—21no—
73C2×SD16×C107—21no—
74C2×SD16×C107—21no—
75C2×SD16×C107—21no—
76C2×SD16×C107—21no—
77C2×SD16×C107—41no—
78C2×SD16×C107—44no—
79C2×SD16×C107D411yescharacteristic
80C2×D8×C107—21no—
81C2×D8×C107—21no—
82C2×D8×C107—21no—
83C2×D8×C107—21no—
84C2×D8×C107—44no—
85C2×D8×C107D411yescharacteristic
86C22×C8×C107—21no—
87C22×C8×C107—21no—
88C22×C8×C107—21no—
89C4⋊Q8×C107—21no—
90C4⋊Q8×C107C2311yescharacteristic
91C4⋊Q8×C107C2311yescharacteristic
92#127×C107C2311yescharacteristic
93#127×C107C2311yescharacteristic
94#125×C107—21no—
95C22⋊Q8×C107—21no—
96C22⋊Q8×C107—21no—
97C22⋊Q8×C107—41no—
98C22⋊Q8×C107—41no—
99#121×C107—21no—
100#121×C107—21no—
101#121×C107—21no—
102#121×C107—21no—
103#120×C107—41no—
104#120×C107—41no—
105C4×Q8×C107C2311yescharacteristic
106C4×D4×C107—21no—
107C4×D4×C107—21no—
108C4×D4×C107C2311yescharacteristic
109C4×D4×C107C2311yescharacteristic
110C4×D4×C107C2311yescharacteristic
111C2×C4⋊C4×C107—21no—
112#107×C107—21no—
113#107×C107D411yescharacteristic
114#106×C107—21no—
115#106×C107—21no—
116#106×C107—21no—
117#106×C107—21no—
118#106×C107D411yescharacteristic
119C4⋊C8×C107—21no—
120C4⋊C8×C107C2311yescharacteristic
121C4⋊C8×C107C2311yescharacteristic
122C4⋊C8×C107C2311yescharacteristic
123C4⋊C8×C107C2311yescharacteristic
124#103×C107—21no—
125#103×C107D411yescharacteristic
126#102×C107—21no—
127#102×C107—21no—
128#102×C107—21no—
129#102×C107—21no—
130#102×C107—21no—
131#102×C107—21no—
132#102×C107—21no—
133#102×C107—21no—
134#102×C107—21no—
135#102×C107—41no—
136#102×C107D411yescharacteristic
137#102×C107D411yescharacteristic
138#102×C107D411yescharacteristic
139C22⋊C8×C107—21no—
140C22⋊C8×C107—21no—
141C22⋊C8×C107—21no—
142#97×C107—21no—
143C4×C8×C107C2311yescharacteristic
144C4×C8×C107C2311yescharacteristic
145C4×C8×C107C2311yescharacteristic
146C24×C107—41no—
147C24×C107—41no—
148C2×Q8×C107—21no—
149C2×Q8×C107—21no—
150C2×Q8×C107—41no—
151C2×Q8×C107—42no—
152C2×Q8×C107—81no—
153C2×Q8×C107C2×D411yescharacteristic
154C2×D4×C107—21no—
155C2×D4×C107—21no—
156C2×D4×C107—21no—
157C2×D4×C107—21no—
158C2×D4×C107—21no—
159C2×D4×C107—21no—
160C2×D4×C107—41no—
161C2×D4×C107—41no—
162C2×D4×C107—41no—
163C2×D4×C107—41no—
164C2×D4×C107—42no—
165C2×D4×C107—42no—
166C2×D4×C107—42no—
167C2×D4×C107—42no—
168C2×D4×C107—81no—
169C2×D4×C107—81no—
170C2×D4×C107—81no—
171C2×D4×C107—81no—
172C2×D4×C107C2×D411yescharacteristic
173C2×D4×C107C2×D411yescharacteristic
174C2×D4×C107C2×D411yescharacteristic
175C22×C4×C107—21no—
176C22×C4×C107—21no—
177C22×C4×C107—21no—
178C22×C4×C107—41no—
179C22×C4×C107—41no—
180SD16×C107—22no—
181SD16×C107—42no—
182SD16×C107—42no—
183SD16×C107—42no—
184SD16×C107—81no—
185SD16×C107—81no—
186SD16×C107—82no—
187D8×C107—42no—
188D8×C107—42no—
189D8×C107—42no—
190D8×C107—81no—
191D8×C107SD1614yescomplemented
192C2×C8×C107—21no—
193C2×C8×C107—21no—
194C2×C8×C107—21no—
195C2×C8×C107—21no—
196C2×C8×C107—21no—
197C2×C8×C107—42no—
198C2×C8×C107—42no—
199C2×C8×C107—81no—
200C2×C8×C107C2×D411yescharacteristic
201C2×C8×C107C2×D411yescharacteristic
202C2×C8×C107C2×D411yescharacteristic
203C2×C8×C107C2×D411yescharacteristic
204C4⋊C4×C107—21no—
205C4⋊C4×C107—21no—
206C4⋊C4×C107—21no—
207C4⋊C4×C107—21no—
208C4⋊C4×C107—21no—
209C4⋊C4×C107—41no—
210C4⋊C4×C107—41no—
211C4⋊C4×C107—41no—
212C4⋊C4×C107C2×D411yescharacteristic
213C4⋊C4×C107C2×D411yescharacteristic
214C4⋊C4×C107C2×D411yescharacteristic
215C4⋊C4×C107C2×D411yescharacteristic
216C22⋊C4×C107—21no—
217C22⋊C4×C107—21no—
218C22⋊C4×C107—21no—
219C22⋊C4×C107—41no—
220C22⋊C4×C107—41no—
221C22⋊C4×C107—41no—
222C22⋊C4×C107—41no—
223C42×C107—21no—
224C42×C107C2411yescharacteristic
225C23×C107—21no—
226C23×C107—21no—
227C23×C107—21no—
228C23×C107—41no—
229C23×C107—41no—
230C23×C107—82no—
231C23×C107—82no—
232C23×C107—82no—
233C23×C107—82no—
234C23×C107—161no—
235C23×C107—161no—
236Q8×C107—21no—
237Q8×C107—21no—
238Q8×C107—41no—
239Q8×C107—41no—
240Q8×C107—81no—
241Q8×C107—82no—
242D4×C107—21no—
243D4×C107—21no—
244D4×C107—21no—
245D4×C107—41no—
246D4×C107—41no—
247D4×C107—41no—
248D4×C107—41no—
249D4×C107—41no—
250D4×C107—41no—
251D4×C107—41no—
252D4×C107—41no—
253D4×C107—81no—
254D4×C107—81no—
255D4×C107—82no—
256D4×C107—82no—
257D4×C107—82no—
258D4×C107—82no—
259D4×C107C2×SD1612yes—
260D4×C107C2×SD1612yescomplemented
261D4×C107AGL(1,ℤ/8)12yes—
262C2×C4×C107—21no—
263C2×C4×C107—21no—
264C2×C4×C107—21no—
265C2×C4×C107—21no—
266C2×C4×C107—21no—
267C2×C4×C107—41no—
268C2×C4×C107—41no—
269C2×C4×C107—41no—
270C2×C4×C107—41no—
271C2×C4×C107—41no—
272C2×C4×C107—41no—
273C2×C4×C107—41no—
274C2×C4×C107—41no—
275C2×C4×C107—82no—
276C2×C4×C107—161no—
277C2×C4×C107C22×D411yescharacteristic
278C2×C4×C107C22×D411yescharacteristic
279C2×C4×C107H(5,𝔽2)11yescharacteristic
280C8×C107—21no—
281C8×C107—21no—
282C8×C107—21no—
283C8×C107—41no—
284C8×C107—41no—
285C8×C107—41no—
286C8×C107—41no—
287C8×C107—41no—
288C8×C107C2×SD1612yescomplemented
289C22×C107—22no—
290C22×C107—22no—
291C22×C107—22no—
292C22×C107—41no—
293C22×C107—41no—
294C22×C107—41no—
295C22×C107—41no—
296C22×C107—41no—
297C22×C107—41no—
298C22×C107—81no—
299C22×C107—81no—
300C22×C107—81no—
301C22×C107—81no—
302C22×C107—81no—
303C22×C107—81no—
304C22×C107—164no—
305C22×C107—164no—
306C22×C107D4211yescharacteristic
307C4×C107—21no—
308C4×C107—41no—
309C4×C107—41no—
310C4×C107—41no—
311C4×C107—41no—
312C4×C107—41no—
313C4×C107—81no—
314C4×C107—81no—
315C4×C107C22×SD1611yescharacteristic
316C4×C107C2×AGL(1,ℤ/8)11yescharacteristic
317C4×C107#57611yescharacteristic
318C4×C107#57711yescharacteristic
319#19763C10711yesmaximal, characteristic, direct product factor, Sylow
320C2×C107—42no—
321C2×C107—42no—
322C2×C107—42no—
323C2×C107—161no—
324C2×C107—161no—
325C2×C107#326411yescharacteristic
326C2×C107D4×SD1611yescharacteristic
327C2×C107#328811yescharacteristic
328#3384C2×C10711yescharacteristic, complemented
329#3295C2×C10711yescharacteristic, complemented
330D4×SD16C2×C10711yescharacteristic, complemented
331D4×D8C2×C10711yescharacteristic
332#1715C2×C10711yescharacteristic, complemented
333#1688C2×C10711yescharacteristic, complemented
334#1677C2×C10711yescharacteristic, complemented
335#1671C2×C10711yescharacteristic, complemented
336#1665C2×C10711yescharacteristic, complemented
337#1639C2×C10711yescharacteristic, complemented
338#1629C2×C10711yescharacteristic, complemented
339#1627C2×C10711yescharacteristic, complemented
340#1622C2×C10711yescharacteristic, complemented
341#1582C2×C10711yescharacteristic, complemented
342#1580C2×C10711yescharacteristic, complemented
343C107#1976311yescharacteristic, direct product factor, Sylow
344C22×SD16—21no—
345C22×D8—21no—
346#554C22×C10711yescharacteristic, complemented
347D4×Q8C22×C10711yescharacteristic, complemented
348D42C22×C10711yescharacteristic
349D42C22×C10711yescharacteristic
350#501—21no—
351#498C22×C10711yescharacteristic, complemented
352#493C22×C10711yescharacteristic
353#492C22×C10711yescharacteristic, complemented
354#492C22×C10711yescharacteristic, complemented
355#486C22×C10711yescharacteristic, complemented
356#486C22×C10711yescharacteristic, complemented
357#481—21no—
358#478—21no—
359#476—21no—
360#476C22×C10711yescharacteristic
361#476C22×C10711yescharacteristic, complemented
362#474C22×C10711yescharacteristic, complemented
363#466—21no—
364#465—21no—
365#465—21no—
366#461C22×C10711yescharacteristic
367#460C22×C10711yescharacteristic, complemented
368#460C22×C10711yescharacteristic, complemented
369#459C22×C10711yescharacteristic
370#459C22×C10711yescharacteristic
371#450—21no—
372#450—21no—
373#448—21no—
374#447—21no—
375#447—21no—
376#446C22×C10711yescharacteristic, complemented
377#442—21no—
378C4×SD16C22×C10711yescharacteristic
379C4×D8C22×C10711yescharacteristic
380C8×D4C22×C10711yescharacteristic
381C8×D4C22×C10711yescharacteristic, complemented
382C8×D4C22×C10711yescharacteristic, complemented
383C2×#102—21no—
384#334C22×C10711yescharacteristic, complemented
385#334C22×C10711yescharacteristic, complemented
386#333C22×C10711yescharacteristic, complemented
387#332C22×C10711yescharacteristic, complemented
388#331C22×C10711yescharacteristic, complemented
389#331C22×C10711yescharacteristic, complemented
390Q8⋊C8C22×C10711yescharacteristic, complemented
391D4⋊C8C22×C10711yescharacteristic
392D4⋊C8C22×C10711yescharacteristic, complemented
393D4⋊C8C22×C10711yescharacteristic, complemented
394#322C22×C10711yescharacteristic, complemented
395C22×Q8—21no—
396C22×D4—21no—
397C22×D4—21no—
398C22×D4—21no—
399C22×D4—21no—
400C2×SD16—21no—
401C2×SD16—21no—
402C2×SD16—21no—
403C2×SD16—21no—
404C2×SD16—21no—
405C2×SD16—41no—
406C2×SD16—44no—
407C2×SD16D4×C10711yescharacteristic
408C2×D8—21no—
409C2×D8—21no—
410C2×D8—21no—
411C2×D8—21no—
412C2×D8—44no—
413C2×D8D4×C10711yescharacteristic
414C22×C8—21no—
415C22×C8—21no—
416C22×C8—21no—
417C4⋊Q8—21no—
418C4⋊Q8C23×C10711yescharacteristic
419C4⋊Q8C23×C10711yescharacteristic
420#127C23×C10711yescharacteristic
421#127C23×C10711yescharacteristic
422#125—21no—
423C22⋊Q8—21no—
424C22⋊Q8—21no—
425C22⋊Q8—41no—
426C22⋊Q8—41no—
427#121—21no—
428#121—21no—
429#121—21no—
430#121—21no—
431#120—41no—
432#120—41no—
433C4×Q8C23×C10711yescharacteristic
434C4×D4—21no—
435C4×D4—21no—
436C4×D4C23×C10711yescharacteristic
437C4×D4C23×C10711yescharacteristic
438C4×D4C23×C10711yescharacteristic
439C2×C4⋊C4—21no—
440#107—21no—
441#107D4×C10711yescharacteristic
442#106—21no—
443#106—21no—
444#106—21no—
445#106—21no—
446#106D4×C10711yescharacteristic
447C4⋊C8—21no—
448C4⋊C8C23×C10711yescharacteristic
449C4⋊C8C23×C10711yescharacteristic
450C4⋊C8C23×C10711yescharacteristic
451C4⋊C8C23×C10711yescharacteristic
452#103—21no—
453#103D4×C10711yescharacteristic
454#102—21no—
455#102—21no—
456#102—21no—
457#102—21no—
458#102—21no—
459#102—21no—
460#102—21no—
461#102—21no—
462#102—21no—
463#102—41no—
464#102D4×C10711yescharacteristic
465#102D4×C10711yescharacteristic
466#102D4×C10711yescharacteristic
467C22⋊C8—21no—
468C22⋊C8—21no—
469C22⋊C8—21no—
470#97—21no—
471C4×C8C23×C10711yescharacteristic
472C4×C8C23×C10711yescharacteristic
473C4×C8C23×C10711yescharacteristic
474C24—41no—
475C24—41no—
476C2×Q8—21no—
477C2×Q8—21no—
478C2×Q8—41no—
479C2×Q8—42no—
480C2×Q8—81no—
481C2×Q8C2×D4×C10711yescharacteristic
482C2×D4—21no—
483C2×D4—21no—
484C2×D4—21no—
485C2×D4—21no—
486C2×D4—21no—
487C2×D4—21no—
488C2×D4—41no—
489C2×D4—41no—
490C2×D4—41no—
491C2×D4—41no—
492C2×D4—42no—
493C2×D4—42no—
494C2×D4—42no—
495C2×D4—42no—
496C2×D4—81no—
497C2×D4—81no—
498C2×D4—81no—
499C2×D4—81no—
500C2×D4C2×D4×C10711yescharacteristic
501C2×D4C2×D4×C10711yescharacteristic
502C2×D4C2×D4×C10711yescharacteristic
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—21no—
506C22×C4—41no—
507C22×C4—41no—
508SD16—22no—
509SD16—42no—
510SD16—42no—
511SD16—42no—
512SD16—81no—
513SD16—81no—
514SD16—82no—
515D8—42no—
516D8—42no—
517D8—42no—
518D8—81no—
519D8SD16×C10714yescomplemented
520C2×C8—21no—
521C2×C8—21no—
522C2×C8—21no—
523C2×C8—21no—
524C2×C8—21no—
525C2×C8—42no—
526C2×C8—42no—
527C2×C8—81no—
528C2×C8C2×D4×C10711yescharacteristic
529C2×C8C2×D4×C10711yescharacteristic
530C2×C8C2×D4×C10711yescharacteristic
531C2×C8C2×D4×C10711yescharacteristic
532C4⋊C4—21no—
533C4⋊C4—21no—
534C4⋊C4—21no—
535C4⋊C4—21no—
536C4⋊C4—21no—
537C4⋊C4—41no—
538C4⋊C4—41no—
539C4⋊C4—41no—
540C4⋊C4C2×D4×C10711yescharacteristic
541C4⋊C4C2×D4×C10711yescharacteristic
542C4⋊C4C2×D4×C10711yescharacteristic
543C4⋊C4C2×D4×C10711yescharacteristic
544C22⋊C4—21no—
545C22⋊C4—21no—
546C22⋊C4—21no—
547C22⋊C4—41no—
548C22⋊C4—41no—
549C22⋊C4—41no—
550C22⋊C4—41no—
551C42—21no—
552C42C24×C10711yescharacteristic
553C23—21no—
554C23—21no—
555C23—21no—
556C23—41no—
557C23—41no—
558C23—82no—
559C23—82no—
560C23—82no—
561C23—82no—
562C23—161no—
563C23—161no—
564Q8—21no—
565Q8—21no—
566Q8—41no—
567Q8—41no—
568Q8—81no—
569Q8—82no—
570D4—21no—
571D4—21no—
572D4—21no—
573D4—41no—
574D4—41no—
575D4—41no—
576D4—41no—
577D4—41no—
578D4—41no—
579D4—41no—
580D4—41no—
581D4—81no—
582D4—81no—
583D4—82no—
584D4—82no—
585D4—82no—
586D4—82no—
587D4C2×SD16×C10712yes—
588D4C2×SD16×C10712yescomplemented
589D4AGL(1,ℤ/8)×C10712yes—
590C2×C4—21no—
591C2×C4—21no—
592C2×C4—21no—
593C2×C4—21no—
594C2×C4—21no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—41no—
599C2×C4—41no—
600C2×C4—41no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—82no—
604C2×C4—161no—
605C2×C4C22×D4×C10711yescharacteristic
606C2×C4C22×D4×C10711yescharacteristic
607C2×C4H(5,𝔽2)×C10711yescharacteristic
608C8—21no—
609C8—21no—
610C8—21no—
611C8—41no—
612C8—41no—
613C8—41no—
614C8—41no—
615C8—41no—
616C8C2×SD16×C10712yescomplemented
617C22—22no—
618C22—22no—
619C22—22no—
620C22—41no—
621C22—41no—
622C22—41no—
623C22—41no—
624C22—41no—
625C22—41no—
626C22—81no—
627C22—81no—
628C22—81no—
629C22—81no—
630C22—81no—
631C22—81no—
632C22—164no—
633C22—164no—
634C22D42×C10711yescharacteristic
635C4—21no—
636C4—41no—
637C4—41no—
638C4—41no—
639C4—41no—
640C4—41no—
641C4—81no—
642C4—81no—
643C4C22×SD16×C10711yescharacteristic
644C4C2×AGL(1,ℤ/8)×C10711yescharacteristic
645C4#576×C10711yescharacteristic
646C4#577×C10711yescharacteristic
647C2—42no—
648C2—42no—
649C2—42no—
650C2—161no—
651C2—161no—
652C2C107×#326411yescharacteristic
653C2D4×SD16×C10711yescharacteristic
654C2C107×#328811yescharacteristic
subgroupG/H
center, socleC22×C107D42
commutator, Frattini, cosocleC42C24×C107
prime radicalD4×D8×C107C2
LCSG ▷ C42 ▷ C22 ▷ C1
UCSC1 ◁ C22×C107 ◁ C42×C107 ◁ G

Complements

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

NH ≅ G/Ntype
1. C107×#3384C2semidirect
2. C107×#3295C2semidirect
3. D4×SD16×C107C2semidirect
5. C107×#1715C2semidirect
6. C107×#1688C2semidirect
7. C107×#1677C2semidirect
8. C107×#1671C2semidirect
9. C107×#1665C2semidirect
10. C107×#1639C2semidirect
11. C107×#1629C2semidirect
12. C107×#1627C2semidirect
13. C107×#1622C2semidirect
14. C107×#1582C2semidirect
15. C107×#1580C2semidirect
18. #554×C107C22semidirect
19. D4×Q8×C107C22semidirect
23. #498×C107C22semidirect
25. #492×C107C22semidirect
26. #492×C107C22semidirect
27. #486×C107C22semidirect
28. #486×C107C22semidirect
33. #476×C107C22semidirect
34. #474×C107C22semidirect
39. #460×C107C22semidirect
40. #460×C107C22semidirect
48. #446×C107C22semidirect
53. C8×D4×C107C22semidirect
54. C8×D4×C107C22semidirect
56. #334×C107C22semidirect
57. #334×C107C22semidirect
58. #333×C107C22semidirect
59. #332×C107C22semidirect
60. #331×C107C22semidirect
61. #331×C107C22semidirect
62. Q8⋊C8×C107C22semidirect
64. D4⋊C8×C107C22semidirect
65. D4⋊C8×C107C22semidirect
66. #322×C107C22semidirect
191. D8×C107SD16semidirect
260. D4×C107C2×SD16semidirect
288. C8×C107C2×SD16semidirect
319. #19763C107direct (N × H)
328. #3384C2×C107semidirect
329. #3295C2×C107semidirect
330. D4×SD16C2×C107semidirect
332. #1715C2×C107semidirect
333. #1688C2×C107semidirect
334. #1677C2×C107semidirect
335. #1671C2×C107semidirect
336. #1665C2×C107semidirect
337. #1639C2×C107semidirect
338. #1629C2×C107semidirect
339. #1627C2×C107semidirect
340. #1622C2×C107semidirect
341. #1582C2×C107semidirect
342. #1580C2×C107semidirect
343. C107#19763direct (N × H)
346. #554C22×C107semidirect
347. D4×Q8C22×C107semidirect
351. #498C22×C107semidirect
353. #492C22×C107semidirect
354. #492C22×C107semidirect
355. #486C22×C107semidirect
356. #486C22×C107semidirect
361. #476C22×C107semidirect
362. #474C22×C107semidirect
367. #460C22×C107semidirect
368. #460C22×C107semidirect
376. #446C22×C107semidirect
381. C8×D4C22×C107semidirect
382. C8×D4C22×C107semidirect
384. #334C22×C107semidirect
385. #334C22×C107semidirect
386. #333C22×C107semidirect
387. #332C22×C107semidirect
388. #331C22×C107semidirect
389. #331C22×C107semidirect
390. Q8⋊C8C22×C107semidirect
392. D4⋊C8C22×C107semidirect
393. D4⋊C8C22×C107semidirect
394. #322C22×C107semidirect
519. D8SD16×C107semidirect
588. D4C2×SD16×C107semidirect
616. C8C2×SD16×C107semidirect

Maximal subgroups

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

subgroupindex
C107×#33842
C107×#32952
D4×SD16×C1072
D4×D8×C1072
C107×#17152
C107×#16882
C107×#16772
C107×#16712
C107×#16652
C107×#16392
C107×#16292
C107×#16272
C107×#16222
C107×#15822
C107×#15802
#19763107