Finite Group Databasebeta

← C107×#19788 #41045752

Subgroups — C107×#19788 #41045752

Order 27392.

704 conjugacy classes of subgroups.

The subgroup lattice has 640 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C107×#3366C211yesmaximal, characteristic, complemented
2C107×#3295C211yesmaximal, characteristic, complemented
3C107×#3294C211yesmaximal, characteristic, complemented
4C107×#3284C211yesmaximal, characteristic, complemented
5C107×#1717C211yesmaximal, characteristic, complemented
6C107×#1702C211yesmaximal, characteristic, complemented
7C107×#1677C211yesmaximal, characteristic, complemented
8C107×#1677C211yesmaximal, characteristic, complemented
9C107×#1665C211yesmaximal, characteristic, complemented
10C107×#1644C211yesmaximal, characteristic, complemented
11C107×#1635C211yesmaximal, characteristic, complemented
12C107×#1621C211yesmaximal, characteristic, complemented
13C107×#1619C211yesmaximal, characteristic, complemented
14C107×#1582C211yesmaximal, characteristic, complemented
15C107×#1580C211yesmaximal, characteristic, complemented
16C2×#135×C107—21no—
17#554×C107C2211yescharacteristic
18#550×C107C2211yescharacteristic, complemented
19#547×C107C2211yescharacteristic
20D42×C107C2211yescharacteristic
21#493×C107C2211yescharacteristic
22#492×C107C2211yescharacteristic, complemented
23#490×C107—21no—
24#487×C107C2211yescharacteristic, complemented
25#486×C107C2211yescharacteristic
26#486×C107C2211yescharacteristic
27#486×C107C2211yescharacteristic, complemented
28#481×C107—21no—
29#480×C107—21no—
30#478×C107—21no—
31#476×C107C2211yescharacteristic
32#476×C107C2211yescharacteristic, complemented
33#474×C107C2211yescharacteristic
34#466×C107—21no—
35#465×C107—21no—
36#465×C107—21no—
37#462×C107C2211yescharacteristic, complemented
38#460×C107C2211yescharacteristic
39#459×C107—21no—
40#459×C107C2211yescharacteristic
41#459×C107C2211yescharacteristic
42#459×C107C2211yescharacteristic
43#452×C107—21no—
44#450×C107—21no—
45#449×C107—21no—
46#447×C107—21no—
47#446×C107C2211yescharacteristic, complemented
48#442×C107—21no—
49C4×SD16×C107C2211yescharacteristic
50C4×D8×C107C2211yescharacteristic
51C8×D4×C107C2211yescharacteristic
52C8×D4×C107C2211yescharacteristic
53C8×D4×C107C2211yescharacteristic, complemented
54C2×#102×C107—21no—
55C2×#102×C107—21no—
56#334×C107C2211yescharacteristic, complemented
57#334×C107C2211yescharacteristic, complemented
58#333×C107C2211yescharacteristic, complemented
59#332×C107C2211yescharacteristic, complemented
60#331×C107C2211yescharacteristic
61#331×C107C2211yescharacteristic, complemented
62Q8⋊C8×C107C2211yescharacteristic, complemented
63D4⋊C8×C107C2211yescharacteristic
64D4⋊C8×C107C2211yescharacteristic
65D4⋊C8×C107C2211yescharacteristic, complemented
66#322×C107C2211yescharacteristic, complemented
67C2×#41×C107—21no—
68C2×#41×C107—21no—
69C22×D4×C107—21no—
70C22×D4×C107—21no—
71#135×C107—44no—
72C2×Q16×C107—21no—
73C2×SD16×C107—21no—
74C2×SD16×C107—21no—
75C2×SD16×C107—21no—
76C2×SD16×C107D411yescharacteristic
77C2×D8×C107—21no—
78C2×D8×C107—21no—
79C2×D8×C107—21no—
80C2×D8×C107—41no—
81C2×D8×C107D411yescharacteristic
82C22×C8×C107—21no—
83C22×C8×C107—21no—
84C22×C8×C107—21no—
85C4⋊Q8×C107C2311yescharacteristic
86C4⋊Q8×C107C2311yescharacteristic
87#127×C107—21no—
88#127×C107C2311yescharacteristic
89#127×C107C2311yescharacteristic
90#125×C107—21no—
91#123×C107—41no—
92C22⋊Q8×C107—21no—
93C22⋊Q8×C107—21no—
94C22⋊Q8×C107—41no—
95#121×C107—21no—
96#121×C107—21no—
97#121×C107—21no—
98#121×C107—21no—
99#121×C107—41no—
100#120×C107—41no—
101C4×Q8×C107C2311yescharacteristic
102C4×D4×C107—21no—
103C4×D4×C107—21no—
104C4×D4×C107C2311yescharacteristic
105C4×D4×C107C2311yescharacteristic
106C4×D4×C107C2311yescharacteristic
107C2×C4⋊C4×C107—21no—
108C2×C4⋊C4×C107—21no—
109#107×C107—21no—
110#107×C107D411yescharacteristic
111#106×C107—21no—
112#106×C107—21no—
113#106×C107D411yescharacteristic
114C4⋊C8×C107—21no—
115C4⋊C8×C107C2311yescharacteristic
116C4⋊C8×C107C2311yescharacteristic
117C4⋊C8×C107C2311yescharacteristic
118C4⋊C8×C107C2311yescharacteristic
119#103×C107—21no—
120#103×C107—41no—
121#103×C107D411yescharacteristic
122#102×C107—21no—
123#102×C107—21no—
124#102×C107—21no—
125#102×C107—21no—
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×C107D411yescharacteristic
136#102×C107D411yescharacteristic
137#102×C107D411yescharacteristic
138C22⋊C8×C107—21no—
139C22⋊C8×C107—21no—
140C22⋊C8×C107—21no—
141#97×C107—21no—
142C4×C8×C107C2311yescharacteristic
143C4×C8×C107C2311yescharacteristic
144C4×C8×C107C2311yescharacteristic
145C24×C107—41no—
146#41×C107—42no—
147#41×C107—42no—
148#41×C107—81no—
149#41×C107—81no—
150C2×Q8×C107—21no—
151C2×Q8×C107—21no—
152C2×Q8×C107C2×D411yescharacteristic
153C2×D4×C107—21no—
154C2×D4×C107—21no—
155C2×D4×C107—21no—
156C2×D4×C107—21no—
157C2×D4×C107—21no—
158C2×D4×C107—21no—
159C2×D4×C107—41no—
160C2×D4×C107—41no—
161C2×D4×C107—41no—
162C2×D4×C107—41no—
163C2×D4×C107—42no—
164C2×D4×C107—42no—
165C2×D4×C107—41no—
166C2×D4×C107—81no—
167C2×D4×C107—81no—
168C2×D4×C107C2×D411yescharacteristic
169C2×D4×C107C2×D411yescharacteristic
170C2×D4×C107C2×D411yescharacteristic
171C22×C4×C107—21no—
172C22×C4×C107—21no—
173C22×C4×C107—21no—
174C22×C4×C107—41no—
175C22×C4×C107—41no—
176C22×C4×C107—41no—
177Q16×C107—42no—
178SD16×C107—22no—
179SD16×C107—42no—
180SD16×C107—81no—
181SD16×C107—81no—
182D8×C107—22no—
183D8×C107—42no—
184D8×C107—42no—
185D8×C107—81no—
186D8×C107—82no—
187C2×C8×C107—21no—
188C2×C8×C107—21no—
189C2×C8×C107—21no—
190C2×C8×C107—21no—
191C2×C8×C107—21no—
192C2×C8×C107—42no—
193C2×C8×C107—81no—
194C2×C8×C107—81no—
195C2×C8×C107C2×D411yescharacteristic
196C2×C8×C107C2×D411yescharacteristic
197C2×C8×C107C2×D411yescharacteristic
198C2×C8×C107C2×D411yescharacteristic
199C4⋊C4×C107—21no—
200C4⋊C4×C107—21no—
201C4⋊C4×C107—21no—
202C4⋊C4×C107—21no—
203C4⋊C4×C107—21no—
204C4⋊C4×C107—41no—
205C4⋊C4×C107—41no—
206C4⋊C4×C107—41no—
207C4⋊C4×C107C2×D411yescharacteristic
208C4⋊C4×C107C2×D411yescharacteristic
209C4⋊C4×C107C2×D411yescharacteristic
210C4⋊C4×C107C2×D411yescharacteristic
211C22⋊C4×C107—21no—
212C22⋊C4×C107—21no—
213C22⋊C4×C107—21no—
214C22⋊C4×C107—41no—
215C22⋊C4×C107—41no—
216C22⋊C4×C107—41no—
217C22⋊C4×C107—41no—
218C42×C107—21no—
219C42×C107C2411yescharacteristic
220C23×C107—21no—
221C23×C107—21no—
222C23×C107—21no—
223C23×C107—41no—
224C23×C107—41no—
225C23×C107—82no—
226C23×C107—82no—
227C23×C107—161no—
228Q8×C107—21no—
229Q8×C107—21no—
230Q8×C107—41no—
231Q8×C107—41no—
232Q8×C107—81no—
233D4×C107—21no—
234D4×C107—21no—
235D4×C107—21no—
236D4×C107—21no—
237D4×C107—41no—
238D4×C107—41no—
239D4×C107—41no—
240D4×C107—41no—
241D4×C107—41no—
242D4×C107—41no—
243D4×C107—41no—
244D4×C107—41no—
245D4×C107—81no—
246D4×C107—81no—
247D4×C107—82no—
248D4×C107—82no—
249D4×C107—82no—
250D4×C107—82no—
251D4×C107—161no—
252D4×C107#13512yescomplemented
253D4×C107AGL(1,ℤ/8)12yes—
254C2×C4×C107—21no—
255C2×C4×C107—21no—
256C2×C4×C107—21no—
257C2×C4×C107—21no—
258C2×C4×C107—21no—
259C2×C4×C107—41no—
260C2×C4×C107—41no—
261C2×C4×C107—41no—
262C2×C4×C107—41no—
263C2×C4×C107—41no—
264C2×C4×C107—41no—
265C2×C4×C107—41no—
266C2×C4×C107—41no—
267C2×C4×C107—82no—
268C2×C4×C107—82no—
269C2×C4×C107—161no—
270C2×C4×C107C22×D411yescharacteristic
271C2×C4×C107C22×D411yescharacteristic
272C2×C4×C107H(5,𝔽2)11yescharacteristic
273C8×C107—21no—
274C8×C107—21no—
275C8×C107—21no—
276C8×C107—21no—
277C8×C107—41no—
278C8×C107—41no—
279C8×C107—41no—
280C8×C107—41no—
281C8×C107—41no—
282C22×C107—22no—
283C22×C107—22no—
284C22×C107—41no—
285C22×C107—41no—
286C22×C107—41no—
287C22×C107—41no—
288C22×C107—41no—
289C22×C107—41no—
290C22×C107—41no—
291C22×C107—81no—
292C22×C107—81no—
293C22×C107—81no—
294C22×C107—81no—
295C22×C107—81no—
296C22×C107—81no—
297C22×C107—164no—
298C22×C107D4211yescharacteristic
299C4×C107—21no—
300C4×C107—41no—
301C4×C107—41no—
302C4×C107—41no—
303C4×C107—41no—
304C4×C107—41no—
305C4×C107—81no—
306C4×C107—81no—
307C4×C107C2×#13511yescharacteristic
308C4×C107C2×AGL(1,ℤ/8)11yescharacteristic
309C4×C107#57611yescharacteristic
310C4×C107#57711yescharacteristic
311#19788C10711yesmaximal, characteristic, direct product factor, Sylow
312C2×C107—42no—
313C2×C107—42no—
314C2×C107—81no—
315C2×C107—161no—
316C2×C107—161no—
317C2×C107#326411yescharacteristic
318C2×C107#328211yescharacteristic
319C2×C107#328811yescharacteristic
320#3366C2×C10711yescharacteristic, complemented
321#3295C2×C10711yescharacteristic, complemented
322#3294C2×C10711yescharacteristic, complemented
323#3284C2×C10711yescharacteristic, complemented
324#1717C2×C10711yescharacteristic, complemented
325#1702C2×C10711yescharacteristic, complemented
326#1677C2×C10711yescharacteristic, complemented
327#1677C2×C10711yescharacteristic, complemented
328#1665C2×C10711yescharacteristic, complemented
329#1644C2×C10711yescharacteristic, complemented
330#1635C2×C10711yescharacteristic, complemented
331#1621C2×C10711yescharacteristic, complemented
332#1619C2×C10711yescharacteristic, complemented
333#1582C2×C10711yescharacteristic, complemented
334#1580C2×C10711yescharacteristic, complemented
335C107#1978811yescharacteristic, direct product factor, Sylow
336C2×#135—21no—
337#554C22×C10711yescharacteristic
338#550C22×C10711yescharacteristic, complemented
339#547C22×C10711yescharacteristic
340D42C22×C10711yescharacteristic
341#493C22×C10711yescharacteristic
342#492C22×C10711yescharacteristic, complemented
343#490—21no—
344#487C22×C10711yescharacteristic, complemented
345#486C22×C10711yescharacteristic
346#486C22×C10711yescharacteristic
347#486C22×C10711yescharacteristic, complemented
348#481—21no—
349#480—21no—
350#478—21no—
351#476C22×C10711yescharacteristic
352#476C22×C10711yescharacteristic, complemented
353#474C22×C10711yescharacteristic
354#466—21no—
355#465—21no—
356#465—21no—
357#462C22×C10711yescharacteristic, complemented
358#460C22×C10711yescharacteristic
359#459—21no—
360#459C22×C10711yescharacteristic
361#459C22×C10711yescharacteristic
362#459C22×C10711yescharacteristic
363#452—21no—
364#450—21no—
365#449—21no—
366#447—21no—
367#446C22×C10711yescharacteristic, complemented
368#442—21no—
369C4×SD16C22×C10711yescharacteristic
370C4×D8C22×C10711yescharacteristic
371C8×D4C22×C10711yescharacteristic
372C8×D4C22×C10711yescharacteristic
373C8×D4C22×C10711yescharacteristic, complemented
374C2×#102—21no—
375C2×#102—21no—
376#334C22×C10711yescharacteristic, complemented
377#334C22×C10711yescharacteristic, complemented
378#333C22×C10711yescharacteristic, complemented
379#332C22×C10711yescharacteristic, complemented
380#331C22×C10711yescharacteristic
381#331C22×C10711yescharacteristic, complemented
382Q8⋊C8C22×C10711yescharacteristic, complemented
383D4⋊C8C22×C10711yescharacteristic
384D4⋊C8C22×C10711yescharacteristic
385D4⋊C8C22×C10711yescharacteristic, complemented
386#322C22×C10711yescharacteristic, complemented
387C2×#41—21no—
388C2×#41—21no—
389C22×D4—21no—
390C22×D4—21no—
391#135—44no—
392C2×Q16—21no—
393C2×SD16—21no—
394C2×SD16—21no—
395C2×SD16—21no—
396C2×SD16D4×C10711yescharacteristic
397C2×D8—21no—
398C2×D8—21no—
399C2×D8—21no—
400C2×D8—41no—
401C2×D8D4×C10711yescharacteristic
402C22×C8—21no—
403C22×C8—21no—
404C22×C8—21no—
405C4⋊Q8C23×C10711yescharacteristic
406C4⋊Q8C23×C10711yescharacteristic
407#127—21no—
408#127C23×C10711yescharacteristic
409#127C23×C10711yescharacteristic
410#125—21no—
411#123—41no—
412C22⋊Q8—21no—
413C22⋊Q8—21no—
414C22⋊Q8—41no—
415#121—21no—
416#121—21no—
417#121—21no—
418#121—21no—
419#121—41no—
420#120—41no—
421C4×Q8C23×C10711yescharacteristic
422C4×D4—21no—
423C4×D4—21no—
424C4×D4C23×C10711yescharacteristic
425C4×D4C23×C10711yescharacteristic
426C4×D4C23×C10711yescharacteristic
427C2×C4⋊C4—21no—
428C2×C4⋊C4—21no—
429#107—21no—
430#107D4×C10711yescharacteristic
431#106—21no—
432#106—21no—
433#106D4×C10711yescharacteristic
434C4⋊C8—21no—
435C4⋊C8C23×C10711yescharacteristic
436C4⋊C8C23×C10711yescharacteristic
437C4⋊C8C23×C10711yescharacteristic
438C4⋊C8C23×C10711yescharacteristic
439#103—21no—
440#103—41no—
441#103D4×C10711yescharacteristic
442#102—21no—
443#102—21no—
444#102—21no—
445#102—21no—
446#102—21no—
447#102—21no—
448#102—21no—
449#102—21no—
450#102—21no—
451#102—21no—
452#102—21no—
453#102—21no—
454#102—21no—
455#102D4×C10711yescharacteristic
456#102D4×C10711yescharacteristic
457#102D4×C10711yescharacteristic
458C22⋊C8—21no—
459C22⋊C8—21no—
460C22⋊C8—21no—
461#97—21no—
462C4×C8C23×C10711yescharacteristic
463C4×C8C23×C10711yescharacteristic
464C4×C8C23×C10711yescharacteristic
465C24—41no—
466#41—42no—
467#41—42no—
468#41—81no—
469#41—81no—
470C2×Q8—21no—
471C2×Q8—21no—
472C2×Q8C2×D4×C10711yescharacteristic
473C2×D4—21no—
474C2×D4—21no—
475C2×D4—21no—
476C2×D4—21no—
477C2×D4—21no—
478C2×D4—21no—
479C2×D4—41no—
480C2×D4—41no—
481C2×D4—41no—
482C2×D4—41no—
483C2×D4—42no—
484C2×D4—42no—
485C2×D4—41no—
486C2×D4—81no—
487C2×D4—81no—
488C2×D4C2×D4×C10711yescharacteristic
489C2×D4C2×D4×C10711yescharacteristic
490C2×D4C2×D4×C10711yescharacteristic
491C22×C4—21no—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—41no—
495C22×C4—41no—
496C22×C4—41no—
497Q16—42no—
498SD16—22no—
499SD16—42no—
500SD16—81no—
501SD16—81no—
502D8—22no—
503D8—42no—
504D8—42no—
505D8—81no—
506D8—82no—
507C2×C8—21no—
508C2×C8—21no—
509C2×C8—21no—
510C2×C8—21no—
511C2×C8—21no—
512C2×C8—42no—
513C2×C8—81no—
514C2×C8—81no—
515C2×C8C2×D4×C10711yescharacteristic
516C2×C8C2×D4×C10711yescharacteristic
517C2×C8C2×D4×C10711yescharacteristic
518C2×C8C2×D4×C10711yescharacteristic
519C4⋊C4—21no—
520C4⋊C4—21no—
521C4⋊C4—21no—
522C4⋊C4—21no—
523C4⋊C4—21no—
524C4⋊C4—41no—
525C4⋊C4—41no—
526C4⋊C4—41no—
527C4⋊C4C2×D4×C10711yescharacteristic
528C4⋊C4C2×D4×C10711yescharacteristic
529C4⋊C4C2×D4×C10711yescharacteristic
530C4⋊C4C2×D4×C10711yescharacteristic
531C22⋊C4—21no—
532C22⋊C4—21no—
533C22⋊C4—21no—
534C22⋊C4—41no—
535C22⋊C4—41no—
536C22⋊C4—41no—
537C22⋊C4—41no—
538C42—21no—
539C42C24×C10711yescharacteristic
540C23—21no—
541C23—21no—
542C23—21no—
543C23—41no—
544C23—41no—
545C23—82no—
546C23—82no—
547C23—161no—
548Q8—21no—
549Q8—21no—
550Q8—41no—
551Q8—41no—
552Q8—81no—
553D4—21no—
554D4—21no—
555D4—21no—
556D4—21no—
557D4—41no—
558D4—41no—
559D4—41no—
560D4—41no—
561D4—41no—
562D4—41no—
563D4—41no—
564D4—41no—
565D4—81no—
566D4—81no—
567D4—82no—
568D4—82no—
569D4—82no—
570D4—82no—
571D4—161no—
572D4#135×C10712yescomplemented
573D4AGL(1,ℤ/8)×C10712yes—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—41no—
580C2×C4—41no—
581C2×C4—41no—
582C2×C4—41no—
583C2×C4—41no—
584C2×C4—41no—
585C2×C4—41no—
586C2×C4—41no—
587C2×C4—82no—
588C2×C4—82no—
589C2×C4—161no—
590C2×C4C22×D4×C10711yescharacteristic
591C2×C4C22×D4×C10711yescharacteristic
592C2×C4H(5,𝔽2)×C10711yescharacteristic
593C8—21no—
594C8—21no—
595C8—21no—
596C8—21no—
597C8—41no—
598C8—41no—
599C8—41no—
600C8—41no—
601C8—41no—
602C22—22no—
603C22—22no—
604C22—41no—
605C22—41no—
606C22—41no—
607C22—41no—
608C22—41no—
609C22—41no—
610C22—41no—
611C22—81no—
612C22—81no—
613C22—81no—
614C22—81no—
615C22—81no—
616C22—81no—
617C22—164no—
618C22D42×C10711yescharacteristic
619C4—21no—
620C4—41no—
621C4—41no—
622C4—41no—
623C4—41no—
624C4—41no—
625C4—81no—
626C4—81no—
627C4C2×#135×C10711yescharacteristic
628C4C2×AGL(1,ℤ/8)×C10711yescharacteristic
629C4#576×C10711yescharacteristic
630C4#577×C10711yescharacteristic
631C2—42no—
632C2—42no—
633C2—81no—
634C2—161no—
635C2—161no—
636C2C107×#326411yescharacteristic
637C2C107×#328211yescharacteristic
638C2C107×#328811yescharacteristic
subgroupG/H
center, socleC22×C107D42
commutator, Frattini, cosocleC42C24×C107
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×#3366C2semidirect
2. C107×#3295C2semidirect
3. C107×#3294C2semidirect
4. C107×#3284C2semidirect
5. C107×#1717C2semidirect
6. C107×#1702C2semidirect
7. C107×#1677C2semidirect
8. C107×#1677C2semidirect
9. C107×#1665C2semidirect
10. C107×#1644C2semidirect
11. C107×#1635C2semidirect
12. C107×#1621C2semidirect
13. C107×#1619C2semidirect
14. C107×#1582C2semidirect
15. C107×#1580C2semidirect
18. #550×C107C22semidirect
22. #492×C107C22semidirect
24. #487×C107C22semidirect
27. #486×C107C22semidirect
32. #476×C107C22semidirect
37. #462×C107C22semidirect
47. #446×C107C22semidirect
53. C8×D4×C107C22semidirect
56. #334×C107C22semidirect
57. #334×C107C22semidirect
58. #333×C107C22semidirect
59. #332×C107C22semidirect
61. #331×C107C22semidirect
62. Q8⋊C8×C107C22semidirect
65. D4⋊C8×C107C22semidirect
66. #322×C107C22semidirect
252. D4×C107#135semidirect
311. #19788C107direct (N × H)
320. #3366C2×C107semidirect
321. #3295C2×C107semidirect
322. #3294C2×C107semidirect
323. #3284C2×C107semidirect
324. #1717C2×C107semidirect
325. #1702C2×C107semidirect
326. #1677C2×C107semidirect
327. #1677C2×C107semidirect
328. #1665C2×C107semidirect
329. #1644C2×C107semidirect
330. #1635C2×C107semidirect
331. #1621C2×C107semidirect
332. #1619C2×C107semidirect
333. #1582C2×C107semidirect
334. #1580C2×C107semidirect
335. C107#19788direct (N × H)
338. #550C22×C107semidirect
342. #492C22×C107semidirect
344. #487C22×C107semidirect
347. #486C22×C107semidirect
352. #476C22×C107semidirect
357. #462C22×C107semidirect
367. #446C22×C107semidirect
373. C8×D4C22×C107semidirect
376. #334C22×C107semidirect
377. #334C22×C107semidirect
378. #333C22×C107semidirect
379. #332C22×C107semidirect
381. #331C22×C107semidirect
382. Q8⋊C8C22×C107semidirect
385. D4⋊C8C22×C107semidirect
386. #322C22×C107semidirect
572. D4#135×C107semidirect

Maximal subgroups

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

subgroupindex
C107×#33662
C107×#32952
C107×#32942
C107×#32842
C107×#17172
C107×#17022
C107×#16772
C107×#16652
C107×#16442
C107×#16352
C107×#16212
C107×#16192
C107×#15822
C107×#15802
#19788107