Finite Group Databasebeta

← C107×#19970 #41045934

Subgroups — C107×#19970 #41045934

Order 27392.

752 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×#3358C211yesmaximal, characteristic, complemented
2C107×#3294C211yesmaximal, characteristic, complemented
3C107×#3284C211yesmaximal, characteristic, complemented
4D4×SD16×C107C211yesmaximal, characteristic, complemented
5C107×#1706C211yesmaximal, characteristic, complemented
6C107×#1682C211yesmaximal, characteristic, complemented
7C107×#1681C211yesmaximal, characteristic, complemented
8C107×#1665C211yesmaximal, characteristic, complemented
9C107×#1665C211yesmaximal, characteristic, complemented
10C107×#1649C211yesmaximal, characteristic, complemented
11C107×#1647C211yesmaximal, characteristic, complemented
12C107×#1621C211yesmaximal, characteristic, complemented
13C107×#1619C211yesmaximal, characteristic, complemented
14C8×SD16×C107C211yesmaximal, characteristic, complemented
15C8×D8×C107C211yesmaximal, characteristic, complemented
16C2×#135×C107—21no—
17C22×SD16×C107—21no—
18#550×C107C2211yescharacteristic, complemented
19D4×Q8×C107C2211yescharacteristic
20#547×C107C2211yescharacteristic
21D42×C107C2211yescharacteristic
22#500×C107C2211yescharacteristic, complemented
23#493×C107C2211yescharacteristic
24#492×C107C2211yescharacteristic
25#492×C107C2211yescharacteristic, complemented
26#486×C107—21no—
27#486×C107C2211yescharacteristic
28#486×C107C2211yescharacteristic, complemented
29#480×C107—21no—
30#474×C107—21no—
31#474×C107C2211yescharacteristic
32#474×C107C2211yescharacteristic, complemented
33#466×C107—21no—
34#465×C107—21no—
35#465×C107—21no—
36#462×C107C2211yescharacteristic, complemented
37#461×C107C2211yescharacteristic
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#448×C107—21no—
47#447×C107—21no—
48C8×Q8×C107C2211yescharacteristic, complemented
49C4×SD16×C107C2211yescharacteristic
50C4×D8×C107—21no—
51C4×D8×C107C2211yescharacteristic
52C8×D4×C107C2211yescharacteristic
53C8×D4×C107C2211yescharacteristic
54C8×D4×C107C2211yescharacteristic, complemented
55C2×#102×C107—21no—
56#335×C107C2211yescharacteristic, complemented
57#334×C107C2211yescharacteristic, complemented
58#332×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
66C82×C107C2211yescharacteristic, complemented
67C2×#41×C107—21no—
68C2×#41×C107—21no—
69C22×Q8×C107—21no—
70C22×D4×C107—21no—
71C22×D4×C107—21no—
72#135×C107—44no—
73C2×Q16×C107—21no—
74C2×SD16×C107—21no—
75C2×SD16×C107—21no—
76C2×SD16×C107—21no—
77C2×SD16×C107—21no—
78C2×SD16×C107—21no—
79C2×SD16×C107—21no—
80C2×SD16×C107—44no—
81C2×SD16×C107D411yescharacteristic
82C2×D8×C107—21no—
83C2×D8×C107—21no—
84C2×D8×C107—21no—
85C2×D8×C107—41no—
86C2×D8×C107D411yescharacteristic
87C22×C8×C107—21no—
88C22×C8×C107—21no—
89C22×C8×C107—21no—
90C4⋊Q8×C107—21no—
91C4⋊Q8×C107C2311yescharacteristic
92C4⋊Q8×C107C2311yescharacteristic
93#127×C107—21no—
94#127×C107C2311yescharacteristic
95#127×C107C2311yescharacteristic
96#123×C107—41no—
97C22⋊Q8×C107—21no—
98C22⋊Q8×C107—21no—
99C22⋊Q8×C107—41no—
100#121×C107—21no—
101#121×C107—21no—
102#121×C107—21no—
103#121×C107—21no—
104#121×C107—41no—
105#120×C107—41no—
106C4×Q8×C107C2311yescharacteristic
107C4×D4×C107—21no—
108C4×D4×C107—21no—
109C4×D4×C107C2311yescharacteristic
110C4×D4×C107C2311yescharacteristic
111C4×D4×C107C2311yescharacteristic
112C2×C4⋊C4×C107—21no—
113#107×C107—21no—
114#107×C107—21no—
115#107×C107—41no—
116#107×C107D411yescharacteristic
117#106×C107D411yescharacteristic
118C4⋊C8×C107—21no—
119C4⋊C8×C107C2311yescharacteristic
120C4⋊C8×C107C2311yescharacteristic
121C4⋊C8×C107C2311yescharacteristic
122C4⋊C8×C107C2311yescharacteristic
123#103×C107—21no—
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—21no—
136#102×C107D411yescharacteristic
137#102×C107D411yescharacteristic
138#102×C107D411yescharacteristic
139C22⋊C8×C107—21no—
140C22⋊C8×C107—21no—
141C22⋊C8×C107—21no—
142C4×C8×C107—21no—
143C4×C8×C107C2311yescharacteristic
144C4×C8×C107C2311yescharacteristic
145C4×C8×C107C2311yescharacteristic
146C24×C107—41no—
147#41×C107—42no—
148#41×C107—42no—
149#41×C107—81no—
150#41×C107—81no—
151C2×Q8×C107—21no—
152C2×Q8×C107—21no—
153C2×Q8×C107—41no—
154C2×Q8×C107—42no—
155C2×Q8×C107—81no—
156C2×Q8×C107C2×D411yescharacteristic
157C2×D4×C107—21no—
158C2×D4×C107—21no—
159C2×D4×C107—21no—
160C2×D4×C107—21no—
161C2×D4×C107—21no—
162C2×D4×C107—21no—
163C2×D4×C107—41no—
164C2×D4×C107—41no—
165C2×D4×C107—41no—
166C2×D4×C107—41no—
167C2×D4×C107—42no—
168C2×D4×C107—42no—
169C2×D4×C107—41no—
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—
180C22×C4×C107—41no—
181Q16×C107—42no—
182SD16×C107—42no—
183SD16×C107—42no—
184SD16×C107—42no—
185SD16×C107—42no—
186SD16×C107—81no—
187SD16×C107—81no—
188SD16×C107D814yescomplemented
189D8×C107—22no—
190D8×C107—42no—
191D8×C107—42no—
192D8×C107—82no—
193D8×C107—81no—
194C2×C8×C107—21no—
195C2×C8×C107—21no—
196C2×C8×C107—21no—
197C2×C8×C107—21no—
198C2×C8×C107—21no—
199C2×C8×C107—42no—
200C2×C8×C107—42no—
201C2×C8×C107—81no—
202C2×C8×C107C2×D411yescharacteristic
203C2×C8×C107C2×D411yescharacteristic
204C2×C8×C107C2×D411yescharacteristic
205C2×C8×C107C2×D411yescharacteristic
206C4⋊C4×C107—21no—
207C4⋊C4×C107—21no—
208C4⋊C4×C107—21no—
209C4⋊C4×C107—21no—
210C4⋊C4×C107—21no—
211C4⋊C4×C107—41no—
212C4⋊C4×C107—41no—
213C4⋊C4×C107C2×D411yescharacteristic
214C4⋊C4×C107C2×D411yescharacteristic
215C4⋊C4×C107C2×D411yescharacteristic
216C4⋊C4×C107C2×D411yescharacteristic
217C22⋊C4×C107—21no—
218C22⋊C4×C107—21no—
219C22⋊C4×C107—21no—
220C22⋊C4×C107—41no—
221C22⋊C4×C107—41no—
222C22⋊C4×C107—41no—
223C22⋊C4×C107—41no—
224C42×C107—21no—
225C42×C107C2411yescharacteristic
226C23×C107—21no—
227C23×C107—21no—
228C23×C107—21no—
229C23×C107—41no—
230C23×C107—41no—
231C23×C107—82no—
232C23×C107—82no—
233C23×C107—161no—
234Q8×C107—21no—
235Q8×C107—41no—
236Q8×C107—41no—
237Q8×C107—41no—
238Q8×C107—41no—
239Q8×C107—82no—
240Q8×C107C2×D812yes—
241D4×C107—21no—
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—82no—
254D4×C107—81no—
255D4×C107—81no—
256D4×C107—82no—
257D4×C107—82no—
258D4×C107—82no—
259D4×C107—161no—
260D4×C107C2×D812yes—
261D4×C107#13512yescomplemented
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—82no—
277C2×C4×C107—82no—
278C2×C4×C107C22×D411yescharacteristic
279C2×C4×C107C22×D411yescharacteristic
280C2×C4×C107H(5,𝔽2)11yescharacteristic
281C8×C107—22no—
282C8×C107—21no—
283C8×C107—21no—
284C8×C107—21no—
285C8×C107—41no—
286C8×C107—41no—
287C8×C107—41no—
288C8×C107—41no—
289C8×C107C2×D812yes—
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—41no—
299C22×C107—81no—
300C22×C107—81no—
301C22×C107—81no—
302C22×C107—81no—
303C22×C107—81no—
304C22×C107—81no—
305C22×C107—164no—
306C22×C107D4211yescharacteristic
307C4×C107—22no—
308C4×C107—21no—
309C4×C107—41no—
310C4×C107—41no—
311C4×C107—41no—
312C4×C107—41no—
313C4×C107—81no—
314C4×C107—81no—
315C4×C107C22×D811yescharacteristic
316C4×C107C2×#13511yescharacteristic
317C4×C107#57611yescharacteristic
318C4×C107#57711yescharacteristic
319#19970C10711yesmaximal, characteristic, direct product factor, Sylow
320C2×C107—42no—
321C2×C107—42no—
322C2×C107—81no—
323C2×C107—161no—
324C2×C107—161no—
325C2×C107D4×D811yescharacteristic
326C2×C107#328211yescharacteristic
327C2×C107#329111yescharacteristic
328#3358C2×C10711yescharacteristic, complemented
329#3294C2×C10711yescharacteristic, complemented
330#3284C2×C10711yescharacteristic, complemented
331D4×SD16C2×C10711yescharacteristic, complemented
332#1706C2×C10711yescharacteristic, complemented
333#1682C2×C10711yescharacteristic, complemented
334#1681C2×C10711yescharacteristic, complemented
335#1665C2×C10711yescharacteristic, complemented
336#1665C2×C10711yescharacteristic, complemented
337#1649C2×C10711yescharacteristic, complemented
338#1647C2×C10711yescharacteristic, complemented
339#1621C2×C10711yescharacteristic, complemented
340#1619C2×C10711yescharacteristic, complemented
341C8×SD16C2×C10711yescharacteristic, complemented
342C8×D8C2×C10711yescharacteristic, complemented
343C107#1997011yescharacteristic, direct product factor, Sylow
344C2×#135—21no—
345C22×SD16—21no—
346#550C22×C10711yescharacteristic, complemented
347D4×Q8C22×C10711yescharacteristic
348#547C22×C10711yescharacteristic
349D42C22×C10711yescharacteristic
350#500C22×C10711yescharacteristic, complemented
351#493C22×C10711yescharacteristic
352#492C22×C10711yescharacteristic
353#492C22×C10711yescharacteristic, complemented
354#486—21no—
355#486C22×C10711yescharacteristic
356#486C22×C10711yescharacteristic, complemented
357#480—21no—
358#474—21no—
359#474C22×C10711yescharacteristic
360#474C22×C10711yescharacteristic, complemented
361#466—21no—
362#465—21no—
363#465—21no—
364#462C22×C10711yescharacteristic, complemented
365#461C22×C10711yescharacteristic
366#460C22×C10711yescharacteristic
367#459—21no—
368#459C22×C10711yescharacteristic
369#459C22×C10711yescharacteristic
370#459C22×C10711yescharacteristic
371#452—21no—
372#450—21no—
373#449—21no—
374#448—21no—
375#447—21no—
376C8×Q8C22×C10711yescharacteristic, complemented
377C4×SD16C22×C10711yescharacteristic
378C4×D8—21no—
379C4×D8C22×C10711yescharacteristic
380C8×D4C22×C10711yescharacteristic
381C8×D4C22×C10711yescharacteristic
382C8×D4C22×C10711yescharacteristic, complemented
383C2×#102—21no—
384#335C22×C10711yescharacteristic, complemented
385#334C22×C10711yescharacteristic, complemented
386#332C22×C10711yescharacteristic, complemented
387#332C22×C10711yescharacteristic, complemented
388#331C22×C10711yescharacteristic
389#331C22×C10711yescharacteristic, complemented
390Q8⋊C8C22×C10711yescharacteristic, complemented
391D4⋊C8C22×C10711yescharacteristic
392D4⋊C8C22×C10711yescharacteristic
393D4⋊C8C22×C10711yescharacteristic, complemented
394C82C22×C10711yescharacteristic, complemented
395C2×#41—21no—
396C2×#41—21no—
397C22×Q8—21no—
398C22×D4—21no—
399C22×D4—21no—
400#135—44no—
401C2×Q16—21no—
402C2×SD16—21no—
403C2×SD16—21no—
404C2×SD16—21no—
405C2×SD16—21no—
406C2×SD16—21no—
407C2×SD16—21no—
408C2×SD16—44no—
409C2×SD16D4×C10711yescharacteristic
410C2×D8—21no—
411C2×D8—21no—
412C2×D8—21no—
413C2×D8—41no—
414C2×D8D4×C10711yescharacteristic
415C22×C8—21no—
416C22×C8—21no—
417C22×C8—21no—
418C4⋊Q8—21no—
419C4⋊Q8C23×C10711yescharacteristic
420C4⋊Q8C23×C10711yescharacteristic
421#127—21no—
422#127C23×C10711yescharacteristic
423#127C23×C10711yescharacteristic
424#123—41no—
425C22⋊Q8—21no—
426C22⋊Q8—21no—
427C22⋊Q8—41no—
428#121—21no—
429#121—21no—
430#121—21no—
431#121—21no—
432#121—41no—
433#120—41no—
434C4×Q8C23×C10711yescharacteristic
435C4×D4—21no—
436C4×D4—21no—
437C4×D4C23×C10711yescharacteristic
438C4×D4C23×C10711yescharacteristic
439C4×D4C23×C10711yescharacteristic
440C2×C4⋊C4—21no—
441#107—21no—
442#107—21no—
443#107—41no—
444#107D4×C10711yescharacteristic
445#106D4×C10711yescharacteristic
446C4⋊C8—21no—
447C4⋊C8C23×C10711yescharacteristic
448C4⋊C8C23×C10711yescharacteristic
449C4⋊C8C23×C10711yescharacteristic
450C4⋊C8C23×C10711yescharacteristic
451#103—21no—
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—21no—
464#102D4×C10711yescharacteristic
465#102D4×C10711yescharacteristic
466#102D4×C10711yescharacteristic
467C22⋊C8—21no—
468C22⋊C8—21no—
469C22⋊C8—21no—
470C4×C8—21no—
471C4×C8C23×C10711yescharacteristic
472C4×C8C23×C10711yescharacteristic
473C4×C8C23×C10711yescharacteristic
474C24—41no—
475#41—42no—
476#41—42no—
477#41—81no—
478#41—81no—
479C2×Q8—21no—
480C2×Q8—21no—
481C2×Q8—41no—
482C2×Q8—42no—
483C2×Q8—81no—
484C2×Q8C2×D4×C10711yescharacteristic
485C2×D4—21no—
486C2×D4—21no—
487C2×D4—21no—
488C2×D4—21no—
489C2×D4—21no—
490C2×D4—21no—
491C2×D4—41no—
492C2×D4—41no—
493C2×D4—41no—
494C2×D4—41no—
495C2×D4—42no—
496C2×D4—42no—
497C2×D4—41no—
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—
508C22×C4—41no—
509Q16—42no—
510SD16—42no—
511SD16—42no—
512SD16—42no—
513SD16—42no—
514SD16—81no—
515SD16—81no—
516SD16D8×C10714yescomplemented
517D8—22no—
518D8—42no—
519D8—42no—
520D8—82no—
521D8—81no—
522C2×C8—21no—
523C2×C8—21no—
524C2×C8—21no—
525C2×C8—21no—
526C2×C8—21no—
527C2×C8—42no—
528C2×C8—42no—
529C2×C8—81no—
530C2×C8C2×D4×C10711yescharacteristic
531C2×C8C2×D4×C10711yescharacteristic
532C2×C8C2×D4×C10711yescharacteristic
533C2×C8C2×D4×C10711yescharacteristic
534C4⋊C4—21no—
535C4⋊C4—21no—
536C4⋊C4—21no—
537C4⋊C4—21no—
538C4⋊C4—21no—
539C4⋊C4—41no—
540C4⋊C4—41no—
541C4⋊C4C2×D4×C10711yescharacteristic
542C4⋊C4C2×D4×C10711yescharacteristic
543C4⋊C4C2×D4×C10711yescharacteristic
544C4⋊C4C2×D4×C10711yescharacteristic
545C22⋊C4—21no—
546C22⋊C4—21no—
547C22⋊C4—21no—
548C22⋊C4—41no—
549C22⋊C4—41no—
550C22⋊C4—41no—
551C22⋊C4—41no—
552C42—21no—
553C42C24×C10711yescharacteristic
554C23—21no—
555C23—21no—
556C23—21no—
557C23—41no—
558C23—41no—
559C23—82no—
560C23—82no—
561C23—161no—
562Q8—21no—
563Q8—41no—
564Q8—41no—
565Q8—41no—
566Q8—41no—
567Q8—82no—
568Q8C2×D8×C10712yes—
569D4—21no—
570D4—21no—
571D4—21no—
572D4—21no—
573D4—41no—
574D4—41no—
575D4—41no—
576D4—41no—
577D4—41no—
578D4—41no—
579D4—41no—
580D4—41no—
581D4—82no—
582D4—81no—
583D4—81no—
584D4—82no—
585D4—82no—
586D4—82no—
587D4—161no—
588D4C2×D8×C10712yes—
589D4#135×C10712yescomplemented
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—82no—
605C2×C4—82no—
606C2×C4C22×D4×C10711yescharacteristic
607C2×C4C22×D4×C10711yescharacteristic
608C2×C4H(5,𝔽2)×C10711yescharacteristic
609C8—22no—
610C8—21no—
611C8—21no—
612C8—21no—
613C8—41no—
614C8—41no—
615C8—41no—
616C8—41no—
617C8C2×D8×C10712yes—
618C22—22no—
619C22—22no—
620C22—41no—
621C22—41no—
622C22—41no—
623C22—41no—
624C22—41no—
625C22—41no—
626C22—41no—
627C22—81no—
628C22—81no—
629C22—81no—
630C22—81no—
631C22—81no—
632C22—81no—
633C22—164no—
634C22D42×C10711yescharacteristic
635C4—22no—
636C4—21no—
637C4—41no—
638C4—41no—
639C4—41no—
640C4—41no—
641C4—81no—
642C4—81no—
643C4C22×D8×C10711yescharacteristic
644C4C2×#135×C10711yescharacteristic
645C4#576×C10711yescharacteristic
646C4#577×C10711yescharacteristic
647C2—42no—
648C2—42no—
649C2—81no—
650C2—161no—
651C2—161no—
652C2D4×D8×C10711yescharacteristic
653C2C107×#328211yescharacteristic
654C2C107×#329111yescharacteristic
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×#3358C2semidirect
2. C107×#3294C2semidirect
3. C107×#3284C2semidirect
4. D4×SD16×C107C2semidirect
5. C107×#1706C2semidirect
6. C107×#1682C2semidirect
7. C107×#1681C2semidirect
8. C107×#1665C2semidirect
9. C107×#1665C2semidirect
10. C107×#1649C2semidirect
11. C107×#1647C2semidirect
12. C107×#1621C2semidirect
13. C107×#1619C2semidirect
14. C8×SD16×C107C2semidirect
15. C8×D8×C107C2semidirect
18. #550×C107C22semidirect
22. #500×C107C22semidirect
25. #492×C107C22semidirect
28. #486×C107C22semidirect
32. #474×C107C22semidirect
36. #462×C107C22semidirect
48. C8×Q8×C107C22semidirect
54. C8×D4×C107C22semidirect
56. #335×C107C22semidirect
57. #334×C107C22semidirect
58. #332×C107C22semidirect
59. #332×C107C22semidirect
61. #331×C107C22semidirect
62. Q8⋊C8×C107C22semidirect
65. D4⋊C8×C107C22semidirect
66. C82×C107C22semidirect
188. SD16×C107D8semidirect
261. D4×C107#135semidirect
319. #19970C107direct (N × H)
328. #3358C2×C107semidirect
329. #3294C2×C107semidirect
330. #3284C2×C107semidirect
331. D4×SD16C2×C107semidirect
332. #1706C2×C107semidirect
333. #1682C2×C107semidirect
334. #1681C2×C107semidirect
335. #1665C2×C107semidirect
336. #1665C2×C107semidirect
337. #1649C2×C107semidirect
338. #1647C2×C107semidirect
339. #1621C2×C107semidirect
340. #1619C2×C107semidirect
341. C8×SD16C2×C107semidirect
342. C8×D8C2×C107semidirect
343. C107#19970direct (N × H)
346. #550C22×C107semidirect
350. #500C22×C107semidirect
353. #492C22×C107semidirect
356. #486C22×C107semidirect
360. #474C22×C107semidirect
364. #462C22×C107semidirect
376. C8×Q8C22×C107semidirect
382. C8×D4C22×C107semidirect
384. #335C22×C107semidirect
385. #334C22×C107semidirect
386. #332C22×C107semidirect
387. #332C22×C107semidirect
389. #331C22×C107semidirect
390. Q8⋊C8C22×C107semidirect
393. D4⋊C8C22×C107semidirect
394. C82C22×C107semidirect
516. SD16D8×C107semidirect
589. D4#135×C107semidirect

Maximal subgroups

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

subgroupindex
C107×#33582
C107×#32942
C107×#32842
D4×SD16×C1072
C107×#17062
C107×#16822
C107×#16812
C107×#16652
C107×#16492
C107×#16472
C107×#16212
C107×#16192
C8×SD16×C1072
C8×D8×C1072
#19970107