Finite Group Databasebeta

← C107×#19773 #41045737

Subgroups — C107×#19773 #41045737

Order 27392.

712 conjugacy classes of subgroups.

The subgroup lattice has 642 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C107×#3360C211yesmaximal, characteristic, complemented
2C107×#3324C211yesmaximal, characteristic, complemented
3C107×#3295C211yesmaximal, characteristic, complemented
4D4×D8×C107C211yesmaximal, characteristic
5C107×#1717C211yesmaximal, characteristic, complemented
6C107×#1697C211yesmaximal, characteristic, complemented
7C107×#1683C211yesmaximal, characteristic, complemented
8C107×#1681C211yesmaximal, characteristic, complemented
9C107×#1668C211yesmaximal, characteristic, complemented
10C107×#1639C211yesmaximal, characteristic, complemented
11C107×#1629C211yesmaximal, characteristic, complemented
12C107×#1628C211yesmaximal, characteristic, complemented
13C107×#1622C211yesmaximal, characteristic, complemented
14C107×#1581C211yesmaximal, characteristic, complemented
15C107×SD16⋊C8C211yesmaximal, characteristic, complemented
16C22×D8×C107—21no—
17#556×C107C2211yescharacteristic, complemented
18#554×C107C2211yescharacteristic, complemented
19D42×C107C2211yescharacteristic
20D42×C107C2211yescharacteristic
21#493×C107C2211yescharacteristic
22#492×C107C2211yescharacteristic, complemented
23#488×C107—21no—
24#487×C107C2211yescharacteristic, complemented
25#486×C107C2211yescharacteristic, complemented
26#486×C107C2211yescharacteristic, complemented
27#486×C107C2211yescharacteristic, complemented
28#482×C107—21no—
29#481×C107—21no—
30#479×C107—21no—
31#476×C107C2211yescharacteristic
32#476×C107C2211yescharacteristic, complemented
33#474×C107C2211yescharacteristic
34#468×C107—21no—
35#466×C107—21no—
36#465×C107—21no—
37#463×C107—21no—
38#461×C107C2211yescharacteristic, complemented
39#460×C107C2211yescharacteristic, complemented
40#460×C107C2211yescharacteristic, complemented
41#459×C107C2211yescharacteristic
42#459×C107C2211yescharacteristic
43#450×C107—21no—
44#450×C107—21no—
45#447×C107—21no—
46#447×C107—21no—
47C8×Q8×C107C2211yescharacteristic, complemented
48C4×SD16×C107—21no—
49C4×SD16×C107C2211yescharacteristic
50C4×D8×C107C2211yescharacteristic
51#436×C107C2211yescharacteristic, complemented
52C8×D4×C107C2211yescharacteristic
53C8×D4×C107C2211yescharacteristic, complemented
54#418×C107—21no—
55C2×#102×C107—21no—
56#335×C107C2211yescharacteristic, complemented
57#335×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×D4×C107—21no—
68C22×D4×C107—21no—
69C22×D4×C107—21no—
70C22×D4×C107—21no—
71C2×SD16×C107—21no—
72C2×SD16×C107—21no—
73C2×SD16×C107—21no—
74C2×SD16×C107—41no—
75C2×SD16×C107D411yescharacteristic
76C2×D8×C107—21no—
77C2×D8×C107—21no—
78C2×D8×C107—21no—
79C2×D8×C107—21no—
80C2×D8×C107—44no—
81C2×D8×C107D411yescharacteristic
82C2×M16×C107—21no—
83C22×C8×C107—21no—
84C22×C8×C107—21no—
85C4⋊Q8×C107C2311yescharacteristic
86C4⋊Q8×C107C2311yescharacteristic
87#127×C107C2311yescharacteristic
88#127×C107C2311yescharacteristic
89#126×C107—41no—
90#125×C107—21no—
91#124×C107—21no—
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#120×C107—41no—
100#120×C107—41no—
101C4×Q8×C107—21no—
102C4×Q8×C107C2311yescharacteristic
103C4×D4×C107—21no—
104C4×D4×C107C2311yescharacteristic
105C4×D4×C107C2311yescharacteristic
106C4×D4×C107C2311yescharacteristic
107#117×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—21no—
121#103×C107—21no—
122#103×C107D411yescharacteristic
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—41no—
135#102×C107D411yescharacteristic
136#102×C107D411yescharacteristic
137#102×C107D411yescharacteristic
138C22⋊C8×C107—21no—
139C22⋊C8×C107—21no—
140C22⋊C8×C107—21no—
141C4×C8×C107—21no—
142C4×C8×C107C2311yescharacteristic
143C4×C8×C107C2311yescharacteristic
144C4×C8×C107C2311yescharacteristic
145C24×C107—41no—
146C24×C107—41no—
147C2×Q8×C107—21no—
148C2×Q8×C107—21no—
149C2×Q8×C107C2×D411yescharacteristic
150C2×D4×C107—21no—
151C2×D4×C107—21no—
152C2×D4×C107—21no—
153C2×D4×C107—21no—
154C2×D4×C107—21no—
155C2×D4×C107—21no—
156C2×D4×C107—41no—
157C2×D4×C107—41no—
158C2×D4×C107—41no—
159C2×D4×C107—41no—
160C2×D4×C107—42no—
161C2×D4×C107—42no—
162C2×D4×C107—42no—
163C2×D4×C107—42no—
164C2×D4×C107—81no—
165C2×D4×C107—81no—
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—
175SD16×C107—22no—
176SD16×C107—42no—
177SD16×C107—81no—
178SD16×C107—81no—
179SD16×C107—82no—
180D8×C107—22no—
181D8×C107—42no—
182D8×C107—42no—
183D8×C107—42no—
184D8×C107—81no—
185M16×C107—81no—
186C2×C8×C107—21no—
187C2×C8×C107—21no—
188C2×C8×C107—21no—
189C2×C8×C107—21no—
190C2×C8×C107—21no—
191C2×C8×C107—42no—
192C2×C8×C107—81no—
193C2×C8×C107C2×D411yescharacteristic
194C2×C8×C107C2×D411yescharacteristic
195C2×C8×C107C2×D411yescharacteristic
196C2×C8×C107C2×D411yescharacteristic
197C4⋊C4×C107—21no—
198C4⋊C4×C107—21no—
199C4⋊C4×C107—21no—
200C4⋊C4×C107—21no—
201C4⋊C4×C107—21no—
202C4⋊C4×C107—41no—
203C4⋊C4×C107—41no—
204C4⋊C4×C107—41no—
205C4⋊C4×C107C2×D411yescharacteristic
206C4⋊C4×C107C2×D411yescharacteristic
207C4⋊C4×C107C2×D411yescharacteristic
208C4⋊C4×C107C2×D411yescharacteristic
209C22⋊C4×C107—21no—
210C22⋊C4×C107—21no—
211C22⋊C4×C107—21no—
212C22⋊C4×C107—41no—
213C22⋊C4×C107—41no—
214C22⋊C4×C107—41no—
215C22⋊C4×C107—41no—
216C22⋊C4×C107—41no—
217C42×C107—21no—
218C42×C107—41no—
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—82no—
228C23×C107—82no—
229C23×C107—161no—
230C23×C107—161no—
231Q8×C107—21no—
232Q8×C107—21no—
233Q8×C107—41no—
234Q8×C107—41no—
235Q8×C107—81no—
236D4×C107—21no—
237D4×C107—21no—
238D4×C107—21no—
239D4×C107—21no—
240D4×C107—41no—
241D4×C107—41no—
242D4×C107—41no—
243D4×C107—41no—
244D4×C107—41no—
245D4×C107—41no—
246D4×C107—41no—
247D4×C107—41no—
248D4×C107—81no—
249D4×C107—81no—
250D4×C107—82no—
251D4×C107—82no—
252D4×C107—82no—
253D4×C107—82no—
254D4×C107#13512yes—
255D4×C107AGL(1,ℤ/8)12yes—
256C2×C4×C107—21no—
257C2×C4×C107—21no—
258C2×C4×C107—21no—
259C2×C4×C107—21no—
260C2×C4×C107—21no—
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—41no—
268C2×C4×C107—41no—
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×C107—164no—
299C22×C107D4211yescharacteristic
300C4×C107—21no—
301C4×C107—41no—
302C4×C107—41no—
303C4×C107—41no—
304C4×C107—41no—
305C4×C107—41no—
306C4×C107—81no—
307C4×C107—81no—
308C4×C107C2×#13511yescharacteristic
309C4×C107C2×AGL(1,ℤ/8)11yescharacteristic
310C4×C107#57611yescharacteristic
311C4×C107#57711yescharacteristic
312#19773C10711yesmaximal, characteristic, direct product factor, Sylow
313C2×C107—42no—
314C2×C107—42no—
315C2×C107—81no—
316C2×C107—161no—
317C2×C107—161no—
318C2×C107#326511yescharacteristic
319C2×C107#328011yescharacteristic
320C2×C107#328811yescharacteristic
321#3360C2×C10711yescharacteristic, complemented
322#3324C2×C10711yescharacteristic, complemented
323#3295C2×C10711yescharacteristic, complemented
324D4×D8C2×C10711yescharacteristic
325#1717C2×C10711yescharacteristic, complemented
326#1697C2×C10711yescharacteristic, complemented
327#1683C2×C10711yescharacteristic, complemented
328#1681C2×C10711yescharacteristic, complemented
329#1668C2×C10711yescharacteristic, complemented
330#1639C2×C10711yescharacteristic, complemented
331#1629C2×C10711yescharacteristic, complemented
332#1628C2×C10711yescharacteristic, complemented
333#1622C2×C10711yescharacteristic, complemented
334#1581C2×C10711yescharacteristic, complemented
335SD16⋊C8C2×C10711yescharacteristic, complemented
336C107#1977311yescharacteristic, direct product factor, Sylow
337C22×D8—21no—
338#556C22×C10711yescharacteristic, complemented
339#554C22×C10711yescharacteristic, complemented
340D42C22×C10711yescharacteristic
341D42C22×C10711yescharacteristic
342#493C22×C10711yescharacteristic
343#492C22×C10711yescharacteristic, complemented
344#488—21no—
345#487C22×C10711yescharacteristic, complemented
346#486C22×C10711yescharacteristic, complemented
347#486C22×C10711yescharacteristic, complemented
348#486C22×C10711yescharacteristic, complemented
349#482—21no—
350#481—21no—
351#479—21no—
352#476C22×C10711yescharacteristic
353#476C22×C10711yescharacteristic, complemented
354#474C22×C10711yescharacteristic
355#468—21no—
356#466—21no—
357#465—21no—
358#463—21no—
359#461C22×C10711yescharacteristic, complemented
360#460C22×C10711yescharacteristic, complemented
361#460C22×C10711yescharacteristic, complemented
362#459C22×C10711yescharacteristic
363#459C22×C10711yescharacteristic
364#450—21no—
365#450—21no—
366#447—21no—
367#447—21no—
368C8×Q8C22×C10711yescharacteristic, complemented
369C4×SD16—21no—
370C4×SD16C22×C10711yescharacteristic
371C4×D8C22×C10711yescharacteristic
372#436C22×C10711yescharacteristic, complemented
373C8×D4C22×C10711yescharacteristic
374C8×D4C22×C10711yescharacteristic, complemented
375#418—21no—
376C2×#102—21no—
377#335C22×C10711yescharacteristic, complemented
378#335C22×C10711yescharacteristic, complemented
379#333C22×C10711yescharacteristic, complemented
380#332C22×C10711yescharacteristic, complemented
381#331C22×C10711yescharacteristic, complemented
382#331C22×C10711yescharacteristic, complemented
383Q8⋊C8C22×C10711yescharacteristic, complemented
384D4⋊C8C22×C10711yescharacteristic
385D4⋊C8C22×C10711yescharacteristic, complemented
386D4⋊C8C22×C10711yescharacteristic, complemented
387#322C22×C10711yescharacteristic, complemented
388C22×D4—21no—
389C22×D4—21no—
390C22×D4—21no—
391C22×D4—21no—
392C2×SD16—21no—
393C2×SD16—21no—
394C2×SD16—21no—
395C2×SD16—41no—
396C2×SD16D4×C10711yescharacteristic
397C2×D8—21no—
398C2×D8—21no—
399C2×D8—21no—
400C2×D8—21no—
401C2×D8—44no—
402C2×D8D4×C10711yescharacteristic
403C2×M16—21no—
404C22×C8—21no—
405C22×C8—21no—
406C4⋊Q8C23×C10711yescharacteristic
407C4⋊Q8C23×C10711yescharacteristic
408#127C23×C10711yescharacteristic
409#127C23×C10711yescharacteristic
410#126—41no—
411#125—21no—
412#124—21no—
413C22⋊Q8—21no—
414C22⋊Q8—21no—
415C22⋊Q8—41no—
416#121—21no—
417#121—21no—
418#121—21no—
419#121—21no—
420#120—41no—
421#120—41no—
422C4×Q8—21no—
423C4×Q8C23×C10711yescharacteristic
424C4×D4—21no—
425C4×D4C23×C10711yescharacteristic
426C4×D4C23×C10711yescharacteristic
427C4×D4C23×C10711yescharacteristic
428#117—21no—
429C2×C4⋊C4—21no—
430#107—21no—
431#107D4×C10711yescharacteristic
432#106—21no—
433#106—21no—
434#106D4×C10711yescharacteristic
435C4⋊C8—21no—
436C4⋊C8C23×C10711yescharacteristic
437C4⋊C8C23×C10711yescharacteristic
438C4⋊C8C23×C10711yescharacteristic
439C4⋊C8C23×C10711yescharacteristic
440#103—21no—
441#103—21no—
442#103—21no—
443#103D4×C10711yescharacteristic
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#102—41no—
456#102D4×C10711yescharacteristic
457#102D4×C10711yescharacteristic
458#102D4×C10711yescharacteristic
459C22⋊C8—21no—
460C22⋊C8—21no—
461C22⋊C8—21no—
462C4×C8—21no—
463C4×C8C23×C10711yescharacteristic
464C4×C8C23×C10711yescharacteristic
465C4×C8C23×C10711yescharacteristic
466C24—41no—
467C24—41no—
468C2×Q8—21no—
469C2×Q8—21no—
470C2×Q8C2×D4×C10711yescharacteristic
471C2×D4—21no—
472C2×D4—21no—
473C2×D4—21no—
474C2×D4—21no—
475C2×D4—21no—
476C2×D4—21no—
477C2×D4—41no—
478C2×D4—41no—
479C2×D4—41no—
480C2×D4—41no—
481C2×D4—42no—
482C2×D4—42no—
483C2×D4—42no—
484C2×D4—42no—
485C2×D4—81no—
486C2×D4—81no—
487C2×D4—81no—
488C2×D4—81no—
489C2×D4C2×D4×C10711yescharacteristic
490C2×D4C2×D4×C10711yescharacteristic
491C2×D4C2×D4×C10711yescharacteristic
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—21no—
495C22×C4—41no—
496SD16—22no—
497SD16—42no—
498SD16—81no—
499SD16—81no—
500SD16—82no—
501D8—22no—
502D8—42no—
503D8—42no—
504D8—42no—
505D8—81no—
506M16—81no—
507C2×C8—21no—
508C2×C8—21no—
509C2×C8—21no—
510C2×C8—21no—
511C2×C8—21no—
512C2×C8—42no—
513C2×C8—81no—
514C2×C8C2×D4×C10711yescharacteristic
515C2×C8C2×D4×C10711yescharacteristic
516C2×C8C2×D4×C10711yescharacteristic
517C2×C8C2×D4×C10711yescharacteristic
518C4⋊C4—21no—
519C4⋊C4—21no—
520C4⋊C4—21no—
521C4⋊C4—21no—
522C4⋊C4—21no—
523C4⋊C4—41no—
524C4⋊C4—41no—
525C4⋊C4—41no—
526C4⋊C4C2×D4×C10711yescharacteristic
527C4⋊C4C2×D4×C10711yescharacteristic
528C4⋊C4C2×D4×C10711yescharacteristic
529C4⋊C4C2×D4×C10711yescharacteristic
530C22⋊C4—21no—
531C22⋊C4—21no—
532C22⋊C4—21no—
533C22⋊C4—41no—
534C22⋊C4—41no—
535C22⋊C4—41no—
536C22⋊C4—41no—
537C22⋊C4—41no—
538C42—21no—
539C42—41no—
540C42C24×C10711yescharacteristic
541C23—21no—
542C23—21no—
543C23—21no—
544C23—41no—
545C23—41no—
546C23—82no—
547C23—82no—
548C23—82no—
549C23—82no—
550C23—161no—
551C23—161no—
552Q8—21no—
553Q8—21no—
554Q8—41no—
555Q8—41no—
556Q8—81no—
557D4—21no—
558D4—21no—
559D4—21no—
560D4—21no—
561D4—41no—
562D4—41no—
563D4—41no—
564D4—41no—
565D4—41no—
566D4—41no—
567D4—41no—
568D4—41no—
569D4—81no—
570D4—81no—
571D4—82no—
572D4—82no—
573D4—82no—
574D4—82no—
575D4#135×C10712yes—
576D4AGL(1,ℤ/8)×C10712yes—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—41no—
583C2×C4—41no—
584C2×C4—41no—
585C2×C4—41no—
586C2×C4—41no—
587C2×C4—41no—
588C2×C4—41no—
589C2×C4—41no—
590C2×C4—161no—
591C2×C4C22×D4×C10711yescharacteristic
592C2×C4C22×D4×C10711yescharacteristic
593C2×C4H(5,𝔽2)×C10711yescharacteristic
594C8—21no—
595C8—21no—
596C8—21no—
597C8—21no—
598C8—41no—
599C8—41no—
600C8—41no—
601C8—41no—
602C8—41no—
603C22—22no—
604C22—22no—
605C22—41no—
606C22—41no—
607C22—41no—
608C22—41no—
609C22—41no—
610C22—41no—
611C22—41no—
612C22—81no—
613C22—81no—
614C22—81no—
615C22—81no—
616C22—81no—
617C22—81no—
618C22—164no—
619C22—164no—
620C22D42×C10711yescharacteristic
621C4—21no—
622C4—41no—
623C4—41no—
624C4—41no—
625C4—41no—
626C4—41no—
627C4—81no—
628C4—81no—
629C4C2×#135×C10711yescharacteristic
630C4C2×AGL(1,ℤ/8)×C10711yescharacteristic
631C4#576×C10711yescharacteristic
632C4#577×C10711yescharacteristic
633C2—42no—
634C2—42no—
635C2—81no—
636C2—161no—
637C2—161no—
638C2C107×#326511yescharacteristic
639C2C107×#328011yescharacteristic
640C2C107×#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×#3360C2semidirect
2. C107×#3324C2semidirect
3. C107×#3295C2semidirect
5. C107×#1717C2semidirect
6. C107×#1697C2semidirect
7. C107×#1683C2semidirect
8. C107×#1681C2semidirect
9. C107×#1668C2semidirect
10. C107×#1639C2semidirect
11. C107×#1629C2semidirect
12. C107×#1628C2semidirect
13. C107×#1622C2semidirect
14. C107×#1581C2semidirect
15. C107×SD16⋊C8C2semidirect
17. #556×C107C22semidirect
18. #554×C107C22semidirect
22. #492×C107C22semidirect
24. #487×C107C22semidirect
25. #486×C107C22semidirect
26. #486×C107C22semidirect
27. #486×C107C22semidirect
32. #476×C107C22semidirect
38. #461×C107C22semidirect
39. #460×C107C22semidirect
40. #460×C107C22semidirect
47. C8×Q8×C107C22semidirect
51. #436×C107C22semidirect
53. C8×D4×C107C22semidirect
56. #335×C107C22semidirect
57. #335×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
312. #19773C107direct (N × H)
321. #3360C2×C107semidirect
322. #3324C2×C107semidirect
323. #3295C2×C107semidirect
325. #1717C2×C107semidirect
326. #1697C2×C107semidirect
327. #1683C2×C107semidirect
328. #1681C2×C107semidirect
329. #1668C2×C107semidirect
330. #1639C2×C107semidirect
331. #1629C2×C107semidirect
332. #1628C2×C107semidirect
333. #1622C2×C107semidirect
334. #1581C2×C107semidirect
335. SD16⋊C8C2×C107semidirect
336. C107#19773direct (N × H)
338. #556C22×C107semidirect
339. #554C22×C107semidirect
343. #492C22×C107semidirect
345. #487C22×C107semidirect
346. #486C22×C107semidirect
347. #486C22×C107semidirect
348. #486C22×C107semidirect
353. #476C22×C107semidirect
359. #461C22×C107semidirect
360. #460C22×C107semidirect
361. #460C22×C107semidirect
368. C8×Q8C22×C107semidirect
372. #436C22×C107semidirect
374. C8×D4C22×C107semidirect
377. #335C22×C107semidirect
378. #335C22×C107semidirect
379. #333C22×C107semidirect
380. #332C22×C107semidirect
381. #331C22×C107semidirect
382. #331C22×C107semidirect
383. Q8⋊C8C22×C107semidirect
385. D4⋊C8C22×C107semidirect
386. D4⋊C8C22×C107semidirect
387. #322C22×C107semidirect

Maximal subgroups

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

subgroupindex
C107×#33602
C107×#33242
C107×#32952
D4×D8×C1072
C107×#17172
C107×#16972
C107×#16832
C107×#16812
C107×#16682
C107×#16392
C107×#16292
C107×#16282
C107×#16222
C107×#15812
C107×SD16⋊C82
#19773107