Finite Group Databasebeta

← C107×#19772 #41045736

Subgroups — C107×#19772 #41045736

Order 27392.

710 conjugacy classes of subgroups.

The subgroup lattice has 644 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C107×#3330C211yesmaximal, characteristic, complemented
2C107×#3294C211yesmaximal, characteristic, complemented
3C107×#3294C211yesmaximal, characteristic, complemented
4C107×#3283C211yesmaximal, characteristic, complemented
5C107×#1720C211yesmaximal, characteristic, complemented
6C107×#1701C211yesmaximal, characteristic, complemented
7C107×#1681C211yesmaximal, characteristic, complemented
8C107×#1679C211yesmaximal, characteristic, complemented
9C107×#1669C211yesmaximal, characteristic, complemented
10C107×#1654C211yesmaximal, characteristic, complemented
11C107×#1654C211yesmaximal, characteristic, complemented
12C107×#1639C211yesmaximal, characteristic, complemented
13C107×#1625C211yesmaximal, characteristic, complemented
14C107×#1581C211yesmaximal, characteristic, complemented
15C107×#1580C211yesmaximal, characteristic, complemented
16C2×#135×C107—21no—
17#547×C107C2211yescharacteristic
18#547×C107C2211yescharacteristic
19#547×C107C2211yescharacteristic, complemented
20D42×C107C2211yescharacteristic
21#498×C107C2211yescharacteristic, complemented
22#494×C107C2211yescharacteristic, complemented
23#487×C107C2211yescharacteristic, complemented
24#486×C107C2211yescharacteristic
25#486×C107C2211yescharacteristic
26#486×C107C2211yescharacteristic
27#484×C107—21no—
28#480×C107—21no—
29#480×C107—21no—
30#474×C107C2211yescharacteristic
31#474×C107C2211yescharacteristic
32#474×C107C2211yescharacteristic
33#468×C107—21no—
34#467×C107—21no—
35#466×C107—21no—
36#466×C107—21no—
37#461×C107C2211yescharacteristic
38#461×C107C2211yescharacteristic, complemented
39#461×C107C2211yescharacteristic, complemented
40#459×C107C2211yescharacteristic
41#459×C107C2211yescharacteristic
42#452×C107—21no—
43#452×C107—21no—
44#449×C107—21no—
45#447×C107—21no—
46#447×C107—21no—
47C4×D8×C107C2211yescharacteristic
48C4×D8×C107C2211yescharacteristic
49#436×C107C2211yescharacteristic, complemented
50C8×D4×C107C2211yescharacteristic
51C8×D4×C107C2211yescharacteristic
52C8×D4×C107C2211yescharacteristic, complemented
53#417×C107—21no—
54C2×#102×C107—21no—
55C2×#102×C107—21no—
56#335×C107C2211yescharacteristic, complemented
57#334×C107C2211yescharacteristic, complemented
58#332×C107C2211yescharacteristic, complemented
59#332×C107C2211yescharacteristic, complemented
60#332×C107C2211yescharacteristic, complemented
61#331×C107C2211yescharacteristic
62D4⋊C8×C107C2211yescharacteristic
63D4⋊C8×C107C2211yescharacteristic
64D4⋊C8×C107C2211yescharacteristic, complemented
65D4⋊C8×C107C2211yescharacteristic, complemented
66#322×C107C2211yescharacteristic, complemented
67C2×#41×C107—21no—
68C2×#41×C107—21no—
69C2×#41×C107—21no—
70C22×D4×C107—21no—
71C22×D4×C107—21no—
72#135×C107—44no—
73C2×Q16×C107—21no—
74C2×Q16×C107—21no—
75C2×SD16×C107—21no—
76C2×SD16×C107—21no—
77C2×SD16×C107—21no—
78C2×D8×C107—21no—
79C2×D8×C107—21no—
80C2×D8×C107D411yescharacteristic
81C2×D8×C107D411yescharacteristic
82C2×M16×C107—21no—
83C22×C8×C107—21no—
84C22×C8×C107—21no—
85C22×C8×C107—21no—
86C4⋊Q8×C107C2311yescharacteristic
87C4⋊Q8×C107C2311yescharacteristic
88C4⋊Q8×C107C2311yescharacteristic
89#127×C107C2311yescharacteristic
90#123×C107—41no—
91#123×C107—41no—
92#123×C107—41no—
93C22⋊Q8×C107—21no—
94C22⋊Q8×C107—21no—
95C22⋊Q8×C107—21no—
96#121×C107—21no—
97#121×C107—21no—
98#121×C107—21no—
99#121×C107—21no—
100#121×C107—21no—
101#120×C107—41no—
102C4×D4×C107C2311yescharacteristic
103C4×D4×C107C2311yescharacteristic
104C4×D4×C107C2311yescharacteristic
105C4×D4×C107C2311yescharacteristic
106C2×C4⋊C4×C107—21no—
107C2×C4⋊C4×C107—21no—
108C2×C4⋊C4×C107—21no—
109#107×C107—21no—
110#107×C107—21no—
111#107×C107—21no—
112#107×C107D411yescharacteristic
113#107×C107D411yescharacteristic
114#106×C107—41no—
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×C107—21no—
123#103×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—41no—
134#102×C107D411yescharacteristic
135#102×C107D411yescharacteristic
136#102×C107D411yescharacteristic
137#102×C107D411yescharacteristic
138C22⋊C8×C107—21no—
139C22⋊C8×C107—21no—
140C22⋊C8×C107—21no—
141C22⋊C8×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—42no—
149#41×C107—81no—
150#41×C107—81no—
151#41×C107—81no—
152C2×Q8×C107—21no—
153C2×Q8×C107—21no—
154C2×Q8×C107—21no—
155C2×D4×C107—21no—
156C2×D4×C107—21no—
157C2×D4×C107—21no—
158C2×D4×C107—41no—
159C2×D4×C107—41no—
160C2×D4×C107—42no—
161C2×D4×C107—42no—
162C2×D4×C107—41no—
163C2×D4×C107—41no—
164C2×D4×C107—41no—
165C2×D4×C107—81no—
166C2×D4×C107—81no—
167C2×D4×C107C2×D411yescharacteristic
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—21no—
175C22×C4×C107—41no—
176C22×C4×C107—41no—
177C22×C4×C107—41no—
178Q16×C107—42no—
179Q16×C107—81no—
180SD16×C107—42no—
181SD16×C107—42no—
182SD16×C107—81no—
183D8×C107—22no—
184D8×C107—22no—
185D8×C107—81no—
186D8×C107—81no—
187M16×C107—81no—
188C2×C8×C107—21no—
189C2×C8×C107—21no—
190C2×C8×C107—21no—
191C2×C8×C107—21no—
192C2×C8×C107—21no—
193C2×C8×C107—42no—
194C2×C8×C107—81no—
195C2×C8×C107—81no—
196C2×C8×C107C2×D411yescharacteristic
197C2×C8×C107C2×D411yescharacteristic
198C2×C8×C107C2×D411yescharacteristic
199C2×C8×C107C2×D411yescharacteristic
200C4⋊C4×C107—21no—
201C4⋊C4×C107—21no—
202C4⋊C4×C107—21no—
203C4⋊C4×C107—21no—
204C4⋊C4×C107—21no—
205C4⋊C4×C107—21no—
206C4⋊C4×C107—41no—
207C4⋊C4×C107—41no—
208C4⋊C4×C107—41no—
209C4⋊C4×C107C2×D411yescharacteristic
210C4⋊C4×C107C2×D411yescharacteristic
211C4⋊C4×C107C2×D411yescharacteristic
212C4⋊C4×C107C2×D411yescharacteristic
213C22⋊C4×C107—21no—
214C22⋊C4×C107—21no—
215C22⋊C4×C107—21no—
216C22⋊C4×C107—21no—
217C22⋊C4×C107—41no—
218C22⋊C4×C107—41no—
219C22⋊C4×C107—41no—
220C22⋊C4×C107—41no—
221C42×C107C2411yescharacteristic
222C23×C107—21no—
223C23×C107—21no—
224C23×C107—21no—
225C23×C107—21no—
226C23×C107—41no—
227C23×C107—82no—
228C23×C107—82no—
229C23×C107—161no—
230Q8×C107—41no—
231Q8×C107—41no—
232Q8×C107—41no—
233Q8×C107—41no—
234Q8×C107—41no—
235Q8×C107—41no—
236D4×C107—21no—
237D4×C107—21no—
238D4×C107—21no—
239D4×C107—21no—
240D4×C107—21no—
241D4×C107—21no—
242D4×C107—41no—
243D4×C107—41no—
244D4×C107—41no—
245D4×C107—41no—
246D4×C107—81no—
247D4×C107—82no—
248D4×C107—82no—
249D4×C107—82no—
250D4×C107—82no—
251D4×C107—82no—
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—41no—
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—41no—
268C2×C4×C107—41no—
269C2×C4×C107—82no—
270C2×C4×C107—82no—
271C2×C4×C107—82no—
272C2×C4×C107C22×D411yescharacteristic
273C2×C4×C107C22×D411yescharacteristic
274C2×C4×C107H(5,𝔽2)11yescharacteristic
275C8×C107—21no—
276C8×C107—21no—
277C8×C107—21no—
278C8×C107—21no—
279C8×C107—41no—
280C8×C107—41no—
281C8×C107—41no—
282C8×C107—41no—
283C8×C107—41no—
284C22×C107—22no—
285C22×C107—22no—
286C22×C107—41no—
287C22×C107—41no—
288C22×C107—41no—
289C22×C107—41no—
290C22×C107—41no—
291C22×C107—41no—
292C22×C107—41no—
293C22×C107—41no—
294C22×C107—41no—
295C22×C107—41no—
296C22×C107—81no—
297C22×C107—81no—
298C22×C107—81no—
299C22×C107—164no—
300C22×C107D4211yescharacteristic
301C4×C107—21no—
302C4×C107—41no—
303C4×C107—41no—
304C4×C107—41no—
305C4×C107—41no—
306C4×C107—81no—
307C4×C107—81no—
308C4×C107—81no—
309C4×C107C2×#13511yescharacteristic
310C4×C107C2×AGL(1,ℤ/8)11yescharacteristic
311C4×C107#57611yescharacteristic
312C4×C107#57611yescharacteristic
313#19772C10711yesmaximal, characteristic, direct product factor, Sylow
314C2×C107—42no—
315C2×C107—42no—
316C2×C107—81no—
317C2×C107—81no—
318C2×C107—161no—
319C2×C107#326411yescharacteristic
320C2×C107#328011yescharacteristic
321C2×C107#328911yescharacteristic
322#3330C2×C10711yescharacteristic, complemented
323#3294C2×C10711yescharacteristic, complemented
324#3294C2×C10711yescharacteristic, complemented
325#3283C2×C10711yescharacteristic, complemented
326#1720C2×C10711yescharacteristic, complemented
327#1701C2×C10711yescharacteristic, complemented
328#1681C2×C10711yescharacteristic, complemented
329#1679C2×C10711yescharacteristic, complemented
330#1669C2×C10711yescharacteristic, complemented
331#1654C2×C10711yescharacteristic, complemented
332#1654C2×C10711yescharacteristic, complemented
333#1639C2×C10711yescharacteristic, complemented
334#1625C2×C10711yescharacteristic, complemented
335#1581C2×C10711yescharacteristic, complemented
336#1580C2×C10711yescharacteristic, complemented
337C107#1977211yescharacteristic, direct product factor, Sylow
338C2×#135—21no—
339#547C22×C10711yescharacteristic
340#547C22×C10711yescharacteristic
341#547C22×C10711yescharacteristic, complemented
342D42C22×C10711yescharacteristic
343#498C22×C10711yescharacteristic, complemented
344#494C22×C10711yescharacteristic, complemented
345#487C22×C10711yescharacteristic, complemented
346#486C22×C10711yescharacteristic
347#486C22×C10711yescharacteristic
348#486C22×C10711yescharacteristic
349#484—21no—
350#480—21no—
351#480—21no—
352#474C22×C10711yescharacteristic
353#474C22×C10711yescharacteristic
354#474C22×C10711yescharacteristic
355#468—21no—
356#467—21no—
357#466—21no—
358#466—21no—
359#461C22×C10711yescharacteristic
360#461C22×C10711yescharacteristic, complemented
361#461C22×C10711yescharacteristic, complemented
362#459C22×C10711yescharacteristic
363#459C22×C10711yescharacteristic
364#452—21no—
365#452—21no—
366#449—21no—
367#447—21no—
368#447—21no—
369C4×D8C22×C10711yescharacteristic
370C4×D8C22×C10711yescharacteristic
371#436C22×C10711yescharacteristic, complemented
372C8×D4C22×C10711yescharacteristic
373C8×D4C22×C10711yescharacteristic
374C8×D4C22×C10711yescharacteristic, complemented
375#417—21no—
376C2×#102—21no—
377C2×#102—21no—
378#335C22×C10711yescharacteristic, complemented
379#334C22×C10711yescharacteristic, complemented
380#332C22×C10711yescharacteristic, complemented
381#332C22×C10711yescharacteristic, complemented
382#332C22×C10711yescharacteristic, complemented
383#331C22×C10711yescharacteristic
384D4⋊C8C22×C10711yescharacteristic
385D4⋊C8C22×C10711yescharacteristic
386D4⋊C8C22×C10711yescharacteristic, complemented
387D4⋊C8C22×C10711yescharacteristic, complemented
388#322C22×C10711yescharacteristic, complemented
389C2×#41—21no—
390C2×#41—21no—
391C2×#41—21no—
392C22×D4—21no—
393C22×D4—21no—
394#135—44no—
395C2×Q16—21no—
396C2×Q16—21no—
397C2×SD16—21no—
398C2×SD16—21no—
399C2×SD16—21no—
400C2×D8—21no—
401C2×D8—21no—
402C2×D8D4×C10711yescharacteristic
403C2×D8D4×C10711yescharacteristic
404C2×M16—21no—
405C22×C8—21no—
406C22×C8—21no—
407C22×C8—21no—
408C4⋊Q8C23×C10711yescharacteristic
409C4⋊Q8C23×C10711yescharacteristic
410C4⋊Q8C23×C10711yescharacteristic
411#127C23×C10711yescharacteristic
412#123—41no—
413#123—41no—
414#123—41no—
415C22⋊Q8—21no—
416C22⋊Q8—21no—
417C22⋊Q8—21no—
418#121—21no—
419#121—21no—
420#121—21no—
421#121—21no—
422#121—21no—
423#120—41no—
424C4×D4C23×C10711yescharacteristic
425C4×D4C23×C10711yescharacteristic
426C4×D4C23×C10711yescharacteristic
427C4×D4C23×C10711yescharacteristic
428C2×C4⋊C4—21no—
429C2×C4⋊C4—21no—
430C2×C4⋊C4—21no—
431#107—21no—
432#107—21no—
433#107—21no—
434#107D4×C10711yescharacteristic
435#107D4×C10711yescharacteristic
436#106—41no—
437C4⋊C8C23×C10711yescharacteristic
438C4⋊C8C23×C10711yescharacteristic
439C4⋊C8C23×C10711yescharacteristic
440C4⋊C8C23×C10711yescharacteristic
441#103—21no—
442#103—21no—
443#103—21no—
444#103—21no—
445#103—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
459#102D4×C10711yescharacteristic
460C22⋊C8—21no—
461C22⋊C8—21no—
462C22⋊C8—21no—
463C22⋊C8—21no—
464C4×C8C23×C10711yescharacteristic
465C4×C8C23×C10711yescharacteristic
466C4×C8C23×C10711yescharacteristic
467C24—41no—
468#41—42no—
469#41—42no—
470#41—42no—
471#41—81no—
472#41—81no—
473#41—81no—
474C2×Q8—21no—
475C2×Q8—21no—
476C2×Q8—21no—
477C2×D4—21no—
478C2×D4—21no—
479C2×D4—21no—
480C2×D4—41no—
481C2×D4—41no—
482C2×D4—42no—
483C2×D4—42no—
484C2×D4—41no—
485C2×D4—41no—
486C2×D4—41no—
487C2×D4—81no—
488C2×D4—81no—
489C2×D4C2×D4×C10711yescharacteristic
490C2×D4C2×D4×C10711yescharacteristic
491C2×D4C2×D4×C10711yescharacteristic
492C2×D4C2×D4×C10711yescharacteristic
493C22×C4—21no—
494C22×C4—21no—
495C22×C4—21no—
496C22×C4—21no—
497C22×C4—41no—
498C22×C4—41no—
499C22×C4—41no—
500Q16—42no—
501Q16—81no—
502SD16—42no—
503SD16—42no—
504SD16—81no—
505D8—22no—
506D8—22no—
507D8—81no—
508D8—81no—
509M16—81no—
510C2×C8—21no—
511C2×C8—21no—
512C2×C8—21no—
513C2×C8—21no—
514C2×C8—21no—
515C2×C8—42no—
516C2×C8—81no—
517C2×C8—81no—
518C2×C8C2×D4×C10711yescharacteristic
519C2×C8C2×D4×C10711yescharacteristic
520C2×C8C2×D4×C10711yescharacteristic
521C2×C8C2×D4×C10711yescharacteristic
522C4⋊C4—21no—
523C4⋊C4—21no—
524C4⋊C4—21no—
525C4⋊C4—21no—
526C4⋊C4—21no—
527C4⋊C4—21no—
528C4⋊C4—41no—
529C4⋊C4—41no—
530C4⋊C4—41no—
531C4⋊C4C2×D4×C10711yescharacteristic
532C4⋊C4C2×D4×C10711yescharacteristic
533C4⋊C4C2×D4×C10711yescharacteristic
534C4⋊C4C2×D4×C10711yescharacteristic
535C22⋊C4—21no—
536C22⋊C4—21no—
537C22⋊C4—21no—
538C22⋊C4—21no—
539C22⋊C4—41no—
540C22⋊C4—41no—
541C22⋊C4—41no—
542C22⋊C4—41no—
543C42C24×C10711yescharacteristic
544C23—21no—
545C23—21no—
546C23—21no—
547C23—21no—
548C23—41no—
549C23—82no—
550C23—82no—
551C23—161no—
552Q8—41no—
553Q8—41no—
554Q8—41no—
555Q8—41no—
556Q8—41no—
557Q8—41no—
558D4—21no—
559D4—21no—
560D4—21no—
561D4—21no—
562D4—21no—
563D4—21no—
564D4—41no—
565D4—41no—
566D4—41no—
567D4—41no—
568D4—81no—
569D4—82no—
570D4—82no—
571D4—82no—
572D4—82no—
573D4—82no—
574D4#135×C10712yescomplemented
575D4AGL(1,ℤ/8)×C10712yes—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—41no—
581C2×C4—41no—
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—41no—
591C2×C4—82no—
592C2×C4—82no—
593C2×C4—82no—
594C2×C4C22×D4×C10711yescharacteristic
595C2×C4C22×D4×C10711yescharacteristic
596C2×C4H(5,𝔽2)×C10711yescharacteristic
597C8—21no—
598C8—21no—
599C8—21no—
600C8—21no—
601C8—41no—
602C8—41no—
603C8—41no—
604C8—41no—
605C8—41no—
606C22—22no—
607C22—22no—
608C22—41no—
609C22—41no—
610C22—41no—
611C22—41no—
612C22—41no—
613C22—41no—
614C22—41no—
615C22—41no—
616C22—41no—
617C22—41no—
618C22—81no—
619C22—81no—
620C22—81no—
621C22—164no—
622C22D42×C10711yescharacteristic
623C4—21no—
624C4—41no—
625C4—41no—
626C4—41no—
627C4—41no—
628C4—81no—
629C4—81no—
630C4—81no—
631C4C2×#135×C10711yescharacteristic
632C4C2×AGL(1,ℤ/8)×C10711yescharacteristic
633C4#576×C10711yescharacteristic
634C4#576×C10711yescharacteristic
635C2—42no—
636C2—42no—
637C2—81no—
638C2—81no—
639C2—161no—
640C2C107×#326411yescharacteristic
641C2C107×#328011yescharacteristic
642C2C107×#328911yescharacteristic
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×#3330C2semidirect
2. C107×#3294C2semidirect
3. C107×#3294C2semidirect
4. C107×#3283C2semidirect
5. C107×#1720C2semidirect
6. C107×#1701C2semidirect
7. C107×#1681C2semidirect
8. C107×#1679C2semidirect
9. C107×#1669C2semidirect
10. C107×#1654C2semidirect
11. C107×#1654C2semidirect
12. C107×#1639C2semidirect
13. C107×#1625C2semidirect
14. C107×#1581C2semidirect
15. C107×#1580C2semidirect
19. #547×C107C22semidirect
21. #498×C107C22semidirect
22. #494×C107C22semidirect
23. #487×C107C22semidirect
38. #461×C107C22semidirect
39. #461×C107C22semidirect
49. #436×C107C22semidirect
52. C8×D4×C107C22semidirect
56. #335×C107C22semidirect
57. #334×C107C22semidirect
58. #332×C107C22semidirect
59. #332×C107C22semidirect
60. #332×C107C22semidirect
64. D4⋊C8×C107C22semidirect
65. D4⋊C8×C107C22semidirect
66. #322×C107C22semidirect
252. D4×C107#135semidirect
313. #19772C107direct (N × H)
322. #3330C2×C107semidirect
323. #3294C2×C107semidirect
324. #3294C2×C107semidirect
325. #3283C2×C107semidirect
326. #1720C2×C107semidirect
327. #1701C2×C107semidirect
328. #1681C2×C107semidirect
329. #1679C2×C107semidirect
330. #1669C2×C107semidirect
331. #1654C2×C107semidirect
332. #1654C2×C107semidirect
333. #1639C2×C107semidirect
334. #1625C2×C107semidirect
335. #1581C2×C107semidirect
336. #1580C2×C107semidirect
337. C107#19772direct (N × H)
341. #547C22×C107semidirect
343. #498C22×C107semidirect
344. #494C22×C107semidirect
345. #487C22×C107semidirect
360. #461C22×C107semidirect
361. #461C22×C107semidirect
371. #436C22×C107semidirect
374. C8×D4C22×C107semidirect
378. #335C22×C107semidirect
379. #334C22×C107semidirect
380. #332C22×C107semidirect
381. #332C22×C107semidirect
382. #332C22×C107semidirect
386. D4⋊C8C22×C107semidirect
387. D4⋊C8C22×C107semidirect
388. #322C22×C107semidirect
574. D4#135×C107semidirect

Maximal subgroups

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

subgroupindex
C107×#33302
C107×#32942
C107×#32832
C107×#17202
C107×#17012
C107×#16812
C107×#16792
C107×#16692
C107×#16542
C107×#16392
C107×#16252
C107×#15812
C107×#15802
#19772107