Finite Group Databasebeta

← C107×#19755 #41045719

Subgroups — C107×#19755 #41045719

Order 27392.

842 conjugacy classes of subgroups.

The subgroup lattice has 710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C107×#3294C211yesmaximal, characteristic, complemented
2D4×D8×C107C211yesmaximal, characteristic, complemented
3D4×D8×C107C211yesmaximal, characteristic, complemented
4C107×#3272C211yesmaximal, characteristic, complemented
5C107×#1721C211yesmaximal, characteristic, complemented
6C107×#1687C211yesmaximal, characteristic, complemented
7C107×#1681C211yesmaximal, characteristic, complemented
8C107×#1667C211yesmaximal, characteristic, complemented
9C107×#1665C211yesmaximal, characteristic, complemented
10C107×#1639C211yesmaximal, characteristic, complemented
11C107×#1625C211yesmaximal, characteristic, complemented
12C107×#1619C211yesmaximal, characteristic, complemented
13C107×#1619C211yesmaximal, characteristic, complemented
14C107×#1581C211yesmaximal, characteristic, complemented
15C107×#1580C211yesmaximal, characteristic, complemented
16C2×AGL(1,ℤ/8)×C107—21no—
17C22×D8×C107—21no—
18C22×D8×C107—21no—
19#547×C107C2211yescharacteristic, complemented
20D42×C107C2211yescharacteristic
21D42×C107C2211yescharacteristic, complemented
22D42×C107C2211yescharacteristic, complemented
23#493×C107C2211yescharacteristic, complemented
24#493×C107C2211yescharacteristic, complemented
25#493×C107C2211yescharacteristic, complemented
26#492×C107C2211yescharacteristic, complemented
27#486×C107C2211yescharacteristic, complemented
28#486×C107C2211yescharacteristic, complemented
29#480×C107—21no—
30#474×C107C2211yescharacteristic, complemented
31#468×C107—21no—
32#466×C107—21no—
33#466×C107—21no—
34#466×C107—21no—
35#461×C107C2211yescharacteristic, complemented
36#459×C107C2211yescharacteristic
37#459×C107C2211yescharacteristic
38#459×C107C2211yescharacteristic, complemented
39#459×C107C2211yescharacteristic, complemented
40#459×C107C2211yescharacteristic, complemented
41#459×C107C2211yescharacteristic, complemented
42#450×C107—21no—
43#449×C107—21no—
44#447×C107—21no—
45#447×C107—21no—
46#447×C107—21no—
47#447×C107—21no—
48#447×C107—21no—
49C4×D8×C107C2211yescharacteristic
50C4×D8×C107C2211yescharacteristic
51#436×C107C2211yescharacteristic, complemented
52C8×D4×C107C2211yescharacteristic, complemented
53C8×D4×C107C2211yescharacteristic, complemented
54C8×D4×C107C2211yescharacteristic, complemented
55C2×#102×C107—21no—
56#335×C107C2211yescharacteristic, complemented
57#334×C107C2211yescharacteristic, complemented
58#332×C107C2211yescharacteristic, complemented
59#331×C107C2211yescharacteristic, complemented
60#331×C107C2211yescharacteristic, complemented
61#331×C107C2211yescharacteristic, complemented
62D4⋊C8×C107C2211yescharacteristic, complemented
63D4⋊C8×C107C2211yescharacteristic, complemented
64D4⋊C8×C107C2211yescharacteristic, complemented
65D4⋊C8×C107C2211yescharacteristic, complemented
66#322×C107C2211yescharacteristic, complemented
67C2×#41×C107—21no—
68C22×D4×C107—21no—
69C22×D4×C107—21no—
70C22×D4×C107—21no—
71C22×D4×C107—21no—
72C22×D4×C107—21no—
73C22×D4×C107—21no—
74AGL(1,ℤ/8)×C107—44no—
75C2×SD16×C107—21no—
76C2×SD16×C107—21no—
77C2×SD16×C107—21no—
78C2×D8×C107—21no—
79C2×D8×C107—21no—
80C2×D8×C107—21no—
81C2×D8×C107—21no—
82C2×D8×C107—21no—
83C2×D8×C107—21no—
84C2×D8×C107—21no—
85C2×D8×C107—21no—
86C2×D8×C107—21no—
87C2×D8×C107—21no—
88C2×D8×C107—41no—
89C2×D8×C107—44no—
90C2×D8×C107—44no—
91C2×D8×C107D411yescharacteristic
92C2×D8×C107D411yescharacteristic
93C2×M16×C107—21no—
94C22×C8×C107—21no—
95C22×C8×C107—21no—
96C22×C8×C107—21no—
97C4⋊Q8×C107C2311yescharacteristic
98#127×C107C2311yescharacteristic
99#127×C107C2311yescharacteristic
100#127×C107C2311yescharacteristic
101#123×C107—41no—
102C22⋊Q8×C107—21no—
103#121×C107—21no—
104#121×C107—21no—
105#121×C107—21no—
106#121×C107—21no—
107#121×C107—21no—
108#121×C107—21no—
109#121×C107—21no—
110#120×C107—41no—
111#120×C107—41no—
112#120×C107—41no—
113C4×D4×C107C2311yescharacteristic
114C4×D4×C107C2311yescharacteristic
115C4×D4×C107C2311yescharacteristic
116C4×D4×C107C2311yescharacteristic
117C2×C4⋊C4×C107—21no—
118#107×C107—21no—
119#107×C107D411yescharacteristic
120#107×C107D411yescharacteristic
121C4⋊C8×C107C2311yescharacteristic
122C4⋊C8×C107C2311yescharacteristic
123C4⋊C8×C107C2311yescharacteristic
124C4⋊C8×C107C2311yescharacteristic
125#103×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×C107—41no—
136#102×C107D411yescharacteristic
137#102×C107D411yescharacteristic
138#102×C107D411yescharacteristic
139#102×C107D411yescharacteristic
140C22⋊C8×C107—21no—
141C22⋊C8×C107—21no—
142C22⋊C8×C107—21no—
143C22⋊C8×C107—21no—
144C4×C8×C107C2311yescharacteristic
145C4×C8×C107C2311yescharacteristic
146C4×C8×C107C2311yescharacteristic
147C24×C107—41no—
148C24×C107—41no—
149C24×C107—41no—
150#41×C107—42no—
151#41×C107—81no—
152C2×Q8×C107—21no—
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—21no—
160C2×D4×C107—21no—
161C2×D4×C107—21no—
162C2×D4×C107—41no—
163C2×D4×C107—41no—
164C2×D4×C107—41no—
165C2×D4×C107—41no—
166C2×D4×C107—41no—
167C2×D4×C107—41no—
168C2×D4×C107—42no—
169C2×D4×C107—42no—
170C2×D4×C107—42no—
171C2×D4×C107—42no—
172C2×D4×C107—42no—
173C2×D4×C107—42no—
174C2×D4×C107—41no—
175C2×D4×C107—81no—
176C2×D4×C107—81no—
177C2×D4×C107—81no—
178C2×D4×C107—81no—
179C2×D4×C107—81no—
180C2×D4×C107—81no—
181C2×D4×C107C2×D411yescharacteristic
182C2×D4×C107C2×D411yescharacteristic
183C2×D4×C107C2×D411yescharacteristic
184C2×D4×C107C2×D411yescharacteristic
185C22×C4×C107—21no—
186C22×C4×C107—21no—
187C22×C4×C107—21no—
188C22×C4×C107—21no—
189C22×C4×C107—41no—
190SD16×C107—42no—
191SD16×C107—42no—
192SD16×C107—81no—
193D8×C107—22no—
194D8×C107—42no—
195D8×C107—42no—
196D8×C107—42no—
197D8×C107—42no—
198D8×C107—42no—
199D8×C107—42no—
200D8×C107—42no—
201D8×C107—81no—
202D8×C107—81no—
203D8×C107—81no—
204D8×C107—82no—
205D8×C107D814yescomplemented
206M16×C107—42no—
207C2×C8×C107—21no—
208C2×C8×C107—21no—
209C2×C8×C107—21no—
210C2×C8×C107—21no—
211C2×C8×C107—21no—
212C2×C8×C107—42no—
213C2×C8×C107—42no—
214C2×C8×C107—81no—
215C2×C8×C107C2×D411yescharacteristic
216C2×C8×C107C2×D411yescharacteristic
217C2×C8×C107C2×D411yescharacteristic
218C2×C8×C107C2×D411yescharacteristic
219C4⋊C4×C107—21no—
220C4⋊C4×C107—21no—
221C4⋊C4×C107—41no—
222C4⋊C4×C107C2×D411yescharacteristic
223C4⋊C4×C107C2×D411yescharacteristic
224C4⋊C4×C107C2×D411yescharacteristic
225C4⋊C4×C107C2×D411yescharacteristic
226C22⋊C4×C107—21no—
227C22⋊C4×C107—21no—
228C22⋊C4×C107—21no—
229C22⋊C4×C107—21no—
230C22⋊C4×C107—41no—
231C22⋊C4×C107—41no—
232C22⋊C4×C107—41no—
233C22⋊C4×C107—41no—
234C42×C107C2411yescharacteristic
235C23×C107—21no—
236C23×C107—21no—
237C23×C107—21no—
238C23×C107—21no—
239C23×C107—41no—
240C23×C107—41no—
241C23×C107—41no—
242C23×C107—82no—
243C23×C107—82no—
244C23×C107—82no—
245C23×C107—82no—
246C23×C107—82no—
247C23×C107—82no—
248C23×C107—161no—
249C23×C107—161no—
250C23×C107—161no—
251Q8×C107—41no—
252Q8×C107—41no—
253D4×C107—21no—
254D4×C107—21no—
255D4×C107—21no—
256D4×C107—21no—
257D4×C107—21no—
258D4×C107—41no—
259D4×C107—41no—
260D4×C107—41no—
261D4×C107—41no—
262D4×C107—41no—
263D4×C107—41no—
264D4×C107—41no—
265D4×C107—41no—
266D4×C107—41no—
267D4×C107—41no—
268D4×C107—41no—
269D4×C107—41no—
270D4×C107—81no—
271D4×C107—81no—
272D4×C107—81no—
273D4×C107—82no—
274D4×C107—82no—
275D4×C107—82no—
276D4×C107—82no—
277D4×C107—82no—
278D4×C107—82no—
279D4×C107—82no—
280D4×C107C2×D812yes—
281D4×C107C2×D812yescomplemented
282D4×C107AGL(1,ℤ/8)12yescomplemented
283C2×C4×C107—21no—
284C2×C4×C107—21no—
285C2×C4×C107—21no—
286C2×C4×C107—21no—
287C2×C4×C107—41no—
288C2×C4×C107—41no—
289C2×C4×C107—41no—
290C2×C4×C107—41no—
291C2×C4×C107—41no—
292C2×C4×C107—41no—
293C2×C4×C107—41no—
294C2×C4×C107—41no—
295C2×C4×C107—41no—
296C2×C4×C107—82no—
297C2×C4×C107C22×D411yescharacteristic
298C2×C4×C107C22×D411yescharacteristic
299C2×C4×C107H(5,𝔽2)11yescharacteristic
300C8×C107—21no—
301C8×C107—21no—
302C8×C107—21no—
303C8×C107—41no—
304C8×C107—41no—
305C8×C107—41no—
306C8×C107—41no—
307C8×C107—41no—
308C8×C107C2×D812yescomplemented
309C22×C107—22no—
310C22×C107—22no—
311C22×C107—22no—
312C22×C107—41no—
313C22×C107—41no—
314C22×C107—41no—
315C22×C107—41no—
316C22×C107—41no—
317C22×C107—41no—
318C22×C107—41no—
319C22×C107—41no—
320C22×C107—41no—
321C22×C107—81no—
322C22×C107—81no—
323C22×C107—81no—
324C22×C107—81no—
325C22×C107—81no—
326C22×C107—81no—
327C22×C107—81no—
328C22×C107—81no—
329C22×C107—81no—
330C22×C107—164no—
331C22×C107—164no—
332C22×C107—164no—
333C22×C107D4211yescharacteristic
334C4×C107—21no—
335C4×C107—41no—
336C4×C107—41no—
337C4×C107—41no—
338C4×C107—41no—
339C4×C107—81no—
340C4×C107C22×D811yescharacteristic
341C4×C107C2×AGL(1,ℤ/8)11yescharacteristic
342C4×C107#57611yescharacteristic
343C4×C107#57611yescharacteristic
344#19755C10711yesmaximal, characteristic, direct product factor, Sylow
345C2×C107—42no—
346C2×C107—42no—
347C2×C107—42no—
348C2×C107—81no—
349C2×C107—161no—
350C2×C107—161no—
351C2×C107—161no—
352C2×C107#326411yescharacteristic
353C2×C107D4×D811yescharacteristic
354C2×C107#328811yescharacteristic
355#3294C2×C10711yescharacteristic, complemented
356D4×D8C2×C10711yescharacteristic, complemented
357D4×D8C2×C10711yescharacteristic, complemented
358#3272C2×C10711yescharacteristic, complemented
359#1721C2×C10711yescharacteristic, complemented
360#1687C2×C10711yescharacteristic, complemented
361#1681C2×C10711yescharacteristic, complemented
362#1667C2×C10711yescharacteristic, complemented
363#1665C2×C10711yescharacteristic, complemented
364#1639C2×C10711yescharacteristic, complemented
365#1625C2×C10711yescharacteristic, complemented
366#1619C2×C10711yescharacteristic, complemented
367#1619C2×C10711yescharacteristic, complemented
368#1581C2×C10711yescharacteristic, complemented
369#1580C2×C10711yescharacteristic, complemented
370C107#1975511yescharacteristic, direct product factor, Sylow
371C2×AGL(1,ℤ/8)—21no—
372C22×D8—21no—
373C22×D8—21no—
374#547C22×C10711yescharacteristic, complemented
375D42C22×C10711yescharacteristic
376D42C22×C10711yescharacteristic, complemented
377D42C22×C10711yescharacteristic, complemented
378#493C22×C10711yescharacteristic, complemented
379#493C22×C10711yescharacteristic, complemented
380#493C22×C10711yescharacteristic, complemented
381#492C22×C10711yescharacteristic, complemented
382#486C22×C10711yescharacteristic, complemented
383#486C22×C10711yescharacteristic, complemented
384#480—21no—
385#474C22×C10711yescharacteristic, complemented
386#468—21no—
387#466—21no—
388#466—21no—
389#466—21no—
390#461C22×C10711yescharacteristic, complemented
391#459C22×C10711yescharacteristic
392#459C22×C10711yescharacteristic
393#459C22×C10711yescharacteristic, complemented
394#459C22×C10711yescharacteristic, complemented
395#459C22×C10711yescharacteristic, complemented
396#459C22×C10711yescharacteristic, complemented
397#450—21no—
398#449—21no—
399#447—21no—
400#447—21no—
401#447—21no—
402#447—21no—
403#447—21no—
404C4×D8C22×C10711yescharacteristic
405C4×D8C22×C10711yescharacteristic
406#436C22×C10711yescharacteristic, complemented
407C8×D4C22×C10711yescharacteristic, complemented
408C8×D4C22×C10711yescharacteristic, complemented
409C8×D4C22×C10711yescharacteristic, complemented
410C2×#102—21no—
411#335C22×C10711yescharacteristic, complemented
412#334C22×C10711yescharacteristic, complemented
413#332C22×C10711yescharacteristic, complemented
414#331C22×C10711yescharacteristic, complemented
415#331C22×C10711yescharacteristic, complemented
416#331C22×C10711yescharacteristic, complemented
417D4⋊C8C22×C10711yescharacteristic, complemented
418D4⋊C8C22×C10711yescharacteristic, complemented
419D4⋊C8C22×C10711yescharacteristic, complemented
420D4⋊C8C22×C10711yescharacteristic, complemented
421#322C22×C10711yescharacteristic, complemented
422C2×#41—21no—
423C22×D4—21no—
424C22×D4—21no—
425C22×D4—21no—
426C22×D4—21no—
427C22×D4—21no—
428C22×D4—21no—
429AGL(1,ℤ/8)—44no—
430C2×SD16—21no—
431C2×SD16—21no—
432C2×SD16—21no—
433C2×D8—21no—
434C2×D8—21no—
435C2×D8—21no—
436C2×D8—21no—
437C2×D8—21no—
438C2×D8—21no—
439C2×D8—21no—
440C2×D8—21no—
441C2×D8—21no—
442C2×D8—21no—
443C2×D8—41no—
444C2×D8—44no—
445C2×D8—44no—
446C2×D8D4×C10711yescharacteristic
447C2×D8D4×C10711yescharacteristic
448C2×M16—21no—
449C22×C8—21no—
450C22×C8—21no—
451C22×C8—21no—
452C4⋊Q8C23×C10711yescharacteristic
453#127C23×C10711yescharacteristic
454#127C23×C10711yescharacteristic
455#127C23×C10711yescharacteristic
456#123—41no—
457C22⋊Q8—21no—
458#121—21no—
459#121—21no—
460#121—21no—
461#121—21no—
462#121—21no—
463#121—21no—
464#121—21no—
465#120—41no—
466#120—41no—
467#120—41no—
468C4×D4C23×C10711yescharacteristic
469C4×D4C23×C10711yescharacteristic
470C4×D4C23×C10711yescharacteristic
471C4×D4C23×C10711yescharacteristic
472C2×C4⋊C4—21no—
473#107—21no—
474#107D4×C10711yescharacteristic
475#107D4×C10711yescharacteristic
476C4⋊C8C23×C10711yescharacteristic
477C4⋊C8C23×C10711yescharacteristic
478C4⋊C8C23×C10711yescharacteristic
479C4⋊C8C23×C10711yescharacteristic
480#103—21no—
481#102—21no—
482#102—21no—
483#102—21no—
484#102—21no—
485#102—21no—
486#102—21no—
487#102—21no—
488#102—21no—
489#102—21no—
490#102—41no—
491#102D4×C10711yescharacteristic
492#102D4×C10711yescharacteristic
493#102D4×C10711yescharacteristic
494#102D4×C10711yescharacteristic
495C22⋊C8—21no—
496C22⋊C8—21no—
497C22⋊C8—21no—
498C22⋊C8—21no—
499C4×C8C23×C10711yescharacteristic
500C4×C8C23×C10711yescharacteristic
501C4×C8C23×C10711yescharacteristic
502C24—41no—
503C24—41no—
504C24—41no—
505#41—42no—
506#41—81no—
507C2×Q8—21no—
508C2×D4—21no—
509C2×D4—21no—
510C2×D4—21no—
511C2×D4—21no—
512C2×D4—21no—
513C2×D4—21no—
514C2×D4—21no—
515C2×D4—21no—
516C2×D4—21no—
517C2×D4—41no—
518C2×D4—41no—
519C2×D4—41no—
520C2×D4—41no—
521C2×D4—41no—
522C2×D4—41no—
523C2×D4—42no—
524C2×D4—42no—
525C2×D4—42no—
526C2×D4—42no—
527C2×D4—42no—
528C2×D4—42no—
529C2×D4—41no—
530C2×D4—81no—
531C2×D4—81no—
532C2×D4—81no—
533C2×D4—81no—
534C2×D4—81no—
535C2×D4—81no—
536C2×D4C2×D4×C10711yescharacteristic
537C2×D4C2×D4×C10711yescharacteristic
538C2×D4C2×D4×C10711yescharacteristic
539C2×D4C2×D4×C10711yescharacteristic
540C22×C4—21no—
541C22×C4—21no—
542C22×C4—21no—
543C22×C4—21no—
544C22×C4—41no—
545SD16—42no—
546SD16—42no—
547SD16—81no—
548D8—22no—
549D8—42no—
550D8—42no—
551D8—42no—
552D8—42no—
553D8—42no—
554D8—42no—
555D8—42no—
556D8—81no—
557D8—81no—
558D8—81no—
559D8—82no—
560D8D8×C10714yescomplemented
561M16—42no—
562C2×C8—21no—
563C2×C8—21no—
564C2×C8—21no—
565C2×C8—21no—
566C2×C8—21no—
567C2×C8—42no—
568C2×C8—42no—
569C2×C8—81no—
570C2×C8C2×D4×C10711yescharacteristic
571C2×C8C2×D4×C10711yescharacteristic
572C2×C8C2×D4×C10711yescharacteristic
573C2×C8C2×D4×C10711yescharacteristic
574C4⋊C4—21no—
575C4⋊C4—21no—
576C4⋊C4—41no—
577C4⋊C4C2×D4×C10711yescharacteristic
578C4⋊C4C2×D4×C10711yescharacteristic
579C4⋊C4C2×D4×C10711yescharacteristic
580C4⋊C4C2×D4×C10711yescharacteristic
581C22⋊C4—21no—
582C22⋊C4—21no—
583C22⋊C4—21no—
584C22⋊C4—21no—
585C22⋊C4—41no—
586C22⋊C4—41no—
587C22⋊C4—41no—
588C22⋊C4—41no—
589C42C24×C10711yescharacteristic
590C23—21no—
591C23—21no—
592C23—21no—
593C23—21no—
594C23—41no—
595C23—41no—
596C23—41no—
597C23—82no—
598C23—82no—
599C23—82no—
600C23—82no—
601C23—82no—
602C23—82no—
603C23—161no—
604C23—161no—
605C23—161no—
606Q8—41no—
607Q8—41no—
608D4—21no—
609D4—21no—
610D4—21no—
611D4—21no—
612D4—21no—
613D4—41no—
614D4—41no—
615D4—41no—
616D4—41no—
617D4—41no—
618D4—41no—
619D4—41no—
620D4—41no—
621D4—41no—
622D4—41no—
623D4—41no—
624D4—41no—
625D4—81no—
626D4—81no—
627D4—81no—
628D4—82no—
629D4—82no—
630D4—82no—
631D4—82no—
632D4—82no—
633D4—82no—
634D4—82no—
635D4C2×D8×C10712yes—
636D4C2×D8×C10712yescomplemented
637D4AGL(1,ℤ/8)×C10712yescomplemented
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—82no—
652C2×C4C22×D4×C10711yescharacteristic
653C2×C4C22×D4×C10711yescharacteristic
654C2×C4H(5,𝔽2)×C10711yescharacteristic
655C8—21no—
656C8—21no—
657C8—21no—
658C8—41no—
659C8—41no—
660C8—41no—
661C8—41no—
662C8—41no—
663C8C2×D8×C10712yescomplemented
664C22—22no—
665C22—22no—
666C22—22no—
667C22—41no—
668C22—41no—
669C22—41no—
670C22—41no—
671C22—41no—
672C22—41no—
673C22—41no—
674C22—41no—
675C22—41no—
676C22—81no—
677C22—81no—
678C22—81no—
679C22—81no—
680C22—81no—
681C22—81no—
682C22—81no—
683C22—81no—
684C22—81no—
685C22—164no—
686C22—164no—
687C22—164no—
688C22D42×C10711yescharacteristic
689C4—21no—
690C4—41no—
691C4—41no—
692C4—41no—
693C4—41no—
694C4—81no—
695C4C22×D8×C10711yescharacteristic
696C4C2×AGL(1,ℤ/8)×C10711yescharacteristic
697C4#576×C10711yescharacteristic
698C4#576×C10711yescharacteristic
699C2—42no—
700C2—42no—
701C2—42no—
702C2—81no—
703C2—161no—
704C2—161no—
705C2—161no—
706C2C107×#326411yescharacteristic
707C2D4×D8×C10711yescharacteristic
708C2C107×#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×#3294C2semidirect
2. D4×D8×C107C2semidirect
3. D4×D8×C107C2semidirect
4. C107×#3272C2semidirect
5. C107×#1721C2semidirect
6. C107×#1687C2semidirect
7. C107×#1681C2semidirect
8. C107×#1667C2semidirect
9. C107×#1665C2semidirect
10. C107×#1639C2semidirect
11. C107×#1625C2semidirect
12. C107×#1619C2semidirect
13. C107×#1619C2semidirect
14. C107×#1581C2semidirect
15. C107×#1580C2semidirect
19. #547×C107C22semidirect
21. D42×C107C22semidirect
22. D42×C107C22semidirect
23. #493×C107C22semidirect
24. #493×C107C22semidirect
25. #493×C107C22semidirect
26. #492×C107C22semidirect
27. #486×C107C22semidirect
28. #486×C107C22semidirect
30. #474×C107C22semidirect
35. #461×C107C22semidirect
38. #459×C107C22semidirect
39. #459×C107C22semidirect
40. #459×C107C22semidirect
41. #459×C107C22semidirect
51. #436×C107C22semidirect
52. C8×D4×C107C22semidirect
53. C8×D4×C107C22semidirect
54. C8×D4×C107C22semidirect
56. #335×C107C22semidirect
57. #334×C107C22semidirect
58. #332×C107C22semidirect
59. #331×C107C22semidirect
60. #331×C107C22semidirect
61. #331×C107C22semidirect
62. D4⋊C8×C107C22semidirect
63. D4⋊C8×C107C22semidirect
64. D4⋊C8×C107C22semidirect
65. D4⋊C8×C107C22semidirect
66. #322×C107C22semidirect
205. D8×C107D8semidirect
281. D4×C107C2×D8semidirect
282. D4×C107AGL(1,ℤ/8)semidirect
308. C8×C107C2×D8semidirect
344. #19755C107direct (N × H)
355. #3294C2×C107semidirect
356. D4×D8C2×C107semidirect
357. D4×D8C2×C107semidirect
358. #3272C2×C107semidirect
359. #1721C2×C107semidirect
360. #1687C2×C107semidirect
361. #1681C2×C107semidirect
362. #1667C2×C107semidirect
363. #1665C2×C107semidirect
364. #1639C2×C107semidirect
365. #1625C2×C107semidirect
366. #1619C2×C107semidirect
367. #1619C2×C107semidirect
368. #1581C2×C107semidirect
369. #1580C2×C107semidirect
370. C107#19755direct (N × H)
374. #547C22×C107semidirect
376. D42C22×C107semidirect
377. D42C22×C107semidirect
378. #493C22×C107semidirect
379. #493C22×C107semidirect
380. #493C22×C107semidirect
381. #492C22×C107semidirect
382. #486C22×C107semidirect
383. #486C22×C107semidirect
385. #474C22×C107semidirect
390. #461C22×C107semidirect
393. #459C22×C107semidirect
394. #459C22×C107semidirect
395. #459C22×C107semidirect
396. #459C22×C107semidirect
406. #436C22×C107semidirect
407. C8×D4C22×C107semidirect
408. C8×D4C22×C107semidirect
409. C8×D4C22×C107semidirect
411. #335C22×C107semidirect
412. #334C22×C107semidirect
413. #332C22×C107semidirect
414. #331C22×C107semidirect
415. #331C22×C107semidirect
416. #331C22×C107semidirect
417. D4⋊C8C22×C107semidirect
418. D4⋊C8C22×C107semidirect
419. D4⋊C8C22×C107semidirect
420. D4⋊C8C22×C107semidirect
421. #322C22×C107semidirect
560. D8D8×C107semidirect
636. D4C2×D8×C107semidirect
637. D4AGL(1,ℤ/8)×C107semidirect
663. C8C2×D8×C107semidirect

Maximal subgroups

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

subgroupindex
C107×#32942
D4×D8×C1072
C107×#32722
C107×#17212
C107×#16872
C107×#16812
C107×#16672
C107×#16652
C107×#16392
C107×#16252
C107×#16192
C107×#15812
C107×#15802
#19755107