Finite Group Databasebeta

← C107×#18418 #41044382

Subgroups — C107×#18418 #41044382

Order 27392.

1176 conjugacy classes of subgroups.

The subgroup lattice has 766 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C107×#3537C211yesmaximal, characteristic, complemented
2C107×#3192C211yesmaximal, characteristic, complemented
3C107×#3188C211yesmaximal, characteristic, complemented
4C107×#2656C211yesmaximal, characteristic, complemented
5C107×#1618C212yesmaximal, complemented
6C107×#1613C212yesmaximal, complemented
7C107×#1600C212yesmaximal, complemented
8C107×#1595C212yesmaximal, complemented
9C107×#1504C211yesmaximal, characteristic, complemented
10C2×#327×C107C211yesmaximal, characteristic, complemented
11C107×#1471C211yesmaximal, characteristic, complemented
12#560×C107—22no—
13#553×C107—21no—
14#553×C107—21no—
15D42×C107—22no—
16D42×C107—21no—
17D42×C107—21no—
18#540×C107—21no—
19#538×C107—21no—
20#538×C107C2212yes—
21#535×C107—21no—
22#534×C107—21no—
23#534×C107C2212yes—
24#525×C107C2211yescharacteristic
25C2×#121×C107—22no—
26C2×#121×C107C2211yescharacteristic
27C2×#121×C107C2211yescharacteristic
28C2×#121×C107C2211yescharacteristic, complemented
29#484×C107C2211yescharacteristic, complemented
30#482×C107—21no—
31#481×C107—21no—
32#481×C107C2211yescharacteristic, complemented
33#481×C107C2212yescomplemented
34#469×C107—22no—
35#466×C107—21no—
36#465×C107—21no—
37#450×C107C2211yescharacteristic, complemented
38#449×C107—21no—
39#447×C107—21no—
40#447×C107C2211yescharacteristic, complemented
41#447×C107C2212yescomplemented
42#407×C107C2211yescharacteristic, complemented
43C2×C22⋊C8×C107C2211yescharacteristic, complemented
44#399×C107—21no—
45#399×C107C2212yescomplemented
46#392×C107—21no—
47#392×C107C2212yescomplemented
48C2×#95×C107C2211yescharacteristic, complemented
49#328×C107C2212yescomplemented
50#327×C107C2212yescomplemented
51#327×C107C2212yescomplemented
52#327×C107C2212yescomplemented
53#323×C107C2212yescomplemented
54#323×C107C2212yescomplemented
55C2×#41×C107D411yescharacteristic, complemented
56C22×D4×C107—22no—
57C22×D4×C107—21no—
58C22×D4×C107—21no—
59C22×D4×C107—22no—
60C22×D4×C107—21no—
61C22×D4×C107—22no—
62C22×D4×C107D412yes—
63C22×D4×C107D411yescharacteristic
64C22×D4×C107D411yescharacteristic, complemented
65C22×D4×C107C2311yescharacteristic
66C23×C4×C107—21no—
67C23×C4×C107C2311yescharacteristic
68C2×SD16×C107—21no—
69C2×D8×C107—22no—
70C2×D8×C107—21no—
71C2×M16×C107—21no—
72C22×C8×C107—21no—
73#127×C107—22no—
74#127×C107—21no—
75#126×C107—22no—
76#126×C107—22no—
77#125×C107—21no—
78#124×C107—22no—
79#123×C107—22no—
80#123×C107—21no—
81#123×C107—22no—
82#123×C107—22no—
83#123×C107—22no—
84C22⋊Q8×C107D411yescharacteristic, complemented
85C22⋊Q8×C107C2311yescharacteristic
86#121×C107—22no—
87#121×C107—21no—
88#121×C107—21no—
89#121×C107—22no—
90#121×C107—22no—
91#121×C107—22no—
92#121×C107—22no—
93#121×C107—21no—
94#121×C107—21no—
95#121×C107—21no—
96#121×C107—21no—
97#121×C107—21no—
98#121×C107—21no—
99#121×C107—22no—
100#121×C107—21no—
101#121×C107—21no—
102#121×C107—21no—
103#121×C107—21no—
104#121×C107—48no—
105#121×C107D411yescharacteristic, complemented
106#121×C107D412yescomplemented
107#121×C107C2312yes—
108#121×C107C2311yescharacteristic
109#120×C107—22no—
110#120×C107—22no—
111#120×C107—22no—
112#120×C107—21no—
113#120×C107—22no—
114#120×C107—22no—
115#120×C107—22no—
116C4×D4×C107—22no—
117C4×D4×C107—21no—
118C4×D4×C107—21no—
119C4×D4×C107—21no—
120C4×D4×C107—21no—
121C4×D4×C107—22no—
122#117×C107—21no—
123#117×C107D411yescharacteristic, complemented
124C2×C4⋊C4×C107—22no—
125C2×C4⋊C4×C107D411yescharacteristic
126C2×C4⋊C4×C107D411yescharacteristic, complemented
127C2×C4⋊C4×C107C2311yescharacteristic
128C2×C22⋊C4×C107—21no—
129C2×C22⋊C4×C107—22no—
130C2×C22⋊C4×C107—21no—
131C2×C22⋊C4×C107—22no—
132C2×C22⋊C4×C107C2312yes—
133#107×C107—21no—
134#106×C107—21no—
135#106×C107—22no—
136#103×C107—21no—
137#102×C107—22no—
138#102×C107—21no—
139#102×C107—21no—
140#102×C107—22no—
141#102×C107—21no—
142C22⋊C8×C107—21no—
143C22⋊C8×C107—21no—
144C22⋊C8×C107C2311yescharacteristic
145C22⋊C8×C107C2311yescharacteristic
146C22⋊C8×C107C2312yes—
147#95×C107—21no—
148#95×C107C2312yes—
149C24×C107—22no—
150C24×C107—21no—
151C24×C107—21no—
152C24×C107C2×D411yescharacteristic
153C24×C107C2×D412yes—
154#41×C107—81no—
155C2×Q8×C107C2×D411yescharacteristic
156C2×D4×C107—22no—
157C2×D4×C107—21no—
158C2×D4×C107—21no—
159C2×D4×C107—22no—
160C2×D4×C107—22no—
161C2×D4×C107—22no—
162C2×D4×C107—22no—
163C2×D4×C107—22no—
164C2×D4×C107—22no—
165C2×D4×C107—21no—
166C2×D4×C107—22no—
167C2×D4×C107—22no—
168C2×D4×C107—21no—
169C2×D4×C107—21no—
170C2×D4×C107—21no—
171C2×D4×C107—21no—
172C2×D4×C107—21no—
173C2×D4×C107—44no—
174C2×D4×C107—44no—
175C2×D4×C107—44no—
176C2×D4×C107—41no—
177C2×D4×C107—41no—
178C2×D4×C107—81no—
179C2×D4×C107—81no—
180C2×D4×C107—82no—
181C2×D4×C107—81no—
182C2×D4×C107—82no—
183C2×D4×C107—82no—
184C2×D4×C107—81no—
185C2×D4×C107—81no—
186C2×D4×C107—82no—
187C2×D4×C107—82no—
188C2×D4×C107—84no—
189C2×D4×C107C2×D411yescharacteristic
190C2×D4×C107C2×D412yes—
191C22×C4×C107—22no—
192C22×C4×C107—22no—
193C22×C4×C107—22no—
194C22×C4×C107—24no—
195C22×C4×C107—21no—
196C22×C4×C107—21no—
197C22×C4×C107—21no—
198C22×C4×C107—81no—
199C22×C4×C107—81no—
200C22×C4×C107—81no—
201C22×C4×C107C2×D412yes—
202C22×C4×C107C2×D411yescharacteristic
203C22×C4×C107C2×D411yescharacteristic
204C22×C4×C107C2×D411yescharacteristic
205C22×C4×C107C2×D411yescharacteristic
206C22×C4×C107C2×D411yescharacteristic
207C22×C4×C107C2411yescharacteristic
208SD16×C107—81no—
209D8×C107—81no—
210D8×C107—82no—
211M16×C107—81no—
212C2×C8×C107—21no—
213C2×C8×C107—22no—
214C2×C8×C107—21no—
215C2×C8×C107—81no—
216C4⋊C4×C107—22no—
217C4⋊C4×C107—22no—
218C4⋊C4×C107—21no—
219C4⋊C4×C107—21no—
220C4⋊C4×C107—21no—
221C4⋊C4×C107—21no—
222C4⋊C4×C107—21no—
223C4⋊C4×C107—21no—
224C4⋊C4×C107—21no—
225C4⋊C4×C107—44no—
226C4⋊C4×C107C2×D412yes—
227C4⋊C4×C107C2×D411yescharacteristic
228C4⋊C4×C107C2×D411yescharacteristic
229C22⋊C4×C107—22no—
230C22⋊C4×C107—22no—
231C22⋊C4×C107—22no—
232C22⋊C4×C107—22no—
233C22⋊C4×C107—22no—
234C22⋊C4×C107—21no—
235C22⋊C4×C107—21no—
236C22⋊C4×C107—21no—
237C22⋊C4×C107—22no—
238C22⋊C4×C107—21no—
239C22⋊C4×C107—22no—
240C22⋊C4×C107—22no—
241C22⋊C4×C107—22no—
242C22⋊C4×C107—21no—
243C22⋊C4×C107—44no—
244C22⋊C4×C107—44no—
245C22⋊C4×C107—41no—
246C22⋊C4×C107—41no—
247C42×C107—22no—
248C42×C107—21no—
249C23×C107—21no—
250C23×C107—21no—
251C23×C107—22no—
252C23×C107—22no—
253C23×C107—22no—
254C23×C107—21no—
255C23×C107—22no—
256C23×C107—22no—
257C23×C107—41no—
258C23×C107—42no—
259C23×C107—42no—
260C23×C107—42no—
261C23×C107—42no—
262C23×C107—42no—
263C23×C107—41no—
264C23×C107—41no—
265C23×C107—41no—
266C23×C107—81no—
267C23×C107—81no—
268C23×C107—82no—
269C23×C107—82no—
270C23×C107—82no—
271C23×C107#12011yescharacteristic
272C23×C107#12011yescharacteristic
273C23×C107C22×D411yescharacteristic
274Q8×C107—41no—
275D4×C107—42no—
276D4×C107—41no—
277D4×C107—42no—
278D4×C107—42no—
279D4×C107—42no—
280D4×C107—41no—
281D4×C107—41no—
282D4×C107—42no—
283D4×C107—41no—
284D4×C107—42no—
285D4×C107—41no—
286D4×C107—44no—
287D4×C107—42no—
288D4×C107—81no—
289D4×C107—82no—
290D4×C107—82no—
291D4×C107—81no—
292D4×C107—82no—
293D4×C107—82no—
294D4×C107—82no—
295D4×C107—82no—
296D4×C107—82no—
297D4×C107—88no—
298D4×C107—82no—
299D4×C107—82no—
300C2×C4×C107—24no—
301C2×C4×C107—21no—
302C2×C4×C107—22no—
303C2×C4×C107—22no—
304C2×C4×C107—21no—
305C2×C4×C107—21no—
306C2×C4×C107—41no—
307C2×C4×C107—41no—
308C2×C4×C107—41no—
309C2×C4×C107—41no—
310C2×C4×C107—41no—
311C2×C4×C107—41no—
312C2×C4×C107—42no—
313C2×C4×C107—42no—
314C2×C4×C107—42no—
315C2×C4×C107—42no—
316C2×C4×C107—42no—
317C2×C4×C107—41no—
318C2×C4×C107—81no—
319C2×C4×C107—84no—
320C2×C4×C107—82no—
321C2×C4×C107—82no—
322C2×C4×C107#12011yescharacteristic
323C2×C4×C107#12011yescharacteristic
324C2×C4×C107C22×D411yescharacteristic
325C2×C4×C107C22×D411yescharacteristic
326C8×C107—41no—
327C8×C107—41no—
328C8×C107—42no—
329C22×C107—21no—
330C22×C107—21no—
331C22×C107—21no—
332C22×C107—21no—
333C22×C107—21no—
334C22×C107—21no—
335C22×C107—21no—
336C22×C107—42no—
337C22×C107—42no—
338C22×C107—42no—
339C22×C107—42no—
340C22×C107—41no—
341C22×C107—42no—
342C22×C107—42no—
343C22×C107—41no—
344C22×C107—41no—
345C22×C107—42no—
346C22×C107—42no—
347C22×C107—82no—
348C22×C107—82no—
349C22×C107—82no—
350C22×C107—82no—
351C22×C107—81no—
352C22×C107—81no—
353C22×C107—81no—
354C22×C107—162no—
355C22×C107—164no—
356C22×C107#45312yes—
357C22×C107C2×#12011yescharacteristic
358C22×C107#57611yescharacteristic
359C22×C107#57711yescharacteristic
360C4×C107—21no—
361C4×C107—21no—
362C4×C107—21no—
363C4×C107—21no—
364C4×C107—44no—
365C4×C107—42no—
366C4×C107—41no—
367C4×C107—42no—
368C4×C107—41no—
369C4×C107—41no—
370C4×C107—81no—
371#18418C10711yesmaximal, characteristic, direct product factor, Sylow
372C2×C107—21no—
373C2×C107—21no—
374C2×C107—22no—
375C2×C107—41no—
376C2×C107—82no—
377C2×C107—82no—
378C2×C107—81no—
379C2×C107—161no—
380C2×C107#301211yescharacteristic
381C2×C107C2×#45311yescharacteristic
382C2×C107#302611yescharacteristic
383#3537C2×C10711yescharacteristic, complemented
384#3192C2×C10711yescharacteristic, complemented
385#3188C2×C10711yescharacteristic, complemented
386#2656C2×C10711yescharacteristic, complemented
387#1618C2×C10712yescomplemented
388#1613C2×C10712yescomplemented
389#1600C2×C10712yescomplemented
390#1595C2×C10712yescomplemented
391#1504C2×C10711yescharacteristic, complemented
392C2×#327C2×C10711yescharacteristic, complemented
393#1471C2×C10711yescharacteristic, complemented
394C107#1841811yescharacteristic, direct product factor, Sylow
395#560—22no—
396#553—21no—
397#553—21no—
398D42—22no—
399D42—21no—
400D42—21no—
401#540—21no—
402#538—21no—
403#538C22×C10712yes—
404#535—21no—
405#534—21no—
406#534C22×C10712yes—
407#525C22×C10711yescharacteristic
408C2×#121—22no—
409C2×#121C22×C10711yescharacteristic
410C2×#121C22×C10711yescharacteristic
411C2×#121C22×C10711yescharacteristic, complemented
412#484C22×C10711yescharacteristic, complemented
413#482—21no—
414#481—21no—
415#481C22×C10711yescharacteristic, complemented
416#481C22×C10712yescomplemented
417#469—22no—
418#466—21no—
419#465—21no—
420#450C22×C10711yescharacteristic, complemented
421#449—21no—
422#447—21no—
423#447C22×C10711yescharacteristic, complemented
424#447C22×C10712yescomplemented
425#407C22×C10711yescharacteristic, complemented
426C2×C22⋊C8C22×C10711yescharacteristic, complemented
427#399—21no—
428#399C22×C10712yescomplemented
429#392—21no—
430#392C22×C10712yescomplemented
431C2×#95C22×C10711yescharacteristic, complemented
432#328C22×C10712yescomplemented
433#327C22×C10712yescomplemented
434#327C22×C10712yescomplemented
435#327C22×C10712yescomplemented
436#323C22×C10712yescomplemented
437#323C22×C10712yescomplemented
438C2×#41D4×C10711yescharacteristic, complemented
439C22×D4—22no—
440C22×D4—21no—
441C22×D4—21no—
442C22×D4—22no—
443C22×D4—21no—
444C22×D4—22no—
445C22×D4D4×C10712yes—
446C22×D4D4×C10711yescharacteristic
447C22×D4D4×C10711yescharacteristic, complemented
448C22×D4C23×C10711yescharacteristic
449C23×C4—21no—
450C23×C4C23×C10711yescharacteristic
451C2×SD16—21no—
452C2×D8—22no—
453C2×D8—21no—
454C2×M16—21no—
455C22×C8—21no—
456#127—22no—
457#127—21no—
458#126—22no—
459#126—22no—
460#125—21no—
461#124—22no—
462#123—22no—
463#123—21no—
464#123—22no—
465#123—22no—
466#123—22no—
467C22⋊Q8D4×C10711yescharacteristic, complemented
468C22⋊Q8C23×C10711yescharacteristic
469#121—22no—
470#121—21no—
471#121—21no—
472#121—22no—
473#121—22no—
474#121—22no—
475#121—22no—
476#121—21no—
477#121—21no—
478#121—21no—
479#121—21no—
480#121—21no—
481#121—21no—
482#121—22no—
483#121—21no—
484#121—21no—
485#121—21no—
486#121—21no—
487#121—48no—
488#121D4×C10712yescomplemented
489#121D4×C10711yescharacteristic, complemented
490#121C23×C10712yes—
491#121C23×C10711yescharacteristic
492#120—22no—
493#120—22no—
494#120—22no—
495#120—21no—
496#120—22no—
497#120—22no—
498#120—22no—
499C4×D4—22no—
500C4×D4—21no—
501C4×D4—21no—
502C4×D4—21no—
503C4×D4—21no—
504C4×D4—22no—
505#117—21no—
506#117D4×C10711yescharacteristic, complemented
507C2×C4⋊C4—22no—
508C2×C4⋊C4D4×C10711yescharacteristic
509C2×C4⋊C4D4×C10711yescharacteristic, complemented
510C2×C4⋊C4C23×C10711yescharacteristic
511C2×C22⋊C4—21no—
512C2×C22⋊C4—22no—
513C2×C22⋊C4—22no—
514C2×C22⋊C4—21no—
515C2×C22⋊C4C23×C10712yes—
516#107—21no—
517#106—21no—
518#106—22no—
519#103—21no—
520#102—22no—
521#102—21no—
522#102—21no—
523#102—22no—
524#102—21no—
525C22⋊C8—21no—
526C22⋊C8—21no—
527C22⋊C8C23×C10711yescharacteristic
528C22⋊C8C23×C10711yescharacteristic
529C22⋊C8C23×C10712yes—
530#95—21no—
531#95C23×C10712yes—
532C24—22no—
533C24—21no—
534C24—21no—
535C24C2×D4×C10711yescharacteristic
536C24C2×D4×C10712yes—
537#41—81no—
538C2×Q8C2×D4×C10711yescharacteristic
539C2×D4—22no—
540C2×D4—21no—
541C2×D4—21no—
542C2×D4—22no—
543C2×D4—22no—
544C2×D4—22no—
545C2×D4—22no—
546C2×D4—22no—
547C2×D4—22no—
548C2×D4—21no—
549C2×D4—22no—
550C2×D4—22no—
551C2×D4—21no—
552C2×D4—21no—
553C2×D4—21no—
554C2×D4—21no—
555C2×D4—21no—
556C2×D4—44no—
557C2×D4—44no—
558C2×D4—44no—
559C2×D4—41no—
560C2×D4—41no—
561C2×D4—81no—
562C2×D4—81no—
563C2×D4—82no—
564C2×D4—81no—
565C2×D4—82no—
566C2×D4—82no—
567C2×D4—81no—
568C2×D4—81no—
569C2×D4—82no—
570C2×D4—82no—
571C2×D4—84no—
572C2×D4C2×D4×C10711yescharacteristic
573C2×D4C2×D4×C10712yes—
574C22×C4—22no—
575C22×C4—22no—
576C22×C4—22no—
577C22×C4—24no—
578C22×C4—21no—
579C22×C4—21no—
580C22×C4—21no—
581C22×C4—81no—
582C22×C4—81no—
583C22×C4—81no—
584C22×C4C2×D4×C10712yes—
585C22×C4C2×D4×C10711yescharacteristic
586C22×C4C2×D4×C10711yescharacteristic
587C22×C4C2×D4×C10711yescharacteristic
588C22×C4C2×D4×C10711yescharacteristic
589C22×C4C2×D4×C10711yescharacteristic
590C22×C4C24×C10711yescharacteristic
591SD16—81no—
592D8—81no—
593D8—82no—
594M16—81no—
595C2×C8—21no—
596C2×C8—22no—
597C2×C8—21no—
598C2×C8—81no—
599C4⋊C4—22no—
600C4⋊C4—22no—
601C4⋊C4—21no—
602C4⋊C4—21no—
603C4⋊C4—21no—
604C4⋊C4—21no—
605C4⋊C4—21no—
606C4⋊C4—21no—
607C4⋊C4—21no—
608C4⋊C4—44no—
609C4⋊C4C2×D4×C10712yes—
610C4⋊C4C2×D4×C10711yescharacteristic
611C4⋊C4C2×D4×C10711yescharacteristic
612C22⋊C4—22no—
613C22⋊C4—22no—
614C22⋊C4—22no—
615C22⋊C4—22no—
616C22⋊C4—22no—
617C22⋊C4—21no—
618C22⋊C4—21no—
619C22⋊C4—21no—
620C22⋊C4—22no—
621C22⋊C4—21no—
622C22⋊C4—22no—
623C22⋊C4—22no—
624C22⋊C4—22no—
625C22⋊C4—21no—
626C22⋊C4—44no—
627C22⋊C4—44no—
628C22⋊C4—41no—
629C22⋊C4—41no—
630C42—22no—
631C42—21no—
632C23—22no—
633C23—21no—
634C23—21no—
635C23—22no—
636C23—22no—
637C23—21no—
638C23—22no—
639C23—22no—
640C23—41no—
641C23—42no—
642C23—42no—
643C23—42no—
644C23—42no—
645C23—42no—
646C23—41no—
647C23—41no—
648C23—41no—
649C23—81no—
650C23—81no—
651C23—82no—
652C23—82no—
653C23—82no—
654C23#120×C10711yescharacteristic
655C23#120×C10711yescharacteristic
656C23C22×D4×C10711yescharacteristic
657Q8—41no—
658D4—42no—
659D4—41no—
660D4—42no—
661D4—42no—
662D4—42no—
663D4—41no—
664D4—41no—
665D4—44no—
666D4—42no—
667D4—42no—
668D4—41no—
669D4—42no—
670D4—41no—
671D4—81no—
672D4—82no—
673D4—82no—
674D4—81no—
675D4—82no—
676D4—82no—
677D4—82no—
678D4—82no—
679D4—82no—
680D4—88no—
681D4—82no—
682D4—82no—
683C2×C4—24no—
684C2×C4—21no—
685C2×C4—22no—
686C2×C4—22no—
687C2×C4—21no—
688C2×C4—21no—
689C2×C4—41no—
690C2×C4—41no—
691C2×C4—41no—
692C2×C4—41no—
693C2×C4—41no—
694C2×C4—41no—
695C2×C4—42no—
696C2×C4—42no—
697C2×C4—42no—
698C2×C4—42no—
699C2×C4—42no—
700C2×C4—41no—
701C2×C4—81no—
702C2×C4—84no—
703C2×C4—82no—
704C2×C4—82no—
705C2×C4#120×C10711yescharacteristic
706C2×C4#120×C10711yescharacteristic
707C2×C4C22×D4×C10711yescharacteristic
708C2×C4C22×D4×C10711yescharacteristic
709C8—41no—
710C8—41no—
711C8—42no—
712C22—21no—
713C22—21no—
714C22—21no—
715C22—21no—
716C22—21no—
717C22—21no—
718C22—21no—
719C22—42no—
720C22—42no—
721C22—42no—
722C22—42no—
723C22—41no—
724C22—42no—
725C22—42no—
726C22—41no—
727C22—41no—
728C22—42no—
729C22—42no—
730C22—82no—
731C22—82no—
732C22—82no—
733C22—82no—
734C22—81no—
735C22—81no—
736C22—81no—
737C22—162no—
738C22—164no—
739C22#453×C10712yes—
740C22C2×#120×C10711yescharacteristic
741C22#576×C10711yescharacteristic
742C22#577×C10711yescharacteristic
743C4—21no—
744C4—21no—
745C4—21no—
746C4—21no—
747C4—44no—
748C4—42no—
749C4—41no—
750C4—42no—
751C4—41no—
752C4—41no—
753C4—81no—
754C2—21no—
755C2—21no—
756C2—22no—
757C2—41no—
758C2—82no—
759C2—82no—
760C2—81no—
761C2—161no—
762C2C107×#301211yescharacteristic
763C2C2×#453×C10711yescharacteristic
764C2C107×#302611yescharacteristic
subgroupG/H
center, socleC22×C107C2×#120
commutator, Frattini, cosocleC22×C4C24×C107
LCSG ▷ C22×C4 ▷ C22 ▷ C1
UCSC1 ◁ C22×C107 ◁ C23×C4×C107 ◁ G

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C107×#3537C2semidirect
2. C107×#3192C2semidirect
3. C107×#3188C2semidirect
4. C107×#2656C2semidirect
5. C107×#1618C2semidirect
6. C107×#1613C2semidirect
7. C107×#1600C2semidirect
8. C107×#1595C2semidirect
9. C107×#1504C2semidirect
10. C2×#327×C107C2semidirect
11. C107×#1471C2semidirect
28. C2×#121×C107C22semidirect
29. #484×C107C22semidirect
32. #481×C107C22semidirect
33. #481×C107C22semidirect
37. #450×C107C22semidirect
40. #447×C107C22semidirect
41. #447×C107C22semidirect
42. #407×C107C22semidirect
43. C2×C22⋊C8×C107C22semidirect
45. #399×C107C22semidirect
47. #392×C107C22semidirect
48. C2×#95×C107C22semidirect
49. #328×C107C22semidirect
50. #327×C107C22semidirect
51. #327×C107C22semidirect
52. #327×C107C22semidirect
53. #323×C107C22semidirect
54. #323×C107C22semidirect
55. C2×#41×C107D4semidirect
64. C22×D4×C107D4semidirect
84. C22⋊Q8×C107D4semidirect
105. #121×C107D4semidirect
106. #121×C107D4semidirect
123. #117×C107D4semidirect
126. C2×C4⋊C4×C107D4semidirect
371. #18418C107direct (N × H)
383. #3537C2×C107semidirect
384. #3192C2×C107semidirect
385. #3188C2×C107semidirect
386. #2656C2×C107semidirect
387. #1618C2×C107semidirect
388. #1613C2×C107semidirect
389. #1600C2×C107semidirect
390. #1595C2×C107semidirect
391. #1504C2×C107semidirect
392. C2×#327C2×C107semidirect
393. #1471C2×C107semidirect
394. C107#18418direct (N × H)
411. C2×#121C22×C107semidirect
412. #484C22×C107semidirect
415. #481C22×C107semidirect
416. #481C22×C107semidirect
420. #450C22×C107semidirect
423. #447C22×C107semidirect
424. #447C22×C107semidirect
425. #407C22×C107semidirect
426. C2×C22⋊C8C22×C107semidirect
428. #399C22×C107semidirect
430. #392C22×C107semidirect
431. C2×#95C22×C107semidirect
432. #328C22×C107semidirect
433. #327C22×C107semidirect
434. #327C22×C107semidirect
435. #327C22×C107semidirect
436. #323C22×C107semidirect
437. #323C22×C107semidirect
438. C2×#41D4×C107semidirect
447. C22×D4D4×C107semidirect
467. C22⋊Q8D4×C107semidirect
488. #121D4×C107semidirect
489. #121D4×C107semidirect
506. #117D4×C107semidirect
509. C2×C4⋊C4D4×C107semidirect

Maximal subgroups

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

subgroupindex
C107×#35372
C107×#31922
C107×#31882
C107×#26562
C107×#16182
C107×#16132
C107×#16002
C107×#15952
C107×#15042
C2×#327×C1072
C107×#14712
#18418107