Finite Group Databasebeta

← C107×#18254 #41044218

Subgroups — C107×#18254 #41044218

Order 27392.

1508 conjugacy classes of subgroups.

The subgroup lattice has 734 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C107×#3537C211yesmaximal, characteristic, complemented
2C107×#3003C211yesmaximal, characteristic, complemented
3C2×#447×C107C211yesmaximal, characteristic, complemented
4C107×#2433C211yesmaximal, characteristic, complemented
5C107×#1600C214yesmaximal, complemented
6C107×#1595C214yesmaximal, complemented
7C107×#1507C211yesmaximal, characteristic, complemented
8C107×#1501C211yesmaximal, characteristic, complemented
9C107×#1471C211yesmaximal, characteristic, complemented
10C23×D4×C107C2211yescharacteristic, complemented
11C2×AGL(1,ℤ/8)×C107—21no—
12C22×D8×C107—21no—
13#560×C107—22no—
14#553×C107—21no—
15#553×C107—21no—
16D42×C107—22no—
17D42×C107—21no—
18D42×C107—21no—
19#540×C107—21no—
20#538×C107—21no—
21#538×C107C2212yescomplemented
22#535×C107—21no—
23#534×C107—21no—
24#534×C107C2212yescomplemented
25C2×#127×C107—21no—
26#525×C107C2211yescharacteristic
27C2×#121×C107C2211yescharacteristic
28C2×#121×C107C2211yescharacteristic
29C2×#120×C107—22no—
30#450×C107—21no—
31#450×C107C2212yescomplemented
32#447×C107—22no—
33#447×C107—21no—
34#447×C107C2214yescomplemented
35#447×C107C2212yescomplemented
36#418×C107—21no—
37C2×#102×C107—21no—
38#407×C107C2211yescharacteristic, complemented
39C2×C22⋊C8×C107C2211yescharacteristic, complemented
40#392×C107C2214yescomplemented
41#390×C107—21no—
42C4×C22⋊C4×C107C2211yescharacteristic, complemented
43#328×C107C2212yescomplemented
44#327×C107C2212yescomplemented
45#327×C107C2214yescomplemented
46#323×C107C2214yescomplemented
47C25×C107—21no—
48C2×#41×C107D411yescharacteristic, complemented
49C22×D4×C107—22no—
50C22×D4×C107—21no—
51C22×D4×C107—21no—
52C22×D4×C107—22no—
53C22×D4×C107—24no—
54C22×D4×C107—21no—
55C22×D4×C107—21no—
56C22×D4×C107—21no—
57C22×D4×C107—21no—
58C22×D4×C107—21no—
59C22×D4×C107—44no—
60C22×D4×C107D412yes—
61C22×D4×C107D411yescharacteristic
62C22×D4×C107D411yescharacteristic, complemented
63C22×D4×C107C2312yes—
64C23×C4×C107C2311yescharacteristic
65AGL(1,ℤ/8)×C107—44no—
66C2×SD16×C107—22no—
67C2×D8×C107—24no—
68C2×D8×C107—22no—
69C2×D8×C107—44no—
70C2×M16×C107—21no—
71C22×C8×C107—21no—
72#127×C107—22no—
73#127×C107—21no—
74#127×C107—44no—
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×C107D412yescomplemented
101#121×C107D411yescharacteristic, complemented
102#121×C107C2312yes—
103#121×C107C2311yescharacteristic
104#120×C107—22no—
105#120×C107—22no—
106#120×C107—22no—
107#120×C107—21no—
108#120×C107—22no—
109#120×C107—22no—
110#120×C107—22no—
111#120×C107—48no—
112C4×D4×C107—22no—
113C4×D4×C107—21no—
114C4×D4×C107—21no—
115C4×D4×C107—21no—
116C4×D4×C107—21no—
117C4×D4×C107—22no—
118#117×C107—21no—
119#117×C107D411yescharacteristic, complemented
120C2×C4⋊C4×C107D411yescharacteristic
121C2×C4⋊C4×C107D411yescharacteristic, complemented
122C2×C22⋊C4×C107—21no—
123C2×C22⋊C4×C107—21no—
124C2×C22⋊C4×C107—24no—
125C2×C22⋊C4×C107C2312yes—
126C2×C42×C107—21no—
127#102×C107—24no—
128#102×C107—22no—
129#102×C107—22no—
130C22⋊C8×C107—21no—
131C22⋊C8×C107—21no—
132C22⋊C8×C107C2312yes—
133C22⋊C8×C107C2312yes—
134#95×C107C2312yes—
135C24×C107—22no—
136C24×C107—22no—
137C24×C107—21no—
138C24×C107—44no—
139C24×C107—44no—
140C24×C107—41no—
141C24×C107—41no—
142C24×C107—82no—
143C24×C107C2×D411yescharacteristic
144C24×C107C2×D412yes—
145#41×C107—42no—
146C2×Q8×C107C2×D411yescharacteristic
147C2×D4×C107—24no—
148C2×D4×C107—24no—
149C2×D4×C107—24no—
150C2×D4×C107—22no—
151C2×D4×C107—21no—
152C2×D4×C107—21no—
153C2×D4×C107—22no—
154C2×D4×C107—22no—
155C2×D4×C107—22no—
156C2×D4×C107—22no—
157C2×D4×C107—22no—
158C2×D4×C107—22no—
159C2×D4×C107—21no—
160C2×D4×C107—22no—
161C2×D4×C107—22no—
162C2×D4×C107—21no—
163C2×D4×C107—21no—
164C2×D4×C107—21no—
165C2×D4×C107—22no—
166C2×D4×C107—22no—
167C2×D4×C107—42no—
168C2×D4×C107—42no—
169C2×D4×C107—42no—
170C2×D4×C107—42no—
171C2×D4×C107—42no—
172C2×D4×C107—48no—
173C2×D4×C107—44no—
174C2×D4×C107—44no—
175C2×D4×C107—44no—
176C2×D4×C107—44no—
177C2×D4×C107—48no—
178C2×D4×C107—41no—
179C2×D4×C107—41no—
180C2×D4×C107—82no—
181C2×D4×C107—84no—
182C2×D4×C107—82no—
183C2×D4×C107—84no—
184C2×D4×C107—84no—
185C2×D4×C107C2×D411yescharacteristic
186C2×D4×C107C2×D412yes—
187C22×C4×C107—22no—
188C22×C4×C107—22no—
189C22×C4×C107—22no—
190C22×C4×C107—21no—
191C22×C4×C107—21no—
192C22×C4×C107—42no—
193C22×C4×C107C2×D411yescharacteristic
194C22×C4×C107C2×D411yescharacteristic
195C22×C4×C107C2×D411yescharacteristic
196C22×C4×C107C2×D412yes—
197C22×C4×C107C2×D411yescharacteristic
198C22×C4×C107C2×D411yescharacteristic
199C22×C4×C107C2411yescharacteristic
200SD16×C107—44no—
201D8×C107—48no—
202D8×C107—44no—
203M16×C107—42no—
204C2×C8×C107—22no—
205C2×C8×C107—22no—
206C2×C8×C107—42no—
207C4⋊C4×C107—22no—
208C4⋊C4×C107—22no—
209C4⋊C4×C107—21no—
210C4⋊C4×C107—21no—
211C4⋊C4×C107—21no—
212C4⋊C4×C107—21no—
213C4⋊C4×C107—21no—
214C4⋊C4×C107C2×D412yes—
215C4⋊C4×C107C2×D411yescharacteristic
216C4⋊C4×C107C2×D411yescharacteristic
217C22⋊C4×C107—24no—
218C22⋊C4×C107—22no—
219C22⋊C4×C107—22no—
220C22⋊C4×C107—22no—
221C22⋊C4×C107—22no—
222C22⋊C4×C107—22no—
223C22⋊C4×C107—21no—
224C22⋊C4×C107—21no—
225C22⋊C4×C107—21no—
226C22⋊C4×C107—22no—
227C22⋊C4×C107—21no—
228C22⋊C4×C107—22no—
229C22⋊C4×C107—22no—
230C22⋊C4×C107—22no—
231C22⋊C4×C107—21no—
232C22⋊C4×C107—48no—
233C42×C107—22no—
234C42×C107—21no—
235C42×C107—42no—
236C23×C107—22no—
237C23×C107—22no—
238C23×C107—24no—
239C23×C107—22no—
240C23×C107—22no—
241C23×C107—21no—
242C23×C107—24no—
243C23×C107—41no—
244C23×C107—44no—
245C23×C107—44no—
246C23×C107—44no—
247C23×C107—42no—
248C23×C107—42no—
249C23×C107—42no—
250C23×C107—42no—
251C23×C107—44no—
252C23×C107—42no—
253C23×C107—81no—
254C23×C107—81no—
255C23×C107—82no—
256C23×C107—82no—
257C23×C107—82no—
258C23×C107—82no—
259C23×C107—82no—
260C23×C107—82no—
261C23×C107—816no—
262C23×C107—82no—
263C23×C107#12011yescharacteristic
264C23×C107#12011yescharacteristic
265C23×C107C22×D411yescharacteristic
266Q8×C107—41no—
267D4×C107—24no—
268D4×C107—24no—
269D4×C107—42no—
270D4×C107—41no—
271D4×C107—42no—
272D4×C107—42no—
273D4×C107—44no—
274D4×C107—44no—
275D4×C107—42no—
276D4×C107—44no—
277D4×C107—42no—
278D4×C107—44no—
279D4×C107—42no—
280D4×C107—42no—
281D4×C107—81no—
282D4×C107—82no—
283D4×C107—82no—
284D4×C107—81no—
285D4×C107—82no—
286D4×C107—82no—
287D4×C107—82no—
288D4×C107—82no—
289D4×C107—82no—
290D4×C107—816no—
291C2×C4×C107—22no—
292C2×C4×C107—22no—
293C2×C4×C107—22no—
294C2×C4×C107—24no—
295C2×C4×C107—21no—
296C2×C4×C107—22no—
297C2×C4×C107—22no—
298C2×C4×C107—21no—
299C2×C4×C107—21no—
300C2×C4×C107—41no—
301C2×C4×C107—41no—
302C2×C4×C107—41no—
303C2×C4×C107—42no—
304C2×C4×C107—42no—
305C2×C4×C107—42no—
306C2×C4×C107—42no—
307C2×C4×C107—81no—
308C2×C4×C107—82no—
309C2×C4×C107—82no—
310C2×C4×C107#12011yescharacteristic
311C2×C4×C107#12011yescharacteristic
312C2×C4×C107C22×D411yescharacteristic
313C2×C4×C107C22×D411yescharacteristic
314C8×C107—42no—
315C8×C107—42no—
316C22×C107—21no—
317C22×C107—21no—
318C22×C107—21no—
319C22×C107—21no—
320C22×C107—21no—
321C22×C107—21no—
322C22×C107—21no—
323C22×C107—44no—
324C22×C107—48no—
325C22×C107—42no—
326C22×C107—42no—
327C22×C107—41no—
328C22×C107—42no—
329C22×C107—42no—
330C22×C107—41no—
331C22×C107—41no—
332C22×C107—44no—
333C22×C107—42no—
334C22×C107—42no—
335C22×C107—84no—
336C22×C107—84no—
337C22×C107—88no—
338C22×C107—88no—
339C22×C107—82no—
340C22×C107—82no—
341C22×C107—162no—
342C22×C107—164no—
343C22×C107#45312yes—
344C22×C107C2×#12011yescharacteristic
345C22×C107#57612yes—
346C4×C107—21no—
347C4×C107—21no—
348C4×C107—21no—
349C4×C107—44no—
350C4×C107—42no—
351C4×C107—41no—
352C4×C107—42no—
353C4×C107—41no—
354C4×C107—41no—
355C4×C107B(4,𝔽2)12yes—
356#18254C10711yesmaximal, characteristic, direct product factor, Sylow
357C2×C107—22no—
358C2×C107—22no—
359C2×C107—41no—
360C2×C107—84no—
361C2×C107—82no—
362C2×C107—82no—
363C2×C107—81no—
364C2×C107#300811yescharacteristic
365C2×C107C2×#45311yescharacteristic
366C2×C107C2×B(4,𝔽2)11yescharacteristic
367#3537C2×C10711yescharacteristic, complemented
368#3003C2×C10711yescharacteristic, complemented
369C2×#447C2×C10711yescharacteristic, complemented
370#2433C2×C10711yescharacteristic, complemented
371#1600C2×C10714yescomplemented
372#1595C2×C10714yescomplemented
373#1507C2×C10711yescharacteristic, complemented
374#1501C2×C10711yescharacteristic, complemented
375#1471C2×C10711yescharacteristic, complemented
376C107#1825411yescharacteristic, direct product factor, Sylow
377C23×D4C22×C10711yescharacteristic, complemented
378C2×AGL(1,ℤ/8)—21no—
379C22×D8—21no—
380#560—22no—
381#553—21no—
382#553—21no—
383D42—22no—
384D42—21no—
385D42—21no—
386#540—21no—
387#538—21no—
388#538C22×C10712yescomplemented
389#535—21no—
390#534—21no—
391#534C22×C10712yescomplemented
392C2×#127—21no—
393#525C22×C10711yescharacteristic
394C2×#121C22×C10711yescharacteristic
395C2×#121C22×C10711yescharacteristic
396C2×#120—22no—
397#450—21no—
398#450C22×C10712yescomplemented
399#447—22no—
400#447—21no—
401#447C22×C10712yescomplemented
402#447C22×C10714yescomplemented
403#418—21no—
404C2×#102—21no—
405#407C22×C10711yescharacteristic, complemented
406C2×C22⋊C8C22×C10711yescharacteristic, complemented
407#392C22×C10714yescomplemented
408#390—21no—
409C4×C22⋊C4C22×C10711yescharacteristic, complemented
410#328C22×C10712yescomplemented
411#327C22×C10712yescomplemented
412#327C22×C10714yescomplemented
413#323C22×C10714yescomplemented
414C25—21no—
415C2×#41D4×C10711yescharacteristic, complemented
416C22×D4—22no—
417C22×D4—21no—
418C22×D4—21no—
419C22×D4—22no—
420C22×D4—24no—
421C22×D4—21no—
422C22×D4—21no—
423C22×D4—21no—
424C22×D4—21no—
425C22×D4—21no—
426C22×D4—44no—
427C22×D4D4×C10712yes—
428C22×D4D4×C10711yescharacteristic
429C22×D4D4×C10711yescharacteristic, complemented
430C22×D4C23×C10712yes—
431C23×C4C23×C10711yescharacteristic
432AGL(1,ℤ/8)—44no—
433C2×SD16—22no—
434C2×D8—24no—
435C2×D8—22no—
436C2×D8—44no—
437C2×M16—21no—
438C22×C8—21no—
439#127—22no—
440#127—21no—
441#127—44no—
442#126—22no—
443#126—22no—
444#125—21no—
445#124—22no—
446#123—22no—
447#123—21no—
448#123—22no—
449#123—22no—
450#123—22no—
451C22⋊Q8D4×C10711yescharacteristic, complemented
452C22⋊Q8C23×C10711yescharacteristic
453#121—22no—
454#121—21no—
455#121—21no—
456#121—22no—
457#121—22no—
458#121—22no—
459#121—22no—
460#121—21no—
461#121—21no—
462#121—21no—
463#121—21no—
464#121—21no—
465#121—21no—
466#121—22no—
467#121D4×C10712yescomplemented
468#121D4×C10711yescharacteristic, complemented
469#121C23×C10712yes—
470#121C23×C10711yescharacteristic
471#120—22no—
472#120—22no—
473#120—22no—
474#120—21no—
475#120—22no—
476#120—22no—
477#120—22no—
478#120—48no—
479C4×D4—22no—
480C4×D4—21no—
481C4×D4—21no—
482C4×D4—21no—
483C4×D4—21no—
484C4×D4—22no—
485#117—21no—
486#117D4×C10711yescharacteristic, complemented
487C2×C4⋊C4D4×C10711yescharacteristic
488C2×C4⋊C4D4×C10711yescharacteristic, complemented
489C2×C22⋊C4—21no—
490C2×C22⋊C4—21no—
491C2×C22⋊C4—24no—
492C2×C22⋊C4C23×C10712yes—
493C2×C42—21no—
494#102—24no—
495#102—22no—
496#102—22no—
497C22⋊C8—21no—
498C22⋊C8—21no—
499C22⋊C8C23×C10712yes—
500C22⋊C8C23×C10712yes—
501#95C23×C10712yes—
502C24—22no—
503C24—22no—
504C24—21no—
505C24—44no—
506C24—44no—
507C24—41no—
508C24—41no—
509C24—82no—
510C24C2×D4×C10711yescharacteristic
511C24C2×D4×C10712yes—
512#41—42no—
513C2×Q8C2×D4×C10711yescharacteristic
514C2×D4—24no—
515C2×D4—24no—
516C2×D4—24no—
517C2×D4—22no—
518C2×D4—21no—
519C2×D4—21no—
520C2×D4—22no—
521C2×D4—22no—
522C2×D4—22no—
523C2×D4—22no—
524C2×D4—22no—
525C2×D4—22no—
526C2×D4—21no—
527C2×D4—22no—
528C2×D4—22no—
529C2×D4—21no—
530C2×D4—21no—
531C2×D4—21no—
532C2×D4—22no—
533C2×D4—22no—
534C2×D4—42no—
535C2×D4—42no—
536C2×D4—42no—
537C2×D4—42no—
538C2×D4—42no—
539C2×D4—48no—
540C2×D4—44no—
541C2×D4—44no—
542C2×D4—44no—
543C2×D4—44no—
544C2×D4—48no—
545C2×D4—41no—
546C2×D4—41no—
547C2×D4—82no—
548C2×D4—84no—
549C2×D4—82no—
550C2×D4—84no—
551C2×D4—84no—
552C2×D4C2×D4×C10711yescharacteristic
553C2×D4C2×D4×C10712yes—
554C22×C4—22no—
555C22×C4—22no—
556C22×C4—22no—
557C22×C4—21no—
558C22×C4—21no—
559C22×C4—42no—
560C22×C4C2×D4×C10711yescharacteristic
561C22×C4C2×D4×C10711yescharacteristic
562C22×C4C2×D4×C10711yescharacteristic
563C22×C4C2×D4×C10712yes—
564C22×C4C2×D4×C10711yescharacteristic
565C22×C4C2×D4×C10711yescharacteristic
566C22×C4C24×C10711yescharacteristic
567SD16—44no—
568D8—48no—
569D8—44no—
570M16—42no—
571C2×C8—22no—
572C2×C8—22no—
573C2×C8—42no—
574C4⋊C4—22no—
575C4⋊C4—22no—
576C4⋊C4—21no—
577C4⋊C4—21no—
578C4⋊C4—21no—
579C4⋊C4—21no—
580C4⋊C4—21no—
581C4⋊C4C2×D4×C10712yes—
582C4⋊C4C2×D4×C10711yescharacteristic
583C4⋊C4C2×D4×C10711yescharacteristic
584C22⋊C4—24no—
585C22⋊C4—22no—
586C22⋊C4—22no—
587C22⋊C4—22no—
588C22⋊C4—22no—
589C22⋊C4—22no—
590C22⋊C4—21no—
591C22⋊C4—21no—
592C22⋊C4—21no—
593C22⋊C4—22no—
594C22⋊C4—21no—
595C22⋊C4—22no—
596C22⋊C4—22no—
597C22⋊C4—22no—
598C22⋊C4—21no—
599C22⋊C4—48no—
600C42—22no—
601C42—21no—
602C42—42no—
603C23—22no—
604C23—22no—
605C23—24no—
606C23—22no—
607C23—22no—
608C23—21no—
609C23—24no—
610C23—41no—
611C23—44no—
612C23—44no—
613C23—44no—
614C23—42no—
615C23—42no—
616C23—42no—
617C23—42no—
618C23—44no—
619C23—42no—
620C23—81no—
621C23—81no—
622C23—82no—
623C23—82no—
624C23—82no—
625C23—82no—
626C23—82no—
627C23—82no—
628C23—816no—
629C23—82no—
630C23#120×C10711yescharacteristic
631C23#120×C10711yescharacteristic
632C23C22×D4×C10711yescharacteristic
633Q8—41no—
634D4—24no—
635D4—24no—
636D4—42no—
637D4—41no—
638D4—42no—
639D4—42no—
640D4—44no—
641D4—44no—
642D4—42no—
643D4—44no—
644D4—42no—
645D4—44no—
646D4—42no—
647D4—42no—
648D4—81no—
649D4—82no—
650D4—82no—
651D4—81no—
652D4—82no—
653D4—82no—
654D4—82no—
655D4—82no—
656D4—82no—
657D4—816no—
658C2×C4—22no—
659C2×C4—22no—
660C2×C4—22no—
661C2×C4—24no—
662C2×C4—21no—
663C2×C4—22no—
664C2×C4—22no—
665C2×C4—21no—
666C2×C4—21no—
667C2×C4—41no—
668C2×C4—41no—
669C2×C4—41no—
670C2×C4—42no—
671C2×C4—42no—
672C2×C4—42no—
673C2×C4—42no—
674C2×C4—81no—
675C2×C4—82no—
676C2×C4—82no—
677C2×C4#120×C10711yescharacteristic
678C2×C4#120×C10711yescharacteristic
679C2×C4C22×D4×C10711yescharacteristic
680C2×C4C22×D4×C10711yescharacteristic
681C8—42no—
682C8—42no—
683C22—21no—
684C22—21no—
685C22—21no—
686C22—21no—
687C22—21no—
688C22—21no—
689C22—21no—
690C22—44no—
691C22—48no—
692C22—42no—
693C22—42no—
694C22—41no—
695C22—42no—
696C22—42no—
697C22—41no—
698C22—41no—
699C22—44no—
700C22—42no—
701C22—42no—
702C22—84no—
703C22—84no—
704C22—88no—
705C22—88no—
706C22—82no—
707C22—82no—
708C22—162no—
709C22—164no—
710C22#453×C10712yes—
711C22C2×#120×C10711yescharacteristic
712C22#576×C10712yes—
713C4—21no—
714C4—21no—
715C4—21no—
716C4—44no—
717C4—42no—
718C4—41no—
719C4—42no—
720C4—41no—
721C4—41no—
722C4B(4,𝔽2)×C10712yes—
723C2—22no—
724C2—22no—
725C2—41no—
726C2—84no—
727C2—82no—
728C2—82no—
729C2—81no—
730C2C107×#300811yescharacteristic
731C2C2×#453×C10711yescharacteristic
732C2C2×B(4,𝔽2)×C10711yescharacteristic
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×#3003C2semidirect
3. C2×#447×C107C2semidirect
4. C107×#2433C2semidirect
5. C107×#1600C2semidirect
6. C107×#1595C2semidirect
7. C107×#1507C2semidirect
8. C107×#1501C2semidirect
9. C107×#1471C2semidirect
10. C23×D4×C107C22semidirect
21. #538×C107C22semidirect
24. #534×C107C22semidirect
31. #450×C107C22semidirect
34. #447×C107C22semidirect
35. #447×C107C22semidirect
38. #407×C107C22semidirect
39. C2×C22⋊C8×C107C22semidirect
40. #392×C107C22semidirect
42. C4×C22⋊C4×C107C22semidirect
43. #328×C107C22semidirect
44. #327×C107C22semidirect
45. #327×C107C22semidirect
46. #323×C107C22semidirect
48. C2×#41×C107D4semidirect
62. C22×D4×C107D4semidirect
84. C22⋊Q8×C107D4semidirect
100. #121×C107D4semidirect
101. #121×C107D4semidirect
119. #117×C107D4semidirect
121. C2×C4⋊C4×C107D4semidirect
356. #18254C107direct (N × H)
367. #3537C2×C107semidirect
368. #3003C2×C107semidirect
369. C2×#447C2×C107semidirect
370. #2433C2×C107semidirect
371. #1600C2×C107semidirect
372. #1595C2×C107semidirect
373. #1507C2×C107semidirect
374. #1501C2×C107semidirect
375. #1471C2×C107semidirect
376. C107#18254direct (N × H)
377. C23×D4C22×C107semidirect
388. #538C22×C107semidirect
391. #534C22×C107semidirect
398. #450C22×C107semidirect
401. #447C22×C107semidirect
402. #447C22×C107semidirect
405. #407C22×C107semidirect
406. C2×C22⋊C8C22×C107semidirect
407. #392C22×C107semidirect
409. C4×C22⋊C4C22×C107semidirect
410. #328C22×C107semidirect
411. #327C22×C107semidirect
412. #327C22×C107semidirect
413. #323C22×C107semidirect
415. C2×#41D4×C107semidirect
429. C22×D4D4×C107semidirect
451. C22⋊Q8D4×C107semidirect
467. #121D4×C107semidirect
468. #121D4×C107semidirect
486. #117D4×C107semidirect
488. 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×#30032
C2×#447×C1072
C107×#24332
C107×#16002
C107×#15952
C107×#15072
C107×#15012
C107×#14712
#18254107