Finite Group Databasebeta

← C109×#18450 #42136444

Subgroups — C109×#18450 #42136444

Order 27904.

1096 conjugacy classes of subgroups.

The subgroup lattice has 744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C109×#3537C211yesmaximal, characteristic, complemented
2C109×#3194C211yesmaximal, characteristic, complemented
3C109×#3186C211yesmaximal, characteristic, complemented
4C109×#2815C211yesmaximal, characteristic, complemented
5C109×#1612C212yesmaximal, complemented
6C109×#1607C212yesmaximal, complemented
7C109×#1600C212yesmaximal, complemented
8C109×#1595C212yesmaximal, complemented
9C109×#1516C211yesmaximal, characteristic, complemented
10C109×#1510C211yesmaximal, characteristic, complemented
11C109×#1471C211yesmaximal, characteristic, complemented
12#560×C109—22no—
13#553×C109—21no—
14#553×C109—21no—
15D42×C109—22no—
16D42×C109—21no—
17D42×C109—21no—
18#540×C109—21no—
19#538×C109—21no—
20#538×C109C2212yes—
21#535×C109—21no—
22#534×C109—21no—
23#534×C109C2212yes—
24#525×C109C2211yescharacteristic
25C2×#121×C109C2211yescharacteristic
26C2×#121×C109C2211yescharacteristic
27C2×#121×C109C2211yescharacteristic, complemented
28#483×C109C2211yescharacteristic, complemented
29#482×C109—21no—
30#480×C109—21no—
31#480×C109C2211yescharacteristic, complemented
32#480×C109C2212yescomplemented
33#469×C109—21no—
34#468×C109—21no—
35#466×C109—22no—
36#450×C109C2211yescharacteristic, complemented
37#449×C109—21no—
38#447×C109—21no—
39#447×C109C2211yescharacteristic, complemented
40#447×C109C2212yescomplemented
41#407×C109C2211yescharacteristic, complemented
42C2×C22⋊C8×C109C2211yescharacteristic, complemented
43#397×C109—21no—
44#397×C109C2212yescomplemented
45#392×C109—21no—
46#392×C109—22no—
47#392×C109C2212yescomplemented
48#381×C109C2211yescharacteristic, complemented
49#328×C109C2212yescomplemented
50#327×C109C2212yescomplemented
51#327×C109C2212yescomplemented
52#327×C109C2212yescomplemented
53#323×C109C2212yescomplemented
54#323×C109C2212yescomplemented
55C2×#41×C109D411yescharacteristic, complemented
56C22×D4×C109—22no—
57C22×D4×C109—21no—
58C22×D4×C109—21no—
59C22×D4×C109—22no—
60C22×D4×C109—21no—
61C22×D4×C109—22no—
62C22×D4×C109D412yes—
63C22×D4×C109D411yescharacteristic
64C22×D4×C109D411yescharacteristic, complemented
65C22×D4×C109C2311yescharacteristic
66C23×C4×C109C2311yescharacteristic
67C2×SD16×C109—21no—
68C2×D8×C109—22no—
69C2×D8×C109—21no—
70C2×M16×C109—21no—
71C22×C8×C109—21no—
72#127×C109—22no—
73#127×C109—21no—
74#126×C109—22no—
75#126×C109—22no—
76#125×C109—21no—
77#124×C109—22no—
78#123×C109—22no—
79#123×C109—21no—
80#123×C109—22no—
81#123×C109—22no—
82#123×C109—22no—
83C22⋊Q8×C109D411yescharacteristic, complemented
84C22⋊Q8×C109C2311yescharacteristic
85#121×C109—22no—
86#121×C109—21no—
87#121×C109—21no—
88#121×C109—22no—
89#121×C109—22no—
90#121×C109—22no—
91#121×C109—22no—
92#121×C109—21no—
93#121×C109—21no—
94#121×C109—21no—
95#121×C109—21no—
96#121×C109—21no—
97#121×C109—21no—
98#121×C109—22no—
99#121×C109—21no—
100#121×C109—21no—
101#121×C109—21no—
102#121×C109—21no—
103#121×C109D412yescomplemented
104#121×C109D411yescharacteristic, complemented
105#121×C109C2312yes—
106#121×C109C2311yescharacteristic
107#120×C109—22no—
108#120×C109—22no—
109#120×C109—22no—
110#120×C109—21no—
111#120×C109—22no—
112#120×C109—22no—
113#120×C109—22no—
114C4×D4×C109—22no—
115C4×D4×C109—21no—
116C4×D4×C109—21no—
117C4×D4×C109—21no—
118C4×D4×C109—21no—
119C4×D4×C109—22no—
120#117×C109—21no—
121#117×C109D411yescharacteristic, complemented
122C2×C4⋊C4×C109D411yescharacteristic
123C2×C4⋊C4×C109D411yescharacteristic, complemented
124C2×C4⋊C4×C109C2311yescharacteristic
125C2×C22⋊C4×C109—21no—
126C2×C22⋊C4×C109—21no—
127C2×C22⋊C4×C109—21no—
128C2×C22⋊C4×C109—22no—
129C2×C22⋊C4×C109—22no—
130C2×C22⋊C4×C109C2312yes—
131#107×C109—22no—
132#107×C109—21no—
133#106×C109—21no—
134#103×C109—21no—
135#102×C109—22no—
136#102×C109—21no—
137#102×C109—22no—
138#102×C109—21no—
139#102×C109—21no—
140C22⋊C8×C109—21no—
141C22⋊C8×C109—21no—
142C22⋊C8×C109C2311yescharacteristic
143C22⋊C8×C109C2311yescharacteristic
144C22⋊C8×C109C2312yes—
145#95×C109—21no—
146#95×C109—22no—
147#95×C109C2312yes—
148C24×C109—22no—
149C24×C109—21no—
150C24×C109—21no—
151C24×C109C2×D412yes—
152C24×C109C2×D411yescharacteristic
153#41×C109—81no—
154C2×Q8×C109C2×D411yescharacteristic
155C2×D4×C109—22no—
156C2×D4×C109—21no—
157C2×D4×C109—21no—
158C2×D4×C109—22no—
159C2×D4×C109—22no—
160C2×D4×C109—22no—
161C2×D4×C109—22no—
162C2×D4×C109—22no—
163C2×D4×C109—22no—
164C2×D4×C109—21no—
165C2×D4×C109—22no—
166C2×D4×C109—22no—
167C2×D4×C109—21no—
168C2×D4×C109—21no—
169C2×D4×C109—21no—
170C2×D4×C109—21no—
171C2×D4×C109—21no—
172C2×D4×C109—41no—
173C2×D4×C109—41no—
174C2×D4×C109—81no—
175C2×D4×C109—81no—
176C2×D4×C109—82no—
177C2×D4×C109—81no—
178C2×D4×C109—82no—
179C2×D4×C109—82no—
180C2×D4×C109—82no—
181C2×D4×C109—82no—
182C2×D4×C109—82no—
183C2×D4×C109—82no—
184C2×D4×C109—82no—
185C2×D4×C109—82no—
186C2×D4×C109—84no—
187C2×D4×C109C2×D411yescharacteristic
188C2×D4×C109C2×D412yes—
189C22×C4×C109—22no—
190C22×C4×C109—22no—
191C22×C4×C109—21no—
192C22×C4×C109—21no—
193C22×C4×C109—22no—
194C22×C4×C109—21no—
195C22×C4×C109—81no—
196C22×C4×C109C2×D412yes—
197C22×C4×C109C2×D411yescharacteristic
198C22×C4×C109C2×D411yescharacteristic
199C22×C4×C109C2×D411yescharacteristic
200C22×C4×C109C2×D411yescharacteristic
201C22×C4×C109C2×D411yescharacteristic
202C22×C4×C109C2411yescharacteristic
203SD16×C109—81no—
204D8×C109—82no—
205D8×C109—81no—
206M16×C109—81no—
207C2×C8×C109—22no—
208C2×C8×C109—21no—
209C2×C8×C109—21no—
210C2×C8×C109—81no—
211C4⋊C4×C109—22no—
212C4⋊C4×C109—22no—
213C4⋊C4×C109—21no—
214C4⋊C4×C109—21no—
215C4⋊C4×C109—21no—
216C4⋊C4×C109—21no—
217C4⋊C4×C109—21no—
218C4⋊C4×C109—21no—
219C4⋊C4×C109—21no—
220C4⋊C4×C109C2×D411yescharacteristic
221C4⋊C4×C109C2×D412yes—
222C4⋊C4×C109C2×D411yescharacteristic
223C22⋊C4×C109—22no—
224C22⋊C4×C109—22no—
225C22⋊C4×C109—22no—
226C22⋊C4×C109—22no—
227C22⋊C4×C109—22no—
228C22⋊C4×C109—21no—
229C22⋊C4×C109—21no—
230C22⋊C4×C109—21no—
231C22⋊C4×C109—22no—
232C22⋊C4×C109—21no—
233C22⋊C4×C109—22no—
234C22⋊C4×C109—22no—
235C22⋊C4×C109—22no—
236C22⋊C4×C109—21no—
237C22⋊C4×C109—41no—
238C22⋊C4×C109—41no—
239C22⋊C4×C109—82no—
240C22⋊C4×C109—82no—
241C22⋊C4×C109—81no—
242C42×C109—22no—
243C42×C109—21no—
244C23×C109—22no—
245C23×C109—22no—
246C23×C109—22no—
247C23×C109—21no—
248C23×C109—22no—
249C23×C109—22no—
250C23×C109—41no—
251C23×C109—41no—
252C23×C109—42no—
253C23×C109—42no—
254C23×C109—42no—
255C23×C109—41no—
256C23×C109—41no—
257C23×C109—42no—
258C23×C109—41no—
259C23×C109—42no—
260C23×C109—81no—
261C23×C109—81no—
262C23×C109—82no—
263C23×C109—82no—
264C23×C109—82no—
265C23×C109#12011yescharacteristic
266C23×C109#12011yescharacteristic
267C23×C109C22×D411yescharacteristic
268Q8×C109—41no—
269D4×C109—42no—
270D4×C109—41no—
271D4×C109—42no—
272D4×C109—42no—
273D4×C109—42no—
274D4×C109—41no—
275D4×C109—41no—
276D4×C109—44no—
277D4×C109—42no—
278D4×C109—42no—
279D4×C109—42no—
280D4×C109—42no—
281D4×C109—81no—
282D4×C109—82no—
283D4×C109—82no—
284D4×C109—81no—
285D4×C109—82no—
286D4×C109—82no—
287D4×C109—82no—
288D4×C109—82no—
289D4×C109—82no—
290D4×C109—82no—
291D4×C109—82no—
292D4×C109—88no—
293C2×C4×C109—21no—
294C2×C4×C109—22no—
295C2×C4×C109—22no—
296C2×C4×C109—21no—
297C2×C4×C109—21no—
298C2×C4×C109—41no—
299C2×C4×C109—41no—
300C2×C4×C109—41no—
301C2×C4×C109—41no—
302C2×C4×C109—41no—
303C2×C4×C109—41no—
304C2×C4×C109—42no—
305C2×C4×C109—42no—
306C2×C4×C109—42no—
307C2×C4×C109—42no—
308C2×C4×C109—41no—
309C2×C4×C109—42no—
310C2×C4×C109—42no—
311C2×C4×C109—81no—
312C2×C4×C109—82no—
313C2×C4×C109—82no—
314C2×C4×C109#12011yescharacteristic
315C2×C4×C109#12011yescharacteristic
316C2×C4×C109C22×D411yescharacteristic
317C2×C4×C109C22×D411yescharacteristic
318C8×C109—42no—
319C8×C109—41no—
320C8×C109—41no—
321C22×C109—21no—
322C22×C109—21no—
323C22×C109—21no—
324C22×C109—21no—
325C22×C109—21no—
326C22×C109—21no—
327C22×C109—21no—
328C22×C109—21no—
329C22×C109—42no—
330C22×C109—42no—
331C22×C109—41no—
332C22×C109—42no—
333C22×C109—42no—
334C22×C109—41no—
335C22×C109—41no—
336C22×C109—42no—
337C22×C109—42no—
338C22×C109—82no—
339C22×C109—82no—
340C22×C109—82no—
341C22×C109—82no—
342C22×C109—82no—
343C22×C109—81no—
344C22×C109—81no—
345C22×C109—81no—
346C22×C109—162no—
347C22×C109—164no—
348C22×C109C2×#12011yescharacteristic
349C22×C109#57612yes—
350C4×C109—21no—
351C4×C109—21no—
352C4×C109—21no—
353C4×C109—21no—
354C4×C109—42no—
355C4×C109—41no—
356C4×C109—42no—
357C4×C109—41no—
358C4×C109—41no—
359C4×C109—82no—
360C4×C109—81no—
361#18450C10911yesmaximal, characteristic, direct product factor, Sylow
362C2×C109—22no—
363C2×C109—41no—
364C2×C109—41no—
365C2×C109—82no—
366C2×C109—82no—
367C2×C109—81no—
368C2×C109—161no—
369C2×C109#300811yescharacteristic
370C2×C109#301911yescharacteristic
371C2×C109#302611yescharacteristic
372#3537C2×C10911yescharacteristic, complemented
373#3194C2×C10911yescharacteristic, complemented
374#3186C2×C10911yescharacteristic, complemented
375#2815C2×C10911yescharacteristic, complemented
376#1612C2×C10912yescomplemented
377#1607C2×C10912yescomplemented
378#1600C2×C10912yescomplemented
379#1595C2×C10912yescomplemented
380#1516C2×C10911yescharacteristic, complemented
381#1510C2×C10911yescharacteristic, complemented
382#1471C2×C10911yescharacteristic, complemented
383C109#1845011yescharacteristic, direct product factor, Sylow
384#560—22no—
385#553—21no—
386#553—21no—
387D42—22no—
388D42—21no—
389D42—21no—
390#540—21no—
391#538—21no—
392#538C22×C10912yes—
393#535—21no—
394#534—21no—
395#534C22×C10912yes—
396#525C22×C10911yescharacteristic
397C2×#121C22×C10911yescharacteristic
398C2×#121C22×C10911yescharacteristic
399C2×#121C22×C10911yescharacteristic, complemented
400#483C22×C10911yescharacteristic, complemented
401#482—21no—
402#480—21no—
403#480C22×C10911yescharacteristic, complemented
404#480C22×C10912yescomplemented
405#469—21no—
406#468—21no—
407#466—22no—
408#450C22×C10911yescharacteristic, complemented
409#449—21no—
410#447—21no—
411#447C22×C10911yescharacteristic, complemented
412#447C22×C10912yescomplemented
413#407C22×C10911yescharacteristic, complemented
414C2×C22⋊C8C22×C10911yescharacteristic, complemented
415#397—21no—
416#397C22×C10912yescomplemented
417#392—21no—
418#392—22no—
419#392C22×C10912yescomplemented
420#381C22×C10911yescharacteristic, complemented
421#328C22×C10912yescomplemented
422#327C22×C10912yescomplemented
423#327C22×C10912yescomplemented
424#327C22×C10912yescomplemented
425#323C22×C10912yescomplemented
426#323C22×C10912yescomplemented
427C2×#41D4×C10911yescharacteristic, complemented
428C22×D4—22no—
429C22×D4—21no—
430C22×D4—21no—
431C22×D4—22no—
432C22×D4—21no—
433C22×D4—22no—
434C22×D4D4×C10912yes—
435C22×D4D4×C10911yescharacteristic
436C22×D4D4×C10911yescharacteristic, complemented
437C22×D4C23×C10911yescharacteristic
438C23×C4C23×C10911yescharacteristic
439C2×SD16—21no—
440C2×D8—22no—
441C2×D8—21no—
442C2×M16—21no—
443C22×C8—21no—
444#127—22no—
445#127—21no—
446#126—22no—
447#126—22no—
448#125—21no—
449#124—22no—
450#123—22no—
451#123—21no—
452#123—22no—
453#123—22no—
454#123—22no—
455C22⋊Q8D4×C10911yescharacteristic, complemented
456C22⋊Q8C23×C10911yescharacteristic
457#121—22no—
458#121—21no—
459#121—21no—
460#121—22no—
461#121—22no—
462#121—22no—
463#121—22no—
464#121—21no—
465#121—21no—
466#121—21no—
467#121—21no—
468#121—21no—
469#121—21no—
470#121—22no—
471#121—21no—
472#121—21no—
473#121—21no—
474#121—21no—
475#121D4×C10912yescomplemented
476#121D4×C10911yescharacteristic, complemented
477#121C23×C10912yes—
478#121C23×C10911yescharacteristic
479#120—22no—
480#120—22no—
481#120—22no—
482#120—21no—
483#120—22no—
484#120—22no—
485#120—22no—
486C4×D4—22no—
487C4×D4—21no—
488C4×D4—21no—
489C4×D4—21no—
490C4×D4—21no—
491C4×D4—22no—
492#117—21no—
493#117D4×C10911yescharacteristic, complemented
494C2×C4⋊C4D4×C10911yescharacteristic
495C2×C4⋊C4D4×C10911yescharacteristic, complemented
496C2×C4⋊C4C23×C10911yescharacteristic
497C2×C22⋊C4—21no—
498C2×C22⋊C4—21no—
499C2×C22⋊C4—21no—
500C2×C22⋊C4—22no—
501C2×C22⋊C4—22no—
502C2×C22⋊C4C23×C10912yes—
503#107—22no—
504#107—21no—
505#106—21no—
506#103—21no—
507#102—22no—
508#102—21no—
509#102—22no—
510#102—21no—
511#102—21no—
512C22⋊C8—21no—
513C22⋊C8—21no—
514C22⋊C8C23×C10911yescharacteristic
515C22⋊C8C23×C10911yescharacteristic
516C22⋊C8C23×C10912yes—
517#95—21no—
518#95—22no—
519#95C23×C10912yes—
520C24—22no—
521C24—21no—
522C24—21no—
523C24C2×D4×C10912yes—
524C24C2×D4×C10911yescharacteristic
525#41—81no—
526C2×Q8C2×D4×C10911yescharacteristic
527C2×D4—22no—
528C2×D4—21no—
529C2×D4—21no—
530C2×D4—22no—
531C2×D4—22no—
532C2×D4—22no—
533C2×D4—22no—
534C2×D4—22no—
535C2×D4—22no—
536C2×D4—21no—
537C2×D4—22no—
538C2×D4—22no—
539C2×D4—21no—
540C2×D4—21no—
541C2×D4—21no—
542C2×D4—21no—
543C2×D4—21no—
544C2×D4—41no—
545C2×D4—41no—
546C2×D4—81no—
547C2×D4—81no—
548C2×D4—82no—
549C2×D4—81no—
550C2×D4—82no—
551C2×D4—82no—
552C2×D4—82no—
553C2×D4—82no—
554C2×D4—82no—
555C2×D4—82no—
556C2×D4—82no—
557C2×D4—82no—
558C2×D4—84no—
559C2×D4C2×D4×C10911yescharacteristic
560C2×D4C2×D4×C10912yes—
561C22×C4—22no—
562C22×C4—22no—
563C22×C4—21no—
564C22×C4—21no—
565C22×C4—22no—
566C22×C4—21no—
567C22×C4—81no—
568C22×C4C2×D4×C10912yes—
569C22×C4C2×D4×C10911yescharacteristic
570C22×C4C2×D4×C10911yescharacteristic
571C22×C4C2×D4×C10911yescharacteristic
572C22×C4C2×D4×C10911yescharacteristic
573C22×C4C2×D4×C10911yescharacteristic
574C22×C4C24×C10911yescharacteristic
575SD16—81no—
576D8—82no—
577D8—81no—
578M16—81no—
579C2×C8—22no—
580C2×C8—21no—
581C2×C8—21no—
582C2×C8—81no—
583C4⋊C4—22no—
584C4⋊C4—22no—
585C4⋊C4—21no—
586C4⋊C4—21no—
587C4⋊C4—21no—
588C4⋊C4—21no—
589C4⋊C4—21no—
590C4⋊C4—21no—
591C4⋊C4—21no—
592C4⋊C4C2×D4×C10911yescharacteristic
593C4⋊C4C2×D4×C10912yes—
594C4⋊C4C2×D4×C10911yescharacteristic
595C22⋊C4—22no—
596C22⋊C4—22no—
597C22⋊C4—22no—
598C22⋊C4—22no—
599C22⋊C4—22no—
600C22⋊C4—21no—
601C22⋊C4—21no—
602C22⋊C4—21no—
603C22⋊C4—22no—
604C22⋊C4—21no—
605C22⋊C4—22no—
606C22⋊C4—22no—
607C22⋊C4—22no—
608C22⋊C4—21no—
609C22⋊C4—41no—
610C22⋊C4—41no—
611C22⋊C4—82no—
612C22⋊C4—82no—
613C22⋊C4—81no—
614C42—22no—
615C42—21no—
616C23—22no—
617C23—22no—
618C23—22no—
619C23—21no—
620C23—22no—
621C23—22no—
622C23—41no—
623C23—41no—
624C23—42no—
625C23—42no—
626C23—42no—
627C23—41no—
628C23—41no—
629C23—42no—
630C23—41no—
631C23—42no—
632C23—81no—
633C23—81no—
634C23—82no—
635C23—82no—
636C23—82no—
637C23#120×C10911yescharacteristic
638C23#120×C10911yescharacteristic
639C23C22×D4×C10911yescharacteristic
640Q8—41no—
641D4—42no—
642D4—41no—
643D4—42no—
644D4—42no—
645D4—42no—
646D4—41no—
647D4—41no—
648D4—44no—
649D4—42no—
650D4—42no—
651D4—42no—
652D4—42no—
653D4—81no—
654D4—82no—
655D4—82no—
656D4—81no—
657D4—82no—
658D4—82no—
659D4—82no—
660D4—82no—
661D4—82no—
662D4—82no—
663D4—82no—
664D4—88no—
665C2×C4—21no—
666C2×C4—22no—
667C2×C4—22no—
668C2×C4—21no—
669C2×C4—21no—
670C2×C4—41no—
671C2×C4—41no—
672C2×C4—41no—
673C2×C4—41no—
674C2×C4—41no—
675C2×C4—41no—
676C2×C4—42no—
677C2×C4—42no—
678C2×C4—42no—
679C2×C4—42no—
680C2×C4—41no—
681C2×C4—42no—
682C2×C4—42no—
683C2×C4—81no—
684C2×C4—82no—
685C2×C4—82no—
686C2×C4#120×C10911yescharacteristic
687C2×C4#120×C10911yescharacteristic
688C2×C4C22×D4×C10911yescharacteristic
689C2×C4C22×D4×C10911yescharacteristic
690C8—42no—
691C8—41no—
692C8—41no—
693C22—21no—
694C22—21no—
695C22—21no—
696C22—21no—
697C22—21no—
698C22—21no—
699C22—21no—
700C22—21no—
701C22—42no—
702C22—42no—
703C22—41no—
704C22—42no—
705C22—42no—
706C22—41no—
707C22—41no—
708C22—42no—
709C22—42no—
710C22—82no—
711C22—82no—
712C22—82no—
713C22—82no—
714C22—82no—
715C22—81no—
716C22—81no—
717C22—81no—
718C22—162no—
719C22—164no—
720C22C2×#120×C10911yescharacteristic
721C22#576×C10912yes—
722C4—21no—
723C4—21no—
724C4—21no—
725C4—21no—
726C4—42no—
727C4—41no—
728C4—42no—
729C4—41no—
730C4—41no—
731C4—82no—
732C4—81no—
733C2—22no—
734C2—41no—
735C2—41no—
736C2—82no—
737C2—82no—
738C2—81no—
739C2—161no—
740C2C109×#300811yescharacteristic
741C2C109×#301911yescharacteristic
742C2C109×#302611yescharacteristic
subgroupG/H
center, socleC22×C109C2×#120
commutator, Frattini, cosocleC22×C4C24×C109
LCSG ▷ C22×C4 ▷ C22 ▷ C1
UCSC1 ◁ C22×C109 ◁ C23×C4×C109 ◁ G

Complements

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

NH ≅ G/Ntype
1. C109×#3537C2semidirect
2. C109×#3194C2semidirect
3. C109×#3186C2semidirect
4. C109×#2815C2semidirect
5. C109×#1612C2semidirect
6. C109×#1607C2semidirect
7. C109×#1600C2semidirect
8. C109×#1595C2semidirect
9. C109×#1516C2semidirect
10. C109×#1510C2semidirect
11. C109×#1471C2semidirect
27. C2×#121×C109C22semidirect
28. #483×C109C22semidirect
31. #480×C109C22semidirect
32. #480×C109C22semidirect
36. #450×C109C22semidirect
39. #447×C109C22semidirect
40. #447×C109C22semidirect
41. #407×C109C22semidirect
42. C2×C22⋊C8×C109C22semidirect
44. #397×C109C22semidirect
47. #392×C109C22semidirect
48. #381×C109C22semidirect
49. #328×C109C22semidirect
50. #327×C109C22semidirect
51. #327×C109C22semidirect
52. #327×C109C22semidirect
53. #323×C109C22semidirect
54. #323×C109C22semidirect
55. C2×#41×C109D4semidirect
64. C22×D4×C109D4semidirect
83. C22⋊Q8×C109D4semidirect
103. #121×C109D4semidirect
104. #121×C109D4semidirect
121. #117×C109D4semidirect
123. C2×C4⋊C4×C109D4semidirect
361. #18450C109direct (N × H)
372. #3537C2×C109semidirect
373. #3194C2×C109semidirect
374. #3186C2×C109semidirect
375. #2815C2×C109semidirect
376. #1612C2×C109semidirect
377. #1607C2×C109semidirect
378. #1600C2×C109semidirect
379. #1595C2×C109semidirect
380. #1516C2×C109semidirect
381. #1510C2×C109semidirect
382. #1471C2×C109semidirect
383. C109#18450direct (N × H)
399. C2×#121C22×C109semidirect
400. #483C22×C109semidirect
403. #480C22×C109semidirect
404. #480C22×C109semidirect
408. #450C22×C109semidirect
411. #447C22×C109semidirect
412. #447C22×C109semidirect
413. #407C22×C109semidirect
414. C2×C22⋊C8C22×C109semidirect
416. #397C22×C109semidirect
419. #392C22×C109semidirect
420. #381C22×C109semidirect
421. #328C22×C109semidirect
422. #327C22×C109semidirect
423. #327C22×C109semidirect
424. #327C22×C109semidirect
425. #323C22×C109semidirect
426. #323C22×C109semidirect
427. C2×#41D4×C109semidirect
436. C22×D4D4×C109semidirect
455. C22⋊Q8D4×C109semidirect
475. #121D4×C109semidirect
476. #121D4×C109semidirect
493. #117D4×C109semidirect
495. C2×C4⋊C4D4×C109semidirect

Maximal subgroups

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

subgroupindex
C109×#35372
C109×#31942
C109×#31862
C109×#28152
C109×#16122
C109×#16072
C109×#16002
C109×#15952
C109×#15162
C109×#15102
C109×#14712
#18450109