Finite Group Databasebeta

← C113×#18418 #43286438

Subgroups — C113×#18418 #43286438

Order 28928.

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
1C113×#3537C211yesmaximal, characteristic, complemented
2C113×#3192C211yesmaximal, characteristic, complemented
3C113×#3188C211yesmaximal, characteristic, complemented
4C113×#2656C211yesmaximal, characteristic, complemented
5C113×#1618C212yesmaximal, complemented
6C113×#1613C212yesmaximal, complemented
7C113×#1600C212yesmaximal, complemented
8C113×#1595C212yesmaximal, complemented
9C113×#1504C211yesmaximal, characteristic, complemented
10C2×#327×C113C211yesmaximal, characteristic, complemented
11C113×#1471C211yesmaximal, characteristic, complemented
12#560×C113—22no—
13#553×C113—21no—
14#553×C113—21no—
15D42×C113—22no—
16D42×C113—21no—
17D42×C113—21no—
18#540×C113—21no—
19#538×C113—21no—
20#538×C113C2212yes—
21#535×C113—21no—
22#534×C113—21no—
23#534×C113C2212yes—
24#525×C113C2211yescharacteristic
25C2×#121×C113—22no—
26C2×#121×C113C2211yescharacteristic
27C2×#121×C113C2211yescharacteristic
28C2×#121×C113C2211yescharacteristic, complemented
29#484×C113C2211yescharacteristic, complemented
30#482×C113—21no—
31#481×C113—21no—
32#481×C113C2211yescharacteristic, complemented
33#481×C113C2212yescomplemented
34#469×C113—22no—
35#466×C113—21no—
36#465×C113—21no—
37#450×C113C2211yescharacteristic, complemented
38#449×C113—21no—
39#447×C113—21no—
40#447×C113C2211yescharacteristic, complemented
41#447×C113C2212yescomplemented
42#407×C113C2211yescharacteristic, complemented
43C2×C22⋊C8×C113C2211yescharacteristic, complemented
44#399×C113—21no—
45#399×C113C2212yescomplemented
46#392×C113—21no—
47#392×C113C2212yescomplemented
48C2×#95×C113C2211yescharacteristic, complemented
49#328×C113C2212yescomplemented
50#327×C113C2212yescomplemented
51#327×C113C2212yescomplemented
52#327×C113C2212yescomplemented
53#323×C113C2212yescomplemented
54#323×C113C2212yescomplemented
55C2×#41×C113D411yescharacteristic, complemented
56C22×D4×C113—22no—
57C22×D4×C113—21no—
58C22×D4×C113—21no—
59C22×D4×C113—22no—
60C22×D4×C113—21no—
61C22×D4×C113—22no—
62C22×D4×C113D412yes—
63C22×D4×C113D411yescharacteristic
64C22×D4×C113D411yescharacteristic, complemented
65C22×D4×C113C2311yescharacteristic
66C23×C4×C113—21no—
67C23×C4×C113C2311yescharacteristic
68C2×SD16×C113—21no—
69C2×D8×C113—22no—
70C2×D8×C113—21no—
71C2×M16×C113—21no—
72C22×C8×C113—21no—
73#127×C113—22no—
74#127×C113—21no—
75#126×C113—22no—
76#126×C113—22no—
77#125×C113—21no—
78#124×C113—22no—
79#123×C113—22no—
80#123×C113—21no—
81#123×C113—22no—
82#123×C113—22no—
83#123×C113—22no—
84C22⋊Q8×C113D411yescharacteristic, complemented
85C22⋊Q8×C113C2311yescharacteristic
86#121×C113—22no—
87#121×C113—21no—
88#121×C113—21no—
89#121×C113—22no—
90#121×C113—22no—
91#121×C113—22no—
92#121×C113—22no—
93#121×C113—21no—
94#121×C113—21no—
95#121×C113—21no—
96#121×C113—21no—
97#121×C113—21no—
98#121×C113—21no—
99#121×C113—22no—
100#121×C113—21no—
101#121×C113—21no—
102#121×C113—21no—
103#121×C113—21no—
104#121×C113—48no—
105#121×C113D412yescomplemented
106#121×C113D411yescharacteristic, complemented
107#121×C113C2312yes—
108#121×C113C2311yescharacteristic
109#120×C113—22no—
110#120×C113—22no—
111#120×C113—22no—
112#120×C113—21no—
113#120×C113—22no—
114#120×C113—22no—
115#120×C113—22no—
116C4×D4×C113—22no—
117C4×D4×C113—21no—
118C4×D4×C113—21no—
119C4×D4×C113—21no—
120C4×D4×C113—21no—
121C4×D4×C113—22no—
122#117×C113—21no—
123#117×C113D411yescharacteristic, complemented
124C2×C4⋊C4×C113—22no—
125C2×C4⋊C4×C113D411yescharacteristic
126C2×C4⋊C4×C113D411yescharacteristic, complemented
127C2×C4⋊C4×C113C2311yescharacteristic
128C2×C22⋊C4×C113—21no—
129C2×C22⋊C4×C113—22no—
130C2×C22⋊C4×C113—22no—
131C2×C22⋊C4×C113—21no—
132C2×C22⋊C4×C113C2312yes—
133#107×C113—21no—
134#106×C113—21no—
135#106×C113—22no—
136#103×C113—21no—
137#102×C113—22no—
138#102×C113—21no—
139#102×C113—21no—
140#102×C113—22no—
141#102×C113—21no—
142C22⋊C8×C113—21no—
143C22⋊C8×C113—21no—
144C22⋊C8×C113C2311yescharacteristic
145C22⋊C8×C113C2311yescharacteristic
146C22⋊C8×C113C2312yes—
147#95×C113—21no—
148#95×C113C2312yes—
149C24×C113—22no—
150C24×C113—21no—
151C24×C113—21no—
152C24×C113C2×D411yescharacteristic
153C24×C113C2×D412yes—
154#41×C113—81no—
155C2×Q8×C113C2×D411yescharacteristic
156C2×D4×C113—22no—
157C2×D4×C113—21no—
158C2×D4×C113—21no—
159C2×D4×C113—22no—
160C2×D4×C113—22no—
161C2×D4×C113—22no—
162C2×D4×C113—22no—
163C2×D4×C113—22no—
164C2×D4×C113—22no—
165C2×D4×C113—21no—
166C2×D4×C113—22no—
167C2×D4×C113—22no—
168C2×D4×C113—21no—
169C2×D4×C113—21no—
170C2×D4×C113—21no—
171C2×D4×C113—21no—
172C2×D4×C113—21no—
173C2×D4×C113—44no—
174C2×D4×C113—44no—
175C2×D4×C113—44no—
176C2×D4×C113—41no—
177C2×D4×C113—41no—
178C2×D4×C113—81no—
179C2×D4×C113—81no—
180C2×D4×C113—82no—
181C2×D4×C113—81no—
182C2×D4×C113—82no—
183C2×D4×C113—82no—
184C2×D4×C113—81no—
185C2×D4×C113—81no—
186C2×D4×C113—82no—
187C2×D4×C113—82no—
188C2×D4×C113—84no—
189C2×D4×C113C2×D411yescharacteristic
190C2×D4×C113C2×D412yes—
191C22×C4×C113—22no—
192C22×C4×C113—22no—
193C22×C4×C113—22no—
194C22×C4×C113—24no—
195C22×C4×C113—21no—
196C22×C4×C113—21no—
197C22×C4×C113—21no—
198C22×C4×C113—81no—
199C22×C4×C113—81no—
200C22×C4×C113—81no—
201C22×C4×C113C2×D412yes—
202C22×C4×C113C2×D411yescharacteristic
203C22×C4×C113C2×D411yescharacteristic
204C22×C4×C113C2×D411yescharacteristic
205C22×C4×C113C2×D411yescharacteristic
206C22×C4×C113C2×D411yescharacteristic
207C22×C4×C113C2411yescharacteristic
208SD16×C113—81no—
209D8×C113—81no—
210D8×C113—82no—
211M16×C113—81no—
212C2×C8×C113—21no—
213C2×C8×C113—22no—
214C2×C8×C113—21no—
215C2×C8×C113—81no—
216C4⋊C4×C113—22no—
217C4⋊C4×C113—22no—
218C4⋊C4×C113—21no—
219C4⋊C4×C113—21no—
220C4⋊C4×C113—21no—
221C4⋊C4×C113—21no—
222C4⋊C4×C113—21no—
223C4⋊C4×C113—21no—
224C4⋊C4×C113—21no—
225C4⋊C4×C113—44no—
226C4⋊C4×C113C2×D412yes—
227C4⋊C4×C113C2×D411yescharacteristic
228C4⋊C4×C113C2×D411yescharacteristic
229C22⋊C4×C113—22no—
230C22⋊C4×C113—22no—
231C22⋊C4×C113—22no—
232C22⋊C4×C113—22no—
233C22⋊C4×C113—22no—
234C22⋊C4×C113—21no—
235C22⋊C4×C113—21no—
236C22⋊C4×C113—21no—
237C22⋊C4×C113—22no—
238C22⋊C4×C113—21no—
239C22⋊C4×C113—22no—
240C22⋊C4×C113—22no—
241C22⋊C4×C113—22no—
242C22⋊C4×C113—21no—
243C22⋊C4×C113—44no—
244C22⋊C4×C113—44no—
245C22⋊C4×C113—41no—
246C22⋊C4×C113—41no—
247C42×C113—22no—
248C42×C113—21no—
249C23×C113—21no—
250C23×C113—21no—
251C23×C113—22no—
252C23×C113—22no—
253C23×C113—22no—
254C23×C113—21no—
255C23×C113—22no—
256C23×C113—22no—
257C23×C113—41no—
258C23×C113—42no—
259C23×C113—42no—
260C23×C113—42no—
261C23×C113—42no—
262C23×C113—42no—
263C23×C113—41no—
264C23×C113—41no—
265C23×C113—41no—
266C23×C113—81no—
267C23×C113—81no—
268C23×C113—82no—
269C23×C113—82no—
270C23×C113—82no—
271C23×C113#12011yescharacteristic
272C23×C113#12011yescharacteristic
273C23×C113C22×D411yescharacteristic
274Q8×C113—41no—
275D4×C113—42no—
276D4×C113—41no—
277D4×C113—42no—
278D4×C113—42no—
279D4×C113—42no—
280D4×C113—41no—
281D4×C113—41no—
282D4×C113—42no—
283D4×C113—41no—
284D4×C113—42no—
285D4×C113—41no—
286D4×C113—44no—
287D4×C113—42no—
288D4×C113—81no—
289D4×C113—82no—
290D4×C113—82no—
291D4×C113—81no—
292D4×C113—82no—
293D4×C113—82no—
294D4×C113—82no—
295D4×C113—82no—
296D4×C113—82no—
297D4×C113—88no—
298D4×C113—82no—
299D4×C113—82no—
300C2×C4×C113—24no—
301C2×C4×C113—21no—
302C2×C4×C113—22no—
303C2×C4×C113—22no—
304C2×C4×C113—21no—
305C2×C4×C113—21no—
306C2×C4×C113—41no—
307C2×C4×C113—41no—
308C2×C4×C113—41no—
309C2×C4×C113—41no—
310C2×C4×C113—41no—
311C2×C4×C113—41no—
312C2×C4×C113—42no—
313C2×C4×C113—42no—
314C2×C4×C113—42no—
315C2×C4×C113—42no—
316C2×C4×C113—42no—
317C2×C4×C113—41no—
318C2×C4×C113—81no—
319C2×C4×C113—84no—
320C2×C4×C113—82no—
321C2×C4×C113—82no—
322C2×C4×C113#12011yescharacteristic
323C2×C4×C113#12011yescharacteristic
324C2×C4×C113C22×D411yescharacteristic
325C2×C4×C113C22×D411yescharacteristic
326C8×C113—41no—
327C8×C113—41no—
328C8×C113—42no—
329C22×C113—21no—
330C22×C113—21no—
331C22×C113—21no—
332C22×C113—21no—
333C22×C113—21no—
334C22×C113—21no—
335C22×C113—21no—
336C22×C113—42no—
337C22×C113—42no—
338C22×C113—42no—
339C22×C113—42no—
340C22×C113—41no—
341C22×C113—42no—
342C22×C113—42no—
343C22×C113—41no—
344C22×C113—41no—
345C22×C113—42no—
346C22×C113—42no—
347C22×C113—82no—
348C22×C113—82no—
349C22×C113—82no—
350C22×C113—82no—
351C22×C113—81no—
352C22×C113—81no—
353C22×C113—81no—
354C22×C113—162no—
355C22×C113—164no—
356C22×C113#45312yes—
357C22×C113C2×#12011yescharacteristic
358C22×C113#57611yescharacteristic
359C22×C113#57711yescharacteristic
360C4×C113—21no—
361C4×C113—21no—
362C4×C113—21no—
363C4×C113—21no—
364C4×C113—44no—
365C4×C113—42no—
366C4×C113—41no—
367C4×C113—42no—
368C4×C113—41no—
369C4×C113—41no—
370C4×C113—81no—
371#18418C11311yesmaximal, characteristic, direct product factor, Sylow
372C2×C113—21no—
373C2×C113—21no—
374C2×C113—22no—
375C2×C113—41no—
376C2×C113—82no—
377C2×C113—82no—
378C2×C113—81no—
379C2×C113—161no—
380C2×C113#301211yescharacteristic
381C2×C113C2×#45311yescharacteristic
382C2×C113#302611yescharacteristic
383#3537C2×C11311yescharacteristic, complemented
384#3192C2×C11311yescharacteristic, complemented
385#3188C2×C11311yescharacteristic, complemented
386#2656C2×C11311yescharacteristic, complemented
387#1618C2×C11312yescomplemented
388#1613C2×C11312yescomplemented
389#1600C2×C11312yescomplemented
390#1595C2×C11312yescomplemented
391#1504C2×C11311yescharacteristic, complemented
392C2×#327C2×C11311yescharacteristic, complemented
393#1471C2×C11311yescharacteristic, complemented
394C113#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×C11312yes—
404#535—21no—
405#534—21no—
406#534C22×C11312yes—
407#525C22×C11311yescharacteristic
408C2×#121—22no—
409C2×#121C22×C11311yescharacteristic
410C2×#121C22×C11311yescharacteristic
411C2×#121C22×C11311yescharacteristic, complemented
412#484C22×C11311yescharacteristic, complemented
413#482—21no—
414#481—21no—
415#481C22×C11311yescharacteristic, complemented
416#481C22×C11312yescomplemented
417#469—22no—
418#466—21no—
419#465—21no—
420#450C22×C11311yescharacteristic, complemented
421#449—21no—
422#447—21no—
423#447C22×C11311yescharacteristic, complemented
424#447C22×C11312yescomplemented
425#407C22×C11311yescharacteristic, complemented
426C2×C22⋊C8C22×C11311yescharacteristic, complemented
427#399—21no—
428#399C22×C11312yescomplemented
429#392—21no—
430#392C22×C11312yescomplemented
431C2×#95C22×C11311yescharacteristic, complemented
432#328C22×C11312yescomplemented
433#327C22×C11312yescomplemented
434#327C22×C11312yescomplemented
435#327C22×C11312yescomplemented
436#323C22×C11312yescomplemented
437#323C22×C11312yescomplemented
438C2×#41D4×C11311yescharacteristic, complemented
439C22×D4—22no—
440C22×D4—21no—
441C22×D4—21no—
442C22×D4—22no—
443C22×D4—21no—
444C22×D4—22no—
445C22×D4D4×C11312yes—
446C22×D4D4×C11311yescharacteristic
447C22×D4D4×C11311yescharacteristic, complemented
448C22×D4C23×C11311yescharacteristic
449C23×C4—21no—
450C23×C4C23×C11311yescharacteristic
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×C11311yescharacteristic, complemented
468C22⋊Q8C23×C11311yescharacteristic
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×C11312yescomplemented
489#121D4×C11311yescharacteristic, complemented
490#121C23×C11312yes—
491#121C23×C11311yescharacteristic
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×C11311yescharacteristic, complemented
507C2×C4⋊C4—22no—
508C2×C4⋊C4D4×C11311yescharacteristic
509C2×C4⋊C4D4×C11311yescharacteristic, complemented
510C2×C4⋊C4C23×C11311yescharacteristic
511C2×C22⋊C4—21no—
512C2×C22⋊C4—22no—
513C2×C22⋊C4—22no—
514C2×C22⋊C4—21no—
515C2×C22⋊C4C23×C11312yes—
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×C11311yescharacteristic
528C22⋊C8C23×C11311yescharacteristic
529C22⋊C8C23×C11312yes—
530#95—21no—
531#95C23×C11312yes—
532C24—22no—
533C24—21no—
534C24—21no—
535C24C2×D4×C11311yescharacteristic
536C24C2×D4×C11312yes—
537#41—81no—
538C2×Q8C2×D4×C11311yescharacteristic
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×C11311yescharacteristic
573C2×D4C2×D4×C11312yes—
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×C11312yes—
585C22×C4C2×D4×C11311yescharacteristic
586C22×C4C2×D4×C11311yescharacteristic
587C22×C4C2×D4×C11311yescharacteristic
588C22×C4C2×D4×C11311yescharacteristic
589C22×C4C2×D4×C11311yescharacteristic
590C22×C4C24×C11311yescharacteristic
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×C11312yes—
610C4⋊C4C2×D4×C11311yescharacteristic
611C4⋊C4C2×D4×C11311yescharacteristic
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—21no—
633C23—21no—
634C23—22no—
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×C11311yescharacteristic
655C23#120×C11311yescharacteristic
656C23C22×D4×C11311yescharacteristic
657Q8—41no—
658D4—42no—
659D4—41no—
660D4—42no—
661D4—42no—
662D4—42no—
663D4—41no—
664D4—41no—
665D4—42no—
666D4—41no—
667D4—42no—
668D4—41no—
669D4—44no—
670D4—42no—
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×C11311yescharacteristic
706C2×C4#120×C11311yescharacteristic
707C2×C4C22×D4×C11311yescharacteristic
708C2×C4C22×D4×C11311yescharacteristic
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×C11312yes—
740C22C2×#120×C11311yescharacteristic
741C22#576×C11311yescharacteristic
742C22#577×C11311yescharacteristic
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—
762C2C113×#301211yescharacteristic
763C2C2×#453×C11311yescharacteristic
764C2C113×#302611yescharacteristic
subgroupG/H
center, socleC22×C113C2×#120
commutator, Frattini, cosocleC22×C4C24×C113
LCSG ▷ C22×C4 ▷ C22 ▷ C1
UCSC1 ◁ C22×C113 ◁ C23×C4×C113 ◁ G

Complements

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

NH ≅ G/Ntype
1. C113×#3537C2semidirect
2. C113×#3192C2semidirect
3. C113×#3188C2semidirect
4. C113×#2656C2semidirect
5. C113×#1618C2semidirect
6. C113×#1613C2semidirect
7. C113×#1600C2semidirect
8. C113×#1595C2semidirect
9. C113×#1504C2semidirect
10. C2×#327×C113C2semidirect
11. C113×#1471C2semidirect
28. C2×#121×C113C22semidirect
29. #484×C113C22semidirect
32. #481×C113C22semidirect
33. #481×C113C22semidirect
37. #450×C113C22semidirect
40. #447×C113C22semidirect
41. #447×C113C22semidirect
42. #407×C113C22semidirect
43. C2×C22⋊C8×C113C22semidirect
45. #399×C113C22semidirect
47. #392×C113C22semidirect
48. C2×#95×C113C22semidirect
49. #328×C113C22semidirect
50. #327×C113C22semidirect
51. #327×C113C22semidirect
52. #327×C113C22semidirect
53. #323×C113C22semidirect
54. #323×C113C22semidirect
55. C2×#41×C113D4semidirect
64. C22×D4×C113D4semidirect
84. C22⋊Q8×C113D4semidirect
105. #121×C113D4semidirect
106. #121×C113D4semidirect
123. #117×C113D4semidirect
126. C2×C4⋊C4×C113D4semidirect
371. #18418C113direct (N × H)
383. #3537C2×C113semidirect
384. #3192C2×C113semidirect
385. #3188C2×C113semidirect
386. #2656C2×C113semidirect
387. #1618C2×C113semidirect
388. #1613C2×C113semidirect
389. #1600C2×C113semidirect
390. #1595C2×C113semidirect
391. #1504C2×C113semidirect
392. C2×#327C2×C113semidirect
393. #1471C2×C113semidirect
394. C113#18418direct (N × H)
411. C2×#121C22×C113semidirect
412. #484C22×C113semidirect
415. #481C22×C113semidirect
416. #481C22×C113semidirect
420. #450C22×C113semidirect
423. #447C22×C113semidirect
424. #447C22×C113semidirect
425. #407C22×C113semidirect
426. C2×C22⋊C8C22×C113semidirect
428. #399C22×C113semidirect
430. #392C22×C113semidirect
431. C2×#95C22×C113semidirect
432. #328C22×C113semidirect
433. #327C22×C113semidirect
434. #327C22×C113semidirect
435. #327C22×C113semidirect
436. #323C22×C113semidirect
437. #323C22×C113semidirect
438. C2×#41D4×C113semidirect
447. C22×D4D4×C113semidirect
467. C22⋊Q8D4×C113semidirect
488. #121D4×C113semidirect
489. #121D4×C113semidirect
506. #117D4×C113semidirect
509. C2×C4⋊C4D4×C113semidirect

Maximal subgroups

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

subgroupindex
C113×#35372
C113×#31922
C113×#31882
C113×#26562
C113×#16182
C113×#16132
C113×#16002
C113×#15952
C113×#15042
C2×#327×C1132
C113×#14712
#18418113