Finite Group Databasebeta

← C37×#18418 #22639671

Subgroups — C37×#18418 #22639671

Order 9472.

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
1C37×#3537C211yesmaximal, characteristic, complemented
2C37×#3192C211yesmaximal, characteristic, complemented
3C37×#3188C211yesmaximal, characteristic, complemented
4C37×#2656C211yesmaximal, characteristic, complemented
5C37×#1618C212yesmaximal, complemented
6C37×#1613C212yesmaximal, complemented
7C37×#1600C212yesmaximal, complemented
8C37×#1595C212yesmaximal, complemented
9C37×#1504C211yesmaximal, characteristic, complemented
10C2×C37×#327C211yesmaximal, characteristic, complemented
11C37×#1471C211yesmaximal, characteristic, complemented
12C37×#560—22no—
13C37×#553—21no—
14C37×#553—21no—
15D42×C37—22no—
16D42×C37—21no—
17D42×C37—21no—
18C37×#540—21no—
19C37×#538—21no—
20C37×#538C2212yes—
21C37×#535—21no—
22C37×#534—21no—
23C37×#534C2212yes—
24C37×#525C2211yescharacteristic
25C2×#121×C37—22no—
26C2×#121×C37C2211yescharacteristic
27C2×#121×C37C2211yescharacteristic
28C2×#121×C37C2211yescharacteristic, complemented
29C37×#484C2211yescharacteristic, complemented
30C37×#482—21no—
31C37×#481—21no—
32C37×#481C2211yescharacteristic, complemented
33C37×#481C2212yescomplemented
34C37×#469—22no—
35C37×#466—21no—
36C37×#465—21no—
37C37×#450C2211yescharacteristic, complemented
38C37×#449—21no—
39C37×#447—21no—
40C37×#447C2211yescharacteristic, complemented
41C37×#447C2212yescomplemented
42C37×#407C2211yescharacteristic, complemented
43C2×C22⋊C8×C37C2211yescharacteristic, complemented
44C37×#399—21no—
45C37×#399C2212yescomplemented
46C37×#392—21no—
47C37×#392C2212yescomplemented
48C2×#95×C37C2211yescharacteristic, complemented
49C37×#328C2212yescomplemented
50C37×#327C2212yescomplemented
51C37×#327C2212yescomplemented
52C37×#327C2212yescomplemented
53C37×#323C2212yescomplemented
54C37×#323C2212yescomplemented
55C2×#41×C37D411yescharacteristic, complemented
56C22×D4×C37—22no—
57C22×D4×C37—21no—
58C22×D4×C37—21no—
59C22×D4×C37—22no—
60C22×D4×C37—21no—
61C22×D4×C37—22no—
62C22×D4×C37D412yes—
63C22×D4×C37D411yescharacteristic
64C22×D4×C37D411yescharacteristic, complemented
65C22×D4×C37C2311yescharacteristic
66C23×C4×C37—21no—
67C23×C4×C37C2311yescharacteristic
68C2×SD16×C37—21no—
69C2×D8×C37—22no—
70C2×D8×C37—21no—
71C2×M16×C37—21no—
72C22×C8×C37—21no—
73#127×C37—22no—
74#127×C37—21no—
75#126×C37—22no—
76#126×C37—22no—
77#125×C37—21no—
78#124×C37—22no—
79#123×C37—22no—
80#123×C37—21no—
81#123×C37—22no—
82#123×C37—22no—
83#123×C37—22no—
84C22⋊Q8×C37D411yescharacteristic, complemented
85C22⋊Q8×C37C2311yescharacteristic
86#121×C37—22no—
87#121×C37—21no—
88#121×C37—21no—
89#121×C37—22no—
90#121×C37—22no—
91#121×C37—22no—
92#121×C37—22no—
93#121×C37—21no—
94#121×C37—21no—
95#121×C37—21no—
96#121×C37—21no—
97#121×C37—21no—
98#121×C37—21no—
99#121×C37—22no—
100#121×C37—21no—
101#121×C37—21no—
102#121×C37—21no—
103#121×C37—21no—
104#121×C37—48no—
105#121×C37D412yescomplemented
106#121×C37D411yescharacteristic, complemented
107#121×C37C2312yes—
108#121×C37C2311yescharacteristic
109#120×C37—22no—
110#120×C37—22no—
111#120×C37—22no—
112#120×C37—21no—
113#120×C37—22no—
114#120×C37—22no—
115#120×C37—22no—
116C4×D4×C37—22no—
117C4×D4×C37—21no—
118C4×D4×C37—21no—
119C4×D4×C37—21no—
120C4×D4×C37—21no—
121C4×D4×C37—22no—
122#117×C37—21no—
123#117×C37D411yescharacteristic, complemented
124C2×C4⋊C4×C37—22no—
125C2×C4⋊C4×C37D411yescharacteristic
126C2×C4⋊C4×C37D411yescharacteristic, complemented
127C2×C4⋊C4×C37C2311yescharacteristic
128C2×C22⋊C4×C37—21no—
129C2×C22⋊C4×C37—22no—
130C2×C22⋊C4×C37—22no—
131C2×C22⋊C4×C37—21no—
132C2×C22⋊C4×C37C2312yes—
133#107×C37—21no—
134#106×C37—21no—
135#106×C37—22no—
136#103×C37—21no—
137#102×C37—22no—
138#102×C37—21no—
139#102×C37—21no—
140#102×C37—22no—
141#102×C37—21no—
142C22⋊C8×C37—21no—
143C22⋊C8×C37—21no—
144C22⋊C8×C37C2311yescharacteristic
145C22⋊C8×C37C2311yescharacteristic
146C22⋊C8×C37C2312yes—
147#95×C37—21no—
148#95×C37C2312yes—
149C24×C37—22no—
150C24×C37—21no—
151C24×C37—21no—
152C24×C37C2×D411yescharacteristic
153C24×C37C2×D412yes—
154#41×C37—81no—
155C2×Q8×C37C2×D411yescharacteristic
156C2×D4×C37—22no—
157C2×D4×C37—21no—
158C2×D4×C37—21no—
159C2×D4×C37—22no—
160C2×D4×C37—22no—
161C2×D4×C37—22no—
162C2×D4×C37—22no—
163C2×D4×C37—22no—
164C2×D4×C37—22no—
165C2×D4×C37—21no—
166C2×D4×C37—22no—
167C2×D4×C37—22no—
168C2×D4×C37—21no—
169C2×D4×C37—21no—
170C2×D4×C37—21no—
171C2×D4×C37—21no—
172C2×D4×C37—21no—
173C2×D4×C37—44no—
174C2×D4×C37—44no—
175C2×D4×C37—44no—
176C2×D4×C37—41no—
177C2×D4×C37—41no—
178C2×D4×C37—81no—
179C2×D4×C37—81no—
180C2×D4×C37—82no—
181C2×D4×C37—81no—
182C2×D4×C37—82no—
183C2×D4×C37—82no—
184C2×D4×C37—81no—
185C2×D4×C37—81no—
186C2×D4×C37—82no—
187C2×D4×C37—82no—
188C2×D4×C37—84no—
189C2×D4×C37C2×D411yescharacteristic
190C2×D4×C37C2×D412yes—
191C22×C4×C37—22no—
192C22×C4×C37—22no—
193C22×C4×C37—22no—
194C22×C4×C37—24no—
195C22×C4×C37—21no—
196C22×C4×C37—21no—
197C22×C4×C37—21no—
198C22×C4×C37—81no—
199C22×C4×C37—81no—
200C22×C4×C37—81no—
201C22×C4×C37C2×D412yes—
202C22×C4×C37C2×D411yescharacteristic
203C22×C4×C37C2×D411yescharacteristic
204C22×C4×C37C2×D411yescharacteristic
205C22×C4×C37C2×D411yescharacteristic
206C22×C4×C37C2×D411yescharacteristic
207C22×C4×C37C2411yescharacteristic
208SD16×C37—81no—
209D8×C37—81no—
210D8×C37—82no—
211M16×C37—81no—
212C2×C8×C37—21no—
213C2×C8×C37—22no—
214C2×C8×C37—21no—
215C2×C8×C37—81no—
216C4⋊C4×C37—22no—
217C4⋊C4×C37—22no—
218C4⋊C4×C37—21no—
219C4⋊C4×C37—21no—
220C4⋊C4×C37—21no—
221C4⋊C4×C37—21no—
222C4⋊C4×C37—21no—
223C4⋊C4×C37—21no—
224C4⋊C4×C37—21no—
225C4⋊C4×C37—44no—
226C4⋊C4×C37C2×D412yes—
227C4⋊C4×C37C2×D411yescharacteristic
228C4⋊C4×C37C2×D411yescharacteristic
229C22⋊C4×C37—22no—
230C22⋊C4×C37—22no—
231C22⋊C4×C37—22no—
232C22⋊C4×C37—22no—
233C22⋊C4×C37—22no—
234C22⋊C4×C37—21no—
235C22⋊C4×C37—21no—
236C22⋊C4×C37—21no—
237C22⋊C4×C37—22no—
238C22⋊C4×C37—21no—
239C22⋊C4×C37—22no—
240C22⋊C4×C37—22no—
241C22⋊C4×C37—22no—
242C22⋊C4×C37—21no—
243C22⋊C4×C37—44no—
244C22⋊C4×C37—44no—
245C22⋊C4×C37—41no—
246C22⋊C4×C37—41no—
247C42×C37—22no—
248C42×C37—21no—
249C23×C37—21no—
250C23×C37—21no—
251C23×C37—22no—
252C23×C37—22no—
253C23×C37—22no—
254C23×C37—21no—
255C23×C37—22no—
256C23×C37—22no—
257C23×C37—41no—
258C23×C37—42no—
259C23×C37—42no—
260C23×C37—42no—
261C23×C37—42no—
262C23×C37—42no—
263C23×C37—41no—
264C23×C37—41no—
265C23×C37—41no—
266C23×C37—81no—
267C23×C37—81no—
268C23×C37—82no—
269C23×C37—82no—
270C23×C37—82no—
271C23×C37#12011yescharacteristic
272C23×C37#12011yescharacteristic
273C23×C37C22×D411yescharacteristic
274Q8×C37—41no—
275D4×C37—42no—
276D4×C37—41no—
277D4×C37—42no—
278D4×C37—42no—
279D4×C37—42no—
280D4×C37—41no—
281D4×C37—41no—
282D4×C37—42no—
283D4×C37—41no—
284D4×C37—42no—
285D4×C37—41no—
286D4×C37—44no—
287D4×C37—42no—
288D4×C37—81no—
289D4×C37—82no—
290D4×C37—82no—
291D4×C37—81no—
292D4×C37—82no—
293D4×C37—82no—
294D4×C37—82no—
295D4×C37—82no—
296D4×C37—82no—
297D4×C37—88no—
298D4×C37—82no—
299D4×C37—82no—
300C2×C4×C37—24no—
301C2×C4×C37—21no—
302C2×C4×C37—22no—
303C2×C4×C37—22no—
304C2×C4×C37—21no—
305C2×C4×C37—21no—
306C2×C4×C37—41no—
307C2×C4×C37—41no—
308C2×C4×C37—41no—
309C2×C4×C37—41no—
310C2×C4×C37—41no—
311C2×C4×C37—41no—
312C2×C4×C37—42no—
313C2×C4×C37—42no—
314C2×C4×C37—42no—
315C2×C4×C37—42no—
316C2×C4×C37—42no—
317C2×C4×C37—41no—
318C2×C4×C37—81no—
319C2×C4×C37—84no—
320C2×C4×C37—82no—
321C2×C4×C37—82no—
322C2×C4×C37#12011yescharacteristic
323C2×C4×C37#12011yescharacteristic
324C2×C4×C37C22×D411yescharacteristic
325C2×C4×C37C22×D411yescharacteristic
326C8×C37—41no—
327C8×C37—41no—
328C8×C37—42no—
329#18418C3711yesmaximal, characteristic, direct product factor, Sylow
330C22×C37—21no—
331C22×C37—21no—
332C22×C37—21no—
333C22×C37—21no—
334C22×C37—21no—
335C22×C37—21no—
336C22×C37—21no—
337C22×C37—42no—
338C22×C37—42no—
339C22×C37—42no—
340C22×C37—42no—
341C22×C37—41no—
342C22×C37—42no—
343C22×C37—42no—
344C22×C37—41no—
345C22×C37—41no—
346C22×C37—42no—
347C22×C37—42no—
348C22×C37—82no—
349C22×C37—82no—
350C22×C37—82no—
351C22×C37—82no—
352C22×C37—81no—
353C22×C37—81no—
354C22×C37—81no—
355C22×C37—162no—
356C22×C37—164no—
357C22×C37#45312yes—
358C22×C37C2×#12011yescharacteristic
359C22×C37#57611yescharacteristic
360C22×C37#57711yescharacteristic
361C4×C37—21no—
362C4×C37—21no—
363C4×C37—21no—
364C4×C37—21no—
365C4×C37—44no—
366C4×C37—42no—
367C4×C37—41no—
368C4×C37—42no—
369C4×C37—41no—
370C4×C37—41no—
371C4×C37—81no—
372#3537C2×C3711yescharacteristic, complemented
373#3192C2×C3711yescharacteristic, complemented
374#3188C2×C3711yescharacteristic, complemented
375#2656C2×C3711yescharacteristic, complemented
376#1618C2×C3712yescomplemented
377#1613C2×C3712yescomplemented
378#1600C2×C3712yescomplemented
379#1595C2×C3712yescomplemented
380#1504C2×C3711yescharacteristic, complemented
381C2×#327C2×C3711yescharacteristic, complemented
382#1471C2×C3711yescharacteristic, complemented
383C2×C37—21no—
384C2×C37—21no—
385C2×C37—22no—
386C2×C37—41no—
387C2×C37—82no—
388C2×C37—82no—
389C2×C37—81no—
390C2×C37—161no—
391C2×C37#301211yescharacteristic
392C2×C37C2×#45311yescharacteristic
393C2×C37#302611yescharacteristic
394#560—22no—
395#553—21no—
396#553—21no—
397D42—22no—
398D42—21no—
399D42—21no—
400#540—21no—
401#538—21no—
402#538C22×C3712yes—
403#535—21no—
404#534—21no—
405#534C22×C3712yes—
406#525C22×C3711yescharacteristic
407C2×#121—22no—
408C2×#121C22×C3711yescharacteristic
409C2×#121C22×C3711yescharacteristic
410C2×#121C22×C3711yescharacteristic, complemented
411#484C22×C3711yescharacteristic, complemented
412#482—21no—
413#481—21no—
414#481C22×C3711yescharacteristic, complemented
415#481C22×C3712yescomplemented
416#469—22no—
417#466—21no—
418#465—21no—
419#450C22×C3711yescharacteristic, complemented
420#449—21no—
421#447—21no—
422#447C22×C3711yescharacteristic, complemented
423#447C22×C3712yescomplemented
424#407C22×C3711yescharacteristic, complemented
425C2×C22⋊C8C22×C3711yescharacteristic, complemented
426#399—21no—
427#399C22×C3712yescomplemented
428#392—21no—
429#392C22×C3712yescomplemented
430C2×#95C22×C3711yescharacteristic, complemented
431#328C22×C3712yescomplemented
432#327C22×C3712yescomplemented
433#327C22×C3712yescomplemented
434#327C22×C3712yescomplemented
435#323C22×C3712yescomplemented
436#323C22×C3712yescomplemented
437C37#1841811yescharacteristic, direct product factor, Sylow
438C2×#41D4×C3711yescharacteristic, complemented
439C22×D4—22no—
440C22×D4—21no—
441C22×D4—21no—
442C22×D4—22no—
443C22×D4—21no—
444C22×D4—22no—
445C22×D4D4×C3712yes—
446C22×D4D4×C3711yescharacteristic
447C22×D4D4×C3711yescharacteristic, complemented
448C22×D4C23×C3711yescharacteristic
449C23×C4—21no—
450C23×C4C23×C3711yescharacteristic
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×C3711yescharacteristic, complemented
468C22⋊Q8C23×C3711yescharacteristic
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×C3712yescomplemented
489#121D4×C3711yescharacteristic, complemented
490#121C23×C3712yes—
491#121C23×C3711yescharacteristic
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×C3711yescharacteristic, complemented
507C2×C4⋊C4—22no—
508C2×C4⋊C4D4×C3711yescharacteristic
509C2×C4⋊C4D4×C3711yescharacteristic, complemented
510C2×C4⋊C4C23×C3711yescharacteristic
511C2×C22⋊C4—21no—
512C2×C22⋊C4—22no—
513C2×C22⋊C4—22no—
514C2×C22⋊C4—21no—
515C2×C22⋊C4C23×C3712yes—
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×C3711yescharacteristic
528C22⋊C8C23×C3711yescharacteristic
529C22⋊C8C23×C3712yes—
530#95—21no—
531#95C23×C3712yes—
532C24—22no—
533C24—21no—
534C24—21no—
535C24C2×D4×C3711yescharacteristic
536C24C2×D4×C3712yes—
537#41—81no—
538C2×Q8C2×D4×C3711yescharacteristic
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×C3711yescharacteristic
573C2×D4C2×D4×C3712yes—
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×C3712yes—
585C22×C4C2×D4×C3711yescharacteristic
586C22×C4C2×D4×C3711yescharacteristic
587C22×C4C2×D4×C3711yescharacteristic
588C22×C4C2×D4×C3711yescharacteristic
589C22×C4C2×D4×C3711yescharacteristic
590C22×C4C24×C3711yescharacteristic
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×C3712yes—
610C4⋊C4C2×D4×C3711yescharacteristic
611C4⋊C4C2×D4×C3711yescharacteristic
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×C3711yescharacteristic
655C23#120×C3711yescharacteristic
656C23C22×D4×C3711yescharacteristic
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×C3711yescharacteristic
706C2×C4#120×C3711yescharacteristic
707C2×C4C22×D4×C3711yescharacteristic
708C2×C4C22×D4×C3711yescharacteristic
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—
739C22C37×#45312yes—
740C22C2×#120×C3711yescharacteristic
741C22C37×#57611yescharacteristic
742C22C37×#57711yescharacteristic
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—
762C2C37×#301211yescharacteristic
763C2C2×C37×#45311yescharacteristic
764C2C37×#302611yescharacteristic
subgroupG/H
center, socleC22×C37C2×#120
commutator, Frattini, cosocleC22×C4C24×C37
LCSG ▷ C22×C4 ▷ C22 ▷ C1
UCSC1 ◁ C22×C37 ◁ C23×C4×C37 ◁ G

Complements

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

NH ≅ G/Ntype
1. C37×#3537C2semidirect
2. C37×#3192C2semidirect
3. C37×#3188C2semidirect
4. C37×#2656C2semidirect
5. C37×#1618C2semidirect
6. C37×#1613C2semidirect
7. C37×#1600C2semidirect
8. C37×#1595C2semidirect
9. C37×#1504C2semidirect
10. C2×C37×#327C2semidirect
11. C37×#1471C2semidirect
28. C2×#121×C37C22semidirect
29. C37×#484C22semidirect
32. C37×#481C22semidirect
33. C37×#481C22semidirect
37. C37×#450C22semidirect
40. C37×#447C22semidirect
41. C37×#447C22semidirect
42. C37×#407C22semidirect
43. C2×C22⋊C8×C37C22semidirect
45. C37×#399C22semidirect
47. C37×#392C22semidirect
48. C2×#95×C37C22semidirect
49. C37×#328C22semidirect
50. C37×#327C22semidirect
51. C37×#327C22semidirect
52. C37×#327C22semidirect
53. C37×#323C22semidirect
54. C37×#323C22semidirect
55. C2×#41×C37D4semidirect
64. C22×D4×C37D4semidirect
84. C22⋊Q8×C37D4semidirect
105. #121×C37D4semidirect
106. #121×C37D4semidirect
123. #117×C37D4semidirect
126. C2×C4⋊C4×C37D4semidirect
329. #18418C37direct (N × H)
372. #3537C2×C37semidirect
373. #3192C2×C37semidirect
374. #3188C2×C37semidirect
375. #2656C2×C37semidirect
376. #1618C2×C37semidirect
377. #1613C2×C37semidirect
378. #1600C2×C37semidirect
379. #1595C2×C37semidirect
380. #1504C2×C37semidirect
381. C2×#327C2×C37semidirect
382. #1471C2×C37semidirect
410. C2×#121C22×C37semidirect
411. #484C22×C37semidirect
414. #481C22×C37semidirect
415. #481C22×C37semidirect
419. #450C22×C37semidirect
422. #447C22×C37semidirect
423. #447C22×C37semidirect
424. #407C22×C37semidirect
425. C2×C22⋊C8C22×C37semidirect
427. #399C22×C37semidirect
429. #392C22×C37semidirect
430. C2×#95C22×C37semidirect
431. #328C22×C37semidirect
432. #327C22×C37semidirect
433. #327C22×C37semidirect
434. #327C22×C37semidirect
435. #323C22×C37semidirect
436. #323C22×C37semidirect
437. C37#18418direct (N × H)
438. C2×#41D4×C37semidirect
447. C22×D4D4×C37semidirect
467. C22⋊Q8D4×C37semidirect
488. #121D4×C37semidirect
489. #121D4×C37semidirect
506. #117D4×C37semidirect
509. C2×C4⋊C4D4×C37semidirect

Maximal subgroups

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

subgroupindex
C37×#35372
C37×#31922
C37×#31882
C37×#26562
C37×#16182
C37×#16132
C37×#16002
C37×#15952
C37×#15042
C2×C37×#3272
C37×#14712
#1841837