Finite Group Databasebeta

← C37×#18254 #22639507

Subgroups — C37×#18254 #22639507

Order 9472.

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
1C37×#3537C211yesmaximal, characteristic, complemented
2C37×#3003C211yesmaximal, characteristic, complemented
3C2×C37×#447C211yesmaximal, characteristic, complemented
4C37×#2433C211yesmaximal, characteristic, complemented
5C37×#1600C214yesmaximal, complemented
6C37×#1595C214yesmaximal, complemented
7C37×#1507C211yesmaximal, characteristic, complemented
8C37×#1501C211yesmaximal, characteristic, complemented
9C37×#1471C211yesmaximal, characteristic, complemented
10C23×D4×C37C2211yescharacteristic, complemented
11C2×AGL(1,ℤ/8)×C37—21no—
12C22×D8×C37—21no—
13C37×#560—22no—
14C37×#553—21no—
15C37×#553—21no—
16D42×C37—22no—
17D42×C37—21no—
18D42×C37—21no—
19C37×#540—21no—
20C37×#538—21no—
21C37×#538C2212yescomplemented
22C37×#535—21no—
23C37×#534—21no—
24C37×#534C2212yescomplemented
25C2×#127×C37—21no—
26C37×#525C2211yescharacteristic
27C2×#121×C37C2211yescharacteristic
28C2×#121×C37C2211yescharacteristic
29C2×#120×C37—22no—
30C37×#450—21no—
31C37×#450C2212yescomplemented
32C37×#447—22no—
33C37×#447—21no—
34C37×#447C2212yescomplemented
35C37×#447C2214yescomplemented
36C37×#418—21no—
37C2×#102×C37—21no—
38C37×#407C2211yescharacteristic, complemented
39C2×C22⋊C8×C37C2211yescharacteristic, complemented
40C37×#392C2214yescomplemented
41C37×#390—21no—
42C4×C22⋊C4×C37C2211yescharacteristic, complemented
43C37×#328C2212yescomplemented
44C37×#327C2212yescomplemented
45C37×#327C2214yescomplemented
46C37×#323C2214yescomplemented
47C25×C37—21no—
48C2×#41×C37D411yescharacteristic, complemented
49C22×D4×C37—22no—
50C22×D4×C37—21no—
51C22×D4×C37—21no—
52C22×D4×C37—22no—
53C22×D4×C37—24no—
54C22×D4×C37—21no—
55C22×D4×C37—21no—
56C22×D4×C37—21no—
57C22×D4×C37—21no—
58C22×D4×C37—21no—
59C22×D4×C37—44no—
60C22×D4×C37D412yes—
61C22×D4×C37D411yescharacteristic
62C22×D4×C37D411yescharacteristic, complemented
63C22×D4×C37C2312yes—
64C23×C4×C37C2311yescharacteristic
65AGL(1,ℤ/8)×C37—44no—
66C2×SD16×C37—22no—
67C2×D8×C37—24no—
68C2×D8×C37—22no—
69C2×D8×C37—44no—
70C2×M16×C37—21no—
71C22×C8×C37—21no—
72#127×C37—22no—
73#127×C37—21no—
74#127×C37—44no—
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×C37D412yescomplemented
101#121×C37D411yescharacteristic, complemented
102#121×C37C2312yes—
103#121×C37C2311yescharacteristic
104#120×C37—22no—
105#120×C37—22no—
106#120×C37—22no—
107#120×C37—21no—
108#120×C37—22no—
109#120×C37—22no—
110#120×C37—22no—
111#120×C37—48no—
112C4×D4×C37—22no—
113C4×D4×C37—21no—
114C4×D4×C37—21no—
115C4×D4×C37—21no—
116C4×D4×C37—21no—
117C4×D4×C37—22no—
118#117×C37—21no—
119#117×C37D411yescharacteristic, complemented
120C2×C4⋊C4×C37D411yescharacteristic
121C2×C4⋊C4×C37D411yescharacteristic, complemented
122C2×C22⋊C4×C37—21no—
123C2×C22⋊C4×C37—21no—
124C2×C22⋊C4×C37—24no—
125C2×C22⋊C4×C37C2312yes—
126C2×C42×C37—21no—
127#102×C37—24no—
128#102×C37—22no—
129#102×C37—22no—
130C22⋊C8×C37—21no—
131C22⋊C8×C37—21no—
132C22⋊C8×C37C2312yes—
133C22⋊C8×C37C2312yes—
134#95×C37C2312yes—
135C24×C37—22no—
136C24×C37—22no—
137C24×C37—21no—
138C24×C37—44no—
139C24×C37—44no—
140C24×C37—41no—
141C24×C37—41no—
142C24×C37—82no—
143C24×C37C2×D411yescharacteristic
144C24×C37C2×D412yes—
145#41×C37—42no—
146C2×Q8×C37C2×D411yescharacteristic
147C2×D4×C37—24no—
148C2×D4×C37—24no—
149C2×D4×C37—24no—
150C2×D4×C37—22no—
151C2×D4×C37—21no—
152C2×D4×C37—21no—
153C2×D4×C37—22no—
154C2×D4×C37—22no—
155C2×D4×C37—22no—
156C2×D4×C37—22no—
157C2×D4×C37—22no—
158C2×D4×C37—22no—
159C2×D4×C37—21no—
160C2×D4×C37—22no—
161C2×D4×C37—22no—
162C2×D4×C37—21no—
163C2×D4×C37—21no—
164C2×D4×C37—21no—
165C2×D4×C37—22no—
166C2×D4×C37—22no—
167C2×D4×C37—42no—
168C2×D4×C37—42no—
169C2×D4×C37—42no—
170C2×D4×C37—42no—
171C2×D4×C37—42no—
172C2×D4×C37—48no—
173C2×D4×C37—44no—
174C2×D4×C37—44no—
175C2×D4×C37—44no—
176C2×D4×C37—44no—
177C2×D4×C37—48no—
178C2×D4×C37—41no—
179C2×D4×C37—41no—
180C2×D4×C37—82no—
181C2×D4×C37—84no—
182C2×D4×C37—82no—
183C2×D4×C37—84no—
184C2×D4×C37—84no—
185C2×D4×C37C2×D411yescharacteristic
186C2×D4×C37C2×D412yes—
187C22×C4×C37—22no—
188C22×C4×C37—22no—
189C22×C4×C37—22no—
190C22×C4×C37—21no—
191C22×C4×C37—21no—
192C22×C4×C37—42no—
193C22×C4×C37C2×D411yescharacteristic
194C22×C4×C37C2×D411yescharacteristic
195C22×C4×C37C2×D411yescharacteristic
196C22×C4×C37C2×D412yes—
197C22×C4×C37C2×D411yescharacteristic
198C22×C4×C37C2×D411yescharacteristic
199C22×C4×C37C2411yescharacteristic
200SD16×C37—44no—
201D8×C37—48no—
202D8×C37—44no—
203M16×C37—42no—
204C2×C8×C37—22no—
205C2×C8×C37—22no—
206C2×C8×C37—42no—
207C4⋊C4×C37—22no—
208C4⋊C4×C37—22no—
209C4⋊C4×C37—21no—
210C4⋊C4×C37—21no—
211C4⋊C4×C37—21no—
212C4⋊C4×C37—21no—
213C4⋊C4×C37—21no—
214C4⋊C4×C37C2×D412yes—
215C4⋊C4×C37C2×D411yescharacteristic
216C4⋊C4×C37C2×D411yescharacteristic
217C22⋊C4×C37—24no—
218C22⋊C4×C37—22no—
219C22⋊C4×C37—22no—
220C22⋊C4×C37—22no—
221C22⋊C4×C37—22no—
222C22⋊C4×C37—22no—
223C22⋊C4×C37—21no—
224C22⋊C4×C37—21no—
225C22⋊C4×C37—21no—
226C22⋊C4×C37—22no—
227C22⋊C4×C37—21no—
228C22⋊C4×C37—22no—
229C22⋊C4×C37—22no—
230C22⋊C4×C37—22no—
231C22⋊C4×C37—21no—
232C22⋊C4×C37—48no—
233C42×C37—22no—
234C42×C37—21no—
235C42×C37—42no—
236C23×C37—22no—
237C23×C37—22no—
238C23×C37—24no—
239C23×C37—22no—
240C23×C37—22no—
241C23×C37—21no—
242C23×C37—24no—
243C23×C37—41no—
244C23×C37—44no—
245C23×C37—44no—
246C23×C37—44no—
247C23×C37—42no—
248C23×C37—42no—
249C23×C37—42no—
250C23×C37—42no—
251C23×C37—44no—
252C23×C37—42no—
253C23×C37—81no—
254C23×C37—81no—
255C23×C37—82no—
256C23×C37—82no—
257C23×C37—82no—
258C23×C37—82no—
259C23×C37—82no—
260C23×C37—82no—
261C23×C37—816no—
262C23×C37—82no—
263C23×C37#12011yescharacteristic
264C23×C37#12011yescharacteristic
265C23×C37C22×D411yescharacteristic
266Q8×C37—41no—
267D4×C37—24no—
268D4×C37—24no—
269D4×C37—42no—
270D4×C37—41no—
271D4×C37—42no—
272D4×C37—42no—
273D4×C37—44no—
274D4×C37—44no—
275D4×C37—42no—
276D4×C37—44no—
277D4×C37—42no—
278D4×C37—44no—
279D4×C37—42no—
280D4×C37—42no—
281D4×C37—81no—
282D4×C37—82no—
283D4×C37—82no—
284D4×C37—81no—
285D4×C37—82no—
286D4×C37—82no—
287D4×C37—82no—
288D4×C37—82no—
289D4×C37—82no—
290D4×C37—816no—
291C2×C4×C37—22no—
292C2×C4×C37—22no—
293C2×C4×C37—22no—
294C2×C4×C37—24no—
295C2×C4×C37—21no—
296C2×C4×C37—22no—
297C2×C4×C37—22no—
298C2×C4×C37—21no—
299C2×C4×C37—21no—
300C2×C4×C37—41no—
301C2×C4×C37—41no—
302C2×C4×C37—41no—
303C2×C4×C37—42no—
304C2×C4×C37—42no—
305C2×C4×C37—42no—
306C2×C4×C37—42no—
307C2×C4×C37—81no—
308C2×C4×C37—82no—
309C2×C4×C37—82no—
310C2×C4×C37#12011yescharacteristic
311C2×C4×C37#12011yescharacteristic
312C2×C4×C37C22×D411yescharacteristic
313C2×C4×C37C22×D411yescharacteristic
314C8×C37—42no—
315C8×C37—42no—
316#18254C3711yesmaximal, characteristic, direct product factor, Sylow
317C22×C37—21no—
318C22×C37—21no—
319C22×C37—21no—
320C22×C37—21no—
321C22×C37—21no—
322C22×C37—21no—
323C22×C37—21no—
324C22×C37—44no—
325C22×C37—48no—
326C22×C37—42no—
327C22×C37—42no—
328C22×C37—41no—
329C22×C37—42no—
330C22×C37—42no—
331C22×C37—41no—
332C22×C37—41no—
333C22×C37—44no—
334C22×C37—42no—
335C22×C37—42no—
336C22×C37—84no—
337C22×C37—84no—
338C22×C37—88no—
339C22×C37—88no—
340C22×C37—82no—
341C22×C37—82no—
342C22×C37—162no—
343C22×C37—164no—
344C22×C37#45312yes—
345C22×C37C2×#12011yescharacteristic
346C22×C37#57612yes—
347C4×C37—21no—
348C4×C37—21no—
349C4×C37—21no—
350C4×C37—44no—
351C4×C37—42no—
352C4×C37—41no—
353C4×C37—42no—
354C4×C37—41no—
355C4×C37—41no—
356C4×C37B(4,𝔽2)12yes—
357#3537C2×C3711yescharacteristic, complemented
358#3003C2×C3711yescharacteristic, complemented
359C2×#447C2×C3711yescharacteristic, complemented
360#2433C2×C3711yescharacteristic, complemented
361#1600C2×C3714yescomplemented
362#1595C2×C3714yescomplemented
363#1507C2×C3711yescharacteristic, complemented
364#1501C2×C3711yescharacteristic, complemented
365#1471C2×C3711yescharacteristic, complemented
366C2×C37—22no—
367C2×C37—22no—
368C2×C37—41no—
369C2×C37—84no—
370C2×C37—82no—
371C2×C37—82no—
372C2×C37—81no—
373C2×C37#300811yescharacteristic
374C2×C37C2×#45311yescharacteristic
375C2×C37C2×B(4,𝔽2)11yescharacteristic
376C23×D4C22×C3711yescharacteristic, complemented
377C2×AGL(1,ℤ/8)—21no—
378C22×D8—21no—
379#560—22no—
380#553—21no—
381#553—21no—
382D42—22no—
383D42—21no—
384D42—21no—
385#540—21no—
386#538—21no—
387#538C22×C3712yescomplemented
388#535—21no—
389#534—21no—
390#534C22×C3712yescomplemented
391C2×#127—21no—
392#525C22×C3711yescharacteristic
393C2×#121C22×C3711yescharacteristic
394C2×#121C22×C3711yescharacteristic
395C2×#120—22no—
396#450—21no—
397#450C22×C3712yescomplemented
398#447—22no—
399#447—21no—
400#447C22×C3712yescomplemented
401#447C22×C3714yescomplemented
402#418—21no—
403C2×#102—21no—
404#407C22×C3711yescharacteristic, complemented
405C2×C22⋊C8C22×C3711yescharacteristic, complemented
406#392C22×C3714yescomplemented
407#390—21no—
408C4×C22⋊C4C22×C3711yescharacteristic, complemented
409#328C22×C3712yescomplemented
410#327C22×C3712yescomplemented
411#327C22×C3714yescomplemented
412#323C22×C3714yescomplemented
413C37#1825411yescharacteristic, direct product factor, Sylow
414C25—21no—
415C2×#41D4×C3711yescharacteristic, 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×C3712yes—
428C22×D4D4×C3711yescharacteristic
429C22×D4D4×C3711yescharacteristic, complemented
430C22×D4C23×C3712yes—
431C23×C4C23×C3711yescharacteristic
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×C3711yescharacteristic, complemented
452C22⋊Q8C23×C3711yescharacteristic
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×C3712yescomplemented
468#121D4×C3711yescharacteristic, complemented
469#121C23×C3712yes—
470#121C23×C3711yescharacteristic
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×C3711yescharacteristic, complemented
487C2×C4⋊C4D4×C3711yescharacteristic
488C2×C4⋊C4D4×C3711yescharacteristic, complemented
489C2×C22⋊C4—21no—
490C2×C22⋊C4—21no—
491C2×C22⋊C4—24no—
492C2×C22⋊C4C23×C3712yes—
493C2×C42—21no—
494#102—24no—
495#102—22no—
496#102—22no—
497C22⋊C8—21no—
498C22⋊C8—21no—
499C22⋊C8C23×C3712yes—
500C22⋊C8C23×C3712yes—
501#95C23×C3712yes—
502C24—22no—
503C24—22no—
504C24—21no—
505C24—44no—
506C24—44no—
507C24—41no—
508C24—41no—
509C24—82no—
510C24C2×D4×C3711yescharacteristic
511C24C2×D4×C3712yes—
512#41—42no—
513C2×Q8C2×D4×C3711yescharacteristic
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×C3711yescharacteristic
553C2×D4C2×D4×C3712yes—
554C22×C4—22no—
555C22×C4—22no—
556C22×C4—22no—
557C22×C4—21no—
558C22×C4—21no—
559C22×C4—42no—
560C22×C4C2×D4×C3711yescharacteristic
561C22×C4C2×D4×C3711yescharacteristic
562C22×C4C2×D4×C3711yescharacteristic
563C22×C4C2×D4×C3712yes—
564C22×C4C2×D4×C3711yescharacteristic
565C22×C4C2×D4×C3711yescharacteristic
566C22×C4C24×C3711yescharacteristic
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×C3712yes—
582C4⋊C4C2×D4×C3711yescharacteristic
583C4⋊C4C2×D4×C3711yescharacteristic
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×C3711yescharacteristic
631C23#120×C3711yescharacteristic
632C23C22×D4×C3711yescharacteristic
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×C3711yescharacteristic
678C2×C4#120×C3711yescharacteristic
679C2×C4C22×D4×C3711yescharacteristic
680C2×C4C22×D4×C3711yescharacteristic
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—
710C22C37×#45312yes—
711C22C2×#120×C3711yescharacteristic
712C22C37×#57612yes—
713C4—21no—
714C4—21no—
715C4—21no—
716C4—44no—
717C4—42no—
718C4—41no—
719C4—42no—
720C4—41no—
721C4—41no—
722C4C37×B(4,𝔽2)12yes—
723C2—22no—
724C2—22no—
725C2—41no—
726C2—84no—
727C2—82no—
728C2—82no—
729C2—81no—
730C2C37×#300811yescharacteristic
731C2C2×C37×#45311yescharacteristic
732C2C2×C37×B(4,𝔽2)11yescharacteristic
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×#3003C2semidirect
3. C2×C37×#447C2semidirect
4. C37×#2433C2semidirect
5. C37×#1600C2semidirect
6. C37×#1595C2semidirect
7. C37×#1507C2semidirect
8. C37×#1501C2semidirect
9. C37×#1471C2semidirect
10. C23×D4×C37C22semidirect
21. C37×#538C22semidirect
24. C37×#534C22semidirect
31. C37×#450C22semidirect
34. C37×#447C22semidirect
35. C37×#447C22semidirect
38. C37×#407C22semidirect
39. C2×C22⋊C8×C37C22semidirect
40. C37×#392C22semidirect
42. C4×C22⋊C4×C37C22semidirect
43. C37×#328C22semidirect
44. C37×#327C22semidirect
45. C37×#327C22semidirect
46. C37×#323C22semidirect
48. C2×#41×C37D4semidirect
62. C22×D4×C37D4semidirect
84. C22⋊Q8×C37D4semidirect
100. #121×C37D4semidirect
101. #121×C37D4semidirect
119. #117×C37D4semidirect
121. C2×C4⋊C4×C37D4semidirect
316. #18254C37direct (N × H)
357. #3537C2×C37semidirect
358. #3003C2×C37semidirect
359. C2×#447C2×C37semidirect
360. #2433C2×C37semidirect
361. #1600C2×C37semidirect
362. #1595C2×C37semidirect
363. #1507C2×C37semidirect
364. #1501C2×C37semidirect
365. #1471C2×C37semidirect
376. C23×D4C22×C37semidirect
387. #538C22×C37semidirect
390. #534C22×C37semidirect
397. #450C22×C37semidirect
400. #447C22×C37semidirect
401. #447C22×C37semidirect
404. #407C22×C37semidirect
405. C2×C22⋊C8C22×C37semidirect
406. #392C22×C37semidirect
408. C4×C22⋊C4C22×C37semidirect
409. #328C22×C37semidirect
410. #327C22×C37semidirect
411. #327C22×C37semidirect
412. #323C22×C37semidirect
413. C37#18254direct (N × H)
415. C2×#41D4×C37semidirect
429. C22×D4D4×C37semidirect
451. C22⋊Q8D4×C37semidirect
467. #121D4×C37semidirect
468. #121D4×C37semidirect
486. #117D4×C37semidirect
488. 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×#30032
C2×C37×#4472
C37×#24332
C37×#16002
C37×#15952
C37×#15072
C37×#15012
C37×#14712
#1825437