Finite Group Databasebeta

← C37×#18450 #22639703

Subgroups — C37×#18450 #22639703

Order 9472.

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
1C37×#3537C211yesmaximal, characteristic, complemented
2C37×#3194C211yesmaximal, characteristic, complemented
3C37×#3186C211yesmaximal, characteristic, complemented
4C37×#2815C211yesmaximal, characteristic, complemented
5C37×#1612C212yesmaximal, complemented
6C37×#1607C212yesmaximal, complemented
7C37×#1600C212yesmaximal, complemented
8C37×#1595C212yesmaximal, complemented
9C37×#1516C211yesmaximal, characteristic, complemented
10C37×#1510C211yesmaximal, 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×C37C2211yescharacteristic
26C2×#121×C37C2211yescharacteristic
27C2×#121×C37C2211yescharacteristic, complemented
28C37×#483C2211yescharacteristic, complemented
29C37×#482—21no—
30C37×#480—21no—
31C37×#480C2211yescharacteristic, complemented
32C37×#480C2212yescomplemented
33C37×#469—21no—
34C37×#468—21no—
35C37×#466—22no—
36C37×#450C2211yescharacteristic, complemented
37C37×#449—21no—
38C37×#447—21no—
39C37×#447C2211yescharacteristic, complemented
40C37×#447C2212yescomplemented
41C37×#407C2211yescharacteristic, complemented
42C2×C22⋊C8×C37C2211yescharacteristic, complemented
43C37×#397—21no—
44C37×#397C2212yescomplemented
45C37×#392—21no—
46C37×#392—22no—
47C37×#392C2212yescomplemented
48C37×#381C2211yescharacteristic, 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×C37C2311yescharacteristic
67C2×SD16×C37—21no—
68C2×D8×C37—22no—
69C2×D8×C37—21no—
70C2×M16×C37—21no—
71C22×C8×C37—21no—
72#127×C37—22no—
73#127×C37—21no—
74#126×C37—22no—
75#126×C37—22no—
76#125×C37—21no—
77#124×C37—22no—
78#123×C37—22no—
79#123×C37—21no—
80#123×C37—22no—
81#123×C37—22no—
82#123×C37—22no—
83C22⋊Q8×C37D411yescharacteristic, complemented
84C22⋊Q8×C37C2311yescharacteristic
85#121×C37—22no—
86#121×C37—21no—
87#121×C37—21no—
88#121×C37—22no—
89#121×C37—22no—
90#121×C37—22no—
91#121×C37—22no—
92#121×C37—21no—
93#121×C37—21no—
94#121×C37—21no—
95#121×C37—21no—
96#121×C37—21no—
97#121×C37—21no—
98#121×C37—22no—
99#121×C37—21no—
100#121×C37—21no—
101#121×C37—21no—
102#121×C37—21no—
103#121×C37D412yescomplemented
104#121×C37D411yescharacteristic, complemented
105#121×C37C2312yes—
106#121×C37C2311yescharacteristic
107#120×C37—22no—
108#120×C37—22no—
109#120×C37—22no—
110#120×C37—21no—
111#120×C37—22no—
112#120×C37—22no—
113#120×C37—22no—
114C4×D4×C37—22no—
115C4×D4×C37—21no—
116C4×D4×C37—21no—
117C4×D4×C37—21no—
118C4×D4×C37—21no—
119C4×D4×C37—22no—
120#117×C37—21no—
121#117×C37D411yescharacteristic, complemented
122C2×C4⋊C4×C37D411yescharacteristic
123C2×C4⋊C4×C37D411yescharacteristic, complemented
124C2×C4⋊C4×C37C2311yescharacteristic
125C2×C22⋊C4×C37—21no—
126C2×C22⋊C4×C37—21no—
127C2×C22⋊C4×C37—21no—
128C2×C22⋊C4×C37—22no—
129C2×C22⋊C4×C37—22no—
130C2×C22⋊C4×C37C2312yes—
131#107×C37—22no—
132#107×C37—21no—
133#106×C37—21no—
134#103×C37—21no—
135#102×C37—22no—
136#102×C37—21no—
137#102×C37—22no—
138#102×C37—21no—
139#102×C37—21no—
140C22⋊C8×C37—21no—
141C22⋊C8×C37—21no—
142C22⋊C8×C37C2311yescharacteristic
143C22⋊C8×C37C2311yescharacteristic
144C22⋊C8×C37C2312yes—
145#95×C37—21no—
146#95×C37—22no—
147#95×C37C2312yes—
148C24×C37—22no—
149C24×C37—21no—
150C24×C37—21no—
151C24×C37C2×D412yes—
152C24×C37C2×D411yescharacteristic
153#41×C37—81no—
154C2×Q8×C37C2×D411yescharacteristic
155C2×D4×C37—22no—
156C2×D4×C37—21no—
157C2×D4×C37—21no—
158C2×D4×C37—22no—
159C2×D4×C37—22no—
160C2×D4×C37—22no—
161C2×D4×C37—22no—
162C2×D4×C37—22no—
163C2×D4×C37—22no—
164C2×D4×C37—21no—
165C2×D4×C37—22no—
166C2×D4×C37—22no—
167C2×D4×C37—21no—
168C2×D4×C37—21no—
169C2×D4×C37—21no—
170C2×D4×C37—21no—
171C2×D4×C37—21no—
172C2×D4×C37—41no—
173C2×D4×C37—41no—
174C2×D4×C37—81no—
175C2×D4×C37—81no—
176C2×D4×C37—82no—
177C2×D4×C37—81no—
178C2×D4×C37—82no—
179C2×D4×C37—82no—
180C2×D4×C37—82no—
181C2×D4×C37—82no—
182C2×D4×C37—82no—
183C2×D4×C37—82no—
184C2×D4×C37—82no—
185C2×D4×C37—82no—
186C2×D4×C37—84no—
187C2×D4×C37C2×D411yescharacteristic
188C2×D4×C37C2×D412yes—
189C22×C4×C37—22no—
190C22×C4×C37—22no—
191C22×C4×C37—21no—
192C22×C4×C37—21no—
193C22×C4×C37—22no—
194C22×C4×C37—21no—
195C22×C4×C37—81no—
196C22×C4×C37C2×D412yes—
197C22×C4×C37C2×D411yescharacteristic
198C22×C4×C37C2×D411yescharacteristic
199C22×C4×C37C2×D411yescharacteristic
200C22×C4×C37C2×D411yescharacteristic
201C22×C4×C37C2×D411yescharacteristic
202C22×C4×C37C2411yescharacteristic
203SD16×C37—81no—
204D8×C37—82no—
205D8×C37—81no—
206M16×C37—81no—
207C2×C8×C37—22no—
208C2×C8×C37—21no—
209C2×C8×C37—21no—
210C2×C8×C37—81no—
211C4⋊C4×C37—22no—
212C4⋊C4×C37—22no—
213C4⋊C4×C37—21no—
214C4⋊C4×C37—21no—
215C4⋊C4×C37—21no—
216C4⋊C4×C37—21no—
217C4⋊C4×C37—21no—
218C4⋊C4×C37—21no—
219C4⋊C4×C37—21no—
220C4⋊C4×C37C2×D411yescharacteristic
221C4⋊C4×C37C2×D412yes—
222C4⋊C4×C37C2×D411yescharacteristic
223C22⋊C4×C37—22no—
224C22⋊C4×C37—22no—
225C22⋊C4×C37—22no—
226C22⋊C4×C37—22no—
227C22⋊C4×C37—22no—
228C22⋊C4×C37—21no—
229C22⋊C4×C37—21no—
230C22⋊C4×C37—21no—
231C22⋊C4×C37—22no—
232C22⋊C4×C37—21no—
233C22⋊C4×C37—22no—
234C22⋊C4×C37—22no—
235C22⋊C4×C37—22no—
236C22⋊C4×C37—21no—
237C22⋊C4×C37—41no—
238C22⋊C4×C37—41no—
239C22⋊C4×C37—82no—
240C22⋊C4×C37—82no—
241C22⋊C4×C37—81no—
242C42×C37—22no—
243C42×C37—21no—
244C23×C37—22no—
245C23×C37—22no—
246C23×C37—22no—
247C23×C37—21no—
248C23×C37—22no—
249C23×C37—22no—
250C23×C37—41no—
251C23×C37—41no—
252C23×C37—42no—
253C23×C37—42no—
254C23×C37—42no—
255C23×C37—41no—
256C23×C37—41no—
257C23×C37—42no—
258C23×C37—41no—
259C23×C37—42no—
260C23×C37—81no—
261C23×C37—81no—
262C23×C37—82no—
263C23×C37—82no—
264C23×C37—82no—
265C23×C37#12011yescharacteristic
266C23×C37#12011yescharacteristic
267C23×C37C22×D411yescharacteristic
268Q8×C37—41no—
269D4×C37—42no—
270D4×C37—41no—
271D4×C37—42no—
272D4×C37—42no—
273D4×C37—42no—
274D4×C37—41no—
275D4×C37—41no—
276D4×C37—44no—
277D4×C37—42no—
278D4×C37—42no—
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—82no—
291D4×C37—82no—
292D4×C37—88no—
293C2×C4×C37—21no—
294C2×C4×C37—22no—
295C2×C4×C37—22no—
296C2×C4×C37—21no—
297C2×C4×C37—21no—
298C2×C4×C37—41no—
299C2×C4×C37—41no—
300C2×C4×C37—41no—
301C2×C4×C37—41no—
302C2×C4×C37—41no—
303C2×C4×C37—41no—
304C2×C4×C37—42no—
305C2×C4×C37—42no—
306C2×C4×C37—42no—
307C2×C4×C37—42no—
308C2×C4×C37—41no—
309C2×C4×C37—42no—
310C2×C4×C37—42no—
311C2×C4×C37—81no—
312C2×C4×C37—82no—
313C2×C4×C37—82no—
314C2×C4×C37#12011yescharacteristic
315C2×C4×C37#12011yescharacteristic
316C2×C4×C37C22×D411yescharacteristic
317C2×C4×C37C22×D411yescharacteristic
318C8×C37—42no—
319C8×C37—41no—
320C8×C37—41no—
321#18450C3711yesmaximal, characteristic, direct product factor, Sylow
322C22×C37—21no—
323C22×C37—21no—
324C22×C37—21no—
325C22×C37—21no—
326C22×C37—21no—
327C22×C37—21no—
328C22×C37—21no—
329C22×C37—21no—
330C22×C37—42no—
331C22×C37—42no—
332C22×C37—41no—
333C22×C37—42no—
334C22×C37—42no—
335C22×C37—41no—
336C22×C37—41no—
337C22×C37—42no—
338C22×C37—42no—
339C22×C37—82no—
340C22×C37—82no—
341C22×C37—82no—
342C22×C37—82no—
343C22×C37—82no—
344C22×C37—81no—
345C22×C37—81no—
346C22×C37—81no—
347C22×C37—162no—
348C22×C37—164no—
349C22×C37C2×#12011yescharacteristic
350C22×C37#57612yes—
351C4×C37—21no—
352C4×C37—21no—
353C4×C37—21no—
354C4×C37—21no—
355C4×C37—42no—
356C4×C37—41no—
357C4×C37—42no—
358C4×C37—41no—
359C4×C37—41no—
360C4×C37—82no—
361C4×C37—81no—
362#3537C2×C3711yescharacteristic, complemented
363#3194C2×C3711yescharacteristic, complemented
364#3186C2×C3711yescharacteristic, complemented
365#2815C2×C3711yescharacteristic, complemented
366#1612C2×C3712yescomplemented
367#1607C2×C3712yescomplemented
368#1600C2×C3712yescomplemented
369#1595C2×C3712yescomplemented
370#1516C2×C3711yescharacteristic, complemented
371#1510C2×C3711yescharacteristic, complemented
372#1471C2×C3711yescharacteristic, complemented
373C2×C37—22no—
374C2×C37—41no—
375C2×C37—41no—
376C2×C37—82no—
377C2×C37—82no—
378C2×C37—81no—
379C2×C37—161no—
380C2×C37#300811yescharacteristic
381C2×C37#301911yescharacteristic
382C2×C37#302611yescharacteristic
383#560—22no—
384#553—21no—
385#553—21no—
386D42—22no—
387D42—21no—
388D42—21no—
389#540—21no—
390#538—21no—
391#538C22×C3712yes—
392#535—21no—
393#534—21no—
394#534C22×C3712yes—
395#525C22×C3711yescharacteristic
396C2×#121C22×C3711yescharacteristic
397C2×#121C22×C3711yescharacteristic
398C2×#121C22×C3711yescharacteristic, complemented
399#483C22×C3711yescharacteristic, complemented
400#482—21no—
401#480—21no—
402#480C22×C3711yescharacteristic, complemented
403#480C22×C3712yescomplemented
404#469—21no—
405#468—21no—
406#466—22no—
407#450C22×C3711yescharacteristic, complemented
408#449—21no—
409#447—21no—
410#447C22×C3711yescharacteristic, complemented
411#447C22×C3712yescomplemented
412#407C22×C3711yescharacteristic, complemented
413C2×C22⋊C8C22×C3711yescharacteristic, complemented
414#397—21no—
415#397C22×C3712yescomplemented
416#392—21no—
417#392—22no—
418#392C22×C3712yescomplemented
419#381C22×C3711yescharacteristic, complemented
420#328C22×C3712yescomplemented
421#327C22×C3712yescomplemented
422#327C22×C3712yescomplemented
423#327C22×C3712yescomplemented
424#323C22×C3712yescomplemented
425#323C22×C3712yescomplemented
426C37#1845011yescharacteristic, direct product factor, Sylow
427C2×#41D4×C3711yescharacteristic, complemented
428C22×D4—22no—
429C22×D4—21no—
430C22×D4—21no—
431C22×D4—22no—
432C22×D4—21no—
433C22×D4—22no—
434C22×D4D4×C3712yes—
435C22×D4D4×C3711yescharacteristic
436C22×D4D4×C3711yescharacteristic, complemented
437C22×D4C23×C3711yescharacteristic
438C23×C4C23×C3711yescharacteristic
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×C3711yescharacteristic, complemented
456C22⋊Q8C23×C3711yescharacteristic
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×C3712yescomplemented
476#121D4×C3711yescharacteristic, complemented
477#121C23×C3712yes—
478#121C23×C3711yescharacteristic
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×C3711yescharacteristic, complemented
494C2×C4⋊C4D4×C3711yescharacteristic
495C2×C4⋊C4D4×C3711yescharacteristic, complemented
496C2×C4⋊C4C23×C3711yescharacteristic
497C2×C22⋊C4—21no—
498C2×C22⋊C4—21no—
499C2×C22⋊C4—21no—
500C2×C22⋊C4—22no—
501C2×C22⋊C4—22no—
502C2×C22⋊C4C23×C3712yes—
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×C3711yescharacteristic
515C22⋊C8C23×C3711yescharacteristic
516C22⋊C8C23×C3712yes—
517#95—21no—
518#95—22no—
519#95C23×C3712yes—
520C24—22no—
521C24—21no—
522C24—21no—
523C24C2×D4×C3712yes—
524C24C2×D4×C3711yescharacteristic
525#41—81no—
526C2×Q8C2×D4×C3711yescharacteristic
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×C3711yescharacteristic
560C2×D4C2×D4×C3712yes—
561C22×C4—22no—
562C22×C4—22no—
563C22×C4—21no—
564C22×C4—21no—
565C22×C4—22no—
566C22×C4—21no—
567C22×C4—81no—
568C22×C4C2×D4×C3712yes—
569C22×C4C2×D4×C3711yescharacteristic
570C22×C4C2×D4×C3711yescharacteristic
571C22×C4C2×D4×C3711yescharacteristic
572C22×C4C2×D4×C3711yescharacteristic
573C22×C4C2×D4×C3711yescharacteristic
574C22×C4C24×C3711yescharacteristic
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×C3711yescharacteristic
593C4⋊C4C2×D4×C3712yes—
594C4⋊C4C2×D4×C3711yescharacteristic
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×C3711yescharacteristic
638C23#120×C3711yescharacteristic
639C23C22×D4×C3711yescharacteristic
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×C3711yescharacteristic
687C2×C4#120×C3711yescharacteristic
688C2×C4C22×D4×C3711yescharacteristic
689C2×C4C22×D4×C3711yescharacteristic
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×C3711yescharacteristic
721C22C37×#57612yes—
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—
740C2C37×#300811yescharacteristic
741C2C37×#301911yescharacteristic
742C2C37×#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×#3194C2semidirect
3. C37×#3186C2semidirect
4. C37×#2815C2semidirect
5. C37×#1612C2semidirect
6. C37×#1607C2semidirect
7. C37×#1600C2semidirect
8. C37×#1595C2semidirect
9. C37×#1516C2semidirect
10. C37×#1510C2semidirect
11. C37×#1471C2semidirect
27. C2×#121×C37C22semidirect
28. C37×#483C22semidirect
31. C37×#480C22semidirect
32. C37×#480C22semidirect
36. C37×#450C22semidirect
39. C37×#447C22semidirect
40. C37×#447C22semidirect
41. C37×#407C22semidirect
42. C2×C22⋊C8×C37C22semidirect
44. C37×#397C22semidirect
47. C37×#392C22semidirect
48. C37×#381C22semidirect
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
83. C22⋊Q8×C37D4semidirect
103. #121×C37D4semidirect
104. #121×C37D4semidirect
121. #117×C37D4semidirect
123. C2×C4⋊C4×C37D4semidirect
321. #18450C37direct (N × H)
362. #3537C2×C37semidirect
363. #3194C2×C37semidirect
364. #3186C2×C37semidirect
365. #2815C2×C37semidirect
366. #1612C2×C37semidirect
367. #1607C2×C37semidirect
368. #1600C2×C37semidirect
369. #1595C2×C37semidirect
370. #1516C2×C37semidirect
371. #1510C2×C37semidirect
372. #1471C2×C37semidirect
398. C2×#121C22×C37semidirect
399. #483C22×C37semidirect
402. #480C22×C37semidirect
403. #480C22×C37semidirect
407. #450C22×C37semidirect
410. #447C22×C37semidirect
411. #447C22×C37semidirect
412. #407C22×C37semidirect
413. C2×C22⋊C8C22×C37semidirect
415. #397C22×C37semidirect
418. #392C22×C37semidirect
419. #381C22×C37semidirect
420. #328C22×C37semidirect
421. #327C22×C37semidirect
422. #327C22×C37semidirect
423. #327C22×C37semidirect
424. #323C22×C37semidirect
425. #323C22×C37semidirect
426. C37#18450direct (N × H)
427. C2×#41D4×C37semidirect
436. C22×D4D4×C37semidirect
455. C22⋊Q8D4×C37semidirect
475. #121D4×C37semidirect
476. #121D4×C37semidirect
493. #117D4×C37semidirect
495. 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×#31942
C37×#31862
C37×#28152
C37×#16122
C37×#16072
C37×#16002
C37×#15952
C37×#15162
C37×#15102
C37×#14712
#1845037