Finite Group Databasebeta

← C37×#18240 #22639493

Subgroups — C37×#18240 #22639493

Order 9472.

1056 conjugacy classes of subgroups.

The subgroup lattice has 698 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C37×#3558C211yesmaximal, characteristic, complemented
2C37×#3114C211yesmaximal, characteristic, complemented
3C37×#3100C211yesmaximal, characteristic, complemented
4C37×#2631C211yesmaximal, characteristic, complemented
5C37×#1612C212yesmaximal, complemented
6C37×#1607C212yesmaximal, complemented
7C37×#1600C212yesmaximal, complemented
8C37×#1595C212yesmaximal, complemented
9C37×#1521C211yesmaximal, characteristic, complemented
10C37×#1514C211yesmaximal, characteristic, complemented
11C37×#1469C211yesmaximal, characteristic, complemented
12C37×#562—21no—
13C37×H(3,𝔽4)—21no—
14C37×#559—21no—
15C37×#548—21no—
16C37×#546—21no—
17C37×#546—22no—
18D42×C37—21no—
19C37×#542—21no—
20C37×#538—22no—
21C37×#538C2212yes—
22C37×#535—21no—
23C37×#534C2212yes—
24C37×#532C2211yescharacteristic
25C37×#529C2211yescharacteristic
26C2×#124×C37C2211yescharacteristic
27C2×C4×D4×C37C2211yescharacteristic, complemented
28C37×#483C2211yescharacteristic, complemented
29C37×#480C2211yescharacteristic
30C37×#480C2212yescomplemented
31C37×#478—21no—
32C37×#474—21no—
33C37×#463—21no—
34C37×#459—21no—
35C37×#450C2211yescharacteristic, complemented
36C37×#447C2211yescharacteristic
37C37×#447C2212yescomplemented
38C37×#442—21no—
39C37×#440—21no—
40C4×D8×C37—22no—
41C37×#432C2211yescharacteristic, complemented
42C37×#431C2211yescharacteristic, complemented
43C37×#397C2212yescomplemented
44C37×#393—21no—
45C37×#392—21no—
46C37×#392C2212yescomplemented
47C37×#386—22no—
48C37×#383C2211yescharacteristic, complemented
49C37×#328C2212yescomplemented
50C37×#327C2212yes—
51C37×#327C2212yescomplemented
52C37×#327C2212yescomplemented
53C37×#323C2212yescomplemented
54C37×#323C2212yescomplemented
55C2×#41×C37—21no—
56C2×#41×C37—21no—
57C22×Q8×C37D411yescharacteristic
58C22×D4×C37—21no—
59C22×D4×C37—22no—
60C22×D4×C37—22no—
61C22×D4×C37D411yescharacteristic
62C22×D4×C37C2311yescharacteristic
63C23×C4×C37—21no—
64C2×SD16×C37—21no—
65C2×D8×C37—22no—
66C2×D8×C37—21no—
67C4⋊Q8×C37D411yescharacteristic, complemented
68#127×C37—21no—
69#127×C37D411yescharacteristic, complemented
70#126×C37—22no—
71#126×C37—21no—
72#125×C37D411yescharacteristic, complemented
73#124×C37—21no—
74#124×C37—22no—
75#124×C37—22no—
76#124×C37—22no—
77#124×C37—21no—
78#124×C37—21no—
79#124×C37—21no—
80#124×C37—21no—
81#124×C37—21no—
82#124×C37D411yescharacteristic, complemented
83#123×C37—22no—
84#123×C37—21no—
85#123×C37—22no—
86#123×C37—22no—
87#123×C37—22no—
88C22⋊Q8×C37—22no—
89C22⋊Q8×C37—21no—
90C22⋊Q8×C37—22no—
91C22⋊Q8×C37C2311yescharacteristic
92#121×C37—22no—
93#121×C37—22no—
94#121×C37—22no—
95#121×C37—21no—
96#121×C37—22no—
97#121×C37—21no—
98#121×C37—22no—
99#121×C37C2311yescharacteristic
100#121×C37C2312yes—
101#120×C37—22no—
102#120×C37—22no—
103#120×C37—22no—
104#120×C37—22no—
105#120×C37—22no—
106C4×Q8×C37—21no—
107C4×Q8×C37D411yescharacteristic, complemented
108C4×D4×C37—22no—
109C4×D4×C37—21no—
110C4×D4×C37—21no—
111C4×D4×C37—22no—
112C4×D4×C37—21no—
113C4×D4×C37—21no—
114C4×D4×C37—21no—
115C4×D4×C37—21no—
116C4×D4×C37—21no—
117C4×D4×C37D411yescharacteristic, complemented
118C4×D4×C37D412yescomplemented
119#117×C37—21no—
120C2×C4⋊C4×C37C2311yescharacteristic
121C2×C22⋊C4×C37—22no—
122C2×C22⋊C4×C37—21no—
123C2×C22⋊C4×C37—22no—
124C2×C22⋊C4×C37—22no—
125C2×C22⋊C4×C37D412yes—
126C2×C22⋊C4×C37C2312yes—
127C2×C42×C37C2311yescharacteristic
128#107×C37—22no—
129#107×C37—21no—
130#106×C37—21no—
131C4⋊C8×C37—21no—
132C4⋊C8×C37—21no—
133#103×C37—21no—
134#102×C37—22no—
135#102×C37—21no—
136#102×C37—22no—
137#102×C37—21no—
138#102×C37—21no—
139C22⋊C8×C37C2312yes—
140C22⋊C8×C37C2311yescharacteristic
141C22⋊C8×C37C2311yescharacteristic
142#97×C37—21no—
143C4×C8×C37—21no—
144#95×C37—21no—
145#95×C37—21no—
146#95×C37—22no—
147#95×C37C2312yes—
148C24×C37—22no—
149C24×C37—21no—
150C24×C37C2×D412yes—
151#41×C37—82no—
152#41×C37—82no—
153C2×Q8×C37—21no—
154C2×Q8×C37—21no—
155C2×Q8×C37—21no—
156C2×Q8×C37—81no—
157C2×Q8×C37C2×D411yescharacteristic
158C2×D4×C37—22no—
159C2×D4×C37—21no—
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—21no—
167C2×D4×C37—21no—
168C2×D4×C37—21no—
169C2×D4×C37—21no—
170C2×D4×C37—21no—
171C2×D4×C37—42no—
172C2×D4×C37—44no—
173C2×D4×C37—82no—
174C2×D4×C37—81no—
175C2×D4×C37—82no—
176C2×D4×C37—82no—
177C2×D4×C37—82no—
178C2×D4×C37—82no—
179C2×D4×C37C2×D411yescharacteristic
180C2×D4×C37C2×D412yes—
181C22×C4×C37—22no—
182C22×C4×C37—22no—
183C22×C4×C37—21no—
184C22×C4×C37—22no—
185C22×C4×C37—22no—
186C22×C4×C37—21no—
187C22×C4×C37—41no—
188C22×C4×C37—41no—
189C22×C4×C37—82no—
190C22×C4×C37C2×D411yescharacteristic
191C22×C4×C37C2×D412yes—
192C22×C4×C37C2×D411yescharacteristic
193C22×C4×C37C2411yescharacteristic
194SD16×C37—42no—
195D8×C37—44no—
196D8×C37—42no—
197C2×C8×C37—22no—
198C2×C8×C37—21no—
199C2×C8×C37—21no—
200C4⋊C4×C37—22no—
201C4⋊C4×C37—22no—
202C4⋊C4×C37—21no—
203C4⋊C4×C37—21no—
204C4⋊C4×C37—21no—
205C4⋊C4×C37—21no—
206C4⋊C4×C37—21no—
207C4⋊C4×C37—21no—
208C4⋊C4×C37—21no—
209C4⋊C4×C37C2×D411yescharacteristic
210C4⋊C4×C37C2×D412yes—
211C4⋊C4×C37C2×D411yescharacteristic
212C22⋊C4×C37—22no—
213C22⋊C4×C37—22no—
214C22⋊C4×C37—22no—
215C22⋊C4×C37—22no—
216C22⋊C4×C37—22no—
217C22⋊C4×C37—21no—
218C22⋊C4×C37—21no—
219C22⋊C4×C37—22no—
220C22⋊C4×C37—22no—
221C22⋊C4×C37—21no—
222C22⋊C4×C37—21no—
223C22⋊C4×C37—22no—
224C22⋊C4×C37—22no—
225C22⋊C4×C37—22no—
226C22⋊C4×C37—21no—
227C22⋊C4×C37—22no—
228C22⋊C4×C37—41no—
229C22⋊C4×C37—41no—
230C22⋊C4×C37—82no—
231C22⋊C4×C37—82no—
232C42×C37—22no—
233C42×C37—21no—
234C42×C37C2×D411yescharacteristic
235C42×C37C2×D411yescharacteristic
236C42×C37C2×D411yescharacteristic
237C42×C37C2×D411yescharacteristic
238C23×C37—22no—
239C23×C37—22no—
240C23×C37—21no—
241C23×C37—22no—
242C23×C37—22no—
243C23×C37—22no—
244C23×C37—42no—
245C23×C37—41no—
246C23×C37—42no—
247C23×C37—42no—
248C23×C37—41no—
249C23×C37—42no—
250C23×C37—82no—
251C23×C37—82no—
252C23×C37—82no—
253C23×C37C22×D411yescharacteristic
254Q8×C37—41no—
255Q8×C37—42no—
256Q8×C37—81no—
257Q8×C37—81no—
258D4×C37—22no—
259D4×C37—22no—
260D4×C37—42no—
261D4×C37—41no—
262D4×C37—41no—
263D4×C37—41no—
264D4×C37—42no—
265D4×C37—42no—
266D4×C37—42no—
267D4×C37—42no—
268D4×C37—42no—
269D4×C37—81no—
270D4×C37—81no—
271D4×C37—82no—
272D4×C37—82no—
273D4×C37—82no—
274D4×C37—82no—
275D4×C37—82no—
276D4×C37—88no—
277C2×C4×C37—22no—
278C2×C4×C37—21no—
279C2×C4×C37—22no—
280C2×C4×C37—22no—
281C2×C4×C37—21no—
282C2×C4×C37—21no—
283C2×C4×C37—41no—
284C2×C4×C37—41no—
285C2×C4×C37—42no—
286C2×C4×C37—42no—
287C2×C4×C37—42no—
288C2×C4×C37—42no—
289C2×C4×C37—41no—
290C2×C4×C37—42no—
291C2×C4×C37—42no—
292C2×C4×C37—82no—
293C2×C4×C37—82no—
294C2×C4×C37—82no—
295C2×C4×C37—82no—
296C2×C4×C37—82no—
297C2×C4×C37#12011yescharacteristic
298C2×C4×C37#12011yescharacteristic
299C2×C4×C37#12011yescharacteristic
300C2×C4×C37#12011yescharacteristic
301C2×C4×C37C22×D411yescharacteristic
302C2×C4×C37C22×D411yescharacteristic
303C8×C37—42no—
304C8×C37—41no—
305C8×C37—41no—
306#18240C3711yesmaximal, characteristic, direct product factor, Sylow
307C22×C37—21no—
308C22×C37—21no—
309C22×C37—44no—
310C22×C37—42no—
311C22×C37—42no—
312C22×C37—41no—
313C22×C37—41no—
314C22×C37—42no—
315C22×C37—42no—
316C22×C37—42no—
317C22×C37—42no—
318C22×C37—41no—
319C22×C37—42no—
320C22×C37—82no—
321C22×C37—82no—
322C22×C37—82no—
323C22×C37—81no—
324C22×C37—81no—
325C22×C37—164no—
326C22×C37C2×#12011yescharacteristic
327C22×C37#57612yes—
328C4×C37—21no—
329C4×C37—21no—
330C4×C37—21no—
331C4×C37—21no—
332C4×C37—21no—
333C4×C37—21no—
334C4×C37—41no—
335C4×C37—42no—
336C4×C37—41no—
337C4×C37—42no—
338C4×C37—41no—
339C4×C37—82no—
340C4×C37—81no—
341#3558C2×C3711yescharacteristic, complemented
342#3114C2×C3711yescharacteristic, complemented
343#3100C2×C3711yescharacteristic, complemented
344#2631C2×C3711yescharacteristic, complemented
345#1612C2×C3712yescomplemented
346#1607C2×C3712yescomplemented
347#1600C2×C3712yescomplemented
348#1595C2×C3712yescomplemented
349#1521C2×C3711yescharacteristic, complemented
350#1514C2×C3711yescharacteristic, complemented
351#1469C2×C3711yescharacteristic, complemented
352C2×C37—22no—
353C2×C37—82no—
354C2×C37—82no—
355C2×C37—82no—
356C2×C37—81no—
357C2×C37#300811yescharacteristic
358C2×C37#301911yescharacteristic
359C2×C37#302511yescharacteristic
360#562—21no—
361H(3,𝔽4)—21no—
362#559—21no—
363#548—21no—
364#546—21no—
365#546—22no—
366D42—21no—
367#542—21no—
368#538—22no—
369#538C22×C3712yes—
370#535—21no—
371#534C22×C3712yes—
372#532C22×C3711yescharacteristic
373#529C22×C3711yescharacteristic
374C2×#124C22×C3711yescharacteristic
375C2×C4×D4C22×C3711yescharacteristic, complemented
376#483C22×C3711yescharacteristic, complemented
377#480C22×C3711yescharacteristic
378#480C22×C3712yescomplemented
379#478—21no—
380#474—21no—
381#463—21no—
382#459—21no—
383#450C22×C3711yescharacteristic, complemented
384#447C22×C3711yescharacteristic
385#447C22×C3712yescomplemented
386#442—21no—
387#440—21no—
388C4×D8—22no—
389#432C22×C3711yescharacteristic, complemented
390#431C22×C3711yescharacteristic, complemented
391#397C22×C3712yescomplemented
392#393—21no—
393#392—21no—
394#392C22×C3712yescomplemented
395#386—22no—
396#383C22×C3711yescharacteristic, complemented
397#328C22×C3712yescomplemented
398#327C22×C3712yes—
399#327C22×C3712yescomplemented
400#327C22×C3712yescomplemented
401#323C22×C3712yescomplemented
402#323C22×C3712yescomplemented
403C37#1824011yescharacteristic, direct product factor, Sylow
404C2×#41—21no—
405C2×#41—21no—
406C22×Q8D4×C3711yescharacteristic
407C22×D4—21no—
408C22×D4—22no—
409C22×D4—22no—
410C22×D4D4×C3711yescharacteristic
411C22×D4C23×C3711yescharacteristic
412C23×C4—21no—
413C2×SD16—21no—
414C2×D8—22no—
415C2×D8—21no—
416C4⋊Q8D4×C3711yescharacteristic, complemented
417#127—21no—
418#127D4×C3711yescharacteristic, complemented
419#126—22no—
420#126—21no—
421#125D4×C3711yescharacteristic, complemented
422#124—21no—
423#124—22no—
424#124—22no—
425#124—22no—
426#124—21no—
427#124—21no—
428#124—21no—
429#124—21no—
430#124—21no—
431#124D4×C3711yescharacteristic, complemented
432#123—22no—
433#123—21no—
434#123—22no—
435#123—22no—
436#123—22no—
437C22⋊Q8—22no—
438C22⋊Q8—21no—
439C22⋊Q8—22no—
440C22⋊Q8C23×C3711yescharacteristic
441#121—22no—
442#121—22no—
443#121—22no—
444#121—21no—
445#121—22no—
446#121—21no—
447#121—22no—
448#121C23×C3711yescharacteristic
449#121C23×C3712yes—
450#120—22no—
451#120—22no—
452#120—22no—
453#120—22no—
454#120—22no—
455C4×Q8—21no—
456C4×Q8D4×C3711yescharacteristic, complemented
457C4×D4—22no—
458C4×D4—21no—
459C4×D4—21no—
460C4×D4—22no—
461C4×D4—21no—
462C4×D4—21no—
463C4×D4—21no—
464C4×D4—21no—
465C4×D4—21no—
466C4×D4D4×C3711yescharacteristic, complemented
467C4×D4D4×C3712yescomplemented
468#117—21no—
469C2×C4⋊C4C23×C3711yescharacteristic
470C2×C22⋊C4—22no—
471C2×C22⋊C4—21no—
472C2×C22⋊C4—22no—
473C2×C22⋊C4—22no—
474C2×C22⋊C4D4×C3712yes—
475C2×C22⋊C4C23×C3712yes—
476C2×C42C23×C3711yescharacteristic
477#107—22no—
478#107—21no—
479#106—21no—
480C4⋊C8—21no—
481C4⋊C8—21no—
482#103—21no—
483#102—22no—
484#102—21no—
485#102—22no—
486#102—21no—
487#102—21no—
488C22⋊C8C23×C3712yes—
489C22⋊C8C23×C3711yescharacteristic
490C22⋊C8C23×C3711yescharacteristic
491#97—21no—
492C4×C8—21no—
493#95—21no—
494#95—21no—
495#95—22no—
496#95C23×C3712yes—
497C24—22no—
498C24—21no—
499C24C2×D4×C3712yes—
500#41—82no—
501#41—82no—
502C2×Q8—21no—
503C2×Q8—21no—
504C2×Q8—21no—
505C2×Q8—81no—
506C2×Q8C2×D4×C3711yescharacteristic
507C2×D4—22no—
508C2×D4—21no—
509C2×D4—22no—
510C2×D4—22no—
511C2×D4—22no—
512C2×D4—22no—
513C2×D4—22no—
514C2×D4—21no—
515C2×D4—21no—
516C2×D4—21no—
517C2×D4—21no—
518C2×D4—21no—
519C2×D4—21no—
520C2×D4—42no—
521C2×D4—44no—
522C2×D4—82no—
523C2×D4—81no—
524C2×D4—82no—
525C2×D4—82no—
526C2×D4—82no—
527C2×D4—82no—
528C2×D4C2×D4×C3711yescharacteristic
529C2×D4C2×D4×C3712yes—
530C22×C4—22no—
531C22×C4—22no—
532C22×C4—21no—
533C22×C4—22no—
534C22×C4—22no—
535C22×C4—21no—
536C22×C4—41no—
537C22×C4—41no—
538C22×C4—82no—
539C22×C4C2×D4×C3711yescharacteristic
540C22×C4C2×D4×C3712yes—
541C22×C4C2×D4×C3711yescharacteristic
542C22×C4C24×C3711yescharacteristic
543SD16—42no—
544D8—44no—
545D8—42no—
546C2×C8—22no—
547C2×C8—21no—
548C2×C8—21no—
549C4⋊C4—22no—
550C4⋊C4—22no—
551C4⋊C4—21no—
552C4⋊C4—21no—
553C4⋊C4—21no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—21no—
557C4⋊C4—21no—
558C4⋊C4C2×D4×C3711yescharacteristic
559C4⋊C4C2×D4×C3712yes—
560C4⋊C4C2×D4×C3711yescharacteristic
561C22⋊C4—22no—
562C22⋊C4—22no—
563C22⋊C4—22no—
564C22⋊C4—22no—
565C22⋊C4—22no—
566C22⋊C4—21no—
567C22⋊C4—21no—
568C22⋊C4—22no—
569C22⋊C4—22no—
570C22⋊C4—21no—
571C22⋊C4—21no—
572C22⋊C4—22no—
573C22⋊C4—22no—
574C22⋊C4—22no—
575C22⋊C4—21no—
576C22⋊C4—22no—
577C22⋊C4—41no—
578C22⋊C4—41no—
579C22⋊C4—82no—
580C22⋊C4—82no—
581C42—22no—
582C42—21no—
583C42C2×D4×C3711yescharacteristic
584C42C2×D4×C3711yescharacteristic
585C42C2×D4×C3711yescharacteristic
586C42C2×D4×C3711yescharacteristic
587C23—22no—
588C23—22no—
589C23—21no—
590C23—22no—
591C23—22no—
592C23—22no—
593C23—42no—
594C23—41no—
595C23—42no—
596C23—42no—
597C23—41no—
598C23—42no—
599C23—82no—
600C23—82no—
601C23—82no—
602C23C22×D4×C3711yescharacteristic
603Q8—41no—
604Q8—42no—
605Q8—81no—
606Q8—81no—
607D4—22no—
608D4—22no—
609D4—42no—
610D4—41no—
611D4—41no—
612D4—41no—
613D4—42no—
614D4—42no—
615D4—42no—
616D4—42no—
617D4—42no—
618D4—81no—
619D4—81no—
620D4—82no—
621D4—82no—
622D4—82no—
623D4—82no—
624D4—82no—
625D4—88no—
626C2×C4—22no—
627C2×C4—21no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—42no—
635C2×C4—42no—
636C2×C4—42no—
637C2×C4—42no—
638C2×C4—41no—
639C2×C4—42no—
640C2×C4—42no—
641C2×C4—82no—
642C2×C4—82no—
643C2×C4—82no—
644C2×C4—82no—
645C2×C4—82no—
646C2×C4#120×C3711yescharacteristic
647C2×C4#120×C3711yescharacteristic
648C2×C4#120×C3711yescharacteristic
649C2×C4#120×C3711yescharacteristic
650C2×C4C22×D4×C3711yescharacteristic
651C2×C4C22×D4×C3711yescharacteristic
652C8—42no—
653C8—41no—
654C8—41no—
655C22—21no—
656C22—21no—
657C22—44no—
658C22—42no—
659C22—42no—
660C22—41no—
661C22—41no—
662C22—42no—
663C22—42no—
664C22—42no—
665C22—42no—
666C22—41no—
667C22—42no—
668C22—82no—
669C22—82no—
670C22—82no—
671C22—81no—
672C22—81no—
673C22—164no—
674C22C2×#120×C3711yescharacteristic
675C22C37×#57612yes—
676C4—21no—
677C4—21no—
678C4—21no—
679C4—21no—
680C4—21no—
681C4—21no—
682C4—41no—
683C4—42no—
684C4—41no—
685C4—42no—
686C4—41no—
687C4—82no—
688C4—81no—
689C2—22no—
690C2—82no—
691C2—82no—
692C2—81no—
693C2—82no—
694C2C37×#300811yescharacteristic
695C2C37×#301911yescharacteristic
696C2C37×#302511yescharacteristic
subgroupG/H
center, socleC22×C37C2×#120
commutator, Frattini, cosocleC22×C4C24×C37
LCSG ▷ C22×C4 ▷ C22 ▷ C1
UCSC1 ◁ C22×C37 ◁ C2×C42×C37 ◁ G

Complements

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

NH ≅ G/Ntype
1. C37×#3558C2semidirect
2. C37×#3114C2semidirect
3. C37×#3100C2semidirect
4. C37×#2631C2semidirect
5. C37×#1612C2semidirect
6. C37×#1607C2semidirect
7. C37×#1600C2semidirect
8. C37×#1595C2semidirect
9. C37×#1521C2semidirect
10. C37×#1514C2semidirect
11. C37×#1469C2semidirect
27. C2×C4×D4×C37C22semidirect
28. C37×#483C22semidirect
30. C37×#480C22semidirect
35. C37×#450C22semidirect
37. C37×#447C22semidirect
41. C37×#432C22semidirect
42. C37×#431C22semidirect
43. C37×#397C22semidirect
46. C37×#392C22semidirect
48. C37×#383C22semidirect
49. C37×#328C22semidirect
51. C37×#327C22semidirect
52. C37×#327C22semidirect
53. C37×#323C22semidirect
54. C37×#323C22semidirect
67. C4⋊Q8×C37D4semidirect
69. #127×C37D4semidirect
72. #125×C37D4semidirect
82. #124×C37D4semidirect
107. C4×Q8×C37D4semidirect
117. C4×D4×C37D4semidirect
118. C4×D4×C37D4semidirect
306. #18240C37direct (N × H)
341. #3558C2×C37semidirect
342. #3114C2×C37semidirect
343. #3100C2×C37semidirect
344. #2631C2×C37semidirect
345. #1612C2×C37semidirect
346. #1607C2×C37semidirect
347. #1600C2×C37semidirect
348. #1595C2×C37semidirect
349. #1521C2×C37semidirect
350. #1514C2×C37semidirect
351. #1469C2×C37semidirect
375. C2×C4×D4C22×C37semidirect
376. #483C22×C37semidirect
378. #480C22×C37semidirect
383. #450C22×C37semidirect
385. #447C22×C37semidirect
389. #432C22×C37semidirect
390. #431C22×C37semidirect
391. #397C22×C37semidirect
394. #392C22×C37semidirect
396. #383C22×C37semidirect
397. #328C22×C37semidirect
399. #327C22×C37semidirect
400. #327C22×C37semidirect
401. #323C22×C37semidirect
402. #323C22×C37semidirect
403. C37#18240direct (N × H)
416. C4⋊Q8D4×C37semidirect
418. #127D4×C37semidirect
421. #125D4×C37semidirect
431. #124D4×C37semidirect
456. C4×Q8D4×C37semidirect
466. C4×D4D4×C37semidirect
467. C4×D4D4×C37semidirect

Maximal subgroups

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

subgroupindex
C37×#35582
C37×#31142
C37×#31002
C37×#26312
C37×#16122
C37×#16072
C37×#16002
C37×#15952
C37×#15212
C37×#15142
C37×#14692
#1824037