Finite Group Databasebeta

← C37×#18100 #22639353

Subgroups — C37×#18100 #22639353

Order 9472.

1256 conjugacy classes of subgroups.

The subgroup lattice has 714 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C37×#3459C211yesmaximal, characteristic, complemented
2C37×#3002C212yesmaximal, complemented
3C37×#2388C211yesmaximal, characteristic, complemented
4C37×#1603C212yesmaximal, complemented
5C37×#1602C211yesmaximal, characteristic, complemented
6C37×#1601C211yesmaximal, characteristic, complemented
7C37×#1597C212yesmaximal, complemented
8C37×#1596C211yesmaximal, characteristic, complemented
9C37×#1595C211yesmaximal, characteristic, complemented
10C37×#1501C212yesmaximal, complemented
11C37×#1459C211yesmaximal, characteristic, complemented
12C22×#41×C37C2211yescharacteristic, complemented
13C2×#135×C37—22no—
14C37×#543C2211yescharacteristic
15C37×#539—22no—
16C37×#539C2212yes—
17C37×#538—22no—
18C37×#538—21no—
19C37×#534—21no—
20C37×#534C2211yescharacteristic
21C37×#529—22no—
22C37×#529—21no—
23C37×#525—22no—
24C37×#525C2212yes—
25C2×C4×D4×C37—21no—
26C2×C4×D4×C37—21no—
27C2×C4×D4×C37C2211yescharacteristic
28C37×#452—22no—
29C37×#451C2212yescomplemented
30C37×#450C2212yescomplemented
31C37×#449—22no—
32C37×#448C2212yes—
33C37×#447C2212yes—
34C37×#416—22no—
35C2×C22⋊C8×C37C2212yescomplemented
36C37×#395C2211yescharacteristic, complemented
37C37×#394—21no—
38C37×#394C2211yescharacteristic, complemented
39C37×#393C2211yescharacteristic
40C37×#392—21no—
41C37×#392C2211yescharacteristic
42C4×C22⋊C4×C37—21no—
43C4×C22⋊C4×C37C2211yescharacteristic, complemented
44C37×#328C2212yescomplemented
45C37×#328C2212yescomplemented
46C37×#327C2212yes—
47C37×#327C2212yes—
48C37×#324C2212yescomplemented
49C37×#323C2211yescharacteristic
50C37×#323C2211yescharacteristic
51C2×#41×C37—22no—
52C2×#41×C37—22no—
53C2×#41×C37—44no—
54C2×#41×C37D412yescomplemented
55C22×Q8×C37C2311yescharacteristic
56C22×D4×C37—21no—
57C22×D4×C37—21no—
58C22×D4×C37—21no—
59C22×D4×C37D411yescharacteristic
60C22×D4×C37C2311yescharacteristic
61C23×C4×C37—21no—
62C23×C4×C37—21no—
63C23×C4×C37D411yescharacteristic
64C23×C4×C37C2311yescharacteristic
65#135×C37—48no—
66C2×Q16×C37—22no—
67C2×SD16×C37—22no—
68C2×SD16×C37—22no—
69C2×D8×C37—22no—
70C22×C8×C37—22no—
71#126×C37—22no—
72#126×C37—22no—
73#126×C37—22no—
74#125×C37—21no—
75#125×C37—22no—
76#124×C37—22no—
77#124×C37—21no—
78#123×C37—22no—
79#123×C37—22no—
80#123×C37—22no—
81#123×C37—22no—
82#123×C37—22no—
83#123×C37—22no—
84C22⋊Q8×C37—22no—
85C22⋊Q8×C37—22no—
86C22⋊Q8×C37—21no—
87C22⋊Q8×C37—22no—
88C22⋊Q8×C37D412yescomplemented
89C22⋊Q8×C37C2312yes—
90#121×C37—22no—
91#121×C37—22no—
92#121×C37—22no—
93#121×C37—21no—
94#121×C37D412yescomplemented
95#121×C37C2312yes—
96#120×C37—22no—
97#120×C37—22no—
98#120×C37—22no—
99C4×Q8×C37—21no—
100C4×D4×C37—21no—
101C4×D4×C37—22no—
102C4×D4×C37—22no—
103C4×D4×C37—22no—
104C4×D4×C37—22no—
105C4×D4×C37—22no—
106C4×D4×C37—22no—
107C4×D4×C37—22no—
108C4×D4×C37—44no—
109#117×C37—22no—
110#117×C37D412yescomplemented
111C2×C4⋊C4×C37—21no—
112C2×C4⋊C4×C37—21no—
113C2×C4⋊C4×C37C2311yescharacteristic
114C2×C22⋊C4×C37—21no—
115C2×C22⋊C4×C37—21no—
116C2×C22⋊C4×C37—21no—
117C2×C22⋊C4×C37—21no—
118C2×C22⋊C4×C37—21no—
119C2×C22⋊C4×C37—21no—
120C2×C22⋊C4×C37—21no—
121C2×C22⋊C4×C37D411yescharacteristic
122C2×C22⋊C4×C37C2311yescharacteristic
123C2×C42×C37—21no—
124C2×C42×C37—21no—
125C2×C42×C37D411yescharacteristic
126#103×C37—22no—
127#103×C37—22no—
128#102×C37—22no—
129#102×C37—22no—
130C22⋊C8×C37—22no—
131C22⋊C8×C37C2312yes—
132C22⋊C8×C37C2312yes—
133#95×C37—21no—
134#95×C37—21no—
135#95×C37C2311yescharacteristic
136#95×C37C2311yescharacteristic
137C24×C37—21no—
138C24×C37—21no—
139C24×C37C2×D411yescharacteristic
140C24×C37C2×D411yescharacteristic
141#41×C37—28no—
142#41×C37—44no—
143#41×C37—44no—
144#41×C37—44no—
145#41×C37—44no—
146C2×Q8×C37—21no—
147C2×Q8×C37—22no—
148C2×Q8×C37—42no—
149C2×Q8×C37C2×D412yes—
150C2×D4×C37—22no—
151C2×D4×C37—22no—
152C2×D4×C37—22no—
153C2×D4×C37—22no—
154C2×D4×C37—21no—
155C2×D4×C37—22no—
156C2×D4×C37—22no—
157C2×D4×C37—22no—
158C2×D4×C37—41no—
159C2×D4×C37—42no—
160C2×D4×C37—42no—
161C2×D4×C37—42no—
162C2×D4×C37—42no—
163C2×D4×C37—42no—
164C2×D4×C37—42no—
165C2×D4×C37—42no—
166C2×D4×C37—42no—
167C2×D4×C37—42no—
168C2×D4×C37C2×D412yes—
169C22×C4×C37—21no—
170C22×C4×C37—24no—
171C22×C4×C37—21no—
172C22×C4×C37—21no—
173C22×C4×C37—21no—
174C22×C4×C37—21no—
175C22×C4×C37—22no—
176C22×C4×C37—21no—
177C22×C4×C37—22no—
178C22×C4×C37—21no—
179C22×C4×C37—21no—
180C22×C4×C37—42no—
181C22×C4×C37—42no—
182C22×C4×C37—42no—
183C22×C4×C37—41no—
184C22×C4×C37—41no—
185C22×C4×C37—82no—
186C22×C4×C37C2×D411yescharacteristic
187C22×C4×C37C2×D411yescharacteristic
188C22×C4×C37C2×D412yes—
189C22×C4×C37C2×D411yescharacteristic
190C22×C4×C37C2×D411yescharacteristic
191C22×C4×C37C2×D412yes—
192C22×C4×C37C2411yescharacteristic
193Q16×C37—44no—
194SD16×C37—44no—
195SD16×C37—44no—
196D8×C37—44no—
197C2×C8×C37—22no—
198C2×C8×C37—22no—
199C2×C8×C37—44no—
200C4⋊C4×C37—22no—
201C4⋊C4×C37—22no—
202C4⋊C4×C37—22no—
203C4⋊C4×C37—21no—
204C4⋊C4×C37—21no—
205C4⋊C4×C37—22no—
206C4⋊C4×C37—22no—
207C4⋊C4×C37—22no—
208C4⋊C4×C37—22no—
209C4⋊C4×C37—42no—
210C4⋊C4×C37C2×D412yes—
211C4⋊C4×C37C2×D412yes—
212C22⋊C4×C37—22no—
213C22⋊C4×C37—22no—
214C22⋊C4×C37—22no—
215C22⋊C4×C37—22no—
216C22⋊C4×C37—22no—
217C22⋊C4×C37—22no—
218C22⋊C4×C37—22no—
219C22⋊C4×C37—22no—
220C22⋊C4×C37—22no—
221C22⋊C4×C37—22no—
222C22⋊C4×C37—22no—
223C22⋊C4×C37—22no—
224C22⋊C4×C37—42no—
225C22⋊C4×C37—42no—
226C22⋊C4×C37—42no—
227C22⋊C4×C37—42no—
228C22⋊C4×C37—42no—
229C42×C37—22no—
230C42×C37—21no—
231C42×C37—22no—
232C42×C37—21no—
233C42×C37—42no—
234C23×C37—21no—
235C23×C37—21no—
236C23×C37—21no—
237C23×C37—21no—
238C23×C37—22no—
239C23×C37—22no—
240C23×C37—41no—
241C23×C37—41no—
242C23×C37—41no—
243C23×C37—41no—
244C23×C37—41no—
245C23×C37—41no—
246C23×C37—41no—
247C23×C37—42no—
248C23×C37—41no—
249C23×C37—41no—
250C23×C37—41no—
251C23×C37—81no—
252C23×C37—81no—
253C23×C37#12012yes—
254C23×C37#13512yescomplemented
255C23×C37C22×D411yescharacteristic
256Q8×C37—24no—
257Q8×C37—42no—
258Q8×C37—42no—
259Q8×C37—81no—
260D4×C37—24no—
261D4×C37—42no—
262D4×C37—42no—
263D4×C37—44no—
264D4×C37—44no—
265D4×C37—48no—
266D4×C37—48no—
267D4×C37—42no—
268D4×C37—42no—
269D4×C37—82no—
270D4×C37—82no—
271D4×C37—81no—
272C2×C4×C37—22no—
273C2×C4×C37—24no—
274C2×C4×C37—22no—
275C2×C4×C37—22no—
276C2×C4×C37—21no—
277C2×C4×C37—22no—
278C2×C4×C37—21no—
279C2×C4×C37—22no—
280C2×C4×C37—21no—
281C2×C4×C37—22no—
282C2×C4×C37—21no—
283C2×C4×C37—21no—
284C2×C4×C37—42no—
285C2×C4×C37—41no—
286C2×C4×C37—44no—
287C2×C4×C37—41no—
288C2×C4×C37—41no—
289C2×C4×C37—42no—
290C2×C4×C37—41no—
291C2×C4×C37—41no—
292C2×C4×C37—44no—
293C2×C4×C37—42no—
294C2×C4×C37—44no—
295C2×C4×C37—41no—
296C2×C4×C37—41no—
297C2×C4×C37—41no—
298C2×C4×C37—41no—
299C2×C4×C37—41no—
300C2×C4×C37—81no—
301C2×C4×C37—81no—
302C2×C4×C37—82no—
303C2×C4×C37—81no—
304C2×C4×C37#12011yescharacteristic
305C2×C4×C37#12011yescharacteristic
306C2×C4×C37C22×D412yes—
307C8×C37—42no—
308C8×C37—42no—
309#18100C3711yesmaximal, characteristic, direct product factor, Sylow
310C22×C37—21no—
311C22×C37—21no—
312C22×C37—22no—
313C22×C37—22no—
314C22×C37—22no—
315C22×C37—22no—
316C22×C37—42no—
317C22×C37—42no—
318C22×C37—42no—
319C22×C37—41no—
320C22×C37—41no—
321C22×C37—42no—
322C22×C37—42no—
323C22×C37—42no—
324C22×C37—42no—
325C22×C37—81no—
326C22×C37—81no—
327C22×C37—81no—
328C22×C37—81no—
329C22×C37—81no—
330C22×C37—84no—
331C22×C37—81no—
332C22×C37—81no—
333C22×C37C2×#12011yescharacteristic
334C22×C37C2×#13511yescharacteristic
335C22×C37#57511yescharacteristic
336C4×C37—22no—
337C4×C37—21no—
338C4×C37—42no—
339C4×C37—41no—
340C4×C37—42no—
341C4×C37—41no—
342C4×C37—42no—
343C4×C37—42no—
344C4×C37—41no—
345C4×C37—42no—
346C4×C37—81no—
347C4×C37B(4,𝔽2)12yes—
348#3459C2×C3711yescharacteristic, complemented
349#3002C2×C3712yescomplemented
350#2388C2×C3711yescharacteristic, complemented
351#1603C2×C3712yescomplemented
352#1602C2×C3711yescharacteristic, complemented
353#1601C2×C3711yescharacteristic, complemented
354#1597C2×C3712yescomplemented
355#1596C2×C3711yescharacteristic, complemented
356#1595C2×C3711yescharacteristic, complemented
357#1501C2×C3712yescomplemented
358#1459C2×C3711yescharacteristic, complemented
359C2×C37—21no—
360C2×C37—21no—
361C2×C37—42no—
362C2×C37—42no—
363C2×C37—82no—
364C2×C37—82no—
365C2×C37#300211yescharacteristic
366C2×C37#301811yescharacteristic
367C2×C37C2×B(4,𝔽2)11yescharacteristic
368C22×#41C22×C3711yescharacteristic, complemented
369C2×#135—22no—
370#543C22×C3711yescharacteristic
371#539—22no—
372#539C22×C3712yes—
373#538—22no—
374#538—21no—
375#534—21no—
376#534C22×C3711yescharacteristic
377#529—22no—
378#529—21no—
379#525—22no—
380#525C22×C3712yes—
381C2×C4×D4—21no—
382C2×C4×D4—21no—
383C2×C4×D4C22×C3711yescharacteristic
384#452—22no—
385#451C22×C3712yescomplemented
386#450C22×C3712yescomplemented
387#449—22no—
388#448C22×C3712yes—
389#447C22×C3712yes—
390#416—22no—
391C2×C22⋊C8C22×C3712yescomplemented
392#395C22×C3711yescharacteristic, complemented
393#394—21no—
394#394C22×C3711yescharacteristic, complemented
395#393C22×C3711yescharacteristic
396#392—21no—
397#392C22×C3711yescharacteristic
398C4×C22⋊C4—21no—
399C4×C22⋊C4C22×C3711yescharacteristic, complemented
400#328C22×C3712yescomplemented
401#328C22×C3712yescomplemented
402#327C22×C3712yes—
403#327C22×C3712yes—
404#324C22×C3712yescomplemented
405#323C22×C3711yescharacteristic
406#323C22×C3711yescharacteristic
407C37#1810011yescharacteristic, direct product factor, Sylow
408C2×#41—22no—
409C2×#41—22no—
410C2×#41—44no—
411C2×#41D4×C3712yescomplemented
412C22×Q8C23×C3711yescharacteristic
413C22×D4—21no—
414C22×D4—21no—
415C22×D4—21no—
416C22×D4D4×C3711yescharacteristic
417C22×D4C23×C3711yescharacteristic
418C23×C4—21no—
419C23×C4—21no—
420C23×C4D4×C3711yescharacteristic
421C23×C4C23×C3711yescharacteristic
422#135—48no—
423C2×Q16—22no—
424C2×SD16—22no—
425C2×SD16—22no—
426C2×D8—22no—
427C22×C8—22no—
428#126—22no—
429#126—22no—
430#126—22no—
431#125—21no—
432#125—22no—
433#124—22no—
434#124—21no—
435#123—22no—
436#123—22no—
437#123—22no—
438#123—22no—
439#123—22no—
440#123—22no—
441C22⋊Q8—22no—
442C22⋊Q8—22no—
443C22⋊Q8—21no—
444C22⋊Q8—22no—
445C22⋊Q8D4×C3712yescomplemented
446C22⋊Q8C23×C3712yes—
447#121—22no—
448#121—22no—
449#121—22no—
450#121—21no—
451#121D4×C3712yescomplemented
452#121C23×C3712yes—
453#120—22no—
454#120—22no—
455#120—22no—
456C4×Q8—21no—
457C4×D4—22no—
458C4×D4—22no—
459C4×D4—21no—
460C4×D4—22no—
461C4×D4—22no—
462C4×D4—22no—
463C4×D4—22no—
464C4×D4—22no—
465C4×D4—44no—
466#117—22no—
467#117D4×C3712yescomplemented
468C2×C4⋊C4—21no—
469C2×C4⋊C4—21no—
470C2×C4⋊C4C23×C3711yescharacteristic
471C2×C22⋊C4—21no—
472C2×C22⋊C4—21no—
473C2×C22⋊C4—21no—
474C2×C22⋊C4—21no—
475C2×C22⋊C4—21no—
476C2×C22⋊C4—21no—
477C2×C22⋊C4—21no—
478C2×C22⋊C4D4×C3711yescharacteristic
479C2×C22⋊C4C23×C3711yescharacteristic
480C2×C42—21no—
481C2×C42—21no—
482C2×C42D4×C3711yescharacteristic
483#103—22no—
484#103—22no—
485#102—22no—
486#102—22no—
487C22⋊C8—22no—
488C22⋊C8C23×C3712yes—
489C22⋊C8C23×C3712yes—
490#95—21no—
491#95—21no—
492#95C23×C3711yescharacteristic
493#95C23×C3711yescharacteristic
494C24—21no—
495C24—21no—
496C24C2×D4×C3711yescharacteristic
497C24C2×D4×C3711yescharacteristic
498#41—28no—
499#41—44no—
500#41—44no—
501#41—44no—
502#41—44no—
503C2×Q8—21no—
504C2×Q8—22no—
505C2×Q8—42no—
506C2×Q8C2×D4×C3712yes—
507C2×D4—22no—
508C2×D4—22no—
509C2×D4—22no—
510C2×D4—22no—
511C2×D4—21no—
512C2×D4—22no—
513C2×D4—22no—
514C2×D4—22no—
515C2×D4—41no—
516C2×D4—42no—
517C2×D4—42no—
518C2×D4—42no—
519C2×D4—42no—
520C2×D4—42no—
521C2×D4—42no—
522C2×D4—42no—
523C2×D4—42no—
524C2×D4—42no—
525C2×D4C2×D4×C3712yes—
526C22×C4—21no—
527C22×C4—24no—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—21no—
531C22×C4—21no—
532C22×C4—22no—
533C22×C4—21no—
534C22×C4—22no—
535C22×C4—21no—
536C22×C4—21no—
537C22×C4—42no—
538C22×C4—42no—
539C22×C4—42no—
540C22×C4—41no—
541C22×C4—41no—
542C22×C4—82no—
543C22×C4C2×D4×C3711yescharacteristic
544C22×C4C2×D4×C3711yescharacteristic
545C22×C4C2×D4×C3712yes—
546C22×C4C2×D4×C3711yescharacteristic
547C22×C4C2×D4×C3711yescharacteristic
548C22×C4C2×D4×C3712yes—
549C22×C4C24×C3711yescharacteristic
550Q16—44no—
551SD16—44no—
552SD16—44no—
553D8—44no—
554C2×C8—22no—
555C2×C8—22no—
556C2×C8—44no—
557C4⋊C4—22no—
558C4⋊C4—22no—
559C4⋊C4—22no—
560C4⋊C4—21no—
561C4⋊C4—21no—
562C4⋊C4—22no—
563C4⋊C4—22no—
564C4⋊C4—22no—
565C4⋊C4—22no—
566C4⋊C4—42no—
567C4⋊C4C2×D4×C3712yes—
568C4⋊C4C2×D4×C3712yes—
569C22⋊C4—22no—
570C22⋊C4—22no—
571C22⋊C4—22no—
572C22⋊C4—22no—
573C22⋊C4—22no—
574C22⋊C4—22no—
575C22⋊C4—22no—
576C22⋊C4—22no—
577C22⋊C4—22no—
578C22⋊C4—22no—
579C22⋊C4—22no—
580C22⋊C4—22no—
581C22⋊C4—42no—
582C22⋊C4—42no—
583C22⋊C4—42no—
584C22⋊C4—42no—
585C22⋊C4—42no—
586C42—22no—
587C42—22no—
588C42—21no—
589C42—21no—
590C42—42no—
591C23—21no—
592C23—21no—
593C23—21no—
594C23—21no—
595C23—22no—
596C23—22no—
597C23—41no—
598C23—41no—
599C23—41no—
600C23—41no—
601C23—41no—
602C23—41no—
603C23—41no—
604C23—42no—
605C23—41no—
606C23—41no—
607C23—41no—
608C23—81no—
609C23—81no—
610C23#120×C3712yes—
611C23#135×C3712yescomplemented
612C23C22×D4×C3711yescharacteristic
613Q8—24no—
614Q8—42no—
615Q8—42no—
616Q8—81no—
617D4—24no—
618D4—42no—
619D4—42no—
620D4—44no—
621D4—44no—
622D4—48no—
623D4—48no—
624D4—42no—
625D4—42no—
626D4—82no—
627D4—82no—
628D4—81no—
629C2×C4—22no—
630C2×C4—24no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—21no—
634C2×C4—22no—
635C2×C4—21no—
636C2×C4—22no—
637C2×C4—21no—
638C2×C4—22no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—42no—
642C2×C4—41no—
643C2×C4—44no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—42no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—44no—
650C2×C4—42no—
651C2×C4—44no—
652C2×C4—41no—
653C2×C4—41no—
654C2×C4—41no—
655C2×C4—41no—
656C2×C4—41no—
657C2×C4—81no—
658C2×C4—82no—
659C2×C4—81no—
660C2×C4—81no—
661C2×C4#120×C3711yescharacteristic
662C2×C4#120×C3711yescharacteristic
663C2×C4C22×D4×C3712yes—
664C8—42no—
665C8—42no—
666C22—21no—
667C22—21no—
668C22—22no—
669C22—22no—
670C22—22no—
671C22—22no—
672C22—42no—
673C22—42no—
674C22—42no—
675C22—41no—
676C22—41no—
677C22—42no—
678C22—42no—
679C22—42no—
680C22—42no—
681C22—81no—
682C22—81no—
683C22—81no—
684C22—81no—
685C22—81no—
686C22—84no—
687C22—81no—
688C22—81no—
689C22C2×#120×C3711yescharacteristic
690C22C2×#135×C3711yescharacteristic
691C22C37×#57511yescharacteristic
692C4—22no—
693C4—21no—
694C4—42no—
695C4—41no—
696C4—42no—
697C4—41no—
698C4—42no—
699C4—42no—
700C4—41no—
701C4—42no—
702C4—81no—
703C4C37×B(4,𝔽2)12yes—
704C2—21no—
705C2—21no—
706C2—42no—
707C2—42no—
708C2—82no—
709C2—82no—
710C2C37×#300211yescharacteristic
711C2C37×#301811yescharacteristic
712C2C2×C37×B(4,𝔽2)11yescharacteristic
subgroupG/H
centerC2×C4×C37#120
commutator, Frattini, cosocleC22×C4C24×C37
socleC22×C37C2×#120
LCSG ▷ C22×C4 ▷ C22 ▷ C1
UCSC1 ◁ C2×C4×C37 ◁ C23×C4×C37 ◁ G

Complements

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

NH ≅ G/Ntype
1. C37×#3459C2semidirect
2. C37×#3002C2semidirect
3. C37×#2388C2semidirect
4. C37×#1603C2semidirect
5. C37×#1602C2semidirect
6. C37×#1601C2semidirect
7. C37×#1597C2semidirect
8. C37×#1596C2semidirect
9. C37×#1595C2semidirect
10. C37×#1501C2semidirect
11. C37×#1459C2semidirect
12. C22×#41×C37C22semidirect
29. C37×#451C22semidirect
30. C37×#450C22semidirect
35. C2×C22⋊C8×C37C22semidirect
36. C37×#395C22semidirect
38. C37×#394C22semidirect
43. C4×C22⋊C4×C37C22semidirect
44. C37×#328C22semidirect
45. C37×#328C22semidirect
48. C37×#324C22semidirect
54. C2×#41×C37D4semidirect
88. C22⋊Q8×C37D4semidirect
94. #121×C37D4semidirect
110. #117×C37D4semidirect
254. C23×C37#135semidirect
309. #18100C37direct (N × H)
348. #3459C2×C37semidirect
349. #3002C2×C37semidirect
350. #2388C2×C37semidirect
351. #1603C2×C37semidirect
352. #1602C2×C37semidirect
353. #1601C2×C37semidirect
354. #1597C2×C37semidirect
355. #1596C2×C37semidirect
356. #1595C2×C37semidirect
357. #1501C2×C37semidirect
358. #1459C2×C37semidirect
368. C22×#41C22×C37semidirect
385. #451C22×C37semidirect
386. #450C22×C37semidirect
391. C2×C22⋊C8C22×C37semidirect
392. #395C22×C37semidirect
394. #394C22×C37semidirect
399. C4×C22⋊C4C22×C37semidirect
400. #328C22×C37semidirect
401. #328C22×C37semidirect
404. #324C22×C37semidirect
407. C37#18100direct (N × H)
411. C2×#41D4×C37semidirect
445. C22⋊Q8D4×C37semidirect
451. #121D4×C37semidirect
467. #117D4×C37semidirect
611. C23#135×C37semidirect

Maximal subgroups

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

subgroupindex
C37×#34592
C37×#30022
C37×#23882
C37×#16032
C37×#16022
C37×#16012
C37×#15972
C37×#15962
C37×#15952
C37×#15012
C37×#14592
#1810037