Finite Group Databasebeta

← C37×#26652 #22647905

Subgroups — C37×#26652 #22647905

Order 9472.

784 conjugacy classes of subgroups.

The subgroup lattice has 700 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C37×#3097C211yesmaximal, characteristic, complemented
2C37×#3044C211yesmaximal, characteristic, complemented
3C37×#2949C211yesmaximal, characteristic, complemented
4C37×#2946C211yesmaximal, characteristic
5C37×#2063C211yesmaximal, characteristic, complemented
6C37×#2019C211yesmaximal, characteristic
7C37×#2015C211yesmaximal, characteristic, complemented
8C37×#2003C211yesmaximal, characteristic
9C37×#1979C211yesmaximal, characteristic, complemented
10C37×#1930C211yesmaximal, characteristic, complemented
11C37×#1929C211yesmaximal, characteristic, complemented
12C37×#1922C211yesmaximal, characteristic, complemented
13C37×#1885C211yesmaximal, characteristic, complemented
14C37×#1882C211yesmaximal, characteristic, complemented
15C37×#1857C211yesmaximal, characteristic, complemented
16C2×#137×C37C2211yescharacteristic
17C2×AGL(1,ℤ/8)×C37C2211yescharacteristic
18C22×Q16×C37C2211yescharacteristic
19C22×SD16×C37C2211yescharacteristic
20C37×#536C2211yescharacteristic
21C2×#124×C37C2211yescharacteristic
22C37×#520C2211yescharacteristic
23C37×#519C2211yescharacteristic
24C37×#518C2211yescharacteristic
25C37×#485—21no—
26C37×#485—21no—
27C37×#484—21no—
28C37×#483—21no—
29C37×#464—21no—
30C37×#464—21no—
31C37×#462—21no—
32C37×#462—21no—
33C37×#442—21no—
34C37×#440—21no—
35C37×#440—21no—
36C37×#440—21no—
37C4×SD16×C37—21no—
38C4×SD16×C37—21no—
39C4×SD16×C37—21no—
40C4×D8×C37—21no—
41C2×#108×C37C2211yescharacteristic
42C37×#428C2211yescharacteristic
43C37×#428C2211yescharacteristic
44C37×#427C2211yescharacteristic
45C37×#424C2211yescharacteristic
46C2×#104×C37C2211yescharacteristic
47C37×#419C2211yescharacteristic
48C37×#419C2211yescharacteristic
49C37×#419C2211yescharacteristic
50C37×#418C2211yescharacteristic
51C37×#416C2211yescharacteristic
52C2×#103×C37C2211yescharacteristic
53C2×#102×C37C2211yescharacteristic
54C2×#101×C37C2211yescharacteristic
55C2×#101×C37C2211yescharacteristic
56C2×#100×C37C2211yescharacteristic
57C37×#408C2211yescharacteristic
58C37×#405C2211yescharacteristic
59C37×#405C2211yescharacteristic
60C37×#391C2211yescharacteristic
61C37×#343C2211yescharacteristic
62C37×#341C2211yescharacteristic
63C37×#339C2211yescharacteristic
64C37×#339C2211yescharacteristic
65C37×#339C2211yescharacteristic
66C37×#336C2211yescharacteristic
67C2×#41×C37C2311yescharacteristic
68C22×Q8×C37C2311yescharacteristic
69C22×Q8×C37C2311yescharacteristic
70C22×D4×C37C2311yescharacteristic
71#137×C37—22no—
72#137×C37—41no—
73AGL(1,ℤ/8)×C37—22no—
74AGL(1,ℤ/8)×C37—22no—
75C2×Q16×C37—21no—
76C2×Q16×C37—22no—
77C2×Q16×C37—21no—
78C2×Q16×C37—21no—
79C2×Q16×C37—41no—
80C2×SD16×C37—21no—
81C2×SD16×C37—22no—
82C2×SD16×C37—22no—
83C2×SD16×C37—21no—
84C2×SD16×C37—21no—
85C2×SD16×C37—21no—
86C2×D8×C37—21no—
87C2×M16×C37C2311yescharacteristic
88C2×M16×C37C2311yescharacteristic
89C2×M16×C37C2311yescharacteristic
90C2×M16×C37C2311yescharacteristic
91C22×C8×C37C2311yescharacteristic
92C22×C8×C37C2311yescharacteristic
93C4⋊Q8×C37—21no—
94#124×C37—21no—
95#124×C37—22no—
96#124×C37—41no—
97#123×C37—41no—
98C22⋊Q8×C37—21no—
99C22⋊Q8×C37—21no—
100C4×Q8×C37—21no—
101C4×Q8×C37—21no—
102C4×Q8×C37—21no—
103C4×Q8×C37—21no—
104C4×Q8×C37—21no—
105C4×D4×C37—21no—
106C4×D4×C37—21no—
107C4×D4×C37—21no—
108C4×D4×C37—21no—
109C4×D4×C37—21no—
110C4×D4×C37—41no—
111#117×C37—21no—
112#117×C37—41no—
113#117×C37C2311yescharacteristic
114#117×C37C2311yescharacteristic
115#117×C37C2311yescharacteristic
116C2×C4⋊C4×C37—21no—
117C2×C4⋊C4×C37C2311yescharacteristic
118C2×C22⋊C4×C37—41no—
119C2×C22⋊C4×C37—41no—
120C2×C42×C37C2311yescharacteristic
121#108×C37—41no—
122#107×C37—21no—
123#107×C37—21no—
124#107×C37D411yescharacteristic
125#107×C37D411yescharacteristic
126#106×C37—21no—
127#106×C37—21no—
128#106×C37D411yescharacteristic
129#106×C37D411yescharacteristic
130C4⋊C8×C37—21no—
131C4⋊C8×C37—21no—
132#104×C37—41no—
133#103×C37—21no—
134#103×C37—21no—
135#103×C37—21no—
136#103×C37—21no—
137#103×C37—21no—
138#103×C37—21no—
139#103×C37—21no—
140#103×C37—21no—
141#103×C37D411yescharacteristic
142#103×C37D411yescharacteristic
143#102×C37—21no—
144#102×C37—21no—
145#102×C37—21no—
146#102×C37—21no—
147#102×C37D411yescharacteristic
148#102×C37D411yescharacteristic
149#101×C37—22no—
150#101×C37—22no—
151#100×C37—41no—
152C22⋊C8×C37—21no—
153C22⋊C8×C37—21no—
154#97×C37—21no—
155#97×C37—21no—
156C4×C8×C37—21no—
157C4×C8×C37—21no—
158#95×C37—41no—
159C24×C37—21no—
160#41×C37—21no—
161#41×C37—21no—
162#41×C37—21no—
163#41×C37—21no—
164C2×Q8×C37—21no—
165C2×Q8×C37—21no—
166C2×Q8×C37—21no—
167C2×Q8×C37—21no—
168C2×Q8×C37—21no—
169C2×Q8×C37—21no—
170C2×Q8×C37—21no—
171C2×Q8×C37—21no—
172C2×Q8×C37—21no—
173C2×Q8×C37—21no—
174C2×Q8×C37—21no—
175C2×Q8×C37C2×D411yescharacteristic
176C2×Q8×C37#4112yes—
177C2×D4×C37—21no—
178C2×D4×C37—21no—
179C2×D4×C37—21no—
180C2×D4×C37—21no—
181C2×D4×C37—21no—
182C2×D4×C37—21no—
183C2×D4×C37C2×D411yescharacteristic
184C2×D4×C37#4112yes—
185C22×C4×C37—21no—
186C22×C4×C37—21no—
187C22×C4×C37—21no—
188C22×C4×C37—21no—
189C22×C4×C37—21no—
190C22×C4×C37—41no—
191C22×C4×C37—41no—
192C22×C4×C37—41no—
193C22×C4×C37C2411yescharacteristic
194Q16×C37—42no—
195Q16×C37—42no—
196Q16×C37—42no—
197SD16×C37—24no—
198SD16×C37—24no—
199SD16×C37—24no—
200SD16×C37—42no—
201D8×C37—24no—
202M16×C37—21no—
203M16×C37—21no—
204M16×C37—21no—
205M16×C37—21no—
206M16×C37—21no—
207M16×C37—21no—
208M16×C37—21no—
209M16×C37#4112yes—
210C2×C8×C37—21no—
211C2×C8×C37—21no—
212C2×C8×C37—21no—
213C2×C8×C37—21no—
214C2×C8×C37—21no—
215C2×C8×C37—21no—
216C2×C8×C37—21no—
217C2×C8×C37—21no—
218C2×C8×C37C2×D411yescharacteristic
219C2×C8×C37C2×D411yescharacteristic
220C2×C8×C37C2×D411yescharacteristic
221C2×C8×C37C2×D411yescharacteristic
222C4⋊C4×C37—21no—
223C4⋊C4×C37—21no—
224C4⋊C4×C37—41no—
225C4⋊C4×C37—41no—
226C4⋊C4×C37—41no—
227C4⋊C4×C37—41no—
228C4⋊C4×C37—41no—
229C4⋊C4×C37C2×D411yescharacteristic
230C4⋊C4×C37C2×D411yescharacteristic
231C4⋊C4×C37C2×D411yescharacteristic
232C4⋊C4×C37C2×D411yescharacteristic
233C4⋊C4×C37C2×D411yescharacteristic
234C4⋊C4×C37C2×D411yescharacteristic
235C22⋊C4×C37—21no—
236C22⋊C4×C37—21no—
237C22⋊C4×C37—21no—
238C22⋊C4×C37—41no—
239C22⋊C4×C37—41no—
240C22⋊C4×C37—41no—
241C22⋊C4×C37—41no—
242C22⋊C4×C37—41no—
243C22⋊C4×C37—44no—
244C42×C37—21no—
245C42×C37—21no—
246C42×C37—21no—
247C42×C37—21no—
248C42×C37—21no—
249C42×C37—41no—
250C42×C37—41no—
251C42×C37—41no—
252C23×C37—21no—
253C23×C37—22no—
254C23×C37—41no—
255C23×C37—41no—
256C23×C37—81no—
257C23×C37—81no—
258C23×C37H(5,𝔽2)11yescharacteristic
259Q8×C37—22no—
260Q8×C37—21no—
261Q8×C37—22no—
262Q8×C37—21no—
263Q8×C37—41no—
264Q8×C37—41no—
265Q8×C37—41no—
266Q8×C37—41no—
267Q8×C37—41no—
268Q8×C37—41no—
269D4×C37—21no—
270D4×C37—22no—
271D4×C37—22no—
272D4×C37—21no—
273D4×C37—41no—
274D4×C37—41no—
275D4×C37—41no—
276D4×C37—41no—
277C2×C4×C37—21no—
278C2×C4×C37—21no—
279C2×C4×C37—21no—
280C2×C4×C37—21no—
281C2×C4×C37—21no—
282C2×C4×C37—21no—
283C2×C4×C37—21no—
284C2×C4×C37—22no—
285C2×C4×C37—41no—
286C2×C4×C37—41no—
287C2×C4×C37—41no—
288C2×C4×C37—41no—
289C2×C4×C37—41no—
290C2×C4×C37—41no—
291C2×C4×C37—41no—
292C2×C4×C37—41no—
293C2×C4×C37—41no—
294C2×C4×C37—41no—
295C2×C4×C37—41no—
296C2×C4×C37—81no—
297C2×C4×C37—161no—
298C2×C4×C37—161no—
299C2×C4×C37—161no—
300C2×C4×C37C22×D411yescharacteristic
301C2×C4×C37C22×D411yescharacteristic
302C2×C4×C37C2×#4111yescharacteristic
303C2×C4×C37C2×#4111yescharacteristic
304C2×C4×C37C2×#4111yescharacteristic
305C2×C4×C37H(5,𝔽2)11yescharacteristic
306C8×C37—21no—
307C8×C37—21no—
308C8×C37—22no—
309C8×C37—21no—
310C8×C37—21no—
311C8×C37—41no—
312C8×C37—41no—
313C8×C37—41no—
314#26652C3711yesmaximal, characteristic, direct product factor, Sylow
315C22×C37—21no—
316C22×C37—21no—
317C22×C37—41no—
318C22×C37—42no—
319C22×C37—41no—
320C22×C37—41no—
321C22×C37—82no—
322C22×C37—81no—
323C22×C37—81no—
324C22×C37—161no—
325C22×C37#53811yescharacteristic
326C22×C37D4211yescharacteristic
327C22×C37#55311yescharacteristic
328C4×C37—41no—
329C4×C37—42no—
330C4×C37—41no—
331C4×C37—41no—
332C4×C37—41no—
333C4×C37—41no—
334C4×C37—41no—
335C4×C37—41no—
336C4×C37—81no—
337C4×C37—81no—
338C4×C37—81no—
339C4×C37#52511yescharacteristic
340C4×C37#52511yescharacteristic
341C4×C37#54611yescharacteristic
342C4×C37#55011yescharacteristic
343#3097C2×C3711yescharacteristic, complemented
344#3044C2×C3711yescharacteristic, complemented
345#2949C2×C3711yescharacteristic, complemented
346#2946C2×C3711yescharacteristic
347#2063C2×C3711yescharacteristic, complemented
348#2019C2×C3711yescharacteristic
349#2015C2×C3711yescharacteristic, complemented
350#2003C2×C3711yescharacteristic
351#1979C2×C3711yescharacteristic, complemented
352#1930C2×C3711yescharacteristic, complemented
353#1929C2×C3711yescharacteristic, complemented
354#1922C2×C3711yescharacteristic, complemented
355#1885C2×C3711yescharacteristic, complemented
356#1882C2×C3711yescharacteristic, complemented
357#1857C2×C3711yescharacteristic, complemented
358C2×C37—21no—
359C2×C37—21no—
360C2×C37—81no—
361C2×C37—82no—
362C2×C37#245611yescharacteristic
363C2×C37#328911yescharacteristic
364C2×C37#329011yescharacteristic
365C2×#137C22×C3711yescharacteristic
366C2×AGL(1,ℤ/8)C22×C3711yescharacteristic
367C22×Q16C22×C3711yescharacteristic
368C22×SD16C22×C3711yescharacteristic
369#536C22×C3711yescharacteristic
370C2×#124C22×C3711yescharacteristic
371#520C22×C3711yescharacteristic
372#519C22×C3711yescharacteristic
373#518C22×C3711yescharacteristic
374#485—21no—
375#485—21no—
376#484—21no—
377#483—21no—
378#464—21no—
379#464—21no—
380#462—21no—
381#462—21no—
382#442—21no—
383#440—21no—
384#440—21no—
385#440—21no—
386C4×SD16—21no—
387C4×SD16—21no—
388C4×SD16—21no—
389C4×D8—21no—
390C2×#108C22×C3711yescharacteristic
391#428C22×C3711yescharacteristic
392#428C22×C3711yescharacteristic
393#427C22×C3711yescharacteristic
394#424C22×C3711yescharacteristic
395C2×#104C22×C3711yescharacteristic
396#419C22×C3711yescharacteristic
397#419C22×C3711yescharacteristic
398#419C22×C3711yescharacteristic
399#418C22×C3711yescharacteristic
400#416C22×C3711yescharacteristic
401C2×#103C22×C3711yescharacteristic
402C2×#102C22×C3711yescharacteristic
403C2×#101C22×C3711yescharacteristic
404C2×#101C22×C3711yescharacteristic
405C2×#100C22×C3711yescharacteristic
406#408C22×C3711yescharacteristic
407#405C22×C3711yescharacteristic
408#405C22×C3711yescharacteristic
409#391C22×C3711yescharacteristic
410#343C22×C3711yescharacteristic
411#341C22×C3711yescharacteristic
412#339C22×C3711yescharacteristic
413#339C22×C3711yescharacteristic
414#339C22×C3711yescharacteristic
415#336C22×C3711yescharacteristic
416C37#2665211yescharacteristic, direct product factor, Sylow
417C2×#41C23×C3711yescharacteristic
418C22×Q8C23×C3711yescharacteristic
419C22×Q8C23×C3711yescharacteristic
420C22×D4C23×C3711yescharacteristic
421#137—22no—
422#137—41no—
423AGL(1,ℤ/8)—22no—
424AGL(1,ℤ/8)—22no—
425C2×Q16—21no—
426C2×Q16—22no—
427C2×Q16—21no—
428C2×Q16—21no—
429C2×Q16—41no—
430C2×SD16—21no—
431C2×SD16—22no—
432C2×SD16—22no—
433C2×SD16—21no—
434C2×SD16—21no—
435C2×SD16—21no—
436C2×D8—21no—
437C2×M16C23×C3711yescharacteristic
438C2×M16C23×C3711yescharacteristic
439C2×M16C23×C3711yescharacteristic
440C2×M16C23×C3711yescharacteristic
441C22×C8C23×C3711yescharacteristic
442C22×C8C23×C3711yescharacteristic
443C4⋊Q8—21no—
444#124—21no—
445#124—22no—
446#124—41no—
447#123—41no—
448C22⋊Q8—21no—
449C22⋊Q8—21no—
450C4×Q8—21no—
451C4×Q8—21no—
452C4×Q8—21no—
453C4×Q8—21no—
454C4×Q8—21no—
455C4×D4—21no—
456C4×D4—21no—
457C4×D4—21no—
458C4×D4—21no—
459C4×D4—21no—
460C4×D4—41no—
461#117—21no—
462#117—41no—
463#117C23×C3711yescharacteristic
464#117C23×C3711yescharacteristic
465#117C23×C3711yescharacteristic
466C2×C4⋊C4—21no—
467C2×C4⋊C4C23×C3711yescharacteristic
468C2×C22⋊C4—41no—
469C2×C22⋊C4—41no—
470C2×C42C23×C3711yescharacteristic
471#108—41no—
472#107—21no—
473#107—21no—
474#107D4×C3711yescharacteristic
475#107D4×C3711yescharacteristic
476#106—21no—
477#106—21no—
478#106D4×C3711yescharacteristic
479#106D4×C3711yescharacteristic
480C4⋊C8—21no—
481C4⋊C8—21no—
482#104—41no—
483#103—21no—
484#103—21no—
485#103—21no—
486#103—21no—
487#103—21no—
488#103—21no—
489#103—21no—
490#103—21no—
491#103D4×C3711yescharacteristic
492#103D4×C3711yescharacteristic
493#102—21no—
494#102—21no—
495#102—21no—
496#102—21no—
497#102D4×C3711yescharacteristic
498#102D4×C3711yescharacteristic
499#101—22no—
500#101—22no—
501#100—41no—
502C22⋊C8—21no—
503C22⋊C8—21no—
504#97—21no—
505#97—21no—
506C4×C8—21no—
507C4×C8—21no—
508#95—41no—
509C24—21no—
510#41—21no—
511#41—21no—
512#41—21no—
513#41—21no—
514C2×Q8—21no—
515C2×Q8—21no—
516C2×Q8—21no—
517C2×Q8—21no—
518C2×Q8—21no—
519C2×Q8—21no—
520C2×Q8—21no—
521C2×Q8—21no—
522C2×Q8—21no—
523C2×Q8—21no—
524C2×Q8—21no—
525C2×Q8C2×D4×C3711yescharacteristic
526C2×Q8#41×C3712yes—
527C2×D4—21no—
528C2×D4—21no—
529C2×D4—21no—
530C2×D4—21no—
531C2×D4—21no—
532C2×D4—21no—
533C2×D4C2×D4×C3711yescharacteristic
534C2×D4#41×C3712yes—
535C22×C4—21no—
536C22×C4—21no—
537C22×C4—21no—
538C22×C4—21no—
539C22×C4—21no—
540C22×C4—41no—
541C22×C4—41no—
542C22×C4—41no—
543C22×C4C24×C3711yescharacteristic
544Q16—42no—
545Q16—42no—
546Q16—42no—
547SD16—24no—
548SD16—24no—
549SD16—24no—
550SD16—42no—
551D8—24no—
552M16—21no—
553M16—21no—
554M16—21no—
555M16—21no—
556M16—21no—
557M16—21no—
558M16—21no—
559M16#41×C3712yes—
560C2×C8—21no—
561C2×C8—21no—
562C2×C8—21no—
563C2×C8—21no—
564C2×C8—21no—
565C2×C8—21no—
566C2×C8—21no—
567C2×C8—21no—
568C2×C8C2×D4×C3711yescharacteristic
569C2×C8C2×D4×C3711yescharacteristic
570C2×C8C2×D4×C3711yescharacteristic
571C2×C8C2×D4×C3711yescharacteristic
572C4⋊C4—21no—
573C4⋊C4—21no—
574C4⋊C4—41no—
575C4⋊C4—41no—
576C4⋊C4—41no—
577C4⋊C4—41no—
578C4⋊C4—41no—
579C4⋊C4C2×D4×C3711yescharacteristic
580C4⋊C4C2×D4×C3711yescharacteristic
581C4⋊C4C2×D4×C3711yescharacteristic
582C4⋊C4C2×D4×C3711yescharacteristic
583C4⋊C4C2×D4×C3711yescharacteristic
584C4⋊C4C2×D4×C3711yescharacteristic
585C22⋊C4—21no—
586C22⋊C4—21no—
587C22⋊C4—21no—
588C22⋊C4—41no—
589C22⋊C4—41no—
590C22⋊C4—41no—
591C22⋊C4—41no—
592C22⋊C4—41no—
593C22⋊C4—44no—
594C42—21no—
595C42—21no—
596C42—21no—
597C42—21no—
598C42—21no—
599C42—41no—
600C42—41no—
601C42—41no—
602C23—21no—
603C23—22no—
604C23—41no—
605C23—41no—
606C23—81no—
607C23—81no—
608C23H(5,𝔽2)×C3711yescharacteristic
609Q8—22no—
610Q8—21no—
611Q8—22no—
612Q8—21no—
613Q8—41no—
614Q8—41no—
615Q8—41no—
616Q8—41no—
617Q8—41no—
618Q8—41no—
619D4—21no—
620D4—22no—
621D4—22no—
622D4—21no—
623D4—41no—
624D4—41no—
625D4—41no—
626D4—41no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—22no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—81no—
647C2×C4—161no—
648C2×C4—161no—
649C2×C4—161no—
650C2×C4C22×D4×C3711yescharacteristic
651C2×C4C22×D4×C3711yescharacteristic
652C2×C4C2×#41×C3711yescharacteristic
653C2×C4C2×#41×C3711yescharacteristic
654C2×C4C2×#41×C3711yescharacteristic
655C2×C4H(5,𝔽2)×C3711yescharacteristic
656C8—21no—
657C8—21no—
658C8—22no—
659C8—21no—
660C8—21no—
661C8—41no—
662C8—41no—
663C8—41no—
664C22—21no—
665C22—21no—
666C22—41no—
667C22—42no—
668C22—41no—
669C22—41no—
670C22—82no—
671C22—81no—
672C22—81no—
673C22—161no—
674C22C37×#53811yescharacteristic
675C22D42×C3711yescharacteristic
676C22C37×#55311yescharacteristic
677C4—41no—
678C4—42no—
679C4—41no—
680C4—41no—
681C4—41no—
682C4—41no—
683C4—41no—
684C4—41no—
685C4—81no—
686C4—81no—
687C4—81no—
688C4C37×#52511yescharacteristic
689C4C37×#52511yescharacteristic
690C4C37×#54611yescharacteristic
691C4C37×#55011yescharacteristic
692C2—21no—
693C2—21no—
694C2—81no—
695C2—82no—
696C2C37×#245611yescharacteristic
697C2C37×#328911yescharacteristic
698C2C37×#329011yescharacteristic
subgroupG/H
center, socleC22×C37D42
commutator, Frattini, cosocleC22×C4C24×C37
prime radicalC2×AGL(1,ℤ/8)×C37C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C37 ◁ C22×C4×C37 ◁ G

Complements

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

NH ≅ G/Ntype
1. C37×#3097C2semidirect
2. C37×#3044C2semidirect
3. C37×#2949C2semidirect
5. C37×#2063C2semidirect
7. C37×#2015C2semidirect
9. C37×#1979C2semidirect
10. C37×#1930C2semidirect
11. C37×#1929C2semidirect
12. C37×#1922C2semidirect
13. C37×#1885C2semidirect
14. C37×#1882C2semidirect
15. C37×#1857C2semidirect
314. #26652C37direct (N × H)
343. #3097C2×C37semidirect
344. #3044C2×C37semidirect
345. #2949C2×C37semidirect
347. #2063C2×C37semidirect
349. #2015C2×C37semidirect
351. #1979C2×C37semidirect
352. #1930C2×C37semidirect
353. #1929C2×C37semidirect
354. #1922C2×C37semidirect
355. #1885C2×C37semidirect
356. #1882C2×C37semidirect
357. #1857C2×C37semidirect
416. C37#26652direct (N × H)

Maximal subgroups

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

subgroupindex
C37×#30972
C37×#30442
C37×#29492
C37×#29462
C37×#20632
C37×#20192
C37×#20152
C37×#20032
C37×#19792
C37×#19302
C37×#19292
C37×#19222
C37×#18852
C37×#18822
C37×#18572
#2665237