Finite Group Databasebeta

← C37×#60524 #22681777

Subgroups — C37×#60524 #22681777

Order 9472.

2116 conjugacy classes of subgroups.

The subgroup lattice has 670 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C37×#3489C211yesmaximal, characteristic
2C37×#3428C211yesmaximal, characteristic, complemented
3C37×#3099C213yesmaximal, complemented
4C37×#3098C213yesmaximal, complemented
5C37×#3097C213yesmaximal, complemented
6C37×#3097C213yesmaximal, complemented
7C37×#3095C213yesmaximal, complemented
8C37×#3093C213yesmaximal, complemented
9C37×#3091C213yesmaximal, complemented
10C2×C37×#485C213yesmaximal, complemented
11C37×#2913C211yesmaximal, characteristic, complemented
12C37×#2912C211yesmaximal, characteristic, complemented
13C37×#2898C211yesmaximal, characteristic, complemented
14C37×#2898C211yesmaximal, characteristic, complemented
15C37×#2880C211yesmaximal, characteristic, complemented
16C2×2−1+4×C37C2211yescharacteristic
17C22×#41×C37C2211yescharacteristic
18C2×#131×C37C2211yescharacteristic
19C2×#131×C37C2211yescharacteristic
20D4×Q8×C37—21no—
21C37×#548—21no—
22C37×#547—23no—
23C37×#546—23no—
24C37×#537C2213yes—
25C37×#536C2213yes—
26C37×#525C2213yes—
27C2×C22⋊Q8×C37C2213yes—
28C37×#520C2211yescharacteristic
29C37×#520C2211yescharacteristic
30C37×#520C2211yescharacteristic
31C37×#520C2213yes—
32C37×#520C2213yes—
33C37×#519—21no—
34C37×#518—23no—
35C4×#41×C37—23no—
36C4×#41×C37—21no—
37C2×#117×C37C2213yes—
38C2×#117×C37C2213yes—
39C37×#485C2213yes—
40C37×#485C2216yes—
41C37×#485C2213yes—
42C37×#485C2216yescomplemented
43C37×#485C2216yescomplemented
44C37×#485C2216yescomplemented
45C37×#484C2213yescomplemented
46C37×#484C2216yescomplemented
47C37×#483C2213yescomplemented
48C37×#483C2216yescomplemented
49C37×#482C2211yescharacteristic
50C37×#482C2213yes—
51C37×#482C2216yescomplemented
52C37×#481C2213yescomplemented
53C37×#480C2213yescomplemented
54C37×#428C2213yescomplemented
55C37×#428C2213yescomplemented
56C37×#428C2213yescomplemented
57C37×#428C2213yescomplemented
58C37×#427C2213yescomplemented
59C37×#427C2213yescomplemented
60C2×#107×C37C2213yescomplemented
61C2×#106×C37C2213yescomplemented
62C37×#419C2213yescomplemented
63C37×#419C2213yescomplemented
64C37×#417C2213yescomplemented
65C37×#417C2213yescomplemented
66C37×#416C2213yescomplemented
67C37×#416C2213yescomplemented
68C2×#103×C37C2213yescomplemented
69C2×#103×C37C2213yescomplemented
70C37×#408C2213yes—
71C37×#408C2213yes—
72C37×#407C2213yes—
73C2×C22⋊C8×C37C2213yes—
742−1+4×C37—24no—
752−1+4×C37—24no—
76C2×#41×C37—24no—
77C2×#41×C37—24no—
78C2×#41×C37—23no—
79C2×#41×C37D413yes—
80C2×#41×C37D411yescharacteristic
81C2×#41×C37C2313yes—
82C2×#41×C37C2313yes—
83C2×#41×C37C2311yescharacteristic
84C22×Q8×C37—21no—
85C22×Q8×C37D411yescharacteristic
86C22×Q8×C37C2313yes—
87C22×D4×C37D413yes—
88C23×C4×C37C2313yes—
89#131×C37—24no—
90#131×C37—24no—
91C2×M16×C37C2313yes—
92C2×M16×C37C2313yes—
93C22×C8×C37C2313yes—
94C22×C8×C37C2313yes—
95C4⋊Q8×C37—23no—
96#124×C37—23no—
97#123×C37—26no—
98#123×C37—23no—
99C22⋊Q8×C37—23no—
100C22⋊Q8×C37—23no—
101C22⋊Q8×C37—23no—
102C22⋊Q8×C37C2313yes—
103C22⋊Q8×C37C2316yes—
104C22⋊Q8×C37C2313yes—
105#121×C37—26no—
106#121×C37—23no—
107#121×C37C2311yescharacteristic
108#121×C37C2313yes—
109#120×C37—23no—
110C4×Q8×C37—23no—
111C4×Q8×C37—23no—
112C4×Q8×C37—21no—
113C4×Q8×C37—21no—
114C4×Q8×C37—21no—
115C4×D4×C37—23no—
116C4×D4×C37—26no—
117C4×D4×C37—26no—
118C4×D4×C37—23no—
119C4×D4×C37—23no—
120C4×D4×C37—23no—
121C4×D4×C37—23no—
122C4×D4×C37—23no—
123C4×D4×C37—23no—
124#117×C37—23no—
125#117×C37—23no—
126#117×C37—23no—
127#117×C37—23no—
128#117×C37C2313yes—
129#117×C37C2313yes—
130#117×C37C2316yes—
131#117×C37C2313yes—
132#117×C37C2311yescharacteristic
133#117×C37C2313yes—
134C2×C4⋊C4×C37—23no—
135C2×C4⋊C4×C37C2313yes—
136C2×C4⋊C4×C37C2313yes—
137C2×C4⋊C4×C37C2313yes—
138C2×C4⋊C4×C37C2313yes—
139C2×C4⋊C4×C37C2313yes—
140C2×C22⋊C4×C37—23no—
141C2×C22⋊C4×C37—23no—
142C2×C22⋊C4×C37—23no—
143C2×C42×C37—23no—
144C2×C42×C37—23no—
145#107×C37C2313yes—
146#107×C37C2316yes—
147#107×C37C2311yescharacteristic
148#107×C37C2313yes—
149#107×C37C2313yes—
150#106×C37C2313yes—
151#106×C37C2316yes—
152#106×C37C2311yescharacteristic
153#106×C37C2313yes—
154#106×C37C2313yes—
155#103×C37C2313yes—
156#103×C37C2313yes—
157#103×C37C2316yes—
158#103×C37C2316yes—
159#103×C37C2313yes—
160#103×C37C2313yes—
161#102×C37C2311yescharacteristic
162#102×C37C2311yescharacteristic
163#102×C37C2313yes—
164#102×C37C2313yes—
165C22⋊C8×C37C2311yescharacteristic
166C22⋊C8×C37C2313yes—
167C22⋊C8×C37C2313yes—
168C22⋊C8×C37C2313yes—
169C22⋊C8×C37C2316yes—
170C24×C37C2×D413yes—
171#41×C37—24no—
172#41×C37—212no—
173#41×C37—26no—
174#41×C37—26no—
175#41×C37—26no—
176#41×C37—26no—
177#41×C37—412no—
178#41×C37#4114yes—
179#41×C37#4114yes—
180C2×Q8×C37—24no—
181C2×Q8×C37—23no—
182C2×Q8×C37—26no—
183C2×Q8×C37—26no—
184C2×Q8×C37—44no—
185C2×Q8×C37C2×D413yes—
186C2×Q8×C37C2×D411yescharacteristic
187C2×Q8×C37C2413yes—
188C2×D4×C37—212no—
189C2×D4×C37—21no—
190C2×D4×C37—23no—
191C2×D4×C37—23no—
192C2×D4×C37C2×D416yes—
193C2×D4×C37C2×D413yes—
194C2×D4×C37C2×D413yes—
195C2×D4×C37C2411yescharacteristic
196C22×C4×C37—26no—
197C22×C4×C37—26no—
198C22×C4×C37—23no—
199C22×C4×C37—23no—
200C22×C4×C37—23no—
201C22×C4×C37—23no—
202C22×C4×C37—23no—
203C22×C4×C37—23no—
204C22×C4×C37—23no—
205C22×C4×C37C2×D413yes—
206C22×C4×C37C2×D413yes—
207C22×C4×C37C2×D413yes—
208C22×C4×C37C2413yes—
209C22×C4×C37C2411yescharacteristic
210C22×C4×C37C2413yes—
211M16×C37—26no—
212M16×C37—26no—
213C2×C8×C37—26no—
214C2×C8×C37—26no—
215C2×C8×C37C2411yescharacteristic
216C2×C8×C37C2413yes—
217C2×C8×C37C2413yes—
218C2×C8×C37C2411yescharacteristic
219C4⋊C4×C37—23no—
220C4⋊C4×C37—26no—
221C4⋊C4×C37—23no—
222C4⋊C4×C37—23no—
223C4⋊C4×C37—23no—
224C4⋊C4×C37—23no—
225C4⋊C4×C37—23no—
226C4⋊C4×C37—23no—
227C4⋊C4×C37C2411yescharacteristic
228C4⋊C4×C37C2413yes—
229C4⋊C4×C37C2411yescharacteristic
230C4⋊C4×C37C2413yes—
231C4⋊C4×C37C2413yes—
232C4⋊C4×C37C2411yescharacteristic
233C22⋊C4×C37—23no—
234C22⋊C4×C37—21no—
235C22⋊C4×C37—23no—
236C22⋊C4×C37—26no—
237C22⋊C4×C37—23no—
238C22⋊C4×C37—23no—
239C22⋊C4×C37—26no—
240C22⋊C4×C37—23no—
241C22⋊C4×C37—23no—
242C22⋊C4×C37—21no—
243C22⋊C4×C37—23no—
244C42×C37—23no—
245C42×C37—21no—
246C42×C37—26no—
247C42×C37—23no—
248C42×C37—23no—
249C42×C37—23no—
250C23×C37—26no—
251C23×C37—21no—
252C23×C37—43no—
253C23×C37—43no—
254C23×C37C22×D411yescharacteristic
255C23×C37C22×D413yes—
256C23×C37C22×D413yes—
257Q8×C37—26no—
258Q8×C37—23no—
259Q8×C37—23no—
260Q8×C37—46no—
261Q8×C37#12314yes—
262D4×C37—212no—
263D4×C37—26no—
264D4×C37—21no—
265D4×C37—21no—
266D4×C37—42no—
267D4×C37—46no—
268D4×C37—83no—
269D4×C37#123112yes—
270C2×C4×C37—26no—
271C2×C4×C37—26no—
272C2×C4×C37—26no—
273C2×C4×C37—21no—
274C2×C4×C37—21no—
275C2×C4×C37—23no—
276C2×C4×C37—23no—
277C2×C4×C37—23no—
278C2×C4×C37—21no—
279C2×C4×C37—23no—
280C2×C4×C37—21no—
281C2×C4×C37—21no—
282C2×C4×C37—23no—
283C2×C4×C37—23no—
284C2×C4×C37—46no—
285C2×C4×C37—46no—
286C2×C4×C37—83no—
287C2×C4×C37—83no—
288C2×C4×C37—83no—
289C2×C4×C37—83no—
290C2×C4×C37—83no—
291C2×C4×C37C22×D411yescharacteristic
292C2×C4×C37C22×D413yes—
293C2×C4×C37C22×D413yes—
294C2×C4×C37C2×#4116yes—
295C2×C4×C37C2×#4116yes—
296C2×C4×C37C2511yescharacteristic
297C8×C37—21no—
298C8×C37—21no—
299C8×C37—23no—
300C8×C37—23no—
301#60524C3711yesmaximal, characteristic, direct product factor, Sylow
302C22×C37—23no—
303C22×C37—23no—
304C22×C37—23no—
305C22×C37—21no—
306C22×C37—23no—
307C22×C37—21no—
308C22×C37—21no—
309C22×C37—23no—
310C22×C37—41no—
311C22×C37—41no—
312C22×C37—41no—
313C22×C37—86no—
314C22×C37C2×#12316yes—
315C22×C37C23×D411yescharacteristic
316C4×C37—21no—
317C4×C37—23no—
318C4×C37—43no—
319C4×C37—41no—
320C4×C37—43no—
321C4×C37—43no—
322C4×C37—41no—
323C4×C37—41no—
324C4×C37—43no—
325C4×C37C2×#12316yes—
326C4×C37C22×#4111yescharacteristic
327C4×C37C22×#4111yescharacteristic
328#3489C2×C3711yescharacteristic
329#3428C2×C3711yescharacteristic, complemented
330#3099C2×C3713yescomplemented
331#3098C2×C3713yescomplemented
332#3097C2×C3713yescomplemented
333#3097C2×C3713yescomplemented
334#3095C2×C3713yescomplemented
335#3093C2×C3713yescomplemented
336#3091C2×C3713yescomplemented
337C2×#485C2×C3713yescomplemented
338#2913C2×C3711yescharacteristic, complemented
339#2912C2×C3711yescharacteristic, complemented
340#2898C2×C3711yescharacteristic, complemented
341#2898C2×C3711yescharacteristic, complemented
342#2880C2×C3711yescharacteristic, complemented
343C2×C37—26no—
344C2×C37—43no—
345C2×C37—41no—
346C2×C37—81no—
347C2×C37C22×#12311yescharacteristic
348C2×C37#358411yescharacteristic
349C2×C37#358611yescharacteristic
350C2×2−1+4C22×C3711yescharacteristic
351C22×#41C22×C3711yescharacteristic
352C2×#131C22×C3711yescharacteristic
353C2×#131C22×C3711yescharacteristic
354D4×Q8—21no—
355#548—21no—
356#547—23no—
357#546—23no—
358#537C22×C3713yes—
359#536C22×C3713yes—
360#525C22×C3713yes—
361C2×C22⋊Q8C22×C3713yes—
362#520C22×C3713yes—
363#520C22×C3713yes—
364#520C22×C3711yescharacteristic
365#520C22×C3711yescharacteristic
366#520C22×C3711yescharacteristic
367#519—21no—
368#518—23no—
369C4×#41—23no—
370C4×#41—21no—
371C2×#117C22×C3713yes—
372C2×#117C22×C3713yes—
373#485C22×C3713yes—
374#485C22×C3716yes—
375#485C22×C3713yes—
376#485C22×C3716yescomplemented
377#485C22×C3716yescomplemented
378#485C22×C3716yescomplemented
379#484C22×C3713yescomplemented
380#484C22×C3716yescomplemented
381#483C22×C3713yescomplemented
382#483C22×C3716yescomplemented
383#482C22×C3711yescharacteristic
384#482C22×C3713yes—
385#482C22×C3716yescomplemented
386#481C22×C3713yescomplemented
387#480C22×C3713yescomplemented
388#428C22×C3713yescomplemented
389#428C22×C3713yescomplemented
390#428C22×C3713yescomplemented
391#428C22×C3713yescomplemented
392#427C22×C3713yescomplemented
393#427C22×C3713yescomplemented
394C2×#107C22×C3713yescomplemented
395C2×#106C22×C3713yescomplemented
396#419C22×C3713yescomplemented
397#419C22×C3713yescomplemented
398#417C22×C3713yescomplemented
399#417C22×C3713yescomplemented
400#416C22×C3713yescomplemented
401#416C22×C3713yescomplemented
402C2×#103C22×C3713yescomplemented
403C2×#103C22×C3713yescomplemented
404#408C22×C3713yes—
405#408C22×C3713yes—
406#407C22×C3713yes—
407C2×C22⋊C8C22×C3713yes—
408C37#6052411yescharacteristic, direct product factor, Sylow
4092−1+4—24no—
4102−1+4—24no—
411C2×#41—24no—
412C2×#41—24no—
413C2×#41—23no—
414C2×#41D4×C3713yes—
415C2×#41D4×C3711yescharacteristic
416C2×#41C23×C3713yes—
417C2×#41C23×C3713yes—
418C2×#41C23×C3711yescharacteristic
419C22×Q8—21no—
420C22×Q8D4×C3711yescharacteristic
421C22×Q8C23×C3713yes—
422C22×D4D4×C3713yes—
423C23×C4C23×C3713yes—
424#131—24no—
425#131—24no—
426C2×M16C23×C3713yes—
427C2×M16C23×C3713yes—
428C22×C8C23×C3713yes—
429C22×C8C23×C3713yes—
430C4⋊Q8—23no—
431#124—23no—
432#123—26no—
433#123—23no—
434C22⋊Q8—23no—
435C22⋊Q8—23no—
436C22⋊Q8—23no—
437C22⋊Q8C23×C3713yes—
438C22⋊Q8C23×C3716yes—
439C22⋊Q8C23×C3713yes—
440#121—26no—
441#121—23no—
442#121C23×C3711yescharacteristic
443#121C23×C3713yes—
444#120—23no—
445C4×Q8—23no—
446C4×Q8—23no—
447C4×Q8—21no—
448C4×Q8—21no—
449C4×Q8—21no—
450C4×D4—26no—
451C4×D4—26no—
452C4×D4—23no—
453C4×D4—23no—
454C4×D4—23no—
455C4×D4—23no—
456C4×D4—23no—
457C4×D4—23no—
458C4×D4—23no—
459#117—23no—
460#117—23no—
461#117—23no—
462#117—23no—
463#117C23×C3713yes—
464#117C23×C3711yescharacteristic
465#117C23×C3713yes—
466#117C23×C3713yes—
467#117C23×C3716yes—
468#117C23×C3713yes—
469C2×C4⋊C4—23no—
470C2×C4⋊C4C23×C3713yes—
471C2×C4⋊C4C23×C3713yes—
472C2×C4⋊C4C23×C3713yes—
473C2×C4⋊C4C23×C3713yes—
474C2×C4⋊C4C23×C3713yes—
475C2×C22⋊C4—23no—
476C2×C22⋊C4—23no—
477C2×C22⋊C4—23no—
478C2×C42—23no—
479C2×C42—23no—
480#107C23×C3713yes—
481#107C23×C3716yes—
482#107C23×C3711yescharacteristic
483#107C23×C3713yes—
484#107C23×C3713yes—
485#106C23×C3713yes—
486#106C23×C3716yes—
487#106C23×C3711yescharacteristic
488#106C23×C3713yes—
489#106C23×C3713yes—
490#103C23×C3713yes—
491#103C23×C3713yes—
492#103C23×C3716yes—
493#103C23×C3716yes—
494#103C23×C3713yes—
495#103C23×C3713yes—
496#102C23×C3711yescharacteristic
497#102C23×C3711yescharacteristic
498#102C23×C3713yes—
499#102C23×C3713yes—
500C22⋊C8C23×C3711yescharacteristic
501C22⋊C8C23×C3713yes—
502C22⋊C8C23×C3713yes—
503C22⋊C8C23×C3713yes—
504C22⋊C8C23×C3716yes—
505C24C2×D4×C3713yes—
506#41—24no—
507#41—212no—
508#41—26no—
509#41—26no—
510#41—26no—
511#41—26no—
512#41—412no—
513#41#41×C3714yes—
514#41#41×C3714yes—
515C2×Q8—24no—
516C2×Q8—23no—
517C2×Q8—26no—
518C2×Q8—26no—
519C2×Q8—44no—
520C2×Q8C2×D4×C3713yes—
521C2×Q8C2×D4×C3711yescharacteristic
522C2×Q8C24×C3713yes—
523C2×D4—212no—
524C2×D4—21no—
525C2×D4—23no—
526C2×D4—23no—
527C2×D4C2×D4×C3716yes—
528C2×D4C2×D4×C3713yes—
529C2×D4C2×D4×C3713yes—
530C2×D4C24×C3711yescharacteristic
531C22×C4—26no—
532C22×C4—26no—
533C22×C4—23no—
534C22×C4—23no—
535C22×C4—23no—
536C22×C4—23no—
537C22×C4—23no—
538C22×C4—23no—
539C22×C4—23no—
540C22×C4C2×D4×C3713yes—
541C22×C4C2×D4×C3713yes—
542C22×C4C2×D4×C3713yes—
543C22×C4C24×C3713yes—
544C22×C4C24×C3711yescharacteristic
545C22×C4C24×C3713yes—
546M16—26no—
547M16—26no—
548C2×C8—26no—
549C2×C8—26no—
550C2×C8C24×C3711yescharacteristic
551C2×C8C24×C3713yes—
552C2×C8C24×C3713yes—
553C2×C8C24×C3711yescharacteristic
554C4⋊C4—23no—
555C4⋊C4—26no—
556C4⋊C4—23no—
557C4⋊C4—23no—
558C4⋊C4—23no—
559C4⋊C4—23no—
560C4⋊C4—23no—
561C4⋊C4—23no—
562C4⋊C4C24×C3711yescharacteristic
563C4⋊C4C24×C3713yes—
564C4⋊C4C24×C3711yescharacteristic
565C4⋊C4C24×C3713yes—
566C4⋊C4C24×C3713yes—
567C4⋊C4C24×C3711yescharacteristic
568C22⋊C4—23no—
569C22⋊C4—21no—
570C22⋊C4—23no—
571C22⋊C4—26no—
572C22⋊C4—23no—
573C22⋊C4—23no—
574C22⋊C4—26no—
575C22⋊C4—23no—
576C22⋊C4—23no—
577C22⋊C4—21no—
578C22⋊C4—23no—
579C42—23no—
580C42—21no—
581C42—26no—
582C42—23no—
583C42—23no—
584C42—23no—
585C23—26no—
586C23—21no—
587C23—43no—
588C23—43no—
589C23C22×D4×C3711yescharacteristic
590C23C22×D4×C3713yes—
591C23C22×D4×C3713yes—
592Q8—26no—
593Q8—23no—
594Q8—23no—
595Q8—46no—
596Q8#123×C3714yes—
597D4—212no—
598D4—26no—
599D4—21no—
600D4—21no—
601D4—42no—
602D4—46no—
603D4—83no—
604D4#123×C37112yes—
605C2×C4—26no—
606C2×C4—26no—
607C2×C4—26no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—23no—
611C2×C4—23no—
612C2×C4—23no—
613C2×C4—21no—
614C2×C4—23no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—23no—
618C2×C4—23no—
619C2×C4—46no—
620C2×C4—46no—
621C2×C4—83no—
622C2×C4—83no—
623C2×C4—83no—
624C2×C4—83no—
625C2×C4—83no—
626C2×C4C22×D4×C3711yescharacteristic
627C2×C4C22×D4×C3713yes—
628C2×C4C22×D4×C3713yes—
629C2×C4C2×#41×C3716yes—
630C2×C4C2×#41×C3716yes—
631C2×C4C25×C3711yescharacteristic
632C8—21no—
633C8—21no—
634C8—23no—
635C8—23no—
636C22—23no—
637C22—23no—
638C22—21no—
639C22—23no—
640C22—23no—
641C22—21no—
642C22—23no—
643C22—21no—
644C22—41no—
645C22—41no—
646C22—41no—
647C22—86no—
648C22C2×#123×C3716yes—
649C22C23×D4×C3711yescharacteristic
650C4—21no—
651C4—23no—
652C4—43no—
653C4—43no—
654C4—41no—
655C4—43no—
656C4—43no—
657C4—41no—
658C4—41no—
659C4C2×#123×C3716yes—
660C4C22×#41×C3711yescharacteristic
661C4C22×#41×C3711yescharacteristic
662C2—26no—
663C2—41no—
664C2—43no—
665C2—81no—
666C2C22×#123×C3711yescharacteristic
667C2C37×#358411yescharacteristic
668C2C37×#358611yescharacteristic
subgroupG/H
center, socleC22×C37C23×D4
commutator, Frattini, cosocleC2×C4C25×C37
prime radicalC37×#3489C2
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C37 ◁ C22×#41×C37 ◁ G

Complements

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

NH ≅ G/Ntype
2. C37×#3428C2semidirect
3. C37×#3099C2semidirect
4. C37×#3098C2semidirect
5. C37×#3097C2semidirect
6. C37×#3097C2semidirect
7. C37×#3095C2semidirect
8. C37×#3093C2semidirect
9. C37×#3091C2semidirect
10. C2×C37×#485C2semidirect
11. C37×#2913C2semidirect
12. C37×#2912C2semidirect
13. C37×#2898C2semidirect
14. C37×#2898C2semidirect
15. C37×#2880C2semidirect
42. C37×#485C22semidirect
43. C37×#485C22semidirect
44. C37×#485C22semidirect
45. C37×#484C22semidirect
46. C37×#484C22semidirect
47. C37×#483C22semidirect
48. C37×#483C22semidirect
51. C37×#482C22semidirect
52. C37×#481C22semidirect
53. C37×#480C22semidirect
54. C37×#428C22semidirect
55. C37×#428C22semidirect
56. C37×#428C22semidirect
57. C37×#428C22semidirect
58. C37×#427C22semidirect
59. C37×#427C22semidirect
60. C2×#107×C37C22semidirect
61. C2×#106×C37C22semidirect
62. C37×#419C22semidirect
63. C37×#419C22semidirect
64. C37×#417C22semidirect
65. C37×#417C22semidirect
66. C37×#416C22semidirect
67. C37×#416C22semidirect
68. C2×#103×C37C22semidirect
69. C2×#103×C37C22semidirect
301. #60524C37direct (N × H)
329. #3428C2×C37semidirect
330. #3099C2×C37semidirect
331. #3098C2×C37semidirect
332. #3097C2×C37semidirect
333. #3097C2×C37semidirect
334. #3095C2×C37semidirect
335. #3093C2×C37semidirect
336. #3091C2×C37semidirect
337. C2×#485C2×C37semidirect
338. #2913C2×C37semidirect
339. #2912C2×C37semidirect
340. #2898C2×C37semidirect
341. #2898C2×C37semidirect
342. #2880C2×C37semidirect
376. #485C22×C37semidirect
377. #485C22×C37semidirect
378. #485C22×C37semidirect
379. #484C22×C37semidirect
380. #484C22×C37semidirect
381. #483C22×C37semidirect
382. #483C22×C37semidirect
385. #482C22×C37semidirect
386. #481C22×C37semidirect
387. #480C22×C37semidirect
388. #428C22×C37semidirect
389. #428C22×C37semidirect
390. #428C22×C37semidirect
391. #428C22×C37semidirect
392. #427C22×C37semidirect
393. #427C22×C37semidirect
394. C2×#107C22×C37semidirect
395. C2×#106C22×C37semidirect
396. #419C22×C37semidirect
397. #419C22×C37semidirect
398. #417C22×C37semidirect
399. #417C22×C37semidirect
400. #416C22×C37semidirect
401. #416C22×C37semidirect
402. C2×#103C22×C37semidirect
403. C2×#103C22×C37semidirect
408. C37#60524direct (N × H)

Maximal subgroups

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

subgroupindex
C37×#34892
C37×#34282
C37×#30992
C37×#30982
C37×#30972
C37×#30952
C37×#30932
C37×#30912
C2×C37×#4852
C37×#29132
C37×#29122
C37×#28982
C37×#28802
#6052437