Finite Group Databasebeta

← C37×#28877 #22650130

Subgroups — C37×#28877 #22650130

Order 9472.

808 conjugacy classes of subgroups.

The subgroup lattice has 672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C37×#2511C211yesmaximal, characteristic, complemented
2C37×#2445C211yesmaximal, characteristic
3C37×#2084C211yesmaximal, characteristic, complemented
4C37×#2065C211yesmaximal, characteristic, complemented
5C37×#2055C211yesmaximal, characteristic, complemented
6C37×#2014C211yesmaximal, characteristic
7C37×#1968C211yesmaximal, characteristic, complemented
8C37×#1968C211yesmaximal, characteristic, complemented
9C37×#1957C211yesmaximal, characteristic
10C37×#1934C211yesmaximal, characteristic, complemented
11C37×#1933C211yesmaximal, characteristic, complemented
12C37×#1926C211yesmaximal, characteristic, complemented
13C37×#1877C211yesmaximal, characteristic, complemented
14C8×C4⋊C4×C37C211yesmaximal, characteristic, complemented
15C4×#102×C37C211yesmaximal, characteristic, complemented
16C22×SD16×C37C2211yescharacteristic
17C22×SD16×C37C2211yescharacteristic
18C2×#127×C37C2211yescharacteristic
19C2×#123×C37—21no—
20C2×C4×D4×C37C2211yescharacteristic
21C2×#106×C37C2211yescharacteristic
22C2×#106×C37C2211yescharacteristic
23C2×C4⋊C8×C37C2211yescharacteristic
24C2×#103×C37C2211yescharacteristic
25C2×#103×C37C2211yescharacteristic
26C2×#102×C37C2211yescharacteristic
27C2×#102×C37C2211yescharacteristic
28C2×#102×C37C2211yescharacteristic
29C2×#102×C37C2211yescharacteristic
30C2×#102×C37C2211yescharacteristic
31C2×#102×C37C2211yescharacteristic
32C2×C4×C8×C37C2211yescharacteristic
33C2×C4×C8×C37C2211yescharacteristic
34C2×C4×C8×C37C2211yescharacteristic
35C37×#400—21no—
36C37×#400—21no—
37C37×#394—21no—
38C37×#394—21no—
39C37×#391C2211yescharacteristic
40C37×#391C2211yescharacteristic
41C37×#391C2211yescharacteristic
42C37×#390C2211yescharacteristic
43C37×#390C2211yescharacteristic
44C37×#390C2211yescharacteristic
45C37×#389C2211yescharacteristic
46C37×#389C2211yescharacteristic
47C37×#387—21no—
48C37×#387—21no—
49C37×#386—21no—
50C37×#384C2211yescharacteristic
51C4×C4⋊C4×C37C2211yescharacteristic
52C4×C4⋊C4×C37C2211yescharacteristic
53C37×#340C2211yescharacteristic
54C37×#340C2211yescharacteristic
55C37×#340C2211yescharacteristic
56C37×#340C2211yescharacteristic
57C37×#336C2211yescharacteristic
58C37×#336C2211yescharacteristic
59C22×Q8×C37C2311yescharacteristic
60C22×D4×C37—21no—
61C22×D4×C37—21no—
62C22×D4×C37C2311yescharacteristic
63C22×D4×C37C2311yescharacteristic
64C23×C4×C37—21no—
65C2×SD16×C37—22no—
66C2×SD16×C37—22no—
67C2×SD16×C37—22no—
68C2×SD16×C37—41no—
69C2×SD16×C37—41no—
70C2×SD16×C37—41no—
71C22×C8×C37C2311yescharacteristic
72C22×C8×C37C2311yescharacteristic
73C22×C8×C37C2311yescharacteristic
74C22×C8×C37C2311yescharacteristic
75#127×C37—22no—
76#127×C37—41no—
77#123×C37—44no—
78C4×D4×C37—22no—
79C4×D4×C37—41no—
80C2×C4⋊C4×C37—21no—
81C2×C4⋊C4×C37—21no—
82C2×C4⋊C4×C37—21no—
83C2×C4⋊C4×C37—21no—
84C2×C4⋊C4×C37D411yescharacteristic
85C2×C4⋊C4×C37D411yescharacteristic
86C2×C4⋊C4×C37C2311yescharacteristic
87C2×C4⋊C4×C37C2311yescharacteristic
88C2×C4⋊C4×C37C2311yescharacteristic
89C2×C4⋊C4×C37C2311yescharacteristic
90C2×C4⋊C4×C37C2311yescharacteristic
91C2×C22⋊C4×C37—21no—
92C2×C22⋊C4×C37—21no—
93C2×C22⋊C4×C37—21no—
94C2×C22⋊C4×C37—21no—
95C2×C22⋊C4×C37—21no—
96C2×C22⋊C4×C37—21no—
97C2×C22⋊C4×C37—21no—
98C2×C42×C37—21no—
99C2×C42×C37C2311yescharacteristic
100C2×C42×C37C2311yescharacteristic
101C2×C42×C37C2311yescharacteristic
102#106×C37—41no—
103#106×C37—41no—
104C4⋊C8×C37—22no—
105#103×C37—22no—
106#103×C37—41no—
107#102×C37—22no—
108#102×C37—22no—
109#102×C37—22no—
110#102×C37—22no—
111#102×C37—41no—
112#102×C37—41no—
113C4×C8×C37—22no—
114C4×C8×C37—41no—
115C4×C8×C37—41no—
116#95×C37—21no—
117#95×C37—21no—
118#95×C37—21no—
119#95×C37—21no—
120#95×C37—21no—
121#95×C37—21no—
122#95×C37—21no—
123#95×C37—21no—
124#95×C37—21no—
125#95×C37D411yescharacteristic
126#95×C37D411yescharacteristic
127C24×C37—21no—
128C24×C37—21no—
129C2×Q8×C37—21no—
130C2×Q8×C37—21no—
131C2×Q8×C37—21no—
132C2×Q8×C37—21no—
133C2×Q8×C37—21no—
134C2×Q8×C37—21no—
135C2×D4×C37—21no—
136C2×D4×C37—21no—
137C2×D4×C37—21no—
138C2×D4×C37—21no—
139C2×D4×C37—21no—
140C2×D4×C37—21no—
141C2×D4×C37—21no—
142C2×D4×C37—21no—
143C2×D4×C37—21no—
144C2×D4×C37—21no—
145C2×D4×C37—21no—
146C2×D4×C37—42no—
147C2×D4×C37—42no—
148C2×D4×C37—42no—
149C2×D4×C37—42no—
150C2×D4×C37—81no—
151C2×D4×C37—81no—
152C2×D4×C37#4112yes—
153C22×C4×C37—21no—
154C22×C4×C37—21no—
155C22×C4×C37—21no—
156C22×C4×C37—21no—
157C22×C4×C37—21no—
158C22×C4×C37—21no—
159C22×C4×C37—42no—
160C22×C4×C37—42no—
161C22×C4×C37—81no—
162C22×C4×C37C2×D411yescharacteristic
163C22×C4×C37C2×D411yescharacteristic
164C22×C4×C37C2×D411yescharacteristic
165C22×C4×C37C2×D411yescharacteristic
166C22×C4×C37C2×D411yescharacteristic
167C22×C4×C37C2×D411yescharacteristic
168C22×C4×C37C2411yescharacteristic
169SD16×C37—44no—
170SD16×C37—44no—
171C2×C8×C37—21no—
172C2×C8×C37—21no—
173C2×C8×C37—21no—
174C2×C8×C37—21no—
175C2×C8×C37—21no—
176C2×C8×C37—21no—
177C2×C8×C37—21no—
178C2×C8×C37—21no—
179C2×C8×C37—21no—
180C2×C8×C37#4112yes—
181C2×C8×C37#4112yes—
182C2×C8×C37#4112yes—
183C4⋊C4×C37—22no—
184C4⋊C4×C37—21no—
185C4⋊C4×C37—21no—
186C4⋊C4×C37—21no—
187C4⋊C4×C37—21no—
188C4⋊C4×C37—21no—
189C4⋊C4×C37—21no—
190C4⋊C4×C37—21no—
191C4⋊C4×C37—21no—
192C4⋊C4×C37—21no—
193C4⋊C4×C37—21no—
194C4⋊C4×C37—42no—
195C4⋊C4×C37—42no—
196C4⋊C4×C37—81no—
197C4⋊C4×C37—81no—
198C4⋊C4×C37SD1614yescomplemented
199C22⋊C4×C37—42no—
200C22⋊C4×C37—42no—
201C22⋊C4×C37—42no—
202C22⋊C4×C37—42no—
203C22⋊C4×C37—81no—
204C22⋊C4×C37—81no—
205C22⋊C4×C37—81no—
206C42×C37—21no—
207C42×C37—21no—
208C42×C37—21no—
209C42×C37—21no—
210C42×C37—21no—
211C42×C37—21no—
212C42×C37—81no—
213C23×C37—22no—
214C23×C37—41no—
215C23×C37—41no—
216C23×C37—41no—
217C23×C37—41no—
218C23×C37—41no—
219C23×C37—41no—
220C23×C37—41no—
221C23×C37—41no—
222C23×C37—41no—
223C23×C37—41no—
224C23×C37—41no—
225C23×C37—41no—
226C23×C37—41no—
227C23×C37C22×D411yescharacteristic
228Q8×C37—41no—
229Q8×C37—41no—
230Q8×C37—41no—
231Q8×C37—41no—
232D4×C37—22no—
233D4×C37—22no—
234D4×C37—41no—
235D4×C37—41no—
236D4×C37—41no—
237D4×C37—41no—
238D4×C37—41no—
239D4×C37—41no—
240D4×C37—84no—
241D4×C37—84no—
242C2×C4×C37—21no—
243C2×C4×C37—21no—
244C2×C4×C37—21no—
245C2×C4×C37—21no—
246C2×C4×C37—21no—
247C2×C4×C37—21no—
248C2×C4×C37—21no—
249C2×C4×C37—21no—
250C2×C4×C37—21no—
251C2×C4×C37—21no—
252C2×C4×C37—21no—
253C2×C4×C37—21no—
254C2×C4×C37—21no—
255C2×C4×C37—21no—
256C2×C4×C37—41no—
257C2×C4×C37—41no—
258C2×C4×C37—41no—
259C2×C4×C37—41no—
260C2×C4×C37—41no—
261C2×C4×C37—41no—
262C2×C4×C37—41no—
263C2×C4×C37—41no—
264C2×C4×C37—41no—
265C2×C4×C37—41no—
266C2×C4×C37—41no—
267C2×C4×C37—41no—
268C2×C4×C37—41no—
269C2×C4×C37—41no—
270C2×C4×C37—41no—
271C2×C4×C37—41no—
272C2×C4×C37—41no—
273C2×C4×C37—41no—
274C2×C4×C37—84no—
275C2×C4×C37C2×SD1612yes—
276C2×C4×C37C2×SD1612yes—
277C2×C4×C37C2×SD1612yes—
278C2×C4×C37#13512yes—
279C2×C4×C37C2×#4111yescharacteristic
280C2×C4×C37C2×#4111yescharacteristic
281C2×C4×C37C2×#4111yescharacteristic
282C2×C4×C37C2×#4111yescharacteristic
283C2×C4×C37H(5,𝔽2)11yescharacteristic
284C2×C4×C37H(5,𝔽2)11yescharacteristic
285C8×C37—22no—
286C8×C37—22no—
287C8×C37—22no—
288C8×C37—41no—
289#28877C3711yesmaximal, characteristic, direct product factor, Sylow
290C22×C37—42no—
291C22×C37—42no—
292C22×C37—42no—
293C22×C37—81no—
294C22×C37—81no—
295C22×C37—81no—
296C22×C37—81no—
297C22×C37—81no—
298C22×C37—81no—
299C22×C37—81no—
300C22×C37—81no—
301C22×C37—81no—
302C22×C37—81no—
303C22×C37—81no—
304C22×C37#53211yescharacteristic
305C22×C37#54611yescharacteristic
306C22×C37#55011yescharacteristic
307C22×C37C22×SD1611yescharacteristic
308C22×C37C2×#13511yescharacteristic
309C22×C37#57611yescharacteristic
310C22×C37#57711yescharacteristic
311C4×C37—22no—
312C4×C37—22no—
313C4×C37—22no—
314C4×C37—22no—
315C4×C37—41no—
316C4×C37—41no—
317C4×C37—81no—
318C4×C37—81no—
319C4×C37—81no—
320C4×C37—81no—
321C4×C37—81no—
322C4×C37—81no—
323C4×C37#52911yescharacteristic
324C4×C37#53811yescharacteristic
325C4×C37#55111yescharacteristic
326C4×C37#55311yescharacteristic
327#2511C2×C3711yescharacteristic, complemented
328#2445C2×C3711yescharacteristic
329#2084C2×C3711yescharacteristic, complemented
330#2065C2×C3711yescharacteristic, complemented
331#2055C2×C3711yescharacteristic, complemented
332#2014C2×C3711yescharacteristic
333#1968C2×C3711yescharacteristic, complemented
334#1968C2×C3711yescharacteristic, complemented
335#1957C2×C3711yescharacteristic
336#1934C2×C3711yescharacteristic, complemented
337#1933C2×C3711yescharacteristic, complemented
338#1926C2×C3711yescharacteristic, complemented
339#1877C2×C3711yescharacteristic, complemented
340C8×C4⋊C4C2×C3711yescharacteristic, complemented
341C4×#102C2×C3711yescharacteristic, complemented
342C2×C37—82no—
343C2×C37—161no—
344C2×C37#255411yescharacteristic
345C2×C37#316711yescharacteristic
346C2×C37#317911yescharacteristic
347C2×C37#329511yescharacteristic
348C2×C37#329611yescharacteristic
349C2×C37#339211yescharacteristic
350C2×C37#339611yescharacteristic
351C22×SD16C22×C3711yescharacteristic
352C22×SD16C22×C3711yescharacteristic
353C2×#127C22×C3711yescharacteristic
354C2×#123—21no—
355C2×C4×D4C22×C3711yescharacteristic
356C2×#106C22×C3711yescharacteristic
357C2×#106C22×C3711yescharacteristic
358C2×C4⋊C8C22×C3711yescharacteristic
359C2×#103C22×C3711yescharacteristic
360C2×#103C22×C3711yescharacteristic
361C2×#102C22×C3711yescharacteristic
362C2×#102C22×C3711yescharacteristic
363C2×#102C22×C3711yescharacteristic
364C2×#102C22×C3711yescharacteristic
365C2×#102C22×C3711yescharacteristic
366C2×#102C22×C3711yescharacteristic
367C2×C4×C8C22×C3711yescharacteristic
368C2×C4×C8C22×C3711yescharacteristic
369C2×C4×C8C22×C3711yescharacteristic
370#400—21no—
371#400—21no—
372#394—21no—
373#394—21no—
374#391C22×C3711yescharacteristic
375#391C22×C3711yescharacteristic
376#391C22×C3711yescharacteristic
377#390C22×C3711yescharacteristic
378#390C22×C3711yescharacteristic
379#390C22×C3711yescharacteristic
380#389C22×C3711yescharacteristic
381#389C22×C3711yescharacteristic
382#387—21no—
383#387—21no—
384#386—21no—
385#384C22×C3711yescharacteristic
386C4×C4⋊C4C22×C3711yescharacteristic
387C4×C4⋊C4C22×C3711yescharacteristic
388#340C22×C3711yescharacteristic
389#340C22×C3711yescharacteristic
390#340C22×C3711yescharacteristic
391#340C22×C3711yescharacteristic
392#336C22×C3711yescharacteristic
393#336C22×C3711yescharacteristic
394C37#2887711yescharacteristic, direct product factor, Sylow
395C22×Q8C23×C3711yescharacteristic
396C22×D4—21no—
397C22×D4—21no—
398C22×D4C23×C3711yescharacteristic
399C22×D4C23×C3711yescharacteristic
400C23×C4—21no—
401C2×SD16—22no—
402C2×SD16—22no—
403C2×SD16—22no—
404C2×SD16—41no—
405C2×SD16—41no—
406C2×SD16—41no—
407C22×C8C23×C3711yescharacteristic
408C22×C8C23×C3711yescharacteristic
409C22×C8C23×C3711yescharacteristic
410C22×C8C23×C3711yescharacteristic
411#127—22no—
412#127—41no—
413#123—44no—
414C4×D4—22no—
415C4×D4—41no—
416C2×C4⋊C4—21no—
417C2×C4⋊C4—21no—
418C2×C4⋊C4—21no—
419C2×C4⋊C4—21no—
420C2×C4⋊C4D4×C3711yescharacteristic
421C2×C4⋊C4D4×C3711yescharacteristic
422C2×C4⋊C4C23×C3711yescharacteristic
423C2×C4⋊C4C23×C3711yescharacteristic
424C2×C4⋊C4C23×C3711yescharacteristic
425C2×C4⋊C4C23×C3711yescharacteristic
426C2×C4⋊C4C23×C3711yescharacteristic
427C2×C22⋊C4—21no—
428C2×C22⋊C4—21no—
429C2×C22⋊C4—21no—
430C2×C22⋊C4—21no—
431C2×C22⋊C4—21no—
432C2×C22⋊C4—21no—
433C2×C22⋊C4—21no—
434C2×C42—21no—
435C2×C42C23×C3711yescharacteristic
436C2×C42C23×C3711yescharacteristic
437C2×C42C23×C3711yescharacteristic
438#106—41no—
439#106—41no—
440C4⋊C8—22no—
441#103—22no—
442#103—41no—
443#102—22no—
444#102—22no—
445#102—22no—
446#102—22no—
447#102—41no—
448#102—41no—
449C4×C8—22no—
450C4×C8—41no—
451C4×C8—41no—
452#95—21no—
453#95—21no—
454#95—21no—
455#95—21no—
456#95—21no—
457#95—21no—
458#95—21no—
459#95—21no—
460#95—21no—
461#95D4×C3711yescharacteristic
462#95D4×C3711yescharacteristic
463C24—21no—
464C24—21no—
465C2×Q8—21no—
466C2×Q8—21no—
467C2×Q8—21no—
468C2×Q8—21no—
469C2×Q8—21no—
470C2×Q8—21no—
471C2×D4—21no—
472C2×D4—21no—
473C2×D4—21no—
474C2×D4—21no—
475C2×D4—21no—
476C2×D4—21no—
477C2×D4—21no—
478C2×D4—21no—
479C2×D4—21no—
480C2×D4—21no—
481C2×D4—21no—
482C2×D4—42no—
483C2×D4—42no—
484C2×D4—42no—
485C2×D4—42no—
486C2×D4—81no—
487C2×D4—81no—
488C2×D4#41×C3712yes—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—21no—
495C22×C4—42no—
496C22×C4—42no—
497C22×C4—81no—
498C22×C4C2×D4×C3711yescharacteristic
499C22×C4C2×D4×C3711yescharacteristic
500C22×C4C2×D4×C3711yescharacteristic
501C22×C4C2×D4×C3711yescharacteristic
502C22×C4C2×D4×C3711yescharacteristic
503C22×C4C2×D4×C3711yescharacteristic
504C22×C4C24×C3711yescharacteristic
505SD16—44no—
506SD16—44no—
507C2×C8—21no—
508C2×C8—21no—
509C2×C8—21no—
510C2×C8—21no—
511C2×C8—21no—
512C2×C8—21no—
513C2×C8—21no—
514C2×C8—21no—
515C2×C8—21no—
516C2×C8#41×C3712yes—
517C2×C8#41×C3712yes—
518C2×C8#41×C3712yes—
519C4⋊C4—22no—
520C4⋊C4—21no—
521C4⋊C4—21no—
522C4⋊C4—21no—
523C4⋊C4—21no—
524C4⋊C4—21no—
525C4⋊C4—21no—
526C4⋊C4—21no—
527C4⋊C4—21no—
528C4⋊C4—21no—
529C4⋊C4—21no—
530C4⋊C4—42no—
531C4⋊C4—42no—
532C4⋊C4—81no—
533C4⋊C4—81no—
534C4⋊C4SD16×C3714yescomplemented
535C22⋊C4—42no—
536C22⋊C4—42no—
537C22⋊C4—42no—
538C22⋊C4—42no—
539C22⋊C4—81no—
540C22⋊C4—81no—
541C22⋊C4—81no—
542C42—21no—
543C42—21no—
544C42—21no—
545C42—21no—
546C42—21no—
547C42—21no—
548C42—81no—
549C23—22no—
550C23—41no—
551C23—41no—
552C23—41no—
553C23—41no—
554C23—41no—
555C23—41no—
556C23—41no—
557C23—41no—
558C23—41no—
559C23—41no—
560C23—41no—
561C23—41no—
562C23—41no—
563C23C22×D4×C3711yescharacteristic
564Q8—41no—
565Q8—41no—
566Q8—41no—
567Q8—41no—
568D4—22no—
569D4—22no—
570D4—41no—
571D4—41no—
572D4—41no—
573D4—41no—
574D4—41no—
575D4—41no—
576D4—84no—
577D4—84no—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—21no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—41no—
599C2×C4—41no—
600C2×C4—41no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4—41no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—41no—
610C2×C4—84no—
611C2×C4C2×SD16×C3712yes—
612C2×C4C2×SD16×C3712yes—
613C2×C4C2×SD16×C3712yes—
614C2×C4#135×C3712yes—
615C2×C4C2×#41×C3711yescharacteristic
616C2×C4C2×#41×C3711yescharacteristic
617C2×C4C2×#41×C3711yescharacteristic
618C2×C4C2×#41×C3711yescharacteristic
619C2×C4H(5,𝔽2)×C3711yescharacteristic
620C2×C4H(5,𝔽2)×C3711yescharacteristic
621C8—22no—
622C8—22no—
623C8—22no—
624C8—41no—
625C22—42no—
626C22—42no—
627C22—42no—
628C22—81no—
629C22—81no—
630C22—81no—
631C22—81no—
632C22—81no—
633C22—81no—
634C22—81no—
635C22—81no—
636C22—81no—
637C22—81no—
638C22—81no—
639C22C37×#53211yescharacteristic
640C22C37×#54611yescharacteristic
641C22C37×#55011yescharacteristic
642C22C22×SD16×C3711yescharacteristic
643C22C2×#135×C3711yescharacteristic
644C22C37×#57611yescharacteristic
645C22C37×#57711yescharacteristic
646C4—22no—
647C4—22no—
648C4—22no—
649C4—22no—
650C4—41no—
651C4—41no—
652C4—81no—
653C4—81no—
654C4—81no—
655C4—81no—
656C4—81no—
657C4—81no—
658C4C37×#52911yescharacteristic
659C4C37×#53811yescharacteristic
660C4C37×#55111yescharacteristic
661C4C37×#55311yescharacteristic
662C2—82no—
663C2—161no—
664C2C37×#255411yescharacteristic
665C2C37×#316711yescharacteristic
666C2C37×#317911yescharacteristic
667C2C37×#329511yescharacteristic
668C2C37×#329611yescharacteristic
669C2C37×#339211yescharacteristic
670C2C37×#339611yescharacteristic
subgroupG/H
center, socleC23×C37C22×D4
commutator, Frattini, cosocleC22×C4C24×C37
prime radicalC2×#127×C37C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C37 ◁ C4×C4⋊C4×C37 ◁ G

Complements

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

NH ≅ G/Ntype
1. C37×#2511C2semidirect
3. C37×#2084C2semidirect
4. C37×#2065C2semidirect
5. C37×#2055C2semidirect
7. C37×#1968C2semidirect
8. C37×#1968C2semidirect
10. C37×#1934C2semidirect
11. C37×#1933C2semidirect
12. C37×#1926C2semidirect
13. C37×#1877C2semidirect
14. C8×C4⋊C4×C37C2semidirect
15. C4×#102×C37C2semidirect
198. C4⋊C4×C37SD16semidirect
289. #28877C37direct (N × H)
327. #2511C2×C37semidirect
329. #2084C2×C37semidirect
330. #2065C2×C37semidirect
331. #2055C2×C37semidirect
333. #1968C2×C37semidirect
334. #1968C2×C37semidirect
336. #1934C2×C37semidirect
337. #1933C2×C37semidirect
338. #1926C2×C37semidirect
339. #1877C2×C37semidirect
340. C8×C4⋊C4C2×C37semidirect
341. C4×#102C2×C37semidirect
394. C37#28877direct (N × H)
534. C4⋊C4SD16×C37semidirect

Maximal subgroups

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

subgroupindex
C37×#25112
C37×#24452
C37×#20842
C37×#20652
C37×#20552
C37×#20142
C37×#19682
C37×#19572
C37×#19342
C37×#19332
C37×#19262
C37×#18772
C8×C4⋊C4×C372
C4×#102×C372
#2887737