Finite Group Databasebeta

← C37×#24983 #22646236

Subgroups — C37×#24983 #22646236

Order 9472.

778 conjugacy classes of subgroups.

The subgroup lattice has 668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C37×#2538C211yesmaximal, characteristic
2C37×#2352C211yesmaximal, characteristic
3C37×#2077C211yesmaximal, characteristic, complemented
4C37×#2077C211yesmaximal, characteristic, complemented
5C37×#2035C211yesmaximal, characteristic, complemented
6C37×#2035C211yesmaximal, characteristic, complemented
7C37×#1955C211yesmaximal, characteristic
8C37×#1948C211yesmaximal, characteristic, complemented
9C37×#1873C211yesmaximal, characteristic, complemented
10C37×#1872C211yesmaximal, characteristic, complemented
11C37×#1836C211yesmaximal, characteristic, complemented
12C37×#1825C211yesmaximal, characteristic, complemented
13C37×#1824C211yesmaximal, characteristic, complemented
14C37×#1805C211yesmaximal, characteristic, complemented
15C37×#1763C211yesmaximal, characteristic, complemented
16C2×C22⋊Q8×C37C2211yescharacteristic
17C2×C22⋊Q8×C37C2211yescharacteristic
18C2×C4×Q8×C37C2211yescharacteristic
19C2×C4×D4×C37C2211yescharacteristic
20C2×#117×C37C2211yescharacteristic
21C22×C4⋊C4×C37C2211yescharacteristic
22C2×#106×C37C2211yescharacteristic
23C2×#106×C37C2211yescharacteristic
24C2×C4⋊C8×C37C2211yescharacteristic
25C2×#103×C37C2211yescharacteristic
26C2×#103×C37C2211yescharacteristic
27C2×#103×C37C2211yescharacteristic
28C2×#103×C37C2211yescharacteristic
29C2×C22⋊C8×C37C2211yescharacteristic
30C2×C22⋊C8×C37C2211yescharacteristic
31C2×C22⋊C8×C37C2211yescharacteristic
32C2×C22⋊C8×C37C2211yescharacteristic
33C2×#97×C37C2211yescharacteristic
34C37×#396—21no—
35C37×#396—21no—
36C37×#390—21no—
37C37×#389—21no—
38C37×#388—21no—
39C37×#387—21no—
40C37×#386—21no—
41C37×#384C2211yescharacteristic
42C37×#382C2211yescharacteristic
43C37×#380C2211yescharacteristic
44C37×#380C2211yescharacteristic
45C37×#380C2211yescharacteristic
46C37×#380C2211yescharacteristic
47C4×C4⋊C4×C37C2211yescharacteristic
48C4×C22⋊C4×C37—21no—
49C37×#340C2211yescharacteristic
50C37×#340C2211yescharacteristic
51C37×#340C2211yescharacteristic
52C37×#340C2211yescharacteristic
53C37×#340C2211yescharacteristic
54C37×#340C2211yescharacteristic
55C37×#340C2211yescharacteristic
56C37×#340C2211yescharacteristic
57C37×#340C2211yescharacteristic
58C37×#340C2211yescharacteristic
59C22×Q8×C37C2311yescharacteristic
60C22×D4×C37D411yescharacteristic
61C23×C4×C37—21no—
62C23×C4×C37C2311yescharacteristic
63C23×C4×C37C2311yescharacteristic
64C22×C8×C37C2311yescharacteristic
65C22×C8×C37C2311yescharacteristic
66C22×C8×C37C2311yescharacteristic
67C22×C8×C37C2311yescharacteristic
68C22⋊Q8×C37—22no—
69C22⋊Q8×C37—22no—
70C22⋊Q8×C37—41no—
71C22⋊Q8×C37—41no—
72C4×Q8×C37—22no—
73C4×Q8×C37—22no—
74C4×D4×C37—22no—
75C4×D4×C37—22no—
76#117×C37—22no—
77#117×C37—41no—
78C2×C4⋊C4×C37—22no—
79C2×C4⋊C4×C37—21no—
80C2×C4⋊C4×C37—21no—
81C2×C4⋊C4×C37—21no—
82C2×C4⋊C4×C37—21no—
83C2×C4⋊C4×C37—21no—
84C2×C4⋊C4×C37—21no—
85C2×C4⋊C4×C37—41no—
86C2×C4⋊C4×C37D411yescharacteristic
87C2×C4⋊C4×C37C2311yescharacteristic
88C2×C4⋊C4×C37C2311yescharacteristic
89C2×C4⋊C4×C37C2311yescharacteristic
90C2×C4⋊C4×C37C2311yescharacteristic
91C2×C4⋊C4×C37C2311yescharacteristic
92C2×C4⋊C4×C37C2311yescharacteristic
93C2×C4⋊C4×C37C2311yescharacteristic
94C2×C22⋊C4×C37—21no—
95C2×C22⋊C4×C37—21no—
96C2×C22⋊C4×C37—21no—
97C2×C22⋊C4×C37—21no—
98C2×C22⋊C4×C37—21no—
99C2×C22⋊C4×C37—21no—
100C2×C22⋊C4×C37—21no—
101C2×C22⋊C4×C37D411yescharacteristic
102C2×C22⋊C4×C37D411yescharacteristic
103C2×C42×C37—21no—
104C2×C42×C37—21no—
105C2×C42×C37—21no—
106C2×C42×C37C2311yescharacteristic
107#106×C37—41no—
108#106×C37—41no—
109C4⋊C8×C37—22no—
110#103×C37—22no—
111#103×C37—22no—
112#103×C37—41no—
113#103×C37—41no—
114C22⋊C8×C37—41no—
115C22⋊C8×C37—41no—
116C22⋊C8×C37—41no—
117C22⋊C8×C37—41no—
118#97×C37—22no—
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×C37—21no—
126C24×C37C2×D411yescharacteristic
127C24×C37C2×D411yescharacteristic
128C2×Q8×C37—21no—
129C2×Q8×C37—21no—
130C2×Q8×C37—21no—
131C2×Q8×C37—21no—
132C2×Q8×C37—21no—
133C2×Q8×C37#4112yes—
134C2×D4×C37—22no—
135C2×D4×C37—22no—
136C2×D4×C37—41no—
137C22×C4×C37—21no—
138C22×C4×C37—21no—
139C22×C4×C37—21no—
140C22×C4×C37—21no—
141C22×C4×C37—21no—
142C22×C4×C37—21no—
143C22×C4×C37—21no—
144C22×C4×C37—21no—
145C22×C4×C37—21no—
146C22×C4×C37—21no—
147C22×C4×C37—21no—
148C22×C4×C37—21no—
149C22×C4×C37—21no—
150C22×C4×C37—21no—
151C22×C4×C37—21no—
152C22×C4×C37—21no—
153C22×C4×C37—21no—
154C22×C4×C37—21no—
155C22×C4×C37—21no—
156C22×C4×C37—21no—
157C22×C4×C37—42no—
158C22×C4×C37—42no—
159C22×C4×C37—81no—
160C22×C4×C37C2×D411yescharacteristic
161C22×C4×C37C2×D411yescharacteristic
162C22×C4×C37C2×D411yescharacteristic
163C22×C4×C37C2×D411yescharacteristic
164C22×C4×C37C2411yescharacteristic
165C2×C8×C37—21no—
166C2×C8×C37—21no—
167C2×C8×C37—21no—
168C2×C8×C37—21no—
169C2×C8×C37—21no—
170C2×C8×C37—21no—
171C2×C8×C37—21no—
172C2×C8×C37—21no—
173C2×C8×C37—21no—
174C2×C8×C37—21no—
175C2×C8×C37—21no—
176C2×C8×C37—21no—
177C4⋊C4×C37—22no—
178C4⋊C4×C37—21no—
179C4⋊C4×C37—21no—
180C4⋊C4×C37—21no—
181C4⋊C4×C37—21no—
182C4⋊C4×C37—21no—
183C4⋊C4×C37—21no—
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—42no—
192C4⋊C4×C37—42no—
193C4⋊C4×C37—42no—
194C4⋊C4×C37—42no—
195C4⋊C4×C37—42no—
196C4⋊C4×C37—81no—
197C4⋊C4×C37#4112yes—
198C22⋊C4×C37—22no—
199C22⋊C4×C37—22no—
200C22⋊C4×C37—42no—
201C22⋊C4×C37—42no—
202C22⋊C4×C37—42no—
203C22⋊C4×C37—42no—
204C22⋊C4×C37—81no—
205C22⋊C4×C37—81no—
206C22⋊C4×C37—81no—
207C42×C37—42no—
208C42×C37—42no—
209C42×C37—81no—
210C42×C37#4112yes—
211C42×C37#4112yes—
212C23×C37—21no—
213C23×C37—21no—
214C23×C37—21no—
215C23×C37—21no—
216C23×C37—21no—
217C23×C37—21no—
218C23×C37—21no—
219C23×C37—21no—
220C23×C37—21no—
221C23×C37—21no—
222C23×C37—21no—
223C23×C37—21no—
224C23×C37—21no—
225C23×C37#13712yes—
226C23×C37C22×D411yescharacteristic
227Q8×C37—22no—
228Q8×C37—22no—
229Q8×C37—41no—
230Q8×C37—41no—
231D4×C37—44no—
232C2×C4×C37—21no—
233C2×C4×C37—21no—
234C2×C4×C37—21no—
235C2×C4×C37—21no—
236C2×C4×C37—21no—
237C2×C4×C37—21no—
238C2×C4×C37—21no—
239C2×C4×C37—22no—
240C2×C4×C37—22no—
241C2×C4×C37—21no—
242C2×C4×C37—21no—
243C2×C4×C37—21no—
244C2×C4×C37—41no—
245C2×C4×C37—41no—
246C2×C4×C37—41no—
247C2×C4×C37—41no—
248C2×C4×C37—41no—
249C2×C4×C37—41no—
250C2×C4×C37—41no—
251C2×C4×C37—41no—
252C2×C4×C37—41no—
253C2×C4×C37—41no—
254C2×C4×C37—41no—
255C2×C4×C37—41no—
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×C37#12312yes—
276C2×C4×C37#12312yes—
277C2×C4×C37C2×#4111yescharacteristic
278C2×C4×C37C2×#4111yescharacteristic
279C2×C4×C37C2×#4111yescharacteristic
280C2×C4×C37C2×#4111yescharacteristic
281C2×C4×C37H(5,𝔽2)11yescharacteristic
282C2×C4×C37H(5,𝔽2)11yescharacteristic
283C8×C37—41no—
284C8×C37—41no—
285C8×C37—41no—
286C8×C37—41no—
287#24983C3711yesmaximal, characteristic, direct product factor, Sylow
288C22×C37—22no—
289C22×C37—22no—
290C22×C37—22no—
291C22×C37—41no—
292C22×C37—41no—
293C22×C37—41no—
294C22×C37—41no—
295C22×C37—41no—
296C22×C37—41no—
297C22×C37—41no—
298C22×C37—41no—
299C22×C37—41no—
300C22×C37—41no—
301C22×C37—41no—
302C22×C37C2×#12311yescharacteristic
303C22×C37#54611yescharacteristic
304C22×C37#54611yescharacteristic
305C22×C37C2×#13711yescharacteristic
306C22×C37#57511yescharacteristic
307C22×C37#57711yescharacteristic
308C22×C37#57711yescharacteristic
309C4×C37—22no—
310C4×C37—22no—
311C4×C37—41no—
312C4×C37—41no—
313C4×C37—42no—
314C4×C37—42no—
315C4×C37—81no—
316C4×C37—81no—
317C4×C37—81no—
318C4×C37—81no—
319C4×C37—81no—
320C4×C37—81no—
321C4×C37#52911yescharacteristic
322C4×C37#54011yescharacteristic
323C4×C37#55311yescharacteristic
324C4×C37#55511yescharacteristic
325#2538C2×C3711yescharacteristic
326#2352C2×C3711yescharacteristic
327#2077C2×C3711yescharacteristic, complemented
328#2077C2×C3711yescharacteristic, complemented
329#2035C2×C3711yescharacteristic, complemented
330#2035C2×C3711yescharacteristic, complemented
331#1955C2×C3711yescharacteristic
332#1948C2×C3711yescharacteristic, complemented
333#1873C2×C3711yescharacteristic, complemented
334#1872C2×C3711yescharacteristic, complemented
335#1836C2×C3711yescharacteristic, complemented
336#1825C2×C3711yescharacteristic, complemented
337#1824C2×C3711yescharacteristic, complemented
338#1805C2×C3711yescharacteristic, complemented
339#1763C2×C3711yescharacteristic, complemented
340C2×C37—42no—
341C2×C37—81no—
342C2×C37#242011yescharacteristic
343C2×C37#309511yescharacteristic
344C2×C37#309911yescharacteristic
345C2×C37#331111yescharacteristic
346C2×C37#331611yescharacteristic
347C2×C37#331711yescharacteristic
348C2×C37#332011yescharacteristic
349C2×C22⋊Q8C22×C3711yescharacteristic
350C2×C22⋊Q8C22×C3711yescharacteristic
351C2×C4×Q8C22×C3711yescharacteristic
352C2×C4×D4C22×C3711yescharacteristic
353C2×#117C22×C3711yescharacteristic
354C22×C4⋊C4C22×C3711yescharacteristic
355C2×#106C22×C3711yescharacteristic
356C2×#106C22×C3711yescharacteristic
357C2×C4⋊C8C22×C3711yescharacteristic
358C2×#103C22×C3711yescharacteristic
359C2×#103C22×C3711yescharacteristic
360C2×#103C22×C3711yescharacteristic
361C2×#103C22×C3711yescharacteristic
362C2×C22⋊C8C22×C3711yescharacteristic
363C2×C22⋊C8C22×C3711yescharacteristic
364C2×C22⋊C8C22×C3711yescharacteristic
365C2×C22⋊C8C22×C3711yescharacteristic
366C2×#97C22×C3711yescharacteristic
367#396—21no—
368#396—21no—
369#390—21no—
370#389—21no—
371#388—21no—
372#387—21no—
373#386—21no—
374#384C22×C3711yescharacteristic
375#382C22×C3711yescharacteristic
376#380C22×C3711yescharacteristic
377#380C22×C3711yescharacteristic
378#380C22×C3711yescharacteristic
379#380C22×C3711yescharacteristic
380C4×C4⋊C4C22×C3711yescharacteristic
381C4×C22⋊C4—21no—
382#340C22×C3711yescharacteristic
383#340C22×C3711yescharacteristic
384#340C22×C3711yescharacteristic
385#340C22×C3711yescharacteristic
386#340C22×C3711yescharacteristic
387#340C22×C3711yescharacteristic
388#340C22×C3711yescharacteristic
389#340C22×C3711yescharacteristic
390#340C22×C3711yescharacteristic
391#340C22×C3711yescharacteristic
392C37#2498311yescharacteristic, direct product factor, Sylow
393C22×Q8C23×C3711yescharacteristic
394C22×D4D4×C3711yescharacteristic
395C23×C4—21no—
396C23×C4C23×C3711yescharacteristic
397C23×C4C23×C3711yescharacteristic
398C22×C8C23×C3711yescharacteristic
399C22×C8C23×C3711yescharacteristic
400C22×C8C23×C3711yescharacteristic
401C22×C8C23×C3711yescharacteristic
402C22⋊Q8—22no—
403C22⋊Q8—22no—
404C22⋊Q8—41no—
405C22⋊Q8—41no—
406C4×Q8—22no—
407C4×Q8—22no—
408C4×D4—22no—
409C4×D4—22no—
410#117—22no—
411#117—41no—
412C2×C4⋊C4—22no—
413C2×C4⋊C4—21no—
414C2×C4⋊C4—21no—
415C2×C4⋊C4—21no—
416C2×C4⋊C4—21no—
417C2×C4⋊C4—21no—
418C2×C4⋊C4—21no—
419C2×C4⋊C4—41no—
420C2×C4⋊C4D4×C3711yescharacteristic
421C2×C4⋊C4C23×C3711yescharacteristic
422C2×C4⋊C4C23×C3711yescharacteristic
423C2×C4⋊C4C23×C3711yescharacteristic
424C2×C4⋊C4C23×C3711yescharacteristic
425C2×C4⋊C4C23×C3711yescharacteristic
426C2×C4⋊C4C23×C3711yescharacteristic
427C2×C4⋊C4C23×C3711yescharacteristic
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×C22⋊C4—21no—
435C2×C22⋊C4D4×C3711yescharacteristic
436C2×C22⋊C4D4×C3711yescharacteristic
437C2×C42—21no—
438C2×C42—21no—
439C2×C42—21no—
440C2×C42C23×C3711yescharacteristic
441#106—41no—
442#106—41no—
443C4⋊C8—22no—
444#103—22no—
445#103—22no—
446#103—41no—
447#103—41no—
448C22⋊C8—41no—
449C22⋊C8—41no—
450C22⋊C8—41no—
451C22⋊C8—41no—
452#97—22no—
453#95—21no—
454#95—21no—
455#95—21no—
456#95—21no—
457#95—21no—
458#95—21no—
459#95—21no—
460C24C2×D4×C3711yescharacteristic
461C24C2×D4×C3711yescharacteristic
462C2×Q8—21no—
463C2×Q8—21no—
464C2×Q8—21no—
465C2×Q8—21no—
466C2×Q8—21no—
467C2×Q8#41×C3712yes—
468C2×D4—22no—
469C2×D4—22no—
470C2×D4—41no—
471C22×C4—21no—
472C22×C4—21no—
473C22×C4—21no—
474C22×C4—21no—
475C22×C4—21no—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—42no—
492C22×C4—42no—
493C22×C4—81no—
494C22×C4C2×D4×C3711yescharacteristic
495C22×C4C2×D4×C3711yescharacteristic
496C22×C4C2×D4×C3711yescharacteristic
497C22×C4C2×D4×C3711yescharacteristic
498C22×C4C24×C3711yescharacteristic
499C2×C8—21no—
500C2×C8—21no—
501C2×C8—21no—
502C2×C8—21no—
503C2×C8—21no—
504C2×C8—21no—
505C2×C8—21no—
506C2×C8—21no—
507C2×C8—21no—
508C2×C8—21no—
509C2×C8—21no—
510C2×C8—21no—
511C4⋊C4—22no—
512C4⋊C4—21no—
513C4⋊C4—21no—
514C4⋊C4—21no—
515C4⋊C4—21no—
516C4⋊C4—21no—
517C4⋊C4—21no—
518C4⋊C4—21no—
519C4⋊C4—21no—
520C4⋊C4—21no—
521C4⋊C4—21no—
522C4⋊C4—21no—
523C4⋊C4—21no—
524C4⋊C4—21no—
525C4⋊C4—42no—
526C4⋊C4—42no—
527C4⋊C4—42no—
528C4⋊C4—42no—
529C4⋊C4—42no—
530C4⋊C4—81no—
531C4⋊C4#41×C3712yes—
532C22⋊C4—22no—
533C22⋊C4—22no—
534C22⋊C4—42no—
535C22⋊C4—42no—
536C22⋊C4—42no—
537C22⋊C4—42no—
538C22⋊C4—81no—
539C22⋊C4—81no—
540C22⋊C4—81no—
541C42—42no—
542C42—42no—
543C42—81no—
544C42#41×C3712yes—
545C42#41×C3712yes—
546C23—21no—
547C23—21no—
548C23—21no—
549C23—21no—
550C23—21no—
551C23—21no—
552C23—21no—
553C23—21no—
554C23—21no—
555C23—21no—
556C23—21no—
557C23—21no—
558C23—21no—
559C23#137×C3712yes—
560C23C22×D4×C3711yescharacteristic
561Q8—22no—
562Q8—22no—
563Q8—41no—
564Q8—41no—
565D4—44no—
566C2×C4—21no—
567C2×C4—21no—
568C2×C4—21no—
569C2×C4—21no—
570C2×C4—21no—
571C2×C4—21no—
572C2×C4—21no—
573C2×C4—22no—
574C2×C4—22no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—41no—
579C2×C4—41no—
580C2×C4—41no—
581C2×C4—41no—
582C2×C4—41no—
583C2×C4—41no—
584C2×C4—41no—
585C2×C4—41no—
586C2×C4—41no—
587C2×C4—41no—
588C2×C4—41no—
589C2×C4—41no—
590C2×C4—41no—
591C2×C4—41no—
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—84no—
609C2×C4#123×C3712yes—
610C2×C4#123×C3712yes—
611C2×C4C2×#41×C3711yescharacteristic
612C2×C4C2×#41×C3711yescharacteristic
613C2×C4C2×#41×C3711yescharacteristic
614C2×C4C2×#41×C3711yescharacteristic
615C2×C4H(5,𝔽2)×C3711yescharacteristic
616C2×C4H(5,𝔽2)×C3711yescharacteristic
617C8—41no—
618C8—41no—
619C8—41no—
620C8—41no—
621C22—22no—
622C22—22no—
623C22—22no—
624C22—41no—
625C22—41no—
626C22—41no—
627C22—41no—
628C22—41no—
629C22—41no—
630C22—41no—
631C22—41no—
632C22—41no—
633C22—41no—
634C22—41no—
635C22C2×#123×C3711yescharacteristic
636C22C37×#54611yescharacteristic
637C22C37×#54611yescharacteristic
638C22C2×#137×C3711yescharacteristic
639C22C37×#57511yescharacteristic
640C22C37×#57711yescharacteristic
641C22C37×#57711yescharacteristic
642C4—22no—
643C4—22no—
644C4—41no—
645C4—41no—
646C4—42no—
647C4—42no—
648C4—81no—
649C4—81no—
650C4—81no—
651C4—81no—
652C4—81no—
653C4—81no—
654C4C37×#52911yescharacteristic
655C4C37×#54011yescharacteristic
656C4C37×#55311yescharacteristic
657C4C37×#55511yescharacteristic
658C2—42no—
659C2—81no—
660C2C37×#242011yescharacteristic
661C2C37×#309511yescharacteristic
662C2C37×#309911yescharacteristic
663C2C37×#331111yescharacteristic
664C2C37×#331611yescharacteristic
665C2C37×#331711yescharacteristic
666C2C37×#332011yescharacteristic
subgroupG/H
center, socleC23×C37C22×D4
commutator, Frattini, cosocleC22×C4C24×C37
prime radicalC22×D4×C37D4
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C37 ◁ C2×C4×D4×C37 ◁ G

Complements

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

NH ≅ G/Ntype
3. C37×#2077C2semidirect
4. C37×#2077C2semidirect
5. C37×#2035C2semidirect
6. C37×#2035C2semidirect
8. C37×#1948C2semidirect
9. C37×#1873C2semidirect
10. C37×#1872C2semidirect
11. C37×#1836C2semidirect
12. C37×#1825C2semidirect
13. C37×#1824C2semidirect
14. C37×#1805C2semidirect
15. C37×#1763C2semidirect
287. #24983C37direct (N × H)
327. #2077C2×C37semidirect
328. #2077C2×C37semidirect
329. #2035C2×C37semidirect
330. #2035C2×C37semidirect
332. #1948C2×C37semidirect
333. #1873C2×C37semidirect
334. #1872C2×C37semidirect
335. #1836C2×C37semidirect
336. #1825C2×C37semidirect
337. #1824C2×C37semidirect
338. #1805C2×C37semidirect
339. #1763C2×C37semidirect
392. C37#24983direct (N × H)

Maximal subgroups

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

subgroupindex
C37×#25382
C37×#23522
C37×#20772
C37×#20352
C37×#19552
C37×#19482
C37×#18732
C37×#18722
C37×#18362
C37×#18252
C37×#18242
C37×#18052
C37×#17632
#2498337