Finite Group Databasebeta

← C37×#29857 #22651110

Subgroups — C37×#29857 #22651110

Order 9472.

782 conjugacy classes of subgroups.

The subgroup lattice has 678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C37×#489C211yesmaximal, characteristic, complemented
2C2×C37×#433C211yesmaximal, characteristic, complemented
3C37×#2628C211yesmaximal, characteristic, complemented
4C37×#2620C211yesmaximal, characteristic
5C37×#2068C211yesmaximal, characteristic, complemented
6C37×#2067C211yesmaximal, characteristic, complemented
7C37×#2066C211yesmaximal, characteristic, complemented
8C37×#2065C211yesmaximal, characteristic, complemented
9C37×#2036C211yesmaximal, characteristic, complemented
10C37×#2035C211yesmaximal, characteristic, complemented
11C37×#2034C211yesmaximal, characteristic
12C37×#2033C211yesmaximal, characteristic
13C37×#1990C211yesmaximal, characteristic, complemented
14C37×#1958C211yesmaximal, characteristic, complemented
15C37×#1847C211yesmaximal, characteristic, complemented
16C2×C4⋊Q8×C37C2211yescharacteristic
17C2×#124×C37C2211yescharacteristic
18C2×C22⋊Q8×C37C2211yescharacteristic
19C2×#121×C37C2211yescharacteristic
20C2×#117×C37C2211yescharacteristic
21C37×#489—24no—
22C37×#433—24no—
23C2×#107×C37C2211yescharacteristic
24C2×#107×C37C2211yescharacteristic
25C2×#106×C37C2211yescharacteristic
26C2×#106×C37C2211yescharacteristic
27C2×C4⋊C8×C37C2211yescharacteristic
28C2×C4⋊C8×C37C2211yescharacteristic
29C2×#103×C37C2211yescharacteristic
30C2×#103×C37C2211yescharacteristic
31C2×#103×C37C2211yescharacteristic
32C2×#103×C37C2211yescharacteristic
33C2×#102×C37C2211yescharacteristic
34C2×#102×C37C2211yescharacteristic
35C2×#102×C37C2211yescharacteristic
36C2×#102×C37C2211yescharacteristic
37C2×C22⋊C8×C37C2211yescharacteristic
38C2×C22⋊C8×C37C2211yescharacteristic
39C2×#97×C37C2211yescharacteristic
40C2×C4×C8×C37C2211yescharacteristic
41C37×#400—21no—
42C37×#399—21no—
43C37×#396—21no—
44C37×#396—21no—
45C37×#395—21no—
46C37×#394—21no—
47C37×#394—21no—
48C37×#393—21no—
49C37×#391C2211yescharacteristic
50C37×#390C2211yescharacteristic
51C37×#389C2211yescharacteristic
52C37×#389C2211yescharacteristic
53C37×#384C2211yescharacteristic
54C37×#382C2211yescharacteristic
55C37×#380C2211yescharacteristic
56C37×#380C2211yescharacteristic
57C37×#340C2211yescharacteristic
58C37×#340C2211yescharacteristic
59C37×#340C2211yescharacteristic
60C37×#340C2211yescharacteristic
61C22×Q8×C37—21no—
62C22×Q8×C37C2311yescharacteristic
63C22×D4×C37—21no—
64C22×D4×C37C2311yescharacteristic
65C23×C4×C37C2311yescharacteristic
66C22×C8×C37C2311yescharacteristic
67C22×C8×C37C2311yescharacteristic
68C22×C8×C37C2311yescharacteristic
69C22×C8×C37C2311yescharacteristic
70C4⋊Q8×C37—22no—
71C4⋊Q8×C37—22no—
72#124×C37—22no—
73#124×C37—22no—
74C22⋊Q8×C37—41no—
75C22⋊Q8×C37—41no—
76#121×C37—41no—
77#121×C37—41no—
78#117×C37—22no—
79#117×C37—22no—
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—21no—
86C2×C4⋊C4×C37D411yescharacteristic
87C2×C4⋊C4×C37D411yescharacteristic
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×C37—21no—
102C2×C22⋊C4×C37D411yescharacteristic
103C2×C22⋊C4×C37D411yescharacteristic
104C2×C42×C37C2311yescharacteristic
105C2×C42×C37C2311yescharacteristic
106#107×C37—41no—
107#107×C37—41no—
108#106×C37—41no—
109#106×C37—41no—
110C4⋊C8×C37—22no—
111C4⋊C8×C37—22no—
112#103×C37—22no—
113#103×C37—22no—
114#103×C37—41no—
115#103×C37—41no—
116#102×C37—22no—
117#102×C37—22no—
118#102×C37—41no—
119#102×C37—41no—
120C22⋊C8×C37—22no—
121C22⋊C8×C37—22no—
122#97×C37D414yescomplemented
123C4×C8×C37—22no—
124#95×C37—21no—
125#95×C37—21no—
126#95×C37—21no—
127#95×C37—21no—
128#95×C37—21no—
129#95×C37—21no—
130#95×C37—21no—
131#95×C37—21no—
132C24×C37—21no—
133C24×C37C2×D411yescharacteristic
134C2×Q8×C37—21no—
135C2×Q8×C37—21no—
136C2×Q8×C37—21no—
137C2×Q8×C37—21no—
138C2×Q8×C37—21no—
139C2×Q8×C37—21no—
140C2×Q8×C37—42no—
141C2×Q8×C37—81no—
142C2×Q8×C37—81no—
143C2×D4×C37—21no—
144C2×D4×C37—21no—
145C2×D4×C37—21no—
146C2×D4×C37—21no—
147C2×D4×C37—21no—
148C2×D4×C37—21no—
149C2×D4×C37—42no—
150C2×D4×C37—81no—
151C2×D4×C37—81no—
152C22×C4×C37—21no—
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—21no—
160C22×C4×C37—21no—
161C22×C4×C37—21no—
162C22×C4×C37—21no—
163C22×C4×C37—21no—
164C22×C4×C37—21no—
165C22×C4×C37C2×D411yescharacteristic
166C22×C4×C37C2×D411yescharacteristic
167C22×C4×C37C2×D411yescharacteristic
168C22×C4×C37C2×D411yescharacteristic
169C22×C4×C37C2×D411yescharacteristic
170C22×C4×C37C2411yescharacteristic
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—21no—
181C2×C8×C37C2×D412yes—
182C2×C8×C37C2×D412yes—
183C4⋊C4×C37—22no—
184C4⋊C4×C37—22no—
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—21no—
195C4⋊C4×C37—21no—
196C4⋊C4×C37—21no—
197C4⋊C4×C37—42no—
198C4⋊C4×C37—42no—
199C4⋊C4×C37—81no—
200C4⋊C4×C37—81no—
201C4⋊C4×C37—81no—
202C4⋊C4×C37—81no—
203C22⋊C4×C37—22no—
204C22⋊C4×C37—22no—
205C22⋊C4×C37—42no—
206C22⋊C4×C37—42no—
207C22⋊C4×C37—42no—
208C22⋊C4×C37—42no—
209C22⋊C4×C37—81no—
210C22⋊C4×C37—81no—
211C22⋊C4×C37—81no—
212C22⋊C4×C37—81no—
213C42×C37—21no—
214C42×C37—21no—
215C42×C37C2×D412yes—
216C42×C37#4112yes—
217C23×C37—21no—
218C23×C37—21no—
219C23×C37—21no—
220C23×C37—21no—
221C23×C37—21no—
222C23×C37—21no—
223C23×C37—21no—
224C23×C37—41no—
225C23×C37—41no—
226C23×C37—41no—
227C23×C37—41no—
228C23×C37—41no—
229C23×C37—41no—
230C23×C37—41no—
231C23×C37C22×D411yescharacteristic
232Q8×C37—41no—
233Q8×C37—41no—
234Q8×C37—41no—
235Q8×C37—41no—
236Q8×C37—84no—
237D4×C37—41no—
238D4×C37—41no—
239D4×C37—41no—
240D4×C37—41no—
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—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—41no—
275C2×C4×C37—41no—
276C2×C4×C37—41no—
277C2×C4×C37—41no—
278C2×C4×C37—41no—
279C2×C4×C37—41no—
280C2×C4×C37#12112yes—
281C2×C4×C37#12112yes—
282C2×C4×C37C22×D411yescharacteristic
283C2×C4×C37C2×#4111yescharacteristic
284C2×C4×C37H(5,𝔽2)11yescharacteristic
285C2×C4×C37H(5,𝔽2)11yescharacteristic
286C2×C4×C372−1+411yescharacteristic
287C2×C4×C372−1+411yescharacteristic
288C8×C37—22no—
289C8×C37—22no—
290C8×C37—41no—
291C8×C37—41no—
292#29857C3711yesmaximal, characteristic, direct product factor, Sylow
293C22×C37—41no—
294C22×C37—41no—
295C22×C37—41no—
296C22×C37—41no—
297C22×C37—41no—
298C22×C37—41no—
299C22×C37—41no—
300C22×C37—81no—
301C22×C37—81no—
302C22×C37—81no—
303C22×C37—81no—
304C22×C37—81no—
305C22×C37—81no—
306C22×C37—81no—
307C22×C37C2×#12111yescharacteristic
308C22×C37#53511yescharacteristic
309C22×C37#53611yescharacteristic
310C22×C37#57611yescharacteristic
311C22×C37#57711yescharacteristic
312C22×C37#57711yescharacteristic
313C22×C37#57811yescharacteristic
314C4×C37—22no—
315C4×C37—22no—
316C4×C37—41no—
317C4×C37—41no—
318C4×C37—41no—
319C4×C37—81no—
320C4×C37—81no—
321C4×C37—81no—
322C4×C37—81no—
323C4×C37—81no—
324C4×C37—81no—
325C4×C37—81no—
326C4×C37#53711yescharacteristic
327C4×C37#53711yescharacteristic
328C4×C37#54211yescharacteristic
329C4×C37#54211yescharacteristic
330C2×#489C2×C3711yescharacteristic, complemented
331C2×#433C2×C3711yescharacteristic, complemented
332#2628C2×C3711yescharacteristic, complemented
333#2620C2×C3711yescharacteristic
334#2068C2×C3711yescharacteristic, complemented
335#2067C2×C3711yescharacteristic, complemented
336#2066C2×C3711yescharacteristic, complemented
337#2065C2×C3711yescharacteristic, complemented
338#2036C2×C3711yescharacteristic, complemented
339#2035C2×C3711yescharacteristic, complemented
340#2034C2×C3711yescharacteristic
341#2033C2×C3711yescharacteristic
342#1990C2×C3711yescharacteristic, complemented
343#1958C2×C3711yescharacteristic, complemented
344#1847C2×C3711yescharacteristic, complemented
345C2×C37—81no—
346C2×C37—161no—
347C2×C37#262011yescharacteristic
348C2×C37#306211yescharacteristic
349C2×C37#306311yescharacteristic
350C2×C37#322411yescharacteristic
351C2×C37#322511yescharacteristic
352C2×C37#324311yescharacteristic
353C2×C37#324411yescharacteristic
354C2×C4⋊Q8C22×C3711yescharacteristic
355C2×#124C22×C3711yescharacteristic
356C2×C22⋊Q8C22×C3711yescharacteristic
357C2×#121C22×C3711yescharacteristic
358C2×#117C22×C3711yescharacteristic
359#489—24no—
360#433—24no—
361C2×#107C22×C3711yescharacteristic
362C2×#107C22×C3711yescharacteristic
363C2×#106C22×C3711yescharacteristic
364C2×#106C22×C3711yescharacteristic
365C2×C4⋊C8C22×C3711yescharacteristic
366C2×C4⋊C8C22×C3711yescharacteristic
367C2×#103C22×C3711yescharacteristic
368C2×#103C22×C3711yescharacteristic
369C2×#103C22×C3711yescharacteristic
370C2×#103C22×C3711yescharacteristic
371C2×#102C22×C3711yescharacteristic
372C2×#102C22×C3711yescharacteristic
373C2×#102C22×C3711yescharacteristic
374C2×#102C22×C3711yescharacteristic
375C2×C22⋊C8C22×C3711yescharacteristic
376C2×C22⋊C8C22×C3711yescharacteristic
377C2×#97C22×C3711yescharacteristic
378C2×C4×C8C22×C3711yescharacteristic
379#400—21no—
380#399—21no—
381#396—21no—
382#396—21no—
383#395—21no—
384#394—21no—
385#394—21no—
386#393—21no—
387#391C22×C3711yescharacteristic
388#390C22×C3711yescharacteristic
389#389C22×C3711yescharacteristic
390#389C22×C3711yescharacteristic
391#384C22×C3711yescharacteristic
392#382C22×C3711yescharacteristic
393#380C22×C3711yescharacteristic
394#380C22×C3711yescharacteristic
395#340C22×C3711yescharacteristic
396#340C22×C3711yescharacteristic
397#340C22×C3711yescharacteristic
398#340C22×C3711yescharacteristic
399C37#2985711yescharacteristic, direct product factor, Sylow
400C22×Q8—21no—
401C22×Q8C23×C3711yescharacteristic
402C22×D4—21no—
403C22×D4C23×C3711yescharacteristic
404C23×C4C23×C3711yescharacteristic
405C22×C8C23×C3711yescharacteristic
406C22×C8C23×C3711yescharacteristic
407C22×C8C23×C3711yescharacteristic
408C22×C8C23×C3711yescharacteristic
409C4⋊Q8—22no—
410C4⋊Q8—22no—
411#124—22no—
412#124—22no—
413C22⋊Q8—41no—
414C22⋊Q8—41no—
415#121—41no—
416#121—41no—
417#117—22no—
418#117—22no—
419C2×C4⋊C4—21no—
420C2×C4⋊C4—21no—
421C2×C4⋊C4—21no—
422C2×C4⋊C4—21no—
423C2×C4⋊C4—21no—
424C2×C4⋊C4—21no—
425C2×C4⋊C4D4×C3711yescharacteristic
426C2×C4⋊C4D4×C3711yescharacteristic
427C2×C4⋊C4C23×C3711yescharacteristic
428C2×C4⋊C4C23×C3711yescharacteristic
429C2×C4⋊C4C23×C3711yescharacteristic
430C2×C4⋊C4C23×C3711yescharacteristic
431C2×C4⋊C4C23×C3711yescharacteristic
432C2×C4⋊C4C23×C3711yescharacteristic
433C2×C22⋊C4—21no—
434C2×C22⋊C4—21no—
435C2×C22⋊C4—21no—
436C2×C22⋊C4—21no—
437C2×C22⋊C4—21no—
438C2×C22⋊C4—21no—
439C2×C22⋊C4—21no—
440C2×C22⋊C4—21no—
441C2×C22⋊C4D4×C3711yescharacteristic
442C2×C22⋊C4D4×C3711yescharacteristic
443C2×C42C23×C3711yescharacteristic
444C2×C42C23×C3711yescharacteristic
445#107—41no—
446#107—41no—
447#106—41no—
448#106—41no—
449C4⋊C8—22no—
450C4⋊C8—22no—
451#103—22no—
452#103—22no—
453#103—41no—
454#103—41no—
455#102—22no—
456#102—22no—
457#102—41no—
458#102—41no—
459C22⋊C8—22no—
460C22⋊C8—22no—
461#97D4×C3714yescomplemented
462C4×C8—22no—
463#95—21no—
464#95—21no—
465#95—21no—
466#95—21no—
467#95—21no—
468#95—21no—
469#95—21no—
470#95—21no—
471C24—21no—
472C24C2×D4×C3711yescharacteristic
473C2×Q8—21no—
474C2×Q8—21no—
475C2×Q8—21no—
476C2×Q8—21no—
477C2×Q8—21no—
478C2×Q8—21no—
479C2×Q8—42no—
480C2×Q8—81no—
481C2×Q8—81no—
482C2×D4—21no—
483C2×D4—21no—
484C2×D4—21no—
485C2×D4—21no—
486C2×D4—21no—
487C2×D4—21no—
488C2×D4—42no—
489C2×D4—81no—
490C2×D4—81no—
491C22×C4—21no—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—21no—
495C22×C4—21no—
496C22×C4—21no—
497C22×C4—21no—
498C22×C4—21no—
499C22×C4—21no—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4C2×D4×C3711yescharacteristic
505C22×C4C2×D4×C3711yescharacteristic
506C22×C4C2×D4×C3711yescharacteristic
507C22×C4C2×D4×C3711yescharacteristic
508C22×C4C2×D4×C3711yescharacteristic
509C22×C4C24×C3711yescharacteristic
510C2×C8—21no—
511C2×C8—21no—
512C2×C8—21no—
513C2×C8—21no—
514C2×C8—21no—
515C2×C8—21no—
516C2×C8—21no—
517C2×C8—21no—
518C2×C8—21no—
519C2×C8—21no—
520C2×C8C2×D4×C3712yes—
521C2×C8C2×D4×C3712yes—
522C4⋊C4—22no—
523C4⋊C4—22no—
524C4⋊C4—21no—
525C4⋊C4—21no—
526C4⋊C4—21no—
527C4⋊C4—21no—
528C4⋊C4—21no—
529C4⋊C4—21no—
530C4⋊C4—21no—
531C4⋊C4—21no—
532C4⋊C4—21no—
533C4⋊C4—21no—
534C4⋊C4—21no—
535C4⋊C4—21no—
536C4⋊C4—42no—
537C4⋊C4—42no—
538C4⋊C4—81no—
539C4⋊C4—81no—
540C4⋊C4—81no—
541C4⋊C4—81no—
542C22⋊C4—22no—
543C22⋊C4—22no—
544C22⋊C4—42no—
545C22⋊C4—42no—
546C22⋊C4—42no—
547C22⋊C4—42no—
548C22⋊C4—81no—
549C22⋊C4—81no—
550C22⋊C4—81no—
551C22⋊C4—81no—
552C42—21no—
553C42—21no—
554C42C2×D4×C3712yes—
555C42#41×C3712yes—
556C23—21no—
557C23—21no—
558C23—21no—
559C23—21no—
560C23—21no—
561C23—21no—
562C23—21no—
563C23—41no—
564C23—41no—
565C23—41no—
566C23—41no—
567C23—41no—
568C23—41no—
569C23—41no—
570C23C22×D4×C3711yescharacteristic
571Q8—41no—
572Q8—41no—
573Q8—41no—
574Q8—41no—
575Q8—84no—
576D4—41no—
577D4—41no—
578D4—41no—
579D4—41no—
580D4—84no—
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—21no—
593C2×C4—21no—
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—41no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4#121×C3712yes—
620C2×C4#121×C3712yes—
621C2×C4C22×D4×C3711yescharacteristic
622C2×C4C2×#41×C3711yescharacteristic
623C2×C4H(5,𝔽2)×C3711yescharacteristic
624C2×C4H(5,𝔽2)×C3711yescharacteristic
625C2×C42−1+4×C3711yescharacteristic
626C2×C42−1+4×C3711yescharacteristic
627C8—22no—
628C8—22no—
629C8—41no—
630C8—41no—
631C22—41no—
632C22—41no—
633C22—41no—
634C22—41no—
635C22—41no—
636C22—41no—
637C22—41no—
638C22—81no—
639C22—81no—
640C22—81no—
641C22—81no—
642C22—81no—
643C22—81no—
644C22—81no—
645C22C2×#121×C3711yescharacteristic
646C22C37×#53511yescharacteristic
647C22C37×#53611yescharacteristic
648C22C37×#57611yescharacteristic
649C22C37×#57711yescharacteristic
650C22C37×#57711yescharacteristic
651C22C37×#57811yescharacteristic
652C4—22no—
653C4—22no—
654C4—41no—
655C4—41no—
656C4—41no—
657C4—81no—
658C4—81no—
659C4—81no—
660C4—81no—
661C4—81no—
662C4—81no—
663C4—81no—
664C4C37×#53711yescharacteristic
665C4C37×#53711yescharacteristic
666C4C37×#54211yescharacteristic
667C4C37×#54211yescharacteristic
668C2—81no—
669C2—161no—
670C2C37×#262011yescharacteristic
671C2C37×#306211yescharacteristic
672C2C37×#306311yescharacteristic
673C2C37×#322411yescharacteristic
674C2C37×#322511yescharacteristic
675C2C37×#324311yescharacteristic
676C2C37×#324411yescharacteristic
subgroupG/H
center, socleC23×C37C22×D4
commutator, Frattini, cosocleC22×C4C24×C37
prime radicalC2×#121×C37C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C37 ◁ C2×#117×C37 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×C37×#489C2semidirect
2. C2×C37×#433C2semidirect
3. C37×#2628C2semidirect
5. C37×#2068C2semidirect
6. C37×#2067C2semidirect
7. C37×#2066C2semidirect
8. C37×#2065C2semidirect
9. C37×#2036C2semidirect
10. C37×#2035C2semidirect
13. C37×#1990C2semidirect
14. C37×#1958C2semidirect
15. C37×#1847C2semidirect
122. #97×C37D4semidirect
292. #29857C37direct (N × H)
330. C2×#489C2×C37semidirect
331. C2×#433C2×C37semidirect
332. #2628C2×C37semidirect
334. #2068C2×C37semidirect
335. #2067C2×C37semidirect
336. #2066C2×C37semidirect
337. #2065C2×C37semidirect
338. #2036C2×C37semidirect
339. #2035C2×C37semidirect
342. #1990C2×C37semidirect
343. #1958C2×C37semidirect
344. #1847C2×C37semidirect
399. C37#29857direct (N × H)
461. #97D4×C37semidirect

Maximal subgroups

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

subgroupindex
C2×C37×#4892
C2×C37×#4332
C37×#26282
C37×#26202
C37×#20682
C37×#20672
C37×#20662
C37×#20652
C37×#20362
C37×#20352
C37×#20342
C37×#20332
C37×#19902
C37×#19582
C37×#18472
#2985737