Finite Group Databasebeta

← C37×#24262 #22645515

Subgroups — C37×#24262 #22645515

Order 9472.

1654 conjugacy classes of subgroups.

The subgroup lattice has 694 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C37×#3496C211yesmaximal, characteristic, complemented
2C2×C37×B(4,𝔽2)C212yesmaximal, complemented
3C37×#2617C212yesmaximal, complemented
4C37×#2321C211yesmaximal, characteristic, complemented
5C37×#2044C212yesmaximal, complemented
6C37×#2021C212yesmaximal, complemented
7C37×#1964C212yesmaximal, complemented
8C37×#1799C211yesmaximal, characteristic, complemented
9C37×#1790C212yesmaximal, complemented
10C2×H(5,𝔽2)×C37C2212yes—
11C37×#547—22no—
12C37×#546—24no—
13D42×C37—22no—
14C37×#537—21no—
15C37×#534—21no—
16C37×#534C2212yes—
17C37×#532—21no—
18C2×#121×C37—21no—
19C2×#121×C37C2212yes—
20C2×#120×C37C2211yescharacteristic
21C2×#120×C37C2214yescomplemented
22C2×C4×D4×C37C2211yescharacteristic
23C22×C22⋊C4×C37C2211yescharacteristic, complemented
24C37×B(4,𝔽2)—28no—
25C2×#99×C37C2212yes—
26C2×#99×C37C2214yescomplemented
27C2×#99×C37C2214yescomplemented
28C37×#397—22no—
29C37×#394—24no—
30C37×#392—22no—
31C37×#390—21no—
32C37×#388—21no—
33C37×#388—21no—
34C37×#386—21no—
35C37×#386C2211yescharacteristic
36C37×#386C2214yescomplemented
37C37×#385C2211yescharacteristic, complemented
38C37×#380C2212yescomplemented
39C37×#379C2211yescharacteristic, complemented
40C4×C22⋊C4×C37C2211yescharacteristic, complemented
41C37×#342C2212yescomplemented
42C25×C37C2311yescharacteristic
43H(5,𝔽2)×C37—24no—
44H(5,𝔽2)×C37—24no—
45H(5,𝔽2)×C37—44no—
46C2×#41×C37—22no—
47C2×#41×C37—24no—
48C22×D4×C37—22no—
49C22×D4×C37—24no—
50C22×D4×C37—21no—
51C22×D4×C37—21no—
52C22×D4×C37—24no—
53C22×D4×C37D412yescomplemented
54C22×D4×C37C2314yes—
55C22×D4×C37C2311yescharacteristic
56C23×C4×C37D411yescharacteristic, complemented
57C23×C4×C37C2311yescharacteristic
58C23×C4×C37C2311yescharacteristic
59C4⋊Q8×C37—21no—
60#127×C37—21no—
61#124×C37—22no—
62#123×C37—24no—
63#123×C37—24no—
64C22⋊Q8×C37—24no—
65#121×C37—22no—
66#121×C37—22no—
67#121×C37—24no—
68#121×C37—22no—
69#121×C37—22no—
70#121×C37—22no—
71#121×C37—22no—
72#121×C37—22no—
73#121×C37—22no—
74#120×C37—24no—
75#120×C37—24no—
76#120×C37—22no—
77#120×C37—28no—
78#120×C37—44no—
79#120×C37D414yescomplemented
80C4×D4×C37—22no—
81C4×D4×C37—22no—
82C4×D4×C37—22no—
83C4×D4×C37—22no—
84C2×C4⋊C4×C37—21no—
85C2×C4⋊C4×C37—22no—
86C2×C4⋊C4×C37—21no—
87C2×C4⋊C4×C37D412yescomplemented
88C2×C4⋊C4×C37D411yescharacteristic, complemented
89C2×C22⋊C4×C37—22no—
90C2×C22⋊C4×C37—21no—
91C2×C22⋊C4×C37—24no—
92C2×C22⋊C4×C37—21no—
93C2×C22⋊C4×C37—21no—
94C2×C22⋊C4×C37—22no—
95C2×C22⋊C4×C37—22no—
96C2×C22⋊C4×C37—21no—
97C2×C22⋊C4×C37—24no—
98C2×C22⋊C4×C37—21no—
99C2×C22⋊C4×C37—21no—
100C2×C22⋊C4×C37D414yescomplemented
101C2×C22⋊C4×C37D411yescharacteristic, complemented
102C2×C22⋊C4×C37C2314yes—
103C2×C22⋊C4×C37C2311yescharacteristic
104C2×C22⋊C4×C37C2311yescharacteristic
105C2×C22⋊C4×C37C2311yescharacteristic
106C2×C42×C37—21no—
107C2×C42×C37D411yescharacteristic, complemented
108#99×C37—24no—
109#99×C37—28no—
110#99×C37—44no—
111#95×C37—21no—
112#95×C37—22no—
113#95×C37—21no—
114#95×C37—21no—
115#95×C37—24no—
116C24×C37—22no—
117C24×C37—21no—
118C24×C37—22no—
119C24×C37—21no—
120C24×C37—22no—
121C24×C37—81no—
122C24×C37—81no—
123C24×C37C2×D414yes—
124C24×C37C2×D411yescharacteristic
125C24×C37C2×D412yescomplemented
126C24×C37C2411yescharacteristic
127#41×C37—48no—
128#41×C37—48no—
129#41×C37—44no—
130#41×C37—44no—
131C2×Q8×C37—22no—
132C2×D4×C37—22no—
133C2×D4×C37—22no—
134C2×D4×C37—24no—
135C2×D4×C37—22no—
136C2×D4×C37—24no—
137C2×D4×C37—24no—
138C2×D4×C37—24no—
139C2×D4×C37—24no—
140C2×D4×C37—24no—
141C2×D4×C37—24no—
142C2×D4×C37—22no—
143C2×D4×C37—22no—
144C2×D4×C37—24no—
145C2×D4×C37—22no—
146C2×D4×C37—22no—
147C2×D4×C37—48no—
148C2×D4×C37—48no—
149C2×D4×C37—44no—
150C2×D4×C37—44no—
151C2×D4×C37—48no—
152C2×D4×C37—82no—
153C2×D4×C37—82no—
154C2×D4×C37—81no—
155C2×D4×C37—81no—
156C2×D4×C37—84no—
157C2×D4×C37—84no—
158C2×D4×C37C2×D412yes—
159C2×D4×C37#4112yes—
160C22×C4×C37—22no—
161C22×C4×C37—24no—
162C22×C4×C37—21no—
163C22×C4×C37—21no—
164C22×C4×C37—21no—
165C22×C4×C37—21no—
166C22×C4×C37—22no—
167C22×C4×C37—21no—
168C22×C4×C37—24no—
169C22×C4×C37—81no—
170C22×C4×C37—81no—
171C22×C4×C37—81no—
172C22×C4×C37C2×D414yes—
173C22×C4×C37C2×D411yescharacteristic
174C22×C4×C37C2×D411yescharacteristic
175C22×C4×C37C2×D411yescharacteristic
176C22×C4×C37C2×D411yescharacteristic
177C22×C4×C37C2×D412yes—
178C22×C4×C37C2×D411yescharacteristic
179C22×C4×C37C2×D412yes—
180C4⋊C4×C37—22no—
181C4⋊C4×C37—22no—
182C4⋊C4×C37—22no—
183C4⋊C4×C37—22no—
184C4⋊C4×C37—22no—
185C4⋊C4×C37—82no—
186C4⋊C4×C37—81no—
187C22⋊C4×C37—24no—
188C22⋊C4×C37—24no—
189C22⋊C4×C37—22no—
190C22⋊C4×C37—21no—
191C22⋊C4×C37—24no—
192C22⋊C4×C37—22no—
193C22⋊C4×C37—24no—
194C22⋊C4×C37—24no—
195C22⋊C4×C37—24no—
196C22⋊C4×C37—22no—
197C22⋊C4×C37—24no—
198C22⋊C4×C37—48no—
199C22⋊C4×C37—41no—
200C22⋊C4×C37—41no—
201C22⋊C4×C37—42no—
202C22⋊C4×C37—81no—
203C22⋊C4×C37—81no—
204C22⋊C4×C37—81no—
205C22⋊C4×C37—84no—
206C22⋊C4×C37C2×D412yescomplemented
207C42×C37—21no—
208C42×C37—21no—
209C42×C37—81no—
210C23×C37—21no—
211C23×C37—21no—
212C23×C37—24no—
213C23×C37—22no—
214C23×C37—24no—
215C23×C37—24no—
216C23×C37—24no—
217C23×C37—41no—
218C23×C37—41no—
219C23×C37—41no—
220C23×C37—41no—
221C23×C37—41no—
222C23×C37—41no—
223C23×C37—41no—
224C23×C37—44no—
225C23×C37—41no—
226C23×C37—44no—
227C23×C37—44no—
228C23×C37—44no—
229C23×C37—44no—
230C23×C37—41no—
231C23×C37—41no—
232C23×C37—42no—
233C23×C37—82no—
234C23×C37—82no—
235C23×C37—84no—
236C23×C37—82no—
237C23×C37—82no—
238C23×C37#12112yes—
239C23×C37C22×D411yescharacteristic
240C23×C37C22×D412yes—
241C23×C37C22×D411yescharacteristic
242C23×C37C2×#4111yescharacteristic
243C23×C37H(5,𝔽2)12yes—
244Q8×C37—44no—
245D4×C37—24no—
246D4×C37—24no—
247D4×C37—44no—
248D4×C37—44no—
249D4×C37—48no—
250D4×C37—44no—
251D4×C37—44no—
252D4×C37—44no—
253D4×C37—44no—
254D4×C37—82no—
255D4×C37—82no—
256D4×C37—84no—
257D4×C37—82no—
258D4×C37—816no—
259C2×C4×C37—21no—
260C2×C4×C37—21no—
261C2×C4×C37—21no—
262C2×C4×C37—21no—
263C2×C4×C37—24no—
264C2×C4×C37—22no—
265C2×C4×C37—24no—
266C2×C4×C37—24no—
267C2×C4×C37—41no—
268C2×C4×C37—42no—
269C2×C4×C37—41no—
270C2×C4×C37—42no—
271C2×C4×C37—42no—
272C2×C4×C37—48no—
273C2×C4×C37—41no—
274C2×C4×C37—41no—
275C2×C4×C37—44no—
276C2×C4×C37—41no—
277C2×C4×C37—41no—
278C2×C4×C37—41no—
279C2×C4×C37—41no—
280C2×C4×C37—41no—
281C2×C4×C37—44no—
282C2×C4×C37—44no—
283C2×C4×C37—41no—
284C2×C4×C37—44no—
285C2×C4×C37—41no—
286C2×C4×C37—41no—
287C2×C4×C37—44no—
288C2×C4×C37—81no—
289C2×C4×C37#12011yescharacteristic
290C2×C4×C37#12011yescharacteristic
291C2×C4×C37#12012yes—
292C2×C4×C37#12112yes—
293#24262C3711yesmaximal, characteristic, direct product factor, Sylow
294C22×C37—21no—
295C22×C37—22no—
296C22×C37—21no—
297C22×C37—22no—
298C22×C37—22no—
299C22×C37—41no—
300C22×C37—41no—
301C22×C37—42no—
302C22×C37—42no—
303C22×C37—42no—
304C22×C37—48no—
305C22×C37—42no—
306C22×C37—41no—
307C22×C37—41no—
308C22×C37—44no—
309C22×C37—42no—
310C22×C37—44no—
311C22×C37—44no—
312C22×C37—81no—
313C22×C37—84no—
314C22×C37—84no—
315C22×C37—81no—
316C22×C37—81no—
317C22×C37—84no—
318C22×C37—81no—
319C22×C37—81no—
320C22×C37—164no—
321C22×C37C2×#12011yescharacteristic
322C22×C37C2×#12111yescharacteristic
323C22×C37#53511yescharacteristic
324C22×C37D4212yes—
325C22×C37#54612yes—
326C4×C37—22no—
327C4×C37—21no—
328C4×C37—21no—
329C4×C37—22no—
330C4×C37—42no—
331C4×C37—44no—
332C4×C37—41no—
333C4×C37—41no—
334C4×C37—81no—
335C4×C37—84no—
336C4×C37—81no—
337#3496C2×C3711yescharacteristic, complemented
338C2×B(4,𝔽2)C2×C3712yescomplemented
339#2617C2×C3712yescomplemented
340#2321C2×C3711yescharacteristic, complemented
341#2044C2×C3712yescomplemented
342#2021C2×C3712yescomplemented
343#1964C2×C3712yescomplemented
344#1799C2×C3711yescharacteristic, complemented
345#1790C2×C3712yescomplemented
346C2×C37—21no—
347C2×C37—22no—
348C2×C37—21no—
349C2×C37—22no—
350C2×C37—42no—
351C2×C37—82no—
352C2×C37—84no—
353C2×C37#240811yescharacteristic
354C2×C37#302611yescharacteristic
355C2×C37#302711yescharacteristic
356C2×H(5,𝔽2)C22×C3712yes—
357#547—22no—
358#546—24no—
359D42—22no—
360#537—21no—
361#534—21no—
362#534C22×C3712yes—
363#532—21no—
364C2×#121—21no—
365C2×#121C22×C3712yes—
366C2×#120C22×C3711yescharacteristic
367C2×#120C22×C3714yescomplemented
368C2×C4×D4C22×C3711yescharacteristic
369C22×C22⋊C4C22×C3711yescharacteristic, complemented
370B(4,𝔽2)—28no—
371C2×#99C22×C3712yes—
372C2×#99C22×C3714yescomplemented
373C2×#99C22×C3714yescomplemented
374#397—22no—
375#394—24no—
376#392—22no—
377#390—21no—
378#388—21no—
379#388—21no—
380#386—21no—
381#386C22×C3711yescharacteristic
382#386C22×C3714yescomplemented
383#385C22×C3711yescharacteristic, complemented
384#380C22×C3712yescomplemented
385#379C22×C3711yescharacteristic, complemented
386C4×C22⋊C4C22×C3711yescharacteristic, complemented
387#342C22×C3712yescomplemented
388C37#2426211yescharacteristic, direct product factor, Sylow
389C25C23×C3711yescharacteristic
390H(5,𝔽2)—24no—
391H(5,𝔽2)—24no—
392H(5,𝔽2)—44no—
393C2×#41—22no—
394C2×#41—24no—
395C22×D4—22no—
396C22×D4—24no—
397C22×D4—21no—
398C22×D4—21no—
399C22×D4—24no—
400C22×D4D4×C3712yescomplemented
401C22×D4C23×C3714yes—
402C22×D4C23×C3711yescharacteristic
403C23×C4D4×C3711yescharacteristic, complemented
404C23×C4C23×C3711yescharacteristic
405C23×C4C23×C3711yescharacteristic
406C4⋊Q8—21no—
407#127—21no—
408#124—22no—
409#123—24no—
410#123—24no—
411C22⋊Q8—24no—
412#121—22no—
413#121—22no—
414#121—24no—
415#121—22no—
416#121—22no—
417#121—22no—
418#121—22no—
419#121—22no—
420#121—22no—
421#120—24no—
422#120—24no—
423#120—22no—
424#120—28no—
425#120—44no—
426#120D4×C3714yescomplemented
427C4×D4—22no—
428C4×D4—22no—
429C4×D4—22no—
430C4×D4—22no—
431C2×C4⋊C4—21no—
432C2×C4⋊C4—22no—
433C2×C4⋊C4—21no—
434C2×C4⋊C4D4×C3711yescharacteristic, complemented
435C2×C4⋊C4D4×C3712yescomplemented
436C2×C22⋊C4—22no—
437C2×C22⋊C4—21no—
438C2×C22⋊C4—21no—
439C2×C22⋊C4—21no—
440C2×C22⋊C4—22no—
441C2×C22⋊C4—22no—
442C2×C22⋊C4—24no—
443C2×C22⋊C4—21no—
444C2×C22⋊C4—24no—
445C2×C22⋊C4—21no—
446C2×C22⋊C4—21no—
447C2×C22⋊C4D4×C3711yescharacteristic, complemented
448C2×C22⋊C4D4×C3714yescomplemented
449C2×C22⋊C4C23×C3714yes—
450C2×C22⋊C4C23×C3711yescharacteristic
451C2×C22⋊C4C23×C3711yescharacteristic
452C2×C22⋊C4C23×C3711yescharacteristic
453C2×C42—21no—
454C2×C42D4×C3711yescharacteristic, complemented
455#99—24no—
456#99—28no—
457#99—44no—
458#95—21no—
459#95—22no—
460#95—21no—
461#95—21no—
462#95—24no—
463C24—22no—
464C24—21no—
465C24—22no—
466C24—21no—
467C24—22no—
468C24—81no—
469C24—81no—
470C24C2×D4×C3714yes—
471C24C2×D4×C3711yescharacteristic
472C24C2×D4×C3712yescomplemented
473C24C24×C3711yescharacteristic
474#41—48no—
475#41—48no—
476#41—44no—
477#41—44no—
478C2×Q8—22no—
479C2×D4—22no—
480C2×D4—22no—
481C2×D4—24no—
482C2×D4—22no—
483C2×D4—24no—
484C2×D4—24no—
485C2×D4—24no—
486C2×D4—24no—
487C2×D4—24no—
488C2×D4—24no—
489C2×D4—22no—
490C2×D4—22no—
491C2×D4—24no—
492C2×D4—22no—
493C2×D4—22no—
494C2×D4—48no—
495C2×D4—48no—
496C2×D4—44no—
497C2×D4—44no—
498C2×D4—48no—
499C2×D4—82no—
500C2×D4—82no—
501C2×D4—81no—
502C2×D4—81no—
503C2×D4—84no—
504C2×D4—84no—
505C2×D4C2×D4×C3712yes—
506C2×D4#41×C3712yes—
507C22×C4—22no—
508C22×C4—24no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—22no—
514C22×C4—21no—
515C22×C4—24no—
516C22×C4—81no—
517C22×C4—81no—
518C22×C4—81no—
519C22×C4C2×D4×C3714yes—
520C22×C4C2×D4×C3711yescharacteristic
521C22×C4C2×D4×C3711yescharacteristic
522C22×C4C2×D4×C3711yescharacteristic
523C22×C4C2×D4×C3711yescharacteristic
524C22×C4C2×D4×C3712yes—
525C22×C4C2×D4×C3711yescharacteristic
526C22×C4C2×D4×C3712yes—
527C4⋊C4—22no—
528C4⋊C4—22no—
529C4⋊C4—22no—
530C4⋊C4—22no—
531C4⋊C4—22no—
532C4⋊C4—82no—
533C4⋊C4—81no—
534C22⋊C4—24no—
535C22⋊C4—24no—
536C22⋊C4—22no—
537C22⋊C4—21no—
538C22⋊C4—24no—
539C22⋊C4—22no—
540C22⋊C4—24no—
541C22⋊C4—24no—
542C22⋊C4—24no—
543C22⋊C4—22no—
544C22⋊C4—24no—
545C22⋊C4—48no—
546C22⋊C4—41no—
547C22⋊C4—41no—
548C22⋊C4—42no—
549C22⋊C4—81no—
550C22⋊C4—81no—
551C22⋊C4—81no—
552C22⋊C4—84no—
553C22⋊C4C2×D4×C3712yescomplemented
554C42—21no—
555C42—21no—
556C42—81no—
557C23—21no—
558C23—21no—
559C23—24no—
560C23—22no—
561C23—24no—
562C23—24no—
563C23—24no—
564C23—41no—
565C23—41no—
566C23—41no—
567C23—41no—
568C23—41no—
569C23—41no—
570C23—41no—
571C23—44no—
572C23—41no—
573C23—44no—
574C23—44no—
575C23—44no—
576C23—44no—
577C23—41no—
578C23—41no—
579C23—42no—
580C23—82no—
581C23—82no—
582C23—84no—
583C23—82no—
584C23—82no—
585C23#121×C3712yes—
586C23C22×D4×C3711yescharacteristic
587C23C22×D4×C3712yes—
588C23C22×D4×C3711yescharacteristic
589C23C2×#41×C3711yescharacteristic
590C23H(5,𝔽2)×C3712yes—
591Q8—44no—
592D4—24no—
593D4—24no—
594D4—44no—
595D4—44no—
596D4—48no—
597D4—44no—
598D4—44no—
599D4—44no—
600D4—44no—
601D4—82no—
602D4—84no—
603D4—82no—
604D4—82no—
605D4—816no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—24no—
611C2×C4—22no—
612C2×C4—24no—
613C2×C4—24no—
614C2×C4—41no—
615C2×C4—42no—
616C2×C4—41no—
617C2×C4—42no—
618C2×C4—42no—
619C2×C4—48no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—44no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—44no—
629C2×C4—44no—
630C2×C4—41no—
631C2×C4—44no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—44no—
635C2×C4—81no—
636C2×C4#120×C3711yescharacteristic
637C2×C4#120×C3711yescharacteristic
638C2×C4#120×C3712yes—
639C2×C4#121×C3712yes—
640C22—21no—
641C22—22no—
642C22—21no—
643C22—22no—
644C22—22no—
645C22—41no—
646C22—41no—
647C22—42no—
648C22—42no—
649C22—42no—
650C22—48no—
651C22—42no—
652C22—41no—
653C22—41no—
654C22—44no—
655C22—42no—
656C22—44no—
657C22—44no—
658C22—81no—
659C22—84no—
660C22—84no—
661C22—81no—
662C22—81no—
663C22—84no—
664C22—81no—
665C22—81no—
666C22—164no—
667C22C2×#120×C3711yescharacteristic
668C22C2×#121×C3711yescharacteristic
669C22C37×#53511yescharacteristic
670C22D42×C3712yes—
671C22C37×#54612yes—
672C4—22no—
673C4—21no—
674C4—21no—
675C4—22no—
676C4—42no—
677C4—44no—
678C4—41no—
679C4—41no—
680C4—84no—
681C4—81no—
682C4—81no—
683C2—21no—
684C2—22no—
685C2—21no—
686C2—22no—
687C2—42no—
688C2—82no—
689C2—84no—
690C2C37×#240811yescharacteristic
691C2C37×#302611yescharacteristic
692C2C37×#302711yescharacteristic
subgroupG/H
center, socleC22×C37C2×#120
commutator, Frattini, cosocleC24C24×C37
LCSG ▷ C24 ▷ C2 ▷ C1
UCSC1 ◁ C22×C37 ◁ C23×C4×C37 ◁ G

Complements

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

NH ≅ G/Ntype
1. C37×#3496C2semidirect
2. C2×C37×B(4,𝔽2)C2semidirect
3. C37×#2617C2semidirect
4. C37×#2321C2semidirect
5. C37×#2044C2semidirect
6. C37×#2021C2semidirect
7. C37×#1964C2semidirect
8. C37×#1799C2semidirect
9. C37×#1790C2semidirect
21. C2×#120×C37C22semidirect
23. C22×C22⋊C4×C37C22semidirect
26. C2×#99×C37C22semidirect
27. C2×#99×C37C22semidirect
36. C37×#386C22semidirect
37. C37×#385C22semidirect
38. C37×#380C22semidirect
39. C37×#379C22semidirect
40. C4×C22⋊C4×C37C22semidirect
41. C37×#342C22semidirect
53. C22×D4×C37D4semidirect
56. C23×C4×C37D4semidirect
79. #120×C37D4semidirect
87. C2×C4⋊C4×C37D4semidirect
88. C2×C4⋊C4×C37D4semidirect
100. C2×C22⋊C4×C37D4semidirect
101. C2×C22⋊C4×C37D4semidirect
107. C2×C42×C37D4semidirect
125. C24×C37C2×D4semidirect
206. C22⋊C4×C37C2×D4semidirect
293. #24262C37direct (N × H)
337. #3496C2×C37semidirect
338. C2×B(4,𝔽2)C2×C37semidirect
339. #2617C2×C37semidirect
340. #2321C2×C37semidirect
341. #2044C2×C37semidirect
342. #2021C2×C37semidirect
343. #1964C2×C37semidirect
344. #1799C2×C37semidirect
345. #1790C2×C37semidirect
367. C2×#120C22×C37semidirect
369. C22×C22⋊C4C22×C37semidirect
372. C2×#99C22×C37semidirect
373. C2×#99C22×C37semidirect
382. #386C22×C37semidirect
383. #385C22×C37semidirect
384. #380C22×C37semidirect
385. #379C22×C37semidirect
386. C4×C22⋊C4C22×C37semidirect
387. #342C22×C37semidirect
388. C37#24262direct (N × H)
400. C22×D4D4×C37semidirect
403. C23×C4D4×C37semidirect
426. #120D4×C37semidirect
434. C2×C4⋊C4D4×C37semidirect
435. C2×C4⋊C4D4×C37semidirect
447. C2×C22⋊C4D4×C37semidirect
448. C2×C22⋊C4D4×C37semidirect
454. C2×C42D4×C37semidirect
472. C24C2×D4×C37semidirect
553. C22⋊C4C2×D4×C37semidirect

Maximal subgroups

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

subgroupindex
C37×#34962
C2×C37×B(4,𝔽2)2
C37×#26172
C37×#23212
C37×#20442
C37×#20212
C37×#19642
C37×#17992
C37×#17902
#2426237