Finite Group Databasebeta

← C37×#19095 #22640348

Subgroups — C37×#19095 #22640348

Order 9472.

834 conjugacy classes of subgroups.

The subgroup lattice has 732 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C37×#3568C211yesmaximal, characteristic
2C37×#3239C211yesmaximal, characteristic, complemented
3C37×#3238C211yesmaximal, characteristic, complemented
4C37×#3218C211yesmaximal, characteristic, complemented
5C37×#1664C212yesmaximal, complemented
6C37×#1664C212yesmaximal, complemented
7C37×#1660C212yesmaximal, complemented
8C37×#1659C212yesmaximal, complemented
9C37×#1535C211yesmaximal, characteristic, complemented
10C37×#1535C211yesmaximal, characteristic, complemented
11C37×#1535C211yesmaximal, characteristic, complemented
12C37×#563C2211yescharacteristic
13C37×#563C2211yescharacteristic
14C37×#563C2211yescharacteristic
15C37×H(3,𝔽4)C2211yescharacteristic
16C37×#556—21no—
17C37×#556—21no—
18C37×#556—21no—
19C37×#551—21no—
20C37×#551—21no—
21C37×#551—21no—
22C37×#542—21no—
23C37×#542—21no—
24C37×#542—21no—
25C37×#538—21no—
26C37×#538—21no—
27C37×#538—21no—
28C2×C4⋊Q8×C37C2211yescharacteristic, complemented
29C37×#529C2211yescharacteristic
30C37×#529C2211yescharacteristic
31C37×#529C2211yescharacteristic
32C37×#501C2212yescomplemented
33C37×#501C2212yescomplemented
34C37×#497C2212yes—
35C37×#491C2212yescomplemented
36C37×#489C2212yes—
37C37×#489C2212yes—
38C37×#484—21no—
39C37×#483—21no—
40C37×#481—21no—
41C37×#480—21no—
42C37×#477—21no—
43C37×#476—21no—
44C37×#475—21no—
45C37×#474—21no—
46C37×#462—21no—
47C37×#461—21no—
48C37×#451—21no—
49C37×#448—21no—
50C37×#432C2211yescharacteristic, complemented
51C37×#432C2211yescharacteristic, complemented
52C37×#432C2211yescharacteristic, complemented
53C37×#330C2212yescomplemented
54C37×#330C2212yescomplemented
55C37×#330C2212yescomplemented
56C37×#329C2212yes—
57C37×#329C2212yes—
58C37×#329C2212yes—
59C22×Q8×C37—21no—
60C2×Q16×C37—22no—
61C2×SD16×C37—22no—
62C4⋊Q8×C37—21no—
63C4⋊Q8×C37—21no—
64C4⋊Q8×C37—21no—
65C4⋊Q8×C37—21no—
66C4⋊Q8×C37—21no—
67C4⋊Q8×C37—21no—
68C4⋊Q8×C37C2312yes—
69#126×C37—21no—
70#126×C37—21no—
71#126×C37—21no—
72#126×C37—21no—
73#126×C37—21no—
74#126×C37—21no—
75#126×C37—21no—
76#126×C37—21no—
77#126×C37—21no—
78#126×C37—21no—
79#126×C37—21no—
80#126×C37—21no—
81#126×C37—21no—
82#125×C37C2311yescharacteristic
83#125×C37C2311yescharacteristic
84#125×C37C2311yescharacteristic
85#124×C37—21no—
86#124×C37—21no—
87#124×C37—21no—
88#124×C37—21no—
89#124×C37—21no—
90#124×C37—21no—
91#124×C37—21no—
92#124×C37—21no—
93#124×C37—21no—
94#124×C37C2311yescharacteristic
95#124×C37C2311yescharacteristic
96#124×C37C2311yescharacteristic
97#123×C37—21no—
98#123×C37—21no—
99#123×C37—21no—
100#123×C37—21no—
101#123×C37—21no—
102#123×C37—21no—
103#123×C37—21no—
104#123×C37—21no—
105#123×C37—21no—
106C22⋊Q8×C37—21no—
107C22⋊Q8×C37—21no—
108C22⋊Q8×C37—21no—
109C22⋊Q8×C37—21no—
110C22⋊Q8×C37—21no—
111C22⋊Q8×C37—21no—
112C22⋊Q8×C37—21no—
113C22⋊Q8×C37—21no—
114C22⋊Q8×C37—21no—
115C22⋊Q8×C37D411yescharacteristic
116C22⋊Q8×C37D411yescharacteristic
117C22⋊Q8×C37D411yescharacteristic
118#121×C37—21no—
119#121×C37—21no—
120#121×C37—21no—
121#121×C37D411yescharacteristic
122#121×C37D411yescharacteristic
123#121×C37D411yescharacteristic
124#120×C37—21no—
125#120×C37—21no—
126#120×C37—21no—
127#120×C37—21no—
128C4×Q8×C37—21no—
129C4×Q8×C37—21no—
130C4×Q8×C37—21no—
131C4×Q8×C37D411yescharacteristic
132C4×Q8×C37D411yescharacteristic
133C4×Q8×C37D411yescharacteristic
134C4×D4×C37—21no—
135C4×D4×C37—21no—
136C4×D4×C37—21no—
137C4×D4×C37—21no—
138C4×D4×C37—21no—
139C4×D4×C37—21no—
140C4×D4×C37D411yescharacteristic
141C4×D4×C37D411yescharacteristic
142C4×D4×C37D411yescharacteristic
143#117×C37—21no—
144#117×C37—21no—
145#117×C37—21no—
146#117×C37—21no—
147#117×C37—21no—
148#117×C37—21no—
149C2×C4⋊C4×C37—21no—
150C2×C4⋊C4×C37—21no—
151C2×C22⋊C4×C37—21no—
152C2×C22⋊C4×C37—21no—
153C2×C22⋊C4×C37—21no—
154C2×C42×C37C2311yescharacteristic
155#107×C37—22no—
156#107×C37—22no—
157#106×C37—22no—
158#106×C37—22no—
159C4⋊C8×C37—21no—
160C4⋊C8×C37—21no—
161C4⋊C8×C37—21no—
162#103×C37—22no—
163#103×C37—22no—
164#103×C37—22no—
165#103×C37—22no—
166#102×C37—22no—
167#102×C37—22no—
168C22⋊C8×C37—21no—
169C22⋊C8×C37—21no—
170C22⋊C8×C37—21no—
171#97×C37C2312yes—
172#97×C37C2312yes—
173#97×C37C2312yes—
174C24×C37—21no—
175C2×Q8×C37—21no—
176C2×Q8×C37—21no—
177C2×Q8×C37—21no—
178C2×Q8×C37—22no—
179C2×Q8×C37—41no—
180C2×Q8×C37—82no—
181C2×Q8×C37C2×D411yescharacteristic
182C2×Q8×C37C2×D411yescharacteristic
183C2×Q8×C37C2×D411yescharacteristic
184C2×D4×C37—21no—
185C2×D4×C37—21no—
186C2×D4×C37—21no—
187C2×D4×C37—21no—
188C2×D4×C37—21no—
189C2×D4×C37—21no—
190C2×D4×C37C2×D411yescharacteristic
191C2×D4×C37C2×D411yescharacteristic
192C2×D4×C37C2×D411yescharacteristic
193C22×C4×C37—21no—
194C22×C4×C37—21no—
195C22×C4×C37—21no—
196C22×C4×C37—21no—
197C22×C4×C37—21no—
198C22×C4×C37—21no—
199C22×C4×C37—41no—
200C22×C4×C37C2×D411yescharacteristic
201C22×C4×C37C2×D411yescharacteristic
202C22×C4×C37C2×D411yescharacteristic
203Q16×C37—82no—
204SD16×C37—82no—
205C2×C8×C37—22no—
206C2×C8×C37—22no—
207C2×C8×C37—22no—
208C4⋊C4×C37—21no—
209C4⋊C4×C37—21no—
210C4⋊C4×C37—21no—
211C4⋊C4×C37—21no—
212C4⋊C4×C37—21no—
213C4⋊C4×C37—21no—
214C4⋊C4×C37—21no—
215C4⋊C4×C37—21no—
216C4⋊C4×C37—21no—
217C4⋊C4×C37—21no—
218C4⋊C4×C37—21no—
219C4⋊C4×C37—21no—
220C4⋊C4×C37—21no—
221C4⋊C4×C37—21no—
222C4⋊C4×C37—21no—
223C4⋊C4×C37—21no—
224C4⋊C4×C37—21no—
225C4⋊C4×C37—21no—
226C4⋊C4×C37—22no—
227C4⋊C4×C37—22no—
228C4⋊C4×C37—41no—
229C4⋊C4×C37—41no—
230C4⋊C4×C37C2×D411yescharacteristic
231C4⋊C4×C37C2×D411yescharacteristic
232C4⋊C4×C37C2×D411yescharacteristic
233C4⋊C4×C37C2×D411yescharacteristic
234C4⋊C4×C37C2×D411yescharacteristic
235C4⋊C4×C37C2×D411yescharacteristic
236C22⋊C4×C37—21no—
237C22⋊C4×C37—21no—
238C22⋊C4×C37—21no—
239C22⋊C4×C37—21no—
240C22⋊C4×C37—21no—
241C22⋊C4×C37—21no—
242C22⋊C4×C37—21no—
243C22⋊C4×C37—21no—
244C22⋊C4×C37—21no—
245C22⋊C4×C37—21no—
246C22⋊C4×C37—21no—
247C22⋊C4×C37—21no—
248C22⋊C4×C37—21no—
249C22⋊C4×C37—21no—
250C22⋊C4×C37—21no—
251C22⋊C4×C37—21no—
252C22⋊C4×C37—21no—
253C22⋊C4×C37—21no—
254C22⋊C4×C37—21no—
255C22⋊C4×C37—21no—
256C22⋊C4×C37—21no—
257C22⋊C4×C37—21no—
258C22⋊C4×C37—21no—
259C22⋊C4×C37—21no—
260C22⋊C4×C37—21no—
261C22⋊C4×C37—21no—
262C22⋊C4×C37—21no—
263C42×C37—21no—
264C42×C37—21no—
265C42×C37—21no—
266C42×C37—21no—
267C42×C37—21no—
268C42×C37—21no—
269C42×C37—21no—
270C42×C37C2×D411yescharacteristic
271C42×C37C2×D411yescharacteristic
272C42×C37C2×D411yescharacteristic
273C42×C37C2411yescharacteristic
274C23×C37—21no—
275C23×C37—21no—
276C23×C37—21no—
277C23×C37—81no—
278C23×C37—81no—
279C23×C37—81no—
280C23×C37#12011yescharacteristic
281Q8×C37—41no—
282Q8×C37—41no—
283Q8×C37—41no—
284Q8×C37—42no—
285Q8×C37—42no—
286Q8×C37—82no—
287Q8×C37—81no—
288Q8×C37—81no—
289Q8×C37—81no—
290D4×C37—41no—
291D4×C37—41no—
292D4×C37—41no—
293D4×C37—81no—
294D4×C37—81no—
295D4×C37—81no—
296D4×C37—81no—
297D4×C37—81no—
298D4×C37—81no—
299C2×C4×C37—21no—
300C2×C4×C37—21no—
301C2×C4×C37—21no—
302C2×C4×C37—21no—
303C2×C4×C37—21no—
304C2×C4×C37—21no—
305C2×C4×C37—21no—
306C2×C4×C37—21no—
307C2×C4×C37—21no—
308C2×C4×C37—41no—
309C2×C4×C37—41no—
310C2×C4×C37—41no—
311C2×C4×C37—42no—
312C2×C4×C37—81no—
313C2×C4×C37—81no—
314C2×C4×C37—81no—
315C2×C4×C37—81no—
316C2×C4×C37—81no—
317C2×C4×C37—81no—
318C2×C4×C37—82no—
319C2×C4×C37#12011yescharacteristic
320C2×C4×C37#12011yescharacteristic
321C2×C4×C37#12011yescharacteristic
322C2×C4×C37C22×D411yescharacteristic
323C2×C4×C37C22×D411yescharacteristic
324C2×C4×C37C22×D411yescharacteristic
325C8×C37—42no—
326C8×C37—42no—
327C8×C37—42no—
328#19095C3711yesmaximal, characteristic, direct product factor, Sylow
329C22×C37—21no—
330C22×C37—21no—
331C22×C37—21no—
332C22×C37—41no—
333C22×C37—41no—
334C22×C37—41no—
335C22×C37—41no—
336C22×C37—41no—
337C22×C37—41no—
338C22×C37—41no—
339C22×C37—41no—
340C22×C37—41no—
341C22×C37—162no—
342C22×C37C2×#12011yescharacteristic
343C4×C37—21no—
344C4×C37—21no—
345C4×C37—21no—
346C4×C37—21no—
347C4×C37—21no—
348C4×C37—21no—
349C4×C37—41no—
350C4×C37—41no—
351C4×C37—41no—
352C4×C37—41no—
353C4×C37—41no—
354C4×C37—41no—
355C4×C37—41no—
356C4×C37—41no—
357C4×C37—41no—
358C4×C37—82no—
359#3568C2×C3711yescharacteristic
360#3239C2×C3711yescharacteristic, complemented
361#3238C2×C3711yescharacteristic, complemented
362#3218C2×C3711yescharacteristic, complemented
363#1664C2×C3712yescomplemented
364#1664C2×C3712yescomplemented
365#1660C2×C3712yescomplemented
366#1659C2×C3712yescomplemented
367#1535C2×C3711yescharacteristic, complemented
368#1535C2×C3711yescharacteristic, complemented
369#1535C2×C3711yescharacteristic, complemented
370C2×C37—41no—
371C2×C37—81no—
372C2×C37—81no—
373C2×C37—81no—
374C2×C37#302111yescharacteristic
375C2×C37#302211yescharacteristic
376C2×C37#302211yescharacteristic
377#563C22×C3711yescharacteristic
378#563C22×C3711yescharacteristic
379#563C22×C3711yescharacteristic
380H(3,𝔽4)C22×C3711yescharacteristic
381#556—21no—
382#556—21no—
383#556—21no—
384#551—21no—
385#551—21no—
386#551—21no—
387#542—21no—
388#542—21no—
389#542—21no—
390#538—21no—
391#538—21no—
392#538—21no—
393C2×C4⋊Q8C22×C3711yescharacteristic, complemented
394#529C22×C3711yescharacteristic
395#529C22×C3711yescharacteristic
396#529C22×C3711yescharacteristic
397#501C22×C3712yescomplemented
398#501C22×C3712yescomplemented
399#497C22×C3712yes—
400#491C22×C3712yescomplemented
401#489C22×C3712yes—
402#489C22×C3712yes—
403#484—21no—
404#483—21no—
405#481—21no—
406#480—21no—
407#477—21no—
408#476—21no—
409#475—21no—
410#474—21no—
411#462—21no—
412#461—21no—
413#451—21no—
414#448—21no—
415#432C22×C3711yescharacteristic, complemented
416#432C22×C3711yescharacteristic, complemented
417#432C22×C3711yescharacteristic, complemented
418#330C22×C3712yescomplemented
419#330C22×C3712yescomplemented
420#330C22×C3712yescomplemented
421#329C22×C3712yes—
422#329C22×C3712yes—
423#329C22×C3712yes—
424C37#1909511yescharacteristic, direct product factor, Sylow
425C22×Q8—21no—
426C2×Q16—22no—
427C2×SD16—22no—
428C4⋊Q8—21no—
429C4⋊Q8—21no—
430C4⋊Q8—21no—
431C4⋊Q8—21no—
432C4⋊Q8—21no—
433C4⋊Q8—21no—
434C4⋊Q8C23×C3712yes—
435#126—21no—
436#126—21no—
437#126—21no—
438#126—21no—
439#126—21no—
440#126—21no—
441#126—21no—
442#126—21no—
443#126—21no—
444#126—21no—
445#126—21no—
446#126—21no—
447#126—21no—
448#125C23×C3711yescharacteristic
449#125C23×C3711yescharacteristic
450#125C23×C3711yescharacteristic
451#124—21no—
452#124—21no—
453#124—21no—
454#124—21no—
455#124—21no—
456#124—21no—
457#124—21no—
458#124—21no—
459#124—21no—
460#124C23×C3711yescharacteristic
461#124C23×C3711yescharacteristic
462#124C23×C3711yescharacteristic
463#123—21no—
464#123—21no—
465#123—21no—
466#123—21no—
467#123—21no—
468#123—21no—
469#123—21no—
470#123—21no—
471#123—21no—
472C22⋊Q8—21no—
473C22⋊Q8—21no—
474C22⋊Q8—21no—
475C22⋊Q8—21no—
476C22⋊Q8—21no—
477C22⋊Q8—21no—
478C22⋊Q8—21no—
479C22⋊Q8—21no—
480C22⋊Q8—21no—
481C22⋊Q8D4×C3711yescharacteristic
482C22⋊Q8D4×C3711yescharacteristic
483C22⋊Q8D4×C3711yescharacteristic
484#121—21no—
485#121—21no—
486#121—21no—
487#121D4×C3711yescharacteristic
488#121D4×C3711yescharacteristic
489#121D4×C3711yescharacteristic
490#120—21no—
491#120—21no—
492#120—21no—
493#120—21no—
494C4×Q8—21no—
495C4×Q8—21no—
496C4×Q8—21no—
497C4×Q8D4×C3711yescharacteristic
498C4×Q8D4×C3711yescharacteristic
499C4×Q8D4×C3711yescharacteristic
500C4×D4—21no—
501C4×D4—21no—
502C4×D4—21no—
503C4×D4—21no—
504C4×D4—21no—
505C4×D4—21no—
506C4×D4D4×C3711yescharacteristic
507C4×D4D4×C3711yescharacteristic
508C4×D4D4×C3711yescharacteristic
509#117—21no—
510#117—21no—
511#117—21no—
512#117—21no—
513#117—21no—
514#117—21no—
515C2×C4⋊C4—21no—
516C2×C4⋊C4—21no—
517C2×C22⋊C4—21no—
518C2×C22⋊C4—21no—
519C2×C22⋊C4—21no—
520C2×C42C23×C3711yescharacteristic
521#107—22no—
522#107—22no—
523#106—22no—
524#106—22no—
525C4⋊C8—21no—
526C4⋊C8—21no—
527C4⋊C8—21no—
528#103—22no—
529#103—22no—
530#103—22no—
531#103—22no—
532#102—22no—
533#102—22no—
534C22⋊C8—21no—
535C22⋊C8—21no—
536C22⋊C8—21no—
537#97C23×C3712yes—
538#97C23×C3712yes—
539#97C23×C3712yes—
540C24—21no—
541C2×Q8—21no—
542C2×Q8—21no—
543C2×Q8—21no—
544C2×Q8—22no—
545C2×Q8—41no—
546C2×Q8—82no—
547C2×Q8C2×D4×C3711yescharacteristic
548C2×Q8C2×D4×C3711yescharacteristic
549C2×Q8C2×D4×C3711yescharacteristic
550C2×D4—21no—
551C2×D4—21no—
552C2×D4—21no—
553C2×D4—21no—
554C2×D4—21no—
555C2×D4—21no—
556C2×D4C2×D4×C3711yescharacteristic
557C2×D4C2×D4×C3711yescharacteristic
558C2×D4C2×D4×C3711yescharacteristic
559C22×C4—21no—
560C22×C4—21no—
561C22×C4—21no—
562C22×C4—21no—
563C22×C4—21no—
564C22×C4—21no—
565C22×C4—41no—
566C22×C4C2×D4×C3711yescharacteristic
567C22×C4C2×D4×C3711yescharacteristic
568C22×C4C2×D4×C3711yescharacteristic
569Q16—82no—
570SD16—82no—
571C2×C8—22no—
572C2×C8—22no—
573C2×C8—22no—
574C4⋊C4—21no—
575C4⋊C4—21no—
576C4⋊C4—21no—
577C4⋊C4—21no—
578C4⋊C4—21no—
579C4⋊C4—21no—
580C4⋊C4—21no—
581C4⋊C4—21no—
582C4⋊C4—21no—
583C4⋊C4—21no—
584C4⋊C4—21no—
585C4⋊C4—21no—
586C4⋊C4—21no—
587C4⋊C4—21no—
588C4⋊C4—21no—
589C4⋊C4—21no—
590C4⋊C4—21no—
591C4⋊C4—21no—
592C4⋊C4—22no—
593C4⋊C4—22no—
594C4⋊C4—41no—
595C4⋊C4—41no—
596C4⋊C4C2×D4×C3711yescharacteristic
597C4⋊C4C2×D4×C3711yescharacteristic
598C4⋊C4C2×D4×C3711yescharacteristic
599C4⋊C4C2×D4×C3711yescharacteristic
600C4⋊C4C2×D4×C3711yescharacteristic
601C4⋊C4C2×D4×C3711yescharacteristic
602C22⋊C4—21no—
603C22⋊C4—21no—
604C22⋊C4—21no—
605C22⋊C4—21no—
606C22⋊C4—21no—
607C22⋊C4—21no—
608C22⋊C4—21no—
609C22⋊C4—21no—
610C22⋊C4—21no—
611C22⋊C4—21no—
612C22⋊C4—21no—
613C22⋊C4—21no—
614C22⋊C4—21no—
615C22⋊C4—21no—
616C22⋊C4—21no—
617C22⋊C4—21no—
618C22⋊C4—21no—
619C22⋊C4—21no—
620C22⋊C4—21no—
621C22⋊C4—21no—
622C22⋊C4—21no—
623C22⋊C4—21no—
624C22⋊C4—21no—
625C22⋊C4—21no—
626C22⋊C4—21no—
627C22⋊C4—21no—
628C22⋊C4—21no—
629C42—21no—
630C42—21no—
631C42—21no—
632C42—21no—
633C42—21no—
634C42—21no—
635C42—21no—
636C42C2×D4×C3711yescharacteristic
637C42C2×D4×C3711yescharacteristic
638C42C2×D4×C3711yescharacteristic
639C42C24×C3711yescharacteristic
640C23—21no—
641C23—21no—
642C23—21no—
643C23—81no—
644C23—81no—
645C23—81no—
646C23#120×C3711yescharacteristic
647Q8—41no—
648Q8—41no—
649Q8—41no—
650Q8—42no—
651Q8—42no—
652Q8—82no—
653Q8—81no—
654Q8—81no—
655Q8—81no—
656D4—41no—
657D4—41no—
658D4—41no—
659D4—81no—
660D4—81no—
661D4—81no—
662D4—81no—
663D4—81no—
664D4—81no—
665C2×C4—21no—
666C2×C4—21no—
667C2×C4—21no—
668C2×C4—21no—
669C2×C4—21no—
670C2×C4—21no—
671C2×C4—21no—
672C2×C4—21no—
673C2×C4—21no—
674C2×C4—41no—
675C2×C4—41no—
676C2×C4—41no—
677C2×C4—42no—
678C2×C4—81no—
679C2×C4—81no—
680C2×C4—81no—
681C2×C4—81no—
682C2×C4—81no—
683C2×C4—81no—
684C2×C4—82no—
685C2×C4#120×C3711yescharacteristic
686C2×C4#120×C3711yescharacteristic
687C2×C4#120×C3711yescharacteristic
688C2×C4C22×D4×C3711yescharacteristic
689C2×C4C22×D4×C3711yescharacteristic
690C2×C4C22×D4×C3711yescharacteristic
691C8—42no—
692C8—42no—
693C8—42no—
694C22—21no—
695C22—21no—
696C22—21no—
697C22—41no—
698C22—41no—
699C22—41no—
700C22—41no—
701C22—41no—
702C22—41no—
703C22—41no—
704C22—41no—
705C22—41no—
706C22—162no—
707C22C2×#120×C3711yescharacteristic
708C4—21no—
709C4—21no—
710C4—21no—
711C4—21no—
712C4—21no—
713C4—21no—
714C4—41no—
715C4—41no—
716C4—41no—
717C4—41no—
718C4—41no—
719C4—41no—
720C4—41no—
721C4—41no—
722C4—41no—
723C4—82no—
724C2—41no—
725C2—81no—
726C2—81no—
727C2—81no—
728C2C37×#302111yescharacteristic
729C2C37×#302211yescharacteristic
730C2C37×#302211yescharacteristic
subgroupG/H
center, socleC22×C37C2×#120
commutator, Frattini, cosocleC42C24×C37
prime radicalC37×#3568C2
LCSG ▷ C42 ▷ C22 ▷ C1
UCSC1 ◁ C22×C37 ◁ C2×C42×C37 ◁ G

Complements

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

NH ≅ G/Ntype
2. C37×#3239C2semidirect
3. C37×#3238C2semidirect
4. C37×#3218C2semidirect
5. C37×#1664C2semidirect
6. C37×#1664C2semidirect
7. C37×#1660C2semidirect
8. C37×#1659C2semidirect
9. C37×#1535C2semidirect
10. C37×#1535C2semidirect
11. C37×#1535C2semidirect
28. C2×C4⋊Q8×C37C22semidirect
32. C37×#501C22semidirect
33. C37×#501C22semidirect
35. C37×#491C22semidirect
50. C37×#432C22semidirect
51. C37×#432C22semidirect
52. C37×#432C22semidirect
53. C37×#330C22semidirect
54. C37×#330C22semidirect
55. C37×#330C22semidirect
328. #19095C37direct (N × H)
360. #3239C2×C37semidirect
361. #3238C2×C37semidirect
362. #3218C2×C37semidirect
363. #1664C2×C37semidirect
364. #1664C2×C37semidirect
365. #1660C2×C37semidirect
366. #1659C2×C37semidirect
367. #1535C2×C37semidirect
368. #1535C2×C37semidirect
369. #1535C2×C37semidirect
393. C2×C4⋊Q8C22×C37semidirect
397. #501C22×C37semidirect
398. #501C22×C37semidirect
400. #491C22×C37semidirect
415. #432C22×C37semidirect
416. #432C22×C37semidirect
417. #432C22×C37semidirect
418. #330C22×C37semidirect
419. #330C22×C37semidirect
420. #330C22×C37semidirect
424. C37#19095direct (N × H)

Maximal subgroups

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

subgroupindex
C37×#35682
C37×#32392
C37×#32382
C37×#32182
C37×#16642
C37×#16602
C37×#16592
C37×#15352
#1909537