Finite Group Databasebeta

← C37×#18424 #22639677

Subgroups — C37×#18424 #22639677

Order 9472.

1020 conjugacy classes of subgroups.

The subgroup lattice has 722 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C37×#3536C211yesmaximal, characteristic, complemented
2C37×#3192C211yesmaximal, characteristic, complemented
3C37×#3188C211yesmaximal, characteristic, complemented
4C37×#2639C211yesmaximal, characteristic, complemented
5C37×#1616C212yesmaximal, complemented
6C37×#1615C212yesmaximal, complemented
7C37×#1598C212yesmaximal, complemented
8C37×#1597C212yesmaximal, complemented
9C37×#1504C211yesmaximal, characteristic, complemented
10C2×C37×#327C211yesmaximal, characteristic, complemented
11C37×#1472C211yesmaximal, characteristic, complemented
12C37×#562—22no—
13C37×#554—21no—
14C37×#548—21no—
15C37×#547—21no—
16C37×#546—21no—
17C37×#546—22no—
18C37×#543—21no—
19C37×#542—21no—
20C37×#539C2212yes—
21C37×#538—21no—
22C37×#537—21no—
23C37×#537C2212yes—
24C37×#525C2211yescharacteristic
25C2×C22⋊Q8×C37C2211yescharacteristic
26C2×#121×C37C2211yescharacteristic
27C2×#121×C37C2211yescharacteristic
28C37×#484C2211yescharacteristic, complemented
29C37×#482—21no—
30C37×#481—21no—
31C37×#481C2212yes—
32C37×#481C2211yescharacteristic, complemented
33C37×#469—22no—
34C37×#466—21no—
35C37×#465—21no—
36C37×#450C2211yescharacteristic, complemented
37C37×#449—21no—
38C37×#447—21no—
39C37×#447C2212yes—
40C37×#447C2211yescharacteristic, complemented
41C37×#407C2211yescharacteristic
42C2×C22⋊C8×C37C2211yescharacteristic
43C37×#400C2212yescomplemented
44C37×#397—21no—
45C37×#394C2212yescomplemented
46C37×#393—21no—
47C37×#386—22no—
48C2×#95×C37C2211yescharacteristic
49C37×#328C2212yescomplemented
50C37×#327C2212yes—
51C37×#327C2212yes—
52C37×#327C2212yescomplemented
53C37×#324C2212yescomplemented
54C37×#324C2212yescomplemented
55C2×#41×C37—21no—
56C2×#41×C37—22no—
57C2×#41×C37D411yescharacteristic
58C22×Q8×C37D411yescharacteristic
59C22×D4×C37—21no—
60C22×D4×C37—21no—
61C22×D4×C37D411yescharacteristic
62C22×D4×C37C2311yescharacteristic
63C23×C4×C37—21no—
64C23×C4×C37C2311yescharacteristic
65C2×SD16×C37—21no—
66C2×D8×C37—22no—
67C2×D8×C37—21no—
68C2×M16×C37—21no—
69C22×C8×C37—21no—
70C4⋊Q8×C37—21no—
71#126×C37—22no—
72#125×C37—22no—
73#124×C37—22no—
74#124×C37—21no—
75#124×C37—22no—
76#123×C37—22no—
77#123×C37—22no—
78#123×C37—22no—
79#123×C37—21no—
80#123×C37—22no—
81C22⋊Q8×C37—21no—
82C22⋊Q8×C37—22no—
83C22⋊Q8×C37—22no—
84C22⋊Q8×C37—22no—
85C22⋊Q8×C37—22no—
86C22⋊Q8×C37—21no—
87C22⋊Q8×C37—21no—
88C22⋊Q8×C37—21no—
89C22⋊Q8×C37—21no—
90C22⋊Q8×C37—22no—
91C22⋊Q8×C37—22no—
92C22⋊Q8×C37D411yescharacteristic
93C22⋊Q8×C37C2311yescharacteristic
94#121×C37—21no—
95#121×C37—22no—
96#121×C37—22no—
97#121×C37—22no—
98#121×C37—22no—
99#121×C37—21no—
100#121×C37—21no—
101#121×C37—22no—
102#121×C37—21no—
103#121×C37—21no—
104#121×C37—21no—
105#121×C37—21no—
106#121×C37D412yes—
107#121×C37D411yescharacteristic
108#121×C37C2312yes—
109#121×C37C2311yescharacteristic
110#120×C37—22no—
111#120×C37—21no—
112C4×Q8×C37—21no—
113C4×D4×C37—22no—
114C4×D4×C37—21no—
115C4×D4×C37—21no—
116C4×D4×C37—21no—
117C4×D4×C37—22no—
118#117×C37D411yescharacteristic
119C2×C4⋊C4×C37—21no—
120C2×C4⋊C4×C37D411yescharacteristic
121C2×C4⋊C4×C37D411yescharacteristic
122C2×C4⋊C4×C37C2311yescharacteristic
123C2×C4⋊C4×C37C2312yes—
124C2×C22⋊C4×C37—22no—
125C2×C22⋊C4×C37—21no—
126C2×C22⋊C4×C37—21no—
127C2×C22⋊C4×C37—22no—
128C2×C22⋊C4×C37—22no—
129C2×C22⋊C4×C37D412yes—
130#107×C37—21no—
131#106×C37—21no—
132#106×C37—22no—
133#103×C37—21no—
134#102×C37—22no—
135#102×C37—21no—
136#102×C37—22no—
137#102×C37—21no—
138#102×C37—21no—
139C22⋊C8×C37—21no—
140C22⋊C8×C37—21no—
141C22⋊C8×C37C2311yescharacteristic
142C22⋊C8×C37C2311yescharacteristic
143C22⋊C8×C37C2312yes—
144#95×C37—21no—
145#95×C37—22no—
146#95×C37—22no—
147#95×C37C2312yes—
148C24×C37—21no—
149C24×C37—21no—
150C24×C37C2×D411yescharacteristic
151#41×C37—82no—
152#41×C37—82no—
153#41×C37—81no—
154#41×C37—82no—
155C2×Q8×C37—22no—
156C2×Q8×C37—21no—
157C2×Q8×C37—21no—
158C2×Q8×C37—81no—
159C2×Q8×C37C2×D411yescharacteristic
160C2×D4×C37—21no—
161C2×D4×C37—21no—
162C2×D4×C37—22no—
163C2×D4×C37—22no—
164C2×D4×C37—22no—
165C2×D4×C37—21no—
166C2×D4×C37—22no—
167C2×D4×C37—21no—
168C2×D4×C37—21no—
169C2×D4×C37—21no—
170C2×D4×C37—44no—
171C2×D4×C37—41no—
172C2×D4×C37—41no—
173C2×D4×C37—81no—
174C2×D4×C37—81no—
175C2×D4×C37—81no—
176C2×D4×C37—81no—
177C2×D4×C37C2×D411yescharacteristic
178C2×D4×C37C2×D412yes—
179C22×C4×C37—22no—
180C22×C4×C37—22no—
181C22×C4×C37—22no—
182C22×C4×C37—21no—
183C22×C4×C37—21no—
184C22×C4×C37—21no—
185C22×C4×C37—22no—
186C22×C4×C37—42no—
187C22×C4×C37—81no—
188C22×C4×C37—81no—
189C22×C4×C37—81no—
190C22×C4×C37C2×D412yes—
191C22×C4×C37C2×D412yes—
192C22×C4×C37C2×D411yescharacteristic
193C22×C4×C37C2×D411yescharacteristic
194C22×C4×C37C2×D411yescharacteristic
195C22×C4×C37C2×D411yescharacteristic
196C22×C4×C37C2×D411yescharacteristic
197C22×C4×C37C2411yescharacteristic
198SD16×C37—81no—
199D8×C37—81no—
200D8×C37—82no—
201M16×C37—81no—
202C2×C8×C37—21no—
203C2×C8×C37—22no—
204C2×C8×C37—21no—
205C2×C8×C37—81no—
206C4⋊C4×C37—22no—
207C4⋊C4×C37—22no—
208C4⋊C4×C37—22no—
209C4⋊C4×C37—22no—
210C4⋊C4×C37—21no—
211C4⋊C4×C37—21no—
212C4⋊C4×C37—21no—
213C4⋊C4×C37—21no—
214C4⋊C4×C37—22no—
215C4⋊C4×C37—22no—
216C4⋊C4×C37—21no—
217C4⋊C4×C37—21no—
218C4⋊C4×C37—21no—
219C4⋊C4×C37C2×D412yes—
220C4⋊C4×C37C2×D411yescharacteristic
221C4⋊C4×C37C2×D411yescharacteristic
222C22⋊C4×C37—22no—
223C22⋊C4×C37—22no—
224C22⋊C4×C37—22no—
225C22⋊C4×C37—22no—
226C22⋊C4×C37—22no—
227C22⋊C4×C37—21no—
228C22⋊C4×C37—22no—
229C22⋊C4×C37—22no—
230C22⋊C4×C37—21no—
231C22⋊C4×C37—21no—
232C22⋊C4×C37—22no—
233C22⋊C4×C37—21no—
234C22⋊C4×C37—22no—
235C22⋊C4×C37—21no—
236C22⋊C4×C37—41no—
237C22⋊C4×C37—41no—
238C22⋊C4×C37—82no—
239C22⋊C4×C37—82no—
240C42×C37—22no—
241C42×C37—21no—
242C23×C37—21no—
243C23×C37—21no—
244C23×C37—22no—
245C23×C37—22no—
246C23×C37—21no—
247C23×C37—41no—
248C23×C37—42no—
249C23×C37—42no—
250C23×C37—42no—
251C23×C37—41no—
252C23×C37—41no—
253C23×C37—41no—
254C23×C37—81no—
255C23×C37—81no—
256C23×C37#12011yescharacteristic
257C23×C37#12011yescharacteristic
258C23×C37C22×D411yescharacteristic
259Q8×C37—41no—
260Q8×C37—42no—
261Q8×C37—81no—
262Q8×C37—82no—
263D4×C37—42no—
264D4×C37—41no—
265D4×C37—42no—
266D4×C37—42no—
267D4×C37—41no—
268D4×C37—41no—
269D4×C37—42no—
270D4×C37—41no—
271D4×C37—42no—
272D4×C37—41no—
273D4×C37—42no—
274D4×C37—82no—
275D4×C37—81no—
276D4×C37—82no—
277D4×C37—82no—
278D4×C37—82no—
279D4×C37—82no—
280C2×C4×C37—21no—
281C2×C4×C37—22no—
282C2×C4×C37—21no—
283C2×C4×C37—22no—
284C2×C4×C37—21no—
285C2×C4×C37—22no—
286C2×C4×C37—22no—
287C2×C4×C37—22no—
288C2×C4×C37—41no—
289C2×C4×C37—41no—
290C2×C4×C37—41no—
291C2×C4×C37—41no—
292C2×C4×C37—41no—
293C2×C4×C37—41no—
294C2×C4×C37—42no—
295C2×C4×C37—42no—
296C2×C4×C37—42no—
297C2×C4×C37—42no—
298C2×C4×C37—42no—
299C2×C4×C37—41no—
300C2×C4×C37—42no—
301C2×C4×C37—81no—
302C2×C4×C37—82no—
303C2×C4×C37—82no—
304C2×C4×C37—82no—
305C2×C4×C37—84no—
306C2×C4×C37#12011yescharacteristic
307C2×C4×C37#12011yescharacteristic
308C2×C4×C37C22×D411yescharacteristic
309C2×C4×C37C22×D411yescharacteristic
310C8×C37—41no—
311C8×C37—41no—
312C8×C37—42no—
313#18424C3711yesmaximal, characteristic, direct product factor, Sylow
314C22×C37—21no—
315C22×C37—21no—
316C22×C37—21no—
317C22×C37—21no—
318C22×C37—21no—
319C22×C37—21no—
320C22×C37—21no—
321C22×C37—42no—
322C22×C37—42no—
323C22×C37—41no—
324C22×C37—42no—
325C22×C37—41no—
326C22×C37—42no—
327C22×C37—41no—
328C22×C37—42no—
329C22×C37—82no—
330C22×C37—82no—
331C22×C37—81no—
332C22×C37—81no—
333C22×C37—81no—
334C22×C37—162no—
335C22×C37#45412yes—
336C22×C37C2×#12011yescharacteristic
337C22×C37#57611yescharacteristic
338C22×C37#57711yescharacteristic
339C4×C37—21no—
340C4×C37—21no—
341C4×C37—21no—
342C4×C37—21no—
343C4×C37—42no—
344C4×C37—42no—
345C4×C37—41no—
346C4×C37—41no—
347C4×C37—41no—
348C4×C37—42no—
349C4×C37—82no—
350C4×C37—81no—
351#3536C2×C3711yescharacteristic, complemented
352#3192C2×C3711yescharacteristic, complemented
353#3188C2×C3711yescharacteristic, complemented
354#2639C2×C3711yescharacteristic, complemented
355#1616C2×C3712yescomplemented
356#1615C2×C3712yescomplemented
357#1598C2×C3712yescomplemented
358#1597C2×C3712yescomplemented
359#1504C2×C3711yescharacteristic, complemented
360C2×#327C2×C3711yescharacteristic, complemented
361#1472C2×C3711yescharacteristic, complemented
362C2×C37—21no—
363C2×C37—21no—
364C2×C37—22no—
365C2×C37—41no—
366C2×C37—81no—
367C2×C37—82no—
368C2×C37—161no—
369C2×C37#301211yescharacteristic
370C2×C37C2×#45411yescharacteristic
371C2×C37#302611yescharacteristic
372#562—22no—
373#554—21no—
374#548—21no—
375#547—21no—
376#546—21no—
377#546—22no—
378#543—21no—
379#542—21no—
380#539C22×C3712yes—
381#538—21no—
382#537—21no—
383#537C22×C3712yes—
384#525C22×C3711yescharacteristic
385C2×C22⋊Q8C22×C3711yescharacteristic
386C2×#121C22×C3711yescharacteristic
387C2×#121C22×C3711yescharacteristic
388#484C22×C3711yescharacteristic, complemented
389#482—21no—
390#481—21no—
391#481C22×C3712yes—
392#481C22×C3711yescharacteristic, complemented
393#469—22no—
394#466—21no—
395#465—21no—
396#450C22×C3711yescharacteristic, complemented
397#449—21no—
398#447—21no—
399#447C22×C3712yes—
400#447C22×C3711yescharacteristic, complemented
401#407C22×C3711yescharacteristic
402C2×C22⋊C8C22×C3711yescharacteristic
403#400C22×C3712yescomplemented
404#397—21no—
405#394C22×C3712yescomplemented
406#393—21no—
407#386—22no—
408C2×#95C22×C3711yescharacteristic
409#328C22×C3712yescomplemented
410#327C22×C3712yes—
411#327C22×C3712yes—
412#327C22×C3712yescomplemented
413#324C22×C3712yescomplemented
414#324C22×C3712yescomplemented
415C37#1842411yescharacteristic, direct product factor, Sylow
416C2×#41—21no—
417C2×#41—22no—
418C2×#41D4×C3711yescharacteristic
419C22×Q8D4×C3711yescharacteristic
420C22×D4—21no—
421C22×D4—21no—
422C22×D4D4×C3711yescharacteristic
423C22×D4C23×C3711yescharacteristic
424C23×C4—21no—
425C23×C4C23×C3711yescharacteristic
426C2×SD16—21no—
427C2×D8—22no—
428C2×D8—21no—
429C2×M16—21no—
430C22×C8—21no—
431C4⋊Q8—21no—
432#126—22no—
433#125—22no—
434#124—22no—
435#124—21no—
436#124—22no—
437#123—22no—
438#123—22no—
439#123—22no—
440#123—21no—
441#123—22no—
442C22⋊Q8—21no—
443C22⋊Q8—22no—
444C22⋊Q8—22no—
445C22⋊Q8—22no—
446C22⋊Q8—22no—
447C22⋊Q8—21no—
448C22⋊Q8—21no—
449C22⋊Q8—21no—
450C22⋊Q8—21no—
451C22⋊Q8—22no—
452C22⋊Q8—22no—
453C22⋊Q8D4×C3711yescharacteristic
454C22⋊Q8C23×C3711yescharacteristic
455#121—21no—
456#121—22no—
457#121—22no—
458#121—22no—
459#121—22no—
460#121—21no—
461#121—21no—
462#121—22no—
463#121—21no—
464#121—21no—
465#121—21no—
466#121—21no—
467#121D4×C3712yes—
468#121D4×C3711yescharacteristic
469#121C23×C3712yes—
470#121C23×C3711yescharacteristic
471#120—22no—
472#120—21no—
473C4×Q8—21no—
474C4×D4—22no—
475C4×D4—21no—
476C4×D4—21no—
477C4×D4—21no—
478C4×D4—22no—
479#117D4×C3711yescharacteristic
480C2×C4⋊C4—21no—
481C2×C4⋊C4D4×C3711yescharacteristic
482C2×C4⋊C4D4×C3711yescharacteristic
483C2×C4⋊C4C23×C3711yescharacteristic
484C2×C4⋊C4C23×C3712yes—
485C2×C22⋊C4—22no—
486C2×C22⋊C4—21no—
487C2×C22⋊C4—21no—
488C2×C22⋊C4—22no—
489C2×C22⋊C4—22no—
490C2×C22⋊C4D4×C3712yes—
491#107—21no—
492#106—21no—
493#106—22no—
494#103—21no—
495#102—22no—
496#102—21no—
497#102—22no—
498#102—21no—
499#102—21no—
500C22⋊C8—21no—
501C22⋊C8—21no—
502C22⋊C8C23×C3711yescharacteristic
503C22⋊C8C23×C3711yescharacteristic
504C22⋊C8C23×C3712yes—
505#95—21no—
506#95—22no—
507#95—22no—
508#95C23×C3712yes—
509C24—21no—
510C24—21no—
511C24C2×D4×C3711yescharacteristic
512#41—82no—
513#41—82no—
514#41—81no—
515#41—82no—
516C2×Q8—22no—
517C2×Q8—21no—
518C2×Q8—21no—
519C2×Q8—81no—
520C2×Q8C2×D4×C3711yescharacteristic
521C2×D4—21no—
522C2×D4—21no—
523C2×D4—22no—
524C2×D4—22no—
525C2×D4—22no—
526C2×D4—21no—
527C2×D4—22no—
528C2×D4—21no—
529C2×D4—21no—
530C2×D4—21no—
531C2×D4—44no—
532C2×D4—41no—
533C2×D4—41no—
534C2×D4—81no—
535C2×D4—81no—
536C2×D4—81no—
537C2×D4—81no—
538C2×D4C2×D4×C3711yescharacteristic
539C2×D4C2×D4×C3712yes—
540C22×C4—22no—
541C22×C4—22no—
542C22×C4—22no—
543C22×C4—21no—
544C22×C4—21no—
545C22×C4—21no—
546C22×C4—22no—
547C22×C4—42no—
548C22×C4—81no—
549C22×C4—81no—
550C22×C4—81no—
551C22×C4C2×D4×C3712yes—
552C22×C4C2×D4×C3712yes—
553C22×C4C2×D4×C3711yescharacteristic
554C22×C4C2×D4×C3711yescharacteristic
555C22×C4C2×D4×C3711yescharacteristic
556C22×C4C2×D4×C3711yescharacteristic
557C22×C4C2×D4×C3711yescharacteristic
558C22×C4C24×C3711yescharacteristic
559SD16—81no—
560D8—81no—
561D8—82no—
562M16—81no—
563C2×C8—21no—
564C2×C8—22no—
565C2×C8—21no—
566C2×C8—81no—
567C4⋊C4—22no—
568C4⋊C4—22no—
569C4⋊C4—22no—
570C4⋊C4—22no—
571C4⋊C4—21no—
572C4⋊C4—21no—
573C4⋊C4—21no—
574C4⋊C4—21no—
575C4⋊C4—22no—
576C4⋊C4—22no—
577C4⋊C4—21no—
578C4⋊C4—21no—
579C4⋊C4—21no—
580C4⋊C4C2×D4×C3712yes—
581C4⋊C4C2×D4×C3711yescharacteristic
582C4⋊C4C2×D4×C3711yescharacteristic
583C22⋊C4—22no—
584C22⋊C4—22no—
585C22⋊C4—22no—
586C22⋊C4—22no—
587C22⋊C4—22no—
588C22⋊C4—21no—
589C22⋊C4—22no—
590C22⋊C4—22no—
591C22⋊C4—21no—
592C22⋊C4—21no—
593C22⋊C4—22no—
594C22⋊C4—21no—
595C22⋊C4—22no—
596C22⋊C4—21no—
597C22⋊C4—41no—
598C22⋊C4—41no—
599C22⋊C4—82no—
600C22⋊C4—82no—
601C42—22no—
602C42—21no—
603C23—21no—
604C23—21no—
605C23—22no—
606C23—22no—
607C23—21no—
608C23—41no—
609C23—42no—
610C23—42no—
611C23—42no—
612C23—41no—
613C23—41no—
614C23—41no—
615C23—81no—
616C23—81no—
617C23#120×C3711yescharacteristic
618C23#120×C3711yescharacteristic
619C23C22×D4×C3711yescharacteristic
620Q8—41no—
621Q8—42no—
622Q8—81no—
623Q8—82no—
624D4—42no—
625D4—41no—
626D4—42no—
627D4—42no—
628D4—41no—
629D4—41no—
630D4—42no—
631D4—41no—
632D4—42no—
633D4—41no—
634D4—42no—
635D4—82no—
636D4—81no—
637D4—82no—
638D4—82no—
639D4—82no—
640D4—82no—
641C2×C4—21no—
642C2×C4—22no—
643C2×C4—21no—
644C2×C4—22no—
645C2×C4—21no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—41no—
652C2×C4—41no—
653C2×C4—41no—
654C2×C4—41no—
655C2×C4—42no—
656C2×C4—42no—
657C2×C4—42no—
658C2×C4—42no—
659C2×C4—42no—
660C2×C4—41no—
661C2×C4—42no—
662C2×C4—81no—
663C2×C4—82no—
664C2×C4—82no—
665C2×C4—82no—
666C2×C4—84no—
667C2×C4#120×C3711yescharacteristic
668C2×C4#120×C3711yescharacteristic
669C2×C4C22×D4×C3711yescharacteristic
670C2×C4C22×D4×C3711yescharacteristic
671C8—41no—
672C8—41no—
673C8—42no—
674C22—21no—
675C22—21no—
676C22—21no—
677C22—21no—
678C22—21no—
679C22—21no—
680C22—21no—
681C22—42no—
682C22—42no—
683C22—41no—
684C22—42no—
685C22—41no—
686C22—42no—
687C22—41no—
688C22—42no—
689C22—82no—
690C22—82no—
691C22—81no—
692C22—81no—
693C22—81no—
694C22—162no—
695C22C37×#45412yes—
696C22C2×#120×C3711yescharacteristic
697C22C37×#57611yescharacteristic
698C22C37×#57711yescharacteristic
699C4—21no—
700C4—21no—
701C4—21no—
702C4—21no—
703C4—42no—
704C4—42no—
705C4—41no—
706C4—41no—
707C4—41no—
708C4—42no—
709C4—82no—
710C4—81no—
711C2—21no—
712C2—21no—
713C2—22no—
714C2—41no—
715C2—82no—
716C2—81no—
717C2—161no—
718C2C37×#301211yescharacteristic
719C2C2×C37×#45411yescharacteristic
720C2C37×#302611yescharacteristic
subgroupG/H
center, socleC22×C37C2×#120
commutator, Frattini, cosocleC22×C4C24×C37
LCSG ▷ C22×C4 ▷ C22 ▷ C1
UCSC1 ◁ C22×C37 ◁ C23×C4×C37 ◁ G

Complements

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

NH ≅ G/Ntype
1. C37×#3536C2semidirect
2. C37×#3192C2semidirect
3. C37×#3188C2semidirect
4. C37×#2639C2semidirect
5. C37×#1616C2semidirect
6. C37×#1615C2semidirect
7. C37×#1598C2semidirect
8. C37×#1597C2semidirect
9. C37×#1504C2semidirect
10. C2×C37×#327C2semidirect
11. C37×#1472C2semidirect
28. C37×#484C22semidirect
32. C37×#481C22semidirect
36. C37×#450C22semidirect
40. C37×#447C22semidirect
43. C37×#400C22semidirect
45. C37×#394C22semidirect
49. C37×#328C22semidirect
52. C37×#327C22semidirect
53. C37×#324C22semidirect
54. C37×#324C22semidirect
313. #18424C37direct (N × H)
351. #3536C2×C37semidirect
352. #3192C2×C37semidirect
353. #3188C2×C37semidirect
354. #2639C2×C37semidirect
355. #1616C2×C37semidirect
356. #1615C2×C37semidirect
357. #1598C2×C37semidirect
358. #1597C2×C37semidirect
359. #1504C2×C37semidirect
360. C2×#327C2×C37semidirect
361. #1472C2×C37semidirect
388. #484C22×C37semidirect
392. #481C22×C37semidirect
396. #450C22×C37semidirect
400. #447C22×C37semidirect
403. #400C22×C37semidirect
405. #394C22×C37semidirect
409. #328C22×C37semidirect
412. #327C22×C37semidirect
413. #324C22×C37semidirect
414. #324C22×C37semidirect
415. C37#18424direct (N × H)

Maximal subgroups

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

subgroupindex
C37×#35362
C37×#31922
C37×#31882
C37×#26392
C37×#16162
C37×#16152
C37×#15982
C37×#15972
C37×#15042
C2×C37×#3272
C37×#14722
#1842437