Finite Group Databasebeta

← C37×#18236 #22639489

Subgroups — C37×#18236 #22639489

Order 9472.

1044 conjugacy classes of subgroups.

The subgroup lattice has 720 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C37×#3537C211yesmaximal, characteristic
2C37×#3094C211yesmaximal, characteristic, complemented
3C37×#3091C211yesmaximal, characteristic, complemented
4C37×#2624C211yesmaximal, characteristic, complemented
5C37×#1618C212yesmaximal, complemented
6C37×#1613C212yesmaximal, complemented
7C37×#1612C212yesmaximal, complemented
8C37×#1607C212yesmaximal, complemented
9C37×#1519C211yesmaximal, characteristic, complemented
10C37×#1513C211yesmaximal, characteristic, complemented
11C37×#1471C211yesmaximal, characteristic, complemented
12C37×#560—22no—
13C37×#553—21no—
14C37×#553—21no—
15D42×C37—22no—
16D42×C37—21no—
17D42×C37—21no—
18C37×#540—21no—
19C37×#538—21no—
20C37×#538C2212yes—
21C37×#535—21no—
22C37×#534—21no—
23C37×#534C2212yes—
24C37×#525C2211yescharacteristic
25C2×#121×C37C2211yescharacteristic
26C2×#121×C37C2211yescharacteristic
27C2×#117×C37C2211yescharacteristic, complemented
28C37×#485—21no—
29C37×#484C2211yescharacteristic, complemented
30C37×#483C2211yescharacteristic, complemented
31C37×#482—21no—
32C37×#482—22no—
33C37×#481C2211yescharacteristic, complemented
34C37×#481C2212yescomplemented
35C37×#480C2211yescharacteristic, complemented
36C37×#480C2212yescomplemented
37C37×#428—21no—
38C37×#427—21no—
39C37×#418—21no—
40C37×#416—21no—
41C37×#407C2211yescharacteristic, complemented
42C2×C22⋊C8×C37C2211yescharacteristic, complemented
43C37×#399C2212yescomplemented
44C37×#397C2212yescomplemented
45C37×#394—22no—
46C37×#390—21no—
47C37×#389—21no—
48C37×#380C2211yescharacteristic, complemented
49C37×#328C2212yescomplemented
50C37×#327C2212yescomplemented
51C37×#327C2212yescomplemented
52C37×#327C2212yescomplemented
53C37×#323C2212yescomplemented
54C37×#323C2212yescomplemented
55C2×#41×C37D411yescharacteristic
56C22×D4×C37—22no—
57C22×D4×C37—21no—
58C22×D4×C37—21no—
59C22×D4×C37—22no—
60C22×D4×C37D411yescharacteristic
61C22×D4×C37D412yes—
62C22×D4×C37D411yescharacteristic
63C23×C4×C37C2311yescharacteristic
64C2×M16×C37—21no—
65C22×C8×C37—21no—
66#127×C37—22no—
67#127×C37—21no—
68#126×C37—22no—
69#126×C37—22no—
70#125×C37—21no—
71#124×C37—22no—
72#123×C37—22no—
73#123×C37—21no—
74#123×C37—22no—
75#123×C37—22no—
76#123×C37—22no—
77C22⋊Q8×C37D411yescharacteristic
78C22⋊Q8×C37C2311yescharacteristic
79#121×C37—22no—
80#121×C37—21no—
81#121×C37—21no—
82#121×C37—22no—
83#121×C37—22no—
84#121×C37—22no—
85#121×C37—22no—
86#121×C37—21no—
87#121×C37—21no—
88#121×C37—21no—
89#121×C37—21no—
90#121×C37—21no—
91#121×C37—21no—
92#121×C37—22no—
93#121×C37D412yes—
94#121×C37D411yescharacteristic
95#121×C37C2312yes—
96#121×C37C2311yescharacteristic
97#120×C37—22no—
98#120×C37—22no—
99#120×C37—22no—
100#120×C37—21no—
101#120×C37—22no—
102#120×C37—22no—
103#120×C37—22no—
104C4×D4×C37—22no—
105C4×D4×C37—21no—
106C4×D4×C37—21no—
107C4×D4×C37—21no—
108C4×D4×C37—21no—
109C4×D4×C37—22no—
110#117×C37—21no—
111#117×C37—21no—
112#117×C37—21no—
113#117×C37—21no—
114#117×C37—21no—
115#117×C37D411yescharacteristic
116C2×C4⋊C4×C37—21no—
117C2×C4⋊C4×C37—22no—
118C2×C4⋊C4×C37D411yescharacteristic
119C2×C4⋊C4×C37D411yescharacteristic
120C2×C4⋊C4×C37C2311yescharacteristic
121C2×C4⋊C4×C37C2311yescharacteristic
122C2×C22⋊C4×C37—21no—
123C2×C22⋊C4×C37—21no—
124C2×C22⋊C4×C37—21no—
125C2×C22⋊C4×C37—22no—
126C2×C22⋊C4×C37—22no—
127C2×C22⋊C4×C37C2312yes—
128C2×C42×C37—21no—
129#107×C37—21no—
130#107×C37—21no—
131#107×C37—22no—
132#106×C37—21no—
133#106×C37—21no—
134#106×C37—22no—
135#103×C37—21no—
136#103×C37—21no—
137#102×C37—21no—
138#102×C37—21no—
139#102×C37—22no—
140#102×C37—22no—
141C22⋊C8×C37—21no—
142C22⋊C8×C37—21no—
143C22⋊C8×C37C2311yescharacteristic
144C22⋊C8×C37C2311yescharacteristic
145C22⋊C8×C37C2312yes—
146#95×C37—22no—
147#95×C37C2312yes—
148C24×C37—22no—
149C24×C37—21no—
150C24×C37C2×D412yes—
151C24×C37C2×D411yescharacteristic
152#41×C37—42no—
153C2×Q8×C37C2×D411yescharacteristic
154C2×D4×C37—22no—
155C2×D4×C37—21no—
156C2×D4×C37—21no—
157C2×D4×C37—22no—
158C2×D4×C37—22no—
159C2×D4×C37—22no—
160C2×D4×C37—22no—
161C2×D4×C37—22no—
162C2×D4×C37—22no—
163C2×D4×C37—21no—
164C2×D4×C37—22no—
165C2×D4×C37—22no—
166C2×D4×C37—21no—
167C2×D4×C37—21no—
168C2×D4×C37—21no—
169C2×D4×C37—42no—
170C2×D4×C37—42no—
171C2×D4×C37—82no—
172C2×D4×C37—82no—
173C2×D4×C37—81no—
174C2×D4×C37—81no—
175C2×D4×C37—82no—
176C2×D4×C37—82no—
177C2×D4×C37—84no—
178C2×D4×C37C2×D411yescharacteristic
179C2×D4×C37C2×D412yes—
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—21no—
187C22×C4×C37—42no—
188C22×C4×C37C2×D411yescharacteristic
189C22×C4×C37C2×D411yescharacteristic
190C22×C4×C37C2×D411yescharacteristic
191C22×C4×C37C2×D412yes—
192C22×C4×C37C2×D411yescharacteristic
193C22×C4×C37C2×D411yescharacteristic
194C22×C4×C37C2411yescharacteristic
195M16×C37—42no—
196C2×C8×C37—22no—
197C2×C8×C37—21no—
198C2×C8×C37—21no—
199C2×C8×C37—42no—
200C4⋊C4×C37—22no—
201C4⋊C4×C37—22no—
202C4⋊C4×C37—21no—
203C4⋊C4×C37—21no—
204C4⋊C4×C37—21no—
205C4⋊C4×C37—21no—
206C4⋊C4×C37—21no—
207C4⋊C4×C37—21no—
208C4⋊C4×C37—21no—
209C4⋊C4×C37—21no—
210C4⋊C4×C37—21no—
211C4⋊C4×C37—42no—
212C4⋊C4×C37—82no—
213C4⋊C4×C37C2×D412yes—
214C4⋊C4×C37C2×D411yescharacteristic
215C4⋊C4×C37C2×D411yescharacteristic
216C22⋊C4×C37—22no—
217C22⋊C4×C37—22no—
218C22⋊C4×C37—22no—
219C22⋊C4×C37—22no—
220C22⋊C4×C37—22no—
221C22⋊C4×C37—21no—
222C22⋊C4×C37—21no—
223C22⋊C4×C37—21no—
224C22⋊C4×C37—22no—
225C22⋊C4×C37—21no—
226C22⋊C4×C37—22no—
227C22⋊C4×C37—22no—
228C22⋊C4×C37—22no—
229C22⋊C4×C37—21no—
230C22⋊C4×C37—41no—
231C22⋊C4×C37—41no—
232C22⋊C4×C37—81no—
233C22⋊C4×C37—82no—
234C22⋊C4×C37—82no—
235C42×C37—22no—
236C42×C37—21no—
237C42×C37—41no—
238C42×C37—41no—
239C23×C37—21no—
240C23×C37—21no—
241C23×C37—22no—
242C23×C37—22no—
243C23×C37—21no—
244C23×C37—22no—
245C23×C37—22no—
246C23×C37—41no—
247C23×C37—41no—
248C23×C37—42no—
249C23×C37—42no—
250C23×C37—42no—
251C23×C37—81no—
252C23×C37—81no—
253C23×C37—82no—
254C23×C37—82no—
255C23×C37—82no—
256C23×C37#12011yescharacteristic
257C23×C37#12011yescharacteristic
258C23×C37C22×D411yescharacteristic
259Q8×C37—41no—
260D4×C37—42no—
261D4×C37—41no—
262D4×C37—44no—
263D4×C37—42no—
264D4×C37—42no—
265D4×C37—41no—
266D4×C37—42no—
267D4×C37—41no—
268D4×C37—42no—
269D4×C37—42no—
270D4×C37—81no—
271D4×C37—82no—
272D4×C37—82no—
273D4×C37—81no—
274D4×C37—82no—
275D4×C37—82no—
276D4×C37—82no—
277D4×C37—82no—
278D4×C37—82no—
279C2×C4×C37—22no—
280C2×C4×C37—22no—
281C2×C4×C37—22no—
282C2×C4×C37—21no—
283C2×C4×C37—22no—
284C2×C4×C37—22no—
285C2×C4×C37—21no—
286C2×C4×C37—21no—
287C2×C4×C37—41no—
288C2×C4×C37—41no—
289C2×C4×C37—41no—
290C2×C4×C37—42no—
291C2×C4×C37—42no—
292C2×C4×C37—41no—
293C2×C4×C37—42no—
294C2×C4×C37—42no—
295C2×C4×C37—41no—
296C2×C4×C37—41no—
297C2×C4×C37—41no—
298C2×C4×C37—42no—
299C2×C4×C37—41no—
300C2×C4×C37—41no—
301C2×C4×C37—81no—
302C2×C4×C37—82no—
303C2×C4×C37—82no—
304C2×C4×C37#12011yescharacteristic
305C2×C4×C37#12011yescharacteristic
306C2×C4×C37C22×D411yescharacteristic
307C2×C4×C37C22×D411yescharacteristic
308C8×C37—41no—
309C8×C37—41no—
310C8×C37—42no—
311#18236C3711yesmaximal, characteristic, direct product factor, Sylow
312C22×C37—21no—
313C22×C37—21no—
314C22×C37—21no—
315C22×C37—21no—
316C22×C37—21no—
317C22×C37—21no—
318C22×C37—21no—
319C22×C37—21no—
320C22×C37—42no—
321C22×C37—42no—
322C22×C37—41no—
323C22×C37—42no—
324C22×C37—42no—
325C22×C37—41no—
326C22×C37—41no—
327C22×C37—42no—
328C22×C37—42no—
329C22×C37—81no—
330C22×C37—81no—
331C22×C37—82no—
332C22×C37—82no—
333C22×C37—162no—
334C22×C37—164no—
335C22×C37C2×#12011yescharacteristic
336C22×C37#57611yescharacteristic
337C22×C37#57711yescharacteristic
338C4×C37—21no—
339C4×C37—21no—
340C4×C37—21no—
341C4×C37—42no—
342C4×C37—41no—
343C4×C37—42no—
344C4×C37—41no—
345C4×C37—41no—
346C4×C37—82no—
347C4×C37—81no—
348C4×C37—81no—
349C4×C37#45812yes—
350#3537C2×C3711yescharacteristic
351#3094C2×C3711yescharacteristic, complemented
352#3091C2×C3711yescharacteristic, complemented
353#2624C2×C3711yescharacteristic, complemented
354#1618C2×C3712yescomplemented
355#1613C2×C3712yescomplemented
356#1612C2×C3712yescomplemented
357#1607C2×C3712yescomplemented
358#1519C2×C3711yescharacteristic, complemented
359#1513C2×C3711yescharacteristic, complemented
360#1471C2×C3711yescharacteristic, complemented
361C2×C37—21no—
362C2×C37—21no—
363C2×C37—41no—
364C2×C37—41no—
365C2×C37—82no—
366C2×C37—82no—
367C2×C37—81no—
368C2×C37#301211yescharacteristic
369C2×C37#301911yescharacteristic
370C2×C37C2×#45811yescharacteristic
371#560—22no—
372#553—21no—
373#553—21no—
374D42—22no—
375D42—21no—
376D42—21no—
377#540—21no—
378#538—21no—
379#538C22×C3712yes—
380#535—21no—
381#534—21no—
382#534C22×C3712yes—
383#525C22×C3711yescharacteristic
384C2×#121C22×C3711yescharacteristic
385C2×#121C22×C3711yescharacteristic
386C2×#117C22×C3711yescharacteristic, complemented
387#485—21no—
388#484C22×C3711yescharacteristic, complemented
389#483C22×C3711yescharacteristic, complemented
390#482—21no—
391#482—22no—
392#481C22×C3711yescharacteristic, complemented
393#481C22×C3712yescomplemented
394#480C22×C3711yescharacteristic, complemented
395#480C22×C3712yescomplemented
396#428—21no—
397#427—21no—
398#418—21no—
399#416—21no—
400#407C22×C3711yescharacteristic, complemented
401C2×C22⋊C8C22×C3711yescharacteristic, complemented
402#399C22×C3712yescomplemented
403#397C22×C3712yescomplemented
404#394—22no—
405#390—21no—
406#389—21no—
407#380C22×C3711yescharacteristic, complemented
408#328C22×C3712yescomplemented
409#327C22×C3712yescomplemented
410#327C22×C3712yescomplemented
411#327C22×C3712yescomplemented
412#323C22×C3712yescomplemented
413#323C22×C3712yescomplemented
414C37#1823611yescharacteristic, direct product factor, Sylow
415C2×#41D4×C3711yescharacteristic
416C22×D4—22no—
417C22×D4—21no—
418C22×D4—21no—
419C22×D4—22no—
420C22×D4D4×C3711yescharacteristic
421C22×D4D4×C3712yes—
422C22×D4D4×C3711yescharacteristic
423C23×C4C23×C3711yescharacteristic
424C2×M16—21no—
425C22×C8—21no—
426#127—22no—
427#127—21no—
428#126—22no—
429#126—22no—
430#125—21no—
431#124—22no—
432#123—22no—
433#123—21no—
434#123—22no—
435#123—22no—
436#123—22no—
437C22⋊Q8D4×C3711yescharacteristic
438C22⋊Q8C23×C3711yescharacteristic
439#121—22no—
440#121—21no—
441#121—21no—
442#121—22no—
443#121—22no—
444#121—22no—
445#121—22no—
446#121—21no—
447#121—21no—
448#121—21no—
449#121—21no—
450#121—21no—
451#121—21no—
452#121—22no—
453#121D4×C3712yes—
454#121D4×C3711yescharacteristic
455#121C23×C3712yes—
456#121C23×C3711yescharacteristic
457#120—22no—
458#120—22no—
459#120—22no—
460#120—21no—
461#120—22no—
462#120—22no—
463#120—22no—
464C4×D4—22no—
465C4×D4—21no—
466C4×D4—21no—
467C4×D4—21no—
468C4×D4—21no—
469C4×D4—22no—
470#117—21no—
471#117—21no—
472#117—21no—
473#117—21no—
474#117—21no—
475#117D4×C3711yescharacteristic
476C2×C4⋊C4—21no—
477C2×C4⋊C4—22no—
478C2×C4⋊C4D4×C3711yescharacteristic
479C2×C4⋊C4D4×C3711yescharacteristic
480C2×C4⋊C4C23×C3711yescharacteristic
481C2×C4⋊C4C23×C3711yescharacteristic
482C2×C22⋊C4—21no—
483C2×C22⋊C4—21no—
484C2×C22⋊C4—21no—
485C2×C22⋊C4—22no—
486C2×C22⋊C4—22no—
487C2×C22⋊C4C23×C3712yes—
488C2×C42—21no—
489#107—21no—
490#107—21no—
491#107—22no—
492#106—21no—
493#106—21no—
494#106—22no—
495#103—21no—
496#103—21no—
497#102—21no—
498#102—21no—
499#102—22no—
500#102—22no—
501C22⋊C8—21no—
502C22⋊C8—21no—
503C22⋊C8C23×C3711yescharacteristic
504C22⋊C8C23×C3711yescharacteristic
505C22⋊C8C23×C3712yes—
506#95—22no—
507#95C23×C3712yes—
508C24—22no—
509C24—21no—
510C24C2×D4×C3712yes—
511C24C2×D4×C3711yescharacteristic
512#41—42no—
513C2×Q8C2×D4×C3711yescharacteristic
514C2×D4—22no—
515C2×D4—21no—
516C2×D4—21no—
517C2×D4—22no—
518C2×D4—22no—
519C2×D4—22no—
520C2×D4—22no—
521C2×D4—22no—
522C2×D4—22no—
523C2×D4—21no—
524C2×D4—22no—
525C2×D4—22no—
526C2×D4—21no—
527C2×D4—21no—
528C2×D4—21no—
529C2×D4—42no—
530C2×D4—42no—
531C2×D4—82no—
532C2×D4—82no—
533C2×D4—81no—
534C2×D4—81no—
535C2×D4—82no—
536C2×D4—82no—
537C2×D4—84no—
538C2×D4C2×D4×C3711yescharacteristic
539C2×D4C2×D4×C3712yes—
540C22×C4—22no—
541C22×C4—22no—
542C22×C4—21no—
543C22×C4—21no—
544C22×C4—21no—
545C22×C4—22no—
546C22×C4—21no—
547C22×C4—42no—
548C22×C4C2×D4×C3711yescharacteristic
549C22×C4C2×D4×C3711yescharacteristic
550C22×C4C2×D4×C3711yescharacteristic
551C22×C4C2×D4×C3712yes—
552C22×C4C2×D4×C3711yescharacteristic
553C22×C4C2×D4×C3711yescharacteristic
554C22×C4C24×C3711yescharacteristic
555M16—42no—
556C2×C8—22no—
557C2×C8—21no—
558C2×C8—21no—
559C2×C8—42no—
560C4⋊C4—22no—
561C4⋊C4—22no—
562C4⋊C4—21no—
563C4⋊C4—21no—
564C4⋊C4—21no—
565C4⋊C4—21no—
566C4⋊C4—21no—
567C4⋊C4—21no—
568C4⋊C4—21no—
569C4⋊C4—21no—
570C4⋊C4—21no—
571C4⋊C4—42no—
572C4⋊C4—82no—
573C4⋊C4C2×D4×C3712yes—
574C4⋊C4C2×D4×C3711yescharacteristic
575C4⋊C4C2×D4×C3711yescharacteristic
576C22⋊C4—22no—
577C22⋊C4—22no—
578C22⋊C4—22no—
579C22⋊C4—22no—
580C22⋊C4—22no—
581C22⋊C4—21no—
582C22⋊C4—21no—
583C22⋊C4—21no—
584C22⋊C4—22no—
585C22⋊C4—21no—
586C22⋊C4—22no—
587C22⋊C4—22no—
588C22⋊C4—22no—
589C22⋊C4—21no—
590C22⋊C4—41no—
591C22⋊C4—41no—
592C22⋊C4—81no—
593C22⋊C4—82no—
594C22⋊C4—82no—
595C42—22no—
596C42—21no—
597C42—41no—
598C42—41no—
599C23—21no—
600C23—21no—
601C23—22no—
602C23—22no—
603C23—21no—
604C23—22no—
605C23—22no—
606C23—41no—
607C23—41no—
608C23—42no—
609C23—42no—
610C23—42no—
611C23—81no—
612C23—81no—
613C23—82no—
614C23—82no—
615C23—82no—
616C23#120×C3711yescharacteristic
617C23#120×C3711yescharacteristic
618C23C22×D4×C3711yescharacteristic
619Q8—41no—
620D4—42no—
621D4—41no—
622D4—44no—
623D4—42no—
624D4—42no—
625D4—41no—
626D4—42no—
627D4—41no—
628D4—42no—
629D4—42no—
630D4—81no—
631D4—82no—
632D4—82no—
633D4—81no—
634D4—82no—
635D4—82no—
636D4—82no—
637D4—82no—
638D4—82no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—21no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—21no—
646C2×C4—21no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—42no—
651C2×C4—42no—
652C2×C4—41no—
653C2×C4—42no—
654C2×C4—42no—
655C2×C4—41no—
656C2×C4—41no—
657C2×C4—41no—
658C2×C4—42no—
659C2×C4—41no—
660C2×C4—41no—
661C2×C4—81no—
662C2×C4—82no—
663C2×C4—82no—
664C2×C4#120×C3711yescharacteristic
665C2×C4#120×C3711yescharacteristic
666C2×C4C22×D4×C3711yescharacteristic
667C2×C4C22×D4×C3711yescharacteristic
668C8—41no—
669C8—41no—
670C8—42no—
671C22—21no—
672C22—21no—
673C22—21no—
674C22—21no—
675C22—21no—
676C22—21no—
677C22—21no—
678C22—21no—
679C22—42no—
680C22—42no—
681C22—41no—
682C22—42no—
683C22—42no—
684C22—41no—
685C22—41no—
686C22—42no—
687C22—42no—
688C22—81no—
689C22—81no—
690C22—82no—
691C22—82no—
692C22—162no—
693C22—164no—
694C22C2×#120×C3711yescharacteristic
695C22C37×#57611yescharacteristic
696C22C37×#57711yescharacteristic
697C4—21no—
698C4—21no—
699C4—21no—
700C4—42no—
701C4—41no—
702C4—42no—
703C4—41no—
704C4—41no—
705C4—82no—
706C4—81no—
707C4—81no—
708C4C37×#45812yes—
709C2—21no—
710C2—21no—
711C2—41no—
712C2—41no—
713C2—82no—
714C2—82no—
715C2—81no—
716C2C37×#301211yescharacteristic
717C2C37×#301911yescharacteristic
718C2C2×C37×#45811yescharacteristic
subgroupG/H
center, socleC22×C37C2×#120
commutator, Frattini, cosocleC22×C4C24×C37
prime radicalC37×#3537C2
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
2. C37×#3094C2semidirect
3. C37×#3091C2semidirect
4. C37×#2624C2semidirect
5. C37×#1618C2semidirect
6. C37×#1613C2semidirect
7. C37×#1612C2semidirect
8. C37×#1607C2semidirect
9. C37×#1519C2semidirect
10. C37×#1513C2semidirect
11. C37×#1471C2semidirect
27. C2×#117×C37C22semidirect
29. C37×#484C22semidirect
30. C37×#483C22semidirect
33. C37×#481C22semidirect
34. C37×#481C22semidirect
35. C37×#480C22semidirect
36. C37×#480C22semidirect
41. C37×#407C22semidirect
42. C2×C22⋊C8×C37C22semidirect
43. C37×#399C22semidirect
44. C37×#397C22semidirect
48. C37×#380C22semidirect
49. C37×#328C22semidirect
50. C37×#327C22semidirect
51. C37×#327C22semidirect
52. C37×#327C22semidirect
53. C37×#323C22semidirect
54. C37×#323C22semidirect
311. #18236C37direct (N × H)
351. #3094C2×C37semidirect
352. #3091C2×C37semidirect
353. #2624C2×C37semidirect
354. #1618C2×C37semidirect
355. #1613C2×C37semidirect
356. #1612C2×C37semidirect
357. #1607C2×C37semidirect
358. #1519C2×C37semidirect
359. #1513C2×C37semidirect
360. #1471C2×C37semidirect
386. C2×#117C22×C37semidirect
388. #484C22×C37semidirect
389. #483C22×C37semidirect
392. #481C22×C37semidirect
393. #481C22×C37semidirect
394. #480C22×C37semidirect
395. #480C22×C37semidirect
400. #407C22×C37semidirect
401. C2×C22⋊C8C22×C37semidirect
402. #399C22×C37semidirect
403. #397C22×C37semidirect
407. #380C22×C37semidirect
408. #328C22×C37semidirect
409. #327C22×C37semidirect
410. #327C22×C37semidirect
411. #327C22×C37semidirect
412. #323C22×C37semidirect
413. #323C22×C37semidirect
414. C37#18236direct (N × H)

Maximal subgroups

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

subgroupindex
C37×#35372
C37×#30942
C37×#30912
C37×#26242
C37×#16182
C37×#16132
C37×#16122
C37×#16072
C37×#15192
C37×#15132
C37×#14712
#1823637