Finite Group Databasebeta

← C37×#18451 #22639704

Subgroups — C37×#18451 #22639704

Order 9472.

1038 conjugacy classes of subgroups.

The subgroup lattice has 710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C37×#3537C211yesmaximal, characteristic
2C37×#3196C211yesmaximal, characteristic, complemented
3C37×#3187C211yesmaximal, characteristic, complemented
4C37×#2816C211yesmaximal, characteristic, complemented
5C37×#1618C212yesmaximal, complemented
6C37×#1613C212yesmaximal, complemented
7C37×#1606C212yesmaximal, complemented
8C37×#1601C212yesmaximal, complemented
9C37×#1516C211yesmaximal, characteristic, complemented
10C37×#1510C211yesmaximal, 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×C22⋊Q8×C37C2211yescharacteristic, complemented
26C2×#121×C37C2211yescharacteristic
27C2×#121×C37C2211yescharacteristic
28C37×#485—21no—
29C37×#484C2211yescharacteristic, complemented
30C37×#483—21no—
31C37×#481C2211yescharacteristic, complemented
32C37×#481C2212yescomplemented
33C37×#470—21no—
34C37×#468—21no—
35C37×#465—22no—
36C37×#452—21no—
37C37×#451C2211yescharacteristic, complemented
38C37×#450—21no—
39C37×#448C2211yescharacteristic, complemented
40C37×#448C2212yescomplemented
41C37×#407C2211yescharacteristic, complemented
42C2×C22⋊C8×C37C2211yescharacteristic, complemented
43C37×#399C2212yescomplemented
44C37×#398—21no—
45C37×#394—21no—
46C37×#394—22no—
47C37×#393C2212yescomplemented
48C37×#381C2211yescharacteristic, complemented
49C37×#328C2212yescomplemented
50C37×#327C2212yescomplemented
51C37×#327C2212yescomplemented
52C37×#327C2212yescomplemented
53C37×#323C2212yescomplemented
54C37×#323C2212yescomplemented
55C2×#41×C37D411yescharacteristic
56C22×Q8×C37C2311yescharacteristic
57C22×D4×C37—22no—
58C22×D4×C37—21no—
59C22×D4×C37—21no—
60C22×D4×C37—22no—
61C22×D4×C37D412yes—
62C22×D4×C37D411yescharacteristic
63C22×D4×C37D411yescharacteristic
64C23×C4×C37C2311yescharacteristic
65C2×Q16×C37—21no—
66C2×SD16×C37—22no—
67C2×SD16×C37—21no—
68C2×M16×C37—21no—
69C22×C8×C37—21no—
70#127×C37—22no—
71#127×C37—21no—
72#126×C37—22no—
73#126×C37—22no—
74#125×C37—21no—
75#124×C37—22no—
76#123×C37—22no—
77#123×C37—21no—
78#123×C37—22no—
79#123×C37—22no—
80#123×C37—22no—
81C22⋊Q8×C37—21no—
82C22⋊Q8×C37—21no—
83C22⋊Q8×C37—21no—
84C22⋊Q8×C37—21no—
85C22⋊Q8×C37D411yescharacteristic
86C22⋊Q8×C37C2311yescharacteristic
87#121×C37—22no—
88#121×C37—21no—
89#121×C37—21no—
90#121×C37—22no—
91#121×C37—22no—
92#121×C37—22no—
93#121×C37—22no—
94#121×C37—21no—
95#121×C37—21no—
96#121×C37—21no—
97#121×C37—21no—
98#121×C37—21no—
99#121×C37—21no—
100#121×C37—22no—
101#121×C37D412yes—
102#121×C37D411yescharacteristic
103#121×C37C2312yes—
104#121×C37C2311yescharacteristic
105#120×C37—22no—
106#120×C37—22no—
107#120×C37—22no—
108#120×C37—21no—
109#120×C37—22no—
110#120×C37—22no—
111#120×C37—22no—
112C4×D4×C37—22no—
113C4×D4×C37—21no—
114C4×D4×C37—21no—
115C4×D4×C37—21no—
116C4×D4×C37—21no—
117C4×D4×C37—22no—
118#117×C37—21no—
119#117×C37D411yescharacteristic
120C2×C4⋊C4×C37—21no—
121C2×C4⋊C4×C37—22no—
122C2×C4⋊C4×C37D411yescharacteristic
123C2×C4⋊C4×C37D411yescharacteristic
124C2×C4⋊C4×C37C2311yescharacteristic
125C2×C22⋊C4×C37—21no—
126C2×C22⋊C4×C37—21no—
127C2×C22⋊C4×C37—21no—
128C2×C22⋊C4×C37—22no—
129C2×C22⋊C4×C37—22no—
130C2×C22⋊C4×C37C2312yes—
131#107×C37—21no—
132#106×C37—22no—
133#106×C37—21no—
134#103×C37—21no—
135#103×C37—22no—
136#103×C37—21no—
137#103×C37—21no—
138#102×C37—22no—
139#102×C37—21no—
140C22⋊C8×C37—21no—
141C22⋊C8×C37—21no—
142C22⋊C8×C37C2311yescharacteristic
143C22⋊C8×C37C2311yescharacteristic
144C22⋊C8×C37C2312yes—
145#95×C37—21no—
146#95×C37—22no—
147#95×C37C2312yes—
148C24×C37—22no—
149C24×C37—21no—
150C24×C37C2×D412yes—
151C24×C37C2×D411yescharacteristic
152#41×C37—81no—
153C2×Q8×C37—21no—
154C2×Q8×C37—21no—
155C2×Q8×C37—81no—
156C2×Q8×C37C2×D411yescharacteristic
157C2×D4×C37—22no—
158C2×D4×C37—21no—
159C2×D4×C37—21no—
160C2×D4×C37—22no—
161C2×D4×C37—22no—
162C2×D4×C37—22no—
163C2×D4×C37—22no—
164C2×D4×C37—22no—
165C2×D4×C37—22no—
166C2×D4×C37—21no—
167C2×D4×C37—22no—
168C2×D4×C37—22no—
169C2×D4×C37—21no—
170C2×D4×C37—21no—
171C2×D4×C37—21no—
172C2×D4×C37—81no—
173C2×D4×C37—82no—
174C2×D4×C37—81no—
175C2×D4×C37—82no—
176C2×D4×C37—82no—
177C2×D4×C37—84no—
178C2×D4×C37—84no—
179C2×D4×C37C2×D411yescharacteristic
180C2×D4×C37C2×D412yes—
181C22×C4×C37—22no—
182C22×C4×C37—22no—
183C22×C4×C37—21no—
184C22×C4×C37—21no—
185C22×C4×C37—22no—
186C22×C4×C37—21no—
187C22×C4×C37—21no—
188C22×C4×C37—81no—
189C22×C4×C37C2×D412yes—
190C22×C4×C37C2×D411yescharacteristic
191C22×C4×C37C2×D411yescharacteristic
192C22×C4×C37C2×D411yescharacteristic
193C22×C4×C37C2×D411yescharacteristic
194C22×C4×C37C2×D411yescharacteristic
195C22×C4×C37C2411yescharacteristic
196Q16×C37—81no—
197SD16×C37—82no—
198SD16×C37—81no—
199M16×C37—81no—
200C2×C8×C37—22no—
201C2×C8×C37—21no—
202C2×C8×C37—21no—
203C2×C8×C37—81no—
204C4⋊C4×C37—22no—
205C4⋊C4×C37—22no—
206C4⋊C4×C37—21no—
207C4⋊C4×C37—21no—
208C4⋊C4×C37—21no—
209C4⋊C4×C37—21no—
210C4⋊C4×C37—21no—
211C4⋊C4×C37—21no—
212C4⋊C4×C37—21no—
213C4⋊C4×C37—41no—
214C4⋊C4×C37—41no—
215C4⋊C4×C37—82no—
216C4⋊C4×C37C2×D412yes—
217C4⋊C4×C37C2×D411yescharacteristic
218C4⋊C4×C37C2×D411yescharacteristic
219C22⋊C4×C37—22no—
220C22⋊C4×C37—22no—
221C22⋊C4×C37—22no—
222C22⋊C4×C37—22no—
223C22⋊C4×C37—22no—
224C22⋊C4×C37—21no—
225C22⋊C4×C37—21no—
226C22⋊C4×C37—21no—
227C22⋊C4×C37—22no—
228C22⋊C4×C37—21no—
229C22⋊C4×C37—22no—
230C22⋊C4×C37—22no—
231C22⋊C4×C37—22no—
232C22⋊C4×C37—21no—
233C22⋊C4×C37—41no—
234C22⋊C4×C37—41no—
235C22⋊C4×C37—81no—
236C22⋊C4×C37—82no—
237C22⋊C4×C37—82no—
238C42×C37—22no—
239C42×C37—21no—
240C23×C37—22no—
241C23×C37—22no—
242C23×C37—22no—
243C23×C37—21no—
244C23×C37—24no—
245C23×C37—41no—
246C23×C37—41no—
247C23×C37—42no—
248C23×C37—42no—
249C23×C37—42no—
250C23×C37—81no—
251C23×C37—81no—
252C23×C37—82no—
253C23×C37—82no—
254C23×C37—82no—
255C23×C37#12011yescharacteristic
256C23×C37#12011yescharacteristic
257C23×C37C22×D411yescharacteristic
258Q8×C37—41no—
259Q8×C37—42no—
260Q8×C37—41no—
261Q8×C37—41no—
262D4×C37—42no—
263D4×C37—41no—
264D4×C37—42no—
265D4×C37—42no—
266D4×C37—44no—
267D4×C37—42no—
268D4×C37—44no—
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—21no—
280C2×C4×C37—22no—
281C2×C4×C37—22no—
282C2×C4×C37—21no—
283C2×C4×C37—21no—
284C2×C4×C37—41no—
285C2×C4×C37—41no—
286C2×C4×C37—41no—
287C2×C4×C37—41no—
288C2×C4×C37—41no—
289C2×C4×C37—41no—
290C2×C4×C37—42no—
291C2×C4×C37—42no—
292C2×C4×C37—42no—
293C2×C4×C37—41no—
294C2×C4×C37—42no—
295C2×C4×C37—42no—
296C2×C4×C37—41no—
297C2×C4×C37—41no—
298C2×C4×C37—41no—
299C2×C4×C37—42no—
300C2×C4×C37—81no—
301C2×C4×C37—82no—
302C2×C4×C37—82no—
303C2×C4×C37#12011yescharacteristic
304C2×C4×C37#12011yescharacteristic
305C2×C4×C37C22×D411yescharacteristic
306C2×C4×C37C22×D411yescharacteristic
307C8×C37—42no—
308C8×C37—41no—
309C8×C37—41no—
310#18451C3711yesmaximal, characteristic, direct product factor, Sylow
311C22×C37—21no—
312C22×C37—21no—
313C22×C37—21no—
314C22×C37—21no—
315C22×C37—21no—
316C22×C37—21no—
317C22×C37—21no—
318C22×C37—21no—
319C22×C37—42no—
320C22×C37—42no—
321C22×C37—41no—
322C22×C37—42no—
323C22×C37—42no—
324C22×C37—41no—
325C22×C37—41no—
326C22×C37—42no—
327C22×C37—42no—
328C22×C37—82no—
329C22×C37—84no—
330C22×C37—162no—
331C22×C37—164no—
332C22×C37C2×#12011yescharacteristic
333C22×C37#57712yes—
334C4×C37—21no—
335C4×C37—21no—
336C4×C37—21no—
337C4×C37—21no—
338C4×C37—42no—
339C4×C37—41no—
340C4×C37—42no—
341C4×C37—41no—
342C4×C37—41no—
343C4×C37—82no—
344C4×C37—81no—
345C4×C37—81no—
346#3537C2×C3711yescharacteristic
347#3196C2×C3711yescharacteristic, complemented
348#3187C2×C3711yescharacteristic, complemented
349#2816C2×C3711yescharacteristic, complemented
350#1618C2×C3712yescomplemented
351#1613C2×C3712yescomplemented
352#1606C2×C3712yescomplemented
353#1601C2×C3712yescomplemented
354#1516C2×C3711yescharacteristic, complemented
355#1510C2×C3711yescharacteristic, complemented
356#1471C2×C3711yescharacteristic, complemented
357C2×C37—22no—
358C2×C37—41no—
359C2×C37—41no—
360C2×C37—82no—
361C2×C37—82no—
362C2×C37—81no—
363C2×C37#300911yescharacteristic
364C2×C37#301911yescharacteristic
365C2×C37#302611yescharacteristic
366#560—22no—
367#553—21no—
368#553—21no—
369D42—22no—
370D42—21no—
371D42—21no—
372#540—21no—
373#538—21no—
374#538C22×C3712yes—
375#535—21no—
376#534—21no—
377#534C22×C3712yes—
378#525C22×C3711yescharacteristic
379C2×C22⋊Q8C22×C3711yescharacteristic, complemented
380C2×#121C22×C3711yescharacteristic
381C2×#121C22×C3711yescharacteristic
382#485—21no—
383#484C22×C3711yescharacteristic, complemented
384#483—21no—
385#481C22×C3711yescharacteristic, complemented
386#481C22×C3712yescomplemented
387#470—21no—
388#468—21no—
389#465—22no—
390#452—21no—
391#451C22×C3711yescharacteristic, complemented
392#450—21no—
393#448C22×C3711yescharacteristic, complemented
394#448C22×C3712yescomplemented
395#407C22×C3711yescharacteristic, complemented
396C2×C22⋊C8C22×C3711yescharacteristic, complemented
397#399C22×C3712yescomplemented
398#398—21no—
399#394—21no—
400#394—22no—
401#393C22×C3712yescomplemented
402#381C22×C3711yescharacteristic, complemented
403#328C22×C3712yescomplemented
404#327C22×C3712yescomplemented
405#327C22×C3712yescomplemented
406#327C22×C3712yescomplemented
407#323C22×C3712yescomplemented
408#323C22×C3712yescomplemented
409C37#1845111yescharacteristic, direct product factor, Sylow
410C2×#41D4×C3711yescharacteristic
411C22×Q8C23×C3711yescharacteristic
412C22×D4—22no—
413C22×D4—21no—
414C22×D4—21no—
415C22×D4—22no—
416C22×D4D4×C3712yes—
417C22×D4D4×C3711yescharacteristic
418C22×D4D4×C3711yescharacteristic
419C23×C4C23×C3711yescharacteristic
420C2×Q16—21no—
421C2×SD16—22no—
422C2×SD16—21no—
423C2×M16—21no—
424C22×C8—21no—
425#127—22no—
426#127—21no—
427#126—22no—
428#126—22no—
429#125—21no—
430#124—22no—
431#123—22no—
432#123—21no—
433#123—22no—
434#123—22no—
435#123—22no—
436C22⋊Q8—21no—
437C22⋊Q8—21no—
438C22⋊Q8—21no—
439C22⋊Q8—21no—
440C22⋊Q8D4×C3711yescharacteristic
441C22⋊Q8C23×C3711yescharacteristic
442#121—22no—
443#121—21no—
444#121—21no—
445#121—22no—
446#121—22no—
447#121—22no—
448#121—22no—
449#121—21no—
450#121—21no—
451#121—21no—
452#121—21no—
453#121—21no—
454#121—21no—
455#121—22no—
456#121D4×C3712yes—
457#121D4×C3711yescharacteristic
458#121C23×C3712yes—
459#121C23×C3711yescharacteristic
460#120—22no—
461#120—22no—
462#120—22no—
463#120—21no—
464#120—22no—
465#120—22no—
466#120—22no—
467C4×D4—22no—
468C4×D4—21no—
469C4×D4—21no—
470C4×D4—21no—
471C4×D4—21no—
472C4×D4—22no—
473#117—21no—
474#117D4×C3711yescharacteristic
475C2×C4⋊C4—21no—
476C2×C4⋊C4—22no—
477C2×C4⋊C4D4×C3711yescharacteristic
478C2×C4⋊C4D4×C3711yescharacteristic
479C2×C4⋊C4C23×C3711yescharacteristic
480C2×C22⋊C4—21no—
481C2×C22⋊C4—21no—
482C2×C22⋊C4—21no—
483C2×C22⋊C4—22no—
484C2×C22⋊C4—22no—
485C2×C22⋊C4C23×C3712yes—
486#107—21no—
487#106—22no—
488#106—21no—
489#103—21no—
490#103—22no—
491#103—21no—
492#103—21no—
493#102—22no—
494#102—21no—
495C22⋊C8—21no—
496C22⋊C8—21no—
497C22⋊C8C23×C3711yescharacteristic
498C22⋊C8C23×C3711yescharacteristic
499C22⋊C8C23×C3712yes—
500#95—21no—
501#95—22no—
502#95C23×C3712yes—
503C24—22no—
504C24—21no—
505C24C2×D4×C3712yes—
506C24C2×D4×C3711yescharacteristic
507#41—81no—
508C2×Q8—21no—
509C2×Q8—21no—
510C2×Q8—81no—
511C2×Q8C2×D4×C3711yescharacteristic
512C2×D4—22no—
513C2×D4—21no—
514C2×D4—21no—
515C2×D4—22no—
516C2×D4—22no—
517C2×D4—22no—
518C2×D4—22no—
519C2×D4—22no—
520C2×D4—22no—
521C2×D4—21no—
522C2×D4—22no—
523C2×D4—22no—
524C2×D4—21no—
525C2×D4—21no—
526C2×D4—21no—
527C2×D4—81no—
528C2×D4—82no—
529C2×D4—81no—
530C2×D4—82no—
531C2×D4—82no—
532C2×D4—84no—
533C2×D4—84no—
534C2×D4C2×D4×C3711yescharacteristic
535C2×D4C2×D4×C3712yes—
536C22×C4—22no—
537C22×C4—22no—
538C22×C4—21no—
539C22×C4—21no—
540C22×C4—22no—
541C22×C4—21no—
542C22×C4—21no—
543C22×C4—81no—
544C22×C4C2×D4×C3712yes—
545C22×C4C2×D4×C3711yescharacteristic
546C22×C4C2×D4×C3711yescharacteristic
547C22×C4C2×D4×C3711yescharacteristic
548C22×C4C2×D4×C3711yescharacteristic
549C22×C4C2×D4×C3711yescharacteristic
550C22×C4C24×C3711yescharacteristic
551Q16—81no—
552SD16—82no—
553SD16—81no—
554M16—81no—
555C2×C8—22no—
556C2×C8—21no—
557C2×C8—21no—
558C2×C8—81no—
559C4⋊C4—22no—
560C4⋊C4—22no—
561C4⋊C4—21no—
562C4⋊C4—21no—
563C4⋊C4—21no—
564C4⋊C4—21no—
565C4⋊C4—21no—
566C4⋊C4—21no—
567C4⋊C4—21no—
568C4⋊C4—41no—
569C4⋊C4—41no—
570C4⋊C4—82no—
571C4⋊C4C2×D4×C3712yes—
572C4⋊C4C2×D4×C3711yescharacteristic
573C4⋊C4C2×D4×C3711yescharacteristic
574C22⋊C4—22no—
575C22⋊C4—22no—
576C22⋊C4—22no—
577C22⋊C4—22no—
578C22⋊C4—22no—
579C22⋊C4—21no—
580C22⋊C4—21no—
581C22⋊C4—21no—
582C22⋊C4—22no—
583C22⋊C4—21no—
584C22⋊C4—22no—
585C22⋊C4—22no—
586C22⋊C4—22no—
587C22⋊C4—21no—
588C22⋊C4—41no—
589C22⋊C4—41no—
590C22⋊C4—81no—
591C22⋊C4—82no—
592C22⋊C4—82no—
593C42—22no—
594C42—21no—
595C23—22no—
596C23—22no—
597C23—22no—
598C23—21no—
599C23—24no—
600C23—41no—
601C23—41no—
602C23—42no—
603C23—42no—
604C23—42no—
605C23—81no—
606C23—81no—
607C23—82no—
608C23—82no—
609C23—82no—
610C23#120×C3711yescharacteristic
611C23#120×C3711yescharacteristic
612C23C22×D4×C3711yescharacteristic
613Q8—41no—
614Q8—42no—
615Q8—41no—
616Q8—41no—
617D4—42no—
618D4—41no—
619D4—42no—
620D4—42no—
621D4—44no—
622D4—42no—
623D4—44no—
624D4—42no—
625D4—81no—
626D4—82no—
627D4—82no—
628D4—81no—
629D4—82no—
630D4—82no—
631D4—82no—
632D4—82no—
633D4—82no—
634C2×C4—21no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—21no—
638C2×C4—21no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—42no—
646C2×C4—42no—
647C2×C4—42no—
648C2×C4—41no—
649C2×C4—42no—
650C2×C4—42no—
651C2×C4—41no—
652C2×C4—41no—
653C2×C4—41no—
654C2×C4—42no—
655C2×C4—81no—
656C2×C4—82no—
657C2×C4—82no—
658C2×C4#120×C3711yescharacteristic
659C2×C4#120×C3711yescharacteristic
660C2×C4C22×D4×C3711yescharacteristic
661C2×C4C22×D4×C3711yescharacteristic
662C8—42no—
663C8—41no—
664C8—41no—
665C22—21no—
666C22—21no—
667C22—21no—
668C22—21no—
669C22—21no—
670C22—21no—
671C22—21no—
672C22—21no—
673C22—42no—
674C22—42no—
675C22—41no—
676C22—42no—
677C22—42no—
678C22—41no—
679C22—41no—
680C22—42no—
681C22—42no—
682C22—82no—
683C22—84no—
684C22—162no—
685C22—164no—
686C22C2×#120×C3711yescharacteristic
687C22C37×#57712yes—
688C4—21no—
689C4—21no—
690C4—21no—
691C4—21no—
692C4—42no—
693C4—41no—
694C4—42no—
695C4—41no—
696C4—41no—
697C4—82no—
698C4—81no—
699C4—81no—
700C2—22no—
701C2—41no—
702C2—41no—
703C2—82no—
704C2—82no—
705C2—81no—
706C2C37×#300911yescharacteristic
707C2C37×#301911yescharacteristic
708C2C37×#302611yescharacteristic
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×#3196C2semidirect
3. C37×#3187C2semidirect
4. C37×#2816C2semidirect
5. C37×#1618C2semidirect
6. C37×#1613C2semidirect
7. C37×#1606C2semidirect
8. C37×#1601C2semidirect
9. C37×#1516C2semidirect
10. C37×#1510C2semidirect
11. C37×#1471C2semidirect
25. C2×C22⋊Q8×C37C22semidirect
29. C37×#484C22semidirect
31. C37×#481C22semidirect
32. C37×#481C22semidirect
37. C37×#451C22semidirect
39. C37×#448C22semidirect
40. C37×#448C22semidirect
41. C37×#407C22semidirect
42. C2×C22⋊C8×C37C22semidirect
43. C37×#399C22semidirect
47. C37×#393C22semidirect
48. C37×#381C22semidirect
49. C37×#328C22semidirect
50. C37×#327C22semidirect
51. C37×#327C22semidirect
52. C37×#327C22semidirect
53. C37×#323C22semidirect
54. C37×#323C22semidirect
310. #18451C37direct (N × H)
347. #3196C2×C37semidirect
348. #3187C2×C37semidirect
349. #2816C2×C37semidirect
350. #1618C2×C37semidirect
351. #1613C2×C37semidirect
352. #1606C2×C37semidirect
353. #1601C2×C37semidirect
354. #1516C2×C37semidirect
355. #1510C2×C37semidirect
356. #1471C2×C37semidirect
379. C2×C22⋊Q8C22×C37semidirect
383. #484C22×C37semidirect
385. #481C22×C37semidirect
386. #481C22×C37semidirect
391. #451C22×C37semidirect
393. #448C22×C37semidirect
394. #448C22×C37semidirect
395. #407C22×C37semidirect
396. C2×C22⋊C8C22×C37semidirect
397. #399C22×C37semidirect
401. #393C22×C37semidirect
402. #381C22×C37semidirect
403. #328C22×C37semidirect
404. #327C22×C37semidirect
405. #327C22×C37semidirect
406. #327C22×C37semidirect
407. #323C22×C37semidirect
408. #323C22×C37semidirect
409. C37#18451direct (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×#31962
C37×#31872
C37×#28162
C37×#16182
C37×#16132
C37×#16062
C37×#16012
C37×#15162
C37×#15102
C37×#14712
#1845137