Finite Group Databasebeta

← C37×#33572 #22654825

Subgroups — C37×#33572 #22654825

Order 9472.

1108 conjugacy classes of subgroups.

The subgroup lattice has 742 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C37×#3551C211yesmaximal, characteristic, complemented
2C37×#3022C211yesmaximal, characteristic, complemented
3C37×#3021C211yesmaximal, characteristic, complemented
4C37×#3018C211yesmaximal, characteristic, complemented
5C37×#2204C214yesmaximal, complemented
6C37×#2203C214yesmaximal, complemented
7C37×#2135C211yesmaximal, characteristic, complemented
8C37×#2134C211yesmaximal, characteristic, complemented
9C37×#2132C211yesmaximal, characteristic, complemented
10C37×#585C2211yescharacteristic
11C37×#575—21no—
12C2×#137×C37—21no—
13C2×AGL(1,ℤ/8)×C37—21no—
14C37×#563C2212yescomplemented
15C37×#560—21no—
16C37×#555C2212yescomplemented
17C37×#553—21no—
18C37×#552—21no—
19C37×#551—21no—
20C37×#548—21no—
21C37×#546—21no—
22C37×#540—22no—
23C37×#538—22no—
24C37×#537—21no—
25C37×#536C2211yescharacteristic
26C37×#535C2211yescharacteristic
27C37×#532C2211yescharacteristic
28C37×#529—21no—
29C37×#456C2212yescomplemented
30C37×#456C2214yescomplemented
31C37×#455—21no—
32C37×#455—22no—
33C37×#454C2214yes—
34C37×#454C2212yescomplemented
35C37×#453—21no—
36C37×#453—22no—
37C37×#421—21no—
38C37×#421—21no—
39C2×#104×C37—21no—
40C37×#413C2211yescharacteristic
41C37×#413C2211yescharacteristic
42C37×#413C2211yescharacteristic
43C37×#356C2212yescomplemented
44C37×#356C2214yescomplemented
45C37×#355C2212yescomplemented
46C37×#355C2214yescomplemented
472−1+4×C37—41no—
482−1+4×C37C2312yes—
49H(5,𝔽2)×C37—21no—
50H(5,𝔽2)×C37—21no—
51H(5,𝔽2)×C37—21no—
52H(5,𝔽2)×C37—41no—
53C2×#41×C37—21no—
54C2×#41×C37—21no—
55C2×#41×C37—21no—
56C2×#41×C37—21no—
57C2×#41×C37—42no—
58C2×#41×C37D411yescharacteristic
59C2×#41×C37C2311yescharacteristic
60C22×Q8×C37D411yescharacteristic
61C22×D4×C37D411yescharacteristic
62#137×C37—24no—
63#137×C37—22no—
64#137×C37—41no—
65#137×C37—42no—
66AGL(1,ℤ/8)×C37—24no—
67AGL(1,ℤ/8)×C37—22no—
68AGL(1,ℤ/8)×C37—41no—
69AGL(1,ℤ/8)×C37—42no—
70#135×C37—42no—
71C2×Q16×C37—41no—
72C2×SD16×C37—41no—
73C2×SD16×C37—41no—
74C2×D8×C37—41no—
75C2×M16×C37—21no—
76C2×M16×C37—21no—
77C2×M16×C37—21no—
78C4⋊Q8×C37C2311yescharacteristic
79C4⋊Q8×C37C2312yes—
80#127×C37D411yescharacteristic
81#127×C37D412yes—
82#126×C37—22no—
83#126×C37—22no—
84#126×C37—22no—
85#125×C37—21no—
86#125×C37—22no—
87#124×C37—21no—
88#124×C37—22no—
89#124×C37D411yescharacteristic
90#124×C37D412yes—
91#124×C37C2311yescharacteristic
92#124×C37C2312yes—
93#123×C37—22no—
94#123×C37—22no—
95#123×C37—22no—
96#123×C37—21no—
97#123×C37—21no—
98#123×C37—22no—
99C22⋊Q8×C37—21no—
100C22⋊Q8×C37—22no—
101C22⋊Q8×C37—22no—
102C22⋊Q8×C37—21no—
103C22⋊Q8×C37—21no—
104#121×C37—22no—
105#121×C37—22no—
106#121×C37—21no—
107#121×C37—22no—
108#121×C37—22no—
109#121×C37—21no—
110#121×C37—21no—
111#121×C37—22no—
112#121×C37—22no—
113#121×C37—21no—
114#121×C37—21no—
115#120×C37—22no—
116#120×C37—21no—
117#120×C37—21no—
118C4×Q8×C37—21no—
119C4×D4×C37—22no—
120C4×D4×C37—21no—
121C4×D4×C37—22no—
122C4×D4×C37—21no—
123C4×D4×C37—21no—
124C4×D4×C37—22no—
125#117×C37—22no—
126#117×C37—22no—
127#117×C37D411yescharacteristic
128#117×C37D411yescharacteristic
129C2×C4⋊C4×C37—21no—
130C2×C22⋊C4×C37—22no—
131C2×C42×C37D411yescharacteristic
132#104×C37—22no—
133#104×C37—22no—
134#104×C37—24no—
135#104×C37—24no—
136#101×C37C2312yes—
137#101×C37C2312yes—
138#101×C37C2312yes—
139#100×C37—21no—
140#100×C37—21no—
141#100×C37—21no—
142C24×C37—21no—
143#41×C37—22no—
144#41×C37—22no—
145#41×C37—22no—
146#41×C37—22no—
147#41×C37—22no—
148#41×C37—22no—
149#41×C37—41no—
150#41×C37—41no—
151#41×C37—41no—
152#41×C37—41no—
153#41×C37—41no—
154#41×C37—41no—
155#41×C37—41no—
156#41×C37—42no—
157#41×C37—42no—
158#41×C37—42no—
159#41×C37—42no—
160#41×C37—41no—
161#41×C37—81no—
162#41×C37—81no—
163C2×Q8×C37—21no—
164C2×Q8×C37—21no—
165C2×Q8×C37—21no—
166C2×Q8×C37—21no—
167C2×Q8×C37—41no—
168C2×Q8×C37—41no—
169C2×Q8×C37—42no—
170C2×Q8×C37C2×D411yescharacteristic
171C2×Q8×C37C2×D412yes—
172C2×Q8×C37C2411yescharacteristic
173C2×D4×C37—21no—
174C2×D4×C37—21no—
175C2×D4×C37—21no—
176C2×D4×C37—22no—
177C2×D4×C37—22no—
178C2×D4×C37—21no—
179C2×D4×C37—22no—
180C2×D4×C37—22no—
181C2×D4×C37—21no—
182C2×D4×C37—21no—
183C2×D4×C37—21no—
184C2×D4×C37—41no—
185C2×D4×C37—41no—
186C2×D4×C37—42no—
187C2×D4×C37—42no—
188C2×D4×C37—42no—
189C2×D4×C37—41no—
190C2×D4×C37—41no—
191C2×D4×C37—41no—
192C2×D4×C37C2×D411yescharacteristic
193C2×D4×C37C2×D412yes—
194C2×D4×C37C2×D411yescharacteristic
195C2×D4×C37C2×D411yescharacteristic
196C2×D4×C37C2×D411yescharacteristic
197C22×C4×C37—22no—
198C22×C4×C37—22no—
199C22×C4×C37—22no—
200C22×C4×C37—21no—
201C22×C4×C37—21no—
202C22×C4×C37—21no—
203C22×C4×C37—41no—
204C22×C4×C37—41no—
205C22×C4×C37—41no—
206C22×C4×C37C2×D411yescharacteristic
207C22×C4×C37C2×D411yescharacteristic
208C22×C4×C37C2×D411yescharacteristic
209Q16×C37—44no—
210Q16×C37—42no—
211SD16×C37—44no—
212SD16×C37—42no—
213SD16×C37—44no—
214SD16×C37—42no—
215D8×C37—44no—
216D8×C37—42no—
217M16×C37—22no—
218M16×C37—22no—
219M16×C37—22no—
220M16×C37—41no—
221M16×C37—41no—
222M16×C37—41no—
223C2×C8×C37—41no—
224C2×C8×C37—41no—
225C2×C8×C37—41no—
226C4⋊C4×C37—22no—
227C4⋊C4×C37—22no—
228C4⋊C4×C37—22no—
229C4⋊C4×C37—22no—
230C4⋊C4×C37—22no—
231C4⋊C4×C37—21no—
232C4⋊C4×C37—21no—
233C4⋊C4×C37—22no—
234C4⋊C4×C37—22no—
235C4⋊C4×C37—21no—
236C4⋊C4×C37—21no—
237C22⋊C4×C37—22no—
238C22⋊C4×C37—22no—
239C22⋊C4×C37—22no—
240C22⋊C4×C37—22no—
241C22⋊C4×C37—22no—
242C22⋊C4×C37—21no—
243C22⋊C4×C37—22no—
244C22⋊C4×C37—21no—
245C22⋊C4×C37—21no—
246C22⋊C4×C37—21no—
247C22⋊C4×C37—22no—
248C22⋊C4×C37—21no—
249C22⋊C4×C37—22no—
250C22⋊C4×C37—21no—
251C22⋊C4×C37—22no—
252C42×C37—22no—
253C42×C37—21no—
254C42×C37C2×D411yescharacteristic
255C42×C37C2×D411yescharacteristic
256C42×C37C2×D412yes—
257C42×C37C2×D412yes—
258C23×C37—22no—
259C23×C37—21no—
260C23×C37—41no—
261C23×C37—41no—
262C23×C37—41no—
263C23×C37—81no—
264C23×C37—82no—
265C23×C37#12011yescharacteristic
266C23×C37#12011yescharacteristic
267C23×C37#12011yescharacteristic
268Q8×C37—22no—
269Q8×C37—22no—
270Q8×C37—22no—
271Q8×C37—41no—
272Q8×C37—42no—
273Q8×C37—41no—
274Q8×C37—41no—
275Q8×C37—41no—
276Q8×C37—41no—
277D4×C37—22no—
278D4×C37—22no—
279D4×C37—22no—
280D4×C37—41no—
281D4×C37—41no—
282D4×C37—41no—
283D4×C37—42no—
284D4×C37—41no—
285D4×C37—42no—
286D4×C37—42no—
287D4×C37—42no—
288D4×C37—42no—
289D4×C37—41no—
290D4×C37—41no—
291D4×C37—41no—
292D4×C37—81no—
293D4×C37—82no—
294D4×C37—82no—
295D4×C37—82no—
296D4×C37—81no—
297D4×C37—81no—
298D4×C37—82no—
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—22no—
307C2×C4×C37—21no—
308C2×C4×C37—22no—
309C2×C4×C37—22no—
310C2×C4×C37—21no—
311C2×C4×C37—42no—
312C2×C4×C37—42no—
313C2×C4×C37—42no—
314C2×C4×C37—41no—
315C2×C4×C37—41no—
316C2×C4×C37—41no—
317C2×C4×C37—41no—
318C2×C4×C37—41no—
319C2×C4×C37—42no—
320C2×C4×C37—81no—
321C2×C4×C37—82no—
322C2×C4×C37—81no—
323C2×C4×C37—82no—
324C2×C4×C37—82no—
325C2×C4×C37#12011yescharacteristic
326C2×C4×C37C22×D411yescharacteristic
327C2×C4×C37C22×D411yescharacteristic
328C2×C4×C37C22×D411yescharacteristic
329C8×C37—42no—
330C8×C37—42no—
331C8×C37—42no—
332#33572C3711yesmaximal, characteristic, direct product factor, Sylow
333C22×C37—21no—
334C22×C37—21no—
335C22×C37—21no—
336C22×C37—41no—
337C22×C37—41no—
338C22×C37—41no—
339C22×C37—41no—
340C22×C37—42no—
341C22×C37—41no—
342C22×C37—42no—
343C22×C37—42no—
344C22×C37—41no—
345C22×C37—42no—
346C22×C37—161no—
347C22×C37—161no—
348C22×C37—161no—
349C22×C37—162no—
350C22×C37C2×#12011yescharacteristic
351C4×C37—21no—
352C4×C37—21no—
353C4×C37—21no—
354C4×C37—41no—
355C4×C37—42no—
356C4×C37—42no—
357C4×C37—41no—
358C4×C37—41no—
359C4×C37—42no—
360C4×C37—42no—
361C4×C37B(4,𝔽2)11yescharacteristic
362C4×C37B(4,𝔽2)11yescharacteristic
363#3551C2×C3711yescharacteristic, complemented
364#3022C2×C3711yescharacteristic, complemented
365#3021C2×C3711yescharacteristic, complemented
366#3018C2×C3711yescharacteristic, complemented
367#2204C2×C3714yescomplemented
368#2203C2×C3714yescomplemented
369#2135C2×C3711yescharacteristic, complemented
370#2134C2×C3711yescharacteristic, complemented
371#2132C2×C3711yescharacteristic, complemented
372C2×C37—21no—
373C2×C37—41no—
374C2×C37—41no—
375C2×C37—41no—
376C2×C37—81no—
377C2×C37—82no—
378C2×C37—82no—
379C2×C37C2×B(4,𝔽2)11yescharacteristic
380#585C22×C3711yescharacteristic
381#575—21no—
382C2×#137—21no—
383C2×AGL(1,ℤ/8)—21no—
384#563C22×C3712yescomplemented
385#560—21no—
386#555C22×C3712yescomplemented
387#553—21no—
388#552—21no—
389#551—21no—
390#548—21no—
391#546—21no—
392#540—22no—
393#538—22no—
394#537—21no—
395#536C22×C3711yescharacteristic
396#535C22×C3711yescharacteristic
397#532C22×C3711yescharacteristic
398#529—21no—
399#456C22×C3712yescomplemented
400#456C22×C3714yescomplemented
401#455—21no—
402#455—22no—
403#454C22×C3714yes—
404#454C22×C3712yescomplemented
405#453—21no—
406#453—22no—
407#421—21no—
408#421—21no—
409C2×#104—21no—
410#413C22×C3711yescharacteristic
411#413C22×C3711yescharacteristic
412#413C22×C3711yescharacteristic
413#356C22×C3712yescomplemented
414#356C22×C3714yescomplemented
415#355C22×C3712yescomplemented
416#355C22×C3714yescomplemented
417C37#3357211yescharacteristic, direct product factor, Sylow
4182−1+4—41no—
4192−1+4C23×C3712yes—
420H(5,𝔽2)—21no—
421H(5,𝔽2)—21no—
422H(5,𝔽2)—21no—
423H(5,𝔽2)—41no—
424C2×#41—21no—
425C2×#41—21no—
426C2×#41—21no—
427C2×#41—21no—
428C2×#41—42no—
429C2×#41D4×C3711yescharacteristic
430C2×#41C23×C3711yescharacteristic
431C22×Q8D4×C3711yescharacteristic
432C22×D4D4×C3711yescharacteristic
433#137—24no—
434#137—22no—
435#137—41no—
436#137—42no—
437AGL(1,ℤ/8)—24no—
438AGL(1,ℤ/8)—22no—
439AGL(1,ℤ/8)—41no—
440AGL(1,ℤ/8)—42no—
441#135—42no—
442C2×Q16—41no—
443C2×SD16—41no—
444C2×SD16—41no—
445C2×D8—41no—
446C2×M16—21no—
447C2×M16—21no—
448C2×M16—21no—
449C4⋊Q8C23×C3711yescharacteristic
450C4⋊Q8C23×C3712yes—
451#127D4×C3711yescharacteristic
452#127D4×C3712yes—
453#126—22no—
454#126—22no—
455#126—22no—
456#125—21no—
457#125—22no—
458#124—21no—
459#124—22no—
460#124D4×C3711yescharacteristic
461#124D4×C3712yes—
462#124C23×C3711yescharacteristic
463#124C23×C3712yes—
464#123—22no—
465#123—22no—
466#123—22no—
467#123—21no—
468#123—21no—
469#123—22no—
470C22⋊Q8—21no—
471C22⋊Q8—22no—
472C22⋊Q8—22no—
473C22⋊Q8—21no—
474C22⋊Q8—21no—
475#121—22no—
476#121—22no—
477#121—21no—
478#121—22no—
479#121—22no—
480#121—21no—
481#121—21no—
482#121—22no—
483#121—22no—
484#121—21no—
485#121—21no—
486#120—22no—
487#120—21no—
488#120—21no—
489C4×Q8—21no—
490C4×D4—22no—
491C4×D4—21no—
492C4×D4—22no—
493C4×D4—21no—
494C4×D4—21no—
495C4×D4—22no—
496#117—22no—
497#117—22no—
498#117D4×C3711yescharacteristic
499#117D4×C3711yescharacteristic
500C2×C4⋊C4—21no—
501C2×C22⋊C4—22no—
502C2×C42D4×C3711yescharacteristic
503#104—22no—
504#104—22no—
505#104—24no—
506#104—24no—
507#101C23×C3712yes—
508#101C23×C3712yes—
509#101C23×C3712yes—
510#100—21no—
511#100—21no—
512#100—21no—
513C24—21no—
514#41—22no—
515#41—22no—
516#41—22no—
517#41—22no—
518#41—22no—
519#41—22no—
520#41—41no—
521#41—41no—
522#41—41no—
523#41—41no—
524#41—41no—
525#41—41no—
526#41—41no—
527#41—42no—
528#41—42no—
529#41—42no—
530#41—42no—
531#41—41no—
532#41—81no—
533#41—81no—
534C2×Q8—21no—
535C2×Q8—21no—
536C2×Q8—21no—
537C2×Q8—21no—
538C2×Q8—41no—
539C2×Q8—41no—
540C2×Q8—42no—
541C2×Q8C2×D4×C3711yescharacteristic
542C2×Q8C2×D4×C3712yes—
543C2×Q8C24×C3711yescharacteristic
544C2×D4—21no—
545C2×D4—21no—
546C2×D4—21no—
547C2×D4—22no—
548C2×D4—22no—
549C2×D4—21no—
550C2×D4—22no—
551C2×D4—22no—
552C2×D4—21no—
553C2×D4—21no—
554C2×D4—21no—
555C2×D4—41no—
556C2×D4—41no—
557C2×D4—42no—
558C2×D4—42no—
559C2×D4—42no—
560C2×D4—41no—
561C2×D4—41no—
562C2×D4—41no—
563C2×D4C2×D4×C3711yescharacteristic
564C2×D4C2×D4×C3712yes—
565C2×D4C2×D4×C3711yescharacteristic
566C2×D4C2×D4×C3711yescharacteristic
567C2×D4C2×D4×C3711yescharacteristic
568C22×C4—22no—
569C22×C4—22no—
570C22×C4—22no—
571C22×C4—21no—
572C22×C4—21no—
573C22×C4—21no—
574C22×C4—41no—
575C22×C4—41no—
576C22×C4—41no—
577C22×C4C2×D4×C3711yescharacteristic
578C22×C4C2×D4×C3711yescharacteristic
579C22×C4C2×D4×C3711yescharacteristic
580Q16—44no—
581Q16—42no—
582SD16—44no—
583SD16—42no—
584SD16—44no—
585SD16—42no—
586D8—44no—
587D8—42no—
588M16—22no—
589M16—22no—
590M16—22no—
591M16—41no—
592M16—41no—
593M16—41no—
594C2×C8—41no—
595C2×C8—41no—
596C2×C8—41no—
597C4⋊C4—22no—
598C4⋊C4—22no—
599C4⋊C4—22no—
600C4⋊C4—22no—
601C4⋊C4—22no—
602C4⋊C4—21no—
603C4⋊C4—21no—
604C4⋊C4—22no—
605C4⋊C4—22no—
606C4⋊C4—21no—
607C4⋊C4—21no—
608C22⋊C4—22no—
609C22⋊C4—22no—
610C22⋊C4—22no—
611C22⋊C4—22no—
612C22⋊C4—22no—
613C22⋊C4—21no—
614C22⋊C4—22no—
615C22⋊C4—21no—
616C22⋊C4—21no—
617C22⋊C4—21no—
618C22⋊C4—22no—
619C22⋊C4—21no—
620C22⋊C4—22no—
621C22⋊C4—21no—
622C22⋊C4—22no—
623C42—22no—
624C42—21no—
625C42C2×D4×C3711yescharacteristic
626C42C2×D4×C3711yescharacteristic
627C42C2×D4×C3712yes—
628C42C2×D4×C3712yes—
629C23—22no—
630C23—21no—
631C23—41no—
632C23—41no—
633C23—41no—
634C23—81no—
635C23—82no—
636C23#120×C3711yescharacteristic
637C23#120×C3711yescharacteristic
638C23#120×C3711yescharacteristic
639Q8—22no—
640Q8—22no—
641Q8—22no—
642Q8—41no—
643Q8—42no—
644Q8—41no—
645Q8—41no—
646Q8—41no—
647Q8—41no—
648D4—22no—
649D4—22no—
650D4—22no—
651D4—41no—
652D4—41no—
653D4—41no—
654D4—42no—
655D4—41no—
656D4—42no—
657D4—42no—
658D4—42no—
659D4—42no—
660D4—41no—
661D4—41no—
662D4—41no—
663D4—81no—
664D4—82no—
665D4—82no—
666D4—82no—
667D4—82no—
668D4—81no—
669D4—81no—
670C2×C4—21no—
671C2×C4—21no—
672C2×C4—21no—
673C2×C4—21no—
674C2×C4—21no—
675C2×C4—21no—
676C2×C4—21no—
677C2×C4—22no—
678C2×C4—21no—
679C2×C4—22no—
680C2×C4—22no—
681C2×C4—21no—
682C2×C4—42no—
683C2×C4—42no—
684C2×C4—42no—
685C2×C4—41no—
686C2×C4—41no—
687C2×C4—41no—
688C2×C4—41no—
689C2×C4—41no—
690C2×C4—42no—
691C2×C4—81no—
692C2×C4—82no—
693C2×C4—82no—
694C2×C4—81no—
695C2×C4—82no—
696C2×C4#120×C3711yescharacteristic
697C2×C4C22×D4×C3711yescharacteristic
698C2×C4C22×D4×C3711yescharacteristic
699C2×C4C22×D4×C3711yescharacteristic
700C8—42no—
701C8—42no—
702C8—42no—
703C22—21no—
704C22—21no—
705C22—21no—
706C22—41no—
707C22—41no—
708C22—41no—
709C22—41no—
710C22—42no—
711C22—41no—
712C22—42no—
713C22—42no—
714C22—41no—
715C22—42no—
716C22—161no—
717C22—161no—
718C22—161no—
719C22—162no—
720C22C2×#120×C3711yescharacteristic
721C4—21no—
722C4—21no—
723C4—21no—
724C4—41no—
725C4—42no—
726C4—42no—
727C4—41no—
728C4—41no—
729C4—42no—
730C4—42no—
731C4C37×B(4,𝔽2)11yescharacteristic
732C4C37×B(4,𝔽2)11yescharacteristic
733C2—21no—
734C2—41no—
735C2—41no—
736C2—41no—
737C2—82no—
738C2—81no—
739C2—82no—
740C2C2×C37×B(4,𝔽2)11yescharacteristic
subgroupG/H
center, socleC2×C37C2×B(4,𝔽2)
commutator, Frattini, cosocleC2×Q8C24×C37
LCSG ▷ C2×Q8 ▷ C22 ▷ C2 ▷ C1
UCSC1 ◁ C2×C37 ◁ C2×C4×C37 ◁ C2×#41×C37 ◁ G

Complements

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

NH ≅ G/Ntype
1. C37×#3551C2semidirect
2. C37×#3022C2semidirect
3. C37×#3021C2semidirect
4. C37×#3018C2semidirect
5. C37×#2204C2semidirect
6. C37×#2203C2semidirect
7. C37×#2135C2semidirect
8. C37×#2134C2semidirect
9. C37×#2132C2semidirect
14. C37×#563C22semidirect
16. C37×#555C22semidirect
29. C37×#456C22semidirect
30. C37×#456C22semidirect
34. C37×#454C22semidirect
43. C37×#356C22semidirect
44. C37×#356C22semidirect
45. C37×#355C22semidirect
46. C37×#355C22semidirect
332. #33572C37direct (N × H)
363. #3551C2×C37semidirect
364. #3022C2×C37semidirect
365. #3021C2×C37semidirect
366. #3018C2×C37semidirect
367. #2204C2×C37semidirect
368. #2203C2×C37semidirect
369. #2135C2×C37semidirect
370. #2134C2×C37semidirect
371. #2132C2×C37semidirect
384. #563C22×C37semidirect
386. #555C22×C37semidirect
399. #456C22×C37semidirect
400. #456C22×C37semidirect
404. #454C22×C37semidirect
413. #356C22×C37semidirect
414. #356C22×C37semidirect
415. #355C22×C37semidirect
416. #355C22×C37semidirect
417. C37#33572direct (N × H)

Maximal subgroups

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

subgroupindex
C37×#35512
C37×#30222
C37×#30212
C37×#30182
C37×#22042
C37×#22032
C37×#21352
C37×#21342
C37×#21322
#3357237