Finite Group Databasebeta

← C37×#25197 #22646450

Subgroups — C37×#25197 #22646450

Order 9472.

968 conjugacy classes of subgroups.

The subgroup lattice has 726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C37×#3068C211yesmaximal, characteristic, complemented
2C37×#3068C211yesmaximal, characteristic, complemented
3C37×#3020C211yesmaximal, characteristic, complemented
4C2×C37×#454C211yesmaximal, characteristic, complemented
5C37×#2956C211yesmaximal, characteristic, complemented
6C37×#2889C211yesmaximal, characteristic, complemented
7C37×#2070C211yesmaximal, characteristic, complemented
8C37×#2050C211yesmaximal, characteristic, complemented
9C37×#2048C211yesmaximal, characteristic, complemented
10C37×#2003C211yesmaximal, characteristic, complemented
11C37×#1967C211yesmaximal, characteristic, complemented
12C37×#1932C211yesmaximal, characteristic, complemented
13C37×#1915C211yesmaximal, characteristic, complemented
14C37×#1903C211yesmaximal, characteristic, complemented
15C37×#1861C211yesmaximal, characteristic, complemented
16C2×2−1+4×C37C2211yescharacteristic
17C37×#575C2211yescharacteristic
18C37×#575C2211yescharacteristic
19C2×AGL(1,ℤ/8)×C37C2211yescharacteristic
20C2×AGL(1,ℤ/8)×C37C2211yescharacteristic
21C2×AGL(1,ℤ/8)×C37C2211yescharacteristic
22C37×#568C2211yescharacteristic
23C37×#568C2211yescharacteristic
24C37×#568C2211yescharacteristic
25C37×#536C2211yescharacteristic
26C2×#124×C37C2211yescharacteristic
27C37×#472—22no—
28C37×#472—22no—
29C37×#471—22no—
30C37×#471—22no—
31C37×#456—22no—
32C37×#454—22no—
33C37×#454—22no—
34C37×#454—22no—
35C37×#444—22no—
36C37×#443—22no—
37C37×#430C2211yescharacteristic
38C37×#430C2211yescharacteristic
39C37×#430C2211yescharacteristic
40C37×#423C2211yescharacteristic
41C37×#421C2211yescharacteristic
42C37×#421C2211yescharacteristic
43C2×#104×C37C2211yescharacteristic
44C2×#104×C37C2211yescharacteristic
45C2×#104×C37C2211yescharacteristic
46C37×#418C2211yescharacteristic
47C37×#413—22no—
48C37×#413C2211yescharacteristic
49C37×#413C2211yescharacteristic
50C37×#413C2211yescharacteristic
51C2×#101×C37—22no—
52C2×#101×C37C2211yescharacteristic
53C2×#101×C37C2211yescharacteristic
54C2×#101×C37C2211yescharacteristic
55C2×#101×C37C2211yescharacteristic
56C2×#100×C37C2211yescharacteristic
57C2×#100×C37C2211yescharacteristic
58C4×M16×C37C2211yescharacteristic
59C37×#344C2211yescharacteristic
60C37×#344C2211yescharacteristic
61C37×#339C2211yescharacteristic
62C37×#338C2211yescharacteristic
632−1+4×C37—22no—
642−1+4×C37—22no—
652−1+4×C37—41no—
662−1+4×C37—41no—
67C2×#41×C37—21no—
68C2×#41×C37—21no—
69C2×#41×C37—22no—
70C2×#41×C37C2311yescharacteristic
71C2×#41×C37C2311yescharacteristic
72C2×#41×C37C2311yescharacteristic
73C22×Q8×C37—21no—
74C22×Q8×C37—21no—
75C22×Q8×C37C2311yescharacteristic
76C22×D4×C37C2311yescharacteristic
77#137×C37—21no—
78#137×C37—21no—
79#137×C37—21no—
80#137×C37D412yes—
81AGL(1,ℤ/8)×C37—21no—
82AGL(1,ℤ/8)×C37—22no—
83AGL(1,ℤ/8)×C37—22no—
84AGL(1,ℤ/8)×C37—21no—
85AGL(1,ℤ/8)×C37—21no—
86AGL(1,ℤ/8)×C37—22no—
87AGL(1,ℤ/8)×C37—22no—
88AGL(1,ℤ/8)×C37—41no—
89AGL(1,ℤ/8)×C37—41no—
90AGL(1,ℤ/8)×C37D412yes—
91#135×C37—22no—
92#135×C37—41no—
93C2×SD16×C37—21no—
94C2×SD16×C37—21no—
95C2×SD16×C37—21no—
96C2×D8×C37—21no—
97C2×D8×C37—21no—
98C2×D8×C37—21no—
99#131×C37—22no—
100#131×C37—22no—
101#131×C37—22no—
102#131×C37—22no—
103#131×C37—41no—
104#131×C37—41no—
105C2×M16×C37—22no—
106C2×M16×C37—22no—
107C2×M16×C37—41no—
108C2×M16×C37C2311yescharacteristic
109C2×M16×C37C2311yescharacteristic
110C2×M16×C37C2311yescharacteristic
111C2×M16×C37C2311yescharacteristic
112C2×M16×C37C2311yescharacteristic
113C2×M16×C37C2311yescharacteristic
114C2×M16×C37C2311yescharacteristic
115C2×M16×C37C2311yescharacteristic
116C4⋊Q8×C37—21no—
117#124×C37—21no—
118#124×C37—21no—
119#124×C37—21no—
120#124×C37—41no—
121#123×C37—22no—
122C22⋊Q8×C37—41no—
123#117×C37C2311yescharacteristic
124C2×C22⋊C4×C37—22no—
125C2×C42×C37C2311yescharacteristic
126#108×C37—22no—
127#108×C37—22no—
128#108×C37—22no—
129C4⋊C8×C37—41no—
130#104×C37—22no—
131#104×C37—22no—
132#104×C37—21no—
133#104×C37—21no—
134#104×C37—21no—
135#104×C37—21no—
136#104×C37D412yes—
137#104×C37D412yes—
138#102×C37—41no—
139#101×C37—21no—
140#101×C37—21no—
141#101×C37—22no—
142#101×C37—22no—
143#101×C37—22no—
144#101×C37—22no—
145#101×C37D412yes—
146#100×C37—21no—
147#100×C37—21no—
148#100×C37—22no—
149#100×C37—22no—
150#100×C37D412yes—
151#97×C37—21no—
152C4×C8×C37—21no—
153C24×C37—21no—
154#41×C37—21no—
155#41×C37—21no—
156#41×C37—21no—
157#41×C37—21no—
158#41×C37—21no—
159#41×C37—21no—
160#41×C37—21no—
161#41×C37—21no—
162#41×C37—21no—
163#41×C37—21no—
164#41×C37—42no—
165#41×C37—42no—
166#41×C37—44no—
167#41×C37—44no—
168#41×C37—42no—
169#41×C37—42no—
170#41×C37C2×D412yes—
171#41×C37C2×D412yes—
172C2×Q8×C37—22no—
173C2×Q8×C37—21no—
174C2×Q8×C37—21no—
175C2×Q8×C37—21no—
176C2×Q8×C37—21no—
177C2×Q8×C37—21no—
178C2×Q8×C37—21no—
179C2×Q8×C37—42no—
180C2×Q8×C37—42no—
181C2×Q8×C37—42no—
182C2×Q8×C37—42no—
183C2×Q8×C37C2×D411yescharacteristic
184C2×Q8×C37C2×D411yescharacteristic
185C2×Q8×C37#4111yescharacteristic
186C2×D4×C37—21no—
187C2×D4×C37—22no—
188C2×D4×C37—21no—
189C2×D4×C37—21no—
190C2×D4×C37—21no—
191C2×D4×C37—21no—
192C2×D4×C37—21no—
193C2×D4×C37—21no—
194C2×D4×C37—21no—
195C2×D4×C37—21no—
196C2×D4×C37C2×D411yescharacteristic
197C2×D4×C37C2×D411yescharacteristic
198C2×D4×C37#4111yescharacteristic
199C22×C4×C37—21no—
200C22×C4×C37—22no—
201C22×C4×C37—22no—
202C22×C4×C37—21no—
203C22×C4×C37—21no—
204C22×C4×C37—21no—
205C22×C4×C37#4112yes—
206C22×C4×C37C2411yescharacteristic
207Q16×C37—22no—
208Q16×C37—41no—
209SD16×C37—22no—
210SD16×C37—22no—
211SD16×C37—42no—
212SD16×C37—42no—
213SD16×C37—41no—
214SD16×C37—41no—
215SD16×C37—42no—
216D8×C37—22no—
217D8×C37—42no—
218D8×C37—42no—
219D8×C37—41no—
220D8×C37—42no—
221M16×C37—21no—
222M16×C37—21no—
223M16×C37—21no—
224M16×C37—21no—
225M16×C37—21no—
226M16×C37—21no—
227M16×C37—21no—
228M16×C37—21no—
229M16×C37—21no—
230M16×C37—21no—
231M16×C37—21no—
232M16×C37—21no—
233M16×C37—42no—
234M16×C37—42no—
235M16×C37—42no—
236M16×C37C2×D412yes—
237M16×C37C2×D412yes—
238M16×C37C2×D412yes—
239M16×C37C2×D412yes—
240C2×C8×C37—21no—
241C2×C8×C37—21no—
242C2×C8×C37—21no—
243C2×C8×C37—21no—
244C2×C8×C37—21no—
245C2×C8×C37—21no—
246C2×C8×C37—21no—
247C2×C8×C37—21no—
248C2×C8×C37—42no—
249C2×C8×C37—42no—
250C2×C8×C37—42no—
251C4⋊C4×C37—21no—
252C4⋊C4×C37—42no—
253C22⋊C4×C37—21no—
254C22⋊C4×C37—42no—
255C22⋊C4×C37—42no—
256C22⋊C4×C37—42no—
257C42×C37—21no—
258C42×C37—21no—
259C42×C37C2×D411yescharacteristic
260C42×C37C2×D411yescharacteristic
261C23×C37—21no—
262C23×C37—21no—
263C23×C37—21no—
264C23×C37—41no—
265C23×C37—41no—
266C23×C37—41no—
267C23×C37—82no—
268C23×C37C2×#4111yescharacteristic
269Q8×C37—21no—
270Q8×C37—21no—
271Q8×C37—21no—
272Q8×C37—21no—
273Q8×C37—21no—
274Q8×C37—44no—
275Q8×C37—41no—
276Q8×C37—41no—
277Q8×C37—41no—
278Q8×C37—41no—
279Q8×C37#12112yes—
280D4×C37—22no—
281D4×C37—22no—
282D4×C37—21no—
283D4×C37—21no—
284D4×C37—21no—
285D4×C37—21no—
286D4×C37—21no—
287D4×C37—44no—
288D4×C37—41no—
289D4×C37—41no—
290D4×C37—41no—
291D4×C37—41no—
292D4×C37—41no—
293D4×C37—41no—
294D4×C37—41no—
295D4×C37—41no—
296D4×C37#12112yes—
297C2×C4×C37—21no—
298C2×C4×C37—22no—
299C2×C4×C37—22no—
300C2×C4×C37—21no—
301C2×C4×C37—22no—
302C2×C4×C37—21no—
303C2×C4×C37—21no—
304C2×C4×C37—22no—
305C2×C4×C37—22no—
306C2×C4×C37—21no—
307C2×C4×C37—44no—
308C2×C4×C37—44no—
309C2×C4×C37—41no—
310C2×C4×C37—41no—
311C2×C4×C37—41no—
312C2×C4×C37—41no—
313C2×C4×C37—41no—
314C2×C4×C37—81no—
315C2×C4×C37C22×D411yescharacteristic
316C2×C4×C37C22×D411yescharacteristic
317C2×C4×C37C22×D411yescharacteristic
318C2×C4×C37C2×#4111yescharacteristic
319C2×C4×C37H(5,𝔽2)11yescharacteristic
320C2×C4×C37H(5,𝔽2)11yescharacteristic
321C8×C37—22no—
322C8×C37—22no—
323C8×C37—22no—
324C8×C37—22no—
325C8×C37—41no—
326C8×C37—41no—
327C8×C37—41no—
328C8×C37—41no—
329#25197C3711yesmaximal, characteristic, direct product factor, Sylow
330C22×C37—22no—
331C22×C37—41no—
332C22×C37—41no—
333C22×C37—41no—
334C22×C37—81no—
335C22×C37—81no—
336C22×C37—81no—
337C22×C37—82no—
338C22×C37—81no—
339C22×C37—161no—
340C22×C37—161no—
341C22×C37#52511yescharacteristic
342C22×C37#54611yescharacteristic
343C22×C37#54611yescharacteristic
344C4×C37—22no—
345C4×C37—41no—
346C4×C37—41no—
347C4×C37—42no—
348C4×C37—41no—
349C4×C37—41no—
350C4×C37—81no—
351C4×C37C2×#12111yescharacteristic
352C4×C37#53811yescharacteristic
353C4×C37D4211yescharacteristic
354C4×C37D4211yescharacteristic
355#3068C2×C3711yescharacteristic, complemented
356#3068C2×C3711yescharacteristic, complemented
357#3020C2×C3711yescharacteristic, complemented
358C2×#454C2×C3711yescharacteristic, complemented
359#2956C2×C3711yescharacteristic, complemented
360#2889C2×C3711yescharacteristic, complemented
361#2070C2×C3711yescharacteristic, complemented
362#2050C2×C3711yescharacteristic, complemented
363#2048C2×C3711yescharacteristic, complemented
364#2003C2×C3711yescharacteristic, complemented
365#1967C2×C3711yescharacteristic, complemented
366#1932C2×C3711yescharacteristic, complemented
367#1915C2×C3711yescharacteristic, complemented
368#1903C2×C3711yescharacteristic, complemented
369#1861C2×C3711yescharacteristic, complemented
370C2×C37—21no—
371C2×C37—21no—
372C2×C37—21no—
373C2×C37—42no—
374C2×C37—81no—
375C2×C37—81no—
376C2×C37—161no—
377C2×C37#242411yescharacteristic
378C2×2−1+4C22×C3711yescharacteristic
379#575C22×C3711yescharacteristic
380#575C22×C3711yescharacteristic
381C2×AGL(1,ℤ/8)C22×C3711yescharacteristic
382C2×AGL(1,ℤ/8)C22×C3711yescharacteristic
383C2×AGL(1,ℤ/8)C22×C3711yescharacteristic
384#568C22×C3711yescharacteristic
385#568C22×C3711yescharacteristic
386#568C22×C3711yescharacteristic
387#536C22×C3711yescharacteristic
388C2×#124C22×C3711yescharacteristic
389#472—22no—
390#472—22no—
391#471—22no—
392#471—22no—
393#456—22no—
394#454—22no—
395#454—22no—
396#454—22no—
397#444—22no—
398#443—22no—
399#430C22×C3711yescharacteristic
400#430C22×C3711yescharacteristic
401#430C22×C3711yescharacteristic
402#423C22×C3711yescharacteristic
403#421C22×C3711yescharacteristic
404#421C22×C3711yescharacteristic
405C2×#104C22×C3711yescharacteristic
406C2×#104C22×C3711yescharacteristic
407C2×#104C22×C3711yescharacteristic
408#418C22×C3711yescharacteristic
409#413—22no—
410#413C22×C3711yescharacteristic
411#413C22×C3711yescharacteristic
412#413C22×C3711yescharacteristic
413C2×#101—22no—
414C2×#101C22×C3711yescharacteristic
415C2×#101C22×C3711yescharacteristic
416C2×#101C22×C3711yescharacteristic
417C2×#101C22×C3711yescharacteristic
418C2×#100C22×C3711yescharacteristic
419C2×#100C22×C3711yescharacteristic
420C4×M16C22×C3711yescharacteristic
421#344C22×C3711yescharacteristic
422#344C22×C3711yescharacteristic
423#339C22×C3711yescharacteristic
424#338C22×C3711yescharacteristic
425C37#2519711yescharacteristic, direct product factor, Sylow
4262−1+4—22no—
4272−1+4—22no—
4282−1+4—41no—
4292−1+4—41no—
430C2×#41—21no—
431C2×#41—21no—
432C2×#41—22no—
433C2×#41C23×C3711yescharacteristic
434C2×#41C23×C3711yescharacteristic
435C2×#41C23×C3711yescharacteristic
436C22×Q8—21no—
437C22×Q8—21no—
438C22×Q8C23×C3711yescharacteristic
439C22×D4C23×C3711yescharacteristic
440#137—21no—
441#137—21no—
442#137—21no—
443#137D4×C3712yes—
444AGL(1,ℤ/8)—21no—
445AGL(1,ℤ/8)—22no—
446AGL(1,ℤ/8)—22no—
447AGL(1,ℤ/8)—21no—
448AGL(1,ℤ/8)—21no—
449AGL(1,ℤ/8)—22no—
450AGL(1,ℤ/8)—22no—
451AGL(1,ℤ/8)—41no—
452AGL(1,ℤ/8)—41no—
453AGL(1,ℤ/8)D4×C3712yes—
454#135—22no—
455#135—41no—
456C2×SD16—21no—
457C2×SD16—21no—
458C2×SD16—21no—
459C2×D8—21no—
460C2×D8—21no—
461C2×D8—21no—
462#131—22no—
463#131—22no—
464#131—22no—
465#131—22no—
466#131—41no—
467#131—41no—
468C2×M16—22no—
469C2×M16—22no—
470C2×M16—41no—
471C2×M16C23×C3711yescharacteristic
472C2×M16C23×C3711yescharacteristic
473C2×M16C23×C3711yescharacteristic
474C2×M16C23×C3711yescharacteristic
475C2×M16C23×C3711yescharacteristic
476C2×M16C23×C3711yescharacteristic
477C2×M16C23×C3711yescharacteristic
478C2×M16C23×C3711yescharacteristic
479C4⋊Q8—21no—
480#124—21no—
481#124—21no—
482#124—21no—
483#124—41no—
484#123—22no—
485C22⋊Q8—41no—
486#117C23×C3711yescharacteristic
487C2×C22⋊C4—22no—
488C2×C42C23×C3711yescharacteristic
489#108—22no—
490#108—22no—
491#108—22no—
492C4⋊C8—41no—
493#104—22no—
494#104—22no—
495#104—21no—
496#104—21no—
497#104—21no—
498#104—21no—
499#104D4×C3712yes—
500#104D4×C3712yes—
501#102—41no—
502#101—21no—
503#101—21no—
504#101—22no—
505#101—22no—
506#101—22no—
507#101—22no—
508#101D4×C3712yes—
509#100—21no—
510#100—21no—
511#100—22no—
512#100—22no—
513#100D4×C3712yes—
514#97—21no—
515C4×C8—21no—
516C24—21no—
517#41—21no—
518#41—21no—
519#41—21no—
520#41—21no—
521#41—21no—
522#41—21no—
523#41—21no—
524#41—21no—
525#41—21no—
526#41—21no—
527#41—42no—
528#41—42no—
529#41—44no—
530#41—44no—
531#41—42no—
532#41—42no—
533#41C2×D4×C3712yes—
534#41C2×D4×C3712yes—
535C2×Q8—22no—
536C2×Q8—21no—
537C2×Q8—21no—
538C2×Q8—21no—
539C2×Q8—21no—
540C2×Q8—21no—
541C2×Q8—21no—
542C2×Q8—42no—
543C2×Q8—42no—
544C2×Q8—42no—
545C2×Q8—42no—
546C2×Q8C2×D4×C3711yescharacteristic
547C2×Q8C2×D4×C3711yescharacteristic
548C2×Q8#41×C3711yescharacteristic
549C2×D4—21no—
550C2×D4—22no—
551C2×D4—21no—
552C2×D4—21no—
553C2×D4—21no—
554C2×D4—21no—
555C2×D4—21no—
556C2×D4—21no—
557C2×D4—21no—
558C2×D4—21no—
559C2×D4C2×D4×C3711yescharacteristic
560C2×D4C2×D4×C3711yescharacteristic
561C2×D4#41×C3711yescharacteristic
562C22×C4—21no—
563C22×C4—22no—
564C22×C4—22no—
565C22×C4—21no—
566C22×C4—21no—
567C22×C4—21no—
568C22×C4#41×C3712yes—
569C22×C4C24×C3711yescharacteristic
570Q16—22no—
571Q16—41no—
572SD16—22no—
573SD16—22no—
574SD16—42no—
575SD16—42no—
576SD16—41no—
577SD16—41no—
578SD16—42no—
579D8—22no—
580D8—42no—
581D8—42no—
582D8—41no—
583D8—42no—
584M16—21no—
585M16—21no—
586M16—21no—
587M16—21no—
588M16—21no—
589M16—21no—
590M16—21no—
591M16—21no—
592M16—21no—
593M16—21no—
594M16—21no—
595M16—21no—
596M16—42no—
597M16—42no—
598M16—42no—
599M16C2×D4×C3712yes—
600M16C2×D4×C3712yes—
601M16C2×D4×C3712yes—
602M16C2×D4×C3712yes—
603C2×C8—21no—
604C2×C8—21no—
605C2×C8—21no—
606C2×C8—21no—
607C2×C8—21no—
608C2×C8—21no—
609C2×C8—21no—
610C2×C8—21no—
611C2×C8—42no—
612C2×C8—42no—
613C2×C8—42no—
614C4⋊C4—21no—
615C4⋊C4—42no—
616C22⋊C4—21no—
617C22⋊C4—42no—
618C22⋊C4—42no—
619C22⋊C4—42no—
620C42—21no—
621C42—21no—
622C42C2×D4×C3711yescharacteristic
623C42C2×D4×C3711yescharacteristic
624C23—21no—
625C23—21no—
626C23—21no—
627C23—41no—
628C23—41no—
629C23—41no—
630C23—82no—
631C23C2×#41×C3711yescharacteristic
632Q8—21no—
633Q8—21no—
634Q8—21no—
635Q8—21no—
636Q8—21no—
637Q8—44no—
638Q8—41no—
639Q8—41no—
640Q8—41no—
641Q8—41no—
642Q8#121×C3712yes—
643D4—22no—
644D4—22no—
645D4—21no—
646D4—21no—
647D4—21no—
648D4—21no—
649D4—21no—
650D4—44no—
651D4—41no—
652D4—41no—
653D4—41no—
654D4—41no—
655D4—41no—
656D4—41no—
657D4—41no—
658D4—41no—
659D4#121×C3712yes—
660C2×C4—21no—
661C2×C4—22no—
662C2×C4—22no—
663C2×C4—21no—
664C2×C4—22no—
665C2×C4—21no—
666C2×C4—21no—
667C2×C4—22no—
668C2×C4—22no—
669C2×C4—21no—
670C2×C4—44no—
671C2×C4—44no—
672C2×C4—41no—
673C2×C4—41no—
674C2×C4—41no—
675C2×C4—41no—
676C2×C4—41no—
677C2×C4—81no—
678C2×C4C22×D4×C3711yescharacteristic
679C2×C4C22×D4×C3711yescharacteristic
680C2×C4C22×D4×C3711yescharacteristic
681C2×C4C2×#41×C3711yescharacteristic
682C2×C4H(5,𝔽2)×C3711yescharacteristic
683C2×C4H(5,𝔽2)×C3711yescharacteristic
684C8—22no—
685C8—22no—
686C8—22no—
687C8—22no—
688C8—41no—
689C8—41no—
690C8—41no—
691C8—41no—
692C22—22no—
693C22—41no—
694C22—41no—
695C22—41no—
696C22—81no—
697C22—81no—
698C22—81no—
699C22—82no—
700C22—81no—
701C22—161no—
702C22—161no—
703C22C37×#52511yescharacteristic
704C22C37×#54611yescharacteristic
705C22C37×#54611yescharacteristic
706C4—22no—
707C4—41no—
708C4—41no—
709C4—42no—
710C4—41no—
711C4—41no—
712C4—81no—
713C4C2×#121×C3711yescharacteristic
714C4C37×#53811yescharacteristic
715C4D42×C3711yescharacteristic
716C4D42×C3711yescharacteristic
717C2—21no—
718C2—21no—
719C2—21no—
720C2—42no—
721C2—81no—
722C2—81no—
723C2—161no—
724C2C37×#242411yescharacteristic
subgroupG/H
center, socleC2×C37#2424
commutator, Frattini, cosocleC22×C4C24×C37
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C2×C37 ◁ C22×C4×C37 ◁ G

Complements

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

NH ≅ G/Ntype
1. C37×#3068C2semidirect
2. C37×#3068C2semidirect
3. C37×#3020C2semidirect
4. C2×C37×#454C2semidirect
5. C37×#2956C2semidirect
6. C37×#2889C2semidirect
7. C37×#2070C2semidirect
8. C37×#2050C2semidirect
9. C37×#2048C2semidirect
10. C37×#2003C2semidirect
11. C37×#1967C2semidirect
12. C37×#1932C2semidirect
13. C37×#1915C2semidirect
14. C37×#1903C2semidirect
15. C37×#1861C2semidirect
329. #25197C37direct (N × H)
355. #3068C2×C37semidirect
356. #3068C2×C37semidirect
357. #3020C2×C37semidirect
358. C2×#454C2×C37semidirect
359. #2956C2×C37semidirect
360. #2889C2×C37semidirect
361. #2070C2×C37semidirect
362. #2050C2×C37semidirect
363. #2048C2×C37semidirect
364. #2003C2×C37semidirect
365. #1967C2×C37semidirect
366. #1932C2×C37semidirect
367. #1915C2×C37semidirect
368. #1903C2×C37semidirect
369. #1861C2×C37semidirect
425. C37#25197direct (N × H)

Maximal subgroups

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

subgroupindex
C37×#30682
C37×#30202
C2×C37×#4542
C37×#29562
C37×#28892
C37×#20702
C37×#20502
C37×#20482
C37×#20032
C37×#19672
C37×#19322
C37×#19152
C37×#19032
C37×#18612
#2519737