Finite Group Databasebeta

← C37×#25198 #22646451

Subgroups — C37×#25198 #22646451

Order 9472.

958 conjugacy classes of subgroups.

The subgroup lattice has 716 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C37×#3069C211yesmaximal, characteristic, complemented
2C37×#3069C211yesmaximal, characteristic, complemented
3C37×#3020C211yesmaximal, characteristic
4C2×C37×#456C211yesmaximal, characteristic, complemented
5C37×#2956C211yesmaximal, characteristic, complemented
6C37×#2889C211yesmaximal, characteristic, complemented
7C37×#2070C211yesmaximal, characteristic, complemented
8C37×#2050C211yesmaximal, characteristic, complemented
9C37×#2049C211yesmaximal, characteristic, complemented
10C37×#2005C211yesmaximal, characteristic, complemented
11C37×#1966C211yesmaximal, characteristic, complemented
12C37×#1932C211yesmaximal, characteristic, complemented
13C37×#1915C211yesmaximal, characteristic, complemented
14C37×#1902C211yesmaximal, characteristic, complemented
15C37×#1861C211yesmaximal, characteristic, complemented
16C2×2−1+4×C37C2211yescharacteristic
17C37×#575C2211yescharacteristic
18C37×#575C2211yescharacteristic
19C2×#137×C37C2211yescharacteristic
20C2×#137×C37C2211yescharacteristic
21C2×#137×C37C2211yescharacteristic
22C37×#568C2211yescharacteristic
23C37×#568C2211yescharacteristic
24C37×#568C2211yescharacteristic
25C37×#536C2211yescharacteristic
26C2×C4⋊Q8×C37C2211yescharacteristic
27C37×#473—22no—
28C37×#473—22no—
29C37×#471—22no—
30C37×#471—22no—
31C37×#456—22no—
32C37×#456—22no—
33C37×#456—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×#419C2211yescharacteristic
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×#101×C37C2211yescharacteristic
57C2×#101×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×Q8×C37C2311yescharacteristic
77#137×C37—21no—
78#137×C37—22no—
79#137×C37—22no—
80#137×C37—21no—
81#137×C37—21no—
82#137×C37—22no—
83#137×C37—22no—
84#137×C37—41no—
85#137×C37—41no—
86#137×C37D412yes—
87AGL(1,ℤ/8)×C37—21no—
88AGL(1,ℤ/8)×C37—21no—
89AGL(1,ℤ/8)×C37—21no—
90AGL(1,ℤ/8)×C37D412yes—
91#135×C37—22no—
92#135×C37—41no—
93C2×Q16×C37—21no—
94C2×Q16×C37—21no—
95C2×Q16×C37—21no—
96C2×SD16×C37—21no—
97C2×SD16×C37—21no—
98C2×SD16×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—
117C4⋊Q8×C37—21no—
118C4⋊Q8×C37—21no—
119C4⋊Q8×C37—41no—
120#124×C37—21no—
121#123×C37—22no—
122C22⋊Q8×C37—41no—
123#117×C37C2311yescharacteristic
124C2×C4⋊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#103×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×C37—22no—
146#101×C37—22no—
147#101×C37D412yes—
148#100×C37—21no—
149#100×C37—21no—
150#100×C37D412yes—
151#97×C37—21no—
152C4×C8×C37—21no—
153#41×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—42no—
164#41×C37—42no—
165#41×C37—44no—
166#41×C37—44no—
167#41×C37—42no—
168#41×C37—42no—
169#41×C37C2×D412yes—
170#41×C37C2×D412yes—
171C2×Q8×C37—22no—
172C2×Q8×C37—21no—
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—21no—
180C2×Q8×C37—21no—
181C2×Q8×C37—21no—
182C2×Q8×C37—21no—
183C2×Q8×C37—21no—
184C2×Q8×C37—42no—
185C2×Q8×C37—42no—
186C2×Q8×C37—42no—
187C2×Q8×C37—42no—
188C2×Q8×C37C2×D411yescharacteristic
189C2×Q8×C37C2×D411yescharacteristic
190C2×Q8×C37#4111yescharacteristic
191C2×D4×C37—21no—
192C2×D4×C37—22no—
193C2×D4×C37—21no—
194C2×D4×C37—21no—
195C2×D4×C37C2×D411yescharacteristic
196C2×D4×C37C2×D411yescharacteristic
197C2×D4×C37#4111yescharacteristic
198C22×C4×C37—21no—
199C22×C4×C37—22no—
200C22×C4×C37—22no—
201C22×C4×C37—21no—
202C22×C4×C37—21no—
203C22×C4×C37—21no—
204C22×C4×C37—21no—
205C22×C4×C37#4112yes—
206C22×C4×C37C2411yescharacteristic
207Q16×C37—22no—
208Q16×C37—42no—
209Q16×C37—42no—
210Q16×C37—41no—
211Q16×C37—42no—
212SD16×C37—22no—
213SD16×C37—22no—
214SD16×C37—42no—
215SD16×C37—42no—
216SD16×C37—41no—
217SD16×C37—41no—
218SD16×C37—42no—
219D8×C37—22no—
220D8×C37—41no—
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—
253C4⋊C4×C37—42no—
254C4⋊C4×C37—42no—
255C22⋊C4×C37—21no—
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×C37C2×#4111yescharacteristic
265Q8×C37—21no—
266Q8×C37—21no—
267Q8×C37—21no—
268Q8×C37—21no—
269Q8×C37—21no—
270Q8×C37—44no—
271Q8×C37—41no—
272Q8×C37—41no—
273Q8×C37—41no—
274Q8×C37—41no—
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#12112yes—
293C2×C4×C37—21no—
294C2×C4×C37—21no—
295C2×C4×C37—22no—
296C2×C4×C37—22no—
297C2×C4×C37—21no—
298C2×C4×C37—22no—
299C2×C4×C37—21no—
300C2×C4×C37—22no—
301C2×C4×C37—21no—
302C2×C4×C37—22no—
303C2×C4×C37—42no—
304C2×C4×C37—44no—
305C2×C4×C37—44no—
306C2×C4×C37—41no—
307C2×C4×C37—41no—
308C2×C4×C37—41no—
309C2×C4×C37—41no—
310C2×C4×C37—41no—
311C2×C4×C37—41no—
312C2×C4×C37—41no—
313C2×C4×C37—41no—
314C2×C4×C37C22×D411yescharacteristic
315C2×C4×C37C22×D411yescharacteristic
316C2×C4×C37C22×D411yescharacteristic
317C2×C4×C37C2×#4111yescharacteristic
318C2×C4×C37H(5,𝔽2)11yescharacteristic
319C2×C4×C37H(5,𝔽2)11yescharacteristic
320C8×C37—22no—
321C8×C37—22no—
322C8×C37—22no—
323C8×C37—22no—
324C8×C37—41no—
325C8×C37—41no—
326C8×C37—41no—
327C8×C37—41no—
328#25198C3711yesmaximal, characteristic, direct product factor, Sylow
329C22×C37—22no—
330C22×C37—41no—
331C22×C37—41no—
332C22×C37—41no—
333C22×C37—81no—
334C22×C37—81no—
335C22×C37—81no—
336C22×C37#52511yescharacteristic
337C22×C37#54611yescharacteristic
338C22×C37#54611yescharacteristic
339C4×C37—22no—
340C4×C37—22no—
341C4×C37—41no—
342C4×C37—42no—
343C4×C37—41no—
344C4×C37—41no—
345C4×C37—81no—
346C4×C37—81no—
347C4×C37C2×#12111yescharacteristic
348C4×C37#53811yescharacteristic
349C4×C37D4211yescharacteristic
350C4×C37D4211yescharacteristic
351#3069C2×C3711yescharacteristic, complemented
352#3069C2×C3711yescharacteristic, complemented
353#3020C2×C3711yescharacteristic
354C2×#456C2×C3711yescharacteristic, complemented
355#2956C2×C3711yescharacteristic, complemented
356#2889C2×C3711yescharacteristic, complemented
357#2070C2×C3711yescharacteristic, complemented
358#2050C2×C3711yescharacteristic, complemented
359#2049C2×C3711yescharacteristic, complemented
360#2005C2×C3711yescharacteristic, complemented
361#1966C2×C3711yescharacteristic, complemented
362#1932C2×C3711yescharacteristic, complemented
363#1915C2×C3711yescharacteristic, complemented
364#1902C2×C3711yescharacteristic, complemented
365#1861C2×C3711yescharacteristic, complemented
366C2×C37—21no—
367C2×C37—21no—
368C2×C37—21no—
369C2×C37—42no—
370C2×C37—81no—
371C2×C37—81no—
372C2×C37#242411yescharacteristic
373C2×2−1+4C22×C3711yescharacteristic
374#575C22×C3711yescharacteristic
375#575C22×C3711yescharacteristic
376C2×#137C22×C3711yescharacteristic
377C2×#137C22×C3711yescharacteristic
378C2×#137C22×C3711yescharacteristic
379#568C22×C3711yescharacteristic
380#568C22×C3711yescharacteristic
381#568C22×C3711yescharacteristic
382#536C22×C3711yescharacteristic
383C2×C4⋊Q8C22×C3711yescharacteristic
384#473—22no—
385#473—22no—
386#471—22no—
387#471—22no—
388#456—22no—
389#456—22no—
390#456—22no—
391#454—22no—
392#444—22no—
393#443—22no—
394#430C22×C3711yescharacteristic
395#430C22×C3711yescharacteristic
396#430C22×C3711yescharacteristic
397#423C22×C3711yescharacteristic
398#421C22×C3711yescharacteristic
399#421C22×C3711yescharacteristic
400C2×#104C22×C3711yescharacteristic
401C2×#104C22×C3711yescharacteristic
402C2×#104C22×C3711yescharacteristic
403#419C22×C3711yescharacteristic
404#413—22no—
405#413C22×C3711yescharacteristic
406#413C22×C3711yescharacteristic
407#413C22×C3711yescharacteristic
408C2×#101—22no—
409C2×#101C22×C3711yescharacteristic
410C2×#101C22×C3711yescharacteristic
411C2×#101C22×C3711yescharacteristic
412C2×#101C22×C3711yescharacteristic
413C2×#101C22×C3711yescharacteristic
414C2×#101C22×C3711yescharacteristic
415C4×M16C22×C3711yescharacteristic
416#344C22×C3711yescharacteristic
417#344C22×C3711yescharacteristic
418#339C22×C3711yescharacteristic
419#338C22×C3711yescharacteristic
420C37#2519811yescharacteristic, direct product factor, Sylow
4212−1+4—22no—
4222−1+4—22no—
4232−1+4—41no—
4242−1+4—41no—
425C2×#41—21no—
426C2×#41—21no—
427C2×#41—22no—
428C2×#41C23×C3711yescharacteristic
429C2×#41C23×C3711yescharacteristic
430C2×#41C23×C3711yescharacteristic
431C22×Q8—21no—
432C22×Q8—21no—
433C22×Q8C23×C3711yescharacteristic
434C22×Q8C23×C3711yescharacteristic
435#137—21no—
436#137—22no—
437#137—22no—
438#137—21no—
439#137—21no—
440#137—22no—
441#137—22no—
442#137—41no—
443#137—41no—
444#137D4×C3712yes—
445AGL(1,ℤ/8)—21no—
446AGL(1,ℤ/8)—21no—
447AGL(1,ℤ/8)—21no—
448AGL(1,ℤ/8)D4×C3712yes—
449#135—22no—
450#135—41no—
451C2×Q16—21no—
452C2×Q16—21no—
453C2×Q16—21no—
454C2×SD16—21no—
455C2×SD16—21no—
456C2×SD16—21no—
457#131—22no—
458#131—22no—
459#131—22no—
460#131—22no—
461#131—41no—
462#131—41no—
463C2×M16—22no—
464C2×M16—22no—
465C2×M16—41no—
466C2×M16C23×C3711yescharacteristic
467C2×M16C23×C3711yescharacteristic
468C2×M16C23×C3711yescharacteristic
469C2×M16C23×C3711yescharacteristic
470C2×M16C23×C3711yescharacteristic
471C2×M16C23×C3711yescharacteristic
472C2×M16C23×C3711yescharacteristic
473C2×M16C23×C3711yescharacteristic
474C4⋊Q8—21no—
475C4⋊Q8—21no—
476C4⋊Q8—21no—
477C4⋊Q8—41no—
478#124—21no—
479#123—22no—
480C22⋊Q8—41no—
481#117C23×C3711yescharacteristic
482C2×C4⋊C4—22no—
483C2×C42C23×C3711yescharacteristic
484#108—22no—
485#108—22no—
486#108—22no—
487C4⋊C8—41no—
488#104—22no—
489#104—22no—
490#104—21no—
491#104—21no—
492#104—21no—
493#104—21no—
494#104D4×C3712yes—
495#104D4×C3712yes—
496#103—41no—
497#101—21no—
498#101—21no—
499#101—22no—
500#101—22no—
501#101—22no—
502#101—22no—
503#101—22no—
504#101—22no—
505#101D4×C3712yes—
506#100—21no—
507#100—21no—
508#100D4×C3712yes—
509#97—21no—
510C4×C8—21no—
511#41—21no—
512#41—21no—
513#41—21no—
514#41—21no—
515#41—21no—
516#41—21no—
517#41—21no—
518#41—21no—
519#41—21no—
520#41—21no—
521#41—42no—
522#41—42no—
523#41—44no—
524#41—44no—
525#41—42no—
526#41—42no—
527#41C2×D4×C3712yes—
528#41C2×D4×C3712yes—
529C2×Q8—22no—
530C2×Q8—21no—
531C2×Q8—21no—
532C2×Q8—21no—
533C2×Q8—21no—
534C2×Q8—21no—
535C2×Q8—21no—
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×D4C2×D4×C3711yescharacteristic
554C2×D4C2×D4×C3711yescharacteristic
555C2×D4#41×C3711yescharacteristic
556C22×C4—21no—
557C22×C4—22no—
558C22×C4—22no—
559C22×C4—21no—
560C22×C4—21no—
561C22×C4—21no—
562C22×C4—21no—
563C22×C4#41×C3712yes—
564C22×C4C24×C3711yescharacteristic
565Q16—22no—
566Q16—42no—
567Q16—42no—
568Q16—41no—
569Q16—42no—
570SD16—22no—
571SD16—22no—
572SD16—42no—
573SD16—42no—
574SD16—41no—
575SD16—41no—
576SD16—42no—
577D8—22no—
578D8—41no—
579M16—21no—
580M16—21no—
581M16—21no—
582M16—21no—
583M16—21no—
584M16—21no—
585M16—21no—
586M16—21no—
587M16—21no—
588M16—21no—
589M16—21no—
590M16—21no—
591M16—42no—
592M16—42no—
593M16—42no—
594M16C2×D4×C3712yes—
595M16C2×D4×C3712yes—
596M16C2×D4×C3712yes—
597M16C2×D4×C3712yes—
598C2×C8—21no—
599C2×C8—21no—
600C2×C8—21no—
601C2×C8—21no—
602C2×C8—21no—
603C2×C8—21no—
604C2×C8—21no—
605C2×C8—21no—
606C2×C8—42no—
607C2×C8—42no—
608C2×C8—42no—
609C4⋊C4—21no—
610C4⋊C4—42no—
611C4⋊C4—42no—
612C4⋊C4—42no—
613C22⋊C4—21no—
614C22⋊C4—42no—
615C42—21no—
616C42—21no—
617C42C2×D4×C3711yescharacteristic
618C42C2×D4×C3711yescharacteristic
619C23—21no—
620C23—21no—
621C23—21no—
622C23C2×#41×C3711yescharacteristic
623Q8—21no—
624Q8—21no—
625Q8—21no—
626Q8—21no—
627Q8—21no—
628Q8—44no—
629Q8—41no—
630Q8—41no—
631Q8—41no—
632Q8—41no—
633Q8—41no—
634Q8—41no—
635Q8—41no—
636Q8—41no—
637Q8#121×C3712yes—
638D4—22no—
639D4—22no—
640D4—21no—
641D4—21no—
642D4—21no—
643D4—21no—
644D4—21no—
645D4—44no—
646D4—41no—
647D4—41no—
648D4—41no—
649D4—41no—
650D4#121×C3712yes—
651C2×C4—21no—
652C2×C4—21no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—21no—
656C2×C4—22no—
657C2×C4—21no—
658C2×C4—22no—
659C2×C4—21no—
660C2×C4—22no—
661C2×C4—44no—
662C2×C4—42no—
663C2×C4—44no—
664C2×C4—41no—
665C2×C4—41no—
666C2×C4—41no—
667C2×C4—41no—
668C2×C4—41no—
669C2×C4—41no—
670C2×C4—41no—
671C2×C4—41no—
672C2×C4C22×D4×C3711yescharacteristic
673C2×C4C22×D4×C3711yescharacteristic
674C2×C4C22×D4×C3711yescharacteristic
675C2×C4C2×#41×C3711yescharacteristic
676C2×C4H(5,𝔽2)×C3711yescharacteristic
677C2×C4H(5,𝔽2)×C3711yescharacteristic
678C8—22no—
679C8—22no—
680C8—22no—
681C8—22no—
682C8—41no—
683C8—41no—
684C8—41no—
685C8—41no—
686C22—22no—
687C22—41no—
688C22—41no—
689C22—41no—
690C22—81no—
691C22—81no—
692C22—81no—
693C22C37×#52511yescharacteristic
694C22C37×#54611yescharacteristic
695C22C37×#54611yescharacteristic
696C4—22no—
697C4—22no—
698C4—41no—
699C4—42no—
700C4—41no—
701C4—41no—
702C4—81no—
703C4—81no—
704C4C2×#121×C3711yescharacteristic
705C4C37×#53811yescharacteristic
706C4D42×C3711yescharacteristic
707C4D42×C3711yescharacteristic
708C2—21no—
709C2—21no—
710C2—21no—
711C2—42no—
712C2—81no—
713C2—81no—
714C2C37×#242411yescharacteristic
subgroupG/H
center, socleC2×C37#2424
commutator, Frattini, cosocleC22×C4C24×C37
prime radicalC37×#3020C2
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×#3069C2semidirect
2. C37×#3069C2semidirect
4. C2×C37×#456C2semidirect
5. C37×#2956C2semidirect
6. C37×#2889C2semidirect
7. C37×#2070C2semidirect
8. C37×#2050C2semidirect
9. C37×#2049C2semidirect
10. C37×#2005C2semidirect
11. C37×#1966C2semidirect
12. C37×#1932C2semidirect
13. C37×#1915C2semidirect
14. C37×#1902C2semidirect
15. C37×#1861C2semidirect
328. #25198C37direct (N × H)
351. #3069C2×C37semidirect
352. #3069C2×C37semidirect
354. C2×#456C2×C37semidirect
355. #2956C2×C37semidirect
356. #2889C2×C37semidirect
357. #2070C2×C37semidirect
358. #2050C2×C37semidirect
359. #2049C2×C37semidirect
360. #2005C2×C37semidirect
361. #1966C2×C37semidirect
362. #1932C2×C37semidirect
363. #1915C2×C37semidirect
364. #1902C2×C37semidirect
365. #1861C2×C37semidirect
420. C37#25198direct (N × H)

Maximal subgroups

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

subgroupindex
C37×#30692
C37×#30202
C2×C37×#4562
C37×#29562
C37×#28892
C37×#20702
C37×#20502
C37×#20492
C37×#20052
C37×#19662
C37×#19322
C37×#19152
C37×#19022
C37×#18612
#2519837