Finite Group Databasebeta

← C37×#33560 #22654813

Subgroups — C37×#33560 #22654813

Order 9472.

1132 conjugacy classes of subgroups.

The subgroup lattice has 748 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C37×#3551C211yesmaximal, characteristic, complemented
2C37×#3028C211yesmaximal, characteristic, complemented
3C37×#3027C211yesmaximal, characteristic, complemented
4C37×#3018C211yesmaximal, characteristic, complemented
5C37×#2200C214yesmaximal, complemented
6C37×#2197C214yesmaximal, complemented
7C37×#2126C211yesmaximal, characteristic, complemented
8C37×#2123C211yesmaximal, characteristic, complemented
9C37×#2122C211yesmaximal, characteristic, complemented
10C37×#585C2211yescharacteristic
11C37×#575—21no—
12C37×#563—21no—
13C37×#560C2212yescomplemented
14C37×#555—21no—
15C37×#553—21no—
16C37×#552—21no—
17C37×#551C2212yescomplemented
18C37×#548—21no—
19C37×#546—21no—
20C37×#540—22no—
21C37×#538—22no—
22C37×#537—21no—
23C37×#536—21no—
24C37×#536C2211yescharacteristic
25C37×#535—21no—
26C37×#535C2211yescharacteristic
27C37×#532C2211yescharacteristic
28C37×#529—21no—
29C37×#458—22no—
30C37×#458C2214yes—
31C37×B(4,𝔽2)—22no—
32C37×B(4,𝔽2)C2214yes—
33C37×#456—21no—
34C37×#455C2212yes—
35C37×#454—21no—
36C37×#453C2212yes—
37C2×#104×C37—21no—
38C37×#413C2211yescharacteristic
39C37×#410—21no—
40C37×#410—21no—
41C37×#410C2211yescharacteristic
42C37×#410C2211yescharacteristic
43C37×#354C2212yescomplemented
44C37×#353C2212yescomplemented
45C37×#352C2214yescomplemented
46C37×AΣL(1,𝔽16)C2214yescomplemented
472−1+4×C37—21no—
482−1+4×C37—41no—
49H(5,𝔽2)×C37—21no—
50H(5,𝔽2)×C37—21no—
51H(5,𝔽2)×C37—41no—
52H(5,𝔽2)×C37C2312yes—
53C2×#41×C37—21no—
54C2×#41×C37—21no—
55C2×#41×C37—21no—
56C2×#41×C37—21no—
57C2×#41×C37—42no—
58C2×#41×C37D411yescharacteristic, complemented
59C2×#41×C37C2311yescharacteristic
60C22×Q8×C37D411yescharacteristic, complemented
61C22×D4×C37D411yescharacteristic
62#137×C37—22no—
63#137×C37—41no—
64AGL(1,ℤ/8)×C37—22no—
65AGL(1,ℤ/8)×C37—41no—
66#135×C37—42no—
67C2×M16×C37—21no—
68C4⋊Q8×C37—21no—
69C4⋊Q8×C37—41no—
70C4⋊Q8×C37D411yescharacteristic, complemented
71#127×C37—21no—
72#127×C37—41no—
73#127×C37C2311yescharacteristic
74#126×C37—22no—
75#126×C37—22no—
76#126×C37—22no—
77#125×C37—21no—
78#125×C37—22no—
79#124×C37—21no—
80#124×C37—22no—
81#124×C37—21no—
82#124×C37—21no—
83#124×C37—41no—
84#124×C37—41no—
85#124×C37D411yescharacteristic, complemented
86#124×C37C2311yescharacteristic
87#123×C37—22no—
88#123×C37—22no—
89#123×C37—22no—
90#123×C37—22no—
91#123×C37—24no—
92#123×C37D412yescomplemented
93#123×C37C2312yes—
94C22⋊Q8×C37—21no—
95C22⋊Q8×C37—22no—
96C22⋊Q8×C37—22no—
97C22⋊Q8×C37—21no—
98C22⋊Q8×C37—21no—
99C22⋊Q8×C37—42no—
100#121×C37—22no—
101#121×C37—22no—
102#121×C37—21no—
103#121×C37—22no—
104#121×C37—21no—
105#121×C37—21no—
106#121×C37—22no—
107#121×C37—21no—
108#121×C37—21no—
109#121×C37—22no—
110#121×C37—22no—
111#121×C37—42no—
112#120×C37—22no—
113#120×C37—24no—
114#120×C37D412yes—
115#120×C37C2312yes—
116C4×Q8×C37—21no—
117C4×D4×C37—22no—
118C4×D4×C37—21no—
119C4×D4×C37—22no—
120C4×D4×C37—21no—
121C4×D4×C37—21no—
122C4×D4×C37—22no—
123#117×C37—22no—
124#117×C37—22no—
125#117×C37—21no—
126#117×C37—21no—
127#117×C37D411yescharacteristic
128#117×C37D411yescharacteristic, complemented
129C2×C4⋊C4×C37—21no—
130C2×C22⋊C4×C37—22no—
131C2×C42×C37D411yescharacteristic, complemented
132#104×C37—22no—
133#104×C37—22no—
134#101×C37—21no—
135#100×C37C2312yes—
136#99×C37—21no—
137#99×C37—21no—
138#99×C37—24no—
139#99×C37—24no—
140#99×C37C2312yes—
141#99×C37C2312yes—
142C24×C37C2×D412yes—
143#41×C37—22no—
144#41×C37—22no—
145#41×C37—41no—
146#41×C37—41no—
147#41×C37—42no—
148#41×C37—41no—
149#41×C37—41no—
150#41×C37—41no—
151#41×C37—41no—
152#41×C37—41no—
153#41×C37—42no—
154#41×C37—42no—
155#41×C37—41no—
156#41×C37—41no—
157#41×C37—42no—
158#41×C37—41no—
159#41×C37—41no—
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—21no—
168C2×Q8×C37—41no—
169C2×Q8×C37—41no—
170C2×Q8×C37—42no—
171C2×Q8×C37C2×D411yescharacteristic
172C2×Q8×C37C2×D411yescharacteristic
173C2×D4×C37—21no—
174C2×D4×C37—21no—
175C2×D4×C37—21no—
176C2×D4×C37—22no—
177C2×D4×C37—22no—
178C2×D4×C37—22no—
179C2×D4×C37—22no—
180C2×D4×C37—22no—
181C2×D4×C37—21no—
182C2×D4×C37—21no—
183C2×D4×C37—22no—
184C2×D4×C37—21no—
185C2×D4×C37—21no—
186C2×D4×C37—21no—
187C2×D4×C37—41no—
188C2×D4×C37—41no—
189C2×D4×C37—42no—
190C2×D4×C37—42no—
191C2×D4×C37—42no—
192C2×D4×C37—41no—
193C2×D4×C37—44no—
194C2×D4×C37C2×D411yescharacteristic
195C2×D4×C37C2×D411yescharacteristic
196C2×D4×C37C2×D411yescharacteristic
197C2×D4×C37C2411yescharacteristic
198C22×C4×C37—22no—
199C22×C4×C37—22no—
200C22×C4×C37—22no—
201C22×C4×C37—22no—
202C22×C4×C37—22no—
203C22×C4×C37—21no—
204C22×C4×C37—21no—
205C22×C4×C37—41no—
206C22×C4×C37C2×D411yescharacteristic
207C22×C4×C37C2×D411yescharacteristic
208C22×C4×C37C2×D411yescharacteristic
209C22×C4×C37C2×D412yes—
210Q16×C37—42no—
211SD16×C37—42no—
212SD16×C37—42no—
213D8×C37—42no—
214M16×C37—22no—
215M16×C37—41no—
216C2×C8×C37—41no—
217C4⋊C4×C37—22no—
218C4⋊C4×C37—22no—
219C4⋊C4×C37—22no—
220C4⋊C4×C37—22no—
221C4⋊C4×C37—22no—
222C4⋊C4×C37—22no—
223C4⋊C4×C37—21no—
224C4⋊C4×C37—21no—
225C4⋊C4×C37—21no—
226C4⋊C4×C37—21no—
227C4⋊C4×C37—22no—
228C4⋊C4×C37—41no—
229C4⋊C4×C37—41no—
230C4⋊C4×C37—44no—
231C22⋊C4×C37—22no—
232C22⋊C4×C37—22no—
233C22⋊C4×C37—22no—
234C22⋊C4×C37—22no—
235C22⋊C4×C37—22no—
236C22⋊C4×C37—22no—
237C22⋊C4×C37—21no—
238C22⋊C4×C37—22no—
239C22⋊C4×C37—21no—
240C22⋊C4×C37—21no—
241C22⋊C4×C37—21no—
242C22⋊C4×C37—22no—
243C22⋊C4×C37—22no—
244C22⋊C4×C37—22no—
245C22⋊C4×C37—22no—
246C22⋊C4×C37—44no—
247C22⋊C4×C37—44no—
248C22⋊C4×C37C2×D412yes—
249C22⋊C4×C37C2×D412yes—
250C42×C37—22no—
251C42×C37—21no—
252C42×C37—21no—
253C42×C37—21no—
254C42×C37—41no—
255C42×C37—41no—
256C42×C37C2×D411yescharacteristic
257C42×C37C2×D411yescharacteristic
258C23×C37—22no—
259C23×C37—22no—
260C23×C37—22no—
261C23×C37—21no—
262C23×C37—41no—
263C23×C37—42no—
264C23×C37—82no—
265C23×C37#12011yescharacteristic
266C23×C37C22×D411yescharacteristic
267C23×C37C22×D411yescharacteristic
268Q8×C37—22no—
269Q8×C37—41no—
270Q8×C37—41no—
271Q8×C37—41no—
272Q8×C37—41no—
273Q8×C37—41no—
274Q8×C37—41no—
275Q8×C37—41no—
276Q8×C37—81no—
277D4×C37—22no—
278D4×C37—41no—
279D4×C37—41no—
280D4×C37—41no—
281D4×C37—41no—
282D4×C37—41no—
283D4×C37—41no—
284D4×C37—42no—
285D4×C37—42no—
286D4×C37—42no—
287D4×C37—42no—
288D4×C37—41no—
289D4×C37—41no—
290D4×C37—41no—
291D4×C37—81no—
292D4×C37—81no—
293D4×C37—82no—
294D4×C37—82no—
295D4×C37—82no—
296D4×C37—81no—
297D4×C37—81no—
298D4×C37—82no—
299D4×C37—164no—
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—22no—
308C2×C4×C37—21no—
309C2×C4×C37—22no—
310C2×C4×C37—21no—
311C2×C4×C37—22no—
312C2×C4×C37—22no—
313C2×C4×C37—21no—
314C2×C4×C37—42no—
315C2×C4×C37—42no—
316C2×C4×C37—42no—
317C2×C4×C37—41no—
318C2×C4×C37—42no—
319C2×C4×C37—41no—
320C2×C4×C37—41no—
321C2×C4×C37—42no—
322C2×C4×C37—42no—
323C2×C4×C37—42no—
324C2×C4×C37—82no—
325C2×C4×C37—81no—
326C2×C4×C37—82no—
327C2×C4×C37—82no—
328C2×C4×C37#12011yescharacteristic
329C2×C4×C37#12011yescharacteristic
330C2×C4×C37#12011yescharacteristic
331C2×C4×C37C22×D411yescharacteristic
332C8×C37—42no—
333#33560C3711yesmaximal, characteristic, direct product factor, Sylow
334C22×C37—21no—
335C22×C37—21no—
336C22×C37—21no—
337C22×C37—41no—
338C22×C37—41no—
339C22×C37—41no—
340C22×C37—41no—
341C22×C37—42no—
342C22×C37—41no—
343C22×C37—42no—
344C22×C37—42no—
345C22×C37—41no—
346C22×C37—42no—
347C22×C37—82no—
348C22×C37—84no—
349C22×C37—82no—
350C22×C37—161no—
351C22×C37C2×#12011yescharacteristic
352C4×C37—21no—
353C4×C37—21no—
354C4×C37—21no—
355C4×C37—41no—
356C4×C37—42no—
357C4×C37—42no—
358C4×C37—41no—
359C4×C37—42no—
360C4×C37—41no—
361C4×C37—42no—
362C4×C37—82no—
363C4×C37—82no—
364C4×C37B(4,𝔽2)11yescharacteristic
365C4×C37B(4,𝔽2)11yescharacteristic
366#3551C2×C3711yescharacteristic, complemented
367#3028C2×C3711yescharacteristic, complemented
368#3027C2×C3711yescharacteristic, complemented
369#3018C2×C3711yescharacteristic, complemented
370#2200C2×C3714yescomplemented
371#2197C2×C3714yescomplemented
372#2126C2×C3711yescharacteristic, complemented
373#2123C2×C3711yescharacteristic, complemented
374#2122C2×C3711yescharacteristic, complemented
375C2×C37—21no—
376C2×C37—41no—
377C2×C37—41no—
378C2×C37—41no—
379C2×C37—81no—
380C2×C37—82no—
381C2×C37—82no—
382C2×C37C2×B(4,𝔽2)11yescharacteristic
383#585C22×C3711yescharacteristic
384#575—21no—
385#563—21no—
386#560C22×C3712yescomplemented
387#555—21no—
388#553—21no—
389#552—21no—
390#551C22×C3712yescomplemented
391#548—21no—
392#546—21no—
393#540—22no—
394#538—22no—
395#537—21no—
396#536—21no—
397#536C22×C3711yescharacteristic
398#535—21no—
399#535C22×C3711yescharacteristic
400#532C22×C3711yescharacteristic
401#529—21no—
402#458—22no—
403#458C22×C3714yes—
404B(4,𝔽2)—22no—
405B(4,𝔽2)C22×C3714yes—
406#456—21no—
407#455C22×C3712yes—
408#454—21no—
409#453C22×C3712yes—
410C2×#104—21no—
411#413C22×C3711yescharacteristic
412#410—21no—
413#410—21no—
414#410C22×C3711yescharacteristic
415#410C22×C3711yescharacteristic
416#354C22×C3712yescomplemented
417#353C22×C3712yescomplemented
418#352C22×C3714yescomplemented
419AΣL(1,𝔽16)C22×C3714yescomplemented
420C37#3356011yescharacteristic, direct product factor, Sylow
4212−1+4—21no—
4222−1+4—41no—
423H(5,𝔽2)—21no—
424H(5,𝔽2)—21no—
425H(5,𝔽2)—41no—
426H(5,𝔽2)C23×C3712yes—
427C2×#41—21no—
428C2×#41—21no—
429C2×#41—21no—
430C2×#41—21no—
431C2×#41—42no—
432C2×#41D4×C3711yescharacteristic, complemented
433C2×#41C23×C3711yescharacteristic
434C22×Q8D4×C3711yescharacteristic, complemented
435C22×D4D4×C3711yescharacteristic
436#137—22no—
437#137—41no—
438AGL(1,ℤ/8)—22no—
439AGL(1,ℤ/8)—41no—
440#135—42no—
441C2×M16—21no—
442C4⋊Q8—21no—
443C4⋊Q8—41no—
444C4⋊Q8D4×C3711yescharacteristic, complemented
445#127—21no—
446#127—41no—
447#127C23×C3711yescharacteristic
448#126—22no—
449#126—22no—
450#126—22no—
451#125—21no—
452#125—22no—
453#124—21no—
454#124—22no—
455#124—21no—
456#124—21no—
457#124—41no—
458#124—41no—
459#124D4×C3711yescharacteristic, complemented
460#124C23×C3711yescharacteristic
461#123—22no—
462#123—22no—
463#123—22no—
464#123—22no—
465#123—24no—
466#123D4×C3712yescomplemented
467#123C23×C3712yes—
468C22⋊Q8—21no—
469C22⋊Q8—22no—
470C22⋊Q8—22no—
471C22⋊Q8—21no—
472C22⋊Q8—21no—
473C22⋊Q8—42no—
474#121—22no—
475#121—22no—
476#121—21no—
477#121—22no—
478#121—21no—
479#121—21no—
480#121—22no—
481#121—21no—
482#121—21no—
483#121—22no—
484#121—22no—
485#121—42no—
486#120—22no—
487#120—24no—
488#120D4×C3712yes—
489#120C23×C3712yes—
490C4×Q8—21no—
491C4×D4—22no—
492C4×D4—21no—
493C4×D4—22no—
494C4×D4—21no—
495C4×D4—21no—
496C4×D4—22no—
497#117—22no—
498#117—22no—
499#117—21no—
500#117—21no—
501#117D4×C3711yescharacteristic
502#117D4×C3711yescharacteristic, complemented
503C2×C4⋊C4—21no—
504C2×C22⋊C4—22no—
505C2×C42D4×C3711yescharacteristic, complemented
506#104—22no—
507#104—22no—
508#101—21no—
509#100C23×C3712yes—
510#99—21no—
511#99—21no—
512#99—24no—
513#99—24no—
514#99C23×C3712yes—
515#99C23×C3712yes—
516C24C2×D4×C3712yes—
517#41—22no—
518#41—22no—
519#41—41no—
520#41—41no—
521#41—42no—
522#41—41no—
523#41—41no—
524#41—41no—
525#41—41no—
526#41—41no—
527#41—42no—
528#41—42no—
529#41—41no—
530#41—41no—
531#41—42no—
532#41—41no—
533#41—41no—
534#41—41no—
535#41—81no—
536#41—81no—
537C2×Q8—21no—
538C2×Q8—21no—
539C2×Q8—21no—
540C2×Q8—21no—
541C2×Q8—21no—
542C2×Q8—41no—
543C2×Q8—41no—
544C2×Q8—42no—
545C2×Q8C2×D4×C3711yescharacteristic
546C2×Q8C2×D4×C3711yescharacteristic
547C2×D4—21no—
548C2×D4—21no—
549C2×D4—21no—
550C2×D4—22no—
551C2×D4—22no—
552C2×D4—22no—
553C2×D4—22no—
554C2×D4—22no—
555C2×D4—21no—
556C2×D4—21no—
557C2×D4—22no—
558C2×D4—21no—
559C2×D4—21no—
560C2×D4—21no—
561C2×D4—41no—
562C2×D4—41no—
563C2×D4—42no—
564C2×D4—42no—
565C2×D4—42no—
566C2×D4—41no—
567C2×D4—44no—
568C2×D4C2×D4×C3711yescharacteristic
569C2×D4C2×D4×C3711yescharacteristic
570C2×D4C2×D4×C3711yescharacteristic
571C2×D4C24×C3711yescharacteristic
572C22×C4—22no—
573C22×C4—22no—
574C22×C4—22no—
575C22×C4—22no—
576C22×C4—22no—
577C22×C4—21no—
578C22×C4—21no—
579C22×C4—41no—
580C22×C4C2×D4×C3711yescharacteristic
581C22×C4C2×D4×C3711yescharacteristic
582C22×C4C2×D4×C3711yescharacteristic
583C22×C4C2×D4×C3712yes—
584Q16—42no—
585SD16—42no—
586SD16—42no—
587D8—42no—
588M16—22no—
589M16—41no—
590C2×C8—41no—
591C4⋊C4—22no—
592C4⋊C4—22no—
593C4⋊C4—22no—
594C4⋊C4—22no—
595C4⋊C4—22no—
596C4⋊C4—21no—
597C4⋊C4—21no—
598C4⋊C4—22no—
599C4⋊C4—21no—
600C4⋊C4—21no—
601C4⋊C4—22no—
602C4⋊C4—41no—
603C4⋊C4—41no—
604C4⋊C4—44no—
605C22⋊C4—22no—
606C22⋊C4—22no—
607C22⋊C4—22no—
608C22⋊C4—22no—
609C22⋊C4—22no—
610C22⋊C4—22no—
611C22⋊C4—21no—
612C22⋊C4—22no—
613C22⋊C4—21no—
614C22⋊C4—21no—
615C22⋊C4—21no—
616C22⋊C4—22no—
617C22⋊C4—22no—
618C22⋊C4—22no—
619C22⋊C4—22no—
620C22⋊C4—44no—
621C22⋊C4—44no—
622C22⋊C4C2×D4×C3712yes—
623C22⋊C4C2×D4×C3712yes—
624C42—22no—
625C42—21no—
626C42—21no—
627C42—21no—
628C42—41no—
629C42—41no—
630C42C2×D4×C3711yescharacteristic
631C42C2×D4×C3711yescharacteristic
632C23—22no—
633C23—22no—
634C23—22no—
635C23—21no—
636C23—41no—
637C23—42no—
638C23—82no—
639C23#120×C3711yescharacteristic
640C23C22×D4×C3711yescharacteristic
641C23C22×D4×C3711yescharacteristic
642Q8—22no—
643Q8—41no—
644Q8—41no—
645Q8—41no—
646Q8—41no—
647Q8—41no—
648Q8—41no—
649Q8—41no—
650Q8—81no—
651D4—22no—
652D4—41no—
653D4—41no—
654D4—41no—
655D4—41no—
656D4—41no—
657D4—41no—
658D4—42no—
659D4—42no—
660D4—42no—
661D4—42no—
662D4—41no—
663D4—41no—
664D4—41no—
665D4—81no—
666D4—81no—
667D4—82no—
668D4—82no—
669D4—82no—
670D4—82no—
671D4—81no—
672D4—81no—
673D4—164no—
674C2×C4—21no—
675C2×C4—21no—
676C2×C4—21no—
677C2×C4—21no—
678C2×C4—21no—
679C2×C4—21no—
680C2×C4—22no—
681C2×C4—22no—
682C2×C4—21no—
683C2×C4—22no—
684C2×C4—21no—
685C2×C4—22no—
686C2×C4—22no—
687C2×C4—21no—
688C2×C4—42no—
689C2×C4—42no—
690C2×C4—42no—
691C2×C4—41no—
692C2×C4—42no—
693C2×C4—41no—
694C2×C4—41no—
695C2×C4—42no—
696C2×C4—42no—
697C2×C4—42no—
698C2×C4—82no—
699C2×C4—82no—
700C2×C4—81no—
701C2×C4—82no—
702C2×C4#120×C3711yescharacteristic
703C2×C4#120×C3711yescharacteristic
704C2×C4#120×C3711yescharacteristic
705C2×C4C22×D4×C3711yescharacteristic
706C8—42no—
707C22—21no—
708C22—21no—
709C22—21no—
710C22—41no—
711C22—41no—
712C22—41no—
713C22—41no—
714C22—42no—
715C22—41no—
716C22—42no—
717C22—42no—
718C22—41no—
719C22—42no—
720C22—82no—
721C22—84no—
722C22—82no—
723C22—161no—
724C22C2×#120×C3711yescharacteristic
725C4—21no—
726C4—21no—
727C4—21no—
728C4—41no—
729C4—42no—
730C4—42no—
731C4—41no—
732C4—42no—
733C4—41no—
734C4—42no—
735C4—82no—
736C4—82no—
737C4C37×B(4,𝔽2)11yescharacteristic
738C4C37×B(4,𝔽2)11yescharacteristic
739C2—21no—
740C2—41no—
741C2—41no—
742C2—41no—
743C2—82no—
744C2—81no—
745C2—82no—
746C2C2×C37×B(4,𝔽2)11yescharacteristic
subgroupG/H
center, socleC2×C37C2×B(4,𝔽2)
commutator, Frattini, cosocleC2×D4C24×C37
LCSG ▷ C2×D4 ▷ 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×#3028C2semidirect
3. C37×#3027C2semidirect
4. C37×#3018C2semidirect
5. C37×#2200C2semidirect
6. C37×#2197C2semidirect
7. C37×#2126C2semidirect
8. C37×#2123C2semidirect
9. C37×#2122C2semidirect
13. C37×#560C22semidirect
17. C37×#551C22semidirect
43. C37×#354C22semidirect
44. C37×#353C22semidirect
45. C37×#352C22semidirect
46. C37×AΣL(1,𝔽16)C22semidirect
58. C2×#41×C37D4semidirect
60. C22×Q8×C37D4semidirect
70. C4⋊Q8×C37D4semidirect
85. #124×C37D4semidirect
92. #123×C37D4semidirect
128. #117×C37D4semidirect
131. C2×C42×C37D4semidirect
333. #33560C37direct (N × H)
366. #3551C2×C37semidirect
367. #3028C2×C37semidirect
368. #3027C2×C37semidirect
369. #3018C2×C37semidirect
370. #2200C2×C37semidirect
371. #2197C2×C37semidirect
372. #2126C2×C37semidirect
373. #2123C2×C37semidirect
374. #2122C2×C37semidirect
386. #560C22×C37semidirect
390. #551C22×C37semidirect
416. #354C22×C37semidirect
417. #353C22×C37semidirect
418. #352C22×C37semidirect
419. AΣL(1,𝔽16)C22×C37semidirect
420. C37#33560direct (N × H)
432. C2×#41D4×C37semidirect
434. C22×Q8D4×C37semidirect
444. C4⋊Q8D4×C37semidirect
459. #124D4×C37semidirect
466. #123D4×C37semidirect
502. #117D4×C37semidirect
505. C2×C42D4×C37semidirect

Maximal subgroups

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

subgroupindex
C37×#35512
C37×#30282
C37×#30272
C37×#30182
C37×#22002
C37×#21972
C37×#21262
C37×#21232
C37×#21222
#3356037