Finite Group Databasebeta

← C37×#33555 #22654808

Subgroups — C37×#33555 #22654808

Order 9472.

1146 conjugacy classes of subgroups.

The subgroup lattice has 754 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C37×#3540C211yesmaximal, characteristic, complemented
2C37×#3027C211yesmaximal, characteristic, complemented
3C37×#3025C211yesmaximal, characteristic, complemented
4C37×#3022C211yesmaximal, characteristic, complemented
5C37×#2199C214yesmaximal, complemented
6C37×#2197C214yesmaximal, complemented
7C37×#2129C211yesmaximal, characteristic, complemented
8C37×#2122C211yesmaximal, characteristic, complemented
9C37×#2120C211yesmaximal, characteristic, complemented
10C37×#585C2211yescharacteristic
11C2×#137×C37—21no—
12C37×H(3,𝔽4)C2212yescomplemented
13C37×#560—21no—
14C37×#559—21no—
15C37×#556—21no—
16C37×#555—21no—
17C37×#551C2212yescomplemented
18C37×#548—21no—
19C37×#546—21no—
20C37×#542—22no—
21C37×#542—21no—
22C37×#538—22no—
23C37×#536C2211yescharacteristic
24C37×#535—21no—
25C37×#535C2211yescharacteristic
26C37×#525—21no—
27C37×#525—21no—
28C37×#525C2211yescharacteristic
29C37×#458—21no—
30C37×#458C2212yes—
31C37×B(4,𝔽2)—21no—
32C37×B(4,𝔽2)—22no—
33C37×B(4,𝔽2)C2214yes—
34C37×B(4,𝔽2)C2212yes—
35C37×#456—22no—
36C37×#455C2214yes—
37C37×#421—21no—
38C37×#413C2211yescharacteristic
39C37×#410—21no—
40C37×#410—21no—
41C37×#410C2211yescharacteristic
42C37×#410C2211yescharacteristic
43C37×#354C2214yescomplemented
44C37×#352C2212yescomplemented
45C37×AΣL(1,𝔽16)C2212yescomplemented
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×C37C2311yescharacteristic
59C22×Q8×C37D411yescharacteristic, complemented
60C22×D4×C37D411yescharacteristic, complemented
61C23×C4×C37D411yescharacteristic, complemented
62#137×C37—24no—
63#137×C37—42no—
64C2×Q16×C37—41no—
65C2×SD16×C37—41no—
66C2×M16×C37—21no—
67C4⋊Q8×C37—21no—
68C4⋊Q8×C37D412yescomplemented
69#127×C37—21no—
70#127×C37—41no—
71#126×C37—22no—
72#126×C37—22no—
73#126×C37—22no—
74#124×C37—22no—
75#124×C37—21no—
76#124×C37—21no—
77#124×C37—22no—
78#124×C37—22no—
79#124×C37—22no—
80#124×C37—22no—
81#124×C37—41no—
82#124×C37C2312yes—
83#123×C37—22no—
84#123×C37—22no—
85#123×C37—21no—
86#123×C37—21no—
87#123×C37—22no—
88#123×C37—22no—
89#123×C37D411yescharacteristic, complemented
90#123×C37C2311yescharacteristic
91C22⋊Q8×C37—21no—
92C22⋊Q8×C37—22no—
93C22⋊Q8×C37—21no—
94C22⋊Q8×C37—22no—
95C22⋊Q8×C37—21no—
96C22⋊Q8×C37—21no—
97C22⋊Q8×C37—41no—
98#121×C37—21no—
99#121×C37—22no—
100#121×C37—22no—
101#121×C37—22no—
102#121×C37—21no—
103#121×C37—21no—
104#121×C37—21no—
105#121×C37—42no—
106#121×C37—41no—
107#120×C37—22no—
108#120×C37—22no—
109#120×C37—22no—
110#120×C37—24no—
111#120×C37D411yescharacteristic, complemented
112#120×C37D412yescomplemented
113#120×C37C2311yescharacteristic
114#120×C37C2312yes—
115C4×Q8×C37—21no—
116C4×Q8×C37—22no—
117C4×D4×C37—22no—
118C4×D4×C37—22no—
119C4×D4×C37—21no—
120C4×D4×C37—22no—
121C4×D4×C37—21no—
122C4×D4×C37—21no—
123C4×D4×C37—42no—
124#117×C37—21no—
125#117×C37—22no—
126#117×C37—21no—
127#117×C37—21no—
128#117×C37D411yescharacteristic, complemented
129#117×C37D411yescharacteristic, complemented
130#117×C37D411yescharacteristic, complemented
131C2×C22⋊C4×C37—22no—
132#104×C37—24no—
133#101×C37—21no—
134#100×C37C2312yes—
135#99×C37—21no—
136#99×C37—21no—
137#99×C37—24no—
138#99×C37—22no—
139#99×C37—22no—
140#99×C37C2312yes—
141#99×C37C2312yes—
142C24×C37C2×D412yes—
143C24×C37C2×D411yescharacteristic
144#41×C37—22no—
145#41×C37—22no—
146#41×C37—41no—
147#41×C37—41no—
148#41×C37—42no—
149#41×C37—41no—
150#41×C37—41no—
151#41×C37—41no—
152#41×C37—41no—
153#41×C37—41no—
154#41×C37—42no—
155#41×C37—42no—
156#41×C37—42no—
157#41×C37—41no—
158#41×C37—41no—
159#41×C37—41no—
160#41×C37—81no—
161#41×C37—81no—
162C2×Q8×C37—21no—
163C2×Q8×C37—21no—
164C2×Q8×C37—22no—
165C2×Q8×C37—21no—
166C2×Q8×C37—21no—
167C2×Q8×C37—41no—
168C2×Q8×C37—41no—
169C2×Q8×C37—42no—
170C2×Q8×C37C2×D412yes—
171C2×Q8×C37C2×D411yescharacteristic
172C2×D4×C37—21no—
173C2×D4×C37—21no—
174C2×D4×C37—21no—
175C2×D4×C37—22no—
176C2×D4×C37—22no—
177C2×D4×C37—22no—
178C2×D4×C37—22no—
179C2×D4×C37—21no—
180C2×D4×C37—22no—
181C2×D4×C37—21no—
182C2×D4×C37—22no—
183C2×D4×C37—21no—
184C2×D4×C37—21no—
185C2×D4×C37—41no—
186C2×D4×C37—41no—
187C2×D4×C37—42no—
188C2×D4×C37—42no—
189C2×D4×C37—42no—
190C2×D4×C37—41no—
191C2×D4×C37—42no—
192C2×D4×C37—44no—
193C2×D4×C37C2×D411yescharacteristic
194C2×D4×C37C2×D411yescharacteristic
195C2×D4×C37C2411yescharacteristic
196C22×C4×C37—22no—
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
209C22×C4×C37C2×D411yescharacteristic
210Q16×C37—44no—
211SD16×C37—44no—
212M16×C37—22no—
213M16×C37—41no—
214C2×C8×C37—41no—
215C4⋊C4×C37—22no—
216C4⋊C4×C37—22no—
217C4⋊C4×C37—22no—
218C4⋊C4×C37—21no—
219C4⋊C4×C37—21no—
220C4⋊C4×C37—22no—
221C4⋊C4×C37—22no—
222C4⋊C4×C37—21no—
223C4⋊C4×C37—21no—
224C4⋊C4×C37—21no—
225C4⋊C4×C37—41no—
226C4⋊C4×C37—41no—
227C4⋊C4×C37—42no—
228C22⋊C4×C37—22no—
229C22⋊C4×C37—22no—
230C22⋊C4×C37—22no—
231C22⋊C4×C37—22no—
232C22⋊C4×C37—22no—
233C22⋊C4×C37—22no—
234C22⋊C4×C37—21no—
235C22⋊C4×C37—21no—
236C22⋊C4×C37—21no—
237C22⋊C4×C37—22no—
238C22⋊C4×C37—22no—
239C22⋊C4×C37—21no—
240C22⋊C4×C37—22no—
241C22⋊C4×C37—22no—
242C22⋊C4×C37—21no—
243C22⋊C4×C37—22no—
244C22⋊C4×C37—22no—
245C22⋊C4×C37—42no—
246C22⋊C4×C37—44no—
247C22⋊C4×C37—42no—
248C22⋊C4×C37C2×D412yes—
249C22⋊C4×C37C2×D411yescharacteristic
250C22⋊C4×C37C2×D411yescharacteristic
251C42×C37—22no—
252C42×C37—22no—
253C42×C37—21no—
254C42×C37—21no—
255C42×C37—41no—
256C42×C37—41no—
257C42×C37C2×D412yes—
258C23×C37—22no—
259C23×C37—22no—
260C23×C37—22no—
261C23×C37—21no—
262C23×C37—41no—
263C23×C37—41no—
264C23×C37—42no—
265C23×C37—81no—
266C23×C37—82no—
267C23×C37#12011yescharacteristic
268C23×C37C22×D411yescharacteristic
269C23×C37C22×D411yescharacteristic
270Q8×C37—22no—
271Q8×C37—41no—
272Q8×C37—42no—
273Q8×C37—41no—
274Q8×C37—41no—
275Q8×C37—41no—
276Q8×C37—41no—
277Q8×C37—41no—
278Q8×C37—82no—
279D4×C37—22no—
280D4×C37—41no—
281D4×C37—41no—
282D4×C37—41no—
283D4×C37—41no—
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—81no—
294D4×C37—82no—
295D4×C37—82no—
296D4×C37—82no—
297D4×C37—81no—
298D4×C37—82no—
299D4×C37—84no—
300D4×C37—164no—
301C2×C4×C37—21no—
302C2×C4×C37—21no—
303C2×C4×C37—21no—
304C2×C4×C37—21no—
305C2×C4×C37—21no—
306C2×C4×C37—21no—
307C2×C4×C37—22no—
308C2×C4×C37—22no—
309C2×C4×C37—21no—
310C2×C4×C37—22no—
311C2×C4×C37—21no—
312C2×C4×C37—22no—
313C2×C4×C37—22no—
314C2×C4×C37—21no—
315C2×C4×C37—42no—
316C2×C4×C37—42no—
317C2×C4×C37—42no—
318C2×C4×C37—41no—
319C2×C4×C37—42no—
320C2×C4×C37—41no—
321C2×C4×C37—41no—
322C2×C4×C37—41no—
323C2×C4×C37—42no—
324C2×C4×C37—42no—
325C2×C4×C37—81no—
326C2×C4×C37—81no—
327C2×C4×C37—82no—
328C2×C4×C37—82no—
329C2×C4×C37#12011yescharacteristic
330C2×C4×C37#12011yescharacteristic
331C2×C4×C37#12011yescharacteristic
332C2×C4×C37C22×D411yescharacteristic
333C8×C37—42no—
334#33555C3711yesmaximal, characteristic, direct product factor, Sylow
335C22×C37—21no—
336C22×C37—21no—
337C22×C37—21no—
338C22×C37—41no—
339C22×C37—41no—
340C22×C37—41no—
341C22×C37—42no—
342C22×C37—41no—
343C22×C37—41no—
344C22×C37—42no—
345C22×C37—42no—
346C22×C37—42no—
347C22×C37—41no—
348C22×C37—42no—
349C22×C37—82no—
350C22×C37—82no—
351C22×C37—84no—
352C22×C37—81no—
353C22×C37—161no—
354C22×C37C2×#12011yescharacteristic
355C4×C37—21no—
356C4×C37—21no—
357C4×C37—21no—
358C4×C37—41no—
359C4×C37—42no—
360C4×C37—42no—
361C4×C37—41no—
362C4×C37—42no—
363C4×C37—41no—
364C4×C37—42no—
365C4×C37—82no—
366C4×C37—82no—
367C4×C37B(4,𝔽2)11yescharacteristic
368C4×C37B(4,𝔽2)11yescharacteristic
369#3540C2×C3711yescharacteristic, complemented
370#3027C2×C3711yescharacteristic, complemented
371#3025C2×C3711yescharacteristic, complemented
372#3022C2×C3711yescharacteristic, complemented
373#2199C2×C3714yescomplemented
374#2197C2×C3714yescomplemented
375#2129C2×C3711yescharacteristic, complemented
376#2122C2×C3711yescharacteristic, complemented
377#2120C2×C3711yescharacteristic, complemented
378C2×C37—21no—
379C2×C37—41no—
380C2×C37—41no—
381C2×C37—41no—
382C2×C37—81no—
383C2×C37—82no—
384C2×C37—82no—
385C2×C37C2×B(4,𝔽2)11yescharacteristic
386#585C22×C3711yescharacteristic
387C2×#137—21no—
388H(3,𝔽4)C22×C3712yescomplemented
389#560—21no—
390#559—21no—
391#556—21no—
392#555—21no—
393#551C22×C3712yescomplemented
394#548—21no—
395#546—21no—
396#542—22no—
397#542—21no—
398#538—22no—
399#536C22×C3711yescharacteristic
400#535—21no—
401#535C22×C3711yescharacteristic
402#525—21no—
403#525—21no—
404#525C22×C3711yescharacteristic
405#458—21no—
406#458C22×C3712yes—
407B(4,𝔽2)—21no—
408B(4,𝔽2)—22no—
409B(4,𝔽2)C22×C3714yes—
410B(4,𝔽2)C22×C3712yes—
411#456—22no—
412#455C22×C3714yes—
413#421—21no—
414#413C22×C3711yescharacteristic
415#410—21no—
416#410—21no—
417#410C22×C3711yescharacteristic
418#410C22×C3711yescharacteristic
419#354C22×C3714yescomplemented
420#352C22×C3712yescomplemented
421AΣL(1,𝔽16)C22×C3712yescomplemented
422AΣL(1,𝔽16)C22×C3714yescomplemented
423C37#3355511yescharacteristic, direct product factor, Sylow
4242−1+4—21no—
4252−1+4—41no—
426H(5,𝔽2)—21no—
427H(5,𝔽2)—21no—
428H(5,𝔽2)—41no—
429H(5,𝔽2)C23×C3712yes—
430C2×#41—21no—
431C2×#41—21no—
432C2×#41—21no—
433C2×#41—21no—
434C2×#41—42no—
435C2×#41C23×C3711yescharacteristic
436C22×Q8D4×C3711yescharacteristic, complemented
437C22×D4D4×C3711yescharacteristic, complemented
438C23×C4D4×C3711yescharacteristic, complemented
439#137—24no—
440#137—42no—
441C2×Q16—41no—
442C2×SD16—41no—
443C2×M16—21no—
444C4⋊Q8—21no—
445C4⋊Q8D4×C3712yescomplemented
446#127—21no—
447#127—41no—
448#126—22no—
449#126—22no—
450#126—22no—
451#124—22no—
452#124—21no—
453#124—21no—
454#124—22no—
455#124—22no—
456#124—22no—
457#124—22no—
458#124—41no—
459#124C23×C3712yes—
460#123—22no—
461#123—22no—
462#123—21no—
463#123—21no—
464#123—22no—
465#123—22no—
466#123D4×C3711yescharacteristic, complemented
467#123C23×C3711yescharacteristic
468C22⋊Q8—21no—
469C22⋊Q8—22no—
470C22⋊Q8—21no—
471C22⋊Q8—22no—
472C22⋊Q8—21no—
473C22⋊Q8—21no—
474C22⋊Q8—41no—
475#121—21no—
476#121—22no—
477#121—22no—
478#121—22no—
479#121—21no—
480#121—21no—
481#121—21no—
482#121—42no—
483#121—41no—
484#120—22no—
485#120—22no—
486#120—22no—
487#120—24no—
488#120D4×C3711yescharacteristic, complemented
489#120D4×C3712yescomplemented
490#120C23×C3711yescharacteristic
491#120C23×C3712yes—
492C4×Q8—21no—
493C4×Q8—22no—
494C4×D4—22no—
495C4×D4—22no—
496C4×D4—21no—
497C4×D4—22no—
498C4×D4—21no—
499C4×D4—21no—
500C4×D4—42no—
501#117—21no—
502#117—22no—
503#117—21no—
504#117—21no—
505#117D4×C3711yescharacteristic, complemented
506#117D4×C3711yescharacteristic, complemented
507#117D4×C3711yescharacteristic, complemented
508C2×C22⋊C4—22no—
509#104—24no—
510#101—21no—
511#100C23×C3712yes—
512#99—21no—
513#99—21no—
514#99—24no—
515#99—22no—
516#99—22no—
517#99C23×C3712yes—
518#99C23×C3712yes—
519C24C2×D4×C3712yes—
520C24C2×D4×C3711yescharacteristic
521#41—22no—
522#41—22no—
523#41—41no—
524#41—41no—
525#41—42no—
526#41—41no—
527#41—41no—
528#41—41no—
529#41—41no—
530#41—41no—
531#41—42no—
532#41—42no—
533#41—42no—
534#41—41no—
535#41—41no—
536#41—41no—
537#41—81no—
538#41—81no—
539C2×Q8—21no—
540C2×Q8—21no—
541C2×Q8—22no—
542C2×Q8—21no—
543C2×Q8—21no—
544C2×Q8—41no—
545C2×Q8—41no—
546C2×Q8—42no—
547C2×Q8C2×D4×C3712yes—
548C2×Q8C2×D4×C3711yescharacteristic
549C2×D4—21no—
550C2×D4—21no—
551C2×D4—21no—
552C2×D4—22no—
553C2×D4—22no—
554C2×D4—22no—
555C2×D4—22no—
556C2×D4—21no—
557C2×D4—22no—
558C2×D4—21no—
559C2×D4—22no—
560C2×D4—21no—
561C2×D4—21no—
562C2×D4—41no—
563C2×D4—41no—
564C2×D4—42no—
565C2×D4—42no—
566C2×D4—42no—
567C2×D4—41no—
568C2×D4—42no—
569C2×D4—44no—
570C2×D4C2×D4×C3711yescharacteristic
571C2×D4C2×D4×C3711yescharacteristic
572C2×D4C24×C3711yescharacteristic
573C22×C4—22no—
574C22×C4—22no—
575C22×C4—22no—
576C22×C4—22no—
577C22×C4—21no—
578C22×C4—21no—
579C22×C4—21no—
580C22×C4—41no—
581C22×C4—41no—
582C22×C4—41no—
583C22×C4C2×D4×C3711yescharacteristic
584C22×C4C2×D4×C3711yescharacteristic
585C22×C4C2×D4×C3711yescharacteristic
586C22×C4C2×D4×C3711yescharacteristic
587Q16—44no—
588SD16—44no—
589M16—22no—
590M16—41no—
591C2×C8—41no—
592C4⋊C4—22no—
593C4⋊C4—22no—
594C4⋊C4—22no—
595C4⋊C4—21no—
596C4⋊C4—21no—
597C4⋊C4—21no—
598C4⋊C4—21no—
599C4⋊C4—22no—
600C4⋊C4—22no—
601C4⋊C4—21no—
602C4⋊C4—41no—
603C4⋊C4—41no—
604C4⋊C4—42no—
605C22⋊C4—22no—
606C22⋊C4—22no—
607C22⋊C4—22no—
608C22⋊C4—22no—
609C22⋊C4—22no—
610C22⋊C4—22no—
611C22⋊C4—21no—
612C22⋊C4—21no—
613C22⋊C4—21no—
614C22⋊C4—22no—
615C22⋊C4—22no—
616C22⋊C4—21no—
617C22⋊C4—22no—
618C22⋊C4—22no—
619C22⋊C4—21no—
620C22⋊C4—22no—
621C22⋊C4—22no—
622C22⋊C4—42no—
623C22⋊C4—44no—
624C22⋊C4—42no—
625C22⋊C4C2×D4×C3712yes—
626C22⋊C4C2×D4×C3711yescharacteristic
627C22⋊C4C2×D4×C3711yescharacteristic
628C42—22no—
629C42—22no—
630C42—21no—
631C42—21no—
632C42—41no—
633C42—41no—
634C42C2×D4×C3712yes—
635C23—22no—
636C23—22no—
637C23—22no—
638C23—21no—
639C23—41no—
640C23—41no—
641C23—42no—
642C23—81no—
643C23—82no—
644C23#120×C3711yescharacteristic
645C23C22×D4×C3711yescharacteristic
646C23C22×D4×C3711yescharacteristic
647Q8—22no—
648Q8—41no—
649Q8—42no—
650Q8—41no—
651Q8—41no—
652Q8—41no—
653Q8—41no—
654Q8—41no—
655Q8—82no—
656D4—22no—
657D4—41no—
658D4—41no—
659D4—41no—
660D4—41no—
661D4—41no—
662D4—42no—
663D4—42no—
664D4—42no—
665D4—42no—
666D4—41no—
667D4—41no—
668D4—41no—
669D4—81no—
670D4—82no—
671D4—81no—
672D4—82no—
673D4—82no—
674D4—82no—
675D4—81no—
676D4—84no—
677D4—164no—
678C2×C4—21no—
679C2×C4—21no—
680C2×C4—21no—
681C2×C4—21no—
682C2×C4—21no—
683C2×C4—21no—
684C2×C4—22no—
685C2×C4—22no—
686C2×C4—21no—
687C2×C4—22no—
688C2×C4—21no—
689C2×C4—22no—
690C2×C4—22no—
691C2×C4—21no—
692C2×C4—42no—
693C2×C4—42no—
694C2×C4—42no—
695C2×C4—41no—
696C2×C4—42no—
697C2×C4—41no—
698C2×C4—41no—
699C2×C4—41no—
700C2×C4—42no—
701C2×C4—42no—
702C2×C4—81no—
703C2×C4—81no—
704C2×C4—82no—
705C2×C4—82no—
706C2×C4#120×C3711yescharacteristic
707C2×C4#120×C3711yescharacteristic
708C2×C4#120×C3711yescharacteristic
709C2×C4C22×D4×C3711yescharacteristic
710C8—42no—
711C22—21no—
712C22—21no—
713C22—21no—
714C22—41no—
715C22—41no—
716C22—41no—
717C22—42no—
718C22—41no—
719C22—41no—
720C22—42no—
721C22—42no—
722C22—42no—
723C22—41no—
724C22—42no—
725C22—82no—
726C22—82no—
727C22—84no—
728C22—81no—
729C22—161no—
730C22C2×#120×C3711yescharacteristic
731C4—21no—
732C4—21no—
733C4—21no—
734C4—41no—
735C4—42no—
736C4—42no—
737C4—41no—
738C4—42no—
739C4—41no—
740C4—42no—
741C4—82no—
742C4—82no—
743C4C37×B(4,𝔽2)11yescharacteristic
744C4C37×B(4,𝔽2)11yescharacteristic
745C2—21no—
746C2—41no—
747C2—41no—
748C2—41no—
749C2—81no—
750C2—82no—
751C2—82no—
752C2C2×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×#3540C2semidirect
2. C37×#3027C2semidirect
3. C37×#3025C2semidirect
4. C37×#3022C2semidirect
5. C37×#2199C2semidirect
6. C37×#2197C2semidirect
7. C37×#2129C2semidirect
8. C37×#2122C2semidirect
9. C37×#2120C2semidirect
12. C37×H(3,𝔽4)C22semidirect
17. C37×#551C22semidirect
43. C37×#354C22semidirect
44. C37×#352C22semidirect
45. C37×AΣL(1,𝔽16)C22semidirect
46. C37×AΣL(1,𝔽16)C22semidirect
59. C22×Q8×C37D4semidirect
60. C22×D4×C37D4semidirect
61. C23×C4×C37D4semidirect
68. C4⋊Q8×C37D4semidirect
89. #123×C37D4semidirect
111. #120×C37D4semidirect
112. #120×C37D4semidirect
128. #117×C37D4semidirect
129. #117×C37D4semidirect
130. #117×C37D4semidirect
334. #33555C37direct (N × H)
369. #3540C2×C37semidirect
370. #3027C2×C37semidirect
371. #3025C2×C37semidirect
372. #3022C2×C37semidirect
373. #2199C2×C37semidirect
374. #2197C2×C37semidirect
375. #2129C2×C37semidirect
376. #2122C2×C37semidirect
377. #2120C2×C37semidirect
388. H(3,𝔽4)C22×C37semidirect
393. #551C22×C37semidirect
419. #354C22×C37semidirect
420. #352C22×C37semidirect
421. AΣL(1,𝔽16)C22×C37semidirect
422. AΣL(1,𝔽16)C22×C37semidirect
423. C37#33555direct (N × H)
436. C22×Q8D4×C37semidirect
437. C22×D4D4×C37semidirect
438. C23×C4D4×C37semidirect
445. C4⋊Q8D4×C37semidirect
466. #123D4×C37semidirect
488. #120D4×C37semidirect
489. #120D4×C37semidirect
505. #117D4×C37semidirect
506. #117D4×C37semidirect
507. #117D4×C37semidirect

Maximal subgroups

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

subgroupindex
C37×#35402
C37×#30272
C37×#30252
C37×#30222
C37×#21992
C37×#21972
C37×#21292
C37×#21222
C37×#21202
#3355537