Finite Group Databasebeta

← C31×#24033 #21480792

Subgroups — C31×#24033 #21480792

Order 7936.

1802 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D42×C31C211yesmaximal, characteristic
2C2×C31×#481C211yesmaximal, characteristic, complemented
3C22×C31×#102C211yesmaximal, characteristic, complemented
4C31×#2487C211yesmaximal, characteristic, complemented
5C31×#2041C212yesmaximal, complemented
6C31×#2034C212yesmaximal, complemented
7C31×#1893C211yesmaximal, characteristic, complemented
8C31×#1869C211yesmaximal, characteristic, complemented
9C31×#1864C212yesmaximal, complemented
10C31×#1786C211yesmaximal, characteristic, complemented
11C31×#1786C212yesmaximal, complemented
12C23×D4×C31—21no—
13C23×D4×C31C2211yescharacteristic
14C23×D4×C31C2211yescharacteristic
15C23×C8×C31C2211yescharacteristic, complemented
16D42×C31—24no—
17D42×C31—24no—
18C2×C31×#127C2211yescharacteristic
19C2×C31×#121—21no—
20C2×C31×#121C2211yescharacteristic
21C2×C31×#121C2211yescharacteristic
22C2×C31×#120—21no—
23C2×C31×#120—21no—
24C2×C4×D4×C31C2211yescharacteristic
25C2×C4×D4×C31C2211yescharacteristic
26C22×C4⋊C4×C31C2211yescharacteristic, complemented
27C31×#481—24no—
28C2×C31×#106C2212yescomplemented
29C2×C31×#102—24no—
30C2×C31×#102C2212yes—
31C2×C31×#102C2212yes—
32C2×C31×#102C2212yescomplemented
33C2×C31×#102C2212yescomplemented
34C2×C31×#102C2212yescomplemented
35C2×C31×#102C2212yescomplemented
36C2×C31×C22⋊C8C2211yescharacteristic, complemented
37C2×C31×C22⋊C8C2212yescomplemented
38C31×#400—21no—
39C31×#399—21no—
40C31×#389C2212yescomplemented
41C31×#386—21no—
42C31×#385—21no—
43C31×#380C2211yescharacteristic, complemented
44C31×#380C2212yescomplemented
45C31×#340C2212yescomplemented
46C31×#336C2212yescomplemented
47C25×C31—21no—
48C25×C31—21no—
49C22×D4×C31—24no—
50C22×D4×C31—28no—
51C22×D4×C31—21no—
52C22×D4×C31—21no—
53C22×D4×C31—22no—
54C22×D4×C31—22no—
55C22×D4×C31—24no—
56C22×D4×C31—21no—
57C22×D4×C31—21no—
58C22×D4×C31—21no—
59C22×D4×C31—22no—
60C22×D4×C31—21no—
61C22×D4×C31—42no—
62C22×D4×C31—42no—
63C22×D4×C31—44no—
64C22×D4×C31—44no—
65C22×D4×C31D411yescharacteristic
66C22×D4×C31D414yes—
67C22×D4×C31C2311yescharacteristic
68C22×D4×C31C2311yescharacteristic
69C22×D4×C31C2311yescharacteristic
70C23×C4×C31—21no—
71C23×C4×C31—21no—
72C23×C4×C31C2311yescharacteristic
73C23×C4×C31C2311yescharacteristic
74C22×C8×C31—22no—
75C22×C8×C31—42no—
76C22×C8×C31C2312yes—
77C22×C8×C31C2312yes—
78C31×#127—22no—
79C31×#127—22no—
80C31×#121—28no—
81C31×#121—22no—
82C31×#121—22no—
83C31×#121—22no—
84C31×#121D414yes—
85C31×#120—28no—
86C31×#120—28no—
87C4×D4×C31—22no—
88C4×D4×C31—22no—
89C4×D4×C31—22no—
90C4×D4×C31—22no—
91C2×C4⋊C4×C31—22no—
92C2×C4⋊C4×C31—22no—
93C2×C4⋊C4×C31—21no—
94C2×C4⋊C4×C31—22no—
95C2×C4⋊C4×C31D411yescharacteristic
96C2×C4⋊C4×C31C2312yes—
97C2×C4⋊C4×C31C2312yes—
98C2×C4⋊C4×C31C2311yescharacteristic
99C2×C22⋊C4×C31—21no—
100C2×C22⋊C4×C31—21no—
101C2×C22⋊C4×C31—21no—
102C2×C22⋊C4×C31—21no—
103C2×C22⋊C4×C31—22no—
104C2×C22⋊C4×C31D411yescharacteristic
105C2×C22⋊C4×C31D411yescharacteristic
106C2×C42×C31C2311yescharacteristic
107C31×#106—24no—
108C31×#102—24no—
109C31×#102—24no—
110C31×#102—24no—
111C31×#102—24no—
112C31×#102—42no—
113C31×#102—42no—
114C31×C22⋊C8—22no—
115C31×C22⋊C8—42no—
116C31×#95—21no—
117C31×#95—22no—
118C31×#95—22no—
119C24×C31—21no—
120C24×C31—24no—
121C24×C31—21no—
122C24×C31—21no—
123C24×C31—24no—
124C24×C31—44no—
125C24×C31—44no—
126C24×C31—42no—
127C24×C31—42no—
128C24×C31—42no—
129C24×C31—42no—
130C24×C31—82no—
131C24×C31—82no—
132C24×C31C2×D411yescharacteristic
133C24×C31C2×D411yescharacteristic
134C2×D4×C31—22no—
135C2×D4×C31—22no—
136C2×D4×C31—28no—
137C2×D4×C31—24no—
138C2×D4×C31—24no—
139C2×D4×C31—24no—
140C2×D4×C31—24no—
141C2×D4×C31—24no—
142C2×D4×C31—24no—
143C2×D4×C31—21no—
144C2×D4×C31—21no—
145C2×D4×C31—21no—
146C2×D4×C31—22no—
147C2×D4×C31—22no—
148C2×D4×C31—22no—
149C2×D4×C31—22no—
150C2×D4×C31—22no—
151C2×D4×C31—44no—
152C2×D4×C31—48no—
153C2×D4×C31—44no—
154C2×D4×C31—44no—
155C2×D4×C31—42no—
156C2×D4×C31—48no—
157C2×D4×C31—432no—
158C2×D4×C31—44no—
159C2×D4×C31—42no—
160C2×D4×C31—42no—
161C2×D4×C31—42no—
162C2×D4×C31—42no—
163C2×D4×C31—44no—
164C2×D4×C31—42no—
165C2×D4×C31—82no—
166C2×D4×C31SD1614yes—
167C2×D4×C31C2×D412yes—
168C2×D4×C31C2×D412yes—
169C2×D4×C31C2×D412yes—
170C2×D4×C31#4114yes—
171C22×C4×C31—22no—
172C22×C4×C31—22no—
173C22×C4×C31—24no—
174C22×C4×C31—21no—
175C22×C4×C31—21no—
176C22×C4×C31—21no—
177C22×C4×C31—22no—
178C22×C4×C31—22no—
179C22×C4×C31—22no—
180C22×C4×C31—22no—
181C22×C4×C31—42no—
182C22×C4×C31—42no—
183C22×C4×C31—42no—
184C22×C4×C31—82no—
185C22×C4×C31C2×D411yescharacteristic
186C22×C4×C31C2×D411yescharacteristic
187C22×C4×C31C2×D411yescharacteristic
188C22×C4×C31C2×D412yes—
189C22×C4×C31C2×D412yes—
190C22×C4×C31C2×D411yescharacteristic
191C22×C4×C31C2411yescharacteristic
192C2×C8×C31—22no—
193C2×C8×C31—22no—
194C2×C8×C31—22no—
195C2×C8×C31—22no—
196C2×C8×C31—22no—
197C2×C8×C31—22no—
198C2×C8×C31—44no—
199C4⋊C4×C31—22no—
200C4⋊C4×C31—21no—
201C4⋊C4×C31—22no—
202C4⋊C4×C31—22no—
203C4⋊C4×C31—22no—
204C4⋊C4×C31—22no—
205C4⋊C4×C31—42no—
206C4⋊C4×C31—82no—
207C4⋊C4×C31C2×D412yes—
208C22⋊C4×C31—24no—
209C22⋊C4×C31—24no—
210C22⋊C4×C31—22no—
211C22⋊C4×C31—24no—
212C22⋊C4×C31—22no—
213C22⋊C4×C31—42no—
214C22⋊C4×C31—82no—
215C42×C31—21no—
216C42×C31—21no—
217#24033C3111yesmaximal, characteristic, direct product factor, Sylow
218C23×C31—22no—
219C23×C31—22no—
220C23×C31—21no—
221C23×C31—22no—
222C23×C31—22no—
223C23×C31—24no—
224C23×C31—21no—
225C23×C31—22no—
226C23×C31—22no—
227C23×C31—22no—
228C23×C31—48no—
229C23×C31—48no—
230C23×C31—48no—
231C23×C31—41no—
232C23×C31—41no—
233C23×C31—42no—
234C23×C31—42no—
235C23×C31—42no—
236C23×C31—41no—
237C23×C31—41no—
238C23×C31—41no—
239C23×C31—41no—
240C23×C31—42no—
241C23×C31—42no—
242C23×C31—48no—
243C23×C31—84no—
244C23×C31—88no—
245C23×C31—88no—
246C23×C31—88no—
247C23×C31—84no—
248C23×C31—88no—
249C23×C31#12012yes—
250C23×C31C2×SD1612yes—
251C23×C31C2×SD1612yes—
252C23×C31AGL(1,ℤ/8)12yes—
253C23×C31C22×D411yescharacteristic
254D4×C31—28no—
255D4×C31—22no—
256D4×C31—22no—
257D4×C31—22no—
258D4×C31—24no—
259D4×C31—24no—
260D4×C31—48no—
261D4×C31—48no—
262D4×C31—48no—
263D4×C31—48no—
264D4×C31—48no—
265D4×C31—41no—
266D4×C31—41no—
267D4×C31—42no—
268D4×C31—84no—
269D4×C31#12314yes—
270C2×C4×C31—21no—
271C2×C4×C31—22no—
272C2×C4×C31—21no—
273C2×C4×C31—22no—
274C2×C4×C31—22no—
275C2×C4×C31—24no—
276C2×C4×C31—21no—
277C2×C4×C31—21no—
278C2×C4×C31—22no—
279C2×C4×C31—22no—
280C2×C4×C31—22no—
281C2×C4×C31—48no—
282C2×C4×C31—41no—
283C2×C4×C31—41no—
284C2×C4×C31—41no—
285C2×C4×C31—41no—
286C2×C4×C31—42no—
287C2×C4×C31—42no—
288C2×C4×C31—42no—
289C2×C4×C31—42no—
290C2×C4×C31—42no—
291C2×C4×C31—42no—
292C2×C4×C31—42no—
293C2×C4×C31—84no—
294C2×C4×C31#12012yes—
295C2×C4×C31C2×SD1612yes—
296C2×C4×C31C22×D411yescharacteristic
297C2×C4×C31C22×D411yescharacteristic
298C2×C4×C31C2×#4112yes—
299C2×C4×C31H(5,𝔽2)12yes—
300C8×C31—42no—
301C8×C31—42no—
302C2×D42C2×C3111yescharacteristic
303C2×#481C2×C3111yescharacteristic, complemented
304C22×#102C2×C3111yescharacteristic, complemented
305#2487C2×C3111yescharacteristic, complemented
306#2041C2×C3112yescomplemented
307#2034C2×C3112yescomplemented
308#1893C2×C3111yescharacteristic, complemented
309#1869C2×C3111yescharacteristic, complemented
310#1864C2×C3112yescomplemented
311#1786C2×C3112yescomplemented
312#1786C2×C3111yescharacteristic, complemented
313C22×C31—22no—
314C22×C31—22no—
315C22×C31—24no—
316C22×C31—24no—
317C22×C31—24no—
318C22×C31—22no—
319C22×C31—24no—
320C22×C31—41no—
321C22×C31—42no—
322C22×C31—41no—
323C22×C31—42no—
324C22×C31—44no—
325C22×C31—42no—
326C22×C31—44no—
327C22×C31—42no—
328C22×C31—42no—
329C22×C31—42no—
330C22×C31—42no—
331C22×C31—42no—
332C22×C31—42no—
333C22×C31—816no—
334C22×C31—816no—
335C22×C31—82no—
336C22×C31—82no—
337C22×C31—82no—
338C22×C31—82no—
339C22×C31#45014yes—
340C22×C31C2×#12011yescharacteristic
341C22×C31#54612yes—
342C22×C31C22×SD1611yescharacteristic
343C22×C31C2×AGL(1,ℤ/8)11yescharacteristic
344C22×C31#57612yes—
345C4×C31—22no—
346C4×C31—22no—
347C4×C31—41no—
348C4×C31—42no—
349C4×C31—41no—
350C4×C31—82no—
351C4×C31—82no—
352C4×C31C2×#12311yescharacteristic
353C4×C31#53411yescharacteristic
354C4×C31#54612yes—
355C23×D4—21no—
356C23×D4C22×C3111yescharacteristic
357C23×D4C22×C3111yescharacteristic
358C23×C8C22×C3111yescharacteristic, complemented
359D42—24no—
360D42—24no—
361C2×#127C22×C3111yescharacteristic
362C2×#121—21no—
363C2×#121C22×C3111yescharacteristic
364C2×#121C22×C3111yescharacteristic
365C2×#120—21no—
366C2×#120—21no—
367C2×C4×D4C22×C3111yescharacteristic
368C2×C4×D4C22×C3111yescharacteristic
369C22×C4⋊C4C22×C3111yescharacteristic, complemented
370#481—24no—
371C2×#106C22×C3112yescomplemented
372C2×#102—24no—
373C2×#102C22×C3112yes—
374C2×#102C22×C3112yes—
375C2×#102C22×C3112yescomplemented
376C2×#102C22×C3112yescomplemented
377C2×#102C22×C3112yescomplemented
378C2×#102C22×C3112yescomplemented
379C2×C22⋊C8C22×C3111yescharacteristic, complemented
380C2×C22⋊C8C22×C3112yescomplemented
381#400—21no—
382#399—21no—
383#389C22×C3112yescomplemented
384#386—21no—
385#385—21no—
386#380C22×C3111yescharacteristic, complemented
387#380C22×C3112yescomplemented
388#340C22×C3112yescomplemented
389#336C22×C3112yescomplemented
390C2×C31—24no—
391C2×C31—42no—
392C2×C31—44no—
393C2×C31—82no—
394C2×C31—82no—
395C2×C31#240511yescharacteristic
396C2×C31C2×#45011yescharacteristic
397C2×C31#300811yescharacteristic
398C2×C31#329512yes—
399C2×C31#331812yes—
400C25—21no—
401C25—21no—
402C22×D4—24no—
403C22×D4—28no—
404C22×D4—21no—
405C22×D4—21no—
406C22×D4—22no—
407C22×D4—22no—
408C22×D4—24no—
409C22×D4—21no—
410C22×D4—21no—
411C22×D4—21no—
412C22×D4—22no—
413C22×D4—21no—
414C22×D4—42no—
415C22×D4—42no—
416C22×D4—44no—
417C22×D4—44no—
418C22×D4D4×C3111yescharacteristic
419C22×D4D4×C3114yes—
420C22×D4C23×C3111yescharacteristic
421C22×D4C23×C3111yescharacteristic
422C22×D4C23×C3111yescharacteristic
423C23×C4—21no—
424C23×C4—21no—
425C23×C4C23×C3111yescharacteristic
426C23×C4C23×C3111yescharacteristic
427C22×C8—22no—
428C22×C8—42no—
429C22×C8C23×C3112yes—
430C22×C8C23×C3112yes—
431#127—22no—
432#127—22no—
433#121—28no—
434#121—22no—
435#121—22no—
436#121—22no—
437#121D4×C3114yes—
438#120—28no—
439#120—28no—
440C4×D4—22no—
441C4×D4—22no—
442C4×D4—22no—
443C4×D4—22no—
444C2×C4⋊C4—22no—
445C2×C4⋊C4—22no—
446C2×C4⋊C4—21no—
447C2×C4⋊C4—22no—
448C2×C4⋊C4D4×C3111yescharacteristic
449C2×C4⋊C4C23×C3112yes—
450C2×C4⋊C4C23×C3112yes—
451C2×C4⋊C4C23×C3111yescharacteristic
452C2×C22⋊C4—21no—
453C2×C22⋊C4—21no—
454C2×C22⋊C4—21no—
455C2×C22⋊C4—21no—
456C2×C22⋊C4—22no—
457C2×C22⋊C4D4×C3111yescharacteristic
458C2×C22⋊C4D4×C3111yescharacteristic
459C2×C42C23×C3111yescharacteristic
460#106—24no—
461#102—24no—
462#102—24no—
463#102—24no—
464#102—24no—
465#102—42no—
466#102—42no—
467C22⋊C8—22no—
468C22⋊C8—42no—
469#95—22no—
470#95—21no—
471#95—22no—
472C31#2403311yescharacteristic, direct product factor, Sylow
473C24—21no—
474C24—24no—
475C24—21no—
476C24—21no—
477C24—24no—
478C24—44no—
479C24—44no—
480C24—42no—
481C24—42no—
482C24—42no—
483C24—42no—
484C24—82no—
485C24—82no—
486C24C2×D4×C3111yescharacteristic
487C24C2×D4×C3111yescharacteristic
488C2×D4—22no—
489C2×D4—22no—
490C2×D4—28no—
491C2×D4—24no—
492C2×D4—24no—
493C2×D4—24no—
494C2×D4—24no—
495C2×D4—24no—
496C2×D4—24no—
497C2×D4—21no—
498C2×D4—21no—
499C2×D4—21no—
500C2×D4—22no—
501C2×D4—22no—
502C2×D4—22no—
503C2×D4—22no—
504C2×D4—22no—
505C2×D4—44no—
506C2×D4—48no—
507C2×D4—44no—
508C2×D4—44no—
509C2×D4—42no—
510C2×D4—48no—
511C2×D4—432no—
512C2×D4—44no—
513C2×D4—42no—
514C2×D4—42no—
515C2×D4—42no—
516C2×D4—42no—
517C2×D4—44no—
518C2×D4—42no—
519C2×D4—82no—
520C2×D4SD16×C3114yes—
521C2×D4C2×D4×C3112yes—
522C2×D4C2×D4×C3112yes—
523C2×D4C2×D4×C3112yes—
524C2×D4#41×C3114yes—
525C22×C4—22no—
526C22×C4—22no—
527C22×C4—24no—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—21no—
531C22×C4—22no—
532C22×C4—22no—
533C22×C4—22no—
534C22×C4—22no—
535C22×C4—42no—
536C22×C4—42no—
537C22×C4—42no—
538C22×C4—82no—
539C22×C4C2×D4×C3111yescharacteristic
540C22×C4C2×D4×C3111yescharacteristic
541C22×C4C2×D4×C3111yescharacteristic
542C22×C4C2×D4×C3112yes—
543C22×C4C2×D4×C3112yes—
544C22×C4C2×D4×C3111yescharacteristic
545C22×C4C24×C3111yescharacteristic
546C2×C8—22no—
547C2×C8—22no—
548C2×C8—22no—
549C2×C8—22no—
550C2×C8—22no—
551C2×C8—22no—
552C2×C8—44no—
553C4⋊C4—22no—
554C4⋊C4—21no—
555C4⋊C4—22no—
556C4⋊C4—22no—
557C4⋊C4—22no—
558C4⋊C4—22no—
559C4⋊C4—42no—
560C4⋊C4—82no—
561C4⋊C4C2×D4×C3112yes—
562C22⋊C4—24no—
563C22⋊C4—24no—
564C22⋊C4—22no—
565C22⋊C4—24no—
566C22⋊C4—22no—
567C22⋊C4—42no—
568C22⋊C4—82no—
569C42—21no—
570C42—21no—
571C23—22no—
572C23—22no—
573C23—21no—
574C23—22no—
575C23—22no—
576C23—24no—
577C23—21no—
578C23—22no—
579C23—22no—
580C23—22no—
581C23—48no—
582C23—48no—
583C23—48no—
584C23—41no—
585C23—41no—
586C23—42no—
587C23—48no—
588C23—42no—
589C23—42no—
590C23—41no—
591C23—41no—
592C23—41no—
593C23—41no—
594C23—42no—
595C23—42no—
596C23—84no—
597C23—88no—
598C23—88no—
599C23—88no—
600C23—84no—
601C23—88no—
602C23C31×#12012yes—
603C23C2×SD16×C3112yes—
604C23C2×SD16×C3112yes—
605C23C31×AGL(1,ℤ/8)12yes—
606C23C22×D4×C3111yescharacteristic
607D4—28no—
608D4—22no—
609D4—22no—
610D4—22no—
611D4—24no—
612D4—24no—
613D4—48no—
614D4—48no—
615D4—48no—
616D4—48no—
617D4—48no—
618D4—41no—
619D4—41no—
620D4—42no—
621D4—84no—
622D4C31×#12314yes—
623C2×C4—21no—
624C2×C4—22no—
625C2×C4—21no—
626C2×C4—22no—
627C2×C4—22no—
628C2×C4—24no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—48no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—42no—
640C2×C4—42no—
641C2×C4—42no—
642C2×C4—42no—
643C2×C4—42no—
644C2×C4—42no—
645C2×C4—42no—
646C2×C4—84no—
647C2×C4C31×#12012yes—
648C2×C4C2×SD16×C3112yes—
649C2×C4C22×D4×C3111yescharacteristic
650C2×C4C22×D4×C3111yescharacteristic
651C2×C4C2×#41×C3112yes—
652C2×C4C31×H(5,𝔽2)12yes—
653C8—42no—
654C8—42no—
655C22—22no—
656C22—22no—
657C22—24no—
658C22—24no—
659C22—24no—
660C22—22no—
661C22—24no—
662C22—41no—
663C22—42no—
664C22—41no—
665C22—42no—
666C22—44no—
667C22—42no—
668C22—44no—
669C22—42no—
670C22—42no—
671C22—42no—
672C22—42no—
673C22—42no—
674C22—42no—
675C22—816no—
676C22—816no—
677C22—82no—
678C22—82no—
679C22—82no—
680C22—82no—
681C22C31×#45014yes—
682C22C2×C31×#12011yescharacteristic
683C22C31×#54612yes—
684C22C22×SD16×C3111yescharacteristic
685C22C2×C31×AGL(1,ℤ/8)11yescharacteristic
686C22C31×#57612yes—
687C4—22no—
688C4—22no—
689C4—41no—
690C4—42no—
691C4—41no—
692C4—82no—
693C4—82no—
694C4C2×C31×#12311yescharacteristic
695C4C31×#53411yescharacteristic
696C4C31×#54612yes—
697C2—24no—
698C2—42no—
699C2—44no—
700C2—82no—
701C2—82no—
702C2C31×#240511yescharacteristic
703C2C2×C31×#45011yescharacteristic
704C2C31×#300811yescharacteristic
705C2C31×#329512yes—
706C2C31×#331812yes—
subgroupG/H
center, socleC23×C31C22×D4
commutator, Frattini, cosocleC22×C4C24×C31
prime radicalC2×D42×C31C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C31 ◁ C2×C4×D4×C31 ◁ G

Complements

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

NH ≅ G/Ntype
2. C2×C31×#481C2semidirect
3. C22×C31×#102C2semidirect
4. C31×#2487C2semidirect
5. C31×#2041C2semidirect
6. C31×#2034C2semidirect
7. C31×#1893C2semidirect
8. C31×#1869C2semidirect
9. C31×#1864C2semidirect
10. C31×#1786C2semidirect
11. C31×#1786C2semidirect
15. C23×C8×C31C22semidirect
26. C22×C4⋊C4×C31C22semidirect
28. C2×C31×#106C22semidirect
32. C2×C31×#102C22semidirect
33. C2×C31×#102C22semidirect
34. C2×C31×#102C22semidirect
35. C2×C31×#102C22semidirect
36. C2×C31×C22⋊C8C22semidirect
37. C2×C31×C22⋊C8C22semidirect
40. C31×#389C22semidirect
43. C31×#380C22semidirect
44. C31×#380C22semidirect
45. C31×#340C22semidirect
46. C31×#336C22semidirect
217. #24033C31direct (N × H)
303. C2×#481C2×C31semidirect
304. C22×#102C2×C31semidirect
305. #2487C2×C31semidirect
306. #2041C2×C31semidirect
307. #2034C2×C31semidirect
308. #1893C2×C31semidirect
309. #1869C2×C31semidirect
310. #1864C2×C31semidirect
311. #1786C2×C31semidirect
312. #1786C2×C31semidirect
358. C23×C8C22×C31semidirect
369. C22×C4⋊C4C22×C31semidirect
371. C2×#106C22×C31semidirect
375. C2×#102C22×C31semidirect
376. C2×#102C22×C31semidirect
377. C2×#102C22×C31semidirect
378. C2×#102C22×C31semidirect
379. C2×C22⋊C8C22×C31semidirect
380. C2×C22⋊C8C22×C31semidirect
383. #389C22×C31semidirect
386. #380C22×C31semidirect
387. #380C22×C31semidirect
388. #340C22×C31semidirect
389. #336C22×C31semidirect
472. C31#24033direct (N × H)

Maximal subgroups

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

subgroupindex
C2×D42×C312
C2×C31×#4812
C22×C31×#1022
C31×#24872
C31×#20412
C31×#20342
C31×#18932
C31×#18692
C31×#18642
C31×#17862
#2403331