Finite Group Databasebeta

← C31×#23969 #21480728

Subgroups — C31×#23969 #21480728

Order 7936.

1474 conjugacy classes of subgroups.

The subgroup lattice has 634 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C31×#554C211yesmaximal, characteristic, complemented
2C2×C31×#450C211yesmaximal, characteristic, complemented
3C22×C31×#102C211yesmaximal, characteristic, complemented
4C31×#2408C211yesmaximal, characteristic
5C31×#2023C212yesmaximal, complemented
6C31×#2000C212yesmaximal, complemented
7C31×#1892C211yesmaximal, characteristic, complemented
8C31×#1880C212yesmaximal, complemented
9C31×#1874C212yesmaximal, complemented
10C31×#1869C211yesmaximal, characteristic, complemented
11C31×#1824C211yesmaximal, characteristic, complemented
12C23×D4×C31C2211yescharacteristic
13C22×SD16×C31C2212yes—
14C23×C8×C31C2211yescharacteristic
15C31×#554—24no—
16C31×#554—24no—
17C2×C31×C4⋊Q8C2211yescharacteristic, complemented
18C2×C31×#125—21no—
19C2×C31×C22⋊Q8—21no—
20C2×C31×C22⋊Q8—21no—
21C2×C31×C22⋊Q8C2211yescharacteristic
22C2×C31×C22⋊Q8C2211yescharacteristic, complemented
23C2×C31×#121C2212yes—
24C2×C31×#120—21no—
25C2×C4×Q8×C31C2211yescharacteristic, complemented
26C2×C4×D4×C31—21no—
27C2×C4×D4×C31C2211yescharacteristic
28C22×C4⋊C4×C31C2211yescharacteristic
29C22×C4⋊C4×C31C2211yescharacteristic, complemented
30C31×#450—24no—
31C2×C31×#103C2212yescomplemented
32C2×C31×#102—24no—
33C2×C31×#102C2212yes—
34C2×C31×#102C2212yes—
35C2×C31×#102C2212yes—
36C2×C31×C22⋊C8C2211yescharacteristic
37C2×C31×C22⋊C8C2212yescomplemented
38C31×#394—21no—
39C31×#392—21no—
40C31×#390C2212yes—
41C31×#380C2211yescharacteristic
42C31×#379—21no—
43C31×#340C2212yescomplemented
44C31×#340C2212yescomplemented
45C31×#340C2212yescomplemented
46C31×#336C2212yescomplemented
47C25×C31—21no—
48C22×Q8×C31—21no—
49C22×Q8×C31C2311yescharacteristic
50C22×D4×C31—24no—
51C22×D4×C31—22no—
52C22×D4×C31—22no—
53C22×D4×C31—22no—
54C22×D4×C31—21no—
55C22×D4×C31—42no—
56C22×D4×C31D411yescharacteristic
57C22×D4×C31C2312yes—
58C23×C4×C31—21no—
59C23×C4×C31—21no—
60C23×C4×C31C2311yescharacteristic
61C23×C4×C31C2311yescharacteristic
62C2×SD16×C31—24no—
63C2×SD16×C31—24no—
64C2×SD16×C31—42no—
65C22×C8×C31—22no—
66C22×C8×C31—42no—
67C22×C8×C31C2312yes—
68C22×C8×C31C2312yes—
69C31×C4⋊Q8—22no—
70C31×C4⋊Q8—22no—
71C31×#125—28no—
72C31×C22⋊Q8—28no—
73C31×C22⋊Q8—28no—
74C31×C22⋊Q8—22no—
75C31×C22⋊Q8—22no—
76C31×C22⋊Q8—22no—
77C31×C22⋊Q8D414yescomplemented
78C31×#121—24no—
79C31×#121—42no—
80C31×#120—44no—
81C4×Q8×C31—22no—
82C4×Q8×C31—22no—
83C4×D4×C31—28no—
84C4×D4×C31—22no—
85C4×D4×C31—22no—
86C2×C4⋊C4×C31—21no—
87C2×C4⋊C4×C31—22no—
88C2×C4⋊C4×C31—21no—
89C2×C4⋊C4×C31—21no—
90C2×C4⋊C4×C31—21no—
91C2×C4⋊C4×C31—21no—
92C2×C4⋊C4×C31—21no—
93C2×C4⋊C4×C31—22no—
94C2×C4⋊C4×C31—22no—
95C2×C4⋊C4×C31D411yescharacteristic
96C2×C4⋊C4×C31D414yescomplemented
97C2×C4⋊C4×C31C2312yes—
98C2×C4⋊C4×C31C2311yescharacteristic
99C2×C4⋊C4×C31C2311yescharacteristic
100C2×C4⋊C4×C31C2311yescharacteristic
101C2×C22⋊C4×C31—21no—
102C2×C22⋊C4×C31—21no—
103C2×C22⋊C4×C31—21no—
104C2×C22⋊C4×C31—22no—
105C2×C22⋊C4×C31—22no—
106C2×C22⋊C4×C31—22no—
107C2×C22⋊C4×C31D411yescharacteristic
108C2×C22⋊C4×C31D411yescharacteristic
109C2×C42×C31—21no—
110C2×C42×C31C2311yescharacteristic
111C31×#103—42no—
112C31×#102—24no—
113C31×#102—24no—
114C31×#102—24no—
115C31×C22⋊C8—22no—
116C31×C22⋊C8—42no—
117C31×#95—21no—
118C24×C31—22no—
119C24×C31—44no—
120C24×C31—42no—
121C24×C31—42no—
122C24×C31—42no—
123C24×C31—82no—
124C24×C31C2×D411yescharacteristic
125C24×C31C2×D411yescharacteristic
126C2×Q8×C31—24no—
127C2×Q8×C31—21no—
128C2×Q8×C31—22no—
129C2×Q8×C31—22no—
130C2×Q8×C31—82no—
131C2×Q8×C31C2×D412yes—
132C2×D4×C31—22no—
133C2×D4×C31—22no—
134C2×D4×C31—28no—
135C2×D4×C31—22no—
136C2×D4×C31—22no—
137C2×D4×C31—22no—
138C2×D4×C31—22no—
139C2×D4×C31—22no—
140C2×D4×C31—48no—
141C2×D4×C31—44no—
142C2×D4×C31—44no—
143C2×D4×C31—44no—
144C2×D4×C31—44no—
145C2×D4×C31—42no—
146C2×D4×C31—82no—
147C2×D4×C31SD1614yescomplemented
148C2×D4×C31#4114yes—
149C22×C4×C31—22no—
150C22×C4×C31—22no—
151C22×C4×C31—21no—
152C22×C4×C31—21no—
153C22×C4×C31—21no—
154C22×C4×C31—21no—
155C22×C4×C31—24no—
156C22×C4×C31—24no—
157C22×C4×C31—21no—
158C22×C4×C31—21no—
159C22×C4×C31—22no—
160C22×C4×C31—22no—
161C22×C4×C31—22no—
162C22×C4×C31—82no—
163C22×C4×C31—82no—
164C22×C4×C31C2×D411yescharacteristic
165C22×C4×C31C2×D411yescharacteristic
166C22×C4×C31C2×D411yescharacteristic
167C22×C4×C31C2×D412yes—
168C22×C4×C31C2×D412yes—
169C22×C4×C31C2×D411yescharacteristic
170C22×C4×C31C2411yescharacteristic
171SD16×C31—48no—
172C2×C8×C31—22no—
173C2×C8×C31—22no—
174C2×C8×C31—22no—
175C2×C8×C31—22no—
176C2×C8×C31—22no—
177C2×C8×C31—22no—
178C2×C8×C31—44no—
179C4⋊C4×C31—24no—
180C4⋊C4×C31—24no—
181C4⋊C4×C31—24no—
182C4⋊C4×C31—24no—
183C4⋊C4×C31—24no—
184C4⋊C4×C31—24no—
185C4⋊C4×C31—22no—
186C4⋊C4×C31—21no—
187C4⋊C4×C31—21no—
188C4⋊C4×C31—21no—
189C4⋊C4×C31—22no—
190C4⋊C4×C31—22no—
191C4⋊C4×C31C2×D412yes—
192C4⋊C4×C31C2×D412yes—
193C4⋊C4×C31C2×D412yes—
194C22⋊C4×C31—24no—
195C22⋊C4×C31—24no—
196C22⋊C4×C31—22no—
197C22⋊C4×C31—22no—
198C22⋊C4×C31—44no—
199C22⋊C4×C31—42no—
200C22⋊C4×C31—44no—
201C22⋊C4×C31—82no—
202C42×C31—24no—
203C42×C31—21no—
204C42×C31—21no—
205#23969C3111yesmaximal, characteristic, direct product factor, Sylow
206C23×C31—22no—
207C23×C31—22no—
208C23×C31—21no—
209C23×C31—22no—
210C23×C31—21no—
211C23×C31—22no—
212C23×C31—24no—
213C23×C31—48no—
214C23×C31—42no—
215C23×C31—42no—
216C23×C31—42no—
217C23×C31—42no—
218C23×C31—42no—
219C23×C31—42no—
220C23×C31—88no—
221C23×C31—88no—
222C23×C31—84no—
223C23×C31—84no—
224C23×C31#12012yes—
225C23×C31C2×SD1612yes—
226C23×C31C2×SD1612yes—
227C23×C31#13712yes—
228C23×C31C22×D411yescharacteristic
229Q8×C31—24no—
230Q8×C31—41no—
231Q8×C31—41no—
232Q8×C31—84no—
233D4×C31—28no—
234D4×C31—24no—
235D4×C31—24no—
236D4×C31—48no—
237D4×C31—42no—
238D4×C31—42no—
239D4×C31—88no—
240C2×C4×C31—21no—
241C2×C4×C31—22no—
242C2×C4×C31—21no—
243C2×C4×C31—22no—
244C2×C4×C31—22no—
245C2×C4×C31—24no—
246C2×C4×C31—22no—
247C2×C4×C31—21no—
248C2×C4×C31—22no—
249C2×C4×C31—21no—
250C2×C4×C31—22no—
251C2×C4×C31—22no—
252C2×C4×C31—22no—
253C2×C4×C31—22no—
254C2×C4×C31—42no—
255C2×C4×C31—42no—
256C2×C4×C31—42no—
257C2×C4×C31—42no—
258C2×C4×C31—41no—
259C2×C4×C31—41no—
260C2×C4×C31—42no—
261C2×C4×C31—42no—
262C2×C4×C31—42no—
263C2×C4×C31—42no—
264C2×C4×C31—84no—
265C2×C4×C31—84no—
266C2×C4×C31#12012yes—
267C2×C4×C31C2×SD1612yes—
268C2×C4×C31C22×D411yescharacteristic
269C2×C4×C31C22×D411yescharacteristic
270C2×C4×C31C2×#4112yes—
271C2×C4×C31H(5,𝔽2)12yes—
272C8×C31—42no—
273C8×C31—42no—
274C2×#554C2×C3111yescharacteristic, complemented
275C2×#450C2×C3111yescharacteristic, complemented
276C22×#102C2×C3111yescharacteristic, complemented
277#2408C2×C3111yescharacteristic
278#2023C2×C3112yescomplemented
279#2000C2×C3112yescomplemented
280#1892C2×C3111yescharacteristic, complemented
281#1880C2×C3112yescomplemented
282#1874C2×C3112yescomplemented
283#1869C2×C3111yescharacteristic, complemented
284#1824C2×C3111yescharacteristic, complemented
285C22×C31—22no—
286C22×C31—22no—
287C22×C31—24no—
288C22×C31—24no—
289C22×C31—22no—
290C22×C31—24no—
291C22×C31—41no—
292C22×C31—41no—
293C22×C31—42no—
294C22×C31—44no—
295C22×C31—44no—
296C22×C31—44no—
297C22×C31—816no—
298C22×C31—82no—
299C22×C31—82no—
300C22×C31—82no—
301C22×C31—82no—
302C22×C31#44814yes—
303C22×C31C2×#12011yescharacteristic
304C22×C31#54612yes—
305C22×C31C22×SD1611yescharacteristic
306C22×C31C2×#13711yescharacteristic
307C22×C31#57612yes—
308C4×C31—22no—
309C4×C31—22no—
310C4×C31—41no—
311C4×C31—42no—
312C4×C31—41no—
313C4×C31—42no—
314C4×C31—42no—
315C4×C31—42no—
316C4×C31—82no—
317C4×C31#52511yescharacteristic
318C4×C31#53511yescharacteristic
319C4×C31#54612yes—
320C23×D4C22×C3111yescharacteristic
321C22×SD16C22×C3112yes—
322C23×C8C22×C3111yescharacteristic
323#554—24no—
324#554—24no—
325C2×C4⋊Q8C22×C3111yescharacteristic, complemented
326C2×#125—21no—
327C2×C22⋊Q8—21no—
328C2×C22⋊Q8—21no—
329C2×C22⋊Q8C22×C3111yescharacteristic
330C2×C22⋊Q8C22×C3111yescharacteristic, complemented
331C2×#121C22×C3112yes—
332C2×#120—21no—
333C2×C4×Q8C22×C3111yescharacteristic, complemented
334C2×C4×D4—21no—
335C2×C4×D4C22×C3111yescharacteristic
336C22×C4⋊C4C22×C3111yescharacteristic
337C22×C4⋊C4C22×C3111yescharacteristic, complemented
338#450—24no—
339C2×#103C22×C3112yescomplemented
340C2×#102—24no—
341C2×#102C22×C3112yes—
342C2×#102C22×C3112yes—
343C2×#102C22×C3112yes—
344C2×C22⋊C8C22×C3111yescharacteristic
345C2×C22⋊C8C22×C3112yescomplemented
346#394—21no—
347#392—21no—
348#390C22×C3112yes—
349#380C22×C3111yescharacteristic
350#379—21no—
351#340C22×C3112yescomplemented
352#340C22×C3112yescomplemented
353#340C22×C3112yescomplemented
354#336C22×C3112yescomplemented
355C2×C31—24no—
356C2×C31—42no—
357C2×C31—84no—
358C2×C31#240411yescharacteristic
359C2×C31C2×#44811yescharacteristic
360C2×C31#300811yescharacteristic
361C2×C31#329512yes—
362C2×C31#331412yes—
363C25—21no—
364C22×Q8—21no—
365C22×Q8C23×C3111yescharacteristic
366C22×D4—24no—
367C22×D4—22no—
368C22×D4—22no—
369C22×D4—22no—
370C22×D4—21no—
371C22×D4—42no—
372C22×D4D4×C3111yescharacteristic
373C22×D4C23×C3112yes—
374C23×C4—21no—
375C23×C4—21no—
376C23×C4C23×C3111yescharacteristic
377C23×C4C23×C3111yescharacteristic
378C2×SD16—24no—
379C2×SD16—24no—
380C2×SD16—42no—
381C22×C8—22no—
382C22×C8—42no—
383C22×C8C23×C3112yes—
384C22×C8C23×C3112yes—
385C4⋊Q8—22no—
386C4⋊Q8—22no—
387#125—28no—
388C22⋊Q8—28no—
389C22⋊Q8—28no—
390C22⋊Q8—22no—
391C22⋊Q8—22no—
392C22⋊Q8—22no—
393C22⋊Q8D4×C3114yescomplemented
394#121—24no—
395#121—42no—
396#120—44no—
397C4×Q8—22no—
398C4×Q8—22no—
399C4×D4—28no—
400C4×D4—22no—
401C4×D4—22no—
402C2×C4⋊C4—21no—
403C2×C4⋊C4—22no—
404C2×C4⋊C4—21no—
405C2×C4⋊C4—21no—
406C2×C4⋊C4—21no—
407C2×C4⋊C4—21no—
408C2×C4⋊C4—21no—
409C2×C4⋊C4—22no—
410C2×C4⋊C4—22no—
411C2×C4⋊C4D4×C3111yescharacteristic
412C2×C4⋊C4D4×C3114yescomplemented
413C2×C4⋊C4C23×C3112yes—
414C2×C4⋊C4C23×C3111yescharacteristic
415C2×C4⋊C4C23×C3111yescharacteristic
416C2×C4⋊C4C23×C3111yescharacteristic
417C2×C22⋊C4—21no—
418C2×C22⋊C4—21no—
419C2×C22⋊C4—21no—
420C2×C22⋊C4—22no—
421C2×C22⋊C4—22no—
422C2×C22⋊C4—22no—
423C2×C22⋊C4D4×C3111yescharacteristic
424C2×C22⋊C4D4×C3111yescharacteristic
425C2×C42—21no—
426C2×C42C23×C3111yescharacteristic
427#103—42no—
428#102—24no—
429#102—24no—
430#102—24no—
431C22⋊C8—22no—
432C22⋊C8—42no—
433#95—21no—
434C31#2396911yescharacteristic, direct product factor, Sylow
435C24—22no—
436C24—44no—
437C24—42no—
438C24—42no—
439C24—42no—
440C24—82no—
441C24C2×D4×C3111yescharacteristic
442C24C2×D4×C3111yescharacteristic
443C2×Q8—24no—
444C2×Q8—21no—
445C2×Q8—22no—
446C2×Q8—22no—
447C2×Q8—82no—
448C2×Q8C2×D4×C3112yes—
449C2×D4—22no—
450C2×D4—22no—
451C2×D4—28no—
452C2×D4—22no—
453C2×D4—22no—
454C2×D4—22no—
455C2×D4—22no—
456C2×D4—22no—
457C2×D4—48no—
458C2×D4—44no—
459C2×D4—44no—
460C2×D4—44no—
461C2×D4—44no—
462C2×D4—42no—
463C2×D4—82no—
464C2×D4SD16×C3114yescomplemented
465C2×D4#41×C3114yes—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—21no—
469C22×C4—21no—
470C22×C4—21no—
471C22×C4—21no—
472C22×C4—24no—
473C22×C4—24no—
474C22×C4—21no—
475C22×C4—21no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—82no—
480C22×C4—82no—
481C22×C4C2×D4×C3111yescharacteristic
482C22×C4C2×D4×C3111yescharacteristic
483C22×C4C2×D4×C3111yescharacteristic
484C22×C4C2×D4×C3112yes—
485C22×C4C2×D4×C3112yes—
486C22×C4C2×D4×C3111yescharacteristic
487C22×C4C24×C3111yescharacteristic
488SD16—48no—
489C2×C8—22no—
490C2×C8—22no—
491C2×C8—22no—
492C2×C8—22no—
493C2×C8—22no—
494C2×C8—22no—
495C2×C8—44no—
496C4⋊C4—24no—
497C4⋊C4—24no—
498C4⋊C4—24no—
499C4⋊C4—24no—
500C4⋊C4—24no—
501C4⋊C4—24no—
502C4⋊C4—22no—
503C4⋊C4—21no—
504C4⋊C4—21no—
505C4⋊C4—21no—
506C4⋊C4—22no—
507C4⋊C4—22no—
508C4⋊C4C2×D4×C3112yes—
509C4⋊C4C2×D4×C3112yes—
510C4⋊C4C2×D4×C3112yes—
511C22⋊C4—24no—
512C22⋊C4—24no—
513C22⋊C4—22no—
514C22⋊C4—22no—
515C22⋊C4—44no—
516C22⋊C4—42no—
517C22⋊C4—44no—
518C22⋊C4—82no—
519C42—24no—
520C42—21no—
521C42—21no—
522C23—22no—
523C23—22no—
524C23—21no—
525C23—22no—
526C23—21no—
527C23—22no—
528C23—24no—
529C23—48no—
530C23—42no—
531C23—42no—
532C23—42no—
533C23—42no—
534C23—42no—
535C23—42no—
536C23—88no—
537C23—88no—
538C23—84no—
539C23—84no—
540C23C31×#12012yes—
541C23C2×SD16×C3112yes—
542C23C2×SD16×C3112yes—
543C23C31×#13712yes—
544C23C22×D4×C3111yescharacteristic
545Q8—24no—
546Q8—41no—
547Q8—41no—
548Q8—84no—
549D4—28no—
550D4—24no—
551D4—24no—
552D4—48no—
553D4—42no—
554D4—42no—
555D4—88no—
556C2×C4—21no—
557C2×C4—22no—
558C2×C4—21no—
559C2×C4—22no—
560C2×C4—22no—
561C2×C4—24no—
562C2×C4—22no—
563C2×C4—21no—
564C2×C4—22no—
565C2×C4—21no—
566C2×C4—22no—
567C2×C4—22no—
568C2×C4—22no—
569C2×C4—22no—
570C2×C4—42no—
571C2×C4—42no—
572C2×C4—42no—
573C2×C4—42no—
574C2×C4—41no—
575C2×C4—41no—
576C2×C4—42no—
577C2×C4—42no—
578C2×C4—42no—
579C2×C4—42no—
580C2×C4—84no—
581C2×C4—84no—
582C2×C4C31×#12012yes—
583C2×C4C2×SD16×C3112yes—
584C2×C4C22×D4×C3111yescharacteristic
585C2×C4C22×D4×C3111yescharacteristic
586C2×C4C2×#41×C3112yes—
587C2×C4C31×H(5,𝔽2)12yes—
588C8—42no—
589C8—42no—
590C22—22no—
591C22—22no—
592C22—24no—
593C22—24no—
594C22—22no—
595C22—24no—
596C22—41no—
597C22—41no—
598C22—42no—
599C22—44no—
600C22—44no—
601C22—44no—
602C22—816no—
603C22—82no—
604C22—82no—
605C22—82no—
606C22—82no—
607C22C31×#44814yes—
608C22C2×C31×#12011yescharacteristic
609C22C31×#54612yes—
610C22C22×SD16×C3111yescharacteristic
611C22C2×C31×#13711yescharacteristic
612C22C31×#57612yes—
613C4—22no—
614C4—22no—
615C4—41no—
616C4—42no—
617C4—41no—
618C4—42no—
619C4—42no—
620C4—42no—
621C4—82no—
622C4C31×#52511yescharacteristic
623C4C31×#53511yescharacteristic
624C4C31×#54612yes—
625C2—24no—
626C2—42no—
627C2—84no—
628C2C31×#240411yescharacteristic
629C2C2×C31×#44811yescharacteristic
630C2C31×#300811yescharacteristic
631C2C31×#329512yes—
632C2C31×#331412yes—
subgroupG/H
center, socleC23×C31C22×D4
commutator, Frattini, cosocleC22×C4C24×C31
prime radicalC31×#2408C2
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
1. C2×C31×#554C2semidirect
2. C2×C31×#450C2semidirect
3. C22×C31×#102C2semidirect
5. C31×#2023C2semidirect
6. C31×#2000C2semidirect
7. C31×#1892C2semidirect
8. C31×#1880C2semidirect
9. C31×#1874C2semidirect
10. C31×#1869C2semidirect
11. C31×#1824C2semidirect
17. C2×C31×C4⋊Q8C22semidirect
22. C2×C31×C22⋊Q8C22semidirect
25. C2×C4×Q8×C31C22semidirect
29. C22×C4⋊C4×C31C22semidirect
31. C2×C31×#103C22semidirect
37. C2×C31×C22⋊C8C22semidirect
43. C31×#340C22semidirect
44. C31×#340C22semidirect
45. C31×#340C22semidirect
46. C31×#336C22semidirect
77. C31×C22⋊Q8D4semidirect
96. C2×C4⋊C4×C31D4semidirect
147. C2×D4×C31SD16semidirect
205. #23969C31direct (N × H)
274. C2×#554C2×C31semidirect
275. C2×#450C2×C31semidirect
276. C22×#102C2×C31semidirect
278. #2023C2×C31semidirect
279. #2000C2×C31semidirect
280. #1892C2×C31semidirect
281. #1880C2×C31semidirect
282. #1874C2×C31semidirect
283. #1869C2×C31semidirect
284. #1824C2×C31semidirect
325. C2×C4⋊Q8C22×C31semidirect
330. C2×C22⋊Q8C22×C31semidirect
333. C2×C4×Q8C22×C31semidirect
337. C22×C4⋊C4C22×C31semidirect
339. C2×#103C22×C31semidirect
345. C2×C22⋊C8C22×C31semidirect
351. #340C22×C31semidirect
352. #340C22×C31semidirect
353. #340C22×C31semidirect
354. #336C22×C31semidirect
393. C22⋊Q8D4×C31semidirect
412. C2×C4⋊C4D4×C31semidirect
434. C31#23969direct (N × H)
464. C2×D4SD16×C31semidirect

Maximal subgroups

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

subgroupindex
C2×C31×#5542
C2×C31×#4502
C22×C31×#1022
C31×#24082
C31×#20232
C31×#20002
C31×#18922
C31×#18802
C31×#18742
C31×#18692
C31×#18242
#2396931