Finite Group Databasebeta

← C31×#24152 #21480911

Subgroups — C31×#24152 #21480911

Order 7936.

1478 conjugacy classes of subgroups.

The subgroup lattice has 668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C31×#532C211yesmaximal, characteristic, complemented
2C2×C31×#476C211yesmaximal, characteristic, complemented
3C2×C31×#459C211yesmaximal, characteristic, complemented
4C4×C31×#121C211yesmaximal, characteristic, complemented
5C31×#2034C212yesmaximal, complemented
6C31×#1999C212yesmaximal, complemented
7C31×#1987C211yesmaximal, characteristic, complemented
8C31×#1982C211yesmaximal, characteristic, complemented
9C31×#1879C212yesmaximal, complemented
10C31×#1864C212yesmaximal, complemented
11C31×#1797C211yesmaximal, characteristic, complemented
12C22×#41×C31—21no—
13C22×D8×C31C2212yes—
14C31×#532—24no—
15C31×#532—24no—
16C2×C31×C4⋊Q8C2211yescharacteristic
17C2×C31×#127C2211yescharacteristic
18C2×C31×#124—21no—
19C2×C31×#121—21no—
20C2×C31×#121C2212yes—
21C2×C31×#121C2211yescharacteristic
22C2×C4×D4×C31—21no—
23C2×C4×D4×C31—21no—
24C2×C4×D4×C31C2212yes—
25C2×C4×D4×C31C2211yescharacteristic
26C22×C42×C31C2211yescharacteristic
27C31×#476—24no—
28C31×#459—24no—
29C2×C31×#106C2212yes—
30C2×C31×C4⋊C8C2211yescharacteristic
31C2×C31×C4⋊C8C2211yescharacteristic
32C2×C31×#102C2212yes—
33C2×C31×#102C2212yes—
34C2×C31×#102C2212yes—
35C2×C31×#102C2212yes—
36C2×C31×C22⋊C8C2212yes—
37C31×#390C2211yescharacteristic
38C31×#389C2211yescharacteristic
39C31×#388—21no—
40C31×#386—21no—
41C31×#380C2211yescharacteristic
42C4×C4⋊C4×C31C2211yescharacteristic
43C4×C22⋊C4×C31—21no—
44C31×#340C2212yes—
45C31×#340C2212yes—
46C31×#336C2212yes—
47C2×#41×C31—28no—
48C2×#41×C31—44no—
49C2×#41×C31—44no—
50C22×Q8×C31—21no—
51C22×D4×C31—21no—
52C22×D4×C31—22no—
53C22×D4×C31—21no—
54C22×D4×C31—21no—
55C22×D4×C31C2312yes—
56C22×D4×C31C2311yescharacteristic
57C23×C4×C31—22no—
58C23×C4×C31—21no—
59C23×C4×C31D411yescharacteristic
60C23×C4×C31D411yescharacteristic
61C23×C4×C31C2311yescharacteristic
62C2×D8×C31—24no—
63C2×D8×C31—24no—
64C2×D8×C31—42no—
65C22×C8×C31C2312yes—
66C22×C8×C31C2312yes—
67C31×C4⋊Q8—22no—
68C31×C4⋊Q8D414yescomplemented
69C31×#127—22no—
70C31×#127D414yescomplemented
71C31×#124—28no—
72C31×#121—28no—
73C31×#121—24no—
74C31×#121—22no—
75C31×#121—24no—
76C31×#121—22no—
77C4×D4×C31—28no—
78C4×D4×C31—24no—
79C4×D4×C31—24no—
80C4×D4×C31—22no—
81C4×D4×C31—22no—
82C4×D4×C31—44no—
83C2×C4⋊C4×C31—21no—
84C2×C4⋊C4×C31—21no—
85C2×C4⋊C4×C31C2311yescharacteristic
86C2×C4⋊C4×C31C2311yescharacteristic
87C2×C4⋊C4×C31C2312yes—
88C2×C4⋊C4×C31C2311yescharacteristic
89C2×C22⋊C4×C31—22no—
90C2×C22⋊C4×C31—22no—
91C2×C22⋊C4×C31—21no—
92C2×C22⋊C4×C31—21no—
93C2×C22⋊C4×C31—21no—
94C2×C22⋊C4×C31—21no—
95C2×C22⋊C4×C31—21no—
96C2×C42×C31—22no—
97C2×C42×C31—22no—
98C2×C42×C31—21no—
99C2×C42×C31D411yescharacteristic
100C2×C42×C31D411yescharacteristic
101C2×C42×C31C2311yescharacteristic
102C2×C42×C31C2311yescharacteristic
103C31×#106—24no—
104C31×C4⋊C8—22no—
105C31×C4⋊C8—22no—
106C31×#102—24no—
107C31×#102—24no—
108C31×#102—24no—
109C31×#102—42no—
110C31×C22⋊C8—42no—
111C31×#95—21no—
112C31×#95—21no—
113C31×#95—21no—
114C24×C31—21no—
115C24×C31—22no—
116C24×C31C2×D411yescharacteristic
117#41×C31—432no—
118C2×Q8×C31—24no—
119C2×Q8×C31—42no—
120C2×Q8×C31—42no—
121C2×D4×C31—28no—
122C2×D4×C31—24no—
123C2×D4×C31—24no—
124C2×D4×C31—24no—
125C2×D4×C31—21no—
126C2×D4×C31—21no—
127C2×D4×C31—22no—
128C2×D4×C31—22no—
129C2×D4×C31—22no—
130C2×D4×C31—21no—
131C2×D4×C31—22no—
132C2×D4×C31—21no—
133C2×D4×C31—22no—
134C2×D4×C31—21no—
135C2×D4×C31—42no—
136C2×D4×C31—42no—
137C2×D4×C31—42no—
138C2×D4×C31—44no—
139C2×D4×C31—42no—
140C2×D4×C31—44no—
141C2×D4×C31—42no—
142C2×D4×C31—42no—
143C2×D4×C31C2×D414yes—
144C2×D4×C31#4112yescomplemented
145C22×C4×C31—22no—
146C22×C4×C31—22no—
147C22×C4×C31—22no—
148C22×C4×C31—28no—
149C22×C4×C31—21no—
150C22×C4×C31—22no—
151C22×C4×C31—22no—
152C22×C4×C31—22no—
153C22×C4×C31—22no—
154C22×C4×C31—21no—
155C22×C4×C31—21no—
156C22×C4×C31—21no—
157C22×C4×C31—21no—
158C22×C4×C31—21no—
159C22×C4×C31—21no—
160C22×C4×C31—21no—
161C22×C4×C31—21no—
162C22×C4×C31—44no—
163C22×C4×C31—44no—
164C22×C4×C31—42no—
165C22×C4×C31—42no—
166C22×C4×C31—42no—
167C22×C4×C31C2×D411yescharacteristic
168C22×C4×C31C2×D411yescharacteristic
169C22×C4×C31C2×D411yescharacteristic
170C22×C4×C31C2×D411yescharacteristic
171C22×C4×C31C2×D411yescharacteristic
172C22×C4×C31C2411yescharacteristic
173D8×C31—48no—
174C2×C8×C31—22no—
175C2×C8×C31—22no—
176C2×C8×C31—22no—
177C2×C8×C31—22no—
178C2×C8×C31—22no—
179C2×C8×C31—22no—
180C4⋊C4×C31—24no—
181C4⋊C4×C31—22no—
182C4⋊C4×C31—21no—
183C4⋊C4×C31—21no—
184C4⋊C4×C31—21no—
185C4⋊C4×C31—21no—
186C4⋊C4×C31—21no—
187C4⋊C4×C31—42no—
188C4⋊C4×C31C2×D414yes—
189C4⋊C4×C31#4112yescomplemented
190C22⋊C4×C31—28no—
191C22⋊C4×C31—28no—
192C22⋊C4×C31—24no—
193C22⋊C4×C31—42no—
194C22⋊C4×C31—42no—
195C22⋊C4×C31—42no—
196C22⋊C4×C31—42no—
197C42×C31—22no—
198C42×C31—22no—
199C42×C31—21no—
200C42×C31—21no—
201C42×C31—42no—
202C42×C31C2×D412yes—
203C42×C31C2×D412yes—
204#24152C3111yesmaximal, characteristic, direct product factor, Sylow
205C23×C31—21no—
206C23×C31—21no—
207C23×C31—21no—
208C23×C31—21no—
209C23×C31—21no—
210C23×C31—21no—
211C23×C31—24no—
212C23×C31—22no—
213C23×C31—41no—
214C23×C31—42no—
215C23×C31—42no—
216C23×C31—41no—
217C23×C31—41no—
218C23×C31—42no—
219C23×C31—41no—
220C23×C31—41no—
221C23×C31—42no—
222C23×C31—42no—
223C23×C31—41no—
224C23×C31—42no—
225C23×C31AGL(1,ℤ/8)12yes—
226C23×C31C22×D411yescharacteristic
227Q8×C31—48no—
228D4×C31—22no—
229D4×C31—24no—
230D4×C31—24no—
231D4×C31—22no—
232D4×C31—48no—
233D4×C31—48no—
234D4×C31—416no—
235D4×C31—41no—
236D4×C31—42no—
237D4×C31—41no—
238D4×C31—42no—
239D4×C31—48no—
240C2×C4×C31—28no—
241C2×C4×C31—21no—
242C2×C4×C31—21no—
243C2×C4×C31—21no—
244C2×C4×C31—21no—
245C2×C4×C31—21no—
246C2×C4×C31—21no—
247C2×C4×C31—24no—
248C2×C4×C31—21no—
249C2×C4×C31—22no—
250C2×C4×C31—21no—
251C2×C4×C31—21no—
252C2×C4×C31—21no—
253C2×C4×C31—416no—
254C2×C4×C31—41no—
255C2×C4×C31—42no—
256C2×C4×C31—42no—
257C2×C4×C31—41no—
258C2×C4×C31—41no—
259C2×C4×C31—41no—
260C2×C4×C31—41no—
261C2×C4×C31—41no—
262C2×C4×C31—44no—
263C2×C4×C31—41no—
264C2×C4×C31—41no—
265C2×C4×C31—41no—
266C2×C4×C31—41no—
267C2×C4×C31—41no—
268C2×C4×C31—41no—
269C2×C4×C31—84no—
270C2×C4×C31#12012yes—
271C2×C4×C31#12012yes—
272C2×C4×C31#13512yes—
273C2×C4×C31AGL(1,ℤ/8)12yes—
274C2×C4×C31AGL(1,ℤ/8)12yes—
275C2×C4×C31C22×D411yescharacteristic
276C2×C4×C31C22×D411yescharacteristic
277C2×C4×C31C2×#4111yescharacteristic
278C2×C4×C31C2×#4111yescharacteristic
279C2×C4×C31H(5,𝔽2)11yescharacteristic
280C2×C4×C312−1+411yescharacteristic
281C8×C31—42no—
282C8×C31—42no—
283C2×#532C2×C3111yescharacteristic, complemented
284C2×#476C2×C3111yescharacteristic, complemented
285C2×#459C2×C3111yescharacteristic, complemented
286C4×#121C2×C3111yescharacteristic, complemented
287#2034C2×C3112yescomplemented
288#1999C2×C3112yescomplemented
289#1987C2×C3111yescharacteristic, complemented
290#1982C2×C3111yescharacteristic, complemented
291#1879C2×C3112yescomplemented
292#1864C2×C3112yescomplemented
293#1797C2×C3111yescharacteristic, complemented
294C22×C31—22no—
295C22×C31—22no—
296C22×C31—22no—
297C22×C31—41no—
298C22×C31—41no—
299C22×C31—41no—
300C22×C31—41no—
301C22×C31—42no—
302C22×C31—42no—
303C22×C31—42no—
304C22×C31—44no—
305C22×C31—44no—
306C22×C31—44no—
307C22×C31—82no—
308C22×C31—82no—
309C22×C31—81no—
310C22×C31—82no—
311C22×C31—81no—
312C22×C31—82no—
313C22×C31—81no—
314C22×C31—81no—
315C22×C31C2×#12011yescharacteristic
316C22×C31#52511yescharacteristic
317C22×C31#53711yescharacteristic
318C22×C31C2×#13511yescharacteristic
319C22×C31C2×AGL(1,ℤ/8)11yescharacteristic
320C22×C31C2×AGL(1,ℤ/8)11yescharacteristic
321C22×C31C2×AGL(1,ℤ/8)11yescharacteristic
322C4×C31—22no—
323C4×C31—22no—
324C4×C31—42no—
325C4×C31—41no—
326C4×C31—41no—
327C4×C31—44no—
328C4×C31—81no—
329C4×C31—81no—
330C4×C31#44914yes—
331C4×C31#54611yescharacteristic
332C4×C31#54711yescharacteristic
333C4×C31#54811yescharacteristic
334C4×C31#55011yescharacteristic
335C22×#41—21no—
336C22×D8C22×C3112yes—
337#532—24no—
338#532—24no—
339C2×C4⋊Q8C22×C3111yescharacteristic
340C2×#127C22×C3111yescharacteristic
341C2×#124—21no—
342C2×#121—21no—
343C2×#121C22×C3112yes—
344C2×#121C22×C3111yescharacteristic
345C2×C4×D4—21no—
346C2×C4×D4—21no—
347C2×C4×D4C22×C3112yes—
348C2×C4×D4C22×C3111yescharacteristic
349C22×C42C22×C3111yescharacteristic
350#476—24no—
351#459—24no—
352C2×#106C22×C3112yes—
353C2×C4⋊C8C22×C3111yescharacteristic
354C2×C4⋊C8C22×C3111yescharacteristic
355C2×#102C22×C3112yes—
356C2×#102C22×C3112yes—
357C2×#102C22×C3112yes—
358C2×#102C22×C3112yes—
359C2×C22⋊C8C22×C3112yes—
360#390C22×C3111yescharacteristic
361#389C22×C3111yescharacteristic
362#388—21no—
363#386—21no—
364#380C22×C3111yescharacteristic
365C4×C4⋊C4C22×C3111yescharacteristic
366C4×C22⋊C4—21no—
367#340C22×C3112yes—
368#340C22×C3112yes—
369#336C22×C3112yes—
370C2×C31—42no—
371C2×C31—82no—
372C2×C31—84no—
373C2×C31#240711yescharacteristic
374C2×C31C2×#44911yescharacteristic
375C2×C31#300311yescharacteristic
376C2×C31#310611yescharacteristic
377C2×C31#310911yescharacteristic
378C2×C31#324711yescharacteristic
379C2×C31#325311yescharacteristic
380C2×#41—28no—
381C2×#41—44no—
382C2×#41—44no—
383C22×Q8—21no—
384C22×D4—21no—
385C22×D4—22no—
386C22×D4—21no—
387C22×D4—21no—
388C22×D4C23×C3112yes—
389C22×D4C23×C3111yescharacteristic
390C23×C4—22no—
391C23×C4—21no—
392C23×C4D4×C3111yescharacteristic
393C23×C4D4×C3111yescharacteristic
394C23×C4C23×C3111yescharacteristic
395C2×D8—24no—
396C2×D8—24no—
397C2×D8—42no—
398C22×C8C23×C3112yes—
399C22×C8C23×C3112yes—
400C4⋊Q8—22no—
401C4⋊Q8D4×C3114yescomplemented
402#127—22no—
403#127D4×C3114yescomplemented
404#124—28no—
405#121—28no—
406#121—24no—
407#121—22no—
408#121—24no—
409#121—22no—
410C4×D4—28no—
411C4×D4—24no—
412C4×D4—24no—
413C4×D4—22no—
414C4×D4—22no—
415C4×D4—44no—
416C2×C4⋊C4—21no—
417C2×C4⋊C4—21no—
418C2×C4⋊C4C23×C3111yescharacteristic
419C2×C4⋊C4C23×C3111yescharacteristic
420C2×C4⋊C4C23×C3112yes—
421C2×C4⋊C4C23×C3111yescharacteristic
422C2×C22⋊C4—22no—
423C2×C22⋊C4—22no—
424C2×C22⋊C4—21no—
425C2×C22⋊C4—21no—
426C2×C22⋊C4—21no—
427C2×C22⋊C4—21no—
428C2×C22⋊C4—21no—
429C2×C42—22no—
430C2×C42—22no—
431C2×C42—21no—
432C2×C42D4×C3111yescharacteristic
433C2×C42D4×C3111yescharacteristic
434C2×C42C23×C3111yescharacteristic
435C2×C42C23×C3111yescharacteristic
436#106—24no—
437C4⋊C8—22no—
438C4⋊C8—22no—
439#102—24no—
440#102—24no—
441#102—24no—
442#102—42no—
443C22⋊C8—42no—
444#95—21no—
445#95—21no—
446#95—21no—
447C31#2415211yescharacteristic, direct product factor, Sylow
448C24—21no—
449C24—22no—
450C24C2×D4×C3111yescharacteristic
451#41—432no—
452C2×Q8—24no—
453C2×Q8—42no—
454C2×Q8—42no—
455C2×D4—28no—
456C2×D4—24no—
457C2×D4—24no—
458C2×D4—24no—
459C2×D4—21no—
460C2×D4—21no—
461C2×D4—22no—
462C2×D4—22no—
463C2×D4—22no—
464C2×D4—21no—
465C2×D4—22no—
466C2×D4—21no—
467C2×D4—22no—
468C2×D4—21no—
469C2×D4—42no—
470C2×D4—42no—
471C2×D4—42no—
472C2×D4—44no—
473C2×D4—42no—
474C2×D4—44no—
475C2×D4—42no—
476C2×D4—42no—
477C2×D4C2×D4×C3114yes—
478C2×D4#41×C3112yescomplemented
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—28no—
483C22×C4—21no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—21no—
495C22×C4—21no—
496C22×C4—44no—
497C22×C4—44no—
498C22×C4—42no—
499C22×C4—42no—
500C22×C4—42no—
501C22×C4C2×D4×C3111yescharacteristic
502C22×C4C2×D4×C3111yescharacteristic
503C22×C4C2×D4×C3111yescharacteristic
504C22×C4C2×D4×C3111yescharacteristic
505C22×C4C2×D4×C3111yescharacteristic
506C22×C4C24×C3111yescharacteristic
507D8—48no—
508C2×C8—22no—
509C2×C8—22no—
510C2×C8—22no—
511C2×C8—22no—
512C2×C8—22no—
513C2×C8—22no—
514C4⋊C4—24no—
515C4⋊C4—22no—
516C4⋊C4—21no—
517C4⋊C4—21no—
518C4⋊C4—21no—
519C4⋊C4—21no—
520C4⋊C4—21no—
521C4⋊C4—42no—
522C4⋊C4C2×D4×C3114yes—
523C4⋊C4#41×C3112yescomplemented
524C22⋊C4—28no—
525C22⋊C4—28no—
526C22⋊C4—24no—
527C22⋊C4—42no—
528C22⋊C4—42no—
529C22⋊C4—42no—
530C22⋊C4—42no—
531C42—22no—
532C42—22no—
533C42—21no—
534C42—21no—
535C42—42no—
536C42C2×D4×C3112yes—
537C42C2×D4×C3112yes—
538C23—21no—
539C23—21no—
540C23—21no—
541C23—21no—
542C23—21no—
543C23—21no—
544C23—24no—
545C23—22no—
546C23—41no—
547C23—42no—
548C23—42no—
549C23—41no—
550C23—41no—
551C23—42no—
552C23—41no—
553C23—41no—
554C23—42no—
555C23—42no—
556C23—41no—
557C23—42no—
558C23C31×AGL(1,ℤ/8)12yes—
559C23C22×D4×C3111yescharacteristic
560Q8—48no—
561D4—22no—
562D4—24no—
563D4—24no—
564D4—22no—
565D4—48no—
566D4—48no—
567D4—416no—
568D4—48no—
569D4—41no—
570D4—42no—
571D4—41no—
572D4—42no—
573C2×C4—28no—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—24no—
581C2×C4—21no—
582C2×C4—22no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—416no—
587C2×C4—41no—
588C2×C4—42no—
589C2×C4—42no—
590C2×C4—41no—
591C2×C4—44no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—41no—
599C2×C4—41no—
600C2×C4—41no—
601C2×C4—41no—
602C2×C4—84no—
603C2×C4C31×#12012yes—
604C2×C4C31×#12012yes—
605C2×C4C31×#13512yes—
606C2×C4C31×AGL(1,ℤ/8)12yes—
607C2×C4C31×AGL(1,ℤ/8)12yes—
608C2×C4C22×D4×C3111yescharacteristic
609C2×C4C22×D4×C3111yescharacteristic
610C2×C4C2×#41×C3111yescharacteristic
611C2×C4C2×#41×C3111yescharacteristic
612C2×C4C31×H(5,𝔽2)11yescharacteristic
613C2×C4C31×2−1+411yescharacteristic
614C8—42no—
615C8—42no—
616C22—22no—
617C22—22no—
618C22—22no—
619C22—41no—
620C22—41no—
621C22—41no—
622C22—41no—
623C22—42no—
624C22—42no—
625C22—42no—
626C22—44no—
627C22—44no—
628C22—44no—
629C22—82no—
630C22—82no—
631C22—81no—
632C22—82no—
633C22—81no—
634C22—82no—
635C22—81no—
636C22—81no—
637C22C2×C31×#12011yescharacteristic
638C22C31×#52511yescharacteristic
639C22C31×#53711yescharacteristic
640C22C2×C31×#13511yescharacteristic
641C22C2×C31×AGL(1,ℤ/8)11yescharacteristic
642C22C2×C31×AGL(1,ℤ/8)11yescharacteristic
643C22C2×C31×AGL(1,ℤ/8)11yescharacteristic
644C4—22no—
645C4—22no—
646C4—42no—
647C4—41no—
648C4—41no—
649C4—44no—
650C4—81no—
651C4—81no—
652C4C31×#44914yes—
653C4C31×#54611yescharacteristic
654C4C31×#54711yescharacteristic
655C4C31×#54811yescharacteristic
656C4C31×#55011yescharacteristic
657C2—42no—
658C2—82no—
659C2—84no—
660C2C31×#240711yescharacteristic
661C2C2×C31×#44911yescharacteristic
662C2C31×#300311yescharacteristic
663C2C31×#310611yescharacteristic
664C2C31×#310911yescharacteristic
665C2C31×#324711yescharacteristic
666C2C31×#325311yescharacteristic
subgroupG/H
center, socleC23×C31C22×D4
commutator, Frattini, cosocleC22×C4C24×C31
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C31 ◁ C22×C42×C31 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×C31×#532C2semidirect
2. C2×C31×#476C2semidirect
3. C2×C31×#459C2semidirect
4. C4×C31×#121C2semidirect
5. C31×#2034C2semidirect
6. C31×#1999C2semidirect
7. C31×#1987C2semidirect
8. C31×#1982C2semidirect
9. C31×#1879C2semidirect
10. C31×#1864C2semidirect
11. C31×#1797C2semidirect
68. C31×C4⋊Q8D4semidirect
70. C31×#127D4semidirect
144. C2×D4×C31#41semidirect
189. C4⋊C4×C31#41semidirect
204. #24152C31direct (N × H)
283. C2×#532C2×C31semidirect
284. C2×#476C2×C31semidirect
285. C2×#459C2×C31semidirect
286. C4×#121C2×C31semidirect
287. #2034C2×C31semidirect
288. #1999C2×C31semidirect
289. #1987C2×C31semidirect
290. #1982C2×C31semidirect
291. #1879C2×C31semidirect
292. #1864C2×C31semidirect
293. #1797C2×C31semidirect
401. C4⋊Q8D4×C31semidirect
403. #127D4×C31semidirect
447. C31#24152direct (N × H)
478. C2×D4#41×C31semidirect
523. C4⋊C4#41×C31semidirect

Maximal subgroups

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

subgroupindex
C2×C31×#5322
C2×C31×#4762
C2×C31×#4592
C4×C31×#1212
C31×#20342
C31×#19992
C31×#19872
C31×#19822
C31×#18792
C31×#18642
C31×#17972
#2415231