Finite Group Databasebeta

← C31×#13874 #21470633

Subgroups — C31×#13874 #21470633

Order 7936.

1918 conjugacy classes of subgroups.

The subgroup lattice has 706 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C31×#381C211yesmaximal, characteristic
2C2×C31×#381C211yesmaximal, characteristic
3C2×C31×#380C211yesmaximal, characteristic
4C2×C4×C22⋊C4×C31C211yesmaximal, characteristic
5C22×C31×#95C211yesmaximal, characteristic
6C31×#1443C212yesmaximal, complemented
7C31×#1442C212yesmaximal, complemented
8C31×#1436C212yesmaximal, complemented
9C31×#1434C212yesmaximal, complemented
10C31×C22⋊#95C211yesmaximal, characteristic
11C31×C22⋊#95C211yesmaximal, characteristic
12C24×C4×C31C2211yescharacteristic
13C24×C4×C31C2211yescharacteristic
14C24×C4×C31C2211yescharacteristic
15C22×C4⋊C4×C31C2212yes—
16C22×C22⋊C4×C31C2211yescharacteristic
17C22×C22⋊C4×C31C2211yescharacteristic
18C22×C22⋊C4×C31C2211yescharacteristic
19C22×C22⋊C4×C31C2211yescharacteristic
20C22×C42×C31C2212yes—
21C31×#381—24no—
22C31×#381—24no—
23C31×#380—24no—
24C4×C22⋊C4×C31—24no—
25C2×C31×#95C418yescomplemented
26C2×C31×#95C2212yes—
27C2×C31×#95C2212yes—
28C2×C31×#95C2212yes—
29C2×C31×#95C2212yes—
30C2×C31×#95C2212yes—
31C2×C31×#95C2212yes—
32C2×C31×#95C2212yes—
33C2×C31×#95C2212yes—
34C2×C31×#95C2212yes—
35C2×C31×#95C2212yes—
36C2×C31×#95C2211yescharacteristic
37C2×C31×#95C2211yescharacteristic
38C2×C31×#95C2211yescharacteristic
39C2×C31×#95C2211yescharacteristic
40C25×C31C2311yescharacteristic
41C23×C4×C31—22no—
42C23×C4×C31—22no—
43C23×C4×C31—22no—
44C23×C4×C31—22no—
45C23×C4×C31—22no—
46C23×C4×C31—22no—
47C23×C4×C31—22no—
48C23×C4×C31—22no—
49C23×C4×C31—22no—
50C23×C4×C31—22no—
51C23×C4×C31—24no—
52C23×C4×C31—24no—
53C23×C4×C31—42no—
54C23×C4×C31—42no—
55C23×C4×C31C2×C414yes—
56C23×C4×C31C2×C414yes—
57C23×C4×C31C2×C414yes—
58C23×C4×C31C2312yes—
59C23×C4×C31C2312yes—
60C23×C4×C31C2311yescharacteristic
61C23×C4×C31C2311yescharacteristic
62C23×C4×C31C2311yescharacteristic
63C23×C4×C31C2311yescharacteristic
64C23×C4×C31C2312yes—
65C23×C4×C31C2312yes—
66C23×C4×C31C2311yescharacteristic
67C23×C4×C31C2311yescharacteristic
68C2×C4⋊C4×C31—24no—
69C2×C4⋊C4×C31—24no—
70C2×C4⋊C4×C31—42no—
71C2×C22⋊C4×C31—22no—
72C2×C22⋊C4×C31—22no—
73C2×C22⋊C4×C31—22no—
74C2×C22⋊C4×C31—22no—
75C2×C22⋊C4×C31—22no—
76C2×C22⋊C4×C31—22no—
77C2×C22⋊C4×C31—22no—
78C2×C22⋊C4×C31—22no—
79C2×C22⋊C4×C31—22no—
80C2×C22⋊C4×C31—22no—
81C2×C22⋊C4×C31D414yes—
82C2×C22⋊C4×C31D414yes—
83C2×C42×C31—24no—
84C2×C42×C31—24no—
85C2×C42×C31—42no—
86C31×#95—24no—
87C31×#95—24no—
88C31×#95—24no—
89C31×#95—24no—
90C31×#95—24no—
91C31×#95—24no—
92C31×#95—24no—
93C31×#95—24no—
94C31×#95—42no—
95C31×#95—42no—
96C31×#95C2×C414yes—
97C31×#95C2×C414yes—
98C31×#95C2×C414yes—
99C31×#95C2×C414yes—
100C24×C31—22no—
101C24×C31—22no—
102C24×C31—22no—
103C24×C31—22no—
104C24×C31C22×C412yes—
105C24×C31C2×D412yes—
106C24×C31C2×D412yes—
107C24×C31#4112yes—
108C24×C31#4112yes—
109C24×C31#4112yes—
110C24×C31#4112yes—
111C24×C31C2411yescharacteristic
112C22×C4×C31—21no—
113C22×C4×C31—21no—
114C22×C4×C31—21no—
115C22×C4×C31—21no—
116C22×C4×C31—22no—
117C22×C4×C31—22no—
118C22×C4×C31—28no—
119C22×C4×C31—28no—
120C22×C4×C31—28no—
121C22×C4×C31—28no—
122C22×C4×C31—28no—
123C22×C4×C31—21no—
124C22×C4×C31—21no—
125C22×C4×C31—21no—
126C22×C4×C31—21no—
127C22×C4×C31—21no—
128C22×C4×C31—21no—
129C22×C4×C31—22no—
130C22×C4×C31—22no—
131C22×C4×C31—22no—
132C22×C4×C31—22no—
133C22×C4×C31—22no—
134C22×C4×C31—22no—
135C22×C4×C31—22no—
136C22×C4×C31—22no—
137C22×C4×C31—21no—
138C22×C4×C31—21no—
139C22×C4×C31—21no—
140C22×C4×C31—21no—
141C22×C4×C31—22no—
142C22×C4×C31—22no—
143C22×C4×C31—21no—
144C22×C4×C31—21no—
145C22×C4×C31—21no—
146C22×C4×C31—21no—
147C22×C4×C31—21no—
148C22×C4×C31—21no—
149C22×C4×C31—22no—
150C22×C4×C31—22no—
151C22×C4×C31—22no—
152C22×C4×C31—22no—
153C22×C4×C31—22no—
154C22×C4×C31—22no—
155C22×C4×C31—28no—
156C22×C4×C31—28no—
157C22×C4×C31—22no—
158C22×C4×C31—22no—
159C22×C4×C31—22no—
160C22×C4×C31—22no—
161C22×C4×C31—22no—
162C22×C4×C31—22no—
163C22×C4×C31—22no—
164C22×C4×C31—22no—
165C22×C4×C31—22no—
166C22×C4×C31—22no—
167C22×C4×C31—22no—
168C22×C4×C31—22no—
169C22×C4×C31—22no—
170C22×C4×C31—22no—
171C22×C4×C31—44no—
172C22×C4×C31—44no—
173C22×C4×C31—48no—
174C22×C4×C31—48no—
175C22×C4×C31—48no—
176C22×C4×C31—48no—
177C22×C4×C31—44no—
178C22×C4×C31—44no—
179C22×C4×C31—44no—
180C22×C4×C31—44no—
181C22×C4×C31C22×C412yes—
182C22×C4×C31C22×C412yes—
183C22×C4×C31C22×C412yes—
184C22×C4×C31C22×C412yes—
185C22×C4×C31C22×C412yes—
186C22×C4×C31C22×C412yes—
187C22×C4×C31C2×D414yes—
188C22×C4×C31C2×D414yes—
189C22×C4×C31#4114yes—
190C22×C4×C31#4114yes—
191C4⋊C4×C31—48no—
192C22⋊C4×C31—28no—
193C22⋊C4×C31—28no—
194C22⋊C4×C31—44no—
195C22⋊C4×C31—44no—
196C42×C31—48no—
197#13874C3111yesmaximal, characteristic, direct product factor, Sylow
198C23×C31—22no—
199C23×C31—22no—
200C23×C31—22no—
201C23×C31—22no—
202C23×C31—24no—
203C23×C31—24no—
204C23×C31—24no—
205C23×C31—24no—
206C23×C31—24no—
207C23×C31—24no—
208C23×C31—24no—
209C23×C31—24no—
210C23×C31—24no—
211C23×C31—24no—
212C23×C31—24no—
213C23×C31—24no—
214C23×C31#11714yes—
215C23×C31C4×D414yes—
216C23×C31C4×D414yes—
217C23×C31#12114yes—
218C23×C31#12314yes—
219C23×C31#12414yes—
220C23×C31#12614yes—
221C23×C31C23×C411yescharacteristic
222C23×C31C22×D411yescharacteristic
223C23×C31C22×D411yescharacteristic
224C23×C31C2×#4111yescharacteristic
225C23×C31C2×#4111yescharacteristic
226C23×C31C2×#4112yes—
227C23×C31C2×#4112yes—
228C23×C31C2×#4111yescharacteristic
229C23×C31C2×#4111yescharacteristic
230C23×C31H(5,𝔽2)12yes—
231C23×C312−1+412yes—
232C2×C4×C31—22no—
233C2×C4×C31—22no—
234C2×C4×C31—22no—
235C2×C4×C31—22no—
236C2×C4×C31—24no—
237C2×C4×C31—24no—
238C2×C4×C31—24no—
239C2×C4×C31—24no—
240C2×C4×C31—22no—
241C2×C4×C31—22no—
242C2×C4×C31—22no—
243C2×C4×C31—22no—
244C2×C4×C31—22no—
245C2×C4×C31—22no—
246C2×C4×C31—22no—
247C2×C4×C31—22no—
248C2×C4×C31—22no—
249C2×C4×C31—22no—
250C2×C4×C31—22no—
251C2×C4×C31—22no—
252C2×C4×C31—24no—
253C2×C4×C31—24no—
254C2×C4×C31—24no—
255C2×C4×C31—24no—
256C2×C4×C31—24no—
257C2×C4×C31—24no—
258C2×C4×C31—416no—
259C2×C4×C31—416no—
260C2×C4×C31—41no—
261C2×C4×C31—41no—
262C2×C4×C31—41no—
263C2×C4×C31—41no—
264C2×C4×C31—41no—
265C2×C4×C31—41no—
266C2×C4×C31—41no—
267C2×C4×C31—41no—
268C2×C4×C31—42no—
269C2×C4×C31—42no—
270C2×C4×C31—42no—
271C2×C4×C31—42no—
272C2×C4×C31—42no—
273C2×C4×C31—42no—
274C2×C4×C31—42no—
275C2×C4×C31—42no—
276C2×C4×C31—42no—
277C2×C4×C31—42no—
278C2×C4×C31—42no—
279C2×C4×C31—42no—
280C2×C4×C31—416no—
281C2×C4×C31—42no—
282C2×C4×C31—42no—
283C2×C4×C31—42no—
284C2×C4×C31—42no—
285C2×C4×C31—42no—
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—42no—
294C2×C4×C31—42no—
295C2×C4×C31#11714yes—
296C2×C4×C31#11714yes—
297C2×#381C2×C3111yescharacteristic
298C2×#381C2×C3111yescharacteristic
299C2×#380C2×C3111yescharacteristic
300C2×C4×C22⋊C4C2×C3111yescharacteristic
301C22×#95C2×C3111yescharacteristic
302#1443C2×C3112yescomplemented
303#1442C2×C3112yescomplemented
304#1436C2×C3112yescomplemented
305#1434C2×C3112yescomplemented
306C22⋊#95C2×C3111yescharacteristic
307C22⋊#95C2×C3111yescharacteristic
308C22×C31—24no—
309C22×C31—24no—
310C22×C31—24no—
311C22×C31—24no—
312C22×C31—24no—
313C22×C31—28no—
314C22×C31—28no—
315C22×C31—28no—
316C22×C31—28no—
317C22×C31—24no—
318C22×C31#38818yes—
319C22×C31C2×#11711yescharacteristic
320C22×C31C2×#11711yescharacteristic
321C22×C31C2×#11711yescharacteristic
322C22×C31C2×C4×D411yescharacteristic
323C22×C31C2×C4×D411yescharacteristic
324C22×C31#51811yescharacteristic
325C22×C31#51911yescharacteristic
326C22×C31C2×#12111yescharacteristic
327C22×C31C2×#12311yescharacteristic
328C22×C31C2×#12411yescharacteristic
329C22×C31C2×#12611yescharacteristic
330C22×C31#52912yes—
331C22×C31#52912yes—
332C22×C31#53912yes—
333C22×C31#53912yes—
334C22×C31#54612yes—
335C22×C31#54612yes—
336C22×C31#54712yes—
337C22×C31#54712yes—
338C22×C31#55112yes—
339C22×C31#55112yes—
340C22×C31#55212yes—
341C22×C31#55212yes—
342C4×C31—24no—
343C4×C31—24no—
344C4×C31—42no—
345C4×C31—42no—
346C4×C31—44no—
347C4×C31—44no—
348C4×C31—42no—
349C4×C31—42no—
350C4×C31—82no—
351C4×C31—82no—
352C24×C4C22×C3111yescharacteristic
353C24×C4C22×C3111yescharacteristic
354C24×C4C22×C3111yescharacteristic
355C22×C4⋊C4C22×C3112yes—
356C22×C22⋊C4C22×C3111yescharacteristic
357C22×C22⋊C4C22×C3111yescharacteristic
358C22×C22⋊C4C22×C3111yescharacteristic
359C22×C22⋊C4C22×C3111yescharacteristic
360C22×C42C22×C3112yes—
361#381—24no—
362#381—24no—
363#380—24no—
364C4×C22⋊C4—24no—
365C2×#95C4×C3118yescomplemented
366C2×#95C22×C3112yes—
367C2×#95C22×C3112yes—
368C2×#95C22×C3112yes—
369C2×#95C22×C3112yes—
370C2×#95C22×C3112yes—
371C2×#95C22×C3112yes—
372C2×#95C22×C3112yes—
373C2×#95C22×C3112yes—
374C2×#95C22×C3112yes—
375C2×#95C22×C3112yes—
376C2×#95C22×C3111yescharacteristic
377C2×#95C22×C3111yescharacteristic
378C2×#95C22×C3111yescharacteristic
379C2×#95C22×C3111yescharacteristic
380C2×C31—28no—
381C2×C31#228311yescharacteristic
382C2×C31C2×#38811yescharacteristic
383C2×C31#231311yescharacteristic
384C2×C31#234211yescharacteristic
385C2×C31#234211yescharacteristic
386C2×C31#234411yescharacteristic
387C2×C31#234411yescharacteristic
388C2×C31#241912yes—
389C2×C31#242512yes—
390C2×C31#248812yes—
391C2×C31#249312yes—
392C25C23×C3111yescharacteristic
393C23×C4—22no—
394C23×C4—22no—
395C23×C4—22no—
396C23×C4—22no—
397C23×C4—22no—
398C23×C4—22no—
399C23×C4—22no—
400C23×C4—22no—
401C23×C4—22no—
402C23×C4—22no—
403C23×C4—24no—
404C23×C4—24no—
405C23×C4—42no—
406C23×C4—42no—
407C23×C4C2×C4×C3114yes—
408C23×C4C2×C4×C3114yes—
409C23×C4C2×C4×C3114yes—
410C23×C4C23×C3112yes—
411C23×C4C23×C3112yes—
412C23×C4C23×C3111yescharacteristic
413C23×C4C23×C3111yescharacteristic
414C23×C4C23×C3111yescharacteristic
415C23×C4C23×C3111yescharacteristic
416C23×C4C23×C3112yes—
417C23×C4C23×C3112yes—
418C23×C4C23×C3111yescharacteristic
419C23×C4C23×C3111yescharacteristic
420C2×C4⋊C4—24no—
421C2×C4⋊C4—24no—
422C2×C4⋊C4—42no—
423C2×C22⋊C4—22no—
424C2×C22⋊C4—22no—
425C2×C22⋊C4—22no—
426C2×C22⋊C4—22no—
427C2×C22⋊C4—22no—
428C2×C22⋊C4—22no—
429C2×C22⋊C4—22no—
430C2×C22⋊C4—22no—
431C2×C22⋊C4—22no—
432C2×C22⋊C4—22no—
433C2×C22⋊C4D4×C3114yes—
434C2×C22⋊C4D4×C3114yes—
435C2×C42—24no—
436C2×C42—24no—
437C2×C42—42no—
438#95—24no—
439#95—24no—
440#95—24no—
441#95—24no—
442#95—24no—
443#95—24no—
444#95—24no—
445#95—24no—
446#95—42no—
447#95—42no—
448#95C2×C4×C3114yes—
449#95C2×C4×C3114yes—
450#95C2×C4×C3114yes—
451#95C2×C4×C3114yes—
452C31#1387411yescharacteristic, direct product factor, Sylow
453C24—22no—
454C24—22no—
455C24—22no—
456C24—22no—
457C24C22×C4×C3112yes—
458C24C2×D4×C3112yes—
459C24C2×D4×C3112yes—
460C24#41×C3112yes—
461C24#41×C3112yes—
462C24#41×C3112yes—
463C24#41×C3112yes—
464C24C24×C3111yescharacteristic
465C22×C4—21no—
466C22×C4—21no—
467C22×C4—21no—
468C22×C4—21no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—28no—
472C22×C4—28no—
473C22×C4—28no—
474C22×C4—28no—
475C22×C4—28no—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—21no—
497C22×C4—21no—
498C22×C4—21no—
499C22×C4—21no—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—28no—
509C22×C4—28no—
510C22×C4—22no—
511C22×C4—22no—
512C22×C4—22no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—22no—
516C22×C4—22no—
517C22×C4—22no—
518C22×C4—22no—
519C22×C4—22no—
520C22×C4—22no—
521C22×C4—22no—
522C22×C4—22no—
523C22×C4—22no—
524C22×C4—44no—
525C22×C4—44no—
526C22×C4—48no—
527C22×C4—48no—
528C22×C4—48no—
529C22×C4—48no—
530C22×C4—44no—
531C22×C4—44no—
532C22×C4—44no—
533C22×C4—44no—
534C22×C4C22×C4×C3112yes—
535C22×C4C22×C4×C3112yes—
536C22×C4C22×C4×C3112yes—
537C22×C4C22×C4×C3112yes—
538C22×C4C22×C4×C3112yes—
539C22×C4C22×C4×C3112yes—
540C22×C4C2×D4×C3114yes—
541C22×C4C2×D4×C3114yes—
542C22×C4#41×C3114yes—
543C22×C4#41×C3114yes—
544C4⋊C4—48no—
545C22⋊C4—28no—
546C22⋊C4—28no—
547C22⋊C4—44no—
548C22⋊C4—44no—
549C42—48no—
550C23—22no—
551C23—22no—
552C23—22no—
553C23—22no—
554C23—24no—
555C23—24no—
556C23—24no—
557C23—24no—
558C23—24no—
559C23—24no—
560C23—24no—
561C23—24no—
562C23—24no—
563C23—24no—
564C23—24no—
565C23—24no—
566C23C31×#11714yes—
567C23C4×D4×C3114yes—
568C23C4×D4×C3114yes—
569C23C31×#12114yes—
570C23C31×#12314yes—
571C23C31×#12414yes—
572C23C31×#12614yes—
573C23C23×C4×C3111yescharacteristic
574C23C22×D4×C3111yescharacteristic
575C23C22×D4×C3111yescharacteristic
576C23C2×#41×C3111yescharacteristic
577C23C2×#41×C3111yescharacteristic
578C23C2×#41×C3112yes—
579C23C2×#41×C3112yes—
580C23C2×#41×C3111yescharacteristic
581C23C2×#41×C3111yescharacteristic
582C23C31×H(5,𝔽2)12yes—
583C23C31×2−1+412yes—
584C2×C4—22no—
585C2×C4—22no—
586C2×C4—22no—
587C2×C4—22no—
588C2×C4—24no—
589C2×C4—24no—
590C2×C4—24no—
591C2×C4—24no—
592C2×C4—22no—
593C2×C4—22no—
594C2×C4—22no—
595C2×C4—22no—
596C2×C4—22no—
597C2×C4—22no—
598C2×C4—22no—
599C2×C4—22no—
600C2×C4—22no—
601C2×C4—22no—
602C2×C4—22no—
603C2×C4—22no—
604C2×C4—24no—
605C2×C4—24no—
606C2×C4—24no—
607C2×C4—24no—
608C2×C4—24no—
609C2×C4—24no—
610C2×C4—416no—
611C2×C4—416no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—42no—
621C2×C4—42no—
622C2×C4—42no—
623C2×C4—42no—
624C2×C4—42no—
625C2×C4—42no—
626C2×C4—42no—
627C2×C4—42no—
628C2×C4—42no—
629C2×C4—42no—
630C2×C4—42no—
631C2×C4—42no—
632C2×C4—416no—
633C2×C4—42no—
634C2×C4—42no—
635C2×C4—42no—
636C2×C4—42no—
637C2×C4—42no—
638C2×C4—42no—
639C2×C4—42no—
640C2×C4—42no—
641C2×C4—42no—
642C2×C4—42no—
643C2×C4—42no—
644C2×C4—42no—
645C2×C4—42no—
646C2×C4—42no—
647C2×C4C31×#11714yes—
648C2×C4C31×#11714yes—
649C22—24no—
650C22—24no—
651C22—24no—
652C22—24no—
653C22—24no—
654C22—28no—
655C22—28no—
656C22—28no—
657C22—28no—
658C22—24no—
659C22C31×#38818yes—
660C22C2×C31×#11711yescharacteristic
661C22C2×C31×#11711yescharacteristic
662C22C2×C31×#11711yescharacteristic
663C22C2×C4×D4×C3111yescharacteristic
664C22C2×C4×D4×C3111yescharacteristic
665C22C31×#51811yescharacteristic
666C22C31×#51911yescharacteristic
667C22C2×C31×#12111yescharacteristic
668C22C2×C31×#12311yescharacteristic
669C22C2×C31×#12411yescharacteristic
670C22C2×C31×#12611yescharacteristic
671C22C31×#52912yes—
672C22C31×#52912yes—
673C22C31×#53912yes—
674C22C31×#53912yes—
675C22C31×#54612yes—
676C22C31×#54612yes—
677C22C31×#54712yes—
678C22C31×#54712yes—
679C22C31×#55112yes—
680C22C31×#55112yes—
681C22C31×#55212yes—
682C22C31×#55212yes—
683C4—24no—
684C4—24no—
685C4—42no—
686C4—42no—
687C4—44no—
688C4—44no—
689C4—42no—
690C4—42no—
691C4—82no—
692C4—82no—
693C2—28no—
694C2C31×#228311yescharacteristic
695C2C2×C31×#38811yescharacteristic
696C2C31×#231311yescharacteristic
697C2C31×#234211yescharacteristic
698C2C31×#234211yescharacteristic
699C2C31×#234411yescharacteristic
700C2C31×#234411yescharacteristic
701C2C31×#241912yes—
702C2C31×#242512yes—
703C2C31×#248812yes—
704C2C31×#249312yes—
subgroupG/H
center, socleC24×C31C24
commutatorC23C23×C4×C31
Frattini, cosocleC24C24×C31
prime radicalC25×C31C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C24×C31 ◁ G

Complements

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

NH ≅ G/Ntype
6. C31×#1443C2semidirect
7. C31×#1442C2semidirect
8. C31×#1436C2semidirect
9. C31×#1434C2semidirect
25. C2×C31×#95C4semidirect
197. #13874C31direct (N × H)
302. #1443C2×C31semidirect
303. #1442C2×C31semidirect
304. #1436C2×C31semidirect
305. #1434C2×C31semidirect
365. C2×#95C4×C31semidirect
452. C31#13874direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C31×#3812
C2×C31×#3802
C2×C4×C22⋊C4×C312
C22×C31×#952
C31×#14432
C31×#14422
C31×#14362
C31×#14342
C31×C22⋊#952
#1387431