Finite Group Databasebeta

← C31×#17088 #21473847

Subgroups — C31×#17088 #21473847

Order 7936.

1958 conjugacy classes of subgroups.

The subgroup lattice has 734 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C31×#399C211yesmaximal, characteristic, complemented
2C2×C31×#394C212yesmaximal, complemented
3C2×C31×#394C212yesmaximal, complemented
4C2×C31×#392C211yesmaximal, characteristic
5C31×#1441C212yesmaximal, complemented
6C31×#1440C211yesmaximal, characteristic, complemented
7C31×#1439C212yesmaximal, complemented
8C31×#1439C212yesmaximal, complemented
9C31×#1438C212yesmaximal, complemented
10C23×D4×C31C2211yescharacteristic
11C23×D4×C31C2212yes—
12C22×C4⋊C4×C31C2212yes—
13C22×C4⋊C4×C31C2212yes—
14C22×C4⋊C4×C31C2211yescharacteristic
15C22×C22⋊C4×C31C2212yes—
16C22×C22⋊C4×C31C2212yes—
17C22×C22⋊C4×C31C2211yescharacteristic
18C22×C22⋊C4×C31C2212yes—
19C22×C22⋊C4×C31C2212yes—
20C22×C22⋊C4×C31C2212yes—
21C22×C22⋊C4×C31C2211yescharacteristic
22C22×C22⋊C4×C31C2211yescharacteristic
23C22×C22⋊C4×C31C2212yes—
24C31×#399—24no—
25C31×#394—28no—
26C31×#394—28no—
27C31×#392—24no—
28C2×C31×#95C2211yescharacteristic
29C2×C31×#95C2212yes—
30C2×C31×#95C2212yes—
31C2×C31×#95C2211yescharacteristic
32C2×C31×#95C2212yes—
33C2×C31×#95C2212yes—
34C2×C31×#95C2212yes—
35C25×C31C2311yescharacteristic
36C25×C31C2312yes—
37C22×D4×C31—24no—
38C22×D4×C31—24no—
39C22×D4×C31—24no—
40C22×D4×C31—22no—
41C22×D4×C31—24no—
42C22×D4×C31—42no—
43C22×D4×C31—42no—
44C22×D4×C31—42no—
45C22×D4×C31—41no—
46C22×D4×C31—41no—
47C22×D4×C31—42no—
48C22×D4×C31—42no—
49C23×C4×C31C2312yes—
50C23×C4×C31C2312yes—
51C23×C4×C31C2312yes—
52C23×C4×C31C2312yes—
53C23×C4×C31C2311yescharacteristic
54C23×C4×C31C2311yescharacteristic
55C23×C4×C31C2312yes—
56C2×C4⋊C4×C31—24no—
57C2×C4⋊C4×C31—22no—
58C2×C4⋊C4×C31—24no—
59C2×C4⋊C4×C31—24no—
60C2×C4⋊C4×C31—24no—
61C2×C4⋊C4×C31—42no—
62C2×C4⋊C4×C31—42no—
63C2×C4⋊C4×C31—41no—
64C2×C4⋊C4×C31—41no—
65C2×C22⋊C4×C31—24no—
66C2×C22⋊C4×C31—24no—
67C2×C22⋊C4×C31—24no—
68C2×C22⋊C4×C31—24no—
69C2×C22⋊C4×C31—24no—
70C2×C22⋊C4×C31—24no—
71C2×C22⋊C4×C31—24no—
72C2×C22⋊C4×C31—24no—
73C2×C22⋊C4×C31—24no—
74C2×C22⋊C4×C31—41no—
75C2×C22⋊C4×C31—41no—
76C2×C22⋊C4×C31—42no—
77C2×C22⋊C4×C31—42no—
78C2×C22⋊C4×C31—42no—
79C2×C22⋊C4×C31—41no—
80C2×C22⋊C4×C31—42no—
81C2×C22⋊C4×C31—42no—
82C2×C22⋊C4×C31—42no—
83C2×C22⋊C4×C31—42no—
84C2×C22⋊C4×C31—42no—
85C2×C22⋊C4×C31—42no—
86C2×C22⋊C4×C31—42no—
87C2×C22⋊C4×C31—41no—
88C2×C22⋊C4×C31D414yes—
89C2×C22⋊C4×C31D418yescomplemented
90C31×#95—22no—
91C31×#95—22no—
92C31×#95—24no—
93C31×#95—24no—
94C31×#95—42no—
95C31×#95—42no—
96C31×#95—42no—
97C24×C31—22no—
98C24×C31—22no—
99C24×C31—22no—
100C24×C31—22no—
101C24×C31—22no—
102C24×C31—22no—
103C24×C31—21no—
104C24×C31—21no—
105C24×C31—22no—
106C24×C31—22no—
107C24×C31—22no—
108C24×C31—22no—
109C24×C31—22no—
110C24×C31—22no—
111C24×C31—22no—
112C24×C31—22no—
113C24×C31—22no—
114C24×C31—22no—
115C24×C31—22no—
116C24×C31—22no—
117C24×C31—22no—
118C24×C31—22no—
119C24×C31C2×D412yes—
120C24×C31C2×D414yes—
121C24×C31C2411yescharacteristic
122C2×D4×C31—48no—
123C2×D4×C31—48no—
124C2×D4×C31—48no—
125C2×D4×C31—44no—
126C2×D4×C31—48no—
127C2×D4×C31—44no—
128C2×D4×C31—48no—
129C2×D4×C31—48no—
130C2×D4×C31—48no—
131C2×D4×C31—48no—
132C2×D4×C31—44no—
133C2×D4×C31—48no—
134C22×C4×C31—22no—
135C22×C4×C31—22no—
136C22×C4×C31—22no—
137C22×C4×C31—22no—
138C22×C4×C31—22no—
139C22×C4×C31—22no—
140C22×C4×C31—22no—
141C22×C4×C31—22no—
142C22×C4×C31—22no—
143C22×C4×C31—22no—
144C22×C4×C31—22no—
145C22×C4×C31—22no—
146C22×C4×C31—22no—
147C22×C4×C31—22no—
148C22×C4×C31—22no—
149C22×C4×C31—22no—
150C22×C4×C31—21no—
151C22×C4×C31—21no—
152C22×C4×C31—22no—
153C22×C4×C31—22no—
154C22×C4×C31—21no—
155C22×C4×C31—21no—
156C22×C4×C31—22no—
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—22no—
172C22×C4×C31—22no—
173C22×C4×C31—22no—
174C22×C4×C31C2×D414yes—
175C22×C4×C31C2×D412yes—
176C22×C4×C31C2×D412yes—
177C22×C4×C31C2×D414yes—
178C22×C4×C31#4114yes—
179C4⋊C4×C31—48no—
180C4⋊C4×C31—48no—
181C4⋊C4×C31—44no—
182C22⋊C4×C31—44no—
183C22⋊C4×C31—48no—
184C22⋊C4×C31—44no—
185C22⋊C4×C31—48no—
186C22⋊C4×C31—48no—
187C22⋊C4×C31—48no—
188C22⋊C4×C31—48no—
189C22⋊C4×C31—48no—
190C22⋊C4×C31—44no—
191#17088C3111yesmaximal, characteristic, direct product factor, Sylow
192C23×C31—24no—
193C23×C31—22no—
194C23×C31—24no—
195C23×C31—22no—
196C23×C31—22no—
197C23×C31—24no—
198C23×C31—24no—
199C23×C31—24no—
200C23×C31—24no—
201C23×C31—24no—
202C23×C31—24no—
203C23×C31—24no—
204C23×C31—42no—
205C23×C31—42no—
206C23×C31—42no—
207C23×C31—42no—
208C23×C31—42no—
209C23×C31—42no—
210C23×C31—42no—
211C23×C31—42no—
212C23×C31—42no—
213C23×C31—42no—
214C23×C31—42no—
215C23×C31—42no—
216C23×C31—42no—
217C23×C31—42no—
218C23×C31—42no—
219C23×C31—42no—
220C23×C31—42no—
221C23×C31—42no—
222C23×C31—41no—
223C23×C31—42no—
224C23×C31—42no—
225C23×C31—42no—
226C23×C31—42no—
227C23×C31—42no—
228C23×C31—42no—
229C23×C31—42no—
230C23×C31—41no—
231C23×C31—42no—
232C23×C31—41no—
233C23×C31—42no—
234C23×C31—42no—
235C23×C31—42no—
236C23×C31—41no—
237C23×C31—42no—
238C23×C31—42no—
239C23×C31—42no—
240C23×C31—42no—
241C23×C31—42no—
242C23×C31—42no—
243C23×C31—42no—
244C23×C31—42no—
245C23×C31—42no—
246C23×C31—42no—
247C23×C31—42no—
248C23×C31C22×D411yescharacteristic
249C23×C31C22×D412yes—
250C23×C31C2×#4112yes—
251C23×C31H(5,𝔽2)11yescharacteristic
252C23×C31H(5,𝔽2)12yes—
253C23×C31H(5,𝔽2)12yes—
254C23×C31H(5,𝔽2)11yescharacteristic
255C23×C31H(5,𝔽2)12yes—
256C23×C312−1+412yes—
257D4×C31—416no—
258D4×C31—432no—
259C2×C4×C31—24no—
260C2×C4×C31—22no—
261C2×C4×C31—24no—
262C2×C4×C31—22no—
263C2×C4×C31—24no—
264C2×C4×C31—24no—
265C2×C4×C31—24no—
266C2×C4×C31—24no—
267C2×C4×C31—24no—
268C2×C4×C31—24no—
269C2×C4×C31—24no—
270C2×C4×C31—24no—
271C2×C4×C31—24no—
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—41no—
281C2×C4×C31—42no—
282C2×C4×C31—42no—
283C2×C4×C31—42no—
284C2×C4×C31—41no—
285C2×C4×C31—42no—
286C2×C4×C31—41no—
287C2×C4×C31—41no—
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—42no—
296C2×C4×C31—42no—
297C2×C4×C31—42no—
298C2×C4×C31—42no—
299C2×C4×C31—42no—
300C2×C4×C31—42no—
301C2×C4×C31—42no—
302C2×C4×C31—42no—
303C2×C4×C31—42no—
304C2×#399C2×C3111yescharacteristic, complemented
305C2×#394C2×C3112yescomplemented
306C2×#394C2×C3112yescomplemented
307C2×#392C2×C3111yescharacteristic
308#1441C2×C3112yescomplemented
309#1440C2×C3111yescharacteristic, complemented
310#1439C2×C3112yescomplemented
311#1439C2×C3112yescomplemented
312#1438C2×C3112yescomplemented
313C22×C31—42no—
314C22×C31—44no—
315C22×C31—42no—
316C22×C31—44no—
317C22×C31—44no—
318C22×C31—44no—
319C22×C31—44no—
320C22×C31—44no—
321C22×C31—44no—
322C22×C31—42no—
323C22×C31—44no—
324C22×C31—44no—
325C22×C31—82no—
326C22×C31—82no—
327C22×C31—82no—
328C22×C31—82no—
329C22×C31—82no—
330C22×C31—82no—
331C22×C31—82no—
332C22×C31—82no—
333C22×C31—82no—
334C22×C31—82no—
335C22×C31—82no—
336C22×C31—82no—
337C22×C31#53411yescharacteristic
338C22×C31#53412yes—
339C22×C31#53511yescharacteristic
340C22×C31#53512yes—
341C22×C31#53611yescharacteristic
342C22×C31#53712yes—
343C22×C31#53812yes—
344C22×C31#54012yes—
345C22×C31#54212yes—
346C22×C31D4211yescharacteristic
347C22×C31D4212yes—
348C22×C31#54612yes—
349C22×C31#54612yes—
350C22×C31#54712yes—
351C22×C31#55911yescharacteristic
352C22×C31#56011yescharacteristic
353C22×C31#56012yes—
354C22×C31#56011yescharacteristic
355C22×C31#56212yes—
356C22×C31#56212yes—
357C22×C31#56212yes—
358C4×C31—42no—
359C4×C31—44no—
360C4×C31—44no—
361C4×C31—44no—
362C4×C31—42no—
363C4×C31—82no—
364C4×C31—82no—
365C23×D4C22×C3111yescharacteristic
366C23×D4C22×C3112yes—
367C22×C4⋊C4C22×C3112yes—
368C22×C4⋊C4C22×C3112yes—
369C22×C4⋊C4C22×C3111yescharacteristic
370C22×C22⋊C4C22×C3112yes—
371C22×C22⋊C4C22×C3112yes—
372C22×C22⋊C4C22×C3111yescharacteristic
373C22×C22⋊C4C22×C3112yes—
374C22×C22⋊C4C22×C3112yes—
375C22×C22⋊C4C22×C3112yes—
376C22×C22⋊C4C22×C3111yescharacteristic
377C22×C22⋊C4C22×C3111yescharacteristic
378C22×C22⋊C4C22×C3112yes—
379#399—24no—
380#394—28no—
381#394—28no—
382#392—24no—
383C2×#95C22×C3111yescharacteristic
384C2×#95C22×C3112yes—
385C2×#95C22×C3112yes—
386C2×#95C22×C3111yescharacteristic
387C2×#95C22×C3112yes—
388C2×#95C22×C3112yes—
389C2×#95C22×C3112yes—
390C2×C31—82no—
391C2×C31—84no—
392C2×C31#266911yescharacteristic
393C2×C31#267112yes—
394C2×C31#267212yes—
395C2×C31#267812yes—
396C2×C31#270911yescharacteristic
397C2×C31#271012yes—
398C2×C31#281312yes—
399C2×C31#281611yescharacteristic
400C2×C31#282912yes—
401C25C23×C3111yescharacteristic
402C25C23×C3112yes—
403C22×D4—24no—
404C22×D4—24no—
405C22×D4—24no—
406C22×D4—22no—
407C22×D4—24no—
408C22×D4—42no—
409C22×D4—42no—
410C22×D4—42no—
411C22×D4—41no—
412C22×D4—41no—
413C22×D4—42no—
414C22×D4—42no—
415C23×C4C23×C3112yes—
416C23×C4C23×C3112yes—
417C23×C4C23×C3112yes—
418C23×C4C23×C3112yes—
419C23×C4C23×C3111yescharacteristic
420C23×C4C23×C3111yescharacteristic
421C23×C4C23×C3112yes—
422C2×C4⋊C4—24no—
423C2×C4⋊C4—24no—
424C2×C4⋊C4—24no—
425C2×C4⋊C4—22no—
426C2×C4⋊C4—24no—
427C2×C4⋊C4—42no—
428C2×C4⋊C4—42no—
429C2×C4⋊C4—41no—
430C2×C4⋊C4—41no—
431C2×C22⋊C4—24no—
432C2×C22⋊C4—24no—
433C2×C22⋊C4—24no—
434C2×C22⋊C4—24no—
435C2×C22⋊C4—24no—
436C2×C22⋊C4—24no—
437C2×C22⋊C4—24no—
438C2×C22⋊C4—24no—
439C2×C22⋊C4—24no—
440C2×C22⋊C4—41no—
441C2×C22⋊C4—41no—
442C2×C22⋊C4—42no—
443C2×C22⋊C4—42no—
444C2×C22⋊C4—42no—
445C2×C22⋊C4—41no—
446C2×C22⋊C4—42no—
447C2×C22⋊C4—42no—
448C2×C22⋊C4—42no—
449C2×C22⋊C4—42no—
450C2×C22⋊C4—42no—
451C2×C22⋊C4—42no—
452C2×C22⋊C4—42no—
453C2×C22⋊C4—41no—
454C2×C22⋊C4D4×C3114yes—
455C2×C22⋊C4D4×C3118yescomplemented
456#95—22no—
457#95—24no—
458#95—24no—
459#95—22no—
460#95—42no—
461#95—42no—
462#95—42no—
463C31#1708811yescharacteristic, direct product factor, Sylow
464C24—22no—
465C24—22no—
466C24—22no—
467C24—22no—
468C24—22no—
469C24—22no—
470C24—21no—
471C24—21no—
472C24—22no—
473C24—22no—
474C24—22no—
475C24—22no—
476C24—22no—
477C24—22no—
478C24—22no—
479C24—22no—
480C24—22no—
481C24—22no—
482C24—22no—
483C24—22no—
484C24—22no—
485C24—22no—
486C24C2×D4×C3112yes—
487C24C2×D4×C3114yes—
488C24C24×C3111yescharacteristic
489C2×D4—48no—
490C2×D4—48no—
491C2×D4—48no—
492C2×D4—44no—
493C2×D4—48no—
494C2×D4—44no—
495C2×D4—48no—
496C2×D4—48no—
497C2×D4—48no—
498C2×D4—48no—
499C2×D4—44no—
500C2×D4—48no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—22no—
510C22×C4—22no—
511C22×C4—22no—
512C22×C4—22no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—22no—
516C22×C4—22no—
517C22×C4—21no—
518C22×C4—21no—
519C22×C4—22no—
520C22×C4—22no—
521C22×C4—21no—
522C22×C4—21no—
523C22×C4—22no—
524C22×C4—22no—
525C22×C4—22no—
526C22×C4—22no—
527C22×C4—22no—
528C22×C4—22no—
529C22×C4—22no—
530C22×C4—22no—
531C22×C4—22no—
532C22×C4—22no—
533C22×C4—22no—
534C22×C4—22no—
535C22×C4—22no—
536C22×C4—22no—
537C22×C4—22no—
538C22×C4—22no—
539C22×C4—22no—
540C22×C4—22no—
541C22×C4C2×D4×C3114yes—
542C22×C4C2×D4×C3112yes—
543C22×C4C2×D4×C3112yes—
544C22×C4C2×D4×C3114yes—
545C22×C4#41×C3114yes—
546C4⋊C4—48no—
547C4⋊C4—48no—
548C4⋊C4—44no—
549C22⋊C4—44no—
550C22⋊C4—48no—
551C22⋊C4—44no—
552C22⋊C4—48no—
553C22⋊C4—48no—
554C22⋊C4—48no—
555C22⋊C4—48no—
556C22⋊C4—48no—
557C22⋊C4—44no—
558C23—24no—
559C23—22no—
560C23—24no—
561C23—22no—
562C23—22no—
563C23—24no—
564C23—24no—
565C23—24no—
566C23—24no—
567C23—24no—
568C23—24no—
569C23—24no—
570C23—42no—
571C23—42no—
572C23—42no—
573C23—42no—
574C23—42no—
575C23—42no—
576C23—42no—
577C23—42no—
578C23—42no—
579C23—42no—
580C23—42no—
581C23—42no—
582C23—42no—
583C23—42no—
584C23—42no—
585C23—42no—
586C23—42no—
587C23—42no—
588C23—41no—
589C23—42no—
590C23—42no—
591C23—42no—
592C23—42no—
593C23—42no—
594C23—42no—
595C23—42no—
596C23—41no—
597C23—42no—
598C23—41no—
599C23—42no—
600C23—42no—
601C23—42no—
602C23—41no—
603C23—42no—
604C23—42no—
605C23—42no—
606C23—42no—
607C23—42no—
608C23—42no—
609C23—42no—
610C23—42no—
611C23—42no—
612C23—42no—
613C23—42no—
614C23C22×D4×C3111yescharacteristic
615C23C22×D4×C3112yes—
616C23C2×#41×C3112yes—
617C23C31×H(5,𝔽2)11yescharacteristic
618C23C31×H(5,𝔽2)12yes—
619C23C31×H(5,𝔽2)12yes—
620C23C31×H(5,𝔽2)11yescharacteristic
621C23C31×H(5,𝔽2)12yes—
622C23C31×2−1+412yes—
623D4—416no—
624D4—432no—
625C2×C4—24no—
626C2×C4—22no—
627C2×C4—24no—
628C2×C4—22no—
629C2×C4—24no—
630C2×C4—24no—
631C2×C4—24no—
632C2×C4—24no—
633C2×C4—24no—
634C2×C4—24no—
635C2×C4—24no—
636C2×C4—24no—
637C2×C4—24no—
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—41no—
647C2×C4—42no—
648C2×C4—42no—
649C2×C4—42no—
650C2×C4—41no—
651C2×C4—42no—
652C2×C4—41no—
653C2×C4—41no—
654C2×C4—42no—
655C2×C4—42no—
656C2×C4—42no—
657C2×C4—42no—
658C2×C4—42no—
659C2×C4—42no—
660C2×C4—42no—
661C2×C4—42no—
662C2×C4—42no—
663C2×C4—42no—
664C2×C4—42no—
665C2×C4—42no—
666C2×C4—42no—
667C2×C4—42no—
668C2×C4—42no—
669C2×C4—42no—
670C22—44no—
671C22—42no—
672C22—44no—
673C22—44no—
674C22—44no—
675C22—44no—
676C22—44no—
677C22—44no—
678C22—42no—
679C22—44no—
680C22—44no—
681C22—42no—
682C22—82no—
683C22—82no—
684C22—82no—
685C22—82no—
686C22—82no—
687C22—82no—
688C22—82no—
689C22—82no—
690C22—82no—
691C22—82no—
692C22—82no—
693C22—82no—
694C22C31×#53411yescharacteristic
695C22C31×#53412yes—
696C22C31×#53512yes—
697C22C31×#53511yescharacteristic
698C22C31×#53611yescharacteristic
699C22C31×#53712yes—
700C22C31×#53812yes—
701C22C31×#54012yes—
702C22C31×#54212yes—
703C22D42×C3111yescharacteristic
704C22D42×C3112yes—
705C22C31×#54612yes—
706C22C31×#54612yes—
707C22C31×#54712yes—
708C22C31×#55911yescharacteristic
709C22C31×#56011yescharacteristic
710C22C31×#56012yes—
711C22C31×#56011yescharacteristic
712C22C31×#56212yes—
713C22C31×#56212yes—
714C22C31×#56212yes—
715C4—42no—
716C4—44no—
717C4—44no—
718C4—44no—
719C4—42no—
720C4—82no—
721C4—82no—
722C2—84no—
723C2—82no—
724C2C31×#266911yescharacteristic
725C2C31×#267112yes—
726C2C31×#267212yes—
727C2C31×#267812yes—
728C2C31×#270911yescharacteristic
729C2C31×#271012yes—
730C2C31×#281312yes—
731C2C31×#281611yescharacteristic
732C2C31×#282912yes—
subgroupG/H
center, socleC24×C31C24
commutator, Frattini, cosocleC24C24×C31
prime radicalC2×C31×#392C2
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24×C31 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×C31×#399C2semidirect
2. C2×C31×#394C2semidirect
3. C2×C31×#394C2semidirect
5. C31×#1441C2semidirect
6. C31×#1440C2semidirect
7. C31×#1439C2semidirect
8. C31×#1439C2semidirect
9. C31×#1438C2semidirect
89. C2×C22⋊C4×C31D4semidirect
191. #17088C31direct (N × H)
304. C2×#399C2×C31semidirect
305. C2×#394C2×C31semidirect
306. C2×#394C2×C31semidirect
308. #1441C2×C31semidirect
309. #1440C2×C31semidirect
310. #1439C2×C31semidirect
311. #1439C2×C31semidirect
312. #1438C2×C31semidirect
455. C2×C22⋊C4D4×C31semidirect
463. C31#17088direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C31×#3992
C2×C31×#3942
C2×C31×#3922
C31×#14412
C31×#14402
C31×#14392
C31×#14382
#1708831