Finite Group Databasebeta

← C31×#18162 #21474921

Subgroups — C31×#18162 #21474921

Order 7936.

1704 conjugacy classes of subgroups.

The subgroup lattice has 724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C31×#3490C211yesmaximal, characteristic, complemented
2C31×#3003C212yesmaximal, complemented
3C2×C31×#392C211yesmaximal, characteristic, complemented
4C31×#1600C214yesmaximal, complemented
5C31×#1596C212yesmaximal, complemented
6C31×#1595C212yesmaximal, complemented
7C31×#1504C212yesmaximal, complemented
8C31×#1462C211yesmaximal, characteristic, complemented
9C23×D4×C31—21no—
10C23×D4×C31C2211yescharacteristic, complemented
11C2×C31×AGL(1,ℤ/8)—22no—
12C31×#551—22no—
13C31×#551—22no—
14C31×#546—22no—
15C31×#546—22no—
16C31×#543C2211yescharacteristic, complemented
17C31×#538—21no—
18C31×#538C2212yescomplemented
19C31×#534C2211yescharacteristic, complemented
20C31×#525—21no—
21C31×#525C2212yes—
22C2×C31×#120—21no—
23C31×#518—21no—
24C22×C22⋊C4×C31—21no—
25C22×C22⋊C4×C31C2211yescharacteristic
26C31×#450—22no—
27C31×#450C2214yescomplemented
28C31×#447—22no—
29C31×#447C2214yescomplemented
30C31×#418—22no—
31C31×#407C2212yescomplemented
32C31×#392—21no—
33C31×#392—21no—
34C31×#392C2212yes—
35C31×#392C2212yescomplemented
36C2×C31×#95C2211yescharacteristic, complemented
37C31×#328C2214yescomplemented
38C31×#327C2214yescomplemented
39C31×#323C2212yescomplemented
40C31×#323C2212yescomplemented
41C25×C31—21no—
42C25×C31D411yescharacteristic
43C2×#41×C31—21no—
44C2×#41×C31D412yescomplemented
45C22×D4×C31—21no—
46C22×D4×C31—21no—
47C22×D4×C31—21no—
48C22×D4×C31—22no—
49C22×D4×C31—22no—
50C22×D4×C31—22no—
51C22×D4×C31—22no—
52C22×D4×C31—21no—
53C22×D4×C31—44no—
54C22×D4×C31—44no—
55C22×D4×C31—44no—
56C22×D4×C31—44no—
57C22×D4×C31C2312yes—
58C23×C4×C31—21no—
59C23×C4×C31D411yescharacteristic
60C23×C4×C31C2311yescharacteristic
61C31×AGL(1,ℤ/8)—48no—
62C2×SD16×C31—24no—
63C2×D8×C31—24no—
64C2×M16×C31—22no—
65C31×#126—22no—
66C31×#126—22no—
67C31×#124—22no—
68C31×#124—22no—
69C31×#123—22no—
70C31×#123—22no—
71C31×#123—22no—
72C31×#123—22no—
73C31×#123—22no—
74C31×C22⋊Q8—21no—
75C31×C22⋊Q8—22no—
76C31×C22⋊Q8—21no—
77C31×C22⋊Q8—22no—
78C31×C22⋊Q8D412yescomplemented
79C31×C22⋊Q8C2312yes—
80C31×#121—21no—
81C31×#121—22no—
82C31×#121—22no—
83C31×#121—21no—
84C31×#121D412yescomplemented
85C31×#121C2312yes—
86C31×#120—22no—
87C31×#120—22no—
88C31×#120—22no—
89C31×#120—22no—
90C31×#120—22no—
91C4×D4×C31—22no—
92C4×D4×C31—22no—
93C4×D4×C31—22no—
94C4×D4×C31—22no—
95C4×D4×C31—22no—
96C4×D4×C31—22no—
97C31×#117—22no—
98C31×#117—21no—
99C31×#117D412yescomplemented
100C2×C22⋊C4×C31—22no—
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×C31—22no—
108C2×C22⋊C4×C31—44no—
109C2×C22⋊C4×C31D411yescharacteristic
110C2×C22⋊C4×C31D411yescharacteristic
111C2×C22⋊C4×C31C2311yescharacteristic
112C2×C22⋊C4×C31C2311yescharacteristic
113C31×#102—24no—
114C31×#102—24no—
115C31×C22⋊C8—22no—
116C31×C22⋊C8C2314yes—
117C31×#95—21no—
118C31×#95C2312yes—
119C24×C31—24no—
120C24×C31—21no—
121C24×C31—22no—
122C24×C31—22no—
123C24×C31—21no—
124C24×C31—21no—
125C24×C31—41no—
126C24×C31—42no—
127C24×C31—42no—
128C24×C31—42no—
129C24×C31—42no—
130C24×C31—42no—
131C24×C31—42no—
132C24×C31—42no—
133C24×C31—41no—
134C24×C31—41no—
135C24×C31C2×D411yescharacteristic
136C24×C31C2×D411yescharacteristic
137C24×C31C2×D411yescharacteristic
138#41×C31—44no—
139#41×C31—82no—
140C2×Q8×C31—21no—
141C2×Q8×C31C2×D412yescomplemented
142C2×D4×C31—28no—
143C2×D4×C31—22no—
144C2×D4×C31—22no—
145C2×D4×C31—22no—
146C2×D4×C31—22no—
147C2×D4×C31—21no—
148C2×D4×C31—22no—
149C2×D4×C31—22no—
150C2×D4×C31—24no—
151C2×D4×C31—44no—
152C2×D4×C31—44no—
153C2×D4×C31—44no—
154C2×D4×C31—44no—
155C2×D4×C31—48no—
156C2×D4×C31—42no—
157C2×D4×C31—44no—
158C2×D4×C31—44no—
159C2×D4×C31—44no—
160C2×D4×C31—44no—
161C2×D4×C31—432no—
162C2×D4×C31—42no—
163C2×D4×C31—44no—
164C2×D4×C31—42no—
165C2×D4×C31—82no—
166C2×D4×C31—82no—
167C2×D4×C31C2×D412yescomplemented
168C22×C4×C31—21no—
169C22×C4×C31—24no—
170C22×C4×C31—21no—
171C22×C4×C31—22no—
172C22×C4×C31—21no—
173C22×C4×C31—21no—
174C22×C4×C31—22no—
175C22×C4×C31—21no—
176C22×C4×C31—22no—
177C22×C4×C31—42no—
178C22×C4×C31—42no—
179C22×C4×C31—42no—
180C22×C4×C31—42no—
181C22×C4×C31C2×D412yes—
182C22×C4×C31C2×D411yescharacteristic
183C22×C4×C31C2×D411yescharacteristic
184C22×C4×C31C2×D411yescharacteristic
185C22×C4×C31C2×D412yes—
186C22×C4×C31C2411yescharacteristic
187SD16×C31—48no—
188D8×C31—48no—
189M16×C31—44no—
190C2×C8×C31—24no—
191C4⋊C4×C31—22no—
192C4⋊C4×C31—21no—
193C4⋊C4×C31—21no—
194C4⋊C4×C31—22no—
195C4⋊C4×C31—22no—
196C4⋊C4×C31—22no—
197C4⋊C4×C31C2×D412yescomplemented
198C4⋊C4×C31C2×D412yescomplemented
199C22⋊C4×C31—22no—
200C22⋊C4×C31—22no—
201C22⋊C4×C31—22no—
202C22⋊C4×C31—22no—
203C22⋊C4×C31—22no—
204C22⋊C4×C31—22no—
205C22⋊C4×C31—22no—
206C22⋊C4×C31—22no—
207C22⋊C4×C31—22no—
208C22⋊C4×C31—22no—
209C22⋊C4×C31—22no—
210C22⋊C4×C31—22no—
211C22⋊C4×C31—22no—
212C22⋊C4×C31—22no—
213C22⋊C4×C31—44no—
214C22⋊C4×C31—44no—
215C42×C31—22no—
216C42×C31—22no—
217#18162C3111yesmaximal, characteristic, direct product factor, Sylow
218C23×C31—21no—
219C23×C31—21no—
220C23×C31—22no—
221C23×C31—22no—
222C23×C31—21no—
223C23×C31—21no—
224C23×C31—24no—
225C23×C31—21no—
226C23×C31—22no—
227C23×C31—21no—
228C23×C31—21no—
229C23×C31—42no—
230C23×C31—42no—
231C23×C31—41no—
232C23×C31—41no—
233C23×C31—41no—
234C23×C31—41no—
235C23×C31—42no—
236C23×C31—48no—
237C23×C31—48no—
238C23×C31—42no—
239C23×C31—42no—
240C23×C31—44no—
241C23×C31—48no—
242C23×C31—42no—
243C23×C31—42no—
244C23×C31—42no—
245C23×C31—42no—
246C23×C31—42no—
247C23×C31—44no—
248C23×C31—42no—
249C23×C31—81no—
250C23×C31—81no—
251C23×C31—84no—
252C23×C31—84no—
253C23×C31—84no—
254C23×C31—82no—
255C23×C31—82no—
256C23×C31—82no—
257C23×C31—81no—
258C23×C31—81no—
259C23×C31—82no—
260C23×C31#12011yescharacteristic
261C23×C31#12011yescharacteristic
262C23×C31AGL(1,ℤ/8)12yescomplemented
263C23×C31C22×D411yescharacteristic
264Q8×C31—42no—
265Q8×C31—81no—
266D4×C31—28no—
267D4×C31—42no—
268D4×C31—44no—
269D4×C31—48no—
270D4×C31—44no—
271D4×C31—416no—
272D4×C31—416no—
273D4×C31—42no—
274D4×C31—42no—
275D4×C31—44no—
276D4×C31—44no—
277D4×C31—82no—
278D4×C31—82no—
279D4×C31—81no—
280C2×C4×C31—24no—
281C2×C4×C31—24no—
282C2×C4×C31—22no—
283C2×C4×C31—21no—
284C2×C4×C31—22no—
285C2×C4×C31—22no—
286C2×C4×C31—21no—
287C2×C4×C31—42no—
288C2×C4×C31—41no—
289C2×C4×C31—41no—
290C2×C4×C31—48no—
291C2×C4×C31—42no—
292C2×C4×C31—42no—
293C2×C4×C31—42no—
294C2×C4×C31—42no—
295C2×C4×C31—41no—
296C2×C4×C31—41no—
297C2×C4×C31—82no—
298C2×C4×C31—81no—
299C2×C4×C31—81no—
300C2×C4×C31—81no—
301C2×C4×C31—82no—
302C2×C4×C31#12012yes—
303C2×C4×C31C22×D412yes—
304C8×C31—44no—
305#3490C2×C3111yescharacteristic, complemented
306#3003C2×C3112yescomplemented
307C2×#392C2×C3111yescharacteristic, complemented
308#1600C2×C3114yescomplemented
309#1596C2×C3112yescomplemented
310#1595C2×C3112yescomplemented
311#1504C2×C3112yescomplemented
312#1462C2×C3111yescharacteristic, complemented
313C22×C31—24no—
314C22×C31—24no—
315C22×C31—21no—
316C22×C31—21no—
317C22×C31—21no—
318C22×C31—21no—
319C22×C31—21no—
320C22×C31—21no—
321C22×C31—22no—
322C22×C31—42no—
323C22×C31—42no—
324C22×C31—44no—
325C22×C31—44no—
326C22×C31—41no—
327C22×C31—41no—
328C22×C31—42no—
329C22×C31—41no—
330C22×C31—42no—
331C22×C31—41no—
332C22×C31—42no—
333C22×C31—44no—
334C22×C31—41no—
335C22×C31—81no—
336C22×C31—84no—
337C22×C31—84no—
338C22×C31—81no—
339C22×C31—82no—
340C22×C31—82no—
341C22×C31—88no—
342C22×C31—88no—
343C22×C31—82no—
344C22×C31—82no—
345C22×C31—162no—
346C22×C31#45312yes—
347C22×C31B(4,𝔽2)12yes—
348C22×C31C2×#12011yescharacteristic
349C22×C31C2×AGL(1,ℤ/8)11yescharacteristic
350C22×C31#57511yescharacteristic
351C4×C31—22no—
352C4×C31—22no—
353C4×C31—44no—
354C4×C31—42no—
355C4×C31—41no—
356C4×C31—41no—
357C4×C31—42no—
358C4×C31—42no—
359C23×D4—21no—
360C23×D4C22×C3111yescharacteristic, complemented
361C2×AGL(1,ℤ/8)—22no—
362#551—22no—
363#551—22no—
364#546—22no—
365#546—22no—
366#543C22×C3111yescharacteristic, complemented
367#538—21no—
368#538C22×C3112yescomplemented
369#534C22×C3111yescharacteristic, complemented
370#525—21no—
371#525C22×C3112yes—
372C2×#120—21no—
373#518—21no—
374C22×C22⋊C4—21no—
375C22×C22⋊C4C22×C3111yescharacteristic
376#450—22no—
377#450C22×C3114yescomplemented
378#447—22no—
379#447C22×C3114yescomplemented
380#418—22no—
381#407C22×C3112yescomplemented
382#392—21no—
383#392—21no—
384#392C22×C3112yes—
385#392C22×C3112yescomplemented
386C2×#95C22×C3111yescharacteristic, complemented
387#328C22×C3114yescomplemented
388#327C22×C3114yescomplemented
389#323C22×C3112yescomplemented
390#323C22×C3112yescomplemented
391C2×C31—21no—
392C2×C31—21no—
393C2×C31—22no—
394C2×C31—22no—
395C2×C31—42no—
396C2×C31—81no—
397C2×C31—84no—
398C2×C31—82no—
399C2×C31#300611yescharacteristic
400C2×C31C2×#45311yescharacteristic
401C2×C31C2×B(4,𝔽2)11yescharacteristic
402C25—21no—
403C25D4×C3111yescharacteristic
404C2×#41—21no—
405C2×#41D4×C3112yescomplemented
406C22×D4—21no—
407C22×D4—21no—
408C22×D4—21no—
409C22×D4—22no—
410C22×D4—22no—
411C22×D4—22no—
412C22×D4—22no—
413C22×D4—21no—
414C22×D4—44no—
415C22×D4—44no—
416C22×D4—44no—
417C22×D4—44no—
418C22×D4C23×C3112yes—
419C23×C4—21no—
420C23×C4D4×C3111yescharacteristic
421C23×C4C23×C3111yescharacteristic
422AGL(1,ℤ/8)—48no—
423C2×SD16—24no—
424C2×D8—24no—
425C2×M16—22no—
426#126—22no—
427#126—22no—
428#124—22no—
429#124—22no—
430#123—22no—
431#123—22no—
432#123—22no—
433#123—22no—
434#123—22no—
435C22⋊Q8—21no—
436C22⋊Q8—22no—
437C22⋊Q8—21no—
438C22⋊Q8—22no—
439C22⋊Q8D4×C3112yescomplemented
440C22⋊Q8C23×C3112yes—
441#121—21no—
442#121—22no—
443#121—22no—
444#121—21no—
445#121D4×C3112yescomplemented
446#121C23×C3112yes—
447#120—22no—
448#120—22no—
449#120—22no—
450#120—22no—
451#120—22no—
452C4×D4—22no—
453C4×D4—22no—
454C4×D4—22no—
455C4×D4—22no—
456C4×D4—22no—
457C4×D4—22no—
458#117—22no—
459#117—21no—
460#117D4×C3112yescomplemented
461C2×C22⋊C4—22no—
462C2×C22⋊C4—21no—
463C2×C22⋊C4—21no—
464C2×C22⋊C4—21no—
465C2×C22⋊C4—22no—
466C2×C22⋊C4—22no—
467C2×C22⋊C4—22no—
468C2×C22⋊C4—22no—
469C2×C22⋊C4—44no—
470C2×C22⋊C4D4×C3111yescharacteristic
471C2×C22⋊C4D4×C3111yescharacteristic
472C2×C22⋊C4C23×C3111yescharacteristic
473C2×C22⋊C4C23×C3111yescharacteristic
474#102—24no—
475#102—24no—
476C22⋊C8—22no—
477C22⋊C8C23×C3114yes—
478#95—21no—
479#95C23×C3112yes—
480C31#1816211yescharacteristic, direct product factor, Sylow
481C24—24no—
482C24—21no—
483C24—22no—
484C24—22no—
485C24—21no—
486C24—21no—
487C24—41no—
488C24—42no—
489C24—42no—
490C24—42no—
491C24—42no—
492C24—42no—
493C24—42no—
494C24—42no—
495C24—41no—
496C24—41no—
497C24C2×D4×C3111yescharacteristic
498C24C2×D4×C3111yescharacteristic
499C24C2×D4×C3111yescharacteristic
500#41—44no—
501#41—82no—
502C2×Q8—21no—
503C2×Q8C2×D4×C3112yescomplemented
504C2×D4—28no—
505C2×D4—22no—
506C2×D4—22no—
507C2×D4—22no—
508C2×D4—22no—
509C2×D4—21no—
510C2×D4—22no—
511C2×D4—22no—
512C2×D4—24no—
513C2×D4—44no—
514C2×D4—44no—
515C2×D4—44no—
516C2×D4—44no—
517C2×D4—48no—
518C2×D4—42no—
519C2×D4—44no—
520C2×D4—44no—
521C2×D4—44no—
522C2×D4—44no—
523C2×D4—432no—
524C2×D4—42no—
525C2×D4—44no—
526C2×D4—42no—
527C2×D4—82no—
528C2×D4—82no—
529C2×D4C2×D4×C3112yescomplemented
530C22×C4—21no—
531C22×C4—24no—
532C22×C4—21no—
533C22×C4—22no—
534C22×C4—21no—
535C22×C4—21no—
536C22×C4—22no—
537C22×C4—21no—
538C22×C4—22no—
539C22×C4—42no—
540C22×C4—42no—
541C22×C4—42no—
542C22×C4—42no—
543C22×C4C2×D4×C3112yes—
544C22×C4C2×D4×C3111yescharacteristic
545C22×C4C2×D4×C3111yescharacteristic
546C22×C4C2×D4×C3111yescharacteristic
547C22×C4C2×D4×C3112yes—
548C22×C4C24×C3111yescharacteristic
549SD16—48no—
550D8—48no—
551M16—44no—
552C2×C8—24no—
553C4⋊C4—22no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—22no—
557C4⋊C4—22no—
558C4⋊C4—22no—
559C4⋊C4C2×D4×C3112yescomplemented
560C4⋊C4C2×D4×C3112yescomplemented
561C22⋊C4—22no—
562C22⋊C4—22no—
563C22⋊C4—22no—
564C22⋊C4—22no—
565C22⋊C4—22no—
566C22⋊C4—22no—
567C22⋊C4—22no—
568C22⋊C4—22no—
569C22⋊C4—22no—
570C22⋊C4—22no—
571C22⋊C4—22no—
572C22⋊C4—22no—
573C22⋊C4—22no—
574C22⋊C4—22no—
575C22⋊C4—44no—
576C22⋊C4—44no—
577C42—22no—
578C42—22no—
579C23—22no—
580C23—22no—
581C23—21no—
582C23—21no—
583C23—21no—
584C23—21no—
585C23—24no—
586C23—21no—
587C23—22no—
588C23—21no—
589C23—21no—
590C23—42no—
591C23—42no—
592C23—41no—
593C23—41no—
594C23—41no—
595C23—41no—
596C23—42no—
597C23—48no—
598C23—48no—
599C23—42no—
600C23—42no—
601C23—44no—
602C23—48no—
603C23—42no—
604C23—42no—
605C23—44no—
606C23—42no—
607C23—42no—
608C23—42no—
609C23—42no—
610C23—81no—
611C23—81no—
612C23—84no—
613C23—84no—
614C23—84no—
615C23—82no—
616C23—82no—
617C23—82no—
618C23—81no—
619C23—81no—
620C23—82no—
621C23C31×#12011yescharacteristic
622C23C31×#12011yescharacteristic
623C23C31×AGL(1,ℤ/8)12yescomplemented
624C23C22×D4×C3111yescharacteristic
625Q8—42no—
626Q8—81no—
627D4—28no—
628D4—42no—
629D4—44no—
630D4—48no—
631D4—44no—
632D4—416no—
633D4—416no—
634D4—44no—
635D4—44no—
636D4—42no—
637D4—42no—
638D4—82no—
639D4—82no—
640D4—81no—
641C2×C4—24no—
642C2×C4—24no—
643C2×C4—22no—
644C2×C4—21no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—21no—
648C2×C4—42no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—48no—
652C2×C4—42no—
653C2×C4—42no—
654C2×C4—42no—
655C2×C4—42no—
656C2×C4—41no—
657C2×C4—41no—
658C2×C4—82no—
659C2×C4—81no—
660C2×C4—81no—
661C2×C4—81no—
662C2×C4—82no—
663C2×C4C31×#12012yes—
664C2×C4C22×D4×C3112yes—
665C8—44no—
666C22—24no—
667C22—24no—
668C22—21no—
669C22—21no—
670C22—21no—
671C22—21no—
672C22—21no—
673C22—21no—
674C22—22no—
675C22—42no—
676C22—42no—
677C22—44no—
678C22—44no—
679C22—41no—
680C22—41no—
681C22—42no—
682C22—41no—
683C22—42no—
684C22—41no—
685C22—42no—
686C22—44no—
687C22—41no—
688C22—81no—
689C22—84no—
690C22—84no—
691C22—81no—
692C22—82no—
693C22—82no—
694C22—88no—
695C22—88no—
696C22—82no—
697C22—82no—
698C22—162no—
699C22C31×#45312yes—
700C22C31×B(4,𝔽2)12yes—
701C22C2×C31×#12011yescharacteristic
702C22C2×C31×AGL(1,ℤ/8)11yescharacteristic
703C22C31×#57511yescharacteristic
704C4—22no—
705C4—22no—
706C4—44no—
707C4—42no—
708C4—41no—
709C4—41no—
710C4—42no—
711C4—42no—
712C2—21no—
713C2—21no—
714C2—22no—
715C2—22no—
716C2—42no—
717C2—81no—
718C2—84no—
719C2—82no—
720C2C31×#300611yescharacteristic
721C2C2×C31×#45311yescharacteristic
722C2C2×C31×B(4,𝔽2)11yescharacteristic
subgroupG/H
center, socleC22×C31C2×#120
commutator, Frattini, cosocleC22×C4C24×C31
LCSG ▷ C22×C4 ▷ C22 ▷ C1
UCSC1 ◁ C22×C31 ◁ C23×C4×C31 ◁ G

Complements

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

NH ≅ G/Ntype
1. C31×#3490C2semidirect
2. C31×#3003C2semidirect
3. C2×C31×#392C2semidirect
4. C31×#1600C2semidirect
5. C31×#1596C2semidirect
6. C31×#1595C2semidirect
7. C31×#1504C2semidirect
8. C31×#1462C2semidirect
10. C23×D4×C31C22semidirect
16. C31×#543C22semidirect
18. C31×#538C22semidirect
19. C31×#534C22semidirect
27. C31×#450C22semidirect
29. C31×#447C22semidirect
31. C31×#407C22semidirect
35. C31×#392C22semidirect
36. C2×C31×#95C22semidirect
37. C31×#328C22semidirect
38. C31×#327C22semidirect
39. C31×#323C22semidirect
40. C31×#323C22semidirect
44. C2×#41×C31D4semidirect
78. C31×C22⋊Q8D4semidirect
84. C31×#121D4semidirect
99. C31×#117D4semidirect
141. C2×Q8×C31C2×D4semidirect
167. C2×D4×C31C2×D4semidirect
197. C4⋊C4×C31C2×D4semidirect
198. C4⋊C4×C31C2×D4semidirect
217. #18162C31direct (N × H)
262. C23×C31AGL(1,ℤ/8)semidirect
305. #3490C2×C31semidirect
306. #3003C2×C31semidirect
307. C2×#392C2×C31semidirect
308. #1600C2×C31semidirect
309. #1596C2×C31semidirect
310. #1595C2×C31semidirect
311. #1504C2×C31semidirect
312. #1462C2×C31semidirect
360. C23×D4C22×C31semidirect
366. #543C22×C31semidirect
368. #538C22×C31semidirect
369. #534C22×C31semidirect
377. #450C22×C31semidirect
379. #447C22×C31semidirect
381. #407C22×C31semidirect
385. #392C22×C31semidirect
386. C2×#95C22×C31semidirect
387. #328C22×C31semidirect
388. #327C22×C31semidirect
389. #323C22×C31semidirect
390. #323C22×C31semidirect
405. C2×#41D4×C31semidirect
439. C22⋊Q8D4×C31semidirect
445. #121D4×C31semidirect
460. #117D4×C31semidirect
480. C31#18162direct (N × H)
503. C2×Q8C2×D4×C31semidirect
529. C2×D4C2×D4×C31semidirect
559. C4⋊C4C2×D4×C31semidirect
560. C4⋊C4C2×D4×C31semidirect
623. C23C31×AGL(1,ℤ/8)semidirect

Maximal subgroups

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

subgroupindex
C31×#34902
C31×#30032
C2×C31×#3922
C31×#16002
C31×#15962
C31×#15952
C31×#15042
C31×#14622
#1816231