Finite Group Databasebeta

← C31×#23393 #21480152

Subgroups — C31×#23393 #21480152

Order 7936.

2206 conjugacy classes of subgroups.

The subgroup lattice has 690 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C31×AGL(1,ℤ/8)C211yesmaximal, characteristic, complemented
2C2×C31×#537C211yesmaximal, characteristic, complemented
3C2×C31×#535C211yesmaximal, characteristic, complemented
4C2×C31×#416C211yesmaximal, characteristic, complemented
5C22×C31×#102C211yesmaximal, characteristic, complemented
6C2×C31×#408C211yesmaximal, characteristic, complemented
7C31×#2000C214yesmaximal, complemented
8C31×#1999C214yesmaximal, complemented
9C31×#1736C211yesmaximal, characteristic, complemented
10C22×#41×C31C2211yescharacteristic
11C22×#41×C31C2211yescharacteristic
12C23×D4×C31C2211yescharacteristic
13C2×C31×AGL(1,ℤ/8)—24no—
14C2×C31×AGL(1,ℤ/8)—24no—
15C2×C31×AGL(1,ℤ/8)—24no—
16C22×SD16×C31C2212yes—
17C22×D8×C31C2212yes—
18C22×M16×C31C2211yescharacteristic
19C23×C8×C31C2211yescharacteristic
20C31×#537—24no—
21C31×#537—24no—
22C31×#535—24no—
23C31×#535—24no—
24C2×C31×#127—21no—
25C2×C31×#124—21no—
26C2×C31×C22⋊Q8—21no—
27C2×C31×C22⋊Q8C2212yescomplemented
28C2×C31×#121—21no—
29C2×C31×#121—22no—
30C2×C31×#121C2214yes—
31C2×C31×#121C2212yescomplemented
32C2×C31×#120—22no—
33C2×C31×#117C2211yescharacteristic
34C22×C4⋊C4×C31C2211yescharacteristic
35C31×#416—24no—
36C2×C31×#103C2212yescomplemented
37C2×C31×#102—24no—
38C2×C31×#102C2214yes—
39C2×C31×#102C2212yescomplemented
40C31×#408—24no—
41C2×C31×C22⋊C8C2214yescomplemented
42C31×#340C2214yescomplemented
43C25×C31—21no—
44C2×#41×C31—22no—
45C2×#41×C31—22no—
46C2×#41×C31—22no—
47C2×#41×C31—22no—
48C2×#41×C31—22no—
49C2×#41×C31—22no—
50C2×#41×C31—22no—
51C2×#41×C31—22no—
52C2×#41×C31—22no—
53C2×#41×C31—22no—
54C2×#41×C31—22no—
55C2×#41×C31D414yescomplemented
56C22×Q8×C31D411yescharacteristic
57C22×Q8×C31C2311yescharacteristic
58C22×D4×C31—21no—
59C22×D4×C31—24no—
60C22×D4×C31—22no—
61C22×D4×C31—22no—
62C22×D4×C31—22no—
63C22×D4×C31—22no—
64C22×D4×C31—21no—
65C22×D4×C31—22no—
66C22×D4×C31—22no—
67C22×D4×C31D412yes—
68C22×D4×C31D411yescharacteristic
69C22×D4×C31D414yescomplemented
70C22×D4×C31C2312yes—
71C22×D4×C31C2311yescharacteristic
72C23×C4×C31—21no—
73C23×C4×C31—21no—
74C23×C4×C31C2312yes—
75C23×C4×C31C2311yescharacteristic
76C31×AGL(1,ℤ/8)—232no—
77C2×SD16×C31—24no—
78C2×SD16×C31—24no—
79C2×SD16×C31—24no—
80C2×D8×C31—24no—
81C2×D8×C31—24no—
82C2×D8×C31—24no—
83C2×M16×C31—22no—
84C2×M16×C31—22no—
85C2×M16×C31D414yescomplemented
86C22×C8×C31—22no—
87C22×C8×C31—22no—
88C22×C8×C31—22no—
89C22×C8×C31C2312yes—
90C22×C8×C31C2312yes—
91C31×#127—28no—
92C31×#124—28no—
93C31×C22⋊Q8—28no—
94C31×C22⋊Q8—24no—
95C31×C22⋊Q8—24no—
96C31×#121—216no—
97C31×#121—28no—
98C31×#121—28no—
99C31×#121—24no—
100C31×#121—28no—
101C31×#121—24no—
102C31×#120—216no—
103C31×#117—22no—
104C31×#117D414yescomplemented
105C2×C4⋊C4×C31—21no—
106C2×C4⋊C4×C31—22no—
107C2×C4⋊C4×C31—22no—
108C2×C4⋊C4×C31D414yescomplemented
109C2×C4⋊C4×C31C2312yes—
110C2×C4⋊C4×C31C2312yes—
111C2×C22⋊C4×C31—21no—
112C2×C22⋊C4×C31—22no—
113C2×C22⋊C4×C31—24no—
114C2×C22⋊C4×C31—22no—
115C2×C42×C31—21no—
116C31×#103—24no—
117C31×#102—28no—
118C31×#102—24no—
119C31×C22⋊C8—28no—
120C24×C31—21no—
121C24×C31—22no—
122C24×C31—24no—
123C24×C31—42no—
124C24×C31—42no—
125C24×C31—82no—
126C24×C31—82no—
127C24×C31C2×D412yes—
128C24×C31C2×D411yescharacteristic
129#41×C31—28no—
130#41×C31—28no—
131#41×C31—44no—
132#41×C31—44no—
133#41×C31—44no—
134#41×C31—44no—
135#41×C31—44no—
136#41×C31—44no—
137C2×Q8×C31—22no—
138C2×Q8×C31—22no—
139C2×Q8×C31—22no—
140C2×Q8×C31—21no—
141C2×Q8×C31—21no—
142C2×Q8×C31—21no—
143C2×Q8×C31—21no—
144C2×Q8×C31—21no—
145C2×Q8×C31C2×D412yes—
146C2×D4×C31—24no—
147C2×D4×C31—24no—
148C2×D4×C31—24no—
149C2×D4×C31—24no—
150C2×D4×C31—216no—
151C2×D4×C31—28no—
152C2×D4×C31—28no—
153C2×D4×C31—22no—
154C2×D4×C31—24no—
155C2×D4×C31—22no—
156C2×D4×C31—28no—
157C2×D4×C31—22no—
158C2×D4×C31—22no—
159C2×D4×C31—21no—
160C2×D4×C31—21no—
161C2×D4×C31—21no—
162C2×D4×C31—22no—
163C2×D4×C31—22no—
164C2×D4×C31—22no—
165C2×D4×C31—21no—
166C2×D4×C31—22no—
167C2×D4×C31—21no—
168C2×D4×C31—42no—
169C2×D4×C31—42no—
170C2×D4×C31—42no—
171C2×D4×C31—44no—
172C2×D4×C31—42no—
173C2×D4×C31—44no—
174C2×D4×C31—84no—
175C2×D4×C31—84no—
176C2×D4×C31—84no—
177C2×D4×C31C2×D412yes—
178C2×D4×C31C2×D414yes—
179C22×C4×C31—22no—
180C22×C4×C31—22no—
181C22×C4×C31—21no—
182C22×C4×C31—24no—
183C22×C4×C31—24no—
184C22×C4×C31—22no—
185C22×C4×C31—22no—
186C22×C4×C31—22no—
187C22×C4×C31—22no—
188C22×C4×C31—22no—
189C22×C4×C31—22no—
190C22×C4×C31—42no—
191C22×C4×C31—42no—
192C22×C4×C31—82no—
193C22×C4×C31C2×D412yes—
194C22×C4×C31C2×D411yescharacteristic
195C22×C4×C31C2×D412yes—
196C22×C4×C31C2×D412yes—
197C22×C4×C31C2×D412yes—
198C22×C4×C31C2×D412yes—
199C22×C4×C31C2×D412yes—
200C22×C4×C31#4112yes—
201C22×C4×C31C2411yescharacteristic
202SD16×C31—216no—
203D8×C31—216no—
204M16×C31—28no—
205C2×C8×C31—22no—
206C2×C8×C31—22no—
207C2×C8×C31—22no—
208C2×C8×C31—22no—
209C2×C8×C31—22no—
210C2×C8×C31—44no—
211C2×C8×C31C2×D414yes—
212C4⋊C4×C31—28no—
213C4⋊C4×C31—24no—
214C4⋊C4×C31—22no—
215C4⋊C4×C31—22no—
216C4⋊C4×C31C2×D414yes—
217C4⋊C4×C31C2×D414yes—
218C22⋊C4×C31—216no—
219C22⋊C4×C31—28no—
220C22⋊C4×C31—28no—
221C22⋊C4×C31—24no—
222C42×C31—24no—
223#23393C3111yesmaximal, characteristic, direct product factor, Sylow
224C23×C31—22no—
225C23×C31—22no—
226C23×C31—22no—
227C23×C31—22no—
228C23×C31—24no—
229C23×C31—22no—
230C23×C31—22no—
231C23×C31—24no—
232C23×C31—24no—
233C23×C31—41no—
234C23×C31—42no—
235C23×C31—41no—
236C23×C31—42no—
237C23×C31—42no—
238C23×C31—44no—
239C23×C31—44no—
240C23×C31—42no—
241C23×C31—48no—
242C23×C31—88no—
243C23×C31—84no—
244C23×C31—84no—
245C23×C31—88no—
246C23×C31#12012yes—
247C23×C31#12012yes—
248C23×C31#12112yes—
249C23×C31C22×D411yescharacteristic
250Q8×C31—22no—
251Q8×C31—22no—
252Q8×C31—41no—
253Q8×C31—41no—
254Q8×C31—44no—
255D4×C31—22no—
256D4×C31—24no—
257D4×C31—24no—
258D4×C31—22no—
259D4×C31—48no—
260D4×C31—48no—
261D4×C31—42no—
262D4×C31—41no—
263D4×C31—42no—
264D4×C31—41no—
265D4×C31—48no—
266D4×C31—44no—
267D4×C31—88no—
268D4×C31—816no—
269C2×C4×C31—24no—
270C2×C4×C31—22no—
271C2×C4×C31—24no—
272C2×C4×C31—22no—
273C2×C4×C31—22no—
274C2×C4×C31—22no—
275C2×C4×C31—41no—
276C2×C4×C31—41no—
277C2×C4×C31—44no—
278C2×C4×C31—42no—
279C2×C4×C31—42no—
280C2×C4×C31—42no—
281C2×C4×C31—42no—
282C2×C4×C31—42no—
283C2×C4×C31—42no—
284C2×C4×C31—48no—
285C2×C4×C31—84no—
286C2×C4×C31#12014yes—
287C2×C4×C31#12012yes—
288C2×C4×C31#12012yes—
289C2×C4×C31#12114yes—
290C2×C4×C31#12114yes—
291C2×C4×C31#12112yes—
292C2×C4×C31#12714yes—
293C2×C4×C31C22×D411yescharacteristic
294C2×C4×C31C22×D411yescharacteristic
295C2×C4×C31C22×D411yescharacteristic
296C2×C4×C31C22×D411yescharacteristic
297C2×C4×C31C22×D411yescharacteristic
298C2×C4×C31C2×#4111yescharacteristic
299C8×C31—24no—
300C8×C31—42no—
301C22×AGL(1,ℤ/8)C2×C3111yescharacteristic, complemented
302C2×#537C2×C3111yescharacteristic, complemented
303C2×#535C2×C3111yescharacteristic, complemented
304C2×#416C2×C3111yescharacteristic, complemented
305C22×#102C2×C3111yescharacteristic, complemented
306C2×#408C2×C3111yescharacteristic, complemented
307#2000C2×C3114yescomplemented
308#1999C2×C3114yescomplemented
309#1736C2×C3111yescharacteristic, complemented
310C22×C31—22no—
311C22×C31—22no—
312C22×C31—24no—
313C22×C31—24no—
314C22×C31—42no—
315C22×C31—42no—
316C22×C31—44no—
317C22×C31—42no—
318C22×C31—42no—
319C22×C31—42no—
320C22×C31—42no—
321C22×C31—44no—
322C22×C31—48no—
323C22×C31—44no—
324C22×C31—816no—
325C22×C31—82no—
326C22×C31—82no—
327C22×C31—82no—
328C22×C31—82no—
329C22×C31—84no—
330C22×C31#39214yes—
331C22×C31C2×#12011yescharacteristic
332C22×C31C2×#12011yescharacteristic
333C22×C31C2×#12111yescharacteristic
334C22×C31#57612yes—
335C22×C31#57712yes—
336C4×C31—42no—
337C4×C31—42no—
338C4×C31—44no—
339C4×C31—44no—
340C4×C31#39214yes—
341C4×C31C2×#12011yescharacteristic
342C4×C31C2×#12111yescharacteristic
343C4×C31C2×#12111yescharacteristic
344C4×C31C2×#12711yescharacteristic
345C22×#41C22×C3111yescharacteristic
346C22×#41C22×C3111yescharacteristic
347C23×D4C22×C3111yescharacteristic
348C2×AGL(1,ℤ/8)—24no—
349C2×AGL(1,ℤ/8)—24no—
350C2×AGL(1,ℤ/8)—24no—
351C22×SD16C22×C3112yes—
352C22×D8C22×C3112yes—
353C22×M16C22×C3111yescharacteristic
354C23×C8C22×C3111yescharacteristic
355#537—24no—
356#537—24no—
357#535—24no—
358#535—24no—
359C2×#127—21no—
360C2×#124—21no—
361C2×C22⋊Q8—21no—
362C2×C22⋊Q8C22×C3112yescomplemented
363C2×#121—21no—
364C2×#121—22no—
365C2×#121C22×C3114yes—
366C2×#121C22×C3112yescomplemented
367C2×#120—22no—
368C2×#117C22×C3111yescharacteristic
369C22×C4⋊C4C22×C3111yescharacteristic
370#416—24no—
371C2×#103C22×C3112yescomplemented
372C2×#102—24no—
373C2×#102C22×C3114yes—
374C2×#102C22×C3112yescomplemented
375#408—24no—
376C2×C22⋊C8C22×C3114yescomplemented
377#340C22×C3114yescomplemented
378C2×C31—24no—
379C2×C31—82no—
380C2×C31—82no—
381C2×C31—84no—
382C2×C31C2×#39211yescharacteristic
383C2×C31#300811yescharacteristic
384C2×C31#301011yescharacteristic
385C2×C31#301212yes—
386C2×C31#306212yes—
387C25—21no—
388C2×#41—22no—
389C2×#41—22no—
390C2×#41—22no—
391C2×#41—22no—
392C2×#41—22no—
393C2×#41—22no—
394C2×#41—22no—
395C2×#41—22no—
396C2×#41—22no—
397C2×#41—22no—
398C2×#41—22no—
399C2×#41D4×C3114yescomplemented
400C22×Q8D4×C3111yescharacteristic
401C22×Q8C23×C3111yescharacteristic
402C22×D4—21no—
403C22×D4—24no—
404C22×D4—22no—
405C22×D4—22no—
406C22×D4—22no—
407C22×D4—22no—
408C22×D4—21no—
409C22×D4—22no—
410C22×D4—22no—
411C22×D4D4×C3112yes—
412C22×D4D4×C3111yescharacteristic
413C22×D4D4×C3114yescomplemented
414C22×D4C23×C3112yes—
415C22×D4C23×C3111yescharacteristic
416C23×C4—21no—
417C23×C4—21no—
418C23×C4C23×C3112yes—
419C23×C4C23×C3111yescharacteristic
420AGL(1,ℤ/8)—232no—
421C2×SD16—24no—
422C2×SD16—24no—
423C2×SD16—24no—
424C2×D8—24no—
425C2×D8—24no—
426C2×D8—24no—
427C2×M16—22no—
428C2×M16—22no—
429C2×M16D4×C3114yescomplemented
430C22×C8—22no—
431C22×C8—22no—
432C22×C8—22no—
433C22×C8C23×C3112yes—
434C22×C8C23×C3112yes—
435#127—28no—
436#124—28no—
437C22⋊Q8—28no—
438C22⋊Q8—24no—
439C22⋊Q8—24no—
440#121—216no—
441#121—28no—
442#121—28no—
443#121—24no—
444#121—28no—
445#121—24no—
446#120—216no—
447#117—22no—
448#117D4×C3114yescomplemented
449C2×C4⋊C4—21no—
450C2×C4⋊C4—22no—
451C2×C4⋊C4—22no—
452C2×C4⋊C4D4×C3114yescomplemented
453C2×C4⋊C4C23×C3112yes—
454C2×C4⋊C4C23×C3112yes—
455C2×C22⋊C4—21no—
456C2×C22⋊C4—22no—
457C2×C22⋊C4—24no—
458C2×C22⋊C4—22no—
459C2×C42—21no—
460#103—24no—
461#102—28no—
462#102—24no—
463C22⋊C8—28no—
464C31#2339311yescharacteristic, direct product factor, Sylow
465C24—21no—
466C24—22no—
467C24—24no—
468C24—42no—
469C24—42no—
470C24—82no—
471C24—82no—
472C24C2×D4×C3112yes—
473C24C2×D4×C3111yescharacteristic
474#41—28no—
475#41—28no—
476#41—44no—
477#41—44no—
478#41—44no—
479#41—44no—
480#41—44no—
481#41—44no—
482C2×Q8—22no—
483C2×Q8—22no—
484C2×Q8—22no—
485C2×Q8—21no—
486C2×Q8—21no—
487C2×Q8—21no—
488C2×Q8—21no—
489C2×Q8—21no—
490C2×Q8C2×D4×C3112yes—
491C2×D4—24no—
492C2×D4—24no—
493C2×D4—24no—
494C2×D4—24no—
495C2×D4—216no—
496C2×D4—28no—
497C2×D4—28no—
498C2×D4—22no—
499C2×D4—24no—
500C2×D4—22no—
501C2×D4—28no—
502C2×D4—22no—
503C2×D4—22no—
504C2×D4—21no—
505C2×D4—21no—
506C2×D4—21no—
507C2×D4—22no—
508C2×D4—22no—
509C2×D4—22no—
510C2×D4—21no—
511C2×D4—22no—
512C2×D4—21no—
513C2×D4—42no—
514C2×D4—42no—
515C2×D4—42no—
516C2×D4—44no—
517C2×D4—42no—
518C2×D4—44no—
519C2×D4—84no—
520C2×D4—84no—
521C2×D4—84no—
522C2×D4C2×D4×C3112yes—
523C2×D4C2×D4×C3114yes—
524C22×C4—22no—
525C22×C4—22no—
526C22×C4—21no—
527C22×C4—24no—
528C22×C4—24no—
529C22×C4—22no—
530C22×C4—22no—
531C22×C4—22no—
532C22×C4—22no—
533C22×C4—22no—
534C22×C4—22no—
535C22×C4—42no—
536C22×C4—42no—
537C22×C4—82no—
538C22×C4C2×D4×C3112yes—
539C22×C4C2×D4×C3111yescharacteristic
540C22×C4C2×D4×C3112yes—
541C22×C4C2×D4×C3112yes—
542C22×C4C2×D4×C3112yes—
543C22×C4C2×D4×C3112yes—
544C22×C4C2×D4×C3112yes—
545C22×C4#41×C3112yes—
546C22×C4C24×C3111yescharacteristic
547SD16—216no—
548D8—216no—
549M16—28no—
550C2×C8—22no—
551C2×C8—22no—
552C2×C8—22no—
553C2×C8—22no—
554C2×C8—22no—
555C2×C8—44no—
556C2×C8C2×D4×C3114yes—
557C4⋊C4—28no—
558C4⋊C4—24no—
559C4⋊C4—22no—
560C4⋊C4—22no—
561C4⋊C4C2×D4×C3114yes—
562C4⋊C4C2×D4×C3114yes—
563C22⋊C4—216no—
564C22⋊C4—28no—
565C22⋊C4—28no—
566C22⋊C4—24no—
567C42—24no—
568C23—22no—
569C23—22no—
570C23—22no—
571C23—22no—
572C23—24no—
573C23—22no—
574C23—22no—
575C23—24no—
576C23—24no—
577C23—41no—
578C23—42no—
579C23—41no—
580C23—42no—
581C23—42no—
582C23—44no—
583C23—44no—
584C23—42no—
585C23—48no—
586C23—88no—
587C23—84no—
588C23—84no—
589C23—88no—
590C23C31×#12012yes—
591C23C31×#12012yes—
592C23C31×#12112yes—
593C23C22×D4×C3111yescharacteristic
594Q8—22no—
595Q8—22no—
596Q8—41no—
597Q8—41no—
598Q8—44no—
599D4—22no—
600D4—24no—
601D4—24no—
602D4—22no—
603D4—48no—
604D4—48no—
605D4—42no—
606D4—41no—
607D4—42no—
608D4—41no—
609D4—48no—
610D4—44no—
611D4—88no—
612D4—816no—
613C2×C4—24no—
614C2×C4—22no—
615C2×C4—24no—
616C2×C4—22no—
617C2×C4—22no—
618C2×C4—22no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—44no—
622C2×C4—42no—
623C2×C4—42no—
624C2×C4—42no—
625C2×C4—42no—
626C2×C4—42no—
627C2×C4—42no—
628C2×C4—48no—
629C2×C4—84no—
630C2×C4C31×#12014yes—
631C2×C4C31×#12012yes—
632C2×C4C31×#12012yes—
633C2×C4C31×#12114yes—
634C2×C4C31×#12114yes—
635C2×C4C31×#12112yes—
636C2×C4C31×#12714yes—
637C2×C4C22×D4×C3111yescharacteristic
638C2×C4C22×D4×C3111yescharacteristic
639C2×C4C22×D4×C3111yescharacteristic
640C2×C4C22×D4×C3111yescharacteristic
641C2×C4C22×D4×C3111yescharacteristic
642C2×C4C2×#41×C3111yescharacteristic
643C8—24no—
644C8—42no—
645C22—22no—
646C22—22no—
647C22—24no—
648C22—24no—
649C22—42no—
650C22—42no—
651C22—44no—
652C22—42no—
653C22—42no—
654C22—42no—
655C22—42no—
656C22—44no—
657C22—48no—
658C22—44no—
659C22—816no—
660C22—82no—
661C22—82no—
662C22—82no—
663C22—84no—
664C22—82no—
665C22C31×#39214yes—
666C22C2×C31×#12011yescharacteristic
667C22C2×C31×#12011yescharacteristic
668C22C2×C31×#12111yescharacteristic
669C22C31×#57612yes—
670C22C31×#57712yes—
671C4—42no—
672C4—42no—
673C4—44no—
674C4—44no—
675C4C31×#39214yes—
676C4C2×C31×#12011yescharacteristic
677C4C2×C31×#12111yescharacteristic
678C4C2×C31×#12111yescharacteristic
679C4C2×C31×#12711yescharacteristic
680C2—24no—
681C2—82no—
682C2—84no—
683C2—82no—
684C2C2×C31×#39211yescharacteristic
685C2C31×#300811yescharacteristic
686C2C31×#301011yescharacteristic
687C2C31×#301212yes—
688C2C31×#306212yes—
subgroupG/H
center, socleC23×C31C22×D4
commutator, Frattini, cosocleC22×C4C24×C31
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C31 ◁ C22×#41×C31 ◁ G

Complements

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

NH ≅ G/Ntype
1. C22×C31×AGL(1,ℤ/8)C2semidirect
2. C2×C31×#537C2semidirect
3. C2×C31×#535C2semidirect
4. C2×C31×#416C2semidirect
5. C22×C31×#102C2semidirect
6. C2×C31×#408C2semidirect
7. C31×#2000C2semidirect
8. C31×#1999C2semidirect
9. C31×#1736C2semidirect
27. C2×C31×C22⋊Q8C22semidirect
31. C2×C31×#121C22semidirect
36. C2×C31×#103C22semidirect
39. C2×C31×#102C22semidirect
41. C2×C31×C22⋊C8C22semidirect
42. C31×#340C22semidirect
55. C2×#41×C31D4semidirect
69. C22×D4×C31D4semidirect
85. C2×M16×C31D4semidirect
104. C31×#117D4semidirect
108. C2×C4⋊C4×C31D4semidirect
223. #23393C31direct (N × H)
301. C22×AGL(1,ℤ/8)C2×C31semidirect
302. C2×#537C2×C31semidirect
303. C2×#535C2×C31semidirect
304. C2×#416C2×C31semidirect
305. C22×#102C2×C31semidirect
306. C2×#408C2×C31semidirect
307. #2000C2×C31semidirect
308. #1999C2×C31semidirect
309. #1736C2×C31semidirect
362. C2×C22⋊Q8C22×C31semidirect
366. C2×#121C22×C31semidirect
371. C2×#103C22×C31semidirect
374. C2×#102C22×C31semidirect
376. C2×C22⋊C8C22×C31semidirect
377. #340C22×C31semidirect
399. C2×#41D4×C31semidirect
413. C22×D4D4×C31semidirect
429. C2×M16D4×C31semidirect
448. #117D4×C31semidirect
452. C2×C4⋊C4D4×C31semidirect
464. C31#23393direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C31×AGL(1,ℤ/8)2
C2×C31×#5372
C2×C31×#5352
C2×C31×#4162
C22×C31×#1022
C2×C31×#4082
C31×#20002
C31×#19992
C31×#17362
#2339331