Finite Group Databasebeta

← C2×C31×#1600 #21474871

Subgroups — C2×C31×#1600 #21474871

Order 7936.

1716 conjugacy classes of subgroups.

The subgroup lattice has 692 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C31×#538C211yesmaximal, characteristic, complemented
2C2×C31×#450C211yesmaximal, characteristic, complemented
3C2×C31×#447C211yesmaximal, characteristic, complemented
4C2×C31×#392C211yesmaximal, characteristic, complemented
5C31×#1600C218yesmaximal, direct product factor
6C2×C31×#328C211yesmaximal, characteristic, complemented
7C2×C31×#327C211yesmaximal, characteristic, complemented
8C2×C31×#323C211yesmaximal, characteristic, complemented
9C23×D4×C31—21no—
10C23×D4×C31C2211yescharacteristic
11C22×SD16×C31—21no—
12C22×D8×C31—21no—
13C31×#538—22no—
14C31×#538—22no—
15C31×#538—22no—
16C31×#538C2214yescomplemented
17C2×C31×#126—21no—
18C2×C31×#124—21no—
19C2×C31×#123—21no—
20C2×C31×C22⋊Q8C2211yescharacteristic
21C2×C31×#121—21no—
22C2×C31×#121C2211yescharacteristic
23C2×C31×#120—21no—
24C2×C4×D4×C31—21no—
25C22×C22⋊C4×C31—21no—
26C22×C22⋊C4×C31C2211yescharacteristic
27C31×#450—22no—
28C31×#450C2214yescomplemented
29C31×#447—22no—
30C31×#447C2214yescomplemented
31C2×C31×#102—21no—
32C2×C31×#102—21no—
33C2×C31×C22⋊C8C2211yescharacteristic
34C2×C31×C22⋊C8C2211yescharacteristic
35C31×#392—22no—
36C31×#392C2214yescomplemented
37C2×C31×#95C2211yescharacteristic
38C31×#328C2214yescomplemented
39C31×#327C2214yescomplemented
40C31×#323C2214yescomplemented
41C25×C31—21no—
42C25×C31D411yescharacteristic
43C22×Q8×C31D411yescharacteristic, complemented
44C22×D4×C31—21no—
45C22×D4×C31—21no—
46C22×D4×C31—21no—
47C22×D4×C31—24no—
48C22×D4×C31—21no—
49C22×D4×C31—21no—
50C22×D4×C31—21no—
51C22×D4×C31—21no—
52C22×D4×C31—21no—
53C22×D4×C31—44no—
54C22×D4×C31—44no—
55C22×D4×C31—44no—
56C22×D4×C31—44no—
57C22×D4×C31D411yescharacteristic, complemented
58C22×D4×C31C2312yes—
59C23×C4×C31—21no—
60C23×C4×C31—21no—
61C23×C4×C31D411yescharacteristic
62C23×C4×C31C2311yescharacteristic
63C2×SD16×C31—24no—
64C2×SD16×C31—44no—
65C2×D8×C31—24no—
66C2×D8×C31—44no—
67C22×C8×C31—21no—
68C22×C8×C31—21no—
69C31×#126—24no—
70C31×#126—24no—
71C31×#124—24no—
72C31×#124—24no—
73C31×#123—24no—
74C31×#123—24no—
75C31×C22⋊Q8—21no—
76C31×C22⋊Q8—21no—
77C31×C22⋊Q8D412yescomplemented
78C31×C22⋊Q8C2312yes—
79C31×#121—24no—
80C31×#121—24no—
81C31×#121—21no—
82C31×#121—21no—
83C31×#121D412yescomplemented
84C31×#121C2312yes—
85C31×#120—24no—
86C31×#120—24no—
87C4×D4×C31—24no—
88C4×D4×C31—24no—
89C2×C4⋊C4×C31—21no—
90C2×C4⋊C4×C31—21no—
91C2×C4⋊C4×C31D411yescharacteristic, complemented
92C2×C4⋊C4×C31D411yescharacteristic, complemented
93C2×C22⋊C4×C31—21no—
94C2×C22⋊C4×C31—21no—
95C2×C22⋊C4×C31—21no—
96C2×C22⋊C4×C31—21no—
97C2×C22⋊C4×C31—21no—
98C2×C22⋊C4×C31—21no—
99C2×C22⋊C4×C31—21no—
100C2×C22⋊C4×C31—21no—
101C2×C22⋊C4×C31—21no—
102C2×C22⋊C4×C31—24no—
103C2×C22⋊C4×C31—44no—
104C2×C22⋊C4×C31D412yes—
105C2×C22⋊C4×C31C2312yes—
106C2×C42×C31—21no—
107C31×#102—24no—
108C31×#102—24no—
109C31×C22⋊C8—21no—
110C31×C22⋊C8—21no—
111C31×C22⋊C8C2312yes—
112C31×C22⋊C8C2312yes—
113C31×#95—21no—
114C31×#95C2312yes—
115C24×C31—24no—
116C24×C31—21no—
117C24×C31—21no—
118C24×C31—22no—
119C24×C31—22no—
120C24×C31—21no—
121C24×C31—22no—
122C24×C31—42no—
123C24×C31—42no—
124C24×C31—42no—
125C24×C31—42no—
126C24×C31—42no—
127C24×C31—41no—
128C24×C31—41no—
129C24×C31—42no—
130C24×C31—42no—
131C24×C31C2×D411yescharacteristic
132C24×C31C2×D412yes—
133C2×Q8×C31—21no—
134C2×Q8×C31—42no—
135C2×Q8×C31C2×D412yescomplemented
136C2×D4×C31—24no—
137C2×D4×C31—24no—
138C2×D4×C31—22no—
139C2×D4×C31—22no—
140C2×D4×C31—24no—
141C2×D4×C31—24no—
142C2×D4×C31—21no—
143C2×D4×C31—22no—
144C2×D4×C31—22no—
145C2×D4×C31—42no—
146C2×D4×C31—42no—
147C2×D4×C31—48no—
148C2×D4×C31—42no—
149C2×D4×C31—44no—
150C2×D4×C31—44no—
151C2×D4×C31—44no—
152C2×D4×C31—44no—
153C2×D4×C31—48no—
154C2×D4×C31—48no—
155C2×D4×C31—432no—
156C2×D4×C31—42no—
157C2×D4×C31—42no—
158C2×D4×C31—41no—
159C2×D4×C31—41no—
160C2×D4×C31—82no—
161C2×D4×C31—82no—
162C2×D4×C31C2×D412yescomplemented
163C22×C4×C31—24no—
164C22×C4×C31—21no—
165C22×C4×C31—21no—
166C22×C4×C31—21no—
167C22×C4×C31—21no—
168C22×C4×C31—22no—
169C22×C4×C31—24no—
170C22×C4×C31—21no—
171C22×C4×C31—42no—
172C22×C4×C31—42no—
173C22×C4×C31—42no—
174C22×C4×C31—42no—
175C22×C4×C31—82no—
176C22×C4×C31C2×D411yescharacteristic
177C22×C4×C31C2×D411yescharacteristic
178C22×C4×C31C2×D412yes—
179C22×C4×C31C2×D411yescharacteristic
180C22×C4×C31C2×D411yescharacteristic
181C22×C4×C31C2×D411yescharacteristic
182C22×C4×C31C2411yescharacteristic
183SD16×C31—48no—
184D8×C31—48no—
185C2×C8×C31—22no—
186C2×C8×C31—22no—
187C2×C8×C31—42no—
188C2×C8×C31—42no—
189C4⋊C4×C31—24no—
190C4⋊C4×C31—22no—
191C4⋊C4×C31—21no—
192C4⋊C4×C31—21no—
193C4⋊C4×C31—22no—
194C4⋊C4×C31C2×D412yescomplemented
195C4⋊C4×C31C2×D412yescomplemented
196C22⋊C4×C31—24no—
197C22⋊C4×C31—24no—
198C22⋊C4×C31—24no—
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—48no—
208C42×C31—24no—
209C2×#1600C3111yesmaximal, characteristic, direct product factor, Sylow
210C23×C31—22no—
211C23×C31—22no—
212C23×C31—24no—
213C23×C31—22no—
214C23×C31—22no—
215C23×C31—22no—
216C23×C31—22no—
217C23×C31—42no—
218C23×C31—42no—
219C23×C31—42no—
220C23×C31—48no—
221C23×C31—48no—
222C23×C31—42no—
223C23×C31—42no—
224C23×C31—44no—
225C23×C31—48no—
226C23×C31—42no—
227C23×C31—42no—
228C23×C31—42no—
229C23×C31—42no—
230C23×C31—42no—
231C23×C31—42no—
232C23×C31—42no—
233C23×C31—42no—
234C23×C31—44no—
235C23×C31—42no—
236C23×C31—42no—
237C23×C31—81no—
238C23×C31—81no—
239C23×C31—84no—
240C23×C31—84no—
241C23×C31—84no—
242C23×C31—82no—
243C23×C31—82no—
244C23×C31—82no—
245C23×C31—82no—
246C23×C31#12011yescharacteristic
247C23×C31#12011yescharacteristic
248C23×C31#13512yes—
249C23×C31AGL(1,ℤ/8)12yes—
250C23×C31C22×D411yescharacteristic
251Q8×C31—42no—
252Q8×C31—81no—
253D4×C31—24no—
254D4×C31—24no—
255D4×C31—42no—
256D4×C31—42no—
257D4×C31—42no—
258D4×C31—44no—
259D4×C31—44no—
260D4×C31—432no—
261D4×C31—42no—
262D4×C31—42no—
263D4×C31—44no—
264D4×C31—81no—
265D4×C31—84no—
266D4×C31—84no—
267C2×C4×C31—22no—
268C2×C4×C31—22no—
269C2×C4×C31—24no—
270C2×C4×C31—22no—
271C2×C4×C31—22no—
272C2×C4×C31—22no—
273C2×C4×C31—22no—
274C2×C4×C31—41no—
275C2×C4×C31—41no—
276C2×C4×C31—41no—
277C2×C4×C31—41no—
278C2×C4×C31—48no—
279C2×C4×C31—42no—
280C2×C4×C31—42no—
281C2×C4×C31—42no—
282C2×C4×C31—42no—
283C2×C4×C31—42no—
284C2×C4×C31—42no—
285C2×C4×C31—42no—
286C2×C4×C31—81no—
287C2×C4×C31—84no—
288C2×C4×C31#12011yescharacteristic
289C2×C4×C31#12011yescharacteristic
290C2×C4×C31C22×D411yescharacteristic
291C2×C4×C31C22×D411yescharacteristic
292C8×C31—42no—
293C8×C31—42no—
294C2×#538C2×C3111yescharacteristic, complemented
295C2×#450C2×C3111yescharacteristic, complemented
296C2×#447C2×C3111yescharacteristic, complemented
297C2×#392C2×C3111yescharacteristic, complemented
298#1600C2×C3118yesdirect product factor
299C2×#328C2×C3111yescharacteristic, complemented
300C2×#327C2×C3111yescharacteristic, complemented
301C2×#323C2×C3111yescharacteristic, complemented
302C22×C31—24no—
303C22×C31—24no—
304C22×C31—21no—
305C22×C31—21no—
306C22×C31—21no—
307C22×C31—21no—
308C22×C31—44no—
309C22×C31—44no—
310C22×C31—44no—
311C22×C31—42no—
312C22×C31—42no—
313C22×C31—42no—
314C22×C31—42no—
315C22×C31—44no—
316C22×C31—42no—
317C22×C31—42no—
318C22×C31—82no—
319C22×C31—82no—
320C22×C31—82no—
321C22×C31—84no—
322C22×C31—88no—
323C22×C31—84no—
324C22×C31—84no—
325C22×C31—88no—
326C22×C31—82no—
327C22×C31—82no—
328C22×C31#44912yes—
329C22×C31#44912yes—
330C22×C31#45312yes—
331C22×C31B(4,𝔽2)12yes—
332C22×C31C2×#12011yescharacteristic
333C22×C31C2×#13511yescharacteristic
334C22×C31C2×AGL(1,ℤ/8)11yescharacteristic
335C4×C31—21no—
336C4×C31—21no—
337C4×C31—21no—
338C4×C31—21no—
339C4×C31—44no—
340C4×C31—42no—
341C4×C31—42no—
342C4×C31—42no—
343C4×C31—42no—
344C23×D4—21no—
345C23×D4C22×C3111yescharacteristic
346C22×SD16—21no—
347C22×D8—21no—
348#538—22no—
349#538—22no—
350#538—22no—
351#538C22×C3114yescomplemented
352C2×#126—21no—
353C2×#124—21no—
354C2×#123—21no—
355C2×C22⋊Q8C22×C3111yescharacteristic
356C2×#121—21no—
357C2×#121C22×C3111yescharacteristic
358C2×#120—21no—
359C2×C4×D4—21no—
360C22×C22⋊C4—21no—
361C22×C22⋊C4C22×C3111yescharacteristic
362#450—22no—
363#450C22×C3114yescomplemented
364#447—22no—
365#447C22×C3114yescomplemented
366C2×#102—21no—
367C2×#102—21no—
368C2×C22⋊C8C22×C3111yescharacteristic
369C2×C22⋊C8C22×C3111yescharacteristic
370#392—22no—
371#392C22×C3114yescomplemented
372C2×#95C22×C3111yescharacteristic
373#328C22×C3114yescomplemented
374#327C22×C3114yescomplemented
375#323C22×C3114yescomplemented
376C2×C31—21no—
377C2×C31—21no—
378C2×C31—22no—
379C2×C31—82no—
380C2×C31—82no—
381C2×C31—84no—
382C2×C31#160014yesdirect product factor
383C2×C31C2×#44911yescharacteristic
384C2×C31C2×#45311yescharacteristic
385C2×C31C2×B(4,𝔽2)11yescharacteristic
386C25—21no—
387C25D4×C3111yescharacteristic
388C22×Q8D4×C3111yescharacteristic, complemented
389C22×D4—21no—
390C22×D4—21no—
391C22×D4—21no—
392C22×D4—24no—
393C22×D4—21no—
394C22×D4—21no—
395C22×D4—21no—
396C22×D4—21no—
397C22×D4—21no—
398C22×D4—44no—
399C22×D4—44no—
400C22×D4—44no—
401C22×D4—44no—
402C22×D4D4×C3111yescharacteristic, complemented
403C22×D4C23×C3112yes—
404C23×C4—21no—
405C23×C4—21no—
406C23×C4D4×C3111yescharacteristic
407C23×C4C23×C3111yescharacteristic
408C2×SD16—24no—
409C2×SD16—44no—
410C2×D8—24no—
411C2×D8—44no—
412C22×C8—21no—
413C22×C8—21no—
414#126—24no—
415#126—24no—
416#124—24no—
417#124—24no—
418#123—24no—
419#123—24no—
420C22⋊Q8—21no—
421C22⋊Q8—21no—
422C22⋊Q8D4×C3112yescomplemented
423C22⋊Q8C23×C3112yes—
424#121—24no—
425#121—24no—
426#121—21no—
427#121—21no—
428#121D4×C3112yescomplemented
429#121C23×C3112yes—
430#120—24no—
431#120—24no—
432C4×D4—24no—
433C4×D4—24no—
434C2×C4⋊C4—21no—
435C2×C4⋊C4—21no—
436C2×C4⋊C4D4×C3111yescharacteristic, complemented
437C2×C4⋊C4D4×C3111yescharacteristic, complemented
438C2×C22⋊C4—21no—
439C2×C22⋊C4—21no—
440C2×C22⋊C4—21no—
441C2×C22⋊C4—21no—
442C2×C22⋊C4—21no—
443C2×C22⋊C4—21no—
444C2×C22⋊C4—21no—
445C2×C22⋊C4—21no—
446C2×C22⋊C4—21no—
447C2×C22⋊C4—24no—
448C2×C22⋊C4—44no—
449C2×C22⋊C4D4×C3112yes—
450C2×C22⋊C4C23×C3112yes—
451C2×C42—21no—
452#102—24no—
453#102—24no—
454C22⋊C8—21no—
455C22⋊C8—21no—
456C22⋊C8C23×C3112yes—
457C22⋊C8C23×C3112yes—
458#95—21no—
459#95C23×C3112yes—
460C31C2×#160011yescharacteristic, direct product factor, Sylow
461C24—24no—
462C24—21no—
463C24—21no—
464C24—22no—
465C24—22no—
466C24—21no—
467C24—22no—
468C24—42no—
469C24—42no—
470C24—42no—
471C24—42no—
472C24—42no—
473C24—41no—
474C24—41no—
475C24—42no—
476C24—42no—
477C24C2×D4×C3111yescharacteristic
478C24C2×D4×C3112yes—
479C2×Q8—21no—
480C2×Q8—42no—
481C2×Q8C2×D4×C3112yescomplemented
482C2×D4—24no—
483C2×D4—24no—
484C2×D4—22no—
485C2×D4—22no—
486C2×D4—24no—
487C2×D4—24no—
488C2×D4—21no—
489C2×D4—22no—
490C2×D4—22no—
491C2×D4—42no—
492C2×D4—42no—
493C2×D4—48no—
494C2×D4—42no—
495C2×D4—44no—
496C2×D4—44no—
497C2×D4—44no—
498C2×D4—44no—
499C2×D4—48no—
500C2×D4—48no—
501C2×D4—432no—
502C2×D4—42no—
503C2×D4—42no—
504C2×D4—41no—
505C2×D4—41no—
506C2×D4—82no—
507C2×D4—82no—
508C2×D4C2×D4×C3112yescomplemented
509C22×C4—24no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—22no—
515C22×C4—24no—
516C22×C4—21no—
517C22×C4—42no—
518C22×C4—42no—
519C22×C4—42no—
520C22×C4—42no—
521C22×C4—82no—
522C22×C4C2×D4×C3111yescharacteristic
523C22×C4C2×D4×C3111yescharacteristic
524C22×C4C2×D4×C3112yes—
525C22×C4C2×D4×C3111yescharacteristic
526C22×C4C2×D4×C3111yescharacteristic
527C22×C4C2×D4×C3111yescharacteristic
528C22×C4C24×C3111yescharacteristic
529SD16—48no—
530D8—48no—
531C2×C8—22no—
532C2×C8—22no—
533C2×C8—42no—
534C2×C8—42no—
535C4⋊C4—24no—
536C4⋊C4—22no—
537C4⋊C4—21no—
538C4⋊C4—21no—
539C4⋊C4—22no—
540C4⋊C4C2×D4×C3112yescomplemented
541C4⋊C4C2×D4×C3112yescomplemented
542C22⋊C4—24no—
543C22⋊C4—24no—
544C22⋊C4—24no—
545C22⋊C4—22no—
546C22⋊C4—22no—
547C22⋊C4—22no—
548C22⋊C4—22no—
549C22⋊C4—22no—
550C22⋊C4—22no—
551C22⋊C4—22no—
552C22⋊C4—22no—
553C22⋊C4—48no—
554C42—24no—
555C23—22no—
556C23—22no—
557C23—24no—
558C23—22no—
559C23—22no—
560C23—22no—
561C23—22no—
562C23—42no—
563C23—42no—
564C23—42no—
565C23—48no—
566C23—48no—
567C23—42no—
568C23—42no—
569C23—44no—
570C23—48no—
571C23—42no—
572C23—42no—
573C23—42no—
574C23—42no—
575C23—42no—
576C23—44no—
577C23—42no—
578C23—42no—
579C23—42no—
580C23—42no—
581C23—42no—
582C23—81no—
583C23—81no—
584C23—84no—
585C23—84no—
586C23—84no—
587C23—82no—
588C23—82no—
589C23—82no—
590C23—82no—
591C23C31×#12011yescharacteristic
592C23C31×#12011yescharacteristic
593C23C31×#13512yes—
594C23C31×AGL(1,ℤ/8)12yes—
595C23C22×D4×C3111yescharacteristic
596Q8—42no—
597Q8—81no—
598D4—24no—
599D4—24no—
600D4—42no—
601D4—42no—
602D4—42no—
603D4—44no—
604D4—44no—
605D4—432no—
606D4—44no—
607D4—42no—
608D4—42no—
609D4—81no—
610D4—84no—
611D4—84no—
612C2×C4—22no—
613C2×C4—22no—
614C2×C4—24no—
615C2×C4—22no—
616C2×C4—22no—
617C2×C4—22no—
618C2×C4—22no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—48no—
624C2×C4—42no—
625C2×C4—42no—
626C2×C4—42no—
627C2×C4—42no—
628C2×C4—42no—
629C2×C4—42no—
630C2×C4—42no—
631C2×C4—81no—
632C2×C4—84no—
633C2×C4C31×#12011yescharacteristic
634C2×C4C31×#12011yescharacteristic
635C2×C4C22×D4×C3111yescharacteristic
636C2×C4C22×D4×C3111yescharacteristic
637C8—42no—
638C8—42no—
639C22—24no—
640C22—24no—
641C22—21no—
642C22—21no—
643C22—21no—
644C22—21no—
645C22—44no—
646C22—44no—
647C22—44no—
648C22—42no—
649C22—42no—
650C22—42no—
651C22—42no—
652C22—44no—
653C22—42no—
654C22—42no—
655C22—82no—
656C22—82no—
657C22—82no—
658C22—84no—
659C22—88no—
660C22—84no—
661C22—88no—
662C22—84no—
663C22—82no—
664C22—82no—
665C22C31×#44912yes—
666C22C31×#44912yes—
667C22C31×#45312yes—
668C22C31×B(4,𝔽2)12yes—
669C22C2×C31×#12011yescharacteristic
670C22C2×C31×#13511yescharacteristic
671C22C2×C31×AGL(1,ℤ/8)11yescharacteristic
672C4—21no—
673C4—21no—
674C4—21no—
675C4—21no—
676C4—44no—
677C4—42no—
678C4—42no—
679C4—42no—
680C4—42no—
681C2—21no—
682C2—21no—
683C2—22no—
684C2—82no—
685C2—84no—
686C2—82no—
687C2C31×#160014yesdirect product factor
688C2C2×C31×#44911yescharacteristic
689C2C2×C31×#45311yescharacteristic
690C2C2×C31×B(4,𝔽2)11yescharacteristic
subgroupG/H
center, socleC23×C31#120
commutator, Frattini, cosocleC22×C4C24×C31
LCSG ▷ C22×C4 ▷ C22 ▷ C1
UCSC1 ◁ C23×C31 ◁ C23×C4×C31 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×C31×#538C2semidirect
2. C2×C31×#450C2semidirect
3. C2×C31×#447C2semidirect
4. C2×C31×#392C2semidirect
5. C31×#1600C2direct (N × H)
6. C2×C31×#328C2semidirect
7. C2×C31×#327C2semidirect
8. C2×C31×#323C2semidirect
16. C31×#538C22semidirect
28. C31×#450C22semidirect
30. C31×#447C22semidirect
36. C31×#392C22semidirect
38. C31×#328C22semidirect
39. C31×#327C22semidirect
40. C31×#323C22semidirect
43. C22×Q8×C31D4semidirect
57. C22×D4×C31D4semidirect
77. C31×C22⋊Q8D4semidirect
83. C31×#121D4semidirect
91. C2×C4⋊C4×C31D4semidirect
92. C2×C4⋊C4×C31D4semidirect
135. C2×Q8×C31C2×D4semidirect
162. C2×D4×C31C2×D4semidirect
194. C4⋊C4×C31C2×D4semidirect
195. C4⋊C4×C31C2×D4semidirect
209. C2×#1600C31direct (N × H)
294. C2×#538C2×C31semidirect
295. C2×#450C2×C31semidirect
296. C2×#447C2×C31semidirect
297. C2×#392C2×C31semidirect
298. #1600C2×C31direct (N × H)
299. C2×#328C2×C31semidirect
300. C2×#327C2×C31semidirect
301. C2×#323C2×C31semidirect
351. #538C22×C31semidirect
363. #450C22×C31semidirect
365. #447C22×C31semidirect
371. #392C22×C31semidirect
373. #328C22×C31semidirect
374. #327C22×C31semidirect
375. #323C22×C31semidirect
382. C2×C31#1600direct (N × H)
388. C22×Q8D4×C31semidirect
402. C22×D4D4×C31semidirect
422. C22⋊Q8D4×C31semidirect
428. #121D4×C31semidirect
436. C2×C4⋊C4D4×C31semidirect
437. C2×C4⋊C4D4×C31semidirect
460. C31C2×#1600direct (N × H)
481. C2×Q8C2×D4×C31semidirect
508. C2×D4C2×D4×C31semidirect
540. C4⋊C4C2×D4×C31semidirect
541. C4⋊C4C2×D4×C31semidirect
687. C2C31×#1600direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C31×#5382
C2×C31×#4502
C2×C31×#4472
C2×C31×#3922
C31×#16002
C2×C31×#3282
C2×C31×#3272
C2×C31×#3232
C2×#160031