Finite Group Databasebeta

← C31×#24260 #21481019

Subgroups — C31×#24260 #21481019

Order 7936.

1918 conjugacy classes of subgroups.

The subgroup lattice has 732 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C31×#3496C211yesmaximal, characteristic, complemented
2C2×C31×B(4,𝔽2)C212yesmaximal, complemented
3C31×#2847C212yesmaximal, complemented
4C4×C31×#120C211yesmaximal, characteristic, complemented
5C31×#2044C212yesmaximal, complemented
6C31×#2021C212yesmaximal, complemented
7C31×#1964C212yesmaximal, complemented
8C31×#1799C211yesmaximal, characteristic, complemented
9C31×#1790C212yesmaximal, complemented
10C2×C31×H(5,𝔽2)C2212yes—
11C24×C4×C31C2211yescharacteristic, complemented
12C31×#547—22no—
13C31×#546—24no—
14D42×C31—22no—
15C31×#537—21no—
16C31×#534—21no—
17C31×#534C2212yes—
18C31×#532—21no—
19C2×C31×#121—21no—
20C2×C31×#121—22no—
21C2×C31×#121C2212yes—
22C2×C31×#120C2211yescharacteristic
23C2×C31×#120C2214yescomplemented
24C2×C4×D4×C31—21no—
25C2×C4×D4×C31C2211yescharacteristic
26C31×B(4,𝔽2)—28no—
27C2×C31×#99C2212yes—
28C2×C31×#99C2214yescomplemented
29C2×C31×#99C2214yescomplemented
30C31×#386—24no—
31C31×#386—21no—
32C31×#386C2211yescharacteristic
33C31×#386C2214yescomplemented
34C31×#385—21no—
35C31×#385C2211yescharacteristic, complemented
36C31×#380—22no—
37C31×#380C2212yescomplemented
38C31×#379C2211yescharacteristic, complemented
39C4×C22⋊C4×C31—21no—
40C4×C22⋊C4×C31C2211yescharacteristic, complemented
41C31×#342C2212yescomplemented
42C25×C31C2311yescharacteristic
43C31×H(5,𝔽2)—24no—
44C31×H(5,𝔽2)—24no—
45C31×H(5,𝔽2)—44no—
46C2×#41×C31—22no—
47C2×#41×C31—24no—
48C22×D4×C31—21no—
49C22×D4×C31—22no—
50C22×D4×C31—24no—
51C22×D4×C31—21no—
52C22×D4×C31—24no—
53C22×D4×C31D412yescomplemented
54C22×D4×C31C2314yes—
55C22×D4×C31C2311yescharacteristic
56C23×C4×C31—21no—
57C23×C4×C31—22no—
58C23×C4×C31—21no—
59C23×C4×C31—22no—
60C23×C4×C31—44no—
61C23×C4×C31D411yescharacteristic, complemented
62C23×C4×C31C2311yescharacteristic
63C23×C4×C31C2311yescharacteristic
64C31×C4⋊Q8—21no—
65C31×#127—21no—
66C31×#124—22no—
67C31×#123—24no—
68C31×#123—24no—
69C31×C22⋊Q8—24no—
70C31×#121—22no—
71C31×#121—22no—
72C31×#121—24no—
73C31×#121—22no—
74C31×#121—22no—
75C31×#121—22no—
76C31×#121—22no—
77C31×#121—22no—
78C31×#121—22no—
79C31×#121—48no—
80C31×#120—24no—
81C31×#120—24no—
82C31×#120—22no—
83C31×#120—28no—
84C31×#120—44no—
85C31×#120D414yescomplemented
86C4×D4×C31—22no—
87C4×D4×C31—22no—
88C4×D4×C31—22no—
89C4×D4×C31—22no—
90C4×D4×C31—44no—
91C2×C4⋊C4×C31—21no—
92C2×C4⋊C4×C31—21no—
93C2×C4⋊C4×C31—22no—
94C2×C4⋊C4×C31D411yescharacteristic, complemented
95C2×C4⋊C4×C31D412yescomplemented
96C2×C22⋊C4×C31—22no—
97C2×C22⋊C4×C31—21no—
98C2×C22⋊C4×C31—21no—
99C2×C22⋊C4×C31—24no—
100C2×C22⋊C4×C31—21no—
101C2×C22⋊C4×C31—24no—
102C2×C22⋊C4×C31—21no—
103C2×C22⋊C4×C31D411yescharacteristic, complemented
104C2×C22⋊C4×C31D414yescomplemented
105C2×C22⋊C4×C31C2314yes—
106C2×C22⋊C4×C31C2311yescharacteristic
107C2×C22⋊C4×C31C2311yescharacteristic
108C2×C22⋊C4×C31C2311yescharacteristic
109C2×C42×C31—21no—
110C2×C42×C31D411yescharacteristic, complemented
111C31×#99—24no—
112C31×#99—28no—
113C31×#99—44no—
114C31×#95—21no—
115C31×#95—21no—
116C31×#95—21no—
117C31×#95—24no—
118C31×#95—22no—
119C24×C31—21no—
120C24×C31—22no—
121C24×C31—22no—
122C24×C31—21no—
123C24×C31—22no—
124C24×C31—42no—
125C24×C31—42no—
126C24×C31C2×D414yes—
127C24×C31C2×D411yescharacteristic
128C24×C31C2×D412yescomplemented
129C24×C31C2411yescharacteristic
130#41×C31—48no—
131#41×C31—48no—
132#41×C31—44no—
133#41×C31—44no—
134C2×Q8×C31—22no—
135C2×D4×C31—22no—
136C2×D4×C31—22no—
137C2×D4×C31—24no—
138C2×D4×C31—22no—
139C2×D4×C31—24no—
140C2×D4×C31—24no—
141C2×D4×C31—24no—
142C2×D4×C31—24no—
143C2×D4×C31—24no—
144C2×D4×C31—24no—
145C2×D4×C31—24no—
146C2×D4×C31—22no—
147C2×D4×C31—22no—
148C2×D4×C31—22no—
149C2×D4×C31—22no—
150C2×D4×C31—44no—
151C2×D4×C31—48no—
152C2×D4×C31—48no—
153C2×D4×C31—42no—
154C2×D4×C31—42no—
155C2×D4×C31—44no—
156C2×D4×C31—44no—
157C2×D4×C31—48no—
158C2×D4×C31—48no—
159C2×D4×C31—48no—
160C2×D4×C31—82no—
161C2×D4×C31C2×D412yes—
162C2×D4×C31#4112yes—
163C22×C4×C31—22no—
164C22×C4×C31—24no—
165C22×C4×C31—24no—
166C22×C4×C31—28no—
167C22×C4×C31—21no—
168C22×C4×C31—22no—
169C22×C4×C31—21no—
170C22×C4×C31—21no—
171C22×C4×C31—21no—
172C22×C4×C31—21no—
173C22×C4×C31—24no—
174C22×C4×C31—42no—
175C22×C4×C31—42no—
176C22×C4×C31—42no—
177C22×C4×C31—44no—
178C22×C4×C31—44no—
179C22×C4×C31—42no—
180C22×C4×C31—42no—
181C22×C4×C31—42no—
182C22×C4×C31—44no—
183C22×C4×C31—41no—
184C22×C4×C31—42no—
185C22×C4×C31—41no—
186C22×C4×C31C2×D414yes—
187C22×C4×C31C2×D411yescharacteristic
188C22×C4×C31C2×D412yes—
189C22×C4×C31C2×D411yescharacteristic
190C22×C4×C31C2×D411yescharacteristic
191C22×C4×C31C2×D411yescharacteristic
192C22×C4×C31C2×D412yes—
193C22×C4×C31C2×D411yescharacteristic
194C4⋊C4×C31—22no—
195C4⋊C4×C31—22no—
196C4⋊C4×C31—22no—
197C4⋊C4×C31—22no—
198C4⋊C4×C31—22no—
199C4⋊C4×C31—42no—
200C4⋊C4×C31—44no—
201C22⋊C4×C31—24no—
202C22⋊C4×C31—24no—
203C22⋊C4×C31—22no—
204C22⋊C4×C31—21no—
205C22⋊C4×C31—24no—
206C22⋊C4×C31—22no—
207C22⋊C4×C31—24no—
208C22⋊C4×C31—24no—
209C22⋊C4×C31—24no—
210C22⋊C4×C31—22no—
211C22⋊C4×C31—24no—
212C22⋊C4×C31—48no—
213C22⋊C4×C31—42no—
214C22⋊C4×C31—48no—
215C22⋊C4×C31—42no—
216C22⋊C4×C31—42no—
217C22⋊C4×C31C2×D412yescomplemented
218C42×C31—21no—
219C42×C31—21no—
220C42×C31—42no—
221#24260C3111yesmaximal, characteristic, direct product factor, Sylow
222C23×C31—22no—
223C23×C31—22no—
224C23×C31—24no—
225C23×C31—24no—
226C23×C31—21no—
227C23×C31—22no—
228C23×C31—24no—
229C23×C31—21no—
230C23×C31—24no—
231C23×C31—24no—
232C23×C31—24no—
233C23×C31—41no—
234C23×C31—44no—
235C23×C31—41no—
236C23×C31—41no—
237C23×C31—42no—
238C23×C31—41no—
239C23×C31—42no—
240C23×C31—44no—
241C23×C31—48no—
242C23×C31—41no—
243C23×C31—41no—
244C23×C31—44no—
245C23×C31—44no—
246C23×C31—44no—
247C23×C31—41no—
248C23×C31—41no—
249C23×C31—42no—
250C23×C31—82no—
251C23×C31—82no—
252C23×C31#12112yescomplemented
253C23×C31C22×D411yescharacteristic
254C23×C31C22×D412yes—
255C23×C31C22×D411yescharacteristic
256C23×C31C2×#4111yescharacteristic
257C23×C31H(5,𝔽2)12yes—
258Q8×C31—44no—
259D4×C31—24no—
260D4×C31—24no—
261D4×C31—44no—
262D4×C31—48no—
263D4×C31—48no—
264D4×C31—44no—
265D4×C31—44no—
266D4×C31—44no—
267D4×C31—44no—
268D4×C31—44no—
269D4×C31—82no—
270D4×C31—82no—
271D4×C31—82no—
272D4×C31—816no—
273C2×C4×C31—21no—
274C2×C4×C31—21no—
275C2×C4×C31—22no—
276C2×C4×C31—24no—
277C2×C4×C31—24no—
278C2×C4×C31—22no—
279C2×C4×C31—21no—
280C2×C4×C31—21no—
281C2×C4×C31—24no—
282C2×C4×C31—22no—
283C2×C4×C31—24no—
284C2×C4×C31—24no—
285C2×C4×C31—42no—
286C2×C4×C31—41no—
287C2×C4×C31—44no—
288C2×C4×C31—48no—
289C2×C4×C31—48no—
290C2×C4×C31—41no—
291C2×C4×C31—41no—
292C2×C4×C31—42no—
293C2×C4×C31—41no—
294C2×C4×C31—44no—
295C2×C4×C31—41no—
296C2×C4×C31—44no—
297C2×C4×C31—42no—
298C2×C4×C31—41no—
299C2×C4×C31—41no—
300C2×C4×C31—41no—
301C2×C4×C31—44no—
302C2×C4×C31—41no—
303C2×C4×C31—44no—
304C2×C4×C31—41no—
305C2×C4×C31—44no—
306C2×C4×C31—81no—
307C2×C4×C31#12011yescharacteristic
308C2×C4×C31#12012yes—
309C2×C4×C31#12011yescharacteristic
310C2×C4×C31#12112yescomplemented
311#3496C2×C3111yescharacteristic, complemented
312C2×B(4,𝔽2)C2×C3112yescomplemented
313#2847C2×C3112yescomplemented
314C4×#120C2×C3111yescharacteristic, complemented
315#2044C2×C3112yescomplemented
316#2021C2×C3112yescomplemented
317#1964C2×C3112yescomplemented
318#1799C2×C3111yescharacteristic, complemented
319#1790C2×C3112yescomplemented
320C22×C31—21no—
321C22×C31—22no—
322C22×C31—21no—
323C22×C31—22no—
324C22×C31—24no—
325C22×C31—28no—
326C22×C31—22no—
327C22×C31—41no—
328C22×C31—41no—
329C22×C31—42no—
330C22×C31—42no—
331C22×C31—42no—
332C22×C31—44no—
333C22×C31—42no—
334C22×C31—42no—
335C22×C31—44no—
336C22×C31—44no—
337C22×C31—42no—
338C22×C31—42no—
339C22×C31—41no—
340C22×C31—42no—
341C22×C31—41no—
342C22×C31—44no—
343C22×C31—44no—
344C22×C31—44no—
345C22×C31—81no—
346C22×C31—84no—
347C22×C31—84no—
348C22×C31—164no—
349C22×C31C2×#12011yescharacteristic
350C22×C31C2×#12111yescharacteristic
351C22×C31#53511yescharacteristic
352C22×C31D4212yes—
353C22×C31#54612yes—
354C4×C31—22no—
355C4×C31—21no—
356C4×C31—22no—
357C4×C31—42no—
358C4×C31—44no—
359C4×C31—42no—
360C4×C31—41no—
361C4×C31—41no—
362C4×C31—81no—
363C4×C31—84no—
364C4×C31B(4,𝔽2)12yescomplemented
365C2×H(5,𝔽2)C22×C3112yes—
366C24×C4C22×C3111yescharacteristic, complemented
367#547—22no—
368#546—24no—
369D42—22no—
370#537—21no—
371#534—21no—
372#534C22×C3112yes—
373#532—21no—
374C2×#121—21no—
375C2×#121—22no—
376C2×#121C22×C3112yes—
377C2×#120C22×C3111yescharacteristic
378C2×#120C22×C3114yescomplemented
379C2×C4×D4—21no—
380C2×C4×D4C22×C3111yescharacteristic
381B(4,𝔽2)—28no—
382C2×#99C22×C3112yes—
383C2×#99C22×C3114yescomplemented
384C2×#99C22×C3114yescomplemented
385#386—24no—
386#386—21no—
387#386C22×C3111yescharacteristic
388#386C22×C3114yescomplemented
389#385—21no—
390#385C22×C3111yescharacteristic, complemented
391#380—22no—
392#380C22×C3112yescomplemented
393#379C22×C3111yescharacteristic, complemented
394C4×C22⋊C4—21no—
395C4×C22⋊C4C22×C3111yescharacteristic, complemented
396#342C22×C3112yescomplemented
397C2×C31—21no—
398C2×C31—22no—
399C2×C31—21no—
400C2×C31—22no—
401C2×C31—44no—
402C2×C31—42no—
403C2×C31—84no—
404C2×C31#240811yescharacteristic
405C2×C31C2×B(4,𝔽2)11yescharacteristic
406C2×C31#302511yescharacteristic
407C25C23×C3111yescharacteristic
408H(5,𝔽2)—24no—
409H(5,𝔽2)—24no—
410H(5,𝔽2)—44no—
411C2×#41—22no—
412C2×#41—24no—
413C22×D4—21no—
414C22×D4—22no—
415C22×D4—24no—
416C22×D4—21no—
417C22×D4—24no—
418C22×D4D4×C3112yescomplemented
419C22×D4C23×C3114yes—
420C22×D4C23×C3111yescharacteristic
421C23×C4—21no—
422C23×C4—22no—
423C23×C4—21no—
424C23×C4—22no—
425C23×C4—44no—
426C23×C4D4×C3111yescharacteristic, complemented
427C23×C4C23×C3111yescharacteristic
428C23×C4C23×C3111yescharacteristic
429C4⋊Q8—21no—
430#127—21no—
431#124—22no—
432#123—24no—
433#123—24no—
434C22⋊Q8—24no—
435#121—22no—
436#121—22no—
437#121—24no—
438#121—22no—
439#121—22no—
440#121—22no—
441#121—22no—
442#121—22no—
443#121—22no—
444#121—48no—
445#120—24no—
446#120—24no—
447#120—22no—
448#120—28no—
449#120—44no—
450#120D4×C3114yescomplemented
451C4×D4—22no—
452C4×D4—22no—
453C4×D4—22no—
454C4×D4—22no—
455C4×D4—44no—
456C2×C4⋊C4—21no—
457C2×C4⋊C4—21no—
458C2×C4⋊C4—22no—
459C2×C4⋊C4D4×C3111yescharacteristic, complemented
460C2×C4⋊C4D4×C3112yescomplemented
461C2×C22⋊C4—22no—
462C2×C22⋊C4—21no—
463C2×C22⋊C4—21no—
464C2×C22⋊C4—24no—
465C2×C22⋊C4—21no—
466C2×C22⋊C4—24no—
467C2×C22⋊C4—21no—
468C2×C22⋊C4D4×C3111yescharacteristic, complemented
469C2×C22⋊C4D4×C3114yescomplemented
470C2×C22⋊C4C23×C3114yes—
471C2×C22⋊C4C23×C3111yescharacteristic
472C2×C22⋊C4C23×C3111yescharacteristic
473C2×C22⋊C4C23×C3111yescharacteristic
474C2×C42—21no—
475C2×C42D4×C3111yescharacteristic, complemented
476#99—24no—
477#99—28no—
478#99—44no—
479#95—21no—
480#95—21no—
481#95—21no—
482#95—24no—
483#95—22no—
484C31#2426011yescharacteristic, direct product factor, Sylow
485C24—21no—
486C24—22no—
487C24—22no—
488C24—21no—
489C24—22no—
490C24—42no—
491C24—42no—
492C24C2×D4×C3114yes—
493C24C2×D4×C3111yescharacteristic
494C24C2×D4×C3112yescomplemented
495C24C24×C3111yescharacteristic
496#41—48no—
497#41—48no—
498#41—44no—
499#41—44no—
500C2×Q8—22no—
501C2×D4—22no—
502C2×D4—22no—
503C2×D4—24no—
504C2×D4—22no—
505C2×D4—24no—
506C2×D4—24no—
507C2×D4—24no—
508C2×D4—24no—
509C2×D4—24no—
510C2×D4—24no—
511C2×D4—24no—
512C2×D4—22no—
513C2×D4—22no—
514C2×D4—22no—
515C2×D4—22no—
516C2×D4—44no—
517C2×D4—48no—
518C2×D4—48no—
519C2×D4—42no—
520C2×D4—42no—
521C2×D4—44no—
522C2×D4—44no—
523C2×D4—48no—
524C2×D4—48no—
525C2×D4—48no—
526C2×D4—82no—
527C2×D4C2×D4×C3112yes—
528C2×D4#41×C3112yes—
529C22×C4—22no—
530C22×C4—24no—
531C22×C4—24no—
532C22×C4—28no—
533C22×C4—21no—
534C22×C4—22no—
535C22×C4—21no—
536C22×C4—21no—
537C22×C4—21no—
538C22×C4—21no—
539C22×C4—24no—
540C22×C4—42no—
541C22×C4—42no—
542C22×C4—42no—
543C22×C4—44no—
544C22×C4—44no—
545C22×C4—42no—
546C22×C4—42no—
547C22×C4—42no—
548C22×C4—44no—
549C22×C4—41no—
550C22×C4—42no—
551C22×C4—41no—
552C22×C4C2×D4×C3114yes—
553C22×C4C2×D4×C3111yescharacteristic
554C22×C4C2×D4×C3112yes—
555C22×C4C2×D4×C3111yescharacteristic
556C22×C4C2×D4×C3111yescharacteristic
557C22×C4C2×D4×C3111yescharacteristic
558C22×C4C2×D4×C3112yes—
559C22×C4C2×D4×C3111yescharacteristic
560C4⋊C4—22no—
561C4⋊C4—22no—
562C4⋊C4—22no—
563C4⋊C4—22no—
564C4⋊C4—22no—
565C4⋊C4—42no—
566C4⋊C4—44no—
567C22⋊C4—24no—
568C22⋊C4—24no—
569C22⋊C4—22no—
570C22⋊C4—21no—
571C22⋊C4—24no—
572C22⋊C4—22no—
573C22⋊C4—24no—
574C22⋊C4—24no—
575C22⋊C4—24no—
576C22⋊C4—22no—
577C22⋊C4—24no—
578C22⋊C4—48no—
579C22⋊C4—42no—
580C22⋊C4—48no—
581C22⋊C4—42no—
582C22⋊C4—42no—
583C22⋊C4C2×D4×C3112yescomplemented
584C42—21no—
585C42—21no—
586C42—42no—
587C23—22no—
588C23—22no—
589C23—24no—
590C23—24no—
591C23—21no—
592C23—22no—
593C23—24no—
594C23—21no—
595C23—24no—
596C23—24no—
597C23—24no—
598C23—41no—
599C23—44no—
600C23—41no—
601C23—41no—
602C23—42no—
603C23—41no—
604C23—42no—
605C23—44no—
606C23—48no—
607C23—41no—
608C23—41no—
609C23—44no—
610C23—44no—
611C23—44no—
612C23—41no—
613C23—41no—
614C23—42no—
615C23—82no—
616C23—82no—
617C23C31×#12112yescomplemented
618C23C22×D4×C3111yescharacteristic
619C23C22×D4×C3112yes—
620C23C22×D4×C3111yescharacteristic
621C23C2×#41×C3111yescharacteristic
622C23C31×H(5,𝔽2)12yes—
623Q8—44no—
624D4—24no—
625D4—24no—
626D4—44no—
627D4—48no—
628D4—48no—
629D4—44no—
630D4—44no—
631D4—44no—
632D4—44no—
633D4—44no—
634D4—82no—
635D4—82no—
636D4—82no—
637D4—816no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—22no—
641C2×C4—24no—
642C2×C4—24no—
643C2×C4—22no—
644C2×C4—21no—
645C2×C4—21no—
646C2×C4—24no—
647C2×C4—22no—
648C2×C4—24no—
649C2×C4—24no—
650C2×C4—42no—
651C2×C4—41no—
652C2×C4—44no—
653C2×C4—48no—
654C2×C4—48no—
655C2×C4—41no—
656C2×C4—41no—
657C2×C4—42no—
658C2×C4—41no—
659C2×C4—44no—
660C2×C4—41no—
661C2×C4—44no—
662C2×C4—42no—
663C2×C4—41no—
664C2×C4—41no—
665C2×C4—41no—
666C2×C4—44no—
667C2×C4—41no—
668C2×C4—44no—
669C2×C4—41no—
670C2×C4—44no—
671C2×C4—81no—
672C2×C4C31×#12011yescharacteristic
673C2×C4C31×#12012yes—
674C2×C4C31×#12011yescharacteristic
675C2×C4C31×#12112yescomplemented
676C22—21no—
677C22—22no—
678C22—21no—
679C22—22no—
680C22—24no—
681C22—28no—
682C22—22no—
683C22—41no—
684C22—41no—
685C22—42no—
686C22—42no—
687C22—42no—
688C22—44no—
689C22—42no—
690C22—42no—
691C22—44no—
692C22—44no—
693C22—42no—
694C22—42no—
695C22—41no—
696C22—42no—
697C22—41no—
698C22—44no—
699C22—44no—
700C22—44no—
701C22—81no—
702C22—84no—
703C22—84no—
704C22—164no—
705C22C2×C31×#12011yescharacteristic
706C22C2×C31×#12111yescharacteristic
707C22C31×#53511yescharacteristic
708C22D42×C3112yes—
709C22C31×#54612yes—
710C4—22no—
711C4—21no—
712C4—22no—
713C4—42no—
714C4—44no—
715C4—42no—
716C4—41no—
717C4—41no—
718C4—84no—
719C4—81no—
720C4C31×B(4,𝔽2)12yescomplemented
721C2—21no—
722C2—22no—
723C2—21no—
724C2—22no—
725C2—44no—
726C2—42no—
727C2—84no—
728C2C31×#240811yescharacteristic
729C2C2×C31×B(4,𝔽2)11yescharacteristic
730C2C31×#302511yescharacteristic
subgroupG/H
center, socleC22×C31C2×#120
commutator, Frattini, cosocleC24C24×C31
LCSG ▷ C24 ▷ C2 ▷ C1
UCSC1 ◁ C22×C31 ◁ C23×C4×C31 ◁ G

Complements

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

NH ≅ G/Ntype
1. C31×#3496C2semidirect
2. C2×C31×B(4,𝔽2)C2semidirect
3. C31×#2847C2semidirect
4. C4×C31×#120C2semidirect
5. C31×#2044C2semidirect
6. C31×#2021C2semidirect
7. C31×#1964C2semidirect
8. C31×#1799C2semidirect
9. C31×#1790C2semidirect
11. C24×C4×C31C22semidirect
23. C2×C31×#120C22semidirect
28. C2×C31×#99C22semidirect
29. C2×C31×#99C22semidirect
33. C31×#386C22semidirect
35. C31×#385C22semidirect
37. C31×#380C22semidirect
38. C31×#379C22semidirect
40. C4×C22⋊C4×C31C22semidirect
41. C31×#342C22semidirect
53. C22×D4×C31D4semidirect
61. C23×C4×C31D4semidirect
85. C31×#120D4semidirect
94. C2×C4⋊C4×C31D4semidirect
95. C2×C4⋊C4×C31D4semidirect
103. C2×C22⋊C4×C31D4semidirect
104. C2×C22⋊C4×C31D4semidirect
110. C2×C42×C31D4semidirect
128. C24×C31C2×D4semidirect
217. C22⋊C4×C31C2×D4semidirect
221. #24260C31direct (N × H)
252. C23×C31#121semidirect
310. C2×C4×C31#121semidirect
311. #3496C2×C31semidirect
312. C2×B(4,𝔽2)C2×C31semidirect
313. #2847C2×C31semidirect
314. C4×#120C2×C31semidirect
315. #2044C2×C31semidirect
316. #2021C2×C31semidirect
317. #1964C2×C31semidirect
318. #1799C2×C31semidirect
319. #1790C2×C31semidirect
364. C4×C31B(4,𝔽2)semidirect
366. C24×C4C22×C31semidirect
378. C2×#120C22×C31semidirect
383. C2×#99C22×C31semidirect
384. C2×#99C22×C31semidirect
388. #386C22×C31semidirect
390. #385C22×C31semidirect
392. #380C22×C31semidirect
393. #379C22×C31semidirect
395. C4×C22⋊C4C22×C31semidirect
396. #342C22×C31semidirect
418. C22×D4D4×C31semidirect
426. C23×C4D4×C31semidirect
450. #120D4×C31semidirect
459. C2×C4⋊C4D4×C31semidirect
460. C2×C4⋊C4D4×C31semidirect
468. C2×C22⋊C4D4×C31semidirect
469. C2×C22⋊C4D4×C31semidirect
475. C2×C42D4×C31semidirect
484. C31#24260direct (N × H)
494. C24C2×D4×C31semidirect
583. C22⋊C4C2×D4×C31semidirect
617. C23C31×#121semidirect
675. C2×C4C31×#121semidirect
720. C4C31×B(4,𝔽2)semidirect

Maximal subgroups

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

subgroupindex
C31×#34962
C2×C31×B(4,𝔽2)2
C31×#28472
C4×C31×#1202
C31×#20442
C31×#20212
C31×#19642
C31×#17992
C31×#17902
#2426031