Finite Group Databasebeta

← C31×#21452 #21478211

Subgroups — C31×#21452 #21478211

Order 7936.

1952 conjugacy classes of subgroups.

The subgroup lattice has 658 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C4×D4×C31C211yesmaximal, characteristic, complemented
2C2×C31×#447C211yesmaximal, characteristic
3C2×C31×#442C212yesmaximal, complemented
4C4×C31×#121C211yesmaximal, characteristic, complemented
5C31×#1879C212yesmaximal, complemented
6C31×#1874C211yesmaximal, characteristic, complemented
7C31×#1864C212yesmaximal, complemented
8C31×#1853C211yesmaximal, characteristic, complemented
9C31×#1786C211yesmaximal, characteristic, complemented
10C31×#1762C212yesmaximal, complemented
11C31×#1749C211yesmaximal, characteristic, complemented
12C23×D4×C31C2211yescharacteristic
13C24×C4×C31—21no—
14C22×D8×C31C2212yes—
15C2×C31×#121C2211yescharacteristic
16C2×C4×D4×C31—28no—
17C2×C4×D4×C31—21no—
18C2×C4×D4×C31—21no—
19C2×C4×D4×C31—21no—
20C2×C4×D4×C31C2212yes—
21C2×C4×D4×C31C2212yes—
22C2×C4×D4×C31C2211yescharacteristic, complemented
23C22×C4⋊C4×C31C2211yescharacteristic
24C22×C22⋊C4×C31—21no—
25C22×C42×C31C2211yescharacteristic
26C31×#447C418yescomplemented
27C31×#442—28no—
28C2×C31×#106C2212yescomplemented
29C2×C31×#102C2212yes—
30C2×C31×#102C2212yes—
31C2×C31×#102C2212yes—
32C2×C31×#102C2212yescomplemented
33C2×C31×C22⋊C8C2211yescharacteristic
34C2×C31×C22⋊C8C2211yescharacteristic
35C2×C31×#97C2212yescomplemented
36C31×#390C2211yescharacteristic, complemented
37C31×#389C2211yescharacteristic, complemented
38C31×#388—21no—
39C31×#386—21no—
40C31×#380C2211yescharacteristic
41C4×C4⋊C4×C31C2211yescharacteristic, complemented
42C4×C22⋊C4×C31—21no—
43C31×#340C2212yescomplemented
44C31×#340C2212yescomplemented
45C31×#336C2212yescomplemented
46C25×C31—21no—
47C22×D4×C31—24no—
48C22×D4×C31—24no—
49C22×D4×C31—21no—
50C22×D4×C31—21no—
51C22×D4×C31—22no—
52C22×D4×C31C2×C414yescomplemented
53C22×D4×C31C2311yescharacteristic
54C22×D4×C31C2312yes—
55C23×C4×C31—28no—
56C23×C4×C31—21no—
57C23×C4×C31—22no—
58C23×C4×C31—22no—
59C23×C4×C31—21no—
60C23×C4×C31—44no—
61C23×C4×C31—44no—
62C23×C4×C31D411yescharacteristic
63C23×C4×C31D411yescharacteristic
64C23×C4×C31C2311yescharacteristic
65C2×D8×C31—24no—
66C2×D8×C31—24no—
67C2×D8×C31C2×C418yescomplemented
68C22×C8×C31C2312yes—
69C22×C8×C31C2312yes—
70C31×#121—22no—
71C31×#121C2×C414yescomplemented
72C4×D4×C31—28no—
73C4×D4×C31—28no—
74C4×D4×C31—24no—
75C4×D4×C31—24no—
76C4×D4×C31—24no—
77C4×D4×C31—24no—
78C4×D4×C31—44no—
79C4×D4×C31D418yescomplemented
80C2×C4⋊C4×C31—21no—
81C2×C4⋊C4×C31—24no—
82C2×C4⋊C4×C31—21no—
83C2×C4⋊C4×C31C2311yescharacteristic
84C2×C4⋊C4×C31C2311yescharacteristic
85C2×C4⋊C4×C31C2311yescharacteristic
86C2×C4⋊C4×C31C2312yes—
87C2×C22⋊C4×C31—28no—
88C2×C22⋊C4×C31—22no—
89C2×C22⋊C4×C31—22no—
90C2×C22⋊C4×C31—21no—
91C2×C22⋊C4×C31—21no—
92C2×C22⋊C4×C31—21no—
93C2×C22⋊C4×C31—21no—
94C2×C22⋊C4×C31—21no—
95C2×C42×C31—24no—
96C2×C42×C31—21no—
97C2×C42×C31D411yescharacteristic
98C2×C42×C31D411yescharacteristic
99C2×C42×C31C2311yescharacteristic
100C2×C42×C31C2311yescharacteristic
101C31×#106—24no—
102C31×#102—24no—
103C31×#102—24no—
104C31×#102—24no—
105C31×#102C2×C418yescomplemented
106C31×C22⋊C8—22no—
107C31×C22⋊C8C2×C414yescomplemented
108C31×#97—24no—
109C31×#95—21no—
110C31×#95—21no—
111C31×#95—21no—
112C24×C31—24no—
113C24×C31—24no—
114C24×C31—24no—
115C24×C31—22no—
116C24×C31—21no—
117C24×C31—42no—
118C24×C31—42no—
119C24×C31—42no—
120C24×C31—42no—
121C24×C31C2×D411yescharacteristic
122C2×D4×C31—24no—
123C2×D4×C31—24no—
124C2×D4×C31—216no—
125C2×D4×C31—216no—
126C2×D4×C31—24no—
127C2×D4×C31—24no—
128C2×D4×C31—22no—
129C2×D4×C31—22no—
130C2×D4×C31—22no—
131C2×D4×C31—22no—
132C2×D4×C31—22no—
133C2×D4×C31—21no—
134C2×D4×C31—42no—
135C2×D4×C31—42no—
136C2×D4×C31C22×C414yes—
137C2×D4×C31C22×C412yescomplemented
138C2×D4×C31C2×D414yes—
139C2×D4×C31#4114yes—
140C22×C4×C31—22no—
141C22×C4×C31—22no—
142C22×C4×C31—22no—
143C22×C4×C31—22no—
144C22×C4×C31—22no—
145C22×C4×C31—24no—
146C22×C4×C31—28no—
147C22×C4×C31—22no—
148C22×C4×C31—21no—
149C22×C4×C31—22no—
150C22×C4×C31—22no—
151C22×C4×C31—28no—
152C22×C4×C31—21no—
153C22×C4×C31—21no—
154C22×C4×C31—41no—
155C22×C4×C31—432no—
156C22×C4×C31—44no—
157C22×C4×C31—44no—
158C22×C4×C31—44no—
159C22×C4×C31—42no—
160C22×C4×C31—42no—
161C22×C4×C31—42no—
162C22×C4×C31—42no—
163C22×C4×C31—44no—
164C22×C4×C31—42no—
165C22×C4×C31C22×C412yes—
166C22×C4×C31C2×D411yescharacteristic
167C22×C4×C31C2×D411yescharacteristic
168C22×C4×C31C2×D411yescharacteristic
169C22×C4×C31C2×D411yescharacteristic
170C22×C4×C31C2×D411yescharacteristic
171C22×C4×C31#4112yes—
172C22×C4×C31C2411yescharacteristic
173D8×C31—216no—
174C2×C8×C31—22no—
175C2×C8×C31—22no—
176C2×C8×C31—22no—
177C2×C8×C31—22no—
178C2×C8×C31—22no—
179C2×C8×C31C22×C414yescomplemented
180C4⋊C4×C31—24no—
181C4⋊C4×C31—22no—
182C4⋊C4×C31—21no—
183C4⋊C4×C31—22no—
184C4⋊C4×C31—22no—
185C4⋊C4×C31—42no—
186C4⋊C4×C31C22×C412yescomplemented
187C4⋊C4×C31C2×D414yes—
188C22⋊C4×C31—28no—
189C22⋊C4×C31—24no—
190C22⋊C4×C31—28no—
191C22⋊C4×C31—42no—
192C22⋊C4×C31—42no—
193C22⋊C4×C31—42no—
194C22⋊C4×C31—42no—
195C42×C31—22no—
196C42×C31—22no—
197C42×C31—22no—
198C42×C31—42no—
199C42×C31C2×D414yes—
200#21452C3111yesmaximal, characteristic, direct product factor, Sylow
201C23×C31—21no—
202C23×C31—21no—
203C23×C31—21no—
204C23×C31—21no—
205C23×C31—216no—
206C23×C31—24no—
207C23×C31—24no—
208C23×C31—24no—
209C23×C31—22no—
210C23×C31—48no—
211C23×C31—48no—
212C23×C31—48no—
213C23×C31—48no—
214C23×C31—48no—
215C23×C31—42no—
216C23×C31—42no—
217C23×C31—42no—
218C23×C31—42no—
219C23×C31—48no—
220C23×C31—41no—
221C23×C31—41no—
222C23×C31—41no—
223C23×C31—41no—
224C23×C31—41no—
225C23×C31—41no—
226C23×C31C4×D412yes—
227C23×C31AGL(1,ℤ/8)12yes—
228C23×C31AGL(1,ℤ/8)12yes—
229C23×C31C22×D411yescharacteristic
230D4×C31—216no—
231D4×C31—24no—
232D4×C31—24no—
233D4×C31—24no—
234D4×C31—24no—
235D4×C31—48no—
236D4×C31—42no—
237D4×C31C4×D418yescomplemented
238C2×C4×C31—28no—
239C2×C4×C31—21no—
240C2×C4×C31—21no—
241C2×C4×C31—21no—
242C2×C4×C31—21no—
243C2×C4×C31—21no—
244C2×C4×C31—21no—
245C2×C4×C31—21no—
246C2×C4×C31—21no—
247C2×C4×C31—24no—
248C2×C4×C31—24no—
249C2×C4×C31—22no—
250C2×C4×C31—21no—
251C2×C4×C31—24no—
252C2×C4×C31—21no—
253C2×C4×C31—21no—
254C2×C4×C31—44no—
255C2×C4×C31—416no—
256C2×C4×C31—416no—
257C2×C4×C31—48no—
258C2×C4×C31—41no—
259C2×C4×C31—42no—
260C2×C4×C31—42no—
261C2×C4×C31—41no—
262C2×C4×C31—41no—
263C2×C4×C31—41no—
264C2×C4×C31—41no—
265C2×C4×C31—41no—
266C2×C4×C31—41no—
267C2×C4×C31—41no—
268C2×C4×C31—84no—
269C2×C4×C31C4×D412yes—
270C2×C4×C31#12012yes—
271C2×C4×C31#12012yes—
272C2×C4×C31AGL(1,ℤ/8)12yes—
273C2×C4×C31C23×C411yescharacteristic
274C2×C4×C31C22×D412yes—
275C2×C4×C31C2×#4112yes—
276C2×C4×C31C2×#4111yescharacteristic
277C8×C31—24no—
278C8×C31—42no—
279C22×C4×D4C2×C3111yescharacteristic, complemented
280C2×#447C2×C3111yescharacteristic
281C2×#442C2×C3112yescomplemented
282C4×#121C2×C3111yescharacteristic, complemented
283#1879C2×C3112yescomplemented
284#1874C2×C3111yescharacteristic, complemented
285#1864C2×C3112yescomplemented
286#1853C2×C3111yescharacteristic, complemented
287#1786C2×C3111yescharacteristic, complemented
288#1762C2×C3112yescomplemented
289#1749C2×C3111yescharacteristic, complemented
290C22×C31—22no—
291C22×C31—22no—
292C22×C31—22no—
293C22×C31—22no—
294C22×C31—22no—
295C22×C31—22no—
296C22×C31—28no—
297C22×C31—432no—
298C22×C31—44no—
299C22×C31—44no—
300C22×C31—44no—
301C22×C31—44no—
302C22×C31—44no—
303C22×C31—44no—
304C22×C31—42no—
305C22×C31—42no—
306C22×C31—42no—
307C22×C31—81no—
308C22×C31—81no—
309C22×C31—81no—
310C22×C31—81no—
311C22×C31#44214yescomplemented
312C22×C31C2×C4×D411yescharacteristic
313C22×C31C2×#12011yescharacteristic
314C22×C31#52511yescharacteristic
315C22×C31C2×AGL(1,ℤ/8)11yescharacteristic
316C22×C31C2×AGL(1,ℤ/8)11yescharacteristic
317C22×C31C2×AGL(1,ℤ/8)11yescharacteristic
318C22×C31#57511yescharacteristic
319C4×C31—22no—
320C4×C31—22no—
321C4×C31—22no—
322C4×C31—22no—
323C4×C31—42no—
324C4×C31—44no—
325C4×C31—41no—
326C4×C31—81no—
327C4×C31—81no—
328C4×C31C2×C4×D412yes—
329C4×C31#52512yes—
330C23×D4C22×C3111yescharacteristic
331C24×C4—21no—
332C22×D8C22×C3112yes—
333C2×#121C22×C3111yescharacteristic
334C2×C4×D4—28no—
335C2×C4×D4—21no—
336C2×C4×D4—21no—
337C2×C4×D4—21no—
338C2×C4×D4C22×C3112yes—
339C2×C4×D4C22×C3112yes—
340C2×C4×D4C22×C3111yescharacteristic, complemented
341C22×C4⋊C4C22×C3111yescharacteristic
342C22×C22⋊C4—21no—
343C22×C42C22×C3111yescharacteristic
344#447C4×C3118yescomplemented
345#442—28no—
346C2×#106C22×C3112yescomplemented
347C2×#102C22×C3112yes—
348C2×#102C22×C3112yes—
349C2×#102C22×C3112yes—
350C2×#102C22×C3112yescomplemented
351C2×C22⋊C8C22×C3111yescharacteristic
352C2×C22⋊C8C22×C3111yescharacteristic
353C2×#97C22×C3112yescomplemented
354#390C22×C3111yescharacteristic, complemented
355#389C22×C3111yescharacteristic, complemented
356#388—21no—
357#386—21no—
358#380C22×C3111yescharacteristic
359C4×C4⋊C4C22×C3111yescharacteristic, complemented
360C4×C22⋊C4—21no—
361#340C22×C3112yescomplemented
362#340C22×C3112yescomplemented
363#336C22×C3112yescomplemented
364C2×C31—24no—
365C2×C31—48no—
366C2×C31—82no—
367C2×C31C4×#12011yescharacteristic
368C2×C31C2×#44211yescharacteristic
369C2×C31C4×AGL(1,ℤ/8)11yescharacteristic
370C2×C31#300311yescharacteristic
371C2×C31#300611yescharacteristic
372C2×C31#310911yescharacteristic
373C2×C31#311411yescharacteristic
374C25—21no—
375C22×D4—24no—
376C22×D4—24no—
377C22×D4—21no—
378C22×D4—21no—
379C22×D4—22no—
380C22×D4C2×C4×C3114yescomplemented
381C22×D4C23×C3111yescharacteristic
382C22×D4C23×C3112yes—
383C23×C4—28no—
384C23×C4—21no—
385C23×C4—22no—
386C23×C4—22no—
387C23×C4—21no—
388C23×C4—44no—
389C23×C4—44no—
390C23×C4D4×C3111yescharacteristic
391C23×C4D4×C3111yescharacteristic
392C23×C4C23×C3111yescharacteristic
393C2×D8—24no—
394C2×D8—24no—
395C2×D8C2×C4×C3118yescomplemented
396C22×C8C23×C3112yes—
397C22×C8C23×C3112yes—
398#121—22no—
399#121C2×C4×C3114yescomplemented
400C4×D4—28no—
401C4×D4—28no—
402C4×D4—24no—
403C4×D4—24no—
404C4×D4—24no—
405C4×D4—24no—
406C4×D4—44no—
407C4×D4D4×C3118yescomplemented
408C2×C4⋊C4—21no—
409C2×C4⋊C4—24no—
410C2×C4⋊C4—21no—
411C2×C4⋊C4C23×C3111yescharacteristic
412C2×C4⋊C4C23×C3111yescharacteristic
413C2×C4⋊C4C23×C3111yescharacteristic
414C2×C4⋊C4C23×C3112yes—
415C2×C22⋊C4—28no—
416C2×C22⋊C4—22no—
417C2×C22⋊C4—22no—
418C2×C22⋊C4—21no—
419C2×C22⋊C4—21no—
420C2×C22⋊C4—21no—
421C2×C22⋊C4—21no—
422C2×C22⋊C4—21no—
423C2×C42—24no—
424C2×C42—21no—
425C2×C42D4×C3111yescharacteristic
426C2×C42D4×C3111yescharacteristic
427C2×C42C23×C3111yescharacteristic
428C2×C42C23×C3111yescharacteristic
429#106—24no—
430#102—24no—
431#102—24no—
432#102—24no—
433#102C2×C4×C3118yescomplemented
434C22⋊C8—22no—
435C22⋊C8C2×C4×C3114yescomplemented
436#97—24no—
437#95—21no—
438#95—21no—
439#95—21no—
440C31#2145211yescharacteristic, direct product factor, Sylow
441C24—24no—
442C24—24no—
443C24—24no—
444C24—22no—
445C24—21no—
446C24—42no—
447C24—42no—
448C24—42no—
449C24—42no—
450C24C2×D4×C3111yescharacteristic
451C2×D4—24no—
452C2×D4—24no—
453C2×D4—216no—
454C2×D4—216no—
455C2×D4—24no—
456C2×D4—24no—
457C2×D4—22no—
458C2×D4—22no—
459C2×D4—22no—
460C2×D4—22no—
461C2×D4—22no—
462C2×D4—21no—
463C2×D4—42no—
464C2×D4—42no—
465C2×D4C22×C4×C3114yes—
466C2×D4C22×C4×C3112yescomplemented
467C2×D4C2×D4×C3114yes—
468C2×D4#41×C3114yes—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—24no—
475C22×C4—28no—
476C22×C4—22no—
477C22×C4—21no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—28no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—41no—
484C22×C4—432no—
485C22×C4—44no—
486C22×C4—44no—
487C22×C4—44no—
488C22×C4—42no—
489C22×C4—42no—
490C22×C4—42no—
491C22×C4—42no—
492C22×C4—44no—
493C22×C4—42no—
494C22×C4C22×C4×C3112yes—
495C22×C4C2×D4×C3111yescharacteristic
496C22×C4C2×D4×C3111yescharacteristic
497C22×C4C2×D4×C3111yescharacteristic
498C22×C4C2×D4×C3111yescharacteristic
499C22×C4C2×D4×C3111yescharacteristic
500C22×C4#41×C3112yes—
501C22×C4C24×C3111yescharacteristic
502D8—216no—
503C2×C8—22no—
504C2×C8—22no—
505C2×C8—22no—
506C2×C8—22no—
507C2×C8—22no—
508C2×C8C22×C4×C3114yescomplemented
509C4⋊C4—24no—
510C4⋊C4—22no—
511C4⋊C4—21no—
512C4⋊C4—22no—
513C4⋊C4—22no—
514C4⋊C4—42no—
515C4⋊C4C22×C4×C3112yescomplemented
516C4⋊C4C2×D4×C3114yes—
517C22⋊C4—28no—
518C22⋊C4—24no—
519C22⋊C4—28no—
520C22⋊C4—42no—
521C22⋊C4—42no—
522C22⋊C4—42no—
523C22⋊C4—42no—
524C42—22no—
525C42—22no—
526C42—22no—
527C42—42no—
528C42C2×D4×C3114yes—
529C23—21no—
530C23—21no—
531C23—21no—
532C23—21no—
533C23—216no—
534C23—24no—
535C23—24no—
536C23—24no—
537C23—22no—
538C23—48no—
539C23—48no—
540C23—48no—
541C23—48no—
542C23—48no—
543C23—48no—
544C23—42no—
545C23—42no—
546C23—42no—
547C23—42no—
548C23—41no—
549C23—41no—
550C23—41no—
551C23—41no—
552C23—41no—
553C23—41no—
554C23C4×D4×C3112yes—
555C23C31×AGL(1,ℤ/8)12yes—
556C23C31×AGL(1,ℤ/8)12yes—
557C23C22×D4×C3111yescharacteristic
558D4—216no—
559D4—24no—
560D4—24no—
561D4—24no—
562D4—24no—
563D4—48no—
564D4—42no—
565D4C4×D4×C3118yescomplemented
566C2×C4—28no—
567C2×C4—21no—
568C2×C4—21no—
569C2×C4—21no—
570C2×C4—21no—
571C2×C4—21no—
572C2×C4—21no—
573C2×C4—21no—
574C2×C4—21no—
575C2×C4—24no—
576C2×C4—24no—
577C2×C4—22no—
578C2×C4—21no—
579C2×C4—24no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—44no—
583C2×C4—416no—
584C2×C4—416no—
585C2×C4—48no—
586C2×C4—41no—
587C2×C4—42no—
588C2×C4—42no—
589C2×C4—41no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—84no—
597C2×C4C4×D4×C3112yes—
598C2×C4C31×#12012yes—
599C2×C4C31×#12012yes—
600C2×C4C31×AGL(1,ℤ/8)12yes—
601C2×C4C23×C4×C3111yescharacteristic
602C2×C4C22×D4×C3112yes—
603C2×C4C2×#41×C3112yes—
604C2×C4C2×#41×C3111yescharacteristic
605C8—24no—
606C8—42no—
607C22—22no—
608C22—22no—
609C22—22no—
610C22—22no—
611C22—22no—
612C22—22no—
613C22—28no—
614C22—432no—
615C22—44no—
616C22—44no—
617C22—44no—
618C22—44no—
619C22—44no—
620C22—44no—
621C22—42no—
622C22—42no—
623C22—42no—
624C22—81no—
625C22—81no—
626C22—81no—
627C22—81no—
628C22C31×#44214yescomplemented
629C22C2×C4×D4×C3111yescharacteristic
630C22C2×C31×#12011yescharacteristic
631C22C31×#52511yescharacteristic
632C22C2×C31×AGL(1,ℤ/8)11yescharacteristic
633C22C2×C31×AGL(1,ℤ/8)11yescharacteristic
634C22C2×C31×AGL(1,ℤ/8)11yescharacteristic
635C22C31×#57511yescharacteristic
636C4—22no—
637C4—22no—
638C4—22no—
639C4—22no—
640C4—42no—
641C4—44no—
642C4—41no—
643C4—81no—
644C4—81no—
645C4C2×C4×D4×C3112yes—
646C4C31×#52512yes—
647C2—24no—
648C2—48no—
649C2—82no—
650C2C4×C31×#12011yescharacteristic
651C2C2×C31×#44211yescharacteristic
652C2C4×C31×AGL(1,ℤ/8)11yescharacteristic
653C2C31×#300311yescharacteristic
654C2C31×#300611yescharacteristic
655C2C31×#310911yescharacteristic
656C2C31×#311411yescharacteristic
subgroupG/H
center, socleC23×C31C22×D4
commutatorC2×C4C23×C4×C31
Frattini, cosocleC22×C4C24×C31
prime radicalC2×C31×#447C2
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C31 ◁ C22×C42×C31 ◁ G

Complements

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

NH ≅ G/Ntype
1. C22×C4×D4×C31C2semidirect
3. C2×C31×#442C2semidirect
4. C4×C31×#121C2semidirect
5. C31×#1879C2semidirect
6. C31×#1874C2semidirect
7. C31×#1864C2semidirect
8. C31×#1853C2semidirect
9. C31×#1786C2semidirect
10. C31×#1762C2semidirect
11. C31×#1749C2semidirect
22. C2×C4×D4×C31C22semidirect
26. C31×#447C4semidirect
28. C2×C31×#106C22semidirect
32. C2×C31×#102C22semidirect
35. C2×C31×#97C22semidirect
36. C31×#390C22semidirect
37. C31×#389C22semidirect
41. C4×C4⋊C4×C31C22semidirect
43. C31×#340C22semidirect
44. C31×#340C22semidirect
45. C31×#336C22semidirect
52. C22×D4×C31C2×C4semidirect
67. C2×D8×C31C2×C4semidirect
71. C31×#121C2×C4semidirect
79. C4×D4×C31D4semidirect
105. C31×#102C2×C4semidirect
107. C31×C22⋊C8C2×C4semidirect
137. C2×D4×C31C22×C4semidirect
179. C2×C8×C31C22×C4semidirect
186. C4⋊C4×C31C22×C4semidirect
200. #21452C31direct (N × H)
237. D4×C31C4×D4semidirect
279. C22×C4×D4C2×C31semidirect
281. C2×#442C2×C31semidirect
282. C4×#121C2×C31semidirect
283. #1879C2×C31semidirect
284. #1874C2×C31semidirect
285. #1864C2×C31semidirect
286. #1853C2×C31semidirect
287. #1786C2×C31semidirect
288. #1762C2×C31semidirect
289. #1749C2×C31semidirect
311. C22×C31#442semidirect
340. C2×C4×D4C22×C31semidirect
344. #447C4×C31semidirect
346. C2×#106C22×C31semidirect
350. C2×#102C22×C31semidirect
353. C2×#97C22×C31semidirect
354. #390C22×C31semidirect
355. #389C22×C31semidirect
359. C4×C4⋊C4C22×C31semidirect
361. #340C22×C31semidirect
362. #340C22×C31semidirect
363. #336C22×C31semidirect
380. C22×D4C2×C4×C31semidirect
395. C2×D8C2×C4×C31semidirect
399. #121C2×C4×C31semidirect
407. C4×D4D4×C31semidirect
433. #102C2×C4×C31semidirect
435. C22⋊C8C2×C4×C31semidirect
440. C31#21452direct (N × H)
466. C2×D4C22×C4×C31semidirect
508. C2×C8C22×C4×C31semidirect
515. C4⋊C4C22×C4×C31semidirect
565. D4C4×D4×C31semidirect
628. C22C31×#442semidirect

Maximal subgroups

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

subgroupindex
C22×C4×D4×C312
C2×C31×#4472
C2×C31×#4422
C4×C31×#1212
C31×#18792
C31×#18742
C31×#18642
C31×#18532
C31×#17862
C31×#17622
C31×#17492
#2145231