Finite Group Databasebeta

← C31×#24009 #21480768

Subgroups — C31×#24009 #21480768

Order 7936.

1772 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C31×#121C211yesmaximal, characteristic
2C2×C31×#482C212yesmaximal, complemented
3C31×#2280C211yesmaximal, characteristic, complemented
4C31×#2034C212yesmaximal, complemented
5C31×#2033C212yesmaximal, complemented
6C31×#1875C212yesmaximal, complemented
7C31×#1853C211yesmaximal, characteristic, complemented
8C31×#1852C211yesmaximal, characteristic, complemented
9C31×#1786C211yesmaximal, characteristic, complemented
10C31×#1786C211yesmaximal, characteristic, complemented
11C31×#1779C211yesmaximal, characteristic, complemented
12C23×D4×C31—21no—
13C23×D4×C31C2211yescharacteristic
14C24×C4×C31C2211yescharacteristic
15C2×C31×#121—21no—
16C2×C31×#121—21no—
17C2×C31×#121—28no—
18C2×C31×#121C2212yes—
19C2×C31×#121C2212yes—
20C2×C31×#117C2211yescharacteristic, complemented
21C2×C31×#117C2211yescharacteristic, complemented
22C22×C4⋊C4×C31C2211yescharacteristic
23C22×C22⋊C4×C31—21no—
24C31×#482—28no—
25C2×C31×#107C2212yescomplemented
26C2×C31×#106C2212yescomplemented
27C2×C31×#102C2212yescomplemented
28C2×C31×#102C2212yescomplemented
29C2×C31×#102C2212yescomplemented
30C2×C31×#102C2212yescomplemented
31C2×C31×C22⋊C8C2211yescharacteristic
32C2×C31×C22⋊C8C2211yescharacteristic
33C2×C31×C22⋊C8C2212yescomplemented
34C2×C31×C22⋊C8C2212yescomplemented
35C31×#381—21no—
36C31×#380C2211yescharacteristic
37C31×#380C2211yescharacteristic
38C31×#380C2211yescharacteristic, complemented
39C31×#380C2211yescharacteristic, complemented
40C31×#379—21no—
41C4×C22⋊C4×C31—21no—
42C4×C22⋊C4×C31—21no—
43C31×#340C2212yescomplemented
44C31×#340C2212yescomplemented
45C25×C31—21no—
46C25×C31D411yescharacteristic
47C22×D4×C31—28no—
48C22×D4×C31—22no—
49C22×D4×C31—22no—
50C22×D4×C31—24no—
51C22×D4×C31—21no—
52C22×D4×C31—22no—
53C22×D4×C31—22no—
54C22×D4×C31—42no—
55C22×D4×C31—44no—
56C22×D4×C31—44no—
57C22×D4×C31C2312yes—
58C23×C4×C31—21no—
59C23×C4×C31—24no—
60C23×C4×C31—22no—
61C23×C4×C31—22no—
62C23×C4×C31—42no—
63C23×C4×C31D411yescharacteristic
64C23×C4×C31D411yescharacteristic
65C23×C4×C31D411yescharacteristic
66C23×C4×C31C2311yescharacteristic
67C23×C4×C31C2311yescharacteristic
68C23×C4×C31C2311yescharacteristic
69C22×C8×C31C2312yes—
70C22×C8×C31C2312yes—
71C31×#121—28no—
72C31×#121—28no—
73C31×#121—24no—
74C31×#121—24no—
75C31×#121—24no—
76C31×#121D418yes—
77C31×#117—24no—
78C31×#117—42no—
79C2×C4⋊C4×C31—21no—
80C2×C4⋊C4×C31—24no—
81C2×C4⋊C4×C31C2311yescharacteristic
82C2×C4⋊C4×C31C2311yescharacteristic
83C2×C4⋊C4×C31C2311yescharacteristic
84C2×C4⋊C4×C31C2311yescharacteristic
85C2×C4⋊C4×C31C2312yes—
86C2×C22⋊C4×C31—28no—
87C2×C22⋊C4×C31—22no—
88C2×C22⋊C4×C31—22no—
89C2×C22⋊C4×C31—21no—
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—21no—
96C2×C42×C31—21no—
97C31×#107—24no—
98C31×#106—24no—
99C31×#102—24no—
100C31×#102—24no—
101C31×#102—42no—
102C31×#102—42no—
103C31×C22⋊C8—24no—
104C31×C22⋊C8—22no—
105C31×C22⋊C8—22no—
106C31×C22⋊C8—42no—
107C31×#95—21no—
108C31×#95—21no—
109C31×#95—21no—
110C31×#95—21no—
111C24×C31—22no—
112C24×C31—22no—
113C24×C31—22no—
114C24×C31—24no—
115C24×C31—22no—
116C24×C31—22no—
117C24×C31—22no—
118C24×C31—41no—
119C24×C31—41no—
120C24×C31—42no—
121C24×C31—42no—
122C24×C31—42no—
123C24×C31—42no—
124C24×C31—42no—
125C24×C31—42no—
126C24×C31C2×D411yescharacteristic
127C24×C31C2×D411yescharacteristic
128C24×C31C2×D411yescharacteristic
129C2×D4×C31—24no—
130C2×D4×C31—28no—
131C2×D4×C31—28no—
132C2×D4×C31—22no—
133C2×D4×C31—22no—
134C2×D4×C31—22no—
135C2×D4×C31—22no—
136C2×D4×C31—22no—
137C2×D4×C31—48no—
138C2×D4×C31—48no—
139C2×D4×C31—42no—
140C2×D4×C31—432no—
141C2×D4×C31—44no—
142C2×D4×C31—44no—
143C2×D4×C31—44no—
144C2×D4×C31—44no—
145C2×D4×C31—42no—
146C2×D4×C31C2×D414yes—
147C22×C4×C31—22no—
148C22×C4×C31—21no—
149C22×C4×C31—21no—
150C22×C4×C31—22no—
151C22×C4×C31—22no—
152C22×C4×C31—24no—
153C22×C4×C31—22no—
154C22×C4×C31—22no—
155C22×C4×C31—22no—
156C22×C4×C31—22no—
157C22×C4×C31—22no—
158C22×C4×C31—22no—
159C22×C4×C31—22no—
160C22×C4×C31—22no—
161C22×C4×C31—21no—
162C22×C4×C31—21no—
163C22×C4×C31—22no—
164C22×C4×C31—21no—
165C22×C4×C31—21no—
166C22×C4×C31—21no—
167C22×C4×C31—21no—
168C22×C4×C31—41no—
169C22×C4×C31—41no—
170C22×C4×C31—41no—
171C22×C4×C31—48no—
172C22×C4×C31—48no—
173C22×C4×C31—42no—
174C22×C4×C31—42no—
175C22×C4×C31C2×D411yescharacteristic
176C22×C4×C31C2×D411yescharacteristic
177C22×C4×C31C2×D414yes—
178C22×C4×C31C2×D411yescharacteristic
179C22×C4×C31#4112yes—
180C22×C4×C31#4112yes—
181C22×C4×C31C2411yescharacteristic
182C2×C8×C31—22no—
183C2×C8×C31—22no—
184C2×C8×C31—22no—
185C2×C8×C31—22no—
186C2×C8×C31—22no—
187C2×C8×C31—22no—
188C4⋊C4×C31—24no—
189C4⋊C4×C31—22no—
190C4⋊C4×C31—22no—
191C4⋊C4×C31—22no—
192C4⋊C4×C31—22no—
193C4⋊C4×C31—22no—
194C4⋊C4×C31C2×D414yes—
195C22⋊C4×C31—28no—
196C22⋊C4×C31—28no—
197C22⋊C4×C31—42no—
198C22⋊C4×C31—42no—
199C22⋊C4×C31—42no—
200C22⋊C4×C31—42no—
201C22⋊C4×C31—42no—
202C22⋊C4×C31—42no—
203C42×C31—42no—
204C42×C31—42no—
205#24009C3111yesmaximal, characteristic, direct product factor, Sylow
206C23×C31—21no—
207C23×C31—21no—
208C23×C31—21no—
209C23×C31—21no—
210C23×C31—28no—
211C23×C31—21no—
212C23×C31—21no—
213C23×C31—21no—
214C23×C31—21no—
215C23×C31—21no—
216C23×C31—21no—
217C23×C31—21no—
218C23×C31—21no—
219C23×C31—21no—
220C23×C31—21no—
221C23×C31—21no—
222C23×C31—21no—
223C23×C31—24no—
224C23×C31—44no—
225C23×C31—44no—
226C23×C31—44no—
227C23×C31—44no—
228C23×C31—44no—
229C23×C31—48no—
230C23×C31—48no—
231C23×C31—48no—
232C23×C31—44no—
233C23×C31—42no—
234C23×C31—42no—
235C23×C31—42no—
236C23×C31—42no—
237C23×C31—42no—
238C23×C31—42no—
239C23×C31—84no—
240C23×C31—84no—
241C23×C31—84no—
242C23×C31—84no—
243C23×C31#12012yes—
244C23×C31#12312yes—
245C23×C31#13512yes—
246C23×C31AGL(1,ℤ/8)12yes—
247C23×C31AGL(1,ℤ/8)12yes—
248C23×C31C22×D411yescharacteristic
249D4×C31—24no—
250D4×C31—24no—
251D4×C31—48no—
252D4×C31—416no—
253D4×C31—416no—
254D4×C31—42no—
255D4×C31—42no—
256C2×C4×C31—21no—
257C2×C4×C31—21no—
258C2×C4×C31—21no—
259C2×C4×C31—21no—
260C2×C4×C31—24no—
261C2×C4×C31—24no—
262C2×C4×C31—24no—
263C2×C4×C31—24no—
264C2×C4×C31—21no—
265C2×C4×C31—24no—
266C2×C4×C31—21no—
267C2×C4×C31—21no—
268C2×C4×C31—44no—
269C2×C4×C31—44no—
270C2×C4×C31—44no—
271C2×C4×C31—48no—
272C2×C4×C31—42no—
273C2×C4×C31—42no—
274C2×C4×C31—42no—
275C2×C4×C31—42no—
276C2×C4×C31—41no—
277C2×C4×C31—41no—
278C2×C4×C31—41no—
279C2×C4×C31—41no—
280C2×C4×C31—41no—
281C2×C4×C31—41no—
282C2×C4×C31—41no—
283C2×C4×C31—41no—
284C2×C4×C31—41no—
285C2×C4×C31—41no—
286C2×C4×C31—41no—
287C2×C4×C31—41no—
288C2×C4×C31#12012yes—
289C2×C4×C31#12312yes—
290C2×C4×C31C22×D412yes—
291C2×C4×C31C2×#4111yescharacteristic
292C2×C4×C31C2×#4111yescharacteristic
293C2×C4×C31H(5,𝔽2)12yes—
294C8×C31—42no—
295C8×C31—42no—
296C22×#121C2×C3111yescharacteristic
297C2×#482C2×C3112yescomplemented
298#2280C2×C3111yescharacteristic, complemented
299#2034C2×C3112yescomplemented
300#2033C2×C3112yescomplemented
301#1875C2×C3112yescomplemented
302#1853C2×C3111yescharacteristic, complemented
303#1852C2×C3111yescharacteristic, complemented
304#1786C2×C3111yescharacteristic, complemented
305#1786C2×C3111yescharacteristic, complemented
306#1779C2×C3111yescharacteristic, complemented
307C22×C31—22no—
308C22×C31—22no—
309C22×C31—22no—
310C22×C31—22no—
311C22×C31—22no—
312C22×C31—22no—
313C22×C31—22no—
314C22×C31—22no—
315C22×C31—22no—
316C22×C31—22no—
317C22×C31—22no—
318C22×C31—22no—
319C22×C31—416no—
320C22×C31—41no—
321C22×C31—41no—
322C22×C31—41no—
323C22×C31—41no—
324C22×C31—41no—
325C22×C31—41no—
326C22×C31—41no—
327C22×C31—41no—
328C22×C31—44no—
329C22×C31—44no—
330C22×C31—44no—
331C22×C31—816no—
332C22×C31—82no—
333C22×C31—82no—
334C22×C31—82no—
335C22×C31—82no—
336C22×C31#48214yescomplemented
337C22×C31C2×#12011yescharacteristic
338C22×C31C2×#12311yescharacteristic
339C22×C31#53411yescharacteristic
340C22×C31C2×#13511yescharacteristic
341C22×C31C2×AGL(1,ℤ/8)11yescharacteristic
342C22×C31C2×AGL(1,ℤ/8)11yescharacteristic
343C22×C31#57511yescharacteristic
344C4×C31—22no—
345C4×C31—22no—
346C4×C31—41no—
347C4×C31—44no—
348C4×C31—81no—
349C4×C31—81no—
350C4×C31—81no—
351C4×C31—81no—
352C4×C31#54612yes—
353C4×C31#54612yes—
354C23×D4—21no—
355C23×D4C22×C3111yescharacteristic
356C24×C4C22×C3111yescharacteristic
357C2×#121—21no—
358C2×#121—21no—
359C2×#121—28no—
360C2×#121C22×C3112yes—
361C2×#121C22×C3112yes—
362C2×#117C22×C3111yescharacteristic, complemented
363C2×#117C22×C3111yescharacteristic, complemented
364C22×C4⋊C4C22×C3111yescharacteristic
365C22×C22⋊C4—21no—
366#482—28no—
367C2×#107C22×C3112yescomplemented
368C2×#106C22×C3112yescomplemented
369C2×#102C22×C3112yescomplemented
370C2×#102C22×C3112yescomplemented
371C2×#102C22×C3112yescomplemented
372C2×#102C22×C3112yescomplemented
373C2×C22⋊C8C22×C3111yescharacteristic
374C2×C22⋊C8C22×C3111yescharacteristic
375C2×C22⋊C8C22×C3112yescomplemented
376C2×C22⋊C8C22×C3112yescomplemented
377#381—21no—
378#380C22×C3111yescharacteristic
379#380C22×C3111yescharacteristic
380#380C22×C3111yescharacteristic, complemented
381#380C22×C3111yescharacteristic, complemented
382#379—21no—
383C4×C22⋊C4—21no—
384C4×C22⋊C4—21no—
385#340C22×C3112yescomplemented
386#340C22×C3112yescomplemented
387C2×C31—24no—
388C2×C31—42no—
389C2×C31—42no—
390C2×C31—84no—
391C2×C31#240511yescharacteristic
392C2×C31#300211yescharacteristic
393C2×C31#300311yescharacteristic
394C2×C31C2×#48211yescharacteristic
395C2×C31#309411yescharacteristic
396C2×C31#318811yescharacteristic
397C2×C31#319411yescharacteristic
398C25—21no—
399C25D4×C3111yescharacteristic
400C22×D4—28no—
401C22×D4—22no—
402C22×D4—22no—
403C22×D4—24no—
404C22×D4—21no—
405C22×D4—22no—
406C22×D4—22no—
407C22×D4—42no—
408C22×D4—44no—
409C22×D4—44no—
410C22×D4C23×C3112yes—
411C23×C4—21no—
412C23×C4—24no—
413C23×C4—22no—
414C23×C4—22no—
415C23×C4—42no—
416C23×C4D4×C3111yescharacteristic
417C23×C4D4×C3111yescharacteristic
418C23×C4D4×C3111yescharacteristic
419C23×C4C23×C3111yescharacteristic
420C23×C4C23×C3111yescharacteristic
421C23×C4C23×C3111yescharacteristic
422C22×C8C23×C3112yes—
423C22×C8C23×C3112yes—
424#121—28no—
425#121—28no—
426#121—24no—
427#121—24no—
428#121—24no—
429#121D4×C3118yes—
430#117—24no—
431#117—42no—
432C2×C4⋊C4—21no—
433C2×C4⋊C4—24no—
434C2×C4⋊C4C23×C3111yescharacteristic
435C2×C4⋊C4C23×C3111yescharacteristic
436C2×C4⋊C4C23×C3111yescharacteristic
437C2×C4⋊C4C23×C3111yescharacteristic
438C2×C4⋊C4C23×C3112yes—
439C2×C22⋊C4—28no—
440C2×C22⋊C4—22no—
441C2×C22⋊C4—22no—
442C2×C22⋊C4—21no—
443C2×C22⋊C4—21no—
444C2×C22⋊C4—21no—
445C2×C22⋊C4—21no—
446C2×C22⋊C4—21no—
447C2×C22⋊C4—21no—
448C2×C42—21no—
449C2×C42—21no—
450#107—24no—
451#106—24no—
452#102—24no—
453#102—24no—
454#102—42no—
455#102—42no—
456C22⋊C8—24no—
457C22⋊C8—22no—
458C22⋊C8—22no—
459C22⋊C8—42no—
460#95—21no—
461#95—21no—
462#95—21no—
463#95—21no—
464C31#2400911yescharacteristic, direct product factor, Sylow
465C24—22no—
466C24—22no—
467C24—22no—
468C24—24no—
469C24—22no—
470C24—22no—
471C24—22no—
472C24—41no—
473C24—41no—
474C24—42no—
475C24—42no—
476C24—42no—
477C24—42no—
478C24—42no—
479C24—42no—
480C24C2×D4×C3111yescharacteristic
481C24C2×D4×C3111yescharacteristic
482C24C2×D4×C3111yescharacteristic
483C2×D4—24no—
484C2×D4—28no—
485C2×D4—28no—
486C2×D4—22no—
487C2×D4—22no—
488C2×D4—22no—
489C2×D4—22no—
490C2×D4—22no—
491C2×D4—48no—
492C2×D4—48no—
493C2×D4—42no—
494C2×D4—432no—
495C2×D4—44no—
496C2×D4—44no—
497C2×D4—44no—
498C2×D4—44no—
499C2×D4—42no—
500C2×D4C2×D4×C3114yes—
501C22×C4—22no—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—24no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—22no—
510C22×C4—22no—
511C22×C4—22no—
512C22×C4—22no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—22no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—41no—
523C22×C4—41no—
524C22×C4—41no—
525C22×C4—48no—
526C22×C4—48no—
527C22×C4—42no—
528C22×C4—42no—
529C22×C4C2×D4×C3111yescharacteristic
530C22×C4C2×D4×C3111yescharacteristic
531C22×C4C2×D4×C3114yes—
532C22×C4C2×D4×C3111yescharacteristic
533C22×C4#41×C3112yes—
534C22×C4#41×C3112yes—
535C22×C4C24×C3111yescharacteristic
536C2×C8—22no—
537C2×C8—22no—
538C2×C8—22no—
539C2×C8—22no—
540C2×C8—22no—
541C2×C8—22no—
542C4⋊C4—24no—
543C4⋊C4—22no—
544C4⋊C4—22no—
545C4⋊C4—22no—
546C4⋊C4—22no—
547C4⋊C4—22no—
548C4⋊C4C2×D4×C3114yes—
549C22⋊C4—28no—
550C22⋊C4—28no—
551C22⋊C4—42no—
552C22⋊C4—42no—
553C22⋊C4—42no—
554C22⋊C4—42no—
555C22⋊C4—42no—
556C22⋊C4—42no—
557C42—42no—
558C42—42no—
559C23—21no—
560C23—21no—
561C23—21no—
562C23—21no—
563C23—28no—
564C23—21no—
565C23—21no—
566C23—21no—
567C23—21no—
568C23—21no—
569C23—21no—
570C23—21no—
571C23—21no—
572C23—21no—
573C23—21no—
574C23—21no—
575C23—21no—
576C23—24no—
577C23—44no—
578C23—44no—
579C23—44no—
580C23—44no—
581C23—44no—
582C23—48no—
583C23—48no—
584C23—48no—
585C23—44no—
586C23—42no—
587C23—42no—
588C23—42no—
589C23—42no—
590C23—42no—
591C23—42no—
592C23—84no—
593C23—84no—
594C23—84no—
595C23—84no—
596C23C31×#12012yes—
597C23C31×#12312yes—
598C23C31×#13512yes—
599C23C31×AGL(1,ℤ/8)12yes—
600C23C31×AGL(1,ℤ/8)12yes—
601C23C22×D4×C3111yescharacteristic
602D4—24no—
603D4—24no—
604D4—48no—
605D4—416no—
606D4—416no—
607D4—42no—
608D4—42no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—24no—
614C2×C4—24no—
615C2×C4—24no—
616C2×C4—24no—
617C2×C4—21no—
618C2×C4—24no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—44no—
622C2×C4—44no—
623C2×C4—44no—
624C2×C4—48no—
625C2×C4—42no—
626C2×C4—42no—
627C2×C4—42no—
628C2×C4—42no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4C31×#12012yes—
642C2×C4C31×#12312yes—
643C2×C4C22×D4×C3112yes—
644C2×C4C2×#41×C3111yescharacteristic
645C2×C4C2×#41×C3111yescharacteristic
646C2×C4C31×H(5,𝔽2)12yes—
647C8—42no—
648C8—42no—
649C22—22no—
650C22—22no—
651C22—22no—
652C22—22no—
653C22—22no—
654C22—22no—
655C22—22no—
656C22—22no—
657C22—22no—
658C22—22no—
659C22—22no—
660C22—22no—
661C22—416no—
662C22—41no—
663C22—41no—
664C22—41no—
665C22—41no—
666C22—41no—
667C22—41no—
668C22—41no—
669C22—41no—
670C22—44no—
671C22—44no—
672C22—44no—
673C22—816no—
674C22—82no—
675C22—82no—
676C22—82no—
677C22—82no—
678C22C31×#48214yescomplemented
679C22C2×C31×#12011yescharacteristic
680C22C2×C31×#12311yescharacteristic
681C22C31×#53411yescharacteristic
682C22C2×C31×#13511yescharacteristic
683C22C2×C31×AGL(1,ℤ/8)11yescharacteristic
684C22C2×C31×AGL(1,ℤ/8)11yescharacteristic
685C22C31×#57511yescharacteristic
686C4—22no—
687C4—22no—
688C4—41no—
689C4—44no—
690C4—81no—
691C4—81no—
692C4—81no—
693C4—81no—
694C4C31×#54612yes—
695C4C31×#54612yes—
696C2—24no—
697C2—42no—
698C2—42no—
699C2—84no—
700C2C31×#240511yescharacteristic
701C2C31×#300211yescharacteristic
702C2C31×#300311yescharacteristic
703C2C2×C31×#48211yescharacteristic
704C2C31×#309411yescharacteristic
705C2C31×#318811yescharacteristic
706C2C31×#319411yescharacteristic
subgroupG/H
center, socleC23×C31C22×D4
commutator, Frattini, cosocleC22×C4C24×C31
prime radicalC22×C31×#121C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C31 ◁ C24×C4×C31 ◁ G

Complements

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

NH ≅ G/Ntype
2. C2×C31×#482C2semidirect
3. C31×#2280C2semidirect
4. C31×#2034C2semidirect
5. C31×#2033C2semidirect
6. C31×#1875C2semidirect
7. C31×#1853C2semidirect
8. C31×#1852C2semidirect
9. C31×#1786C2semidirect
10. C31×#1786C2semidirect
11. C31×#1779C2semidirect
20. C2×C31×#117C22semidirect
21. C2×C31×#117C22semidirect
25. C2×C31×#107C22semidirect
26. C2×C31×#106C22semidirect
27. C2×C31×#102C22semidirect
28. C2×C31×#102C22semidirect
29. C2×C31×#102C22semidirect
30. C2×C31×#102C22semidirect
33. C2×C31×C22⋊C8C22semidirect
34. C2×C31×C22⋊C8C22semidirect
38. C31×#380C22semidirect
39. C31×#380C22semidirect
43. C31×#340C22semidirect
44. C31×#340C22semidirect
205. #24009C31direct (N × H)
297. C2×#482C2×C31semidirect
298. #2280C2×C31semidirect
299. #2034C2×C31semidirect
300. #2033C2×C31semidirect
301. #1875C2×C31semidirect
302. #1853C2×C31semidirect
303. #1852C2×C31semidirect
304. #1786C2×C31semidirect
305. #1786C2×C31semidirect
306. #1779C2×C31semidirect
336. C22×C31#482semidirect
362. C2×#117C22×C31semidirect
363. C2×#117C22×C31semidirect
367. C2×#107C22×C31semidirect
368. C2×#106C22×C31semidirect
369. C2×#102C22×C31semidirect
370. C2×#102C22×C31semidirect
371. C2×#102C22×C31semidirect
372. C2×#102C22×C31semidirect
375. C2×C22⋊C8C22×C31semidirect
376. C2×C22⋊C8C22×C31semidirect
380. #380C22×C31semidirect
381. #380C22×C31semidirect
385. #340C22×C31semidirect
386. #340C22×C31semidirect
464. C31#24009direct (N × H)
678. C22C31×#482semidirect

Maximal subgroups

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

subgroupindex
C22×C31×#1212
C2×C31×#4822
C31×#22802
C31×#20342
C31×#20332
C31×#18752
C31×#18532
C31×#18522
C31×#17862
C31×#17792
#2400931