Finite Group Databasebeta

← C31×#33080 #21489839

Subgroups — C31×#33080 #21489839

Order 7936.

906 conjugacy classes of subgroups.

The subgroup lattice has 654 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C31×#2860C211yesmaximal, characteristic, complemented
2C42×D4×C31C211yesmaximal, characteristic, complemented
3C31×#1926C211yesmaximal, characteristic, complemented
4C31×#1926C211yesmaximal, characteristic, complemented
5C31×#1925C211yesmaximal, characteristic, complemented
6C31×#1921C211yesmaximal, characteristic, complemented
7C31×#1920C211yesmaximal, characteristic, complemented
8C31×#1919C211yesmaximal, characteristic, complemented
9C31×#1879C211yesmaximal, characteristic
10C31×#1879C211yesmaximal, characteristic
11C31×#1879C211yesmaximal, characteristic
12C31×#1864C211yesmaximal, characteristic, complemented
13C31×#1864C211yesmaximal, characteristic, complemented
14C31×#1862C211yesmaximal, characteristic, complemented
15C31×#1839C211yesmaximal, characteristic, complemented
16C22×D8×C31C2211yescharacteristic
17C2×C31×#126—21no—
18C2×C4×D4×C31C2211yescharacteristic
19C2×C4×D4×C31C2211yescharacteristic
20C2×C4×D4×C31C2211yescharacteristic
21C22×C42×C31—21no—
22C2×C31×#107C2211yescharacteristic
23C2×C31×#106C2211yescharacteristic
24C2×C31×#106C2211yescharacteristic
25C2×C31×#102C2211yescharacteristic
26C2×C31×#102C2211yescharacteristic
27C2×C31×#102C2211yescharacteristic
28C2×C31×#102C2211yescharacteristic
29C2×C31×#102C2211yescharacteristic
30C2×C31×#102C2211yescharacteristic
31C31×#390C2211yescharacteristic
32C31×#390C2211yescharacteristic
33C31×#390C2211yescharacteristic
34C31×#389C2211yescharacteristic
35C31×#389C2211yescharacteristic
36C31×#389C2211yescharacteristic
37C31×#388—21no—
38C31×#388—21no—
39C31×#388—21no—
40C4×C4⋊C4×C31C2211yescharacteristic
41C4×C4⋊C4×C31C2211yescharacteristic
42C4×C4⋊C4×C31C2211yescharacteristic
43C4×C22⋊C4×C31—21no—
44C4×C22⋊C4×C31—21no—
45C4×C22⋊C4×C31—21no—
46C43×C31C2211yescharacteristic
47C31×#340C2211yescharacteristic
48C31×#340C2211yescharacteristic
49C31×#340C2211yescharacteristic
50C31×#340C2211yescharacteristic
51C31×#340C2211yescharacteristic
52C31×#340C2211yescharacteristic
53C31×#336C2211yescharacteristic
54C31×#336C2211yescharacteristic
55C31×#336C2211yescharacteristic
56C31×#336C2211yescharacteristic
57C31×#336C2211yescharacteristic
58C31×#336C2211yescharacteristic
59C22×D4×C31C2311yescharacteristic
60C22×D4×C31C2311yescharacteristic
61C23×C4×C31—21no—
62C23×C4×C31—21no—
63C23×C4×C31—21no—
64C2×D8×C31—22no—
65C2×D8×C31—22no—
66C2×D8×C31—22no—
67C22×C8×C31C2311yescharacteristic
68C22×C8×C31C2311yescharacteristic
69C22×C8×C31C2311yescharacteristic
70C22×C8×C31C2311yescharacteristic
71C31×#126—44no—
72C4×D4×C31—22no—
73C4×D4×C31—22no—
74C4×D4×C31—22no—
75C4×D4×C31—22no—
76C4×D4×C31—22no—
77C4×D4×C31—22no—
78C2×C4⋊C4×C31—21no—
79C2×C4⋊C4×C31—21no—
80C2×C4⋊C4×C31—21no—
81C2×C4⋊C4×C31C2311yescharacteristic
82C2×C4⋊C4×C31C2311yescharacteristic
83C2×C4⋊C4×C31C2311yescharacteristic
84C2×C4⋊C4×C31C2311yescharacteristic
85C2×C4⋊C4×C31C2311yescharacteristic
86C2×C4⋊C4×C31C2311yescharacteristic
87C2×C22⋊C4×C31—21no—
88C2×C22⋊C4×C31—21no—
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×C22⋊C4×C31—21no—
96C2×C42×C31—21no—
97C2×C42×C31—21no—
98C2×C42×C31—21no—
99C2×C42×C31—44no—
100C2×C42×C31D411yescharacteristic
101C2×C42×C31D411yescharacteristic
102C2×C42×C31D411yescharacteristic
103C2×C42×C31D411yescharacteristic
104C2×C42×C31C2311yescharacteristic
105C2×C42×C31C2311yescharacteristic
106C2×C42×C31C2311yescharacteristic
107C31×#107—22no—
108C31×#106—22no—
109C31×#106—22no—
110C31×#102—22no—
111C31×#102—22no—
112C31×#102—22no—
113C31×#102—22no—
114C31×#102—22no—
115C31×#102—22no—
116C31×#95—21no—
117C31×#95—21no—
118C31×#95—21no—
119C31×#95—21no—
120C31×#95—21no—
121C31×#95—21no—
122C24×C31—21no—
123C24×C31—21no—
124C2×D4×C31—21no—
125C2×D4×C31—21no—
126C2×D4×C31—21no—
127C2×D4×C31—21no—
128C2×D4×C31—21no—
129C2×D4×C31—21no—
130C2×D4×C31—21no—
131C2×D4×C31—21no—
132C2×D4×C31—21no—
133C2×D4×C31#4112yes—
134C2×D4×C31#4112yes—
135C2×D4×C31#4112yes—
136C22×C4×C31—24no—
137C22×C4×C31—24no—
138C22×C4×C31—24no—
139C22×C4×C31—21no—
140C22×C4×C31—21no—
141C22×C4×C31—21no—
142C22×C4×C31—21no—
143C22×C4×C31—21no—
144C22×C4×C31—21no—
145C22×C4×C31—42no—
146C22×C4×C31—42no—
147C22×C4×C31—42no—
148C22×C4×C31—42no—
149C22×C4×C31—42no—
150C22×C4×C31—42no—
151C22×C4×C31C2×D411yescharacteristic
152C22×C4×C31C2×D411yescharacteristic
153C22×C4×C31C2×D411yescharacteristic
154C22×C4×C31C2×D411yescharacteristic
155C22×C4×C31C2×D411yescharacteristic
156C22×C4×C31C2×D411yescharacteristic
157C22×C4×C31C2411yescharacteristic
158D8×C31—44no—
159C2×C8×C31—21no—
160C2×C8×C31—21no—
161C2×C8×C31—21no—
162C2×C8×C31—21no—
163C2×C8×C31—21no—
164C2×C8×C31—21no—
165C2×C8×C31—21no—
166C2×C8×C31—21no—
167C2×C8×C31—21no—
168C2×C8×C31—21no—
169C2×C8×C31—21no—
170C2×C8×C31—21no—
171C4⋊C4×C31—21no—
172C4⋊C4×C31—21no—
173C4⋊C4×C31—21no—
174C4⋊C4×C31—21no—
175C4⋊C4×C31—21no—
176C4⋊C4×C31—21no—
177C4⋊C4×C31—21no—
178C4⋊C4×C31—21no—
179C4⋊C4×C31—21no—
180C4⋊C4×C31—42no—
181C4⋊C4×C31—42no—
182C4⋊C4×C31—42no—
183C4⋊C4×C31#4112yes—
184C4⋊C4×C31#4112yes—
185C4⋊C4×C31#4112yes—
186C22⋊C4×C31—24no—
187C22⋊C4×C31—24no—
188C22⋊C4×C31—24no—
189C22⋊C4×C31—42no—
190C22⋊C4×C31—42no—
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—21no—
199C42×C31—21no—
200C42×C31—21no—
201C42×C31—21no—
202C42×C31—21no—
203C42×C31—21no—
204C42×C31—41no—
205C42×C31—42no—
206C42×C31—42no—
207C42×C31—42no—
208#33080C3111yesmaximal, characteristic, direct product factor, Sylow
209C23×C31—22no—
210C23×C31—22no—
211C23×C31—22no—
212C23×C31—41no—
213C23×C31—41no—
214C23×C31—41no—
215C23×C31—41no—
216C23×C31—41no—
217C23×C31—41no—
218C23×C31—41no—
219C23×C31—41no—
220C23×C31—41no—
221C23×C31—41no—
222C23×C31—41no—
223C23×C31C22×D411yescharacteristic
224D4×C31—22no—
225D4×C31—22no—
226D4×C31—22no—
227D4×C31—41no—
228D4×C31—41no—
229D4×C31—41no—
230D4×C31—41no—
231D4×C31#12614yescomplemented
232C2×C4×C31—21no—
233C2×C4×C31—21no—
234C2×C4×C31—21no—
235C2×C4×C31—21no—
236C2×C4×C31—21no—
237C2×C4×C31—21no—
238C2×C4×C31—21no—
239C2×C4×C31—21no—
240C2×C4×C31—21no—
241C2×C4×C31—22no—
242C2×C4×C31—22no—
243C2×C4×C31—22no—
244C2×C4×C31—21no—
245C2×C4×C31—21no—
246C2×C4×C31—21no—
247C2×C4×C31—21no—
248C2×C4×C31—21no—
249C2×C4×C31—21no—
250C2×C4×C31—48no—
251C2×C4×C31—48no—
252C2×C4×C31—48no—
253C2×C4×C31—41no—
254C2×C4×C31—41no—
255C2×C4×C31—41no—
256C2×C4×C31—41no—
257C2×C4×C31—41no—
258C2×C4×C31—41no—
259C2×C4×C31—41no—
260C2×C4×C31—41no—
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#13512yes—
269C2×C4×C31AGL(1,ℤ/8)12yes—
270C2×C4×C31AGL(1,ℤ/8)12yes—
271C2×C4×C31C2×#4111yescharacteristic
272C2×C4×C31C2×#4111yescharacteristic
273C2×C4×C31C2×#4111yescharacteristic
274C2×C4×C31C2×#4111yescharacteristic
275C2×C4×C31C2×#4111yescharacteristic
276C2×C4×C31C2×#4111yescharacteristic
277C8×C31—41no—
278C8×C31—41no—
279C8×C31—41no—
280C8×C31—41no—
281#2860C2×C3111yescharacteristic, complemented
282C42×D4C2×C3111yescharacteristic, complemented
283#1926C2×C3111yescharacteristic, complemented
284#1926C2×C3111yescharacteristic, complemented
285#1925C2×C3111yescharacteristic, complemented
286#1921C2×C3111yescharacteristic, complemented
287#1920C2×C3111yescharacteristic, complemented
288#1919C2×C3111yescharacteristic, complemented
289#1879C2×C3111yescharacteristic
290#1879C2×C3111yescharacteristic
291#1879C2×C3111yescharacteristic
292#1864C2×C3111yescharacteristic, complemented
293#1864C2×C3111yescharacteristic, complemented
294#1862C2×C3111yescharacteristic, complemented
295#1839C2×C3111yescharacteristic, complemented
296C22×C31—24no—
297C22×C31—42no—
298C22×C31—42no—
299C22×C31—42no—
300C22×C31—42no—
301C22×C31—42no—
302C22×C31—42no—
303C22×C31—81no—
304C22×C31—81no—
305C22×C31—81no—
306C22×C31—81no—
307C22×C31—81no—
308C22×C31—81no—
309C22×C31—81no—
310C22×C31#52511yescharacteristic
311C22×C31#52511yescharacteristic
312C22×C31#52511yescharacteristic
313C22×C31C2×#13511yescharacteristic
314C22×C31C2×AGL(1,ℤ/8)11yescharacteristic
315C22×C31C2×AGL(1,ℤ/8)11yescharacteristic
316C22×C31#57511yescharacteristic
317C4×C31—22no—
318C4×C31—22no—
319C4×C31—22no—
320C4×C31—41no—
321C4×C31—42no—
322C4×C31—41no—
323C4×C31—42no—
324C4×C31—42no—
325C4×C31—41no—
326C4×C31—81no—
327C4×C31—81no—
328C4×C31—81no—
329C4×C31C2×#12611yescharacteristic
330C4×C31#52911yescharacteristic
331C4×C31#52911yescharacteristic
332C4×C31#52911yescharacteristic
333C22×D8C22×C3111yescharacteristic
334C2×#126—21no—
335C2×C4×D4C22×C3111yescharacteristic
336C2×C4×D4C22×C3111yescharacteristic
337C2×C4×D4C22×C3111yescharacteristic
338C22×C42—21no—
339C2×#107C22×C3111yescharacteristic
340C2×#106C22×C3111yescharacteristic
341C2×#106C22×C3111yescharacteristic
342C2×#102C22×C3111yescharacteristic
343C2×#102C22×C3111yescharacteristic
344C2×#102C22×C3111yescharacteristic
345C2×#102C22×C3111yescharacteristic
346C2×#102C22×C3111yescharacteristic
347C2×#102C22×C3111yescharacteristic
348#390C22×C3111yescharacteristic
349#390C22×C3111yescharacteristic
350#390C22×C3111yescharacteristic
351#389C22×C3111yescharacteristic
352#389C22×C3111yescharacteristic
353#389C22×C3111yescharacteristic
354#388—21no—
355#388—21no—
356#388—21no—
357C4×C4⋊C4C22×C3111yescharacteristic
358C4×C4⋊C4C22×C3111yescharacteristic
359C4×C4⋊C4C22×C3111yescharacteristic
360C4×C22⋊C4—21no—
361C4×C22⋊C4—21no—
362C4×C22⋊C4—21no—
363C43C22×C3111yescharacteristic
364#340C22×C3111yescharacteristic
365#340C22×C3111yescharacteristic
366#340C22×C3111yescharacteristic
367#340C22×C3111yescharacteristic
368#340C22×C3111yescharacteristic
369#340C22×C3111yescharacteristic
370#336C22×C3111yescharacteristic
371#336C22×C3111yescharacteristic
372#336C22×C3111yescharacteristic
373#336C22×C3111yescharacteristic
374#336C22×C3111yescharacteristic
375#336C22×C3111yescharacteristic
376C2×C31—44no—
377C2×C31—161no—
378C2×C31#285211yescharacteristic
379C2×C31#310211yescharacteristic
380C2×C31#310511yescharacteristic
381C2×C31#310611yescharacteristic
382C2×C31#310911yescharacteristic
383C2×C31#311411yescharacteristic
384C2×C31#311511yescharacteristic
385C22×D4C23×C3111yescharacteristic
386C22×D4C23×C3111yescharacteristic
387C23×C4—21no—
388C23×C4—21no—
389C23×C4—21no—
390C2×D8—22no—
391C2×D8—22no—
392C2×D8—22no—
393C22×C8C23×C3111yescharacteristic
394C22×C8C23×C3111yescharacteristic
395C22×C8C23×C3111yescharacteristic
396C22×C8C23×C3111yescharacteristic
397#126—44no—
398C4×D4—22no—
399C4×D4—22no—
400C4×D4—22no—
401C4×D4—22no—
402C4×D4—22no—
403C4×D4—22no—
404C2×C4⋊C4—21no—
405C2×C4⋊C4—21no—
406C2×C4⋊C4—21no—
407C2×C4⋊C4C23×C3111yescharacteristic
408C2×C4⋊C4C23×C3111yescharacteristic
409C2×C4⋊C4C23×C3111yescharacteristic
410C2×C4⋊C4C23×C3111yescharacteristic
411C2×C4⋊C4C23×C3111yescharacteristic
412C2×C4⋊C4C23×C3111yescharacteristic
413C2×C22⋊C4—21no—
414C2×C22⋊C4—21no—
415C2×C22⋊C4—21no—
416C2×C22⋊C4—21no—
417C2×C22⋊C4—21no—
418C2×C22⋊C4—21no—
419C2×C22⋊C4—21no—
420C2×C22⋊C4—21no—
421C2×C22⋊C4—21no—
422C2×C42—21no—
423C2×C42—21no—
424C2×C42—21no—
425C2×C42—44no—
426C2×C42D4×C3111yescharacteristic
427C2×C42D4×C3111yescharacteristic
428C2×C42D4×C3111yescharacteristic
429C2×C42D4×C3111yescharacteristic
430C2×C42C23×C3111yescharacteristic
431C2×C42C23×C3111yescharacteristic
432C2×C42C23×C3111yescharacteristic
433#107—22no—
434#106—22no—
435#106—22no—
436#102—22no—
437#102—22no—
438#102—22no—
439#102—22no—
440#102—22no—
441#102—22no—
442#95—21no—
443#95—21no—
444#95—21no—
445#95—21no—
446#95—21no—
447#95—21no—
448C31#3308011yescharacteristic, direct product factor, Sylow
449C24—21no—
450C24—21no—
451C2×D4—21no—
452C2×D4—21no—
453C2×D4—21no—
454C2×D4—21no—
455C2×D4—21no—
456C2×D4—21no—
457C2×D4—21no—
458C2×D4—21no—
459C2×D4—21no—
460C2×D4#41×C3112yes—
461C2×D4#41×C3112yes—
462C2×D4#41×C3112yes—
463C22×C4—24no—
464C22×C4—24no—
465C22×C4—24no—
466C22×C4—21no—
467C22×C4—21no—
468C22×C4—21no—
469C22×C4—21no—
470C22×C4—21no—
471C22×C4—21no—
472C22×C4—42no—
473C22×C4—42no—
474C22×C4—42no—
475C22×C4—42no—
476C22×C4—42no—
477C22×C4—42no—
478C22×C4C2×D4×C3111yescharacteristic
479C22×C4C2×D4×C3111yescharacteristic
480C22×C4C2×D4×C3111yescharacteristic
481C22×C4C2×D4×C3111yescharacteristic
482C22×C4C2×D4×C3111yescharacteristic
483C22×C4C2×D4×C3111yescharacteristic
484C22×C4C24×C3111yescharacteristic
485D8—44no—
486C2×C8—21no—
487C2×C8—21no—
488C2×C8—21no—
489C2×C8—21no—
490C2×C8—21no—
491C2×C8—21no—
492C2×C8—21no—
493C2×C8—21no—
494C2×C8—21no—
495C2×C8—21no—
496C2×C8—21no—
497C2×C8—21no—
498C4⋊C4—21no—
499C4⋊C4—21no—
500C4⋊C4—21no—
501C4⋊C4—21no—
502C4⋊C4—21no—
503C4⋊C4—21no—
504C4⋊C4—21no—
505C4⋊C4—21no—
506C4⋊C4—21no—
507C4⋊C4—42no—
508C4⋊C4—42no—
509C4⋊C4—42no—
510C4⋊C4#41×C3112yes—
511C4⋊C4#41×C3112yes—
512C4⋊C4#41×C3112yes—
513C22⋊C4—24no—
514C22⋊C4—24no—
515C22⋊C4—24no—
516C22⋊C4—42no—
517C22⋊C4—42no—
518C22⋊C4—42no—
519C22⋊C4—42no—
520C22⋊C4—42no—
521C22⋊C4—42no—
522C42—22no—
523C42—22no—
524C42—22no—
525C42—21no—
526C42—21no—
527C42—21no—
528C42—21no—
529C42—21no—
530C42—21no—
531C42—41no—
532C42—42no—
533C42—42no—
534C42—42no—
535C23—22no—
536C23—22no—
537C23—22no—
538C23—41no—
539C23—41no—
540C23—41no—
541C23—41no—
542C23—41no—
543C23—41no—
544C23—41no—
545C23—41no—
546C23—41no—
547C23—41no—
548C23—41no—
549C23C22×D4×C3111yescharacteristic
550D4—22no—
551D4—22no—
552D4—22no—
553D4—41no—
554D4—41no—
555D4—41no—
556D4—41no—
557D4C31×#12614yescomplemented
558C2×C4—21no—
559C2×C4—21no—
560C2×C4—21no—
561C2×C4—21no—
562C2×C4—21no—
563C2×C4—21no—
564C2×C4—21no—
565C2×C4—21no—
566C2×C4—21no—
567C2×C4—22no—
568C2×C4—22no—
569C2×C4—22no—
570C2×C4—21no—
571C2×C4—21no—
572C2×C4—21no—
573C2×C4—21no—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—48no—
577C2×C4—48no—
578C2×C4—48no—
579C2×C4—41no—
580C2×C4—41no—
581C2×C4—41no—
582C2×C4—41no—
583C2×C4—41no—
584C2×C4—41no—
585C2×C4—41no—
586C2×C4—41no—
587C2×C4—41no—
588C2×C4—41no—
589C2×C4—41no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4C31×#13512yes—
595C2×C4C31×AGL(1,ℤ/8)12yes—
596C2×C4C31×AGL(1,ℤ/8)12yes—
597C2×C4C2×#41×C3111yescharacteristic
598C2×C4C2×#41×C3111yescharacteristic
599C2×C4C2×#41×C3111yescharacteristic
600C2×C4C2×#41×C3111yescharacteristic
601C2×C4C2×#41×C3111yescharacteristic
602C2×C4C2×#41×C3111yescharacteristic
603C8—41no—
604C8—41no—
605C8—41no—
606C8—41no—
607C22—24no—
608C22—42no—
609C22—42no—
610C22—42no—
611C22—42no—
612C22—42no—
613C22—42no—
614C22—81no—
615C22—81no—
616C22—81no—
617C22—81no—
618C22—81no—
619C22—81no—
620C22—81no—
621C22C31×#52511yescharacteristic
622C22C31×#52511yescharacteristic
623C22C31×#52511yescharacteristic
624C22C2×C31×#13511yescharacteristic
625C22C2×C31×AGL(1,ℤ/8)11yescharacteristic
626C22C2×C31×AGL(1,ℤ/8)11yescharacteristic
627C22C31×#57511yescharacteristic
628C4—22no—
629C4—22no—
630C4—22no—
631C4—41no—
632C4—42no—
633C4—41no—
634C4—42no—
635C4—42no—
636C4—41no—
637C4—81no—
638C4—81no—
639C4—81no—
640C4C2×C31×#12611yescharacteristic
641C4C31×#52911yescharacteristic
642C4C31×#52911yescharacteristic
643C4C31×#52911yescharacteristic
644C2—44no—
645C2—161no—
646C2C31×#285211yescharacteristic
647C2C31×#310211yescharacteristic
648C2C31×#310511yescharacteristic
649C2C31×#310611yescharacteristic
650C2C31×#310911yescharacteristic
651C2C31×#311411yescharacteristic
652C2C31×#311511yescharacteristic
subgroupG/H
center, socleC23×C31C22×D4
commutator, Frattini, cosocleC22×C4C24×C31
prime radicalC22×D8×C31C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C31 ◁ C43×C31 ◁ G

Complements

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

NH ≅ G/Ntype
1. C31×#2860C2semidirect
2. C42×D4×C31C2semidirect
3. C31×#1926C2semidirect
4. C31×#1926C2semidirect
5. C31×#1925C2semidirect
6. C31×#1921C2semidirect
7. C31×#1920C2semidirect
8. C31×#1919C2semidirect
12. C31×#1864C2semidirect
13. C31×#1864C2semidirect
14. C31×#1862C2semidirect
15. C31×#1839C2semidirect
208. #33080C31direct (N × H)
231. D4×C31#126semidirect
281. #2860C2×C31semidirect
282. C42×D4C2×C31semidirect
283. #1926C2×C31semidirect
284. #1926C2×C31semidirect
285. #1925C2×C31semidirect
286. #1921C2×C31semidirect
287. #1920C2×C31semidirect
288. #1919C2×C31semidirect
292. #1864C2×C31semidirect
293. #1864C2×C31semidirect
294. #1862C2×C31semidirect
295. #1839C2×C31semidirect
448. C31#33080direct (N × H)
557. D4C31×#126semidirect

Maximal subgroups

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

subgroupindex
C31×#28602
C42×D4×C312
C31×#19262
C31×#19252
C31×#19212
C31×#19202
C31×#19192
C31×#18792
C31×#18642
C31×#18622
C31×#18392
#3308031