Finite Group Databasebeta

← C31×#25205 #21481964

Subgroups — C31×#25205 #21481964

Order 7936.

862 conjugacy classes of subgroups.

The subgroup lattice has 678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C31×#482C211yesmaximal, characteristic
2C2×C31×#465C211yesmaximal, characteristic
3C31×#2499C211yesmaximal, characteristic, complemented
4C31×#2363C211yesmaximal, characteristic
5C31×#2084C211yesmaximal, characteristic, complemented
6C31×#2073C211yesmaximal, characteristic, complemented
7C31×#2068C211yesmaximal, characteristic, complemented
8C31×#2055C211yesmaximal, characteristic, complemented
9C31×#1949C211yesmaximal, characteristic, complemented
10C31×#1927C211yesmaximal, characteristic, complemented
11C31×#1877C211yesmaximal, characteristic, complemented
12C31×#1873C211yesmaximal, characteristic, complemented
13C31×#1850C211yesmaximal, characteristic, complemented
14C31×#1802C211yesmaximal, characteristic, complemented
15C31×#1735C211yesmaximal, characteristic, complemented
16C22×SD16×C31C2211yescharacteristic
17C23×C8×C31C2211yescharacteristic
18C2×C31×C22⋊Q8C2211yescharacteristic
19C2×C31×#121C2211yescharacteristic
20C2×C4×D4×C31C2211yescharacteristic
21C2×C31×#117C2211yescharacteristic
22C2×C31×#117C2211yescharacteristic
23C31×#482—24no—
24C31×#465—24no—
25C2×C31×#107C2211yescharacteristic
26C2×C31×#106C2211yescharacteristic
27C2×C31×#106C2211yescharacteristic
28C2×C31×C4⋊C8C2211yescharacteristic
29C2×C31×C4⋊C8C2211yescharacteristic
30C2×C31×#103C2211yescharacteristic
31C2×C31×#103C2211yescharacteristic
32C2×C31×#103C2211yescharacteristic
33C2×C31×#102C2211yescharacteristic
34C2×C31×#102C2211yescharacteristic
35C2×C31×#102C2211yescharacteristic
36C2×C31×C22⋊C8C2211yescharacteristic
37C31×#397—21no—
38C31×#397—21no—
39C31×#391C2211yescharacteristic
40C31×#391C2211yescharacteristic
41C31×#390—21no—
42C31×#390C2211yescharacteristic
43C31×#389C2211yescharacteristic
44C31×#388—21no—
45C31×#387—21no—
46C31×#387—21no—
47C31×#386—21no—
48C31×#384C2211yescharacteristic
49C31×#382C2211yescharacteristic
50C4×C4⋊C4×C31C2211yescharacteristic
51C4×C22⋊C4×C31—21no—
52C4×C22⋊C4×C31C2211yescharacteristic
53C31×#340C2211yescharacteristic
54C31×#340C2211yescharacteristic
55C31×#340C2211yescharacteristic
56C31×#340C2211yescharacteristic
57C31×#340C2211yescharacteristic
58C31×#340C2211yescharacteristic
59C31×#336C2211yescharacteristic
60C31×#336C2211yescharacteristic
61C22×Q8×C31C2311yescharacteristic
62C22×D4×C31—21no—
63C22×D4×C31C2311yescharacteristic
64C23×C4×C31—21no—
65C23×C4×C31C2311yescharacteristic
66C2×SD16×C31—22no—
67C2×SD16×C31—22no—
68C2×SD16×C31—41no—
69C22×C8×C31—22no—
70C22×C8×C31—22no—
71C22×C8×C31—41no—
72C22×C8×C31C2311yescharacteristic
73C22×C8×C31C2311yescharacteristic
74C22×C8×C31C2311yescharacteristic
75C22×C8×C31C2311yescharacteristic
76C31×C22⋊Q8—22no—
77C31×C22⋊Q8—22no—
78C31×#121—22no—
79C31×#121D414yes—
80C4×D4×C31—22no—
81C4×D4×C31—41no—
82C31×#117—22no—
83C31×#117—22no—
84C31×#117—22no—
85C31×#117—41no—
86C2×C4⋊C4×C31—21no—
87C2×C4⋊C4×C31—21no—
88C2×C4⋊C4×C31—21no—
89C2×C4⋊C4×C31—21no—
90C2×C4⋊C4×C31C2311yescharacteristic
91C2×C4⋊C4×C31C2311yescharacteristic
92C2×C4⋊C4×C31C2311yescharacteristic
93C2×C4⋊C4×C31C2311yescharacteristic
94C2×C4⋊C4×C31C2311yescharacteristic
95C2×C4⋊C4×C31C2311yescharacteristic
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—21no—
103C2×C22⋊C4×C31D411yescharacteristic
104C2×C22⋊C4×C31D411yescharacteristic
105C2×C42×C31—21no—
106C2×C42×C31—21no—
107C2×C42×C31—21no—
108C2×C42×C31C2311yescharacteristic
109C2×C42×C31C2311yescharacteristic
110C31×#107—22no—
111C31×#106—22no—
112C31×#106—22no—
113C31×C4⋊C8—22no—
114C31×C4⋊C8—41no—
115C31×#103—22no—
116C31×#103—22no—
117C31×#103—41no—
118C31×#102—22no—
119C31×#102—22no—
120C31×#102—22no—
121C31×C22⋊C8—22no—
122C31×#95—21no—
123C31×#95—21no—
124C31×#95—21no—
125C31×#95—21no—
126C31×#95—21no—
127C31×#95—21no—
128C31×#95—21no—
129C31×#95—21no—
130C31×#95D411yescharacteristic
131C31×#95D411yescharacteristic
132C24×C31—21no—
133C24×C31C2×D411yescharacteristic
134C2×Q8×C31—21no—
135C2×Q8×C31—21no—
136C2×Q8×C31—21no—
137C2×Q8×C31—21no—
138C2×Q8×C31—21no—
139C2×Q8×C31—21no—
140C2×D4×C31—24no—
141C2×D4×C31—21no—
142C2×D4×C31—21no—
143C2×D4×C31—21no—
144C2×D4×C31—21no—
145C2×D4×C31—21no—
146C2×D4×C31—81no—
147C2×D4×C31—81no—
148C2×D4×C31C2×D412yes—
149C22×C4×C31—21no—
150C22×C4×C31—21no—
151C22×C4×C31—21no—
152C22×C4×C31—21no—
153C22×C4×C31—21no—
154C22×C4×C31—21no—
155C22×C4×C31—21no—
156C22×C4×C31—21no—
157C22×C4×C31—21no—
158C22×C4×C31—21no—
159C22×C4×C31—21no—
160C22×C4×C31—42no—
161C22×C4×C31—42no—
162C22×C4×C31—81no—
163C22×C4×C31C2×D411yescharacteristic
164C22×C4×C31C2×D411yescharacteristic
165C22×C4×C31C2×D411yescharacteristic
166C22×C4×C31C2×D411yescharacteristic
167C22×C4×C31C2×D412yes—
168C22×C4×C31C2×D411yescharacteristic
169C22×C4×C31#4112yes—
170C22×C4×C31C2411yescharacteristic
171SD16×C31—44no—
172C2×C8×C31—21no—
173C2×C8×C31—21no—
174C2×C8×C31—21no—
175C2×C8×C31—21no—
176C2×C8×C31—21no—
177C2×C8×C31—21no—
178C2×C8×C31—21no—
179C2×C8×C31—21no—
180C2×C8×C31—21no—
181C2×C8×C31—21no—
182C2×C8×C31—21no—
183C2×C8×C31—44no—
184C2×C8×C31#4112yes—
185C4⋊C4×C31—21no—
186C4⋊C4×C31—21no—
187C4⋊C4×C31—21no—
188C4⋊C4×C31—21no—
189C4⋊C4×C31—21no—
190C4⋊C4×C31—21no—
191C4⋊C4×C31—21no—
192C4⋊C4×C31—21no—
193C4⋊C4×C31—21no—
194C4⋊C4×C31—21no—
195C4⋊C4×C31—42no—
196C4⋊C4×C31—42no—
197C4⋊C4×C31—42no—
198C4⋊C4×C31—81no—
199C4⋊C4×C31C2×D412yes—
200C4⋊C4×C31#4112yes—
201C22⋊C4×C31—24no—
202C22⋊C4×C31—22no—
203C22⋊C4×C31—41no—
204C22⋊C4×C31—42no—
205C22⋊C4×C31—42no—
206C22⋊C4×C31—42no—
207C22⋊C4×C31—42no—
208C22⋊C4×C31—42no—
209C22⋊C4×C31—81no—
210C42×C31—21no—
211C42×C31—21no—
212C42×C31—21no—
213C42×C31—21no—
214C42×C31—42no—
215C42×C31—42no—
216C42×C31—81no—
217#25205C3111yesmaximal, characteristic, direct product factor, Sylow
218C23×C31—21no—
219C23×C31—21no—
220C23×C31—21no—
221C23×C31—21no—
222C23×C31—21no—
223C23×C31—21no—
224C23×C31—22no—
225C23×C31—41no—
226C23×C31—41no—
227C23×C31—41no—
228C23×C31—41no—
229C23×C31—41no—
230C23×C31—41no—
231C23×C31#12112yes—
232C23×C31C22×D411yescharacteristic
233Q8×C31—41no—
234Q8×C31—41no—
235Q8×C31—41no—
236Q8×C31—41no—
237D4×C31—22no—
238D4×C31—22no—
239D4×C31—41no—
240D4×C31—41no—
241D4×C31—84no—
242C2×C4×C31—21no—
243C2×C4×C31—21no—
244C2×C4×C31—21no—
245C2×C4×C31—21no—
246C2×C4×C31—22no—
247C2×C4×C31—22no—
248C2×C4×C31—22no—
249C2×C4×C31—22no—
250C2×C4×C31—22no—
251C2×C4×C31—21no—
252C2×C4×C31—22no—
253C2×C4×C31—21no—
254C2×C4×C31—21no—
255C2×C4×C31—21no—
256C2×C4×C31—21no—
257C2×C4×C31—21no—
258C2×C4×C31—21no—
259C2×C4×C31—21no—
260C2×C4×C31—21no—
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—41no—
269C2×C4×C31—41no—
270C2×C4×C31—41no—
271C2×C4×C31—41no—
272C2×C4×C31—41no—
273C2×C4×C31—41no—
274C2×C4×C31—41no—
275C2×C4×C31—41no—
276C2×C4×C31—41no—
277C2×C4×C31—41no—
278C2×C4×C31—41no—
279C2×C4×C31—41no—
280C2×C4×C31—84no—
281C2×C4×C31#12112yes—
282C2×C4×C31#13512yes—
283C2×C4×C31C22×D411yescharacteristic
284C2×C4×C31C2×#4111yescharacteristic
285C2×C4×C31C2×#4111yescharacteristic
286C2×C4×C31C2×#4111yescharacteristic
287C2×C4×C31H(5,𝔽2)11yescharacteristic
288C2×C4×C312−1+411yescharacteristic
289C8×C31—22no—
290C8×C31—41no—
291C8×C31—41no—
292C8×C31—41no—
293C2×#482C2×C3111yescharacteristic
294C2×#465C2×C3111yescharacteristic
295#2499C2×C3111yescharacteristic, complemented
296#2363C2×C3111yescharacteristic
297#2084C2×C3111yescharacteristic, complemented
298#2073C2×C3111yescharacteristic, complemented
299#2068C2×C3111yescharacteristic, complemented
300#2055C2×C3111yescharacteristic, complemented
301#1949C2×C3111yescharacteristic, complemented
302#1927C2×C3111yescharacteristic, complemented
303#1877C2×C3111yescharacteristic, complemented
304#1873C2×C3111yescharacteristic, complemented
305#1850C2×C3111yescharacteristic, complemented
306#1802C2×C3111yescharacteristic, complemented
307#1735C2×C3111yescharacteristic, complemented
308C22×C31—22no—
309C22×C31—22no—
310C22×C31—22no—
311C22×C31—41no—
312C22×C31—41no—
313C22×C31—41no—
314C22×C31—41no—
315C22×C31—42no—
316C22×C31—42no—
317C22×C31—42no—
318C22×C31—81no—
319C22×C31—81no—
320C22×C31—81no—
321C22×C31—81no—
322C22×C31C2×#12111yescharacteristic
323C22×C31#54611yescharacteristic
324C22×C31#54711yescharacteristic
325C22×C31C2×#13511yescharacteristic
326C22×C31#57511yescharacteristic
327C22×C31#57711yescharacteristic
328C22×C31#57711yescharacteristic
329C4×C31—22no—
330C4×C31—22no—
331C4×C31—41no—
332C4×C31—41no—
333C4×C31—42no—
334C4×C31—42no—
335C4×C31—41no—
336C4×C31—81no—
337C4×C31—81no—
338C4×C31—81no—
339C4×C31—81no—
340C4×C31—81no—
341C4×C31#52911yescharacteristic
342C4×C31#53911yescharacteristic
343C4×C31#54611yescharacteristic
344C4×C31#54711yescharacteristic
345C22×SD16C22×C3111yescharacteristic
346C23×C8C22×C3111yescharacteristic
347C2×C22⋊Q8C22×C3111yescharacteristic
348C2×#121C22×C3111yescharacteristic
349C2×C4×D4C22×C3111yescharacteristic
350C2×#117C22×C3111yescharacteristic
351C2×#117C22×C3111yescharacteristic
352#482—24no—
353#465—24no—
354C2×#107C22×C3111yescharacteristic
355C2×#106C22×C3111yescharacteristic
356C2×#106C22×C3111yescharacteristic
357C2×C4⋊C8C22×C3111yescharacteristic
358C2×C4⋊C8C22×C3111yescharacteristic
359C2×#103C22×C3111yescharacteristic
360C2×#103C22×C3111yescharacteristic
361C2×#103C22×C3111yescharacteristic
362C2×#102C22×C3111yescharacteristic
363C2×#102C22×C3111yescharacteristic
364C2×#102C22×C3111yescharacteristic
365C2×C22⋊C8C22×C3111yescharacteristic
366#397—21no—
367#397—21no—
368#391C22×C3111yescharacteristic
369#391C22×C3111yescharacteristic
370#390—21no—
371#390C22×C3111yescharacteristic
372#389C22×C3111yescharacteristic
373#388—21no—
374#387—21no—
375#387—21no—
376#386—21no—
377#384C22×C3111yescharacteristic
378#382C22×C3111yescharacteristic
379C4×C4⋊C4C22×C3111yescharacteristic
380C4×C22⋊C4—21no—
381C4×C22⋊C4C22×C3111yescharacteristic
382#340C22×C3111yescharacteristic
383#340C22×C3111yescharacteristic
384#340C22×C3111yescharacteristic
385#340C22×C3111yescharacteristic
386#340C22×C3111yescharacteristic
387#340C22×C3111yescharacteristic
388#336C22×C3111yescharacteristic
389#336C22×C3111yescharacteristic
390C2×C31—42no—
391C2×C31—82no—
392C2×C31#242511yescharacteristic
393C2×C31#303511yescharacteristic
394C2×C31#304211yescharacteristic
395C2×C31#329611yescharacteristic
396C2×C31#331711yescharacteristic
397C2×C31#334011yescharacteristic
398C2×C31#335011yescharacteristic
399C22×Q8C23×C3111yescharacteristic
400C22×D4—21no—
401C22×D4C23×C3111yescharacteristic
402C23×C4—21no—
403C23×C4C23×C3111yescharacteristic
404C2×SD16—22no—
405C2×SD16—22no—
406C2×SD16—41no—
407C22×C8—22no—
408C22×C8—22no—
409C22×C8—41no—
410C22×C8C23×C3111yescharacteristic
411C22×C8C23×C3111yescharacteristic
412C22×C8C23×C3111yescharacteristic
413C22×C8C23×C3111yescharacteristic
414C22⋊Q8—22no—
415C22⋊Q8—22no—
416#121—22no—
417#121D4×C3114yes—
418C4×D4—22no—
419C4×D4—41no—
420#117—22no—
421#117—22no—
422#117—22no—
423#117—41no—
424C2×C4⋊C4—21no—
425C2×C4⋊C4—21no—
426C2×C4⋊C4—21no—
427C2×C4⋊C4—21no—
428C2×C4⋊C4C23×C3111yescharacteristic
429C2×C4⋊C4C23×C3111yescharacteristic
430C2×C4⋊C4C23×C3111yescharacteristic
431C2×C4⋊C4C23×C3111yescharacteristic
432C2×C4⋊C4C23×C3111yescharacteristic
433C2×C4⋊C4C23×C3111yescharacteristic
434C2×C22⋊C4—21no—
435C2×C22⋊C4—21no—
436C2×C22⋊C4—21no—
437C2×C22⋊C4—21no—
438C2×C22⋊C4—21no—
439C2×C22⋊C4—21no—
440C2×C22⋊C4—21no—
441C2×C22⋊C4D4×C3111yescharacteristic
442C2×C22⋊C4D4×C3111yescharacteristic
443C2×C42—21no—
444C2×C42—21no—
445C2×C42—21no—
446C2×C42C23×C3111yescharacteristic
447C2×C42C23×C3111yescharacteristic
448#107—22no—
449#106—22no—
450#106—22no—
451C4⋊C8—22no—
452C4⋊C8—41no—
453#103—22no—
454#103—22no—
455#103—41no—
456#102—22no—
457#102—22no—
458#102—22no—
459C22⋊C8—22no—
460#95—21no—
461#95—21no—
462#95—21no—
463#95—21no—
464#95—21no—
465#95—21no—
466#95—21no—
467#95—21no—
468#95D4×C3111yescharacteristic
469#95D4×C3111yescharacteristic
470C31#2520511yescharacteristic, direct product factor, Sylow
471C24—21no—
472C24C2×D4×C3111yescharacteristic
473C2×Q8—21no—
474C2×Q8—21no—
475C2×Q8—21no—
476C2×Q8—21no—
477C2×Q8—21no—
478C2×Q8—21no—
479C2×D4—24no—
480C2×D4—21no—
481C2×D4—21no—
482C2×D4—21no—
483C2×D4—21no—
484C2×D4—21no—
485C2×D4—81no—
486C2×D4—81no—
487C2×D4C2×D4×C3112yes—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—21no—
495C22×C4—21no—
496C22×C4—21no—
497C22×C4—21no—
498C22×C4—21no—
499C22×C4—42no—
500C22×C4—42no—
501C22×C4—81no—
502C22×C4C2×D4×C3111yescharacteristic
503C22×C4C2×D4×C3111yescharacteristic
504C22×C4C2×D4×C3111yescharacteristic
505C22×C4C2×D4×C3111yescharacteristic
506C22×C4C2×D4×C3112yes—
507C22×C4C2×D4×C3111yescharacteristic
508C22×C4#41×C3112yes—
509C22×C4C24×C3111yescharacteristic
510SD16—44no—
511C2×C8—21no—
512C2×C8—21no—
513C2×C8—21no—
514C2×C8—21no—
515C2×C8—21no—
516C2×C8—21no—
517C2×C8—21no—
518C2×C8—21no—
519C2×C8—21no—
520C2×C8—21no—
521C2×C8—21no—
522C2×C8—44no—
523C2×C8#41×C3112yes—
524C4⋊C4—21no—
525C4⋊C4—21no—
526C4⋊C4—21no—
527C4⋊C4—21no—
528C4⋊C4—21no—
529C4⋊C4—21no—
530C4⋊C4—21no—
531C4⋊C4—21no—
532C4⋊C4—21no—
533C4⋊C4—21no—
534C4⋊C4—42no—
535C4⋊C4—42no—
536C4⋊C4—42no—
537C4⋊C4—81no—
538C4⋊C4C2×D4×C3112yes—
539C4⋊C4#41×C3112yes—
540C22⋊C4—24no—
541C22⋊C4—22no—
542C22⋊C4—41no—
543C22⋊C4—42no—
544C22⋊C4—42no—
545C22⋊C4—42no—
546C22⋊C4—42no—
547C22⋊C4—42no—
548C22⋊C4—81no—
549C42—21no—
550C42—21no—
551C42—21no—
552C42—21no—
553C42—42no—
554C42—42no—
555C42—81no—
556C23—21no—
557C23—21no—
558C23—21no—
559C23—21no—
560C23—21no—
561C23—21no—
562C23—22no—
563C23—41no—
564C23—41no—
565C23—41no—
566C23—41no—
567C23—41no—
568C23—41no—
569C23C31×#12112yes—
570C23C22×D4×C3111yescharacteristic
571Q8—41no—
572Q8—41no—
573Q8—41no—
574Q8—41no—
575D4—22no—
576D4—22no—
577D4—41no—
578D4—41no—
579D4—84no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—22no—
585C2×C4—22no—
586C2×C4—22no—
587C2×C4—22no—
588C2×C4—22no—
589C2×C4—21no—
590C2×C4—22no—
591C2×C4—21no—
592C2×C4—21no—
593C2×C4—21no—
594C2×C4—21no—
595C2×C4—21no—
596C2×C4—21no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—41no—
600C2×C4—41no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4—41no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—41no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—84no—
619C2×C4C31×#12112yes—
620C2×C4C31×#13512yes—
621C2×C4C22×D4×C3111yescharacteristic
622C2×C4C2×#41×C3111yescharacteristic
623C2×C4C2×#41×C3111yescharacteristic
624C2×C4C2×#41×C3111yescharacteristic
625C2×C4C31×H(5,𝔽2)11yescharacteristic
626C2×C4C31×2−1+411yescharacteristic
627C8—22no—
628C8—41no—
629C8—41no—
630C8—41no—
631C22—22no—
632C22—22no—
633C22—22no—
634C22—41no—
635C22—41no—
636C22—41no—
637C22—41no—
638C22—42no—
639C22—42no—
640C22—42no—
641C22—81no—
642C22—81no—
643C22—81no—
644C22—81no—
645C22C2×C31×#12111yescharacteristic
646C22C31×#54611yescharacteristic
647C22C31×#54711yescharacteristic
648C22C2×C31×#13511yescharacteristic
649C22C31×#57511yescharacteristic
650C22C31×#57711yescharacteristic
651C22C31×#57711yescharacteristic
652C4—22no—
653C4—22no—
654C4—41no—
655C4—41no—
656C4—42no—
657C4—42no—
658C4—41no—
659C4—81no—
660C4—81no—
661C4—81no—
662C4—81no—
663C4—81no—
664C4C31×#52911yescharacteristic
665C4C31×#53911yescharacteristic
666C4C31×#54611yescharacteristic
667C4C31×#54711yescharacteristic
668C2—42no—
669C2—82no—
670C2C31×#242511yescharacteristic
671C2C31×#303511yescharacteristic
672C2C31×#304211yescharacteristic
673C2C31×#329611yescharacteristic
674C2C31×#331711yescharacteristic
675C2C31×#334011yescharacteristic
676C2C31×#335011yescharacteristic
subgroupG/H
center, socleC23×C31C22×D4
commutator, Frattini, cosocleC22×C4C24×C31
prime radicalC2×C31×#121C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C31 ◁ C4×C22⋊C4×C31 ◁ G

Complements

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

NH ≅ G/Ntype
3. C31×#2499C2semidirect
5. C31×#2084C2semidirect
6. C31×#2073C2semidirect
7. C31×#2068C2semidirect
8. C31×#2055C2semidirect
9. C31×#1949C2semidirect
10. C31×#1927C2semidirect
11. C31×#1877C2semidirect
12. C31×#1873C2semidirect
13. C31×#1850C2semidirect
14. C31×#1802C2semidirect
15. C31×#1735C2semidirect
217. #25205C31direct (N × H)
295. #2499C2×C31semidirect
297. #2084C2×C31semidirect
298. #2073C2×C31semidirect
299. #2068C2×C31semidirect
300. #2055C2×C31semidirect
301. #1949C2×C31semidirect
302. #1927C2×C31semidirect
303. #1877C2×C31semidirect
304. #1873C2×C31semidirect
305. #1850C2×C31semidirect
306. #1802C2×C31semidirect
307. #1735C2×C31semidirect
470. C31#25205direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C31×#4822
C2×C31×#4652
C31×#24992
C31×#23632
C31×#20842
C31×#20732
C31×#20682
C31×#20552
C31×#19492
C31×#19272
C31×#18772
C31×#18732
C31×#18502
C31×#18022
C31×#17352
#2520531