Finite Group Databasebeta

← C31×#18425 #21475184

Subgroups — C31×#18425 #21475184

Order 7936.

994 conjugacy classes of subgroups.

The subgroup lattice has 702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C31×#3536C211yesmaximal, characteristic
2C31×#3193C211yesmaximal, characteristic, complemented
3C31×#3190C211yesmaximal, characteristic, complemented
4C31×#2659C211yesmaximal, characteristic, complemented
5C31×#1610C212yesmaximal, complemented
6C31×#1609C212yesmaximal, complemented
7C31×#1604C212yesmaximal, complemented
8C31×#1603C212yesmaximal, complemented
9C31×#1504C211yesmaximal, characteristic, complemented
10C2×C31×#327C211yesmaximal, characteristic, complemented
11C31×#1472C211yesmaximal, characteristic, complemented
12C31×#562—22no—
13C31×#554—21no—
14C31×#548—21no—
15C31×#547—21no—
16C31×#546—21no—
17C31×#546—22no—
18C31×#543—21no—
19C31×#542—21no—
20C31×#539C2212yes—
21C31×#538—21no—
22C31×#537—21no—
23C31×#537C2212yes—
24C31×#525C2211yescharacteristic
25C2×C31×C22⋊Q8C2211yescharacteristic
26C2×C31×C22⋊Q8C2211yescharacteristic
27C2×C31×#121C2211yescharacteristic
28C31×#485—21no—
29C31×#484—21no—
30C31×#483C2211yescharacteristic, complemented
31C31×#480C2212yes—
32C31×#480C2211yescharacteristic, complemented
33C31×#468—22no—
34C31×#467—21no—
35C31×#465—21no—
36C31×#452—21no—
37C31×#451C2211yescharacteristic, complemented
38C31×#450—21no—
39C31×#448C2212yes—
40C31×#448C2211yescharacteristic, complemented
41C31×#407C2211yescharacteristic
42C2×C31×C22⋊C8C2211yescharacteristic
43C31×#398—21no—
44C31×#398C2212yescomplemented
45C31×#395—21no—
46C31×#395C2212yescomplemented
47C31×#380—22no—
48C2×C31×#95C2211yescharacteristic
49C31×#328C2212yescomplemented
50C31×#327C2212yes—
51C31×#327C2212yes—
52C31×#327C2212yescomplemented
53C31×#324C2212yescomplemented
54C31×#324C2212yescomplemented
55C2×#41×C31—21no—
56C2×#41×C31—22no—
57C2×#41×C31D411yescharacteristic
58C22×Q8×C31D411yescharacteristic
59C22×Q8×C31C2311yescharacteristic
60C22×D4×C31—21no—
61C22×D4×C31D411yescharacteristic
62C23×C4×C31—21no—
63C23×C4×C31C2311yescharacteristic
64C2×Q16×C31—21no—
65C2×SD16×C31—22no—
66C2×SD16×C31—21no—
67C2×M16×C31—21no—
68C22×C8×C31—21no—
69C31×C4⋊Q8—21no—
70C31×#126—22no—
71C31×#125—22no—
72C31×#124—22no—
73C31×#124—21no—
74C31×#124—22no—
75C31×#123—22no—
76C31×#123—22no—
77C31×#123—22no—
78C31×#123—21no—
79C31×#123—22no—
80C31×C22⋊Q8—21no—
81C31×C22⋊Q8—22no—
82C31×C22⋊Q8—22no—
83C31×C22⋊Q8—22no—
84C31×C22⋊Q8—22no—
85C31×C22⋊Q8—21no—
86C31×C22⋊Q8—21no—
87C31×C22⋊Q8—21no—
88C31×C22⋊Q8—21no—
89C31×C22⋊Q8—22no—
90C31×C22⋊Q8—22no—
91C31×C22⋊Q8—21no—
92C31×C22⋊Q8—21no—
93C31×C22⋊Q8—21no—
94C31×C22⋊Q8—21no—
95C31×C22⋊Q8D411yescharacteristic
96C31×C22⋊Q8C2311yescharacteristic
97C31×#121—21no—
98C31×#121—22no—
99C31×#121—22no—
100C31×#121—22no—
101C31×#121—22no—
102C31×#121—21no—
103C31×#121—21no—
104C31×#121—22no—
105C31×#121D411yescharacteristic
106C31×#121D412yes—
107C31×#121C2312yes—
108C31×#121C2311yescharacteristic
109C31×#120—22no—
110C31×#120—21no—
111C4×Q8×C31—21no—
112C4×D4×C31—22no—
113C4×D4×C31—21no—
114C4×D4×C31—21no—
115C4×D4×C31—21no—
116C4×D4×C31—22no—
117C31×#117D411yescharacteristic
118C2×C4⋊C4×C31—21no—
119C2×C4⋊C4×C31—21no—
120C2×C4⋊C4×C31—22no—
121C2×C4⋊C4×C31—22no—
122C2×C4⋊C4×C31D411yescharacteristic
123C2×C4⋊C4×C31D411yescharacteristic
124C2×C4⋊C4×C31C2311yescharacteristic
125C2×C4⋊C4×C31C2312yes—
126C2×C22⋊C4×C31—22no—
127C2×C22⋊C4×C31—21no—
128C2×C22⋊C4×C31—21no—
129C2×C22⋊C4×C31D412yes—
130C31×#107—21no—
131C31×#107—22no—
132C31×#106—21no—
133C31×#103—21no—
134C31×#103—22no—
135C31×#103—21no—
136C31×#103—21no—
137C31×#102—22no—
138C31×#102—21no—
139C31×C22⋊C8—21no—
140C31×C22⋊C8—21no—
141C31×C22⋊C8C2311yescharacteristic
142C31×C22⋊C8C2311yescharacteristic
143C31×C22⋊C8C2312yes—
144C31×#95—21no—
145C31×#95—22no—
146C31×#95—22no—
147C31×#95C2312yes—
148C24×C31—21no—
149C24×C31C2×D411yescharacteristic
150#41×C31—82no—
151#41×C31—82no—
152#41×C31—81no—
153#41×C31—82no—
154C2×Q8×C31—22no—
155C2×Q8×C31—21no—
156C2×Q8×C31—21no—
157C2×Q8×C31—21no—
158C2×Q8×C31—21no—
159C2×Q8×C31—81no—
160C2×Q8×C31—81no—
161C2×Q8×C31C2×D411yescharacteristic
162C2×D4×C31—21no—
163C2×D4×C31—21no—
164C2×D4×C31—22no—
165C2×D4×C31—22no—
166C2×D4×C31—22no—
167C2×D4×C31—21no—
168C2×D4×C31—22no—
169C2×D4×C31—21no—
170C2×D4×C31—81no—
171C2×D4×C31—81no—
172C2×D4×C31—81no—
173C2×D4×C31C2×D411yescharacteristic
174C2×D4×C31C2×D412yes—
175C22×C4×C31—22no—
176C22×C4×C31—22no—
177C22×C4×C31—22no—
178C22×C4×C31—22no—
179C22×C4×C31—24no—
180C22×C4×C31—21no—
181C22×C4×C31—21no—
182C22×C4×C31—21no—
183C22×C4×C31—21no—
184C22×C4×C31—81no—
185C22×C4×C31—81no—
186C22×C4×C31—81no—
187C22×C4×C31C2×D412yes—
188C22×C4×C31C2×D412yes—
189C22×C4×C31C2×D411yescharacteristic
190C22×C4×C31C2×D411yescharacteristic
191C22×C4×C31C2×D411yescharacteristic
192C22×C4×C31C2×D411yescharacteristic
193C22×C4×C31C2×D411yescharacteristic
194C22×C4×C31C2411yescharacteristic
195Q16×C31—81no—
196SD16×C31—81no—
197SD16×C31—82no—
198M16×C31—81no—
199C2×C8×C31—21no—
200C2×C8×C31—22no—
201C2×C8×C31—21no—
202C2×C8×C31—81no—
203C4⋊C4×C31—22no—
204C4⋊C4×C31—22no—
205C4⋊C4×C31—22no—
206C4⋊C4×C31—22no—
207C4⋊C4×C31—21no—
208C4⋊C4×C31—21no—
209C4⋊C4×C31—21no—
210C4⋊C4×C31—21no—
211C4⋊C4×C31—22no—
212C4⋊C4×C31—22no—
213C4⋊C4×C31—21no—
214C4⋊C4×C31—21no—
215C4⋊C4×C31—21no—
216C4⋊C4×C31—41no—
217C4⋊C4×C31—41no—
218C4⋊C4×C31—82no—
219C4⋊C4×C31—82no—
220C4⋊C4×C31C2×D411yescharacteristic
221C4⋊C4×C31C2×D412yes—
222C4⋊C4×C31C2×D411yescharacteristic
223C22⋊C4×C31—22no—
224C22⋊C4×C31—22no—
225C22⋊C4×C31—22no—
226C22⋊C4×C31—22no—
227C22⋊C4×C31—22no—
228C22⋊C4×C31—21no—
229C22⋊C4×C31—22no—
230C22⋊C4×C31—22no—
231C22⋊C4×C31—21no—
232C22⋊C4×C31—21no—
233C22⋊C4×C31—22no—
234C22⋊C4×C31—21no—
235C22⋊C4×C31—22no—
236C22⋊C4×C31—21no—
237C22⋊C4×C31—41no—
238C22⋊C4×C31—41no—
239C42×C31—22no—
240C42×C31—21no—
241#18425C3111yesmaximal, characteristic, direct product factor, Sylow
242C23×C31—21no—
243C23×C31—21no—
244C23×C31—22no—
245C23×C31—22no—
246C23×C31—21no—
247C23×C31—41no—
248C23×C31—42no—
249C23×C31—81no—
250C23×C31—81no—
251C23×C31#12011yescharacteristic
252C23×C31#12011yescharacteristic
253C23×C31C22×D411yescharacteristic
254Q8×C31—41no—
255Q8×C31—42no—
256Q8×C31—42no—
257Q8×C31—41no—
258Q8×C31—41no—
259Q8×C31—81no—
260Q8×C31—82no—
261D4×C31—42no—
262D4×C31—41no—
263D4×C31—42no—
264D4×C31—42no—
265D4×C31—41no—
266D4×C31—42no—
267D4×C31—41no—
268D4×C31—42no—
269D4×C31—82no—
270D4×C31—81no—
271D4×C31—82no—
272D4×C31—82no—
273C2×C4×C31—24no—
274C2×C4×C31—21no—
275C2×C4×C31—22no—
276C2×C4×C31—21no—
277C2×C4×C31—22no—
278C2×C4×C31—21no—
279C2×C4×C31—22no—
280C2×C4×C31—22no—
281C2×C4×C31—22no—
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—42no—
289C2×C4×C31—42no—
290C2×C4×C31—42no—
291C2×C4×C31—42no—
292C2×C4×C31—42no—
293C2×C4×C31—41no—
294C2×C4×C31—41no—
295C2×C4×C31—41no—
296C2×C4×C31—41no—
297C2×C4×C31—81no—
298C2×C4×C31—84no—
299C2×C4×C31—82no—
300C2×C4×C31—82no—
301C2×C4×C31—82no—
302C2×C4×C31#12011yescharacteristic
303C2×C4×C31#12011yescharacteristic
304C2×C4×C31C22×D411yescharacteristic
305C2×C4×C31C22×D411yescharacteristic
306C8×C31—41no—
307C8×C31—41no—
308C8×C31—42no—
309#3536C2×C3111yescharacteristic
310#3193C2×C3111yescharacteristic, complemented
311#3190C2×C3111yescharacteristic, complemented
312#2659C2×C3111yescharacteristic, complemented
313#1610C2×C3112yescomplemented
314#1609C2×C3112yescomplemented
315#1604C2×C3112yescomplemented
316#1603C2×C3112yescomplemented
317#1504C2×C3111yescharacteristic, complemented
318C2×#327C2×C3111yescharacteristic, complemented
319#1472C2×C3111yescharacteristic, complemented
320C22×C31—21no—
321C22×C31—21no—
322C22×C31—21no—
323C22×C31—21no—
324C22×C31—21no—
325C22×C31—21no—
326C22×C31—21no—
327C22×C31—42no—
328C22×C31—42no—
329C22×C31—41no—
330C22×C31—42no—
331C22×C31—41no—
332C22×C31—42no—
333C22×C31—41no—
334C22×C31—42no—
335C22×C31—162no—
336C22×C31#45612yes—
337C22×C31C2×#12011yescharacteristic
338C22×C31#57611yescharacteristic
339C22×C31#57711yescharacteristic
340C4×C31—21no—
341C4×C31—21no—
342C4×C31—21no—
343C4×C31—21no—
344C4×C31—44no—
345C4×C31—42no—
346C4×C31—42no—
347C4×C31—41no—
348C4×C31—41no—
349C4×C31—41no—
350C4×C31—42no—
351C4×C31—81no—
352C4×C31—81no—
353#562—22no—
354#554—21no—
355#548—21no—
356#547—21no—
357#546—21no—
358#546—22no—
359#543—21no—
360#542—21no—
361#539C22×C3112yes—
362#538—21no—
363#537—21no—
364#537C22×C3112yes—
365#525C22×C3111yescharacteristic
366C2×C22⋊Q8C22×C3111yescharacteristic
367C2×C22⋊Q8C22×C3111yescharacteristic
368C2×#121C22×C3111yescharacteristic
369#485—21no—
370#484—21no—
371#483C22×C3111yescharacteristic, complemented
372#480C22×C3112yes—
373#480C22×C3111yescharacteristic, complemented
374#468—22no—
375#467—21no—
376#465—21no—
377#452—21no—
378#451C22×C3111yescharacteristic, complemented
379#450—21no—
380#448C22×C3112yes—
381#448C22×C3111yescharacteristic, complemented
382#407C22×C3111yescharacteristic
383C2×C22⋊C8C22×C3111yescharacteristic
384#398—21no—
385#398C22×C3112yescomplemented
386#395—21no—
387#395C22×C3112yescomplemented
388#380—22no—
389C2×#95C22×C3111yescharacteristic
390#328C22×C3112yescomplemented
391#327C22×C3112yes—
392#327C22×C3112yes—
393#327C22×C3112yescomplemented
394#324C22×C3112yescomplemented
395#324C22×C3112yescomplemented
396C2×C31—21no—
397C2×C31—22no—
398C2×C31—21no—
399C2×C31—41no—
400C2×C31—81no—
401C2×C31—82no—
402C2×C31#301211yescharacteristic
403C2×C31C2×#45611yescharacteristic
404C2×C31#302611yescharacteristic
405C2×#41—21no—
406C2×#41—22no—
407C2×#41D4×C3111yescharacteristic
408C22×Q8D4×C3111yescharacteristic
409C22×Q8C23×C3111yescharacteristic
410C22×D4—21no—
411C22×D4D4×C3111yescharacteristic
412C23×C4—21no—
413C23×C4C23×C3111yescharacteristic
414C2×Q16—21no—
415C2×SD16—22no—
416C2×SD16—21no—
417C2×M16—21no—
418C22×C8—21no—
419C4⋊Q8—21no—
420#126—22no—
421#125—22no—
422#124—22no—
423#124—21no—
424#124—22no—
425#123—22no—
426#123—22no—
427#123—22no—
428#123—21no—
429#123—22no—
430C22⋊Q8—21no—
431C22⋊Q8—22no—
432C22⋊Q8—22no—
433C22⋊Q8—22no—
434C22⋊Q8—22no—
435C22⋊Q8—21no—
436C22⋊Q8—21no—
437C22⋊Q8—21no—
438C22⋊Q8—21no—
439C22⋊Q8—22no—
440C22⋊Q8—22no—
441C22⋊Q8—21no—
442C22⋊Q8—21no—
443C22⋊Q8—21no—
444C22⋊Q8—21no—
445C22⋊Q8D4×C3111yescharacteristic
446C22⋊Q8C23×C3111yescharacteristic
447#121—21no—
448#121—22no—
449#121—22no—
450#121—22no—
451#121—22no—
452#121—21no—
453#121—21no—
454#121—22no—
455#121D4×C3112yes—
456#121D4×C3111yescharacteristic
457#121C23×C3112yes—
458#121C23×C3111yescharacteristic
459#120—22no—
460#120—21no—
461C4×Q8—21no—
462C4×D4—22no—
463C4×D4—21no—
464C4×D4—21no—
465C4×D4—21no—
466C4×D4—22no—
467#117D4×C3111yescharacteristic
468C2×C4⋊C4—21no—
469C2×C4⋊C4—21no—
470C2×C4⋊C4—22no—
471C2×C4⋊C4—22no—
472C2×C4⋊C4D4×C3111yescharacteristic
473C2×C4⋊C4D4×C3111yescharacteristic
474C2×C4⋊C4C23×C3111yescharacteristic
475C2×C4⋊C4C23×C3112yes—
476C2×C22⋊C4—22no—
477C2×C22⋊C4—21no—
478C2×C22⋊C4—21no—
479C2×C22⋊C4D4×C3112yes—
480#107—21no—
481#107—22no—
482#106—21no—
483#103—21no—
484#103—22no—
485#103—21no—
486#103—21no—
487#102—22no—
488#102—21no—
489C22⋊C8—21no—
490C22⋊C8—21no—
491C22⋊C8C23×C3111yescharacteristic
492C22⋊C8C23×C3111yescharacteristic
493C22⋊C8C23×C3112yes—
494#95—21no—
495#95—22no—
496#95—22no—
497#95C23×C3112yes—
498C31#1842511yescharacteristic, direct product factor, Sylow
499C24—21no—
500C24C2×D4×C3111yescharacteristic
501#41—82no—
502#41—82no—
503#41—81no—
504#41—82no—
505C2×Q8—22no—
506C2×Q8—21no—
507C2×Q8—21no—
508C2×Q8—21no—
509C2×Q8—21no—
510C2×Q8—81no—
511C2×Q8—81no—
512C2×Q8C2×D4×C3111yescharacteristic
513C2×D4—21no—
514C2×D4—21no—
515C2×D4—22no—
516C2×D4—22no—
517C2×D4—22no—
518C2×D4—21no—
519C2×D4—22no—
520C2×D4—21no—
521C2×D4—81no—
522C2×D4—81no—
523C2×D4—81no—
524C2×D4C2×D4×C3111yescharacteristic
525C2×D4C2×D4×C3112yes—
526C22×C4—22no—
527C22×C4—22no—
528C22×C4—22no—
529C22×C4—22no—
530C22×C4—24no—
531C22×C4—21no—
532C22×C4—21no—
533C22×C4—21no—
534C22×C4—21no—
535C22×C4—81no—
536C22×C4—81no—
537C22×C4—81no—
538C22×C4C2×D4×C3112yes—
539C22×C4C2×D4×C3112yes—
540C22×C4C2×D4×C3111yescharacteristic
541C22×C4C2×D4×C3111yescharacteristic
542C22×C4C2×D4×C3111yescharacteristic
543C22×C4C2×D4×C3111yescharacteristic
544C22×C4C2×D4×C3111yescharacteristic
545C22×C4C24×C3111yescharacteristic
546Q16—81no—
547SD16—81no—
548SD16—82no—
549M16—81no—
550C2×C8—21no—
551C2×C8—22no—
552C2×C8—21no—
553C2×C8—81no—
554C4⋊C4—22no—
555C4⋊C4—22no—
556C4⋊C4—22no—
557C4⋊C4—22no—
558C4⋊C4—21no—
559C4⋊C4—21no—
560C4⋊C4—21no—
561C4⋊C4—21no—
562C4⋊C4—22no—
563C4⋊C4—22no—
564C4⋊C4—21no—
565C4⋊C4—21no—
566C4⋊C4—21no—
567C4⋊C4—41no—
568C4⋊C4—41no—
569C4⋊C4—82no—
570C4⋊C4—82no—
571C4⋊C4C2×D4×C3111yescharacteristic
572C4⋊C4C2×D4×C3112yes—
573C4⋊C4C2×D4×C3111yescharacteristic
574C22⋊C4—22no—
575C22⋊C4—22no—
576C22⋊C4—22no—
577C22⋊C4—22no—
578C22⋊C4—22no—
579C22⋊C4—21no—
580C22⋊C4—22no—
581C22⋊C4—22no—
582C22⋊C4—21no—
583C22⋊C4—21no—
584C22⋊C4—22no—
585C22⋊C4—21no—
586C22⋊C4—22no—
587C22⋊C4—21no—
588C22⋊C4—41no—
589C22⋊C4—41no—
590C42—22no—
591C42—21no—
592C23—22no—
593C23—21no—
594C23—21no—
595C23—22no—
596C23—21no—
597C23—41no—
598C23—42no—
599C23—81no—
600C23—81no—
601C23C31×#12011yescharacteristic
602C23C31×#12011yescharacteristic
603C23C22×D4×C3111yescharacteristic
604Q8—41no—
605Q8—42no—
606Q8—42no—
607Q8—41no—
608Q8—41no—
609Q8—81no—
610Q8—82no—
611D4—42no—
612D4—41no—
613D4—42no—
614D4—42no—
615D4—42no—
616D4—41no—
617D4—42no—
618D4—41no—
619D4—82no—
620D4—81no—
621D4—82no—
622D4—82no—
623C2×C4—24no—
624C2×C4—21no—
625C2×C4—22no—
626C2×C4—21no—
627C2×C4—22no—
628C2×C4—21no—
629C2×C4—22no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—42no—
639C2×C4—42no—
640C2×C4—42no—
641C2×C4—42no—
642C2×C4—42no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—81no—
648C2×C4—84no—
649C2×C4—82no—
650C2×C4—82no—
651C2×C4—82no—
652C2×C4C31×#12011yescharacteristic
653C2×C4C31×#12011yescharacteristic
654C2×C4C22×D4×C3111yescharacteristic
655C2×C4C22×D4×C3111yescharacteristic
656C8—41no—
657C8—41no—
658C8—42no—
659C22—21no—
660C22—21no—
661C22—21no—
662C22—21no—
663C22—21no—
664C22—21no—
665C22—21no—
666C22—42no—
667C22—42no—
668C22—41no—
669C22—42no—
670C22—41no—
671C22—42no—
672C22—41no—
673C22—42no—
674C22—162no—
675C22C31×#45612yes—
676C22C2×C31×#12011yescharacteristic
677C22C31×#57611yescharacteristic
678C22C31×#57711yescharacteristic
679C4—21no—
680C4—21no—
681C4—21no—
682C4—21no—
683C4—44no—
684C4—42no—
685C4—42no—
686C4—41no—
687C4—41no—
688C4—41no—
689C4—42no—
690C4—81no—
691C4—81no—
692C2—21no—
693C2—22no—
694C2—21no—
695C2—41no—
696C2—82no—
697C2—81no—
698C2C31×#301211yescharacteristic
699C2C2×C31×#45611yescharacteristic
700C2C31×#302611yescharacteristic
subgroupG/H
center, socleC22×C31C2×#120
commutator, Frattini, cosocleC22×C4C24×C31
prime radicalC31×#3536C2
LCSG ▷ C22×C4 ▷ C22 ▷ C1
UCSC1 ◁ C22×C31 ◁ C23×C4×C31 ◁ G

Complements

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

NH ≅ G/Ntype
2. C31×#3193C2semidirect
3. C31×#3190C2semidirect
4. C31×#2659C2semidirect
5. C31×#1610C2semidirect
6. C31×#1609C2semidirect
7. C31×#1604C2semidirect
8. C31×#1603C2semidirect
9. C31×#1504C2semidirect
10. C2×C31×#327C2semidirect
11. C31×#1472C2semidirect
30. C31×#483C22semidirect
32. C31×#480C22semidirect
37. C31×#451C22semidirect
40. C31×#448C22semidirect
44. C31×#398C22semidirect
46. C31×#395C22semidirect
49. C31×#328C22semidirect
52. C31×#327C22semidirect
53. C31×#324C22semidirect
54. C31×#324C22semidirect
241. #18425C31direct (N × H)
310. #3193C2×C31semidirect
311. #3190C2×C31semidirect
312. #2659C2×C31semidirect
313. #1610C2×C31semidirect
314. #1609C2×C31semidirect
315. #1604C2×C31semidirect
316. #1603C2×C31semidirect
317. #1504C2×C31semidirect
318. C2×#327C2×C31semidirect
319. #1472C2×C31semidirect
371. #483C22×C31semidirect
373. #480C22×C31semidirect
378. #451C22×C31semidirect
381. #448C22×C31semidirect
385. #398C22×C31semidirect
387. #395C22×C31semidirect
390. #328C22×C31semidirect
393. #327C22×C31semidirect
394. #324C22×C31semidirect
395. #324C22×C31semidirect
498. C31#18425direct (N × H)

Maximal subgroups

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

subgroupindex
C31×#35362
C31×#31932
C31×#31902
C31×#26592
C31×#16102
C31×#16092
C31×#16042
C31×#16032
C31×#15042
C2×C31×#3272
C31×#14722
#1842531