Finite Group Databasebeta

← C31×#15785 #21472544

Subgroups — C31×#15785 #21472544

Order 7936.

1890 conjugacy classes of subgroups.

The subgroup lattice has 734 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C31×#124C211yesmaximal, characteristic
2C2×C31×#399C211yesmaximal, characteristic, complemented
3C2×C31×#397C211yesmaximal, characteristic, complemented
4C2×C31×#391C211yesmaximal, characteristic, complemented
5C31×#1446C211yesmaximal, characteristic, complemented
6C31×#1440C212yesmaximal, complemented
7C31×#1439C212yesmaximal, complemented
8C31×#1438C212yesmaximal
9C31×#1437C211yesmaximal, characteristic, complemented
10C31×#1437C211yesmaximal, characteristic, complemented
11C31×#1436C212yesmaximal, complemented
12C23×Q8×C31C2211yescharacteristic
13C23×D4×C31C2211yescharacteristic
14C2×C31×#124—24no—
15C2×C31×#124—24no—
16C2×C31×#124—24no—
17C22×C4⋊C4×C31C2211yescharacteristic
18C22×C4⋊C4×C31C2212yes—
19C22×C22⋊C4×C31C2211yescharacteristic
20C22×C22⋊C4×C31C2211yescharacteristic
21C22×C22⋊C4×C31C2212yes—
22C22×C22⋊C4×C31C2212yes—
23C22×C22⋊C4×C31C2211yescharacteristic
24C22×C22⋊C4×C31C2211yescharacteristic
25C22×C22⋊C4×C31C2212yes—
26C22×C22⋊C4×C31C2212yes—
27C22×C42×C31C2211yescharacteristic
28C22×C42×C31C2211yescharacteristic
29C31×#399—24no—
30C31×#397—24no—
31C31×#391—24no—
32C2×C31×#95C2212yes—
33C2×C31×#95C2211yescharacteristic
34C2×C31×#95C2211yescharacteristic
35C2×C31×#95C2212yes—
36C2×C31×#95C2212yes—
37C2×C31×#95C2212yes—
38C2×C31×#95C2212yes—
39C2×C31×#95C2212yes—
40C2×C31×#95C2212yes—
41C25×C31C2311yescharacteristic
42C25×C31C2311yescharacteristic
43C22×Q8×C31—22no—
44C22×Q8×C31—22no—
45C22×Q8×C31—24no—
46C22×Q8×C31—42no—
47C22×Q8×C31D414yes—
48C22×D4×C31—22no—
49C22×D4×C31—22no—
50C22×D4×C31—22no—
51C22×D4×C31—24no—
52C22×D4×C31—42no—
53C23×C4×C31C2312yes—
54C23×C4×C31C2312yes—
55C23×C4×C31C2311yescharacteristic
56C23×C4×C31C2311yescharacteristic
57C23×C4×C31C2311yescharacteristic
58C23×C4×C31C2312yes—
59C23×C4×C31C2312yes—
60C23×C4×C31C2311yescharacteristic
61C23×C4×C31C2311yescharacteristic
62C31×#124—232no—
63C2×C4⋊C4×C31—22no—
64C2×C4⋊C4×C31—24no—
65C2×C4⋊C4×C31—22no—
66C2×C4⋊C4×C31—22no—
67C2×C4⋊C4×C31—24no—
68C2×C4⋊C4×C31—42no—
69C2×C22⋊C4×C31—22no—
70C2×C22⋊C4×C31—22no—
71C2×C22⋊C4×C31—22no—
72C2×C22⋊C4×C31—22no—
73C2×C22⋊C4×C31—22no—
74C2×C22⋊C4×C31—22no—
75C2×C22⋊C4×C31—22no—
76C2×C22⋊C4×C31—22no—
77C2×C22⋊C4×C31—22no—
78C2×C22⋊C4×C31—22no—
79C2×C22⋊C4×C31—24no—
80C2×C22⋊C4×C31—24no—
81C2×C22⋊C4×C31—24no—
82C2×C22⋊C4×C31—24no—
83C2×C22⋊C4×C31—24no—
84C2×C22⋊C4×C31—24no—
85C2×C22⋊C4×C31—42no—
86C2×C22⋊C4×C31—42no—
87C2×C22⋊C4×C31—42no—
88C2×C22⋊C4×C31—42no—
89C2×C22⋊C4×C31—42no—
90C2×C22⋊C4×C31—42no—
91C2×C22⋊C4×C31D414yes—
92C2×C22⋊C4×C31D414yes—
93C2×C42×C31—22no—
94C2×C42×C31—22no—
95C2×C42×C31—22no—
96C2×C42×C31—22no—
97C2×C42×C31—42no—
98C31×#95—22no—
99C31×#95—24no—
100C31×#95—22no—
101C31×#95—24no—
102C31×#95—24no—
103C31×#95—24no—
104C31×#95—24no—
105C31×#95—42no—
106C31×#95—42no—
107C24×C31—21no—
108C24×C31—21no—
109C24×C31—21no—
110C24×C31—21no—
111C24×C31—22no—
112C24×C31—22no—
113C24×C31—22no—
114C24×C31—22no—
115C24×C31—22no—
116C24×C31—22no—
117C24×C31—22no—
118C24×C31—22no—
119C24×C31—22no—
120C24×C31—22no—
121C24×C31—22no—
122C24×C31—22no—
123C24×C31C2×D412yes—
124C24×C31C2×D412yes—
125C24×C31C2411yescharacteristic
126C2×Q8×C31—28no—
127C2×Q8×C31—28no—
128C2×Q8×C31—44no—
129C2×Q8×C31—48no—
130C2×Q8×C31—48no—
131C2×D4×C31—28no—
132C2×D4×C31—48no—
133C2×D4×C31—48no—
134C2×D4×C31—44no—
135C2×D4×C31—44no—
136C22×C4×C31—21no—
137C22×C4×C31—21no—
138C22×C4×C31—22no—
139C22×C4×C31—22no—
140C22×C4×C31—22no—
141C22×C4×C31—22no—
142C22×C4×C31—22no—
143C22×C4×C31—21no—
144C22×C4×C31—21no—
145C22×C4×C31—21no—
146C22×C4×C31—21no—
147C22×C4×C31—21no—
148C22×C4×C31—21no—
149C22×C4×C31—22no—
150C22×C4×C31—22no—
151C22×C4×C31—22no—
152C22×C4×C31—22no—
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—22no—
162C22×C4×C31—22no—
163C22×C4×C31—22no—
164C22×C4×C31—22no—
165C22×C4×C31—22no—
166C22×C4×C31—22no—
167C22×C4×C31—22no—
168C22×C4×C31—22no—
169C22×C4×C31—22no—
170C22×C4×C31—22no—
171C22×C4×C31—22no—
172C22×C4×C31—22no—
173C22×C4×C31—22no—
174C22×C4×C31—22no—
175C22×C4×C31—22no—
176C22×C4×C31—22no—
177C22×C4×C31—22no—
178C22×C4×C31—22no—
179C22×C4×C31C2×D412yes—
180C22×C4×C31C2×D412yes—
181C22×C4×C31C2×D412yes—
182C22×C4×C31C2×D412yes—
183C22×C4×C31C2×D412yes—
184C22×C4×C31C2×D412yes—
185C22×C4×C31C2×D412yes—
186C22×C4×C31#4114yes—
187C22×C4×C31#4114yes—
188C22×C4×C31#4114yes—
189C4⋊C4×C31—48no—
190C4⋊C4×C31—44no—
191C22⋊C4×C31—28no—
192C22⋊C4×C31—28no—
193C22⋊C4×C31—28no—
194C22⋊C4×C31—28no—
195C22⋊C4×C31—48no—
196C22⋊C4×C31—48no—
197C22⋊C4×C31—48no—
198C22⋊C4×C31—48no—
199C42×C31—28no—
200C42×C31—44no—
201#15785C3111yesmaximal, characteristic, direct product factor, Sylow
202C23×C31—22no—
203C23×C31—22no—
204C23×C31—22no—
205C23×C31—22no—
206C23×C31—22no—
207C23×C31—22no—
208C23×C31—24no—
209C23×C31—24no—
210C23×C31—24no—
211C23×C31—24no—
212C23×C31—41no—
213C23×C31—41no—
214C23×C31—42no—
215C23×C31—42no—
216C23×C31—41no—
217C23×C31—41no—
218C23×C31—41no—
219C23×C31—41no—
220C23×C31—41no—
221C23×C31—41no—
222C23×C31—42no—
223C23×C31—42no—
224C23×C31—42no—
225C23×C31—42no—
226C23×C31—42no—
227C23×C31—42no—
228C23×C31—42no—
229C23×C31—42no—
230C23×C31—42no—
231C23×C31—42no—
232C23×C31—42no—
233C23×C31—42no—
234C23×C31—42no—
235C23×C31—42no—
236C23×C31—42no—
237C23×C31—42no—
238C23×C31—42no—
239C23×C31—42no—
240C23×C31—42no—
241C23×C31—42no—
242C23×C31—42no—
243C23×C31—42no—
244C23×C31C22×D411yescharacteristic
245C23×C31C22×D411yescharacteristic
246C23×C31C22×D411yescharacteristic
247C23×C31C2×#4112yes—
248C23×C31C2×#4112yes—
249C23×C31C2×#4112yes—
250C23×C31H(5,𝔽2)12yes—
251C23×C31H(5,𝔽2)12yes—
252C23×C312−1+412yes—
253Q8×C31—416no—
254D4×C31—416no—
255C2×C4×C31—22no—
256C2×C4×C31—22no—
257C2×C4×C31—22no—
258C2×C4×C31—22no—
259C2×C4×C31—24no—
260C2×C4×C31—24no—
261C2×C4×C31—24no—
262C2×C4×C31—24no—
263C2×C4×C31—22no—
264C2×C4×C31—22no—
265C2×C4×C31—22no—
266C2×C4×C31—22no—
267C2×C4×C31—24no—
268C2×C4×C31—22no—
269C2×C4×C31—24no—
270C2×C4×C31—24no—
271C2×C4×C31—24no—
272C2×C4×C31—24no—
273C2×C4×C31—24no—
274C2×C4×C31—24no—
275C2×C4×C31—24no—
276C2×C4×C31—41no—
277C2×C4×C31—41no—
278C2×C4×C31—42no—
279C2×C4×C31—42no—
280C2×C4×C31—41no—
281C2×C4×C31—41no—
282C2×C4×C31—42no—
283C2×C4×C31—42no—
284C2×C4×C31—42no—
285C2×C4×C31—42no—
286C2×C4×C31—42no—
287C2×C4×C31—42no—
288C2×C4×C31—42no—
289C2×C4×C31—42no—
290C2×C4×C31—42no—
291C2×C4×C31—42no—
292C2×C4×C31—42no—
293C2×C4×C31—42no—
294C2×C4×C31—42no—
295C2×C4×C31—42no—
296C2×C4×C31—42no—
297C2×C4×C31—42no—
298C2×C4×C31—42no—
299C2×C4×C31—42no—
300C2×C4×C31—42no—
301C2×C4×C31—42no—
302C2×C4×C31—42no—
303C2×C4×C31—42no—
304C2×C4×C31—42no—
305C2×C4×C31—42no—
306C2×C4×C31#12014yes—
307C2×C4×C31#12314yes—
308C22×#124C2×C3111yescharacteristic
309C2×#399C2×C3111yescharacteristic, complemented
310C2×#397C2×C3111yescharacteristic, complemented
311C2×#391C2×C3111yescharacteristic, complemented
312#1446C2×C3111yescharacteristic, complemented
313#1440C2×C3112yescomplemented
314#1439C2×C3112yescomplemented
315#1438C2×C3112yes—
316#1437C2×C3111yescharacteristic, complemented
317#1437C2×C3111yescharacteristic, complemented
318#1436C2×C3112yescomplemented
319C22×C31—42no—
320C22×C31—42no—
321C22×C31—42no—
322C22×C31—42no—
323C22×C31—42no—
324C22×C31—42no—
325C22×C31—44no—
326C22×C31—44no—
327C22×C31—44no—
328C22×C31—44no—
329C22×C31—82no—
330C22×C31—82no—
331C22×C31—82no—
332C22×C31—82no—
333C22×C31—82no—
334C22×C31—82no—
335C22×C31—82no—
336C22×C31—82no—
337C22×C31C2×#12011yescharacteristic
338C22×C31C2×#12311yescharacteristic
339C22×C31#52912yes—
340C22×C31#53211yescharacteristic
341C22×C31#53211yescharacteristic
342C22×C31#53411yescharacteristic
343C22×C31#53511yescharacteristic
344C22×C31#53611yescharacteristic
345C22×C31#53812yes—
346C22×C31#54212yes—
347C22×C31#54212yes—
348C22×C31#54612yes—
349C22×C31#54612yes—
350C22×C31#54612yes—
351C22×C31#54712yes—
352C22×C31#54812yes—
353C22×C31#55012yes—
354C22×C31#55112yes—
355C22×C31#55612yes—
356C22×C31#55912yes—
357C22×C31#56212yes—
358C4×C31—24no—
359C4×C31—24no—
360C4×C31—42no—
361C4×C31—42no—
362C4×C31—42no—
363C4×C31—44no—
364C4×C31—44no—
365C4×C31—82no—
366C4×C31—82no—
367C23×Q8C22×C3111yescharacteristic
368C23×D4C22×C3111yescharacteristic
369C2×#124—24no—
370C2×#124—24no—
371C2×#124—24no—
372C22×C4⋊C4C22×C3111yescharacteristic
373C22×C4⋊C4C22×C3112yes—
374C22×C22⋊C4C22×C3111yescharacteristic
375C22×C22⋊C4C22×C3111yescharacteristic
376C22×C22⋊C4C22×C3112yes—
377C22×C22⋊C4C22×C3112yes—
378C22×C22⋊C4C22×C3111yescharacteristic
379C22×C22⋊C4C22×C3111yescharacteristic
380C22×C22⋊C4C22×C3112yes—
381C22×C22⋊C4C22×C3112yes—
382C22×C42C22×C3111yescharacteristic
383C22×C42C22×C3111yescharacteristic
384#399—24no—
385#397—24no—
386#391—24no—
387C2×#95C22×C3112yes—
388C2×#95C22×C3111yescharacteristic
389C2×#95C22×C3111yescharacteristic
390C2×#95C22×C3112yes—
391C2×#95C22×C3112yes—
392C2×#95C22×C3112yes—
393C2×#95C22×C3112yes—
394C2×#95C22×C3112yes—
395C2×#95C22×C3112yes—
396C2×C31—82no—
397C2×C31—82no—
398C2×C31#240511yescharacteristic
399C2×C31#243111yescharacteristic
400C2×C31#243211yescharacteristic
401C2×C31#244812yes—
402C2×C31#252112yes—
403C2×C31#255712yes—
404C2×C31#270012yes—
405C2×C31#271012yes—
406C2×C31#273012yes—
407C25C23×C3111yescharacteristic
408C25C23×C3111yescharacteristic
409C22×Q8—22no—
410C22×Q8—22no—
411C22×Q8—24no—
412C22×Q8—42no—
413C22×Q8D4×C3114yes—
414C22×D4—22no—
415C22×D4—22no—
416C22×D4—22no—
417C22×D4—24no—
418C22×D4—42no—
419C23×C4C23×C3112yes—
420C23×C4C23×C3112yes—
421C23×C4C23×C3111yescharacteristic
422C23×C4C23×C3111yescharacteristic
423C23×C4C23×C3111yescharacteristic
424C23×C4C23×C3112yes—
425C23×C4C23×C3112yes—
426C23×C4C23×C3111yescharacteristic
427C23×C4C23×C3111yescharacteristic
428#124—232no—
429C2×C4⋊C4—22no—
430C2×C4⋊C4—22no—
431C2×C4⋊C4—24no—
432C2×C4⋊C4—22no—
433C2×C4⋊C4—24no—
434C2×C4⋊C4—42no—
435C2×C22⋊C4—22no—
436C2×C22⋊C4—22no—
437C2×C22⋊C4—22no—
438C2×C22⋊C4—22no—
439C2×C22⋊C4—22no—
440C2×C22⋊C4—22no—
441C2×C22⋊C4—22no—
442C2×C22⋊C4—22no—
443C2×C22⋊C4—22no—
444C2×C22⋊C4—22no—
445C2×C22⋊C4—24no—
446C2×C22⋊C4—24no—
447C2×C22⋊C4—24no—
448C2×C22⋊C4—24no—
449C2×C22⋊C4—24no—
450C2×C22⋊C4—24no—
451C2×C22⋊C4—42no—
452C2×C22⋊C4—42no—
453C2×C22⋊C4—42no—
454C2×C22⋊C4—42no—
455C2×C22⋊C4—42no—
456C2×C22⋊C4—42no—
457C2×C22⋊C4D4×C3114yes—
458C2×C22⋊C4D4×C3114yes—
459C2×C42—22no—
460C2×C42—22no—
461C2×C42—22no—
462C2×C42—22no—
463C2×C42—42no—
464#95—24no—
465#95—24no—
466#95—22no—
467#95—24no—
468#95—22no—
469#95—24no—
470#95—24no—
471#95—42no—
472#95—42no—
473C31#1578511yescharacteristic, direct product factor, Sylow
474C24—21no—
475C24—21no—
476C24—21no—
477C24—21no—
478C24—22no—
479C24—22no—
480C24—22no—
481C24—22no—
482C24—22no—
483C24—22no—
484C24—22no—
485C24—22no—
486C24—22no—
487C24—22no—
488C24—22no—
489C24—22no—
490C24C2×D4×C3112yes—
491C24C2×D4×C3112yes—
492C24C24×C3111yescharacteristic
493C2×Q8—28no—
494C2×Q8—28no—
495C2×Q8—44no—
496C2×Q8—48no—
497C2×Q8—48no—
498C2×D4—28no—
499C2×D4—48no—
500C2×D4—48no—
501C2×D4—44no—
502C2×D4—44no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—22no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—22no—
517C22×C4—22no—
518C22×C4—22no—
519C22×C4—22no—
520C22×C4—22no—
521C22×C4—22no—
522C22×C4—22no—
523C22×C4—22no—
524C22×C4—22no—
525C22×C4—22no—
526C22×C4—22no—
527C22×C4—22no—
528C22×C4—22no—
529C22×C4—22no—
530C22×C4—22no—
531C22×C4—22no—
532C22×C4—22no—
533C22×C4—22no—
534C22×C4—22no—
535C22×C4—22no—
536C22×C4—22no—
537C22×C4—22no—
538C22×C4—22no—
539C22×C4—22no—
540C22×C4—22no—
541C22×C4—22no—
542C22×C4—22no—
543C22×C4—22no—
544C22×C4—22no—
545C22×C4—22no—
546C22×C4C2×D4×C3112yes—
547C22×C4C2×D4×C3112yes—
548C22×C4C2×D4×C3112yes—
549C22×C4C2×D4×C3112yes—
550C22×C4C2×D4×C3112yes—
551C22×C4C2×D4×C3112yes—
552C22×C4C2×D4×C3112yes—
553C22×C4#41×C3114yes—
554C22×C4#41×C3114yes—
555C22×C4#41×C3114yes—
556C4⋊C4—48no—
557C4⋊C4—44no—
558C22⋊C4—28no—
559C22⋊C4—28no—
560C22⋊C4—28no—
561C22⋊C4—28no—
562C22⋊C4—48no—
563C22⋊C4—48no—
564C22⋊C4—48no—
565C22⋊C4—48no—
566C42—28no—
567C42—44no—
568C23—22no—
569C23—22no—
570C23—22no—
571C23—22no—
572C23—22no—
573C23—22no—
574C23—24no—
575C23—24no—
576C23—24no—
577C23—24no—
578C23—41no—
579C23—41no—
580C23—42no—
581C23—42no—
582C23—41no—
583C23—41no—
584C23—41no—
585C23—41no—
586C23—41no—
587C23—41no—
588C23—42no—
589C23—42no—
590C23—42no—
591C23—42no—
592C23—42no—
593C23—42no—
594C23—42no—
595C23—42no—
596C23—42no—
597C23—42no—
598C23—42no—
599C23—42no—
600C23—42no—
601C23—42no—
602C23—42no—
603C23—42no—
604C23—42no—
605C23—42no—
606C23—42no—
607C23—42no—
608C23—42no—
609C23—42no—
610C23C22×D4×C3111yescharacteristic
611C23C22×D4×C3111yescharacteristic
612C23C22×D4×C3111yescharacteristic
613C23C2×#41×C3112yes—
614C23C2×#41×C3112yes—
615C23C2×#41×C3112yes—
616C23C31×H(5,𝔽2)12yes—
617C23C31×H(5,𝔽2)12yes—
618C23C31×2−1+412yes—
619Q8—416no—
620D4—416no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—22no—
624C2×C4—22no—
625C2×C4—24no—
626C2×C4—24no—
627C2×C4—24no—
628C2×C4—24no—
629C2×C4—22no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—24no—
634C2×C4—22no—
635C2×C4—24no—
636C2×C4—24no—
637C2×C4—24no—
638C2×C4—24no—
639C2×C4—24no—
640C2×C4—24no—
641C2×C4—24no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—42no—
645C2×C4—42no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—42no—
649C2×C4—42no—
650C2×C4—42no—
651C2×C4—42no—
652C2×C4—42no—
653C2×C4—42no—
654C2×C4—42no—
655C2×C4—42no—
656C2×C4—42no—
657C2×C4—42no—
658C2×C4—42no—
659C2×C4—42no—
660C2×C4—42no—
661C2×C4—42no—
662C2×C4—42no—
663C2×C4—42no—
664C2×C4—42no—
665C2×C4—42no—
666C2×C4—42no—
667C2×C4—42no—
668C2×C4—42no—
669C2×C4—42no—
670C2×C4—42no—
671C2×C4—42no—
672C2×C4C31×#12014yes—
673C2×C4C31×#12314yes—
674C22—42no—
675C22—42no—
676C22—42no—
677C22—42no—
678C22—42no—
679C22—42no—
680C22—44no—
681C22—44no—
682C22—44no—
683C22—44no—
684C22—82no—
685C22—82no—
686C22—82no—
687C22—82no—
688C22—82no—
689C22—82no—
690C22—82no—
691C22—82no—
692C22C2×C31×#12011yescharacteristic
693C22C2×C31×#12311yescharacteristic
694C22C31×#52912yes—
695C22C31×#53211yescharacteristic
696C22C31×#53211yescharacteristic
697C22C31×#53411yescharacteristic
698C22C31×#53511yescharacteristic
699C22C31×#53611yescharacteristic
700C22C31×#53812yes—
701C22C31×#54212yes—
702C22C31×#54212yes—
703C22C31×#54612yes—
704C22C31×#54612yes—
705C22C31×#54612yes—
706C22C31×#54712yes—
707C22C31×#54812yes—
708C22C31×#55012yes—
709C22C31×#55112yes—
710C22C31×#55612yes—
711C22C31×#55912yes—
712C22C31×#56212yes—
713C4—24no—
714C4—24no—
715C4—42no—
716C4—42no—
717C4—42no—
718C4—44no—
719C4—44no—
720C4—82no—
721C4—82no—
722C2—82no—
723C2—82no—
724C2C31×#240511yescharacteristic
725C2C31×#243111yescharacteristic
726C2C31×#243211yescharacteristic
727C2C31×#244812yes—
728C2C31×#252112yes—
729C2C31×#255712yes—
730C2C31×#270012yes—
731C2C31×#271012yes—
732C2C31×#273012yes—
subgroupG/H
center, socleC24×C31C24
commutator, Frattini, cosocleC24C24×C31
prime radicalC23×D4×C31C22
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24×C31 ◁ G

Complements

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

NH ≅ G/Ntype
2. C2×C31×#399C2semidirect
3. C2×C31×#397C2semidirect
4. C2×C31×#391C2semidirect
5. C31×#1446C2semidirect
6. C31×#1440C2semidirect
7. C31×#1439C2semidirect
9. C31×#1437C2semidirect
10. C31×#1437C2semidirect
11. C31×#1436C2semidirect
201. #15785C31direct (N × H)
309. C2×#399C2×C31semidirect
310. C2×#397C2×C31semidirect
311. C2×#391C2×C31semidirect
312. #1446C2×C31semidirect
313. #1440C2×C31semidirect
314. #1439C2×C31semidirect
316. #1437C2×C31semidirect
317. #1437C2×C31semidirect
318. #1436C2×C31semidirect
473. C31#15785direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C31×#1242
C2×C31×#3992
C2×C31×#3972
C2×C31×#3912
C31×#14462
C31×#14402
C31×#14392
C31×#14382
C31×#14372
C31×#14362
#1578531