Finite Group Databasebeta

← C31×#23392 #21480151

Subgroups — C31×#23392 #21480151

Order 7936.

2170 conjugacy classes of subgroups.

The subgroup lattice has 680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C31×#137C211yesmaximal, characteristic, complemented
2C2×C31×#525C211yesmaximal, characteristic
3C22×C31×C22⋊Q8C211yesmaximal, characteristic, complemented
4C2×C31×#417C211yesmaximal, characteristic, complemented
5C2×C31×#419C211yesmaximal, characteristic, complemented
6C2×C31×#407C211yesmaximal, characteristic, complemented
7C31×#2001C214yesmaximal, complemented
8C31×#2000C214yesmaximal, complemented
9C31×#1736C211yesmaximal, characteristic, complemented
10C22×#41×C31C2211yescharacteristic
11C23×Q8×C31C2211yescharacteristic
12C24×C4×C31C2211yescharacteristic
13C2×C31×#137—24no—
14C2×C31×#137—24no—
15C2×C31×#137—24no—
16C22×Q16×C31C2212yescomplemented
17C22×SD16×C31C2212yescomplemented
18C22×M16×C31C2211yescharacteristic
19C22×M16×C31C2211yescharacteristic
20C31×#525—24no—
21C31×#525—24no—
22C2×C31×#123—21no—
23C2×C31×C22⋊Q8—24no—
24C2×C31×C22⋊Q8—22no—
25C2×C31×C22⋊Q8—24no—
26C2×C31×C22⋊Q8C2214yes—
27C2×C31×C22⋊Q8C2212yes—
28C2×C31×#121C2212yes—
29C2×C31×#120—21no—
30C2×C4×D4×C31—22no—
31C2×C31×#117C2211yescharacteristic
32C22×C4⋊C4×C31—21no—
33C22×C4⋊C4×C31C2211yescharacteristic
34C22×C22⋊C4×C31—21no—
35C31×#419—24no—
36C31×#417—24no—
37C2×C31×#103C2214yescomplemented
38C2×C31×#103C2212yescomplemented
39C2×C31×#102C2212yescomplemented
40C31×#407—24no—
41C2×C31×C22⋊C8C2214yes—
42C31×#340C2214yescomplemented
43C25×C31D411yescharacteristic
44C2×#41×C31—22no—
45C2×#41×C31—22no—
46C2×#41×C31—22no—
47C2×#41×C31—22no—
48C2×#41×C31—22no—
49C2×#41×C31D414yes—
50C22×Q8×C31—22no—
51C22×Q8×C31—21no—
52C22×Q8×C31—22no—
53C22×Q8×C31—22no—
54C22×Q8×C31—22no—
55C22×Q8×C31—22no—
56C22×Q8×C31D414yescomplemented
57C22×Q8×C31C2312yes—
58C22×Q8×C31C2311yescharacteristic
59C22×D4×C31—22no—
60C22×D4×C31—21no—
61C22×D4×C31C2311yescharacteristic
62C23×C4×C31—21no—
63C23×C4×C31—21no—
64C23×C4×C31—22no—
65C23×C4×C31—21no—
66C23×C4×C31—22no—
67C23×C4×C31—22no—
68C23×C4×C31—22no—
69C23×C4×C31—22no—
70C23×C4×C31—22no—
71C23×C4×C31D411yescharacteristic
72C23×C4×C31D412yes—
73C23×C4×C31C2312yes—
74C23×C4×C31C2311yescharacteristic
75C31×#137—232no—
76C2×Q16×C31—24no—
77C2×Q16×C31—24no—
78C2×Q16×C31—24no—
79C2×SD16×C31—24no—
80C2×SD16×C31—24no—
81C2×SD16×C31—24no—
82C2×M16×C31—22no—
83C2×M16×C31—22no—
84C2×M16×C31—22no—
85C2×M16×C31—22no—
86C2×M16×C31—22no—
87C2×M16×C31D414yescomplemented
88C22×C8×C31C2312yes—
89C22×C8×C31C2312yes—
90C31×#123—28no—
91C31×C22⋊Q8—216no—
92C31×C22⋊Q8—28no—
93C31×C22⋊Q8—24no—
94C31×C22⋊Q8—28no—
95C31×C22⋊Q8—24no—
96C31×#121—24no—
97C31×#121—24no—
98C31×#120—28no—
99C4×D4×C31—216no—
100C31×#117—22no—
101C31×#117D414yes—
102C2×C4⋊C4×C31—28no—
103C2×C4⋊C4×C31—24no—
104C2×C4⋊C4×C31—21no—
105C2×C4⋊C4×C31—22no—
106C2×C4⋊C4×C31—22no—
107C2×C4⋊C4×C31D414yescomplemented
108C2×C4⋊C4×C31C2312yes—
109C2×C4⋊C4×C31C2312yes—
110C2×C22⋊C4×C31—28no—
111C2×C22⋊C4×C31—24no—
112C2×C22⋊C4×C31—21no—
113C2×C22⋊C4×C31—22no—
114C2×C22⋊C4×C31—22no—
115C2×C42×C31—21no—
116C31×#103—24no—
117C31×#103—28no—
118C31×#102—24no—
119C31×C22⋊C8—28no—
120C24×C31—22no—
121C24×C31—24no—
122C24×C31—22no—
123C24×C31—22no—
124C24×C31—21no—
125C24×C31—42no—
126C24×C31C2×D412yes—
127C24×C31C2×D411yescharacteristic
128#41×C31—28no—
129#41×C31—28no—
130#41×C31—44no—
131#41×C31—44no—
132C2×Q8×C31—24no—
133C2×Q8×C31—22no—
134C2×Q8×C31—21no—
135C2×Q8×C31—28no—
136C2×Q8×C31—28no—
137C2×Q8×C31—22no—
138C2×Q8×C31—21no—
139C2×Q8×C31—22no—
140C2×Q8×C31—22no—
141C2×Q8×C31—21no—
142C2×Q8×C31—21no—
143C2×Q8×C31—22no—
144C2×Q8×C31—21no—
145C2×Q8×C31—42no—
146C2×Q8×C31—42no—
147C2×Q8×C31—44no—
148C2×Q8×C31—44no—
149C2×Q8×C31C2×D414yes—
150C2×Q8×C31C2×D412yes—
151C2×D4×C31—28no—
152C2×D4×C31—24no—
153C2×D4×C31—21no—
154C2×D4×C31—21no—
155C2×D4×C31—21no—
156C2×D4×C31—21no—
157C2×D4×C31—21no—
158C2×D4×C31—44no—
159C2×D4×C31—42no—
160C2×D4×C31—42no—
161C2×D4×C31—44no—
162C2×D4×C31C2×D412yes—
163C22×C4×C31—24no—
164C22×C4×C31—24no—
165C22×C4×C31—22no—
166C22×C4×C31—22no—
167C22×C4×C31—22no—
168C22×C4×C31—22no—
169C22×C4×C31—22no—
170C22×C4×C31—21no—
171C22×C4×C31—22no—
172C22×C4×C31—24no—
173C22×C4×C31—24no—
174C22×C4×C31—24no—
175C22×C4×C31—24no—
176C22×C4×C31—22no—
177C22×C4×C31—22no—
178C22×C4×C31—22no—
179C22×C4×C31—22no—
180C22×C4×C31—22no—
181C22×C4×C31—22no—
182C22×C4×C31—44no—
183C22×C4×C31—42no—
184C22×C4×C31—42no—
185C22×C4×C31—44no—
186C22×C4×C31—42no—
187C22×C4×C31—44no—
188C22×C4×C31—44no—
189C22×C4×C31—42no—
190C22×C4×C31—44no—
191C22×C4×C31C2×D412yes—
192C22×C4×C31C2×D411yescharacteristic
193C22×C4×C31C2×D412yes—
194C22×C4×C31C2×D412yes—
195C22×C4×C31C2×D412yes—
196C22×C4×C31C2×D412yes—
197C22×C4×C31C2×D412yes—
198C22×C4×C31#4112yes—
199C22×C4×C31C2411yescharacteristic
200Q16×C31—216no—
201SD16×C31—216no—
202M16×C31—28no—
203M16×C31—44no—
204C2×C8×C31—22no—
205C2×C8×C31—22no—
206C2×C8×C31—22no—
207C2×C8×C31—22no—
208C2×C8×C31—22no—
209C2×C8×C31C2×D414yes—
210C4⋊C4×C31—216no—
211C4⋊C4×C31—28no—
212C4⋊C4×C31—24no—
213C4⋊C4×C31—22no—
214C4⋊C4×C31—22no—
215C4⋊C4×C31C2×D414yes—
216C4⋊C4×C31C2×D414yes—
217C22⋊C4×C31—216no—
218C22⋊C4×C31—28no—
219C22⋊C4×C31—28no—
220C22⋊C4×C31—24no—
221C42×C31—24no—
222#23392C3111yesmaximal, characteristic, direct product factor, Sylow
223C23×C31—22no—
224C23×C31—22no—
225C23×C31—28no—
226C23×C31—22no—
227C23×C31—22no—
228C23×C31—22no—
229C23×C31—22no—
230C23×C31—22no—
231C23×C31—22no—
232C23×C31—22no—
233C23×C31—48no—
234C23×C31—48no—
235C23×C31—44no—
236C23×C31—44no—
237C23×C31—41no—
238C23×C31—41no—
239C23×C31—42no—
240C23×C31—42no—
241C23×C31#12012yes—
242C23×C31#12012yes—
243C23×C31#12112yes—
244C23×C31#13714yescomplemented
245C23×C31C22×D411yescharacteristic
246Q8×C31—24no—
247Q8×C31—22no—
248Q8×C31—24no—
249Q8×C31—22no—
250Q8×C31—42no—
251Q8×C31—41no—
252Q8×C31—42no—
253Q8×C31—41no—
254Q8×C31—48no—
255D4×C31—22no—
256D4×C31—22no—
257D4×C31—416no—
258D4×C31—48no—
259D4×C31—41no—
260D4×C31—41no—
261C2×C4×C31—24no—
262C2×C4×C31—24no—
263C2×C4×C31—22no—
264C2×C4×C31—22no—
265C2×C4×C31—24no—
266C2×C4×C31—22no—
267C2×C4×C31—22no—
268C2×C4×C31—48no—
269C2×C4×C31—41no—
270C2×C4×C31—42no—
271C2×C4×C31—41no—
272C2×C4×C31—42no—
273C2×C4×C31—42no—
274C2×C4×C31—44no—
275C2×C4×C31—42no—
276C2×C4×C31—44no—
277C2×C4×C31—48no—
278C2×C4×C31—42no—
279C2×C4×C31—42no—
280C2×C4×C31—42no—
281C2×C4×C31—42no—
282C2×C4×C31—48no—
283C2×C4×C31—48no—
284C2×C4×C31#12014yes—
285C2×C4×C31#12012yes—
286C2×C4×C31#12012yes—
287C2×C4×C31#12114yes—
288C2×C4×C31#12114yes—
289C2×C4×C31#12112yes—
290C2×C4×C31#12714yes—
291C2×C4×C31C22×D411yescharacteristic
292C2×C4×C31C22×D411yescharacteristic
293C2×C4×C31C22×D411yescharacteristic
294C2×C4×C31C22×D411yescharacteristic
295C2×C4×C31C22×D411yescharacteristic
296C2×C4×C31C2×#4111yescharacteristic
297C8×C31—24no—
298C8×C31—42no—
299C22×#137C2×C3111yescharacteristic, complemented
300C2×#525C2×C3111yescharacteristic
301C22×C22⋊Q8C2×C3111yescharacteristic, complemented
302C2×#417C2×C3111yescharacteristic, complemented
303C2×#419C2×C3111yescharacteristic, complemented
304C2×#407C2×C3111yescharacteristic, complemented
305#2001C2×C3114yescomplemented
306#2000C2×C3114yescomplemented
307#1736C2×C3111yescharacteristic, complemented
308C22×C31—22no—
309C22×C31—22no—
310C22×C31—24no—
311C22×C31—24no—
312C22×C31—24no—
313C22×C31—24no—
314C22×C31—24no—
315C22×C31—416no—
316C22×C31—42no—
317C22×C31—42no—
318C22×C31—42no—
319C22×C31—42no—
320C22×C31—42no—
321C22×C31—44no—
322C22×C31—81no—
323C22×C31—81no—
324C22×C31—82no—
325C22×C31#39214yes—
326C22×C31C2×#12011yescharacteristic
327C22×C31C2×#12011yescharacteristic
328C22×C31C2×#12111yescharacteristic
329C22×C31C2×#13712yes—
330C22×C31#57512yes—
331C4×C31—42no—
332C4×C31—42no—
333C4×C31—44no—
334C4×C31—44no—
335C4×C31—44no—
336C4×C31#39214yes—
337C4×C31C2×#12011yescharacteristic
338C4×C31C2×#12111yescharacteristic
339C4×C31C2×#12111yescharacteristic
340C4×C31C2×#12711yescharacteristic
341C22×#41C22×C3111yescharacteristic
342C23×Q8C22×C3111yescharacteristic
343C24×C4C22×C3111yescharacteristic
344C2×#137—24no—
345C2×#137—24no—
346C2×#137—24no—
347C22×Q16C22×C3112yescomplemented
348C22×SD16C22×C3112yescomplemented
349C22×M16C22×C3111yescharacteristic
350C22×M16C22×C3111yescharacteristic
351#525—24no—
352#525—24no—
353C2×#123—21no—
354C2×C22⋊Q8—24no—
355C2×C22⋊Q8—22no—
356C2×C22⋊Q8—24no—
357C2×C22⋊Q8C22×C3114yes—
358C2×C22⋊Q8C22×C3112yes—
359C2×#121C22×C3112yes—
360C2×#120—21no—
361C2×C4×D4—22no—
362C2×#117C22×C3111yescharacteristic
363C22×C4⋊C4—21no—
364C22×C4⋊C4C22×C3111yescharacteristic
365C22×C22⋊C4—21no—
366#419—24no—
367#417—24no—
368C2×#103C22×C3114yescomplemented
369C2×#103C22×C3112yescomplemented
370C2×#102C22×C3112yescomplemented
371#407—24no—
372C2×C22⋊C8C22×C3114yes—
373#340C22×C3114yescomplemented
374C2×C31—24no—
375C2×C31—44no—
376C2×C31—82no—
377C2×C31C2×#39211yescharacteristic
378C2×C31#300411yescharacteristic
379C2×C31#300511yescharacteristic
380C2×C31#300712yes—
381C2×C31#305612yes—
382C25D4×C3111yescharacteristic
383C2×#41—22no—
384C2×#41—22no—
385C2×#41—22no—
386C2×#41—22no—
387C2×#41—22no—
388C2×#41D4×C3114yes—
389C22×Q8—22no—
390C22×Q8—21no—
391C22×Q8—22no—
392C22×Q8—22no—
393C22×Q8—22no—
394C22×Q8—22no—
395C22×Q8D4×C3114yescomplemented
396C22×Q8C23×C3112yes—
397C22×Q8C23×C3111yescharacteristic
398C22×D4—22no—
399C22×D4—21no—
400C22×D4C23×C3111yescharacteristic
401C23×C4—21no—
402C23×C4—21no—
403C23×C4—21no—
404C23×C4—22no—
405C23×C4—22no—
406C23×C4—22no—
407C23×C4—22no—
408C23×C4—22no—
409C23×C4—22no—
410C23×C4D4×C3111yescharacteristic
411C23×C4D4×C3112yes—
412C23×C4C23×C3112yes—
413C23×C4C23×C3111yescharacteristic
414#137—232no—
415C2×Q16—24no—
416C2×Q16—24no—
417C2×Q16—24no—
418C2×SD16—24no—
419C2×SD16—24no—
420C2×SD16—24no—
421C2×M16—22no—
422C2×M16—22no—
423C2×M16—22no—
424C2×M16—22no—
425C2×M16—22no—
426C2×M16D4×C3114yescomplemented
427C22×C8C23×C3112yes—
428C22×C8C23×C3112yes—
429#123—28no—
430C22⋊Q8—216no—
431C22⋊Q8—28no—
432C22⋊Q8—24no—
433C22⋊Q8—28no—
434C22⋊Q8—24no—
435#121—24no—
436#121—24no—
437#120—28no—
438C4×D4—216no—
439#117—22no—
440#117D4×C3114yes—
441C2×C4⋊C4—28no—
442C2×C4⋊C4—24no—
443C2×C4⋊C4—21no—
444C2×C4⋊C4—22no—
445C2×C4⋊C4—22no—
446C2×C4⋊C4D4×C3114yescomplemented
447C2×C4⋊C4C23×C3112yes—
448C2×C4⋊C4C23×C3112yes—
449C2×C22⋊C4—28no—
450C2×C22⋊C4—24no—
451C2×C22⋊C4—21no—
452C2×C22⋊C4—22no—
453C2×C22⋊C4—22no—
454C2×C42—21no—
455#103—24no—
456#103—28no—
457#102—24no—
458C22⋊C8—28no—
459C31#2339211yescharacteristic, direct product factor, Sylow
460C24—22no—
461C24—24no—
462C24—22no—
463C24—22no—
464C24—21no—
465C24—42no—
466C24C2×D4×C3112yes—
467C24C2×D4×C3111yescharacteristic
468#41—28no—
469#41—28no—
470#41—44no—
471#41—44no—
472C2×Q8—24no—
473C2×Q8—22no—
474C2×Q8—21no—
475C2×Q8—28no—
476C2×Q8—28no—
477C2×Q8—22no—
478C2×Q8—21no—
479C2×Q8—22no—
480C2×Q8—22no—
481C2×Q8—21no—
482C2×Q8—21no—
483C2×Q8—22no—
484C2×Q8—21no—
485C2×Q8—42no—
486C2×Q8—42no—
487C2×Q8—44no—
488C2×Q8—44no—
489C2×Q8C2×D4×C3114yes—
490C2×Q8C2×D4×C3112yes—
491C2×D4—28no—
492C2×D4—24no—
493C2×D4—21no—
494C2×D4—21no—
495C2×D4—21no—
496C2×D4—21no—
497C2×D4—21no—
498C2×D4—44no—
499C2×D4—42no—
500C2×D4—42no—
501C2×D4—44no—
502C2×D4C2×D4×C3112yes—
503C22×C4—24no—
504C22×C4—24no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—22no—
510C22×C4—21no—
511C22×C4—22no—
512C22×C4—24no—
513C22×C4—24no—
514C22×C4—24no—
515C22×C4—24no—
516C22×C4—22no—
517C22×C4—22no—
518C22×C4—22no—
519C22×C4—22no—
520C22×C4—22no—
521C22×C4—22no—
522C22×C4—44no—
523C22×C4—42no—
524C22×C4—42no—
525C22×C4—44no—
526C22×C4—42no—
527C22×C4—44no—
528C22×C4—44no—
529C22×C4—42no—
530C22×C4—44no—
531C22×C4C2×D4×C3112yes—
532C22×C4C2×D4×C3111yescharacteristic
533C22×C4C2×D4×C3112yes—
534C22×C4C2×D4×C3112yes—
535C22×C4C2×D4×C3112yes—
536C22×C4C2×D4×C3112yes—
537C22×C4C2×D4×C3112yes—
538C22×C4#41×C3112yes—
539C22×C4C24×C3111yescharacteristic
540Q16—216no—
541SD16—216no—
542M16—28no—
543M16—44no—
544C2×C8—22no—
545C2×C8—22no—
546C2×C8—22no—
547C2×C8—22no—
548C2×C8—22no—
549C2×C8C2×D4×C3114yes—
550C4⋊C4—216no—
551C4⋊C4—28no—
552C4⋊C4—24no—
553C4⋊C4—22no—
554C4⋊C4—22no—
555C4⋊C4C2×D4×C3114yes—
556C4⋊C4C2×D4×C3114yes—
557C22⋊C4—216no—
558C22⋊C4—28no—
559C22⋊C4—28no—
560C22⋊C4—24no—
561C42—24no—
562C23—22no—
563C23—22no—
564C23—28no—
565C23—22no—
566C23—22no—
567C23—22no—
568C23—22no—
569C23—22no—
570C23—22no—
571C23—22no—
572C23—48no—
573C23—48no—
574C23—44no—
575C23—44no—
576C23—41no—
577C23—41no—
578C23—42no—
579C23—42no—
580C23C31×#12012yes—
581C23C31×#12012yes—
582C23C31×#12112yes—
583C23C31×#13714yescomplemented
584C23C22×D4×C3111yescharacteristic
585Q8—24no—
586Q8—22no—
587Q8—24no—
588Q8—22no—
589Q8—42no—
590Q8—41no—
591Q8—42no—
592Q8—41no—
593Q8—48no—
594D4—22no—
595D4—22no—
596D4—416no—
597D4—48no—
598D4—41no—
599D4—41no—
600C2×C4—24no—
601C2×C4—24no—
602C2×C4—22no—
603C2×C4—22no—
604C2×C4—24no—
605C2×C4—22no—
606C2×C4—22no—
607C2×C4—48no—
608C2×C4—41no—
609C2×C4—42no—
610C2×C4—41no—
611C2×C4—42no—
612C2×C4—42no—
613C2×C4—44no—
614C2×C4—42no—
615C2×C4—44no—
616C2×C4—48no—
617C2×C4—42no—
618C2×C4—42no—
619C2×C4—42no—
620C2×C4—42no—
621C2×C4—48no—
622C2×C4—48no—
623C2×C4C31×#12014yes—
624C2×C4C31×#12012yes—
625C2×C4C31×#12012yes—
626C2×C4C31×#12114yes—
627C2×C4C31×#12114yes—
628C2×C4C31×#12112yes—
629C2×C4C31×#12714yes—
630C2×C4C22×D4×C3111yescharacteristic
631C2×C4C22×D4×C3111yescharacteristic
632C2×C4C22×D4×C3111yescharacteristic
633C2×C4C22×D4×C3111yescharacteristic
634C2×C4C22×D4×C3111yescharacteristic
635C2×C4C2×#41×C3111yescharacteristic
636C8—24no—
637C8—42no—
638C22—22no—
639C22—22no—
640C22—24no—
641C22—24no—
642C22—24no—
643C22—24no—
644C22—24no—
645C22—416no—
646C22—42no—
647C22—42no—
648C22—42no—
649C22—42no—
650C22—42no—
651C22—44no—
652C22—81no—
653C22—81no—
654C22—82no—
655C22C31×#39214yes—
656C22C2×C31×#12011yescharacteristic
657C22C2×C31×#12011yescharacteristic
658C22C2×C31×#12111yescharacteristic
659C22C2×C31×#13712yes—
660C22C31×#57512yes—
661C4—42no—
662C4—42no—
663C4—44no—
664C4—44no—
665C4—44no—
666C4C31×#39214yes—
667C4C2×C31×#12011yescharacteristic
668C4C2×C31×#12111yescharacteristic
669C4C2×C31×#12111yescharacteristic
670C4C2×C31×#12711yescharacteristic
671C2—24no—
672C2—44no—
673C2—82no—
674C2C2×C31×#39211yescharacteristic
675C2C31×#300411yescharacteristic
676C2C31×#300511yescharacteristic
677C2C31×#300712yes—
678C2C31×#305612yes—
subgroupG/H
center, socleC23×C31C22×D4
commutator, Frattini, cosocleC22×C4C24×C31
prime radicalC2×C31×#525C2
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
1. C22×C31×#137C2semidirect
3. C22×C31×C22⋊Q8C2semidirect
4. C2×C31×#417C2semidirect
5. C2×C31×#419C2semidirect
6. C2×C31×#407C2semidirect
7. C31×#2001C2semidirect
8. C31×#2000C2semidirect
9. C31×#1736C2semidirect
16. C22×Q16×C31C22semidirect
17. C22×SD16×C31C22semidirect
37. C2×C31×#103C22semidirect
38. C2×C31×#103C22semidirect
39. C2×C31×#102C22semidirect
42. C31×#340C22semidirect
56. C22×Q8×C31D4semidirect
87. C2×M16×C31D4semidirect
107. C2×C4⋊C4×C31D4semidirect
222. #23392C31direct (N × H)
244. C23×C31#137semidirect
299. C22×#137C2×C31semidirect
301. C22×C22⋊Q8C2×C31semidirect
302. C2×#417C2×C31semidirect
303. C2×#419C2×C31semidirect
304. C2×#407C2×C31semidirect
305. #2001C2×C31semidirect
306. #2000C2×C31semidirect
307. #1736C2×C31semidirect
347. C22×Q16C22×C31semidirect
348. C22×SD16C22×C31semidirect
368. C2×#103C22×C31semidirect
369. C2×#103C22×C31semidirect
370. C2×#102C22×C31semidirect
373. #340C22×C31semidirect
395. C22×Q8D4×C31semidirect
426. C2×M16D4×C31semidirect
446. C2×C4⋊C4D4×C31semidirect
459. C31#23392direct (N × H)
583. C23C31×#137semidirect

Maximal subgroups

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

subgroupindex
C22×C31×#1372
C2×C31×#5252
C22×C31×C22⋊Q82
C2×C31×#4172
C2×C31×#4192
C2×C31×#4072
C31×#20012
C31×#20002
C31×#17362
#2339231