Finite Group Databasebeta

← C31×#25198 #21481957

Subgroups — C31×#25198 #21481957

Order 7936.

958 conjugacy classes of subgroups.

The subgroup lattice has 716 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C31×#3069C211yesmaximal, characteristic, complemented
2C31×#3069C211yesmaximal, characteristic, complemented
3C31×#3020C211yesmaximal, characteristic
4C2×C31×#456C211yesmaximal, characteristic, complemented
5C31×#2956C211yesmaximal, characteristic, complemented
6C31×#2889C211yesmaximal, characteristic, complemented
7C31×#2070C211yesmaximal, characteristic, complemented
8C31×#2050C211yesmaximal, characteristic, complemented
9C31×#2049C211yesmaximal, characteristic, complemented
10C31×#2005C211yesmaximal, characteristic, complemented
11C31×#1966C211yesmaximal, characteristic, complemented
12C31×#1932C211yesmaximal, characteristic, complemented
13C31×#1915C211yesmaximal, characteristic, complemented
14C31×#1902C211yesmaximal, characteristic, complemented
15C31×#1861C211yesmaximal, characteristic, complemented
16C2×C31×2−1+4C2211yescharacteristic
17C31×#575C2211yescharacteristic
18C31×#575C2211yescharacteristic
19C2×C31×#137C2211yescharacteristic
20C2×C31×#137C2211yescharacteristic
21C2×C31×#137C2211yescharacteristic
22C31×#568C2211yescharacteristic
23C31×#568C2211yescharacteristic
24C31×#568C2211yescharacteristic
25C31×#536C2211yescharacteristic
26C2×C31×C4⋊Q8C2211yescharacteristic
27C31×#473—22no—
28C31×#473—22no—
29C31×#471—22no—
30C31×#471—22no—
31C31×#456—22no—
32C31×#456—22no—
33C31×#456—22no—
34C31×#454—22no—
35C31×#444—22no—
36C31×#443—22no—
37C31×#430C2211yescharacteristic
38C31×#430C2211yescharacteristic
39C31×#430C2211yescharacteristic
40C31×#423C2211yescharacteristic
41C31×#421C2211yescharacteristic
42C31×#421C2211yescharacteristic
43C2×C31×#104C2211yescharacteristic
44C2×C31×#104C2211yescharacteristic
45C2×C31×#104C2211yescharacteristic
46C31×#419C2211yescharacteristic
47C31×#413—22no—
48C31×#413C2211yescharacteristic
49C31×#413C2211yescharacteristic
50C31×#413C2211yescharacteristic
51C2×C31×#101—22no—
52C2×C31×#101C2211yescharacteristic
53C2×C31×#101C2211yescharacteristic
54C2×C31×#101C2211yescharacteristic
55C2×C31×#101C2211yescharacteristic
56C2×C31×#101C2211yescharacteristic
57C2×C31×#101C2211yescharacteristic
58C4×M16×C31C2211yescharacteristic
59C31×#344C2211yescharacteristic
60C31×#344C2211yescharacteristic
61C31×#339C2211yescharacteristic
62C31×#338C2211yescharacteristic
63C31×2−1+4—22no—
64C31×2−1+4—22no—
65C31×2−1+4—41no—
66C31×2−1+4—41no—
67C2×#41×C31—21no—
68C2×#41×C31—21no—
69C2×#41×C31—22no—
70C2×#41×C31C2311yescharacteristic
71C2×#41×C31C2311yescharacteristic
72C2×#41×C31C2311yescharacteristic
73C22×Q8×C31—21no—
74C22×Q8×C31—21no—
75C22×Q8×C31C2311yescharacteristic
76C22×Q8×C31C2311yescharacteristic
77C31×#137—21no—
78C31×#137—22no—
79C31×#137—22no—
80C31×#137—21no—
81C31×#137—21no—
82C31×#137—22no—
83C31×#137—22no—
84C31×#137—41no—
85C31×#137—41no—
86C31×#137D412yes—
87C31×AGL(1,ℤ/8)—21no—
88C31×AGL(1,ℤ/8)—21no—
89C31×AGL(1,ℤ/8)—21no—
90C31×AGL(1,ℤ/8)D412yes—
91C31×#135—22no—
92C31×#135—41no—
93C2×Q16×C31—21no—
94C2×Q16×C31—21no—
95C2×Q16×C31—21no—
96C2×SD16×C31—21no—
97C2×SD16×C31—21no—
98C2×SD16×C31—21no—
99C31×#131—22no—
100C31×#131—22no—
101C31×#131—22no—
102C31×#131—22no—
103C31×#131—41no—
104C31×#131—41no—
105C2×M16×C31—22no—
106C2×M16×C31—22no—
107C2×M16×C31—41no—
108C2×M16×C31C2311yescharacteristic
109C2×M16×C31C2311yescharacteristic
110C2×M16×C31C2311yescharacteristic
111C2×M16×C31C2311yescharacteristic
112C2×M16×C31C2311yescharacteristic
113C2×M16×C31C2311yescharacteristic
114C2×M16×C31C2311yescharacteristic
115C2×M16×C31C2311yescharacteristic
116C31×C4⋊Q8—21no—
117C31×C4⋊Q8—21no—
118C31×C4⋊Q8—21no—
119C31×C4⋊Q8—41no—
120C31×#124—21no—
121C31×#123—22no—
122C31×C22⋊Q8—41no—
123C31×#117C2311yescharacteristic
124C2×C4⋊C4×C31—22no—
125C2×C42×C31C2311yescharacteristic
126C31×#108—22no—
127C31×#108—22no—
128C31×#108—22no—
129C31×C4⋊C8—41no—
130C31×#104—22no—
131C31×#104—22no—
132C31×#104—21no—
133C31×#104—21no—
134C31×#104—21no—
135C31×#104—21no—
136C31×#104D412yes—
137C31×#104D412yes—
138C31×#103—41no—
139C31×#101—21no—
140C31×#101—21no—
141C31×#101—22no—
142C31×#101—22no—
143C31×#101—22no—
144C31×#101—22no—
145C31×#101—22no—
146C31×#101—22no—
147C31×#101D412yes—
148C31×#100—21no—
149C31×#100—21no—
150C31×#100D412yes—
151C31×#97—21no—
152C4×C8×C31—21no—
153#41×C31—21no—
154#41×C31—21no—
155#41×C31—21no—
156#41×C31—21no—
157#41×C31—21no—
158#41×C31—21no—
159#41×C31—21no—
160#41×C31—21no—
161#41×C31—21no—
162#41×C31—21no—
163#41×C31—42no—
164#41×C31—42no—
165#41×C31—44no—
166#41×C31—44no—
167#41×C31—42no—
168#41×C31—42no—
169#41×C31C2×D412yes—
170#41×C31C2×D412yes—
171C2×Q8×C31—22no—
172C2×Q8×C31—21no—
173C2×Q8×C31—21no—
174C2×Q8×C31—21no—
175C2×Q8×C31—21no—
176C2×Q8×C31—21no—
177C2×Q8×C31—21no—
178C2×Q8×C31—21no—
179C2×Q8×C31—21no—
180C2×Q8×C31—21no—
181C2×Q8×C31—21no—
182C2×Q8×C31—21no—
183C2×Q8×C31—21no—
184C2×Q8×C31—42no—
185C2×Q8×C31—42no—
186C2×Q8×C31—42no—
187C2×Q8×C31—42no—
188C2×Q8×C31C2×D411yescharacteristic
189C2×Q8×C31C2×D411yescharacteristic
190C2×Q8×C31#4111yescharacteristic
191C2×D4×C31—21no—
192C2×D4×C31—22no—
193C2×D4×C31—21no—
194C2×D4×C31—21no—
195C2×D4×C31C2×D411yescharacteristic
196C2×D4×C31C2×D411yescharacteristic
197C2×D4×C31#4111yescharacteristic
198C22×C4×C31—21no—
199C22×C4×C31—22no—
200C22×C4×C31—22no—
201C22×C4×C31—21no—
202C22×C4×C31—21no—
203C22×C4×C31—21no—
204C22×C4×C31—21no—
205C22×C4×C31#4112yes—
206C22×C4×C31C2411yescharacteristic
207Q16×C31—22no—
208Q16×C31—42no—
209Q16×C31—42no—
210Q16×C31—41no—
211Q16×C31—42no—
212SD16×C31—22no—
213SD16×C31—22no—
214SD16×C31—42no—
215SD16×C31—42no—
216SD16×C31—41no—
217SD16×C31—41no—
218SD16×C31—42no—
219D8×C31—22no—
220D8×C31—41no—
221M16×C31—21no—
222M16×C31—21no—
223M16×C31—21no—
224M16×C31—21no—
225M16×C31—21no—
226M16×C31—21no—
227M16×C31—21no—
228M16×C31—21no—
229M16×C31—21no—
230M16×C31—21no—
231M16×C31—21no—
232M16×C31—21no—
233M16×C31—42no—
234M16×C31—42no—
235M16×C31—42no—
236M16×C31C2×D412yes—
237M16×C31C2×D412yes—
238M16×C31C2×D412yes—
239M16×C31C2×D412yes—
240C2×C8×C31—21no—
241C2×C8×C31—21no—
242C2×C8×C31—21no—
243C2×C8×C31—21no—
244C2×C8×C31—21no—
245C2×C8×C31—21no—
246C2×C8×C31—21no—
247C2×C8×C31—21no—
248C2×C8×C31—42no—
249C2×C8×C31—42no—
250C2×C8×C31—42no—
251C4⋊C4×C31—21no—
252C4⋊C4×C31—42no—
253C4⋊C4×C31—42no—
254C4⋊C4×C31—42no—
255C22⋊C4×C31—21no—
256C22⋊C4×C31—42no—
257C42×C31—21no—
258C42×C31—21no—
259C42×C31C2×D411yescharacteristic
260C42×C31C2×D411yescharacteristic
261#25198C3111yesmaximal, characteristic, direct product factor, Sylow
262C23×C31—21no—
263C23×C31—21no—
264C23×C31—21no—
265C23×C31C2×#4111yescharacteristic
266Q8×C31—21no—
267Q8×C31—21no—
268Q8×C31—21no—
269Q8×C31—21no—
270Q8×C31—21no—
271Q8×C31—44no—
272Q8×C31—41no—
273Q8×C31—41no—
274Q8×C31—41no—
275Q8×C31—41no—
276Q8×C31—41no—
277Q8×C31—41no—
278Q8×C31—41no—
279Q8×C31—41no—
280Q8×C31#12112yes—
281D4×C31—22no—
282D4×C31—22no—
283D4×C31—21no—
284D4×C31—21no—
285D4×C31—21no—
286D4×C31—21no—
287D4×C31—21no—
288D4×C31—44no—
289D4×C31—41no—
290D4×C31—41no—
291D4×C31—41no—
292D4×C31—41no—
293D4×C31#12112yes—
294C2×C4×C31—21no—
295C2×C4×C31—21no—
296C2×C4×C31—22no—
297C2×C4×C31—22no—
298C2×C4×C31—21no—
299C2×C4×C31—22no—
300C2×C4×C31—21no—
301C2×C4×C31—22no—
302C2×C4×C31—21no—
303C2×C4×C31—22no—
304C2×C4×C31—42no—
305C2×C4×C31—44no—
306C2×C4×C31—44no—
307C2×C4×C31—41no—
308C2×C4×C31—41no—
309C2×C4×C31—41no—
310C2×C4×C31—41no—
311C2×C4×C31—41no—
312C2×C4×C31—41no—
313C2×C4×C31—41no—
314C2×C4×C31—41no—
315C2×C4×C31C22×D411yescharacteristic
316C2×C4×C31C22×D411yescharacteristic
317C2×C4×C31C22×D411yescharacteristic
318C2×C4×C31C2×#4111yescharacteristic
319C2×C4×C31H(5,𝔽2)11yescharacteristic
320C2×C4×C31H(5,𝔽2)11yescharacteristic
321C8×C31—22no—
322C8×C31—22no—
323C8×C31—22no—
324C8×C31—22no—
325C8×C31—41no—
326C8×C31—41no—
327C8×C31—41no—
328C8×C31—41no—
329#3069C2×C3111yescharacteristic, complemented
330#3069C2×C3111yescharacteristic, complemented
331#3020C2×C3111yescharacteristic
332C2×#456C2×C3111yescharacteristic, complemented
333#2956C2×C3111yescharacteristic, complemented
334#2889C2×C3111yescharacteristic, complemented
335#2070C2×C3111yescharacteristic, complemented
336#2050C2×C3111yescharacteristic, complemented
337#2049C2×C3111yescharacteristic, complemented
338#2005C2×C3111yescharacteristic, complemented
339#1966C2×C3111yescharacteristic, complemented
340#1932C2×C3111yescharacteristic, complemented
341#1915C2×C3111yescharacteristic, complemented
342#1902C2×C3111yescharacteristic, complemented
343#1861C2×C3111yescharacteristic, complemented
344C22×C31—22no—
345C22×C31—41no—
346C22×C31—41no—
347C22×C31—41no—
348C22×C31—81no—
349C22×C31—81no—
350C22×C31—81no—
351C22×C31#52511yescharacteristic
352C22×C31#54611yescharacteristic
353C22×C31#54611yescharacteristic
354C4×C31—22no—
355C4×C31—22no—
356C4×C31—41no—
357C4×C31—42no—
358C4×C31—41no—
359C4×C31—41no—
360C4×C31—81no—
361C4×C31—81no—
362C4×C31C2×#12111yescharacteristic
363C4×C31#53811yescharacteristic
364C4×C31D4211yescharacteristic
365C4×C31D4211yescharacteristic
366C2×2−1+4C22×C3111yescharacteristic
367#575C22×C3111yescharacteristic
368#575C22×C3111yescharacteristic
369C2×#137C22×C3111yescharacteristic
370C2×#137C22×C3111yescharacteristic
371C2×#137C22×C3111yescharacteristic
372#568C22×C3111yescharacteristic
373#568C22×C3111yescharacteristic
374#568C22×C3111yescharacteristic
375#536C22×C3111yescharacteristic
376C2×C4⋊Q8C22×C3111yescharacteristic
377#473—22no—
378#473—22no—
379#471—22no—
380#471—22no—
381#456—22no—
382#456—22no—
383#456—22no—
384#454—22no—
385#444—22no—
386#443—22no—
387#430C22×C3111yescharacteristic
388#430C22×C3111yescharacteristic
389#430C22×C3111yescharacteristic
390#423C22×C3111yescharacteristic
391#421C22×C3111yescharacteristic
392#421C22×C3111yescharacteristic
393C2×#104C22×C3111yescharacteristic
394C2×#104C22×C3111yescharacteristic
395C2×#104C22×C3111yescharacteristic
396#419C22×C3111yescharacteristic
397#413—22no—
398#413C22×C3111yescharacteristic
399#413C22×C3111yescharacteristic
400#413C22×C3111yescharacteristic
401C2×#101—22no—
402C2×#101C22×C3111yescharacteristic
403C2×#101C22×C3111yescharacteristic
404C2×#101C22×C3111yescharacteristic
405C2×#101C22×C3111yescharacteristic
406C2×#101C22×C3111yescharacteristic
407C2×#101C22×C3111yescharacteristic
408C4×M16C22×C3111yescharacteristic
409#344C22×C3111yescharacteristic
410#344C22×C3111yescharacteristic
411#339C22×C3111yescharacteristic
412#338C22×C3111yescharacteristic
413C2×C31—21no—
414C2×C31—21no—
415C2×C31—21no—
416C2×C31—42no—
417C2×C31—81no—
418C2×C31—81no—
419C2×C31#242411yescharacteristic
4202−1+4—22no—
4212−1+4—22no—
4222−1+4—41no—
4232−1+4—41no—
424C2×#41—21no—
425C2×#41—21no—
426C2×#41—22no—
427C2×#41C23×C3111yescharacteristic
428C2×#41C23×C3111yescharacteristic
429C2×#41C23×C3111yescharacteristic
430C22×Q8—21no—
431C22×Q8—21no—
432C22×Q8C23×C3111yescharacteristic
433C22×Q8C23×C3111yescharacteristic
434#137—21no—
435#137—22no—
436#137—22no—
437#137—21no—
438#137—21no—
439#137—22no—
440#137—22no—
441#137—41no—
442#137—41no—
443#137D4×C3112yes—
444AGL(1,ℤ/8)—21no—
445AGL(1,ℤ/8)—21no—
446AGL(1,ℤ/8)—21no—
447AGL(1,ℤ/8)D4×C3112yes—
448#135—22no—
449#135—41no—
450C2×Q16—21no—
451C2×Q16—21no—
452C2×Q16—21no—
453C2×SD16—21no—
454C2×SD16—21no—
455C2×SD16—21no—
456#131—22no—
457#131—22no—
458#131—22no—
459#131—22no—
460#131—41no—
461#131—41no—
462C2×M16—22no—
463C2×M16—22no—
464C2×M16—41no—
465C2×M16C23×C3111yescharacteristic
466C2×M16C23×C3111yescharacteristic
467C2×M16C23×C3111yescharacteristic
468C2×M16C23×C3111yescharacteristic
469C2×M16C23×C3111yescharacteristic
470C2×M16C23×C3111yescharacteristic
471C2×M16C23×C3111yescharacteristic
472C2×M16C23×C3111yescharacteristic
473C4⋊Q8—21no—
474C4⋊Q8—21no—
475C4⋊Q8—21no—
476C4⋊Q8—41no—
477#124—21no—
478#123—22no—
479C22⋊Q8—41no—
480#117C23×C3111yescharacteristic
481C2×C4⋊C4—22no—
482C2×C42C23×C3111yescharacteristic
483#108—22no—
484#108—22no—
485#108—22no—
486C4⋊C8—41no—
487#104—22no—
488#104—22no—
489#104—21no—
490#104—21no—
491#104—21no—
492#104—21no—
493#104D4×C3112yes—
494#104D4×C3112yes—
495#103—41no—
496#101—21no—
497#101—21no—
498#101—22no—
499#101—22no—
500#101—22no—
501#101—22no—
502#101—22no—
503#101—22no—
504#101D4×C3112yes—
505#100—21no—
506#100—21no—
507#100D4×C3112yes—
508#97—21no—
509C4×C8—21no—
510C31#2519811yescharacteristic, direct product factor, Sylow
511#41—21no—
512#41—21no—
513#41—21no—
514#41—21no—
515#41—21no—
516#41—21no—
517#41—21no—
518#41—21no—
519#41—21no—
520#41—21no—
521#41—42no—
522#41—42no—
523#41—44no—
524#41—44no—
525#41—42no—
526#41—42no—
527#41C2×D4×C3112yes—
528#41C2×D4×C3112yes—
529C2×Q8—22no—
530C2×Q8—21no—
531C2×Q8—21no—
532C2×Q8—21no—
533C2×Q8—21no—
534C2×Q8—21no—
535C2×Q8—21no—
536C2×Q8—21no—
537C2×Q8—21no—
538C2×Q8—21no—
539C2×Q8—21no—
540C2×Q8—21no—
541C2×Q8—21no—
542C2×Q8—42no—
543C2×Q8—42no—
544C2×Q8—42no—
545C2×Q8—42no—
546C2×Q8C2×D4×C3111yescharacteristic
547C2×Q8C2×D4×C3111yescharacteristic
548C2×Q8#41×C3111yescharacteristic
549C2×D4—21no—
550C2×D4—22no—
551C2×D4—21no—
552C2×D4—21no—
553C2×D4C2×D4×C3111yescharacteristic
554C2×D4C2×D4×C3111yescharacteristic
555C2×D4#41×C3111yescharacteristic
556C22×C4—21no—
557C22×C4—22no—
558C22×C4—22no—
559C22×C4—21no—
560C22×C4—21no—
561C22×C4—21no—
562C22×C4—21no—
563C22×C4#41×C3112yes—
564C22×C4C24×C3111yescharacteristic
565Q16—22no—
566Q16—42no—
567Q16—42no—
568Q16—41no—
569Q16—42no—
570SD16—22no—
571SD16—22no—
572SD16—42no—
573SD16—42no—
574SD16—41no—
575SD16—41no—
576SD16—42no—
577D8—22no—
578D8—41no—
579M16—21no—
580M16—21no—
581M16—21no—
582M16—21no—
583M16—21no—
584M16—21no—
585M16—21no—
586M16—21no—
587M16—21no—
588M16—21no—
589M16—21no—
590M16—21no—
591M16—42no—
592M16—42no—
593M16—42no—
594M16C2×D4×C3112yes—
595M16C2×D4×C3112yes—
596M16C2×D4×C3112yes—
597M16C2×D4×C3112yes—
598C2×C8—21no—
599C2×C8—21no—
600C2×C8—21no—
601C2×C8—21no—
602C2×C8—21no—
603C2×C8—21no—
604C2×C8—21no—
605C2×C8—21no—
606C2×C8—42no—
607C2×C8—42no—
608C2×C8—42no—
609C4⋊C4—21no—
610C4⋊C4—42no—
611C4⋊C4—42no—
612C4⋊C4—42no—
613C22⋊C4—21no—
614C22⋊C4—42no—
615C42—21no—
616C42—21no—
617C42C2×D4×C3111yescharacteristic
618C42C2×D4×C3111yescharacteristic
619C23—21no—
620C23—21no—
621C23—21no—
622C23C2×#41×C3111yescharacteristic
623Q8—21no—
624Q8—21no—
625Q8—21no—
626Q8—21no—
627Q8—21no—
628Q8—44no—
629Q8—41no—
630Q8—41no—
631Q8—41no—
632Q8—41no—
633Q8—41no—
634Q8—41no—
635Q8—41no—
636Q8—41no—
637Q8C31×#12112yes—
638D4—22no—
639D4—22no—
640D4—21no—
641D4—21no—
642D4—21no—
643D4—21no—
644D4—21no—
645D4—44no—
646D4—41no—
647D4—41no—
648D4—41no—
649D4—41no—
650D4C31×#12112yes—
651C2×C4—21no—
652C2×C4—21no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—21no—
656C2×C4—22no—
657C2×C4—21no—
658C2×C4—22no—
659C2×C4—21no—
660C2×C4—22no—
661C2×C4—42no—
662C2×C4—44no—
663C2×C4—44no—
664C2×C4—41no—
665C2×C4—41no—
666C2×C4—41no—
667C2×C4—41no—
668C2×C4—41no—
669C2×C4—41no—
670C2×C4—41no—
671C2×C4—41no—
672C2×C4C22×D4×C3111yescharacteristic
673C2×C4C22×D4×C3111yescharacteristic
674C2×C4C22×D4×C3111yescharacteristic
675C2×C4C2×#41×C3111yescharacteristic
676C2×C4C31×H(5,𝔽2)11yescharacteristic
677C2×C4C31×H(5,𝔽2)11yescharacteristic
678C8—22no—
679C8—22no—
680C8—22no—
681C8—22no—
682C8—41no—
683C8—41no—
684C8—41no—
685C8—41no—
686C22—22no—
687C22—41no—
688C22—41no—
689C22—41no—
690C22—81no—
691C22—81no—
692C22—81no—
693C22C31×#52511yescharacteristic
694C22C31×#54611yescharacteristic
695C22C31×#54611yescharacteristic
696C4—22no—
697C4—22no—
698C4—41no—
699C4—42no—
700C4—41no—
701C4—41no—
702C4—81no—
703C4—81no—
704C4C2×C31×#12111yescharacteristic
705C4C31×#53811yescharacteristic
706C4D42×C3111yescharacteristic
707C4D42×C3111yescharacteristic
708C2—21no—
709C2—21no—
710C2—21no—
711C2—42no—
712C2—81no—
713C2—81no—
714C2C31×#242411yescharacteristic
subgroupG/H
center, socleC2×C31#2424
commutator, Frattini, cosocleC22×C4C24×C31
prime radicalC31×#3020C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C2×C31 ◁ C22×C4×C31 ◁ G

Complements

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

NH ≅ G/Ntype
1. C31×#3069C2semidirect
2. C31×#3069C2semidirect
4. C2×C31×#456C2semidirect
5. C31×#2956C2semidirect
6. C31×#2889C2semidirect
7. C31×#2070C2semidirect
8. C31×#2050C2semidirect
9. C31×#2049C2semidirect
10. C31×#2005C2semidirect
11. C31×#1966C2semidirect
12. C31×#1932C2semidirect
13. C31×#1915C2semidirect
14. C31×#1902C2semidirect
15. C31×#1861C2semidirect
261. #25198C31direct (N × H)
329. #3069C2×C31semidirect
330. #3069C2×C31semidirect
332. C2×#456C2×C31semidirect
333. #2956C2×C31semidirect
334. #2889C2×C31semidirect
335. #2070C2×C31semidirect
336. #2050C2×C31semidirect
337. #2049C2×C31semidirect
338. #2005C2×C31semidirect
339. #1966C2×C31semidirect
340. #1932C2×C31semidirect
341. #1915C2×C31semidirect
342. #1902C2×C31semidirect
343. #1861C2×C31semidirect
510. C31#25198direct (N × H)

Maximal subgroups

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

subgroupindex
C31×#30692
C31×#30202
C2×C31×#4562
C31×#29562
C31×#28892
C31×#20702
C31×#20502
C31×#20492
C31×#20052
C31×#19662
C31×#19322
C31×#19152
C31×#19022
C31×#18612
#2519831