Finite Group Databasebeta

← C31×#13346 #21470105

Subgroups — C31×#13346 #21470105

Order 7936.

1022 conjugacy classes of subgroups; only the 98 normal subgroups are shown.

normal subgroups only

This group has 1022 conjugacy classes of subgroups — too many to draw. Only its 98 normal subgroups are shown.

Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C31×B(4,𝔽2)C211yesmaximal, characteristic, complemented
2C2×C31×#453C211yesmaximal, characteristic, complemented
3C31×#2669C211yesmaximal, characteristic, complemented
4C2×C31×#353C211yesmaximal, characteristic, complemented
5C2×C31×AΣL(1,𝔽16)C211yesmaximal, characteristic, complemented
6C31×#1790C211yesmaximal, characteristic, complemented
7C31×#1390C211yesmaximal, characteristic, complemented
8C2×C31×H(5,𝔽2)C2211yescharacteristic
9C2×C31×AGL(1,ℤ/8)—21no—
10C2×C31×#127C2211yescharacteristic
11C2×C31×#121—21no—
12C2×C31×#120—21no—
13C2×C31×#120—21no—
14C2×C31×#120C2211yescharacteristic
15C31×B(4,𝔽2)—22no—
16C31×B(4,𝔽2)—22no—
17C31×#453—22no—
18C31×#453—22no—
19C2×C31×#104—21no—
20C2×C31×#100C2211yescharacteristic
21C2×C31×#99—21no—
22C2×C31×#99—21no—
23C2×C31×#99C2211yescharacteristic
24C2×C31×#99C2211yescharacteristic
25C31×#394—21no—
26C31×#392—21no—
27C31×#392—21no—
28C31×#388—21no—
29C31×#386—21no—
30C31×#386C2211yescharacteristic
31C31×#353—22no—
32C31×AΣL(1,𝔽16)—22no—
33C25×C31D411yescharacteristic
34C31×H(5,𝔽2)—21no—
35C31×H(5,𝔽2)—21no—
36C31×H(5,𝔽2)—21no—
37C31×H(5,𝔽2)—42no—
38C31×H(5,𝔽2)D412yescomplemented
39C2×#41×C31—21no—
40C2×#41×C31—41no—
41C22×D4×C31—21no—
42C22×D4×C31—21no—
43C22×D4×C31—21no—
44C22×D4×C31—21no—
45C22×D4×C31—21no—
46C22×D4×C31—21no—
47C22×D4×C31—21no—
48C22×D4×C31—41no—
49C22×D4×C31—41no—
50C22×D4×C31D411yescharacteristic, complemented
51C22×D4×C31C2311yescharacteristic
52C23×C4×C31D411yescharacteristic, complemented
53C31×AGL(1,ℤ/8)—24no—
54C31×AGL(1,ℤ/8)—42no—
55C2×SD16×C31—41no—
56C2×D8×C31—41no—
57C2×M16×C31—21no—
58C31×#127—21no—
59C31×#127—21no—
60C31×#127—21no—
61C31×#127—21no—
62C31×#121—44no—
63C31×#120—24no—
64C31×#120—21no—
65C31×#120—21no—
66C31×#120—21no—
67C31×#120—21no—
68C31×#120—44no—
69C31×#120—42no—
70C2×C4⋊C4×C31—21no—
71C2×C22⋊C4×C31—21no—
72C2×C22⋊C4×C31—21no—
73C2×C22⋊C4×C31—21no—
74C2×C22⋊C4×C31—21no—
75C2×C22⋊C4×C31—21no—
76C2×C22⋊C4×C31—21no—
77C2×C22⋊C4×C31—21no—
78C2×C22⋊C4×C31—21no—
79C2×C22⋊C4×C31—41no—
80C2×C22⋊C4×C31—41no—
81C2×C22⋊C4×C31D411yescharacteristic
82C2×C22⋊C4×C31D411yescharacteristic, complemented
83C2×C42×C31D411yescharacteristic, complemented
84C31×#104—24no—
85C31×#100—21no—
86C31×#100D412yescomplemented
87C31×#99—24no—
88C31×#99—21no—
89C31×#99—21no—
90C31×#99—21no—
91C31×#99—42no—
92C31×#99D412yescomplemented
93C31×#95—21no—
94C31×#95—21no—
95C31×#95—41no—
96C24×C31—21no—
97C24×C31—21no—
98C24×C31—21no—
99C24×C31—21no—
100C24×C31—21no—
101C24×C31—21no—
102C24×C31—41no—
103C24×C31—41no—
104C24×C31—42no—
105C24×C31—81no—
106C24×C31C2×D411yescharacteristic
107C24×C31C2×D411yescharacteristic
108#41×C31—22no—
109#41×C31—22no—
110#41×C31—42no—
111#41×C31—41no—
112#41×C31—42no—
113#41×C31—42no—
114#41×C31—42no—
115#41×C31—41no—
116C2×Q8×C31—21no—
117C2×D4×C31—21no—
118C2×D4×C31—22no—
119C2×D4×C31—22no—
120C2×D4×C31—22no—
121C2×D4×C31—22no—
122C2×D4×C31—21no—
123C2×D4×C31—21no—
124C2×D4×C31—41no—
125C2×D4×C31—41no—
126C2×D4×C31—41no—
127C2×D4×C31—41no—
128C2×D4×C31—42no—
129C2×D4×C31—42no—
130C2×D4×C31—42no—
131C2×D4×C31—42no—
132C2×D4×C31—42no—
133C2×D4×C31—41no—
134C2×D4×C31—41no—
135C2×D4×C31—41no—
136C2×D4×C31—41no—
137C2×D4×C31—42no—
138C2×D4×C31—42no—
139C2×D4×C31—41no—
140C2×D4×C31—41no—
141C2×D4×C31—41no—
142C2×D4×C31—44no—
143C2×D4×C31—42no—
144C2×D4×C31—42no—
145C2×D4×C31—42no—
146C2×D4×C31—41no—
147C2×D4×C31—41no—
148C2×D4×C31—41no—
149C2×D4×C31—41no—
150C2×D4×C31—41no—
151C2×D4×C31—41no—
152C2×D4×C31—81no—
153C2×D4×C31—81no—
154C2×D4×C31—81no—
155C2×D4×C31—81no—
156C2×D4×C31—81no—
157C2×D4×C31—81no—
158C2×D4×C31—82no—
159C2×D4×C31—82no—
160C2×D4×C31C2×D411yescharacteristic
161C2×D4×C31C2×D411yescharacteristic
162C2×D4×C31C2×D411yescharacteristic
163C2×D4×C31#4111yescharacteristic
164C22×C4×C31—21no—
165C22×C4×C31—21no—
166C22×C4×C31—21no—
167C22×C4×C31—21no—
168C22×C4×C31—21no—
169C22×C4×C31—21no—
170C22×C4×C31—41no—
171C22×C4×C31—42no—
172C22×C4×C31—41no—
173C22×C4×C31—41no—
174C22×C4×C31—41no—
175C22×C4×C31C2×D411yescharacteristic
176SD16×C31—44no—
177D8×C31—44no—
178M16×C31—22no—
179M16×C31—41no—
180C2×C8×C31—41no—
181C4⋊C4×C31—42no—
182C22⋊C4×C31—24no—
183C22⋊C4×C31—21no—
184C22⋊C4×C31—22no—
185C22⋊C4×C31—21no—
186C22⋊C4×C31—42no—
187C22⋊C4×C31—42no—
188C22⋊C4×C31—42no—
189C22⋊C4×C31—44no—
190C22⋊C4×C31—41no—
191C22⋊C4×C31—41no—
192C22⋊C4×C31—41no—
193C22⋊C4×C31—41no—
194C22⋊C4×C31—41no—
195C22⋊C4×C31—41no—
196C22⋊C4×C31—81no—
197C22⋊C4×C31—82no—
198C42×C31—21no—
199C42×C31—21no—
200#13346C3111yesmaximal, characteristic, direct product factor, Sylow
201C23×C31—21no—
202C23×C31—21no—
203C23×C31—21no—
204C23×C31—21no—
205C23×C31—22no—
206C23×C31—22no—
207C23×C31—22no—
208C23×C31—41no—
209C23×C31—41no—
210C23×C31—41no—
211C23×C31—41no—
212C23×C31—41no—
213C23×C31—42no—
214C23×C31—41no—
215C23×C31—41no—
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—41no—
225C23×C31—41no—
226C23×C31—41no—
227C23×C31—41no—
228C23×C31—41no—
229C23×C31—41no—
230C23×C31—41no—
231C23×C31—81no—
232C23×C31—82no—
233C23×C31—81no—
234C23×C31—82no—
235C23×C31—84no—
236C23×C31—81no—
237C23×C31—81no—
238C23×C31—81no—
239C23×C31—81no—
240C23×C31—81no—
241C23×C31#12011yescharacteristic
242C23×C31#12011yescharacteristic
243C23×C31#12111yescharacteristic
244C23×C31#12111yescharacteristic
245C23×C31#12711yescharacteristic
246Q8×C31—22no—
247Q8×C31—41no—
248D4×C31—22no—
249D4×C31—41no—
250D4×C31—41no—
251D4×C31—41no—
252D4×C31—41no—
253D4×C31—41no—
254D4×C31—42no—
255D4×C31—42no—
256D4×C31—42no—
257D4×C31—42no—
258D4×C31—42no—
259D4×C31—42no—
260D4×C31—42no—
261D4×C31—81no—
262D4×C31—82no—
263D4×C31—82no—
264D4×C31—82no—
265D4×C31—82no—
266D4×C31—84no—
267D4×C31—82no—
268D4×C31—82no—
269D4×C31—84no—
270D4×C31—88no—
271C2×C4×C31—21no—
272C2×C4×C31—21no—
273C2×C4×C31—22no—
274C2×C4×C31—22no—
275C2×C4×C31—22no—
276C2×C4×C31—22no—
277C2×C4×C31—42no—
278C2×C4×C31—42no—
279C2×C4×C31—41no—
280C2×C4×C31—41no—
281C2×C4×C31—41no—
282C2×C4×C31—41no—
283C2×C4×C31—41no—
284C2×C4×C31—41no—
285C2×C4×C31—41no—
286C2×C4×C31—42no—
287C2×C4×C31—42no—
288C2×C4×C31—41no—
289C2×C4×C31—41no—
290C2×C4×C31—41no—
291C2×C4×C31—41no—
292C2×C4×C31—41no—
293C2×C4×C31—41no—
294C2×C4×C31—81no—
295C2×C4×C31—81no—
296C2×C4×C31—81no—
297C2×C4×C31—81no—
298C2×C4×C31—81no—
299C2×C4×C31—81no—
300C2×C4×C31#12011yescharacteristic
301C2×C4×C31#12111yescharacteristic
302C8×C31—42no—
303C2×B(4,𝔽2)C2×C3111yescharacteristic, complemented
304C2×#453C2×C3111yescharacteristic, complemented
305#2669C2×C3111yescharacteristic, complemented
306C2×#353C2×C3111yescharacteristic, complemented
307C2×AΣL(1,𝔽16)C2×C3111yescharacteristic, complemented
308#1790C2×C3111yescharacteristic, complemented
309#1390C2×C3111yescharacteristic, complemented
310C22×C31—21no—
311C22×C31—21no—
312C22×C31—21no—
313C22×C31—21no—
314C22×C31—21no—
315C22×C31—21no—
316C22×C31—41no—
317C22×C31—41no—
318C22×C31—41no—
319C22×C31—41no—
320C22×C31—42no—
321C22×C31—42no—
322C22×C31—41no—
323C22×C31—41no—
324C22×C31—41no—
325C22×C31—41no—
326C22×C31—44no—
327C22×C31—42no—
328C22×C31—42no—
329C22×C31—81no—
330C22×C31—81no—
331C22×C31—81no—
332C22×C31—81no—
333C22×C31—81no—
334C22×C31—81no—
335C22×C31—81no—
336C22×C31—81no—
337C22×C31—82no—
338C22×C31—82no—
339C22×C31—82no—
340C22×C31—82no—
341C22×C31—82no—
342C22×C31—81no—
343C22×C31—81no—
344C22×C31—81no—
345C22×C31—81no—
346C22×C31—81no—
347C22×C31—81no—
348C22×C31—81no—
349C22×C31—161no—
350C22×C31—161no—
351C22×C31#39211yescharacteristic
352C22×C31B(4,𝔽2)11yescharacteristic
353C22×C31B(4,𝔽2)11yescharacteristic
354C4×C31—21no—
355C4×C31—21no—
356C4×C31—42no—
357C4×C31—42no—
358C4×C31—42no—
359C4×C31—81no—
360C4×C31—81no—
361C4×C31—82no—
362C4×C31—161no—
363C2×H(5,𝔽2)C22×C3111yescharacteristic
364C2×AGL(1,ℤ/8)—21no—
365C2×#127C22×C3111yescharacteristic
366C2×#121—21no—
367C2×#120—21no—
368C2×#120—21no—
369C2×#120C22×C3111yescharacteristic
370B(4,𝔽2)—22no—
371B(4,𝔽2)—22no—
372#453—22no—
373#453—22no—
374C2×#104—21no—
375C2×#100C22×C3111yescharacteristic
376C2×#99—21no—
377C2×#99—21no—
378C2×#99C22×C3111yescharacteristic
379C2×#99C22×C3111yescharacteristic
380#394—21no—
381#392—21no—
382#392—21no—
383#388—21no—
384#386—21no—
385#386C22×C3111yescharacteristic
386#353—22no—
387AΣL(1,𝔽16)—22no—
388C2×C31—21no—
389C2×C31—21no—
390C2×C31—41no—
391C2×C31—41no—
392C2×C31—41no—
393C2×C31—41no—
394C2×C31—82no—
395C2×C31—82no—
396C2×C31—161no—
397C2×C31#202111yescharacteristic
398C2×C31#219611yescharacteristic
399C2×C31#220011yescharacteristic
400C25D4×C3111yescharacteristic
401H(5,𝔽2)—21no—
402H(5,𝔽2)—21no—
403H(5,𝔽2)—21no—
404H(5,𝔽2)—42no—
405H(5,𝔽2)D4×C3112yescomplemented
406C2×#41—21no—
407C2×#41—41no—
408C22×D4—21no—
409C22×D4—21no—
410C22×D4—21no—
411C22×D4—21no—
412C22×D4—21no—
413C22×D4—21no—
414C22×D4—21no—
415C22×D4—41no—
416C22×D4—41no—
417C22×D4D4×C3111yescharacteristic, complemented
418C22×D4C23×C3111yescharacteristic
419C23×C4D4×C3111yescharacteristic, complemented
420AGL(1,ℤ/8)—24no—
421AGL(1,ℤ/8)—42no—
422C2×SD16—41no—
423C2×D8—41no—
424C2×M16—21no—
425#127—21no—
426#127—21no—
427#127—21no—
428#127—21no—
429#121—44no—
430#120—24no—
431#120—21no—
432#120—21no—
433#120—21no—
434#120—21no—
435#120—44no—
436#120—42no—
437C2×C4⋊C4—21no—
438C2×C22⋊C4—21no—
439C2×C22⋊C4—21no—
440C2×C22⋊C4—21no—
441C2×C22⋊C4—21no—
442C2×C22⋊C4—21no—
443C2×C22⋊C4—21no—
444C2×C22⋊C4—21no—
445C2×C22⋊C4—21no—
446C2×C22⋊C4—41no—
447C2×C22⋊C4—41no—
448C2×C22⋊C4D4×C3111yescharacteristic
449C2×C22⋊C4D4×C3111yescharacteristic, complemented
450C2×C42D4×C3111yescharacteristic, complemented
451#104—24no—
452#100—21no—
453#100D4×C3112yescomplemented
454#99—24no—
455#99—21no—
456#99—21no—
457#99—21no—
458#99—42no—
459#99D4×C3112yescomplemented
460#95—21no—
461#95—21no—
462#95—41no—
463C31#1334611yescharacteristic, direct product factor, Sylow
464C24—21no—
465C24—21no—
466C24—21no—
467C24—21no—
468C24—21no—
469C24—21no—
470C24—41no—
471C24—41no—
472C24—42no—
473C24—81no—
474C24C2×D4×C3111yescharacteristic
475C24C2×D4×C3111yescharacteristic
476#41—22no—
477#41—22no—
478#41—42no—
479#41—41no—
480#41—42no—
481#41—42no—
482#41—42no—
483#41—41no—
484C2×Q8—21no—
485C2×D4—21no—
486C2×D4—22no—
487C2×D4—22no—
488C2×D4—22no—
489C2×D4—22no—
490C2×D4—21no—
491C2×D4—21no—
492C2×D4—41no—
493C2×D4—41no—
494C2×D4—41no—
495C2×D4—41no—
496C2×D4—42no—
497C2×D4—42no—
498C2×D4—42no—
499C2×D4—42no—
500C2×D4—42no—
501C2×D4—41no—
502C2×D4—41no—
503C2×D4—41no—
504C2×D4—41no—
505C2×D4—42no—
506C2×D4—42no—
507C2×D4—41no—
508C2×D4—41no—
509C2×D4—41no—
510C2×D4—44no—
511C2×D4—42no—
512C2×D4—42no—
513C2×D4—42no—
514C2×D4—41no—
515C2×D4—41no—
516C2×D4—41no—
517C2×D4—41no—
518C2×D4—41no—
519C2×D4—41no—
520C2×D4—81no—
521C2×D4—81no—
522C2×D4—81no—
523C2×D4—81no—
524C2×D4—81no—
525C2×D4—81no—
526C2×D4—82no—
527C2×D4—82no—
528C2×D4C2×D4×C3111yescharacteristic
529C2×D4C2×D4×C3111yescharacteristic
530C2×D4C2×D4×C3111yescharacteristic
531C2×D4#41×C3111yescharacteristic
532C22×C4—21no—
533C22×C4—21no—
534C22×C4—21no—
535C22×C4—21no—
536C22×C4—21no—
537C22×C4—21no—
538C22×C4—41no—
539C22×C4—42no—
540C22×C4—41no—
541C22×C4—41no—
542C22×C4—41no—
543C22×C4C2×D4×C3111yescharacteristic
544SD16—44no—
545D8—44no—
546M16—22no—
547M16—41no—
548C2×C8—41no—
549C4⋊C4—42no—
550C22⋊C4—24no—
551C22⋊C4—21no—
552C22⋊C4—22no—
553C22⋊C4—21no—
554C22⋊C4—42no—
555C22⋊C4—42no—
556C22⋊C4—42no—
557C22⋊C4—44no—
558C22⋊C4—41no—
559C22⋊C4—41no—
560C22⋊C4—41no—
561C22⋊C4—41no—
562C22⋊C4—41no—
563C22⋊C4—41no—
564C22⋊C4—81no—
565C22⋊C4—82no—
566C42—21no—
567C42—21no—
568C23—21no—
569C23—21no—
570C23—21no—
571C23—21no—
572C23—22no—
573C23—22no—
574C23—22no—
575C23—41no—
576C23—41no—
577C23—41no—
578C23—41no—
579C23—41no—
580C23—42no—
581C23—41no—
582C23—41no—
583C23—41no—
584C23—41no—
585C23—41no—
586C23—41no—
587C23—41no—
588C23—41no—
589C23—42no—
590C23—42no—
591C23—41no—
592C23—41no—
593C23—41no—
594C23—41no—
595C23—41no—
596C23—41no—
597C23—41no—
598C23—81no—
599C23—82no—
600C23—81no—
601C23—82no—
602C23—84no—
603C23—81no—
604C23—81no—
605C23—81no—
606C23—81no—
607C23—81no—
608C23C31×#12011yescharacteristic
609C23C31×#12011yescharacteristic
610C23C31×#12111yescharacteristic
611C23C31×#12111yescharacteristic
612C23C31×#12711yescharacteristic
613Q8—22no—
614Q8—41no—
615D4—22no—
616D4—41no—
617D4—41no—
618D4—41no—
619D4—41no—
620D4—41no—
621D4—42no—
622D4—42no—
623D4—42no—
624D4—42no—
625D4—42no—
626D4—42no—
627D4—42no—
628D4—81no—
629D4—82no—
630D4—82no—
631D4—82no—
632D4—82no—
633D4—84no—
634D4—82no—
635D4—82no—
636D4—84no—
637D4—88no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—42no—
645C2×C4—42no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—41no—
652C2×C4—41no—
653C2×C4—42no—
654C2×C4—42no—
655C2×C4—41no—
656C2×C4—41no—
657C2×C4—41no—
658C2×C4—41no—
659C2×C4—41no—
660C2×C4—41no—
661C2×C4—81no—
662C2×C4—81no—
663C2×C4—81no—
664C2×C4—81no—
665C2×C4—81no—
666C2×C4—81no—
667C2×C4C31×#12011yescharacteristic
668C2×C4C31×#12111yescharacteristic
669C8—42no—
670C22—21no—
671C22—21no—
672C22—21no—
673C22—21no—
674C22—21no—
675C22—21no—
676C22—41no—
677C22—41no—
678C22—41no—
679C22—41no—
680C22—42no—
681C22—42no—
682C22—41no—
683C22—41no—
684C22—41no—
685C22—41no—
686C22—44no—
687C22—42no—
688C22—42no—
689C22—81no—
690C22—81no—
691C22—81no—
692C22—81no—
693C22—81no—
694C22—81no—
695C22—81no—
696C22—81no—
697C22—82no—
698C22—82no—
699C22—82no—
700C22—82no—
701C22—82no—
702C22—81no—
703C22—81no—
704C22—81no—
705C22—81no—
706C22—81no—
707C22—81no—
708C22—81no—
709C22—161no—
710C22—161no—
711C22C31×#39211yescharacteristic
712C22C31×B(4,𝔽2)11yescharacteristic
713C22C31×B(4,𝔽2)11yescharacteristic
714C4—21no—
715C4—21no—
716C4—42no—
717C4—42no—
718C4—42no—
719C4—81no—
720C4—81no—
721C4—82no—
722C4—161no—
723C2—21no—
724C2—21no—
725C2—41no—
726C2—41no—
727C2—41no—
728C2—41no—
729C2—82no—
730C2—82no—
731C2—161no—
732C2C31×#202111yescharacteristic
733C2C31×#219611yescharacteristic
734C2C31×#220011yescharacteristic
subgroupG/H
center, socleC22×C31B(4,𝔽2)
commutator, Frattini, cosocleC22×D4C23×C31
LCSG ▷ C22×D4 ▷ C22 ▷ C2 ▷ C1
UCSC1 ◁ C22×C31 ◁ C23×C31 ◁ C22×D4×C31 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×C31×B(4,𝔽2)C2semidirect
2. C2×C31×#453C2semidirect
3. C31×#2669C2semidirect
4. C2×C31×#353C2semidirect
5. C2×C31×AΣL(1,𝔽16)C2semidirect
6. C31×#1790C2semidirect
7. C31×#1390C2semidirect
38. C31×H(5,𝔽2)D4semidirect
50. C22×D4×C31D4semidirect
52. C23×C4×C31D4semidirect
82. C2×C22⋊C4×C31D4semidirect
83. C2×C42×C31D4semidirect
86. C31×#100D4semidirect
92. C31×#99D4semidirect
200. #13346C31direct (N × H)
303. C2×B(4,𝔽2)C2×C31semidirect
304. C2×#453C2×C31semidirect
305. #2669C2×C31semidirect
306. C2×#353C2×C31semidirect
307. C2×AΣL(1,𝔽16)C2×C31semidirect
308. #1790C2×C31semidirect
309. #1390C2×C31semidirect
405. H(5,𝔽2)D4×C31semidirect
417. C22×D4D4×C31semidirect
419. C23×C4D4×C31semidirect
449. C2×C22⋊C4D4×C31semidirect
450. C2×C42D4×C31semidirect
453. #100D4×C31semidirect
459. #99D4×C31semidirect
463. C31#13346direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C31×B(4,𝔽2)2
C2×C31×#4532
C31×#26692
C2×C31×#3532
C2×C31×AΣL(1,𝔽16)2
C31×#17902
C31×#13902
#1334631