Finite Group Databasebeta

← C131×#33572 #45719456

Subgroups — C131×#33572 #45719456

Order 33536.

1108 conjugacy classes of subgroups.

The subgroup lattice has 742 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#3551×C131C211yesmaximal, characteristic, complemented
2#3022×C131C211yesmaximal, characteristic, complemented
3#3021×C131C211yesmaximal, characteristic, complemented
4#3018×C131C211yesmaximal, characteristic, complemented
5#2204×C131C214yesmaximal, complemented
6#2203×C131C214yesmaximal, complemented
7#2135×C131C211yesmaximal, characteristic, complemented
8#2134×C131C211yesmaximal, characteristic, complemented
9#2132×C131C211yesmaximal, characteristic, complemented
10#585×C131C2211yescharacteristic
11#575×C131—21no—
12C2×#137×C131—21no—
13C2×AGL(1,ℤ/8)×C131—21no—
14#563×C131C2212yescomplemented
15#560×C131—21no—
16#555×C131C2212yescomplemented
17#553×C131—21no—
18#552×C131—21no—
19#551×C131—21no—
20#548×C131—21no—
21#546×C131—21no—
22#540×C131—22no—
23#538×C131—22no—
24#537×C131—21no—
25#536×C131C2211yescharacteristic
26#535×C131C2211yescharacteristic
27#532×C131C2211yescharacteristic
28#529×C131—21no—
29#456×C131C2212yescomplemented
30#456×C131C2214yescomplemented
31#455×C131—21no—
32#455×C131—22no—
33#454×C131C2214yes—
34#454×C131C2212yescomplemented
35#453×C131—21no—
36#453×C131—22no—
37#421×C131—21no—
38#421×C131—21no—
39C2×#104×C131—21no—
40#413×C131C2211yescharacteristic
41#413×C131C2211yescharacteristic
42#413×C131C2211yescharacteristic
43#356×C131C2212yescomplemented
44#356×C131C2214yescomplemented
45#355×C131C2212yescomplemented
46#355×C131C2214yescomplemented
472−1+4×C131—41no—
482−1+4×C131C2312yes—
49H(5,𝔽2)×C131—21no—
50H(5,𝔽2)×C131—21no—
51H(5,𝔽2)×C131—21no—
52H(5,𝔽2)×C131—41no—
53C2×#41×C131—21no—
54C2×#41×C131—21no—
55C2×#41×C131—21no—
56C2×#41×C131—21no—
57C2×#41×C131—42no—
58C2×#41×C131D411yescharacteristic
59C2×#41×C131C2311yescharacteristic
60C22×Q8×C131D411yescharacteristic
61C22×D4×C131D411yescharacteristic
62#137×C131—24no—
63#137×C131—22no—
64#137×C131—41no—
65#137×C131—42no—
66AGL(1,ℤ/8)×C131—24no—
67AGL(1,ℤ/8)×C131—22no—
68AGL(1,ℤ/8)×C131—41no—
69AGL(1,ℤ/8)×C131—42no—
70#135×C131—42no—
71C2×Q16×C131—41no—
72C2×SD16×C131—41no—
73C2×SD16×C131—41no—
74C2×D8×C131—41no—
75C2×M16×C131—21no—
76C2×M16×C131—21no—
77C2×M16×C131—21no—
78C4⋊Q8×C131C2311yescharacteristic
79C4⋊Q8×C131C2312yes—
80#127×C131D411yescharacteristic
81#127×C131D412yes—
82#126×C131—22no—
83#126×C131—22no—
84#126×C131—22no—
85#125×C131—21no—
86#125×C131—22no—
87#124×C131—21no—
88#124×C131—22no—
89#124×C131D411yescharacteristic
90#124×C131D412yes—
91#124×C131C2312yes—
92#124×C131C2311yescharacteristic
93#123×C131—22no—
94#123×C131—22no—
95#123×C131—22no—
96#123×C131—21no—
97#123×C131—21no—
98#123×C131—22no—
99C22⋊Q8×C131—21no—
100C22⋊Q8×C131—22no—
101C22⋊Q8×C131—22no—
102C22⋊Q8×C131—21no—
103C22⋊Q8×C131—21no—
104#121×C131—22no—
105#121×C131—22no—
106#121×C131—21no—
107#121×C131—22no—
108#121×C131—22no—
109#121×C131—21no—
110#121×C131—21no—
111#121×C131—22no—
112#121×C131—22no—
113#121×C131—21no—
114#121×C131—21no—
115#120×C131—22no—
116#120×C131—21no—
117#120×C131—21no—
118C4×Q8×C131—21no—
119C4×D4×C131—22no—
120C4×D4×C131—21no—
121C4×D4×C131—22no—
122C4×D4×C131—21no—
123C4×D4×C131—21no—
124C4×D4×C131—22no—
125#117×C131—22no—
126#117×C131—22no—
127#117×C131D411yescharacteristic
128#117×C131D411yescharacteristic
129C2×C4⋊C4×C131—21no—
130C2×C22⋊C4×C131—22no—
131C2×C42×C131D411yescharacteristic
132#104×C131—22no—
133#104×C131—22no—
134#104×C131—24no—
135#104×C131—24no—
136#101×C131C2312yes—
137#101×C131C2312yes—
138#101×C131C2312yes—
139#100×C131—21no—
140#100×C131—21no—
141#100×C131—21no—
142C24×C131—21no—
143#41×C131—22no—
144#41×C131—22no—
145#41×C131—22no—
146#41×C131—22no—
147#41×C131—22no—
148#41×C131—22no—
149#41×C131—41no—
150#41×C131—41no—
151#41×C131—41no—
152#41×C131—41no—
153#41×C131—41no—
154#41×C131—41no—
155#41×C131—41no—
156#41×C131—42no—
157#41×C131—42no—
158#41×C131—42no—
159#41×C131—42no—
160#41×C131—41no—
161#41×C131—81no—
162#41×C131—81no—
163C2×Q8×C131—21no—
164C2×Q8×C131—21no—
165C2×Q8×C131—21no—
166C2×Q8×C131—21no—
167C2×Q8×C131—41no—
168C2×Q8×C131—41no—
169C2×Q8×C131—42no—
170C2×Q8×C131C2×D411yescharacteristic
171C2×Q8×C131C2×D412yes—
172C2×Q8×C131C2411yescharacteristic
173C2×D4×C131—21no—
174C2×D4×C131—21no—
175C2×D4×C131—21no—
176C2×D4×C131—22no—
177C2×D4×C131—22no—
178C2×D4×C131—21no—
179C2×D4×C131—22no—
180C2×D4×C131—22no—
181C2×D4×C131—21no—
182C2×D4×C131—21no—
183C2×D4×C131—21no—
184C2×D4×C131—41no—
185C2×D4×C131—41no—
186C2×D4×C131—42no—
187C2×D4×C131—42no—
188C2×D4×C131—42no—
189C2×D4×C131—41no—
190C2×D4×C131—41no—
191C2×D4×C131—41no—
192C2×D4×C131C2×D411yescharacteristic
193C2×D4×C131C2×D412yes—
194C2×D4×C131C2×D411yescharacteristic
195C2×D4×C131C2×D411yescharacteristic
196C2×D4×C131C2×D411yescharacteristic
197C22×C4×C131—22no—
198C22×C4×C131—22no—
199C22×C4×C131—22no—
200C22×C4×C131—21no—
201C22×C4×C131—21no—
202C22×C4×C131—21no—
203C22×C4×C131—41no—
204C22×C4×C131—41no—
205C22×C4×C131—41no—
206C22×C4×C131C2×D411yescharacteristic
207C22×C4×C131C2×D411yescharacteristic
208C22×C4×C131C2×D411yescharacteristic
209Q16×C131—44no—
210Q16×C131—42no—
211SD16×C131—44no—
212SD16×C131—42no—
213SD16×C131—44no—
214SD16×C131—42no—
215D8×C131—44no—
216D8×C131—42no—
217M16×C131—22no—
218M16×C131—22no—
219M16×C131—22no—
220M16×C131—41no—
221M16×C131—41no—
222M16×C131—41no—
223C2×C8×C131—41no—
224C2×C8×C131—41no—
225C2×C8×C131—41no—
226C4⋊C4×C131—22no—
227C4⋊C4×C131—22no—
228C4⋊C4×C131—22no—
229C4⋊C4×C131—22no—
230C4⋊C4×C131—22no—
231C4⋊C4×C131—21no—
232C4⋊C4×C131—21no—
233C4⋊C4×C131—22no—
234C4⋊C4×C131—22no—
235C4⋊C4×C131—21no—
236C4⋊C4×C131—21no—
237C22⋊C4×C131—22no—
238C22⋊C4×C131—22no—
239C22⋊C4×C131—22no—
240C22⋊C4×C131—22no—
241C22⋊C4×C131—22no—
242C22⋊C4×C131—21no—
243C22⋊C4×C131—22no—
244C22⋊C4×C131—21no—
245C22⋊C4×C131—21no—
246C22⋊C4×C131—21no—
247C22⋊C4×C131—22no—
248C22⋊C4×C131—21no—
249C22⋊C4×C131—22no—
250C22⋊C4×C131—21no—
251C22⋊C4×C131—22no—
252C42×C131—22no—
253C42×C131—21no—
254C42×C131C2×D411yescharacteristic
255C42×C131C2×D411yescharacteristic
256C42×C131C2×D412yes—
257C42×C131C2×D412yes—
258C23×C131—22no—
259C23×C131—21no—
260C23×C131—41no—
261C23×C131—41no—
262C23×C131—41no—
263C23×C131—81no—
264C23×C131—82no—
265C23×C131#12011yescharacteristic
266C23×C131#12011yescharacteristic
267C23×C131#12011yescharacteristic
268Q8×C131—22no—
269Q8×C131—22no—
270Q8×C131—22no—
271Q8×C131—41no—
272Q8×C131—42no—
273Q8×C131—41no—
274Q8×C131—41no—
275Q8×C131—41no—
276Q8×C131—41no—
277D4×C131—22no—
278D4×C131—22no—
279D4×C131—22no—
280D4×C131—41no—
281D4×C131—41no—
282D4×C131—41no—
283D4×C131—42no—
284D4×C131—41no—
285D4×C131—42no—
286D4×C131—42no—
287D4×C131—42no—
288D4×C131—42no—
289D4×C131—41no—
290D4×C131—41no—
291D4×C131—41no—
292D4×C131—81no—
293D4×C131—82no—
294D4×C131—82no—
295D4×C131—82no—
296D4×C131—81no—
297D4×C131—81no—
298D4×C131—82no—
299C2×C4×C131—21no—
300C2×C4×C131—21no—
301C2×C4×C131—21no—
302C2×C4×C131—21no—
303C2×C4×C131—21no—
304C2×C4×C131—21no—
305C2×C4×C131—21no—
306C2×C4×C131—22no—
307C2×C4×C131—21no—
308C2×C4×C131—22no—
309C2×C4×C131—22no—
310C2×C4×C131—21no—
311C2×C4×C131—42no—
312C2×C4×C131—42no—
313C2×C4×C131—42no—
314C2×C4×C131—41no—
315C2×C4×C131—41no—
316C2×C4×C131—41no—
317C2×C4×C131—41no—
318C2×C4×C131—41no—
319C2×C4×C131—42no—
320C2×C4×C131—81no—
321C2×C4×C131—82no—
322C2×C4×C131—81no—
323C2×C4×C131—82no—
324C2×C4×C131—82no—
325C2×C4×C131#12011yescharacteristic
326C2×C4×C131C22×D411yescharacteristic
327C2×C4×C131C22×D411yescharacteristic
328C2×C4×C131C22×D411yescharacteristic
329C8×C131—42no—
330C8×C131—42no—
331C8×C131—42no—
332C22×C131—21no—
333C22×C131—21no—
334C22×C131—21no—
335C22×C131—41no—
336C22×C131—41no—
337C22×C131—41no—
338C22×C131—41no—
339C22×C131—42no—
340C22×C131—41no—
341C22×C131—42no—
342C22×C131—42no—
343C22×C131—41no—
344C22×C131—42no—
345C22×C131—161no—
346C22×C131—161no—
347C22×C131—161no—
348C22×C131—162no—
349C22×C131C2×#12011yescharacteristic
350C4×C131—21no—
351C4×C131—21no—
352C4×C131—21no—
353C4×C131—41no—
354C4×C131—42no—
355C4×C131—42no—
356C4×C131—41no—
357C4×C131—41no—
358C4×C131—42no—
359C4×C131—42no—
360C4×C131B(4,𝔽2)11yescharacteristic
361C4×C131B(4,𝔽2)11yescharacteristic
362C2×C131—21no—
363C2×C131—41no—
364C2×C131—41no—
365C2×C131—41no—
366C2×C131—81no—
367C2×C131—82no—
368C2×C131—82no—
369C2×C131C2×B(4,𝔽2)11yescharacteristic
370#33572C13111yesmaximal, characteristic, direct product factor, Sylow
371C131#3357211yescharacteristic, direct product factor, Sylow
372#3551C2×C13111yescharacteristic, complemented
373#3022C2×C13111yescharacteristic, complemented
374#3021C2×C13111yescharacteristic, complemented
375#3018C2×C13111yescharacteristic, complemented
376#2204C2×C13114yescomplemented
377#2203C2×C13114yescomplemented
378#2135C2×C13111yescharacteristic, complemented
379#2134C2×C13111yescharacteristic, complemented
380#2132C2×C13111yescharacteristic, complemented
381#585C22×C13111yescharacteristic
382#575—21no—
383C2×#137—21no—
384C2×AGL(1,ℤ/8)—21no—
385#563C22×C13112yescomplemented
386#560—21no—
387#555C22×C13112yescomplemented
388#553—21no—
389#552—21no—
390#551—21no—
391#548—21no—
392#546—21no—
393#540—22no—
394#538—22no—
395#537—21no—
396#536C22×C13111yescharacteristic
397#535C22×C13111yescharacteristic
398#532C22×C13111yescharacteristic
399#529—21no—
400#456C22×C13112yescomplemented
401#456C22×C13114yescomplemented
402#455—21no—
403#455—22no—
404#454C22×C13114yes—
405#454C22×C13112yescomplemented
406#453—21no—
407#453—22no—
408#421—21no—
409#421—21no—
410C2×#104—21no—
411#413C22×C13111yescharacteristic
412#413C22×C13111yescharacteristic
413#413C22×C13111yescharacteristic
414#356C22×C13112yescomplemented
415#356C22×C13114yescomplemented
416#355C22×C13112yescomplemented
417#355C22×C13114yescomplemented
4182−1+4—41no—
4192−1+4C23×C13112yes—
420H(5,𝔽2)—21no—
421H(5,𝔽2)—21no—
422H(5,𝔽2)—21no—
423H(5,𝔽2)—41no—
424C2×#41—21no—
425C2×#41—21no—
426C2×#41—21no—
427C2×#41—21no—
428C2×#41—42no—
429C2×#41D4×C13111yescharacteristic
430C2×#41C23×C13111yescharacteristic
431C22×Q8D4×C13111yescharacteristic
432C22×D4D4×C13111yescharacteristic
433#137—24no—
434#137—22no—
435#137—41no—
436#137—42no—
437AGL(1,ℤ/8)—24no—
438AGL(1,ℤ/8)—22no—
439AGL(1,ℤ/8)—41no—
440AGL(1,ℤ/8)—42no—
441#135—42no—
442C2×Q16—41no—
443C2×SD16—41no—
444C2×SD16—41no—
445C2×D8—41no—
446C2×M16—21no—
447C2×M16—21no—
448C2×M16—21no—
449C4⋊Q8C23×C13111yescharacteristic
450C4⋊Q8C23×C13112yes—
451#127D4×C13111yescharacteristic
452#127D4×C13112yes—
453#126—22no—
454#126—22no—
455#126—22no—
456#125—21no—
457#125—22no—
458#124—21no—
459#124—22no—
460#124D4×C13111yescharacteristic
461#124D4×C13112yes—
462#124C23×C13111yescharacteristic
463#124C23×C13112yes—
464#123—22no—
465#123—22no—
466#123—22no—
467#123—21no—
468#123—21no—
469#123—22no—
470C22⋊Q8—21no—
471C22⋊Q8—22no—
472C22⋊Q8—22no—
473C22⋊Q8—21no—
474C22⋊Q8—21no—
475#121—22no—
476#121—22no—
477#121—21no—
478#121—22no—
479#121—22no—
480#121—21no—
481#121—21no—
482#121—22no—
483#121—22no—
484#121—21no—
485#121—21no—
486#120—22no—
487#120—21no—
488#120—21no—
489C4×Q8—21no—
490C4×D4—22no—
491C4×D4—21no—
492C4×D4—22no—
493C4×D4—21no—
494C4×D4—21no—
495C4×D4—22no—
496#117—22no—
497#117—22no—
498#117D4×C13111yescharacteristic
499#117D4×C13111yescharacteristic
500C2×C4⋊C4—21no—
501C2×C22⋊C4—22no—
502C2×C42D4×C13111yescharacteristic
503#104—22no—
504#104—22no—
505#104—24no—
506#104—24no—
507#101C23×C13112yes—
508#101C23×C13112yes—
509#101C23×C13112yes—
510#100—21no—
511#100—21no—
512#100—21no—
513C24—21no—
514#41—22no—
515#41—22no—
516#41—22no—
517#41—22no—
518#41—22no—
519#41—22no—
520#41—41no—
521#41—41no—
522#41—41no—
523#41—41no—
524#41—41no—
525#41—41no—
526#41—41no—
527#41—42no—
528#41—42no—
529#41—42no—
530#41—42no—
531#41—41no—
532#41—81no—
533#41—81no—
534C2×Q8—21no—
535C2×Q8—21no—
536C2×Q8—21no—
537C2×Q8—21no—
538C2×Q8—41no—
539C2×Q8—41no—
540C2×Q8—42no—
541C2×Q8C2×D4×C13111yescharacteristic
542C2×Q8C2×D4×C13112yes—
543C2×Q8C24×C13111yescharacteristic
544C2×D4—21no—
545C2×D4—21no—
546C2×D4—21no—
547C2×D4—22no—
548C2×D4—22no—
549C2×D4—21no—
550C2×D4—22no—
551C2×D4—22no—
552C2×D4—21no—
553C2×D4—21no—
554C2×D4—21no—
555C2×D4—41no—
556C2×D4—41no—
557C2×D4—42no—
558C2×D4—42no—
559C2×D4—42no—
560C2×D4—41no—
561C2×D4—41no—
562C2×D4—41no—
563C2×D4C2×D4×C13111yescharacteristic
564C2×D4C2×D4×C13112yes—
565C2×D4C2×D4×C13111yescharacteristic
566C2×D4C2×D4×C13111yescharacteristic
567C2×D4C2×D4×C13111yescharacteristic
568C22×C4—22no—
569C22×C4—22no—
570C22×C4—22no—
571C22×C4—21no—
572C22×C4—21no—
573C22×C4—21no—
574C22×C4—41no—
575C22×C4—41no—
576C22×C4—41no—
577C22×C4C2×D4×C13111yescharacteristic
578C22×C4C2×D4×C13111yescharacteristic
579C22×C4C2×D4×C13111yescharacteristic
580Q16—44no—
581Q16—42no—
582SD16—44no—
583SD16—42no—
584SD16—44no—
585SD16—42no—
586D8—44no—
587D8—42no—
588M16—22no—
589M16—22no—
590M16—22no—
591M16—41no—
592M16—41no—
593M16—41no—
594C2×C8—41no—
595C2×C8—41no—
596C2×C8—41no—
597C4⋊C4—22no—
598C4⋊C4—22no—
599C4⋊C4—22no—
600C4⋊C4—22no—
601C4⋊C4—22no—
602C4⋊C4—21no—
603C4⋊C4—21no—
604C4⋊C4—22no—
605C4⋊C4—22no—
606C4⋊C4—21no—
607C4⋊C4—21no—
608C22⋊C4—22no—
609C22⋊C4—22no—
610C22⋊C4—22no—
611C22⋊C4—22no—
612C22⋊C4—22no—
613C22⋊C4—21no—
614C22⋊C4—22no—
615C22⋊C4—21no—
616C22⋊C4—21no—
617C22⋊C4—21no—
618C22⋊C4—22no—
619C22⋊C4—21no—
620C22⋊C4—22no—
621C22⋊C4—21no—
622C22⋊C4—22no—
623C42—22no—
624C42—21no—
625C42C2×D4×C13111yescharacteristic
626C42C2×D4×C13111yescharacteristic
627C42C2×D4×C13112yes—
628C42C2×D4×C13112yes—
629C23—22no—
630C23—21no—
631C23—41no—
632C23—41no—
633C23—41no—
634C23—81no—
635C23—82no—
636C23#120×C13111yescharacteristic
637C23#120×C13111yescharacteristic
638C23#120×C13111yescharacteristic
639Q8—22no—
640Q8—22no—
641Q8—22no—
642Q8—41no—
643Q8—42no—
644Q8—41no—
645Q8—41no—
646Q8—41no—
647Q8—41no—
648D4—22no—
649D4—22no—
650D4—22no—
651D4—41no—
652D4—41no—
653D4—41no—
654D4—42no—
655D4—41no—
656D4—42no—
657D4—42no—
658D4—42no—
659D4—42no—
660D4—41no—
661D4—41no—
662D4—41no—
663D4—81no—
664D4—82no—
665D4—82no—
666D4—82no—
667D4—82no—
668D4—81no—
669D4—81no—
670C2×C4—21no—
671C2×C4—21no—
672C2×C4—21no—
673C2×C4—21no—
674C2×C4—21no—
675C2×C4—21no—
676C2×C4—21no—
677C2×C4—22no—
678C2×C4—21no—
679C2×C4—22no—
680C2×C4—22no—
681C2×C4—21no—
682C2×C4—42no—
683C2×C4—42no—
684C2×C4—42no—
685C2×C4—41no—
686C2×C4—41no—
687C2×C4—41no—
688C2×C4—41no—
689C2×C4—41no—
690C2×C4—42no—
691C2×C4—81no—
692C2×C4—82no—
693C2×C4—82no—
694C2×C4—81no—
695C2×C4—82no—
696C2×C4#120×C13111yescharacteristic
697C2×C4C22×D4×C13111yescharacteristic
698C2×C4C22×D4×C13111yescharacteristic
699C2×C4C22×D4×C13111yescharacteristic
700C8—42no—
701C8—42no—
702C8—42no—
703C22—21no—
704C22—21no—
705C22—21no—
706C22—41no—
707C22—41no—
708C22—41no—
709C22—41no—
710C22—42no—
711C22—41no—
712C22—42no—
713C22—42no—
714C22—41no—
715C22—42no—
716C22—161no—
717C22—161no—
718C22—161no—
719C22—162no—
720C22C2×#120×C13111yescharacteristic
721C4—21no—
722C4—21no—
723C4—21no—
724C4—41no—
725C4—42no—
726C4—42no—
727C4—41no—
728C4—41no—
729C4—42no—
730C4—42no—
731C4B(4,𝔽2)×C13111yescharacteristic
732C4B(4,𝔽2)×C13111yescharacteristic
733C2—21no—
734C2—41no—
735C2—41no—
736C2—41no—
737C2—82no—
738C2—81no—
739C2—82no—
740C2C2×B(4,𝔽2)×C13111yescharacteristic
subgroupG/H
center, socleC2×C131C2×B(4,𝔽2)
commutator, Frattini, cosocleC2×Q8C24×C131
LCSG ▷ C2×Q8 ▷ C22 ▷ C2 ▷ C1
UCSC1 ◁ C2×C131 ◁ C2×C4×C131 ◁ C2×#41×C131 ◁ G

Complements

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

NH ≅ G/Ntype
1. #3551×C131C2semidirect
2. #3022×C131C2semidirect
3. #3021×C131C2semidirect
4. #3018×C131C2semidirect
5. #2204×C131C2semidirect
6. #2203×C131C2semidirect
7. #2135×C131C2semidirect
8. #2134×C131C2semidirect
9. #2132×C131C2semidirect
14. #563×C131C22semidirect
16. #555×C131C22semidirect
29. #456×C131C22semidirect
30. #456×C131C22semidirect
34. #454×C131C22semidirect
43. #356×C131C22semidirect
44. #356×C131C22semidirect
45. #355×C131C22semidirect
46. #355×C131C22semidirect
370. #33572C131direct (N × H)
371. C131#33572direct (N × H)
372. #3551C2×C131semidirect
373. #3022C2×C131semidirect
374. #3021C2×C131semidirect
375. #3018C2×C131semidirect
376. #2204C2×C131semidirect
377. #2203C2×C131semidirect
378. #2135C2×C131semidirect
379. #2134C2×C131semidirect
380. #2132C2×C131semidirect
385. #563C22×C131semidirect
387. #555C22×C131semidirect
400. #456C22×C131semidirect
401. #456C22×C131semidirect
405. #454C22×C131semidirect
414. #356C22×C131semidirect
415. #356C22×C131semidirect
416. #355C22×C131semidirect
417. #355C22×C131semidirect

Maximal subgroups

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

subgroupindex
#3551×C1312
#3022×C1312
#3021×C1312
#3018×C1312
#2204×C1312
#2203×C1312
#2135×C1312
#2134×C1312
#2132×C1312
#33572131