Finite Group Databasebeta

← C131×#29373 #45715257

Subgroups — C131×#29373 #45715257

Order 33536.

854 conjugacy classes of subgroups.

The subgroup lattice has 674 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C4×#124×C131C211yesmaximal, characteristic, complemented
2#2293×C131C211yesmaximal, characteristic, complemented
3#2101×C131C211yesmaximal, characteristic, complemented
4#2092×C131C211yesmaximal, characteristic, complemented
5#2042×C131C211yesmaximal, characteristic, complemented
6#2012×C131C211yesmaximal, characteristic
7#1927×C131C211yesmaximal, characteristic, complemented
8#1925×C131C211yesmaximal, characteristic, complemented
9#1880×C131C211yesmaximal, characteristic, complemented
10#1879×C131C211yesmaximal, characteristic
11#1879×C131C211yesmaximal, characteristic
12#1877×C131C211yesmaximal, characteristic, complemented
13#1864×C131C211yesmaximal, characteristic, complemented
14#1863×C131C211yesmaximal, characteristic, complemented
15#1839×C131C211yesmaximal, characteristic, complemented
16C22×SD16×C131C2211yescharacteristic
17C22×D8×C131C2211yescharacteristic
18C2×#124×C131C2211yescharacteristic
19C2×C4×Q8×C131C2211yescharacteristic
20C2×C4×D4×C131C2211yescharacteristic
21C2×C4×D4×C131C2211yescharacteristic
22C2×#117×C131—21no—
23C2×#107×C131C2211yescharacteristic
24C2×#106×C131C2211yescharacteristic
25C2×#103×C131C2211yescharacteristic
26C2×#103×C131C2211yescharacteristic
27C2×#103×C131C2211yescharacteristic
28C2×#102×C131C2211yescharacteristic
29C2×#102×C131C2211yescharacteristic
30C2×#102×C131C2211yescharacteristic
31C2×#102×C131C2211yescharacteristic
32C2×#102×C131C2211yescharacteristic
33#391×C131C2211yescharacteristic
34#390×C131C2211yescharacteristic
35#390×C131C2211yescharacteristic
36#390×C131C2211yescharacteristic
37#389×C131C2211yescharacteristic
38#389×C131C2211yescharacteristic
39#388×C131—21no—
40#388×C131—21no—
41#388×C131—21no—
42#388×C131—21no—
43#382×C131C2211yescharacteristic
44C4×C4⋊C4×C131C2211yescharacteristic
45C4×C22⋊C4×C131—21no—
46C4×C22⋊C4×C131—21no—
47C4×C22⋊C4×C131—21no—
48C43×C131C2211yescharacteristic
49#340×C131C2211yescharacteristic
50#340×C131C2211yescharacteristic
51#340×C131C2211yescharacteristic
52#340×C131C2211yescharacteristic
53#336×C131C2211yescharacteristic
54#336×C131C2211yescharacteristic
55#336×C131C2211yescharacteristic
56#336×C131C2211yescharacteristic
57#336×C131C2211yescharacteristic
58#336×C131C2211yescharacteristic
59C22×Q8×C131C2311yescharacteristic
60C22×D4×C131C2311yescharacteristic
61C22×D4×C131C2311yescharacteristic
62C23×C4×C131—21no—
63C23×C4×C131—21no—
64C2×SD16×C131—22no—
65C2×SD16×C131—22no—
66C2×SD16×C131—41no—
67C2×D8×C131—22no—
68C2×D8×C131—22no—
69C2×D8×C131—41no—
70C22×C8×C131C2311yescharacteristic
71C22×C8×C131C2311yescharacteristic
72C22×C8×C131C2311yescharacteristic
73C22×C8×C131C2311yescharacteristic
74#124×C131—22no—
75#124×C131—22no—
76C4×Q8×C131—41no—
77C4×Q8×C131—41no—
78C4×D4×C131—22no—
79C4×D4×C131—22no—
80C4×D4×C131—41no—
81C4×D4×C131—41no—
82#117×C131—44no—
83C2×C4⋊C4×C131—21no—
84C2×C4⋊C4×C131—21no—
85C2×C4⋊C4×C131—21no—
86C2×C4⋊C4×C131C2311yescharacteristic
87C2×C4⋊C4×C131C2311yescharacteristic
88C2×C4⋊C4×C131C2311yescharacteristic
89C2×C4⋊C4×C131C2311yescharacteristic
90C2×C4⋊C4×C131C2311yescharacteristic
91C2×C22⋊C4×C131—21no—
92C2×C22⋊C4×C131—21no—
93C2×C22⋊C4×C131—21no—
94C2×C22⋊C4×C131—21no—
95C2×C22⋊C4×C131—21no—
96C2×C22⋊C4×C131—21no—
97C2×C22⋊C4×C131—21no—
98C2×C22⋊C4×C131—21no—
99C2×C22⋊C4×C131—21no—
100C2×C22⋊C4×C131—21no—
101C2×C42×C131—21no—
102C2×C42×C131—21no—
103C2×C42×C131D411yescharacteristic
104C2×C42×C131D411yescharacteristic
105C2×C42×C131D411yescharacteristic
106C2×C42×C131D411yescharacteristic
107C2×C42×C131C2311yescharacteristic
108C2×C42×C131C2311yescharacteristic
109C2×C42×C131C2311yescharacteristic
110#107×C131—41no—
111#106×C131—41no—
112#103×C131—22no—
113#103×C131—22no—
114#103×C131—41no—
115#102×C131—22no—
116#102×C131—22no—
117#102×C131—41no—
118#102×C131—41no—
119#102×C131—41no—
120#95×C131—21no—
121#95×C131—21no—
122#95×C131—21no—
123#95×C131—21no—
124#95×C131—21no—
125#95×C131—21no—
126#95×C131—21no—
127C24×C131—21no—
128C24×C131—21no—
129C2×Q8×C131—21no—
130C2×Q8×C131—21no—
131C2×Q8×C131—21no—
132C2×Q8×C131—21no—
133C2×Q8×C131—21no—
134C2×Q8×C131#4112yes—
135C2×D4×C131—21no—
136C2×D4×C131—21no—
137C2×D4×C131—21no—
138C2×D4×C131—21no—
139C2×D4×C131—21no—
140C2×D4×C131—21no—
141C2×D4×C131—21no—
142C2×D4×C131—21no—
143C2×D4×C131—21no—
144C2×D4×C131—21no—
145C2×D4×C131#4112yes—
146C2×D4×C131#4112yes—
147C22×C4×C131—24no—
148C22×C4×C131—21no—
149C22×C4×C131—21no—
150C22×C4×C131—21no—
151C22×C4×C131—21no—
152C22×C4×C131—21no—
153C22×C4×C131—21no—
154C22×C4×C131—42no—
155C22×C4×C131—42no—
156C22×C4×C131—42no—
157C22×C4×C131—42no—
158C22×C4×C131—42no—
159C22×C4×C131C2×D411yescharacteristic
160C22×C4×C131C2×D411yescharacteristic
161C22×C4×C131C2×D411yescharacteristic
162C22×C4×C131C2×D411yescharacteristic
163C22×C4×C131C2×D411yescharacteristic
164C22×C4×C131C2×D411yescharacteristic
165C22×C4×C131C2411yescharacteristic
166SD16×C131—44no—
167D8×C131—44no—
168C2×C8×C131—21no—
169C2×C8×C131—21no—
170C2×C8×C131—21no—
171C2×C8×C131—21no—
172C2×C8×C131—21no—
173C2×C8×C131—21no—
174C2×C8×C131—21no—
175C2×C8×C131—21no—
176C2×C8×C131—21no—
177C2×C8×C131—21no—
178C2×C8×C131—21no—
179C2×C8×C131—21no—
180C4⋊C4×C131—21no—
181C4⋊C4×C131—21no—
182C4⋊C4×C131—21no—
183C4⋊C4×C131—21no—
184C4⋊C4×C131—21no—
185C4⋊C4×C131—21no—
186C4⋊C4×C131—21no—
187C4⋊C4×C131—21no—
188C4⋊C4×C131—21no—
189C4⋊C4×C131—42no—
190C4⋊C4×C131—42no—
191C4⋊C4×C131—42no—
192C4⋊C4×C131#4112yes—
193C22⋊C4×C131—24no—
194C22⋊C4×C131—24no—
195C22⋊C4×C131—24no—
196C22⋊C4×C131—42no—
197C22⋊C4×C131—42no—
198C22⋊C4×C131—42no—
199C22⋊C4×C131—42no—
200C22⋊C4×C131—42no—
201C22⋊C4×C131—42no—
202C22⋊C4×C131—42no—
203C42×C131—22no—
204C42×C131—22no—
205C42×C131—21no—
206C42×C131—21no—
207C42×C131—21no—
208C42×C131—21no—
209C42×C131—21no—
210C42×C131—21no—
211C42×C131—41no—
212C42×C131—41no—
213C42×C131—42no—
214C42×C131—42no—
215C23×C131—22no—
216C23×C131—22no—
217C23×C131—41no—
218C23×C131—41no—
219C23×C131—41no—
220C23×C131—41no—
221C23×C131—41no—
222C23×C131—41no—
223C23×C131—41no—
224C23×C131—41no—
225C23×C131—41no—
226C23×C131—41no—
227C23×C131—41no—
228C23×C131—41no—
229C23×C131C22×D411yescharacteristic
230Q8×C131—22no—
231Q8×C131—22no—
232Q8×C131—41no—
233Q8×C131—41no—
234D4×C131—22no—
235D4×C131—22no—
236D4×C131—22no—
237D4×C131—22no—
238D4×C131—41no—
239D4×C131—41no—
240D4×C131—41no—
241D4×C131—41no—
242C2×C4×C131—21no—
243C2×C4×C131—21no—
244C2×C4×C131—21no—
245C2×C4×C131—21no—
246C2×C4×C131—21no—
247C2×C4×C131—21no—
248C2×C4×C131—21no—
249C2×C4×C131—22no—
250C2×C4×C131—22no—
251C2×C4×C131—21no—
252C2×C4×C131—21no—
253C2×C4×C131—21no—
254C2×C4×C131—21no—
255C2×C4×C131—21no—
256C2×C4×C131—21no—
257C2×C4×C131—21no—
258C2×C4×C131—21no—
259C2×C4×C131—21no—
260C2×C4×C131—48no—
261C2×C4×C131—41no—
262C2×C4×C131—41no—
263C2×C4×C131—41no—
264C2×C4×C131—41no—
265C2×C4×C131—41no—
266C2×C4×C131—41no—
267C2×C4×C131—41no—
268C2×C4×C131—41no—
269C2×C4×C131—41no—
270C2×C4×C131—41no—
271C2×C4×C131—41no—
272C2×C4×C131—41no—
273C2×C4×C131—41no—
274C2×C4×C131—41no—
275C2×C4×C131—41no—
276C2×C4×C131—41no—
277C2×C4×C131—84no—
278C2×C4×C131#13512yes—
279C2×C4×C131AGL(1,ℤ/8)12yes—
280C2×C4×C131C2×#4111yescharacteristic
281C2×C4×C131C2×#4111yescharacteristic
282C2×C4×C131C2×#4111yescharacteristic
283C2×C4×C131C2×#4111yescharacteristic
284C2×C4×C131H(5,𝔽2)11yescharacteristic
285C2×C4×C131H(5,𝔽2)11yescharacteristic
286C8×C131—41no—
287C8×C131—41no—
288C8×C131—41no—
289C8×C131—41no—
290C22×C131—42no—
291C22×C131—42no—
292C22×C131—42no—
293C22×C131—42no—
294C22×C131—42no—
295C22×C131—42no—
296C22×C131—81no—
297C22×C131—81no—
298C22×C131—81no—
299C22×C131—81no—
300C22×C131—81no—
301C22×C131—81no—
302C22×C131—81no—
303C22×C131—81no—
304C22×C131#52511yescharacteristic
305C22×C131#52511yescharacteristic
306C22×C131#53511yescharacteristic
307C22×C131C2×#13511yescharacteristic
308C22×C131C2×AGL(1,ℤ/8)11yescharacteristic
309C22×C131#57511yescharacteristic
310C22×C131#57511yescharacteristic
311C4×C131—22no—
312C4×C131—22no—
313C4×C131—41no—
314C4×C131—41no—
315C4×C131—42no—
316C4×C131—41no—
317C4×C131—42no—
318C4×C131—41no—
319C4×C131—81no—
320C4×C131—81no—
321C4×C131—81no—
322C4×C131—81no—
323C4×C131#55111yescharacteristic
324C4×C131#55111yescharacteristic
325C4×C131#55311yescharacteristic
326C4×C131#55311yescharacteristic
327C2×C131—82no—
328C2×C131—82no—
329C2×C131#259811yescharacteristic
330C2×C131#310211yescharacteristic
331C2×C131#310611yescharacteristic
332C2×C131#311111yescharacteristic
333C2×C131#311411yescharacteristic
334C2×C131#321111yescharacteristic
335C2×C131#321411yescharacteristic
336#29373C13111yesmaximal, characteristic, direct product factor, Sylow
337C131#2937311yescharacteristic, direct product factor, Sylow
338C4×#124C2×C13111yescharacteristic, complemented
339#2293C2×C13111yescharacteristic, complemented
340#2101C2×C13111yescharacteristic, complemented
341#2092C2×C13111yescharacteristic, complemented
342#2042C2×C13111yescharacteristic, complemented
343#2012C2×C13111yescharacteristic
344#1927C2×C13111yescharacteristic, complemented
345#1925C2×C13111yescharacteristic, complemented
346#1880C2×C13111yescharacteristic, complemented
347#1879C2×C13111yescharacteristic
348#1879C2×C13111yescharacteristic
349#1877C2×C13111yescharacteristic, complemented
350#1864C2×C13111yescharacteristic, complemented
351#1863C2×C13111yescharacteristic, complemented
352#1839C2×C13111yescharacteristic, complemented
353C22×SD16C22×C13111yescharacteristic
354C22×D8C22×C13111yescharacteristic
355C2×#124C22×C13111yescharacteristic
356C2×C4×Q8C22×C13111yescharacteristic
357C2×C4×D4C22×C13111yescharacteristic
358C2×C4×D4C22×C13111yescharacteristic
359C2×#117—21no—
360C2×#107C22×C13111yescharacteristic
361C2×#106C22×C13111yescharacteristic
362C2×#103C22×C13111yescharacteristic
363C2×#103C22×C13111yescharacteristic
364C2×#103C22×C13111yescharacteristic
365C2×#102C22×C13111yescharacteristic
366C2×#102C22×C13111yescharacteristic
367C2×#102C22×C13111yescharacteristic
368C2×#102C22×C13111yescharacteristic
369C2×#102C22×C13111yescharacteristic
370#391C22×C13111yescharacteristic
371#390C22×C13111yescharacteristic
372#390C22×C13111yescharacteristic
373#390C22×C13111yescharacteristic
374#389C22×C13111yescharacteristic
375#389C22×C13111yescharacteristic
376#388—21no—
377#388—21no—
378#388—21no—
379#388—21no—
380#382C22×C13111yescharacteristic
381C4×C4⋊C4C22×C13111yescharacteristic
382C4×C22⋊C4—21no—
383C4×C22⋊C4—21no—
384C4×C22⋊C4—21no—
385C43C22×C13111yescharacteristic
386#340C22×C13111yescharacteristic
387#340C22×C13111yescharacteristic
388#340C22×C13111yescharacteristic
389#340C22×C13111yescharacteristic
390#336C22×C13111yescharacteristic
391#336C22×C13111yescharacteristic
392#336C22×C13111yescharacteristic
393#336C22×C13111yescharacteristic
394#336C22×C13111yescharacteristic
395#336C22×C13111yescharacteristic
396C22×Q8C23×C13111yescharacteristic
397C22×D4C23×C13111yescharacteristic
398C22×D4C23×C13111yescharacteristic
399C23×C4—21no—
400C23×C4—21no—
401C2×SD16—22no—
402C2×SD16—22no—
403C2×SD16—41no—
404C2×D8—22no—
405C2×D8—22no—
406C2×D8—41no—
407C22×C8C23×C13111yescharacteristic
408C22×C8C23×C13111yescharacteristic
409C22×C8C23×C13111yescharacteristic
410C22×C8C23×C13111yescharacteristic
411#124—22no—
412#124—22no—
413C4×Q8—41no—
414C4×Q8—41no—
415C4×D4—22no—
416C4×D4—22no—
417C4×D4—41no—
418C4×D4—41no—
419#117—44no—
420C2×C4⋊C4—21no—
421C2×C4⋊C4—21no—
422C2×C4⋊C4—21no—
423C2×C4⋊C4C23×C13111yescharacteristic
424C2×C4⋊C4C23×C13111yescharacteristic
425C2×C4⋊C4C23×C13111yescharacteristic
426C2×C4⋊C4C23×C13111yescharacteristic
427C2×C4⋊C4C23×C13111yescharacteristic
428C2×C22⋊C4—21no—
429C2×C22⋊C4—21no—
430C2×C22⋊C4—21no—
431C2×C22⋊C4—21no—
432C2×C22⋊C4—21no—
433C2×C22⋊C4—21no—
434C2×C22⋊C4—21no—
435C2×C22⋊C4—21no—
436C2×C22⋊C4—21no—
437C2×C22⋊C4—21no—
438C2×C42—21no—
439C2×C42—21no—
440C2×C42D4×C13111yescharacteristic
441C2×C42D4×C13111yescharacteristic
442C2×C42D4×C13111yescharacteristic
443C2×C42D4×C13111yescharacteristic
444C2×C42C23×C13111yescharacteristic
445C2×C42C23×C13111yescharacteristic
446C2×C42C23×C13111yescharacteristic
447#107—41no—
448#106—41no—
449#103—22no—
450#103—22no—
451#103—41no—
452#102—22no—
453#102—22no—
454#102—41no—
455#102—41no—
456#102—41no—
457#95—21no—
458#95—21no—
459#95—21no—
460#95—21no—
461#95—21no—
462#95—21no—
463#95—21no—
464C24—21no—
465C24—21no—
466C2×Q8—21no—
467C2×Q8—21no—
468C2×Q8—21no—
469C2×Q8—21no—
470C2×Q8—21no—
471C2×Q8#41×C13112yes—
472C2×D4—21no—
473C2×D4—21no—
474C2×D4—21no—
475C2×D4—21no—
476C2×D4—21no—
477C2×D4—21no—
478C2×D4—21no—
479C2×D4—21no—
480C2×D4—21no—
481C2×D4—21no—
482C2×D4#41×C13112yes—
483C2×D4#41×C13112yes—
484C22×C4—24no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—42no—
492C22×C4—42no—
493C22×C4—42no—
494C22×C4—42no—
495C22×C4—42no—
496C22×C4C2×D4×C13111yescharacteristic
497C22×C4C2×D4×C13111yescharacteristic
498C22×C4C2×D4×C13111yescharacteristic
499C22×C4C2×D4×C13111yescharacteristic
500C22×C4C2×D4×C13111yescharacteristic
501C22×C4C2×D4×C13111yescharacteristic
502C22×C4C24×C13111yescharacteristic
503SD16—44no—
504D8—44no—
505C2×C8—21no—
506C2×C8—21no—
507C2×C8—21no—
508C2×C8—21no—
509C2×C8—21no—
510C2×C8—21no—
511C2×C8—21no—
512C2×C8—21no—
513C2×C8—21no—
514C2×C8—21no—
515C2×C8—21no—
516C2×C8—21no—
517C4⋊C4—21no—
518C4⋊C4—21no—
519C4⋊C4—21no—
520C4⋊C4—21no—
521C4⋊C4—21no—
522C4⋊C4—21no—
523C4⋊C4—21no—
524C4⋊C4—21no—
525C4⋊C4—21no—
526C4⋊C4—42no—
527C4⋊C4—42no—
528C4⋊C4—42no—
529C4⋊C4#41×C13112yes—
530C22⋊C4—24no—
531C22⋊C4—24no—
532C22⋊C4—24no—
533C22⋊C4—42no—
534C22⋊C4—42no—
535C22⋊C4—42no—
536C22⋊C4—42no—
537C22⋊C4—42no—
538C22⋊C4—42no—
539C22⋊C4—42no—
540C42—22no—
541C42—22no—
542C42—21no—
543C42—21no—
544C42—21no—
545C42—21no—
546C42—21no—
547C42—21no—
548C42—41no—
549C42—41no—
550C42—42no—
551C42—42no—
552C23—22no—
553C23—22no—
554C23—41no—
555C23—41no—
556C23—41no—
557C23—41no—
558C23—41no—
559C23—41no—
560C23—41no—
561C23—41no—
562C23—41no—
563C23—41no—
564C23—41no—
565C23—41no—
566C23C22×D4×C13111yescharacteristic
567Q8—22no—
568Q8—22no—
569Q8—41no—
570Q8—41no—
571D4—22no—
572D4—22no—
573D4—22no—
574D4—22no—
575D4—41no—
576D4—41no—
577D4—41no—
578D4—41no—
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—22no—
587C2×C4—22no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—21no—
592C2×C4—21no—
593C2×C4—21no—
594C2×C4—21no—
595C2×C4—21no—
596C2×C4—21no—
597C2×C4—48no—
598C2×C4—41no—
599C2×C4—41no—
600C2×C4—41no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4—41no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—41no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—84no—
615C2×C4#135×C13112yes—
616C2×C4AGL(1,ℤ/8)×C13112yes—
617C2×C4C2×#41×C13111yescharacteristic
618C2×C4C2×#41×C13111yescharacteristic
619C2×C4C2×#41×C13111yescharacteristic
620C2×C4C2×#41×C13111yescharacteristic
621C2×C4H(5,𝔽2)×C13111yescharacteristic
622C2×C4H(5,𝔽2)×C13111yescharacteristic
623C8—41no—
624C8—41no—
625C8—41no—
626C8—41no—
627C22—42no—
628C22—42no—
629C22—42no—
630C22—42no—
631C22—42no—
632C22—42no—
633C22—81no—
634C22—81no—
635C22—81no—
636C22—81no—
637C22—81no—
638C22—81no—
639C22—81no—
640C22—81no—
641C22#525×C13111yescharacteristic
642C22#525×C13111yescharacteristic
643C22#535×C13111yescharacteristic
644C22C2×#135×C13111yescharacteristic
645C22C2×AGL(1,ℤ/8)×C13111yescharacteristic
646C22#575×C13111yescharacteristic
647C22#575×C13111yescharacteristic
648C4—22no—
649C4—22no—
650C4—41no—
651C4—41no—
652C4—42no—
653C4—41no—
654C4—42no—
655C4—41no—
656C4—81no—
657C4—81no—
658C4—81no—
659C4—81no—
660C4#551×C13111yescharacteristic
661C4#551×C13111yescharacteristic
662C4#553×C13111yescharacteristic
663C4#553×C13111yescharacteristic
664C2—82no—
665C2—82no—
666C2#2598×C13111yescharacteristic
667C2#3102×C13111yescharacteristic
668C2#3106×C13111yescharacteristic
669C2#3111×C13111yescharacteristic
670C2#3114×C13111yescharacteristic
671C2#3211×C13111yescharacteristic
672C2#3214×C13111yescharacteristic
subgroupG/H
center, socleC23×C131C22×D4
commutator, Frattini, cosocleC22×C4C24×C131
prime radicalC22×D8×C131C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C131 ◁ C43×C131 ◁ G

Complements

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

NH ≅ G/Ntype
1. C4×#124×C131C2semidirect
2. #2293×C131C2semidirect
3. #2101×C131C2semidirect
4. #2092×C131C2semidirect
5. #2042×C131C2semidirect
7. #1927×C131C2semidirect
8. #1925×C131C2semidirect
9. #1880×C131C2semidirect
12. #1877×C131C2semidirect
13. #1864×C131C2semidirect
14. #1863×C131C2semidirect
15. #1839×C131C2semidirect
336. #29373C131direct (N × H)
337. C131#29373direct (N × H)
338. C4×#124C2×C131semidirect
339. #2293C2×C131semidirect
340. #2101C2×C131semidirect
341. #2092C2×C131semidirect
342. #2042C2×C131semidirect
344. #1927C2×C131semidirect
345. #1925C2×C131semidirect
346. #1880C2×C131semidirect
349. #1877C2×C131semidirect
350. #1864C2×C131semidirect
351. #1863C2×C131semidirect
352. #1839C2×C131semidirect

Maximal subgroups

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

subgroupindex
C4×#124×C1312
#2293×C1312
#2101×C1312
#2092×C1312
#2042×C1312
#2012×C1312
#1927×C1312
#1925×C1312
#1880×C1312
#1879×C1312
#1877×C1312
#1864×C1312
#1863×C1312
#1839×C1312
#29373131