Finite Group Databasebeta

← C131×#25205 #45711089

Subgroups — C131×#25205 #45711089

Order 33536.

862 conjugacy classes of subgroups.

The subgroup lattice has 678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#482×C131C211yesmaximal, characteristic
2C2×#465×C131C211yesmaximal, characteristic
3#2499×C131C211yesmaximal, characteristic, complemented
4#2363×C131C211yesmaximal, characteristic
5#2084×C131C211yesmaximal, characteristic, complemented
6#2073×C131C211yesmaximal, characteristic, complemented
7#2068×C131C211yesmaximal, characteristic, complemented
8#2055×C131C211yesmaximal, characteristic, complemented
9#1949×C131C211yesmaximal, characteristic, complemented
10#1927×C131C211yesmaximal, characteristic, complemented
11#1877×C131C211yesmaximal, characteristic, complemented
12#1873×C131C211yesmaximal, characteristic, complemented
13#1850×C131C211yesmaximal, characteristic, complemented
14#1802×C131C211yesmaximal, characteristic, complemented
15#1735×C131C211yesmaximal, characteristic, complemented
16C22×SD16×C131C2211yescharacteristic
17C23×C8×C131C2211yescharacteristic
18C2×C22⋊Q8×C131C2211yescharacteristic
19C2×#121×C131C2211yescharacteristic
20C2×C4×D4×C131C2211yescharacteristic
21C2×#117×C131C2211yescharacteristic
22C2×#117×C131C2211yescharacteristic
23#482×C131—24no—
24#465×C131—24no—
25C2×#107×C131C2211yescharacteristic
26C2×#106×C131C2211yescharacteristic
27C2×#106×C131C2211yescharacteristic
28C2×C4⋊C8×C131C2211yescharacteristic
29C2×C4⋊C8×C131C2211yescharacteristic
30C2×#103×C131C2211yescharacteristic
31C2×#103×C131C2211yescharacteristic
32C2×#103×C131C2211yescharacteristic
33C2×#102×C131C2211yescharacteristic
34C2×#102×C131C2211yescharacteristic
35C2×#102×C131C2211yescharacteristic
36C2×C22⋊C8×C131C2211yescharacteristic
37#397×C131—21no—
38#397×C131—21no—
39#391×C131C2211yescharacteristic
40#391×C131C2211yescharacteristic
41#390×C131—21no—
42#390×C131C2211yescharacteristic
43#389×C131C2211yescharacteristic
44#388×C131—21no—
45#387×C131—21no—
46#387×C131—21no—
47#386×C131—21no—
48#384×C131C2211yescharacteristic
49#382×C131C2211yescharacteristic
50C4×C4⋊C4×C131C2211yescharacteristic
51C4×C22⋊C4×C131—21no—
52C4×C22⋊C4×C131C2211yescharacteristic
53#340×C131C2211yescharacteristic
54#340×C131C2211yescharacteristic
55#340×C131C2211yescharacteristic
56#340×C131C2211yescharacteristic
57#340×C131C2211yescharacteristic
58#340×C131C2211yescharacteristic
59#336×C131C2211yescharacteristic
60#336×C131C2211yescharacteristic
61C22×Q8×C131C2311yescharacteristic
62C22×D4×C131—21no—
63C22×D4×C131C2311yescharacteristic
64C23×C4×C131—21no—
65C23×C4×C131C2311yescharacteristic
66C2×SD16×C131—22no—
67C2×SD16×C131—22no—
68C2×SD16×C131—41no—
69C22×C8×C131—22no—
70C22×C8×C131—22no—
71C22×C8×C131—41no—
72C22×C8×C131C2311yescharacteristic
73C22×C8×C131C2311yescharacteristic
74C22×C8×C131C2311yescharacteristic
75C22×C8×C131C2311yescharacteristic
76C22⋊Q8×C131—22no—
77C22⋊Q8×C131—22no—
78#121×C131—22no—
79#121×C131D414yes—
80C4×D4×C131—22no—
81C4×D4×C131—41no—
82#117×C131—22no—
83#117×C131—22no—
84#117×C131—22no—
85#117×C131—41no—
86C2×C4⋊C4×C131—21no—
87C2×C4⋊C4×C131—21no—
88C2×C4⋊C4×C131—21no—
89C2×C4⋊C4×C131—21no—
90C2×C4⋊C4×C131C2311yescharacteristic
91C2×C4⋊C4×C131C2311yescharacteristic
92C2×C4⋊C4×C131C2311yescharacteristic
93C2×C4⋊C4×C131C2311yescharacteristic
94C2×C4⋊C4×C131C2311yescharacteristic
95C2×C4⋊C4×C131C2311yescharacteristic
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×C22⋊C4×C131—21no—
102C2×C22⋊C4×C131—21no—
103C2×C22⋊C4×C131D411yescharacteristic
104C2×C22⋊C4×C131D411yescharacteristic
105C2×C42×C131—21no—
106C2×C42×C131—21no—
107C2×C42×C131—21no—
108C2×C42×C131C2311yescharacteristic
109C2×C42×C131C2311yescharacteristic
110#107×C131—22no—
111#106×C131—22no—
112#106×C131—22no—
113C4⋊C8×C131—22no—
114C4⋊C8×C131—41no—
115#103×C131—22no—
116#103×C131—22no—
117#103×C131—41no—
118#102×C131—22no—
119#102×C131—22no—
120#102×C131—22no—
121C22⋊C8×C131—22no—
122#95×C131—21no—
123#95×C131—21no—
124#95×C131—21no—
125#95×C131—21no—
126#95×C131—21no—
127#95×C131—21no—
128#95×C131—21no—
129#95×C131—21no—
130#95×C131D411yescharacteristic
131#95×C131D411yescharacteristic
132C24×C131—21no—
133C24×C131C2×D411yescharacteristic
134C2×Q8×C131—21no—
135C2×Q8×C131—21no—
136C2×Q8×C131—21no—
137C2×Q8×C131—21no—
138C2×Q8×C131—21no—
139C2×Q8×C131—21no—
140C2×D4×C131—24no—
141C2×D4×C131—21no—
142C2×D4×C131—21no—
143C2×D4×C131—21no—
144C2×D4×C131—21no—
145C2×D4×C131—21no—
146C2×D4×C131—81no—
147C2×D4×C131—81no—
148C2×D4×C131C2×D412yes—
149C22×C4×C131—21no—
150C22×C4×C131—21no—
151C22×C4×C131—21no—
152C22×C4×C131—21no—
153C22×C4×C131—21no—
154C22×C4×C131—21no—
155C22×C4×C131—21no—
156C22×C4×C131—21no—
157C22×C4×C131—21no—
158C22×C4×C131—21no—
159C22×C4×C131—21no—
160C22×C4×C131—42no—
161C22×C4×C131—42no—
162C22×C4×C131—81no—
163C22×C4×C131C2×D411yescharacteristic
164C22×C4×C131C2×D411yescharacteristic
165C22×C4×C131C2×D411yescharacteristic
166C22×C4×C131C2×D411yescharacteristic
167C22×C4×C131C2×D412yes—
168C22×C4×C131C2×D411yescharacteristic
169C22×C4×C131#4112yes—
170C22×C4×C131C2411yescharacteristic
171SD16×C131—44no—
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—
180C2×C8×C131—21no—
181C2×C8×C131—21no—
182C2×C8×C131—21no—
183C2×C8×C131—44no—
184C2×C8×C131#4112yes—
185C4⋊C4×C131—21no—
186C4⋊C4×C131—21no—
187C4⋊C4×C131—21no—
188C4⋊C4×C131—21no—
189C4⋊C4×C131—21no—
190C4⋊C4×C131—21no—
191C4⋊C4×C131—21no—
192C4⋊C4×C131—21no—
193C4⋊C4×C131—21no—
194C4⋊C4×C131—21no—
195C4⋊C4×C131—42no—
196C4⋊C4×C131—42no—
197C4⋊C4×C131—42no—
198C4⋊C4×C131—81no—
199C4⋊C4×C131C2×D412yes—
200C4⋊C4×C131#4112yes—
201C22⋊C4×C131—24no—
202C22⋊C4×C131—22no—
203C22⋊C4×C131—41no—
204C22⋊C4×C131—42no—
205C22⋊C4×C131—42no—
206C22⋊C4×C131—42no—
207C22⋊C4×C131—42no—
208C22⋊C4×C131—42no—
209C22⋊C4×C131—81no—
210C42×C131—21no—
211C42×C131—21no—
212C42×C131—21no—
213C42×C131—21no—
214C42×C131—42no—
215C42×C131—42no—
216C42×C131—81no—
217C23×C131—21no—
218C23×C131—21no—
219C23×C131—21no—
220C23×C131—21no—
221C23×C131—21no—
222C23×C131—21no—
223C23×C131—22no—
224C23×C131—41no—
225C23×C131—41no—
226C23×C131—41no—
227C23×C131—41no—
228C23×C131—41no—
229C23×C131—41no—
230C23×C131#12112yes—
231C23×C131C22×D411yescharacteristic
232Q8×C131—41no—
233Q8×C131—41no—
234Q8×C131—41no—
235Q8×C131—41no—
236D4×C131—22no—
237D4×C131—22no—
238D4×C131—41no—
239D4×C131—41no—
240D4×C131—84no—
241C2×C4×C131—21no—
242C2×C4×C131—21no—
243C2×C4×C131—21no—
244C2×C4×C131—21no—
245C2×C4×C131—22no—
246C2×C4×C131—22no—
247C2×C4×C131—22no—
248C2×C4×C131—22no—
249C2×C4×C131—22no—
250C2×C4×C131—21no—
251C2×C4×C131—22no—
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—41no—
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—41no—
278C2×C4×C131—41no—
279C2×C4×C131—84no—
280C2×C4×C131#12112yes—
281C2×C4×C131#13512yes—
282C2×C4×C131C22×D411yescharacteristic
283C2×C4×C131C2×#4111yescharacteristic
284C2×C4×C131C2×#4111yescharacteristic
285C2×C4×C131C2×#4111yescharacteristic
286C2×C4×C131H(5,𝔽2)11yescharacteristic
287C2×C4×C1312−1+411yescharacteristic
288C8×C131—22no—
289C8×C131—41no—
290C8×C131—41no—
291C8×C131—41no—
292C22×C131—22no—
293C22×C131—22no—
294C22×C131—22no—
295C22×C131—41no—
296C22×C131—41no—
297C22×C131—41no—
298C22×C131—41no—
299C22×C131—42no—
300C22×C131—42no—
301C22×C131—42no—
302C22×C131—81no—
303C22×C131—81no—
304C22×C131—81no—
305C22×C131—81no—
306C22×C131C2×#12111yescharacteristic
307C22×C131#54611yescharacteristic
308C22×C131#54711yescharacteristic
309C22×C131C2×#13511yescharacteristic
310C22×C131#57511yescharacteristic
311C22×C131#57711yescharacteristic
312C22×C131#57711yescharacteristic
313C4×C131—22no—
314C4×C131—22no—
315C4×C131—41no—
316C4×C131—41no—
317C4×C131—42no—
318C4×C131—42no—
319C4×C131—41no—
320C4×C131—81no—
321C4×C131—81no—
322C4×C131—81no—
323C4×C131—81no—
324C4×C131—81no—
325C4×C131#52911yescharacteristic
326C4×C131#53911yescharacteristic
327C4×C131#54611yescharacteristic
328C4×C131#54711yescharacteristic
329C2×C131—42no—
330C2×C131—82no—
331C2×C131#242511yescharacteristic
332C2×C131#303511yescharacteristic
333C2×C131#304211yescharacteristic
334C2×C131#329611yescharacteristic
335C2×C131#331711yescharacteristic
336C2×C131#334011yescharacteristic
337C2×C131#335011yescharacteristic
338#25205C13111yesmaximal, characteristic, direct product factor, Sylow
339C131#2520511yescharacteristic, direct product factor, Sylow
340C2×#482C2×C13111yescharacteristic
341C2×#465C2×C13111yescharacteristic
342#2499C2×C13111yescharacteristic, complemented
343#2363C2×C13111yescharacteristic
344#2084C2×C13111yescharacteristic, complemented
345#2073C2×C13111yescharacteristic, complemented
346#2068C2×C13111yescharacteristic, complemented
347#2055C2×C13111yescharacteristic, complemented
348#1949C2×C13111yescharacteristic, complemented
349#1927C2×C13111yescharacteristic, complemented
350#1877C2×C13111yescharacteristic, complemented
351#1873C2×C13111yescharacteristic, complemented
352#1850C2×C13111yescharacteristic, complemented
353#1802C2×C13111yescharacteristic, complemented
354#1735C2×C13111yescharacteristic, complemented
355C22×SD16C22×C13111yescharacteristic
356C23×C8C22×C13111yescharacteristic
357C2×C22⋊Q8C22×C13111yescharacteristic
358C2×#121C22×C13111yescharacteristic
359C2×C4×D4C22×C13111yescharacteristic
360C2×#117C22×C13111yescharacteristic
361C2×#117C22×C13111yescharacteristic
362#482—24no—
363#465—24no—
364C2×#107C22×C13111yescharacteristic
365C2×#106C22×C13111yescharacteristic
366C2×#106C22×C13111yescharacteristic
367C2×C4⋊C8C22×C13111yescharacteristic
368C2×C4⋊C8C22×C13111yescharacteristic
369C2×#103C22×C13111yescharacteristic
370C2×#103C22×C13111yescharacteristic
371C2×#103C22×C13111yescharacteristic
372C2×#102C22×C13111yescharacteristic
373C2×#102C22×C13111yescharacteristic
374C2×#102C22×C13111yescharacteristic
375C2×C22⋊C8C22×C13111yescharacteristic
376#397—21no—
377#397—21no—
378#391C22×C13111yescharacteristic
379#391C22×C13111yescharacteristic
380#390—21no—
381#390C22×C13111yescharacteristic
382#389C22×C13111yescharacteristic
383#388—21no—
384#387—21no—
385#387—21no—
386#386—21no—
387#384C22×C13111yescharacteristic
388#382C22×C13111yescharacteristic
389C4×C4⋊C4C22×C13111yescharacteristic
390C4×C22⋊C4—21no—
391C4×C22⋊C4C22×C13111yescharacteristic
392#340C22×C13111yescharacteristic
393#340C22×C13111yescharacteristic
394#340C22×C13111yescharacteristic
395#340C22×C13111yescharacteristic
396#340C22×C13111yescharacteristic
397#340C22×C13111yescharacteristic
398#336C22×C13111yescharacteristic
399#336C22×C13111yescharacteristic
400C22×Q8C23×C13111yescharacteristic
401C22×D4—21no—
402C22×D4C23×C13111yescharacteristic
403C23×C4—21no—
404C23×C4C23×C13111yescharacteristic
405C2×SD16—22no—
406C2×SD16—22no—
407C2×SD16—41no—
408C22×C8—22no—
409C22×C8—22no—
410C22×C8—41no—
411C22×C8C23×C13111yescharacteristic
412C22×C8C23×C13111yescharacteristic
413C22×C8C23×C13111yescharacteristic
414C22×C8C23×C13111yescharacteristic
415C22⋊Q8—22no—
416C22⋊Q8—22no—
417#121—22no—
418#121D4×C13114yes—
419C4×D4—22no—
420C4×D4—41no—
421#117—22no—
422#117—22no—
423#117—22no—
424#117—41no—
425C2×C4⋊C4—21no—
426C2×C4⋊C4—21no—
427C2×C4⋊C4—21no—
428C2×C4⋊C4—21no—
429C2×C4⋊C4C23×C13111yescharacteristic
430C2×C4⋊C4C23×C13111yescharacteristic
431C2×C4⋊C4C23×C13111yescharacteristic
432C2×C4⋊C4C23×C13111yescharacteristic
433C2×C4⋊C4C23×C13111yescharacteristic
434C2×C4⋊C4C23×C13111yescharacteristic
435C2×C22⋊C4—21no—
436C2×C22⋊C4—21no—
437C2×C22⋊C4—21no—
438C2×C22⋊C4—21no—
439C2×C22⋊C4—21no—
440C2×C22⋊C4—21no—
441C2×C22⋊C4—21no—
442C2×C22⋊C4D4×C13111yescharacteristic
443C2×C22⋊C4D4×C13111yescharacteristic
444C2×C42—21no—
445C2×C42—21no—
446C2×C42—21no—
447C2×C42C23×C13111yescharacteristic
448C2×C42C23×C13111yescharacteristic
449#107—22no—
450#106—22no—
451#106—22no—
452C4⋊C8—22no—
453C4⋊C8—41no—
454#103—22no—
455#103—22no—
456#103—41no—
457#102—22no—
458#102—22no—
459#102—22no—
460C22⋊C8—22no—
461#95—21no—
462#95—21no—
463#95—21no—
464#95—21no—
465#95—21no—
466#95—21no—
467#95—21no—
468#95—21no—
469#95D4×C13111yescharacteristic
470#95D4×C13111yescharacteristic
471C24—21no—
472C24C2×D4×C13111yescharacteristic
473C2×Q8—21no—
474C2×Q8—21no—
475C2×Q8—21no—
476C2×Q8—21no—
477C2×Q8—21no—
478C2×Q8—21no—
479C2×D4—24no—
480C2×D4—21no—
481C2×D4—21no—
482C2×D4—21no—
483C2×D4—21no—
484C2×D4—21no—
485C2×D4—81no—
486C2×D4—81no—
487C2×D4C2×D4×C13112yes—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—21no—
495C22×C4—21no—
496C22×C4—21no—
497C22×C4—21no—
498C22×C4—21no—
499C22×C4—42no—
500C22×C4—42no—
501C22×C4—81no—
502C22×C4C2×D4×C13111yescharacteristic
503C22×C4C2×D4×C13111yescharacteristic
504C22×C4C2×D4×C13111yescharacteristic
505C22×C4C2×D4×C13111yescharacteristic
506C22×C4C2×D4×C13112yes—
507C22×C4C2×D4×C13111yescharacteristic
508C22×C4#41×C13112yes—
509C22×C4C24×C13111yescharacteristic
510SD16—44no—
511C2×C8—21no—
512C2×C8—21no—
513C2×C8—21no—
514C2×C8—21no—
515C2×C8—21no—
516C2×C8—21no—
517C2×C8—21no—
518C2×C8—21no—
519C2×C8—21no—
520C2×C8—21no—
521C2×C8—21no—
522C2×C8—44no—
523C2×C8#41×C13112yes—
524C4⋊C4—21no—
525C4⋊C4—21no—
526C4⋊C4—21no—
527C4⋊C4—21no—
528C4⋊C4—21no—
529C4⋊C4—21no—
530C4⋊C4—21no—
531C4⋊C4—21no—
532C4⋊C4—21no—
533C4⋊C4—21no—
534C4⋊C4—42no—
535C4⋊C4—42no—
536C4⋊C4—42no—
537C4⋊C4—81no—
538C4⋊C4C2×D4×C13112yes—
539C4⋊C4#41×C13112yes—
540C22⋊C4—24no—
541C22⋊C4—22no—
542C22⋊C4—41no—
543C22⋊C4—42no—
544C22⋊C4—42no—
545C22⋊C4—42no—
546C22⋊C4—42no—
547C22⋊C4—42no—
548C22⋊C4—81no—
549C42—21no—
550C42—21no—
551C42—21no—
552C42—21no—
553C42—42no—
554C42—42no—
555C42—81no—
556C23—21no—
557C23—21no—
558C23—21no—
559C23—21no—
560C23—21no—
561C23—21no—
562C23—22no—
563C23—41no—
564C23—41no—
565C23—41no—
566C23—41no—
567C23—41no—
568C23—41no—
569C23#121×C13112yes—
570C23C22×D4×C13111yescharacteristic
571Q8—41no—
572Q8—41no—
573Q8—41no—
574Q8—41no—
575D4—22no—
576D4—22no—
577D4—41no—
578D4—41no—
579D4—84no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—22no—
585C2×C4—22no—
586C2×C4—22no—
587C2×C4—22no—
588C2×C4—22no—
589C2×C4—21no—
590C2×C4—22no—
591C2×C4—21no—
592C2×C4—21no—
593C2×C4—21no—
594C2×C4—21no—
595C2×C4—21no—
596C2×C4—21no—
597C2×C4—21no—
598C2×C4—21no—
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—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—84no—
619C2×C4#121×C13112yes—
620C2×C4#135×C13112yes—
621C2×C4C22×D4×C13111yescharacteristic
622C2×C4C2×#41×C13111yescharacteristic
623C2×C4C2×#41×C13111yescharacteristic
624C2×C4C2×#41×C13111yescharacteristic
625C2×C4H(5,𝔽2)×C13111yescharacteristic
626C2×C42−1+4×C13111yescharacteristic
627C8—22no—
628C8—41no—
629C8—41no—
630C8—41no—
631C22—22no—
632C22—22no—
633C22—22no—
634C22—41no—
635C22—41no—
636C22—41no—
637C22—41no—
638C22—42no—
639C22—42no—
640C22—42no—
641C22—81no—
642C22—81no—
643C22—81no—
644C22—81no—
645C22C2×#121×C13111yescharacteristic
646C22#546×C13111yescharacteristic
647C22#547×C13111yescharacteristic
648C22C2×#135×C13111yescharacteristic
649C22#575×C13111yescharacteristic
650C22#577×C13111yescharacteristic
651C22#577×C13111yescharacteristic
652C4—22no—
653C4—22no—
654C4—42no—
655C4—42no—
656C4—41no—
657C4—41no—
658C4—41no—
659C4—81no—
660C4—81no—
661C4—81no—
662C4—81no—
663C4—81no—
664C4#529×C13111yescharacteristic
665C4#539×C13111yescharacteristic
666C4#546×C13111yescharacteristic
667C4#547×C13111yescharacteristic
668C2—42no—
669C2—82no—
670C2#2425×C13111yescharacteristic
671C2#3035×C13111yescharacteristic
672C2#3042×C13111yescharacteristic
673C2#3296×C13111yescharacteristic
674C2#3317×C13111yescharacteristic
675C2#3340×C13111yescharacteristic
676C2#3350×C13111yescharacteristic
subgroupG/H
center, socleC23×C131C22×D4
commutator, Frattini, cosocleC22×C4C24×C131
prime radicalC2×#121×C131C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C131 ◁ C4×C22⋊C4×C131 ◁ G

Complements

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

NH ≅ G/Ntype
3. #2499×C131C2semidirect
5. #2084×C131C2semidirect
6. #2073×C131C2semidirect
7. #2068×C131C2semidirect
8. #2055×C131C2semidirect
9. #1949×C131C2semidirect
10. #1927×C131C2semidirect
11. #1877×C131C2semidirect
12. #1873×C131C2semidirect
13. #1850×C131C2semidirect
14. #1802×C131C2semidirect
15. #1735×C131C2semidirect
338. #25205C131direct (N × H)
339. C131#25205direct (N × H)
342. #2499C2×C131semidirect
344. #2084C2×C131semidirect
345. #2073C2×C131semidirect
346. #2068C2×C131semidirect
347. #2055C2×C131semidirect
348. #1949C2×C131semidirect
349. #1927C2×C131semidirect
350. #1877C2×C131semidirect
351. #1873C2×C131semidirect
352. #1850C2×C131semidirect
353. #1802C2×C131semidirect
354. #1735C2×C131semidirect

Maximal subgroups

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

subgroupindex
C2×#482×C1312
C2×#465×C1312
#2499×C1312
#2363×C1312
#2084×C1312
#2073×C1312
#2068×C1312
#2055×C1312
#1949×C1312
#1927×C1312
#1877×C1312
#1873×C1312
#1850×C1312
#1802×C1312
#1735×C1312
#25205131