Finite Group Databasebeta

← C131×#26796 #45712680

Subgroups — C131×#26796 #45712680

Order 33536.

838 conjugacy classes of subgroups.

The subgroup lattice has 676 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#485×C131C211yesmaximal, characteristic, complemented
2C2×#478×C131C211yesmaximal, characteristic, complemented
3#2489×C131C211yesmaximal, characteristic, complemented
4#2363×C131C211yesmaximal, characteristic
5#2066×C131C211yesmaximal, characteristic, complemented
6#2059×C131C211yesmaximal, characteristic, complemented
7#2034×C131C211yesmaximal, characteristic
8#2000×C131C211yesmaximal, characteristic
9#1968×C131C211yesmaximal, characteristic, complemented
10#1928×C131C211yesmaximal, characteristic, complemented
11#1925×C131C211yesmaximal, characteristic, complemented
12#1923×C131C211yesmaximal, characteristic, complemented
13#1877×C131C211yesmaximal, characteristic, complemented
14#1854×C131C211yesmaximal, characteristic, complemented
15C4×#106×C131C211yesmaximal, characteristic, complemented
16C22×SD16×C131C2211yescharacteristic
17C2×#125×C131C2211yescharacteristic
18C2×C22⋊Q8×C131C2211yescharacteristic
19C2×#121×C131C2211yescharacteristic
20C2×C4×D4×C131C2211yescharacteristic
21C2×#117×C131C2211yescharacteristic
22#485×C131—24no—
23#478×C131—24no—
24C2×#107×C131C2211yescharacteristic
25C2×#107×C131C2211yescharacteristic
26C2×#106×C131C2211yescharacteristic
27C2×#106×C131C2211yescharacteristic
28C2×#106×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
37C2×C22⋊C8×C131C2211yescharacteristic
38C2×C4×C8×C131C2211yescharacteristic
39#400×C131—21no—
40#397×C131—21no—
41#391×C131C2211yescharacteristic
42#391×C131C2211yescharacteristic
43#390×C131—21no—
44#390×C131C2211yescharacteristic
45#389×C131C2211yescharacteristic
46#388×C131—21no—
47#388×C131—21no—
48#386×C131—21no—
49#382×C131—21no—
50#380×C131C2211yescharacteristic
51C4×C4⋊C4×C131C2211yescharacteristic
52C4×C4⋊C4×C131C2211yescharacteristic
53C4×C22⋊C4×C131—21no—
54C4×C22⋊C4×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×C131C2311yescharacteristic
70C22×C8×C131C2311yescharacteristic
71C22×C8×C131C2311yescharacteristic
72C22×C8×C131C2311yescharacteristic
73#125×C131—22no—
74#125×C131—41no—
75C22⋊Q8×C131—22no—
76C22⋊Q8×C131—41no—
77#121×C131—22no—
78#121×C131—22no—
79C4×D4×C131—22no—
80C4×D4×C131—41no—
81#117×C131—22no—
82#117×C131—41no—
83C2×C4⋊C4×C131—21no—
84C2×C4⋊C4×C131—21no—
85C2×C4⋊C4×C131—21no—
86C2×C4⋊C4×C131—21no—
87C2×C4⋊C4×C131C2311yescharacteristic
88C2×C4⋊C4×C131C2311yescharacteristic
89C2×C4⋊C4×C131C2311yescharacteristic
90C2×C4⋊C4×C131C2311yescharacteristic
91C2×C4⋊C4×C131C2311yescharacteristic
92C2×C4⋊C4×C131C2311yescharacteristic
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×C131D411yescharacteristic
101C2×C22⋊C4×C131D411yescharacteristic
102C2×C42×C131—21no—
103C2×C42×C131—21no—
104C2×C42×C131—21no—
105C2×C42×C131C2311yescharacteristic
106C2×C42×C131C2311yescharacteristic
107#107×C131—22no—
108#107×C131—22no—
109#106×C131—22no—
110#106×C131—41no—
111#106×C131D414yescomplemented
112C4⋊C8×C131—22no—
113#103×C131—22no—
114#103×C131—22no—
115#103×C131—22no—
116#102×C131—22no—
117#102×C131—22no—
118#102×C131—22no—
119C22⋊C8×C131—22no—
120C22⋊C8×C131—22no—
121C4×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×C131#4112yes—
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—21no—
161C22×C4×C131—21no—
162C22×C4×C131—42no—
163C22×C4×C131—42no—
164C22×C4×C131—81no—
165C22×C4×C131C2×D411yescharacteristic
166C22×C4×C131C2×D411yescharacteristic
167C22×C4×C131C2×D411yescharacteristic
168C22×C4×C131C2×D411yescharacteristic
169C22×C4×C131C2×D411yescharacteristic
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×C131C2×D412yes—
183C2×C8×C131#4112yes—
184C4⋊C4×C131—21no—
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—42no—
194C4⋊C4×C131—42no—
195C4⋊C4×C131—42no—
196C4⋊C4×C131—81no—
197C4⋊C4×C131C2×D412yes—
198C4⋊C4×C131C2×D412yes—
199C4⋊C4×C131#4112yes—
200C22⋊C4×C131—24no—
201C22⋊C4×C131—22no—
202C22⋊C4×C131—41no—
203C22⋊C4×C131—42no—
204C22⋊C4×C131—42no—
205C22⋊C4×C131—42no—
206C22⋊C4×C131—42no—
207C22⋊C4×C131—42no—
208C22⋊C4×C131—81no—
209C42×C131—21no—
210C42×C131—21no—
211C42×C131—21no—
212C42×C131—21no—
213C42×C131—42no—
214C42×C131—42no—
215C42×C131—81no—
216C23×C131—22no—
217C23×C131—21no—
218C23×C131—21no—
219C23×C131—21no—
220C23×C131—21no—
221C23×C131—21no—
222C23×C131—21no—
223C23×C131—21no—
224C23×C131—41no—
225C23×C131—41no—
226C23×C131—41no—
227C23×C131—41no—
228C23×C131—41no—
229C23×C131—41no—
230C23×C131C22×D411yescharacteristic
231Q8×C131—41no—
232Q8×C131—41no—
233Q8×C131—41no—
234Q8×C131—41no—
235D4×C131—22no—
236D4×C131—22no—
237D4×C131—41no—
238D4×C131—41no—
239D4×C131—84no—
240C2×C4×C131—21no—
241C2×C4×C131—21no—
242C2×C4×C131—21no—
243C2×C4×C131—22no—
244C2×C4×C131—21no—
245C2×C4×C131—21no—
246C2×C4×C131—21no—
247C2×C4×C131—22no—
248C2×C4×C131—22no—
249C2×C4×C131—21no—
250C2×C4×C131—21no—
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—41no—
258C2×C4×C131—41no—
259C2×C4×C131—41no—
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#13512yes—
281C2×C4×C131C22×D411yescharacteristic
282C2×C4×C131C2×#4111yescharacteristic
283C2×C4×C131C2×#4111yescharacteristic
284C2×C4×C131C2×#4111yescharacteristic
285C2×C4×C131H(5,𝔽2)11yescharacteristic
286C2×C4×C1312−1+411yescharacteristic
287C8×C131—22no—
288C8×C131—22no—
289C8×C131—41no—
290C8×C131—41no—
291C22×C131—41no—
292C22×C131—41no—
293C22×C131—41no—
294C22×C131—42no—
295C22×C131—41no—
296C22×C131—42no—
297C22×C131—41no—
298C22×C131—42no—
299C22×C131—41no—
300C22×C131—41no—
301C22×C131—81no—
302C22×C131—81no—
303C22×C131—81no—
304C22×C131—81no—
305C22×C131#52511yescharacteristic
306C22×C131D4211yescharacteristic
307C22×C131#54711yescharacteristic
308C22×C131C2×#13511yescharacteristic
309C22×C131#57511yescharacteristic
310C22×C131#57711yescharacteristic
311C22×C131#57711yescharacteristic
312C4×C131—22no—
313C4×C131—41no—
314C4×C131—42no—
315C4×C131—41no—
316C4×C131—41no—
317C4×C131—42no—
318C4×C131—41no—
319C4×C131—42no—
320C4×C131—81no—
321C4×C131—81no—
322C4×C131—81no—
323C4×C131—81no—
324C4×C131#53211yescharacteristic
325C4×C131#54211yescharacteristic
326C4×C131#54811yescharacteristic
327C4×C131#55111yescharacteristic
328C2×C131—81no—
329C2×C131—82no—
330C2×C131#246111yescharacteristic
331C2×C131#310211yescharacteristic
332C2×C131#312311yescharacteristic
333C2×C131#327511yescharacteristic
334C2×C131#328411yescharacteristic
335C2×C131#333711yescharacteristic
336C2×C131#334811yescharacteristic
337#26796C13111yesmaximal, characteristic, direct product factor, Sylow
338C131#2679611yescharacteristic, direct product factor, Sylow
339C2×#485C2×C13111yescharacteristic, complemented
340C2×#478C2×C13111yescharacteristic, complemented
341#2489C2×C13111yescharacteristic, complemented
342#2363C2×C13111yescharacteristic
343#2066C2×C13111yescharacteristic, complemented
344#2059C2×C13111yescharacteristic, complemented
345#2034C2×C13111yescharacteristic
346#2000C2×C13111yescharacteristic
347#1968C2×C13111yescharacteristic, complemented
348#1928C2×C13111yescharacteristic, complemented
349#1925C2×C13111yescharacteristic, complemented
350#1923C2×C13111yescharacteristic, complemented
351#1877C2×C13111yescharacteristic, complemented
352#1854C2×C13111yescharacteristic, complemented
353C4×#106C2×C13111yescharacteristic, complemented
354C22×SD16C22×C13111yescharacteristic
355C2×#125C22×C13111yescharacteristic
356C2×C22⋊Q8C22×C13111yescharacteristic
357C2×#121C22×C13111yescharacteristic
358C2×C4×D4C22×C13111yescharacteristic
359C2×#117C22×C13111yescharacteristic
360#485—24no—
361#478—24no—
362C2×#107C22×C13111yescharacteristic
363C2×#107C22×C13111yescharacteristic
364C2×#106C22×C13111yescharacteristic
365C2×#106C22×C13111yescharacteristic
366C2×#106C22×C13111yescharacteristic
367C2×C4⋊C8C22×C13111yescharacteristic
368C2×#103C22×C13111yescharacteristic
369C2×#103C22×C13111yescharacteristic
370C2×#103C22×C13111yescharacteristic
371C2×#102C22×C13111yescharacteristic
372C2×#102C22×C13111yescharacteristic
373C2×#102C22×C13111yescharacteristic
374C2×C22⋊C8C22×C13111yescharacteristic
375C2×C22⋊C8C22×C13111yescharacteristic
376C2×C4×C8C22×C13111yescharacteristic
377#400—21no—
378#397—21no—
379#391C22×C13111yescharacteristic
380#391C22×C13111yescharacteristic
381#390—21no—
382#390C22×C13111yescharacteristic
383#389C22×C13111yescharacteristic
384#388—21no—
385#388—21no—
386#386—21no—
387#382—21no—
388#380C22×C13111yescharacteristic
389C4×C4⋊C4C22×C13111yescharacteristic
390C4×C4⋊C4C22×C13111yescharacteristic
391C4×C22⋊C4—21no—
392C4×C22⋊C4C22×C13111yescharacteristic
393#340C22×C13111yescharacteristic
394#340C22×C13111yescharacteristic
395#340C22×C13111yescharacteristic
396#340C22×C13111yescharacteristic
397#336C22×C13111yescharacteristic
398#336C22×C13111yescharacteristic
399C22×Q8C23×C13111yescharacteristic
400C22×D4—21no—
401C22×D4C23×C13111yescharacteristic
402C23×C4—21no—
403C23×C4C23×C13111yescharacteristic
404C2×SD16—22no—
405C2×SD16—22no—
406C2×SD16—41no—
407C22×C8C23×C13111yescharacteristic
408C22×C8C23×C13111yescharacteristic
409C22×C8C23×C13111yescharacteristic
410C22×C8C23×C13111yescharacteristic
411#125—22no—
412#125—41no—
413C22⋊Q8—22no—
414C22⋊Q8—41no—
415#121—22no—
416#121—22no—
417C4×D4—22no—
418C4×D4—41no—
419#117—22no—
420#117—41no—
421C2×C4⋊C4—21no—
422C2×C4⋊C4—21no—
423C2×C4⋊C4—21no—
424C2×C4⋊C4—21no—
425C2×C4⋊C4C23×C13111yescharacteristic
426C2×C4⋊C4C23×C13111yescharacteristic
427C2×C4⋊C4C23×C13111yescharacteristic
428C2×C4⋊C4C23×C13111yescharacteristic
429C2×C4⋊C4C23×C13111yescharacteristic
430C2×C4⋊C4C23×C13111yescharacteristic
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×C22⋊C4D4×C13111yescharacteristic
439C2×C22⋊C4D4×C13111yescharacteristic
440C2×C42—21no—
441C2×C42—21no—
442C2×C42—21no—
443C2×C42C23×C13111yescharacteristic
444C2×C42C23×C13111yescharacteristic
445#107—22no—
446#107—22no—
447#106—22no—
448#106—41no—
449#106D4×C13114yescomplemented
450C4⋊C8—22no—
451#103—22no—
452#103—22no—
453#103—22no—
454#102—22no—
455#102—22no—
456#102—22no—
457C22⋊C8—22no—
458C22⋊C8—22no—
459C4×C8—22no—
460#95—21no—
461#95—21no—
462#95—21no—
463#95—21no—
464#95—21no—
465#95—21no—
466#95—21no—
467#95—21no—
468#95D4×C13111yescharacteristic
469#95D4×C13111yescharacteristic
470C24—21no—
471C24C2×D4×C13111yescharacteristic
472C2×Q8—21no—
473C2×Q8—21no—
474C2×Q8—21no—
475C2×Q8—21no—
476C2×Q8—21no—
477C2×Q8—21no—
478C2×D4—24no—
479C2×D4—21no—
480C2×D4—21no—
481C2×D4—21no—
482C2×D4—21no—
483C2×D4—21no—
484C2×D4—81no—
485C2×D4—81no—
486C2×D4#41×C13112yes—
487C22×C4—21no—
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—21no—
500C22×C4—42no—
501C22×C4—42no—
502C22×C4—81no—
503C22×C4C2×D4×C13111yescharacteristic
504C22×C4C2×D4×C13111yescharacteristic
505C22×C4C2×D4×C13111yescharacteristic
506C22×C4C2×D4×C13111yescharacteristic
507C22×C4C2×D4×C13111yescharacteristic
508C22×C4C24×C13111yescharacteristic
509SD16—44no—
510C2×C8—21no—
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×C8C2×D4×C13112yes—
521C2×C8#41×C13112yes—
522C4⋊C4—21no—
523C4⋊C4—21no—
524C4⋊C4—21no—
525C4⋊C4—21no—
526C4⋊C4—21no—
527C4⋊C4—21no—
528C4⋊C4—21no—
529C4⋊C4—21no—
530C4⋊C4—21no—
531C4⋊C4—42no—
532C4⋊C4—42no—
533C4⋊C4—42no—
534C4⋊C4—81no—
535C4⋊C4C2×D4×C13112yes—
536C4⋊C4C2×D4×C13112yes—
537C4⋊C4#41×C13112yes—
538C22⋊C4—24no—
539C22⋊C4—22no—
540C22⋊C4—41no—
541C22⋊C4—42no—
542C22⋊C4—42no—
543C22⋊C4—42no—
544C22⋊C4—42no—
545C22⋊C4—42no—
546C22⋊C4—81no—
547C42—21no—
548C42—21no—
549C42—21no—
550C42—21no—
551C42—42no—
552C42—42no—
553C42—81no—
554C23—22no—
555C23—21no—
556C23—21no—
557C23—21no—
558C23—21no—
559C23—21no—
560C23—21no—
561C23—21no—
562C23—41no—
563C23—41no—
564C23—41no—
565C23—41no—
566C23—41no—
567C23—41no—
568C23C22×D4×C13111yescharacteristic
569Q8—41no—
570Q8—41no—
571Q8—41no—
572Q8—41no—
573D4—22no—
574D4—22no—
575D4—41no—
576D4—41no—
577D4—84no—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—22no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—22no—
586C2×C4—22no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—21no—
592C2×C4—21no—
593C2×C4—21no—
594C2×C4—21no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—41no—
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—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—84no—
618C2×C4#135×C13112yes—
619C2×C4C22×D4×C13111yescharacteristic
620C2×C4C2×#41×C13111yescharacteristic
621C2×C4C2×#41×C13111yescharacteristic
622C2×C4C2×#41×C13111yescharacteristic
623C2×C4H(5,𝔽2)×C13111yescharacteristic
624C2×C42−1+4×C13111yescharacteristic
625C8—22no—
626C8—22no—
627C8—41no—
628C8—41no—
629C22—41no—
630C22—41no—
631C22—41no—
632C22—41no—
633C22—41no—
634C22—42no—
635C22—41no—
636C22—42no—
637C22—41no—
638C22—42no—
639C22—81no—
640C22—81no—
641C22—81no—
642C22—81no—
643C22#525×C13111yescharacteristic
644C22D42×C13111yescharacteristic
645C22#547×C13111yescharacteristic
646C22C2×#135×C13111yescharacteristic
647C22#575×C13111yescharacteristic
648C22#577×C13111yescharacteristic
649C22#577×C13111yescharacteristic
650C4—22no—
651C4—41no—
652C4—42no—
653C4—41no—
654C4—42no—
655C4—41no—
656C4—42no—
657C4—41no—
658C4—81no—
659C4—81no—
660C4—81no—
661C4—81no—
662C4#532×C13111yescharacteristic
663C4#542×C13111yescharacteristic
664C4#548×C13111yescharacteristic
665C4#551×C13111yescharacteristic
666C2—81no—
667C2—82no—
668C2#2461×C13111yescharacteristic
669C2#3102×C13111yescharacteristic
670C2#3123×C13111yescharacteristic
671C2#3275×C13111yescharacteristic
672C2#3284×C13111yescharacteristic
673C2#3337×C13111yescharacteristic
674C2#3348×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
1. C2×#485×C131C2semidirect
2. C2×#478×C131C2semidirect
3. #2489×C131C2semidirect
5. #2066×C131C2semidirect
6. #2059×C131C2semidirect
9. #1968×C131C2semidirect
10. #1928×C131C2semidirect
11. #1925×C131C2semidirect
12. #1923×C131C2semidirect
13. #1877×C131C2semidirect
14. #1854×C131C2semidirect
15. C4×#106×C131C2semidirect
111. #106×C131D4semidirect
337. #26796C131direct (N × H)
338. C131#26796direct (N × H)
339. C2×#485C2×C131semidirect
340. C2×#478C2×C131semidirect
341. #2489C2×C131semidirect
343. #2066C2×C131semidirect
344. #2059C2×C131semidirect
347. #1968C2×C131semidirect
348. #1928C2×C131semidirect
349. #1925C2×C131semidirect
350. #1923C2×C131semidirect
351. #1877C2×C131semidirect
352. #1854C2×C131semidirect
353. C4×#106C2×C131semidirect
449. #106D4×C131semidirect

Maximal subgroups

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

subgroupindex
C2×#485×C1312
C2×#478×C1312
#2489×C1312
#2363×C1312
#2066×C1312
#2059×C1312
#2034×C1312
#2000×C1312
#1968×C1312
#1928×C1312
#1925×C1312
#1923×C1312
#1877×C1312
#1854×C1312
C4×#106×C1312
#26796131