Finite Group Databasebeta

← C131×#29832 #45715716

Subgroups — C131×#29832 #45715716

Order 33536.

852 conjugacy classes of subgroups.

The subgroup lattice has 680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#478×C131C211yesmaximal, characteristic, complemented
2C2×#463×C131C211yesmaximal, characteristic
3#2861×C131C211yesmaximal, characteristic, complemented
4#2293×C131C211yesmaximal, characteristic, complemented
5#2068×C131C211yesmaximal, characteristic, complemented
6#2067×C131C211yesmaximal, characteristic, complemented
7#2066×C131C211yesmaximal, characteristic, complemented
8#2065×C131C211yesmaximal, characteristic, complemented
9#2055×C131C211yesmaximal, characteristic, complemented
10#2055×C131C211yesmaximal, characteristic, complemented
11#2054×C131C211yesmaximal, characteristic
12#2054×C131C211yesmaximal, characteristic
13#1989×C131C211yesmaximal, characteristic, complemented
14#1983×C131C211yesmaximal, characteristic, complemented
15#1842×C131C211yesmaximal, characteristic, complemented
16C22×SD16×C131C2211yescharacteristic
17C22×D8×C131C2211yescharacteristic
18C2×#125×C131C2211yescharacteristic
19C2×#124×C131C2211yescharacteristic
20C2×C4×D4×C131C2211yescharacteristic
21C2×#117×C131—21no—
22#478×C131—24no—
23#463×C131—24no—
24C2×#107×C131C2211yescharacteristic
25C2×#106×C131C2211yescharacteristic
26C2×C4⋊C8×C131C2211yescharacteristic
27C2×C4⋊C8×C131C2211yescharacteristic
28C2×C4⋊C8×C131C2211yescharacteristic
29C2×C4⋊C8×C131C2211yescharacteristic
30C2×C4⋊C8×C131C2211yescharacteristic
31C2×C4⋊C8×C131C2211yescharacteristic
32C2×#103×C131C2211yescharacteristic
33C2×#103×C131C2211yescharacteristic
34C2×#103×C131C2211yescharacteristic
35C2×#102×C131C2211yescharacteristic
36C2×#102×C131C2211yescharacteristic
37C2×#102×C131C2211yescharacteristic
38C2×#102×C131C2211yescharacteristic
39C2×#102×C131C2211yescharacteristic
40#391×C131C2211yescharacteristic
41#391×C131C2211yescharacteristic
42#390×C131C2211yescharacteristic
43#390×C131C2211yescharacteristic
44#390×C131C2211yescharacteristic
45#390×C131C2211yescharacteristic
46#389×C131C2211yescharacteristic
47#389×C131C2211yescharacteristic
48#388×C131—21no—
49#388×C131—21no—
50#388×C131—21no—
51#388×C131—21no—
52#388×C131—21no—
53#388×C131—21no—
54C4×C4⋊C4×C131C2211yescharacteristic
55C4×C22⋊C4×C131—21no—
56C43×C131C2211yescharacteristic
57#340×C131C2211yescharacteristic
58#340×C131C2211yescharacteristic
59#340×C131C2211yescharacteristic
60#340×C131C2211yescharacteristic
61C22×Q8×C131C2311yescharacteristic
62C22×D4×C131C2311yescharacteristic
63C22×D4×C131C2311yescharacteristic
64C23×C4×C131—21no—
65C2×SD16×C131—22no—
66C2×SD16×C131—41no—
67C2×SD16×C131—41no—
68C2×D8×C131—22no—
69C2×D8×C131—41no—
70C2×D8×C131—41no—
71C22×C8×C131C2311yescharacteristic
72C22×C8×C131C2311yescharacteristic
73C22×C8×C131C2311yescharacteristic
74C22×C8×C131C2311yescharacteristic
75#125×C131—22no—
76#125×C131—22no—
77#124×C131—22no—
78#124×C131—22no—
79C4×D4×C131—22no—
80C4×D4×C131D414yes—
81#117×C131—44no—
82C2×C4⋊C4×C131—21no—
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×C22⋊C4×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—22no—
111#106×C131—22no—
112C4⋊C8×C131—22no—
113C4⋊C8×C131—22no—
114C4⋊C8×C131—41no—
115C4⋊C8×C131—41no—
116C4⋊C8×C131—41no—
117C4⋊C8×C131—41no—
118#103×C131—22no—
119#103×C131—41no—
120#103×C131—41no—
121#102×C131—22no—
122#102×C131—22no—
123#102×C131—22no—
124#102×C131—41no—
125#102×C131—41no—
126#95×C131—21no—
127#95×C131—21no—
128#95×C131—21no—
129#95×C131—21no—
130#95×C131—21no—
131#95×C131—21no—
132#95×C131—21no—
133C24×C131—21no—
134C24×C131—21no—
135C2×Q8×C131—21no—
136C2×Q8×C131—21no—
137C2×Q8×C131—21no—
138C2×Q8×C131—21no—
139C2×Q8×C131—21no—
140C2×Q8×C131—21no—
141C2×D4×C131—21no—
142C2×D4×C131—21no—
143C2×D4×C131—21no—
144C2×D4×C131—21no—
145C2×D4×C131—21no—
146C2×D4×C131—21no—
147C2×D4×C131—21no—
148C2×D4×C131—21no—
149C2×D4×C131—21no—
150C2×D4×C131—21no—
151C2×D4×C131—21no—
152C2×D4×C131C2×D412yes—
153C22×C4×C131—21no—
154C22×C4×C131—24no—
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×C131C2×D411yescharacteristic
163C22×C4×C131C2×D411yescharacteristic
164C22×C4×C131C2×D411yescharacteristic
165C22×C4×C131C2×D411yescharacteristic
166C22×C4×C131C2×D411yescharacteristic
167C22×C4×C131C2×D411yescharacteristic
168C22×C4×C131C2411yescharacteristic
169SD16×C131—44no—
170D8×C131—44no—
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—
180C2×C8×C131—21no—
181C2×C8×C131—21no—
182C2×C8×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—21no—
190C4⋊C4×C131—21no—
191C4⋊C4×C131—21no—
192C4⋊C4×C131—42no—
193C4⋊C4×C131—42no—
194C4⋊C4×C131—42no—
195C4⋊C4×C131—42no—
196C4⋊C4×C131C2×D412yes—
197C22⋊C4×C131—24no—
198C22⋊C4×C131—42no—
199C22⋊C4×C131—42no—
200C22⋊C4×C131—42no—
201C22⋊C4×C131—42no—
202C22⋊C4×C131—42no—
203C22⋊C4×C131—42no—
204C22⋊C4×C131—42no—
205C22⋊C4×C131—42no—
206C22⋊C4×C131—42no—
207C22⋊C4×C131—42no—
208C42×C131—22no—
209C42×C131—22no—
210C42×C131—21no—
211C42×C131—21no—
212C42×C131—21no—
213C42×C131—21no—
214C42×C131—41no—
215C42×C131—41no—
216C42×C131—42no—
217C42×C131C2×D412yes—
218C42×C131#4112yes—
219C23×C131—22no—
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×C131—41no—
230C23×C131—41no—
231C23×C131—41no—
232C23×C131—41no—
233C23×C131C22×D411yescharacteristic
234Q8×C131—41no—
235Q8×C131—41no—
236Q8×C131—41no—
237Q8×C131—41no—
238D4×C131—22no—
239D4×C131—22no—
240D4×C131—41no—
241D4×C131—41no—
242D4×C131—41no—
243D4×C131—41no—
244D4×C131—41no—
245D4×C131—41no—
246C2×C4×C131—21no—
247C2×C4×C131—21no—
248C2×C4×C131—21no—
249C2×C4×C131—21no—
250C2×C4×C131—21no—
251C2×C4×C131—21no—
252C2×C4×C131—21no—
253C2×C4×C131—21no—
254C2×C4×C131—22no—
255C2×C4×C131—21no—
256C2×C4×C131—21no—
257C2×C4×C131—21no—
258C2×C4×C131—21no—
259C2×C4×C131—21no—
260C2×C4×C131—21no—
261C2×C4×C131—48no—
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#12112yes—
280C2×C4×C131#12112yes—
281C2×C4×C131#13512yes—
282C2×C4×C131AGL(1,ℤ/8)12yes—
283C2×C4×C131C22×D411yescharacteristic
284C2×C4×C131C2×#4111yescharacteristic
285C2×C4×C131H(5,𝔽2)11yescharacteristic
286C2×C4×C131H(5,𝔽2)11yescharacteristic
287C2×C4×C1312−1+411yescharacteristic
288C2×C4×C1312−1+411yescharacteristic
289C8×C131—41no—
290C8×C131—41no—
291C8×C131—41no—
292C8×C131—41no—
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—81no—
305C22×C131—81no—
306C22×C131—81no—
307C22×C131C2×#12111yescharacteristic
308C22×C131#53711yescharacteristic
309C22×C131#53711yescharacteristic
310C22×C131C2×#13511yescharacteristic
311C22×C131C2×AGL(1,ℤ/8)11yescharacteristic
312C22×C131#57511yescharacteristic
313C22×C131#57511yescharacteristic
314C4×C131—22no—
315C4×C131—22no—
316C4×C131—22no—
317C4×C131—22no—
318C4×C131—41no—
319C4×C131—41no—
320C4×C131—42no—
321C4×C131—81no—
322C4×C131—81no—
323C4×C131—81no—
324C4×C131—81no—
325C4×C131—81no—
326C4×C131#53511yescharacteristic
327C4×C131#53611yescharacteristic
328C4×C131#54211yescharacteristic
329C4×C131#54211yescharacteristic
330C2×C131—82no—
331C2×C131—161no—
332C2×C131#262011yescharacteristic
333C2×C131#303511yescharacteristic
334C2×C131#303611yescharacteristic
335C2×C131#324711yescharacteristic
336C2×C131#325011yescharacteristic
337C2×C131#325111yescharacteristic
338C2×C131#325611yescharacteristic
339#29832C13111yesmaximal, characteristic, direct product factor, Sylow
340C131#2983211yescharacteristic, direct product factor, Sylow
341C2×#478C2×C13111yescharacteristic, complemented
342C2×#463C2×C13111yescharacteristic
343#2861C2×C13111yescharacteristic, complemented
344#2293C2×C13111yescharacteristic, complemented
345#2068C2×C13111yescharacteristic, complemented
346#2067C2×C13111yescharacteristic, complemented
347#2066C2×C13111yescharacteristic, complemented
348#2065C2×C13111yescharacteristic, complemented
349#2055C2×C13111yescharacteristic, complemented
350#2055C2×C13111yescharacteristic, complemented
351#2054C2×C13111yescharacteristic
352#2054C2×C13111yescharacteristic
353#1989C2×C13111yescharacteristic, complemented
354#1983C2×C13111yescharacteristic, complemented
355#1842C2×C13111yescharacteristic, complemented
356C22×SD16C22×C13111yescharacteristic
357C22×D8C22×C13111yescharacteristic
358C2×#125C22×C13111yescharacteristic
359C2×#124C22×C13111yescharacteristic
360C2×C4×D4C22×C13111yescharacteristic
361C2×#117—21no—
362#478—24no—
363#463—24no—
364C2×#107C22×C13111yescharacteristic
365C2×#106C22×C13111yescharacteristic
366C2×C4⋊C8C22×C13111yescharacteristic
367C2×C4⋊C8C22×C13111yescharacteristic
368C2×C4⋊C8C22×C13111yescharacteristic
369C2×C4⋊C8C22×C13111yescharacteristic
370C2×C4⋊C8C22×C13111yescharacteristic
371C2×C4⋊C8C22×C13111yescharacteristic
372C2×#103C22×C13111yescharacteristic
373C2×#103C22×C13111yescharacteristic
374C2×#103C22×C13111yescharacteristic
375C2×#102C22×C13111yescharacteristic
376C2×#102C22×C13111yescharacteristic
377C2×#102C22×C13111yescharacteristic
378C2×#102C22×C13111yescharacteristic
379C2×#102C22×C13111yescharacteristic
380#391C22×C13111yescharacteristic
381#391C22×C13111yescharacteristic
382#390C22×C13111yescharacteristic
383#390C22×C13111yescharacteristic
384#390C22×C13111yescharacteristic
385#390C22×C13111yescharacteristic
386#389C22×C13111yescharacteristic
387#389C22×C13111yescharacteristic
388#388—21no—
389#388—21no—
390#388—21no—
391#388—21no—
392#388—21no—
393#388—21no—
394C4×C4⋊C4C22×C13111yescharacteristic
395C4×C22⋊C4—21no—
396C43C22×C13111yescharacteristic
397#340C22×C13111yescharacteristic
398#340C22×C13111yescharacteristic
399#340C22×C13111yescharacteristic
400#340C22×C13111yescharacteristic
401C22×Q8C23×C13111yescharacteristic
402C22×D4C23×C13111yescharacteristic
403C22×D4C23×C13111yescharacteristic
404C23×C4—21no—
405C2×SD16—22no—
406C2×SD16—41no—
407C2×SD16—41no—
408C2×D8—22no—
409C2×D8—41no—
410C2×D8—41no—
411C22×C8C23×C13111yescharacteristic
412C22×C8C23×C13111yescharacteristic
413C22×C8C23×C13111yescharacteristic
414C22×C8C23×C13111yescharacteristic
415#125—22no—
416#125—22no—
417#124—22no—
418#124—22no—
419C4×D4—22no—
420C4×D4D4×C13114yes—
421#117—44no—
422C2×C4⋊C4—21no—
423C2×C4⋊C4—21no—
424C2×C4⋊C4—21no—
425C2×C4⋊C4—21no—
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⋊C4—21no—
439C2×C22⋊C4—21no—
440C2×C22⋊C4—21no—
441C2×C22⋊C4—21no—
442C2×C42—21no—
443C2×C42D4×C13111yescharacteristic
444C2×C42D4×C13111yescharacteristic
445C2×C42D4×C13111yescharacteristic
446C2×C42D4×C13111yescharacteristic
447C2×C42C23×C13111yescharacteristic
448C2×C42C23×C13111yescharacteristic
449C2×C42C23×C13111yescharacteristic
450#107—22no—
451#106—22no—
452C4⋊C8—22no—
453C4⋊C8—22no—
454C4⋊C8—41no—
455C4⋊C8—41no—
456C4⋊C8—41no—
457C4⋊C8—41no—
458#103—22no—
459#103—41no—
460#103—41no—
461#102—22no—
462#102—22no—
463#102—22no—
464#102—41no—
465#102—41no—
466#95—21no—
467#95—21no—
468#95—21no—
469#95—21no—
470#95—21no—
471#95—21no—
472#95—21no—
473C24—21no—
474C24—21no—
475C2×Q8—21no—
476C2×Q8—21no—
477C2×Q8—21no—
478C2×Q8—21no—
479C2×Q8—21no—
480C2×Q8—21no—
481C2×D4—21no—
482C2×D4—21no—
483C2×D4—21no—
484C2×D4—21no—
485C2×D4—21no—
486C2×D4—21no—
487C2×D4—21no—
488C2×D4—21no—
489C2×D4—21no—
490C2×D4—21no—
491C2×D4—21no—
492C2×D4C2×D4×C13112yes—
493C22×C4—21no—
494C22×C4—24no—
495C22×C4—21no—
496C22×C4—21no—
497C22×C4—21no—
498C22×C4—21no—
499C22×C4—21no—
500C22×C4—42no—
501C22×C4—42no—
502C22×C4C2×D4×C13111yescharacteristic
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—
510D8—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—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—21no—
532C4⋊C4—42no—
533C4⋊C4—42no—
534C4⋊C4—42no—
535C4⋊C4—42no—
536C4⋊C4C2×D4×C13112yes—
537C22⋊C4—24no—
538C22⋊C4—42no—
539C22⋊C4—42no—
540C22⋊C4—42no—
541C22⋊C4—42no—
542C22⋊C4—42no—
543C22⋊C4—42no—
544C22⋊C4—42no—
545C22⋊C4—42no—
546C22⋊C4—42no—
547C22⋊C4—42no—
548C42—22no—
549C42—22no—
550C42—21no—
551C42—21no—
552C42—21no—
553C42—21no—
554C42—41no—
555C42—41no—
556C42—42no—
557C42C2×D4×C13112yes—
558C42#41×C13112yes—
559C23—22no—
560C23—41no—
561C23—41no—
562C23—41no—
563C23—41no—
564C23—41no—
565C23—41no—
566C23—41no—
567C23—41no—
568C23—41no—
569C23—41no—
570C23—41no—
571C23—41no—
572C23—41no—
573C23C22×D4×C13111yescharacteristic
574Q8—41no—
575Q8—41no—
576Q8—41no—
577Q8—41no—
578D4—22no—
579D4—22no—
580D4—41no—
581D4—41no—
582D4—41no—
583D4—41no—
584D4—41no—
585D4—41no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—21no—
592C2×C4—21no—
593C2×C4—21no—
594C2×C4—22no—
595C2×C4—21no—
596C2×C4—21no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—48no—
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—41no—
619C2×C4#121×C13112yes—
620C2×C4#121×C13112yes—
621C2×C4#135×C13112yes—
622C2×C4AGL(1,ℤ/8)×C13112yes—
623C2×C4C22×D4×C13111yescharacteristic
624C2×C4C2×#41×C13111yescharacteristic
625C2×C4H(5,𝔽2)×C13111yescharacteristic
626C2×C4H(5,𝔽2)×C13111yescharacteristic
627C2×C42−1+4×C13111yescharacteristic
628C2×C42−1+4×C13111yescharacteristic
629C8—41no—
630C8—41no—
631C8—41no—
632C8—41no—
633C22—42no—
634C22—42no—
635C22—42no—
636C22—81no—
637C22—81no—
638C22—81no—
639C22—81no—
640C22—81no—
641C22—81no—
642C22—81no—
643C22—81no—
644C22—81no—
645C22—81no—
646C22—81no—
647C22C2×#121×C13111yescharacteristic
648C22#537×C13111yescharacteristic
649C22#537×C13111yescharacteristic
650C22C2×#135×C13111yescharacteristic
651C22C2×AGL(1,ℤ/8)×C13111yescharacteristic
652C22#575×C13111yescharacteristic
653C22#575×C13111yescharacteristic
654C4—22no—
655C4—22no—
656C4—22no—
657C4—22no—
658C4—41no—
659C4—41no—
660C4—42no—
661C4—81no—
662C4—81no—
663C4—81no—
664C4—81no—
665C4—81no—
666C4#535×C13111yescharacteristic
667C4#536×C13111yescharacteristic
668C4#542×C13111yescharacteristic
669C4#542×C13111yescharacteristic
670C2—82no—
671C2—161no—
672C2#2620×C13111yescharacteristic
673C2#3035×C13111yescharacteristic
674C2#3036×C13111yescharacteristic
675C2#3247×C13111yescharacteristic
676C2#3250×C13111yescharacteristic
677C2#3251×C13111yescharacteristic
678C2#3256×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. C2×#478×C131C2semidirect
3. #2861×C131C2semidirect
4. #2293×C131C2semidirect
5. #2068×C131C2semidirect
6. #2067×C131C2semidirect
7. #2066×C131C2semidirect
8. #2065×C131C2semidirect
9. #2055×C131C2semidirect
10. #2055×C131C2semidirect
13. #1989×C131C2semidirect
14. #1983×C131C2semidirect
15. #1842×C131C2semidirect
339. #29832C131direct (N × H)
340. C131#29832direct (N × H)
341. C2×#478C2×C131semidirect
343. #2861C2×C131semidirect
344. #2293C2×C131semidirect
345. #2068C2×C131semidirect
346. #2067C2×C131semidirect
347. #2066C2×C131semidirect
348. #2065C2×C131semidirect
349. #2055C2×C131semidirect
350. #2055C2×C131semidirect
353. #1989C2×C131semidirect
354. #1983C2×C131semidirect
355. #1842C2×C131semidirect

Maximal subgroups

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

subgroupindex
C2×#478×C1312
C2×#463×C1312
#2861×C1312
#2293×C1312
#2068×C1312
#2067×C1312
#2066×C1312
#2065×C1312
#2055×C1312
#2054×C1312
#1989×C1312
#1983×C1312
#1842×C1312
#29832131