Finite Group Databasebeta

← C131×#22160 #45708044

Subgroups — C131×#22160 #45708044

Order 33536.

880 conjugacy classes of subgroups.

The subgroup lattice has 682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#460×C131C211yesmaximal, characteristic
2#2328×C131C211yesmaximal, characteristic
3#2320×C131C211yesmaximal, characteristic, complemented
4#1982×C131C211yesmaximal, characteristic
5#1973×C131C211yesmaximal, characteristic, complemented
6#1968×C131C211yesmaximal, characteristic, complemented
7#1949×C131C211yesmaximal, characteristic, complemented
8#1936×C131C211yesmaximal, characteristic, complemented
9#1934×C131C211yesmaximal, characteristic, complemented
10#1877×C131C211yesmaximal, characteristic, complemented
11#1877×C131C211yesmaximal, characteristic, complemented
12#1864×C131C211yesmaximal, characteristic, complemented
13#1862×C131C211yesmaximal, characteristic, complemented
14#1805×C131C211yesmaximal, characteristic, complemented
15#1768×C131C211yesmaximal, characteristic, complemented
16C22×SD16×C131C2211yescharacteristic
17C22×SD16×C131C2211yescharacteristic
18C2×#127×C131C2211yescharacteristic
19C2×C4×Q8×C131C2211yescharacteristic
20C2×C4×D4×C131C2211yescharacteristic
21C2×C4×D4×C131C2211yescharacteristic
22#460×C131C418yescomplemented
23C2×#107×C131C2211yescharacteristic
24C2×#106×C131C2211yescharacteristic
25C2×C4⋊C8×C131C2211yescharacteristic
26C2×C4⋊C8×C131C2211yescharacteristic
27C2×#103×C131C2211yescharacteristic
28C2×#103×C131C2211yescharacteristic
29C2×#102×C131C2211yescharacteristic
30C2×#102×C131C2211yescharacteristic
31C2×#102×C131C2211yescharacteristic
32C2×#102×C131C2211yescharacteristic
33C2×#102×C131C2211yescharacteristic
34C2×#102×C131C2211yescharacteristic
35C2×#97×C131C2211yescharacteristic
36C2×C4×C8×C131C2211yescharacteristic
37#391×C131C2211yescharacteristic
38#391×C131C2211yescharacteristic
39#390×C131C2211yescharacteristic
40#390×C131C2211yescharacteristic
41#389×C131C2211yescharacteristic
42#389×C131C2211yescharacteristic
43#387×C131—21no—
44#387×C131—21no—
45#386×C131—21no—
46#386×C131—21no—
47#386×C131—21no—
48#386×C131—21no—
49#383×C131—21no—
50#382×C131—21no—
51#382×C131C2211yescharacteristic
52C4×C4⋊C4×C131C2211yescharacteristic
53#376×C131C2211yescharacteristic
54#340×C131C2211yescharacteristic
55#340×C131C2211yescharacteristic
56#340×C131C2211yescharacteristic
57#340×C131C2211yescharacteristic
58#336×C131C2211yescharacteristic
59#336×C131C2211yescharacteristic
60C22×Q8×C131C2311yescharacteristic
61C22×D4×C131—21no—
62C22×D4×C131—21no—
63C22×D4×C131C2311yescharacteristic
64C22×D4×C131C2311yescharacteristic
65C23×C4×C131—21no—
66C23×C4×C131—21no—
67C2×SD16×C131—41no—
68C2×SD16×C131—41no—
69C2×SD16×C131—41no—
70C2×SD16×C131—41no—
71C2×SD16×C131C2×C414yescomplemented
72C2×SD16×C131C2×C414yescomplemented
73C22×C8×C131C2311yescharacteristic
74C22×C8×C131C2311yescharacteristic
75C22×C8×C131C2311yescharacteristic
76C22×C8×C131C2311yescharacteristic
77#127×C131—22no—
78#127×C131C2×C414yes—
79C4×Q8×C131—22no—
80C4×Q8×C131C2×C414yescomplemented
81C4×D4×C131—41no—
82C4×D4×C131—41no—
83C4×D4×C131—41no—
84C4×D4×C131—41no—
85C2×C4⋊C4×C131—21no—
86C2×C4⋊C4×C131—21no—
87C2×C4⋊C4×C131—21no—
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×C42×C131—21no—
100C2×C42×C131—21no—
101C2×C42×C131C2311yescharacteristic
102C2×C42×C131C2311yescharacteristic
103C2×C42×C131C2311yescharacteristic
104#107×C131—41no—
105#106×C131—41no—
106C4⋊C8×C131—22no—
107C4⋊C8×C131C2×C414yescomplemented
108#103×C131—41no—
109#103×C131—41no—
110#102×C131—41no—
111#102×C131—41no—
112#102×C131—41no—
113#102×C131—41no—
114#102×C131C2×C414yescomplemented
115#102×C131C2×C414yescomplemented
116#97×C131—41no—
117C4×C8×C131—41no—
118#95×C131—21no—
119#95×C131—21no—
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—
127#95×C131D411yescharacteristic
128#95×C131D411yescharacteristic
129#95×C131D411yescharacteristic
130#95×C131D411yescharacteristic
131C24×C131—21no—
132C24×C131—21no—
133C2×Q8×C131—21no—
134C2×Q8×C131—21no—
135C2×Q8×C131—21no—
136C2×Q8×C131—21no—
137C2×Q8×C131—21no—
138C2×Q8×C131C22×C412yes—
139C2×D4×C131—24no—
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—21no—
147C2×D4×C131—21no—
148C2×D4×C131—21no—
149C2×D4×C131—21no—
150C2×D4×C131—21no—
151C2×D4×C131—81no—
152C2×D4×C131—81no—
153C2×D4×C131—81no—
154C2×D4×C131—81no—
155C2×D4×C131C22×C412yes—
156C2×D4×C131C22×C412yes—
157C22×C4×C131—21no—
158C22×C4×C131—21no—
159C22×C4×C131—21no—
160C22×C4×C131—21no—
161C22×C4×C131—21no—
162C22×C4×C131—21no—
163C22×C4×C131—42no—
164C22×C4×C131—42no—
165C22×C4×C131—81no—
166C22×C4×C131—81no—
167C22×C4×C131—81no—
168C22×C4×C131—81no—
169C22×C4×C131C2×D411yescharacteristic
170C22×C4×C131C2×D411yescharacteristic
171C22×C4×C131C2×D411yescharacteristic
172C22×C4×C131C2×D411yescharacteristic
173C22×C4×C131C2×D411yescharacteristic
174C22×C4×C131C2×D411yescharacteristic
175C22×C4×C131C2411yescharacteristic
176SD16×C131—44no—
177SD16×C131—44no—
178C2×C8×C131—21no—
179C2×C8×C131—21no—
180C2×C8×C131—21no—
181C2×C8×C131—21no—
182C2×C8×C131—21no—
183C2×C8×C131—21no—
184C2×C8×C131—21no—
185C2×C8×C131—21no—
186C2×C8×C131—21no—
187C2×C8×C131—21no—
188C2×C8×C131C22×C412yes—
189C2×C8×C131C22×C412yes—
190C4⋊C4×C131—24no—
191C4⋊C4×C131—21no—
192C4⋊C4×C131—21no—
193C4⋊C4×C131—21no—
194C4⋊C4×C131—21no—
195C4⋊C4×C131—21no—
196C4⋊C4×C131—21no—
197C4⋊C4×C131—21no—
198C4⋊C4×C131—21no—
199C4⋊C4×C131—21no—
200C4⋊C4×C131—81no—
201C4⋊C4×C131—81no—
202C4⋊C4×C131C22×C412yes—
203C22⋊C4×C131—42no—
204C22⋊C4×C131—42no—
205C22⋊C4×C131—81no—
206C22⋊C4×C131—81no—
207C22⋊C4×C131—81no—
208C22⋊C4×C131—81no—
209C42×C131—24no—
210C42×C131—21no—
211C42×C131—21no—
212C42×C131—21no—
213C42×C131—21no—
214C42×C131—81no—
215C42×C131C22×C412yes—
216C42×C131#4112yes—
217C23×C131—22no—
218C23×C131—22no—
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×C131—41no—
230C23×C131—41no—
231C23×C131C22×D411yescharacteristic
232Q8×C131—22no—
233Q8×C131—22no—
234Q8×C131—41no—
235Q8×C131—41no—
236D4×C131—22no—
237D4×C131—22no—
238D4×C131—22no—
239D4×C131—22no—
240D4×C131—41no—
241D4×C131—41no—
242D4×C131—41no—
243D4×C131—41no—
244D4×C131—84no—
245D4×C131—84no—
246C2×C4×C131—21no—
247C2×C4×C131—21no—
248C2×C4×C131—21no—
249C2×C4×C131—21no—
250C2×C4×C131—22no—
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—21no—
261C2×C4×C131—21no—
262C2×C4×C131—21no—
263C2×C4×C131—21no—
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—41no—
280C2×C4×C131—84no—
281C2×C4×C131—84no—
282C2×C4×C131C4×D412yes—
283C2×C4×C131C4×D412yes—
284C2×C4×C131C23×C411yescharacteristic
285C2×C4×C131C2×#4111yescharacteristic
286C2×C4×C131H(5,𝔽2)11yescharacteristic
287C2×C4×C131H(5,𝔽2)11yescharacteristic
288C2×C4×C131H(5,𝔽2)11yescharacteristic
289C2×C4×C1312−1+411yescharacteristic
290C8×C131—22no—
291C8×C131—22no—
292C8×C131—41no—
293C8×C131—41no—
294C22×C131—42no—
295C22×C131—42no—
296C22×C131—42no—
297C22×C131—42no—
298C22×C131—42no—
299C22×C131—42no—
300C22×C131—81no—
301C22×C131—81no—
302C22×C131—81no—
303C22×C131—81no—
304C22×C131—81no—
305C22×C131—81no—
306C22×C131—81no—
307C22×C131—81no—
308C22×C131C2×C4×D411yescharacteristic
309C22×C131#53511yescharacteristic
310C22×C131#53711yescharacteristic
311C22×C131#57611yescharacteristic
312C22×C131#57711yescharacteristic
313C22×C131#57711yescharacteristic
314C22×C131#57711yescharacteristic
315C4×C131—22no—
316C4×C131—22no—
317C4×C131—42no—
318C4×C131—42no—
319C4×C131—41no—
320C4×C131—41no—
321C4×C131—41no—
322C4×C131—41no—
323C4×C131—81no—
324C4×C131—81no—
325C4×C131—81no—
326C4×C131—81no—
327C4×C131#51811yescharacteristic
328C4×C131#52011yescharacteristic
329C4×C131#54011yescharacteristic
330C4×C131#54211yescharacteristic
331C2×C131—82no—
332C2×C131—82no—
333C2×C131#232411yescharacteristic
334C2×C131#294611yescharacteristic
335C2×C131#294911yescharacteristic
336C2×C131#322211yescharacteristic
337C2×C131#322411yescharacteristic
338C2×C131#325711yescharacteristic
339C2×C131#326011yescharacteristic
340#22160C13111yesmaximal, characteristic, direct product factor, Sylow
341C131#2216011yescharacteristic, direct product factor, Sylow
342C2×#460C2×C13111yescharacteristic
343#2328C2×C13111yescharacteristic
344#2320C2×C13111yescharacteristic, complemented
345#1982C2×C13111yescharacteristic
346#1973C2×C13111yescharacteristic, complemented
347#1968C2×C13111yescharacteristic, complemented
348#1949C2×C13111yescharacteristic, complemented
349#1936C2×C13111yescharacteristic, complemented
350#1934C2×C13111yescharacteristic, complemented
351#1877C2×C13111yescharacteristic, complemented
352#1877C2×C13111yescharacteristic, complemented
353#1864C2×C13111yescharacteristic, complemented
354#1862C2×C13111yescharacteristic, complemented
355#1805C2×C13111yescharacteristic, complemented
356#1768C2×C13111yescharacteristic, complemented
357C22×SD16C22×C13111yescharacteristic
358C22×SD16C22×C13111yescharacteristic
359C2×#127C22×C13111yescharacteristic
360C2×C4×Q8C22×C13111yescharacteristic
361C2×C4×D4C22×C13111yescharacteristic
362C2×C4×D4C22×C13111yescharacteristic
363#460C4×C13118yescomplemented
364C2×#107C22×C13111yescharacteristic
365C2×#106C22×C13111yescharacteristic
366C2×C4⋊C8C22×C13111yescharacteristic
367C2×C4⋊C8C22×C13111yescharacteristic
368C2×#103C22×C13111yescharacteristic
369C2×#103C22×C13111yescharacteristic
370C2×#102C22×C13111yescharacteristic
371C2×#102C22×C13111yescharacteristic
372C2×#102C22×C13111yescharacteristic
373C2×#102C22×C13111yescharacteristic
374C2×#102C22×C13111yescharacteristic
375C2×#102C22×C13111yescharacteristic
376C2×#97C22×C13111yescharacteristic
377C2×C4×C8C22×C13111yescharacteristic
378#391C22×C13111yescharacteristic
379#391C22×C13111yescharacteristic
380#390C22×C13111yescharacteristic
381#390C22×C13111yescharacteristic
382#389C22×C13111yescharacteristic
383#389C22×C13111yescharacteristic
384#387—21no—
385#387—21no—
386#386—21no—
387#386—21no—
388#386—21no—
389#386—21no—
390#383—21no—
391#382—21no—
392#382C22×C13111yescharacteristic
393C4×C4⋊C4C22×C13111yescharacteristic
394#376C22×C13111yescharacteristic
395#340C22×C13111yescharacteristic
396#340C22×C13111yescharacteristic
397#340C22×C13111yescharacteristic
398#340C22×C13111yescharacteristic
399#336C22×C13111yescharacteristic
400#336C22×C13111yescharacteristic
401C22×Q8C23×C13111yescharacteristic
402C22×D4—21no—
403C22×D4—21no—
404C22×D4C23×C13111yescharacteristic
405C22×D4C23×C13111yescharacteristic
406C23×C4—21no—
407C23×C4—21no—
408C2×SD16—41no—
409C2×SD16—41no—
410C2×SD16—41no—
411C2×SD16—41no—
412C2×SD16C2×C4×C13114yescomplemented
413C2×SD16C2×C4×C13114yescomplemented
414C22×C8C23×C13111yescharacteristic
415C22×C8C23×C13111yescharacteristic
416C22×C8C23×C13111yescharacteristic
417C22×C8C23×C13111yescharacteristic
418#127—22no—
419#127C2×C4×C13114yes—
420C4×Q8—22no—
421C4×Q8C2×C4×C13114yescomplemented
422C4×D4—41no—
423C4×D4—41no—
424C4×D4—41no—
425C4×D4—41no—
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×C22⋊C4—21no—
435C2×C22⋊C4—21no—
436C2×C22⋊C4—21no—
437C2×C22⋊C4—21no—
438C2×C22⋊C4—21no—
439C2×C22⋊C4—21no—
440C2×C42—21no—
441C2×C42—21no—
442C2×C42C23×C13111yescharacteristic
443C2×C42C23×C13111yescharacteristic
444C2×C42C23×C13111yescharacteristic
445#107—41no—
446#106—41no—
447C4⋊C8—22no—
448C4⋊C8C2×C4×C13114yescomplemented
449#103—41no—
450#103—41no—
451#102—41no—
452#102—41no—
453#102—41no—
454#102—41no—
455#102C2×C4×C13114yescomplemented
456#102C2×C4×C13114yescomplemented
457#97—41no—
458C4×C8—41no—
459#95—21no—
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
470#95D4×C13111yescharacteristic
471#95D4×C13111yescharacteristic
472C24—21no—
473C24—21no—
474C2×Q8—21no—
475C2×Q8—21no—
476C2×Q8—21no—
477C2×Q8—21no—
478C2×Q8—21no—
479C2×Q8C22×C4×C13112yes—
480C2×D4—24no—
481C2×D4—24no—
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×D4—81no—
493C2×D4—81no—
494C2×D4—81no—
495C2×D4—81no—
496C2×D4C22×C4×C13112yes—
497C2×D4C22×C4×C13112yes—
498C22×C4—21no—
499C22×C4—21no—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—42no—
505C22×C4—42no—
506C22×C4—81no—
507C22×C4—81no—
508C22×C4—81no—
509C22×C4—81no—
510C22×C4C2×D4×C13111yescharacteristic
511C22×C4C2×D4×C13111yescharacteristic
512C22×C4C2×D4×C13111yescharacteristic
513C22×C4C2×D4×C13111yescharacteristic
514C22×C4C2×D4×C13111yescharacteristic
515C22×C4C2×D4×C13111yescharacteristic
516C22×C4C24×C13111yescharacteristic
517SD16—44no—
518SD16—44no—
519C2×C8—21no—
520C2×C8—21no—
521C2×C8—21no—
522C2×C8—21no—
523C2×C8—21no—
524C2×C8—21no—
525C2×C8—21no—
526C2×C8—21no—
527C2×C8—21no—
528C2×C8—21no—
529C2×C8C22×C4×C13112yes—
530C2×C8C22×C4×C13112yes—
531C4⋊C4—24no—
532C4⋊C4—21no—
533C4⋊C4—21no—
534C4⋊C4—21no—
535C4⋊C4—21no—
536C4⋊C4—21no—
537C4⋊C4—21no—
538C4⋊C4—21no—
539C4⋊C4—21no—
540C4⋊C4—21no—
541C4⋊C4—81no—
542C4⋊C4—81no—
543C4⋊C4C22×C4×C13112yes—
544C22⋊C4—42no—
545C22⋊C4—42no—
546C22⋊C4—81no—
547C22⋊C4—81no—
548C22⋊C4—81no—
549C22⋊C4—81no—
550C42—24no—
551C42—21no—
552C42—21no—
553C42—21no—
554C42—21no—
555C42—81no—
556C42C22×C4×C13112yes—
557C42#41×C13112yes—
558C23—22no—
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—
572C23C22×D4×C13111yescharacteristic
573Q8—22no—
574Q8—22no—
575Q8—41no—
576Q8—41no—
577D4—22no—
578D4—22no—
579D4—22no—
580D4—22no—
581D4—41no—
582D4—41no—
583D4—41no—
584D4—41no—
585D4—84no—
586D4—84no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—22no—
592C2×C4—22no—
593C2×C4—21no—
594C2×C4—21no—
595C2×C4—21no—
596C2×C4—21no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—21no—
602C2×C4—21no—
603C2×C4—21no—
604C2×C4—21no—
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—41no—
620C2×C4—41no—
621C2×C4—84no—
622C2×C4—84no—
623C2×C4C4×D4×C13112yes—
624C2×C4C4×D4×C13112yes—
625C2×C4C23×C4×C13111yescharacteristic
626C2×C4C2×#41×C13111yescharacteristic
627C2×C4H(5,𝔽2)×C13111yescharacteristic
628C2×C4H(5,𝔽2)×C13111yescharacteristic
629C2×C4H(5,𝔽2)×C13111yescharacteristic
630C2×C42−1+4×C13111yescharacteristic
631C8—22no—
632C8—22no—
633C8—41no—
634C8—41no—
635C22—42no—
636C22—42no—
637C22—42no—
638C22—42no—
639C22—42no—
640C22—42no—
641C22—81no—
642C22—81no—
643C22—81no—
644C22—81no—
645C22—81no—
646C22—81no—
647C22—81no—
648C22—81no—
649C22C2×C4×D4×C13111yescharacteristic
650C22#535×C13111yescharacteristic
651C22#537×C13111yescharacteristic
652C22#576×C13111yescharacteristic
653C22#577×C13111yescharacteristic
654C22#577×C13111yescharacteristic
655C22#577×C13111yescharacteristic
656C4—22no—
657C4—22no—
658C4—41no—
659C4—41no—
660C4—42no—
661C4—42no—
662C4—41no—
663C4—41no—
664C4—81no—
665C4—81no—
666C4—81no—
667C4—81no—
668C4#518×C13111yescharacteristic
669C4#520×C13111yescharacteristic
670C4#540×C13111yescharacteristic
671C4#542×C13111yescharacteristic
672C2—82no—
673C2—82no—
674C2#2324×C13111yescharacteristic
675C2#2946×C13111yescharacteristic
676C2#2949×C13111yescharacteristic
677C2#3222×C13111yescharacteristic
678C2#3224×C13111yescharacteristic
679C2#3257×C13111yescharacteristic
680C2#3260×C13111yescharacteristic
subgroupG/H
center, socleC23×C131C22×D4
commutatorC2×C4C23×C4×C131
Frattini, cosocleC22×C4C24×C131
prime radicalC2×#127×C131C22
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C131 ◁ #376×C131 ◁ G

Complements

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

NH ≅ G/Ntype
3. #2320×C131C2semidirect
5. #1973×C131C2semidirect
6. #1968×C131C2semidirect
7. #1949×C131C2semidirect
8. #1936×C131C2semidirect
9. #1934×C131C2semidirect
10. #1877×C131C2semidirect
11. #1877×C131C2semidirect
12. #1864×C131C2semidirect
13. #1862×C131C2semidirect
14. #1805×C131C2semidirect
15. #1768×C131C2semidirect
22. #460×C131C4semidirect
71. C2×SD16×C131C2×C4semidirect
72. C2×SD16×C131C2×C4semidirect
80. C4×Q8×C131C2×C4semidirect
107. C4⋊C8×C131C2×C4semidirect
114. #102×C131C2×C4semidirect
115. #102×C131C2×C4semidirect
340. #22160C131direct (N × H)
341. C131#22160direct (N × H)
344. #2320C2×C131semidirect
346. #1973C2×C131semidirect
347. #1968C2×C131semidirect
348. #1949C2×C131semidirect
349. #1936C2×C131semidirect
350. #1934C2×C131semidirect
351. #1877C2×C131semidirect
352. #1877C2×C131semidirect
353. #1864C2×C131semidirect
354. #1862C2×C131semidirect
355. #1805C2×C131semidirect
356. #1768C2×C131semidirect
363. #460C4×C131semidirect
412. C2×SD16C2×C4×C131semidirect
413. C2×SD16C2×C4×C131semidirect
421. C4×Q8C2×C4×C131semidirect
448. C4⋊C8C2×C4×C131semidirect
455. #102C2×C4×C131semidirect
456. #102C2×C4×C131semidirect

Maximal subgroups

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

subgroupindex
C2×#460×C1312
#2328×C1312
#2320×C1312
#1982×C1312
#1973×C1312
#1968×C1312
#1949×C1312
#1936×C1312
#1934×C1312
#1877×C1312
#1864×C1312
#1862×C1312
#1805×C1312
#1768×C1312
#22160131