Finite Group Databasebeta

← C131×#34951 #45720835

Subgroups — C131×#34951 #45720835

Order 33536.

1692 conjugacy classes of subgroups.

The subgroup lattice has 630 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#2585×C131C214yesmaximal
2#2582×C131C211yesmaximal, characteristic
3#2568×C131C211yesmaximal, characteristic
4#2552×C131C211yesmaximal, characteristic
5#2546×C131C211yesmaximal, characteristic
6#2511×C131C212yesmaximal
7#2509×C131C212yesmaximal
8#2453×C131C212yesmaximal
9#2446×C131C212yesmaximal
10#2402×C131C214yesmaximal
11C4×C4⋊Q8×C131C212yesmaximal
12C4×C4⋊Q8×C131C211yesmaximal, characteristic
13C4×#125×C131C212yesmaximal
14#2295×C131C212yesmaximal
15#2295×C131C212yesmaximal
16C42×Q8×C131C211yesmaximal, characteristic
17C42×Q8×C131C211yesmaximal, characteristic
18C2×C4⋊Q8×C131C2211yescharacteristic
19C2×C4⋊Q8×C131C2212yes—
20C2×#125×C131C2212yes—
21C2×C4×Q8×C131C2211yescharacteristic
22C2×C4×Q8×C131C2211yescharacteristic
23C2×C4×Q8×C131C2211yescharacteristic
24C2×C4×Q8×C131C2211yescharacteristic
25C2×C4×Q8×C131C2211yescharacteristic
26C2×C4×Q8×C131C2212yes—
27C2×C4×Q8×C131C2211yescharacteristic
28#400×C131C2214yes—
29#400×C131C2214yes—
30#400×C131C2214yes—
31#400×C131C2214yes—
32#398×C131C2214yes—
33#398×C131C2214yes—
34#398×C131C2214yes—
35#398×C131C2214yes—
36#391×C131C2212yes—
37#391×C131C2212yes—
38#391×C131C2212yes—
39#391×C131C2212yes—
40#391×C131C2212yes—
41#391×C131C2212yes—
42#391×C131C2212yes—
43#389×C131C2212yes—
44#389×C131C2212yes—
45#389×C131C2212yes—
46#389×C131C2214yes—
47#389×C131C2212yes—
48#389×C131C2212yes—
49#389×C131C2212yes—
50#389×C131C2212yes—
51#389×C131C2212yes—
52#389×C131C2214yes—
53#387×C131C2214yes—
54#387×C131C2214yes—
55#387×C131C2214yes—
56#387×C131C2214yes—
57#387×C131C2214yes—
58#387×C131C2214yes—
59#384×C131C2212yes—
60#384×C131C2211yescharacteristic
61#382×C131C2212yes—
62C4×C4⋊C4×C131C2211yescharacteristic
63C4×C4⋊C4×C131C2212yes—
64C4×C4⋊C4×C131C2211yescharacteristic
65C4×C4⋊C4×C131C2212yes—
66C4×C4⋊C4×C131C2211yescharacteristic
67C4×C4⋊C4×C131C2211yescharacteristic
68C4×C4⋊C4×C131C2211yescharacteristic
69C4×C4⋊C4×C131C2211yescharacteristic
70C4×C4⋊C4×C131C2212yes—
71C4×C4⋊C4×C131C2212yes—
72C4×C4⋊C4×C131C2212yes—
73C4×C4⋊C4×C131C2212yes—
74C4×C4⋊C4×C131C2212yes—
75C4×C4⋊C4×C131C2214yes—
76C4×C4⋊C4×C131C2214yes—
77C4×C4⋊C4×C131C2214yes—
78C4×C4⋊C4×C131C2212yes—
79#376×C131C2214yes—
80C43×C131C2211yescharacteristic
81C43×C131C2212yes—
82C43×C131C2212yes—
83C22×Q8×C131C2312yes—
84C22×Q8×C131C2311yescharacteristic
85C22×Q8×C131C2311yescharacteristic
86C4⋊Q8×C131—28no—
87C4⋊Q8×C131—24no—
88#125×C131—28no—
89C4×Q8×C131—24no—
90C4×Q8×C131—24no—
91C4×Q8×C131—24no—
92C4×Q8×C131—28no—
93C4×Q8×C131—24no—
94C4×Q8×C131—24no—
95C4×Q8×C131Q818yescomplemented
96C2×C4⋊C4×C131C2312yes—
97C2×C4⋊C4×C131C2314yes—
98C2×C4⋊C4×C131C2312yes—
99C2×C4⋊C4×C131C2312yes—
100C2×C4⋊C4×C131C2311yescharacteristic
101C2×C4⋊C4×C131C2311yescharacteristic
102C2×C4⋊C4×C131C2312yes—
103C2×C4⋊C4×C131C2314yes—
104C2×C4⋊C4×C131C2314yes—
105C2×C4⋊C4×C131C2311yescharacteristic
106C2×C4⋊C4×C131C2312yes—
107C2×C4⋊C4×C131C2314yes—
108C2×C4⋊C4×C131C2314yes—
109C2×C4⋊C4×C131C2311yescharacteristic
110C2×C4⋊C4×C131C2312yes—
111C2×C4⋊C4×C131C2312yes—
112C2×C4⋊C4×C131C2312yes—
113C2×C4⋊C4×C131C2312yes—
114C2×C4⋊C4×C131C2314yes—
115C2×C4⋊C4×C131C2314yes—
116C2×C4⋊C4×C131C2312yes—
117C2×C4⋊C4×C131C2311yescharacteristic
118C2×C4⋊C4×C131C2312yes—
119C2×C4⋊C4×C131C2311yescharacteristic
120C2×C42×C131C2312yes—
121C2×C42×C131C2311yescharacteristic
122C2×C42×C131C2312yes—
123C2×C42×C131C2312yes—
124C2×C42×C131C2312yes—
125C2×C42×C131C2312yes—
126C2×C42×C131C2311yescharacteristic
127C2×C42×C131C2312yes—
128C2×C42×C131C2312yes—
129C2×C42×C131C2314yes—
130C2×C42×C131C2312yes—
131C2×C42×C131C2311yescharacteristic
132C2×C42×C131C2312yes—
133C2×C42×C131C2311yescharacteristic
134C2×C42×C131C2312yes—
135C2×C42×C131C2312yes—
136C2×C42×C131C2311yescharacteristic
137C2×C42×C131C2312yes—
138C2×C42×C131C2311yescharacteristic
139C2×C42×C131C2311yescharacteristic
140#95×C131C2314yes—
141#95×C131C2314yes—
142#95×C131C2314yes—
143#95×C131C2314yes—
144#95×C131C2314yes—
145#95×C131C2314yes—
146#95×C131C2314yes—
147#95×C131C2314yes—
148#95×C131C2314yes—
149#95×C131C2314yes—
150#95×C131C2314yes—
151#95×C131C2314yes—
152#95×C131C2312yes—
153#95×C131C2312yes—
154#95×C131C2312yes—
155#95×C131C2312yes—
156#95×C131C2312yes—
157#95×C131C2312yes—
158C2×Q8×C131—22no—
159C2×Q8×C131—22no—
160C2×Q8×C131—22no—
161C2×Q8×C131—22no—
162C2×Q8×C131—24no—
163C2×Q8×C131—24no—
164C2×Q8×C131—24no—
165C2×Q8×C131C2×Q814yes—
166C2×Q8×C131#4114yes—
167C22×C4×C131C2412yes—
168C22×C4×C131C2411yescharacteristic
169C22×C4×C131C2412yes—
170C22×C4×C131C2412yes—
171C22×C4×C131C2414yes—
172C22×C4×C131C2412yes—
173C22×C4×C131C2414yes—
174C22×C4×C131C2412yes—
175C22×C4×C131C2411yescharacteristic
176C22×C4×C131C2412yes—
177C22×C4×C131C2412yes—
178C22×C4×C131C2411yescharacteristic
179C22×C4×C131C2412yes—
180C22×C4×C131C2411yescharacteristic
181C22×C4×C131C2411yescharacteristic
182C22×C4×C131C2411yescharacteristic
183C22×C4×C131C2411yescharacteristic
184C4⋊C4×C131—24no—
185C4⋊C4×C131—24no—
186C4⋊C4×C131—24no—
187C4⋊C4×C131—24no—
188C4⋊C4×C131—24no—
189C4⋊C4×C131—22no—
190C4⋊C4×C131—22no—
191C4⋊C4×C131—24no—
192C4⋊C4×C131—22no—
193C4⋊C4×C131—22no—
194C4⋊C4×C131—28no—
195C4⋊C4×C131—28no—
196C4⋊C4×C131—28no—
197C4⋊C4×C131—24no—
198C4⋊C4×C131—28no—
199C4⋊C4×C131—28no—
200C4⋊C4×C131—24no—
201C4⋊C4×C131—24no—
202C4⋊C4×C131—44no—
203C4⋊C4×C131—42no—
204C4⋊C4×C131—44no—
205C4⋊C4×C131C2×Q818yes—
206C4⋊C4×C131C2×Q814yes—
207C4⋊C4×C131#4114yes—
208C42×C131—24no—
209C42×C131—24no—
210C42×C131—22no—
211C42×C131—22no—
212C42×C131—24no—
213C42×C131—24no—
214C42×C131—24no—
215C42×C131—28no—
216C42×C131—24no—
217C42×C131—24no—
218C42×C131—22no—
219C42×C131—24no—
220C42×C131—24no—
221C42×C131—41no—
222C42×C131—42no—
223C42×C131—42no—
224C42×C131C2×Q818yes—
225C42×C131C2×Q814yes—
226C42×C131#4114yes—
227C42×C131#4114yes—
228C23×C131C2511yescharacteristic
229Q8×C131—28no—
230Q8×C131—28no—
231Q8×C131—48no—
232C2×C4×C131—21no—
233C2×C4×C131—21no—
234C2×C4×C131—22no—
235C2×C4×C131—22no—
236C2×C4×C131—22no—
237C2×C4×C131—22no—
238C2×C4×C131—22no—
239C2×C4×C131—22no—
240C2×C4×C131—21no—
241C2×C4×C131—22no—
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—24no—
250C2×C4×C131—22no—
251C2×C4×C131—22no—
252C2×C4×C131—21no—
253C2×C4×C131—21no—
254C2×C4×C131—22no—
255C2×C4×C131—24no—
256C2×C4×C131—24no—
257C2×C4×C131—24no—
258C2×C4×C131—24no—
259C2×C4×C131—22no—
260C2×C4×C131—22no—
261C2×C4×C131—21no—
262C2×C4×C131—22no—
263C2×C4×C131—22no—
264C2×C4×C131—22no—
265C2×C4×C131—22no—
266C2×C4×C131—24no—
267C2×C4×C131C22×Q812yes—
268C2×C4×C131C22×Q814yes—
269C2×C4×C131C22×Q814yes—
270C2×C4×C131C22×Q812yes—
271C2×C4×C131C22×Q812yes—
272C2×C4×C131C2×#4114yes—
273C2×C4×C131C2×#4114yes—
274C2×C4×C131C2×#4112yes—
275C2×C4×C131C2×#4112yes—
276C2×C4×C131C2×#4112yes—
277C2×C4×C131C2×#4112yes—
278C2×C4×C131C2×#4112yes—
279C2×C4×C131C2×#4112yes—
280C2×C4×C131C2×#4112yes—
281C2×C4×C131C2×#4112yes—
282C2×C4×C1312−1+412yes—
283C22×C131C23×Q811yescharacteristic
284C22×C131C22×#4111yescharacteristic
285C22×C131C22×#4111yescharacteristic
286C22×C131C22×#4111yescharacteristic
287C22×C131C22×#4111yescharacteristic
288C22×C131C2×2−1+411yescharacteristic
289C22×C131#58511yescharacteristic
290C4×C131—24no—
291C4×C131—24no—
292C4×C131—22no—
293C4×C131—22no—
294C4×C131—24no—
295C4×C131—22no—
296C4×C131—24no—
297C4×C131—44no—
298C4×C131—42no—
299C4×C131—42no—
300C4×C131—42no—
301C4×C131—44no—
302C4×C131—41no—
303C4×C131—42no—
304C4×C131#52914yes—
305C4×C131#53314yes—
306C4×C131#55714yes—
307C2×C131C2×#52911yescharacteristic
308C2×C131C2×#53311yescharacteristic
309C2×C131#346111yescharacteristic
310C2×C131C2×#55711yescharacteristic
311C2×C131Q8×#4111yescharacteristic
312C2×C131#348011yescharacteristic
313C2×C131#348211yescharacteristic
314#34951C13111yesmaximal, characteristic, direct product factor, Sylow
315C131#3495111yescharacteristic, direct product factor, Sylow
316#2585C2×C13114yes—
317#2582C2×C13111yescharacteristic
318#2568C2×C13111yescharacteristic
319#2552C2×C13111yescharacteristic
320#2546C2×C13111yescharacteristic
321#2511C2×C13112yes—
322#2509C2×C13112yes—
323#2453C2×C13112yes—
324#2446C2×C13112yes—
325#2402C2×C13114yes—
326C4×C4⋊Q8C2×C13112yes—
327C4×C4⋊Q8C2×C13111yescharacteristic
328C4×#125C2×C13112yes—
329#2295C2×C13112yes—
330#2295C2×C13112yes—
331C42×Q8C2×C13111yescharacteristic
332C42×Q8C2×C13111yescharacteristic
333C2×C4⋊Q8C22×C13111yescharacteristic
334C2×C4⋊Q8C22×C13112yes—
335C2×#125C22×C13112yes—
336C2×C4×Q8C22×C13111yescharacteristic
337C2×C4×Q8C22×C13112yes—
338C2×C4×Q8C22×C13111yescharacteristic
339C2×C4×Q8C22×C13111yescharacteristic
340C2×C4×Q8C22×C13111yescharacteristic
341C2×C4×Q8C22×C13111yescharacteristic
342C2×C4×Q8C22×C13111yescharacteristic
343#400C22×C13114yes—
344#400C22×C13114yes—
345#400C22×C13114yes—
346#400C22×C13114yes—
347#398C22×C13114yes—
348#398C22×C13114yes—
349#398C22×C13114yes—
350#398C22×C13114yes—
351#391C22×C13112yes—
352#391C22×C13112yes—
353#391C22×C13112yes—
354#391C22×C13112yes—
355#391C22×C13112yes—
356#391C22×C13112yes—
357#391C22×C13112yes—
358#389C22×C13112yes—
359#389C22×C13112yes—
360#389C22×C13112yes—
361#389C22×C13114yes—
362#389C22×C13114yes—
363#389C22×C13112yes—
364#389C22×C13112yes—
365#389C22×C13112yes—
366#389C22×C13112yes—
367#389C22×C13112yes—
368#387C22×C13114yes—
369#387C22×C13114yes—
370#387C22×C13114yes—
371#387C22×C13114yes—
372#387C22×C13114yes—
373#387C22×C13114yes—
374#384C22×C13111yescharacteristic
375#384C22×C13112yes—
376#382C22×C13112yes—
377C4×C4⋊C4C22×C13111yescharacteristic
378C4×C4⋊C4C22×C13114yes—
379C4×C4⋊C4C22×C13112yes—
380C4×C4⋊C4C22×C13114yes—
381C4×C4⋊C4C22×C13112yes—
382C4×C4⋊C4C22×C13114yes—
383C4×C4⋊C4C22×C13111yescharacteristic
384C4×C4⋊C4C22×C13112yes—
385C4×C4⋊C4C22×C13112yes—
386C4×C4⋊C4C22×C13112yes—
387C4×C4⋊C4C22×C13112yes—
388C4×C4⋊C4C22×C13112yes—
389C4×C4⋊C4C22×C13112yes—
390C4×C4⋊C4C22×C13111yescharacteristic
391C4×C4⋊C4C22×C13111yescharacteristic
392C4×C4⋊C4C22×C13111yescharacteristic
393C4×C4⋊C4C22×C13111yescharacteristic
394#376C22×C13114yes—
395C43C22×C13112yes—
396C43C22×C13111yescharacteristic
397C43C22×C13112yes—
398C22×Q8C23×C13112yes—
399C22×Q8C23×C13111yescharacteristic
400C22×Q8C23×C13111yescharacteristic
401C4⋊Q8—28no—
402C4⋊Q8—24no—
403#125—28no—
404C4×Q8—24no—
405C4×Q8—24no—
406C4×Q8—24no—
407C4×Q8—28no—
408C4×Q8—24no—
409C4×Q8—24no—
410C4×Q8Q8×C13118yescomplemented
411C2×C4⋊C4C23×C13111yescharacteristic
412C2×C4⋊C4C23×C13111yescharacteristic
413C2×C4⋊C4C23×C13112yes—
414C2×C4⋊C4C23×C13111yescharacteristic
415C2×C4⋊C4C23×C13111yescharacteristic
416C2×C4⋊C4C23×C13112yes—
417C2×C4⋊C4C23×C13112yes—
418C2×C4⋊C4C23×C13112yes—
419C2×C4⋊C4C23×C13112yes—
420C2×C4⋊C4C23×C13112yes—
421C2×C4⋊C4C23×C13114yes—
422C2×C4⋊C4C23×C13114yes—
423C2×C4⋊C4C23×C13112yes—
424C2×C4⋊C4C23×C13114yes—
425C2×C4⋊C4C23×C13112yes—
426C2×C4⋊C4C23×C13114yes—
427C2×C4⋊C4C23×C13114yes—
428C2×C4⋊C4C23×C13112yes—
429C2×C4⋊C4C23×C13114yes—
430C2×C4⋊C4C23×C13112yes—
431C2×C4⋊C4C23×C13114yes—
432C2×C4⋊C4C23×C13112yes—
433C2×C4⋊C4C23×C13111yescharacteristic
434C2×C4⋊C4C23×C13111yescharacteristic
435C2×C42C23×C13112yes—
436C2×C42C23×C13111yescharacteristic
437C2×C42C23×C13111yescharacteristic
438C2×C42C23×C13112yes—
439C2×C42C23×C13112yes—
440C2×C42C23×C13112yes—
441C2×C42C23×C13112yes—
442C2×C42C23×C13114yes—
443C2×C42C23×C13112yes—
444C2×C42C23×C13112yes—
445C2×C42C23×C13112yes—
446C2×C42C23×C13111yescharacteristic
447C2×C42C23×C13112yes—
448C2×C42C23×C13111yescharacteristic
449C2×C42C23×C13112yes—
450C2×C42C23×C13112yes—
451C2×C42C23×C13111yescharacteristic
452C2×C42C23×C13112yes—
453C2×C42C23×C13111yescharacteristic
454C2×C42C23×C13111yescharacteristic
455#95C23×C13114yes—
456#95C23×C13114yes—
457#95C23×C13114yes—
458#95C23×C13114yes—
459#95C23×C13112yes—
460#95C23×C13112yes—
461#95C23×C13112yes—
462#95C23×C13112yes—
463#95C23×C13112yes—
464#95C23×C13112yes—
465#95C23×C13114yes—
466#95C23×C13114yes—
467#95C23×C13114yes—
468#95C23×C13114yes—
469#95C23×C13114yes—
470#95C23×C13114yes—
471#95C23×C13114yes—
472#95C23×C13114yes—
473C2×Q8—22no—
474C2×Q8—22no—
475C2×Q8—22no—
476C2×Q8—22no—
477C2×Q8—24no—
478C2×Q8—24no—
479C2×Q8—24no—
480C2×Q8C2×Q8×C13114yes—
481C2×Q8#41×C13114yes—
482C22×C4C24×C13112yes—
483C22×C4C24×C13111yescharacteristic
484C22×C4C24×C13112yes—
485C22×C4C24×C13112yes—
486C22×C4C24×C13114yes—
487C22×C4C24×C13112yes—
488C22×C4C24×C13114yes—
489C22×C4C24×C13112yes—
490C22×C4C24×C13111yescharacteristic
491C22×C4C24×C13112yes—
492C22×C4C24×C13112yes—
493C22×C4C24×C13111yescharacteristic
494C22×C4C24×C13112yes—
495C22×C4C24×C13111yescharacteristic
496C22×C4C24×C13111yescharacteristic
497C22×C4C24×C13111yescharacteristic
498C22×C4C24×C13111yescharacteristic
499C4⋊C4—24no—
500C4⋊C4—24no—
501C4⋊C4—24no—
502C4⋊C4—24no—
503C4⋊C4—24no—
504C4⋊C4—22no—
505C4⋊C4—22no—
506C4⋊C4—22no—
507C4⋊C4—24no—
508C4⋊C4—22no—
509C4⋊C4—28no—
510C4⋊C4—28no—
511C4⋊C4—28no—
512C4⋊C4—24no—
513C4⋊C4—28no—
514C4⋊C4—28no—
515C4⋊C4—24no—
516C4⋊C4—24no—
517C4⋊C4—44no—
518C4⋊C4—42no—
519C4⋊C4—44no—
520C4⋊C4C2×Q8×C13118yes—
521C4⋊C4C2×Q8×C13114yes—
522C4⋊C4#41×C13114yes—
523C42—24no—
524C42—24no—
525C42—22no—
526C42—22no—
527C42—24no—
528C42—24no—
529C42—24no—
530C42—28no—
531C42—24no—
532C42—24no—
533C42—22no—
534C42—24no—
535C42—24no—
536C42—41no—
537C42—42no—
538C42—42no—
539C42C2×Q8×C13118yes—
540C42C2×Q8×C13114yes—
541C42#41×C13114yes—
542C42#41×C13114yes—
543C23C25×C13111yescharacteristic
544Q8—28no—
545Q8—28no—
546Q8—48no—
547C2×C4—21no—
548C2×C4—21no—
549C2×C4—22no—
550C2×C4—22no—
551C2×C4—22no—
552C2×C4—22no—
553C2×C4—22no—
554C2×C4—22no—
555C2×C4—21no—
556C2×C4—22no—
557C2×C4—21no—
558C2×C4—21no—
559C2×C4—21no—
560C2×C4—22no—
561C2×C4—22no—
562C2×C4—22no—
563C2×C4—22no—
564C2×C4—24no—
565C2×C4—22no—
566C2×C4—22no—
567C2×C4—21no—
568C2×C4—21no—
569C2×C4—22no—
570C2×C4—24no—
571C2×C4—24no—
572C2×C4—24no—
573C2×C4—24no—
574C2×C4—22no—
575C2×C4—22no—
576C2×C4—21no—
577C2×C4—22no—
578C2×C4—22no—
579C2×C4—22no—
580C2×C4—22no—
581C2×C4—24no—
582C2×C4C22×Q8×C13112yes—
583C2×C4C22×Q8×C13114yes—
584C2×C4C22×Q8×C13114yes—
585C2×C4C22×Q8×C13112yes—
586C2×C4C22×Q8×C13112yes—
587C2×C4C2×#41×C13114yes—
588C2×C4C2×#41×C13114yes—
589C2×C4C2×#41×C13112yes—
590C2×C4C2×#41×C13112yes—
591C2×C4C2×#41×C13112yes—
592C2×C4C2×#41×C13112yes—
593C2×C4C2×#41×C13112yes—
594C2×C4C2×#41×C13112yes—
595C2×C4C2×#41×C13112yes—
596C2×C4C2×#41×C13112yes—
597C2×C42−1+4×C13112yes—
598C22C23×Q8×C13111yescharacteristic
599C22C22×#41×C13111yescharacteristic
600C22C22×#41×C13111yescharacteristic
601C22C22×#41×C13111yescharacteristic
602C22C22×#41×C13111yescharacteristic
603C22C2×2−1+4×C13111yescharacteristic
604C22#585×C13111yescharacteristic
605C4—24no—
606C4—24no—
607C4—22no—
608C4—22no—
609C4—24no—
610C4—22no—
611C4—24no—
612C4—44no—
613C4—42no—
614C4—42no—
615C4—42no—
616C4—44no—
617C4—41no—
618C4—42no—
619C4#529×C13114yes—
620C4#533×C13114yes—
621C4#557×C13114yes—
622C2C2×#529×C13111yescharacteristic
623C2C2×#533×C13111yescharacteristic
624C2#3461×C13111yescharacteristic
625C2C2×#557×C13111yescharacteristic
626C2Q8×#41×C13111yescharacteristic
627C2#3480×C13111yescharacteristic
628C2#3482×C13111yescharacteristic
subgroupG/H
centerC22×C4×C131C24
commutator, Frattini, cosocleC23C25×C131
socle, prime radicalC23×C131C25
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C22×C4×C131 ◁ G

Complements

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

NH ≅ G/Ntype
95. C4×Q8×C131Q8semidirect
314. #34951C131direct (N × H)
315. C131#34951direct (N × H)
410. C4×Q8Q8×C131semidirect

Maximal subgroups

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

subgroupindex
#2585×C1312
#2582×C1312
#2568×C1312
#2552×C1312
#2546×C1312
#2511×C1312
#2509×C1312
#2453×C1312
#2446×C1312
#2402×C1312
C4×C4⋊Q8×C1312
C4×#125×C1312
#2295×C1312
C42×Q8×C1312
#34951131