Finite Group Databasebeta

← #14775481

Subgroups — #14775481

Order 2816.

840 conjugacy classes of subgroups.

The subgroup lattice has 644 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10622637C211yesmaximal, characteristic, complemented
2C2×#10622537C211yesmaximal, characteristic
3#13069557C211yesmaximal, characteristic, complemented
4#13069340C211yesmaximal, characteristic, complemented
5#13069340C211yesmaximal, characteristic, complemented
6#13069335C211yesmaximal, characteristic, complemented
7#13069182C211yesmaximal, characteristic, complemented
8#13069175C211yesmaximal, characteristic, complemented
9#13068801C211yesmaximal, characteristic
10#13068801C211yesmaximal, characteristic
11#13068491C211yesmaximal, characteristic, complemented
12#13068400C211yesmaximal, characteristic
13#13068400C211yesmaximal, characteristic
14#13068378C211yesmaximal, characteristic
15C4×C11×C22⋊Q8C211yesmaximal, characteristic
16C2×C11×C22⋊Q8C411yescharacteristic
17C2×C4×Q8×C11C2211yescharacteristic
18C22×C42×C11C2211yescharacteristic
19C22×#4318C2211yescharacteristic
20C22×#4318C2211yescharacteristic
21C11×#391C411yescharacteristic
22C11×#389C411yescharacteristic
23C11×#387C411yescharacteristic
24C11×#387C411yescharacteristic
25C11×#385C411yescharacteristic
26C11×#385C411yescharacteristic
27C11×#380C411yescharacteristic
28C4×C11×C4⋊C4C2211yescharacteristic
29C4×C11×C4⋊C4C2211yescharacteristic
30C4×C11×C4⋊C4C2211yescharacteristic
31C4×C11×C22⋊C4C2211yescharacteristic
32C4×C11×C22⋊C4C2211yescharacteristic
33C2×C22⋊(C11⋊C8)C2211yescharacteristic
34C2×C22⋊(C11⋊C8)C2211yescharacteristic
35#10622637—24no—
36#10622537—24no—
37C2×C4⋊(C11⋊C8)C2211yescharacteristic
38C2×C4⋊(C11⋊C8)C2211yescharacteristic
39C2×C4⋊(C11⋊C8)C2211yescharacteristic
40C2×C4⋊(C11⋊C8)C2211yescharacteristic
41C2×C4⋊(C11⋊C8)C2211yescharacteristic
42C2×C4⋊(C11⋊C8)C2211yescharacteristic
43C2×C4⋊(C11⋊C8)C2211yescharacteristic
44C2×C4⋊(C11⋊C8)C2211yescharacteristic
45C2×#66867C2211yescharacteristic
46C2×#66867C2211yescharacteristic
47C2×#66867C2211yescharacteristic
48C2×#66867C2211yescharacteristic
49C2×C4×C11⋊C8C2211yescharacteristic
50C2×C4×C11⋊C8C2211yescharacteristic
51#10622162C2211yescharacteristic
52#10622162C2211yescharacteristic
53#10622162C2211yescharacteristic
54#10622162C2211yescharacteristic
55#10622162C2211yescharacteristic
56#10622162C2211yescharacteristic
57#10622162C2211yescharacteristic
58#10622162C2211yescharacteristic
59#10622162C2211yescharacteristic
60#10622162C2211yescharacteristic
61C22×Q8×C11C2×C411yescharacteristic
62C23×C4×C11C2×C411yescharacteristic
63C23×C4×C11C2×C411yescharacteristic
64C23×C4×C11C2311yescharacteristic
65C11×C22⋊Q8—24no—
66C4×Q8×C11—22no—
67C4×Q8×C11—22no—
68C2×C11×C4⋊C4C2×C411yescharacteristic
69C2×C11×C4⋊C4C2×C411yescharacteristic
70C2×C11×C4⋊C4C2×C411yescharacteristic
71C2×C11×C4⋊C4C2×C411yescharacteristic
72C2×C11×C4⋊C4C2×C411yescharacteristic
73C2×C11×C4⋊C4C2×C411yescharacteristic
74C2×C11×C4⋊C4C2×C411yescharacteristic
75C2×C11×C4⋊C4C2×C411yescharacteristic
76C2×C11×C4⋊C4C2×C411yescharacteristic
77C2×C11×C22⋊C4C2×C411yescharacteristic
78C2×C11×C22⋊C4C2×C411yescharacteristic
79C2×C11×C22⋊C4C2×C411yescharacteristic
80C2×C11×C22⋊C4C2×C411yescharacteristic
81C2×C42×C11—22no—
82C2×C42×C11—22no—
83C2×C42×C11C2×C411yescharacteristic
84C2×C42×C11C2×C411yescharacteristic
85C2×C42×C11C2311yescharacteristic
86C2×C42×C11C2311yescharacteristic
87C2×C42×C11C2311yescharacteristic
88C2×C42×C11C2311yescharacteristic
89C2×C42×C11C2311yescharacteristic
90C2×C42×C11C2311yescharacteristic
91C2×#4318—22no—
92C2×#4318—22no—
93C2×#4318—22no—
94C2×#4318—22no—
95C2×#4318—41no—
96C2×#4318—41no—
97C22×C11⋊C8C2311yescharacteristic
98C22×C11⋊C8C2311yescharacteristic
99C22×C11⋊C8C2311yescharacteristic
100C22×C11⋊C8C2311yescharacteristic
101C22×C11⋊C8C2311yescharacteristic
102C22×C11⋊C8C2311yescharacteristic
103C22×C11⋊C8C2311yescharacteristic
104C22×C11⋊C8C2311yescharacteristic
105C11×#95C2×C411yescharacteristic
106C11×#95C2×C411yescharacteristic
107C11×#95C2×C411yescharacteristic
108C11×#95C2×C411yescharacteristic
109C11×#95C2×C411yescharacteristic
110C11×#95C2×C411yescharacteristic
111C11×#95C2×C411yescharacteristic
112C11×#95C2×C411yescharacteristic
113C11×#95C2×C411yescharacteristic
114C11×#95C2×C411yescharacteristic
115C22⋊(C11⋊C8)—22no—
116C22⋊(C11⋊C8)Q814yescomplemented
117C4⋊(C11⋊C8)—22no—
118C4⋊(C11⋊C8)—22no—
119C4⋊(C11⋊C8)—22no—
120C4⋊(C11⋊C8)—22no—
121C4⋊(C11⋊C8)—22no—
122C4⋊(C11⋊C8)—41no—
123C4⋊(C11⋊C8)—41no—
124C4⋊(C11⋊C8)D414yes—
125#66867—22no—
126#66867—22no—
127#66867—22no—
128#66867—41no—
129C4×C11⋊C8—22no—
130C4×C11⋊C8—41no—
131#22955—111nomaximal, Sylow
132C24×C11C22×C411yescharacteristic
133C2×Q8×C11—22no—
134C2×Q8×C11—22no—
135C2×Q8×C11—41no—
136C22×C4×C11—21no—
137C22×C4×C11—21no—
138C22×C4×C11—21no—
139C22×C4×C11—21no—
140C22×C4×C11—22no—
141C22×C4×C11—22no—
142C22×C4×C11—22no—
143C22×C4×C11—41no—
144C22×C4×C11—41no—
145C22×C4×C11—41no—
146C22×C4×C11C22×C411yescharacteristic
147C22×C4×C11C22×C411yescharacteristic
148C22×C4×C11C22×C411yescharacteristic
149C22×C4×C11C22×C411yescharacteristic
150C22×C4×C11C22×C411yescharacteristic
151C22×C4×C11C22×C411yescharacteristic
152C22×C4×C11C22×C411yescharacteristic
153C22×C4×C11C22×C411yescharacteristic
154C22×C4×C11C22×C411yescharacteristic
155C22×C4×C11C22×C411yescharacteristic
156C22×C4×C11C22×C411yescharacteristic
157C22×C4×C11C22×C411yescharacteristic
158C22×C4×C11C22×C411yescharacteristic
159C22×C4×C11C2×Q812yes—
160C22×C4×C11#4112yes—
161C22×C4×C11C2411yescharacteristic
162C11×C4⋊C4—22no—
163C11×C4⋊C4—22no—
164C11×C4⋊C4—22no—
165C11×C4⋊C4—22no—
166C11×C4⋊C4—22no—
167C11×C4⋊C4—41no—
168C11×C4⋊C4—41no—
169C11×C4⋊C4—41no—
170C11×C4⋊C4M1614yescomplemented
171C11×C22⋊C4—22no—
172C11×C22⋊C4—22no—
173C11×C22⋊C4—41no—
174C11×C22⋊C4—41no—
175C42×C11—22no—
176C42×C11—22no—
177C42×C11—21no—
178C42×C11—21no—
179C42×C11—21no—
180C42×C11—21no—
181C42×C11—21no—
182C42×C11—21no—
183C42×C11—21no—
184C42×C11—21no—
185C42×C11—21no—
186C42×C11—21no—
187C42×C11C2×D412yes—
188C42×C11#4112yes—
189#4318—44no—
190#4318—44no—
191C2×C11⋊C8—21no—
192C2×C11⋊C8—21no—
193C2×C11⋊C8—21no—
194C2×C11⋊C8—21no—
195C2×C11⋊C8—21no—
196C2×C11⋊C8—21no—
197C2×C11⋊C8—21no—
198C2×C11⋊C8—21no—
199C2×C11⋊C8—21no—
200C2×C11⋊C8—21no—
201C2×C11⋊C8—21no—
202C2×C11⋊C8—21no—
203C2×C11⋊C8—21no—
204C2×C11⋊C8—21no—
205C2×C11⋊C8—21no—
206C2×C11⋊C8—21no—
207C2×C11⋊C8—21no—
208C2×C11⋊C8—21no—
209C2×C11⋊C8—21no—
210C2×C11⋊C8—21no—
211C2×C11⋊C8C2×D412yes—
212C2×C11⋊C8C2×D412yes—
213C2×C11⋊C8C2×Q812yes—
214C2×C11⋊C8C2×Q812yes—
215C2×#446—111no—
216C2×#423—111no—
217C4×C22⋊Q8D1111yescharacteristic
218#1985—111no—
219#1940—111no—
220#1940—111no—
221#1939—111no—
222#1917—111no—
223#1916—111no—
224#1851—111no—
225#1851—111no—
226#1771—111no—
227#1753—111no—
228#1753—111no—
229#1749—111no—
230C23×C11—21no—
231C23×C11—21no—
232C23×C11—21no—
233C23×C11—21no—
234C23×C11—21no—
235C23×C11—21no—
236C23×C11C4×Q812yes—
237C23×C11C23×C411yescharacteristic
238Q8×C11—44no—
239C2×C4×C11—21no—
240C2×C4×C11—21no—
241C2×C4×C11—21no—
242C2×C4×C11—21no—
243C2×C4×C11—21no—
244C2×C4×C11—21no—
245C2×C4×C11—21no—
246C2×C4×C11—21no—
247C2×C4×C11—21no—
248C2×C4×C11—21no—
249C2×C4×C11—21no—
250C2×C4×C11—21no—
251C2×C4×C11—22no—
252C2×C4×C11—22no—
253C2×C4×C11—22no—
254C2×C4×C11—22no—
255C2×C4×C11—21no—
256C2×C4×C11—21no—
257C2×C4×C11—21no—
258C2×C4×C11—21no—
259C2×C4×C11—21no—
260C2×C4×C11—21no—
261C2×C4×C11—21no—
262C2×C4×C11—21no—
263C2×C4×C11—21no—
264C2×C4×C11—21no—
265C2×C4×C11—21no—
266C2×C4×C11—21no—
267C2×C4×C11—21no—
268C2×C4×C11—21no—
269C2×C4×C11—21no—
270C2×C4×C11—21no—
271C2×C4×C11—21no—
272C2×C4×C11—21no—
273C2×C4×C11—21no—
274C2×C4×C11—21no—
275C2×C4×C11—21no—
276C2×C4×C11—44no—
277C2×C4×C11—44no—
278C2×C4×C11C4×D412yes—
279C2×C4×C11C4×D412yes—
280C2×C4×C11C4×Q812yes—
281C2×C4×C11C2×M1612yes—
282C2×C4×C11C2×M1612yes—
283C2×C4×C11C2×M1612yes—
284C2×C4×C11C22×D411yescharacteristic
285C2×C4×C11C22×Q811yescharacteristic
286C2×C4×C11C2×#4111yescharacteristic
287C2×C4×C11C2×#4111yescharacteristic
288C2×C4×C11H(5,𝔽2)11yescharacteristic
289C2×C4×C112−1+411yescharacteristic
290C11⋊C8—22no—
291C11⋊C8—22no—
292C11⋊C8—22no—
293C11⋊C8—22no—
294C11⋊C8—41no—
295C11⋊C8—41no—
296C11⋊C8—41no—
297C11⋊C8—41no—
298C22×M16—111no—
299C22×M16—111no—
300C2×C22⋊Q8Dic1111yescharacteristic
301C2×C4×Q8C2×D1111yescharacteristic
302C22×C42C2×D1111yescharacteristic
303#446—224no—
304#423—224no—
305C2×C4⋊C8—111no—
306C2×C4⋊C8—111no—
307C2×C4⋊C8—111no—
308C2×C4⋊C8—111no—
309C2×C4⋊C8—111no—
310C2×C4⋊C8—111no—
311C2×C4⋊C8—111no—
312C2×C4⋊C8—111no—
313C2×C22⋊C8—111no—
314C2×C22⋊C8—111no—
315C2×#97—111no—
316C2×#97—111no—
317C2×#97—111no—
318C2×#97—111no—
319C2×C4×C8—111no—
320C2×C4×C8—111no—
321#391Dic1111yescharacteristic
322#389Dic1111yescharacteristic
323#387Dic1111yescharacteristic
324#387Dic1111yescharacteristic
325#385Dic1111yescharacteristic
326#385Dic1111yescharacteristic
327#380Dic1111yescharacteristic
328C4×C4⋊C4C2×D1111yescharacteristic
329C4×C4⋊C4C2×D1111yescharacteristic
330C4×C4⋊C4C2×D1111yescharacteristic
331C4×C22⋊C4C2×D1111yescharacteristic
332C4×C22⋊C4C2×D1111yescharacteristic
333#336—111no—
334#336—111no—
335#336—111no—
336#336—111no—
337#336—111no—
338#336—111no—
339#336—111no—
340#336—111no—
341#336—111no—
342#336—111no—
343C22×C11—22no—
344C22×C11—22no—
345C22×C11—22no—
346C22×C11—41no—
347C22×C11—41no—
348C22×C11—41no—
349C22×C11—41no—
350C22×C11C2×C4×D411yescharacteristic
351C22×C11C2×C4×Q811yescharacteristic
352C22×C11#52011yescharacteristic
353C22×C11C22×M1611yescharacteristic
354C22×C11#56811yescharacteristic
355C22×C11#56811yescharacteristic
356C22×C11#56811yescharacteristic
357C4×C11—22no—
358C4×C11—22no—
359C4×C11—22no—
360C4×C11—22no—
361C4×C11—22no—
362C4×C11—22no—
363C4×C11—41no—
364C4×C11—41no—
365C4×C11—41no—
366C4×C11—41no—
367C4×C11—41no—
368C4×C11—41no—
369C4×C11—41no—
370C4×C11#54611yescharacteristic
371C4×C11D4×Q811yescharacteristic
372C4×C11#55211yescharacteristic
373C4×C11#55411yescharacteristic
374C22×Q8C2×Dic1111yescharacteristic
375C23×C4C2×Dic1111yescharacteristic
376C23×C4C2×Dic1111yescharacteristic
377C23×C4C22×D1111yescharacteristic
378C2×M16—222no—
379C2×M16—222no—
380C2×M16—222no—
381C2×M16—222no—
382C2×M16—441no—
383C2×M16—441no—
384C22×C8—111no—
385C22×C8—111no—
386C22×C8—111no—
387C22×C8—111no—
388C22×C8—111no—
389C22×C8—111no—
390C22×C8—111no—
391C22×C8—111no—
392C22⋊Q8—24no—
393C4×Q8—22no—
394C4×Q8—22no—
395C2×C4⋊C4C2×Dic1111yescharacteristic
396C2×C4⋊C4C2×Dic1111yescharacteristic
397C2×C4⋊C4C2×Dic1111yescharacteristic
398C2×C4⋊C4C2×Dic1111yescharacteristic
399C2×C4⋊C4C2×Dic1111yescharacteristic
400C2×C4⋊C4C2×Dic1111yescharacteristic
401C2×C4⋊C4C2×Dic1111yescharacteristic
402C2×C4⋊C4C2×Dic1111yescharacteristic
403C2×C4⋊C4C2×Dic1111yescharacteristic
404C2×C22⋊C4C2×Dic1111yescharacteristic
405C2×C22⋊C4C2×Dic1111yescharacteristic
406C2×C22⋊C4C2×Dic1111yescharacteristic
407C2×C22⋊C4C2×Dic1111yescharacteristic
408C2×C42—22no—
409C2×C42—22no—
410C2×C42C2×Dic1111yescharacteristic
411C2×C42C2×Dic1111yescharacteristic
412C2×C42C22×D1111yescharacteristic
413C2×C42C22×D1111yescharacteristic
414C2×C42C22×D1111yescharacteristic
415C2×C42C22×D1111yescharacteristic
416C2×C42C22×D1111yescharacteristic
417C2×C42C22×D1111yescharacteristic
418C4⋊C8—114no—
419C4⋊C8—222no—
420C4⋊C8—222no—
421C4⋊C8—222no—
422C4⋊C8—222no—
423C4⋊C8—222no—
424C4⋊C8—441no—
425C4⋊C8—441no—
426C22⋊C8—114no—
427C22⋊C8—222no—
428#97—222no—
429#97—222no—
430#97—222no—
431#97—441no—
432C4×C8—222no—
433C4×C8—441no—
434#95C2×Dic1111yescharacteristic
435#95C2×Dic1111yescharacteristic
436#95C2×Dic1111yescharacteristic
437#95C2×Dic1111yescharacteristic
438#95C2×Dic1111yescharacteristic
439#95C2×Dic1111yescharacteristic
440#95C2×Dic1111yescharacteristic
441#95C2×Dic1111yescharacteristic
442#95C2×Dic1111yescharacteristic
443#95C2×Dic1111yescharacteristic
444C2×C11—42no—
445C2×C11#236011yescharacteristic
446C2×C11#293011yescharacteristic
447C2×C11D4×M1611yescharacteristic
448C2×C11#296111yescharacteristic
449C2×C11Q8×M1611yescharacteristic
450C2×C11#298911yescharacteristic
451C2×C11#299511yescharacteristic
452C24C22×Dic1111yescharacteristic
453C2×Q8—22no—
454C2×Q8—22no—
455C2×Q8—41no—
456C22×C4—21no—
457C22×C4—21no—
458C22×C4—21no—
459C22×C4—21no—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—41no—
464C22×C4—41no—
465C22×C4—41no—
466C22×C4Q8×D1112yes—
467C22×C4#434312yes—
468C22×C4C22×Dic1111yescharacteristic
469C22×C4C22×Dic1111yescharacteristic
470C22×C4C22×Dic1111yescharacteristic
471C22×C4C22×Dic1111yescharacteristic
472C22×C4C22×Dic1111yescharacteristic
473C22×C4C22×Dic1111yescharacteristic
474C22×C4C22×Dic1111yescharacteristic
475C22×C4C22×Dic1111yescharacteristic
476C22×C4C22×Dic1111yescharacteristic
477C22×C4C22×Dic1111yescharacteristic
478C22×C4C22×Dic1111yescharacteristic
479C22×C4C22×Dic1111yescharacteristic
480C22×C4C22×Dic1111yescharacteristic
481C22×C4C23×D1111yescharacteristic
482M16—444no—
483M16—444no—
484C2×C8—112no—
485C2×C8—112no—
486C2×C8—112no—
487C2×C8—112no—
488C2×C8—221no—
489C2×C8—221no—
490C2×C8—221no—
491C2×C8—221no—
492C2×C8—221no—
493C2×C8—221no—
494C2×C8—221no—
495C2×C8—221no—
496C2×C8—221no—
497C2×C8—221no—
498C2×C8—221no—
499C2×C8—221no—
500C2×C8—221no—
501C2×C8—221no—
502C2×C8—221no—
503C2×C8—221no—
504C2×C8—221no—
505C2×C8—221no—
506C2×C8—221no—
507C2×C8—221no—
508C4⋊C4—22no—
509C4⋊C4—22no—
510C4⋊C4—22no—
511C4⋊C4—22no—
512C4⋊C4—22no—
513C4⋊C4—41no—
514C4⋊C4—41no—
515C4⋊C4—41no—
516C4⋊C4#431814yescomplemented
517C22⋊C4—22no—
518C22⋊C4—22no—
519C22⋊C4—41no—
520C22⋊C4—41no—
521C42—22no—
522C42—22no—
523C42—21no—
524C42—21no—
525C42—21no—
526C42—21no—
527C42—21no—
528C42—21no—
529C42—21no—
530C42—21no—
531C42—21no—
532C42—21no—
533C42D4×D1112yes—
534C42#434112yes—
535C11#2295511yescharacteristic, complemented, Sylow
536C23—21no—
537C23—21no—
538C23—21no—
539C23—21no—
540C23—21no—
541C23—21no—
542C23Q8×Dic1112yes—
543C23C23×Dic1111yescharacteristic
544Q8—44no—
545C2×C4—21no—
546C2×C4—21no—
547C2×C4—21no—
548C2×C4—21no—
549C2×C4—21no—
550C2×C4—21no—
551C2×C4—21no—
552C2×C4—21no—
553C2×C4—21no—
554C2×C4—21no—
555C2×C4—21no—
556C2×C4—21no—
557C2×C4—22no—
558C2×C4—22no—
559C2×C4—22no—
560C2×C4—22no—
561C2×C4—21no—
562C2×C4—21no—
563C2×C4—21no—
564C2×C4—21no—
565C2×C4—21no—
566C2×C4—21no—
567C2×C4—21no—
568C2×C4—21no—
569C2×C4—21no—
570C2×C4—21no—
571C2×C4—21no—
572C2×C4—21no—
573C2×C4—21no—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—44no—
583C2×C4—44no—
584C2×C4C2×#431812yes—
585C2×C4C2×#431812yes—
586C2×C4C2×#431812yes—
587C2×C4D4×Dic1112yes—
588C2×C4D4×Dic1112yes—
589C2×C4Q8×Dic1112yes—
590C2×C4C2×D4×D1111yescharacteristic
591C2×C4C2×#434111yescharacteristic
592C2×C4C2×Q8×D1111yescharacteristic
593C2×C4C2×#434311yescharacteristic
594C2×C4#6704211yescharacteristic
595C2×C4#6704311yescharacteristic
596C8—222no—
597C8—222no—
598C8—222no—
599C8—222no—
600C8—441no—
601C8—441no—
602C8—441no—
603C8—441no—
604C22—22no—
605C22—22no—
606C22—22no—
607C22—41no—
608C22—41no—
609C22—41no—
610C22—41no—
611C22C22×#431811yescharacteristic
612C22C2×D4×Dic1111yescharacteristic
613C22C2×Q8×Dic1111yescharacteristic
614C22#1062335011yescharacteristic
615C22#1062335011yescharacteristic
616C22#1062335011yescharacteristic
617C22#1062335811yescharacteristic
618C4—22no—
619C4—22no—
620C4—22no—
621C4—22no—
622C4—22no—
623C4—22no—
624C4—41no—
625C4—41no—
626C4—41no—
627C4—41no—
628C4—41no—
629C4—41no—
630C4—41no—
631C4#1062316111yescharacteristic
632C4#1062316311yescharacteristic
633C4#1062316611yescharacteristic
634C4#1062317311yescharacteristic
635C2—42no—
636C2#1307162511yescharacteristic
637C2#1307732011yescharacteristic
638C2D4×#431811yescharacteristic
639C2#1307755711yescharacteristic
640C2Q8×#431811yescharacteristic
641C2#1307773311yescharacteristic
642C2#1307778611yescharacteristic
subgroupG/H
center, FrattiniC22×C4C23×D11
commutator, socleC23×C11C23×C4
FittingC4×C11×C22⋊Q8C2
prime radicalC24×C11C22×C4
cosocleC22×C4×C11C24
hypercenterC4×C22⋊Q8D11
hypocenterC11#22955
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C22×C4 ◁ C4×C22⋊Q8

Complements

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

NH ≅ G/Ntype
1. C2×#10622637C2semidirect
3. #13069557C2semidirect
4. #13069340C2semidirect
5. #13069340C2semidirect
6. #13069335C2semidirect
7. #13069182C2semidirect
8. #13069175C2semidirect
11. #13068491C2semidirect
116. C22⋊(C11⋊C8)Q8semidirect
170. C11×C4⋊C4M16semidirect
516. C4⋊C4#4318semidirect
535. C11#22955semidirect

Maximal subgroups

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

subgroupindex
C2×#106226372
C2×#106225372
#130695572
#130693402
#130693352
#130691822
#130691752
#130688012
#130684912
#130684002
#130683782
C4×C11×C22⋊Q82
#2295511