Finite Group Databasebeta

← #29698075

Subgroups — #29698075

Order 15616.

980 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16839841C211yesmaximal, characteristic
2C2×#16839835C211yesmaximal, characteristic
3C2×#16839787C211yesmaximal, characteristic, complemented
4C2×#16839784C211yesmaximal, characteristic, complemented
5#21448263C211yesmaximal, characteristic
6#21446542C211yesmaximal, characteristic, complemented
7#21446537C211yesmaximal, characteristic, complemented
8#21446003C211yesmaximal, characteristic, complemented
9#21446003C211yesmaximal, characteristic, complemented
10#21446003C211yesmaximal, characteristic, complemented
11#21445998C211yesmaximal, characteristic, complemented
12#21445973C211yesmaximal, characteristic, complemented
13#21445800C211yesmaximal, characteristic, complemented
14#21445796C211yesmaximal, characteristic, complemented
15C61×#1768C211yesmaximal, characteristic, complemented
16C22×#11758189C2211yescharacteristic
17C22×#11758189C2211yescharacteristic
18C22×#11758189C2211yescharacteristic
19C22×C8×D61C2211yescharacteristic
20C2×C4×D244C2211yescharacteristic
21C2×#14519734C2211yescharacteristic
22C2×C42×D61C2211yescharacteristic
23#16839841—24no—
24#16839835—24no—
25#16839787—24no—
26#16839784—24no—
27C2×C4⋊#92418C2211yescharacteristic
28C2×C4⋊#92418C2211yescharacteristic
29C2×C4⋊#92418C2211yescharacteristic
30C2×C4⋊#92418C2211yescharacteristic
31C2×C4⋊#92418C2211yescharacteristic
32C2×C4⋊#92418C2211yescharacteristic
33C2×#14519706C2211yescharacteristic
34C2×#14519706C2211yescharacteristic
35C2×#14519706C2211yescharacteristic
36C2×#14519706C2211yescharacteristic
37C2×#14519689C2211yescharacteristic
38C2×#14519689C2211yescharacteristic
39C2×#14519689C2211yescharacteristic
40C2×#14519689C2211yescharacteristic
41#16839654C411yescharacteristic
42#16839654C411yescharacteristic
43#16839647C411yescharacteristic
44#16839647C411yescharacteristic
45#16839640C411yescharacteristic
46#16839640C411yescharacteristic
47#16839636C411yescharacteristic
48#16839636C411yescharacteristic
49C4×C4⋊Dic61C2211yescharacteristic
50C4×#11758198C2211yescharacteristic
51C4×#11758198C2211yescharacteristic
52#16839516C2211yescharacteristic
53#16839516C2211yescharacteristic
54#16839516C2211yescharacteristic
55#16839516C2211yescharacteristic
56C2×C4⋊C8×C61C2211yescharacteristic
57C2×C4⋊C8×C61C2211yescharacteristic
58C2×#97×C61C2211yescharacteristic
59C2×C4×C8×C61C2211yescharacteristic
60C61×#376C2211yescharacteristic
61C61×#336C2211yescharacteristic
62C61×#336C2211yescharacteristic
63C22×D244C2×C411yescharacteristic
64C22×C4×D61C2×C411yescharacteristic
65C22×C4×D61C2×C411yescharacteristic
66C22×C4×D61C2311yescharacteristic
67C22×C4×D61C2311yescharacteristic
68C2×#11758189—22no—
69C2×#11758189—22no—
70C2×#11758189—22no—
71C2×#11758189—22no—
72C2×#11758189—22no—
73C2×#11758189—22no—
74C2×#11758189—41no—
75C2×#11758189—41no—
76C2×#11758189—41no—
77C22×#92418C2311yescharacteristic
78C22×#92418C2311yescharacteristic
79C22×#92418C2311yescharacteristic
80C22×#92418C2311yescharacteristic
81C2×C8×D61—22no—
82C2×C8×D61—22no—
83C2×C8×D61—41no—
84C4×D244D414yes—
85C4×D244Q814yes—
86#14519734—22no—
87#14519734—22no—
88C2×C4⋊Dic61C2×C411yescharacteristic
89C2×C4⋊Dic61C2×C411yescharacteristic
90C2×C4⋊Dic61C2×C411yescharacteristic
91C2×#11758196C2×C411yescharacteristic
92C2×#11758196C2×C411yescharacteristic
93C2×#11758198C2×C411yescharacteristic
94C2×#11758198C2×C411yescharacteristic
95C2×#11758198C2×C411yescharacteristic
96C2×#11758198C2×C411yescharacteristic
97C2×#11758198C2×C411yescharacteristic
98C2×#11758198C2×C411yescharacteristic
99C2×#11758198C2×C411yescharacteristic
100C2×#11758198C2×C411yescharacteristic
101C2×C4×Dic61C2×C411yescharacteristic
102C2×C4×Dic61C2×C411yescharacteristic
103C2×C4×Dic61C2311yescharacteristic
104C2×C4×Dic61C2311yescharacteristic
105C42×D61—22no—
106C42×D61—22no—
107C4⋊#92418—22no—
108C4⋊#92418—22no—
109C4⋊#92418—22no—
110C4⋊#92418—22no—
111C4⋊#92418—41no—
112C4⋊#92418—41no—
113#14519706—22no—
114#14519706—22no—
115#14519706—22no—
116#14519706—22no—
117#14519689—22no—
118#14519689—22no—
119#14519689—22no—
120#14519689—22no—
121#14519684C2×C411yescharacteristic
122#14519684C2×C411yescharacteristic
123#14519684C2×C411yescharacteristic
124#14519684C2×C411yescharacteristic
125#14519684C2×C411yescharacteristic
126#14519684C2×C411yescharacteristic
127C22×C8×C61C2311yescharacteristic
128C22×C8×C61C2311yescharacteristic
129C22×C8×C61C2311yescharacteristic
130C22×C8×C61C2311yescharacteristic
131C2×C42×C61C2311yescharacteristic
132C2×C42×C61C2311yescharacteristic
133C2×C42×C61C2311yescharacteristic
134C4⋊C8×C61—22no—
135C4⋊C8×C61D414yescomplemented
136#97×C61—22no—
137C4×C8×C61—22no—
138#95×C61C2×C411yescharacteristic
139#95×C61C2×C411yescharacteristic
140#95×C61C2×C411yescharacteristic
141#95×C61C2×C411yescharacteristic
142C23×D61C22×C411yescharacteristic
143C23×D61C22×C411yescharacteristic
144C22×C4×C61C22×C411yescharacteristic
145C22×C4×C61C22×C411yescharacteristic
146C22×C4×C61C22×C411yescharacteristic
147C22×C4×C61C22×C411yescharacteristic
148C22×C4×C61C22×C411yescharacteristic
149C22×C4×C61C22×C411yescharacteristic
150C22×C4×C61C2411yescharacteristic
151C22×Dic61C22×C411yescharacteristic
152C22×Dic61C22×C411yescharacteristic
153C22×Dic61C22×C411yescharacteristic
154C22×Dic61C22×C411yescharacteristic
155C22×Dic61C22×C411yescharacteristic
156C22×Dic61C22×C411yescharacteristic
157C2×D244—41no—
158C2×D244—41no—
159C2×D244C4⋊C414yes—
160C2×C4×D61—21no—
161C2×C4×D61—21no—
162C2×C4×D61—21no—
163C2×C4×D61—21no—
164C2×C4×D61—21no—
165C2×C4×D61—21no—
166C2×C4×D61—21no—
167C2×C4×D61—21no—
168C2×C4×D61—22no—
169C2×C4×D61—22no—
170C2×C4×D61—22no—
171C2×C4×D61—41no—
172C2×C4×D61—41no—
173C2×C4×D61—41no—
174C2×C4×D61C2×D412yes—
175C2×C4×D61C2×D412yes—
176C2×C4×D61C2×Q812yes—
177C2×C4×D61C2×Q812yes—
178C2×C8×C61—21no—
179C2×C8×C61—21no—
180C2×C8×C61—21no—
181C2×C8×C61—21no—
182C2×C8×C61—21no—
183C2×C8×C61—21no—
184C2×C8×C61—21no—
185C2×C8×C61—21no—
186C2×C8×C61—21no—
187C2×C8×C61—21no—
188C2×C8×C61C2×D412yes—
189C2×C8×C61C2×D412yes—
190C42×C61—21no—
191C42×C61—21no—
192C42×C61C2×D412yes—
193C42×C61C2×D412yes—
194C42×C61C2×Q812yes—
195C42×C61#4112yes—
196#11758198—22no—
197#11758198—22no—
198#11758198—22no—
199#11758198—41no—
200#11758198—41no—
201#11758198—41no—
202#11758198C4⋊C414yes—
203#11758198C4⋊C414yes—
204C4⋊Dic61—22no—
205C4⋊Dic61—41no—
206C4⋊Dic61C4⋊C414yes—
207#11758196—22no—
208#11758196—22no—
209C4×Dic61—22no—
210C4×Dic61—22no—
211C4×Dic61—21no—
212C4×Dic61—21no—
213C4×Dic61—21no—
214C4×Dic61—21no—
215C2×#92418—21no—
216C2×#92418—21no—
217C2×#92418—21no—
218C2×#92418—21no—
219C2×#92418—21no—
220C2×#92418—21no—
221C2×#92418—21no—
222C2×#92418—21no—
223C2×#92418—21no—
224C2×#92418—21no—
225C2×#92418—21no—
226C2×#92418—21no—
227#11758189—44no—
228#11758189—44no—
229#11758189—44no—
230C8×D61—44no—
231C23×C61C23×C411yescharacteristic
232C22×D61—21no—
233C22×D61—21no—
234C22×D61—21no—
235C22×D61—21no—
236C22×D61—21no—
237C22×D61—21no—
238C22×D61—21no—
239C22×D61—21no—
240C22×D61—21no—
241C22×D61—21no—
242C22×D61—21no—
243C22×D61—21no—
244C22×D61C2×C4⋊C412yes—
245C22×D61C2×C4⋊C412yes—
246C2×C4×C61—21no—
247C2×C4×C61—21no—
248C2×C4×C61—21no—
249C2×C4×C61—21no—
250C2×C4×C61—21no—
251C2×C4×C61—21no—
252C2×C4×C61—21no—
253C2×C4×C61—21no—
254C2×C4×C61—21no—
255C2×C4×C61—21no—
256C2×C4×C61—21no—
257C2×C4×C61—21no—
258C2×C4×C61—21no—
259C2×C4×C61—21no—
260C2×C4×C61C2×C4⋊C412yes—
261C2×C4×C61C2×C4⋊C412yes—
262C2×C4×C61C4×D412yes—
263C2×C4×C61C4×D412yes—
264C2×C4×C61C22×D411yescharacteristic
265C2×C4×C61C22×D411yescharacteristic
266C2×C4×C61C22×Q811yescharacteristic
267C2×C4×C61C2×#4111yescharacteristic
268C2×C4×C61H(5,𝔽2)11yescharacteristic
269C2×C4×C612−1+411yescharacteristic
270C2×Dic61—21no—
271C2×Dic61—21no—
272C2×Dic61—21no—
273C2×Dic61—21no—
274C2×Dic61—21no—
275C2×Dic61—21no—
276C2×Dic61—21no—
277C2×Dic61—21no—
278C2×Dic61—21no—
279C2×Dic61—21no—
280C2×Dic61—21no—
281C2×Dic61—21no—
282C2×Dic61—21no—
283C2×Dic61—21no—
284C2×Dic61—21no—
285C2×Dic61C2×C4⋊C412yes—
286C2×Dic61C2×C4⋊C412yes—
287C2×Dic61#13112yes—
288D244—44no—
289C4×D61—22no—
290C4×D61—22no—
291C4×D61—22no—
292C4×D61—22no—
293C4×D61—22no—
294C4×D61—22no—
295C4×D61—22no—
296C4×D61—22no—
297C4×D61—44no—
298C4×D61—44no—
299C8×C61—22no—
300C8×C61—22no—
301C8×C61—41no—
302C8×C61—41no—
303#92418—41no—
304#92418—41no—
305#92418—41no—
306#92418—41no—
307#22649—611nomaximal, Sylow
308C22×C61C22×C4⋊C411yescharacteristic
309C22×C61C2×C4×D411yescharacteristic
310C22×C61#52011yescharacteristic
311C22×C61C2×#13111yescharacteristic
312C22×C61#56811yescharacteristic
313C22×C61#56811yescharacteristic
314C22×C61#56811yescharacteristic
315C2×D61—22no—
316C2×D61—22no—
317C2×D61—22no—
318C2×D61—22no—
319C2×D61—22no—
320C2×D61—22no—
321C2×D61—41no—
322C2×D61—41no—
323C2×D61—41no—
324C2×D61—41no—
325C2×D61—41no—
326C2×D61—41no—
327C2×D61—41no—
328C2×D61—41no—
329C4×C61—22no—
330C4×C61—22no—
331C4×C61—22no—
332C4×C61—22no—
333C4×C61—41no—
334C4×C61—41no—
335C4×C61D4211yescharacteristic
336C4×C61#54711yescharacteristic
337C4×C61D4×Q811yescharacteristic
338C4×C61#55411yescharacteristic
339Dic61—22no—
340Dic61—22no—
341Dic61—22no—
342Dic61—41no—
343Dic61—41no—
344Dic61—41no—
345C2×#436—611no—
346C2×#435—611no—
347C2×#424—611no—
348C2×#423—611no—
349#2290—611no—
350#1940—611no—
351#1939—611no—
352#1851—611no—
353#1851—611no—
354#1851—611no—
355#1850—611no—
356#1843—611no—
357#1798—611no—
358#1797—611no—
359#1768D6111yescharacteristic, complemented
360C2×C61D4×C4⋊C411yescharacteristic
361C2×C61#290511yescharacteristic
362C2×C61#290611yescharacteristic
363C2×C61#293011yescharacteristic
364C2×C61#293311yescharacteristic
365C2×C61#299311yescharacteristic
366C2×C61#299511yescharacteristic
367D61—42no—
368D61—42no—
369C22×M16—611no—
370C22×M16—611no—
371C22×M16—611no—
372C23×C8—611no—
373C2×C4×D4—611no—
374C2×#117—611no—
375C22×C42—611no—
376#436—1224no—
377#435—1224no—
378#424—1224no—
379#423—1224no—
380C2×C4⋊C8—611no—
381C2×C4⋊C8—611no—
382C2×C4⋊C8—611no—
383C2×C4⋊C8—611no—
384C2×C4⋊C8—611no—
385C2×C4⋊C8—611no—
386C2×C4⋊C8—611no—
387C2×C4⋊C8—611no—
388C2×C4⋊C8—611no—
389C2×C4⋊C8—611no—
390C2×C4⋊C8C2×D6111yescharacteristic
391C2×C4⋊C8C2×D6111yescharacteristic
392C2×C22⋊C8—611no—
393C2×C22⋊C8—611no—
394C2×C22⋊C8—611no—
395C2×C22⋊C8—611no—
396C2×#97C2×D6111yescharacteristic
397C2×C4×C8C2×D6111yescharacteristic
398#388—611no—
399#388—611no—
400#387—611no—
401#387—611no—
402#386—611no—
403#386—611no—
404#385—611no—
405#385—611no—
406C4×C4⋊C4—611no—
407C4×C22⋊C4—611no—
408C4×C22⋊C4—611no—
409#376C2×D6111yescharacteristic
410#336—611no—
411#336—611no—
412#336—611no—
413#336—611no—
414#336C2×D6111yescharacteristic
415#336C2×D6111yescharacteristic
416C61#2264911yescharacteristic, complemented, Sylow
417C22×D4—611no—
418C23×C4—611no—
419C23×C4—611no—
420C23×C4—611no—
421C23×C4—611no—
422C2×M16—1222no—
423C2×M16—1222no—
424C2×M16—1222no—
425C2×M16—1222no—
426C2×M16—1222no—
427C2×M16—1222no—
428C2×M16—2441no—
429C2×M16—2441no—
430C2×M16—2441no—
431C22×C8—611no—
432C22×C8—611no—
433C22×C8—611no—
434C22×C8—611no—
435C22×C8—1222no—
436C22×C8—1222no—
437C22×C8—2441no—
438C22×C8C22×D6111yescharacteristic
439C22×C8C22×D6111yescharacteristic
440C22×C8C22×D6111yescharacteristic
441C22×C8C22×D6111yescharacteristic
442C4×D4—614no—
443C4×D4—614no—
444#117—1222no—
445#117—1222no—
446C2×C4⋊C4—611no—
447C2×C4⋊C4—611no—
448C2×C4⋊C4—611no—
449C2×C4⋊C4—611no—
450C2×C4⋊C4—611no—
451C2×C22⋊C4—611no—
452C2×C22⋊C4—611no—
453C2×C22⋊C4—611no—
454C2×C22⋊C4—611no—
455C2×C22⋊C4—611no—
456C2×C22⋊C4—611no—
457C2×C22⋊C4—611no—
458C2×C22⋊C4—611no—
459C2×C42—611no—
460C2×C42—611no—
461C2×C42—611no—
462C2×C42—611no—
463C2×C42—1222no—
464C2×C42—1222no—
465C2×C42C22×D6111yescharacteristic
466C2×C42C22×D6111yescharacteristic
467C2×C42C22×D6111yescharacteristic
468C4⋊C8—22no—
469C4⋊C8—1222no—
470C4⋊C8—1222no—
471C4⋊C8—1222no—
472C4⋊C8—1222no—
473C4⋊C8—1222no—
474C4⋊C8—1222no—
475C4⋊C8—1222no—
476C4⋊C8—1222no—
477C4⋊C8—2441no—
478C4⋊C8—2441no—
479C4⋊C8D24414yescomplemented
480C22⋊C8—1222no—
481C22⋊C8—1222no—
482C22⋊C8—1222no—
483C22⋊C8—1222no—
484#97—22no—
485C4×C8—22no—
486#95—611no—
487#95—611no—
488#95—611no—
489#95—611no—
490#95—611no—
491#95—611no—
492#95C4×D6111yescharacteristic
493#95C4×D6111yescharacteristic
494#95C4×D6111yescharacteristic
495#95C4×D6111yescharacteristic
496C24—611no—
497C24—611no—
498C2×D4—614no—
499C2×D4—2441no—
500C2×D4—2441no—
501C22×C4—611no—
502C22×C4—611no—
503C22×C4—611no—
504C22×C4—612no—
505C22×C4—612no—
506C22×C4—612no—
507C22×C4—612no—
508C22×C4—611no—
509C22×C4—611no—
510C22×C4—611no—
511C22×C4—1222no—
512C22×C4—1221no—
513C22×C4—1221no—
514C22×C4—1221no—
515C22×C4—1221no—
516C22×C4—1221no—
517C22×C4—1221no—
518C22×C4—1221no—
519C22×C4—1221no—
520C22×C4—1222no—
521C22×C4—1222no—
522C22×C4—2441no—
523C22×C4—2441no—
524C22×C4—2441no—
525C22×C4C2×C4×D6111yescharacteristic
526C22×C4C2×C4×D6111yescharacteristic
527C22×C4C2×C4×D6111yescharacteristic
528C22×C4C2×C4×D6111yescharacteristic
529C22×C4C2×C4×D6111yescharacteristic
530C22×C4C2×C4×D6111yescharacteristic
531C22×C4C23×D6111yescharacteristic
532M16—2444no—
533M16—2444no—
534M16—2444no—
535C2×C8—21no—
536C2×C8—21no—
537C2×C8—21no—
538C2×C8—21no—
539C2×C8—21no—
540C2×C8—21no—
541C2×C8—21no—
542C2×C8—21no—
543C2×C8—21no—
544C2×C8—21no—
545C2×C8—1221no—
546C2×C8—1221no—
547C2×C8—1221no—
548C2×C8—1221no—
549C2×C8—1221no—
550C2×C8—1221no—
551C2×C8—1221no—
552C2×C8—1221no—
553C2×C8—1221no—
554C2×C8—1221no—
555C2×C8—1221no—
556C2×C8—1221no—
557C2×C8—2444no—
558C2×C8C2×D24412yes—
559C2×C8C2×D24412yes—
560C4⋊C4—614no—
561C4⋊C4—1222no—
562C4⋊C4—1222no—
563C4⋊C4—1222no—
564C4⋊C4—2441no—
565C22⋊C4—614no—
566C22⋊C4—614no—
567C22⋊C4—1222no—
568C22⋊C4—1222no—
569C22⋊C4—1222no—
570C22⋊C4—2441no—
571C22⋊C4—2441no—
572C22⋊C4—2441no—
573C42—21no—
574C42—21no—
575C42—1221no—
576C42—1221no—
577C42—1221no—
578C42—1221no—
579C42—1222no—
580C42—1222no—
581C42C2×D24412yes—
582C42#1175822212yes—
583C42D4×D6112yes—
584C42Q8×D6112yes—
585C23—612no—
586C23—612no—
587C23—1221no—
588C23—1221no—
589C23—1221no—
590C23—1221no—
591C23—1221no—
592C23—1221no—
593C23—1221no—
594C23—1221no—
595C23—1221no—
596C23—1221no—
597C23—1221no—
598C23—1221no—
599C23C22×C4×D6111yescharacteristic
600D4—2444no—
601C2×C4—21no—
602C2×C4—21no—
603C2×C4—21no—
604C2×C4—21no—
605C2×C4—21no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—612no—
616C2×C4—612no—
617C2×C4—612no—
618C2×C4—1221no—
619C2×C4—1221no—
620C2×C4—1221no—
621C2×C4—1221no—
622C2×C4—1221no—
623C2×C4—1221no—
624C2×C4—1222no—
625C2×C4—1222no—
626C2×C4—1222no—
627C2×C4—1222no—
628C2×C4—1222no—
629C2×C4—1222no—
630C2×C4—1222no—
631C2×C4—1222no—
632C2×C4—1221no—
633C2×C4—1221no—
634C2×C4—1221no—
635C2×C4—1221no—
636C2×C4—1221no—
637C2×C4—1221no—
638C2×C4—1221no—
639C2×C4—1221no—
640C2×C4—1221no—
641C2×C4—2444no—
642C2×C4—2444no—
643C2×C4C4⋊C4×D6112yes—
644C2×C4C4⋊C4×D6112yes—
645C2×C4C4×D24412yes—
646C2×C4C4×D24412yes—
647C2×C4C2×D4×D6111yescharacteristic
648C2×C4C22×D24411yescharacteristic
649C2×C4C2×Q8×D6111yescharacteristic
650C2×C4C2×#1175822211yescharacteristic
651C2×C4#1451982311yescharacteristic
652C2×C4#1451982411yescharacteristic
653C8—22no—
654C8—22no—
655C8—41no—
656C8—41no—
657C8—2441no—
658C8—2441no—
659C8—2441no—
660C8—2441no—
661C22—1222no—
662C22—1222no—
663C22—1222no—
664C22—1222no—
665C22—1222no—
666C22—1222no—
667C22—2441no—
668C22—2441no—
669C22—2441no—
670C22—2441no—
671C22—2441no—
672C22—2441no—
673C22—2441no—
674C22—2441no—
675C22C2×C4⋊C4×D6111yescharacteristic
676C22C2×C4×D24411yescharacteristic
677C22#1684024211yescharacteristic
678C22#131×D6111yescharacteristic
679C22#1684052711yescharacteristic
680C22#1684052711yescharacteristic
681C22#1684052711yescharacteristic
682C4—22no—
683C4—22no—
684C4—22no—
685C4—22no—
686C4—41no—
687C4—41no—
688C4—1222no—
689C4—1222no—
690C4—1222no—
691C4—2441no—
692C4—2441no—
693C4—2441no—
694C4D4×D24411yescharacteristic
695C4#1684041711yescharacteristic
696C4Q8×D24411yescharacteristic
697C4#1684047211yescharacteristic
698C2—2442no—
699C2—2442no—
700C2C4⋊C4×D24411yescharacteristic
701C2#2145438011yescharacteristic
702C2#2145438611yescharacteristic
703C2#2145452411yescharacteristic
704C2#2145454711yescharacteristic
705C2#2145496211yescharacteristic
706C2#2145498411yescharacteristic
subgroupG/H
center, FrattiniC22×C4C23×D61
commutator, socleC23×C61C23×C4
FittingC61×#1768C2
prime radicalC22×D244C2×C4
cosocleC22×C4×C61C24
hypercenter#1768D61
hypocenterC61#22649
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C22×C4 ◁ #1768

Complements

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

NH ≅ G/Ntype
3. C2×#16839787C2semidirect
4. C2×#16839784C2semidirect
6. #21446542C2semidirect
7. #21446537C2semidirect
8. #21446003C2semidirect
9. #21446003C2semidirect
10. #21446003C2semidirect
11. #21445998C2semidirect
12. #21445973C2semidirect
13. #21445800C2semidirect
14. #21445796C2semidirect
15. C61×#1768C2semidirect
135. C4⋊C8×C61D4semidirect
359. #1768D61semidirect
416. C61#22649semidirect
479. C4⋊C8D244semidirect

Maximal subgroups

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

subgroupindex
C2×#168398412
C2×#168398352
C2×#168397872
C2×#168397842
#214482632
#214465422
#214465372
#214460032
#214459982
#214459732
#214458002
#214457962
C61×#17682
#2264961