Finite Group Databasebeta

← #29732243

Subgroups — #29732243

Order 15616.

1164 conjugacy classes of subgroups.

The subgroup lattice has 748 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840296C211yesmaximal, characteristic
2C2×#16840003C211yesmaximal, characteristic, complemented
3C2×#16839991C211yesmaximal, characteristic
4#21454158C211yesmaximal, characteristic, complemented
5#21447158C211yesmaximal, characteristic, complemented
6#21447061C211yesmaximal, characteristic, complemented
7#21446971C211yesmaximal, characteristic, complemented
8#21446916C211yesmaximal, characteristic, complemented
9#21446247C211yesmaximal, characteristic
10#21446242C211yesmaximal, characteristic, complemented
11#21446159C211yesmaximal, characteristic, complemented
12#21446152C211yesmaximal, characteristic, complemented
13#21446090C211yesmaximal, characteristic, complemented
14#21446069C211yesmaximal, characteristic, complemented
15C2×C61×#336C211yesmaximal, characteristic, complemented
16C22×Dic244C2211yescharacteristic
17C22×#11758190C2211yescharacteristic
18#16840296—24no—
19#16840296—24no—
20C2×#14519771—21no—
21C2×#14519769C2211yescharacteristic
22C2×#14519765C2211yescharacteristic
23C2×#14519760—21no—
24C2×#14519756C2211yescharacteristic
25C2×#14519756C2211yescharacteristic
26C2×#14519751C2211yescharacteristic
27C2×C4×Dic122C2211yescharacteristic
28C2×C4×D244C2211yescharacteristic
29C2×C4×C22⋊D61—21no—
30C2×#14519734—21no—
31#16840003—24no—
32#16839991—24no—
33C2×#14519711C2211yescharacteristic
34C2×#14519709C2211yescharacteristic
35C2×#14519702C2211yescharacteristic
36C2×#14519702C2211yescharacteristic
37C2×#14519702C2211yescharacteristic
38C2×#14519702C2211yescharacteristic
39C2×#14519702C2211yescharacteristic
40C2×#14519699C2211yescharacteristic
41C2×#14519699C2211yescharacteristic
42C2×#14519699C2211yescharacteristic
43#16839668C2211yescharacteristic
44#16839668C2211yescharacteristic
45#16839660C2211yescharacteristic
46#16839660C2211yescharacteristic
47#16839646—21no—
48#16839646—21no—
49#16839635—21no—
50#16839625—21no—
51#16839622C2211yescharacteristic
52#16839525C2211yescharacteristic
53#16839525C2211yescharacteristic
54#16839525C2211yescharacteristic
55#16839525C2211yescharacteristic
56C23×C8×C61C2211yescharacteristic
57C23×C8×C61C2211yescharacteristic
58C22×C42×C61C2211yescharacteristic
59C61×#336C2211yescharacteristic
60C61×#336C2211yescharacteristic
61C61×#336C2211yescharacteristic
62C61×#336C2211yescharacteristic
63C22×Dic122C2311yescharacteristic
64C22×Dic122C2311yescharacteristic
65C22×D244C2311yescharacteristic
66C22×C22⋊D61—21no—
67C22×C4×D61—21no—
68C2×Dic244—22no—
69C2×Dic244—22no—
70C2×Dic244—41no—
71C2×#11758190—22no—
72C2×#11758190—22no—
73C2×#11758190—41no—
74#14519771—28no—
75#14519769—22no—
76#14519769—22no—
77#14519765—22no—
78#14519765—22no—
79#14519760—28no—
80#14519756—22no—
81#14519756—22no—
82#14519756—22no—
83#14519756D414yes—
84#14519751—22no—
85#14519751D414yes—
86C4×Dic122—22no—
87C4×Dic122—22no—
88C4×D244—22no—
89C4×D244—22no—
90C4×C22⋊D61—28no—
91#14519734—28no—
92C2×C4⋊Dic61C2311yescharacteristic
93C2×C4⋊Dic61C2311yescharacteristic
94C2×C4⋊Dic61C2311yescharacteristic
95C2×C4⋊Dic61C2311yescharacteristic
96C2×C4⋊Dic61C2311yescharacteristic
97C2×#11758196—21no—
98C2×#11758196—21no—
99C2×#11758196—21no—
100C2×#11758196—21no—
101C2×#11758196—21no—
102C2×#11758196—21no—
103C2×#11758196—21no—
104C2×C22⋊Dic61—21no—
105C2×C22⋊Dic61—21no—
106C2×C22⋊Dic61—21no—
107C2×#11758198—21no—
108C2×#11758198—21no—
109C2×#11758198—21no—
110C2×#11758198—21no—
111C2×C4×Dic61—21no—
112#14519711—22no—
113#14519709—22no—
114#14519702—22no—
115#14519702—22no—
116#14519702—22no—
117#14519702—22no—
118#14519702—41no—
119#14519699—22no—
120#14519699—22no—
121#14519699—41no—
122#14519684—21no—
123#14519684—21no—
124#14519684—21no—
125#14519684—21no—
126#14519684—21no—
127#14519684—21no—
128#14519684—21no—
129C23×C4×C61D411yescharacteristic
130C23×C4×C61D411yescharacteristic
131C23×C4×C61C2311yescharacteristic
132C22×C8×C61—22no—
133C22×C8×C61—22no—
134C22×C8×C61—22no—
135C22×C8×C61—22no—
136C22×C8×C61—41no—
137C22×C8×C61—41no—
138C22×C8×C61C2311yescharacteristic
139C22×C8×C61C2311yescharacteristic
140C22×C8×C61C2311yescharacteristic
141C22×C8×C61C2311yescharacteristic
142C2×C42×C61—22no—
143C2×C42×C61—22no—
144C2×C42×C61D411yescharacteristic
145C2×C42×C61D411yescharacteristic
146C2×C42×C61C2311yescharacteristic
147C2×C42×C61C2311yescharacteristic
148C24×C61C2×D411yescharacteristic
149C23×D61—21no—
150C22×C4×C61—21no—
151C22×C4×C61—21no—
152C22×C4×C61—21no—
153C22×C4×C61—21no—
154C22×C4×C61—22no—
155C22×C4×C61—22no—
156C22×C4×C61—22no—
157C22×C4×C61—22no—
158C22×C4×C61—22no—
159C22×C4×C61—41no—
160C22×C4×C61C2×D411yescharacteristic
161C22×C4×C61C2×D411yescharacteristic
162C22×C4×C61C2×D411yescharacteristic
163C22×C4×C61C2×D411yescharacteristic
164C22×C4×C61C2×D412yes—
165C22×C4×C61C2×D412yes—
166C22×C4×C61C2×D411yescharacteristic
167C22×C4×C61C2411yescharacteristic
168C2×C22⋊D61—24no—
169C2×C22⋊D61—42no—
170C2×C22⋊D61—42no—
171C22×Dic61—21no—
172C22×Dic61—21no—
173C22×Dic61—21no—
174C22×Dic61—21no—
175C22×Dic61—21no—
176C22×Dic61—21no—
177C22×Dic61—21no—
178C2×D244—21no—
179C2×D244—21no—
180C2×D244—21no—
181C2×D244—21no—
182C2×D244—21no—
183C2×D244C2×D412yes—
184C2×C4×D61—24no—
185C2×C4×D61—42no—
186C2×C4×D61—42no—
187C2×Dic122—21no—
188C2×Dic122—21no—
189C2×Dic122—21no—
190C2×Dic122—21no—
191C2×Dic122—21no—
192C2×Dic122—21no—
193C2×Dic122—21no—
194C2×Dic122—21no—
195C2×Dic122—21no—
196C2×Dic122—21no—
197C2×Dic122—21no—
198C2×Dic122C2×D412yes—
199C2×C8×C61—21no—
200C2×C8×C61—21no—
201C2×C8×C61—21no—
202C2×C8×C61—21no—
203C2×C8×C61—21no—
204C2×C8×C61—21no—
205C2×C8×C61—21no—
206C2×C8×C61—21no—
207C2×C8×C61—21no—
208C2×C8×C61—21no—
209C2×C8×C61—44no—
210C2×C8×C61—44no—
211C2×C8×C61#4112yes—
212C2×C8×C61#4112yes—
213C42×C61—22no—
214C42×C61—22no—
215C42×C61—21no—
216C42×C61—21no—
217C42×C61—21no—
218C42×C61—21no—
219C22⋊Dic61—24no—
220C22⋊Dic61—42no—
221C22⋊Dic61—42no—
222#11758198—24no—
223#11758198—24no—
224#11758198—24no—
225#11758198—24no—
226C4⋊Dic61—21no—
227C4⋊Dic61—21no—
228C4⋊Dic61—21no—
229C4⋊Dic61—21no—
230C4⋊Dic61—21no—
231C4⋊Dic61—21no—
232C4⋊Dic61—21no—
233C4⋊Dic61—21no—
234C4⋊Dic61C2×D412yes—
235C4⋊Dic61C2×D412yes—
236#11758196—24no—
237#11758196—24no—
238#11758196—24no—
239#11758196—24no—
240#11758196—42no—
241#11758196—42no—
242#11758196—42no—
243C4×Dic61—24no—
244Dic244—44no—
245#11758190—44no—
246C23×C61—21no—
247C23×C61—21no—
248C23×C61—21no—
249C23×C61—21no—
250C23×C61#12012yes—
251C23×C61#13512yes—
252C23×C61#13712yes—
253C23×C61C22×D411yescharacteristic
254C22×D61—22no—
255C22×D61—41no—
256C22×D61—41no—
257C22×D61—41no—
258C22×D61—41no—
259C22×D61—41no—
260C22×D61—41no—
261C2×C4×C61—21no—
262C2×C4×C61—21no—
263C2×C4×C61—21no—
264C2×C4×C61—21no—
265C2×C4×C61—22no—
266C2×C4×C61—22no—
267C2×C4×C61—22no—
268C2×C4×C61—22no—
269C2×C4×C61—21no—
270C2×C4×C61—21no—
271C2×C4×C61—21no—
272C2×C4×C61—21no—
273C2×C4×C61—21no—
274C2×C4×C61—21no—
275C2×C4×C61—21no—
276C2×C4×C61—21no—
277C2×C4×C61—21no—
278C2×C4×C61—44no—
279C2×C4×C61—44no—
280C2×C4×C61#12012yes—
281C2×C4×C61#13512yes—
282C2×C4×C61C22×D411yescharacteristic
283C2×C4×C61C22×D411yescharacteristic
284C2×C4×C61C2×#4111yescharacteristic
285C2×C4×C61C2×#4111yescharacteristic
286C2×C4×C61H(5,𝔽2)11yescharacteristic
287C2×C4×C612−1+411yescharacteristic
288C22⋊D61—48no—
289C2×Dic61—22no—
290C2×Dic61—22no—
291C2×Dic61—22no—
292C2×Dic61—41no—
293C2×Dic61—41no—
294C2×Dic61—41no—
295C2×Dic61—41no—
296C2×Dic61—41no—
297C2×Dic61—41no—
298C2×Dic61—41no—
299C2×Dic61—41no—
300C2×Dic61—41no—
301C2×Dic61—41no—
302C2×Dic61—41no—
303C2×Dic61—41no—
304C2×Dic61—41no—
305C2×Dic61—41no—
306C2×Dic61—41no—
307C2×Dic61—41no—
308C2×Dic61—41no—
309C2×Dic61—41no—
310D244—22no—
311D244—22no—
312D244—41no—
313D244—41no—
314C4×D61—48no—
315Dic122—22no—
316Dic122—22no—
317Dic122—41no—
318Dic122—41no—
319Dic122—41no—
320Dic122—41no—
321Dic122—41no—
322Dic122—41no—
323C8×C61—22no—
324C8×C61—22no—
325C8×C61—41no—
326C8×C61—41no—
327#25499—611nomaximal, Sylow
328C22×C61—22no—
329C22×C61—22no—
330C22×C61—22no—
331C22×C61—22no—
332C22×C61—22no—
333C22×C61—22no—
334C22×C61#45214yes—
335C22×C61C2×#12011yescharacteristic
336C22×C61#53211yescharacteristic
337C22×C61#53711yescharacteristic
338C22×C61C2×#13511yescharacteristic
339C22×C61C2×#13511yescharacteristic
340C22×C61C2×#13711yescharacteristic
341C22×C61#57511yescharacteristic
342C2×D61—42no—
343C2×D61—42no—
344C2×D61—42no—
345C2×D61—81no—
346C2×D61—81no—
347C2×D61—81no—
348C2×D61—81no—
349C4×C61—22no—
350C4×C61—22no—
351C4×C61—41no—
352C4×C61—41no—
353C4×C61—41no—
354C4×C61#54611yescharacteristic
355C4×C61#54611yescharacteristic
356C4×C61#54711yescharacteristic
357C4×C61#54711yescharacteristic
358Dic61—42no—
359Dic61—42no—
360Dic61—42no—
361Dic61—81no—
362Dic61—81no—
363Dic61—81no—
364Dic61—81no—
365C2×#529—611no—
366C2×#467—611no—
367C2×#465—611no—
368#2855—611no—
369#2059—611no—
370#2042—611no—
371#2026—611no—
372#2015—611no—
373#1893—611no—
374#1892—611no—
375#1878—611no—
376#1877—611no—
377#1865—611no—
378#1862—611no—
379C2×#336D6111yescharacteristic, complemented
380C2×C61—24no—
381C2×C61#243011yescharacteristic
382C2×C61C2×#45211yescharacteristic
383C2×C61#300211yescharacteristic
384C2×C61#316811yescharacteristic
385C2×C61#318111yescharacteristic
386C2×C61#324811yescharacteristic
387C2×C61#325011yescharacteristic
388D61—82no—
389C22×Q16—611no—
390C22×SD16—611no—
391C23×C8C2×D6111yescharacteristic
392C23×C8C2×D6111yescharacteristic
393#529—1224no—
394#529—1224no—
395C2×#126—1221no—
396C2×#125—611no—
397C2×#124—611no—
398C2×#123—1221no—
399C2×C22⋊Q8—611no—
400C2×C22⋊Q8—611no—
401C2×#121—611no—
402C2×C4×Q8—611no—
403C2×C4×D4—611no—
404C2×C4×D4—1221no—
405C2×#117—1221no—
406C22×C42C2×D6111yescharacteristic
407#467—1224no—
408#465—1224no—
409C2×#107—611no—
410C2×#106—611no—
411C2×#103—611no—
412C2×#103—611no—
413C2×#103—611no—
414C2×#103—611no—
415C2×#103—611no—
416C2×#102—611no—
417C2×#102—611no—
418C2×#102—611no—
419#391—611no—
420#391—611no—
421#389—611no—
422#389—611no—
423#387—1221no—
424#387—1221no—
425#385—1221no—
426#381—1221no—
427#380—611no—
428#340—611no—
429#340—611no—
430#340—611no—
431#340—611no—
432#336C2×D6111yescharacteristic
433#336C2×D6111yescharacteristic
434#336C2×D6111yescharacteristic
435#336C2×D6111yescharacteristic
436C61#2549911yescharacteristic, complemented, Sylow
437C22×Q8—611no—
438C22×Q8—611no—
439C22×D4—611no—
440C22×D4—1221no—
441C23×C4—1221no—
442C23×C4D24411yescharacteristic
443C23×C4D24411yescharacteristic
444C23×C4C22×D6111yescharacteristic
445C2×Q16—1222no—
446C2×Q16—1222no—
447C2×Q16—2441no—
448C2×SD16—1222no—
449C2×SD16—1222no—
450C2×SD16—2441no—
451C22×C8—22no—
452C22×C8—22no—
453C22×C8—22no—
454C22×C8—22no—
455C22×C8—41no—
456C22×C8—41no—
457C22×C8C22×D6111yescharacteristic
458C22×C8C22×D6111yescharacteristic
459C22×C8C22×D6111yescharacteristic
460C22×C8C22×D6111yescharacteristic
461#126—1228no—
462#125—1222no—
463#125—1222no—
464#124—1222no—
465#124—1222no—
466#123—1228no—
467C22⋊Q8—614no—
468C22⋊Q8—1222no—
469C22⋊Q8—1222no—
470C22⋊Q8—1222no—
471#121—614no—
472#121—1222no—
473C4×Q8—1222no—
474C4×Q8—1222no—
475C4×D4—1222no—
476C4×D4—1222no—
477C4×D4—1228no—
478#117—1228no—
479C2×C4⋊C4—611no—
480C2×C4⋊C4—611no—
481C2×C4⋊C4—611no—
482C2×C4⋊C4—611no—
483C2×C4⋊C4—611no—
484C2×C4⋊C4—1221no—
485C2×C4⋊C4—1221no—
486C2×C4⋊C4—1221no—
487C2×C4⋊C4—1221no—
488C2×C4⋊C4—1221no—
489C2×C4⋊C4—1221no—
490C2×C4⋊C4—1221no—
491C2×C22⋊C4—1221no—
492C2×C22⋊C4—1221no—
493C2×C22⋊C4—1221no—
494C2×C22⋊C4—1221no—
495C2×C22⋊C4—1221no—
496C2×C22⋊C4—1221no—
497C2×C22⋊C4—1221no—
498C2×C42—22no—
499C2×C42—22no—
500C2×C42—1221no—
501C2×C42D24411yescharacteristic
502C2×C42D24411yescharacteristic
503C2×C42C22×D6111yescharacteristic
504C2×C42C22×D6111yescharacteristic
505#107—1222no—
506#106—1222no—
507#103—1222no—
508#103—1222no—
509#103—1222no—
510#103—1222no—
511#103—2441no—
512#102—1222no—
513#102—1222no—
514#102—2441no—
515#95—1221no—
516#95—1221no—
517#95—1221no—
518#95—1221no—
519#95—1221no—
520#95—1221no—
521#95—1221no—
522C24—1221no—
523C24C2×D24411yescharacteristic
524C2×Q8—612no—
525C2×Q8—1221no—
526C2×Q8—1221no—
527C2×Q8—1221no—
528C2×Q8—1221no—
529C2×Q8—1221no—
530C2×Q8—1221no—
531C2×Q8—1221no—
532C2×Q8—1221no—
533C2×Q8—1221no—
534C2×Q8—1221no—
535C2×Q8—1221no—
536C2×D4—612no—
537C2×D4—1224no—
538C2×D4—1221no—
539C2×D4—1221no—
540C2×D4—1221no—
541C2×D4—1221no—
542C2×D4—1221no—
543C2×D4—2442no—
544C2×D4—2442no—
545C22×C4—21no—
546C22×C4—21no—
547C22×C4—21no—
548C22×C4—21no—
549C22×C4—22no—
550C22×C4—22no—
551C22×C4—22no—
552C22×C4—22no—
553C22×C4—22no—
554C22×C4—41no—
555C22×C4—1224no—
556C22×C4—1221no—
557C22×C4—1221no—
558C22×C4—1221no—
559C22×C4—1221no—
560C22×C4—1221no—
561C22×C4—1221no—
562C22×C4—1221no—
563C22×C4—2442no—
564C22×C4—2442no—
565C22×C4C2×D24411yescharacteristic
566C22×C4C2×D24411yescharacteristic
567C22×C4C2×D24411yescharacteristic
568C22×C4C2×D24411yescharacteristic
569C22×C4C2×D24411yescharacteristic
570C22×C4D4×D6112yes—
571C22×C4D4×D6112yes—
572C22×C4C23×D6111yescharacteristic
573Q16—2444no—
574SD16—2444no—
575C2×C8—21no—
576C2×C8—21no—
577C2×C8—21no—
578C2×C8—21no—
579C2×C8—21no—
580C2×C8—21no—
581C2×C8—21no—
582C2×C8—21no—
583C2×C8—21no—
584C2×C8—21no—
585C2×C8—44no—
586C2×C8—44no—
587C2×C8#1175822212yes—
588C2×C8#1175822212yes—
589C4⋊C4—612no—
590C4⋊C4—612no—
591C4⋊C4—1224no—
592C4⋊C4—1224no—
593C4⋊C4—1224no—
594C4⋊C4—1221no—
595C4⋊C4—1221no—
596C4⋊C4—1224no—
597C4⋊C4—1221no—
598C4⋊C4—1221no—
599C4⋊C4—1221no—
600C4⋊C4—1221no—
601C4⋊C4—1221no—
602C4⋊C4—1221no—
603C4⋊C4—2442no—
604C4⋊C4—2442no—
605C4⋊C4—2442no—
606C22⋊C4—1224no—
607C22⋊C4—1224no—
608C22⋊C4—1224no—
609C22⋊C4—1224no—
610C22⋊C4—1224no—
611C22⋊C4—2442no—
612C22⋊C4—2442no—
613C42—21no—
614C42—21no—
615C42—21no—
616C42—21no—
617C42—22no—
618C42—22no—
619C42—1224no—
620C23—21no—
621C23—21no—
622C23—21no—
623C23—21no—
624C23—1222no—
625C23—2441no—
626C23—2441no—
627C23—2441no—
628C23—2441no—
629C23—2441no—
630C23—2441no—
631C23#1451974712yes—
632C23#1451979912yes—
633C23#1451981012yes—
634C23C22×D24411yescharacteristic
635Q8—1222no—
636Q8—1222no—
637Q8—2441no—
638Q8—2441no—
639Q8—2441no—
640Q8—2441no—
641Q8—2441no—
642Q8—2441no—
643D4—1222no—
644D4—1222no—
645D4—2448no—
646D4—2441no—
647D4—2441no—
648C2×C4—21no—
649C2×C4—21no—
650C2×C4—21no—
651C2×C4—21no—
652C2×C4—22no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—22no—
656C2×C4—21no—
657C2×C4—21no—
658C2×C4—21no—
659C2×C4—21no—
660C2×C4—21no—
661C2×C4—21no—
662C2×C4—21no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—44no—
666C2×C4—44no—
667C2×C4—1222no—
668C2×C4—1222no—
669C2×C4—1222no—
670C2×C4—2448no—
671C2×C4—2441no—
672C2×C4—2441no—
673C2×C4—2441no—
674C2×C4—2441no—
675C2×C4—2441no—
676C2×C4—2441no—
677C2×C4—2441no—
678C2×C4—2441no—
679C2×C4—2441no—
680C2×C4—2441no—
681C2×C4—2441no—
682C2×C4—2441no—
683C2×C4—2441no—
684C2×C4—2441no—
685C2×C4—2441no—
686C2×C4—2441no—
687C2×C4—2441no—
688C2×C4—2441no—
689C2×C4#1451974712yes—
690C2×C4#1451979912yes—
691C2×C4C2×D4×D6111yescharacteristic
692C2×C4C2×D4×D6111yescharacteristic
693C2×C4C2×#1175822211yescharacteristic
694C2×C4C2×#1175822211yescharacteristic
695C2×C4#1451982211yescharacteristic
696C2×C4#1451982511yescharacteristic
697C8—22no—
698C8—22no—
699C8—41no—
700C8—41no—
701C22—22no—
702C22—22no—
703C22—22no—
704C22—22no—
705C22—22no—
706C22—22no—
707C22—4881no—
708C22—4881no—
709C22—4881no—
710C22—4881no—
711C22—2442no—
712C22—2442no—
713C22—2442no—
714C22#1683992614yes—
715C22C2×#1451974711yescharacteristic
716C22#1684031211yescharacteristic
717C22#1684034311yescharacteristic
718C22C2×#1451979911yescharacteristic
719C22C2×#1451979911yescharacteristic
720C22C2×#1451981011yescharacteristic
721C22#1684056211yescharacteristic
722C4—22no—
723C4—22no—
724C4—41no—
725C4—41no—
726C4—41no—
727C4—4881no—
728C4—4881no—
729C4—4881no—
730C4—4881no—
731C4—2442no—
732C4—2442no—
733C4—2442no—
734C4#1684040211yescharacteristic
735C4#1684040211yescharacteristic
736C4#1684041311yescharacteristic
737C4#1684041311yescharacteristic
738C2—24no—
739C2—4882no—
740C2#2144942911yescharacteristic
741C2C2×#1683992611yescharacteristic
742C2#2145504111yescharacteristic
743C2#2145638911yescharacteristic
744C2#2145652811yescharacteristic
745C2#2145715711yescharacteristic
746C2#2145717111yescharacteristic
subgroupG/H
centerC23C22×D244
commutator, cosocleC22×C4×C61C24
FrattiniC22×C4C23×D61
FittingC2×C61×#336C2
socleC23×C61C22×D4
prime radicalC2×#14519751C22
hypercenterC2×#336D61
hypocenterC61#25499
LCSG ▷ C22×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C22×C42 ◁ C2×#336

Complements

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

NH ≅ G/Ntype
2. C2×#16840003C2semidirect
4. #21454158C2semidirect
5. #21447158C2semidirect
6. #21447061C2semidirect
7. #21446971C2semidirect
8. #21446916C2semidirect
10. #21446242C2semidirect
11. #21446159C2semidirect
12. #21446152C2semidirect
13. #21446090C2semidirect
14. #21446069C2semidirect
15. C2×C61×#336C2semidirect
379. C2×#336D61semidirect
436. C61#25499semidirect

Maximal subgroups

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

subgroupindex
C2×#168402962
C2×#168400032
C2×#168399912
#214541582
#214471582
#214470612
#214469712
#214469162
#214462472
#214462422
#214461592
#214461522
#214460902
#214460692
C2×C61×#3362
#2549961