Finite Group Databasebeta

← #29658572

Subgroups — #29658572

Order 15616.

988 conjugacy classes of subgroups.

The subgroup lattice has 756 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21456775C211yesmaximal, characteristic, complemented
2#21455981C211yesmaximal, characteristic, complemented
3#21455607C211yesmaximal, characteristic, complemented
4#21445033C211yesmaximal, characteristic, complemented
5#21445026C211yesmaximal, characteristic, complemented
6#21445005C211yesmaximal, characteristic, complemented
7#21444998C211yesmaximal, characteristic, complemented
8#21444953C211yesmaximal, characteristic, complemented
9#21444953C211yesmaximal, characteristic, complemented
10#21444940C211yesmaximal, characteristic, complemented
11#21444935C211yesmaximal, characteristic, complemented
12#21444514C211yesmaximal, characteristic, complemented
13#21444253C211yesmaximal, characteristic, complemented
14#21444206C211yesmaximal, characteristic, complemented
15C61×#3481C211yesmaximal, characteristic
16#16840319C2211yescharacteristic, complemented
17#16840141C2211yescharacteristic, complemented
18#16840134C2211yescharacteristic
19#16840112C2211yescharacteristic, complemented
20#16840108C2211yescharacteristic
21#16840103—21no—
22#16840069—21no—
23#16840062—21no—
24#16840057C2211yescharacteristic, complemented
25#16840057C2211yescharacteristic, complemented
26#16840052C2211yescharacteristic
27#16840052C2211yescharacteristic
28#16840047C2211yescharacteristic, complemented
29#16840042C2211yescharacteristic
30#16839981—22no—
31#16839972C2211yescharacteristic, complemented
32#16839967C2211yescharacteristic
33#16839924—21no—
34#16839924—22no—
35#16839867—21no—
36#16839862—21no—
37#16839819C2211yescharacteristic, complemented
38#16839815C2211yescharacteristic, complemented
39#16839798—21no—
40C2×C4⋊#92418C2211yescharacteristic, complemented
41#16839758—21no—
42#16839511C2211yescharacteristic, complemented
43#16839511C2211yescharacteristic, complemented
44#16839506C2211yescharacteristic
45#16839506C2211yescharacteristic
46Q8⋊#92418C2211yescharacteristic, complemented
47Q8⋊#92418C2211yescharacteristic, complemented
48Q8⋊#92418C2211yescharacteristic, complemented
49Q8⋊#92418C2211yescharacteristic, complemented
50D4⋊#92418C2211yescharacteristic
51D4⋊#92418C2211yescharacteristic
52D4⋊#92418C2211yescharacteristic
53D4⋊#92418C2211yescharacteristic
54C61×#559C2211yescharacteristic
55C61×#554C2211yescharacteristic
56C61×#554C2211yescharacteristic
57C61×#553—21no—
58C61×#553—21no—
59C61×#551—22no—
60C61×#546—21no—
61C61×#546—21no—
62D42×C61C2211yescharacteristic
63C61×#532C2211yescharacteristic
64C61×#529—21no—
65C61×#529—21no—
66C61×#525—22no—
67C4×#41×C61C2211yescharacteristic
68C4×#41×C61C2211yescharacteristic
69C2×C4×D4×C61—21no—
70C2×C4×D4×C61—21no—
71C2×#11758202—21no—
72C2×#11758202—22no—
73C2×#11758200—21no—
74C2×#11758200—22no—
75C22×#92418—21no—
76#14519777C2311yescharacteristic
77#14519777C2311yescharacteristic
78#14519769—21no—
79#14519756—21no—
80#14519756—21no—
81C4×Dic122—21no—
82C4×Dic122—21no—
83#14519736—21no—
84#14519710—21no—
85#14519710—21no—
86#14519710—21no—
87#14519708—21no—
88#14519708—21no—
89#14519708—21no—
90C4⋊#92418—21no—
91C4⋊#92418—21no—
92C4⋊#92418C2311yescharacteristic
93C4⋊#92418C2311yescharacteristic
94C4⋊#92418C2311yescharacteristic
95C4⋊#92418C2311yescharacteristic
96#14519701—22no—
97#14519701—21no—
98#14519701—21no—
99#14519701—21no—
100#14519700—21no—
101#14519700—21no—
102#14519698—22no—
103#14519698—21no—
104#14519698—21no—
105#14519698—21no—
106C22⋊#92418—21no—
107C22⋊#92418—21no—
108#14519688—21no—
109C4×#92418C2311yescharacteristic
110C4×#92418C2311yescharacteristic
111C2×#41×C61D411yescharacteristic
112C2×#41×C61D411yescharacteristic
113C2×#41×C61D412yes—
114C22×D4×C61—21no—
115C22×D4×C61—21no—
116C23×C4×C61—22no—
117C4⋊Q8×C61C2311yescharacteristic
118#127×C61C2311yescharacteristic
119#126×C61—22no—
120#126×C61—22no—
121#125×C61—21no—
122#125×C61—21no—
123#124×C61—21no—
124#124×C61—21no—
125#124×C61D412yes—
126#123×C61—22no—
127#123×C61—22no—
128#123×C61—22no—
129#123×C61—22no—
130C22⋊Q8×C61—21no—
131C22⋊Q8×C61—21no—
132C22⋊Q8×C61—22no—
133C22⋊Q8×C61—22no—
134#121×C61—22no—
135#121×C61—22no—
136#121×C61—21no—
137#121×C61—21no—
138#121×C61—21no—
139#121×C61—21no—
140#120×C61—22no—
141#120×C61—22no—
142C4×Q8×C61D411yescharacteristic
143C4×Q8×C61D411yescharacteristic
144C4×Q8×C61C2311yescharacteristic
145C4×Q8×C61C2311yescharacteristic
146C4×D4×C61—22no—
147C4×D4×C61—22no—
148C4×D4×C61—22no—
149C4×D4×C61—22no—
150C4×D4×C61—21no—
151C4×D4×C61—21no—
152C4×D4×C61—21no—
153C4×D4×C61—21no—
154C4×D4×C61—21no—
155C4×D4×C61—21no—
156C4×D4×C61—21no—
157C4×D4×C61—21no—
158C4×D4×C61—21no—
159C4×D4×C61—21no—
160C4×D4×C61D411yescharacteristic
161C4×D4×C61D411yescharacteristic
162C4×D4×C61C2311yescharacteristic
163C4×D4×C61C2311yescharacteristic
164#117×C61—22no—
165#117×C61—21no—
166#117×C61—21no—
167#117×C61D411yescharacteristic
168#117×C61D411yescharacteristic
169C2×C4⋊C4×C61—21no—
170C2×C4⋊C4×C61—21no—
171C2×C22⋊C4×C61—22no—
172C2×C22⋊C4×C61—22no—
173C2×C42×C61—21no—
174C2×C42×C61—21no—
175C2×C42×C61C2311yescharacteristic
176C24×C61—22no—
177#41×C61—22no—
178#41×C61—22no—
179#41×C61—41no—
180#41×C61—41no—
181#41×C61—82no—
182C2×Q8×C61C2×D411yescharacteristic
183C2×Q8×C61C2×D411yescharacteristic
184C2×Q8×C61C2×D412yes—
185C2×D4×C61—22no—
186C2×D4×C61—22no—
187C2×D4×C61—21no—
188C2×D4×C61—21no—
189C2×D4×C61—22no—
190C2×D4×C61—21no—
191C2×D4×C61—21no—
192C2×D4×C61—42no—
193C2×D4×C61—42no—
194C2×D4×C61—42no—
195C2×D4×C61—42no—
196C2×D4×C61C2×D411yescharacteristic
197C2×D4×C61C2×D411yescharacteristic
198C2×D4×C61C2×D412yes—
199C22×C4×C61—22no—
200C22×C4×C61—22no—
201C22×C4×C61—22no—
202C22×C4×C61—21no—
203C22×C4×C61—21no—
204C22×C4×C61—21no—
205C22×C4×C61—21no—
206C22×C4×C61—22no—
207C22×C4×C61—21no—
208C22×C4×C61—21no—
209C22×C4×C61—84no—
210C22×C4×C61C2×D411yescharacteristic
211C22×C4×C61C2×D411yescharacteristic
212C22×C4×C61C2×D411yescharacteristic
213C2×Dic122—21no—
214C2×Dic122—21no—
215C4⋊C4×C61—22no—
216C4⋊C4×C61—22no—
217C4⋊C4×C61—22no—
218C4⋊C4×C61—22no—
219C4⋊C4×C61—21no—
220C4⋊C4×C61—21no—
221C4⋊C4×C61—21no—
222C4⋊C4×C61—21no—
223C4⋊C4×C61—21no—
224C4⋊C4×C61—21no—
225C4⋊C4×C61C2×D411yescharacteristic
226C4⋊C4×C61C2×D411yescharacteristic
227C4⋊C4×C61C2×D411yescharacteristic
228C4⋊C4×C61C2×D411yescharacteristic
229C22⋊C4×C61—22no—
230C22⋊C4×C61—22no—
231C22⋊C4×C61—22no—
232C22⋊C4×C61—22no—
233C22⋊C4×C61—22no—
234C22⋊C4×C61—22no—
235C22⋊C4×C61—21no—
236C22⋊C4×C61—21no—
237C22⋊C4×C61—21no—
238C22⋊C4×C61—21no—
239C22⋊C4×C61—22no—
240C22⋊C4×C61—22no—
241C22⋊C4×C61—21no—
242C22⋊C4×C61—21no—
243C42×C61—21no—
244C42×C61—21no—
245C42×C61—21no—
246C42×C61—21no—
247C42×C61—21no—
248C42×C61—21no—
249C42×C61C2×D411yescharacteristic
250C42×C61C2×D411yescharacteristic
251C42×C61C2×D411yescharacteristic
252C42×C61C2411yescharacteristic
253C22⋊Dic61—41no—
254#11758202—42no—
255#11758202—82no—
256#11758200—42no—
257#11758200—82no—
258C4⋊Dic61—21no—
259C4⋊Dic61—21no—
260C4⋊Dic61—21no—
261C4⋊Dic61—21no—
262#11758196—41no—
263#11758196—41no—
264C4×Dic61—41no—
265C2×#92418—21no—
266C2×#92418—21no—
267C2×#92418—21no—
268C2×#92418—21no—
269C2×#92418—21no—
270C2×#92418—21no—
271C2×#92418—42no—
272C23×C61—21no—
273C23×C61—21no—
274C23×C61—22no—
275C23×C61—44no—
276C23×C61—44no—
277C23×C61—82no—
278C23×C61#12011yescharacteristic
279Q8×C61—21no—
280Q8×C61—21no—
281Q8×C61—21no—
282Q8×C61—21no—
283Q8×C61—42no—
284D4×C61—21no—
285D4×C61—21no—
286D4×C61—42no—
287D4×C61—42no—
288D4×C61—42no—
289D4×C61—44no—
290D4×C61—44no—
291D4×C61—41no—
292D4×C61—41no—
293D4×C61—41no—
294D4×C61—41no—
295D4×C61—82no—
296D4×C61#13512yes—
297D4×C61#13712yes—
298C2×C4×C61—21no—
299C2×C4×C61—21no—
300C2×C4×C61—21no—
301C2×C4×C61—21no—
302C2×C4×C61—21no—
303C2×C4×C61—21no—
304C2×C4×C61—21no—
305C2×C4×C61—21no—
306C2×C4×C61—21no—
307C2×C4×C61—21no—
308C2×C4×C61—22no—
309C2×C4×C61—41no—
310C2×C4×C61—42no—
311C2×C4×C61—42no—
312C2×C4×C61—42no—
313C2×C4×C61—42no—
314C2×C4×C61—44no—
315C2×C4×C61—41no—
316C2×C4×C61—41no—
317C2×C4×C61—41no—
318C2×C4×C61—41no—
319C2×C4×C61—82no—
320C2×C4×C61—82no—
321C2×C4×C61—82no—
322C2×C4×C61#12011yescharacteristic
323C2×C4×C61#12011yescharacteristic
324C2×C4×C61#12011yescharacteristic
325C2×C4×C61C22×D411yescharacteristic
326C2×C4×C61C22×D411yescharacteristic
327C2×C4×C61C22×D411yescharacteristic
328C2×Dic61—41no—
329C2×Dic61—41no—
330Dic122—42no—
331Dic122—41no—
332Dic122—41no—
333#92418—41no—
334#92418—41no—
335#92418—41no—
336#92418—41no—
337#92418—41no—
338#92418—41no—
339#18755—611nomaximal, Sylow
340C22×C61—21no—
341C22×C61—22no—
342C22×C61—21no—
343C22×C61—22no—
344C22×C61—21no—
345C22×C61—41no—
346C22×C61—41no—
347C22×C61—41no—
348C22×C61—41no—
349C22×C61—42no—
350C22×C61—42no—
351C22×C61—42no—
352C22×C61—88no—
353C22×C61C2×#12011yescharacteristic
354C4×C61—21no—
355C4×C61—21no—
356C4×C61—21no—
357C4×C61—21no—
358C4×C61—41no—
359C4×C61—41no—
360C4×C61—41no—
361C4×C61—41no—
362C4×C61—41no—
363C4×C61—41no—
364C4×C61—42no—
365C4×C61C2×#13511yescharacteristic
366C4×C61C2×#13711yescharacteristic
367C4×C61#57511yescharacteristic
368C4×C61#57511yescharacteristic
369Dic61—81no—
370Dic61—81no—
371#3481D6111yescharacteristic
372#3210—611no—
373#3116—611no—
374#3076—611no—
375#1644—611no—
376#1643—611no—
377#1640—611no—
378#1639—611no—
379#1632—611no—
380#1632—611no—
381#1630—611no—
382#1629—611no—
383#1551—611no—
384#1488—611no—
385#1477—611no—
386C2×C61—41no—
387C2×C61—42no—
388C2×C61—42no—
389C2×C61—82no—
390C2×C61#300211yescharacteristic
391C2×C61#300711yescharacteristic
392C2×C61#301911yescharacteristic
393#559C2×D6111yescharacteristic
394#554C2×D6111yescharacteristic
395#554C2×D6111yescharacteristic
396#553—21no—
397#553—21no—
398#551—22no—
399#546—21no—
400#546—21no—
401D42C2×D6111yescharacteristic
402#533—611no—
403#532C2×D6111yescharacteristic
404#529—21no—
405#529—21no—
406#525—22no—
407C4×#41C2×D6111yescharacteristic
408C4×#41C2×D6111yescharacteristic
409C2×C4×D4—21no—
410C2×C4×D4—21no—
411#494—611no—
412#492—611no—
413#487—611no—
414#486—611no—
415#485—1221no—
416#479—1221no—
417#478—1221no—
418#477—611no—
419#477—611no—
420#476—611no—
421#476—611no—
422#475—611no—
423#474—611no—
424#464—1222no—
425#462—611no—
426#461—611no—
427#452—1221no—
428#452—1222no—
429#441—1221no—
430#440—1221no—
431#432—611no—
432#431—611no—
433#427—1221no—
434C2×C4⋊C8—611no—
435#416—1221no—
436#333—611no—
437#333—611no—
438#331—611no—
439#331—611no—
440Q8⋊C8—611no—
441Q8⋊C8—611no—
442Q8⋊C8—611no—
443Q8⋊C8—611no—
444D4⋊C8—611no—
445D4⋊C8—611no—
446D4⋊C8—611no—
447D4⋊C8—611no—
448C61#1875511yescharacteristic, complemented, Sylow
449C2×#41C22⋊D6111yescharacteristic
450C2×#41C22⋊D6111yescharacteristic
451C2×#41C22⋊D6112yes—
452C22×D4—21no—
453C22×D4—21no—
454C23×C4—22no—
455C2×Q16—1222no—
456C2×Q16—1221no—
457C2×SD16—1222no—
458C2×SD16—1221no—
459C22×C8—1221no—
460C4⋊Q8—611no—
461C4⋊Q8—611no—
462C4⋊Q8C22×D6111yescharacteristic
463#127C22×D6111yescharacteristic
464#126—22no—
465#126—22no—
466#125—21no—
467#125—21no—
468#125—1221no—
469#124—21no—
470#124—21no—
471#124C22⋊D6112yes—
472#123—22no—
473#123—22no—
474#123—22no—
475#123—22no—
476C22⋊Q8—22no—
477C22⋊Q8—22no—
478C22⋊Q8—21no—
479C22⋊Q8—21no—
480C22⋊Q8—1221no—
481C22⋊Q8—1221no—
482#121—22no—
483#121—22no—
484#121—21no—
485#121—21no—
486#121—21no—
487#121—21no—
488#120—22no—
489#120—22no—
490C4×Q8—1221no—
491C4×Q8—1221no—
492C4×Q8C22⋊D6111yescharacteristic
493C4×Q8C22⋊D6111yescharacteristic
494C4×Q8C22×D6111yescharacteristic
495C4×Q8C22×D6111yescharacteristic
496C4×D4—22no—
497C4×D4—22no—
498C4×D4—22no—
499C4×D4—22no—
500C4×D4—21no—
501C4×D4—21no—
502C4×D4—21no—
503C4×D4—21no—
504C4×D4—21no—
505C4×D4—21no—
506C4×D4—21no—
507C4×D4—21no—
508C4×D4—21no—
509C4×D4—21no—
510C4×D4C22⋊D6111yescharacteristic
511C4×D4C22⋊D6111yescharacteristic
512C4×D4C22×D6111yescharacteristic
513C4×D4C22×D6111yescharacteristic
514#117—22no—
515#117—21no—
516#117—21no—
517#117—1221no—
518#117C22⋊D6111yescharacteristic
519#117C22⋊D6111yescharacteristic
520C2×C4⋊C4—21no—
521C2×C4⋊C4—21no—
522C2×C22⋊C4—22no—
523C2×C22⋊C4—22no—
524C2×C42—21no—
525C2×C42—21no—
526C2×C42C22×D6111yescharacteristic
527#107—1221no—
528#107—1221no—
529#107—1221no—
530#106—1221no—
531#106—1221no—
532#106—1221no—
533C4⋊C8—611no—
534C4⋊C8—611no—
535C4⋊C8—611no—
536C4⋊C8—611no—
537C4⋊C8—1221no—
538C4⋊C8—1221no—
539#103—1221no—
540#103—1221no—
541#103—1221no—
542#103—1222no—
543#103—1221no—
544#103—1221no—
545#102—1221no—
546#102—1221no—
547#102—1221no—
548#102—1222no—
549C22⋊C8—1221no—
550C22⋊C8—1221no—
551#97—1221no—
552C4×C8—611no—
553C4×C8—611no—
554C24—22no—
555#41—22no—
556#41—22no—
557#41—41no—
558#41—41no—
559#41—82no—
560C2×Q8—1221no—
561C2×Q8—1221no—
562C2×Q8C2×C22⋊D6111yescharacteristic
563C2×Q8C2×C22⋊D6111yescharacteristic
564C2×Q8C2×C22⋊D6112yes—
565C2×D4—22no—
566C2×D4—22no—
567C2×D4—21no—
568C2×D4—21no—
569C2×D4—22no—
570C2×D4—21no—
571C2×D4—21no—
572C2×D4—42no—
573C2×D4—42no—
574C2×D4—42no—
575C2×D4—42no—
576C2×D4C2×C22⋊D6111yescharacteristic
577C2×D4C2×C22⋊D6111yescharacteristic
578C2×D4C2×C22⋊D6112yes—
579C22×C4—22no—
580C22×C4—22no—
581C22×C4—22no—
582C22×C4—21no—
583C22×C4—21no—
584C22×C4—21no—
585C22×C4—21no—
586C22×C4—21no—
587C22×C4—21no—
588C22×C4—22no—
589C22×C4—84no—
590C22×C4C2×C22⋊D6111yescharacteristic
591C22×C4C2×C22⋊D6111yescharacteristic
592C22×C4C2×C22⋊D6111yescharacteristic
593Q16—4882no—
594Q16—2442no—
595SD16—4882no—
596SD16—2442no—
597C2×C8—1221no—
598C2×C8—1221no—
599C2×C8—1221no—
600C2×C8—1221no—
601C2×C8—1221no—
602C2×C8—1221no—
603C2×C8—2442no—
604C4⋊C4—22no—
605C4⋊C4—22no—
606C4⋊C4—22no—
607C4⋊C4—22no—
608C4⋊C4—21no—
609C4⋊C4—21no—
610C4⋊C4—21no—
611C4⋊C4—21no—
612C4⋊C4—21no—
613C4⋊C4—21no—
614C4⋊C4—1221no—
615C4⋊C4—1221no—
616C4⋊C4—1221no—
617C4⋊C4—1221no—
618C4⋊C4—2441no—
619C4⋊C4—2441no—
620C4⋊C4C2×C22⋊D6111yescharacteristic
621C4⋊C4C2×C22⋊D6111yescharacteristic
622C4⋊C4C2×C22⋊D6111yescharacteristic
623C4⋊C4C2×C22⋊D6111yescharacteristic
624C22⋊C4—22no—
625C22⋊C4—22no—
626C22⋊C4—22no—
627C22⋊C4—22no—
628C22⋊C4—22no—
629C22⋊C4—22no—
630C22⋊C4—21no—
631C22⋊C4—21no—
632C22⋊C4—21no—
633C22⋊C4—21no—
634C22⋊C4—21no—
635C22⋊C4—21no—
636C22⋊C4—22no—
637C22⋊C4—22no—
638C22⋊C4—2441no—
639C42—21no—
640C42—21no—
641C42—21no—
642C42—21no—
643C42—21no—
644C42—21no—
645C42—2441no—
646C42C2×C22⋊D6111yescharacteristic
647C42C2×C22⋊D6111yescharacteristic
648C42C2×C22⋊D6111yescharacteristic
649C42C23×D6111yescharacteristic
650C23—21no—
651C23—21no—
652C23—22no—
653C23—44no—
654C23—44no—
655C23—82no—
656C23#1451974611yescharacteristic
657Q8—21no—
658Q8—21no—
659Q8—21no—
660Q8—21no—
661Q8—42no—
662Q8—2442no—
663Q8—2441no—
664Q8—2441no—
665D4—21no—
666D4—21no—
667D4—42no—
668D4—42no—
669D4—42no—
670D4—44no—
671D4—44no—
672D4—41no—
673D4—41no—
674D4—41no—
675D4—41no—
676D4—82no—
677D4#1451979712yes—
678D4#1451980712yes—
679C2×C4—21no—
680C2×C4—21no—
681C2×C4—21no—
682C2×C4—21no—
683C2×C4—21no—
684C2×C4—21no—
685C2×C4—21no—
686C2×C4—21no—
687C2×C4—21no—
688C2×C4—21no—
689C2×C4—22no—
690C2×C4—41no—
691C2×C4—42no—
692C2×C4—42no—
693C2×C4—42no—
694C2×C4—42no—
695C2×C4—44no—
696C2×C4—41no—
697C2×C4—41no—
698C2×C4—41no—
699C2×C4—41no—
700C2×C4—82no—
701C2×C4—82no—
702C2×C4—82no—
703C2×C4—2441no—
704C2×C4—2441no—
705C2×C4#1451974611yescharacteristic
706C2×C4#1451974611yescharacteristic
707C2×C4#1451974611yescharacteristic
708C2×C4C22×C22⋊D6111yescharacteristic
709C2×C4C22×C22⋊D6111yescharacteristic
710C2×C4C22×C22⋊D6111yescharacteristic
711C8—2441no—
712C8—2441no—
713C8—2441no—
714C8—2441no—
715C8—2441no—
716C8—2441no—
717C22—21no—
718C22—21no—
719C22—22no—
720C22—21no—
721C22—22no—
722C22—41no—
723C22—41no—
724C22—41no—
725C22—41no—
726C22—42no—
727C22—42no—
728C22—42no—
729C22—88no—
730C22C2×#1451974611yescharacteristic
731C4—21no—
732C4—21no—
733C4—21no—
734C4—21no—
735C4—41no—
736C4—41no—
737C4—42no—
738C4—41no—
739C4—41no—
740C4—41no—
741C4—41no—
742C4—4881no—
743C4—4881no—
744C4C2×#1451979711yescharacteristic
745C4C2×#1451980711yescharacteristic
746C4#1684056011yescharacteristic
747C4#1684056011yescharacteristic
748C2—41no—
749C2—42no—
750C2—42no—
751C2—82no—
752C2#2145503711yescharacteristic
753C2#2145507911yescharacteristic
754C2#2145517611yescharacteristic
subgroupG/H
centerC22C2×#14519746
commutator, cosocleC42×C61C24
FrattiniC42C23×D61
Fitting, prime radicalC61×#3481C2
socleC22×C61C2×#120
hypercenter#3481D61
hypocenterC61#18755
LCSG ▷ C42×C61 ▷ C22×C61 ▷ C61
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3481

Complements

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

NH ≅ G/Ntype
1. #21456775C2semidirect
2. #21455981C2semidirect
3. #21455607C2semidirect
4. #21445033C2semidirect
5. #21445026C2semidirect
6. #21445005C2semidirect
7. #21444998C2semidirect
8. #21444953C2semidirect
9. #21444953C2semidirect
10. #21444940C2semidirect
11. #21444935C2semidirect
12. #21444514C2semidirect
13. #21444253C2semidirect
14. #21444206C2semidirect
16. #16840319C22semidirect
17. #16840141C22semidirect
19. #16840112C22semidirect
24. #16840057C22semidirect
25. #16840057C22semidirect
28. #16840047C22semidirect
31. #16839972C22semidirect
37. #16839819C22semidirect
38. #16839815C22semidirect
40. C2×C4⋊#92418C22semidirect
42. #16839511C22semidirect
43. #16839511C22semidirect
46. Q8⋊#92418C22semidirect
47. Q8⋊#92418C22semidirect
48. Q8⋊#92418C22semidirect
49. Q8⋊#92418C22semidirect
448. C61#18755semidirect

Maximal subgroups

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

subgroupindex
#214567752
#214559812
#214556072
#214450332
#214450262
#214450052
#214449982
#214449532
#214449402
#214449352
#214445142
#214442532
#214442062
C61×#34812
#1875561