Finite Group Databasebeta

← #30615954

Subgroups — #30615954

Order 15616.

1122 conjugacy classes of subgroups.

The subgroup lattice has 766 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840753C211yesmaximal, characteristic
2C2×#16840725C211yesmaximal, characteristic, complemented
3#21462300C211yesmaximal, characteristic, complemented
4#21462294C211yesmaximal, characteristic
5#21461911C212yesmaximal, complemented
6#21461910C212yesmaximal, complemented
7#21461909C212yesmaximal, complemented
8#21461908C212yesmaximal, complemented
9#21461508C211yesmaximal, characteristic, complemented
10C2×#16840636C211yesmaximal, characteristic, complemented
11#416×D61C211yesmaximal, characteristic
12C2×D61⋊M16C2211yescharacteristic
13C2×#14519856C2211yescharacteristic
14C22×C4⋊#6923C2211yescharacteristic
15C22×C4⋊#6923C2211yescharacteristic
16#16840753—24no—
17C2×#14519840C2212yes—
18C2×#14519839C2212yes—
19#16840725—24no—
20C2×#14519831C2212yes—
21C2×C8×#6923C2212yes—
22(C2×#6923)⋊Q8C2212yes—
23#16840714C2212yes—
24#16840713C2212yes—
25#16840713C2212yes—
26#16840710—22no—
27#16840709—22no—
28#16840708—21no—
29#16840706—21no—
30#16840704—21no—
31#16840704—21no—
32#16840636C2212yes—
33#16840636C2212yes—
34#16840635C2212yes—
35#16840635C2212yes—
36C2×#41×D61C2211yescharacteristic
37C22×C8×D61C2211yescharacteristic
38#117×D61C2211yescharacteristic
39#16839759C411yescharacteristic, complemented
40#16839758C411yescharacteristic, complemented
41#16839757C411yescharacteristic, complemented
42#16839757C411yescharacteristic, complemented
43#16839756C411yescharacteristic, complemented
44#16839755C411yescharacteristic, complemented
45#16839755C411yescharacteristic, complemented
46#103×D61C2211yescharacteristic
47#103×D61C2211yescharacteristic
48#102×D61C2211yescharacteristic
49#102×D61C2211yescharacteristic
50C61×#416C411yescharacteristic, complemented
51C23×#6923—21no—
52C23×#6923—21no—
53C2×#11758213—21no—
54D61⋊M16—22no—
55D61⋊M16D414yes—
56C2×#11758217—21no—
57C2×D61⋊C8C2312yes—
58#14519856—22no—
59#14519856—22no—
60C2×C4⋊#6923—22no—
61C2×C4⋊#6923—22no—
62C2×C4⋊#6923—22no—
63C2×C4⋊#6923—22no—
64C2×C4⋊#6923—21no—
65C2×C4⋊#6923—21no—
66C2×C4⋊#6923—22no—
67C2×C4⋊#6923—22no—
68C2×C4⋊#6923D411yescharacteristic
69C2×C4⋊#6923D411yescharacteristic
70C2×C4⋊#6923C2312yes—
71C2×C4⋊#6923C2312yes—
72C2×C22⋊#6923—22no—
73C2×C22⋊#6923—22no—
74C2×C22⋊#6923D412yes—
75C2×C4×#6923C2312yes—
76#14519840—24no—
77#14519839—24no—
78#14519831—24no—
79C8×#6923—24no—
80(C2×#6923)⋊C4—22no—
81(C2×#6923)⋊C4—22no—
82(C2×#6923)⋊C4—22no—
83(C2×#6923)⋊C4—22no—
84C2×#11758226C2×C411yescharacteristic
85C2×#11758222—21no—
86C2×#11758222C2×C411yescharacteristic
87C2×#11758224—21no—
88C2×#11758224C2×C411yescharacteristic
89#41×D61—22no—
90#41×D61—22no—
91#41×D61—22no—
92#41×D61—22no—
93C2×Q8×D61C2311yescharacteristic
94C2×D4×D61—21no—
95C2×D4×D61C2311yescharacteristic
96C22×C4×D61—21no—
97C22×C4×D61C2311yescharacteristic
98C22×#92418C2×C411yescharacteristic
99C2×C8×D61—22no—
100C2×C8×D61—22no—
101C2×C8×D61C2×C411yescharacteristic
102C2×C8×D61C2×C411yescharacteristic
103C2×C8×D61C2311yescharacteristic
104C2×C8×D61C2311yescharacteristic
105#14519736C2×C411yescharacteristic
106#14519735C2×C411yescharacteristic
107#14519735C2×C411yescharacteristic
108#14519734—21no—
109#14519733—21no—
110C4⋊C4×D61C2311yescharacteristic
111C4⋊C4×D61C2311yescharacteristic
112C22⋊C4×D61—21no—
113C42×D61—21no—
114#14519702C2×C411yescharacteristic, complemented
115#14519702C2×C411yescharacteristic, complemented
116#14519701C2×C411yescharacteristic, complemented
117#14519701C2×C411yescharacteristic, complemented
118#14519700C2×C411yescharacteristic, complemented
119#14519700C2×C411yescharacteristic, complemented
120#14519699C2×C411yescharacteristic, complemented
121#14519699C2×C411yescharacteristic, complemented
122#14519698C2×C411yescharacteristic, complemented
123#14519698C2×C411yescharacteristic, complemented
124#14519697C2×C411yescharacteristic, complemented
125#14519697C2×C411yescharacteristic, complemented
126C2×#41×C61C2×C411yescharacteristic
127C22×C8×C61C2×C411yescharacteristic
128#117×C61C2×C411yescharacteristic
129#103×C61C2×C411yescharacteristic, complemented
130#103×C61C2×C411yescharacteristic, complemented
131#102×C61C2×C411yescharacteristic, complemented
132#102×C61C2×C411yescharacteristic, complemented
133C23×D61—21no—
134C23×D61C2×D411yescharacteristic
135C22×#6923—22no—
136C22×#6923—22no—
137C22×#6923—42no—
138C22×#6923—42no—
139C22×#6923—81no—
140C22×#6923—81no—
141C22×#6923—81no—
142C22×#6923—81no—
143C22×#6923C2×D412yes—
144C22×#6923C2×D412yes—
145#41×C61—22no—
146#41×C61—22no—
147C2×Q8×C61C22×C411yescharacteristic
148C2×D4×C61—21no—
149C2×D4×C61C22×C411yescharacteristic
150C22×C4×C61—21no—
151C22×C4×C61C22×C411yescharacteristic
152C2×C22⋊D61—21no—
153C2×C22⋊D61—21no—
154C2×C22⋊D61—21no—
155C22×Dic61—21no—
156C22×Dic61#4111yescharacteristic
157#11758226—22no—
158#11758226—22no—
159Q8×D61—21no—
160Q8×D61—21no—
161Q8×D61—21no—
162Q8×D61—21no—
163#11758224—22no—
164#11758224—22no—
165#11758224—42no—
166#11758224—42no—
167D4×D61—21no—
168D4×D61—21no—
169D4×D61—21no—
170D4×D61—21no—
171D4×D61—42no—
172D4×D61—42no—
173#11758222—22no—
174#11758222—22no—
175#11758222—42no—
176#11758222—42no—
177C2×D244—21no—
178C2×D244C22×C411yescharacteristic
179C2×C4×D61—21no—
180C2×C4×D61—21no—
181C2×C4×D61—21no—
182C2×C4×D61—21no—
183C2×C4×D61—21no—
184C2×C4×D61—42no—
185C2×C4×D61—42no—
186C2×C4×D61C22×C411yescharacteristic
187C2×C4×D61C2×D412yes—
188C2×C4×D61C2×D411yescharacteristic
189C2×C4×D61#4112yes—
190C2×C4×D61#4112yes—
191C2×C4×D61#4112yes—
192C2×C4×D61#4111yescharacteristic
193C2×C4×D61C2411yescharacteristic
194C2×Dic122—21no—
195C2×Dic122C22×C411yescharacteristic
196C22⋊#6923—24no—
197C22⋊#6923—82no—
198C22⋊#6923—82no—
199#11758217—24no—
200C2×#92420—22no—
201C4⋊#6923—22no—
202C4⋊#6923—22no—
203C4⋊#6923—22no—
204C4⋊#6923—22no—
205C4⋊#6923—22no—
206C4⋊#6923—22no—
207C4⋊#6923—42no—
208C4⋊#6923—42no—
209C4⋊#6923—82no—
210C4⋊#6923—82no—
211C4×#6923—22no—
212C4×#6923—22no—
213#11758213—24no—
214D61⋊C8—22no—
215D61⋊C8C2×D414yes—
216C2×C8×C61—22no—
217C2×C8×C61C22×C411yescharacteristic
218C2×C8×C61C22×C411yescharacteristic
219C4⋊C4×C61C22×C411yescharacteristic
220C4⋊C4×C61C22×C411yescharacteristic
221C22⋊C4×C61—21no—
222C42×C61—21no—
223C22⋊Dic61—21no—
224#11758198—21no—
225#11758198—21no—
226C4⋊Dic61C22×C411yescharacteristic
227C4⋊Dic61C22×C411yescharacteristic
228#11758196—21no—
229#11758196—21no—
230C4×Dic61—21no—
231C4×Dic61—21no—
232C4×Dic61—21no—
233C2×#92418—22no—
234C2×#92418C22×C411yescharacteristic
235C2×#92418C22×C411yescharacteristic
236C8×D61—22no—
237C8×D61—22no—
238C8×D61—21no—
239C8×D61—21no—
240C8×D61—21no—
241C8×D61—21no—
242C23×C61—21no—
243C23×C61C4×D411yescharacteristic
244C22×D61—21no—
245C22×D61—21no—
246C22×D61—21no—
247C22×D61—21no—
248C22×D61—21no—
249C22×D61—41no—
250C22×D61—41no—
251C22×D61—41no—
252C22×D61—41no—
253C22×D61—41no—
254C22×D61—41no—
255C22×D61C4×D411yescharacteristic
256C22×D61#12112yes—
257C22×D61#12412yes—
258C22×D61C22×D411yescharacteristic
259C2×#6923—22no—
260C2×#6923—22no—
261C2×#6923—22no—
262C2×#6923—22no—
263C2×#6923—22no—
264C2×#6923—22no—
265C2×#6923—42no—
266C2×#6923—42no—
267C2×#6923—42no—
268C2×#6923—42no—
269C2×#6923—42no—
270C2×#6923—42no—
271C2×#6923—84no—
272C2×#6923—84no—
273Q8×C61—21no—
274Q8×C61—21no—
275D4×C61—21no—
276D4×C61—21no—
277D4×C61—42no—
278C2×C4×C61—21no—
279C2×C4×C61—21no—
280C2×C4×C61—21no—
281C2×C4×C61—42no—
282C2×C4×C61#11712yes—
283C2×C4×C61C4×D412yes—
284C2×C4×C61C4×D411yescharacteristic
285C2×C4×C61C23×C411yescharacteristic
286C22⋊D61—42no—
287C22⋊D61—42no—
288C22⋊D61—41no—
289C22⋊D61—41no—
290C2×Dic61—21no—
291C2×Dic61—21no—
292C2×Dic61—21no—
293C2×Dic61—42no—
294C2×Dic61C4×D411yescharacteristic
295C2×Dic61#12312yes—
296C2×Dic61#12612yes—
297C2×Dic61C2×#4111yescharacteristic
298D244—21no—
299D244—21no—
300D244—42no—
301C4×D61—41no—
302C4×D61—41no—
303C4×D61—41no—
304C4×D61—41no—
305C4×D61—41no—
306C4×D61—41no—
307C4×D61—42no—
308C4×D61—42no—
309C4×D61#11712yes—
310C4×D61C4×D412yes—
311C4×D61#12112yes—
312C4×D61#12312yes—
313C4×D61#12412yes—
314C4×D61#12612yes—
315C4×D61C22×D411yescharacteristic
316C4×D61C2×#4111yescharacteristic
317C4×D61C2×#4111yescharacteristic
318C4×D61C2×#4111yescharacteristic
319Dic122—21no—
320Dic122—21no—
321Dic122—41no—
322Dic122—41no—
323#92420—24no—
324C8×C61—21no—
325C8×C61—21no—
326#92418—21no—
327#92418—21no—
328#21087—611nomaximal, Sylow
329C22×C61—21no—
330C22×C61—21no—
331C22×C61—41no—
332C22×C61—41no—
333C22×C61—41no—
334C22×C61#38812yes—
335C22×C61C2×C4×D411yescharacteristic
336C2×D61—21no—
337C2×D61—21no—
338C2×D61—22no—
339C2×D61—22no—
340C2×D61—22no—
341C2×D61—22no—
342C2×D61—41no—
343C2×D61—41no—
344C2×D61—41no—
345C2×D61—81no—
346C2×D61—81no—
347C2×D61—81no—
348C2×D61—81no—
349C2×D61#38812yes—
350C2×D61C2×#12111yescharacteristic
351C2×D61C2×#12411yescharacteristic
352C2×D61#57611yescharacteristic
353C2×D61#57711yescharacteristic
354C2×D61#57711yescharacteristic
355C2×D61#57811yescharacteristic
356#6923—42no—
357#6923—42no—
358#6923—82no—
359#6923—82no—
360C4×C61—41no—
361C4×C61—41no—
362C4×C61—41no—
363C4×C61#38812yes—
364C4×C61C2×#11711yescharacteristic
365C4×C61C2×C4×D411yescharacteristic
366Dic61—41no—
367Dic61—41no—
368Dic61—41no—
369Dic61#38812yes—
370Dic61C2×#12311yescharacteristic
371Dic61C2×#12611yescharacteristic
372C2×#417—611no—
373C2×#416—611no—
374C2×#405—611no—
375#2317—611no—
376#2311—611no—
377#1936—612no—
378#1935—612no—
379#1934—612no—
380#1933—612no—
381#1736—611no—
382C2×#340—611no—
383C2×C61—22no—
384C2×C61—81no—
385C2×C61C2×#38811yescharacteristic
386C2×C61#295111yescharacteristic
387C2×C61#295211yescharacteristic
388D61—22no—
389D61—81no—
390D61#306211yescharacteristic
391D61#306311yescharacteristic
392D61#313611yescharacteristic
393D61#313711yescharacteristic
394C22×#41—611no—
395C22×M16—611no—
396C23×C8—611no—
397C2×#117—611no—
398C2×#117—611no—
399C22×C4⋊C4—611no—
400C22×C4⋊C4—611no—
401#417—1224no—
402#416—611no—
403#416—611no—
404#416—611no—
405#416—611no—
406#416—611no—
407#416—611no—
408#416—611no—
409#416#692311yescharacteristic, complemented
410C2×#103—611no—
411C2×#103—611no—
412C2×#103—612no—
413C2×#102—611no—
414C2×#102—611no—
415C2×#102—612no—
416#405—1224no—
417C2×#97—612no—
418C2×C4×C8—612no—
419#391—612no—
420#390—612no—
421#389—612no—
422#389—612no—
423#386—1222no—
424#385—1222no—
425#384—1221no—
426#382—1221no—
427#380—1221no—
428#380—1221no—
429#340—612no—
430#340—612no—
431#340—612no—
432#340—612no—
433C61#2108711yescharacteristic, complemented, Sylow
434C2×#41—611no—
435C2×#41—611no—
436C2×#41—611no—
437C2×#41—1221no—
438C2×#41—1221no—
439C2×#41—1222no—
440C2×#41—1222no—
441C2×#41—1222no—
442C2×#41—1222no—
443C2×#41C2×#692311yescharacteristic
444C22×Q8—611no—
445C22×D4—611no—
446C22×D4—1221no—
447C23×C4—611no—
448C23×C4—1221no—
449C23×C4—1221no—
450C23×C4—1221no—
451C2×M16—614no—
452C2×M16—1221no—
453C2×M16—1222no—
454C2×M16—1221no—
455C22×C8—612no—
456C22×C8—611no—
457C22×C8—611no—
458C22×C8—611no—
459C22×C8—611no—
460C22×C8—611no—
461C22×C8—1222no—
462C22×C8—1222no—
463C22×C8C2×#692311yescharacteristic
464#117—611no—
465#117—611no—
466#117—611no—
467#117—1221no—
468#117—1221no—
469#117—1222no—
470#117—1222no—
471#117C2×#692311yescharacteristic
472C2×C4⋊C4—611no—
473C2×C4⋊C4—611no—
474C2×C4⋊C4—611no—
475C2×C4⋊C4—611no—
476C2×C4⋊C4—612no—
477C2×C4⋊C4—612no—
478C2×C4⋊C4—1222no—
479C2×C4⋊C4—1222no—
480C2×C4⋊C4—1222no—
481C2×C4⋊C4—1222no—
482C2×C4⋊C4—1222no—
483C2×C4⋊C4—1222no—
484C2×C4⋊C4—1221no—
485C2×C4⋊C4—1221no—
486C2×C22⋊C4—612no—
487C2×C22⋊C4—1221no—
488C2×C22⋊C4—1222no—
489C2×C22⋊C4—1222no—
490C2×C42—612no—
491C2×C42—1221no—
492#103—611no—
493#103—611no—
494#103—611no—
495#103—611no—
496#103—611no—
497#103—611no—
498#103—1224no—
499#103C2×#692311yescharacteristic, complemented
500#103C2×#692311yescharacteristic, complemented
501#102—611no—
502#102—611no—
503#102—611no—
504#102—611no—
505#102—611no—
506#102—611no—
507#102—1224no—
508#102C2×#692311yescharacteristic, complemented
509#102C2×#692311yescharacteristic, complemented
510#97—1224no—
511C4×C8—1224no—
512#95—1222no—
513#95—1222no—
514#95—1222no—
515#95—1222no—
516C24—611no—
517C24—1221no—
518#41—22no—
519#41—22no—
520#41—1222no—
521#41—1222no—
522#41—1222no—
523#41—1222no—
524#41—1222no—
525#41—1222no—
526#41—2442no—
527#41—2442no—
528#41—2442no—
529#41—2442no—
530C2×Q8—611no—
531C2×Q8—1221no—
532C2×Q8—1221no—
533C2×Q8—1221no—
534C2×Q8—1221no—
535C2×Q8—1221no—
536C2×Q8C22×#692311yescharacteristic
537C2×D4—21no—
538C2×D4—611no—
539C2×D4—1221no—
540C2×D4—1221no—
541C2×D4—1221no—
542C2×D4—1221no—
543C2×D4—1221no—
544C2×D4—1221no—
545C2×D4—1221no—
546C2×D4—1221no—
547C2×D4—2442no—
548C2×D4—2442no—
549C2×D4C22×#692311yescharacteristic
550C22×C4—21no—
551C22×C4—611no—
552C22×C4—612no—
553C22×C4—612no—
554C22×C4—611no—
555C22×C4—612no—
556C22×C4—612no—
557C22×C4—611no—
558C22×C4—611no—
559C22×C4—611no—
560C22×C4—612no—
561C22×C4—612no—
562C22×C4—1221no—
563C22×C4—1221no—
564C22×C4—1221no—
565C22×C4—1221no—
566C22×C4—1221no—
567C22×C4—1221no—
568C22×C4—1222no—
569C22×C4—1222no—
570C22×C4—4881no—
571C22×C4—4881no—
572C22×C4—4881no—
573C22×C4—4881no—
574C22×C4—2442no—
575C22×C4—2442no—
576C22×C4—2442no—
577C22×C4—2442no—
578C22×C4C22×#692311yescharacteristic
579M16—1224no—
580M16—1224no—
581C2×C8—22no—
582C2×C8—614no—
583C2×C8—611no—
584C2×C8—611no—
585C2×C8—1221no—
586C2×C8—1221no—
587C2×C8—1222no—
588C2×C8—1222no—
589C2×C8—1221no—
590C2×C8—1221no—
591C2×C8—1222no—
592C2×C8—1222no—
593C2×C8—1222no—
594C2×C8C22×#692311yescharacteristic
595C2×C8C22×#692311yescharacteristic
596C4⋊C4—611no—
597C4⋊C4—611no—
598C4⋊C4—1221no—
599C4⋊C4—1221no—
600C4⋊C4—1222no—
601C4⋊C4—1222no—
602C4⋊C4—1222no—
603C4⋊C4—1222no—
604C4⋊C4—1222no—
605C4⋊C4—1222no—
606C4⋊C4—4882no—
607C4⋊C4—4882no—
608C4⋊C4—2442no—
609C4⋊C4—2442no—
610C4⋊C4C22×#692311yescharacteristic
611C4⋊C4C22×#692311yescharacteristic
612C22⋊C4—21no—
613C22⋊C4—1221no—
614C22⋊C4—1221no—
615C22⋊C4—1224no—
616C22⋊C4—1221no—
617C22⋊C4—4882no—
618C22⋊C4—4882no—
619C42—21no—
620C42—1221no—
621C42—1221no—
622C42—1222no—
623C42—1222no—
624C42—1221no—
625C23—21no—
626C23—611no—
627C23—612no—
628C23—612no—
629C23—611no—
630C23—1221no—
631C23—1221no—
632C23—1221no—
633C23—1221no—
634C23—1221no—
635C23—2441no—
636C23—2441no—
637C23—2441no—
638C23—2441no—
639C23—2441no—
640C23—2441no—
641C23D4×#692311yescharacteristic
642Q8—21no—
643Q8—21no—
644Q8—1221no—
645Q8—1221no—
646Q8—2441no—
647Q8—2441no—
648D4—21no—
649D4—21no—
650D4—42no—
651D4—1221no—
652D4—1221no—
653D4—2442no—
654D4—2441no—
655D4—2441no—
656D4—2442no—
657D4—2442no—
658C2×C4—21no—
659C2×C4—21no—
660C2×C4—21no—
661C2×C4—42no—
662C2×C4—612no—
663C2×C4—612no—
664C2×C4—611no—
665C2×C4—611no—
666C2×C4—612no—
667C2×C4—612no—
668C2×C4—612no—
669C2×C4—612no—
670C2×C4—612no—
671C2×C4—611no—
672C2×C4—611no—
673C2×C4—612no—
674C2×C4—611no—
675C2×C4—611no—
676C2×C4—1222no—
677C2×C4—1222no—
678C2×C4—1222no—
679C2×C4—1222no—
680C2×C4—1222no—
681C2×C4—1222no—
682C2×C4—1221no—
683C2×C4—1221no—
684C2×C4—1221no—
685C2×C4—4884no—
686C2×C4—4884no—
687C2×C4—2442no—
688C2×C4—2441no—
689C2×C4—2441no—
690C2×C4—2441no—
691C2×C4—2441no—
692C2×C4—2441no—
693C2×C4—2441no—
694C2×C4—2442no—
695C2×C4—2442no—
696C2×C4—2442no—
697C2×C4—2442no—
698C2×C4—2442no—
699C2×C4—2442no—
700C2×C4—2442no—
701C2×C4—2442no—
702C2×C4#1451985612yes—
703C2×C4D4×#692311yescharacteristic
704C2×C4D4×#692312yes—
705C2×C4C23×#692311yescharacteristic
706C8—21no—
707C8—21no—
708C8—1224no—
709C8—1221no—
710C8—1221no—
711C22—21no—
712C22—21no—
713C22—41no—
714C22—41no—
715C22—41no—
716C22—611no—
717C22—611no—
718C22—611no—
719C22—611no—
720C22—611no—
721C22—611no—
722C22—612no—
723C22—1222no—
724C22—1222no—
725C22—1222no—
726C22—1222no—
727C22—1221no—
728C22—1221no—
729C22—4881no—
730C22—4881no—
731C22—4881no—
732C22—4881no—
733C22—2441no—
734C22—2441no—
735C22—2441no—
736C22#1684071212yes—
737C22C2×D4×#692311yescharacteristic
738C4—41no—
739C4—41no—
740C4—41no—
741C4—611no—
742C4—611no—
743C4—612no—
744C4—4882no—
745C4—4882no—
746C4—2442no—
747C4—2442no—
748C4—2441no—
749C4—2441no—
750C4—2441no—
751C4#1684071212yes—
752C4C2×#1451985611yescharacteristic
753C4C2×D4×#692311yescharacteristic
754C2—22no—
755C2—81no—
756C2—611no—
757C2—611no—
758C2—611no—
759C2—611no—
760C2—1222no—
761C2—4881no—
762C2C2×#1684071211yescharacteristic
763C2#2146258111yescharacteristic
764C2#2146258211yescharacteristic
subgroupG/H
centerC22C2×D4×#6923
commutatorC2×C4×C61C23×C4
FrattiniC2×C4C23×#6923
FittingC61×#416C4
socleC22×C61C2×C4×D4
prime radicalC2×#41×D61C22
cosocleC2×C4×D61C24
hypercenter#416#6923
hypocenterC61#21087
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C22×C4 ◁ #416

Complements

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

NH ≅ G/Ntype
2. C2×#16840725C2semidirect
3. #21462300C2semidirect
5. #21461911C2semidirect
6. #21461910C2semidirect
7. #21461909C2semidirect
8. #21461908C2semidirect
9. #21461508C2semidirect
10. C2×#16840636C2semidirect
39. #16839759C4semidirect
40. #16839758C4semidirect
41. #16839757C4semidirect
42. #16839757C4semidirect
43. #16839756C4semidirect
44. #16839755C4semidirect
45. #16839755C4semidirect
50. C61×#416C4semidirect
114. #14519702C2×C4semidirect
115. #14519702C2×C4semidirect
116. #14519701C2×C4semidirect
117. #14519701C2×C4semidirect
118. #14519700C2×C4semidirect
119. #14519700C2×C4semidirect
120. #14519699C2×C4semidirect
121. #14519699C2×C4semidirect
122. #14519698C2×C4semidirect
123. #14519698C2×C4semidirect
124. #14519697C2×C4semidirect
125. #14519697C2×C4semidirect
129. #103×C61C2×C4semidirect
130. #103×C61C2×C4semidirect
131. #102×C61C2×C4semidirect
132. #102×C61C2×C4semidirect
409. #416#6923semidirect
433. C61#21087semidirect
499. #103C2×#6923semidirect
500. #103C2×#6923semidirect
508. #102C2×#6923semidirect
509. #102C2×#6923semidirect

Maximal subgroups

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

subgroupindex
C2×#168407532
C2×#168407252
#214623002
#214622942
#214619112
#214619102
#214619092
#214619082
#214615082
C2×#168406362
#416×D612
#2108761