Finite Group Databasebeta

← C2×#21461781 #30615503

Subgroups — C2×#21461781 #30615503

Order 15616.

1358 conjugacy classes of subgroups.

The subgroup lattice has 778 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840841C211yesmaximal, characteristic
2C2×#16840777C211yesmaximal, characteristic, complemented
3C2×#16840767C211yesmaximal, characteristic, complemented
4C2×#16840759C211yesmaximal, characteristic
5#21461781C218yesmaximal, direct product factor
6C2×#16840645C211yesmaximal, characteristic, complemented
7C2×#16840633C211yesmaximal, characteristic, complemented
8C2×#104×D61C211yesmaximal, characteristic
9#16840841—22no—
10#16840841—22no—
11#16840841—22no—
12#16840841C2214yes—
13C2×#14519865—21no—
14C2×#14519864—22no—
15C2×#14519864—21no—
16C22×#11758213—21no—
17C22×#11758213C2211yescharacteristic
18C22×#11758213C2211yescharacteristic
19C2×D61⋊M16—21no—
20C2×D61⋊M16C2211yescharacteristic
21C2×#14519856C2211yescharacteristic
22#16840777—22no—
23#16840777C2214yescomplemented
24C2×#14519848—21no—
25C2×#14519847—21no—
26#16840767—22no—
27#16840767C2214yescomplemented
28C2×#14519844—22no—
29#16840759—22no—
30#16840759C2214yes—
31C2×#14519842—21no—
32C2×#14519841—21no—
33#16840645C2214yescomplemented
34#16840633C2214yescomplemented
35C2×#41×D61C2211yescharacteristic
36C2×M16×D61C2211yescharacteristic
37C2×C42×D61C2211yescharacteristic
38C2×#14519705C411yescharacteristic, complemented
39C2×#14519704C411yescharacteristic, complemented
40C2×#14519703C411yescharacteristic, complemented
41#104×D61C414yescomplemented
42#104×D61C2214yes—
43C2×#104×C61C411yescharacteristic, complemented
44#14519865—24no—
45#14519865—24no—
46#14519864—28no—
47#14519864—24no—
48#14519864—24no—
49#14519864—28no—
50C2×#11758213—22no—
51C2×#11758213—24no—
52C2×#11758213—21no—
53C2×#11758213—21no—
54C2×#11758213—21no—
55C2×#11758213—21no—
56C2×#11758213—24no—
57C2×#11758213—21no—
58C2×#11758213—21no—
59C2×#11758213—21no—
60C2×#11758213—21no—
61C2×#11758213—21no—
62C2×#11758213D412yes—
63C2×#11758213D411yescharacteristic
64C2×#11758213D411yescharacteristic
65C2×#11758213C2312yes—
66C2×#11758213C2312yes—
67D61⋊M16—24no—
68D61⋊M16—21no—
69D61⋊M16—21no—
70D61⋊M16—24no—
71D61⋊M16D412yes—
72D61⋊M16C2312yes—
73C2×#11758217—22no—
74C2×#11758217—21no—
75C2×D61⋊C8—22no—
76C2×D61⋊C8—21no—
77C22×#92420—22no—
78C22×#92420—21no—
79C22×#92420D412yes—
80#14519856—21no—
81#14519856—21no—
82#14519856—21no—
83#14519856C2312yes—
84C2×C4⋊#6923—21no—
85C2×C22⋊#6923—21no—
86C2×C4×#6923—21no—
87#14519848—24no—
88#14519847—24no—
89#14519844—28no—
90#14519842—24no—
91#14519841—24no—
92C2×#11758226D411yescharacteristic
93C2×#11758222—21no—
94C2×#11758222C2×C411yescharacteristic
95C2×#11758224—21no—
96C2×#11758224D411yescharacteristic
97#41×D61—21no—
98#41×D61—21no—
99#41×D61—21no—
100#41×D61—21no—
101#41×D61C2×C412yes—
102#41×D61D412yes—
103#41×D61Q812yes—
104#41×D61C2312yes—
105C2×Q8×D61Q811yescharacteristic
106C2×D4×D61—21no—
107C2×D4×D61Q811yescharacteristic
108C22×C4×D61—21no—
109C22×C4×D61—21no—
110C22×C4×D61C2311yescharacteristic
111C2×#11758194C2×C411yescharacteristic
112C2×#11758189—21no—
113M16×D61—21no—
114M16×D61—21no—
115M16×D61C2×C412yes—
116M16×D61C2312yes—
117C2×C8×D61—21no—
118C2×C4×Dic61—21no—
119C2×C4×Dic61C2×C411yescharacteristic
120C42×D61—21no—
121C42×D61—21no—
122C42×D61C2×C412yes—
123C42×D61C2312yes—
124#14519705C2×C414yescomplemented
125#14519704C2×C414yescomplemented
126#14519703C2×C414yescomplemented
127C2×#41×C61C2×C411yescharacteristic
128C2×M16×C61C2×C411yescharacteristic
129C2×C42×C61C2×C411yescharacteristic
130#104×C61C2×C414yescomplemented
131C23×D61—21no—
132C23×D61#4111yescharacteristic
133C22×#6923—41no—
134#41×C61—21no—
135#41×C61—21no—
136#41×C61C4⋊C412yes—
137#41×C61C22×C412yes—
138C2×Q8×C61C4⋊C411yescharacteristic
139C2×D4×C61—21no—
140C2×D4×C61C4⋊C411yescharacteristic
141C22×C4×C61—21no—
142C22×C4×C61—21no—
143C22×C4×C61C22×C411yescharacteristic
144C2×C22⋊D61—21no—
145C2×C22⋊D61—21no—
146C2×C22⋊D61—21no—
147C22×Dic61—21no—
148C22×Dic61—21no—
149C22×Dic61C2×D411yescharacteristic
150#11758226—21no—
151#11758226—21no—
152#11758226C4⋊C412yes—
153#11758226C2×D412yes—
154Q8×D61—21no—
155Q8×D61—21no—
156Q8×D61C4⋊C412yes—
157Q8×D61C2×Q812yes—
158#11758224—22no—
159#11758224—22no—
160#11758224—22no—
161#11758224—22no—
162#11758224—21no—
163#11758224—21no—
164#11758224C4⋊C412yes—
165#11758224C2×D412yes—
166D4×D61—22no—
167D4×D61—22no—
168D4×D61—22no—
169D4×D61—22no—
170D4×D61—21no—
171D4×D61—21no—
172D4×D61C4⋊C412yes—
173D4×D61C2×Q812yes—
174#11758222—21no—
175#11758222—21no—
176#11758222—22no—
177#11758222—22no—
178#11758222—22no—
179#11758222—22no—
180#11758222C4⋊C412yes—
181#11758222C22×C412yes—
182C2×D244—21no—
183C2×D244C4⋊C411yescharacteristic
184C2×C4×D61—21no—
185C2×C4×D61—21no—
186C2×C4×D61—21no—
187C2×C4×D61—22no—
188C2×C4×D61—22no—
189C2×C4×D61—22no—
190C2×C4×D61—22no—
191C2×C4×D61—22no—
192C2×C4×D61—22no—
193C2×C4×D61—44no—
194C2×C4×D61C22×C411yescharacteristic
195C2×C4×D61C2×D411yescharacteristic
196C2×C4×D61C2×D411yescharacteristic
197C2×C4×D61C2×D411yescharacteristic
198C2×C4×D61C2×D411yescharacteristic
199C2×C4×D61C2×D411yescharacteristic
200C2×C4×D61C2×Q811yescharacteristic
201C2×C4×D61C2×Q811yescharacteristic
202C2×C4×D61#4111yescharacteristic
203C2×C4×D61#4111yescharacteristic
204C2×C4×D61#4111yescharacteristic
205C2×C4×D61C2411yescharacteristic
206C2×Dic122—21no—
207C2×Dic122C4⋊C411yescharacteristic
208C22⋊#6923—22no—
209C22⋊#6923—41no—
210#11758217—28no—
211#11758217—22no—
212#11758217—22no—
213C2×#92420—28no—
214C2×#92420—21no—
215C2×#92420—22no—
216C2×#92420—22no—
217C2×#92420—21no—
218C2×#92420—22no—
219C2×#92420—41no—
220C2×#92420—41no—
221C2×#92420C2×D414yes—
222C4⋊#6923—22no—
223C4⋊#6923—41no—
224C4×#6923—22no—
225C4×#6923—41no—
226#11758213—28no—
227#11758213—21no—
228#11758213—22no—
229#11758213—21no—
230#11758213—22no—
231#11758213—22no—
232#11758213—22no—
233#11758213—22no—
234#11758213—22no—
235#11758213—41no—
236#11758213—41no—
237#11758213C2×D412yes—
238#11758213C2×D412yes—
239D61⋊C8—28no—
240D61⋊C8—22no—
241D61⋊C8—22no—
242M16×C61—21no—
243M16×C61C22×C412yes—
244C2×C8×C61—21no—
245C42×C61—21no—
246C42×C61C22×C412yes—
247C4×Dic61—21no—
248C4×Dic61—22no—
249C4×Dic61—22no—
250C4×Dic61C22×C412yes—
251#11758194—21no—
252#11758194C22×C412yes—
253C2×#92418—21no—
254#11758189—22no—
255#11758189—22no—
256C8×D61—22no—
257C8×D61—22no—
258C23×C61—21no—
259C23×C61C4×D411yescharacteristic
260C22×D61—21no—
261C22×D61—22no—
262C22×D61—22no—
263C22×D61—42no—
264C22×D61—82no—
265C22×D61C4×D411yescharacteristic
266C22×D61C22⋊Q811yescharacteristic
267C22×D61C22⋊Q811yescharacteristic
268C22×D61#12311yescharacteristic
269C22×D61#12311yescharacteristic
270C22×D61C2×#4111yescharacteristic
271C2×#6923—42no—
272C2×#6923—82no—
273Q8×C61—21no—
274Q8×C61C2×C4⋊C412yes—
275D4×C61—22no—
276D4×C61—22no—
277D4×C61—21no—
278D4×C61C2×C4⋊C412yes—
279C2×C4×C61—21no—
280C2×C4×C61—22no—
281C2×C4×C61—22no—
282C2×C4×C61—22no—
283C2×C4×C61—42no—
284C2×C4×C61C2×C4⋊C411yescharacteristic
285C2×C4×C61C2×C4⋊C411yescharacteristic
286C2×C4×C61C4×D411yescharacteristic
287C2×C4×C61C4×D411yescharacteristic
288C2×C4×C61C4×D411yescharacteristic
289C2×C4×C61C23×C411yescharacteristic
290C22⋊D61—22no—
291C22⋊D61—22no—
292C22⋊D61—22no—
293C22⋊D61—22no—
294C22⋊D61—22no—
295C22⋊D61—22no—
296C2×Dic61—24no—
297C2×Dic61—22no—
298C2×Dic61—21no—
299C2×Dic61—22no—
300C2×Dic61—22no—
301C2×Dic61C4×D411yescharacteristic
302C2×Dic61#12011yescharacteristic
303C2×Dic61#12011yescharacteristic
304C2×Dic61C22⋊Q811yescharacteristic
305C2×Dic61C22⋊Q811yescharacteristic
306C2×Dic61C22×D411yescharacteristic
307D244—22no—
308D244—22no—
309D244—21no—
310D244C2×C4⋊C412yes—
311C4×D61—22no—
312C4×D61—22no—
313C4×D61—22no—
314C4×D61—22no—
315C4×D61—22no—
316C4×D61—22no—
317C4×D61—44no—
318C4×D61—44no—
319C4×D61C2×C4⋊C411yescharacteristic
320C4×D61C2×C4⋊C411yescharacteristic
321C4×D61C4×D411yescharacteristic
322C4×D61C4×D411yescharacteristic
323C4×D61#12011yescharacteristic
324C4×D61#12011yescharacteristic
325C4×D61C22⋊Q811yescharacteristic
326C4×D61C22⋊Q811yescharacteristic
327C4×D61C22⋊Q811yescharacteristic
328C4×D61C22⋊Q811yescharacteristic
329C4×D61#12311yescharacteristic
330C4×D61#12311yescharacteristic
331C4×D61C22×D411yescharacteristic
332C4×D61C22×D411yescharacteristic
333C4×D61C22×Q811yescharacteristic
334C4×D61C2×#4111yescharacteristic
335Dic122—21no—
336Dic122—22no—
337Dic122—22no—
338Dic122C2×C4⋊C412yes—
339#92420—22no—
340#92420—24no—
341#92420—22no—
342#92420—42no—
343C8×C61—22no—
344#92418—22no—
345C2×#1861—611nomaximal, Sylow
346C22×C61—22no—
347C22×C61—22no—
348C22×C61—42no—
349C22×C61#38511yescharacteristic
350C22×C61#38511yescharacteristic
351C22×C61C2×C4×D411yescharacteristic
352C2×D61—22no—
353C2×D61—22no—
354C2×D61—22no—
355C2×D61—41no—
356C2×D61—41no—
357C2×D61—41no—
358C2×D61—41no—
359C2×D61—42no—
360C2×D61—82no—
361C2×D61—82no—
362C2×D61#38511yescharacteristic
363C2×D61#38511yescharacteristic
364C2×D61C2×C22⋊Q811yescharacteristic
365C2×D61C2×#12311yescharacteristic
366#6923—82no—
367C4×C61—22no—
368C4×C61—42no—
369C4×C61#38511yescharacteristic
370C4×C61#38511yescharacteristic
371C4×C61C22×C4⋊C411yescharacteristic
372C4×C61C2×C4×D411yescharacteristic
373Dic61—24no—
374Dic61—22no—
375Dic61#38511yescharacteristic
376Dic61#38511yescharacteristic
377Dic61C2×#12011yescharacteristic
378Dic61C2×C22⋊Q811yescharacteristic
379C2×#568—611no—
380C2×#430—611no—
381C2×#423—611no—
382C2×#421—611no—
383C22×#104—611no—
384#1861—618no—
385C2×#344—611no—
386C2×#339—611no—
387C2×C61—21no—
388C2×C61—21no—
389C2×C61—42no—
390C2×C61#186112yescomplemented
391C2×C61C2×#38511yescharacteristic
392D61—21no—
393D61—21no—
394D61—21no—
395D61—21no—
396D61—42no—
397C22×#41—611no—
398#568—614no—
399#568—1222no—
400#568—1222no—
401#568—1222no—
402C2×#131—1222no—
403C2×#131—1221no—
404C2×#131—1221no—
405C22×M16—611no—
406C22×M16—611no—
407C22×M16—611no—
408C22×M16—611no—
409C22×M16—1221no—
410C22×M16—1221no—
411C2×#117—611no—
412C22×C42—611no—
413#430—614no—
414#430—1222no—
415C2×#108—1221no—
416C2×#108—1221no—
417#423—614no—
418#423—1222no—
419C2×C4⋊C8—1222no—
420#421—614no—
421#421—1222no—
422C2×#104—611no—
423C2×#104—611no—
424C2×#104—611no—
425C2×#104—614no—
426C2×#104—614no—
427C2×#104—1221no—
428C2×#104—1221no—
429C2×#104#692311yescharacteristic, complemented
430#344—614no—
431#339—614no—
432C61C2×#186111yescharacteristic, complemented, Sylow
433C2×#41—612no—
434C2×#41—612no—
435C2×#41—612no—
436C2×#41—612no—
437C2×#41—611no—
438C2×#41—611no—
439C2×#41—611no—
440C2×#41—1221no—
441C2×#41—1221no—
442C2×#41—1221no—
443C2×#41—1221no—
444C2×#41—1221no—
445C2×#41—1221no—
446C2×#41C2×#692311yescharacteristic
447C22×Q8—611no—
448C22×D4—611no—
449C22×D4—1221no—
450C23×C4—611no—
451C23×C4—1221no—
452C23×C4—1221no—
453#131—1228no—
454#131—1224no—
455#131—1224no—
456#131—1228no—
457#131—1224no—
458#131—1224no—
459C2×M16—612no—
460C2×M16—612no—
461C2×M16—611no—
462C2×M16—611no—
463C2×M16—612no—
464C2×M16—612no—
465C2×M16—611no—
466C2×M16—612no—
467C2×M16—612no—
468C2×M16—612no—
469C2×M16—1221no—
470C2×M16—1221no—
471C2×M16—1221no—
472C2×M16—1224no—
473C2×M16—1224no—
474C2×M16—1221no—
475C2×M16—1221no—
476C2×M16—1221no—
477C2×M16—1221no—
478C2×M16—1221no—
479C2×M16—1221no—
480C2×M16—1221no—
481C2×M16—1222no—
482C2×M16—1224no—
483C2×M16—1222no—
484C2×M16—1224no—
485C2×M16—1221no—
486C2×M16—1221no—
487C2×M16—1221no—
488C2×M16—1221no—
489C2×M16—1221no—
490C2×M16C2×#692311yescharacteristic
491C22×C8—612no—
492C22×C8—1221no—
493C22×C8—1221no—
494C22×C8—1222no—
495C22×C8—1222no—
496C22×C8—1221no—
497#117—612no—
498#117—1221no—
499#117—1221no—
500#117—1221no—
501C2×C4⋊C4—1221no—
502C2×C22⋊C4—1221no—
503C2×C42—611no—
504C2×C42—612no—
505C2×C42—612no—
506C2×C42—1221no—
507C2×C42—1221no—
508C2×C42—1221no—
509C2×C42—1221no—
510C2×C42C2×#692311yescharacteristic
511#108—1224no—
512#108—1224no—
513C4⋊C8—1228no—
514#104—614no—
515#104—614no—
516#104—614no—
517#104—1224no—
518#104—1224no—
519#104C2×#692314yescomplemented
520C24—611no—
521C24—1221no—
522#41—21no—
523#41—21no—
524#41—612no—
525#41—612no—
526#41—612no—
527#41—612no—
528#41—612no—
529#41—612no—
530#41—1222no—
531#41—1222no—
532#41—1222no—
533#41—1222no—
534#41—1222no—
535#41—1222no—
536#41—1221no—
537#41—1222no—
538#41—1222no—
539#41—1221no—
540#41—1221no—
541#41—1221no—
542#41—1221no—
543#41—1221no—
544#41C4⋊#692312yes—
545#41C22×#692312yes—
546C2×Q8—612no—
547C2×Q8—612no—
548C2×Q8—611no—
549C2×Q8—1221no—
550C2×Q8—1221no—
551C2×Q8—1221no—
552C2×Q8C4⋊#692311yescharacteristic
553C2×D4—21no—
554C2×D4—612no—
555C2×D4—612no—
556C2×D4—611no—
557C2×D4—1221no—
558C2×D4—1221no—
559C2×D4—1221no—
560C2×D4—1221no—
561C2×D4—1222no—
562C2×D4—1222no—
563C2×D4—1222no—
564C2×D4—1222no—
565C2×D4—1221no—
566C2×D4—1221no—
567C2×D4C4⋊#692311yescharacteristic
568C22×C4—21no—
569C22×C4—21no—
570C22×C4—611no—
571C22×C4—611no—
572C22×C4—611no—
573C22×C4—611no—
574C22×C4—611no—
575C22×C4—611no—
576C22×C4—611no—
577C22×C4—611no—
578C22×C4—611no—
579C22×C4—611no—
580C22×C4—611no—
581C22×C4—611no—
582C22×C4—611no—
583C22×C4—1221no—
584C22×C4—1222no—
585C22×C4—1222no—
586C22×C4—1222no—
587C22×C4—1222no—
588C22×C4—1221no—
589C22×C4—1222no—
590C22×C4—1222no—
591C22×C4—1221no—
592C22×C4—1221no—
593C22×C4—1221no—
594C22×C4—2444no—
595C22×C4—2441no—
596C22×C4C22×#692311yescharacteristic
597M16—21no—
598M16—612no—
599M16—612no—
600M16—612no—
601M16—1222no—
602M16—1222no—
603M16—1222no—
604M16—1222no—
605M16—1221no—
606M16—1221no—
607M16—1222no—
608M16—1222no—
609M16—1222no—
610M16—1222no—
611M16—1228no—
612M16—1228no—
613M16—1221no—
614M16—1222no—
615M16—1222no—
616M16—2441no—
617M16—2441no—
618M16C22×#692312yes—
619C2×C8—21no—
620C2×C8—614no—
621C2×C8—1222no—
622C2×C8—1222no—
623C2×C8—1222no—
624C2×C8—1222no—
625C2×C8—1221no—
626C2×C8—1221no—
627C2×C8—1222no—
628C2×C8—1222no—
629C2×C8—1228no—
630C2×C8—1228no—
631C2×C8—1221no—
632C2×C8—1222no—
633C2×C8—2441no—
634C2×C8—2441no—
635C4⋊C4—1222no—
636C4⋊C4—2441no—
637C22⋊C4—1222no—
638C22⋊C4—2441no—
639C42—21no—
640C42—612no—
641C42—1222no—
642C42—1222no—
643C42—1222no—
644C42—1221no—
645C42—2441no—
646C42C22×#692312yes—
647C23—21no—
648C23—611no—
649C23—611no—
650C23—611no—
651C23—611no—
652C23—611no—
653C23—611no—
654C23—1222no—
655C23—1222no—
656C23—1221no—
657C23—4882no—
658C23—2442no—
659C23D4×#692311yescharacteristic
660Q8—21no—
661Q8—612no—
662Q8—1222no—
663Q8—1222no—
664Q8—1221no—
665Q8C2×C4⋊#692312yes—
666D4—22no—
667D4—22no—
668D4—21no—
669D4—612no—
670D4—1222no—
671D4—1222no—
672D4—1222no—
673D4—1222no—
674D4—1222no—
675D4—1222no—
676D4—1222no—
677D4—1222no—
678D4—1221no—
679D4C2×C4⋊#692312yes—
680C2×C4—21no—
681C2×C4—22no—
682C2×C4—22no—
683C2×C4—22no—
684C2×C4—42no—
685C2×C4—611no—
686C2×C4—611no—
687C2×C4—611no—
688C2×C4—611no—
689C2×C4—611no—
690C2×C4—611no—
691C2×C4—611no—
692C2×C4—611no—
693C2×C4—611no—
694C2×C4—611no—
695C2×C4—611no—
696C2×C4—611no—
697C2×C4—611no—
698C2×C4—611no—
699C2×C4—611no—
700C2×C4—611no—
701C2×C4—611no—
702C2×C4—611no—
703C2×C4—611no—
704C2×C4—611no—
705C2×C4—611no—
706C2×C4—611no—
707C2×C4—1222no—
708C2×C4—1222no—
709C2×C4—1222no—
710C2×C4—1222no—
711C2×C4—1222no—
712C2×C4—1222no—
713C2×C4—1224no—
714C2×C4—1221no—
715C2×C4—1222no—
716C2×C4—1222no—
717C2×C4—1222no—
718C2×C4—4882no—
719C2×C4—2444no—
720C2×C4—2444no—
721C2×C4—2442no—
722C2×C4C2×C4⋊#692311yescharacteristic
723C2×C4C2×C4⋊#692311yescharacteristic
724C2×C4D4×#692311yescharacteristic
725C2×C4D4×#692311yescharacteristic
726C2×C4D4×#692311yescharacteristic
727C2×C4C23×#692311yescharacteristic
728C8—22no—
729C8—1224no—
730C8—1222no—
731C8—1222no—
732C8—1222no—
733C8—2442no—
734C22—22no—
735C22—22no—
736C22—42no—
737C22—611no—
738C22—611no—
739C22—611no—
740C22—611no—
741C22—1222no—
742C22—1222no—
743C22—1222no—
744C22—4882no—
745C22—4882no—
746C22—2441no—
747C22—2441no—
748C22—2441no—
749C22—2441no—
750C22—2442no—
751C22#1684070911yescharacteristic
752C22#1684070911yescharacteristic
753C22C2×D4×#692311yescharacteristic
754C4—22no—
755C4—42no—
756C4—611no—
757C4—611no—
758C4—611no—
759C4—611no—
760C4—1224no—
761C4—1222no—
762C4—4882no—
763C4#1684070911yescharacteristic
764C4#1684070911yescharacteristic
765C4C22×C4⋊#692311yescharacteristic
766C4C2×D4×#692311yescharacteristic
767C2—21no—
768C2—21no—
769C2—42no—
770C2—1221no—
771C2—1221no—
772C2—1221no—
773C2—1221no—
774C2—2442no—
775C2#2146178112yesdirect product factor
776C2C2×#1684070911yescharacteristic
subgroupG/H
centerC22#16840709
commutatorC2×C4×C61C23×C4
FrattiniC2×C4C23×#6923
FittingC2×#104×C61C4
socleC22×C61#385
prime radicalC2×#41×D61C22
cosocleC2×C4×D61C24
hypercenterC2×#104#6923
hypocenterC61C2×#1861
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C22×C4 ◁ C2×#104

Complements

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

NH ≅ G/Ntype
2. C2×#16840777C2semidirect
3. C2×#16840767C2semidirect
5. #21461781C2direct (N × H)
6. C2×#16840645C2semidirect
7. C2×#16840633C2semidirect
23. #16840777C22semidirect
27. #16840767C22semidirect
33. #16840645C22semidirect
34. #16840633C22semidirect
38. C2×#14519705C4semidirect
39. C2×#14519704C4semidirect
40. C2×#14519703C4semidirect
41. #104×D61C4semidirect
43. C2×#104×C61C4semidirect
124. #14519705C2×C4semidirect
125. #14519704C2×C4semidirect
126. #14519703C2×C4semidirect
130. #104×C61C2×C4semidirect
390. C2×C61#1861semidirect
429. C2×#104#6923semidirect
432. C61C2×#1861semidirect
519. #104C2×#6923semidirect
775. C2#21461781direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#168408412
C2×#168407772
C2×#168407672
C2×#168407592
#214617812
C2×#168406452
C2×#168406332
C2×#104×D612
C2×#186161