Finite Group Databasebeta

← C2×#21458647 #30559779

Subgroups — C2×#21458647 #30559779

Order 15616.

1886 conjugacy classes of subgroups.

The subgroup lattice has 724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840482C211yesmaximal, characteristic, complemented
2C2×#16840471C211yesmaximal, characteristic, complemented
3#21458647C2116yesmaximal, direct product factor
4C2×#16840131C211yesmaximal, characteristic, complemented
5C2×#16840120C211yesmaximal, characteristic, complemented
6C2×#16840115C211yesmaximal, characteristic, complemented
7C2×#16840072C211yesmaximal, characteristic, complemented
8C2×#16840046C211yesmaximal, characteristic, complemented
9C2×#16840062C211yesmaximal, characteristic, complemented
10C2×#16839975C211yesmaximal, characteristic
11C2×#16839975C211yesmaximal, characteristic
12C2×#16839967C211yesmaximal, characteristic, complemented
13C2×#16839890C211yesmaximal, characteristic, complemented
14C2×#16839859C211yesmaximal, characteristic, complemented
15C2×#16839853C211yesmaximal, characteristic, complemented
16C2×C61×#442C211yesmaximal, characteristic
17C22×#11758200C2211yescharacteristic
18C22×#11758200C2211yescharacteristic
19#16840482—24no—
20#16840482C2218yescomplemented
21#16840471—24no—
22#16840471C2218yescomplemented
23C2×#14519777C2211yescharacteristic
24C2×#14519776C2211yescharacteristic
25C2×#14519770—21no—
26C2×#14519770—21no—
27C2×#14519769C2211yescharacteristic
28C2×#14519768C2211yescharacteristic
29C2×#14519764C2211yescharacteristic
30C2×#14519764C2211yescharacteristic
31C2×#14519756—21no—
32C2×#14519756—21no—
33C2×#14519754—21no—
34C2×#14519754—21no—
35C2×C4×Dic122C2211yescharacteristic
36C2×#14519742C2211yescharacteristic
37C2×#14519742C2211yescharacteristic
38C2×D4×Dic61C2211yescharacteristic
39C2×D4×Dic61C2211yescharacteristic
40C2×#14519736—21no—
41C22×#11758196—21no—
42#16840131C2218yescomplemented
43#16840120C2218yescomplemented
44#16840115C2218yescomplemented
45#16840072C2218yescomplemented
46#16840062C2218yescomplemented
47#16840046C2218yescomplemented
48#16839975C2218yes—
49#16839975C2218yes—
50#16839967C2218yescomplemented
51#16839890C2218yescomplemented
52#16839859C2218yescomplemented
53#16839853C2218yescomplemented
54C2×#14519710C2211yescharacteristic
55C2×#14519708C2211yescharacteristic
56C2×C4⋊#92418C2211yescharacteristic
57C2×#14519706C2211yescharacteristic
58C2×#14519706C2211yescharacteristic
59C2×#14519702C2211yescharacteristic
60C2×#14519702C2211yescharacteristic
61C2×#14519702C2211yescharacteristic
62C2×#14519702C2211yescharacteristic
63C2×#14519700C2211yescharacteristic
64C2×#14519700C2211yescharacteristic
65C2×#14519698C2211yescharacteristic
66C2×#14519698C2211yescharacteristic
67C2×#14519687C2211yescharacteristic
68C2×C8×Dic61C2211yescharacteristic
69C22×D8×C61C2211yescharacteristic
70C2×C4×D4×C61C2211yescharacteristic
71C2×C4×D4×C61C2211yescharacteristic
72C61×#442C2218yes—
73C2×#106×C61C2211yescharacteristic
74C2×#102×C61C2211yescharacteristic
75C2×#102×C61C2211yescharacteristic
76C2×#97×C61C2211yescharacteristic
77C22×Dic122—21no—
78C22×Dic122D411yescharacteristic
79C22×Dic122C2311yescharacteristic
80C22×Dic122C2311yescharacteristic
81C23×Dic61—21no—
82C23×Dic61—21no—
83C2×#11758200—24no—
84C2×#11758200—24no—
85C2×#11758200C2314yes—
86C2×#11758200C2314yes—
87C22×#92418C2311yescharacteristic
88C22×#92418C2311yescharacteristic
89#14519777—22no—
90#14519777C2314yes—
91#14519776—22no—
92#14519776C2314yes—
93#14519770—28no—
94#14519770—28no—
95#14519769—22no—
96#14519769C2314yes—
97#14519768—22no—
98#14519768C2314yes—
99#14519764—22no—
100#14519764—22no—
101#14519764C2314yes—
102#14519764C2314yes—
103#14519756—28no—
104#14519756—28no—
105#14519754—28no—
106#14519754—28no—
107C4×Dic122D414yes—
108C4×Dic122C2314yes—
109#14519742—22no—
110#14519742—22no—
111#14519742C2314yes—
112#14519742C2314yes—
113D4×Dic61—22no—
114D4×Dic61—22no—
115D4×Dic61C2314yes—
116D4×Dic61C2314yes—
117#14519736—28no—
118C2×C4⋊Dic61—21no—
119C2×C4⋊Dic61—21no—
120C2×C4⋊Dic61—21no—
121C2×C4⋊Dic61D411yescharacteristic
122C2×C4⋊Dic61C2311yescharacteristic
123C2×C4⋊Dic61C2311yescharacteristic
124C2×#11758196—21no—
125C2×#11758196—21no—
126C2×#11758196—21no—
127C2×#11758196—21no—
128C2×#11758196—21no—
129C2×#11758196—21no—
130C2×#11758196—28no—
131C2×#11758196D411yescharacteristic
132C2×#11758196D411yescharacteristic
133C2×C22⋊Dic61—21no—
134C2×C22⋊Dic61—21no—
135C2×C22⋊Dic61—21no—
136C2×C22⋊Dic61—21no—
137C2×C22⋊Dic61—21no—
138C2×C22⋊Dic61—21no—
139C2×C4×Dic61—21no—
140C2×C4×Dic61—21no—
141C2×C4×Dic61C2311yescharacteristic
142C2×C4×Dic61C2311yescharacteristic
143#14519710C2314yes—
144#14519708C2314yes—
145C4⋊#92418C2314yes—
146#14519706C2314yes—
147#14519706C2314yes—
148#14519702C2314yes—
149#14519702C2314yes—
150#14519702C2314yes—
151#14519702C2314yes—
152#14519700C2314yes—
153#14519700C2314yes—
154#14519698C2314yes—
155#14519698C2314yes—
156#14519687C2314yes—
157C8×Dic61C2314yes—
158C22×D4×C61C2311yescharacteristic
159C22×D4×C61C2311yescharacteristic
160C23×C4×C61—21no—
161C23×C4×C61—21no—
162C2×D8×C61—24no—
163C2×D8×C61C2314yes—
164C22×C8×C61C2311yescharacteristic
165C22×C8×C61C2311yescharacteristic
166C4×D4×C61—22no—
167C4×D4×C61—22no—
168C4×D4×C61C2314yes—
169C4×D4×C61C2314yes—
170C2×C4⋊C4×C61C2311yescharacteristic
171C2×C4⋊C4×C61C2311yescharacteristic
172C2×C22⋊C4×C61—21no—
173C2×C22⋊C4×C61—21no—
174C2×C42×C61C2311yescharacteristic
175#106×C61C2314yes—
176#102×C61C2314yes—
177#102×C61C2314yes—
178#97×C61C2314yes—
179C24×C61—21no—
180C24×C61—21no—
181C2×D4×C61—21no—
182C2×D4×C61—21no—
183C2×D4×C61—22no—
184C2×D4×C61—22no—
185C2×D4×C61—22no—
186C2×D4×C61#4114yes—
187C2×D4×C61C2412yes—
188C2×D4×C61C2412yes—
189C22×C4×C61—21no—
190C22×C4×C61—21no—
191C22×C4×C61—24no—
192C22×C4×C61—24no—
193C22×C4×C61—44no—
194C22×C4×C61—82no—
195C22×C4×C61C2×D411yescharacteristic
196C22×C4×C61C2×D411yescharacteristic
197C22×C4×C61C2411yescharacteristic
198C22×Dic61—21no—
199C22×Dic61—21no—
200C22×Dic61—21no—
201C22×Dic61—21no—
202C22×Dic61—24no—
203C22×Dic61—24no—
204C22×Dic61—44no—
205C22×Dic61—82no—
206C22×Dic61C2×D411yescharacteristic
207C22×Dic61C2×D411yescharacteristic
208C22×Dic61C2×D411yescharacteristic
209C22×Dic61C2×D411yescharacteristic
210C2×Dic122—22no—
211C2×Dic122—22no—
212C2×Dic122—22no—
213C2×Dic122—22no—
214C2×Dic122—21no—
215C2×Dic122—21no—
216C2×Dic122—24no—
217C2×Dic122—42no—
218C2×Dic122—82no—
219C2×Dic122C2×D414yes—
220C2×Dic122C2412yes—
221C2×Dic122C2412yes—
222D8×C61—28no—
223C2×C8×C61—22no—
224C2×C8×C61—22no—
225C2×C8×C61C2412yes—
226C2×C8×C61C2412yes—
227C4⋊C4×C61—21no—
228C4⋊C4×C61—21no—
229C4⋊C4×C61C2412yes—
230C4⋊C4×C61C2412yes—
231C22⋊C4×C61—24no—
232C22⋊C4×C61—24no—
233C42×C61C2×D412yes—
234C42×C61C2412yes—
235C22⋊Dic61—24no—
236C22⋊Dic61—24no—
237C22⋊Dic61—24no—
238C22⋊Dic61—24no—
239C22⋊Dic61—24no—
240C22⋊Dic61—24no—
241#11758200—28no—
242#11758200—28no—
243C4⋊Dic61—24no—
244C4⋊Dic61—24no—
245C4⋊Dic61—21no—
246C4⋊Dic61—21no—
247C4⋊Dic61—24no—
248C4⋊Dic61C2×D414yes—
249C4⋊Dic61C2412yes—
250C4⋊Dic61C2412yes—
251#11758196—24no—
252#11758196—24no—
253#11758196—24no—
254#11758196—24no—
255#11758196—24no—
256#11758196—24no—
257#11758196C2×D414yes—
258#11758196C2×D414yes—
259C4×Dic61—24no—
260C4×Dic61—24no—
261C4×Dic61C2×D412yes—
262C4×Dic61C2×D412yes—
263C4×Dic61C2412yes—
264C4×Dic61C2412yes—
265C2×#92418—22no—
266C2×#92418—22no—
267C2×#92418C2412yes—
268C2×#92418C2412yes—
269C23×C61—24no—
270C23×C61—22no—
271C23×C61—22no—
272C23×C61—42no—
273C23×C61—42no—
274C23×C61—42no—
275C23×C61—42no—
276C23×C61—42no—
277C23×C61C22×D411yescharacteristic
278D4×C61—24no—
279D4×C61—22no—
280D4×C61—22no—
281D4×C61—22no—
282D4×C61—42no—
283D4×C61C2×#4114yes—
284C2×C4×C61—22no—
285C2×C4×C61—22no—
286C2×C4×C61—22no—
287C2×C4×C61—22no—
288C2×C4×C61—48no—
289C2×C4×C61—42no—
290C2×C4×C61—42no—
291C2×C4×C61—84no—
292C2×C4×C61C22×D412yes—
293C2×C4×C61C22×D412yes—
294C2×C4×C61C22×D411yescharacteristic
295C2×C4×C61C2×#4112yes—
296C2×C4×C612−1+412yes—
297C2×C4×C61C2511yescharacteristic
298C2×Dic61—22no—
299C2×Dic61—22no—
300C2×Dic61—22no—
301C2×Dic61—22no—
302C2×Dic61—22no—
303C2×Dic61—22no—
304C2×Dic61—22no—
305C2×Dic61—22no—
306C2×Dic61—48no—
307C2×Dic61—42no—
308C2×Dic61—42no—
309C2×Dic61—42no—
310C2×Dic61—42no—
311C2×Dic61—84no—
312C2×Dic61C22×D412yes—
313C2×Dic61C22×D412yes—
314C2×Dic61C22×D412yes—
315C2×Dic61C22×D412yes—
316Dic122—22no—
317Dic122—22no—
318Dic122—22no—
319Dic122—22no—
320Dic122—44no—
321Dic122—42no—
322Dic122—42no—
323Dic122—84no—
324C8×C61—22no—
325C8×C61—22no—
326#92418—22no—
327#92418—22no—
328C2×#3376—611nomaximal, Sylow
329C22×C61—24no—
330C22×C61—48no—
331C22×C61—42no—
332C22×C61—42no—
333C22×C61—42no—
334C22×C61—42no—
335C22×C61—42no—
336C22×C61—84no—
337C22×C61#54812yes—
338C22×C61#57512yes—
339C22×C61#57712yes—
340C22×C61C23×D411yescharacteristic
341C4×C61—22no—
342C4×C61—22no—
343C4×C61—42no—
344C4×C61—42no—
345C4×C61#54812yes—
346C4×C61C22×#4111yescharacteristic
347C4×C61C2×2−1+411yescharacteristic
348Dic61—22no—
349Dic61—22no—
350Dic61—22no—
351Dic61—22no—
352Dic61—42no—
353Dic61—42no—
354Dic61—42no—
355Dic61—42no—
356C2×#556—611no—
357C2×#554—611no—
358#3376—6116no—
359C2×#491—611no—
360C2×#489—611no—
361C2×#488—611no—
362C2×#479—611no—
363C2×#475—611no—
364C2×#478—611no—
365C2×#463—611no—
366C2×#463—611no—
367C2×#461—611no—
368C2×#446—611no—
369C2×#442D6111yescharacteristic
370C2×#440—611no—
371C2×C4×SD16—611no—
372C2×C61—44no—
373C2×C61—82no—
374C2×C61#337614yescomplemented
375C2×C61C2×#54811yescharacteristic
376C2×C61C2×#57511yescharacteristic
377C2×C61C2×#57711yescharacteristic
378C22×SD16—611no—
379C22×SD16—611no—
380C22×D8C2×D6111yescharacteristic
381#556—618no—
382#556—1224no—
383#554—618no—
384#554—1224no—
385C2×C4⋊Q8—611no—
386C2×C4⋊Q8—611no—
387C2×#126—1221no—
388C2×#126—1221no—
389C2×#125—611no—
390C2×#125—611no—
391C2×#124—611no—
392C2×#124—611no—
393C2×C22⋊Q8—1221no—
394C2×C22⋊Q8—1221no—
395C2×C22⋊Q8—1221no—
396C2×C22⋊Q8—1221no—
397C2×C4×Q8—611no—
398C2×C4×Q8—611no—
399C2×C4×Q8—611no—
400C2×C4×D4—611no—
401C2×C4×D4—611no—
402C2×C4×D4C2×D6111yescharacteristic
403C2×C4×D4C2×D6111yescharacteristic
404C2×#117—1221no—
405C22×C4⋊C4—1221no—
406#491—618no—
407#489—618no—
408#488—618no—
409#479—618no—
410#478—618no—
411#475—618no—
412#463—618no—
413#463—618no—
414#461—618no—
415#446—618no—
416#442C2×D6118yes—
417#440—618no—
418C4×SD16—618no—
419C2×#107—611no—
420C2×#106—611no—
421C2×#106C2×D6111yescharacteristic
422C2×C4⋊C8—611no—
423C2×C4⋊C8—611no—
424C2×C4⋊C8—611no—
425C2×#103—611no—
426C2×#103—611no—
427C2×#103—611no—
428C2×#103—611no—
429C2×#103—611no—
430C2×#103—611no—
431C2×#102—611no—
432C2×#102—611no—
433C2×#102C2×D6111yescharacteristic
434C2×#102C2×D6111yescharacteristic
435C2×#97—611no—
436C2×#97C2×D6111yescharacteristic
437C2×C4×C8—611no—
438C61C2×#337611yescharacteristic, complemented, Sylow
439C22×Q8—611no—
440C22×Q8—611no—
441C22×Q8—611no—
442C22×Q8—1221no—
443C22×D4C22×D6111yescharacteristic
444C22×D4C22×D6111yescharacteristic
445C23×C4—21no—
446C23×C4—21no—
447C23×C4—1221no—
448C23×C4—1221no—
449C2×SD16—614no—
450C2×SD16—614no—
451C2×SD16—1224no—
452C2×SD16—1224no—
453C2×D8—24no—
454C2×D8C22×D6114yes—
455C22×C8—611no—
456C22×C8—611no—
457C22×C8C22×D6111yescharacteristic
458C22×C8C22×D6111yescharacteristic
459C4⋊Q8—614no—
460C4⋊Q8—614no—
461C4⋊Q8—1222no—
462C4⋊Q8—1222no—
463#126—1228no—
464#126—1228no—
465#125—614no—
466#125—614no—
467#125—1222no—
468#125—1222no—
469#124—614no—
470#124—614no—
471#124—1222no—
472#124—1222no—
473C22⋊Q8—1228no—
474C22⋊Q8—1228no—
475C22⋊Q8—1228no—
476C22⋊Q8—1228no—
477C4×Q8—614no—
478C4×Q8—614no—
479C4×Q8—614no—
480C4×Q8—614no—
481C4×Q8—1222no—
482C4×Q8—1222no—
483C4×D4—22no—
484C4×D4—22no—
485C4×D4—614no—
486C4×D4—614no—
487C4×D4—1222no—
488C4×D4—1222no—
489C4×D4C22×D6114yes—
490C4×D4C22×D6114yes—
491#117—1228no—
492C2×C4⋊C4—611no—
493C2×C4⋊C4—611no—
494C2×C4⋊C4—611no—
495C2×C4⋊C4—611no—
496C2×C4⋊C4—611no—
497C2×C4⋊C4—1228no—
498C2×C4⋊C4—1221no—
499C2×C4⋊C4—1221no—
500C2×C4⋊C4—1221no—
501C2×C4⋊C4—1221no—
502C2×C4⋊C4—1221no—
503C2×C4⋊C4—1221no—
504C2×C4⋊C4—1221no—
505C2×C4⋊C4—1221no—
506C2×C4⋊C4—1221no—
507C2×C4⋊C4C22×D6111yescharacteristic
508C2×C4⋊C4C22×D6111yescharacteristic
509C2×C22⋊C4—21no—
510C2×C22⋊C4—21no—
511C2×C22⋊C4—1221no—
512C2×C22⋊C4—1221no—
513C2×C22⋊C4—1221no—
514C2×C22⋊C4—1221no—
515C2×C22⋊C4—1221no—
516C2×C22⋊C4—1221no—
517C2×C42—611no—
518C2×C42—611no—
519C2×C42—1221no—
520C2×C42—1221no—
521C2×C42C22×D6111yescharacteristic
522#107—614no—
523#106—614no—
524#106C22×D6114yes—
525C4⋊C8—614no—
526C4⋊C8—614no—
527C4⋊C8—614no—
528#103—614no—
529#103—614no—
530#103—614no—
531#103—614no—
532#103—614no—
533#103—614no—
534#102—614no—
535#102—614no—
536#102C22×D6114yes—
537#102C22×D6114yes—
538#97—614no—
539#97C22×D6114yes—
540C4×C8—614no—
541C24—21no—
542C24—21no—
543C2×Q8—614no—
544C2×Q8—612no—
545C2×Q8—612no—
546C2×Q8—1224no—
547C2×Q8—1221no—
548C2×Q8—1221no—
549C2×Q8—1222no—
550C2×Q8—1222no—
551C2×Q8—1222no—
552C2×Q8—1222no—
553C2×Q8—4882no—
554C2×Q8—2442no—
555C2×D4—21no—
556C2×D4—21no—
557C2×D4—22no—
558C2×D4—22no—
559C2×D4—22no—
560C2×D4#1175822214yes—
561C2×D4C23×D6112yes—
562C2×D4C23×D6112yes—
563C22×C4—21no—
564C22×C4—21no—
565C22×C4—24no—
566C22×C4—24no—
567C22×C4—44no—
568C22×C4—82no—
569C22×C4—611no—
570C22×C4—611no—
571C22×C4—611no—
572C22×C4—611no—
573C22×C4—1224no—
574C22×C4—1224no—
575C22×C4—1221no—
576C22×C4—1221no—
577C22×C4—1221no—
578C22×C4—1221no—
579C22×C4—4882no—
580C22×C4—2444no—
581C22×C4D4×D6111yescharacteristic
582C22×C4D4×D6111yescharacteristic
583C22×C4C23×D6111yescharacteristic
584SD16—1228no—
585SD16—1228no—
586D8—28no—
587C2×C8—22no—
588C2×C8—22no—
589C2×C8—612no—
590C2×C8—612no—
591C2×C8—1222no—
592C2×C8—1222no—
593C2×C8C23×D6112yes—
594C2×C8C23×D6112yes—
595C4⋊C4—21no—
596C4⋊C4—21no—
597C4⋊C4—614no—
598C4⋊C4—614no—
599C4⋊C4—614no—
600C4⋊C4—612no—
601C4⋊C4—612no—
602C4⋊C4—1224no—
603C4⋊C4—1224no—
604C4⋊C4—1224no—
605C4⋊C4—1224no—
606C4⋊C4—1224no—
607C4⋊C4—1221no—
608C4⋊C4—1221no—
609C4⋊C4—1224no—
610C4⋊C4—1224no—
611C4⋊C4—1224no—
612C4⋊C4—1224no—
613C4⋊C4C23×D6112yes—
614C4⋊C4C23×D6112yes—
615C22⋊C4—24no—
616C22⋊C4—24no—
617C22⋊C4—1224no—
618C22⋊C4—1224no—
619C22⋊C4—1224no—
620C22⋊C4—1224no—
621C22⋊C4—1224no—
622C22⋊C4—1224no—
623C42—612no—
624C42—612no—
625C42—612no—
626C42—612no—
627C42—1224no—
628C42—1224no—
629C42D4×D6112yes—
630C42C23×D6112yes—
631C23—22no—
632C23—24no—
633C23—22no—
634C23—42no—
635C23—42no—
636C23—42no—
637C23—42no—
638C23—42no—
639C23C2×D4×D6111yescharacteristic
640Q8—1222no—
641Q8—1222no—
642Q8—1222no—
643Q8—1222no—
644Q8—4884no—
645Q8—2444no—
646Q8—2442no—
647Q8—2442no—
648D4—22no—
649D4—22no—
650D4—22no—
651D4—24no—
652D4—42no—
653D4C2×#1175822214yes—
654C2×C4—22no—
655C2×C4—22no—
656C2×C4—22no—
657C2×C4—22no—
658C2×C4—48no—
659C2×C4—42no—
660C2×C4—42no—
661C2×C4—84no—
662C2×C4—612no—
663C2×C4—612no—
664C2×C4—612no—
665C2×C4—612no—
666C2×C4—1222no—
667C2×C4—1222no—
668C2×C4—1222no—
669C2×C4—1222no—
670C2×C4—1222no—
671C2×C4—1222no—
672C2×C4—1222no—
673C2×C4—1222no—
674C2×C4—4884no—
675C2×C4—2448no—
676C2×C4—2442no—
677C2×C4—2442no—
678C2×C4—2442no—
679C2×C4—2442no—
680C2×C4C2×D4×D6112yes—
681C2×C4C2×D4×D6112yes—
682C2×C4C2×D4×D6111yescharacteristic
683C2×C4C2×#1175822212yes—
684C2×C4#1451982412yes—
685C2×C4C24×D6111yescharacteristic
686C8—22no—
687C8—22no—
688C8—1222no—
689C8—1222no—
690C22—24no—
691C22—42no—
692C22—42no—
693C22—48no—
694C22—42no—
695C22—42no—
696C22—42no—
697C22—84no—
698C22#1684042112yes—
699C22#1684055812yes—
700C22#1684057212yes—
701C22C22×D4×D6111yescharacteristic
702C4—22no—
703C4—22no—
704C4—42no—
705C4—42no—
706C4—1222no—
707C4—1222no—
708C4—1222no—
709C4—1222no—
710C4—2442no—
711C4—2442no—
712C4—2442no—
713C4—2442no—
714C4#1684042112yes—
715C4C22×#1175822211yescharacteristic
716C4C2×#1451982411yescharacteristic
717C2—44no—
718C2—82no—
719C2#2145864714yesdirect product factor
720C2C2×#1684042111yescharacteristic
721C2C2×#1684055811yescharacteristic
722C2C2×#1684057211yescharacteristic
subgroupG/H
centerC23C2×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC2×C61×#442C2
socleC23×C61C22×D4
prime radicalC22×D8×C61C22
hypercenterC2×#442D61
hypocenterC61C2×#3376
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#442

Complements

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

NH ≅ G/Ntype
1. C2×#16840482C2semidirect
2. C2×#16840471C2semidirect
3. #21458647C2direct (N × H)
4. C2×#16840131C2semidirect
5. C2×#16840120C2semidirect
6. C2×#16840115C2semidirect
7. C2×#16840072C2semidirect
8. C2×#16840046C2semidirect
9. C2×#16840062C2semidirect
12. C2×#16839967C2semidirect
13. C2×#16839890C2semidirect
14. C2×#16839859C2semidirect
15. C2×#16839853C2semidirect
20. #16840482C22semidirect
22. #16840471C22semidirect
42. #16840131C22semidirect
43. #16840120C22semidirect
44. #16840115C22semidirect
45. #16840072C22semidirect
46. #16840062C22semidirect
47. #16840046C22semidirect
50. #16839967C22semidirect
51. #16839890C22semidirect
52. #16839859C22semidirect
53. #16839853C22semidirect
374. C2×C61#3376semidirect
438. C61C2×#3376semidirect
719. C2#21458647direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#168404822
C2×#168404712
#214586472
C2×#168401312
C2×#168401202
C2×#168401152
C2×#168400722
C2×#168400462
C2×#168400622
C2×#168399752
C2×#168399672
C2×#168398902
C2×#168398592
C2×#168398532
C2×C61×#4422
C2×#337661