Finite Group Databasebeta

← C2×#21458778 #30560555

Subgroups — C2×#21458778 #30560555

Order 15616.

1898 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840471C211yesmaximal, characteristic, complemented
2C2×#16840469C211yesmaximal, characteristic, complemented
3#21458778C2116yesmaximal, direct product factor
4C2×#16840171C211yesmaximal, characteristic, complemented
5C2×#16840169C211yesmaximal, characteristic, complemented
6C2×#16840162C211yesmaximal, characteristic, complemented
7C2×#16840064C211yesmaximal, characteristic, complemented
8C2×#16840064C211yesmaximal, characteristic, complemented
9C2×#16840062C211yesmaximal, characteristic, complemented
10C2×#16840060C211yesmaximal, characteristic, complemented
11C2×#16840042C211yesmaximal, characteristic, complemented
12C2×#16840040C211yesmaximal, characteristic, complemented
13C2×#16839890C211yesmaximal, characteristic, complemented
14C2×#16839874C211yesmaximal, characteristic
15C2×D8×Dic61C211yesmaximal, characteristic
16C2×C61×#442C211yesmaximal, characteristic
17#16840471—24no—
18#16840471C2218yescomplemented
19#16840469—24no—
20#16840469C2218yescomplemented
21C2×#14519777C2211yescharacteristic
22C2×#14519776C2211yescharacteristic
23C2×#14519769C2211yescharacteristic
24C2×#14519768C2211yescharacteristic
25C2×#14519768C2211yescharacteristic
26C2×#14519768C2211yescharacteristic
27C2×#14519756—21no—
28C2×#14519756—21no—
29C2×#14519754—21no—
30C2×#14519754—21no—
31C2×#14519754—21no—
32C2×#14519754—21no—
33C2×C4×Dic122C2211yescharacteristic
34C2×D4×Dic61C2211yescharacteristic
35C2×D4×Dic61C2211yescharacteristic
36C2×D4×Dic61C2211yescharacteristic
37C2×D4×Dic61C2211yescharacteristic
38C22×C4⋊Dic61—21no—
39C22×#11758196—21no—
40#16840171C2218yescomplemented
41#16840169C2218yescomplemented
42#16840162C2218yescomplemented
43#16840064C2218yescomplemented
44#16840064C2218yescomplemented
45#16840062C2218yescomplemented
46#16840060C2218yescomplemented
47#16840042C2218yescomplemented
48#16840040C2218yescomplemented
49#16839890C2218yescomplemented
50#16839874C2218yes—
51D8×Dic61C2218yes—
52C2×#14519711C2211yescharacteristic
53C2×#14519711C2211yescharacteristic
54C2×#14519710C2211yescharacteristic
55C2×#14519710C2211yescharacteristic
56C2×#14519710C2211yescharacteristic
57C2×#14519709C2211yescharacteristic
58C2×#14519709C2211yescharacteristic
59C2×#14519708C2211yescharacteristic
60C2×C4⋊#92418C2211yescharacteristic
61C2×#14519706C2211yescharacteristic
62C2×#14519706C2211yescharacteristic
63C2×#14519698C2211yescharacteristic
64C2×#14519698C2211yescharacteristic
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×Dic122—21no—
79C22×Dic122D411yescharacteristic
80C23×Dic61—21no—
81C23×Dic61—21no—
82C23×Dic61—21no—
83C23×Dic61—21no—
84C22×#92418C2311yescharacteristic
85C22×#92418C2311yescharacteristic
86#14519777—22no—
87#14519777C2314yes—
88#14519776—22no—
89#14519776C2314yes—
90#14519769—22no—
91#14519769C2314yes—
92#14519768—22no—
93#14519768—22no—
94#14519768—22no—
95#14519768C2314yes—
96#14519768C2314yes—
97#14519768C2314yes—
98#14519756—28no—
99#14519756—28no—
100#14519754—28no—
101#14519754—28no—
102#14519754—28no—
103#14519754—28no—
104C4×Dic122D414yes—
105C4×Dic122C2314yes—
106D4×Dic61—22no—
107D4×Dic61—22no—
108D4×Dic61—22no—
109D4×Dic61—22no—
110D4×Dic61C2314yes—
111D4×Dic61C2314yes—
112D4×Dic61C2314yes—
113D4×Dic61C2314yes—
114C2×C4⋊Dic61—21no—
115C2×C4⋊Dic61—21no—
116C2×C4⋊Dic61—21no—
117C2×C4⋊Dic61—21no—
118C2×C4⋊Dic61—28no—
119C2×C4⋊Dic61D411yescharacteristic
120C2×C4⋊Dic61C2311yescharacteristic
121C2×C4⋊Dic61C2311yescharacteristic
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×C4×Dic61C2311yescharacteristic
138C2×C4×Dic61C2311yescharacteristic
139#14519711C2314yes—
140#14519711C2314yes—
141#14519710C2314yes—
142#14519710C2314yes—
143#14519710C2314yes—
144#14519709C2314yes—
145#14519709C2314yes—
146#14519708C2314yes—
147C4⋊#92418C2314yes—
148#14519706C2314yes—
149#14519706C2314yes—
150#14519698C2314yes—
151#14519698C2314yes—
152#14519698C2314yes—
153#14519698C2314yes—
154#14519687C2314yes—
155C8×Dic61C2314yes—
156C22×D4×C61C2311yescharacteristic
157C22×D4×C61C2311yescharacteristic
158C23×C4×C61—21no—
159C23×C4×C61—21no—
160C2×D8×C61Q818yescomplemented
161C2×D8×C61C2314yes—
162C22×C8×C61C2311yescharacteristic
163C22×C8×C61C2311yescharacteristic
164C4×D4×C61—22no—
165C4×D4×C61—22no—
166C4×D4×C61C2314yes—
167C4×D4×C61C2314yes—
168C2×C4⋊C4×C61C2311yescharacteristic
169C2×C4⋊C4×C61C2311yescharacteristic
170C2×C22⋊C4×C61—21no—
171C2×C22⋊C4×C61—21no—
172C2×C42×C61C2311yescharacteristic
173#106×C61C2314yes—
174#102×C61C2314yes—
175#102×C61C2314yes—
176#97×C61C2314yes—
177C24×C61—21no—
178C24×C61—21no—
179C2×D4×C61—21no—
180C2×D4×C61—21no—
181C2×D4×C61—22no—
182C2×D4×C61—22no—
183C2×D4×C61C2×Q814yes—
184C2×D4×C61C2×Q814yes—
185C2×D4×C61C2412yes—
186C2×D4×C61C2412yes—
187C22×C4×C61—21no—
188C22×C4×C61—21no—
189C22×C4×C61—24no—
190C22×C4×C61—24no—
191C22×C4×C61—44no—
192C22×C4×C61—82no—
193C22×C4×C61C2×D411yescharacteristic
194C22×C4×C61C2×D411yescharacteristic
195C22×C4×C61C2411yescharacteristic
196C22×Dic61—21no—
197C22×Dic61—21no—
198C22×Dic61—21no—
199C22×Dic61—21no—
200C22×Dic61—24no—
201C22×Dic61—24no—
202C22×Dic61—24no—
203C22×Dic61—24no—
204C22×Dic61—44no—
205C22×Dic61—82no—
206C22×Dic61—82no—
207C22×Dic61—82no—
208C22×Dic61C2×D411yescharacteristic
209C22×Dic61C2×D411yescharacteristic
210C22×Dic61C2×D411yescharacteristic
211C22×Dic61C2×D411yescharacteristic
212C2×Dic122—24no—
213C2×Dic122—24no—
214C2×Dic122—42no—
215C2×Dic122—82no—
216C2×Dic122—82no—
217C2×Dic122C2×D414yes—
218D8×C61C2×Q8116yescomplemented
219C2×C8×C61—22no—
220C2×C8×C61C2×Q814yes—
221C2×C8×C61C2412yes—
222C2×C8×C61C2412yes—
223C4⋊C4×C61—21no—
224C4⋊C4×C61—21no—
225C4⋊C4×C61C2412yes—
226C4⋊C4×C61C2412yes—
227C22⋊C4×C61—24no—
228C22⋊C4×C61—24no—
229C42×C61C2×D412yes—
230C42×C61C2412yes—
231C22⋊Dic61—24no—
232C22⋊Dic61—24no—
233C22⋊Dic61—24no—
234C22⋊Dic61—24no—
235C4⋊Dic61—24no—
236C4⋊Dic61—21no—
237C4⋊Dic61—21no—
238C4⋊Dic61—21no—
239C4⋊Dic61—21no—
240C4⋊Dic61—24no—
241C4⋊Dic61—24no—
242C4⋊Dic61—24no—
243C4⋊Dic61C2×D414yes—
244C4⋊Dic61C2412yes—
245C4⋊Dic61C2412yes—
246C4⋊Dic61C2412yes—
247C4⋊Dic61C2412yes—
248#11758196—24no—
249#11758196—24no—
250#11758196—24no—
251#11758196—24no—
252#11758196—24no—
253#11758196—24no—
254#11758196C2×D414yes—
255#11758196C2×D414yes—
256C4×Dic61C2×D412yes—
257C4×Dic61C2×D412yes—
258C4×Dic61C2412yes—
259C4×Dic61C2412yes—
260C2×#92418—22no—
261C2×#92418—22no—
262C2×#92418C2412yes—
263C2×#92418C2412yes—
264C23×C61—24no—
265C23×C61—24no—
266C23×C61—22no—
267C23×C61—22no—
268C23×C61—42no—
269C23×C61—42no—
270C23×C61—42no—
271C23×C61—42no—
272C23×C61C22×D411yescharacteristic
273D4×C61—24no—
274D4×C61—24no—
275D4×C61—22no—
276D4×C61—22no—
277D4×C61C22×Q814yes—
278D4×C61C22×Q814yes—
279C2×C4×C61—22no—
280C2×C4×C61—22no—
281C2×C4×C61—22no—
282C2×C4×C61—22no—
283C2×C4×C61—48no—
284C2×C4×C61—42no—
285C2×C4×C61—42no—
286C2×C4×C61—84no—
287C2×C4×C61C22×D412yes—
288C2×C4×C61C22×D412yes—
289C2×C4×C61C22×D411yescharacteristic
290C2×C4×C61C22×Q812yes—
291C2×C4×C612−1+412yes—
292C2×C4×C61C2511yescharacteristic
293C2×Dic61—22no—
294C2×Dic61—22no—
295C2×Dic61—22no—
296C2×Dic61—22no—
297C2×Dic61—22no—
298C2×Dic61—22no—
299C2×Dic61—22no—
300C2×Dic61—22no—
301C2×Dic61—48no—
302C2×Dic61—42no—
303C2×Dic61—42no—
304C2×Dic61—42no—
305C2×Dic61—42no—
306C2×Dic61—84no—
307C2×Dic61—84no—
308C2×Dic61—84no—
309C2×Dic61C22×D412yes—
310C2×Dic61C22×D412yes—
311C2×Dic61C22×D412yes—
312C2×Dic61C22×D412yes—
313Dic122—44no—
314Dic122—84no—
315Dic122—84no—
316C8×C61—22no—
317C8×C61C22×Q814yes—
318#92418—22no—
319#92418—22no—
320C2×#3389—611nomaximal, Sylow
321C22×C61—24no—
322C22×C61—24no—
323C22×C61—48no—
324C22×C61—48no—
325C22×C61—42no—
326C22×C61—42no—
327C22×C61—42no—
328C22×C61—42no—
329C22×C61D4×Q812yes—
330C22×C61#57512yes—
331C22×C61#57612yes—
332C22×C61C23×D411yescharacteristic
333C4×C61—22no—
334C4×C61—22no—
335C4×C61—42no—
336C4×C61—42no—
337C4×C61D4×Q812yes—
338C4×C61C23×Q811yescharacteristic
339C4×C61C2×2−1+411yescharacteristic
340Dic61—22no—
341Dic61—22no—
342Dic61—22no—
343Dic61—22no—
344Dic61—42no—
345Dic61—42no—
346Dic61—42no—
347Dic61—42no—
348C2×#554—611no—
349C2×#554—611no—
350#3389—6116no—
351C2×#501—611no—
352C2×#501—611no—
353C2×#499—611no—
354C2×#478—611no—
355C2×#478—611no—
356C2×#478—611no—
357C2×#478—611no—
358C2×#474—611no—
359C2×#474—611no—
360C2×#446—611no—
361C2×#442—611no—
362C2×#442D6111yescharacteristic
363C2×C4×D8—611no—
364C2×C61—44no—
365C2×C61—44no—
366C2×C61#338914yescomplemented
367C2×C61C2×D4×Q811yescharacteristic
368C2×C61C2×#57511yescharacteristic
369C2×C61C2×#57611yescharacteristic
370C22×D8C2×D6111yescharacteristic
371#554—618no—
372#554—618no—
373#554—1224no—
374#554—1224no—
375C2×C4⋊Q8—611no—
376C2×C4⋊Q8—611no—
377C2×#125—611no—
378C2×#125—611no—
379C2×#125—611no—
380C2×#125—611no—
381C2×C22⋊Q8—1221no—
382C2×C22⋊Q8—1221no—
383C2×C22⋊Q8—1221no—
384C2×C22⋊Q8—1221no—
385C2×C22⋊Q8—1221no—
386C2×C22⋊Q8—1221no—
387C2×C4×Q8—611no—
388C2×C4×D4—611no—
389C2×C4×D4—611no—
390C2×C4×D4—611no—
391C2×C4×D4—611no—
392C2×C4×D4C2×D6111yescharacteristic
393C2×C4×D4C2×D6111yescharacteristic
394C22×C4⋊C4—1221no—
395C22×C4⋊C4—1221no—
396#501—618no—
397#501—618no—
398#499—618no—
399#478—618no—
400#478—618no—
401#478—618no—
402#478—618no—
403#474—618no—
404#474—618no—
405#446—618no—
406#442—618no—
407#442C2×D6118yes—
408C4×D8—618no—
409C2×#107—611no—
410C2×#107—611no—
411C2×#107—611no—
412C2×#107—611no—
413C2×#107—611no—
414C2×#106—611no—
415C2×#106—611no—
416C2×#106—611no—
417C2×#106C2×D6111yescharacteristic
418C2×C4⋊C8—611no—
419C2×C4⋊C8—611no—
420C2×C4⋊C8—611no—
421C2×#102—611no—
422C2×#102—611no—
423C2×#102—611no—
424C2×#102—611no—
425C2×#102C2×D6111yescharacteristic
426C2×#102C2×D6111yescharacteristic
427C2×#97—611no—
428C2×#97C2×D6111yescharacteristic
429C2×C4×C8—611no—
430C61C2×#338911yescharacteristic, complemented, Sylow
431C22×Q8—611no—
432C22×Q8—1221no—
433C22×Q8—1221no—
434C22×D4C22×D6111yescharacteristic
435C22×D4C22×D6111yescharacteristic
436C23×C4—21no—
437C23×C4—21no—
438C23×C4—1221no—
439C23×C4—1221no—
440C23×C4—1221no—
441C23×C4—1221no—
442C2×D8Dic12218yescomplemented
443C2×D8C22×D6114yes—
444C22×C8—611no—
445C22×C8—611no—
446C22×C8C22×D6111yescharacteristic
447C22×C8C22×D6111yescharacteristic
448C4⋊Q8—614no—
449C4⋊Q8—614no—
450C4⋊Q8—1222no—
451C4⋊Q8—1222no—
452#125—614no—
453#125—614no—
454#125—614no—
455#125—614no—
456#125—1222no—
457#125—1222no—
458#125—1222no—
459#125—1222no—
460C22⋊Q8—1228no—
461C22⋊Q8—1228no—
462C22⋊Q8—1228no—
463C22⋊Q8—1228no—
464C22⋊Q8—1228no—
465C22⋊Q8—1228no—
466C4×Q8—614no—
467C4×Q8—614no—
468C4×D4—22no—
469C4×D4—22no—
470C4×D4—614no—
471C4×D4—614no—
472C4×D4—614no—
473C4×D4—614no—
474C4×D4—1222no—
475C4×D4—1222no—
476C4×D4—1222no—
477C4×D4—1222no—
478C4×D4C22×D6114yes—
479C4×D4C22×D6114yes—
480C2×C4⋊C4—611no—
481C2×C4⋊C4—611no—
482C2×C4⋊C4—611no—
483C2×C4⋊C4—611no—
484C2×C4⋊C4—611no—
485C2×C4⋊C4—611no—
486C2×C4⋊C4—611no—
487C2×C4⋊C4—1228no—
488C2×C4⋊C4—1228no—
489C2×C4⋊C4—1221no—
490C2×C4⋊C4—1221no—
491C2×C4⋊C4—1221no—
492C2×C4⋊C4—1221no—
493C2×C4⋊C4—1221no—
494C2×C4⋊C4—1221no—
495C2×C4⋊C4—1221no—
496C2×C4⋊C4—1221no—
497C2×C4⋊C4—1221no—
498C2×C4⋊C4—1221no—
499C2×C4⋊C4C22×D6111yescharacteristic
500C2×C4⋊C4C22×D6111yescharacteristic
501C2×C22⋊C4—21no—
502C2×C22⋊C4—21no—
503C2×C22⋊C4—1221no—
504C2×C22⋊C4—1221no—
505C2×C22⋊C4—1221no—
506C2×C22⋊C4—1221no—
507C2×C42—611no—
508C2×C42—611no—
509C2×C42C22×D6111yescharacteristic
510#107—614no—
511#107—614no—
512#107—614no—
513#107—614no—
514#107—614no—
515#106—614no—
516#106—614no—
517#106—614no—
518#106C22×D6114yes—
519C4⋊C8—614no—
520C4⋊C8—614no—
521C4⋊C8—614no—
522#102—614no—
523#102—614no—
524#102—614no—
525#102—614no—
526#102C22×D6114yes—
527#102C22×D6114yes—
528#97—614no—
529#97C22×D6114yes—
530C4×C8—614no—
531C24—21no—
532C24—21no—
533C2×Q8—614no—
534C2×Q8—1224no—
535C2×Q8—1224no—
536C2×Q8—4882no—
537C2×Q8—4882no—
538C2×Q8—2442no—
539C2×D4—21no—
540C2×D4—21no—
541C2×D4—22no—
542C2×D4—22no—
543C2×D4C2×Dic12214yes—
544C2×D4C2×Dic12214yes—
545C2×D4C23×D6112yes—
546C2×D4C23×D6112yes—
547C22×C4—21no—
548C22×C4—21no—
549C22×C4—24no—
550C22×C4—24no—
551C22×C4—44no—
552C22×C4—82no—
553C22×C4—611no—
554C22×C4—611no—
555C22×C4—611no—
556C22×C4—611no—
557C22×C4—1224no—
558C22×C4—1224no—
559C22×C4—1224no—
560C22×C4—1224no—
561C22×C4—1221no—
562C22×C4—1221no—
563C22×C4—1221no—
564C22×C4—1221no—
565C22×C4—4882no—
566C22×C4—4882no—
567C22×C4—4882no—
568C22×C4—2444no—
569C22×C4D4×D6111yescharacteristic
570C22×C4D4×D6111yescharacteristic
571C22×C4C23×D6111yescharacteristic
572D8C2×Dic122116yescomplemented
573C2×C8—22no—
574C2×C8—612no—
575C2×C8—612no—
576C2×C8—1222no—
577C2×C8—1222no—
578C2×C8C2×Dic12214yes—
579C2×C8C23×D6112yes—
580C2×C8C23×D6112yes—
581C4⋊C4—21no—
582C4⋊C4—21no—
583C4⋊C4—614no—
584C4⋊C4—614no—
585C4⋊C4—614no—
586C4⋊C4—612no—
587C4⋊C4—612no—
588C4⋊C4—612no—
589C4⋊C4—612no—
590C4⋊C4—1224no—
591C4⋊C4—1224no—
592C4⋊C4—1224no—
593C4⋊C4—1224no—
594C4⋊C4—1224no—
595C4⋊C4—1224no—
596C4⋊C4—1224no—
597C4⋊C4—1221no—
598C4⋊C4—1221no—
599C4⋊C4—1221no—
600C4⋊C4—1221no—
601C4⋊C4—1224no—
602C4⋊C4—1224no—
603C4⋊C4—1224no—
604C4⋊C4C23×D6112yes—
605C4⋊C4C23×D6112yes—
606C22⋊C4—24no—
607C22⋊C4—24no—
608C22⋊C4—1224no—
609C22⋊C4—1224no—
610C22⋊C4—1224no—
611C22⋊C4—1224no—
612C42—612no—
613C42—612no—
614C42—612no—
615C42—612no—
616C42D4×D6112yes—
617C42C23×D6112yes—
618C23—22no—
619C23—22no—
620C23—24no—
621C23—24no—
622C23—42no—
623C23—42no—
624C23—42no—
625C23—42no—
626C23C2×D4×D6111yescharacteristic
627Q8—4884no—
628Q8—4884no—
629Q8—2444no—
630D4—22no—
631D4—22no—
632D4—24no—
633D4—24no—
634D4C22×Dic12214yes—
635D4C22×Dic12214yes—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—48no—
641C2×C4—42no—
642C2×C4—42no—
643C2×C4—84no—
644C2×C4—612no—
645C2×C4—612no—
646C2×C4—612no—
647C2×C4—612no—
648C2×C4—1222no—
649C2×C4—1222no—
650C2×C4—1222no—
651C2×C4—1222no—
652C2×C4—1222no—
653C2×C4—1222no—
654C2×C4—1222no—
655C2×C4—1222no—
656C2×C4—4884no—
657C2×C4—4884no—
658C2×C4—4884no—
659C2×C4—2448no—
660C2×C4—2442no—
661C2×C4—2442no—
662C2×C4—2442no—
663C2×C4—2442no—
664C2×C4C2×D4×D6112yes—
665C2×C4C2×D4×D6112yes—
666C2×C4C2×D4×D6111yescharacteristic
667C2×C4C22×Dic12212yes—
668C2×C4#1451982412yes—
669C2×C4C24×D6111yescharacteristic
670C8—22no—
671C8—1222no—
672C8—1222no—
673C8C22×Dic12214yes—
674C22—24no—
675C22—24no—
676C22—42no—
677C22—42no—
678C22—48no—
679C22—48no—
680C22—42no—
681C22—42no—
682C22D4×Dic12212yes—
683C22#1684055812yes—
684C22#1684056612yes—
685C22C22×D4×D6111yescharacteristic
686C4—22no—
687C4—22no—
688C4—42no—
689C4—42no—
690C4—1222no—
691C4—1222no—
692C4—1222no—
693C4—1222no—
694C4—2442no—
695C4—2442no—
696C4—2442no—
697C4—2442no—
698C4D4×Dic12212yes—
699C4C23×Dic12211yescharacteristic
700C4C2×#1451982411yescharacteristic
701C2—44no—
702C2—44no—
703C2#2145877814yesdirect product factor
704C2C2×D4×Dic12211yescharacteristic
705C2C2×#1684055811yescharacteristic
706C2C2×#1684056611yescharacteristic
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×#3389
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×#16840471C2semidirect
2. C2×#16840469C2semidirect
3. #21458778C2direct (N × H)
4. C2×#16840171C2semidirect
5. C2×#16840169C2semidirect
6. C2×#16840162C2semidirect
7. C2×#16840064C2semidirect
8. C2×#16840064C2semidirect
9. C2×#16840062C2semidirect
10. C2×#16840060C2semidirect
11. C2×#16840042C2semidirect
12. C2×#16840040C2semidirect
13. C2×#16839890C2semidirect
18. #16840471C22semidirect
20. #16840469C22semidirect
40. #16840171C22semidirect
41. #16840169C22semidirect
42. #16840162C22semidirect
43. #16840064C22semidirect
44. #16840064C22semidirect
45. #16840062C22semidirect
46. #16840060C22semidirect
47. #16840042C22semidirect
48. #16840040C22semidirect
49. #16839890C22semidirect
160. C2×D8×C61Q8semidirect
218. D8×C61C2×Q8semidirect
366. C2×C61#3389semidirect
430. C61C2×#3389semidirect
442. C2×D8Dic122semidirect
572. D8C2×Dic122semidirect
703. C2#21458778direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#168404712
C2×#168404692
#214587782
C2×#168401712
C2×#168401692
C2×#168401622
C2×#168400642
C2×#168400622
C2×#168400602
C2×#168400422
C2×#168400402
C2×#168398902
C2×#168398742
C2×D8×Dic612
C2×C61×#4422
C2×#338961