Finite Group Databasebeta

← D61⋊#2127 #30623958

Subgroups — D61⋊#2127 #30623958

Order 15616.

1510 conjugacy classes of subgroups.

The subgroup lattice has 792 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D61⋊#99C212yesmaximal, complemented
2#21462097C212yesmaximal, complemented
3#21462096C212yesmaximal, complemented
4#21462095C212yesmaximal, complemented
5#21462094C212yesmaximal, complemented
6D61⋊#354C212yesmaximal, complemented
7D61⋊#353C212yesmaximal, complemented
8#535×D61C211yesmaximal, characteristic
9C22×C22⋊#6923—22no—
10C2×#14519836C2214yescomplemented
11D61⋊#99—22no—
12D61⋊#99—22no—
13D61⋊#99C2214yes—
14D61⋊#99C2214yescomplemented
15C2×#14519835—22no—
16#16840669C2214yescomplemented
17#16840668C2214yescomplemented
18#16840667C2214yescomplemented
19#16840666C2214yescomplemented
20C2×#41×D61C411yescharacteristic, complemented
21C22×D4×D61C2211yescharacteristic
22#16840331C2211yescharacteristic
23#16840330C411yescharacteristic, complemented
24#16840330C2211yescharacteristic
25#16840329C411yescharacteristic, complemented
26#16840328—22no—
27#16840327—22no—
28#16840326C2211yescharacteristic
29#16840325C411yescharacteristic, complemented
30#16840325C2211yescharacteristic
31#127×D61C411yescharacteristic, complemented
32#127×D61C2211yescharacteristic
33#124×D61C411yescharacteristic, complemented
34#124×D61C2211yescharacteristic
35#121×D61—22no—
36#120×D61—22no—
37#117×D61C411yescharacteristic, complemented
38C61×#535C411yescharacteristic, complemented
39C23×#6923—42no—
40C2×C22⋊#6923—24no—
41C2×C22⋊#6923—24no—
42C2×C22⋊#6923—24no—
43C2×C22⋊#6923—42no—
44C2×C22⋊#6923—42no—
45C2×C22⋊#6923—42no—
46#14519836—24no—
47#14519836C2318yes—
48#14519835—24no—
49#14519835—24no—
50C24×D61D412yes—
51C2×#11758226C2×C411yescharacteristic, complemented
52C2×#11758222—21no—
53C2×#11758222C2×C411yescharacteristic, complemented
54C2×#11758224—21no—
55C2×#11758224C2×C411yescharacteristic, complemented
56#41×D61—42no—
57#41×D61—42no—
58C2×Q8×D61C2×C411yescharacteristic, complemented
59C22×D244C2311yescharacteristic
60C22×C22⋊D61D412yes—
61C2×D4×D61—21no—
62C2×D4×D61—22no—
63C2×D4×D61—22no—
64C2×D4×D61—42no—
65C2×D4×D61—42no—
66C2×D4×D61C2×C411yescharacteristic
67C2×D4×D61C2×C411yescharacteristic
68C2×D4×D61C2×C411yescharacteristic, complemented
69C2×D4×D61D412yes—
70C2×D4×D61D412yes—
71C2×D4×D61C2311yescharacteristic
72C2×D4×D61C2311yescharacteristic
73C22×C4×D61—21no—
74C22×C4×D61C2×C411yescharacteristic
75#14519774C2×C411yescharacteristic, complemented
76#14519774C2311yescharacteristic
77#14519773—22no—
78#14519773—22no—
79#14519773C2×C411yescharacteristic, complemented
80#14519773C2×C411yescharacteristic, complemented
81#14519773C2×C411yescharacteristic, complemented
82#14519773C2311yescharacteristic
83#14519766C2×C411yescharacteristic, complemented
84#14519766C2311yescharacteristic
85#14519765C2×C411yescharacteristic, complemented
86#14519765C2311yescharacteristic
87#14519764C2×C411yescharacteristic, complemented
88#14519764C2×C411yescharacteristic, complemented
89#14519763—22no—
90#14519763—22no—
91#14519752—22no—
92#14519751—22no—
93#14519750—22no—
94#14519750—22no—
95#14519749—22no—
96#14519749—22no—
97#14519748—22no—
98#14519747—22no—
99#14519747—22no—
100#14519747—22no—
101#14519746—22no—
102#14519745—22no—
103#14519745—22no—
104#14519745—22no—
105#14519736C2×C411yescharacteristic, complemented
106#14519735—21no—
107#14519734C2×C411yescharacteristic, complemented
108#14519734C2×C411yescharacteristic, complemented
109#14519733—21no—
110C4⋊C4×D61—21no—
111C22⋊C4×D61—21no—
112C22⋊C4×D61—22no—
113C22⋊C4×D61—22no—
114C42×D61C2×C411yescharacteristic, complemented
115C42×D61C2×C411yescharacteristic, complemented
116C2×#41×C61C2×C411yescharacteristic, complemented
117C22×D4×C61C2×C411yescharacteristic
118#127×C61C2×C411yescharacteristic, complemented
119#127×C61C2×C411yescharacteristic, complemented
120#124×C61C2×C411yescharacteristic, complemented
121#124×C61C2×C411yescharacteristic, complemented
122#121×C61—22no—
123#120×C61—22no—
124#117×C61C2×C411yescharacteristic, complemented
125C24×C61C22⋊C412yes—
126C23×D61—22no—
127C23×D61—22no—
128C23×D61—22no—
129C23×D61—22no—
130C23×D61—21no—
131C23×D61—84no—
132C23×D61C22⋊C412yes—
133C23×D61C22⋊C412yes—
134C23×D61C22⋊C411yescharacteristic
135C23×D61C2×D412yes—
136C23×D61C2×D412yes—
137C23×D61C2×D412yes—
138C22×#6923—44no—
139C22×#6923—44no—
140C22×#6923—44no—
141C22×#6923—88no—
142#41×C61—42no—
143C2×Q8×C61C22×C411yescharacteristic, complemented
144C2×D4×C61—21no—
145C2×D4×C61—22no—
146C2×D4×C61—22no—
147C2×D4×C61—42no—
148C2×D4×C61C22⋊C412yes—
149C2×D4×C61C22×C411yescharacteristic
150C2×D4×C61C22×C411yescharacteristic
151C2×D4×C61C22×C411yescharacteristic, complemented
152C22×C4×C61—21no—
153C22×C4×C61C22×C411yescharacteristic
154C2×C22⋊D61—21no—
155C2×C22⋊D61—21no—
156C2×C22⋊D61—22no—
157C2×C22⋊D61—22no—
158C2×C22⋊D61—22no—
159C2×C22⋊D61—22no—
160C2×C22⋊D61—21no—
161C2×C22⋊D61—42no—
162C2×C22⋊D61—42no—
163C2×C22⋊D61C22⋊C412yes—
164C2×C22⋊D61C22⋊C412yes—
165C2×C22⋊D61C2×D412yes—
166C2×C22⋊D61C2×D412yes—
167C22×Dic61—21no—
168C22×Dic61C22⋊C411yescharacteristic
169#11758226—42no—
170Q8×D61—41no—
171Q8×D61—41no—
172#11758224—42no—
173#11758224—44no—
174D4×D61—41no—
175D4×D61—41no—
176D4×D61—42no—
177D4×D61—42no—
178D4×D61—42no—
179D4×D61—42no—
180D4×D61—42no—
181D4×D61—41no—
182D4×D61—41no—
183D4×D61—42no—
184D4×D61—41no—
185D4×D61—41no—
186D4×D61—42no—
187D4×D61—42no—
188D4×D61—84no—
189D4×D61—84no—
190#11758222—44no—
191#11758222—42no—
192C2×D244—21no—
193C2×D244—22no—
194C2×D244—22no—
195C2×D244—42no—
196C2×D244C22×C411yescharacteristic
197C2×D244C22×C411yescharacteristic, complemented
198C2×D244C2×D412yes—
199C2×D244C2411yescharacteristic
200C2×C4×D61—22no—
201C2×C4×D61—22no—
202C2×C4×D61—21no—
203C2×C4×D61—21no—
204C2×C4×D61—21no—
205C2×C4×D61—21no—
206C2×C4×D61—21no—
207C2×C4×D61—42no—
208C2×C4×D61—42no—
209C2×C4×D61C22⋊C411yescharacteristic
210C2×C4×D61C22⋊C411yescharacteristic
211C2×C4×D61C22×C411yescharacteristic
212C2×C4×D61C22×C411yescharacteristic
213C2×Dic122—21no—
214C2×Dic122C22×C411yescharacteristic, complemented
215C22⋊#6923—28no—
216C22⋊#6923—44no—
217C22⋊#6923—44no—
218C22⋊#6923—44no—
219C4⋊C4×C61—21no—
220C22⋊C4×C61—21no—
221C22⋊C4×C61—22no—
222C22⋊C4×C61—22no—
223C42×C61C22×C411yescharacteristic, complemented
224C42×C61C22×C411yescharacteristic, complemented
225C22⋊Dic61—21no—
226C22⋊Dic61—22no—
227C22⋊Dic61—22no—
228#11758198—21no—
229#11758198—21no—
230#11758198—22no—
231#11758198—22no—
232#11758198—22no—
233#11758198—22no—
234C4⋊Dic61—21no—
235#11758196—21no—
236#11758196—21no—
237C4×Dic61—21no—
238C4×Dic61—21no—
239C4×Dic61C22×C411yescharacteristic, complemented
240C4×Dic61C22×C411yescharacteristic, complemented
241C23×C61—22no—
242C23×C61—22no—
243C23×C61—21no—
244C23×C61—82no—
245C23×C61C2×C22⋊C412yes—
246C23×C61C2×C22⋊C412yes—
247C23×C61C2×C22⋊C411yescharacteristic
248C22×D61—22no—
249C22×D61—22no—
250C22×D61—22no—
251C22×D61—22no—
252C22×D61—22no—
253C22×D61—22no—
254C22×D61—22no—
255C22×D61—22no—
256C22×D61—22no—
257C22×D61—22no—
258C22×D61—21no—
259C22×D61—42no—
260C22×D61—48no—
261C22×D61—44no—
262C22×D61—44no—
263C22×D61—44no—
264C22×D61—41no—
265C22×D61—41no—
266C22×D61—84no—
267C22×D61—82no—
268C22×D61—82no—
269C22×D61—82no—
270C22×D61—84no—
271C22×D61—84no—
272C22×D61#9912yes—
273C22×D61#9912yes—
274C22×D61C2×C22⋊C411yescharacteristic
275C22×D61C2×C22⋊C412yes—
276C22×D61C2×C22⋊C411yescharacteristic
277C22×D61C22×D412yes—
278C2×#6923—48no—
279C2×#6923—88no—
280C2×#6923—88no—
281C2×#6923—88no—
282Q8×C61—41no—
283D4×C61—42no—
284D4×C61—41no—
285D4×C61—41no—
286D4×C61—41no—
287D4×C61—42no—
288D4×C61—82no—
289D4×C61—82no—
290C2×C4×C61—22no—
291C2×C4×C61—21no—
292C2×C4×C61—21no—
293C2×C4×C61—21no—
294C2×C4×C61—42no—
295C2×C4×C61C2×C22⋊C411yescharacteristic
296C2×C4×C61C23×C411yescharacteristic
297C22⋊D61—42no—
298C22⋊D61—42no—
299C22⋊D61—42no—
300C22⋊D61—42no—
301C22⋊D61—42no—
302C22⋊D61—42no—
303C22⋊D61—42no—
304C22⋊D61—82no—
305C22⋊D61—82no—
306C22⋊D61—82no—
307C22⋊D61—82no—
308C2×Dic61—22no—
309C2×Dic61—21no—
310C2×Dic61—21no—
311C2×Dic61—21no—
312C2×Dic61—42no—
313C2×Dic61C2×C22⋊C411yescharacteristic
314C2×Dic61C2×C22⋊C411yescharacteristic
315D244—41no—
316D244—42no—
317D244—41no—
318D244—41no—
319D244—42no—
320D244—82no—
321D244—82no—
322C4×D61—21no—
323C4×D61—21no—
324C4×D61—22no—
325C4×D61—21no—
326C4×D61—21no—
327C4×D61—22no—
328C4×D61—42no—
329C4×D61—42no—
330C4×D61—42no—
331C4×D61—42no—
332C4×D61—41no—
333C4×D61—41no—
334Dic122—42no—
335Dic122—41no—
336C2×#2127—611nomaximal, Sylow
337C22×C61—22no—
338C22×C61—22no—
339C22×C61—41no—
340C22×C61—42no—
341C22×C61—42no—
342C22×C61—44no—
343C22×C61—42no—
344C22×C61—41no—
345C22×C61—82no—
346C22×C61C2×#9912yes—
347C22×C61C22×C22⋊C411yescharacteristic
348C2×D61—22no—
349C2×D61—24no—
350C2×D61—22no—
351C2×D61—22no—
352C2×D61—42no—
353C2×D61—41no—
354C2×D61—44no—
355C2×D61—44no—
356C2×D61—44no—
357C2×D61—44no—
358C2×D61—44no—
359C2×D61—42no—
360C2×D61—42no—
361C2×D61—42no—
362C2×D61—41no—
363C2×D61—82no—
364C2×D61—82no—
365C2×D61—82no—
366C2×D61—82no—
367C2×D61—82no—
368C2×D61—82no—
369C2×D61—82no—
370C2×D61C2×#9911yescharacteristic
371C2×D61C2×#9912yes—
372C2×D61C2×#9911yescharacteristic
373#6923—88no—
374C4×C61—21no—
375C4×C61—21no—
376C4×C61—41no—
377C4×C61—41no—
378C4×C61—41no—
379Dic61—21no—
380Dic61—21no—
381Dic61—41no—
382Dic61—41no—
383Dic61—41no—
384C2×#535—611no—
385C22×#99—612no—
386#2127—612no—
387#2127—612no—
388#2127—612no—
389#2127—612no—
390C2×#354—612no—
391C2×#353—612no—
392C2×C61—21no—
393C2×C61—22no—
394C2×C61—42no—
395C2×C61—42no—
396C2×C61—81no—
397C2×C61C22×#9911yescharacteristic
398D61—22no—
399D61—21no—
400D61—42no—
401D61—42no—
402D61—81no—
403D61#212712yescomplemented
404C22×#41—611no—
405C23×D4—611no—
406#535—611no—
407#535—611no—
408#535—611no—
409#535—611no—
410#535—611no—
411#535—611no—
412#535—611no—
413#535—1222no—
414#535—1222no—
415#535#692311yescharacteristic, complemented
416C2×#127—611no—
417C2×#127—611no—
418C2×#124—611no—
419C2×#124—611no—
420C2×#121—1222no—
421C2×#120—1222no—
422C2×#117—611no—
423C22×C22⋊C4—1222no—
424C2×#99—614no—
425C2×#99—614no—
426C2×#99—614no—
427C2×#99—1222no—
428C2×#99—1222no—
429C2×#99—1222no—
430#354—614no—
431#354—614no—
432#353—614no—
433#353—614no—
434C61C2×#212711yescharacteristic, complemented, Sylow
435C25—612no—
436C2×#41—611no—
437C2×#41—611no—
438C2×#41—611no—
439C2×#41—1221no—
440C2×#41—1221no—
441C2×#41—2442no—
442C2×#41—2442no—
443C2×#41C2×#692311yescharacteristic, complemented
444C22×Q8—611no—
445C22×D4—612no—
446C22×D4—612no—
447C22×D4—612no—
448C22×D4—611no—
449C22×D4—611no—
450C22×D4—611no—
451C22×D4—611no—
452C22×D4—611no—
453C22×D4—611no—
454C22×D4—1222no—
455C22×D4—1222no—
456C22×D4—1221no—
457C22×D4—2442no—
458C22×D4—2442no—
459C22×D4C2×#692311yescharacteristic
460C23×C4—611no—
461C23×C4—1221no—
462C23×C4—2442no—
463#127—611no—
464#127—611no—
465#127—611no—
466#127—611no—
467#127—611no—
468#127—611no—
469#127—1222no—
470#127—1222no—
471#127C2×#692311yescharacteristic, complemented
472#127C2×#692311yescharacteristic, complemented
473#124—611no—
474#124—611no—
475#124—611no—
476#124—611no—
477#124—611no—
478#124—611no—
479#124—1222no—
480#124—1222no—
481#124C2×#692311yescharacteristic, complemented
482#124C2×#692311yescharacteristic, complemented
483#121—22no—
484#121—1222no—
485#121—1222no—
486#121—1222no—
487#121—1222no—
488#121—1222no—
489#121—1222no—
490#121—1222no—
491#120—22no—
492#120—1222no—
493#120—1222no—
494#120—1222no—
495#120—1222no—
496#120—1222no—
497#120—1222no—
498#120—1222no—
499#117—611no—
500#117—611no—
501#117—611no—
502#117—1221no—
503#117—1221no—
504#117C2×#692311yescharacteristic, complemented
505C2×C4⋊C4—1221no—
506C2×C22⋊C4—1221no—
507C2×C22⋊C4—1222no—
508C2×C22⋊C4—1222no—
509C2×C22⋊C4—1224no—
510C2×C22⋊C4—1224no—
511C2×C22⋊C4—1224no—
512C2×C22⋊C4—2442no—
513C2×C22⋊C4—2442no—
514C2×C22⋊C4—2442no—
515C2×C42—611no—
516C2×C42—611no—
517#99—618no—
518#99—1224no—
519#99—1224no—
520#99—1224no—
521C24—611no—
522C24—612no—
523C24—612no—
524C24—612no—
525C24—612no—
526C24—612no—
527C24—1222no—
528C24—1222no—
529C24—1222no—
530C24—1222no—
531C24—1221no—
532C24—4884no—
533C24C22⋊#692312yes—
534#41—42no—
535#41—2442no—
536#41—2444no—
537#41—2444no—
538#41—2442no—
539#41—2442no—
540C2×Q8—611no—
541C2×Q8—1221no—
542C2×Q8—2441no—
543C2×Q8—2441no—
544C2×Q8C22×#692311yescharacteristic, complemented
545C2×D4—21no—
546C2×D4—22no—
547C2×D4—22no—
548C2×D4—42no—
549C2×D4—612no—
550C2×D4—612no—
551C2×D4—612no—
552C2×D4—612no—
553C2×D4—612no—
554C2×D4—611no—
555C2×D4—611no—
556C2×D4—611no—
557C2×D4—1222no—
558C2×D4—1222no—
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×D4—4884no—
568C2×D4—4884no—
569C2×D4—2442no—
570C2×D4—2442no—
571C2×D4—2442no—
572C2×D4—2441no—
573C2×D4—2441no—
574C2×D4—2441no—
575C2×D4—2441no—
576C2×D4—2442no—
577C2×D4—2442no—
578C2×D4—2442no—
579C2×D4—2442no—
580C2×D4—2441no—
581C2×D4—2441no—
582C2×D4—2442no—
583C2×D4—2442no—
584C2×D4—2442no—
585C2×D4—2442no—
586C2×D4C22⋊#692312yes—
587C2×D4C22×#692311yescharacteristic
588C2×D4C22×#692311yescharacteristic
589C2×D4C22×#692311yescharacteristic, complemented
590C22×C4—21no—
591C22×C4—611no—
592C22×C4—611no—
593C22×C4—611no—
594C22×C4—611no—
595C22×C4—611no—
596C22×C4—1221no—
597C22×C4—1222no—
598C22×C4—1222no—
599C22×C4—1221no—
600C22×C4—1221no—
601C22×C4—1221no—
602C22×C4—1221no—
603C22×C4—1221no—
604C22×C4—4888no—
605C22×C4—2442no—
606C22×C4—2442no—
607C22×C4—2444no—
608C22×C4—2444no—
609C22×C4—2444no—
610C22×C4C22×#692311yescharacteristic
611C4⋊C4—21no—
612C4⋊C4—1221no—
613C4⋊C4—1221no—
614C4⋊C4—1221no—
615C22⋊C4—22no—
616C22⋊C4—22no—
617C22⋊C4—21no—
618C22⋊C4—1221no—
619C22⋊C4—1221no—
620C22⋊C4—1222no—
621C22⋊C4—1222no—
622C22⋊C4—1222no—
623C22⋊C4—1222no—
624C22⋊C4—1222no—
625C22⋊C4—1222no—
626C22⋊C4—1221no—
627C22⋊C4—1228no—
628C22⋊C4—2444no—
629C22⋊C4—2444no—
630C22⋊C4—2444no—
631C42—611no—
632C42—611no—
633C42—1221no—
634C42—1221no—
635C42C22×#692311yescharacteristic, complemented
636C42C22×#692311yescharacteristic, complemented
637C23—22no—
638C23—22no—
639C23—21no—
640C23—82no—
641C23—612no—
642C23—611no—
643C23—612no—
644C23—611no—
645C23—612no—
646C23—612no—
647C23—1222no—
648C23—1222no—
649C23—1222no—
650C23—1222no—
651C23—1222no—
652C23—1222no—
653C23—1222no—
654C23—1222no—
655C23—1222no—
656C23—1222no—
657C23—1221no—
658C23—4884no—
659C23—4882no—
660C23—4882no—
661C23—4882no—
662C23—4884no—
663C23—4884no—
664C23—2441no—
665C23—2441no—
666C23—2442no—
667C23—2444no—
668C23—2444no—
669C23—2444no—
670C23—2448no—
671C23C2×C22⋊#692312yes—
672C23C2×C22⋊#692312yes—
673C23C2×C22⋊#692311yescharacteristic
674Q8—41no—
675Q8—2441no—
676Q8—2442no—
677D4—42no—
678D4—41no—
679D4—41no—
680D4—41no—
681D4—42no—
682D4—82no—
683D4—82no—
684D4—4882no—
685D4—4882no—
686D4—4882no—
687D4—4882no—
688D4—4882no—
689D4—4882no—
690D4—2442no—
691D4—2441no—
692D4—2441no—
693D4—2441no—
694D4—2442no—
695D4—2442no—
696D4—2442no—
697D4—2442no—
698D4—2442no—
699D4—2442no—
700D4—2442no—
701D4—2442no—
702C2×C4—22no—
703C2×C4—21no—
704C2×C4—21no—
705C2×C4—21no—
706C2×C4—42no—
707C2×C4—611no—
708C2×C4—611no—
709C2×C4—1221no—
710C2×C4—1221no—
711C2×C4—1221no—
712C2×C4—1221no—
713C2×C4—1222no—
714C2×C4—1222no—
715C2×C4—1222no—
716C2×C4—1221no—
717C2×C4—1221no—
718C2×C4—1221no—
719C2×C4—4888no—
720C2×C4—4888no—
721C2×C4—4888no—
722C2×C4—2442no—
723C2×C4—2442no—
724C2×C4—2441no—
725C2×C4—2441no—
726C2×C4—2442no—
727C2×C4—2442no—
728C2×C4—2442no—
729C2×C4—2448no—
730C2×C4C2×C22⋊#692311yescharacteristic
731C2×C4C23×#692311yescharacteristic
732C22—22no—
733C22—22no—
734C22—41no—
735C22—42no—
736C22—42no—
737C22—44no—
738C22—42no—
739C22—41no—
740C22—82no—
741C22—611no—
742C22—611no—
743C22—612no—
744C22—1222no—
745C22—1224no—
746C22—1222no—
747C22—1222no—
748C22—4882no—
749C22—4882no—
750C22—4882no—
751C22—4882no—
752C22—4882no—
753C22—4882no—
754C22—4882no—
755C22—2441no—
756C22—2442no—
757C22—2442no—
758C22—2442no—
759C22—2442no—
760C22—2444no—
761C22—2444no—
762C22—2444no—
763C22—2444no—
764C22—2444no—
765C22—2441no—
766C22D61⋊#9912yes—
767C22C22×C22⋊#692311yescharacteristic
768C4—21no—
769C4—21no—
770C4—41no—
771C4—41no—
772C4—41no—
773C4—1221no—
774C4—1221no—
775C4—4888no—
776C4—2441no—
777C4—2441no—
778C4—2441no—
779C2—21no—
780C2—22no—
781C2—42no—
782C2—42no—
783C2—81no—
784C2—612no—
785C2—1221no—
786C2—1222no—
787C2—4881no—
788C2—2442no—
789C2—2442no—
790C2C2×D61⋊#9911yescharacteristic
subgroupG/H
centerC2C2×D61⋊#99
commutatorC2×C4×C61C23×C4
FrattiniC2×C4C23×#6923
FittingC61×#535C4
socleC2×C61C22×#99
prime radical#535×D61C2
cosocleC2×D244C24
hypercenter#535#6923
hypocenterC61C2×#2127
LCSG ▷ C2×C4×C61 ▷ C22×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C2 ◁ C23 ◁ C22×D4 ◁ #535

Complements

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

NH ≅ G/Ntype
1. C2×D61⋊#99C2semidirect
2. #21462097C2semidirect
3. #21462096C2semidirect
4. #21462095C2semidirect
5. #21462094C2semidirect
6. D61⋊#354C2semidirect
7. D61⋊#353C2semidirect
10. C2×#14519836C22semidirect
14. D61⋊#99C22semidirect
16. #16840669C22semidirect
17. #16840668C22semidirect
18. #16840667C22semidirect
19. #16840666C22semidirect
20. C2×#41×D61C4semidirect
23. #16840330C4semidirect
25. #16840329C4semidirect
29. #16840325C4semidirect
31. #127×D61C4semidirect
33. #124×D61C4semidirect
37. #117×D61C4semidirect
38. C61×#535C4semidirect
51. C2×#11758226C2×C4semidirect
53. C2×#11758222C2×C4semidirect
55. C2×#11758224C2×C4semidirect
58. C2×Q8×D61C2×C4semidirect
68. C2×D4×D61C2×C4semidirect
75. #14519774C2×C4semidirect
79. #14519773C2×C4semidirect
80. #14519773C2×C4semidirect
81. #14519773C2×C4semidirect
83. #14519766C2×C4semidirect
85. #14519765C2×C4semidirect
87. #14519764C2×C4semidirect
88. #14519764C2×C4semidirect
105. #14519736C2×C4semidirect
107. #14519734C2×C4semidirect
108. #14519734C2×C4semidirect
114. C42×D61C2×C4semidirect
115. C42×D61C2×C4semidirect
116. C2×#41×C61C2×C4semidirect
118. #127×C61C2×C4semidirect
119. #127×C61C2×C4semidirect
120. #124×C61C2×C4semidirect
121. #124×C61C2×C4semidirect
124. #117×C61C2×C4semidirect
143. C2×Q8×C61C22×C4semidirect
151. C2×D4×C61C22×C4semidirect
197. C2×D244C22×C4semidirect
214. C2×Dic122C22×C4semidirect
223. C42×C61C22×C4semidirect
224. C42×C61C22×C4semidirect
239. C4×Dic61C22×C4semidirect
240. C4×Dic61C22×C4semidirect
403. D61#2127semidirect
415. #535#6923semidirect
434. C61C2×#2127semidirect
443. C2×#41C2×#6923semidirect
471. #127C2×#6923semidirect
472. #127C2×#6923semidirect
481. #124C2×#6923semidirect
482. #124C2×#6923semidirect
504. #117C2×#6923semidirect
544. C2×Q8C22×#6923semidirect
589. C2×D4C22×#6923semidirect
635. C42C22×#6923semidirect
636. C42C22×#6923semidirect

Maximal subgroups

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

subgroupindex
C2×D61⋊#992
#214620972
#214620962
#214620952
#214620942
D61⋊#3542
D61⋊#3532
#535×D612
C2×#212761