Finite Group Databasebeta

← D61⋊#1478 #30610385

Subgroups — D61⋊#1478 #30610385

Order 15616.

1714 conjugacy classes of subgroups.

The subgroup lattice has 712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1D61⋊#431C211yesmaximal, characteristic, complemented
2D61⋊#431C211yesmaximal, characteristic, complemented
3#21461120C212yesmaximal, complemented
4#21461119C214yesmaximal, complemented
5#21461118C212yesmaximal, complemented
6D61⋊(D4⋊C8)C214yesmaximal, complemented
7C2×C4×D4×D61C211yesmaximal, characteristic
8#16840781—21no—
9#16840781C2212yescomplemented
10#16840780—21no—
11#16840780C2212yescomplemented
12#16840779—21no—
13#16840779—21no—
14#16840778C2212yescomplemented
15#16840778C2212yescomplemented
16D61⋊(C4⋊C8)—21no—
17D61⋊(C4⋊C8)C2212yescomplemented
18D61⋊(C22⋊C8)—21no—
19D61⋊(C22⋊C8)—21no—
20C4×D61⋊C8—21no—
21C4×D61⋊C8C2212yescomplemented
22#16840610C2218yescomplemented
23D4⋊#92420C2218yescomplemented
24C22×D4×D61C411yescharacteristic
25C23×C4×D61—21no—
26C2×C4×D244C411yescharacteristic
27C2×D4×Dic61C2211yescharacteristic
28C2×#14519739C2211yescharacteristic
29C2×C4×C22⋊D61—21no—
30C2×#14519737—21no—
31C4×D4×D61—21no—
32C4×D4×D61—21no—
33C4×D4×D61—21no—
34C4×D4×D61—21no—
35C4×D4×D61C412yes—
36C4×D4×D61C412yes—
37C4×D4×D61C2212yes—
38C4×D4×D61C2212yes—
39C2×C4⋊C4×D61C411yescharacteristic
40C2×C22⋊C4×D61—21no—
41C2×C42×D61C2211yescharacteristic
42C2×C4×D4×C61C411yescharacteristic
43C2×D61⋊C8—22no—
44C2×D61⋊C8—22no—
45#14519844—22no—
46#14519844—22no—
47C4⋊#92420—22no—
48C4⋊#92420C2314yescomplemented
49#14519834—22no—
50#14519834—22no—
51C22⋊#92420—22no—
52C22⋊#92420—22no—
53C4×#92420—22no—
54C4×#92420—22no—
55C4×#92420—22no—
56C4×#92420C2314yescomplemented
57C24×D61—21no—
58C22×D244C2×C411yescharacteristic
59C22×C22⋊D61—21no—
60C2×D4×D61—21no—
61C2×D4×D61—21no—
62C2×D4×D61—24no—
63C2×D4×D61C818yescomplemented
64C2×D4×D61C2×C412yes—
65C2×D4×D61C2×C412yes—
66C23×Dic61—21no—
67C22×C4×D61—21no—
68C22×C4×D61—21no—
69C22×C4×D61—21no—
70C22×C4×D61—22no—
71C22×C4×D61—22no—
72C22×C4×D61—22no—
73C22×C4×D61—22no—
74C22×C4×D61—48no—
75C22×C4×D61C2×C411yescharacteristic
76C22×C4×D61D411yescharacteristic
77C22×C4×D61D411yescharacteristic
78C4×D244—21no—
79C4×D244—21no—
80C4×D244C2×C412yes—
81C4×D244C2×C412yes—
82D4×Dic61—21no—
83D4×Dic61—21no—
84D4×Dic61C2×C412yes—
85D4×Dic61C2312yes—
86#14519739—21no—
87#14519739—21no—
88#14519739C2×C412yes—
89#14519739C2312yes—
90C4×C22⋊D61—22no—
91C4×C22⋊D61—22no—
92C4×C22⋊D61—22no—
93C4×C22⋊D61—22no—
94#14519737—22no—
95#14519737—22no—
96#14519737—22no—
97#14519737—22no—
98C2×C4⋊Dic61C2×C411yescharacteristic
99C2×#11758196—21no—
100C4⋊C4×D61—21no—
101C4⋊C4×D61—21no—
102C4⋊C4×D61C2×C412yes—
103C4⋊C4×D61C2×C412yes—
104C2×C22⋊Dic61—21no—
105C2×#11758198—21no—
106C2×#11758198—21no—
107C22⋊C4×D61—22no—
108C22⋊C4×D61—22no—
109C22⋊C4×D61—22no—
110C22⋊C4×D61—22no—
111C2×C4×Dic61D411yescharacteristic
112C2×C4×Dic61D411yescharacteristic
113C2×C4×Dic61C2311yescharacteristic
114C42×D61C2×C411yescharacteristic
115C42×D61C2×C411yescharacteristic
116C42×D61D411yescharacteristic
117C42×D61D411yescharacteristic
118C42×D61D411yescharacteristic
119C42×D61D411yescharacteristic
120C42×D61C2311yescharacteristic
121C42×D61C2311yescharacteristic
122C22×D4×C61C2×C411yescharacteristic
123C23×C4×C61—21no—
124C4×D4×C61—21no—
125C4×D4×C61—21no—
126C4×D4×C61C2×C412yes—
127C4×D4×C61C2×C412yes—
128C2×C4⋊C4×C61C2×C411yescharacteristic
129C2×C22⋊C4×C61—21no—
130C2×C42×C61C2×C411yescharacteristic
131C24×C61—21no—
132C23×D61—21no—
133C23×D61—28no—
134C23×D61—22no—
135C23×D61—22no—
136C23×D61—44no—
137C23×D61—44no—
138C23×D61C22⋊C411yescharacteristic
139C2×D4×C61—21no—
140C2×D4×C61—22no—
141C2×D4×C61C2×C814yescomplemented
142C2×D4×C61C22×C412yes—
143C22×C4×C61—21no—
144C22×C4×C61—22no—
145C22×C4×C61—22no—
146C22×C4×C61—44no—
147C22×C4×C61C22⋊C411yescharacteristic
148C22×C4×C61C22⋊C411yescharacteristic
149C22×C4×C61C22×C411yescharacteristic
150C2×C22⋊D61—28no—
151C2×C22⋊D61—22no—
152C2×C22⋊D61—22no—
153C22×Dic61—21no—
154C22×Dic61—22no—
155C22×Dic61—22no—
156C22×Dic61—44no—
157C22×Dic61C22⋊C411yescharacteristic
158C22×Dic61C2×D411yescharacteristic
159C22×Dic61C2×D411yescharacteristic
160D4×D61—28no—
161D4×D61—28no—
162D4×D61—24no—
163D4×D61—24no—
164D4×D61C2×C818yes—
165D4×D61C2×C818yescomplemented
166C2×D244—21no—
167C2×D244—22no—
168C2×D244C2×C814yescomplemented
169C2×D244C22×C412yes—
170C2×C4×D61—24no—
171C2×C4×D61—22no—
172C2×C4×D61—22no—
173C2×C4×D61—22no—
174C2×C4×D61—22no—
175C2×C4×D61—22no—
176C2×C4×D61—22no—
177C2×C4×D61—42no—
178C2×C4×D61—48no—
179C2×C4×D61—48no—
180C2×C4×D61—48no—
181C2×C4×D61—44no—
182C2×C4×D61—44no—
183C2×C4×D61—44no—
184C2×C4×D61—48no—
185C2×C4×D61C22⋊C411yescharacteristic
186C2×C4×D61C22⋊C411yescharacteristic
187C2×C4×D61C22⋊C411yescharacteristic
188C2×C4×D61C22⋊C411yescharacteristic
189C2×C4×D61C22⋊C411yescharacteristic
190C2×C4×D61C22⋊C411yescharacteristic
191C2×C4×D61C2×C814yes—
192C2×C4×D61M1614yes—
193C2×C4×D61C22×C411yescharacteristic
194C2×C4×D61C22×C411yescharacteristic
195C2×C4×D61C2×D411yescharacteristic
196C2×C4×D61C2×D411yescharacteristic
197C2×C4×D61C2×D411yescharacteristic
198C2×C4×D61C2×D411yescharacteristic
199C2×#92420—24no—
200C2×#92420—24no—
201D61⋊C8—44no—
202D61⋊C8—44no—
203C4⋊C4×C61—21no—
204C4⋊C4×C61C22×C412yes—
205C22⋊C4×C61—22no—
206C22⋊C4×C61—22no—
207C42×C61C22⋊C411yescharacteristic
208C42×C61C22⋊C411yescharacteristic
209C42×C61C22×C411yescharacteristic
210C42×C61C22×C411yescharacteristic
211C22⋊Dic61—22no—
212C22⋊Dic61—22no—
213#11758198—22no—
214#11758198—22no—
215#11758198—22no—
216#11758198—22no—
217C4⋊Dic61—21no—
218C4⋊Dic61C22×C412yes—
219#11758196—22no—
220#11758196—22no—
221C4×Dic61C22⋊C411yescharacteristic
222C4×Dic61C22⋊C411yescharacteristic
223C4×Dic61C22⋊C411yescharacteristic
224C4×Dic61C22⋊C411yescharacteristic
225C4×Dic61C22×C411yescharacteristic
226C4×Dic61C2×D411yescharacteristic
227C4×Dic61C2×D411yescharacteristic
228C4×Dic61C2×D411yescharacteristic
229C4×Dic61C2×D411yescharacteristic
230C4×Dic61C2×D411yescharacteristic
231C4×Dic61C2×D411yescharacteristic
232C4×Dic61C2411yescharacteristic
233C23×C61—22no—
234C23×C61—24no—
235C23×C61—42no—
236C23×C61—42no—
237C23×C61C2×C22⋊C411yescharacteristic
238C22×D61—22no—
239C22×D61—22no—
240C22×D61—22no—
241C22×D61—24no—
242C22×D61—28no—
243C22×D61—28no—
244C22×D61—44no—
245C22×D61—44no—
246C22×D61—432no—
247C22×D61—42no—
248C22×D61—42no—
249C22×D61—44no—
250C22×D61—44no—
251C22×D61C22⋊C814yes—
252C22×D61C2×C22⋊C411yescharacteristic
253C22×D61C2×C22⋊C411yescharacteristic
254D4×C61—22no—
255D4×C61—24no—
256D4×C61C22×C814yes—
257C2×C4×C61—22no—
258C2×C4×C61—22no—
259C2×C4×C61—41no—
260C2×C4×C61—44no—
261C2×C4×C61—42no—
262C2×C4×C61—44no—
263C2×C4×C61C2×C22⋊C411yescharacteristic
264C2×C4×C61C2×C22⋊C411yescharacteristic
265C2×C4×C61C2×C22⋊C411yescharacteristic
266C2×C4×C61C2×C22⋊C411yescharacteristic
267C2×C4×C61C2×C22⋊C411yescharacteristic
268C2×C4×C61C22×C812yes—
269C2×C4×C61C2×M1612yes—
270C2×C4×C61C23×C411yescharacteristic
271C22⋊D61—28no—
272C22⋊D61—28no—
273C2×Dic61—22no—
274C2×Dic61—22no—
275C2×Dic61—41no—
276C2×Dic61—44no—
277C2×Dic61—42no—
278C2×Dic61—44no—
279C2×Dic61C22⋊C814yes—
280C2×Dic61C2×C22⋊C411yescharacteristic
281C2×Dic61C2×C22⋊C411yescharacteristic
282C2×Dic61C2×C22⋊C411yescharacteristic
283C2×Dic61C2×C22⋊C411yescharacteristic
284C2×Dic61C22×D411yescharacteristic
285C2×Dic61C22×D411yescharacteristic
286D244—22no—
287D244—24no—
288D244C22×C814yes—
289C4×D61—22no—
290C4×D61—22no—
291C4×D61—22no—
292C4×D61—22no—
293C4×D61—22no—
294C4×D61—41no—
295C4×D61—41no—
296C4×D61—44no—
297C4×D61—44no—
298C4×D61—44no—
299C4×D61—44no—
300C4×D61—44no—
301C4×D61—44no—
302C4×D61C22⋊C814yes—
303C4×D61C22⋊C814yes—
304C4×D61C22×C812yes—
305C4×D61C22×C812yes—
306C4×D61C2×M1612yes—
307C4×D61C2×M1612yes—
308C4×D61AGL(1,ℤ/8)14yes—
309#92420—44no—
310#92420—44no—
311C2×#1478—611nomaximal, Sylow
312C22×C61—21no—
313C22×C61—21no—
314C22×C61—24no—
315C22×C61—48no—
316C22×C61—42no—
317C22×C61—42no—
318C22×C61C2×C22⋊C812yes—
319C22×C61C22×C22⋊C411yescharacteristic
320C2×D61—21no—
321C2×D61—21no—
322C2×D61—28no—
323C2×D61—24no—
324C2×D61—416no—
325C2×D61—48no—
326C2×D61—42no—
327C2×D61—42no—
328C2×D61—416no—
329C2×D61C2×C22⋊C812yes—
330C2×D61C2×C22⋊C812yes—
331C2×D61#41812yes—
332C2×D61#42112yes—
333C4×C61—21no—
334C4×C61—21no—
335C4×C61—21no—
336C4×C61—42no—
337C4×C61C2×C22⋊C812yes—
338C4×C61#41812yes—
339C4×C61C23×C811yescharacteristic
340C4×C61C22×M1611yescharacteristic
341Dic61—21no—
342Dic61—21no—
343Dic61—21no—
344Dic61—42no—
345Dic61C2×C22⋊C812yes—
346Dic61C2×C22⋊C812yes—
347Dic61C2×AGL(1,ℤ/8)12yes—
348C22×C4×D4—611no—
349C2×#431—611no—
350C2×#431—611no—
351#1478—612no—
352#1478—614no—
353#1478—612no—
354C2×D4⋊C8—614no—
355C2×C61—22no—
356C2×C61—44no—
357C2×C61C22×C22⋊C811yescharacteristic
358C2×C61C2×#41811yescharacteristic
359C2×C61C2×#42111yescharacteristic
360D61—22no—
361D61—44no—
362D61#147814yescomplemented
363C23×D4—611no—
364C24×C4—1221no—
365C2×C4×D4—611no—
366C2×C4×D4—612no—
367C2×C4×D4—612no—
368C2×C4×D4—612no—
369C2×C4×D4—612no—
370C2×C4×D4—611no—
371C2×C4×D4—611no—
372C2×C4×D4—1221no—
373C2×C4×D4—1221no—
374C2×C4×D4—1221no—
375C2×C4×D4—1221no—
376C2×C4×D4—1221no—
377C2×C4×D4—1221no—
378C2×C4×D4#692311yescharacteristic
379C22×C4⋊C4—611no—
380C22×C22⋊C4—1221no—
381C22×C42—611no—
382#431—612no—
383#431—612no—
384#431—612no—
385#431—612no—
386#431—1221no—
387#431—1221no—
388#431—1221no—
389#431—1221no—
390C2×C4⋊C8—612no—
391C2×C4⋊C8—1221no—
392C2×C22⋊C8—1221no—
393C2×C22⋊C8—1221no—
394C2×C4×C8—612no—
395C2×C4×C8—1221no—
396D4⋊C8—618no—
397D4⋊C8—618no—
398C61C2×#147811yescharacteristic, complemented, Sylow
399C25—1221no—
400C22×D4—618no—
401C22×D4—612no—
402C22×D4—612no—
403C22×D4—611no—
404C22×D4—1221no—
405C22×D4—1221no—
406C22×D4—1224no—
407C22×D4—1221no—
408C22×D4C2×#692311yescharacteristic
409C23×C4—21no—
410C23×C4—611no—
411C23×C4—611no—
412C23×C4—611no—
413C23×C4—1221no—
414C23×C4—1222no—
415C23×C4—1222no—
416C23×C4—1222no—
417C23×C4—1222no—
418C23×C4—1221no—
419C23×C4—1221no—
420C23×C4—1221no—
421C23×C4—2448no—
422C22×C8—1222no—
423C22×C8—1222no—
424C4×D4—21no—
425C4×D4—21no—
426C4×D4—612no—
427C4×D4—612no—
428C4×D4—612no—
429C4×D4—612no—
430C4×D4—612no—
431C4×D4—612no—
432C4×D4—1222no—
433C4×D4—1222no—
434C4×D4—1222no—
435C4×D4—1222no—
436C4×D4—1221no—
437C4×D4—1221no—
438C4×D4—1222no—
439C4×D4—1222no—
440C4×D4—1222no—
441C4×D4—1222no—
442C4×D4—1221no—
443C4×D4—1221no—
444C4×D4—1221no—
445C4×D4—1221no—
446C4×D4C2×#692312yes—
447C4×D4C2×#692312yes—
448C2×C4⋊C4—611no—
449C2×C4⋊C4—612no—
450C2×C4⋊C4—612no—
451C2×C4⋊C4—1221no—
452C2×C4⋊C4—1221no—
453C2×C4⋊C4—1221no—
454C2×C4⋊C4C2×#692311yescharacteristic
455C2×C22⋊C4—21no—
456C2×C22⋊C4—1222no—
457C2×C22⋊C4—1222no—
458C2×C22⋊C4—1222no—
459C2×C22⋊C4—1222no—
460C2×C22⋊C4—1221no—
461C2×C22⋊C4—1221no—
462C2×C22⋊C4—1221no—
463C2×C42—611no—
464C2×C42—611no—
465C2×C42—611no—
466C2×C42—611no—
467C2×C42—611no—
468C2×C42—611no—
469C2×C42—611no—
470C2×C42—611no—
471C2×C42—611no—
472C2×C42—611no—
473C2×C42—611no—
474C2×C42C2×#692311yescharacteristic
475C4⋊C8—614no—
476C4⋊C8—1222no—
477C4⋊C8—1222no—
478C4⋊C8—1222no—
479C22⋊C8—1222no—
480C22⋊C8—1222no—
481C22⋊C8—1222no—
482C22⋊C8—1222no—
483C4×C8—614no—
484C4×C8—1222no—
485C4×C8—1222no—
486C4×C8—1222no—
487C24—21no—
488C24—611no—
489C24—1222no—
490C24—1222no—
491C24—1228no—
492C24—1221no—
493C24—2444no—
494C24—2444no—
495C2×D4—21no—
496C2×D4—22no—
497C2×D4—618no—
498C2×D4—618no—
499C2×D4—614no—
500C2×D4—612no—
501C2×D4—1228no—
502C2×D4—1228no—
503C2×D4—1224no—
504C2×D4—1224no—
505C2×D4—1222no—
506C2×D4—1222no—
507C2×D4—1228no—
508C2×D4—1221no—
509C2×D4—1222no—
510C2×D4D61⋊C814yescomplemented
511C2×D4C22×#692312yes—
512C22×C4—21no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—44no—
516C22×C4—611no—
517C22×C4—611no—
518C22×C4—611no—
519C22×C4—611no—
520C22×C4—614no—
521C22×C4—614no—
522C22×C4—611no—
523C22×C4—611no—
524C22×C4—611no—
525C22×C4—611no—
526C22×C4—611no—
527C22×C4—611no—
528C22×C4—611no—
529C22×C4—611no—
530C22×C4—611no—
531C22×C4—611no—
532C22×C4—611no—
533C22×C4—1224no—
534C22×C4—1222no—
535C22×C4—1222no—
536C22×C4—1222no—
537C22×C4—1222no—
538C22×C4—1222no—
539C22×C4—1222no—
540C22×C4—1221no—
541C22×C4—1222no—
542C22×C4—1222no—
543C22×C4—2444no—
544C22×C4—2448no—
545C22×C4—2442no—
546C22×C4—2448no—
547C22×C4—2448no—
548C22×C4—2444no—
549C22×C4—2448no—
550C22×C4—2444no—
551C22×C4—2444no—
552C22×C4C22⋊#692311yescharacteristic
553C22×C4C22⋊#692311yescharacteristic
554C22×C4C22×#692311yescharacteristic
555C2×C8—1224no—
556C2×C8—1224no—
557C2×C8—2444no—
558C2×C8—2444no—
559C4⋊C4—21no—
560C4⋊C4—612no—
561C4⋊C4—1222no—
562C4⋊C4—1222no—
563C4⋊C4—1221no—
564C4⋊C4C22×#692312yes—
565C22⋊C4—22no—
566C22⋊C4—22no—
567C22⋊C4—1222no—
568C22⋊C4—1222no—
569C22⋊C4—1222no—
570C22⋊C4—1222no—
571C22⋊C4—1222no—
572C22⋊C4—1222no—
573C42—611no—
574C42—611no—
575C42—611no—
576C42—611no—
577C42—611no—
578C42—611no—
579C42—611no—
580C42—611no—
581C42—611no—
582C42—611no—
583C42—611no—
584C42—611no—
585C42C22⋊#692311yescharacteristic
586C42C22⋊#692311yescharacteristic
587C42C22×#692311yescharacteristic
588C42C22×#692311yescharacteristic
589C23—24no—
590C23—22no—
591C23—42no—
592C23—42no—
593C23—611no—
594C23—614no—
595C23—611no—
596C23—1222no—
597C23—1222no—
598C23—1228no—
599C23—1228no—
600C23—1224no—
601C23—1222no—
602C23—2442no—
603C23—2442no—
604C23—2444no—
605C23—2444no—
606C23—2444no—
607C23—24432no—
608C23—2444no—
609C23C2×C22⋊#692311yescharacteristic
610D4—24no—
611D4—22no—
612D4—614no—
613D4—1228no—
614D4—1228no—
615D4—1224no—
616D4—1222no—
617D4C2×D61⋊C814yes—
618C2×C4—22no—
619C2×C4—22no—
620C2×C4—41no—
621C2×C4—44no—
622C2×C4—42no—
623C2×C4—44no—
624C2×C4—614no—
625C2×C4—611no—
626C2×C4—611no—
627C2×C4—611no—
628C2×C4—614no—
629C2×C4—614no—
630C2×C4—614no—
631C2×C4—612no—
632C2×C4—612no—
633C2×C4—612no—
634C2×C4—612no—
635C2×C4—611no—
636C2×C4—611no—
637C2×C4—611no—
638C2×C4—1222no—
639C2×C4—1222no—
640C2×C4—1222no—
641C2×C4—1222no—
642C2×C4—1222no—
643C2×C4—1222no—
644C2×C4—1222no—
645C2×C4—2441no—
646C2×C4—2441no—
647C2×C4—2444no—
648C2×C4—2444no—
649C2×C4—2444no—
650C2×C4—2444no—
651C2×C4—2444no—
652C2×C4—2444no—
653C2×C4—2441no—
654C2×C4—2444no—
655C2×C4—2442no—
656C2×C4—2444no—
657C2×C4C2×C22⋊#692311yescharacteristic
658C2×C4C2×C22⋊#692311yescharacteristic
659C2×C4C2×C22⋊#692311yescharacteristic
660C2×C4C2×C22⋊#692311yescharacteristic
661C2×C4C2×C22⋊#692311yescharacteristic
662C2×C4C2×D61⋊C812yes—
663C2×C4D61⋊M1612yes—
664C2×C4C23×#692311yescharacteristic
665C8—2444no—
666C8—2444no—
667C22—21no—
668C22—21no—
669C22—24no—
670C22—48no—
671C22—42no—
672C22—42no—
673C22—612no—
674C22—612no—
675C22—612no—
676C22—612no—
677C22—1228no—
678C22—1221no—
679C22—1221no—
680C22—1224no—
681C22—2448no—
682C22—24416no—
683C22—24416no—
684C22—2442no—
685C22—2442no—
686C22D61⋊(C22⋊C8)12yes—
687C22C22×C22⋊#692311yescharacteristic
688C4—21no—
689C4—21no—
690C4—21no—
691C4—42no—
692C4—612no—
693C4—612no—
694C4—612no—
695C4—1221no—
696C4—1221no—
697C4—1221no—
698C4—2442no—
699C4D61⋊(C22⋊C8)12yes—
700C4#1684075412yes—
701C4C22×D61⋊C811yescharacteristic
702C4C2×D61⋊M1611yescharacteristic
703C2—22no—
704C2—44no—
705C2—614no—
706C2—1222no—
707C2—2444no—
708C2C2×D61⋊(C22⋊C8)11yescharacteristic
709C2C2×#1684075411yescharacteristic
710C2D61⋊#42111yescharacteristic
subgroupG/H
centerC2×C4C2×C22⋊#6923
commutatorC4×C61C23×C8
FrattiniC2×C4C23×#6923
FittingC2×C4×D4×C61C4
socleC22×C61C22×C22⋊C4
prime radicalC22×D4×D61C4
cosocleC4×Dic61C24
hypercenterC2×C4×D4#6923
hypocenterC61C2×#1478
LCSG ▷ C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C2×C4 ◁ C2×C42 ◁ C2×C4×D4

Complements

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

NH ≅ G/Ntype
1. D61⋊#431C2semidirect
2. D61⋊#431C2semidirect
3. #21461120C2semidirect
4. #21461119C2semidirect
5. #21461118C2semidirect
6. D61⋊(D4⋊C8)C2semidirect
9. #16840781C22semidirect
11. #16840780C22semidirect
14. #16840778C22semidirect
15. #16840778C22semidirect
17. D61⋊(C4⋊C8)C22semidirect
21. C4×D61⋊C8C22semidirect
22. #16840610C22semidirect
23. D4⋊#92420C22semidirect
48. C4⋊#92420C23semidirect
56. C4×#92420C23semidirect
63. C2×D4×D61C8semidirect
141. C2×D4×C61C2×C8semidirect
165. D4×D61C2×C8semidirect
168. C2×D244C2×C8semidirect
362. D61#1478semidirect
398. C61C2×#1478semidirect
510. C2×D4D61⋊C8semidirect

Maximal subgroups

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

subgroupindex
D61⋊#4312
#214611202
#214611192
#214611182
D61⋊(D4⋊C8)2
C2×C4×D4×D612
C2×#147861