Finite Group Databasebeta

← D61⋊#1486 #30610412

Subgroups — D61⋊#1486 #30610412

Order 15616.

1714 conjugacy classes of subgroups.

The subgroup lattice has 726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1D61⋊#431C211yesmaximal, characteristic, complemented
2D61⋊#423C211yesmaximal, characteristic, complemented
3#21461146C212yesmaximal, complemented
4#21461145C214yesmaximal, complemented
5#21461144C212yesmaximal, complemented
6D61⋊(D4⋊C8)C214yesmaximal, complemented
7C2×C4×D4×D61C211yesmaximal, characteristic
8C2×D61⋊M16—21no—
9#16840781C2212yescomplemented
10#16840780—21no—
11#16840779C2212yescomplemented
12#16840778—21no—
13#16840767—21no—
14#16840766C2212yescomplemented
15#16840765—21no—
16#16840765C2212yescomplemented
17D61⋊(C4⋊C8)—21no—
18D61⋊(C4⋊C8)—21no—
19D61⋊(C4⋊C8)C2212yescomplemented
20D61⋊(C22⋊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×#11758213—22no—
44D61⋊M16—44no—
45C2×#11758217—22no—
46C2×D61⋊C8—22no—
47C2×D61⋊C8—22no—
48#14519844—22no—
49#14519844—22no—
50#14519844—22no—
51C4⋊#92420—22no—
52C4⋊#92420—22no—
53C4⋊#92420C2314yescomplemented
54#14519834—22no—
55C22⋊#92420—22no—
56C4×#92420—22no—
57C4×#92420C2314yescomplemented
58C24×D61—21no—
59C22×D244C2×C411yescharacteristic
60C22×C22⋊D61—21no—
61C2×D4×D61—28no—
62C2×D4×D61—21no—
63C2×D4×D61—21no—
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—44no—
75C22×C4×D61—44no—
76C22×C4×D61C2×C411yescharacteristic
77C22×C4×D61D411yescharacteristic
78C22×C4×D61D411yescharacteristic
79C4×D244—21no—
80C4×D244—21no—
81C4×D244C2×C412yes—
82C4×D244C2×C412yes—
83D4×Dic61—21no—
84D4×Dic61—21no—
85D4×Dic61C2×C412yes—
86D4×Dic61C2312yes—
87#14519739—21no—
88#14519739—21no—
89#14519739C2×C412yes—
90#14519739C2312yes—
91C4×C22⋊D61—22no—
92C4×C22⋊D61—22no—
93C4×C22⋊D61—22no—
94C4×C22⋊D61—22no—
95#14519737—22no—
96#14519737—22no—
97#14519737—22no—
98#14519737—22no—
99C2×C4⋊Dic61C2×C411yescharacteristic
100C2×#11758196—21no—
101C4⋊C4×D61—21no—
102C4⋊C4×D61—21no—
103C4⋊C4×D61C2×C412yes—
104C4⋊C4×D61C2×C412yes—
105C2×C22⋊Dic61—21no—
106C2×#11758198—21no—
107C2×#11758198—21no—
108C22⋊C4×D61—22no—
109C22⋊C4×D61—22no—
110C22⋊C4×D61—22no—
111C22⋊C4×D61—22no—
112C2×C4×Dic61D411yescharacteristic
113C2×C4×Dic61D411yescharacteristic
114C2×C4×Dic61C2311yescharacteristic
115C42×D61C2×C411yescharacteristic
116C42×D61C2×C411yescharacteristic
117C42×D61D411yescharacteristic
118C42×D61D411yescharacteristic
119C42×D61D411yescharacteristic
120C42×D61D411yescharacteristic
121C42×D61C2311yescharacteristic
122C42×D61C2311yescharacteristic
123C22×D4×C61C2×C411yescharacteristic
124C23×C4×C61—21no—
125C4×D4×C61—21no—
126C4×D4×C61—21no—
127C4×D4×C61C2×C412yes—
128C4×D4×C61C2×C412yes—
129C2×C4⋊C4×C61C2×C411yescharacteristic
130C2×C22⋊C4×C61—21no—
131C2×C42×C61C2×C411yescharacteristic
132C24×C61—21no—
133C23×D61—28no—
134C23×D61—21no—
135C23×D61—22no—
136C23×D61—22no—
137C23×D61—44no—
138C23×D61—44no—
139C23×D61C22⋊C411yescharacteristic
140C2×D4×C61—24no—
141C2×D4×C61—21no—
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—42no—
157C22×Dic61—42no—
158C22×Dic61C22⋊C411yescharacteristic
159C22×Dic61C2×D411yescharacteristic
160C22×Dic61C2×D411yescharacteristic
161D4×D61—28no—
162D4×D61—28no—
163D4×D61—24no—
164D4×D61—24no—
165D4×D61—24no—
166D4×D61M1618yescomplemented
167C2×D244—21no—
168C2×D244—24no—
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—44no—
179C2×C4×D61—44no—
180C2×C4×D61—42no—
181C2×C4×D61—42no—
182C2×C4×D61—48no—
183C2×C4×D61—48no—
184C2×C4×D61—44no—
185C2×C4×D61—44no—
186C2×C4×D61—44no—
187C2×C4×D61—44no—
188C2×C4×D61C22⋊C411yescharacteristic
189C2×C4×D61C22⋊C411yescharacteristic
190C2×C4×D61C22⋊C411yescharacteristic
191C2×C4×D61C22⋊C411yescharacteristic
192C2×C4×D61C22⋊C411yescharacteristic
193C2×C4×D61C22⋊C411yescharacteristic
194C2×C4×D61D814yes—
195C2×C4×D61SD1614yes—
196C2×C4×D61C22×C411yescharacteristic
197C2×C4×D61C22×C411yescharacteristic
198C2×C4×D61C2×D411yescharacteristic
199C2×C4×D61C2×D411yescharacteristic
200C2×C4×D61C2×D411yescharacteristic
201C2×C4×D61C2×D411yescharacteristic
202#11758217—44no—
203C2×#92420—24no—
204C2×#92420—24no—
205#11758213—44no—
206D61⋊C8—44no—
207D61⋊C8—44no—
208C4⋊C4×C61—21no—
209C4⋊C4×C61C22×C412yes—
210C22⋊C4×C61—22no—
211C22⋊C4×C61—22no—
212C42×C61C22⋊C411yescharacteristic
213C42×C61C22⋊C411yescharacteristic
214C42×C61C22×C411yescharacteristic
215C42×C61C22×C411yescharacteristic
216C22⋊Dic61—22no—
217C22⋊Dic61—22no—
218#11758198—22no—
219#11758198—22no—
220#11758198—22no—
221#11758198—22no—
222C4⋊Dic61—21no—
223C4⋊Dic61C22×C412yes—
224#11758196—22no—
225#11758196—22no—
226C4×Dic61C22⋊C411yescharacteristic
227C4×Dic61C22⋊C411yescharacteristic
228C4×Dic61C22⋊C411yescharacteristic
229C4×Dic61C22⋊C411yescharacteristic
230C4×Dic61C22×C411yescharacteristic
231C4×Dic61C2×D411yescharacteristic
232C4×Dic61C2×D411yescharacteristic
233C4×Dic61C2×D411yescharacteristic
234C4×Dic61C2×D411yescharacteristic
235C4×Dic61C2×D411yescharacteristic
236C4×Dic61C2×D411yescharacteristic
237C4×Dic61C2411yescharacteristic
238C23×C61—24no—
239C23×C61—22no—
240C23×C61—42no—
241C23×C61—42no—
242C23×C61C2×C22⋊C411yescharacteristic
243C22×D61—22no—
244C22×D61—22no—
245C22×D61—24no—
246C22×D61—28no—
247C22×D61—22no—
248C22×D61—28no—
249C22×D61—44no—
250C22×D61—432no—
251C22×D61—42no—
252C22×D61—42no—
253C22×D61—44no—
254C22×D61—44no—
255C22×D61—44no—
256C22×D61#10214yes—
257C22×D61C2×C22⋊C411yescharacteristic
258C22×D61C2×C22⋊C411yescharacteristic
259D4×C61—24no—
260D4×C61—22no—
261D4×C61C2×M1614yescomplemented
262C2×C4×C61—22no—
263C2×C4×C61—22no—
264C2×C4×C61—41no—
265C2×C4×C61—42no—
266C2×C4×C61—44no—
267C2×C4×C61—44no—
268C2×C4×C61#10214yes—
269C2×C4×C61C2×C22⋊C411yescharacteristic
270C2×C4×C61C2×C22⋊C411yescharacteristic
271C2×C4×C61C2×C22⋊C411yescharacteristic
272C2×C4×C61C2×C22⋊C411yescharacteristic
273C2×C4×C61C2×C22⋊C411yescharacteristic
274C2×C4×C61C23×C411yescharacteristic
275C22⋊D61—28no—
276C22⋊D61—28no—
277C2×Dic61—22no—
278C2×Dic61—22no—
279C2×Dic61—41no—
280C2×Dic61—42no—
281C2×Dic61—42no—
282C2×Dic61—42no—
283C2×Dic61—44no—
284C2×Dic61C2×C22⋊C411yescharacteristic
285C2×Dic61C2×C22⋊C411yescharacteristic
286C2×Dic61C2×C22⋊C411yescharacteristic
287C2×Dic61C2×C22⋊C411yescharacteristic
288C2×Dic61C2×D812yes—
289C2×Dic61C2×SD1612yes—
290C2×Dic61C22×D411yescharacteristic
291C2×Dic61C22×D411yescharacteristic
292D244—24no—
293D244—22no—
294D244C2×M1614yescomplemented
295C4×D61—22no—
296C4×D61—22no—
297C4×D61—22no—
298C4×D61—22no—
299C4×D61—22no—
300C4×D61—41no—
301C4×D61—41no—
302C4×D61—44no—
303C4×D61—44no—
304C4×D61—44no—
305C4×D61—44no—
306C4×D61—42no—
307C4×D61—42no—
308C4×D61—44no—
309C4×D61#10214yes—
310C4×D61#10214yes—
311C4×D61C2×M1614yes—
312C4×D61C2×D812yes—
313C4×D61C2×D812yes—
314C4×D61C2×SD1612yes—
315C4×D61C2×SD1612yes—
316#92420—44no—
317#92420—44no—
318C2×#1486—611nomaximal, Sylow
319C22×C61—21no—
320C22×C61—21no—
321C22×C61—24no—
322C22×C61—48no—
323C22×C61—42no—
324C22×C61—42no—
325C22×C61C2×#10212yes—
326C22×C61C22×C22⋊C411yescharacteristic
327C2×D61—21no—
328C2×D61—21no—
329C2×D61—28no—
330C2×D61—24no—
331C2×D61—416no—
332C2×D61—48no—
333C2×D61—42no—
334C2×D61—42no—
335C2×D61—416no—
336C2×D61#40712yes—
337C2×D61C2×#10212yes—
338C2×D61C2×#10212yes—
339C2×D61#42112yes—
340C4×C61—21no—
341C4×C61—21no—
342C4×C61—21no—
343C4×C61—42no—
344C4×C61C2×#10212yes—
345C4×C61C2×#10212yes—
346C4×C61C22×M1612yes—
347Dic61—21no—
348Dic61—21no—
349Dic61—21no—
350Dic61—42no—
351Dic61#40712yes—
352Dic61C2×#10212yes—
353Dic61C22×D811yescharacteristic
354Dic61C22×SD1611yescharacteristic
355C22×C4×D4—611no—
356C2×#431—611no—
357C2×#423—611no—
358#1486—612no—
359#1486—614no—
360#1486—612no—
361C2×D4⋊C8—614no—
362C2×C61—22no—
363C2×C61—44no—
364C2×C61C2×#40711yescharacteristic
365C2×C61C22×#10211yescharacteristic
366C2×C61C2×#42111yescharacteristic
367D61—22no—
368D61—44no—
369D61#148614yescomplemented
370C23×D4—611no—
371C24×C4—1221no—
372C22×M16—1221no—
373C2×C4×D4—611no—
374C2×C4×D4—612no—
375C2×C4×D4—612no—
376C2×C4×D4—612no—
377C2×C4×D4—612no—
378C2×C4×D4—611no—
379C2×C4×D4—611no—
380C2×C4×D4—1221no—
381C2×C4×D4—1221no—
382C2×C4×D4—1221no—
383C2×C4×D4—1221no—
384C2×C4×D4—1221no—
385C2×C4×D4—1221no—
386C2×C4×D4#692311yescharacteristic
387C22×C4⋊C4—611no—
388C22×C22⋊C4—1221no—
389C22×C42—611no—
390#431—612no—
391#431—612no—
392#431—1221no—
393#431—1221no—
394#423—612no—
395#423—612no—
396#423—1221no—
397#423—1221no—
398C2×C4⋊C8—612no—
399C2×C4⋊C8—1221no—
400C2×C4⋊C8—1221no—
401C2×C22⋊C8—1221no—
402C2×C4×C8—612no—
403D4⋊C8—618no—
404D4⋊C8—618no—
405C61C2×#148611yescharacteristic, complemented, Sylow
406C25—1221no—
407C22×D4—612no—
408C22×D4—612no—
409C22×D4—611no—
410C22×D4—1221no—
411C22×D4—1221no—
412C22×D4—1221no—
413C22×D4—1228no—
414C22×D4C2×#692311yescharacteristic
415C23×C4—21no—
416C23×C4—611no—
417C23×C4—611no—
418C23×C4—611no—
419C23×C4—1221no—
420C23×C4—1222no—
421C23×C4—1222no—
422C23×C4—1222no—
423C23×C4—1222no—
424C23×C4—1221no—
425C23×C4—1221no—
426C23×C4—1221no—
427C23×C4—2444no—
428C23×C4—2444no—
429C2×M16—1222no—
430C2×M16—1222no—
431C2×M16—2444no—
432C22×C8—1222no—
433C22×C8—1222no—
434C4×D4—21no—
435C4×D4—21no—
436C4×D4—612no—
437C4×D4—612no—
438C4×D4—612no—
439C4×D4—612no—
440C4×D4—612no—
441C4×D4—612no—
442C4×D4—1222no—
443C4×D4—1222no—
444C4×D4—1222no—
445C4×D4—1222no—
446C4×D4—1221no—
447C4×D4—1221no—
448C4×D4—1222no—
449C4×D4—1222no—
450C4×D4—1222no—
451C4×D4—1222no—
452C4×D4—1221no—
453C4×D4—1221no—
454C4×D4—1221no—
455C4×D4—1221no—
456C4×D4C2×#692312yes—
457C4×D4C2×#692312yes—
458C2×C4⋊C4—611no—
459C2×C4⋊C4—612no—
460C2×C4⋊C4—612no—
461C2×C4⋊C4—1221no—
462C2×C4⋊C4—1221no—
463C2×C4⋊C4—1221no—
464C2×C4⋊C4C2×#692311yescharacteristic
465C2×C22⋊C4—21no—
466C2×C22⋊C4—1222no—
467C2×C22⋊C4—1222no—
468C2×C22⋊C4—1222no—
469C2×C22⋊C4—1222no—
470C2×C22⋊C4—1221no—
471C2×C22⋊C4—1221no—
472C2×C22⋊C4—1221no—
473C2×C42—611no—
474C2×C42—611no—
475C2×C42—611no—
476C2×C42—611no—
477C2×C42—611no—
478C2×C42—611no—
479C2×C42—611no—
480C2×C42—611no—
481C2×C42—611no—
482C2×C42—611no—
483C2×C42—611no—
484C2×C42C2×#692311yescharacteristic
485C4⋊C8—614no—
486C4⋊C8—1222no—
487C4⋊C8—1222no—
488C4⋊C8—1222no—
489C4⋊C8—1222no—
490C4⋊C8—1222no—
491C22⋊C8—1222no—
492C22⋊C8—1222no—
493C4×C8—614no—
494C4×C8—1222no—
495C24—21no—
496C24—611no—
497C24—1222no—
498C24—1222no—
499C24—1228no—
500C24—1221no—
501C24—2444no—
502C24—2444no—
503C2×D4—24no—
504C2×D4—21no—
505C2×D4—618no—
506C2×D4—612no—
507C2×D4—1224no—
508C2×D4—1224no—
509C2×D4—1222no—
510C2×D4—1222no—
511C2×D4—1224no—
512C2×D4—1228no—
513C2×D4—1228no—
514C2×D4—1228no—
515C2×D4—1224no—
516C2×D4—1221no—
517C2×D4C22×#692312yes—
518C22×C4—21no—
519C22×C4—22no—
520C22×C4—22no—
521C22×C4—44no—
522C22×C4—611no—
523C22×C4—614no—
524C22×C4—614no—
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—611no—
534C22×C4—611no—
535C22×C4—611no—
536C22×C4—611no—
537C22×C4—611no—
538C22×C4—611no—
539C22×C4—1224no—
540C22×C4—1222no—
541C22×C4—1222no—
542C22×C4—1222no—
543C22×C4—1222no—
544C22×C4—1222no—
545C22×C4—1222no—
546C22×C4—1221no—
547C22×C4—1222no—
548C22×C4—1222no—
549C22×C4—2442no—
550C22×C4—2442no—
551C22×C4—2448no—
552C22×C4—2448no—
553C22×C4—2444no—
554C22×C4—2444no—
555C22×C4—2444no—
556C22×C4—2444no—
557C22×C4—2442no—
558C22×C4—2444no—
559C22×C4—2442no—
560C22×C4—2442no—
561C22×C4—2444no—
562C22×C4C22⋊#692311yescharacteristic
563C22×C4C22⋊#692311yescharacteristic
564C22×C4C22×#692311yescharacteristic
565M16—2444no—
566M16—2444no—
567C2×C8—1224no—
568C2×C8—1224no—
569C2×C8—2444no—
570C2×C8—2444no—
571C4⋊C4—21no—
572C4⋊C4—612no—
573C4⋊C4—1222no—
574C4⋊C4—1222no—
575C4⋊C4—1221no—
576C4⋊C4C22×#692312yes—
577C22⋊C4—22no—
578C22⋊C4—22no—
579C22⋊C4—1222no—
580C22⋊C4—1222no—
581C22⋊C4—1222no—
582C22⋊C4—1222no—
583C22⋊C4—1222no—
584C22⋊C4—1222no—
585C42—611no—
586C42—611no—
587C42—611no—
588C42—611no—
589C42—611no—
590C42—611no—
591C42—611no—
592C42—611no—
593C42—611no—
594C42—611no—
595C42—611no—
596C42—611no—
597C42C22⋊#692311yescharacteristic
598C42C22⋊#692311yescharacteristic
599C42C22×#692311yescharacteristic
600C42C22×#692311yescharacteristic
601C23—24no—
602C23—22no—
603C23—42no—
604C23—42no—
605C23—611no—
606C23—614no—
607C23—611no—
608C23—1222no—
609C23—1222no—
610C23—1228no—
611C23—1224no—
612C23—1228no—
613C23—1222no—
614C23—2442no—
615C23—2444no—
616C23—2444no—
617C23—2444no—
618C23—24432no—
619C23—2444no—
620C23—2442no—
621C23C2×C22⋊#692311yescharacteristic
622D4—24no—
623D4—22no—
624D4—614no—
625D4—1224no—
626D4—1228no—
627D4—1228no—
628D4—1222no—
629D4D61⋊M1614yescomplemented
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—41no—
633C2×C4—42no—
634C2×C4—44no—
635C2×C4—44no—
636C2×C4—612no—
637C2×C4—612no—
638C2×C4—611no—
639C2×C4—611no—
640C2×C4—611no—
641C2×C4—614no—
642C2×C4—614no—
643C2×C4—612no—
644C2×C4—612no—
645C2×C4—612no—
646C2×C4—612no—
647C2×C4—614no—
648C2×C4—611no—
649C2×C4—611no—
650C2×C4—611no—
651C2×C4—1222no—
652C2×C4—1222no—
653C2×C4—1222no—
654C2×C4—1222no—
655C2×C4—1222no—
656C2×C4—1222no—
657C2×C4—1222no—
658C2×C4—2441no—
659C2×C4—2441no—
660C2×C4—2442no—
661C2×C4—2442no—
662C2×C4—2444no—
663C2×C4—2444no—
664C2×C4—2444no—
665C2×C4—2442no—
666C2×C4—2442no—
667C2×C4—2444no—
668C2×C4—2441no—
669C2×C4—2442no—
670C2×C4—2444no—
671C2×C4—2444no—
672C2×C4#1451983914yes—
673C2×C4C2×C22⋊#692311yescharacteristic
674C2×C4C2×C22⋊#692311yescharacteristic
675C2×C4C2×C22⋊#692311yescharacteristic
676C2×C4C2×C22⋊#692311yescharacteristic
677C2×C4C2×C22⋊#692311yescharacteristic
678C2×C4C23×#692311yescharacteristic
679C8—2444no—
680C8—2444no—
681C22—21no—
682C22—21no—
683C22—24no—
684C22—48no—
685C22—42no—
686C22—42no—
687C22—612no—
688C22—612no—
689C22—612no—
690C22—612no—
691C22—1228no—
692C22—1221no—
693C22—1221no—
694C22—1224no—
695C22—2448no—
696C22—24416no—
697C22—24416no—
698C22—2442no—
699C22—2442no—
700C22C2×#1451983912yes—
701C22C22×C22⋊#692311yescharacteristic
702C4—21no—
703C4—21no—
704C4—21no—
705C4—42no—
706C4—612no—
707C4—611no—
708C4—611no—
709C4—612no—
710C4—1221no—
711C4—1221no—
712C4—1221no—
713C4—2442no—
714C4C2×#1451983912yes—
715C4C2×#1451983912yes—
716C4C2×D61⋊M1612yes—
717C2—22no—
718C2—44no—
719C2—614no—
720C2—1222no—
721C2—2444no—
722C2D61⋊#40711yescharacteristic
723C2C22×#1451983911yescharacteristic
724C2D61⋊#42111yescharacteristic
subgroupG/H
centerC2×C4C2×C22⋊#6923
commutatorC2×C4×C61C23×C4
FrattiniC2×C4C23×#6923
FittingC2×C4×D4×C61C4
socleC22×C61C22×C22⋊C4
prime radicalC22×D4×D61C4
cosocleC4×Dic61C24
hypercenterC2×C4×D4#6923
hypocenterC61C2×#1486
LCSG ▷ C2×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⋊#423C2semidirect
3. #21461146C2semidirect
4. #21461145C2semidirect
5. #21461144C2semidirect
6. D61⋊(D4⋊C8)C2semidirect
9. #16840781C22semidirect
11. #16840779C22semidirect
14. #16840766C22semidirect
16. #16840765C22semidirect
19. D61⋊(C4⋊C8)C22semidirect
21. C4×D61⋊C8C22semidirect
22. #16840610C22semidirect
23. D4⋊#92420C22semidirect
53. C4⋊#92420C23semidirect
57. C4×#92420C23semidirect
166. D4×D61M16semidirect
261. D4×C61C2×M16semidirect
294. D244C2×M16semidirect
369. D61#1486semidirect
405. C61C2×#1486semidirect
629. D4D61⋊M16semidirect

Maximal subgroups

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

subgroupindex
D61⋊#4312
D61⋊#4232
#214611462
#214611452
#214611442
D61⋊(D4⋊C8)2
C2×C4×D4×D612
C2×#148661