Finite Group Databasebeta

← D61⋊#1797 #30614932

Subgroups — D61⋊#1797 #30614932

Order 15616.

2222 conjugacy classes of subgroups.

The subgroup lattice has 686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D61⋊(C4⋊C8)C212yesmaximal, complemented
2C2×D61⋊(C22⋊C8)C212yesmaximal
3#21461676C212yesmaximal, complemented
4#21461675C212yesmaximal, complemented
5#21461674C212yesmaximal, complemented
6#21461673C212yesmaximal, complemented
7#21461480C212yesmaximal, complemented
8C22×C42×D61C211yesmaximal, characteristic
9C22×D61⋊C8C2214yes—
10C2×#14519844C2214yescomplemented
11D61⋊(C4⋊C8)—28no—
12C2×C4⋊#92420C2214yescomplemented
13C2×#14519834C2214yes—
14D61⋊(C22⋊C8)—28no—
15C2×C22⋊#92420C2214yes—
16#16840628C2214yescomplemented
17#16840628C2214yescomplemented
18C23×C4×D61C411yescharacteristic
19C23×C4×D61C411yescharacteristic
20C23×C4×D61C2211yescharacteristic
21C22×C4×Dic61C411yescharacteristic
22C22×C4×Dic61C2211yescharacteristic
23C22×C4×Dic61C2211yescharacteristic
24C2×C42×D61—28no—
25C2×C42×D61C411yescharacteristic
26C2×C42×D61C411yescharacteristic
27C2×C42×D61C411yescharacteristic
28C2×C42×D61C411yescharacteristic
29C2×C42×D61C2211yescharacteristic
30C2×C42×D61C2211yescharacteristic
31C2×C42×D61C2211yescharacteristic
32C2×C42×D61C2211yescharacteristic
33C22×C42×C61C411yescharacteristic
34C2×D61⋊C8—28no—
35C2×D61⋊C8—28no—
36C2×D61⋊C8—28no—
37C22×#92420C2318yes—
38#14519844—28no—
39C4⋊#92420—28no—
40#14519834—28no—
41C22⋊#92420—28no—
42C24×D61C2×C411yescharacteristic
43C23×Dic61C2×C411yescharacteristic
44C23×Dic61C2×C411yescharacteristic
45C23×Dic61C2311yescharacteristic
46C22×C4×D61—24no—
47C22×C4×D61—24no—
48C22×C4×D61—24no—
49C22×C4×D61—24no—
50C22×C4×D61—24no—
51C22×C4×D61—24no—
52C22×C4×D61—24no—
53C22×C4×D61C818yescomplemented
54C22×C4×D61C2×C411yescharacteristic
55C22×C4×D61C2×C411yescharacteristic
56C22×C4×D61C2×C411yescharacteristic
57C22×C4×D61C2×C411yescharacteristic
58C22×C4×D61C2×C411yescharacteristic
59C22×C4×D61C2×C411yescharacteristic
60C22×C4×D61C2×C411yescharacteristic
61C22×C4×D61C2×C411yescharacteristic
62C22×C4×D61C2×C411yescharacteristic
63C22×C4×D61C2×C411yescharacteristic
64C22×C4×D61D414yes—
65C22×C4×D61Q814yes—
66C22×C4×D61C2311yescharacteristic
67C22×C4×D61C2311yescharacteristic
68C2×C4×Dic61—24no—
69C2×C4×Dic61—24no—
70C2×C4×Dic61—24no—
71C2×C4×Dic61C2×C411yescharacteristic
72C2×C4×Dic61C2×C411yescharacteristic
73C2×C4×Dic61C2×C411yescharacteristic
74C2×C4×Dic61C2×C411yescharacteristic
75C2×C4×Dic61C2×C411yescharacteristic
76C2×C4×Dic61C2×C411yescharacteristic
77C2×C4×Dic61C2×C411yescharacteristic
78C2×C4×Dic61C2×C411yescharacteristic
79C2×C4×Dic61C2311yescharacteristic
80C2×C4×Dic61C2311yescharacteristic
81C2×C4×Dic61C2311yescharacteristic
82C2×C4×Dic61C2311yescharacteristic
83C42×D61—24no—
84C42×D61—24no—
85C42×D61—24no—
86C42×D61—24no—
87C42×D61—24no—
88C42×D61—24no—
89C42×D61—24no—
90C42×D61D418yes—
91C23×C4×C61C2×C411yescharacteristic
92C23×C4×C61C2×C411yescharacteristic
93C23×C4×C61C2×C411yescharacteristic
94C2×C42×C61—24no—
95C2×C42×C61C2×C411yescharacteristic
96C2×C42×C61C2×C411yescharacteristic
97C2×C42×C61C2×C411yescharacteristic
98C2×C42×C61C2×C411yescharacteristic
99C24×C61C22×C411yescharacteristic
100C23×D61—22no—
101C23×D61—22no—
102C23×D61—22no—
103C23×D61—22no—
104C23×D61C4⋊C414yes—
105C23×D61C2×C814yes—
106C23×D61M1614yes—
107C23×D61C22×C411yescharacteristic
108C23×D61C22×C411yescharacteristic
109C22×C4×C61—22no—
110C22×C4×C61—22no—
111C22×C4×C61—22no—
112C22×C4×C61—22no—
113C22×C4×C61—22no—
114C22×C4×C61—22no—
115C22×C4×C61—22no—
116C22×C4×C61C4⋊C414yes—
117C22×C4×C61C2×C814yescomplemented
118C22×C4×C61C22×C411yescharacteristic
119C22×C4×C61C22×C411yescharacteristic
120C22×C4×C61C22×C411yescharacteristic
121C22×C4×C61C22×C411yescharacteristic
122C22×C4×C61C22×C411yescharacteristic
123C22×C4×C61C22×C411yescharacteristic
124C22×Dic61—22no—
125C22×Dic61—22no—
126C22×Dic61—22no—
127C22×Dic61—22no—
128C22×Dic61—22no—
129C22×Dic61—22no—
130C22×Dic61—22no—
131C22×Dic61C2×C814yescomplemented
132C22×Dic61C22×C411yescharacteristic
133C22×Dic61C22×C411yescharacteristic
134C22×Dic61C22×C411yescharacteristic
135C22×Dic61C22×C411yescharacteristic
136C22×Dic61C22×C411yescharacteristic
137C22×Dic61C2×D412yes—
138C22×Dic61C2×Q812yes—
139C22×Dic61C2411yescharacteristic
140C2×C4×D61—232no—
141C2×C4×D61—22no—
142C2×C4×D61—22no—
143C2×C4×D61—22no—
144C2×C4×D61—22no—
145C2×C4×D61—22no—
146C2×C4×D61—22no—
147C2×C4×D61—22no—
148C2×C4×D61—22no—
149C2×C4×D61—22no—
150C2×C4×D61—22no—
151C2×C4×D61—22no—
152C2×C4×D61—22no—
153C2×C4×D61—22no—
154C2×C4×D61—22no—
155C2×C4×D61—22no—
156C2×C4×D61—22no—
157C2×C4×D61—22no—
158C2×C4×D61—22no—
159C2×C4×D61—22no—
160C2×C4×D61—22no—
161C2×C4×D61—22no—
162C2×C4×D61—22no—
163C2×C4×D61—232no—
164C2×C4×D61—216no—
165C2×C4×D61—216no—
166C2×C4×D61C22⋊C414yes—
167C2×C4×D61C22⋊C414yes—
168C2×C4×D61C4⋊C414yes—
169C2×C4×D61C4⋊C414yes—
170C2×C4×D61C2×C814yes—
171C2×C4×D61C2×C814yes—
172C2×C4×D61C2×C814yescomplemented
173C2×C4×D61C2×C814yescomplemented
174C2×C4×D61M1614yes—
175C2×C4×D61M1614yes—
176C2×C4×D61C2×D412yes—
177C2×C4×D61C2×D412yes—
178C2×C4×D61C2×D414yes—
179C2×C4×D61C2×Q812yes—
180C2×C4×D61C2×Q812yes—
181C2×C4×D61#4114yes—
182C2×#92420—28no—
183C2×#92420—28no—
184C2×#92420—28no—
185D61⋊C8—416no—
186C42×C61—22no—
187C42×C61—22no—
188C42×C61—22no—
189C42×C61C22⋊C414yes—
190C4×Dic61—22no—
191C4×Dic61—22no—
192C4×Dic61—22no—
193C4×Dic61—22no—
194C4×Dic61—22no—
195C4×Dic61—22no—
196C4×Dic61—22no—
197C4×Dic61—22no—
198C4×Dic61—22no—
199C4×Dic61C22⋊C414yes—
200C4×Dic61C2×D414yes—
201C4×Dic61C2×D414yes—
202C23×C61—21no—
203C23×C61—21no—
204C23×C61—21no—
205C23×C61—21no—
206C23×C61C2×C4⋊C412yes—
207C23×C61C22×C812yes—
208C23×C61C2×M1612yes—
209C23×C61C23×C411yescharacteristic
210C22×D61—21no—
211C22×D61—21no—
212C22×D61—21no—
213C22×D61—21no—
214C22×D61—28no—
215C22×D61—28no—
216C22×D61—28no—
217C22×D61—28no—
218C22×D61—28no—
219C22×D61—28no—
220C22×D61C4⋊C8116yescomplemented
221C22×D61C2×C22⋊C412yes—
222C22×D61C2×C4⋊C412yes—
223C22×D61C2×C4⋊C412yes—
224C22×D61#11712yes—
225C22×D61C22×C812yes—
226C22×D61C22×C812yes—
227C22×D61C2×M1612yes—
228C22×D61C2×M1612yes—
229C22×D61C2×M1612yes—
230C22×D61C2×M1612yes—
231C2×C4×C61—28no—
232C2×C4×C61—21no—
233C2×C4×C61—21no—
234C2×C4×C61—21no—
235C2×C4×C61—21no—
236C2×C4×C61—21no—
237C2×C4×C61—21no—
238C2×C4×C61—21no—
239C2×C4×C61—21no—
240C2×C4×C61—28no—
241C2×C4×C61—28no—
242C2×C4×C61C2×C22⋊C412yes—
243C2×C4×C61C2×C22⋊C412yes—
244C2×C4×C61C2×C22⋊C412yes—
245C2×C4×C61C2×C4⋊C412yes—
246C2×C4×C61C2×C4⋊C412yes—
247C2×C4×C61#11712yes—
248C2×C4×C61C22×C812yes—
249C2×C4×C61C22×C812yes—
250C2×C4×C61C2×M1612yes—
251C2×C4×C61C2×M1612yes—
252C2×Dic61—28no—
253C2×Dic61—21no—
254C2×Dic61—21no—
255C2×Dic61—21no—
256C2×Dic61—21no—
257C2×Dic61—21no—
258C2×Dic61—21no—
259C2×Dic61—21no—
260C2×Dic61—21no—
261C2×Dic61—24no—
262C2×Dic61—24no—
263C2×Dic61—28no—
264C2×Dic61C2×C22⋊C412yes—
265C2×Dic61C2×C22⋊C412yes—
266C2×Dic61C2×C4⋊C412yes—
267C2×Dic61C22×C812yes—
268C2×Dic61C22×C812yes—
269C2×Dic61C2×M1612yes—
270C2×Dic61C2×M1612yes—
271C2×Dic61C22×D411yescharacteristic
272C2×Dic61C22×D412yes—
273C2×Dic61C22×Q811yescharacteristic
274C2×Dic61C2×#4112yes—
275C4×D61—28no—
276C4×D61—28no—
277C4×D61—28no—
278C4×D61—28no—
279C4×D61—28no—
280C4×D61—28no—
281C4×D61—28no—
282C4×D61—28no—
283C4×D61—24no—
284C4×D61—24no—
285C4×D61—28no—
286C4×D61C22⋊C8116yescomplemented
287C4×D61#12118yes—
288C4×D61C22⋊Q818yes—
289#92420—48no—
290C2×#1797—611nomaximal, Sylow
291C22×C61—22no—
292C22×C61—22no—
293C22×C61—22no—
294C22×C61—22no—
295C22×C61—22no—
296C22×C61—22no—
297C22×C61C2×C4⋊C814yescomplemented
298C22×C61C22×C22⋊C411yescharacteristic
299C22×C61C22×C4⋊C411yescharacteristic
300C22×C61C2×#11711yescharacteristic
301C22×C61C23×C811yescharacteristic
302C22×C61C22×M1611yescharacteristic
303C22×C61C22×M1611yescharacteristic
304C22×C61C22×M1611yescharacteristic
305C2×D61—22no—
306C2×D61—22no—
307C2×D61—22no—
308C2×D61—22no—
309C2×D61—22no—
310C2×D61—22no—
311C2×D61—232no—
312C2×D61#38014yes—
313C2×D61C2×C22⋊C814yes—
314C2×D61#40714yes—
315C2×D61C2×C4⋊C814yes—
316C2×D61C2×C4⋊C814yescomplemented
317C2×D61#42314yes—
318C2×D61#43114yes—
319C2×D61#43214yes—
320C4×C61—22no—
321C4×C61—22no—
322C4×C61—22no—
323C4×C61—22no—
324C4×C61#38014yes—
325C4×C61C2×C22⋊C814yescomplemented
326Dic61—22no—
327Dic61—22no—
328Dic61—22no—
329Dic61—22no—
330Dic61C2×C22⋊C814yescomplemented
331Dic61C2×#12112yes—
332Dic61C2×C22⋊Q812yes—
333C23×C42—611no—
334C22×C4⋊C8—612no—
335C22×C22⋊C8—612no—
336#1797—612no—
337#1797—612no—
338#1797—612no—
339#1797—612no—
340C2×#336—612no—
341C2×C61—24no—
342C2×C61C2×#38011yescharacteristic
343C2×C61C22×C22⋊C811yescharacteristic
344C2×C61C2×#40711yescharacteristic
345C2×C61C22×C4⋊C811yescharacteristic
346C2×C61C2×#42311yescharacteristic
347C2×C61C2×#43111yescharacteristic
348C2×C61C2×#43211yescharacteristic
349D61—24no—
350D61#179718yescomplemented
351C24×C4—611no—
352C24×C4—611no—
353C24×C4—611no—
354C23×C8—614no—
355C22×C42—611no—
356C22×C42—611no—
357C22×C42—611no—
358C22×C42—611no—
359C22×C42—611no—
360C22×C42—611no—
361C22×C42—611no—
362C22×C42—611no—
363C22×C42—611no—
364C22×C42—611no—
365C22×C42—611no—
366C22×C42—1228no—
367C22×C42#692311yescharacteristic
368C2×C4⋊C8—614no—
369C2×C4⋊C8—614no—
370C2×C4⋊C8—1228no—
371C2×C22⋊C8—614no—
372C2×C22⋊C8—614no—
373C2×C22⋊C8—1228no—
374#336—614no—
375#336—614no—
376C61C2×#179711yescharacteristic, complemented, Sylow
377C25—611no—
378C23×C4—611no—
379C23×C4—611no—
380C23×C4—611no—
381C23×C4—611no—
382C23×C4—618no—
383C23×C4—614no—
384C23×C4—614no—
385C23×C4—611no—
386C23×C4—611no—
387C23×C4—611no—
388C23×C4—611no—
389C23×C4—611no—
390C23×C4—611no—
391C23×C4—611no—
392C23×C4—611no—
393C23×C4—611no—
394C23×C4—611no—
395C23×C4—611no—
396C23×C4—1224no—
397C23×C4—1224no—
398C23×C4—1224no—
399C23×C4—1224no—
400C23×C4—1224no—
401C23×C4—1224no—
402C23×C4—1224no—
403C23×C4C2×#692311yescharacteristic
404C23×C4C2×#692311yescharacteristic
405C23×C4C2×#692311yescharacteristic
406C22×C8—618no—
407C22×C8—1228no—
408C22×C8—1228no—
409C22×C8—1228no—
410C2×C42—24no—
411C2×C42—611no—
412C2×C42—611no—
413C2×C42—611no—
414C2×C42—618no—
415C2×C42—611no—
416C2×C42—611no—
417C2×C42—611no—
418C2×C42—611no—
419C2×C42—611no—
420C2×C42—611no—
421C2×C42—611no—
422C2×C42—611no—
423C2×C42—611no—
424C2×C42—1224no—
425C2×C42—1224no—
426C2×C42—1224no—
427C2×C42—1224no—
428C2×C42—1224no—
429C2×C42—1224no—
430C2×C42—1224no—
431C2×C42—1224no—
432C2×C42—1224no—
433C2×C42—1224no—
434C2×C42C2×#692311yescharacteristic
435C2×C42C2×#692311yescharacteristic
436C2×C42C2×#692311yescharacteristic
437C2×C42C2×#692311yescharacteristic
438C4⋊C8—1228no—
439C4⋊C8—1228no—
440C22⋊C8—1228no—
441C22⋊C8—1228no—
442C24—611no—
443C24—614no—
444C24—614no—
445C24—614no—
446C24—611no—
447C24—1222no—
448C24—1222no—
449C24—1222no—
450C24—1222no—
451C24C22×#692311yescharacteristic
452C22×C4—22no—
453C22×C4—22no—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—611no—
460C22×C4—611no—
461C22×C4—614no—
462C22×C4—614no—
463C22×C4—612no—
464C22×C4—612no—
465C22×C4—614no—
466C22×C4—614no—
467C22×C4—614no—
468C22×C4—612no—
469C22×C4—612no—
470C22×C4—614no—
471C22×C4—611no—
472C22×C4—611no—
473C22×C4—611no—
474C22×C4—611no—
475C22×C4—614no—
476C22×C4—612no—
477C22×C4—614no—
478C22×C4—614no—
479C22×C4—612no—
480C22×C4—614no—
481C22×C4—614no—
482C22×C4—614no—
483C22×C4—614no—
484C22×C4—1222no—
485C22×C4—1222no—
486C22×C4—1222no—
487C22×C4—1222no—
488C22×C4—1222no—
489C22×C4—1222no—
490C22×C4—12216no—
491C22×C4—12216no—
492C22×C4—12232no—
493C22×C4—1222no—
494C22×C4—1222no—
495C22×C4—1222no—
496C22×C4—1222no—
497C22×C4—1222no—
498C22×C4—1222no—
499C22×C4—1222no—
500C22×C4—1222no—
501C22×C4—1222no—
502C22×C4—1222no—
503C22×C4—12232no—
504C22×C4—1222no—
505C22×C4—1222no—
506C22×C4—1222no—
507C22×C4—1222no—
508C22×C4—1222no—
509C22×C4—1222no—
510C22×C4—1222no—
511C22×C4—1222no—
512C22×C4—1222no—
513C22×C4—1222no—
514C22×C4—1222no—
515C22×C4—1222no—
516C22×C4—1222no—
517C22×C4D61⋊C814yescomplemented
518C22×C4C4⋊#692314yes—
519C22×C4C22×#692311yescharacteristic
520C22×C4C22×#692311yescharacteristic
521C22×C4C22×#692311yescharacteristic
522C22×C4C22×#692311yescharacteristic
523C22×C4C22×#692311yescharacteristic
524C22×C4C22×#692311yescharacteristic
525C2×C8—1228no—
526C2×C8—1228no—
527C2×C8—1228no—
528C2×C8—24416no—
529C42—22no—
530C42—22no—
531C42—22no—
532C42—614no—
533C42—614no—
534C42—614no—
535C42—1222no—
536C42—1222no—
537C42—1222no—
538C42—1222no—
539C42—1222no—
540C42—1222no—
541C42—1222no—
542C42—1222no—
543C42—1222no—
544C42C22⋊#692314yes—
545C23—21no—
546C23—21no—
547C23—21no—
548C23—21no—
549C23—612no—
550C23—612no—
551C23—612no—
552C23—612no—
553C23—612no—
554C23—612no—
555C23—612no—
556C23—6116no—
557C23—612no—
558C23—612no—
559C23—612no—
560C23—1228no—
561C23—1228no—
562C23—1228no—
563C23—1228no—
564C23—1228no—
565C23—1228no—
566C23—1221no—
567C23—1221no—
568C23—1221no—
569C23—1221no—
570C23C2×C4⋊#692312yes—
571C23C2×D61⋊C812yes—
572C23D61⋊M1612yes—
573C23C23×#692311yescharacteristic
574C2×C4—28no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—28no—
584C2×C4—28no—
585C2×C4—612no—
586C2×C4—612no—
587C2×C4—611no—
588C2×C4—611no—
589C2×C4—612no—
590C2×C4—612no—
591C2×C4—612no—
592C2×C4—618no—
593C2×C4—618no—
594C2×C4—6116no—
595C2×C4—612no—
596C2×C4—612no—
597C2×C4—612no—
598C2×C4—612no—
599C2×C4—1228no—
600C2×C4—1224no—
601C2×C4—1224no—
602C2×C4—1228no—
603C2×C4—1228no—
604C2×C4—1228no—
605C2×C4—1228no—
606C2×C4—1228no—
607C2×C4—1228no—
608C2×C4—1228no—
609C2×C4—1224no—
610C2×C4—1224no—
611C2×C4—1228no—
612C2×C4—1221no—
613C2×C4—1221no—
614C2×C4—1221no—
615C2×C4—1221no—
616C2×C4—1221no—
617C2×C4—1221no—
618C2×C4—1221no—
619C2×C4—1221no—
620C2×C4—1228no—
621C2×C4—1228no—
622C2×C4C2×C22⋊#692312yes—
623C2×C4C2×C22⋊#692312yes—
624C2×C4C2×C22⋊#692312yes—
625C2×C4C2×C4⋊#692312yes—
626C2×C4C2×C4⋊#692312yes—
627C2×C4#1451985612yes—
628C2×C4C2×D61⋊C812yes—
629C2×C4C2×D61⋊C812yes—
630C2×C4D61⋊M1612yes—
631C2×C4D61⋊M1612yes—
632C8—2448no—
633C22—22no—
634C22—22no—
635C22—22no—
636C22—22no—
637C22—22no—
638C22—22no—
639C22—614no—
640C22—614no—
641C22—614no—
642C22—614no—
643C22—614no—
644C22—614no—
645C22—614no—
646C22—614no—
647C22—12232no—
648C22—1222no—
649C22—1222no—
650C22—1222no—
651C22—1222no—
652C22—1222no—
653C22—1222no—
654C22D61⋊(C4⋊C8)14yescomplemented
655C22C22×C22⋊#692311yescharacteristic
656C22C22×C4⋊#692311yescharacteristic
657C22C2×#1451985611yescharacteristic
658C22C22×D61⋊C811yescharacteristic
659C22C2×D61⋊M1611yescharacteristic
660C22C2×D61⋊M1611yescharacteristic
661C22C2×D61⋊M1611yescharacteristic
662C4—22no—
663C4—22no—
664C4—22no—
665C4—22no—
666C4—614no—
667C4—612no—
668C4—612no—
669C4—1222no—
670C4—1222no—
671C4—1222no—
672C4—1222no—
673C4#1684070414yes—
674C4D61⋊(C22⋊C8)14yescomplemented
675C2—24no—
676C2—618no—
677C2—1224no—
678C2C2×#1684070411yescharacteristic
679C2C2×D61⋊(C22⋊C8)11yescharacteristic
680C2D61⋊#40711yescharacteristic
681C2C2×D61⋊(C4⋊C8)11yescharacteristic
682C2D61⋊#42311yescharacteristic
683C2D61⋊#43111yescharacteristic
684C2D61⋊#43211yescharacteristic
subgroupG/H
centerC22×C4C22×#6923
commutatorC22×C61C23×C8
FrattiniC23C23×#6923
FittingC22×C42×C61C4
socleC23×C61C23×C4
prime radicalC24×D61C2×C4
cosocleC22×Dic61C24
hypercenterC22×C42#6923
hypocenterC61C2×#1797
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C22×C4 ◁ C22×C42

Complements

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

NH ≅ G/Ntype
1. C2×D61⋊(C4⋊C8)C2semidirect
3. #21461676C2semidirect
4. #21461675C2semidirect
5. #21461674C2semidirect
6. #21461673C2semidirect
7. #21461480C2semidirect
10. C2×#14519844C22semidirect
12. C2×C4⋊#92420C22semidirect
16. #16840628C22semidirect
17. #16840628C22semidirect
53. C22×C4×D61C8semidirect
117. C22×C4×C61C2×C8semidirect
131. C22×Dic61C2×C8semidirect
172. C2×C4×D61C2×C8semidirect
173. C2×C4×D61C2×C8semidirect
220. C22×D61C4⋊C8semidirect
286. C4×D61C22⋊C8semidirect
297. C22×C61C2×C4⋊C8semidirect
316. C2×D61C2×C4⋊C8semidirect
325. C4×C61C2×C22⋊C8semidirect
330. Dic61C2×C22⋊C8semidirect
350. D61#1797semidirect
376. C61C2×#1797semidirect
517. C22×C4D61⋊C8semidirect
654. C22D61⋊(C4⋊C8)semidirect
674. C4D61⋊(C22⋊C8)semidirect

Maximal subgroups

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

subgroupindex
C2×D61⋊(C4⋊C8)2
C2×D61⋊(C22⋊C8)2
#214616762
#214616752
#214616742
#214616732
#214614802
C22×C42×D612
C2×#179761