Finite Group Databasebeta

← #30615216

Subgroups — #30615216

Order 15616.

1738 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
1D61⋊#432C211yesmaximal, characteristic, complemented
2#21462266C211yesmaximal, characteristic, complemented
3#21461722C212yesmaximal, complemented
4#21461689C214yesmaximal, complemented
5#21461657C212yesmaximal
6#21461589C214yesmaximal, complemented
7C2×C4×D4×D61C211yesmaximal, characteristic
8#16840785—21no—
9#16840784—21no—
10#16840783—21no—
11#16840782—21no—
12D61⋊(C4⋊C8)C2212yescomplemented
13C2×#14519839C2218yes—
14D61⋊(C22⋊C8)C2212yes—
15#16840721C2212yescomplemented
16#16840707—21no—
17#16840706C2212yescomplemented
18#16840705—21no—
19#16840704C2212yes—
20C4×C4⋊#6923C2212yescomplemented
21C4×C22⋊#6923—21no—
22#16840698—21no—
23#16840635C2218yescomplemented
24C22×D4×D61C2211yescharacteristic
25C23×C4×D61—21no—
26C2×C4×D244C411yescharacteristic, complemented
27C2×D4×Dic61C411yescharacteristic, complemented
28C2×#14519739C411yescharacteristic, complemented
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×D61C412yescomplemented
36C4×D4×D61C412yescomplemented
37C4×D4×D61C2212yes—
38C4×D4×D61C2212yes—
39C2×C4⋊C4×D61C2211yescharacteristic
40C2×C22⋊C4×D61—21no—
41C2×C42×D61C2211yescharacteristic
42C2×C4×D4×C61C411yescharacteristic, complemented
43C2×D61⋊C8C2314yes—
44C2×C4⋊#6923C2314yes—
45C2×C22⋊#6923—22no—
46C2×C4×#6923—22no—
47#14519844—22no—
48C4⋊#92420—22no—
49#14519839—216no—
50#14519834—22no—
51C22⋊#92420—22no—
52#14519832—22no—
53#14519832—22no—
54(C2×#6923)⋊C4—22no—
55(C2×#6923)⋊C4—22no—
56(C2×#6923)⋊C4—22no—
57(C2×#6923)⋊C4—22no—
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×D61C2312yes—
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×D61D411yescharacteristic
76C22×C4×D61D411yescharacteristic
77C22×C4×D61C2311yescharacteristic
78C4×D244—21no—
79C4×D244—21no—
80C4×D244C2×C412yes—
81C4×D244C2×C412yes—
82D4×Dic61—21no—
83D4×Dic61—21no—
84D4×Dic61C2×C412yes—
85D4×Dic61C2×C412yes—
86#14519739—21no—
87#14519739—21no—
88#14519739C2×C412yes—
89#14519739C2×C412yes—
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×D61C2312yes—
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×Dic61C2×C411yescharacteristic
112C2×C4×Dic61D411yescharacteristic
113C2×C4×Dic61D411yescharacteristic
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—28no—
133C23×D61—21no—
134C23×D61—22no—
135C23×D61—22no—
136C23×D61—44no—
137C23×D61—44no—
138C23×D61C2×D411yescharacteristic
139C22×#6923—24no—
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—44no—
157C22×Dic61C22⋊C411yescharacteristic
158C22×Dic61C22⋊C411yescharacteristic
159C22×Dic61C2×D411yescharacteristic
160D4×D61—28no—
161D4×D61—28no—
162D4×D61—24no—
163D4×D61—24no—
164D4×D61—24no—
165D4×D61#4118yes—
166C2×D244—21no—
167C2×D244—24no—
168C2×D244C22×C412yes—
169C2×C4×D61—24no—
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—48no—
182C2×C4×D61—44no—
183C2×C4×D61—44no—
184C2×C4×D61—44no—
185C2×C4×D61C22⋊C411yescharacteristic
186C2×C4×D61C22⋊C411yescharacteristic
187C2×C4×D61C22⋊C411yescharacteristic
188C2×C4×D61C22⋊C411yescharacteristic
189C2×C4×D61C22×C411yescharacteristic
190C2×C4×D61C2×D411yescharacteristic
191C2×C4×D61C2×D411yescharacteristic
192C2×C4×D61C2×D411yescharacteristic
193C2×C4×D61C2×D411yescharacteristic
194C2×C4×D61C2×D411yescharacteristic
195C2×C4×D61C2×D411yescharacteristic
196C2×C4×D61C2411yescharacteristic
197C22⋊#6923—44no—
198C2×#92420—24no—
199C4⋊#6923—28no—
200C4×#6923—44no—
201D61⋊C8—28no—
202C4⋊C4×C61—21no—
203C4⋊C4×C61C22×C412yes—
204C22⋊C4×C61—22no—
205C22⋊C4×C61—22no—
206C42×C61C22⋊C411yescharacteristic
207C42×C61C22⋊C411yescharacteristic
208C42×C61C22×C411yescharacteristic
209C42×C61C22×C411yescharacteristic
210C22⋊Dic61—22no—
211C22⋊Dic61—22no—
212#11758198—22no—
213#11758198—22no—
214#11758198—22no—
215#11758198—22no—
216C4⋊Dic61—21no—
217C4⋊Dic61C22×C412yes—
218#11758196—22no—
219#11758196—22no—
220C4×Dic61C22⋊C411yescharacteristic
221C4×Dic61C22⋊C411yescharacteristic
222C4×Dic61C22⋊C411yescharacteristic
223C4×Dic61C22⋊C411yescharacteristic
224C4×Dic61C22⋊C411yescharacteristic
225C4×Dic61C22⋊C411yescharacteristic
226C4×Dic61C22×C411yescharacteristic
227C4×Dic61C22×C411yescharacteristic
228C4×Dic61C2×D411yescharacteristic
229C4×Dic61C2×D411yescharacteristic
230C4×Dic61C2×D411yescharacteristic
231C4×Dic61C2×D411yescharacteristic
232C23×C61—24no—
233C23×C61—22no—
234C23×C61—42no—
235C23×C61—42no—
236C23×C61C2×C22⋊C411yescharacteristic
237C22×D61—22no—
238C22×D61—22no—
239C22×D61—24no—
240C22×D61—28no—
241C22×D61—22no—
242C22×D61—28no—
243C22×D61—44no—
244C22×D61—432no—
245C22×D61—42no—
246C22×D61—42no—
247C22×D61—44no—
248C22×D61—44no—
249C22×D61—44no—
250C22×D61C2×C22⋊C411yescharacteristic
251C22×D61AGL(1,ℤ/8)14yes—
252C22×D61C22×D411yescharacteristic
253C2×#6923—44no—
254C2×#6923—44no—
255C2×#6923—44no—
256D4×C61—24no—
257D4×C61—22no—
258D4×C61#11714yes—
259C2×C4×C61—22no—
260C2×C4×C61—22no—
261C2×C4×C61—22no—
262C2×C4×C61—41no—
263C2×C4×C61—44no—
264C2×C4×C61—44no—
265C2×C4×C61—42no—
266C2×C4×C61C2×C22⋊C411yescharacteristic
267C2×C4×C61C2×C22⋊C411yescharacteristic
268C2×C4×C61C2×C22⋊C411yescharacteristic
269C2×C4×C61C2×C22⋊C411yescharacteristic
270C2×C4×C61C2×C22⋊C411yescharacteristic
271C2×C4×C61C23×C411yescharacteristic
272C22⋊D61—28no—
273C22⋊D61—28no—
274C2×Dic61—22no—
275C2×Dic61—22no—
276C2×Dic61—22no—
277C2×Dic61—41no—
278C2×Dic61—44no—
279C2×Dic61—44no—
280C2×Dic61—42no—
281C2×Dic61C2×C22⋊C411yescharacteristic
282C2×Dic61C2×C22⋊C411yescharacteristic
283C2×Dic61C2×C22⋊C411yescharacteristic
284C2×Dic61C2×C22⋊C411yescharacteristic
285C2×Dic61C2×C22⋊C411yescharacteristic
286C2×Dic61C22×D411yescharacteristic
287D244—24no—
288D244—22no—
289D244#11714yes—
290C4×D61—22no—
291C4×D61—22no—
292C4×D61—22no—
293C4×D61—22no—
294C4×D61—22no—
295C4×D61—22no—
296C4×D61—22no—
297C4×D61—22no—
298C4×D61—22no—
299C4×D61—41no—
300C4×D61—41no—
301C4×D61—44no—
302C4×D61—44no—
303C4×D61—44no—
304C4×D61—44no—
305C4×D61—44no—
306C4×D61—44no—
307C4×D61C2×#4114yes—
308#92420—44no—
309#20739—611nomaximal, Sylow
310C22×C61—21no—
311C22×C61—21no—
312C22×C61—24no—
313C22×C61—48no—
314C22×C61—42no—
315C22×C61—42no—
316C22×C61#41812yes—
317C22×C61C22×C22⋊C411yescharacteristic
318C2×D61—21no—
319C2×D61—21no—
320C2×D61—28no—
321C2×D61—24no—
322C2×D61—416no—
323C2×D61—48no—
324C2×D61—42no—
325C2×D61—42no—
326C2×D61—416no—
327C2×D61#41812yes—
328C2×D61#52512yes—
329C2×D61C2×AGL(1,ℤ/8)12yes—
330C2×D61#57512yes—
331#6923—84no—
332C4×C61—21no—
333C4×C61—21no—
334C4×C61—21no—
335C4×C61—21no—
336C4×C61—21no—
337C4×C61—42no—
338C4×C61C2×#11712yes—
339Dic61—21no—
340Dic61—21no—
341Dic61—21no—
342Dic61—21no—
343Dic61—21no—
344Dic61—42no—
345Dic61#52512yes—
346C22×C4×D4—611no—
347C2×#432—611no—
348#2283—611no—
349#1823—612no—
350#1804—614no—
351#1786—612no—
352#1762—614no—
353C2×C61—22no—
354C2×C61—44no—
355C2×C61#228011yescharacteristic
356C2×C61C2×#41811yescharacteristic
357C2×C61#289611yescharacteristic
358D61—22no—
359D61—44no—
360D61#311414yes—
361C23×D4—611no—
362C24×C4—1221no—
363C2×C4×D4—611no—
364C2×C4×D4—612no—
365C2×C4×D4—612no—
366C2×C4×D4—612no—
367C2×C4×D4—612no—
368C2×C4×D4—611no—
369C2×C4×D4—611no—
370C2×C4×D4—1221no—
371C2×C4×D4—1221no—
372C2×C4×D4—1221no—
373C2×C4×D4—1221no—
374C2×C4×D4—1221no—
375C2×C4×D4—1221no—
376C2×C4×D4#692311yescharacteristic, complemented
377C22×C4⋊C4—611no—
378C22×C22⋊C4—1221no—
379C22×C42—611no—
380#432—1221no—
381#432—1221no—
382#432—1221no—
383#432—1221no—
384C2×C4⋊C8—612no—
385C2×#102—618no—
386C2×C22⋊C8—612no—
387C2×#97—612no—
388#383—1221no—
389#382—612no—
390#381—1221no—
391#380—612no—
392C4×C4⋊C4—612no—
393C4×C22⋊C4—1221no—
394#376—1221no—
395#340—618no—
396C61#2073911yescharacteristic, complemented, Sylow
397C25—1221no—
398C22×D4—612no—
399C22×D4—612no—
400C22×D4—611no—
401C22×D4—1221no—
402C22×D4—1221no—
403C22×D4—1221no—
404C22×D4—1228no—
405C22×D4C2×#692311yescharacteristic
406C23×C4—21no—
407C23×C4—611no—
408C23×C4—611no—
409C23×C4—611no—
410C23×C4—1221no—
411C23×C4—1222no—
412C23×C4—1222no—
413C23×C4—1222no—
414C23×C4—1222no—
415C23×C4—1221no—
416C23×C4—1221no—
417C23×C4—1221no—
418C23×C4—2448no—
419C22×C8—614no—
420C4×D4—21no—
421C4×D4—21no—
422C4×D4—612no—
423C4×D4—612no—
424C4×D4—612no—
425C4×D4—612no—
426C4×D4—612no—
427C4×D4—612no—
428C4×D4—1222no—
429C4×D4—1222no—
430C4×D4—1222no—
431C4×D4—1222no—
432C4×D4—1221no—
433C4×D4—1221no—
434C4×D4—1222no—
435C4×D4—1222no—
436C4×D4—1222no—
437C4×D4—1222no—
438C4×D4—1221no—
439C4×D4—1221no—
440C4×D4—1221no—
441C4×D4—1221no—
442C4×D4C2×#692312yes—
443C4×D4C2×#692312yes—
444C2×C4⋊C4—611no—
445C2×C4⋊C4—612no—
446C2×C4⋊C4—612no—
447C2×C4⋊C4—614no—
448C2×C4⋊C4—1221no—
449C2×C4⋊C4—1221no—
450C2×C4⋊C4—1221no—
451C2×C4⋊C4C2×#692311yescharacteristic
452C2×C22⋊C4—21no—
453C2×C22⋊C4—1222no—
454C2×C22⋊C4—1222no—
455C2×C22⋊C4—1222no—
456C2×C22⋊C4—1222no—
457C2×C22⋊C4—1221no—
458C2×C22⋊C4—1221no—
459C2×C22⋊C4—1221no—
460C2×C22⋊C4—1222no—
461C2×C42—611no—
462C2×C42—611no—
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—1222no—
473C2×C42C2×#692311yescharacteristic
474C4⋊C8—1222no—
475C4⋊C8—1222no—
476#102—12216no—
477C22⋊C8—1222no—
478C22⋊C8—1222no—
479#97—1222no—
480#97—1222no—
481#95—1222no—
482#95—1222no—
483#95—1222no—
484#95—1222no—
485C24—21no—
486C24—611no—
487C24—1222no—
488C24—1222no—
489C24—1228no—
490C24—1221no—
491C24—2444no—
492C24—2444no—
493C2×D4—24no—
494C2×D4—21no—
495C2×D4—618no—
496C2×D4—612no—
497C2×D4—1224no—
498C2×D4—1224no—
499C2×D4—1222no—
500C2×D4—1222no—
501C2×D4—1224no—
502C2×D4—1228no—
503C2×D4—1228no—
504C2×D4—1228no—
505C2×D4—1224no—
506C2×D4—1221no—
507C2×D4C22×#692312yes—
508C22×C4—21no—
509C22×C4—22no—
510C22×C4—22no—
511C22×C4—44no—
512C22×C4—611no—
513C22×C4—611no—
514C22×C4—611no—
515C22×C4—611no—
516C22×C4—611no—
517C22×C4—611no—
518C22×C4—611no—
519C22×C4—611no—
520C22×C4—611no—
521C22×C4—611no—
522C22×C4—611no—
523C22×C4—611no—
524C22×C4—611no—
525C22×C4—611no—
526C22×C4—611no—
527C22×C4—1224no—
528C22×C4—1222no—
529C22×C4—1222no—
530C22×C4—1224no—
531C22×C4—1222no—
532C22×C4—1222no—
533C22×C4—1222no—
534C22×C4—1222no—
535C22×C4—1221no—
536C22×C4—1222no—
537C22×C4—1222no—
538C22×C4—1224no—
539C22×C4—2444no—
540C22×C4—2442no—
541C22×C4—2448no—
542C22×C4—2448no—
543C22×C4—2448no—
544C22×C4—2448no—
545C22×C4—2444no—
546C22×C4—2444no—
547C22×C4—2444no—
548C22×C4C22⋊#692311yescharacteristic
549C22×C4C22⋊#692311yescharacteristic
550C22×C4C22×#692311yescharacteristic
551C2×C8—1224no—
552C2×C8—1228no—
553C4⋊C4—21no—
554C4⋊C4—612no—
555C4⋊C4—1222no—
556C4⋊C4—1222no—
557C4⋊C4—1228no—
558C4⋊C4—1221no—
559C4⋊C4C22×#692312yes—
560C22⋊C4—22no—
561C22⋊C4—22no—
562C22⋊C4—1222no—
563C22⋊C4—1222no—
564C22⋊C4—1222no—
565C22⋊C4—1222no—
566C22⋊C4—1222no—
567C22⋊C4—1222no—
568C22⋊C4—2444no—
569C42—611no—
570C42—611no—
571C42—611no—
572C42—611no—
573C42—611no—
574C42—611no—
575C42—611no—
576C42—611no—
577C42—611no—
578C42—611no—
579C42—611no—
580C42—611no—
581C42—2444no—
582C42C22⋊#692311yescharacteristic
583C42C22⋊#692311yescharacteristic
584C42C22×#692311yescharacteristic
585C42C22×#692311yescharacteristic
586C23—24no—
587C23—22no—
588C23—42no—
589C23—42no—
590C23—611no—
591C23—614no—
592C23—611no—
593C23—1222no—
594C23—1222no—
595C23—1228no—
596C23—1224no—
597C23—1228no—
598C23—1222no—
599C23—2442no—
600C23—2444no—
601C23—2444no—
602C23—2444no—
603C23—24432no—
604C23—2444no—
605C23—2442no—
606C23C2×C22⋊#692311yescharacteristic
607D4—24no—
608D4—22no—
609D4—614no—
610D4—1224no—
611D4—1228no—
612D4—1228no—
613D4—1222no—
614D4#1451985614yes—
615C2×C4—22no—
616C2×C4—22no—
617C2×C4—22no—
618C2×C4—41no—
619C2×C4—44no—
620C2×C4—44no—
621C2×C4—42no—
622C2×C4—611no—
623C2×C4—614no—
624C2×C4—611no—
625C2×C4—611no—
626C2×C4—611no—
627C2×C4—611no—
628C2×C4—611no—
629C2×C4—1222no—
630C2×C4—1222no—
631C2×C4—1222no—
632C2×C4—1222no—
633C2×C4—1222no—
634C2×C4—1222no—
635C2×C4—1222no—
636C2×C4—1222no—
637C2×C4—1222no—
638C2×C4—1222no—
639C2×C4—1222no—
640C2×C4—1222no—
641C2×C4—2441no—
642C2×C4—2441no—
643C2×C4—2444no—
644C2×C4—2444no—
645C2×C4—2444no—
646C2×C4—2444no—
647C2×C4—2444no—
648C2×C4—2444no—
649C2×C4—2441no—
650C2×C4—2444no—
651C2×C4—2444no—
652C2×C4—2444no—
653C2×C4—2444no—
654C2×C4—2444no—
655C2×C4—2442no—
656C2×C4C2×C22⋊#692311yescharacteristic
657C2×C4C2×C22⋊#692311yescharacteristic
658C2×C4C2×C22⋊#692311yescharacteristic
659C2×C4C2×C22⋊#692311yescharacteristic
660C2×C4C2×C22⋊#692311yescharacteristic
661C2×C4C23×#692311yescharacteristic
662C8—2444no—
663C22—21no—
664C22—21no—
665C22—24no—
666C22—48no—
667C22—42no—
668C22—42no—
669C22—612no—
670C22—612no—
671C22—612no—
672C22—612no—
673C22—1228no—
674C22—1221no—
675C22—1221no—
676C22—1224no—
677C22—2448no—
678C22—24416no—
679C22—24416no—
680C22—2442no—
681C22—2442no—
682C22#1684075412yes—
683C22C22×C22⋊#692311yescharacteristic
684C4—21no—
685C4—21no—
686C4—21no—
687C4—21no—
688C4—21no—
689C4—42no—
690C4—612no—
691C4—1221no—
692C4—1221no—
693C4—1221no—
694C4—1221no—
695C4—1221no—
696C4—4884no—
697C4—2442no—
698C4C2×#1451985612yes—
699C2—22no—
700C2—44no—
701C2—614no—
702C2—1222no—
703C2—2444no—
704C2#2146226311yescharacteristic
705C2C2×#1684075411yescharacteristic
706C2#2146243911yescharacteristic
subgroupG/H
centerC22C22×C22⋊#6923
commutatorC2×C4×C61C23×C4
FrattiniC2×C4C23×#6923
FittingC2×C4×D4×C61C4
socleC22×C61C22×C22⋊C4
prime radicalC22×D4×D61C22
cosocleC2×C4×D61C24
hypercenterC2×C4×D4#6923
hypocenterC61#20739
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C2×C42 ◁ C2×C4×D4

Complements

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

NH ≅ G/Ntype
1. D61⋊#432C2semidirect
2. #21462266C2semidirect
3. #21461722C2semidirect
4. #21461689C2semidirect
6. #21461589C2semidirect
12. D61⋊(C4⋊C8)C22semidirect
15. #16840721C22semidirect
17. #16840706C22semidirect
20. C4×C4⋊#6923C22semidirect
23. #16840635C22semidirect
26. C2×C4×D244C4semidirect
27. C2×D4×Dic61C4semidirect
28. C2×#14519739C4semidirect
35. C4×D4×D61C4semidirect
36. C4×D4×D61C4semidirect
42. C2×C4×D4×C61C4semidirect
376. C2×C4×D4#6923semidirect
396. C61#20739semidirect

Maximal subgroups

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

subgroupindex
D61⋊#4322
#214622662
#214617222
#214616892
#214616572
#214615892
C2×C4×D4×D612
#2073961