Finite Group Databasebeta

← #29700078

Subgroups — #29700078

Order 15616.

876 conjugacy classes of subgroups.

The subgroup lattice has 692 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C4×D4×Dic61C211yesmaximal, characteristic
2#21446618C211yesmaximal, characteristic
3#21446435C211yesmaximal, characteristic, complemented
4#21446429C211yesmaximal, characteristic, complemented
5#21446428C211yesmaximal, characteristic, complemented
6#21446422C211yesmaximal, characteristic, complemented
7#21445935C211yesmaximal, characteristic, complemented
8#21445885C211yesmaximal, characteristic, complemented
9#21445885C211yesmaximal, characteristic, complemented
10#21445696C211yesmaximal, characteristic, complemented
11#21445691C211yesmaximal, characteristic, complemented
12#21445673C211yesmaximal, characteristic, complemented
13#21445583C211yesmaximal, characteristic, complemented
14C22⋊C8×Dic61C211yesmaximal, characteristic, complemented
15C61×#1955C211yesmaximal, characteristic
16C2×D4×Dic61C411yescharacteristic
17C2×D4×Dic61C411yescharacteristic
18C22×C4×Dic61C2211yescharacteristic
19C22×C4×Dic61C2211yescharacteristic
20C2×C4⋊#92418C2211yescharacteristic
21C2×#14519706C2211yescharacteristic
22C2×#14519706C2211yescharacteristic
23C2×C22⋊#92418C2211yescharacteristic
24C2×C22⋊#92418C2211yescharacteristic
25C2×C22⋊#92418C2211yescharacteristic
26C2×C22⋊#92418C2211yescharacteristic
27C2×#14519688C2211yescharacteristic
28C2×#14519687C2211yescharacteristic
29C2×#14519687C2211yescharacteristic
30C2×C8×Dic61C2211yescharacteristic
31C2×C8×Dic61C2211yescharacteristic
32C4⋊C4×Dic61C411yescharacteristic
33C4⋊C4×Dic61C411yescharacteristic
34C4×C4⋊Dic61C2211yescharacteristic
35C22⋊C4×Dic61C411yescharacteristic
36C22⋊C4×Dic61C411yescharacteristic
37C22⋊C4×Dic61C411yescharacteristic
38C22⋊C4×Dic61C411yescharacteristic
39C4×C22⋊Dic61C2211yescharacteristic
40C4×C22⋊Dic61C2211yescharacteristic
41C42×Dic61C2211yescharacteristic
42#16839516C2211yescharacteristic
43#16839516C2211yescharacteristic
44#16839516C2211yescharacteristic
45#16839516C2211yescharacteristic
46#16839516C2211yescharacteristic
47#16839516C2211yescharacteristic
48#16839516C2211yescharacteristic
49#16839516C2211yescharacteristic
50#16839516C2211yescharacteristic
51#16839516C2211yescharacteristic
52C2×C4×D4×C61C2211yescharacteristic
53C2×C4⋊C8×C61C2211yescharacteristic
54C2×C22⋊C8×C61C2211yescharacteristic
55C2×C22⋊C8×C61C2211yescharacteristic
56C2×C22⋊C8×C61C2211yescharacteristic
57C2×C22⋊C8×C61C2211yescharacteristic
58C2×#97×C61C2211yescharacteristic
59C23×Dic61C2×C411yescharacteristic
60C23×Dic61C2×C411yescharacteristic
61C23×Dic61C2×C411yescharacteristic
62C23×Dic61C2×C411yescharacteristic
63C22×#92418C2311yescharacteristic
64C22×#92418C2311yescharacteristic
65C22×#92418C2311yescharacteristic
66C22×#92418C2311yescharacteristic
67D4×Dic61—24no—
68D4×Dic61—24no—
69C2×C4⋊Dic61C2×C411yescharacteristic
70C2×C4⋊Dic61C2×C411yescharacteristic
71C2×C22⋊Dic61C2×C411yescharacteristic
72C2×C22⋊Dic61C2×C411yescharacteristic
73C2×C22⋊Dic61C2×C411yescharacteristic
74C2×C22⋊Dic61C2×C411yescharacteristic
75C2×C4×Dic61—41no—
76C2×C4×Dic61—41no—
77C2×C4×Dic61—41no—
78C2×C4×Dic61—41no—
79C2×C4×Dic61C2×C411yescharacteristic
80C2×C4×Dic61C2×C411yescharacteristic
81C2×C4×Dic61C2×C411yescharacteristic
82C2×C4×Dic61C2×C411yescharacteristic
83C2×C4×Dic61C2×C411yescharacteristic
84C2×C4×Dic61C2×C411yescharacteristic
85C2×C4×Dic61C2×C411yescharacteristic
86C2×C4×Dic61C2×C411yescharacteristic
87C2×C4×Dic61C2311yescharacteristic
88C2×C4×Dic61C2311yescharacteristic
89C2×C4×Dic61C2311yescharacteristic
90C2×C4×Dic61C2311yescharacteristic
91C4⋊#92418—22no—
92#14519706—22no—
93#14519706—22no—
94C22⋊#92418—22no—
95C22⋊#92418—22no—
96C22⋊#92418—41no—
97C22⋊#92418—41no—
98#14519688—22no—
99#14519687—41no—
100#14519687—41no—
101C8×Dic61—41no—
102C8×Dic61—41no—
103#14519684C2×C411yescharacteristic
104#14519684C2×C411yescharacteristic
105#14519684C2×C411yescharacteristic
106#14519684C2×C411yescharacteristic
107#14519684C2×C411yescharacteristic
108#14519684C2×C411yescharacteristic
109C22×D4×C61C2×C411yescharacteristic
110C23×C4×C61C2311yescharacteristic
111C23×C4×C61C2311yescharacteristic
112C22×C8×C61C2311yescharacteristic
113C22×C8×C61C2311yescharacteristic
114C22×C8×C61C2311yescharacteristic
115C22×C8×C61C2311yescharacteristic
116C4×D4×C61—22no—
117C4×D4×C61—22no—
118C2×C4⋊C4×C61C2×C411yescharacteristic
119C2×C22⋊C4×C61C2×C411yescharacteristic
120C2×C22⋊C4×C61C2×C411yescharacteristic
121C2×C42×C61C2311yescharacteristic
122C4⋊C8×C61—22no—
123C22⋊C8×C61—22no—
124C22⋊C8×C61—22no—
125C22⋊C8×C61—41no—
126C22⋊C8×C61—41no—
127#97×C61—22no—
128C24×C61C22×C411yescharacteristic
129C24×C61C22×C411yescharacteristic
130C2×D4×C61—22no—
131C2×D4×C61—22no—
132C2×D4×C61—22no—
133C22×C4×C61—21no—
134C22×C4×C61—21no—
135C22×C4×C61—21no—
136C22×C4×C61—21no—
137C22×C4×C61—21no—
138C22×C4×C61—21no—
139C22×C4×C61—21no—
140C22×C4×C61—21no—
141C22×C4×C61—21no—
142C22×C4×C61—21no—
143C22×C4×C61—21no—
144C22×C4×C61—21no—
145C22×C4×C61C22×C411yescharacteristic
146C22×C4×C61C22×C411yescharacteristic
147C22×C4×C61C22×C411yescharacteristic
148C22×C4×C61C22×C411yescharacteristic
149C22×C4×C61C2411yescharacteristic
150C22×Dic61—22no—
151C22×Dic61—22no—
152C22×Dic61—22no—
153C22×Dic61—22no—
154C22×Dic61—22no—
155C22×Dic61—41no—
156C22×Dic61—41no—
157C22×Dic61—41no—
158C22×Dic61—41no—
159C22×Dic61—41no—
160C22×Dic61—41no—
161C22×Dic61M1614yes—
162C22×Dic61C22×C411yescharacteristic
163C22×Dic61C22×C411yescharacteristic
164C22×Dic61C22×C411yescharacteristic
165C22×Dic61C22×C411yescharacteristic
166C22×Dic61C22×C411yescharacteristic
167C22×Dic61C22×C411yescharacteristic
168C22×Dic61C22×C411yescharacteristic
169C22×Dic61C22×C411yescharacteristic
170C2×C8×C61—21no—
171C2×C8×C61—21no—
172C2×C8×C61—21no—
173C2×C8×C61—21no—
174C2×C8×C61—21no—
175C2×C8×C61—21no—
176C2×C8×C61—21no—
177C2×C8×C61—21no—
178C2×C8×C61—21no—
179C2×C8×C61—21no—
180C2×C8×C61—21no—
181C2×C8×C61#4112yes—
182C4⋊C4×C61—22no—
183C22⋊C4×C61—22no—
184C22⋊C4×C61—22no—
185C42×C61#4112yes—
186C42×C61#4112yes—
187C22⋊Dic61—22no—
188C22⋊Dic61—22no—
189C22⋊Dic61—22no—
190C22⋊Dic61M1614yes—
191C4⋊Dic61—22no—
192C4⋊Dic61—22no—
193C4×Dic61—21no—
194C4×Dic61—21no—
195C4×Dic61—21no—
196C4×Dic61—21no—
197C4×Dic61—21no—
198C4×Dic61—21no—
199C4×Dic61—21no—
200C4×Dic61—21no—
201C4×Dic61—22no—
202C4×Dic61—22no—
203C4×Dic61—22no—
204C4×Dic61—41no—
205C4×Dic61—41no—
206C4×Dic61—41no—
207C4×Dic61—41no—
208C4×Dic61—41no—
209C2×#92418—21no—
210C2×#92418—21no—
211C2×#92418—21no—
212C2×#92418—21no—
213C2×#92418—21no—
214C2×#92418—21no—
215C2×#92418—21no—
216C2×#92418—21no—
217C2×#92418—21no—
218C2×#92418—21no—
219C2×#92418—21no—
220C2×#92418#4112yes—
221C23×C61—21no—
222C23×C61—21no—
223C23×C61—21no—
224C23×C61—21no—
225C23×C61—21no—
226C23×C61—21no—
227C23×C61—21no—
228C23×C61—21no—
229C23×C61—21no—
230C23×C61—21no—
231C23×C61—21no—
232C23×C61—21no—
233C23×C61C2×M1612yes—
234C23×C61C2×M1612yes—
235C23×C61C23×C411yescharacteristic
236D4×C61—28no—
237C2×C4×C61—21no—
238C2×C4×C61—21no—
239C2×C4×C61—21no—
240C2×C4×C61—21no—
241C2×C4×C61—21no—
242C2×C4×C61—21no—
243C2×C4×C61—21no—
244C2×C4×C61—21no—
245C2×C4×C61—21no—
246C2×C4×C61—21no—
247C2×C4×C61—41no—
248C2×C4×C61—41no—
249C2×C4×C61—41no—
250C2×C4×C61—41no—
251C2×C4×C61—41no—
252C2×C4×C61—41no—
253C2×C4×C61—41no—
254C2×C4×C61—41no—
255C2×C4×C61#11712yes—
256C2×C4×C61#11712yes—
257C2×C4×C61C2×#4111yescharacteristic
258C2×C4×C61C2×#4111yescharacteristic
259C2×C4×C61C2×#4111yescharacteristic
260C2×C4×C61C2×#4111yescharacteristic
261C2×C4×C61H(5,𝔽2)11yescharacteristic
262C2×C4×C61H(5,𝔽2)11yescharacteristic
263C2×Dic61—21no—
264C2×Dic61—21no—
265C2×Dic61—21no—
266C2×Dic61—21no—
267C2×Dic61—21no—
268C2×Dic61—21no—
269C2×Dic61—21no—
270C2×Dic61—21no—
271C2×Dic61—21no—
272C2×Dic61—21no—
273C2×Dic61—21no—
274C2×Dic61—21no—
275C2×Dic61—21no—
276C2×Dic61—21no—
277C2×Dic61—21no—
278C2×Dic61—21no—
279C2×Dic61—21no—
280C2×Dic61—21no—
281C2×Dic61—21no—
282C2×Dic61—44no—
283C2×Dic61—44no—
284C2×Dic61—44no—
285C2×Dic61—44no—
286C2×Dic61C2×M1612yes—
287C2×Dic61C2×M1612yes—
288C2×Dic61C2×M1612yes—
289C2×Dic61C2×M1612yes—
290C2×Dic61#13112yes—
291C8×C61—22no—
292C8×C61—41no—
293C8×C61—41no—
294C8×C61—41no—
295#92418—22no—
296#92418—41no—
297#92418—41no—
298#92418—41no—
299#22837—611nomaximal, Sylow
300C22×C61—22no—
301C22×C61—22no—
302C22×C61—22no—
303C22×C61—22no—
304C22×C61—22no—
305C22×C61—22no—
306C22×C61—41no—
307C22×C61—41no—
308C22×C61—41no—
309C22×C61—41no—
310C22×C61—41no—
311C22×C61—41no—
312C22×C61—41no—
313C22×C61—41no—
314C22×C61C2×#11711yescharacteristic
315C22×C61C4×#4111yescharacteristic
316C22×C61#51811yescharacteristic
317C22×C61C22×M1611yescharacteristic
318C22×C61C22×M1611yescharacteristic
319C22×C61C2×#13111yescharacteristic
320C22×C61#56811yescharacteristic
321C4×C61—22no—
322C4×C61—22no—
323C4×C61—41no—
324C4×C61—41no—
325C4×C61#55311yescharacteristic
326C4×C61#55311yescharacteristic
327C4×C61#55911yescharacteristic
328C4×C61#55911yescharacteristic
329Dic61—22no—
330Dic61—22no—
331Dic61—22no—
332Dic61—22no—
333Dic61—22no—
334Dic61—41no—
335Dic61—41no—
336Dic61—41no—
337C42×D4—611no—
338#1955—611no—
339#1955D6111yescharacteristic
340#1924—611no—
341#1924—611no—
342#1923—611no—
343#1923—611no—
344#1831—611no—
345#1817—611no—
346#1817—611no—
347#1771—611no—
348#1771—611no—
349#1767—611no—
350#1749—611no—
351C4×C22⋊C8—611no—
352C2×C61—42no—
353C2×C61—42no—
354C2×C61#235711yescharacteristic
355C2×C61#292011yescharacteristic
356C2×C61#292511yescharacteristic
357C2×C61#296511yescharacteristic
358C2×C61#297011yescharacteristic
359C2×C61#297311yescharacteristic
360C2×C61#297411yescharacteristic
361C2×C4×D4—611no—
362C2×C4×D4—611no—
363C2×C4×D4C2×D6111yescharacteristic
364C22×C42—611no—
365C22×C42—611no—
366C2×C4⋊C8—611no—
367C2×C4⋊C8—611no—
368C2×C4⋊C8—611no—
369C2×C4⋊C8C2×D6111yescharacteristic
370C2×C22⋊C8—611no—
371C2×C22⋊C8—611no—
372C2×C22⋊C8—611no—
373C2×C22⋊C8—611no—
374C2×C22⋊C8C2×D6111yescharacteristic
375C2×C22⋊C8C2×D6111yescharacteristic
376C2×C22⋊C8C2×D6111yescharacteristic
377C2×C22⋊C8C2×D6111yescharacteristic
378C2×#97—611no—
379C2×#97—611no—
380C2×#97—611no—
381C2×#97C2×D6111yescharacteristic
382C2×C4×C8—611no—
383C2×C4×C8—611no—
384C4×C4⋊C4—611no—
385C4×C4⋊C4—611no—
386C4×C4⋊C4—611no—
387C4×C22⋊C4—611no—
388C4×C22⋊C4—611no—
389C4×C22⋊C4—611no—
390C4×C22⋊C4—611no—
391C4×C22⋊C4—611no—
392C4×C22⋊C4—611no—
393C43—611no—
394#336—611no—
395#336—611no—
396#336—611no—
397#336—611no—
398#336—611no—
399#336—611no—
400#336—611no—
401#336—611no—
402#336—611no—
403#336—611no—
404C61#2283711yescharacteristic, complemented, Sylow
405C22×D4C4×D6111yescharacteristic
406C23×C4—611no—
407C23×C4—611no—
408C23×C4—611no—
409C23×C4—611no—
410C23×C4C22×D6111yescharacteristic
411C23×C4C22×D6111yescharacteristic
412C22×C8—611no—
413C22×C8—611no—
414C22×C8—611no—
415C22×C8—611no—
416C22×C8C22×D6111yescharacteristic
417C22×C8C22×D6111yescharacteristic
418C22×C8C22×D6111yescharacteristic
419C22×C8C22×D6111yescharacteristic
420C4×D4—22no—
421C4×D4—22no—
422C4×D4—1224no—
423C4×D4—1224no—
424C2×C4⋊C4—611no—
425C2×C4⋊C4—611no—
426C2×C4⋊C4C4×D6111yescharacteristic
427C2×C22⋊C4—611no—
428C2×C22⋊C4—611no—
429C2×C22⋊C4—611no—
430C2×C22⋊C4—611no—
431C2×C22⋊C4C4×D6111yescharacteristic
432C2×C22⋊C4C4×D6111yescharacteristic
433C2×C42—611no—
434C2×C42—611no—
435C2×C42—611no—
436C2×C42—611no—
437C2×C42—611no—
438C2×C42—611no—
439C2×C42—611no—
440C2×C42—611no—
441C2×C42—611no—
442C2×C42—611no—
443C2×C42—611no—
444C2×C42—611no—
445C2×C42—2441no—
446C2×C42—2441no—
447C2×C42—2441no—
448C2×C42—2441no—
449C2×C42C22×D6111yescharacteristic
450C4⋊C8—22no—
451C4⋊C8—1222no—
452C4⋊C8—1222no—
453C4⋊C8—1222no—
454C22⋊C8—22no—
455C22⋊C8—22no—
456C22⋊C8—41no—
457C22⋊C8—41no—
458C22⋊C8—1222no—
459C22⋊C8—1222no—
460C22⋊C8—2441no—
461C22⋊C8—2441no—
462#97—22no—
463#97—1222no—
464#97—2441no—
465#97—2441no—
466C4×C8—2441no—
467C4×C8—2441no—
468#95—611no—
469#95—611no—
470#95—611no—
471#95—611no—
472#95—611no—
473#95—611no—
474C24C2×C4×D6111yescharacteristic
475C24C2×C4×D6111yescharacteristic
476C2×D4—22no—
477C2×D4—22no—
478C2×D4—22no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—611no—
492C22×C4—611no—
493C22×C4—611no—
494C22×C4—611no—
495C22×C4—611no—
496C22×C4—614no—
497C22×C4—611no—
498C22×C4—611no—
499C22×C4—611no—
500C22×C4—1222no—
501C22×C4—1222no—
502C22×C4—1222no—
503C22×C4—1222no—
504C22×C4—1222no—
505C22×C4—2441no—
506C22×C4—2441no—
507C22×C4—2441no—
508C22×C4—2441no—
509C22×C4—2441no—
510C22×C4—2441no—
511C22×C4C2×C4×D6111yescharacteristic
512C22×C4C2×C4×D6111yescharacteristic
513C22×C4C2×C4×D6111yescharacteristic
514C22×C4C2×C4×D6111yescharacteristic
515C22×C4C23×D6111yescharacteristic
516C2×C8—21no—
517C2×C8—21no—
518C2×C8—21no—
519C2×C8—21no—
520C2×C8—21no—
521C2×C8—21no—
522C2×C8—21no—
523C2×C8—21no—
524C2×C8—21no—
525C2×C8—21no—
526C2×C8—21no—
527C2×C8—612no—
528C2×C8—1221no—
529C2×C8—1221no—
530C2×C8—1221no—
531C2×C8—1221no—
532C2×C8—1221no—
533C2×C8—1221no—
534C2×C8—1221no—
535C2×C8—1221no—
536C2×C8—1221no—
537C2×C8—1221no—
538C2×C8—1221no—
539C2×C8#1175822412yes—
540C4⋊C4—22no—
541C4⋊C4—1222no—
542C4⋊C4—1222no—
543C22⋊C4—22no—
544C22⋊C4—22no—
545C22⋊C4—614no—
546C22⋊C4—1222no—
547C22⋊C4—1222no—
548C22⋊C4—1222no—
549C42—1222no—
550C42—1222no—
551C42—1222no—
552C42—1221no—
553C42—1221no—
554C42—1221no—
555C42—1221no—
556C42—1221no—
557C42—1221no—
558C42—1221no—
559C42—1221no—
560C42—2441no—
561C42—2441no—
562C42—2441no—
563C42—2441no—
564C42—2441no—
565C42#1175822412yes—
566C42#1175822412yes—
567C23—21no—
568C23—21no—
569C23—21no—
570C23—21no—
571C23—21no—
572C23—21no—
573C23—21no—
574C23—21no—
575C23—21no—
576C23—21no—
577C23—21no—
578C23—21no—
579C23M16×D6112yes—
580C23M16×D6112yes—
581C23C22×C4×D6111yescharacteristic
582D4—28no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—21no—
592C2×C4—21no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—41no—
599C2×C4—41no—
600C2×C4—41no—
601C2×C4—612no—
602C2×C4—612no—
603C2×C4—612no—
604C2×C4—612no—
605C2×C4—612no—
606C2×C4—1221no—
607C2×C4—1221no—
608C2×C4—1221no—
609C2×C4—1221no—
610C2×C4—1221no—
611C2×C4—1221no—
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—1221no—
621C2×C4—1221no—
622C2×C4—1221no—
623C2×C4—1221no—
624C2×C4—1221no—
625C2×C4—2444no—
626C2×C4—2444no—
627C2×C4—2444no—
628C2×C4—2444no—
629C2×C4#1451973312yes—
630C2×C4#1451973312yes—
631C2×C4#41×D6111yescharacteristic
632C2×C4C2×#1175822411yescharacteristic
633C2×C4C2×#1175822411yescharacteristic
634C2×C4C2×#1175822411yescharacteristic
635C2×C4#1451982211yescharacteristic
636C2×C4#1451982311yescharacteristic
637C8—22no—
638C8—41no—
639C8—41no—
640C8—41no—
641C8—1222no—
642C8—2441no—
643C8—2441no—
644C8—2441no—
645C22—22no—
646C22—22no—
647C22—22no—
648C22—22no—
649C22—22no—
650C22—22no—
651C22—41no—
652C22—41no—
653C22—41no—
654C22—41no—
655C22—41no—
656C22—41no—
657C22—41no—
658C22—41no—
659C22C2×#1451973311yescharacteristic
660C22C4×#1175822411yescharacteristic
661C22#1684023411yescharacteristic
662C22C2×M16×D6111yescharacteristic
663C22C2×M16×D6111yescharacteristic
664C22#131×D6111yescharacteristic
665C22#1684052711yescharacteristic
666C4—22no—
667C4—22no—
668C4—41no—
669C4—41no—
670C4—1222no—
671C4—1222no—
672C4—1222no—
673C4—1222no—
674C4—1222no—
675C4—2441no—
676C4—2441no—
677C4—2441no—
678C4#1684045911yescharacteristic
679C4#1684046411yescharacteristic
680C4#1684049411yescharacteristic
681C4#1684049811yescharacteristic
682C2—42no—
683C2—42no—
684C2#2144879111yescharacteristic
685C2#2145444811yescharacteristic
686C2#2145448111yescharacteristic
687C2#2145477911yescharacteristic
688C2#2145482911yescharacteristic
689C2#2145484411yescharacteristic
690C2#2145484911yescharacteristic
subgroupG/H
center, FrattiniC22×C4C23×D61
commutator, socleC23×C61C23×C4
FittingC61×#1955C2
prime radicalC22×D4×C61C2×C4
cosocleC22×C4×C61C24
hypercenter#1955D61
hypocenterC61#22837
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C22×C4 ◁ #1955

Complements

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

NH ≅ G/Ntype
3. #21446435C2semidirect
4. #21446429C2semidirect
5. #21446428C2semidirect
6. #21446422C2semidirect
7. #21445935C2semidirect
8. #21445885C2semidirect
9. #21445885C2semidirect
10. #21445696C2semidirect
11. #21445691C2semidirect
12. #21445673C2semidirect
13. #21445583C2semidirect
14. C22⋊C8×Dic61C2semidirect
404. C61#22837semidirect

Maximal subgroups

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

subgroupindex
C4×D4×Dic612
#214466182
#214464352
#214464292
#214464282
#214464222
#214459352
#214458852
#214456962
#214456912
#214456732
#214455832
C22⋊C8×Dic612
C61×#19552
#2283761