Finite Group Databasebeta

← #29698182

Subgroups — #29698182

Order 15616.

970 conjugacy classes of subgroups.

The subgroup lattice has 672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16839804C211yesmaximal, characteristic, complemented
2C2×#16839800C211yesmaximal, characteristic, complemented
3#21448768C211yesmaximal, characteristic
4#21448748C211yesmaximal, characteristic
5#21446589C211yesmaximal, characteristic, complemented
6#21446578C211yesmaximal, characteristic, complemented
7#21446020C211yesmaximal, characteristic, complemented
8#21446020C211yesmaximal, characteristic, complemented
9#21446020C211yesmaximal, characteristic, complemented
10#21446009C211yesmaximal, characteristic, complemented
11#21445987C211yesmaximal, characteristic, complemented
12#21445852C211yesmaximal, characteristic, complemented
13#21445848C211yesmaximal, characteristic, complemented
14#21445716C211yesmaximal, characteristic, complemented
15C2×C61×#435C211yesmaximal, characteristic
16C2×#14519736C2211yescharacteristic
17C2×#14519736C2211yescharacteristic
18C2×#14519736C2211yescharacteristic
19C22×C4⋊Dic61C2211yescharacteristic
20#16839804—24no—
21#16839800—24no—
22C2×#14519711C2211yescharacteristic
23C2×#14519711C2211yescharacteristic
24C2×#14519711C2211yescharacteristic
25C2×#14519711C2211yescharacteristic
26C2×#14519711C2211yescharacteristic
27C2×#14519711C2211yescharacteristic
28C2×#14519709C2211yescharacteristic
29C2×#14519709C2211yescharacteristic
30C2×#14519709C2211yescharacteristic
31C2×#14519709C2211yescharacteristic
32#16839665—21no—
33#16839655—21no—
34#16839655—21no—
35#16839655—21no—
36#16839648—21no—
37#16839642—21no—
38#16839632C2211yescharacteristic
39#16839628C2211yescharacteristic
40#16839622C2211yescharacteristic
41#16839622C2211yescharacteristic
42#16839622C2211yescharacteristic
43#16839622C2211yescharacteristic
44C4⋊C4×Dic61—21no—
45C4×C4⋊Dic61C2211yescharacteristic
46C4×C4⋊Dic61C2211yescharacteristic
47C22⋊C4×Dic61—21no—
48#16839525C2211yescharacteristic
49#16839525C2211yescharacteristic
50#16839525C2211yescharacteristic
51#16839525C2211yescharacteristic
52#16839525C2211yescharacteristic
53#16839525C2211yescharacteristic
54C22×M16×C61C2211yescharacteristic
55C23×C8×C61C2211yescharacteristic
56C2×C4×D4×C61C2211yescharacteristic
57C61×#435C418yescomplemented
58C2×C4⋊C8×C61C2211yescharacteristic
59C2×C22⋊C8×C61C2211yescharacteristic
60C2×C22⋊C8×C61C2211yescharacteristic
61C2×#97×C61C2211yescharacteristic
62C23×Dic61—21no—
63#14519736—22no—
64#14519736—22no—
65#14519736—22no—
66#14519736—41no—
67#14519736—41no—
68#14519736—41no—
69C2×C4⋊Dic61—22no—
70C2×C4⋊Dic61—21no—
71C2×C4⋊Dic61—21no—
72C2×C4⋊Dic61—21no—
73C2×C4⋊Dic61—41no—
74C2×C4⋊Dic61C2311yescharacteristic
75C2×C4⋊Dic61C2311yescharacteristic
76C2×C4⋊Dic61C2311yescharacteristic
77C2×C4⋊Dic61C2311yescharacteristic
78C2×C4⋊Dic61C2311yescharacteristic
79C2×C4⋊Dic61C2311yescharacteristic
80C2×C4⋊Dic61C2311yescharacteristic
81C2×C4⋊Dic61C2311yescharacteristic
82C2×C22⋊Dic61—21no—
83C2×C22⋊Dic61—21no—
84C2×C22⋊Dic61—21no—
85C2×C22⋊Dic61—21no—
86C2×C22⋊Dic61—21no—
87C2×C22⋊Dic61—21no—
88C2×C22⋊Dic61—21no—
89C2×C4×Dic61—21no—
90C2×C4×Dic61—21no—
91C2×C4×Dic61—21no—
92C2×C4×Dic61—21no—
93C2×C4×Dic61—21no—
94#14519711—22no—
95#14519711—22no—
96#14519711—22no—
97#14519711—22no—
98#14519711—22no—
99#14519711—41no—
100#14519709—22no—
101#14519709—22no—
102#14519709—41no—
103#14519709D414yescomplemented
104#14519684—21no—
105#14519684—21no—
106#14519684—21no—
107#14519684—21no—
108#14519684—21no—
109#14519684—21no—
110#14519684—21no—
111#14519684—21no—
112C22×D4×C61D411yescharacteristic
113C23×C4×C61C2311yescharacteristic
114C23×C4×C61C2311yescharacteristic
115C2×M16×C61—22no—
116C2×M16×C61—22no—
117C2×M16×C61C2×C414yes—
118C22×C8×C61—22no—
119C22×C8×C61—22no—
120C22×C8×C61C2×C414yescomplemented
121C22×C8×C61C2311yescharacteristic
122C22×C8×C61C2311yescharacteristic
123C22×C8×C61C2311yescharacteristic
124C22×C8×C61C2311yescharacteristic
125C4×D4×C61C2×C414yes—
126C4×D4×C61Q814yes—
127C2×C4⋊C4×C61D411yescharacteristic
128C2×C22⋊C4×C61D411yescharacteristic
129C2×C22⋊C4×C61D411yescharacteristic
130C2×C42×C61C2311yescharacteristic
131C4⋊C8×C61C2×C414yescomplemented
132C22⋊C8×C61C2×C414yes—
133C22⋊C8×C61C2×C414yescomplemented
134#97×C61C2×C414yescomplemented
135C24×C61C2×D411yescharacteristic
136C24×C61C2×D411yescharacteristic
137C2×D4×C61—41no—
138C2×D4×C61—41no—
139C2×D4×C61C4⋊C414yes—
140C22×C4×C61—21no—
141C22×C4×C61—21no—
142C22×C4×C61—21no—
143C22×C4×C61—21no—
144C22×C4×C61—21no—
145C22×C4×C61—21no—
146C22×C4×C61—21no—
147C22×C4×C61—21no—
148C22×C4×C61C22×C412yes—
149C22×C4×C61C22×C412yes—
150C22×C4×C61C2×D411yescharacteristic
151C22×C4×C61C2×D411yescharacteristic
152C22×C4×C61C2×D411yescharacteristic
153C22×C4×C61C2×D411yescharacteristic
154C22×C4×C61C2×Q812yes—
155C22×C4×C61C2×Q812yes—
156C22×C4×C61C2411yescharacteristic
157C22×Dic61—21no—
158C22×Dic61—21no—
159C22×Dic61—21no—
160C22×Dic61—21no—
161C22×Dic61—21no—
162C22×Dic61—21no—
163C22×Dic61—21no—
164C22×Dic61—21no—
165C22×Dic61—42no—
166C22×Dic61—42no—
167C22×Dic61—81no—
168M16×C61—28no—
169C2×C8×C61—21no—
170C2×C8×C61—21no—
171C2×C8×C61—21no—
172C2×C8×C61—21no—
173C2×C8×C61—21no—
174C2×C8×C61—21no—
175C2×C8×C61—28no—
176C2×C8×C61C22×C412yes—
177C2×C8×C61C22×C412yes—
178C2×C8×C61C22×C412yes—
179C2×C8×C61C22×C412yes—
180C2×C8×C61C2×D412yes—
181C2×C8×C61#4112yes—
182C4⋊C4×C61C4⋊C414yes—
183C22⋊C4×C61C4⋊C414yes—
184C22⋊C4×C61C4⋊C414yes—
185C42×C61C22×C412yes—
186C42×C61C2×Q812yes—
187C22⋊Dic61—42no—
188C22⋊Dic61—42no—
189C22⋊Dic61—42no—
190C22⋊Dic61—42no—
191C22⋊Dic61—81no—
192C22⋊Dic61—81no—
193C22⋊Dic61—81no—
194C4⋊Dic61—21no—
195C4⋊Dic61—21no—
196C4⋊Dic61—21no—
197C4⋊Dic61—21no—
198C4⋊Dic61—21no—
199C4⋊Dic61—21no—
200C4⋊Dic61—21no—
201C4⋊Dic61—21no—
202C4⋊Dic61—21no—
203C4⋊Dic61—21no—
204C4⋊Dic61—21no—
205C4⋊Dic61—21no—
206C4⋊Dic61—21no—
207C4⋊Dic61—21no—
208C4⋊Dic61—42no—
209C4⋊Dic61—42no—
210C4⋊Dic61—81no—
211C4⋊Dic61C2×D412yes—
212C4⋊Dic61C2×D412yes—
213C4×Dic61—42no—
214C4×Dic61—42no—
215C4×Dic61—42no—
216C4×Dic61—42no—
217C4×Dic61—81no—
218C23×C61—21no—
219C23×C61—21no—
220C23×C61—21no—
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×C61C2×C4⋊C412yes—
231C23×C61C2×C4⋊C412yes—
232C23×C61C22×D411yescharacteristic
233D4×C61—44no—
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—21no—
241C2×C4×C61—21no—
242C2×C4×C61—22no—
243C2×C4×C61—22no—
244C2×C4×C61—22no—
245C2×C4×C61—22no—
246C2×C4×C61—22no—
247C2×C4×C61—22no—
248C2×C4×C61—22no—
249C2×C4×C61—22no—
250C2×C4×C61C2×C4⋊C412yes—
251C2×C4×C61C2×C4⋊C412yes—
252C2×C4×C61C2×C4⋊C412yes—
253C2×C4×C61C2×C4⋊C412yes—
254C2×C4×C61C23×C411yescharacteristic
255C2×C4×C61C22×D411yescharacteristic
256C2×C4×C61C22×Q811yescharacteristic
257C2×C4×C61C2×#4111yescharacteristic
258C2×C4×C61H(5,𝔽2)11yescharacteristic
259C2×C4×C612−1+411yescharacteristic
260C2×Dic61—22no—
261C2×Dic61—22no—
262C2×Dic61—41no—
263C2×Dic61—41no—
264C2×Dic61—41no—
265C2×Dic61—41no—
266C2×Dic61—41no—
267C2×Dic61—41no—
268C2×Dic61—41no—
269C2×Dic61—41no—
270C2×Dic61—41no—
271C2×Dic61—41no—
272C2×Dic61—41no—
273C2×Dic61—41no—
274C2×Dic61—41no—
275C2×Dic61—41no—
276C2×Dic61—41no—
277C2×Dic61—41no—
278C2×Dic61—41no—
279C2×Dic61—41no—
280C2×Dic61—41no—
281C2×Dic61—41no—
282C2×Dic61—41no—
283C2×Dic61—41no—
284C2×Dic61—84no—
285C8×C61—22no—
286C8×C61—22no—
287C8×C61—22no—
288C8×C61C4×D414yes—
289#22660—611nomaximal, Sylow
290C22×C61—22no—
291C22×C61—22no—
292C22×C61—22no—
293C22×C61—22no—
294C22×C61—22no—
295C22×C61—22no—
296C22×C61—41no—
297C22×C61—41no—
298C22×C61—41no—
299C22×C61—41no—
300C22×C61—41no—
301C22×C61—41no—
302C22×C61—41no—
303C22×C61—41no—
304C22×C61C22×C4⋊C411yescharacteristic
305C22×C61D4211yescharacteristic
306C22×C61#54711yescharacteristic
307C22×C61#57511yescharacteristic
308C22×C61#57511yescharacteristic
309C22×C61#57611yescharacteristic
310C22×C61#57811yescharacteristic
311C4×C61—22no—
312C4×C61—22no—
313C4×C61—22no—
314C4×C61—22no—
315C4×C61C2×C4×D411yescharacteristic
316C4×C61#52011yescharacteristic
317C4×C61D4×Q811yescharacteristic
318C4×C61#55411yescharacteristic
319Dic61—42no—
320Dic61—42no—
321Dic61—81no—
322Dic61—81no—
323Dic61—81no—
324Dic61—81no—
325Dic61—81no—
326Dic61—81no—
327C2×#435D6111yescharacteristic
328C2×#428—611no—
329C2×#427—611no—
330#2354—611no—
331#2352—611no—
332#1949—611no—
333#1947—611no—
334#1854—611no—
335#1854—611no—
336#1854—611no—
337#1852—611no—
338#1847—611no—
339#1809—611no—
340#1808—611no—
341#1776—611no—
342C2×C61—42no—
343C2×C61—42no—
344C2×C61D4×C4⋊C411yescharacteristic
345C2×C61#291111yescharacteristic
346C2×C61#291311yescharacteristic
347C2×C61#326811yescharacteristic
348C2×C61#326911yescharacteristic
349C2×C61#334711yescharacteristic
350C2×C61#334911yescharacteristic
351C22×M16C2×D6111yescharacteristic
352C23×C8C2×D6111yescharacteristic
353C2×C4×D4C2×D6111yescharacteristic
354C2×#117—611no—
355C2×#117—611no—
356C2×#117—611no—
357C22×C4⋊C4—611no—
358#435Dic6118yescomplemented
359#428—1224no—
360#427—1224no—
361C2×#107—611no—
362C2×#107—611no—
363C2×#107—611no—
364C2×#107—611no—
365C2×#107—611no—
366C2×#107—611no—
367C2×#106—611no—
368C2×#106—611no—
369C2×#106—611no—
370C2×#106—611no—
371C2×C4⋊C8C2×D6111yescharacteristic
372C2×C22⋊C8C2×D6111yescharacteristic
373C2×C22⋊C8C2×D6111yescharacteristic
374C2×#97C2×D6111yescharacteristic
375#390—1221no—
376#388—1221no—
377#388—1221no—
378#388—1221no—
379#387—1221no—
380#386—1221no—
381#384—611no—
382#382—611no—
383#380—611no—
384#380—611no—
385#380—611no—
386#380—611no—
387C4×C4⋊C4—611no—
388C4×C4⋊C4—611no—
389C4×C4⋊C4—1221no—
390C4×C22⋊C4—1221no—
391#340—611no—
392#340—611no—
393#340—611no—
394#340—611no—
395#340—611no—
396#340—611no—
397C61#2266011yescharacteristic, complemented, Sylow
398C22×D4D24411yescharacteristic
399C23×C4—1221no—
400C23×C4C22×D6111yescharacteristic
401C23×C4C22×D6111yescharacteristic
402C2×M16—22no—
403C2×M16—22no—
404C2×M16C2×Dic6114yes—
405C22×C8—22no—
406C22×C8—22no—
407C22×C8C2×Dic6114yescomplemented
408C22×C8C22×D6111yescharacteristic
409C22×C8C22×D6111yescharacteristic
410C22×C8C22×D6111yescharacteristic
411C22×C8C22×D6111yescharacteristic
412C4×D4Dic12214yes—
413C4×D4C2×Dic6114yes—
414#117—1222no—
415#117—1222no—
416#117—1222no—
417#117—2441no—
418#117—2441no—
419#117—2441no—
420C2×C4⋊C4—611no—
421C2×C4⋊C4—611no—
422C2×C4⋊C4—611no—
423C2×C4⋊C4—611no—
424C2×C4⋊C4—611no—
425C2×C4⋊C4—611no—
426C2×C4⋊C4—611no—
427C2×C4⋊C4—611no—
428C2×C4⋊C4—1222no—
429C2×C4⋊C4—1221no—
430C2×C4⋊C4—1221no—
431C2×C4⋊C4—1221no—
432C2×C4⋊C4—2441no—
433C2×C4⋊C4D24411yescharacteristic
434C2×C22⋊C4—1221no—
435C2×C22⋊C4—1221no—
436C2×C22⋊C4—1221no—
437C2×C22⋊C4—1221no—
438C2×C22⋊C4—1221no—
439C2×C22⋊C4—1221no—
440C2×C22⋊C4—1221no—
441C2×C22⋊C4D24411yescharacteristic
442C2×C22⋊C4D24411yescharacteristic
443C2×C42—1221no—
444C2×C42—1221no—
445C2×C42—1221no—
446C2×C42—1221no—
447C2×C42—1221no—
448C2×C42C22×D6111yescharacteristic
449#107—1222no—
450#107—1222no—
451#107—1222no—
452#107—1222no—
453#107—1222no—
454#107—2441no—
455#106—614no—
456#106—1222no—
457#106—1222no—
458#106—2441no—
459C4⋊C8C2×Dic6114yescomplemented
460C22⋊C8C2×Dic6114yes—
461C22⋊C8C2×Dic6114yescomplemented
462#97C2×Dic6114yescomplemented
463#95—1221no—
464#95—1221no—
465#95—1221no—
466#95—1221no—
467#95—1221no—
468#95—1221no—
469#95—1221no—
470#95—1221no—
471C24C2×D24411yescharacteristic
472C24C2×D24411yescharacteristic
473C2×D4—41no—
474C2×D4—41no—
475C2×D4C4⋊Dic6114yes—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4—1221no—
485C22×C4—1221no—
486C22×C4—1221no—
487C22×C4—1221no—
488C22×C4—1221no—
489C22×C4—1221no—
490C22×C4—1221no—
491C22×C4—1221no—
492C22×C4—4881no—
493C22×C4—2442no—
494C22×C4—2442no—
495C22×C4C2×Dic12212yes—
496C22×C4C2×Dic12212yes—
497C22×C4C2×D24411yescharacteristic
498C22×C4C2×D24411yescharacteristic
499C22×C4C2×D24411yescharacteristic
500C22×C4C2×D24411yescharacteristic
501C22×C4C22×Dic6112yes—
502C22×C4C22×Dic6112yes—
503C22×C4C23×D6111yescharacteristic
504M16—28no—
505C2×C8—21no—
506C2×C8—21no—
507C2×C8—21no—
508C2×C8—21no—
509C2×C8—21no—
510C2×C8—21no—
511C2×C8—28no—
512C2×C8D4×D6112yes—
513C2×C8#1175822412yes—
514C2×C8C22×Dic6112yes—
515C2×C8C22×Dic6112yes—
516C2×C8C22×Dic6112yes—
517C2×C8C22×Dic6112yes—
518C4⋊C4—612no—
519C4⋊C4—612no—
520C4⋊C4—1221no—
521C4⋊C4—1221no—
522C4⋊C4—1221no—
523C4⋊C4—1221no—
524C4⋊C4—1221no—
525C4⋊C4—1221no—
526C4⋊C4—1221no—
527C4⋊C4—1221no—
528C4⋊C4—1221no—
529C4⋊C4—1221no—
530C4⋊C4—1221no—
531C4⋊C4—1221no—
532C4⋊C4—1221no—
533C4⋊C4—1221no—
534C4⋊C4—4881no—
535C4⋊C4—2442no—
536C4⋊C4—2442no—
537C4⋊C4C4⋊Dic6114yes—
538C22⋊C4—4881no—
539C22⋊C4—4881no—
540C22⋊C4—4881no—
541C22⋊C4—2442no—
542C22⋊C4—2442no—
543C22⋊C4—2442no—
544C22⋊C4—2442no—
545C22⋊C4C4⋊Dic6114yes—
546C22⋊C4C4⋊Dic6114yes—
547C42—4881no—
548C42—2442no—
549C42—2442no—
550C42—2442no—
551C42—2442no—
552C42C2×Dic12212yes—
553C42C22×Dic6112yes—
554C23—21no—
555C23—21no—
556C23—21no—
557C23—21no—
558C23—21no—
559C23—21no—
560C23—21no—
561C23—21no—
562C23—21no—
563C23—21no—
564C23—21no—
565C23—21no—
566C23C2×C4⋊Dic6112yes—
567C23C2×C4⋊Dic6112yes—
568C23C22×D24411yescharacteristic
569D4—44no—
570C2×C4—21no—
571C2×C4—21no—
572C2×C4—21no—
573C2×C4—21no—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—22no—
579C2×C4—22no—
580C2×C4—22no—
581C2×C4—22no—
582C2×C4—22no—
583C2×C4—22no—
584C2×C4—22no—
585C2×C4—22no—
586C2×C4—1222no—
587C2×C4—1222no—
588C2×C4—4884no—
589C2×C4—2441no—
590C2×C4—2441no—
591C2×C4—2441no—
592C2×C4—2441no—
593C2×C4—2441no—
594C2×C4—2441no—
595C2×C4—2441no—
596C2×C4—2441no—
597C2×C4—2441no—
598C2×C4—2441no—
599C2×C4—2441no—
600C2×C4—2441no—
601C2×C4—2441no—
602C2×C4—2441no—
603C2×C4—2441no—
604C2×C4—2441no—
605C2×C4—2441no—
606C2×C4—2441no—
607C2×C4—2441no—
608C2×C4—2441no—
609C2×C4—2441no—
610C2×C4—2441no—
611C2×C4C2×C4⋊Dic6112yes—
612C2×C4C2×C4⋊Dic6112yes—
613C2×C4C2×C4⋊Dic6112yes—
614C2×C4C2×C4⋊Dic6112yes—
615C2×C4C23×Dic6111yescharacteristic
616C2×C4C2×D4×D6111yescharacteristic
617C2×C4C22×Dic12211yescharacteristic
618C2×C4C2×#1175822411yescharacteristic
619C2×C4#1451982311yescharacteristic
620C2×C4#1451982411yescharacteristic
621C8—22no—
622C8—22no—
623C8—22no—
624C8D4×Dic6114yes—
625C22—22no—
626C22—22no—
627C22—22no—
628C22—22no—
629C22—22no—
630C22—22no—
631C22—41no—
632C22—41no—
633C22—41no—
634C22—41no—
635C22—41no—
636C22—41no—
637C22—41no—
638C22—41no—
639C22C22×C4⋊Dic6111yescharacteristic
640C22D4×D24411yescharacteristic
641C22#1684041611yescharacteristic
642C22#1684056211yescharacteristic
643C22#1684056211yescharacteristic
644C22#1684056711yescharacteristic
645C22#1684057911yescharacteristic
646C4—22no—
647C4—22no—
648C4—22no—
649C4—22no—
650C4—4881no—
651C4—4881no—
652C4—4881no—
653C4—4881no—
654C4—4881no—
655C4—4881no—
656C4—2442no—
657C4—2442no—
658C4C2×D4×Dic6111yescharacteristic
659C4#1684024511yescharacteristic
660C4D4×Dic12211yescharacteristic
661C4#1684046911yescharacteristic
662C2—42no—
663C2—42no—
664C2D4×C4⋊Dic6111yescharacteristic
665C2#2145440911yescharacteristic
666C2#2145441911yescharacteristic
667C2#2145736411yescharacteristic
668C2#2145737911yescharacteristic
669C2#2145832111yescharacteristic
670C2#2145835111yescharacteristic
subgroupG/H
centerC23C22×D244
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC2×C61×#435C2
socleC23×C61C22×D4
prime radicalC22×D4×C61D4
cosocleC22×C4×C61C24
hypercenterC2×#435D61
hypocenterC61#22660
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×C4×D4 ◁ C2×#435

Complements

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

NH ≅ G/Ntype
1. C2×#16839804C2semidirect
2. C2×#16839800C2semidirect
5. #21446589C2semidirect
6. #21446578C2semidirect
7. #21446020C2semidirect
8. #21446020C2semidirect
9. #21446020C2semidirect
10. #21446009C2semidirect
11. #21445987C2semidirect
12. #21445852C2semidirect
13. #21445848C2semidirect
14. #21445716C2semidirect
57. C61×#435C4semidirect
103. #14519709D4semidirect
120. C22×C8×C61C2×C4semidirect
131. C4⋊C8×C61C2×C4semidirect
133. C22⋊C8×C61C2×C4semidirect
134. #97×C61C2×C4semidirect
358. #435Dic61semidirect
397. C61#22660semidirect
407. C22×C8C2×Dic61semidirect
459. C4⋊C8C2×Dic61semidirect
461. C22⋊C8C2×Dic61semidirect
462. #97C2×Dic61semidirect

Maximal subgroups

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

subgroupindex
C2×#168398042
C2×#168398002
#214487682
#214487482
#214465892
#214465782
#214460202
#214460092
#214459872
#214458522
#214458482
#214457162
C2×C61×#4352
#2266061