Finite Group Databasebeta

← #29698713

Subgroups — #29698713

Order 15616.

970 conjugacy classes of subgroups.

The subgroup lattice has 674 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21448748C211yesmaximal, characteristic
2D4×C4⋊Dic61C211yesmaximal, characteristic
3#21446589C211yesmaximal, characteristic, complemented
4#21446583C211yesmaximal, characteristic, complemented
5#21446020C211yesmaximal, characteristic, complemented
6#21446014C211yesmaximal, characteristic, complemented
7#21446014C211yesmaximal, characteristic, complemented
8#21446009C211yesmaximal, characteristic, complemented
9#21445953C211yesmaximal, characteristic, complemented
10#21445852C211yesmaximal, characteristic, complemented
11#21445844C211yesmaximal, characteristic, complemented
12#21445716C211yesmaximal, characteristic, complemented
13#21445539C211yesmaximal, characteristic, complemented
14C2×#16839525C211yesmaximal, characteristic, complemented
15C2×C61×#435C211yesmaximal, characteristic
16C2×D4×Dic61—21no—
17C2×#14519736C2211yescharacteristic
18C22×C4⋊Dic61C2211yescharacteristic
19C22×C4⋊Dic61C2211yescharacteristic
20C22×C4⋊Dic61C2211yescharacteristic
21C2×#14519711C2211yescharacteristic
22C2×#14519711C2211yescharacteristic
23C2×#14519709C2211yescharacteristic
24C2×#14519709C2211yescharacteristic
25C2×#14519709C2211yescharacteristic
26C2×#14519709C2211yescharacteristic
27#16839661—21no—
28#16839655—21no—
29#16839648—21no—
30#16839642—21no—
31#16839637—21no—
32#16839637—21no—
33#16839632C2211yescharacteristic
34#16839628C2211yescharacteristic
35#16839622C2211yescharacteristic
36#16839622C2211yescharacteristic
37#16839622C2211yescharacteristic
38#16839622C2211yescharacteristic
39C4×C4⋊Dic61C2211yescharacteristic
40C4×C4⋊Dic61C2211yescharacteristic
41C22⋊C4×Dic61—21no—
42#16839525C2211yescharacteristic
43#16839525C2211yescharacteristic
44#16839525C2211yescharacteristic
45#16839525C2211yescharacteristic
46#16839525C2211yescharacteristic
47#16839525C2211yescharacteristic
48#16839525C2211yescharacteristic
49#16839525C2211yescharacteristic
50#16839525C2211yescharacteristic
51#16839525C2211yescharacteristic
52C22×M16×C61C2211yescharacteristic
53C23×C8×C61C2211yescharacteristic
54C2×C4×D4×C61C2211yescharacteristic
55C61×#435C418yescomplemented
56C2×C4⋊C8×C61C2211yescharacteristic
57C2×C22⋊C8×C61C2211yescharacteristic
58C2×C22⋊C8×C61C2211yescharacteristic
59C2×#97×C61C2211yescharacteristic
60C23×Dic61—21no—
61C23×Dic61—21no—
62C23×Dic61—21no—
63D4×Dic61—44no—
64#14519736—22no—
65#14519736—41no—
66C2×C4⋊Dic61—22no—
67C2×C4⋊Dic61—22no—
68C2×C4⋊Dic61—22no—
69C2×C4⋊Dic61—21no—
70C2×C4⋊Dic61—21no—
71C2×C4⋊Dic61—21no—
72C2×C4⋊Dic61—21no—
73C2×C4⋊Dic61—21no—
74C2×C4⋊Dic61—41no—
75C2×C4⋊Dic61—41no—
76C2×C4⋊Dic61—41no—
77C2×C4⋊Dic61C2311yescharacteristic
78C2×C4⋊Dic61C2311yescharacteristic
79C2×C4⋊Dic61C2311yescharacteristic
80C2×C4⋊Dic61C2311yescharacteristic
81C2×C4⋊Dic61C2311yescharacteristic
82C2×C4⋊Dic61C2311yescharacteristic
83C2×C4⋊Dic61C2311yescharacteristic
84C2×C4⋊Dic61C2311yescharacteristic
85C2×C22⋊Dic61—21no—
86C2×C22⋊Dic61—21no—
87C2×C22⋊Dic61—21no—
88C2×C22⋊Dic61—21no—
89C2×C22⋊Dic61—21no—
90C2×C4×Dic61—21no—
91C2×C4×Dic61—21no—
92C2×C4×Dic61—21no—
93#14519711—22no—
94#14519711—41no—
95#14519709—22no—
96#14519709—41no—
97#14519709—41no—
98#14519709—41no—
99#14519684—21no—
100#14519684—21no—
101#14519684—21no—
102#14519684—21no—
103#14519684—21no—
104#14519684—21no—
105#14519684—21no—
106#14519684—21no—
107C22×D4×C61D411yescharacteristic
108C23×C4×C61C2311yescharacteristic
109C23×C4×C61C2311yescharacteristic
110C2×M16×C61—41no—
111C2×M16×C61—41no—
112C2×M16×C61C2×C414yescomplemented
113C22×C8×C61—41no—
114C22×C8×C61—41no—
115C22×C8×C61C2×C414yescomplemented
116C22×C8×C61C2311yescharacteristic
117C22×C8×C61C2311yescharacteristic
118C22×C8×C61C2311yescharacteristic
119C22×C8×C61C2311yescharacteristic
120C4×D4×C61C2×C414yes—
121C4×D4×C61Q814yes—
122C2×C4⋊C4×C61D411yescharacteristic
123C2×C22⋊C4×C61D411yescharacteristic
124C2×C22⋊C4×C61D411yescharacteristic
125C2×C42×C61C2311yescharacteristic
126C4⋊C8×C61C2×C414yescomplemented
127C22⋊C8×C61C2×C414yescomplemented
128C22⋊C8×C61C2×C414yescomplemented
129#97×C61C2×C414yescomplemented
130C24×C61C2×D411yescharacteristic
131C24×C61C2×D411yescharacteristic
132C2×D4×C61—22no—
133C2×D4×C61—22no—
134C2×D4×C61C4⋊C414yes—
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×C61C22×C412yes—
144C22×C4×C61C22×C412yes—
145C22×C4×C61C2×D411yescharacteristic
146C22×C4×C61C2×D411yescharacteristic
147C22×C4×C61C2×D411yescharacteristic
148C22×C4×C61C2×D411yescharacteristic
149C22×C4×C61C2×Q812yes—
150C22×C4×C61C2×Q812yes—
151C22×C4×C61C2411yescharacteristic
152C22×Dic61—21no—
153C22×Dic61—21no—
154C22×Dic61—21no—
155C22×Dic61—21no—
156C22×Dic61—21no—
157C22×Dic61—21no—
158C22×Dic61—21no—
159C22×Dic61—21no—
160C22×Dic61—42no—
161C22×Dic61—42no—
162C22×Dic61—42no—
163C22×Dic61—42no—
164C22×Dic61—42no—
165C22×Dic61—42no—
166C22×Dic61—81no—
167C22×Dic61—81no—
168C22×Dic61—81no—
169M16×C61—44no—
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—44no—
179C2×C8×C61C22×C412yes—
180C2×C8×C61C22×C412yes—
181C2×C8×C61C22×C412yes—
182C2×C8×C61C22×C412yes—
183C4⋊C4×C61C4⋊C414yes—
184C22⋊C4×C61C4⋊C414yes—
185C22⋊C4×C61C4⋊C414yes—
186C42×C61C22×C412yes—
187C42×C61C2×Q812yes—
188C22⋊Dic61—42no—
189C22⋊Dic61—42no—
190C22⋊Dic61—42no—
191C22⋊Dic61—42no—
192C22⋊Dic61—81no—
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—21no—
202C4⋊Dic61—21no—
203C4⋊Dic61—21no—
204C4⋊Dic61—21no—
205C4⋊Dic61—21no—
206C4⋊Dic61—21no—
207C4⋊Dic61—42no—
208C4⋊Dic61—42no—
209C4⋊Dic61—42no—
210C4⋊Dic61—42no—
211C4⋊Dic61—81no—
212C4⋊Dic61#4112yes—
213C4⋊Dic61#4112yes—
214C4×Dic61—42no—
215C4×Dic61—42no—
216C4×Dic61—81no—
217C23×C61—21no—
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×C61C2×C4⋊C412yes—
228C23×C61C2×C4⋊C412yes—
229C23×C61AGL(1,ℤ/8)12yes—
230C23×C61#13712yes—
231C23×C61C22×D411yescharacteristic
232D4×C61—28no—
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—21no—
241C2×C4×C61—22no—
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×C61C2×C4⋊C412yes—
250C2×C4×C61C2×C4⋊C412yes—
251C2×C4×C61C2×C4⋊C412yes—
252C2×C4×C61C2×C4⋊C412yes—
253C2×C4×C61C23×C411yescharacteristic
254C2×C4×C61C22×Q811yescharacteristic
255C2×C4×C61C2×#4111yescharacteristic
256C2×C4×C61C2×#4111yescharacteristic
257C2×C4×C61H(5,𝔽2)11yescharacteristic
258C2×C4×C61H(5,𝔽2)11yescharacteristic
259C2×Dic61—22no—
260C2×Dic61—22no—
261C2×Dic61—41no—
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—84no—
284C2×Dic61—84no—
285C2×Dic61—84no—
286C8×C61—22no—
287C8×C61—22no—
288C8×C61—22no—
289C8×C61—22no—
290#22711—611nomaximal, Sylow
291C22×C61—22no—
292C22×C61—22no—
293C22×C61—22no—
294C22×C61—22no—
295C22×C61—22no—
296C22×C61—22no—
297C22×C61—22no—
298C22×C61—22no—
299C22×C61—22no—
300C22×C61—41no—
301C22×C61—41no—
302C22×C61—41no—
303C22×C61—41no—
304C22×C61#42814yes—
305C22×C61C22×C4⋊C411yescharacteristic
306C22×C61#54611yescharacteristic
307C22×C61#54611yescharacteristic
308C22×C61C2×AGL(1,ℤ/8)11yescharacteristic
309C22×C61C2×#13711yescharacteristic
310C22×C61#57711yescharacteristic
311C22×C61#57711yescharacteristic
312C4×C61—22no—
313C4×C61—22no—
314C4×C61—22no—
315C4×C61—22no—
316C4×C61C4×#4111yescharacteristic
317C4×C61#51811yescharacteristic
318C4×C61#55411yescharacteristic
319C4×C61#55411yescharacteristic
320Dic61—42no—
321Dic61—42no—
322Dic61—81no—
323Dic61—81no—
324Dic61—81no—
325Dic61—81no—
326Dic61—81no—
327Dic61—81no—
328C2×#435D6111yescharacteristic
329#2352—611no—
330D4×C4⋊C4—611no—
331#1949—611no—
332#1948—611no—
333#1854—611no—
334#1853—611no—
335#1853—611no—
336#1852—611no—
337#1836—611no—
338#1809—611no—
339#1807—611no—
340#1776—611no—
341#1736—611no—
342C2×#340—611no—
343C2×C61—24no—
344C2×C61—42no—
345C2×C61#234911yescharacteristic
346C2×C61C2×#42811yescharacteristic
347C2×C61#291211yescharacteristic
348C2×C61#330611yescharacteristic
349C2×C61#331011yescharacteristic
350C2×C61#331611yescharacteristic
351C2×C61#332011yescharacteristic
352C22×M16C2×D6111yescharacteristic
353C23×C8C2×D6111yescharacteristic
354C2×C4×D4—1221no—
355C2×C4×D4C2×D6111yescharacteristic
356C2×#117—611no—
357C22×C4⋊C4—611no—
358C22×C4⋊C4—611no—
359C22×C4⋊C4—611no—
360#435Dic6118yescomplemented
361C2×#107—611no—
362C2×#107—611no—
363C2×#106—611no—
364C2×#106—611no—
365C2×#106—611no—
366C2×#106—611no—
367C2×C4⋊C8C2×D6111yescharacteristic
368C2×C22⋊C8C2×D6111yescharacteristic
369C2×C22⋊C8C2×D6111yescharacteristic
370C2×#97C2×D6111yescharacteristic
371#389—1221no—
372#388—1221no—
373#387—1221no—
374#386—1221no—
375#385—1221no—
376#385—1221no—
377#384—611no—
378#382—611no—
379#380—611no—
380#380—611no—
381#380—611no—
382#380—611no—
383C4×C4⋊C4—611no—
384C4×C4⋊C4—611no—
385C4×C22⋊C4—1221no—
386#340—611no—
387#340—611no—
388#340—611no—
389#340—611no—
390#340—611no—
391#340—611no—
392#340—611no—
393#340—611no—
394#340—611no—
395#340—611no—
396C61#2271111yescharacteristic, complemented, Sylow
397C22×D4D24411yescharacteristic
398C23×C4—1221no—
399C23×C4—1221no—
400C23×C4—1221no—
401C23×C4C22×D6111yescharacteristic
402C23×C4C22×D6111yescharacteristic
403C2×M16—41no—
404C2×M16—41no—
405C2×M16C2×Dic6114yescomplemented
406C22×C8—41no—
407C22×C8—41no—
408C22×C8C2×Dic6114yescomplemented
409C22×C8C22×D6111yescharacteristic
410C22×C8C22×D6111yescharacteristic
411C22×C8C22×D6111yescharacteristic
412C22×C8C22×D6111yescharacteristic
413C4×D4—2444no—
414C4×D4Dic12214yes—
415C4×D4C2×Dic6114yes—
416#117—1222no—
417#117—2441no—
418C2×C4⋊C4—611no—
419C2×C4⋊C4—611no—
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—1222no—
427C2×C4⋊C4—1222no—
428C2×C4⋊C4—1222no—
429C2×C4⋊C4—1221no—
430C2×C4⋊C4—1221no—
431C2×C4⋊C4—1221no—
432C2×C4⋊C4—1221no—
433C2×C4⋊C4—1221no—
434C2×C4⋊C4—2441no—
435C2×C4⋊C4—2441no—
436C2×C4⋊C4—2441no—
437C2×C4⋊C4D24411yescharacteristic
438C2×C22⋊C4—1221no—
439C2×C22⋊C4—1221no—
440C2×C22⋊C4—1221no—
441C2×C22⋊C4—1221no—
442C2×C22⋊C4—1221no—
443C2×C22⋊C4D24411yescharacteristic
444C2×C22⋊C4D24411yescharacteristic
445C2×C42—1221no—
446C2×C42—1221no—
447C2×C42—1221no—
448C2×C42C22×D6111yescharacteristic
449#107—1222no—
450#107—2441no—
451#106—1222no—
452#106—2441no—
453#106—2441no—
454#106—2441no—
455C4⋊C8C2×Dic6114yescomplemented
456C22⋊C8C2×Dic6114yescomplemented
457C22⋊C8C2×Dic6114yescomplemented
458#97C2×Dic6114yescomplemented
459#95—1221no—
460#95—1221no—
461#95—1221no—
462#95—1221no—
463#95—1221no—
464#95—1221no—
465#95—1221no—
466#95—1221no—
467C24C2×D24411yescharacteristic
468C24C2×D24411yescharacteristic
469C2×D4—22no—
470C2×D4—22no—
471C2×D4C4⋊Dic6114yes—
472C22×C4—21no—
473C22×C4—21no—
474C22×C4—21no—
475C22×C4—21no—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—1221no—
481C22×C4—1221no—
482C22×C4—1221no—
483C22×C4—1221no—
484C22×C4—1221no—
485C22×C4—1221no—
486C22×C4—1221no—
487C22×C4—1221no—
488C22×C4—4881no—
489C22×C4—4881no—
490C22×C4—4881no—
491C22×C4—2442no—
492C22×C4—2442no—
493C22×C4—2442no—
494C22×C4—2442no—
495C22×C4—2442no—
496C22×C4—2442no—
497C22×C4C2×Dic12212yes—
498C22×C4C2×Dic12212yes—
499C22×C4C2×D24411yescharacteristic
500C22×C4C2×D24411yescharacteristic
501C22×C4C2×D24411yescharacteristic
502C22×C4C2×D24411yescharacteristic
503C22×C4C22×Dic6112yes—
504C22×C4C22×Dic6112yes—
505C22×C4C23×D6111yescharacteristic
506M16—44no—
507C2×C8—21no—
508C2×C8—21no—
509C2×C8—21no—
510C2×C8—21no—
511C2×C8—21no—
512C2×C8—21no—
513C2×C8—21no—
514C2×C8—21no—
515C2×C8—44no—
516C2×C8C22×Dic6112yes—
517C2×C8C22×Dic6112yes—
518C2×C8C22×Dic6112yes—
519C2×C8C22×Dic6112yes—
520C4⋊C4—612no—
521C4⋊C4—612no—
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—1221no—
535C4⋊C4—1221no—
536C4⋊C4—4881no—
537C4⋊C4—2442no—
538C4⋊C4—2442no—
539C4⋊C4—2442no—
540C4⋊C4—2442no—
541C4⋊C4C4⋊Dic6114yes—
542C22⋊C4—4881no—
543C22⋊C4—2442no—
544C22⋊C4—2442no—
545C22⋊C4—2442no—
546C22⋊C4—2442no—
547C22⋊C4C4⋊Dic6114yes—
548C22⋊C4C4⋊Dic6114yes—
549C42—4881no—
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—
564C23C2×C4⋊Dic6112yes—
565C23C2×C4⋊Dic6112yes—
566C23#1451980512yes—
567C23#1451981012yes—
568C23C22×D24411yescharacteristic
569D4—28no—
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—4884no—
590C2×C4—4884no—
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×C4—2441no—
612C2×C4—2441no—
613C2×C4C2×C4⋊Dic6112yes—
614C2×C4C2×C4⋊Dic6112yes—
615C2×C4C2×C4⋊Dic6112yes—
616C2×C4C2×C4⋊Dic6112yes—
617C2×C4C23×Dic6111yescharacteristic
618C2×C4C22×Dic12211yescharacteristic
619C2×C4#41×D6111yescharacteristic
620C2×C4#41×D6111yescharacteristic
621C2×C4#1451982211yescharacteristic
622C2×C4#1451982211yescharacteristic
623C8—22no—
624C8—22no—
625C8—22no—
626C8—22no—
627C22—22no—
628C22—22no—
629C22—22no—
630C22—22no—
631C22—22no—
632C22—22no—
633C22—22no—
634C22—22no—
635C22—22no—
636C22—41no—
637C22—41no—
638C22—41no—
639C22—41no—
640C22#1683980414yes—
641C22C22×C4⋊Dic6111yescharacteristic
642C22#1684040711yescharacteristic
643C22#1684040711yescharacteristic
644C22C2×#1451980511yescharacteristic
645C22C2×#1451981011yescharacteristic
646C22#1684057411yescharacteristic
647C22#1684057411yescharacteristic
648C4—22no—
649C4—22no—
650C4—22no—
651C4—22no—
652C4—4881no—
653C4—4881no—
654C4—4881no—
655C4—4881no—
656C4—4881no—
657C4—4881no—
658C4—2442no—
659C4—2442no—
660C4#41×Dic6111yescharacteristic
661C4#1684023711yescharacteristic
662C4#1684047111yescharacteristic
663C4#1684047111yescharacteristic
664C2—24no—
665C2—42no—
666C2#2144872911yescharacteristic
667C2C2×#1683980411yescharacteristic
668C2#2145441411yescharacteristic
669C2#2145778211yescharacteristic
670C2#2145784211yescharacteristic
671C2#2145793211yescharacteristic
672C2#2145799211yescharacteristic
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#22711
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
3. #21446589C2semidirect
4. #21446583C2semidirect
5. #21446020C2semidirect
6. #21446014C2semidirect
7. #21446014C2semidirect
8. #21446009C2semidirect
9. #21445953C2semidirect
10. #21445852C2semidirect
11. #21445844C2semidirect
12. #21445716C2semidirect
13. #21445539C2semidirect
14. C2×#16839525C2semidirect
55. C61×#435C4semidirect
112. C2×M16×C61C2×C4semidirect
115. C22×C8×C61C2×C4semidirect
126. C4⋊C8×C61C2×C4semidirect
127. C22⋊C8×C61C2×C4semidirect
128. C22⋊C8×C61C2×C4semidirect
129. #97×C61C2×C4semidirect
360. #435Dic61semidirect
396. C61#22711semidirect
405. C2×M16C2×Dic61semidirect
408. C22×C8C2×Dic61semidirect
455. C4⋊C8C2×Dic61semidirect
456. C22⋊C8C2×Dic61semidirect
457. C22⋊C8C2×Dic61semidirect
458. #97C2×Dic61semidirect

Maximal subgroups

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

subgroupindex
#214487482
D4×C4⋊Dic612
#214465892
#214465832
#214460202
#214460142
#214460092
#214459532
#214458522
#214458442
#214457162
#214455392
C2×#168395252
C2×C61×#4352
#2271161