Finite Group Databasebeta

← #29696496

Subgroups — #29696496

Order 15616.

1262 conjugacy classes of subgroups.

The subgroup lattice has 726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459377C211yesmaximal, characteristic
2D4×#11758194C211yesmaximal, characteristic, complemented
3#21446796C211yesmaximal, characteristic, complemented
4#21446762C211yesmaximal, characteristic, complemented
5#21446262C212yesmaximal, complemented
6#21446119C212yesmaximal, complemented
7#21445919C212yesmaximal, complemented
8#21445840C211yesmaximal, characteristic, complemented
9C4×#14519705C211yesmaximal, characteristic, complemented
10C2×#16839522C212yesmaximal, complemented
11C42×D4×C61C211yesmaximal, characteristic, complemented
12C22×#11758194C2212yes—
13#16840482C411yescharacteristic, complemented
14#16840477C411yescharacteristic, complemented
15#16840469C411yescharacteristic, complemented
16#16840458C412yescomplemented
17#16840452C412yescomplemented
18#16840447—21no—
19#16840438—22no—
20#16840416C411yescharacteristic, complemented
21#16840406—21no—
22#16840319C2211yescharacteristic
23#16840294—21no—
24#16840292—22no—
25#16840273C2212yes—
26C4×#11758222C2211yescharacteristic
27C4×#11758224—21no—
28C2×#14519736C2212yes—
29#16839840—21no—
30#16839834—22no—
31D4×#92418—21no—
32#16839786C2211yescharacteristic
33C2×#14519705C2211yescharacteristic
34C2×#14519705C2211yescharacteristic
35C2×#14519705C2212yes—
36#16839726C2212yes—
37C4×#11758194C2211yescharacteristic
38#16839522C2211yescharacteristic
39#16839522C2212yes—
40#16839522C2212yes—
41#16839522C2212yes—
42#16839522C2212yes—
43#16839522C2212yes—
44#16839522C2211yescharacteristic
45C2×C4×D4×C61—21no—
46C2×C4×D4×C61C2211yescharacteristic
47C22×C42×C61C2212yes—
48C4×C4⋊C4×C61—21no—
49C4×C4⋊C4×C61C2211yescharacteristic
50C4×C22⋊C4×C61—22no—
51C4×C22⋊C4×C61C2212yes—
52C43×C61C2211yescharacteristic
53C2×#11758222C2311yescharacteristic
54C2×#11758224—21no—
55C2×#11758194—22no—
56C2×#11758194—24no—
57C2×#11758194—42no—
58C2×#11758194C2311yescharacteristic
59C2×#11758194C2312yes—
60C2×#11758194C2311yescharacteristic
61C22×#92418—22no—
62#14519777C2×C411yescharacteristic, complemented
63#14519777C2×C411yescharacteristic, complemented
64#14519772—22no—
65#14519770—22no—
66#14519770—22no—
67#14519769C2×C412yescomplemented
68#14519768—21no—
69#14519767—22no—
70#14519764—21no—
71#14519763—22no—
72#14519761—22no—
73#14519760—22no—
74#14519759—22no—
75#14519758—22no—
76#14519757—21no—
77#14519756—21no—
78#14519756—21no—
79#14519756C2×C412yescomplemented
80#14519756C2×C412yescomplemented
81#14519754—22no—
82#14519751C2×C412yescomplemented
83#14519751C2×C412yescomplemented
84#14519749—22no—
85#14519748—21no—
86#14519746—22no—
87C4×Dic122—21no—
88C4×Dic122—21no—
89C4×Dic122C2×C411yescharacteristic, complemented
90C4×Dic122C2×C411yescharacteristic, complemented
91#14519742—21no—
92C4×D244C2×C411yescharacteristic, complemented
93C4×D244C2×C411yescharacteristic, complemented
94D4×Dic61—21no—
95C4×C22⋊D61—22no—
96C4×C22⋊D61—21no—
97C4×C22⋊D61—21no—
98C4×C22⋊D61—22no—
99#14519737—22no—
100#14519736—22no—
101#14519736—22no—
102#14519736C2×C412yescomplemented
103#14519736C2×C412yescomplemented
104#14519736C2311yescharacteristic
105#14519736C2312yes—
106#14519735—21no—
107#14519734—21no—
108#14519733—22no—
109C2×C4⋊Dic61C2×C412yescomplemented
110C2×C4⋊Dic61C2×C412yescomplemented
111C2×C22⋊Dic61—22no—
112C2×C4×Dic61—22no—
113C42×D61—21no—
114C4⋊#92418—21no—
115C4⋊#92418—21no—
116#14519705—22no—
117#14519705—22no—
118#14519705—42no—
119C22⋊#92418—22no—
120C22⋊#92418—22no—
121#14519688—21no—
122C4×#92418—21no—
123C22×D4×C61D411yescharacteristic
124C23×C4×C61—22no—
125C23×C4×C61C2312yes—
126C4×D4×C61—28no—
127C4×D4×C61C2×C412yes—
128C4×D4×C61C2×C411yescharacteristic
129C4×D4×C61C2×C411yescharacteristic
130C4×D4×C61D411yescharacteristic
131C4×D4×C61D412yes—
132C4×D4×C61D411yescharacteristic
133C2×C4⋊C4×C61—21no—
134C2×C4⋊C4×C61D411yescharacteristic
135C2×C22⋊C4×C61—22no—
136C2×C22⋊C4×C61D412yes—
137C2×C42×C61—21no—
138C2×C42×C61—24no—
139C2×C42×C61—21no—
140C2×C42×C61—22no—
141C2×C42×C61—42no—
142C2×C42×C61C2311yescharacteristic
143C2×C42×C61C2312yes—
144C2×C42×C61C2311yescharacteristic
145C2×C42×C61C2311yescharacteristic
146#95×C61—21no—
147#95×C61—22no—
148C24×C61C2×D412yes—
149C2×D4×C61—24no—
150C2×D4×C61C22⋊C411yescharacteristic
151C2×D4×C61C22⋊C412yes—
152C2×D4×C61C22⋊C411yescharacteristic
153C22×C4×C61—21no—
154C22×C4×C61—22no—
155C22×C4×C61—22no—
156C22×C4×C61—22no—
157C22×C4×C61—22no—
158C22×C4×C61—28no—
159C22×C4×C61—21no—
160C22×C4×C61—22no—
161C22×C4×C61—44no—
162C22×C4×C61—44no—
163C22×C4×C61C22×C412yes—
164C22×C4×C61C22×C412yes—
165C22×C4×C61C2×D412yes—
166C22×C4×C61C2×D411yescharacteristic
167C22×C4×C61C2×D412yes—
168C22×C4×C61C2×D412yes—
169C22×C4×C61C2×D411yescharacteristic
170C22×C4×C61C2411yescharacteristic
171C2×C22⋊D61—22no—
172C2×C22⋊D61—21no—
173C2×C22⋊D61—22no—
174C22×Dic61—22no—
175C22×Dic61—22no—
176#11758224—44no—
177#11758222—21no—
178#11758222—21no—
179#11758222—21no—
180#11758222—21no—
181C2×D244C22×C411yescharacteristic
182C2×C4×D61—21no—
183C2×C4×D61—21no—
184C2×C4×D61—21no—
185C2×Dic122—21no—
186C2×Dic122—21no—
187C2×Dic122C22×C411yescharacteristic
188C4⋊C4×C61—24no—
189C4⋊C4×C61C22⋊C411yescharacteristic
190C4⋊C4×C61C22⋊C411yescharacteristic
191C4⋊C4×C61C22⋊C412yes—
192C22⋊C4×C61—28no—
193C22⋊C4×C61C22⋊C412yes—
194C22⋊C4×C61C22⋊C412yes—
195C22⋊C4×C61C22⋊C412yes—
196C22⋊C4×C61C22⋊C412yes—
197C42×C61—24no—
198C42×C61—21no—
199C42×C61—22no—
200C42×C61—21no—
201C42×C61—22no—
202C42×C61—21no—
203C42×C61—44no—
204C42×C61—42no—
205C42×C61C22×C411yescharacteristic
206C42×C61C22×C411yescharacteristic
207C42×C61C2×D411yescharacteristic
208C42×C61C2×D411yescharacteristic
209C42×C61#4112yescomplemented
210C22⋊Dic61—22no—
211C22⋊Dic61—22no—
212C22⋊Dic61—22no—
213C22⋊Dic61—22no—
214C22⋊Dic61—21no—
215C22⋊Dic61—22no—
216#11758198—21no—
217#11758198—21no—
218#11758198—22no—
219#11758198—22no—
220C4⋊Dic61—22no—
221C4⋊Dic61—22no—
222C4⋊Dic61—21no—
223C4⋊Dic61—21no—
224C4⋊Dic61C22×C411yescharacteristic
225C4⋊Dic61C22×C411yescharacteristic
226C4⋊Dic61C22×C412yes—
227C4⋊Dic61C22×C412yes—
228#11758196—22no—
229#11758196—22no—
230#11758196—21no—
231#11758196—21no—
232#11758196—22no—
233#11758196—22no—
234C4×Dic61—21no—
235C4×Dic61—21no—
236C4×Dic61—22no—
237C4×Dic61—22no—
238C4×Dic61—21no—
239C4×Dic61—22no—
240#11758194—21no—
241#11758194—21no—
242#11758194—22no—
243#11758194—22no—
244#11758194—21no—
245#11758194—44no—
246#11758194#4112yescomplemented
247C2×#92418—21no—
248C2×#92418—21no—
249C2×#92418—22no—
250C2×#92418—44no—
251C23×C61—22no—
252C23×C61—22no—
253C23×C61—24no—
254C23×C61—42no—
255C23×C61C2×C22⋊C412yes—
256C23×C61C2×C22⋊C412yes—
257C23×C61C22×D411yescharacteristic
258C22×D61—21no—
259D4×C61—24no—
260D4×C61—22no—
261D4×C61#10414yescomplemented
262C2×C4×C61—22no—
263C2×C4×C61—22no—
264C2×C4×C61—22no—
265C2×C4×C61—22no—
266C2×C4×C61—22no—
267C2×C4×C61—22no—
268C2×C4×C61—22no—
269C2×C4×C61—22no—
270C2×C4×C61—22no—
271C2×C4×C61—22no—
272C2×C4×C61—22no—
273C2×C4×C61—22no—
274C2×C4×C61—22no—
275C2×C4×C61—22no—
276C2×C4×C61—22no—
277C2×C4×C61—24no—
278C2×C4×C61—41no—
279C2×C4×C61—416no—
280C2×C4×C61—41no—
281C2×C4×C61—42no—
282C2×C4×C61—42no—
283C2×C4×C61—41no—
284C2×C4×C61C2×C22⋊C412yes—
285C2×C4×C61C2×C22⋊C411yescharacteristic
286C2×C4×C61C2×C22⋊C411yescharacteristic
287C2×C4×C61C2×C22⋊C412yes—
288C2×C4×C61C2×C22⋊C411yescharacteristic
289C2×C4×C61C2×C22⋊C411yescharacteristic
290C2×C4×C61C23×C411yescharacteristic
291C2×C4×C61C22×D411yescharacteristic
292C2×C4×C61C2×#4111yescharacteristic
293C2×C4×C61C2×#4111yescharacteristic
294C2×C4×C61H(5,𝔽2)11yescharacteristic
295C2×C4×C612−1+411yescharacteristic
296C22⋊D61—41no—
297C22⋊D61—41no—
298C22⋊D61—44no—
299C22⋊D61—82no—
300C2×Dic61—21no—
301C2×Dic61—21no—
302C2×Dic61—21no—
303C2×Dic61—22no—
304C2×Dic61—22no—
305C2×Dic61—44no—
306C2×Dic61—82no—
307D244—21no—
308D244—21no—
309C4×D61—41no—
310C4×D61—41no—
311C4×D61—42no—
312C4×D61—81no—
313Dic122—21no—
314Dic122—21no—
315Dic122—42no—
316Dic122—81no—
317#92418—22no—
318#92418—42no—
319#92418—41no—
320#22505—611nomaximal, Sylow
321C22×C61—22no—
322C22×C61—21no—
323C22×C61—22no—
324C22×C61—21no—
325C22×C61—22no—
326C22×C61—22no—
327C22×C61—22no—
328C22×C61—44no—
329C22×C61—44no—
330C22×C61C2×#10414yes—
331C22×C61C22×C22⋊C411yescharacteristic
332C22×C61#54611yescharacteristic
333C22×C61#54711yescharacteristic
334C2×D61—41no—
335C2×D61—41no—
336C2×D61—41no—
337C4×C61—24no—
338C4×C61—22no—
339C4×C61—22no—
340C4×C61—21no—
341C4×C61—21no—
342C4×C61—21no—
343C4×C61—42no—
344C4×C61—44no—
345C4×C61C2×#10412yes—
346C4×C61C4×#4111yescharacteristic
347C4×C61#52011yescharacteristic
348C4×C61#54611yescharacteristic
349C4×C61#54711yescharacteristic
350Dic61—41no—
351Dic61—42no—
352Dic61—41no—
353Dic61—42no—
354Dic61—41no—
355#3475—611no—
356D4×M16—611no—
357C42×D4D6111yescharacteristic, complemented
358#1994—611no—
359#1986—611no—
360#1896—612no—
361#1871—612no—
362#1826—612no—
363#1806—611no—
364C4×#104—611no—
365C2×#339—612no—
366C2×C61—21no—
367C2×C61—21no—
368C2×C61—24no—
369C2×C61—42no—
370C2×C61#233911yescharacteristic
371C2×C61C22×#10411yescharacteristic
372C2×C61#290111yescharacteristic
373D61—81no—
374C22×M16—612no—
375#556—611no—
376#555—611no—
377#554—611no—
378#553—612no—
379#552—612no—
380#552—1221no—
381#551—1222no—
382#547—611no—
383#546—1221no—
384#533—611no—
385#529—1222no—
386#529—1221no—
387#525—612no—
388C4×#41—611no—
389C4×#41—1221no—
390C2×C4×D4—21no—
391C2×C4×D4C2×D6111yescharacteristic
392C2×#117—612no—
393C22×C42C2×D6112yes—
394#436—1221no—
395#435—1222no—
396C8×D4—1221no—
397#423—611no—
398C2×#104—611no—
399C2×#104—611no—
400C2×#104—612no—
401#407—612no—
402C4×M16—611no—
403C4×C4⋊C4—21no—
404C4×C4⋊C4C2×D6111yescharacteristic
405C4×C22⋊C4—22no—
406C4×C22⋊C4C2×D6112yes—
407C43C2×D6111yescharacteristic
408#339—612no—
409#339—611no—
410#339—612no—
411#339—612no—
412#339—612no—
413#339—612no—
414#339—611no—
415C61#2250511yescharacteristic, complemented, Sylow
416C2×#41—611no—
417C2×#41—1221no—
418C22×D4C22⋊D6111yescharacteristic
419C23×C4—22no—
420C23×C4C22×D6112yes—
421C2×M16—611no—
422C2×M16—612no—
423C2×M16—611no—
424C2×M16—1222no—
425C2×M16—1224no—
426C2×M16—2442no—
427C22×C8—1222no—
428C4⋊Q8—611no—
429C4⋊Q8—611no—
430#126—1222no—
431#126—1222no—
432#126—1222no—
433#125—612no—
434#125—1222no—
435#125—1221no—
436#124—1221no—
437#124—1222no—
438#123—1222no—
439#123—1222no—
440#123—1222no—
441#123—1222no—
442C22⋊Q8—612no—
443C22⋊Q8—612no—
444C22⋊Q8—1221no—
445C22⋊Q8—1221no—
446C22⋊Q8—1221no—
447C22⋊Q8—1222no—
448#121—612no—
449#121—612no—
450#121—1222no—
451#121—1221no—
452#120—1222no—
453C4×Q8—611no—
454C4×Q8—611no—
455C4×Q8—1221no—
456C4×Q8—1221no—
457C4×Q8—1221no—
458C4×D4—28no—
459C4×D4—611no—
460C4×D4—611no—
461C4×D4—1221no—
462C4×D4—1222no—
463C4×D4—1222no—
464C4×D4—1221no—
465C4×D4—1221no—
466C4×D4—1222no—
467C4×D4C4×D6111yescharacteristic
468C4×D4C4×D6112yes—
469C4×D4C4×D6111yescharacteristic
470C4×D4D24411yescharacteristic
471C4×D4D24412yes—
472C4×D4D24411yescharacteristic
473#117—612no—
474#117—612no—
475#117—611no—
476#117—612no—
477#117—1222no—
478#117—1222no—
479#117—1221no—
480#117—1222no—
481#117—1221no—
482C2×C4⋊C4—21no—
483C2×C4⋊C4—612no—
484C2×C4⋊C4—612no—
485C2×C4⋊C4C22⋊D6111yescharacteristic
486C2×C22⋊C4—22no—
487C2×C22⋊C4—1222no—
488C2×C22⋊C4C22⋊D6112yes—
489C2×C42—21no—
490C2×C42—24no—
491C2×C42—21no—
492C2×C42—22no—
493C2×C42—42no—
494C2×C42—1222no—
495C2×C42—1221no—
496C2×C42C22×D6111yescharacteristic
497C2×C42C22×D6112yes—
498C2×C42C22×D6111yescharacteristic
499C2×C42C22×D6111yescharacteristic
500C4⋊C8—1221no—
501C4⋊C8—1221no—
502#104—1222no—
503#104—1222no—
504#104—2442no—
505C22⋊C8—1222no—
506C22⋊C8—1222no—
507#97—1221no—
508C4×C8—1221no—
509#95—21no—
510#95—22no—
511C24C2×C22⋊D6112yes—
512#41—1221no—
513#41—1221no—
514#41—1221no—
515#41—1221no—
516#41—2444no—
517C2×Q8—611no—
518C2×Q8—1221no—
519C2×Q8—1221no—
520C2×D4—24no—
521C2×D4—611no—
522C2×D4—1222no—
523C2×D4—1221no—
524C2×D4—1222no—
525C2×D4#1175819812yes—
526C2×D4#1175819811yescharacteristic
527C2×D4#1175819811yescharacteristic
528C22×C4—21no—
529C22×C4—22no—
530C22×C4—22no—
531C22×C4—22no—
532C22×C4—22no—
533C22×C4—28no—
534C22×C4—21no—
535C22×C4—22no—
536C22×C4—44no—
537C22×C4—44no—
538C22×C4—1222no—
539C22×C4—1222no—
540C22×C4—1221no—
541C22×C4—1221no—
542C22×C4—1221no—
543C22×C4C2×C4×D6112yes—
544C22×C4C2×C4×D6112yes—
545C22×C4C2×D24412yes—
546C22×C4C2×D24412yes—
547C22×C4C2×C22⋊D6112yes—
548C22×C4C2×C22⋊D6111yescharacteristic
549C22×C4C2×C22⋊D6111yescharacteristic
550C22×C4C23×D6111yescharacteristic
551M16—612no—
552M16—1221no—
553M16—1222no—
554M16—1221no—
555M16—1222no—
556M16—1221no—
557M16—2444no—
558C2×C8—1221no—
559C2×C8—1221no—
560C2×C8—1222no—
561C2×C8—2444no—
562C4⋊C4—24no—
563C4⋊C4—611no—
564C4⋊C4—611no—
565C4⋊C4—612no—
566C4⋊C4—612no—
567C4⋊C4—1222no—
568C4⋊C4—1222no—
569C4⋊C4—1221no—
570C4⋊C4—1221no—
571C4⋊C4—1222no—
572C4⋊C4—1222no—
573C4⋊C4—1222no—
574C4⋊C4—1222no—
575C4⋊C4—1221no—
576C4⋊C4—1221no—
577C4⋊C4#1175819811yescharacteristic
578C4⋊C4#1175819811yescharacteristic
579C4⋊C4#1175819812yes—
580C22⋊C4—28no—
581C22⋊C4—1221no—
582C22⋊C4—1222no—
583C22⋊C4—1222no—
584C22⋊C4—1222no—
585C22⋊C4—1222no—
586C22⋊C4—1222no—
587C22⋊C4—1221no—
588C22⋊C4—1221no—
589C22⋊C4—1222no—
590C22⋊C4—1222no—
591C22⋊C4#1175819812yes—
592C22⋊C4#1175819812yes—
593C22⋊C4#1175819812yes—
594C22⋊C4#1175819812yes—
595C42—24no—
596C42—21no—
597C42—21no—
598C42—22no—
599C42—22no—
600C42—21no—
601C42—44no—
602C42—42no—
603C42—1221no—
604C42—1222no—
605C42—1222no—
606C42—1222no—
607C42—1221no—
608C42—1221no—
609C42C2×C4×D6111yescharacteristic
610C42C2×C4×D6111yescharacteristic
611C42C2×D24411yescharacteristic
612C42C2×D24411yescharacteristic
613C42#1175822412yescomplemented
614C23—24no—
615C23—22no—
616C23—22no—
617C23—42no—
618C23—1221no—
619C23C2×#1175819812yes—
620C23C2×#1175819812yes—
621C23C22×C22⋊D6111yescharacteristic
622Q8—1221no—
623Q8—1221no—
624Q8—4881no—
625Q8—2442no—
626D4—24no—
627D4—22no—
628D4—1221no—
629D4—1221no—
630D4—4882no—
631D4—2444no—
632D4—2441no—
633D4—2441no—
634D4#1451970514yescomplemented
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—22no—
650C2×C4—24no—
651C2×C4—41no—
652C2×C4—416no—
653C2×C4—41no—
654C2×C4—42no—
655C2×C4—42no—
656C2×C4—41no—
657C2×C4—1221no—
658C2×C4—1221no—
659C2×C4—1222no—
660C2×C4—1222no—
661C2×C4—1221no—
662C2×C4—4881no—
663C2×C4—4882no—
664C2×C4—2444no—
665C2×C4—2442no—
666C2×C4—2441no—
667C2×C4—2441no—
668C2×C4C2×#1175819812yes—
669C2×C4C2×#1175819811yescharacteristic
670C2×C4C2×#1175819811yescharacteristic
671C2×C4C2×#1175819811yescharacteristic
672C2×C4C2×#1175819812yes—
673C2×C4C2×#1175819811yescharacteristic
674C2×C4C22×C4×D6111yescharacteristic
675C2×C4C22×D24411yescharacteristic
676C2×C4#41×D6111yescharacteristic
677C2×C4C2×#1175822411yescharacteristic
678C2×C4#1451982211yescharacteristic
679C2×C4#1451982411yescharacteristic
680C8—1222no—
681C8—2442no—
682C8—2441no—
683C22—21no—
684C22—21no—
685C22—22no—
686C22—22no—
687C22—22no—
688C22—22no—
689C22—22no—
690C22—44no—
691C22—44no—
692C22—2441no—
693C22—2441no—
694C22—2441no—
695C22C2×#1451970514yes—
696C22C22×#1175819811yescharacteristic
697C22#1684040611yescharacteristic
698C22#1684041111yescharacteristic
699C4—24no—
700C4—21no—
701C4—21no—
702C4—21no—
703C4—22no—
704C4—22no—
705C4—42no—
706C4—44no—
707C4—2441no—
708C4—2442no—
709C4—2441no—
710C4—2442no—
711C4—2441no—
712C4C2×#1451970512yes—
713C4C4×#1175822411yescharacteristic
714C4#1684024111yescharacteristic
715C4#1684040711yescharacteristic
716C4#1684041611yescharacteristic
717C2—21no—
718C2—21no—
719C2—24no—
720C2—42no—
721C2—4881no—
722C2#2144864411yescharacteristic
723C2C22×#1451970511yescharacteristic
724C2#2145436711yescharacteristic
subgroupG/H
centerC2×C4C22×D244
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC42×D4×C61C2
socleC22×C61C22×C22⋊C4
prime radical#21459377C2
cosocleC22×C4×C61C24
hypercenterC42×D4D61
hypocenterC61#22505
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C2×C4 ◁ C2×C4×D4 ◁ C42×D4

Complements

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

NH ≅ G/Ntype
2. D4×#11758194C2semidirect
3. #21446796C2semidirect
4. #21446762C2semidirect
5. #21446262C2semidirect
6. #21446119C2semidirect
7. #21445919C2semidirect
8. #21445840C2semidirect
9. C4×#14519705C2semidirect
10. C2×#16839522C2semidirect
11. C42×D4×C61C2semidirect
13. #16840482C4semidirect
14. #16840477C4semidirect
15. #16840469C4semidirect
16. #16840458C4semidirect
17. #16840452C4semidirect
20. #16840416C4semidirect
62. #14519777C2×C4semidirect
63. #14519777C2×C4semidirect
67. #14519769C2×C4semidirect
79. #14519756C2×C4semidirect
80. #14519756C2×C4semidirect
82. #14519751C2×C4semidirect
83. #14519751C2×C4semidirect
89. C4×Dic122C2×C4semidirect
90. C4×Dic122C2×C4semidirect
92. C4×D244C2×C4semidirect
93. C4×D244C2×C4semidirect
102. #14519736C2×C4semidirect
103. #14519736C2×C4semidirect
109. C2×C4⋊Dic61C2×C4semidirect
110. C2×C4⋊Dic61C2×C4semidirect
209. C42×C61#41semidirect
246. #11758194#41semidirect
261. D4×C61#104semidirect
357. C42×D4D61semidirect
415. C61#22505semidirect
613. C42#11758224semidirect
634. D4#14519705semidirect

Maximal subgroups

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

subgroupindex
#214593772
D4×#117581942
#214467962
#214467622
#214462622
#214461192
#214459192
#214458402
C4×#145197052
C2×#168395222
C42×D4×C612
#2250561