Finite Group Databasebeta

← #29696497

Subgroups — #29696497

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#21459383C211yesmaximal, characteristic
2M16×D244C211yesmaximal, characteristic, complemented
3C42×D244C211yesmaximal, characteristic, complemented
4#21446796C211yesmaximal, characteristic, complemented
5#21446763C211yesmaximal, characteristic, complemented
6#21446259C212yesmaximal, complemented
7#21446118C212yesmaximal, complemented
8#21445917C212yesmaximal, complemented
9#21445839C211yesmaximal, characteristic, complemented
10#339×D61C212yesmaximal, complemented
11C4×#104×C61C211yesmaximal, characteristic, complemented
12C2×M16×D61C2212yes—
13#16840485C411yescharacteristic, complemented
14#16840477C411yescharacteristic, complemented
15#16840472C411yescharacteristic, complemented
16#16840462C412yescomplemented
17#16840453C412yescomplemented
18#16840452—21no—
19#16840441—22no—
20#16840417C411yescharacteristic, complemented
21#16840408—21no—
22#16840319C2211yescharacteristic
23#16840296—21no—
24#16840290—22no—
25#16840269C2212yes—
26C4×#11758222—21no—
27C2×C4×D244—21no—
28C2×C4×D244C2211yescharacteristic
29#117×D61C2212yes—
30C2×C42×D61C2212yes—
31#16839841—21no—
32#16839835—22no—
33C8×D244—21no—
34#16839786C2211yescharacteristic
35C2×#14519704C2212yes—
36#16839725C2212yes—
37C4×C4⋊Dic61—21no—
38C4×C4⋊Dic61C2211yescharacteristic
39C4×#11758198—22no—
40C4×#11758198C2212yes—
41#16839523C2212yes—
42#16839523C2212yes—
43#16839522C2212yes—
44#16839522C2212yes—
45#16839521C2212yes—
46C4×#41×C61C2211yescharacteristic
47C2×#104×C61C2211yescharacteristic
48C2×#104×C61C2211yescharacteristic
49C4×M16×C61C2211yescharacteristic
50C43×C61C2211yescharacteristic
51C61×#339C2211yescharacteristic
52C61×#339C2211yescharacteristic
53C2×#11758222—21no—
54C22×D244D411yescharacteristic
55C22×C4×D61—22no—
56C22×C4×D61C2312yes—
57C2×#11758194C2312yes—
58C2×#11758189—22no—
59M16×D61—24no—
60M16×D61—42no—
61C2×C8×D61—22no—
62#14519777C2×C411yescharacteristic, complemented
63#14519777C2×C411yescharacteristic, complemented
64#14519772—22no—
65#14519771—22no—
66#14519770—22no—
67#14519769—21no—
68#14519769C2×C412yescomplemented
69#14519767—22no—
70#14519765—21no—
71#14519763—22no—
72#14519762—22no—
73#14519760—22no—
74#14519759—22no—
75#14519758—22no—
76#14519756—21no—
77#14519756—21no—
78#14519756—21no—
79#14519755—22no—
80#14519753C2×C412yescomplemented
81#14519753C2×C412yescomplemented
82#14519751—21no—
83#14519750—22no—
84#14519748C2×C412yescomplemented
85#14519748C2×C412yescomplemented
86#14519745—22no—
87C4×Dic122—21no—
88C4×Dic122—21no—
89C4×Dic122—21no—
90C4×D244—28no—
91C4×D244—21no—
92C4×D244C2×C412yes—
93C4×D244C2×C411yescharacteristic
94C4×D244C2×C411yescharacteristic
95C4×D244D411yescharacteristic
96C4×D244D412yes—
97C4×D244D411yescharacteristic
98C4×C22⋊D61—22no—
99C4×C22⋊D61—22no—
100C4×C22⋊D61—22no—
101#14519736—21no—
102#14519736C2312yes—
103#14519735C2×C412yescomplemented
104#14519735C2×C412yescomplemented
105#14519734—22no—
106#14519734—22no—
107#14519733—22no—
108C2×C4⋊Dic61—21no—
109C2×C4⋊Dic61D411yescharacteristic
110C4⋊C4×D61C2×C412yescomplemented
111C4⋊C4×D61C2×C412yescomplemented
112C2×#11758198—22no—
113C2×#11758198D412yes—
114C22⋊C4×D61—22no—
115C2×C4×Dic61—22no—
116C2×C4×Dic61C2312yes—
117C42×D61—22no—
118C42×D61—24no—
119C42×D61—42no—
120C4⋊#92418—21no—
121C4⋊#92418—21no—
122#14519704—42no—
123#14519689—22no—
124#14519689—22no—
125#14519684—21no—
126#14519684—22no—
127C2×#41×C61C2311yescharacteristic
128C2×M16×C61C2311yescharacteristic
129C2×M16×C61C2311yescharacteristic
130C4×Q8×C61C2×C411yescharacteristic, complemented
131C4×Q8×C61C2×C411yescharacteristic, complemented
132C4×D4×C61—21no—
133C4×D4×C61—21no—
134C4×D4×C61C2×C411yescharacteristic, complemented
135C4×D4×C61C2×C411yescharacteristic, complemented
136#117×C61—21no—
137#117×C61C2311yescharacteristic
138C2×C42×C61—21no—
139C2×C42×C61—21no—
140C2×C42×C61—21no—
141C2×C42×C61C2311yescharacteristic
142C2×C42×C61C2311yescharacteristic
143C2×C42×C61C2311yescharacteristic
144#104×C61—22no—
145#104×C61—22no—
146#97×C61—21no—
147C4×C8×C61—21no—
148C23×D61C2×D412yes—
149#41×C61—21no—
150#41×C61—21no—
151#41×C61—21no—
152#41×C61—21no—
153C2×Q8×C61C22×C411yescharacteristic
154C2×D4×C61—21no—
155C2×D4×C61C22×C411yescharacteristic
156C22×C4×C61—21no—
157C22×C4×C61—21no—
158C22×C4×C61—21no—
159C22×C4×C61—21no—
160C22×C4×C61—21no—
161C22×C4×C61C2×D411yescharacteristic
162C22×C4×C61C2×D411yescharacteristic
163C22×C4×C61C2411yescharacteristic
164C2×C22⋊D61—22no—
165C2×C22⋊D61—22no—
166C22×Dic61—22no—
167C22×Dic61C2×D412yes—
168#11758222—44no—
169C2×D244—24no—
170C2×D244C22⋊C412yes—
171C2×D244C22⋊C411yescharacteristic
172C2×D244C22⋊C411yescharacteristic
173C2×C4×D61—22no—
174C2×C4×D61—22no—
175C2×C4×D61—22no—
176C2×C4×D61—22no—
177C2×C4×D61—28no—
178C2×C4×D61—22no—
179C2×C4×D61—22no—
180C2×C4×D61—44no—
181C2×C4×D61—44no—
182C2×C4×D61C22×C412yes—
183C2×C4×D61C22×C412yes—
184C2×C4×D61C2×D412yes—
185C2×C4×D61C2×D412yes—
186C2×Dic122—21no—
187C2×Dic122—21no—
188M16×C61—21no—
189M16×C61—21no—
190M16×C61—21no—
191M16×C61#4112yescomplemented
192C2×C8×C61—21no—
193C2×C8×C61—21no—
194C4⋊C4×C61—21no—
195C4⋊C4×C61—21no—
196C4⋊C4×C61C22×C411yescharacteristic
197C4⋊C4×C61C22×C411yescharacteristic
198C22⋊C4×C61—21no—
199C22⋊C4×C61—21no—
200C22⋊C4×C61—21no—
201C42×C61—24no—
202C42×C61—21no—
203C42×C61—21no—
204C42×C61—21no—
205C42×C61—21no—
206C42×C61—21no—
207C42×C61—21no—
208C42×C61—42no—
209C42×C61C22×C411yescharacteristic
210C42×C61C22×C411yescharacteristic
211C42×C61C2×D411yescharacteristic
212C42×C61C2×D411yescharacteristic
213C42×C61#4112yescomplemented
214C22⋊Dic61—22no—
215C22⋊Dic61—22no—
216C22⋊Dic61—22no—
217#11758198—28no—
218#11758198—22no—
219#11758198—22no—
220#11758198—22no—
221#11758198—22no—
222#11758198C22⋊C412yes—
223#11758198C22⋊C412yes—
224#11758198C22⋊C412yes—
225#11758198C22⋊C412yes—
226C4⋊Dic61—24no—
227C4⋊Dic61—21no—
228C4⋊Dic61—21no—
229C4⋊Dic61C22⋊C411yescharacteristic
230C4⋊Dic61C22⋊C411yescharacteristic
231C4⋊Dic61C22⋊C412yes—
232C4⋊Dic61C22×C412yes—
233C4⋊Dic61C22×C412yes—
234#11758196—22no—
235#11758196—22no—
236#11758196—22no—
237#11758196—22no—
238#11758196—22no—
239#11758196—22no—
240C4×Dic61—22no—
241C4×Dic61—22no—
242C4×Dic61—22no—
243C4×Dic61—22no—
244C4×Dic61—22no—
245C4×Dic61—44no—
246#11758194—22no—
247#11758194—22no—
248C2×#92418—22no—
249#11758189—44no—
250C8×D61—44no—
251C23×C61—21no—
252C23×C61C22×D411yescharacteristic
253C22×D61—22no—
254C22×D61—22no—
255C22×D61—24no—
256C22×D61—42no—
257C22×D61C2×C22⋊C412yes—
258C22×D61C2×C22⋊C412yes—
259Q8×C61—21no—
260Q8×C61—21no—
261D4×C61—21no—
262D4×C61—21no—
263D4×C61—41no—
264D4×C61—41no—
265C2×C4×C61—22no—
266C2×C4×C61—22no—
267C2×C4×C61—22no—
268C2×C4×C61—22no—
269C2×C4×C61—22no—
270C2×C4×C61—21no—
271C2×C4×C61—21no—
272C2×C4×C61—21no—
273C2×C4×C61—41no—
274C2×C4×C61—41no—
275C2×C4×C61—41no—
276C2×C4×C61—41no—
277C2×C4×C61—41no—
278C2×C4×C61—42no—
279C2×C4×C61—81no—
280C2×C4×C61C2×C22⋊C411yescharacteristic
281C2×C4×C61C2×C22⋊C411yescharacteristic
282C2×C4×C61C2×C22⋊C411yescharacteristic
283C2×C4×C61C2×C22⋊C411yescharacteristic
284C2×C4×C61C23×C411yescharacteristic
285C2×C4×C61C22×D411yescharacteristic
286C2×C4×C61C2×#4111yescharacteristic
287C2×C4×C61C2×#4111yescharacteristic
288C2×C4×C61H(5,𝔽2)11yescharacteristic
289C2×C4×C612−1+411yescharacteristic
290C22⋊D61—44no—
291C22⋊D61—82no—
292C2×Dic61—22no—
293C2×Dic61—22no—
294C2×Dic61—24no—
295C2×Dic61—22no—
296C2×Dic61—22no—
297C2×Dic61—42no—
298C2×Dic61—42no—
299C2×Dic61C2×C22⋊C412yes—
300C2×Dic61C2×C22⋊C412yes—
301D244—24no—
302D244—22no—
303D244#10414yescomplemented
304C4×D61—22no—
305C4×D61—22no—
306C4×D61—22no—
307C4×D61—22no—
308C4×D61—22no—
309C4×D61—22no—
310C4×D61—22no—
311C4×D61—22no—
312C4×D61—416no—
313C4×D61—44no—
314C4×D61—82no—
315Dic122—42no—
316Dic122—81no—
317C8×C61—22no—
318C8×C61—41no—
319#92418—42no—
320#22505—611nomaximal, Sylow
321C22×C61—21no—
322C22×C61—21no—
323C22×C61—41no—
324C22×C61—41no—
325C22×C61—41no—
326C22×C61C22×C22⋊C411yescharacteristic
327C22×C61#54611yescharacteristic
328C22×C61#54711yescharacteristic
329C2×D61—22no—
330C2×D61—22no—
331C2×D61—22no—
332C2×D61—22no—
333C2×D61—22no—
334C2×D61—44no—
335C2×D61—44no—
336C2×D61C2×#10414yes—
337C4×C61—24no—
338C4×C61—21no—
339C4×C61—21no—
340C4×C61—21no—
341C4×C61—42no—
342C4×C61—41no—
343C4×C61—41no—
344C4×C61—41no—
345C4×C61C2×#10412yes—
346C4×C61C4×#4111yescharacteristic
347C4×C61#52011yescharacteristic
348C4×C61#54611yescharacteristic
349C4×C61#54711yescharacteristic
350Dic61—22no—
351Dic61—22no—
352Dic61—44no—
353Dic61—42no—
354Dic61—42no—
355#3475—611no—
356D4×M16—611no—
357C42×D4—611no—
358#1994—611no—
359#1986—611no—
360#1896—612no—
361#1871—612no—
362#1826—612no—
363#1806—611no—
364C4×#104D6111yescharacteristic, complemented
365C2×#339—612no—
366C2×C61—21no—
367C2×C61—21no—
368C2×C61—81no—
369C2×C61#233911yescharacteristic
370C2×C61C22×#10411yescharacteristic
371C2×C61#290111yescharacteristic
372D61—24no—
373D61—42no—
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—1221no—
386#529—1222no—
387#525—612no—
388C4×#41—1221no—
389C4×#41C2×D6111yescharacteristic
390C2×C4×D4—611no—
391C2×C4×D4—1221no—
392C2×#117—612no—
393C22×C42—612no—
394#436—1221no—
395#435—1222no—
396C8×D4—1221no—
397#423—611no—
398C2×#104—612no—
399C2×#104C2×D6111yescharacteristic
400C2×#104C2×D6111yescharacteristic
401#407—612no—
402C4×M16C2×D6111yescharacteristic
403C4×C4⋊C4—611no—
404C4×C4⋊C4—1221no—
405C4×C22⋊C4—612no—
406C4×C22⋊C4—1222no—
407C43C2×D6111yescharacteristic
408#339—612no—
409#339—612no—
410#339—612no—
411#339—612no—
412#339—612no—
413#339C2×D6111yescharacteristic
414#339C2×D6111yescharacteristic
415C61#2250511yescharacteristic, complemented, Sylow
416C2×#41—1221no—
417C2×#41C22×D6111yescharacteristic
418C22×D4—611no—
419C23×C4—612no—
420C23×C4—1222no—
421C2×M16—612no—
422C2×M16—1222no—
423C2×M16—1224no—
424C2×M16—2442no—
425C2×M16C22×D6111yescharacteristic
426C2×M16C22×D6111yescharacteristic
427C22×C8—1222no—
428C4⋊Q8—611no—
429C4⋊Q8—611no—
430#126—1222no—
431#126—1222no—
432#126—1222no—
433#125—612no—
434#125—1221no—
435#125—1222no—
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—1222no—
445C22⋊Q8—1221no—
446C22⋊Q8—1221no—
447C22⋊Q8—1221no—
448#121—612no—
449#121—612no—
450#121—1222no—
451#121—1221no—
452#120—1222no—
453C4×Q8—1221no—
454C4×Q8—1221no—
455C4×Q8—1221no—
456C4×Q8C4×D6111yescharacteristic, complemented
457C4×Q8C4×D6111yescharacteristic, complemented
458C4×D4—21no—
459C4×D4—21no—
460C4×D4—611no—
461C4×D4—612no—
462C4×D4—611no—
463C4×D4—611no—
464C4×D4—612no—
465C4×D4—611no—
466C4×D4—1221no—
467C4×D4—1228no—
468C4×D4—1222no—
469C4×D4—1222no—
470C4×D4—1222no—
471C4×D4C4×D6111yescharacteristic, complemented
472C4×D4C4×D6111yescharacteristic, complemented
473#117—21no—
474#117—612no—
475#117—612no—
476#117—612no—
477#117—1222no—
478#117—1222no—
479#117—1222no—
480#117—1221no—
481#117C22×D6111yescharacteristic
482C2×C4⋊C4—611no—
483C2×C4⋊C4—612no—
484C2×C4⋊C4—612no—
485C2×C4⋊C4—1221no—
486C2×C22⋊C4—612no—
487C2×C22⋊C4—1222no—
488C2×C22⋊C4—1222no—
489C2×C42—21no—
490C2×C42—21no—
491C2×C42—21no—
492C2×C42—612no—
493C2×C42—1222no—
494C2×C42—1224no—
495C2×C42—1222no—
496C2×C42—2442no—
497C2×C42C22×D6111yescharacteristic
498C2×C42C22×D6111yescharacteristic
499C2×C42C22×D6111yescharacteristic
500C4⋊C8—1221no—
501C4⋊C8—1221no—
502#104—22no—
503#104—22no—
504#104—2442no—
505C22⋊C8—1222no—
506C22⋊C8—1222no—
507#97—21no—
508C4×C8—21no—
509#95—1222no—
510#95—1221no—
511C24—612no—
512#41—21no—
513#41—21no—
514#41—21no—
515#41—21no—
516#41—2444no—
517C2×Q8—1221no—
518C2×Q8—1221no—
519C2×Q8C2×C4×D6111yescharacteristic
520C2×D4—21no—
521C2×D4—611no—
522C2×D4—612no—
523C2×D4—611no—
524C2×D4—1224no—
525C2×D4—1222no—
526C2×D4—1222no—
527C2×D4C2×C4×D6111yescharacteristic
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—21no—
531C22×C4—21no—
532C22×C4—21no—
533C22×C4—612no—
534C22×C4—612no—
535C22×C4—612no—
536C22×C4—612no—
537C22×C4—612no—
538C22×C4—1222no—
539C22×C4—1222no—
540C22×C4—1228no—
541C22×C4—1222no—
542C22×C4—1222no—
543C22×C4—1222no—
544C22×C4—1222no—
545C22×C4—1222no—
546C22×C4—2444no—
547C22×C4—2444no—
548C22×C4D4×D6111yescharacteristic
549C22×C4D4×D6111yescharacteristic
550C22×C4C23×D6111yescharacteristic
551M16—21no—
552M16—21no—
553M16—21no—
554M16—1222no—
555M16—1222no—
556M16—2444no—
557M16#1175822212yescomplemented
558C2×C8—21no—
559C2×C8—21no—
560C2×C8—1222no—
561C2×C8—2444no—
562C4⋊C4—21no—
563C4⋊C4—21no—
564C4⋊C4—611no—
565C4⋊C4—611no—
566C4⋊C4—612no—
567C4⋊C4—612no—
568C4⋊C4—612no—
569C4⋊C4—1222no—
570C4⋊C4—1222no—
571C4⋊C4—1222no—
572C4⋊C4—1222no—
573C4⋊C4—1224no—
574C4⋊C4—1222no—
575C4⋊C4—1222no—
576C4⋊C4—1221no—
577C4⋊C4—1221no—
578C4⋊C4C2×C4×D6111yescharacteristic
579C4⋊C4C2×C4×D6111yescharacteristic
580C22⋊C4—21no—
581C22⋊C4—21no—
582C22⋊C4—21no—
583C22⋊C4—612no—
584C22⋊C4—612no—
585C22⋊C4—612no—
586C22⋊C4—612no—
587C22⋊C4—1222no—
588C22⋊C4—1222no—
589C22⋊C4—1222no—
590C22⋊C4—1222no—
591C22⋊C4—1228no—
592C22⋊C4—1222no—
593C22⋊C4—1222no—
594C22⋊C4—1222no—
595C42—24no—
596C42—21no—
597C42—21no—
598C42—21no—
599C42—21no—
600C42—21no—
601C42—21no—
602C42—42no—
603C42—1222no—
604C42—1222no—
605C42—1222no—
606C42—1222no—
607C42—1222no—
608C42—2444no—
609C42C2×C4×D6111yescharacteristic
610C42C2×C4×D6111yescharacteristic
611C42#1175822212yescomplemented
612C42D4×D6111yescharacteristic
613C42D4×D6111yescharacteristic
614C23—21no—
615C23—612no—
616C23—612no—
617C23—1224no—
618C23—1222no—
619C23—1222no—
620C23—2442no—
621C23C2×D4×D6111yescharacteristic
622Q8—21no—
623Q8—21no—
624Q8—4881no—
625Q8—2442no—
626D4—21no—
627D4—21no—
628D4—41no—
629D4—41no—
630D4—614no—
631D4—1224no—
632D4—1222no—
633D4—4882no—
634D4—2444no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—42no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—81no—
650C2×C4—612no—
651C2×C4—612no—
652C2×C4—1222no—
653C2×C4—1222no—
654C2×C4—1222no—
655C2×C4—1222no—
656C2×C4—1222no—
657C2×C4—1222no—
658C2×C4—1222no—
659C2×C4—1222no—
660C2×C4—1222no—
661C2×C4—1222no—
662C2×C4—1224no—
663C2×C4—1222no—
664C2×C4—1222no—
665C2×C4—4882no—
666C2×C4—24416no—
667C2×C4—2444no—
668C2×C4—2442no—
669C2×C4—2442no—
670C2×C4C22⋊C4×D6111yescharacteristic
671C2×C4C22⋊C4×D6111yescharacteristic
672C2×C4C22⋊C4×D6111yescharacteristic
673C2×C4C22⋊C4×D6111yescharacteristic
674C2×C4C22×C4×D6111yescharacteristic
675C2×C4C2×D4×D6111yescharacteristic
676C2×C4C2×#1175822211yescharacteristic
677C2×C4C2×#1175822211yescharacteristic
678C2×C4#1451982311yescharacteristic
679C2×C4#1451982411yescharacteristic
680C8—22no—
681C8—41no—
682C8—2442no—
683C22—21no—
684C22—21no—
685C22—41no—
686C22—41no—
687C22—41no—
688C22—614no—
689C22—1222no—
690C22—1222no—
691C22—1222no—
692C22—1222no—
693C22—1222no—
694C22—2444no—
695C22—2444no—
696C22C2×C22⋊C4×D6111yescharacteristic
697C22#1684040811yescharacteristic
698C22#1684041711yescharacteristic
699C4—24no—
700C4—21no—
701C4—21no—
702C4—21no—
703C4—42no—
704C4—41no—
705C4—41no—
706C4—41no—
707C4—1222no—
708C4—1222no—
709C4—2444no—
710C4—2442no—
711C4—2442no—
712C4#104×D6112yes—
713C4C4×#1175822211yescharacteristic
714C4#1684024211yescharacteristic
715C4#1684040811yescharacteristic
716C4#1684041711yescharacteristic
717C2—21no—
718C2—21no—
719C2—81no—
720C2—1224no—
721C2—2442no—
722C2#2144865011yescharacteristic
723C2C2×#104×D6111yescharacteristic
724C2#2145436311yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC4×#104×C61C2
socleC22×C61C22×C22⋊C4
prime radical#21459383C2
cosocleC22×C4×C61C24
hypercenterC4×#104D61
hypocenterC61#22505
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C2×C4 ◁ C2×C42 ◁ C4×#104

Complements

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

NH ≅ G/Ntype
2. M16×D244C2semidirect
3. C42×D244C2semidirect
4. #21446796C2semidirect
5. #21446763C2semidirect
6. #21446259C2semidirect
7. #21446118C2semidirect
8. #21445917C2semidirect
9. #21445839C2semidirect
10. #339×D61C2semidirect
11. C4×#104×C61C2semidirect
13. #16840485C4semidirect
14. #16840477C4semidirect
15. #16840472C4semidirect
16. #16840462C4semidirect
17. #16840453C4semidirect
20. #16840417C4semidirect
62. #14519777C2×C4semidirect
63. #14519777C2×C4semidirect
68. #14519769C2×C4semidirect
80. #14519753C2×C4semidirect
81. #14519753C2×C4semidirect
84. #14519748C2×C4semidirect
85. #14519748C2×C4semidirect
103. #14519735C2×C4semidirect
104. #14519735C2×C4semidirect
110. C4⋊C4×D61C2×C4semidirect
111. C4⋊C4×D61C2×C4semidirect
130. C4×Q8×C61C2×C4semidirect
131. C4×Q8×C61C2×C4semidirect
134. C4×D4×C61C2×C4semidirect
135. C4×D4×C61C2×C4semidirect
191. M16×C61#41semidirect
213. C42×C61#41semidirect
303. D244#104semidirect
364. C4×#104D61semidirect
415. C61#22505semidirect
456. C4×Q8C4×D61semidirect
457. C4×Q8C4×D61semidirect
471. C4×D4C4×D61semidirect
472. C4×D4C4×D61semidirect
557. M16#11758222semidirect
611. C42#11758222semidirect

Maximal subgroups

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

subgroupindex
#214593832
M16×D2442
C42×D2442
#214467962
#214467632
#214462592
#214461182
#214459172
#214458392
#339×D612
C4×#104×C612
#2250561