Finite Group Databasebeta

← #29696498

Subgroups — #29696498

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#21459386C211yesmaximal, characteristic
2M16×D244C211yesmaximal, characteristic, complemented
3C4×#14519739C211yesmaximal, characteristic, complemented
4#21446797C211yesmaximal, characteristic, complemented
5#21446261C212yesmaximal, complemented
6#21446120C212yesmaximal, complemented
7#21445917C212yesmaximal, complemented
8#21445840C211yesmaximal, characteristic, complemented
9C4×#14519703C211yesmaximal, characteristic, complemented
10#339×D61C212yesmaximal, complemented
11C61×#1986C211yesmaximal, characteristic, complemented
12C2×M16×D61C2212yes—
13#16840486C411yescharacteristic, complemented
14#16840478C411yescharacteristic, complemented
15#16840473C411yescharacteristic, complemented
16#16840465C412yescomplemented
17#16840454—21no—
18#16840450C412yescomplemented
19#16840439—22no—
20#16840415C411yescharacteristic, complemented
21#16840403—21no—
22#16840299—21no—
23#16840299—22no—
24#16840274C2212yes—
25C4×#11758226—21no—
26C4×#11758222C2211yescharacteristic
27C2×C4×D244C2211yescharacteristic
28C2×#14519739—21no—
29#117×D61C2212yes—
30C2×C42×D61C2212yes—
31#16839841—21no—
32#16839835—22no—
33C8×D244—21no—
34#16839786C2211yescharacteristic
35C2×#14519705C2212yes—
36C2×#14519703C2211yescharacteristic
37C2×#14519703C2211yescharacteristic
38#16839725C2212yes—
39C4⋊C4×Dic61—21no—
40C4×#11758198C2212yes—
41#16839609—22no—
42C42×Dic61C2211yescharacteristic
43#16839523C2211yescharacteristic
44#16839523C2211yescharacteristic
45#16839522C2212yes—
46#16839521C2212yes—
47#16839521C2212yes—
48C61×#533C2211yescharacteristic
49C4×M16×C61C2211yescharacteristic
50C4×C4⋊C4×C61C2211yescharacteristic
51C61×#339C2212yes—
52C61×#339C2212yes—
53C2×#11758226—21no—
54C2×#11758222C2311yescharacteristic
55C22×D244D411yescharacteristic
56C22×C4×D61—22no—
57C22×C4×D61C2312yes—
58C2×#11758194C2312yes—
59C2×#11758189—22no—
60M16×D61—24no—
61M16×D61—42no—
62C2×C8×D61—22no—
63#14519772—22no—
64#14519772—22no—
65#14519772—22no—
66#14519768—22no—
67#14519768—21no—
68#14519766—21no—
69#14519766—22no—
70#14519762—22no—
71#14519762—22no—
72#14519762—22no—
73#14519761—22no—
74#14519757C2×C412yescomplemented
75#14519757C2×C412yescomplemented
76#14519753—22no—
77#14519753—21no—
78#14519752—22no—
79#14519752—21no—
80#14519752C2×C412yescomplemented
81#14519752C2×C412yescomplemented
82#14519747—22no—
83Q8×Dic61—21no—
84C4×Dic122C2×C411yescharacteristic, complemented
85C4×Dic122C2×C411yescharacteristic, complemented
86C4×D244—22no—
87C4×D244—22no—
88C4×D244C2×C412yes—
89C4×D244C2×C411yescharacteristic
90C4×D244C2×C411yescharacteristic
91C4×D244C2×C411yescharacteristic, complemented
92C4×D244C2×C411yescharacteristic, complemented
93C4×D244D411yescharacteristic
94C4×D244D412yes—
95C4×D244D411yescharacteristic
96#14519739—28no—
97#14519739—21no—
98#14519739—22no—
99C4×C22⋊D61—21no—
100C4×C22⋊D61—21no—
101#14519736C2311yescharacteristic
102#14519735—22no—
103#14519735—21no—
104#14519735C2×C412yescomplemented
105#14519735C2×C412yescomplemented
106#14519734—22no—
107#14519734—21no—
108#14519733—22no—
109C2×C4⋊Dic61D411yescharacteristic
110C4⋊C4×D61C2×C412yescomplemented
111C4⋊C4×D61C2×C412yescomplemented
112C2×#11758198—22no—
113C2×#11758198D412yes—
114C22⋊C4×D61—22no—
115C2×C4×Dic61—21no—
116C2×C4×Dic61—21no—
117C2×C4×Dic61—22no—
118C2×C4×Dic61C2311yescharacteristic
119C2×C4×Dic61C2311yescharacteristic
120C42×D61—22no—
121C42×D61—21no—
122C42×D61—24no—
123C42×D61—42no—
124C4⋊#92418—21no—
125C4⋊#92418—21no—
126#14519705—42no—
127#14519703—22no—
128#14519703—22no—
129#14519689—22no—
130#14519689—22no—
131#14519684—22no—
132C2×M16×C61C2311yescharacteristic
133C2×M16×C61C2311yescharacteristic
134C4⋊Q8×C61C2×C411yescharacteristic, complemented
135C4⋊Q8×C61C2×C411yescharacteristic, complemented
136#125×C61C2×C412yescomplemented
137C22⋊Q8×C61—21no—
138C22⋊Q8×C61—21no—
139C4×Q8×C61—21no—
140C4×Q8×C61—21no—
141#117×C61C2312yes—
142C2×C4⋊C4×C61—21no—
143C2×C42×C61C2312yes—
144C2×C42×C61C2311yescharacteristic
145#97×C61—21no—
146C4×C8×C61—21no—
147#95×C61—21no—
148C23×D61C2×D412yes—
149C2×Q8×C61—21no—
150C2×Q8×C61—21no—
151C22×C4×C61—22no—
152C22×C4×C61C2×D411yescharacteristic
153C22×C4×C61C2×D411yescharacteristic
154C22×C4×C61C2411yescharacteristic
155C2×C22⋊D61—21no—
156C22×Dic61—21no—
157C22×Dic61—21no—
158C22×Dic61C2×D412yes—
159#11758226—44no—
160#11758222—21no—
161#11758222—21no—
162#11758222—21no—
163#11758222—21no—
164C2×D244—24no—
165C2×D244—22no—
166C2×D244—22no—
167C2×D244C22⋊C412yes—
168C2×D244C22⋊C411yescharacteristic
169C2×D244C22⋊C411yescharacteristic
170C2×D244C22×C411yescharacteristic
171C2×C4×D61—22no—
172C2×C4×D61—22no—
173C2×C4×D61—22no—
174C2×C4×D61—22no—
175C2×C4×D61—28no—
176C2×C4×D61—22no—
177C2×C4×D61—21no—
178C2×C4×D61—21no—
179C2×C4×D61—22no—
180C2×C4×D61—21no—
181C2×C4×D61—44no—
182C2×C4×D61—44no—
183C2×C4×D61C22×C412yes—
184C2×C4×D61C22×C412yes—
185C2×C4×D61C2×D412yes—
186C2×C4×D61C2×D412yes—
187C2×Dic122C22×C411yescharacteristic
188M16×C61—21no—
189M16×C61—21no—
190M16×C61—21no—
191M16×C61#4112yescomplemented
192C2×C8×C61—21no—
193C2×C8×C61—21no—
194C4⋊C4×C61—24no—
195C4⋊C4×C61—22no—
196C4⋊C4×C61—22no—
197C4⋊C4×C61—21no—
198C4⋊C4×C61—21no—
199C4⋊C4×C61C22×C412yes—
200C4⋊C4×C61C22×C412yes—
201C22⋊C4×C61—22no—
202C42×C61—22no—
203C42×C61—22no—
204C42×C61—22no—
205C42×C61C22×C411yescharacteristic
206C42×C61C22×C411yescharacteristic
207C42×C61C2×D411yescharacteristic
208C42×C61C2×D411yescharacteristic
209C22⋊Dic61—21no—
210#11758198—28no—
211#11758198—22no—
212#11758198—22no—
213#11758198—22no—
214#11758198—22no—
215#11758198—21no—
216#11758198—21no—
217#11758198—22no—
218#11758198—22no—
219#11758198C22⋊C412yes—
220#11758198C22⋊C412yes—
221#11758198C22⋊C412yes—
222#11758198C22⋊C412yes—
223C4⋊Dic61—22no—
224C4⋊Dic61—22no—
225C4⋊Dic61C22⋊C411yescharacteristic
226C4⋊Dic61C22⋊C411yescharacteristic
227C4⋊Dic61C22⋊C412yes—
228C4⋊Dic61C22×C411yescharacteristic
229C4⋊Dic61C22×C411yescharacteristic
230#11758196—21no—
231#11758196—21no—
232#11758196—22no—
233#11758196—22no—
234C4×Dic61—24no—
235C4×Dic61—21no—
236C4×Dic61—21no—
237C4×Dic61—21no—
238C4×Dic61—21no—
239C4×Dic61—22no—
240C4×Dic61—22no—
241C4×Dic61—21no—
242C4×Dic61—21no—
243C4×Dic61—44no—
244C4×Dic61—42no—
245C4×Dic61#4112yescomplemented
246#11758194—22no—
247#11758194—22no—
248C2×#92418—22no—
249#11758189—44no—
250C8×D61—44no—
251C23×C61C22×D411yescharacteristic
252C22×D61—22no—
253C22×D61—22no—
254C22×D61—24no—
255C22×D61—21no—
256C22×D61—42no—
257C22×D61C2×C22⋊C412yes—
258C22×D61C2×C22⋊C412yes—
259Q8×C61—42no—
260Q8×C61—81no—
261C2×C4×C61—22no—
262C2×C4×C61—24no—
263C2×C4×C61—22no—
264C2×C4×C61—22no—
265C2×C4×C61—41no—
266C2×C4×C61—42no—
267C2×C4×C61—42no—
268C2×C4×C61C2×C22⋊C411yescharacteristic
269C2×C4×C61C2×C22⋊C411yescharacteristic
270C2×C4×C61C2×C22⋊C411yescharacteristic
271C2×C4×C61C2×C22⋊C411yescharacteristic
272C2×C4×C61C23×C411yescharacteristic
273C2×C4×C61C22×D411yescharacteristic
274C2×C4×C61C2×#4111yescharacteristic
275C2×C4×C61C2×#4111yescharacteristic
276C2×C4×C61H(5,𝔽2)11yescharacteristic
277C2×C4×C612−1+411yescharacteristic
278C22⋊D61—41no—
279C22⋊D61—41no—
280C2×Dic61—22no—
281C2×Dic61—22no—
282C2×Dic61—22no—
283C2×Dic61—22no—
284C2×Dic61—22no—
285C2×Dic61—22no—
286C2×Dic61—21no—
287C2×Dic61—21no—
288C2×Dic61—21no—
289C2×Dic61—41no—
290C2×Dic61—41no—
291C2×Dic61C2×C22⋊C412yes—
292C2×Dic61C2×C22⋊C412yes—
293D244—24no—
294D244—21no—
295D244—21no—
296D244—22no—
297D244—44no—
298D244—82no—
299D244#10414yescomplemented
300C4×D61—22no—
301C4×D61—22no—
302C4×D61—22no—
303C4×D61—22no—
304C4×D61—22no—
305C4×D61—22no—
306C4×D61—22no—
307C4×D61—22no—
308C4×D61—416no—
309C4×D61—44no—
310C4×D61—41no—
311C4×D61—41no—
312C4×D61—42no—
313C4×D61—81no—
314C4×D61—82no—
315Dic122—21no—
316Dic122—21no—
317C8×C61—22no—
318C8×C61—41no—
319#92418—42no—
320#22505—611nomaximal, Sylow
321C22×C61—21no—
322C22×C61—21no—
323C22×C61C22×C22⋊C411yescharacteristic
324C22×C61#54611yescharacteristic
325C22×C61#54711yescharacteristic
326C2×D61—22no—
327C2×D61—22no—
328C2×D61—22no—
329C2×D61—22no—
330C2×D61—22no—
331C2×D61—44no—
332C2×D61—44no—
333C2×D61—41no—
334C2×D61—41no—
335C2×D61—41no—
336C2×D61C2×#10414yes—
337C4×C61—21no—
338C4×C61—21no—
339C4×C61—21no—
340C4×C61—44no—
341C4×C61—42no—
342C4×C61—42no—
343C4×C61C2×#10412yes—
344C4×C61C4×#4111yescharacteristic
345C4×C61#52011yescharacteristic
346C4×C61#54611yescharacteristic
347C4×C61#54711yescharacteristic
348Dic61—24no—
349Dic61—22no—
350Dic61—22no—
351Dic61—42no—
352Dic61—41no—
353Dic61—41no—
354Dic61—41no—
355#3475—611no—
356D4×M16—611no—
357C42×D4—611no—
358#1994—611no—
359#1986D6111yescharacteristic, complemented
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#233911yescharacteristic
369C2×C61C22×#10411yescharacteristic
370C2×C61#290111yescharacteristic
371D61—24no—
372D61—42no—
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#533C2×D6111yescharacteristic
385#529—1222no—
386#529—1221no—
387#525—612no—
388C4×#41—611no—
389C4×#41—1221no—
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—611no—
399C2×#104—611no—
400C2×#104—612no—
401#407—612no—
402C4×M16C2×D6111yescharacteristic
403C4×C4⋊C4—1221no—
404C4×C4⋊C4C2×D6111yescharacteristic
405C4×C22⋊C4—612no—
406C4×C22⋊C4—1222no—
407C43—611no—
408#339—611no—
409#339—611no—
410#339—612no—
411#339—612no—
412#339—612no—
413#339C2×D6112yes—
414#339C2×D6112yes—
415C61#2250511yescharacteristic, complemented, Sylow
416C2×#41—611no—
417C2×#41—1221no—
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⋊Q8C4×D6111yescharacteristic, complemented
429C4⋊Q8C4×D6111yescharacteristic, complemented
430#126—1222no—
431#126—1222no—
432#126—1222no—
433#125—1222no—
434#125—1221no—
435#125C4×D6112yescomplemented
436#124—1222no—
437#124—1221no—
438#123—1222no—
439#123—1222no—
440#123—1222no—
441#123—1222no—
442C22⋊Q8—21no—
443C22⋊Q8—21no—
444C22⋊Q8—612no—
445C22⋊Q8—612no—
446C22⋊Q8—1222no—
447C22⋊Q8—1221no—
448#121—612no—
449#121—612no—
450#121—1222no—
451#121—1221no—
452#120—1222no—
453C4×Q8—21no—
454C4×Q8—21no—
455C4×Q8—611no—
456C4×Q8—611no—
457C4×Q8—1221no—
458C4×D4—611no—
459C4×D4—612no—
460C4×D4—611no—
461C4×D4—611no—
462C4×D4—611no—
463C4×D4—611no—
464C4×D4—612no—
465C4×D4—611no—
466C4×D4—1222no—
467C4×D4—1222no—
468C4×D4—1222no—
469C4×D4—1221no—
470C4×D4—1228no—
471C4×D4—1221no—
472C4×D4—1221no—
473#117—611no—
474#117—612no—
475#117—612no—
476#117—1222no—
477#117—1222no—
478#117—1222no—
479#117—1221no—
480#117—1221no—
481#117C22×D6112yes—
482C2×C4⋊C4—21no—
483C2×C4⋊C4—611no—
484C2×C4⋊C4—612no—
485C2×C4⋊C4—612no—
486C2×C22⋊C4—612no—
487C2×C22⋊C4—1222no—
488C2×C22⋊C4—1222no—
489C2×C42—611no—
490C2×C42—611no—
491C2×C42—1224no—
492C2×C42—1222no—
493C2×C42—1221no—
494C2×C42—1221no—
495C2×C42—1222no—
496C2×C42—1221no—
497C2×C42—2442no—
498C2×C42C22×D6112yes—
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—21no—
508C4×C8—21no—
509#95—21no—
510#95—1222no—
511C24—612no—
512#41—1221no—
513#41—1221no—
514#41—1221no—
515#41—1221no—
516#41—2444no—
517C2×Q8—21no—
518C2×Q8—21no—
519C2×Q8—611no—
520C2×D4—611no—
521C2×D4—611no—
522C2×D4—612no—
523C2×D4—611no—
524C2×D4—1224no—
525C2×D4—1222no—
526C2×D4—1222no—
527C2×D4—1221no—
528C22×C4—22no—
529C22×C4—612no—
530C22×C4—612no—
531C22×C4—612no—
532C22×C4—612no—
533C22×C4—612no—
534C22×C4—1222no—
535C22×C4—1222no—
536C22×C4—1228no—
537C22×C4—1221no—
538C22×C4—1222no—
539C22×C4—1222no—
540C22×C4—1222no—
541C22×C4—1222no—
542C22×C4—1221no—
543C22×C4—1221no—
544C22×C4—1221no—
545C22×C4—1221no—
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#1175822612yescomplemented
558C2×C8—21no—
559C2×C8—21no—
560C2×C8—1222no—
561C2×C8—2444no—
562C4⋊C4—24no—
563C4⋊C4—21no—
564C4⋊C4—22no—
565C4⋊C4—22no—
566C4⋊C4—21no—
567C4⋊C4—611no—
568C4⋊C4—611no—
569C4⋊C4—612no—
570C4⋊C4—611no—
571C4⋊C4—611no—
572C4⋊C4—1222no—
573C4⋊C4—1222no—
574C4⋊C4—1222no—
575C4⋊C4—1222no—
576C4⋊C4—1221no—
577C4⋊C4—1221no—
578C4⋊C4C2×C4×D6112yes—
579C4⋊C4C2×C4×D6112yes—
580C22⋊C4—22no—
581C22⋊C4—612no—
582C22⋊C4—612no—
583C22⋊C4—612no—
584C22⋊C4—612no—
585C22⋊C4—1222no—
586C22⋊C4—1222no—
587C22⋊C4—1222no—
588C22⋊C4—1222no—
589C22⋊C4—1222no—
590C22⋊C4—1222no—
591C22⋊C4—1228no—
592C22⋊C4—1221no—
593C22⋊C4—1221no—
594C22⋊C4—1221no—
595C42—22no—
596C42—22no—
597C42—22no—
598C42—612no—
599C42—1222no—
600C42—1222no—
601C42—1224no—
602C42—1221no—
603C42—1221no—
604C42—1221no—
605C42—1221no—
606C42—1221no—
607C42—1221no—
608C42—2444no—
609C42—2442no—
610C42C2×C4×D6111yescharacteristic
611C42C2×C4×D6111yescharacteristic
612C42D4×D6111yescharacteristic
613C42D4×D6111yescharacteristic
614C23—612no—
615C23—612no—
616C23—1224no—
617C23—1222no—
618C23—1222no—
619C23—1221no—
620C23—2442no—
621C23C2×D4×D6111yescharacteristic
622Q8—42no—
623Q8—81no—
624Q8—1221no—
625Q8—1221no—
626D4—614no—
627D4—1224no—
628D4—1221no—
629D4—1221no—
630D4—1222no—
631D4—4882no—
632D4—2444no—
633D4—2441no—
634D4—2441no—
635C2×C4—22no—
636C2×C4—24no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—41no—
640C2×C4—42no—
641C2×C4—42no—
642C2×C4—612no—
643C2×C4—612no—
644C2×C4—1222no—
645C2×C4—1222no—
646C2×C4—1222no—
647C2×C4—1222no—
648C2×C4—1222no—
649C2×C4—1222no—
650C2×C4—1222no—
651C2×C4—1222no—
652C2×C4—1222no—
653C2×C4—1222no—
654C2×C4—1222no—
655C2×C4—1222no—
656C2×C4—1222no—
657C2×C4—1222no—
658C2×C4—1221no—
659C2×C4—1221no—
660C2×C4—1221no—
661C2×C4—4881no—
662C2×C4—4882no—
663C2×C4—24416no—
664C2×C4—2444no—
665C2×C4—2441no—
666C2×C4—2441no—
667C2×C4—2442no—
668C2×C4—2441no—
669C2×C4—2441no—
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×C4#41×D6111yescharacteristic
677C2×C4C2×#1175822611yescharacteristic
678C2×C4#1451982311yescharacteristic
679C2×C4#1451982511yescharacteristic
680C8—22no—
681C8—41no—
682C8—2442no—
683C22—21no—
684C22—21no—
685C22—614no—
686C22—1222no—
687C22—1222no—
688C22—1222no—
689C22—1222no—
690C22—1222no—
691C22—2444no—
692C22—2444no—
693C22—2441no—
694C22—2441no—
695C22—2441no—
696C22C2×C22⋊C4×D6111yescharacteristic
697C22#1684040511yescharacteristic
698C22#1684041511yescharacteristic
699C4—21no—
700C4—21no—
701C4—21no—
702C4—44no—
703C4—42no—
704C4—42no—
705C4—1224no—
706C4—1222no—
707C4—1222no—
708C4—2442no—
709C4—2441no—
710C4—2441no—
711C4—2441no—
712C4#104×D6112yes—
713C4C4×#1175822611yescharacteristic
714C4#1684024411yescharacteristic
715C4#1684040311yescharacteristic
716C4#1684041411yescharacteristic
717C2—21no—
718C2—21no—
719C2—1224no—
720C2—4881no—
721C2—2442no—
722C2#2144864811yescharacteristic
723C2C2×#104×D6111yescharacteristic
724C2#2145436511yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#1986C2
socleC22×C61C22×C22⋊C4
prime radical#21459386C2
cosocleC22×C4×C61C24
hypercenter#1986D61
hypocenterC61#22505
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C2×C4 ◁ C2×C42 ◁ #1986

Complements

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

NH ≅ G/Ntype
2. M16×D244C2semidirect
3. C4×#14519739C2semidirect
4. #21446797C2semidirect
5. #21446261C2semidirect
6. #21446120C2semidirect
7. #21445917C2semidirect
8. #21445840C2semidirect
9. C4×#14519703C2semidirect
10. #339×D61C2semidirect
11. C61×#1986C2semidirect
13. #16840486C4semidirect
14. #16840478C4semidirect
15. #16840473C4semidirect
16. #16840465C4semidirect
18. #16840450C4semidirect
20. #16840415C4semidirect
74. #14519757C2×C4semidirect
75. #14519757C2×C4semidirect
80. #14519752C2×C4semidirect
81. #14519752C2×C4semidirect
84. C4×Dic122C2×C4semidirect
85. C4×Dic122C2×C4semidirect
91. C4×D244C2×C4semidirect
92. C4×D244C2×C4semidirect
104. #14519735C2×C4semidirect
105. #14519735C2×C4semidirect
110. C4⋊C4×D61C2×C4semidirect
111. C4⋊C4×D61C2×C4semidirect
134. C4⋊Q8×C61C2×C4semidirect
135. C4⋊Q8×C61C2×C4semidirect
136. #125×C61C2×C4semidirect
191. M16×C61#41semidirect
245. C4×Dic61#41semidirect
299. D244#104semidirect
359. #1986D61semidirect
415. C61#22505semidirect
428. C4⋊Q8C4×D61semidirect
429. C4⋊Q8C4×D61semidirect
435. #125C4×D61semidirect
557. M16#11758226semidirect

Maximal subgroups

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

subgroupindex
#214593862
M16×D2442
C4×#145197392
#214467972
#214462612
#214461202
#214459172
#214458402
C4×#145197032
#339×D612
C61×#19862
#2250561