Finite Group Databasebeta

← #29686307

Subgroups — #29686307

Order 15616.

1124 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16839977C211yesmaximal, characteristic
2C2×#16839872C211yesmaximal, characteristic
3C2×#16839862C211yesmaximal, characteristic, complemented
4C4×#14519765C211yesmaximal, characteristic, complemented
5#21446751C211yesmaximal, characteristic, complemented
6#21446587C211yesmaximal, characteristic, complemented
7#21446453C211yesmaximal, characteristic, complemented
8#21446439C211yesmaximal, characteristic, complemented
9#21446167C211yesmaximal, characteristic
10#21446153C211yesmaximal, characteristic, complemented
11#21445829C211yesmaximal, characteristic, complemented
12#21445672C211yesmaximal, characteristic, complemented
13#21445652C211yesmaximal, characteristic, complemented
14#21445647C211yesmaximal, characteristic, complemented
15C42×D4×C61C211yesmaximal, characteristic, complemented
16C22×#11758200C2211yescharacteristic
17C22×#11758199C2211yescharacteristic
18C2×#14519765C2211yescharacteristic
19C2×C4×Dic122C2211yescharacteristic
20C2×C4×D244C2211yescharacteristic
21#16839977C418yescomplemented
22#16839872—24no—
23#16839862—24no—
24C2×#14519710C2211yescharacteristic
25C2×#14519708C2211yescharacteristic
26C2×C4⋊#92418C2211yescharacteristic
27C2×C4⋊#92418C2211yescharacteristic
28C2×#14519700C2211yescharacteristic
29C2×#14519700C2211yescharacteristic
30C2×#14519700C2211yescharacteristic
31C2×#14519698C2211yescharacteristic
32C2×#14519698C2211yescharacteristic
33C2×#14519697C2211yescharacteristic
34C2×#14519697C2211yescharacteristic
35C2×#14519697C2211yescharacteristic
36C2×#14519688C2211yescharacteristic
37C2×#14519688C2211yescharacteristic
38#16839668C2211yescharacteristic
39#16839664C2211yescharacteristic
40#16839653—21no—
41#16839653—21no—
42#16839628C2211yescharacteristic
43C4×#11758198—21no—
44C4×#11758198—21no—
45#16839524C2211yescharacteristic
46#16839524C2211yescharacteristic
47#16839524C2211yescharacteristic
48#16839524C2211yescharacteristic
49#16839517C2211yescharacteristic
50#16839517C2211yescharacteristic
51C2×C4×D4×C61C2211yescharacteristic
52C2×C4×D4×C61C2211yescharacteristic
53C2×C4×D4×C61C2211yescharacteristic
54C22×C42×C61—21no—
55C4×C4⋊C4×C61C2211yescharacteristic
56C4×C4⋊C4×C61C2211yescharacteristic
57C4×C4⋊C4×C61C2211yescharacteristic
58C4×C22⋊C4×C61—21no—
59C4×C22⋊C4×C61—21no—
60C4×C22⋊C4×C61—21no—
61C43×C61C2211yescharacteristic
62C22×Dic122C2311yescharacteristic
63C22×D244C2311yescharacteristic
64C22×C4×D61—21no—
65C2×#11758200—22no—
66C2×#11758200—22no—
67C2×#11758200C2×C414yescomplemented
68C2×#11758199—22no—
69C2×#11758199—22no—
70C2×#11758199C2×C414yes—
71C22×#92418C2311yescharacteristic
72C22×#92418C2311yescharacteristic
73C22×#92418C2311yescharacteristic
74C22×#92418C2311yescharacteristic
75#14519765—22no—
76#14519765C2×C414yescomplemented
77C4×Dic122—22no—
78C4×Dic122—22no—
79C4×D244—22no—
80C4×D244—22no—
81C2×C4⋊Dic61C2311yescharacteristic
82C2×C4⋊Dic61C2311yescharacteristic
83C2×#11758196—21no—
84C2×#11758198—21no—
85C2×#11758198—21no—
86C2×#11758198—21no—
87C2×#11758198—21no—
88C2×#11758198—21no—
89C2×C4×Dic61—21no—
90#14519710—22no—
91#14519708—22no—
92C4⋊#92418—22no—
93C4⋊#92418C2×C414yescomplemented
94#14519700—22no—
95#14519700—22no—
96#14519700C2×C414yescomplemented
97#14519698—22no—
98#14519698—22no—
99#14519697—22no—
100#14519697—22no—
101#14519697C2×C414yescomplemented
102#14519688—22no—
103#14519688—22no—
104#14519684—21no—
105#14519684—21no—
106#14519684—21no—
107#14519684—21no—
108C22×D4×C61C2311yescharacteristic
109C23×C4×C61—21no—
110C23×C4×C61—21no—
111C23×C4×C61—21no—
112C4×D4×C61—22no—
113C4×D4×C61—22no—
114C4×D4×C61—22no—
115C4×D4×C61—22no—
116C4×D4×C61C2×C414yescomplemented
117C4×D4×C61D414yes—
118C2×C4⋊C4×C61C2311yescharacteristic
119C2×C4⋊C4×C61C2311yescharacteristic
120C2×C4⋊C4×C61C2311yescharacteristic
121C2×C22⋊C4×C61—21no—
122C2×C22⋊C4×C61—21no—
123C2×C22⋊C4×C61—21no—
124C2×C42×C61—21no—
125C2×C42×C61—21no—
126C2×C42×C61—21no—
127C2×C42×C61—44no—
128C2×C42×C61D411yescharacteristic
129C2×C42×C61D411yescharacteristic
130C2×C42×C61D411yescharacteristic
131C2×C42×C61D411yescharacteristic
132C2×C42×C61C2311yescharacteristic
133C2×C42×C61C2311yescharacteristic
134C2×C42×C61C2311yescharacteristic
135#95×C61—21no—
136#95×C61—21no—
137#95×C61—21no—
138C24×C61—21no—
139C23×D61—21no—
140C2×D4×C61—21no—
141C2×D4×C61—21no—
142C2×D4×C61—21no—
143C2×D4×C61C22×C412yes—
144C2×D4×C61C2×D412yes—
145C2×D4×C61#4112yes—
146C22×C4×C61—24no—
147C22×C4×C61—21no—
148C22×C4×C61—21no—
149C22×C4×C61—21no—
150C22×C4×C61—24no—
151C22×C4×C61—24no—
152C22×C4×C61—42no—
153C22×C4×C61—42no—
154C22×C4×C61—42no—
155C22×C4×C61—42no—
156C22×C4×C61—42no—
157C22×C4×C61—42no—
158C22×C4×C61C2×D411yescharacteristic
159C22×C4×C61C2×D411yescharacteristic
160C22×C4×C61C2×D411yescharacteristic
161C22×C4×C61C2×D411yescharacteristic
162C22×C4×C61C2×D411yescharacteristic
163C22×C4×C61C2×D411yescharacteristic
164C22×C4×C61C2411yescharacteristic
165C22×Dic61—21no—
166C22×Dic61—21no—
167C22×Dic61—21no—
168C2×D244—21no—
169C2×D244—21no—
170C2×D244—21no—
171C2×D244—21no—
172C2×D244—21no—
173C2×D244C22×C412yes—
174C2×C4×D61—42no—
175C2×C4×D61—42no—
176C2×C4×D61—42no—
177C2×Dic122—21no—
178C2×Dic122—21no—
179C2×Dic122—21no—
180C2×Dic122—21no—
181C2×Dic122—21no—
182C2×Dic122C22×C412yes—
183C4⋊C4×C61—21no—
184C4⋊C4×C61—21no—
185C4⋊C4×C61—21no—
186C4⋊C4×C61C22×C412yes—
187C4⋊C4×C61C2×D412yes—
188C4⋊C4×C61#4112yes—
189C22⋊C4×C61—24no—
190C22⋊C4×C61—24no—
191C22⋊C4×C61—24no—
192C42×C61—22no—
193C42×C61—21no—
194C42×C61—21no—
195C42×C61—41no—
196C42×C61—41no—
197C42×C61—41no—
198C42×C61—42no—
199C42×C61—42no—
200C42×C61—42no—
201C42×C61C22×C412yes—
202C42×C61C2×D412yes—
203C42×C61#4112yes—
204C42×C61#4112yes—
205#11758200—28no—
206#11758199—28no—
207#11758198—24no—
208#11758198—24no—
209#11758198—42no—
210#11758198—42no—
211#11758198—42no—
212C4⋊Dic61—21no—
213C4⋊Dic61—21no—
214C4⋊Dic61—21no—
215C4⋊Dic61—21no—
216#11758196—42no—
217C4×Dic61—42no—
218C2×#92418—21no—
219C2×#92418—21no—
220C2×#92418—21no—
221C2×#92418—21no—
222C2×#92418—21no—
223C2×#92418—21no—
224C2×#92418—21no—
225C2×#92418—21no—
226C2×#92418—21no—
227C2×#92418—21no—
228C2×#92418C22×C412yes—
229C2×#92418C22×C412yes—
230C23×C61—22no—
231C23×C61—22no—
232C23×C61—22no—
233C23×C61—41no—
234C23×C61—41no—
235C23×C61—41no—
236C23×C61—41no—
237C23×C61C22×D411yescharacteristic
238C22×D61—22no—
239C22×D61—41no—
240C22×D61—41no—
241C22×D61—41no—
242C22×D61—41no—
243C22×D61—41no—
244C22×D61—41no—
245D4×C61—22no—
246D4×C61—22no—
247D4×C61—22no—
248D4×C61C4×D414yes—
249C2×C4×C61—21no—
250C2×C4×C61—21no—
251C2×C4×C61—21no—
252C2×C4×C61—21no—
253C2×C4×C61—21no—
254C2×C4×C61—21no—
255C2×C4×C61—21no—
256C2×C4×C61—21no—
257C2×C4×C61—21no—
258C2×C4×C61—21no—
259C2×C4×C61—22no—
260C2×C4×C61—22no—
261C2×C4×C61—21no—
262C2×C4×C61—22no—
263C2×C4×C61—21no—
264C2×C4×C61—21no—
265C2×C4×C61—48no—
266C2×C4×C61—48no—
267C2×C4×C61—48no—
268C2×C4×C61—41no—
269C2×C4×C61—41no—
270C2×C4×C61—41no—
271C2×C4×C61—41no—
272C2×C4×C61—41no—
273C2×C4×C61—41no—
274C2×C4×C61C4×D412yes—
275C2×C4×C61C4×D412yes—
276C2×C4×C61#12112yes—
277C2×C4×C61#12112yes—
278C2×C4×C61AGL(1,ℤ/8)12yes—
279C2×C4×C61C23×C411yescharacteristic
280C2×C4×C61C22×D411yescharacteristic
281C2×C4×C61C2×#4111yescharacteristic
282C2×C4×C61C2×#4111yescharacteristic
283C2×C4×C61C2×#4111yescharacteristic
284C2×C4×C61C2×#4111yescharacteristic
285C2×Dic61—22no—
286C2×Dic61—41no—
287C2×Dic61—41no—
288C2×Dic61—41no—
289C2×Dic61—41no—
290C2×Dic61—41no—
291C2×Dic61—41no—
292C2×Dic61—41no—
293C2×Dic61—41no—
294D244—22no—
295D244—22no—
296D244—41no—
297D244—41no—
298C4×D61—84no—
299Dic122—22no—
300Dic122—22no—
301Dic122—41no—
302Dic122—41no—
303#92418—22no—
304#92418—22no—
305#92418—41no—
306#92418—41no—
307#21507—611nomaximal, Sylow
308C22×C61—24no—
309C22×C61—42no—
310C22×C61—42no—
311C22×C61—42no—
312C22×C61—42no—
313C22×C61—42no—
314C22×C61—42no—
315C22×C61C2×C4×D411yescharacteristic
316C22×C61C2×#12111yescharacteristic
317C22×C61#52511yescharacteristic
318C22×C61C2×AGL(1,ℤ/8)11yescharacteristic
319C22×C61#57511yescharacteristic
320C22×C61#57511yescharacteristic
321C22×C61#57511yescharacteristic
322C2×D61—42no—
323C2×D61—42no—
324C2×D61—42no—
325C2×D61—81no—
326C2×D61—81no—
327C2×D61—81no—
328C2×D61—81no—
329C4×C61—22no—
330C4×C61—22no—
331C4×C61—22no—
332C4×C61—22no—
333C4×C61—22no—
334C4×C61—41no—
335C4×C61—42no—
336C4×C61—42no—
337C4×C61—42no—
338C4×C61C2×C4×D411yescharacteristic
339C4×C61C4×#4111yescharacteristic
340C4×C61#52911yescharacteristic
341C4×C61#53211yescharacteristic
342Dic61—42no—
343Dic61—81no—
344Dic61—81no—
345C2×#463—611no—
346C2×#442—611no—
347C2×#440—611no—
348C4×#124—611no—
349C42×D4D6111yescharacteristic, complemented
350#1983—611no—
351#1949—611no—
352#1927—611no—
353#1925—611no—
354#1879—611no—
355#1877—611no—
356#1804—611no—
357#1767—611no—
358#1763—611no—
359#1762—611no—
360C2×C61—44no—
361C2×C61C4×#12111yescharacteristic
362C2×C61#294311yescharacteristic
363C2×C61C4×AGL(1,ℤ/8)11yescharacteristic
364C2×C61#303611yescharacteristic
365C2×C61#304011yescharacteristic
366C2×C61#311111yescharacteristic
367C2×C61#311411yescharacteristic
368D61—82no—
369C22×SD16—611no—
370C22×D8—611no—
371C2×#124—611no—
372C2×C4×Q8—611no—
373C2×C4×D4—611no—
374C2×C4×D4C2×D6111yescharacteristic
375C2×C4×D4C2×D6111yescharacteristic
376C2×C4×D4C2×D6111yescharacteristic
377C22×C42—21no—
378#463—618no—
379#442—1224no—
380#440—1224no—
381C2×#107—611no—
382C2×#106—611no—
383C2×C4⋊C8—611no—
384C2×C4⋊C8—611no—
385C2×#103—611no—
386C2×#103—611no—
387C2×#103—611no—
388C2×#102—611no—
389C2×#102—611no—
390C2×#102—611no—
391C2×#102—611no—
392C2×#102—611no—
393C2×#97—611no—
394C2×#97—611no—
395#391—611no—
396#390—611no—
397#388—1221no—
398#388—1221no—
399#382—611no—
400C4×C4⋊C4C2×D6111yescharacteristic
401C4×C4⋊C4C2×D6111yescharacteristic
402C4×C4⋊C4C2×D6111yescharacteristic
403C4×C22⋊C4—21no—
404C4×C22⋊C4—21no—
405C4×C22⋊C4—21no—
406C4×C22⋊C4—1221no—
407C4×C22⋊C4—1221no—
408C43C2×D6111yescharacteristic
409#340—611no—
410#340—611no—
411#340—611no—
412#340—611no—
413#336—611no—
414#336—611no—
415C61#2150711yescharacteristic, complemented, Sylow
416C22×Q8—611no—
417C22×D4—611no—
418C22×D4C22×D6111yescharacteristic
419C23×C4—21no—
420C23×C4—21no—
421C23×C4—21no—
422C23×C4—1221no—
423C2×SD16—614no—
424C2×SD16—1222no—
425C2×SD16—1222no—
426C2×D8—614no—
427C2×D8—1222no—
428C2×D8—1222no—
429C22×C8—611no—
430C22×C8—611no—
431C22×C8—611no—
432C22×C8—611no—
433#124—614no—
434#124—1222no—
435C4×Q8—1222no—
436C4×Q8—1222no—
437C4×D4—22no—
438C4×D4—22no—
439C4×D4—22no—
440C4×D4—22no—
441C4×D4—1222no—
442C4×D4—1222no—
443C4×D4C4×D6114yescomplemented
444C4×D4D24414yes—
445C2×C4⋊C4—611no—
446C2×C4⋊C4—611no—
447C2×C4⋊C4—1221no—
448C2×C4⋊C4C22×D6111yescharacteristic
449C2×C4⋊C4C22×D6111yescharacteristic
450C2×C4⋊C4C22×D6111yescharacteristic
451C2×C22⋊C4—21no—
452C2×C22⋊C4—21no—
453C2×C22⋊C4—21no—
454C2×C22⋊C4—1221no—
455C2×C22⋊C4—1221no—
456C2×C22⋊C4—1221no—
457C2×C22⋊C4—1221no—
458C2×C22⋊C4—1221no—
459C2×C42—21no—
460C2×C42—21no—
461C2×C42—21no—
462C2×C42—44no—
463C2×C42—1221no—
464C2×C42C22⋊D6111yescharacteristic
465C2×C42C22⋊D6111yescharacteristic
466C2×C42C22⋊D6111yescharacteristic
467C2×C42C22⋊D6111yescharacteristic
468C2×C42C22×D6111yescharacteristic
469C2×C42C22×D6111yescharacteristic
470C2×C42C22×D6111yescharacteristic
471#107—1222no—
472#106—1222no—
473C4⋊C8—614no—
474C4⋊C8—1222no—
475#103—614no—
476#103—1222no—
477#103—1222no—
478#102—614no—
479#102—1222no—
480#102—1222no—
481#102—1222no—
482#102—1222no—
483#97—1222no—
484#97—1222no—
485#95—21no—
486#95—21no—
487#95—21no—
488#95—1221no—
489#95—1221no—
490#95—1221no—
491#95—1221no—
492C24—21no—
493C24—1221no—
494C2×Q8—612no—
495C2×Q8—1221no—
496C2×Q8—1221no—
497C2×Q8—1221no—
498C2×Q8—1221no—
499C2×Q8—1221no—
500C2×D4—21no—
501C2×D4—21no—
502C2×D4—21no—
503C2×D4—612no—
504C2×D4—1221no—
505C2×D4—1221no—
506C2×D4—1221no—
507C2×D4—1221no—
508C2×D4—1221no—
509C2×D4C2×C4×D6112yes—
510C2×D4C2×D24412yes—
511C2×D4#1175822212yes—
512C22×C4—24no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—24no—
517C22×C4—24no—
518C22×C4—42no—
519C22×C4—42no—
520C22×C4—42no—
521C22×C4—42no—
522C22×C4—42no—
523C22×C4—42no—
524C22×C4—1221no—
525C22×C4—1221no—
526C22×C4—1221no—
527C22×C4—2442no—
528C22×C4—2442no—
529C22×C4—2442no—
530C22×C4C2×C22⋊D6111yescharacteristic
531C22×C4C2×C22⋊D6111yescharacteristic
532C22×C4C2×C22⋊D6111yescharacteristic
533C22×C4C2×C22⋊D6111yescharacteristic
534C22×C4C2×C22⋊D6111yescharacteristic
535C22×C4C2×C22⋊D6111yescharacteristic
536C22×C4C23×D6111yescharacteristic
537SD16—1228no—
538D8—1228no—
539C2×C8—612no—
540C2×C8—612no—
541C2×C8—1221no—
542C2×C8—1221no—
543C2×C8—1221no—
544C2×C8—1221no—
545C2×C8—1221no—
546C2×C8—1221no—
547C2×C8—1221no—
548C2×C8—1221no—
549C2×C8—1221no—
550C2×C8—1221no—
551C4⋊C4—21no—
552C4⋊C4—21no—
553C4⋊C4—21no—
554C4⋊C4—1221no—
555C4⋊C4—1221no—
556C4⋊C4—1221no—
557C4⋊C4—1221no—
558C4⋊C4—2442no—
559C4⋊C4C2×C4×D6112yes—
560C4⋊C4C2×D24412yes—
561C4⋊C4#1175822212yes—
562C22⋊C4—24no—
563C22⋊C4—24no—
564C22⋊C4—24no—
565C22⋊C4—1224no—
566C22⋊C4—1224no—
567C22⋊C4—2442no—
568C22⋊C4—2442no—
569C22⋊C4—2442no—
570C42—21no—
571C42—21no—
572C42—22no—
573C42—41no—
574C42—41no—
575C42—41no—
576C42—42no—
577C42—42no—
578C42—42no—
579C42—2442no—
580C42C2×C4×D6112yes—
581C42C2×D24412yes—
582C42#1175822212yes—
583C42#1175822212yes—
584C23—22no—
585C23—22no—
586C23—22no—
587C23—41no—
588C23—41no—
589C23—41no—
590C23—41no—
591C23—1222no—
592C23—2441no—
593C23—2441no—
594C23—2441no—
595C23—2441no—
596C23—2441no—
597C23—2441no—
598C23C22×C22⋊D6111yescharacteristic
599Q8—1222no—
600Q8—1222no—
601Q8—2441no—
602Q8—2441no—
603D4—22no—
604D4—22no—
605D4—22no—
606D4—1222no—
607D4—1222no—
608D4—2441no—
609D4—2441no—
610D4C4×D24414yes—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—21no—
624C2×C4—22no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—48no—
628C2×C4—48no—
629C2×C4—48no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—1222no—
637C2×C4—4884no—
638C2×C4—2441no—
639C2×C4—2441no—
640C2×C4—2441no—
641C2×C4—2441no—
642C2×C4—2441no—
643C2×C4—2441no—
644C2×C4—2441no—
645C2×C4—2441no—
646C2×C4C4×C22⋊D6112yes—
647C2×C4C4×C22⋊D6112yes—
648C2×C4#1451975112yes—
649C2×C4#1451975112yes—
650C2×C4#1451980312yes—
651C2×C4C22×C4×D6111yescharacteristic
652C2×C4C22×D24411yescharacteristic
653C2×C4C2×#1175822211yescharacteristic
654C2×C4C2×#1175822211yescharacteristic
655C2×C4C2×#1175822211yescharacteristic
656C2×C4C2×#1175822211yescharacteristic
657C8—1222no—
658C8—1222no—
659C8—2441no—
660C8—2441no—
661C22—24no—
662C22—42no—
663C22—42no—
664C22—42no—
665C22—42no—
666C22—42no—
667C22—42no—
668C22—4881no—
669C22—4881no—
670C22—4881no—
671C22—4881no—
672C22—2442no—
673C22—2442no—
674C22—2442no—
675C22C2×C4×C22⋊D6111yescharacteristic
676C22C2×#1451975111yescharacteristic
677C22#1684027311yescharacteristic
678C22C2×#1451980311yescharacteristic
679C22#1684056011yescharacteristic
680C22#1684056011yescharacteristic
681C22#1684056011yescharacteristic
682C4—22no—
683C4—22no—
684C4—22no—
685C4—22no—
686C4—22no—
687C4—42no—
688C4—41no—
689C4—42no—
690C4—42no—
691C4—4881no—
692C4—4881no—
693C4—2442no—
694C4C2×C4×D24411yescharacteristic
695C4C4×#1175822211yescharacteristic
696C4#1684029611yescharacteristic
697C4#1684031211yescharacteristic
698C2—44no—
699C2—4882no—
700C2C4×#1451975111yescharacteristic
701C2#2145461711yescharacteristic
702C2C4×#1451980311yescharacteristic
703C2#2145528311yescharacteristic
704C2#2145531311yescharacteristic
705C2#2145592811yescharacteristic
706C2#2145595711yescharacteristic
subgroupG/H
centerC23C22×C22⋊D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC42×D4×C61C2
socleC23×C61C22×D4
prime radicalC22×#11758199C22
cosocleC22×C4×C61C24
hypercenterC42×D4D61
hypocenterC61#21507
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C43 ◁ C42×D4

Complements

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

NH ≅ G/Ntype
3. C2×#16839862C2semidirect
4. C4×#14519765C2semidirect
5. #21446751C2semidirect
6. #21446587C2semidirect
7. #21446453C2semidirect
8. #21446439C2semidirect
10. #21446153C2semidirect
11. #21445829C2semidirect
12. #21445672C2semidirect
13. #21445652C2semidirect
14. #21445647C2semidirect
15. C42×D4×C61C2semidirect
21. #16839977C4semidirect
67. C2×#11758200C2×C4semidirect
76. #14519765C2×C4semidirect
93. C4⋊#92418C2×C4semidirect
96. #14519700C2×C4semidirect
101. #14519697C2×C4semidirect
116. C4×D4×C61C2×C4semidirect
349. C42×D4D61semidirect
415. C61#21507semidirect
443. C4×D4C4×D61semidirect

Maximal subgroups

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

subgroupindex
C2×#168399772
C2×#168398722
C2×#168398622
C4×#145197652
#214467512
#214465872
#214464532
#214464392
#214461672
#214461532
#214458292
#214456722
#214456522
#214456472
C42×D4×C612
#2150761