Finite Group Databasebeta

← #29601993

Subgroups — #29601993

Order 15616.

2510 conjugacy classes of subgroups.

The subgroup lattice has 706 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C4⋊C4×D61C211yesmaximal, characteristic
2C2×#16839636C212yesmaximal
3C2×#16839633C212yesmaximal
4C2×#16839631C212yesmaximal, complemented
5C2×#16839621C211yesmaximal, characteristic
6C2×#16839609C211yesmaximal, characteristic
7#21444084C211yesmaximal, characteristic, complemented
8#21444083C211yesmaximal, characteristic, complemented
9#21444082C211yesmaximal, characteristic, complemented
10#21444047C212yesmaximal, complemented
11C61×#1444C211yesmaximal, characteristic, complemented
12C23×C4×D61C2212yes—
13C23×C4×D61C2211yescharacteristic
14C22×C4⋊Dic61C2211yescharacteristic
15C22×C4⋊Dic61C2212yes—
16C22×#11758196C2211yescharacteristic
17C22×#11758196C2211yescharacteristic
18C22×#11758196C2212yes—
19C22×#11758196C2212yes—
20C22×#11758196C2212yes—
21C2×C4⋊C4×D61—28no—
22C2×C4⋊C4×D61—24no—
23C22×#11758198C2211yescharacteristic
24C22×#11758198C2211yescharacteristic
25C22×#11758198C2212yes—
26C22×C4×Dic61C2212yes—
27#16839636—28no—
28#16839633—28no—
29#16839631—28no—
30#16839621—24no—
31#16839609C418yescomplemented
32C2×#14519684C2212yes—
33C2×#14519684C2212yes—
34C2×#14519684C2212yes—
35C2×#14519684C2211yescharacteristic
36C2×#14519684C2211yescharacteristic
37C22×C4⋊C4×C61C2211yescharacteristic
38C22×C4⋊C4×C61C2212yes—
39C2×#95×C61C2212yes—
40C2×#95×C61C2211yescharacteristic
41C2×#95×C61C2211yescharacteristic
42C24×D61C2311yescharacteristic
43C23×Dic61C2311yescharacteristic
44C23×Dic61C2311yescharacteristic
45C23×Dic61C2312yes—
46C23×Dic61C2312yes—
47C23×Dic61C2311yescharacteristic
48C22×C4×D61—24no—
49C22×C4×D61—24no—
50C22×C4×D61—24no—
51C22×C4×D61—24no—
52C22×C4×D61—24no—
53C22×C4×D61—24no—
54C22×C4×D61—24no—
55C22×C4×D61—42no—
56C22×C4×D61—42no—
57C22×C4×D61C2×C414yes—
58C22×C4×D61D414yes—
59C22×C4×D61Q814yes—
60C2×C4⋊Dic61—22no—
61C2×C4⋊Dic61—24no—
62C2×C4⋊Dic61—24no—
63C2×C4⋊Dic61—24no—
64C2×C4⋊Dic61—42no—
65C2×#11758196—24no—
66C2×#11758196—24no—
67C2×#11758196—24no—
68C2×#11758196—22no—
69C2×#11758196—22no—
70C2×#11758196—24no—
71C2×#11758196—24no—
72C2×#11758196—24no—
73C2×#11758196—24no—
74C2×#11758196—24no—
75C2×#11758196—42no—
76C2×#11758196—42no—
77C2×#11758196D418yes—
78C4⋊C4×D61—232no—
79C2×#11758198—22no—
80C2×#11758198—22no—
81C2×#11758198—24no—
82C2×#11758198—24no—
83C2×#11758198C2×C418yes—
84C2×#11758198D418yes—
85C2×#11758198Q818yes—
86C2×C4×Dic61—24no—
87C2×C4×Dic61—24no—
88C2×C4×Dic61C2×C418yescomplemented
89#14519684—22no—
90#14519684—24no—
91#14519684—24no—
92#14519684—24no—
93#14519684C2×C414yescomplemented
94C23×C4×C61C2311yescharacteristic
95C23×C4×C61C2311yescharacteristic
96C23×C4×C61C2312yes—
97C23×C4×C61C2312yes—
98C23×C4×C61C2311yescharacteristic
99C2×C4⋊C4×C61—24no—
100C2×C4⋊C4×C61—22no—
101C2×C4⋊C4×C61—24no—
102C2×C4⋊C4×C61—24no—
103C2×C4⋊C4×C61—42no—
104#95×C61—22no—
105#95×C61—24no—
106#95×C61C2×C414yescomplemented
107C24×C61C2411yescharacteristic
108C23×D61—22no—
109C23×D61—22no—
110C23×D61—21no—
111C23×D61—21no—
112C23×D61—21no—
113C23×D61—21no—
114C23×D61C22×C412yes—
115C23×D61C2×D412yes—
116C23×D61C2×D414yes—
117C23×D61C2×Q812yes—
118C23×D61C2×Q814yes—
119C22×C4×C61—22no—
120C22×C4×C61—22no—
121C22×C4×C61—22no—
122C22×C4×C61—22no—
123C22×C4×C61—22no—
124C22×C4×C61—22no—
125C22×C4×C61—22no—
126C22×C4×C61—22no—
127C22×C4×C61—22no—
128C22×C4×C61—22no—
129C22×C4×C61—22no—
130C22×C4×C61—22no—
131C22×C4×C61—22no—
132C22×C4×C61—21no—
133C22×C4×C61—21no—
134C22×C4×C61—22no—
135C22×C4×C61—22no—
136C22×C4×C61—22no—
137C22×C4×C61—21no—
138C22×C4×C61—21no—
139C22×C4×C61—21no—
140C22×C4×C61—21no—
141C22×C4×C61C22×C412yes—
142C22×C4×C61C22×C414yes—
143C22×C4×C61C2×D414yes—
144C22×C4×C61C2×D412yes—
145C22×C4×C61C2×D414yes—
146C22×C4×C61C2×Q812yes—
147C22×C4×C61C2×Q814yes—
148C22×Dic61—22no—
149C22×Dic61—22no—
150C22×Dic61—22no—
151C22×Dic61—22no—
152C22×Dic61—22no—
153C22×Dic61—22no—
154C22×Dic61—22no—
155C22×Dic61—22no—
156C22×Dic61—22no—
157C22×Dic61—22no—
158C22×Dic61—22no—
159C22×Dic61—21no—
160C22×Dic61—21no—
161C22×Dic61—22no—
162C22×Dic61—22no—
163C22×Dic61—22no—
164C22×Dic61—21no—
165C22×Dic61—21no—
166C22×Dic61—21no—
167C22×Dic61—21no—
168C22×Dic61C22×C414yes—
169C22×Dic61C22×C412yes—
170C22×Dic61C2×D414yes—
171C22×Dic61C2×D414yes—
172C22×Dic61C2×D412yes—
173C22×Dic61C2×D414yes—
174C22×Dic61C2×Q814yes—
175C22×Dic61C2×Q812yes—
176C22×Dic61#4114yes—
177C2×C4×D61—216no—
178C2×C4×D61—28no—
179C2×C4×D61—216no—
180C2×C4×D61—28no—
181C2×C4×D61—216no—
182C2×C4×D61—48no—
183C2×C4×D61—48no—
184C2×C4×D61—48no—
185C2×C4×D61—48no—
186C2×C4×D61—48no—
187C2×C4×D61—48no—
188C2×C4×D61C4⋊C4116yescomplemented
189C4⋊C4×C61—28no—
190C4⋊C4×C61—48no—
191#11758198—44no—
192#11758198—44no—
193#11758198C4⋊C4132yescomplemented
194C4⋊Dic61—28no—
195C4⋊Dic61—48no—
196#11758196—216no—
197#11758196—48no—
198#11758196—48no—
199#11758196—44no—
200#11758196—44no—
201C4×Dic61—216no—
202C23×C61C23×C411yescharacteristic
203C23×C61C22×D411yescharacteristic
204C23×C61C22×D412yes—
205C23×C61C22×D412yes—
206C23×C61C22×Q811yescharacteristic
207C23×C61C22×Q812yes—
208C23×C61C2×#4112yes—
209C23×C61H(5,𝔽2)11yescharacteristic
210C23×C61H(5,𝔽2)11yescharacteristic
211C23×C612−1+411yescharacteristic
212C23×C612−1+411yescharacteristic
213C22×D61—24no—
214C22×D61—22no—
215C22×D61—22no—
216C22×D61—22no—
217C22×D61—24no—
218C22×D61—22no—
219C22×D61—22no—
220C22×D61—22no—
221C22×D61—22no—
222C22×D61—22no—
223C22×D61—24no—
224C22×D61—24no—
225C22×D61—24no—
226C22×D61—24no—
227C22×D61—24no—
228C22×D61—24no—
229C22×D61—24no—
230C22×D61—24no—
231C22×D61C2×C4⋊C418yes—
232C22×D61C2×C4⋊C414yes—
233C22×D61#12714yes—
234C22×D61C4⋊Q814yes—
235C22×D61C4⋊Q818yes—
236C2×C4×C61—24no—
237C2×C4×C61—24no—
238C2×C4×C61—24no—
239C2×C4×C61—22no—
240C2×C4×C61—24no—
241C2×C4×C61—22no—
242C2×C4×C61—24no—
243C2×C4×C61—24no—
244C2×C4×C61—24no—
245C2×C4×C61—24no—
246C2×C4×C61—24no—
247C2×C4×C61—24no—
248C2×C4×C61—24no—
249C2×C4×C61—42no—
250C2×C4×C61—42no—
251C2×C4×C61—42no—
252C2×C4×C61—42no—
253C2×C4×C61—41no—
254C2×C4×C61—41no—
255C2×C4×C61—41no—
256C2×C4×C61—41no—
257C2×C4×C61—41no—
258C2×C4×C61—41no—
259C2×C4×C61—42no—
260C2×C4×C61—42no—
261C2×C4×C61—42no—
262C2×C4×C61—42no—
263C2×C4×C61C2×C4⋊C414yes—
264C2×C4×C61C2×C4⋊C418yescomplemented
265C2×Dic61—24no—
266C2×Dic61—24no—
267C2×Dic61—24no—
268C2×Dic61—24no—
269C2×Dic61—24no—
270C2×Dic61—24no—
271C2×Dic61—24no—
272C2×Dic61—24no—
273C2×Dic61—24no—
274C2×Dic61—42no—
275C2×Dic61—42no—
276C2×Dic61—42no—
277C2×Dic61—42no—
278C2×Dic61—41no—
279C2×Dic61—41no—
280C2×Dic61—41no—
281C2×Dic61—41no—
282C2×Dic61—41no—
283C2×Dic61—41no—
284C2×Dic61—42no—
285C2×Dic61—42no—
286C2×Dic61—42no—
287C2×Dic61—42no—
288C2×Dic61C2×C4⋊C414yes—
289C2×Dic61C2×C4⋊C418yescomplemented
290C2×Dic61C4×D418yes—
291C2×Dic61#12014yes—
292C2×Dic61C22⋊Q818yes—
293C2×Dic61#12314yes—
294C4×D61—232no—
295C4×D61—432no—
296#13880—611nomaximal, Sylow
297C22×C61C22×C4⋊C411yescharacteristic
298C22×C61C22×C4⋊C412yes—
299C22×C61C2×C4×D412yes—
300C22×C61#52011yescharacteristic
301C22×C61#52011yescharacteristic
302C22×C61C2×#12011yescharacteristic
303C22×C61C2×C22⋊Q812yes—
304C22×C61C2×#12311yescharacteristic
305C22×C61C2×#12711yescharacteristic
306C22×C61C2×C4⋊Q811yescharacteristic
307C22×C61C2×C4⋊Q812yes—
308C22×C61#53511yescharacteristic
309C22×C61#53611yescharacteristic
310C22×C61#54411yescharacteristic
311C22×C61#54411yescharacteristic
312C22×C61D4212yes—
313C22×C61D4212yes—
314C22×C61#54712yes—
315C22×C61#54712yes—
316C22×C61D4×Q812yes—
317C22×C61D4×Q812yes—
318C22×C61#55412yes—
319C22×C61#55412yes—
320C2×D61—24no—
321C2×D61—28no—
322C2×D61—28no—
323C2×D61—24no—
324C2×D61—24no—
325C2×D61—28no—
326C2×D61—28no—
327C2×D61—24no—
328C2×D61—24no—
329C2×D61—24no—
330C2×D61#38418yescomplemented
331C4×C61—28no—
332C4×C61—24no—
333C4×C61—44no—
334C4×C61—81no—
335C4×C61—81no—
336Dic61—28no—
337Dic61—44no—
338Dic61—81no—
339Dic61—81no—
340Dic61#38518yescomplemented
341C23×C4⋊C4—611no—
342C2×#385—612no—
343C2×#385—612no—
344C2×#384—612no—
345C2×#380—611no—
346C2×C4×C22⋊C4—611no—
347#1444—611no—
348#1444—611no—
349#1444—611no—
350#1444D6111yescharacteristic, complemented
351C4⋊#95—612no—
352C2×C61C2×#38411yescharacteristic
353C2×C61C2×#38511yescharacteristic
354C2×C61#231711yescharacteristic
355C2×C61D4×C4⋊C412yes—
356C2×C61D4×C4⋊C412yes—
357C2×C61#243311yescharacteristic
358C2×C61#243411yescharacteristic
359C2×C61#244012yes—
360C2×C61#244012yes—
361C2×C61#250111yescharacteristic
362C2×C61#250211yescharacteristic
363D61—28no—
364C24×C4—611no—
365C24×C4—612no—
366C22×C4⋊C4—612no—
367C22×C4⋊C4—611no—
368C22×C4⋊C4—611no—
369C22×C4⋊C4—611no—
370C22×C4⋊C4—612no—
371C22×C4⋊C4—612no—
372C22×C4⋊C4—612no—
373C22×C4⋊C4—1228no—
374C22×C4⋊C4—1224no—
375C22×C4⋊C4C2×D6111yescharacteristic
376C22×C4⋊C4C2×D6112yes—
377C22×C22⋊C4—612no—
378C22×C22⋊C4—611no—
379C22×C22⋊C4—611no—
380C22×C42—612no—
381#385—1228no—
382#385—1228no—
383#384—1228no—
384#380—1224no—
385C4×C22⋊C4—618no—
386C2×#95—611no—
387C2×#95—612no—
388C2×#95—612no—
389C2×#95—612no—
390C2×#95—611no—
391C2×#95C2×D6112yes—
392C2×#95C2×D6111yescharacteristic
393C2×#95C2×D6111yescharacteristic
394C61#1388011yescharacteristic, complemented, Sylow
395C25—611no—
396C23×C4—611no—
397C23×C4—612no—
398C23×C4—614no—
399C23×C4—614no—
400C23×C4—614no—
401C23×C4—612no—
402C23×C4—611no—
403C23×C4—611no—
404C23×C4—1224no—
405C23×C4—1224no—
406C23×C4—1224no—
407C23×C4—1224no—
408C23×C4—1224no—
409C23×C4—1224no—
410C23×C4—1224no—
411C23×C4—2442no—
412C23×C4—2442no—
413C23×C4C22×D6111yescharacteristic
414C23×C4C22×D6111yescharacteristic
415C23×C4C22×D6112yes—
416C23×C4C22×D6112yes—
417C23×C4C22×D6111yescharacteristic
418C2×C4⋊C4—24no—
419C2×C4⋊C4—22no—
420C2×C4⋊C4—24no—
421C2×C4⋊C4—24no—
422C2×C4⋊C4—42no—
423C2×C4⋊C4—618no—
424C2×C4⋊C4—12232no—
425C2×C4⋊C4—1224no—
426C2×C4⋊C4—1224no—
427C2×C4⋊C4—1224no—
428C2×C4⋊C4—1222no—
429C2×C4⋊C4—1222no—
430C2×C4⋊C4—1222no—
431C2×C4⋊C4—1224no—
432C2×C4⋊C4—1224no—
433C2×C4⋊C4—1224no—
434C2×C4⋊C4—1224no—
435C2×C4⋊C4—1224no—
436C2×C4⋊C4—1224no—
437C2×C4⋊C4—1224no—
438C2×C4⋊C4—1224no—
439C2×C4⋊C4—2442no—
440C2×C4⋊C4—2442no—
441C2×C4⋊C4—2442no—
442C2×C22⋊C4—618no—
443C2×C22⋊C4—618no—
444C2×C22⋊C4—618no—
445C2×C22⋊C4—1222no—
446C2×C22⋊C4—1222no—
447C2×C22⋊C4—1224no—
448C2×C22⋊C4—1224no—
449C2×C42—618no—
450C2×C42—1224no—
451C2×C42—1224no—
452#95—22no—
453#95—24no—
454#95—614no—
455#95—1224no—
456#95—1224no—
457#95—1222no—
458#95—1224no—
459#95C4×D6114yescomplemented
460C24—612no—
461C24—614no—
462C24—612no—
463C24—614no—
464C24—612no—
465C24—1222no—
466C24—1222no—
467C24—1221no—
468C24—1221no—
469C24—1221no—
470C24—1221no—
471C24C23×D6111yescharacteristic
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—612no—
495C22×C4—614no—
496C22×C4—612no—
497C22×C4—612no—
498C22×C4—614no—
499C22×C4—614no—
500C22×C4—614no—
501C22×C4—614no—
502C22×C4—6116no—
503C22×C4—614no—
504C22×C4—1228no—
505C22×C4—12216no—
506C22×C4—12216no—
507C22×C4—1228no—
508C22×C4—12216no—
509C22×C4—1222no—
510C22×C4—1222no—
511C22×C4—1222no—
512C22×C4—1222no—
513C22×C4—1222no—
514C22×C4—1222no—
515C22×C4—1222no—
516C22×C4—1222no—
517C22×C4—1222no—
518C22×C4—1222no—
519C22×C4—1222no—
520C22×C4—1221no—
521C22×C4—1221no—
522C22×C4—1222no—
523C22×C4—1222no—
524C22×C4—1222no—
525C22×C4—1221no—
526C22×C4—1221no—
527C22×C4—1221no—
528C22×C4—1221no—
529C22×C4—2448no—
530C22×C4—2448no—
531C22×C4—2448no—
532C22×C4—2448no—
533C22×C4—2448no—
534C22×C4—2448no—
535C22×C4C2×C4×D6112yes—
536C22×C4C2×C4×D6114yes—
537C22×C4D4×D6114yes—
538C22×C4D4×D6112yes—
539C22×C4D4×D6114yes—
540C22×C4Q8×D6112yes—
541C22×C4Q8×D6114yes—
542C4⋊C4—28no—
543C4⋊C4—48no—
544C4⋊C4—12216no—
545C4⋊C4—1228no—
546C4⋊C4—2448no—
547C4⋊C4—2448no—
548C4⋊C4—2444no—
549C4⋊C4—2444no—
550C4⋊C4—2448no—
551C22⋊C4—6132no—
552C22⋊C4—2444no—
553C22⋊C4—2444no—
554C42—12216no—
555C23—618no—
556C23—614no—
557C23—614no—
558C23—618no—
559C23—614no—
560C23—1224no—
561C23—1224no—
562C23—1224no—
563C23—1222no—
564C23—1222no—
565C23—1222no—
566C23—1224no—
567C23—1222no—
568C23—1222no—
569C23—1222no—
570C23—1222no—
571C23—1222no—
572C23—1224no—
573C23—1224no—
574C23—1224no—
575C23—1224no—
576C23—1224no—
577C23—1224no—
578C23C22×C4×D6111yescharacteristic
579C23C2×D4×D6111yescharacteristic
580C23C2×D4×D6112yes—
581C23C2×D4×D6112yes—
582C23C2×Q8×D6112yes—
583C23C2×Q8×D6111yescharacteristic
584C23#41×D6112yes—
585C23#1451982211yescharacteristic
586C23#1451982311yescharacteristic
587C23#1451982411yescharacteristic
588C23#1451982511yescharacteristic
589C2×C4—24no—
590C2×C4—24no—
591C2×C4—24no—
592C2×C4—24no—
593C2×C4—22no—
594C2×C4—24no—
595C2×C4—22no—
596C2×C4—24no—
597C2×C4—24no—
598C2×C4—24no—
599C2×C4—24no—
600C2×C4—24no—
601C2×C4—24no—
602C2×C4—42no—
603C2×C4—42no—
604C2×C4—42no—
605C2×C4—42no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—41no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—42no—
613C2×C4—42no—
614C2×C4—42no—
615C2×C4—42no—
616C2×C4—614no—
617C2×C4—618no—
618C2×C4—614no—
619C2×C4—618no—
620C2×C4—614no—
621C2×C4—618no—
622C2×C4—12232no—
623C2×C4—1224no—
624C2×C4—1224no—
625C2×C4—1224no—
626C2×C4—1224no—
627C2×C4—1224no—
628C2×C4—1224no—
629C2×C4—1224no—
630C2×C4—1224no—
631C2×C4—1224no—
632C2×C4—24432no—
633C2×C4—2441no—
634C2×C4—2441no—
635C2×C4—2441no—
636C2×C4—2441no—
637C2×C4—2441no—
638C2×C4—2441no—
639C2×C4—2442no—
640C2×C4—2442no—
641C2×C4—2442no—
642C2×C4—2442no—
643C2×C4—2442no—
644C2×C4—2442no—
645C2×C4—2442no—
646C2×C4—2442no—
647C2×C4C4⋊C4×D6114yes—
648C2×C4C4⋊C4×D6118yescomplemented
649C22—618no—
650C22—1228no—
651C22—1228no—
652C22—1224no—
653C22—1228no—
654C22—1228no—
655C22—1224no—
656C22—1224no—
657C22—1224no—
658C22—1224no—
659C22—1224no—
660C22C2×C4⋊C4×D6112yes—
661C22C2×C4⋊C4×D6111yescharacteristic
662C22C4×D4×D6112yes—
663C22#1684024111yescharacteristic
664C22#1684024411yescharacteristic
665C22#120×D6111yescharacteristic
666C22C22⋊Q8×D6112yes—
667C22#123×D6111yescharacteristic
668C22#127×D6111yescharacteristic
669C22C4⋊Q8×D6112yes—
670C22C4⋊Q8×D6111yescharacteristic
671C22#1684032811yescharacteristic
672C22#1684033511yescharacteristic
673C22#1684038911yescharacteristic
674C22#1684039211yescharacteristic
675C22#1684039412yes—
676C22#1684039612yes—
677C22#1684041012yes—
678C22#1684041412yes—
679C22#1684042512yes—
680C22#1684042712yes—
681C22#1684046612yes—
682C22#1684046812yes—
683C4—28no—
684C4—24no—
685C4—44no—
686C4—81no—
687C4—81no—
688C4—618no—
689C4—1228no—
690C4—4881no—
691C4—4881no—
692C4—2444no—
693C2—1228no—
694C2#384×D6111yescharacteristic
695C2#385×D6111yescharacteristic
696C2#2144844111yescharacteristic
697C2#2144871712yes—
698C2#2144872012yes—
699C2#2144945111yescharacteristic
700C2#2144945811yescharacteristic
701C2#2144951412yes—
702C2#2144951612yes—
703C2#2145028511yescharacteristic
704C2#2145029211yescharacteristic
subgroupG/H
center, FrattiniC24C23×D61
commutatorC23×C61C23×C4
FittingC61×#1444C2
socle, cosocleC24×C61C24
prime radicalC24×D61C23
hypercenter#1444D61
hypocenterC61#13880
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C24 ◁ #1444

Complements

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

NH ≅ G/Ntype
4. C2×#16839631C2semidirect
7. #21444084C2semidirect
8. #21444083C2semidirect
9. #21444082C2semidirect
10. #21444047C2semidirect
11. C61×#1444C2semidirect
31. #16839609C4semidirect
88. C2×C4×Dic61C2×C4semidirect
93. #14519684C2×C4semidirect
106. #95×C61C2×C4semidirect
188. C2×C4×D61C4⋊C4semidirect
193. #11758198C4⋊C4semidirect
264. C2×C4×C61C2×C4⋊C4semidirect
289. C2×Dic61C2×C4⋊C4semidirect
330. C2×D61#384semidirect
340. Dic61#385semidirect
350. #1444D61semidirect
394. C61#13880semidirect
459. #95C4×D61semidirect
648. C2×C4C4⋊C4×D61semidirect

Maximal subgroups

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

subgroupindex
C22×C4⋊C4×D612
C2×#168396362
C2×#168396332
C2×#168396312
C2×#168396212
C2×#168396092
#214440842
#214440832
#214440822
#214440472
C61×#14442
#1388061