Finite Group Databasebeta

← C2×#21448744 #29839336

Subgroups — C2×#21448744 #29839336

Order 15616.

3894 conjugacy classes of subgroups.

The subgroup lattice has 644 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C4×C22⋊D61C211yesmaximal, characteristic
2C22×#14519735C211yesmaximal, characteristic, complemented
3#21448744C2116yesmaximal, direct product factor
4C2×#16839652C212yesmaximal, complemented
5C2×#16839643C212yesmaximal, complemented
6C2×#16839641C212yesmaximal
7C2×#16839627C211yesmaximal, characteristic, complemented
8C2×#16839622C211yesmaximal, characteristic, complemented
9C2×#16839619C211yesmaximal, characteristic, complemented
10C2×C4⋊C4×Dic61C211yesmaximal, characteristic, complemented
11C2×C4×C22⋊Dic61C212yesmaximal, complemented
12C23×C4⋊C4×C61C211yesmaximal, characteristic, complemented
13C23×C22⋊D61C2211yescharacteristic
14C23×C4×D61C2211yescharacteristic
15C2×C4×C22⋊D61C4116yescomplemented
16C2×C4×C22⋊D61C2218yes—
17C2×#14519735—28no—
18C2×#14519735C2218yescomplemented
19C22×C4⋊Dic61C2211yescharacteristic
20C22×C4⋊Dic61C2211yescharacteristic
21C22×#11758196C2211yescharacteristic
22C22×C22⋊Dic61C2212yes—
23C22×C22⋊Dic61C2211yescharacteristic
24C22×#11758198C2212yes—
25C22×#11758198C2212yes—
26C22×#11758198C2211yescharacteristic
27C22×C4×Dic61C2212yes—
28C22×C4×Dic61C2212yes—
29C22×C4×Dic61C2211yescharacteristic
30#16839652C22116yescomplemented
31#16839643C22116yescomplemented
32#16839641C22116yes—
33#16839627C2218yescomplemented
34#16839622C2218yescomplemented
35#16839619C2218yescomplemented
36C4⋊C4×Dic61C2218yescomplemented
37C4×C22⋊Dic61C22116yescomplemented
38C2×#14519684C2212yes—
39C2×#14519684C2212yes—
40C2×#14519684C2212yes—
41C2×#14519684C2212yes—
42C2×#14519684C2212yes—
43C24×C4×C61C2212yes—
44C24×C4×C61C2211yescharacteristic
45C22×C4⋊C4×C61—28no—
46C22×C4⋊C4×C61C2211yescharacteristic
47C22×C4⋊C4×C61C2212yes—
48C22×C4⋊C4×C61C2211yescharacteristic
49C22×C4⋊C4×C61C2218yescomplemented
50C24×D61C2311yescharacteristic
51C22×C22⋊D61—24no—
52C22×C22⋊D61—24no—
53C22×C22⋊D61C2×C418yes—
54C22×C22⋊D61C2314yes—
55C23×Dic61C2312yes—
56C23×Dic61C2312yes—
57C23×Dic61C2311yescharacteristic
58C23×Dic61C2311yescharacteristic
59C23×Dic61C2311yescharacteristic
60C22×C4×D61—24no—
61C22×C4×D61—24no—
62C22×C4×D61C2×C418yescomplemented
63C22×C4×D61C2314yes—
64C4×C22⋊D61C2×C4164yescomplemented
65#14519735—232no—
66C2×C4⋊Dic61—24no—
67C2×C4⋊Dic61—24no—
68C2×C4⋊Dic61C2314yes—
69C2×C4⋊Dic61C2314yes—
70C2×#11758196C2×C418yescomplemented
71C2×#11758196C2314yes—
72C2×C22⋊Dic61—28no—
73C2×C22⋊Dic61C2×C418yes—
74C2×C22⋊Dic61C2318yes—
75C2×C22⋊Dic61C2314yes—
76C2×#11758198—28no—
77C2×#11758198—44no—
78C2×#11758198C2×C418yescomplemented
79C2×#11758198C2318yes—
80C2×#11758198C2318yes—
81C2×#11758198C2314yes—
82C2×C4×Dic61—28no—
83C2×C4×Dic61—44no—
84C2×C4×Dic61C2×C418yescomplemented
85C2×C4×Dic61C2318yes—
86C2×C4×Dic61C2318yes—
87C2×C4×Dic61C2314yes—
88#14519684C2318yes—
89#14519684C2318yes—
90#14519684C2318yes—
91#14519684C2318yes—
92#14519684C2318yes—
93C25×C61C2311yescharacteristic
94C23×C4×C61—24no—
95C23×C4×C61—24no—
96C23×C4×C61—28no—
97C23×C4×C61—28no—
98C23×C4×C61—44no—
99C23×C4×C61C2×C418yes—
100C23×C4×C61C2312yes—
101C23×C4×C61C2318yes—
102C23×C4×C61C2311yescharacteristic
103C23×C4×C61C2314yes—
104C23×C4×C61C2312yes—
105C23×C4×C61C2311yescharacteristic
106C2×C4⋊C4×C61—28no—
107C2×C4⋊C4×C61—24no—
108C2×C4⋊C4×C61—232no—
109C2×C4⋊C4×C61D418yescomplemented
110C2×C4⋊C4×C61C2314yes—
111C2×C4⋊C4×C61C2318yes—
112C2×C4⋊C4×C61C2314yes—
113C24×C61—22no—
114C24×C61—22no—
115C24×C61—22no—
116C24×C61—22no—
117C24×C61C22×C414yes—
118C24×C61#4114yes—
119C24×C61#4114yes—
120C24×C61C2412yes—
121C24×C61C2411yescharacteristic
122C23×D61—22no—
123C23×D61—22no—
124C23×D61—22no—
125C23×D61—22no—
126C23×D61—22no—
127C23×D61—22no—
128C23×D61C22×C414yes—
129C23×D61C2412yes—
130C22×C4×C61—22no—
131C22×C4×C61—22no—
132C22×C4×C61—24no—
133C22×C4×C61—24no—
134C22×C4×C61—232no—
135C22×C4×C61—28no—
136C22×C4×C61—28no—
137C22×C4×C61—24no—
138C22×C4×C61—216no—
139C22×C4×C61—24no—
140C22×C4×C61—24no—
141C22×C4×C61—216no—
142C22×C4×C61—48no—
143C22×C4×C61—432no—
144C22×C4×C61C22×C414yes—
145C22×C4×C61C22×C4116yes—
146C22×C4×C61C22×C414yes—
147C22×C4×C61C2×D418yes—
148C22×C4×C61C2×D414yes—
149C22×C4×C61#4114yes—
150C22×C4×C61C2414yes—
151C22×C4×C61C2412yes—
152C22×C4×C61C2414yes—
153C22×C4×C61C2412yes—
154C2×C22⋊D61—232no—
155C2×C22⋊D61—28no—
156C2×C22⋊D61—28no—
157C2×C22⋊D61C22×C4116yes—
158C22×Dic61—22no—
159C22×Dic61—22no—
160C22×Dic61—22no—
161C22×Dic61—22no—
162C22×Dic61—22no—
163C22×Dic61—22no—
164C22×Dic61—24no—
165C22×Dic61—24no—
166C22×Dic61—24no—
167C22×Dic61—24no—
168C22×Dic61—24no—
169C22×Dic61—24no—
170C22×Dic61C22×C414yes—
171C22×Dic61C22×C414yes—
172C22×Dic61C22×C414yes—
173C22×Dic61C2414yes—
174C22×Dic61C2414yes—
175C22×Dic61C2412yes—
176C22×Dic61C2412yes—
177C22×Dic61C2412yes—
178C2×C4×D61—232no—
179C2×C4×D61—28no—
180C2×C4×D61—28no—
181C2×C4×D61C22×C4116yescomplemented
182C4⋊C4×C61—216no—
183C4⋊C4×C61—28no—
184C4⋊C4×C61C2×D4116yescomplemented
185C22⋊Dic61—216no—
186C22⋊Dic61C22×C4116yes—
187#11758198—216no—
188#11758198—48no—
189#11758198C22×C4116yescomplemented
190C4⋊Dic61—28no—
191C4⋊Dic61—28no—
192#11758196C22×C4116yescomplemented
193C4×Dic61—216no—
194C4×Dic61—48no—
195C4×Dic61C22×C4116yescomplemented
196C23×C61—28no—
197C23×C61—28no—
198C23×C61—28no—
199C23×C61—28no—
200C23×C61—28no—
201C23×C61—28no—
202C23×C61—22no—
203C23×C61—22no—
204C23×C61—22no—
205C23×C61—22no—
206C23×C61#117116yescomplemented
207C23×C61C23×C414yes—
208C23×C61C23×C412yes—
209C23×C61C22×D412yes—
210C23×C61C2×#4114yes—
211C23×C61C2×#4114yes—
212C23×C61C2×#4112yes—
213C23×C61C2×#4112yes—
214C23×C61C2×#4112yes—
215C23×C61H(5,𝔽2)12yes—
216C23×C612−1+412yes—
217C23×C61C2511yescharacteristic
218C22×D61—28no—
219C22×D61—28no—
220C22×D61—28no—
221C22×D61—22no—
222C22×D61—22no—
223C22×D61—22no—
224C22×D61—22no—
225C22×D61—22no—
226C22×D61—22no—
227C22×D61—44no—
228C22×D61—44no—
229C22×D61—44no—
230C22×D61—44no—
231C22×D61C23×C414yes—
232C2×C4×C61—28no—
233C2×C4×C61—216no—
234C2×C4×C61—22no—
235C2×C4×C61—22no—
236C2×C4×C61—24no—
237C2×C4×C61—24no—
238C2×C4×C61—232no—
239C2×C4×C61—24no—
240C2×C4×C61—24no—
241C2×C4×C61—24no—
242C2×C4×C61—432no—
243C2×C4×C61—48no—
244C2×C4×C61C4×D4116yes—
245C2×C4×C61C23×C414yes—
246C2×C4×C61C23×C414yes—
247C2×C4×C61C22×D418yes—
248C2×C4×C61C22×D414yes—
249C2×C4×C61C2×#4114yes—
250C22⋊D61—232no—
251C2×Dic61—28no—
252C2×Dic61—28no—
253C2×Dic61—28no—
254C2×Dic61—22no—
255C2×Dic61—22no—
256C2×Dic61—22no—
257C2×Dic61—22no—
258C2×Dic61—22no—
259C2×Dic61—22no—
260C2×Dic61—24no—
261C2×Dic61—24no—
262C2×Dic61—24no—
263C2×Dic61—24no—
264C2×Dic61—24no—
265C2×Dic61—24no—
266C2×Dic61—48no—
267C2×Dic61—48no—
268C2×Dic61C23×C414yes—
269C2×Dic61C23×C414yes—
270C2×Dic61C23×C414yes—
271C4×D61—232no—
272C2×#2352—611nomaximal, Sylow
273C22×C61—232no—
274C22×C61—24no—
275C22×C61—24no—
276C22×C61—24no—
277C22×C61—24no—
278C22×C61—24no—
279C22×C61—24no—
280C22×C61C2×#11714yes—
281C22×C61C2×#11718yescomplemented
282C22×C61C2×C4×D414yes—
283C22×C61#52014yes—
284C22×C61#54614yes—
285C22×C61#54814yes—
286C22×C61#55214yes—
287C22×C61#55314yes—
288C22×C61C24×C411yescharacteristic
289C22×C61C23×D411yescharacteristic
290C22×C61C22×#4111yescharacteristic
291C22×C61C22×#4111yescharacteristic
292C22×C61C22×#4111yescharacteristic
293C22×C61C2×H(5,𝔽2)11yescharacteristic
294C22×C61C2×2−1+411yescharacteristic
295C2×D61—24no—
296C2×D61—24no—
297C2×D61—24no—
298C2×D61—416no—
299C2×D61—42no—
300C2×D61—42no—
301C2×D61—42no—
302C2×D61—42no—
303C4×C61—24no—
304C4×C61—28no—
305C4×C61—44no—
306C4×C61C2×C4×D418yes—
307Dic61—24no—
308Dic61—24no—
309Dic61—24no—
310Dic61—44no—
311Dic61—44no—
312C22×C4×D4—611no—
313C22×#117—611no—
314C23×C4⋊C4D6111yescharacteristic, complemented
315#2352—6116no—
316C2×#388—612no—
317C2×#387—612no—
318C2×#386—612no—
319C2×#382—611no—
320C2×#380—611no—
321C2×#380—611no—
322C2×C4×C4⋊C4—611no—
323C2×C4×C22⋊C4—612no—
324C2×C61—28no—
325C2×C61#235218yescomplemented
326C2×C61C22×#11711yescharacteristic
327C2×C61C22×C4×D411yescharacteristic
328C2×C61C2×#52011yescharacteristic
329C2×C61C2×#54611yescharacteristic
330C2×C61C2×#54811yescharacteristic
331C2×C61C2×#55211yescharacteristic
332C2×C61C2×#55311yescharacteristic
333D61—44no—
334C23×D4—611no—
335C24×C4—611no—
336C24×C4C2×D6112yes—
337C24×C4C2×D6111yescharacteristic
338C2×C4×D4—6116no—
339C2×C4×D4—618no—
340C2×#117—618no—
341C2×#117—1228no—
342C22×C4⋊C4—28no—
343C22×C4⋊C4—611no—
344C22×C4⋊C4—611no—
345C22×C4⋊C4—611no—
346C22×C4⋊C4C2×D6111yescharacteristic
347C22×C4⋊C4C2×D6112yes—
348C22×C4⋊C4C2×D6111yescharacteristic
349C22×C4⋊C4C2×D6118yescomplemented
350C22×C22⋊C4—611no—
351C22×C22⋊C4—611no—
352C22×C22⋊C4—612no—
353C22×C22⋊C4—612no—
354C22×C22⋊C4—612no—
355C22×C42—611no—
356C22×C42—612no—
357C22×C42—612no—
358#388—6116no—
359#387—6116no—
360#386—6116no—
361#382—618no—
362#380—618no—
363#380—618no—
364C4×C4⋊C4—618no—
365C4×C22⋊C4—6116no—
366C2×#95—612no—
367C2×#95—612no—
368C2×#95—612no—
369C2×#95—612no—
370C2×#95—612no—
371C61C2×#235211yescharacteristic, complemented, Sylow
372C25—611no—
373C25C22×D6111yescharacteristic
374C22×D4—618no—
375C22×D4—614no—
376C22×D4—1224no—
377C22×D4—1224no—
378C23×C4—24no—
379C23×C4—24no—
380C23×C4—28no—
381C23×C4—28no—
382C23×C4—44no—
383C23×C4—611no—
384C23×C4—611no—
385C23×C4—611no—
386C23×C4—618no—
387C23×C4—614no—
388C23×C4—612no—
389C23×C4—612no—
390C23×C4—1224no—
391C23×C4—1224no—
392C23×C4C4×D6118yes—
393C23×C4C22×D6112yes—
394C23×C4C22×D6118yes—
395C23×C4C22×D6114yes—
396C23×C4C22×D6111yescharacteristic
397C23×C4C22×D6112yes—
398C23×C4C22×D6111yescharacteristic
399C4×D4—6164no—
400#117—12232no—
401C2×C4⋊C4—28no—
402C2×C4⋊C4—24no—
403C2×C4⋊C4—232no—
404C2×C4⋊C4—618no—
405C2×C4⋊C4—614no—
406C2×C4⋊C4—614no—
407C2×C4⋊C4—614no—
408C2×C4⋊C4—1224no—
409C2×C4⋊C4—1224no—
410C2×C4⋊C4C22⋊D6118yescomplemented
411C2×C4⋊C4C22×D6114yes—
412C2×C4⋊C4C22×D6118yes—
413C2×C4⋊C4C22×D6114yes—
414C2×C22⋊C4—618no—
415C2×C22⋊C4—614no—
416C2×C22⋊C4—618no—
417C2×C22⋊C4—614no—
418C2×C22⋊C4—618no—
419C2×C22⋊C4—618no—
420C2×C22⋊C4—618no—
421C2×C22⋊C4—1228no—
422C2×C22⋊C4—1228no—
423C2×C22⋊C4—2444no—
424C2×C42—618no—
425C2×C42—614no—
426C2×C42—618no—
427C2×C42—618no—
428C2×C42—1228no—
429C2×C42—2444no—
430#95—618no—
431#95—618no—
432#95—618no—
433#95—618no—
434#95—618no—
435C24—22no—
436C24—22no—
437C24—22no—
438C24—22no—
439C24—614no—
440C24—612no—
441C24—1222no—
442C24—1222no—
443C24—1222no—
444C24—1222no—
445C24—1222no—
446C24—1222no—
447C24C2×C4×D6114yes—
448C24#1175822414yes—
449C24#1175822614yes—
450C24C23×D6112yes—
451C24C23×D6111yescharacteristic
452C2×D4—6116no—
453C2×D4—1228no—
454C2×D4—1228no—
455C2×D4—12232no—
456C22×C4—22no—
457C22×C4—24no—
458C22×C4—22no—
459C22×C4—24no—
460C22×C4—28no—
461C22×C4—28no—
462C22×C4—232no—
463C22×C4—24no—
464C22×C4—216no—
465C22×C4—24no—
466C22×C4—24no—
467C22×C4—216no—
468C22×C4—48no—
469C22×C4—432no—
470C22×C4—614no—
471C22×C4—614no—
472C22×C4—614no—
473C22×C4—612no—
474C22×C4—612no—
475C22×C4—612no—
476C22×C4—6116no—
477C22×C4—614no—
478C22×C4—614no—
479C22×C4—1222no—
480C22×C4—1222no—
481C22×C4—1222no—
482C22×C4—1222no—
483C22×C4—1222no—
484C22×C4—1222no—
485C22×C4—1228no—
486C22×C4—1228no—
487C22×C4—12232no—
488C22×C4—1224no—
489C22×C4—1224no—
490C22×C4—1224no—
491C22×C4—1224no—
492C22×C4—1224no—
493C22×C4—1224no—
494C22×C4C2×C4×D6114yes—
495C22×C4C2×C4×D61116yes—
496C22×C4C2×C4×D6114yes—
497C22×C4#1175822214yes—
498C22×C4C2×C22⋊D6118yes—
499C22×C4C2×C22⋊D6114yes—
500C22×C4C23×D6114yes—
501C22×C4C23×D6112yes—
502C22×C4C23×D6114yes—
503C22×C4C23×D6112yes—
504C4⋊C4—216no—
505C4⋊C4—28no—
506C4⋊C4—6116no—
507C4⋊C4—1228no—
508C4⋊C4—1228no—
509C4⋊C4C2×C22⋊D61116yescomplemented
510C22⋊C4—6116no—
511C22⋊C4—6116no—
512C22⋊C4—12216no—
513C22⋊C4—12216no—
514C22⋊C4—2448no—
515C42—6116no—
516C42—12216no—
517C42—2448no—
518C23—28no—
519C23—28no—
520C23—28no—
521C23—22no—
522C23—22no—
523C23—22no—
524C23—22no—
525C23—28no—
526C23—28no—
527C23—28no—
528C23—614no—
529C23—1228no—
530C23—1228no—
531C23—1228no—
532C23—1222no—
533C23—1222no—
534C23—1222no—
535C23—1222no—
536C23—1222no—
537C23—1222no—
538C23—2444no—
539C23—2444no—
540C23—2444no—
541C23—2444no—
542C23#14519735116yescomplemented
543C23C22×C4×D6114yes—
544C23C22×C4×D6112yes—
545C23C22×C22⋊D6112yes—
546C23C2×#1175822414yes—
547C23C2×#1175822412yes—
548C23C2×#1175822212yes—
549C23C2×#1175822614yes—
550C23C2×#1175822612yes—
551C23#1451982212yes—
552C23#1451982512yes—
553C23C24×D6111yescharacteristic
554D4—12232no—
555C2×C4—28no—
556C2×C4—22no—
557C2×C4—24no—
558C2×C4—22no—
559C2×C4—24no—
560C2×C4—216no—
561C2×C4—232no—
562C2×C4—24no—
563C2×C4—24no—
564C2×C4—24no—
565C2×C4—432no—
566C2×C4—48no—
567C2×C4—614no—
568C2×C4—614no—
569C2×C4—614no—
570C2×C4—1228no—
571C2×C4—1228no—
572C2×C4—1228no—
573C2×C4—1222no—
574C2×C4—1222no—
575C2×C4—1222no—
576C2×C4—1222no—
577C2×C4—1222no—
578C2×C4—1222no—
579C2×C4—12232no—
580C2×C4—1224no—
581C2×C4—1224no—
582C2×C4—1224no—
583C2×C4—1224no—
584C2×C4—1224no—
585C2×C4—1224no—
586C2×C4—2448no—
587C2×C4—2448no—
588C2×C4C4×C22⋊D61116yes—
589C2×C4C22×C4×D6114yes—
590C2×C4C22×C4×D6114yes—
591C2×C4C22×C22⋊D6118yes—
592C2×C4C22×C22⋊D6114yes—
593C2×C4C2×#1175822214yes—
594C22—232no—
595C22—24no—
596C22—24no—
597C22—24no—
598C22—24no—
599C22—24no—
600C22—24no—
601C22—1224no—
602C22—1224no—
603C22—1224no—
604C22—24416no—
605C22—2442no—
606C22—2442no—
607C22—2442no—
608C22—2442no—
609C22C2×#1451973514yes—
610C22C2×#1451973518yescomplemented
611C22C2×C4×C22⋊D6114yes—
612C22#1684024314yes—
613C22#1684040614yes—
614C22#1684042314yes—
615C22#1684044714yes—
616C22#1684046014yes—
617C22C23×C4×D6111yescharacteristic
618C22C23×C22⋊D6111yescharacteristic
619C22C22×#1175822411yescharacteristic
620C22C22×#1175822211yescharacteristic
621C22C22×#1175822611yescharacteristic
622C22C2×#1451982211yescharacteristic
623C22C2×#1451982511yescharacteristic
624C4—24no—
625C4—28no—
626C4—44no—
627C4—1224no—
628C4—1224no—
629C4—1224no—
630C4—2444no—
631C4—2444no—
632C4C2×C4×C22⋊D6118yes—
633C2—28no—
634C2—2444no—
635C2#2144874418yesdirect product factor
636C2C22×#1451973511yescharacteristic
637C2C22×C4×C22⋊D6111yescharacteristic
638C2C2×#1684024311yescharacteristic
639C2C2×#1684040611yescharacteristic
640C2C2×#1684042311yescharacteristic
641C2C2×#1684044711yescharacteristic
642C2C2×#1684046011yescharacteristic
subgroupG/H
centerC24C23×D61
commutatorC22×C61C24×C4
FrattiniC23C24×D61
FittingC23×C4⋊C4×C61C2
socleC24×C61C24
prime radicalC23×C22⋊D61C22
cosocleC23×C61C25
hypercenterC23×C4⋊C4D61
hypocenterC61C2×#2352
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C24 ◁ C23×C4⋊C4

Complements

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

NH ≅ G/Ntype
2. C22×#14519735C2semidirect
3. #21448744C2direct (N × H)
4. C2×#16839652C2semidirect
5. C2×#16839643C2semidirect
7. C2×#16839627C2semidirect
8. C2×#16839622C2semidirect
9. C2×#16839619C2semidirect
10. C2×C4⋊C4×Dic61C2semidirect
11. C2×C4×C22⋊Dic61C2semidirect
12. C23×C4⋊C4×C61C2semidirect
15. C2×C4×C22⋊D61C4semidirect
18. C2×#14519735C22semidirect
30. #16839652C22semidirect
31. #16839643C22semidirect
33. #16839627C22semidirect
34. #16839622C22semidirect
35. #16839619C22semidirect
36. C4⋊C4×Dic61C22semidirect
37. C4×C22⋊Dic61C22semidirect
49. C22×C4⋊C4×C61C22semidirect
62. C22×C4×D61C2×C4semidirect
64. C4×C22⋊D61C2×C4semidirect
70. C2×#11758196C2×C4semidirect
78. C2×#11758198C2×C4semidirect
84. C2×C4×Dic61C2×C4semidirect
109. C2×C4⋊C4×C61D4semidirect
181. C2×C4×D61C22×C4semidirect
184. C4⋊C4×C61C2×D4semidirect
189. #11758198C22×C4semidirect
192. #11758196C22×C4semidirect
195. C4×Dic61C22×C4semidirect
206. C23×C61#117semidirect
281. C22×C61C2×#117semidirect
314. C23×C4⋊C4D61semidirect
325. C2×C61#2352semidirect
349. C22×C4⋊C4C2×D61semidirect
371. C61C2×#2352semidirect
410. C2×C4⋊C4C22⋊D61semidirect
509. C4⋊C4C2×C22⋊D61semidirect
542. C23#14519735semidirect
610. C22C2×#14519735semidirect
635. C2#21448744direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C4×C22⋊D612
C22×#145197352
#214487442
C2×#168396522
C2×#168396432
C2×#168396412
C2×#168396272
C2×#168396222
C2×#168396192
C2×C4⋊C4×Dic612
C2×C4×C22⋊Dic612
C23×C4⋊C4×C612
C2×#235261