Finite Group Databasebeta

← #29840251

Subgroups — #29840251

Order 15616.

2350 conjugacy classes of subgroups.

The subgroup lattice has 700 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C4×Q8×D61C211yesmaximal, characteristic
2#21448777C212yesmaximal, complemented
3#21448776C211yesmaximal, characteristic, complemented
4#21448771C212yesmaximal, complemented
5C4⋊C4×Dic122C211yesmaximal, characteristic, complemented
6#21448731C211yesmaximal, characteristic, complemented
7#21448685C214yesmaximal
8#21448684C212yesmaximal
9#21448653C212yesmaximal
10#21448468C214yesmaximal, complemented
11#21448464C212yesmaximal, complemented
12#21448224C211yesmaximal, characteristic
13#21448223C212yesmaximal
14#21448215C211yesmaximal, characteristic
15#21448212C212yesmaximal
16#21448183C212yesmaximal, complemented
17C61×#2355C211yesmaximal, characteristic, complemented
18C22×Q8×D61C2211yescharacteristic
19C2×Q8×Dic61C2211yescharacteristic
20C2×C4×Dic122C2212yes—
21C2×C4×Dic122C2211yescharacteristic
22C2×C4×Dic122C2212yes—
23C2×#14519742C2212yes—
24C2×#14519742C2212yes—
25C2×#14519742C2211yescharacteristic
26C4×Q8×D61C4116yescomplemented
27C2×#14519735C2212yes—
28C2×#14519734C2214yes—
29C2×C4⋊C4×D61C2211yescharacteristic
30C2×C4⋊C4×D61C2212yes—
31C2×C42×D61C2212yes—
32C2×C42×D61C2211yescharacteristic
33#16839669C2212yes—
34#16839666C2214yes—
35#16839666C2214yes—
36#16839660C2212yes—
37#16839659C2214yes—
38#16839658C2212yes—
39#16839657C2214yes—
40#16839648C2214yes—
41#16839647C2214yes—
42#16839646C2214yes—
43#16839645C2214yes—
44#16839644C2214yes—
45#16839632C2211yescharacteristic
46#16839631C2212yes—
47#16839631C2212yes—
48#16839629C2214yes—
49#16839629C2212yes—
50#16839628C2212yes—
51#16839627C2212yes—
52#16839627C2211yescharacteristic
53#16839627C2211yescharacteristic
54#16839626C2214yes—
55#16839624C2214yes—
56#16839624C2212yes—
57#16839621C2214yes—
58#16839619C2211yescharacteristic
59#16839619C2212yes—
60#16839619C2211yescharacteristic
61#16839619C2212yes—
62C4⋊C4×Dic61C2212yes—
63C4⋊C4×Dic61C2212yes—
64C4⋊C4×Dic61C2212yes—
65C4⋊C4×Dic61C2212yes—
66C4⋊C4×Dic61C2212yes—
67C4×#11758196C2214yes—
68C4×#11758196C2214yes—
69C4×C4⋊Dic61C2211yescharacteristic
70C4×C4⋊Dic61C2212yes—
71#16839613C2214yes—
72C4×#11758198C2212yes—
73#16839609C2214yes—
74#16839608C2212yes—
75#16839607C2214yes—
76C2×C4×Q8×C61C2211yescharacteristic
77C61×#391C2212yes—
78C61×#387C2214yes—
79C61×#384C2211yescharacteristic
80C61×#382C2212yes—
81C4×C4⋊C4×C61C2211yescharacteristic
82C4×C4⋊C4×C61C2212yes—
83C4×C4⋊C4×C61C2212yes—
84C22×Dic122C2312yes—
85C22×Dic122C2311yescharacteristic
86C2×Q8×D61—24no—
87C2×Q8×D61—24no—
88C2×Q8×D61C2×C418yes—
89C22×C4×D61C2311yescharacteristic
90C22×C4×D61C2312yes—
91C22×C4×D61C2311yescharacteristic
92C22×C4×D61C2312yes—
93C22×C4×D61C2311yescharacteristic
94Q8×Dic61C2×C418yes—
95C4×Dic122—28no—
96C4×Dic122C2×C4116yes—
97C4×Dic122C2×C418yes—
98#14519742—28no—
99#14519742C2×C4116yes—
100#14519742C2×C418yes—
101#14519735—44no—
102#14519734—48no—
103C2×C4⋊Dic61C2312yes—
104C2×C4⋊Dic61C2311yescharacteristic
105C2×C4⋊Dic61C2311yescharacteristic
106C2×C4⋊Dic61C2312yes—
107C2×C4⋊Dic61C2312yes—
108C2×C4⋊Dic61C2312yes—
109C2×C4⋊Dic61C2311yescharacteristic
110C2×#11758196C2314yes—
111C2×#11758196C2314yes—
112C2×#11758196C2314yes—
113C2×#11758196C2314yes—
114C2×#11758196C2312yes—
115C2×#11758196C2312yes—
116C2×#11758196C2312yes—
117C4⋊C4×D61C2×C418yes—
118C4⋊C4×D61C2×C4116yes—
119C2×#11758198C2312yes—
120C2×#11758198C2314yes—
121C2×#11758198C2312yes—
122C2×C4×Dic61C2314yes—
123C2×C4×Dic61C2312yes—
124C2×C4×Dic61C2314yes—
125C2×C4×Dic61C2314yes—
126C2×C4×Dic61C2314yes—
127C2×C4×Dic61C2312yes—
128C2×C4×Dic61C2311yescharacteristic
129C2×C4×Dic61C2311yescharacteristic
130C2×C4×Dic61C2312yes—
131C2×C4×Dic61C2311yescharacteristic
132C2×C4×Dic61C2312yes—
133C42×D61C2×C4116yes—
134C42×D61C2×C418yes—
135#14519684C2312yes—
136#14519684C2314yes—
137#14519684C2314yes—
138#14519684C2312yes—
139#14519684C2312yes—
140#14519684C2312yes—
141#14519684C2314yes—
142#14519684C2312yes—
143#14519684C2312yes—
144#14519684C2314yes—
145#14519684C2312yes—
146#14519684C2314yes—
147#14519684C2314yes—
148#14519684C2314yes—
149C22×Q8×C61C2311yescharacteristic
150C4×Q8×C61C2×C418yes—
151C2×C4⋊C4×C61C2312yes—
152C2×C4⋊C4×C61C2311yescharacteristic
153C2×C4⋊C4×C61C2311yescharacteristic
154C2×C4⋊C4×C61C2312yes—
155C2×C4⋊C4×C61C2312yes—
156C2×C4⋊C4×C61C2311yescharacteristic
157C2×C4⋊C4×C61C2312yes—
158C2×C42×C61C2312yes—
159C2×C42×C61C2314yes—
160C2×C42×C61C2312yes—
161C2×C42×C61C2311yescharacteristic
162#95×C61C2314yes—
163#95×C61C2312yes—
164#95×C61C2314yes—
165#95×C61C2314yes—
166C23×D61C2411yescharacteristic
167C2×Q8×C61—22no—
168C2×Q8×C61—22no—
169C2×Q8×C61C22×C414yes—
170C22×C4×C61C2412yes—
171C22×C4×C61C2412yes—
172C22×C4×C61C2414yes—
173C22×C4×C61C2412yes—
174C22×C4×C61C2412yes—
175C22×C4×C61C2411yescharacteristic
176C22×C4×C61C2411yescharacteristic
177C22×C4×C61C2411yescharacteristic
178C22×Dic61C2412yes—
179C22×Dic61C2412yes—
180C22×Dic61C2414yes—
181C22×Dic61C2411yescharacteristic
182C22×Dic61C2411yescharacteristic
183C22×Dic61C2411yescharacteristic
184C22×Dic61C2412yes—
185C22×Dic61C2412yes—
186Q8×D61—232no—
187C2×C4×D61—24no—
188C2×C4×D61—22no—
189C2×C4×D61—24no—
190C2×C4×D61—22no—
191C2×C4×D61—22no—
192C2×C4×D61—22no—
193C2×C4×D61—22no—
194C2×C4×D61—22no—
195C2×C4×D61—24no—
196C2×C4×D61—24no—
197C2×C4×D61C22×C414yes—
198C2×C4×D61C22×C418yes—
199C2×C4×D61C22×C414yes—
200C2×C4×D61C22×C418yes—
201C2×C4×D61C22×C414yes—
202C2×Dic122—24no—
203C2×Dic122—24no—
204C2×Dic122C22×C418yes—
205C2×Dic122C22×C414yes—
206C2×Dic122#4114yes—
207C2×Dic122#4114yes—
208C4⋊C4×C61—24no—
209C4⋊C4×C61—22no—
210C4⋊C4×C61—24no—
211C4⋊C4×C61—22no—
212C4⋊C4×C61—42no—
213C4⋊C4×C61C22×C418yes—
214C4⋊C4×C61C22×C414yes—
215C42×C61—24no—
216C42×C61—44no—
217C42×C61C22×C418yes—
218C42×C61C22×C414yes—
219#11758198—24no—
220#11758198—28no—
221#11758198—24no—
222C4⋊Dic61—24no—
223C4⋊Dic61—22no—
224C4⋊Dic61—22no—
225C4⋊Dic61—24no—
226C4⋊Dic61—42no—
227C4⋊Dic61C22×C418yes—
228C4⋊Dic61C22×C414yes—
229#11758196—28no—
230#11758196—28no—
231#11758196—44no—
232#11758196—44no—
233#11758196C22×C418yes—
234#11758196C22×C418yes—
235#11758196C22×C418yes—
236C4×Dic61—24no—
237C4×Dic61—28no—
238C4×Dic61—28no—
239C4×Dic61—44no—
240C4×Dic61—44no—
241C4×Dic61C22×C414yes—
242C4×Dic61C22×C418yes—
243C4×Dic61C22×C418yes—
244C4×Dic61C22×C414yes—
245C4×Dic61C22×C414yes—
246C4×Dic61C22×C418yes—
247C23×C61C2511yescharacteristic
248C22×D61—21no—
249C22×D61—21no—
250C22×D61—21no—
251C22×D61—21no—
252C22×D61C23×C412yes—
253C22×D61H(5,𝔽2)12yes—
254C22×D612−1+412yes—
255Q8×C61—28no—
256C2×C4×C61—22no—
257C2×C4×C61—22no—
258C2×C4×C61—22no—
259C2×C4×C61—21no—
260C2×C4×C61—22no—
261C2×C4×C61—21no—
262C2×C4×C61—22no—
263C2×C4×C61—24no—
264C2×C4×C61—22no—
265C2×C4×C61—24no—
266C2×C4×C61—22no—
267C2×C4×C61—22no—
268C2×C4×C61—24no—
269C2×C4×C61—22no—
270C2×C4×C61—22no—
271C2×C4×C61C23×C414yes—
272C2×C4×C61C23×C412yes—
273C2×C4×C61C23×C414yes—
274C2×C4×C61C23×C412yes—
275C2×C4×C61C23×C412yes—
276C2×C4×C61C2×#4112yes—
277C2×C4×C61C2×#4112yes—
278C2×C4×C612−1+412yes—
279C2×C4×C612−1+412yes—
280C2×Dic61—21no—
281C2×Dic61—21no—
282C2×Dic61—21no—
283C2×Dic61—22no—
284C2×Dic61—21no—
285C2×Dic61—21no—
286C2×Dic61—21no—
287C2×Dic61—22no—
288C2×Dic61—22no—
289C2×Dic61—22no—
290C2×Dic61—24no—
291C2×Dic61—22no—
292C2×Dic61—24no—
293C2×Dic61—22no—
294C2×Dic61—24no—
295C2×Dic61—22no—
296C2×Dic61—22no—
297C2×Dic61C23×C412yes—
298C2×Dic61C23×C412yes—
299C2×Dic61C23×C414yes—
300C2×Dic61C23×C412yes—
301C2×Dic61C23×C414yes—
302C2×Dic61C2×#4114yes—
303C2×Dic61C2×#4114yes—
304C4×D61—216no—
305C4×D61—28no—
306C4×D61—28no—
307C4×D61—28no—
308C4×D61—216no—
309Dic122—216no—
310Dic122#117116yescomplemented
311#34196—611nomaximal, Sylow
312C22×C61C24×C411yescharacteristic
313C22×C61C22×#4111yescharacteristic
314C22×C61C22×#4111yescharacteristic
315C22×C61C2×H(5,𝔽2)11yescharacteristic
316C22×C61C2×2−1+411yescharacteristic
317C22×C61C2×2−1+411yescharacteristic
318C22×C61C2×2−1+411yescharacteristic
319C2×D61—22no—
320C2×D61—22no—
321C2×D61—22no—
322C2×D61—22no—
323C2×D61—22no—
324C2×D61—22no—
325C2×D61#52014yes—
326C4×C61—24no—
327C4×C61—24no—
328C4×C61—22no—
329C4×C61—44no—
330C4×C61—42no—
331C4×C61—42no—
332C4×C61C2×#11714yes—
333C4×C61#51914yes—
334Dic61—22no—
335Dic61—22no—
336Dic61—22no—
337Dic61—24no—
338Dic61—42no—
339Dic61—44no—
340Dic61—42no—
341Dic61C2×#11718yes—
342C22×C4×Q8—611no—
343#2355—612no—
344#2355—612no—
345#2355—611no—
346#2355D6111yescharacteristic, complemented
347Q8×C4⋊C4—611no—
348Q8×C4⋊C4—611no—
349#2344—614no—
350#2344—612no—
351Q8×C22⋊C4—612no—
352#2320—612no—
353#2320—614no—
354#2285—611no—
355#2285—612no—
356#2283—612no—
357#2283—611no—
358#2276—612no—
359C2×C61C22×#11711yescharacteristic
360C2×C61C2×#51911yescharacteristic
361C2×C61C2×#52011yescharacteristic
362C2×C61#352211yescharacteristic
363C2×C61#352211yescharacteristic
364C2×C61#352311yescharacteristic
365C2×C61#352311yescharacteristic
366D61—24no—
367C23×Q8—611no—
368C2×C4×Q8—611no—
369C2×C4×Q8—6116no—
370C2×C4×Q8—612no—
371C2×C4×Q8—611no—
372C2×C4×Q8—612no—
373C2×C4×Q8—611no—
374C2×C4×Q8—612no—
375C2×C4×Q8—612no—
376C2×C4×Q8C2×D6111yescharacteristic
377C2×#117—612no—
378C2×#117—614no—
379C22×C4⋊C4—612no—
380C22×C4⋊C4—611no—
381C22×C42—611no—
382C22×C42—612no—
383#391—612no—
384#391—614no—
385#391—614no—
386#391C2×D6112yes—
387#389—614no—
388#389—612no—
389#389—612no—
390#389—614no—
391#387—614no—
392#387—614no—
393#387—614no—
394#387—614no—
395#387—614no—
396#387C2×D6114yes—
397#384—612no—
398#384—612no—
399#384—611no—
400#384C2×D6111yescharacteristic
401#383—612no—
402#383—614no—
403#382—612no—
404#382—611no—
405#382—611no—
406#382—612no—
407#382—614no—
408#382C2×D6112yes—
409#381—612no—
410#381—614no—
411#380—612no—
412#380—611no—
413#380—612no—
414#380—611no—
415#380—614no—
416C4×C4⋊C4—612no—
417C4×C4⋊C4—612no—
418C4×C4⋊C4—612no—
419C4×C4⋊C4—612no—
420C4×C4⋊C4—612no—
421C4×C4⋊C4—614no—
422C4×C4⋊C4—614no—
423C4×C4⋊C4—611no—
424C4×C4⋊C4—612no—
425C4×C4⋊C4—614no—
426C4×C4⋊C4C2×D6112yes—
427C4×C4⋊C4C2×D6111yescharacteristic
428C4×C4⋊C4C2×D6112yes—
429C4×C22⋊C4—612no—
430C4×C22⋊C4—614no—
431#376—612no—
432#376—614no—
433C61#3419611yescharacteristic, complemented, Sylow
434C22×Q8—618no—
435C22×Q8—611no—
436C22×Q8—612no—
437C22×Q8—1224no—
438C22×Q8—1224no—
439C22×Q8C22×D6111yescharacteristic
440C23×C4—611no—
441C23×C4—612no—
442C23×C4—612no—
443C23×C4—611no—
444C23×C4—611no—
445C4×Q8—618no—
446C4×Q8—618no—
447C4×Q8—6116no—
448C4×Q8—618no—
449C4×Q8—6116no—
450C4×Q8—1228no—
451C4×Q8—1228no—
452C4×Q8C4×D6118yes—
453#117—2448no—
454#117—2444no—
455C2×C4⋊C4—612no—
456C2×C4⋊C4—612no—
457C2×C4⋊C4—612no—
458C2×C4⋊C4—612no—
459C2×C4⋊C4—611no—
460C2×C4⋊C4—6116no—
461C2×C4⋊C4—618no—
462C2×C4⋊C4—614no—
463C2×C4⋊C4—614no—
464C2×C4⋊C4—612no—
465C2×C4⋊C4—611no—
466C2×C4⋊C4—611no—
467C2×C4⋊C4—612no—
468C2×C4⋊C4—614no—
469C2×C4⋊C4—614no—
470C2×C4⋊C4—612no—
471C2×C4⋊C4C22×D6112yes—
472C2×C4⋊C4C22×D6111yescharacteristic
473C2×C4⋊C4C22×D6112yes—
474C2×C4⋊C4C22×D6111yescharacteristic
475C2×C4⋊C4C22×D6112yes—
476C2×C4⋊C4C22×D6111yescharacteristic
477C2×C4⋊C4C22×D6112yes—
478C2×C22⋊C4—614no—
479C2×C22⋊C4—612no—
480C2×C22⋊C4—612no—
481C2×C42—612no—
482C2×C42—611no—
483C2×C42—611no—
484C2×C42—612no—
485C2×C42—611no—
486C2×C42—612no—
487C2×C42—6116no—
488C2×C42—618no—
489C2×C42—614no—
490C2×C42—614no—
491C2×C42—612no—
492C2×C42—614no—
493C2×C42—614no—
494C2×C42C22×D6112yes—
495C2×C42C22×D6114yes—
496C2×C42C22×D6112yes—
497C2×C42C22×D6111yescharacteristic
498#95—612no—
499#95—614no—
500#95—612no—
501#95—612no—
502#95—612no—
503#95—614no—
504#95—612no—
505#95—612no—
506#95—614no—
507#95—614no—
508#95—614no—
509#95—614no—
510#95—614no—
511#95—612no—
512#95C22×D6114yes—
513#95C22×D6114yes—
514#95C22×D6114yes—
515#95C22×D6112yes—
516C24—611no—
517C2×Q8—22no—
518C2×Q8—22no—
519C2×Q8—614no—
520C2×Q8—618no—
521C2×Q8—614no—
522C2×Q8—614no—
523C2×Q8—1224no—
524C2×Q8—1224no—
525C2×Q8—12232no—
526C2×Q8C2×C4×D6114yes—
527C22×C4—612no—
528C22×C4—611no—
529C22×C4—611no—
530C22×C4—611no—
531C22×C4—612no—
532C22×C4—614no—
533C22×C4—614no—
534C22×C4—618no—
535C22×C4—618no—
536C22×C4—614no—
537C22×C4—612no—
538C22×C4—612no—
539C22×C4—614no—
540C22×C4—1224no—
541C22×C4—1224no—
542C22×C4—1224no—
543C22×C4—1222no—
544C22×C4—1224no—
545C22×C4—1222no—
546C22×C4—1222no—
547C22×C4—1222no—
548C22×C4—1222no—
549C22×C4—1222no—
550C22×C4C23×D6112yes—
551C22×C4C23×D6114yes—
552C22×C4C23×D6112yes—
553C22×C4C23×D6112yes—
554C22×C4C23×D6112yes—
555C22×C4C23×D6111yescharacteristic
556C22×C4C23×D6111yescharacteristic
557C22×C4C23×D6111yescharacteristic
558C4⋊C4—24no—
559C4⋊C4—22no—
560C4⋊C4—24no—
561C4⋊C4—22no—
562C4⋊C4—42no—
563C4⋊C4—618no—
564C4⋊C4—618no—
565C4⋊C4—618no—
566C4⋊C4—618no—
567C4⋊C4—614no—
568C4⋊C4—1228no—
569C4⋊C4—1228no—
570C4⋊C4—1224no—
571C4⋊C4—1222no—
572C4⋊C4—1222no—
573C4⋊C4—1224no—
574C4⋊C4—2444no—
575C4⋊C4—2444no—
576C4⋊C4—2442no—
577C4⋊C4C2×C4×D6118yes—
578C4⋊C4C2×C4×D6114yes—
579C22⋊C4—1224no—
580C22⋊C4—1228no—
581C22⋊C4—1224no—
582C42—24no—
583C42—44no—
584C42—618no—
585C42—618no—
586C42—618no—
587C42—614no—
588C42—614no—
589C42—614no—
590C42—1228no—
591C42—1228no—
592C42—1224no—
593C42—2444no—
594C42—2444no—
595C42C2×C4×D6118yes—
596C42C2×C4×D6114yes—
597C23—612no—
598C23—612no—
599C23—612no—
600C23—1221no—
601C23—1221no—
602C23—1221no—
603C23—1221no—
604C23C24×D6111yescharacteristic
605Q8—28no—
606Q8—6116no—
607Q8—12216no—
608C2×C4—22no—
609C2×C4—22no—
610C2×C4—22no—
611C2×C4—21no—
612C2×C4—22no—
613C2×C4—21no—
614C2×C4—22no—
615C2×C4—22no—
616C2×C4—24no—
617C2×C4—22no—
618C2×C4—24no—
619C2×C4—22no—
620C2×C4—24no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—614no—
624C2×C4—614no—
625C2×C4—614no—
626C2×C4—612no—
627C2×C4—612no—
628C2×C4—614no—
629C2×C4—612no—
630C2×C4—12216no—
631C2×C4—12216no—
632C2×C4—1228no—
633C2×C4—1221no—
634C2×C4—1221no—
635C2×C4—1221no—
636C2×C4—1222no—
637C2×C4—1221no—
638C2×C4—1222no—
639C2×C4—1221no—
640C2×C4—1221no—
641C2×C4—1228no—
642C2×C4—1228no—
643C2×C4—1222no—
644C2×C4—1222no—
645C2×C4—1224no—
646C2×C4—1222no—
647C2×C4—1224no—
648C2×C4—1222no—
649C2×C4—1222no—
650C2×C4—1224no—
651C2×C4—1222no—
652C2×C4C22×C4×D6114yes—
653C2×C4C22×C4×D6112yes—
654C2×C4C22×C4×D6114yes—
655C2×C4C22×C4×D6112yes—
656C2×C4C22×C4×D6112yes—
657C2×C4#41×D6112yes—
658C2×C4#41×D6112yes—
659C2×C4#1451982412yes—
660C2×C4#1451982512yes—
661C22—614no—
662C22—1222no—
663C22—1222no—
664C22—1222no—
665C22—1222no—
666C22—1222no—
667C22—1222no—
668C22C23×C4×D6111yescharacteristic
669C22C2×#41×D6111yescharacteristic
670C22C2×#41×D6111yescharacteristic
671C22H(5,𝔽2)×D6111yescharacteristic
672C222−1+4×D6111yescharacteristic
673C22C2×#1451982411yescharacteristic
674C22C2×#1451982511yescharacteristic
675C4—24no—
676C4—24no—
677C4—22no—
678C4—44no—
679C4—42no—
680C4—42no—
681C4—618no—
682C4—1222no—
683C4—1222no—
684C4—1222no—
685C4—1224no—
686C4—2442no—
687C4—2444no—
688C4—2442no—
689C4#117×D6114yes—
690C4#1684023814yes—
691C2—1224no—
692C2C2×#117×D6111yescharacteristic
693C2C2×#1684023811yescharacteristic
694C2#520×D6111yescharacteristic
695C2#2145990111yescharacteristic
696C2#2145990311yescharacteristic
697C2#2145991211yescharacteristic
698C2#2145991411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutatorC22×C61C24×C4
FittingC61×#2355C2
socle, cosocleC23×C61C25
prime radicalC23×D61C24
hypercenter#2355D61
hypocenterC61#34196
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2355

Complements

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

NH ≅ G/Ntype
2. #21448777C2semidirect
3. #21448776C2semidirect
4. #21448771C2semidirect
5. C4⋊C4×Dic122C2semidirect
6. #21448731C2semidirect
10. #21448468C2semidirect
11. #21448464C2semidirect
16. #21448183C2semidirect
17. C61×#2355C2semidirect
26. C4×Q8×D61C4semidirect
310. Dic122#117semidirect
346. #2355D61semidirect
433. C61#34196semidirect

Maximal subgroups

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

subgroupindex
C2×C4×Q8×D612
#214487772
#214487762
#214487712
C4⋊C4×Dic1222
#214487312
#214486852
#214486842
#214486532
#214484682
#214484642
#214482242
#214482232
#214482152
#214482122
#214481832
C61×#23552
#3419661