Finite Group Databasebeta

← #29647789

Subgroups — #29647789

Order 15616.

1074 conjugacy classes of subgroups.

The subgroup lattice has 686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459658C211yesmaximal, characteristic
2#21454848C211yesmaximal, characteristic, complemented
3#21444390C211yesmaximal, characteristic, complemented
4#21444386C211yesmaximal, characteristic, complemented
5#21444360C212yesmaximal, complemented
6#21444355C212yesmaximal, complemented
7#21444342C212yesmaximal, complemented
8#21444321C212yesmaximal, complemented
9C2×#16839498C211yesmaximal, characteristic, complemented
10C2×#16839495C211yesmaximal, characteristic, complemented
11C61×#2349C211yesmaximal, characteristic, complemented
12#16840461—22no—
13#16840458C412yescomplemented
14#16840452C412yescomplemented
15#16840441—22no—
16#16840421C412yescomplemented
17#16840408C412yescomplemented
18#16840359—21no—
19#16840350—21no—
20#16840321—21no—
21#16840296C2212yes—
22#16840273C2212yes—
23C2×#14519756C2211yescharacteristic
24C2×#14519751C2211yescharacteristic
25#16840235—21no—
26#16839834—22no—
27#16839834—22no—
28#16839819C2212yescomplemented
29#16839726C2212yescomplemented
30C2×C22⋊#92418C2211yescharacteristic
31C2×C22⋊#92418C2211yescharacteristic
32#16839498C2212yescomplemented
33#16839498C2212yescomplemented
34#16839498C2212yescomplemented
35#16839498C2212yescomplemented
36#16839495C2212yes—
37#16839495C2212yes—
38#16839495C2212yes—
39#16839495C2212yes—
40C2×C4×D4×C61—21no—
41C2×C4×D4×C61C2211yescharacteristic
42C61×#389—21no—
43C61×#385—21no—
44C61×#385—21no—
45C61×#382C2211yescharacteristic, complemented
46C61×#380C2211yescharacteristic
47C61×#380C2211yescharacteristic, complemented
48C4×C4⋊C4×C61C2211yescharacteristic, complemented
49C2×#95×C61C2211yescharacteristic
50C2×#95×C61C2211yescharacteristic, complemented
51C2×#11758222C2×C412yescomplemented
52C22×Dic122C2×C411yescharacteristic, complemented
53C22×D244C2×C411yescharacteristic, complemented
54C22×C22⋊D61—21no—
55C2×#11758194—22no—
56C22×#92418—21no—
57C22×#92418—21no—
58#14519772—22no—
59#14519771—22no—
60#14519770—22no—
61#14519769C2×C412yescomplemented
62#14519767—22no—
63#14519765C2×C412yescomplemented
64#14519763—22no—
65#14519762—22no—
66#14519760—22no—
67#14519760—22no—
68#14519759—22no—
69#14519758—22no—
70#14519756—21no—
71#14519756—21no—
72#14519756C2×C412yescomplemented
73#14519756C2×C412yescomplemented
74#14519756C2312yes—
75#14519755—22no—
76#14519751—21no—
77#14519751—21no—
78#14519751C2×C412yescomplemented
79#14519751C2×C412yescomplemented
80#14519751C2312yes—
81#14519750—22no—
82#14519749—22no—
83#14519749—22no—
84#14519746—22no—
85#14519745—22no—
86C4×Dic122C2×C412yescomplemented
87C4×D244C2×C412yescomplemented
88C4×C22⋊D61—22no—
89C4×C22⋊D61—22no—
90C4×C22⋊D61—22no—
91#14519737—22no—
92#14519737—22no—
93#14519736C2×C412yescomplemented
94#14519734—22no—
95#14519733—22no—
96C2×C4⋊Dic61C2×C411yescharacteristic, complemented
97C2×C4⋊Dic61C2×C411yescharacteristic, complemented
98C2×#11758196—21no—
99C2×C22⋊Dic61—21no—
100C2×#11758198—21no—
101C22⋊C4×D61—22no—
102C4⋊#92418—22no—
103C22⋊#92418—21no—
104C22⋊#92418—21no—
105C22⋊#92418—22no—
106C22⋊#92418C2312yes—
107C22⋊#92418C2312yes—
108#14519688—22no—
109C22×D4×C61D411yescharacteristic
110C23×C4×C61—21no—
111C23×C4×C61—21no—
112C23×C4×C61C2311yescharacteristic
113C23×C4×C61C2311yescharacteristic
114C4×D4×C61—44no—
115C4×D4×C61C2×C412yes—
116C4×D4×C61C2×C412yes—
117C4×D4×C61D412yes—
118C4×D4×C61D412yes—
119C2×C4⋊C4×C61—21no—
120C2×C4⋊C4×C61—21no—
121C2×C4⋊C4×C61—21no—
122C2×C4⋊C4×C61—21no—
123C2×C4⋊C4×C61D411yescharacteristic
124C2×C22⋊C4×C61—21no—
125C2×C22⋊C4×C61—21no—
126C2×C22⋊C4×C61D411yescharacteristic
127C2×C22⋊C4×C61D411yescharacteristic
128C2×C42×C61—21no—
129C2×C42×C61C2311yescharacteristic
130#95×C61—21no—
131#95×C61—21no—
132#95×C61—21no—
133#95×C61C2311yescharacteristic
134#95×C61C2311yescharacteristic
135#95×C61C2311yescharacteristic
136#95×C61C2311yescharacteristic
137C24×C61C2×D411yescharacteristic
138C24×C61C2×D411yescharacteristic
139C23×D61—21no—
140C2×D4×C61—22no—
141C2×D4×C61—22no—
142C2×D4×C61C22⋊C412yes—
143C2×D4×C61C22⋊C412yes—
144C22×C4×C61—21no—
145C22×C4×C61—21no—
146C22×C4×C61—21no—
147C22×C4×C61—21no—
148C22×C4×C61—42no—
149C22×C4×C61—42no—
150C22×C4×C61—42no—
151C22×C4×C61—42no—
152C22×C4×C61—81no—
153C22×C4×C61—81no—
154C22×C4×C61—81no—
155C22×C4×C61—81no—
156C22×C4×C61C22×C411yescharacteristic
157C22×C4×C61C22×C411yescharacteristic
158C22×C4×C61C22×C412yes—
159C22×C4×C61C2×D411yescharacteristic
160C22×C4×C61C2×D411yescharacteristic
161C22×C4×C61C2×D411yescharacteristic
162C22×C4×C61C2×D411yescharacteristic
163C22×C4×C61C2×D411yescharacteristic
164C22×C4×C61C2×D411yescharacteristic
165C22×C4×C61C2×D412yes—
166C22×C4×C61C2411yescharacteristic
167C2×C22⋊D61—22no—
168C2×C22⋊D61—22no—
169C2×C22⋊D61—22no—
170C2×C22⋊D61—22no—
171C2×C22⋊D61—42no—
172C2×C22⋊D61—42no—
173C22×Dic61—21no—
174C22×Dic61—21no—
175C22×Dic61—21no—
176#11758222—82no—
177C2×D244—21no—
178C2×D244—81no—
179C2×D244C22×C412yes—
180C2×C4×D61—22no—
181C2×C4×D61—22no—
182C2×Dic122—21no—
183C2×Dic122—81no—
184C2×Dic122C22×C412yes—
185C4⋊C4×C61—42no—
186C4⋊C4×C61—42no—
187C4⋊C4×C61—81no—
188C4⋊C4×C61—81no—
189C4⋊C4×C61C22⋊C412yes—
190C4⋊C4×C61C22⋊C412yes—
191C22⋊C4×C61—42no—
192C22⋊C4×C61—42no—
193C22⋊C4×C61C22⋊C412yes—
194C22⋊C4×C61C22⋊C412yes—
195C22⋊C4×C61C22⋊C412yes—
196C22⋊C4×C61C22⋊C412yes—
197C42×C61—42no—
198C42×C61C22×C412yes—
199C42×C61C2×D412yes—
200C22⋊Dic61—22no—
201C22⋊Dic61—22no—
202C22⋊Dic61—22no—
203C22⋊Dic61—22no—
204#11758198—22no—
205#11758198—22no—
206#11758198—22no—
207#11758198—22no—
208#11758198—22no—
209#11758198—22no—
210C4⋊Dic61—21no—
211C4⋊Dic61—21no—
212C4⋊Dic61C22×C412yes—
213C4⋊Dic61C22×C412yes—
214#11758196—22no—
215#11758196—22no—
216#11758196—22no—
217#11758196—22no—
218#11758196—22no—
219#11758196—22no—
220C4×Dic61—22no—
221C4×Dic61—22no—
222#11758194—82no—
223C2×#92418—22no—
224C2×#92418—22no—
225C2×#92418—81no—
226C2×#92418—81no—
227C23×C61—21no—
228C23×C61—21no—
229C23×C61—41no—
230C23×C61—41no—
231C23×C61—41no—
232C23×C61—41no—
233C23×C61C2×C22⋊C412yes—
234C23×C61C2×C22⋊C411yescharacteristic
235C23×C61C2×C22⋊C411yescharacteristic
236C23×C61AGL(1,ℤ/8)12yes—
237C23×C61#13712yes—
238C23×C61C22×D411yescharacteristic
239C22×D61—22no—
240C22×D61—42no—
241C22×D61—81no—
242C22×D61—81no—
243D4×C61—24no—
244D4×C61—24no—
245C2×C4×C61—21no—
246C2×C4×C61—21no—
247C2×C4×C61—22no—
248C2×C4×C61—41no—
249C2×C4×C61—41no—
250C2×C4×C61—42no—
251C2×C4×C61—41no—
252C2×C4×C61—41no—
253C2×C4×C61—41no—
254C2×C4×C61—41no—
255C2×C4×C61—41no—
256C2×C4×C61—42no—
257C2×C4×C61—41no—
258C2×C4×C61—41no—
259C2×C4×C61—41no—
260C2×C4×C61—41no—
261C2×C4×C61—41no—
262C2×C4×C61—41no—
263C2×C4×C61—41no—
264C2×C4×C61—41no—
265C2×C4×C61—41no—
266C2×C4×C61—41no—
267C2×C4×C61—41no—
268C2×C4×C61—41no—
269C2×C4×C61—84no—
270C2×C4×C61—84no—
271C2×C4×C61C2×C22⋊C412yes—
272C2×C4×C61C2×C22⋊C412yes—
273C2×C4×C61C2×C22⋊C411yescharacteristic
274C2×C4×C61C2×C22⋊C412yes—
275C2×C4×C61C2×C22⋊C411yescharacteristic
276C2×C4×C61C23×C411yescharacteristic
277C2×C4×C61C22×D411yescharacteristic
278C22⋊D61—42no—
279C22⋊D61—42no—
280C22⋊D61—44no—
281C22⋊D61—82no—
282C22⋊D61—82no—
283C2×Dic61—22no—
284C2×Dic61—22no—
285C2×Dic61—22no—
286C2×Dic61—42no—
287C2×Dic61—81no—
288C2×Dic61—81no—
289D244—42no—
290D244—81no—
291C4×D61—82no—
292C4×D61—82no—
293Dic122—42no—
294Dic122—81no—
295#92418—42no—
296#92418—42no—
297#17622—611nomaximal, Sylow
298C22×C61—21no—
299C22×C61—21no—
300C22×C61—21no—
301C22×C61—21no—
302C22×C61—21no—
303C22×C61—21no—
304C22×C61—22no—
305C22×C61—22no—
306C22×C61—22no—
307C22×C61—42no—
308C22×C61—42no—
309C22×C61—42no—
310C22×C61—42no—
311C22×C61#41712yes—
312C22×C61#41712yes—
313C22×C61C22×C22⋊C411yescharacteristic
314C22×C61C2×AGL(1,ℤ/8)11yescharacteristic
315C22×C61C2×#13711yescharacteristic
316C2×D61—42no—
317C2×D61—42no—
318C2×D61—42no—
319C2×D61—162no—
320C4×C61—21no—
321C4×C61—21no—
322C4×C61—21no—
323C4×C61—22no—
324C4×C61—21no—
325C4×C61—22no—
326C4×C61—22no—
327C4×C61—42no—
328C4×C61—81no—
329C4×C61—81no—
330C4×C61—81no—
331Dic61—42no—
332Dic61—42no—
333Dic61—42no—
334#3505—611no—
335#2973—611no—
336#2349D6111yescharacteristic, complemented
337#1520—611no—
338#1519—611no—
339#1513—612no—
340#1512—612no—
341#1509—612no—
342#1504—612no—
343C2×#328—611no—
344C2×#327—611no—
345C2×C61—21no—
346C2×C61—22no—
347C2×C61—21no—
348C2×C61—22no—
349C2×C61—42no—
350C2×C61#288311yescharacteristic
351C2×C61C2×#41711yescharacteristic
352C2×C61#290111yescharacteristic
353D61—82no—
354#553—612no—
355#553—1222no—
356#552—612no—
357#551—1222no—
358#548—612no—
359#546—612no—
360#539—1221no—
361#538—1221no—
362#534—1221no—
363#529—612no—
364#525—612no—
365C2×C22⋊Q8—611no—
366C2×#121—611no—
367#518—1221no—
368C2×C4×D4—21no—
369C2×C4×D4C2×D6111yescharacteristic
370#435—1222no—
371#435—1222no—
372#432—612no—
373#407—612no—
374C2×C22⋊C8—611no—
375C2×C22⋊C8—611no—
376#389—21no—
377#385—21no—
378#385—21no—
379#382C2×D6111yescharacteristic, complemented
380#380C2×D6111yescharacteristic
381#380C2×D6111yescharacteristic, complemented
382C4×C4⋊C4C2×D6111yescharacteristic, complemented
383C2×#95C2×D6111yescharacteristic
384C2×#95C2×D6111yescharacteristic, complemented
385#328—612no—
386#328—612no—
387#328—612no—
388#328—612no—
389#327—612no—
390#327—612no—
391#327—612no—
392#327—612no—
393C61#1762211yescharacteristic, complemented, Sylow
394C2×#41—612no—
395C22×Q8—611no—
396C22×D4—611no—
397C22×D4—1221no—
398C22×D4C22⋊D6111yescharacteristic
399C23×C4—21no—
400C23×C4—21no—
401C23×C4C22×D6111yescharacteristic
402C23×C4C22×D6111yescharacteristic
403C2×M16—1222no—
404C22×C8—1221no—
405C22×C8—1221no—
406#126—1222no—
407#126—1222no—
408#126—1222no—
409#125—612no—
410#125—1222no—
411#124—612no—
412#124—1222no—
413#123—1222no—
414#123—1222no—
415#123—1222no—
416#123—1222no—
417#123—1222no—
418C22⋊Q8—612no—
419C22⋊Q8—612no—
420C22⋊Q8—612no—
421C22⋊Q8—1221no—
422C22⋊Q8—1221no—
423C22⋊Q8—1222no—
424#121—612no—
425#121—612no—
426#121—612no—
427#121—1222no—
428#121—1222no—
429#121—1221no—
430#121—1221no—
431#121—1222no—
432#120—1222no—
433#120—1222no—
434C4×Q8—612no—
435C4×D4—44no—
436C4×D4—612no—
437C4×D4—1222no—
438C4×D4—1222no—
439C4×D4—1222no—
440C4×D4—1222no—
441C4×D4—1222no—
442C4×D4C4×D6112yes—
443C4×D4C4×D6112yes—
444C4×D4D24412yes—
445C4×D4D24412yes—
446#117—612no—
447#117—1222no—
448#117—1222no—
449C2×C4⋊C4—21no—
450C2×C4⋊C4—21no—
451C2×C4⋊C4—21no—
452C2×C4⋊C4—21no—
453C2×C4⋊C4—611no—
454C2×C4⋊C4—611no—
455C2×C4⋊C4—1221no—
456C2×C4⋊C4C22⋊D6111yescharacteristic
457C2×C22⋊C4—21no—
458C2×C22⋊C4—21no—
459C2×C22⋊C4—1221no—
460C2×C22⋊C4—1221no—
461C2×C22⋊C4—1222no—
462C2×C22⋊C4C22⋊D6111yescharacteristic
463C2×C22⋊C4C22⋊D6111yescharacteristic
464C2×C42—21no—
465C2×C42C22×D6111yescharacteristic
466C4⋊C8—1222no—
467C22⋊C8—612no—
468C22⋊C8—612no—
469C22⋊C8—1221no—
470C22⋊C8—1221no—
471C22⋊C8—1222no—
472#97—1222no—
473#95—21no—
474#95—21no—
475#95—21no—
476#95C22×D6111yescharacteristic
477#95C22×D6111yescharacteristic
478#95C22×D6111yescharacteristic
479#95C22×D6111yescharacteristic
480C24—1221no—
481C24C2×C22⋊D6111yescharacteristic
482C24C2×C22⋊D6111yescharacteristic
483#41—4882no—
484C2×Q8—612no—
485C2×Q8—1221no—
486C2×Q8—4881no—
487C2×D4—22no—
488C2×D4—22no—
489C2×D4—612no—
490C2×D4—1222no—
491C2×D4—1222no—
492C2×D4—1222no—
493C2×D4—1222no—
494C2×D4—1221no—
495C2×D4—4881no—
496C2×D4—2442no—
497C2×D4—2442no—
498C2×D4#1175819812yes—
499C2×D4#1175819812yes—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—42no—
505C22×C4—42no—
506C22×C4—42no—
507C22×C4—42no—
508C22×C4—81no—
509C22×C4—81no—
510C22×C4—81no—
511C22×C4—81no—
512C22×C4—1221no—
513C22×C4—1221no—
514C22×C4—1221no—
515C22×C4—1222no—
516C22×C4—1222no—
517C22×C4C2×C4×D6111yescharacteristic
518C22×C4C2×C4×D6111yescharacteristic
519C22×C4C2×C4×D6112yes—
520C22×C4C2×D24411yescharacteristic
521C22×C4C2×D24411yescharacteristic
522C22×C4C2×D24412yes—
523C22×C4C2×C22⋊D6111yescharacteristic
524C22×C4C2×C22⋊D6111yescharacteristic
525C22×C4C2×C22⋊D6111yescharacteristic
526C22×C4C2×C22⋊D6111yescharacteristic
527C22×C4C23×D6111yescharacteristic
528M16—4882no—
529C2×C8—1222no—
530C2×C8—1222no—
531C2×C8—4881no—
532C2×C8—4881no—
533C4⋊C4—42no—
534C4⋊C4—42no—
535C4⋊C4—81no—
536C4⋊C4—81no—
537C4⋊C4—612no—
538C4⋊C4—612no—
539C4⋊C4—1222no—
540C4⋊C4—1221no—
541C4⋊C4—1221no—
542C4⋊C4—1222no—
543C4⋊C4—1222no—
544C4⋊C4—1222no—
545C4⋊C4—1222no—
546C4⋊C4—1222no—
547C4⋊C4#1175819812yes—
548C4⋊C4#1175819812yes—
549C22⋊C4—42no—
550C22⋊C4—42no—
551C22⋊C4—1222no—
552C22⋊C4—1222no—
553C22⋊C4—1222no—
554C22⋊C4—1222no—
555C22⋊C4—1222no—
556C22⋊C4—1222no—
557C22⋊C4—1222no—
558C22⋊C4—1222no—
559C22⋊C4—1222no—
560C22⋊C4—1222no—
561C22⋊C4#1175819812yes—
562C22⋊C4#1175819812yes—
563C22⋊C4#1175819812yes—
564C22⋊C4#1175819812yes—
565C42—42no—
566C42—1222no—
567C42—1222no—
568C42C2×C4×D6112yes—
569C42C2×D24412yes—
570C23—21no—
571C23—21no—
572C23—41no—
573C23—41no—
574C23—41no—
575C23—41no—
576C23—1222no—
577C23—4881no—
578C23—4881no—
579C23—2442no—
580C23C2×#1175819812yes—
581C23C2×#1175819811yescharacteristic
582C23C2×#1175819811yescharacteristic
583C23#1451980312yes—
584C23#1451980812yes—
585C23C22×C22⋊D6111yescharacteristic
586Q8—4881no—
587Q8—2442no—
588D4—24no—
589D4—24no—
590D4—4881no—
591D4—4882no—
592D4—4882no—
593D4—2442no—
594D4—2444no—
595D4—2442no—
596D4—2442no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—22no—
600C2×C4—41no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4—41no—
605C2×C4—42no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—42no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—84no—
622C2×C4—84no—
623C2×C4—1222no—
624C2×C4—1222no—
625C2×C4—1222no—
626C2×C4—4882no—
627C2×C4—4882no—
628C2×C4—4881no—
629C2×C4—4881no—
630C2×C4—2442no—
631C2×C4C2×#1175819812yes—
632C2×C4C2×#1175819812yes—
633C2×C4C2×#1175819812yes—
634C2×C4C2×#1175819811yescharacteristic
635C2×C4C2×#1175819811yescharacteristic
636C2×C4C22×C4×D6111yescharacteristic
637C2×C4C22×D24411yescharacteristic
638C8—2442no—
639C8—2442no—
640C22—21no—
641C22—21no—
642C22—21no—
643C22—21no—
644C22—21no—
645C22—21no—
646C22—22no—
647C22—22no—
648C22—22no—
649C22—42no—
650C22—42no—
651C22—42no—
652C22—42no—
653C22—9762no—
654C22—2442no—
655C22—2442no—
656C22—2442no—
657C22#1683976112yes—
658C22#1683976112yes—
659C22C22×#1175819811yescharacteristic
660C22C2×#1451980311yescharacteristic
661C22C2×#1451980811yescharacteristic
662C4—22no—
663C4—21no—
664C4—21no—
665C4—22no—
666C4—21no—
667C4—21no—
668C4—22no—
669C4—42no—
670C4—81no—
671C4—81no—
672C4—81no—
673C4—2442no—
674C4—2442no—
675C4—2442no—
676C2—21no—
677C2—21no—
678C2—22no—
679C2—22no—
680C2—42no—
681C2—4882no—
682C2#2145427911yescharacteristic
683C2C2×#1683976111yescharacteristic
684C2#2145436711yescharacteristic
subgroupG/H
centerC22C22×#11758198
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#2349C2
socleC22×C61C22×C22⋊C4
prime radical#21459658C2
cosocleC22×C4×C61C24
hypercenter#2349D61
hypocenterC61#17622
LCSG ▷ C2×C4×C61 ▷ C22×C61 ▷ C61
UCSC1 ◁ C22 ◁ C2×C4×D4 ◁ #2349

Complements

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

NH ≅ G/Ntype
2. #21454848C2semidirect
3. #21444390C2semidirect
4. #21444386C2semidirect
5. #21444360C2semidirect
6. #21444355C2semidirect
7. #21444342C2semidirect
8. #21444321C2semidirect
9. C2×#16839498C2semidirect
10. C2×#16839495C2semidirect
11. C61×#2349C2semidirect
13. #16840458C4semidirect
14. #16840452C4semidirect
16. #16840421C4semidirect
17. #16840408C4semidirect
28. #16839819C22semidirect
29. #16839726C22semidirect
32. #16839498C22semidirect
33. #16839498C22semidirect
34. #16839498C22semidirect
35. #16839498C22semidirect
45. C61×#382C22semidirect
47. C61×#380C22semidirect
48. C4×C4⋊C4×C61C22semidirect
50. C2×#95×C61C22semidirect
51. C2×#11758222C2×C4semidirect
52. C22×Dic122C2×C4semidirect
53. C22×D244C2×C4semidirect
61. #14519769C2×C4semidirect
63. #14519765C2×C4semidirect
72. #14519756C2×C4semidirect
73. #14519756C2×C4semidirect
78. #14519751C2×C4semidirect
79. #14519751C2×C4semidirect
86. C4×Dic122C2×C4semidirect
87. C4×D244C2×C4semidirect
93. #14519736C2×C4semidirect
96. C2×C4⋊Dic61C2×C4semidirect
97. C2×C4⋊Dic61C2×C4semidirect
336. #2349D61semidirect
379. #382C2×D61semidirect
381. #380C2×D61semidirect
382. C4×C4⋊C4C2×D61semidirect
384. C2×#95C2×D61semidirect
393. C61#17622semidirect

Maximal subgroups

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

subgroupindex
#214596582
#214548482
#214443902
#214443862
#214443602
#214443552
#214443422
#214443212
C2×#168394982
C2×#168394952
C61×#23492
#1762261