Finite Group Databasebeta

← #29647213

Subgroups — #29647213

Order 15616.

1166 conjugacy classes of subgroups.

The subgroup lattice has 688 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459851C211yesmaximal, characteristic
2#21448180C211yesmaximal, characteristic, complemented
3#21444345C211yesmaximal, characteristic, complemented
4#21444336C212yesmaximal, complemented
5#21444328C211yesmaximal, characteristic, complemented
6#21444324C212yesmaximal, complemented
7#21444315C211yesmaximal, characteristic, complemented
8#21444311C212yesmaximal, complemented
9#21444306C211yesmaximal, characteristic, complemented
10C2×#16839497C212yesmaximal, complemented
11C61×#2974C211yesmaximal, characteristic, complemented
12#16840477C411yescharacteristic, complemented
13#16840469C411yescharacteristic, complemented
14#16840460—21no—
15#16840458C412yescomplemented
16#16840433C411yescharacteristic, complemented
17#16840408C412yescomplemented
18#16840402—22no—
19D4×D244C411yescharacteristic, complemented
20D4×C22⋊D61—21no—
21#16840363—21no—
22#16840345—22no—
23#16840312C2211yescharacteristic
24#16840296C2211yescharacteristic
25#16840273C2212yes—
26C2×#14519751C2212yes—
27#16840234—21no—
28C2×D4×Dic61—21no—
29C4⋊C4×Dic61—21no—
30C4×C4⋊Dic61C2211yescharacteristic, complemented
31C22⋊C4×Dic61—22no—
32C4×C22⋊Dic61C2212yescomplemented
33#16839608C2211yescharacteristic, complemented
34C2×#14519684C2212yescomplemented
35#16839500C2211yescharacteristic, complemented
36#16839500C2211yescharacteristic, complemented
37#16839500C2212yescomplemented
38#16839497C2211yescharacteristic
39#16839497C2212yes—
40#16839497C2211yescharacteristic
41#16839497C2212yescomplemented
42#16839497C2212yescomplemented
43#16839497C2212yescomplemented
44#16839497C2212yescomplemented
45C2×C4×D4×C61C2211yescharacteristic
46C61×#436—21no—
47C61×#435—22no—
48C8×D4×C61—21no—
49C61×#432C2211yescharacteristic, complemented
50C61×#431C2211yescharacteristic, complemented
51C61×#407C2212yescomplemented
52C2×C22⋊C8×C61C2212yescomplemented
53C2×#11758222—21no—
54C2×#11758222C2×C412yescomplemented
55C22×D244C2×C412yescomplemented
56C22×C22⋊D61—22no—
57C2×D4×D61—21no—
58C23×Dic61—22no—
59#14519777C2×C411yescharacteristic, complemented
60#14519774C2×C411yescharacteristic, complemented
61#14519773—21no—
62#14519772—22no—
63#14519771—21no—
64#14519769C2×C411yescharacteristic, complemented
65#14519768—21no—
66#14519765—21no—
67#14519765C2×C411yescharacteristic, complemented
68#14519763—22no—
69#14519762—22no—
70#14519760—22no—
71#14519760—21no—
72#14519759—22no—
73#14519756C2×C412yescomplemented
74#14519756C2311yescharacteristic
75#14519754—22no—
76#14519752—21no—
77#14519751—22no—
78#14519751—21no—
79#14519751—22no—
80#14519751C2×C412yescomplemented
81#14519751C2×C412yescomplemented
82#14519751C2×C412yescomplemented
83#14519751C2311yescharacteristic
84#14519751C2312yes—
85#14519750—22no—
86#14519750—22no—
87#14519749—22no—
88#14519748—21no—
89#14519747—22no—
90#14519746—22no—
91#14519745—22no—
92C4×Dic122C2×C411yescharacteristic, complemented
93C4×D244—21no—
94C4×D244C2×C412yescomplemented
95C4×D244C2×C411yescharacteristic, complemented
96D4×Dic61—28no—
97D4×Dic61—21no—
98#14519739—21no—
99C4×C22⋊D61—22no—
100C4×C22⋊D61—21no—
101C4×C22⋊D61—22no—
102#14519737—22no—
103#14519736C2×C412yescomplemented
104#14519735—21no—
105#14519734—21no—
106C2×C4⋊Dic61—21no—
107C2×C4⋊Dic61C2×C412yescomplemented
108C2×C22⋊Dic61—22no—
109C2×#11758198—22no—
110C22⋊C4×D61—22no—
111C2×C4×Dic61—21no—
112C2×C4×Dic61—22no—
113C2×C4×Dic61—21no—
114#14519684—22no—
115#14519684—21no—
116#14519684C2311yescharacteristic
117#14519684C2312yes—
118#14519684C2311yescharacteristic
119C22×D4×C61D411yescharacteristic
120C23×C4×C61C2312yes—
121C2×M16×C61—22no—
122C22×C8×C61—22no—
123C4×D4×C61C2×C412yes—
124C4×D4×C61C2×C411yescharacteristic
125C4×D4×C61C2×C411yescharacteristic
126C4×D4×C61D411yescharacteristic
127C4×D4×C61D412yes—
128C4×D4×C61D411yescharacteristic
129C2×C4⋊C4×C61D411yescharacteristic
130C2×C22⋊C4×C61D412yes—
131C2×C42×C61C2311yescharacteristic
132C4⋊C8×C61—21no—
133C4⋊C8×C61—21no—
134C22⋊C8×C61—22no—
135C22⋊C8×C61—22no—
136C22⋊C8×C61C2311yescharacteristic
137C22⋊C8×C61C2312yes—
138C22⋊C8×C61C2311yescharacteristic
139#97×C61—21no—
140C4×C8×C61—21no—
141C24×C61C2×D412yes—
142C23×D61—22no—
143C2×D4×C61—24no—
144C2×D4×C61C22⋊C412yes—
145C2×D4×C61C22⋊C411yescharacteristic
146C2×D4×C61C22⋊C411yescharacteristic
147C22×C4×C61—82no—
148C22×C4×C61C22×C412yes—
149C22×C4×C61C22×C412yes—
150C22×C4×C61C2×D411yescharacteristic
151C22×C4×C61C2×D411yescharacteristic
152C22×C4×C61C2×D412yes—
153C22×C4×C61C2×D412yes—
154C22×C4×C61C2×D412yes—
155C22×C4×C61C2411yescharacteristic
156C2×C22⋊D61—22no—
157C2×C22⋊D61—21no—
158C2×C22⋊D61—22no—
159C2×C22⋊D61—22no—
160C2×C22⋊D61—22no—
161C2×C22⋊D61—22no—
162C2×C22⋊D61—82no—
163C2×C22⋊D61—82no—
164C22×Dic61—21no—
165C22×Dic61—22no—
166C22×Dic61—21no—
167C22×Dic61—28no—
168C22×Dic61—22no—
169C22×Dic61—82no—
170C22×Dic61—82no—
171D4×D61—44no—
172#11758222—82no—
173#11758222—81no—
174#11758222—81no—
175C2×D244—21no—
176C2×D244—22no—
177C2×D244—21no—
178C2×D244—82no—
179C2×D244C22×C411yescharacteristic
180C2×D244C22×C412yes—
181C2×C4×D61—21no—
182C2×C4×D61—22no—
183C2×C4×D61—22no—
184C2×Dic122—21no—
185C2×Dic122C22×C411yescharacteristic
186M16×C61—82no—
187C2×C8×C61—21no—
188C2×C8×C61—21no—
189C2×C8×C61—22no—
190C2×C8×C61—82no—
191C4⋊C4×C61C22⋊C411yescharacteristic
192C4⋊C4×C61C22⋊C411yescharacteristic
193C4⋊C4×C61C22⋊C412yes—
194C22⋊C4×C61C22⋊C412yes—
195C22⋊C4×C61C22⋊C412yes—
196C22⋊C4×C61C22⋊C412yes—
197C22⋊C4×C61C22⋊C412yes—
198C42×C61C22×C411yescharacteristic
199C42×C61C22×C411yescharacteristic
200C42×C61C2×D411yescharacteristic
201C42×C61C2×D411yescharacteristic
202C22⋊Dic61—28no—
203C22⋊Dic61—22no—
204C22⋊Dic61—22no—
205C22⋊Dic61—21no—
206#11758198—21no—
207#11758198—22no—
208#11758198—22no—
209#11758198—21no—
210#11758198—22no—
211#11758198—22no—
212#11758198—21no—
213#11758198—21no—
214#11758198—22no—
215C4⋊Dic61—24no—
216C4⋊Dic61—22no—
217C4⋊Dic61—21no—
218C4⋊Dic61C22×C411yescharacteristic
219C4⋊Dic61C22×C412yes—
220C4⋊Dic61C22×C411yescharacteristic
221#11758196—21no—
222#11758196—21no—
223#11758196—22no—
224#11758196—21no—
225#11758196—21no—
226C4×Dic61—24no—
227C4×Dic61—21no—
228C4×Dic61—22no—
229C4×Dic61—81no—
230C4×Dic61—82no—
231C23×C61—22no—
232C23×C61—22no—
233C23×C61—24no—
234C23×C61—42no—
235C23×C61C2×C22⋊C412yes—
236C23×C61C2×C22⋊C412yes—
237C23×C61C22×D411yescharacteristic
238C22×D61—21no—
239C22×D61—22no—
240C22×D61—44no—
241C22×D61—82no—
242C22×D61—82no—
243D4×C61—24no—
244D4×C61—22no—
245D4×C61#10414yes—
246C2×C4×C61—21no—
247C2×C4×C61—21no—
248C2×C4×C61—22no—
249C2×C4×C61—42no—
250C2×C4×C61—42no—
251C2×C4×C61—42no—
252C2×C4×C61—42no—
253C2×C4×C61—42no—
254C2×C4×C61—41no—
255C2×C4×C61C2×C22⋊C412yes—
256C2×C4×C61C2×C22⋊C412yes—
257C2×C4×C61C2×C22⋊C411yescharacteristic
258C2×C4×C61C2×C22⋊C411yescharacteristic
259C2×C4×C61C2×C22⋊C411yescharacteristic
260C2×C4×C61C2×C22⋊C411yescharacteristic
261C2×C4×C61C23×C411yescharacteristic
262C2×C4×C61C22×D411yescharacteristic
263C22⋊D61—42no—
264C22⋊D61—41no—
265C22⋊D61—42no—
266C22⋊D61—41no—
267C22⋊D61—44no—
268C22⋊D61—82no—
269C22⋊D61—82no—
270C22⋊D61—82no—
271C2×Dic61—22no—
272C2×Dic61—22no—
273C2×Dic61—24no—
274C2×Dic61—21no—
275C2×Dic61—21no—
276C2×Dic61—21no—
277C2×Dic61—22no—
278C2×Dic61—41no—
279C2×Dic61—42no—
280C2×Dic61—41no—
281C2×Dic61—42no—
282C2×Dic61—41no—
283C2×Dic61—41no—
284C2×Dic61—82no—
285C2×Dic61—88no—
286D244—41no—
287D244—42no—
288D244—42no—
289D244—82no—
290D244—81no—
291C4×D61—42no—
292C4×D61—82no—
293C4×D61—82no—
294Dic122—41no—
295Dic122—81no—
296C8×C61—41no—
297C8×C61—42no—
298C8×C61—41no—
299#17547—611nomaximal, Sylow
300C22×C61—21no—
301C22×C61—22no—
302C22×C61—22no—
303C22×C61—21no—
304C22×C61—22no—
305C22×C61—22no—
306C22×C61—22no—
307C22×C61—44no—
308C22×C61—44no—
309C22×C61C2×#10414yes—
310C22×C61C22×C22⋊C411yescharacteristic
311C22×C61#57611yescharacteristic
312C22×C61#57711yescharacteristic
313C2×D61—42no—
314C2×D61—41no—
315C2×D61—42no—
316C2×D61—41no—
317C2×D61—41no—
318C2×D61—42no—
319C2×D61—164no—
320C4×C61—21no—
321C4×C61—21no—
322C4×C61—22no—
323C4×C61—22no—
324C4×C61—21no—
325C4×C61—21no—
326C4×C61—21no—
327C4×C61C2×#10412yes—
328Dic61—42no—
329Dic61—44no—
330Dic61—42no—
331Dic61—41no—
332Dic61—42no—
333Dic61—41no—
334Dic61—41no—
335#3519—611no—
336#2974D6111yescharacteristic, complemented
337#2275—611no—
338#1509—611no—
339#1507—612no—
340#1505—611no—
341#1504—612no—
342#1502—611no—
343#1501—612no—
344#1500—611no—
345C2×#327—612no—
346C2×C61—21no—
347C2×C61—21no—
348C2×C61—24no—
349C2×C61—42no—
350C2×C61#288311yescharacteristic
351C2×C61#289711yescharacteristic
352C2×C61C22×#10411yescharacteristic
353D61—82no—
354D61—81no—
355#555—611no—
356#554—611no—
357#553—612no—
358#553—1221no—
359#550—611no—
360#546—612no—
361#546—1222no—
362D42—611no—
363D42—1221no—
364#540—1221no—
365#538—1222no—
366#532—611no—
367#529—611no—
368#525—612no—
369C2×#121—612no—
370#518—1221no—
371C2×C4×D4—1221no—
372C2×C4×D4C2×D6111yescharacteristic
373#436—21no—
374#435—22no—
375C8×D4—21no—
376#432C2×D6111yescharacteristic, complemented
377#431C2×D6111yescharacteristic, complemented
378#407C2×D6112yescomplemented
379C2×C22⋊C8C2×D6112yescomplemented
380C4×C4⋊C4—611no—
381C4×C4⋊C4—1221no—
382C4×C22⋊C4—612no—
383C4×C22⋊C4—1222no—
384#376—611no—
385C2×#95—612no—
386#328—611no—
387#328—611no—
388#328—612no—
389#327—611no—
390#327—612no—
391#327—611no—
392#327—612no—
393#327—612no—
394#327—612no—
395#327—612no—
396C61#1754711yescharacteristic, complemented, Sylow
397C2×#41—612no—
398C2×#41—1221no—
399C22×D4—612no—
400C22×D4—1222no—
401C22×D4—1221no—
402C22×D4D24411yescharacteristic
403C23×C4—1222no—
404C23×C4C22×D6112yes—
405C2×M16—22no—
406C22×C8—22no—
407C4⋊Q8—611no—
408#127—611no—
409#127—1221no—
410#126—1222no—
411#126—1221no—
412#125—611no—
413#125—1221no—
414#124—611no—
415#124—1222no—
416#124—1221no—
417#123—1221no—
418#123—1222no—
419#123—1222no—
420#123—1222no—
421C22⋊Q8—612no—
422C22⋊Q8—611no—
423C22⋊Q8—1222no—
424#121—612no—
425#121—612no—
426#121—612no—
427#121—611no—
428#121—612no—
429#121—1222no—
430#121—1221no—
431#121—1222no—
432#121—1221no—
433#121—1222no—
434#121—1221no—
435#121—1222no—
436#121—1222no—
437#120—1222no—
438#120—1222no—
439#120—1222no—
440C4×Q8—611no—
441C4×D4—611no—
442C4×D4—612no—
443C4×D4—1228no—
444C4×D4—1221no—
445C4×D4—1222no—
446C4×D4—1221no—
447C4×D4—1222no—
448C4×D4—1221no—
449C4×D4—1222no—
450C4×D4—1221no—
451C4×D4C4×D6111yescharacteristic
452C4×D4C4×D6112yes—
453C4×D4C4×D6111yescharacteristic
454C4×D4C22⋊D6111yescharacteristic
455C4×D4C22⋊D6112yes—
456C4×D4C22⋊D6111yescharacteristic
457#117—612no—
458#117—1221no—
459#117—1221no—
460C2×C4⋊C4—612no—
461C2×C4⋊C4—1221no—
462C2×C4⋊C4D24411yescharacteristic
463C2×C22⋊C4—1222no—
464C2×C22⋊C4—1222no—
465C2×C22⋊C4—1222no—
466C2×C22⋊C4D24412yes—
467C2×C42—1221no—
468C2×C42—1222no—
469C2×C42—1221no—
470C2×C42C22×D6111yescharacteristic
471C4⋊C8—21no—
472C4⋊C8—21no—
473C22⋊C8—22no—
474C22⋊C8—22no—
475C22⋊C8C22×D6111yescharacteristic
476C22⋊C8C22×D6112yes—
477C22⋊C8C22×D6111yescharacteristic
478#97—21no—
479C4×C8—21no—
480#95—611no—
481#95—612no—
482#95—611no—
483#95—1222no—
484#95—1221no—
485C24—1222no—
486C24C2×D24412yes—
487#41—4881no—
488#41—4881no—
489#41—4882no—
490C2×Q8—611no—
491C2×Q8—1221no—
492C2×D4—24no—
493C2×D4—611no—
494C2×D4—612no—
495C2×D4—1222no—
496C2×D4—1222no—
497C2×D4—1222no—
498C2×D4—1222no—
499C2×D4—1221no—
500C2×D4—1222no—
501C2×D4—1221no—
502C2×D4—1222no—
503C2×D4—1221no—
504C2×D4—4882no—
505C2×D4—4882no—
506C2×D4—4882no—
507C2×D4—2444no—
508C2×D4#1175819812yes—
509C2×D4#1175819811yescharacteristic
510C2×D4#1175819811yescharacteristic
511C22×C4—82no—
512C22×C4—1228no—
513C22×C4—1222no—
514C22×C4—1221no—
515C22×C4—1221no—
516C22×C4—1222no—
517C22×C4—1222no—
518C22×C4—1222no—
519C22×C4—1221no—
520C22×C4—4882no—
521C22×C4—4882no—
522C22×C4C2×C4×D6112yes—
523C22×C4C2×C4×D6112yes—
524C22×C4C2×D24411yescharacteristic
525C22×C4C2×D24411yescharacteristic
526C22×C4C2×D24412yes—
527C22×C4C2×C22⋊D6112yes—
528C22×C4C2×C22⋊D6112yes—
529C22×C4C23×D6111yescharacteristic
530M16—82no—
531C2×C8—21no—
532C2×C8—21no—
533C2×C8—22no—
534C2×C8—82no—
535C4⋊C4—611no—
536C4⋊C4—612no—
537C4⋊C4—611no—
538C4⋊C4—1224no—
539C4⋊C4—1221no—
540C4⋊C4—1222no—
541C4⋊C4—1221no—
542C4⋊C4—1221no—
543C4⋊C4—1222no—
544C4⋊C4—1221no—
545C4⋊C4—1221no—
546C4⋊C4#1175819811yescharacteristic
547C4⋊C4#1175819811yescharacteristic
548C4⋊C4#1175819812yes—
549C22⋊C4—1228no—
550C22⋊C4—1221no—
551C22⋊C4—1222no—
552C22⋊C4—1222no—
553C22⋊C4—1221no—
554C22⋊C4—1222no—
555C22⋊C4—1222no—
556C22⋊C4—1221no—
557C22⋊C4—1222no—
558C22⋊C4—1221no—
559C22⋊C4—1222no—
560C22⋊C4—1221no—
561C22⋊C4—1222no—
562C22⋊C4#1175819812yes—
563C22⋊C4#1175819812yes—
564C22⋊C4#1175819812yes—
565C22⋊C4#1175819812yes—
566C42—1224no—
567C42—1222no—
568C42—1221no—
569C42—4881no—
570C42—4882no—
571C42C2×C4×D6111yescharacteristic
572C42C2×C4×D6111yescharacteristic
573C42C2×C22⋊D6111yescharacteristic
574C42C2×C22⋊D6111yescharacteristic
575C23—24no—
576C23—22no—
577C23—22no—
578C23—42no—
579C23—1221no—
580C23—1222no—
581C23—4882no—
582C23—4882no—
583C23—2444no—
584C23C2×#1175819812yes—
585C23C2×#1175819812yes—
586C23C22×D24411yescharacteristic
587Q8—4881no—
588Q8—2441no—
589D4—24no—
590D4—22no—
591D4—4882no—
592D4—4881no—
593D4—4882no—
594D4—4882no—
595D4—4882no—
596D4—2441no—
597D4—2442no—
598D4—2444no—
599D4—2441no—
600D4—2442no—
601D4—2441no—
602D4—2442no—
603D4—2442no—
604D4#1451970314yes—
605C2×C4—21no—
606C2×C4—21no—
607C2×C4—22no—
608C2×C4—42no—
609C2×C4—42no—
610C2×C4—42no—
611C2×C4—41no—
612C2×C4—42no—
613C2×C4—42no—
614C2×C4—1222no—
615C2×C4—1222no—
616C2×C4—1224no—
617C2×C4—1221no—
618C2×C4—1222no—
619C2×C4—1221no—
620C2×C4—1221no—
621C2×C4—4882no—
622C2×C4—4882no—
623C2×C4—4882no—
624C2×C4—4888no—
625C2×C4—2441no—
626C2×C4—2442no—
627C2×C4—2441no—
628C2×C4—2442no—
629C2×C4—2441no—
630C2×C4—2441no—
631C2×C4—2442no—
632C2×C4C2×#1175819812yes—
633C2×C4C2×#1175819811yescharacteristic
634C2×C4C2×#1175819811yescharacteristic
635C2×C4C2×#1175819811yescharacteristic
636C2×C4C2×#1175819812yes—
637C2×C4C2×#1175819811yescharacteristic
638C2×C4C22×C4×D6111yescharacteristic
639C2×C4C22×C22⋊D6111yescharacteristic
640C8—41no—
641C8—42no—
642C8—41no—
643C22—22no—
644C22—21no—
645C22—21no—
646C22—22no—
647C22—22no—
648C22—22no—
649C22—22no—
650C22—44no—
651C22—44no—
652C22—9764no—
653C22—2442no—
654C22—2441no—
655C22—2441no—
656C22—2442no—
657C22—2442no—
658C22—2441no—
659C22C2×#1451970314yes—
660C22C22×#1175819811yescharacteristic
661C22#1684056711yescharacteristic
662C22#1684057411yescharacteristic
663C4—21no—
664C4—21no—
665C4—21no—
666C4—21no—
667C4—21no—
668C4—22no—
669C4—22no—
670C4—2442no—
671C4—2444no—
672C4—2442no—
673C4—2441no—
674C4—2442no—
675C4—2441no—
676C4—2441no—
677C4C2×#1451970312yes—
678C2—21no—
679C2—21no—
680C2—24no—
681C2—42no—
682C2—4881no—
683C2—4882no—
684C2#2145427911yescharacteristic
685C2#2145434611yescharacteristic
686C2C22×#1451970311yescharacteristic
subgroupG/H
centerC22C22×#11758198
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#2974C2
socleC22×C61C22×C22⋊C4
prime radical#21459851C2
cosocleC22×C4×C61C24
hypercenter#2974D61
hypocenterC61#17547
LCSG ▷ C2×C4×C61 ▷ C22×C61 ▷ C61
UCSC1 ◁ C22 ◁ C2×C4×D4 ◁ #2974

Complements

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

NH ≅ G/Ntype
2. #21448180C2semidirect
3. #21444345C2semidirect
4. #21444336C2semidirect
5. #21444328C2semidirect
6. #21444324C2semidirect
7. #21444315C2semidirect
8. #21444311C2semidirect
9. #21444306C2semidirect
10. C2×#16839497C2semidirect
11. C61×#2974C2semidirect
12. #16840477C4semidirect
13. #16840469C4semidirect
15. #16840458C4semidirect
16. #16840433C4semidirect
17. #16840408C4semidirect
19. D4×D244C4semidirect
30. C4×C4⋊Dic61C22semidirect
32. C4×C22⋊Dic61C22semidirect
33. #16839608C22semidirect
34. C2×#14519684C22semidirect
35. #16839500C22semidirect
36. #16839500C22semidirect
37. #16839500C22semidirect
41. #16839497C22semidirect
42. #16839497C22semidirect
43. #16839497C22semidirect
44. #16839497C22semidirect
49. C61×#432C22semidirect
50. C61×#431C22semidirect
51. C61×#407C22semidirect
52. C2×C22⋊C8×C61C22semidirect
54. C2×#11758222C2×C4semidirect
55. C22×D244C2×C4semidirect
59. #14519777C2×C4semidirect
60. #14519774C2×C4semidirect
64. #14519769C2×C4semidirect
67. #14519765C2×C4semidirect
73. #14519756C2×C4semidirect
80. #14519751C2×C4semidirect
81. #14519751C2×C4semidirect
82. #14519751C2×C4semidirect
92. C4×Dic122C2×C4semidirect
94. C4×D244C2×C4semidirect
95. C4×D244C2×C4semidirect
103. #14519736C2×C4semidirect
107. C2×C4⋊Dic61C2×C4semidirect
336. #2974D61semidirect
376. #432C2×D61semidirect
377. #431C2×D61semidirect
378. #407C2×D61semidirect
379. C2×C22⋊C8C2×D61semidirect
396. C61#17547semidirect

Maximal subgroups

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

subgroupindex
#214598512
#214481802
#214443452
#214443362
#214443282
#214443242
#214443152
#214443112
#214443062
C2×#168394972
C61×#29742
#1754761