Finite Group Databasebeta

← #29696351

Subgroups — #29696351

Order 15616.

1130 conjugacy classes of subgroups.

The subgroup lattice has 712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840485C211yesmaximal, characteristic
2C2×#16839835C211yesmaximal, characteristic
3#21448751C211yesmaximal, characteristic
4#21446792C211yesmaximal, characteristic, complemented
5#21446767C211yesmaximal, characteristic, complemented
6#21446249C211yesmaximal, characteristic, complemented
7#21446239C211yesmaximal, characteristic, complemented
8#21446128C211yesmaximal, characteristic, complemented
9#21446123C211yesmaximal, characteristic, complemented
10#21445913C211yesmaximal, characteristic, complemented
11#21445912C211yesmaximal, characteristic, complemented
12#21445834C211yesmaximal, characteristic, complemented
13#21445537C211yesmaximal, characteristic, complemented
14#21445534C211yesmaximal, characteristic, complemented
15C61×#1763C211yesmaximal, characteristic, complemented
16C22×#11758189C2211yescharacteristic
17C22×C8×D61C2211yescharacteristic
18#16840485—24no—
19#16840485C418yescomplemented
20C2×#14519777C2211yescharacteristic
21C2×#14519772—21no—
22C2×#14519772—21no—
23C2×#14519765—21no—
24C2×#14519753C2211yescharacteristic
25C2×#14519753C2211yescharacteristic
26C2×C4×Dic122—21no—
27C2×C4×D244C2211yescharacteristic
28C2×#14519735C2211yescharacteristic
29C2×#14519735C2211yescharacteristic
30C2×#14519735C2211yescharacteristic
31C2×C4⋊C4×D61C2211yescharacteristic
32#16839835—24no—
33C2×C4⋊#92418C2211yescharacteristic
34C2×#14519701C2211yescharacteristic
35C2×#14519701C2211yescharacteristic
36C2×#14519689C2211yescharacteristic
37C2×#14519689C2211yescharacteristic
38#16839653—21no—
39#16839647—21no—
40#16839640—21no—
41#16839628C2211yescharacteristic
42#16839619C2211yescharacteristic
43#16839619C2211yescharacteristic
44C4×#11758198—21no—
45#16839525C2211yescharacteristic
46#16839525C2211yescharacteristic
47#16839525C2211yescharacteristic
48#16839525C2211yescharacteristic
49#16839524C2211yescharacteristic
50#16839524C2211yescharacteristic
51#16839524C2211yescharacteristic
52#16839524C2211yescharacteristic
53#16839524C2211yescharacteristic
54#16839524C2211yescharacteristic
55C2×C4×Q8×C61C2211yescharacteristic
56C2×#103×C61C2211yescharacteristic
57C2×#103×C61C2211yescharacteristic
58C2×#97×C61C2211yescharacteristic
59C4×C4⋊C4×C61C2211yescharacteristic
60C61×#340C2211yescharacteristic
61C61×#340C2211yescharacteristic
62C22×Dic122—21no—
63C22×D244D411yescharacteristic
64C22×C4×D61—21no—
65C22×C4×D61C2311yescharacteristic
66C22×C4×D61C2311yescharacteristic
67C2×#11758189—22no—
68C2×#11758189—22no—
69C2×#11758189—41no—
70C22×#92418C2311yescharacteristic
71C22×#92418C2311yescharacteristic
72C2×C8×D61—22no—
73C2×C8×D61—22no—
74C2×C8×D61—41no—
75#14519777—22no—
76#14519777C2×C414yescomplemented
77#14519772—28no—
78#14519772—28no—
79#14519765—28no—
80#14519753—22no—
81#14519753—22no—
82#14519753C2×C414yes—
83#14519753C2×C414yescomplemented
84C4×Dic122—28no—
85C4×D244C2×C414yes—
86C4×D244D414yes—
87#14519735—22no—
88#14519735—22no—
89#14519735—22no—
90#14519735—41no—
91#14519735C2×C414yes—
92#14519735C2×C414yescomplemented
93C2×C4⋊Dic61—21no—
94C2×C4⋊Dic61D411yescharacteristic
95C2×C4⋊Dic61C2311yescharacteristic
96C2×C4⋊Dic61C2311yescharacteristic
97C2×C4⋊Dic61C2311yescharacteristic
98C2×C4⋊Dic61C2311yescharacteristic
99C2×#11758196—21no—
100C2×#11758196—21no—
101C2×#11758196—21no—
102C4⋊C4×D61—22no—
103C4⋊C4×D61—41no—
104C2×#11758198—21no—
105C2×#11758198—21no—
106C2×#11758198—21no—
107C2×#11758198—21no—
108C2×#11758198—21no—
109C2×#11758198—21no—
110C2×#11758198—21no—
111C2×#11758198D411yescharacteristic
112C2×#11758198D411yescharacteristic
113C2×C4×Dic61—21no—
114C2×C4×Dic61—21no—
115C2×C4×Dic61—21no—
116C4⋊#92418—22no—
117#14519701—41no—
118#14519701—41no—
119#14519689—22no—
120#14519689—22no—
121#14519684—21no—
122#14519684—21no—
123#14519684—21no—
124#14519684—21no—
125C22×Q8×C61C2311yescharacteristic
126C22×C8×C61C2311yescharacteristic
127C22×C8×C61C2311yescharacteristic
128C4×Q8×C61—22no—
129C4×Q8×C61C2×C414yescomplemented
130C2×C4⋊C4×C61—21no—
131C2×C4⋊C4×C61C2311yescharacteristic
132C2×C4⋊C4×C61C2311yescharacteristic
133C2×C4⋊C4×C61C2311yescharacteristic
134C2×C42×C61—21no—
135C2×C42×C61—21no—
136C2×C42×C61C2311yescharacteristic
137#103×C61—22no—
138#103×C61—22no—
139#97×C61—22no—
140#95×C61—21no—
141C23×D61C2×D411yescharacteristic
142C23×D61C2×D411yescharacteristic
143C2×Q8×C61—21no—
144C2×Q8×C61—21no—
145C2×Q8×C61—21no—
146C2×Q8×C61—21no—
147C2×Q8×C61—21no—
148C2×Q8×C61C22×C412yes—
149C22×C4×C61—21no—
150C22×C4×C61—21no—
151C22×C4×C61—21no—
152C22×C4×C61—21no—
153C22×C4×C61C2×D411yescharacteristic
154C22×C4×C61C2×D411yescharacteristic
155C22×C4×C61C2411yescharacteristic
156C22×Dic61—21no—
157C22×Dic61—21no—
158C22×Dic61—21no—
159C22×Dic61—21no—
160C22×Dic61C2×D411yescharacteristic
161C22×Dic61C2×D411yescharacteristic
162C2×D244—41no—
163C2×D244—41no—
164C2×D244C22⋊C414yes—
165C2×C4×D61—21no—
166C2×C4×D61—21no—
167C2×C4×D61—21no—
168C2×C4×D61—21no—
169C2×C4×D61—21no—
170C2×C4×D61—21no—
171C2×C4×D61—21no—
172C2×C4×D61—21no—
173C2×C4×D61—42no—
174C2×C4×D61—42no—
175C2×C4×D61—81no—
176C2×C4×D61C22×C412yes—
177C2×C4×D61C22×C412yes—
178C2×C4×D61C2×D412yes—
179C2×C4×D61C2×D412yes—
180C2×Dic122—24no—
181C2×Dic122—42no—
182C2×Dic122—42no—
183C2×C8×C61—21no—
184C2×C8×C61—21no—
185C2×C8×C61—21no—
186C2×C8×C61—21no—
187C2×C8×C61—21no—
188C2×C8×C61#4112yes—
189C4⋊C4×C61—24no—
190C4⋊C4×C61—21no—
191C4⋊C4×C61—21no—
192C4⋊C4×C61—21no—
193C4⋊C4×C61—21no—
194C4⋊C4×C61C22×C412yes—
195C4⋊C4×C61#4112yes—
196C42×C61—24no—
197C42×C61—81no—
198C42×C61C22×C412yes—
199C42×C61C2×D412yes—
200#11758198—24no—
201#11758198—24no—
202#11758198—24no—
203#11758198—24no—
204#11758198—42no—
205#11758198—42no—
206#11758198—81no—
207#11758198C22⋊C414yes—
208#11758198C22⋊C414yes—
209C4⋊Dic61—24no—
210C4⋊Dic61—21no—
211C4⋊Dic61—21no—
212C4⋊Dic61—21no—
213C4⋊Dic61—21no—
214C4⋊Dic61—21no—
215C4⋊Dic61—21no—
216C4⋊Dic61C22⋊C414yes—
217C4⋊Dic61C22×C412yes—
218C4⋊Dic61C22×C412yes—
219#11758196—24no—
220#11758196—24no—
221#11758196—42no—
222C4×Dic61—24no—
223C4×Dic61—24no—
224C4×Dic61—42no—
225C2×#92418—21no—
226C2×#92418—21no—
227C2×#92418—21no—
228C2×#92418—21no—
229C2×#92418—21no—
230C2×#92418—21no—
231#11758189—44no—
232C8×D61—44no—
233C23×C61C22×D411yescharacteristic
234C22×D61—21no—
235C22×D61—21no—
236C22×D61—21no—
237C22×D61—21no—
238C22×D61—21no—
239C22×D61—21no—
240C22×D61—21no—
241C22×D61—21no—
242C22×D61—21no—
243C22×D61—21no—
244C22×D61—21no—
245C22×D61—21no—
246C22×D61C2×C22⋊C412yes—
247C22×D61C2×C22⋊C412yes—
248Q8×C61—22no—
249Q8×C61—22no—
250Q8×C61—41no—
251Q8×C61—41no—
252C2×C4×C61—21no—
253C2×C4×C61—21no—
254C2×C4×C61—21no—
255C2×C4×C61—21no—
256C2×C4×C61—22no—
257C2×C4×C61—22no—
258C2×C4×C61—22no—
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×C61C2×C22⋊C412yes—
269C2×C4×C61C2×C22⋊C412yes—
270C2×C4×C61C23×C411yescharacteristic
271C2×C4×C61C22×D411yescharacteristic
272C2×C4×C61C2×#4111yescharacteristic
273C2×C4×C61C2×#4111yescharacteristic
274C2×C4×C61H(5,𝔽2)11yescharacteristic
275C2×C4×C612−1+411yescharacteristic
276C2×Dic61—21no—
277C2×Dic61—21no—
278C2×Dic61—21no—
279C2×Dic61—21no—
280C2×Dic61—22no—
281C2×Dic61—22no—
282C2×Dic61—41no—
283C2×Dic61—41no—
284C2×Dic61—41no—
285C2×Dic61—41no—
286C2×Dic61—41no—
287C2×Dic61—41no—
288C2×Dic61—41no—
289C2×Dic61—41no—
290C2×Dic61—41no—
291C2×Dic61—41no—
292C2×Dic61C2×C22⋊C412yes—
293C2×Dic61C2×C22⋊C412yes—
294D244—44no—
295C4×D61—22no—
296C4×D61—22no—
297C4×D61—22no—
298C4×D61—22no—
299C4×D61—22no—
300C4×D61—22no—
301C4×D61—22no—
302C4×D61—22no—
303C4×D61—84no—
304Dic122—48no—
305C8×C61—22no—
306C8×C61—41no—
307#92418—41no—
308#92418—41no—
309#22494—611nomaximal, Sylow
310C22×C61C22×C22⋊C411yescharacteristic
311C22×C61#54611yescharacteristic
312C22×C61#54711yescharacteristic
313C22×C61#57511yescharacteristic
314C22×C61#57511yescharacteristic
315C22×C61#57711yescharacteristic
316C22×C61#57811yescharacteristic
317C2×D61—22no—
318C2×D61—22no—
319C2×D61—22no—
320C2×D61—22no—
321C2×D61—22no—
322C2×D61—22no—
323C2×D61—41no—
324C2×D61—41no—
325C2×D61—41no—
326C2×D61—41no—
327C2×D61—41no—
328C2×D61—41no—
329C2×D61—41no—
330C2×D61—41no—
331C4×C61—22no—
332C4×C61—22no—
333C4×C61—42no—
334C4×C61—42no—
335C4×C61—42no—
336C4×C61—81no—
337C4×C61C4×#4111yescharacteristic
338C4×C61#52011yescharacteristic
339C4×C61#54611yescharacteristic
340C4×C61#54711yescharacteristic
341Dic61—22no—
342Dic61—22no—
343Dic61—42no—
344Dic61—42no—
345Dic61—81no—
346Dic61—81no—
347C2×#556—611no—
348C2×#435—611no—
349#2352—611no—
350#1993—611no—
351#1987—611no—
352#1894—611no—
353#1892—611no—
354#1873—611no—
355#1872—611no—
356#1825—611no—
357#1825—611no—
358#1805—611no—
359#1763D6111yescharacteristic, complemented
360#1736—611no—
361#1735—611no—
362C2×C61#233911yescharacteristic
363C2×C61#289611yescharacteristic
364C2×C61#289811yescharacteristic
365C2×C61#331111yescharacteristic
366C2×C61#331311yescharacteristic
367C2×C61#334911yescharacteristic
368C2×C61#335011yescharacteristic
369D61—42no—
370D61—42no—
371C22×M16—611no—
372C23×C8—611no—
373#556—618no—
374#556—1224no—
375C2×C4⋊Q8—611no—
376C2×#126—1221no—
377C2×#126—1221no—
378C2×#124—1221no—
379C2×C22⋊Q8—611no—
380C2×C22⋊Q8—611no—
381C2×C4×Q8—1221no—
382C2×C4×Q8C2×D6111yescharacteristic
383C2×C4×D4—611no—
384C2×#117—611no—
385C2×#117—611no—
386C2×#117—611no—
387C22×C4⋊C4—611no—
388#435—1224no—
389C2×C4⋊C8—611no—
390C2×#103—611no—
391C2×#103—611no—
392C2×#103C2×D6111yescharacteristic
393C2×#103C2×D6111yescharacteristic
394C2×C22⋊C8—611no—
395C2×C22⋊C8—611no—
396C2×#97C2×D6111yescharacteristic
397#388—1221no—
398#387—1221no—
399#386—1221no—
400#382—611no—
401#380—611no—
402#380—611no—
403C4×C4⋊C4C2×D6111yescharacteristic
404C4×C22⋊C4—1221no—
405#340—611no—
406#340—611no—
407#340—611no—
408#340—611no—
409#340—611no—
410#340—611no—
411#340—611no—
412#340—611no—
413#340—611no—
414#340—611no—
415#340C2×D6111yescharacteristic
416#340C2×D6111yescharacteristic
417C61#2249411yescharacteristic, complemented, Sylow
418C22×Q8—1221no—
419C22×Q8C22×D6111yescharacteristic
420C22×D4—611no—
421C23×C4—611no—
422C23×C4—611no—
423C23×C4—1221no—
424C2×M16—1222no—
425C2×M16—1222no—
426C2×M16—2441no—
427C22×C8—611no—
428C22×C8—611no—
429C22×C8—1222no—
430C22×C8—1222no—
431C22×C8—2441no—
432C22×C8C22×D6111yescharacteristic
433C22×C8C22×D6111yescharacteristic
434C4⋊Q8—614no—
435C4⋊Q8—1222no—
436#126—1228no—
437#126—1228no—
438#124—1228no—
439C22⋊Q8—614no—
440C22⋊Q8—614no—
441C22⋊Q8—1222no—
442C22⋊Q8—1222no—
443C4×Q8—22no—
444C4×Q8—1228no—
445C4×Q8C4×D6114yescomplemented
446C4×D4—614no—
447C4×D4—614no—
448#117—614no—
449#117—614no—
450#117—1222no—
451#117—1222no—
452#117—1222no—
453#117—2441no—
454C2×C4⋊C4—21no—
455C2×C4⋊C4—611no—
456C2×C4⋊C4—611no—
457C2×C4⋊C4—611no—
458C2×C4⋊C4—611no—
459C2×C4⋊C4—611no—
460C2×C4⋊C4—1221no—
461C2×C4⋊C4—1221no—
462C2×C4⋊C4—1221no—
463C2×C4⋊C4—1222no—
464C2×C4⋊C4—1221no—
465C2×C4⋊C4—2441no—
466C2×C4⋊C4C22×D6111yescharacteristic
467C2×C4⋊C4C22×D6111yescharacteristic
468C2×C4⋊C4C22×D6111yescharacteristic
469C2×C22⋊C4—611no—
470C2×C22⋊C4—611no—
471C2×C22⋊C4—1221no—
472C2×C22⋊C4—1221no—
473C2×C22⋊C4—1221no—
474C2×C22⋊C4—1221no—
475C2×C22⋊C4—1221no—
476C2×C22⋊C4—1221no—
477C2×C22⋊C4—1221no—
478C2×C42—21no—
479C2×C42—21no—
480C2×C42—1221no—
481C2×C42—1221no—
482C2×C42—1221no—
483C2×C42C22×D6111yescharacteristic
484C4⋊C8—1222no—
485#103—22no—
486#103—22no—
487#103—2441no—
488#103—2441no—
489C22⋊C8—1222no—
490C22⋊C8—1222no—
491#97—22no—
492#95—21no—
493#95—1221no—
494#95—1221no—
495#95—1221no—
496#95—1221no—
497C24—611no—
498C24—611no—
499C2×Q8—21no—
500C2×Q8—21no—
501C2×Q8—21no—
502C2×Q8—21no—
503C2×Q8—21no—
504C2×Q8—1224no—
505C2×Q8—2442no—
506C2×Q8—2442no—
507C2×Q8C2×C4×D6112yes—
508C2×D4—614no—
509C2×D4—2441no—
510C2×D4—2441no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—611no—
516C22×C4—611no—
517C22×C4—612no—
518C22×C4—612no—
519C22×C4—612no—
520C22×C4—612no—
521C22×C4—1221no—
522C22×C4—1221no—
523C22×C4—1221no—
524C22×C4—1221no—
525C22×C4—1221no—
526C22×C4—1221no—
527C22×C4—1221no—
528C22×C4—1221no—
529C22×C4—1221no—
530C22×C4—1221no—
531C22×C4—1221no—
532C22×C4—1221no—
533C22×C4—4881no—
534C22×C4—2442no—
535C22×C4—2442no—
536C22×C4D4×D6111yescharacteristic
537C22×C4D4×D6111yescharacteristic
538C22×C4C23×D6111yescharacteristic
539M16—2444no—
540C2×C8—21no—
541C2×C8—21no—
542C2×C8—21no—
543C2×C8—21no—
544C2×C8—21no—
545C2×C8—1221no—
546C2×C8—1221no—
547C2×C8—1221no—
548C2×C8—1221no—
549C2×C8—1221no—
550C2×C8—1221no—
551C2×C8—2444no—
552C2×C8#1175822212yes—
553C4⋊C4—21no—
554C4⋊C4—21no—
555C4⋊C4—24no—
556C4⋊C4—21no—
557C4⋊C4—21no—
558C4⋊C4—614no—
559C4⋊C4—612no—
560C4⋊C4—612no—
561C4⋊C4—1224no—
562C4⋊C4—1224no—
563C4⋊C4—1221no—
564C4⋊C4—1221no—
565C4⋊C4—1224no—
566C4⋊C4—1221no—
567C4⋊C4—1221no—
568C4⋊C4—1221no—
569C4⋊C4—1221no—
570C4⋊C4—2442no—
571C4⋊C4C2×C4×D6112yes—
572C4⋊C4#1175822212yes—
573C22⋊C4—614no—
574C22⋊C4—614no—
575C22⋊C4—1224no—
576C22⋊C4—1224no—
577C22⋊C4—1224no—
578C22⋊C4—1224no—
579C22⋊C4—4881no—
580C22⋊C4—2442no—
581C22⋊C4—2442no—
582C42—24no—
583C42—81no—
584C42—1224no—
585C42—1224no—
586C42—2442no—
587C42C2×C4×D6112yes—
588C42D4×D6112yes—
589C23—612no—
590C23—612no—
591C23—1221no—
592C23—1221no—
593C23—1221no—
594C23—1221no—
595C23—1221no—
596C23—1221no—
597C23—1221no—
598C23—1221no—
599C23—1221no—
600C23—1221no—
601C23—1221no—
602C23—1221no—
603C23C2×D4×D6111yescharacteristic
604Q8—22no—
605Q8—22no—
606Q8—41no—
607Q8—41no—
608Q8—2448no—
609D4—2444no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—22no—
615C2×C4—22no—
616C2×C4—22no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—612no—
627C2×C4—612no—
628C2×C4—1221no—
629C2×C4—1221no—
630C2×C4—1221no—
631C2×C4—1221no—
632C2×C4—1222no—
633C2×C4—1222no—
634C2×C4—1222no—
635C2×C4—1222no—
636C2×C4—1222no—
637C2×C4—1222no—
638C2×C4—1222no—
639C2×C4—1222no—
640C2×C4—1222no—
641C2×C4—1222no—
642C2×C4—4884no—
643C2×C4—2441no—
644C2×C4—2441no—
645C2×C4—2441no—
646C2×C4—2441no—
647C2×C4—2441no—
648C2×C4—2441no—
649C2×C4—2441no—
650C2×C4—2441no—
651C2×C4—2441no—
652C2×C4—2441no—
653C2×C4C22⋊C4×D6112yes—
654C2×C4C22⋊C4×D6112yes—
655C2×C4C22×C4×D6111yescharacteristic
656C2×C4C2×D4×D6111yescharacteristic
657C2×C4C2×#1175822211yescharacteristic
658C2×C4C2×#1175822211yescharacteristic
659C2×C4#1451982311yescharacteristic
660C2×C4#1451982411yescharacteristic
661C8—22no—
662C8—41no—
663C8—2441no—
664C8—2441no—
665C22—1222no—
666C22—1222no—
667C22—1222no—
668C22—1222no—
669C22—1222no—
670C22—1222no—
671C22—2441no—
672C22—2441no—
673C22—2441no—
674C22—2441no—
675C22—2441no—
676C22—2441no—
677C22—2441no—
678C22—2441no—
679C22C2×C22⋊C4×D6111yescharacteristic
680C22#1684040811yescharacteristic
681C22#1684041711yescharacteristic
682C22#1684056111yescharacteristic
683C22#1684056111yescharacteristic
684C22#1684057211yescharacteristic
685C22#1684057811yescharacteristic
686C4—22no—
687C4—22no—
688C4—42no—
689C4—42no—
690C4—42no—
691C4—81no—
692C4—1222no—
693C4—1222no—
694C4—4881no—
695C4—4881no—
696C4—2442no—
697C4—2442no—
698C4C4×#1175822211yescharacteristic
699C4#1684024211yescharacteristic
700C4#1684040811yescharacteristic
701C4#1684041711yescharacteristic
702C2—2442no—
703C2—2442no—
704C2#2144865011yescharacteristic
705C2#2145433711yescharacteristic
706C2#2145435011yescharacteristic
707C2#2145786011yescharacteristic
708C2#2145789011yescharacteristic
709C2#2145835411yescharacteristic
710C2#2145836911yescharacteristic
subgroupG/H
centerC23C2×D4×D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#1763C2
socleC23×C61C22×D4
prime radicalC22×D244D4
cosocleC22×C4×C61C24
hypercenter#1763D61
hypocenterC61#22494
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1763

Complements

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

NH ≅ G/Ntype
4. #21446792C2semidirect
5. #21446767C2semidirect
6. #21446249C2semidirect
7. #21446239C2semidirect
8. #21446128C2semidirect
9. #21446123C2semidirect
10. #21445913C2semidirect
11. #21445912C2semidirect
12. #21445834C2semidirect
13. #21445537C2semidirect
14. #21445534C2semidirect
15. C61×#1763C2semidirect
19. #16840485C4semidirect
76. #14519777C2×C4semidirect
83. #14519753C2×C4semidirect
92. #14519735C2×C4semidirect
129. C4×Q8×C61C2×C4semidirect
359. #1763D61semidirect
417. C61#22494semidirect
445. C4×Q8C4×D61semidirect

Maximal subgroups

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

subgroupindex
C2×#168404852
C2×#168398352
#214487512
#214467922
#214467672
#214462492
#214462392
#214461282
#214461232
#214459132
#214459122
#214458342
#214455372
#214455342
C61×#17632
#2249461