Finite Group Databasebeta

← #29700293

Subgroups — #29700293

Order 15616.

1118 conjugacy classes of subgroups.

The subgroup lattice has 736 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16839926C211yesmaximal, characteristic
2C2×#16839861C211yesmaximal, characteristic, complemented
3C2×#16839756C211yesmaximal, characteristic
4#21448846C211yesmaximal, characteristic, complemented
5#21448647C211yesmaximal, characteristic
6#21446688C211yesmaximal, characteristic, complemented
7#21446507C211yesmaximal, characteristic, complemented
8#21446459C211yesmaximal, characteristic, complemented
9#21446240C211yesmaximal, characteristic, complemented
10#21446161C211yesmaximal, characteristic, complemented
11#21446154C211yesmaximal, characteristic, complemented
12#21446077C211yesmaximal, characteristic, complemented
13#21445643C211yesmaximal, characteristic, complemented
14#21445598C211yesmaximal, characteristic, complemented
15C61×#1854C211yesmaximal, characteristic, complemented
16C22×#11758222C2211yescharacteristic
17C22×Dic244C2211yescharacteristic
18C22×#11758190C2211yescharacteristic
19C23×#92418C2211yescharacteristic
20C2×#14519756C2211yescharacteristic
21C2×#14519742C2211yescharacteristic
22C2×#14519739C2211yescharacteristic
23C2×#14519739C2211yescharacteristic
24#16839926C418yescomplemented
25#16839861—24no—
26#16839756—24no—
27C2×#14519702C2211yescharacteristic
28C2×#14519700C2211yescharacteristic
29C2×#14519700C2211yescharacteristic
30C2×#14519700C2211yescharacteristic
31C2×#14519700C2211yescharacteristic
32C2×#14519699C2211yescharacteristic
33C2×#14519697C2211yescharacteristic
34C2×#14519697C2211yescharacteristic
35C2×#14519687C2211yescharacteristic
36C2×#14519687C2211yescharacteristic
37#16839667C2211yescharacteristic
38#16839667C2211yescharacteristic
39#16839667C2211yescharacteristic
40#16839658C2211yescharacteristic
41#16839656—21no—
42#16839650—21no—
43#16839646—21no—
44#16839638—21no—
45#16839638—21no—
46#16839624—21no—
47C4⋊C4×Dic61C2211yescharacteristic
48C4×#11758196—21no—
49C4×C22⋊Dic61C2211yescharacteristic
50#95×D61—21no—
51#16839524C2211yescharacteristic
52#16839524C2211yescharacteristic
53#16839516C2211yescharacteristic
54#16839516C2211yescharacteristic
55C2×#117×C61C2211yescharacteristic
56C2×#107×C61C2211yescharacteristic
57C2×#106×C61C2211yescharacteristic
58C2×C22⋊C8×C61C2211yescharacteristic
59C61×#380C2211yescharacteristic
60C61×#340C2211yescharacteristic
61C61×#340C2211yescharacteristic
62C2×#11758222—22no—
63C2×#11758222—22no—
64C2×#11758222—22no—
65C2×#11758222—41no—
66C2×#11758222—41no—
67C2×#11758222C2×C414yes—
68C22×Dic122C2311yescharacteristic
69C22×Dic122C2311yescharacteristic
70C22×D244C2311yescharacteristic
71C22×C22⋊D61—21no—
72C22×C4×D61—21no—
73C22×C4×D61—21no—
74C22×C4×D61—21no—
75C2×Dic244—41no—
76C2×Dic244—41no—
77C2×Dic244C2×C414yescomplemented
78C2×#11758190—22no—
79C2×#11758190—22no—
80C2×#11758190C2×C414yes—
81C22×#92418—22no—
82C22×#92418—22no—
83C22×#92418—41no—
84C22×#92418C2311yescharacteristic
85C22×#92418C2311yescharacteristic
86#14519756—22no—
87#14519756C2×C414yescomplemented
88#14519742—22no—
89#14519742—41no—
90#14519739—22no—
91#14519739—22no—
92#14519739—41no—
93#14519739—41no—
94C2×C4⋊Dic61C2311yescharacteristic
95C2×#11758196—21no—
96C2×#11758196—21no—
97C2×#11758196—21no—
98C2×C22⋊Dic61—21no—
99C2×C22⋊Dic61D411yescharacteristic
100C2×C22⋊Dic61D411yescharacteristic
101C2×#11758198—21no—
102C2×#11758198—21no—
103C2×C4×Dic61—21no—
104C2×C4×Dic61—21no—
105C2×C4×Dic61C2311yescharacteristic
106C2×C4×Dic61C2311yescharacteristic
107#14519702C2×C414yescomplemented
108#14519700—22no—
109#14519700—22no—
110#14519700—22no—
111#14519700—41no—
112#14519699C2×C414yes—
113#14519697—22no—
114#14519697D414yes—
115#14519687—22no—
116#14519687—41no—
117#14519684—21no—
118#14519684—21no—
119#14519684—21no—
120#14519684—21no—
121#14519684—21no—
122#14519684—21no—
123#14519684—21no—
124#14519684—21no—
125#14519684D411yescharacteristic
126#14519684D411yescharacteristic
127C23×C4×C61C2311yescharacteristic
128C22×C8×C61C2311yescharacteristic
129C22×C8×C61C2311yescharacteristic
130#117×C61—22no—
131#117×C61—41no—
132C2×C4⋊C4×C61C2311yescharacteristic
133C2×C4⋊C4×C61C2311yescharacteristic
134C2×C4⋊C4×C61C2311yescharacteristic
135C2×C4⋊C4×C61C2311yescharacteristic
136C2×C22⋊C4×C61—21no—
137C2×C22⋊C4×C61—21no—
138C2×C42×C61—21no—
139#107×C61—22no—
140#106×C61—41no—
141C22⋊C8×C61C2×C414yescomplemented
142#95×C61—21no—
143C24×C61C2×D411yescharacteristic
144C23×D61—21no—
145C22×C4×C61—21no—
146C22×C4×C61—21no—
147C22×C4×C61—21no—
148C22×C4×C61—21no—
149C22×C4×C61—21no—
150C22×C4×C61—21no—
151C22×C4×C61—21no—
152C22×C4×C61—21no—
153C22×C4×C61C22×C412yes—
154C22×C4×C61C2×D411yescharacteristic
155C22×C4×C61#4112yes—
156C22×C4×C61C2411yescharacteristic
157C2×C22⋊D61—24no—
158C2×C22⋊D61—42no—
159C2×C22⋊D61—42no—
160C22×Dic61—21no—
161C22×Dic61—21no—
162C22×Dic61—21no—
163C22×Dic61C2×D411yescharacteristic
164C22×Dic61C2×D411yescharacteristic
165C22×Dic61C2×D411yescharacteristic
166C22×Dic61C2×D411yescharacteristic
167#11758222—28no—
168#11758222—44no—
169#11758222—44no—
170#11758222—44no—
171C2×D244—21no—
172C2×D244—21no—
173C2×D244—21no—
174C2×D244C22×C412yes—
175C2×D244C2×D412yes—
176C2×D244#4112yes—
177C2×C4×D61—24no—
178C2×C4×D61—42no—
179C2×C4×D61—42no—
180C2×C4×D61—42no—
181C2×C4×D61—42no—
182C2×C4×D61—42no—
183C2×C4×D61—42no—
184C2×C4×D61—81no—
185C2×C4×D61—81no—
186C2×Dic122—21no—
187C2×Dic122—21no—
188C2×Dic122—21no—
189C2×Dic122—21no—
190C2×Dic122—21no—
191C2×Dic122—21no—
192C2×Dic122—21no—
193C2×Dic122—21no—
194C2×Dic122—21no—
195C2×Dic122—21no—
196C2×Dic122C22×C412yes—
197C2×Dic122C22×C412yes—
198C2×C8×C61—21no—
199C2×C8×C61—21no—
200C2×C8×C61—21no—
201C2×C8×C61—21no—
202C2×C8×C61C22×C412yes—
203C2×C8×C61C22×C412yes—
204C4⋊C4×C61—21no—
205C4⋊C4×C61—21no—
206C4⋊C4×C61—21no—
207C4⋊C4×C61—21no—
208C4⋊C4×C61—21no—
209C4⋊C4×C61—21no—
210C4⋊C4×C61—21no—
211C4⋊C4×C61C2×D412yes—
212C22⋊C4×C61—42no—
213C22⋊C4×C61—81no—
214C42×C61—42no—
215C22⋊Dic61—24no—
216C22⋊Dic61—41no—
217C22⋊Dic61—41no—
218#11758198—42no—
219#11758198—42no—
220C4⋊Dic61—21no—
221C4⋊Dic61C22×C412yes—
222#11758196—24no—
223#11758196—42no—
224#11758196—42no—
225C4×Dic61—21no—
226C4×Dic61—21no—
227C4×Dic61—21no—
228C4×Dic61—21no—
229C4×Dic61—42no—
230C4×Dic61—42no—
231C2×#92418—21no—
232C2×#92418—21no—
233C2×#92418—21no—
234C2×#92418—21no—
235C2×#92418—21no—
236C2×#92418—44no—
237C2×#92418C2×D412yes—
238Dic244—44no—
239#11758190—28no—
240C23×C61—21no—
241C23×C61—21no—
242C23×C61—21no—
243C23×C61—21no—
244C23×C61—21no—
245C23×C61—21no—
246C23×C61C4×D412yes—
247C23×C61C22×D411yescharacteristic
248C22×D61—22no—
249C22×D61—22no—
250C22×D61—22no—
251C22×D61—41no—
252C22×D61—41no—
253C22×D61—41no—
254C22×D61—41no—
255C2×C4×C61—21no—
256C2×C4×C61—21no—
257C2×C4×C61—22no—
258C2×C4×C61—22no—
259C2×C4×C61—22no—
260C2×C4×C61—22no—
261C2×C4×C61—22no—
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—41no—
270C2×C4×C61—41no—
271C2×C4×C61—41no—
272C2×C4×C61—41no—
273C2×C4×C61C4×D412yes—
274C2×C4×C61C23×C411yescharacteristic
275C2×C4×C61C22×D411yescharacteristic
276C2×C4×C61C2×#4111yescharacteristic
277C2×C4×C61C2×#4111yescharacteristic
278C2×C4×C61H(5,𝔽2)11yescharacteristic
279C2×C4×C61H(5,𝔽2)11yescharacteristic
280C22⋊D61—48no—
281C2×Dic61—22no—
282C2×Dic61—22no—
283C2×Dic61—22no—
284C2×Dic61—21no—
285C2×Dic61—21no—
286C2×Dic61—21no—
287C2×Dic61—21no—
288C2×Dic61—21no—
289C2×Dic61—21no—
290C2×Dic61—21no—
291C2×Dic61—21no—
292C2×Dic61—21no—
293C2×Dic61—21no—
294C2×Dic61—21no—
295C2×Dic61—21no—
296C2×Dic61—41no—
297C2×Dic61—41no—
298C2×Dic61—41no—
299C2×Dic61—41no—
300C2×Dic61—41no—
301C2×Dic61—41no—
302D244—22no—
303D244—22no—
304D244—22no—
305D244C4×D414yes—
306C4×D61—48no—
307C4×D61—84no—
308C4×D61—84no—
309Dic122—22no—
310Dic122—22no—
311Dic122—22no—
312Dic122—22no—
313Dic122—41no—
314Dic122—41no—
315Dic122—41no—
316Dic122—41no—
317C8×C61—22no—
318C8×C61—22no—
319#92418—22no—
320#92418—41no—
321#22856—611nomaximal, Sylow
322C22×C61—22no—
323C22×C61—22no—
324C22×C61—22no—
325C22×C61—41no—
326C22×C61—41no—
327C22×C61—41no—
328C22×C61—41no—
329C22×C61C2×C4×D411yescharacteristic
330C22×C61D4211yescharacteristic
331C22×C61#54611yescharacteristic
332C22×C61#57511yescharacteristic
333C22×C61#57511yescharacteristic
334C22×C61#57711yescharacteristic
335C22×C61#57811yescharacteristic
336C2×D61—24no—
337C2×D61—42no—
338C2×D61—42no—
339C2×D61—42no—
340C2×D61—42no—
341C2×D61—42no—
342C2×D61—42no—
343C4×C61—22no—
344C4×C61—42no—
345C4×C61—81no—
346C4×C61—81no—
347C4×C61—81no—
348C4×C61C2×C4×D411yescharacteristic
349C4×C61#51811yescharacteristic
350C4×C61#54611yescharacteristic
351C4×C61#55111yescharacteristic
352Dic61—42no—
353Dic61—42no—
354Dic61—42no—
355Dic61—41no—
356Dic61—41no—
357Dic61—41no—
358Dic61—41no—
359C2×#452—611no—
360C2×#440—611no—
361C2×#416—611no—
362#2362—611no—
363#2339—611no—
364#1971—611no—
365#1935—611no—
366#1928—611no—
367#1892—611no—
368#1878—611no—
369#1877—611no—
370#1864—611no—
371#1854D6111yescharacteristic, complemented
372#1762—611no—
373#1752—611no—
374C2×C61—42no—
375C2×C61#235811yescharacteristic
376C2×C61#294311yescharacteristic
377C2×C61#294711yescharacteristic
378C2×C61#326711yescharacteristic
379C2×C61#326911yescharacteristic
380C2×C61#331111yescharacteristic
381C2×C61#331511yescharacteristic
382D61—44no—
383C22×#41—611no—
384C22×Q16—611no—
385C22×SD16—611no—
386C23×C8—611no—
387C2×C22⋊Q8—611no—
388C2×C4×Q8—611no—
389C2×C4×D4—611no—
390C2×C4×D4—611no—
391C2×#117C2×D6111yescharacteristic
392#452—618no—
393#440—1224no—
394C2×#107C2×D6111yescharacteristic
395C2×#106C2×D6111yescharacteristic
396#416—1224no—
397C2×#103—611no—
398C2×#103—611no—
399C2×#103—611no—
400C2×#103—611no—
401C2×#103—611no—
402C2×#102—611no—
403C2×#102—611no—
404C2×#102—611no—
405C2×C22⋊C8C2×D6111yescharacteristic
406C2×#97—611no—
407C2×#97—611no—
408#391—611no—
409#391—611no—
410#391—611no—
411#389—611no—
412#388—1221no—
413#388—1221no—
414#387—1221no—
415#386—1221no—
416#386—1221no—
417#381—1221no—
418#380C2×D6111yescharacteristic
419C4×C4⋊C4—611no—
420C4×C4⋊C4—1221no—
421C4×C22⋊C4—611no—
422C2×#95—1221no—
423#340—611no—
424#340—611no—
425#340C2×D6111yescharacteristic
426#340C2×D6111yescharacteristic
427#336—611no—
428#336—611no—
429C61#2285611yescharacteristic, complemented, Sylow
430C2×#41—614no—
431C2×#41—1222no—
432C2×#41—1222no—
433C2×#41—1222no—
434C2×#41—2441no—
435C2×#41—2441no—
436C22×Q8—611no—
437C22×Q8—611no—
438C22×D4—611no—
439C22×D4—1221no—
440C23×C4—1221no—
441C23×C4—1221no—
442C23×C4—1221no—
443C23×C4C22×D6111yescharacteristic
444C2×Q16—614no—
445C2×Q16—2441no—
446C2×Q16—2441no—
447C2×SD16—614no—
448C2×SD16—1222no—
449C2×SD16—1222no—
450C22×C8—611no—
451C22×C8—611no—
452C22×C8—1222no—
453C22×C8—1222no—
454C22×C8—2441no—
455C22×C8C22×D6111yescharacteristic
456C22×C8C22×D6111yescharacteristic
457C22⋊Q8—614no—
458C22⋊Q8—1222no—
459C4×Q8—1222no—
460C4×Q8—2441no—
461C4×D4—1222no—
462C4×D4—1222no—
463C4×D4—2441no—
464C4×D4—2441no—
465#117—22no—
466#117—41no—
467C2×C4⋊C4—611no—
468C2×C4⋊C4—1221no—
469C2×C4⋊C4—1221no—
470C2×C4⋊C4—1221no—
471C2×C4⋊C4C22×D6111yescharacteristic
472C2×C4⋊C4C22×D6111yescharacteristic
473C2×C4⋊C4C22×D6111yescharacteristic
474C2×C4⋊C4C22×D6111yescharacteristic
475C2×C22⋊C4—21no—
476C2×C22⋊C4—21no—
477C2×C22⋊C4—611no—
478C2×C22⋊C4—611no—
479C2×C22⋊C4—1221no—
480C2×C22⋊C4—1221no—
481C2×C22⋊C4—1221no—
482C2×C42—21no—
483C2×C42—611no—
484C2×C42—611no—
485C2×C42—1221no—
486C2×C42—1221no—
487#107—22no—
488#106—41no—
489#103—614no—
490#103—1222no—
491#103—1222no—
492#103—1222no—
493#103—2441no—
494#102—614no—
495#102—614no—
496#102—1222no—
497C22⋊C8C4×D6114yescomplemented
498#97—1222no—
499#97—2441no—
500#95—21no—
501#95—611no—
502#95—611no—
503#95—1221no—
504#95—1221no—
505#95—1221no—
506#95—1221no—
507#95—1221no—
508#95—1221no—
509#95—1221no—
510#95—1221no—
511C24—1221no—
512C24D4×D6111yescharacteristic
513#41—1228no—
514#41—2444no—
515#41—2444no—
516#41—2444no—
517C2×Q8—612no—
518C2×Q8—612no—
519C2×Q8—1221no—
520C2×Q8—1221no—
521C2×Q8—1221no—
522C2×Q8—1221no—
523C2×Q8—1221no—
524C2×Q8—1221no—
525C2×Q8—1221no—
526C2×Q8—1221no—
527C2×Q8—1221no—
528C2×Q8—1221no—
529C2×D4—612no—
530C2×D4—612no—
531C2×D4—612no—
532C2×D4—1224no—
533C2×D4—1221no—
534C2×D4—1221no—
535C2×D4—1221no—
536C2×D4—2442no—
537C2×D4—2442no—
538C22×C4—21no—
539C22×C4—21no—
540C22×C4—21no—
541C22×C4—21no—
542C22×C4—21no—
543C22×C4—21no—
544C22×C4—21no—
545C22×C4—21no—
546C22×C4—611no—
547C22×C4—611no—
548C22×C4—611no—
549C22×C4—611no—
550C22×C4—1221no—
551C22×C4—1221no—
552C22×C4—1221no—
553C22×C4—1224no—
554C22×C4—4881no—
555C22×C4—4881no—
556C22×C4—2442no—
557C22×C4—2442no—
558C22×C4—2442no—
559C22×C4—2442no—
560C22×C4—2442no—
561C22×C4—2442no—
562C22×C4C2×C4×D6112yes—
563C22×C4D4×D6111yescharacteristic
564C22×C4#1175822612yes—
565C22×C4C23×D6111yescharacteristic
566Q16—2444no—
567SD16—1228no—
568C2×C8—21no—
569C2×C8—21no—
570C2×C8—21no—
571C2×C8—21no—
572C2×C8—612no—
573C2×C8—1221no—
574C2×C8—1221no—
575C2×C8—1221no—
576C2×C8—1221no—
577C2×C8—1221no—
578C2×C8—2444no—
579C2×C8C2×C4×D6112yes—
580C2×C8C2×C4×D6112yes—
581C4⋊C4—21no—
582C4⋊C4—21no—
583C4⋊C4—21no—
584C4⋊C4—21no—
585C4⋊C4—21no—
586C4⋊C4—21no—
587C4⋊C4—21no—
588C4⋊C4—612no—
589C4⋊C4—1221no—
590C4⋊C4—1224no—
591C4⋊C4—2442no—
592C4⋊C4—2442no—
593C4⋊C4D4×D6112yes—
594C22⋊C4—42no—
595C22⋊C4—81no—
596C22⋊C4—1224no—
597C22⋊C4—2442no—
598C22⋊C4—2442no—
599C22⋊C4—2441no—
600C22⋊C4—2441no—
601C42—42no—
602C42—1221no—
603C42—1221no—
604C42—1221no—
605C42—1221no—
606C42—2442no—
607C42—2442no—
608C23—21no—
609C23—21no—
610C23—21no—
611C23—21no—
612C23—21no—
613C23—21no—
614C23—1222no—
615C23—1222no—
616C23—1222no—
617C23—2441no—
618C23—2441no—
619C23—2441no—
620C23—2441no—
621C23#1451973912yes—
622C23C2×D4×D6111yescharacteristic
623Q8—1222no—
624Q8—1222no—
625Q8—1222no—
626Q8—1222no—
627Q8—2441no—
628Q8—2441no—
629Q8—2441no—
630Q8—2441no—
631D4—614no—
632D4—1222no—
633D4—1222no—
634D4—1222no—
635D4—2448no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—22no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—41no—
652C2×C4—41no—
653C2×C4—41no—
654C2×C4—1222no—
655C2×C4—1222no—
656C2×C4—1222no—
657C2×C4—1221no—
658C2×C4—1221no—
659C2×C4—1221no—
660C2×C4—1221no—
661C2×C4—1221no—
662C2×C4—1221no—
663C2×C4—1221no—
664C2×C4—1221no—
665C2×C4—1221no—
666C2×C4—1221no—
667C2×C4—1221no—
668C2×C4—1221no—
669C2×C4—4884no—
670C2×C4—4884no—
671C2×C4—2448no—
672C2×C4—2441no—
673C2×C4—2441no—
674C2×C4—2441no—
675C2×C4—2441no—
676C2×C4—2441no—
677C2×C4—2441no—
678C2×C4#1451973912yes—
679C2×C4C22×C4×D6111yescharacteristic
680C2×C4C2×D4×D6111yescharacteristic
681C2×C4#41×D6111yescharacteristic
682C2×C4C2×#1175822611yescharacteristic
683C2×C4#1451982211yescharacteristic
684C2×C4#1451982311yescharacteristic
685C8—22no—
686C8—22no—
687C8—1222no—
688C8—2441no—
689C22—22no—
690C22—22no—
691C22—22no—
692C22—41no—
693C22—41no—
694C22—41no—
695C22—41no—
696C22—1224no—
697C22—2442no—
698C22—2442no—
699C22—2442no—
700C22—2442no—
701C22—2442no—
702C22—2442no—
703C22C2×#1451973911yescharacteristic
704C22#1684039411yescharacteristic
705C22#1684040411yescharacteristic
706C22#1684055911yescharacteristic
707C22#1684055911yescharacteristic
708C22#1684057211yescharacteristic
709C22#1684057811yescharacteristic
710C4—22no—
711C4—42no—
712C4—81no—
713C4—81no—
714C4—81no—
715C4—2442no—
716C4—2442no—
717C4—2442no—
718C4—2441no—
719C4—2441no—
720C4—2441no—
721C4—2441no—
722C4C4×D4×D6111yescharacteristic
723C4#1684023411yescharacteristic
724C4#1684040311yescharacteristic
725C4#1684043911yescharacteristic
726C2—42no—
727C2—2444no—
728C2#2144879511yescharacteristic
729C2#2145461911yescharacteristic
730C2#2145466011yescharacteristic
731C2#2145733711yescharacteristic
732C2#2145736711yescharacteristic
733C2#2145785311yescharacteristic
734C2#2145791311yescharacteristic
subgroupG/H
centerC23C2×D4×D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#1854C2
socleC23×C61C22×D4
prime radicalC22×#11758222C22
cosocleC22×C4×C61C24
hypercenter#1854D61
hypocenterC61#22856
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1854

Complements

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

NH ≅ G/Ntype
2. C2×#16839861C2semidirect
4. #21448846C2semidirect
6. #21446688C2semidirect
7. #21446507C2semidirect
8. #21446459C2semidirect
9. #21446240C2semidirect
10. #21446161C2semidirect
11. #21446154C2semidirect
12. #21446077C2semidirect
13. #21445643C2semidirect
14. #21445598C2semidirect
15. C61×#1854C2semidirect
24. #16839926C4semidirect
77. C2×Dic244C2×C4semidirect
87. #14519756C2×C4semidirect
107. #14519702C2×C4semidirect
141. C22⋊C8×C61C2×C4semidirect
371. #1854D61semidirect
429. C61#22856semidirect
497. C22⋊C8C4×D61semidirect

Maximal subgroups

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

subgroupindex
C2×#168399262
C2×#168398612
C2×#168397562
#214488462
#214486472
#214466882
#214465072
#214464592
#214462402
#214461612
#214461542
#214460772
#214456432
#214455982
C61×#18542
#2285661