Finite Group Databasebeta

← #29700302

Subgroups — #29700302

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×#16839925C211yesmaximal, characteristic
2C2×#16839859C211yesmaximal, characteristic, complemented
3C2×#16839755C211yesmaximal, characteristic
4#21448848C211yesmaximal, characteristic, complemented
5#21448644C211yesmaximal, characteristic
6#21446690C211yesmaximal, characteristic, complemented
7#21446510C211yesmaximal, characteristic, complemented
8#21446460C211yesmaximal, characteristic, complemented
9#21446241C211yesmaximal, characteristic, complemented
10#21446161C211yesmaximal, characteristic, complemented
11#21446153C211yesmaximal, characteristic, complemented
12#21446082C211yesmaximal, characteristic, complemented
13#21446019C211yesmaximal, characteristic, complemented
14#21445596C211yesmaximal, characteristic, complemented
15C61×#1762C211yesmaximal, characteristic, complemented
16C22×#11758224C2211yescharacteristic
17C22×Dic244C2211yescharacteristic
18C22×#11758200C2211yescharacteristic
19C22×C8×D61C2211yescharacteristic
20C2×#14519757C2211yescharacteristic
21C2×#14519742C2211yescharacteristic
22C2×D4×Dic61C2211yescharacteristic
23C2×#14519735C2211yescharacteristic
24#16839925C418yescomplemented
25#16839859—24no—
26C2×#14519710C2211yescharacteristic
27C2×#14519709C2211yescharacteristic
28#16839755—24no—
29C2×#14519702C2211yescharacteristic
30C2×#14519702C2211yescharacteristic
31C2×#14519700C2211yescharacteristic
32C2×#14519700C2211yescharacteristic
33C2×#14519700C2211yescharacteristic
34C2×#14519698C2211yescharacteristic
35C2×#14519689C2211yescharacteristic
36C2×#14519687C2211yescharacteristic
37#16839668C2211yescharacteristic
38#16839668C2211yescharacteristic
39#16839667C2211yescharacteristic
40#16839661C2211yescharacteristic
41#16839654—21no—
42#16839653—21no—
43#16839647—21no—
44#16839641—21no—
45#16839639—21no—
46#16839623—21no—
47#16839619C2211yescharacteristic
48C4×C4⋊Dic61—21no—
49C4×#11758198C2211yescharacteristic
50C2×#14519684—21no—
51#16839524C2211yescharacteristic
52#16839524C2211yescharacteristic
53#16839517C2211yescharacteristic
54#16839516C2211yescharacteristic
55C2×C4×D4×C61C2211yescharacteristic
56C2×#102×C61C2211yescharacteristic
57C2×#102×C61C2211yescharacteristic
58C2×#97×C61C2211yescharacteristic
59C4×C4⋊C4×C61C2211yescharacteristic
60C61×#340C2211yescharacteristic
61C61×#340C2211yescharacteristic
62C2×#11758224—22no—
63C2×#11758224—22no—
64C2×#11758224—22no—
65C2×#11758224—41no—
66C2×#11758224—41no—
67C2×#11758224C2×C414yes—
68C22×Dic122C2311yescharacteristic
69C22×Dic122C2311yescharacteristic
70C22×C22⋊D61—21no—
71C23×Dic61—21no—
72C23×Dic61—21no—
73C22×C4×D61C2311yescharacteristic
74C2×Dic244—41no—
75C2×Dic244—41no—
76C2×Dic244C2×C414yescomplemented
77C2×#11758200—22no—
78C2×#11758200—22no—
79C2×#11758200C2×C414yes—
80C22×#92418C2311yescharacteristic
81C22×#92418C2311yescharacteristic
82C2×C8×D61—22no—
83C2×C8×D61—22no—
84C2×C8×D61—41no—
85#14519757—22no—
86#14519757C2×C414yescomplemented
87#14519742—22no—
88#14519742—41no—
89D4×Dic61—22no—
90D4×Dic61—41no—
91#14519735—22no—
92#14519735—41no—
93C2×C4⋊Dic61—21no—
94C2×C4⋊Dic61—21no—
95C2×C4⋊Dic61C2311yescharacteristic
96C2×C4⋊Dic61C2311yescharacteristic
97C2×#11758196—21no—
98C2×C22⋊Dic61—21no—
99C2×#11758198—21no—
100C2×#11758198—21no—
101C2×#11758198—21no—
102C2×#11758198D411yescharacteristic
103C2×#11758198D411yescharacteristic
104C2×C4×Dic61—21no—
105C2×C4×Dic61—21no—
106C2×C4×Dic61C2311yescharacteristic
107#14519710—22no—
108#14519709—41no—
109#14519702—22no—
110#14519702—22no—
111#14519700—22no—
112#14519700—41no—
113#14519700C2×C414yescomplemented
114#14519698—22no—
115#14519689C2×C414yescomplemented
116#14519687—22no—
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
127C22×D4×C61C2311yescharacteristic
128C23×C4×C61—21no—
129C22×C8×C61C2311yescharacteristic
130C22×C8×C61C2311yescharacteristic
131C4×D4×C61—22no—
132C4×D4×C61—41no—
133C2×C4⋊C4×C61C2311yescharacteristic
134C2×C4⋊C4×C61C2311yescharacteristic
135C2×C4⋊C4×C61C2311yescharacteristic
136C2×C22⋊C4×C61—21no—
137C2×C42×C61—21no—
138C2×C42×C61C2311yescharacteristic
139#102×C61C2×C414yes—
140#102×C61D414yes—
141#97×C61—41no—
142#95×C61—21no—
143C24×C61—21no—
144C23×D61C2×D411yescharacteristic
145C2×D4×C61—21no—
146C2×D4×C61—21no—
147C2×D4×C61—21no—
148C2×D4×C61C22×C412yes—
149C2×D4×C61C2×D412yes—
150C2×D4×C61#4112yes—
151C22×C4×C61—21no—
152C22×C4×C61—21no—
153C22×C4×C61—21no—
154C22×C4×C61—42no—
155C22×C4×C61—42no—
156C22×C4×C61—81no—
157C22×C4×C61C2×D411yescharacteristic
158C22×C4×C61C2×D411yescharacteristic
159C22×C4×C61C2411yescharacteristic
160C2×C22⋊D61—24no—
161C2×C22⋊D61—42no—
162C2×C22⋊D61—42no—
163C22×Dic61—21no—
164C22×Dic61—21no—
165C22×Dic61—24no—
166C22×Dic61—21no—
167C22×Dic61—21no—
168C22×Dic61—42no—
169C22×Dic61—42no—
170C22×Dic61—42no—
171C22×Dic61—42no—
172C22×Dic61—81no—
173C22×Dic61C2×D411yescharacteristic
174C22×Dic61C2×D411yescharacteristic
175C22×Dic61C2×D411yescharacteristic
176#11758224—28no—
177#11758224—44no—
178#11758224—44no—
179#11758224—44no—
180C2×C4×D61—21no—
181C2×C4×D61—21no—
182C2×C4×D61—21no—
183C2×C4×D61—21no—
184C2×C4×D61C22×C412yes—
185C2×C4×D61#4112yes—
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×C61C2×D412yes—
204C4⋊C4×C61—21no—
205C4⋊C4×C61—21no—
206C4⋊C4×C61—21no—
207C4⋊C4×C61—21no—
208C4⋊C4×C61C22×C412yes—
209C4⋊C4×C61C2×D412yes—
210C22⋊C4×C61—42no—
211C42×C61—21no—
212C42×C61—21no—
213C42×C61—42no—
214C22⋊Dic61—42no—
215#11758200—28no—
216#11758198—24no—
217#11758198—41no—
218#11758198—41no—
219#11758198—42no—
220#11758198—81no—
221C4⋊Dic61—24no—
222C4⋊Dic61—21no—
223C4⋊Dic61—21no—
224C4⋊Dic61—21no—
225C4⋊Dic61—21no—
226C4⋊Dic61—42no—
227#11758196—42no—
228C4×Dic61—21no—
229C4×Dic61—21no—
230C4×Dic61—42no—
231C4×Dic61—42no—
232C2×#92418—21no—
233C2×#92418—21no—
234C2×#92418—21no—
235C2×#92418—21no—
236C2×#92418—21no—
237C2×#92418C22×C412yes—
238Dic244—44no—
239C8×D61—44no—
240C23×C61—22no—
241C23×C61—22no—
242C23×C61—22no—
243C23×C61—41no—
244C23×C61—41no—
245C23×C61—41no—
246C23×C61—41no—
247C23×C61C22×D411yescharacteristic
248C22×D61—21no—
249C22×D61—21no—
250C22×D61—21no—
251C22×D61—21no—
252C22×D61—21no—
253C22×D61—21no—
254C22×D61C4×D412yes—
255D4×C61—22no—
256D4×C61—22no—
257D4×C61—22no—
258D4×C61C4×D414yes—
259C2×C4×C61—22no—
260C2×C4×C61—22no—
261C2×C4×C61—21no—
262C2×C4×C61—21no—
263C2×C4×C61—21no—
264C2×C4×C61—21no—
265C2×C4×C61—21no—
266C2×C4×C61—21no—
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×C61—41no—
274C2×C4×C61—84no—
275C2×C4×C61C23×C411yescharacteristic
276C2×C4×C61C22×D411yescharacteristic
277C2×C4×C61C2×#4111yescharacteristic
278C2×C4×C61C2×#4111yescharacteristic
279C2×C4×C61H(5,𝔽2)11yescharacteristic
280C2×C4×C61H(5,𝔽2)11yescharacteristic
281C22⋊D61—48no—
282C2×Dic61—21no—
283C2×Dic61—21no—
284C2×Dic61—22no—
285C2×Dic61—22no—
286C2×Dic61—21no—
287C2×Dic61—21no—
288C2×Dic61—21no—
289C2×Dic61—21no—
290C2×Dic61—21no—
291C2×Dic61—21no—
292C2×Dic61—48no—
293C2×Dic61—41no—
294C2×Dic61—41no—
295C2×Dic61—41no—
296C2×Dic61—41no—
297C2×Dic61—41no—
298C2×Dic61—41no—
299C2×Dic61—41no—
300C2×Dic61—41no—
301C2×Dic61—41no—
302C2×Dic61—41no—
303C2×Dic61—84no—
304C2×Dic61C4×D412yes—
305C4×D61—22no—
306C4×D61—22no—
307C4×D61—22no—
308C4×D61—22no—
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—24no—
323C22×C61—42no—
324C22×C61—42no—
325C22×C61—42no—
326C22×C61—42no—
327C22×C61—42no—
328C22×C61—42no—
329C22×C61C2×C4×D411yescharacteristic
330C22×C61D4211yescharacteristic
331C22×C61#54611yescharacteristic
332C22×C61#57511yescharacteristic
333C22×C61#57511yescharacteristic
334C22×C61#57711yescharacteristic
335C22×C61#57811yescharacteristic
336C2×D61—22no—
337C2×D61—22no—
338C2×D61—22no—
339C2×D61—41no—
340C2×D61—41no—
341C2×D61—41no—
342C2×D61—41no—
343C4×C61—42no—
344C4×C61—42no—
345C4×C61—41no—
346C4×C61—41no—
347C4×C61—81no—
348C4×C61C2×C4×D411yescharacteristic
349C4×C61#51811yescharacteristic
350C4×C61#54611yescharacteristic
351C4×C61#55111yescharacteristic
352Dic61—22no—
353Dic61—42no—
354Dic61—42no—
355Dic61—41no—
356Dic61—41no—
357Dic61—81no—
358Dic61—81no—
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#1854—611no—
372#1762D6111yescharacteristic, complemented
373#1752—611no—
374C2×C61—44no—
375C2×C61#235811yescharacteristic
376C2×C61#294311yescharacteristic
377C2×C61#294711yescharacteristic
378C2×C61#326711yescharacteristic
379C2×C61#326911yescharacteristic
380C2×C61#331111yescharacteristic
381C2×C61#331511yescharacteristic
382D61—42no—
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×D4C2×D6111yescharacteristic
391C2×#117—611no—
392#452—618no—
393#440—1224no—
394C2×#107—611no—
395C2×#106—611no—
396#416—1224no—
397C2×#103—611no—
398C2×#103—611no—
399C2×#103—611no—
400C2×#103—611no—
401C2×#103—611no—
402C2×#102—611no—
403C2×#102C2×D6111yescharacteristic
404C2×#102C2×D6111yescharacteristic
405C2×C22⋊C8—611no—
406C2×#97—611no—
407C2×#97C2×D6111yescharacteristic
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#380—611no—
419C4×C4⋊C4—1221no—
420C4×C4⋊C4C2×D6111yescharacteristic
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—1221no—
439C22×D4C22×D6111yescharacteristic
440C23×C4—21no—
441C23×C4—611no—
442C23×C4—1221no—
443C23×C4—1221no—
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—22no—
462C4×D4—41no—
463C4×D4—1222no—
464C4×D4—2441no—
465#117—1222no—
466#117—2441no—
467C2×C4⋊C4—611no—
468C2×C4⋊C4—611no—
469C2×C4⋊C4—1221no—
470C2×C4⋊C4—1221no—
471C2×C4⋊C4—1221no—
472C2×C4⋊C4C22×D6111yescharacteristic
473C2×C4⋊C4C22×D6111yescharacteristic
474C2×C4⋊C4C22×D6111yescharacteristic
475C2×C22⋊C4—21no—
476C2×C22⋊C4—611no—
477C2×C22⋊C4—611no—
478C2×C22⋊C4—1221no—
479C2×C22⋊C4—1221no—
480C2×C22⋊C4—1221no—
481C2×C22⋊C4—1221no—
482C2×C42—21no—
483C2×C42—611no—
484C2×C42—1221no—
485C2×C42—1221no—
486C2×C42C22×D6111yescharacteristic
487#107—1222no—
488#106—2441no—
489#103—614no—
490#103—1222no—
491#103—1222no—
492#103—1222no—
493#103—2441no—
494#102—1222no—
495#102C4×D6114yes—
496#102D24414yes—
497C22⋊C8—614no—
498#97—41no—
499#97—1222no—
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—21no—
512C24—611no—
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—21no—
530C2×D4—21no—
531C2×D4—21no—
532C2×D4—1224no—
533C2×D4—2442no—
534C2×D4—2442no—
535C2×D4C2×C4×D6112yes—
536C2×D4C2×D24412yes—
537C2×D4#1175822212yes—
538C22×C4—21no—
539C22×C4—21no—
540C22×C4—21no—
541C22×C4—42no—
542C22×C4—42no—
543C22×C4—81no—
544C22×C4—611no—
545C22×C4—612no—
546C22×C4—612no—
547C22×C4—611no—
548C22×C4—611no—
549C22×C4—1224no—
550C22×C4—1221no—
551C22×C4—1221no—
552C22×C4—1221no—
553C22×C4—1221no—
554C22×C4—1221no—
555C22×C4—1221no—
556C22×C4—1221no—
557C22×C4—1221no—
558C22×C4—4881no—
559C22×C4—2442no—
560C22×C4—2442no—
561C22×C4—2442no—
562C22×C4—2442no—
563C22×C4D4×D6111yescharacteristic
564C22×C4D4×D6111yescharacteristic
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×D24412yes—
581C4⋊C4—21no—
582C4⋊C4—21no—
583C4⋊C4—21no—
584C4⋊C4—21no—
585C4⋊C4—1224no—
586C4⋊C4—1221no—
587C4⋊C4—1221no—
588C4⋊C4—1221no—
589C4⋊C4—1221no—
590C4⋊C4—2442no—
591C4⋊C4—2442no—
592C4⋊C4C2×C4×D6112yes—
593C4⋊C4C2×D24412yes—
594C22⋊C4—42no—
595C22⋊C4—1224no—
596C22⋊C4—4881no—
597C22⋊C4—2441no—
598C22⋊C4—2441no—
599C22⋊C4—2442no—
600C22⋊C4—2442no—
601C42—21no—
602C42—21no—
603C42—42no—
604C42—1221no—
605C42—1221no—
606C42—2442no—
607C42—2442no—
608C23—22no—
609C23—22no—
610C23—22no—
611C23—41no—
612C23—41no—
613C23—41no—
614C23—41no—
615C23—612no—
616C23—1221no—
617C23—1221no—
618C23—1221no—
619C23—1221no—
620C23—1221no—
621C23—1221no—
622C23C2×D4×D6111yescharacteristic
623Q8—1222no—
624Q8—1222no—
625Q8—1222no—
626Q8—1222no—
627Q8—2441no—
628Q8—2441no—
629Q8—2441no—
630Q8—2441no—
631D4—22no—
632D4—22no—
633D4—22no—
634D4—2448no—
635D4C4×D24414yes—
636C2×C4—22no—
637C2×C4—21no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—22no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—84no—
652C2×C4—612no—
653C2×C4—1221no—
654C2×C4—1221no—
655C2×C4—1222no—
656C2×C4—1222no—
657C2×C4—1222no—
658C2×C4—1222no—
659C2×C4—1222no—
660C2×C4—1222no—
661C2×C4—1221no—
662C2×C4—1221no—
663C2×C4—1221no—
664C2×C4—1221no—
665C2×C4—1221no—
666C2×C4—1221no—
667C2×C4—4884no—
668C2×C4—2448no—
669C2×C4—2441no—
670C2×C4—2441no—
671C2×C4—2441no—
672C2×C4—2441no—
673C2×C4—2441no—
674C2×C4—2441no—
675C2×C4—2441no—
676C2×C4—2441no—
677C2×C4—2441no—
678C2×C4—2441no—
679C2×C4C22×C4×D6111yescharacteristic
680C2×C4C22×D24411yescharacteristic
681C2×C4#41×D6111yescharacteristic
682C2×C4C2×#1175822211yescharacteristic
683C2×C4#1451982211yescharacteristic
684C2×C4#1451982311yescharacteristic
685C8—22no—
686C8—22no—
687C8—1222no—
688C8—2441no—
689C22—24no—
690C22—42no—
691C22—42no—
692C22—42no—
693C22—42no—
694C22—42no—
695C22—42no—
696C22—1222no—
697C22—1222no—
698C22—1222no—
699C22—2441no—
700C22—2441no—
701C22—2441no—
702C22—2441no—
703C22C4×D4×D6111yescharacteristic
704C22D4×D24411yescharacteristic
705C22#1684040211yescharacteristic
706C22#1684055811yescharacteristic
707C22#1684055811yescharacteristic
708C22#1684057211yescharacteristic
709C22#1684057811yescharacteristic
710C4—42no—
711C4—41no—
712C4—42no—
713C4—41no—
714C4—81no—
715C4—1222no—
716C4—4881no—
717C4—4881no—
718C4—2442no—
719C4—2442no—
720C4—2441no—
721C4—2441no—
722C4C2×C4×D24411yescharacteristic
723C4#1684023411yescharacteristic
724C4#1684040711yescharacteristic
725C4#1684043611yescharacteristic
726C2—44no—
727C2—2442no—
728C2#2144880111yescharacteristic
729C2#2145461611yescharacteristic
730C2#2145465911yescharacteristic
731C2#2145734611yescharacteristic
732C2#2145737611yescharacteristic
733C2#2145785611yescharacteristic
734C2#2145791611yescharacteristic
subgroupG/H
centerC23C2×D4×D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#1762C2
socleC23×C61C22×D4
prime radicalC22×#11758224C22
cosocleC22×C4×C61C24
hypercenter#1762D61
hypocenterC61#22856
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1762

Complements

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

NH ≅ G/Ntype
2. C2×#16839859C2semidirect
4. #21448848C2semidirect
6. #21446690C2semidirect
7. #21446510C2semidirect
8. #21446460C2semidirect
9. #21446241C2semidirect
10. #21446161C2semidirect
11. #21446153C2semidirect
12. #21446082C2semidirect
13. #21446019C2semidirect
14. #21445596C2semidirect
15. C61×#1762C2semidirect
24. #16839925C4semidirect
76. C2×Dic244C2×C4semidirect
86. #14519757C2×C4semidirect
113. #14519700C2×C4semidirect
115. #14519689C2×C4semidirect
372. #1762D61semidirect
429. C61#22856semidirect

Maximal subgroups

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

subgroupindex
C2×#168399252
C2×#168398592
C2×#168397552
#214488482
#214486442
#214466902
#214465102
#214464602
#214462412
#214461612
#214461532
#214460822
#214460192
#214455962
C61×#17622
#2285661