Finite Group Databasebeta

← #29779552

Subgroups — #29779552

Order 15616.

1078 conjugacy classes of subgroups.

The subgroup lattice has 744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21454128C211yesmaximal, characteristic, complemented
2#390×D61C211yesmaximal, characteristic
3#21447236C211yesmaximal, characteristic, complemented
4#21447235C211yesmaximal, characteristic, complemented
5#21446964C211yesmaximal, characteristic, complemented
6#21446963C211yesmaximal, characteristic, complemented
7#21446519C211yesmaximal, characteristic, complemented
8#21446516C211yesmaximal, characteristic, complemented
9#21446515C211yesmaximal, characteristic, complemented
10#21445904C211yesmaximal, characteristic, complemented
11#21445904C211yesmaximal, characteristic, complemented
12#21445748C211yesmaximal, characteristic
13#21445748C211yesmaximal, characteristic
14#21445582C211yesmaximal, characteristic, complemented
15C61×#1936C211yesmaximal, characteristic, complemented
16C22×D4×D61C2211yescharacteristic
17C2×#14519768C2211yescharacteristic, complemented
18C2×C4⋊C4×D61C2211yescharacteristic
19C2×C22⋊C4×D61—21no—
20C2×C22⋊C4×D61—21no—
21C2×C42×D61C2211yescharacteristic
22C2×#14519699C2211yescharacteristic
23C2×#14519699C2211yescharacteristic
24C2×#14519698C2211yescharacteristic
25C2×#14519698C2211yescharacteristic
26C2×#14519697C2211yescharacteristic
27C2×#14519697C2211yescharacteristic
28C2×#14519689C2211yescharacteristic
29C2×#14519689C2211yescharacteristic
30C2×#14519688C2211yescharacteristic, complemented
31#16839665C2211yescharacteristic
32#16839664C2211yescharacteristic
33#16839663C2211yescharacteristic
34#16839662—21no—
35#16839662—21no—
36#16839660C2211yescharacteristic, complemented
37#16839648—21no—
38#16839644—21no—
39#16839636—21no—
40#16839633—21no—
41#16839627C2211yescharacteristic, complemented
42#16839619C2211yescharacteristic
43#16839619C2211yescharacteristic
44#16839525C2211yescharacteristic, complemented
45#16839525C2211yescharacteristic, complemented
46#16839524C2211yescharacteristic, complemented
47#16839524C2211yescharacteristic, complemented
48#16839524C2211yescharacteristic, complemented
49#16839524C2211yescharacteristic, complemented
50#16839516C2211yescharacteristic, complemented
51#16839516C2211yescharacteristic, complemented
52C2×#102×C61C2211yescharacteristic
53C2×#102×C61C2211yescharacteristic
54C2×#97×C61C2211yescharacteristic, complemented
55C61×#390C2211yescharacteristic
56C61×#389C2211yescharacteristic, complemented
57C61×#340C2211yescharacteristic, complemented
58C61×#340C2211yescharacteristic, complemented
59C24×D61—21no—
60C22×D244C2311yescharacteristic
61C22×C22⋊D61—21no—
62C2×D4×D61—22no—
63C2×D4×D61—22no—
64C2×D4×D61—22no—
65C2×D4×D61—22no—
66C2×D4×D61—41no—
67C2×D4×D61—41no—
68C22×C4×D61—21no—
69C22×C4×D61D411yescharacteristic
70C22×C4×D61D411yescharacteristic
71C22×C4×D61C2311yescharacteristic
72C22×#92418C2311yescharacteristic
73C22×#92418C2311yescharacteristic
74#14519768—41no—
75#14519768—41no—
76C2×C4⋊Dic61—21no—
77C2×C4⋊Dic61C2311yescharacteristic
78C2×C4⋊Dic61C2311yescharacteristic
79C2×C4⋊Dic61C2311yescharacteristic
80C2×#11758196—21no—
81C2×#11758196—21no—
82C2×#11758196—21no—
83C4⋊C4×D61—22no—
84C4⋊C4×D61—22no—
85C2×C22⋊Dic61—21no—
86C2×C22⋊Dic61—21no—
87C2×#11758198—21no—
88C2×#11758198—21no—
89C2×#11758198—21no—
90C2×#11758198—21no—
91C2×#11758198—21no—
92C2×#11758198—21no—
93C22⋊C4×D61—44no—
94C22⋊C4×D61—44no—
95C2×C4×Dic61D411yescharacteristic
96C2×C4×Dic61D411yescharacteristic
97C2×C4×Dic61C2311yescharacteristic
98C42×D61—41no—
99C42×D61—41no—
100#14519699—22no—
101#14519699—41no—
102#14519698—22no—
103#14519698—41no—
104#14519697—22no—
105#14519697—41no—
106#14519689—22no—
107#14519689—22no—
108#14519688—41no—
109#14519684—21no—
110#14519684—21no—
111#14519684—21no—
112#14519684—21no—
113#14519684—21no—
114C22×D4×C61C2311yescharacteristic
115C22×C8×C61C2311yescharacteristic
116C22×C8×C61C2311yescharacteristic
117C2×C4⋊C4×C61—21no—
118C2×C4⋊C4×C61C2311yescharacteristic
119C2×C4⋊C4×C61C2311yescharacteristic
120C2×C4⋊C4×C61C2311yescharacteristic
121C2×C22⋊C4×C61—21no—
122C2×C22⋊C4×C61—21no—
123C2×C42×C61C2311yescharacteristic
124#102×C61—22no—
125#102×C61—41no—
126#97×C61—41no—
127#95×C61—21no—
128C24×C61—21no—
129C23×D61—24no—
130C23×D61—21no—
131C23×D61—42no—
132C23×D61—42no—
133C23×D61—42no—
134C23×D61—42no—
135C23×D61—42no—
136C23×D61—42no—
137C23×D61C2×D411yescharacteristic
138C2×D4×C61—21no—
139C2×D4×C61—21no—
140C2×D4×C61—21no—
141C2×D4×C61—21no—
142C2×D4×C61—21no—
143C2×D4×C61#4112yes—
144C22×C4×C61—21no—
145C22×C4×C61—21no—
146C22×C4×C61—21no—
147C22×C4×C61C2×D411yescharacteristic
148C22×C4×C61C2×D411yescharacteristic
149C22×C4×C61C2411yescharacteristic
150C2×C22⋊D61—24no—
151C2×C22⋊D61—42no—
152C2×C22⋊D61—42no—
153C22×Dic61—21no—
154C22×Dic61—21no—
155C22×Dic61—21no—
156C22×Dic61C2×D411yescharacteristic
157C22×Dic61C2×D411yescharacteristic
158C22×Dic61C2×D411yescharacteristic
159D4×D61—44no—
160D4×D61—44no—
161D4×D61—44no—
162D4×D61—44no—
163C2×D244—21no—
164C2×D244—21no—
165C2×D244—21no—
166C2×D244—21no—
167C2×D244—21no—
168C2×D244#4112yes—
169C2×C4×D61—21no—
170C2×C4×D61—21no—
171C2×C4×D61—21no—
172C2×C4×D61—21no—
173C2×C4×D61—22no—
174C2×C4×D61—22no—
175C2×C4×D61—41no—
176C2×C4×D61—41no—
177C2×C4×D61—41no—
178C2×C4×D61—41no—
179C2×C4×D61—42no—
180C2×C4×D61—42no—
181C2×C4×D61—42no—
182C2×C4×D61#4112yes—
183C2×C4×D61#4112yes—
184C2×C8×C61—21no—
185C2×C8×C61—21no—
186C2×C8×C61—21no—
187C2×C8×C61—21no—
188C2×C8×C61—21no—
189C2×C8×C61—21no—
190C4⋊C4×C61—21no—
191C4⋊C4×C61—21no—
192C4⋊C4×C61—21no—
193C4⋊C4×C61—21no—
194C4⋊C4×C61—21no—
195C4⋊C4×C61—21no—
196C4⋊C4×C61—42no—
197C22⋊C4×C61—42no—
198C22⋊C4×C61—42no—
199C42×C61—21no—
200C42×C61—21no—
201C22⋊Dic61—42no—
202C22⋊Dic61—42no—
203#11758198—42no—
204#11758198—42no—
205#11758198—42no—
206#11758198—42no—
207#11758198—42no—
208#11758198—42no—
209C4⋊Dic61—21no—
210C4⋊Dic61—21no—
211C4⋊Dic61—21no—
212C4⋊Dic61—21no—
213C4⋊Dic61—21no—
214C4⋊Dic61—21no—
215C4⋊Dic61—42no—
216#11758196—42no—
217#11758196—42no—
218#11758196—42no—
219C4×Dic61—21no—
220C4×Dic61—21no—
221C4×Dic61—41no—
222C4×Dic61—41no—
223C2×#92418—21no—
224C2×#92418—21no—
225C2×#92418—21no—
226C2×#92418—21no—
227C2×#92418—21no—
228C2×#92418—21no—
229C23×C61—22no—
230C23×C61—41no—
231C23×C61—41no—
232C23×C61—41no—
233C23×C61—41no—
234C23×C61—41no—
235C23×C61—41no—
236C23×C61C22×D411yescharacteristic
237C22×D61—21no—
238C22×D61—21no—
239C22×D61—21no—
240C22×D61—21no—
241C22×D61—22no—
242C22×D61—48no—
243C22×D61—48no—
244C22×D61—48no—
245C22×D61—41no—
246C22×D61—41no—
247C22×D61—41no—
248C22×D61—41no—
249C22×D61—41no—
250C22×D61—41no—
251C22×D61—84no—
252C22×D61—84no—
253C22×D61—84no—
254C22×D61—84no—
255C22×D61#12412yes—
256C22×D61AGL(1,ℤ/8)12yes—
257C22×D61AGL(1,ℤ/8)12yes—
258D4×C61—22no—
259D4×C61—22no—
260D4×C61—41no—
261D4×C61—41no—
262C2×C4×C61—21no—
263C2×C4×C61—21no—
264C2×C4×C61—21no—
265C2×C4×C61—21no—
266C2×C4×C61—21no—
267C2×C4×C61—21no—
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—41no—
275C2×C4×C61—41no—
276C2×C4×C61—41no—
277C2×C4×C61C2×#4111yescharacteristic
278C2×C4×C61C2×#4111yescharacteristic
279C2×C4×C61C2×#4111yescharacteristic
280C2×C4×C61C2×#4111yescharacteristic
281C2×C4×C61H(5,𝔽2)11yescharacteristic
282C2×C4×C61H(5,𝔽2)11yescharacteristic
283C22⋊D61—48no—
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—41no—
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#12412yes—
302D244—22no—
303D244—22no—
304D244—41no—
305D244—41no—
306C4×D61—22no—
307C4×D61—22no—
308C4×D61—22no—
309C4×D61—22no—
310C4×D61—44no—
311C4×D61—44no—
312C4×D61—84no—
313C8×C61—41no—
314C8×C61—41no—
315#92418—41no—
316#92418—41no—
317#29110—611nomaximal, Sylow
318C22×C61—42no—
319C22×C61—42no—
320C22×C61—42no—
321C22×C61—81no—
322C22×C61—81no—
323C22×C61—81no—
324C22×C61—81no—
325C22×C61#52511yescharacteristic
326C22×C61C2×#12411yescharacteristic
327C22×C61#53411yescharacteristic
328C22×C61C2×AGL(1,ℤ/8)11yescharacteristic
329C22×C61C2×AGL(1,ℤ/8)11yescharacteristic
330C22×C61#57511yescharacteristic
331C22×C61#57511yescharacteristic
332C2×D61—22no—
333C2×D61—22no—
334C2×D61—22no—
335C2×D61—22no—
336C2×D61—22no—
337C2×D61—22no—
338C2×D61—42no—
339C2×D61—42no—
340C2×D61—42no—
341C2×D61—816no—
342C2×D61—81no—
343C2×D61—81no—
344C2×D61—81no—
345C2×D61—81no—
346C2×D61#49014yes—
347C4×C61—41no—
348C4×C61—41no—
349C4×C61—81no—
350C4×C61—81no—
351C4×C61—81no—
352C4×C61#55111yescharacteristic
353C4×C61#55111yescharacteristic
354C4×C61#55111yescharacteristic
355C4×C61#55111yescharacteristic
356Dic61—22no—
357Dic61—41no—
358Dic61—41no—
359Dic61—81no—
360Dic61—81no—
361Dic61—81no—
362#2851—611no—
363C2×#390—611no—
364#2073—611no—
365#2073—611no—
366#2025—611no—
367#2025—611no—
368#1936—611no—
369#1936—611no—
370#1936—611no—
371#1936D6111yescharacteristic, complemented
372#1823—611no—
373#1823—611no—
374#1786—611no—
375#1786—611no—
376#1749—611no—
377C2×C61—82no—
378C2×C61#256111yescharacteristic
379C2×C61#311411yescharacteristic
380C2×C61#311411yescharacteristic
381C2×C61C2×#49011yescharacteristic
382C2×C61#314011yescharacteristic
383C2×C61#319411yescharacteristic
384C2×C61#319411yescharacteristic
385D61—24no—
386D61—82no—
387C23×D4—611no—
388C2×#125—611no—
389C22×C4⋊C4—611no—
390C22×C22⋊C4—1221no—
391C22×C22⋊C4—1221no—
392C22×C42—611no—
393C2×#102—611no—
394C2×#102—611no—
395C2×#102—611no—
396C2×#102—611no—
397C2×#102—611no—
398C2×#102—611no—
399C2×#102C2×D6111yescharacteristic
400C2×#102C2×D6111yescharacteristic
401C2×C22⋊C8—611no—
402C2×C22⋊C8—611no—
403C2×#97—611no—
404C2×#97C2×D6111yescharacteristic, complemented
405#390—611no—
406#390—611no—
407#390—611no—
408#390—1221no—
409#390—1221no—
410#390C2×D6111yescharacteristic
411#389—611no—
412#389C2×D6111yescharacteristic, complemented
413#387—1221no—
414#387—1221no—
415#385—1221no—
416#385—1221no—
417#382—611no—
418#380—611no—
419#380—611no—
420#340—611no—
421#340—611no—
422#340—611no—
423#340—611no—
424#340—611no—
425#340—611no—
426#340C2×D6111yescharacteristic, complemented
427#340C2×D6111yescharacteristic, complemented
428#336—611no—
429#336—611no—
430C61#2911011yescharacteristic, complemented, Sylow
431C25—1221no—
432C22×D4—611no—
433C22×D4—1222no—
434C22×D4—1222no—
435C22×D4—1221no—
436C22×D4—1222no—
437C22×D4—1222no—
438C22×D4—2441no—
439C22×D4—2441no—
440C22×D4C22×D6111yescharacteristic
441C23×C4—611no—
442C23×C4—611no—
443C23×C4—611no—
444C23×C4—1221no—
445C22×C8—611no—
446C22×C8—611no—
447C22×C8C22×D6111yescharacteristic
448C22×C8C22×D6111yescharacteristic
449#125—2441no—
450#125—2441no—
451C2×C4⋊C4—21no—
452C2×C4⋊C4—611no—
453C2×C4⋊C4—611no—
454C2×C4⋊C4—611no—
455C2×C4⋊C4—1222no—
456C2×C4⋊C4—1222no—
457C2×C4⋊C4—1221no—
458C2×C4⋊C4—1221no—
459C2×C4⋊C4—1221no—
460C2×C4⋊C4—1221no—
461C2×C4⋊C4C22×D6111yescharacteristic
462C2×C4⋊C4C22×D6111yescharacteristic
463C2×C4⋊C4C22×D6111yescharacteristic
464C2×C22⋊C4—21no—
465C2×C22⋊C4—21no—
466C2×C22⋊C4—1221no—
467C2×C22⋊C4—1221no—
468C2×C22⋊C4—1221no—
469C2×C22⋊C4—1221no—
470C2×C22⋊C4—1221no—
471C2×C22⋊C4—1221no—
472C2×C22⋊C4—1221no—
473C2×C22⋊C4—1221no—
474C2×C22⋊C4—2444no—
475C2×C22⋊C4—2444no—
476C2×C42—611no—
477C2×C42—611no—
478C2×C42—611no—
479C2×C42—2441no—
480C2×C42—2441no—
481C2×C42C22×D6111yescharacteristic
482#102—22no—
483#102—41no—
484#102—1222no—
485#102—1222no—
486#102—1222no—
487#102—2441no—
488#102—2441no—
489#102—2441no—
490C22⋊C8—1222no—
491C22⋊C8—1222no—
492#97—41no—
493#97—2441no—
494#95—21no—
495#95—1221no—
496#95—1221no—
497#95—1221no—
498#95—1221no—
499#95—1221no—
500C24—21no—
501C24—611no—
502C24—1224no—
503C24—1221no—
504C24—2442no—
505C24—2442no—
506C24—2442no—
507C24—2442no—
508C24—2442no—
509C24—2442no—
510C2×D4—21no—
511C2×D4—21no—
512C2×D4—21no—
513C2×D4—21no—
514C2×D4—21no—
515C2×D4—612no—
516C2×D4—1224no—
517C2×D4—1221no—
518C2×D4—1221no—
519C2×D4—1221no—
520C2×D4—1221no—
521C2×D4—1221no—
522C2×D4—2442no—
523C2×D4—2444no—
524C2×D4—2444no—
525C2×D4—2444no—
526C2×D4—2444no—
527C2×D4—2442no—
528C2×D4#1175822212yes—
529C22×C4—21no—
530C22×C4—21no—
531C22×C4—21no—
532C22×C4—611no—
533C22×C4—612no—
534C22×C4—612no—
535C22×C4—611no—
536C22×C4—611no—
537C22×C4—1222no—
538C22×C4—1222no—
539C22×C4—1221no—
540C22×C4—1221no—
541C22×C4—1221no—
542C22×C4—1221no—
543C22×C4—1221no—
544C22×C4—1221no—
545C22×C4—1221no—
546C22×C4—2441no—
547C22×C4—2441no—
548C22×C4—2441no—
549C22×C4—2441no—
550C22×C4—2442no—
551C22×C4—2442no—
552C22×C4—2442no—
553C22×C4D4×D6111yescharacteristic
554C22×C4D4×D6111yescharacteristic
555C22×C4C23×D6111yescharacteristic
556C2×C8—21no—
557C2×C8—21no—
558C2×C8—21no—
559C2×C8—21no—
560C2×C8—21no—
561C2×C8—21no—
562C2×C8—1221no—
563C2×C8—1221no—
564C2×C8—1221no—
565C2×C8—1221no—
566C2×C8—1221no—
567C2×C8—1221no—
568C4⋊C4—21no—
569C4⋊C4—21no—
570C4⋊C4—21no—
571C4⋊C4—21no—
572C4⋊C4—21no—
573C4⋊C4—21no—
574C4⋊C4—42no—
575C4⋊C4—1221no—
576C4⋊C4—1221no—
577C4⋊C4—1221no—
578C4⋊C4—1221no—
579C4⋊C4—1221no—
580C4⋊C4—1221no—
581C4⋊C4—2442no—
582C4⋊C4—2442no—
583C4⋊C4—2442no—
584C4⋊C4—2442no—
585C22⋊C4—42no—
586C22⋊C4—42no—
587C22⋊C4—2442no—
588C22⋊C4—2442no—
589C22⋊C4—2442no—
590C22⋊C4—2442no—
591C22⋊C4—2442no—
592C22⋊C4—2442no—
593C22⋊C4—2442no—
594C22⋊C4—2442no—
595C42—21no—
596C42—21no—
597C42—1221no—
598C42—1221no—
599C42—2441no—
600C42—2441no—
601C23—22no—
602C23—41no—
603C23—41no—
604C23—41no—
605C23—41no—
606C23—41no—
607C23—41no—
608C23—612no—
609C23—612no—
610C23—612no—
611C23—1221no—
612C23—1221no—
613C23—1221no—
614C23—1221no—
615C23—1222no—
616C23—4884no—
617C23—4884no—
618C23—4884no—
619C23—4884no—
620C23—2448no—
621C23—2448no—
622C23—2448no—
623C23—2441no—
624C23—2441no—
625C23—2441no—
626C23—2441no—
627C23—2441no—
628C23—2441no—
629C23C2×D4×D6111yescharacteristic
630D4—22no—
631D4—22no—
632D4—41no—
633D4—41no—
634D4—1222no—
635D4—1222no—
636D4—2448no—
637D4—2441no—
638D4—2441no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—21no—
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—612no—
655C2×C4—1221no—
656C2×C4—1221no—
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—2444no—
669C2×C4—2444no—
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×C4#41×D6111yescharacteristic
680C2×C4#41×D6111yescharacteristic
681C2×C4#41×D6111yescharacteristic
682C2×C4C2×#1175822211yescharacteristic
683C2×C4#1451982211yescharacteristic
684C2×C4#1451982311yescharacteristic
685C8—41no—
686C8—41no—
687C8—2441no—
688C8—2441no—
689C22—42no—
690C22—42no—
691C22—42no—
692C22—81no—
693C22—81no—
694C22—81no—
695C22—81no—
696C22—614no—
697C22—1222no—
698C22—1222no—
699C22—1222no—
700C22—1222no—
701C22—1222no—
702C22—1222no—
703C22—48816no—
704C22—4881no—
705C22—4881no—
706C22—4881no—
707C22—4881no—
708C22—2442no—
709C22—2442no—
710C22—2442no—
711C22#1684027111yescharacteristic
712C22#124×D6111yescharacteristic
713C22#1684032011yescharacteristic
714C22AGL(1,ℤ/8)×D6111yescharacteristic
715C22AGL(1,ℤ/8)×D6111yescharacteristic
716C22#1684055811yescharacteristic
717C22#1684056111yescharacteristic
718C4—41no—
719C4—41no—
720C4—81no—
721C4—81no—
722C4—81no—
723C4—1222no—
724C4—4881no—
725C4—4881no—
726C4—4881no—
727C4—2441no—
728C4—2441no—
729C4#1684043611yescharacteristic
730C4#1684043711yescharacteristic
731C4#1684044011yescharacteristic
732C4#1684044111yescharacteristic
733C2—82no—
734C2—1224no—
735C2—4882no—
736C2#2145097511yescharacteristic
737C2#2145595511yescharacteristic
738C2#2145596111yescharacteristic
739C2#490×D6111yescharacteristic
740C2#2145620411yescharacteristic
741C2#2145662811yescharacteristic
742C2#2145663411yescharacteristic
subgroupG/H
centerC23C2×D4×D61
commutator, cosocleC22×C4×C61C24
FrattiniC22×C4C23×D61
FittingC61×#1936C2
socleC23×C61C22×D4
prime radicalC22×D4×D61C22
hypercenter#1936D61
hypocenterC61#29110
LCSG ▷ C22×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1936

Complements

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

NH ≅ G/Ntype
1. #21454128C2semidirect
3. #21447236C2semidirect
4. #21447235C2semidirect
5. #21446964C2semidirect
6. #21446963C2semidirect
7. #21446519C2semidirect
8. #21446516C2semidirect
9. #21446515C2semidirect
10. #21445904C2semidirect
11. #21445904C2semidirect
14. #21445582C2semidirect
15. C61×#1936C2semidirect
17. C2×#14519768C22semidirect
30. C2×#14519688C22semidirect
36. #16839660C22semidirect
41. #16839627C22semidirect
44. #16839525C22semidirect
45. #16839525C22semidirect
46. #16839524C22semidirect
47. #16839524C22semidirect
48. #16839524C22semidirect
49. #16839524C22semidirect
50. #16839516C22semidirect
51. #16839516C22semidirect
54. C2×#97×C61C22semidirect
56. C61×#389C22semidirect
57. C61×#340C22semidirect
58. C61×#340C22semidirect
371. #1936D61semidirect
404. C2×#97C2×D61semidirect
412. #389C2×D61semidirect
426. #340C2×D61semidirect
427. #340C2×D61semidirect
430. C61#29110semidirect

Maximal subgroups

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

subgroupindex
#214541282
#390×D612
#214472362
#214472352
#214469642
#214469632
#214465192
#214465162
#214465152
#214459042
#214457482
#214455822
C61×#19362
#2911061