Finite Group Databasebeta

← #29708897

Subgroups — #29708897

Order 15616.

1014 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×#16839801C211yesmaximal, characteristic, complemented
2C2×#16839727C211yesmaximal, characteristic
3#21448408C211yesmaximal, characteristic
4#21448408C211yesmaximal, characteristic
5#21447257C211yesmaximal, characteristic, complemented
6#21447256C211yesmaximal, characteristic, complemented
7#21447253C211yesmaximal, characteristic, complemented
8#21447251C211yesmaximal, characteristic, complemented
9#21447247C211yesmaximal, characteristic, complemented
10#21447245C211yesmaximal, characteristic, complemented
11#21447244C211yesmaximal, characteristic, complemented
12#21445537C211yesmaximal, characteristic, complemented
13#21445534C211yesmaximal, characteristic, complemented
14#340×D61C211yesmaximal, characteristic, complemented
15C61×#2077C211yesmaximal, characteristic, complemented
16C22×#11758222C2211yescharacteristic
17C22×#11758189C2211yescharacteristic
18C22×C8×D61C2211yescharacteristic
19C2×#14519735C2211yescharacteristic
20C2×#14519735C2211yescharacteristic
21C2×C4⋊C4×D61C2211yescharacteristic
22C2×C4⋊C4×D61C2211yescharacteristic
23#16839801—24no—
24C2×#14519711C2211yescharacteristic
25C2×#14519710C2211yescharacteristic
26C2×#14519708C2211yescharacteristic
27#16839727—24no—
28C2×C22⋊#92418C2211yescharacteristic
29C2×#14519689C2211yescharacteristic
30C2×#14519689C2211yescharacteristic
31#16839666—21no—
32#16839666—21no—
33#16839662—21no—
34#16839662—21no—
35#16839640—21no—
36#16839640—21no—
37#16839638—21no—
38#16839638—21no—
39#16839622C2211yescharacteristic
40#16839622C2211yescharacteristic
41#16839619C2211yescharacteristic
42#16839619C2211yescharacteristic
43#16839619C2211yescharacteristic
44#16839619C2211yescharacteristic
45#16839525C2211yescharacteristic
46#16839525C2211yescharacteristic
47#16839525C2211yescharacteristic
48#16839524C2211yescharacteristic
49#16839524C2211yescharacteristic
50#16839524C2211yescharacteristic
51#16839524C2211yescharacteristic
52#16839524C2211yescharacteristic
53#16839524C2211yescharacteristic
54C2×#106×C61C2211yescharacteristic
55C2×C22⋊C8×C61C2211yescharacteristic
56C61×#380C2211yescharacteristic
57C61×#380C2211yescharacteristic
58C61×#340C2211yescharacteristic
59C61×#340C2211yescharacteristic
60C61×#340C2211yescharacteristic
61C2×#11758222—22no—
62C2×#11758222—22no—
63C2×#11758222—22no—
64C2×#11758222—22no—
65C2×#11758222—22no—
66C2×#11758222—22no—
67C22×Dic122D411yescharacteristic
68C22×D244D411yescharacteristic
69C22×C22⋊D61D411yescharacteristic
70C22×C22⋊D61D411yescharacteristic
71C22×C4×D61—21no—
72C22×C4×D61—21no—
73C22×C4×D61C2311yescharacteristic
74C22×C4×D61C2311yescharacteristic
75C2×#11758189—22no—
76C2×#11758189—22no—
77C2×#11758189D414yes—
78C22×#92418C2311yescharacteristic
79C22×#92418C2311yescharacteristic
80C2×C8×D61—22no—
81C2×C8×D61—22no—
82C2×C8×D61—22no—
83#14519735—22no—
84#14519735—22no—
85#14519735—22no—
86#14519735—22no—
87C2×C4⋊Dic61C2311yescharacteristic
88C2×C4⋊Dic61C2311yescharacteristic
89C2×C4⋊Dic61C2311yescharacteristic
90C2×C4⋊Dic61C2311yescharacteristic
91C2×#11758196—21no—
92C2×#11758196—21no—
93C4⋊C4×D61—22no—
94C4⋊C4×D61—22no—
95C4⋊C4×D61—22no—
96C4⋊C4×D61—22no—
97C2×C22⋊Dic61—21no—
98C2×C22⋊Dic61—21no—
99C2×#11758198—21no—
100C2×#11758198—21no—
101C2×#11758198—21no—
102C2×#11758198—21no—
103C2×#11758198—21no—
104C2×#11758198—21no—
105C2×C4×Dic61—21no—
106C2×C4×Dic61—21no—
107#14519711—22no—
108#14519710—22no—
109#14519708—22no—
110C22⋊#92418—22no—
111#14519689—22no—
112#14519689—22no—
113#14519684—21no—
114#14519684—21no—
115#14519684—21no—
116#14519684—21no—
117#14519684—21no—
118#14519684—21no—
119C23×C4×C61C2311yescharacteristic
120C22×C8×C61C2311yescharacteristic
121C22×C8×C61C2311yescharacteristic
122C2×C4⋊C4×C61C2311yescharacteristic
123C2×C4⋊C4×C61C2311yescharacteristic
124C2×C4⋊C4×C61C2311yescharacteristic
125C2×C4⋊C4×C61C2311yescharacteristic
126C2×C22⋊C4×C61—21no—
127C2×C22⋊C4×C61—21no—
128#106×C61—22no—
129C22⋊C8×C61—22no—
130#95×C61—21no—
131#95×C61—21no—
132C24×C61C2×D411yescharacteristic
133C23×D61C2×D411yescharacteristic
134C23×D61C2×D411yescharacteristic
135C22×C4×C61—21no—
136C22×C4×C61—21no—
137C22×C4×C61—21no—
138C22×C4×C61—21no—
139C22×C4×C61—21no—
140C22×C4×C61—21no—
141C22×C4×C61—21no—
142C22×C4×C61—21no—
143C22×C4×C61—21no—
144C22×C4×C61—21no—
145C22×C4×C61C2×D411yescharacteristic
146C22×C4×C61C2411yescharacteristic
147C2×C22⋊D61—22no—
148C2×C22⋊D61—22no—
149C2×C22⋊D61—22no—
150C2×C22⋊D61—22no—
151C2×C22⋊D61—22no—
152C2×C22⋊D61—22no—
153C22×Dic61—21no—
154C22×Dic61—21no—
155C22×Dic61—21no—
156C22×Dic61—21no—
157C22×Dic61C2×D411yescharacteristic
158C22×Dic61C2×D411yescharacteristic
159#11758222—44no—
160#11758222—44no—
161#11758222—44no—
162#11758222—44no—
163C2×D244—22no—
164C2×D244—22no—
165C2×D244—22no—
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—42no—
173C2×C4×D61—42no—
174C2×C4×D61—81no—
175C2×C4×D61—81no—
176C2×C4×D61—81no—
177C2×C4×D61—81no—
178C2×C4×D61C2×D412yes—
179C2×C4×D61#4112yes—
180C2×C4×D61#4112yes—
181C2×C4×D61#4112yes—
182C2×C4×D61#4112yes—
183C2×C4×D61#4112yes—
184C2×Dic122—22no—
185C2×Dic122—22no—
186C2×Dic122—22no—
187C2×C8×C61—21no—
188C2×C8×C61—21no—
189C2×C8×C61—21no—
190C2×C8×C61—21no—
191C2×C8×C61—21no—
192C2×C8×C61C2×D412yes—
193C4⋊C4×C61—21no—
194C4⋊C4×C61—21no—
195C4⋊C4×C61—21no—
196C4⋊C4×C61—21no—
197C4⋊C4×C61—21no—
198C4⋊C4×C61—21no—
199C4⋊C4×C61—21no—
200C4⋊C4×C61—21no—
201C22⋊C4×C61—81no—
202C22⋊C4×C61—81no—
203C22⋊Dic61—81no—
204C22⋊Dic61—81no—
205#11758198—42no—
206#11758198—42no—
207#11758198—81no—
208#11758198—81no—
209#11758198—81no—
210#11758198—81no—
211C4⋊Dic61—21no—
212C4⋊Dic61—21no—
213C4⋊Dic61—21no—
214C4⋊Dic61—21no—
215C4⋊Dic61—21no—
216C4⋊Dic61—21no—
217C4⋊Dic61—21no—
218C4⋊Dic61—21no—
219#11758196—42no—
220#11758196—42no—
221C4×Dic61—42no—
222C4×Dic61—42no—
223C2×#92418—21no—
224C2×#92418—21no—
225C2×#92418—21no—
226C2×#92418—21no—
227C2×#92418—21no—
228C2×#92418C2×D412yes—
229#11758189—28no—
230C8×D61—44no—
231C23×C61—21no—
232C23×C61—21no—
233C23×C61—21no—
234C23×C61—21no—
235C23×C61—21no—
236C23×C61—21no—
237C23×C61—21no—
238C23×C61C22×D411yescharacteristic
239C22×D61—21no—
240C22×D61—21no—
241C22×D61—21no—
242C22×D61—21no—
243C22×D61—21no—
244C22×D61—21no—
245C22×D61—21no—
246C22×D61—21no—
247C22×D61—21no—
248C22×D61—21no—
249C22×D61—21no—
250C22×D61#12112yes—
251C22×D61#12312yes—
252C22×D61#12312yes—
253C2×C4×C61—21no—
254C2×C4×C61—21no—
255C2×C4×C61—21no—
256C2×C4×C61—41no—
257C2×C4×C61—41no—
258C2×C4×C61—41no—
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×C61—41no—
269C2×C4×C61—41no—
270C2×C4×C61—41no—
271C2×C4×C61—41no—
272C2×C4×C61C22×D411yescharacteristic
273C2×C4×C61C2×#4111yescharacteristic
274C2×C4×C61C2×#4111yescharacteristic
275C2×C4×C61C2×#4111yescharacteristic
276C2×C4×C61C2×#4111yescharacteristic
277C2×C4×C61C2×#4111yescharacteristic
278C22⋊D61—44no—
279C22⋊D61—44no—
280C2×Dic61—21no—
281C2×Dic61—21no—
282C2×Dic61—21no—
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×Dic61—41no—
293C2×Dic61—41no—
294C2×Dic61—41no—
295C2×Dic61#12112yes—
296C2×Dic61#12312yes—
297C2×Dic61#12312yes—
298D244—44no—
299C4×D61—41no—
300C4×D61—41no—
301C4×D61—41no—
302C4×D61—41no—
303C4×D61—84no—
304C4×D61—84no—
305C4×D61#12314yes—
306C4×D61#12414yes—
307C4×D61#12614yes—
308C4×D61#12614yes—
309Dic122—44no—
310C8×C61—22no—
311C8×C61—41no—
312#92418—22no—
313#92418—41no—
314#23643—611nomaximal, Sylow
315C22×C61—41no—
316C22×C61—41no—
317C22×C61—41no—
318C22×C61—41no—
319C22×C61—41no—
320C22×C61—41no—
321C22×C61—41no—
322C22×C61C2×#12111yescharacteristic
323C22×C61C2×#12311yescharacteristic
324C22×C61C2×#12311yescharacteristic
325C22×C61#57611yescharacteristic
326C22×C61#57711yescharacteristic
327C22×C61#57711yescharacteristic
328C22×C61#57811yescharacteristic
329C2×D61—22no—
330C2×D61—22no—
331C2×D61—22no—
332C2×D61—22no—
333C2×D61—22no—
334C2×D61—22no—
335C2×D61—41no—
336C2×D61—41no—
337C2×D61—41no—
338C2×D61—41no—
339C2×D61—41no—
340C2×D61—41no—
341C2×D61—41no—
342C2×D61#39714yes—
343C4×C61—41no—
344C4×C61—81no—
345C4×C61—81no—
346C4×C61—81no—
347C4×C61—81no—
348C4×C61C2×#12311yescharacteristic
349C4×C61C2×#12411yescharacteristic
350C4×C61C2×#12611yescharacteristic
351C4×C61C2×#12611yescharacteristic
352Dic61—41no—
353Dic61—81no—
354Dic61—81no—
355Dic61—81no—
356Dic61—81no—
357Dic61#39714yes—
358C2×#428—611no—
359C2×#408—611no—
360#2311—611no—
361#2311—611no—
362#2077—611no—
363#2077—611no—
364#2077—611no—
365#2077D6111yescharacteristic, complemented
366#2076—611no—
367#2076—611no—
368#2075—611no—
369#2075—611no—
370#1736—611no—
371#1735—611no—
372C2×#340—611no—
373C2×C61—81no—
374C2×C61C2×#39711yescharacteristic
375C2×C61#306211yescharacteristic
376C2×C61#306311yescharacteristic
377C2×C61#309611yescharacteristic
378C2×C61#309711yescharacteristic
379C2×C61#309811yescharacteristic
380C2×C61#309911yescharacteristic
381D61—24no—
382D61—81no—
383C22×#41—611no—
384C22×M16—611no—
385C23×C8—611no—
386C2×#117—611no—
387C2×#117—611no—
388C22×C4⋊C4—611no—
389C22×C4⋊C4—611no—
390#428—1224no—
391C2×#107—611no—
392C2×#107—611no—
393C2×#106—611no—
394C2×#106C2×D6111yescharacteristic
395#408—1224no—
396C2×C22⋊C8—611no—
397C2×C22⋊C8—611no—
398C2×C22⋊C8—611no—
399C2×C22⋊C8C2×D6111yescharacteristic
400#391—1221no—
401#391—1221no—
402#390—1221no—
403#390—1221no—
404#386—1221no—
405#386—1221no—
406#386—1221no—
407#386—1221no—
408#380—611no—
409#380—611no—
410#380—611no—
411#380—611no—
412#380—611no—
413#380—611no—
414#380C2×D6111yescharacteristic
415#380C2×D6111yescharacteristic
416#340—611no—
417#340—611no—
418#340—611no—
419#340—611no—
420#340—611no—
421#340—611no—
422#340—611no—
423#340—611no—
424#340—611no—
425#340C2×D6111yescharacteristic
426#340C2×D6111yescharacteristic
427#340C2×D6111yescharacteristic
428C61#2364311yescharacteristic, complemented, Sylow
429C2×#41—1222no—
430C2×#41—1222no—
431C2×#41—1222no—
432C2×#41—1222no—
433C2×#41—1222no—
434C2×#41—1222no—
435C22×Q8—611no—
436C22×D4—611no—
437C22×D4—611no—
438C22×D4—611no—
439C23×C4—611no—
440C23×C4—611no—
441C23×C4—1221no—
442C23×C4—1221no—
443C23×C4C22×D6111yescharacteristic
444C2×M16—614no—
445C2×M16—1222no—
446C2×M16—1222no—
447C22×C8—611no—
448C22×C8—611no—
449C22×C8—1222no—
450C22×C8—1222no—
451C22×C8—1222no—
452C22×C8C22×D6111yescharacteristic
453C22×C8C22×D6111yescharacteristic
454#117—1222no—
455#117—1222no—
456#117—1222no—
457#117—1222no—
458C2×C4⋊C4—611no—
459C2×C4⋊C4—611no—
460C2×C4⋊C4—611no—
461C2×C4⋊C4—611no—
462C2×C4⋊C4—1222no—
463C2×C4⋊C4—1222no—
464C2×C4⋊C4—1222no—
465C2×C4⋊C4—1222no—
466C2×C4⋊C4—1221no—
467C2×C4⋊C4—1221no—
468C2×C4⋊C4C22×D6111yescharacteristic
469C2×C4⋊C4C22×D6111yescharacteristic
470C2×C4⋊C4C22×D6111yescharacteristic
471C2×C4⋊C4C22×D6111yescharacteristic
472C2×C22⋊C4—21no—
473C2×C22⋊C4—21no—
474C2×C22⋊C4—1221no—
475C2×C22⋊C4—1221no—
476C2×C22⋊C4—1221no—
477C2×C22⋊C4—1221no—
478C2×C22⋊C4—1221no—
479C2×C22⋊C4—1221no—
480C2×C22⋊C4—1221no—
481C2×C22⋊C4—1221no—
482C2×C42—1221no—
483C2×C42—1221no—
484#107—1222no—
485#107—1222no—
486#106—22no—
487#106—1222no—
488C22⋊C8—22no—
489C22⋊C8—1222no—
490C22⋊C8—1222no—
491C22⋊C8—1222no—
492#95—21no—
493#95—21no—
494#95—1221no—
495#95—1221no—
496#95—1221no—
497#95—1221no—
498#95—1221no—
499#95—1221no—
500C24—611no—
501C24—611no—
502C24D4×D6111yescharacteristic
503#41—2444no—
504#41—2444no—
505#41—2444no—
506#41—2444no—
507C2×Q8—1222no—
508C2×Q8—1222no—
509C2×Q8—1222no—
510C2×D4—1222no—
511C2×D4—1222no—
512C2×D4—1222no—
513C2×D4—1222no—
514C2×D4—1222no—
515C2×D4—1222no—
516C2×D4—1222no—
517C2×D4—1222no—
518C2×D4—1222no—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—21no—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—21no—
526C22×C4—21no—
527C22×C4—21no—
528C22×C4—21no—
529C22×C4—611no—
530C22×C4—612no—
531C22×C4—612no—
532C22×C4—612no—
533C22×C4—612no—
534C22×C4—612no—
535C22×C4—612no—
536C22×C4—611no—
537C22×C4—1221no—
538C22×C4—1221no—
539C22×C4—1221no—
540C22×C4—1221no—
541C22×C4—1221no—
542C22×C4—1221no—
543C22×C4—1221no—
544C22×C4—1221no—
545C22×C4—1221no—
546C22×C4—1221no—
547C22×C4—4881no—
548C22×C4—4881no—
549C22×C4—4881no—
550C22×C4—4881no—
551C22×C4—2442no—
552C22×C4—2442no—
553C22×C4D4×D6111yescharacteristic
554C22×C4C23×D6111yescharacteristic
555M16—1228no—
556C2×C8—21no—
557C2×C8—21no—
558C2×C8—21no—
559C2×C8—21no—
560C2×C8—21no—
561C2×C8—612no—
562C2×C8—1221no—
563C2×C8—1221no—
564C2×C8—1221no—
565C2×C8—1221no—
566C2×C8—1221no—
567C2×C8—2444no—
568C2×C8D4×D6112yes—
569C4⋊C4—21no—
570C4⋊C4—21no—
571C4⋊C4—21no—
572C4⋊C4—21no—
573C4⋊C4—21no—
574C4⋊C4—21no—
575C4⋊C4—21no—
576C4⋊C4—21no—
577C4⋊C4—1221no—
578C4⋊C4—1221no—
579C4⋊C4—1221no—
580C4⋊C4—1221no—
581C4⋊C4—1221no—
582C4⋊C4—1221no—
583C4⋊C4—1221no—
584C4⋊C4—1221no—
585C4⋊C4—2442no—
586C4⋊C4—2442no—
587C22⋊C4—81no—
588C22⋊C4—81no—
589C22⋊C4—4881no—
590C22⋊C4—4881no—
591C22⋊C4—4881no—
592C22⋊C4—4881no—
593C22⋊C4—4881no—
594C22⋊C4—4881no—
595C22⋊C4—2442no—
596C22⋊C4—2442no—
597C42—2442no—
598C42—2442no—
599C23—21no—
600C23—21no—
601C23—21no—
602C23—21no—
603C23—21no—
604C23—21no—
605C23—21no—
606C23—612no—
607C23—612no—
608C23—612no—
609C23—1221no—
610C23—1221no—
611C23—1221no—
612C23—1221no—
613C23—1221no—
614C23—1221no—
615C23—1221no—
616C23—1221no—
617C23—1221no—
618C23—1221no—
619C23—1221no—
620C23C2×D4×D6111yescharacteristic
621Q8—2444no—
622D4—2444no—
623D4—2444no—
624D4—2444no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—612no—
645C2×C4—612no—
646C2×C4—612no—
647C2×C4—614no—
648C2×C4—614no—
649C2×C4—614no—
650C2×C4—614no—
651C2×C4—1221no—
652C2×C4—1221no—
653C2×C4—1221no—
654C2×C4—4884no—
655C2×C4—4884no—
656C2×C4—2441no—
657C2×C4—2441no—
658C2×C4—2441no—
659C2×C4—2441no—
660C2×C4—2441no—
661C2×C4—2441no—
662C2×C4—2441no—
663C2×C4—2441no—
664C2×C4—2441no—
665C2×C4—2441no—
666C2×C4—2441no—
667C2×C4—2441no—
668C2×C4—2441no—
669C2×C4—2441no—
670C2×C4—2441no—
671C2×C4—2441no—
672C2×C4C2×D4×D6111yescharacteristic
673C2×C4#41×D6111yescharacteristic
674C2×C4#41×D6111yescharacteristic
675C2×C4#41×D6111yescharacteristic
676C2×C4#41×D6111yescharacteristic
677C2×C4#41×D6111yescharacteristic
678C8—22no—
679C8—41no—
680C8—1222no—
681C8—2441no—
682C22—41no—
683C22—41no—
684C22—41no—
685C22—41no—
686C22—41no—
687C22—41no—
688C22—41no—
689C22—614no—
690C22—1222no—
691C22—1222no—
692C22—1222no—
693C22—1222no—
694C22—1222no—
695C22—1222no—
696C22—2441no—
697C22—2441no—
698C22—2441no—
699C22—2441no—
700C22—2441no—
701C22—2441no—
702C22—2441no—
703C22#121×D6111yescharacteristic
704C22#123×D6111yescharacteristic
705C22#123×D6111yescharacteristic
706C22#1684056611yescharacteristic
707C22#1684056811yescharacteristic
708C22#1684057111yescharacteristic
709C22#1684057611yescharacteristic
710C4—41no—
711C4—81no—
712C4—81no—
713C4—81no—
714C4—81no—
715C4—614no—
716C4—4881no—
717C4—4881no—
718C4—4881no—
719C4—4881no—
720C4—2441no—
721C4#123×D6111yescharacteristic
722C4#124×D6111yescharacteristic
723C4#126×D6111yescharacteristic
724C4#126×D6111yescharacteristic
725C2—81no—
726C2—1224no—
727C2—4881no—
728C2#397×D6111yescharacteristic
729C2#2145549411yescharacteristic
730C2#2145550311yescharacteristic
731C2#2145577611yescharacteristic
732C2#2145578311yescharacteristic
733C2#2145579411yescharacteristic
734C2#2145580311yescharacteristic
subgroupG/H
centerC23C2×D4×D61
commutator, cosocleC22×C4×C61C24
FrattiniC22×C4C23×D61
FittingC61×#2077C2
socleC23×C61C22×D4
prime radicalC22×#11758222C22
hypercenter#2077D61
hypocenterC61#23643
LCSG ▷ C22×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C23×C4 ◁ #2077

Complements

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

NH ≅ G/Ntype
1. C2×#16839801C2semidirect
5. #21447257C2semidirect
6. #21447256C2semidirect
7. #21447253C2semidirect
8. #21447251C2semidirect
9. #21447247C2semidirect
10. #21447245C2semidirect
11. #21447244C2semidirect
12. #21445537C2semidirect
13. #21445534C2semidirect
14. #340×D61C2semidirect
15. C61×#2077C2semidirect
365. #2077D61semidirect
428. C61#23643semidirect

Maximal subgroups

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

subgroupindex
C2×#168398012
C2×#168397272
#214484082
#214472572
#214472562
#214472532
#214472512
#214472472
#214472452
#214472442
#214455372
#214455342
#340×D612
C61×#20772
#2364361