Finite Group Databasebeta

← #29647667

Subgroups — #29647667

Order 15616.

1298 conjugacy classes of subgroups.

The subgroup lattice has 740 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459491C211yesmaximal, characteristic
2#21454269C211yesmaximal, characteristic, complemented
3#21448647C211yesmaximal, characteristic, complemented
4#21444390C211yesmaximal, characteristic, complemented
5#21444372C212yesmaximal, complemented
6#21444350C212yesmaximal, complemented
7#21444340C211yesmaximal, characteristic, complemented
8#21444320C212yesmaximal, complemented
9#21444310C211yesmaximal, characteristic, complemented
10#328×D61C212yesmaximal, complemented
11C61×#1513C211yesmaximal, characteristic, complemented
12C2×#14519824C411yescharacteristic, complemented
13C22×#11758222C2211yescharacteristic
14C2×#14519785—21no—
15D4×Dic122—21no—
16#16840421—21no—
17#16840417—21no—
18#16840410—22no—
19#16840408—21no—
20#16840399—22no—
21#16840341C412yescomplemented
22#16840340C411yescharacteristic, complemented
23#16840338C411yescharacteristic, complemented
24#16840335C412yescomplemented
25#16840272C2212yes—
26C2×#14519756C2211yescharacteristic
27C22⋊Q8×D61C2212yes—
28#16840242C411yescharacteristic, complemented
29C2×#14519739—21no—
30#16839730—21no—
31#16839727—22no—
32#16839724C2212yes—
33C2×C22⋊#92418C2211yescharacteristic
34C22⋊C8×D61C2212yes—
35#16839667—21no—
36#16839638—22no—
37#16839624C2212yes—
38C4×C22⋊Dic61C2211yescharacteristic
39#95×D61C2212yes—
40#16839500C2212yes—
41#16839500C2212yes—
42#16839499C2211yescharacteristic
43#16839499C2211yescharacteristic
44#16839498C2212yes—
45#16839498C2212yes—
46#16839496C2211yescharacteristic
47#16839496C2211yescharacteristic
48C61×#525C2211yescharacteristic
49C61×#407C2211yescharacteristic
50C61×#380C2211yescharacteristic
51C61×#328C2212yes—
52C61×#327C2212yes—
53#14519824—44no—
54C2×#11758222—21no—
55C2×#11758222—44no—
56C2×#11758222C2×C411yescharacteristic
57C2×#11758222C2×C412yes—
58C2×#11758222C2×C411yescharacteristic
59C2×#11758222D411yescharacteristic
60C2×#11758222D412yes—
61C2×#11758222D411yescharacteristic
62C2×#11758224—22no—
63C2×#11758224C2×C412yescomplemented
64C22×Dic122—21no—
65C22×Dic122C2×C411yescharacteristic, complemented
66C22×Dic122D411yescharacteristic
67C2×Q8×D61C2×C412yescomplemented
68C22×D244D411yescharacteristic
69C22×C22⋊D61D412yes—
70C22×C4×D61—22no—
71C22×C4×D61C2312yes—
72#14519785—44no—
73C2×#11758189—22no—
74C22×#92418—21no—
75C2×C8×D61—22no—
76#14519777—21no—
77#14519776—22no—
78#14519765—21no—
79#14519763—22no—
80#14519762—22no—
81#14519761—22no—
82#14519759—22no—
83#14519759—22no—
84#14519757C2×C412yescomplemented
85#14519757C2×C412yescomplemented
86#14519756—21no—
87#14519756—21no—
88#14519756—21no—
89#14519756C2×C412yescomplemented
90#14519756C2312yes—
91#14519755—22no—
92#14519754—22no—
93#14519754—22no—
94#14519753C2×C412yescomplemented
95#14519751—21no—
96#14519750—22no—
97#14519749—22no—
98#14519749—22no—
99#14519748—22no—
100#14519748C2×C412yescomplemented
101#14519745—22no—
102C4×Dic122—21no—
103C4×D244—21no—
104D4×Dic61—22no—
105#14519739—44no—
106#14519737—22no—
107#14519737—22no—
108#14519735C2×C412yescomplemented
109C2×C4⋊Dic61C2×C411yescharacteristic, complemented
110C2×#11758196—21no—
111C4⋊C4×D61—22no—
112C4⋊C4×D61C2×C412yescomplemented
113C2×C22⋊Dic61—21no—
114C2×C22⋊Dic61—21no—
115C2×#11758198—22no—
116C22⋊C4×D61—22no—
117C2×C4×Dic61—21no—
118C22⋊#92418—21no—
119C22⋊#92418C2311yescharacteristic
120C22⋊#92418C2311yescharacteristic
121#14519689—22no—
122#14519689—22no—
123#14519684—22no—
124#14519684—22no—
125#14519684C2311yescharacteristic
126#14519684C2311yescharacteristic
127C2×#41×C61C2×C411yescharacteristic, complemented
128C23×C4×C61C2311yescharacteristic
129C2×M16×C61—21no—
130#123×C61—21no—
131C22⋊Q8×C61C2×C411yescharacteristic, complemented
132C22⋊Q8×C61C2311yescharacteristic
133#121×C61C2×C411yescharacteristic, complemented
134#121×C61C2311yescharacteristic
135#120×C61—21no—
136C4×D4×C61—21no—
137C4×D4×C61—21no—
138#117×C61C2×C411yescharacteristic, complemented
139C2×C4⋊C4×C61—21no—
140C2×C22⋊C4×C61—21no—
141C22⋊C8×C61—21no—
142C22⋊C8×C61C2312yes—
143#95×C61C2312yes—
144C24×C61C2×D411yescharacteristic
145C23×D61C2×D412yes—
146#41×C61—42no—
147C2×Q8×C61C22×C411yescharacteristic
148C2×D4×C61—21no—
149C2×D4×C61—21no—
150C2×D4×C61—21no—
151C2×D4×C61C22×C411yescharacteristic
152C22×C4×C61—21no—
153C22×C4×C61—22no—
154C22×C4×C61—42no—
155C22×C4×C61C22×C411yescharacteristic
156C22×C4×C61C22×C411yescharacteristic
157C22×C4×C61C2×D411yescharacteristic
158C22×C4×C61C2×D411yescharacteristic
159C22×C4×C61C2×D411yescharacteristic
160C22×C4×C61C2411yescharacteristic
161C2×C22⋊D61—22no—
162C2×C22⋊D61—22no—
163C2×C22⋊D61—44no—
164C2×C22⋊D61C22⋊C412yes—
165C2×C22⋊D61C22⋊C412yes—
166C2×C22⋊D61C22⋊C412yes—
167C2×C22⋊D61C22⋊C412yes—
168C22×Dic61—21no—
169C22×Dic61—21no—
170C22×Dic61—21no—
171C22×Dic61—22no—
172C22×Dic61—21no—
173C22×Dic61C2×D412yes—
174Q8×D61—44no—
175#11758224—44no—
176#11758224—48no—
177#11758222—24no—
178#11758222—24no—
179#11758222—42no—
180#11758222—42no—
181#11758222—44no—
182#11758222—44no—
183#11758222—44no—
184C2×D244—24no—
185C2×D244C22⋊C412yes—
186C2×D244C22⋊C411yescharacteristic
187C2×D244C22⋊C411yescharacteristic
188C2×C4×D61—22no—
189C2×C4×D61—22no—
190C2×C4×D61—44no—
191C2×C4×D61—44no—
192C2×C4×D61—44no—
193C2×C4×D61—82no—
194C2×C4×D61C22×C412yes—
195C2×C4×D61C22×C412yes—
196C2×C4×D61C2×D412yes—
197C2×C4×D61C2×D412yes—
198C2×Dic122—21no—
199C2×Dic122—22no—
200C2×Dic122—42no—
201C2×Dic122—44no—
202C2×Dic122—42no—
203C2×Dic122C22⋊C411yescharacteristic
204C2×Dic122C22⋊C411yescharacteristic
205C2×Dic122C22⋊C412yes—
206C2×Dic122C22×C412yes—
207M16×C61—42no—
208C2×C8×C61—22no—
209C4⋊C4×C61—21no—
210C4⋊C4×C61—21no—
211C4⋊C4×C61—42no—
212C4⋊C4×C61C22×C411yescharacteristic
213C4⋊C4×C61C22×C411yescharacteristic
214C22⋊C4×C61—21no—
215C22⋊C4×C61—21no—
216C22⋊C4×C61—21no—
217C22⋊C4×C61—21no—
218C22⋊C4×C61—21no—
219C22⋊C4×C61—81no—
220C42×C61—21no—
221C22⋊Dic61—22no—
222C22⋊Dic61—22no—
223C22⋊Dic61—22no—
224C22⋊Dic61—42no—
225#11758198—22no—
226#11758198—22no—
227#11758198—22no—
228#11758198—22no—
229#11758198—44no—
230C4⋊Dic61—21no—
231C4⋊Dic61—22no—
232C4⋊Dic61—22no—
233C4⋊Dic61C22×C412yes—
234#11758196—22no—
235#11758196—22no—
236#11758196—22no—
237#11758196—22no—
238C4×Dic61—22no—
239C4×Dic61—42no—
240C2×#92418—21no—
241C2×#92418—21no—
242C2×#92418—42no—
243#11758189—44no—
244C8×D61—44no—
245C23×C61—21no—
246C23×C61—21no—
247C23×C61—21no—
248C23×C61—41no—
249C23×C61—41no—
250C23×C61C2×C22⋊C411yescharacteristic
251C23×C61C2×C22⋊C411yescharacteristic
252C23×C61C22×D411yescharacteristic
253C22×D61—22no—
254C22×D61—22no—
255C22×D61—24no—
256C22×D61—42no—
257C22×D61C2×C22⋊C412yes—
258C22×D61C2×C22⋊C412yes—
259Q8×C61—41no—
260D4×C61—41no—
261D4×C61—42no—
262D4×C61—41no—
263D4×C61—41no—
264D4×C61—81no—
265C2×C4×C61—22no—
266C2×C4×C61—22no—
267C2×C4×C61—22no—
268C2×C4×C61—21no—
269C2×C4×C61—21no—
270C2×C4×C61—21no—
271C2×C4×C61—41no—
272C2×C4×C61—41no—
273C2×C4×C61—41no—
274C2×C4×C61—42no—
275C2×C4×C61—42no—
276C2×C4×C61—42no—
277C2×C4×C61—42no—
278C2×C4×C61C2×C22⋊C411yescharacteristic
279C2×C4×C61C2×C22⋊C411yescharacteristic
280C2×C4×C61C23×C411yescharacteristic
281C2×C4×C61C22×D411yescharacteristic
282C22⋊D61—24no—
283C22⋊D61—24no—
284C22⋊D61—42no—
285C22⋊D61—42no—
286C22⋊D61—44no—
287C22⋊D61—82no—
288C2×Dic61—22no—
289C2×Dic61—22no—
290C2×Dic61—22no—
291C2×Dic61—42no—
292C2×Dic61—44no—
293C2×Dic61—41no—
294C2×Dic61—42no—
295C2×Dic61—41no—
296C2×Dic61—41no—
297C2×Dic61—41no—
298C2×Dic61—41no—
299C2×Dic61—81no—
300C2×Dic61C2×C22⋊C412yes—
301C2×Dic61C2×C22⋊C412yes—
302D244—24no—
303D244—22no—
304D244#9914yes—
305C4×D61—24no—
306C4×D61—24no—
307C4×D61—42no—
308C4×D61—42no—
309C4×D61—44no—
310C4×D61—82no—
311C4×D61—88no—
312Dic122—22no—
313Dic122—22no—
314Dic122—42no—
315Dic122—44no—
316Dic122—42no—
317Dic122—42no—
318C8×C61—42no—
319#92418—41no—
320#92418—41no—
321#17608—611nomaximal, Sylow
322C22×C61—21no—
323C22×C61—21no—
324C22×C61—21no—
325C22×C61—21no—
326C22×C61—21no—
327C22×C61—21no—
328C22×C61—21no—
329C22×C61—21no—
330C22×C61—41no—
331C22×C61—41no—
332C22×C61—41no—
333C22×C61—81no—
334C22×C61—81no—
335C22×C61C22×C22⋊C411yescharacteristic
336C22×C61#57711yescharacteristic
337C22×C61#57811yescharacteristic
338C2×D61—22no—
339C2×D61—22no—
340C2×D61—22no—
341C2×D61—22no—
342C2×D61—22no—
343C2×D61—44no—
344C2×D61—44no—
345C2×D61C2×#9914yes—
346C4×C61—21no—
347C4×C61—21no—
348C4×C61—21no—
349C4×C61—41no—
350C4×C61—41no—
351C4×C61—41no—
352C4×C61—82no—
353C4×C61C2×#9912yes—
354Dic61—22no—
355Dic61—22no—
356Dic61—42no—
357Dic61—42no—
358Dic61—42no—
359Dic61—81no—
360#3489—611no—
361#2880—611no—
362#2339—611no—
363#1520—611no—
364#1516—612no—
365#1513D6111yescharacteristic, complemented
366#1511—612no—
367#1508—611no—
368#1504—612no—
369#1501—611no—
370C2×#328—612no—
371C2×C61—21no—
372C2×C61—21no—
373C2×C61—41no—
374C2×C61—41no—
375C2×C61—81no—
376C2×C61C22×#9911yescharacteristic
377C2×C61#289811yescharacteristic
378C2×C61#290111yescharacteristic
379D61—24no—
380D61—42no—
381C2×2−1+4—611no—
382C22×#41—611no—
383C2×#131—1221no—
384D4×Q8—1221no—
385#548—1221no—
386#547—1221no—
387#547—1222no—
388#546—1221no—
389#546—1222no—
390#537—611no—
391#537—612no—
392#536—612no—
393#536—611no—
394#525—612no—
395#525C2×D6111yescharacteristic
396C2×C22⋊Q8—611no—
397C2×C22⋊Q8—612no—
398#520—611no—
399C2×C4×D4—1221no—
400#408—1222no—
401#408—1221no—
402#407—612no—
403#407C2×D6111yescharacteristic
404C2×C22⋊C8—611no—
405C2×C22⋊C8—612no—
406#391—1221no—
407#386—1222no—
408#381—612no—
409#380C2×D6111yescharacteristic
410C4×C22⋊C4—611no—
411C2×#95—612no—
412#328—611no—
413#328—611no—
414#328—612no—
415#328—612no—
416#328—612no—
417#328—612no—
418#328C2×D6112yes—
419#327—611no—
420#327—611no—
421#327C2×D6112yes—
422C61#1760811yescharacteristic, complemented, Sylow
4232−1+4—2444no—
424C2×#41—611no—
425C2×#41—612no—
426C2×#41—611no—
427C2×#41—611no—
428C2×#41—612no—
429C2×#41—611no—
430C2×#41—612no—
431C2×#41—1221no—
432C2×#41—1222no—
433C2×#41—2444no—
434C2×#41C4×D6111yescharacteristic, complemented
435C22×Q8—611no—
436C22×Q8—612no—
437C22×Q8—611no—
438C22×Q8—1221no—
439C22×D4—612no—
440C22×D4—611no—
441C23×C4—612no—
442C23×C4—1222no—
443C23×C4C22×D6111yescharacteristic
444#131—2444no—
445C2×M16—21no—
446C2×M16—1222no—
447C22×C8—1222no—
448C22×C8—1221no—
449C4⋊Q8—1221no—
450C4⋊Q8—1222no—
451#124—1221no—
452#124—1222no—
453#123—21no—
454#123—1222no—
455#123—1222no—
456#123—1222no—
457#123—1222no—
458C22⋊Q8—612no—
459C22⋊Q8—612no—
460C22⋊Q8—612no—
461C22⋊Q8—612no—
462C22⋊Q8—612no—
463C22⋊Q8—1222no—
464C22⋊Q8—1222no—
465C22⋊Q8—1222no—
466C22⋊Q8—1221no—
467C22⋊Q8—1221no—
468C22⋊Q8—1221no—
469C22⋊Q8C4×D6111yescharacteristic, complemented
470C22⋊Q8C22×D6111yescharacteristic
471#121—612no—
472#121—1222no—
473#121—1221no—
474#121—1222no—
475#121—1222no—
476#121—1222no—
477#121C4×D6111yescharacteristic, complemented
478#121C22×D6111yescharacteristic
479#120—21no—
480#120—1222no—
481C4×Q8—1221no—
482C4×D4—21no—
483C4×D4—21no—
484C4×D4—1221no—
485C4×D4—1222no—
486C4×D4—1222no—
487C4×D4—1222no—
488C4×D4—2444no—
489#117—612no—
490#117C4×D6111yescharacteristic, complemented
491C2×C4⋊C4—21no—
492C2×C4⋊C4—611no—
493C2×C4⋊C4—612no—
494C2×C4⋊C4—1222no—
495C2×C4⋊C4—1221no—
496C2×C22⋊C4—21no—
497C2×C22⋊C4—1222no—
498C2×C22⋊C4—1221no—
499C2×C22⋊C4—1222no—
500C2×C22⋊C4—1221no—
501C2×C42—1221no—
502C22⋊C8—21no—
503C22⋊C8—611no—
504C22⋊C8—611no—
505C22⋊C8—1222no—
506C22⋊C8—1222no—
507C22⋊C8—1221no—
508C22⋊C8C22×D6112yes—
509#95—611no—
510#95—611no—
511#95—1222no—
512#95—1222no—
513#95C22×D6112yes—
514C24—612no—
515C24D4×D6111yescharacteristic
516#41—42no—
517#41—1224no—
518#41—1224no—
519#41—2442no—
520#41—2442no—
521#41—2444no—
522#41—2444no—
523#41—2444no—
524#41—2444no—
525#41—2448no—
526C2×Q8—611no—
527C2×Q8—611no—
528C2×Q8—612no—
529C2×Q8—612no—
530C2×Q8—1222no—
531C2×Q8—1221no—
532C2×Q8—2442no—
533C2×Q8—2442no—
534C2×Q8—2444no—
535C2×Q8—2444no—
536C2×Q8C2×C4×D6111yescharacteristic
537C2×D4—21no—
538C2×D4—21no—
539C2×D4—21no—
540C2×D4—612no—
541C2×D4—612no—
542C2×D4—612no—
543C2×D4—612no—
544C2×D4—611no—
545C2×D4—612no—
546C2×D4—611no—
547C2×D4—1224no—
548C2×D4—1222no—
549C2×D4—1222no—
550C2×D4—2444no—
551C2×D4C2×C4×D6111yescharacteristic
552C22×C4—21no—
553C22×C4—22no—
554C22×C4—42no—
555C22×C4—612no—
556C22×C4—612no—
557C22×C4—612no—
558C22×C4—612no—
559C22×C4—612no—
560C22×C4—1222no—
561C22×C4—1222no—
562C22×C4—1222no—
563C22×C4—1221no—
564C22×C4—1221no—
565C22×C4—1221no—
566C22×C4—1221no—
567C22×C4—4882no—
568C22×C4—2444no—
569C22×C4—2444no—
570C22×C4—2444no—
571C22×C4C2×C4×D6111yescharacteristic
572C22×C4C2×C4×D6111yescharacteristic
573C22×C4D4×D6111yescharacteristic
574C22×C4D4×D6111yescharacteristic
575C22×C4D4×D6111yescharacteristic
576C22×C4C23×D6111yescharacteristic
577M16—42no—
578M16—2444no—
579C2×C8—22no—
580C2×C8—1221no—
581C2×C8—1221no—
582C2×C8—2444no—
583C2×C8—2442no—
584C4⋊C4—21no—
585C4⋊C4—21no—
586C4⋊C4—42no—
587C4⋊C4—612no—
588C4⋊C4—1222no—
589C4⋊C4—1222no—
590C4⋊C4—1222no—
591C4⋊C4—1222no—
592C4⋊C4—1222no—
593C4⋊C4—1221no—
594C4⋊C4—1222no—
595C4⋊C4C2×C4×D6111yescharacteristic
596C4⋊C4C2×C4×D6111yescharacteristic
597C22⋊C4—21no—
598C22⋊C4—21no—
599C22⋊C4—21no—
600C22⋊C4—21no—
601C22⋊C4—21no—
602C22⋊C4—81no—
603C22⋊C4—1222no—
604C22⋊C4—1222no—
605C22⋊C4—1222no—
606C22⋊C4—1222no—
607C22⋊C4—1222no—
608C22⋊C4—1222no—
609C22⋊C4—1222no—
610C22⋊C4—2444no—
611C22⋊C4—2442no—
612C42—21no—
613C42—1222no—
614C42—2442no—
615C23—21no—
616C23—21no—
617C23—21no—
618C23—41no—
619C23—41no—
620C23—612no—
621C23—612no—
622C23—1224no—
623C23—1222no—
624C23—1222no—
625C23—2442no—
626C23C22⋊C4×D6111yescharacteristic
627C23C22⋊C4×D6111yescharacteristic
628C23C2×D4×D6111yescharacteristic
629Q8—41no—
630Q8—1222no—
631Q8—1222no—
632Q8—2442no—
633Q8—2442no—
634Q8—2444no—
635Q8—2442no—
636D4—41no—
637D4—42no—
638D4—41no—
639D4—41no—
640D4—81no—
641D4—614no—
642D4—1224no—
643D4—1224no—
644D4—1224no—
645D4—1222no—
646D4—4882no—
647D4—2442no—
648D4—2442no—
649D4—2444no—
650C2×C4—22no—
651C2×C4—22no—
652C2×C4—22no—
653C2×C4—21no—
654C2×C4—21no—
655C2×C4—21no—
656C2×C4—41no—
657C2×C4—41no—
658C2×C4—41no—
659C2×C4—42no—
660C2×C4—42no—
661C2×C4—42no—
662C2×C4—42no—
663C2×C4—612no—
664C2×C4—612no—
665C2×C4—1224no—
666C2×C4—1224no—
667C2×C4—1222no—
668C2×C4—1222no—
669C2×C4—1222no—
670C2×C4—4882no—
671C2×C4—4888no—
672C2×C4—4881no—
673C2×C4—2442no—
674C2×C4—2442no—
675C2×C4—2444no—
676C2×C4—2442no—
677C2×C4—2444no—
678C2×C4—2441no—
679C2×C4—2441no—
680C2×C4—2441no—
681C2×C4—2441no—
682C2×C4—2442no—
683C2×C4—2441no—
684C2×C4C22⋊C4×D6111yescharacteristic
685C2×C4C22⋊C4×D6111yescharacteristic
686C2×C4C22×C4×D6111yescharacteristic
687C2×C4C2×D4×D6111yescharacteristic
688C8—42no—
689C8—2441no—
690C8—2441no—
691C22—21no—
692C22—21no—
693C22—21no—
694C22—21no—
695C22—21no—
696C22—21no—
697C22—21no—
698C22—21no—
699C22—41no—
700C22—41no—
701C22—41no—
702C22—81no—
703C22—81no—
704C22—614no—
705C22—1222no—
706C22—1222no—
707C22—1222no—
708C22—1222no—
709C22—1222no—
710C22—2444no—
711C22—2444no—
712C22C2×C22⋊C4×D6111yescharacteristic
713C22#1684057211yescharacteristic
714C22#1684057811yescharacteristic
715C4—21no—
716C4—21no—
717C4—21no—
718C4—41no—
719C4—41no—
720C4—41no—
721C4—82no—
722C4—1222no—
723C4—1222no—
724C4—4881no—
725C4—2442no—
726C4—2442no—
727C4—2442no—
728C4#99×D6112yes—
729C2—21no—
730C2—21no—
731C2—41no—
732C2—41no—
733C2—81no—
734C2—1224no—
735C2—2442no—
736C2C2×#99×D6111yescharacteristic
737C2#2145435011yescharacteristic
738C2#2145436511yescharacteristic
subgroupG/H
centerC22C2×C22⋊C4×D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#1513C2
socleC22×C61C22×C22⋊C4
prime radical#21459491C2
cosocleC22×C4×C61C24
hypercenter#1513D61
hypocenterC61#17608
LCSG ▷ C2×C4×C61 ▷ C22×C61 ▷ C61
UCSC1 ◁ C22 ◁ C23×C4 ◁ #1513

Complements

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

NH ≅ G/Ntype
2. #21454269C2semidirect
3. #21448647C2semidirect
4. #21444390C2semidirect
5. #21444372C2semidirect
6. #21444350C2semidirect
7. #21444340C2semidirect
8. #21444320C2semidirect
9. #21444310C2semidirect
10. #328×D61C2semidirect
11. C61×#1513C2semidirect
12. C2×#14519824C4semidirect
21. #16840341C4semidirect
22. #16840340C4semidirect
23. #16840338C4semidirect
24. #16840335C4semidirect
28. #16840242C4semidirect
63. C2×#11758224C2×C4semidirect
65. C22×Dic122C2×C4semidirect
67. C2×Q8×D61C2×C4semidirect
84. #14519757C2×C4semidirect
85. #14519757C2×C4semidirect
89. #14519756C2×C4semidirect
94. #14519753C2×C4semidirect
100. #14519748C2×C4semidirect
108. #14519735C2×C4semidirect
109. C2×C4⋊Dic61C2×C4semidirect
112. C4⋊C4×D61C2×C4semidirect
127. C2×#41×C61C2×C4semidirect
131. C22⋊Q8×C61C2×C4semidirect
133. #121×C61C2×C4semidirect
138. #117×C61C2×C4semidirect
365. #1513D61semidirect
422. C61#17608semidirect
434. C2×#41C4×D61semidirect
469. C22⋊Q8C4×D61semidirect
477. #121C4×D61semidirect
490. #117C4×D61semidirect

Maximal subgroups

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

subgroupindex
#214594912
#214542692
#214486472
#214443902
#214443722
#214443502
#214443402
#214443202
#214443102
#328×D612
C61×#15132
#1760861