Finite Group Databasebeta

← #30547089

Subgroups — #30547089

Order 15616.

2678 conjugacy classes of subgroups.

The subgroup lattice has 732 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840577C211yesmaximal, characteristic, complemented
2C2×#16840570C211yesmaximal, characteristic, complemented
3#21459612C211yesmaximal, characteristic, complemented
4#21455369C213yesmaximal, complemented
5#21455358C213yesmaximal, complemented
6#21455349C213yesmaximal, complemented
7#21455340C213yesmaximal, complemented
8#21455313C213yesmaximal, complemented
9#21455291C213yesmaximal, complemented
10#21455274C213yesmaximal, complemented
11C2×#16839984C213yesmaximal, complemented
12#21454387C211yesmaximal, characteristic, complemented
13#21454349C211yesmaximal, characteristic, complemented
14#21454342C211yesmaximal, characteristic, complemented
15C4×2−1+4×C61C211yesmaximal, characteristic, complemented
16C2×#14519824C2211yescharacteristic
17C2×#14519823C2211yescharacteristic
18#16840577—28no—
19#16840570—28no—
20C2×#14519808C2213yes—
21C2×#14519808C2213yescomplemented
22C2×#14519807C2213yescomplemented
23C2×#14519802C2213yes—
24C2×#14519797C2213yes—
25C2×#14519797C2213yescomplemented
26C22×#11758202C2213yescomplemented
27C22×#11758201C2213yes—
28C2×#14519784C2211yescharacteristic
29C2×#14519784C2211yescharacteristic
30#16840424—21no—
31#16840424—21no—
32#16840407—23no—
33#16840407—23no—
34#16840338C2213yes—
35#16840331C2213yes—
36#16840312C2213yes—
37C2×#14519765C2213yes—
38#16839984C2216yescomplemented
39#16839984C2213yescomplemented
40#16839984C2216yescomplemented
41#16839984C2216yescomplemented
42#16839984C2213yescomplemented
43#16839984C2216yescomplemented
44#16839977C2216yescomplemented
45#16839977C2211yescharacteristic, complemented
46#16839977C2213yescomplemented
47#16839972C2216yescomplemented
48#16839972C2213yescomplemented
49#16839967C2213yescomplemented
50#16839962C2213yescomplemented
51#16839962C2216yescomplemented
52#16839957C2213yescomplemented
53#16839789C2213yescomplemented
54#16839789C2213yescomplemented
55#16839786C2213yescomplemented
56C2×C4⋊#92418C2213yescomplemented
57#16839770C2213yescomplemented
58#16839766C2213yes—
59#16839761C2213yes—
60#16839761C2213yescomplemented
61#16839756C2213yes—
62#16839756C2213yescomplemented
63C2×#14519700C2213yescomplemented
64C2×#14519697C2213yes—
65C2×2−1+4×C61C2211yescharacteristic
66C61×#520—23no—
67C61×#520C2211yescharacteristic
68C61×#520C2213yescomplemented
69C61×#519—21no—
70C61×#519C2213yescomplemented
71C4×#41×C61—23no—
72C4×#41×C61C2211yescharacteristic
73C4×#41×C61C2213yescomplemented
74C2×C4×Q8×C61—21no—
75C2×C4×Q8×C61C2213yescomplemented
76#14519824—24no—
77#14519824—24no—
78#14519823—24no—
79#14519823—24no—
80C2×#11758226—21no—
81C2×#11758222C2313yes—
82C2×#11758222C2313yes—
83C2×#11758224—23no—
84C22×Dic122C2313yes—
85C2×Q8×D61—21no—
86C22×D244C2313yes—
87C2×D4×D61—23no—
88#14519808—212no—
89#14519808—212no—
90#14519807—212no—
91#14519802—212no—
92#14519797—212no—
93#14519797—212no—
94C2×#11758202—212no—
95C2×#11758202C2313yes—
96C2×#11758202C2313yes—
97C2×#11758202C2316yes—
98C2×#11758200C2311yescharacteristic
99C2×#11758200C2313yes—
100C2×#11758201—212no—
101C2×#11758201C2313yes—
102C2×#11758201C2313yes—
103C2×#11758201C2316yes—
104C2×#11758199C2311yescharacteristic
105C2×#11758199C2313yes—
106#14519784—24no—
107#14519784—24no—
108C2×#11758194C2313yes—
109C2×#11758194C2313yes—
110C22×#92418C2313yes—
111C22×#92418C2313yes—
112#14519777C2313yes—
113#14519774C2313yes—
114#14519765—23no—
115#14519765—23no—
116#14519765C2313yes—
117#14519765C2316yes—
118#14519765C2311yescharacteristic
119#14519761—26no—
120#14519757—23no—
121#14519757—23no—
122#14519752—23no—
123#14519752—23no—
124#14519751—23no—
125#14519751—23no—
126#14519747—26no—
127C4×D244—23no—
128C4×D244—23no—
129C2×#11758198—23no—
130C2×#11758198—23no—
131C4⋊#92418C2313yes—
132C4⋊#92418C2313yes—
133C4⋊#92418C2316yes—
134C4⋊#92418C2311yescharacteristic
135C4⋊#92418C2313yes—
136#14519700C2313yes—
137#14519700C2313yes—
138#14519700C2311yescharacteristic
139#14519700C2316yes—
140#14519700C2313yes—
141#14519697C2313yes—
142#14519697C2313yes—
143#14519697C2311yescharacteristic
144#14519697C2316yes—
145#14519697C2313yes—
1462−1+4×C61—24no—
1472−1+4×C61D418yescomplemented
148C2×#41×C61—23no—
149C2×#41×C61C2313yes—
150C2×#41×C61C2311yescharacteristic
151C22×Q8×C61—21no—
152C22×Q8×C61C2313yes—
153C4×Q8×C61—21no—
154C4×Q8×C61—23no—
155C4×Q8×C61—23no—
156C4×Q8×C61—23no—
157C4×Q8×C61—23no—
158C4×Q8×C61D411yescharacteristic
159C4×Q8×C61D411yescharacteristic
160C4×Q8×C61C2316yes—
161C4×Q8×C61C2313yes—
162C4×Q8×C61C2313yes—
163C4×D4×C61—23no—
164C4×D4×C61—23no—
165C4×D4×C61—23no—
166C4×D4×C61—26no—
167C4×D4×C61D413yes—
168C4×D4×C61D413yes—
169C4×D4×C61C2313yes—
170C4×D4×C61C2311yescharacteristic
171#117×C61—23no—
172#117×C61—26no—
173#117×C61—23no—
174#117×C61C2313yes—
175#117×C61C2313yes—
176C2×C4⋊C4×C61—23no—
177C2×C4⋊C4×C61—23no—
178C2×C4⋊C4×C61C2313yes—
179C2×C42×C61—23no—
180C2×C42×C61—23no—
181C2×C42×C61C2313yes—
182C23×D61—23no—
183#41×C61—224no—
184#41×C61—26no—
185#41×C61C2×D4112yes—
186#41×C61C2×D414yes—
187#41×C61#4114yes—
188C2×Q8×C61—28no—
189C2×Q8×C61—23no—
190C2×Q8×C61—26no—
191C2×Q8×C61C2×D4112yes—
192C2×Q8×C61C2×D411yescharacteristic
193C2×Q8×C61C2413yes—
194C2×D4×C61—23no—
195C2×D4×C61C2×D413yes—
196C2×D4×C61C2411yescharacteristic
197C22×C4×C61—23no—
198C22×C4×C61—23no—
199C22×C4×C61—23no—
200C22×C4×C61—21no—
201C22×C4×C61—23no—
202C22×C4×C61C2×D413yes—
203C22×C4×C61C2×D413yes—
204C22×C4×C61C2413yes—
205C2×C22⋊D61—23no—
206C2×C22⋊D61—23no—
207C22×Dic61—23no—
208#11758226—44no—
209Q8×D61—44no—
210#11758224—412no—
211D4×D61—412no—
212#11758222—26no—
213#11758222—26no—
214#11758222—26no—
215#11758222—26no—
216C2×D244—26no—
217C2×D244—26no—
218C2×D244—23no—
219C2×D244—23no—
220C2×D244—23no—
221C2×D244C2413yes—
222C2×D244C2411yescharacteristic
223C2×C4×D61—23no—
224C2×C4×D61—23no—
225C2×Dic122—26no—
226C2×Dic122—26no—
227C2×Dic122—23no—
228C2×Dic122C2413yes—
229C2×Dic122C2411yescharacteristic
230C4⋊C4×C61—26no—
231C4⋊C4×C61—23no—
232C4⋊C4×C61—23no—
233C4⋊C4×C61—23no—
234C4⋊C4×C61C2×D413yes—
235C4⋊C4×C61C2×D413yes—
236C4⋊C4×C61C2413yes—
237C4⋊C4×C61C2411yescharacteristic
238C22⋊C4×C61—23no—
239C22⋊C4×C61—21no—
240C22⋊C4×C61—23no—
241C22⋊C4×C61C2×D416yes—
242C42×C61—23no—
243C42×C61—23no—
244C42×C61—26no—
245C42×C61—23no—
246C42×C61C2×D413yes—
247C42×C61C2×D413yes—
248C42×C61C2411yescharacteristic
249C42×C61C2413yes—
250#11758202—26no—
251#11758202—212no—
252#11758202—26no—
253#11758201—26no—
254#11758201—212no—
255#11758201—26no—
256#11758200—22no—
257#11758200—26no—
258#11758199—22no—
259#11758199—26no—
260#11758198—23no—
261#11758198—23no—
262#11758198—26no—
263#11758198—26no—
264#11758198—21no—
265#11758198—21no—
266C4⋊Dic61—23no—
267C4⋊Dic61—23no—
268#11758194—26no—
269#11758194—26no—
270C2×#92418—26no—
271C2×#92418—26no—
272C2×#92418C2411yescharacteristic
273C2×#92418C2413yes—
274C2×#92418C2411yescharacteristic
275C2×#92418C2413yes—
276C23×C61—21no—
277C23×C61C22×D413yes—
278C22×D61—23no—
279C22×D61—21no—
280C22×D61—46no—
281C22×D61—83no—
282C22×D61—83no—
283Q8×C61—212no—
284Q8×C61—23no—
285Q8×C61#12114yes—
286Q8×C61C22×D416yes—
287D4×C61—212no—
288D4×C61—21no—
289D4×C61#121112yes—
290D4×C61C22×D412yes—
291C2×C4×C61—212no—
292C2×C4×C61—23no—
293C2×C4×C61—212no—
294C2×C4×C61—21no—
295C2×C4×C61—23no—
296C2×C4×C61—43no—
297C2×C4×C61—43no—
298C2×C4×C61—42no—
299C2×C4×C61—83no—
300C2×C4×C61—83no—
301C2×C4×C61C22×D413yes—
302C2×C4×C61C22×D413yes—
303C2×C4×C61C22×D411yescharacteristic
304C2×C4×C61C22×D411yescharacteristic
305C2×C4×C61C22×D413yes—
306C2×C4×C61C22×D416yes—
307C2×C4×C61C2×#4116yes—
308C2×C4×C61C2511yescharacteristic
309C22⋊D61—46no—
310C22⋊D61—46no—
311C2×Dic61—21no—
312C2×Dic61—23no—
313C2×Dic61—46no—
314D244—23no—
315D244—21no—
316D244—23no—
317D244—21no—
318D244—46no—
319D244—83no—
320D244—83no—
321C4×D61—46no—
322C4×D61—46no—
323Dic122—23no—
324Dic122—21no—
325Dic122—23no—
326Dic122—21no—
327Dic122—46no—
328#92418—21no—
329#92418—21no—
330#92418—23no—
331#92418—23no—
332#60433—611nomaximal, Sylow
333C22×C61—23no—
334C22×C61—23no—
335C22×C61—22no—
336C22×C61—41no—
337C22×C61—41no—
338C22×C61C2×#12116yes—
339C22×C61C23×D411yescharacteristic
340C2×D61—41no—
341C2×D61—43no—
342C2×D61—41no—
343C2×D61—43no—
344C2×D61—41no—
345C2×D61—43no—
346C2×D61—166no—
347C4×C61—23no—
348C4×C61—21no—
349C4×C61—23no—
350C4×C61—21no—
351C4×C61—26no—
352C4×C61—43no—
353C4×C61—41no—
354C4×C61C2×#12116yes—
355C4×C61C23×D411yescharacteristic
356C4×C61C22×#4111yescharacteristic
357Dic61—43no—
358Dic61—41no—
359C2×#578—611no—
360C2×#577—611no—
361#3500—611no—
362C4×2−1+4D6111yescharacteristic, complemented
363#3046—613no—
364#3045—613no—
365#3044—613no—
366#3043—613no—
367#3040—613no—
368#3037—613no—
369#3035—613no—
370C2×#464—613no—
371#2906—611no—
372#2898—611no—
373#2897—611no—
374C2×C61—26no—
375C2×C61—42no—
376C2×C61C22×#12111yescharacteristic
377C2×C61#358411yescharacteristic
378C2×C61#358611yescharacteristic
379D61—81no—
380D61—83no—
381C2×2−1+4—611no—
382C2×2−1+4C2×D6111yescharacteristic
383C2×H(5,𝔽2)—611no—
384#578—1228no—
385#577—1228no—
386C2×#137—613no—
387C2×#137—613no—
388C2×#137—613no—
389C2×AGL(1,ℤ/8)—613no—
390C2×#135—613no—
391C2×#135—613no—
392C22×Q16—613no—
393C22×SD16—613no—
394C2×#131—611no—
395C2×#131—611no—
396#548—1221no—
397#548—1221no—
398#546—1223no—
399#546—1223no—
400#536—613no—
401#535—613no—
402#532—613no—
403C2×#124—613no—
404#520—23no—
405#520C2×D6111yescharacteristic
406#520C2×D6113yescomplemented
407#519—21no—
408#519C2×D6113yescomplemented
409C4×#41—23no—
410C4×#41C2×D6111yescharacteristic
411C4×#41C2×D6113yescomplemented
412C2×C4×Q8—21no—
413C2×C4×Q8C2×D6113yescomplemented
414#464—613no—
415#464—616no—
416#464—616no—
417#464—616no—
418#464—613no—
419#464—616no—
420#463—611no—
421#463—613no—
422#463—616no—
423#462—613no—
424#462—616no—
425#461—613no—
426#460—613no—
427#460—616no—
428#459—613no—
429#424—613no—
430#424—613no—
431#423—613no—
432C2×C4⋊C8—613no—
433#419—613no—
434#418—613no—
435#417—613no—
436#417—613no—
437#416—613no—
438#416—613no—
439C2×#103—613no—
440C2×#102—613no—
441C61#6043311yescharacteristic, complemented, Sylow
4422−1+4—24no—
4432−1+4—1224no—
4442−1+4—1224no—
4452−1+4D24418yescomplemented
446H(5,𝔽2)—1224no—
447H(5,𝔽2)—1224no—
448C2×#41—23no—
449C2×#41—613no—
450C2×#41—613no—
451C2×#41—1221no—
452C2×#41—1223no—
453C2×#41C22×D6113yes—
454C2×#41C22×D6111yescharacteristic
455C22×Q8—21no—
456C22×Q8—613no—
457C22×Q8—1221no—
458C22×Q8C22×D6113yes—
459C22×D4—613no—
460C22×D4—1223no—
461#137—12212no—
462#137—12212no—
463#137—12212no—
464AGL(1,ℤ/8)—12212no—
465#135—12212no—
466#135—12212no—
467C2×Q16—613no—
468C2×Q16—616no—
469C2×Q16—613no—
470C2×Q16—12212no—
471C2×SD16—613no—
472C2×SD16—616no—
473C2×SD16—613no—
474C2×SD16—611no—
475C2×SD16—613no—
476C2×SD16—12212no—
477C2×D8—611no—
478C2×D8—613no—
479#131—1224no—
480#131—1224no—
481C2×M16—613no—
482C2×M16—613no—
483C22×C8—613no—
484C22×C8—613no—
485C4⋊Q8—613no—
486#127—613no—
487#124—613no—
488#124—616no—
489#124—611no—
490#124—1223no—
491#124—1223no—
492#123—1226no—
493C22⋊Q8—1223no—
494C22⋊Q8—1223no—
495#121—1223no—
496#121—1223no—
497#121—1223no—
498#121—1223no—
499#120—1226no—
500C4×Q8—21no—
501C4×Q8—23no—
502C4×Q8—23no—
503C4×Q8—23no—
504C4×Q8—23no—
505C4×Q8C22⋊D6111yescharacteristic
506C4×Q8C22⋊D6111yescharacteristic
507C4×Q8C22×D6113yes—
508C4×Q8C22×D6116yes—
509C4×Q8C22×D6113yes—
510C4×D4—23no—
511C4×D4—23no—
512C4×D4—23no—
513C4×D4—26no—
514C4×D4—1223no—
515C4×D4—1223no—
516C4×D4C22⋊D6113yes—
517C4×D4C22⋊D6113yes—
518C4×D4C22×D6111yescharacteristic
519C4×D4C22×D6113yes—
520#117—23no—
521#117—26no—
522#117—23no—
523#117C22×D6113yes—
524#117C22×D6113yes—
525C2×C4⋊C4—23no—
526C2×C4⋊C4—23no—
527C2×C4⋊C4C22×D6113yes—
528C2×C22⋊C4—1223no—
529C2×C22⋊C4—1223no—
530C2×C42—23no—
531C2×C42—23no—
532C2×C42C22×D6113yes—
533C4⋊C8—611no—
534C4⋊C8—613no—
535C4⋊C8—613no—
536C4⋊C8—613no—
537C4⋊C8—616no—
538#103—613no—
539#103—616no—
540#103—611no—
541#103—613no—
542#103—613no—
543#102—613no—
544#102—616no—
545#102—611no—
546#102—613no—
547#102—613no—
548C24—1223no—
549#41—224no—
550#41—26no—
551#41—1226no—
552#41—1226no—
553#41—1226no—
554#41—1226no—
555#41—2444no—
556#41—24412no—
557#41C2×D244112yes—
558#41C2×D24414yes—
559#41#1175822214yes—
560C2×Q8—28no—
561C2×Q8—23no—
562C2×Q8—26no—
563C2×Q8—613no—
564C2×Q8—611no—
565C2×Q8—1223no—
566C2×Q8—1226no—
567C2×Q8—1226no—
568C2×Q8—2444no—
569C2×Q8C2×D244112yes—
570C2×Q8C2×C22⋊D6111yescharacteristic
571C2×Q8C23×D6113yes—
572C2×D4—23no—
573C2×D4—613no—
574C2×D4—611no—
575C2×D4—1223no—
576C2×D4—1223no—
577C2×D4—1223no—
578C2×D4—1223no—
579C2×D4—1223no—
580C2×D4—1226no—
581C2×D4—1226no—
582C2×D4—24412no—
583C2×D4C2×C22⋊D6113yes—
584C2×D4C23×D6111yescharacteristic
585C22×C4—23no—
586C22×C4—23no—
587C22×C4—23no—
588C22×C4—21no—
589C22×C4—23no—
590C22×C4—1223no—
591C22×C4—1223no—
592C22×C4—1223no—
593C22×C4C2×C22⋊D6113yes—
594C22×C4C2×C22⋊D6113yes—
595C22×C4C23×D6113yes—
596Q16—1226no—
597Q16—12212no—
598Q16—1226no—
599SD16—1226no—
600SD16—12212no—
601SD16—1226no—
602SD16—1222no—
603SD16—1226no—
604D8—1222no—
605D8—1226no—
606M16—1226no—
607M16—1226no—
608C2×C8—611no—
609C2×C8—613no—
610C2×C8—611no—
611C2×C8—613no—
612C2×C8—1226no—
613C2×C8—1226no—
614C4⋊C4—26no—
615C4⋊C4—23no—
616C4⋊C4—23no—
617C4⋊C4—23no—
618C4⋊C4—1223no—
619C4⋊C4—1223no—
620C4⋊C4C2×C22⋊D6113yes—
621C4⋊C4C2×C22⋊D6113yes—
622C4⋊C4C23×D6113yes—
623C4⋊C4C23×D6111yescharacteristic
624C22⋊C4—23no—
625C22⋊C4—21no—
626C22⋊C4—23no—
627C22⋊C4—1223no—
628C22⋊C4—1223no—
629C22⋊C4—1226no—
630C22⋊C4—1226no—
631C22⋊C4—1221no—
632C22⋊C4—1221no—
633C22⋊C4C2×C22⋊D6116yes—
634C42—23no—
635C42—23no—
636C42—26no—
637C42—23no—
638C42C2×C22⋊D6113yes—
639C42C2×C22⋊D6113yes—
640C42C23×D6111yescharacteristic
641C42C23×D6113yes—
642C23—21no—
643C23—1223no—
644C23—1221no—
645C23—4883no—
646C23—4883no—
647C23—2446no—
648C23C22×C22⋊D6113yes—
649Q8—212no—
650Q8—23no—
651Q8—1223no—
652Q8—1221no—
653Q8—1223no—
654Q8—1221no—
655Q8—2446no—
656Q8#1451975114yes—
657Q8C22×D24416yes—
658D4—212no—
659D4—21no—
660D4—1223no—
661D4—1221no—
662D4—1223no—
663D4—1221no—
664D4—4883no—
665D4—4883no—
666D4—2446no—
667D4—2446no—
668D4—2446no—
669D4#14519751112yes—
670D4C22×D24412yes—
671C2×C4—212no—
672C2×C4—23no—
673C2×C4—212no—
674C2×C4—21no—
675C2×C4—23no—
676C2×C4—43no—
677C2×C4—43no—
678C2×C4—42no—
679C2×C4—83no—
680C2×C4—83no—
681C2×C4—1223no—
682C2×C4—1221no—
683C2×C4—2446no—
684C2×C4—2446no—
685C2×C4—2446no—
686C2×C4C22×C22⋊D6111yescharacteristic
687C2×C4C22×C22⋊D6113yes—
688C2×C4C22×C22⋊D6113yes—
689C2×C4C22×C22⋊D6111yescharacteristic
690C2×C4C22×C22⋊D6113yes—
691C2×C4C22×D24416yes—
692C2×C4C2×#1175822216yes—
693C2×C4C24×D6111yescharacteristic
694C8—1221no—
695C8—1221no—
696C8—1223no—
697C8—1223no—
698C22—23no—
699C22—23no—
700C22—22no—
701C22—41no—
702C22—41no—
703C22—9766no—
704C22—2441no—
705C22—2443no—
706C22—2441no—
707C22—2443no—
708C22—2441no—
709C22—2443no—
710C22C2×#1451975116yes—
711C22C23×C22⋊D6111yescharacteristic
712C4—26no—
713C4—21no—
714C4—23no—
715C4—21no—
716C4—23no—
717C4—43no—
718C4—41no—
719C4—2441no—
720C4—2443no—
721C4C2×#1451975116yes—
722C4C23×D24411yescharacteristic
723C4C22×#1175822211yescharacteristic
724C2—26no—
725C2—42no—
726C2—4883no—
727C2—4881no—
728C2C22×#1451975111yescharacteristic
729C2#2146059011yescharacteristic
730C2#2146060611yescharacteristic
subgroupG/H
centerC22C23×C22⋊D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC4×2−1+4×C61C2
socleC22×C61C23×D4
hypercenterC4×2−1+4D61
hypocenterC61#60433
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×#41 ◁ C4×2−1+4

Complements

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

NH ≅ G/Ntype
1. C2×#16840577C2semidirect
2. C2×#16840570C2semidirect
3. #21459612C2semidirect
4. #21455369C2semidirect
5. #21455358C2semidirect
6. #21455349C2semidirect
7. #21455340C2semidirect
8. #21455313C2semidirect
9. #21455291C2semidirect
10. #21455274C2semidirect
11. C2×#16839984C2semidirect
12. #21454387C2semidirect
13. #21454349C2semidirect
14. #21454342C2semidirect
15. C4×2−1+4×C61C2semidirect
21. C2×#14519808C22semidirect
22. C2×#14519807C22semidirect
25. C2×#14519797C22semidirect
26. C22×#11758202C22semidirect
38. #16839984C22semidirect
39. #16839984C22semidirect
40. #16839984C22semidirect
41. #16839984C22semidirect
42. #16839984C22semidirect
43. #16839984C22semidirect
44. #16839977C22semidirect
45. #16839977C22semidirect
46. #16839977C22semidirect
47. #16839972C22semidirect
48. #16839972C22semidirect
49. #16839967C22semidirect
50. #16839962C22semidirect
51. #16839962C22semidirect
52. #16839957C22semidirect
53. #16839789C22semidirect
54. #16839789C22semidirect
55. #16839786C22semidirect
56. C2×C4⋊#92418C22semidirect
57. #16839770C22semidirect
60. #16839761C22semidirect
62. #16839756C22semidirect
63. C2×#14519700C22semidirect
68. C61×#520C22semidirect
70. C61×#519C22semidirect
73. C4×#41×C61C22semidirect
75. C2×C4×Q8×C61C22semidirect
147. 2−1+4×C61D4semidirect
362. C4×2−1+4D61semidirect
406. #520C2×D61semidirect
408. #519C2×D61semidirect
411. C4×#41C2×D61semidirect
413. C2×C4×Q8C2×D61semidirect
441. C61#60433semidirect
445. 2−1+4D244semidirect

Maximal subgroups

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

subgroupindex
C2×#168405772
C2×#168405702
#214596122
#214553692
#214553582
#214553492
#214553402
#214553132
#214552912
#214552742
C2×#168399842
#214543872
#214543492
#214543422
C4×2−1+4×C612
#6043361