Finite Group Databasebeta

← #11660847

Subgroups — #11660847

Order 768.

1922 conjugacy classes of subgroups.

The subgroup lattice has 692 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#85776C211yesmaximal, characteristic
2C3×#2973C211yesmaximal, characteristic, complemented
3C2×D4×C3⋊C8C211yesmaximal, characteristic, complemented
4#79487C214yesmaximal, complemented
5#79478C214yesmaximal, complemented
6#79463C214yesmaximal, complemented
7#79454C214yesmaximal, complemented
8#79341C212yesmaximal, complemented
9#79325C212yesmaximal, complemented
10#78635C212yesmaximal, complemented
11#78626C212yesmaximal, complemented
12#78602C212yesmaximal, complemented
13C2×#67⋊C8C212yesmaximal, complemented
14#60304—31nomaximal, Sylow
15C2×C3×C4×D4C2211yescharacteristic
16#5804C412yes—
17#5791C2212yes—
18C2×C4×#67C2212yes—
19C23×C3⋊C8C2211yescharacteristic
20C23×C3⋊C8C2211yescharacteristic, complemented
21C2×#907C2212yescomplemented
22C22×D3×C8C2212yescomplemented
23#5564C414yes—
24#5560C414yes—
25#5547C2214yes—
26#5538C2214yes—
27#5515C412yes—
28#5494C412yes—
29#5493C411yescharacteristic
30#5483C411yescharacteristic
31#5479C2212yes—
32C3×#435C2214yescomplemented
33C3×#435C2214yescomplemented
34C3×#432C2212yescomplemented
35C3×#407C2212yescomplemented
36C2×C3×C22⋊C8C2212yes—
37C2×#830C2211yescharacteristic
38C2×#830C2211yescharacteristic, complemented
39#5129C2212yescomplemented
40#5128C2214yescomplemented
41#5127C2214yescomplemented
42#5122C2212yescomplemented
43#5119C2212yescomplemented
44#5111C2214yescomplemented
45#5111C2214yescomplemented
46C2×(C2×D3)⋊C8C2212yescomplemented
47C2×Dic3⋊C8C2212yescomplemented
48C2×C8×Dic3C2212yescomplemented
49D4×C3⋊C8C2214yescomplemented
50D4×C3⋊C8C2214yescomplemented
51C2×C4⋊(C3⋊C8)C2211yescharacteristic, complemented
52C2×C4×C3⋊C8C2211yescharacteristic, complemented
53#4840C2214yescomplemented
54#4839C2214yescomplemented
55#4838C2212yescomplemented
56#4834C2212yescomplemented
57#4831C2212yescomplemented
58#4830C2212yescomplemented
59#4730C2214yescomplemented
60#4730C2214yescomplemented
61#4730C2214yescomplemented
62#4727C2214yescomplemented
63#4726C2214yescomplemented
64#67⋊C8C2214yescomplemented
65#67⋊C8C2214yescomplemented
66#67⋊C8C2214yescomplemented
67#67⋊C8C2214yescomplemented
68#67⋊C8C2214yescomplemented
69#4720C2214yescomplemented
70#4719C2214yescomplemented
71#4709C2214yescomplemented
72#4708C2214yescomplemented
73#4706C2214yescomplemented
74#4701C2214yescomplemented
75#3459—31no—
76#2992—34no—
77#2992—32no—
78#2976—34no—
79#2976—32no—
80#2973—32no—
81#2973D311yescharacteristic, complemented
82#2966—34no—
83#2966—32no—
84#2929—34no—
85#2929—32no—
86C2×C8×D4—32no—
87C2×C8×D4—31no—
88C22×C3×D4C2×C411yescharacteristic
89C23×C3×C4C2311yescharacteristic
90C23×C3×C4C2311yescharacteristic
91C22×#67C2×C412yes—
92C2×#235C2312yes—
93C22×C4×D3C2312yes—
94C2×C3×M16C2312yes—
95C2×C3×M16C2312yes—
96C22×C3×C8C2312yes—
97C22×C3×C8C2312yes—
98C3×C4×D4C2×C414yes—
99C3×C4×D4C2314yes—
100C2×C3×C4⋊C4C2×C411yescharacteristic
101C2×C3×C22⋊C4C2×C411yescharacteristic
102C2×C3×C22⋊C4C2×C411yescharacteristic
103C2×C3×C42C2311yescharacteristic
104#953C2×C414yes—
105C2×#217C2×C412yes—
106#939C2×C414yes—
107#939C2×C414yes—
108#937C2×C414yes—
109#935C2×C414yes—
110#930C2×C412yes—
111#930C2×C412yes—
112#930C2×C412yes—
113#929C2×C414yes—
114#929C2×C414yes—
115C4×#67C2×C414yes—
116C4×#67C2×C414yes—
117C4×#67C2314yes—
118C4×#67C2314yes—
119C4×#67C2314yes—
120C2×(C2×D3)⋊C4C2×C412yes—
121#926C2312yes—
122#924C2×C412yes—
123#924C2×C412yes—
124#924C2×C412yes—
125C2×Dic3⋊C4C2×C412yes—
126C2×C4×Dic3C2312yes—
127C22×C3⋊C8—42no—
128C22×C3⋊C8—42no—
129C22×C3⋊C8C2312yes—
130C22×C3⋊C8C2311yescharacteristic
131C22×C3⋊C8C2312yes—
132C22×C3⋊C8C2312yes—
133C22×C3⋊C8C2311yescharacteristic
134C22×C3⋊C8C2311yescharacteristic
135C22×C3⋊C8C2311yescharacteristic
136C22×C3⋊C8C2312yes—
137#907—44no—
138C2×ΓL(1,𝔽25)C2314yes—
139C2×ΓL(1,𝔽25)C2314yes—
140C2×D3×C8—44no—
141C2×D3×C8C2314yes—
142C2×D3×C8C2314yes—
143#898C2×C414yes—
144#896C2×C414yes—
145#894C2×C414yes—
146#889C2×C414yes—
147#886C2×C414yes—
148#885C2×C414yes—
149#884C2×C414yes—
150#883C2×C414yes—
151#882C2×C414yes—
152#879C2×C414yes—
153#878C2×C414yes—
154#878C2×C414yes—
155#876C2×C414yes—
156#875C2×C412yes—
157C4×D12C2312yes—
158#872C2314yes—
159#870C2×C412yes—
160C4×Dic6C2312yes—
161C3×C4⋊C8C2312yes—
162C3×C4⋊C8C2312yes—
163C3×C22⋊C8C2314yes—
164C3×C22⋊C8C2314yes—
165C3×C22⋊C8C2314yes—
166C3×#97C2314yes—
167#830C2314yes—
168#830C2314yes—
169(C2×D3)⋊C8C2314yes—
170(C2×D3)⋊C8C2314yes—
171(C2×D3)⋊C8C2314yes—
172(C2×D3)⋊C8C2314yes—
173#815C2314yes—
174#815C2314yes—
175Dic3⋊C8C2314yes—
176Dic3⋊C8C2314yes—
177Dic3⋊C8C2314yes—
178Dic3⋊C8C2314yes—
179C8×Dic3C2314yes—
180C8×Dic3C2314yes—
181C4⋊(C3⋊C8)C2314yes—
182C4×C3⋊C8C2312yes—
183C4×C3⋊C8C2312yes—
184C2×#131—32no—
185C23×C8—31no—
186C23×C8—31no—
187C23×C8—32no—
188#543—31no—
189#539—34no—
190#539—32no—
191#538—34no—
192#538—32no—
193#534—32no—
194#534—31no—
195#529—34no—
196#529—32no—
197#525—32no—
198#525—34no—
199C2×C4×D4—32no—
200C2×C4×D4C2×D311yescharacteristic
201#446—32no—
202#446—34no—
203C8×Q8—32no—
204#436—34no—
205#436—32no—
206#435—34no—
207#435—34no—
208#435—34no—
209#435—34no—
210#435—34no—
211#435—34no—
212#435—34no—
213#435C2×D314yescomplemented
214#435C2×D314yescomplemented
215C8×D4—34no—
216C8×D4—34no—
217C8×D4—32no—
218C8×D4—34no—
219C8×D4—34no—
220C8×D4—34no—
221C8×D4—34no—
222C8×D4—34no—
223#433—34no—
224#433—34no—
225#433—34no—
226#432—34no—
227#432C2×D312yescomplemented
228#424—32no—
229#424—34no—
230C2×C4⋊C8—32no—
231C2×C4⋊C8—31no—
232#408—32no—
233#408—34no—
234#407—34no—
235#407C2×D312yescomplemented
236C2×C22⋊C8—31no—
237C2×C22⋊C8—31no—
238C2×C22⋊C8—32no—
239C2×C22⋊C8C2×D312yes—
240#405—32no—
241#405—34no—
242C2×C4×C8—32no—
243C2×C4×C8—31no—
244C24×C3C22×C411yescharacteristic
245C24×C3C22×C411yescharacteristic
246C23×D3C22×C412yes—
247C2×C3×D4—24no—
248C2×C3×D4C22×C414yes—
249C22×C3×C4—41no—
250C22×C3×C4—41no—
251C22×C3×C4—41no—
252C22×C3×C4—41no—
253C22×C3×C4C22×C411yescharacteristic
254C22×C3×C4C22×C412yes—
255C22×C3×C4C22×C411yescharacteristic
256C22×C3×C4C22×C411yescharacteristic
257C22×C3×C4C22×C412yes—
258C22×C3×C4C22×C411yescharacteristic
259C22×C3×C4C2412yes—
260C22×C3×C4C2412yes—
261C22×C3×C4C2411yescharacteristic
262C2×#67—28no—
263C2×#67C22×C414yes—
264C2×#67C22×C414yes—
265C2×#67C22×C414yes—
266C2×#67C22×C414yes—
267C22×Dic3C22×C412yes—
268C22×Dic3C22×C412yes—
269C22×Dic3C22×C412yes—
270#235—42no—
271#235—42no—
272C2×D12C22×C412yes—
273C2×D12C22×C412yes—
274C2×C4×D3—42no—
275C2×C4×D3—42no—
276C2×C4×D3C22×C414yes—
277C2×C4×D3C2414yes—
278C2×Dic6C22×C412yes—
279C2×Dic6C22×C412yes—
280C3×M16—42no—
281C3×M16—42no—
282C2×C3×C8—42no—
283C2×C3×C8—42no—
284C2×C3×C8C2414yes—
285C2×C3×C8C2414yes—
286C3×C4⋊C4C22×C414yes—
287C3×C22⋊C4C22×C414yes—
288C3×C22⋊C4C22×C414yes—
289C3×C42C22×C412yes—
290C3×C42C2412yes—
291#217C22×C414yes—
292#217C22×C414yes—
293#217C22×C414yes—
294#217C22×C414yes—
295(C2×D3)⋊C4C22×C414yes—
296(C2×D3)⋊C4C22×C414yes—
297(C2×D3)⋊C4C22×C414yes—
298(C2×D3)⋊C4C22×C414yes—
299(C2×D3)⋊C4C22×C414yes—
300(C2×D3)⋊C4C22×C414yes—
301C4⋊Dic3C22×C412yes—
302C4⋊Dic3C22×C412yes—
303C4⋊Dic3C22×C412yes—
304C4⋊Dic3C22×C412yes—
305Dic3⋊C4C22×C414yes—
306Dic3⋊C4C22×C414yes—
307Dic3⋊C4C22×C414yes—
308Dic3⋊C4C22×C414yes—
309Dic3⋊C4C22×C414yes—
310Dic3⋊C4C22×C414yes—
311C4×Dic3C22×C414yes—
312C4×Dic3C2414yes—
313C2×C3⋊C8—24no—
314C2×C3⋊C8—24no—
315C2×C3⋊C8—22no—
316C2×C3⋊C8—41no—
317C2×C3⋊C8—42no—
318C2×C3⋊C8—41no—
319C2×C3⋊C8—42no—
320C2×C3⋊C8—41no—
321C2×C3⋊C8C2411yescharacteristic
322C2×C3⋊C8C2412yes—
323C2×C3⋊C8C2412yes—
324C2×C3⋊C8C2412yes—
325C2×C3⋊C8C2411yescharacteristic
326ΓL(1,𝔽25)—44no—
327ΓL(1,𝔽25)—44no—
328D3×C8—28no—
329D3×C8—44no—
330C2×#41—32no—
331C22×D4—32no—
332C22×D4C4×D311yescharacteristic
333C23×C4—32no—
334C23×C4C22×D311yescharacteristic
335C23×C4C22×D311yescharacteristic
336#131—124no—
337C2×M16—34no—
338C2×M16—34no—
339C2×M16C22×D312yes—
340C2×M16C22×D312yes—
341C22×C8—32no—
342C22×C8—31no—
343C22×C8—32no—
344C22×C8—32no—
345C22×C8—31no—
346C22×C8—31no—
347C22×C8—32no—
348C22×C8—31no—
349C22×C8—34no—
350C22×C8—34no—
351C22×C8—124no—
352C22×C8—122no—
353C22×C8—122no—
354C22×C8C22×D312yes—
355C22×C8C22×D312yes—
356#126—34no—
357#126—34no—
358#126—34no—
359#125—34no—
360#125—32no—
361#124—34no—
362#124—32no—
363#123—34no—
364#123—34no—
365#123—34no—
366#123—34no—
367#123—34no—
368#123—34no—
369C22⋊Q8—32no—
370C22⋊Q8—32no—
371C22⋊Q8—32no—
372C22⋊Q8—34no—
373C22⋊Q8—34no—
374C22⋊Q8—34no—
375#121—34no—
376#121—34no—
377#121—32no—
378#121—32no—
379#121—32no—
380#121—34no—
381#120—34no—
382#120—34no—
383#120—34no—
384C4×Q8—32no—
385C4×D4—34no—
386C4×D4—34no—
387C4×D4—34no—
388C4×D4—34no—
389C4×D4—34no—
390C4×D4—32no—
391C4×D4C4×D314yes—
392C4×D4C22×D314yes—
393#117—32no—
394#117—34no—
395C2×C4⋊C4—32no—
396C2×C4⋊C4C4×D311yescharacteristic
397C2×C22⋊C4—32no—
398C2×C22⋊C4—32no—
399C2×C22⋊C4C4×D311yescharacteristic
400C2×C22⋊C4C4×D311yescharacteristic
401C2×C42—32no—
402C2×C42C22×D311yescharacteristic
403C4⋊C8—34no—
404C4⋊C8—34no—
405C4⋊C8—34no—
406C4⋊C8—34no—
407C4⋊C8—34no—
408C4⋊C8C22×D312yes—
409C4⋊C8C22×D312yes—
410C22⋊C8—34no—
411C22⋊C8—34no—
412C22⋊C8—34no—
413C22⋊C8—34no—
414C22⋊C8—34no—
415C22⋊C8—34no—
416C22⋊C8C22×D314yes—
417C22⋊C8C22×D314yes—
418C22⋊C8C22×D314yes—
419#97—34no—
420#97—34no—
421#97C22×D314yes—
422C4×C8—34no—
423C4×C8—34no—
424C4×C8—32no—
425C4×C8—32no—
426C23×C3—22no—
427C23×C3—41no—
428C23×C3—41no—
429C23×C3—41no—
430C23×C3—41no—
431C23×C3#13114yescomplemented
432C23×C3C23×C412yes—
433C23×C3C23×C411yescharacteristic
434C23×C3C23×C412yes—
435C22×D3—24no—
436C22×D3—42no—
437C22×D3—42no—
438C22×D3C23×C414yes—
439C3×D4—28no—
440C2×C3×C4—22no—
441C2×C3×C4—21no—
442C2×C3×C4—22no—
443C2×C3×C4—22no—
444C2×C3×C4—21no—
445C2×C3×C4—22no—
446C2×C3×C4—22no—
447C2×C3×C4—41no—
448C2×C3×C4—42no—
449C2×C3×C4—41no—
450C2×C3×C4—42no—
451C2×C3×C4—41no—
452C2×C3×C4C23×C412yes—
453C2×C3×C4C23×C411yescharacteristic
454C2×C3×C4C23×C412yes—
455C2×C3×C4C23×C412yes—
456C2×C3×C4C23×C412yes—
457C2×C3×C4C2511yescharacteristic
458#67—28no—
459#67—28no—
460#67—44no—
461#67—44no—
462C2×Dic3—24no—
463C2×Dic3—42no—
464C2×Dic3—42no—
465C2×Dic3C23×C414yes—
466C2×Dic3C23×C414yes—
467C2×Dic3C23×C414yes—
468D12—42no—
469D12—42no—
470C4×D3—24no—
471C4×D3—24no—
472C4×D3—44no—
473Dic6—42no—
474Dic6—42no—
475C3×C8—24no—
476C3×C8—24no—
477C3⋊C8—22no—
478C3⋊C8—22no—
479C3⋊C8—21no—
480C3⋊C8—22no—
481C3⋊C8H(5,𝔽2)12yes—
482C24—32no—
483C24C2×C4×D311yescharacteristic
484C24C2×C4×D311yescharacteristic
485#41—122no—
486#41—122no—
487C2×Q8—32no—
488C2×Q8—32no—
489C2×D4—24no—
490C2×D4—34no—
491C2×D4—34no—
492C2×D4—34no—
493C2×D4—34no—
494C2×D4—32no—
495C2×D4—32no—
496C2×D4—68no—
497C2×D4C2×C4×D314yes—
498C22×C4—32no—
499C22×C4—32no—
500C22×C4—32no—
501C22×C4—34no—
502C22×C4—34no—
503C22×C4—41no—
504C22×C4—41no—
505C22×C4—41no—
506C22×C4—41no—
507C22×C4—122no—
508C22×C4—122no—
509C22×C4C2×C4×D311yescharacteristic
510C22×C4C2×C4×D311yescharacteristic
511C22×C4C2×C4×D312yes—
512C22×C4C2×C4×D311yescharacteristic
513C22×C4C2×C4×D311yescharacteristic
514C22×C4C2×C4×D312yes—
515C22×C4C23×D312yes—
516C22×C4C23×D312yes—
517C22×C4C23×D311yescharacteristic
518M16—42no—
519M16—42no—
520M16—124no—
521M16—124no—
522C2×C8—31no—
523C2×C8—32no—
524C2×C8—32no—
525C2×C8—31no—
526C2×C8—32no—
527C2×C8—42no—
528C2×C8—42no—
529C2×C8—68no—
530C2×C8—64no—
531C2×C8—62no—
532C2×C8—64no—
533C2×C8—124no—
534C2×C8—122no—
535C2×C8—121no—
536C2×C8—122no—
537C2×C8—121no—
538C2×C8—121no—
539C2×C8C23×D314yes—
540C2×C8C23×D314yes—
541C4⋊C4—34no—
542C4⋊C4—34no—
543C4⋊C4—34no—
544C4⋊C4—32no—
545C4⋊C4—34no—
546C4⋊C4—32no—
547C4⋊C4—34no—
548C4⋊C4—32no—
549C4⋊C4—34no—
550C4⋊C4—32no—
551C4⋊C4C2×C4×D314yes—
552C22⋊C4—34no—
553C22⋊C4—34no—
554C22⋊C4—34no—
555C22⋊C4—34no—
556C22⋊C4—34no—
557C22⋊C4—34no—
558C22⋊C4—34no—
559C22⋊C4—34no—
560C22⋊C4—34no—
561C22⋊C4—34no—
562C22⋊C4C2×C4×D314yes—
563C22⋊C4C2×C4×D314yes—
564C42—34no—
565C42—34no—
566C42C2×C4×D312yes—
567C42C23×D312yes—
568C22×C3—22no—
569C22×C3—21no—
570C22×C3—22no—
571C22×C3—21no—
572C22×C3—22no—
573C22×C3—22no—
574C22×C3—22no—
575C22×C3—44no—
576C22×C3—44no—
577C22×C3C2×#13114yes—
578C22×C3C2×#13112yes—
579C22×C3C24×C411yescharacteristic
580C2×D3—24no—
581C2×D3—24no—
582C2×D3—24no—
583C2×D3—48no—
584C3×C4—22no—
585C3×C4—22no—
586C3×C4—21no—
587C3×C4—22no—
588C3×C4—22no—
589C3×C4C2×H(5,𝔽2)11yescharacteristic
590C3×C4#58511yescharacteristic
591Dic3—24no—
592Dic3—24no—
593Dic3—24no—
594C23—22no—
595C23—34no—
596C23—41no—
597C23—41no—
598C23—41no—
599C23—41no—
600C23—64no—
601C23—122no—
602C23—122no—
603C23#90714yescomplemented
604C23C22×C4×D312yes—
605C23C22×C4×D311yescharacteristic
606C23C22×C4×D312yes—
607Q8—122no—
608Q8—122no—
609D4—28no—
610D4—68no—
611D4—68no—
612D4—122no—
613D4—122no—
614D4—124no—
615D4—124no—
616C2×C4—22no—
617C2×C4—22no—
618C2×C4—21no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—21no—
622C2×C4—22no—
623C2×C4—34no—
624C2×C4—34no—
625C2×C4—34no—
626C2×C4—42no—
627C2×C4—42no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—64no—
632C2×C4—64no—
633C2×C4—64no—
634C2×C4—124no—
635C2×C4—122no—
636C2×C4—122no—
637C2×C4C22×C4×D312yes—
638C2×C4C22×C4×D311yescharacteristic
639C2×C4C22×C4×D312yes—
640C2×C4C22×C4×D312yes—
641C2×C4C22×C4×D312yes—
642C2×C4C24×D311yescharacteristic
643C8—24no—
644C8—24no—
645C8—32no—
646C8—62no—
647C8—61no—
648C8—62no—
649C8—62no—
650C2×C3—24no—
651C2×C3—22no—
652C2×C3—42no—
653C2×C3C4×H(5,𝔽2)11yescharacteristic
654C2×C3C22×#13111yescharacteristic
655C2×C3#357311yescharacteristic
656D3—44no—
657C22—21no—
658C22—22no—
659C22—21no—
660C22—22no—
661C22—22no—
662C22—22no—
663C22—22no—
664C22—44no—
665C22—44no—
666C22—64no—
667C22—64no—
668C22—64no—
669C22—128no—
670C22C2×#90712yes—
671C22C2×#90714yes—
672C22C23×C4×D311yescharacteristic
673C4—21no—
674C4—22no—
675C4—22no—
676C4—22no—
677C4—22no—
678C4—64no—
679C4—64no—
680C4—64no—
681C4D3×H(5,𝔽2)11yescharacteristic
682C4#596611yescharacteristic
683C3#6030411yescharacteristic, complemented, Sylow
684C2—22no—
685C2—24no—
686C2—42no—
687C2—124no—
688C2#8585711yescharacteristic
689C2C22×#90711yescharacteristic
690C2#8716611yescharacteristic
subgroupG/H
center, FrattiniC2×C4C24×D3
commutator, socleC22×C3C24×C4
FittingC3×#2973C2
prime radical#85776C2
cosocleC2×C3×C4C25
hypercenter#2973D3
hypocenterC3#60304
LCSG ▷ C22×C3 ▷ C3
UCSC1 ◁ C2×C4 ◁ #2973

Complements

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

NH ≅ G/Ntype
2. C3×#2973C2semidirect
3. C2×D4×C3⋊C8C2semidirect
4. #79487C2semidirect
5. #79478C2semidirect
6. #79463C2semidirect
7. #79454C2semidirect
8. #79341C2semidirect
9. #79325C2semidirect
10. #78635C2semidirect
11. #78626C2semidirect
12. #78602C2semidirect
13. C2×#67⋊C8C2semidirect
20. C23×C3⋊C8C22semidirect
21. C2×#907C22semidirect
22. C22×D3×C8C22semidirect
32. C3×#435C22semidirect
33. C3×#435C22semidirect
34. C3×#432C22semidirect
35. C3×#407C22semidirect
38. C2×#830C22semidirect
39. #5129C22semidirect
40. #5128C22semidirect
41. #5127C22semidirect
42. #5122C22semidirect
43. #5119C22semidirect
44. #5111C22semidirect
45. #5111C22semidirect
46. C2×(C2×D3)⋊C8C22semidirect
47. C2×Dic3⋊C8C22semidirect
48. C2×C8×Dic3C22semidirect
49. D4×C3⋊C8C22semidirect
50. D4×C3⋊C8C22semidirect
51. C2×C4⋊(C3⋊C8)C22semidirect
52. C2×C4×C3⋊C8C22semidirect
53. #4840C22semidirect
54. #4839C22semidirect
55. #4838C22semidirect
56. #4834C22semidirect
57. #4831C22semidirect
58. #4830C22semidirect
59. #4730C22semidirect
60. #4730C22semidirect
61. #4730C22semidirect
62. #4727C22semidirect
63. #4726C22semidirect
64. #67⋊C8C22semidirect
65. #67⋊C8C22semidirect
66. #67⋊C8C22semidirect
67. #67⋊C8C22semidirect
68. #67⋊C8C22semidirect
69. #4720C22semidirect
70. #4719C22semidirect
71. #4709C22semidirect
72. #4708C22semidirect
73. #4706C22semidirect
74. #4701C22semidirect
81. #2973D3semidirect
213. #435C2×D3semidirect
214. #435C2×D3semidirect
227. #432C2×D3semidirect
235. #407C2×D3semidirect
431. C23×C3#131semidirect
603. C23#907semidirect
683. C3#60304semidirect

Maximal subgroups

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

subgroupindex
#857762
C3×#29732
C2×D4×C3⋊C82
#794872
#794782
#794632
#794542
#793412
#793252
#786352
#786262
#786022
C2×#67⋊C82
#603043