Finite Group Databasebeta

← #163680

Subgroups — #163680

Order 512.

970 conjugacy classes of subgroups.

The subgroup lattice has 786 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#35007C211yesmaximal, characteristic
2#22788C211yesmaximal, characteristic, complemented
3#22002C211yesmaximal, characteristic, complemented
4#7726C211yesmaximal, characteristic, complemented
5#7719C211yesmaximal, characteristic, complemented
6#7706C211yesmaximal, characteristic, complemented
7#7704C211yesmaximal, characteristic, complemented
8#7699C211yesmaximal, characteristic, complemented
9#7694C211yesmaximal, characteristic, complemented
10#7684C211yesmaximal, characteristic, complemented
11#7674C211yesmaximal, characteristic, complemented
12#7647C211yesmaximal, characteristic, complemented
13#7640C211yesmaximal, characteristic, complemented
14#7616C211yesmaximal, characteristic, complemented
15#7606C211yesmaximal, characteristic, complemented
16C2×#538—21no—
17#2860C2211yescharacteristic
18#2858C2211yescharacteristic
19#2856C2211yescharacteristic
20#2854C2211yescharacteristic
21#2662—21no—
22#2661—21no—
23#2555—21no—
24#2554—21no—
25#2512C411yescharacteristic
26#2491C411yescharacteristic
27#2472—21no—
28#2445C411yescharacteristic
29#2440C411yescharacteristic
30#2433C411yescharacteristic
31#2428C411yescharacteristic
32#2424—21no—
33#2416C411yescharacteristic
34#2408C411yescharacteristic
35#2321—21no—
36C4×#121C2211yescharacteristic
37C2×#390C2211yescharacteristic
38C42×D4C2211yescharacteristic
39#1924—21no—
40#1924—21no—
41#1917—21no—
42#1916—21no—
43#1870—21no—
44#1870—21no—
45#1851—21no—
46#1839C2211yescharacteristic, complemented
47#1839C2211yescharacteristic, complemented
48#1831C2211yescharacteristic, complemented
49#1817C2211yescharacteristic
50#1817C2211yescharacteristic, complemented
51#1797C2211yescharacteristic
52#1797C2211yescharacteristic
53#1753—21no—
54#1749C2211yescharacteristic, complemented
55C4×C22⋊C8C2211yescharacteristic, complemented
56#1745C2211yescharacteristic, complemented
57#1728C2211yescharacteristic
58#1728C2211yescharacteristic, complemented
59#1271C2211yescharacteristic, complemented
60#1271C2211yescharacteristic, complemented
61#1271C2211yescharacteristic, complemented
62#1271C2211yescharacteristic, complemented
63#1270C2211yescharacteristic
64#1270C2211yescharacteristic
65#1270C2211yescharacteristic
66#1270C2211yescharacteristic
67#1270C2211yescharacteristic
68#1270C2211yescharacteristic
69#1270C2211yescharacteristic
70#1270C2211yescharacteristic
71#1270C2211yescharacteristic, complemented
72#1270C2211yescharacteristic, complemented
73#1270C2211yescharacteristic, complemented
74#1270C2211yescharacteristic, complemented
75C23×D4C2×C411yescharacteristic
76C22×M16—21no—
77C22×M16—21no—
78#538—44no—
79#538—44no—
80C2×C4⋊Q8C2×C411yescharacteristic
81C2×#127C2×C411yescharacteristic
82C2×#127C2×C411yescharacteristic
83C2×#126—21no—
84C2×#126—21no—
85C2×#124—21no—
86C2×#124—21no—
87C2×#124—21no—
88C2×#123—21no—
89C2×#123—21no—
90C2×C22⋊Q8—21no—
91C2×#121—21no—
92C2×#121—21no—
93C2×#121—21no—
94C2×#121—21no—
95C2×#121C2×C411yescharacteristic
96C2×#121C2×C411yescharacteristic
97C2×#121C2×C411yescharacteristic
98C2×#121C2×C411yescharacteristic
99C2×#120—21no—
100C2×#120—21no—
101C2×#120—21no—
102C2×C4×D4—21no—
103C2×C4×D4C2×C411yescharacteristic
104C2×C4×D4C2×C411yescharacteristic
105C2×C4×D4D411yescharacteristic
106C2×C4×D4D411yescharacteristic
107C22×C4⋊C4C2×C411yescharacteristic
108C22×C22⋊C4—21no—
109C22×C22⋊C4—21no—
110C22×C42C2311yescharacteristic
111C22×C42C2311yescharacteristic
112C2×C4⋊C8—21no—
113C2×C4⋊C8—21no—
114C2×C4⋊C8—21no—
115C2×C22⋊C8—21no—
116C2×C22⋊C8—21no—
117C2×C22⋊C8—21no—
118C2×C22⋊C8—21no—
119C2×C22⋊C8—21no—
120C2×C22⋊C8—21no—
121C2×#97—21no—
122C2×#97—21no—
123C2×C4×C8—21no—
124#398—21no—
125#397—21no—
126#396—21no—
127#396—21no—
128#395—21no—
129#394—21no—
130#394—21no—
131#394—21no—
132#394—21no—
133#394—21no—
134#394—21no—
135#393—21no—
136#392—21no—
137#392—21no—
138#392—21no—
139#392—21no—
140#390—21no—
141#390—21no—
142#390—21no—
143#390—21no—
144#390—21no—
145#390—21no—
146#390C2×C411yescharacteristic
147#390C2×C411yescharacteristic
148#390C2×C411yescharacteristic
149#390C2×C411yescharacteristic
150#390C2×C411yescharacteristic
151#390C2×C411yescharacteristic
152#390C2×C411yescharacteristic
153#390C2311yescharacteristic
154#390C2311yescharacteristic
155#390C2311yescharacteristic
156#389C2×C411yescharacteristic
157#389C2×C411yescharacteristic
158#389C2×C411yescharacteristic
159#389C2311yescharacteristic
160#388—21no—
161#388—21no—
162#388—21no—
163#388—21no—
164#388—21no—
165#388—21no—
166#388—21no—
167#388—21no—
168#386—21no—
169#386—21no—
170#386—21no—
171#386—21no—
172#386—21no—
173#385—21no—
174#384C2×C411yescharacteristic
175#380C2×C411yescharacteristic
176#380C2×C411yescharacteristic
177#379—21no—
178C4×C4⋊C4C2×C411yescharacteristic
179C4×C4⋊C4C2×C411yescharacteristic
180C4×C4⋊C4D411yescharacteristic
181C4×C4⋊C4D411yescharacteristic
182C4×C22⋊C4—21no—
183C4×C22⋊C4C2×C411yescharacteristic
184C4×C22⋊C4C2×C411yescharacteristic
185C4×C22⋊C4D411yescharacteristic
186C4×C22⋊C4D411yescharacteristic
187C4×C22⋊C4D411yescharacteristic
188C4×C22⋊C4D411yescharacteristic
189C43C2311yescharacteristic
190#336—21no—
191#336—21no—
192#336—21no—
193#336—21no—
194#336—21no—
195#336—21no—
196#336—21no—
197#336—21no—
198#336—21no—
199#336—21no—
200#336C2311yescharacteristic
201#336C2311yescharacteristic
202#336C2311yescharacteristic
203#336C2311yescharacteristic
204#336C2311yescharacteristic
205#336C2311yescharacteristic
206#336C2311yescharacteristic
207#336C2311yescharacteristic
208C25—21no—
209C22×Q8—21no—
210C22×D4—21no—
211C22×D4—21no—
212C22×D4—21no—
213C22×D4—21no—
214C22×D4—21no—
215C22×D4—21no—
216C22×D4—21no—
217C22×D4—21no—
218C22×D4—21no—
219C22×D4—42no—
220C22×D4—81no—
221C22×D4—81no—
222C22×D4C22⋊C411yescharacteristic
223C22×D4C22×C411yescharacteristic
224C22×D4C22×C411yescharacteristic
225C22×D4C22×C411yescharacteristic
226C23×C4—21no—
227C23×C4—21no—
228C23×C4C22×C411yescharacteristic
229C23×C4C22×C411yescharacteristic
230C23×C4C2×D411yescharacteristic
231C23×C4C2×D411yescharacteristic
232C23×C4C2×D411yescharacteristic
233C23×C4C2×D411yescharacteristic
234C2×M16—42no—
235C2×M16—42no—
236C2×M16—42no—
237C2×M16—81no—
238C2×M16—81no—
239C2×M16—81no—
240C22×C8—21no—
241C22×C8—21no—
242C22×C8—21no—
243C22×C8—21no—
244C22×C8—21no—
245C22×C8—21no—
246C22×C8—21no—
247C22×C8—21no—
248C4⋊Q8—81no—
249#127—81no—
250#127—81no—
251#126—42no—
252#126—42no—
253#126—44no—
254#124—42no—
255#124—42no—
256#124—44no—
257#124—81no—
258#124—81no—
259#123—44no—
260#123—42no—
261#123—42no—
262C22⋊Q8—44no—
263#121—44no—
264#121—42no—
265#121—42no—
266#121—42no—
267#121—44no—
268#121—81no—
269#121—81no—
270#121—81no—
271#121—81no—
272#121—81no—
273#120—44no—
274#120—44no—
275#120—44no—
276C4×D4—22no—
277C4×D4—22no—
278C4×D4—42no—
279C4×D4—42no—
280C4×D4—42no—
281C4×D4—42no—
282C4×D4—81no—
283C2×C4⋊C4—21no—
284C2×C4⋊C4—21no—
285C2×C4⋊C4—21no—
286C2×C4⋊C4—21no—
287C2×C4⋊C4—21no—
288C2×C4⋊C4—21no—
289C2×C4⋊C4—21no—
290C2×C4⋊C4—21no—
291C2×C4⋊C4—81no—
292C2×C4⋊C4C22⋊C411yescharacteristic
293C2×C4⋊C4C22⋊C411yescharacteristic
294C2×C4⋊C4C22⋊C411yescharacteristic
295C2×C4⋊C4C22×C411yescharacteristic
296C2×C4⋊C4C22×C411yescharacteristic
297C2×C4⋊C4C22×C411yescharacteristic
298C2×C4⋊C4C22×C411yescharacteristic
299C2×C4⋊C4C22×C411yescharacteristic
300C2×C22⋊C4—21no—
301C2×C22⋊C4—21no—
302C2×C22⋊C4—21no—
303C2×C22⋊C4—21no—
304C2×C22⋊C4—21no—
305C2×C22⋊C4—21no—
306C2×C22⋊C4—21no—
307C2×C22⋊C4—21no—
308C2×C22⋊C4—21no—
309C2×C22⋊C4—21no—
310C2×C22⋊C4—21no—
311C2×C22⋊C4—21no—
312C2×C22⋊C4—21no—
313C2×C22⋊C4—21no—
314C2×C22⋊C4—21no—
315C2×C22⋊C4—21no—
316C2×C22⋊C4—21no—
317C2×C22⋊C4—21no—
318C2×C22⋊C4—21no—
319C2×C22⋊C4—21no—
320C2×C22⋊C4—21no—
321C2×C22⋊C4—21no—
322C2×C22⋊C4—21no—
323C2×C22⋊C4—21no—
324C2×C22⋊C4—21no—
325C2×C22⋊C4—21no—
326C2×C22⋊C4—21no—
327C2×C22⋊C4—42no—
328C2×C22⋊C4—42no—
329C2×C22⋊C4—81no—
330C2×C22⋊C4—81no—
331C2×C22⋊C4C22⋊C411yescharacteristic
332C2×C22⋊C4C22⋊C411yescharacteristic
333C2×C22⋊C4C22⋊C411yescharacteristic
334C2×C22⋊C4C22⋊C411yescharacteristic
335C2×C22⋊C4C22⋊C411yescharacteristic
336C2×C22⋊C4C22⋊C411yescharacteristic
337C2×C42—21no—
338C2×C42—81no—
339C2×C42—81no—
340C2×C42C22×C411yescharacteristic
341C2×C42C22×C411yescharacteristic
342C2×C42C22×C411yescharacteristic
343C2×C42C22×C411yescharacteristic
344C2×C42C2×D411yescharacteristic
345C2×C42C2×D411yescharacteristic
346C2×C42C2×D411yescharacteristic
347C2×C42C2×D411yescharacteristic
348C2×C42C2×D411yescharacteristic
349C2×C42C2×D411yescharacteristic
350C2×C42C2×D411yescharacteristic
351C2×C42C2×D411yescharacteristic
352C2×C42C2411yescharacteristic
353C4⋊C8—81no—
354C4⋊C8—81no—
355C4⋊C8—81no—
356C22⋊C8—42no—
357C22⋊C8—42no—
358C22⋊C8—42no—
359C22⋊C8—81no—
360C22⋊C8—81no—
361C22⋊C8—81no—
362#97—42no—
363#97—81no—
364C4×C8—81no—
365#95—21no—
366#95—21no—
367#95—21no—
368#95—21no—
369#95—21no—
370#95—21no—
371#95—21no—
372#95C22⋊C411yescharacteristic
373#95C22⋊C411yescharacteristic
374#95C22⋊C411yescharacteristic
375#95C22⋊C411yescharacteristic
376#95C22⋊C411yescharacteristic
377#95C22⋊C411yescharacteristic
378C24—21no—
379C24—21no—
380C24—21no—
381C24—42no—
382C24—42no—
383C24—42no—
384C24—81no—
385C24—81no—
386C24—81no—
387C24—81no—
388C24C2×C22⋊C411yescharacteristic
389C24C2×C22⋊C411yescharacteristic
390C2×Q8—42no—
391C2×Q8—81no—
392C2×Q8—81no—
393C2×D4—22no—
394C2×D4—22no—
395C2×D4—22no—
396C2×D4—22no—
397C2×D4—41no—
398C2×D4—41no—
399C2×D4—41no—
400C2×D4—41no—
401C2×D4—41no—
402C2×D4—41no—
403C2×D4—41no—
404C2×D4—41no—
405C2×D4—42no—
406C2×D4—42no—
407C2×D4—42no—
408C2×D4—42no—
409C2×D4—42no—
410C2×D4—42no—
411C2×D4—42no—
412C2×D4—42no—
413C2×D4—42no—
414C2×D4—42no—
415C2×D4—42no—
416C2×D4—81no—
417C2×D4—81no—
418C2×D4—81no—
419C2×D4—81no—
420C2×D4—81no—
421C2×D4—81no—
422C2×D4—81no—
423C2×D4—81no—
424C2×D4—81no—
425C2×D4—81no—
426C2×D4—88no—
427C2×D4—81no—
428C2×D4—81no—
429C2×D4—81no—
430C2×D4—81no—
431C2×D4—81no—
432C2×D4—81no—
433C22×C4—22no—
434C22×C4—21no—
435C22×C4—21no—
436C22×C4—22no—
437C22×C4—22no—
438C22×C4—21no—
439C22×C4—21no—
440C22×C4—21no—
441C22×C4—21no—
442C22×C4—21no—
443C22×C4—21no—
444C22×C4—21no—
445C22×C4—21no—
446C22×C4—21no—
447C22×C4—41no—
448C22×C4—41no—
449C22×C4—41no—
450C22×C4—41no—
451C22×C4—41no—
452C22×C4—41no—
453C22×C4—41no—
454C22×C4—41no—
455C22×C4—41no—
456C22×C4—41no—
457C22×C4—41no—
458C22×C4—42no—
459C22×C4—42no—
460C22×C4—81no—
461C22×C4—81no—
462C22×C4—81no—
463C22×C4—81no—
464C22×C4C2×C22⋊C411yescharacteristic
465C22×C4C2×C22⋊C411yescharacteristic
466C22×C4C2×C22⋊C411yescharacteristic
467C22×C4C2×C22⋊C411yescharacteristic
468C22×C4C2×C22⋊C411yescharacteristic
469C22×C4C2×C22⋊C411yescharacteristic
470C22×C4C2×C22⋊C411yescharacteristic
471C22×C4C2×C22⋊C411yescharacteristic
472C22×C4C2×C22⋊C411yescharacteristic
473C22×C4C2×C22⋊C411yescharacteristic
474C22×C4AGL(1,ℤ/8)12yes—
475C22×C4AGL(1,ℤ/8)12yes—
476C22×C4C23×C411yescharacteristic
477C22×C4C22×D411yescharacteristic
478C22×C4C22×D411yescharacteristic
479M16—84no—
480M16—84no—
481C2×C8—22no—
482C2×C8—41no—
483C2×C8—41no—
484C2×C8—41no—
485C2×C8—41no—
486C2×C8—41no—
487C2×C8—41no—
488C2×C8—41no—
489C2×C8—41no—
490C2×C8—41no—
491C2×C8—41no—
492C2×C8—41no—
493C2×C8—41no—
494C2×C8—41no—
495C2×C8—41no—
496C2×C8—41no—
497C2×C8—41no—
498C2×C8—41no—
499C2×C8—41no—
500C2×C8—41no—
501C2×C8—41no—
502C2×C8—41no—
503C2×C8—41no—
504C2×C8—41no—
505C4⋊C4—22no—
506C4⋊C4—22no—
507C4⋊C4—22no—
508C4⋊C4—41no—
509C4⋊C4—41no—
510C4⋊C4—41no—
511C4⋊C4—41no—
512C4⋊C4—41no—
513C4⋊C4—42no—
514C4⋊C4—42no—
515C4⋊C4—42no—
516C4⋊C4—42no—
517C4⋊C4—41no—
518C4⋊C4—41no—
519C4⋊C4—81no—
520C4⋊C4—81no—
521C4⋊C4—81no—
522C22⋊C4—22no—
523C22⋊C4—22no—
524C22⋊C4—22no—
525C22⋊C4—41no—
526C22⋊C4—41no—
527C22⋊C4—41no—
528C22⋊C4—42no—
529C22⋊C4—42no—
530C22⋊C4—42no—
531C22⋊C4—42no—
532C22⋊C4—42no—
533C22⋊C4—42no—
534C22⋊C4—42no—
535C22⋊C4—42no—
536C22⋊C4—42no—
537C22⋊C4—41no—
538C22⋊C4—41no—
539C22⋊C4—41no—
540C22⋊C4—41no—
541C22⋊C4—41no—
542C22⋊C4—41no—
543C22⋊C4—41no—
544C22⋊C4—41no—
545C22⋊C4—41no—
546C22⋊C4—41no—
547C22⋊C4—41no—
548C22⋊C4—41no—
549C22⋊C4—42no—
550C22⋊C4—42no—
551C22⋊C4—42no—
552C22⋊C4—81no—
553C22⋊C4—81no—
554C22⋊C4—81no—
555C22⋊C4—81no—
556C22⋊C4—81no—
557C22⋊C4—81no—
558C22⋊C4—81no—
559C22⋊C4—81no—
560C22⋊C4—81no—
561C42—22no—
562C42—21no—
563C42—21no—
564C42—21no—
565C42—21no—
566C42—41no—
567C42—41no—
568C42—41no—
569C42—41no—
570C42—41no—
571C42—41no—
572C42—41no—
573C42—41no—
574C42—41no—
575C42—41no—
576C42—42no—
577C23—21no—
578C23—21no—
579C23—21no—
580C23—21no—
581C23—21no—
582C23—21no—
583C23—21no—
584C23—21no—
585C23—21no—
586C23—21no—
587C23—21no—
588C23—21no—
589C23—21no—
590C23—41no—
591C23—41no—
592C23—41no—
593C23—41no—
594C23—41no—
595C23—41no—
596C23—41no—
597C23—41no—
598C23—41no—
599C23—41no—
600C23—41no—
601C23—41no—
602C23—41no—
603C23—41no—
604C23—41no—
605C23—41no—
606C23—41no—
607C23—41no—
608C23—41no—
609C23—41no—
610C23—41no—
611C23—84no—
612C23—84no—
613C23—84no—
614C23—162no—
615C23—162no—
616C23—162no—
617C23—162no—
618C23#41812yes—
619C23C22×C22⋊C411yescharacteristic
620Q8—162no—
621D4—44no—
622D4—82no—
623D4—82no—
624D4—82no—
625D4—84no—
626D4—84no—
627D4—162no—
628D4—162no—
629D4—162no—
630D4—162no—
631D4—162no—
632D4—162no—
633D4—162no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—21no—
645C2×C4—21no—
646C2×C4—21no—
647C2×C4—21no—
648C2×C4—21no—
649C2×C4—21no—
650C2×C4—21no—
651C2×C4—21no—
652C2×C4—21no—
653C2×C4—21no—
654C2×C4—21no—
655C2×C4—21no—
656C2×C4—21no—
657C2×C4—21no—
658C2×C4—21no—
659C2×C4—21no—
660C2×C4—21no—
661C2×C4—21no—
662C2×C4—21no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—21no—
666C2×C4—21no—
667C2×C4—21no—
668C2×C4—42no—
669C2×C4—42no—
670C2×C4—42no—
671C2×C4—42no—
672C2×C4—44no—
673C2×C4—41no—
674C2×C4—41no—
675C2×C4—41no—
676C2×C4—41no—
677C2×C4—41no—
678C2×C4—41no—
679C2×C4—41no—
680C2×C4—41no—
681C2×C4—41no—
682C2×C4—41no—
683C2×C4—41no—
684C2×C4—41no—
685C2×C4—41no—
686C2×C4—41no—
687C2×C4—41no—
688C2×C4—81no—
689C2×C4—81no—
690C2×C4—81no—
691C2×C4—81no—
692C2×C4—82no—
693C2×C4—162no—
694C2×C4—162no—
695C2×C4#41812yes—
696C2×C4#42112yes—
697C2×C4#56812yes—
698C2×C4C2×AGL(1,ℤ/8)11yescharacteristic
699C2×C4C2×AGL(1,ℤ/8)11yescharacteristic
700C2×C4#57611yescharacteristic
701C2×C4#57711yescharacteristic
702C8—42no—
703C8—81no—
704C8—81no—
705C8—81no—
706C8—81no—
707C8—81no—
708C8—81no—
709C8—81no—
710C22—22no—
711C22—22no—
712C22—22no—
713C22—41no—
714C22—41no—
715C22—41no—
716C22—41no—
717C22—41no—
718C22—41no—
719C22—41no—
720C22—41no—
721C22—41no—
722C22—41no—
723C22—41no—
724C22—81no—
725C22—81no—
726C22—81no—
727C22—81no—
728C22—81no—
729C22—81no—
730C22—81no—
731C22—81no—
732C22—81no—
733C22—81no—
734C22—81no—
735C22—81no—
736C22—81no—
737C22—81no—
738C22—81no—
739C22—81no—
740C22—81no—
741C22—81no—
742C22—81no—
743C22—81no—
744C22—81no—
745C22—168no—
746C22#287911yescharacteristic
747C22#288311yescharacteristic
748C22#288811yescharacteristic
749C22C2×#41811yescharacteristic
750C22#289711yescharacteristic
751C22C2×#42111yescharacteristic
752C22#290111yescharacteristic
753C4—21no—
754C4—21no—
755C4—22no—
756C4—21no—
757C4—21no—
758C4—22no—
759C4—22no—
760C4—41no—
761C4—41no—
762C4—41no—
763C4—41no—
764C4—41no—
765C4—41no—
766C4—41no—
767C4—41no—
768C4—81no—
769C4—81no—
770C4—81no—
771C4—81no—
772C4—81no—
773C2—42no—
774C2—81no—
775C2—161no—
776C2—161no—
777C2—161no—
778C2#1740511yescharacteristic
779C2#1749011yescharacteristic
780C2#1750511yescharacteristic
781C2#1759711yescharacteristic
782C2#1762011yescharacteristic
783C2#1768111yescharacteristic
784C2#1775811yescharacteristic
subgroupG/H
center, socleC23C22×C22⋊C4
commutatorC22×C4C23×C4
Frattini, cosocleC2×C42C24
prime radical#35007C2
LCSG ▷ C22×C4 ▷ C22 ▷ C1
UCSC1 ◁ C23 ◁ C42×D4 ◁ G
LECSG ▷ C2×C42 ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
2. #22788C2semidirect
3. #22002C2semidirect
4. #7726C2semidirect
5. #7719C2semidirect
6. #7706C2semidirect
7. #7704C2semidirect
8. #7699C2semidirect
9. #7694C2semidirect
10. #7684C2semidirect
11. #7674C2semidirect
12. #7647C2semidirect
13. #7640C2semidirect
14. #7616C2semidirect
15. #7606C2semidirect
46. #1839C22semidirect
47. #1839C22semidirect
48. #1831C22semidirect
50. #1817C22semidirect
54. #1749C22semidirect
55. C4×C22⋊C8C22semidirect
56. #1745C22semidirect
58. #1728C22semidirect
59. #1271C22semidirect
60. #1271C22semidirect
61. #1271C22semidirect
62. #1271C22semidirect
71. #1270C22semidirect
72. #1270C22semidirect
73. #1270C22semidirect
74. #1270C22semidirect

Maximal subgroups

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

subgroupindex
#350072
#227882
#220022
#77262
#77192
#77062
#77042
#76992
#76942
#76842
#76742
#76472
#76402
#76162
#76062