Finite Group Databasebeta

← #164941

Subgroups — #164941

Order 512.

988 conjugacy classes of subgroups.

The subgroup lattice has 766 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36262C211yesmaximal, characteristic
2#22835C211yesmaximal, characteristic, complemented
3#22698C211yesmaximal, characteristic, complemented
4#7732C211yesmaximal, characteristic, complemented
5#7728C211yesmaximal, characteristic, complemented
6#7686C211yesmaximal, characteristic, complemented
7#7685C211yesmaximal, characteristic, complemented
8#7658C211yesmaximal, characteristic, complemented
9#7654C211yesmaximal, characteristic, complemented
10#7647C211yesmaximal, characteristic, complemented
11#7614C211yesmaximal, characteristic, complemented
12#7606C211yesmaximal, characteristic, complemented
13#7574C211yesmaximal, characteristic, complemented
14#7572C211yesmaximal, characteristic, complemented
15#7565C211yesmaximal, characteristic, complemented
16C2×#551—21no—
17C2×#435—21no—
18#2860C2211yescharacteristic
19#2857C2211yescharacteristic
20#2854C2211yescharacteristic
21#2602—21no—
22#2601—21no—
23#2561—21no—
24#2560—21no—
25#2557—21no—
26#2534—21no—
27#2512C411yescharacteristic
28#2491C411yescharacteristic
29#2486C411yescharacteristic
30#2452C411yescharacteristic
31#2422C411yescharacteristic
32#2408C411yescharacteristic
33#2344C411yescharacteristic
34#2342—21no—
35D4×C22⋊C4C411yescharacteristic
36C4×#121C2211yescharacteristic
37#2293C2211yescharacteristic
38C2×#390C2211yescharacteristic
39C42×D4C2211yescharacteristic
40#1954—21no—
41#1940—21no—
42#1923—21no—
43#1923—21no—
44#1851—21no—
45#1850—21no—
46#1831C2211yescharacteristic, complemented
47#1831C2211yescharacteristic, complemented
48#1817C2211yescharacteristic
49#1817C2211yescharacteristic, complemented
50#1797C2211yescharacteristic
51#1797C2211yescharacteristic, complemented
52C8×C4⋊C4—21no—
53#1767C2211yescharacteristic, complemented
54C4×C4⋊C8C2211yescharacteristic, complemented
55C4×C22⋊C8C2211yescharacteristic
56C4×C22⋊C8C2211yescharacteristic, complemented
57#1728C2211yescharacteristic
58C2×#336C2211yescharacteristic, complemented
59#1271C2211yescharacteristic, complemented
60#1271C2211yescharacteristic, complemented
61#1271C2211yescharacteristic, complemented
62#1271C2211yescharacteristic, complemented
63#1271C2211yescharacteristic, complemented
64#1271C2211yescharacteristic, complemented
65#1271C2211yescharacteristic, complemented
66#1271C2211yescharacteristic, complemented
67#1270C2211yescharacteristic
68#1270C2211yescharacteristic
69#1270C2211yescharacteristic
70#1270C2211yescharacteristic
71#1270C2211yescharacteristic
72#1270C2211yescharacteristic
73#1270C2211yescharacteristic
74#1270C2211yescharacteristic
75C23×D4C2×C411yescharacteristic
76C22×M16—21no—
77C23×C8—21no—
78#551—44no—
79#551—44no—
80C2×C4⋊Q8C2×C411yescharacteristic
81C2×#126—21no—
82C2×#126—21no—
83C2×#124—21no—
84C2×#123—21no—
85C2×#123—21no—
86C2×#123—21no—
87C2×C22⋊Q8—21no—
88C2×C22⋊Q8—21no—
89C2×#121C2×C411yescharacteristic
90C2×#121C2×C411yescharacteristic
91C2×#120—21no—
92C2×C4×D4—21no—
93C2×C4×D4C2×C411yescharacteristic
94C2×C4×D4C2×C411yescharacteristic
95C2×C4×D4C2×C411yescharacteristic
96C2×C4×D4D411yescharacteristic
97C2×C4×D4D411yescharacteristic
98C2×#117—21no—
99C2×#117—21no—
100C22×C4⋊C4C2×C411yescharacteristic
101C22×C22⋊C4—21no—
102C22×C22⋊C4—21no—
103C22×C22⋊C4—21no—
104C22×C42C2311yescharacteristic
105C22×C42C2311yescharacteristic
106#435—44no—
107C2×C4⋊C8—21no—
108C2×C4⋊C8—21no—
109C2×C4⋊C8—21no—
110C2×C4⋊C8—21no—
111C2×C4⋊C8—21no—
112C2×C4⋊C8—21no—
113C2×C22⋊C8—21no—
114C2×C22⋊C8—21no—
115C2×C22⋊C8—21no—
116C2×C22⋊C8—21no—
117C2×C22⋊C8—21no—
118C2×C22⋊C8—21no—
119C2×#97—21no—
120C2×C4×C8—21no—
121C2×C4×C8—21no—
122C2×C4×C8—21no—
123#398—21no—
124#397—21no—
125#397—21no—
126#397—21no—
127#396—21no—
128#396—21no—
129#394—21no—
130#394—21no—
131#394—21no—
132#393—21no—
133#393—21no—
134#392—21no—
135#391—21no—
136#390—21no—
137#390—21no—
138#390C2×C411yescharacteristic
139#390C2×C411yescharacteristic
140#390C2×C411yescharacteristic
141#390C2×C411yescharacteristic
142#390C2×C411yescharacteristic
143#390C2×C411yescharacteristic
144#390C2311yescharacteristic
145#390C2311yescharacteristic
146#389—21no—
147#389C2×C411yescharacteristic
148#389C2×C411yescharacteristic
149#389C2×C411yescharacteristic
150#389C2×C411yescharacteristic
151#389C2311yescharacteristic
152#389C2311yescharacteristic
153#388—21no—
154#388—21no—
155#388—21no—
156#388—21no—
157#388—21no—
158#388—21no—
159#388—21no—
160#388—21no—
161#388—21no—
162#388—21no—
163#387—21no—
164#387—21no—
165#386—21no—
166#386—21no—
167#386—21no—
168#386—21no—
169#385—21no—
170#385—21no—
171#384C2×C411yescharacteristic
172#381—21no—
173#381—21no—
174#380—21no—
175#380C2×C411yescharacteristic
176#380C2×C411yescharacteristic
177#380C2×C411yescharacteristic
178#380C2×C411yescharacteristic
179#379—21no—
180#379—21no—
181C4×C4⋊C4C2×C411yescharacteristic
182C4×C4⋊C4C2×C411yescharacteristic
183C4×C4⋊C4C2×C411yescharacteristic
184C4×C4⋊C4D411yescharacteristic
185C4×C4⋊C4D411yescharacteristic
186C4×C22⋊C4—21no—
187C4×C22⋊C4—21no—
188C4×C22⋊C4C2×C411yescharacteristic
189C4×C22⋊C4C2×C411yescharacteristic
190C4×C22⋊C4D411yescharacteristic
191C4×C22⋊C4D411yescharacteristic
192C4×C22⋊C4D411yescharacteristic
193C4×C22⋊C4D411yescharacteristic
194C43C2311yescharacteristic
195#336—21no—
196#336—21no—
197#336—21no—
198#336—21no—
199#336—21no—
200#336—21no—
201#336C2311yescharacteristic
202#336C2311yescharacteristic
203#336C2311yescharacteristic
204#336C2311yescharacteristic
205#336C2311yescharacteristic
206#336C2311yescharacteristic
207#336C2311yescharacteristic
208#336C2311yescharacteristic
209C25—21no—
210C22×Q8—21no—
211C22×D4—22no—
212C22×D4—21no—
213C22×D4—21no—
214C22×D4—21no—
215C22×D4—41no—
216C22×D4—42no—
217C22×D4—81no—
218C22×D4C22⋊C411yescharacteristic
219C22×D4C22×C411yescharacteristic
220C22×D4C22×C411yescharacteristic
221C23×C4—21no—
222C23×C4—21no—
223C23×C4—21no—
224C23×C4C22×C411yescharacteristic
225C23×C4C22×C411yescharacteristic
226C23×C4C2×D411yescharacteristic
227C23×C4C2×D411yescharacteristic
228C23×C4C2×D411yescharacteristic
229C23×C4C2×D411yescharacteristic
230C2×M16—42no—
231C2×M16—42no—
232C2×M16—81no—
233C22×C8—21no—
234C22×C8—21no—
235C22×C8—21no—
236C22×C8—21no—
237C22×C8—21no—
238C22×C8—21no—
239C22×C8—21no—
240C22×C8—21no—
241C22×C8—42no—
242C22×C8—42no—
243C22×C8—81no—
244C4⋊Q8—81no—
245#126—44no—
246#126—42no—
247#126—42no—
248#124—44no—
249#123—44no—
250#123—42no—
251#123—42no—
252#123—44no—
253C22⋊Q8—42no—
254C22⋊Q8—42no—
255C22⋊Q8—44no—
256#121—22no—
257#121—41no—
258#121—81no—
259#120—44no—
260C4×D4—22no—
261C4×D4—41no—
262C4×D4—41no—
263C4×D4—41no—
264C4×D4—42no—
265C4×D4—42no—
266C4×D4—42no—
267C4×D4—81no—
268C4×D4D814yes—
269C4×D4SD1614yes—
270#117—44no—
271#117—42no—
272#117—42no—
273C2×C4⋊C4—21no—
274C2×C4⋊C4—21no—
275C2×C4⋊C4—21no—
276C2×C4⋊C4—21no—
277C2×C4⋊C4—21no—
278C2×C4⋊C4—21no—
279C2×C4⋊C4—21no—
280C2×C4⋊C4—21no—
281C2×C4⋊C4—21no—
282C2×C4⋊C4—21no—
283C2×C4⋊C4—42no—
284C2×C4⋊C4C22⋊C411yescharacteristic
285C2×C4⋊C4C22⋊C411yescharacteristic
286C2×C4⋊C4C22⋊C411yescharacteristic
287C2×C4⋊C4C22×C411yescharacteristic
288C2×C4⋊C4C22×C411yescharacteristic
289C2×C4⋊C4C22×C411yescharacteristic
290C2×C4⋊C4C22×C411yescharacteristic
291C2×C4⋊C4C22×C411yescharacteristic
292C2×C4⋊C4C22×C411yescharacteristic
293C2×C22⋊C4—21no—
294C2×C22⋊C4—21no—
295C2×C22⋊C4—21no—
296C2×C22⋊C4—21no—
297C2×C22⋊C4—21no—
298C2×C22⋊C4—21no—
299C2×C22⋊C4—21no—
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—42no—
318C2×C22⋊C4—42no—
319C2×C22⋊C4—42no—
320C2×C22⋊C4—42no—
321C2×C22⋊C4—44no—
322C2×C22⋊C4C22⋊C411yescharacteristic
323C2×C22⋊C4C22⋊C411yescharacteristic
324C2×C22⋊C4C22⋊C411yescharacteristic
325C2×C22⋊C4C22⋊C411yescharacteristic
326C2×C22⋊C4C22⋊C411yescharacteristic
327C2×C22⋊C4C22⋊C411yescharacteristic
328C2×C42—21no—
329C2×C42—21no—
330C2×C42—81no—
331C2×C42—81no—
332C2×C42C22×C411yescharacteristic
333C2×C42C22×C411yescharacteristic
334C2×C42C22×C411yescharacteristic
335C2×C42C22×C411yescharacteristic
336C2×C42C2×D411yescharacteristic
337C2×C42C2×D411yescharacteristic
338C2×C42C2×D411yescharacteristic
339C2×C42C2×D411yescharacteristic
340C2×C42C2×D411yescharacteristic
341C2×C42C2×D411yescharacteristic
342C2×C42C2×D411yescharacteristic
343C2×C42C2×D411yescharacteristic
344C2×C42C2411yescharacteristic
345C4⋊C8—42no—
346C4⋊C8—42no—
347C4⋊C8—42no—
348C4⋊C8—42no—
349C4⋊C8—81no—
350C4⋊C8—81no—
351C22⋊C8—42no—
352C22⋊C8—42no—
353C22⋊C8—42no—
354C22⋊C8—42no—
355C22⋊C8—81no—
356C22⋊C8—81no—
357#97—42no—
358C4×C8—42no—
359C4×C8—81no—
360C4×C8—81no—
361#95—21no—
362#95—21no—
363#95—21no—
364#95—21no—
365#95—21no—
366#95—21no—
367#95—21no—
368#95—21no—
369#95—21no—
370#95—21no—
371#95—21no—
372#95—21no—
373#95C22⋊C411yescharacteristic
374#95C22⋊C411yescharacteristic
375#95C22⋊C411yescharacteristic
376#95C22⋊C411yescharacteristic
377#95C22⋊C411yescharacteristic
378#95C22⋊C411yescharacteristic
379C24—21no—
380C24—21no—
381C24—42no—
382C24—42no—
383C24—42no—
384C24—42no—
385C24—81no—
386C24—81no—
387C24—81no—
388C24C2×C22⋊C411yescharacteristic
389C24C2×C22⋊C411yescharacteristic
390C2×Q8—42no—
391C2×Q8—81no—
392C2×Q8—81no—
393C2×D4—21no—
394C2×D4—21no—
395C2×D4—21no—
396C2×D4—41no—
397C2×D4—41no—
398C2×D4—41no—
399C2×D4—41no—
400C2×D4—42no—
401C2×D4—41no—
402C2×D4—41no—
403C2×D4—42no—
404C2×D4—42no—
405C2×D4—42no—
406C2×D4—42no—
407C2×D4—81no—
408C2×D4—84no—
409C2×D4—84no—
410C2×D4—81no—
411C2×D4—81no—
412C2×D4—81no—
413C2×D4#10214yes—
414C2×D4#13112yes—
415C22×C4—21no—
416C22×C4—21no—
417C22×C4—22no—
418C22×C4—21no—
419C22×C4—21no—
420C22×C4—21no—
421C22×C4—21no—
422C22×C4—21no—
423C22×C4—21no—
424C22×C4—21no—
425C22×C4—21no—
426C22×C4—21no—
427C22×C4—21no—
428C22×C4—21no—
429C22×C4—21no—
430C22×C4—41no—
431C22×C4—41no—
432C22×C4—41no—
433C22×C4—41no—
434C22×C4—41no—
435C22×C4—41no—
436C22×C4—41no—
437C22×C4—41no—
438C22×C4—41no—
439C22×C4—41no—
440C22×C4—41no—
441C22×C4—42no—
442C22×C4—42no—
443C22×C4—42no—
444C22×C4—42no—
445C22×C4—42no—
446C22×C4—42no—
447C22×C4—81no—
448C22×C4—81no—
449C22×C4—81no—
450C22×C4C2×C22⋊C411yescharacteristic
451C22×C4C2×C22⋊C411yescharacteristic
452C22×C4C2×C22⋊C411yescharacteristic
453C22×C4C2×C22⋊C411yescharacteristic
454C22×C4C2×C22⋊C411yescharacteristic
455C22×C4C2×C22⋊C411yescharacteristic
456C22×C4C2×C22⋊C411yescharacteristic
457C22×C4C2×C22⋊C411yescharacteristic
458C22×C4C2×C22⋊C411yescharacteristic
459C22×C4C2×C22⋊C411yescharacteristic
460C22×C4C2×D812yes—
461C22×C4C2×D812yes—
462C22×C4C2×SD1612yes—
463C22×C4C2×SD1612yes—
464C22×C4C23×C411yescharacteristic
465C22×C4C22×D411yescharacteristic
466C22×C4C22×D411yescharacteristic
467M16—84no—
468C2×C8—22no—
469C2×C8—22no—
470C2×C8—41no—
471C2×C8—41no—
472C2×C8—41no—
473C2×C8—41no—
474C2×C8—41no—
475C2×C8—41no—
476C2×C8—41no—
477C2×C8—41no—
478C2×C8—41no—
479C2×C8—41no—
480C2×C8—41no—
481C2×C8—41no—
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—84no—
493C4⋊C4—22no—
494C4⋊C4—21no—
495C4⋊C4—21no—
496C4⋊C4—21no—
497C4⋊C4—21no—
498C4⋊C4—41no—
499C4⋊C4—41no—
500C4⋊C4—41no—
501C4⋊C4—41no—
502C4⋊C4—41no—
503C4⋊C4—41no—
504C4⋊C4—41no—
505C4⋊C4—41no—
506C4⋊C4—41no—
507C4⋊C4—42no—
508C4⋊C4—42no—
509C4⋊C4—42no—
510C4⋊C4—42no—
511C4⋊C4—42no—
512C4⋊C4—42no—
513C4⋊C4—81no—
514C4⋊C4—81no—
515C4⋊C4#10214yes—
516C22⋊C4—22no—
517C22⋊C4—41no—
518C22⋊C4—41no—
519C22⋊C4—41no—
520C22⋊C4—42no—
521C22⋊C4—42no—
522C22⋊C4—42no—
523C22⋊C4—42no—
524C22⋊C4—42no—
525C22⋊C4—42no—
526C22⋊C4—42no—
527C22⋊C4—42no—
528C22⋊C4—41no—
529C22⋊C4—41no—
530C22⋊C4—41no—
531C22⋊C4—41no—
532C22⋊C4—41no—
533C22⋊C4—41no—
534C22⋊C4—41no—
535C22⋊C4—41no—
536C22⋊C4—42no—
537C22⋊C4—42no—
538C22⋊C4—42no—
539C22⋊C4—42no—
540C22⋊C4—42no—
541C22⋊C4—42no—
542C22⋊C4—81no—
543C22⋊C4—81no—
544C22⋊C4—81no—
545C22⋊C4—81no—
546C22⋊C4—81no—
547C22⋊C4—81no—
548C22⋊C4#10214yes—
549C22⋊C4#10214yes—
550C42—21no—
551C42—21no—
552C42—21no—
553C42—21no—
554C42—41no—
555C42—41no—
556C42—41no—
557C42—41no—
558C42—41no—
559C42—41no—
560C42—41no—
561C42—41no—
562C42—41no—
563C42—41no—
564C42—42no—
565C42—42no—
566C42C2×D812yes—
567C42C2×SD1612yes—
568C23—21no—
569C23—21no—
570C23—21no—
571C23—21no—
572C23—21no—
573C23—21no—
574C23—21no—
575C23—21no—
576C23—21no—
577C23—21no—
578C23—21no—
579C23—21no—
580C23—22no—
581C23—41no—
582C23—41no—
583C23—41no—
584C23—41no—
585C23—41no—
586C23—41no—
587C23—41no—
588C23—41no—
589C23—41no—
590C23—41no—
591C23—41no—
592C23—41no—
593C23—41no—
594C23—84no—
595C23—84no—
596C23—84no—
597C23—84no—
598C23—162no—
599C23—162no—
600C23—162no—
601C23C2×#10212yes—
602C23C2×#10212yes—
603C23C22×C22⋊C411yescharacteristic
604Q8—162no—
605D4—44no—
606D4—42no—
607D4—42no—
608D4—84no—
609D4—81no—
610D4—81no—
611D4—84no—
612D4—162no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—21no—
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—42no—
645C2×C4—42no—
646C2×C4—42no—
647C2×C4—42no—
648C2×C4—42no—
649C2×C4—42no—
650C2×C4—41no—
651C2×C4—41no—
652C2×C4—41no—
653C2×C4—41no—
654C2×C4—41no—
655C2×C4—41no—
656C2×C4—41no—
657C2×C4—41no—
658C2×C4—41no—
659C2×C4—41no—
660C2×C4—41no—
661C2×C4—41no—
662C2×C4—41no—
663C2×C4—41no—
664C2×C4—41no—
665C2×C4—41no—
666C2×C4—41no—
667C2×C4—41no—
668C2×C4—81no—
669C2×C4—81no—
670C2×C4—81no—
671C2×C4—81no—
672C2×C4—81no—
673C2×C4—81no—
674C2×C4—84no—
675C2×C4—84no—
676C2×C4—162no—
677C2×C4#41312yes—
678C2×C4C2×#10212yes—
679C2×C4C2×#10212yes—
680C2×C4C2×#10212yes—
681C2×C4C2×#10212yes—
682C2×C4C2×#13111yescharacteristic
683C2×C4#56811yescharacteristic
684C2×C4C22×D811yescharacteristic
685C2×C4C22×SD1611yescharacteristic
686C2×C4#57511yescharacteristic
687C2×C4#57511yescharacteristic
688C8—42no—
689C8—42no—
690C8—81no—
691C8—81no—
692C8—81no—
693C8—81no—
694C8—81no—
695C8—81no—
696C22—22no—
697C22—22no—
698C22—22no—
699C22—22no—
700C22—22no—
701C22—22no—
702C22—41no—
703C22—41no—
704C22—41no—
705C22—41no—
706C22—41no—
707C22—41no—
708C22—41no—
709C22—41no—
710C22—42no—
711C22—42no—
712C22—42no—
713C22—81no—
714C22—81no—
715C22—81no—
716C22—81no—
717C22—81no—
718C22—81no—
719C22—81no—
720C22—81no—
721C22—81no—
722C22—81no—
723C22—81no—
724C22—168no—
725C22#288011yescharacteristic
726C22#288311yescharacteristic
727C22C2×#41311yescharacteristic
728C22C22×#10211yescharacteristic
729C22#289611yescharacteristic
730C22#290111yescharacteristic
731C22#290111yescharacteristic
732C4—21no—
733C4—21no—
734C4—22no—
735C4—22no—
736C4—22no—
737C4—21no—
738C4—21no—
739C4—22no—
740C4—22no—
741C4—21no—
742C4—21no—
743C4—41no—
744C4—41no—
745C4—41no—
746C4—41no—
747C4—41no—
748C4—81no—
749C4—81no—
750C4—81no—
751C4—81no—
752C4—81no—
753C4—81no—
754C2—42no—
755C2—42no—
756C2—82no—
757C2—161no—
758C2#1742211yescharacteristic
759C2#1750711yescharacteristic
760C2#1751311yescharacteristic
761C2#1761311yescharacteristic
762C2#1762511yescharacteristic
763C2#1769111yescharacteristic
764C2#1770411yescharacteristic
subgroupG/H
center, socleC23C22×C22⋊C4
commutatorC22×C4C23×C4
Frattini, cosocleC2×C42C24
prime radical#2408C4
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. #22835C2semidirect
3. #22698C2semidirect
4. #7732C2semidirect
5. #7728C2semidirect
6. #7686C2semidirect
7. #7685C2semidirect
8. #7658C2semidirect
9. #7654C2semidirect
10. #7647C2semidirect
11. #7614C2semidirect
12. #7606C2semidirect
13. #7574C2semidirect
14. #7572C2semidirect
15. #7565C2semidirect
46. #1831C22semidirect
47. #1831C22semidirect
49. #1817C22semidirect
51. #1797C22semidirect
53. #1767C22semidirect
54. C4×C4⋊C8C22semidirect
56. C4×C22⋊C8C22semidirect
58. C2×#336C22semidirect
59. #1271C22semidirect
60. #1271C22semidirect
61. #1271C22semidirect
62. #1271C22semidirect
63. #1271C22semidirect
64. #1271C22semidirect
65. #1271C22semidirect
66. #1271C22semidirect

Maximal subgroups

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

subgroupindex
#362622
#228352
#226982
#77322
#77282
#76862
#76852
#76582
#76542
#76472
#76142
#76062
#75742
#75722
#75652