Finite Group Databasebeta

← #164937

Subgroups — #164937

Order 512.

964 conjugacy classes of subgroups.

The subgroup lattice has 761 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36262C211yesmaximal, characteristic
2#22788C211yesmaximal, characteristic, complemented
3#22785C211yesmaximal, characteristic, complemented
4#7726C211yesmaximal, characteristic, complemented
5#7725C211yesmaximal, characteristic, complemented
6#7692C211yesmaximal, characteristic, complemented
7#7688C211yesmaximal, characteristic, complemented
8#7658C211yesmaximal, characteristic, complemented
9#7654C211yesmaximal, characteristic, complemented
10#7647C211yesmaximal, characteristic, complemented
11#7608C211yesmaximal, characteristic, complemented
12#7606C211yesmaximal, characteristic, complemented
13#7580C211yesmaximal, characteristic, complemented
14#7572C211yesmaximal, characteristic, complemented
15#7565C211yesmaximal, characteristic, complemented
16C2×#551—21no—
17#2860C2211yescharacteristic
18#2857C2211yescharacteristic
19#2854C2211yescharacteristic
20#2602—21no—
21#2601—21no—
22#2561—21no—
23#2560—21no—
24#2557—21no—
25#2534—21no—
26#2512C411yescharacteristic
27#2491C411yescharacteristic
28#2486C411yescharacteristic
29#2452C411yescharacteristic
30#2422C411yescharacteristic
31#2408C411yescharacteristic
32#2344C411yescharacteristic
33#2342—21no—
34D4×C22⋊C4C411yescharacteristic
35C4×#121C2211yescharacteristic
36#2293C2211yescharacteristic
37C2×#390C2211yescharacteristic
38C42×D4C2211yescharacteristic
39#1924—21no—
40#1923—21no—
41#1916—21no—
42#1916—21no—
43#1870—21no—
44#1869—21no—
45#1839C2211yescharacteristic, complemented
46#1839C2211yescharacteristic, complemented
47#1817C2211yescharacteristic
48#1817C2211yescharacteristic, complemented
49#1797C2211yescharacteristic
50#1797C2211yescharacteristic, complemented
51#1753—21no—
52C8×C22⋊C4—21no—
53C4×C22⋊C8C2211yescharacteristic
54C4×C22⋊C8C2211yescharacteristic, complemented
55#1745C2211yescharacteristic, complemented
56#1744C2211yescharacteristic, 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
106C2×C4⋊C8—21no—
107C2×C4⋊C8—21no—
108C2×C22⋊C8—21no—
109C2×C22⋊C8—21no—
110C2×C22⋊C8—21no—
111C2×C22⋊C8—21no—
112C2×C22⋊C8—21no—
113C2×C22⋊C8—21no—
114C2×#97—21no—
115C2×C4×C8—21no—
116C2×C4×C8—21no—
117C2×C4×C8—21no—
118#398—21no—
119#397—21no—
120#397—21no—
121#397—21no—
122#396—21no—
123#396—21no—
124#394—21no—
125#394—21no—
126#394—21no—
127#393—21no—
128#393—21no—
129#392—21no—
130#391—21no—
131#390—21no—
132#390—21no—
133#390C2×C411yescharacteristic
134#390C2×C411yescharacteristic
135#390C2×C411yescharacteristic
136#390C2×C411yescharacteristic
137#390C2×C411yescharacteristic
138#390C2×C411yescharacteristic
139#390C2311yescharacteristic
140#390C2311yescharacteristic
141#389—21no—
142#389C2×C411yescharacteristic
143#389C2×C411yescharacteristic
144#389C2×C411yescharacteristic
145#389C2×C411yescharacteristic
146#389C2311yescharacteristic
147#389C2311yescharacteristic
148#388—21no—
149#388—21no—
150#388—21no—
151#388—21no—
152#388—21no—
153#388—21no—
154#388—21no—
155#388—21no—
156#388—21no—
157#388—21no—
158#387—21no—
159#387—21no—
160#386—21no—
161#386—21no—
162#386—21no—
163#386—21no—
164#385—21no—
165#385—21no—
166#384C2×C411yescharacteristic
167#381—21no—
168#381—21no—
169#380—21no—
170#380C2×C411yescharacteristic
171#380C2×C411yescharacteristic
172#380C2×C411yescharacteristic
173#380C2×C411yescharacteristic
174#379—21no—
175#379—21no—
176C4×C4⋊C4C2×C411yescharacteristic
177C4×C4⋊C4C2×C411yescharacteristic
178C4×C4⋊C4C2×C411yescharacteristic
179C4×C4⋊C4D411yescharacteristic
180C4×C4⋊C4D411yescharacteristic
181C4×C22⋊C4—21no—
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—22no—
211C22×D4—21no—
212C22×D4—21no—
213C22×D4—21no—
214C22×D4—41no—
215C22×D4—42no—
216C22×D4—81no—
217C22×D4C22⋊C411yescharacteristic
218C22×D4C22×C411yescharacteristic
219C22×D4C22×C411yescharacteristic
220C23×C4—21no—
221C23×C4—21no—
222C23×C4—21no—
223C23×C4C22×C411yescharacteristic
224C23×C4C22×C411yescharacteristic
225C23×C4C2×D411yescharacteristic
226C23×C4C2×D411yescharacteristic
227C23×C4C2×D411yescharacteristic
228C23×C4C2×D411yescharacteristic
229C2×M16—42no—
230C2×M16—42no—
231C2×M16—81no—
232C22×C8—21no—
233C22×C8—21no—
234C22×C8—21no—
235C22×C8—21no—
236C22×C8—21no—
237C22×C8—21no—
238C22×C8—21no—
239C22×C8—21no—
240C22×C8—42no—
241C22×C8—42no—
242C22×C8—81no—
243C4⋊Q8—81no—
244#126—42no—
245#126—42no—
246#126—44no—
247#124—44no—
248#123—44no—
249#123—44no—
250#123—42no—
251#123—42no—
252C22⋊Q8—44no—
253C22⋊Q8—42no—
254C22⋊Q8—42no—
255#121—22no—
256#121—41no—
257#121—81no—
258#120—44no—
259C4×D4—22no—
260C4×D4—22no—
261C4×D4—22no—
262C4×D4—22no—
263C4×D4—22no—
264C4×D4—41no—
265C4×D4—42no—
266C4×D4—42no—
267C4×D4—42no—
268C4×D4—81no—
269#117—42no—
270#117—42no—
271#117—44no—
272C2×C4⋊C4—21no—
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—42no—
283C2×C4⋊C4C22⋊C411yescharacteristic
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×C22⋊C4—21no—
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—44no—
317C2×C22⋊C4—42no—
318C2×C22⋊C4—42no—
319C2×C22⋊C4—42no—
320C2×C22⋊C4—42no—
321C2×C22⋊C4C22⋊C411yescharacteristic
322C2×C22⋊C4C22⋊C411yescharacteristic
323C2×C22⋊C4C22⋊C411yescharacteristic
324C2×C22⋊C4C22⋊C411yescharacteristic
325C2×C22⋊C4C22⋊C411yescharacteristic
326C2×C22⋊C4C22⋊C411yescharacteristic
327C2×C42—21no—
328C2×C42—21no—
329C2×C42—81no—
330C2×C42—81no—
331C2×C42C22×C411yescharacteristic
332C2×C42C22×C411yescharacteristic
333C2×C42C22×C411yescharacteristic
334C2×C42C22×C411yescharacteristic
335C2×C42C2×D411yescharacteristic
336C2×C42C2×D411yescharacteristic
337C2×C42C2×D411yescharacteristic
338C2×C42C2×D411yescharacteristic
339C2×C42C2×D411yescharacteristic
340C2×C42C2×D411yescharacteristic
341C2×C42C2×D411yescharacteristic
342C2×C42C2×D411yescharacteristic
343C2×C42C2411yescharacteristic
344C4⋊C8—81no—
345C4⋊C8—81no—
346C22⋊C8—42no—
347C22⋊C8—42no—
348C22⋊C8—42no—
349C22⋊C8—42no—
350C22⋊C8—81no—
351C22⋊C8—81no—
352#97—42no—
353C4×C8—42no—
354C4×C8—81no—
355C4×C8—81no—
356#95—21no—
357#95—21no—
358#95—21no—
359#95—21no—
360#95—21no—
361#95—21no—
362#95—21no—
363#95—21no—
364#95—21no—
365#95—21no—
366#95—21no—
367#95—21no—
368#95C22⋊C411yescharacteristic
369#95C22⋊C411yescharacteristic
370#95C22⋊C411yescharacteristic
371#95C22⋊C411yescharacteristic
372#95C22⋊C411yescharacteristic
373#95C22⋊C411yescharacteristic
374C24—21no—
375C24—21no—
376C24—42no—
377C24—42no—
378C24—42no—
379C24—42no—
380C24—81no—
381C24—81no—
382C24—81no—
383C24C2×C22⋊C411yescharacteristic
384C24C2×C22⋊C411yescharacteristic
385C2×Q8—42no—
386C2×Q8—81no—
387C2×Q8—81no—
388C2×D4—22no—
389C2×D4—22no—
390C2×D4—21no—
391C2×D4—21no—
392C2×D4—21no—
393C2×D4—41no—
394C2×D4—41no—
395C2×D4—41no—
396C2×D4—42no—
397C2×D4—41no—
398C2×D4—41no—
399C2×D4—42no—
400C2×D4—42no—
401C2×D4—42no—
402C2×D4—42no—
403C2×D4—81no—
404C2×D4—84no—
405C2×D4—84no—
406C2×D4—81no—
407C2×D4—81no—
408C2×D4—81no—
409C2×D4#13112yes—
410C22×C4—21no—
411C22×C4—21no—
412C22×C4—22no—
413C22×C4—21no—
414C22×C4—21no—
415C22×C4—21no—
416C22×C4—21no—
417C22×C4—21no—
418C22×C4—21no—
419C22×C4—21no—
420C22×C4—21no—
421C22×C4—21no—
422C22×C4—21no—
423C22×C4—21no—
424C22×C4—21no—
425C22×C4—41no—
426C22×C4—41no—
427C22×C4—41no—
428C22×C4—41no—
429C22×C4—41no—
430C22×C4—41no—
431C22×C4—41no—
432C22×C4—41no—
433C22×C4—41no—
434C22×C4—41no—
435C22×C4—41no—
436C22×C4—42no—
437C22×C4—42no—
438C22×C4—42no—
439C22×C4—42no—
440C22×C4—42no—
441C22×C4—42no—
442C22×C4—81no—
443C22×C4—81no—
444C22×C4—81no—
445C22×C4C2×C22⋊C411yescharacteristic
446C22×C4C2×C22⋊C411yescharacteristic
447C22×C4C2×C22⋊C411yescharacteristic
448C22×C4C2×C22⋊C411yescharacteristic
449C22×C4C2×C22⋊C411yescharacteristic
450C22×C4C2×C22⋊C411yescharacteristic
451C22×C4C2×C22⋊C411yescharacteristic
452C22×C4C2×C22⋊C411yescharacteristic
453C22×C4C2×C22⋊C411yescharacteristic
454C22×C4C2×C22⋊C411yescharacteristic
455C22×C4#13512yes—
456C22×C4#13512yes—
457C22×C4AGL(1,ℤ/8)12yes—
458C22×C4AGL(1,ℤ/8)12yes—
459C22×C4C23×C411yescharacteristic
460C22×C4C22×D411yescharacteristic
461C22×C4C22×D411yescharacteristic
462M16—84no—
463C2×C8—22no—
464C2×C8—22no—
465C2×C8—41no—
466C2×C8—41no—
467C2×C8—41no—
468C2×C8—41no—
469C2×C8—41no—
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—84no—
488C4⋊C4—22no—
489C4⋊C4—22no—
490C4⋊C4—22no—
491C4⋊C4—21no—
492C4⋊C4—21no—
493C4⋊C4—21no—
494C4⋊C4—21no—
495C4⋊C4—41no—
496C4⋊C4—41no—
497C4⋊C4—41no—
498C4⋊C4—41no—
499C4⋊C4—42no—
500C4⋊C4—42no—
501C4⋊C4—42no—
502C4⋊C4—42no—
503C4⋊C4—41no—
504C4⋊C4—41no—
505C4⋊C4—41no—
506C4⋊C4—41no—
507C4⋊C4—42no—
508C4⋊C4—42no—
509C4⋊C4—81no—
510C4⋊C4—81no—
511C22⋊C4—22no—
512C22⋊C4—22no—
513C22⋊C4—22no—
514C22⋊C4—22no—
515C22⋊C4—22no—
516C22⋊C4—41no—
517C22⋊C4—42no—
518C22⋊C4—42no—
519C22⋊C4—42no—
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—81no—
540C22⋊C4—81no—
541C22⋊C4—81no—
542C22⋊C4—81no—
543C22⋊C4—81no—
544C22⋊C4—81no—
545C42—21no—
546C42—21no—
547C42—21no—
548C42—21no—
549C42—21no—
550C42—21no—
551C42—41no—
552C42—41no—
553C42—41no—
554C42—41no—
555C42—41no—
556C42—41no—
557C42—41no—
558C42—41no—
559C42—41no—
560C42—41no—
561C42—42no—
562C42—42no—
563C23—21no—
564C23—21no—
565C23—21no—
566C23—21no—
567C23—21no—
568C23—21no—
569C23—21no—
570C23—21no—
571C23—21no—
572C23—21no—
573C23—21no—
574C23—21no—
575C23—22no—
576C23—41no—
577C23—41no—
578C23—41no—
579C23—41no—
580C23—41no—
581C23—41no—
582C23—41no—
583C23—41no—
584C23—41no—
585C23—41no—
586C23—41no—
587C23—41no—
588C23—41no—
589C23—84no—
590C23—84no—
591C23—84no—
592C23—84no—
593C23—162no—
594C23—162no—
595C23—162no—
596C23#41612yes—
597C23#41812yes—
598C23C22×C22⋊C411yescharacteristic
599Q8—162no—
600D4—42no—
601D4—42no—
602D4—44no—
603D4—84no—
604D4—81no—
605D4—81no—
606D4—84no—
607D4—162no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—21no—
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—42no—
642C2×C4—42no—
643C2×C4—42no—
644C2×C4—42no—
645C2×C4—42no—
646C2×C4—42no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
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—81no—
666C2×C4—81no—
667C2×C4—81no—
668C2×C4—81no—
669C2×C4—81no—
670C2×C4—81no—
671C2×C4—84no—
672C2×C4—84no—
673C2×C4—162no—
674C2×C4#41312yes—
675C2×C4#41612yes—
676C2×C4#41812yes—
677C2×C4C2×#13111yescharacteristic
678C2×C4#56811yescharacteristic
679C2×C4C2×#13511yescharacteristic
680C2×C4C2×#13511yescharacteristic
681C2×C4C2×AGL(1,ℤ/8)11yescharacteristic
682C2×C4C2×AGL(1,ℤ/8)11yescharacteristic
683C8—42no—
684C8—42no—
685C8—81no—
686C8—81no—
687C8—81no—
688C8—81no—
689C8—81no—
690C8—81no—
691C22—22no—
692C22—22no—
693C22—22no—
694C22—22no—
695C22—22no—
696C22—22no—
697C22—41no—
698C22—41no—
699C22—41no—
700C22—41no—
701C22—41no—
702C22—41no—
703C22—41no—
704C22—41no—
705C22—42no—
706C22—42no—
707C22—42no—
708C22—81no—
709C22—81no—
710C22—81no—
711C22—81no—
712C22—81no—
713C22—81no—
714C22—81no—
715C22—81no—
716C22—81no—
717C22—81no—
718C22—81no—
719C22—168no—
720C22#288011yescharacteristic
721C22#288311yescharacteristic
722C22C2×#41311yescharacteristic
723C22C2×#41611yescharacteristic
724C22C2×#41811yescharacteristic
725C22#290111yescharacteristic
726C22#290111yescharacteristic
727C4—21no—
728C4—21no—
729C4—22no—
730C4—21no—
731C4—21no—
732C4—22no—
733C4—21no—
734C4—21no—
735C4—22no—
736C4—41no—
737C4—41no—
738C4—41no—
739C4—41no—
740C4—41no—
741C4—41no—
742C4—41no—
743C4—81no—
744C4—81no—
745C4—81no—
746C4—81no—
747C4—81no—
748C4—81no—
749C2—42no—
750C2—42no—
751C2—82no—
752C2—161no—
753C2#1742211yescharacteristic
754C2#1750811yescharacteristic
755C2#1751111yescharacteristic
756C2#1761511yescharacteristic
757C2#1762011yescharacteristic
758C2#1769111yescharacteristic
759C2#1771711yescharacteristic
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. #22788C2semidirect
3. #22785C2semidirect
4. #7726C2semidirect
5. #7725C2semidirect
6. #7692C2semidirect
7. #7688C2semidirect
8. #7658C2semidirect
9. #7654C2semidirect
10. #7647C2semidirect
11. #7608C2semidirect
12. #7606C2semidirect
13. #7580C2semidirect
14. #7572C2semidirect
15. #7565C2semidirect
45. #1839C22semidirect
46. #1839C22semidirect
48. #1817C22semidirect
50. #1797C22semidirect
54. C4×C22⋊C8C22semidirect
55. #1745C22semidirect
56. #1744C22semidirect
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
#227882
#227852
#77262
#77252
#76922
#76882
#76582
#76542
#76472
#76082
#76062
#75802
#75722
#75652