Finite Group Databasebeta

← #381645

Subgroups — #381645

Order 512.

914 conjugacy classes of subgroups.

The subgroup lattice has 806 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23638C211yesmaximal, characteristic
2#20835C211yesmaximal, characteristic
3#20386C211yesmaximal, characteristic
4#11317C211yesmaximal, characteristic, complemented
5#11291C211yesmaximal, characteristic, complemented
6#11258C211yesmaximal, characteristic, complemented
7#11221C211yesmaximal, characteristic, complemented
8#11201C211yesmaximal, characteristic
9#11201C211yesmaximal, characteristic
10#11097C211yesmaximal, characteristic
11#10910C211yesmaximal, characteristic, complemented
12#10909C211yesmaximal, characteristic, complemented
13#10887C211yesmaximal, characteristic, complemented
14#10887C211yesmaximal, characteristic, complemented
15#10715C211yesmaximal, characteristic
16C23×M16C2211yescharacteristic
17C22×#108C2211yescharacteristic
18C2×#427C2211yescharacteristic
19C2×#424C2211yescharacteristic
20C2×#424C2211yescharacteristic
21C2×#407C2211yescharacteristic
22C2×#407C2211yescharacteristic
23C22×C22⋊C8C2211yescharacteristic
24C2×#405C2211yescharacteristic
25C2×#405C2211yescharacteristic
26#2280C2211yescharacteristic
27#2280C2211yescharacteristic
28C2×C4×C22⋊C4C2211yescharacteristic
29#2077C411yescharacteristic, complemented
30#2077C411yescharacteristic, complemented
31#2077C411yescharacteristic, complemented
32#2077C411yescharacteristic, complemented
33#2076C411yescharacteristic, complemented
34#2076C411yescharacteristic, complemented
35#2075C411yescharacteristic, complemented
36#2075C411yescharacteristic, complemented
37#1851—21no—
38#1851—21no—
39#1851—21no—
40#1851—21no—
41#1753—21no—
42#1753—21no—
43#1753—21no—
44#1753—21no—
45C2×#341C2211yescharacteristic
46C2×#341C2211yescharacteristic
47C2×#341C2211yescharacteristic
48#1735C2211yescharacteristic
49#1735C2211yescharacteristic
50#1735C2211yescharacteristic
51C2×#339C2211yescharacteristic
52C2×#339C2211yescharacteristic
53C2×#339C2211yescharacteristic
54C2×#339C2211yescharacteristic
55C2×#339C2211yescharacteristic
56C2×#339C2211yescharacteristic
57C2×#339C2211yescharacteristic
58C2×#339C2211yescharacteristic
59#1729C2211yescharacteristic
60#1729C2211yescharacteristic
61#1729C2211yescharacteristic
62#1729C2211yescharacteristic
63C2×#336C2211yescharacteristic
64C2×#336C2211yescharacteristic
65C2×#336C2211yescharacteristic
66C2×#336C2211yescharacteristic
67C24×C4C2311yescharacteristic
68C22×M16—22no—
69C22×M16—22no—
70C22×M16—41no—
71C22×M16—41no—
72C22×M16—41no—
73C22×M16—41no—
74C22×M16D411yescharacteristic
75C22×M16D411yescharacteristic
76C22×M16D411yescharacteristic
77C22×M16D411yescharacteristic
78C22×M16C2311yescharacteristic
79C22×M16C2311yescharacteristic
80C22×M16C2311yescharacteristic
81C22×M16C2311yescharacteristic
82C23×C8C2311yescharacteristic
83C23×C8C2311yescharacteristic
84C23×C8C2311yescharacteristic
85C23×C8C2311yescharacteristic
86C2×#117C2311yescharacteristic
87C2×#117C2311yescharacteristic
88C2×#117C2311yescharacteristic
89C2×#117C2311yescharacteristic
90C22×C22⋊C4—21no—
91C22×C42C2311yescharacteristic
92C22×C42C2311yescharacteristic
93C2×#108—22no—
94C2×#108—41no—
95C2×#108—41no—
96#427—41no—
97#427—41no—
98C2×#107C2×C411yescharacteristic
99C2×#107C2×C411yescharacteristic
100C2×#106C2×C411yescharacteristic
101C2×#106C2×C411yescharacteristic
102#424—22no—
103#424—22no—
104#424—41no—
105#424—41no—
106C2×C4⋊C8—21no—
107C2×C4⋊C8—21no—
108C2×C4⋊C8—21no—
109C2×C4⋊C8—21no—
110#407—22no—
111#407—22no—
112#407—41no—
113#407—41no—
114C2×C22⋊C8—21no—
115C2×C22⋊C8—21no—
116C2×C22⋊C8—21no—
117C2×C22⋊C8—21no—
118C2×C22⋊C8—41no—
119C2×C22⋊C8—41no—
120C2×C22⋊C8C2×C411yescharacteristic
121C2×C22⋊C8C2×C411yescharacteristic
122C2×C22⋊C8C2×C411yescharacteristic
123C2×C22⋊C8C2×C411yescharacteristic
124#405—41no—
125#405—41no—
126#405—41no—
127#405—41no—
128C2×#97—21no—
129C2×#97—21no—
130C2×C4×C8—21no—
131C2×C4×C8—21no—
132#381—21no—
133#381—21no—
134#380C2×C411yescharacteristic
135#380C2×C411yescharacteristic
136#380C2×C411yescharacteristic
137#380C2×C411yescharacteristic
138#380C2×C411yescharacteristic
139#380C2×C411yescharacteristic
140#380C2×C411yescharacteristic
141#380C2×C411yescharacteristic
142#379—21no—
143#379—21no—
144C4×C22⋊C4—21no—
145C4×C22⋊C4—21no—
146C4×C22⋊C4—21no—
147C4×C22⋊C4—21no—
148C4×C22⋊C4—41no—
149C4×C22⋊C4—41no—
150C2×#95—21no—
151#341—22no—
152#341—41no—
153#341—41no—
154#340C2×C411yescharacteristic
155#340C2×C411yescharacteristic
156#340C2×C411yescharacteristic
157#340C2×C411yescharacteristic
158#340C2×C411yescharacteristic
159#340C2×C411yescharacteristic
160#340C2×C411yescharacteristic
161#340C2×C411yescharacteristic
162#340C2×C411yescharacteristic
163#340C2×C411yescharacteristic
164#340C2×C411yescharacteristic
165#340C2×C411yescharacteristic
166#339—22no—
167#339—22no—
168#339—41no—
169#339—41no—
170#339—41no—
171#339—41no—
172#339—41no—
173#339—41no—
174#336—21no—
175#336—21no—
176#336—21no—
177#336—21no—
178#336—21no—
179#336—21no—
180#336—21no—
181#336—21no—
182#336—22no—
183#336—22no—
184#336—41no—
185#336—41no—
186C25#4111yescharacteristic
187C23×C4—21no—
188C23×C4—21no—
189C23×C4—21no—
190C23×C4—21no—
191C23×C4—21no—
192C23×C4—21no—
193C23×C4—21no—
194C23×C4—21no—
195C23×C4—21no—
196C23×C4—21no—
197C23×C4—21no—
198C23×C4—21no—
199C23×C4—21no—
200C23×C4—21no—
201C23×C4C22×C411yescharacteristic
202C23×C4C22×C411yescharacteristic
203C23×C4C2×D411yescharacteristic
204C23×C4C2×D411yescharacteristic
205C23×C4#4111yescharacteristic
206C23×C4C2411yescharacteristic
207C2×M16—21no—
208C2×M16—21no—
209C2×M16—22no—
210C2×M16—22no—
211C2×M16—22no—
212C2×M16—22no—
213C2×M16—21no—
214C2×M16—21no—
215C2×M16—21no—
216C2×M16—21no—
217C2×M16—21no—
218C2×M16—21no—
219C2×M16—21no—
220C2×M16—21no—
221C2×M16—21no—
222C2×M16—21no—
223C2×M16—21no—
224C2×M16—21no—
225C2×M16—21no—
226C2×M16—21no—
227C2×M16—21no—
228C2×M16—21no—
229C2×M16—21no—
230C2×M16—21no—
231C2×M16—21no—
232C2×M16—21no—
233C2×M16—41no—
234C2×M16—41no—
235C2×M16—41no—
236C2×M16—41no—
237C2×M16—41no—
238C2×M16—41no—
239C2×M16—41no—
240C2×M16—41no—
241C2×M16—44no—
242C2×M16—44no—
243C2×M16—44no—
244C2×M16—44no—
245C2×M16#4112yes—
246C2×M16#4112yes—
247C22×C8—21no—
248C22×C8—21no—
249C22×C8—21no—
250C22×C8—21no—
251C22×C8—21no—
252C22×C8—21no—
253C22×C8—21no—
254C22×C8—21no—
255C22×C8—21no—
256C22×C8—21no—
257C22×C8—21no—
258C22×C8—21no—
259C22×C8—21no—
260C22×C8—21no—
261C22×C8—21no—
262C22×C8—21no—
263C22×C8—21no—
264C22×C8—21no—
265C22×C8—21no—
266C22×C8—21no—
267C22×C8—21no—
268C22×C8—21no—
269C22×C8—21no—
270C22×C8—21no—
271C22×C8—21no—
272C22×C8—21no—
273C22×C8C22×C411yescharacteristic
274C22×C8C22×C411yescharacteristic
275C22×C8C22×C411yescharacteristic
276C22×C8C22×C411yescharacteristic
277C22×C8C2×D411yescharacteristic
278C22×C8C2×D411yescharacteristic
279C22×C8C2×D411yescharacteristic
280C22×C8C2×D411yescharacteristic
281C22×C8#4112yes—
282C22×C8#4112yes—
283#117—21no—
284#117—21no—
285#117—21no—
286#117—21no—
287#117—21no—
288#117—21no—
289#117—21no—
290#117—21no—
291#117—21no—
292#117—21no—
293#117—21no—
294#117—21no—
295#117—21no—
296#117—21no—
297#117—21no—
298#117—21no—
299C2×C4⋊C4C22×C411yescharacteristic
300C2×C4⋊C4C22×C411yescharacteristic
301C2×C4⋊C4C22×C411yescharacteristic
302C2×C4⋊C4C22×C411yescharacteristic
303C2×C4⋊C4C22×C411yescharacteristic
304C2×C4⋊C4C22×C411yescharacteristic
305C2×C4⋊C4C22×C411yescharacteristic
306C2×C4⋊C4C22×C411yescharacteristic
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—42no—
320C2×C22⋊C4—42no—
321C2×C22⋊C4—42no—
322C2×C42—21no—
323C2×C42—21no—
324C2×C42—21no—
325C2×C42—21no—
326C2×C42—21no—
327C2×C42—21no—
328C2×C42—21no—
329C2×C42—21no—
330C2×C42—21no—
331C2×C42—21no—
332C2×C42—21no—
333C2×C42—21no—
334C2×C42—21no—
335C2×C42—21no—
336C2×C42—21no—
337C2×C42—21no—
338#108—44no—
339#107—41no—
340#107—41no—
341#106—41no—
342#106—41no—
343C4⋊C8—42no—
344C4⋊C8—42no—
345C4⋊C8—42no—
346C4⋊C8—42no—
347C22⋊C8—24no—
348C22⋊C8—24no—
349C22⋊C8—41no—
350C22⋊C8—41no—
351C22⋊C8—41no—
352C22⋊C8—41no—
353C22⋊C8—42no—
354C22⋊C8—42no—
355#97—42no—
356#97—42no—
357C4×C8—42no—
358C4×C8—42no—
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—42no—
368C24—21no—
369C24—21no—
370C24—21no—
371C24—21no—
372C24—21no—
373C24—21no—
374C24—41no—
375C24—41no—
376C24—41no—
377C24—41no—
378C24C4×D411yescharacteristic
379C24C4×D411yescharacteristic
380C24C2×#4111yescharacteristic
381C22×C4—21no—
382C22×C4—21no—
383C22×C4—21no—
384C22×C4—21no—
385C22×C4—21no—
386C22×C4—21no—
387C22×C4—21no—
388C22×C4—21no—
389C22×C4—21no—
390C22×C4—21no—
391C22×C4—21no—
392C22×C4—21no—
393C22×C4—21no—
394C22×C4—21no—
395C22×C4—21no—
396C22×C4—21no—
397C22×C4—21no—
398C22×C4—21no—
399C22×C4—21no—
400C22×C4—21no—
401C22×C4—21no—
402C22×C4—21no—
403C22×C4—21no—
404C22×C4—21no—
405C22×C4—21no—
406C22×C4—21no—
407C22×C4—21no—
408C22×C4—21no—
409C22×C4—21no—
410C22×C4—21no—
411C22×C4—22no—
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—41no—
422C22×C4—41no—
423C22×C4—41no—
424C22×C4—41no—
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—41no—
437C22×C4—41no—
438C22×C4—41no—
439C22×C4—41no—
440C22×C4—41no—
441C22×C4—41no—
442C22×C4—41no—
443C22×C4—41no—
444C22×C4—41no—
445C22×C4—41no—
446C22×C4—41no—
447C22×C4—41no—
448C22×C4—41no—
449C22×C4C4×D411yescharacteristic
450C22×C4C4×D411yescharacteristic
451C22×C4C23×C411yescharacteristic
452C22×C4C22×D411yescharacteristic
453C22×C4C2×#4111yescharacteristic
454C22×C4C2×#4111yescharacteristic
455C22×C4C2×#4111yescharacteristic
456C22×C4C2×#4111yescharacteristic
457C22×C4H(5,𝔽2)11yescharacteristic
458C22×C4H(5,𝔽2)11yescharacteristic
459C22×C4H(5,𝔽2)11yescharacteristic
460C22×C4H(5,𝔽2)11yescharacteristic
461C22×C4H(5,𝔽2)11yescharacteristic
462C22×C42−1+411yescharacteristic
463C22×C42−1+411yescharacteristic
464C22×C42−1+411yescharacteristic
465M16—22no—
466M16—22no—
467M16—22no—
468M16—22no—
469M16—44no—
470M16—44no—
471M16—44no—
472M16—44no—
473M16—41no—
474M16—41no—
475M16—41no—
476M16—41no—
477M16—41no—
478M16—41no—
479M16—41no—
480M16—41no—
481M16—41no—
482M16—41no—
483M16—41no—
484M16—41no—
485C2×C8—21no—
486C2×C8—21no—
487C2×C8—21no—
488C2×C8—21no—
489C2×C8—22no—
490C2×C8—22no—
491C2×C8—22no—
492C2×C8—22no—
493C2×C8—21no—
494C2×C8—21no—
495C2×C8—21no—
496C2×C8—21no—
497C2×C8—21no—
498C2×C8—21no—
499C2×C8—21no—
500C2×C8—21no—
501C2×C8—21no—
502C2×C8—21no—
503C2×C8—21no—
504C2×C8—21no—
505C2×C8—21no—
506C2×C8—21no—
507C2×C8—22no—
508C2×C8—22no—
509C2×C8—21no—
510C2×C8—21no—
511C2×C8—21no—
512C2×C8—21no—
513C2×C8—41no—
514C2×C8—41no—
515C2×C8—41no—
516C2×C8—41no—
517C2×C8—41no—
518C2×C8—41no—
519C2×C8—41no—
520C2×C8—41no—
521C2×C8—41no—
522C2×C8—41no—
523C2×C8—41no—
524C2×C8—41no—
525C2×C8—41no—
526C2×C8—41no—
527C2×C8—41no—
528C2×C8—41no—
529C2×C8—41no—
530C2×C8—41no—
531C2×C8—41no—
532C2×C8—41no—
533C2×C8—41no—
534C2×C8—41no—
535C2×C8#12312yes—
536C2×C8#12312yes—
537C4⋊C4—21no—
538C4⋊C4—21no—
539C4⋊C4—21no—
540C4⋊C4—21no—
541C4⋊C4—21no—
542C4⋊C4—21no—
543C4⋊C4—21no—
544C4⋊C4—21no—
545C4⋊C4—21no—
546C4⋊C4—21no—
547C4⋊C4—21no—
548C4⋊C4—21no—
549C4⋊C4—21no—
550C4⋊C4—21no—
551C4⋊C4—21no—
552C4⋊C4—21no—
553C22⋊C4—48no—
554C22⋊C4—41no—
555C22⋊C4—41no—
556C22⋊C4—41no—
557C22⋊C4—41no—
558C22⋊C4—41no—
559C22⋊C4—41no—
560C22⋊C4—41no—
561C22⋊C4—41no—
562C22⋊C4—81no—
563C22⋊C4—81no—
564C22⋊C4—81no—
565C22⋊C4—81no—
566C22⋊C4—81no—
567C22⋊C4—81no—
568C22⋊C4—81no—
569C22⋊C4—81no—
570C42—41no—
571C42—41no—
572C42—41no—
573C42—41no—
574C42—41no—
575C42—41no—
576C42—41no—
577C42—41no—
578C42—41no—
579C42—41no—
580C42—41no—
581C42—41no—
582C42—41no—
583C42—41no—
584C42—41no—
585C42—41no—
586C23—21no—
587C23—21no—
588C23—21no—
589C23—21no—
590C23—21no—
591C23—21no—
592C23—21no—
593C23—21no—
594C23—21no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—21no—
599C23—21no—
600C23—21no—
601C23—21no—
602C23—21no—
603C23—21no—
604C23—42no—
605C23—42no—
606C23—42no—
607C23—42no—
608C23—41no—
609C23—41no—
610C23—41no—
611C23—41no—
612C23—81no—
613C23—81no—
614C23—81no—
615C23—81no—
616C23—81no—
617C23—81no—
618C23—81no—
619C23—81no—
620C23C2×C4×D411yescharacteristic
621C23#52911yescharacteristic
622C23#52911yescharacteristic
623C23#53811yescharacteristic
624C23#53911yescharacteristic
625C23#53911yescharacteristic
626C23#53911yescharacteristic
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—41no—
652C2×C4—41no—
653C2×C4—42no—
654C2×C4—42no—
655C2×C4—42no—
656C2×C4—42no—
657C2×C4—42no—
658C2×C4—42no—
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—41no—
669C2×C4—41no—
670C2×C4—41no—
671C2×C4—41no—
672C2×C4—41no—
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—81no—
684C2×C4—81no—
685C2×C4—81no—
686C2×C4—81no—
687C2×C4—81no—
688C2×C4—81no—
689C2×C4—81no—
690C2×C4—81no—
691C2×C4C4×#4111yescharacteristic
692C2×C4C4×#4111yescharacteristic
693C2×C4#51811yescharacteristic
694C2×C4#52011yescharacteristic
695C2×C4#52011yescharacteristic
696C2×C4#52011yescharacteristic
697C2×C4C2×#12311yescharacteristic
698C2×C4#52511yescharacteristic
699C2×C4#53411yescharacteristic
700C2×C4#53411yescharacteristic
701C2×C4#53611yescharacteristic
702C2×C4#53711yescharacteristic
703C2×C4#53811yescharacteristic
704C2×C4#53811yescharacteristic
705C2×C4#53811yescharacteristic
706C2×C4#53811yescharacteristic
707C2×C4#53811yescharacteristic
708C2×C4#53911yescharacteristic
709C2×C4#53911yescharacteristic
710C2×C4#53911yescharacteristic
711C2×C4#54011yescharacteristic
712C2×C4#54111yescharacteristic
713C2×C4#54111yescharacteristic
714C2×C4#54211yescharacteristic
715C2×C4#54211yescharacteristic
716C2×C4#54211yescharacteristic
717C2×C4#54211yescharacteristic
718C2×C4#54211yescharacteristic
719C8—22no—
720C8—22no—
721C8—41no—
722C8—41no—
723C8—41no—
724C8—41no—
725C8—41no—
726C8—41no—
727C8—42no—
728C8—42no—
729C8—81no—
730C8—81no—
731C22—21no—
732C22—21no—
733C22—21no—
734C22—21no—
735C22—21no—
736C22—21no—
737C22—21no—
738C22—21no—
739C22—21no—
740C22—21no—
741C22—21no—
742C22—21no—
743C22—41no—
744C22—41no—
745C22—41no—
746C22—41no—
747C22—41no—
748C22—41no—
749C22—41no—
750C22—41no—
751C22—41no—
752C22—41no—
753C22—41no—
754C22—41no—
755C22—41no—
756C22—41no—
757C22—82no—
758C22—82no—
759C22—82no—
760C22—82no—
761C22C4×#12311yescharacteristic
762C22#232211yescharacteristic
763C22#232511yescharacteristic
764C22#264911yescharacteristic
765C22#265211yescharacteristic
766C22#265211yescharacteristic
767C22#265311yescharacteristic
768C22#295611yescharacteristic
769C22#295611yescharacteristic
770C22#295711yescharacteristic
771C22#295711yescharacteristic
772C4—41no—
773C4—41no—
774C4—82no—
775C4—82no—
776C4—81no—
777C4—81no—
778C4—81no—
779C4—81no—
780C4—81no—
781C4—81no—
782C4—81no—
783C4—81no—
784C4#233411yescharacteristic
785C4#233411yescharacteristic
786C4#233511yescharacteristic
787C4#233711yescharacteristic
788C4#262211yescharacteristic
789C4#262511yescharacteristic
790C4#263011yescharacteristic
791C4#263811yescharacteristic
792C2—21no—
793C2—21no—
794C2—21no—
795C2—21no—
796C2—81no—
797C2—81no—
798C2#1430411yescharacteristic
799C2#2159411yescharacteristic
800C2#2159411yescharacteristic
801C2#2209711yescharacteristic
802C2#2209711yescharacteristic
803C2#2220611yescharacteristic
804C2#2220711yescharacteristic
subgroupG/H
centerC22×C4C22×D4
commutatorC22×C4C23×C4
Frattini, cosocleC23×C4C24
socleC23C2×C4×D4
prime radicalC25#41
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C4 ◁ C23×M16 ◁ G
LECSG ▷ C23×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
4. #11317C2semidirect
5. #11291C2semidirect
6. #11258C2semidirect
7. #11221C2semidirect
11. #10910C2semidirect
12. #10909C2semidirect
13. #10887C2semidirect
14. #10887C2semidirect
29. #2077C4semidirect
30. #2077C4semidirect
31. #2077C4semidirect
32. #2077C4semidirect
33. #2076C4semidirect
34. #2076C4semidirect
35. #2075C4semidirect
36. #2075C4semidirect

Maximal subgroups

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

subgroupindex
#236382
#208352
#203862
#113172
#112912
#112582
#112212
#112012
#110972
#109102
#109092
#108872
#107152