Finite Group Databasebeta

← #390584

Subgroups — #390584

Order 512.

1036 conjugacy classes of subgroups.

The subgroup lattice has 808 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23638C211yesmaximal, characteristic
2#21053C211yesmaximal, characteristic
3#21050C211yesmaximal, characteristic
4#11329C211yesmaximal, characteristic, complemented
5#11317C211yesmaximal, characteristic, complemented
6#11317C211yesmaximal, characteristic, complemented
7#11221C211yesmaximal, characteristic, complemented
8#11097C211yesmaximal, characteristic
9#10910C211yesmaximal, characteristic, complemented
10#10909C211yesmaximal, characteristic, complemented
11#10887C211yesmaximal, characteristic, complemented
12#10809C211yesmaximal, characteristic, complemented
13#10719C211yesmaximal, characteristic
14#10719C211yesmaximal, characteristic
15#10712C211yesmaximal, characteristic
16C23×C42C2211yescharacteristic
17C22×#108C2211yescharacteristic
18C2×#427C2211yescharacteristic
19C2×#424C2211yescharacteristic
20C2×#424C2211yescharacteristic
21C2×#407C2211yescharacteristic
22C2×#407C2211yescharacteristic
23C22×C22⋊C8C2211yescharacteristic
24C22×C22⋊C8C2211yescharacteristic
25C2×#405C2211yescharacteristic
26C2×#405C2211yescharacteristic
27#2280C2211yescharacteristic
28#2280C2211yescharacteristic
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#1924—21no—
38#1924—21no—
39#1924—21no—
40#1924—21no—
41#1923—21no—
42#1923—21no—
43#1923—21no—
44#1923—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×C4—21no—
68C24×C4C2311yescharacteristic
69C22×M16C2311yescharacteristic
70C22×M16C2311yescharacteristic
71C22×M16C2311yescharacteristic
72C22×M16C2311yescharacteristic
73C23×C8C2311yescharacteristic
74C23×C8C2311yescharacteristic
75C23×C8C2311yescharacteristic
76C23×C8C2311yescharacteristic
77C2×#117C2311yescharacteristic
78C2×#117C2311yescharacteristic
79C2×#117C2311yescharacteristic
80C2×#117C2311yescharacteristic
81C22×C42—22no—
82C22×C42—22no—
83C22×C42—21no—
84C22×C42—41no—
85C22×C42—41no—
86C22×C42—41no—
87C22×C42—41no—
88C22×C42C2311yescharacteristic
89C22×C42C2311yescharacteristic
90C2×#108—22no—
91C2×#108—41no—
92C2×#108—41no—
93#427—41no—
94#427—41no—
95C2×#107C2×C411yescharacteristic, complemented
96C2×#107C2×C411yescharacteristic, complemented
97C2×#106C2×C411yescharacteristic, complemented
98C2×#106C2×C411yescharacteristic, complemented
99#424—22no—
100#424—41no—
101#424—41no—
102#424—41no—
103C2×C4⋊C8—21no—
104C2×C4⋊C8—21no—
105C2×C4⋊C8—21no—
106C2×C4⋊C8—21no—
107#407—22no—
108#407—22no—
109#407—41no—
110#407—41no—
111C2×C22⋊C8—21no—
112C2×C22⋊C8—21no—
113C2×C22⋊C8—21no—
114C2×C22⋊C8—21no—
115C2×C22⋊C8—41no—
116C2×C22⋊C8—41no—
117C2×C22⋊C8—41no—
118C2×C22⋊C8—41no—
119C2×C22⋊C8C2×C411yescharacteristic
120C2×C22⋊C8C2×C411yescharacteristic
121C2×C22⋊C8C2×C411yescharacteristic
122C2×C22⋊C8C2×C411yescharacteristic
123C2×C22⋊C8D411yescharacteristic
124C2×C22⋊C8D411yescharacteristic
125C2×C22⋊C8D411yescharacteristic
126C2×C22⋊C8D411yescharacteristic
127#405—22no—
128#405—41no—
129#405—41no—
130#405—41no—
131C2×#97—21no—
132C2×#97—21no—
133C2×C4×C8—21no—
134C2×C4×C8—21no—
135#381—21no—
136#381—21no—
137#380C2×C411yescharacteristic
138#380C2×C411yescharacteristic
139#380C2×C411yescharacteristic
140#380C2×C411yescharacteristic
141#380C2×C411yescharacteristic
142#380C2×C411yescharacteristic
143#380C2×C411yescharacteristic
144#380C2×C411yescharacteristic
145#379—21no—
146#379—21no—
147C4×C22⋊C4—21no—
148C4×C22⋊C4—21no—
149C4×C22⋊C4—21no—
150C4×C22⋊C4—21no—
151#341—22no—
152#341—41no—
153#341—41no—
154#340C2×C411yescharacteristic, complemented
155#340C2×C411yescharacteristic, complemented
156#340C2×C411yescharacteristic, complemented
157#340C2×C411yescharacteristic, complemented
158#340C2×C411yescharacteristic, complemented
159#340C2×C411yescharacteristic, complemented
160#340C2×C411yescharacteristic, complemented
161#340C2×C411yescharacteristic, complemented
162#340C2×C411yescharacteristic, complemented
163#340C2×C411yescharacteristic, complemented
164#340C2×C411yescharacteristic, complemented
165#340C2×C411yescharacteristic, complemented
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×C4—24no—
202C23×C4—42no—
203C23×C4—42no—
204C23×C4—42no—
205C23×C4—42no—
206C23×C4—42no—
207C23×C4—42no—
208C23×C4C22×C411yescharacteristic
209C23×C4C22×C411yescharacteristic
210C23×C4C2×D411yescharacteristic
211C23×C4C2×D411yescharacteristic
212C23×C4#4111yescharacteristic
213C23×C4C2411yescharacteristic
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—21no—
234C2×M16—21no—
235C2×M16—21no—
236C2×M16#4112yes—
237C2×M16#4112yes—
238C22×C8—21no—
239C22×C8—21no—
240C22×C8—21no—
241C22×C8—21no—
242C22×C8—21no—
243C22×C8—21no—
244C22×C8—21no—
245C22×C8—21no—
246C22×C8—21no—
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×C8C22×C411yescharacteristic
267C22×C8C22×C411yescharacteristic
268C22×C8C22×C411yescharacteristic
269C22×C8C22×C411yescharacteristic
270C22×C8C2×D411yescharacteristic
271C22×C8C2×D411yescharacteristic
272C22×C8C2×D411yescharacteristic
273C22×C8C2×D411yescharacteristic
274#117—21no—
275#117—21no—
276#117—21no—
277#117—21no—
278#117—21no—
279#117—21no—
280#117—21no—
281#117—21no—
282#117—21no—
283#117—21no—
284#117—21no—
285#117—21no—
286#117—21no—
287#117—21no—
288#117—21no—
289#117—21no—
290C2×C4⋊C4C22×C411yescharacteristic
291C2×C4⋊C4C22×C411yescharacteristic
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×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×C42—21no—
311C2×C42—21no—
312C2×C42—21no—
313C2×C42—21no—
314C2×C42—21no—
315C2×C42—21no—
316C2×C42—21no—
317C2×C42—21no—
318C2×C42—21no—
319C2×C42—21no—
320C2×C42—21no—
321C2×C42—21no—
322C2×C42—21no—
323C2×C42—21no—
324C2×C42—44no—
325C2×C42—44no—
326C2×C42—44no—
327C2×C42—42no—
328C2×C42—42no—
329C2×C42—42no—
330C2×C42—44no—
331C2×C42#4112yes—
332C2×C42#4112yes—
333#108—44no—
334#107—41no—
335#107—41no—
336#106—41no—
337#106—41no—
338C4⋊C8—42no—
339C4⋊C8—42no—
340C4⋊C8—42no—
341C4⋊C8—42no—
342C22⋊C8—41no—
343C22⋊C8—41no—
344C22⋊C8—41no—
345C22⋊C8—41no—
346C22⋊C8—41no—
347C22⋊C8—41no—
348C22⋊C8—41no—
349C22⋊C8—41no—
350C22⋊C8—42no—
351C22⋊C8—42no—
352C22⋊C8—42no—
353C22⋊C8—42no—
354#97—42no—
355#97—42no—
356C4×C8—42no—
357C4×C8—42no—
358#95—21no—
359#95—21no—
360#95—21no—
361#95—21no—
362#95—21no—
363#95—21no—
364#95—21no—
365#95—21no—
366C24—21no—
367C24—21no—
368C24—22no—
369C24—22no—
370C24—21no—
371C24—21no—
372C24—21no—
373C24—21no—
374C24—41no—
375C24—41no—
376C24C4×D411yescharacteristic
377C24C4×D411yescharacteristic
378C24C2×#4111yescharacteristic
379C22×C4—22no—
380C22×C4—22no—
381C22×C4—22no—
382C22×C4—22no—
383C22×C4—21no—
384C22×C4—21no—
385C22×C4—22no—
386C22×C4—22no—
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—21no—
412C22×C4—21no—
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—48no—
424C22×C4—48no—
425C22×C4—41no—
426C22×C4—41no—
427C22×C4—41no—
428C22×C4—41no—
429C22×C4—48no—
430C22×C4—48no—
431C22×C4—48no—
432C22×C4—48no—
433C22×C4—48no—
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×C4—41no—
450C22×C4—41no—
451C22×C4—41no—
452C22×C4—41no—
453C22×C4—41no—
454C22×C4C4×D411yescharacteristic
455C22×C4C4×D411yescharacteristic
456C22×C4C23×C411yescharacteristic
457C22×C4C22×D411yescharacteristic
458C22×C4C2×#4111yescharacteristic
459C22×C4C2×#4111yescharacteristic
460C22×C4C2×#4111yescharacteristic
461C22×C4C2×#4111yescharacteristic
462C22×C4H(5,𝔽2)11yescharacteristic
463C22×C4H(5,𝔽2)11yescharacteristic
464C22×C4H(5,𝔽2)11yescharacteristic
465C22×C4H(5,𝔽2)11yescharacteristic
466C22×C4H(5,𝔽2)11yescharacteristic
467C22×C42−1+411yescharacteristic
468C22×C42−1+411yescharacteristic
469C22×C42−1+411yescharacteristic
470M16—22no—
471M16—22no—
472M16—22no—
473M16—22no—
474M16—41no—
475M16—41no—
476M16—41no—
477M16—41no—
478M16—41no—
479M16—41no—
480M16—41no—
481M16—41no—
482M16—41no—
483M16—41no—
484M16—41no—
485M16—41no—
486C2×C8—21no—
487C2×C8—21no—
488C2×C8—21no—
489C2×C8—21no—
490C2×C8—21no—
491C2×C8—21no—
492C2×C8—21no—
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—22no—
504C2×C8—21no—
505C2×C8—22no—
506C2×C8—21no—
507C2×C8—21no—
508C2×C8—21no—
509C2×C8—21no—
510C2×C8—21no—
511C2×C8—21no—
512C2×C8—41no—
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—41no—
536C2×C8—41no—
537C2×C8—41no—
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—
553C4⋊C4—21no—
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—42no—
563C22⋊C4—42no—
564C22⋊C4—42no—
565C22⋊C4—42no—
566C22⋊C4—81no—
567C22⋊C4—81no—
568C22⋊C4—81no—
569C22⋊C4—81no—
570C42—22no—
571C42—22no—
572C42—22no—
573C42—22no—
574C42—48no—
575C42—41no—
576C42—41no—
577C42—41no—
578C42—41no—
579C42—41no—
580C42—41no—
581C42—41no—
582C42—41no—
583C42—41no—
584C42—41no—
585C42—41no—
586C42—41no—
587C23—21no—
588C23—21no—
589C23—21no—
590C23—21no—
591C23—24no—
592C23—24no—
593C23—21no—
594C23—21no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—21no—
599C23—21no—
600C23—21no—
601C23—21no—
602C23—21no—
603C23—21no—
604C23—21no—
605C23—42no—
606C23—42no—
607C23—42no—
608C23—42no—
609C23—42no—
610C23—42no—
611C23—42no—
612C23—42no—
613C23—42no—
614C23—42no—
615C23—41no—
616C23—41no—
617C23—41no—
618C23—41no—
619C23#44312yes—
620C23#44412yes—
621C23C2×C4×D411yescharacteristic
622C23#53811yescharacteristic
623C23#53911yescharacteristic
624C23#55111yescharacteristic
625C23#55111yescharacteristic
626C23#55211yescharacteristic
627C23#55211yescharacteristic
628C2×C4—24no—
629C2×C4—24no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—42no—
637C2×C4—42no—
638C2×C4—42no—
639C2×C4—42no—
640C2×C4—42no—
641C2×C4—42no—
642C2×C4—42no—
643C2×C4—42no—
644C2×C4—42no—
645C2×C4—42no—
646C2×C4—432no—
647C2×C4—42no—
648C2×C4—42no—
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—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—41no—
684C2×C4—41no—
685C2×C4—41no—
686C2×C4—41no—
687C2×C4—41no—
688C2×C4—41no—
689C2×C4—41no—
690C2×C4—41no—
691C2×C4—41no—
692C2×C4—41no—
693C2×C4C4×#4111yescharacteristic
694C2×C4C4×#4111yescharacteristic
695C2×C4#51811yescharacteristic
696C2×C4#52011yescharacteristic
697C2×C4#52011yescharacteristic
698C2×C4#52011yescharacteristic
699C2×C4#53411yescharacteristic
700C2×C4#53711yescharacteristic
701C2×C4#53811yescharacteristic
702C2×C4#53811yescharacteristic
703C2×C4#53811yescharacteristic
704C2×C4#53911yescharacteristic
705C2×C4#54011yescharacteristic
706C2×C4#54211yescharacteristic
707C2×C4#54211yescharacteristic
708C2×C4#54211yescharacteristic
709C2×C4#54611yescharacteristic
710C2×C4#54611yescharacteristic
711C2×C4#54711yescharacteristic
712C2×C4#54711yescharacteristic
713C2×C4#55111yescharacteristic
714C2×C4#55211yescharacteristic
715C2×C4#55311yescharacteristic
716C2×C4#55611yescharacteristic
717C2×C4#56011yescharacteristic
718C2×C4#56311yescharacteristic
719C2×C4#56311yescharacteristic
720C2×C4#56311yescharacteristic
721C8—41no—
722C8—41no—
723C8—41no—
724C8—41no—
725C8—41no—
726C8—41no—
727C8—42no—
728C8—42no—
729C8—41no—
730C8—41no—
731C8—81no—
732C8—81no—
733C22—21no—
734C22—21no—
735C22—21no—
736C22—21no—
737C22—21no—
738C22—21no—
739C22—21no—
740C22—21no—
741C22—21no—
742C22—21no—
743C22—21no—
744C22—21no—
745C22—22no—
746C22—22no—
747C22—22no—
748C22—22no—
749C22—22no—
750C22—22no—
751C22—44no—
752C22—44no—
753C22—44no—
754C22—44no—
755C22—41no—
756C22—41no—
757C22—41no—
758C22—41no—
759C22—41no—
760C22—41no—
761C22—41no—
762C22—41no—
763C22#232511yescharacteristic
764C22#235911yescharacteristic
765C22#235911yescharacteristic
766C22#273511yescharacteristic
767C22#273811yescharacteristic
768C22#274511yescharacteristic
769C22#276511yescharacteristic
770C22C2×#44311yescharacteristic
771C22C2×#44411yescharacteristic
772C22#295611yescharacteristic
773C22#295611yescharacteristic
774C4—44no—
775C4—44no—
776C4—41no—
777C4—41no—
778C4—81no—
779C4—81no—
780C4—81no—
781C4—81no—
782C4—81no—
783C4—81no—
784C4—81no—
785C4—81no—
786C4#233511yescharacteristic
787C4#233711yescharacteristic
788C4#237311yescharacteristic
789C4#238311yescharacteristic
790C4#268811yescharacteristic
791C4#269511yescharacteristic
792C4#271511yescharacteristic
793C4#271711yescharacteristic
794C2—21no—
795C2—21no—
796C2—21no—
797C2—21no—
798C2—42no—
799C2—42no—
800C2#1457611yescharacteristic
801C2#2220411yescharacteristic
802C2#2220711yescharacteristic
803C2#2294811yescharacteristic
804C2#2294811yescharacteristic
805C2#2295011yescharacteristic
806C2#2295011yescharacteristic
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 ◁ C22×C22⋊C8 ◁ G
LECSG ▷ C23×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
4. #11329C2semidirect
5. #11317C2semidirect
6. #11317C2semidirect
7. #11221C2semidirect
9. #10910C2semidirect
10. #10909C2semidirect
11. #10887C2semidirect
12. #10809C2semidirect
29. #2077C4semidirect
30. #2077C4semidirect
31. #2077C4semidirect
32. #2077C4semidirect
33. #2076C4semidirect
34. #2076C4semidirect
35. #2075C4semidirect
36. #2075C4semidirect
95. C2×#107C2×C4semidirect
96. C2×#107C2×C4semidirect
97. C2×#106C2×C4semidirect
98. C2×#106C2×C4semidirect
154. #340C2×C4semidirect
155. #340C2×C4semidirect
156. #340C2×C4semidirect
157. #340C2×C4semidirect
158. #340C2×C4semidirect
159. #340C2×C4semidirect
160. #340C2×C4semidirect
161. #340C2×C4semidirect
162. #340C2×C4semidirect
163. #340C2×C4semidirect
164. #340C2×C4semidirect
165. #340C2×C4semidirect

Maximal subgroups

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

subgroupindex
#236382
#210532
#210502
#113292
#113172
#112212
#110972
#109102
#109092
#108872
#108092
#107192
#107122