Finite Group Databasebeta

← #6797203

Subgroups — #6797203

Order 512.

1647 conjugacy classes of subgroups.

The subgroup lattice has 796 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36182C211yesmaximal, characteristic
2#36151C211yesmaximal, characteristic, complemented
3#33278C211yesmaximal, characteristic, complemented
4#31816C214yesmaximal, complemented
5#31726C214yesmaximal, complemented
6#29842C211yesmaximal, characteristic, complemented
7#29807C211yesmaximal, characteristic, complemented
8#29178C211yesmaximal, characteristic, complemented
9#28613C211yesmaximal, characteristic, complemented
10#27961C211yesmaximal, characteristic, complemented
11#27892C211yesmaximal, characteristic, complemented
12#26721C214yesmaximal, complemented
13#26665C214yesmaximal, complemented
14#25905C211yesmaximal, characteristic, complemented
15#25598C211yesmaximal, characteristic, complemented
16#21860C211yesmaximal, characteristic, complemented
17#21835C211yesmaximal, characteristic, complemented
18C4×#486C211yesmaximal, characteristic, complemented
19#21264C211yesmaximal, characteristic, complemented
20C2×#553—21no—
21C2×#533C2211yescharacteristic
22C2×#533C2211yescharacteristic
23C2×#492C2211yescharacteristic
24C2×#486C2211yescharacteristic
25C2×#486C2211yescharacteristic
26C2×#431C2211yescharacteristic
27C2×#431C2211yescharacteristic
28#2862C2211yescharacteristic
29#2859C2211yescharacteristic
30#2857C2211yescharacteristic
31#2857C2211yescharacteristic
32#2856C2211yescharacteristic
33#2856C2211yescharacteristic
34#2566—21no—
35#2536—21no—
36#2512—21no—
37#2512C2212yes—
38#2504—21no—
39#2500—21no—
40#2489—21no—
41#2489C2212yes—
42#2453—21no—
43#2453C2212yes—
44#2422—21no—
45#2422C2212yes—
46#2421—21no—
47#2421—21no—
48#2416—21no—
49#2416C2212yes—
50#2415—21no—
51#2415C2212yes—
52#2362—21no—
53#2362C2212yes—
54#2361—21no—
55#2361C2212yes—
56#2351—21no—
57C4×C4⋊Q8C2211yescharacteristic
58C4×#127C2211yescharacteristic
59#2285C2211yescharacteristic
60C2×#384C2211yescharacteristic
61C42×D4C2211yescharacteristic
62#2100C2214yes—
63#2086C2214yes—
64#2067C2214yes—
65#2055C2214yes—
66#2055C2214yes—
67#2036C2214yes—
68#2033C2214yes—
69#2025C2214yes—
70#2000C2214yes—
71#2000C2214yes—
72#1990C2211yescharacteristic
73#1990C2211yescharacteristic
74#1990C2211yescharacteristic
75#1990C2211yescharacteristic
76#1990C2211yescharacteristic
77#1990C2211yescharacteristic
78#1989C2214yes—
79#1957C2211yescharacteristic
80#1956C2211yescharacteristic
81#1956C2211yescharacteristic
82#1956C2211yescharacteristic
83#1954C2212yes—
84#1939C2212yes—
85#1934C2214yes—
86#1933C2214yes—
87#1933C2214yes—
88#1928C2214yes—
89#1923C2212yes—
90#1923C2212yes—
91#1918C2214yes—
92#1880C2214yes—
93#1877C2214yes—
94#1875C2214yes—
95#1872C2214yes—
96#1845C2211yescharacteristic
97#1834C2211yescharacteristic
98#1834C2211yescharacteristic
99#1825C2214yes—
100#1824C2214yes—
101#1803C2214yes—
102C4×C4⋊C8C2211yescharacteristic
103C4×#102C2214yes—
104C4×C22⋊C8C2211yescharacteristic
105C4×C22⋊C8C2211yescharacteristic
106C42×C8C2211yescharacteristic
107C22×SD16C2314yes—
108#553—48no—
109#533—24no—
110#533—24no—
111#533—42no—
112#533—42no—
113C2×C4⋊Q8C2311yescharacteristic
114C2×C4⋊Q8C2311yescharacteristic
115C2×C4⋊Q8C2311yescharacteristic
116C2×#127C2311yescharacteristic
117C2×#126—22no—
118C2×#125—21no—
119C2×#125—21no—
120C2×#125C2312yes—
121C2×#123—22no—
122C2×C22⋊Q8—21no—
123C2×C22⋊Q8—21no—
124C2×C22⋊Q8—21no—
125C2×C22⋊Q8—21no—
126C2×C22⋊Q8C2312yes—
127C2×C22⋊Q8C2312yes—
128C2×#121—22no—
129C2×#121—21no—
130C2×#121—21no—
131C2×#121—21no—
132C2×#121—21no—
133C2×#121C2312yes—
134C2×#121C2312yes—
135C2×C4×Q8—21no—
136C2×C4×Q8—21no—
137C2×C4×Q8—21no—
138C2×C4×Q8—21no—
139C2×C4×Q8C2312yes—
140C2×C4×D4—22no—
141C2×C4×D4—21no—
142C2×C4×D4—21no—
143C2×C4×D4D411yescharacteristic
144C2×C4×D4D411yescharacteristic
145C2×C4×D4C2312yes—
146C2×C4×D4C2311yescharacteristic
147C2×#117—21no—
148C2×#117—21no—
149C2×#117C2312yes—
150C22×C4⋊C4—21no—
151C22×C4⋊C4—21no—
152C22×C4⋊C4C2312yes—
153C22×C42C2311yescharacteristic
154C22×C42C2311yescharacteristic
155#492—42no—
156#486—24no—
157#486—42no—
158#431—42no—
159#431—42no—
160C2×#107C2314yes—
161C2×C4⋊C8C2312yes—
162C2×C4⋊C8C2312yes—
163C2×C4⋊C8C2312yes—
164C2×#103C2314yes—
165C2×#103C2314yes—
166C2×#103C2314yes—
167C2×#102C2314yes—
168C2×#102C2314yes—
169C2×#102C2314yes—
170C2×C22⋊C8C2312yes—
171C2×C22⋊C8C2312yes—
172C2×C22⋊C8C2312yes—
173C2×C22⋊C8C2312yes—
174C2×C4×C8C2311yescharacteristic
175C2×C4×C8C2311yescharacteristic
176C2×C4×C8C2311yescharacteristic
177C2×C4×C8C2311yescharacteristic
178C2×C4×C8C2312yes—
179C2×C4×C8C2312yes—
180#400—22no—
181#400—22no—
182#398—22no—
183#397—22no—
184#397—22no—
185#397—22no—
186#397—22no—
187#396—22no—
188#396—22no—
189#394—22no—
190#394—22no—
191#394—22no—
192#391—21no—
193#391—21no—
194#391—21no—
195#391—21no—
196#391C2312yes—
197#391C2312yes—
198#391C2312yes—
199#390—21no—
200#390—21no—
201#390—21no—
202#390—21no—
203#390—21no—
204#390—21no—
205#390C2312yes—
206#390C2312yes—
207#390C2312yes—
208#389—22no—
209#389—22no—
210#389—21no—
211#389—21no—
212#389—21no—
213#389—21no—
214#389—21no—
215#389—21no—
216#389C2312yes—
217#389C2312yes—
218#389C2312yes—
219#389C2312yes—
220#388—22no—
221#388—22no—
222#388—22no—
223#388—22no—
224#388—22no—
225#388—22no—
226#387—22no—
227#387—22no—
228#386—22no—
229#386—22no—
230#385—22no—
231#385—22no—
232#384—21no—
233#384—21no—
234#384C2311yescharacteristic
235#384C2311yescharacteristic
236#384C2312yes—
237#384C2311yescharacteristic
238#384C2311yescharacteristic
239#382—21no—
240#382—21no—
241#382—21no—
242#382—21no—
243#382—22no—
244#380—21no—
245#380—21no—
246#380—21no—
247#380—21no—
248#380C2312yes—
249#380C2312yes—
250C4×C4⋊C4—21no—
251C4×C4⋊C4—21no—
252C4×C4⋊C4—22no—
253C4×C4⋊C4D411yescharacteristic
254C4×C4⋊C4D411yescharacteristic
255C4×C4⋊C4C2312yes—
256C4×C4⋊C4C2312yes—
257C4×C4⋊C4C2311yescharacteristic
258C4×C22⋊C4D411yescharacteristic
259C4×C22⋊C4D411yescharacteristic
260C4×C22⋊C4D411yescharacteristic
261C4×C22⋊C4D411yescharacteristic
262C4×C22⋊C4C2311yescharacteristic
263C4×C22⋊C4C2311yescharacteristic
264C43C2311yescharacteristic
265#340C2314yes—
266#340C2314yes—
267#340C2314yes—
268#340C2314yes—
269#340C2314yes—
270#340C2314yes—
271#340C2314yes—
272#340C2314yes—
273#336C2312yes—
274#336C2312yes—
275#336C2312yes—
276C22×Q8—21no—
277C22×Q8—21no—
278C22×Q8C2412yes—
279C22×D4—22no—
280C22×D4—22no—
281C22×D4—21no—
282C22×D4—21no—
283C22×D4C2×D411yescharacteristic
284C22×D4C2412yes—
285C23×C4—22no—
286C23×C4—22no—
287C23×C4C2×D411yescharacteristic
288C23×C4C2×D411yescharacteristic
289C23×C4C2×D411yescharacteristic
290C23×C4C2×D411yescharacteristic
291C23×C4C2411yescharacteristic
292C23×C4C2411yescharacteristic
293C2×SD16—44no—
294C2×SD16—44no—
295C2×SD16—44no—
296C22×C8C2412yes—
297C22×C8C2412yes—
298C22×C8C2412yes—
299C22×C8C2412yes—
300C4⋊Q8—22no—
301C4⋊Q8—22no—
302C4⋊Q8—22no—
303C4⋊Q8—22no—
304C4⋊Q8—22no—
305C4⋊Q8#4114yes—
306#127—22no—
307#127—22no—
308#126—48no—
309#125—24no—
310#125—42no—
311#125—44no—
312#125—44no—
313#123—48no—
314C22⋊Q8—24no—
315C22⋊Q8—44no—
316C22⋊Q8—42no—
317C22⋊Q8—44no—
318C22⋊Q8—44no—
319C22⋊Q8—44no—
320C22⋊Q8—44no—
321#121—44no—
322#121—44no—
323#121—44no—
324#121—48no—
325#121—44no—
326#121—44no—
327#121—82no—
328C4×Q8—24no—
329C4×Q8—42no—
330C4×Q8—44no—
331C4×Q8—44no—
332C4×Q8—44no—
333C4×Q8—44no—
334C4×D4—24no—
335C4×D4—24no—
336C4×D4—42no—
337C4×D4—44no—
338C4×D4—48no—
339C4×D4—44no—
340C4×D4—82no—
341#117—24no—
342#117—42no—
343#117—44no—
344#117—44no—
345C2×C4⋊C4—21no—
346C2×C4⋊C4—21no—
347C2×C4⋊C4—21no—
348C2×C4⋊C4—21no—
349C2×C4⋊C4—21no—
350C2×C4⋊C4—22no—
351C2×C4⋊C4—21no—
352C2×C4⋊C4—21no—
353C2×C4⋊C4—22no—
354C2×C4⋊C4—22no—
355C2×C4⋊C4—22no—
356C2×C4⋊C4—21no—
357C2×C4⋊C4—21no—
358C2×C4⋊C4—22no—
359C2×C4⋊C4—21no—
360C2×C4⋊C4—22no—
361C2×C4⋊C4—22no—
362C2×C4⋊C4—22no—
363C2×C4⋊C4—21no—
364C2×C4⋊C4—21no—
365C2×C4⋊C4—22no—
366C2×C4⋊C4—22no—
367C2×C4⋊C4—22no—
368C2×C4⋊C4—22no—
369C2×C4⋊C4—44no—
370C2×C4⋊C4—44no—
371C2×C4⋊C4—82no—
372C2×C4⋊C4C2×D411yescharacteristic
373C2×C4⋊C4C2×D411yescharacteristic
374C2×C4⋊C4C2×D411yescharacteristic
375C2×C4⋊C4C2412yes—
376C2×C4⋊C4C2412yes—
377C2×C4⋊C4C2412yes—
378C2×C4⋊C4C2412yes—
379C2×C4⋊C4C2412yes—
380C2×C4⋊C4C2412yes—
381C2×C22⋊C4—22no—
382C2×C22⋊C4—22no—
383C2×C22⋊C4—22no—
384C2×C22⋊C4—22no—
385C2×C22⋊C4—22no—
386C2×C22⋊C4—22no—
387C2×C22⋊C4—22no—
388C2×C22⋊C4—22no—
389C2×C22⋊C4—22no—
390C2×C22⋊C4—22no—
391C2×C22⋊C4—22no—
392C2×C22⋊C4—22no—
393C2×C22⋊C4—22no—
394C2×C22⋊C4—22no—
395C2×C22⋊C4C2×D411yescharacteristic
396C2×C22⋊C4C2×D411yescharacteristic
397C2×C22⋊C4C2×D411yescharacteristic
398C2×C22⋊C4C2×D411yescharacteristic
399C2×C22⋊C4C2×D411yescharacteristic
400C2×C22⋊C4C2×D411yescharacteristic
401C2×C42—22no—
402C2×C42—22no—
403C2×C42—22no—
404C2×C42—22no—
405C2×C42—22no—
406C2×C42—22no—
407C2×C42—22no—
408C2×C42—22no—
409C2×C42C2×D411yescharacteristic
410C2×C42C2×D411yescharacteristic
411C2×C42C2×D411yescharacteristic
412C2×C42C2×D411yescharacteristic
413C2×C42C2×D411yescharacteristic
414C2×C42C2×D411yescharacteristic
415C2×C42C2×D411yescharacteristic
416C2×C42C2×D411yescharacteristic
417C2×C42C2411yescharacteristic
418C2×C42C2411yescharacteristic
419C2×C42C2411yescharacteristic
420C2×C42C2411yescharacteristic
421C2×C42C2411yescharacteristic
422#107—44no—
423C4⋊C8—42no—
424C4⋊C8—42no—
425C4⋊C8—42no—
426#103—44no—
427#103—44no—
428#103—44no—
429#102—28no—
430#102—44no—
431#102—44no—
432C22⋊C8—42no—
433C22⋊C8—42no—
434C22⋊C8—42no—
435C22⋊C8—42no—
436C4×C8—22no—
437C4×C8—22no—
438C4×C8—22no—
439C4×C8—22no—
440C4×C8—42no—
441C4×C8—42no—
442#95—22no—
443#95—22no—
444#95—22no—
445#95—22no—
446#95—22no—
447#95—22no—
448#95—22no—
449#95—22no—
450#95—22no—
451#95—22no—
452#95—22no—
453#95—22no—
454#95—22no—
455#95—22no—
456#95C2×D411yescharacteristic
457#95C2×D411yescharacteristic
458#95C2×D411yescharacteristic
459#95C2×D411yescharacteristic
460#95C2×D411yescharacteristic
461#95C2×D411yescharacteristic
462C24—22no—
463C24C22×D411yescharacteristic
464C24C22×D411yescharacteristic
465C2×Q8—24no—
466C2×Q8—22no—
467C2×Q8—22no—
468C2×Q8—24no—
469C2×Q8—24no—
470C2×Q8—42no—
471C2×Q8—42no—
472C2×Q8—42no—
473C2×Q8—42no—
474C2×Q8—42no—
475C2×D4—22no—
476C2×D4—22no—
477C2×D4—22no—
478C2×D4—22no—
479C2×D4—24no—
480C2×D4—24no—
481C2×D4—41no—
482C2×D4—44no—
483C2×D4—44no—
484C2×D4—44no—
485C2×D4—44no—
486C2×D4—42no—
487C2×D4—42no—
488C2×D4—42no—
489C2×D4—42no—
490C2×D4—42no—
491C2×D4—42no—
492C2×D4—82no—
493C2×D4—82no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—21no—
507C22×C4—21no—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—22no—
511C22×C4—22no—
512C22×C4—22no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—22no—
516C22×C4—22no—
517C22×C4—22no—
518C22×C4—22no—
519C22×C4—22no—
520C22×C4—44no—
521C22×C4—44no—
522C22×C4—82no—
523C22×C4—82no—
524C22×C4—82no—
525C22×C4—82no—
526C22×C4#13514yes—
527C22×C4C22×D411yescharacteristic
528C22×C4C22×D411yescharacteristic
529C22×C4C22×D411yescharacteristic
530C22×C4C22×D411yescharacteristic
531C22×C4C22×D411yescharacteristic
532C22×C4C22×D411yescharacteristic
533C22×C4C22×D411yescharacteristic
534C22×C4C22×D411yescharacteristic
535C22×C4C22×D411yescharacteristic
536C22×C4C22×D411yescharacteristic
537C22×C4C22×D411yescharacteristic
538C22×C4C22×D411yescharacteristic
539C22×C4C2511yescharacteristic
540SD16—88no—
541C2×C8—22no—
542C2×C8—22no—
543C2×C8—22no—
544C2×C8—22no—
545C2×C8—22no—
546C2×C8—22no—
547C2×C8—22no—
548C2×C8—22no—
549C2×C8—22no—
550C2×C8—22no—
551C2×C8—22no—
552C2×C8—22no—
553C4⋊C4—24no—
554C4⋊C4—22no—
555C4⋊C4—22no—
556C4⋊C4—22no—
557C4⋊C4—22no—
558C4⋊C4—22no—
559C4⋊C4—24no—
560C4⋊C4—24no—
561C4⋊C4—24no—
562C4⋊C4—24no—
563C4⋊C4—41no—
564C4⋊C4—44no—
565C4⋊C4—44no—
566C4⋊C4—44no—
567C4⋊C4—44no—
568C4⋊C4—44no—
569C4⋊C4—44no—
570C4⋊C4—42no—
571C4⋊C4—42no—
572C4⋊C4—42no—
573C4⋊C4—42no—
574C4⋊C4—42no—
575C4⋊C4—44no—
576C4⋊C4—42no—
577C4⋊C4—42no—
578C4⋊C4—42no—
579C4⋊C4—44no—
580C4⋊C4—44no—
581C4⋊C4—42no—
582C4⋊C4—44no—
583C4⋊C4—42no—
584C4⋊C4—42no—
585C4⋊C4—82no—
586C4⋊C4—82no—
587C4⋊C4C2×#4114yes—
588C22⋊C4—22no—
589C22⋊C4—22no—
590C22⋊C4—22no—
591C22⋊C4—22no—
592C22⋊C4—41no—
593C22⋊C4—41no—
594C22⋊C4—44no—
595C22⋊C4—44no—
596C22⋊C4—44no—
597C22⋊C4—44no—
598C22⋊C4—44no—
599C22⋊C4—44no—
600C22⋊C4—44no—
601C22⋊C4—44no—
602C22⋊C4—44no—
603C22⋊C4—44no—
604C22⋊C4—82no—
605C22⋊C4—82no—
606C22⋊C4—82no—
607C22⋊C4—82no—
608C42—22no—
609C42—22no—
610C42—22no—
611C42—22no—
612C42—22no—
613C42—22no—
614C42—22no—
615C42—21no—
616C42—21no—
617C42—21no—
618C42—21no—
619C42—22no—
620C42—22no—
621C42—44no—
622C42—44no—
623C42—44no—
624C42—44no—
625C42AGL(1,ℤ/8)14yes—
626C42C2×#4112yes—
627C42H(5,𝔽2)12yes—
628C23—21no—
629C23—21no—
630C23—21no—
631C23—21no—
632C23—21no—
633C23—21no—
634C23—21no—
635C23—21no—
636C23—21no—
637C23—21no—
638C23—21no—
639C23—21no—
640C23—21no—
641C23—42no—
642C23—42no—
643C23—42no—
644C23—42no—
645C23—42no—
646C23—42no—
647C23—42no—
648C23C2×#13512yes—
649C23C23×D411yescharacteristic
650Q8—48no—
651Q8—44no—
652Q8—44no—
653Q8—84no—
654D4—44no—
655D4—44no—
656D4—44no—
657D4—88no—
658D4—84no—
659D4—84no—
660D4—164no—
661C2×C4—21no—
662C2×C4—21no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—21no—
666C2×C4—21no—
667C2×C4—28no—
668C2×C4—21no—
669C2×C4—21no—
670C2×C4—21no—
671C2×C4—21no—
672C2×C4—21no—
673C2×C4—21no—
674C2×C4—21no—
675C2×C4—21no—
676C2×C4—24no—
677C2×C4—21no—
678C2×C4—21no—
679C2×C4—21no—
680C2×C4—21no—
681C2×C4—21no—
682C2×C4—21no—
683C2×C4—21no—
684C2×C4—21no—
685C2×C4—21no—
686C2×C4—21no—
687C2×C4—21no—
688C2×C4—21no—
689C2×C4—21no—
690C2×C4—42no—
691C2×C4—42no—
692C2×C4—44no—
693C2×C4—44no—
694C2×C4—42no—
695C2×C4—42no—
696C2×C4—42no—
697C2×C4—42no—
698C2×C4—44no—
699C2×C4—42no—
700C2×C4—42no—
701C2×C4—42no—
702C2×C4—42no—
703C2×C4—42no—
704C2×C4—42no—
705C2×C4—42no—
706C2×C4—42no—
707C2×C4—42no—
708C2×C4—42no—
709C2×C4—42no—
710C2×C4—42no—
711C2×C4—42no—
712C2×C4—42no—
713C2×C4—42no—
714C2×C4—42no—
715C2×C4—42no—
716C2×C4—42no—
717C2×C4—164no—
718C2×C4—164no—
719C2×C4#54612yes—
720C2×C4#54612yes—
721C2×C4C2×#13512yes—
722C2×C4C2×#13512yes—
723C2×C4C2×AGL(1,ℤ/8)12yes—
724C2×C4C2×AGL(1,ℤ/8)12yes—
725C2×C4C2×AGL(1,ℤ/8)12yes—
726C2×C4#57712yes—
727C2×C4#57812yes—
728C2×C4C22×#4111yescharacteristic
729C2×C4C2×H(5,𝔽2)11yescharacteristic
730C2×C4#58512yes—
731C2×C4#58512yes—
732C8—42no—
733C8—42no—
734C8—42no—
735C8—42no—
736C22—22no—
737C22—22no—
738C22—22no—
739C22—41no—
740C22—41no—
741C22—41no—
742C22—41no—
743C22—41no—
744C22—41no—
745C22—41no—
746C22—41no—
747C22—41no—
748C22—41no—
749C22—41no—
750C22—82no—
751C22—82no—
752C22—82no—
753C22—82no—
754C22—82no—
755C22—82no—
756C22—82no—
757C22#344911yescharacteristic
758C22C2×#54611yescharacteristic
759C22#350011yescharacteristic
760C22C22×#13511yescharacteristic
761C22C22×AGL(1,ℤ/8)11yescharacteristic
762C22C2×#57711yescharacteristic
763C22C2×#57811yescharacteristic
764C4—22no—
765C4—22no—
766C4—22no—
767C4—41no—
768C4—41no—
769C4—41no—
770C4—41no—
771C4—41no—
772C4—41no—
773C4—41no—
774C4—44no—
775C4—82no—
776C4—82no—
777C4—82no—
778C4—82no—
779C4—82no—
780C4—82no—
781C4#330114yes—
782C4#333014yes—
783C4#352412yes—
784C4#355112yes—
785C2—42no—
786C2—81no—
787C2—162no—
788C2#3894811yescharacteristic
789C2#6094611yescharacteristic
790C2#6100811yescharacteristic
791C2C2×#330111yescharacteristic
792C2C2×#333011yescharacteristic
793C2#6252811yescharacteristic
794C2#6253911yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#36182C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C42×D4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
2. #36151C2semidirect
3. #33278C2semidirect
4. #31816C2semidirect
5. #31726C2semidirect
6. #29842C2semidirect
7. #29807C2semidirect
8. #29178C2semidirect
9. #28613C2semidirect
10. #27961C2semidirect
11. #27892C2semidirect
12. #26721C2semidirect
13. #26665C2semidirect
14. #25905C2semidirect
15. #25598C2semidirect
16. #21860C2semidirect
17. #21835C2semidirect
18. C4×#486C2semidirect
19. #21264C2semidirect

Maximal subgroups

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

subgroupindex
#361822
#361512
#332782
#318162
#317262
#298422
#298072
#291782
#286132
#279612
#278922
#267212
#266652
#259052
#255982
#218602
#218352
C4×#4862
#212642