Finite Group Databasebeta

← #6684964

Subgroups — #6684964

Order 512.

2119 conjugacy classes of subgroups.

The subgroup lattice has 1570 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3221C211yesmaximal, characteristic, complemented
2C2×#3136C211yesmaximal, characteristic, complemented
3#39426C211yesmaximal, characteristic, complemented
4#39357C211yesmaximal, characteristic, complemented
5#33178C211yesmaximal, characteristic, complemented
6#30902C211yesmaximal, characteristic, complemented
7#30891C211yesmaximal, characteristic, complemented
8#30886C211yesmaximal, characteristic, complemented
9#30875C211yesmaximal, characteristic, complemented
10#30549C211yesmaximal, characteristic, complemented
11#30538C211yesmaximal, characteristic, complemented
12#30529C211yesmaximal, characteristic, complemented
13#30526C211yesmaximal, characteristic, complemented
14#30260C211yesmaximal, characteristic, complemented
15#29847C211yesmaximal, characteristic, complemented
16#28757C211yesmaximal, characteristic, complemented
17#28621C211yesmaximal, characteristic, complemented
18#25914C211yesmaximal, characteristic, complemented
19#25866C211yesmaximal, characteristic, complemented
20#25734C211yesmaximal, characteristic, complemented
21#25608C211yesmaximal, characteristic, complemented
22#25101C211yesmaximal, characteristic, complemented
23#25094C211yesmaximal, characteristic, complemented
24#25088C211yesmaximal, characteristic, complemented
25#25083C211yesmaximal, characteristic, complemented
26#24450C211yesmaximal, characteristic, complemented
27#24441C211yesmaximal, characteristic, complemented
28#24434C211yesmaximal, characteristic, complemented
29#24425C211yesmaximal, characteristic, complemented
30#22222C211yesmaximal, characteristic, complemented
31#21110C211yesmaximal, characteristic, complemented
32C2×#548C2211yescharacteristic
33C2×#546C2211yescharacteristic
34C2×#544C2211yescharacteristic
35C2×#540C2211yescharacteristic, complemented
36C2×#536C2211yescharacteristic
37C2×#535C2211yescharacteristic
38#3221—28no—
39C2×#496C2211yescharacteristic
40C2×#493C2211yescharacteristic
41C2×#492C2211yescharacteristic, complemented
42#3136—28no—
43C2×#491C2211yescharacteristic, complemented
44C2×#490C2211yescharacteristic
45C2×#490C2211yescharacteristic
46C2×#489C2211yescharacteristic
47C2×#489C2211yescharacteristic
48C2×#488C2211yescharacteristic
49C2×#488C2211yescharacteristic
50C2×#487C2211yescharacteristic, complemented
51C2×#486C2211yescharacteristic
52C2×#486C2211yescharacteristic
53C2×#468C2211yescharacteristic
54C2×#468C2211yescharacteristic
55C2×#465C2211yescharacteristic
56C2×#465C2211yescharacteristic
57C2×#463C2211yescharacteristic
58C2×#463C2211yescharacteristic
59C2×#461C2211yescharacteristic, complemented
60C2×#461C2211yescharacteristic, complemented
61C2×#449C2211yescharacteristic
62C2×#449C2211yescharacteristic
63C2×#449C2211yescharacteristic
64C2×#449C2211yescharacteristic
65C2×#448C2211yescharacteristic, complemented
66C2×#448C2211yescharacteristic, complemented
67C2×#447C2211yescharacteristic
68C2×#447C2211yescharacteristic
69C2×#433C2211yescharacteristic, complemented
70C2×#417C2211yescharacteristic
71C2×#418C2211yescharacteristic
72C2×#416C2211yescharacteristic
73C22×#102C2211yescharacteristic
74C2×#405C2211yescharacteristic
75#2858C2211yescharacteristic
76#2858C2211yescharacteristic, complemented
77#2711—21no—
78#2696—21no—
79#2681—21no—
80#2681—21no—
81#2678—21no—
82#2678—21no—
83#2676—21no—
84#2674—21no—
85#2628C2211yescharacteristic, complemented
86#2621C2211yescharacteristic
87#2619C2211yescharacteristic
88#2619C2211yescharacteristic
89#2558—21no—
90#2545C2211yescharacteristic
91#2544C2211yescharacteristic
92#2540—21no—
93#2491—21no—
94#2491C2211yescharacteristic, complemented
95#2490C2211yescharacteristic, complemented
96#2472—21no—
97#2472—21no—
98#2464—21no—
99#2464—21no—
100#2461—21no—
101#2454C2211yescharacteristic, complemented
102#2452C2211yescharacteristic, complemented
103#2436C2211yescharacteristic
104#2435C2211yescharacteristic
105#2432C2211yescharacteristic
106#2431C2211yescharacteristic
107#2416C2211yescharacteristic
108#2414C2211yescharacteristic
109#2363C2211yescharacteristic
110#2361C2211yescharacteristic
111C4×#125C2211yescharacteristic, complemented
112C4×#124C2211yescharacteristic
113#2293C2211yescharacteristic
114#2067C2211yescharacteristic
115#2067C2211yescharacteristic, complemented
116#2065C2211yescharacteristic
117#2065C2211yescharacteristic, complemented
118#2055C2211yescharacteristic, complemented
119#2055C2211yescharacteristic, complemented
120#2054C2211yescharacteristic
121#2054C2211yescharacteristic
122#2043C2211yescharacteristic, complemented
123#2043C2211yescharacteristic, complemented
124#2042C2211yescharacteristic
125#2042C2211yescharacteristic
126#2042C2211yescharacteristic
127#2042C2211yescharacteristic
128#2042C2211yescharacteristic, complemented
129#2042C2211yescharacteristic, complemented
130#2034C2211yescharacteristic
131#2034C2211yescharacteristic, complemented
132#2033C2211yescharacteristic
133#2033C2211yescharacteristic, complemented
134#2026C2211yescharacteristic, complemented
135#2026C2211yescharacteristic, complemented
136#2024C2211yescharacteristic, complemented
137#2024C2211yescharacteristic, complemented
138#2012C2211yescharacteristic
139#2012C2211yescharacteristic
140#2012C2211yescharacteristic
141#2012C2211yescharacteristic
142#2012C2211yescharacteristic
143#2012C2211yescharacteristic
144#2012C2211yescharacteristic, complemented
145#2012C2211yescharacteristic, complemented
146#2012C2211yescharacteristic, complemented
147#2012C2211yescharacteristic, complemented
148#2011C2211yescharacteristic
149#2011C2211yescharacteristic
150#1999C2211yescharacteristic
151#1999C2211yescharacteristic
152#1999C2211yescharacteristic, complemented
153#1999C2211yescharacteristic, complemented
154#1993C2211yescharacteristic, complemented
155#1991C2211yescharacteristic, complemented
156#1983C2211yescharacteristic
157#1983C2211yescharacteristic
158#1983C2211yescharacteristic, complemented
159#1983C2211yescharacteristic, complemented
160#1973C2211yescharacteristic, complemented
161#1973C2211yescharacteristic, complemented
162#1968C2211yescharacteristic, complemented
163#1968C2211yescharacteristic, complemented
164#1961C2211yescharacteristic
165#1961C2211yescharacteristic, complemented
166#1960C2211yescharacteristic, complemented
167#1958C2211yescharacteristic
168#1928C2211yescharacteristic, complemented
169#1927C2211yescharacteristic, complemented
170#1926C2211yescharacteristic
171#1925C2211yescharacteristic
172#1924C2211yescharacteristic, complemented
173#1923C2211yescharacteristic, complemented
174#1917C2211yescharacteristic, complemented
175#1916C2211yescharacteristic, complemented
176#1880C2211yescharacteristic, complemented
177#1880C2211yescharacteristic, complemented
178#1879C2211yescharacteristic
179#1879C2211yescharacteristic
180#1879C2211yescharacteristic
181#1879C2211yescharacteristic
182#1879C2211yescharacteristic, complemented
183#1879C2211yescharacteristic, complemented
184#1873C2211yescharacteristic
185#1873C2211yescharacteristic
186#1872C2211yescharacteristic
187#1872C2211yescharacteristic
188#1870C2211yescharacteristic
189#1869C2211yescharacteristic
190#1865C2211yescharacteristic, complemented
191#1864C2211yescharacteristic
192#1863C2211yescharacteristic, complemented
193#1862C2211yescharacteristic
194#1851C2211yescharacteristic
195#1850C2211yescharacteristic
196#1846C2211yescharacteristic, complemented
197#1788C2211yescharacteristic
198#1788C2211yescharacteristic
199#1787C2211yescharacteristic, complemented
200#1787C2211yescharacteristic, complemented
201#1767C2211yescharacteristic, complemented
202#1750C2211yescharacteristic
203#1750C2211yescharacteristic, complemented
204#1744C2211yescharacteristic, complemented
205C22×#41C2311yescharacteristic
206C22×#41C2311yescharacteristic
207C23×Q8C2311yescharacteristic
208C23×D4C2311yescharacteristic
209C22×SD16C2311yescharacteristic
210C22×SD16C2311yescharacteristic
211C22×SD16C2311yescharacteristic
212C22×SD16C2311yescharacteristic
213C22×SD16C2311yescharacteristic
214C22×SD16C2311yescharacteristic
215C22×D8C2311yescharacteristic
216C22×D8C2311yescharacteristic
217C22×D8C2311yescharacteristic
218C22×D8C2311yescharacteristic
219C22×D8C2311yescharacteristic
220C22×D8C2311yescharacteristic
221C22×M16C2311yescharacteristic
222C23×C8C2311yescharacteristic
223#548—42no—
224#548—42no—
225#546—42no—
226#546—42no—
227#544—24no—
228#544—42no—
229#540—24no—
230#540—42no—
231#536—24no—
232#536—42no—
233#535—24no—
234#535—42no—
235C2×C4⋊Q8—21no—
236C2×C4⋊Q8C2311yescharacteristic
237C2×C4⋊Q8C2311yescharacteristic
238C2×C4⋊Q8C2311yescharacteristic
239C2×C4⋊Q8C2311yescharacteristic
240C2×#127C2311yescharacteristic
241C2×#127C2311yescharacteristic
242C2×#127C2311yescharacteristic
243C2×#125—21no—
244C2×#125C2311yescharacteristic
245C2×#125C2311yescharacteristic
246C2×#124—21no—
247C2×#124—21no—
248C2×#124—21no—
249C2×#124—21no—
250C2×#124C2311yescharacteristic
251C2×#124C2311yescharacteristic
252C2×#124C2311yescharacteristic
253C2×#124C2311yescharacteristic
254C2×#124C2311yescharacteristic
255C2×#124C2311yescharacteristic
256C2×#124C2311yescharacteristic
257C2×#123—21no—
258C2×#123—21no—
259C2×#123—21no—
260C2×#123—21no—
261C2×#123—21no—
262C2×C22⋊Q8—21no—
263C2×C22⋊Q8—21no—
264C2×C22⋊Q8—21no—
265C2×C22⋊Q8—21no—
266C2×C22⋊Q8—21no—
267C2×C22⋊Q8—21no—
268C2×C22⋊Q8C2311yescharacteristic
269C2×C22⋊Q8C2311yescharacteristic
270C2×#121—21no—
271C2×#121—21no—
272C2×#121—21no—
273C2×#121—21no—
274C2×#121—21no—
275C2×#121—21no—
276C2×#121—21no—
277C2×#121C2311yescharacteristic
278C2×#121C2311yescharacteristic
279C2×#121C2311yescharacteristic
280C2×#121C2311yescharacteristic
281C2×#121C2311yescharacteristic
282C2×#121C2311yescharacteristic
283C2×#120—21no—
284C2×#120—21no—
285C2×#120—21no—
286C2×C4×Q8C2311yescharacteristic
287C2×C4×D4—21no—
288C2×C4×D4—21no—
289C2×C4×D4C2311yescharacteristic
290C2×C4×D4C2311yescharacteristic
291C2×C4×D4C2311yescharacteristic
292C2×C4×D4C2311yescharacteristic
293C2×#117C2311yescharacteristic
294C2×#117C2311yescharacteristic
295C2×#117C2311yescharacteristic
296C22×C4⋊C4C2311yescharacteristic
297C22×C22⋊C4—21no—
298#496—24no—
299#493—42no—
300#492—24no—
301#491—24no—
302#490—24no—
303#490—24no—
304#489—24no—
305#489—24no—
306#488—24no—
307#488D418yescomplemented
308#487—42no—
309#486—24no—
310#486—24no—
311#468—42no—
312#468—42no—
313#465—42no—
314#465—42no—
315#463—24no—
316#463—24no—
317#461—24no—
318#461—24no—
319#449—24no—
320#449—24no—
321#449—42no—
322#449—42no—
323#448—24no—
324#448—24no—
325#447—42no—
326#447—42no—
327#433—24no—
328C2×#107C2311yescharacteristic
329C2×#107C2311yescharacteristic
330C2×#106C2311yescharacteristic
331C2×#106C2311yescharacteristic
332C2×C4⋊C8C2311yescharacteristic
333C2×C4⋊C8C2311yescharacteristic
334C2×C4⋊C8C2311yescharacteristic
335C2×C4⋊C8C2311yescharacteristic
336#418—24no—
337#417—24no—
338#416—24no—
339C2×#103C2311yescharacteristic
340C2×#103C2311yescharacteristic
341C2×#103C2311yescharacteristic
342C2×#103C2311yescharacteristic
343C2×#103C2311yescharacteristic
344C2×#103C2311yescharacteristic
345C2×#103C2311yescharacteristic
346C2×#103C2311yescharacteristic
347C2×#103C2311yescharacteristic
348C2×#103C2311yescharacteristic
349C2×#103C2311yescharacteristic
350C2×#103C2311yescharacteristic
351C2×#103C2311yescharacteristic
352C2×#103C2311yescharacteristic
353C2×#103C2311yescharacteristic
354C2×#103C2311yescharacteristic
355C2×#103C2311yescharacteristic
356C2×#103C2311yescharacteristic
357C2×#102—24no—
358C2×#102C2311yescharacteristic
359C2×#102C2311yescharacteristic
360C2×#102C2311yescharacteristic
361C2×#102C2311yescharacteristic
362C2×#102C2311yescharacteristic
363C2×#102C2311yescharacteristic
364C2×#102C2311yescharacteristic
365C2×#102C2311yescharacteristic
366C2×#102C2311yescharacteristic
367C2×#102C2311yescharacteristic
368C2×#102C2311yescharacteristic
369C2×#102C2311yescharacteristic
370C2×#102C2311yescharacteristic
371C2×#102C2311yescharacteristic
372C2×#102C2311yescharacteristic
373C2×#102C2311yescharacteristic
374C2×#102C2311yescharacteristic
375C2×#102C2311yescharacteristic
376C2×#102C2311yescharacteristic
377C2×#102C2311yescharacteristic
378C2×#102C2311yescharacteristic
379C2×#102C2311yescharacteristic
380C2×C22⋊C8C2311yescharacteristic
381C2×C22⋊C8C2311yescharacteristic
382C2×C22⋊C8C2311yescharacteristic
383C2×C22⋊C8C2311yescharacteristic
384C2×C22⋊C8C2311yescharacteristic
385C2×C22⋊C8C2311yescharacteristic
386#405—24no—
387C2×#97C2311yescharacteristic
388C2×#97C2311yescharacteristic
389C2×#97C2311yescharacteristic
390C2×C4×C8C2311yescharacteristic
391C2×C4×C8C2311yescharacteristic
392C2×C4×C8C2311yescharacteristic
393#400—21no—
394#399—21no—
395#399—21no—
396#398—21no—
397#398—21no—
398#397—21no—
399#397—21no—
400#397—21no—
401#396—21no—
402#396—21no—
403#396—21no—
404#396—21no—
405#396—21no—
406#395—21no—
407#394—21no—
408#394—21no—
409#394—21no—
410#394—21no—
411#394—21no—
412#394—21no—
413#394—21no—
414#394—21no—
415#394—21no—
416#394—21no—
417#394—21no—
418#394—21no—
419#394—21no—
420#394—21no—
421#393—21no—
422#393—21no—
423#393—21no—
424#393—21no—
425#393—21no—
426#392—21no—
427#392—21no—
428#392—21no—
429#392—21no—
430#392—21no—
431#392—21no—
432#392—21no—
433#391C2311yescharacteristic
434#391C2311yescharacteristic
435#391C2311yescharacteristic
436#390—21no—
437#390—21no—
438#390—21no—
439#390—21no—
440#390—21no—
441#390—21no—
442#390—21no—
443#390—21no—
444#390—21no—
445#390D411yescharacteristic
446#390D411yescharacteristic
447#390C2311yescharacteristic
448#390C2311yescharacteristic
449#390C2311yescharacteristic
450#390C2311yescharacteristic
451#390C2311yescharacteristic
452#390C2311yescharacteristic
453#390C2311yescharacteristic
454#390C2311yescharacteristic
455#390C2311yescharacteristic
456#389D411yescharacteristic
457#389D411yescharacteristic
458#389C2311yescharacteristic
459#389C2311yescharacteristic
460#389C2311yescharacteristic
461#389C2311yescharacteristic
462#388—21no—
463#388—21no—
464#388—21no—
465#388—21no—
466#388—21no—
467#388—21no—
468#388—21no—
469#388—21no—
470#388—21no—
471#388D411yescharacteristic
472#388D411yescharacteristic
473#388D411yescharacteristic
474#388D411yescharacteristic
475#387—21no—
476#387—21no—
477#386—21no—
478#386—21no—
479#386—21no—
480#386—21no—
481#386—21no—
482#386—21no—
483#386—21no—
484#386—21no—
485#386—21no—
486#385—21no—
487#385—21no—
488#385—21no—
489#385—21no—
490#385—21no—
491#382C2311yescharacteristic
492#382C2311yescharacteristic
493#380—21no—
494#380C2311yescharacteristic
495#380C2311yescharacteristic
496#379—21no—
497#379—21no—
498C4×C4⋊C4—21no—
499C4×C4⋊C4—21no—
500C4×C4⋊C4C2311yescharacteristic
501C4×C4⋊C4C2311yescharacteristic
502C4×C4⋊C4C2311yescharacteristic
503C4×C22⋊C4—21no—
504C4×C22⋊C4—21no—
505C4×C22⋊C4—21no—
506C4×C22⋊C4C2311yescharacteristic
507C4×C22⋊C4C2311yescharacteristic
508C43C2311yescharacteristic
509#340C2311yescharacteristic
510#340C2311yescharacteristic
511#340C2311yescharacteristic
512#340C2311yescharacteristic
513#340C2311yescharacteristic
514#340C2311yescharacteristic
515#340C2311yescharacteristic
516#340C2311yescharacteristic
517#336C2311yescharacteristic
518#336C2311yescharacteristic
519#336C2311yescharacteristic
520#336C2311yescharacteristic
521#336C2311yescharacteristic
522#336C2311yescharacteristic
523#336C2311yescharacteristic
524#336C2311yescharacteristic
525#336C2311yescharacteristic
526#336C2311yescharacteristic
527C25—21no—
528C2×#41—22no—
529C2×#41—22no—
530C2×#41—22no—
531C2×#41—22no—
532C2×#41—41no—
533C2×#41—41no—
534C2×#41—41no—
535C2×#41—41no—
536C2×#41—41no—
537C2×#41—41no—
538C2×#41—41no—
539C2×#41—41no—
540C22×Q8—21no—
541C22×Q8—21no—
542C22×Q8—21no—
543C22×Q8—22no—
544C22×Q8—41no—
545C22×Q8—41no—
546C22×Q8—41no—
547C22×Q8—41no—
548C22×Q8—41no—
549C22×Q8C2411yescharacteristic
550C22×Q8C2411yescharacteristic
551C22×Q8C2411yescharacteristic
552C22×D4—22no—
553C22×D4—21no—
554C22×D4—21no—
555C22×D4—21no—
556C22×D4—21no—
557C22×D4—21no—
558C22×D4—21no—
559C22×D4—21no—
560C22×D4—21no—
561C22×D4—21no—
562C22×D4—21no—
563C22×D4—21no—
564C22×D4—21no—
565C22×D4—21no—
566C22×D4—21no—
567C22×D4—21no—
568C22×D4—22no—
569C22×D4—22no—
570C22×D4—41no—
571C22×D4—41no—
572C22×D4—41no—
573C22×D4C2×D411yescharacteristic
574C22×D4C2411yescharacteristic
575C22×D4C2411yescharacteristic
576C22×D4C2411yescharacteristic
577C22×D4C2411yescharacteristic
578C22×D4C2411yescharacteristic
579C23×C4—21no—
580C23×C4—21no—
581C23×C4—21no—
582C23×C4—21no—
583C23×C4—21no—
584C23×C4—21no—
585C23×C4—21no—
586C23×C4C2411yescharacteristic
587C23×C4C2411yescharacteristic
588C2×SD16—22no—
589C2×SD16—22no—
590C2×SD16—22no—
591C2×SD16—22no—
592C2×SD16—22no—
593C2×SD16—22no—
594C2×SD16—41no—
595C2×SD16—41no—
596C2×SD16—41no—
597C2×SD16—41no—
598C2×SD16—41no—
599C2×SD16—41no—
600C2×SD16—41no—
601C2×SD16—41no—
602C2×SD16—41no—
603C2×SD16—41no—
604C2×SD16—41no—
605C2×SD16—41no—
606C2×D8—22no—
607C2×D8—22no—
608C2×D8—41no—
609C2×D8—41no—
610C2×D8—41no—
611C2×D8—41no—
612C2×D8—41no—
613C2×D8—41no—
614C2×D8—41no—
615C2×D8—41no—
616C2×D8—41no—
617C2×D8—41no—
618C2×D8—41no—
619C2×D8—41no—
620C2×D8—41no—
621C2×D8—41no—
622C2×D8—41no—
623C2×D8—41no—
624C2×M16—22no—
625C2×M16—22no—
626C2×M16—41no—
627C22×C8—22no—
628C22×C8—22no—
629C22×C8—41no—
630C22×C8C2411yescharacteristic
631C22×C8C2411yescharacteristic
632C22×C8C2411yescharacteristic
633C22×C8C2411yescharacteristic
634C22×C8C2411yescharacteristic
635C22×C8C2411yescharacteristic
636C22×C8C2411yescharacteristic
637C22×C8C2411yescharacteristic
638C4⋊Q8—22no—
639C4⋊Q8—22no—
640C4⋊Q8—22no—
641C4⋊Q8—22no—
642C4⋊Q8—22no—
643C4⋊Q8—22no—
644C4⋊Q8—41no—
645C4⋊Q8—41no—
646C4⋊Q8—44no—
647#127—22no—
648#127—22no—
649#127—22no—
650#127—22no—
651#127—22no—
652#127—41no—
653#125—22no—
654#125—22no—
655#125—41no—
656#125—44no—
657#125C2×D414yes—
658#124—22no—
659#124—22no—
660#124—22no—
661#124—41no—
662#124—41no—
663#124—41no—
664#124—41no—
665#124—41no—
666#124—41no—
667#124—41no—
668#124—41no—
669#124—41no—
670#124—41no—
671#124—44no—
672#124—82no—
673#124—82no—
674#124—82no—
675#124C2×D414yes—
676#123—44no—
677#123—44no—
678#123—44no—
679#123—44no—
680#123—44no—
681C22⋊Q8—22no—
682C22⋊Q8—22no—
683C22⋊Q8—22no—
684C22⋊Q8—22no—
685C22⋊Q8—44no—
686C22⋊Q8—44no—
687C22⋊Q8—44no—
688C22⋊Q8—44no—
689C22⋊Q8—44no—
690C22⋊Q8—82no—
691#121—22no—
692#121—22no—
693#121—22no—
694#121—22no—
695#121—22no—
696#121—22no—
697#121—44no—
698#121—44no—
699#121—44no—
700#121—44no—
701#121—44no—
702#121—41no—
703#121—41no—
704#121—41no—
705#121—41no—
706#121—41no—
707#121—41no—
708#121—44no—
709#121—82no—
710#120—44no—
711#120—44no—
712#120—44no—
713C4×Q8—41no—
714C4×Q8—41no—
715C4×D4—22no—
716C4×D4—22no—
717C4×D4—22no—
718C4×D4—22no—
719C4×D4—41no—
720C4×D4—41no—
721C4×D4—41no—
722C4×D4—41no—
723C4×D4—44no—
724C4×D4—82no—
725#117—22no—
726#117—22no—
727#117—22no—
728#117—22no—
729#117—22no—
730#117—41no—
731C2×C4⋊C4—21no—
732C2×C4⋊C4—21no—
733C2×C4⋊C4—22no—
734C2×C4⋊C4—21no—
735C2×C4⋊C4—21no—
736C2×C4⋊C4—21no—
737C2×C4⋊C4—21no—
738C2×C4⋊C4—21no—
739C2×C4⋊C4—21no—
740C2×C4⋊C4—21no—
741C2×C4⋊C4—21no—
742C2×C4⋊C4—21no—
743C2×C4⋊C4—21no—
744C2×C4⋊C4—21no—
745C2×C4⋊C4—21no—
746C2×C4⋊C4—21no—
747C2×C4⋊C4—21no—
748C2×C4⋊C4—21no—
749C2×C4⋊C4—21no—
750C2×C4⋊C4—41no—
751C2×C4⋊C4C2×D411yescharacteristic
752C2×C4⋊C4C2×D411yescharacteristic
753C2×C4⋊C4C2×D411yescharacteristic
754C2×C4⋊C4C2×D411yescharacteristic
755C2×C4⋊C4C2×D411yescharacteristic
756C2×C4⋊C4C2×D411yescharacteristic
757C2×C4⋊C4C2×D411yescharacteristic
758C2×C4⋊C4C2411yescharacteristic
759C2×C4⋊C4C2411yescharacteristic
760C2×C4⋊C4C2411yescharacteristic
761C2×C4⋊C4C2411yescharacteristic
762C2×C4⋊C4C2411yescharacteristic
763C2×C4⋊C4C2411yescharacteristic
764C2×C4⋊C4C2411yescharacteristic
765C2×C4⋊C4C2411yescharacteristic
766C2×C22⋊C4—21no—
767C2×C22⋊C4—21no—
768C2×C22⋊C4—21no—
769C2×C22⋊C4—21no—
770C2×C22⋊C4—21no—
771C2×C22⋊C4—21no—
772C2×C22⋊C4—21no—
773C2×C22⋊C4—21no—
774C2×C22⋊C4—21no—
775C2×C22⋊C4—21no—
776C2×C22⋊C4—21no—
777C2×C22⋊C4—21no—
778C2×C22⋊C4—21no—
779C2×C22⋊C4—21no—
780C2×C22⋊C4—21no—
781C2×C22⋊C4—21no—
782C2×C22⋊C4—21no—
783C2×C22⋊C4—21no—
784C2×C22⋊C4—21no—
785C2×C22⋊C4—21no—
786C2×C22⋊C4—21no—
787C2×C22⋊C4—21no—
788C2×C22⋊C4—21no—
789C2×C22⋊C4—21no—
790C2×C22⋊C4—21no—
791C2×C22⋊C4—21no—
792C2×C22⋊C4—21no—
793C2×C22⋊C4—21no—
794C2×C22⋊C4—21no—
795C2×C22⋊C4—21no—
796C2×C22⋊C4—21no—
797C2×C22⋊C4—21no—
798C2×C22⋊C4—21no—
799C2×C22⋊C4—21no—
800C2×C22⋊C4—21no—
801C2×C22⋊C4—21no—
802C2×C22⋊C4—21no—
803C2×C22⋊C4—21no—
804C2×C22⋊C4—21no—
805C2×C22⋊C4—21no—
806C2×C22⋊C4—21no—
807C2×C22⋊C4—21no—
808C2×C22⋊C4—21no—
809C2×C22⋊C4—21no—
810C2×C22⋊C4—21no—
811C2×C22⋊C4—21no—
812C2×C22⋊C4—44no—
813C2×C22⋊C4C2×D411yescharacteristic
814C2×C22⋊C4C2×D411yescharacteristic
815C2×C22⋊C4C2×D411yescharacteristic
816C2×C22⋊C4C2×D411yescharacteristic
817C2×C22⋊C4C2×D411yescharacteristic
818C2×C22⋊C4C2×D411yescharacteristic
819C2×C22⋊C4C2×D411yescharacteristic
820C2×C22⋊C4C2×D411yescharacteristic
821C2×C22⋊C4C2×D411yescharacteristic
822C2×C22⋊C4C2×D411yescharacteristic
823C2×C42—21no—
824C2×C42—21no—
825C2×C42—21no—
826C2×C42—21no—
827C2×C42C2×D411yescharacteristic
828C2×C42C2×D411yescharacteristic
829C2×C42C2×D411yescharacteristic
830C2×C42C2×D411yescharacteristic
831C2×C42C2411yescharacteristic
832C2×C42C2411yescharacteristic
833C2×C42C2411yescharacteristic
834C2×C42C2411yescharacteristic
835C2×C42C2411yescharacteristic
836#107—41no—
837#107—41no—
838#106—41no—
839#106—41no—
840C4⋊C8—22no—
841C4⋊C8—22no—
842C4⋊C8—41no—
843C4⋊C8—41no—
844#103—22no—
845#103—22no—
846#103—22no—
847#103—22no—
848#103—22no—
849#103—22no—
850#103—41no—
851#103—41no—
852#103—41no—
853#103—41no—
854#103—41no—
855#103—41no—
856#103—41no—
857#103—41no—
858#103—41no—
859#103—41no—
860#103C2×D414yes—
861#103C2×D414yes—
862#102—22no—
863#102—22no—
864#102—22no—
865#102—22no—
866#102—22no—
867#102—22no—
868#102—22no—
869#102—22no—
870#102—22no—
871#102—22no—
872#102—41no—
873#102—41no—
874#102—41no—
875#102—41no—
876#102—41no—
877#102—41no—
878#102—41no—
879#102—41no—
880#102—41no—
881#102—41no—
882#102C2×D414yes—
883#102C2×D414yes—
884C22⋊C8—22no—
885C22⋊C8—22no—
886C22⋊C8—22no—
887C22⋊C8—22no—
888C22⋊C8—41no—
889C22⋊C8—41no—
890#97—22no—
891#97—22no—
892#97—22no—
893C4×C8—22no—
894C4×C8—22no—
895C4×C8C2×D414yes—
896#95—21no—
897#95—21no—
898#95—21no—
899#95—21no—
900#95—21no—
901#95—21no—
902#95—21no—
903#95—21no—
904#95—21no—
905#95—21no—
906#95—21no—
907#95—21no—
908#95—21no—
909#95—21no—
910#95—21no—
911#95—21no—
912#95—21no—
913#95—21no—
914#95C2×D411yescharacteristic
915#95C2×D411yescharacteristic
916#95C2×D411yescharacteristic
917#95C2×D411yescharacteristic
918#95C2×D411yescharacteristic
919#95C2×D411yescharacteristic
920C24—21no—
921C24—21no—
922C24—21no—
923C24—21no—
924C24—21no—
925C24—42no—
926C24—42no—
927C24—81no—
928C24—81no—
929C24—81no—
930C24—81no—
931C24—81no—
932C24C22×D411yescharacteristic
933C24C22×D411yescharacteristic
934#41—44no—
935#41—44no—
936#41—82no—
937#41—82no—
938#41—82no—
939#41—82no—
940#41—82no—
941#41—82no—
942C2×Q8—21no—
943C2×Q8—21no—
944C2×Q8—21no—
945C2×Q8—21no—
946C2×Q8—21no—
947C2×Q8—21no—
948C2×Q8—21no—
949C2×Q8—21no—
950C2×Q8—21no—
951C2×Q8—21no—
952C2×Q8—21no—
953C2×Q8—21no—
954C2×Q8—21no—
955C2×Q8—21no—
956C2×Q8—21no—
957C2×Q8—21no—
958C2×Q8—21no—
959C2×Q8—42no—
960C2×Q8—42no—
961C2×Q8—42no—
962C2×Q8—42no—
963C2×Q8—81no—
964C2×Q8—81no—
965C2×Q8—81no—
966C2×Q8—81no—
967C2×Q8—81no—
968C2×Q8—82no—
969C2×Q8—82no—
970C2×Q8—82no—
971C2×Q8—82no—
972C2×Q8C22×D412yes—
973C2×D4—22no—
974C2×D4—21no—
975C2×D4—21no—
976C2×D4—21no—
977C2×D4—21no—
978C2×D4—21no—
979C2×D4—21no—
980C2×D4—21no—
981C2×D4—21no—
982C2×D4—21no—
983C2×D4—21no—
984C2×D4—21no—
985C2×D4—21no—
986C2×D4—21no—
987C2×D4—21no—
988C2×D4—21no—
989C2×D4—21no—
990C2×D4—21no—
991C2×D4—21no—
992C2×D4—21no—
993C2×D4—21no—
994C2×D4—21no—
995C2×D4—21no—
996C2×D4—21no—
997C2×D4—21no—
998C2×D4—21no—
999C2×D4—21no—
1000C2×D4—21no—
1001C2×D4—21no—
1002C2×D4—21no—
1003C2×D4—44no—
1004C2×D4—44no—
1005C2×D4—41no—
1006C2×D4—41no—
1007C2×D4—42no—
1008C2×D4—42no—
1009C2×D4—42no—
1010C2×D4—42no—
1011C2×D4—42no—
1012C2×D4—42no—
1013C2×D4—42no—
1014C2×D4—42no—
1015C2×D4—42no—
1016C2×D4—42no—
1017C2×D4—42no—
1018C2×D4—42no—
1019C2×D4—42no—
1020C2×D4—42no—
1021C2×D4—42no—
1022C2×D4—42no—
1023C2×D4—42no—
1024C2×D4—42no—
1025C2×D4—82no—
1026C2×D4—82no—
1027C2×D4—81no—
1028C2×D4—81no—
1029C2×D4—81no—
1030C2×D4—81no—
1031C2×D4—81no—
1032C2×D4—81no—
1033C2×D4—81no—
1034C2×D4—81no—
1035C2×D4—81no—
1036C2×D4—81no—
1037C2×D4—81no—
1038C2×D4—81no—
1039C2×D4—81no—
1040C2×D4—81no—
1041C2×D4—81no—
1042C2×D4—81no—
1043C2×D4—81no—
1044C2×D4—81no—
1045C2×D4—81no—
1046C2×D4—81no—
1047C2×D4—81no—
1048C2×D4—81no—
1049C2×D4—81no—
1050C2×D4—81no—
1051C2×D4—81no—
1052C2×D4—81no—
1053C2×D4—81no—
1054C2×D4C22×D412yes—
1055C22×C4—21no—
1056C22×C4—21no—
1057C22×C4—21no—
1058C22×C4—21no—
1059C22×C4—21no—
1060C22×C4—21no—
1061C22×C4—21no—
1062C22×C4—21no—
1063C22×C4—21no—
1064C22×C4—21no—
1065C22×C4—21no—
1066C22×C4—21no—
1067C22×C4—21no—
1068C22×C4—21no—
1069C22×C4—21no—
1070C22×C4—21no—
1071C22×C4—21no—
1072C22×C4—21no—
1073C22×C4—21no—
1074C22×C4—21no—
1075C22×C4—21no—
1076C22×C4—42no—
1077C22×C4—42no—
1078C22×C4—42no—
1079C22×C4—42no—
1080C22×C4—42no—
1081C22×C4—42no—
1082C22×C4—42no—
1083C22×C4—42no—
1084C22×C4—42no—
1085C22×C4—42no—
1086C22×C4—81no—
1087C22×C4—81no—
1088C22×C4—81no—
1089C22×C4—81no—
1090C22×C4—81no—
1091C22×C4—81no—
1092C22×C4—81no—
1093C22×C4—81no—
1094C22×C4—81no—
1095C22×C4—81no—
1096C22×C4—81no—
1097C22×C4C22×D411yescharacteristic
1098C22×C4C22×D411yescharacteristic
1099C22×C4C22×D411yescharacteristic
1100C22×C4C22×D411yescharacteristic
1101C22×C4C22×D411yescharacteristic
1102C22×C4C22×D411yescharacteristic
1103C22×C4C22×D411yescharacteristic
1104C22×C4C22×D411yescharacteristic
1105C22×C4C22×D411yescharacteristic
1106C22×C4C22×D411yescharacteristic
1107C22×C4C22×D411yescharacteristic
1108C22×C4C22×D411yescharacteristic
1109C22×C4H(5,𝔽2)12yes—
1110C22×C4H(5,𝔽2)12yes—
1111C22×C4C2511yescharacteristic
1112SD16—82no—
1113SD16—82no—
1114SD16—82no—
1115SD16—82no—
1116SD16—82no—
1117SD16—82no—
1118D8—82no—
1119D8—82no—
1120D8—82no—
1121D8—82no—
1122D8—82no—
1123D8—82no—
1124M16—44no—
1125C2×C8—21no—
1126C2×C8—21no—
1127C2×C8—21no—
1128C2×C8—21no—
1129C2×C8—21no—
1130C2×C8—21no—
1131C2×C8—21no—
1132C2×C8—21no—
1133C2×C8—21no—
1134C2×C8—21no—
1135C2×C8—21no—
1136C2×C8—21no—
1137C2×C8—21no—
1138C2×C8—21no—
1139C2×C8—21no—
1140C2×C8—21no—
1141C2×C8—21no—
1142C2×C8—21no—
1143C2×C8—21no—
1144C2×C8—21no—
1145C2×C8—21no—
1146C2×C8—21no—
1147C2×C8—44no—
1148C2×C8C22×D412yes—
1149C2×C8C22×D412yes—
1150C4⋊C4—22no—
1151C4⋊C4—24no—
1152C4⋊C4—24no—
1153C4⋊C4—22no—
1154C4⋊C4—22no—
1155C4⋊C4—22no—
1156C4⋊C4—22no—
1157C4⋊C4—21no—
1158C4⋊C4—21no—
1159C4⋊C4—21no—
1160C4⋊C4—21no—
1161C4⋊C4—21no—
1162C4⋊C4—21no—
1163C4⋊C4—21no—
1164C4⋊C4—21no—
1165C4⋊C4—21no—
1166C4⋊C4—21no—
1167C4⋊C4—21no—
1168C4⋊C4—21no—
1169C4⋊C4—21no—
1170C4⋊C4—21no—
1171C4⋊C4—41no—
1172C4⋊C4—41no—
1173C4⋊C4—42no—
1174C4⋊C4—42no—
1175C4⋊C4—42no—
1176C4⋊C4—42no—
1177C4⋊C4—42no—
1178C4⋊C4—42no—
1179C4⋊C4—42no—
1180C4⋊C4—42no—
1181C4⋊C4—42no—
1182C4⋊C4—42no—
1183C4⋊C4—42no—
1184C4⋊C4—42no—
1185C4⋊C4—42no—
1186C4⋊C4—81no—
1187C4⋊C4—81no—
1188C4⋊C4—81no—
1189C4⋊C4C22×D412yes—
1190C4⋊C4C22×D412yes—
1191C22⋊C4—22no—
1192C22⋊C4—22no—
1193C22⋊C4—24no—
1194C22⋊C4—24no—
1195C22⋊C4—22no—
1196C22⋊C4—22no—
1197C22⋊C4—22no—
1198C22⋊C4—22no—
1199C22⋊C4—41no—
1200C22⋊C4—41no—
1201C22⋊C4—41no—
1202C22⋊C4—41no—
1203C22⋊C4—42no—
1204C22⋊C4—42no—
1205C22⋊C4—42no—
1206C22⋊C4—42no—
1207C22⋊C4—42no—
1208C22⋊C4—42no—
1209C22⋊C4—42no—
1210C22⋊C4—42no—
1211C22⋊C4—42no—
1212C22⋊C4—42no—
1213C22⋊C4—42no—
1214C22⋊C4—42no—
1215C22⋊C4—42no—
1216C22⋊C4—42no—
1217C22⋊C4—42no—
1218C22⋊C4—42no—
1219C22⋊C4—42no—
1220C22⋊C4—42no—
1221C22⋊C4—42no—
1222C22⋊C4—42no—
1223C22⋊C4—42no—
1224C22⋊C4—42no—
1225C22⋊C4—42no—
1226C22⋊C4—42no—
1227C22⋊C4—81no—
1228C22⋊C4—81no—
1229C22⋊C4—81no—
1230C22⋊C4—81no—
1231C22⋊C4—81no—
1232C22⋊C4—81no—
1233C22⋊C4—81no—
1234C22⋊C4—81no—
1235C22⋊C4—81no—
1236C22⋊C4—81no—
1237C22⋊C4—81no—
1238C22⋊C4—81no—
1239C22⋊C4—81no—
1240C22⋊C4—81no—
1241C22⋊C4—81no—
1242C22⋊C4—81no—
1243C22⋊C4—81no—
1244C22⋊C4—81no—
1245C22⋊C4—81no—
1246C22⋊C4—81no—
1247C42—21no—
1248C42—21no—
1249C42—21no—
1250C42—21no—
1251C42—21no—
1252C42—21no—
1253C42—21no—
1254C42—21no—
1255C42—41no—
1256C42—41no—
1257C42—41no—
1258C42—41no—
1259C42—42no—
1260C42—42no—
1261C42—42no—
1262C42—81no—
1263C42C22×D412yes—
1264C42H(5,𝔽2)12yes—
1265C23—21no—
1266C23—21no—
1267C23—21no—
1268C23—21no—
1269C23—21no—
1270C23—21no—
1271C23—21no—
1272C23—21no—
1273C23—21no—
1274C23—21no—
1275C23—21no—
1276C23—22no—
1277C23—21no—
1278C23—21no—
1279C23—41no—
1280C23—41no—
1281C23—41no—
1282C23—41no—
1283C23—41no—
1284C23—41no—
1285C23—41no—
1286C23—41no—
1287C23—41no—
1288C23—41no—
1289C23—41no—
1290C23—41no—
1291C23—41no—
1292C23—41no—
1293C23—41no—
1294C23—41no—
1295C23—41no—
1296C23—41no—
1297C23—41no—
1298C23—41no—
1299C23—41no—
1300C23—41no—
1301C23—41no—
1302C23—41no—
1303C23—41no—
1304C23—41no—
1305C23—41no—
1306C23—41no—
1307C23—41no—
1308C23—41no—
1309C23—41no—
1310C23—41no—
1311C23—41no—
1312C23—41no—
1313C23—84no—
1314C23—84no—
1315C23—162no—
1316C23—162no—
1317C23—162no—
1318C23—162no—
1319C23—162no—
1320C23#53512yes—
1321C23C23×D411yescharacteristic
1322Q8—22no—
1323Q8—22no—
1324Q8—41no—
1325Q8—41no—
1326Q8—41no—
1327Q8—41no—
1328Q8—41no—
1329Q8—41no—
1330Q8—41no—
1331Q8—41no—
1332Q8—41no—
1333Q8—41no—
1334Q8—84no—
1335Q8—162no—
1336Q8—162no—
1337D4—22no—
1338D4—22no—
1339D4—41no—
1340D4—41no—
1341D4—41no—
1342D4—41no—
1343D4—41no—
1344D4—41no—
1345D4—41no—
1346D4—41no—
1347D4—41no—
1348D4—41no—
1349D4—41no—
1350D4—41no—
1351D4—41no—
1352D4—41no—
1353D4—41no—
1354D4—41no—
1355D4—41no—
1356D4—41no—
1357D4—84no—
1358D4—82no—
1359D4—84no—
1360D4—84no—
1361D4—84no—
1362D4—84no—
1363D4—162no—
1364D4—162no—
1365D4—162no—
1366D4—162no—
1367D4—162no—
1368D4—162no—
1369D4—162no—
1370D4—162no—
1371D4—162no—
1372D4—162no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—22no—
1380C2×C4—22no—
1381C2×C4—22no—
1382C2×C4—22no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—22no—
1407C2×C4—22no—
1408C2×C4—21no—
1409C2×C4—22no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—41no—
1414C2×C4—41no—
1415C2×C4—41no—
1416C2×C4—41no—
1417C2×C4—41no—
1418C2×C4—41no—
1419C2×C4—41no—
1420C2×C4—41no—
1421C2×C4—41no—
1422C2×C4—41no—
1423C2×C4—41no—
1424C2×C4—41no—
1425C2×C4—41no—
1426C2×C4—41no—
1427C2×C4—41no—
1428C2×C4—41no—
1429C2×C4—41no—
1430C2×C4—41no—
1431C2×C4—41no—
1432C2×C4—41no—
1433C2×C4—41no—
1434C2×C4—41no—
1435C2×C4—41no—
1436C2×C4—41no—
1437C2×C4—41no—
1438C2×C4—41no—
1439C2×C4—41no—
1440C2×C4—41no—
1441C2×C4—41no—
1442C2×C4—41no—
1443C2×C4—41no—
1444C2×C4—41no—
1445C2×C4—41no—
1446C2×C4—41no—
1447C2×C4—84no—
1448C2×C4—84no—
1449C2×C4—84no—
1450C2×C4—162no—
1451C2×C4—162no—
1452C2×C4—162no—
1453C2×C4—162no—
1454C2×C4#53512yes—
1455C2×C4D4212yes—
1456C2×C4D4212yes—
1457C2×C4C23×D411yescharacteristic
1458C2×C4C2×H(5,𝔽2)11yescharacteristic
1459C2×C4C2×H(5,𝔽2)11yescharacteristic
1460C2×C4C2×H(5,𝔽2)11yescharacteristic
1461C2×C4#58511yescharacteristic
1462C2×C4#58511yescharacteristic
1463C8—22no—
1464C8—22no—
1465C8—41no—
1466C8—41no—
1467C8—41no—
1468C8—41no—
1469C8—41no—
1470C8—41no—
1471C22—22no—
1472C22—22no—
1473C22—22no—
1474C22—41no—
1475C22—41no—
1476C22—41no—
1477C22—41no—
1478C22—41no—
1479C22—42no—
1480C22—41no—
1481C22—41no—
1482C22—41no—
1483C22—41no—
1484C22—42no—
1485C22—41no—
1486C22—42no—
1487C22—41no—
1488C22—81no—
1489C22—81no—
1490C22—81no—
1491C22—81no—
1492C22—81no—
1493C22—81no—
1494C22—81no—
1495C22—81no—
1496C22—81no—
1497C22—81no—
1498C22—81no—
1499C22—81no—
1500C22—81no—
1501C22—81no—
1502C22—81no—
1503C22—81no—
1504C22—81no—
1505C22—81no—
1506C22—81no—
1507C22—81no—
1508C22—81no—
1509C22—81no—
1510C22—81no—
1511C22—81no—
1512C22—81no—
1513C22—81no—
1514C22—81no—
1515C22—81no—
1516C22—81no—
1517C22—81no—
1518C22—81no—
1519C22—81no—
1520C22—168no—
1521C22C2×#53511yescharacteristic
1522C22C2×D4211yescharacteristic
1523C22#350011yescharacteristic
1524C22#358411yescharacteristic
1525C22#358411yescharacteristic
1526C22#358511yescharacteristic
1527C22#358511yescharacteristic
1528C4—22no—
1529C4—22no—
1530C4—22no—
1531C4—41no—
1532C4—42no—
1533C4—41no—
1534C4—41no—
1535C4—41no—
1536C4—41no—
1537C4—41no—
1538C4—42no—
1539C4—41no—
1540C4—41no—
1541C4—42no—
1542C4—41no—
1543C4—81no—
1544C4—81no—
1545C4—81no—
1546C4—81no—
1547C4—81no—
1548C4—81no—
1549C4—81no—
1550C4—81no—
1551C4#348811yescharacteristic
1552C4#348811yescharacteristic
1553C4#355811yescharacteristic
1554C4#355811yescharacteristic
1555C2—42no—
1556C2—81no—
1557C2—82no—
1558C2—161no—
1559C2—161no—
1560C2—161no—
1561C2—161no—
1562C2#3767711yescharacteristic
1563C2#6081511yescharacteristic
1564C2#6083411yescharacteristic
1565C2#6108211yescharacteristic
1566C2#6108811yescharacteristic
1567C2#6260111yescharacteristic
1568C2#6261311yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2293 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3221C2semidirect
2. C2×#3136C2semidirect
3. #39426C2semidirect
4. #39357C2semidirect
5. #33178C2semidirect
6. #30902C2semidirect
7. #30891C2semidirect
8. #30886C2semidirect
9. #30875C2semidirect
10. #30549C2semidirect
11. #30538C2semidirect
12. #30529C2semidirect
13. #30526C2semidirect
14. #30260C2semidirect
15. #29847C2semidirect
16. #28757C2semidirect
17. #28621C2semidirect
18. #25914C2semidirect
19. #25866C2semidirect
20. #25734C2semidirect
21. #25608C2semidirect
22. #25101C2semidirect
23. #25094C2semidirect
24. #25088C2semidirect
25. #25083C2semidirect
26. #24450C2semidirect
27. #24441C2semidirect
28. #24434C2semidirect
29. #24425C2semidirect
30. #22222C2semidirect
31. #21110C2semidirect
35. C2×#540C22semidirect
41. C2×#492C22semidirect
43. C2×#491C22semidirect
50. C2×#487C22semidirect
59. C2×#461C22semidirect
60. C2×#461C22semidirect
65. C2×#448C22semidirect
66. C2×#448C22semidirect
69. C2×#433C22semidirect
76. #2858C22semidirect
85. #2628C22semidirect
94. #2491C22semidirect
95. #2490C22semidirect
101. #2454C22semidirect
102. #2452C22semidirect
111. C4×#125C22semidirect
115. #2067C22semidirect
117. #2065C22semidirect
118. #2055C22semidirect
119. #2055C22semidirect
122. #2043C22semidirect
123. #2043C22semidirect
128. #2042C22semidirect
129. #2042C22semidirect
131. #2034C22semidirect
133. #2033C22semidirect
134. #2026C22semidirect
135. #2026C22semidirect
136. #2024C22semidirect
137. #2024C22semidirect
144. #2012C22semidirect
145. #2012C22semidirect
146. #2012C22semidirect
147. #2012C22semidirect
152. #1999C22semidirect
153. #1999C22semidirect
154. #1993C22semidirect
155. #1991C22semidirect
158. #1983C22semidirect
159. #1983C22semidirect
160. #1973C22semidirect
161. #1973C22semidirect
162. #1968C22semidirect
163. #1968C22semidirect
165. #1961C22semidirect
166. #1960C22semidirect
168. #1928C22semidirect
169. #1927C22semidirect
172. #1924C22semidirect
173. #1923C22semidirect
174. #1917C22semidirect
175. #1916C22semidirect
176. #1880C22semidirect
177. #1880C22semidirect
182. #1879C22semidirect
183. #1879C22semidirect
190. #1865C22semidirect
192. #1863C22semidirect
196. #1846C22semidirect
199. #1787C22semidirect
200. #1787C22semidirect
201. #1767C22semidirect
203. #1750C22semidirect
204. #1744C22semidirect
307. #488D4semidirect

Maximal subgroups

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

subgroupindex
C2×#32212
C2×#31362
#394262
#393572
#331782
#309022
#308912
#308862
#308752
#305492
#305382
#305292
#305262
#302602
#298472
#287572
#286212
#259142
#258662
#257342
#256082
#251012
#250942
#250882
#250832
#244502
#244412
#244342
#244252
#222222
#211102