Finite Group Databasebeta

← #6668492

Subgroups — #6668492

Order 512.

2867 conjugacy classes of subgroups.

The subgroup lattice has 1714 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3314C211yesmaximal, characteristic, complemented
2C2×#3007C211yesmaximal, characteristic, complemented
3#39594C211yesmaximal, characteristic, complemented
4#36212C211yesmaximal, characteristic
5#32883C211yesmaximal, characteristic, complemented
6#31041C211yesmaximal, characteristic, complemented
7#31019C211yesmaximal, characteristic, complemented
8#30546C211yesmaximal, characteristic, complemented
9#30536C211yesmaximal, characteristic, complemented
10#30507C211yesmaximal, characteristic, complemented
11#30504C211yesmaximal, characteristic, complemented
12#30473C211yesmaximal, characteristic, complemented
13#30459C211yesmaximal, characteristic, complemented
14#29744C211yesmaximal, characteristic, complemented
15#29595C211yesmaximal, characteristic, complemented
16#27245C211yesmaximal, characteristic, complemented
17#27237C211yesmaximal, characteristic, complemented
18#25790C211yesmaximal, characteristic, complemented
19#25769C211yesmaximal, characteristic, complemented
20#25753C211yesmaximal, characteristic, complemented
21#25176C211yesmaximal, characteristic, complemented
22#25166C211yesmaximal, characteristic, complemented
23#24490C211yesmaximal, characteristic, complemented
24#24432C211yesmaximal, characteristic, complemented
25#24426C211yesmaximal, characteristic, complemented
26#24376C211yesmaximal, characteristic, complemented
27#24274C211yesmaximal, characteristic, complemented
28#23981C211yesmaximal, characteristic, complemented
29#23862C211yesmaximal, characteristic, complemented
30#22578C211yesmaximal, characteristic, complemented
31#22036C211yesmaximal, characteristic, complemented
32C23×#41C2211yescharacteristic
33C22×#137C2211yescharacteristic
34C22×#137C2211yescharacteristic, complemented
35C2×#554C2211yescharacteristic, complemented
36C2×#546C2211yescharacteristic
37C2×#546C2211yescharacteristic
38C2×D42C2211yescharacteristic
39C22×C22⋊Q8C2211yescharacteristic, complemented
40#3314—28no—
41C2×#497C2211yescharacteristic, complemented
42C2×#492C2211yescharacteristic, complemented
43C2×#489C2211yescharacteristic, complemented
44C2×#484C2211yescharacteristic, complemented
45C2×#480C2211yescharacteristic, complemented
46C2×#474C2211yescharacteristic, complemented
47C2×#468C2211yescharacteristic, complemented
48C2×#467C2211yescharacteristic, complemented
49C2×#467C2211yescharacteristic, complemented
50C2×#465C2211yescharacteristic, complemented
51C2×#464C2211yescharacteristic, complemented
52C2×#461C2211yescharacteristic, complemented
53C2×#461C2211yescharacteristic, complemented
54#3007—28no—
55C2×#452C2211yescharacteristic
56C2×#452C2211yescharacteristic
57C2×#452C2211yescharacteristic
58C2×#452C2211yescharacteristic
59C2×#452C2211yescharacteristic, complemented
60C2×#452C2211yescharacteristic, complemented
61C2×#452C2211yescharacteristic, complemented
62C2×#452C2211yescharacteristic, complemented
63C2×#451C2211yescharacteristic, complemented
64C2×#451C2211yescharacteristic, complemented
65C2×#451C2211yescharacteristic, complemented
66C2×#448C2211yescharacteristic, complemented
67C2×#450C2211yescharacteristic
68C2×#450C2211yescharacteristic
69C2×#450C2211yescharacteristic
70C2×#450C2211yescharacteristic, complemented
71C2×#450C2211yescharacteristic, complemented
72C2×#450C2211yescharacteristic, complemented
73C2×#440C2211yescharacteristic, complemented
74C2×#435C2211yescharacteristic, complemented
75C2×#417C2211yescharacteristic
76C2×#417C2211yescharacteristic, complemented
77C22×#102C2211yescharacteristic, complemented
78C2×#407C2211yescharacteristic, complemented
79#2849—21no—
80#2848C2211yescharacteristic, complemented
81#2847C2211yescharacteristic
82#2720—21no—
83#2720—21no—
84#2692—21no—
85#2692—21no—
86#2626—21no—
87#2542C2211yescharacteristic
88#2542C2211yescharacteristic, complemented
89#2502—21no—
90#2492C2211yescharacteristic, complemented
91#2492C2211yescharacteristic, complemented
92#2487—21no—
93#2436C2211yescharacteristic
94#2434C2211yescharacteristic, complemented
95#2431C2211yescharacteristic
96#2431C2211yescharacteristic
97#2430—21no—
98#2430—21no—
99#2429C2211yescharacteristic, complemented
100#2429C2211yescharacteristic, complemented
101#2417C2211yescharacteristic
102#2417C2211yescharacteristic, complemented
103#2410—21no—
104#2409C2211yescharacteristic
105#2409C2211yescharacteristic, complemented
106#2407C2211yescharacteristic
107#2407C2211yescharacteristic
108#2404—21no—
109#2404—21no—
110#2403—21no—
111#2345C2211yescharacteristic, complemented
112#2339C2211yescharacteristic
113#2339C2211yescharacteristic
114D4×C22⋊C4C2211yescharacteristic
115#2321—21no—
116C4×#120C2211yescharacteristic
117C2×#386—21no—
118#2076C2211yescharacteristic, complemented
119#2075C2211yescharacteristic, complemented
120#2068C2211yescharacteristic, complemented
121#2067C2211yescharacteristic, complemented
122#2056C2211yescharacteristic, complemented
123#2056C2211yescharacteristic, complemented
124#2056C2211yescharacteristic, complemented
125#2055C2211yescharacteristic, complemented
126#2042C2211yescharacteristic, complemented
127#2041C2211yescharacteristic, complemented
128#2036C2211yescharacteristic, complemented
129#2036C2211yescharacteristic, complemented
130#2036C2211yescharacteristic, complemented
131#2036C2211yescharacteristic, complemented
132#2036C2211yescharacteristic, complemented
133#2035C2211yescharacteristic, complemented
134#2034C2211yescharacteristic
135#2033C2211yescharacteristic, complemented
136#2024C2211yescharacteristic, complemented
137#2023C2211yescharacteristic, complemented
138#2016C2211yescharacteristic, complemented
139#2016C2211yescharacteristic, complemented
140#2016C2211yescharacteristic, complemented
141#2015C2211yescharacteristic, complemented
142#2015C2211yescharacteristic, complemented
143#2015C2211yescharacteristic, complemented
144#2014C2211yescharacteristic, complemented
145#2013C2211yescharacteristic, complemented
146#2001C2211yescharacteristic, complemented
147#2001C2211yescharacteristic, complemented
148#2001C2211yescharacteristic, complemented
149#2001C2211yescharacteristic, complemented
150#2000C2211yescharacteristic
151#2000C2211yescharacteristic
152#2000C2211yescharacteristic
153#2000C2211yescharacteristic, complemented
154#2000C2211yescharacteristic, complemented
155#2000C2211yescharacteristic, complemented
156#2000C2211yescharacteristic, complemented
157#2000C2211yescharacteristic, complemented
158#1983C2211yescharacteristic, complemented
159#1982C2211yescharacteristic, complemented
160#1973C2211yescharacteristic, complemented
161#1973C2211yescharacteristic, complemented
162#1971C2211yescharacteristic, complemented
163#1969C2211yescharacteristic, complemented
164#1955C2211yescharacteristic, complemented
165#1954C2211yescharacteristic
166#1935C2211yescharacteristic, complemented
167#1933C2211yescharacteristic, complemented
168#1928C2211yescharacteristic, complemented
169#1928C2211yescharacteristic, complemented
170#1927C2211yescharacteristic, complemented
171#1925C2211yescharacteristic, complemented
172#1924C2211yescharacteristic, complemented
173#1924C2211yescharacteristic, complemented
174#1924C2211yescharacteristic, complemented
175#1923C2211yescharacteristic, complemented
176#1895C2211yescharacteristic, complemented
177#1894C2211yescharacteristic, complemented
178#1880C2211yescharacteristic, complemented
179#1878C2211yescharacteristic, complemented
180#1877C2211yescharacteristic, complemented
181#1877C2211yescharacteristic, complemented
182#1877C2211yescharacteristic, complemented
183#1877C2211yescharacteristic, complemented
184#1874C2211yescharacteristic, complemented
185#1872C2211yescharacteristic, complemented
186#1870C2211yescharacteristic, complemented
187#1869C2211yescharacteristic
188#1869C2211yescharacteristic, complemented
189#1864C2211yescharacteristic, complemented
190#1862C2211yescharacteristic, complemented
191#1851C2211yescharacteristic, complemented
192#1823C2211yescharacteristic, complemented
193#1809C2211yescharacteristic, complemented
194#1788C2211yescharacteristic
195#1788C2211yescharacteristic
196#1788C2211yescharacteristic, complemented
197#1788C2211yescharacteristic, complemented
198#1787C2211yescharacteristic, complemented
199#1787C2211yescharacteristic, complemented
200#1786C2211yescharacteristic
201#1779C2211yescharacteristic, complemented
202#1762C2211yescharacteristic, complemented
203C4×#102C2211yescharacteristic, complemented
204#1753C2211yescharacteristic, complemented
205C22×#41—21no—
206C22×#41—21no—
207C22×#41—24no—
208C22×#41—42no—
209C22×#41—42no—
210C22×#41—42no—
211C22×#41—42no—
212C22×#41—42no—
213C22×#41C2311yescharacteristic
214C22×#41C2311yescharacteristic
215C22×#41C2311yescharacteristic
216C22×#41C2311yescharacteristic
217C23×Q8C2311yescharacteristic
218C23×Q8C2311yescharacteristic
219C23×D4—21no—
220C23×D4—21no—
221C23×D4C2311yescharacteristic
222C23×D4C2311yescharacteristic
223C24×C4—21no—
224C24×C4C2311yescharacteristic
225C2×#137—24no—
226C2×#137—24no—
227C2×#137—42no—
228C2×#137—42no—
229C2×#137—42no—
230C2×#137—42no—
231C22×Q16C2311yescharacteristic
232C22×Q16C2311yescharacteristic
233C22×Q16C2311yescharacteristic
234C22×Q16C2311yescharacteristic
235C22×Q16C2311yescharacteristic
236C22×Q16C2311yescharacteristic
237C22×SD16C2311yescharacteristic
238C22×SD16C2311yescharacteristic
239C22×SD16C2311yescharacteristic
240C22×SD16C2311yescharacteristic
241C22×SD16C2311yescharacteristic
242C22×SD16C2311yescharacteristic
243C22×SD16C2311yescharacteristic
244C22×SD16C2311yescharacteristic
245C22×SD16C2311yescharacteristic
246C22×M16C2311yescharacteristic
247C22×M16C2311yescharacteristic
248C23×C8C2311yescharacteristic
249#554—24no—
250#554—42no—
251#546—24no—
252#546—42no—
253#546—42no—
254#546—42no—
255D42—42no—
256D42—42no—
257C2×C4⋊Q8C2311yescharacteristic
258C2×C4⋊Q8C2311yescharacteristic
259C2×C4⋊Q8C2311yescharacteristic
260C2×#127C2311yescharacteristic
261C2×#125—21no—
262C2×#124C2311yescharacteristic
263C2×#124C2311yescharacteristic
264C2×#123—21no—
265C2×#123—21no—
266C2×C22⋊Q8—21no—
267C2×C22⋊Q8—21no—
268C2×C22⋊Q8—21no—
269C2×C22⋊Q8—21no—
270C2×C22⋊Q8—24no—
271C2×C22⋊Q8—42no—
272C2×C22⋊Q8C2311yescharacteristic
273C2×C22⋊Q8C2311yescharacteristic
274C2×C22⋊Q8C2311yescharacteristic
275C2×C22⋊Q8C2311yescharacteristic
276C2×C22⋊Q8C2311yescharacteristic
277C2×C22⋊Q8C2311yescharacteristic
278C2×C22⋊Q8C2311yescharacteristic
279C2×C22⋊Q8C2311yescharacteristic
280C2×C22⋊Q8C2311yescharacteristic
281C2×C22⋊Q8C2311yescharacteristic
282C2×C22⋊Q8C2311yescharacteristic
283C2×C22⋊Q8C2311yescharacteristic
284C2×#121—21no—
285C2×#121—21no—
286C2×#121—21no—
287C2×#121C2311yescharacteristic
288C2×#121C2311yescharacteristic
289C2×#121C2311yescharacteristic
290C2×#121C2311yescharacteristic
291C2×#120—21no—
292C2×#120—21no—
293C2×#120—21no—
294C2×#120—21no—
295C2×#120—21no—
296C2×#120D411yescharacteristic
297C2×C4×Q8C2311yescharacteristic
298C2×C4×D4—21no—
299C2×C4×D4C2311yescharacteristic
300C2×C4×D4C2311yescharacteristic
301C2×C4×D4C2311yescharacteristic
302C2×C4×D4C2311yescharacteristic
303C2×C4×D4C2311yescharacteristic
304C2×C4×D4C2311yescharacteristic
305C22×C4⋊C4—21no—
306C22×C4⋊C4C2311yescharacteristic
307C22×C4⋊C4C2311yescharacteristic
308C22×C22⋊C4—21no—
309C22×C22⋊C4—21no—
310C22×C22⋊C4—21no—
311C22×C22⋊C4—21no—
312#497—42no—
313#492—42no—
314#489—24no—
315#484—24no—
316#480—24no—
317#474—24no—
318#468—24no—
319#467—24no—
320#467—42no—
321#465—42no—
322#464—24no—
323#461—42no—
324#461—42no—
325#452—24no—
326#452—24no—
327#452—24no—
328#452—24no—
329#452—24no—
330#452—42no—
331#452—42no—
332#452—42no—
333#451—24no—
334#451—24no—
335#451—42no—
336#450—24no—
337#450—24no—
338#450—24no—
339#450—42no—
340#450—42no—
341#450—42no—
342#448—42no—
343#440—24no—
344#435—24no—
345C2×#107C2311yescharacteristic
346C2×#107C2311yescharacteristic
347C2×#107C2311yescharacteristic
348C2×#107C2311yescharacteristic
349C2×#106C2311yescharacteristic
350C2×C4⋊C8C2311yescharacteristic
351C2×C4⋊C8C2311yescharacteristic
352C2×C4⋊C8C2311yescharacteristic
353#417—24no—
354#417D418yescomplemented
355C2×#103C2311yescharacteristic
356C2×#103C2311yescharacteristic
357C2×#103C2311yescharacteristic
358C2×#103C2311yescharacteristic
359C2×#103C2311yescharacteristic
360C2×#103C2311yescharacteristic
361C2×#103C2311yescharacteristic
362C2×#103C2311yescharacteristic
363C2×#103C2311yescharacteristic
364C2×#103C2311yescharacteristic
365C2×#103C2311yescharacteristic
366C2×#103C2311yescharacteristic
367C2×#103C2311yescharacteristic
368C2×#103C2311yescharacteristic
369C2×#103C2311yescharacteristic
370C2×#103C2311yescharacteristic
371C2×#103C2311yescharacteristic
372C2×#103C2311yescharacteristic
373C2×#103C2311yescharacteristic
374C2×#102—24no—
375C2×#102C2311yescharacteristic
376C2×#102C2311yescharacteristic
377C2×#102C2311yescharacteristic
378C2×#102C2311yescharacteristic
379C2×#102C2311yescharacteristic
380C2×#102C2311yescharacteristic
381C2×#102C2311yescharacteristic
382C2×#102C2311yescharacteristic
383C2×#102C2311yescharacteristic
384C2×#102C2311yescharacteristic
385C2×#102C2311yescharacteristic
386C2×#102C2311yescharacteristic
387C2×#102C2311yescharacteristic
388C2×#102C2311yescharacteristic
389C2×#102C2311yescharacteristic
390#407—24no—
391C2×C22⋊C8C2311yescharacteristic
392C2×C22⋊C8C2311yescharacteristic
393C2×C22⋊C8C2311yescharacteristic
394C2×C22⋊C8C2311yescharacteristic
395C2×C22⋊C8C2311yescharacteristic
396C2×C22⋊C8C2311yescharacteristic
397C2×C22⋊C8C2311yescharacteristic
398C2×C22⋊C8C2311yescharacteristic
399C2×C22⋊C8C2311yescharacteristic
400C2×C22⋊C8C2311yescharacteristic
401C2×C22⋊C8C2311yescharacteristic
402C2×C22⋊C8C2311yescharacteristic
403C2×C22⋊C8C2311yescharacteristic
404C2×#97C2311yescharacteristic
405C2×#97C2311yescharacteristic
406C2×C4×C8C2311yescharacteristic
407#400—21no—
408#400—21no—
409#399—21no—
410#399—21no—
411#399—21no—
412#399—21no—
413#398—21no—
414#398—21no—
415#398—21no—
416#398—21no—
417#396—21no—
418#396—21no—
419#396—21no—
420#396—21no—
421#395—21no—
422#395—21no—
423#395—21no—
424#395—21no—
425#394—21no—
426#394—21no—
427#393—21no—
428#393—21no—
429#393—21no—
430#393—21no—
431#393—21no—
432#393—21no—
433#392—21no—
434#392—21no—
435#392—21no—
436#392—21no—
437#392—21no—
438#392—21no—
439#391—21no—
440#391—21no—
441#391C2311yescharacteristic
442#391C2311yescharacteristic
443#391C2311yescharacteristic
444#391C2311yescharacteristic
445#391C2311yescharacteristic
446#391C2311yescharacteristic
447#391C2311yescharacteristic
448#391C2311yescharacteristic
449#390—21no—
450#390—21no—
451#390C2311yescharacteristic
452#390C2311yescharacteristic
453#389—21no—
454#389—21no—
455#389C2311yescharacteristic
456#389C2311yescharacteristic
457#388—21no—
458#388—21no—
459#388—21no—
460#388—21no—
461#387—21no—
462#387—21no—
463#386—21no—
464#386—21no—
465#386—21no—
466#386—21no—
467#386—21no—
468#386—21no—
469#386—21no—
470#386—21no—
471#386—21no—
472#386—21no—
473#386—21no—
474#386—21no—
475#386—21no—
476#386—21no—
477#386—21no—
478#386—21no—
479#386—21no—
480#386—21no—
481#386—21no—
482#386—21no—
483#386—21no—
484#386D411yescharacteristic
485#386D411yescharacteristic
486#386D411yescharacteristic
487#385—21no—
488#385—21no—
489#385—21no—
490#385—21no—
491#385—21no—
492#385—21no—
493#385—21no—
494#385—21no—
495#385—21no—
496#385D411yescharacteristic
497#385D411yescharacteristic
498#385D411yescharacteristic
499#384—21no—
500#384—21no—
501#381—21no—
502#381—21no—
503#380—21no—
504#380—21no—
505#380—21no—
506#380C2311yescharacteristic
507#380C2311yescharacteristic
508#380C2311yescharacteristic
509#380C2311yescharacteristic
510#380C2311yescharacteristic
511#380C2311yescharacteristic
512#379—21no—
513#379—21no—
514#379D411yescharacteristic
515C4×C4⋊C4C2311yescharacteristic
516C4×C4⋊C4C2311yescharacteristic
517C4×C22⋊C4—21no—
518C4×C22⋊C4C2311yescharacteristic
519C4×C22⋊C4C2311yescharacteristic
520C4×C22⋊C4C2311yescharacteristic
521C2×#95—21no—
522C2×#95—21no—
523#340C2311yescharacteristic
524#340C2311yescharacteristic
525#340C2311yescharacteristic
526#340C2311yescharacteristic
527#340C2311yescharacteristic
528#340C2311yescharacteristic
529#340C2311yescharacteristic
530#340C2311yescharacteristic
531#340C2311yescharacteristic
532#340C2311yescharacteristic
533#336C2311yescharacteristic
534#336C2311yescharacteristic
535#336C2311yescharacteristic
536#336C2311yescharacteristic
537#336C2311yescharacteristic
538#336C2311yescharacteristic
539C25—21no—
540C25—21no—
541C25C2×D411yescharacteristic
542C2×#41—22no—
543C2×#41—22no—
544C2×#41—22no—
545C2×#41—22no—
546C2×#41—22no—
547C2×#41—22no—
548C2×#41—22no—
549C2×#41—22no—
550C2×#41—22no—
551C2×#41—22no—
552C2×#41—22no—
553C2×#41—22no—
554C2×#41—22no—
555C2×#41—44no—
556C2×#41—41no—
557C2×#41—41no—
558C2×#41—41no—
559C2×#41—41no—
560C2×#41—41no—
561C2×#41—41no—
562C2×#41—41no—
563C2×#41—41no—
564C2×#41—41no—
565C2×#41—41no—
566C2×#41—44no—
567C2×#41—44no—
568C2×#41—44no—
569C2×#41—44no—
570C2×#41—44no—
571C2×#41—416no—
572C2×#41—416no—
573C2×#41—416no—
574C2×#41—416no—
575C2×#41C2×D414yes—
576C22×Q8—21no—
577C22×Q8—21no—
578C22×Q8—21no—
579C22×Q8—22no—
580C22×Q8—22no—
581C22×Q8—22no—
582C22×Q8—22no—
583C22×Q8—41no—
584C22×Q8—41no—
585C22×Q8—41no—
586C22×Q8—41no—
587C22×Q8—41no—
588C22×Q8—41no—
589C22×Q8—41no—
590C22×Q8—41no—
591C22×Q8C2411yescharacteristic
592C22×Q8C2411yescharacteristic
593C22×Q8C2411yescharacteristic
594C22×Q8C2411yescharacteristic
595C22×Q8C2411yescharacteristic
596C22×D4—21no—
597C22×D4—21no—
598C22×D4—22no—
599C22×D4—22no—
600C22×D4—22no—
601C22×D4—22no—
602C22×D4—22no—
603C22×D4—22no—
604C22×D4—22no—
605C22×D4—21no—
606C22×D4—21no—
607C22×D4—21no—
608C22×D4—21no—
609C22×D4—21no—
610C22×D4—21no—
611C22×D4—21no—
612C22×D4—21no—
613C22×D4—21no—
614C22×D4—21no—
615C22×D4—41no—
616C22×D4—41no—
617C22×D4—41no—
618C22×D4—41no—
619C22×D4—41no—
620C22×D4—44no—
621C22×D4—44no—
622C22×D4—44no—
623C22×D4—44no—
624C22×D4—44no—
625C22×D4—82no—
626C22×D4C2×D411yescharacteristic
627C22×D4C2×D411yescharacteristic
628C22×D4C2×D411yescharacteristic
629C22×D4C2411yescharacteristic
630C22×D4C2411yescharacteristic
631C22×D4C2411yescharacteristic
632C23×C4—21no—
633C23×C4—21no—
634C23×C4—21no—
635C23×C4—22no—
636C23×C4—22no—
637C23×C4—21no—
638C23×C4—21no—
639C23×C4—21no—
640C23×C4—21no—
641C23×C4—21no—
642C23×C4—21no—
643C23×C4—21no—
644C23×C4—21no—
645C23×C4—41no—
646C23×C4—41no—
647C23×C4—41no—
648C23×C4—41no—
649C23×C4—44no—
650C23×C4—44no—
651C23×C4—44no—
652C23×C4C2×D411yescharacteristic
653C23×C4C2×D411yescharacteristic
654C23×C4C2×D411yescharacteristic
655C23×C4C2411yescharacteristic
656C23×C4C2411yescharacteristic
657C23×C4C2411yescharacteristic
658C23×C4C2411yescharacteristic
659#137—416no—
660#137—416no—
661C2×Q16—22no—
662C2×Q16—22no—
663C2×Q16—22no—
664C2×Q16—22no—
665C2×Q16—22no—
666C2×Q16—22no—
667C2×Q16—22no—
668C2×Q16—22no—
669C2×Q16—41no—
670C2×Q16—41no—
671C2×Q16—41no—
672C2×Q16—41no—
673C2×Q16—41no—
674C2×Q16—41no—
675C2×Q16—41no—
676C2×Q16—41no—
677C2×Q16—41no—
678C2×Q16—41no—
679C2×SD16—22no—
680C2×SD16—22no—
681C2×SD16—22no—
682C2×SD16—22no—
683C2×SD16—22no—
684C2×SD16—22no—
685C2×SD16—22no—
686C2×SD16—22no—
687C2×SD16—22no—
688C2×SD16—22no—
689C2×SD16—22no—
690C2×SD16—22no—
691C2×SD16—22no—
692C2×SD16—22no—
693C2×SD16—22no—
694C2×SD16—41no—
695C2×SD16—41no—
696C2×SD16—41no—
697C2×SD16—41no—
698C2×SD16—41no—
699C2×SD16—41no—
700C2×SD16—41no—
701C2×SD16—41no—
702C2×SD16—41no—
703C2×SD16—41no—
704C2×SD16—41no—
705C2×SD16—41no—
706C2×M16—22no—
707C2×M16—41no—
708C2×M16—41no—
709C2×M16—41no—
710C2×M16—41no—
711C2×M16C2×D414yescomplemented
712C22×C8—22no—
713C22×C8—41no—
714C22×C8—41no—
715C22×C8C2411yescharacteristic
716C22×C8C2411yescharacteristic
717C22×C8C2411yescharacteristic
718C22×C8C2411yescharacteristic
719C22×C8C2411yescharacteristic
720C22×C8C2411yescharacteristic
721C22×C8C2411yescharacteristic
722C22×C8C2411yescharacteristic
723C4⋊Q8—22no—
724C4⋊Q8—41no—
725C4⋊Q8—41no—
726C4⋊Q8—41no—
727C4⋊Q8—41no—
728C4⋊Q8—41no—
729#127—22no—
730#127—41no—
731#125—44no—
732#124—22no—
733#124—22no—
734#124—41no—
735#124—41no—
736#123—44no—
737#123—44no—
738C22⋊Q8—22no—
739C22⋊Q8—22no—
740C22⋊Q8—22no—
741C22⋊Q8—22no—
742C22⋊Q8—22no—
743C22⋊Q8—22no—
744C22⋊Q8—22no—
745C22⋊Q8—22no—
746C22⋊Q8—22no—
747C22⋊Q8—44no—
748C22⋊Q8—44no—
749C22⋊Q8—41no—
750C22⋊Q8—41no—
751C22⋊Q8—41no—
752C22⋊Q8—41no—
753C22⋊Q8—41no—
754C22⋊Q8—41no—
755C22⋊Q8—41no—
756C22⋊Q8—44no—
757C22⋊Q8—44no—
758C22⋊Q8—41no—
759C22⋊Q8—41no—
760C22⋊Q8—41no—
761C22⋊Q8—41no—
762C22⋊Q8—41no—
763C22⋊Q8—41no—
764C22⋊Q8—41no—
765C22⋊Q8—41no—
766#121—22no—
767#121—22no—
768#121—22no—
769#121—44no—
770#121—41no—
771#121—41no—
772#121—41no—
773#121—41no—
774#121—41no—
775#121—44no—
776#121—44no—
777#120—24no—
778#120—44no—
779#120—44no—
780#120—44no—
781#120—44no—
782#120—82no—
783C4×Q8—22no—
784C4×Q8—41no—
785C4×D4—22no—
786C4×D4—22no—
787C4×D4—22no—
788C4×D4—22no—
789C4×D4—22no—
790C4×D4—41no—
791C4×D4—41no—
792C4×D4—41no—
793C4×D4—41no—
794C4×D4—41no—
795C4×D4—41no—
796C4×D4—41no—
797C4×D4—44no—
798C2×C4⋊C4—21no—
799C2×C4⋊C4—22no—
800C2×C4⋊C4—22no—
801C2×C4⋊C4—21no—
802C2×C4⋊C4—21no—
803C2×C4⋊C4—21no—
804C2×C4⋊C4—21no—
805C2×C4⋊C4—21no—
806C2×C4⋊C4—21no—
807C2×C4⋊C4—21no—
808C2×C4⋊C4—21no—
809C2×C4⋊C4—21no—
810C2×C4⋊C4—21no—
811C2×C4⋊C4—21no—
812C2×C4⋊C4—21no—
813C2×C4⋊C4—21no—
814C2×C4⋊C4—21no—
815C2×C4⋊C4—21no—
816C2×C4⋊C4—21no—
817C2×C4⋊C4—21no—
818C2×C4⋊C4—21no—
819C2×C4⋊C4—21no—
820C2×C4⋊C4—21no—
821C2×C4⋊C4—21no—
822C2×C4⋊C4—41no—
823C2×C4⋊C4—44no—
824C2×C4⋊C4C2×D411yescharacteristic
825C2×C4⋊C4C2×D411yescharacteristic
826C2×C4⋊C4C2×D411yescharacteristic
827C2×C4⋊C4C2×D414yescomplemented
828C2×C4⋊C4C2411yescharacteristic
829C2×C4⋊C4C2411yescharacteristic
830C2×C4⋊C4C2411yescharacteristic
831C2×C4⋊C4C2411yescharacteristic
832C2×C4⋊C4C2411yescharacteristic
833C2×C4⋊C4C2411yescharacteristic
834C2×C4⋊C4C2411yescharacteristic
835C2×C4⋊C4C2411yescharacteristic
836C2×C22⋊C4—21no—
837C2×C22⋊C4—21no—
838C2×C22⋊C4—21no—
839C2×C22⋊C4—21no—
840C2×C22⋊C4—21no—
841C2×C22⋊C4—21no—
842C2×C22⋊C4—21no—
843C2×C22⋊C4—21no—
844C2×C22⋊C4—21no—
845C2×C22⋊C4—21no—
846C2×C22⋊C4—21no—
847C2×C22⋊C4—21no—
848C2×C22⋊C4—21no—
849C2×C22⋊C4—21no—
850C2×C22⋊C4—21no—
851C2×C22⋊C4—21no—
852C2×C22⋊C4—21no—
853C2×C22⋊C4—21no—
854C2×C22⋊C4—21no—
855C2×C22⋊C4—21no—
856C2×C22⋊C4—21no—
857C2×C22⋊C4—21no—
858C2×C22⋊C4—21no—
859C2×C22⋊C4—21no—
860C2×C22⋊C4—21no—
861C2×C22⋊C4—21no—
862C2×C22⋊C4—21no—
863C2×C22⋊C4—21no—
864C2×C22⋊C4—21no—
865C2×C22⋊C4—21no—
866C2×C22⋊C4—21no—
867C2×C22⋊C4—21no—
868C2×C22⋊C4—21no—
869C2×C22⋊C4—44no—
870C2×C22⋊C4—44no—
871C2×C22⋊C4—44no—
872C2×C22⋊C4—82no—
873C2×C22⋊C4C2×D411yescharacteristic
874C2×C22⋊C4C2×D411yescharacteristic
875C2×C22⋊C4C2×D411yescharacteristic
876C2×C22⋊C4C2×D411yescharacteristic
877C2×C22⋊C4C2×D411yescharacteristic
878C2×C22⋊C4C2×D411yescharacteristic
879C2×C22⋊C4C2×D411yescharacteristic
880C2×C22⋊C4C2×D411yescharacteristic
881C2×C22⋊C4C2×D411yescharacteristic
882C2×C22⋊C4C2×D411yescharacteristic
883C2×C22⋊C4C2×D411yescharacteristic
884C2×C22⋊C4C2×D411yescharacteristic
885C2×C42—21no—
886C2×C42—21no—
887C2×C42—21no—
888C2×C42C2411yescharacteristic
889C2×C42C2411yescharacteristic
890C2×C42C2411yescharacteristic
891#107—22no—
892#107—22no—
893#107—22no—
894#107—41no—
895#106—41no—
896C4⋊C8—22no—
897C4⋊C8—41no—
898C4⋊C8—41no—
899#103—22no—
900#103—22no—
901#103—22no—
902#103—22no—
903#103—22no—
904#103—41no—
905#103—41no—
906#103—41no—
907#103—41no—
908#103—41no—
909#103—41no—
910#103—41no—
911#103—41no—
912#103—41no—
913#103—41no—
914#103—41no—
915#103—41no—
916#103C2×D414yescomplemented
917#103C2×D414yescomplemented
918#102—22no—
919#102—22no—
920#102—22no—
921#102—22no—
922#102—22no—
923#102—22no—
924#102—22no—
925#102—22no—
926#102—22no—
927#102—41no—
928#102—41no—
929#102—41no—
930#102—41no—
931#102C2×D414yes—
932#102C2×D414yes—
933C22⋊C8—22no—
934C22⋊C8—22no—
935C22⋊C8—22no—
936C22⋊C8—22no—
937C22⋊C8—22no—
938C22⋊C8—22no—
939C22⋊C8—22no—
940C22⋊C8—41no—
941C22⋊C8—41no—
942C22⋊C8—41no—
943C22⋊C8—41no—
944C22⋊C8—41no—
945C22⋊C8—41no—
946#97—22no—
947#97—41no—
948C4×C8—41no—
949#95—21no—
950#95—21no—
951#95—21no—
952#95—21no—
953#95—21no—
954#95—21no—
955#95—21no—
956#95—21no—
957#95—21no—
958#95—21no—
959#95—21no—
960#95—21no—
961#95—21no—
962#95—21no—
963#95—21no—
964#95—21no—
965#95—21no—
966#95—21no—
967#95—21no—
968#95—21no—
969#95—21no—
970#95—21no—
971#95—21no—
972#95—21no—
973#95—21no—
974#95—21no—
975#95C2×D411yescharacteristic
976#95C2×D411yescharacteristic
977#95C2×D411yescharacteristic
978#95C2×D411yescharacteristic
979#95C2×D411yescharacteristic
980#95C2×D411yescharacteristic
981C24—21no—
982C24—24no—
983C24—21no—
984C24—22no—
985C24—22no—
986C24—21no—
987C24—41no—
988C24—41no—
989C24—41no—
990C24—41no—
991C24—41no—
992C24—42no—
993C24—42no—
994C24—42no—
995C24—42no—
996C24—42no—
997C24—42no—
998C24—42no—
999C24—42no—
1000C24—81no—
1001C24—81no—
1002C24—81no—
1003C24—81no—
1004C24—81no—
1005C24C22×D411yescharacteristic
1006C24C22×D411yescharacteristic
1007C24C22×D411yescharacteristic
1008C24C22×D411yescharacteristic
1009#41—28no—
1010#41—28no—
1011#41—44no—
1012#41—44no—
1013#41—44no—
1014#41—44no—
1015#41—44no—
1016#41—44no—
1017#41—44no—
1018#41—44no—
1019#41—44no—
1020#41—44no—
1021#41—44no—
1022#41—44no—
1023#41—432no—
1024#41—432no—
1025#41—44no—
1026#41—44no—
1027C2×Q8—21no—
1028C2×Q8—21no—
1029C2×Q8—21no—
1030C2×Q8—21no—
1031C2×Q8—21no—
1032C2×Q8—21no—
1033C2×Q8—21no—
1034C2×Q8—21no—
1035C2×Q8—21no—
1036C2×Q8—21no—
1037C2×Q8—21no—
1038C2×Q8—21no—
1039C2×Q8—21no—
1040C2×Q8—21no—
1041C2×Q8—21no—
1042C2×Q8—21no—
1043C2×Q8—21no—
1044C2×Q8—21no—
1045C2×Q8—21no—
1046C2×Q8—21no—
1047C2×Q8—21no—
1048C2×Q8—21no—
1049C2×Q8—21no—
1050C2×Q8—21no—
1051C2×Q8—21no—
1052C2×Q8—21no—
1053C2×Q8—21no—
1054C2×Q8—21no—
1055C2×Q8—42no—
1056C2×Q8—42no—
1057C2×Q8—42no—
1058C2×Q8—42no—
1059C2×Q8—44no—
1060C2×Q8—44no—
1061C2×Q8—44no—
1062C2×Q8—44no—
1063C2×Q8—44no—
1064C2×Q8—44no—
1065C2×Q8—42no—
1066C2×Q8—81no—
1067C2×Q8—81no—
1068C2×Q8—81no—
1069C2×Q8—81no—
1070C2×Q8—82no—
1071C2×Q8—82no—
1072C2×Q8C22×D412yes—
1073C2×Q8H(5,𝔽2)12yes—
1074C2×D4—24no—
1075C2×D4—24no—
1076C2×D4—22no—
1077C2×D4—24no—
1078C2×D4—22no—
1079C2×D4—22no—
1080C2×D4—21no—
1081C2×D4—21no—
1082C2×D4—21no—
1083C2×D4—21no—
1084C2×D4—21no—
1085C2×D4—21no—
1086C2×D4—21no—
1087C2×D4—21no—
1088C2×D4—21no—
1089C2×D4—21no—
1090C2×D4—21no—
1091C2×D4—21no—
1092C2×D4—21no—
1093C2×D4—21no—
1094C2×D4—41no—
1095C2×D4—41no—
1096C2×D4—41no—
1097C2×D4—42no—
1098C2×D4—42no—
1099C2×D4—42no—
1100C2×D4—42no—
1101C2×D4—41no—
1102C2×D4—41no—
1103C2×D4—42no—
1104C2×D4—42no—
1105C2×D4—42no—
1106C2×D4—42no—
1107C2×D4—42no—
1108C2×D4—44no—
1109C2×D4—44no—
1110C2×D4—44no—
1111C2×D4—42no—
1112C2×D4—42no—
1113C2×D4—42no—
1114C2×D4—42no—
1115C2×D4—42no—
1116C2×D4—42no—
1117C2×D4—42no—
1118C2×D4—432no—
1119C2×D4—42no—
1120C2×D4—44no—
1121C2×D4—44no—
1122C2×D4—42no—
1123C2×D4—42no—
1124C2×D4—42no—
1125C2×D4—42no—
1126C2×D4—42no—
1127C2×D4—42no—
1128C2×D4—42no—
1129C2×D4—42no—
1130C2×D4—81no—
1131C2×D4—81no—
1132C2×D4—81no—
1133C2×D4—82no—
1134C2×D4—82no—
1135C2×D4—82no—
1136C2×D4—81no—
1137C2×D4—81no—
1138C2×D4—81no—
1139C2×D4—81no—
1140C2×D4—81no—
1141C2×D4—816no—
1142C2×D4#13714yescomplemented
1143C2×D4C22×D412yes—
1144C2×D4H(5,𝔽2)12yes—
1145C2×D4H(5,𝔽2)12yes—
1146C2×D4H(5,𝔽2)12yes—
1147C22×C4—21no—
1148C22×C4—21no—
1149C22×C4—21no—
1150C22×C4—21no—
1151C22×C4—24no—
1152C22×C4—22no—
1153C22×C4—21no—
1154C22×C4—21no—
1155C22×C4—21no—
1156C22×C4—21no—
1157C22×C4—24no—
1158C22×C4—24no—
1159C22×C4—22no—
1160C22×C4—22no—
1161C22×C4—21no—
1162C22×C4—21no—
1163C22×C4—21no—
1164C22×C4—21no—
1165C22×C4—21no—
1166C22×C4—21no—
1167C22×C4—21no—
1168C22×C4—21no—
1169C22×C4—21no—
1170C22×C4—21no—
1171C22×C4—21no—
1172C22×C4—21no—
1173C22×C4—21no—
1174C22×C4—21no—
1175C22×C4—21no—
1176C22×C4—21no—
1177C22×C4—21no—
1178C22×C4—21no—
1179C22×C4—21no—
1180C22×C4—21no—
1181C22×C4—21no—
1182C22×C4—21no—
1183C22×C4—21no—
1184C22×C4—21no—
1185C22×C4—21no—
1186C22×C4—21no—
1187C22×C4—21no—
1188C22×C4—41no—
1189C22×C4—41no—
1190C22×C4—41no—
1191C22×C4—41no—
1192C22×C4—41no—
1193C22×C4—41no—
1194C22×C4—42no—
1195C22×C4—42no—
1196C22×C4—42no—
1197C22×C4—42no—
1198C22×C4—42no—
1199C22×C4—42no—
1200C22×C4—42no—
1201C22×C4—42no—
1202C22×C4—42no—
1203C22×C4—42no—
1204C22×C4—44no—
1205C22×C4—44no—
1206C22×C4—44no—
1207C22×C4—44no—
1208C22×C4—42no—
1209C22×C4—42no—
1210C22×C4—42no—
1211C22×C4—42no—
1212C22×C4—42no—
1213C22×C4—42no—
1214C22×C4—432no—
1215C22×C4—42no—
1216C22×C4—42no—
1217C22×C4—42no—
1218C22×C4—81no—
1219C22×C4—81no—
1220C22×C4—81no—
1221C22×C4—81no—
1222C22×C4—81no—
1223C22×C4—81no—
1224C22×C4—81no—
1225C22×C4—81no—
1226C22×C4—81no—
1227C22×C4—81no—
1228C22×C4—81no—
1229C22×C4C22×D411yescharacteristic
1230C22×C4C22×D411yescharacteristic
1231C22×C4C22×D411yescharacteristic
1232C22×C4C22×D411yescharacteristic
1233C22×C4C22×D411yescharacteristic
1234C22×C4C22×D411yescharacteristic
1235C22×C4C22×D411yescharacteristic
1236C22×C4C22×D411yescharacteristic
1237C22×C4C22×D411yescharacteristic
1238C22×C4C22×D412yes—
1239C22×C4C22×D411yescharacteristic
1240C22×C4H(5,𝔽2)12yes—
1241C22×C4C2511yescharacteristic
1242Q16—44no—
1243Q16—44no—
1244Q16—44no—
1245Q16—44no—
1246Q16—82no—
1247Q16—82no—
1248SD16—44no—
1249SD16—44no—
1250SD16—44no—
1251SD16—44no—
1252SD16—44no—
1253SD16—82no—
1254SD16—82no—
1255SD16—82no—
1256SD16—82no—
1257M16—44no—
1258M16—44no—
1259C2×C8—21no—
1260C2×C8—21no—
1261C2×C8—21no—
1262C2×C8—21no—
1263C2×C8—21no—
1264C2×C8—21no—
1265C2×C8—21no—
1266C2×C8—21no—
1267C2×C8—21no—
1268C2×C8—21no—
1269C2×C8—21no—
1270C2×C8—21no—
1271C2×C8—21no—
1272C2×C8—21no—
1273C2×C8—21no—
1274C2×C8—21no—
1275C2×C8—21no—
1276C2×C8—21no—
1277C2×C8—21no—
1278C2×C8—21no—
1279C2×C8—21no—
1280C2×C8—21no—
1281C2×C8—82no—
1282C2×C8C22×D412yes—
1283C2×C8C22×D412yes—
1284C4⋊C4—24no—
1285C4⋊C4—22no—
1286C4⋊C4—21no—
1287C4⋊C4—21no—
1288C4⋊C4—21no—
1289C4⋊C4—21no—
1290C4⋊C4—21no—
1291C4⋊C4—21no—
1292C4⋊C4—21no—
1293C4⋊C4—21no—
1294C4⋊C4—21no—
1295C4⋊C4—21no—
1296C4⋊C4—21no—
1297C4⋊C4—21no—
1298C4⋊C4—21no—
1299C4⋊C4—21no—
1300C4⋊C4—41no—
1301C4⋊C4—41no—
1302C4⋊C4—42no—
1303C4⋊C4—42no—
1304C4⋊C4—42no—
1305C4⋊C4—42no—
1306C4⋊C4—42no—
1307C4⋊C4—42no—
1308C4⋊C4—42no—
1309C4⋊C4—42no—
1310C4⋊C4—42no—
1311C4⋊C4—42no—
1312C4⋊C4—42no—
1313C4⋊C4—81no—
1314C4⋊C4—81no—
1315C4⋊C4—81no—
1316C4⋊C4—81no—
1317C4⋊C4—81no—
1318C4⋊C4—81no—
1319C4⋊C4—81no—
1320C4⋊C4—81no—
1321C4⋊C4—81no—
1322C4⋊C4—81no—
1323C4⋊C4C22×D412yes—
1324C4⋊C4C22×D412yes—
1325C22⋊C4—22no—
1326C22⋊C4—22no—
1327C22⋊C4—22no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—41no—
1331C22⋊C4—41no—
1332C22⋊C4—41no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—42no—
1338C22⋊C4—42no—
1339C22⋊C4—42no—
1340C22⋊C4—42no—
1341C22⋊C4—42no—
1342C22⋊C4—42no—
1343C22⋊C4—42no—
1344C22⋊C4—42no—
1345C22⋊C4—42no—
1346C22⋊C4—42no—
1347C22⋊C4—42no—
1348C22⋊C4—42no—
1349C22⋊C4—42no—
1350C22⋊C4—42no—
1351C22⋊C4—42no—
1352C22⋊C4—42no—
1353C22⋊C4—42no—
1354C22⋊C4—42no—
1355C22⋊C4—42no—
1356C22⋊C4—42no—
1357C22⋊C4—42no—
1358C22⋊C4—81no—
1359C22⋊C4—81no—
1360C22⋊C4—81no—
1361C22⋊C4—81no—
1362C22⋊C4—81no—
1363C22⋊C4—81no—
1364C22⋊C4—81no—
1365C22⋊C4—81no—
1366C22⋊C4—81no—
1367C22⋊C4—81no—
1368C22⋊C4—81no—
1369C22⋊C4—81no—
1370C42—21no—
1371C42—21no—
1372C42—21no—
1373C42—21no—
1374C42—21no—
1375C42—21no—
1376C42—42no—
1377C42—81no—
1378C42—81no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—22no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—22no—
1395C23—22no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—22no—
1406C23—21no—
1407C23—21no—
1408C23—44no—
1409C23—44no—
1410C23—48no—
1411C23—48no—
1412C23—41no—
1413C23—41no—
1414C23—41no—
1415C23—41no—
1416C23—41no—
1417C23—41no—
1418C23—41no—
1419C23—41no—
1420C23—41no—
1421C23—41no—
1422C23—41no—
1423C23—41no—
1424C23—41no—
1425C23—41no—
1426C23—41no—
1427C23—41no—
1428C23—41no—
1429C23—82no—
1430C23—82no—
1431C23—82no—
1432C23—84no—
1433C23—84no—
1434C23—84no—
1435C23—84no—
1436C23—84no—
1437C23—84no—
1438C23—84no—
1439C23—82no—
1440C23—82no—
1441C23—84no—
1442C23—84no—
1443C23—162no—
1444C23—162no—
1445C23—162no—
1446C23D4212yes—
1447C23C2×#13712yes—
1448C23C2×#13712yes—
1449C23C23×D411yescharacteristic
1450Q8—22no—
1451Q8—22no—
1452Q8—22no—
1453Q8—22no—
1454Q8—48no—
1455Q8—41no—
1456Q8—41no—
1457Q8—41no—
1458Q8—41no—
1459Q8—41no—
1460Q8—41no—
1461Q8—41no—
1462Q8—41no—
1463Q8—41no—
1464Q8—41no—
1465Q8—41no—
1466Q8—41no—
1467Q8—41no—
1468Q8—41no—
1469Q8—41no—
1470Q8—41no—
1471Q8—84no—
1472Q8—162no—
1473D4—22no—
1474D4—22no—
1475D4—22no—
1476D4—22no—
1477D4—22no—
1478D4—44no—
1479D4—44no—
1480D4—48no—
1481D4—48no—
1482D4—48no—
1483D4—48no—
1484D4—48no—
1485D4—41no—
1486D4—41no—
1487D4—41no—
1488D4—41no—
1489D4—41no—
1490D4—41no—
1491D4—84no—
1492D4—82no—
1493D4—84no—
1494D4—84no—
1495D4—84no—
1496D4—162no—
1497D4—162no—
1498D4—162no—
1499D4#53514yes—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—22no—
1519C2×C4—21no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—22no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—48no—
1537C2×C4—44no—
1538C2×C4—44no—
1539C2×C4—48no—
1540C2×C4—44no—
1541C2×C4—48no—
1542C2×C4—48no—
1543C2×C4—48no—
1544C2×C4—41no—
1545C2×C4—41no—
1546C2×C4—41no—
1547C2×C4—41no—
1548C2×C4—41no—
1549C2×C4—41no—
1550C2×C4—41no—
1551C2×C4—41no—
1552C2×C4—41no—
1553C2×C4—41no—
1554C2×C4—41no—
1555C2×C4—41no—
1556C2×C4—41no—
1557C2×C4—41no—
1558C2×C4—41no—
1559C2×C4—41no—
1560C2×C4—41no—
1561C2×C4—41no—
1562C2×C4—41no—
1563C2×C4—41no—
1564C2×C4—41no—
1565C2×C4—41no—
1566C2×C4—41no—
1567C2×C4—41no—
1568C2×C4—41no—
1569C2×C4—41no—
1570C2×C4—41no—
1571C2×C4—41no—
1572C2×C4—41no—
1573C2×C4—41no—
1574C2×C4—41no—
1575C2×C4—41no—
1576C2×C4—41no—
1577C2×C4—41no—
1578C2×C4—41no—
1579C2×C4—41no—
1580C2×C4—41no—
1581C2×C4—41no—
1582C2×C4—41no—
1583C2×C4—41no—
1584C2×C4—41no—
1585C2×C4—41no—
1586C2×C4—41no—
1587C2×C4—41no—
1588C2×C4—41no—
1589C2×C4—41no—
1590C2×C4—41no—
1591C2×C4—84no—
1592C2×C4—84no—
1593C2×C4—84no—
1594C2×C4—162no—
1595C2×C4—162no—
1596C2×C4—162no—
1597C2×C4D4212yes—
1598C2×C4C2×#13712yes—
1599C2×C4C23×D411yescharacteristic
1600C2×C4C2×H(5,𝔽2)11yescharacteristic
1601C2×C4C2×H(5,𝔽2)11yescharacteristic
1602C2×C4C2×H(5,𝔽2)11yescharacteristic
1603C2×C4C2×H(5,𝔽2)11yescharacteristic
1604C2×C4C2×H(5,𝔽2)11yescharacteristic
1605C8—22no—
1606C8—22no—
1607C8—41no—
1608C8—41no—
1609C8—41no—
1610C8—41no—
1611C8—41no—
1612C8—41no—
1613C22—22no—
1614C22—24no—
1615C22—22no—
1616C22—22no—
1617C22—22no—
1618C22—22no—
1619C22—22no—
1620C22—22no—
1621C22—22no—
1622C22—22no—
1623C22—41no—
1624C22—41no—
1625C22—42no—
1626C22—41no—
1627C22—42no—
1628C22—41no—
1629C22—42no—
1630C22—41no—
1631C22—41no—
1632C22—42no—
1633C22—41no—
1634C22—41no—
1635C22—41no—
1636C22—42no—
1637C22—42no—
1638C22—41no—
1639C22—41no—
1640C22—41no—
1641C22—42no—
1642C22—41no—
1643C22—42no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—42no—
1649C22—41no—
1650C22—41no—
1651C22—88no—
1652C22—816no—
1653C22—81no—
1654C22—81no—
1655C22—81no—
1656C22—81no—
1657C22—81no—
1658C22—81no—
1659C22—81no—
1660C22—81no—
1661C22—81no—
1662C22—81no—
1663C22—81no—
1664C22—168no—
1665C22C2×D4211yescharacteristic
1666C22#348411yescharacteristic
1667C22#348411yescharacteristic
1668C22C22×#13711yescharacteristic
1669C22#358411yescharacteristic
1670C22#358511yescharacteristic
1671C22#358611yescharacteristic
1672C4—22no—
1673C4—22no—
1674C4—41no—
1675C4—41no—
1676C4—41no—
1677C4—42no—
1678C4—42no—
1679C4—41no—
1680C4—41no—
1681C4—42no—
1682C4—42no—
1683C4—41no—
1684C4—41no—
1685C4—41no—
1686C4—81no—
1687C4—81no—
1688C4—81no—
1689C4—81no—
1690C4—81no—
1691C4—81no—
1692C4—81no—
1693C4—81no—
1694C4—81no—
1695C4C2×#53511yescharacteristic
1696C4#348411yescharacteristic
1697C4#353211yescharacteristic
1698C4#353211yescharacteristic
1699C2—42no—
1700C2—42no—
1701C2—42no—
1702C2—44no—
1703C2—81no—
1704C2—82no—
1705C2—161no—
1706C2#3764511yescharacteristic
1707C2D4×#13711yescharacteristic
1708C2#6107411yescharacteristic
1709C2#6157011yescharacteristic
1710C2#6160711yescharacteristic
1711C2#6161311yescharacteristic
1712C2#6165411yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#36212C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C4×#120 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3314C2semidirect
2. C2×#3007C2semidirect
3. #39594C2semidirect
5. #32883C2semidirect
6. #31041C2semidirect
7. #31019C2semidirect
8. #30546C2semidirect
9. #30536C2semidirect
10. #30507C2semidirect
11. #30504C2semidirect
12. #30473C2semidirect
13. #30459C2semidirect
14. #29744C2semidirect
15. #29595C2semidirect
16. #27245C2semidirect
17. #27237C2semidirect
18. #25790C2semidirect
19. #25769C2semidirect
20. #25753C2semidirect
21. #25176C2semidirect
22. #25166C2semidirect
23. #24490C2semidirect
24. #24432C2semidirect
25. #24426C2semidirect
26. #24376C2semidirect
27. #24274C2semidirect
28. #23981C2semidirect
29. #23862C2semidirect
30. #22578C2semidirect
31. #22036C2semidirect
34. C22×#137C22semidirect
35. C2×#554C22semidirect
39. C22×C22⋊Q8C22semidirect
41. C2×#497C22semidirect
42. C2×#492C22semidirect
43. C2×#489C22semidirect
44. C2×#484C22semidirect
45. C2×#480C22semidirect
46. C2×#474C22semidirect
47. C2×#468C22semidirect
48. C2×#467C22semidirect
49. C2×#467C22semidirect
50. C2×#465C22semidirect
51. C2×#464C22semidirect
52. C2×#461C22semidirect
53. C2×#461C22semidirect
59. C2×#452C22semidirect
60. C2×#452C22semidirect
61. C2×#452C22semidirect
62. C2×#452C22semidirect
63. C2×#451C22semidirect
64. C2×#451C22semidirect
65. C2×#451C22semidirect
66. C2×#448C22semidirect
70. C2×#450C22semidirect
71. C2×#450C22semidirect
72. C2×#450C22semidirect
73. C2×#440C22semidirect
74. C2×#435C22semidirect
76. C2×#417C22semidirect
77. C22×#102C22semidirect
78. C2×#407C22semidirect
80. #2848C22semidirect
88. #2542C22semidirect
90. #2492C22semidirect
91. #2492C22semidirect
94. #2434C22semidirect
99. #2429C22semidirect
100. #2429C22semidirect
102. #2417C22semidirect
105. #2409C22semidirect
111. #2345C22semidirect
118. #2076C22semidirect
119. #2075C22semidirect
120. #2068C22semidirect
121. #2067C22semidirect
122. #2056C22semidirect
123. #2056C22semidirect
124. #2056C22semidirect
125. #2055C22semidirect
126. #2042C22semidirect
127. #2041C22semidirect
128. #2036C22semidirect
129. #2036C22semidirect
130. #2036C22semidirect
131. #2036C22semidirect
132. #2036C22semidirect
133. #2035C22semidirect
135. #2033C22semidirect
136. #2024C22semidirect
137. #2023C22semidirect
138. #2016C22semidirect
139. #2016C22semidirect
140. #2016C22semidirect
141. #2015C22semidirect
142. #2015C22semidirect
143. #2015C22semidirect
144. #2014C22semidirect
145. #2013C22semidirect
146. #2001C22semidirect
147. #2001C22semidirect
148. #2001C22semidirect
149. #2001C22semidirect
153. #2000C22semidirect
154. #2000C22semidirect
155. #2000C22semidirect
156. #2000C22semidirect
157. #2000C22semidirect
158. #1983C22semidirect
159. #1982C22semidirect
160. #1973C22semidirect
161. #1973C22semidirect
162. #1971C22semidirect
163. #1969C22semidirect
164. #1955C22semidirect
166. #1935C22semidirect
167. #1933C22semidirect
168. #1928C22semidirect
169. #1928C22semidirect
170. #1927C22semidirect
171. #1925C22semidirect
172. #1924C22semidirect
173. #1924C22semidirect
174. #1924C22semidirect
175. #1923C22semidirect
176. #1895C22semidirect
177. #1894C22semidirect
178. #1880C22semidirect
179. #1878C22semidirect
180. #1877C22semidirect
181. #1877C22semidirect
182. #1877C22semidirect
183. #1877C22semidirect
184. #1874C22semidirect
185. #1872C22semidirect
186. #1870C22semidirect
188. #1869C22semidirect
189. #1864C22semidirect
190. #1862C22semidirect
191. #1851C22semidirect
192. #1823C22semidirect
193. #1809C22semidirect
196. #1788C22semidirect
197. #1788C22semidirect
198. #1787C22semidirect
199. #1787C22semidirect
201. #1779C22semidirect
202. #1762C22semidirect
203. C4×#102C22semidirect
204. #1753C22semidirect
354. #417D4semidirect
711. C2×M16C2×D4semidirect
827. C2×C4⋊C4C2×D4semidirect
916. #103C2×D4semidirect
917. #103C2×D4semidirect
1142. C2×D4#137semidirect

Maximal subgroups

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

subgroupindex
C2×#33142
C2×#30072
#395942
#362122
#328832
#310412
#310192
#305462
#305362
#305072
#305042
#304732
#304592
#297442
#295952
#272452
#272372
#257902
#257692
#257532
#251762
#251662
#244902
#244322
#244262
#243762
#242742
#239812
#238622
#225782
#220362