Finite Group Databasebeta

← #6996736

Subgroups — #6996736

Order 512.

2585 conjugacy classes of subgroups.

The subgroup lattice has 1725 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3272C211yesmaximal, characteristic, complemented
2C2×#3196C211yesmaximal, characteristic, complemented
3#59004C211yesmaximal, characteristic, complemented
4#59002C211yesmaximal, characteristic, complemented
5#31037C211yesmaximal, characteristic, complemented
6#31024C211yesmaximal, characteristic, complemented
7#30731C211yesmaximal, characteristic, complemented
8#30728C211yesmaximal, characteristic, complemented
9#30469C211yesmaximal, characteristic, complemented
10#30459C211yesmaximal, characteristic, complemented
11#30453C211yesmaximal, characteristic, complemented
12#30446C211yesmaximal, characteristic, complemented
13#28568C211yesmaximal, characteristic, complemented
14#26943C211yesmaximal, characteristic, complemented
15#26941C211yesmaximal, characteristic, complemented
16#26618C211yesmaximal, characteristic, complemented
17#26617C211yesmaximal, characteristic, complemented
18#25796C211yesmaximal, characteristic, complemented
19#25769C211yesmaximal, characteristic, complemented
20#25761C211yesmaximal, characteristic, complemented
21#25105C211yesmaximal, characteristic, complemented
22#25094C211yesmaximal, characteristic, complemented
23#24448C211yesmaximal, characteristic, complemented
24#24446C211yesmaximal, characteristic, complemented
25#23923C211yesmaximal, characteristic, complemented
26#23919C211yesmaximal, characteristic, complemented
27#23866C211yesmaximal, characteristic, complemented
28#23863C211yesmaximal, characteristic, complemented
29#23391C211yesmaximal, characteristic, complemented
30#23141C211yesmaximal, characteristic, complemented
31#22038C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic
33C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
34C2×#548C2211yescharacteristic, complemented
35C2×#547C2211yescharacteristic
36C2×#546C2211yescharacteristic
37C2×D42C2211yescharacteristic
38C2×#525C2211yescharacteristic
39C2×#525C2211yescharacteristic, complemented
40C22×C22⋊Q8C2211yescharacteristic, complemented
41C22×#121C2211yescharacteristic
42#3272—28no—
43#3196—28no—
44C2×#497C2211yescharacteristic, complemented
45C2×#495C2211yescharacteristic, complemented
46C2×#492C2211yescharacteristic, complemented
47C2×#484C2211yescharacteristic, complemented
48C2×#481C2211yescharacteristic, complemented
49C2×#485C2211yescharacteristic, complemented
50C2×#485C2211yescharacteristic, complemented
51C2×#470C2211yescharacteristic, complemented
52C2×#470C2211yescharacteristic, complemented
53C2×#468C2211yescharacteristic
54C2×#468C2211yescharacteristic
55C2×#468C2211yescharacteristic, complemented
56C2×#464C2211yescharacteristic, complemented
57C2×#461C2211yescharacteristic, complemented
58C2×#461C2211yescharacteristic, complemented
59C2×#459C2211yescharacteristic, complemented
60C2×#452C2211yescharacteristic, complemented
61C2×#452C2211yescharacteristic, complemented
62C2×#452C2211yescharacteristic, complemented
63C2×#452C2211yescharacteristic, complemented
64C2×#452C2211yescharacteristic, complemented
65C2×#449C2211yescharacteristic
66C2×#449C2211yescharacteristic, complemented
67C2×#449C2211yescharacteristic, complemented
68C2×#451C2211yescharacteristic, complemented
69C2×#448C2211yescharacteristic
70C2×#448C2211yescharacteristic, complemented
71C2×#448C2211yescharacteristic, complemented
72C2×#450C2211yescharacteristic
73C2×#450C2211yescharacteristic
74C2×#450C2211yescharacteristic, complemented
75C2×#450C2211yescharacteristic, complemented
76C2×C4×D8C2211yescharacteristic, complemented
77C2×#436C2211yescharacteristic
78C2×#417C2211yescharacteristic, complemented
79C2×#418C2211yescharacteristic
80C2×#407C2211yescharacteristic, complemented
81#2680—21no—
82#2678—21no—
83#2672—21no—
84#2671—21no—
85#2542C2211yescharacteristic, complemented
86#2540C2211yescharacteristic
87#2464—21no—
88#2461—21no—
89#2449—21no—
90#2443—21no—
91#2435C2211yescharacteristic
92#2434C2211yescharacteristic, complemented
93#2432C2211yescharacteristic, complemented
94#2431C2211yescharacteristic
95#2429C2211yescharacteristic, complemented
96#2428C2211yescharacteristic
97#2427C2211yescharacteristic
98#2427C2211yescharacteristic, complemented
99#2424—21no—
100#2424—21no—
101#2418—21no—
102#2418—21no—
103#2417C2211yescharacteristic
104#2417C2211yescharacteristic, complemented
105#2415C2211yescharacteristic
106#2414C2211yescharacteristic
107#2408—21no—
108#2408C2211yescharacteristic
109#2407C2211yescharacteristic, complemented
110#2403—21no—
111#2363C2211yescharacteristic
112#2362C2211yescharacteristic, complemented
113#2361C2211yescharacteristic
114#2361C2211yescharacteristic, complemented
115D4×C4⋊C4—21no—
116D4×C22⋊C4—21no—
117C4×#120C2211yescharacteristic
118#2088C2211yescharacteristic, complemented
119#2077C2211yescharacteristic, complemented
120#2067C2211yescharacteristic, complemented
121#2065C2211yescharacteristic, complemented
122#2056C2211yescharacteristic, complemented
123#2055C2211yescharacteristic, complemented
124#2055C2211yescharacteristic, complemented
125#2043C2211yescharacteristic, complemented
126#2043C2211yescharacteristic, complemented
127#2042C2211yescharacteristic, complemented
128#2041C2211yescharacteristic, complemented
129#2035C2211yescharacteristic, complemented
130#2033C2211yescharacteristic, complemented
131#2016C2211yescharacteristic, complemented
132#2015C2211yescharacteristic, complemented
133#2015C2211yescharacteristic, complemented
134#2014C2211yescharacteristic, complemented
135#2013C2211yescharacteristic, complemented
136#2012C2211yescharacteristic, complemented
137#2012C2211yescharacteristic, complemented
138#2012C2211yescharacteristic, complemented
139#2001C2211yescharacteristic, complemented
140#2001C2211yescharacteristic, complemented
141#2001C2211yescharacteristic, complemented
142#2000C2211yescharacteristic
143#2000C2211yescharacteristic
144#2000C2211yescharacteristic
145#2000C2211yescharacteristic
146#2000C2211yescharacteristic, complemented
147#2000C2211yescharacteristic, complemented
148#2000C2211yescharacteristic, complemented
149#2000C2211yescharacteristic, complemented
150#2000C2211yescharacteristic, complemented
151#2000C2211yescharacteristic, complemented
152#2000C2211yescharacteristic, complemented
153#1999C2211yescharacteristic
154#1999C2211yescharacteristic
155#1999C2211yescharacteristic, complemented
156#1999C2211yescharacteristic, complemented
157#1999C2211yescharacteristic, complemented
158#1983C2211yescharacteristic, complemented
159#1983C2211yescharacteristic, complemented
160#1972C2211yescharacteristic, complemented
161#1968C2211yescharacteristic, complemented
162#1955C2211yescharacteristic, complemented
163#1954C2211yescharacteristic, complemented
164#1935C2211yescharacteristic, complemented
165#1934C2211yescharacteristic, complemented
166#1933C2211yescharacteristic, complemented
167#1933C2211yescharacteristic, complemented
168#1928C2211yescharacteristic, complemented
169#1926C2211yescharacteristic, complemented
170#1924C2211yescharacteristic, complemented
171#1923C2211yescharacteristic, complemented
172#1923C2211yescharacteristic, complemented
173#1923C2211yescharacteristic, complemented
174#1921C2211yescharacteristic, complemented
175#1918C2211yescharacteristic, complemented
176#1894C2211yescharacteristic, complemented
177#1894C2211yescharacteristic, complemented
178#1880C2211yescharacteristic, complemented
179#1880C2211yescharacteristic, complemented
180#1879C2211yescharacteristic, complemented
181#1877C2211yescharacteristic, complemented
182#1877C2211yescharacteristic, complemented
183#1877C2211yescharacteristic, complemented
184#1875C2211yescharacteristic
185#1875C2211yescharacteristic, complemented
186#1874C2211yescharacteristic
187#1874C2211yescharacteristic, complemented
188#1873C2211yescharacteristic, complemented
189#1873C2211yescharacteristic, complemented
190#1872C2211yescharacteristic, complemented
191#1872C2211yescharacteristic, complemented
192#1870C2211yescharacteristic
193#1870C2211yescharacteristic, complemented
194#1870C2211yescharacteristic, complemented
195#1864C2211yescharacteristic, complemented
196#1862C2211yescharacteristic, complemented
197#1851C2211yescharacteristic, complemented
198#1788C2211yescharacteristic, complemented
199#1786C2211yescharacteristic, complemented
200#1779C2211yescharacteristic, complemented
201#1762C2211yescharacteristic, complemented
202C4×#103C2211yescharacteristic, complemented
203#1753C2211yescharacteristic, complemented
204#1736C2211yescharacteristic, complemented
205C22×#41C2311yescharacteristic
206C22×#41C2311yescharacteristic
207C22×#41C2311yescharacteristic
208C23×Q8C2311yescharacteristic
209C23×D4—21no—
210C23×D4—21no—
211C23×D4C2311yescharacteristic
212C23×D4C2311yescharacteristic
213C24×C4C2311yescharacteristic
214C2×AGL(1,ℤ/8)—24no—
215C2×AGL(1,ℤ/8)—24no—
216C2×AGL(1,ℤ/8)—42no—
217C2×AGL(1,ℤ/8)—42no—
218C2×AGL(1,ℤ/8)—42no—
219C2×AGL(1,ℤ/8)—42no—
220C22×Q16C2311yescharacteristic
221C22×Q16C2311yescharacteristic
222C22×Q16C2311yescharacteristic
223C22×SD16C2311yescharacteristic
224C22×SD16C2311yescharacteristic
225C22×SD16C2311yescharacteristic
226C22×SD16C2311yescharacteristic
227C22×SD16C2311yescharacteristic
228C22×SD16C2311yescharacteristic
229C22×SD16C2311yescharacteristic
230C22×SD16C2311yescharacteristic
231C22×SD16C2311yescharacteristic
232C22×SD16C2311yescharacteristic
233C22×D8C2311yescharacteristic
234C22×D8C2311yescharacteristic
235C22×D8C2311yescharacteristic
236C22×M16C2311yescharacteristic
237C22×M16C2311yescharacteristic
238C22×M16C2311yescharacteristic
239#548—42no—
240#548—42no—
241#547—24no—
242#547—42no—
243#546—42no—
244#546—42no—
245D42—24no—
246D42—42no—
247C2×C4⋊Q8C2311yescharacteristic
248C2×C4⋊Q8C2311yescharacteristic
249C2×#127C2311yescharacteristic
250C2×#124—21no—
251C2×#124C2311yescharacteristic
252C2×#124C2311yescharacteristic
253C2×#124C2311yescharacteristic
254#525—24no—
255#525—42no—
256#525—42no—
257#525—42no—
258C2×#123—21no—
259C2×#123—21no—
260C2×#123—21no—
261C2×#123—21no—
262C2×#123—21no—
263C2×C22⋊Q8—21no—
264C2×C22⋊Q8—21no—
265C2×C22⋊Q8—21no—
266C2×C22⋊Q8—24no—
267C2×C22⋊Q8—42no—
268C2×C22⋊Q8C2311yescharacteristic
269C2×C22⋊Q8C2311yescharacteristic
270C2×C22⋊Q8C2311yescharacteristic
271C2×C22⋊Q8C2311yescharacteristic
272C2×C22⋊Q8C2311yescharacteristic
273C2×C22⋊Q8C2311yescharacteristic
274C2×C22⋊Q8C2311yescharacteristic
275C2×C22⋊Q8C2311yescharacteristic
276C2×C22⋊Q8C2311yescharacteristic
277C2×C22⋊Q8C2311yescharacteristic
278C2×C22⋊Q8C2311yescharacteristic
279C2×#121—21no—
280C2×#121—21no—
281C2×#121—21no—
282C2×#121—21no—
283C2×#121—21no—
284C2×#121—21no—
285C2×#121—21no—
286C2×#121—42no—
287C2×#121—42no—
288C2×#121C2311yescharacteristic
289C2×#121C2311yescharacteristic
290C2×#121C2311yescharacteristic
291C2×#121C2311yescharacteristic
292C2×#121C2311yescharacteristic
293C2×#121C2311yescharacteristic
294C2×#121C2311yescharacteristic
295C2×#121C2311yescharacteristic
296C2×#121C2311yescharacteristic
297C2×#120—21no—
298C2×#120—21no—
299C2×#120—21no—
300C2×#120—21no—
301C2×#120—21no—
302C2×#120—21no—
303C2×#120D411yescharacteristic
304C2×C4×Q8C2311yescharacteristic
305C2×C4×D4—21no—
306C2×C4×D4—21no—
307C2×C4×D4—21no—
308C2×C4×D4—21no—
309C2×C4×D4—21no—
310C2×C4×D4—21no—
311C2×C4×D4—21no—
312C2×C4×D4C2311yescharacteristic
313C2×C4×D4C2311yescharacteristic
314C2×C4×D4C2311yescharacteristic
315C2×C4×D4C2311yescharacteristic
316C2×C4×D4C2311yescharacteristic
317C2×C4×D4C2311yescharacteristic
318C2×#117C2311yescharacteristic
319C2×#117C2311yescharacteristic
320C22×C4⋊C4—21no—
321C22×C4⋊C4—21no—
322C22×C4⋊C4C2311yescharacteristic
323C22×C4⋊C4C2311yescharacteristic
324C22×C22⋊C4—21no—
325C22×C22⋊C4—21no—
326C22×C22⋊C4—21no—
327#497—42no—
328#495—42no—
329#492—24no—
330#485—24no—
331#485—24no—
332#484—24no—
333#481—24no—
334#470—24no—
335#470—24no—
336#468—24no—
337#468—24no—
338#468D418yescomplemented
339#464—42no—
340#461—24no—
341#461—42no—
342#459—24no—
343#452—24no—
344#452—24no—
345#452—42no—
346#452—42no—
347#452—42no—
348#451—24no—
349#450—24no—
350#450—24no—
351#450—42no—
352#450—42no—
353#449—24no—
354#449—24no—
355#449—42no—
356#448—24no—
357#448—42no—
358#448—42no—
359C4×D8—24no—
360#436—24no—
361C2×#107C2311yescharacteristic
362C2×#107C2311yescharacteristic
363C2×#106C2311yescharacteristic
364C2×#106C2311yescharacteristic
365C2×C4⋊C8C2311yescharacteristic
366C2×C4⋊C8C2311yescharacteristic
367C2×C4⋊C8C2311yescharacteristic
368#418—42no—
369#417—42no—
370C2×#103C2311yescharacteristic
371C2×#103C2311yescharacteristic
372C2×#103C2311yescharacteristic
373C2×#103C2311yescharacteristic
374C2×#103C2311yescharacteristic
375C2×#103C2311yescharacteristic
376C2×#103C2311yescharacteristic
377C2×#103C2311yescharacteristic
378C2×#103C2311yescharacteristic
379C2×#103C2311yescharacteristic
380C2×#103C2311yescharacteristic
381C2×#103C2311yescharacteristic
382C2×#103C2311yescharacteristic
383C2×#103C2311yescharacteristic
384C2×#103C2311yescharacteristic
385C2×#103C2311yescharacteristic
386C2×#102C2311yescharacteristic
387C2×#102C2311yescharacteristic
388C2×#102C2311yescharacteristic
389C2×#102C2311yescharacteristic
390C2×#102C2311yescharacteristic
391C2×#102C2311yescharacteristic
392C2×#102C2311yescharacteristic
393C2×#102C2311yescharacteristic
394C2×#102C2311yescharacteristic
395C2×#102C2311yescharacteristic
396C2×#102C2311yescharacteristic
397C2×#102C2311yescharacteristic
398C2×#102C2311yescharacteristic
399C2×#102C2311yescharacteristic
400C2×#102C2311yescharacteristic
401C2×#102C2311yescharacteristic
402#407—24no—
403C2×C22⋊C8C2311yescharacteristic
404C2×C22⋊C8C2311yescharacteristic
405C2×C22⋊C8C2311yescharacteristic
406C2×C22⋊C8C2311yescharacteristic
407C2×C22⋊C8C2311yescharacteristic
408C2×C22⋊C8C2311yescharacteristic
409C2×C22⋊C8C2311yescharacteristic
410C2×C22⋊C8C2311yescharacteristic
411C2×C22⋊C8C2311yescharacteristic
412C2×C22⋊C8C2311yescharacteristic
413C2×C22⋊C8C2311yescharacteristic
414C2×C22⋊C8C2311yescharacteristic
415C2×C22⋊C8C2311yescharacteristic
416C2×#97C2311yescharacteristic
417C2×C4×C8C2311yescharacteristic
418C2×C4×C8C2311yescharacteristic
419#399—21no—
420#399—21no—
421#399—21no—
422#398—21no—
423#398—21no—
424#398—21no—
425#397—21no—
426#397—21no—
427#397—21no—
428#396—21no—
429#396—21no—
430#396—21no—
431#395—21no—
432#395—21no—
433#394—21no—
434#394—21no—
435#394—21no—
436#394—21no—
437#394—21no—
438#394—21no—
439#394—21no—
440#394—21no—
441#394—21no—
442#394—21no—
443#394—21no—
444#392—21no—
445#392—21no—
446#392—21no—
447#392—21no—
448#392—21no—
449#392—21no—
450#392—21no—
451#391C2311yescharacteristic
452#391C2311yescharacteristic
453#391C2311yescharacteristic
454#391C2311yescharacteristic
455#390—21no—
456#390—21no—
457#390—21no—
458#390—21no—
459#390—21no—
460#390C2311yescharacteristic
461#390C2311yescharacteristic
462#390C2311yescharacteristic
463#390C2311yescharacteristic
464#389—21no—
465#389—21no—
466#389C2311yescharacteristic
467#389C2311yescharacteristic
468#389C2311yescharacteristic
469#389C2311yescharacteristic
470#388—21no—
471#388—21no—
472#388—21no—
473#388—21no—
474#388—21no—
475#388—21no—
476#388—21no—
477#388—21no—
478#387—21no—
479#386—21no—
480#386—21no—
481#386—21no—
482#386—21no—
483#386—21no—
484#386—21no—
485#386—21no—
486#386—21no—
487#386—21no—
488#386—21no—
489#386—21no—
490#386D411yescharacteristic
491#386D411yescharacteristic
492#386D411yescharacteristic
493#385—21no—
494#385—21no—
495#385—21no—
496#385—21no—
497#385—21no—
498#385—21no—
499#385—21no—
500#385D411yescharacteristic
501#385D411yescharacteristic
502#385D411yescharacteristic
503#384—21no—
504#380—21no—
505#380—21no—
506#380—21no—
507#380—21no—
508#380C2311yescharacteristic
509#380C2311yescharacteristic
510#379—21no—
511#379—21no—
512#379—21no—
513#379D411yescharacteristic
514C4×C4⋊C4—21no—
515C4×C4⋊C4C2311yescharacteristic
516C4×C4⋊C4C2311yescharacteristic
517C4×C22⋊C4—21no—
518C4×C22⋊C4C2311yescharacteristic
519C4×C22⋊C4C2311yescharacteristic
520C4×C22⋊C4C2311yescharacteristic
521#340C2311yescharacteristic
522#340C2311yescharacteristic
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—41no—
549C2×#41—41no—
550C2×#41—41no—
551C2×#41—41no—
552C2×#41—41no—
553C2×#41—41no—
554C2×#41—41no—
555C2×#41—41no—
556C2×#41—41no—
557C2×#41—41no—
558C2×#41—41no—
559C2×#41—41no—
560C22×Q8—21no—
561C22×Q8—22no—
562C22×Q8—41no—
563C22×Q8—41no—
564C22×Q8—41no—
565C22×Q8—41no—
566C22×Q8—41no—
567C22×Q8C2411yescharacteristic
568C22×Q8C2411yescharacteristic
569C22×Q8C2411yescharacteristic
570C22×Q8C2411yescharacteristic
571C22×D4—21no—
572C22×D4—21no—
573C22×D4—21no—
574C22×D4—22no—
575C22×D4—22no—
576C22×D4—22no—
577C22×D4—21no—
578C22×D4—21no—
579C22×D4—21no—
580C22×D4—21no—
581C22×D4—21no—
582C22×D4—21no—
583C22×D4—21no—
584C22×D4—21no—
585C22×D4—21no—
586C22×D4—22no—
587C22×D4—21no—
588C22×D4—21no—
589C22×D4—21no—
590C22×D4—21no—
591C22×D4—22no—
592C22×D4—41no—
593C22×D4—41no—
594C22×D4—41no—
595C22×D4—41no—
596C22×D4—41no—
597C22×D4—41no—
598C22×D4—41no—
599C22×D4—44no—
600C22×D4—44no—
601C22×D4—44no—
602C22×D4—82no—
603C22×D4—82no—
604C22×D4—82no—
605C22×D4C2×D411yescharacteristic
606C22×D4C2×D411yescharacteristic
607C22×D4C2×D411yescharacteristic
608C22×D4C2411yescharacteristic
609C22×D4C2411yescharacteristic
610C22×D4C2411yescharacteristic
611C22×D4C2411yescharacteristic
612C23×C4—22no—
613C23×C4—22no—
614C23×C4—21no—
615C23×C4—21no—
616C23×C4—21no—
617C23×C4—21no—
618C23×C4—21no—
619C23×C4—21no—
620C23×C4—21no—
621C23×C4—21no—
622C23×C4—21no—
623C23×C4—41no—
624C23×C4—41no—
625C23×C4—41no—
626C23×C4—41no—
627C23×C4C2×D411yescharacteristic
628C23×C4C2×D411yescharacteristic
629C23×C4C2×D411yescharacteristic
630C23×C4C2411yescharacteristic
631C23×C4C2411yescharacteristic
632C23×C4C2411yescharacteristic
633C23×C4C2411yescharacteristic
634AGL(1,ℤ/8)—416no—
635AGL(1,ℤ/8)—416no—
636C2×Q16—22no—
637C2×Q16—22no—
638C2×Q16—41no—
639C2×Q16—41no—
640C2×Q16—41no—
641C2×Q16—41no—
642C2×Q16—41no—
643C2×Q16—41no—
644C2×Q16—41no—
645C2×SD16—22no—
646C2×SD16—22no—
647C2×SD16—22no—
648C2×SD16—22no—
649C2×SD16—22no—
650C2×SD16—22no—
651C2×SD16—22no—
652C2×SD16—22no—
653C2×SD16—22no—
654C2×SD16—22no—
655C2×SD16—41no—
656C2×SD16—41no—
657C2×SD16—41no—
658C2×SD16—41no—
659C2×SD16—41no—
660C2×SD16—41no—
661C2×SD16—41no—
662C2×SD16—41no—
663C2×SD16—41no—
664C2×SD16—41no—
665C2×SD16—41no—
666C2×SD16—41no—
667C2×SD16—41no—
668C2×SD16—41no—
669C2×SD16—41no—
670C2×SD16—41no—
671C2×SD16—41no—
672C2×SD16—41no—
673C2×SD16—41no—
674C2×SD16C2×D414yescomplemented
675C2×D8—22no—
676C2×D8—22no—
677C2×D8—22no—
678C2×D8—22no—
679C2×D8—22no—
680C2×D8—22no—
681C2×D8—22no—
682C2×D8—41no—
683C2×D8—41no—
684C2×M16—22no—
685C2×M16—22no—
686C2×M16—41no—
687C2×M16—41no—
688C2×M16—41no—
689C2×M16—41no—
690C2×M16—41no—
691C2×M16—41no—
692C2×M16C2×D414yes—
693C22×C8C2411yescharacteristic
694C22×C8C2411yescharacteristic
695C22×C8C2411yescharacteristic
696C22×C8C2411yescharacteristic
697C22×C8C2411yescharacteristic
698C22×C8C2411yescharacteristic
699C22×C8C2411yescharacteristic
700C22×C8C2411yescharacteristic
701C4⋊Q8—22no—
702C4⋊Q8—41no—
703C4⋊Q8—41no—
704C4⋊Q8—41no—
705#127—22no—
706#127—41no—
707#124—22no—
708#124—22no—
709#124—41no—
710#124—41no—
711#124—41no—
712#124—41no—
713#124—44no—
714#123—44no—
715#123—44no—
716#123—44no—
717#123—44no—
718#123—44no—
719C22⋊Q8—22no—
720C22⋊Q8—22no—
721C22⋊Q8—22no—
722C22⋊Q8—22no—
723C22⋊Q8—22no—
724C22⋊Q8—22no—
725C22⋊Q8—22no—
726C22⋊Q8—22no—
727C22⋊Q8—22no—
728C22⋊Q8—22no—
729C22⋊Q8—22no—
730C22⋊Q8—22no—
731C22⋊Q8—44no—
732C22⋊Q8—44no—
733C22⋊Q8—41no—
734C22⋊Q8—41no—
735C22⋊Q8—41no—
736C22⋊Q8—41no—
737C22⋊Q8—41no—
738C22⋊Q8—41no—
739C22⋊Q8—41no—
740C22⋊Q8—41no—
741C22⋊Q8—41no—
742C22⋊Q8—44no—
743C22⋊Q8C2×D414yes—
744#121—22no—
745#121—22no—
746#121—22no—
747#121—22no—
748#121—22no—
749#121—22no—
750#121—22no—
751#121—22no—
752#121—22no—
753#121—22no—
754#121—44no—
755#121—44no—
756#121—44no—
757#121—41no—
758#121—41no—
759#121—41no—
760#121—41no—
761#121—41no—
762#121—41no—
763#121—41no—
764#121—44no—
765#121—44no—
766#121—44no—
767#121—82no—
768#121C2×D414yes—
769#120—42no—
770#120—44no—
771#120—44no—
772#120—44no—
773#120—44no—
774#120—44no—
775#120—82no—
776C4×Q8—22no—
777C4×Q8—41no—
778C4×D4—22no—
779C4×D4—22no—
780C4×D4—22no—
781C4×D4—22no—
782C4×D4—22no—
783C4×D4—41no—
784C4×D4—41no—
785C4×D4—41no—
786C4×D4—41no—
787C4×D4—41no—
788C4×D4—41no—
789C4×D4—41no—
790C4×D4—44no—
791C4×D4—44no—
792C4×D4—44no—
793C4×D4—44no—
794C4×D4—44no—
795C4×D4—44no—
796C4×D4—82no—
797#117—22no—
798#117—22no—
799#117—41no—
800#117—41no—
801C2×C4⋊C4—21no—
802C2×C4⋊C4—22no—
803C2×C4⋊C4—22no—
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—21no—
823C2×C4⋊C4—21no—
824C2×C4⋊C4—21no—
825C2×C4⋊C4—41no—
826C2×C4⋊C4—41no—
827C2×C4⋊C4—44no—
828C2×C4⋊C4—44no—
829C2×C4⋊C4C2×D411yescharacteristic
830C2×C4⋊C4C2×D411yescharacteristic
831C2×C4⋊C4C2×D411yescharacteristic
832C2×C4⋊C4C2411yescharacteristic
833C2×C4⋊C4C2411yescharacteristic
834C2×C4⋊C4C2411yescharacteristic
835C2×C4⋊C4C2411yescharacteristic
836C2×C4⋊C4C2411yescharacteristic
837C2×C4⋊C4C2411yescharacteristic
838C2×C4⋊C4C2411yescharacteristic
839C2×C4⋊C4C2411yescharacteristic
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—21no—
870C2×C22⋊C4—21no—
871C2×C22⋊C4—21no—
872C2×C22⋊C4—21no—
873C2×C22⋊C4—21no—
874C2×C22⋊C4—21no—
875C2×C22⋊C4—21no—
876C2×C22⋊C4—21no—
877C2×C22⋊C4—21no—
878C2×C22⋊C4—21no—
879C2×C22⋊C4—21no—
880C2×C22⋊C4—21no—
881C2×C22⋊C4—44no—
882C2×C22⋊C4—44no—
883C2×C22⋊C4—44no—
884C2×C22⋊C4C2×D411yescharacteristic
885C2×C22⋊C4C2×D411yescharacteristic
886C2×C22⋊C4C2×D411yescharacteristic
887C2×C22⋊C4C2×D411yescharacteristic
888C2×C22⋊C4C2×D411yescharacteristic
889C2×C22⋊C4C2×D411yescharacteristic
890C2×C22⋊C4C2×D411yescharacteristic
891C2×C22⋊C4C2×D411yescharacteristic
892C2×C22⋊C4C2×D411yescharacteristic
893C2×C22⋊C4C2×D411yescharacteristic
894C2×C22⋊C4C2×D411yescharacteristic
895C2×C22⋊C4C2×D411yescharacteristic
896C2×C42—21no—
897C2×C42—21no—
898C2×C42—21no—
899C2×C42—21no—
900C2×C42—21no—
901C2×C42C2411yescharacteristic
902C2×C42C2411yescharacteristic
903C2×C42C2411yescharacteristic
904#107—22no—
905#107C2×D414yescomplemented
906#106—22no—
907#106—22no—
908C4⋊C8—22no—
909C4⋊C8—41no—
910C4⋊C8—41no—
911#103—22no—
912#103—22no—
913#103—22no—
914#103—22no—
915#103—22no—
916#103—22no—
917#103—22no—
918#103—22no—
919#103—22no—
920#103—22no—
921#103—41no—
922#103—41no—
923#103—41no—
924#103—41no—
925#103—41no—
926#103C2×D414yescomplemented
927#102—22no—
928#102—22no—
929#102—22no—
930#102—22no—
931#102—22no—
932#102—22no—
933#102—22no—
934#102—22no—
935#102—41no—
936#102—41no—
937#102—41no—
938#102—41no—
939#102—41no—
940#102—41no—
941#102—41no—
942#102C2×D414yescomplemented
943C22⋊C8—22no—
944C22⋊C8—22no—
945C22⋊C8—22no—
946C22⋊C8—22no—
947C22⋊C8—22no—
948C22⋊C8—22no—
949C22⋊C8—22no—
950C22⋊C8—41no—
951C22⋊C8—41no—
952C22⋊C8—41no—
953C22⋊C8—41no—
954C22⋊C8—41no—
955C22⋊C8—41no—
956#97—41no—
957C4×C8—22no—
958C4×C8—41no—
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—21no—
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—81no—
1000C24—81no—
1001C24—81no—
1002C24—81no—
1003C24—81no—
1004C24—81no—
1005C24—81no—
1006C24C22×D411yescharacteristic
1007C24C22×D411yescharacteristic
1008C24C22×D411yescharacteristic
1009C24C22×D411yescharacteristic
1010#41—44no—
1011#41—44no—
1012#41—44no—
1013#41—82no—
1014#41—82no—
1015#41—82no—
1016#41—82no—
1017#41—82no—
1018#41—82no—
1019#41—82no—
1020#41—82no—
1021#41—82no—
1022C2×Q8—21no—
1023C2×Q8—21no—
1024C2×Q8—21no—
1025C2×Q8—21no—
1026C2×Q8—21no—
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—42no—
1046C2×Q8—42no—
1047C2×Q8—81no—
1048C2×Q8—82no—
1049C2×Q8—82no—
1050C2×Q8—82no—
1051C2×Q8—82no—
1052C2×Q8C22×D412yes—
1053C2×D4—24no—
1054C2×D4—22no—
1055C2×D4—24no—
1056C2×D4—24no—
1057C2×D4—22no—
1058C2×D4—22no—
1059C2×D4—21no—
1060C2×D4—21no—
1061C2×D4—21no—
1062C2×D4—21no—
1063C2×D4—21no—
1064C2×D4—21no—
1065C2×D4—21no—
1066C2×D4—21no—
1067C2×D4—21no—
1068C2×D4—21no—
1069C2×D4—21no—
1070C2×D4—21no—
1071C2×D4—21no—
1072C2×D4—21no—
1073C2×D4—21no—
1074C2×D4—21no—
1075C2×D4—21no—
1076C2×D4—21no—
1077C2×D4—21no—
1078C2×D4—21no—
1079C2×D4—21no—
1080C2×D4—44no—
1081C2×D4—44no—
1082C2×D4—41no—
1083C2×D4—41no—
1084C2×D4—41no—
1085C2×D4—41no—
1086C2×D4—41no—
1087C2×D4—41no—
1088C2×D4—42no—
1089C2×D4—42no—
1090C2×D4—42no—
1091C2×D4—42no—
1092C2×D4—42no—
1093C2×D4—42no—
1094C2×D4—42no—
1095C2×D4—42no—
1096C2×D4—44no—
1097C2×D4—42no—
1098C2×D4—42no—
1099C2×D4—42no—
1100C2×D4—42no—
1101C2×D4—42no—
1102C2×D4—42no—
1103C2×D4—42no—
1104C2×D4—42no—
1105C2×D4—42no—
1106C2×D4—42no—
1107C2×D4—42no—
1108C2×D4—42no—
1109C2×D4—42no—
1110C2×D4—42no—
1111C2×D4—42no—
1112C2×D4—42no—
1113C2×D4—42no—
1114C2×D4—42no—
1115C2×D4—42no—
1116C2×D4—42no—
1117C2×D4—82no—
1118C2×D4—82no—
1119C2×D4—81no—
1120C2×D4—81no—
1121C2×D4—81no—
1122C2×D4—81no—
1123C2×D4—81no—
1124C2×D4—82no—
1125C2×D4—82no—
1126C2×D4—82no—
1127C2×D4—81no—
1128C2×D4—81no—
1129C2×D4—81no—
1130C2×D4—81no—
1131C2×D4—81no—
1132C2×D4—81no—
1133C2×D4—81no—
1134C2×D4—81no—
1135C2×D4—81no—
1136C2×D4—81no—
1137C2×D4—81no—
1138C2×D4—81no—
1139C2×D4—816no—
1140C2×D4—816no—
1141C2×D4C22×D412yes—
1142C2×D4H(5,𝔽2)12yes—
1143C2×D4H(5,𝔽2)12yes—
1144C22×C4—21no—
1145C22×C4—21no—
1146C22×C4—21no—
1147C22×C4—21no—
1148C22×C4—21no—
1149C22×C4—21no—
1150C22×C4—21no—
1151C22×C4—21no—
1152C22×C4—21no—
1153C22×C4—22no—
1154C22×C4—21no—
1155C22×C4—21no—
1156C22×C4—21no—
1157C22×C4—21no—
1158C22×C4—21no—
1159C22×C4—21no—
1160C22×C4—21no—
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—22no—
1173C22×C4—22no—
1174C22×C4—21no—
1175C22×C4—21no—
1176C22×C4—21no—
1177C22×C4—21no—
1178C22×C4—21no—
1179C22×C4—21no—
1180C22×C4—21no—
1181C22×C4—41no—
1182C22×C4—41no—
1183C22×C4—41no—
1184C22×C4—41no—
1185C22×C4—41no—
1186C22×C4—41no—
1187C22×C4—42no—
1188C22×C4—42no—
1189C22×C4—42no—
1190C22×C4—42no—
1191C22×C4—42no—
1192C22×C4—42no—
1193C22×C4—42no—
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—82no—
1205C22×C4—82no—
1206C22×C4—82no—
1207C22×C4—82no—
1208C22×C4—81no—
1209C22×C4—81no—
1210C22×C4—81no—
1211C22×C4—81no—
1212C22×C4—81no—
1213C22×C4—81no—
1214C22×C4—81no—
1215C22×C4—81no—
1216C22×C4—81no—
1217C22×C4—81no—
1218C22×C4C22×D411yescharacteristic
1219C22×C4C22×D411yescharacteristic
1220C22×C4C22×D411yescharacteristic
1221C22×C4C22×D411yescharacteristic
1222C22×C4C22×D411yescharacteristic
1223C22×C4C22×D411yescharacteristic
1224C22×C4C22×D411yescharacteristic
1225C22×C4C22×D411yescharacteristic
1226C22×C4C22×D411yescharacteristic
1227C22×C4C22×D412yes—
1228C22×C4C22×D411yescharacteristic
1229C22×C4H(5,𝔽2)12yes—
1230C22×C4C2511yescharacteristic
1231Q16—82no—
1232Q16—82no—
1233Q16—82no—
1234SD16—44no—
1235SD16—44no—
1236SD16—44no—
1237SD16—44no—
1238SD16—82no—
1239SD16—82no—
1240SD16—82no—
1241SD16—82no—
1242SD16—82no—
1243SD16—82no—
1244D8—28no—
1245D8—44no—
1246D8—44no—
1247M16—44no—
1248M16—44no—
1249M16—82no—
1250C2×C8—21no—
1251C2×C8—21no—
1252C2×C8—21no—
1253C2×C8—21no—
1254C2×C8—21no—
1255C2×C8—21no—
1256C2×C8—21no—
1257C2×C8—21no—
1258C2×C8—21no—
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×C8C22×D412yes—
1273C2×C8C22×D412yes—
1274C4⋊C4—24no—
1275C4⋊C4—22no—
1276C4⋊C4—21no—
1277C4⋊C4—21no—
1278C4⋊C4—21no—
1279C4⋊C4—21no—
1280C4⋊C4—21no—
1281C4⋊C4—21no—
1282C4⋊C4—21no—
1283C4⋊C4—21no—
1284C4⋊C4—21no—
1285C4⋊C4—21no—
1286C4⋊C4—21no—
1287C4⋊C4—21no—
1288C4⋊C4—41no—
1289C4⋊C4—41no—
1290C4⋊C4—42no—
1291C4⋊C4—42no—
1292C4⋊C4—42no—
1293C4⋊C4—42no—
1294C4⋊C4—42no—
1295C4⋊C4—42no—
1296C4⋊C4—42no—
1297C4⋊C4—42no—
1298C4⋊C4—42no—
1299C4⋊C4—42no—
1300C4⋊C4—42no—
1301C4⋊C4—42no—
1302C4⋊C4—42no—
1303C4⋊C4—42no—
1304C4⋊C4—42no—
1305C4⋊C4—42no—
1306C4⋊C4—81no—
1307C4⋊C4—81no—
1308C4⋊C4—81no—
1309C4⋊C4—81no—
1310C4⋊C4—81no—
1311C4⋊C4C22×D412yes—
1312C4⋊C4C22×D412yes—
1313C4⋊C4H(5,𝔽2)12yes—
1314C4⋊C4H(5,𝔽2)12yes—
1315C22⋊C4—24no—
1316C22⋊C4—24no—
1317C22⋊C4—24no—
1318C22⋊C4—22no—
1319C22⋊C4—22no—
1320C22⋊C4—24no—
1321C22⋊C4—22no—
1322C22⋊C4—22no—
1323C22⋊C4—22no—
1324C22⋊C4—41no—
1325C22⋊C4—41no—
1326C22⋊C4—41no—
1327C22⋊C4—41no—
1328C22⋊C4—41no—
1329C22⋊C4—41no—
1330C22⋊C4—41no—
1331C22⋊C4—42no—
1332C22⋊C4—42no—
1333C22⋊C4—42no—
1334C22⋊C4—42no—
1335C22⋊C4—42no—
1336C22⋊C4—42no—
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—81no—
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—
1368C42—21no—
1369C42—21no—
1370C42—21no—
1371C42—21no—
1372C42—21no—
1373C42—21no—
1374C42—42no—
1375C42—42no—
1376C42—42no—
1377C42—42no—
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—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—22no—
1397C23—21no—
1398C23—22no—
1399C23—22no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—44no—
1409C23—44no—
1410C23—41no—
1411C23—41no—
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—41no—
1430C23—41no—
1431C23—41no—
1432C23—41no—
1433C23—41no—
1434C23—41no—
1435C23—82no—
1436C23—82no—
1437C23—82no—
1438C23—84no—
1439C23—84no—
1440C23—82no—
1441C23—82no—
1442C23—84no—
1443C23—84no—
1444C23—84no—
1445C23—84no—
1446C23—84no—
1447C23—162no—
1448C23—162no—
1449C23—162no—
1450C23—162no—
1451C23—162no—
1452C23—162no—
1453C23—162no—
1454C23D4212yes—
1455C23#57712yes—
1456C23C23×D411yescharacteristic
1457Q8—22no—
1458Q8—22no—
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—41no—
1472Q8—41no—
1473Q8—84no—
1474D4—22no—
1475D4—22no—
1476D4—22no—
1477D4—22no—
1478D4—22no—
1479D4—22no—
1480D4—44no—
1481D4—48no—
1482D4—48no—
1483D4—41no—
1484D4—41no—
1485D4—41no—
1486D4—41no—
1487D4—41no—
1488D4—41no—
1489D4—41no—
1490D4—41no—
1491D4—41no—
1492D4—41no—
1493D4—84no—
1494D4—84no—
1495D4—82no—
1496D4—84no—
1497D4—84no—
1498D4—82no—
1499D4—84no—
1500D4—84no—
1501D4—84no—
1502D4—84no—
1503D4—84no—
1504D4—84no—
1505D4—84no—
1506D4—84no—
1507D4—84no—
1508D4—162no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—21no—
1527C2×C4—22no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—22no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—22no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
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—82no—
1590C2×C4—82no—
1591C2×C4—84no—
1592C2×C4—84no—
1593C2×C4—84no—
1594C2×C4—82no—
1595C2×C4—84no—
1596C2×C4—84no—
1597C2×C4—84no—
1598C2×C4—84no—
1599C2×C4—84no—
1600C2×C4—162no—
1601C2×C4D4212yes—
1602C2×C4#57512yes—
1603C2×C4C23×D411yescharacteristic
1604C2×C4C2×H(5,𝔽2)11yescharacteristic
1605C2×C4C2×H(5,𝔽2)11yescharacteristic
1606C2×C4C2×H(5,𝔽2)11yescharacteristic
1607C2×C4C2×H(5,𝔽2)11yescharacteristic
1608C2×C4C2×H(5,𝔽2)11yescharacteristic
1609C8—22no—
1610C8—22no—
1611C8—41no—
1612C8—41no—
1613C8—41no—
1614C8—41no—
1615C8—41no—
1616C8—41no—
1617C22—22no—
1618C22—22no—
1619C22—22no—
1620C22—22no—
1621C22—22no—
1622C22—22no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—42no—
1633C22—41no—
1634C22—42no—
1635C22—41no—
1636C22—41no—
1637C22—41no—
1638C22—41no—
1639C22—42no—
1640C22—42no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—42no—
1645C22—41no—
1646C22—41no—
1647C22—42no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—42no—
1652C22—42no—
1653C22—42no—
1654C22—88no—
1655C22—81no—
1656C22—81no—
1657C22—81no—
1658C22—81no—
1659C22—81no—
1660C22—81no—
1661C22—81no—
1662C22—81no—
1663C22—81no—
1664C22—81no—
1665C22—81no—
1666C22—81no—
1667C22—81no—
1668C22—81no—
1669C22—81no—
1670C22—81no—
1671C22—81no—
1672C22—81no—
1673C22—81no—
1674C22—168no—
1675C22—168no—
1676C22C2×D4211yescharacteristic
1677C22#348411yescharacteristic
1678C22#348411yescharacteristic
1679C22C2×#57511yescharacteristic
1680C22C2×#57711yescharacteristic
1681C22#358511yescharacteristic
1682C22#358611yescharacteristic
1683C4—22no—
1684C4—22no—
1685C4—42no—
1686C4—42no—
1687C4—41no—
1688C4—41no—
1689C4—41no—
1690C4—42no—
1691C4—41no—
1692C4—42no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—41no—
1697C4—42no—
1698C4—81no—
1699C4—81no—
1700C4—81no—
1701C4—81no—
1702C4—81no—
1703C4—81no—
1704C4—81no—
1705C4#348411yescharacteristic
1706C4#349811yescharacteristic
1707C4#353711yescharacteristic
1708C4#353711yescharacteristic
1709C2—42no—
1710C2—42no—
1711C2—81no—
1712C2—81no—
1713C2—82no—
1714C2—82no—
1715C2—82no—
1716C2—161no—
1717C2#4300111yescharacteristic
1718C2#6106611yescharacteristic
1719C2#6107511yescharacteristic
1720C2#6158911yescharacteristic
1721C2#6160411yescharacteristic
1722C2#6161011yescharacteristic
1723C2#6165611yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
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×#3272C2semidirect
2. C2×#3196C2semidirect
3. #59004C2semidirect
4. #59002C2semidirect
5. #31037C2semidirect
6. #31024C2semidirect
7. #30731C2semidirect
8. #30728C2semidirect
9. #30469C2semidirect
10. #30459C2semidirect
11. #30453C2semidirect
12. #30446C2semidirect
13. #28568C2semidirect
14. #26943C2semidirect
15. #26941C2semidirect
16. #26618C2semidirect
17. #26617C2semidirect
18. #25796C2semidirect
19. #25769C2semidirect
20. #25761C2semidirect
21. #25105C2semidirect
22. #25094C2semidirect
23. #24448C2semidirect
24. #24446C2semidirect
25. #23923C2semidirect
26. #23919C2semidirect
27. #23866C2semidirect
28. #23863C2semidirect
29. #23391C2semidirect
30. #23141C2semidirect
31. #22038C2semidirect
33. C22×AGL(1,ℤ/8)C22semidirect
34. C2×#548C22semidirect
39. C2×#525C22semidirect
40. C22×C22⋊Q8C22semidirect
44. C2×#497C22semidirect
45. C2×#495C22semidirect
46. C2×#492C22semidirect
47. C2×#484C22semidirect
48. C2×#481C22semidirect
49. C2×#485C22semidirect
50. C2×#485C22semidirect
51. C2×#470C22semidirect
52. C2×#470C22semidirect
55. C2×#468C22semidirect
56. C2×#464C22semidirect
57. C2×#461C22semidirect
58. C2×#461C22semidirect
59. C2×#459C22semidirect
60. C2×#452C22semidirect
61. C2×#452C22semidirect
62. C2×#452C22semidirect
63. C2×#452C22semidirect
64. C2×#452C22semidirect
66. C2×#449C22semidirect
67. C2×#449C22semidirect
68. C2×#451C22semidirect
70. C2×#448C22semidirect
71. C2×#448C22semidirect
74. C2×#450C22semidirect
75. C2×#450C22semidirect
76. C2×C4×D8C22semidirect
78. C2×#417C22semidirect
80. C2×#407C22semidirect
85. #2542C22semidirect
92. #2434C22semidirect
93. #2432C22semidirect
95. #2429C22semidirect
98. #2427C22semidirect
104. #2417C22semidirect
109. #2407C22semidirect
112. #2362C22semidirect
114. #2361C22semidirect
118. #2088C22semidirect
119. #2077C22semidirect
120. #2067C22semidirect
121. #2065C22semidirect
122. #2056C22semidirect
123. #2055C22semidirect
124. #2055C22semidirect
125. #2043C22semidirect
126. #2043C22semidirect
127. #2042C22semidirect
128. #2041C22semidirect
129. #2035C22semidirect
130. #2033C22semidirect
131. #2016C22semidirect
132. #2015C22semidirect
133. #2015C22semidirect
134. #2014C22semidirect
135. #2013C22semidirect
136. #2012C22semidirect
137. #2012C22semidirect
138. #2012C22semidirect
139. #2001C22semidirect
140. #2001C22semidirect
141. #2001C22semidirect
146. #2000C22semidirect
147. #2000C22semidirect
148. #2000C22semidirect
149. #2000C22semidirect
150. #2000C22semidirect
151. #2000C22semidirect
152. #2000C22semidirect
155. #1999C22semidirect
156. #1999C22semidirect
157. #1999C22semidirect
158. #1983C22semidirect
159. #1983C22semidirect
160. #1972C22semidirect
161. #1968C22semidirect
162. #1955C22semidirect
163. #1954C22semidirect
164. #1935C22semidirect
165. #1934C22semidirect
166. #1933C22semidirect
167. #1933C22semidirect
168. #1928C22semidirect
169. #1926C22semidirect
170. #1924C22semidirect
171. #1923C22semidirect
172. #1923C22semidirect
173. #1923C22semidirect
174. #1921C22semidirect
175. #1918C22semidirect
176. #1894C22semidirect
177. #1894C22semidirect
178. #1880C22semidirect
179. #1880C22semidirect
180. #1879C22semidirect
181. #1877C22semidirect
182. #1877C22semidirect
183. #1877C22semidirect
185. #1875C22semidirect
187. #1874C22semidirect
188. #1873C22semidirect
189. #1873C22semidirect
190. #1872C22semidirect
191. #1872C22semidirect
193. #1870C22semidirect
194. #1870C22semidirect
195. #1864C22semidirect
196. #1862C22semidirect
197. #1851C22semidirect
198. #1788C22semidirect
199. #1786C22semidirect
200. #1779C22semidirect
201. #1762C22semidirect
202. C4×#103C22semidirect
203. #1753C22semidirect
204. #1736C22semidirect
338. #468D4semidirect
674. C2×SD16C2×D4semidirect
905. #107C2×D4semidirect
926. #103C2×D4semidirect
942. #102C2×D4semidirect

Maximal subgroups

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

subgroupindex
C2×#32722
C2×#31962
#590042
#590022
#310372
#310242
#307312
#307282
#304692
#304592
#304532
#304462
#285682
#269432
#269412
#266182
#266172
#257962
#257692
#257612
#251052
#250942
#244482
#244462
#239232
#239192
#238662
#238632
#233912
#231412
#220382