Finite Group Databasebeta

← #7301655

Subgroups — #7301655

Order 512.

2046 conjugacy classes of subgroups.

The subgroup lattice has 1613 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#44886C211yesmaximal, characteristic, complemented
2#42908C211yesmaximal, characteristic, complemented
3#32036C211yesmaximal, characteristic, complemented
4#31855C211yesmaximal, characteristic, complemented
5#31845C211yesmaximal, characteristic, complemented
6#31678C211yesmaximal, characteristic, complemented
7#31406C211yesmaximal, characteristic, complemented
8#31399C211yesmaximal, characteristic, complemented
9#31043C211yesmaximal, characteristic, complemented
10#31031C211yesmaximal, characteristic, complemented
11#31004C211yesmaximal, characteristic, complemented
12#30999C211yesmaximal, characteristic, complemented
13#30463C211yesmaximal, characteristic, complemented
14#30460C211yesmaximal, characteristic, complemented
15#29608C211yesmaximal, characteristic, complemented
16#29604C211yesmaximal, characteristic, complemented
17#26683C211yesmaximal, characteristic, complemented
18#26674C211yesmaximal, characteristic, complemented
19#26646C211yesmaximal, characteristic, complemented
20#26617C211yesmaximal, characteristic, complemented
21#25768C211yesmaximal, characteristic, complemented
22#25178C211yesmaximal, characteristic, complemented
23#25162C211yesmaximal, characteristic, complemented
24#24250C211yesmaximal, characteristic, complemented
25#24245C211yesmaximal, characteristic, complemented
26#23929C211yesmaximal, characteristic, complemented
27#23924C211yesmaximal, characteristic, complemented
28#23871C211yesmaximal, characteristic, complemented
29#23870C211yesmaximal, characteristic, complemented
30#23862C211yesmaximal, characteristic, complemented
31#23313C211yesmaximal, characteristic, complemented
32C22×#137C2211yescharacteristic
33C2×#550C2211yescharacteristic
34C2×#548C2211yescharacteristic, complemented
35C2×#546C2211yescharacteristic
36C2×#537C2211yescharacteristic
37C2×#537C2211yescharacteristic
38C2×#535C2211yescharacteristic
39C2×#496C2211yescharacteristic
40C2×#484C2211yescharacteristic, complemented
41C2×#485C2211yescharacteristic
42C2×#460C2211yescharacteristic
43C2×#463C2211yescharacteristic
44C2×#459C2211yescharacteristic
45C2×#452C2211yescharacteristic, complemented
46C2×#452C2211yescharacteristic, complemented
47C2×#452C2211yescharacteristic, complemented
48C2×#449C2211yescharacteristic
49C2×#449C2211yescharacteristic
50C2×#449C2211yescharacteristic
51C2×#449C2211yescharacteristic, complemented
52C2×#449C2211yescharacteristic, complemented
53C2×#448C2211yescharacteristic
54C2×#448C2211yescharacteristic, complemented
55C2×#450C2211yescharacteristic
56C2×#450C2211yescharacteristic
57C2×#447C2211yescharacteristic
58C2×#440C2211yescharacteristic, complemented
59C2×C4×D8C2211yescharacteristic
60#2817—21no—
61#2688—21no—
62#2688—21no—
63#2686—21no—
64#2686—21no—
65#2676—21no—
66#2673—21no—
67#2669—21no—
68#2669—21no—
69#2639—21no—
70#2635—21no—
71#2616C2211yescharacteristic
72#2564—21no—
73#2541—21no—
74#2541C2211yescharacteristic
75#2535C2211yescharacteristic
76#2535C2211yescharacteristic, complemented
77#2503C2211yescharacteristic, complemented
78#2487C2211yescharacteristic, complemented
79#2461—21no—
80#2433C2211yescharacteristic
81#2431C2211yescharacteristic
82#2428C2211yescharacteristic
83#2427C2211yescharacteristic
84#2427C2211yescharacteristic, complemented
85#2426C2211yescharacteristic
86#2424—21no—
87#2424—21no—
88#2421C2211yescharacteristic
89#2421C2211yescharacteristic, complemented
90#2416C2211yescharacteristic
91#2414C2211yescharacteristic
92#2409C2211yescharacteristic
93#2409C2211yescharacteristic, complemented
94#2407C2211yescharacteristic
95#2388C2211yescharacteristic
96#2362C2211yescharacteristic
97#2361C2211yescharacteristic
98#2339C2211yescharacteristic, complemented
99#2101C2211yescharacteristic, complemented
100#2101C2211yescharacteristic, complemented
101#2077C2211yescharacteristic, complemented
102#2075C2211yescharacteristic, complemented
103#2073C2211yescharacteristic
104#2073C2211yescharacteristic, complemented
105#2068C2211yescharacteristic, complemented
106#2068C2211yescharacteristic, complemented
107#2067C2211yescharacteristic
108#2066C2211yescharacteristic, complemented
109#2055C2211yescharacteristic
110#2055C2211yescharacteristic, complemented
111#2041C2211yescharacteristic
112#2041C2211yescharacteristic
113#2036C2211yescharacteristic
114#2036C2211yescharacteristic, complemented
115#2034C2211yescharacteristic
116#2034C2211yescharacteristic
117#2033C2211yescharacteristic
118#2033C2211yescharacteristic
119#2033C2211yescharacteristic
120#2033C2211yescharacteristic
121#2033C2211yescharacteristic, complemented
122#2033C2211yescharacteristic, complemented
123#2015C2211yescharacteristic
124#2015C2211yescharacteristic
125#2015C2211yescharacteristic, complemented
126#2014C2211yescharacteristic
127#2014C2211yescharacteristic
128#2012C2211yescharacteristic
129#2001C2211yescharacteristic
130#2001C2211yescharacteristic
131#2001C2211yescharacteristic, complemented
132#2000C2211yescharacteristic
133#2000C2211yescharacteristic
134#2000C2211yescharacteristic
135#2000C2211yescharacteristic
136#2000C2211yescharacteristic
137#2000C2211yescharacteristic
138#2000C2211yescharacteristic
139#2000C2211yescharacteristic
140#2000C2211yescharacteristic
141#2000C2211yescharacteristic, complemented
142#1999C2211yescharacteristic
143#1999C2211yescharacteristic
144#1999C2211yescharacteristic
145#1999C2211yescharacteristic
146#1999C2211yescharacteristic, complemented
147#1983C2211yescharacteristic, complemented
148#1973C2211yescharacteristic
149#1968C2211yescharacteristic, complemented
150#1961C2211yescharacteristic
151#1958C2211yescharacteristic
152#1955C2211yescharacteristic, complemented
153#1955C2211yescharacteristic, complemented
154#1954C2211yescharacteristic
155#1936C2211yescharacteristic
156#1935C2211yescharacteristic, complemented
157#1935C2211yescharacteristic, complemented
158#1933C2211yescharacteristic, complemented
159#1924C2211yescharacteristic
160#1924C2211yescharacteristic
161#1924C2211yescharacteristic, complemented
162#1924C2211yescharacteristic, complemented
163#1923C2211yescharacteristic, complemented
164#1923C2211yescharacteristic, complemented
165#1921C2211yescharacteristic, complemented
166#1921C2211yescharacteristic, complemented
167#1895C2211yescharacteristic
168#1895C2211yescharacteristic, complemented
169#1895C2211yescharacteristic, complemented
170#1880C2211yescharacteristic
171#1879C2211yescharacteristic
172#1879C2211yescharacteristic, complemented
173#1878C2211yescharacteristic, complemented
174#1878C2211yescharacteristic, complemented
175#1878C2211yescharacteristic, complemented
176#1877C2211yescharacteristic
177#1877C2211yescharacteristic
178#1875C2211yescharacteristic
179#1874C2211yescharacteristic
180#1874C2211yescharacteristic
181#1874C2211yescharacteristic, complemented
182#1874C2211yescharacteristic, complemented
183#1873C2211yescharacteristic
184#1872C2211yescharacteristic, complemented
185#1872C2211yescharacteristic, complemented
186#1870C2211yescharacteristic
187#1870C2211yescharacteristic, complemented
188#1870C2211yescharacteristic, complemented
189#1864C2211yescharacteristic, complemented
190#1862C2211yescharacteristic, complemented
191#1825C2211yescharacteristic
192#1823C2211yescharacteristic, complemented
193#1805C2211yescharacteristic, complemented
194#1804C2211yescharacteristic
195#1788C2211yescharacteristic
196#1788C2211yescharacteristic
197#1788C2211yescharacteristic, complemented
198#1787C2211yescharacteristic, complemented
199#1786C2211yescharacteristic
200#1780C2211yescharacteristic
201#1780C2211yescharacteristic
202#1763C2211yescharacteristic, complemented
203C22×#41C2311yescharacteristic
204C22×#41C2311yescharacteristic
205C22×#41C2311yescharacteristic
206C22×#41C2311yescharacteristic
207C23×Q8C2311yescharacteristic
208C23×D4C2311yescharacteristic
209C2×#137—42no—
210C2×#137—42no—
211C2×#137—42no—
212C22×Q16C2311yescharacteristic
213C22×Q16C2311yescharacteristic
214C22×SD16C2311yescharacteristic
215C22×SD16C2311yescharacteristic
216C22×SD16C2311yescharacteristic
217C22×SD16C2311yescharacteristic
218C22×SD16C2311yescharacteristic
219C22×SD16C2311yescharacteristic
220C22×SD16C2311yescharacteristic
221C22×D8C2311yescharacteristic
222C22×D8C2311yescharacteristic
223C22×D8C2311yescharacteristic
224C22×M16C2311yescharacteristic
225#550—42no—
226#550—42no—
227#548—42no—
228#548—42no—
229#546—42no—
230#546—42no—
231#537—42no—
232#537—42no—
233#537—42no—
234#537—42no—
235#535—42no—
236#535—42no—
237C2×#127—21no—
238C2×#127—21no—
239C2×#127—21no—
240C2×#127C2311yescharacteristic
241C2×#127C2311yescharacteristic
242C2×#124—21no—
243C2×#124—21no—
244C2×#124C2311yescharacteristic
245C2×#124C2311yescharacteristic
246C2×#123—21no—
247C2×C22⋊Q8—21no—
248C2×C22⋊Q8—21no—
249C2×C22⋊Q8—21no—
250C2×C22⋊Q8C2311yescharacteristic
251C2×C22⋊Q8C2311yescharacteristic
252C2×C22⋊Q8C2311yescharacteristic
253C2×C22⋊Q8C2311yescharacteristic
254C2×C22⋊Q8C2311yescharacteristic
255C2×C22⋊Q8C2311yescharacteristic
256C2×C22⋊Q8C2311yescharacteristic
257C2×#121—21no—
258C2×#121—21no—
259C2×#121—21no—
260C2×#121—21no—
261C2×#121—21no—
262C2×#121—21no—
263C2×#121—21no—
264C2×#121—21no—
265C2×#121—21no—
266C2×#121—21no—
267C2×#121—21no—
268C2×#121—21no—
269C2×#121C2311yescharacteristic
270C2×#121C2311yescharacteristic
271C2×#121C2311yescharacteristic
272C2×#121C2311yescharacteristic
273C2×#121C2311yescharacteristic
274C2×#121C2311yescharacteristic
275C2×#121C2311yescharacteristic
276C2×#121C2311yescharacteristic
277C2×#121C2311yescharacteristic
278C2×#121C2311yescharacteristic
279C2×#121C2311yescharacteristic
280C2×#120—21no—
281C2×#120—21no—
282C2×#120—21no—
283C2×#120—21no—
284C2×#120—21no—
285C2×C4×Q8C2311yescharacteristic
286C2×C4×Q8C2311yescharacteristic
287C2×C4×D4—21no—
288C2×C4×D4—21no—
289C2×C4×D4—21no—
290C2×C4×D4C2311yescharacteristic
291C2×C4×D4C2311yescharacteristic
292C2×C4×D4C2311yescharacteristic
293C2×C4×D4C2311yescharacteristic
294C2×C4×D4C2311yescharacteristic
295C2×C4×D4C2311yescharacteristic
296C2×#117C2311yescharacteristic
297C22×C4⋊C4C2311yescharacteristic
298C22×C4⋊C4C2311yescharacteristic
299C22×C22⋊C4—21no—
300#496—42no—
301#485—42no—
302#484—42no—
303#463—42no—
304#460—42no—
305#459—42no—
306#452—42no—
307#452—42no—
308#452—42no—
309#450—42no—
310#450—42no—
311#449—42no—
312#449—42no—
313#449—42no—
314#449—42no—
315#449—42no—
316#448—42no—
317#448—42no—
318#447—42no—
319#440—42no—
320C4×D8—42no—
321C2×#107C2311yescharacteristic
322C2×#107C2311yescharacteristic
323C2×#107C2311yescharacteristic
324C2×#106C2311yescharacteristic
325C2×C4⋊C8C2311yescharacteristic
326C2×C4⋊C8C2311yescharacteristic
327C2×C4⋊C8C2311yescharacteristic
328C2×#103C2311yescharacteristic
329C2×#103C2311yescharacteristic
330C2×#103C2311yescharacteristic
331C2×#103C2311yescharacteristic
332C2×#103C2311yescharacteristic
333C2×#103C2311yescharacteristic
334C2×#103C2311yescharacteristic
335C2×#103C2311yescharacteristic
336C2×#103C2311yescharacteristic
337C2×#103C2311yescharacteristic
338C2×#103C2311yescharacteristic
339C2×#103C2311yescharacteristic
340C2×#103C2311yescharacteristic
341C2×#102C2311yescharacteristic
342C2×#102C2311yescharacteristic
343C2×#102C2311yescharacteristic
344C2×#102C2311yescharacteristic
345C2×#102C2311yescharacteristic
346C2×#102C2311yescharacteristic
347C2×#102C2311yescharacteristic
348C2×#102C2311yescharacteristic
349C2×#102C2311yescharacteristic
350C2×#102C2311yescharacteristic
351C2×#102C2311yescharacteristic
352C2×#102C2311yescharacteristic
353C2×#102C2311yescharacteristic
354C2×#102C2311yescharacteristic
355C2×#102C2311yescharacteristic
356C2×#102C2311yescharacteristic
357C2×#102C2311yescharacteristic
358C2×#102C2311yescharacteristic
359C2×#102C2311yescharacteristic
360C2×C22⋊C8C2311yescharacteristic
361C2×C22⋊C8C2311yescharacteristic
362C2×C22⋊C8C2311yescharacteristic
363C2×C22⋊C8C2311yescharacteristic
364C2×C22⋊C8C2311yescharacteristic
365C2×C22⋊C8C2311yescharacteristic
366C2×C22⋊C8C2311yescharacteristic
367C2×C22⋊C8C2311yescharacteristic
368C2×C22⋊C8C2311yescharacteristic
369C2×C22⋊C8C2311yescharacteristic
370C2×C22⋊C8C2311yescharacteristic
371C2×C22⋊C8C2311yescharacteristic
372C2×C22⋊C8C2311yescharacteristic
373C2×C22⋊C8C2311yescharacteristic
374C2×C22⋊C8C2311yescharacteristic
375C2×#97C2311yescharacteristic
376C2×#97C2311yescharacteristic
377C2×C4×C8C2311yescharacteristic
378#400—21no—
379#400—21no—
380#400—21no—
381#400—21no—
382#400—21no—
383#399—21no—
384#397—21no—
385#397—21no—
386#397—21no—
387#397—21no—
388#397—21no—
389#397—21no—
390#396—21no—
391#396—21no—
392#395—21no—
393#395—21no—
394#395—21no—
395#395D411yescharacteristic
396#394—21no—
397#394—21no—
398#394—21no—
399#394—21no—
400#394—21no—
401#394—21no—
402#394—21no—
403#394—21no—
404#394—21no—
405#394—21no—
406#394D411yescharacteristic
407#394D411yescharacteristic
408#394D411yescharacteristic
409#393—21no—
410#393—21no—
411#393D411yescharacteristic
412#392—21no—
413#392—21no—
414#392—21no—
415#392—21no—
416#392—21no—
417#392—21no—
418#392—21no—
419#392—21no—
420#392—21no—
421#392—21no—
422#392—21no—
423#392D411yescharacteristic
424#392D411yescharacteristic
425#392D411yescharacteristic
426#391C2311yescharacteristic
427#391C2311yescharacteristic
428#391C2311yescharacteristic
429#391C2311yescharacteristic
430#391C2311yescharacteristic
431#390—21no—
432#390—21no—
433#390—21no—
434#390C2311yescharacteristic
435#390C2311yescharacteristic
436#390C2311yescharacteristic
437#389C2311yescharacteristic
438#389C2311yescharacteristic
439#389C2311yescharacteristic
440#389C2311yescharacteristic
441#388—21no—
442#388—21no—
443#388—21no—
444#388—21no—
445#388—21no—
446#388—21no—
447#388—21no—
448#387—21no—
449#387—21no—
450#387—21no—
451#386—21no—
452#386—21no—
453#386—21no—
454#386—21no—
455#386—21no—
456#386—21no—
457#386—21no—
458#386—21no—
459#386—21no—
460#386—21no—
461#386—21no—
462#386—21no—
463#386—21no—
464#386—21no—
465#386—21no—
466#386—21no—
467#386—21no—
468#385—21no—
469#385—21no—
470#385—21no—
471#385—21no—
472#385—21no—
473#382C2311yescharacteristic
474#382C2311yescharacteristic
475#381—21no—
476#381—21no—
477#381—21no—
478#380—21no—
479#380—21no—
480#380C2311yescharacteristic
481#380C2311yescharacteristic
482#380C2311yescharacteristic
483#380C2311yescharacteristic
484#380C2311yescharacteristic
485#380C2311yescharacteristic
486C4×C4⋊C4—21no—
487C4×C4⋊C4C2311yescharacteristic
488C4×C22⋊C4C2311yescharacteristic
489C4×C22⋊C4C2311yescharacteristic
490C4×C22⋊C4C2311yescharacteristic
491C2×#95—21no—
492#340C2311yescharacteristic
493#340C2311yescharacteristic
494#340C2311yescharacteristic
495#340C2311yescharacteristic
496#340C2311yescharacteristic
497#340C2311yescharacteristic
498#340C2311yescharacteristic
499#340C2311yescharacteristic
500#340C2311yescharacteristic
501#340C2311yescharacteristic
502#340C2311yescharacteristic
503#340C2311yescharacteristic
504#340C2311yescharacteristic
505#340C2311yescharacteristic
506#340C2311yescharacteristic
507#340C2311yescharacteristic
508#336C2311yescharacteristic
509#336C2311yescharacteristic
510#336C2311yescharacteristic
511#336C2311yescharacteristic
512#336C2311yescharacteristic
513#336C2311yescharacteristic
514C25—21no—
515C2×#41—22no—
516C2×#41—22no—
517C2×#41—22no—
518C2×#41—22no—
519C2×#41—22no—
520C2×#41—41no—
521C2×#41—41no—
522C2×#41—41no—
523C2×#41—41no—
524C2×#41—41no—
525C2×#41—41no—
526C2×#41—41no—
527C2×#41—41no—
528C2×#41—41no—
529C2×#41—41no—
530C2×#41—41no—
531C2×#41—41no—
532C2×#41—41no—
533C2×#41—41no—
534C2×#41—41no—
535C2×#41—41no—
536C2×#41—41no—
537C2×#41—41no—
538C2×#41—41no—
539C22×Q8—21no—
540C22×Q8—22no—
541C22×Q8—41no—
542C22×Q8—41no—
543C22×Q8—41no—
544C22×Q8—41no—
545C22×Q8—41no—
546C22×Q8C2×D411yescharacteristic
547C22×Q8C2411yescharacteristic
548C22×Q8C2411yescharacteristic
549C22×Q8C2411yescharacteristic
550C22×D4—21no—
551C22×D4—21no—
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—21no—
569C22×D4—21no—
570C22×D4—41no—
571C22×D4—41no—
572C22×D4—41no—
573C22×D4—41no—
574C22×D4—41no—
575C22×D4C2×D411yescharacteristic
576C22×D4C2×D411yescharacteristic
577C22×D4C2×D411yescharacteristic
578C22×D4C2×D411yescharacteristic
579C22×D4C2×D411yescharacteristic
580C22×D4C2×D411yescharacteristic
581C22×D4C2411yescharacteristic
582C22×D4C2411yescharacteristic
583C22×D4C2411yescharacteristic
584C22×D4C2411yescharacteristic
585C23×C4—21no—
586C23×C4—21no—
587C23×C4—21no—
588C23×C4—21no—
589C23×C4—21no—
590C23×C4—21no—
591C23×C4—21no—
592C23×C4—21no—
593C23×C4—21no—
594C23×C4C2411yescharacteristic
595C23×C4C2411yescharacteristic
596C23×C4C2411yescharacteristic
597C23×C4C2411yescharacteristic
598#137—416no—
599C2×Q16—22no—
600C2×Q16—22no—
601C2×Q16—22no—
602C2×Q16—41no—
603C2×Q16—41no—
604C2×Q16—41no—
605C2×SD16—22no—
606C2×SD16—22no—
607C2×SD16—22no—
608C2×SD16—22no—
609C2×SD16—22no—
610C2×SD16—22no—
611C2×SD16—22no—
612C2×SD16—41no—
613C2×SD16—41no—
614C2×SD16—41no—
615C2×SD16—41no—
616C2×SD16—41no—
617C2×SD16—41no—
618C2×SD16—41no—
619C2×SD16—41no—
620C2×SD16—41no—
621C2×SD16—41no—
622C2×SD16—41no—
623C2×SD16—41no—
624C2×SD16—41no—
625C2×SD16—41no—
626C2×D8—22no—
627C2×D8—22no—
628C2×D8—22no—
629C2×D8—22no—
630C2×D8—41no—
631C2×D8—41no—
632C2×D8—41no—
633C2×D8—41no—
634C2×D8—41no—
635C2×M16—41no—
636C2×M16—41no—
637C2×M16—41no—
638C22×C8C2411yescharacteristic
639C22×C8C2411yescharacteristic
640C22×C8C2411yescharacteristic
641C22×C8C2411yescharacteristic
642C22×C8C2411yescharacteristic
643C22×C8C2411yescharacteristic
644C22×C8C2411yescharacteristic
645C22×C8C2411yescharacteristic
646#127—22no—
647#127—41no—
648#127—41no—
649#127—41no—
650#127—44no—
651#127—44no—
652#127—82no—
653#124—22no—
654#124—22no—
655#124—41no—
656#124—41no—
657#124—44no—
658#124—44no—
659#123—44no—
660C22⋊Q8—22no—
661C22⋊Q8—22no—
662C22⋊Q8—22no—
663C22⋊Q8—22no—
664C22⋊Q8—22no—
665C22⋊Q8—41no—
666C22⋊Q8—41no—
667C22⋊Q8—41no—
668C22⋊Q8—41no—
669C22⋊Q8—41no—
670C22⋊Q8—44no—
671C22⋊Q8—44no—
672C22⋊Q8—44no—
673C22⋊Q8—41no—
674C22⋊Q8—41no—
675C22⋊Q8—41no—
676C22⋊Q8—41no—
677#121—22no—
678#121—22no—
679#121—22no—
680#121—22no—
681#121—22no—
682#121—22no—
683#121—22no—
684#121—22no—
685#121—22no—
686#121—22no—
687#121—44no—
688#121—44no—
689#121—44no—
690#121—41no—
691#121—41no—
692#121—41no—
693#121—41no—
694#121—41no—
695#121—41no—
696#121—41no—
697#121—41no—
698#121—41no—
699#121—41no—
700#121—41no—
701#121—41no—
702#121—44no—
703#121—44no—
704#121—44no—
705#121—44no—
706#121—44no—
707#121—44no—
708#121—44no—
709#121—82no—
710#121—82no—
711#120—44no—
712#120—44no—
713#120—44no—
714#120—82no—
715#120—82no—
716C4×Q8—22no—
717C4×Q8—22no—
718C4×Q8—41no—
719C4×Q8—41no—
720C4×D4—22no—
721C4×D4—41no—
722C4×D4—41no—
723C4×D4—41no—
724C4×D4—41no—
725C4×D4—41no—
726C4×D4—41no—
727C4×D4—41no—
728C4×D4—41no—
729C4×D4—41no—
730C4×D4—41no—
731C4×D4—41no—
732C4×D4—44no—
733C4×D4—44no—
734C4×D4—82no—
735#117—22no—
736#117—41no—
737C2×C4⋊C4—21no—
738C2×C4⋊C4—22no—
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—21no—
751C2×C4⋊C4—21no—
752C2×C4⋊C4—21no—
753C2×C4⋊C4—41no—
754C2×C4⋊C4—41no—
755C2×C4⋊C4—41no—
756C2×C4⋊C4C2×D411yescharacteristic
757C2×C4⋊C4C2×D411yescharacteristic
758C2×C4⋊C4C2×D411yescharacteristic
759C2×C4⋊C4C2411yescharacteristic
760C2×C4⋊C4C2411yescharacteristic
761C2×C4⋊C4C2411yescharacteristic
762C2×C4⋊C4C2411yescharacteristic
763C2×C4⋊C4C2411yescharacteristic
764C2×C4⋊C4C2411yescharacteristic
765C2×C4⋊C4C2411yescharacteristic
766C2×C4⋊C4C2411yescharacteristic
767C2×C4⋊C4C2411yescharacteristic
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—44no—
807C2×C22⋊C4C2×D411yescharacteristic
808C2×C22⋊C4C2×D411yescharacteristic
809C2×C22⋊C4C2×D411yescharacteristic
810C2×C22⋊C4C2×D411yescharacteristic
811C2×C22⋊C4C2×D411yescharacteristic
812C2×C22⋊C4C2×D411yescharacteristic
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×C42—21no—
820C2×C42—21no—
821C2×C42—21no—
822C2×C42—21no—
823C2×C42C2411yescharacteristic
824C2×C42C2411yescharacteristic
825C2×C42C2411yescharacteristic
826#107—22no—
827#107—22no—
828#107—41no—
829#106—41no—
830C4⋊C8—41no—
831C4⋊C8—41no—
832C4⋊C8—41no—
833#103—22no—
834#103—22no—
835#103—22no—
836#103—22no—
837#103—22no—
838#103—41no—
839#103—41no—
840#103—41no—
841#103—41no—
842#103—41no—
843#103—41no—
844#103—41no—
845#103—41no—
846#102—22no—
847#102—22no—
848#102—22no—
849#102—41no—
850#102—41no—
851#102—41no—
852#102—41no—
853#102—41no—
854#102—41no—
855#102—41no—
856#102—41no—
857#102—41no—
858#102—41no—
859#102—41no—
860#102—41no—
861#102—41no—
862#102—41no—
863#102—41no—
864#102—41no—
865C22⋊C8—41no—
866C22⋊C8—41no—
867C22⋊C8—41no—
868C22⋊C8—41no—
869C22⋊C8—41no—
870C22⋊C8—41no—
871C22⋊C8—41no—
872C22⋊C8—41no—
873C22⋊C8—41no—
874C22⋊C8—41no—
875C22⋊C8—41no—
876C22⋊C8—41no—
877C22⋊C8—41no—
878C22⋊C8—41no—
879C22⋊C8—41no—
880#97—41no—
881#97—41no—
882C4×C8—41no—
883#95—21no—
884#95—21no—
885#95—21no—
886#95—21no—
887#95—21no—
888#95—21no—
889#95—21no—
890#95—21no—
891#95—21no—
892#95—21no—
893#95—21no—
894#95—21no—
895#95—21no—
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#95C2×D411yescharacteristic
909#95C2×D411yescharacteristic
910#95C2×D411yescharacteristic
911#95C2×D411yescharacteristic
912#95C2×D411yescharacteristic
913#95C2×D411yescharacteristic
914C24—21no—
915C24—21no—
916C24—21no—
917C24—21no—
918C24—42no—
919C24—42no—
920C24—81no—
921C24—81no—
922C24—81no—
923C24—81no—
924C24—81no—
925C24C22×D411yescharacteristic
926C24C22×D411yescharacteristic
927C24C22×D411yescharacteristic
928C24C22×D411yescharacteristic
929#41—44no—
930#41—82no—
931#41—82no—
932#41—82no—
933#41—82no—
934#41—82no—
935#41—82no—
936#41—82no—
937#41—82no—
938#41—82no—
939#41—82no—
940#41—82no—
941#41—82no—
942#41—82no—
943#41—82no—
944#41—82no—
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—21no—
960C2×Q8—21no—
961C2×Q8—41no—
962C2×Q8—41no—
963C2×Q8—41no—
964C2×Q8—42no—
965C2×Q8—44no—
966C2×Q8—81no—
967C2×Q8—81no—
968C2×Q8—82no—
969C2×Q8—82no—
970C2×Q8—82no—
971C2×Q8H(5,𝔽2)12yes—
972C2×Q8H(5,𝔽2)12yes—
973C2×D4—24no—
974C2×D4—24no—
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—41no—
998C2×D4—41no—
999C2×D4—41no—
1000C2×D4—41no—
1001C2×D4—41no—
1002C2×D4—41no—
1003C2×D4—41no—
1004C2×D4—41no—
1005C2×D4—41no—
1006C2×D4—41no—
1007C2×D4—41no—
1008C2×D4—41no—
1009C2×D4—41no—
1010C2×D4—41no—
1011C2×D4—41no—
1012C2×D4—41no—
1013C2×D4—41no—
1014C2×D4—41no—
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—42no—
1026C2×D4—42no—
1027C2×D4—42no—
1028C2×D4—42no—
1029C2×D4—42no—
1030C2×D4—42no—
1031C2×D4—42no—
1032C2×D4—42no—
1033C2×D4—42no—
1034C2×D4—42no—
1035C2×D4—42no—
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—82no—
1046C2×D4—82no—
1047C2×D4—82no—
1048C2×D4—82no—
1049C2×D4—81no—
1050C2×D4—81no—
1051C2×D4—81no—
1052C2×D4—81no—
1053C2×D4—81no—
1054C2×D4—81no—
1055C2×D4—81no—
1056C2×D4—81no—
1057C2×D4—81no—
1058C2×D4—81no—
1059C2×D4—81no—
1060C2×D4—81no—
1061C2×D4—81no—
1062C2×D4—81no—
1063C2×D4—81no—
1064C2×D4—81no—
1065C2×D4—81no—
1066C2×D4—81no—
1067C2×D4—81no—
1068C2×D4—81no—
1069C2×D4—81no—
1070C2×D4—81no—
1071C2×D4—81no—
1072C2×D4—81no—
1073C2×D4—81no—
1074C2×D4H(5,𝔽2)12yes—
1075C2×D4H(5,𝔽2)12yes—
1076C22×C4—21no—
1077C22×C4—21no—
1078C22×C4—21no—
1079C22×C4—21no—
1080C22×C4—24no—
1081C22×C4—21no—
1082C22×C4—21no—
1083C22×C4—21no—
1084C22×C4—21no—
1085C22×C4—21no—
1086C22×C4—21no—
1087C22×C4—21no—
1088C22×C4—21no—
1089C22×C4—21no—
1090C22×C4—21no—
1091C22×C4—21no—
1092C22×C4—21no—
1093C22×C4—21no—
1094C22×C4—21no—
1095C22×C4—21no—
1096C22×C4—21no—
1097C22×C4—21no—
1098C22×C4—21no—
1099C22×C4—21no—
1100C22×C4—21no—
1101C22×C4—21no—
1102C22×C4—21no—
1103C22×C4—21no—
1104C22×C4—21no—
1105C22×C4—21no—
1106C22×C4—21no—
1107C22×C4—21no—
1108C22×C4—21no—
1109C22×C4—21no—
1110C22×C4—21no—
1111C22×C4—21no—
1112C22×C4—21no—
1113C22×C4—42no—
1114C22×C4—42no—
1115C22×C4—42no—
1116C22×C4—42no—
1117C22×C4—42no—
1118C22×C4—42no—
1119C22×C4—42no—
1120C22×C4—42no—
1121C22×C4—81no—
1122C22×C4—81no—
1123C22×C4—81no—
1124C22×C4—81no—
1125C22×C4—81no—
1126C22×C4—81no—
1127C22×C4—81no—
1128C22×C4—81no—
1129C22×C4—81no—
1130C22×C4—81no—
1131C22×C4—81no—
1132C22×C4—81no—
1133C22×C4—81no—
1134C22×C4—81no—
1135C22×C4—81no—
1136C22×C4—81no—
1137C22×C4—81no—
1138C22×C4—81no—
1139C22×C4C22×D411yescharacteristic
1140C22×C4C22×D411yescharacteristic
1141C22×C4C22×D411yescharacteristic
1142C22×C4C22×D411yescharacteristic
1143C22×C4C22×D411yescharacteristic
1144C22×C4C22×D411yescharacteristic
1145C22×C4C22×D411yescharacteristic
1146C22×C4C22×D411yescharacteristic
1147C22×C4C22×D411yescharacteristic
1148C22×C4C22×D411yescharacteristic
1149C22×C4C2511yescharacteristic
1150Q16—44no—
1151Q16—44no—
1152SD16—44no—
1153SD16—44no—
1154SD16—44no—
1155SD16—82no—
1156SD16—82no—
1157SD16—82no—
1158SD16—82no—
1159D8—44no—
1160D8—82no—
1161D8—82no—
1162M16—44no—
1163C2×C8—21no—
1164C2×C8—21no—
1165C2×C8—21no—
1166C2×C8—21no—
1167C2×C8—21no—
1168C2×C8—21no—
1169C2×C8—21no—
1170C2×C8—21no—
1171C2×C8—21no—
1172C2×C8—21no—
1173C2×C8—21no—
1174C2×C8—21no—
1175C2×C8—21no—
1176C2×C8—21no—
1177C2×C8—21no—
1178C2×C8—21no—
1179C2×C8—21no—
1180C2×C8—21no—
1181C2×C8—21no—
1182C2×C8—21no—
1183C2×C8—21no—
1184C2×C8—21no—
1185C2×C8—21no—
1186C2×C8—21no—
1187C4⋊C4—24no—
1188C4⋊C4—21no—
1189C4⋊C4—21no—
1190C4⋊C4—21no—
1191C4⋊C4—21no—
1192C4⋊C4—21no—
1193C4⋊C4—21no—
1194C4⋊C4—21no—
1195C4⋊C4—21no—
1196C4⋊C4—21no—
1197C4⋊C4—21no—
1198C4⋊C4—21no—
1199C4⋊C4—21no—
1200C4⋊C4—21no—
1201C4⋊C4—21no—
1202C4⋊C4—21no—
1203C4⋊C4—21no—
1204C4⋊C4—41no—
1205C4⋊C4—41no—
1206C4⋊C4—41no—
1207C4⋊C4—42no—
1208C4⋊C4—42no—
1209C4⋊C4—42no—
1210C4⋊C4—42no—
1211C4⋊C4—42no—
1212C4⋊C4—42no—
1213C4⋊C4—42no—
1214C4⋊C4—42no—
1215C4⋊C4—42no—
1216C4⋊C4—81no—
1217C4⋊C4—81no—
1218C4⋊C4—81no—
1219C4⋊C4—81no—
1220C4⋊C4—81no—
1221C4⋊C4H(5,𝔽2)12yes—
1222C4⋊C4H(5,𝔽2)12yes—
1223C22⋊C4—24no—
1224C22⋊C4—24no—
1225C22⋊C4—41no—
1226C22⋊C4—41no—
1227C22⋊C4—41no—
1228C22⋊C4—41no—
1229C22⋊C4—41no—
1230C22⋊C4—41no—
1231C22⋊C4—41no—
1232C22⋊C4—41no—
1233C22⋊C4—41no—
1234C22⋊C4—41no—
1235C22⋊C4—41no—
1236C22⋊C4—41no—
1237C22⋊C4—42no—
1238C22⋊C4—42no—
1239C22⋊C4—42no—
1240C22⋊C4—42no—
1241C22⋊C4—42no—
1242C22⋊C4—42no—
1243C22⋊C4—42no—
1244C22⋊C4—42no—
1245C22⋊C4—42no—
1246C22⋊C4—42no—
1247C22⋊C4—42no—
1248C22⋊C4—42no—
1249C22⋊C4—42no—
1250C22⋊C4—42no—
1251C22⋊C4—42no—
1252C22⋊C4—42no—
1253C22⋊C4—42no—
1254C22⋊C4—42no—
1255C22⋊C4—42no—
1256C22⋊C4—42no—
1257C22⋊C4—42no—
1258C22⋊C4—42no—
1259C22⋊C4—81no—
1260C22⋊C4—81no—
1261C22⋊C4—81no—
1262C22⋊C4—81no—
1263C22⋊C4—81no—
1264C22⋊C4—81no—
1265C22⋊C4—81no—
1266C22⋊C4—81no—
1267C22⋊C4—81no—
1268C22⋊C4—81no—
1269C22⋊C4—81no—
1270C22⋊C4—81no—
1271C22⋊C4—81no—
1272C22⋊C4—81no—
1273C42—21no—
1274C42—21no—
1275C42—21no—
1276C42—21no—
1277C42—21no—
1278C42—21no—
1279C42—42no—
1280C42—42no—
1281C42—42no—
1282C42—42no—
1283C23—21no—
1284C23—21no—
1285C23—21no—
1286C23—21no—
1287C23—21no—
1288C23—21no—
1289C23—21no—
1290C23—21no—
1291C23—21no—
1292C23—21no—
1293C23—21no—
1294C23—21no—
1295C23—21no—
1296C23—21no—
1297C23—21no—
1298C23—21no—
1299C23—21no—
1300C23—22no—
1301C23—22no—
1302C23—21no—
1303C23—21no—
1304C23—21no—
1305C23—21no—
1306C23—21no—
1307C23—21no—
1308C23—21no—
1309C23—21no—
1310C23—21no—
1311C23—21no—
1312C23—21no—
1313C23—41no—
1314C23—41no—
1315C23—41no—
1316C23—41no—
1317C23—41no—
1318C23—41no—
1319C23—41no—
1320C23—41no—
1321C23—41no—
1322C23—41no—
1323C23—41no—
1324C23—41no—
1325C23—41no—
1326C23—41no—
1327C23—41no—
1328C23—41no—
1329C23—41no—
1330C23—41no—
1331C23—41no—
1332C23—41no—
1333C23—41no—
1334C23—41no—
1335C23—41no—
1336C23—41no—
1337C23—41no—
1338C23—41no—
1339C23—84no—
1340C23—84no—
1341C23—162no—
1342C23—162no—
1343C23—162no—
1344C23—162no—
1345C23—162no—
1346C23C23×D411yescharacteristic
1347Q8—22no—
1348Q8—22no—
1349Q8—22no—
1350Q8—22no—
1351Q8—41no—
1352Q8—41no—
1353Q8—41no—
1354Q8—41no—
1355Q8—41no—
1356Q8—41no—
1357Q8—41no—
1358Q8—41no—
1359Q8—82no—
1360Q8—84no—
1361D4—22no—
1362D4—22no—
1363D4—22no—
1364D4—22no—
1365D4—41no—
1366D4—41no—
1367D4—41no—
1368D4—41no—
1369D4—41no—
1370D4—41no—
1371D4—41no—
1372D4—41no—
1373D4—41no—
1374D4—41no—
1375D4—41no—
1376D4—41no—
1377D4—84no—
1378D4—84no—
1379D4—82no—
1380D4—82no—
1381D4—82no—
1382D4—82no—
1383D4—82no—
1384D4—82no—
1385D4—84no—
1386D4—84no—
1387D4—84no—
1388D4—84no—
1389D4—84no—
1390D4—162no—
1391D4—162no—
1392D4—162no—
1393D4—162no—
1394D4—162no—
1395D4—162no—
1396D4—162no—
1397D4—162no—
1398D4—162no—
1399D4—162no—
1400D4—162no—
1401D4—162no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—22no—
1421C2×C4—21no—
1422C2×C4—22no—
1423C2×C4—21no—
1424C2×C4—22no—
1425C2×C4—22no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
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—41no—
1448C2×C4—41no—
1449C2×C4—41no—
1450C2×C4—41no—
1451C2×C4—41no—
1452C2×C4—41no—
1453C2×C4—41no—
1454C2×C4—41no—
1455C2×C4—41no—
1456C2×C4—41no—
1457C2×C4—41no—
1458C2×C4—41no—
1459C2×C4—41no—
1460C2×C4—41no—
1461C2×C4—41no—
1462C2×C4—41no—
1463C2×C4—41no—
1464C2×C4—41no—
1465C2×C4—41no—
1466C2×C4—41no—
1467C2×C4—41no—
1468C2×C4—41no—
1469C2×C4—41no—
1470C2×C4—41no—
1471C2×C4—41no—
1472C2×C4—41no—
1473C2×C4—41no—
1474C2×C4—41no—
1475C2×C4—41no—
1476C2×C4—41no—
1477C2×C4—41no—
1478C2×C4—41no—
1479C2×C4—41no—
1480C2×C4—41no—
1481C2×C4—41no—
1482C2×C4—41no—
1483C2×C4—41no—
1484C2×C4—84no—
1485C2×C4—84no—
1486C2×C4—84no—
1487C2×C4—84no—
1488C2×C4—162no—
1489C2×C4—162no—
1490C2×C4—162no—
1491C2×C4—162no—
1492C2×C4—162no—
1493C2×C4C2×H(5,𝔽2)11yescharacteristic
1494C2×C4C2×H(5,𝔽2)11yescharacteristic
1495C2×C4C2×H(5,𝔽2)11yescharacteristic
1496C2×C4C2×H(5,𝔽2)11yescharacteristic
1497C2×C4C2×H(5,𝔽2)11yescharacteristic
1498C2×C4C2×H(5,𝔽2)11yescharacteristic
1499C8—41no—
1500C8—41no—
1501C8—41no—
1502C8—41no—
1503C8—41no—
1504C8—41no—
1505C8—41no—
1506C8—41no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—42no—
1516C22—42no—
1517C22—41no—
1518C22—42no—
1519C22—41no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22—41no—
1524C22—42no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—41no—
1529C22—41no—
1530C22—41no—
1531C22—41no—
1532C22—42no—
1533C22—41no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—42no—
1540C22—41no—
1541C22—81no—
1542C22—81no—
1543C22—81no—
1544C22—81no—
1545C22—81no—
1546C22—81no—
1547C22—81no—
1548C22—81no—
1549C22—81no—
1550C22—81no—
1551C22—81no—
1552C22—81no—
1553C22—81no—
1554C22—81no—
1555C22—81no—
1556C22—81no—
1557C22—81no—
1558C22—81no—
1559C22—81no—
1560C22—81no—
1561C22—81no—
1562C22—81no—
1563C22—168no—
1564C22#348411yescharacteristic
1565C22#348411yescharacteristic
1566C22#348411yescharacteristic
1567C22#358411yescharacteristic
1568C22#358511yescharacteristic
1569C22#358511yescharacteristic
1570C22#358611yescharacteristic
1571C4—41no—
1572C4—41no—
1573C4—41no—
1574C4—41no—
1575C4—41no—
1576C4—42no—
1577C4—42no—
1578C4—41no—
1579C4—41no—
1580C4—41no—
1581C4—42no—
1582C4—41no—
1583C4—42no—
1584C4—41no—
1585C4—81no—
1586C4—81no—
1587C4—81no—
1588C4—81no—
1589C4—81no—
1590C4—81no—
1591C4—81no—
1592C4—81no—
1593C4#353211yescharacteristic
1594C4#353711yescharacteristic
1595C4#353711yescharacteristic
1596C4#354311yescharacteristic
1597C2—81no—
1598C2—81no—
1599C2—81no—
1600C2—81no—
1601C2—82no—
1602C2—82no—
1603C2—161no—
1604C2—161no—
1605C2#4782711yescharacteristic
1606C2#6161511yescharacteristic
1607C2#6165411yescharacteristic
1608C2#6165611yescharacteristic
1609C2#6167511yescharacteristic
1610C2#6167811yescharacteristic
1611C2#6169011yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2388 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #44886C2semidirect
2. #42908C2semidirect
3. #32036C2semidirect
4. #31855C2semidirect
5. #31845C2semidirect
6. #31678C2semidirect
7. #31406C2semidirect
8. #31399C2semidirect
9. #31043C2semidirect
10. #31031C2semidirect
11. #31004C2semidirect
12. #30999C2semidirect
13. #30463C2semidirect
14. #30460C2semidirect
15. #29608C2semidirect
16. #29604C2semidirect
17. #26683C2semidirect
18. #26674C2semidirect
19. #26646C2semidirect
20. #26617C2semidirect
21. #25768C2semidirect
22. #25178C2semidirect
23. #25162C2semidirect
24. #24250C2semidirect
25. #24245C2semidirect
26. #23929C2semidirect
27. #23924C2semidirect
28. #23871C2semidirect
29. #23870C2semidirect
30. #23862C2semidirect
31. #23313C2semidirect
34. C2×#548C22semidirect
40. C2×#484C22semidirect
45. C2×#452C22semidirect
46. C2×#452C22semidirect
47. C2×#452C22semidirect
51. C2×#449C22semidirect
52. C2×#449C22semidirect
54. C2×#448C22semidirect
58. C2×#440C22semidirect
76. #2535C22semidirect
77. #2503C22semidirect
78. #2487C22semidirect
84. #2427C22semidirect
89. #2421C22semidirect
93. #2409C22semidirect
98. #2339C22semidirect
99. #2101C22semidirect
100. #2101C22semidirect
101. #2077C22semidirect
102. #2075C22semidirect
104. #2073C22semidirect
105. #2068C22semidirect
106. #2068C22semidirect
108. #2066C22semidirect
110. #2055C22semidirect
114. #2036C22semidirect
121. #2033C22semidirect
122. #2033C22semidirect
125. #2015C22semidirect
131. #2001C22semidirect
141. #2000C22semidirect
146. #1999C22semidirect
147. #1983C22semidirect
149. #1968C22semidirect
152. #1955C22semidirect
153. #1955C22semidirect
156. #1935C22semidirect
157. #1935C22semidirect
158. #1933C22semidirect
161. #1924C22semidirect
162. #1924C22semidirect
163. #1923C22semidirect
164. #1923C22semidirect
165. #1921C22semidirect
166. #1921C22semidirect
168. #1895C22semidirect
169. #1895C22semidirect
172. #1879C22semidirect
173. #1878C22semidirect
174. #1878C22semidirect
175. #1878C22semidirect
181. #1874C22semidirect
182. #1874C22semidirect
184. #1872C22semidirect
185. #1872C22semidirect
187. #1870C22semidirect
188. #1870C22semidirect
189. #1864C22semidirect
190. #1862C22semidirect
192. #1823C22semidirect
193. #1805C22semidirect
197. #1788C22semidirect
198. #1787C22semidirect
202. #1763C22semidirect

Maximal subgroups

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

subgroupindex
#448862
#429082
#320362
#318552
#318452
#316782
#314062
#313992
#310432
#310312
#310042
#309992
#304632
#304602
#296082
#296042
#266832
#266742
#266462
#266172
#257682
#251782
#251622
#242502
#242452
#239292
#239242
#238712
#238702
#238622
#233132