Finite Group Databasebeta

← #7301682

Subgroups — #7301682

Order 512.

2194 conjugacy classes of subgroups.

The subgroup lattice has 1665 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#44870C211yesmaximal, characteristic, complemented
2#42796C211yesmaximal, characteristic, complemented
3#32045C211yesmaximal, characteristic, complemented
4#31850C211yesmaximal, characteristic, complemented
5#31835C211yesmaximal, characteristic, complemented
6#31676C211yesmaximal, characteristic, complemented
7#31409C211yesmaximal, characteristic, complemented
8#31403C211yesmaximal, characteristic, complemented
9#31046C211yesmaximal, characteristic, complemented
10#31030C211yesmaximal, characteristic, complemented
11#31004C211yesmaximal, characteristic, complemented
12#30988C211yesmaximal, characteristic, complemented
13#30472C211yesmaximal, characteristic, complemented
14#30472C211yesmaximal, characteristic, complemented
15#29602C211yesmaximal, characteristic, complemented
16#29602C211yesmaximal, characteristic, complemented
17#26687C211yesmaximal, characteristic, complemented
18#26686C211yesmaximal, characteristic, complemented
19#26643C211yesmaximal, characteristic, complemented
20#26626C211yesmaximal, characteristic, complemented
21#25768C211yesmaximal, characteristic, complemented
22#25165C211yesmaximal, characteristic, complemented
23#25153C211yesmaximal, characteristic, complemented
24#24252C211yesmaximal, characteristic, complemented
25#24240C211yesmaximal, characteristic, complemented
26#23926C211yesmaximal, characteristic, complemented
27#23926C211yesmaximal, characteristic, complemented
28#23866C211yesmaximal, characteristic, complemented
29#23860C211yesmaximal, characteristic, complemented
30#23860C211yesmaximal, characteristic, complemented
31#23313C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic
33C2×#548C2211yescharacteristic, complemented
34C2×D42C2211yescharacteristic
35C2×D42C2211yescharacteristic
36C2×#536C2211yescharacteristic, complemented
37C2×#535C2211yescharacteristic
38C2×#535C2211yescharacteristic
39C2×#496C2211yescharacteristic, complemented
40C2×#482C2211yescharacteristic, complemented
41C2×#482C2211yescharacteristic, complemented
42C2×#460C2211yescharacteristic
43C2×#460C2211yescharacteristic
44C2×#460C2211yescharacteristic, complemented
45C2×#449C2211yescharacteristic, complemented
46C2×#449C2211yescharacteristic, complemented
47C2×#448C2211yescharacteristic, complemented
48C2×#448C2211yescharacteristic, complemented
49C2×#448C2211yescharacteristic, complemented
50C2×#448C2211yescharacteristic, complemented
51C2×#450C2211yescharacteristic
52C2×#450C2211yescharacteristic, complemented
53C2×#450C2211yescharacteristic, complemented
54C2×#450C2211yescharacteristic, complemented
55C2×#450C2211yescharacteristic, complemented
56C2×#447C2211yescharacteristic, complemented
57C2×#447C2211yescharacteristic, complemented
58C2×#440C2211yescharacteristic, complemented
59C2×C4×SD16C2211yescharacteristic, complemented
60#2813—21no—
61#2733—21no—
62#2731—21no—
63#2730—21no—
64#2729—21no—
65#2679—21no—
66#2670—21no—
67#2669—21no—
68#2669—21no—
69#2661—21no—
70#2630—21no—
71#2615C2211yescharacteristic, complemented
72#2602—21no—
73#2555—21no—
74#2541C2211yescharacteristic
75#2538C2211yescharacteristic, complemented
76#2536C2211yescharacteristic, complemented
77#2500C2211yescharacteristic, complemented
78#2485C2211yescharacteristic, complemented
79#2433—21no—
80#2433—21no—
81#2433C2211yescharacteristic
82#2433C2211yescharacteristic
83#2428C2211yescharacteristic
84#2428C2211yescharacteristic
85#2426C2211yescharacteristic, complemented
86#2426C2211yescharacteristic, complemented
87#2423C2211yescharacteristic, complemented
88#2421C2211yescharacteristic, complemented
89#2414C2211yescharacteristic
90#2414C2211yescharacteristic
91#2408C2211yescharacteristic
92#2407C2211yescharacteristic, complemented
93#2407C2211yescharacteristic, complemented
94#2403—21no—
95#2388C2211yescharacteristic
96#2363C2211yescharacteristic
97#2363C2211yescharacteristic
98Q8×C22⋊C4C2211yescharacteristic, complemented
99#2101C2211yescharacteristic, complemented
100#2100C2211yescharacteristic, complemented
101#2077C2211yescharacteristic, complemented
102#2075C2211yescharacteristic, complemented
103#2073C2211yescharacteristic, complemented
104#2071C2211yescharacteristic, complemented
105#2068C2211yescharacteristic, complemented
106#2067C2211yescharacteristic, complemented
107#2066C2211yescharacteristic, complemented
108#2065C2211yescharacteristic, complemented
109#2054C2211yescharacteristic, complemented
110#2054C2211yescharacteristic, complemented
111#2041C2211yescharacteristic, complemented
112#2041C2211yescharacteristic, complemented
113#2034C2211yescharacteristic
114#2034C2211yescharacteristic, complemented
115#2034C2211yescharacteristic, complemented
116#2034C2211yescharacteristic, complemented
117#2034C2211yescharacteristic, complemented
118#2033C2211yescharacteristic
119#2033C2211yescharacteristic, complemented
120#2033C2211yescharacteristic, complemented
121#2033C2211yescharacteristic, complemented
122#2033C2211yescharacteristic, complemented
123#2014C2211yescharacteristic
124#2014C2211yescharacteristic
125#2012C2211yescharacteristic, complemented
126#2012C2211yescharacteristic, complemented
127#2011C2211yescharacteristic
128#2011C2211yescharacteristic
129#2000C2211yescharacteristic
130#2000C2211yescharacteristic
131#2000C2211yescharacteristic
132#2000C2211yescharacteristic
133#2000C2211yescharacteristic, complemented
134#2000C2211yescharacteristic, complemented
135#2000C2211yescharacteristic, complemented
136#2000C2211yescharacteristic, complemented
137#2000C2211yescharacteristic, complemented
138#2000C2211yescharacteristic, complemented
139#1999C2211yescharacteristic
140#1999C2211yescharacteristic
141#1999C2211yescharacteristic, complemented
142#1999C2211yescharacteristic, complemented
143#1999C2211yescharacteristic, complemented
144#1999C2211yescharacteristic, complemented
145#1999C2211yescharacteristic, complemented
146#1999C2211yescharacteristic, complemented
147#1983C2211yescharacteristic, complemented
148#1973C2211yescharacteristic, complemented
149#1968C2211yescharacteristic, complemented
150#1961C2211yescharacteristic
151#1957C2211yescharacteristic
152#1955C2211yescharacteristic, complemented
153#1955C2211yescharacteristic, complemented
154#1954C2211yescharacteristic, complemented
155#1936C2211yescharacteristic, complemented
156#1936C2211yescharacteristic, complemented
157#1936C2211yescharacteristic, complemented
158#1934C2211yescharacteristic, complemented
159#1924C2211yescharacteristic, complemented
160#1924C2211yescharacteristic, complemented
161#1924C2211yescharacteristic, complemented
162#1924C2211yescharacteristic, complemented
163#1923C2211yescharacteristic, complemented
164#1923C2211yescharacteristic, complemented
165#1920C2211yescharacteristic, complemented
166#1918C2211yescharacteristic, complemented
167#1895C2211yescharacteristic, complemented
168#1895C2211yescharacteristic, complemented
169#1894C2211yescharacteristic, complemented
170#1880C2211yescharacteristic, complemented
171#1880C2211yescharacteristic, complemented
172#1880C2211yescharacteristic, complemented
173#1880C2211yescharacteristic, complemented
174#1879C2211yescharacteristic, complemented
175#1879C2211yescharacteristic, complemented
176#1877C2211yescharacteristic, complemented
177#1877C2211yescharacteristic, complemented
178#1875C2211yescharacteristic, complemented
179#1875C2211yescharacteristic, complemented
180#1875C2211yescharacteristic, complemented
181#1875C2211yescharacteristic, complemented
182#1873C2211yescharacteristic, complemented
183#1873C2211yescharacteristic, complemented
184#1873C2211yescharacteristic, complemented
185#1873C2211yescharacteristic, complemented
186#1870C2211yescharacteristic, complemented
187#1870C2211yescharacteristic, complemented
188#1870C2211yescharacteristic, complemented
189#1865C2211yescharacteristic, complemented
190#1863C2211yescharacteristic, complemented
191#1825C2211yescharacteristic, complemented
192#1825C2211yescharacteristic, complemented
193#1804C2211yescharacteristic, complemented
194#1802C2211yescharacteristic, complemented
195#1788C2211yescharacteristic, complemented
196#1786C2211yescharacteristic
197#1786C2211yescharacteristic
198#1786C2211yescharacteristic, complemented
199#1786C2211yescharacteristic, complemented
200#1780C2211yescharacteristic, complemented
201#1780C2211yescharacteristic, complemented
202#1763C2211yescharacteristic, complemented
203C22×#41C2311yescharacteristic
204C22×#41C2311yescharacteristic
205C23×Q8C2311yescharacteristic
206C23×D4—21no—
207C23×D4—21no—
208C23×D4C2311yescharacteristic
209C23×D4C2311yescharacteristic
210C23×D4C2311yescharacteristic
211C2×AGL(1,ℤ/8)—42no—
212C2×AGL(1,ℤ/8)—42no—
213C2×AGL(1,ℤ/8)—42no—
214C22×SD16C2311yescharacteristic
215C22×SD16C2311yescharacteristic
216C22×SD16C2311yescharacteristic
217C22×SD16C2311yescharacteristic
218C22×SD16C2311yescharacteristic
219C22×SD16C2311yescharacteristic
220C22×SD16C2311yescharacteristic
221C22×SD16C2311yescharacteristic
222C22×D8C2311yescharacteristic
223C22×D8C2311yescharacteristic
224C22×D8C2311yescharacteristic
225C22×D8C2311yescharacteristic
226C22×M16C2311yescharacteristic
227#548—42no—
228#548—42no—
229D42—42no—
230D42—42no—
231D42—42no—
232D42—42no—
233#536—42no—
234#536—42no—
235#535—42no—
236#535—42no—
237#535—42no—
238#535—42no—
239C2×C4⋊Q8—21no—
240C2×#127—21no—
241C2×#127—21no—
242C2×#127—21no—
243C2×#127C2311yescharacteristic
244C2×#127C2311yescharacteristic
245C2×#127C2311yescharacteristic
246C2×#124—21no—
247C2×#124—21no—
248C2×#124—21no—
249C2×#124—21no—
250C2×#124C2311yescharacteristic
251C2×#123—21no—
252C2×#123—21no—
253C2×C22⋊Q8—21no—
254C2×C22⋊Q8C2311yescharacteristic
255C2×C22⋊Q8C2311yescharacteristic
256C2×C22⋊Q8C2311yescharacteristic
257C2×C22⋊Q8C2311yescharacteristic
258C2×C22⋊Q8C2311yescharacteristic
259C2×#121—21no—
260C2×#121—21no—
261C2×#121—21no—
262C2×#121—21no—
263C2×#121—21no—
264C2×#121C2311yescharacteristic
265C2×#121C2311yescharacteristic
266C2×#121C2311yescharacteristic
267C2×#121C2311yescharacteristic
268C2×#121C2311yescharacteristic
269C2×#121C2311yescharacteristic
270C2×#121C2311yescharacteristic
271C2×#121C2311yescharacteristic
272C2×#121C2311yescharacteristic
273C2×#121C2311yescharacteristic
274C2×#121C2311yescharacteristic
275C2×#121C2311yescharacteristic
276C2×#121C2311yescharacteristic
277C2×#120—21no—
278C2×#120—21no—
279C2×#120—21no—
280C2×#120—21no—
281C2×#120—21no—
282C2×#120—21no—
283C2×#120—21no—
284C2×#120—21no—
285C2×#120—21no—
286C2×#120—21no—
287C2×#120—21no—
288C2×#120—21no—
289C2×#120—21no—
290C2×C4×Q8C2311yescharacteristic
291C2×C4×Q8C2311yescharacteristic
292C2×C4×Q8C2311yescharacteristic
293C2×C4×D4—21no—
294C2×C4×D4C2311yescharacteristic
295C2×C4×D4C2311yescharacteristic
296C2×C4×D4C2311yescharacteristic
297C2×C4×D4C2311yescharacteristic
298C2×C4×D4C2311yescharacteristic
299C2×#117C2311yescharacteristic
300C2×#117C2311yescharacteristic
301C2×#117C2311yescharacteristic
302#496—42no—
303#482—42no—
304#482—42no—
305#460—42no—
306#460—42no—
307#460—42no—
308#450—42no—
309#450—42no—
310#450—42no—
311#450—42no—
312#450—42no—
313#449—42no—
314#449—42no—
315#448—42no—
316#448—42no—
317#448—42no—
318#448—42no—
319#447—42no—
320#447—42no—
321#440—42no—
322C4×SD16—42no—
323C2×#107C2311yescharacteristic
324C2×#107C2311yescharacteristic
325C2×#106C2311yescharacteristic
326C2×#106C2311yescharacteristic
327C2×C4⋊C8C2311yescharacteristic
328C2×C4⋊C8C2311yescharacteristic
329C2×C4⋊C8C2311yescharacteristic
330C2×#103C2311yescharacteristic
331C2×#103C2311yescharacteristic
332C2×#103C2311yescharacteristic
333C2×#103C2311yescharacteristic
334C2×#103C2311yescharacteristic
335C2×#103C2311yescharacteristic
336C2×#103C2311yescharacteristic
337C2×#103C2311yescharacteristic
338C2×#102C2311yescharacteristic
339C2×#102C2311yescharacteristic
340C2×#102C2311yescharacteristic
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×#102C2311yescharacteristic
361C2×#102C2311yescharacteristic
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×C22⋊C8C2311yescharacteristic
376C2×C22⋊C8C2311yescharacteristic
377C2×#97C2311yescharacteristic
378C2×#97C2311yescharacteristic
379C2×C4×C8C2311yescharacteristic
380#400—21no—
381#399—21no—
382#398—21no—
383#398—21no—
384#397—21no—
385#397—21no—
386#396—21no—
387#396—21no—
388#396—21no—
389#396—21no—
390#395D411yescharacteristic
391#394—21no—
392#394—21no—
393#394—21no—
394#394—21no—
395#394—21no—
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#394D411yescharacteristic
405#394D411yescharacteristic
406#394D411yescharacteristic
407#393—21no—
408#393D411yescharacteristic
409#392—21no—
410#392—21no—
411#392—21no—
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#392—21no—
424#392—21no—
425#392D411yescharacteristic
426#392D411yescharacteristic
427#392D411yescharacteristic
428#391—21no—
429#391—21no—
430#391C2311yescharacteristic
431#391C2311yescharacteristic
432#390—21no—
433#390—21no—
434#390—21no—
435#390—21no—
436#390—21no—
437#390—21no—
438#390—21no—
439#390—21no—
440#390C2311yescharacteristic
441#390C2311yescharacteristic
442#390C2311yescharacteristic
443#390C2311yescharacteristic
444#390C2311yescharacteristic
445#390C2311yescharacteristic
446#389—21no—
447#389C2311yescharacteristic
448#389C2311yescharacteristic
449#389C2311yescharacteristic
450#389C2311yescharacteristic
451#388—21no—
452#388—21no—
453#388—21no—
454#388—21no—
455#388—21no—
456#388—21no—
457#388—21no—
458#388—21no—
459#388—21no—
460#388—21no—
461#388—21no—
462#388—21no—
463#388—21no—
464#387—21no—
465#387—21no—
466#387—21no—
467#386—21no—
468#386—21no—
469#386—21no—
470#386—21no—
471#386—21no—
472#386—21no—
473#385—21no—
474#385—21no—
475#384C2311yescharacteristic
476#382C2311yescharacteristic
477#380—21no—
478#380C2311yescharacteristic
479#380C2311yescharacteristic
480#380C2311yescharacteristic
481#380C2311yescharacteristic
482#380C2311yescharacteristic
483#380C2311yescharacteristic
484#379—21no—
485C4×C4⋊C4C2311yescharacteristic
486C4×C22⋊C4—21no—
487C4×C22⋊C4—21no—
488C4×C22⋊C4—21no—
489C4×C22⋊C4C2311yescharacteristic
490C4×C22⋊C4C2311yescharacteristic
491C4×C22⋊C4C2311yescharacteristic
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—
515C25—21no—
516C25—21no—
517C2×#41—22no—
518C2×#41—41no—
519C2×#41—41no—
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—
529C22×Q8—22no—
530C22×Q8—22no—
531C22×Q8—21no—
532C22×Q8—41no—
533C22×Q8—41no—
534C22×Q8—41no—
535C22×Q8—41no—
536C22×Q8C2×D411yescharacteristic
537C22×Q8C2411yescharacteristic
538C22×Q8C2411yescharacteristic
539C22×D4—21no—
540C22×D4—21no—
541C22×D4—22no—
542C22×D4—22no—
543C22×D4—22no—
544C22×D4—22no—
545C22×D4—21no—
546C22×D4—21no—
547C22×D4—21no—
548C22×D4—21no—
549C22×D4—21no—
550C22×D4—21no—
551C22×D4—21no—
552C22×D4—21no—
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—41no—
567C22×D4—41no—
568C22×D4—41no—
569C22×D4—41no—
570C22×D4—41no—
571C22×D4—41no—
572C22×D4—41no—
573C22×D4—41no—
574C22×D4—41no—
575C22×D4—41no—
576C22×D4—41no—
577C22×D4—41no—
578C22×D4—41no—
579C22×D4—41no—
580C22×D4—44no—
581C22×D4—44no—
582C22×D4—82no—
583C22×D4—82no—
584C22×D4—82no—
585C22×D4—82no—
586C22×D4C2×D411yescharacteristic
587C22×D4C2×D411yescharacteristic
588C22×D4C2×D411yescharacteristic
589C22×D4C2×D411yescharacteristic
590C22×D4C2×D411yescharacteristic
591C22×D4C2×D411yescharacteristic
592C22×D4C2411yescharacteristic
593C22×D4C2411yescharacteristic
594C22×D4C2411yescharacteristic
595C22×D4C2411yescharacteristic
596C22×D4C2411yescharacteristic
597C23×C4—21no—
598C23×C4—21no—
599C23×C4—21no—
600C23×C4—21no—
601C23×C4C2411yescharacteristic
602C23×C4C2411yescharacteristic
603C23×C4C2411yescharacteristic
604C23×C4C2411yescharacteristic
605AGL(1,ℤ/8)—416no—
606C2×SD16—22no—
607C2×SD16—22no—
608C2×SD16—22no—
609C2×SD16—22no—
610C2×SD16—22no—
611C2×SD16—22no—
612C2×SD16—22no—
613C2×SD16—22no—
614C2×SD16—22no—
615C2×SD16—22no—
616C2×SD16—22no—
617C2×SD16—22no—
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×SD16—41no—
627C2×SD16—41no—
628C2×SD16—41no—
629C2×SD16—41no—
630C2×D8—22no—
631C2×D8—22no—
632C2×D8—41no—
633C2×D8—41no—
634C2×D8—41no—
635C2×D8—41no—
636C2×D8—41no—
637C2×D8—41no—
638C2×D8—41no—
639C2×D8—41no—
640C2×D8—41no—
641C2×D8—41no—
642C2×M16—41no—
643C2×M16—41no—
644C2×M16—41no—
645C22×C8C2411yescharacteristic
646C22×C8C2411yescharacteristic
647C22×C8C2411yescharacteristic
648C22×C8C2411yescharacteristic
649C22×C8C2411yescharacteristic
650C22×C8C2411yescharacteristic
651C22×C8C2411yescharacteristic
652C22×C8C2411yescharacteristic
653C4⋊Q8—44no—
654#127—22no—
655#127—22no—
656#127—41no—
657#127—41no—
658#127—41no—
659#127—41no—
660#127—44no—
661#127—44no—
662#127—82no—
663#124—22no—
664#124—41no—
665#124—44no—
666#124—44no—
667#124—44no—
668#124—44no—
669#123—44no—
670#123—44no—
671C22⋊Q8—22no—
672C22⋊Q8—22no—
673C22⋊Q8—22no—
674C22⋊Q8—22no—
675C22⋊Q8—22no—
676C22⋊Q8—41no—
677C22⋊Q8—41no—
678C22⋊Q8—41no—
679C22⋊Q8—41no—
680C22⋊Q8—41no—
681C22⋊Q8—44no—
682#121—22no—
683#121—22no—
684#121—22no—
685#121—22no—
686#121—22no—
687#121—22no—
688#121—22no—
689#121—22no—
690#121—22no—
691#121—22no—
692#121—44no—
693#121—44no—
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—41no—
703#121—41no—
704#121—41no—
705#121—41no—
706#121—44no—
707#121—41no—
708#121—41no—
709#121—41no—
710#121—41no—
711#121—82no—
712#121—82no—
713#120—44no—
714#120—44no—
715#120—44no—
716#120—44no—
717#120—44no—
718#120—44no—
719#120—44no—
720#120—44no—
721#120—82no—
722#120—82no—
723#120—82no—
724#120—82no—
725#120—82no—
726C4×Q8—22no—
727C4×Q8—41no—
728C4×Q8—41no—
729C4×Q8—41no—
730C4×Q8—41no—
731C4×Q8—41no—
732C4×D4—22no—
733C4×D4—22no—
734C4×D4—41no—
735C4×D4—41no—
736C4×D4—41no—
737C4×D4—41no—
738C4×D4—41no—
739C4×D4—41no—
740C4×D4—41no—
741C4×D4—41no—
742C4×D4—44no—
743#117—22no—
744#117—22no—
745#117—41no—
746#117—41no—
747#117—41no—
748#117—41no—
749C2×C4⋊C4—21no—
750C2×C4⋊C4—21no—
751C2×C4⋊C4—21no—
752C2×C4⋊C4—21no—
753C2×C4⋊C4—21no—
754C2×C4⋊C4—21no—
755C2×C4⋊C4—21no—
756C2×C4⋊C4—21no—
757C2×C4⋊C4—21no—
758C2×C4⋊C4—21no—
759C2×C4⋊C4—21no—
760C2×C4⋊C4—21no—
761C2×C4⋊C4—21no—
762C2×C4⋊C4—21no—
763C2×C4⋊C4C2×D411yescharacteristic
764C2×C4⋊C4C2×D411yescharacteristic
765C2×C4⋊C4C2×D411yescharacteristic
766C2×C4⋊C4C2411yescharacteristic
767C2×C4⋊C4C2411yescharacteristic
768C2×C4⋊C4C2411yescharacteristic
769C2×C4⋊C4C2411yescharacteristic
770C2×C4⋊C4C2411yescharacteristic
771C2×C4⋊C4C2411yescharacteristic
772C2×C4⋊C4C2411yescharacteristic
773C2×C4⋊C4C2411yescharacteristic
774C2×C4⋊C4C2411yescharacteristic
775C2×C22⋊C4—21no—
776C2×C22⋊C4—21no—
777C2×C22⋊C4—21no—
778C2×C22⋊C4—21no—
779C2×C22⋊C4—21no—
780C2×C22⋊C4—21no—
781C2×C22⋊C4—21no—
782C2×C22⋊C4—21no—
783C2×C22⋊C4—21no—
784C2×C22⋊C4—21no—
785C2×C22⋊C4—21no—
786C2×C22⋊C4—21no—
787C2×C22⋊C4—21no—
788C2×C22⋊C4—21no—
789C2×C22⋊C4—21no—
790C2×C22⋊C4—21no—
791C2×C22⋊C4—21no—
792C2×C22⋊C4—21no—
793C2×C22⋊C4—21no—
794C2×C22⋊C4—21no—
795C2×C22⋊C4—21no—
796C2×C22⋊C4—21no—
797C2×C22⋊C4—21no—
798C2×C22⋊C4—21no—
799C2×C22⋊C4—21no—
800C2×C22⋊C4—21no—
801C2×C22⋊C4—21no—
802C2×C22⋊C4—21no—
803C2×C22⋊C4—21no—
804C2×C22⋊C4—21no—
805C2×C22⋊C4—21no—
806C2×C22⋊C4—21no—
807C2×C22⋊C4—21no—
808C2×C22⋊C4—21no—
809C2×C22⋊C4—21no—
810C2×C22⋊C4—21no—
811C2×C22⋊C4—21no—
812C2×C22⋊C4—21no—
813C2×C22⋊C4—21no—
814C2×C22⋊C4—21no—
815C2×C22⋊C4—21no—
816C2×C22⋊C4—21no—
817C2×C22⋊C4—21no—
818C2×C22⋊C4C2×D411yescharacteristic
819C2×C22⋊C4C2×D411yescharacteristic
820C2×C22⋊C4C2×D411yescharacteristic
821C2×C22⋊C4C2×D411yescharacteristic
822C2×C22⋊C4C2×D411yescharacteristic
823C2×C22⋊C4C2×D411yescharacteristic
824C2×C22⋊C4C2×D411yescharacteristic
825C2×C22⋊C4C2×D411yescharacteristic
826C2×C22⋊C4C2×D411yescharacteristic
827C2×C22⋊C4C2×D411yescharacteristic
828C2×C22⋊C4C2×D411yescharacteristic
829C2×C22⋊C4C2×D411yescharacteristic
830C2×C42—21no—
831C2×C42—21no—
832C2×C42—21no—
833C2×C42—21no—
834C2×C42—21no—
835C2×C42—21no—
836C2×C42—21no—
837C2×C42C2411yescharacteristic
838C2×C42C2411yescharacteristic
839C2×C42C2411yescharacteristic
840#107—22no—
841#107—41no—
842#106—22no—
843#106—41no—
844C4⋊C8—41no—
845C4⋊C8—41no—
846C4⋊C8—41no—
847#103—22no—
848#103—22no—
849#103—22no—
850#103—22no—
851#103—41no—
852#103—41no—
853#103—41no—
854#103—41no—
855#102—22no—
856#102—22no—
857#102—22no—
858#102—22no—
859#102—41no—
860#102—41no—
861#102—41no—
862#102—41no—
863#102—41no—
864#102—41no—
865#102—41no—
866#102—41no—
867#102—41no—
868#102—41no—
869#102—41no—
870#102—41no—
871#102—41no—
872#102—41no—
873#102—41no—
874#102—41no—
875#102—41no—
876#102—41no—
877#102—41no—
878#102—41no—
879C22⋊C8—41no—
880C22⋊C8—41no—
881C22⋊C8—41no—
882C22⋊C8—41no—
883C22⋊C8—41no—
884C22⋊C8—41no—
885C22⋊C8—41no—
886C22⋊C8—41no—
887C22⋊C8—41no—
888C22⋊C8—41no—
889C22⋊C8—41no—
890C22⋊C8—41no—
891C22⋊C8—41no—
892C22⋊C8—41no—
893C22⋊C8—41no—
894#97—41no—
895#97—41no—
896C4×C8—41no—
897#95—21no—
898#95—21no—
899#95—21no—
900#95—21no—
901#95—21no—
902#95—21no—
903#95—21no—
904#95—21no—
905#95—21no—
906#95—21no—
907#95—21no—
908#95—21no—
909#95—21no—
910#95—21no—
911#95—21no—
912#95—21no—
913#95—21no—
914#95C2×D411yescharacteristic
915#95C2×D411yescharacteristic
916#95C2×D411yescharacteristic
917#95C2×D411yescharacteristic
918#95C2×D411yescharacteristic
919#95C2×D411yescharacteristic
920C24—21no—
921C24—21no—
922C24—21no—
923C24—21no—
924C24—21no—
925C24—42no—
926C24—42no—
927C24—42no—
928C24—42no—
929C24—42no—
930C24—42no—
931C24—42no—
932C24—81no—
933C24—81no—
934C24—81no—
935C24—81no—
936C24—81no—
937C24—81no—
938C24—81no—
939C24—81no—
940C24—81no—
941C24—81no—
942C24—81no—
943C24—81no—
944C24—81no—
945C24—81no—
946C24C22×D411yescharacteristic
947C24C22×D411yescharacteristic
948C24C22×D411yescharacteristic
949C24C22×D411yescharacteristic
950#41—44no—
951#41—82no—
952#41—82no—
953#41—82no—
954#41—82no—
955#41—82no—
956#41—82no—
957#41—82no—
958C2×Q8—24no—
959C2×Q8—21no—
960C2×Q8—21no—
961C2×Q8—21no—
962C2×Q8—21no—
963C2×Q8—21no—
964C2×Q8—21no—
965C2×Q8—21no—
966C2×Q8—21no—
967C2×Q8—21no—
968C2×Q8—21no—
969C2×Q8—41no—
970C2×Q8—41no—
971C2×Q8—41no—
972C2×Q8—81no—
973C2×Q8—81no—
974C2×Q8—82no—
975C2×Q8—82no—
976C2×Q8—82no—
977C2×Q8—82no—
978C2×Q8H(5,𝔽2)12yes—
979C2×Q8H(5,𝔽2)12yes—
980C2×D4—24no—
981C2×D4—24no—
982C2×D4—22no—
983C2×D4—21no—
984C2×D4—21no—
985C2×D4—21no—
986C2×D4—21no—
987C2×D4—21no—
988C2×D4—21no—
989C2×D4—21no—
990C2×D4—21no—
991C2×D4—21no—
992C2×D4—21no—
993C2×D4—21no—
994C2×D4—21no—
995C2×D4—21no—
996C2×D4—21no—
997C2×D4—21no—
998C2×D4—21no—
999C2×D4—21no—
1000C2×D4—21no—
1001C2×D4—21no—
1002C2×D4—21no—
1003C2×D4—21no—
1004C2×D4—21no—
1005C2×D4—21no—
1006C2×D4—21no—
1007C2×D4—21no—
1008C2×D4—21no—
1009C2×D4—21no—
1010C2×D4—21no—
1011C2×D4—41no—
1012C2×D4—41no—
1013C2×D4—41no—
1014C2×D4—41no—
1015C2×D4—41no—
1016C2×D4—41no—
1017C2×D4—41no—
1018C2×D4—41no—
1019C2×D4—41no—
1020C2×D4—41no—
1021C2×D4—41no—
1022C2×D4—41no—
1023C2×D4—41no—
1024C2×D4—41no—
1025C2×D4—41no—
1026C2×D4—41no—
1027C2×D4—41no—
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—42no—
1037C2×D4—42no—
1038C2×D4—42no—
1039C2×D4—42no—
1040C2×D4—42no—
1041C2×D4—42no—
1042C2×D4—42no—
1043C2×D4—42no—
1044C2×D4—42no—
1045C2×D4—44no—
1046C2×D4—42no—
1047C2×D4—42no—
1048C2×D4—42no—
1049C2×D4—42no—
1050C2×D4—42no—
1051C2×D4—42no—
1052C2×D4—42no—
1053C2×D4—42no—
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—82no—
1069C2×D4—82no—
1070C2×D4—82no—
1071C2×D4—82no—
1072C2×D4—82no—
1073C2×D4—82no—
1074C2×D4—82no—
1075C2×D4—82no—
1076C2×D4—82no—
1077C2×D4—82no—
1078C2×D4—82no—
1079C2×D4—81no—
1080C2×D4—81no—
1081C2×D4—81no—
1082C2×D4—81no—
1083C2×D4—81no—
1084C2×D4—81no—
1085C2×D4—81no—
1086C2×D4—81no—
1087C2×D4—81no—
1088C2×D4—81no—
1089C2×D4—81no—
1090C2×D4—81no—
1091C2×D4—81no—
1092C2×D4—81no—
1093C2×D4—81no—
1094C2×D4—81no—
1095C2×D4—81no—
1096C2×D4—81no—
1097C2×D4—81no—
1098C2×D4—81no—
1099C2×D4—81no—
1100C2×D4—81no—
1101C2×D4—81no—
1102C2×D4—81no—
1103C2×D4—81no—
1104C2×D4—81no—
1105C2×D4—81no—
1106C2×D4—81no—
1107C2×D4—816no—
1108C2×D4—816no—
1109C2×D4H(5,𝔽2)12yes—
1110C2×D4H(5,𝔽2)12yes—
1111C22×C4—21no—
1112C22×C4—21no—
1113C22×C4—21no—
1114C22×C4—21no—
1115C22×C4—24no—
1116C22×C4—21no—
1117C22×C4—21no—
1118C22×C4—21no—
1119C22×C4—21no—
1120C22×C4—21no—
1121C22×C4—21no—
1122C22×C4—21no—
1123C22×C4—21no—
1124C22×C4—21no—
1125C22×C4—21no—
1126C22×C4—21no—
1127C22×C4—21no—
1128C22×C4—21no—
1129C22×C4—21no—
1130C22×C4—21no—
1131C22×C4—21no—
1132C22×C4—21no—
1133C22×C4—21no—
1134C22×C4—21no—
1135C22×C4—21no—
1136C22×C4—21no—
1137C22×C4—21no—
1138C22×C4—21no—
1139C22×C4—21no—
1140C22×C4—21no—
1141C22×C4—21no—
1142C22×C4—21no—
1143C22×C4—21no—
1144C22×C4—21no—
1145C22×C4—21no—
1146C22×C4—21no—
1147C22×C4—42no—
1148C22×C4—42no—
1149C22×C4—42no—
1150C22×C4—42no—
1151C22×C4—42no—
1152C22×C4—81no—
1153C22×C4—81no—
1154C22×C4—81no—
1155C22×C4—81no—
1156C22×C4—81no—
1157C22×C4—81no—
1158C22×C4C22×D411yescharacteristic
1159C22×C4C22×D411yescharacteristic
1160C22×C4C22×D411yescharacteristic
1161C22×C4C22×D411yescharacteristic
1162C22×C4C22×D411yescharacteristic
1163C22×C4C22×D411yescharacteristic
1164C22×C4C22×D411yescharacteristic
1165C22×C4C22×D411yescharacteristic
1166C22×C4C22×D411yescharacteristic
1167C22×C4C22×D411yescharacteristic
1168C22×C4C2511yescharacteristic
1169SD16—44no—
1170SD16—44no—
1171SD16—44no—
1172SD16—44no—
1173SD16—82no—
1174SD16—82no—
1175SD16—82no—
1176SD16—82no—
1177D8—44no—
1178D8—44no—
1179D8—82no—
1180D8—82no—
1181M16—44no—
1182C2×C8—21no—
1183C2×C8—21no—
1184C2×C8—21no—
1185C2×C8—21no—
1186C2×C8—21no—
1187C2×C8—21no—
1188C2×C8—21no—
1189C2×C8—21no—
1190C2×C8—21no—
1191C2×C8—21no—
1192C2×C8—21no—
1193C2×C8—21no—
1194C2×C8—21no—
1195C2×C8—21no—
1196C2×C8—21no—
1197C2×C8—21no—
1198C2×C8—21no—
1199C2×C8—21no—
1200C2×C8—21no—
1201C2×C8—21no—
1202C2×C8—21no—
1203C2×C8—21no—
1204C2×C8—21no—
1205C2×C8—21no—
1206C4⋊C4—21no—
1207C4⋊C4—21no—
1208C4⋊C4—21no—
1209C4⋊C4—21no—
1210C4⋊C4—21no—
1211C4⋊C4—21no—
1212C4⋊C4—21no—
1213C4⋊C4—21no—
1214C4⋊C4—21no—
1215C4⋊C4—21no—
1216C4⋊C4—21no—
1217C4⋊C4—21no—
1218C4⋊C4—21no—
1219C4⋊C4—21no—
1220C4⋊C4—21no—
1221C4⋊C4—21no—
1222C4⋊C4—41no—
1223C4⋊C4—41no—
1224C4⋊C4—41no—
1225C4⋊C4—42no—
1226C4⋊C4—42no—
1227C4⋊C4—42no—
1228C4⋊C4—42no—
1229C4⋊C4—42no—
1230C4⋊C4—42no—
1231C4⋊C4—81no—
1232C4⋊C4—81no—
1233C4⋊C4—81no—
1234C4⋊C4—81no—
1235C4⋊C4—81no—
1236C4⋊C4—81no—
1237C4⋊C4—81no—
1238C4⋊C4—81no—
1239C4⋊C4H(5,𝔽2)12yes—
1240C4⋊C4H(5,𝔽2)12yes—
1241C22⋊C4—24no—
1242C22⋊C4—24no—
1243C22⋊C4—22no—
1244C22⋊C4—22no—
1245C22⋊C4—41no—
1246C22⋊C4—41no—
1247C22⋊C4—41no—
1248C22⋊C4—41no—
1249C22⋊C4—41no—
1250C22⋊C4—41no—
1251C22⋊C4—41no—
1252C22⋊C4—41no—
1253C22⋊C4—41no—
1254C22⋊C4—41no—
1255C22⋊C4—42no—
1256C22⋊C4—42no—
1257C22⋊C4—42no—
1258C22⋊C4—42no—
1259C22⋊C4—42no—
1260C22⋊C4—42no—
1261C22⋊C4—42no—
1262C22⋊C4—42no—
1263C22⋊C4—42no—
1264C22⋊C4—42no—
1265C22⋊C4—42no—
1266C22⋊C4—42no—
1267C22⋊C4—42no—
1268C22⋊C4—42no—
1269C22⋊C4—42no—
1270C22⋊C4—42no—
1271C22⋊C4—42no—
1272C22⋊C4—42no—
1273C22⋊C4—42no—
1274C22⋊C4—42no—
1275C22⋊C4—42no—
1276C22⋊C4—42no—
1277C22⋊C4—42no—
1278C22⋊C4—42no—
1279C22⋊C4—42no—
1280C22⋊C4—42no—
1281C22⋊C4—81no—
1282C22⋊C4—81no—
1283C22⋊C4—81no—
1284C22⋊C4—81no—
1285C22⋊C4—81no—
1286C22⋊C4—81no—
1287C22⋊C4—81no—
1288C22⋊C4—81no—
1289C22⋊C4—81no—
1290C22⋊C4—81no—
1291C22⋊C4—81no—
1292C22⋊C4—81no—
1293C22⋊C4—81no—
1294C22⋊C4—81no—
1295C22⋊C4—81no—
1296C42—21no—
1297C42—21no—
1298C42—21no—
1299C42—21no—
1300C42—21no—
1301C42—21no—
1302C42—42no—
1303C42—42no—
1304C42—42no—
1305C42—42no—
1306C42—81no—
1307C42—81no—
1308C42—81no—
1309C23—21no—
1310C23—21no—
1311C23—21no—
1312C23—21no—
1313C23—21no—
1314C23—21no—
1315C23—21no—
1316C23—21no—
1317C23—21no—
1318C23—21no—
1319C23—21no—
1320C23—21no—
1321C23—22no—
1322C23—22no—
1323C23—21no—
1324C23—21no—
1325C23—21no—
1326C23—21no—
1327C23—21no—
1328C23—21no—
1329C23—21no—
1330C23—21no—
1331C23—21no—
1332C23—21no—
1333C23—21no—
1334C23—21no—
1335C23—21no—
1336C23—21no—
1337C23—21no—
1338C23—21no—
1339C23—41no—
1340C23—41no—
1341C23—41no—
1342C23—41no—
1343C23—41no—
1344C23—41no—
1345C23—41no—
1346C23—41no—
1347C23—41no—
1348C23—41no—
1349C23—41no—
1350C23—41no—
1351C23—41no—
1352C23—41no—
1353C23—41no—
1354C23—41no—
1355C23—41no—
1356C23—41no—
1357C23—41no—
1358C23—41no—
1359C23—41no—
1360C23—41no—
1361C23—41no—
1362C23—41no—
1363C23—41no—
1364C23—41no—
1365C23—41no—
1366C23—41no—
1367C23—41no—
1368C23—41no—
1369C23—41no—
1370C23—41no—
1371C23—41no—
1372C23—84no—
1373C23—84no—
1374C23—84no—
1375C23—84no—
1376C23—84no—
1377C23—84no—
1378C23—84no—
1379C23—162no—
1380C23—162no—
1381C23—162no—
1382C23—162no—
1383C23—162no—
1384C23—162no—
1385C23—162no—
1386C23—162no—
1387C23—162no—
1388C23—162no—
1389C23—162no—
1390C23—162no—
1391C23—162no—
1392C23—162no—
1393C23C23×D411yescharacteristic
1394Q8—22no—
1395Q8—22no—
1396Q8—22no—
1397Q8—22no—
1398Q8—41no—
1399Q8—41no—
1400Q8—41no—
1401Q8—41no—
1402Q8—84no—
1403Q8—82no—
1404D4—22no—
1405D4—22no—
1406D4—22no—
1407D4—22no—
1408D4—44no—
1409D4—44no—
1410D4—41no—
1411D4—41no—
1412D4—41no—
1413D4—41no—
1414D4—41no—
1415D4—41no—
1416D4—41no—
1417D4—41no—
1418D4—41no—
1419D4—41no—
1420D4—41no—
1421D4—41no—
1422D4—41no—
1423D4—41no—
1424D4—41no—
1425D4—41no—
1426D4—84no—
1427D4—84no—
1428D4—84no—
1429D4—82no—
1430D4—84no—
1431D4—82no—
1432D4—82no—
1433D4—82no—
1434D4—84no—
1435D4—84no—
1436D4—84no—
1437D4—84no—
1438D4—84no—
1439D4—84no—
1440D4—84no—
1441D4—162no—
1442D4—162no—
1443D4—162no—
1444D4—162no—
1445D4—162no—
1446D4—162no—
1447D4—162no—
1448D4—162no—
1449D4—162no—
1450D4—162no—
1451D4—162no—
1452D4—162no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—22no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—41no—
1487C2×C4—41no—
1488C2×C4—41no—
1489C2×C4—41no—
1490C2×C4—41no—
1491C2×C4—41no—
1492C2×C4—41no—
1493C2×C4—41no—
1494C2×C4—41no—
1495C2×C4—41no—
1496C2×C4—41no—
1497C2×C4—41no—
1498C2×C4—41no—
1499C2×C4—41no—
1500C2×C4—41no—
1501C2×C4—41no—
1502C2×C4—41no—
1503C2×C4—41no—
1504C2×C4—41no—
1505C2×C4—41no—
1506C2×C4—41no—
1507C2×C4—41no—
1508C2×C4—41no—
1509C2×C4—41no—
1510C2×C4—41no—
1511C2×C4—41no—
1512C2×C4—41no—
1513C2×C4—41no—
1514C2×C4—41no—
1515C2×C4—41no—
1516C2×C4—41no—
1517C2×C4—41no—
1518C2×C4—41no—
1519C2×C4—41no—
1520C2×C4—41no—
1521C2×C4—41no—
1522C2×C4—41no—
1523C2×C4—41no—
1524C2×C4—41no—
1525C2×C4—41no—
1526C2×C4—41no—
1527C2×C4—41no—
1528C2×C4—41no—
1529C2×C4—41no—
1530C2×C4—41no—
1531C2×C4—84no—
1532C2×C4—84no—
1533C2×C4—84no—
1534C2×C4—84no—
1535C2×C4#57712yes—
1536C2×C4C2×H(5,𝔽2)11yescharacteristic
1537C2×C4C2×H(5,𝔽2)11yescharacteristic
1538C2×C4C2×H(5,𝔽2)11yescharacteristic
1539C2×C4C2×H(5,𝔽2)11yescharacteristic
1540C2×C4C2×H(5,𝔽2)11yescharacteristic
1541C2×C4C2×H(5,𝔽2)11yescharacteristic
1542C8—41no—
1543C8—41no—
1544C8—41no—
1545C8—41no—
1546C8—41no—
1547C8—41no—
1548C8—41no—
1549C8—41no—
1550C22—41no—
1551C22—41no—
1552C22—42no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—42no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—42no—
1565C22—42no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—42no—
1574C22—41no—
1575C22—41no—
1576C22—41no—
1577C22—41no—
1578C22—41no—
1579C22—41no—
1580C22—41no—
1581C22—42no—
1582C22—41no—
1583C22—41no—
1584C22—81no—
1585C22—81no—
1586C22—81no—
1587C22—81no—
1588C22—81no—
1589C22—81no—
1590C22—81no—
1591C22—81no—
1592C22—81no—
1593C22—81no—
1594C22—81no—
1595C22—81no—
1596C22—81no—
1597C22—81no—
1598C22—81no—
1599C22—81no—
1600C22—81no—
1601C22—81no—
1602C22—81no—
1603C22—81no—
1604C22—81no—
1605C22—81no—
1606C22—81no—
1607C22—81no—
1608C22—81no—
1609C22—81no—
1610C22—81no—
1611C22—81no—
1612C22—81no—
1613C22—168no—
1614C22—168no—
1615C22—168no—
1616C22#348411yescharacteristic
1617C22#348411yescharacteristic
1618C22#348411yescharacteristic
1619C22C2×#57711yescharacteristic
1620C22#358511yescharacteristic
1621C22#358511yescharacteristic
1622C22#358511yescharacteristic
1623C4—22no—
1624C4—42no—
1625C4—41no—
1626C4—42no—
1627C4—41no—
1628C4—41no—
1629C4—41no—
1630C4—41no—
1631C4—42no—
1632C4—42no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—81no—
1638C4—81no—
1639C4—81no—
1640C4—81no—
1641C4—81no—
1642C4—81no—
1643C4—81no—
1644C4#353211yescharacteristic
1645C4#353711yescharacteristic
1646C4#353711yescharacteristic
1647C4#354311yescharacteristic
1648C2—81no—
1649C2—81no—
1650C2—81no—
1651C2—81no—
1652C2—82no—
1653C2—82no—
1654C2—161no—
1655C2—161no—
1656C2—161no—
1657C2#4782711yescharacteristic
1658C2#6161011yescharacteristic
1659C2#6164411yescharacteristic
1660C2#6165111yescharacteristic
1661C2#6167511yescharacteristic
1662C2#6168211yescharacteristic
1663C2#6168911yescharacteristic
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. #44870C2semidirect
2. #42796C2semidirect
3. #32045C2semidirect
4. #31850C2semidirect
5. #31835C2semidirect
6. #31676C2semidirect
7. #31409C2semidirect
8. #31403C2semidirect
9. #31046C2semidirect
10. #31030C2semidirect
11. #31004C2semidirect
12. #30988C2semidirect
13. #30472C2semidirect
14. #30472C2semidirect
15. #29602C2semidirect
16. #29602C2semidirect
17. #26687C2semidirect
18. #26686C2semidirect
19. #26643C2semidirect
20. #26626C2semidirect
21. #25768C2semidirect
22. #25165C2semidirect
23. #25153C2semidirect
24. #24252C2semidirect
25. #24240C2semidirect
26. #23926C2semidirect
27. #23926C2semidirect
28. #23866C2semidirect
29. #23860C2semidirect
30. #23860C2semidirect
31. #23313C2semidirect
33. C2×#548C22semidirect
36. C2×#536C22semidirect
39. C2×#496C22semidirect
40. C2×#482C22semidirect
41. C2×#482C22semidirect
44. C2×#460C22semidirect
45. C2×#449C22semidirect
46. C2×#449C22semidirect
47. C2×#448C22semidirect
48. C2×#448C22semidirect
49. C2×#448C22semidirect
50. C2×#448C22semidirect
52. C2×#450C22semidirect
53. C2×#450C22semidirect
54. C2×#450C22semidirect
55. C2×#450C22semidirect
56. C2×#447C22semidirect
57. C2×#447C22semidirect
58. C2×#440C22semidirect
59. C2×C4×SD16C22semidirect
71. #2615C22semidirect
75. #2538C22semidirect
76. #2536C22semidirect
77. #2500C22semidirect
78. #2485C22semidirect
85. #2426C22semidirect
86. #2426C22semidirect
87. #2423C22semidirect
88. #2421C22semidirect
92. #2407C22semidirect
93. #2407C22semidirect
98. Q8×C22⋊C4C22semidirect
99. #2101C22semidirect
100. #2100C22semidirect
101. #2077C22semidirect
102. #2075C22semidirect
103. #2073C22semidirect
104. #2071C22semidirect
105. #2068C22semidirect
106. #2067C22semidirect
107. #2066C22semidirect
108. #2065C22semidirect
109. #2054C22semidirect
110. #2054C22semidirect
111. #2041C22semidirect
112. #2041C22semidirect
114. #2034C22semidirect
115. #2034C22semidirect
116. #2034C22semidirect
117. #2034C22semidirect
119. #2033C22semidirect
120. #2033C22semidirect
121. #2033C22semidirect
122. #2033C22semidirect
125. #2012C22semidirect
126. #2012C22semidirect
133. #2000C22semidirect
134. #2000C22semidirect
135. #2000C22semidirect
136. #2000C22semidirect
137. #2000C22semidirect
138. #2000C22semidirect
141. #1999C22semidirect
142. #1999C22semidirect
143. #1999C22semidirect
144. #1999C22semidirect
145. #1999C22semidirect
146. #1999C22semidirect
147. #1983C22semidirect
148. #1973C22semidirect
149. #1968C22semidirect
152. #1955C22semidirect
153. #1955C22semidirect
154. #1954C22semidirect
155. #1936C22semidirect
156. #1936C22semidirect
157. #1936C22semidirect
158. #1934C22semidirect
159. #1924C22semidirect
160. #1924C22semidirect
161. #1924C22semidirect
162. #1924C22semidirect
163. #1923C22semidirect
164. #1923C22semidirect
165. #1920C22semidirect
166. #1918C22semidirect
167. #1895C22semidirect
168. #1895C22semidirect
169. #1894C22semidirect
170. #1880C22semidirect
171. #1880C22semidirect
172. #1880C22semidirect
173. #1880C22semidirect
174. #1879C22semidirect
175. #1879C22semidirect
176. #1877C22semidirect
177. #1877C22semidirect
178. #1875C22semidirect
179. #1875C22semidirect
180. #1875C22semidirect
181. #1875C22semidirect
182. #1873C22semidirect
183. #1873C22semidirect
184. #1873C22semidirect
185. #1873C22semidirect
186. #1870C22semidirect
187. #1870C22semidirect
188. #1870C22semidirect
189. #1865C22semidirect
190. #1863C22semidirect
191. #1825C22semidirect
192. #1825C22semidirect
193. #1804C22semidirect
194. #1802C22semidirect
195. #1788C22semidirect
198. #1786C22semidirect
199. #1786C22semidirect
200. #1780C22semidirect
201. #1780C22semidirect
202. #1763C22semidirect

Maximal subgroups

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

subgroupindex
#448702
#427962
#320452
#318502
#318352
#316762
#314092
#314032
#310462
#310302
#310042
#309882
#304722
#296022
#266872
#266862
#266432
#266262
#257682
#251652
#251532
#242522
#242402
#239262
#238662
#238602
#233132