Finite Group Databasebeta

← #7361519

Subgroups — #7361519

Order 512.

2163 conjugacy classes of subgroups.

The subgroup lattice has 1692 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#44868C211yesmaximal, characteristic, complemented
2#42963C211yesmaximal, characteristic, complemented
3#31728C211yesmaximal, characteristic, complemented
4#31721C211yesmaximal, characteristic, complemented
5#31064C211yesmaximal, characteristic, complemented
6#30730C211yesmaximal, characteristic, complemented
7#30719C211yesmaximal, characteristic, complemented
8#30544C211yesmaximal, characteristic, complemented
9#30535C211yesmaximal, characteristic, complemented
10#30511C211yesmaximal, characteristic, complemented
11#30468C211yesmaximal, characteristic, complemented
12#30460C211yesmaximal, characteristic, complemented
13#30447C211yesmaximal, characteristic, complemented
14#30444C211yesmaximal, characteristic, complemented
15#29606C211yesmaximal, characteristic, complemented
16#29602C211yesmaximal, characteristic, complemented
17#27414C211yesmaximal, characteristic, complemented
18#27398C211yesmaximal, characteristic, complemented
19#26954C211yesmaximal, characteristic, complemented
20#26943C211yesmaximal, characteristic, complemented
21#26744C211yesmaximal, characteristic, complemented
22#26720C211yesmaximal, characteristic, complemented
23#25770C211yesmaximal, characteristic, complemented
24#25757C211yesmaximal, characteristic, complemented
25#25578C211yesmaximal, characteristic, complemented
26#24450C211yesmaximal, characteristic, complemented
27#24440C211yesmaximal, characteristic, complemented
28#23976C211yesmaximal, characteristic, complemented
29#23925C211yesmaximal, characteristic, complemented
30#23924C211yesmaximal, characteristic, complemented
31#23313C211yesmaximal, characteristic, complemented
32C2×#555C2211yescharacteristic, complemented
33C2×#546C2211yescharacteristic, complemented
34C2×D42C2211yescharacteristic, complemented
35C2×#537C2211yescharacteristic
36C2×#535C2211yescharacteristic
37C2×#535C2211yescharacteristic, complemented
38C2×#496C2211yescharacteristic
39C2×#493C2211yescharacteristic
40C2×#489C2211yescharacteristic, complemented
41C2×#481C2211yescharacteristic, complemented
42C2×#482C2211yescharacteristic, complemented
43C2×#469C2211yescharacteristic
44C2×#468C2211yescharacteristic, complemented
45C2×#463C2211yescharacteristic, complemented
46C2×#459C2211yescharacteristic
47C2×#459C2211yescharacteristic, complemented
48C2×#449C2211yescharacteristic, complemented
49C2×#449C2211yescharacteristic, complemented
50C2×#449C2211yescharacteristic, complemented
51C2×#450C2211yescharacteristic, complemented
52C2×#447C2211yescharacteristic
53C2×#447C2211yescharacteristic
54C2×#447C2211yescharacteristic
55C2×#447C2211yescharacteristic
56C2×#447C2211yescharacteristic
57C2×#447C2211yescharacteristic, complemented
58C2×#447C2211yescharacteristic, complemented
59C2×#447C2211yescharacteristic, complemented
60C2×#447C2211yescharacteristic, complemented
61C2×#418C2211yescharacteristic, complemented
62#2819—21no—
63#2678—21no—
64#2672—21no—
65#2670—21no—
66#2670—21no—
67#2669—21no—
68#2669—21no—
69#2669—21no—
70#2668—21no—
71#2657—21no—
72#2619—21no—
73#2615C2211yescharacteristic, complemented
74#2610—21no—
75#2541C2211yescharacteristic
76#2541C2211yescharacteristic, complemented
77#2540C2211yescharacteristic
78#2491C2211yescharacteristic, complemented
79#2491C2211yescharacteristic, complemented
80#2472—21no—
81#2435C2211yescharacteristic, complemented
82#2433C2211yescharacteristic, complemented
83#2431C2211yescharacteristic, complemented
84#2428—21no—
85#2428C2211yescharacteristic
86#2428C2211yescharacteristic, complemented
87#2428C2211yescharacteristic, complemented
88#2427C2211yescharacteristic
89#2416C2211yescharacteristic, complemented
90#2415C2211yescharacteristic, complemented
91#2414C2211yescharacteristic
92#2414C2211yescharacteristic, complemented
93#2410—21no—
94#2408—21no—
95#2408C2211yescharacteristic
96#2408C2211yescharacteristic, complemented
97#2388C2211yescharacteristic
98#2363C2211yescharacteristic, complemented
99#2361C2211yescharacteristic, complemented
100#2346C2211yescharacteristic, complemented
101#2088C2211yescharacteristic, complemented
102#2088C2211yescharacteristic, complemented
103#2055C2211yescharacteristic, complemented
104#2054C2211yescharacteristic
105#2054C2211yescharacteristic, complemented
106#2054C2211yescharacteristic, complemented
107#2042C2211yescharacteristic, complemented
108#2041C2211yescharacteristic, complemented
109#2041C2211yescharacteristic, complemented
110#2041C2211yescharacteristic, complemented
111#2035C2211yescharacteristic, complemented
112#2035C2211yescharacteristic, complemented
113#2034C2211yescharacteristic
114#2034C2211yescharacteristic, complemented
115#2034C2211yescharacteristic, complemented
116#2034C2211yescharacteristic, complemented
117#2034C2211yescharacteristic, complemented
118#2034C2211yescharacteristic, complemented
119#2033C2211yescharacteristic, complemented
120#2033C2211yescharacteristic, complemented
121#2023C2211yescharacteristic, complemented
122#2023C2211yescharacteristic, complemented
123#2014C2211yescharacteristic, complemented
124#2012C2211yescharacteristic
125#2012C2211yescharacteristic, complemented
126#2012C2211yescharacteristic, complemented
127#2011C2211yescharacteristic
128#2011C2211yescharacteristic, complemented
129#2000C2211yescharacteristic, complemented
130#2000C2211yescharacteristic, complemented
131#2000C2211yescharacteristic, complemented
132#2000C2211yescharacteristic, complemented
133#2000C2211yescharacteristic, complemented
134#2000C2211yescharacteristic, complemented
135#1999C2211yescharacteristic
136#1999C2211yescharacteristic
137#1999C2211yescharacteristic
138#1999C2211yescharacteristic
139#1999C2211yescharacteristic
140#1999C2211yescharacteristic
141#1999C2211yescharacteristic, complemented
142#1999C2211yescharacteristic, complemented
143#1999C2211yescharacteristic, complemented
144#1999C2211yescharacteristic, complemented
145#1999C2211yescharacteristic, complemented
146#1999C2211yescharacteristic, complemented
147#1999C2211yescharacteristic, complemented
148#1999C2211yescharacteristic, complemented
149#1988C2211yescharacteristic, complemented
150#1983C2211yescharacteristic, complemented
151#1982C2211yescharacteristic, complemented
152#1972C2211yescharacteristic
153#1972C2211yescharacteristic, complemented
154#1955C2211yescharacteristic, complemented
155#1955C2211yescharacteristic, complemented
156#1954C2211yescharacteristic, complemented
157#1936C2211yescharacteristic, complemented
158#1936C2211yescharacteristic, complemented
159#1934C2211yescharacteristic, complemented
160#1933C2211yescharacteristic, complemented
161#1927C2211yescharacteristic, complemented
162#1926C2211yescharacteristic, complemented
163#1926C2211yescharacteristic, complemented
164#1925C2211yescharacteristic, complemented
165#1924C2211yescharacteristic, complemented
166#1924C2211yescharacteristic, complemented
167#1924C2211yescharacteristic, complemented
168#1924C2211yescharacteristic, complemented
169#1923C2211yescharacteristic, complemented
170#1923C2211yescharacteristic, complemented
171#1919C2211yescharacteristic, complemented
172#1918C2211yescharacteristic, complemented
173#1895C2211yescharacteristic, complemented
174#1879C2211yescharacteristic
175#1879C2211yescharacteristic, complemented
176#1879C2211yescharacteristic, complemented
177#1879C2211yescharacteristic, complemented
178#1875C2211yescharacteristic
179#1875C2211yescharacteristic, complemented
180#1875C2211yescharacteristic, complemented
181#1875C2211yescharacteristic, complemented
182#1875C2211yescharacteristic, complemented
183#1875C2211yescharacteristic, complemented
184#1874C2211yescharacteristic, complemented
185#1874C2211yescharacteristic, complemented
186#1873C2211yescharacteristic, complemented
187#1873C2211yescharacteristic, complemented
188#1870C2211yescharacteristic, complemented
189#1870C2211yescharacteristic, complemented
190#1870C2211yescharacteristic, complemented
191#1864C2211yescharacteristic, complemented
192#1862C2211yescharacteristic, complemented
193#1825C2211yescharacteristic, complemented
194#1825C2211yescharacteristic, complemented
195#1823C2211yescharacteristic, complemented
196#1788C2211yescharacteristic, complemented
197#1786C2211yescharacteristic, complemented
198#1780C2211yescharacteristic, complemented
199#1780C2211yescharacteristic, complemented
200#1762C2211yescharacteristic, complemented
201#1762C2211yescharacteristic, complemented
202C4×#102C2211yescharacteristic, complemented
203C22×#41C2311yescharacteristic
204C22×#41C2311yescharacteristic
205C23×D4—21no—
206C23×D4C2311yescharacteristic
207C23×D4C2311yescharacteristic
208C23×D4C2311yescharacteristic
209C22×SD16C2311yescharacteristic
210C22×SD16C2311yescharacteristic
211C22×SD16C2311yescharacteristic
212C22×D8C2311yescharacteristic
213C22×D8C2311yescharacteristic
214C22×D8C2311yescharacteristic
215C22×D8C2311yescharacteristic
216C22×D8C2311yescharacteristic
217C22×D8C2311yescharacteristic
218C22×D8C2311yescharacteristic
219C22×D8C2311yescharacteristic
220C22×D8C2311yescharacteristic
221C22×M16C2311yescharacteristic
222#555—42no—
223#555—42no—
224#546—42no—
225#546—42no—
226D42—42no—
227D42—42no—
228#537—42no—
229#537—42no—
230#535—42no—
231#535—42no—
232#535—42no—
233#535—42no—
234C2×C4⋊Q8C2311yescharacteristic
235C2×#127—21no—
236C2×#127—21no—
237C2×#127—21no—
238C2×#127—21no—
239C2×#127C2311yescharacteristic
240C2×#127C2311yescharacteristic
241C2×#127C2311yescharacteristic
242C2×#124—21no—
243C2×#124—21no—
244C2×#124—21no—
245C2×#124—21no—
246C2×#124—21no—
247C2×#124—21no—
248C2×#124C2311yescharacteristic
249C2×#124C2311yescharacteristic
250C2×#123—21no—
251C2×C22⋊Q8—21no—
252C2×C22⋊Q8C2311yescharacteristic
253C2×C22⋊Q8C2311yescharacteristic
254C2×C22⋊Q8C2311yescharacteristic
255C2×#121—21no—
256C2×#121—21no—
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×#121C2311yescharacteristic
266C2×#121C2311yescharacteristic
267C2×#121C2311yescharacteristic
268C2×#121C2311yescharacteristic
269C2×#121C2311yescharacteristic
270C2×#121C2311yescharacteristic
271C2×#121C2311yescharacteristic
272C2×#121C2311yescharacteristic
273C2×#121C2311yescharacteristic
274C2×#121C2311yescharacteristic
275C2×#121C2311yescharacteristic
276C2×#121C2311yescharacteristic
277C2×#121C2311yescharacteristic
278C2×#121C2311yescharacteristic
279C2×#121C2311yescharacteristic
280C2×#121C2311yescharacteristic
281C2×#121C2311yescharacteristic
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×#120—21no—
291C2×#120—21no—
292C2×#120—21no—
293C2×C4×D4—21no—
294C2×C4×D4C2311yescharacteristic
295C2×C4×D4C2311yescharacteristic
296C2×C4×D4C2311yescharacteristic
297C2×C4×D4C2311yescharacteristic
298C2×C4×D4C2311yescharacteristic
299C2×C4×D4C2311yescharacteristic
300C2×#117—21no—
301C2×#117C2311yescharacteristic
302C2×#117C2311yescharacteristic
303C2×#117C2311yescharacteristic
304C22×C4⋊C4C2311yescharacteristic
305C22×C22⋊C4—21no—
306#496—42no—
307#493—42no—
308#489—42no—
309#482—42no—
310#481—42no—
311#469—42no—
312#468—42no—
313#463—42no—
314#459—42no—
315#459—42no—
316#450—42no—
317#449—42no—
318#449—42no—
319#449—42no—
320#447—42no—
321#447—42no—
322#447—42no—
323#447—42no—
324#447—42no—
325#447—42no—
326#447—42no—
327#447—42no—
328#447—42no—
329C2×#107C2311yescharacteristic
330C2×#106C2311yescharacteristic
331C2×#106C2311yescharacteristic
332C2×#106C2311yescharacteristic
333C2×C4⋊C8C2311yescharacteristic
334C2×C4⋊C8C2311yescharacteristic
335C2×C4⋊C8C2311yescharacteristic
336#418—42no—
337C2×#103C2311yescharacteristic
338C2×#103C2311yescharacteristic
339C2×#103C2311yescharacteristic
340C2×#103C2311yescharacteristic
341C2×#103C2311yescharacteristic
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×#102C2311yescharacteristic
363C2×#102C2311yescharacteristic
364C2×#102C2311yescharacteristic
365C2×#102C2311yescharacteristic
366C2×#102C2311yescharacteristic
367C2×#102C2311yescharacteristic
368C2×#102C2311yescharacteristic
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×C22⋊C8C2311yescharacteristic
378C2×C22⋊C8C2311yescharacteristic
379C2×C22⋊C8C2311yescharacteristic
380C2×C22⋊C8C2311yescharacteristic
381C2×C22⋊C8C2311yescharacteristic
382C2×C22⋊C8C2311yescharacteristic
383C2×C22⋊C8C2311yescharacteristic
384C2×#97C2311yescharacteristic
385C2×#97C2311yescharacteristic
386C2×C4×C8C2311yescharacteristic
387#399—21no—
388#397—21no—
389#397—21no—
390#396—21no—
391#395D411yescharacteristic
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#394—21no—
405#394—21no—
406#394D411yescharacteristic
407#394D411yescharacteristic
408#394D411yescharacteristic
409#393—21no—
410#393—21no—
411#393—21no—
412#393D411yescharacteristic
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#392—21no—
426#392—21no—
427#392—21no—
428#392—21no—
429#392—21no—
430#392—21no—
431#392—21no—
432#392D411yescharacteristic
433#392D411yescharacteristic
434#392D411yescharacteristic
435#391C2311yescharacteristic
436#390—21no—
437#390—21no—
438#390—21no—
439#390—21no—
440#390—21no—
441#390—21no—
442#390—21no—
443#390C2311yescharacteristic
444#390C2311yescharacteristic
445#390C2311yescharacteristic
446#390C2311yescharacteristic
447#390C2311yescharacteristic
448#390C2311yescharacteristic
449#390C2311yescharacteristic
450#389—21no—
451#389C2311yescharacteristic
452#389C2311yescharacteristic
453#389C2311yescharacteristic
454#389C2311yescharacteristic
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#386—21no—
465#386—21no—
466#386—21no—
467#386—21no—
468#386—21no—
469#386—21no—
470#386—21no—
471#386—21no—
472#386—21no—
473#385—21no—
474#382—21no—
475#380—21no—
476#380C2311yescharacteristic
477#380C2311yescharacteristic
478#380C2311yescharacteristic
479#380C2311yescharacteristic
480#379—21no—
481#379—21no—
482#379—21no—
483#379—21no—
484C4×C4⋊C4C2311yescharacteristic
485C4×C4⋊C4C2311yescharacteristic
486C4×C4⋊C4C2311yescharacteristic
487C4×C22⋊C4—21no—
488C4×C22⋊C4C2311yescharacteristic
489C4×C22⋊C4C2311yescharacteristic
490C4×C22⋊C4C2311yescharacteristic
491#376—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—
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—21no—
530C22×Q8C2×D411yescharacteristic
531C22×Q8C2411yescharacteristic
532C22×D4—21no—
533C22×D4—21no—
534C22×D4—22no—
535C22×D4—22no—
536C22×D4—22no—
537C22×D4—21no—
538C22×D4—21no—
539C22×D4—21no—
540C22×D4—21no—
541C22×D4—21no—
542C22×D4—21no—
543C22×D4—21no—
544C22×D4—21no—
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—41no—
563C22×D4—41no—
564C22×D4—41no—
565C22×D4—41no—
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—44no—
578C22×D4—82no—
579C22×D4—82no—
580C22×D4C2×D411yescharacteristic
581C22×D4C2×D411yescharacteristic
582C22×D4C2×D411yescharacteristic
583C22×D4C2×D411yescharacteristic
584C22×D4C2×D411yescharacteristic
585C22×D4C2×D411yescharacteristic
586C22×D4C2411yescharacteristic
587C22×D4C2411yescharacteristic
588C22×D4C2411yescharacteristic
589C22×D4C2411yescharacteristic
590C22×D4C2411yescharacteristic
591C22×D4C2411yescharacteristic
592C23×C4—21no—
593C23×C4—21no—
594C23×C4—21no—
595C23×C4—21no—
596C23×C4—21no—
597C23×C4C2411yescharacteristic
598C23×C4C2411yescharacteristic
599C23×C4C2411yescharacteristic
600C23×C4C2411yescharacteristic
601C2×SD16—41no—
602C2×SD16—41no—
603C2×SD16—41no—
604C2×SD16—41no—
605C2×SD16—41no—
606C2×SD16—41no—
607C2×SD16—41no—
608C2×SD16—41no—
609C2×SD16—41no—
610C2×D8—22no—
611C2×D8—22no—
612C2×D8—22no—
613C2×D8—22no—
614C2×D8—22no—
615C2×D8—22no—
616C2×D8—41no—
617C2×D8—41no—
618C2×D8—41no—
619C2×D8—41no—
620C2×D8—41no—
621C2×D8—41no—
622C2×D8—41no—
623C2×D8—41no—
624C2×D8—41no—
625C2×D8—41no—
626C2×D8—41no—
627C2×D8—41no—
628C2×D8—41no—
629C2×D8—41no—
630C2×D8—41no—
631C2×D8—41no—
632C2×D8—41no—
633C2×D8—41no—
634C2×D8—41no—
635C2×D8—41no—
636C2×D8—41no—
637C2×M16—41no—
638C2×M16—41no—
639C2×M16—41no—
640C22×C8C2411yescharacteristic
641C22×C8C2411yescharacteristic
642C22×C8C2411yescharacteristic
643C22×C8C2411yescharacteristic
644C22×C8C2411yescharacteristic
645C22×C8C2411yescharacteristic
646C22×C8C2411yescharacteristic
647C22×C8C2411yescharacteristic
648C4⋊Q8—22no—
649C4⋊Q8—41no—
650#127—22no—
651#127—41no—
652#127—41no—
653#127—41no—
654#127—41no—
655#127—41no—
656#127—44no—
657#127—44no—
658#127—82no—
659#127—82no—
660#124—22no—
661#124—41no—
662#124—44no—
663#124—44no—
664#124—41no—
665#124—41no—
666#124—44no—
667#124—44no—
668#124—82no—
669#124—82no—
670#123—44no—
671C22⋊Q8—22no—
672C22⋊Q8—22no—
673C22⋊Q8—44no—
674C22⋊Q8—41no—
675C22⋊Q8—41no—
676C22⋊Q8—41no—
677C22⋊Q8—41no—
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—22no—
688#121—22no—
689#121—22no—
690#121—22no—
691#121—44no—
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—41no—
707#121—44no—
708#121—44no—
709#121—44no—
710#121—41no—
711#121—41no—
712#121—41no—
713#121—41no—
714#121—41no—
715#121—41no—
716#121—41no—
717#121—41no—
718#121—82no—
719#121—82no—
720#121—82no—
721#121—82no—
722#120—44no—
723#120—44no—
724#120—44no—
725#120—44no—
726#120—44no—
727#120—44no—
728#120—44no—
729#120—82no—
730#120—82no—
731#120—82no—
732#120—82no—
733C4×D4—22no—
734C4×D4—22no—
735C4×D4—22no—
736C4×D4—41no—
737C4×D4—41no—
738C4×D4—41no—
739C4×D4—41no—
740C4×D4—41no—
741C4×D4—41no—
742C4×D4—41no—
743C4×D4—41no—
744C4×D4—41no—
745C4×D4—82no—
746#117—22no—
747#117—22no—
748#117—22no—
749#117—22no—
750#117—44no—
751#117—41no—
752#117—41no—
753C2×C4⋊C4—22no—
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⋊C4—41no—
764C2×C4⋊C4C2×D411yescharacteristic
765C2×C4⋊C4C2×D411yescharacteristic
766C2×C4⋊C4C2×D411yescharacteristic
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×C4⋊C4C2411yescharacteristic
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⋊C4—21no—
819C2×C22⋊C4—21no—
820C2×C22⋊C4—21no—
821C2×C22⋊C4—21no—
822C2×C22⋊C4—21no—
823C2×C22⋊C4—21no—
824C2×C22⋊C4—44no—
825C2×C22⋊C4C2×D411yescharacteristic
826C2×C22⋊C4C2×D411yescharacteristic
827C2×C22⋊C4C2×D411yescharacteristic
828C2×C22⋊C4C2×D411yescharacteristic
829C2×C22⋊C4C2×D411yescharacteristic
830C2×C22⋊C4C2×D411yescharacteristic
831C2×C22⋊C4C2×D411yescharacteristic
832C2×C22⋊C4C2×D411yescharacteristic
833C2×C22⋊C4C2×D411yescharacteristic
834C2×C22⋊C4C2×D411yescharacteristic
835C2×C22⋊C4C2×D411yescharacteristic
836C2×C22⋊C4C2×D411yescharacteristic
837C2×C42—21no—
838C2×C42—21no—
839C2×C42—21no—
840C2×C42—21no—
841C2×C42—21no—
842C2×C42—21no—
843C2×C42C2411yescharacteristic
844C2×C42C2411yescharacteristic
845C2×C42C2411yescharacteristic
846#107—22no—
847#106—22no—
848#106—41no—
849#106—41no—
850C4⋊C8—41no—
851C4⋊C8—41no—
852C4⋊C8—41no—
853#103—22no—
854#103—22no—
855#103—41no—
856#103—41no—
857#103—41no—
858#102—22no—
859#102—22no—
860#102—22no—
861#102—22no—
862#102—22no—
863#102—22no—
864#102—22no—
865#102—22no—
866#102—22no—
867#102—22no—
868#102—22no—
869#102—22no—
870#102—22no—
871#102—22no—
872#102—41no—
873#102—41no—
874#102—41no—
875#102—41no—
876#102—41no—
877#102—41no—
878#102—41no—
879#102—41no—
880#102—41no—
881#102—41no—
882#102—41no—
883#102—41no—
884#102—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—
894C22⋊C8—41no—
895C22⋊C8—41no—
896C22⋊C8—41no—
897C22⋊C8—41no—
898C22⋊C8—41no—
899C22⋊C8—41no—
900#97—41no—
901#97—41no—
902C4×C8—41no—
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#95—21no—
915#95—21no—
916#95C2×D411yescharacteristic
917#95C2×D411yescharacteristic
918#95C2×D411yescharacteristic
919#95C2×D411yescharacteristic
920#95C2×D411yescharacteristic
921#95C2×D411yescharacteristic
922C24—21no—
923C24—21no—
924C24—21no—
925C24—21no—
926C24—21no—
927C24—21no—
928C24—42no—
929C24—42no—
930C24—42no—
931C24—42no—
932C24—42no—
933C24—42no—
934C24—81no—
935C24—81no—
936C24—81no—
937C24—81no—
938C24—81no—
939C24—81no—
940C24—81no—
941C24—81no—
942C24—81no—
943C24—81no—
944C24—81no—
945C24—81no—
946C24—81no—
947C24—81no—
948C24—81no—
949C24C22×D411yescharacteristic
950C24C22×D411yescharacteristic
951C24C22×D411yescharacteristic
952C24C22×D411yescharacteristic
953#41—82no—
954#41—82no—
955#41—82no—
956#41—82no—
957#41—82no—
958#41—82no—
959#41—82no—
960#41—82no—
961C2×Q8—21no—
962C2×Q8—21no—
963C2×Q8—21no—
964C2×Q8—21no—
965C2×Q8—21no—
966C2×Q8—21no—
967C2×Q8—41no—
968C2×Q8—41no—
969C2×Q8—41no—
970C2×Q8—42no—
971C2×Q8—81no—
972C2×Q8—81no—
973C2×D4—24no—
974C2×D4—24no—
975C2×D4—22no—
976C2×D4—21no—
977C2×D4—21no—
978C2×D4—21no—
979C2×D4—21no—
980C2×D4—21no—
981C2×D4—21no—
982C2×D4—21no—
983C2×D4—21no—
984C2×D4—21no—
985C2×D4—21no—
986C2×D4—21no—
987C2×D4—21no—
988C2×D4—21no—
989C2×D4—21no—
990C2×D4—21no—
991C2×D4—21no—
992C2×D4—21no—
993C2×D4—21no—
994C2×D4—21no—
995C2×D4—21no—
996C2×D4—21no—
997C2×D4—21no—
998C2×D4—21no—
999C2×D4—21no—
1000C2×D4—21no—
1001C2×D4—21no—
1002C2×D4—21no—
1003C2×D4—21no—
1004C2×D4—21no—
1005C2×D4—21no—
1006C2×D4—21no—
1007C2×D4—21no—
1008C2×D4—21no—
1009C2×D4—21no—
1010C2×D4—41no—
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—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—42no—
1037C2×D4—42no—
1038C2×D4—42no—
1039C2×D4—42no—
1040C2×D4—42no—
1041C2×D4—42no—
1042C2×D4—44no—
1043C2×D4—42no—
1044C2×D4—42no—
1045C2×D4—42no—
1046C2×D4—42no—
1047C2×D4—42no—
1048C2×D4—42no—
1049C2×D4—42no—
1050C2×D4—42no—
1051C2×D4—42no—
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—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—82no—
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—81no—
1108C2×D4—81no—
1109C2×D4—81no—
1110C2×D4—81no—
1111C2×D4—81no—
1112C2×D4—81no—
1113C2×D4—81no—
1114C2×D4—81no—
1115C2×D4—81no—
1116C2×D4—81no—
1117C2×D4—81no—
1118C2×D4—816no—
1119C2×D4H(5,𝔽2)12yes—
1120C2×D4H(5,𝔽2)12yes—
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—21no—
1148C22×C4—21no—
1149C22×C4—21no—
1150C22×C4—21no—
1151C22×C4—21no—
1152C22×C4—21no—
1153C22×C4—21no—
1154C22×C4—21no—
1155C22×C4—42no—
1156C22×C4—42no—
1157C22×C4—42no—
1158C22×C4—42no—
1159C22×C4—42no—
1160C22×C4—42no—
1161C22×C4—42no—
1162C22×C4—42no—
1163C22×C4—81no—
1164C22×C4—81no—
1165C22×C4—81no—
1166C22×C4—81no—
1167C22×C4—81no—
1168C22×C4—81no—
1169C22×C4—81no—
1170C22×C4C22×D411yescharacteristic
1171C22×C4C22×D411yescharacteristic
1172C22×C4C22×D411yescharacteristic
1173C22×C4C22×D411yescharacteristic
1174C22×C4C22×D411yescharacteristic
1175C22×C4C22×D411yescharacteristic
1176C22×C4C22×D411yescharacteristic
1177C22×C4C22×D411yescharacteristic
1178C22×C4C22×D411yescharacteristic
1179C22×C4C22×D411yescharacteristic
1180C22×C4C2511yescharacteristic
1181SD16—82no—
1182SD16—82no—
1183SD16—82no—
1184D8—82no—
1185D8—82no—
1186D8—82no—
1187D8—82no—
1188D8—82no—
1189D8—82no—
1190D8—82no—
1191D8—82no—
1192D8—82no—
1193M16—82no—
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—
1206C2×C8—21no—
1207C2×C8—21no—
1208C2×C8—21no—
1209C2×C8—21no—
1210C2×C8—21no—
1211C2×C8—21no—
1212C2×C8—21no—
1213C2×C8—21no—
1214C2×C8—21no—
1215C2×C8—21no—
1216C2×C8—21no—
1217C2×C8—21no—
1218C4⋊C4—21no—
1219C4⋊C4—21no—
1220C4⋊C4—21no—
1221C4⋊C4—21no—
1222C4⋊C4—21no—
1223C4⋊C4—21no—
1224C4⋊C4—21no—
1225C4⋊C4—21no—
1226C4⋊C4—21no—
1227C4⋊C4—21no—
1228C4⋊C4—21no—
1229C4⋊C4—21no—
1230C4⋊C4—21no—
1231C4⋊C4—21no—
1232C4⋊C4—41no—
1233C4⋊C4—41no—
1234C4⋊C4—41no—
1235C4⋊C4—42no—
1236C4⋊C4—42no—
1237C4⋊C4—42no—
1238C4⋊C4—42no—
1239C4⋊C4—42no—
1240C4⋊C4—42no—
1241C4⋊C4—81no—
1242C4⋊C4—81no—
1243C4⋊C4—81no—
1244C4⋊C4H(5,𝔽2)12yes—
1245C4⋊C4H(5,𝔽2)12yes—
1246C4⋊C4H(5,𝔽2)12yes—
1247C4⋊C4H(5,𝔽2)12yes—
1248C22⋊C4—24no—
1249C22⋊C4—24no—
1250C22⋊C4—24no—
1251C22⋊C4—22no—
1252C22⋊C4—22no—
1253C22⋊C4—41no—
1254C22⋊C4—41no—
1255C22⋊C4—41no—
1256C22⋊C4—41no—
1257C22⋊C4—41no—
1258C22⋊C4—41no—
1259C22⋊C4—41no—
1260C22⋊C4—41no—
1261C22⋊C4—41no—
1262C22⋊C4—41no—
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—42no—
1282C22⋊C4—42no—
1283C22⋊C4—42no—
1284C22⋊C4—42no—
1285C22⋊C4—42no—
1286C22⋊C4—42no—
1287C22⋊C4—42no—
1288C22⋊C4—42no—
1289C22⋊C4—81no—
1290C22⋊C4—81no—
1291C22⋊C4—81no—
1292C22⋊C4—81no—
1293C22⋊C4—81no—
1294C22⋊C4—81no—
1295C22⋊C4—81no—
1296C22⋊C4—81no—
1297C22⋊C4—81no—
1298C22⋊C4—81no—
1299C22⋊C4—81no—
1300C22⋊C4—81no—
1301C22⋊C4—81no—
1302C22⋊C4—81no—
1303C22⋊C4—81no—
1304C22⋊C4—81no—
1305C22⋊C4—81no—
1306C22⋊C4—81no—
1307C22⋊C4—81no—
1308C42—24no—
1309C42—21no—
1310C42—21no—
1311C42—21no—
1312C42—21no—
1313C42—21no—
1314C42—21no—
1315C42—42no—
1316C42—42no—
1317C42—42no—
1318C42—42no—
1319C42—81no—
1320C23—21no—
1321C23—21no—
1322C23—21no—
1323C23—21no—
1324C23—21no—
1325C23—21no—
1326C23—21no—
1327C23—21no—
1328C23—21no—
1329C23—21no—
1330C23—21no—
1331C23—21no—
1332C23—21no—
1333C23—22no—
1334C23—22no—
1335C23—21no—
1336C23—21no—
1337C23—21no—
1338C23—21no—
1339C23—21no—
1340C23—21no—
1341C23—21no—
1342C23—21no—
1343C23—21no—
1344C23—21no—
1345C23—21no—
1346C23—21no—
1347C23—21no—
1348C23—21no—
1349C23—21no—
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—41no—
1373C23—41no—
1374C23—41no—
1375C23—41no—
1376C23—41no—
1377C23—41no—
1378C23—41no—
1379C23—41no—
1380C23—41no—
1381C23—41no—
1382C23—41no—
1383C23—41no—
1384C23—41no—
1385C23—41no—
1386C23—41no—
1387C23—41no—
1388C23—41no—
1389C23—41no—
1390C23—84no—
1391C23—84no—
1392C23—84no—
1393C23—84no—
1394C23—84no—
1395C23—84no—
1396C23—162no—
1397C23—162no—
1398C23—162no—
1399C23—162no—
1400C23—162no—
1401C23—162no—
1402C23—162no—
1403C23—162no—
1404C23—162no—
1405C23—162no—
1406C23—162no—
1407C23—162no—
1408C23—162no—
1409C23—162no—
1410C23—162no—
1411C23C23×D411yescharacteristic
1412Q8—41no—
1413Q8—41no—
1414Q8—41no—
1415Q8—41no—
1416Q8—82no—
1417Q8—162no—
1418D4—22no—
1419D4—22no—
1420D4—22no—
1421D4—22no—
1422D4—44no—
1423D4—41no—
1424D4—41no—
1425D4—41no—
1426D4—41no—
1427D4—41no—
1428D4—41no—
1429D4—41no—
1430D4—41no—
1431D4—41no—
1432D4—41no—
1433D4—41no—
1434D4—41no—
1435D4—41no—
1436D4—41no—
1437D4—41no—
1438D4—41no—
1439D4—41no—
1440D4—41no—
1441D4—41no—
1442D4—41no—
1443D4—84no—
1444D4—84no—
1445D4—84no—
1446D4—82no—
1447D4—82no—
1448D4—84no—
1449D4—82no—
1450D4—82no—
1451D4—82no—
1452D4—84no—
1453D4—84no—
1454D4—84no—
1455D4—84no—
1456D4—162no—
1457D4—162no—
1458D4—162no—
1459D4—162no—
1460D4—162no—
1461D4—162no—
1462D4—162no—
1463D4—162no—
1464D4—162no—
1465D4—162no—
1466D4—162no—
1467D4—162no—
1468D4—162no—
1469D4—162no—
1470D4—162no—
1471D4—162no—
1472D4—162no—
1473D4—162no—
1474D4—162no—
1475C2×C4—21no—
1476C2×C4—21no—
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—22no—
1487C2×C4—22no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—22no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—22no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
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—41no—
1532C2×C4—41no—
1533C2×C4—41no—
1534C2×C4—41no—
1535C2×C4—41no—
1536C2×C4—41no—
1537C2×C4—41no—
1538C2×C4—41no—
1539C2×C4—41no—
1540C2×C4—41no—
1541C2×C4—41no—
1542C2×C4—41no—
1543C2×C4—41no—
1544C2×C4—41no—
1545C2×C4—41no—
1546C2×C4—41no—
1547C2×C4—41no—
1548C2×C4—41no—
1549C2×C4—41no—
1550C2×C4—84no—
1551C2×C4—84no—
1552C2×C4—84no—
1553C2×C4—162no—
1554C2×C4—162no—
1555C2×C4#57612yes—
1556C2×C4C2×H(5,𝔽2)11yescharacteristic
1557C2×C4C2×H(5,𝔽2)11yescharacteristic
1558C2×C4C2×H(5,𝔽2)11yescharacteristic
1559C2×C4C2×H(5,𝔽2)11yescharacteristic
1560C2×C4C2×H(5,𝔽2)11yescharacteristic
1561C2×C4C2×H(5,𝔽2)11yescharacteristic
1562C8—41no—
1563C8—41no—
1564C8—41no—
1565C8—41no—
1566C8—41no—
1567C8—41no—
1568C8—41no—
1569C8—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—42no—
1575C22—42no—
1576C22—41no—
1577C22—41no—
1578C22—41no—
1579C22—42no—
1580C22—41no—
1581C22—41no—
1582C22—41no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—42no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—42no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—42no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—81no—
1605C22—81no—
1606C22—81no—
1607C22—81no—
1608C22—81no—
1609C22—81no—
1610C22—81no—
1611C22—81no—
1612C22—81no—
1613C22—81no—
1614C22—81no—
1615C22—81no—
1616C22—81no—
1617C22—81no—
1618C22—81no—
1619C22—81no—
1620C22—81no—
1621C22—81no—
1622C22—81no—
1623C22—81no—
1624C22—81no—
1625C22—81no—
1626C22—81no—
1627C22—81no—
1628C22—81no—
1629C22—81no—
1630C22—81no—
1631C22—81no—
1632C22—81no—
1633C22—81no—
1634C22—81no—
1635C22—81no—
1636C22—81no—
1637C22—81no—
1638C22—81no—
1639C22—81no—
1640C22—168no—
1641C22—168no—
1642C22—168no—
1643C22#348411yescharacteristic
1644C22#348411yescharacteristic
1645C22#348411yescharacteristic
1646C22C2×#57611yescharacteristic
1647C22#358511yescharacteristic
1648C22#358511yescharacteristic
1649C22#358511yescharacteristic
1650C4—22no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—42no—
1656C4—41no—
1657C4—41no—
1658C4—42no—
1659C4—41no—
1660C4—41no—
1661C4—42no—
1662C4—41no—
1663C4—42no—
1664C4—81no—
1665C4—81no—
1666C4—81no—
1667C4—81no—
1668C4—81no—
1669C4—81no—
1670C4#353711yescharacteristic
1671C4#354311yescharacteristic
1672C4#354311yescharacteristic
1673C4#354911yescharacteristic
1674C2—81no—
1675C2—81no—
1676C2—81no—
1677C2—81no—
1678C2—82no—
1679C2—82no—
1680C2—161no—
1681C2—161no—
1682C2—161no—
1683C2—161no—
1684C2#4954511yescharacteristic
1685C2#6160911yescharacteristic
1686C2#6165311yescharacteristic
1687C2#6165311yescharacteristic
1688C2#6167311yescharacteristic
1689C2#6167911yescharacteristic
1690C2#6168811yescharacteristic
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. #44868C2semidirect
2. #42963C2semidirect
3. #31728C2semidirect
4. #31721C2semidirect
5. #31064C2semidirect
6. #30730C2semidirect
7. #30719C2semidirect
8. #30544C2semidirect
9. #30535C2semidirect
10. #30511C2semidirect
11. #30468C2semidirect
12. #30460C2semidirect
13. #30447C2semidirect
14. #30444C2semidirect
15. #29606C2semidirect
16. #29602C2semidirect
17. #27414C2semidirect
18. #27398C2semidirect
19. #26954C2semidirect
20. #26943C2semidirect
21. #26744C2semidirect
22. #26720C2semidirect
23. #25770C2semidirect
24. #25757C2semidirect
25. #25578C2semidirect
26. #24450C2semidirect
27. #24440C2semidirect
28. #23976C2semidirect
29. #23925C2semidirect
30. #23924C2semidirect
31. #23313C2semidirect
32. C2×#555C22semidirect
33. C2×#546C22semidirect
34. C2×D42C22semidirect
37. C2×#535C22semidirect
40. C2×#489C22semidirect
41. C2×#481C22semidirect
42. C2×#482C22semidirect
44. C2×#468C22semidirect
45. C2×#463C22semidirect
47. C2×#459C22semidirect
48. C2×#449C22semidirect
49. C2×#449C22semidirect
50. C2×#449C22semidirect
51. C2×#450C22semidirect
57. C2×#447C22semidirect
58. C2×#447C22semidirect
59. C2×#447C22semidirect
60. C2×#447C22semidirect
61. C2×#418C22semidirect
73. #2615C22semidirect
76. #2541C22semidirect
78. #2491C22semidirect
79. #2491C22semidirect
81. #2435C22semidirect
82. #2433C22semidirect
83. #2431C22semidirect
86. #2428C22semidirect
87. #2428C22semidirect
89. #2416C22semidirect
90. #2415C22semidirect
92. #2414C22semidirect
96. #2408C22semidirect
98. #2363C22semidirect
99. #2361C22semidirect
100. #2346C22semidirect
101. #2088C22semidirect
102. #2088C22semidirect
103. #2055C22semidirect
105. #2054C22semidirect
106. #2054C22semidirect
107. #2042C22semidirect
108. #2041C22semidirect
109. #2041C22semidirect
110. #2041C22semidirect
111. #2035C22semidirect
112. #2035C22semidirect
114. #2034C22semidirect
115. #2034C22semidirect
116. #2034C22semidirect
117. #2034C22semidirect
118. #2034C22semidirect
119. #2033C22semidirect
120. #2033C22semidirect
121. #2023C22semidirect
122. #2023C22semidirect
123. #2014C22semidirect
125. #2012C22semidirect
126. #2012C22semidirect
128. #2011C22semidirect
129. #2000C22semidirect
130. #2000C22semidirect
131. #2000C22semidirect
132. #2000C22semidirect
133. #2000C22semidirect
134. #2000C22semidirect
141. #1999C22semidirect
142. #1999C22semidirect
143. #1999C22semidirect
144. #1999C22semidirect
145. #1999C22semidirect
146. #1999C22semidirect
147. #1999C22semidirect
148. #1999C22semidirect
149. #1988C22semidirect
150. #1983C22semidirect
151. #1982C22semidirect
153. #1972C22semidirect
154. #1955C22semidirect
155. #1955C22semidirect
156. #1954C22semidirect
157. #1936C22semidirect
158. #1936C22semidirect
159. #1934C22semidirect
160. #1933C22semidirect
161. #1927C22semidirect
162. #1926C22semidirect
163. #1926C22semidirect
164. #1925C22semidirect
165. #1924C22semidirect
166. #1924C22semidirect
167. #1924C22semidirect
168. #1924C22semidirect
169. #1923C22semidirect
170. #1923C22semidirect
171. #1919C22semidirect
172. #1918C22semidirect
173. #1895C22semidirect
175. #1879C22semidirect
176. #1879C22semidirect
177. #1879C22semidirect
179. #1875C22semidirect
180. #1875C22semidirect
181. #1875C22semidirect
182. #1875C22semidirect
183. #1875C22semidirect
184. #1874C22semidirect
185. #1874C22semidirect
186. #1873C22semidirect
187. #1873C22semidirect
188. #1870C22semidirect
189. #1870C22semidirect
190. #1870C22semidirect
191. #1864C22semidirect
192. #1862C22semidirect
193. #1825C22semidirect
194. #1825C22semidirect
195. #1823C22semidirect
196. #1788C22semidirect
197. #1786C22semidirect
198. #1780C22semidirect
199. #1780C22semidirect
200. #1762C22semidirect
201. #1762C22semidirect
202. C4×#102C22semidirect

Maximal subgroups

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

subgroupindex
#448682
#429632
#317282
#317212
#310642
#307302
#307192
#305442
#305352
#305112
#304682
#304602
#304472
#304442
#296062
#296022
#274142
#273982
#269542
#269432
#267442
#267202
#257702
#257572
#255782
#244502
#244402
#239762
#239252
#239242
#233132