Finite Group Databasebeta

← #7019937

Subgroups — #7019937

Order 512.

2123 conjugacy classes of subgroups.

The subgroup lattice has 1625 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#44887C211yesmaximal, characteristic, complemented
2#44886C211yesmaximal, characteristic, complemented
3#31865C211yesmaximal, characteristic, complemented
4#31850C211yesmaximal, characteristic, complemented
5#31728C211yesmaximal, characteristic, complemented
6#31396C211yesmaximal, characteristic, complemented
7#31026C211yesmaximal, characteristic, complemented
8#31011C211yesmaximal, characteristic, complemented
9#30701C211yesmaximal, characteristic, complemented
10#30529C211yesmaximal, characteristic, complemented
11#27273C211yesmaximal, characteristic, complemented
12#26943C211yesmaximal, characteristic, complemented
13#26737C211yesmaximal, characteristic, complemented
14#26656C211yesmaximal, characteristic, complemented
15#26640C211yesmaximal, characteristic, complemented
16#26415C211yesmaximal, characteristic, complemented
17#26209C211yesmaximal, characteristic, complemented
18#25572C211yesmaximal, characteristic, complemented
19#25116C211yesmaximal, characteristic, complemented
20#24435C211yesmaximal, characteristic, complemented
21#24354C211yesmaximal, characteristic, complemented
22#24250C211yesmaximal, characteristic, complemented
23#24013C211yesmaximal, characteristic, complemented
24#23965C211yesmaximal, characteristic, complemented
25#23924C211yesmaximal, characteristic, complemented
26#23851C211yesmaximal, characteristic, complemented
27#23387C211yesmaximal, characteristic, complemented
28#22864C211yesmaximal, characteristic, complemented
29#22424C211yesmaximal, characteristic, complemented
30#22037C211yesmaximal, characteristic, complemented
31#21772C211yesmaximal, characteristic, complemented
32C23×D8C2211yescharacteristic
33C2×#555C2211yescharacteristic, complemented
34C2×#550C2211yescharacteristic, complemented
35C2×#546C2211yescharacteristic
36C2×#537C2211yescharacteristic
37C2×#535C2211yescharacteristic
38C2×#535C2211yescharacteristic
39C2×#486C2211yescharacteristic, complemented
40C2×#481C2211yescharacteristic, complemented
41C2×#480C2211yescharacteristic, complemented
42C2×#466C2211yescharacteristic, complemented
43C2×#459C2211yescharacteristic
44C2×#459C2211yescharacteristic
45C2×#449C2211yescharacteristic
46C2×#449C2211yescharacteristic
47C2×#449C2211yescharacteristic, complemented
48C2×#449C2211yescharacteristic, complemented
49C2×#450C2211yescharacteristic
50C2×#447C2211yescharacteristic
51C2×#440C2211yescharacteristic, complemented
52C2×#435C2211yescharacteristic
53C2×#418C2211yescharacteristic
54C2×#418C2211yescharacteristic
55C2×#416C2211yescharacteristic, complemented
56C2×#408C2211yescharacteristic
57#2712—21no—
58#2684—21no—
59#2676—21no—
60#2673—21no—
61#2673—21no—
62#2670—21no—
63#2669—21no—
64#2669—21no—
65#2544—21no—
66#2541—21no—
67#2541C2211yescharacteristic, complemented
68#2535C2211yescharacteristic, complemented
69#2500C2211yescharacteristic, complemented
70#2491C2211yescharacteristic, complemented
71#2474—21no—
72#2461—21no—
73#2439C2211yescharacteristic
74#2433C2211yescharacteristic
75#2431C2211yescharacteristic, complemented
76#2428C2211yescharacteristic, complemented
77#2426C2211yescharacteristic, complemented
78#2424—21no—
79#2424—21no—
80#2424—21no—
81#2422C2211yescharacteristic, complemented
82#2416C2211yescharacteristic, complemented
83#2416C2211yescharacteristic, complemented
84#2414C2211yescharacteristic
85#2414C2211yescharacteristic, complemented
86#2411—21no—
87#2408C2211yescharacteristic
88#2407C2211yescharacteristic, complemented
89#2388C2211yescharacteristic
90#2362C2211yescharacteristic
91#2361C2211yescharacteristic, complemented
92#2361C2211yescharacteristic, complemented
93#2354C2211yescharacteristic
94D4×C22⋊C4C2211yescharacteristic
95#2311C2211yescharacteristic
96#2101C2211yescharacteristic, complemented
97#2099C2211yescharacteristic, complemented
98#2088C2211yescharacteristic, complemented
99#2077C2211yescharacteristic, complemented
100#2073C2211yescharacteristic, complemented
101#2071C2211yescharacteristic, complemented
102#2067C2211yescharacteristic, complemented
103#2066C2211yescharacteristic, complemented
104#2054C2211yescharacteristic
105#2054C2211yescharacteristic
106#2054C2211yescharacteristic, complemented
107#2041C2211yescharacteristic, complemented
108#2041C2211yescharacteristic, complemented
109#2034C2211yescharacteristic, complemented
110#2034C2211yescharacteristic, complemented
111#2034C2211yescharacteristic, complemented
112#2033C2211yescharacteristic, complemented
113#2033C2211yescharacteristic, complemented
114#2033C2211yescharacteristic, complemented
115#2024C2211yescharacteristic, complemented
116#2023C2211yescharacteristic, complemented
117#2012C2211yescharacteristic
118#2012C2211yescharacteristic
119#2011C2211yescharacteristic
120#2011C2211yescharacteristic
121#2000C2211yescharacteristic, complemented
122#2000C2211yescharacteristic, complemented
123#1999C2211yescharacteristic
124#1999C2211yescharacteristic
125#1999C2211yescharacteristic
126#1999C2211yescharacteristic
127#1999C2211yescharacteristic
128#1999C2211yescharacteristic
129#1999C2211yescharacteristic
130#1999C2211yescharacteristic
131#1999C2211yescharacteristic
132#1999C2211yescharacteristic
133#1999C2211yescharacteristic, complemented
134#1999C2211yescharacteristic, complemented
135#1999C2211yescharacteristic, complemented
136#1987C2211yescharacteristic, complemented
137#1983C2211yescharacteristic, complemented
138#1972C2211yescharacteristic, complemented
139#1968C2211yescharacteristic, complemented
140#1961C2211yescharacteristic, complemented
141#1959C2211yescharacteristic, complemented
142#1955C2211yescharacteristic, complemented
143#1954C2211yescharacteristic, complemented
144#1936C2211yescharacteristic, complemented
145#1936C2211yescharacteristic, complemented
146#1936C2211yescharacteristic, complemented
147#1934C2211yescharacteristic, complemented
148#1926C2211yescharacteristic, complemented
149#1925C2211yescharacteristic, complemented
150#1924C2211yescharacteristic, complemented
151#1924C2211yescharacteristic, complemented
152#1924C2211yescharacteristic, complemented
153#1923C2211yescharacteristic, complemented
154#1921C2211yescharacteristic, complemented
155#1918C2211yescharacteristic, complemented
156#1895C2211yescharacteristic
157#1894C2211yescharacteristic
158#1893C2211yescharacteristic
159#1893C2211yescharacteristic, complemented
160#1893C2211yescharacteristic, complemented
161#1892C2211yescharacteristic
162#1880C2211yescharacteristic, complemented
163#1879C2211yescharacteristic
164#1879C2211yescharacteristic
165#1879C2211yescharacteristic
166#1879C2211yescharacteristic
167#1877C2211yescharacteristic, complemented
168#1875C2211yescharacteristic
169#1875C2211yescharacteristic, complemented
170#1875C2211yescharacteristic, complemented
171#1875C2211yescharacteristic, complemented
172#1875C2211yescharacteristic, complemented
173#1875C2211yescharacteristic, complemented
174#1874C2211yescharacteristic, complemented
175#1874C2211yescharacteristic, complemented
176#1874C2211yescharacteristic, complemented
177#1873C2211yescharacteristic
178#1873C2211yescharacteristic, complemented
179#1872C2211yescharacteristic, complemented
180#1869C2211yescharacteristic
181#1869C2211yescharacteristic, complemented
182#1869C2211yescharacteristic, complemented
183#1864C2211yescharacteristic, complemented
184#1863C2211yescharacteristic, complemented
185#1854C2211yescharacteristic
186#1854C2211yescharacteristic
187#1850C2211yescharacteristic
188#1825C2211yescharacteristic, complemented
189#1824C2211yescharacteristic, complemented
190#1823C2211yescharacteristic, complemented
191#1805C2211yescharacteristic, complemented
192#1802C2211yescharacteristic, complemented
193#1788C2211yescharacteristic, complemented
194#1788C2211yescharacteristic, complemented
195#1788C2211yescharacteristic, complemented
196#1786C2211yescharacteristic
197#1786C2211yescharacteristic
198#1780C2211yescharacteristic
199#1762C2211yescharacteristic, complemented
200C4×#102C2211yescharacteristic, complemented
201#1753C2211yescharacteristic
202#1735C2211yescharacteristic
203C22×#41C2311yescharacteristic
204C22×#41C2311yescharacteristic
205C22×#41C2311yescharacteristic
206C23×D4C2311yescharacteristic
207C23×D4C2311yescharacteristic
208C22×SD16C2311yescharacteristic
209C22×SD16C2311yescharacteristic
210C22×D8—42no—
211C22×D8—42no—
212C22×D8—42no—
213C22×D8C2311yescharacteristic
214C22×D8C2311yescharacteristic
215C22×D8C2311yescharacteristic
216C22×D8C2311yescharacteristic
217C22×D8C2311yescharacteristic
218C22×D8C2311yescharacteristic
219C22×M16C2311yescharacteristic
220C23×C8C2311yescharacteristic
221C23×C8C2311yescharacteristic
222#555—42no—
223#555—42no—
224#550—42no—
225#550—42no—
226#546—24no—
227#546—42no—
228#537—24no—
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×#124—21no—
242C2×#124—21no—
243C2×#124—21no—
244C2×#124—21no—
245C2×#124—21no—
246C2×#124C2311yescharacteristic
247C2×#123—21no—
248C2×#123—21no—
249C2×C22⋊Q8—21no—
250C2×C22⋊Q8C2311yescharacteristic
251C2×C22⋊Q8C2311yescharacteristic
252C2×#121—21no—
253C2×#121—21no—
254C2×#121—21no—
255C2×#121—21no—
256C2×#121—21no—
257C2×#121—21no—
258C2×#121—21no—
259C2×#121—21no—
260C2×#121—21no—
261C2×#121—21no—
262C2×#121C2311yescharacteristic
263C2×#121C2311yescharacteristic
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×#120—21no—
277C2×#120—21no—
278C2×#120—21no—
279C2×#120—21no—
280C2×#120—21no—
281C2×#120—21no—
282C2×#120—21no—
283C2×#120—21no—
284C2×C4×Q8C2311yescharacteristic
285C2×C4×D4—21no—
286C2×C4×D4—21no—
287C2×C4×D4—21no—
288C2×C4×D4C2311yescharacteristic
289C2×C4×D4C2311yescharacteristic
290C2×C4×D4C2311yescharacteristic
291C2×C4×D4C2311yescharacteristic
292C2×C4×D4C2311yescharacteristic
293C2×C4×D4C2311yescharacteristic
294C2×#117—21no—
295C2×#117C2311yescharacteristic
296C2×#117C2311yescharacteristic
297C2×#117C2311yescharacteristic
298C2×#117C2311yescharacteristic
299C22×C4⋊C4C2311yescharacteristic
300C22×C4⋊C4C2311yescharacteristic
301C22×C22⋊C4—21no—
302C22×C22⋊C4—21no—
303#486—42no—
304#481—42no—
305#480—42no—
306#466—42no—
307#459—42no—
308#459—42no—
309#450—24no—
310#449—42no—
311#449—42no—
312#449—42no—
313#449—42no—
314#447—42no—
315#440—42no—
316#435—42no—
317C2×#107C2311yescharacteristic
318C2×#107C2311yescharacteristic
319C2×#106C2311yescharacteristic
320C2×#106C2311yescharacteristic
321C2×C4⋊C8C2311yescharacteristic
322C2×C4⋊C8C2311yescharacteristic
323C2×C4⋊C8C2311yescharacteristic
324#418—42no—
325#418—42no—
326#416—42no—
327C2×#103C2311yescharacteristic
328C2×#103C2311yescharacteristic
329C2×#103C2311yescharacteristic
330C2×#103C2311yescharacteristic
331C2×#103C2311yescharacteristic
332C2×#103C2311yescharacteristic
333C2×#102C2311yescharacteristic
334C2×#102C2311yescharacteristic
335C2×#102C2311yescharacteristic
336C2×#102C2311yescharacteristic
337C2×#102C2311yescharacteristic
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
359#408—42no—
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×#97C2311yescharacteristic
374C2×#97C2311yescharacteristic
375C2×C4×C8C2311yescharacteristic
376#397—21no—
377#397—21no—
378#396—21no—
379#396—21no—
380#396—21no—
381#396—21no—
382#395D411yescharacteristic
383#394—21no—
384#394—21no—
385#394—21no—
386#394—21no—
387#394—21no—
388#394—21no—
389#394—21no—
390#394—21no—
391#394—21no—
392#394—21no—
393#394—21no—
394#394—21no—
395#394D411yescharacteristic
396#394D411yescharacteristic
397#394D411yescharacteristic
398#393—21no—
399#393—21no—
400#393D411yescharacteristic
401#392—21no—
402#392—21no—
403#392—21no—
404#392—21no—
405#392—21no—
406#392—21no—
407#392—21no—
408#392—21no—
409#392—21no—
410#392—21no—
411#392—21no—
412#392—21no—
413#392D411yescharacteristic
414#392D411yescharacteristic
415#392D411yescharacteristic
416#391—21no—
417#391—21no—
418#391C2311yescharacteristic
419#390—21no—
420#390—21no—
421#390—21no—
422#390—21no—
423#390—21no—
424#390—21no—
425#390C2311yescharacteristic
426#390C2311yescharacteristic
427#390C2311yescharacteristic
428#390C2311yescharacteristic
429#390C2311yescharacteristic
430#390C2311yescharacteristic
431#390C2311yescharacteristic
432#389C2311yescharacteristic
433#389C2311yescharacteristic
434#389C2311yescharacteristic
435#389C2311yescharacteristic
436#388—21no—
437#388—21no—
438#388—21no—
439#388—21no—
440#388—21no—
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#386—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#385—21no—
465#385—21no—
466#385—21no—
467#385—21no—
468#384C2311yescharacteristic
469#382C2311yescharacteristic
470#380C2311yescharacteristic
471#380C2311yescharacteristic
472#380C2311yescharacteristic
473#380C2311yescharacteristic
474#380C2311yescharacteristic
475#380C2311yescharacteristic
476#379—21no—
477#379—21no—
478C4×C4⋊C4—21no—
479C4×C4⋊C4—21no—
480C4×C4⋊C4C2311yescharacteristic
481C4×C4⋊C4C2311yescharacteristic
482C4×C22⋊C4C2311yescharacteristic
483C4×C22⋊C4C2311yescharacteristic
484C4×C22⋊C4C2311yescharacteristic
485#340C2311yescharacteristic
486#340C2311yescharacteristic
487#340C2311yescharacteristic
488#340C2311yescharacteristic
489#340C2311yescharacteristic
490#340C2311yescharacteristic
491#340C2311yescharacteristic
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#336C2311yescharacteristic
506#336C2311yescharacteristic
507#336C2311yescharacteristic
508#336C2311yescharacteristic
509#336C2311yescharacteristic
510#336C2311yescharacteristic
511C25—21no—
512C25—21no—
513C2×#41—22no—
514C2×#41—22no—
515C2×#41—22no—
516C2×#41—22no—
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—
529C2×#41—41no—
530C2×#41—41no—
531C22×Q8—21no—
532C22×Q8C2×D411yescharacteristic
533C22×Q8C2411yescharacteristic
534C22×D4—21no—
535C22×D4—21no—
536C22×D4—22no—
537C22×D4—22no—
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—22no—
559C22×D4—22no—
560C22×D4—22no—
561C22×D4—22no—
562C22×D4—41no—
563C22×D4—41no—
564C22×D4—41no—
565C22×D4—41no—
566C22×D4—41no—
567C22×D4—41no—
568C22×D4C2×D411yescharacteristic
569C22×D4C2×D411yescharacteristic
570C22×D4C2×D411yescharacteristic
571C22×D4C2×D411yescharacteristic
572C22×D4C2×D411yescharacteristic
573C22×D4C2×D411yescharacteristic
574C22×D4C2411yescharacteristic
575C22×D4C2411yescharacteristic
576C22×D4C2411yescharacteristic
577C22×D4C2411yescharacteristic
578C22×D4C2411yescharacteristic
579C23×C4—21no—
580C23×C4—21no—
581C23×C4—21no—
582C23×C4—21no—
583C23×C4—21no—
584C23×C4—21no—
585C23×C4—21no—
586C23×C4C2411yescharacteristic
587C23×C4C2411yescharacteristic
588C23×C4C2411yescharacteristic
589C23×C4C2411yescharacteristic
590C2×SD16—22no—
591C2×SD16—22no—
592C2×SD16—22no—
593C2×SD16—41no—
594C2×SD16—41no—
595C2×SD16—41no—
596C2×D8—22no—
597C2×D8—22no—
598C2×D8—22no—
599C2×D8—22no—
600C2×D8—22no—
601C2×D8—41no—
602C2×D8—41no—
603C2×D8—41no—
604C2×D8—41no—
605C2×D8—41no—
606C2×D8—41no—
607C2×D8—41no—
608C2×D8—41no—
609C2×D8—41no—
610C2×D8—41no—
611C2×D8—41no—
612C2×D8—41no—
613C2×D8—41no—
614C2×D8—416no—
615C2×M16—22no—
616C2×M16—41no—
617C2×M16—41no—
618C22×C8—22no—
619C22×C8—41no—
620C22×C8—41no—
621C22×C8—41no—
622C22×C8—41no—
623C22×C8—41no—
624C22×C8C2411yescharacteristic
625C22×C8C2411yescharacteristic
626C22×C8C2411yescharacteristic
627C22×C8C2411yescharacteristic
628C22×C8C2411yescharacteristic
629C22×C8C2411yescharacteristic
630C22×C8C2411yescharacteristic
631C22×C8C2411yescharacteristic
632C4⋊Q8—22no—
633C4⋊Q8—41no—
634#127—22no—
635#127—41no—
636#127—41no—
637#127—41no—
638#127—44no—
639#127—44no—
640#127—44no—
641#127—82no—
642#124—22no—
643#124—41no—
644#124—44no—
645#124—44no—
646#124—44no—
647#124—44no—
648#124—82no—
649#123—44no—
650#123—82no—
651C22⋊Q8—22no—
652C22⋊Q8—22no—
653C22⋊Q8—41no—
654C22⋊Q8—44no—
655C22⋊Q8#4114yes—
656#121—22no—
657#121—22no—
658#121—22no—
659#121—22no—
660#121—22no—
661#121—22no—
662#121—22no—
663#121—22no—
664#121—22no—
665#121—22no—
666#121—22no—
667#121—22no—
668#121—22no—
669#121—22no—
670#121—44no—
671#121—44no—
672#121—44no—
673#121—44no—
674#121—41no—
675#121—41no—
676#121—41no—
677#121—41no—
678#121—41no—
679#121—41no—
680#121—41no—
681#121—41no—
682#121—41no—
683#121—41no—
684#121—41no—
685#121—41no—
686#121—44no—
687#121—44no—
688#121—44no—
689#121—41no—
690#121—41no—
691#121—82no—
692#121—82no—
693#121—82no—
694#120—44no—
695#120—44no—
696#120—44no—
697#120—44no—
698#120—44no—
699#120—82no—
700#120—82no—
701#120—82no—
702C4×Q8—22no—
703C4×Q8—41no—
704C4×D4—22no—
705C4×D4—22no—
706C4×D4—22no—
707C4×D4—22no—
708C4×D4—41no—
709C4×D4—41no—
710C4×D4—41no—
711C4×D4—41no—
712C4×D4—41no—
713C4×D4—41no—
714C4×D4—41no—
715C4×D4—41no—
716C4×D4—44no—
717C4×D4—82no—
718C4×D4—82no—
719#117—22no—
720#117—22no—
721#117—22no—
722#117—44no—
723#117—41no—
724#117—41no—
725#117—41no—
726#117—41no—
727#117—41no—
728C2×C4⋊C4—21no—
729C2×C4⋊C4—22no—
730C2×C4⋊C4—21no—
731C2×C4⋊C4—21no—
732C2×C4⋊C4—21no—
733C2×C4⋊C4—21no—
734C2×C4⋊C4—21no—
735C2×C4⋊C4—21no—
736C2×C4⋊C4—21no—
737C2×C4⋊C4—21no—
738C2×C4⋊C4—21no—
739C2×C4⋊C4—21no—
740C2×C4⋊C4—21no—
741C2×C4⋊C4—41no—
742C2×C4⋊C4—41no—
743C2×C4⋊C4—41no—
744C2×C4⋊C4C2×D411yescharacteristic
745C2×C4⋊C4C2×D411yescharacteristic
746C2×C4⋊C4C2×D411yescharacteristic
747C2×C4⋊C4C2411yescharacteristic
748C2×C4⋊C4C2411yescharacteristic
749C2×C4⋊C4C2411yescharacteristic
750C2×C4⋊C4C2411yescharacteristic
751C2×C4⋊C4C2411yescharacteristic
752C2×C4⋊C4C2411yescharacteristic
753C2×C4⋊C4C2411yescharacteristic
754C2×C4⋊C4C2411yescharacteristic
755C2×C4⋊C4C2411yescharacteristic
756C2×C4⋊C4C2411yescharacteristic
757C2×C22⋊C4—21no—
758C2×C22⋊C4—21no—
759C2×C22⋊C4—21no—
760C2×C22⋊C4—21no—
761C2×C22⋊C4—21no—
762C2×C22⋊C4—21no—
763C2×C22⋊C4—21no—
764C2×C22⋊C4—21no—
765C2×C22⋊C4—21no—
766C2×C22⋊C4—21no—
767C2×C22⋊C4—21no—
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—44no—
803C2×C22⋊C4—82no—
804C2×C22⋊C4C2×D411yescharacteristic
805C2×C22⋊C4C2×D411yescharacteristic
806C2×C22⋊C4C2×D411yescharacteristic
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×C42—21no—
817C2×C42—21no—
818C2×C42—21no—
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#106—41no—
829#106—41no—
830C4⋊C8—41no—
831C4⋊C8—41no—
832C4⋊C8—41no—
833#103—22no—
834#103—41no—
835#103—41no—
836#103—41no—
837#103—41no—
838#103—41no—
839#102—22no—
840#102—22no—
841#102—22no—
842#102—22no—
843#102—22no—
844#102—22no—
845#102—22no—
846#102—22no—
847#102—22no—
848#102—41no—
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—22no—
866C22⋊C8—22no—
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—
878#97—41no—
879#97—41no—
880C4×C8—41no—
881#95—21no—
882#95—21no—
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#95C2×D411yescharacteristic
898#95C2×D411yescharacteristic
899#95C2×D411yescharacteristic
900#95C2×D411yescharacteristic
901#95C2×D411yescharacteristic
902#95C2×D411yescharacteristic
903C24—21no—
904C24—21no—
905C24—21no—
906C24—21no—
907C24—21no—
908C24—42no—
909C24—42no—
910C24—42no—
911C24—42no—
912C24—81no—
913C24—81no—
914C24—81no—
915C24—81no—
916C24—81no—
917C24—81no—
918C24—81no—
919C24—81no—
920C24—81no—
921C24—81no—
922C24C22×D411yescharacteristic
923C24C22×D411yescharacteristic
924C24C22×D411yescharacteristic
925C24C22×D411yescharacteristic
926#41—44no—
927#41—82no—
928#41—82no—
929#41—82no—
930#41—82no—
931#41—82no—
932#41—82no—
933#41—82no—
934#41—82no—
935#41—82no—
936#41—82no—
937#41—82no—
938C2×Q8—22no—
939C2×Q8—21no—
940C2×Q8—21no—
941C2×Q8—21no—
942C2×Q8—21no—
943C2×Q8—21no—
944C2×Q8—41no—
945C2×Q8—41no—
946C2×Q8—42no—
947C2×Q8—81no—
948C2×Q8—81no—
949C2×Q8C2×#4112yes—
950C2×D4—24no—
951C2×D4—24no—
952C2×D4—22no—
953C2×D4—22no—
954C2×D4—22no—
955C2×D4—22no—
956C2×D4—22no—
957C2×D4—21no—
958C2×D4—21no—
959C2×D4—21no—
960C2×D4—21no—
961C2×D4—21no—
962C2×D4—21no—
963C2×D4—21no—
964C2×D4—21no—
965C2×D4—21no—
966C2×D4—21no—
967C2×D4—21no—
968C2×D4—21no—
969C2×D4—21no—
970C2×D4—21no—
971C2×D4—21no—
972C2×D4—21no—
973C2×D4—21no—
974C2×D4—21no—
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—44no—
986C2×D4—44no—
987C2×D4—44no—
988C2×D4—44no—
989C2×D4—41no—
990C2×D4—41no—
991C2×D4—41no—
992C2×D4—41no—
993C2×D4—41no—
994C2×D4—41no—
995C2×D4—41no—
996C2×D4—41no—
997C2×D4—41no—
998C2×D4—41no—
999C2×D4—41no—
1000C2×D4—41no—
1001C2×D4—41no—
1002C2×D4—42no—
1003C2×D4—42no—
1004C2×D4—42no—
1005C2×D4—42no—
1006C2×D4—42no—
1007C2×D4—42no—
1008C2×D4—42no—
1009C2×D4—42no—
1010C2×D4—42no—
1011C2×D4—42no—
1012C2×D4—42no—
1013C2×D4—42no—
1014C2×D4—42no—
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—82no—
1026C2×D4—82no—
1027C2×D4—82no—
1028C2×D4—82no—
1029C2×D4—81no—
1030C2×D4—81no—
1031C2×D4—81no—
1032C2×D4—81no—
1033C2×D4—81no—
1034C2×D4—81no—
1035C2×D4—81no—
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—81no—
1046C2×D4—81no—
1047C2×D4—81no—
1048C2×D4—81no—
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×D4H(5,𝔽2)12yes—
1071C2×D4H(5,𝔽2)12yes—
1072C22×C4—21no—
1073C22×C4—21no—
1074C22×C4—21no—
1075C22×C4—21no—
1076C22×C4—21no—
1077C22×C4—21no—
1078C22×C4—21no—
1079C22×C4—21no—
1080C22×C4—21no—
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—42no—
1106C22×C4—42no—
1107C22×C4—42no—
1108C22×C4—42no—
1109C22×C4—42no—
1110C22×C4—42no—
1111C22×C4—42no—
1112C22×C4—42no—
1113C22×C4—81no—
1114C22×C4—81no—
1115C22×C4—81no—
1116C22×C4—81no—
1117C22×C4—81no—
1118C22×C4—81no—
1119C22×C4—81no—
1120C22×C4—81no—
1121C22×C4—81no—
1122C22×C4—81no—
1123C22×C4—81no—
1124C22×C4—81no—
1125C22×C4—81no—
1126C22×C4C22×D411yescharacteristic
1127C22×C4C22×D411yescharacteristic
1128C22×C4C22×D411yescharacteristic
1129C22×C4C22×D411yescharacteristic
1130C22×C4C22×D411yescharacteristic
1131C22×C4C22×D411yescharacteristic
1132C22×C4C22×D411yescharacteristic
1133C22×C4C22×D411yescharacteristic
1134C22×C4C22×D411yescharacteristic
1135C22×C4C22×D411yescharacteristic
1136C22×C4C2×#4112yes—
1137C22×C4H(5,𝔽2)12yes—
1138C22×C4C2511yescharacteristic
1139SD16—44no—
1140SD16—82no—
1141D8—44no—
1142D8—44no—
1143D8—44no—
1144D8—44no—
1145D8—82no—
1146D8—82no—
1147M16—82no—
1148C2×C8—21no—
1149C2×C8—21no—
1150C2×C8—21no—
1151C2×C8—21no—
1152C2×C8—21no—
1153C2×C8—21no—
1154C2×C8—21no—
1155C2×C8—21no—
1156C2×C8—21no—
1157C2×C8—21no—
1158C2×C8—21no—
1159C2×C8—21no—
1160C2×C8—21no—
1161C2×C8—21no—
1162C2×C8—21no—
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—44no—
1173C2×C8—82no—
1174C4⋊C4—24no—
1175C4⋊C4—22no—
1176C4⋊C4—21no—
1177C4⋊C4—21no—
1178C4⋊C4—21no—
1179C4⋊C4—21no—
1180C4⋊C4—21no—
1181C4⋊C4—21no—
1182C4⋊C4—21no—
1183C4⋊C4—21no—
1184C4⋊C4—21no—
1185C4⋊C4—21no—
1186C4⋊C4—21no—
1187C4⋊C4—21no—
1188C4⋊C4—21no—
1189C4⋊C4—21no—
1190C4⋊C4—21no—
1191C4⋊C4—21no—
1192C4⋊C4—21no—
1193C4⋊C4—41no—
1194C4⋊C4—41no—
1195C4⋊C4—42no—
1196C4⋊C4—42no—
1197C4⋊C4—42no—
1198C4⋊C4—42no—
1199C4⋊C4—42no—
1200C4⋊C4—42no—
1201C4⋊C4—81no—
1202C4⋊C4—81no—
1203C4⋊C4—81no—
1204C4⋊C4—81no—
1205C4⋊C4—81no—
1206C4⋊C4C2×#4112yes—
1207C4⋊C4H(5,𝔽2)12yes—
1208C4⋊C4H(5,𝔽2)12yes—
1209C22⋊C4—24no—
1210C22⋊C4—24no—
1211C22⋊C4—24no—
1212C22⋊C4—22no—
1213C22⋊C4—22no—
1214C22⋊C4—22no—
1215C22⋊C4—22no—
1216C22⋊C4—41no—
1217C22⋊C4—41no—
1218C22⋊C4—41no—
1219C22⋊C4—41no—
1220C22⋊C4—41no—
1221C22⋊C4—41no—
1222C22⋊C4—41no—
1223C22⋊C4—41no—
1224C22⋊C4—42no—
1225C22⋊C4—42no—
1226C22⋊C4—42no—
1227C22⋊C4—42no—
1228C22⋊C4—42no—
1229C22⋊C4—42no—
1230C22⋊C4—42no—
1231C22⋊C4—42no—
1232C22⋊C4—42no—
1233C22⋊C4—42no—
1234C22⋊C4—42no—
1235C22⋊C4—42no—
1236C22⋊C4—42no—
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—81no—
1250C22⋊C4—81no—
1251C22⋊C4—81no—
1252C22⋊C4—81no—
1253C22⋊C4—81no—
1254C22⋊C4—81no—
1255C22⋊C4—81no—
1256C22⋊C4—81no—
1257C22⋊C4—81no—
1258C22⋊C4—81no—
1259C22⋊C4—81no—
1260C22⋊C4—81no—
1261C22⋊C4—81no—
1262C22⋊C4—81no—
1263C22⋊C4—81no—
1264C22⋊C4—81no—
1265C22⋊C4—81no—
1266C42—21no—
1267C42—21no—
1268C42—21no—
1269C42—21no—
1270C42—21no—
1271C42—21no—
1272C42—42no—
1273C42—42no—
1274C42—42no—
1275C42—42no—
1276C42—42no—
1277C42—42no—
1278C42—42no—
1279C23—21no—
1280C23—21no—
1281C23—21no—
1282C23—21no—
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—22no—
1298C23—22no—
1299C23—21no—
1300C23—21no—
1301C23—21no—
1302C23—21no—
1303C23—21no—
1304C23—21no—
1305C23—21no—
1306C23—21no—
1307C23—21no—
1308C23—41no—
1309C23—41no—
1310C23—41no—
1311C23—41no—
1312C23—41no—
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—41no—
1340C23—41no—
1341C23—84no—
1342C23—84no—
1343C23—84no—
1344C23—84no—
1345C23—162no—
1346C23—162no—
1347C23—162no—
1348C23—162no—
1349C23—162no—
1350C23—162no—
1351C23—162no—
1352C23—162no—
1353C23—162no—
1354C23—162no—
1355C23#54612yes—
1356C23C23×D411yescharacteristic
1357Q8—22no—
1358Q8—22no—
1359Q8—41no—
1360Q8—41no—
1361Q8—82no—
1362Q8—162no—
1363D4—22no—
1364D4—22no—
1365D4—22no—
1366D4—22no—
1367D4—41no—
1368D4—41no—
1369D4—41no—
1370D4—41no—
1371D4—41no—
1372D4—41no—
1373D4—41no—
1374D4—41no—
1375D4—41no—
1376D4—41no—
1377D4—41no—
1378D4—41no—
1379D4—41no—
1380D4—41no—
1381D4—41no—
1382D4—41no—
1383D4—82no—
1384D4—82no—
1385D4—84no—
1386D4—84no—
1387D4—82no—
1388D4—82no—
1389D4—82no—
1390D4—84no—
1391D4—84no—
1392D4—82no—
1393D4—84no—
1394D4—84no—
1395D4—84no—
1396D4—162no—
1397D4—162no—
1398D4—162no—
1399D4—162no—
1400D4—162no—
1401D4—162no—
1402D4—162no—
1403D4—162no—
1404D4—162no—
1405D4—162no—
1406D4—162no—
1407D4—162no—
1408D4—162no—
1409D4—162no—
1410D4—162no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—22no—
1416C2×C4—22no—
1417C2×C4—22no—
1418C2×C4—22no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—22no—
1430C2×C4—22no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—22no—
1439C2×C4—22no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
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—41no—
1485C2×C4—41no—
1486C2×C4—41no—
1487C2×C4—41no—
1488C2×C4—84no—
1489C2×C4—84no—
1490C2×C4—84no—
1491C2×C4—162no—
1492C2×C4—162no—
1493C2×C4—162no—
1494C2×C4—162no—
1495C2×C4#54612yes—
1496C2×C4#57612yes—
1497C2×C4C22×#4111yescharacteristic
1498C2×C4C2×H(5,𝔽2)11yescharacteristic
1499C2×C4C2×H(5,𝔽2)11yescharacteristic
1500C2×C4C2×H(5,𝔽2)11yescharacteristic
1501C2×C4C2×H(5,𝔽2)11yescharacteristic
1502C2×C4C2×H(5,𝔽2)11yescharacteristic
1503C8—41no—
1504C8—41no—
1505C8—41no—
1506C8—41no—
1507C8—41no—
1508C8—41no—
1509C8—41no—
1510C8—41no—
1511C22—22no—
1512C22—22no—
1513C22—22no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—42no—
1528C22—42no—
1529C22—41no—
1530C22—42no—
1531C22—41no—
1532C22—41no—
1533C22—42no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—42no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—42no—
1544C22—41no—
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—81no—
1564C22—81no—
1565C22—81no—
1566C22—81no—
1567C22—81no—
1568C22—81no—
1569C22—81no—
1570C22—81no—
1571C22—81no—
1572C22—81no—
1573C22—81no—
1574C22—168no—
1575C22—168no—
1576C22C2×#54611yescharacteristic
1577C22#348411yescharacteristic
1578C22#348411yescharacteristic
1579C22C2×#57611yescharacteristic
1580C22#358411yescharacteristic
1581C22#358511yescharacteristic
1582C22#358511yescharacteristic
1583C4—22no—
1584C4—22no—
1585C4—41no—
1586C4—41no—
1587C4—42no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—42no—
1592C4—41no—
1593C4—41no—
1594C4—42no—
1595C4—41no—
1596C4—42no—
1597C4—81no—
1598C4—81no—
1599C4—81no—
1600C4—81no—
1601C4—81no—
1602C4—81no—
1603C4—81no—
1604C4#351911yescharacteristic
1605C4#351911yescharacteristic
1606C4#353211yescharacteristic
1607C4#354311yescharacteristic
1608C2—42no—
1609C2—81no—
1610C2—81no—
1611C2—81no—
1612C2—82no—
1613C2—82no—
1614C2—161no—
1615C2—161no—
1616C2—161no—
1617C2#4309511yescharacteristic
1618C2#6118911yescharacteristic
1619C2#6120511yescharacteristic
1620C2#6162511yescharacteristic
1621C2#6163911yescharacteristic
1622C2#6166911yescharacteristic
1623C2#6167911yescharacteristic
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. #44887C2semidirect
2. #44886C2semidirect
3. #31865C2semidirect
4. #31850C2semidirect
5. #31728C2semidirect
6. #31396C2semidirect
7. #31026C2semidirect
8. #31011C2semidirect
9. #30701C2semidirect
10. #30529C2semidirect
11. #27273C2semidirect
12. #26943C2semidirect
13. #26737C2semidirect
14. #26656C2semidirect
15. #26640C2semidirect
16. #26415C2semidirect
17. #26209C2semidirect
18. #25572C2semidirect
19. #25116C2semidirect
20. #24435C2semidirect
21. #24354C2semidirect
22. #24250C2semidirect
23. #24013C2semidirect
24. #23965C2semidirect
25. #23924C2semidirect
26. #23851C2semidirect
27. #23387C2semidirect
28. #22864C2semidirect
29. #22424C2semidirect
30. #22037C2semidirect
31. #21772C2semidirect
33. C2×#555C22semidirect
34. C2×#550C22semidirect
39. C2×#486C22semidirect
40. C2×#481C22semidirect
41. C2×#480C22semidirect
42. C2×#466C22semidirect
47. C2×#449C22semidirect
48. C2×#449C22semidirect
51. C2×#440C22semidirect
55. C2×#416C22semidirect
67. #2541C22semidirect
68. #2535C22semidirect
69. #2500C22semidirect
70. #2491C22semidirect
75. #2431C22semidirect
76. #2428C22semidirect
77. #2426C22semidirect
81. #2422C22semidirect
82. #2416C22semidirect
83. #2416C22semidirect
85. #2414C22semidirect
88. #2407C22semidirect
91. #2361C22semidirect
92. #2361C22semidirect
96. #2101C22semidirect
97. #2099C22semidirect
98. #2088C22semidirect
99. #2077C22semidirect
100. #2073C22semidirect
101. #2071C22semidirect
102. #2067C22semidirect
103. #2066C22semidirect
106. #2054C22semidirect
107. #2041C22semidirect
108. #2041C22semidirect
109. #2034C22semidirect
110. #2034C22semidirect
111. #2034C22semidirect
112. #2033C22semidirect
113. #2033C22semidirect
114. #2033C22semidirect
115. #2024C22semidirect
116. #2023C22semidirect
121. #2000C22semidirect
122. #2000C22semidirect
133. #1999C22semidirect
134. #1999C22semidirect
135. #1999C22semidirect
136. #1987C22semidirect
137. #1983C22semidirect
138. #1972C22semidirect
139. #1968C22semidirect
140. #1961C22semidirect
141. #1959C22semidirect
142. #1955C22semidirect
143. #1954C22semidirect
144. #1936C22semidirect
145. #1936C22semidirect
146. #1936C22semidirect
147. #1934C22semidirect
148. #1926C22semidirect
149. #1925C22semidirect
150. #1924C22semidirect
151. #1924C22semidirect
152. #1924C22semidirect
153. #1923C22semidirect
154. #1921C22semidirect
155. #1918C22semidirect
159. #1893C22semidirect
160. #1893C22semidirect
162. #1880C22semidirect
167. #1877C22semidirect
169. #1875C22semidirect
170. #1875C22semidirect
171. #1875C22semidirect
172. #1875C22semidirect
173. #1875C22semidirect
174. #1874C22semidirect
175. #1874C22semidirect
176. #1874C22semidirect
178. #1873C22semidirect
179. #1872C22semidirect
181. #1869C22semidirect
182. #1869C22semidirect
183. #1864C22semidirect
184. #1863C22semidirect
188. #1825C22semidirect
189. #1824C22semidirect
190. #1823C22semidirect
191. #1805C22semidirect
192. #1802C22semidirect
193. #1788C22semidirect
194. #1788C22semidirect
195. #1788C22semidirect
199. #1762C22semidirect
200. C4×#102C22semidirect

Maximal subgroups

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

subgroupindex
#448872
#448862
#318652
#318502
#317282
#313962
#310262
#310112
#307012
#305292
#272732
#269432
#267372
#266562
#266402
#264152
#262092
#255722
#251162
#244352
#243542
#242502
#240132
#239652
#239242
#238512
#233872
#228642
#224242
#220372
#217722