Finite Group Databasebeta

← #6970349

Subgroups — #6970349

Order 512.

2385 conjugacy classes of subgroups.

The subgroup lattice has 1761 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#37650C211yesmaximal, characteristic, complemented
2#37650C211yesmaximal, characteristic, complemented
3#32712C211yesmaximal, characteristic, complemented
4#32707C211yesmaximal, characteristic, complemented
5#31728C211yesmaximal, characteristic, complemented
6#31727C211yesmaximal, characteristic, complemented
7#31064C211yesmaximal, characteristic, complemented
8#31056C211yesmaximal, characteristic, complemented
9#31036C211yesmaximal, characteristic, complemented
10#31032C211yesmaximal, characteristic, complemented
11#31020C211yesmaximal, characteristic, complemented
12#31016C211yesmaximal, characteristic, complemented
13#29810C211yesmaximal, characteristic, complemented
14#29602C211yesmaximal, characteristic, complemented
15#29602C211yesmaximal, characteristic, complemented
16#29594C211yesmaximal, characteristic, complemented
17#29592C211yesmaximal, characteristic, complemented
18#26248C211yesmaximal, characteristic, complemented
19#26246C211yesmaximal, characteristic, complemented
20#25757C211yesmaximal, characteristic, complemented
21#25757C211yesmaximal, characteristic, complemented
22#24974C211yesmaximal, characteristic, complemented
23#24973C211yesmaximal, characteristic, complemented
24#24662C211yesmaximal, characteristic, complemented
25#24662C211yesmaximal, characteristic, complemented
26#24248C211yesmaximal, characteristic, complemented
27#24248C211yesmaximal, characteristic, complemented
28#23925C211yesmaximal, characteristic, complemented
29#23918C211yesmaximal, characteristic, complemented
30#23712C211yesmaximal, characteristic, complemented
31#21792C211yesmaximal, characteristic, complemented
32C2×D42C2211yescharacteristic, complemented
33C2×D42C2211yescharacteristic, complemented
34C2×#535C2211yescharacteristic, complemented
35C2×#535C2211yescharacteristic, complemented
36C2×#525C2211yescharacteristic
37C22×#121C2211yescharacteristic, complemented
38C22×#121C2211yescharacteristic, complemented
39C2×#493C2211yescharacteristic, complemented
40C2×#481C2211yescharacteristic, complemented
41C2×#482C2211yescharacteristic, complemented
42C2×#482C2211yescharacteristic, complemented
43C2×#480C2211yescharacteristic, complemented
44C2×#459C2211yescharacteristic, complemented
45C2×#459C2211yescharacteristic, complemented
46C2×#447C2211yescharacteristic
47C2×#447C2211yescharacteristic
48C2×#447C2211yescharacteristic, complemented
49C2×#447C2211yescharacteristic, complemented
50C2×#447C2211yescharacteristic, complemented
51C2×#447C2211yescharacteristic, complemented
52C2×#447C2211yescharacteristic, complemented
53C2×#447C2211yescharacteristic, complemented
54C2×#447C2211yescharacteristic, complemented
55C2×#447C2211yescharacteristic, complemented
56C2×#447C2211yescharacteristic, complemented
57C2×#447C2211yescharacteristic, complemented
58C2×#442C2211yescharacteristic, complemented
59C2×#433C2211yescharacteristic, complemented
60C2×#433C2211yescharacteristic, complemented
61#2847C2211yescharacteristic, complemented
62#2847C2211yescharacteristic, complemented
63#2678—21no—
64#2678—21no—
65#2676—21no—
66#2676—21no—
67#2673—21no—
68#2673—21no—
69#2669—21no—
70#2669—21no—
71#2619C2211yescharacteristic, complemented
72#2619C2211yescharacteristic, complemented
73#2615C2211yescharacteristic, complemented
74#2615C2211yescharacteristic, complemented
75#2541C2211yescharacteristic
76#2541C2211yescharacteristic
77#2535C2211yescharacteristic
78#2535C2211yescharacteristic
79#2472—21no—
80#2472—21no—
81#2433—21no—
82#2433—21no—
83#2416C2211yescharacteristic, complemented
84#2416C2211yescharacteristic, complemented
85#2414C2211yescharacteristic, complemented
86#2414C2211yescharacteristic, complemented
87#2410—21no—
88#2410—21no—
89#2408C2211yescharacteristic, complemented
90#2408C2211yescharacteristic, complemented
91#2408C2211yescharacteristic, complemented
92#2408C2211yescharacteristic, complemented
93#2403—21no—
94#2403—21no—
95#2352C2211yescharacteristic, complemented
96#2352C2211yescharacteristic, complemented
97#2324C2211yescharacteristic, complemented
98#2324C2211yescharacteristic, complemented
99#2088C2211yescharacteristic, complemented
100#2077C2211yescharacteristic, complemented
101#2077C2211yescharacteristic, complemented
102#2077C2211yescharacteristic, complemented
103#2076C2211yescharacteristic, complemented
104#2075C2211yescharacteristic, complemented
105#2067C2211yescharacteristic, complemented
106#2065C2211yescharacteristic, complemented
107#2054C2211yescharacteristic, complemented
108#2054C2211yescharacteristic, complemented
109#2054C2211yescharacteristic, complemented
110#2054C2211yescharacteristic, complemented
111#2054C2211yescharacteristic, complemented
112#2034C2211yescharacteristic, complemented
113#2034C2211yescharacteristic, complemented
114#2034C2211yescharacteristic, complemented
115#2034C2211yescharacteristic, complemented
116#2034C2211yescharacteristic, complemented
117#2034C2211yescharacteristic, complemented
118#2034C2211yescharacteristic, complemented
119#2034C2211yescharacteristic, complemented
120#2034C2211yescharacteristic, complemented
121#2034C2211yescharacteristic, complemented
122#2034C2211yescharacteristic, complemented
123#2034C2211yescharacteristic, complemented
124#2034C2211yescharacteristic, complemented
125#2033C2211yescharacteristic, complemented
126#2033C2211yescharacteristic, complemented
127#2033C2211yescharacteristic, complemented
128#2033C2211yescharacteristic, complemented
129#2033C2211yescharacteristic, complemented
130#2033C2211yescharacteristic, complemented
131#2033C2211yescharacteristic, complemented
132#2033C2211yescharacteristic, complemented
133#2033C2211yescharacteristic, complemented
134#1999C2211yescharacteristic
135#1999C2211yescharacteristic
136#1999C2211yescharacteristic
137#1999C2211yescharacteristic, complemented
138#1999C2211yescharacteristic, complemented
139#1999C2211yescharacteristic, complemented
140#1999C2211yescharacteristic, complemented
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#1999C2211yescharacteristic, complemented
150#1999C2211yescharacteristic, complemented
151#1999C2211yescharacteristic, complemented
152#1999C2211yescharacteristic, complemented
153#1999C2211yescharacteristic, complemented
154#1999C2211yescharacteristic, complemented
155#1982C2211yescharacteristic, complemented
156#1982C2211yescharacteristic, complemented
157#1972C2211yescharacteristic, complemented
158#1972C2211yescharacteristic, complemented
159#1970C2211yescharacteristic, complemented
160#1970C2211yescharacteristic, complemented
161#1961C2211yescharacteristic, complemented
162#1961C2211yescharacteristic, complemented
163#1955C2211yescharacteristic, complemented
164#1955C2211yescharacteristic, complemented
165#1955C2211yescharacteristic, complemented
166#1955C2211yescharacteristic, complemented
167#1954C2211yescharacteristic, complemented
168#1954C2211yescharacteristic, complemented
169#1954C2211yescharacteristic, complemented
170#1954C2211yescharacteristic, complemented
171#1949C2211yescharacteristic, complemented
172#1949C2211yescharacteristic, complemented
173#1936C2211yescharacteristic, complemented
174#1936C2211yescharacteristic, complemented
175#1934C2211yescharacteristic, complemented
176#1934C2211yescharacteristic, complemented
177#1875C2211yescharacteristic, complemented
178#1875C2211yescharacteristic, complemented
179#1875C2211yescharacteristic, complemented
180#1875C2211yescharacteristic, complemented
181#1874C2211yescharacteristic, complemented
182#1874C2211yescharacteristic, complemented
183#1874C2211yescharacteristic, complemented
184#1874C2211yescharacteristic, complemented
185#1835C2211yescharacteristic, complemented
186#1825C2211yescharacteristic, complemented
187#1825C2211yescharacteristic, complemented
188#1824C2211yescharacteristic, complemented
189#1823C2211yescharacteristic, complemented
190#1804C2211yescharacteristic, complemented
191#1804C2211yescharacteristic, complemented
192#1786C2211yescharacteristic, complemented
193#1786C2211yescharacteristic, complemented
194#1786C2211yescharacteristic, complemented
195#1786C2211yescharacteristic, complemented
196#1780C2211yescharacteristic, complemented
197#1780C2211yescharacteristic, complemented
198#1779C2211yescharacteristic, complemented
199#1779C2211yescharacteristic, complemented
200#1776C2211yescharacteristic, complemented
201C4×#102C2211yescharacteristic, complemented
202C4×#102C2211yescharacteristic, complemented
203C22×#41C2311yescharacteristic
204C23×D4—21no—
205C23×D4—21no—
206C23×D4—21no—
207C23×D4—21no—
208C23×D4C2311yescharacteristic
209C23×D4C2311yescharacteristic
210C23×D4C2311yescharacteristic
211C23×D4C2311yescharacteristic
212C24×C4C2311yescharacteristic
213C22×D8C2311yescharacteristic
214C22×D8C2311yescharacteristic
215C22×D8C2311yescharacteristic
216C22×D8C2311yescharacteristic
217C22×D8C2311yescharacteristic
218C22×D8C2311yescharacteristic
219C22×D8C2311yescharacteristic
220C22×D8C2311yescharacteristic
221C22×D8C2311yescharacteristic
222D42—42no—
223D42—42no—
224D42—42no—
225D42—42no—
226#535—42no—
227#535—42no—
228#535—42no—
229#535—42no—
230C2×#127—21no—
231C2×#127—21no—
232C2×#127—21no—
233C2×#127—21no—
234C2×#127C2311yescharacteristic
235C2×#127C2311yescharacteristic
236C2×#124—21no—
237C2×#124—21no—
238#525—42no—
239#525—42no—
240C2×#123D411yescharacteristic
241C2×#123D411yescharacteristic
242C2×C22⋊Q8D411yescharacteristic
243C2×C22⋊Q8D411yescharacteristic
244C2×#121—21no—
245C2×#121—21no—
246C2×#121—21no—
247C2×#121—21no—
248C2×#121—21no—
249C2×#121—21no—
250C2×#121—21no—
251C2×#121—21no—
252C2×#121—42no—
253C2×#121—42no—
254C2×#121—42no—
255C2×#121—42no—
256C2×#121D411yescharacteristic
257C2×#121D411yescharacteristic
258C2×#121C2311yescharacteristic
259C2×#121C2311yescharacteristic
260C2×#121C2311yescharacteristic
261C2×#121C2311yescharacteristic
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×#121C2311yescharacteristic
277C2×#121C2311yescharacteristic
278C2×#121C2311yescharacteristic
279C2×#121C2311yescharacteristic
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×#120—21no—
291C2×#120—21no—
292C2×#120—21no—
293C2×#120—21no—
294C2×#120D411yescharacteristic
295C2×#120D411yescharacteristic
296C2×C4×D4C2311yescharacteristic
297C2×C4×D4C2311yescharacteristic
298C2×C4×D4C2311yescharacteristic
299C2×C4×D4C2311yescharacteristic
300C2×C4×D4C2311yescharacteristic
301C2×C4×D4C2311yescharacteristic
302C2×#117C2311yescharacteristic
303C2×#117C2311yescharacteristic
304C2×#117C2311yescharacteristic
305C22×C4⋊C4C2311yescharacteristic
306C22×C4⋊C4C2311yescharacteristic
307C22×C22⋊C4—21no—
308C22×C22⋊C4—21no—
309#493—42no—
310#482—42no—
311#482—42no—
312#481—42no—
313#480—42no—
314#459—42no—
315#459—42no—
316#447—42no—
317#447—42no—
318#447—42no—
319#447—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#442—42no—
329#433—42no—
330#433—42no—
331C2×#107C2311yescharacteristic
332C2×#107C2311yescharacteristic
333C2×#107C2311yescharacteristic
334C2×#106C2311yescharacteristic
335C2×#106C2311yescharacteristic
336C2×#106C2311yescharacteristic
337C2×#106C2311yescharacteristic
338C2×C4⋊C8C2311yescharacteristic
339C2×C4⋊C8C2311yescharacteristic
340C2×C4⋊C8C2311yescharacteristic
341C2×C4⋊C8C2311yescharacteristic
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×#102C2311yescharacteristic
370C2×#102C2311yescharacteristic
371C2×#102C2311yescharacteristic
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×C22⋊C8C2311yescharacteristic
385C2×C22⋊C8C2311yescharacteristic
386C2×C22⋊C8C2311yescharacteristic
387C2×C22⋊C8C2311yescharacteristic
388C2×C22⋊C8C2311yescharacteristic
389C2×C22⋊C8C2311yescharacteristic
390C2×C22⋊C8C2311yescharacteristic
391C2×C22⋊C8C2311yescharacteristic
392C2×#97C2311yescharacteristic
393C2×#97C2311yescharacteristic
394C2×C4×C8C2311yescharacteristic
395C2×C4×C8C2311yescharacteristic
396#397—21no—
397#397—21no—
398#396—21no—
399#396—21no—
400#394—21no—
401#394—21no—
402#394—21no—
403#394—21no—
404#394—21no—
405#394—21no—
406#394—21no—
407#394—21no—
408#394—21no—
409#394—21no—
410#394—21no—
411#394—21no—
412#393—21no—
413#393—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#392—21no—
433#392—21no—
434#392—21no—
435#392—21no—
436#390—21no—
437#390—21no—
438#390—21no—
439#390—21no—
440#390—21no—
441#390—21no—
442#390C2311yescharacteristic
443#390C2311yescharacteristic
444#390C2311yescharacteristic
445#390C2311yescharacteristic
446#390C2311yescharacteristic
447#390C2311yescharacteristic
448#389C2311yescharacteristic
449#389C2311yescharacteristic
450#388—21no—
451#388—21no—
452#388—21no—
453#388—21no—
454#388—21no—
455#388—21no—
456#387—21no—
457#387—21no—
458#386—21no—
459#386—21no—
460#386—21no—
461#386—21no—
462#386—21no—
463#386—21no—
464#386—21no—
465#386—21no—
466#386—21no—
467#386—21no—
468#386—21no—
469#386—21no—
470#386—21no—
471#386—21no—
472#386—21no—
473#386—21no—
474#385—21no—
475#385—21no—
476#382C2311yescharacteristic
477#382C2311yescharacteristic
478#380C2311yescharacteristic
479#380C2311yescharacteristic
480#380C2311yescharacteristic
481#380C2311yescharacteristic
482#380C2311yescharacteristic
483#380C2311yescharacteristic
484#380C2311yescharacteristic
485#380C2311yescharacteristic
486#380C2311yescharacteristic
487#380C2311yescharacteristic
488#379—21no—
489#379—21no—
490#379—21no—
491#379—21no—
492C4×C4⋊C4C2311yescharacteristic
493C4×C4⋊C4C2311yescharacteristic
494C4×C22⋊C4—21no—
495C4×C22⋊C4—21no—
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#340C2311yescharacteristic
509#340C2311yescharacteristic
510#340C2311yescharacteristic
511#340C2311yescharacteristic
512#340C2311yescharacteristic
513#340C2311yescharacteristic
514C25—21no—
515C25—21no—
516C25—21no—
517C25—21no—
518C25C2×D411yescharacteristic
519C2×#41—41no—
520C2×#41—41no—
521C2×#41—41no—
522C2×#41—41no—
523C2×#41—41no—
524C2×#41—41no—
525C22×Q8C2×D411yescharacteristic
526C22×D4—21no—
527C22×D4—21no—
528C22×D4—22no—
529C22×D4—22no—
530C22×D4—22no—
531C22×D4—22no—
532C22×D4—21no—
533C22×D4—21no—
534C22×D4—21no—
535C22×D4—21no—
536C22×D4—21no—
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—41no—
561C22×D4—41no—
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—41no—
578C22×D4—41no—
579C22×D4—41no—
580C22×D4—44no—
581C22×D4—44no—
582C22×D4—44no—
583C22×D4—44no—
584C22×D4—82no—
585C22×D4—82no—
586C22×D4—82no—
587C22×D4—82no—
588C22×D4—82no—
589C22×D4—82no—
590C22×D4—82no—
591C22×D4—82no—
592C22×D4C2×D411yescharacteristic
593C22×D4C2×D411yescharacteristic
594C22×D4C2×D411yescharacteristic
595C22×D4C2×D411yescharacteristic
596C22×D4C2×D411yescharacteristic
597C22×D4C2×D411yescharacteristic
598C22×D4C2×D411yescharacteristic
599C22×D4C2411yescharacteristic
600C22×D4C2411yescharacteristic
601C22×D4C2411yescharacteristic
602C22×D4C2411yescharacteristic
603C22×D4C2411yescharacteristic
604C22×D4C2411yescharacteristic
605C23×C4—21no—
606C23×C4—21no—
607C23×C4—21no—
608C23×C4—21no—
609C23×C4—41no—
610C23×C4—41no—
611C23×C4—41no—
612C23×C4—41no—
613C23×C4—41no—
614C23×C4—41no—
615C23×C4C2×D411yescharacteristic
616C23×C4C2×D411yescharacteristic
617C23×C4C2×D411yescharacteristic
618C23×C4C2411yescharacteristic
619C23×C4C2411yescharacteristic
620C23×C4C2411yescharacteristic
621C23×C4C2411yescharacteristic
622C23×C4C2411yescharacteristic
623C2×D8—22no—
624C2×D8—22no—
625C2×D8—22no—
626C2×D8—22no—
627C2×D8—22no—
628C2×D8—22no—
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×D8—41no—
638C2×D8—41no—
639C2×D8—41no—
640C2×D8—41no—
641C2×D8—41no—
642C2×D8—41no—
643C2×D8—41no—
644C2×D8—41no—
645C2×D8—41no—
646C2×D8—41no—
647C2×D8—41no—
648C2×D8—41no—
649C2×D8—41no—
650C22×C8C2411yescharacteristic
651C22×C8C2411yescharacteristic
652C22×C8C2411yescharacteristic
653C22×C8C2411yescharacteristic
654C22×C8C2411yescharacteristic
655C22×C8C2411yescharacteristic
656C22×C8C2411yescharacteristic
657C22×C8C2411yescharacteristic
658#127—22no—
659#127—22no—
660#127—22no—
661#127—22no—
662#127—44no—
663#127—44no—
664#127—82no—
665#127—82no—
666#124—44no—
667#124—44no—
668#123—42no—
669#123—42no—
670C22⋊Q8—42no—
671C22⋊Q8—42no—
672#121—22no—
673#121—22no—
674#121—22no—
675#121—22no—
676#121—22no—
677#121—22no—
678#121—22no—
679#121—22no—
680#121—22no—
681#121—22no—
682#121—22no—
683#121—22no—
684#121—42no—
685#121—42no—
686#121—44no—
687#121—44no—
688#121—41no—
689#121—41no—
690#121—41no—
691#121—41no—
692#121—41no—
693#121—41no—
694#121—41no—
695#121—41no—
696#121—41no—
697#121—41no—
698#121—41no—
699#121—41no—
700#121—41no—
701#121—41no—
702#121—41no—
703#121—41no—
704#121—41no—
705#121—41no—
706#121—41no—
707#121—41no—
708#121—41no—
709#121—41no—
710#121—41no—
711#121—41no—
712#121—44no—
713#121—44no—
714#121—44no—
715#121—44no—
716#121—41no—
717#121—41no—
718#121—41no—
719#121—41no—
720#121—41no—
721#121—41no—
722#121—41no—
723#121—41no—
724#121—82no—
725#121—82no—
726#120—42no—
727#120—42no—
728#120—44no—
729#120—44no—
730#120—44no—
731#120—44no—
732#120—44no—
733#120—44no—
734#120—44no—
735#120—44no—
736#120—82no—
737#120—82no—
738#120—82no—
739#120—82no—
740#120—82no—
741#120—82no—
742C4×D4—22no—
743C4×D4—22no—
744C4×D4—22no—
745C4×D4—22no—
746C4×D4—22no—
747C4×D4—22no—
748C4×D4—22no—
749C4×D4—22no—
750C4×D4—41no—
751C4×D4—41no—
752C4×D4—41no—
753C4×D4—41no—
754#117—22no—
755#117—22no—
756#117—22no—
757#117—22no—
758#117—41no—
759#117—41no—
760C2×C4⋊C4—22no—
761C2×C4⋊C4—22no—
762C2×C4⋊C4—21no—
763C2×C4⋊C4—21no—
764C2×C4⋊C4—21no—
765C2×C4⋊C4—21no—
766C2×C4⋊C4—41no—
767C2×C4⋊C4—41no—
768C2×C4⋊C4C2×D411yescharacteristic
769C2×C4⋊C4C2×D411yescharacteristic
770C2×C4⋊C4C2×D411yescharacteristic
771C2×C4⋊C4C2×D411yescharacteristic
772C2×C4⋊C4C2×D411yescharacteristic
773C2×C4⋊C4C2×D411yescharacteristic
774C2×C4⋊C4C2411yescharacteristic
775C2×C4⋊C4C2411yescharacteristic
776C2×C4⋊C4C2411yescharacteristic
777C2×C4⋊C4C2411yescharacteristic
778C2×C4⋊C4C2411yescharacteristic
779C2×C4⋊C4C2411yescharacteristic
780C2×C4⋊C4C2411yescharacteristic
781C2×C4⋊C4C2411yescharacteristic
782C2×C4⋊C4C2411yescharacteristic
783C2×C4⋊C4C2411yescharacteristic
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—21no—
825C2×C22⋊C4—21no—
826C2×C22⋊C4—21no—
827C2×C22⋊C4—21no—
828C2×C22⋊C4—21no—
829C2×C22⋊C4—21no—
830C2×C22⋊C4—21no—
831C2×C22⋊C4—21no—
832C2×C22⋊C4—44no—
833C2×C22⋊C4—44no—
834C2×C22⋊C4C2×D411yescharacteristic
835C2×C22⋊C4C2×D411yescharacteristic
836C2×C22⋊C4C2×D411yescharacteristic
837C2×C22⋊C4C2×D411yescharacteristic
838C2×C22⋊C4C2×D411yescharacteristic
839C2×C22⋊C4C2×D411yescharacteristic
840C2×C22⋊C4C2×D411yescharacteristic
841C2×C22⋊C4C2×D411yescharacteristic
842C2×C22⋊C4C2×D411yescharacteristic
843C2×C22⋊C4C2×D411yescharacteristic
844C2×C42—21no—
845C2×C42—21no—
846C2×C42—21no—
847C2×C42—21no—
848C2×C42C2411yescharacteristic
849C2×C42C2411yescharacteristic
850#107—22no—
851#107—41no—
852#107—41no—
853#106—22no—
854#106—41no—
855#106—41no—
856#106—41no—
857C4⋊C8—22no—
858C4⋊C8—22no—
859C4⋊C8—41no—
860C4⋊C8—41no—
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—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—
879#102—41no—
880#102—41no—
881#102—41no—
882#102—41no—
883#102—41no—
884#102—41no—
885#102—41no—
886#102—41no—
887#102—41no—
888#102—41no—
889#102—41no—
890#102—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—
900C22⋊C8—41no—
901C22⋊C8—41no—
902C22⋊C8—41no—
903C22⋊C8—41no—
904C22⋊C8—41no—
905C22⋊C8—41no—
906C22⋊C8—41no—
907C22⋊C8—41no—
908C22⋊C8—41no—
909C22⋊C8—41no—
910C22⋊C8—41no—
911#97—22no—
912#97—41no—
913C4×C8—22no—
914C4×C8—41no—
915#95—21no—
916#95—21no—
917#95—21no—
918#95—21no—
919#95—21no—
920#95—21no—
921#95—21no—
922#95—21no—
923#95—21no—
924#95—21no—
925#95—21no—
926#95—21no—
927#95—21no—
928#95—21no—
929#95—21no—
930#95—21no—
931#95—21no—
932#95—21no—
933C24—21no—
934C24—21no—
935C24—22no—
936C24—22no—
937C24—21no—
938C24—21no—
939C24—21no—
940C24—21no—
941C24—41no—
942C24—41no—
943C24—41no—
944C24—41no—
945C24—41no—
946C24—42no—
947C24—42no—
948C24—42no—
949C24—42no—
950C24—42no—
951C24—42no—
952C24—42no—
953C24—42no—
954C24—42no—
955C24—42no—
956C24—42no—
957C24—42no—
958C24—81no—
959C24—81no—
960C24—81no—
961C24—81no—
962C24—81no—
963C24—81no—
964C24—81no—
965C24—81no—
966C24—81no—
967C24—81no—
968C24—81no—
969C24—81no—
970C24—81no—
971C24—81no—
972C24—81no—
973C24—81no—
974C24C22×D411yescharacteristic
975C24C22×D411yescharacteristic
976C24C22×D411yescharacteristic
977C24C22×D411yescharacteristic
978C24C22×D411yescharacteristic
979#41—82no—
980#41—82no—
981#41—82no—
982#41—82no—
983C2×Q8—41no—
984C2×Q8—41no—
985C2×Q8—41no—
986C2×D4—22no—
987C2×D4—22no—
988C2×D4—24no—
989C2×D4—24no—
990C2×D4—22no—
991C2×D4—22no—
992C2×D4—22no—
993C2×D4—22no—
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—21no—
1012C2×D4—21no—
1013C2×D4—21no—
1014C2×D4—21no—
1015C2×D4—21no—
1016C2×D4—21no—
1017C2×D4—21no—
1018C2×D4—21no—
1019C2×D4—21no—
1020C2×D4—21no—
1021C2×D4—21no—
1022C2×D4—21no—
1023C2×D4—21no—
1024C2×D4—21no—
1025C2×D4—21no—
1026C2×D4—21no—
1027C2×D4—21no—
1028C2×D4—41no—
1029C2×D4—41no—
1030C2×D4—41no—
1031C2×D4—41no—
1032C2×D4—41no—
1033C2×D4—41no—
1034C2×D4—41no—
1035C2×D4—41no—
1036C2×D4—41no—
1037C2×D4—41no—
1038C2×D4—41no—
1039C2×D4—41no—
1040C2×D4—41no—
1041C2×D4—41no—
1042C2×D4—41no—
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—42no—
1053C2×D4—42no—
1054C2×D4—42no—
1055C2×D4—42no—
1056C2×D4—42no—
1057C2×D4—42no—
1058C2×D4—42no—
1059C2×D4—42no—
1060C2×D4—42no—
1061C2×D4—42no—
1062C2×D4—42no—
1063C2×D4—42no—
1064C2×D4—42no—
1065C2×D4—42no—
1066C2×D4—42no—
1067C2×D4—42no—
1068C2×D4—42no—
1069C2×D4—42no—
1070C2×D4—42no—
1071C2×D4—42no—
1072C2×D4—42no—
1073C2×D4—42no—
1074C2×D4—42no—
1075C2×D4—42no—
1076C2×D4—42no—
1077C2×D4—42no—
1078C2×D4—42no—
1079C2×D4—42no—
1080C2×D4—42no—
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—82no—
1094C2×D4—82no—
1095C2×D4—82no—
1096C2×D4—82no—
1097C2×D4—82no—
1098C2×D4—82no—
1099C2×D4—82no—
1100C2×D4—82no—
1101C2×D4—82no—
1102C2×D4—82no—
1103C2×D4—82no—
1104C2×D4—82no—
1105C2×D4—82no—
1106C2×D4—82no—
1107C2×D4—82no—
1108C2×D4—82no—
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—81no—
1119C2×D4—81no—
1120C2×D4—81no—
1121C2×D4—81no—
1122C2×D4—81no—
1123C2×D4—81no—
1124C2×D4—81no—
1125C2×D4—81no—
1126C2×D4—81no—
1127C2×D4—81no—
1128C2×D4—81no—
1129C2×D4—81no—
1130C2×D4—81no—
1131C2×D4—81no—
1132C2×D4—81no—
1133C2×D4—81no—
1134C2×D4—81no—
1135C2×D4—81no—
1136C2×D4—81no—
1137C2×D4—81no—
1138C2×D4—81no—
1139C2×D4—81no—
1140C2×D4—81no—
1141C2×D4—81no—
1142C2×D4—81no—
1143C2×D4—81no—
1144C2×D4—81no—
1145C2×D4—81no—
1146C2×D4—81no—
1147C2×D4—816no—
1148C2×D4—816no—
1149C2×D4—816no—
1150C2×D4—816no—
1151C2×D4H(5,𝔽2)12yes—
1152C2×D4H(5,𝔽2)12yes—
1153C22×C4—21no—
1154C22×C4—21no—
1155C22×C4—21no—
1156C22×C4—21no—
1157C22×C4—21no—
1158C22×C4—21no—
1159C22×C4—21no—
1160C22×C4—21no—
1161C22×C4—21no—
1162C22×C4—21no—
1163C22×C4—21no—
1164C22×C4—21no—
1165C22×C4—21no—
1166C22×C4—21no—
1167C22×C4—21no—
1168C22×C4—21no—
1169C22×C4—21no—
1170C22×C4—21no—
1171C22×C4—21no—
1172C22×C4—21no—
1173C22×C4—21no—
1174C22×C4—21no—
1175C22×C4—21no—
1176C22×C4—21no—
1177C22×C4—21no—
1178C22×C4—21no—
1179C22×C4—21no—
1180C22×C4—21no—
1181C22×C4—21no—
1182C22×C4—21no—
1183C22×C4—21no—
1184C22×C4—21no—
1185C22×C4—21no—
1186C22×C4—21no—
1187C22×C4—21no—
1188C22×C4—21no—
1189C22×C4—21no—
1190C22×C4—21no—
1191C22×C4—21no—
1192C22×C4—21no—
1193C22×C4—41no—
1194C22×C4—41no—
1195C22×C4—41no—
1196C22×C4—41no—
1197C22×C4—41no—
1198C22×C4—41no—
1199C22×C4—41no—
1200C22×C4—41no—
1201C22×C4—41no—
1202C22×C4—42no—
1203C22×C4—42no—
1204C22×C4—42no—
1205C22×C4—42no—
1206C22×C4—42no—
1207C22×C4—42no—
1208C22×C4—81no—
1209C22×C4—81no—
1210C22×C4—81no—
1211C22×C4—81no—
1212C22×C4—82no—
1213C22×C4—82no—
1214C22×C4—82no—
1215C22×C4—82no—
1216C22×C4—81no—
1217C22×C4—81no—
1218C22×C4C22×D411yescharacteristic
1219C22×C4C22×D411yescharacteristic
1220C22×C4C22×D411yescharacteristic
1221C22×C4C22×D411yescharacteristic
1222C22×C4C22×D411yescharacteristic
1223C22×C4C22×D411yescharacteristic
1224C22×C4C22×D411yescharacteristic
1225C22×C4C22×D411yescharacteristic
1226C22×C4C22×D411yescharacteristic
1227C22×C4C2511yescharacteristic
1228D8—44no—
1229D8—82no—
1230D8—82no—
1231D8—82no—
1232D8—82no—
1233D8—82no—
1234D8—82no—
1235D8—82no—
1236D8—82no—
1237C2×C8—21no—
1238C2×C8—21no—
1239C2×C8—21no—
1240C2×C8—21no—
1241C2×C8—21no—
1242C2×C8—21no—
1243C2×C8—21no—
1244C2×C8—21no—
1245C2×C8—21no—
1246C2×C8—21no—
1247C2×C8—21no—
1248C2×C8—21no—
1249C2×C8—21no—
1250C2×C8—21no—
1251C2×C8—21no—
1252C2×C8—21no—
1253C2×C8—21no—
1254C2×C8—21no—
1255C2×C8—21no—
1256C2×C8—21no—
1257C2×C8—21no—
1258C2×C8—21no—
1259C2×C8—21no—
1260C2×C8—21no—
1261C4⋊C4—22no—
1262C4⋊C4—22no—
1263C4⋊C4—22no—
1264C4⋊C4—22no—
1265C4⋊C4—21no—
1266C4⋊C4—21no—
1267C4⋊C4—21no—
1268C4⋊C4—21no—
1269C4⋊C4—21no—
1270C4⋊C4—21no—
1271C4⋊C4—21no—
1272C4⋊C4—21no—
1273C4⋊C4—21no—
1274C4⋊C4—21no—
1275C4⋊C4—21no—
1276C4⋊C4—21no—
1277C4⋊C4—21no—
1278C4⋊C4—21no—
1279C4⋊C4—21no—
1280C4⋊C4—21no—
1281C4⋊C4—21no—
1282C4⋊C4—21no—
1283C4⋊C4—41no—
1284C4⋊C4—41no—
1285C4⋊C4—42no—
1286C4⋊C4—42no—
1287C4⋊C4—81no—
1288C4⋊C4—81no—
1289C4⋊C4H(5,𝔽2)12yes—
1290C4⋊C4H(5,𝔽2)12yes—
1291C22⋊C4—24no—
1292C22⋊C4—24no—
1293C22⋊C4—22no—
1294C22⋊C4—22no—
1295C22⋊C4—22no—
1296C22⋊C4—22no—
1297C22⋊C4—22no—
1298C22⋊C4—22no—
1299C22⋊C4—41no—
1300C22⋊C4—41no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
1303C22⋊C4—42no—
1304C22⋊C4—42no—
1305C22⋊C4—42no—
1306C22⋊C4—42no—
1307C22⋊C4—42no—
1308C22⋊C4—42no—
1309C22⋊C4—42no—
1310C22⋊C4—42no—
1311C22⋊C4—42no—
1312C22⋊C4—42no—
1313C22⋊C4—42no—
1314C22⋊C4—42no—
1315C22⋊C4—42no—
1316C22⋊C4—42no—
1317C22⋊C4—42no—
1318C22⋊C4—42no—
1319C22⋊C4—42no—
1320C22⋊C4—42no—
1321C22⋊C4—42no—
1322C22⋊C4—42no—
1323C22⋊C4—42no—
1324C22⋊C4—42no—
1325C22⋊C4—81no—
1326C22⋊C4—81no—
1327C22⋊C4—81no—
1328C22⋊C4—81no—
1329C22⋊C4—81no—
1330C22⋊C4—81no—
1331C22⋊C4—81no—
1332C22⋊C4—81no—
1333C22⋊C4—81no—
1334C22⋊C4—81no—
1335C22⋊C4—81no—
1336C22⋊C4—81no—
1337C22⋊C4—81no—
1338C22⋊C4—81no—
1339C22⋊C4—81no—
1340C22⋊C4—81no—
1341C22⋊C4—81no—
1342C22⋊C4—81no—
1343C22⋊C4—81no—
1344C22⋊C4—81no—
1345C22⋊C4—81no—
1346C22⋊C4—81no—
1347C22⋊C4—81no—
1348C22⋊C4—81no—
1349C42—21no—
1350C42—21no—
1351C42—42no—
1352C42—42no—
1353C42—81no—
1354C42—81no—
1355C42H(5,𝔽2)12yes—
1356C42H(5,𝔽2)12yes—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—22no—
1379C23—22no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—44no—
1393C23—44no—
1394C23—41no—
1395C23—41no—
1396C23—41no—
1397C23—41no—
1398C23—41no—
1399C23—41no—
1400C23—41no—
1401C23—41no—
1402C23—41no—
1403C23—41no—
1404C23—41no—
1405C23—41no—
1406C23—41no—
1407C23—41no—
1408C23—41no—
1409C23—41no—
1410C23—41no—
1411C23—41no—
1412C23—41no—
1413C23—41no—
1414C23—41no—
1415C23—41no—
1416C23—41no—
1417C23—41no—
1418C23—41no—
1419C23—41no—
1420C23—41no—
1421C23—41no—
1422C23—41no—
1423C23—41no—
1424C23—41no—
1425C23—41no—
1426C23—41no—
1427C23—41no—
1428C23—41no—
1429C23—41no—
1430C23—41no—
1431C23—41no—
1432C23—41no—
1433C23—41no—
1434C23—82no—
1435C23—82no—
1436C23—82no—
1437C23—84no—
1438C23—84no—
1439C23—84no—
1440C23—84no—
1441C23—82no—
1442C23—82no—
1443C23—84no—
1444C23—84no—
1445C23—84no—
1446C23—84no—
1447C23—84no—
1448C23—84no—
1449C23—84no—
1450C23—84no—
1451C23—162no—
1452C23—162no—
1453C23—162no—
1454C23—162no—
1455C23—162no—
1456C23—162no—
1457C23—162no—
1458C23—162no—
1459C23—162no—
1460C23—162no—
1461C23—162no—
1462C23—162no—
1463C23—162no—
1464C23—162no—
1465C23—162no—
1466C23—162no—
1467C23#57612yes—
1468C23#57612yes—
1469C23C23×D411yescharacteristic
1470Q8—82no—
1471D4—22no—
1472D4—22no—
1473D4—22no—
1474D4—22no—
1475D4—44no—
1476D4—44no—
1477D4—41no—
1478D4—41no—
1479D4—41no—
1480D4—41no—
1481D4—41no—
1482D4—41no—
1483D4—41no—
1484D4—41no—
1485D4—41no—
1486D4—41no—
1487D4—41no—
1488D4—41no—
1489D4—41no—
1490D4—41no—
1491D4—41no—
1492D4—41no—
1493D4—41no—
1494D4—41no—
1495D4—41no—
1496D4—41no—
1497D4—84no—
1498D4—84no—
1499D4—82no—
1500D4—82no—
1501D4—84no—
1502D4—84no—
1503D4—84no—
1504D4—84no—
1505D4—82no—
1506D4—82no—
1507D4—82no—
1508D4—84no—
1509D4—84no—
1510D4—84no—
1511D4—84no—
1512D4—84no—
1513D4—84no—
1514D4—84no—
1515D4—84no—
1516D4—84no—
1517D4—84no—
1518D4—84no—
1519D4—84no—
1520D4—162no—
1521D4—162no—
1522D4—162no—
1523D4—162no—
1524D4—162no—
1525D4—162no—
1526D4—162no—
1527D4—162no—
1528D4—162no—
1529D4—162no—
1530D4—162no—
1531D4—162no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—41no—
1560C2×C4—41no—
1561C2×C4—41no—
1562C2×C4—41no—
1563C2×C4—41no—
1564C2×C4—41no—
1565C2×C4—41no—
1566C2×C4—41no—
1567C2×C4—41no—
1568C2×C4—41no—
1569C2×C4—41no—
1570C2×C4—41no—
1571C2×C4—41no—
1572C2×C4—41no—
1573C2×C4—41no—
1574C2×C4—41no—
1575C2×C4—41no—
1576C2×C4—41no—
1577C2×C4—41no—
1578C2×C4—41no—
1579C2×C4—41no—
1580C2×C4—41no—
1581C2×C4—41no—
1582C2×C4—41no—
1583C2×C4—41no—
1584C2×C4—41no—
1585C2×C4—41no—
1586C2×C4—41no—
1587C2×C4—41no—
1588C2×C4—41no—
1589C2×C4—41no—
1590C2×C4—41no—
1591C2×C4—41no—
1592C2×C4—41no—
1593C2×C4—41no—
1594C2×C4—41no—
1595C2×C4—41no—
1596C2×C4—41no—
1597C2×C4—41no—
1598C2×C4—41no—
1599C2×C4—41no—
1600C2×C4—41no—
1601C2×C4—41no—
1602C2×C4—41no—
1603C2×C4—41no—
1604C2×C4—41no—
1605C2×C4—41no—
1606C2×C4—41no—
1607C2×C4—84no—
1608C2×C4—84no—
1609C2×C4—82no—
1610C2×C4—82no—
1611C2×C4—82no—
1612C2×C4—84no—
1613C2×C4—84no—
1614C2×C4#53412yes—
1615C2×C4#53412yes—
1616C2×C4C2×H(5,𝔽2)11yescharacteristic
1617C2×C4C2×H(5,𝔽2)11yescharacteristic
1618C2×C4C2×H(5,𝔽2)11yescharacteristic
1619C2×C4C2×H(5,𝔽2)11yescharacteristic
1620C2×C4C2×H(5,𝔽2)11yescharacteristic
1621C2×C4C2×H(5,𝔽2)11yescharacteristic
1622C8—41no—
1623C8—41no—
1624C8—41no—
1625C8—41no—
1626C8—41no—
1627C8—41no—
1628C8—41no—
1629C8—41no—
1630C22—22no—
1631C22—22no—
1632C22—22no—
1633C22—22no—
1634C22—22no—
1635C22—22no—
1636C22—41no—
1637C22—41no—
1638C22—41no—
1639C22—41no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—42no—
1652C22—41no—
1653C22—41no—
1654C22—41no—
1655C22—41no—
1656C22—41no—
1657C22—42no—
1658C22—41no—
1659C22—42no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—42no—
1665C22—41no—
1666C22—41no—
1667C22—41no—
1668C22—41no—
1669C22—42no—
1670C22—42no—
1671C22—88no—
1672C22—81no—
1673C22—81no—
1674C22—81no—
1675C22—81no—
1676C22—81no—
1677C22—81no—
1678C22—81no—
1679C22—81no—
1680C22—81no—
1681C22—81no—
1682C22—81no—
1683C22—81no—
1684C22—81no—
1685C22—81no—
1686C22—81no—
1687C22—81no—
1688C22—81no—
1689C22—81no—
1690C22—81no—
1691C22—81no—
1692C22—81no—
1693C22—81no—
1694C22—81no—
1695C22—81no—
1696C22—81no—
1697C22—81no—
1698C22—81no—
1699C22—81no—
1700C22—81no—
1701C22—81no—
1702C22—81no—
1703C22—81no—
1704C22—81no—
1705C22—81no—
1706C22—81no—
1707C22—81no—
1708C22—168no—
1709C22—168no—
1710C22—168no—
1711C22—168no—
1712C22C2×#53411yescharacteristic
1713C22#348411yescharacteristic
1714C22#348411yescharacteristic
1715C22C2×#57611yescharacteristic
1716C22C2×#57611yescharacteristic
1717C22#358511yescharacteristic
1718C22#358511yescharacteristic
1719C4—22no—
1720C4—22no—
1721C4—41no—
1722C4—41no—
1723C4—42no—
1724C4—42no—
1725C4—41no—
1726C4—41no—
1727C4—41no—
1728C4—41no—
1729C4—41no—
1730C4—81no—
1731C4—81no—
1732C4—81no—
1733C4—81no—
1734C4—81no—
1735C4—81no—
1736C4—81no—
1737C4—81no—
1738C4#353711yescharacteristic
1739C4#354311yescharacteristic
1740C4#354311yescharacteristic
1741C4#354911yescharacteristic
1742C2—42no—
1743C2—42no—
1744C2—81no—
1745C2—81no—
1746C2—81no—
1747C2—82no—
1748C2—82no—
1749C2—161no—
1750C2—161no—
1751C2—161no—
1752C2—161no—
1753C2#4247511yescharacteristic
1754C2#6075611yescharacteristic
1755C2#6075611yescharacteristic
1756C2#6160911yescharacteristic
1757C2#6161711yescharacteristic
1758C2#6163011yescharacteristic
1759C2#6165311yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C2×#525 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #37650C2semidirect
2. #37650C2semidirect
3. #32712C2semidirect
4. #32707C2semidirect
5. #31728C2semidirect
6. #31727C2semidirect
7. #31064C2semidirect
8. #31056C2semidirect
9. #31036C2semidirect
10. #31032C2semidirect
11. #31020C2semidirect
12. #31016C2semidirect
13. #29810C2semidirect
14. #29602C2semidirect
15. #29602C2semidirect
16. #29594C2semidirect
17. #29592C2semidirect
18. #26248C2semidirect
19. #26246C2semidirect
20. #25757C2semidirect
21. #25757C2semidirect
22. #24974C2semidirect
23. #24973C2semidirect
24. #24662C2semidirect
25. #24662C2semidirect
26. #24248C2semidirect
27. #24248C2semidirect
28. #23925C2semidirect
29. #23918C2semidirect
30. #23712C2semidirect
31. #21792C2semidirect
32. C2×D42C22semidirect
33. C2×D42C22semidirect
34. C2×#535C22semidirect
35. C2×#535C22semidirect
37. C22×#121C22semidirect
38. C22×#121C22semidirect
39. C2×#493C22semidirect
40. C2×#481C22semidirect
41. C2×#482C22semidirect
42. C2×#482C22semidirect
43. C2×#480C22semidirect
44. C2×#459C22semidirect
45. C2×#459C22semidirect
48. C2×#447C22semidirect
49. C2×#447C22semidirect
50. C2×#447C22semidirect
51. C2×#447C22semidirect
52. C2×#447C22semidirect
53. C2×#447C22semidirect
54. C2×#447C22semidirect
55. C2×#447C22semidirect
56. C2×#447C22semidirect
57. C2×#447C22semidirect
58. C2×#442C22semidirect
59. C2×#433C22semidirect
60. C2×#433C22semidirect
61. #2847C22semidirect
62. #2847C22semidirect
71. #2619C22semidirect
72. #2619C22semidirect
73. #2615C22semidirect
74. #2615C22semidirect
83. #2416C22semidirect
84. #2416C22semidirect
85. #2414C22semidirect
86. #2414C22semidirect
89. #2408C22semidirect
90. #2408C22semidirect
91. #2408C22semidirect
92. #2408C22semidirect
95. #2352C22semidirect
96. #2352C22semidirect
97. #2324C22semidirect
98. #2324C22semidirect
99. #2088C22semidirect
100. #2077C22semidirect
101. #2077C22semidirect
102. #2077C22semidirect
103. #2076C22semidirect
104. #2075C22semidirect
105. #2067C22semidirect
106. #2065C22semidirect
107. #2054C22semidirect
108. #2054C22semidirect
109. #2054C22semidirect
110. #2054C22semidirect
111. #2054C22semidirect
112. #2034C22semidirect
113. #2034C22semidirect
114. #2034C22semidirect
115. #2034C22semidirect
116. #2034C22semidirect
117. #2034C22semidirect
118. #2034C22semidirect
119. #2034C22semidirect
120. #2034C22semidirect
121. #2034C22semidirect
122. #2034C22semidirect
123. #2034C22semidirect
124. #2034C22semidirect
125. #2033C22semidirect
126. #2033C22semidirect
127. #2033C22semidirect
128. #2033C22semidirect
129. #2033C22semidirect
130. #2033C22semidirect
131. #2033C22semidirect
132. #2033C22semidirect
133. #2033C22semidirect
137. #1999C22semidirect
138. #1999C22semidirect
139. #1999C22semidirect
140. #1999C22semidirect
141. #1999C22semidirect
142. #1999C22semidirect
143. #1999C22semidirect
144. #1999C22semidirect
145. #1999C22semidirect
146. #1999C22semidirect
147. #1999C22semidirect
148. #1999C22semidirect
149. #1999C22semidirect
150. #1999C22semidirect
151. #1999C22semidirect
152. #1999C22semidirect
153. #1999C22semidirect
154. #1999C22semidirect
155. #1982C22semidirect
156. #1982C22semidirect
157. #1972C22semidirect
158. #1972C22semidirect
159. #1970C22semidirect
160. #1970C22semidirect
161. #1961C22semidirect
162. #1961C22semidirect
163. #1955C22semidirect
164. #1955C22semidirect
165. #1955C22semidirect
166. #1955C22semidirect
167. #1954C22semidirect
168. #1954C22semidirect
169. #1954C22semidirect
170. #1954C22semidirect
171. #1949C22semidirect
172. #1949C22semidirect
173. #1936C22semidirect
174. #1936C22semidirect
175. #1934C22semidirect
176. #1934C22semidirect
177. #1875C22semidirect
178. #1875C22semidirect
179. #1875C22semidirect
180. #1875C22semidirect
181. #1874C22semidirect
182. #1874C22semidirect
183. #1874C22semidirect
184. #1874C22semidirect
185. #1835C22semidirect
186. #1825C22semidirect
187. #1825C22semidirect
188. #1824C22semidirect
189. #1823C22semidirect
190. #1804C22semidirect
191. #1804C22semidirect
192. #1786C22semidirect
193. #1786C22semidirect
194. #1786C22semidirect
195. #1786C22semidirect
196. #1780C22semidirect
197. #1780C22semidirect
198. #1779C22semidirect
199. #1779C22semidirect
200. #1776C22semidirect
201. C4×#102C22semidirect
202. C4×#102C22semidirect

Maximal subgroups

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

subgroupindex
#376502
#327122
#327072
#317282
#317272
#310642
#310562
#310362
#310322
#310202
#310162
#298102
#296022
#295942
#295922
#262482
#262462
#257572
#249742
#249732
#246622
#242482
#239252
#239182
#237122
#217922