Finite Group Databasebeta

← #7551040

Subgroups — #7551040

Order 512.

2309 conjugacy classes of subgroups.

The subgroup lattice has 1618 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3264C211yesmaximal, characteristic, complemented
2C2×#3174C211yesmaximal, characteristic, complemented
3#45187C211yesmaximal, characteristic, complemented
4#44872C211yesmaximal, characteristic, complemented
5#30895C211yesmaximal, characteristic, complemented
6#30890C211yesmaximal, characteristic, complemented
7#30548C211yesmaximal, characteristic, complemented
8#30539C211yesmaximal, characteristic, complemented
9#28480C211yesmaximal, characteristic, complemented
10#27805C211yesmaximal, characteristic, complemented
11#26612C211yesmaximal, characteristic, complemented
12#26602C211yesmaximal, characteristic, complemented
13#26492C211yesmaximal, characteristic, complemented
14#26257C211yesmaximal, characteristic, complemented
15#25791C211yesmaximal, characteristic, complemented
16#25788C211yesmaximal, characteristic, complemented
17#25416C211yesmaximal, characteristic, complemented
18#25179C211yesmaximal, characteristic, complemented
19#25164C211yesmaximal, characteristic, complemented
20#25101C211yesmaximal, characteristic, complemented
21#25093C211yesmaximal, characteristic, complemented
22#24786C211yesmaximal, characteristic, complemented
23#24450C211yesmaximal, characteristic, complemented
24#24448C211yesmaximal, characteristic, complemented
25#23942C211yesmaximal, characteristic, complemented
26#23939C211yesmaximal, characteristic, complemented
27#23193C211yesmaximal, characteristic, complemented
28#23033C211yesmaximal, characteristic, complemented
29#22443C211yesmaximal, characteristic, complemented
30#21569C211yesmaximal, characteristic, complemented
31#21233C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic
33C23×D8C2211yescharacteristic
34C2×#546C2211yescharacteristic
35C2×D42C2211yescharacteristic
36C2×#541C2211yescharacteristic, complemented
37C2×#540C2211yescharacteristic
38#3264—28no—
39#3174—28no—
40C2×#499C2211yescharacteristic, complemented
41C2×#496C2211yescharacteristic
42C2×#496C2211yescharacteristic
43C2×#496C2211yescharacteristic, complemented
44C2×#492C2211yescharacteristic, complemented
45C2×#491C2211yescharacteristic, complemented
46C2×#490C2211yescharacteristic, complemented
47C2×#469C2211yescharacteristic
48C2×#468C2211yescharacteristic
49C2×#468C2211yescharacteristic, complemented
50C2×#468C2211yescharacteristic, complemented
51C2×#465C2211yescharacteristic
52C2×#465C2211yescharacteristic, complemented
53C2×#460C2211yescharacteristic, complemented
54C2×#463C2211yescharacteristic
55C2×#463C2211yescharacteristic, complemented
56C2×#459C2211yescharacteristic
57C2×#449C2211yescharacteristic
58C2×#449C2211yescharacteristic, complemented
59C2×#450C2211yescharacteristic
60C2×#450C2211yescharacteristic
61C2×#450C2211yescharacteristic, complemented
62C2×#447C2211yescharacteristic
63C2×#447C2211yescharacteristic
64C2×#447C2211yescharacteristic, complemented
65C2×#442C2211yescharacteristic
66C2×#440C2211yescharacteristic, complemented
67C2×#440C2211yescharacteristic, complemented
68C2×#440C2211yescharacteristic, complemented
69C2×C4×SD16C2211yescharacteristic, complemented
70C2×C4×SD16C2211yescharacteristic, complemented
71C2×#435C2211yescharacteristic
72C2×#427C2211yescharacteristic, complemented
73C2×#418C2211yescharacteristic
74C2×#418C2211yescharacteristic, complemented
75C2×#405C2211yescharacteristic, complemented
76#2711—21no—
77#2703—21no—
78#2694—21no—
79#2685—21no—
80#2685—21no—
81#2678—21no—
82#2678—21no—
83#2668—21no—
84#2558—21no—
85#2545C2211yescharacteristic, complemented
86#2541C2211yescharacteristic, complemented
87#2539—21no—
88#2490—21no—
89#2490C2211yescharacteristic, complemented
90#2490C2211yescharacteristic, complemented
91#2480—21no—
92#2480—21no—
93#2464—21no—
94#2454C2211yescharacteristic, complemented
95#2454C2211yescharacteristic, complemented
96#2448C2211yescharacteristic, complemented
97#2445C2211yescharacteristic, complemented
98#2435C2211yescharacteristic, complemented
99#2433C2211yescharacteristic
100#2433C2211yescharacteristic, complemented
101#2432C2211yescharacteristic, complemented
102#2428C2211yescharacteristic, complemented
103#2426C2211yescharacteristic, complemented
104#2415C2211yescharacteristic
105#2414C2211yescharacteristic
106#2410—21no—
107#2408—21no—
108#2395C2211yescharacteristic
109#2367C2211yescharacteristic, complemented
110#2366C2211yescharacteristic, complemented
111#2363C2211yescharacteristic
112#2362C2211yescharacteristic, complemented
113#2341C2211yescharacteristic, complemented
114D4×C22⋊C4C2211yescharacteristic, complemented
115#2309C2211yescharacteristic
116#2309C2211yescharacteristic, complemented
117#2067C2211yescharacteristic, complemented
118#2067C2211yescharacteristic, complemented
119#2066C2211yescharacteristic, complemented
120#2065C2211yescharacteristic, complemented
121#2055C2211yescharacteristic, complemented
122#2054C2211yescharacteristic, complemented
123#2042C2211yescharacteristic, complemented
124#2042C2211yescharacteristic, complemented
125#2041C2211yescharacteristic, complemented
126#2041C2211yescharacteristic, complemented
127#2035C2211yescharacteristic, complemented
128#2034C2211yescharacteristic, complemented
129#2033C2211yescharacteristic, complemented
130#2033C2211yescharacteristic, complemented
131#2025C2211yescharacteristic, complemented
132#2025C2211yescharacteristic, complemented
133#2025C2211yescharacteristic, complemented
134#2025C2211yescharacteristic, complemented
135#2014C2211yescharacteristic, complemented
136#2014C2211yescharacteristic, complemented
137#2013C2211yescharacteristic, complemented
138#2013C2211yescharacteristic, complemented
139#2012C2211yescharacteristic
140#2012C2211yescharacteristic, complemented
141#2012C2211yescharacteristic, complemented
142#2012C2211yescharacteristic, complemented
143#2011C2211yescharacteristic
144#2011C2211yescharacteristic, complemented
145#2011C2211yescharacteristic, complemented
146#2011C2211yescharacteristic, complemented
147#2000C2211yescharacteristic, complemented
148#1999C2211yescharacteristic, complemented
149#1983C2211yescharacteristic, complemented
150#1982C2211yescharacteristic, complemented
151#1973C2211yescharacteristic, complemented
152#1973C2211yescharacteristic, complemented
153#1972C2211yescharacteristic
154#1972C2211yescharacteristic
155#1972C2211yescharacteristic
156#1972C2211yescharacteristic, complemented
157#1972C2211yescharacteristic, complemented
158#1972C2211yescharacteristic, complemented
159#1970C2211yescharacteristic
160#1970C2211yescharacteristic
161#1970C2211yescharacteristic, complemented
162#1970C2211yescharacteristic, complemented
163#1944C2211yescharacteristic, complemented
164#1943C2211yescharacteristic, complemented
165#1927C2211yescharacteristic, complemented
166#1926C2211yescharacteristic, complemented
167#1925C2211yescharacteristic, complemented
168#1925C2211yescharacteristic, complemented
169#1924C2211yescharacteristic, complemented
170#1924C2211yescharacteristic, complemented
171#1917C2211yescharacteristic, complemented
172#1917C2211yescharacteristic, complemented
173#1880C2211yescharacteristic, complemented
174#1880C2211yescharacteristic, complemented
175#1880C2211yescharacteristic, complemented
176#1880C2211yescharacteristic, complemented
177#1880C2211yescharacteristic, complemented
178#1879C2211yescharacteristic, complemented
179#1879C2211yescharacteristic, complemented
180#1879C2211yescharacteristic, complemented
181#1879C2211yescharacteristic, complemented
182#1879C2211yescharacteristic, complemented
183#1879C2211yescharacteristic, complemented
184#1877C2211yescharacteristic, complemented
185#1875C2211yescharacteristic
186#1875C2211yescharacteristic, complemented
187#1873C2211yescharacteristic, complemented
188#1873C2211yescharacteristic, complemented
189#1870C2211yescharacteristic
190#1865C2211yescharacteristic, complemented
191#1864C2211yescharacteristic, complemented
192#1862C2211yescharacteristic, complemented
193#1862C2211yescharacteristic, complemented
194#1851C2211yescharacteristic, complemented
195#1818C2211yescharacteristic, complemented
196#1809C2211yescharacteristic, complemented
197#1788C2211yescharacteristic, complemented
198#1786C2211yescharacteristic, complemented
199#1776C2211yescharacteristic, complemented
200#1771C2211yescharacteristic, complemented
201#1771C2211yescharacteristic, complemented
202#1753C2211yescharacteristic, complemented
203#1753C2211yescharacteristic, complemented
204#1752C2211yescharacteristic, complemented
205C22×#41C2311yescharacteristic
206C23×D4—21no—
207C23×D4C2311yescharacteristic
208C23×D4C2311yescharacteristic
209C23×D4C2311yescharacteristic
210C2×AGL(1,ℤ/8)—24no—
211C2×AGL(1,ℤ/8)—24no—
212C2×AGL(1,ℤ/8)—42no—
213C22×SD16C2311yescharacteristic
214C22×SD16C2311yescharacteristic
215C22×SD16C2311yescharacteristic
216C22×SD16C2311yescharacteristic
217C22×SD16C2311yescharacteristic
218C22×SD16C2311yescharacteristic
219C22×SD16C2311yescharacteristic
220C22×SD16C2311yescharacteristic
221C22×D8—24no—
222C22×D8—24no—
223C22×D8—42no—
224C22×D8C2311yescharacteristic
225C22×D8C2311yescharacteristic
226C22×D8C2311yescharacteristic
227C22×D8C2311yescharacteristic
228C22×D8C2311yescharacteristic
229C22×D8C2311yescharacteristic
230C22×D8C2311yescharacteristic
231C22×D8C2311yescharacteristic
232C22×M16C2311yescharacteristic
233C22×M16C2311yescharacteristic
234C23×C8C2311yescharacteristic
235#546—24no—
236#546—42no—
237D42—24no—
238D42—42no—
239#541—24no—
240#541—42no—
241#540—24no—
242#540—42no—
243C2×C4⋊Q8C2311yescharacteristic
244C2×#127C2311yescharacteristic
245C2×#127C2311yescharacteristic
246C2×#127C2311yescharacteristic
247C2×#127C2311yescharacteristic
248C2×#126—21no—
249C2×#126—21no—
250C2×#125—21no—
251C2×#125—21no—
252C2×#125C2311yescharacteristic
253C2×#125C2311yescharacteristic
254C2×#124C2311yescharacteristic
255C2×#124C2311yescharacteristic
256C2×#124C2311yescharacteristic
257C2×#123—21no—
258C2×#123—21no—
259C2×#123—21no—
260C2×#123—21no—
261C2×C22⋊Q8C2311yescharacteristic
262C2×C22⋊Q8C2311yescharacteristic
263C2×C22⋊Q8C2311yescharacteristic
264C2×#121—21no—
265C2×#121—21no—
266C2×#121—21no—
267C2×#121—21no—
268C2×#121—21no—
269C2×#121—21no—
270C2×#121—21no—
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×C4×Q8C2311yescharacteristic
284C2×C4×Q8C2311yescharacteristic
285C2×C4×Q8C2311yescharacteristic
286C2×C4×D4—21no—
287C2×C4×D4C2311yescharacteristic
288C2×C4×D4C2311yescharacteristic
289C2×C4×D4C2311yescharacteristic
290C2×C4×D4C2311yescharacteristic
291C2×C4×D4C2311yescharacteristic
292C2×C4×D4C2311yescharacteristic
293C2×#117C2311yescharacteristic
294C2×#117C2311yescharacteristic
295C2×#117C2311yescharacteristic
296C22×C22⋊C4—21no—
297C22×C22⋊C4—21no—
298#499—24no—
299#496—24no—
300#496—24no—
301#496—42no—
302#492—24no—
303#491—24no—
304#490—24no—
305#469—24no—
306#468—24no—
307#468—24no—
308#468—42no—
309#465—24no—
310#465D418yescomplemented
311#463—24no—
312#463—42no—
313#460—42no—
314#459—24no—
315#450—24no—
316#450—42no—
317#450—42no—
318#449—24no—
319#449—42no—
320#447—24no—
321#447—24no—
322#447—42no—
323#442—24no—
324#440—24no—
325#440—24no—
326#440—42no—
327C4×SD16—24no—
328C4×SD16—24no—
329#435—24no—
330#427—42no—
331C2×#107C2311yescharacteristic
332C2×#107C2311yescharacteristic
333C2×#107C2311yescharacteristic
334C2×#107C2311yescharacteristic
335C2×#106C2311yescharacteristic
336C2×#106C2311yescharacteristic
337C2×#106C2311yescharacteristic
338C2×#106C2311yescharacteristic
339C2×C4⋊C8C2311yescharacteristic
340C2×C4⋊C8C2311yescharacteristic
341C2×C4⋊C8C2311yescharacteristic
342#418—42no—
343#418—42no—
344C2×#103C2311yescharacteristic
345C2×#103C2311yescharacteristic
346C2×#103C2311yescharacteristic
347C2×#103C2311yescharacteristic
348C2×#103C2311yescharacteristic
349C2×#103C2311yescharacteristic
350C2×#103C2311yescharacteristic
351C2×#103C2311yescharacteristic
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×#102C2311yescharacteristic
373C2×#102C2311yescharacteristic
374C2×#102C2311yescharacteristic
375C2×#102C2311yescharacteristic
376C2×C22⋊C8C2311yescharacteristic
377C2×C22⋊C8C2311yescharacteristic
378C2×C22⋊C8C2311yescharacteristic
379C2×C22⋊C8C2311yescharacteristic
380C2×C22⋊C8C2311yescharacteristic
381#405—24no—
382C2×#97C2311yescharacteristic
383C2×#97C2311yescharacteristic
384C2×#97C2311yescharacteristic
385C2×#97C2311yescharacteristic
386C2×#97C2311yescharacteristic
387C2×C4×C8C2311yescharacteristic
388C2×C4×C8C2311yescharacteristic
389#400D411yescharacteristic
390#399—21no—
391#399—21no—
392#399—21no—
393#399D411yescharacteristic
394#398D411yescharacteristic
395#397—21no—
396#397—21no—
397#397—21no—
398#397—21no—
399#397D411yescharacteristic
400#397D411yescharacteristic
401#397D411yescharacteristic
402#396—21no—
403#396—21no—
404#396—21no—
405#396—21no—
406#396—21no—
407#394—21no—
408#394—21no—
409#394—21no—
410#394—21no—
411#394—21no—
412#394—21no—
413#394—21no—
414#394—21no—
415#394—21no—
416#394—21no—
417#394—21no—
418#394—21no—
419#394D411yescharacteristic
420#394D411yescharacteristic
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#391C2311yescharacteristic
430#391C2311yescharacteristic
431#390—21no—
432#390—21no—
433#390—21no—
434#390—21no—
435#390—21no—
436#390—21no—
437#390—21no—
438#390—21no—
439#390—21no—
440#390—21no—
441#390—21no—
442#390—21no—
443#390C2311yescharacteristic
444#390C2311yescharacteristic
445#390C2311yescharacteristic
446#390C2311yescharacteristic
447#390C2311yescharacteristic
448#390C2311yescharacteristic
449#390C2311yescharacteristic
450#390C2311yescharacteristic
451#390C2311yescharacteristic
452#390C2311yescharacteristic
453#390C2311yescharacteristic
454#390C2311yescharacteristic
455#390C2311yescharacteristic
456#390C2311yescharacteristic
457#389—21no—
458#389C2311yescharacteristic
459#389C2311yescharacteristic
460#389C2311yescharacteristic
461#389C2311yescharacteristic
462#388—21no—
463#388—21no—
464#388—21no—
465#388—21no—
466#388—21no—
467#388—21no—
468#388—21no—
469#388—21no—
470#388—21no—
471#388—21no—
472#388—21no—
473#388—21no—
474#388—21no—
475#388—21no—
476#387—21no—
477#386—21no—
478#386—21no—
479#386—21no—
480#386—21no—
481#386—21no—
482#386—21no—
483#386—21no—
484#385—21no—
485#385—21no—
486#385—21no—
487#385—21no—
488#385—21no—
489#380—21no—
490#380—21no—
491#380—21no—
492#380C2311yescharacteristic
493#380C2311yescharacteristic
494#379—21no—
495#379—21no—
496#379—21no—
497#379—21no—
498#379—21no—
499#379—21no—
500#379—21no—
501C4×C4⋊C4—21no—
502C4×C4⋊C4C2311yescharacteristic
503C4×C4⋊C4C2311yescharacteristic
504C4×C4⋊C4C2311yescharacteristic
505C4×C4⋊C4C2311yescharacteristic
506C4×C22⋊C4—21no—
507C4×C22⋊C4—21no—
508C4×C22⋊C4—21no—
509C4×C22⋊C4C2311yescharacteristic
510C4×C22⋊C4C2311yescharacteristic
511C4×C22⋊C4C2311yescharacteristic
512#340C2311yescharacteristic
513#340C2311yescharacteristic
514#340C2311yescharacteristic
515#340C2311yescharacteristic
516#340C2311yescharacteristic
517#340C2311yescharacteristic
518#340C2311yescharacteristic
519#340C2311yescharacteristic
520#336C2311yescharacteristic
521#336C2311yescharacteristic
522#336C2311yescharacteristic
523#336C2311yescharacteristic
524#336C2311yescharacteristic
525#336C2311yescharacteristic
526#336C2311yescharacteristic
527#336C2311yescharacteristic
528#336C2311yescharacteristic
529#336C2311yescharacteristic
530C25—21no—
531C25—21no—
532C25—21no—
533C2×#41—22no—
534C2×#41—22no—
535C2×#41—41no—
536C2×#41—41no—
537C2×#41—41no—
538C2×#41—41no—
539C22×Q8C2411yescharacteristic
540C22×Q8C2411yescharacteristic
541C22×D4—21no—
542C22×D4—22no—
543C22×D4—22no—
544C22×D4—22no—
545C22×D4—22no—
546C22×D4—21no—
547C22×D4—21no—
548C22×D4—21no—
549C22×D4—21no—
550C22×D4—21no—
551C22×D4—22no—
552C22×D4—22no—
553C22×D4—21no—
554C22×D4—21no—
555C22×D4—21no—
556C22×D4—21no—
557C22×D4—21no—
558C22×D4—21no—
559C22×D4—21no—
560C22×D4—21no—
561C22×D4—21no—
562C22×D4—21no—
563C22×D4—21no—
564C22×D4—22no—
565C22×D4—22no—
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—44no—
577C22×D4—82no—
578C22×D4—82no—
579C22×D4C2×D411yescharacteristic
580C22×D4C2411yescharacteristic
581C22×D4C2411yescharacteristic
582C22×D4C2411yescharacteristic
583C22×D4C2411yescharacteristic
584C22×D4C2411yescharacteristic
585C22×D4C2411yescharacteristic
586C23×C4—21no—
587C23×C4—21no—
588C23×C4—21no—
589C23×C4—21no—
590C23×C4—21no—
591C23×C4—21no—
592C23×C4C2411yescharacteristic
593C23×C4C2411yescharacteristic
594AGL(1,ℤ/8)—416no—
595C2×SD16—22no—
596C2×SD16—22no—
597C2×SD16—22no—
598C2×SD16—22no—
599C2×SD16—22no—
600C2×SD16—22no—
601C2×SD16—22no—
602C2×SD16—22no—
603C2×SD16—22no—
604C2×SD16—22no—
605C2×SD16—22no—
606C2×SD16—22no—
607C2×SD16—22no—
608C2×SD16—41no—
609C2×SD16—41no—
610C2×SD16—41no—
611C2×SD16—41no—
612C2×SD16—41no—
613C2×SD16—41no—
614C2×SD16—41no—
615C2×SD16—41no—
616C2×SD16—41no—
617C2×SD16—41no—
618C2×SD16C2×D414yes—
619C2×D8—22no—
620C2×D8—22no—
621C2×D8—22no—
622C2×D8—22no—
623C2×D8—22no—
624C2×D8—22no—
625C2×D8—22no—
626C2×D8—22no—
627C2×D8—22no—
628C2×D8—22no—
629C2×D8—22no—
630C2×D8—22no—
631C2×D8—22no—
632C2×D8—416no—
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#4114yes—
644C2×M16—22no—
645C2×M16—22no—
646C2×M16—22no—
647C2×M16—22no—
648C2×M16—22no—
649C2×M16—41no—
650C22×C8—22no—
651C22×C8—22no—
652C22×C8C2×D414yes—
653C22×C8C2411yescharacteristic
654C22×C8C2411yescharacteristic
655C22×C8C2411yescharacteristic
656C22×C8C2411yescharacteristic
657C22×C8C2411yescharacteristic
658C22×C8C2411yescharacteristic
659C22×C8C2411yescharacteristic
660C22×C8C2411yescharacteristic
661C4⋊Q8—22no—
662C4⋊Q8—41no—
663#127—22no—
664#127—22no—
665#127—22no—
666#127—41no—
667#127—41no—
668#127—41no—
669#127—41no—
670#127—41no—
671#126—44no—
672#126—44no—
673#125—22no—
674#125—22no—
675#125—41no—
676#125—41no—
677#125—44no—
678#125—44no—
679#124—22no—
680#124—22no—
681#124—41no—
682#124—41no—
683#124—41no—
684#124—41no—
685#123—44no—
686#123—44no—
687#123—44no—
688#123—82no—
689C22⋊Q8—22no—
690C22⋊Q8—22no—
691C22⋊Q8—22no—
692C22⋊Q8—41no—
693C22⋊Q8—41no—
694C22⋊Q8C2×D414yes—
695#121—22no—
696#121—22no—
697#121—22no—
698#121—22no—
699#121—22no—
700#121—44no—
701#121—44no—
702#121—44no—
703#121—44no—
704#121—41no—
705#121—41no—
706#121—41no—
707#121—41no—
708#121—82no—
709#121—82no—
710#121—82no—
711#121C2×D414yes—
712#120—44no—
713#120—44no—
714#120—44no—
715#120—82no—
716#120—82no—
717#120—82no—
718#120—82no—
719C4×Q8—22no—
720C4×Q8—22no—
721C4×Q8—41no—
722C4×Q8—41no—
723C4×Q8—41no—
724C4×Q8—41no—
725C4×D4—22no—
726C4×D4—22no—
727C4×D4—22no—
728C4×D4—22no—
729C4×D4—22no—
730C4×D4—22no—
731C4×D4—41no—
732C4×D4—41no—
733C4×D4—41no—
734C4×D4—41no—
735C4×D4—41no—
736C4×D4—41no—
737C4×D4—82no—
738#117—22no—
739#117—22no—
740#117—41no—
741#117—41no—
742#117—41no—
743#117—41no—
744C2×C4⋊C4—21no—
745C2×C4⋊C4—21no—
746C2×C4⋊C4—21no—
747C2×C4⋊C4—21no—
748C2×C4⋊C4—21no—
749C2×C4⋊C4—21no—
750C2×C4⋊C4—21no—
751C2×C4⋊C4—21no—
752C2×C4⋊C4—21no—
753C2×C4⋊C4—21no—
754C2×C4⋊C4—21no—
755C2×C4⋊C4—21no—
756C2×C4⋊C4—21no—
757C2×C4⋊C4—21no—
758C2×C4⋊C4—21no—
759C2×C4⋊C4—21no—
760C2×C4⋊C4C2×D411yescharacteristic
761C2×C4⋊C4C2×D411yescharacteristic
762C2×C4⋊C4C2×D411yescharacteristic
763C2×C4⋊C4C2×D411yescharacteristic
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×C22⋊C4—21no—
776C2×C22⋊C4—21no—
777C2×C22⋊C4—21no—
778C2×C22⋊C4—21no—
779C2×C22⋊C4—21no—
780C2×C22⋊C4—21no—
781C2×C22⋊C4—21no—
782C2×C22⋊C4—21no—
783C2×C22⋊C4—21no—
784C2×C22⋊C4—21no—
785C2×C22⋊C4—21no—
786C2×C22⋊C4—21no—
787C2×C22⋊C4—21no—
788C2×C22⋊C4—21no—
789C2×C22⋊C4—21no—
790C2×C22⋊C4—21no—
791C2×C22⋊C4—21no—
792C2×C22⋊C4—21no—
793C2×C22⋊C4—21no—
794C2×C22⋊C4—21no—
795C2×C22⋊C4—21no—
796C2×C22⋊C4—21no—
797C2×C22⋊C4—21no—
798C2×C22⋊C4—21no—
799C2×C22⋊C4—21no—
800C2×C22⋊C4—21no—
801C2×C22⋊C4—21no—
802C2×C22⋊C4—21no—
803C2×C22⋊C4—21no—
804C2×C22⋊C4—21no—
805C2×C22⋊C4—21no—
806C2×C22⋊C4—21no—
807C2×C22⋊C4—21no—
808C2×C22⋊C4—21no—
809C2×C22⋊C4—21no—
810C2×C22⋊C4—21no—
811C2×C22⋊C4—21no—
812C2×C22⋊C4—21no—
813C2×C22⋊C4—21no—
814C2×C22⋊C4—21no—
815C2×C22⋊C4—21no—
816C2×C22⋊C4—21no—
817C2×C22⋊C4—21no—
818C2×C22⋊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—44no—
827C2×C22⋊C4—82no—
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×C22⋊C4C2×D411yescharacteristic
838C2×C42—21no—
839C2×C42—21no—
840C2×C42—21no—
841C2×C42—21no—
842C2×C42—21no—
843C2×C42—21no—
844C2×C42—21no—
845C2×C42C2411yescharacteristic
846C2×C42C2411yescharacteristic
847C2×C42C2411yescharacteristic
848C2×C42C2411yescharacteristic
849C2×C42C2411yescharacteristic
850#107—22no—
851#107—22no—
852#107—22no—
853#107—22no—
854#106—22no—
855#106—41no—
856#106—41no—
857#106C2×D414yes—
858C4⋊C8—22no—
859C4⋊C8—22no—
860C4⋊C8—41no—
861#103—22no—
862#103—22no—
863#103—22no—
864#103—41no—
865#103—41no—
866#103—41no—
867#103—41no—
868#103C2×D414yes—
869#102—22no—
870#102—22no—
871#102—22no—
872#102—22no—
873#102—22no—
874#102—22no—
875#102—22no—
876#102—22no—
877#102—22no—
878#102—22no—
879#102—22no—
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—
891#102—41no—
892#102C2×D414yes—
893C22⋊C8—22no—
894C22⋊C8—22no—
895C22⋊C8—22no—
896C22⋊C8—22no—
897C22⋊C8—41no—
898#97—22no—
899#97—22no—
900#97—22no—
901#97—22no—
902#97—22no—
903C4×C8—22no—
904C4×C8—22no—
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#95—21no—
917#95C2×D411yescharacteristic
918#95C2×D411yescharacteristic
919#95C2×D411yescharacteristic
920#95C2×D411yescharacteristic
921#95C2×D411yescharacteristic
922#95C2×D411yescharacteristic
923#95C2×D411yescharacteristic
924#95C2×D411yescharacteristic
925#95C2×D411yescharacteristic
926#95C2×D411yescharacteristic
927C24—21no—
928C24—21no—
929C24—21no—
930C24—21no—
931C24—21no—
932C24—21no—
933C24—42no—
934C24—42no—
935C24—42no—
936C24—42no—
937C24—42no—
938C24—42no—
939C24—42no—
940C24—81no—
941C24—81no—
942C24—81no—
943C24—81no—
944C24—81no—
945C24—81no—
946C24—81no—
947C24—81no—
948C24—81no—
949C24—81no—
950C24—81no—
951C24—81no—
952C24—81no—
953C24—81no—
954C24C22×D411yescharacteristic
955C24C22×D411yescharacteristic
956#41—44no—
957#41—82no—
958#41—82no—
959#41—82no—
960C2×Q8—21no—
961C2×Q8—21no—
962C2×Q8—21no—
963C2×Q8—21no—
964C2×Q8—21no—
965C2×Q8—21no—
966C2×Q8—21no—
967C2×Q8—21no—
968C2×Q8—21no—
969C2×Q8—21no—
970C2×Q8—21no—
971C2×Q8C22×D412yes—
972C2×D4—22no—
973C2×D4—24no—
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—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—44no—
1008C2×D4—44no—
1009C2×D4—44no—
1010C2×D4—44no—
1011C2×D4—41no—
1012C2×D4—41no—
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—42no—
1026C2×D4—42no—
1027C2×D4—42no—
1028C2×D4—42no—
1029C2×D4—44no—
1030C2×D4—42no—
1031C2×D4—42no—
1032C2×D4—42no—
1033C2×D4—42no—
1034C2×D4—42no—
1035C2×D4—42no—
1036C2×D4—82no—
1037C2×D4—82no—
1038C2×D4—82no—
1039C2×D4—82no—
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—82no—
1059C2×D4—82no—
1060C2×D4—82no—
1061C2×D4—81no—
1062C2×D4—81no—
1063C2×D4—81no—
1064C2×D4—81no—
1065C2×D4—81no—
1066C2×D4—81no—
1067C2×D4—81no—
1068C2×D4—81no—
1069C2×D4—81no—
1070C2×D4—81no—
1071C2×D4—816no—
1072C2×D4C22×D412yes—
1073C2×D4C2×#4112yes—
1074C2×D4C2×#4112yes—
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—42no—
1096C22×C4—42no—
1097C22×C4—42no—
1098C22×C4—42no—
1099C22×C4—42no—
1100C22×C4—42no—
1101C22×C4—42no—
1102C22×C4—42no—
1103C22×C4—81no—
1104C22×C4—81no—
1105C22×C4—81no—
1106C22×C4—81no—
1107C22×C4—81no—
1108C22×C4—81no—
1109C22×C4—81no—
1110C22×C4—81no—
1111C22×C4—81no—
1112C22×C4—81no—
1113C22×C4C22×D411yescharacteristic
1114C22×C4C22×D411yescharacteristic
1115C22×C4C22×D411yescharacteristic
1116C22×C4C22×D411yescharacteristic
1117C22×C4C22×D411yescharacteristic
1118C22×C4C22×D411yescharacteristic
1119C22×C4C22×D411yescharacteristic
1120C22×C4C22×D411yescharacteristic
1121C22×C4C22×D411yescharacteristic
1122C22×C4C22×D411yescharacteristic
1123C22×C4C22×D411yescharacteristic
1124C22×C4C22×D411yescharacteristic
1125C22×C4C22×D412yes—
1126C22×C4H(5,𝔽2)12yes—
1127C22×C4C2511yescharacteristic
1128SD16—28no—
1129SD16—44no—
1130SD16—44no—
1131SD16—44no—
1132SD16—44no—
1133SD16—82no—
1134SD16—82no—
1135SD16—82no—
1136D8—28no—
1137D8—44no—
1138D8—44no—
1139D8—44no—
1140D8—44no—
1141D8—82no—
1142D8—82no—
1143D8—82no—
1144M16—44no—
1145M16—44no—
1146C2×C8—21no—
1147C2×C8—21no—
1148C2×C8—21no—
1149C2×C8—21no—
1150C2×C8—28no—
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×C8C22×D412yes—
1167C2×C8C22×D412yes—
1168C2×C8C2×#4112yes—
1169C2×C8H(5,𝔽2)12yes—
1170C2×C8H(5,𝔽2)12yes—
1171C4⋊C4—24no—
1172C4⋊C4—22no—
1173C4⋊C4—22no—
1174C4⋊C4—22no—
1175C4⋊C4—21no—
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—41no—
1190C4⋊C4—41no—
1191C4⋊C4—41no—
1192C4⋊C4—41no—
1193C4⋊C4—42no—
1194C4⋊C4—42no—
1195C4⋊C4—42no—
1196C4⋊C4—42no—
1197C4⋊C4—42no—
1198C4⋊C4—42no—
1199C4⋊C4—42no—
1200C4⋊C4—42no—
1201C4⋊C4—42no—
1202C4⋊C4—81no—
1203C4⋊C4—81no—
1204C4⋊C4—81no—
1205C4⋊C4—81no—
1206C4⋊C4—81no—
1207C4⋊C4—81no—
1208C4⋊C4C22×D412yes—
1209C4⋊C4C22×D412yes—
1210C22⋊C4—24no—
1211C22⋊C4—22no—
1212C22⋊C4—22no—
1213C22⋊C4—22no—
1214C22⋊C4—24no—
1215C22⋊C4—22no—
1216C22⋊C4—41no—
1217C22⋊C4—41no—
1218C22⋊C4—41no—
1219C22⋊C4—41no—
1220C22⋊C4—41no—
1221C22⋊C4—41no—
1222C22⋊C4—42no—
1223C22⋊C4—42no—
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—81no—
1239C22⋊C4—81no—
1240C22⋊C4—81no—
1241C22⋊C4—81no—
1242C22⋊C4—81no—
1243C22⋊C4—81no—
1244C22⋊C4—81no—
1245C22⋊C4—81no—
1246C22⋊C4—81no—
1247C22⋊C4—81no—
1248C22⋊C4—81no—
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—
1266C22⋊C4—81no—
1267C22⋊C4—81no—
1268C22⋊C4—81no—
1269C22⋊C4—81no—
1270C22⋊C4—81no—
1271C42—21no—
1272C42—21no—
1273C42—21no—
1274C42—21no—
1275C42—21no—
1276C42—21no—
1277C42—21no—
1278C42—21no—
1279C42—21no—
1280C42—21no—
1281C42—42no—
1282C42—42no—
1283C42—81no—
1284C42—81no—
1285C42—81no—
1286C42—81no—
1287C42—81no—
1288C23—21no—
1289C23—21no—
1290C23—21no—
1291C23—21no—
1292C23—21no—
1293C23—21no—
1294C23—21no—
1295C23—21no—
1296C23—21no—
1297C23—21no—
1298C23—22no—
1299C23—21no—
1300C23—22no—
1301C23—21no—
1302C23—22no—
1303C23—21no—
1304C23—41no—
1305C23—41no—
1306C23—41no—
1307C23—41no—
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—41no—
1342C23—41no—
1343C23—84no—
1344C23—84no—
1345C23—84no—
1346C23—84no—
1347C23—84no—
1348C23—84no—
1349C23—84no—
1350C23—162no—
1351C23—162no—
1352C23—162no—
1353C23—162no—
1354C23—162no—
1355C23—162no—
1356C23—162no—
1357C23—162no—
1358C23—162no—
1359C23—162no—
1360C23—162no—
1361C23—162no—
1362C23—162no—
1363C23—162no—
1364C23D4212yes—
1365C23C23×D411yescharacteristic
1366Q8—22no—
1367Q8—22no—
1368Q8—41no—
1369Q8—41no—
1370Q8—41no—
1371Q8—41no—
1372Q8—41no—
1373Q8—41no—
1374D4—22no—
1375D4—22no—
1376D4—22no—
1377D4—22no—
1378D4—22no—
1379D4—22no—
1380D4—44no—
1381D4—41no—
1382D4—41no—
1383D4—41no—
1384D4—41no—
1385D4—41no—
1386D4—41no—
1387D4—41no—
1388D4—41no—
1389D4—41no—
1390D4—41no—
1391D4—41no—
1392D4—41no—
1393D4—41no—
1394D4—41no—
1395D4—41no—
1396D4—41no—
1397D4—41no—
1398D4—41no—
1399D4—84no—
1400D4—84no—
1401D4—84no—
1402D4—84no—
1403D4—84no—
1404D4—84no—
1405D4—84no—
1406D4—84no—
1407D4—162no—
1408D4—162no—
1409D4—162no—
1410D4—162no—
1411D4—162no—
1412D4—162no—
1413D4—162no—
1414D4—162no—
1415D4—162no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—22no—
1419C2×C4—22no—
1420C2×C4—22no—
1421C2×C4—22no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—21no—
1451C2×C4—22no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
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—41no—
1489C2×C4—84no—
1490C2×C4—84no—
1491C2×C4—162no—
1492C2×C4—162no—
1493C2×C4—162no—
1494C2×C4—162no—
1495C2×C4D4212yes—
1496C2×C4C23×D411yescharacteristic
1497C2×C4C22×#4111yescharacteristic
1498C2×C4C2×H(5,𝔽2)11yescharacteristic
1499C2×C4C2×H(5,𝔽2)11yescharacteristic
1500C2×C4C2×H(5,𝔽2)11yescharacteristic
1501C2×C4#58511yescharacteristic
1502C8—22no—
1503C8—22no—
1504C8—41no—
1505C8—41no—
1506C8—41no—
1507C8—41no—
1508C8—41no—
1509C8#54614yes—
1510C22—22no—
1511C22—22no—
1512C22—22no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—42no—
1518C22—42no—
1519C22—41no—
1520C22—41no—
1521C22—42no—
1522C22—42no—
1523C22—41no—
1524C22—42no—
1525C22—42no—
1526C22—41no—
1527C22—41no—
1528C22—42no—
1529C22—42no—
1530C22—42no—
1531C22—41no—
1532C22—41no—
1533C22—81no—
1534C22—81no—
1535C22—81no—
1536C22—81no—
1537C22—81no—
1538C22—81no—
1539C22—81no—
1540C22—81no—
1541C22—81no—
1542C22—81no—
1543C22—81no—
1544C22—81no—
1545C22—81no—
1546C22—81no—
1547C22—81no—
1548C22—81no—
1549C22—81no—
1550C22—81no—
1551C22—81no—
1552C22—81no—
1553C22—81no—
1554C22—81no—
1555C22—81no—
1556C22—81no—
1557C22—81no—
1558C22—81no—
1559C22—81no—
1560C22—81no—
1561C22—81no—
1562C22—81no—
1563C22—81no—
1564C22—81no—
1565C22—81no—
1566C22—168no—
1567C22—168no—
1568C22—168no—
1569C22C2×D4211yescharacteristic
1570C22D4×#4111yescharacteristic
1571C22#349811yescharacteristic
1572C22#358511yescharacteristic
1573C22#358511yescharacteristic
1574C22#358511yescharacteristic
1575C22#358511yescharacteristic
1576C4—22no—
1577C4—41no—
1578C4—41no—
1579C4—41no—
1580C4—41no—
1581C4—41no—
1582C4—42no—
1583C4—41no—
1584C4—41no—
1585C4—41no—
1586C4—42no—
1587C4—41no—
1588C4—42no—
1589C4—41no—
1590C4—41no—
1591C4—81no—
1592C4—81no—
1593C4—81no—
1594C4—81no—
1595C4—81no—
1596C4—81no—
1597C4—81no—
1598C4C2×#54611yescharacteristic
1599C4#348811yescharacteristic
1600C4#351911yescharacteristic
1601C4#355811yescharacteristic
1602C2—42no—
1603C2—81no—
1604C2—82no—
1605C2—82no—
1606C2—82no—
1607C2—161no—
1608C2—161no—
1609C2—161no—
1610C2#5909511yescharacteristic
1611C2#6105911yescharacteristic
1612C2#6108211yescharacteristic
1613C2#6150611yescharacteristic
1614C2#6150611yescharacteristic
1615C2#6244111yescharacteristic
1616C2#6244111yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2395 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3264C2semidirect
2. C2×#3174C2semidirect
3. #45187C2semidirect
4. #44872C2semidirect
5. #30895C2semidirect
6. #30890C2semidirect
7. #30548C2semidirect
8. #30539C2semidirect
9. #28480C2semidirect
10. #27805C2semidirect
11. #26612C2semidirect
12. #26602C2semidirect
13. #26492C2semidirect
14. #26257C2semidirect
15. #25791C2semidirect
16. #25788C2semidirect
17. #25416C2semidirect
18. #25179C2semidirect
19. #25164C2semidirect
20. #25101C2semidirect
21. #25093C2semidirect
22. #24786C2semidirect
23. #24450C2semidirect
24. #24448C2semidirect
25. #23942C2semidirect
26. #23939C2semidirect
27. #23193C2semidirect
28. #23033C2semidirect
29. #22443C2semidirect
30. #21569C2semidirect
31. #21233C2semidirect
36. C2×#541C22semidirect
40. C2×#499C22semidirect
43. C2×#496C22semidirect
44. C2×#492C22semidirect
45. C2×#491C22semidirect
46. C2×#490C22semidirect
49. C2×#468C22semidirect
50. C2×#468C22semidirect
52. C2×#465C22semidirect
53. C2×#460C22semidirect
55. C2×#463C22semidirect
58. C2×#449C22semidirect
61. C2×#450C22semidirect
64. C2×#447C22semidirect
66. C2×#440C22semidirect
67. C2×#440C22semidirect
68. C2×#440C22semidirect
69. C2×C4×SD16C22semidirect
70. C2×C4×SD16C22semidirect
72. C2×#427C22semidirect
74. C2×#418C22semidirect
75. C2×#405C22semidirect
85. #2545C22semidirect
86. #2541C22semidirect
89. #2490C22semidirect
90. #2490C22semidirect
94. #2454C22semidirect
95. #2454C22semidirect
96. #2448C22semidirect
97. #2445C22semidirect
98. #2435C22semidirect
100. #2433C22semidirect
101. #2432C22semidirect
102. #2428C22semidirect
103. #2426C22semidirect
109. #2367C22semidirect
110. #2366C22semidirect
112. #2362C22semidirect
113. #2341C22semidirect
114. D4×C22⋊C4C22semidirect
116. #2309C22semidirect
117. #2067C22semidirect
118. #2067C22semidirect
119. #2066C22semidirect
120. #2065C22semidirect
121. #2055C22semidirect
122. #2054C22semidirect
123. #2042C22semidirect
124. #2042C22semidirect
125. #2041C22semidirect
126. #2041C22semidirect
127. #2035C22semidirect
128. #2034C22semidirect
129. #2033C22semidirect
130. #2033C22semidirect
131. #2025C22semidirect
132. #2025C22semidirect
133. #2025C22semidirect
134. #2025C22semidirect
135. #2014C22semidirect
136. #2014C22semidirect
137. #2013C22semidirect
138. #2013C22semidirect
140. #2012C22semidirect
141. #2012C22semidirect
142. #2012C22semidirect
144. #2011C22semidirect
145. #2011C22semidirect
146. #2011C22semidirect
147. #2000C22semidirect
148. #1999C22semidirect
149. #1983C22semidirect
150. #1982C22semidirect
151. #1973C22semidirect
152. #1973C22semidirect
156. #1972C22semidirect
157. #1972C22semidirect
158. #1972C22semidirect
161. #1970C22semidirect
162. #1970C22semidirect
163. #1944C22semidirect
164. #1943C22semidirect
165. #1927C22semidirect
166. #1926C22semidirect
167. #1925C22semidirect
168. #1925C22semidirect
169. #1924C22semidirect
170. #1924C22semidirect
171. #1917C22semidirect
172. #1917C22semidirect
173. #1880C22semidirect
174. #1880C22semidirect
175. #1880C22semidirect
176. #1880C22semidirect
177. #1880C22semidirect
178. #1879C22semidirect
179. #1879C22semidirect
180. #1879C22semidirect
181. #1879C22semidirect
182. #1879C22semidirect
183. #1879C22semidirect
184. #1877C22semidirect
186. #1875C22semidirect
187. #1873C22semidirect
188. #1873C22semidirect
190. #1865C22semidirect
191. #1864C22semidirect
192. #1862C22semidirect
193. #1862C22semidirect
194. #1851C22semidirect
195. #1818C22semidirect
196. #1809C22semidirect
197. #1788C22semidirect
198. #1786C22semidirect
199. #1776C22semidirect
200. #1771C22semidirect
201. #1771C22semidirect
202. #1753C22semidirect
203. #1753C22semidirect
204. #1752C22semidirect
310. #465D4semidirect

Maximal subgroups

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

subgroupindex
C2×#32642
C2×#31742
#451872
#448722
#308952
#308902
#305482
#305392
#284802
#278052
#266122
#266022
#264922
#262572
#257912
#257882
#254162
#251792
#251642
#251012
#250932
#247862
#244502
#244482
#239422
#239392
#231932
#230332
#224432
#215692
#212332