Finite Group Databasebeta

← #7516458

Subgroups — #7516458

Order 512.

2350 conjugacy classes of subgroups.

The subgroup lattice has 1633 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3325C211yesmaximal, characteristic, complemented
2C2×#3096C211yesmaximal, characteristic, complemented
3#44870C211yesmaximal, characteristic, complemented
4#35756C211yesmaximal, characteristic, complemented
5#31147C211yesmaximal, characteristic, complemented
6#31036C211yesmaximal, characteristic, complemented
7#30732C211yesmaximal, characteristic, complemented
8#30630C211yesmaximal, characteristic, complemented
9#28341C211yesmaximal, characteristic, complemented
10#27273C211yesmaximal, characteristic, complemented
11#26943C211yesmaximal, characteristic, complemented
12#26616C211yesmaximal, characteristic, complemented
13#26343C211yesmaximal, characteristic, complemented
14#26248C211yesmaximal, characteristic, complemented
15#26156C211yesmaximal, characteristic, complemented
16#25538C211yesmaximal, characteristic, complemented
17#25260C211yesmaximal, characteristic, complemented
18#25227C211yesmaximal, characteristic, complemented
19#25076C211yesmaximal, characteristic, complemented
20#24878C211yesmaximal, characteristic, complemented
21#24784C211yesmaximal, characteristic, complemented
22#24492C211yesmaximal, characteristic, complemented
23#24440C211yesmaximal, characteristic, complemented
24#24390C211yesmaximal, characteristic, complemented
25#24390C211yesmaximal, characteristic, complemented
26#24032C211yesmaximal, characteristic, complemented
27#23037C211yesmaximal, characteristic, complemented
28#22933C211yesmaximal, characteristic, complemented
29#22849C211yesmaximal, characteristic, complemented
30#22423C211yesmaximal, characteristic, complemented
31#20914C211yesmaximal, characteristic, complemented
32C2×#555C2211yescharacteristic, complemented
33C2×D42C2211yescharacteristic
34C2×D42C2211yescharacteristic
35C2×#535C2211yescharacteristic
36C2×#535C2211yescharacteristic
37C2×#520C2211yescharacteristic, complemented
38#3325—28no—
39C2×#486C2211yescharacteristic
40#3096—28no—
41C2×#481C2211yescharacteristic, complemented
42C2×#481C2211yescharacteristic, complemented
43C2×#482C2211yescharacteristic
44C2×#482C2211yescharacteristic, complemented
45C2×#482C2211yescharacteristic, complemented
46C2×#482C2211yescharacteristic, complemented
47C2×#482C2211yescharacteristic, complemented
48C2×#480C2211yescharacteristic
49C2×#480C2211yescharacteristic, complemented
50C2×#476C2211yescharacteristic, complemented
51C2×#469C2211yescharacteristic
52C2×#469C2211yescharacteristic
53C2×#469C2211yescharacteristic, complemented
54C2×#466C2211yescharacteristic, complemented
55C2×#466C2211yescharacteristic, complemented
56C2×#459C2211yescharacteristic
57C2×#447C2211yescharacteristic
58C2×#447C2211yescharacteristic, complemented
59C2×#447C2211yescharacteristic, complemented
60C2×C4×D8C2211yescharacteristic, complemented
61C2×#436C2211yescharacteristic, complemented
62C2×#435C2211yescharacteristic, complemented
63C2×#428C2211yescharacteristic, complemented
64C2×#427C2211yescharacteristic, complemented
65C2×#418C2211yescharacteristic
66C2×#418C2211yescharacteristic, complemented
67C2×#418C2211yescharacteristic, complemented
68C22×#102C2211yescharacteristic, complemented
69C22×#102C2211yescharacteristic, complemented
70C2×#408C2211yescharacteristic, complemented
71C2×#408C2211yescharacteristic, complemented
72#2679—21no—
73#2670—21no—
74#2669—21no—
75#2669—21no—
76#2631—21no—
77#2615C2211yescharacteristic, complemented
78#2599—21no—
79#2592—21no—
80#2555—21no—
81#2541C2211yescharacteristic
82#2504C2211yescharacteristic, complemented
83#2486C2211yescharacteristic, complemented
84#2459—21no—
85#2459—21no—
86#2456—21no—
87#2456—21no—
88#2439C2211yescharacteristic, complemented
89#2439C2211yescharacteristic, complemented
90#2433—21no—
91#2433—21no—
92#2433C2211yescharacteristic
93#2433C2211yescharacteristic
94#2428C2211yescharacteristic
95#2428C2211yescharacteristic
96#2414C2211yescharacteristic
97#2414C2211yescharacteristic
98#2414C2211yescharacteristic, complemented
99#2414C2211yescharacteristic, complemented
100#2408C2211yescharacteristic
101#2403—21no—
102#2392—21no—
103#2388C2211yescharacteristic
104#2363C2211yescharacteristic
105#2363C2211yescharacteristic
106#2361C2211yescharacteristic, complemented
107#2361C2211yescharacteristic, complemented
108#2352C2211yescharacteristic, complemented
109#2352C2211yescharacteristic, complemented
110#2347C2211yescharacteristic, complemented
111#2092C2211yescharacteristic, complemented
112#2092C2211yescharacteristic, complemented
113#2088C2211yescharacteristic, complemented
114#2085C2211yescharacteristic, complemented
115#2077C2211yescharacteristic, complemented
116#2073C2211yescharacteristic, complemented
117#2067C2211yescharacteristic, complemented
118#2067C2211yescharacteristic, complemented
119#2067C2211yescharacteristic, complemented
120#2067C2211yescharacteristic, complemented
121#2057C2211yescharacteristic, complemented
122#2054C2211yescharacteristic, complemented
123#2041C2211yescharacteristic
124#2041C2211yescharacteristic
125#2041C2211yescharacteristic
126#2041C2211yescharacteristic, complemented
127#2034C2211yescharacteristic, complemented
128#2034C2211yescharacteristic, complemented
129#2034C2211yescharacteristic, complemented
130#2033C2211yescharacteristic, complemented
131#2033C2211yescharacteristic, complemented
132#2033C2211yescharacteristic, complemented
133#2033C2211yescharacteristic, complemented
134#2033C2211yescharacteristic, complemented
135#2023C2211yescharacteristic, complemented
136#2011C2211yescharacteristic
137#2011C2211yescharacteristic, complemented
138#1999C2211yescharacteristic, complemented
139#1999C2211yescharacteristic, complemented
140#1999C2211yescharacteristic, complemented
141#1999C2211yescharacteristic, complemented
142#1999C2211yescharacteristic, complemented
143#1982C2211yescharacteristic
144#1982C2211yescharacteristic, complemented
145#1972C2211yescharacteristic, complemented
146#1972C2211yescharacteristic, complemented
147#1961C2211yescharacteristic
148#1961C2211yescharacteristic, complemented
149#1955C2211yescharacteristic, complemented
150#1949C2211yescharacteristic, complemented
151#1944C2211yescharacteristic, complemented
152#1941C2211yescharacteristic, complemented
153#1936C2211yescharacteristic, complemented
154#1934C2211yescharacteristic, complemented
155#1926C2211yescharacteristic, complemented
156#1926C2211yescharacteristic, complemented
157#1925C2211yescharacteristic, complemented
158#1925C2211yescharacteristic, complemented
159#1924C2211yescharacteristic, complemented
160#1923C2211yescharacteristic, complemented
161#1920C2211yescharacteristic, complemented
162#1918C2211yescharacteristic, complemented
163#1895C2211yescharacteristic, complemented
164#1895C2211yescharacteristic, complemented
165#1895C2211yescharacteristic, complemented
166#1893C2211yescharacteristic
167#1893C2211yescharacteristic
168#1879C2211yescharacteristic, complemented
169#1879C2211yescharacteristic, complemented
170#1875C2211yescharacteristic
171#1875C2211yescharacteristic, complemented
172#1875C2211yescharacteristic, complemented
173#1875C2211yescharacteristic, complemented
174#1875C2211yescharacteristic, complemented
175#1875C2211yescharacteristic, complemented
176#1875C2211yescharacteristic, complemented
177#1874C2211yescharacteristic
178#1874C2211yescharacteristic, complemented
179#1874C2211yescharacteristic, complemented
180#1874C2211yescharacteristic, complemented
181#1870C2211yescharacteristic, complemented
182#1870C2211yescharacteristic, complemented
183#1869C2211yescharacteristic, complemented
184#1864C2211yescharacteristic, complemented
185#1864C2211yescharacteristic, complemented
186#1862C2211yescharacteristic, complemented
187#1862C2211yescharacteristic, complemented
188#1854C2211yescharacteristic, complemented
189#1854C2211yescharacteristic, complemented
190#1854C2211yescharacteristic, complemented
191#1851C2211yescharacteristic, complemented
192#1850C2211yescharacteristic, complemented
193#1809C2211yescharacteristic, complemented
194#1804C2211yescharacteristic, complemented
195#1786C2211yescharacteristic
196#1786C2211yescharacteristic
197#1786C2211yescharacteristic, complemented
198#1786C2211yescharacteristic, complemented
199#1776C2211yescharacteristic, complemented
200#1762C2211yescharacteristic, complemented
201#1753C2211yescharacteristic, complemented
202#1752C2211yescharacteristic, complemented
203#1736C2211yescharacteristic, complemented
204#1735C2211yescharacteristic, complemented
205C22×#41C2311yescharacteristic
206C23×D4—21no—
207C23×D4—21no—
208C23×D4C2311yescharacteristic
209C23×D4C2311yescharacteristic
210C23×D4C2311yescharacteristic
211C22×D8C2311yescharacteristic
212C22×D8C2311yescharacteristic
213C22×D8C2311yescharacteristic
214C22×D8C2311yescharacteristic
215C22×M16C2311yescharacteristic
216C22×M16C2311yescharacteristic
217C22×M16C2311yescharacteristic
218C23×C8C2311yescharacteristic
219C23×C8C2311yescharacteristic
220#555—24no—
221#555—42no—
222D42—24no—
223D42—24no—
224D42—42no—
225D42—42no—
226#535—24no—
227#535—24no—
228#535—42no—
229#535—42no—
230C2×C4⋊Q8C2311yescharacteristic
231C2×#127—21no—
232C2×#127—21no—
233C2×#127—21no—
234C2×#127C2311yescharacteristic
235C2×#127C2311yescharacteristic
236C2×#127C2311yescharacteristic
237C2×#124—21no—
238C2×#124—21no—
239C2×#124—21no—
240C2×#124—21no—
241C2×#123—21no—
242C2×#121—21no—
243C2×#121—21no—
244C2×#121—21no—
245C2×#121—21no—
246C2×#121—21no—
247C2×#121C2311yescharacteristic
248C2×#121C2311yescharacteristic
249C2×#121C2311yescharacteristic
250C2×#121C2311yescharacteristic
251C2×#121C2311yescharacteristic
252C2×#121C2311yescharacteristic
253C2×#121C2311yescharacteristic
254C2×#121C2311yescharacteristic
255C2×#121C2311yescharacteristic
256C2×#121C2311yescharacteristic
257C2×#121C2311yescharacteristic
258C2×#121C2311yescharacteristic
259C2×#121C2311yescharacteristic
260C2×#121C2311yescharacteristic
261C2×#120—21no—
262C2×#120—21no—
263C2×#120—21no—
264C2×#120—21no—
265C2×#120—21no—
266C2×#120—21no—
267C2×#120—21no—
268C2×#120—21no—
269C2×#120—21no—
270C2×#120—21no—
271C2×#120—21no—
272C2×#120—21no—
273C2×#120—21no—
274#520—24no—
275#520—42no—
276C2×C4×Q8—21no—
277C2×C4×D4—21no—
278C2×C4×D4—21no—
279C2×C4×D4—21no—
280C2×C4×D4—21no—
281C2×C4×D4—21no—
282C2×C4×D4C2311yescharacteristic
283C2×C4×D4C2311yescharacteristic
284C2×C4×D4C2311yescharacteristic
285C2×C4×D4C2311yescharacteristic
286C2×C4×D4C2311yescharacteristic
287C2×C4×D4C2311yescharacteristic
288C2×#117—21no—
289C2×#117C2311yescharacteristic
290C2×#117C2311yescharacteristic
291C2×#117C2311yescharacteristic
292C2×#117C2311yescharacteristic
293C2×#117C2311yescharacteristic
294C2×#117C2311yescharacteristic
295C22×C4⋊C4C2311yescharacteristic
296C22×C4⋊C4C2311yescharacteristic
297C22×C4⋊C4C2311yescharacteristic
298#486—24no—
299#482—24no—
300#482—24no—
301#482—24no—
302#482—24no—
303#482D418yescomplemented
304#481—24no—
305#481—24no—
306#480—24no—
307#480—24no—
308#476—24no—
309#469—24no—
310#469—24no—
311#469—24no—
312#466—42no—
313#466—42no—
314#459—24no—
315#447—24no—
316#447—24no—
317#447—42no—
318C4×D8—24no—
319#436—24no—
320#435—42no—
321#428—24no—
322#427—24no—
323C2×#107C2311yescharacteristic
324C2×#107C2311yescharacteristic
325C2×#107C2311yescharacteristic
326C2×#107C2311yescharacteristic
327C2×#107C2311yescharacteristic
328C2×#107C2311yescharacteristic
329C2×#106C2311yescharacteristic
330C2×#106C2311yescharacteristic
331C2×#106C2311yescharacteristic
332C2×#106C2311yescharacteristic
333C2×#106C2311yescharacteristic
334C2×#106C2311yescharacteristic
335C2×C4⋊C8C2311yescharacteristic
336C2×C4⋊C8C2311yescharacteristic
337C2×C4⋊C8C2311yescharacteristic
338#418—24no—
339#418—24no—
340#418—24no—
341C2×#102—24no—
342C2×#102—42no—
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×#102C2311yescharacteristic
373C2×#102C2311yescharacteristic
374C2×#102C2311yescharacteristic
375#408—24no—
376#408—42no—
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×#97C2311yescharacteristic
389C2×#97C2311yescharacteristic
390C2×C4×C8C2311yescharacteristic
391#398—21no—
392#397—21no—
393#397—21no—
394#397—21no—
395#396—21no—
396#396—21no—
397#395D411yescharacteristic
398#394—21no—
399#394—21no—
400#394—21no—
401#394—21no—
402#394—21no—
403#394—21no—
404#394—21no—
405#394D411yescharacteristic
406#394D411yescharacteristic
407#394D411yescharacteristic
408#393—21no—
409#393—21no—
410#393—21no—
411#393D411yescharacteristic
412#392—21no—
413#392—21no—
414#392—21no—
415#392—21no—
416#392—21no—
417#392—21no—
418#392—21no—
419#392—21no—
420#392—21no—
421#392—21no—
422#392—21no—
423#392—21no—
424#392—21no—
425#392—21no—
426#392—21no—
427#392—21no—
428#392D411yescharacteristic
429#392D411yescharacteristic
430#392D411yescharacteristic
431#391—21no—
432#391—21no—
433#390—21no—
434#390—21no—
435#390—21no—
436#390—21no—
437#390—21no—
438#390—21no—
439#390—21no—
440#390C2311yescharacteristic
441#390C2311yescharacteristic
442#390C2311yescharacteristic
443#390C2311yescharacteristic
444#390C2311yescharacteristic
445#390C2311yescharacteristic
446#389C2311yescharacteristic
447#389C2311yescharacteristic
448#389C2311yescharacteristic
449#389C2311yescharacteristic
450#389C2311yescharacteristic
451#389C2311yescharacteristic
452#388—21no—
453#388—21no—
454#388—21no—
455#388—21no—
456#388—21no—
457#388—21no—
458#388—21no—
459#388—21no—
460#388—21no—
461#388—21no—
462#388—21no—
463#388—21no—
464#387—21no—
465#387—21no—
466#387—21no—
467#387—21no—
468#386—21no—
469#386—21no—
470#386—21no—
471#386—21no—
472#386—21no—
473#386—21no—
474#386—21no—
475#386—21no—
476#386—21no—
477#386—21no—
478#385—21no—
479#385—21no—
480#383—21no—
481#382C2311yescharacteristic
482#382C2311yescharacteristic
483#381—21no—
484#380C2311yescharacteristic
485#380C2311yescharacteristic
486#380C2311yescharacteristic
487#380C2311yescharacteristic
488#380C2311yescharacteristic
489#380C2311yescharacteristic
490#379—21no—
491C4×C4⋊C4—21no—
492C4×C4⋊C4C2311yescharacteristic
493C4×C4⋊C4C2311yescharacteristic
494C4×C4⋊C4C2311yescharacteristic
495C4×C22⋊C4—21no—
496C4×C22⋊C4—21no—
497C4×C22⋊C4—21no—
498C4×C22⋊C4—21no—
499C4×C22⋊C4C2311yescharacteristic
500C4×C22⋊C4C2311yescharacteristic
501C4×C22⋊C4C2311yescharacteristic
502#340C2311yescharacteristic
503#340C2311yescharacteristic
504#340C2311yescharacteristic
505#340C2311yescharacteristic
506#340C2311yescharacteristic
507#340C2311yescharacteristic
508#340C2311yescharacteristic
509#340C2311yescharacteristic
510#340C2311yescharacteristic
511#340C2311yescharacteristic
512#340C2311yescharacteristic
513#340C2311yescharacteristic
514#340C2311yescharacteristic
515#340C2311yescharacteristic
516#340C2311yescharacteristic
517#340C2311yescharacteristic
518#336C2311yescharacteristic
519#336C2311yescharacteristic
520#336C2311yescharacteristic
521#336C2311yescharacteristic
522#336C2311yescharacteristic
523#336C2311yescharacteristic
524C25—21no—
525C25—21no—
526C25—21no—
527C2×#41—22no—
528C2×#41—22no—
529C2×#41—22no—
530C2×#41—22no—
531C2×#41—41no—
532C2×#41—41no—
533C22×Q8—21no—
534C22×Q8C2×D411yescharacteristic
535C22×D4—21no—
536C22×D4—21no—
537C22×D4—22no—
538C22×D4—22no—
539C22×D4—22no—
540C22×D4—22no—
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—22no—
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—22no—
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—44no—
578C22×D4—82no—
579C22×D4—82no—
580C22×D4—82no—
581C22×D4—82no—
582C22×D4C2×D411yescharacteristic
583C22×D4C2×D411yescharacteristic
584C22×D4C2×D411yescharacteristic
585C22×D4C2×D411yescharacteristic
586C22×D4C2×D411yescharacteristic
587C22×D4C2×D411yescharacteristic
588C22×D4C2411yescharacteristic
589C22×D4C2411yescharacteristic
590C22×D4C2411yescharacteristic
591C22×D4C2411yescharacteristic
592C22×D4C2411yescharacteristic
593C23×C4—21no—
594C23×C4—21no—
595C23×C4—21no—
596C23×C4—21no—
597C23×C4—21no—
598C23×C4—21no—
599C23×C4C2411yescharacteristic
600C23×C4C2411yescharacteristic
601C23×C4C2411yescharacteristic
602C23×C4C2411yescharacteristic
603C2×D8—22no—
604C2×D8—22no—
605C2×D8—22no—
606C2×D8—22no—
607C2×D8—41no—
608C2×D8—41no—
609C2×D8—41no—
610C2×D8—41no—
611C2×D8—41no—
612C2×D8—41no—
613C2×D8—41no—
614C2×D8—41no—
615C2×M16—22no—
616C2×M16—22no—
617C2×M16—22no—
618C2×M16—22no—
619C2×M16—41no—
620C2×M16—41no—
621C2×M16—41no—
622C2×M16—41no—
623C2×M16—41no—
624C22×C8—22no—
625C22×C8—22no—
626C22×C8—22no—
627C22×C8—41no—
628C22×C8—41no—
629C22×C8—41no—
630C22×C8C2411yescharacteristic
631C22×C8C2411yescharacteristic
632C22×C8C2411yescharacteristic
633C22×C8C2411yescharacteristic
634C22×C8C2411yescharacteristic
635C22×C8C2411yescharacteristic
636C22×C8C2411yescharacteristic
637C22×C8C2411yescharacteristic
638C4⋊Q8—22no—
639C4⋊Q8—41no—
640#127—22no—
641#127—22no—
642#127—41no—
643#127—41no—
644#127—41no—
645#127—41no—
646#127—44no—
647#127—44no—
648#127—82no—
649#124—44no—
650#124—44no—
651#124—44no—
652#124—44no—
653#123—82no—
654#121—22no—
655#121—22no—
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—22no—
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—82no—
684#121—82no—
685#121C2×D414yes—
686#121#4114yes—
687#120—44no—
688#120—44no—
689#120—44no—
690#120—44no—
691#120—44no—
692#120—44no—
693#120—44no—
694#120—44no—
695#120—82no—
696#120—82no—
697#120—82no—
698#120—82no—
699#120—82no—
700C4×Q8—44no—
701C4×D4—22no—
702C4×D4—22no—
703C4×D4—22no—
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—44no—
714C4×D4—44no—
715C4×D4—44no—
716C4×D4—82no—
717C4×D4—82no—
718#117—22no—
719#117—22no—
720#117—22no—
721#117—22no—
722#117—22no—
723#117—22no—
724#117—44no—
725#117—41no—
726#117—41no—
727#117—41no—
728#117—41no—
729#117—41no—
730#117C2×D414yescomplemented
731C2×C4⋊C4—22no—
732C2×C4⋊C4—22no—
733C2×C4⋊C4—22no—
734C2×C4⋊C4—22no—
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—21no—
742C2×C4⋊C4—21no—
743C2×C4⋊C4—21no—
744C2×C4⋊C4—21no—
745C2×C4⋊C4—41no—
746C2×C4⋊C4—41no—
747C2×C4⋊C4C2×D411yescharacteristic
748C2×C4⋊C4C2×D411yescharacteristic
749C2×C4⋊C4C2×D411yescharacteristic
750C2×C4⋊C4C2411yescharacteristic
751C2×C4⋊C4C2411yescharacteristic
752C2×C4⋊C4C2411yescharacteristic
753C2×C4⋊C4C2411yescharacteristic
754C2×C4⋊C4C2411yescharacteristic
755C2×C4⋊C4C2411yescharacteristic
756C2×C4⋊C4C2411yescharacteristic
757C2×C4⋊C4C2411yescharacteristic
758C2×C4⋊C4C2411yescharacteristic
759C2×C4⋊C4C2411yescharacteristic
760C2×C4⋊C4C2411yescharacteristic
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⋊C4C2×D411yescharacteristic
803C2×C22⋊C4C2×D411yescharacteristic
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×C42—21no—
815C2×C42—21no—
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#107—22no—
829#107—41no—
830#107—41no—
831#107C2×D414yescomplemented
832#106—22no—
833#106—22no—
834#106—22no—
835#106—22no—
836#106—22no—
837#106C2×D414yescomplemented
838C4⋊C8—22no—
839C4⋊C8—41no—
840C4⋊C8—41no—
841#102—22no—
842#102—22no—
843#102—22no—
844#102—22no—
845#102—22no—
846#102—22no—
847#102—22no—
848#102—22no—
849#102—22no—
850#102—22no—
851#102—22no—
852#102—22no—
853#102—22no—
854#102—22no—
855#102—22no—
856#102—22no—
857#102—41no—
858#102—41no—
859#102—41no—
860#102—41no—
861#102—41no—
862#102—41no—
863#102—41no—
864#102—41no—
865#102—41no—
866#102—41no—
867#102—41no—
868#102—41no—
869#102—41no—
870#102—41no—
871#102C2×D414yes—
872#102C2×D414yes—
873C22⋊C8—22no—
874C22⋊C8—22no—
875C22⋊C8—22no—
876C22⋊C8—22no—
877C22⋊C8—22no—
878C22⋊C8—22no—
879C22⋊C8—41no—
880C22⋊C8—41no—
881C22⋊C8—41no—
882C22⋊C8—41no—
883C22⋊C8C2×D414yescomplemented
884#97—41no—
885#97—41no—
886C4×C8—22no—
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#95—21no—
898#95—21no—
899#95—21no—
900#95—21no—
901#95—21no—
902#95—21no—
903#95—21no—
904#95—21no—
905#95—21no—
906#95C2×D411yescharacteristic
907#95C2×D411yescharacteristic
908#95C2×D411yescharacteristic
909#95C2×D411yescharacteristic
910#95C2×D411yescharacteristic
911#95C2×D411yescharacteristic
912C24—21no—
913C24—21no—
914C24—21no—
915C24—21no—
916C24—21no—
917C24—42no—
918C24—42no—
919C24—42no—
920C24—42no—
921C24—42no—
922C24—42no—
923C24—42no—
924C24—81no—
925C24—81no—
926C24—81no—
927C24—81no—
928C24—81no—
929C24—81no—
930C24—81no—
931C24—81no—
932C24—81no—
933C24—81no—
934C24—81no—
935C24—81no—
936C24—81no—
937C24—81no—
938C24C22×D411yescharacteristic
939C24C22×D411yescharacteristic
940C24C22×D411yescharacteristic
941C24C22×D411yescharacteristic
942#41—44no—
943#41—44no—
944#41—44no—
945#41—44no—
946C2×Q8—22no—
947C2×Q8—22no—
948C2×Q8—41no—
949C2×Q8—42no—
950C2×Q8—81no—
951C2×Q8—81no—
952C2×D4—22no—
953C2×D4—22no—
954C2×D4—22no—
955C2×D4—22no—
956C2×D4—22no—
957C2×D4—22no—
958C2×D4—24no—
959C2×D4—24no—
960C2×D4—22no—
961C2×D4—22no—
962C2×D4—22no—
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—21no—
986C2×D4—21no—
987C2×D4—21no—
988C2×D4—21no—
989C2×D4—21no—
990C2×D4—21no—
991C2×D4—44no—
992C2×D4—44no—
993C2×D4—44no—
994C2×D4—44no—
995C2×D4—41no—
996C2×D4—41no—
997C2×D4—41no—
998C2×D4—41no—
999C2×D4—41no—
1000C2×D4—41no—
1001C2×D4—41no—
1002C2×D4—41no—
1003C2×D4—41no—
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—44no—
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—42no—
1030C2×D4—42no—
1031C2×D4—42no—
1032C2×D4—82no—
1033C2×D4—82no—
1034C2×D4—82no—
1035C2×D4—82no—
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—82no—
1051C2×D4—82no—
1052C2×D4—82no—
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×D4—81no—
1071C2×D4—81no—
1072C2×D4—81no—
1073C2×D4—81no—
1074C2×D4—81no—
1075C2×D4—81no—
1076C2×D4—81no—
1077C2×D4—81no—
1078C2×D4—81no—
1079C2×D4—816no—
1080C2×D4—816no—
1081C2×D4C22×D412yes—
1082C2×D4C2×#4112yes—
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—21no—
1106C22×C4—21no—
1107C22×C4—21no—
1108C22×C4—21no—
1109C22×C4—21no—
1110C22×C4—21no—
1111C22×C4—21no—
1112C22×C4—21no—
1113C22×C4—21no—
1114C22×C4—42no—
1115C22×C4—42no—
1116C22×C4—42no—
1117C22×C4—42no—
1118C22×C4—42no—
1119C22×C4—42no—
1120C22×C4—42no—
1121C22×C4—42no—
1122C22×C4—42no—
1123C22×C4—81no—
1124C22×C4—81no—
1125C22×C4—81no—
1126C22×C4—81no—
1127C22×C4—81no—
1128C22×C4—81no—
1129C22×C4—81no—
1130C22×C4—81no—
1131C22×C4—81no—
1132C22×C4C22×D411yescharacteristic
1133C22×C4C22×D411yescharacteristic
1134C22×C4C22×D411yescharacteristic
1135C22×C4C22×D411yescharacteristic
1136C22×C4C22×D411yescharacteristic
1137C22×C4C22×D411yescharacteristic
1138C22×C4C22×D411yescharacteristic
1139C22×C4C22×D411yescharacteristic
1140C22×C4C22×D412yes—
1141C22×C4C22×D411yescharacteristic
1142C22×C4C22×D411yescharacteristic
1143C22×C4C2×#4112yes—
1144C22×C4H(5,𝔽2)12yes—
1145C22×C4H(5,𝔽2)12yes—
1146C22×C4C2511yescharacteristic
1147D8—44no—
1148D8—82no—
1149D8—82no—
1150D8—82no—
1151M16—44no—
1152M16—82no—
1153M16—82no—
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—21no—
1173C2×C8—21no—
1174C2×C8—21no—
1175C2×C8—21no—
1176C2×C8—44no—
1177C2×C8—82no—
1178C2×C8C22×D412yes—
1179C2×C8C22×D412yes—
1180C4⋊C4—22no—
1181C4⋊C4—22no—
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—21no—
1194C4⋊C4—21no—
1195C4⋊C4—21no—
1196C4⋊C4—21no—
1197C4⋊C4—21no—
1198C4⋊C4—21no—
1199C4⋊C4—21no—
1200C4⋊C4—41no—
1201C4⋊C4—42no—
1202C4⋊C4—42no—
1203C4⋊C4—42no—
1204C4⋊C4—42no—
1205C4⋊C4—42no—
1206C4⋊C4—42no—
1207C4⋊C4—81no—
1208C4⋊C4—81no—
1209C4⋊C4—81no—
1210C4⋊C4—81no—
1211C4⋊C4C22×D412yes—
1212C4⋊C4C22×D412yes—
1213C4⋊C4C22×D412yes—
1214C4⋊C4C2×#4112yes—
1215C22⋊C4—24no—
1216C22⋊C4—22no—
1217C22⋊C4—22no—
1218C22⋊C4—24no—
1219C22⋊C4—22no—
1220C22⋊C4—24no—
1221C22⋊C4—22no—
1222C22⋊C4—22no—
1223C22⋊C4—22no—
1224C22⋊C4—41no—
1225C22⋊C4—41no—
1226C22⋊C4—41no—
1227C22⋊C4—41no—
1228C22⋊C4—41no—
1229C22⋊C4—41no—
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—42no—
1250C22⋊C4—42no—
1251C22⋊C4—42no—
1252C22⋊C4—42no—
1253C22⋊C4—42no—
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—
1268C42—24no—
1269C42—21no—
1270C42—21no—
1271C42—21no—
1272C42—21no—
1273C42—21no—
1274C42—21no—
1275C42—42no—
1276C42—42no—
1277C42—42no—
1278C42—42no—
1279C42—42no—
1280C42—81no—
1281C42—81no—
1282C42—81no—
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—21no—
1298C23—21no—
1299C23—21no—
1300C23—21no—
1301C23—21no—
1302C23—22no—
1303C23—21no—
1304C23—22no—
1305C23—21no—
1306C23—21no—
1307C23—21no—
1308C23—21no—
1309C23—21no—
1310C23—21no—
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—41no—
1344C23—84no—
1345C23—84no—
1346C23—84no—
1347C23—84no—
1348C23—84no—
1349C23—84no—
1350C23—84no—
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—
1364C23—162no—
1365C23D4212yes—
1366C23#54612yes—
1367C23C23×D411yescharacteristic
1368Q8—44no—
1369Q8—162no—
1370D4—22no—
1371D4—22no—
1372D4—22no—
1373D4—22no—
1374D4—44no—
1375D4—44no—
1376D4—44no—
1377D4—44no—
1378D4—44no—
1379D4—41no—
1380D4—41no—
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—84no—
1396D4—84no—
1397D4—84no—
1398D4—84no—
1399D4—84no—
1400D4—82no—
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—
1416D4—162no—
1417D4—162no—
1418D4—162no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—22no—
1426C2×C4—22no—
1427C2×C4—22no—
1428C2×C4—22no—
1429C2×C4—22no—
1430C2×C4—22no—
1431C2×C4—22no—
1432C2×C4—22no—
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—22no—
1442C2×C4—22no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—22no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—22no—
1450C2×C4—21no—
1451C2×C4—21no—
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—41no—
1490C2×C4—41no—
1491C2×C4—41no—
1492C2×C4—41no—
1493C2×C4—41no—
1494C2×C4—41no—
1495C2×C4—84no—
1496C2×C4—84no—
1497C2×C4—84no—
1498C2×C4—162no—
1499C2×C4—162no—
1500C2×C4—162no—
1501C2×C4D4212yes—
1502C2×C4#54612yes—
1503C2×C4#57612yes—
1504C2×C4C23×D411yescharacteristic
1505C2×C4C22×#4111yescharacteristic
1506C2×C4C2×H(5,𝔽2)11yescharacteristic
1507C2×C4C2×H(5,𝔽2)11yescharacteristic
1508C2×C4#58511yescharacteristic
1509C2×C4#58511yescharacteristic
1510C8—22no—
1511C8—22no—
1512C8—41no—
1513C8—41no—
1514C8—41no—
1515C8—41no—
1516C8—41no—
1517C8—41no—
1518C22—22no—
1519C22—22no—
1520C22—22no—
1521C22—22no—
1522C22—22no—
1523C22—22no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—41no—
1529C22—41no—
1530C22—41no—
1531C22—41no—
1532C22—41no—
1533C22—42no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—41no—
1541C22—42no—
1542C22—42no—
1543C22—41no—
1544C22—41no—
1545C22—42no—
1546C22—41no—
1547C22—41no—
1548C22—42no—
1549C22—41no—
1550C22—42no—
1551C22—41no—
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—81no—
1575C22—81no—
1576C22—81no—
1577C22—81no—
1578C22—81no—
1579C22—81no—
1580C22—81no—
1581C22—168no—
1582C22—168no—
1583C22—168no—
1584C22C2×D4211yescharacteristic
1585C22C2×#54611yescharacteristic
1586C22#348511yescharacteristic
1587C22C2×#57611yescharacteristic
1588C22#358511yescharacteristic
1589C22#358511yescharacteristic
1590C22#358511yescharacteristic
1591C4—22no—
1592C4—22no—
1593C4—22no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—42no—
1600C4—42no—
1601C4—41no—
1602C4—42no—
1603C4—41no—
1604C4—42no—
1605C4—81no—
1606C4—81no—
1607C4—81no—
1608C4—81no—
1609C4—81no—
1610C4—81no—
1611C4—81no—
1612C4D4×#4111yescharacteristic
1613C4#348811yescharacteristic
1614C4#351311yescharacteristic
1615C4#353411yescharacteristic
1616C2—42no—
1617C2—42no—
1618C2—81no—
1619C2—81no—
1620C2—82no—
1621C2—82no—
1622C2—161no—
1623C2—161no—
1624C2—161no—
1625C2#5899411yescharacteristic
1626C2#6107211yescharacteristic
1627C2#6108211yescharacteristic
1628C2#6117511yescharacteristic
1629C2#6120511yescharacteristic
1630C2#6177811yescharacteristic
1631C2#6180211yescharacteristic
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. C2×#3325C2semidirect
2. C2×#3096C2semidirect
3. #44870C2semidirect
4. #35756C2semidirect
5. #31147C2semidirect
6. #31036C2semidirect
7. #30732C2semidirect
8. #30630C2semidirect
9. #28341C2semidirect
10. #27273C2semidirect
11. #26943C2semidirect
12. #26616C2semidirect
13. #26343C2semidirect
14. #26248C2semidirect
15. #26156C2semidirect
16. #25538C2semidirect
17. #25260C2semidirect
18. #25227C2semidirect
19. #25076C2semidirect
20. #24878C2semidirect
21. #24784C2semidirect
22. #24492C2semidirect
23. #24440C2semidirect
24. #24390C2semidirect
25. #24390C2semidirect
26. #24032C2semidirect
27. #23037C2semidirect
28. #22933C2semidirect
29. #22849C2semidirect
30. #22423C2semidirect
31. #20914C2semidirect
32. C2×#555C22semidirect
37. C2×#520C22semidirect
41. C2×#481C22semidirect
42. C2×#481C22semidirect
44. C2×#482C22semidirect
45. C2×#482C22semidirect
46. C2×#482C22semidirect
47. C2×#482C22semidirect
49. C2×#480C22semidirect
50. C2×#476C22semidirect
53. C2×#469C22semidirect
54. C2×#466C22semidirect
55. C2×#466C22semidirect
58. C2×#447C22semidirect
59. C2×#447C22semidirect
60. C2×C4×D8C22semidirect
61. C2×#436C22semidirect
62. C2×#435C22semidirect
63. C2×#428C22semidirect
64. C2×#427C22semidirect
66. C2×#418C22semidirect
67. C2×#418C22semidirect
68. C22×#102C22semidirect
69. C22×#102C22semidirect
70. C2×#408C22semidirect
71. C2×#408C22semidirect
77. #2615C22semidirect
82. #2504C22semidirect
83. #2486C22semidirect
88. #2439C22semidirect
89. #2439C22semidirect
98. #2414C22semidirect
99. #2414C22semidirect
106. #2361C22semidirect
107. #2361C22semidirect
108. #2352C22semidirect
109. #2352C22semidirect
110. #2347C22semidirect
111. #2092C22semidirect
112. #2092C22semidirect
113. #2088C22semidirect
114. #2085C22semidirect
115. #2077C22semidirect
116. #2073C22semidirect
117. #2067C22semidirect
118. #2067C22semidirect
119. #2067C22semidirect
120. #2067C22semidirect
121. #2057C22semidirect
122. #2054C22semidirect
126. #2041C22semidirect
127. #2034C22semidirect
128. #2034C22semidirect
129. #2034C22semidirect
130. #2033C22semidirect
131. #2033C22semidirect
132. #2033C22semidirect
133. #2033C22semidirect
134. #2033C22semidirect
135. #2023C22semidirect
137. #2011C22semidirect
138. #1999C22semidirect
139. #1999C22semidirect
140. #1999C22semidirect
141. #1999C22semidirect
142. #1999C22semidirect
144. #1982C22semidirect
145. #1972C22semidirect
146. #1972C22semidirect
148. #1961C22semidirect
149. #1955C22semidirect
150. #1949C22semidirect
151. #1944C22semidirect
152. #1941C22semidirect
153. #1936C22semidirect
154. #1934C22semidirect
155. #1926C22semidirect
156. #1926C22semidirect
157. #1925C22semidirect
158. #1925C22semidirect
159. #1924C22semidirect
160. #1923C22semidirect
161. #1920C22semidirect
162. #1918C22semidirect
163. #1895C22semidirect
164. #1895C22semidirect
165. #1895C22semidirect
168. #1879C22semidirect
169. #1879C22semidirect
171. #1875C22semidirect
172. #1875C22semidirect
173. #1875C22semidirect
174. #1875C22semidirect
175. #1875C22semidirect
176. #1875C22semidirect
178. #1874C22semidirect
179. #1874C22semidirect
180. #1874C22semidirect
181. #1870C22semidirect
182. #1870C22semidirect
183. #1869C22semidirect
184. #1864C22semidirect
185. #1864C22semidirect
186. #1862C22semidirect
187. #1862C22semidirect
188. #1854C22semidirect
189. #1854C22semidirect
190. #1854C22semidirect
191. #1851C22semidirect
192. #1850C22semidirect
193. #1809C22semidirect
194. #1804C22semidirect
197. #1786C22semidirect
198. #1786C22semidirect
199. #1776C22semidirect
200. #1762C22semidirect
201. #1753C22semidirect
202. #1752C22semidirect
203. #1736C22semidirect
204. #1735C22semidirect
303. #482D4semidirect
730. #117C2×D4semidirect
831. #107C2×D4semidirect
837. #106C2×D4semidirect
883. C22⋊C8C2×D4semidirect

Maximal subgroups

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

subgroupindex
C2×#33252
C2×#30962
#448702
#357562
#311472
#310362
#307322
#306302
#283412
#272732
#269432
#266162
#263432
#262482
#261562
#255382
#252602
#252272
#250762
#248782
#247842
#244922
#244402
#243902
#240322
#230372
#229332
#228492
#224232
#209142