Finite Group Databasebeta

← #7056172

Subgroups — #7056172

Order 512.

2196 conjugacy classes of subgroups.

The subgroup lattice has 1602 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3268C211yesmaximal, characteristic, complemented
2C2×#3257C211yesmaximal, characteristic, complemented
3#45018C211yesmaximal, characteristic, complemented
4#44889C211yesmaximal, characteristic, complemented
5#31174C211yesmaximal, characteristic, complemented
6#31161C211yesmaximal, characteristic, complemented
7#30919C211yesmaximal, characteristic, complemented
8#30906C211yesmaximal, characteristic, complemented
9#30763C211yesmaximal, characteristic, complemented
10#30752C211yesmaximal, characteristic, complemented
11#30462C211yesmaximal, characteristic, complemented
12#30447C211yesmaximal, characteristic, complemented
13#28557C211yesmaximal, characteristic, complemented
14#27249C211yesmaximal, characteristic, complemented
15#27235C211yesmaximal, characteristic, complemented
16#26916C211yesmaximal, characteristic, complemented
17#26913C211yesmaximal, characteristic, complemented
18#25794C211yesmaximal, characteristic, complemented
19#25383C211yesmaximal, characteristic, complemented
20#25364C211yesmaximal, characteristic, complemented
21#25091C211yesmaximal, characteristic, complemented
22#25076C211yesmaximal, characteristic, complemented
23#24435C211yesmaximal, characteristic, complemented
24#24434C211yesmaximal, characteristic, complemented
25#24364C211yesmaximal, characteristic, complemented
26#24362C211yesmaximal, characteristic, complemented
27#23947C211yesmaximal, characteristic, complemented
28#23939C211yesmaximal, characteristic, complemented
29#23544C211yesmaximal, characteristic, complemented
30#23138C211yesmaximal, characteristic, complemented
31#22072C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic
33C22×#135C2211yescharacteristic
34C2×#550C2211yescharacteristic
35C2×#546C2211yescharacteristic
36C2×#542C2211yescharacteristic
37C2×#540C2211yescharacteristic
38#3268—28no—
39#3257—28no—
40C2×#496C2211yescharacteristic
41C2×#496C2211yescharacteristic
42C2×#493C2211yescharacteristic
43C2×#479C2211yescharacteristic, complemented
44C2×#478C2211yescharacteristic, complemented
45C2×#476C2211yescharacteristic, complemented
46C2×#474C2211yescharacteristic, complemented
47C2×#469C2211yescharacteristic
48C2×#468C2211yescharacteristic
49C2×#466C2211yescharacteristic
50C2×#466C2211yescharacteristic
51C2×#465C2211yescharacteristic
52C2×#464C2211yescharacteristic
53C2×#464C2211yescharacteristic, complemented
54C2×#460C2211yescharacteristic, complemented
55C2×#463C2211yescharacteristic, complemented
56C2×#463C2211yescharacteristic, complemented
57C2×#459C2211yescharacteristic
58C2×#459C2211yescharacteristic
59C2×#459C2211yescharacteristic, complemented
60C2×#452C2211yescharacteristic
61C2×#449C2211yescharacteristic
62C2×#449C2211yescharacteristic
63C2×#449C2211yescharacteristic
64C2×#449C2211yescharacteristic
65C2×#449C2211yescharacteristic, complemented
66C2×#447C2211yescharacteristic
67C2×#447C2211yescharacteristic
68C2×#440C2211yescharacteristic
69C2×#435C2211yescharacteristic
70C2×#424C2211yescharacteristic
71C2×#416C2211yescharacteristic
72C22×#102C2211yescharacteristic
73#2714—21no—
74#2703—21no—
75#2696—21no—
76#2688—21no—
77#2678—21no—
78#2673—21no—
79#2671—21no—
80#2670—21no—
81#2554—21no—
82#2548C2211yescharacteristic
83#2543—21no—
84#2541C2211yescharacteristic, complemented
85#2540—21no—
86#2491C2211yescharacteristic
87#2490C2211yescharacteristic, complemented
88#2472—21no—
89#2457—21no—
90#2453C2211yescharacteristic, complemented
91#2452C2211yescharacteristic
92#2448C2211yescharacteristic
93#2445C2211yescharacteristic, complemented
94#2433C2211yescharacteristic
95#2431C2211yescharacteristic
96#2431C2211yescharacteristic
97#2431C2211yescharacteristic, complemented
98#2428—21no—
99#2428C2211yescharacteristic
100#2428C2211yescharacteristic, complemented
101#2425—21no—
102#2418—21no—
103#2416C2211yescharacteristic
104#2414C2211yescharacteristic
105#2395C2211yescharacteristic
106#2367C2211yescharacteristic, complemented
107#2366C2211yescharacteristic
108#2362C2211yescharacteristic
109#2361C2211yescharacteristic
110#2341C2211yescharacteristic
111#2339C2211yescharacteristic, complemented
112#2311C2211yescharacteristic
113#2309C2211yescharacteristic
114#2088C2211yescharacteristic, complemented
115#2077C2211yescharacteristic, complemented
116#2067C2211yescharacteristic
117#2065C2211yescharacteristic, complemented
118#2056C2211yescharacteristic, complemented
119#2055C2211yescharacteristic
120#2055C2211yescharacteristic
121#2055C2211yescharacteristic
122#2055C2211yescharacteristic
123#2054C2211yescharacteristic
124#2054C2211yescharacteristic
125#2054C2211yescharacteristic
126#2054C2211yescharacteristic
127#2054C2211yescharacteristic
128#2054C2211yescharacteristic, complemented
129#2042C2211yescharacteristic
130#2042C2211yescharacteristic, complemented
131#2041C2211yescharacteristic
132#2041C2211yescharacteristic, complemented
133#2034C2211yescharacteristic
134#2033C2211yescharacteristic, complemented
135#2025C2211yescharacteristic
136#2025C2211yescharacteristic
137#2024C2211yescharacteristic, complemented
138#2023C2211yescharacteristic, complemented
139#2015C2211yescharacteristic, complemented
140#2014C2211yescharacteristic
141#2014C2211yescharacteristic, complemented
142#2012C2211yescharacteristic
143#2012C2211yescharacteristic
144#2012C2211yescharacteristic, complemented
145#2011C2211yescharacteristic
146#2011C2211yescharacteristic
147#2011C2211yescharacteristic
148#2011C2211yescharacteristic
149#2011C2211yescharacteristic
150#2011C2211yescharacteristic, complemented
151#1999C2211yescharacteristic
152#1999C2211yescharacteristic, complemented
153#1999C2211yescharacteristic, complemented
154#1982C2211yescharacteristic
155#1982C2211yescharacteristic, complemented
156#1972C2211yescharacteristic
157#1968C2211yescharacteristic
158#1940C2211yescharacteristic, complemented
159#1939C2211yescharacteristic, complemented
160#1936C2211yescharacteristic, complemented
161#1936C2211yescharacteristic, complemented
162#1936C2211yescharacteristic, complemented
163#1933C2211yescharacteristic, complemented
164#1927C2211yescharacteristic, complemented
165#1925C2211yescharacteristic
166#1924C2211yescharacteristic, complemented
167#1923C2211yescharacteristic, complemented
168#1921C2211yescharacteristic, complemented
169#1918C2211yescharacteristic, complemented
170#1917C2211yescharacteristic, complemented
171#1917C2211yescharacteristic, complemented
172#1893C2211yescharacteristic, complemented
173#1893C2211yescharacteristic, complemented
174#1880C2211yescharacteristic, complemented
175#1880C2211yescharacteristic, complemented
176#1880C2211yescharacteristic, complemented
177#1880C2211yescharacteristic, complemented
178#1879C2211yescharacteristic
179#1879C2211yescharacteristic
180#1879C2211yescharacteristic
181#1879C2211yescharacteristic
182#1879C2211yescharacteristic
183#1879C2211yescharacteristic
184#1879C2211yescharacteristic, complemented
185#1878C2211yescharacteristic, complemented
186#1877C2211yescharacteristic, complemented
187#1877C2211yescharacteristic, complemented
188#1875C2211yescharacteristic
189#1875C2211yescharacteristic
190#1874C2211yescharacteristic
191#1872C2211yescharacteristic
192#1869C2211yescharacteristic
193#1864C2211yescharacteristic
194#1863C2211yescharacteristic, complemented
195#1850C2211yescharacteristic
196#1850C2211yescharacteristic, complemented
197#1850C2211yescharacteristic, complemented
198#1818C2211yescharacteristic
199#1788C2211yescharacteristic
200#1788C2211yescharacteristic, complemented
201#1763C2211yescharacteristic, complemented
202C4×#102C2211yescharacteristic, complemented
203#1753C2211yescharacteristic
204#1736C2211yescharacteristic
205C22×#41C2311yescharacteristic
206C22×#41C2311yescharacteristic
207C22×#41C2311yescharacteristic
208C23×D4C2311yescharacteristic
209C2×AGL(1,ℤ/8)—24no—
210C2×AGL(1,ℤ/8)—42no—
211C2×AGL(1,ℤ/8)—42no—
212C2×#135—24no—
213C2×#135—42no—
214C2×#135—42no—
215C22×Q16C2311yescharacteristic
216C22×SD16C2311yescharacteristic
217C22×SD16C2311yescharacteristic
218C22×SD16C2311yescharacteristic
219C22×SD16C2311yescharacteristic
220C22×SD16C2311yescharacteristic
221C22×SD16C2311yescharacteristic
222C22×D8C2311yescharacteristic
223C22×D8C2311yescharacteristic
224C22×D8C2311yescharacteristic
225C22×D8C2311yescharacteristic
226C22×D8C2311yescharacteristic
227C22×D8C2311yescharacteristic
228C22×D8C2311yescharacteristic
229C22×D8C2311yescharacteristic
230C22×D8C2311yescharacteristic
231C22×M16C2311yescharacteristic
232C23×C8C2311yescharacteristic
233C23×C8C2311yescharacteristic
234#550—24no—
235#550—42no—
236#546—24no—
237#546—42no—
238#542—24no—
239#542—42no—
240#540—24no—
241#540—42no—
242C2×C4⋊Q8C2311yescharacteristic
243C2×#127—21no—
244C2×#127C2311yescharacteristic
245C2×#127C2311yescharacteristic
246C2×#127C2311yescharacteristic
247C2×#127C2311yescharacteristic
248C2×#127C2311yescharacteristic
249C2×#126—21no—
250C2×#125C2311yescharacteristic
251C2×#124—21no—
252C2×#124—21no—
253C2×#124C2311yescharacteristic
254C2×#124C2311yescharacteristic
255C2×#124C2311yescharacteristic
256C2×#123—21no—
257C2×#123—21no—
258C2×#123—21no—
259C2×#123—21no—
260C2×#123—21no—
261C2×C22⋊Q8—21no—
262C2×C22⋊Q8—21no—
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×#121—21no—
272C2×#121—21no—
273C2×#121—21no—
274C2×#121C2311yescharacteristic
275C2×#121C2311yescharacteristic
276C2×#121C2311yescharacteristic
277C2×#121C2311yescharacteristic
278C2×#121C2311yescharacteristic
279C2×#121C2311yescharacteristic
280C2×#121C2311yescharacteristic
281C2×#120—21no—
282C2×#120—21no—
283C2×#120—21no—
284C2×C4×Q8C2311yescharacteristic
285C2×C4×Q8C2311yescharacteristic
286C2×C4×Q8C2311yescharacteristic
287C2×C4×D4—21no—
288C2×C4×D4—21no—
289C2×C4×D4—21no—
290C2×C4×D4C2311yescharacteristic
291C2×C4×D4C2311yescharacteristic
292C2×C4×D4C2311yescharacteristic
293C2×C4×D4C2311yescharacteristic
294C2×C4×D4C2311yescharacteristic
295C2×C4×D4C2311yescharacteristic
296C2×#117C2311yescharacteristic
297C2×#117C2311yescharacteristic
298C22×C4⋊C4C2311yescharacteristic
299C22×C22⋊C4—21no—
300#496—24no—
301#496—42no—
302#493—42no—
303#479—24no—
304#478—24no—
305#476—24no—
306#474—24no—
307#469—24no—
308#468D418yescomplemented
309#466—24no—
310#466—24no—
311#465—24no—
312#464—24no—
313#464—42no—
314#463—24no—
315#463—24no—
316#460—24no—
317#459—24no—
318#459—24no—
319#459—42no—
320#452—24no—
321#449—24no—
322#449—24no—
323#449—42no—
324#449—42no—
325#449—42no—
326#447—24no—
327#447—42no—
328#440—24no—
329#435—24no—
330C2×#107C2311yescharacteristic
331C2×#107C2311yescharacteristic
332C2×#106C2311yescharacteristic
333C2×#106C2311yescharacteristic
334#424—24no—
335C2×C4⋊C8C2311yescharacteristic
336C2×C4⋊C8C2311yescharacteristic
337C2×C4⋊C8C2311yescharacteristic
338C2×C4⋊C8C2311yescharacteristic
339C2×C4⋊C8C2311yescharacteristic
340C2×C4⋊C8C2311yescharacteristic
341C2×C4⋊C8C2311yescharacteristic
342#416—42no—
343C2×#103C2311yescharacteristic
344C2×#103C2311yescharacteristic
345C2×#103C2311yescharacteristic
346C2×#103C2311yescharacteristic
347C2×#103C2311yescharacteristic
348C2×#103C2311yescharacteristic
349C2×#103C2311yescharacteristic
350C2×#103C2311yescharacteristic
351C2×#102—42no—
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
381C2×#97C2311yescharacteristic
382C2×#97C2311yescharacteristic
383C2×C4×C8C2311yescharacteristic
384#400—21no—
385#400D411yescharacteristic
386#399—21no—
387#399D411yescharacteristic
388#398—21no—
389#398D411yescharacteristic
390#397—21no—
391#397—21no—
392#397D411yescharacteristic
393#397D411yescharacteristic
394#397D411yescharacteristic
395#396—21no—
396#396—21no—
397#394—21no—
398#394—21no—
399#394—21no—
400#394—21no—
401#394—21no—
402#394—21no—
403#394—21no—
404#394—21no—
405#394—21no—
406#394—21no—
407#394D411yescharacteristic
408#394D411yescharacteristic
409#393—21no—
410#393—21no—
411#392—21no—
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#391C2311yescharacteristic
425#391C2311yescharacteristic
426#391C2311yescharacteristic
427#391C2311yescharacteristic
428#390—21no—
429#390—21no—
430#390—21no—
431#390—21no—
432#390—21no—
433#390—21no—
434#390—21no—
435#390—21no—
436#390—21no—
437#390C2311yescharacteristic
438#390C2311yescharacteristic
439#390C2311yescharacteristic
440#390C2311yescharacteristic
441#390C2311yescharacteristic
442#390C2311yescharacteristic
443#390C2311yescharacteristic
444#390C2311yescharacteristic
445#390C2311yescharacteristic
446#390C2311yescharacteristic
447#390C2311yescharacteristic
448#390C2311yescharacteristic
449#389—21no—
450#389C2311yescharacteristic
451#389C2311yescharacteristic
452#389C2311yescharacteristic
453#389C2311yescharacteristic
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#386—21no—
467#386—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#386—21no—
479#386—21no—
480#386—21no—
481#386—21no—
482#386—21no—
483#385—21no—
484#385—21no—
485#385—21no—
486#381—21no—
487#380—21no—
488#380—21no—
489#380—21no—
490#380C2311yescharacteristic
491#380C2311yescharacteristic
492#379—21no—
493#379—21no—
494C4×C4⋊C4—21no—
495C4×C4⋊C4C2311yescharacteristic
496C4×C4⋊C4C2311yescharacteristic
497C4×C4⋊C4C2311yescharacteristic
498C4×C4⋊C4C2311yescharacteristic
499C4×C22⋊C4—21no—
500C4×C22⋊C4—21no—
501C4×C22⋊C4C2311yescharacteristic
502C4×C22⋊C4C2311yescharacteristic
503C4×C22⋊C4C2311yescharacteristic
504C2×#95—21no—
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#336C2311yescharacteristic
518#336C2311yescharacteristic
519#336C2311yescharacteristic
520#336C2311yescharacteristic
521#336C2311yescharacteristic
522#336C2311yescharacteristic
523#336C2311yescharacteristic
524#336C2311yescharacteristic
525#336C2311yescharacteristic
526#336C2311yescharacteristic
527C25—21no—
528C2×#41—22no—
529C2×#41—22no—
530C2×#41—22no—
531C2×#41—22no—
532C2×#41—22no—
533C2×#41—22no—
534C2×#41—22no—
535C2×#41—41no—
536C2×#41—41no—
537C2×#41—41no—
538C2×#41—41no—
539C2×#41—41no—
540C2×#41—41no—
541C2×#41—41no—
542C2×#41—41no—
543C2×#41—41no—
544C2×#41—41no—
545C2×#41—41no—
546C22×Q8—21no—
547C22×Q8C2411yescharacteristic
548C22×Q8C2411yescharacteristic
549C22×D4—21no—
550C22×D4—22no—
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—22no—
561C22×D4—21no—
562C22×D4—21no—
563C22×D4—21no—
564C22×D4—21no—
565C22×D4—21no—
566C22×D4—21no—
567C22×D4—21no—
568C22×D4—21no—
569C22×D4—21no—
570C22×D4—21no—
571C22×D4—21no—
572C22×D4—22no—
573C22×D4—41no—
574C22×D4—41no—
575C22×D4—41no—
576C22×D4C2×D411yescharacteristic
577C22×D4C2411yescharacteristic
578C22×D4C2411yescharacteristic
579C22×D4C2411yescharacteristic
580C22×D4C2411yescharacteristic
581C22×D4C2411yescharacteristic
582C22×D4C2411yescharacteristic
583C23×C4—21no—
584C23×C4—21no—
585C23×C4—21no—
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—
595#135—416no—
596C2×Q16—22no—
597C2×Q16—22no—
598C2×Q16—41no—
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—41no—
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×SD16C2×D414yes—
617C2×D8—22no—
618C2×D8—22no—
619C2×D8—22no—
620C2×D8—22no—
621C2×D8—22no—
622C2×D8—22no—
623C2×D8—22no—
624C2×D8—22no—
625C2×D8—22no—
626C2×D8—41no—
627C2×D8—41no—
628C2×D8—41no—
629C2×D8—41no—
630C2×D8—41no—
631C2×D8—41no—
632C2×D8—41no—
633C2×D8—41no—
634C2×D8—41no—
635C2×D8—41no—
636C2×D8—41no—
637C2×D8—41no—
638C2×D8—41no—
639C2×D8—41no—
640C2×D8—41no—
641C2×D8—41no—
642C2×D8—41no—
643C2×D8—41no—
644C2×M16—41no—
645C2×M16—41no—
646C2×M16C2×D414yes—
647C22×C8—22no—
648C22×C8—22no—
649C22×C8—41no—
650C22×C8—41no—
651C22×C8—41no—
652C22×C8—41no—
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#127—41no—
672#127—41no—
673#127—44no—
674#126—44no—
675#125—22no—
676#125—41no—
677#124—22no—
678#124—22no—
679#124—22no—
680#124—41no—
681#124—41no—
682#124—41no—
683#124—44no—
684#124—82no—
685#123—44no—
686#123—44no—
687#123—44no—
688#123—44no—
689#123—82no—
690C22⋊Q8—22no—
691C22⋊Q8—44no—
692C22⋊Q8—82no—
693C22⋊Q8C2×D414yes—
694#121—22no—
695#121—22no—
696#121—22no—
697#121—22no—
698#121—22no—
699#121—22no—
700#121—22no—
701#121—44no—
702#121—44no—
703#121—44no—
704#121—44no—
705#121—44no—
706#121—41no—
707#121—41no—
708#121—41no—
709#121—41no—
710#121—41no—
711#121—41no—
712#121—82no—
713#121—82no—
714#121—82no—
715#121—82no—
716#121—82no—
717#121C2×D414yes—
718#120—44no—
719#120—82no—
720#120—82no—
721C4×Q8—22no—
722C4×Q8—22no—
723C4×Q8—41no—
724C4×Q8—41no—
725C4×Q8—41no—
726C4×Q8—41no—
727C4×D4—22no—
728C4×D4—22no—
729C4×D4—22no—
730C4×D4—22no—
731C4×D4—22no—
732C4×D4—22no—
733C4×D4—41no—
734C4×D4—41no—
735C4×D4—41no—
736C4×D4—41no—
737C4×D4—41no—
738C4×D4—41no—
739C4×D4—44no—
740C4×D4—82no—
741C4×D4—82no—
742#117—22no—
743#117—22no—
744#117—41no—
745#117—41no—
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—41no—
759C2×C4⋊C4—41no—
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—44no—
822C2×C22⋊C4C2×D411yescharacteristic
823C2×C22⋊C4C2×D411yescharacteristic
824C2×C22⋊C4C2×D411yescharacteristic
825C2×C22⋊C4C2×D411yescharacteristic
826C2×C22⋊C4C2×D411yescharacteristic
827C2×C22⋊C4C2×D411yescharacteristic
828C2×C22⋊C4C2×D411yescharacteristic
829C2×C22⋊C4C2×D411yescharacteristic
830C2×C22⋊C4C2×D411yescharacteristic
831C2×C22⋊C4C2×D411yescharacteristic
832C2×C42—21no—
833C2×C42—21no—
834C2×C42—21no—
835C2×C42—21no—
836C2×C42—21no—
837C2×C42—21no—
838C2×C42C2411yescharacteristic
839C2×C42C2411yescharacteristic
840C2×C42C2411yescharacteristic
841C2×C42C2411yescharacteristic
842C2×C42C2411yescharacteristic
843#107—22no—
844#107C2×D414yes—
845#106—22no—
846#106—22no—
847C4⋊C8—22no—
848C4⋊C8—22no—
849C4⋊C8—22no—
850C4⋊C8—22no—
851C4⋊C8—22no—
852C4⋊C8—41no—
853C4⋊C8—41no—
854#103—22no—
855#103—22no—
856#103—22no—
857#103—22no—
858#103—41no—
859#103—41no—
860#103—41no—
861#103C2×D414yes—
862#102—22no—
863#102—22no—
864#102—22no—
865#102—22no—
866#102—22no—
867#102—22no—
868#102—22no—
869#102—22no—
870#102—22no—
871#102—22no—
872#102—41no—
873#102—41no—
874#102—41no—
875#102—41no—
876#102—41no—
877#102—41no—
878#102—41no—
879#102—41no—
880#102—41no—
881#102—41no—
882#102—41no—
883#102—41no—
884#102—41no—
885#102C2×D414yes—
886C22⋊C8—22no—
887C22⋊C8—22no—
888C22⋊C8—22no—
889C22⋊C8—41no—
890C22⋊C8—41no—
891#97—22no—
892#97—41no—
893C4×C8—41no—
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#95—21no—
907#95—21no—
908#95—21no—
909#95—21no—
910#95C2×D411yescharacteristic
911#95C2×D411yescharacteristic
912#95C2×D411yescharacteristic
913#95C2×D411yescharacteristic
914#95C2×D411yescharacteristic
915#95C2×D411yescharacteristic
916#95C2×D411yescharacteristic
917#95C2×D411yescharacteristic
918#95C2×D411yescharacteristic
919#95C2×D411yescharacteristic
920C24—21no—
921C24—21no—
922C24—21no—
923C24—21no—
924C24—21no—
925C24—21no—
926C24—42no—
927C24—42no—
928C24—81no—
929C24—81no—
930C24—81no—
931C24—81no—
932C24—81no—
933C24C22×D411yescharacteristic
934C24C22×D411yescharacteristic
935#41—44no—
936#41—44no—
937#41—44no—
938#41—44no—
939#41—82no—
940#41—82no—
941#41—82no—
942#41—82no—
943#41—82no—
944#41—82no—
945#41—82no—
946#41—82no—
947C2×Q8—21no—
948C2×Q8—21no—
949C2×Q8—21no—
950C2×Q8—21no—
951C2×Q8—21no—
952C2×Q8—21no—
953C2×Q8—21no—
954C2×Q8—21no—
955C2×Q8—21no—
956C2×Q8—21no—
957C2×Q8—42no—
958C2×Q8—81no—
959C2×Q8—81no—
960C2×Q8C22×D412yes—
961C2×Q8H(5,𝔽2)12yes—
962C2×D4—22no—
963C2×D4—24no—
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—21no—
992C2×D4—21no—
993C2×D4—21no—
994C2×D4—21no—
995C2×D4—21no—
996C2×D4—21no—
997C2×D4—21no—
998C2×D4—44no—
999C2×D4—44no—
1000C2×D4—41no—
1001C2×D4—41no—
1002C2×D4—42no—
1003C2×D4—42no—
1004C2×D4—42no—
1005C2×D4—42no—
1006C2×D4—42no—
1007C2×D4—42no—
1008C2×D4—42no—
1009C2×D4—42no—
1010C2×D4—42no—
1011C2×D4—42no—
1012C2×D4—42no—
1013C2×D4—42no—
1014C2×D4—42no—
1015C2×D4—42no—
1016C2×D4—42no—
1017C2×D4—42no—
1018C2×D4—42no—
1019C2×D4—42no—
1020C2×D4—42no—
1021C2×D4—42no—
1022C2×D4—42no—
1023C2×D4—42no—
1024C2×D4—82no—
1025C2×D4—82no—
1026C2×D4—81no—
1027C2×D4—81no—
1028C2×D4—81no—
1029C2×D4—81no—
1030C2×D4—81no—
1031C2×D4—81no—
1032C2×D4—81no—
1033C2×D4—81no—
1034C2×D4—81no—
1035C2×D4—81no—
1036C2×D4—81no—
1037C2×D4—81no—
1038C2×D4—81no—
1039C2×D4—81no—
1040C2×D4—81no—
1041C2×D4—81no—
1042C2×D4—81no—
1043C2×D4—81no—
1044C2×D4—81no—
1045C2×D4—81no—
1046C2×D4—81no—
1047C2×D4—81no—
1048C2×D4—81no—
1049C2×D4—81no—
1050C2×D4—81no—
1051C2×D4—81no—
1052C2×D4—81no—
1053C2×D4—81no—
1054C2×D4—81no—
1055C2×D4—81no—
1056C2×D4—81no—
1057C2×D4—81no—
1058C2×D4—81no—
1059C2×D4—81no—
1060C2×D4—81no—
1061C2×D4—81no—
1062C2×D4—81no—
1063C2×D4—81no—
1064C2×D4—81no—
1065C2×D4—81no—
1066C2×D4C22×D412yes—
1067C2×D4H(5,𝔽2)12yes—
1068C22×C4—21no—
1069C22×C4—21no—
1070C22×C4—21no—
1071C22×C4—21no—
1072C22×C4—21no—
1073C22×C4—21no—
1074C22×C4—21no—
1075C22×C4—21no—
1076C22×C4—21no—
1077C22×C4—21no—
1078C22×C4—21no—
1079C22×C4—21no—
1080C22×C4—21no—
1081C22×C4—21no—
1082C22×C4—21no—
1083C22×C4—21no—
1084C22×C4—21no—
1085C22×C4—21no—
1086C22×C4—21no—
1087C22×C4—21no—
1088C22×C4—42no—
1089C22×C4—42no—
1090C22×C4—42no—
1091C22×C4—42no—
1092C22×C4—42no—
1093C22×C4—42no—
1094C22×C4—42no—
1095C22×C4—42no—
1096C22×C4—42no—
1097C22×C4—42no—
1098C22×C4—42no—
1099C22×C4—81no—
1100C22×C4—81no—
1101C22×C4—81no—
1102C22×C4—81no—
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×C4—81no—
1114C22×C4—81no—
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×D411yescharacteristic
1126C22×C4C22×D412yes—
1127C22×C4C22×D411yescharacteristic
1128C22×C4H(5,𝔽2)12yes—
1129C22×C4C2511yescharacteristic
1130Q16—44no—
1131SD16—28no—
1132SD16—44no—
1133SD16—44no—
1134SD16—82no—
1135SD16—82no—
1136SD16—82no—
1137D8—44no—
1138D8—44no—
1139D8—44no—
1140D8—82no—
1141D8—82no—
1142D8—82no—
1143D8—82no—
1144D8—82no—
1145D8—82no—
1146M16—44no—
1147C2×C8—21no—
1148C2×C8—21no—
1149C2×C8—21no—
1150C2×C8—21no—
1151C2×C8—21no—
1152C2×C8—21no—
1153C2×C8—21no—
1154C2×C8—21no—
1155C2×C8—21no—
1156C2×C8—21no—
1157C2×C8—21no—
1158C2×C8—21no—
1159C2×C8—21no—
1160C2×C8—21no—
1161C2×C8—21no—
1162C2×C8—21no—
1163C2×C8—21no—
1164C2×C8—21no—
1165C2×C8—21no—
1166C2×C8—21no—
1167C2×C8—21no—
1168C2×C8—21no—
1169C2×C8—44no—
1170C2×C8—82no—
1171C2×C8C22×D412yes—
1172C2×C8C22×D412yes—
1173C4⋊C4—24no—
1174C4⋊C4—22no—
1175C4⋊C4—22no—
1176C4⋊C4—22no—
1177C4⋊C4—22no—
1178C4⋊C4—21no—
1179C4⋊C4—21no—
1180C4⋊C4—21no—
1181C4⋊C4—21no—
1182C4⋊C4—21no—
1183C4⋊C4—21no—
1184C4⋊C4—21no—
1185C4⋊C4—21no—
1186C4⋊C4—21no—
1187C4⋊C4—21no—
1188C4⋊C4—21no—
1189C4⋊C4—21no—
1190C4⋊C4—21no—
1191C4⋊C4—21no—
1192C4⋊C4—41no—
1193C4⋊C4—41no—
1194C4⋊C4—41no—
1195C4⋊C4—42no—
1196C4⋊C4—42no—
1197C4⋊C4—42no—
1198C4⋊C4—42no—
1199C4⋊C4—42no—
1200C4⋊C4—42no—
1201C4⋊C4—42no—
1202C4⋊C4—42no—
1203C4⋊C4—81no—
1204C4⋊C4—81no—
1205C4⋊C4—81no—
1206C4⋊C4C22×D412yes—
1207C4⋊C4C22×D412yes—
1208C22⋊C4—24no—
1209C22⋊C4—22no—
1210C22⋊C4—22no—
1211C22⋊C4—22no—
1212C22⋊C4—24no—
1213C22⋊C4—22no—
1214C22⋊C4—22no—
1215C22⋊C4—22no—
1216C22⋊C4—41no—
1217C22⋊C4—41no—
1218C22⋊C4—41no—
1219C22⋊C4—41no—
1220C22⋊C4—42no—
1221C22⋊C4—42no—
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—81no—
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—
1264C42—21no—
1265C42—21no—
1266C42—21no—
1267C42—21no—
1268C42—21no—
1269C42—21no—
1270C42—21no—
1271C42—21no—
1272C42—21no—
1273C42—21no—
1274C42—42no—
1275C42—42no—
1276C42—42no—
1277C42—81no—
1278C42—81no—
1279C42—81no—
1280C23—21no—
1281C23—21no—
1282C23—21no—
1283C23—21no—
1284C23—21no—
1285C23—21no—
1286C23—21no—
1287C23—21no—
1288C23—21no—
1289C23—22no—
1290C23—21no—
1291C23—21no—
1292C23—21no—
1293C23—22no—
1294C23—21no—
1295C23—41no—
1296C23—41no—
1297C23—41no—
1298C23—41no—
1299C23—41no—
1300C23—41no—
1301C23—41no—
1302C23—41no—
1303C23—41no—
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—84no—
1336C23—84no—
1337C23—162no—
1338C23—162no—
1339C23—162no—
1340C23—162no—
1341C23—162no—
1342C23D4212yes—
1343C23C23×D411yescharacteristic
1344Q8—22no—
1345Q8—22no—
1346Q8—22no—
1347Q8—22no—
1348Q8—41no—
1349Q8—41no—
1350Q8—41no—
1351Q8—41no—
1352Q8—162no—
1353D4—22no—
1354D4—22no—
1355D4—22no—
1356D4—22no—
1357D4—41no—
1358D4—41no—
1359D4—41no—
1360D4—41no—
1361D4—41no—
1362D4—41no—
1363D4—41no—
1364D4—41no—
1365D4—41no—
1366D4—41no—
1367D4—41no—
1368D4—41no—
1369D4—41no—
1370D4—41no—
1371D4—41no—
1372D4—41no—
1373D4—41no—
1374D4—41no—
1375D4—41no—
1376D4—41no—
1377D4—84no—
1378D4—84no—
1379D4—82no—
1380D4—84no—
1381D4—84no—
1382D4—84no—
1383D4—84no—
1384D4—84no—
1385D4—162no—
1386D4—162no—
1387D4—162no—
1388D4—162no—
1389D4—162no—
1390D4—162no—
1391D4—162no—
1392D4—162no—
1393D4—162no—
1394D4—162no—
1395D4—162no—
1396D4—162no—
1397D4—162no—
1398D4—162no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—22no—
1404C2×C4—22no—
1405C2×C4—22no—
1406C2×C4—22no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—22no—
1428C2×C4—22no—
1429C2×C4—21no—
1430C2×C4—22no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—22no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—41no—
1442C2×C4—41no—
1443C2×C4—41no—
1444C2×C4—41no—
1445C2×C4—41no—
1446C2×C4—41no—
1447C2×C4—41no—
1448C2×C4—41no—
1449C2×C4—41no—
1450C2×C4—41no—
1451C2×C4—41no—
1452C2×C4—41no—
1453C2×C4—41no—
1454C2×C4—41no—
1455C2×C4—41no—
1456C2×C4—41no—
1457C2×C4—41no—
1458C2×C4—41no—
1459C2×C4—41no—
1460C2×C4—41no—
1461C2×C4—41no—
1462C2×C4—41no—
1463C2×C4—41no—
1464C2×C4—41no—
1465C2×C4—41no—
1466C2×C4—41no—
1467C2×C4—41no—
1468C2×C4—41no—
1469C2×C4—41no—
1470C2×C4—41no—
1471C2×C4—84no—
1472C2×C4—84no—
1473C2×C4—84no—
1474C2×C4—162no—
1475C2×C4—162no—
1476C2×C4—162no—
1477C2×C4—162no—
1478C2×C4—162no—
1479C2×C4—162no—
1480C2×C4D4212yes—
1481C2×C4#57612yes—
1482C2×C4C23×D411yescharacteristic
1483C2×C4C2×H(5,𝔽2)11yescharacteristic
1484C2×C4C2×H(5,𝔽2)11yescharacteristic
1485C2×C4C2×H(5,𝔽2)11yescharacteristic
1486C2×C4#58511yescharacteristic
1487C2×C4#58511yescharacteristic
1488C8—22no—
1489C8—22no—
1490C8—41no—
1491C8—41no—
1492C8—41no—
1493C8—41no—
1494C8—41no—
1495C8—41no—
1496C22—22no—
1497C22—22no—
1498C22—22no—
1499C22—41no—
1500C22—41no—
1501C22—41no—
1502C22—41no—
1503C22—42no—
1504C22—41no—
1505C22—42no—
1506C22—41no—
1507C22—41no—
1508C22—42no—
1509C22—42no—
1510C22—41no—
1511C22—41no—
1512C22—42no—
1513C22—41no—
1514C22—42no—
1515C22—41no—
1516C22—81no—
1517C22—81no—
1518C22—81no—
1519C22—81no—
1520C22—81no—
1521C22—81no—
1522C22—81no—
1523C22—81no—
1524C22—81no—
1525C22—81no—
1526C22—81no—
1527C22—81no—
1528C22—81no—
1529C22—81no—
1530C22—81no—
1531C22—81no—
1532C22—81no—
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—168no—
1553C22C2×D4211yescharacteristic
1554C22#348811yescharacteristic
1555C22#348811yescharacteristic
1556C22C2×#57611yescharacteristic
1557C22#358411yescharacteristic
1558C22#358511yescharacteristic
1559C22#358511yescharacteristic
1560C4—22no—
1561C4—22no—
1562C4—41no—
1563C4—41no—
1564C4—42no—
1565C4—42no—
1566C4—41no—
1567C4—41no—
1568C4—41no—
1569C4—41no—
1570C4—41no—
1571C4—41no—
1572C4—41no—
1573C4—41no—
1574C4—42no—
1575C4—42no—
1576C4—81no—
1577C4—81no—
1578C4—81no—
1579C4—81no—
1580C4—81no—
1581C4—81no—
1582C4#348411yescharacteristic
1583C4#350011yescharacteristic
1584C4#353411yescharacteristic
1585C4#353411yescharacteristic
1586C2—42no—
1587C2—81no—
1588C2—82no—
1589C2—82no—
1590C2—161no—
1591C2—161no—
1592C2—161no—
1593C2—161no—
1594C2#4388911yescharacteristic
1595C2#6107711yescharacteristic
1596C2#6109311yescharacteristic
1597C2#6200711yescharacteristic
1598C2#6201111yescharacteristic
1599C2#6207411yescharacteristic
1600C2#6209311yescharacteristic
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×#3268C2semidirect
2. C2×#3257C2semidirect
3. #45018C2semidirect
4. #44889C2semidirect
5. #31174C2semidirect
6. #31161C2semidirect
7. #30919C2semidirect
8. #30906C2semidirect
9. #30763C2semidirect
10. #30752C2semidirect
11. #30462C2semidirect
12. #30447C2semidirect
13. #28557C2semidirect
14. #27249C2semidirect
15. #27235C2semidirect
16. #26916C2semidirect
17. #26913C2semidirect
18. #25794C2semidirect
19. #25383C2semidirect
20. #25364C2semidirect
21. #25091C2semidirect
22. #25076C2semidirect
23. #24435C2semidirect
24. #24434C2semidirect
25. #24364C2semidirect
26. #24362C2semidirect
27. #23947C2semidirect
28. #23939C2semidirect
29. #23544C2semidirect
30. #23138C2semidirect
31. #22072C2semidirect
43. C2×#479C22semidirect
44. C2×#478C22semidirect
45. C2×#476C22semidirect
46. C2×#474C22semidirect
53. C2×#464C22semidirect
54. C2×#460C22semidirect
55. C2×#463C22semidirect
56. C2×#463C22semidirect
59. C2×#459C22semidirect
65. C2×#449C22semidirect
84. #2541C22semidirect
87. #2490C22semidirect
90. #2453C22semidirect
93. #2445C22semidirect
97. #2431C22semidirect
100. #2428C22semidirect
106. #2367C22semidirect
111. #2339C22semidirect
114. #2088C22semidirect
115. #2077C22semidirect
117. #2065C22semidirect
118. #2056C22semidirect
128. #2054C22semidirect
130. #2042C22semidirect
132. #2041C22semidirect
134. #2033C22semidirect
137. #2024C22semidirect
138. #2023C22semidirect
139. #2015C22semidirect
141. #2014C22semidirect
144. #2012C22semidirect
150. #2011C22semidirect
152. #1999C22semidirect
153. #1999C22semidirect
155. #1982C22semidirect
158. #1940C22semidirect
159. #1939C22semidirect
160. #1936C22semidirect
161. #1936C22semidirect
162. #1936C22semidirect
163. #1933C22semidirect
164. #1927C22semidirect
166. #1924C22semidirect
167. #1923C22semidirect
168. #1921C22semidirect
169. #1918C22semidirect
170. #1917C22semidirect
171. #1917C22semidirect
172. #1893C22semidirect
173. #1893C22semidirect
174. #1880C22semidirect
175. #1880C22semidirect
176. #1880C22semidirect
177. #1880C22semidirect
184. #1879C22semidirect
185. #1878C22semidirect
186. #1877C22semidirect
187. #1877C22semidirect
194. #1863C22semidirect
196. #1850C22semidirect
197. #1850C22semidirect
200. #1788C22semidirect
201. #1763C22semidirect
202. C4×#102C22semidirect
308. #468D4semidirect

Maximal subgroups

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

subgroupindex
C2×#32682
C2×#32572
#450182
#448892
#311742
#311612
#309192
#309062
#307632
#307522
#304622
#304472
#285572
#272492
#272352
#269162
#269132
#257942
#253832
#253642
#250912
#250762
#244352
#244342
#243642
#243622
#239472
#239392
#235442
#231382
#220722