Finite Group Databasebeta

← #6668566

Subgroups — #6668566

Order 512.

2940 conjugacy classes of subgroups.

The subgroup lattice has 1759 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3208C211yesmaximal, characteristic, complemented
2C2×#3009C211yesmaximal, characteristic, complemented
3#37783C211yesmaximal, characteristic, complemented
4#35527C211yesmaximal, characteristic
5#32886C211yesmaximal, characteristic, complemented
6#31004C211yesmaximal, characteristic, complemented
7#30999C211yesmaximal, characteristic, complemented
8#30527C211yesmaximal, characteristic, complemented
9#30521C211yesmaximal, characteristic, complemented
10#30474C211yesmaximal, characteristic, complemented
11#30459C211yesmaximal, characteristic, complemented
12#30456C211yesmaximal, characteristic, complemented
13#30456C211yesmaximal, characteristic, complemented
14#29723C211yesmaximal, characteristic, complemented
15#29625C211yesmaximal, characteristic, complemented
16#27273C211yesmaximal, characteristic, complemented
17#27257C211yesmaximal, characteristic, complemented
18#25790C211yesmaximal, characteristic, complemented
19#25774C211yesmaximal, characteristic, complemented
20#25732C211yesmaximal, characteristic, complemented
21#25093C211yesmaximal, characteristic, complemented
22#25077C211yesmaximal, characteristic, complemented
23#24505C211yesmaximal, characteristic, complemented
24#24394C211yesmaximal, characteristic, complemented
25#24368C211yesmaximal, characteristic, complemented
26#24356C211yesmaximal, characteristic, complemented
27#24220C211yesmaximal, characteristic, complemented
28#23935C211yesmaximal, characteristic, complemented
29#23926C211yesmaximal, characteristic, complemented
30#22556C211yesmaximal, characteristic, complemented
31#22052C211yesmaximal, characteristic, complemented
32C22×H(5,𝔽2)C2211yescharacteristic
33C22×#137C2211yescharacteristic, complemented
34C23×SD16C2211yescharacteristic, complemented
35C2×#536C2211yescharacteristic
36C2×#535C2211yescharacteristic
37C2×#535C2211yescharacteristic
38C2×#533C2211yescharacteristic, complemented
39C22×#127C2211yescharacteristic
40#3208—28no—
41C2×#497C2211yescharacteristic, complemented
42C2×#492C2211yescharacteristic, complemented
43C2×#492C2211yescharacteristic, complemented
44C2×#492C2211yescharacteristic, complemented
45C2×#486C2211yescharacteristic, complemented
46C2×#486C2211yescharacteristic, complemented
47C2×#468C2211yescharacteristic, complemented
48C2×#465C2211yescharacteristic, complemented
49C2×#464C2211yescharacteristic, complemented
50C2×#460C2211yescharacteristic, complemented
51C2×#460C2211yescharacteristic, complemented
52C2×#460C2211yescharacteristic, complemented
53C2×#460C2211yescharacteristic, complemented
54C2×#460C2211yescharacteristic, complemented
55#3009—28no—
56C2×#452C2211yescharacteristic
57C2×#452C2211yescharacteristic
58C2×#452C2211yescharacteristic
59C2×#452C2211yescharacteristic, complemented
60C2×#452C2211yescharacteristic, complemented
61C2×#452C2211yescharacteristic, complemented
62C2×#452C2211yescharacteristic, complemented
63C2×#448C2211yescharacteristic, complemented
64C2×#448C2211yescharacteristic, complemented
65C2×#450C2211yescharacteristic
66C2×#450C2211yescharacteristic
67C2×#450C2211yescharacteristic
68C2×#450C2211yescharacteristic, complemented
69C2×#450C2211yescharacteristic, complemented
70C2×#450C2211yescharacteristic, complemented
71C2×#450C2211yescharacteristic, complemented
72C2×#450C2211yescharacteristic, complemented
73C2×#450C2211yescharacteristic, complemented
74C2×#450C2211yescharacteristic, complemented
75C2×#431C2211yescharacteristic, complemented
76C2×#418C2211yescharacteristic, complemented
77C2×#416C2211yescharacteristic, complemented
78C2×#408C2211yescharacteristic
79#2855C2211yescharacteristic, complemented
80#2713—21no—
81#2707—21no—
82#2700—21no—
83#2687—21no—
84#2621C2211yescharacteristic, complemented
85#2616C2211yescharacteristic
86#2492C2211yescharacteristic, complemented
87#2474—21no—
88#2470—21no—
89#2458—21no—
90#2451—21no—
91#2439C2211yescharacteristic, complemented
92#2434C2211yescharacteristic, complemented
93#2433—21no—
94#2433—21no—
95#2433C2211yescharacteristic
96#2433C2211yescharacteristic
97#2433C2211yescharacteristic
98#2433C2211yescharacteristic
99#2431—21no—
100#2431—21no—
101#2431C2211yescharacteristic
102#2431C2211yescharacteristic
103#2431C2211yescharacteristic
104#2431C2211yescharacteristic
105#2429C2211yescharacteristic, complemented
106#2429C2211yescharacteristic, complemented
107#2421C2211yescharacteristic, complemented
108#2403—21no—
109#2403—21no—
110#2403—21no—
111#2403—21no—
112#2362C2211yescharacteristic, complemented
113Q8×C22⋊C4C2211yescharacteristic, complemented
114#2323C2211yescharacteristic, complemented
115#2309C2211yescharacteristic
116#2297C2211yescharacteristic
117#2297C2211yescharacteristic
118#2073C2211yescharacteristic, complemented
119#2073C2211yescharacteristic, complemented
120#2067C2211yescharacteristic, complemented
121#2066C2211yescharacteristic, complemented
122#2056C2211yescharacteristic, complemented
123#2055C2211yescharacteristic, complemented
124#2055C2211yescharacteristic, complemented
125#2055C2211yescharacteristic, complemented
126#2055C2211yescharacteristic, complemented
127#2055C2211yescharacteristic, complemented
128#2042C2211yescharacteristic, complemented
129#2041C2211yescharacteristic, complemented
130#2041C2211yescharacteristic, complemented
131#2041C2211yescharacteristic, complemented
132#2041C2211yescharacteristic, complemented
133#2041C2211yescharacteristic, complemented
134#2034C2211yescharacteristic, complemented
135#2033C2211yescharacteristic, complemented
136#2024C2211yescharacteristic, complemented
137#2023C2211yescharacteristic, complemented
138#2016C2211yescharacteristic, complemented
139#2015C2211yescharacteristic, complemented
140#2015C2211yescharacteristic, complemented
141#2015C2211yescharacteristic, complemented
142#2014C2211yescharacteristic, complemented
143#2014C2211yescharacteristic, complemented
144#2014C2211yescharacteristic, complemented
145#2014C2211yescharacteristic, complemented
146#2014C2211yescharacteristic, complemented
147#2014C2211yescharacteristic, complemented
148#2014C2211yescharacteristic, complemented
149#2013C2211yescharacteristic, complemented
150#2013C2211yescharacteristic, complemented
151#2013C2211yescharacteristic, complemented
152#2000C2211yescharacteristic, complemented
153#2000C2211yescharacteristic, complemented
154#2000C2211yescharacteristic, complemented
155#2000C2211yescharacteristic, complemented
156#2000C2211yescharacteristic, complemented
157#2000C2211yescharacteristic, complemented
158#1983C2211yescharacteristic, complemented
159#1982C2211yescharacteristic, complemented
160#1973C2211yescharacteristic, complemented
161#1969C2211yescharacteristic, complemented
162#1968C2211yescharacteristic, complemented
163#1968C2211yescharacteristic, complemented
164#1961C2211yescharacteristic, complemented
165#1958C2211yescharacteristic, complemented
166#1936C2211yescharacteristic, complemented
167#1934C2211yescharacteristic, complemented
168#1934C2211yescharacteristic, complemented
169#1933C2211yescharacteristic, complemented
170#1926C2211yescharacteristic, complemented
171#1925C2211yescharacteristic, complemented
172#1924C2211yescharacteristic, complemented
173#1923C2211yescharacteristic, complemented
174#1923C2211yescharacteristic, complemented
175#1923C2211yescharacteristic, complemented
176#1895C2211yescharacteristic, complemented
177#1893C2211yescharacteristic, complemented
178#1880C2211yescharacteristic, complemented
179#1880C2211yescharacteristic, complemented
180#1880C2211yescharacteristic, complemented
181#1880C2211yescharacteristic, complemented
182#1878C2211yescharacteristic, complemented
183#1878C2211yescharacteristic, complemented
184#1875C2211yescharacteristic, complemented
185#1875C2211yescharacteristic, complemented
186#1873C2211yescharacteristic, complemented
187#1873C2211yescharacteristic, complemented
188#1873C2211yescharacteristic, complemented
189#1854C2211yescharacteristic, complemented
190#1851C2211yescharacteristic, complemented
191#1850C2211yescharacteristic, complemented
192#1817C2211yescharacteristic, complemented
193#1798C2211yescharacteristic, complemented
194#1788C2211yescharacteristic
195#1788C2211yescharacteristic, complemented
196#1788C2211yescharacteristic, complemented
197#1786C2211yescharacteristic
198#1786C2211yescharacteristic, complemented
199#1786C2211yescharacteristic, complemented
200#1786C2211yescharacteristic, complemented
201#1780C2211yescharacteristic
202#1753C2211yescharacteristic, complemented
203C8×C22⋊C4C2211yescharacteristic, complemented
204#1750C2211yescharacteristic, complemented
205C2×H(5,𝔽2)—24no—
206C2×H(5,𝔽2)—42no—
207C2×H(5,𝔽2)—42no—
208C2×H(5,𝔽2)—42no—
209C2×H(5,𝔽2)—42no—
210C2×H(5,𝔽2)—42no—
211C22×#41—21no—
212C22×#41C2311yescharacteristic
213C22×#41C2311yescharacteristic
214C22×#41C2311yescharacteristic
215C22×#41C2311yescharacteristic
216C23×Q8C2311yescharacteristic
217C23×D4—21no—
218C23×D4—21no—
219C23×D4—21no—
220C23×D4—21no—
221C23×D4—21no—
222C23×D4C2311yescharacteristic
223C23×D4C2311yescharacteristic
224C23×D4C2311yescharacteristic
225C23×D4C2311yescharacteristic
226C2×#137—24no—
227C2×#137—42no—
228C2×#137—42no—
229C22×Q16C2311yescharacteristic
230C22×Q16C2311yescharacteristic
231C22×Q16C2311yescharacteristic
232C22×SD16—24no—
233C22×SD16—42no—
234C22×SD16—42no—
235C22×SD16C2311yescharacteristic
236C22×SD16C2311yescharacteristic
237C22×SD16C2311yescharacteristic
238C22×SD16C2311yescharacteristic
239C22×SD16C2311yescharacteristic
240C22×SD16C2311yescharacteristic
241C22×SD16C2311yescharacteristic
242C22×SD16C2311yescharacteristic
243C22×SD16C2311yescharacteristic
244C22×SD16C2311yescharacteristic
245C22×SD16C2311yescharacteristic
246C22×SD16C2311yescharacteristic
247C22×SD16C2311yescharacteristic
248C22×SD16C2311yescharacteristic
249C22×SD16C2311yescharacteristic
250C22×M16C2311yescharacteristic
251C23×C8C2311yescharacteristic
252#536—24no—
253#536—42no—
254#535—42no—
255#535—42no—
256#535—42no—
257#535—42no—
258#533—24no—
259#533—42no—
260C2×C4⋊Q8—21no—
261C2×C4⋊Q8C2311yescharacteristic
262C2×C4⋊Q8C2311yescharacteristic
263C2×C4⋊Q8C2311yescharacteristic
264C2×#127—24no—
265C2×#127—21no—
266C2×#127—21no—
267C2×#127—21no—
268C2×#127—42no—
269C2×#127C2311yescharacteristic
270C2×#127C2311yescharacteristic
271C2×#127C2311yescharacteristic
272C2×#127C2311yescharacteristic
273C2×#127C2311yescharacteristic
274C2×#127C2311yescharacteristic
275C2×#125—21no—
276C2×#124—21no—
277C2×#124—21no—
278C2×#124C2311yescharacteristic
279C2×#124C2311yescharacteristic
280C2×#123—21no—
281C2×#123—21no—
282C2×C22⋊Q8—21no—
283C2×C22⋊Q8C2311yescharacteristic
284C2×C22⋊Q8C2311yescharacteristic
285C2×C22⋊Q8C2311yescharacteristic
286C2×C22⋊Q8C2311yescharacteristic
287C2×C22⋊Q8C2311yescharacteristic
288C2×C22⋊Q8C2311yescharacteristic
289C2×C22⋊Q8C2311yescharacteristic
290C2×#121—21no—
291C2×#121—21no—
292C2×#121C2311yescharacteristic
293C2×#121C2311yescharacteristic
294C2×#121C2311yescharacteristic
295C2×#121C2311yescharacteristic
296C2×#120—21no—
297C2×#120—21no—
298C2×#120—21no—
299C2×#120—21no—
300C2×#120—21no—
301C2×#120—21no—
302C2×#120—21no—
303C2×#120—21no—
304C2×#120—21no—
305C2×#120—21no—
306C2×#120—21no—
307C2×#120—21no—
308C2×C4×Q8—21no—
309C2×C4×Q8C2311yescharacteristic
310C2×C4×Q8C2311yescharacteristic
311C2×C4×Q8C2311yescharacteristic
312C2×#117—21no—
313C2×#117C2311yescharacteristic
314C2×#117C2311yescharacteristic
315C2×#117C2311yescharacteristic
316C22×C42C2311yescharacteristic
317#497—42no—
318#492—24no—
319#492—24no—
320#492—42no—
321#486—24no—
322#486—24no—
323#468—42no—
324#465—42no—
325#464—42no—
326#460—24no—
327#460—24no—
328#460—24no—
329#460—24no—
330#460—42no—
331#452—24no—
332#452—24no—
333#452—24no—
334#452—24no—
335#452—42no—
336#452—42no—
337#452—42no—
338#450—24no—
339#450—24no—
340#450—24no—
341#450—24no—
342#450—24no—
343#450—24no—
344#450—42no—
345#450—42no—
346#450—42no—
347#450D418yescomplemented
348#448—42no—
349#448—42no—
350#431—24no—
351C2×#107C2311yescharacteristic
352C2×#106C2311yescharacteristic
353C2×C4⋊C8C2311yescharacteristic
354C2×C4⋊C8C2311yescharacteristic
355C2×C4⋊C8C2311yescharacteristic
356C2×C4⋊C8C2311yescharacteristic
357#418—24no—
358#416—24no—
359C2×#103C2311yescharacteristic
360C2×#103C2311yescharacteristic
361C2×#103C2311yescharacteristic
362C2×#103C2311yescharacteristic
363C2×#103C2311yescharacteristic
364C2×#103C2311yescharacteristic
365C2×#103C2311yescharacteristic
366C2×#103C2311yescharacteristic
367C2×#103C2311yescharacteristic
368C2×#103C2311yescharacteristic
369C2×#103C2311yescharacteristic
370C2×#102C2311yescharacteristic
371C2×#102C2311yescharacteristic
372C2×#102C2311yescharacteristic
373C2×#102C2311yescharacteristic
374C2×#102C2311yescharacteristic
375C2×#102C2311yescharacteristic
376C2×#102C2311yescharacteristic
377C2×#102C2311yescharacteristic
378C2×#102C2311yescharacteristic
379C2×#102C2311yescharacteristic
380C2×#102C2311yescharacteristic
381C2×#102C2311yescharacteristic
382C2×#102C2311yescharacteristic
383C2×#102C2311yescharacteristic
384C2×#102C2311yescharacteristic
385C2×#102C2311yescharacteristic
386C2×#102C2311yescharacteristic
387C2×#102C2311yescharacteristic
388C2×#102C2311yescharacteristic
389C2×#102C2311yescharacteristic
390C2×#102C2311yescharacteristic
391C2×#102C2311yescharacteristic
392C2×#102C2311yescharacteristic
393C2×#102C2311yescharacteristic
394C2×#102C2311yescharacteristic
395#408—24no—
396C2×C22⋊C8C2311yescharacteristic
397C2×C22⋊C8C2311yescharacteristic
398C2×C22⋊C8C2311yescharacteristic
399C2×C22⋊C8C2311yescharacteristic
400C2×C22⋊C8C2311yescharacteristic
401C2×C22⋊C8C2311yescharacteristic
402C2×C22⋊C8C2311yescharacteristic
403C2×C22⋊C8C2311yescharacteristic
404C2×C22⋊C8C2311yescharacteristic
405C2×C22⋊C8C2311yescharacteristic
406C2×#97C2311yescharacteristic
407C2×C4×C8C2311yescharacteristic
408C2×C4×C8C2311yescharacteristic
409C2×C4×C8C2311yescharacteristic
410#400—21no—
411#400—21no—
412#398—21no—
413#398—21no—
414#398—21no—
415#398—21no—
416#397—21no—
417#397—21no—
418#397—21no—
419#396—21no—
420#396—21no—
421#396—21no—
422#395—21no—
423#395—21no—
424#395—21no—
425#394—21no—
426#394—21no—
427#394—21no—
428#393—21no—
429#393—21no—
430#392—21no—
431#392—21no—
432#392—21no—
433#392—21no—
434#392—21no—
435#392—21no—
436#392—21no—
437#392—21no—
438#392—21no—
439#392—21no—
440#392—21no—
441#392—21no—
442#392—21no—
443#392—21no—
444#392—21no—
445#392—21no—
446#391—21no—
447#391—21no—
448#391—21no—
449#391—21no—
450#391D411yescharacteristic
451#391D411yescharacteristic
452#391C2311yescharacteristic
453#391C2311yescharacteristic
454#391C2311yescharacteristic
455#391C2311yescharacteristic
456#391C2311yescharacteristic
457#391C2311yescharacteristic
458#391C2311yescharacteristic
459#390—21no—
460#390—21no—
461#390D411yescharacteristic
462#390D411yescharacteristic
463#390C2311yescharacteristic
464#390C2311yescharacteristic
465#390C2311yescharacteristic
466#390C2311yescharacteristic
467#390C2311yescharacteristic
468#390C2311yescharacteristic
469#389—21no—
470#389—21no—
471#389—21no—
472#389C2311yescharacteristic
473#389C2311yescharacteristic
474#389C2311yescharacteristic
475#388—21no—
476#388—21no—
477#388—21no—
478#388—21no—
479#388—21no—
480#388—21no—
481#388—21no—
482#388—21no—
483#387—21no—
484#387—21no—
485#387—21no—
486#387—21no—
487#387—21no—
488#387—21no—
489#386—21no—
490#386—21no—
491#386—21no—
492#386—21no—
493#386—21no—
494#386—21no—
495#386—21no—
496#386—21no—
497#386—21no—
498#386—21no—
499#386D411yescharacteristic
500#386D411yescharacteristic
501#386D411yescharacteristic
502#386D411yescharacteristic
503#385—21no—
504#385—21no—
505#385—21no—
506#382C2311yescharacteristic
507#381—21no—
508#380—21no—
509#380C2311yescharacteristic
510#380C2311yescharacteristic
511#380C2311yescharacteristic
512#379—21no—
513#379—21no—
514C4×C4⋊C4—21no—
515C4×C4⋊C4C2311yescharacteristic
516C4×C22⋊C4—21no—
517C4×C22⋊C4—21no—
518C4×C22⋊C4—21no—
519C4×C22⋊C4C2311yescharacteristic
520C4×C22⋊C4C2311yescharacteristic
521C4×C22⋊C4C2311yescharacteristic
522C4×C22⋊C4C2311yescharacteristic
523#340C2311yescharacteristic
524#340C2311yescharacteristic
525#340C2311yescharacteristic
526#340C2311yescharacteristic
527#340C2311yescharacteristic
528#340C2311yescharacteristic
529#340C2311yescharacteristic
530#340C2311yescharacteristic
531#336C2311yescharacteristic
532#336C2311yescharacteristic
533#336C2311yescharacteristic
534#336C2311yescharacteristic
535#336C2311yescharacteristic
536#336C2311yescharacteristic
537#336C2311yescharacteristic
538#336C2311yescharacteristic
539C25—21no—
540C25—21no—
541C25—21no—
542C25—21no—
543H(5,𝔽2)—416no—
544H(5,𝔽2)—416no—
545H(5,𝔽2)—416no—
546H(5,𝔽2)—416no—
547C2×#41—22no—
548C2×#41—22no—
549C2×#41—22no—
550C2×#41—22no—
551C2×#41—22no—
552C2×#41—22no—
553C2×#41—22no—
554C2×#41—22no—
555C2×#41—22no—
556C2×#41—22no—
557C2×#41—22no—
558C2×#41—22no—
559C2×#41—22no—
560C2×#41—22no—
561C2×#41—41no—
562C2×#41—41no—
563C2×#41—41no—
564C2×#41—41no—
565C2×#41—41no—
566C2×#41—41no—
567C2×#41—41no—
568C2×#41—41no—
569C2×#41—41no—
570C2×#41—41no—
571C2×#41—44no—
572C2×#41—44no—
573C2×#41—44no—
574C22×Q8—21no—
575C22×Q8—21no—
576C22×Q8—22no—
577C22×Q8—22no—
578C22×Q8—22no—
579C22×Q8—41no—
580C22×Q8—41no—
581C22×Q8—41no—
582C22×Q8C2×D411yescharacteristic
583C22×Q8C2411yescharacteristic
584C22×Q8C2411yescharacteristic
585C22×Q8C2411yescharacteristic
586C22×Q8C2411yescharacteristic
587C22×D4—22no—
588C22×D4—22no—
589C22×D4—21no—
590C22×D4—22no—
591C22×D4—22no—
592C22×D4—21no—
593C22×D4—21no—
594C22×D4—21no—
595C22×D4—21no—
596C22×D4—21no—
597C22×D4—21no—
598C22×D4—21no—
599C22×D4—22no—
600C22×D4—21no—
601C22×D4—21no—
602C22×D4—21no—
603C22×D4—21no—
604C22×D4—21no—
605C22×D4—21no—
606C22×D4—21no—
607C22×D4—21no—
608C22×D4—21no—
609C22×D4—21no—
610C22×D4—21no—
611C22×D4—21no—
612C22×D4—21no—
613C22×D4—21no—
614C22×D4—21no—
615C22×D4—22no—
616C22×D4—22no—
617C22×D4—22no—
618C22×D4—22no—
619C22×D4—41no—
620C22×D4—41no—
621C22×D4—41no—
622C22×D4—41no—
623C22×D4—41no—
624C22×D4—41no—
625C22×D4—41no—
626C22×D4—41no—
627C22×D4—41no—
628C22×D4—41no—
629C22×D4—41no—
630C22×D4—41no—
631C22×D4—41no—
632C22×D4—41no—
633C22×D4—44no—
634C22×D4—44no—
635C22×D4—44no—
636C22×D4—44no—
637C22×D4—44no—
638C22×D4—44no—
639C22×D4—44no—
640C22×D4—44no—
641C22×D4—44no—
642C22×D4—44no—
643C22×D4—44no—
644C22×D4—82no—
645C22×D4—82no—
646C22×D4—82no—
647C22×D4—82no—
648C22×D4C2×D411yescharacteristic
649C22×D4C2×D411yescharacteristic
650C22×D4C2×D411yescharacteristic
651C22×D4C2×D414yes—
652C22×D4C2411yescharacteristic
653C22×D4C2411yescharacteristic
654C22×D4C2411yescharacteristic
655C22×D4C2411yescharacteristic
656C22×D4C2411yescharacteristic
657C23×C4—21no—
658C23×C4—21no—
659C23×C4—21no—
660C23×C4—21no—
661C23×C4C2×D411yescharacteristic
662C23×C4C2×D411yescharacteristic
663C23×C4C2411yescharacteristic
664C23×C4C2411yescharacteristic
665C23×C4C2411yescharacteristic
666#137—416no—
667C2×Q16—22no—
668C2×Q16—22no—
669C2×Q16—22no—
670C2×Q16—22no—
671C2×Q16—22no—
672C2×Q16—41no—
673C2×Q16—41no—
674C2×Q16—41no—
675C2×Q16—41no—
676C2×SD16—22no—
677C2×SD16—22no—
678C2×SD16—22no—
679C2×SD16—22no—
680C2×SD16—22no—
681C2×SD16—22no—
682C2×SD16—22no—
683C2×SD16—22no—
684C2×SD16—22no—
685C2×SD16—22no—
686C2×SD16—22no—
687C2×SD16—22no—
688C2×SD16—22no—
689C2×SD16—41no—
690C2×SD16—41no—
691C2×SD16—41no—
692C2×SD16—41no—
693C2×SD16—41no—
694C2×SD16—41no—
695C2×SD16—41no—
696C2×SD16—41no—
697C2×SD16—41no—
698C2×SD16—41no—
699C2×SD16—41no—
700C2×SD16—41no—
701C2×SD16—41no—
702C2×SD16—41no—
703C2×SD16—41no—
704C2×SD16—41no—
705C2×SD16—41no—
706C2×SD16—41no—
707C2×SD16—41no—
708C2×SD16—41no—
709C2×SD16—41no—
710C2×SD16—41no—
711C2×SD16—41no—
712C2×SD16—41no—
713C2×SD16—41no—
714C2×SD16—41no—
715C2×SD16—41no—
716C2×SD16—41no—
717C2×SD16—41no—
718C2×SD16—41no—
719C2×SD16—416no—
720C2×SD16C2×D414yes—
721C2×SD16C2×D414yes—
722C2×M16—22no—
723C2×M16—22no—
724C2×M16—41no—
725C22×C8—22no—
726C22×C8—22no—
727C22×C8—41no—
728C22×C8C2411yescharacteristic
729C22×C8C2411yescharacteristic
730C22×C8C2411yescharacteristic
731C22×C8C2411yescharacteristic
732C22×C8C2411yescharacteristic
733C22×C8C2411yescharacteristic
734C22×C8C2411yescharacteristic
735C22×C8C2411yescharacteristic
736C4⋊Q8—22no—
737C4⋊Q8—22no—
738C4⋊Q8—41no—
739C4⋊Q8—41no—
740C4⋊Q8—41no—
741C4⋊Q8—41no—
742C4⋊Q8—44no—
743#127—22no—
744#127—22no—
745#127—22no—
746#127—22no—
747#127—22no—
748#127—22no—
749#127—41no—
750#127—41no—
751#127—41no—
752#127—41no—
753#127—41no—
754#127—41no—
755#127—44no—
756#127—44no—
757#127—44no—
758#125—44no—
759#124—22no—
760#124—22no—
761#124—41no—
762#124—41no—
763#124—44no—
764#124—44no—
765#123—44no—
766#123—44no—
767C22⋊Q8—22no—
768C22⋊Q8—22no—
769C22⋊Q8—22no—
770C22⋊Q8—22no—
771C22⋊Q8—22no—
772C22⋊Q8—22no—
773C22⋊Q8—22no—
774C22⋊Q8—22no—
775C22⋊Q8—22no—
776C22⋊Q8—44no—
777C22⋊Q8—41no—
778C22⋊Q8—41no—
779C22⋊Q8—41no—
780C22⋊Q8—41no—
781C22⋊Q8C2×D414yes—
782#121—22no—
783#121—22no—
784#121—22no—
785#121—22no—
786#121—41no—
787#121—41no—
788#121—41no—
789#121—41no—
790#121—44no—
791#121—44no—
792#120—44no—
793#120—44no—
794#120—44no—
795#120—44no—
796#120—82no—
797#120—82no—
798#120—82no—
799#120—82no—
800#120—82no—
801#120—82no—
802#120—82no—
803#120—82no—
804C4×Q8—22no—
805C4×Q8—22no—
806C4×Q8—41no—
807C4×Q8—41no—
808C4×Q8—44no—
809C4×Q8—41no—
810C4×Q8—41no—
811#117—22no—
812#117—41no—
813#117—41no—
814#117—44no—
815#117—41no—
816#117—41no—
817#117—41no—
818C2×C4⋊C4—21no—
819C2×C4⋊C4—21no—
820C2×C4⋊C4—21no—
821C2×C4⋊C4—21no—
822C2×C4⋊C4—21no—
823C2×C4⋊C4—21no—
824C2×C4⋊C4—21no—
825C2×C4⋊C4—21no—
826C2×C4⋊C4—21no—
827C2×C4⋊C4—21no—
828C2×C4⋊C4—21no—
829C2×C4⋊C4—21no—
830C2×C4⋊C4—21no—
831C2×C4⋊C4—21no—
832C2×C4⋊C4—21no—
833C2×C4⋊C4—21no—
834C2×C4⋊C4—21no—
835C2×C4⋊C4—21no—
836C2×C4⋊C4C2×D411yescharacteristic
837C2×C4⋊C4C2×D411yescharacteristic
838C2×C4⋊C4C2411yescharacteristic
839C2×C4⋊C4C2411yescharacteristic
840C2×C4⋊C4C2411yescharacteristic
841C2×C4⋊C4C2411yescharacteristic
842C2×C4⋊C4C2411yescharacteristic
843C2×C4⋊C4C2411yescharacteristic
844C2×C4⋊C4C2411yescharacteristic
845C2×C22⋊C4—21no—
846C2×C22⋊C4—21no—
847C2×C22⋊C4—21no—
848C2×C22⋊C4—21no—
849C2×C22⋊C4—21no—
850C2×C22⋊C4—21no—
851C2×C22⋊C4—21no—
852C2×C22⋊C4—21no—
853C2×C22⋊C4—21no—
854C2×C22⋊C4—21no—
855C2×C22⋊C4—21no—
856C2×C22⋊C4—21no—
857C2×C22⋊C4—21no—
858C2×C22⋊C4—21no—
859C2×C22⋊C4—21no—
860C2×C22⋊C4—21no—
861C2×C22⋊C4—21no—
862C2×C22⋊C4—21no—
863C2×C22⋊C4—21no—
864C2×C22⋊C4—21no—
865C2×C22⋊C4—21no—
866C2×C22⋊C4—21no—
867C2×C22⋊C4—21no—
868C2×C22⋊C4—21no—
869C2×C22⋊C4—21no—
870C2×C22⋊C4—21no—
871C2×C22⋊C4—21no—
872C2×C22⋊C4—21no—
873C2×C22⋊C4—21no—
874C2×C22⋊C4—21no—
875C2×C22⋊C4—21no—
876C2×C22⋊C4—21no—
877C2×C22⋊C4C2×D411yescharacteristic
878C2×C22⋊C4C2×D411yescharacteristic
879C2×C22⋊C4C2×D411yescharacteristic
880C2×C22⋊C4C2×D411yescharacteristic
881C2×C22⋊C4C2×D411yescharacteristic
882C2×C22⋊C4C2×D411yescharacteristic
883C2×C22⋊C4C2×D411yescharacteristic
884C2×C22⋊C4C2×D411yescharacteristic
885C2×C22⋊C4C2×D411yescharacteristic
886C2×C22⋊C4C2×D411yescharacteristic
887C2×C42—22no—
888C2×C42—22no—
889C2×C42—21no—
890C2×C42—21no—
891C2×C42—21no—
892C2×C42—21no—
893C2×C42—21no—
894C2×C42—21no—
895C2×C42C2×D411yescharacteristic
896C2×C42C2×D411yescharacteristic
897C2×C42C2411yescharacteristic
898C2×C42C2411yescharacteristic
899C2×C42C2411yescharacteristic
900C2×C42C2411yescharacteristic
901#107—41no—
902#106—41no—
903C4⋊C8—22no—
904C4⋊C8—22no—
905C4⋊C8—41no—
906C4⋊C8—41no—
907#103—22no—
908#103—22no—
909#103—22no—
910#103—41no—
911#103—41no—
912#103—41no—
913#103—41no—
914#103—41no—
915#103—41no—
916#103—41no—
917#103—41no—
918#102—22no—
919#102—22no—
920#102—22no—
921#102—22no—
922#102—22no—
923#102—22no—
924#102—22no—
925#102—22no—
926#102—22no—
927#102—22no—
928#102—22no—
929#102—41no—
930#102—41no—
931#102—41no—
932#102—41no—
933#102—41no—
934#102—41no—
935#102—41no—
936#102—41no—
937#102—41no—
938#102—41no—
939#102—41no—
940#102—41no—
941#102C2×D414yes—
942#102C2×D414yes—
943C22⋊C8—22no—
944C22⋊C8—22no—
945C22⋊C8—22no—
946C22⋊C8—22no—
947C22⋊C8—22no—
948C22⋊C8—22no—
949C22⋊C8—22no—
950C22⋊C8—41no—
951C22⋊C8—41no—
952C22⋊C8C2×D414yes—
953#97—41no—
954C4×C8—22no—
955C4×C8—22no—
956C4×C8—41no—
957#95—21no—
958#95—21no—
959#95—21no—
960#95—21no—
961#95—21no—
962#95—21no—
963#95—21no—
964#95—21no—
965#95—21no—
966#95—21no—
967#95—21no—
968#95—21no—
969#95—21no—
970#95—21no—
971#95—21no—
972#95—21no—
973#95—21no—
974#95—21no—
975#95—21no—
976#95—21no—
977#95—21no—
978#95—21no—
979#95—21no—
980#95C2×D411yescharacteristic
981#95C2×D411yescharacteristic
982#95C2×D411yescharacteristic
983#95C2×D411yescharacteristic
984#95C2×D411yescharacteristic
985#95C2×D411yescharacteristic
986#95C2×D411yescharacteristic
987#95C2×D411yescharacteristic
988C24—21no—
989C24—21no—
990C24—21no—
991C24—24no—
992C24—21no—
993C24—21no—
994C24—42no—
995C24—42no—
996C24—42no—
997C24—42no—
998C24—42no—
999C24—42no—
1000C24—42no—
1001C24—42no—
1002C24—42no—
1003C24—42no—
1004C24—42no—
1005C24—81no—
1006C24—81no—
1007C24—81no—
1008C24—81no—
1009C24—81no—
1010C24—81no—
1011C24—81no—
1012C24—81no—
1013C24—81no—
1014C24—81no—
1015C24—81no—
1016C24—81no—
1017C24—81no—
1018C24—81no—
1019C24—81no—
1020C24—81no—
1021C24C22×D411yescharacteristic
1022C24C22×D411yescharacteristic
1023C24C22×D411yescharacteristic
1024#41—28no—
1025#41—44no—
1026#41—44no—
1027#41—44no—
1028#41—44no—
1029#41—44no—
1030#41—44no—
1031#41—44no—
1032#41—44no—
1033#41—44no—
1034#41—44no—
1035#41—44no—
1036#41—44no—
1037#41—44no—
1038#41—44no—
1039#41—432no—
1040#41—44no—
1041C2×Q8—22no—
1042C2×Q8—22no—
1043C2×Q8—21no—
1044C2×Q8—21no—
1045C2×Q8—21no—
1046C2×Q8—21no—
1047C2×Q8—21no—
1048C2×Q8—21no—
1049C2×Q8—21no—
1050C2×Q8—21no—
1051C2×Q8—21no—
1052C2×Q8—21no—
1053C2×Q8—21no—
1054C2×Q8—21no—
1055C2×Q8—21no—
1056C2×Q8—21no—
1057C2×Q8—21no—
1058C2×Q8—21no—
1059C2×Q8—21no—
1060C2×Q8—21no—
1061C2×Q8—21no—
1062C2×Q8—21no—
1063C2×Q8—21no—
1064C2×Q8—21no—
1065C2×Q8—41no—
1066C2×Q8—42no—
1067C2×Q8—42no—
1068C2×Q8—44no—
1069C2×Q8—44no—
1070C2×Q8—42no—
1071C2×Q8—42no—
1072C2×Q8—81no—
1073C2×Q8—81no—
1074C2×Q8—82no—
1075C2×Q8—82no—
1076C2×Q8C22×D412yes—
1077C2×Q8H(5,𝔽2)12yes—
1078C2×D4—28no—
1079C2×D4—24no—
1080C2×D4—22no—
1081C2×D4—22no—
1082C2×D4—22no—
1083C2×D4—22no—
1084C2×D4—22no—
1085C2×D4—22no—
1086C2×D4—24no—
1087C2×D4—21no—
1088C2×D4—21no—
1089C2×D4—21no—
1090C2×D4—21no—
1091C2×D4—21no—
1092C2×D4—21no—
1093C2×D4—21no—
1094C2×D4—21no—
1095C2×D4—21no—
1096C2×D4—21no—
1097C2×D4—21no—
1098C2×D4—21no—
1099C2×D4—21no—
1100C2×D4—21no—
1101C2×D4—21no—
1102C2×D4—21no—
1103C2×D4—21no—
1104C2×D4—21no—
1105C2×D4—21no—
1106C2×D4—21no—
1107C2×D4—21no—
1108C2×D4—21no—
1109C2×D4—21no—
1110C2×D4—21no—
1111C2×D4—21no—
1112C2×D4—21no—
1113C2×D4—21no—
1114C2×D4—44no—
1115C2×D4—44no—
1116C2×D4—44no—
1117C2×D4—44no—
1118C2×D4—41no—
1119C2×D4—41no—
1120C2×D4—41no—
1121C2×D4—42no—
1122C2×D4—42no—
1123C2×D4—42no—
1124C2×D4—42no—
1125C2×D4—42no—
1126C2×D4—42no—
1127C2×D4—42no—
1128C2×D4—42no—
1129C2×D4—42no—
1130C2×D4—44no—
1131C2×D4—44no—
1132C2×D4—44no—
1133C2×D4—42no—
1134C2×D4—42no—
1135C2×D4—42no—
1136C2×D4—42no—
1137C2×D4—42no—
1138C2×D4—42no—
1139C2×D4—42no—
1140C2×D4—42no—
1141C2×D4—42no—
1142C2×D4—42no—
1143C2×D4—42no—
1144C2×D4—42no—
1145C2×D4—42no—
1146C2×D4—42no—
1147C2×D4—42no—
1148C2×D4—42no—
1149C2×D4—44no—
1150C2×D4—44no—
1151C2×D4—44no—
1152C2×D4—42no—
1153C2×D4—42no—
1154C2×D4—42no—
1155C2×D4—42no—
1156C2×D4—432no—
1157C2×D4—432no—
1158C2×D4—432no—
1159C2×D4—44no—
1160C2×D4—42no—
1161C2×D4—42no—
1162C2×D4—42no—
1163C2×D4—42no—
1164C2×D4—42no—
1165C2×D4—42no—
1166C2×D4—42no—
1167C2×D4—42no—
1168C2×D4—42no—
1169C2×D4—42no—
1170C2×D4—42no—
1171C2×D4—42no—
1172C2×D4—42no—
1173C2×D4—42no—
1174C2×D4—82no—
1175C2×D4—82no—
1176C2×D4—82no—
1177C2×D4—82no—
1178C2×D4—81no—
1179C2×D4—81no—
1180C2×D4—81no—
1181C2×D4—81no—
1182C2×D4—81no—
1183C2×D4—81no—
1184C2×D4—81no—
1185C2×D4—81no—
1186C2×D4—816no—
1187C2×D4—81no—
1188C2×D4—81no—
1189C2×D4—81no—
1190C2×D4—81no—
1191C2×D4—81no—
1192C2×D4—81no—
1193C2×D4—81no—
1194C2×D4—81no—
1195C2×D4—816no—
1196C2×D4—81no—
1197C2×D4—81no—
1198C2×D4—81no—
1199C2×D4—81no—
1200C2×D4—81no—
1201C2×D4—81no—
1202C2×D4—81no—
1203C2×D4—81no—
1204C2×D4C22×D412yes—
1205C2×D4C22×D412yes—
1206C2×D4H(5,𝔽2)12yes—
1207C22×C4—22no—
1208C22×C4—22no—
1209C22×C4—22no—
1210C22×C4—21no—
1211C22×C4—21no—
1212C22×C4—21no—
1213C22×C4—21no—
1214C22×C4—21no—
1215C22×C4—21no—
1216C22×C4—21no—
1217C22×C4—21no—
1218C22×C4—24no—
1219C22×C4—22no—
1220C22×C4—21no—
1221C22×C4—21no—
1222C22×C4—21no—
1223C22×C4—22no—
1224C22×C4—21no—
1225C22×C4—21no—
1226C22×C4—21no—
1227C22×C4—21no—
1228C22×C4—21no—
1229C22×C4—21no—
1230C22×C4—21no—
1231C22×C4—21no—
1232C22×C4—21no—
1233C22×C4—21no—
1234C22×C4—21no—
1235C22×C4—21no—
1236C22×C4—21no—
1237C22×C4—21no—
1238C22×C4—41no—
1239C22×C4—42no—
1240C22×C4—42no—
1241C22×C4—42no—
1242C22×C4—42no—
1243C22×C4—42no—
1244C22×C4—42no—
1245C22×C4—42no—
1246C22×C4—42no—
1247C22×C4—42no—
1248C22×C4—42no—
1249C22×C4—81no—
1250C22×C4C22×D411yescharacteristic
1251C22×C4C22×D411yescharacteristic
1252C22×C4C22×D411yescharacteristic
1253C22×C4C22×D411yescharacteristic
1254C22×C4C22×D411yescharacteristic
1255C22×C4C22×D411yescharacteristic
1256C22×C4C22×D411yescharacteristic
1257C22×C4C22×D411yescharacteristic
1258C22×C4C22×D412yes—
1259C22×C4C22×D411yescharacteristic
1260C22×C4C22×D411yescharacteristic
1261C22×C4C22×D411yescharacteristic
1262C22×C4H(5,𝔽2)12yes—
1263C22×C4H(5,𝔽2)12yes—
1264C22×C4H(5,𝔽2)12yes—
1265C22×C4C2511yescharacteristic
1266Q16—44no—
1267Q16—44no—
1268Q16—82no—
1269SD16—44no—
1270SD16—44no—
1271SD16—44no—
1272SD16—44no—
1273SD16—44no—
1274SD16—44no—
1275SD16—82no—
1276SD16—82no—
1277SD16—82no—
1278SD16—82no—
1279SD16—82no—
1280SD16—82no—
1281SD16—82no—
1282SD16—82no—
1283SD16—82no—
1284M16—44no—
1285C2×C8—21no—
1286C2×C8—21no—
1287C2×C8—21no—
1288C2×C8—21no—
1289C2×C8—21no—
1290C2×C8—21no—
1291C2×C8—21no—
1292C2×C8—21no—
1293C2×C8—21no—
1294C2×C8—21no—
1295C2×C8—21no—
1296C2×C8—21no—
1297C2×C8—21no—
1298C2×C8—21no—
1299C2×C8—21no—
1300C2×C8—21no—
1301C2×C8—21no—
1302C2×C8—21no—
1303C2×C8—21no—
1304C2×C8—21no—
1305C2×C8—21no—
1306C2×C8—21no—
1307C2×C8—44no—
1308C2×C8C22×D412yes—
1309C2×C8C22×D412yes—
1310C4⋊C4—24no—
1311C4⋊C4—21no—
1312C4⋊C4—21no—
1313C4⋊C4—21no—
1314C4⋊C4—21no—
1315C4⋊C4—21no—
1316C4⋊C4—21no—
1317C4⋊C4—21no—
1318C4⋊C4—21no—
1319C4⋊C4—21no—
1320C4⋊C4—21no—
1321C4⋊C4—21no—
1322C4⋊C4—21no—
1323C4⋊C4—21no—
1324C4⋊C4—41no—
1325C4⋊C4—41no—
1326C4⋊C4—42no—
1327C4⋊C4—42no—
1328C4⋊C4—42no—
1329C4⋊C4—42no—
1330C4⋊C4—42no—
1331C4⋊C4—42no—
1332C4⋊C4—42no—
1333C4⋊C4—42no—
1334C4⋊C4—42no—
1335C4⋊C4—42no—
1336C4⋊C4—42no—
1337C4⋊C4—42no—
1338C4⋊C4—81no—
1339C4⋊C4—81no—
1340C4⋊C4—81no—
1341C4⋊C4—81no—
1342C4⋊C4—81no—
1343C4⋊C4C22×D412yes—
1344C22⋊C4—24no—
1345C22⋊C4—22no—
1346C22⋊C4—22no—
1347C22⋊C4—22no—
1348C22⋊C4—22no—
1349C22⋊C4—22no—
1350C22⋊C4—22no—
1351C22⋊C4—41no—
1352C22⋊C4—41no—
1353C22⋊C4—41no—
1354C22⋊C4—41no—
1355C22⋊C4—42no—
1356C22⋊C4—42no—
1357C22⋊C4—42no—
1358C22⋊C4—42no—
1359C22⋊C4—42no—
1360C22⋊C4—42no—
1361C22⋊C4—42no—
1362C22⋊C4—42no—
1363C22⋊C4—42no—
1364C22⋊C4—42no—
1365C22⋊C4—42no—
1366C22⋊C4—42no—
1367C22⋊C4—42no—
1368C22⋊C4—42no—
1369C22⋊C4—42no—
1370C22⋊C4—42no—
1371C22⋊C4—42no—
1372C22⋊C4—42no—
1373C22⋊C4—42no—
1374C22⋊C4—81no—
1375C22⋊C4—81no—
1376C22⋊C4—81no—
1377C22⋊C4—81no—
1378C22⋊C4—81no—
1379C22⋊C4—81no—
1380C22⋊C4—81no—
1381C22⋊C4—81no—
1382C22⋊C4—81no—
1383C22⋊C4—81no—
1384C22⋊C4—81no—
1385C22⋊C4—81no—
1386C42—22no—
1387C42—22no—
1388C42—21no—
1389C42—21no—
1390C42—21no—
1391C42—21no—
1392C42—21no—
1393C42—21no—
1394C42—21no—
1395C42—21no—
1396C42—42no—
1397C42—42no—
1398C42—42no—
1399C42—42no—
1400C42—81no—
1401C42—81no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—22no—
1418C23—22no—
1419C23—21no—
1420C23—22no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—48no—
1425C23—48no—
1426C23—48no—
1427C23—41no—
1428C23—41no—
1429C23—41no—
1430C23—41no—
1431C23—41no—
1432C23—41no—
1433C23—41no—
1434C23—41no—
1435C23—41no—
1436C23—41no—
1437C23—41no—
1438C23—41no—
1439C23—41no—
1440C23—41no—
1441C23—41no—
1442C23—41no—
1443C23—41no—
1444C23—41no—
1445C23—41no—
1446C23—41no—
1447C23—41no—
1448C23—41no—
1449C23—41no—
1450C23—41no—
1451C23—41no—
1452C23—41no—
1453C23—41no—
1454C23—41no—
1455C23—41no—
1456C23—41no—
1457C23—41no—
1458C23—41no—
1459C23—84no—
1460C23—84no—
1461C23—84no—
1462C23—84no—
1463C23—84no—
1464C23—162no—
1465C23—162no—
1466C23—162no—
1467C23—162no—
1468C23—162no—
1469C23—162no—
1470C23—162no—
1471C23—162no—
1472C23—162no—
1473C23—162no—
1474C23—162no—
1475C23—162no—
1476C23—162no—
1477C23—162no—
1478C23—162no—
1479C23—162no—
1480C23—162no—
1481C23—162no—
1482C23—162no—
1483C23—162no—
1484C23#53512yes—
1485C23D4212yes—
1486C23C23×D411yescharacteristic
1487Q8—22no—
1488Q8—22no—
1489Q8—22no—
1490Q8—22no—
1491Q8—44no—
1492Q8—41no—
1493Q8—41no—
1494Q8—41no—
1495Q8—41no—
1496Q8—41no—
1497Q8—41no—
1498Q8—41no—
1499Q8—41no—
1500Q8—41no—
1501Q8—41no—
1502Q8—41no—
1503Q8—41no—
1504Q8—84no—
1505Q8—84no—
1506D4—22no—
1507D4—22no—
1508D4—22no—
1509D4—22no—
1510D4—22no—
1511D4—22no—
1512D4—44no—
1513D4—44no—
1514D4—48no—
1515D4—48no—
1516D4—44no—
1517D4—48no—
1518D4—48no—
1519D4—48no—
1520D4—48no—
1521D4—41no—
1522D4—41no—
1523D4—41no—
1524D4—41no—
1525D4—41no—
1526D4—41no—
1527D4—41no—
1528D4—41no—
1529D4—41no—
1530D4—41no—
1531D4—41no—
1532D4—41no—
1533D4—41no—
1534D4—41no—
1535D4—84no—
1536D4—84no—
1537D4—84no—
1538D4—84no—
1539D4—84no—
1540D4—84no—
1541D4—84no—
1542D4—84no—
1543D4—84no—
1544D4—162no—
1545D4—162no—
1546D4—162no—
1547D4—162no—
1548D4—162no—
1549D4—162no—
1550D4—162no—
1551D4—162no—
1552C2×C4—28no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—22no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—44no—
1593C2×C4—48no—
1594C2×C4—48no—
1595C2×C4—48no—
1596C2×C4—41no—
1597C2×C4—41no—
1598C2×C4—41no—
1599C2×C4—41no—
1600C2×C4—41no—
1601C2×C4—41no—
1602C2×C4—41no—
1603C2×C4—41no—
1604C2×C4—41no—
1605C2×C4—41no—
1606C2×C4—41no—
1607C2×C4—41no—
1608C2×C4—41no—
1609C2×C4—41no—
1610C2×C4—41no—
1611C2×C4—41no—
1612C2×C4—41no—
1613C2×C4—41no—
1614C2×C4—41no—
1615C2×C4—41no—
1616C2×C4—41no—
1617C2×C4—41no—
1618C2×C4—41no—
1619C2×C4—41no—
1620C2×C4—41no—
1621C2×C4—41no—
1622C2×C4—41no—
1623C2×C4—41no—
1624C2×C4—41no—
1625C2×C4—41no—
1626C2×C4—41no—
1627C2×C4—41no—
1628C2×C4—41no—
1629C2×C4—41no—
1630C2×C4—84no—
1631C2×C4#53512yes—
1632C2×C4D4212yes—
1633C2×C4#57712yes—
1634C2×C4#57712yes—
1635C2×C4#57712yes—
1636C2×C4C23×D411yescharacteristic
1637C2×C4C2×H(5,𝔽2)11yescharacteristic
1638C2×C4C2×H(5,𝔽2)11yescharacteristic
1639C2×C4C2×H(5,𝔽2)11yescharacteristic
1640C2×C4C2×H(5,𝔽2)11yescharacteristic
1641C2×C4C2×H(5,𝔽2)11yescharacteristic
1642C8—22no—
1643C8—22no—
1644C8—41no—
1645C8—41no—
1646C8—41no—
1647C8—41no—
1648C8—41no—
1649C8—41no—
1650C22—22no—
1651C22—22no—
1652C22—22no—
1653C22—22no—
1654C22—22no—
1655C22—22no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—42no—
1665C22—42no—
1666C22—42no—
1667C22—41no—
1668C22—42no—
1669C22—42no—
1670C22—41no—
1671C22—42no—
1672C22—42no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—42no—
1677C22—41no—
1678C22—42no—
1679C22—41no—
1680C22—81no—
1681C22—81no—
1682C22—81no—
1683C22—81no—
1684C22—81no—
1685C22—81no—
1686C22—81no—
1687C22—81no—
1688C22—81no—
1689C22—81no—
1690C22—81no—
1691C22—81no—
1692C22—81no—
1693C22—81no—
1694C22—81no—
1695C22—81no—
1696C22—81no—
1697C22—81no—
1698C22—81no—
1699C22—81no—
1700C22—81no—
1701C22—81no—
1702C22—81no—
1703C22—81no—
1704C22—81no—
1705C22—81no—
1706C22—168no—
1707C22—168no—
1708C22—168no—
1709C22—168no—
1710C22C2×#53511yescharacteristic
1711C22C2×D4211yescharacteristic
1712C22#348411yescharacteristic
1713C22C2×#57711yescharacteristic
1714C22C2×#57711yescharacteristic
1715C22C2×#57711yescharacteristic
1716C22#358511yescharacteristic
1717C4—22no—
1718C4—22no—
1719C4—22no—
1720C4—22no—
1721C4—22no—
1722C4—41no—
1723C4—42no—
1724C4—42no—
1725C4—41no—
1726C4—42no—
1727C4—41no—
1728C4—41no—
1729C4—41no—
1730C4—41no—
1731C4—81no—
1732C4—81no—
1733C4—81no—
1734C4—81no—
1735C4—81no—
1736C4—81no—
1737C4—81no—
1738C4—81no—
1739C4#348411yescharacteristic
1740C4#348411yescharacteristic
1741C4#353211yescharacteristic
1742C4#353211yescharacteristic
1743C2—42no—
1744C2—42no—
1745C2—81no—
1746C2—82no—
1747C2—82no—
1748C2—82no—
1749C2—161no—
1750C2—161no—
1751C2#3764511yescharacteristic
1752C2#6081811yescharacteristic
1753C2#6083311yescharacteristic
1754C2#6105011yescharacteristic
1755C2#6107111yescharacteristic
1756C2#6166211yescharacteristic
1757C2#6168911yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#35527C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2297 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3208C2semidirect
2. C2×#3009C2semidirect
3. #37783C2semidirect
5. #32886C2semidirect
6. #31004C2semidirect
7. #30999C2semidirect
8. #30527C2semidirect
9. #30521C2semidirect
10. #30474C2semidirect
11. #30459C2semidirect
12. #30456C2semidirect
13. #30456C2semidirect
14. #29723C2semidirect
15. #29625C2semidirect
16. #27273C2semidirect
17. #27257C2semidirect
18. #25790C2semidirect
19. #25774C2semidirect
20. #25732C2semidirect
21. #25093C2semidirect
22. #25077C2semidirect
23. #24505C2semidirect
24. #24394C2semidirect
25. #24368C2semidirect
26. #24356C2semidirect
27. #24220C2semidirect
28. #23935C2semidirect
29. #23926C2semidirect
30. #22556C2semidirect
31. #22052C2semidirect
33. C22×#137C22semidirect
34. C23×SD16C22semidirect
38. C2×#533C22semidirect
41. C2×#497C22semidirect
42. C2×#492C22semidirect
43. C2×#492C22semidirect
44. C2×#492C22semidirect
45. C2×#486C22semidirect
46. C2×#486C22semidirect
47. C2×#468C22semidirect
48. C2×#465C22semidirect
49. C2×#464C22semidirect
50. C2×#460C22semidirect
51. C2×#460C22semidirect
52. C2×#460C22semidirect
53. C2×#460C22semidirect
54. C2×#460C22semidirect
59. C2×#452C22semidirect
60. C2×#452C22semidirect
61. C2×#452C22semidirect
62. C2×#452C22semidirect
63. C2×#448C22semidirect
64. C2×#448C22semidirect
68. C2×#450C22semidirect
69. C2×#450C22semidirect
70. C2×#450C22semidirect
71. C2×#450C22semidirect
72. C2×#450C22semidirect
73. C2×#450C22semidirect
74. C2×#450C22semidirect
75. C2×#431C22semidirect
76. C2×#418C22semidirect
77. C2×#416C22semidirect
79. #2855C22semidirect
84. #2621C22semidirect
86. #2492C22semidirect
91. #2439C22semidirect
92. #2434C22semidirect
105. #2429C22semidirect
106. #2429C22semidirect
107. #2421C22semidirect
112. #2362C22semidirect
113. Q8×C22⋊C4C22semidirect
114. #2323C22semidirect
118. #2073C22semidirect
119. #2073C22semidirect
120. #2067C22semidirect
121. #2066C22semidirect
122. #2056C22semidirect
123. #2055C22semidirect
124. #2055C22semidirect
125. #2055C22semidirect
126. #2055C22semidirect
127. #2055C22semidirect
128. #2042C22semidirect
129. #2041C22semidirect
130. #2041C22semidirect
131. #2041C22semidirect
132. #2041C22semidirect
133. #2041C22semidirect
134. #2034C22semidirect
135. #2033C22semidirect
136. #2024C22semidirect
137. #2023C22semidirect
138. #2016C22semidirect
139. #2015C22semidirect
140. #2015C22semidirect
141. #2015C22semidirect
142. #2014C22semidirect
143. #2014C22semidirect
144. #2014C22semidirect
145. #2014C22semidirect
146. #2014C22semidirect
147. #2014C22semidirect
148. #2014C22semidirect
149. #2013C22semidirect
150. #2013C22semidirect
151. #2013C22semidirect
152. #2000C22semidirect
153. #2000C22semidirect
154. #2000C22semidirect
155. #2000C22semidirect
156. #2000C22semidirect
157. #2000C22semidirect
158. #1983C22semidirect
159. #1982C22semidirect
160. #1973C22semidirect
161. #1969C22semidirect
162. #1968C22semidirect
163. #1968C22semidirect
164. #1961C22semidirect
165. #1958C22semidirect
166. #1936C22semidirect
167. #1934C22semidirect
168. #1934C22semidirect
169. #1933C22semidirect
170. #1926C22semidirect
171. #1925C22semidirect
172. #1924C22semidirect
173. #1923C22semidirect
174. #1923C22semidirect
175. #1923C22semidirect
176. #1895C22semidirect
177. #1893C22semidirect
178. #1880C22semidirect
179. #1880C22semidirect
180. #1880C22semidirect
181. #1880C22semidirect
182. #1878C22semidirect
183. #1878C22semidirect
184. #1875C22semidirect
185. #1875C22semidirect
186. #1873C22semidirect
187. #1873C22semidirect
188. #1873C22semidirect
189. #1854C22semidirect
190. #1851C22semidirect
191. #1850C22semidirect
192. #1817C22semidirect
193. #1798C22semidirect
195. #1788C22semidirect
196. #1788C22semidirect
198. #1786C22semidirect
199. #1786C22semidirect
200. #1786C22semidirect
202. #1753C22semidirect
203. C8×C22⋊C4C22semidirect
204. #1750C22semidirect
347. #450D4semidirect

Maximal subgroups

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

subgroupindex
C2×#32082
C2×#30092
#377832
#355272
#328862
#310042
#309992
#305272
#305212
#304742
#304592
#304562
#297232
#296252
#272732
#272572
#257902
#257742
#257322
#250932
#250772
#245052
#243942
#243682
#243562
#242202
#239352
#239262
#225562
#220522