Finite Group Databasebeta

← #6809446

Subgroups — #6809446

Order 512.

2507 conjugacy classes of subgroups.

The subgroup lattice has 1780 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3203C211yesmaximal, characteristic, complemented
2C2×#3188C211yesmaximal, characteristic, complemented
3#37657C211yesmaximal, characteristic, complemented
4#35565C211yesmaximal, characteristic, complemented
5#33118C211yesmaximal, characteristic, complemented
6#30722C211yesmaximal, characteristic, complemented
7#30715C211yesmaximal, characteristic, complemented
8#30714C211yesmaximal, characteristic, complemented
9#30701C211yesmaximal, characteristic, complemented
10#30515C211yesmaximal, characteristic, complemented
11#30505C211yesmaximal, characteristic, complemented
12#30503C211yesmaximal, characteristic, complemented
13#30502C211yesmaximal, characteristic, complemented
14#29606C211yesmaximal, characteristic, complemented
15#29592C211yesmaximal, characteristic, complemented
16#28493C211yesmaximal, characteristic, complemented
17#28485C211yesmaximal, characteristic, complemented
18#26248C211yesmaximal, characteristic, complemented
19#26238C211yesmaximal, characteristic, complemented
20#25765C211yesmaximal, characteristic, complemented
21#25759C211yesmaximal, characteristic, complemented
22#25734C211yesmaximal, characteristic, complemented
23#25402C211yesmaximal, characteristic, complemented
24#25389C211yesmaximal, characteristic, complemented
25#24390C211yesmaximal, characteristic, complemented
26#24382C211yesmaximal, characteristic, complemented
27#24220C211yesmaximal, characteristic, complemented
28#23924C211yesmaximal, characteristic, complemented
29#23923C211yesmaximal, characteristic, complemented
30#22398C211yesmaximal, characteristic, complemented
31#21585C211yesmaximal, characteristic, complemented
32C2×#550C2211yescharacteristic, complemented
33C2×#537C2211yescharacteristic
34C2×#537C2211yescharacteristic
35C2×#535C2211yescharacteristic
36C2×#535C2211yescharacteristic
37C2×#525C2211yescharacteristic
38C2×#525C2211yescharacteristic
39C2×#525C2211yescharacteristic
40C22×#121C2211yescharacteristic
41#3203—28no—
42#3188—28no—
43C2×#496C2211yescharacteristic, complemented
44C2×#493C2211yescharacteristic, complemented
45C2×#484C2211yescharacteristic
46C2×#484C2211yescharacteristic, complemented
47C2×#481C2211yescharacteristic
48C2×#482C2211yescharacteristic
49C2×#482C2211yescharacteristic
50C2×#480C2211yescharacteristic
51C2×#480C2211yescharacteristic, complemented
52C2×#469C2211yescharacteristic, complemented
53C2×#468C2211yescharacteristic, complemented
54C2×#468C2211yescharacteristic, complemented
55C2×#467C2211yescharacteristic, complemented
56C2×#466C2211yescharacteristic
57C2×#466C2211yescharacteristic
58C2×#466C2211yescharacteristic, complemented
59C2×#466C2211yescharacteristic, complemented
60C2×#466C2211yescharacteristic, complemented
61C2×#465C2211yescharacteristic
62C2×#465C2211yescharacteristic
63C2×#465C2211yescharacteristic, complemented
64C2×#464C2211yescharacteristic, complemented
65C2×#460C2211yescharacteristic, complemented
66C2×#452C2211yescharacteristic
67C2×#452C2211yescharacteristic, complemented
68C2×#452C2211yescharacteristic, complemented
69C2×#449C2211yescharacteristic
70C2×#449C2211yescharacteristic
71C2×#449C2211yescharacteristic
72C2×#449C2211yescharacteristic
73C2×#449C2211yescharacteristic, complemented
74C2×#449C2211yescharacteristic, complemented
75C2×#449C2211yescharacteristic, complemented
76C2×#449C2211yescharacteristic, complemented
77C2×#450C2211yescharacteristic
78C2×#447C2211yescharacteristic
79C2×#447C2211yescharacteristic
80C2×#435C2211yescharacteristic, complemented
81C2×C8×D4C2211yescharacteristic, complemented
82C2×#408C2211yescharacteristic
83C22×C22⋊C8C2211yescharacteristic
84#2847C2211yescharacteristic
85#2681—21no—
86#2673—21no—
87#2669—21no—
88#2669—21no—
89#2619C2211yescharacteristic
90#2615C2211yescharacteristic
91#2541—21no—
92#2541—21no—
93#2541C2211yescharacteristic
94#2541C2211yescharacteristic
95#2541C2211yescharacteristic
96#2541C2211yescharacteristic
97#2541C2211yescharacteristic, complemented
98#2540—21no—
99#2540—21no—
100#2540C2211yescharacteristic
101#2540C2211yescharacteristic
102#2540C2211yescharacteristic
103#2540C2211yescharacteristic
104#2539—21no—
105#2539—21no—
106#2536C2211yescharacteristic, complemented
107#2464—21no—
108#2463—21no—
109#2456—21no—
110#2433—21no—
111#2433—21no—
112#2428—21no—
113#2416C2211yescharacteristic, complemented
114#2414C2211yescharacteristic, complemented
115#2407C2211yescharacteristic, complemented
116#2407C2211yescharacteristic, complemented
117#2352C2211yescharacteristic, complemented
118#2323C2211yescharacteristic
119#2274C2211yescharacteristic
120#2042C2211yescharacteristic, complemented
121#2041C2211yescharacteristic, complemented
122#2036C2211yescharacteristic, complemented
123#2035C2211yescharacteristic, complemented
124#2035C2211yescharacteristic, complemented
125#2034C2211yescharacteristic, complemented
126#2034C2211yescharacteristic, complemented
127#2034C2211yescharacteristic, complemented
128#2034C2211yescharacteristic, complemented
129#2033C2211yescharacteristic
130#2033C2211yescharacteristic
131#2033C2211yescharacteristic
132#2033C2211yescharacteristic
133#2033C2211yescharacteristic, complemented
134#2015C2211yescharacteristic, complemented
135#2014C2211yescharacteristic, complemented
136#2012C2211yescharacteristic, complemented
137#2012C2211yescharacteristic, complemented
138#2011C2211yescharacteristic, complemented
139#2011C2211yescharacteristic, complemented
140#2001C2211yescharacteristic, complemented
141#2000C2211yescharacteristic, complemented
142#2000C2211yescharacteristic, complemented
143#2000C2211yescharacteristic, complemented
144#2000C2211yescharacteristic, complemented
145#2000C2211yescharacteristic, complemented
146#2000C2211yescharacteristic, complemented
147#2000C2211yescharacteristic, complemented
148#1999C2211yescharacteristic
149#1999C2211yescharacteristic
150#1999C2211yescharacteristic
151#1999C2211yescharacteristic
152#1999C2211yescharacteristic, complemented
153#1999C2211yescharacteristic, complemented
154#1999C2211yescharacteristic, complemented
155#1999C2211yescharacteristic, complemented
156#1999C2211yescharacteristic, complemented
157#1999C2211yescharacteristic, complemented
158#1999C2211yescharacteristic, complemented
159#1999C2211yescharacteristic, complemented
160#1983C2211yescharacteristic, complemented
161#1982C2211yescharacteristic, complemented
162#1982C2211yescharacteristic, complemented
163#1982C2211yescharacteristic, complemented
164#1961C2211yescharacteristic, complemented
165#1958C2211yescharacteristic, complemented
166#1955C2211yescharacteristic, complemented
167#1954C2211yescharacteristic, complemented
168#1949C2211yescharacteristic, complemented
169#1949C2211yescharacteristic, complemented
170#1928C2211yescharacteristic, complemented
171#1927C2211yescharacteristic, complemented
172#1926C2211yescharacteristic, complemented
173#1926C2211yescharacteristic, complemented
174#1925C2211yescharacteristic, complemented
175#1925C2211yescharacteristic, complemented
176#1921C2211yescharacteristic, complemented
177#1918C2211yescharacteristic, complemented
178#1895C2211yescharacteristic, complemented
179#1893C2211yescharacteristic, complemented
180#1893C2211yescharacteristic, complemented
181#1892C2211yescharacteristic, complemented
182#1875C2211yescharacteristic
183#1875C2211yescharacteristic
184#1875C2211yescharacteristic, complemented
185#1874C2211yescharacteristic, complemented
186#1874C2211yescharacteristic, complemented
187#1873C2211yescharacteristic
188#1873C2211yescharacteristic, complemented
189#1870C2211yescharacteristic, complemented
190#1869C2211yescharacteristic, complemented
191#1869C2211yescharacteristic, complemented
192#1869C2211yescharacteristic, complemented
193#1854C2211yescharacteristic
194#1823C2211yescharacteristic
195#1798C2211yescharacteristic
196#1788C2211yescharacteristic
197#1786C2211yescharacteristic
198#1780C2211yescharacteristic
199#1779C2211yescharacteristic
200#1776C2211yescharacteristic, complemented
201C4×#107C2211yescharacteristic, complemented
202#1763C2211yescharacteristic, complemented
203C4×#103C2211yescharacteristic, complemented
204#1750C2211yescharacteristic
205C22×#41C2311yescharacteristic
206C22×#41C2311yescharacteristic
207C22×#41C2311yescharacteristic
208C22×#41C2311yescharacteristic
209C23×D4—21no—
210C23×D4C2311yescharacteristic
211C24×C4C2311yescharacteristic
212C22×Q16C2311yescharacteristic
213C22×SD16C2311yescharacteristic
214C22×SD16C2311yescharacteristic
215C22×SD16C2311yescharacteristic
216C22×SD16C2311yescharacteristic
217C22×SD16C2311yescharacteristic
218C22×D8C2311yescharacteristic
219C22×D8C2311yescharacteristic
220C22×D8C2311yescharacteristic
221C22×D8C2311yescharacteristic
222C22×D8C2311yescharacteristic
223C22×D8C2311yescharacteristic
224C22×M16C2311yescharacteristic
225C23×C8C2311yescharacteristic
226C23×C8C2311yescharacteristic
227C23×C8C2311yescharacteristic
228#550—42no—
229#550—42no—
230#537—24no—
231#537—24no—
232#537—42no—
233#537—42no—
234#535—42no—
235#535—42no—
236#535—42no—
237#535—42no—
238C2×#127—21no—
239C2×#127—21no—
240C2×#127—21no—
241C2×#127—21no—
242C2×#127—21no—
243C2×#127—21no—
244C2×#127—21no—
245C2×#127C2311yescharacteristic
246C2×#127C2311yescharacteristic
247C2×#127C2311yescharacteristic
248C2×#124—21no—
249C2×#124C2311yescharacteristic
250C2×#124C2311yescharacteristic
251#525—24no—
252#525—42no—
253#525—42no—
254#525—42no—
255#525—42no—
256#525—42no—
257C2×#123—21no—
258C2×#123—21no—
259C2×#123D411yescharacteristic
260C2×#123D411yescharacteristic
261C2×C22⋊Q8—21no—
262C2×C22⋊Q8—21no—
263C2×C22⋊Q8D411yescharacteristic
264C2×C22⋊Q8D411yescharacteristic
265C2×C22⋊Q8C2311yescharacteristic
266C2×C22⋊Q8C2311yescharacteristic
267C2×C22⋊Q8C2311yescharacteristic
268C2×C22⋊Q8C2311yescharacteristic
269C2×C22⋊Q8C2311yescharacteristic
270C2×C22⋊Q8C2311yescharacteristic
271C2×C22⋊Q8C2311yescharacteristic
272C2×#121—21no—
273C2×#121—21no—
274C2×#121—21no—
275C2×#121—21no—
276C2×#121—21no—
277C2×#121—21no—
278C2×#121—21no—
279C2×#121—21no—
280C2×#121—21no—
281C2×#121—21no—
282C2×#121—21no—
283C2×#121—21no—
284C2×#121—21no—
285C2×#121—24no—
286C2×#121—42no—
287C2×#121D411yescharacteristic
288C2×#121D411yescharacteristic
289C2×#121C2311yescharacteristic
290C2×#121C2311yescharacteristic
291C2×#121C2311yescharacteristic
292C2×#121C2311yescharacteristic
293C2×#121C2311yescharacteristic
294C2×#121C2311yescharacteristic
295C2×#121C2311yescharacteristic
296C2×#121C2311yescharacteristic
297C2×#121C2311yescharacteristic
298C2×#121C2311yescharacteristic
299C2×#121C2311yescharacteristic
300C2×#121C2311yescharacteristic
301C2×#121C2311yescharacteristic
302C2×#121C2311yescharacteristic
303C2×#121C2311yescharacteristic
304C2×#121C2311yescharacteristic
305C2×#121C2311yescharacteristic
306C2×#121C2311yescharacteristic
307C2×#121C2311yescharacteristic
308C2×#121C2311yescharacteristic
309C2×#120—21no—
310C2×#120—21no—
311C2×#120—21no—
312C2×#120—21no—
313C2×#120—21no—
314C2×#120—21no—
315C2×#120—21no—
316C2×#120D411yescharacteristic
317C2×#120D411yescharacteristic
318C2×C4×Q8C2311yescharacteristic
319C2×C4×D4—21no—
320C2×C4×D4—21no—
321C2×C4×D4—21no—
322C2×C4×D4—21no—
323C2×C4×D4—21no—
324C2×C4×D4C2311yescharacteristic
325C2×C4×D4C2311yescharacteristic
326C2×C4×D4C2311yescharacteristic
327C2×C4×D4C2311yescharacteristic
328C2×#117C2311yescharacteristic
329C2×#117C2311yescharacteristic
330C2×#117C2311yescharacteristic
331C22×C4⋊C4C2311yescharacteristic
332C22×C4⋊C4C2311yescharacteristic
333C22×C22⋊C4—21no—
334#496—42no—
335#493—42no—
336#484—24no—
337#484D418yescomplemented
338#482—24no—
339#482—24no—
340#481—24no—
341#480—24no—
342#480—24no—
343#469—42no—
344#468—24no—
345#468—24no—
346#467—24no—
347#466—24no—
348#466—24no—
349#466—24no—
350#466—42no—
351#466—42no—
352#465—24no—
353#465—24no—
354#465—42no—
355#464—42no—
356#460—42no—
357#452—24no—
358#452—24no—
359#452—42no—
360#450—24no—
361#449—24no—
362#449—24no—
363#449—24no—
364#449—24no—
365#449—42no—
366#449—42no—
367#449—42no—
368#449—42no—
369#447—24no—
370#447—42no—
371#435—42no—
372C8×D4—42no—
373C2×#107C2311yescharacteristic
374C2×#107C2311yescharacteristic
375C2×#107C2311yescharacteristic
376C2×#107C2311yescharacteristic
377C2×#107C2311yescharacteristic
378C2×#106C2311yescharacteristic
379C2×#106C2311yescharacteristic
380C2×#106C2311yescharacteristic
381C2×C4⋊C8C2311yescharacteristic
382C2×C4⋊C8C2311yescharacteristic
383C2×#103C2311yescharacteristic
384C2×#103C2311yescharacteristic
385C2×#103C2311yescharacteristic
386C2×#103C2311yescharacteristic
387C2×#103C2311yescharacteristic
388C2×#103C2311yescharacteristic
389C2×#103C2311yescharacteristic
390C2×#103C2311yescharacteristic
391C2×#103C2311yescharacteristic
392C2×#102C2311yescharacteristic
393C2×#102C2311yescharacteristic
394C2×#102C2311yescharacteristic
395C2×#102C2311yescharacteristic
396C2×#102C2311yescharacteristic
397C2×#102C2311yescharacteristic
398C2×#102C2311yescharacteristic
399C2×#102C2311yescharacteristic
400C2×#102C2311yescharacteristic
401C2×#102C2311yescharacteristic
402C2×#102C2311yescharacteristic
403C2×#102C2311yescharacteristic
404C2×#102C2311yescharacteristic
405C2×#102C2311yescharacteristic
406C2×#102C2311yescharacteristic
407C2×#102C2311yescharacteristic
408C2×#102C2311yescharacteristic
409C2×#102C2311yescharacteristic
410C2×#102C2311yescharacteristic
411C2×#102C2311yescharacteristic
412C2×#102C2311yescharacteristic
413C2×#102C2311yescharacteristic
414C2×#102C2311yescharacteristic
415#408—24no—
416C2×C22⋊C8—24no—
417C2×C22⋊C8C2311yescharacteristic
418C2×C22⋊C8C2311yescharacteristic
419C2×C22⋊C8C2311yescharacteristic
420C2×C22⋊C8C2311yescharacteristic
421C2×C22⋊C8C2311yescharacteristic
422C2×C22⋊C8C2311yescharacteristic
423C2×C22⋊C8C2311yescharacteristic
424C2×C22⋊C8C2311yescharacteristic
425C2×C22⋊C8C2311yescharacteristic
426C2×C22⋊C8C2311yescharacteristic
427C2×C22⋊C8C2311yescharacteristic
428C2×C22⋊C8C2311yescharacteristic
429C2×C22⋊C8C2311yescharacteristic
430C2×C22⋊C8C2311yescharacteristic
431C2×C22⋊C8C2311yescharacteristic
432C2×C22⋊C8C2311yescharacteristic
433C2×#97C2311yescharacteristic
434C2×C4×C8C2311yescharacteristic
435#399—21no—
436#399—21no—
437#399—21no—
438#399—21no—
439#398—21no—
440#396—21no—
441#394—21no—
442#394—21no—
443#394—21no—
444#394—21no—
445#394—21no—
446#394—21no—
447#394—21no—
448#393—21no—
449#392—21no—
450#392—21no—
451#392—21no—
452#392—21no—
453#392—21no—
454#392—21no—
455#392—21no—
456#392—21no—
457#392—21no—
458#392—21no—
459#392—21no—
460#392—21no—
461#392—21no—
462#392—21no—
463#392—21no—
464#392—21no—
465#392—21no—
466#392—21no—
467#392—21no—
468#392—21no—
469#392—21no—
470#392—21no—
471#391C2311yescharacteristic
472#390—21no—
473#390—21no—
474#390—21no—
475#390—21no—
476#390—21no—
477#390—21no—
478#390—21no—
479#390—21no—
480#390—21no—
481#390—21no—
482#390—21no—
483#390—21no—
484#390—21no—
485#390—21no—
486#390C2311yescharacteristic
487#390C2311yescharacteristic
488#389—21no—
489#389C2311yescharacteristic
490#388—21no—
491#388—21no—
492#388—21no—
493#388—21no—
494#388—21no—
495#388—21no—
496#387—21no—
497#387—21no—
498#386—21no—
499#386—21no—
500#386—21no—
501#386—21no—
502#386—21no—
503#386—21no—
504#386—21no—
505#385—21no—
506#385—21no—
507#382C2311yescharacteristic
508#380C2311yescharacteristic
509#380C2311yescharacteristic
510#380C2311yescharacteristic
511#380C2311yescharacteristic
512#380C2311yescharacteristic
513C4×C4⋊C4—21no—
514C4×C4⋊C4—21no—
515C4×C4⋊C4C2311yescharacteristic
516C4×C4⋊C4C2311yescharacteristic
517C4×C4⋊C4C2311yescharacteristic
518C4×C4⋊C4C2311yescharacteristic
519C4×C4⋊C4C2311yescharacteristic
520C4×C22⋊C4—21no—
521C4×C22⋊C4—21no—
522C4×C22⋊C4—21no—
523#340C2311yescharacteristic
524#340C2311yescharacteristic
525#340C2311yescharacteristic
526#340C2311yescharacteristic
527#340C2311yescharacteristic
528#340C2311yescharacteristic
529#340C2311yescharacteristic
530#340C2311yescharacteristic
531#340C2311yescharacteristic
532#340C2311yescharacteristic
533#340C2311yescharacteristic
534#340C2311yescharacteristic
535#336C2311yescharacteristic
536#336C2311yescharacteristic
537#336C2311yescharacteristic
538#336C2311yescharacteristic
539C25—21no—
540C25C2×D411yescharacteristic
541C2×#41—22no—
542C2×#41—22no—
543C2×#41—22no—
544C2×#41—22no—
545C2×#41—22no—
546C2×#41—22no—
547C2×#41—41no—
548C2×#41—41no—
549C2×#41—41no—
550C2×#41—41no—
551C2×#41—41no—
552C2×#41—41no—
553C2×#41—41no—
554C2×#41—41no—
555C2×#41—41no—
556C2×#41—41no—
557C2×#41—41no—
558C2×#41—41no—
559C2×#41—41no—
560C2×#41—41no—
561C2×#41—41no—
562C2×#41—41no—
563C2×#41—41no—
564C2×#41—41no—
565C22×Q8C2×D411yescharacteristic
566C22×Q8C2411yescharacteristic
567C22×Q8C2411yescharacteristic
568C22×D4—21no—
569C22×D4—21no—
570C22×D4—21no—
571C22×D4—21no—
572C22×D4—21no—
573C22×D4—21no—
574C22×D4—21no—
575C22×D4—21no—
576C22×D4—21no—
577C22×D4—21no—
578C22×D4—21no—
579C22×D4—21no—
580C22×D4—21no—
581C22×D4—21no—
582C22×D4—21no—
583C22×D4—21no—
584C22×D4—21no—
585C22×D4—21no—
586C22×D4—21no—
587C22×D4—21no—
588C22×D4—21no—
589C22×D4—21no—
590C22×D4—21no—
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—41no—
601C22×D4—41no—
602C22×D4—41no—
603C22×D4—41no—
604C22×D4—44no—
605C22×D4—82no—
606C22×D4—82no—
607C22×D4C2×D411yescharacteristic
608C22×D4C2×D411yescharacteristic
609C22×D4C2×D411yescharacteristic
610C22×D4C2×D411yescharacteristic
611C22×D4C2×D411yescharacteristic
612C22×D4C2×D411yescharacteristic
613C22×D4C2×D411yescharacteristic
614C22×D4C2411yescharacteristic
615C22×D4C2411yescharacteristic
616C22×D4C2411yescharacteristic
617C22×D4C2411yescharacteristic
618C22×D4C2411yescharacteristic
619C23×C4—21no—
620C23×C4—22no—
621C23×C4—22no—
622C23×C4—21no—
623C23×C4—21no—
624C23×C4—21no—
625C23×C4—21no—
626C23×C4—41no—
627C23×C4—41no—
628C23×C4—41no—
629C23×C4—41no—
630C23×C4C2×D411yescharacteristic
631C23×C4C2×D411yescharacteristic
632C23×C4C2×D411yescharacteristic
633C23×C4C2411yescharacteristic
634C23×C4C2411yescharacteristic
635C23×C4C2411yescharacteristic
636C23×C4C2411yescharacteristic
637C23×C4C2411yescharacteristic
638C2×Q16—22no—
639C2×Q16—41no—
640C2×Q16—41no—
641C2×SD16—22no—
642C2×SD16—22no—
643C2×SD16—22no—
644C2×SD16—22no—
645C2×SD16—41no—
646C2×SD16—41no—
647C2×SD16—41no—
648C2×SD16—41no—
649C2×SD16—41no—
650C2×SD16—41no—
651C2×SD16—41no—
652C2×SD16—41no—
653C2×SD16—41no—
654C2×SD16—41no—
655C2×SD16—41no—
656C2×D8—22no—
657C2×D8—22no—
658C2×D8—22no—
659C2×D8—41no—
660C2×D8—41no—
661C2×D8—41no—
662C2×D8—41no—
663C2×D8—41no—
664C2×D8—41no—
665C2×D8—41no—
666C2×D8—41no—
667C2×D8—41no—
668C2×D8—41no—
669C2×D8—41no—
670C2×D8—41no—
671C2×D8—41no—
672C2×D8—41no—
673C2×D8—41no—
674C2×M16—22no—
675C2×M16—41no—
676C2×M16—41no—
677C22×C8—22no—
678C22×C8—22no—
679C22×C8—22no—
680C22×C8—41no—
681C22×C8—41no—
682C22×C8—41no—
683C22×C8—41no—
684C22×C8—41no—
685C22×C8—41no—
686C22×C8C2411yescharacteristic
687C22×C8C2411yescharacteristic
688C22×C8C2411yescharacteristic
689C22×C8C2411yescharacteristic
690C22×C8C2411yescharacteristic
691C22×C8C2411yescharacteristic
692C22×C8C2411yescharacteristic
693C22×C8C2411yescharacteristic
694#127—22no—
695#127—22no—
696#127—22no—
697#127—22no—
698#127—41no—
699#127—41no—
700#127—44no—
701#127—44no—
702#127—82no—
703#127—82no—
704#127—82no—
705#127—82no—
706#127—82no—
707#124—22no—
708#124—22no—
709#124—41no—
710#124—41no—
711#124—44no—
712#123—42no—
713#123—42no—
714#123—44no—
715#123—44no—
716C22⋊Q8—22no—
717C22⋊Q8—22no—
718C22⋊Q8—22no—
719C22⋊Q8—22no—
720C22⋊Q8—22no—
721C22⋊Q8—22no—
722C22⋊Q8—22no—
723C22⋊Q8—42no—
724C22⋊Q8—42no—
725C22⋊Q8—41no—
726C22⋊Q8—41no—
727C22⋊Q8—41no—
728C22⋊Q8—41no—
729C22⋊Q8—41no—
730C22⋊Q8—41no—
731C22⋊Q8—44no—
732C22⋊Q8—44no—
733C22⋊Q8C2×D414yes—
734#121—22no—
735#121—22no—
736#121—22no—
737#121—22no—
738#121—22no—
739#121—22no—
740#121—22no—
741#121—22no—
742#121—22no—
743#121—22no—
744#121—22no—
745#121—22no—
746#121—22no—
747#121—22no—
748#121—22no—
749#121—22no—
750#121—22no—
751#121—22no—
752#121—42no—
753#121—42no—
754#121—44no—
755#121—44no—
756#121—44no—
757#121—44no—
758#121—41no—
759#121—41no—
760#121—41no—
761#121—41no—
762#121—41no—
763#121—41no—
764#121—41no—
765#121—41no—
766#121—41no—
767#121—41no—
768#121—41no—
769#121—41no—
770#121—41no—
771#121—41no—
772#121—41no—
773#121—41no—
774#121—41no—
775#121—41no—
776#121—44no—
777#121—44no—
778#121—44no—
779#121—44no—
780#121—44no—
781#121—44no—
782#121—44no—
783#121—44no—
784#121—41no—
785#121—41no—
786#121—41no—
787#121—41no—
788#121—82no—
789#120—42no—
790#120—42no—
791#120—44no—
792#120—44no—
793#120—44no—
794#120—44no—
795#120—44no—
796#120—44no—
797#120—82no—
798C4×Q8—22no—
799C4×Q8—22no—
800C4×D4—22no—
801C4×D4—22no—
802C4×D4—22no—
803C4×D4—22no—
804C4×D4—41no—
805C4×D4—41no—
806C4×D4—41no—
807C4×D4—41no—
808C4×D4—44no—
809C4×D4—44no—
810C4×D4—44no—
811C4×D4—44no—
812C4×D4—44no—
813#117—22no—
814#117—22no—
815#117—22no—
816#117—22no—
817#117—22no—
818#117—41no—
819C2×C4⋊C4—21no—
820C2×C4⋊C4—21no—
821C2×C4⋊C4—22no—
822C2×C4⋊C4—22no—
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—41no—
833C2×C4⋊C4C2×D411yescharacteristic
834C2×C4⋊C4C2×D411yescharacteristic
835C2×C4⋊C4C2×D411yescharacteristic
836C2×C4⋊C4C2×D411yescharacteristic
837C2×C4⋊C4C2×D414yes—
838C2×C4⋊C4C2×D411yescharacteristic
839C2×C4⋊C4C2×D411yescharacteristic
840C2×C4⋊C4C2411yescharacteristic
841C2×C4⋊C4C2411yescharacteristic
842C2×C4⋊C4C2411yescharacteristic
843C2×C4⋊C4C2411yescharacteristic
844C2×C4⋊C4C2411yescharacteristic
845C2×C4⋊C4C2411yescharacteristic
846C2×C4⋊C4C2411yescharacteristic
847C2×C4⋊C4C2411yescharacteristic
848C2×C4⋊C4C2411yescharacteristic
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⋊C4—21no—
878C2×C22⋊C4—21no—
879C2×C22⋊C4—21no—
880C2×C22⋊C4—21no—
881C2×C22⋊C4—21no—
882C2×C22⋊C4—21no—
883C2×C22⋊C4—21no—
884C2×C22⋊C4—21no—
885C2×C22⋊C4—21no—
886C2×C22⋊C4—21no—
887C2×C22⋊C4—21no—
888C2×C22⋊C4—21no—
889C2×C22⋊C4—21no—
890C2×C22⋊C4—21no—
891C2×C22⋊C4—44no—
892C2×C22⋊C4C2×D411yescharacteristic
893C2×C22⋊C4C2×D411yescharacteristic
894C2×C22⋊C4C2×D411yescharacteristic
895C2×C22⋊C4C2×D411yescharacteristic
896C2×C22⋊C4C2×D411yescharacteristic
897C2×C22⋊C4C2×D411yescharacteristic
898C2×C22⋊C4C2×D411yescharacteristic
899C2×C22⋊C4C2×D411yescharacteristic
900C2×C22⋊C4C2×D411yescharacteristic
901C2×C22⋊C4C2×D411yescharacteristic
902C2×C42—21no—
903C2×C42—21no—
904C2×C42—21no—
905C2×C42—21no—
906C2×C42—21no—
907C2×C42—21no—
908C2×C42—21no—
909C2×C42—21no—
910C2×C42C2411yescharacteristic
911C2×C42C2411yescharacteristic
912#107—22no—
913#107—22no—
914#107—22no—
915#107C2×D414yes—
916#107C2×D414yes—
917#106—22no—
918#106—22no—
919#106—22no—
920C4⋊C8—22no—
921C4⋊C8—22no—
922#103—22no—
923#103—22no—
924#103—22no—
925#103—22no—
926#103—41no—
927#103—41no—
928#103—41no—
929#103C2×D414yes—
930#103C2×D414yes—
931#102—22no—
932#102—22no—
933#102—22no—
934#102—22no—
935#102—22no—
936#102—22no—
937#102—22no—
938#102—22no—
939#102—22no—
940#102—22no—
941#102—22no—
942#102—22no—
943#102—22no—
944#102—22no—
945#102—41no—
946#102—41no—
947#102—41no—
948#102—41no—
949#102—41no—
950#102—41no—
951#102—41no—
952#102—41no—
953#102—41no—
954C22⋊C8—22no—
955C22⋊C8—22no—
956C22⋊C8—22no—
957C22⋊C8—22no—
958C22⋊C8—22no—
959C22⋊C8—22no—
960C22⋊C8—22no—
961C22⋊C8—41no—
962C22⋊C8—41no—
963C22⋊C8—41no—
964C22⋊C8—41no—
965C22⋊C8—41no—
966C22⋊C8—41no—
967C22⋊C8—41no—
968C22⋊C8—41no—
969C22⋊C8C2×D414yes—
970#97—22no—
971C4×C8—22no—
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#95—21no—
981#95—21no—
982#95—21no—
983#95—21no—
984#95—21no—
985#95—21no—
986#95—21no—
987C24—22no—
988C24—22no—
989C24—21no—
990C24—21no—
991C24—21no—
992C24—21no—
993C24—21no—
994C24—41no—
995C24—41no—
996C24—41no—
997C24—41no—
998C24—41no—
999C24—42no—
1000C24—42no—
1001C24—42no—
1002C24—81no—
1003C24—81no—
1004C24—81no—
1005C24—81no—
1006C24C22×D411yescharacteristic
1007C24C22×D411yescharacteristic
1008C24C22×D411yescharacteristic
1009C24C22×D411yescharacteristic
1010C24C22×D411yescharacteristic
1011#41—82no—
1012#41—82no—
1013#41—82no—
1014#41—82no—
1015#41—82no—
1016#41—82no—
1017#41—82no—
1018#41—82no—
1019#41—82no—
1020#41—82no—
1021#41—82no—
1022#41—82no—
1023#41—82no—
1024#41—82no—
1025#41—82no—
1026#41—82no—
1027C2×Q8—22no—
1028C2×Q8—21no—
1029C2×Q8—21no—
1030C2×Q8—21no—
1031C2×Q8—21no—
1032C2×Q8—21no—
1033C2×Q8—21no—
1034C2×Q8—21no—
1035C2×Q8—21no—
1036C2×Q8—21no—
1037C2×Q8—21no—
1038C2×Q8—21no—
1039C2×Q8—41no—
1040C2×Q8—41no—
1041C2×Q8C22×D412yes—
1042C2×D4—22no—
1043C2×D4—22no—
1044C2×D4—22no—
1045C2×D4—22no—
1046C2×D4—22no—
1047C2×D4—22no—
1048C2×D4—22no—
1049C2×D4—21no—
1050C2×D4—21no—
1051C2×D4—21no—
1052C2×D4—21no—
1053C2×D4—21no—
1054C2×D4—21no—
1055C2×D4—21no—
1056C2×D4—21no—
1057C2×D4—21no—
1058C2×D4—21no—
1059C2×D4—21no—
1060C2×D4—21no—
1061C2×D4—21no—
1062C2×D4—21no—
1063C2×D4—21no—
1064C2×D4—21no—
1065C2×D4—21no—
1066C2×D4—21no—
1067C2×D4—21no—
1068C2×D4—21no—
1069C2×D4—21no—
1070C2×D4—21no—
1071C2×D4—21no—
1072C2×D4—21no—
1073C2×D4—21no—
1074C2×D4—21no—
1075C2×D4—21no—
1076C2×D4—21no—
1077C2×D4—21no—
1078C2×D4—21no—
1079C2×D4—41no—
1080C2×D4—41no—
1081C2×D4—41no—
1082C2×D4—41no—
1083C2×D4—41no—
1084C2×D4—41no—
1085C2×D4—41no—
1086C2×D4—41no—
1087C2×D4—41no—
1088C2×D4—41no—
1089C2×D4—41no—
1090C2×D4—41no—
1091C2×D4—41no—
1092C2×D4—41no—
1093C2×D4—42no—
1094C2×D4—42no—
1095C2×D4—42no—
1096C2×D4—42no—
1097C2×D4—42no—
1098C2×D4—42no—
1099C2×D4—42no—
1100C2×D4—42no—
1101C2×D4—42no—
1102C2×D4—42no—
1103C2×D4—42no—
1104C2×D4—42no—
1105C2×D4—42no—
1106C2×D4—42no—
1107C2×D4—42no—
1108C2×D4—42no—
1109C2×D4—42no—
1110C2×D4—42no—
1111C2×D4—42no—
1112C2×D4—42no—
1113C2×D4—42no—
1114C2×D4—42no—
1115C2×D4—42no—
1116C2×D4—42no—
1117C2×D4—42no—
1118C2×D4—42no—
1119C2×D4—42no—
1120C2×D4—42no—
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—42no—
1131C2×D4—42no—
1132C2×D4—42no—
1133C2×D4—42no—
1134C2×D4—42no—
1135C2×D4—82no—
1136C2×D4—82no—
1137C2×D4—82no—
1138C2×D4—82no—
1139C2×D4—81no—
1140C2×D4—81no—
1141C2×D4—81no—
1142C2×D4—81no—
1143C2×D4—81no—
1144C2×D4—81no—
1145C2×D4—81no—
1146C2×D4—81no—
1147C2×D4—81no—
1148C2×D4—81no—
1149C2×D4—81no—
1150C2×D4—81no—
1151C2×D4—81no—
1152C2×D4—81no—
1153C2×D4—81no—
1154C2×D4—81no—
1155C2×D4—81no—
1156C2×D4—81no—
1157C2×D4—81no—
1158C2×D4—81no—
1159C2×D4—81no—
1160C2×D4—81no—
1161C2×D4—81no—
1162C2×D4—81no—
1163C2×D4—81no—
1164C2×D4—81no—
1165C2×D4—81no—
1166C2×D4—81no—
1167C2×D4—81no—
1168C2×D4—81no—
1169C2×D4—81no—
1170C2×D4—81no—
1171C2×D4—81no—
1172C2×D4—81no—
1173C2×D4—81no—
1174C2×D4—81no—
1175C2×D4—81no—
1176C2×D4—81no—
1177C2×D4—81no—
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—81no—
1187C2×D4—816no—
1188C22×C4—21no—
1189C22×C4—21no—
1190C22×C4—21no—
1191C22×C4—21no—
1192C22×C4—21no—
1193C22×C4—21no—
1194C22×C4—21no—
1195C22×C4—21no—
1196C22×C4—21no—
1197C22×C4—21no—
1198C22×C4—22no—
1199C22×C4—24no—
1200C22×C4—21no—
1201C22×C4—21no—
1202C22×C4—21no—
1203C22×C4—21no—
1204C22×C4—21no—
1205C22×C4—21no—
1206C22×C4—21no—
1207C22×C4—21no—
1208C22×C4—21no—
1209C22×C4—21no—
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—21no—
1219C22×C4—21no—
1220C22×C4—21no—
1221C22×C4—21no—
1222C22×C4—21no—
1223C22×C4—21no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—21no—
1227C22×C4—21no—
1228C22×C4—21no—
1229C22×C4—21no—
1230C22×C4—21no—
1231C22×C4—41no—
1232C22×C4—41no—
1233C22×C4—41no—
1234C22×C4—41no—
1235C22×C4—41no—
1236C22×C4—41no—
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—82no—
1246C22×C4—82no—
1247C22×C4—82no—
1248C22×C4—82no—
1249C22×C4—81no—
1250C22×C4—81no—
1251C22×C4—81no—
1252C22×C4—81no—
1253C22×C4—81no—
1254C22×C4—81no—
1255C22×C4C22×D411yescharacteristic
1256C22×C4C22×D411yescharacteristic
1257C22×C4C22×D411yescharacteristic
1258C22×C4C22×D411yescharacteristic
1259C22×C4C22×D411yescharacteristic
1260C22×C4C22×D411yescharacteristic
1261C22×C4C22×D411yescharacteristic
1262C22×C4C22×D411yescharacteristic
1263C22×C4C22×D411yescharacteristic
1264C22×C4C22×D412yes—
1265C22×C4H(5,𝔽2)12yes—
1266C22×C4C2511yescharacteristic
1267Q16—82no—
1268SD16—82no—
1269SD16—82no—
1270SD16—82no—
1271SD16—82no—
1272SD16—82no—
1273D8—82no—
1274D8—82no—
1275D8—82no—
1276D8—82no—
1277D8—82no—
1278D8—82no—
1279M16—82no—
1280C2×C8—21no—
1281C2×C8—21no—
1282C2×C8—21no—
1283C2×C8—21no—
1284C2×C8—21no—
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—82no—
1303C2×C8—82no—
1304C2×C8—82no—
1305C2×C8C22×D412yes—
1306C2×C8C22×D412yes—
1307C4⋊C4—22no—
1308C4⋊C4—22no—
1309C4⋊C4—22no—
1310C4⋊C4—22no—
1311C4⋊C4—24no—
1312C4⋊C4—24no—
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—21no—
1325C4⋊C4—21no—
1326C4⋊C4—41no—
1327C4⋊C4—41no—
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—81no—
1337C4⋊C4C22×D412yes—
1338C4⋊C4C22×D412yes—
1339C4⋊C4C22×D412yes—
1340C4⋊C4H(5,𝔽2)12yes—
1341C4⋊C4H(5,𝔽2)12yes—
1342C22⋊C4—24no—
1343C22⋊C4—24no—
1344C22⋊C4—22no—
1345C22⋊C4—22no—
1346C22⋊C4—22no—
1347C22⋊C4—22no—
1348C22⋊C4—22no—
1349C22⋊C4—22no—
1350C22⋊C4—41no—
1351C22⋊C4—41no—
1352C22⋊C4—41no—
1353C22⋊C4—41no—
1354C22⋊C4—42no—
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—42no—
1375C22⋊C4—42no—
1376C22⋊C4—42no—
1377C22⋊C4—42no—
1378C22⋊C4—42no—
1379C22⋊C4—42no—
1380C22⋊C4—42no—
1381C22⋊C4—42no—
1382C22⋊C4—42no—
1383C22⋊C4—42no—
1384C22⋊C4—81no—
1385C22⋊C4—81no—
1386C22⋊C4—81no—
1387C22⋊C4—81no—
1388C22⋊C4—81no—
1389C22⋊C4—81no—
1390C22⋊C4—81no—
1391C22⋊C4—81no—
1392C22⋊C4—81no—
1393C22⋊C4—81no—
1394C42—24no—
1395C42—21no—
1396C42—21no—
1397C42—42no—
1398C42—42no—
1399C42—81no—
1400C42—81no—
1401C42—81no—
1402C42—81no—
1403C42—81no—
1404C42H(5,𝔽2)12yes—
1405C42H(5,𝔽2)12yes—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—44no—
1440C23—44no—
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—41no—
1460C23—41no—
1461C23—41no—
1462C23—41no—
1463C23—41no—
1464C23—41no—
1465C23—41no—
1466C23—41no—
1467C23—41no—
1468C23—41no—
1469C23—41no—
1470C23—41no—
1471C23—41no—
1472C23—41no—
1473C23—41no—
1474C23—41no—
1475C23—41no—
1476C23—82no—
1477C23—82no—
1478C23—82no—
1479C23—84no—
1480C23—84no—
1481C23—84no—
1482C23—82no—
1483C23—82no—
1484C23—162no—
1485C23—162no—
1486C23—162no—
1487C23—162no—
1488C23D4212yes—
1489C23#57612yes—
1490C23C23×D411yescharacteristic
1491Q8—22no—
1492Q8—22no—
1493Q8—41no—
1494Q8—41no—
1495Q8—41no—
1496Q8—41no—
1497Q8—41no—
1498Q8—41no—
1499Q8—82no—
1500D4—44no—
1501D4—41no—
1502D4—41no—
1503D4—41no—
1504D4—41no—
1505D4—41no—
1506D4—41no—
1507D4—41no—
1508D4—41no—
1509D4—41no—
1510D4—41no—
1511D4—41no—
1512D4—41no—
1513D4—41no—
1514D4—41no—
1515D4—41no—
1516D4—41no—
1517D4—41no—
1518D4—41no—
1519D4—41no—
1520D4—41no—
1521D4—82no—
1522D4—82no—
1523D4—84no—
1524D4—84no—
1525D4—82no—
1526D4—82no—
1527D4—82no—
1528D4—84no—
1529D4—84no—
1530D4—84no—
1531D4—84no—
1532D4—82no—
1533D4—84no—
1534D4—84no—
1535D4—84no—
1536D4—84no—
1537D4—84no—
1538D4—84no—
1539D4—84no—
1540D4—162no—
1541D4—162no—
1542D4—162no—
1543D4—162no—
1544D4—162no—
1545D4—162no—
1546D4—162no—
1547D4—162no—
1548D4—162no—
1549D4—162no—
1550D4—162no—
1551D4—162no—
1552D4—162no—
1553D4—162no—
1554D4—162no—
1555D4—162no—
1556D4—162no—
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—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—21no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—41no—
1592C2×C4—41no—
1593C2×C4—41no—
1594C2×C4—41no—
1595C2×C4—41no—
1596C2×C4—41no—
1597C2×C4—41no—
1598C2×C4—41no—
1599C2×C4—41no—
1600C2×C4—41no—
1601C2×C4—41no—
1602C2×C4—41no—
1603C2×C4—41no—
1604C2×C4—41no—
1605C2×C4—41no—
1606C2×C4—41no—
1607C2×C4—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—41no—
1631C2×C4—41no—
1632C2×C4—41no—
1633C2×C4—41no—
1634C2×C4—82no—
1635C2×C4—82no—
1636C2×C4—84no—
1637C2×C4—82no—
1638C2×C4—84no—
1639C2×C4—84no—
1640C2×C4—84no—
1641C2×C4—162no—
1642C2×C4#53412yes—
1643C2×C4#53412yes—
1644C2×C4D4212yes—
1645C2×C4C23×D411yescharacteristic
1646C2×C4C2×H(5,𝔽2)11yescharacteristic
1647C2×C4C2×H(5,𝔽2)11yescharacteristic
1648C2×C4C2×H(5,𝔽2)11yescharacteristic
1649C2×C4C2×H(5,𝔽2)11yescharacteristic
1650C2×C4C2×H(5,𝔽2)11yescharacteristic
1651C8—22no—
1652C8—22no—
1653C8—41no—
1654C8—41no—
1655C8—41no—
1656C8—41no—
1657C8—41no—
1658C8—41no—
1659C22—22no—
1660C22—22no—
1661C22—22no—
1662C22—22no—
1663C22—22no—
1664C22—22no—
1665C22—41no—
1666C22—41no—
1667C22—41no—
1668C22—41no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—41no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—88no—
1695C22—81no—
1696C22—81no—
1697C22—81no—
1698C22—81no—
1699C22—81no—
1700C22—81no—
1701C22—81no—
1702C22—81no—
1703C22—81no—
1704C22—81no—
1705C22—81no—
1706C22—81no—
1707C22—81no—
1708C22—81no—
1709C22—81no—
1710C22—81no—
1711C22—81no—
1712C22—81no—
1713C22—81no—
1714C22—81no—
1715C22—81no—
1716C22—81no—
1717C22—81no—
1718C22—81no—
1719C22—81no—
1720C22—81no—
1721C22—81no—
1722C22—81no—
1723C22—81no—
1724C22—81no—
1725C22—81no—
1726C22—81no—
1727C22—81no—
1728C22—81no—
1729C22—81no—
1730C22—168no—
1731C22C2×#53411yescharacteristic
1732C22C2×D4211yescharacteristic
1733C22#348411yescharacteristic
1734C22C2×#57611yescharacteristic
1735C22#358411yescharacteristic
1736C22#358411yescharacteristic
1737C22#358511yescharacteristic
1738C4—22no—
1739C4—22no—
1740C4—22no—
1741C4—41no—
1742C4—41no—
1743C4—42no—
1744C4—42no—
1745C4—42no—
1746C4—41no—
1747C4—41no—
1748C4—41no—
1749C4—41no—
1750C4—42no—
1751C4—42no—
1752C4—42no—
1753C4—81no—
1754C4—81no—
1755C4—81no—
1756C4—81no—
1757C4—81no—
1758C4#349811yescharacteristic
1759C4#349811yescharacteristic
1760C4#354311yescharacteristic
1761C4#354311yescharacteristic
1762C2—42no—
1763C2—42no—
1764C2—81no—
1765C2—81no—
1766C2—81no—
1767C2—161no—
1768C2—161no—
1769C2—161no—
1770C2—161no—
1771C2—161no—
1772C2#3933611yescharacteristic
1773C2#6076011yescharacteristic
1774C2#6076811yescharacteristic
1775C2#6105411yescharacteristic
1776C2#6107211yescharacteristic
1777C2#6162811yescharacteristic
1778C2#6163911yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C2×#525 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3203C2semidirect
2. C2×#3188C2semidirect
3. #37657C2semidirect
4. #35565C2semidirect
5. #33118C2semidirect
6. #30722C2semidirect
7. #30715C2semidirect
8. #30714C2semidirect
9. #30701C2semidirect
10. #30515C2semidirect
11. #30505C2semidirect
12. #30503C2semidirect
13. #30502C2semidirect
14. #29606C2semidirect
15. #29592C2semidirect
16. #28493C2semidirect
17. #28485C2semidirect
18. #26248C2semidirect
19. #26238C2semidirect
20. #25765C2semidirect
21. #25759C2semidirect
22. #25734C2semidirect
23. #25402C2semidirect
24. #25389C2semidirect
25. #24390C2semidirect
26. #24382C2semidirect
27. #24220C2semidirect
28. #23924C2semidirect
29. #23923C2semidirect
30. #22398C2semidirect
31. #21585C2semidirect
32. C2×#550C22semidirect
43. C2×#496C22semidirect
44. C2×#493C22semidirect
46. C2×#484C22semidirect
51. C2×#480C22semidirect
52. C2×#469C22semidirect
53. C2×#468C22semidirect
54. C2×#468C22semidirect
55. C2×#467C22semidirect
58. C2×#466C22semidirect
59. C2×#466C22semidirect
60. C2×#466C22semidirect
63. C2×#465C22semidirect
64. C2×#464C22semidirect
65. C2×#460C22semidirect
67. C2×#452C22semidirect
68. C2×#452C22semidirect
73. C2×#449C22semidirect
74. C2×#449C22semidirect
75. C2×#449C22semidirect
76. C2×#449C22semidirect
80. C2×#435C22semidirect
81. C2×C8×D4C22semidirect
97. #2541C22semidirect
106. #2536C22semidirect
113. #2416C22semidirect
114. #2414C22semidirect
115. #2407C22semidirect
116. #2407C22semidirect
117. #2352C22semidirect
120. #2042C22semidirect
121. #2041C22semidirect
122. #2036C22semidirect
123. #2035C22semidirect
124. #2035C22semidirect
125. #2034C22semidirect
126. #2034C22semidirect
127. #2034C22semidirect
128. #2034C22semidirect
133. #2033C22semidirect
134. #2015C22semidirect
135. #2014C22semidirect
136. #2012C22semidirect
137. #2012C22semidirect
138. #2011C22semidirect
139. #2011C22semidirect
140. #2001C22semidirect
141. #2000C22semidirect
142. #2000C22semidirect
143. #2000C22semidirect
144. #2000C22semidirect
145. #2000C22semidirect
146. #2000C22semidirect
147. #2000C22semidirect
152. #1999C22semidirect
153. #1999C22semidirect
154. #1999C22semidirect
155. #1999C22semidirect
156. #1999C22semidirect
157. #1999C22semidirect
158. #1999C22semidirect
159. #1999C22semidirect
160. #1983C22semidirect
161. #1982C22semidirect
162. #1982C22semidirect
163. #1982C22semidirect
164. #1961C22semidirect
165. #1958C22semidirect
166. #1955C22semidirect
167. #1954C22semidirect
168. #1949C22semidirect
169. #1949C22semidirect
170. #1928C22semidirect
171. #1927C22semidirect
172. #1926C22semidirect
173. #1926C22semidirect
174. #1925C22semidirect
175. #1925C22semidirect
176. #1921C22semidirect
177. #1918C22semidirect
178. #1895C22semidirect
179. #1893C22semidirect
180. #1893C22semidirect
181. #1892C22semidirect
184. #1875C22semidirect
185. #1874C22semidirect
186. #1874C22semidirect
188. #1873C22semidirect
189. #1870C22semidirect
190. #1869C22semidirect
191. #1869C22semidirect
192. #1869C22semidirect
200. #1776C22semidirect
201. C4×#107C22semidirect
202. #1763C22semidirect
203. C4×#103C22semidirect
337. #484D4semidirect

Maximal subgroups

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

subgroupindex
C2×#32032
C2×#31882
#376572
#355652
#331182
#307222
#307152
#307142
#307012
#305152
#305052
#305032
#305022
#296062
#295922
#284932
#284852
#262482
#262382
#257652
#257592
#257342
#254022
#253892
#243902
#243822
#242202
#239242
#239232
#223982
#215852