Finite Group Databasebeta

← #6816046

Subgroups — #6816046

Order 512.

2447 conjugacy classes of subgroups.

The subgroup lattice has 1741 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3198C211yesmaximal, characteristic, complemented
2C2×#3188C211yesmaximal, characteristic, complemented
3#37657C211yesmaximal, characteristic, complemented
4#37650C211yesmaximal, characteristic, complemented
5#33179C211yesmaximal, characteristic, complemented
6#31207C211yesmaximal, characteristic, complemented
7#31204C211yesmaximal, characteristic, complemented
8#31063C211yesmaximal, characteristic, complemented
9#31063C211yesmaximal, characteristic, complemented
10#31021C211yesmaximal, characteristic, complemented
11#31020C211yesmaximal, characteristic, complemented
12#31017C211yesmaximal, characteristic, complemented
13#31016C211yesmaximal, characteristic, complemented
14#29738C211yesmaximal, characteristic, complemented
15#29730C211yesmaximal, characteristic, complemented
16#26246C211yesmaximal, characteristic, complemented
17#26246C211yesmaximal, characteristic, complemented
18#25759C211yesmaximal, characteristic, complemented
19#25757C211yesmaximal, characteristic, complemented
20#25020C211yesmaximal, characteristic, complemented
21#25019C211yesmaximal, characteristic, complemented
22#24768C211yesmaximal, characteristic, complemented
23#24762C211yesmaximal, characteristic, complemented
24#24397C211yesmaximal, characteristic, complemented
25#24390C211yesmaximal, characteristic, complemented
26#24388C211yesmaximal, characteristic, complemented
27#24384C211yesmaximal, characteristic, complemented
28#24252C211yesmaximal, characteristic, complemented
29#24250C211yesmaximal, characteristic, complemented
30#21531C211yesmaximal, characteristic, complemented
31#21191C211yesmaximal, characteristic, complemented
32C2×#550C2211yescharacteristic, complemented
33C2×D42C2211yescharacteristic
34C2×#537C2211yescharacteristic, complemented
35C2×#535C2211yescharacteristic
36C2×#525C2211yescharacteristic
37C2×#525C2211yescharacteristic, complemented
38C22×#121C2211yescharacteristic
39#3198—28no—
40#3188—28no—
41C2×#493C2211yescharacteristic, complemented
42C2×#484C2211yescharacteristic, complemented
43C2×#481C2211yescharacteristic, complemented
44C2×#481C2211yescharacteristic, complemented
45C2×#485C2211yescharacteristic, complemented
46C2×#482C2211yescharacteristic
47C2×#482C2211yescharacteristic, complemented
48C2×#482C2211yescharacteristic, complemented
49C2×#480C2211yescharacteristic, complemented
50C2×#469C2211yescharacteristic
51C2×#469C2211yescharacteristic, complemented
52C2×#469C2211yescharacteristic, complemented
53C2×#468C2211yescharacteristic, complemented
54C2×#466C2211yescharacteristic
55C2×#466C2211yescharacteristic, complemented
56C2×#466C2211yescharacteristic, complemented
57C2×#465C2211yescharacteristic
58C2×#465C2211yescharacteristic, complemented
59C2×#460C2211yescharacteristic, complemented
60C2×#459C2211yescharacteristic, complemented
61C2×#449C2211yescharacteristic
62C2×#449C2211yescharacteristic, complemented
63C2×#449C2211yescharacteristic, complemented
64C2×#449C2211yescharacteristic, complemented
65C2×#449C2211yescharacteristic, complemented
66C2×#449C2211yescharacteristic, complemented
67C2×#450C2211yescharacteristic
68C2×#450C2211yescharacteristic, complemented
69C2×#447C2211yescharacteristic
70C2×#447C2211yescharacteristic
71C2×#447C2211yescharacteristic, complemented
72C2×#447C2211yescharacteristic, complemented
73C2×#440C2211yescharacteristic, complemented
74C2×#424C2211yescharacteristic, complemented
75C2×#408C2211yescharacteristic, complemented
76C2×#408C2211yescharacteristic, complemented
77C2×#407C2211yescharacteristic, complemented
78C22×C22⋊C8C2211yescharacteristic, complemented
79C2×#405C2211yescharacteristic, complemented
80#2847C2211yescharacteristic
81#2847C2211yescharacteristic, complemented
82#2681—21no—
83#2678—21no—
84#2676—21no—
85#2673—21no—
86#2673—21no—
87#2669—21no—
88#2669—21no—
89#2669—21no—
90#2619C2211yescharacteristic
91#2619C2211yescharacteristic, complemented
92#2615C2211yescharacteristic
93#2615C2211yescharacteristic, complemented
94#2541C2211yescharacteristic
95#2541C2211yescharacteristic
96#2536C2211yescharacteristic
97#2535C2211yescharacteristic
98#2472—21no—
99#2464—21no—
100#2463—21no—
101#2456—21no—
102#2433—21no—
103#2428—21no—
104#2416C2211yescharacteristic
105#2416C2211yescharacteristic, complemented
106#2414C2211yescharacteristic
107#2414C2211yescharacteristic, complemented
108#2410—21no—
109#2408C2211yescharacteristic
110#2408C2211yescharacteristic
111#2407C2211yescharacteristic, complemented
112#2407C2211yescharacteristic, complemented
113#2403—21no—
114#2352C2211yescharacteristic
115#2352C2211yescharacteristic, complemented
116#2324C2211yescharacteristic
117#2323C2211yescharacteristic, complemented
118#2076C2211yescharacteristic, complemented
119#2076C2211yescharacteristic, complemented
120#2075C2211yescharacteristic, complemented
121#2075C2211yescharacteristic, complemented
122#2067C2211yescharacteristic, complemented
123#2067C2211yescharacteristic, complemented
124#2065C2211yescharacteristic, complemented
125#2065C2211yescharacteristic, complemented
126#2055C2211yescharacteristic, complemented
127#2055C2211yescharacteristic, complemented
128#2054C2211yescharacteristic, complemented
129#2054C2211yescharacteristic, complemented
130#2035C2211yescharacteristic, complemented
131#2035C2211yescharacteristic, complemented
132#2034C2211yescharacteristic
133#2034C2211yescharacteristic, complemented
134#2034C2211yescharacteristic, complemented
135#2034C2211yescharacteristic, complemented
136#2033C2211yescharacteristic
137#2033C2211yescharacteristic, complemented
138#2033C2211yescharacteristic, complemented
139#2033C2211yescharacteristic, complemented
140#2033C2211yescharacteristic, complemented
141#2033C2211yescharacteristic, complemented
142#2033C2211yescharacteristic, complemented
143#2033C2211yescharacteristic, complemented
144#2033C2211yescharacteristic, complemented
145#2033C2211yescharacteristic, complemented
146#2000C2211yescharacteristic
147#2000C2211yescharacteristic, complemented
148#1999C2211yescharacteristic
149#1999C2211yescharacteristic
150#1999C2211yescharacteristic
151#1999C2211yescharacteristic, complemented
152#1999C2211yescharacteristic, complemented
153#1999C2211yescharacteristic, complemented
154#1999C2211yescharacteristic, complemented
155#1999C2211yescharacteristic, complemented
156#1999C2211yescharacteristic, complemented
157#1999C2211yescharacteristic, complemented
158#1982C2211yescharacteristic, complemented
159#1982C2211yescharacteristic, complemented
160#1973C2211yescharacteristic, complemented
161#1972C2211yescharacteristic, complemented
162#1972C2211yescharacteristic, complemented
163#1970C2211yescharacteristic, complemented
164#1970C2211yescharacteristic, complemented
165#1961C2211yescharacteristic, complemented
166#1961C2211yescharacteristic, complemented
167#1955C2211yescharacteristic
168#1955C2211yescharacteristic, complemented
169#1955C2211yescharacteristic, complemented
170#1955C2211yescharacteristic, complemented
171#1954C2211yescharacteristic
172#1954C2211yescharacteristic, complemented
173#1954C2211yescharacteristic, complemented
174#1954C2211yescharacteristic, complemented
175#1949C2211yescharacteristic, complemented
176#1949C2211yescharacteristic, complemented
177#1944C2211yescharacteristic, complemented
178#1934C2211yescharacteristic, complemented
179#1933C2211yescharacteristic, complemented
180#1895C2211yescharacteristic
181#1895C2211yescharacteristic, complemented
182#1895C2211yescharacteristic, complemented
183#1894C2211yescharacteristic, complemented
184#1893C2211yescharacteristic, complemented
185#1893C2211yescharacteristic, complemented
186#1875C2211yescharacteristic, complemented
187#1875C2211yescharacteristic, complemented
188#1874C2211yescharacteristic, complemented
189#1874C2211yescharacteristic, complemented
190#1854C2211yescharacteristic, complemented
191#1854C2211yescharacteristic, complemented
192#1853C2211yescharacteristic, complemented
193#1853C2211yescharacteristic, complemented
194#1846C2211yescharacteristic, complemented
195#1808C2211yescharacteristic, complemented
196#1805C2211yescharacteristic, complemented
197#1804C2211yescharacteristic, complemented
198#1788C2211yescharacteristic, complemented
199#1788C2211yescharacteristic, complemented
200#1786C2211yescharacteristic
201#1786C2211yescharacteristic, complemented
202#1776C2211yescharacteristic, complemented
203C4×#103C2211yescharacteristic, complemented
204C4×#102C2211yescharacteristic, complemented
205C22×#41C2311yescharacteristic
206C22×#41C2311yescharacteristic
207C22×#41C2311yescharacteristic
208C23×D4—21no—
209C23×D4—21no—
210C23×D4C2311yescharacteristic
211C23×D4C2311yescharacteristic
212C24×C4C2311yescharacteristic
213C22×SD16C2311yescharacteristic
214C22×SD16C2311yescharacteristic
215C22×SD16C2311yescharacteristic
216C22×D8C2311yescharacteristic
217C22×D8C2311yescharacteristic
218C22×D8C2311yescharacteristic
219C22×D8C2311yescharacteristic
220C22×D8C2311yescharacteristic
221C22×D8C2311yescharacteristic
222C22×M16C2311yescharacteristic
223C22×M16C2311yescharacteristic
224C23×C8C2311yescharacteristic
225C23×C8C2311yescharacteristic
226#550—42no—
227#550—42no—
228D42—42no—
229D42—42no—
230#537—24no—
231#537—42no—
232#535—24no—
233#535—42no—
234C2×#127—21no—
235C2×#127—21no—
236C2×#127—21no—
237C2×#127—21no—
238C2×#127C2311yescharacteristic
239C2×#127C2311yescharacteristic
240C2×#124—21no—
241#525—24no—
242#525—42no—
243#525—42no—
244#525—42no—
245C2×#123—21no—
246C2×#123D411yescharacteristic
247C2×#123D411yescharacteristic
248C2×C22⋊Q8—21no—
249C2×C22⋊Q8D411yescharacteristic
250C2×C22⋊Q8D411yescharacteristic
251C2×C22⋊Q8C2311yescharacteristic
252C2×C22⋊Q8C2311yescharacteristic
253C2×C22⋊Q8C2311yescharacteristic
254C2×#121—21no—
255C2×#121—21no—
256C2×#121—21no—
257C2×#121—21no—
258C2×#121—21no—
259C2×#121—21no—
260C2×#121—21no—
261C2×#121—21no—
262C2×#121—21no—
263C2×#121—21no—
264C2×#121—24no—
265C2×#121—42no—
266C2×#121D411yescharacteristic
267C2×#121D411yescharacteristic
268C2×#121C2311yescharacteristic
269C2×#121C2311yescharacteristic
270C2×#121C2311yescharacteristic
271C2×#121C2311yescharacteristic
272C2×#121C2311yescharacteristic
273C2×#121C2311yescharacteristic
274C2×#121C2311yescharacteristic
275C2×#121C2311yescharacteristic
276C2×#121C2311yescharacteristic
277C2×#121C2311yescharacteristic
278C2×#121C2311yescharacteristic
279C2×#121C2311yescharacteristic
280C2×#121C2311yescharacteristic
281C2×#121C2311yescharacteristic
282C2×#121C2311yescharacteristic
283C2×#121C2311yescharacteristic
284C2×#121C2311yescharacteristic
285C2×#121C2311yescharacteristic
286C2×#121C2311yescharacteristic
287C2×#120—21no—
288C2×#120—21no—
289C2×#120—21no—
290C2×#120—21no—
291C2×#120—21no—
292C2×#120—21no—
293C2×#120—21no—
294C2×#120—21no—
295C2×#120—21no—
296C2×#120D411yescharacteristic
297C2×#120D411yescharacteristic
298C2×C4×Q8C2311yescharacteristic
299C2×C4×D4—21no—
300C2×C4×D4—21no—
301C2×C4×D4—21no—
302C2×C4×D4C2311yescharacteristic
303C2×C4×D4C2311yescharacteristic
304C2×C4×D4C2311yescharacteristic
305C2×C4×D4C2311yescharacteristic
306C2×C4×D4C2311yescharacteristic
307C2×#117C2311yescharacteristic
308C2×#117C2311yescharacteristic
309C2×#117C2311yescharacteristic
310C22×C4⋊C4C2311yescharacteristic
311C22×C4⋊C4C2311yescharacteristic
312C22×C22⋊C4—21no—
313#493—42no—
314#485—24no—
315#484—24no—
316#482—24no—
317#482—24no—
318#482—24no—
319#481—24no—
320#481—24no—
321#480—24no—
322#469—24no—
323#469—42no—
324#469—42no—
325#468—24no—
326#466—24no—
327#466—24no—
328#466—24no—
329#465—24no—
330#465D418yescomplemented
331#460—42no—
332#459—42no—
333#450—24no—
334#450—24no—
335#449—24no—
336#449—24no—
337#449—24no—
338#449—24no—
339#449—42no—
340#449—42no—
341#447—24no—
342#447—24no—
343#447—42no—
344#447—42no—
345#440—42no—
346C2×#107C2311yescharacteristic
347C2×#107C2311yescharacteristic
348C2×#107C2311yescharacteristic
349C2×#107C2311yescharacteristic
350C2×#107C2311yescharacteristic
351C2×#107C2311yescharacteristic
352C2×#106C2311yescharacteristic
353C2×#106C2311yescharacteristic
354C2×#106C2311yescharacteristic
355C2×#106C2311yescharacteristic
356C2×#106C2311yescharacteristic
357#424—42no—
358C2×C4⋊C8C2311yescharacteristic
359C2×C4⋊C8C2311yescharacteristic
360C2×C4⋊C8C2311yescharacteristic
361C2×C4⋊C8C2311yescharacteristic
362C2×#103C2311yescharacteristic
363C2×#103C2311yescharacteristic
364C2×#103C2311yescharacteristic
365C2×#103C2311yescharacteristic
366C2×#103C2311yescharacteristic
367C2×#102C2311yescharacteristic
368C2×#102C2311yescharacteristic
369C2×#102C2311yescharacteristic
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
392#408—24no—
393#408—42no—
394#407—42no—
395C2×C22⋊C8—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×C22⋊C8C2311yescharacteristic
407C2×C22⋊C8C2311yescharacteristic
408C2×C22⋊C8C2311yescharacteristic
409C2×C22⋊C8C2311yescharacteristic
410C2×C22⋊C8C2311yescharacteristic
411C2×C22⋊C8C2311yescharacteristic
412#405—42no—
413C2×#97C2311yescharacteristic
414C2×#97C2311yescharacteristic
415C2×C4×C8C2311yescharacteristic
416C2×C4×C8C2311yescharacteristic
417#398—21no—
418#397—21no—
419#396—21no—
420#396—21no—
421#394—21no—
422#394—21no—
423#394—21no—
424#394—21no—
425#394—21no—
426#394—21no—
427#394—21no—
428#394—21no—
429#394—21no—
430#394—21no—
431#394—21no—
432#394—21no—
433#394—21no—
434#393—21no—
435#393—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#392—21no—
447#392—21no—
448#392—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#391C2311yescharacteristic
458#390—21no—
459#390—21no—
460#390—21no—
461#390—21no—
462#390—21no—
463#390C2311yescharacteristic
464#390C2311yescharacteristic
465#390C2311yescharacteristic
466#390C2311yescharacteristic
467#390C2311yescharacteristic
468#389—21no—
469#389C2311yescharacteristic
470#389C2311yescharacteristic
471#388—21no—
472#388—21no—
473#388—21no—
474#388—21no—
475#388—21no—
476#388—21no—
477#388—21no—
478#388—21no—
479#388—21no—
480#387—21no—
481#387—21no—
482#387—21no—
483#386—21no—
484#386—21no—
485#386—21no—
486#386—21no—
487#386—21no—
488#386—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#385—21no—
499#385—21no—
500#385—21no—
501#382C2311yescharacteristic
502#382C2311yescharacteristic
503#380C2311yescharacteristic
504#380C2311yescharacteristic
505#380C2311yescharacteristic
506#380C2311yescharacteristic
507#380C2311yescharacteristic
508#380C2311yescharacteristic
509#380C2311yescharacteristic
510#380C2311yescharacteristic
511#380C2311yescharacteristic
512#380C2311yescharacteristic
513#379—21no—
514#379—21no—
515C4×C4⋊C4C2311yescharacteristic
516C4×C4⋊C4C2311yescharacteristic
517C4×C22⋊C4—21no—
518C4×C22⋊C4—21no—
519#340C2311yescharacteristic
520#340C2311yescharacteristic
521#340C2311yescharacteristic
522#340C2311yescharacteristic
523#340C2311yescharacteristic
524#340C2311yescharacteristic
525#340C2311yescharacteristic
526#340C2311yescharacteristic
527#340C2311yescharacteristic
528#340C2311yescharacteristic
529#340C2311yescharacteristic
530#340C2311yescharacteristic
531#340C2311yescharacteristic
532#340C2311yescharacteristic
533C25—21no—
534C25—21no—
535C25C2×D411yescharacteristic
536C2×#41—22no—
537C2×#41—22no—
538C2×#41—22no—
539C2×#41—22no—
540C2×#41—41no—
541C2×#41—41no—
542C2×#41—41no—
543C2×#41—41no—
544C2×#41—41no—
545C2×#41—41no—
546C2×#41—41no—
547C2×#41—41no—
548C2×#41—41no—
549C2×#41—41no—
550C2×#41—41no—
551C2×#41—41no—
552C2×#41—41no—
553C2×#41—41no—
554C22×Q8C2×D411yescharacteristic
555C22×Q8C2411yescharacteristic
556C22×D4—21no—
557C22×D4—22no—
558C22×D4—22no—
559C22×D4—21no—
560C22×D4—21no—
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—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—41no—
586C22×D4—41no—
587C22×D4—41no—
588C22×D4—41no—
589C22×D4—41no—
590C22×D4—41no—
591C22×D4—41no—
592C22×D4—41no—
593C22×D4—41no—
594C22×D4—41no—
595C22×D4—44no—
596C22×D4—44no—
597C22×D4—82no—
598C22×D4—82no—
599C22×D4—82no—
600C22×D4—82no—
601C22×D4C2×D411yescharacteristic
602C22×D4C2×D411yescharacteristic
603C22×D4C2×D411yescharacteristic
604C22×D4C2×D411yescharacteristic
605C22×D4C2×D411yescharacteristic
606C22×D4C2×D411yescharacteristic
607C22×D4C2×D411yescharacteristic
608C22×D4C2411yescharacteristic
609C22×D4C2411yescharacteristic
610C22×D4C2411yescharacteristic
611C22×D4C2411yescharacteristic
612C22×D4C2411yescharacteristic
613C23×C4—22no—
614C23×C4—22no—
615C23×C4—21no—
616C23×C4—21no—
617C23×C4—21no—
618C23×C4—21no—
619C23×C4—21no—
620C23×C4—41no—
621C23×C4—41no—
622C23×C4—41no—
623C23×C4—41no—
624C23×C4C2×D411yescharacteristic
625C23×C4C2×D411yescharacteristic
626C23×C4C2×D411yescharacteristic
627C23×C4C2411yescharacteristic
628C23×C4C2411yescharacteristic
629C23×C4C2411yescharacteristic
630C23×C4C2411yescharacteristic
631C23×C4C2411yescharacteristic
632C2×SD16—22no—
633C2×SD16—22no—
634C2×SD16—41no—
635C2×SD16—41no—
636C2×SD16—41no—
637C2×SD16—41no—
638C2×SD16—41no—
639C2×SD16—41no—
640C2×SD16C2×D414yes—
641C2×D8—22no—
642C2×D8—22no—
643C2×D8—22no—
644C2×D8—22no—
645C2×D8—22no—
646C2×D8—22no—
647C2×D8—41no—
648C2×D8—41no—
649C2×D8—41no—
650C2×D8—41no—
651C2×D8—41no—
652C2×D8—41no—
653C2×D8—41no—
654C2×D8—41no—
655C2×D8—41no—
656C2×D8—41no—
657C2×D8—41no—
658C2×D8—41no—
659C2×M16—22no—
660C2×M16—22no—
661C2×M16—22no—
662C2×M16—41no—
663C2×M16—41no—
664C2×M16—41no—
665C22×C8—22no—
666C22×C8—41no—
667C22×C8—41no—
668C22×C8—41no—
669C22×C8—41no—
670C22×C8C2×D414yescomplemented
671C22×C8C2411yescharacteristic
672C22×C8C2411yescharacteristic
673C22×C8C2411yescharacteristic
674C22×C8C2411yescharacteristic
675C22×C8C2411yescharacteristic
676C22×C8C2411yescharacteristic
677C22×C8C2411yescharacteristic
678C22×C8C2411yescharacteristic
679#127—22no—
680#127—22no—
681#127—22no—
682#127—22no—
683#127—44no—
684#127—44no—
685#127—82no—
686#127—82no—
687#124—44no—
688#123—42no—
689#123—42no—
690#123—44no—
691C22⋊Q8—22no—
692C22⋊Q8—22no—
693C22⋊Q8—22no—
694C22⋊Q8—42no—
695C22⋊Q8—42no—
696C22⋊Q8—41no—
697C22⋊Q8—41no—
698C22⋊Q8—44no—
699C22⋊Q8C2×D414yescomplemented
700#121—22no—
701#121—22no—
702#121—22no—
703#121—22no—
704#121—22no—
705#121—22no—
706#121—22no—
707#121—22no—
708#121—22no—
709#121—22no—
710#121—22no—
711#121—22no—
712#121—22no—
713#121—22no—
714#121—22no—
715#121—42no—
716#121—42no—
717#121—44no—
718#121—44no—
719#121—44no—
720#121—44no—
721#121—44no—
722#121—41no—
723#121—41no—
724#121—41no—
725#121—41no—
726#121—41no—
727#121—41no—
728#121—41no—
729#121—41no—
730#121—41no—
731#121—41no—
732#121—41no—
733#121—41no—
734#121—41no—
735#121—41no—
736#121—44no—
737#121—44no—
738#121—44no—
739#121—41no—
740#121—41no—
741#121—41no—
742#121—41no—
743#121—41no—
744#121—41no—
745#121—41no—
746#121—41no—
747#121—82no—
748#121—82no—
749#121C2×D414yes—
750#120—42no—
751#120—42no—
752#120—44no—
753#120—44no—
754#120—44no—
755#120—44no—
756#120—44no—
757#120—82no—
758#120—82no—
759#120—82no—
760#120—82no—
761C4×Q8—22no—
762C4×Q8—22no—
763C4×D4—22no—
764C4×D4—22no—
765C4×D4—22no—
766C4×D4—22no—
767C4×D4—22no—
768C4×D4—22no—
769C4×D4—41no—
770C4×D4—41no—
771C4×D4—41no—
772C4×D4—41no—
773C4×D4—44no—
774C4×D4—44no—
775C4×D4—44no—
776#117—22no—
777#117—22no—
778#117—22no—
779#117—22no—
780#117—41no—
781#117—41no—
782C2×C4⋊C4—21no—
783C2×C4⋊C4—22no—
784C2×C4⋊C4—22no—
785C2×C4⋊C4—21no—
786C2×C4⋊C4—21no—
787C2×C4⋊C4—21no—
788C2×C4⋊C4—21no—
789C2×C4⋊C4—21no—
790C2×C4⋊C4—21no—
791C2×C4⋊C4—21no—
792C2×C4⋊C4—41no—
793C2×C4⋊C4—41no—
794C2×C4⋊C4C2×D411yescharacteristic
795C2×C4⋊C4C2×D411yescharacteristic
796C2×C4⋊C4C2×D411yescharacteristic
797C2×C4⋊C4C2×D411yescharacteristic
798C2×C4⋊C4C2×D411yescharacteristic
799C2×C4⋊C4C2×D411yescharacteristic
800C2×C4⋊C4C2411yescharacteristic
801C2×C4⋊C4C2411yescharacteristic
802C2×C4⋊C4C2411yescharacteristic
803C2×C4⋊C4C2411yescharacteristic
804C2×C4⋊C4C2411yescharacteristic
805C2×C4⋊C4C2411yescharacteristic
806C2×C4⋊C4C2411yescharacteristic
807C2×C4⋊C4C2411yescharacteristic
808C2×C4⋊C4C2411yescharacteristic
809C2×C4⋊C4C2411yescharacteristic
810C2×C22⋊C4—21no—
811C2×C22⋊C4—21no—
812C2×C22⋊C4—21no—
813C2×C22⋊C4—21no—
814C2×C22⋊C4—21no—
815C2×C22⋊C4—21no—
816C2×C22⋊C4—21no—
817C2×C22⋊C4—21no—
818C2×C22⋊C4—21no—
819C2×C22⋊C4—21no—
820C2×C22⋊C4—21no—
821C2×C22⋊C4—21no—
822C2×C22⋊C4—21no—
823C2×C22⋊C4—21no—
824C2×C22⋊C4—21no—
825C2×C22⋊C4—21no—
826C2×C22⋊C4—21no—
827C2×C22⋊C4—21no—
828C2×C22⋊C4—21no—
829C2×C22⋊C4—21no—
830C2×C22⋊C4—21no—
831C2×C22⋊C4—21no—
832C2×C22⋊C4—21no—
833C2×C22⋊C4—21no—
834C2×C22⋊C4—21no—
835C2×C22⋊C4—21no—
836C2×C22⋊C4—21no—
837C2×C22⋊C4—21no—
838C2×C22⋊C4—21no—
839C2×C22⋊C4—21no—
840C2×C22⋊C4—21no—
841C2×C22⋊C4—21no—
842C2×C22⋊C4—21no—
843C2×C22⋊C4—21no—
844C2×C22⋊C4—21no—
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—44no—
856C2×C22⋊C4C2×D411yescharacteristic
857C2×C22⋊C4C2×D411yescharacteristic
858C2×C22⋊C4C2×D411yescharacteristic
859C2×C22⋊C4C2×D411yescharacteristic
860C2×C22⋊C4C2×D411yescharacteristic
861C2×C22⋊C4C2×D411yescharacteristic
862C2×C22⋊C4C2×D411yescharacteristic
863C2×C22⋊C4C2×D411yescharacteristic
864C2×C22⋊C4C2×D411yescharacteristic
865C2×C22⋊C4C2×D411yescharacteristic
866C2×C42—21no—
867C2×C42—21no—
868C2×C42—21no—
869C2×C42—21no—
870C2×C42—21no—
871C2×C42C2411yescharacteristic
872C2×C42C2411yescharacteristic
873#107—22no—
874#107—22no—
875#107—22no—
876#107—22no—
877#107—41no—
878#107—41no—
879#106—22no—
880#106—22no—
881#106—41no—
882#106—41no—
883#106C2×D414yescomplemented
884C4⋊C8—22no—
885C4⋊C8—22no—
886C4⋊C8—41no—
887C4⋊C8—41no—
888#103—22no—
889#103—22no—
890#103—22no—
891#103—41no—
892#103C2×D414yescomplemented
893#102—22no—
894#102—22no—
895#102—22no—
896#102—22no—
897#102—22no—
898#102—22no—
899#102—22no—
900#102—22no—
901#102—22no—
902#102—22no—
903#102—22no—
904#102—41no—
905#102—41no—
906#102—41no—
907#102—41no—
908#102—41no—
909#102—41no—
910#102—41no—
911#102—41no—
912#102—41no—
913#102—41no—
914#102—41no—
915#102—41no—
916#102—41no—
917#102C2×D414yes—
918C22⋊C8—22no—
919C22⋊C8—22no—
920C22⋊C8—22no—
921C22⋊C8—22no—
922C22⋊C8—22no—
923C22⋊C8—22no—
924C22⋊C8—22no—
925C22⋊C8—22no—
926C22⋊C8—22no—
927C22⋊C8—22no—
928C22⋊C8—22no—
929C22⋊C8—22no—
930C22⋊C8—41no—
931C22⋊C8—41no—
932C22⋊C8—41no—
933C22⋊C8—41no—
934#97—22no—
935#97—41no—
936C4×C8—22no—
937C4×C8—41no—
938#95—21no—
939#95—21no—
940#95—21no—
941#95—21no—
942#95—21no—
943#95—21no—
944#95—21no—
945#95—21no—
946#95—21no—
947#95—21no—
948#95—21no—
949#95—21no—
950#95—21no—
951#95—21no—
952#95—21no—
953#95—21no—
954#95—21no—
955#95—21no—
956#95—21no—
957#95—21no—
958C24—21no—
959C24—22no—
960C24—22no—
961C24—21no—
962C24—21no—
963C24—21no—
964C24—21no—
965C24—41no—
966C24—41no—
967C24—41no—
968C24—41no—
969C24—41no—
970C24—42no—
971C24—42no—
972C24—42no—
973C24—42no—
974C24—42no—
975C24—42no—
976C24—81no—
977C24—81no—
978C24—81no—
979C24—81no—
980C24—81no—
981C24—81no—
982C24—81no—
983C24—81no—
984C24C22×D411yescharacteristic
985C24C22×D411yescharacteristic
986C24C22×D411yescharacteristic
987C24C22×D411yescharacteristic
988C24C22×D411yescharacteristic
989#41—82no—
990#41—82no—
991#41—82no—
992#41—82no—
993#41—82no—
994#41—82no—
995#41—82no—
996#41—82no—
997#41—82no—
998#41—82no—
999#41—82no—
1000#41—82no—
1001C2×Q8—22no—
1002C2×Q8—21no—
1003C2×Q8—21no—
1004C2×Q8—21no—
1005C2×Q8—21no—
1006C2×Q8—21no—
1007C2×Q8—41no—
1008C2×Q8—41no—
1009C2×Q8C22×D412yes—
1010C2×D4—22no—
1011C2×D4—22no—
1012C2×D4—24no—
1013C2×D4—22no—
1014C2×D4—22no—
1015C2×D4—22no—
1016C2×D4—22no—
1017C2×D4—22no—
1018C2×D4—21no—
1019C2×D4—21no—
1020C2×D4—21no—
1021C2×D4—21no—
1022C2×D4—21no—
1023C2×D4—21no—
1024C2×D4—21no—
1025C2×D4—21no—
1026C2×D4—21no—
1027C2×D4—21no—
1028C2×D4—21no—
1029C2×D4—21no—
1030C2×D4—21no—
1031C2×D4—21no—
1032C2×D4—21no—
1033C2×D4—21no—
1034C2×D4—21no—
1035C2×D4—21no—
1036C2×D4—21no—
1037C2×D4—21no—
1038C2×D4—21no—
1039C2×D4—21no—
1040C2×D4—21no—
1041C2×D4—21no—
1042C2×D4—21no—
1043C2×D4—21no—
1044C2×D4—21no—
1045C2×D4—21no—
1046C2×D4—21no—
1047C2×D4—41no—
1048C2×D4—41no—
1049C2×D4—41no—
1050C2×D4—41no—
1051C2×D4—41no—
1052C2×D4—41no—
1053C2×D4—41no—
1054C2×D4—41no—
1055C2×D4—41no—
1056C2×D4—41no—
1057C2×D4—41no—
1058C2×D4—41no—
1059C2×D4—41no—
1060C2×D4—41no—
1061C2×D4—42no—
1062C2×D4—42no—
1063C2×D4—42no—
1064C2×D4—42no—
1065C2×D4—42no—
1066C2×D4—42no—
1067C2×D4—42no—
1068C2×D4—42no—
1069C2×D4—42no—
1070C2×D4—42no—
1071C2×D4—42no—
1072C2×D4—42no—
1073C2×D4—42no—
1074C2×D4—42no—
1075C2×D4—42no—
1076C2×D4—42no—
1077C2×D4—42no—
1078C2×D4—42no—
1079C2×D4—42no—
1080C2×D4—42no—
1081C2×D4—42no—
1082C2×D4—42no—
1083C2×D4—42no—
1084C2×D4—42no—
1085C2×D4—42no—
1086C2×D4—42no—
1087C2×D4—42no—
1088C2×D4—42no—
1089C2×D4—42no—
1090C2×D4—42no—
1091C2×D4—42no—
1092C2×D4—42no—
1093C2×D4—42no—
1094C2×D4—81no—
1095C2×D4—81no—
1096C2×D4—81no—
1097C2×D4—81no—
1098C2×D4—81no—
1099C2×D4—81no—
1100C2×D4—81no—
1101C2×D4—81no—
1102C2×D4—81no—
1103C2×D4—81no—
1104C2×D4—82no—
1105C2×D4—82no—
1106C2×D4—82no—
1107C2×D4—82no—
1108C2×D4—82no—
1109C2×D4—82no—
1110C2×D4—82no—
1111C2×D4—82no—
1112C2×D4—81no—
1113C2×D4—81no—
1114C2×D4—81no—
1115C2×D4—81no—
1116C2×D4—81no—
1117C2×D4—81no—
1118C2×D4—81no—
1119C2×D4—81no—
1120C2×D4—81no—
1121C2×D4—81no—
1122C2×D4—81no—
1123C2×D4—81no—
1124C2×D4—81no—
1125C2×D4—81no—
1126C2×D4—81no—
1127C2×D4—81no—
1128C2×D4—81no—
1129C2×D4—81no—
1130C2×D4—81no—
1131C2×D4—81no—
1132C2×D4—81no—
1133C2×D4—81no—
1134C2×D4—81no—
1135C2×D4—81no—
1136C2×D4—81no—
1137C2×D4—81no—
1138C2×D4—81no—
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—816no—
1150C2×D4—816no—
1151C2×D4C22×D412yes—
1152C22×C4—21no—
1153C22×C4—21no—
1154C22×C4—21no—
1155C22×C4—21no—
1156C22×C4—21no—
1157C22×C4—21no—
1158C22×C4—21no—
1159C22×C4—22no—
1160C22×C4—21no—
1161C22×C4—21no—
1162C22×C4—21no—
1163C22×C4—21no—
1164C22×C4—21no—
1165C22×C4—21no—
1166C22×C4—21no—
1167C22×C4—21no—
1168C22×C4—21no—
1169C22×C4—21no—
1170C22×C4—21no—
1171C22×C4—21no—
1172C22×C4—21no—
1173C22×C4—21no—
1174C22×C4—21no—
1175C22×C4—21no—
1176C22×C4—21no—
1177C22×C4—21no—
1178C22×C4—21no—
1179C22×C4—21no—
1180C22×C4—21no—
1181C22×C4—21no—
1182C22×C4—21no—
1183C22×C4—21no—
1184C22×C4—22no—
1185C22×C4—22no—
1186C22×C4—21no—
1187C22×C4—21no—
1188C22×C4—21no—
1189C22×C4—21no—
1190C22×C4—21no—
1191C22×C4—21no—
1192C22×C4—21no—
1193C22×C4—21no—
1194C22×C4—41no—
1195C22×C4—41no—
1196C22×C4—41no—
1197C22×C4—41no—
1198C22×C4—41no—
1199C22×C4—41no—
1200C22×C4—42no—
1201C22×C4—42no—
1202C22×C4—42no—
1203C22×C4—42no—
1204C22×C4—42no—
1205C22×C4—42no—
1206C22×C4—42no—
1207C22×C4—42no—
1208C22×C4—82no—
1209C22×C4—82no—
1210C22×C4—82no—
1211C22×C4—82no—
1212C22×C4—81no—
1213C22×C4—81no—
1214C22×C4—81no—
1215C22×C4—81no—
1216C22×C4—81no—
1217C22×C4—81no—
1218C22×C4—81no—
1219C22×C4C22×D411yescharacteristic
1220C22×C4C22×D411yescharacteristic
1221C22×C4C22×D411yescharacteristic
1222C22×C4C22×D411yescharacteristic
1223C22×C4C22×D411yescharacteristic
1224C22×C4C22×D411yescharacteristic
1225C22×C4C22×D411yescharacteristic
1226C22×C4C22×D411yescharacteristic
1227C22×C4C22×D411yescharacteristic
1228C22×C4C22×D412yes—
1229C22×C4H(5,𝔽2)12yes—
1230C22×C4C2511yescharacteristic
1231SD16—44no—
1232SD16—82no—
1233SD16—82no—
1234D8—82no—
1235D8—82no—
1236D8—82no—
1237D8—82no—
1238D8—82no—
1239D8—82no—
1240M16—44no—
1241M16—82no—
1242C2×C8—21no—
1243C2×C8—21no—
1244C2×C8—21no—
1245C2×C8—21no—
1246C2×C8—21no—
1247C2×C8—21no—
1248C2×C8—21no—
1249C2×C8—21no—
1250C2×C8—21no—
1251C2×C8—21no—
1252C2×C8—21no—
1253C2×C8—21no—
1254C2×C8—21no—
1255C2×C8—21no—
1256C2×C8—21no—
1257C2×C8—21no—
1258C2×C8—21no—
1259C2×C8—21no—
1260C2×C8—21no—
1261C2×C8—21no—
1262C2×C8—21no—
1263C2×C8—44no—
1264C2×C8—82no—
1265C2×C8C22×D412yes—
1266C2×C8C22×D412yes—
1267C2×C8H(5,𝔽2)12yes—
1268C4⋊C4—22no—
1269C4⋊C4—22no—
1270C4⋊C4—22no—
1271C4⋊C4—22no—
1272C4⋊C4—24no—
1273C4⋊C4—21no—
1274C4⋊C4—21no—
1275C4⋊C4—21no—
1276C4⋊C4—21no—
1277C4⋊C4—21no—
1278C4⋊C4—21no—
1279C4⋊C4—21no—
1280C4⋊C4—21no—
1281C4⋊C4—21no—
1282C4⋊C4—21no—
1283C4⋊C4—21no—
1284C4⋊C4—21no—
1285C4⋊C4—21no—
1286C4⋊C4—21no—
1287C4⋊C4—21no—
1288C4⋊C4—21no—
1289C4⋊C4—21no—
1290C4⋊C4—21no—
1291C4⋊C4—41no—
1292C4⋊C4—41no—
1293C4⋊C4—42no—
1294C4⋊C4—42no—
1295C4⋊C4—42no—
1296C4⋊C4—42no—
1297C4⋊C4—42no—
1298C4⋊C4—81no—
1299C4⋊C4—81no—
1300C4⋊C4C22×D412yes—
1301C4⋊C4C22×D412yes—
1302C22⋊C4—24no—
1303C22⋊C4—22no—
1304C22⋊C4—22no—
1305C22⋊C4—22no—
1306C22⋊C4—22no—
1307C22⋊C4—22no—
1308C22⋊C4—22no—
1309C22⋊C4—24no—
1310C22⋊C4—41no—
1311C22⋊C4—41no—
1312C22⋊C4—41no—
1313C22⋊C4—41no—
1314C22⋊C4—42no—
1315C22⋊C4—42no—
1316C22⋊C4—42no—
1317C22⋊C4—42no—
1318C22⋊C4—42no—
1319C22⋊C4—42no—
1320C22⋊C4—42no—
1321C22⋊C4—42no—
1322C22⋊C4—42no—
1323C22⋊C4—42no—
1324C22⋊C4—42no—
1325C22⋊C4—42no—
1326C22⋊C4—42no—
1327C22⋊C4—42no—
1328C22⋊C4—42no—
1329C22⋊C4—42no—
1330C22⋊C4—42no—
1331C22⋊C4—42no—
1332C22⋊C4—42no—
1333C22⋊C4—42no—
1334C22⋊C4—42no—
1335C22⋊C4—81no—
1336C22⋊C4—81no—
1337C22⋊C4—81no—
1338C22⋊C4—81no—
1339C22⋊C4—81no—
1340C22⋊C4—81no—
1341C22⋊C4—81no—
1342C22⋊C4—81no—
1343C22⋊C4—81no—
1344C22⋊C4—81no—
1345C22⋊C4—81no—
1346C22⋊C4—81no—
1347C22⋊C4—81no—
1348C22⋊C4—81no—
1349C22⋊C4—81no—
1350C22⋊C4—81no—
1351C22⋊C4—81no—
1352C22⋊C4—81no—
1353C22⋊C4—81no—
1354C22⋊C4—81no—
1355C22⋊C4—81no—
1356C22⋊C4—81no—
1357C42—21no—
1358C42—21no—
1359C42—42no—
1360C42—42no—
1361C42—42no—
1362C42—81no—
1363C42—81no—
1364C42H(5,𝔽2)12yes—
1365C42H(5,𝔽2)12yes—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—22no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—44no—
1401C23—44no—
1402C23—41no—
1403C23—41no—
1404C23—41no—
1405C23—41no—
1406C23—41no—
1407C23—41no—
1408C23—41no—
1409C23—41no—
1410C23—41no—
1411C23—41no—
1412C23—41no—
1413C23—41no—
1414C23—41no—
1415C23—41no—
1416C23—41no—
1417C23—41no—
1418C23—41no—
1419C23—41no—
1420C23—41no—
1421C23—41no—
1422C23—41no—
1423C23—41no—
1424C23—41no—
1425C23—41no—
1426C23—41no—
1427C23—41no—
1428C23—41no—
1429C23—41no—
1430C23—41no—
1431C23—41no—
1432C23—41no—
1433C23—41no—
1434C23—41no—
1435C23—41no—
1436C23—82no—
1437C23—82no—
1438C23—82no—
1439C23—84no—
1440C23—84no—
1441C23—82no—
1442C23—82no—
1443C23—84no—
1444C23—84no—
1445C23—84no—
1446C23—84no—
1447C23—162no—
1448C23—162no—
1449C23—162no—
1450C23—162no—
1451C23—162no—
1452C23—162no—
1453C23—162no—
1454C23—162no—
1455C23D4212yes—
1456C23#57612yes—
1457C23C23×D411yescharacteristic
1458Q8—22no—
1459Q8—22no—
1460Q8—41no—
1461Q8—41no—
1462Q8—82no—
1463D4—22no—
1464D4—22no—
1465D4—44no—
1466D4—41no—
1467D4—41no—
1468D4—41no—
1469D4—41no—
1470D4—41no—
1471D4—41no—
1472D4—41no—
1473D4—41no—
1474D4—41no—
1475D4—41no—
1476D4—41no—
1477D4—41no—
1478D4—41no—
1479D4—41no—
1480D4—41no—
1481D4—41no—
1482D4—41no—
1483D4—41no—
1484D4—82no—
1485D4—82no—
1486D4—84no—
1487D4—84no—
1488D4—82no—
1489D4—82no—
1490D4—82no—
1491D4—84no—
1492D4—84no—
1493D4—82no—
1494D4—84no—
1495D4—84no—
1496D4—84no—
1497D4—84no—
1498D4—84no—
1499D4—84no—
1500D4—84no—
1501D4—84no—
1502D4—84no—
1503D4—84no—
1504D4—162no—
1505D4—162no—
1506D4—162no—
1507D4—162no—
1508D4—162no—
1509D4—162no—
1510D4—162no—
1511D4—162no—
1512D4—162no—
1513D4—162no—
1514D4—162no—
1515D4—162no—
1516D4—162no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—41no—
1549C2×C4—41no—
1550C2×C4—41no—
1551C2×C4—41no—
1552C2×C4—41no—
1553C2×C4—41no—
1554C2×C4—41no—
1555C2×C4—41no—
1556C2×C4—41no—
1557C2×C4—41no—
1558C2×C4—41no—
1559C2×C4—41no—
1560C2×C4—41no—
1561C2×C4—41no—
1562C2×C4—41no—
1563C2×C4—41no—
1564C2×C4—41no—
1565C2×C4—41no—
1566C2×C4—41no—
1567C2×C4—41no—
1568C2×C4—41no—
1569C2×C4—41no—
1570C2×C4—41no—
1571C2×C4—41no—
1572C2×C4—41no—
1573C2×C4—41no—
1574C2×C4—41no—
1575C2×C4—41no—
1576C2×C4—41no—
1577C2×C4—41no—
1578C2×C4—41no—
1579C2×C4—41no—
1580C2×C4—41no—
1581C2×C4—41no—
1582C2×C4—41no—
1583C2×C4—41no—
1584C2×C4—41no—
1585C2×C4—41no—
1586C2×C4—41no—
1587C2×C4—41no—
1588C2×C4—41no—
1589C2×C4—41no—
1590C2×C4—41no—
1591C2×C4—41no—
1592C2×C4—41no—
1593C2×C4—41no—
1594C2×C4—82no—
1595C2×C4—82no—
1596C2×C4—84no—
1597C2×C4—82no—
1598C2×C4—84no—
1599C2×C4—84no—
1600C2×C4—84no—
1601C2×C4—162no—
1602C2×C4#53412yes—
1603C2×C4#53412yes—
1604C2×C4D4212yes—
1605C2×C4C23×D411yescharacteristic
1606C2×C4C2×H(5,𝔽2)11yescharacteristic
1607C2×C4C2×H(5,𝔽2)11yescharacteristic
1608C2×C4C2×H(5,𝔽2)11yescharacteristic
1609C2×C4C2×H(5,𝔽2)11yescharacteristic
1610C2×C4#58511yescharacteristic
1611C8—22no—
1612C8—22no—
1613C8—22no—
1614C8—41no—
1615C8—41no—
1616C8—41no—
1617C8—41no—
1618C8—41no—
1619C22—22no—
1620C22—22no—
1621C22—22no—
1622C22—22no—
1623C22—22no—
1624C22—22no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—41no—
1633C22—41no—
1634C22—41no—
1635C22—41no—
1636C22—41no—
1637C22—41no—
1638C22—41no—
1639C22—41no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—42no—
1648C22—41no—
1649C22—41no—
1650C22—42no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—41no—
1655C22—41no—
1656C22—42no—
1657C22—88no—
1658C22—81no—
1659C22—81no—
1660C22—81no—
1661C22—81no—
1662C22—81no—
1663C22—81no—
1664C22—81no—
1665C22—81no—
1666C22—81no—
1667C22—81no—
1668C22—81no—
1669C22—81no—
1670C22—81no—
1671C22—81no—
1672C22—81no—
1673C22—81no—
1674C22—81no—
1675C22—81no—
1676C22—81no—
1677C22—81no—
1678C22—81no—
1679C22—81no—
1680C22—81no—
1681C22—81no—
1682C22—81no—
1683C22—81no—
1684C22—81no—
1685C22—81no—
1686C22—81no—
1687C22—81no—
1688C22—81no—
1689C22—81no—
1690C22—168no—
1691C22—168no—
1692C22C2×#53411yescharacteristic
1693C22C2×D4211yescharacteristic
1694C22#349611yescharacteristic
1695C22C2×#57611yescharacteristic
1696C22#358411yescharacteristic
1697C22#358511yescharacteristic
1698C22#358511yescharacteristic
1699C4—22no—
1700C4—22no—
1701C4—22no—
1702C4—41no—
1703C4—41no—
1704C4—42no—
1705C4—42no—
1706C4—41no—
1707C4—41no—
1708C4—41no—
1709C4—41no—
1710C4—42no—
1711C4—81no—
1712C4—81no—
1713C4—81no—
1714C4—81no—
1715C4—81no—
1716C4—81no—
1717C4—81no—
1718C4—81no—
1719C4#349611yescharacteristic
1720C4#349811yescharacteristic
1721C4#353711yescharacteristic
1722C4#355811yescharacteristic
1723C2—42no—
1724C2—42no—
1725C2—81no—
1726C2—81no—
1727C2—81no—
1728C2—82no—
1729C2—161no—
1730C2—161no—
1731C2—161no—
1732C2—161no—
1733C2#3935811yescharacteristic
1734C2#6075611yescharacteristic
1735C2#6076011yescharacteristic
1736C2#6105611yescharacteristic
1737C2#6105911yescharacteristic
1738C2#6231511yescharacteristic
1739C2#6232011yescharacteristic
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×#3198C2semidirect
2. C2×#3188C2semidirect
3. #37657C2semidirect
4. #37650C2semidirect
5. #33179C2semidirect
6. #31207C2semidirect
7. #31204C2semidirect
8. #31063C2semidirect
9. #31063C2semidirect
10. #31021C2semidirect
11. #31020C2semidirect
12. #31017C2semidirect
13. #31016C2semidirect
14. #29738C2semidirect
15. #29730C2semidirect
16. #26246C2semidirect
17. #26246C2semidirect
18. #25759C2semidirect
19. #25757C2semidirect
20. #25020C2semidirect
21. #25019C2semidirect
22. #24768C2semidirect
23. #24762C2semidirect
24. #24397C2semidirect
25. #24390C2semidirect
26. #24388C2semidirect
27. #24384C2semidirect
28. #24252C2semidirect
29. #24250C2semidirect
30. #21531C2semidirect
31. #21191C2semidirect
32. C2×#550C22semidirect
34. C2×#537C22semidirect
37. C2×#525C22semidirect
41. C2×#493C22semidirect
42. C2×#484C22semidirect
43. C2×#481C22semidirect
44. C2×#481C22semidirect
45. C2×#485C22semidirect
47. C2×#482C22semidirect
48. C2×#482C22semidirect
49. C2×#480C22semidirect
51. C2×#469C22semidirect
52. C2×#469C22semidirect
53. C2×#468C22semidirect
55. C2×#466C22semidirect
56. C2×#466C22semidirect
58. C2×#465C22semidirect
59. C2×#460C22semidirect
60. C2×#459C22semidirect
62. C2×#449C22semidirect
63. C2×#449C22semidirect
64. C2×#449C22semidirect
65. C2×#449C22semidirect
66. C2×#449C22semidirect
68. C2×#450C22semidirect
71. C2×#447C22semidirect
72. C2×#447C22semidirect
73. C2×#440C22semidirect
74. C2×#424C22semidirect
75. C2×#408C22semidirect
76. C2×#408C22semidirect
77. C2×#407C22semidirect
78. C22×C22⋊C8C22semidirect
79. C2×#405C22semidirect
81. #2847C22semidirect
91. #2619C22semidirect
93. #2615C22semidirect
105. #2416C22semidirect
107. #2414C22semidirect
111. #2407C22semidirect
112. #2407C22semidirect
115. #2352C22semidirect
117. #2323C22semidirect
118. #2076C22semidirect
119. #2076C22semidirect
120. #2075C22semidirect
121. #2075C22semidirect
122. #2067C22semidirect
123. #2067C22semidirect
124. #2065C22semidirect
125. #2065C22semidirect
126. #2055C22semidirect
127. #2055C22semidirect
128. #2054C22semidirect
129. #2054C22semidirect
130. #2035C22semidirect
131. #2035C22semidirect
133. #2034C22semidirect
134. #2034C22semidirect
135. #2034C22semidirect
137. #2033C22semidirect
138. #2033C22semidirect
139. #2033C22semidirect
140. #2033C22semidirect
141. #2033C22semidirect
142. #2033C22semidirect
143. #2033C22semidirect
144. #2033C22semidirect
145. #2033C22semidirect
147. #2000C22semidirect
151. #1999C22semidirect
152. #1999C22semidirect
153. #1999C22semidirect
154. #1999C22semidirect
155. #1999C22semidirect
156. #1999C22semidirect
157. #1999C22semidirect
158. #1982C22semidirect
159. #1982C22semidirect
160. #1973C22semidirect
161. #1972C22semidirect
162. #1972C22semidirect
163. #1970C22semidirect
164. #1970C22semidirect
165. #1961C22semidirect
166. #1961C22semidirect
168. #1955C22semidirect
169. #1955C22semidirect
170. #1955C22semidirect
172. #1954C22semidirect
173. #1954C22semidirect
174. #1954C22semidirect
175. #1949C22semidirect
176. #1949C22semidirect
177. #1944C22semidirect
178. #1934C22semidirect
179. #1933C22semidirect
181. #1895C22semidirect
182. #1895C22semidirect
183. #1894C22semidirect
184. #1893C22semidirect
185. #1893C22semidirect
186. #1875C22semidirect
187. #1875C22semidirect
188. #1874C22semidirect
189. #1874C22semidirect
190. #1854C22semidirect
191. #1854C22semidirect
192. #1853C22semidirect
193. #1853C22semidirect
194. #1846C22semidirect
195. #1808C22semidirect
196. #1805C22semidirect
197. #1804C22semidirect
198. #1788C22semidirect
199. #1788C22semidirect
201. #1786C22semidirect
202. #1776C22semidirect
203. C4×#103C22semidirect
204. C4×#102C22semidirect
330. #465D4semidirect
670. C22×C8C2×D4semidirect
699. C22⋊Q8C2×D4semidirect
883. #106C2×D4semidirect
892. #103C2×D4semidirect

Maximal subgroups

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

subgroupindex
C2×#31982
C2×#31882
#376572
#376502
#331792
#312072
#312042
#310632
#310212
#310202
#310172
#310162
#297382
#297302
#262462
#257592
#257572
#250202
#250192
#247682
#247622
#243972
#243902
#243882
#243842
#242522
#242502
#215312
#211912