Finite Group Databasebeta

← #6667805

Subgroups — #6667805

Order 512.

3079 conjugacy classes of subgroups.

The subgroup lattice has 1857 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3274C211yesmaximal, characteristic, complemented
2C2×#3008C211yesmaximal, characteristic, complemented
3#42420C211yesmaximal, characteristic, complemented
4#36091C211yesmaximal, characteristic, complemented
5#32884C211yesmaximal, characteristic, complemented
6#31064C211yesmaximal, characteristic, complemented
7#31056C211yesmaximal, characteristic, complemented
8#31000C211yesmaximal, characteristic, complemented
9#30984C211yesmaximal, characteristic, complemented
10#30444C211yesmaximal, characteristic, complemented
11#30444C211yesmaximal, characteristic, complemented
12#30416C211yesmaximal, characteristic, complemented
13#30412C211yesmaximal, characteristic, complemented
14#29745C211yesmaximal, characteristic, complemented
15#29602C211yesmaximal, characteristic, complemented
16#28353C211yesmaximal, characteristic, complemented
17#28110C211yesmaximal, characteristic, complemented
18#25179C211yesmaximal, characteristic, complemented
19#25159C211yesmaximal, characteristic, complemented
20#24900C211yesmaximal, characteristic, complemented
21#24896C211yesmaximal, characteristic, complemented
22#24535C211yesmaximal, characteristic, complemented
23#24354C211yesmaximal, characteristic, complemented
24#24250C211yesmaximal, characteristic, complemented
25#24238C211yesmaximal, characteristic, complemented
26#24034C211yesmaximal, characteristic, complemented
27#23869C211yesmaximal, characteristic, complemented
28#23869C211yesmaximal, characteristic, complemented
29#23848C211yesmaximal, characteristic, complemented
30#22443C211yesmaximal, characteristic, complemented
31#22039C211yesmaximal, characteristic, complemented
32C22×H(5,𝔽2)C2211yescharacteristic, complemented
33C22×AGL(1,ℤ/8)C2211yescharacteristic
34C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
35C23×D8C2211yescharacteristic
36C2×#550C2211yescharacteristic
37C2×#550C2211yescharacteristic, complemented
38C2×#550C2211yescharacteristic, complemented
39C2×D42C2211yescharacteristic, complemented
40C2×#535C2211yescharacteristic
41#3274—28no—
42C2×#493C2211yescharacteristic, complemented
43C2×#482C2211yescharacteristic, complemented
44C2×#469C2211yescharacteristic, complemented
45C2×#469C2211yescharacteristic, complemented
46C2×#460C2211yescharacteristic, complemented
47C2×#459C2211yescharacteristic, complemented
48C2×#459C2211yescharacteristic, complemented
49C2×#459C2211yescharacteristic, complemented
50#3008—28no—
51C2×#449C2211yescharacteristic
52C2×#449C2211yescharacteristic
53C2×#449C2211yescharacteristic
54C2×#449C2211yescharacteristic, complemented
55C2×#449C2211yescharacteristic, complemented
56C2×#449C2211yescharacteristic, complemented
57C2×#449C2211yescharacteristic, complemented
58C2×#449C2211yescharacteristic, complemented
59C2×#447C2211yescharacteristic
60C2×#447C2211yescharacteristic
61C2×#447C2211yescharacteristic
62C2×#447C2211yescharacteristic, complemented
63C2×#447C2211yescharacteristic, complemented
64C2×#447C2211yescharacteristic, complemented
65C2×#447C2211yescharacteristic, complemented
66C2×#447C2211yescharacteristic, complemented
67C2×#447C2211yescharacteristic, complemented
68C2×#447C2211yescharacteristic, complemented
69C2×#447C2211yescharacteristic, complemented
70C2×#440C2211yescharacteristic, complemented
71C2×C4×SD16C2211yescharacteristic, complemented
72C2×C4×SD16C2211yescharacteristic, complemented
73C2×#436C2211yescharacteristic, complemented
74C2×#418C2211yescharacteristic, complemented
75C2×#416C2211yescharacteristic, complemented
76C2×#408C2211yescharacteristic, complemented
77#2812—21no—
78#2686—21no—
79#2684—21no—
80#2673—21no—
81#2669—21no—
82#2617—21no—
83#2615—21no—
84#2615C2211yescharacteristic
85#2615C2211yescharacteristic, complemented
86#2613—21no—
87#2537C2211yescharacteristic, complemented
88#2535C2211yescharacteristic, complemented
89#2500C2211yescharacteristic, complemented
90#2485C2211yescharacteristic, complemented
91#2433—21no—
92#2433—21no—
93#2433—21no—
94#2433C2211yescharacteristic, complemented
95#2433C2211yescharacteristic, complemented
96#2433C2211yescharacteristic, complemented
97#2428C2211yescharacteristic, complemented
98#2428C2211yescharacteristic, complemented
99#2422C2211yescharacteristic, complemented
100#2420C2211yescharacteristic, complemented
101#2410—21no—
102#2408—21no—
103#2408—21no—
104#2408—21no—
105#2408C2211yescharacteristic
106#2408C2211yescharacteristic, complemented
107#2408C2211yescharacteristic, complemented
108#2408C2211yescharacteristic, complemented
109#2408C2211yescharacteristic, complemented
110#2388—21no—
111#2388C2211yescharacteristic
112#2341C2211yescharacteristic, complemented
113#2341C2211yescharacteristic, complemented
114#2341C2211yescharacteristic, complemented
115D4×C22⋊C4C2211yescharacteristic, complemented
116#2094C2211yescharacteristic, complemented
117#2092C2211yescharacteristic, complemented
118#2077C2211yescharacteristic, complemented
119#2077C2211yescharacteristic, complemented
120#2073C2211yescharacteristic, complemented
121#2071C2211yescharacteristic, complemented
122#2067C2211yescharacteristic, complemented
123#2065C2211yescharacteristic, complemented
124#2054C2211yescharacteristic, complemented
125#2054C2211yescharacteristic, complemented
126#2054C2211yescharacteristic, complemented
127#2054C2211yescharacteristic, complemented
128#2041C2211yescharacteristic, complemented
129#2041C2211yescharacteristic, complemented
130#2034C2211yescharacteristic, complemented
131#2034C2211yescharacteristic, complemented
132#2034C2211yescharacteristic, complemented
133#2034C2211yescharacteristic, complemented
134#2034C2211yescharacteristic, complemented
135#2034C2211yescharacteristic, complemented
136#2033C2211yescharacteristic, complemented
137#2033C2211yescharacteristic, complemented
138#2033C2211yescharacteristic, complemented
139#2033C2211yescharacteristic, complemented
140#2033C2211yescharacteristic, complemented
141#2033C2211yescharacteristic, complemented
142#2011C2211yescharacteristic, complemented
143#2011C2211yescharacteristic, complemented
144#2011C2211yescharacteristic, complemented
145#2011C2211yescharacteristic, complemented
146#2011C2211yescharacteristic, complemented
147#2011C2211yescharacteristic, complemented
148#1999C2211yescharacteristic, complemented
149#1999C2211yescharacteristic, complemented
150#1999C2211yescharacteristic, complemented
151#1999C2211yescharacteristic, complemented
152#1999C2211yescharacteristic, complemented
153#1999C2211yescharacteristic, complemented
154#1999C2211yescharacteristic, complemented
155#1999C2211yescharacteristic, complemented
156#1972C2211yescharacteristic, complemented
157#1972C2211yescharacteristic, complemented
158#1970C2211yescharacteristic, complemented
159#1970C2211yescharacteristic, complemented
160#1961C2211yescharacteristic, complemented
161#1957C2211yescharacteristic, complemented
162#1955C2211yescharacteristic, complemented
163#1954C2211yescharacteristic, complemented
164#1934C2211yescharacteristic, complemented
165#1934C2211yescharacteristic, complemented
166#1924C2211yescharacteristic, complemented
167#1923C2211yescharacteristic, complemented
168#1923C2211yescharacteristic, complemented
169#1923C2211yescharacteristic, complemented
170#1895C2211yescharacteristic, complemented
171#1895C2211yescharacteristic, complemented
172#1893C2211yescharacteristic, complemented
173#1893C2211yescharacteristic, complemented
174#1880C2211yescharacteristic, complemented
175#1880C2211yescharacteristic, complemented
176#1880C2211yescharacteristic, complemented
177#1880C2211yescharacteristic, complemented
178#1879C2211yescharacteristic, complemented
179#1879C2211yescharacteristic, complemented
180#1879C2211yescharacteristic, complemented
181#1879C2211yescharacteristic, complemented
182#1879C2211yescharacteristic, complemented
183#1879C2211yescharacteristic, complemented
184#1870C2211yescharacteristic, complemented
185#1870C2211yescharacteristic, complemented
186#1869C2211yescharacteristic, complemented
187#1865C2211yescharacteristic, complemented
188#1863C2211yescharacteristic, complemented
189#1850C2211yescharacteristic, complemented
190#1825C2211yescharacteristic, complemented
191#1809C2211yescharacteristic, complemented
192#1805C2211yescharacteristic, complemented
193#1803C2211yescharacteristic, complemented
194#1788C2211yescharacteristic, complemented
195#1788C2211yescharacteristic, complemented
196#1788C2211yescharacteristic, complemented
197#1788C2211yescharacteristic, complemented
198#1788C2211yescharacteristic, complemented
199#1786C2211yescharacteristic, complemented
200#1786C2211yescharacteristic, complemented
201#1786C2211yescharacteristic, complemented
202#1786C2211yescharacteristic, complemented
203#1780C2211yescharacteristic, complemented
204#1753C2211yescharacteristic, 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
216C22×#41C2311yescharacteristic
217C23×D4—21no—
218C23×D4—21no—
219C23×D4—21no—
220C23×D4—21no—
221C23×D4C2311yescharacteristic
222C23×D4C2311yescharacteristic
223C23×D4C2311yescharacteristic
224C23×D4C2311yescharacteristic
225C23×D4C2311yescharacteristic
226C2×AGL(1,ℤ/8)—24no—
227C2×AGL(1,ℤ/8)—42no—
228C2×AGL(1,ℤ/8)—42no—
229C2×AGL(1,ℤ/8)—42no—
230C2×AGL(1,ℤ/8)—42no—
231C2×AGL(1,ℤ/8)D418yescomplemented
232C22×SD16C2311yescharacteristic
233C22×SD16C2311yescharacteristic
234C22×SD16C2311yescharacteristic
235C22×D8—24no—
236C22×D8—42no—
237C22×D8—42no—
238C22×D8C2311yescharacteristic
239C22×D8C2311yescharacteristic
240C22×D8C2311yescharacteristic
241C22×D8C2311yescharacteristic
242C22×D8C2311yescharacteristic
243C22×D8C2311yescharacteristic
244C22×D8C2311yescharacteristic
245C22×D8C2311yescharacteristic
246C22×D8C2311yescharacteristic
247C22×D8C2311yescharacteristic
248C22×D8C2311yescharacteristic
249C22×D8C2311yescharacteristic
250C22×M16C2311yescharacteristic
251C22×M16C2311yescharacteristic
252C23×C8C2311yescharacteristic
253#550—24no—
254#550—42no—
255#550—42no—
256#550—42no—
257#550—42no—
258#550—42no—
259D42—24no—
260D42—42no—
261#535—24no—
262#535—42no—
263C2×#127—21no—
264C2×#127—21no—
265C2×#127—21no—
266C2×#127—21no—
267C2×#127C2311yescharacteristic
268C2×#127C2311yescharacteristic
269C2×#127C2311yescharacteristic
270C2×#127C2311yescharacteristic
271C2×#124—21no—
272C2×#123—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×#121C2311yescharacteristic
284C2×#121C2311yescharacteristic
285C2×#121C2311yescharacteristic
286C2×#121C2311yescharacteristic
287C2×#121C2311yescharacteristic
288C2×#121C2311yescharacteristic
289C2×#121C2311yescharacteristic
290C2×#121C2311yescharacteristic
291C2×#121C2311yescharacteristic
292C2×#121C2311yescharacteristic
293C2×#121C2311yescharacteristic
294C2×#121C2311yescharacteristic
295C2×#121C2311yescharacteristic
296C2×#121C2311yescharacteristic
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×#120—21no—
309C2×#120—21no—
310C2×#120—21no—
311C2×#120—21no—
312C2×C4×Q8C2311yescharacteristic
313C2×C4×Q8C2311yescharacteristic
314C2×C4×Q8C2311yescharacteristic
315C2×C4×D4—21no—
316C2×C4×D4—21no—
317C2×C4×D4—21no—
318C2×C4×D4C2311yescharacteristic
319C2×C4×D4C2311yescharacteristic
320C2×C4×D4C2311yescharacteristic
321C2×C4×D4C2311yescharacteristic
322C2×C4×D4C2311yescharacteristic
323C2×C4×D4C2311yescharacteristic
324C2×#117C2311yescharacteristic
325C22×C22⋊C4—21no—
326#493—24no—
327#482—42no—
328#469—24no—
329#469—24no—
330#460—24no—
331#459—24no—
332#459—42no—
333#459—42no—
334#449—24no—
335#449—24no—
336#449—24no—
337#449—24no—
338#449—24no—
339#449—24no—
340#449—42no—
341#449—42no—
342#447—24no—
343#447—24no—
344#447—24no—
345#447—24no—
346#447—24no—
347#447—24no—
348#447—42no—
349#447—42no—
350#447—42no—
351#447—42no—
352#447—42no—
353#440—42no—
354C4×SD16—24no—
355C4×SD16—42no—
356#436—24no—
357C2×#107C2311yescharacteristic
358C2×#107C2311yescharacteristic
359C2×#106C2311yescharacteristic
360C2×#106C2311yescharacteristic
361C2×#106C2311yescharacteristic
362C2×C4⋊C8C2311yescharacteristic
363C2×C4⋊C8C2311yescharacteristic
364C2×C4⋊C8C2311yescharacteristic
365#418—24no—
366#416—24no—
367C2×#103C2311yescharacteristic
368C2×#103C2311yescharacteristic
369C2×#103C2311yescharacteristic
370C2×#103C2311yescharacteristic
371C2×#103C2311yescharacteristic
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
395C2×#102C2311yescharacteristic
396C2×#102C2311yescharacteristic
397C2×#102C2311yescharacteristic
398C2×#102C2311yescharacteristic
399C2×#102C2311yescharacteristic
400C2×#102C2311yescharacteristic
401#408—24no—
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
412C2×C22⋊C8C2311yescharacteristic
413C2×C22⋊C8C2311yescharacteristic
414C2×C22⋊C8C2311yescharacteristic
415C2×#97C2311yescharacteristic
416C2×C4×C8C2311yescharacteristic
417C2×C4×C8C2311yescharacteristic
418#397—21no—
419#397—21no—
420#397—21no—
421#397—21no—
422#395D411yescharacteristic
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#394—21no—
435#394—21no—
436#394—21no—
437#394D411yescharacteristic
438#394D411yescharacteristic
439#394D411yescharacteristic
440#393—21no—
441#393—21no—
442#393D411yescharacteristic
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#392—21no—
458#392—21no—
459#392—21no—
460#392—21no—
461#392—21no—
462#392—21no—
463#392D411yescharacteristic
464#392D411yescharacteristic
465#392D411yescharacteristic
466#390—21no—
467#390—21no—
468#390—21no—
469#390—21no—
470#390—21no—
471#390—21no—
472#390C2311yescharacteristic
473#390C2311yescharacteristic
474#390C2311yescharacteristic
475#390C2311yescharacteristic
476#390C2311yescharacteristic
477#390C2311yescharacteristic
478#390C2311yescharacteristic
479#390C2311yescharacteristic
480#390C2311yescharacteristic
481#390C2311yescharacteristic
482#389C2311yescharacteristic
483#389C2311yescharacteristic
484#388—21no—
485#388—21no—
486#388—21no—
487#387—21no—
488#386—21no—
489#386—21no—
490#386—21no—
491#386—21no—
492#386—21no—
493#386—21no—
494#386—21no—
495#385—21no—
496#384C2311yescharacteristic
497#382C2311yescharacteristic
498#381—21no—
499#380—21no—
500#380—21no—
501#380—21no—
502#380—21no—
503#380C2311yescharacteristic
504#380C2311yescharacteristic
505#380C2311yescharacteristic
506#380C2311yescharacteristic
507#380C2311yescharacteristic
508#380C2311yescharacteristic
509#380C2311yescharacteristic
510#380C2311yescharacteristic
511#379—21no—
512#379—21no—
513#379—21no—
514#379—21no—
515#379—21no—
516#379—21no—
517C4×C22⋊C4—21no—
518C4×C22⋊C4—21no—
519C4×C22⋊C4—21no—
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#340C2311yescharacteristic
532#340C2311yescharacteristic
533#336C2311yescharacteristic
534#336C2311yescharacteristic
535#336C2311yescharacteristic
536#336C2311yescharacteristic
537#336C2311yescharacteristic
538#336C2311yescharacteristic
539C25—21no—
540C25—21no—
541C25—21no—
542C25—21no—
543C25—21no—
544H(5,𝔽2)—416no—
545H(5,𝔽2)—416no—
546H(5,𝔽2)—416no—
547H(5,𝔽2)—416no—
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—22no—
562C2×#41—22no—
563C2×#41—22no—
564C2×#41—41no—
565C2×#41—41no—
566C2×#41—41no—
567C2×#41—41no—
568C2×#41—41no—
569C2×#41—41no—
570C2×#41—41no—
571C2×#41—41no—
572C2×#41—41no—
573C2×#41—41no—
574C2×#41—41no—
575C2×#41—41no—
576C2×#41—41no—
577C2×#41—44no—
578C2×#41—44no—
579C2×#41—44no—
580C2×#41C2×D414yes—
581C22×Q8C2×D411yescharacteristic
582C22×Q8C2411yescharacteristic
583C22×D4—22no—
584C22×D4—22no—
585C22×D4—21no—
586C22×D4—21no—
587C22×D4—21no—
588C22×D4—22no—
589C22×D4—22no—
590C22×D4—22no—
591C22×D4—22no—
592C22×D4—22no—
593C22×D4—21no—
594C22×D4—21no—
595C22×D4—21no—
596C22×D4—21no—
597C22×D4—21no—
598C22×D4—21no—
599C22×D4—21no—
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—22no—
609C22×D4—21no—
610C22×D4—21no—
611C22×D4—21no—
612C22×D4—21no—
613C22×D4—21no—
614C22×D4—21no—
615C22×D4—21no—
616C22×D4—21no—
617C22×D4—21no—
618C22×D4—21no—
619C22×D4—21no—
620C22×D4—21no—
621C22×D4—21no—
622C22×D4—22no—
623C22×D4—22no—
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—41no—
634C22×D4—41no—
635C22×D4—41no—
636C22×D4—41no—
637C22×D4—41no—
638C22×D4—41no—
639C22×D4—41no—
640C22×D4—41no—
641C22×D4—41no—
642C22×D4—41no—
643C22×D4—44no—
644C22×D4—44no—
645C22×D4—44no—
646C22×D4—44no—
647C22×D4—44no—
648C22×D4—44no—
649C22×D4—44no—
650C22×D4—44no—
651C22×D4—44no—
652C22×D4—44no—
653C22×D4—82no—
654C22×D4—82no—
655C22×D4C2×D411yescharacteristic
656C22×D4C2×D411yescharacteristic
657C22×D4C2×D411yescharacteristic
658C22×D4C2×D411yescharacteristic
659C22×D4C2×D411yescharacteristic
660C22×D4C2×D414yes—
661C22×D4C2×D411yescharacteristic
662C22×D4C2411yescharacteristic
663C22×D4C2411yescharacteristic
664C22×D4C2411yescharacteristic
665C22×D4C2411yescharacteristic
666C22×D4C2411yescharacteristic
667C22×D4C2411yescharacteristic
668C22×D4C2411yescharacteristic
669C23×C4—21no—
670C23×C4—21no—
671C23×C4—21no—
672C23×C4—21no—
673C23×C4—21no—
674C23×C4—21no—
675C23×C4—21no—
676C23×C4C2411yescharacteristic
677C23×C4C2411yescharacteristic
678C23×C4C2411yescharacteristic
679C23×C4C2411yescharacteristic
680AGL(1,ℤ/8)—416no—
681AGL(1,ℤ/8)—416no—
682C2×SD16—22no—
683C2×SD16—22no—
684C2×SD16—22no—
685C2×SD16—22no—
686C2×SD16—22no—
687C2×SD16—22no—
688C2×SD16—22no—
689C2×SD16C2×D414yes—
690C2×SD16C2×D414yes—
691C2×D8—22no—
692C2×D8—22no—
693C2×D8—22no—
694C2×D8—22no—
695C2×D8—22no—
696C2×D8—22no—
697C2×D8—22no—
698C2×D8—22no—
699C2×D8—22no—
700C2×D8—22no—
701C2×D8—22no—
702C2×D8—22no—
703C2×D8—22no—
704C2×D8—22no—
705C2×D8—41no—
706C2×D8—41no—
707C2×D8—41no—
708C2×D8—41no—
709C2×D8—41no—
710C2×D8—41no—
711C2×D8—41no—
712C2×D8—41no—
713C2×D8—41no—
714C2×D8—41no—
715C2×D8—41no—
716C2×D8—41no—
717C2×D8—41no—
718C2×D8—41no—
719C2×D8—41no—
720C2×D8—41no—
721C2×D8—41no—
722C2×D8—41no—
723C2×D8—41no—
724C2×D8—41no—
725C2×D8—416no—
726C2×D8C2×D414yes—
727C2×D8C2×D414yes—
728C2×M16—22no—
729C2×M16—41no—
730C2×M16—41no—
731C2×M16—41no—
732C2×M16—41no—
733C2×M16C2×D414yes—
734C22×C8—22no—
735C22×C8—41no—
736C22×C8—41no—
737C22×C8C2411yescharacteristic
738C22×C8C2411yescharacteristic
739C22×C8C2411yescharacteristic
740C22×C8C2411yescharacteristic
741C22×C8C2411yescharacteristic
742C22×C8C2411yescharacteristic
743C22×C8C2411yescharacteristic
744C22×C8C2411yescharacteristic
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—44no—
754#127—44no—
755#127—44no—
756#127—44no—
757#124—44no—
758#123—82no—
759#121—22no—
760#121—22no—
761#121—22no—
762#121—22no—
763#121—22no—
764#121—22no—
765#121—22no—
766#121—22no—
767#121—22no—
768#121—22no—
769#121—22no—
770#121—22no—
771#121—44no—
772#121—44no—
773#121—41no—
774#121—41no—
775#121—41no—
776#121—41no—
777#121—41no—
778#121—41no—
779#121—41no—
780#121—41no—
781#121—41no—
782#121—41no—
783#121—41no—
784#121—41no—
785#121—44no—
786#121—44no—
787#121—44no—
788#121—44no—
789#121—44no—
790#121—41no—
791#121—41no—
792#121—41no—
793#121—41no—
794#121—82no—
795#121—82no—
796#121—82no—
797#120—44no—
798#120—44no—
799#120—44no—
800#120—44no—
801#120—82no—
802#120—82no—
803#120—82no—
804#120—82no—
805#120—82no—
806#120—82no—
807#120—82no—
808#120—82no—
809#120—82no—
810#120—82no—
811#120—82no—
812C4×Q8—22no—
813C4×Q8—22no—
814C4×Q8—22no—
815C4×Q8—41no—
816C4×Q8—41no—
817C4×Q8—41no—
818C4×D4—22no—
819C4×D4—22no—
820C4×D4—22no—
821C4×D4—41no—
822C4×D4—41no—
823C4×D4—41no—
824C4×D4—41no—
825C4×D4—41no—
826C4×D4—41no—
827C4×D4—41no—
828C4×D4—41no—
829C4×D4—41no—
830C4×D4—44no—
831C4×D4—44no—
832C4×D4—44no—
833#117—22no—
834#117—22no—
835C2×C4⋊C4—21no—
836C2×C4⋊C4—21no—
837C2×C4⋊C4—21no—
838C2×C4⋊C4—21no—
839C2×C4⋊C4—21no—
840C2×C4⋊C4—21no—
841C2×C4⋊C4—21no—
842C2×C4⋊C4C2×D411yescharacteristic
843C2×C4⋊C4C2×D411yescharacteristic
844C2×C4⋊C4C2×D411yescharacteristic
845C2×C4⋊C4C2411yescharacteristic
846C2×C4⋊C4C2411yescharacteristic
847C2×C4⋊C4C2411yescharacteristic
848C2×C4⋊C4C2411yescharacteristic
849C2×C4⋊C4C2411yescharacteristic
850C2×C4⋊C4C2411yescharacteristic
851C2×C4⋊C4C2411yescharacteristic
852C2×C4⋊C4C2411yescharacteristic
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—21no—
892C2×C22⋊C4—21no—
893C2×C22⋊C4—21no—
894C2×C22⋊C4—21no—
895C2×C22⋊C4—21no—
896C2×C22⋊C4—21no—
897C2×C22⋊C4—21no—
898C2×C22⋊C4—21no—
899C2×C22⋊C4—82no—
900C2×C22⋊C4C2×D411yescharacteristic
901C2×C22⋊C4C2×D411yescharacteristic
902C2×C22⋊C4C2×D411yescharacteristic
903C2×C22⋊C4C2×D411yescharacteristic
904C2×C22⋊C4C2×D411yescharacteristic
905C2×C22⋊C4C2×D411yescharacteristic
906C2×C22⋊C4C2×D411yescharacteristic
907C2×C22⋊C4C2×D411yescharacteristic
908C2×C22⋊C4C2×D411yescharacteristic
909C2×C22⋊C4C2×D411yescharacteristic
910C2×C22⋊C4C2×D411yescharacteristic
911C2×C22⋊C4C2×D411yescharacteristic
912C2×C42—21no—
913C2×C42—21no—
914C2×C42—21no—
915C2×C42—21no—
916C2×C42C2411yescharacteristic
917C2×C42C2411yescharacteristic
918C2×C42C2411yescharacteristic
919#107—41no—
920#107—41no—
921#106—22no—
922#106—41no—
923#106—41no—
924C4⋊C8—22no—
925C4⋊C8—41no—
926C4⋊C8—41no—
927#103—22no—
928#103—22no—
929#103—22no—
930#103—22no—
931#103—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—
954#102—41no—
955#102—41no—
956#102—41no—
957#102—41no—
958#102—41no—
959#102—41no—
960#102—41no—
961C22⋊C8—22no—
962C22⋊C8—22no—
963C22⋊C8—22no—
964C22⋊C8—22no—
965C22⋊C8—22no—
966C22⋊C8—22no—
967C22⋊C8—22no—
968C22⋊C8—41no—
969C22⋊C8—41no—
970C22⋊C8—41no—
971C22⋊C8—41no—
972C22⋊C8—41no—
973C22⋊C8—41no—
974#97—41no—
975C4×C8—22no—
976C4×C8—41no—
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—
987#95—21no—
988#95—21no—
989#95C2×D411yescharacteristic
990#95C2×D411yescharacteristic
991#95C2×D411yescharacteristic
992#95C2×D411yescharacteristic
993#95C2×D411yescharacteristic
994#95C2×D411yescharacteristic
995C24—21no—
996C24—21no—
997C24—21no—
998C24—21no—
999C24—21no—
1000C24—24no—
1001C24—21no—
1002C24—21no—
1003C24—42no—
1004C24—42no—
1005C24—42no—
1006C24—42no—
1007C24—42no—
1008C24—42no—
1009C24—42no—
1010C24—42no—
1011C24—42no—
1012C24—42no—
1013C24—42no—
1014C24—81no—
1015C24—81no—
1016C24—81no—
1017C24—81no—
1018C24—81no—
1019C24—81no—
1020C24—81no—
1021C24—81no—
1022C24—81no—
1023C24—81no—
1024C24—81no—
1025C24—81no—
1026C24—81no—
1027C24—81no—
1028C24—81no—
1029C24—81no—
1030C24—81no—
1031C24—81no—
1032C24—81no—
1033C24—81no—
1034C24—81no—
1035C24—81no—
1036C24—81no—
1037C24C22×D411yescharacteristic
1038C24C22×D411yescharacteristic
1039C24C22×D411yescharacteristic
1040C24C22×D411yescharacteristic
1041#41—28no—
1042#41—44no—
1043#41—44no—
1044#41—44no—
1045#41—44no—
1046#41—44no—
1047#41—44no—
1048#41—44no—
1049#41—44no—
1050#41—44no—
1051#41—44no—
1052#41—44no—
1053#41—44no—
1054#41—44no—
1055#41—432no—
1056#41—44no—
1057#41—44no—
1058#41—44no—
1059#41—82no—
1060#41—82no—
1061#41—82no—
1062C2×Q8—22no—
1063C2×Q8—21no—
1064C2×Q8—21no—
1065C2×Q8—21no—
1066C2×Q8—41no—
1067C2×Q8—41no—
1068C2×Q8C22×D412yes—
1069C2×Q8H(5,𝔽2)12yes—
1070C2×Q8H(5,𝔽2)12yes—
1071C2×D4—28no—
1072C2×D4—24no—
1073C2×D4—24no—
1074C2×D4—22no—
1075C2×D4—22no—
1076C2×D4—22no—
1077C2×D4—24no—
1078C2×D4—22no—
1079C2×D4—24no—
1080C2×D4—22no—
1081C2×D4—22no—
1082C2×D4—21no—
1083C2×D4—21no—
1084C2×D4—21no—
1085C2×D4—21no—
1086C2×D4—21no—
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—21no—
1115C2×D4—21no—
1116C2×D4—21no—
1117C2×D4—21no—
1118C2×D4—21no—
1119C2×D4—44no—
1120C2×D4—44no—
1121C2×D4—44no—
1122C2×D4—44no—
1123C2×D4—41no—
1124C2×D4—41no—
1125C2×D4—41no—
1126C2×D4—41no—
1127C2×D4—41no—
1128C2×D4—41no—
1129C2×D4—41no—
1130C2×D4—42no—
1131C2×D4—42no—
1132C2×D4—42no—
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—44no—
1145C2×D4—41no—
1146C2×D4—41no—
1147C2×D4—41no—
1148C2×D4—41no—
1149C2×D4—41no—
1150C2×D4—42no—
1151C2×D4—42no—
1152C2×D4—42no—
1153C2×D4—42no—
1154C2×D4—42no—
1155C2×D4—42no—
1156C2×D4—42no—
1157C2×D4—42no—
1158C2×D4—42no—
1159C2×D4—42no—
1160C2×D4—42no—
1161C2×D4—42no—
1162C2×D4—42no—
1163C2×D4—44no—
1164C2×D4—44no—
1165C2×D4—44no—
1166C2×D4—44no—
1167C2×D4—44no—
1168C2×D4—44no—
1169C2×D4—44no—
1170C2×D4—432no—
1171C2×D4—432no—
1172C2×D4—432no—
1173C2×D4—44no—
1174C2×D4—44no—
1175C2×D4—42no—
1176C2×D4—42no—
1177C2×D4—42no—
1178C2×D4—42no—
1179C2×D4—42no—
1180C2×D4—42no—
1181C2×D4—42no—
1182C2×D4—42no—
1183C2×D4—42no—
1184C2×D4—42no—
1185C2×D4—42no—
1186C2×D4—42no—
1187C2×D4—42no—
1188C2×D4—42no—
1189C2×D4—42no—
1190C2×D4—42no—
1191C2×D4—42no—
1192C2×D4—82no—
1193C2×D4—82no—
1194C2×D4—81no—
1195C2×D4—81no—
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×D4—81no—
1205C2×D4—81no—
1206C2×D4—81no—
1207C2×D4—81no—
1208C2×D4—81no—
1209C2×D4—81no—
1210C2×D4—82no—
1211C2×D4—82no—
1212C2×D4—82no—
1213C2×D4—81no—
1214C2×D4—81no—
1215C2×D4—81no—
1216C2×D4—81no—
1217C2×D4—81no—
1218C2×D4—81no—
1219C2×D4—81no—
1220C2×D4—81no—
1221C2×D4—81no—
1222C2×D4—81no—
1223C2×D4—81no—
1224C2×D4—81no—
1225C2×D4—81no—
1226C2×D4—81no—
1227C2×D4—81no—
1228C2×D4—81no—
1229C2×D4—81no—
1230C2×D4—81no—
1231C2×D4—81no—
1232C2×D4—81no—
1233C2×D4—81no—
1234C2×D4—81no—
1235C2×D4—81no—
1236C2×D4—81no—
1237C2×D4—81no—
1238C2×D4—81no—
1239C2×D4—81no—
1240C2×D4—81no—
1241C2×D4—81no—
1242C2×D4—816no—
1243C2×D4C22×D412yes—
1244C2×D4C22×D412yes—
1245C2×D4C22×D412yes—
1246C2×D4H(5,𝔽2)12yes—
1247C2×D4H(5,𝔽2)12yes—
1248C22×C4—21no—
1249C22×C4—21no—
1250C22×C4—21no—
1251C22×C4—21no—
1252C22×C4—21no—
1253C22×C4—24no—
1254C22×C4—24no—
1255C22×C4—24no—
1256C22×C4—21no—
1257C22×C4—21no—
1258C22×C4—21no—
1259C22×C4—21no—
1260C22×C4—21no—
1261C22×C4—21no—
1262C22×C4—21no—
1263C22×C4—21no—
1264C22×C4—21no—
1265C22×C4—21no—
1266C22×C4—21no—
1267C22×C4—21no—
1268C22×C4—21no—
1269C22×C4—21no—
1270C22×C4—21no—
1271C22×C4—21no—
1272C22×C4—21no—
1273C22×C4—21no—
1274C22×C4—21no—
1275C22×C4—21no—
1276C22×C4—21no—
1277C22×C4—21no—
1278C22×C4—21no—
1279C22×C4—21no—
1280C22×C4—21no—
1281C22×C4—21no—
1282C22×C4—42no—
1283C22×C4—42no—
1284C22×C4—42no—
1285C22×C4—42no—
1286C22×C4—42no—
1287C22×C4—42no—
1288C22×C4—42no—
1289C22×C4—42no—
1290C22×C4—42no—
1291C22×C4—42no—
1292C22×C4—42no—
1293C22×C4—42no—
1294C22×C4—81no—
1295C22×C4—81no—
1296C22×C4—81no—
1297C22×C4—81no—
1298C22×C4—81no—
1299C22×C4—81no—
1300C22×C4C22×D411yescharacteristic
1301C22×C4C22×D411yescharacteristic
1302C22×C4C22×D411yescharacteristic
1303C22×C4C22×D411yescharacteristic
1304C22×C4C22×D411yescharacteristic
1305C22×C4C22×D411yescharacteristic
1306C22×C4C22×D411yescharacteristic
1307C22×C4C22×D411yescharacteristic
1308C22×C4C22×D412yes—
1309C22×C4C22×D411yescharacteristic
1310C22×C4C22×D411yescharacteristic
1311C22×C4H(5,𝔽2)12yes—
1312C22×C4C2511yescharacteristic
1313SD16—28no—
1314SD16—28no—
1315SD16—44no—
1316D8—44no—
1317D8—44no—
1318D8—44no—
1319D8—44no—
1320D8—44no—
1321D8—44no—
1322D8—44no—
1323D8—44no—
1324D8—82no—
1325D8—82no—
1326D8—82no—
1327D8—82no—
1328M16—44no—
1329M16—44no—
1330C2×C8—21no—
1331C2×C8—21no—
1332C2×C8—21no—
1333C2×C8—21no—
1334C2×C8—21no—
1335C2×C8—21no—
1336C2×C8—21no—
1337C2×C8—21no—
1338C2×C8—21no—
1339C2×C8—21no—
1340C2×C8—21no—
1341C2×C8—21no—
1342C2×C8—21no—
1343C2×C8—21no—
1344C2×C8—21no—
1345C2×C8—21no—
1346C2×C8—21no—
1347C2×C8—21no—
1348C2×C8—21no—
1349C2×C8—21no—
1350C2×C8—21no—
1351C2×C8—21no—
1352C2×C8—44no—
1353C2×C8C22×D412yes—
1354C2×C8C22×D412yes—
1355C4⋊C4—22no—
1356C4⋊C4—21no—
1357C4⋊C4—21no—
1358C4⋊C4—21no—
1359C4⋊C4—21no—
1360C4⋊C4—21no—
1361C4⋊C4—21no—
1362C4⋊C4—21no—
1363C4⋊C4—21no—
1364C4⋊C4—21no—
1365C4⋊C4—21no—
1366C4⋊C4—21no—
1367C4⋊C4—21no—
1368C4⋊C4—21no—
1369C4⋊C4—21no—
1370C4⋊C4—21no—
1371C4⋊C4—21no—
1372C4⋊C4—41no—
1373C4⋊C4—41no—
1374C4⋊C4—42no—
1375C4⋊C4—42no—
1376C4⋊C4—42no—
1377C4⋊C4—42no—
1378C4⋊C4—81no—
1379C4⋊C4—81no—
1380C4⋊C4—81no—
1381C22⋊C4—22no—
1382C22⋊C4—22no—
1383C22⋊C4—22no—
1384C22⋊C4—22no—
1385C22⋊C4—22no—
1386C22⋊C4—22no—
1387C22⋊C4—41no—
1388C22⋊C4—41no—
1389C22⋊C4—41no—
1390C22⋊C4—41no—
1391C22⋊C4—41no—
1392C22⋊C4—41no—
1393C22⋊C4—42no—
1394C22⋊C4—42no—
1395C22⋊C4—42no—
1396C22⋊C4—42no—
1397C22⋊C4—42no—
1398C22⋊C4—42no—
1399C22⋊C4—42no—
1400C22⋊C4—42no—
1401C22⋊C4—42no—
1402C22⋊C4—42no—
1403C22⋊C4—42no—
1404C22⋊C4—42no—
1405C22⋊C4—42no—
1406C22⋊C4—42no—
1407C22⋊C4—42no—
1408C22⋊C4—42no—
1409C22⋊C4—42no—
1410C22⋊C4—42no—
1411C22⋊C4—42no—
1412C22⋊C4—42no—
1413C22⋊C4—42no—
1414C22⋊C4—42no—
1415C22⋊C4—42no—
1416C22⋊C4—81no—
1417C22⋊C4—81no—
1418C22⋊C4—81no—
1419C22⋊C4—81no—
1420C22⋊C4—81no—
1421C22⋊C4—81no—
1422C22⋊C4—81no—
1423C22⋊C4—81no—
1424C22⋊C4—81no—
1425C22⋊C4—81no—
1426C22⋊C4—81no—
1427C22⋊C4—81no—
1428C22⋊C4—81no—
1429C22⋊C4—81no—
1430C22⋊C4—81no—
1431C22⋊C4—81no—
1432C22⋊C4—81no—
1433C22⋊C4—81no—
1434C22⋊C4—81no—
1435C22⋊C4—81no—
1436C22⋊C4—81no—
1437C22⋊C4—81no—
1438C22⋊C4—81no—
1439C42—21no—
1440C42—21no—
1441C42—21no—
1442C42—21no—
1443C42—21no—
1444C42—21no—
1445C42—42no—
1446C42—42no—
1447C42—42no—
1448C42—42no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—22no—
1463C23—22no—
1464C23—22no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—22no—
1470C23—22no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—48no—
1482C23—48no—
1483C23—48no—
1484C23—41no—
1485C23—41no—
1486C23—41no—
1487C23—41no—
1488C23—41no—
1489C23—41no—
1490C23—41no—
1491C23—41no—
1492C23—41no—
1493C23—41no—
1494C23—41no—
1495C23—41no—
1496C23—41no—
1497C23—41no—
1498C23—41no—
1499C23—41no—
1500C23—41no—
1501C23—41no—
1502C23—41no—
1503C23—41no—
1504C23—41no—
1505C23—41no—
1506C23—41no—
1507C23—41no—
1508C23—41no—
1509C23—41no—
1510C23—41no—
1511C23—41no—
1512C23—41no—
1513C23—41no—
1514C23—41no—
1515C23—41no—
1516C23—41no—
1517C23—41no—
1518C23—41no—
1519C23—41no—
1520C23—41no—
1521C23—41no—
1522C23—41no—
1523C23—41no—
1524C23—41no—
1525C23—41no—
1526C23—41no—
1527C23—41no—
1528C23—84no—
1529C23—84no—
1530C23—84no—
1531C23—84no—
1532C23—84no—
1533C23—162no—
1534C23—162no—
1535C23—162no—
1536C23—162no—
1537C23—162no—
1538C23—162no—
1539C23—162no—
1540C23—162no—
1541C23—162no—
1542C23—162no—
1543C23—162no—
1544C23—162no—
1545C23—162no—
1546C23—162no—
1547C23—162no—
1548C23—162no—
1549C23—162no—
1550C23—162no—
1551C23—162no—
1552C23—162no—
1553C23—162no—
1554C23—162no—
1555C23—162no—
1556C23—162no—
1557C23—162no—
1558C23—162no—
1559C23—162no—
1560C23D4212yes—
1561C23C23×D411yescharacteristic
1562Q8—22no—
1563Q8—22no—
1564Q8—22no—
1565Q8—44no—
1566Q8#53414yes—
1567D4—22no—
1568D4—22no—
1569D4—22no—
1570D4—22no—
1571D4—22no—
1572D4—22no—
1573D4—22no—
1574D4—22no—
1575D4—22no—
1576D4—22no—
1577D4—44no—
1578D4—48no—
1579D4—48no—
1580D4—44no—
1581D4—48no—
1582D4—48no—
1583D4—44no—
1584D4—44no—
1585D4—48no—
1586D4—48no—
1587D4—41no—
1588D4—41no—
1589D4—41no—
1590D4—41no—
1591D4—41no—
1592D4—41no—
1593D4—41no—
1594D4—41no—
1595D4—41no—
1596D4—41no—
1597D4—41no—
1598D4—41no—
1599D4—41no—
1600D4—41no—
1601D4—41no—
1602D4—41no—
1603D4—41no—
1604D4—41no—
1605D4—82no—
1606D4—84no—
1607D4—84no—
1608D4—84no—
1609D4—84no—
1610D4—84no—
1611D4—82no—
1612D4—84no—
1613D4—84no—
1614D4—84no—
1615D4—84no—
1616D4—162no—
1617D4—162no—
1618D4—162no—
1619D4—162no—
1620D4—162no—
1621D4—162no—
1622D4—162no—
1623D4—162no—
1624D4—162no—
1625D4—162no—
1626D4—162no—
1627D4—162no—
1628D4—162no—
1629D4—162no—
1630D4—162no—
1631D4—162no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—22no—
1636C2×C4—21no—
1637C2×C4—22no—
1638C2×C4—22no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—48no—
1667C2×C4—48no—
1668C2×C4—48no—
1669C2×C4—41no—
1670C2×C4—41no—
1671C2×C4—41no—
1672C2×C4—41no—
1673C2×C4—41no—
1674C2×C4—41no—
1675C2×C4—41no—
1676C2×C4—41no—
1677C2×C4—41no—
1678C2×C4—41no—
1679C2×C4—41no—
1680C2×C4—41no—
1681C2×C4—41no—
1682C2×C4—41no—
1683C2×C4—41no—
1684C2×C4—41no—
1685C2×C4—41no—
1686C2×C4—41no—
1687C2×C4—41no—
1688C2×C4—41no—
1689C2×C4—41no—
1690C2×C4—41no—
1691C2×C4—41no—
1692C2×C4—41no—
1693C2×C4—41no—
1694C2×C4—41no—
1695C2×C4—41no—
1696C2×C4—41no—
1697C2×C4—41no—
1698C2×C4—41no—
1699C2×C4—41no—
1700C2×C4—41no—
1701C2×C4—41no—
1702C2×C4—41no—
1703C2×C4—41no—
1704C2×C4—41no—
1705C2×C4—84no—
1706C2×C4—84no—
1707C2×C4—162no—
1708C2×C4—162no—
1709C2×C4D4212yes—
1710C2×C4#57612yes—
1711C2×C4#57612yes—
1712C2×C4C23×D411yescharacteristic
1713C2×C4C2×H(5,𝔽2)11yescharacteristic
1714C2×C4C2×H(5,𝔽2)11yescharacteristic
1715C2×C4C2×H(5,𝔽2)11yescharacteristic
1716C2×C4C2×H(5,𝔽2)11yescharacteristic
1717C2×C4C2×H(5,𝔽2)11yescharacteristic
1718C8—22no—
1719C8—22no—
1720C8—41no—
1721C8—41no—
1722C8—41no—
1723C8—41no—
1724C8—41no—
1725C8—41no—
1726C22—22no—
1727C22—22no—
1728C22—22no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—42no—
1734C22—42no—
1735C22—42no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—42no—
1740C22—42no—
1741C22—42no—
1742C22—41no—
1743C22—42no—
1744C22—42no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—42no—
1751C22—42no—
1752C22—42no—
1753C22—41no—
1754C22—41no—
1755C22—42no—
1756C22—41no—
1757C22—41no—
1758C22—41no—
1759C22—42no—
1760C22—41no—
1761C22—41no—
1762C22—41no—
1763C22—41no—
1764C22—42no—
1765C22—41no—
1766C22—41no—
1767C22—42no—
1768C22—41no—
1769C22—81no—
1770C22—81no—
1771C22—81no—
1772C22—81no—
1773C22—81no—
1774C22—81no—
1775C22—81no—
1776C22—81no—
1777C22—81no—
1778C22—81no—
1779C22—81no—
1780C22—81no—
1781C22—81no—
1782C22—81no—
1783C22—81no—
1784C22—81no—
1785C22—81no—
1786C22—81no—
1787C22—81no—
1788C22—81no—
1789C22—81no—
1790C22—81no—
1791C22—81no—
1792C22—81no—
1793C22—81no—
1794C22—81no—
1795C22—81no—
1796C22—81no—
1797C22—81no—
1798C22—81no—
1799C22—81no—
1800C22—81no—
1801C22—81no—
1802C22—81no—
1803C22—168no—
1804C22—168no—
1805C22—168no—
1806C22—168no—
1807C22—168no—
1808C22C2×D4211yescharacteristic
1809C22#348411yescharacteristic
1810C22#348411yescharacteristic
1811C22C2×#57611yescharacteristic
1812C22C2×#57611yescharacteristic
1813C22#358511yescharacteristic
1814C22#358511yescharacteristic
1815C4—22no—
1816C4—24no—
1817C4—22no—
1818C4—22no—
1819C4—41no—
1820C4—41no—
1821C4—41no—
1822C4—41no—
1823C4—41no—
1824C4—41no—
1825C4—41no—
1826C4—81no—
1827C4—81no—
1828C4—81no—
1829C4—81no—
1830C4—81no—
1831C4—81no—
1832C4—81no—
1833C4—81no—
1834C4C2×#53411yescharacteristic
1835C4#348411yescharacteristic
1836C4#353211yescharacteristic
1837C4#353211yescharacteristic
1838C2—42no—
1839C2—81no—
1840C2—81no—
1841C2—81no—
1842C2—82no—
1843C2—82no—
1844C2—82no—
1845C2—82no—
1846C2—82no—
1847C2—161no—
1848C2—161no—
1849C2#3764411yescharacteristic
1850C2#6107211yescharacteristic
1851C2#6109311yescharacteristic
1852C2#6161711yescharacteristic
1853C2#6165311yescharacteristic
1854C2#6166111yescharacteristic
1855C2#6168811yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2388 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3274C2semidirect
2. C2×#3008C2semidirect
3. #42420C2semidirect
4. #36091C2semidirect
5. #32884C2semidirect
6. #31064C2semidirect
7. #31056C2semidirect
8. #31000C2semidirect
9. #30984C2semidirect
10. #30444C2semidirect
11. #30444C2semidirect
12. #30416C2semidirect
13. #30412C2semidirect
14. #29745C2semidirect
15. #29602C2semidirect
16. #28353C2semidirect
17. #28110C2semidirect
18. #25179C2semidirect
19. #25159C2semidirect
20. #24900C2semidirect
21. #24896C2semidirect
22. #24535C2semidirect
23. #24354C2semidirect
24. #24250C2semidirect
25. #24238C2semidirect
26. #24034C2semidirect
27. #23869C2semidirect
28. #23869C2semidirect
29. #23848C2semidirect
30. #22443C2semidirect
31. #22039C2semidirect
32. C22×H(5,𝔽2)C22semidirect
34. C22×AGL(1,ℤ/8)C22semidirect
37. C2×#550C22semidirect
38. C2×#550C22semidirect
39. C2×D42C22semidirect
42. C2×#493C22semidirect
43. C2×#482C22semidirect
44. C2×#469C22semidirect
45. C2×#469C22semidirect
46. C2×#460C22semidirect
47. C2×#459C22semidirect
48. C2×#459C22semidirect
49. C2×#459C22semidirect
54. C2×#449C22semidirect
55. C2×#449C22semidirect
56. C2×#449C22semidirect
57. C2×#449C22semidirect
58. C2×#449C22semidirect
62. C2×#447C22semidirect
63. C2×#447C22semidirect
64. C2×#447C22semidirect
65. C2×#447C22semidirect
66. C2×#447C22semidirect
67. C2×#447C22semidirect
68. C2×#447C22semidirect
69. C2×#447C22semidirect
70. C2×#440C22semidirect
71. C2×C4×SD16C22semidirect
72. C2×C4×SD16C22semidirect
73. C2×#436C22semidirect
74. C2×#418C22semidirect
75. C2×#416C22semidirect
76. C2×#408C22semidirect
85. #2615C22semidirect
87. #2537C22semidirect
88. #2535C22semidirect
89. #2500C22semidirect
90. #2485C22semidirect
94. #2433C22semidirect
95. #2433C22semidirect
96. #2433C22semidirect
97. #2428C22semidirect
98. #2428C22semidirect
99. #2422C22semidirect
100. #2420C22semidirect
106. #2408C22semidirect
107. #2408C22semidirect
108. #2408C22semidirect
109. #2408C22semidirect
112. #2341C22semidirect
113. #2341C22semidirect
114. #2341C22semidirect
115. D4×C22⋊C4C22semidirect
116. #2094C22semidirect
117. #2092C22semidirect
118. #2077C22semidirect
119. #2077C22semidirect
120. #2073C22semidirect
121. #2071C22semidirect
122. #2067C22semidirect
123. #2065C22semidirect
124. #2054C22semidirect
125. #2054C22semidirect
126. #2054C22semidirect
127. #2054C22semidirect
128. #2041C22semidirect
129. #2041C22semidirect
130. #2034C22semidirect
131. #2034C22semidirect
132. #2034C22semidirect
133. #2034C22semidirect
134. #2034C22semidirect
135. #2034C22semidirect
136. #2033C22semidirect
137. #2033C22semidirect
138. #2033C22semidirect
139. #2033C22semidirect
140. #2033C22semidirect
141. #2033C22semidirect
142. #2011C22semidirect
143. #2011C22semidirect
144. #2011C22semidirect
145. #2011C22semidirect
146. #2011C22semidirect
147. #2011C22semidirect
148. #1999C22semidirect
149. #1999C22semidirect
150. #1999C22semidirect
151. #1999C22semidirect
152. #1999C22semidirect
153. #1999C22semidirect
154. #1999C22semidirect
155. #1999C22semidirect
156. #1972C22semidirect
157. #1972C22semidirect
158. #1970C22semidirect
159. #1970C22semidirect
160. #1961C22semidirect
161. #1957C22semidirect
162. #1955C22semidirect
163. #1954C22semidirect
164. #1934C22semidirect
165. #1934C22semidirect
166. #1924C22semidirect
167. #1923C22semidirect
168. #1923C22semidirect
169. #1923C22semidirect
170. #1895C22semidirect
171. #1895C22semidirect
172. #1893C22semidirect
173. #1893C22semidirect
174. #1880C22semidirect
175. #1880C22semidirect
176. #1880C22semidirect
177. #1880C22semidirect
178. #1879C22semidirect
179. #1879C22semidirect
180. #1879C22semidirect
181. #1879C22semidirect
182. #1879C22semidirect
183. #1879C22semidirect
184. #1870C22semidirect
185. #1870C22semidirect
186. #1869C22semidirect
187. #1865C22semidirect
188. #1863C22semidirect
189. #1850C22semidirect
190. #1825C22semidirect
191. #1809C22semidirect
192. #1805C22semidirect
193. #1803C22semidirect
194. #1788C22semidirect
195. #1788C22semidirect
196. #1788C22semidirect
197. #1788C22semidirect
198. #1788C22semidirect
199. #1786C22semidirect
200. #1786C22semidirect
201. #1786C22semidirect
202. #1786C22semidirect
203. #1780C22semidirect
204. #1753C22semidirect
231. C2×AGL(1,ℤ/8)D4semidirect

Maximal subgroups

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

subgroupindex
C2×#32742
C2×#30082
#424202
#360912
#328842
#310642
#310562
#310002
#309842
#304442
#304162
#304122
#297452
#296022
#283532
#281102
#251792
#251592
#249002
#248962
#245352
#243542
#242502
#242382
#240342
#238692
#238482
#224432
#220392