Finite Group Databasebeta

← #7563363

Subgroups — #7563363

Order 512.

2955 conjugacy classes of subgroups.

The subgroup lattice has 1833 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3273C211yesmaximal, characteristic, complemented
2C2×#3272C211yesmaximal, characteristic, complemented
3C2×#3268C211yesmaximal, characteristic, complemented
4C2×#3267C211yesmaximal, characteristic, complemented
5#44932C211yesmaximal, characteristic, complemented
6#36060C211yesmaximal, characteristic, complemented
7#30514C211yesmaximal, characteristic, complemented
8#30513C211yesmaximal, characteristic, complemented
9#30510C211yesmaximal, characteristic, complemented
10#30501C211yesmaximal, characteristic, complemented
11#28455C211yesmaximal, characteristic, complemented
12#28453C211yesmaximal, characteristic, complemented
13#25769C211yesmaximal, characteristic, complemented
14#25763C211yesmaximal, characteristic, complemented
15#25762C211yesmaximal, characteristic, complemented
16#25755C211yesmaximal, characteristic, complemented
17#25400C211yesmaximal, characteristic, complemented
18#25397C211yesmaximal, characteristic, complemented
19#25393C211yesmaximal, characteristic, complemented
20#25391C211yesmaximal, characteristic, complemented
21#24257C211yesmaximal, characteristic, complemented
22#24253C211yesmaximal, characteristic, complemented
23#24245C211yesmaximal, characteristic, complemented
24#24237C211yesmaximal, characteristic, complemented
25#23864C211yesmaximal, characteristic, complemented
26#23863C211yesmaximal, characteristic, complemented
27#23861C211yesmaximal, characteristic, complemented
28#23853C211yesmaximal, characteristic, complemented
29#23178C211yesmaximal, characteristic, complemented
30#21513C211yesmaximal, characteristic, complemented
31#21509C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic
33C22×AGL(1,ℤ/8)C2211yescharacteristic
34C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
35C22×#135C2211yescharacteristic, complemented
36C2×#550C2211yescharacteristic
37C2×#547C2211yescharacteristic
38C2×#547C2211yescharacteristic, complemented
39C2×#547C2211yescharacteristic, complemented
40C2×#546C2211yescharacteristic
41C2×#546C2211yescharacteristic, complemented
42C2×#546C2211yescharacteristic, complemented
43C2×#546C2211yescharacteristic, complemented
44C2×#546C2211yescharacteristic, complemented
45C2×D42C2211yescharacteristic, complemented
46#3273—28no—
47#3272—28no—
48#3268—28no—
49#3267—28no—
50C2×#497C2211yescharacteristic, complemented
51C2×#496C2211yescharacteristic
52C2×#495C2211yescharacteristic
53C2×#492C2211yescharacteristic, complemented
54C2×#470C2211yescharacteristic, complemented
55C2×#468C2211yescharacteristic
56C2×#468C2211yescharacteristic, complemented
57C2×#468C2211yescharacteristic, complemented
58C2×#468C2211yescharacteristic, complemented
59C2×#468C2211yescharacteristic, complemented
60C2×#466C2211yescharacteristic, complemented
61C2×#465C2211yescharacteristic, complemented
62C2×#464C2211yescharacteristic, complemented
63C2×#462C2211yescharacteristic, complemented
64C2×#463C2211yescharacteristic
65C2×#463C2211yescharacteristic
66C2×#463C2211yescharacteristic, complemented
67C2×#463C2211yescharacteristic, complemented
68C2×#461C2211yescharacteristic, complemented
69C2×#461C2211yescharacteristic, complemented
70C2×#461C2211yescharacteristic, complemented
71C2×#459C2211yescharacteristic
72C2×#452C2211yescharacteristic, complemented
73C2×#452C2211yescharacteristic, complemented
74C2×#452C2211yescharacteristic, complemented
75C2×#452C2211yescharacteristic, complemented
76C2×#452C2211yescharacteristic, complemented
77C2×#452C2211yescharacteristic, complemented
78C2×#452C2211yescharacteristic, complemented
79C2×#449C2211yescharacteristic
80C2×#449C2211yescharacteristic
81C2×#449C2211yescharacteristic
82C2×#449C2211yescharacteristic, complemented
83C2×#449C2211yescharacteristic, complemented
84C2×#450C2211yescharacteristic, complemented
85C2×#450C2211yescharacteristic, complemented
86C2×#450C2211yescharacteristic, complemented
87C2×#450C2211yescharacteristic, complemented
88C2×#447C2211yescharacteristic
89C2×#447C2211yescharacteristic
90C2×#447C2211yescharacteristic
91C2×#447C2211yescharacteristic, complemented
92C2×#442C2211yescharacteristic, complemented
93C2×#440C2211yescharacteristic, complemented
94C2×C4×D8C2211yescharacteristic
95C2×C4×D8C2211yescharacteristic, complemented
96C2×#436C2211yescharacteristic, complemented
97C2×#436C2211yescharacteristic, complemented
98C2×#435C2211yescharacteristic, complemented
99C2×#435C2211yescharacteristic, complemented
100#2671—21no—
101#2671—21no—
102#2669—21no—
103#2669—21no—
104#2658C2211yescharacteristic, complemented
105#2656—21no—
106#2542C2211yescharacteristic, complemented
107#2542C2211yescharacteristic, complemented
108#2542C2211yescharacteristic, complemented
109#2540C2211yescharacteristic
110#2540C2211yescharacteristic, complemented
111#2540C2211yescharacteristic, complemented
112#2539—21no—
113#2539—21no—
114#2539—21no—
115#2537C2211yescharacteristic
116#2537C2211yescharacteristic, complemented
117#2536C2211yescharacteristic, complemented
118#2535C2211yescharacteristic
119#2501—21no—
120#2501—21no—
121#2501—21no—
122#2418—21no—
123#2418—21no—
124#2410—21no—
125#2410—21no—
126#2408C2211yescharacteristic
127#2408C2211yescharacteristic, complemented
128#2407C2211yescharacteristic
129#2407C2211yescharacteristic, complemented
130#2397C2211yescharacteristic
131C2×#399—21no—
132#2328C2211yescharacteristic, complemented
133#2326C2211yescharacteristic, complemented
134#2275C2211yescharacteristic, complemented
135#2036C2211yescharacteristic, complemented
136#2036C2211yescharacteristic, complemented
137#2036C2211yescharacteristic, complemented
138#2036C2211yescharacteristic, complemented
139#2036C2211yescharacteristic, complemented
140#2035C2211yescharacteristic, complemented
141#2034C2211yescharacteristic, complemented
142#2033C2211yescharacteristic, complemented
143#2016C2211yescharacteristic, complemented
144#2015C2211yescharacteristic, complemented
145#2013C2211yescharacteristic, complemented
146#2013C2211yescharacteristic, complemented
147#2013C2211yescharacteristic, complemented
148#2012C2211yescharacteristic
149#2012C2211yescharacteristic, complemented
150#2012C2211yescharacteristic, complemented
151#2001C2211yescharacteristic, complemented
152#2001C2211yescharacteristic, complemented
153#2001C2211yescharacteristic, complemented
154#2000C2211yescharacteristic
155#2000C2211yescharacteristic
156#2000C2211yescharacteristic, complemented
157#2000C2211yescharacteristic, complemented
158#2000C2211yescharacteristic, complemented
159#2000C2211yescharacteristic, complemented
160#2000C2211yescharacteristic, complemented
161#2000C2211yescharacteristic, complemented
162#2000C2211yescharacteristic, complemented
163#2000C2211yescharacteristic, complemented
164#1999C2211yescharacteristic
165#1999C2211yescharacteristic
166#1999C2211yescharacteristic
167#1983C2211yescharacteristic, complemented
168#1982C2211yescharacteristic, complemented
169#1960C2211yescharacteristic, complemented
170#1959C2211yescharacteristic, complemented
171#1958C2211yescharacteristic, complemented
172#1956C2211yescharacteristic, complemented
173#1955C2211yescharacteristic, complemented
174#1955C2211yescharacteristic, complemented
175#1954C2211yescharacteristic, complemented
176#1954C2211yescharacteristic, complemented
177#1949C2211yescharacteristic, complemented
178#1947C2211yescharacteristic, complemented
179#1928C2211yescharacteristic, complemented
180#1926C2211yescharacteristic, complemented
181#1925C2211yescharacteristic, complemented
182#1925C2211yescharacteristic, complemented
183#1895C2211yescharacteristic, complemented
184#1894C2211yescharacteristic, complemented
185#1894C2211yescharacteristic, complemented
186#1892C2211yescharacteristic, complemented
187#1879C2211yescharacteristic
188#1879C2211yescharacteristic, complemented
189#1879C2211yescharacteristic, complemented
190#1877C2211yescharacteristic, complemented
191#1870C2211yescharacteristic, complemented
192#1870C2211yescharacteristic, complemented
193#1870C2211yescharacteristic, complemented
194#1869C2211yescharacteristic, complemented
195#1804C2211yescharacteristic, complemented
196#1802C2211yescharacteristic, complemented
197#1788C2211yescharacteristic, complemented
198#1788C2211yescharacteristic, complemented
199#1788C2211yescharacteristic, complemented
200#1786C2211yescharacteristic, complemented
201#1768C2211yescharacteristic, complemented
202#1768C2211yescharacteristic, complemented
203#1762C2211yescharacteristic, complemented
204#1762C2211yescharacteristic, complemented
205C4×#103C2211yescharacteristic, complemented
206C4×#102C2211yescharacteristic, complemented
207C22×#41C2311yescharacteristic
208C22×#41C2311yescharacteristic
209C22×#41C2311yescharacteristic
210C22×#41C2311yescharacteristic
211C22×#41C2311yescharacteristic
212C23×D4—21no—
213C23×D4C2311yescharacteristic
214C23×D4C2311yescharacteristic
215C23×D4C2311yescharacteristic
216C2×AGL(1,ℤ/8)—24no—
217C2×AGL(1,ℤ/8)—24no—
218C2×AGL(1,ℤ/8)—24no—
219C2×AGL(1,ℤ/8)—24no—
220C2×AGL(1,ℤ/8)—24no—
221C2×AGL(1,ℤ/8)—24no—
222C2×AGL(1,ℤ/8)—42no—
223C2×AGL(1,ℤ/8)—42no—
224C2×AGL(1,ℤ/8)—42no—
225C2×#135—24no—
226C2×#135—24no—
227C2×#135—42no—
228C22×Q16C2311yescharacteristic
229C22×Q16C2311yescharacteristic
230C22×Q16C2311yescharacteristic
231C22×SD16C2311yescharacteristic
232C22×SD16C2311yescharacteristic
233C22×SD16C2311yescharacteristic
234C22×SD16C2311yescharacteristic
235C22×SD16C2311yescharacteristic
236C22×SD16C2311yescharacteristic
237C22×SD16C2311yescharacteristic
238C22×SD16C2311yescharacteristic
239C22×SD16C2311yescharacteristic
240C22×SD16C2311yescharacteristic
241C22×SD16C2311yescharacteristic
242C22×D8C2311yescharacteristic
243C22×D8C2311yescharacteristic
244C22×D8C2311yescharacteristic
245C22×D8C2311yescharacteristic
246C22×D8C2311yescharacteristic
247C22×D8C2311yescharacteristic
248C22×M16C2311yescharacteristic
249C22×M16C2311yescharacteristic
250C22×M16C2311yescharacteristic
251C23×C8C2311yescharacteristic
252#550—24no—
253#550—42no—
254#547—24no—
255#547—24no—
256#547—42no—
257#547—42no—
258#547—42no—
259#547—42no—
260#546—24no—
261#546—24no—
262#546—24no—
263#546—24no—
264#546—42no—
265#546—42no—
266#546—42no—
267#546—42no—
268#546—42no—
269#546—42no—
270D42—24no—
271D42—42no—
272C2×C4⋊Q8C2311yescharacteristic
273C2×C4⋊Q8C2311yescharacteristic
274C2×C4⋊Q8C2311yescharacteristic
275C2×#127—21no—
276C2×#127C2311yescharacteristic
277C2×#124C2311yescharacteristic
278C2×#124C2311yescharacteristic
279C2×#124C2311yescharacteristic
280C2×#124C2311yescharacteristic
281C2×#123—21no—
282C2×#123—21no—
283C2×#123—21no—
284C2×#123—21no—
285C2×#123—21no—
286C2×#123—21no—
287C2×#123—21no—
288C2×#123—21no—
289C2×#123—21no—
290C2×#123—21no—
291C2×#123—21no—
292C2×C22⋊Q8C2311yescharacteristic
293C2×C22⋊Q8C2311yescharacteristic
294C2×C22⋊Q8C2311yescharacteristic
295C2×C22⋊Q8C2311yescharacteristic
296C2×C22⋊Q8C2311yescharacteristic
297C2×C22⋊Q8C2311yescharacteristic
298C2×C22⋊Q8C2311yescharacteristic
299C2×C22⋊Q8C2311yescharacteristic
300C2×C22⋊Q8C2311yescharacteristic
301C2×C22⋊Q8C2311yescharacteristic
302C2×C22⋊Q8C2311yescharacteristic
303C2×#121—21no—
304C2×#121—21no—
305C2×#121—21no—
306C2×#121—21no—
307C2×#121—21no—
308C2×#121—21no—
309C2×#121—21no—
310C2×#121—21no—
311C2×#121—21no—
312C2×#121—21no—
313C2×#121—21no—
314C2×#121—21no—
315C2×#121—21no—
316C2×#121C2311yescharacteristic
317C2×#121C2311yescharacteristic
318C2×#121C2311yescharacteristic
319C2×#121C2311yescharacteristic
320C2×#121C2311yescharacteristic
321C2×#121C2311yescharacteristic
322C2×#121C2311yescharacteristic
323C2×#121C2311yescharacteristic
324C2×#121C2311yescharacteristic
325C2×#120—21no—
326C2×#120—21no—
327C2×#120—21no—
328C2×#120—21no—
329C2×#120—21no—
330C2×#120—21no—
331C2×#120—21no—
332C2×#120—21no—
333C2×#120—21no—
334C2×C4×Q8C2311yescharacteristic
335C2×C4×D4—21no—
336C2×C4×D4C2311yescharacteristic
337C2×C4×D4C2311yescharacteristic
338C2×C4×D4C2311yescharacteristic
339C2×C4×D4C2311yescharacteristic
340C2×C4×D4C2311yescharacteristic
341C2×C4×D4C2311yescharacteristic
342C2×C4×D4C2311yescharacteristic
343C2×C4×D4C2311yescharacteristic
344C2×C4×D4C2311yescharacteristic
345C2×C4×D4C2311yescharacteristic
346C2×C4×D4C2311yescharacteristic
347C2×C4×D4C2311yescharacteristic
348C22×C4⋊C4—21no—
349C22×C4⋊C4—21no—
350C22×C4⋊C4—21no—
351C22×C22⋊C4—21no—
352C22×C22⋊C4—21no—
353C22×C22⋊C4—21no—
354C22×C22⋊C4—21no—
355C22×C22⋊C4—21no—
356#497—24no—
357#496—24no—
358#495—24no—
359#492—24no—
360#470—24no—
361#468—24no—
362#468—24no—
363#468—24no—
364#468—24no—
365#468—24no—
366#466—24no—
367#465—24no—
368#464—24no—
369#463—24no—
370#463—42no—
371#463—42no—
372#463D418yescomplemented
373#462—42no—
374#461—24no—
375#461—24no—
376#461—42no—
377#459D418yescomplemented
378#452—24no—
379#452—24no—
380#452—24no—
381#452—24no—
382#452—24no—
383#452—42no—
384#452—42no—
385#450—24no—
386#450—24no—
387#450—24no—
388#450—42no—
389#449—24no—
390#449—24no—
391#449—24no—
392#449—24no—
393#449—24no—
394#447—24no—
395#447—24no—
396#447—24no—
397#447—42no—
398#442—24no—
399#440—24no—
400C4×D8—24no—
401C4×D8—24no—
402#436—24no—
403#436—24no—
404#435—24no—
405#435—24no—
406C2×#107C2311yescharacteristic
407C2×#107C2311yescharacteristic
408C2×#107C2311yescharacteristic
409C2×#106C2311yescharacteristic
410C2×C4⋊C8C2311yescharacteristic
411C2×C4⋊C8C2311yescharacteristic
412C2×C4⋊C8C2311yescharacteristic
413C2×C4⋊C8C2311yescharacteristic
414C2×#103C2311yescharacteristic
415C2×#103C2311yescharacteristic
416C2×#103C2311yescharacteristic
417C2×#103C2311yescharacteristic
418C2×#103C2311yescharacteristic
419C2×#103C2311yescharacteristic
420C2×#103C2311yescharacteristic
421C2×#103C2311yescharacteristic
422C2×#103C2311yescharacteristic
423C2×#103C2311yescharacteristic
424C2×#103C2311yescharacteristic
425C2×#103C2311yescharacteristic
426C2×#103C2311yescharacteristic
427C2×#103C2311yescharacteristic
428C2×#103C2311yescharacteristic
429C2×#102C2311yescharacteristic
430C2×#102C2311yescharacteristic
431C2×#102C2311yescharacteristic
432C2×#102C2311yescharacteristic
433C2×#102C2311yescharacteristic
434C2×#102C2311yescharacteristic
435C2×#102C2311yescharacteristic
436C2×#102C2311yescharacteristic
437C2×#102C2311yescharacteristic
438C2×#102C2311yescharacteristic
439C2×#102C2311yescharacteristic
440C2×#102C2311yescharacteristic
441C2×#102C2311yescharacteristic
442C2×#102C2311yescharacteristic
443C2×#102C2311yescharacteristic
444C2×#102C2311yescharacteristic
445C2×#102C2311yescharacteristic
446C2×C22⋊C8C2311yescharacteristic
447C2×C22⋊C8C2311yescharacteristic
448C2×C22⋊C8C2311yescharacteristic
449C2×C22⋊C8C2311yescharacteristic
450C2×C22⋊C8C2311yescharacteristic
451C2×C22⋊C8C2311yescharacteristic
452C2×C22⋊C8C2311yescharacteristic
453C2×C22⋊C8C2311yescharacteristic
454C2×C22⋊C8C2311yescharacteristic
455C2×C22⋊C8C2311yescharacteristic
456C2×C22⋊C8C2311yescharacteristic
457C2×C22⋊C8C2311yescharacteristic
458C2×#97C2311yescharacteristic
459C2×#97C2311yescharacteristic
460C2×C4×C8C2311yescharacteristic
461C2×C4×C8C2311yescharacteristic
462#399—21no—
463#399—21no—
464#399—21no—
465#399—21no—
466#399—21no—
467#399—21no—
468#399—21no—
469#399—21no—
470#399—21no—
471#399—21no—
472#399—21no—
473#399—21no—
474#399—21no—
475#399D411yescharacteristic
476#399D411yescharacteristic
477#399D411yescharacteristic
478#399D411yescharacteristic
479#398—21no—
480#397—21no—
481#394—21no—
482#394—21no—
483#394—21no—
484#394—21no—
485#394—21no—
486#394—21no—
487#394—21no—
488#394—21no—
489#394—21no—
490#392—21no—
491#392—21no—
492#392—21no—
493#392—21no—
494#392—21no—
495#392—21no—
496#392—21no—
497#392—21no—
498#392D411yescharacteristic
499#392D411yescharacteristic
500#392D411yescharacteristic
501#392D411yescharacteristic
502#391C2311yescharacteristic
503#390—21no—
504#390—21no—
505#390—21no—
506#390—21no—
507#390—21no—
508#390—21no—
509#390—21no—
510#390—21no—
511#390—21no—
512#390C2311yescharacteristic
513#390C2311yescharacteristic
514#390C2311yescharacteristic
515#388—21no—
516#388—21no—
517#388—21no—
518#388—21no—
519#386—21no—
520#386—21no—
521#386—21no—
522#386—21no—
523#386—21no—
524#386—21no—
525#386—21no—
526#386—21no—
527#385—21no—
528#385—21no—
529#385—21no—
530#385—21no—
531#384—21no—
532#384—21no—
533#384—21no—
534#384C2311yescharacteristic
535#382C2311yescharacteristic
536#380—21no—
537#380—21no—
538#380C2311yescharacteristic
539#380C2311yescharacteristic
540#380C2311yescharacteristic
541#380C2311yescharacteristic
542#379—21no—
543#379—21no—
544C4×C4⋊C4C2311yescharacteristic
545C4×C4⋊C4C2311yescharacteristic
546C4×C4⋊C4C2311yescharacteristic
547C4×C22⋊C4—21no—
548C4×C22⋊C4—21no—
549C4×C22⋊C4—21no—
550#376C2311yescharacteristic
551C2×#95—21no—
552#340C2311yescharacteristic
553#340C2311yescharacteristic
554#340C2311yescharacteristic
555#340C2311yescharacteristic
556#340C2311yescharacteristic
557#340C2311yescharacteristic
558#340C2311yescharacteristic
559#340C2311yescharacteristic
560#336C2311yescharacteristic
561#336C2311yescharacteristic
562#336C2311yescharacteristic
563#336C2311yescharacteristic
564C25—21no—
565C25—21no—
566C25—21no—
567C2×#41—22no—
568C2×#41—22no—
569C2×#41—22no—
570C2×#41—22no—
571C2×#41—22no—
572C2×#41—22no—
573C2×#41—22no—
574C2×#41—22no—
575C2×#41—22no—
576C2×#41—22no—
577C2×#41—22no—
578C2×#41—22no—
579C2×#41—22no—
580C2×#41—41no—
581C2×#41—41no—
582C2×#41—41no—
583C2×#41—41no—
584C2×#41—41no—
585C2×#41—41no—
586C2×#41—41no—
587C2×#41—41no—
588C2×#41—41no—
589C2×#41—41no—
590C2×#41—41no—
591C2×#41—41no—
592C2×#41—41no—
593C2×#41—41no—
594C2×#41—41no—
595C2×#41—41no—
596C2×#41—41no—
597C22×Q8C2411yescharacteristic
598C22×Q8C2411yescharacteristic
599C22×Q8C2411yescharacteristic
600C22×Q8C2411yescharacteristic
601C22×D4—22no—
602C22×D4—22no—
603C22×D4—22no—
604C22×D4—22no—
605C22×D4—22no—
606C22×D4—22no—
607C22×D4—22no—
608C22×D4—21no—
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—21no—
623C22×D4—21no—
624C22×D4—21no—
625C22×D4—21no—
626C22×D4—21no—
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—44no—
639C22×D4—82no—
640C22×D4—82no—
641C22×D4C2×D411yescharacteristic
642C22×D4C2×D411yescharacteristic
643C22×D4C2×D411yescharacteristic
644C22×D4C2×D411yescharacteristic
645C22×D4C2×D411yescharacteristic
646C22×D4C2×D411yescharacteristic
647C22×D4C2411yescharacteristic
648C22×D4C2411yescharacteristic
649C22×D4C2411yescharacteristic
650C22×D4C2411yescharacteristic
651C22×D4C2411yescharacteristic
652C23×C4—21no—
653C23×C4—21no—
654C23×C4—21no—
655C23×C4—21no—
656C23×C4—21no—
657C23×C4—21no—
658C23×C4—21no—
659C23×C4—21no—
660C23×C4—21no—
661C23×C4—21no—
662C23×C4—21no—
663C23×C4C2411yescharacteristic
664C23×C4C2411yescharacteristic
665C23×C4C2411yescharacteristic
666C23×C4C2411yescharacteristic
667AGL(1,ℤ/8)—416no—
668AGL(1,ℤ/8)—416no—
669AGL(1,ℤ/8)—416no—
670#135—416no—
671C2×Q16—22no—
672C2×Q16—22no—
673C2×Q16—22no—
674C2×Q16—22no—
675C2×Q16—41no—
676C2×Q16—41no—
677C2×Q16—41no—
678C2×Q16—41no—
679C2×Q16—41no—
680C2×SD16—22no—
681C2×SD16—22no—
682C2×SD16—22no—
683C2×SD16—22no—
684C2×SD16—22no—
685C2×SD16—22no—
686C2×SD16—22no—
687C2×SD16—22no—
688C2×SD16—22no—
689C2×SD16—22no—
690C2×SD16—22no—
691C2×SD16—22no—
692C2×SD16—22no—
693C2×SD16—22no—
694C2×SD16—22no—
695C2×SD16—22no—
696C2×SD16—22no—
697C2×SD16—22no—
698C2×SD16—41no—
699C2×SD16—41no—
700C2×SD16—41no—
701C2×SD16—41no—
702C2×SD16—41no—
703C2×SD16—41no—
704C2×SD16—41no—
705C2×SD16—41no—
706C2×SD16—41no—
707C2×SD16—41no—
708C2×SD16—41no—
709C2×SD16—41no—
710C2×SD16—41no—
711C2×SD16—41no—
712C2×SD16C2×D414yescomplemented
713C2×D8—22no—
714C2×D8—22no—
715C2×D8—22no—
716C2×D8—22no—
717C2×D8—22no—
718C2×D8—22no—
719C2×D8—22no—
720C2×D8—22no—
721C2×D8—22no—
722C2×D8—22no—
723C2×D8—41no—
724C2×D8—41no—
725C2×D8—41no—
726C2×D8—41no—
727C2×D8—41no—
728C2×D8C2×D414yes—
729C2×D8C2×D414yes—
730C2×D8C2×D414yes—
731C2×M16—22no—
732C2×M16—22no—
733C2×M16—22no—
734C2×M16—22no—
735C2×M16—22no—
736C2×M16—22no—
737C2×M16—41no—
738C2×M16—41no—
739C2×M16—41no—
740C22×C8—22no—
741C22×C8—22no—
742C22×C8—41no—
743C22×C8C2411yescharacteristic
744C22×C8C2411yescharacteristic
745C22×C8C2411yescharacteristic
746C22×C8C2411yescharacteristic
747C22×C8C2411yescharacteristic
748C22×C8C2411yescharacteristic
749C22×C8C2411yescharacteristic
750C22×C8C2411yescharacteristic
751C4⋊Q8—22no—
752C4⋊Q8—22no—
753C4⋊Q8—22no—
754C4⋊Q8—22no—
755C4⋊Q8—41no—
756C4⋊Q8—41no—
757#127—22no—
758#127—44no—
759#127C2×D414yes—
760#124—22no—
761#124—22no—
762#124—22no—
763#124—22no—
764#124—22no—
765#124—41no—
766#124—41no—
767#124C2×D414yes—
768#123—44no—
769#123—44no—
770#123—44no—
771#123—44no—
772#123—44no—
773#123—44no—
774#123—44no—
775#123—44no—
776#123—44no—
777#123—44no—
778#123—44no—
779C22⋊Q8—22no—
780C22⋊Q8—22no—
781C22⋊Q8—22no—
782C22⋊Q8—22no—
783C22⋊Q8—22no—
784C22⋊Q8—22no—
785C22⋊Q8—22no—
786C22⋊Q8—22no—
787C22⋊Q8—22no—
788C22⋊Q8—22no—
789C22⋊Q8—22no—
790C22⋊Q8—41no—
791C22⋊Q8—41no—
792C22⋊Q8—41no—
793C22⋊Q8—41no—
794C22⋊Q8—41no—
795C22⋊Q8—41no—
796C22⋊Q8—41no—
797C22⋊Q8—41no—
798C22⋊Q8—41no—
799C22⋊Q8—41no—
800C22⋊Q8—41no—
801#121—22no—
802#121—22no—
803#121—22no—
804#121—22no—
805#121—22no—
806#121—22no—
807#121—22no—
808#121—22no—
809#121—22no—
810#121—44no—
811#121—44no—
812#121—44no—
813#121—44no—
814#121—44no—
815#121—44no—
816#121—41no—
817#121—41no—
818#121—41no—
819#121—41no—
820#121—41no—
821#121—41no—
822#121—41no—
823#121—41no—
824#121—41no—
825#121—44no—
826#121—44no—
827#121—44no—
828#121—44no—
829#121—44no—
830#121—82no—
831#121—82no—
832#120—44no—
833#120—44no—
834#120—44no—
835#120—44no—
836#120—44no—
837#120—44no—
838#120—44no—
839#120—82no—
840#120—82no—
841C4×Q8—22no—
842C4×Q8—22no—
843C4×D4—22no—
844C4×D4—22no—
845C4×D4—22no—
846C4×D4—22no—
847C4×D4—22no—
848C4×D4—22no—
849C4×D4—22no—
850C4×D4—22no—
851C4×D4—22no—
852C4×D4—22no—
853C4×D4—22no—
854C4×D4—22no—
855C4×D4—22no—
856C4×D4—22no—
857C4×D4—22no—
858C4×D4—22no—
859C4×D4—22no—
860C4×D4—22no—
861C4×D4—41no—
862C4×D4—41no—
863C4×D4—41no—
864C4×D4—41no—
865C4×D4—44no—
866C4×D4C2×D414yes—
867C4×D4C2×D414yescomplemented
868C2×C4⋊C4—21no—
869C2×C4⋊C4—21no—
870C2×C4⋊C4—21no—
871C2×C4⋊C4—21no—
872C2×C4⋊C4—21no—
873C2×C4⋊C4—21no—
874C2×C4⋊C4—21no—
875C2×C4⋊C4—21no—
876C2×C4⋊C4—21no—
877C2×C4⋊C4—21no—
878C2×C4⋊C4—21no—
879C2×C4⋊C4—21no—
880C2×C4⋊C4—21no—
881C2×C4⋊C4—21no—
882C2×C4⋊C4—21no—
883C2×C4⋊C4—21no—
884C2×C4⋊C4—21no—
885C2×C4⋊C4—21no—
886C2×C4⋊C4—21no—
887C2×C4⋊C4—21no—
888C2×C4⋊C4—44no—
889C2×C4⋊C4—44no—
890C2×C4⋊C4—44no—
891C2×C4⋊C4C2×D411yescharacteristic
892C2×C4⋊C4C2×D411yescharacteristic
893C2×C4⋊C4C2×D411yescharacteristic
894C2×C4⋊C4C2×D411yescharacteristic
895C2×C4⋊C4C2×D411yescharacteristic
896C2×C4⋊C4C2×D411yescharacteristic
897C2×C4⋊C4C2411yescharacteristic
898C2×C4⋊C4C2411yescharacteristic
899C2×C4⋊C4C2411yescharacteristic
900C2×C4⋊C4C2411yescharacteristic
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2411yescharacteristic
904C2×C22⋊C4—21no—
905C2×C22⋊C4—21no—
906C2×C22⋊C4—21no—
907C2×C22⋊C4—21no—
908C2×C22⋊C4—21no—
909C2×C22⋊C4—21no—
910C2×C22⋊C4—21no—
911C2×C22⋊C4—21no—
912C2×C22⋊C4—21no—
913C2×C22⋊C4—21no—
914C2×C22⋊C4—21no—
915C2×C22⋊C4—21no—
916C2×C22⋊C4—21no—
917C2×C22⋊C4—21no—
918C2×C22⋊C4—21no—
919C2×C22⋊C4—21no—
920C2×C22⋊C4—21no—
921C2×C22⋊C4—21no—
922C2×C22⋊C4—21no—
923C2×C22⋊C4—21no—
924C2×C22⋊C4—21no—
925C2×C22⋊C4—21no—
926C2×C22⋊C4—21no—
927C2×C22⋊C4—21no—
928C2×C22⋊C4—21no—
929C2×C22⋊C4—21no—
930C2×C22⋊C4—21no—
931C2×C22⋊C4—21no—
932C2×C22⋊C4—21no—
933C2×C22⋊C4—21no—
934C2×C22⋊C4—21no—
935C2×C22⋊C4—21no—
936C2×C22⋊C4—21no—
937C2×C22⋊C4—21no—
938C2×C22⋊C4—21no—
939C2×C22⋊C4—21no—
940C2×C22⋊C4—21no—
941C2×C22⋊C4—21no—
942C2×C22⋊C4—21no—
943C2×C22⋊C4—21no—
944C2×C22⋊C4—21no—
945C2×C22⋊C4—21no—
946C2×C22⋊C4—21no—
947C2×C22⋊C4—21no—
948C2×C22⋊C4—44no—
949C2×C22⋊C4—44no—
950C2×C22⋊C4—44no—
951C2×C22⋊C4—44no—
952C2×C22⋊C4—44no—
953C2×C22⋊C4C2×D411yescharacteristic
954C2×C22⋊C4C2×D411yescharacteristic
955C2×C22⋊C4C2×D411yescharacteristic
956C2×C22⋊C4C2×D411yescharacteristic
957C2×C22⋊C4C2×D411yescharacteristic
958C2×C22⋊C4C2×D411yescharacteristic
959C2×C22⋊C4C2×D411yescharacteristic
960C2×C22⋊C4C2×D411yescharacteristic
961C2×C22⋊C4C2×D411yescharacteristic
962C2×C22⋊C4C2×D411yescharacteristic
963C2×C22⋊C4C2×D411yescharacteristic
964C2×C22⋊C4C2×D411yescharacteristic
965C2×C42—21no—
966C2×C42—21no—
967C2×C42—21no—
968C2×C42—21no—
969C2×C42C2411yescharacteristic
970C2×C42C2411yescharacteristic
971C2×C42C2411yescharacteristic
972#107—22no—
973#107—22no—
974#107—22no—
975#106—22no—
976C4⋊C8—22no—
977C4⋊C8—22no—
978C4⋊C8C2×D414yes—
979C4⋊C8C2×D414yescomplemented
980#103—22no—
981#103—22no—
982#103—22no—
983#103—22no—
984#103—22no—
985#103—22no—
986#103—22no—
987#103—22no—
988#103—41no—
989#103—41no—
990#103—41no—
991#103—41no—
992#103—41no—
993#103—41no—
994#103C2×D414yescomplemented
995#102—22no—
996#102—22no—
997#102—22no—
998#102—22no—
999#102—22no—
1000#102—22no—
1001#102—22no—
1002#102—22no—
1003#102—22no—
1004#102—22no—
1005#102—22no—
1006#102—22no—
1007#102—41no—
1008#102—41no—
1009#102C2×D414yes—
1010#102C2×D414yes—
1011#102C2×D414yes—
1012C22⋊C8—22no—
1013C22⋊C8—22no—
1014C22⋊C8—22no—
1015C22⋊C8—22no—
1016C22⋊C8—22no—
1017C22⋊C8—22no—
1018C22⋊C8—22no—
1019C22⋊C8—22no—
1020C22⋊C8—41no—
1021C22⋊C8—41no—
1022C22⋊C8—41no—
1023C22⋊C8—41no—
1024#97—22no—
1025#97—22no—
1026C4×C8—22no—
1027C4×C8—22no—
1028#95—21no—
1029#95—21no—
1030#95—21no—
1031#95—21no—
1032#95—21no—
1033#95—21no—
1034#95—21no—
1035#95—21no—
1036#95—21no—
1037#95—21no—
1038#95—21no—
1039#95C2×D411yescharacteristic
1040#95C2×D411yescharacteristic
1041#95C2×D411yescharacteristic
1042#95C2×D411yescharacteristic
1043C24—21no—
1044C24—21no—
1045C24—21no—
1046C24—21no—
1047C24—21no—
1048C24—42no—
1049C24—42no—
1050C24—42no—
1051C24—42no—
1052C24—42no—
1053C24—42no—
1054C24—42no—
1055C24—42no—
1056C24—42no—
1057C24—42no—
1058C24—81no—
1059C24—81no—
1060C24—81no—
1061C24—81no—
1062C24—81no—
1063C24—81no—
1064C24—81no—
1065C24—81no—
1066C24—81no—
1067C24—81no—
1068C24—81no—
1069C24C22×D411yescharacteristic
1070C24C22×D411yescharacteristic
1071C24C22×D411yescharacteristic
1072C24C22×D411yescharacteristic
1073#41—44no—
1074#41—44no—
1075#41—44no—
1076#41—44no—
1077#41—44no—
1078#41—82no—
1079#41—82no—
1080#41—82no—
1081#41—82no—
1082#41—82no—
1083#41—82no—
1084#41—82no—
1085#41—82no—
1086#41—82no—
1087#41—82no—
1088#41—82no—
1089#41—82no—
1090#41—82no—
1091#41—82no—
1092#41—82no—
1093C2×Q8—21no—
1094C2×Q8—21no—
1095C2×Q8—21no—
1096C2×Q8—21no—
1097C2×Q8—21no—
1098C2×Q8—21no—
1099C2×Q8—21no—
1100C2×Q8—21no—
1101C2×Q8—21no—
1102C2×Q8—21no—
1103C2×Q8—21no—
1104C2×Q8—21no—
1105C2×Q8—21no—
1106C2×Q8—21no—
1107C2×Q8—21no—
1108C2×Q8—21no—
1109C2×Q8—21no—
1110C2×Q8—21no—
1111C2×Q8—21no—
1112C2×Q8—21no—
1113C2×Q8—21no—
1114C2×Q8—21no—
1115C2×Q8—21no—
1116C2×Q8C22×D412yes—
1117C2×D4—22no—
1118C2×D4—22no—
1119C2×D4—22no—
1120C2×D4—22no—
1121C2×D4—24no—
1122C2×D4—24no—
1123C2×D4—21no—
1124C2×D4—21no—
1125C2×D4—21no—
1126C2×D4—21no—
1127C2×D4—21no—
1128C2×D4—21no—
1129C2×D4—21no—
1130C2×D4—21no—
1131C2×D4—21no—
1132C2×D4—21no—
1133C2×D4—21no—
1134C2×D4—21no—
1135C2×D4—21no—
1136C2×D4—21no—
1137C2×D4—21no—
1138C2×D4—21no—
1139C2×D4—21no—
1140C2×D4—21no—
1141C2×D4—21no—
1142C2×D4—21no—
1143C2×D4—21no—
1144C2×D4—21no—
1145C2×D4—21no—
1146C2×D4—21no—
1147C2×D4—41no—
1148C2×D4—41no—
1149C2×D4—41no—
1150C2×D4—41no—
1151C2×D4—41no—
1152C2×D4—41no—
1153C2×D4—41no—
1154C2×D4—41no—
1155C2×D4—41no—
1156C2×D4—41no—
1157C2×D4—41no—
1158C2×D4—41no—
1159C2×D4—41no—
1160C2×D4—41no—
1161C2×D4—42no—
1162C2×D4—42no—
1163C2×D4—42no—
1164C2×D4—42no—
1165C2×D4—42no—
1166C2×D4—42no—
1167C2×D4—42no—
1168C2×D4—42no—
1169C2×D4—42no—
1170C2×D4—42no—
1171C2×D4—42no—
1172C2×D4—42no—
1173C2×D4—44no—
1174C2×D4—44no—
1175C2×D4—44no—
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—42no—
1193C2×D4—42no—
1194C2×D4—42no—
1195C2×D4—81no—
1196C2×D4—81no—
1197C2×D4—81no—
1198C2×D4—81no—
1199C2×D4—81no—
1200C2×D4—81no—
1201C2×D4—82no—
1202C2×D4—82no—
1203C2×D4—82no—
1204C2×D4—82no—
1205C2×D4—82no—
1206C2×D4—82no—
1207C2×D4—82no—
1208C2×D4—82no—
1209C2×D4—82no—
1210C2×D4—81no—
1211C2×D4—81no—
1212C2×D4—81no—
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—816no—
1229C2×D4C22×D412yes—
1230C2×D4C22×D412yes—
1231C2×D4C22×D412yes—
1232C2×D4C22×D412yes—
1233C2×D4C22×D412yes—
1234C2×D4H(5,𝔽2)12yes—
1235C22×C4—21no—
1236C22×C4—21no—
1237C22×C4—21no—
1238C22×C4—21no—
1239C22×C4—24no—
1240C22×C4—21no—
1241C22×C4—21no—
1242C22×C4—21no—
1243C22×C4—21no—
1244C22×C4—21no—
1245C22×C4—21no—
1246C22×C4—21no—
1247C22×C4—21no—
1248C22×C4—21no—
1249C22×C4—21no—
1250C22×C4—21no—
1251C22×C4—21no—
1252C22×C4—21no—
1253C22×C4—21no—
1254C22×C4—21no—
1255C22×C4—21no—
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—24no—
1265C22×C4—24no—
1266C22×C4—21no—
1267C22×C4—21no—
1268C22×C4—21no—
1269C22×C4—21no—
1270C22×C4—21no—
1271C22×C4—21no—
1272C22×C4—21no—
1273C22×C4—42no—
1274C22×C4—42no—
1275C22×C4—42no—
1276C22×C4—42no—
1277C22×C4—42no—
1278C22×C4—42no—
1279C22×C4—42no—
1280C22×C4—42no—
1281C22×C4—42no—
1282C22×C4—42no—
1283C22×C4—42no—
1284C22×C4—42no—
1285C22×C4—42no—
1286C22×C4—42no—
1287C22×C4—42no—
1288C22×C4—42no—
1289C22×C4—81no—
1290C22×C4—81no—
1291C22×C4—81no—
1292C22×C4—81no—
1293C22×C4—81no—
1294C22×C4—81no—
1295C22×C4—81no—
1296C22×C4—81no—
1297C22×C4—81no—
1298C22×C4—81no—
1299C22×C4—81no—
1300C22×C4—81no—
1301C22×C4—81no—
1302C22×C4—81no—
1303C22×C4C22×D411yescharacteristic
1304C22×C4C22×D411yescharacteristic
1305C22×C4C22×D411yescharacteristic
1306C22×C4C22×D411yescharacteristic
1307C22×C4C22×D411yescharacteristic
1308C22×C4C22×D411yescharacteristic
1309C22×C4C22×D411yescharacteristic
1310C22×C4C22×D411yescharacteristic
1311C22×C4C22×D411yescharacteristic
1312C22×C4C22×D411yescharacteristic
1313C22×C4C2511yescharacteristic
1314Q16—44no—
1315Q16—82no—
1316Q16—82no—
1317SD16—28no—
1318SD16—44no—
1319SD16—44no—
1320SD16—44no—
1321SD16—44no—
1322SD16—44no—
1323SD16—44no—
1324SD16—82no—
1325SD16—82no—
1326SD16—82no—
1327SD16—82no—
1328D8—28no—
1329D8—28no—
1330D8—28no—
1331D8—44no—
1332D8—82no—
1333D8—82no—
1334M16—44no—
1335M16—44no—
1336M16—44no—
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—21no—
1353C2×C8—21no—
1354C2×C8—21no—
1355C2×C8—21no—
1356C2×C8—21no—
1357C2×C8—44no—
1358C2×C8C22×D412yes—
1359C2×C8C22×D412yes—
1360C2×C8C22×D412yes—
1361C2×C8C22×D412yes—
1362C4⋊C4—22no—
1363C4⋊C4—22no—
1364C4⋊C4—22no—
1365C4⋊C4—22no—
1366C4⋊C4—21no—
1367C4⋊C4—21no—
1368C4⋊C4—21no—
1369C4⋊C4—21no—
1370C4⋊C4—21no—
1371C4⋊C4—21no—
1372C4⋊C4—21no—
1373C4⋊C4—21no—
1374C4⋊C4—21no—
1375C4⋊C4—21no—
1376C4⋊C4—21no—
1377C4⋊C4—41no—
1378C4⋊C4—41no—
1379C4⋊C4—42no—
1380C4⋊C4—42no—
1381C4⋊C4—42no—
1382C4⋊C4—42no—
1383C4⋊C4—42no—
1384C4⋊C4—42no—
1385C4⋊C4—42no—
1386C4⋊C4—42no—
1387C4⋊C4—42no—
1388C4⋊C4—42no—
1389C4⋊C4—42no—
1390C4⋊C4—42no—
1391C4⋊C4—42no—
1392C4⋊C4—42no—
1393C4⋊C4—42no—
1394C4⋊C4—42no—
1395C4⋊C4—42no—
1396C4⋊C4—42no—
1397C4⋊C4—81no—
1398C4⋊C4—81no—
1399C4⋊C4C22×D412yes—
1400C4⋊C4C22×D412yes—
1401C4⋊C4H(5,𝔽2)12yes—
1402C22⋊C4—24no—
1403C22⋊C4—24no—
1404C22⋊C4—24no—
1405C22⋊C4—24no—
1406C22⋊C4—24no—
1407C22⋊C4—22no—
1408C22⋊C4—22no—
1409C22⋊C4—22no—
1410C22⋊C4—22no—
1411C22⋊C4—22no—
1412C22⋊C4—22no—
1413C22⋊C4—22no—
1414C22⋊C4—22no—
1415C22⋊C4—41no—
1416C22⋊C4—41no—
1417C22⋊C4—41no—
1418C22⋊C4—41no—
1419C22⋊C4—42no—
1420C22⋊C4—42no—
1421C22⋊C4—42no—
1422C22⋊C4—42no—
1423C22⋊C4—42no—
1424C22⋊C4—42no—
1425C22⋊C4—42no—
1426C22⋊C4—42no—
1427C22⋊C4—42no—
1428C22⋊C4—42no—
1429C22⋊C4—42no—
1430C22⋊C4—42no—
1431C22⋊C4—42no—
1432C22⋊C4—42no—
1433C22⋊C4—42no—
1434C22⋊C4—42no—
1435C22⋊C4—42no—
1436C22⋊C4—42no—
1437C22⋊C4—42no—
1438C22⋊C4—42no—
1439C22⋊C4—42no—
1440C22⋊C4—42no—
1441C22⋊C4—42no—
1442C22⋊C4—42no—
1443C22⋊C4—42no—
1444C22⋊C4—42no—
1445C22⋊C4—42no—
1446C22⋊C4—42no—
1447C22⋊C4—42no—
1448C22⋊C4—42no—
1449C22⋊C4—42no—
1450C22⋊C4—81no—
1451C22⋊C4—81no—
1452C22⋊C4—81no—
1453C22⋊C4—81no—
1454C22⋊C4—81no—
1455C22⋊C4—81no—
1456C22⋊C4—81no—
1457C22⋊C4—81no—
1458C42—21no—
1459C42—21no—
1460C42—42no—
1461C42—81no—
1462C42—81no—
1463C42—81no—
1464C42C22×D412yes—
1465C42C22×D412yes—
1466C42H(5,𝔽2)12yes—
1467C42H(5,𝔽2)12yes—
1468C23—22no—
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—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—22no—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—21no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—22no—
1497C23—22no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
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—41no—
1529C23—41no—
1530C23—41no—
1531C23—84no—
1532C23—84no—
1533C23—84no—
1534C23—84no—
1535C23—84no—
1536C23—84no—
1537C23—84no—
1538C23—84no—
1539C23—84no—
1540C23—84no—
1541C23—162no—
1542C23—162no—
1543C23—162no—
1544C23—162no—
1545C23—162no—
1546C23—162no—
1547C23—162no—
1548C23—162no—
1549C23—162no—
1550C23—162no—
1551C23—162no—
1552C23C23×D411yescharacteristic
1553Q8—22no—
1554Q8—22no—
1555Q8—41no—
1556Q8—41no—
1557Q8—41no—
1558Q8—41no—
1559Q8—41no—
1560Q8—41no—
1561Q8—41no—
1562Q8—41no—
1563Q8—41no—
1564Q8—41no—
1565Q8—41no—
1566Q8—41no—
1567Q8—41no—
1568Q8—41no—
1569D4—22no—
1570D4—22no—
1571D4—22no—
1572D4—22no—
1573D4—22no—
1574D4—22no—
1575D4—22no—
1576D4—22no—
1577D4—22no—
1578D4—44no—
1579D4—41no—
1580D4—41no—
1581D4—41no—
1582D4—41no—
1583D4—41no—
1584D4—41no—
1585D4—41no—
1586D4—41no—
1587D4—41no—
1588D4—41no—
1589D4—82no—
1590D4—82no—
1591D4—82no—
1592D4—84no—
1593D4—84no—
1594D4—84no—
1595D4—82no—
1596D4—82no—
1597D4—84no—
1598D4—84no—
1599D4—84no—
1600D4—84no—
1601D4—84no—
1602D4—84no—
1603D4—84no—
1604D4—84no—
1605D4—84no—
1606D4—162no—
1607D4—162no—
1608D4—162no—
1609D4—162no—
1610D4—162no—
1611D4—162no—
1612D4—162no—
1613D4D4214yes—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—22no—
1627C2×C4—21no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—22no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—41no—
1645C2×C4—41no—
1646C2×C4—41no—
1647C2×C4—41no—
1648C2×C4—41no—
1649C2×C4—41no—
1650C2×C4—41no—
1651C2×C4—41no—
1652C2×C4—41no—
1653C2×C4—41no—
1654C2×C4—41no—
1655C2×C4—41no—
1656C2×C4—41no—
1657C2×C4—41no—
1658C2×C4—41no—
1659C2×C4—41no—
1660C2×C4—41no—
1661C2×C4—41no—
1662C2×C4—41no—
1663C2×C4—41no—
1664C2×C4—41no—
1665C2×C4—41no—
1666C2×C4—41no—
1667C2×C4—41no—
1668C2×C4—41no—
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—84no—
1690C2×C4—84no—
1691C2×C4—84no—
1692C2×C4—84no—
1693C2×C4—84no—
1694C2×C4—84no—
1695C2×C4—84no—
1696C2×C4—84no—
1697C2×C4—84no—
1698C2×C4—162no—
1699C2×C4—162no—
1700C2×C4D4212yes—
1701C2×C4D4212yes—
1702C2×C4D4212yes—
1703C2×C4D4212yes—
1704C2×C4C23×D411yescharacteristic
1705C2×C4C23×D411yescharacteristic
1706C2×C4C2×H(5,𝔽2)11yescharacteristic
1707C2×C4C2×H(5,𝔽2)11yescharacteristic
1708C2×C4C2×H(5,𝔽2)11yescharacteristic
1709C2×C4C2×H(5,𝔽2)11yescharacteristic
1710C8—22no—
1711C8—22no—
1712C8—22no—
1713C8—22no—
1714C8—41no—
1715C8—41no—
1716C8—41no—
1717C8—41no—
1718C22—24no—
1719C22—42no—
1720C22—42no—
1721C22—42no—
1722C22—42no—
1723C22—42no—
1724C22—42no—
1725C22—41no—
1726C22—41no—
1727C22—42no—
1728C22—42no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—42no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—42no—
1739C22—42no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—42no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—41no—
1751C22—41no—
1752C22—41no—
1753C22—41no—
1754C22—41no—
1755C22—41no—
1756C22—41no—
1757C22—41no—
1758C22—41no—
1759C22—42no—
1760C22—42no—
1761C22—42no—
1762C22—81no—
1763C22—81no—
1764C22—81no—
1765C22—81no—
1766C22—81no—
1767C22—81no—
1768C22—81no—
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—168no—
1782C22—168no—
1783C22—168no—
1784C22C2×D4211yescharacteristic
1785C22C2×D4211yescharacteristic
1786C22#348411yescharacteristic
1787C22#358411yescharacteristic
1788C22#358511yescharacteristic
1789C22#358511yescharacteristic
1790C22#358611yescharacteristic
1791C4—22no—
1792C4—22no—
1793C4—22no—
1794C4—22no—
1795C4—42no—
1796C4—42no—
1797C4—41no—
1798C4—42no—
1799C4—41no—
1800C4—41no—
1801C4—41no—
1802C4—41no—
1803C4—41no—
1804C4—42no—
1805C4—81no—
1806C4—81no—
1807C4—81no—
1808C4—81no—
1809C4—81no—
1810C4—81no—
1811C4—81no—
1812C4C2×D4211yescharacteristic
1813C4#349811yescharacteristic
1814C4#349811yescharacteristic
1815C4#354311yescharacteristic
1816C2—44no—
1817C2—81no—
1818C2—81no—
1819C2—81no—
1820C2—81no—
1821C2—82no—
1822C2—82no—
1823C2—82no—
1824C2—161no—
1825C2#5912611yescharacteristic
1826C2#6105811yescharacteristic
1827C2#6106211yescharacteristic
1828C2#6107311yescharacteristic
1829C2#6107411yescharacteristic
1830C2#6161411yescharacteristic
1831C2#6165611yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2397 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3273C2semidirect
2. C2×#3272C2semidirect
3. C2×#3268C2semidirect
4. C2×#3267C2semidirect
5. #44932C2semidirect
6. #36060C2semidirect
7. #30514C2semidirect
8. #30513C2semidirect
9. #30510C2semidirect
10. #30501C2semidirect
11. #28455C2semidirect
12. #28453C2semidirect
13. #25769C2semidirect
14. #25763C2semidirect
15. #25762C2semidirect
16. #25755C2semidirect
17. #25400C2semidirect
18. #25397C2semidirect
19. #25393C2semidirect
20. #25391C2semidirect
21. #24257C2semidirect
22. #24253C2semidirect
23. #24245C2semidirect
24. #24237C2semidirect
25. #23864C2semidirect
26. #23863C2semidirect
27. #23861C2semidirect
28. #23853C2semidirect
29. #23178C2semidirect
30. #21513C2semidirect
31. #21509C2semidirect
34. C22×AGL(1,ℤ/8)C22semidirect
35. C22×#135C22semidirect
38. C2×#547C22semidirect
39. C2×#547C22semidirect
41. C2×#546C22semidirect
42. C2×#546C22semidirect
43. C2×#546C22semidirect
44. C2×#546C22semidirect
45. C2×D42C22semidirect
50. C2×#497C22semidirect
53. C2×#492C22semidirect
54. C2×#470C22semidirect
56. C2×#468C22semidirect
57. C2×#468C22semidirect
58. C2×#468C22semidirect
59. C2×#468C22semidirect
60. C2×#466C22semidirect
61. C2×#465C22semidirect
62. C2×#464C22semidirect
63. C2×#462C22semidirect
66. C2×#463C22semidirect
67. C2×#463C22semidirect
68. C2×#461C22semidirect
69. C2×#461C22semidirect
70. C2×#461C22semidirect
72. C2×#452C22semidirect
73. C2×#452C22semidirect
74. C2×#452C22semidirect
75. C2×#452C22semidirect
76. C2×#452C22semidirect
77. C2×#452C22semidirect
78. C2×#452C22semidirect
82. C2×#449C22semidirect
83. C2×#449C22semidirect
84. C2×#450C22semidirect
85. C2×#450C22semidirect
86. C2×#450C22semidirect
87. C2×#450C22semidirect
91. C2×#447C22semidirect
92. C2×#442C22semidirect
93. C2×#440C22semidirect
95. C2×C4×D8C22semidirect
96. C2×#436C22semidirect
97. C2×#436C22semidirect
98. C2×#435C22semidirect
99. C2×#435C22semidirect
104. #2658C22semidirect
106. #2542C22semidirect
107. #2542C22semidirect
108. #2542C22semidirect
110. #2540C22semidirect
111. #2540C22semidirect
116. #2537C22semidirect
117. #2536C22semidirect
127. #2408C22semidirect
129. #2407C22semidirect
132. #2328C22semidirect
133. #2326C22semidirect
134. #2275C22semidirect
135. #2036C22semidirect
136. #2036C22semidirect
137. #2036C22semidirect
138. #2036C22semidirect
139. #2036C22semidirect
140. #2035C22semidirect
141. #2034C22semidirect
142. #2033C22semidirect
143. #2016C22semidirect
144. #2015C22semidirect
145. #2013C22semidirect
146. #2013C22semidirect
147. #2013C22semidirect
149. #2012C22semidirect
150. #2012C22semidirect
151. #2001C22semidirect
152. #2001C22semidirect
153. #2001C22semidirect
156. #2000C22semidirect
157. #2000C22semidirect
158. #2000C22semidirect
159. #2000C22semidirect
160. #2000C22semidirect
161. #2000C22semidirect
162. #2000C22semidirect
163. #2000C22semidirect
167. #1983C22semidirect
168. #1982C22semidirect
169. #1960C22semidirect
170. #1959C22semidirect
171. #1958C22semidirect
172. #1956C22semidirect
173. #1955C22semidirect
174. #1955C22semidirect
175. #1954C22semidirect
176. #1954C22semidirect
177. #1949C22semidirect
178. #1947C22semidirect
179. #1928C22semidirect
180. #1926C22semidirect
181. #1925C22semidirect
182. #1925C22semidirect
183. #1895C22semidirect
184. #1894C22semidirect
185. #1894C22semidirect
186. #1892C22semidirect
188. #1879C22semidirect
189. #1879C22semidirect
190. #1877C22semidirect
191. #1870C22semidirect
192. #1870C22semidirect
193. #1870C22semidirect
194. #1869C22semidirect
195. #1804C22semidirect
196. #1802C22semidirect
197. #1788C22semidirect
198. #1788C22semidirect
199. #1788C22semidirect
200. #1786C22semidirect
201. #1768C22semidirect
202. #1768C22semidirect
203. #1762C22semidirect
204. #1762C22semidirect
205. C4×#103C22semidirect
206. C4×#102C22semidirect
372. #463D4semidirect
377. #459D4semidirect
712. C2×SD16C2×D4semidirect
867. C4×D4C2×D4semidirect
979. C4⋊C8C2×D4semidirect
994. #103C2×D4semidirect

Maximal subgroups

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

subgroupindex
C2×#32732
C2×#32722
C2×#32682
C2×#32672
#449322
#360602
#305142
#305132
#305102
#305012
#284552
#284532
#257692
#257632
#257622
#257552
#254002
#253972
#253932
#253912
#242572
#242532
#242452
#242372
#238642
#238632
#238612
#238532
#231782
#215132
#215092