Finite Group Databasebeta

← #7563350

Subgroups — #7563350

Order 512.

3191 conjugacy classes of subgroups.

The subgroup lattice has 1925 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3274C211yesmaximal, characteristic, complemented
2C2×#3273C211yesmaximal, characteristic, complemented
3C2×#3264C211yesmaximal, characteristic, complemented
4C2×#3264C211yesmaximal, characteristic, complemented
5#44932C211yesmaximal, characteristic, complemented
6#35921C211yesmaximal, characteristic, complemented
7#30515C211yesmaximal, characteristic, complemented
8#30511C211yesmaximal, characteristic, complemented
9#30509C211yesmaximal, characteristic, complemented
10#30503C211yesmaximal, characteristic, complemented
11#28454C211yesmaximal, characteristic, complemented
12#28452C211yesmaximal, characteristic, complemented
13#25770C211yesmaximal, characteristic, complemented
14#25765C211yesmaximal, characteristic, complemented
15#25762C211yesmaximal, characteristic, complemented
16#25757C211yesmaximal, characteristic, complemented
17#25402C211yesmaximal, characteristic, complemented
18#25401C211yesmaximal, characteristic, complemented
19#25392C211yesmaximal, characteristic, complemented
20#25390C211yesmaximal, characteristic, complemented
21#24257C211yesmaximal, characteristic, complemented
22#24248C211yesmaximal, characteristic, complemented
23#24247C211yesmaximal, characteristic, complemented
24#24236C211yesmaximal, characteristic, complemented
25#23863C211yesmaximal, characteristic, complemented
26#23861C211yesmaximal, characteristic, complemented
27#23860C211yesmaximal, characteristic, complemented
28#23848C211yesmaximal, characteristic, complemented
29#23178C211yesmaximal, characteristic, complemented
30#21513C211yesmaximal, characteristic, complemented
31#21510C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic
33C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
34C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
35C23×D8C2211yescharacteristic
36C2×#550C2211yescharacteristic, complemented
37C2×#546C2211yescharacteristic
38C2×#546C2211yescharacteristic, complemented
39C2×#546C2211yescharacteristic, complemented
40C2×#546C2211yescharacteristic, complemented
41C2×#546C2211yescharacteristic, complemented
42C2×D42C2211yescharacteristic, complemented
43C2×D42C2211yescharacteristic, complemented
44C2×D42C2211yescharacteristic, complemented
45C2×D42C2211yescharacteristic, complemented
46#3274—28no—
47#3273—28no—
48#3264—28no—
49#3264—28no—
50C2×#496C2211yescharacteristic, complemented
51C2×#496C2211yescharacteristic, complemented
52C2×#495C2211yescharacteristic, complemented
53C2×#493C2211yescharacteristic, complemented
54C2×#469C2211yescharacteristic, complemented
55C2×#469C2211yescharacteristic, complemented
56C2×#469C2211yescharacteristic, complemented
57C2×#469C2211yescharacteristic, complemented
58C2×#468C2211yescharacteristic, complemented
59C2×#468C2211yescharacteristic, complemented
60C2×#465C2211yescharacteristic, complemented
61C2×#465C2211yescharacteristic, complemented
62C2×#464C2211yescharacteristic, complemented
63C2×#460C2211yescharacteristic, complemented
64C2×#463C2211yescharacteristic
65C2×#463C2211yescharacteristic, complemented
66C2×#463C2211yescharacteristic, complemented
67C2×#463C2211yescharacteristic, complemented
68C2×#459C2211yescharacteristic
69C2×#459C2211yescharacteristic, complemented
70C2×#459C2211yescharacteristic, complemented
71C2×#459C2211yescharacteristic, complemented
72C2×#452C2211yescharacteristic, complemented
73C2×#452C2211yescharacteristic, complemented
74C2×#452C2211yescharacteristic, complemented
75C2×#449C2211yescharacteristic
76C2×#449C2211yescharacteristic, complemented
77C2×#449C2211yescharacteristic, complemented
78C2×#449C2211yescharacteristic, complemented
79C2×#449C2211yescharacteristic, complemented
80C2×#450C2211yescharacteristic, complemented
81C2×#450C2211yescharacteristic, complemented
82C2×#447C2211yescharacteristic
83C2×#447C2211yescharacteristic
84C2×#447C2211yescharacteristic
85C2×#447C2211yescharacteristic, complemented
86C2×#447C2211yescharacteristic, complemented
87C2×#447C2211yescharacteristic, complemented
88C2×#447C2211yescharacteristic, complemented
89C2×#447C2211yescharacteristic, complemented
90C2×#447C2211yescharacteristic, complemented
91C2×#447C2211yescharacteristic, complemented
92C2×#442C2211yescharacteristic
93C2×#442C2211yescharacteristic, complemented
94C2×C4×SD16C2211yescharacteristic, complemented
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#2657C2211yescharacteristic, complemented
105#2656—21no—
106#2541C2211yescharacteristic
107#2541C2211yescharacteristic, complemented
108#2541C2211yescharacteristic, complemented
109#2540C2211yescharacteristic, complemented
110#2540C2211yescharacteristic, complemented
111#2540C2211yescharacteristic, complemented
112#2539—21no—
113#2539—21no—
114#2539—21no—
115#2537C2211yescharacteristic, complemented
116#2537C2211yescharacteristic, complemented
117#2536C2211yescharacteristic, complemented
118#2535C2211yescharacteristic, complemented
119#2433—21no—
120#2433—21no—
121#2433—21no—
122#2418—21no—
123#2418—21no—
124#2410—21no—
125#2410—21no—
126#2408C2211yescharacteristic, complemented
127#2408C2211yescharacteristic, complemented
128#2407C2211yescharacteristic, complemented
129#2407C2211yescharacteristic, complemented
130#2397C2211yescharacteristic
131C2×#392—21no—
132#2328C2211yescharacteristic, complemented
133#2326C2211yescharacteristic, complemented
134#2275C2211yescharacteristic, complemented
135#2035C2211yescharacteristic, complemented
136#2035C2211yescharacteristic, complemented
137#2034C2211yescharacteristic, complemented
138#2034C2211yescharacteristic, complemented
139#2034C2211yescharacteristic, complemented
140#2034C2211yescharacteristic, complemented
141#2033C2211yescharacteristic, complemented
142#2033C2211yescharacteristic, complemented
143#2015C2211yescharacteristic, complemented
144#2014C2211yescharacteristic, complemented
145#2012C2211yescharacteristic, complemented
146#2012C2211yescharacteristic, complemented
147#2012C2211yescharacteristic, complemented
148#2011C2211yescharacteristic, complemented
149#2011C2211yescharacteristic, complemented
150#2011C2211yescharacteristic, complemented
151#2001C2211yescharacteristic, complemented
152#2000C2211yescharacteristic, complemented
153#2000C2211yescharacteristic, complemented
154#2000C2211yescharacteristic, complemented
155#2000C2211yescharacteristic, complemented
156#2000C2211yescharacteristic, complemented
157#2000C2211yescharacteristic, complemented
158#1999C2211yescharacteristic, complemented
159#1999C2211yescharacteristic, complemented
160#1999C2211yescharacteristic, complemented
161#1999C2211yescharacteristic, complemented
162#1999C2211yescharacteristic, complemented
163#1999C2211yescharacteristic, complemented
164#1999C2211yescharacteristic, complemented
165#1999C2211yescharacteristic, complemented
166#1999C2211yescharacteristic, complemented
167#1983C2211yescharacteristic, complemented
168#1982C2211yescharacteristic, complemented
169#1961C2211yescharacteristic, complemented
170#1959C2211yescharacteristic, complemented
171#1958C2211yescharacteristic, complemented
172#1957C2211yescharacteristic, complemented
173#1955C2211yescharacteristic, complemented
174#1955C2211yescharacteristic, complemented
175#1954C2211yescharacteristic, complemented
176#1954C2211yescharacteristic, complemented
177#1949C2211yescharacteristic, complemented
178#1948C2211yescharacteristic, complemented
179#1927C2211yescharacteristic, complemented
180#1926C2211yescharacteristic, complemented
181#1926C2211yescharacteristic, complemented
182#1925C2211yescharacteristic, complemented
183#1895C2211yescharacteristic, complemented
184#1895C2211yescharacteristic, complemented
185#1894C2211yescharacteristic, complemented
186#1893C2211yescharacteristic, 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#1786C2211yescharacteristic, complemented
199#1786C2211yescharacteristic, complemented
200#1786C2211yescharacteristic, complemented
201#1768C2211yescharacteristic, complemented
202#1768C2211yescharacteristic, complemented
203#1763C2211yescharacteristic, complemented
204#1762C2211yescharacteristic, complemented
205C4×#102C2211yescharacteristic, complemented
206C4×#102C2211yescharacteristic, complemented
207C22×#41C2311yescharacteristic
208C22×#41C2311yescharacteristic
209C22×#41C2311yescharacteristic
210C23×D4—21no—
211C23×D4—21no—
212C23×D4—21no—
213C23×D4—21no—
214C23×D4C2311yescharacteristic
215C23×D4C2311yescharacteristic
216C23×D4C2311yescharacteristic
217C23×D4C2311yescharacteristic
218C23×D4C2311yescharacteristic
219C2×AGL(1,ℤ/8)—24no—
220C2×AGL(1,ℤ/8)—24no—
221C2×AGL(1,ℤ/8)—24no—
222C2×AGL(1,ℤ/8)—24no—
223C2×AGL(1,ℤ/8)—24no—
224C2×AGL(1,ℤ/8)—24no—
225C2×AGL(1,ℤ/8)—42no—
226C2×AGL(1,ℤ/8)—42no—
227C2×AGL(1,ℤ/8)—42no—
228C22×Q16C2311yescharacteristic
229C22×SD16C2311yescharacteristic
230C22×SD16C2311yescharacteristic
231C22×SD16C2311yescharacteristic
232C22×SD16C2311yescharacteristic
233C22×SD16C2311yescharacteristic
234C22×SD16C2311yescharacteristic
235C22×SD16C2311yescharacteristic
236C22×D8—24no—
237C22×D8—24no—
238C22×D8—42no—
239C22×D8C2311yescharacteristic
240C22×D8C2311yescharacteristic
241C22×D8C2311yescharacteristic
242C22×D8C2311yescharacteristic
243C22×D8C2311yescharacteristic
244C22×D8C2311yescharacteristic
245C22×D8C2311yescharacteristic
246C22×D8C2311yescharacteristic
247C22×D8C2311yescharacteristic
248C22×D8C2311yescharacteristic
249C22×D8C2311yescharacteristic
250C22×D8C2311yescharacteristic
251C22×M16C2311yescharacteristic
252C22×M16C2311yescharacteristic
253C22×M16C2311yescharacteristic
254C23×C8C2311yescharacteristic
255#550—24no—
256#550—42no—
257#546—24no—
258#546—24no—
259#546—24no—
260#546—24no—
261#546—42no—
262#546—42no—
263#546—42no—
264#546—42no—
265#546—42no—
266#546—42no—
267D42—24no—
268D42—24no—
269D42—24no—
270D42—42no—
271D42—42no—
272D42—42no—
273D42—42no—
274D42—42no—
275C2×#127—21no—
276C2×#127—21no—
277C2×#127—21no—
278C2×#127—21no—
279C2×#127C2311yescharacteristic
280C2×#127C2311yescharacteristic
281C2×#127C2311yescharacteristic
282C2×#127C2311yescharacteristic
283C2×#124C2311yescharacteristic
284C2×#124C2311yescharacteristic
285C2×#124C2311yescharacteristic
286C2×#124C2311yescharacteristic
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×#121—21no—
298C2×#121—21no—
299C2×#121—21no—
300C2×#121—21no—
301C2×#121—21no—
302C2×#121—21no—
303C2×#121—21no—
304C2×#121—21no—
305C2×#121—21no—
306C2×#121—21no—
307C2×#121—21no—
308C2×#121—21no—
309C2×#121—21no—
310C2×#121C2311yescharacteristic
311C2×#121C2311yescharacteristic
312C2×#121C2311yescharacteristic
313C2×#121C2311yescharacteristic
314C2×#121C2311yescharacteristic
315C2×#121C2311yescharacteristic
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×#120—21no—
335C2×#120—21no—
336C2×#120—21no—
337C2×#120—21no—
338C2×#120—21no—
339C2×#120—21no—
340C2×C4×Q8C2311yescharacteristic
341C2×C4×D4—21no—
342C2×C4×D4C2311yescharacteristic
343C2×C4×D4C2311yescharacteristic
344C2×C4×D4C2311yescharacteristic
345C2×C4×D4C2311yescharacteristic
346C2×C4×D4C2311yescharacteristic
347C2×C4×D4C2311yescharacteristic
348C2×C4×D4C2311yescharacteristic
349C2×C4×D4C2311yescharacteristic
350C2×C4×D4C2311yescharacteristic
351C2×C4×D4C2311yescharacteristic
352C2×C4×D4C2311yescharacteristic
353C2×C4×D4C2311yescharacteristic
354C22×C22⋊C4—21no—
355C22×C22⋊C4—21no—
356C22×C22⋊C4—21no—
357C22×C22⋊C4—21no—
358C22×C22⋊C4—21no—
359#496—24no—
360#496—24no—
361#495—24no—
362#493—24no—
363#469—24no—
364#469—24no—
365#469—24no—
366#469—24no—
367#468—24no—
368#468—24no—
369#465—24no—
370#465—24no—
371#464—42no—
372#463—24no—
373#463—24no—
374#463—42no—
375#463D418yescomplemented
376#460—24no—
377#459—24no—
378#459—42no—
379#459—42no—
380#459D418yescomplemented
381#452—24no—
382#452—24no—
383#452—42no—
384#450—24no—
385#450—24no—
386#449—24no—
387#449—24no—
388#449—24no—
389#449—24no—
390#449—42no—
391#447—24no—
392#447—24no—
393#447—24no—
394#447—24no—
395#447—24no—
396#447—24no—
397#447—24no—
398#447—24no—
399#447—42no—
400#447—42no—
401#442—24no—
402#442—24no—
403C4×SD16—24no—
404C4×D8—24no—
405#436—24no—
406#436—24no—
407#435—24no—
408#435—24no—
409C2×#107C2311yescharacteristic
410C2×#106C2311yescharacteristic
411C2×#106C2311yescharacteristic
412C2×#106C2311yescharacteristic
413C2×C4⋊C8C2311yescharacteristic
414C2×C4⋊C8C2311yescharacteristic
415C2×C4⋊C8C2311yescharacteristic
416C2×C4⋊C8C2311yescharacteristic
417C2×#103C2311yescharacteristic
418C2×#103C2311yescharacteristic
419C2×#103C2311yescharacteristic
420C2×#103C2311yescharacteristic
421C2×#103C2311yescharacteristic
422C2×#103C2311yescharacteristic
423C2×#103C2311yescharacteristic
424C2×#102C2311yescharacteristic
425C2×#102C2311yescharacteristic
426C2×#102C2311yescharacteristic
427C2×#102C2311yescharacteristic
428C2×#102C2311yescharacteristic
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×#102C2311yescharacteristic
447C2×#102C2311yescharacteristic
448C2×#102C2311yescharacteristic
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×C22⋊C8C2311yescharacteristic
459C2×C22⋊C8C2311yescharacteristic
460C2×C22⋊C8C2311yescharacteristic
461C2×#97C2311yescharacteristic
462C2×#97C2311yescharacteristic
463C2×C4×C8C2311yescharacteristic
464C2×C4×C8C2311yescharacteristic
465#399—21no—
466#399—21no—
467#399—21no—
468#399D411yescharacteristic
469#399D411yescharacteristic
470#399D411yescharacteristic
471#399D411yescharacteristic
472#398—21no—
473#397—21no—
474#394—21no—
475#394—21no—
476#394—21no—
477#394—21no—
478#394—21no—
479#394—21no—
480#394—21no—
481#394—21no—
482#394—21no—
483#392—21no—
484#392—21no—
485#392—21no—
486#392—21no—
487#392—21no—
488#392—21no—
489#392—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#392—21no—
499#392—21no—
500#392—21no—
501#392D411yescharacteristic
502#392D411yescharacteristic
503#392D411yescharacteristic
504#392D411yescharacteristic
505#391C2311yescharacteristic
506#390—21no—
507#390—21no—
508#390—21no—
509#390—21no—
510#390—21no—
511#390—21no—
512#390—21no—
513#390—21no—
514#390—21no—
515#390C2311yescharacteristic
516#390C2311yescharacteristic
517#390C2311yescharacteristic
518#388—21no—
519#388—21no—
520#388—21no—
521#388—21no—
522#386—21no—
523#386—21no—
524#386—21no—
525#386—21no—
526#386—21no—
527#386—21no—
528#386—21no—
529#386—21no—
530#385—21no—
531#385—21no—
532#385—21no—
533#385—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—
567C25—21no—
568C25—21no—
569C2×#41—22no—
570C2×#41—22no—
571C2×#41—22no—
572C2×#41—22no—
573C2×#41—22no—
574C2×#41—22no—
575C2×#41—22no—
576C2×#41—41no—
577C2×#41—41no—
578C2×#41—41no—
579C2×#41—41no—
580C2×#41—41no—
581C2×#41—41no—
582C2×#41—41no—
583C2×#41—41no—
584C2×#41—41no—
585C2×#41—41no—
586C2×#41—41no—
587C22×Q8C2411yescharacteristic
588C22×Q8C2411yescharacteristic
589C22×D4—22no—
590C22×D4—22no—
591C22×D4—22no—
592C22×D4—22no—
593C22×D4—22no—
594C22×D4—22no—
595C22×D4—22no—
596C22×D4—22no—
597C22×D4—22no—
598C22×D4—22no—
599C22×D4—22no—
600C22×D4—22no—
601C22×D4—22no—
602C22×D4—21no—
603C22×D4—21no—
604C22×D4—21no—
605C22×D4—21no—
606C22×D4—21no—
607C22×D4—21no—
608C22×D4—21no—
609C22×D4—21no—
610C22×D4—21no—
611C22×D4—21no—
612C22×D4—21no—
613C22×D4—21no—
614C22×D4—21no—
615C22×D4—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—21no—
628C22×D4—21no—
629C22×D4—21no—
630C22×D4—21no—
631C22×D4—21no—
632C22×D4—21no—
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—41no—
644C22×D4—41no—
645C22×D4—41no—
646C22×D4—41no—
647C22×D4—41no—
648C22×D4—41no—
649C22×D4—41no—
650C22×D4—44no—
651C22×D4—44no—
652C22×D4—44no—
653C22×D4—44no—
654C22×D4—82no—
655C22×D4—82no—
656C22×D4—82no—
657C22×D4—82no—
658C22×D4—82no—
659C22×D4—82no—
660C22×D4—82no—
661C22×D4—82no—
662C22×D4C2×D411yescharacteristic
663C22×D4C2×D411yescharacteristic
664C22×D4C2×D411yescharacteristic
665C22×D4C2×D411yescharacteristic
666C22×D4C2×D411yescharacteristic
667C22×D4C2×D411yescharacteristic
668C22×D4C2411yescharacteristic
669C22×D4C2411yescharacteristic
670C22×D4C2411yescharacteristic
671C22×D4C2411yescharacteristic
672C22×D4C2411yescharacteristic
673C22×D4C2411yescharacteristic
674C22×D4C2411yescharacteristic
675C23×C4—21no—
676C23×C4—21no—
677C23×C4—21no—
678C23×C4—21no—
679C23×C4—21no—
680C23×C4—21no—
681C23×C4—21no—
682C23×C4—21no—
683C23×C4—21no—
684C23×C4C2411yescharacteristic
685C23×C4C2411yescharacteristic
686C23×C4C2411yescharacteristic
687C23×C4C2411yescharacteristic
688AGL(1,ℤ/8)—416no—
689AGL(1,ℤ/8)—416no—
690AGL(1,ℤ/8)—416no—
691C2×Q16—22no—
692C2×Q16—41no—
693C2×Q16—41no—
694C2×SD16—22no—
695C2×SD16—22no—
696C2×SD16—22no—
697C2×SD16—22no—
698C2×SD16—22no—
699C2×SD16—22no—
700C2×SD16—22no—
701C2×SD16—22no—
702C2×SD16—22no—
703C2×SD16—22no—
704C2×SD16—22no—
705C2×SD16—22no—
706C2×SD16—41no—
707C2×SD16—41no—
708C2×SD16—41no—
709C2×SD16—41no—
710C2×SD16—41no—
711C2×SD16—41no—
712C2×SD16—41no—
713C2×SD16—41no—
714C2×SD16C2×D414yescomplemented
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—22no—
724C2×D8—22no—
725C2×D8—22no—
726C2×D8—22no—
727C2×D8—22no—
728C2×D8—22no—
729C2×D8—22no—
730C2×D8—22no—
731C2×D8—22no—
732C2×D8—22no—
733C2×D8—22no—
734C2×D8—41no—
735C2×D8—41no—
736C2×D8—41no—
737C2×D8—41no—
738C2×D8—41no—
739C2×D8—41no—
740C2×D8—41no—
741C2×D8—41no—
742C2×D8—41no—
743C2×D8—41no—
744C2×D8—41no—
745C2×D8—41no—
746C2×D8—41no—
747C2×D8—41no—
748C2×D8—416no—
749C2×D8C2×D414yes—
750C2×D8C2×D414yes—
751C2×D8C2×D414yes—
752C2×M16—22no—
753C2×M16—22no—
754C2×M16—22no—
755C2×M16—22no—
756C2×M16—22no—
757C2×M16—22no—
758C2×M16—41no—
759C2×M16—41no—
760C2×M16—41no—
761C22×C8—22no—
762C22×C8—22no—
763C22×C8—41no—
764C22×C8C2411yescharacteristic
765C22×C8C2411yescharacteristic
766C22×C8C2411yescharacteristic
767C22×C8C2411yescharacteristic
768C22×C8C2411yescharacteristic
769C22×C8C2411yescharacteristic
770C22×C8C2411yescharacteristic
771C22×C8C2411yescharacteristic
772#127—22no—
773#127—22no—
774#127—22no—
775#127—22no—
776#127—22no—
777#127—41no—
778#127—41no—
779#127—44no—
780#127—82no—
781#127—82no—
782#127—82no—
783#127C2×D414yescomplemented
784#124—22no—
785#124—22no—
786#124—22no—
787#124—22no—
788#124—22no—
789#124—41no—
790#124—41no—
791#124C2×D414yescomplemented
792#123—44no—
793#123—44no—
794#123—44no—
795#123—44no—
796#123—44no—
797C22⋊Q8—22no—
798C22⋊Q8—22no—
799C22⋊Q8—22no—
800C22⋊Q8—22no—
801C22⋊Q8—22no—
802C22⋊Q8—41no—
803C22⋊Q8—41no—
804C22⋊Q8—41no—
805C22⋊Q8—41no—
806C22⋊Q8—41no—
807#121—22no—
808#121—22no—
809#121—22no—
810#121—22no—
811#121—22no—
812#121—22no—
813#121—22no—
814#121—22no—
815#121—22no—
816#121—22no—
817#121—22no—
818#121—22no—
819#121—22no—
820#121—22no—
821#121—22no—
822#121—44no—
823#121—44no—
824#121—44no—
825#121—44no—
826#121—44no—
827#121—44no—
828#121—41no—
829#121—41no—
830#121—41no—
831#121—41no—
832#121—41no—
833#121—41no—
834#121—41no—
835#121—41no—
836#121—41no—
837#121—41no—
838#121—41no—
839#121—41no—
840#121—41no—
841#121—41no—
842#121—41no—
843#121—44no—
844#121—44no—
845#121—44no—
846#121—44no—
847#121—44no—
848#121—82no—
849#121—82no—
850#120—44no—
851#120—44no—
852#120—44no—
853#120—44no—
854#120—44no—
855#120—44no—
856#120—44no—
857#120—44no—
858#120—44no—
859#120—44no—
860#120—44no—
861#120—44no—
862#120—44no—
863#120—82no—
864#120—82no—
865C4×Q8—22no—
866C4×Q8—22no—
867C4×D4—22no—
868C4×D4—22no—
869C4×D4—22no—
870C4×D4—22no—
871C4×D4—22no—
872C4×D4—22no—
873C4×D4—22no—
874C4×D4—22no—
875C4×D4—22no—
876C4×D4—22no—
877C4×D4—22no—
878C4×D4—22no—
879C4×D4—22no—
880C4×D4—22no—
881C4×D4—22no—
882C4×D4—22no—
883C4×D4—22no—
884C4×D4—22no—
885C4×D4—41no—
886C4×D4—41no—
887C4×D4—41no—
888C4×D4—41no—
889C4×D4—44no—
890C4×D4C2×D414yes—
891C4×D4C2×D414yescomplemented
892C2×C4⋊C4—21no—
893C2×C4⋊C4—21no—
894C2×C4⋊C4—21no—
895C2×C4⋊C4—21no—
896C2×C4⋊C4—21no—
897C2×C4⋊C4—21no—
898C2×C4⋊C4—21no—
899C2×C4⋊C4—21no—
900C2×C4⋊C4C2×D411yescharacteristic
901C2×C4⋊C4C2×D411yescharacteristic
902C2×C4⋊C4C2×D411yescharacteristic
903C2×C4⋊C4C2×D411yescharacteristic
904C2×C4⋊C4C2×D411yescharacteristic
905C2×C4⋊C4C2×D411yescharacteristic
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2411yescharacteristic
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—21no—
949C2×C22⋊C4—21no—
950C2×C22⋊C4—21no—
951C2×C22⋊C4—21no—
952C2×C22⋊C4—21no—
953C2×C22⋊C4—21no—
954C2×C22⋊C4—21no—
955C2×C22⋊C4—21no—
956C2×C22⋊C4—21no—
957C2×C22⋊C4—44no—
958C2×C22⋊C4—44no—
959C2×C22⋊C4—44no—
960C2×C22⋊C4—44no—
961C2×C22⋊C4—44no—
962C2×C22⋊C4C2×D411yescharacteristic
963C2×C22⋊C4C2×D411yescharacteristic
964C2×C22⋊C4C2×D411yescharacteristic
965C2×C22⋊C4C2×D411yescharacteristic
966C2×C22⋊C4C2×D411yescharacteristic
967C2×C22⋊C4C2×D411yescharacteristic
968C2×C22⋊C4C2×D411yescharacteristic
969C2×C22⋊C4C2×D411yescharacteristic
970C2×C22⋊C4C2×D411yescharacteristic
971C2×C22⋊C4C2×D411yescharacteristic
972C2×C22⋊C4C2×D411yescharacteristic
973C2×C22⋊C4C2×D411yescharacteristic
974C2×C42—21no—
975C2×C42—21no—
976C2×C42—21no—
977C2×C42—21no—
978C2×C42C2411yescharacteristic
979C2×C42C2411yescharacteristic
980C2×C42C2411yescharacteristic
981#107—22no—
982#106—22no—
983#106—22no—
984#106—22no—
985C4⋊C8—22no—
986C4⋊C8—22no—
987C4⋊C8C2×D414yescomplemented
988C4⋊C8C2×D414yescomplemented
989#103—22no—
990#103—22no—
991#103—22no—
992#103—22no—
993#103—41no—
994#103—41no—
995#103C2×D414yescomplemented
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—22no—
1008#102—22no—
1009#102—22no—
1010#102—22no—
1011#102—22no—
1012#102—41no—
1013#102—41no—
1014#102—41no—
1015#102—41no—
1016#102—41no—
1017#102—41no—
1018#102C2×D414yescomplemented
1019#102C2×D414yescomplemented
1020#102C2×D414yescomplemented
1021C22⋊C8—22no—
1022C22⋊C8—22no—
1023C22⋊C8—22no—
1024C22⋊C8—22no—
1025C22⋊C8—22no—
1026C22⋊C8—22no—
1027C22⋊C8—22no—
1028C22⋊C8—22no—
1029C22⋊C8—41no—
1030C22⋊C8—41no—
1031C22⋊C8—41no—
1032C22⋊C8—41no—
1033#97—22no—
1034#97—22no—
1035C4×C8—22no—
1036C4×C8—22no—
1037#95—21no—
1038#95—21no—
1039#95—21no—
1040#95—21no—
1041#95—21no—
1042#95—21no—
1043#95—21no—
1044#95—21no—
1045#95—21no—
1046#95—21no—
1047#95—21no—
1048#95C2×D411yescharacteristic
1049#95C2×D411yescharacteristic
1050#95C2×D411yescharacteristic
1051#95C2×D411yescharacteristic
1052C24—21no—
1053C24—21no—
1054C24—21no—
1055C24—21no—
1056C24—21no—
1057C24—21no—
1058C24—21no—
1059C24—42no—
1060C24—42no—
1061C24—42no—
1062C24—42no—
1063C24—42no—
1064C24—42no—
1065C24—42no—
1066C24—42no—
1067C24—42no—
1068C24—42no—
1069C24—42no—
1070C24—42no—
1071C24—42no—
1072C24—42no—
1073C24—42no—
1074C24—42no—
1075C24—42no—
1076C24—42no—
1077C24—81no—
1078C24—81no—
1079C24—81no—
1080C24—81no—
1081C24—81no—
1082C24—81no—
1083C24—81no—
1084C24—81no—
1085C24—81no—
1086C24—81no—
1087C24—81no—
1088C24—81no—
1089C24—81no—
1090C24—81no—
1091C24—81no—
1092C24—81no—
1093C24—81no—
1094C24C22×D411yescharacteristic
1095C24C22×D411yescharacteristic
1096C24C22×D411yescharacteristic
1097C24C22×D411yescharacteristic
1098#41—44no—
1099#41—44no—
1100#41—44no—
1101#41—82no—
1102#41—82no—
1103#41—82no—
1104#41—82no—
1105#41—82no—
1106#41—82no—
1107#41—82no—
1108#41—82no—
1109#41—82no—
1110C2×Q8—21no—
1111C2×Q8—21no—
1112C2×Q8—21no—
1113C2×Q8—21no—
1114C2×Q8—21no—
1115C2×Q8—21no—
1116C2×Q8—21no—
1117C2×Q8—21no—
1118C2×Q8—21no—
1119C2×Q8—21no—
1120C2×Q8—21no—
1121C2×Q8C22×D412yes—
1122C2×D4—22no—
1123C2×D4—22no—
1124C2×D4—22no—
1125C2×D4—22no—
1126C2×D4—22no—
1127C2×D4—22no—
1128C2×D4—22no—
1129C2×D4—24no—
1130C2×D4—24no—
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—21no—
1148C2×D4—21no—
1149C2×D4—21no—
1150C2×D4—21no—
1151C2×D4—21no—
1152C2×D4—21no—
1153C2×D4—21no—
1154C2×D4—21no—
1155C2×D4—21no—
1156C2×D4—21no—
1157C2×D4—21no—
1158C2×D4—21no—
1159C2×D4—21no—
1160C2×D4—21no—
1161C2×D4—21no—
1162C2×D4—21no—
1163C2×D4—21no—
1164C2×D4—21no—
1165C2×D4—21no—
1166C2×D4—21no—
1167C2×D4—41no—
1168C2×D4—41no—
1169C2×D4—41no—
1170C2×D4—41no—
1171C2×D4—41no—
1172C2×D4—41no—
1173C2×D4—41no—
1174C2×D4—41no—
1175C2×D4—41no—
1176C2×D4—41no—
1177C2×D4—41no—
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—42no—
1196C2×D4—42no—
1197C2×D4—42no—
1198C2×D4—42no—
1199C2×D4—42no—
1200C2×D4—42no—
1201C2×D4—42no—
1202C2×D4—42no—
1203C2×D4—42no—
1204C2×D4—44no—
1205C2×D4—44no—
1206C2×D4—44no—
1207C2×D4—44no—
1208C2×D4—44no—
1209C2×D4—42no—
1210C2×D4—42no—
1211C2×D4—42no—
1212C2×D4—42no—
1213C2×D4—42no—
1214C2×D4—42no—
1215C2×D4—42no—
1216C2×D4—42no—
1217C2×D4—42no—
1218C2×D4—42no—
1219C2×D4—42no—
1220C2×D4—42no—
1221C2×D4—42no—
1222C2×D4—42no—
1223C2×D4—42no—
1224C2×D4—42no—
1225C2×D4—42no—
1226C2×D4—42no—
1227C2×D4—42no—
1228C2×D4—42no—
1229C2×D4—42no—
1230C2×D4—42no—
1231C2×D4—42no—
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—81no—
1243C2×D4—81no—
1244C2×D4—81no—
1245C2×D4—81no—
1246C2×D4—81no—
1247C2×D4—81no—
1248C2×D4—81no—
1249C2×D4—81no—
1250C2×D4—82no—
1251C2×D4—82no—
1252C2×D4—82no—
1253C2×D4—82no—
1254C2×D4—82no—
1255C2×D4—82no—
1256C2×D4—82no—
1257C2×D4—82no—
1258C2×D4—82no—
1259C2×D4—82no—
1260C2×D4—82no—
1261C2×D4—82no—
1262C2×D4—82no—
1263C2×D4—82no—
1264C2×D4—82no—
1265C2×D4—81no—
1266C2×D4—81no—
1267C2×D4—81no—
1268C2×D4—81no—
1269C2×D4—81no—
1270C2×D4—81no—
1271C2×D4—81no—
1272C2×D4—81no—
1273C2×D4—81no—
1274C2×D4—81no—
1275C2×D4—81no—
1276C2×D4—81no—
1277C2×D4—81no—
1278C2×D4—81no—
1279C2×D4—81no—
1280C2×D4—81no—
1281C2×D4—81no—
1282C2×D4—81no—
1283C2×D4—81no—
1284C2×D4—81no—
1285C2×D4—81no—
1286C2×D4—81no—
1287C2×D4—81no—
1288C2×D4—81no—
1289C2×D4—816no—
1290C2×D4—816no—
1291C2×D4—816no—
1292C2×D4—816no—
1293C2×D4C22×D412yes—
1294C2×D4C22×D412yes—
1295C2×D4C22×D412yes—
1296C2×D4C22×D412yes—
1297C2×D4C22×D412yes—
1298C2×D4H(5,𝔽2)12yes—
1299C22×C4—21no—
1300C22×C4—21no—
1301C22×C4—21no—
1302C22×C4—21no—
1303C22×C4—24no—
1304C22×C4—21no—
1305C22×C4—21no—
1306C22×C4—21no—
1307C22×C4—21no—
1308C22×C4—21no—
1309C22×C4—21no—
1310C22×C4—21no—
1311C22×C4—21no—
1312C22×C4—21no—
1313C22×C4—21no—
1314C22×C4—21no—
1315C22×C4—21no—
1316C22×C4—21no—
1317C22×C4—21no—
1318C22×C4—21no—
1319C22×C4—21no—
1320C22×C4—21no—
1321C22×C4—21no—
1322C22×C4—21no—
1323C22×C4—21no—
1324C22×C4—21no—
1325C22×C4—21no—
1326C22×C4—21no—
1327C22×C4—21no—
1328C22×C4—24no—
1329C22×C4—24no—
1330C22×C4—21no—
1331C22×C4—21no—
1332C22×C4—21no—
1333C22×C4—21no—
1334C22×C4—21no—
1335C22×C4—42no—
1336C22×C4—42no—
1337C22×C4—42no—
1338C22×C4—42no—
1339C22×C4—42no—
1340C22×C4—42no—
1341C22×C4—42no—
1342C22×C4—42no—
1343C22×C4—42no—
1344C22×C4—42no—
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—
1357C22×C4—81no—
1358C22×C4—81no—
1359C22×C4C22×D411yescharacteristic
1360C22×C4C22×D411yescharacteristic
1361C22×C4C22×D411yescharacteristic
1362C22×C4C22×D411yescharacteristic
1363C22×C4C22×D411yescharacteristic
1364C22×C4C22×D411yescharacteristic
1365C22×C4C22×D411yescharacteristic
1366C22×C4C22×D411yescharacteristic
1367C22×C4C22×D411yescharacteristic
1368C22×C4C22×D411yescharacteristic
1369C22×C4C2511yescharacteristic
1370Q16—82no—
1371SD16—28no—
1372SD16—44no—
1373SD16—44no—
1374SD16—44no—
1375SD16—44no—
1376SD16—82no—
1377SD16—82no—
1378D8—28no—
1379D8—28no—
1380D8—28no—
1381D8—44no—
1382D8—44no—
1383D8—44no—
1384D8—44no—
1385D8—82no—
1386D8—82no—
1387D8—82no—
1388D8—82no—
1389D8—82no—
1390M16—44no—
1391M16—44no—
1392M16—44no—
1393C2×C8—21no—
1394C2×C8—21no—
1395C2×C8—21no—
1396C2×C8—21no—
1397C2×C8—21no—
1398C2×C8—21no—
1399C2×C8—21no—
1400C2×C8—21no—
1401C2×C8—21no—
1402C2×C8—21no—
1403C2×C8—21no—
1404C2×C8—21no—
1405C2×C8—21no—
1406C2×C8—21no—
1407C2×C8—21no—
1408C2×C8—21no—
1409C2×C8—21no—
1410C2×C8—21no—
1411C2×C8—21no—
1412C2×C8—21no—
1413C2×C8—44no—
1414C2×C8C22×D412yes—
1415C2×C8C22×D412yes—
1416C2×C8C22×D412yes—
1417C2×C8C22×D412yes—
1418C4⋊C4—22no—
1419C4⋊C4—22no—
1420C4⋊C4—22no—
1421C4⋊C4—22no—
1422C4⋊C4—21no—
1423C4⋊C4—21no—
1424C4⋊C4—21no—
1425C4⋊C4—21no—
1426C4⋊C4—21no—
1427C4⋊C4—21no—
1428C4⋊C4—21no—
1429C4⋊C4—21no—
1430C4⋊C4—21no—
1431C4⋊C4—21no—
1432C4⋊C4—21no—
1433C4⋊C4—41no—
1434C4⋊C4—41no—
1435C4⋊C4—42no—
1436C4⋊C4—42no—
1437C4⋊C4—42no—
1438C4⋊C4—42no—
1439C4⋊C4—42no—
1440C4⋊C4—42no—
1441C4⋊C4—81no—
1442C4⋊C4—81no—
1443C4⋊C4C22×D412yes—
1444C4⋊C4C22×D412yes—
1445C4⋊C4H(5,𝔽2)12yes—
1446C22⋊C4—24no—
1447C22⋊C4—24no—
1448C22⋊C4—24no—
1449C22⋊C4—24no—
1450C22⋊C4—24no—
1451C22⋊C4—22no—
1452C22⋊C4—22no—
1453C22⋊C4—22no—
1454C22⋊C4—22no—
1455C22⋊C4—22no—
1456C22⋊C4—22no—
1457C22⋊C4—22no—
1458C22⋊C4—22no—
1459C22⋊C4—41no—
1460C22⋊C4—41no—
1461C22⋊C4—41no—
1462C22⋊C4—41no—
1463C22⋊C4—42no—
1464C22⋊C4—42no—
1465C22⋊C4—42no—
1466C22⋊C4—42no—
1467C22⋊C4—42no—
1468C22⋊C4—42no—
1469C22⋊C4—42no—
1470C22⋊C4—42no—
1471C22⋊C4—42no—
1472C22⋊C4—42no—
1473C22⋊C4—42no—
1474C22⋊C4—42no—
1475C22⋊C4—42no—
1476C22⋊C4—42no—
1477C22⋊C4—42no—
1478C22⋊C4—42no—
1479C22⋊C4—42no—
1480C22⋊C4—42no—
1481C22⋊C4—42no—
1482C22⋊C4—42no—
1483C22⋊C4—42no—
1484C22⋊C4—42no—
1485C22⋊C4—42no—
1486C22⋊C4—42no—
1487C22⋊C4—42no—
1488C22⋊C4—42no—
1489C22⋊C4—42no—
1490C22⋊C4—42no—
1491C22⋊C4—42no—
1492C22⋊C4—42no—
1493C22⋊C4—42no—
1494C22⋊C4—81no—
1495C22⋊C4—81no—
1496C22⋊C4—81no—
1497C22⋊C4—81no—
1498C22⋊C4—81no—
1499C22⋊C4—81no—
1500C22⋊C4—81no—
1501C22⋊C4—81no—
1502C42—21no—
1503C42—21no—
1504C42—42no—
1505C42—81no—
1506C42—81no—
1507C42—81no—
1508C42C22×D412yes—
1509C42C22×D412yes—
1510C42H(5,𝔽2)12yes—
1511C42H(5,𝔽2)12yes—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—22no—
1518C23—22no—
1519C23—22no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—21no—
1529C23—21no—
1530C23—22no—
1531C23—21no—
1532C23—21no—
1533C23—21no—
1534C23—21no—
1535C23—21no—
1536C23—21no—
1537C23—22no—
1538C23—22no—
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—41no—
1546C23—41no—
1547C23—41no—
1548C23—41no—
1549C23—41no—
1550C23—41no—
1551C23—41no—
1552C23—41no—
1553C23—41no—
1554C23—41no—
1555C23—41no—
1556C23—41no—
1557C23—41no—
1558C23—41no—
1559C23—41no—
1560C23—41no—
1561C23—41no—
1562C23—41no—
1563C23—41no—
1564C23—41no—
1565C23—41no—
1566C23—41no—
1567C23—41no—
1568C23—41no—
1569C23—41no—
1570C23—41no—
1571C23—41no—
1572C23—41no—
1573C23—41no—
1574C23—41no—
1575C23—41no—
1576C23—41no—
1577C23—41no—
1578C23—41no—
1579C23—41no—
1580C23—41no—
1581C23—41no—
1582C23—41no—
1583C23—41no—
1584C23—41no—
1585C23—41no—
1586C23—41no—
1587C23—41no—
1588C23—84no—
1589C23—84no—
1590C23—84no—
1591C23—84no—
1592C23—84no—
1593C23—84no—
1594C23—84no—
1595C23—84no—
1596C23—84no—
1597C23—84no—
1598C23—84no—
1599C23—84no—
1600C23—84no—
1601C23—84no—
1602C23—84no—
1603C23—84no—
1604C23—84no—
1605C23—84no—
1606C23—162no—
1607C23—162no—
1608C23—162no—
1609C23—162no—
1610C23—162no—
1611C23—162no—
1612C23—162no—
1613C23—162no—
1614C23—162no—
1615C23—162no—
1616C23—162no—
1617C23—162no—
1618C23—162no—
1619C23—162no—
1620C23—162no—
1621C23—162no—
1622C23—162no—
1623C23#57612yes—
1624C23C23×D411yescharacteristic
1625Q8—22no—
1626Q8—22no—
1627Q8—41no—
1628Q8—41no—
1629Q8—41no—
1630Q8—41no—
1631Q8—41no—
1632Q8—41no—
1633D4—22no—
1634D4—22no—
1635D4—22no—
1636D4—22no—
1637D4—22no—
1638D4—22no—
1639D4—22no—
1640D4—22no—
1641D4—22no—
1642D4—44no—
1643D4—44no—
1644D4—44no—
1645D4—44no—
1646D4—41no—
1647D4—41no—
1648D4—41no—
1649D4—41no—
1650D4—41no—
1651D4—41no—
1652D4—41no—
1653D4—41no—
1654D4—41no—
1655D4—41no—
1656D4—41no—
1657D4—41no—
1658D4—41no—
1659D4—41no—
1660D4—41no—
1661D4—41no—
1662D4—41no—
1663D4—41no—
1664D4—82no—
1665D4—84no—
1666D4—84no—
1667D4—84no—
1668D4—84no—
1669D4—84no—
1670D4—84no—
1671D4—84no—
1672D4—84no—
1673D4—84no—
1674D4—82no—
1675D4—84no—
1676D4—84no—
1677D4—84no—
1678D4—84no—
1679D4—84no—
1680D4—84no—
1681D4—84no—
1682D4—84no—
1683D4—84no—
1684D4—84no—
1685D4—84no—
1686D4—84no—
1687D4—162no—
1688D4—162no—
1689D4—162no—
1690D4—162no—
1691D4—162no—
1692D4—162no—
1693D4—162no—
1694D4—162no—
1695D4—162no—
1696D4—162no—
1697D4D4214yes—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—22no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—22no—
1715C2×C4—22no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—21no—
1720C2×C4—21no—
1721C2×C4—21no—
1722C2×C4—22no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—41no—
1729C2×C4—41no—
1730C2×C4—41no—
1731C2×C4—41no—
1732C2×C4—41no—
1733C2×C4—41no—
1734C2×C4—41no—
1735C2×C4—41no—
1736C2×C4—41no—
1737C2×C4—41no—
1738C2×C4—41no—
1739C2×C4—41no—
1740C2×C4—41no—
1741C2×C4—41no—
1742C2×C4—41no—
1743C2×C4—41no—
1744C2×C4—41no—
1745C2×C4—41no—
1746C2×C4—41no—
1747C2×C4—41no—
1748C2×C4—41no—
1749C2×C4—41no—
1750C2×C4—41no—
1751C2×C4—41no—
1752C2×C4—41no—
1753C2×C4—41no—
1754C2×C4—41no—
1755C2×C4—41no—
1756C2×C4—41no—
1757C2×C4—41no—
1758C2×C4—41no—
1759C2×C4—41no—
1760C2×C4—41no—
1761C2×C4—41no—
1762C2×C4—41no—
1763C2×C4—41no—
1764C2×C4—41no—
1765C2×C4—41no—
1766C2×C4—41no—
1767C2×C4—84no—
1768C2×C4—84no—
1769C2×C4—84no—
1770C2×C4—84no—
1771C2×C4—84no—
1772C2×C4—84no—
1773C2×C4—84no—
1774C2×C4—162no—
1775C2×C4—162no—
1776C2×C4D4212yes—
1777C2×C4D4212yes—
1778C2×C4D4212yes—
1779C2×C4D4212yes—
1780C2×C4C23×D411yescharacteristic
1781C2×C4C23×D411yescharacteristic
1782C2×C4C2×H(5,𝔽2)11yescharacteristic
1783C2×C4C2×H(5,𝔽2)11yescharacteristic
1784C2×C4C2×H(5,𝔽2)11yescharacteristic
1785C2×C4C2×H(5,𝔽2)11yescharacteristic
1786C8—22no—
1787C8—22no—
1788C8—22no—
1789C8—22no—
1790C8—41no—
1791C8—41no—
1792C8—41no—
1793C8—41no—
1794C22—22no—
1795C22—22no—
1796C22—22no—
1797C22—24no—
1798C22—42no—
1799C22—41no—
1800C22—41no—
1801C22—42no—
1802C22—42no—
1803C22—42no—
1804C22—42no—
1805C22—41no—
1806C22—42no—
1807C22—41no—
1808C22—41no—
1809C22—41no—
1810C22—42no—
1811C22—42no—
1812C22—41no—
1813C22—41no—
1814C22—41no—
1815C22—41no—
1816C22—42no—
1817C22—41no—
1818C22—41no—
1819C22—42no—
1820C22—42no—
1821C22—41no—
1822C22—41no—
1823C22—41no—
1824C22—41no—
1825C22—42no—
1826C22—41no—
1827C22—41no—
1828C22—41no—
1829C22—41no—
1830C22—41no—
1831C22—41no—
1832C22—41no—
1833C22—41no—
1834C22—41no—
1835C22—42no—
1836C22—42no—
1837C22—42no—
1838C22—81no—
1839C22—81no—
1840C22—81no—
1841C22—81no—
1842C22—81no—
1843C22—81no—
1844C22—81no—
1845C22—81no—
1846C22—81no—
1847C22—81no—
1848C22—81no—
1849C22—81no—
1850C22—81no—
1851C22—81no—
1852C22—81no—
1853C22—81no—
1854C22—81no—
1855C22—81no—
1856C22—81no—
1857C22—81no—
1858C22—81no—
1859C22—81no—
1860C22—81no—
1861C22—81no—
1862C22—81no—
1863C22—81no—
1864C22—81no—
1865C22—81no—
1866C22—81no—
1867C22—81no—
1868C22—81no—
1869C22—81no—
1870C22—81no—
1871C22—168no—
1872C22—168no—
1873C22—168no—
1874C22—168no—
1875C22—168no—
1876C22C2×D4211yescharacteristic
1877C22C2×D4211yescharacteristic
1878C22#348411yescharacteristic
1879C22C2×#57611yescharacteristic
1880C22#358511yescharacteristic
1881C22#358511yescharacteristic
1882C22#358511yescharacteristic
1883C4—22no—
1884C4—22no—
1885C4—22no—
1886C4—22no—
1887C4—42no—
1888C4—42no—
1889C4—41no—
1890C4—42no—
1891C4—41no—
1892C4—41no—
1893C4—41no—
1894C4—41no—
1895C4—41no—
1896C4—42no—
1897C4—81no—
1898C4—81no—
1899C4—81no—
1900C4—81no—
1901C4—81no—
1902C4C2×D4211yescharacteristic
1903C4#349811yescharacteristic
1904C4#349811yescharacteristic
1905C4#354311yescharacteristic
1906C2—42no—
1907C2—44no—
1908C2—81no—
1909C2—81no—
1910C2—81no—
1911C2—82no—
1912C2—82no—
1913C2—82no—
1914C2—161no—
1915C2—161no—
1916C2—161no—
1917C2#5912611yescharacteristic
1918C2#6105811yescharacteristic
1919C2#6106311yescharacteristic
1920C2#6107211yescharacteristic
1921C2#6107211yescharacteristic
1922C2#6160911yescharacteristic
1923C2#6165311yescharacteristic
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×#3274C2semidirect
2. C2×#3273C2semidirect
3. C2×#3264C2semidirect
4. C2×#3264C2semidirect
5. #44932C2semidirect
6. #35921C2semidirect
7. #30515C2semidirect
8. #30511C2semidirect
9. #30509C2semidirect
10. #30503C2semidirect
11. #28454C2semidirect
12. #28452C2semidirect
13. #25770C2semidirect
14. #25765C2semidirect
15. #25762C2semidirect
16. #25757C2semidirect
17. #25402C2semidirect
18. #25401C2semidirect
19. #25392C2semidirect
20. #25390C2semidirect
21. #24257C2semidirect
22. #24248C2semidirect
23. #24247C2semidirect
24. #24236C2semidirect
25. #23863C2semidirect
26. #23861C2semidirect
27. #23860C2semidirect
28. #23848C2semidirect
29. #23178C2semidirect
30. #21513C2semidirect
31. #21510C2semidirect
33. C22×AGL(1,ℤ/8)C22semidirect
34. C22×AGL(1,ℤ/8)C22semidirect
36. C2×#550C22semidirect
38. C2×#546C22semidirect
39. C2×#546C22semidirect
40. C2×#546C22semidirect
41. C2×#546C22semidirect
42. C2×D42C22semidirect
43. C2×D42C22semidirect
44. C2×D42C22semidirect
45. C2×D42C22semidirect
50. C2×#496C22semidirect
51. C2×#496C22semidirect
52. C2×#495C22semidirect
53. C2×#493C22semidirect
54. C2×#469C22semidirect
55. C2×#469C22semidirect
56. C2×#469C22semidirect
57. C2×#469C22semidirect
58. C2×#468C22semidirect
59. C2×#468C22semidirect
60. C2×#465C22semidirect
61. C2×#465C22semidirect
62. C2×#464C22semidirect
63. C2×#460C22semidirect
65. C2×#463C22semidirect
66. C2×#463C22semidirect
67. C2×#463C22semidirect
69. C2×#459C22semidirect
70. C2×#459C22semidirect
71. C2×#459C22semidirect
72. C2×#452C22semidirect
73. C2×#452C22semidirect
74. C2×#452C22semidirect
76. C2×#449C22semidirect
77. C2×#449C22semidirect
78. C2×#449C22semidirect
79. C2×#449C22semidirect
80. C2×#450C22semidirect
81. C2×#450C22semidirect
85. C2×#447C22semidirect
86. C2×#447C22semidirect
87. C2×#447C22semidirect
88. C2×#447C22semidirect
89. C2×#447C22semidirect
90. C2×#447C22semidirect
91. C2×#447C22semidirect
93. C2×#442C22semidirect
94. C2×C4×SD16C22semidirect
95. C2×C4×D8C22semidirect
96. C2×#436C22semidirect
97. C2×#436C22semidirect
98. C2×#435C22semidirect
99. C2×#435C22semidirect
104. #2657C22semidirect
107. #2541C22semidirect
108. #2541C22semidirect
109. #2540C22semidirect
110. #2540C22semidirect
111. #2540C22semidirect
115. #2537C22semidirect
116. #2537C22semidirect
117. #2536C22semidirect
118. #2535C22semidirect
126. #2408C22semidirect
127. #2408C22semidirect
128. #2407C22semidirect
129. #2407C22semidirect
132. #2328C22semidirect
133. #2326C22semidirect
134. #2275C22semidirect
135. #2035C22semidirect
136. #2035C22semidirect
137. #2034C22semidirect
138. #2034C22semidirect
139. #2034C22semidirect
140. #2034C22semidirect
141. #2033C22semidirect
142. #2033C22semidirect
143. #2015C22semidirect
144. #2014C22semidirect
145. #2012C22semidirect
146. #2012C22semidirect
147. #2012C22semidirect
148. #2011C22semidirect
149. #2011C22semidirect
150. #2011C22semidirect
151. #2001C22semidirect
152. #2000C22semidirect
153. #2000C22semidirect
154. #2000C22semidirect
155. #2000C22semidirect
156. #2000C22semidirect
157. #2000C22semidirect
158. #1999C22semidirect
159. #1999C22semidirect
160. #1999C22semidirect
161. #1999C22semidirect
162. #1999C22semidirect
163. #1999C22semidirect
164. #1999C22semidirect
165. #1999C22semidirect
166. #1999C22semidirect
167. #1983C22semidirect
168. #1982C22semidirect
169. #1961C22semidirect
170. #1959C22semidirect
171. #1958C22semidirect
172. #1957C22semidirect
173. #1955C22semidirect
174. #1955C22semidirect
175. #1954C22semidirect
176. #1954C22semidirect
177. #1949C22semidirect
178. #1948C22semidirect
179. #1927C22semidirect
180. #1926C22semidirect
181. #1926C22semidirect
182. #1925C22semidirect
183. #1895C22semidirect
184. #1895C22semidirect
185. #1894C22semidirect
186. #1893C22semidirect
188. #1879C22semidirect
189. #1879C22semidirect
190. #1877C22semidirect
191. #1870C22semidirect
192. #1870C22semidirect
193. #1870C22semidirect
194. #1869C22semidirect
195. #1804C22semidirect
196. #1802C22semidirect
197. #1788C22semidirect
198. #1786C22semidirect
199. #1786C22semidirect
200. #1786C22semidirect
201. #1768C22semidirect
202. #1768C22semidirect
203. #1763C22semidirect
204. #1762C22semidirect
205. C4×#102C22semidirect
206. C4×#102C22semidirect
375. #463D4semidirect
380. #459D4semidirect
714. C2×SD16C2×D4semidirect
783. #127C2×D4semidirect
791. #124C2×D4semidirect
891. C4×D4C2×D4semidirect
987. C4⋊C8C2×D4semidirect
988. C4⋊C8C2×D4semidirect
995. #103C2×D4semidirect
1018. #102C2×D4semidirect
1019. #102C2×D4semidirect
1020. #102C2×D4semidirect

Maximal subgroups

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

subgroupindex
C2×#32742
C2×#32732
C2×#32642
#449322
#359212
#305152
#305112
#305092
#305032
#284542
#284522
#257702
#257652
#257622
#257572
#254022
#254012
#253922
#253902
#242572
#242482
#242472
#242362
#238632
#238612
#238602
#238482
#231782
#215132
#215102