Finite Group Databasebeta

← #7563187

Subgroups — #7563187

Order 512.

2930 conjugacy classes of subgroups.

The subgroup lattice has 1791 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3272C211yesmaximal, characteristic, complemented
2C2×#3269C211yesmaximal, characteristic, complemented
3C2×#3268C211yesmaximal, characteristic, complemented
4C2×#3153C211yesmaximal, characteristic, complemented
5#59131C211yesmaximal, characteristic, complemented
6#59066C211yesmaximal, characteristic, complemented
7#30455C211yesmaximal, characteristic, complemented
8#30452C211yesmaximal, characteristic, complemented
9#30451C211yesmaximal, characteristic, complemented
10#30446C211yesmaximal, characteristic, complemented
11#28492C211yesmaximal, characteristic, complemented
12#28478C211yesmaximal, characteristic, complemented
13#25796C211yesmaximal, characteristic, complemented
14#25775C211yesmaximal, characteristic, complemented
15#25769C211yesmaximal, characteristic, complemented
16#25765C211yesmaximal, characteristic, complemented
17#25429C211yesmaximal, characteristic, complemented
18#25413C211yesmaximal, characteristic, complemented
19#25382C211yesmaximal, characteristic, complemented
20#25376C211yesmaximal, characteristic, complemented
21#24276C211yesmaximal, characteristic, complemented
22#24275C211yesmaximal, characteristic, complemented
23#24217C211yesmaximal, characteristic, complemented
24#24210C211yesmaximal, characteristic, complemented
25#23871C211yesmaximal, characteristic, complemented
26#23865C211yesmaximal, characteristic, complemented
27#23864C211yesmaximal, characteristic, complemented
28#23860C211yesmaximal, characteristic, complemented
29#23195C211yesmaximal, characteristic, complemented
30#21540C211yesmaximal, characteristic, complemented
31#21490C211yesmaximal, characteristic, complemented
32C22×#137C2211yescharacteristic, complemented
33C22×#137C2211yescharacteristic, complemented
34C22×AGL(1,ℤ/8)C2211yescharacteristic
35C22×AGL(1,ℤ/8)C2211yescharacteristic
36C22×AGL(1,ℤ/8)C2211yescharacteristic
37C22×#135C2211yescharacteristic, complemented
38C2×#550C2211yescharacteristic, complemented
39C2×#548C2211yescharacteristic
40C2×#547C2211yescharacteristic
41C2×#547C2211yescharacteristic, complemented
42C2×#546C2211yescharacteristic
43C2×D42C2211yescharacteristic
44C2×#532C2211yescharacteristic, complemented
45C22×#124C2211yescharacteristic
46#3272—28no—
47#3269—28no—
48#3268—28no—
49#3153—28no—
50C2×#497C2211yescharacteristic
51C2×#497C2211yescharacteristic, complemented
52C2×#497C2211yescharacteristic, complemented
53C2×#496C2211yescharacteristic
54C2×#496C2211yescharacteristic, complemented
55C2×#495C2211yescharacteristic
56C2×#495C2211yescharacteristic
57C2×#495C2211yescharacteristic, complemented
58C2×#495C2211yescharacteristic, complemented
59C2×#492C2211yescharacteristic
60C2×#470C2211yescharacteristic, complemented
61C2×#468C2211yescharacteristic
62C2×#468C2211yescharacteristic
63C2×#468C2211yescharacteristic, complemented
64C2×#467C2211yescharacteristic, complemented
65C2×#466C2211yescharacteristic
66C2×#465C2211yescharacteristic, complemented
67C2×#464C2211yescharacteristic
68C2×#464C2211yescharacteristic, complemented
69C2×#462C2211yescharacteristic, complemented
70C2×#463C2211yescharacteristic, complemented
71C2×#461C2211yescharacteristic
72C2×#461C2211yescharacteristic, complemented
73C2×#459C2211yescharacteristic
74C2×#459C2211yescharacteristic, complemented
75C2×#452C2211yescharacteristic, complemented
76C2×#452C2211yescharacteristic, complemented
77C2×#452C2211yescharacteristic, complemented
78C2×#452C2211yescharacteristic, complemented
79C2×#452C2211yescharacteristic, complemented
80C2×#449C2211yescharacteristic
81C2×#449C2211yescharacteristic
82C2×#449C2211yescharacteristic
83C2×#449C2211yescharacteristic
84C2×#449C2211yescharacteristic, complemented
85C2×#449C2211yescharacteristic, complemented
86C2×#451C2211yescharacteristic, complemented
87C2×#450C2211yescharacteristic
88C2×#450C2211yescharacteristic
89C2×#450C2211yescharacteristic
90C2×#447C2211yescharacteristic
91C2×#440C2211yescharacteristic, complemented
92C2×#440C2211yescharacteristic, complemented
93C2×C4×D8C2211yescharacteristic
94C2×#436C2211yescharacteristic
95C2×#435C2211yescharacteristic, complemented
96C2×#435C2211yescharacteristic, complemented
97C2×C4×M16C2211yescharacteristic, complemented
98#2672—21no—
99#2671—21no—
100#2671—21no—
101#2670—21no—
102#2555—21no—
103#2546C2211yescharacteristic, complemented
104#2544C2211yescharacteristic
105#2542C2211yescharacteristic, complemented
106#2540C2211yescharacteristic
107#2472—21no—
108#2445—21no—
109#2443—21no—
110#2443—21no—
111#2435C2211yescharacteristic
112#2432C2211yescharacteristic, complemented
113#2432C2211yescharacteristic, complemented
114#2431C2211yescharacteristic
115#2428—21no—
116#2427C2211yescharacteristic
117#2427C2211yescharacteristic, complemented
118#2427C2211yescharacteristic, complemented
119#2426C2211yescharacteristic
120#2424—21no—
121#2422—21no—
122#2418—21no—
123#2410—21no—
124#2409C2211yescharacteristic
125#2408C2211yescharacteristic
126#2407C2211yescharacteristic
127#2407C2211yescharacteristic, complemented
128#2367C2211yescharacteristic
129#2366C2211yescharacteristic, complemented
130D4×C4⋊C4—21no—
131D4×C22⋊C4—21no—
132C4×C22⋊Q8C2211yescharacteristic, complemented
133C4×#121C2211yescharacteristic
134C4×#121C2211yescharacteristic
135#2056C2211yescharacteristic, complemented
136#2055C2211yescharacteristic
137#2055C2211yescharacteristic, complemented
138#2054C2211yescharacteristic, complemented
139#2042C2211yescharacteristic
140#2042C2211yescharacteristic, complemented
141#2042C2211yescharacteristic, complemented
142#2042C2211yescharacteristic, complemented
143#2016C2211yescharacteristic, complemented
144#2016C2211yescharacteristic, complemented
145#2015C2211yescharacteristic
146#2015C2211yescharacteristic, complemented
147#2015C2211yescharacteristic, complemented
148#2014C2211yescharacteristic
149#2013C2211yescharacteristic
150#2013C2211yescharacteristic, complemented
151#2012C2211yescharacteristic, complemented
152#2012C2211yescharacteristic, complemented
153#2012C2211yescharacteristic, complemented
154#2011C2211yescharacteristic
155#2001C2211yescharacteristic, complemented
156#2001C2211yescharacteristic, complemented
157#2001C2211yescharacteristic, complemented
158#2001C2211yescharacteristic, complemented
159#2000C2211yescharacteristic
160#2000C2211yescharacteristic
161#2000C2211yescharacteristic
162#2000C2211yescharacteristic, complemented
163#2000C2211yescharacteristic, complemented
164#2000C2211yescharacteristic, complemented
165#1999C2211yescharacteristic
166#1999C2211yescharacteristic, complemented
167#1983C2211yescharacteristic
168#1983C2211yescharacteristic, complemented
169#1982C2211yescharacteristic, complemented
170#1981C2211yescharacteristic, complemented
171#1973C2211yescharacteristic, complemented
172#1972C2211yescharacteristic
173#1969C2211yescharacteristic, complemented
174#1968C2211yescharacteristic, complemented
175#1968C2211yescharacteristic, complemented
176#1955C2211yescharacteristic, complemented
177#1942C2211yescharacteristic, complemented
178#1940C2211yescharacteristic, complemented
179#1934C2211yescharacteristic, complemented
180#1933C2211yescharacteristic, complemented
181#1923C2211yescharacteristic, complemented
182#1923C2211yescharacteristic, complemented
183#1895C2211yescharacteristic
184#1894C2211yescharacteristic, complemented
185#1880C2211yescharacteristic, complemented
186#1879C2211yescharacteristic
187#1879C2211yescharacteristic
188#1879C2211yescharacteristic, complemented
189#1878C2211yescharacteristic, complemented
190#1877C2211yescharacteristic
191#1877C2211yescharacteristic, complemented
192#1877C2211yescharacteristic, complemented
193#1870C2211yescharacteristic
194#1870C2211yescharacteristic, complemented
195#1809C2211yescharacteristic, complemented
196#1797C2211yescharacteristic, complemented
197#1788C2211yescharacteristic, complemented
198#1788C2211yescharacteristic, complemented
199#1787C2211yescharacteristic, complemented
200#1786C2211yescharacteristic
201#1776C2211yescharacteristic, complemented
202#1771C2211yescharacteristic, complemented
203#1763C2211yescharacteristic, complemented
204#1762C2211yescharacteristic, complemented
205#1753C2211yescharacteristic, complemented
206C8×C22⋊C4C2211yescharacteristic, complemented
207C22×#41C2311yescharacteristic
208C22×#41C2311yescharacteristic
209C22×#41C2311yescharacteristic
210C22×#41C2311yescharacteristic
211C22×#41C2311yescharacteristic
212C23×Q8C2311yescharacteristic
213C23×D4—21no—
214C23×D4C2311yescharacteristic
215C23×D4C2311yescharacteristic
216C2×#137—24no—
217C2×#137—24no—
218C2×#137—24no—
219C2×#137—42no—
220C2×#137—42no—
221C2×#137—42no—
222C2×AGL(1,ℤ/8)—24no—
223C2×AGL(1,ℤ/8)—24no—
224C2×AGL(1,ℤ/8)—24no—
225C2×AGL(1,ℤ/8)—24no—
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×#135—24no—
232C2×#135—24no—
233C2×#135—42no—
234C22×Q16C2311yescharacteristic
235C22×Q16C2311yescharacteristic
236C22×Q16C2311yescharacteristic
237C22×Q16C2311yescharacteristic
238C22×Q16C2311yescharacteristic
239C22×Q16C2311yescharacteristic
240C22×SD16C2311yescharacteristic
241C22×SD16C2311yescharacteristic
242C22×SD16C2311yescharacteristic
243C22×SD16C2311yescharacteristic
244C22×SD16C2311yescharacteristic
245C22×SD16C2311yescharacteristic
246C22×SD16C2311yescharacteristic
247C22×SD16C2311yescharacteristic
248C22×SD16C2311yescharacteristic
249C22×SD16C2311yescharacteristic
250C22×SD16C2311yescharacteristic
251C22×SD16C2311yescharacteristic
252C22×SD16C2311yescharacteristic
253C22×D8C2311yescharacteristic
254C22×D8C2311yescharacteristic
255C22×D8C2311yescharacteristic
256C22×D8C2311yescharacteristic
257C22×D8C2311yescharacteristic
258C22×D8C2311yescharacteristic
259C22×M16C2311yescharacteristic
260C22×M16C2311yescharacteristic
261C22×M16C2311yescharacteristic
262C23×C8C2311yescharacteristic
263#550—24no—
264#550—42no—
265#548—24no—
266#548—42no—
267#547—24no—
268#547—24no—
269#547—42no—
270#547—42no—
271#546—24no—
272#546—42no—
273D42—24no—
274D42—42no—
275#532—24no—
276#532—42no—
277C2×C4⋊Q8C2311yescharacteristic
278C2×C4⋊Q8C2311yescharacteristic
279C2×C4⋊Q8C2311yescharacteristic
280C2×#127—21no—
281C2×#127C2311yescharacteristic
282C2×#127C2311yescharacteristic
283C2×#124—21no—
284C2×#124—24no—
285C2×#124—21no—
286C2×#124—21no—
287C2×#124—42no—
288C2×#124C2311yescharacteristic
289C2×#124C2311yescharacteristic
290C2×#124C2311yescharacteristic
291C2×#124C2311yescharacteristic
292C2×#124C2311yescharacteristic
293C2×#124C2311yescharacteristic
294C2×#124C2311yescharacteristic
295C2×#123—21no—
296C2×#123—21no—
297C2×#123—21no—
298C2×#123—21no—
299C2×#123—21no—
300C2×C22⋊Q8—21no—
301C2×C22⋊Q8C2311yescharacteristic
302C2×C22⋊Q8C2311yescharacteristic
303C2×C22⋊Q8C2311yescharacteristic
304C2×C22⋊Q8C2311yescharacteristic
305C2×C22⋊Q8C2311yescharacteristic
306C2×C22⋊Q8C2311yescharacteristic
307C2×C22⋊Q8C2311yescharacteristic
308C2×C22⋊Q8C2311yescharacteristic
309C2×#121—21no—
310C2×#121—21no—
311C2×#121—21no—
312C2×#121—21no—
313C2×#121—21no—
314C2×#121—21no—
315C2×#121—21no—
316C2×#121—21no—
317C2×#121—21no—
318C2×#121D411yescharacteristic
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×C4×Q8C2311yescharacteristic
330C2×C4×Q8C2311yescharacteristic
331C2×C4×D4—21no—
332C2×C4×D4—21no—
333C2×C4×D4—21no—
334C2×C4×D4—21no—
335C2×C4×D4—21no—
336C2×C4×D4—21no—
337C2×C4×D4C2311yescharacteristic
338C2×C4×D4C2311yescharacteristic
339C2×C4×D4C2311yescharacteristic
340C2×C4×D4C2311yescharacteristic
341C2×C4×D4C2311yescharacteristic
342C2×C4×D4C2311yescharacteristic
343C2×C4×D4C2311yescharacteristic
344C22×C4⋊C4—21no—
345C22×C4⋊C4—21no—
346C22×C22⋊C4—21no—
347C22×C22⋊C4—21no—
348C22×C22⋊C4—21no—
349C22×C42C2311yescharacteristic
350#497—24no—
351#497—24no—
352#497—24no—
353#496—24no—
354#496D418yescomplemented
355#495—24no—
356#495—24no—
357#495—24no—
358#495—24no—
359#492—24no—
360#470—42no—
361#468—24no—
362#468—24no—
363#468D418yescomplemented
364#467—24no—
365#466—24no—
366#465—42no—
367#464—24no—
368#464—42no—
369#463—24no—
370#462—24no—
371#461—24no—
372#461—42no—
373#459—24no—
374#459—24no—
375#452—24no—
376#452—24no—
377#452—24no—
378#452—42no—
379#452—42no—
380#451—24no—
381#450—24no—
382#450—24no—
383#450—42no—
384#449—24no—
385#449—24no—
386#449—24no—
387#449—24no—
388#449—24no—
389#449—42no—
390#447—24no—
391#440—24no—
392#440—24no—
393C4×D8—24no—
394#436—24no—
395#435—24no—
396#435—24no—
397C2×#107C2311yescharacteristic
398C2×#107C2311yescharacteristic
399C2×#106C2311yescharacteristic
400C2×C4⋊C8C2311yescharacteristic
401C2×C4⋊C8C2311yescharacteristic
402C2×C4⋊C8C2311yescharacteristic
403C2×C4⋊C8C2311yescharacteristic
404C2×#103C2311yescharacteristic
405C2×#103C2311yescharacteristic
406C2×#103C2311yescharacteristic
407C2×#103C2311yescharacteristic
408C2×#103C2311yescharacteristic
409C2×#103C2311yescharacteristic
410C2×#103C2311yescharacteristic
411C2×#103C2311yescharacteristic
412C2×#103C2311yescharacteristic
413C2×#103C2311yescharacteristic
414C2×#103C2311yescharacteristic
415C2×#103C2311yescharacteristic
416C2×#103C2311yescharacteristic
417C2×#103C2311yescharacteristic
418C2×#103C2311yescharacteristic
419C2×#102C2311yescharacteristic
420C2×#102C2311yescharacteristic
421C2×#102C2311yescharacteristic
422C2×#102C2311yescharacteristic
423C2×#102C2311yescharacteristic
424C2×#102C2311yescharacteristic
425C2×#102C2311yescharacteristic
426C2×#102C2311yescharacteristic
427C2×#102C2311yescharacteristic
428C2×#102C2311yescharacteristic
429C2×#102C2311yescharacteristic
430C2×#102C2311yescharacteristic
431C2×#102C2311yescharacteristic
432C2×#102C2311yescharacteristic
433C2×#102C2311yescharacteristic
434C2×C22⋊C8C2311yescharacteristic
435C2×C22⋊C8C2311yescharacteristic
436C2×C22⋊C8C2311yescharacteristic
437C2×C22⋊C8C2311yescharacteristic
438C2×C22⋊C8C2311yescharacteristic
439C2×C22⋊C8C2311yescharacteristic
440C2×C22⋊C8C2311yescharacteristic
441C2×C22⋊C8C2311yescharacteristic
442C4×M16—24no—
443C2×#97C2311yescharacteristic
444C2×#97C2311yescharacteristic
445C2×#97C2311yescharacteristic
446C2×C4×C8C2311yescharacteristic
447C2×C4×C8C2311yescharacteristic
448C2×C4×C8C2311yescharacteristic
449#399—21no—
450#399—21no—
451#399—21no—
452#398—21no—
453#398—21no—
454#397—21no—
455#397—21no—
456#397—21no—
457#396—21no—
458#395—21no—
459#394—21no—
460#394—21no—
461#394—21no—
462#394—21no—
463#394—21no—
464#394—21no—
465#394—21no—
466#394—21no—
467#394—21no—
468#394—21no—
469#394—21no—
470#394—21no—
471#394—21no—
472#394—21no—
473#394—21no—
474#393—21no—
475#392—21no—
476#392—21no—
477#392—21no—
478#392—21no—
479#392—21no—
480#392—21no—
481#391C2311yescharacteristic
482#391C2311yescharacteristic
483#391C2311yescharacteristic
484#391C2311yescharacteristic
485#391C2311yescharacteristic
486#390—21no—
487#390—21no—
488#390—21no—
489#390—21no—
490#390—21no—
491#390D411yescharacteristic
492#390C2311yescharacteristic
493#390C2311yescharacteristic
494#390C2311yescharacteristic
495#390C2311yescharacteristic
496#390C2311yescharacteristic
497#389—21no—
498#389—21no—
499#389D411yescharacteristic
500#389C2311yescharacteristic
501#389C2311yescharacteristic
502#388—21no—
503#388—21no—
504#388—21no—
505#388—21no—
506#388D411yescharacteristic
507#388D411yescharacteristic
508#387—21no—
509#386—21no—
510#386—21no—
511#386—21no—
512#386—21no—
513#386—21no—
514#386—21no—
515#386—21no—
516#386—21no—
517#386—21no—
518#386—21no—
519#386—21no—
520#386—21no—
521#386—21no—
522#386D411yescharacteristic
523#386D411yescharacteristic
524#385—21no—
525#385—21no—
526#385—21no—
527#385—21no—
528#385—21no—
529#385—21no—
530#385—21no—
531#385—21no—
532#385—21no—
533#384—21no—
534#380—21no—
535#380—21no—
536#380—21no—
537#380D411yescharacteristic
538#380C2311yescharacteristic
539#380C2311yescharacteristic
540#379—21no—
541#379—21no—
542#379—21no—
543C4×C4⋊C4—21no—
544C4×C4⋊C4C2311yescharacteristic
545C4×C4⋊C4C2311yescharacteristic
546C4×C4⋊C4C2311yescharacteristic
547C4×C22⋊C4—21no—
548C4×C22⋊C4—21no—
549C4×C22⋊C4—21no—
550C4×C22⋊C4C2311yescharacteristic
551C4×C22⋊C4C2311yescharacteristic
552#340C2311yescharacteristic
553#340C2311yescharacteristic
554#340C2311yescharacteristic
555#340C2311yescharacteristic
556#340C2311yescharacteristic
557#340C2311yescharacteristic
558#336C2311yescharacteristic
559#336C2311yescharacteristic
560#336C2311yescharacteristic
561#336C2311yescharacteristic
562#336C2311yescharacteristic
563#336C2311yescharacteristic
564C25—21no—
565C25—21no—
566C2×#41—22no—
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—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—
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—
596C22×Q8—21no—
597C22×Q8—22no—
598C22×Q8—22no—
599C22×Q8—22no—
600C22×Q8—41no—
601C22×Q8—41no—
602C22×Q8—41no—
603C22×Q8C2411yescharacteristic
604C22×Q8C2411yescharacteristic
605C22×Q8C2411yescharacteristic
606C22×Q8C2411yescharacteristic
607C22×Q8C2411yescharacteristic
608C22×D4—21no—
609C22×D4—22no—
610C22×D4—22no—
611C22×D4—22no—
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—22no—
625C22×D4—21no—
626C22×D4—21no—
627C22×D4—21no—
628C22×D4—21no—
629C22×D4—22no—
630C22×D4—41no—
631C22×D4—41no—
632C22×D4—41no—
633C22×D4—41no—
634C22×D4—41no—
635C22×D4—41no—
636C22×D4—41no—
637C22×D4—44no—
638C22×D4—44no—
639C22×D4—82no—
640C22×D4C2×D411yescharacteristic
641C22×D4C2×D411yescharacteristic
642C22×D4C2×D411yescharacteristic
643C22×D4C2411yescharacteristic
644C22×D4C2411yescharacteristic
645C22×D4C2411yescharacteristic
646C22×D4C2411yescharacteristic
647C22×D4C2411yescharacteristic
648C23×C4—21no—
649C23×C4—21no—
650C23×C4—21no—
651C23×C4—21no—
652C23×C4—21no—
653C23×C4—21no—
654C23×C4—21no—
655C23×C4—21no—
656C23×C4—21no—
657C23×C4—21no—
658C23×C4C2×D411yescharacteristic
659C23×C4C2×D411yescharacteristic
660C23×C4C2411yescharacteristic
661C23×C4C2411yescharacteristic
662C23×C4C2411yescharacteristic
663#137—416no—
664#137—416no—
665AGL(1,ℤ/8)—416no—
666AGL(1,ℤ/8)—416no—
667AGL(1,ℤ/8)—416no—
668#135—416no—
669C2×Q16—22no—
670C2×Q16—22no—
671C2×Q16—22no—
672C2×Q16—22no—
673C2×Q16—22no—
674C2×Q16—22no—
675C2×Q16—22no—
676C2×Q16—22no—
677C2×Q16—22no—
678C2×Q16—22no—
679C2×Q16—22no—
680C2×Q16—41no—
681C2×Q16—41no—
682C2×Q16—41no—
683C2×Q16—41no—
684C2×Q16—41no—
685C2×Q16—41no—
686C2×Q16—41no—
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—22no—
699C2×SD16—22no—
700C2×SD16—22no—
701C2×SD16—22no—
702C2×SD16—22no—
703C2×SD16—22no—
704C2×SD16—22no—
705C2×SD16—22no—
706C2×SD16—22no—
707C2×SD16—22no—
708C2×SD16—41no—
709C2×SD16—41no—
710C2×SD16—41no—
711C2×SD16—41no—
712C2×SD16—41no—
713C2×SD16—41no—
714C2×SD16—41no—
715C2×SD16—41no—
716C2×SD16—41no—
717C2×SD16—41no—
718C2×SD16—41no—
719C2×SD16—41no—
720C2×SD16—41no—
721C2×SD16—41no—
722C2×SD16—41no—
723C2×SD16C2×D414yes—
724C2×SD16C2×D414yescomplemented
725C2×SD16C2×D414yescomplemented
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—22no—
735C2×D8—22no—
736C2×D8—41no—
737C2×D8—41no—
738C2×D8—41no—
739C2×D8—41no—
740C2×D8—41no—
741C2×D8—41no—
742C2×D8C2×D414yes—
743C2×D8C2×D414yes—
744C2×M16—22no—
745C2×M16—22no—
746C2×M16—22no—
747C2×M16—22no—
748C2×M16—22no—
749C2×M16—22no—
750C2×M16—22no—
751C2×M16—22no—
752C2×M16C2×D414yes—
753C22×C8—22no—
754C22×C8—22no—
755C22×C8—22no—
756C22×C8C2411yescharacteristic
757C22×C8C2411yescharacteristic
758C22×C8C2411yescharacteristic
759C22×C8C2411yescharacteristic
760C22×C8C2411yescharacteristic
761C22×C8C2411yescharacteristic
762C22×C8C2411yescharacteristic
763C22×C8C2411yescharacteristic
764C4⋊Q8—22no—
765C4⋊Q8—22no—
766C4⋊Q8—22no—
767C4⋊Q8—22no—
768C4⋊Q8—41no—
769C4⋊Q8—41no—
770#127—22no—
771#127—22no—
772#127—41no—
773#127—44no—
774#127C2×D414yescomplemented
775#124—22no—
776#124—22no—
777#124—22no—
778#124—22no—
779#124—22no—
780#124—22no—
781#124—22no—
782#124—22no—
783#124—44no—
784#124—44no—
785#124—41no—
786#124—41no—
787#124—41no—
788#124—41no—
789#124—41no—
790#124—44no—
791#124C2×D414yes—
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—44no—
803C22⋊Q8—41no—
804C22⋊Q8—41no—
805C22⋊Q8—41no—
806C22⋊Q8—41no—
807C22⋊Q8—41no—
808C22⋊Q8—41no—
809C22⋊Q8—41no—
810C22⋊Q8—41no—
811C22⋊Q8—41no—
812C22⋊Q8—41no—
813C22⋊Q8C2×D414yes—
814#121—22no—
815#121—22no—
816#121—22no—
817#121—22no—
818#121—22no—
819#121—44no—
820#121—42no—
821#121—44no—
822#121—44no—
823#121—44no—
824#121—44no—
825#121—44no—
826#121—41no—
827#121—41no—
828#121—41no—
829#121—41no—
830#121—44no—
831#121—44no—
832#121—44no—
833#121—41no—
834#121—41no—
835#121C2×D414yes—
836#120—44no—
837#120—44no—
838#120—44no—
839#120—82no—
840C4×Q8—22no—
841C4×Q8—22no—
842C4×Q8—22no—
843C4×Q8—41no—
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—41no—
856C4×D4—41no—
857C4×D4—41no—
858C4×D4—44no—
859C4×D4—44no—
860C4×D4—44no—
861C4×D4—44no—
862C4×D4—44no—
863C4×D4—82no—
864C2×C4⋊C4—21no—
865C2×C4⋊C4—21no—
866C2×C4⋊C4—21no—
867C2×C4⋊C4—21no—
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—44no—
883C2×C4⋊C4—44no—
884C2×C4⋊C4C2×D411yescharacteristic
885C2×C4⋊C4C2×D411yescharacteristic
886C2×C4⋊C4C2×D411yescharacteristic
887C2×C4⋊C4C2×D411yescharacteristic
888C2×C4⋊C4C2×D411yescharacteristic
889C2×C4⋊C4C2411yescharacteristic
890C2×C4⋊C4C2411yescharacteristic
891C2×C4⋊C4C2411yescharacteristic
892C2×C4⋊C4C2411yescharacteristic
893C2×C4⋊C4C2411yescharacteristic
894C2×C4⋊C4C2411yescharacteristic
895C2×C22⋊C4—21no—
896C2×C22⋊C4—21no—
897C2×C22⋊C4—21no—
898C2×C22⋊C4—21no—
899C2×C22⋊C4—21no—
900C2×C22⋊C4—21no—
901C2×C22⋊C4—21no—
902C2×C22⋊C4—21no—
903C2×C22⋊C4—21no—
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—44no—
940C2×C22⋊C4—44no—
941C2×C22⋊C4—44no—
942C2×C22⋊C4C2×D411yescharacteristic
943C2×C22⋊C4C2×D411yescharacteristic
944C2×C22⋊C4C2×D411yescharacteristic
945C2×C22⋊C4C2×D411yescharacteristic
946C2×C22⋊C4C2×D411yescharacteristic
947C2×C22⋊C4C2×D411yescharacteristic
948C2×C22⋊C4C2×D411yescharacteristic
949C2×C22⋊C4C2×D411yescharacteristic
950C2×C22⋊C4C2×D411yescharacteristic
951C2×C22⋊C4C2×D411yescharacteristic
952C2×C42—22no—
953C2×C42—22no—
954C2×C42—21no—
955C2×C42—21no—
956C2×C42—21no—
957C2×C42—21no—
958C2×C42C2×D411yescharacteristic
959C2×C42C2×D411yescharacteristic
960C2×C42C2411yescharacteristic
961C2×C42C2411yescharacteristic
962C2×C42C2411yescharacteristic
963C2×C42C2411yescharacteristic
964#107—22no—
965#107C2×D414yes—
966#106—22no—
967C4⋊C8—22no—
968C4⋊C8—22no—
969C4⋊C8—22no—
970C4⋊C8—22no—
971#103—22no—
972#103—22no—
973#103—22no—
974#103—22no—
975#103—22no—
976#103—22no—
977#103—22no—
978#103—41no—
979#103—41no—
980#103—41no—
981#103—41no—
982#103—41no—
983#103—41no—
984#103—41no—
985#103C2×D414yes—
986#102—22no—
987#102—22no—
988#102—22no—
989#102—22no—
990#102—22no—
991#102—22no—
992#102—22no—
993#102—22no—
994#102—22no—
995#102—41no—
996#102—41no—
997#102—41no—
998#102—41no—
999#102—41no—
1000#102C2×D414yes—
1001C22⋊C8—22no—
1002C22⋊C8—22no—
1003C22⋊C8—22no—
1004C22⋊C8—22no—
1005C22⋊C8—22no—
1006C22⋊C8—22no—
1007C22⋊C8—22no—
1008C22⋊C8—22no—
1009#97—22no—
1010#97—22no—
1011#97C2×D414yescomplemented
1012C4×C8—22no—
1013C4×C8—22no—
1014C4×C8—22no—
1015#95—21no—
1016#95—21no—
1017#95—21no—
1018#95—21no—
1019#95—21no—
1020#95—21no—
1021#95—21no—
1022#95—21no—
1023#95—21no—
1024#95—21no—
1025#95—21no—
1026#95—21no—
1027#95—21no—
1028#95—21no—
1029#95—21no—
1030#95—21no—
1031#95C2×D411yescharacteristic
1032#95C2×D411yescharacteristic
1033#95C2×D411yescharacteristic
1034#95C2×D411yescharacteristic
1035#95C2×D411yescharacteristic
1036#95C2×D411yescharacteristic
1037C24—21no—
1038C24—21no—
1039C24—21no—
1040C24—21no—
1041C24—21no—
1042C24—42no—
1043C24—42no—
1044C24—42no—
1045C24—42no—
1046C24—42no—
1047C24—42no—
1048C24—42no—
1049C24—81no—
1050C24—81no—
1051C24—81no—
1052C24—81no—
1053C24—81no—
1054C24—81no—
1055C24—81no—
1056C24C22×D411yescharacteristic
1057C24C22×D411yescharacteristic
1058C24C22×D411yescharacteristic
1059#41—44no—
1060#41—44no—
1061#41—44no—
1062#41—44no—
1063#41—44no—
1064#41—44no—
1065#41—44no—
1066#41—82no—
1067#41—82no—
1068#41—82no—
1069#41—82no—
1070#41—82no—
1071#41—82no—
1072#41—82no—
1073#41—82no—
1074#41—82no—
1075#41—82no—
1076#41—82no—
1077#41—82no—
1078#41—82no—
1079C2×Q8—21no—
1080C2×Q8—21no—
1081C2×Q8—21no—
1082C2×Q8—21no—
1083C2×Q8—21no—
1084C2×Q8—21no—
1085C2×Q8—21no—
1086C2×Q8—21no—
1087C2×Q8—21no—
1088C2×Q8—21no—
1089C2×Q8—21no—
1090C2×Q8—21no—
1091C2×Q8—21no—
1092C2×Q8—21no—
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—42no—
1108C2×Q8—44no—
1109C2×Q8—44no—
1110C2×Q8—42no—
1111C2×Q8—81no—
1112C2×Q8—82no—
1113C2×Q8—82no—
1114C2×Q8C22×D412yes—
1115C2×Q8C22×D412yes—
1116C2×D4—22no—
1117C2×D4—24no—
1118C2×D4—22no—
1119C2×D4—24no—
1120C2×D4—22no—
1121C2×D4—24no—
1122C2×D4—22no—
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—21no—
1148C2×D4—21no—
1149C2×D4—44no—
1150C2×D4—44no—
1151C2×D4—41no—
1152C2×D4—42no—
1153C2×D4—42no—
1154C2×D4—41no—
1155C2×D4—41no—
1156C2×D4—41no—
1157C2×D4—41no—
1158C2×D4—42no—
1159C2×D4—42no—
1160C2×D4—42no—
1161C2×D4—42no—
1162C2×D4—42no—
1163C2×D4—42no—
1164C2×D4—42no—
1165C2×D4—42no—
1166C2×D4—42no—
1167C2×D4—44no—
1168C2×D4—42no—
1169C2×D4—42no—
1170C2×D4—42no—
1171C2×D4—42no—
1172C2×D4—42no—
1173C2×D4—42no—
1174C2×D4—42no—
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—82no—
1184C2×D4—82no—
1185C2×D4—81no—
1186C2×D4—81no—
1187C2×D4—81no—
1188C2×D4—81no—
1189C2×D4—81no—
1190C2×D4—81no—
1191C2×D4—81no—
1192C2×D4—82no—
1193C2×D4—82no—
1194C2×D4—82no—
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—816no—
1211C2×D4C22×D412yes—
1212C2×D4C22×D412yes—
1213C2×D4C22×D412yes—
1214C2×D4C22×D412yes—
1215C22×C4—21no—
1216C22×C4—21no—
1217C22×C4—21no—
1218C22×C4—21no—
1219C22×C4—21no—
1220C22×C4—21no—
1221C22×C4—21no—
1222C22×C4—21no—
1223C22×C4—21no—
1224C22×C4—21no—
1225C22×C4—21no—
1226C22×C4—21no—
1227C22×C4—21no—
1228C22×C4—21no—
1229C22×C4—21no—
1230C22×C4—21no—
1231C22×C4—21no—
1232C22×C4—21no—
1233C22×C4—21no—
1234C22×C4—21no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—21no—
1238C22×C4—21no—
1239C22×C4—21no—
1240C22×C4—21no—
1241C22×C4—21no—
1242C22×C4—21no—
1243C22×C4—21no—
1244C22×C4—41no—
1245C22×C4—41no—
1246C22×C4—41no—
1247C22×C4—41no—
1248C22×C4—42no—
1249C22×C4—42no—
1250C22×C4—42no—
1251C22×C4—42no—
1252C22×C4—42no—
1253C22×C4—42no—
1254C22×C4—42no—
1255C22×C4—42no—
1256C22×C4—42no—
1257C22×C4—42no—
1258C22×C4—42no—
1259C22×C4—42no—
1260C22×C4—42no—
1261C22×C4—42no—
1262C22×C4—42no—
1263C22×C4—42no—
1264C22×C4—42no—
1265C22×C4—42no—
1266C22×C4—42no—
1267C22×C4—81no—
1268C22×C4—81no—
1269C22×C4—81no—
1270C22×C4—81no—
1271C22×C4—81no—
1272C22×C4—81no—
1273C22×C4—81no—
1274C22×C4—81no—
1275C22×C4—81no—
1276C22×C4—81no—
1277C22×C4—81no—
1278C22×C4C22×D411yescharacteristic
1279C22×C4C22×D411yescharacteristic
1280C22×C4C22×D411yescharacteristic
1281C22×C4C22×D411yescharacteristic
1282C22×C4C22×D411yescharacteristic
1283C22×C4C22×D411yescharacteristic
1284C22×C4C22×D411yescharacteristic
1285C22×C4C22×D411yescharacteristic
1286C22×C4C22×D411yescharacteristic
1287C22×C4C22×D411yescharacteristic
1288C22×C4C22×D412yes—
1289C22×C4C22×D411yescharacteristic
1290C22×C4H(5,𝔽2)12yes—
1291C22×C4C2511yescharacteristic
1292Q16—44no—
1293Q16—44no—
1294Q16—44no—
1295Q16—44no—
1296Q16—44no—
1297Q16—82no—
1298SD16—28no—
1299SD16—28no—
1300SD16—44no—
1301SD16—44no—
1302SD16—44no—
1303SD16—44no—
1304SD16—44no—
1305SD16—44no—
1306SD16—44no—
1307SD16—44no—
1308SD16—82no—
1309SD16—82no—
1310SD16—82no—
1311D8—28no—
1312D8—44no—
1313D8—44no—
1314D8—44no—
1315D8—44no—
1316D8—44no—
1317M16—28no—
1318M16—28no—
1319M16—44no—
1320C2×C8—21no—
1321C2×C8—21no—
1322C2×C8—21no—
1323C2×C8—21no—
1324C2×C8—21no—
1325C2×C8—21no—
1326C2×C8—21no—
1327C2×C8—21no—
1328C2×C8—21no—
1329C2×C8—21no—
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—44no—
1339C2×C8C22×D412yes—
1340C2×C8C22×D412yes—
1341C2×C8C22×D412yes—
1342C2×C8C22×D412yes—
1343C2×C8H(5,𝔽2)12yes—
1344C2×C8H(5,𝔽2)12yes—
1345C4⋊C4—24no—
1346C4⋊C4—22no—
1347C4⋊C4—22no—
1348C4⋊C4—22no—
1349C4⋊C4—22no—
1350C4⋊C4—21no—
1351C4⋊C4—21no—
1352C4⋊C4—21no—
1353C4⋊C4—21no—
1354C4⋊C4—21no—
1355C4⋊C4—21no—
1356C4⋊C4—21no—
1357C4⋊C4—21no—
1358C4⋊C4—21no—
1359C4⋊C4—21no—
1360C4⋊C4—41no—
1361C4⋊C4—42no—
1362C4⋊C4—42no—
1363C4⋊C4—42no—
1364C4⋊C4—42no—
1365C4⋊C4—42no—
1366C4⋊C4—42no—
1367C4⋊C4—42no—
1368C4⋊C4—42no—
1369C4⋊C4—42no—
1370C4⋊C4—42no—
1371C4⋊C4—42no—
1372C4⋊C4—42no—
1373C4⋊C4—81no—
1374C4⋊C4—81no—
1375C4⋊C4—81no—
1376C4⋊C4—81no—
1377C4⋊C4—81no—
1378C4⋊C4C22×D412yes—
1379C4⋊C4C22×D412yes—
1380C22⋊C4—24no—
1381C22⋊C4—22no—
1382C22⋊C4—22no—
1383C22⋊C4—24no—
1384C22⋊C4—24no—
1385C22⋊C4—24no—
1386C22⋊C4—22no—
1387C22⋊C4—22no—
1388C22⋊C4—22no—
1389C22⋊C4—22no—
1390C22⋊C4—22no—
1391C22⋊C4—41no—
1392C22⋊C4—41no—
1393C22⋊C4—41no—
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—42no—
1417C22⋊C4—42no—
1418C22⋊C4—42no—
1419C22⋊C4—42no—
1420C22⋊C4—42no—
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—
1434C42—22no—
1435C42—22no—
1436C42—21no—
1437C42—21no—
1438C42—21no—
1439C42—21no—
1440C42—21no—
1441C42—21no—
1442C42—42no—
1443C42—42no—
1444C42—42no—
1445C42—81no—
1446C42C22×D412yes—
1447C42H(5,𝔽2)12yes—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—22no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—22no—
1465C23—21no—
1466C23—22no—
1467C23—22no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—41no—
1473C23—41no—
1474C23—41no—
1475C23—41no—
1476C23—41no—
1477C23—41no—
1478C23—41no—
1479C23—41no—
1480C23—41no—
1481C23—41no—
1482C23—41no—
1483C23—41no—
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—84no—
1504C23—84no—
1505C23—84no—
1506C23—84no—
1507C23—84no—
1508C23—84no—
1509C23—84no—
1510C23—162no—
1511C23—162no—
1512C23—162no—
1513C23—162no—
1514C23—162no—
1515C23—162no—
1516C23—162no—
1517C23D4212yes—
1518C23C23×D411yescharacteristic
1519Q8—22no—
1520Q8—22no—
1521Q8—22no—
1522Q8—22no—
1523Q8—41no—
1524Q8—41no—
1525Q8—41no—
1526Q8—41no—
1527Q8—41no—
1528Q8—41no—
1529Q8—41no—
1530Q8—41no—
1531Q8—41no—
1532Q8—41no—
1533Q8—41no—
1534Q8—41no—
1535Q8—41no—
1536Q8—41no—
1537Q8—41no—
1538Q8—41no—
1539Q8—84no—
1540D4—22no—
1541D4—22no—
1542D4—22no—
1543D4—22no—
1544D4—22no—
1545D4—22no—
1546D4—22no—
1547D4—22no—
1548D4—44no—
1549D4—48no—
1550D4—48no—
1551D4—41no—
1552D4—41no—
1553D4—41no—
1554D4—41no—
1555D4—41no—
1556D4—41no—
1557D4—41no—
1558D4—41no—
1559D4—41no—
1560D4—41no—
1561D4—41no—
1562D4—41no—
1563D4—82no—
1564D4—84no—
1565D4—84no—
1566D4—84no—
1567D4—82no—
1568D4—84no—
1569D4—84no—
1570D4—84no—
1571D4—84no—
1572D4—84no—
1573D4—84no—
1574D4—84no—
1575D4—162no—
1576D4—162no—
1577D4—162no—
1578D4—162no—
1579D4—162no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—22no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—41no—
1618C2×C4—41no—
1619C2×C4—41no—
1620C2×C4—41no—
1621C2×C4—41no—
1622C2×C4—41no—
1623C2×C4—41no—
1624C2×C4—41no—
1625C2×C4—41no—
1626C2×C4—41no—
1627C2×C4—41no—
1628C2×C4—41no—
1629C2×C4—41no—
1630C2×C4—41no—
1631C2×C4—41no—
1632C2×C4—41no—
1633C2×C4—41no—
1634C2×C4—41no—
1635C2×C4—41no—
1636C2×C4—41no—
1637C2×C4—41no—
1638C2×C4—41no—
1639C2×C4—41no—
1640C2×C4—41no—
1641C2×C4—41no—
1642C2×C4—41no—
1643C2×C4—41no—
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—82no—
1655C2×C4—82no—
1656C2×C4—84no—
1657C2×C4—84no—
1658C2×C4—84no—
1659C2×C4—84no—
1660C2×C4—84no—
1661C2×C4—84no—
1662C2×C4—84no—
1663C2×C4—84no—
1664C2×C4—84no—
1665C2×C4—162no—
1666C2×C4D4212yes—
1667C2×C4D4212yes—
1668C2×C4D4212yes—
1669C2×C4#57512yes—
1670C2×C4C23×D411yescharacteristic
1671C2×C4C23×D411yescharacteristic
1672C2×C4C2×H(5,𝔽2)11yescharacteristic
1673C2×C4C2×H(5,𝔽2)11yescharacteristic
1674C2×C4C2×H(5,𝔽2)11yescharacteristic
1675C2×C4C2×H(5,𝔽2)11yescharacteristic
1676C8—22no—
1677C8—22no—
1678C8—22no—
1679C8—41no—
1680C8—41no—
1681C8—41no—
1682C8—41no—
1683C8D4214yes—
1684C22—22no—
1685C22—22no—
1686C22—22no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—42no—
1693C22—41no—
1694C22—42no—
1695C22—42no—
1696C22—41no—
1697C22—41no—
1698C22—42no—
1699C22—42no—
1700C22—42no—
1701C22—41no—
1702C22—41no—
1703C22—42no—
1704C22—42no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—42no—
1714C22—42no—
1715C22—42no—
1716C22—42no—
1717C22—81no—
1718C22—81no—
1719C22—81no—
1720C22—81no—
1721C22—81no—
1722C22—81no—
1723C22—81no—
1724C22—81no—
1725C22—81no—
1726C22—81no—
1727C22—81no—
1728C22—81no—
1729C22—81no—
1730C22—81no—
1731C22—81no—
1732C22—81no—
1733C22—81no—
1734C22—81no—
1735C22—81no—
1736C22—81no—
1737C22—81no—
1738C22—81no—
1739C22—81no—
1740C22—168no—
1741C22—168no—
1742C22C2×D4211yescharacteristic
1743C22C2×D4211yescharacteristic
1744C22#349811yescharacteristic
1745C22C2×#57511yescharacteristic
1746C22#358411yescharacteristic
1747C22#358511yescharacteristic
1748C22#358611yescharacteristic
1749C4—22no—
1750C4—22no—
1751C4—22no—
1752C4—22no—
1753C4—41no—
1754C4—42no—
1755C4—42no—
1756C4—41no—
1757C4—41no—
1758C4—41no—
1759C4—41no—
1760C4—41no—
1761C4—41no—
1762C4—42no—
1763C4—42no—
1764C4—81no—
1765C4—81no—
1766C4—81no—
1767C4—81no—
1768C4—81no—
1769C4—81no—
1770C4—81no—
1771C4C2×D4211yescharacteristic
1772C4#348411yescharacteristic
1773C4#349811yescharacteristic
1774C4#354311yescharacteristic
1775C2—42no—
1776C2—81no—
1777C2—81no—
1778C2—82no—
1779C2—82no—
1780C2—82no—
1781C2—82no—
1782C2—161no—
1783C2#5912611yescharacteristic
1784C2#6106611yescharacteristic
1785C2#6106711yescharacteristic
1786C2#6107411yescharacteristic
1787C2#6109611yescharacteristic
1788C2#6242911yescharacteristic
1789C2#6244511yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C4×#121 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3272C2semidirect
2. C2×#3269C2semidirect
3. C2×#3268C2semidirect
4. C2×#3153C2semidirect
5. #59131C2semidirect
6. #59066C2semidirect
7. #30455C2semidirect
8. #30452C2semidirect
9. #30451C2semidirect
10. #30446C2semidirect
11. #28492C2semidirect
12. #28478C2semidirect
13. #25796C2semidirect
14. #25775C2semidirect
15. #25769C2semidirect
16. #25765C2semidirect
17. #25429C2semidirect
18. #25413C2semidirect
19. #25382C2semidirect
20. #25376C2semidirect
21. #24276C2semidirect
22. #24275C2semidirect
23. #24217C2semidirect
24. #24210C2semidirect
25. #23871C2semidirect
26. #23865C2semidirect
27. #23864C2semidirect
28. #23860C2semidirect
29. #23195C2semidirect
30. #21540C2semidirect
31. #21490C2semidirect
32. C22×#137C22semidirect
33. C22×#137C22semidirect
37. C22×#135C22semidirect
38. C2×#550C22semidirect
41. C2×#547C22semidirect
44. C2×#532C22semidirect
51. C2×#497C22semidirect
52. C2×#497C22semidirect
54. C2×#496C22semidirect
57. C2×#495C22semidirect
58. C2×#495C22semidirect
60. C2×#470C22semidirect
63. C2×#468C22semidirect
64. C2×#467C22semidirect
66. C2×#465C22semidirect
68. C2×#464C22semidirect
69. C2×#462C22semidirect
70. C2×#463C22semidirect
72. C2×#461C22semidirect
74. C2×#459C22semidirect
75. C2×#452C22semidirect
76. C2×#452C22semidirect
77. C2×#452C22semidirect
78. C2×#452C22semidirect
79. C2×#452C22semidirect
84. C2×#449C22semidirect
85. C2×#449C22semidirect
86. C2×#451C22semidirect
91. C2×#440C22semidirect
92. C2×#440C22semidirect
95. C2×#435C22semidirect
96. C2×#435C22semidirect
97. C2×C4×M16C22semidirect
103. #2546C22semidirect
105. #2542C22semidirect
112. #2432C22semidirect
113. #2432C22semidirect
117. #2427C22semidirect
118. #2427C22semidirect
127. #2407C22semidirect
129. #2366C22semidirect
132. C4×C22⋊Q8C22semidirect
135. #2056C22semidirect
137. #2055C22semidirect
138. #2054C22semidirect
140. #2042C22semidirect
141. #2042C22semidirect
142. #2042C22semidirect
143. #2016C22semidirect
144. #2016C22semidirect
146. #2015C22semidirect
147. #2015C22semidirect
150. #2013C22semidirect
151. #2012C22semidirect
152. #2012C22semidirect
153. #2012C22semidirect
155. #2001C22semidirect
156. #2001C22semidirect
157. #2001C22semidirect
158. #2001C22semidirect
162. #2000C22semidirect
163. #2000C22semidirect
164. #2000C22semidirect
166. #1999C22semidirect
168. #1983C22semidirect
169. #1982C22semidirect
170. #1981C22semidirect
171. #1973C22semidirect
173. #1969C22semidirect
174. #1968C22semidirect
175. #1968C22semidirect
176. #1955C22semidirect
177. #1942C22semidirect
178. #1940C22semidirect
179. #1934C22semidirect
180. #1933C22semidirect
181. #1923C22semidirect
182. #1923C22semidirect
184. #1894C22semidirect
185. #1880C22semidirect
188. #1879C22semidirect
189. #1878C22semidirect
191. #1877C22semidirect
192. #1877C22semidirect
194. #1870C22semidirect
195. #1809C22semidirect
196. #1797C22semidirect
197. #1788C22semidirect
198. #1788C22semidirect
199. #1787C22semidirect
201. #1776C22semidirect
202. #1771C22semidirect
203. #1763C22semidirect
204. #1762C22semidirect
205. #1753C22semidirect
206. C8×C22⋊C4C22semidirect
354. #496D4semidirect
363. #468D4semidirect
724. C2×SD16C2×D4semidirect
725. C2×SD16C2×D4semidirect
774. #127C2×D4semidirect
1011. #97C2×D4semidirect

Maximal subgroups

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

subgroupindex
C2×#32722
C2×#32692
C2×#32682
C2×#31532
#591312
#590662
#304552
#304522
#304512
#304462
#284922
#284782
#257962
#257752
#257692
#257652
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