Finite Group Databasebeta

← #7563255

Subgroups — #7563255

Order 512.

2926 conjugacy classes of subgroups.

The subgroup lattice has 1800 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3278C211yesmaximal, characteristic, complemented
2C2×#3275C211yesmaximal, characteristic, complemented
3C2×#3272C211yesmaximal, characteristic, complemented
4C2×#3154C211yesmaximal, characteristic, complemented
5#45332C211yesmaximal, characteristic, complemented
6#44927C211yesmaximal, characteristic, complemented
7#30456C211yesmaximal, characteristic, complemented
8#30453C211yesmaximal, characteristic, complemented
9#30451C211yesmaximal, characteristic, complemented
10#30446C211yesmaximal, characteristic, complemented
11#28490C211yesmaximal, characteristic, complemented
12#28461C211yesmaximal, characteristic, complemented
13#25791C211yesmaximal, characteristic, complemented
14#25790C211yesmaximal, characteristic, complemented
15#25769C211yesmaximal, characteristic, complemented
16#25768C211yesmaximal, characteristic, complemented
17#25419C211yesmaximal, characteristic, complemented
18#25418C211yesmaximal, characteristic, complemented
19#25382C211yesmaximal, characteristic, complemented
20#25380C211yesmaximal, characteristic, complemented
21#24277C211yesmaximal, characteristic, complemented
22#24276C211yesmaximal, characteristic, complemented
23#24220C211yesmaximal, characteristic, complemented
24#24219C211yesmaximal, characteristic, complemented
25#23857C211yesmaximal, characteristic, complemented
26#23855C211yesmaximal, characteristic, complemented
27#23853C211yesmaximal, characteristic, complemented
28#23849C211yesmaximal, characteristic, complemented
29#23186C211yesmaximal, characteristic, complemented
30#21535C211yesmaximal, characteristic, complemented
31#21494C211yesmaximal, characteristic, complemented
32C22×#137C2211yescharacteristic, complemented
33C22×#137C2211yescharacteristic, complemented
34C22×AGL(1,ℤ/8)C2211yescharacteristic
35C22×AGL(1,ℤ/8)C2211yescharacteristic
36C22×#135C2211yescharacteristic, complemented
37C23×SD16C2211yescharacteristic
38C2×#550C2211yescharacteristic
39C2×D4×Q8C2211yescharacteristic, complemented
40C2×#548C2211yescharacteristic, complemented
41C2×#547C2211yescharacteristic
42C2×#546C2211yescharacteristic
43C2×D42C2211yescharacteristic
44C2×#536C2211yescharacteristic, complemented
45C2×#535C2211yescharacteristic
46#3278—28no—
47#3275—28no—
48#3272—28no—
49#3154—28no—
50C2×#497C2211yescharacteristic
51C2×#497C2211yescharacteristic, complemented
52C2×#496C2211yescharacteristic
53C2×#496C2211yescharacteristic, complemented
54C2×#495C2211yescharacteristic
55C2×#495C2211yescharacteristic, complemented
56C2×#492C2211yescharacteristic
57C2×#492C2211yescharacteristic
58C2×#492C2211yescharacteristic, complemented
59C2×#492C2211yescharacteristic, complemented
60C2×#470C2211yescharacteristic, complemented
61C2×#469C2211yescharacteristic
62C2×#468C2211yescharacteristic
63C2×#468C2211yescharacteristic
64C2×#468C2211yescharacteristic, complemented
65C2×#468C2211yescharacteristic, complemented
66C2×#468C2211yescharacteristic, complemented
67C2×#464C2211yescharacteristic
68C2×#462C2211yescharacteristic, complemented
69C2×#460C2211yescharacteristic, complemented
70C2×#460C2211yescharacteristic, complemented
71C2×#463C2211yescharacteristic, complemented
72C2×#461C2211yescharacteristic
73C2×#461C2211yescharacteristic, complemented
74C2×#459C2211yescharacteristic
75C2×#452C2211yescharacteristic, complemented
76C2×#452C2211yescharacteristic, complemented
77C2×#452C2211yescharacteristic, complemented
78C2×#452C2211yescharacteristic, complemented
79C2×#449C2211yescharacteristic
80C2×#449C2211yescharacteristic
81C2×#449C2211yescharacteristic, complemented
82C2×#449C2211yescharacteristic, complemented
83C2×#448C2211yescharacteristic
84C2×#448C2211yescharacteristic
85C2×#448C2211yescharacteristic, complemented
86C2×#448C2211yescharacteristic, complemented
87C2×#450C2211yescharacteristic
88C2×#450C2211yescharacteristic
89C2×#450C2211yescharacteristic
90C2×#450C2211yescharacteristic
91C2×C4×Q16C2211yescharacteristic, complemented
92C2×C4×SD16C2211yescharacteristic, complemented
93C2×C4×D8C2211yescharacteristic
94C2×#436C2211yescharacteristic
95C2×#436C2211yescharacteristic, complemented
96C2×#436C2211yescharacteristic, complemented
97C2×#405C2211yescharacteristic, complemented
98#2681—21no—
99#2680—21no—
100#2678—21no—
101#2675—21no—
102#2674—21no—
103#2672—21no—
104#2669—21no—
105#2669—21no—
106#2546C2211yescharacteristic, complemented
107#2542C2211yescharacteristic, complemented
108#2541C2211yescharacteristic
109#2541C2211yescharacteristic
110#2464—21no—
111#2464—21no—
112#2455—21no—
113#2449—21no—
114#2440—21no—
115#2434C2211yescharacteristic, complemented
116#2433—21no—
117#2433C2211yescharacteristic
118#2432C2211yescharacteristic, complemented
119#2431C2211yescharacteristic
120#2429C2211yescharacteristic, complemented
121#2428C2211yescharacteristic
122#2427C2211yescharacteristic, complemented
123#2426C2211yescharacteristic
124#2424—21no—
125#2410—21no—
126#2409C2211yescharacteristic
127#2408C2211yescharacteristic
128#2407C2211yescharacteristic
129#2407C2211yescharacteristic, complemented
130#2392C2211yescharacteristic
131#2367C2211yescharacteristic
132#2367C2211yescharacteristic, complemented
133#2324C2211yescharacteristic
134#2323C2211yescharacteristic, complemented
135#2056C2211yescharacteristic, complemented
136#2055C2211yescharacteristic
137#2055C2211yescharacteristic, complemented
138#2054C2211yescharacteristic, complemented
139#2043C2211yescharacteristic, complemented
140#2042C2211yescharacteristic, complemented
141#2042C2211yescharacteristic, complemented
142#2041C2211yescharacteristic
143#2016C2211yescharacteristic, complemented
144#2015C2211yescharacteristic, complemented
145#2014C2211yescharacteristic
146#2014C2211yescharacteristic
147#2014C2211yescharacteristic
148#2014C2211yescharacteristic, complemented
149#2013C2211yescharacteristic
150#2013C2211yescharacteristic, complemented
151#2013C2211yescharacteristic, complemented
152#2013C2211yescharacteristic, complemented
153#2012C2211yescharacteristic, complemented
154#2011C2211yescharacteristic, complemented
155#2001C2211yescharacteristic, complemented
156#2001C2211yescharacteristic, complemented
157#2000C2211yescharacteristic
158#2000C2211yescharacteristic
159#2000C2211yescharacteristic
160#2000C2211yescharacteristic
161#2000C2211yescharacteristic, complemented
162#2000C2211yescharacteristic, complemented
163#2000C2211yescharacteristic, complemented
164#2000C2211yescharacteristic, complemented
165#1999C2211yescharacteristic, complemented
166#1999C2211yescharacteristic, complemented
167#1983C2211yescharacteristic
168#1983C2211yescharacteristic, complemented
169#1982C2211yescharacteristic, complemented
170#1981C2211yescharacteristic, complemented
171#1973C2211yescharacteristic, complemented
172#1970C2211yescharacteristic
173#1969C2211yescharacteristic, complemented
174#1968C2211yescharacteristic, complemented
175#1968C2211yescharacteristic, complemented
176#1955C2211yescharacteristic, complemented
177#1943C2211yescharacteristic, complemented
178#1940C2211yescharacteristic, complemented
179#1934C2211yescharacteristic, complemented
180#1933C2211yescharacteristic, complemented
181#1923C2211yescharacteristic, complemented
182#1923C2211yescharacteristic, complemented
183#1893C2211yescharacteristic
184#1892C2211yescharacteristic, complemented
185#1880C2211yescharacteristic
186#1880C2211yescharacteristic, complemented
187#1880C2211yescharacteristic, complemented
188#1879C2211yescharacteristic, complemented
189#1878C2211yescharacteristic, complemented
190#1877C2211yescharacteristic
191#1877C2211yescharacteristic
192#1877C2211yescharacteristic, complemented
193#1869C2211yescharacteristic
194#1869C2211yescharacteristic, complemented
195#1809C2211yescharacteristic, complemented
196#1798C2211yescharacteristic, complemented
197#1788C2211yescharacteristic, complemented
198#1788C2211yescharacteristic, complemented
199#1787C2211yescharacteristic, complemented
200#1786C2211yescharacteristic
201C4×#107C2211yescharacteristic, complemented
202C8×C4⋊C4C2211yescharacteristic, complemented
203#1763C2211yescharacteristic, complemented
204#1762C2211yescharacteristic, complemented
205#1753C2211yescharacteristic, complemented
206#1753C2211yescharacteristic, complemented
207C22×#41C2311yescharacteristic
208C22×#41C2311yescharacteristic
209C22×#41C2311yescharacteristic
210C22×#41C2311yescharacteristic
211C23×Q8C2311yescharacteristic
212C23×Q8C2311yescharacteristic
213C23×D4—21no—
214C23×D4C2311yescharacteristic
215C23×D4C2311yescharacteristic
216C2×#137—24no—
217C2×#137—24no—
218C2×#137—24no—
219C2×#137—24no—
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)—42no—
227C2×AGL(1,ℤ/8)—42no—
228C2×#135—24no—
229C2×#135—42no—
230C2×#135—42no—
231C22×Q16C2311yescharacteristic
232C22×Q16C2311yescharacteristic
233C22×Q16C2311yescharacteristic
234C22×Q16C2311yescharacteristic
235C22×SD16—24no—
236C22×SD16—42no—
237C22×SD16—42no—
238C22×SD16C2311yescharacteristic
239C22×SD16C2311yescharacteristic
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×SD16C2311yescharacteristic
254C22×SD16C2311yescharacteristic
255C22×D8C2311yescharacteristic
256C22×D8C2311yescharacteristic
257C22×D8C2311yescharacteristic
258C22×D8C2311yescharacteristic
259C22×M16C2311yescharacteristic
260C22×M16C2311yescharacteristic
261C22×M16C2311yescharacteristic
262C23×C8C2311yescharacteristic
263#550—24no—
264#550—42no—
265D4×Q8—24no—
266D4×Q8—42no—
267#548—24no—
268#548—42no—
269#547—24no—
270#547—42no—
271#546—24no—
272#546—42no—
273D42—24no—
274D42—42no—
275#536—24no—
276#536—42no—
277#535—24no—
278#535—42no—
279C2×C4⋊Q8—21no—
280C2×C4⋊Q8C2311yescharacteristic
281C2×C4⋊Q8C2311yescharacteristic
282C2×C4⋊Q8C2311yescharacteristic
283C2×C4⋊Q8C2311yescharacteristic
284C2×#127—21no—
285C2×#127—21no—
286C2×#127C2311yescharacteristic
287C2×#127C2311yescharacteristic
288C2×#127C2311yescharacteristic
289C2×#127C2311yescharacteristic
290C2×#124—21no—
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⋊Q8—21no—
302C2×C22⋊Q8—21no—
303C2×C22⋊Q8—21no—
304C2×C22⋊Q8—21no—
305C2×C22⋊Q8C2311yescharacteristic
306C2×C22⋊Q8C2311yescharacteristic
307C2×C22⋊Q8C2311yescharacteristic
308C2×C22⋊Q8C2311yescharacteristic
309C2×C22⋊Q8C2311yescharacteristic
310C2×C22⋊Q8C2311yescharacteristic
311C2×C22⋊Q8C2311yescharacteristic
312C2×#121—21no—
313C2×#121—21no—
314C2×#121—21no—
315C2×#121—21no—
316C2×#121—21no—
317C2×#121—21no—
318C2×#121—21no—
319C2×#121—21no—
320C2×#121—21no—
321C2×#121—21no—
322C2×#121—21no—
323C2×#121C2311yescharacteristic
324C2×#121C2311yescharacteristic
325C2×#121C2311yescharacteristic
326C2×#121C2311yescharacteristic
327C2×#121C2311yescharacteristic
328C2×#121C2311yescharacteristic
329C2×#121C2311yescharacteristic
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×C4×Q8C2311yescharacteristic
339C2×C4×Q8C2311yescharacteristic
340C2×C4×Q8C2311yescharacteristic
341C2×C4×D4—21no—
342C2×C4×D4—21no—
343C2×C4×D4—21no—
344C2×C4×D4C2311yescharacteristic
345C2×C4×D4C2311yescharacteristic
346C2×C4×D4C2311yescharacteristic
347C2×C4×D4C2311yescharacteristic
348C2×C4×D4C2311yescharacteristic
349C2×C4×D4C2311yescharacteristic
350C2×#117C2311yescharacteristic
351C22×C4⋊C4—21no—
352C22×C22⋊C4—21no—
353#497—24no—
354#497—24no—
355#496—24no—
356#496—24no—
357#495—24no—
358#495D418yescomplemented
359#492—24no—
360#492—24no—
361#492—24no—
362#492—24no—
363#470—24no—
364#469—24no—
365#468—24no—
366#468—24no—
367#468—42no—
368#468—42no—
369#468D418yescomplemented
370#464—24no—
371#463—24no—
372#462—24no—
373#461—24no—
374#461—42no—
375#460—24no—
376#460—42no—
377#459—24no—
378#452—24no—
379#452—24no—
380#452—24no—
381#452—42no—
382#450—24no—
383#450—24no—
384#450—24no—
385#450—42no—
386#449—24no—
387#449—24no—
388#449—24no—
389#449—42no—
390#448—24no—
391#448—24no—
392#448—24no—
393#448—42no—
394C4×Q16—24no—
395C4×SD16—24no—
396C4×D8—24no—
397#436—24no—
398#436—24no—
399#436—24no—
400C2×#107C2311yescharacteristic
401C2×#107C2311yescharacteristic
402C2×#106C2311yescharacteristic
403C2×C4⋊C8C2311yescharacteristic
404C2×C4⋊C8C2311yescharacteristic
405C2×C4⋊C8C2311yescharacteristic
406C2×C4⋊C8C2311yescharacteristic
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×#103C2311yescharacteristic
420C2×#103C2311yescharacteristic
421C2×#103C2311yescharacteristic
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×#102C2311yescharacteristic
435C2×#102C2311yescharacteristic
436C2×#102C2311yescharacteristic
437C2×C22⋊C8C2311yescharacteristic
438C2×C22⋊C8C2311yescharacteristic
439C2×C22⋊C8C2311yescharacteristic
440C2×C22⋊C8C2311yescharacteristic
441C2×C22⋊C8C2311yescharacteristic
442C2×C22⋊C8C2311yescharacteristic
443C2×C22⋊C8C2311yescharacteristic
444C2×C22⋊C8C2311yescharacteristic
445#405—24no—
446C2×#97C2311yescharacteristic
447C2×#97C2311yescharacteristic
448C2×C4×C8C2311yescharacteristic
449C2×C4×C8C2311yescharacteristic
450C2×C4×C8C2311yescharacteristic
451C2×C4×C8C2311yescharacteristic
452#399—21no—
453#399—21no—
454#398—21no—
455#398—21no—
456#398—21no—
457#398D411yescharacteristic
458#397—21no—
459#397D411yescharacteristic
460#396—21no—
461#396—21no—
462#396D411yescharacteristic
463#396D411yescharacteristic
464#395—21no—
465#395—21no—
466#395—21no—
467#394—21no—
468#394—21no—
469#394—21no—
470#394—21no—
471#394—21no—
472#394—21no—
473#394—21no—
474#394—21no—
475#394D411yescharacteristic
476#394D411yescharacteristic
477#394D411yescharacteristic
478#393—21no—
479#392—21no—
480#392—21no—
481#392—21no—
482#392—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#392D411yescharacteristic
492#391C2311yescharacteristic
493#391C2311yescharacteristic
494#391C2311yescharacteristic
495#391C2311yescharacteristic
496#391C2311yescharacteristic
497#390—21no—
498#390—21no—
499#390—21no—
500#390—21no—
501#390C2311yescharacteristic
502#390C2311yescharacteristic
503#390C2311yescharacteristic
504#390C2311yescharacteristic
505#390C2311yescharacteristic
506#389—21no—
507#389—21no—
508#389—21no—
509#389—21no—
510#389C2311yescharacteristic
511#389C2311yescharacteristic
512#388—21no—
513#388—21no—
514#388—21no—
515#388—21no—
516#388—21no—
517#388—21no—
518#388—21no—
519#388—21no—
520#388—21no—
521#387—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#385—21no—
535#385—21no—
536#385—21no—
537#385—21no—
538#385—21no—
539#385—21no—
540#384—21no—
541#380—21no—
542#380C2311yescharacteristic
543#380C2311yescharacteristic
544#379—21no—
545C4×C4⋊C4C2311yescharacteristic
546C4×C4⋊C4C2311yescharacteristic
547C4×C4⋊C4C2311yescharacteristic
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—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—
587C2×#41—41no—
588C2×#41—41no—
589C2×#41—41no—
590C22×Q8—21no—
591C22×Q8—21no—
592C22×Q8—22no—
593C22×Q8—22no—
594C22×Q8—22no—
595C22×Q8—22no—
596C22×Q8—22no—
597C22×Q8—41no—
598C22×Q8—41no—
599C22×Q8—41no—
600C22×Q8—41no—
601C22×Q8—41no—
602C22×Q8—41no—
603C22×Q8—41no—
604C22×Q8C2411yescharacteristic
605C22×Q8C2411yescharacteristic
606C22×Q8C2411yescharacteristic
607C22×Q8C2411yescharacteristic
608C22×Q8C2411yescharacteristic
609C22×D4—21no—
610C22×D4—22no—
611C22×D4—22no—
612C22×D4—22no—
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—22no—
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—21no—
634C22×D4—22no—
635C22×D4—41no—
636C22×D4—41no—
637C22×D4—41no—
638C22×D4—41no—
639C22×D4—41no—
640C22×D4—41no—
641C22×D4—41no—
642C22×D4—44no—
643C22×D4—82no—
644C22×D4—82no—
645C22×D4C2×D411yescharacteristic
646C22×D4C2×D411yescharacteristic
647C22×D4C2×D411yescharacteristic
648C22×D4C2411yescharacteristic
649C22×D4C2411yescharacteristic
650C22×D4C2411yescharacteristic
651C22×D4C2411yescharacteristic
652C22×D4C2411yescharacteristic
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×C4C2411yescharacteristic
663C23×C4C2411yescharacteristic
664C23×C4C2411yescharacteristic
665#137—416no—
666#137—416no—
667AGL(1,ℤ/8)—416no—
668AGL(1,ℤ/8)—416no—
669#135—416no—
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—41no—
679C2×Q16—41no—
680C2×Q16—41no—
681C2×Q16C2×D414yescomplemented
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—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—416no—
723C2×SD16—41no—
724C2×SD16—41no—
725C2×SD16—41no—
726C2×SD16—41no—
727C2×SD16—41no—
728C2×SD16—41no—
729C2×SD16—41no—
730C2×SD16—41no—
731C2×SD16C2×D414yes—
732C2×SD16C2×D414yes—
733C2×SD16C2×D414yescomplemented
734C2×D8—22no—
735C2×D8—22no—
736C2×D8—22no—
737C2×D8—22no—
738C2×D8—22no—
739C2×D8—22no—
740C2×D8—22no—
741C2×D8—22no—
742C2×D8—41no—
743C2×D8—41no—
744C2×D8—41no—
745C2×D8C2×D414yes—
746C2×M16—22no—
747C2×M16—22no—
748C2×M16—22no—
749C2×M16—22no—
750C2×M16—22no—
751C2×M16—22no—
752C2×M16—22no—
753C2×M16—22no—
754C2×M16C2×D414yes—
755C22×C8—22no—
756C22×C8—22no—
757C22×C8—22no—
758C22×C8C2411yescharacteristic
759C22×C8C2411yescharacteristic
760C22×C8C2411yescharacteristic
761C22×C8C2411yescharacteristic
762C22×C8C2411yescharacteristic
763C22×C8C2411yescharacteristic
764C22×C8C2411yescharacteristic
765C22×C8C2411yescharacteristic
766C4⋊Q8—22no—
767C4⋊Q8—22no—
768C4⋊Q8—22no—
769C4⋊Q8—22no—
770C4⋊Q8—22no—
771C4⋊Q8—41no—
772C4⋊Q8—41no—
773C4⋊Q8—41no—
774C4⋊Q8—44no—
775#127—22no—
776#127—22no—
777#127—22no—
778#127—22no—
779#127—22no—
780#127—41no—
781#127—41no—
782#127—41no—
783#127—44no—
784#127—82no—
785#124—22no—
786#124—22no—
787#124—22no—
788#124—22no—
789#124—41no—
790#124—41no—
791#124—44no—
792#124C2×D414yes—
793#124C2×D414yescomplemented
794#123—44no—
795#123—44no—
796#123—44no—
797#123—44no—
798#123—44no—
799C22⋊Q8—22no—
800C22⋊Q8—22no—
801C22⋊Q8—22no—
802C22⋊Q8—22no—
803C22⋊Q8—22no—
804C22⋊Q8—44no—
805C22⋊Q8—44no—
806C22⋊Q8—44no—
807C22⋊Q8—44no—
808C22⋊Q8—44no—
809C22⋊Q8—41no—
810C22⋊Q8—41no—
811C22⋊Q8—41no—
812C22⋊Q8—41no—
813C22⋊Q8—41no—
814C22⋊Q8—41no—
815C22⋊Q8—41no—
816C22⋊Q8—41no—
817C22⋊Q8C2×D414yes—
818#121—22no—
819#121—22no—
820#121—22no—
821#121—22no—
822#121—22no—
823#121—44no—
824#121—44no—
825#121—44no—
826#121—44no—
827#121—44no—
828#121—44no—
829#121—44no—
830#121—44no—
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—82no—
840#121—82no—
841#121—82no—
842#121C2×D414yes—
843#120—44no—
844#120—44no—
845#120—44no—
846#120—44no—
847#120—44no—
848#120—82no—
849#120—82no—
850#120—82no—
851C4×Q8—22no—
852C4×Q8—22no—
853C4×Q8—22no—
854C4×Q8—22no—
855C4×Q8—41no—
856C4×Q8—41no—
857C4×D4—22no—
858C4×D4—22no—
859C4×D4—22no—
860C4×D4—22no—
861C4×D4—22no—
862C4×D4—22no—
863C4×D4—22no—
864C4×D4—22no—
865C4×D4—22no—
866C4×D4—22no—
867C4×D4—41no—
868C4×D4—41no—
869C4×D4—44no—
870C4×D4—44no—
871C4×D4—44no—
872#117—22no—
873#117—22no—
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—21no—
889C2×C4⋊C4—21no—
890C2×C4⋊C4—21no—
891C2×C4⋊C4—21no—
892C2×C4⋊C4—21no—
893C2×C4⋊C4—21no—
894C2×C4⋊C4—44no—
895C2×C4⋊C4C2×D411yescharacteristic
896C2×C4⋊C4C2×D411yescharacteristic
897C2×C4⋊C4C2×D411yescharacteristic
898C2×C4⋊C4C2×D411yescharacteristic
899C2×C4⋊C4C2×D411yescharacteristic
900C2×C4⋊C4C2×D411yescharacteristic
901C2×C4⋊C4C2×D411yescharacteristic
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2411yescharacteristic
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—44no—
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×C22⋊C4C2×D411yescharacteristic
953C2×C22⋊C4C2×D411yescharacteristic
954C2×C22⋊C4C2×D411yescharacteristic
955C2×C22⋊C4C2×D411yescharacteristic
956C2×C22⋊C4C2×D411yescharacteristic
957C2×C22⋊C4C2×D411yescharacteristic
958C2×C42—21no—
959C2×C42—21no—
960C2×C42—21no—
961C2×C42—21no—
962C2×C42—21no—
963C2×C42C2411yescharacteristic
964C2×C42C2411yescharacteristic
965C2×C42C2411yescharacteristic
966C2×C42C2411yescharacteristic
967#107—22no—
968#107C2×D414yes—
969#106—22no—
970C4⋊C8—22no—
971C4⋊C8—22no—
972C4⋊C8—22no—
973C4⋊C8—22no—
974#103—22no—
975#103—22no—
976#103—22no—
977#103—22no—
978#103—22no—
979#103—22no—
980#103—22no—
981#103—22no—
982#103—41no—
983#103—41no—
984#103—41no—
985#103—41no—
986#103—41no—
987#103—41no—
988#103C2×D414yes—
989#102—22no—
990#102—22no—
991#102—22no—
992#102—22no—
993#102—22no—
994#102—22no—
995#102—22no—
996#102—22no—
997#102—41no—
998#102—41no—
999#102—41no—
1000#102—41no—
1001#102—41no—
1002#102—41no—
1003#102C2×D414yes—
1004C22⋊C8—22no—
1005C22⋊C8—22no—
1006C22⋊C8—22no—
1007C22⋊C8—22no—
1008C22⋊C8—22no—
1009C22⋊C8—22no—
1010C22⋊C8—22no—
1011C22⋊C8—22no—
1012#97—22no—
1013#97—22no—
1014C4×C8—22no—
1015C4×C8—22no—
1016C4×C8—22no—
1017C4×C8C2×D414yescomplemented
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#95—21no—
1032#95—21no—
1033#95—21no—
1034#95C2×D411yescharacteristic
1035#95C2×D411yescharacteristic
1036#95C2×D411yescharacteristic
1037#95C2×D411yescharacteristic
1038#95C2×D411yescharacteristic
1039#95C2×D411yescharacteristic
1040C24—21no—
1041C24—21no—
1042C24—21no—
1043C24—21no—
1044C24—21no—
1045C24—42no—
1046C24—42no—
1047C24—42no—
1048C24—42no—
1049C24—42no—
1050C24—81no—
1051C24—81no—
1052C24—81no—
1053C24—81no—
1054C24—81no—
1055C24—81no—
1056C24—81no—
1057C24—81no—
1058C24—81no—
1059C24C22×D411yescharacteristic
1060C24C22×D411yescharacteristic
1061C24C22×D411yescharacteristic
1062#41—44no—
1063#41—44no—
1064#41—44no—
1065#41—44no—
1066#41—44no—
1067#41—44no—
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—
1078C2×Q8—21no—
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—42no—
1106C2×Q8—42no—
1107C2×Q8—42no—
1108C2×Q8—44no—
1109C2×Q8—44no—
1110C2×Q8—42no—
1111C2×Q8—44no—
1112C2×Q8—81no—
1113C2×Q8—81no—
1114C2×Q8—82no—
1115C2×Q8—82no—
1116C2×Q8—82no—
1117C2×Q8—82no—
1118C2×Q8—82no—
1119C2×Q8C22×D412yes—
1120C2×Q8C22×D412yes—
1121C2×Q8C22×D412yes—
1122C2×D4—22no—
1123C2×D4—22no—
1124C2×D4—24no—
1125C2×D4—22no—
1126C2×D4—22no—
1127C2×D4—22no—
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—21no—
1150C2×D4—21no—
1151C2×D4—21no—
1152C2×D4—21no—
1153C2×D4—21no—
1154C2×D4—21no—
1155C2×D4—44no—
1156C2×D4—44no—
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—42no—
1174C2×D4—42no—
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—82no—
1192C2×D4—82no—
1193C2×D4—81no—
1194C2×D4—81no—
1195C2×D4—81no—
1196C2×D4—81no—
1197C2×D4—81no—
1198C2×D4—81no—
1199C2×D4—81no—
1200C2×D4—81no—
1201C2×D4—81no—
1202C2×D4—81no—
1203C2×D4—81no—
1204C2×D4—81no—
1205C2×D4—81no—
1206C2×D4—81no—
1207C2×D4—81no—
1208C2×D4—81no—
1209C2×D4—82no—
1210C2×D4—82no—
1211C2×D4—82no—
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—81no—
1229C2×D4—816no—
1230C2×D4C22×D412yes—
1231C2×D4C22×D412yes—
1232C2×D4C22×D412yes—
1233C22×C4—21no—
1234C22×C4—21no—
1235C22×C4—21no—
1236C22×C4—21no—
1237C22×C4—21no—
1238C22×C4—21no—
1239C22×C4—21no—
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—42no—
1261C22×C4—42no—
1262C22×C4—42no—
1263C22×C4—42no—
1264C22×C4—42no—
1265C22×C4—42no—
1266C22×C4—42no—
1267C22×C4—42no—
1268C22×C4—42no—
1269C22×C4—42no—
1270C22×C4—42no—
1271C22×C4—42no—
1272C22×C4—42no—
1273C22×C4—42no—
1274C22×C4—42no—
1275C22×C4—42no—
1276C22×C4—42no—
1277C22×C4—81no—
1278C22×C4—81no—
1279C22×C4—81no—
1280C22×C4—81no—
1281C22×C4—81no—
1282C22×C4—81no—
1283C22×C4—81no—
1284C22×C4—81no—
1285C22×C4—81no—
1286C22×C4—81no—
1287C22×C4C22×D411yescharacteristic
1288C22×C4C22×D411yescharacteristic
1289C22×C4C22×D411yescharacteristic
1290C22×C4C22×D411yescharacteristic
1291C22×C4C22×D411yescharacteristic
1292C22×C4C22×D411yescharacteristic
1293C22×C4C22×D411yescharacteristic
1294C22×C4C22×D411yescharacteristic
1295C22×C4C22×D411yescharacteristic
1296C22×C4C22×D412yes—
1297C22×C4C22×D411yescharacteristic
1298C22×C4C22×D411yescharacteristic
1299C22×C4H(5,𝔽2)12yes—
1300C22×C4C2511yescharacteristic
1301Q16—28no—
1302Q16—44no—
1303Q16—44no—
1304Q16—44no—
1305SD16—28no—
1306SD16—44no—
1307SD16—44no—
1308SD16—44no—
1309SD16—44no—
1310SD16—44no—
1311SD16—44no—
1312SD16—44no—
1313SD16—44no—
1314SD16—44no—
1315SD16—44no—
1316SD16—44no—
1317SD16—44no—
1318SD16—82no—
1319SD16—82no—
1320SD16—82no—
1321SD16—82no—
1322D8—28no—
1323D8—44no—
1324D8—44no—
1325D8—44no—
1326M16—28no—
1327M16—44no—
1328M16—44no—
1329C2×C8—28no—
1330C2×C8—21no—
1331C2×C8—21no—
1332C2×C8—21no—
1333C2×C8—21no—
1334C2×C8—21no—
1335C2×C8—21no—
1336C2×C8—21no—
1337C2×C8—21no—
1338C2×C8—21no—
1339C2×C8—21no—
1340C2×C8—21no—
1341C2×C8—21no—
1342C2×C8—21no—
1343C2×C8—21no—
1344C2×C8—21no—
1345C2×C8—21no—
1346C2×C8—21no—
1347C2×C8—21no—
1348C2×C8C22×D412yes—
1349C2×C8C22×D412yes—
1350C2×C8C22×D412yes—
1351C2×C8C22×D412yes—
1352C2×C8H(5,𝔽2)12yes—
1353C2×C8H(5,𝔽2)12yes—
1354C4⋊C4—24no—
1355C4⋊C4—22no—
1356C4⋊C4—22no—
1357C4⋊C4—22no—
1358C4⋊C4—22no—
1359C4⋊C4—22no—
1360C4⋊C4—22no—
1361C4⋊C4—22no—
1362C4⋊C4—21no—
1363C4⋊C4—21no—
1364C4⋊C4—21no—
1365C4⋊C4—21no—
1366C4⋊C4—21no—
1367C4⋊C4—21no—
1368C4⋊C4—21no—
1369C4⋊C4—21no—
1370C4⋊C4—21no—
1371C4⋊C4—21no—
1372C4⋊C4—42no—
1373C4⋊C4—42no—
1374C4⋊C4—42no—
1375C4⋊C4—42no—
1376C4⋊C4—42no—
1377C4⋊C4—42no—
1378C4⋊C4—42no—
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—81no—
1388C4⋊C4—81no—
1389C4⋊C4—81no—
1390C4⋊C4—81no—
1391C4⋊C4C22×D412yes—
1392C4⋊C4C22×D412yes—
1393C22⋊C4—24no—
1394C22⋊C4—22no—
1395C22⋊C4—22no—
1396C22⋊C4—24no—
1397C22⋊C4—24no—
1398C22⋊C4—24no—
1399C22⋊C4—24no—
1400C22⋊C4—24no—
1401C22⋊C4—22no—
1402C22⋊C4—22no—
1403C22⋊C4—22no—
1404C22⋊C4—22no—
1405C22⋊C4—22no—
1406C22⋊C4—22no—
1407C22⋊C4—22no—
1408C22⋊C4—22no—
1409C22⋊C4—41no—
1410C22⋊C4—41no—
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—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—81no—
1431C22⋊C4—81no—
1432C22⋊C4—81no—
1433C22⋊C4—81no—
1434C22⋊C4—81no—
1435C22⋊C4—81no—
1436C22⋊C4—81no—
1437C22⋊C4—81no—
1438C22⋊C4—81no—
1439C22⋊C4—81no—
1440C22⋊C4—81no—
1441C22⋊C4—81no—
1442C42—21no—
1443C42—21no—
1444C42—21no—
1445C42—21no—
1446C42—21no—
1447C42—21no—
1448C42—42no—
1449C42—42no—
1450C42—42no—
1451C42—81no—
1452C42—81no—
1453C42C22×D412yes—
1454C42H(5,𝔽2)12yes—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—22no—
1466C23—22no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—22no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
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—41no—
1504C23—41no—
1505C23—41no—
1506C23—41no—
1507C23—41no—
1508C23—41no—
1509C23—41no—
1510C23—84no—
1511C23—84no—
1512C23—84no—
1513C23—84no—
1514C23—84no—
1515C23—162no—
1516C23—162no—
1517C23—162no—
1518C23—162no—
1519C23—162no—
1520C23—162no—
1521C23—162no—
1522C23—162no—
1523C23—162no—
1524C23D4212yes—
1525C23C23×D411yescharacteristic
1526Q8—22no—
1527Q8—22no—
1528Q8—22no—
1529Q8—22no—
1530Q8—22no—
1531Q8—22no—
1532Q8—41no—
1533Q8—41no—
1534Q8—41no—
1535Q8—41no—
1536Q8—41no—
1537Q8—41no—
1538Q8—41no—
1539Q8—41no—
1540Q8—41no—
1541Q8—41no—
1542Q8—41no—
1543Q8—41no—
1544Q8—41no—
1545Q8—41no—
1546Q8—84no—
1547Q8—84no—
1548D4—22no—
1549D4—22no—
1550D4—22no—
1551D4—22no—
1552D4—22no—
1553D4—22no—
1554D4—44no—
1555D4—44no—
1556D4—41no—
1557D4—41no—
1558D4—41no—
1559D4—41no—
1560D4—41no—
1561D4—41no—
1562D4—41no—
1563D4—41no—
1564D4—41no—
1565D4—41no—
1566D4—41no—
1567D4—41no—
1568D4—41no—
1569D4—41no—
1570D4—82no—
1571D4—84no—
1572D4—84no—
1573D4—84no—
1574D4—84no—
1575D4—84no—
1576D4—84no—
1577D4—84no—
1578D4—84no—
1579D4—84no—
1580D4—84no—
1581D4—84no—
1582D4—162no—
1583D4—162no—
1584D4—162no—
1585D4—162no—
1586D4—162no—
1587D4—162no—
1588D4—162no—
1589D4—162no—
1590D4—162no—
1591D4—162no—
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—22no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—22no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
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—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—84no—
1666C2×C4—84no—
1667C2×C4—84no—
1668C2×C4—84no—
1669C2×C4—84no—
1670C2×C4—84no—
1671C2×C4—84no—
1672C2×C4—84no—
1673C2×C4—162no—
1674C2×C4D4212yes—
1675C2×C4D4212yes—
1676C2×C4D4212yes—
1677C2×C4#57712yes—
1678C2×C4#57712yes—
1679C2×C4C23×D411yescharacteristic
1680C2×C4C23×D411yescharacteristic
1681C2×C4C2×H(5,𝔽2)11yescharacteristic
1682C2×C4C2×H(5,𝔽2)11yescharacteristic
1683C2×C4C2×H(5,𝔽2)11yescharacteristic
1684C2×C4C2×H(5,𝔽2)11yescharacteristic
1685C8—22no—
1686C8—22no—
1687C8—22no—
1688C8—41no—
1689C8—41no—
1690C8—41no—
1691C8—41no—
1692C8D4214yes—
1693C22—22no—
1694C22—22no—
1695C22—22no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—42no—
1707C22—42no—
1708C22—41no—
1709C22—42no—
1710C22—41no—
1711C22—41no—
1712C22—42no—
1713C22—41no—
1714C22—41no—
1715C22—42no—
1716C22—41no—
1717C22—42no—
1718C22—41no—
1719C22—41no—
1720C22—42no—
1721C22—42no—
1722C22—42no—
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—81no—
1741C22—81no—
1742C22—81no—
1743C22—81no—
1744C22—81no—
1745C22—81no—
1746C22—81no—
1747C22—81no—
1748C22—81no—
1749C22—168no—
1750C22—168no—
1751C22C2×D4211yescharacteristic
1752C22C2×D4211yescharacteristic
1753C22#349811yescharacteristic
1754C22C2×#57711yescharacteristic
1755C22C2×#57711yescharacteristic
1756C22#358511yescharacteristic
1757C22#358611yescharacteristic
1758C4—22no—
1759C4—22no—
1760C4—22no—
1761C4—22no—
1762C4—22no—
1763C4—41no—
1764C4—41no—
1765C4—42no—
1766C4—42no—
1767C4—41no—
1768C4—41no—
1769C4—41no—
1770C4—41no—
1771C4—42no—
1772C4—42no—
1773C4—42no—
1774C4—81no—
1775C4—81no—
1776C4—81no—
1777C4—81no—
1778C4—81no—
1779C4—81no—
1780C4C2×D4211yescharacteristic
1781C4#348411yescharacteristic
1782C4#349811yescharacteristic
1783C4#354311yescharacteristic
1784C2—42no—
1785C2—81no—
1786C2—81no—
1787C2—82no—
1788C2—82no—
1789C2—82no—
1790C2—161no—
1791C2—161no—
1792C2#5912611yescharacteristic
1793C2#6106211yescharacteristic
1794C2#6107111yescharacteristic
1795C2#6107511yescharacteristic
1796C2#6108711yescharacteristic
1797C2#6246511yescharacteristic
1798C2#6246611yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2392 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3278C2semidirect
2. C2×#3275C2semidirect
3. C2×#3272C2semidirect
4. C2×#3154C2semidirect
5. #45332C2semidirect
6. #44927C2semidirect
7. #30456C2semidirect
8. #30453C2semidirect
9. #30451C2semidirect
10. #30446C2semidirect
11. #28490C2semidirect
12. #28461C2semidirect
13. #25791C2semidirect
14. #25790C2semidirect
15. #25769C2semidirect
16. #25768C2semidirect
17. #25419C2semidirect
18. #25418C2semidirect
19. #25382C2semidirect
20. #25380C2semidirect
21. #24277C2semidirect
22. #24276C2semidirect
23. #24220C2semidirect
24. #24219C2semidirect
25. #23857C2semidirect
26. #23855C2semidirect
27. #23853C2semidirect
28. #23849C2semidirect
29. #23186C2semidirect
30. #21535C2semidirect
31. #21494C2semidirect
32. C22×#137C22semidirect
33. C22×#137C22semidirect
36. C22×#135C22semidirect
39. C2×D4×Q8C22semidirect
40. C2×#548C22semidirect
44. C2×#536C22semidirect
51. C2×#497C22semidirect
53. C2×#496C22semidirect
55. C2×#495C22semidirect
58. C2×#492C22semidirect
59. C2×#492C22semidirect
60. C2×#470C22semidirect
64. C2×#468C22semidirect
65. C2×#468C22semidirect
66. C2×#468C22semidirect
68. C2×#462C22semidirect
69. C2×#460C22semidirect
70. C2×#460C22semidirect
71. C2×#463C22semidirect
73. C2×#461C22semidirect
75. C2×#452C22semidirect
76. C2×#452C22semidirect
77. C2×#452C22semidirect
78. C2×#452C22semidirect
81. C2×#449C22semidirect
82. C2×#449C22semidirect
85. C2×#448C22semidirect
86. C2×#448C22semidirect
91. C2×C4×Q16C22semidirect
92. C2×C4×SD16C22semidirect
95. C2×#436C22semidirect
96. C2×#436C22semidirect
97. C2×#405C22semidirect
106. #2546C22semidirect
107. #2542C22semidirect
115. #2434C22semidirect
118. #2432C22semidirect
120. #2429C22semidirect
122. #2427C22semidirect
129. #2407C22semidirect
132. #2367C22semidirect
134. #2323C22semidirect
135. #2056C22semidirect
137. #2055C22semidirect
138. #2054C22semidirect
139. #2043C22semidirect
140. #2042C22semidirect
141. #2042C22semidirect
143. #2016C22semidirect
144. #2015C22semidirect
148. #2014C22semidirect
150. #2013C22semidirect
151. #2013C22semidirect
152. #2013C22semidirect
153. #2012C22semidirect
154. #2011C22semidirect
155. #2001C22semidirect
156. #2001C22semidirect
161. #2000C22semidirect
162. #2000C22semidirect
163. #2000C22semidirect
164. #2000C22semidirect
165. #1999C22semidirect
166. #1999C22semidirect
168. #1983C22semidirect
169. #1982C22semidirect
170. #1981C22semidirect
171. #1973C22semidirect
173. #1969C22semidirect
174. #1968C22semidirect
175. #1968C22semidirect
176. #1955C22semidirect
177. #1943C22semidirect
178. #1940C22semidirect
179. #1934C22semidirect
180. #1933C22semidirect
181. #1923C22semidirect
182. #1923C22semidirect
184. #1892C22semidirect
186. #1880C22semidirect
187. #1880C22semidirect
188. #1879C22semidirect
189. #1878C22semidirect
192. #1877C22semidirect
194. #1869C22semidirect
195. #1809C22semidirect
196. #1798C22semidirect
197. #1788C22semidirect
198. #1788C22semidirect
199. #1787C22semidirect
201. C4×#107C22semidirect
202. C8×C4⋊C4C22semidirect
203. #1763C22semidirect
204. #1762C22semidirect
205. #1753C22semidirect
206. #1753C22semidirect
358. #495D4semidirect
369. #468D4semidirect
681. C2×Q16C2×D4semidirect
733. C2×SD16C2×D4semidirect
793. #124C2×D4semidirect
1017. C4×C8C2×D4semidirect

Maximal subgroups

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

subgroupindex
C2×#32782
C2×#32752
C2×#32722
C2×#31542
#453322
#449272
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