Finite Group Databasebeta

← #7614049

Subgroups — #7614049

Order 512.

2828 conjugacy classes of subgroups.

The subgroup lattice has 1756 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3271C211yesmaximal, characteristic, complemented
2C2×#3267C211yesmaximal, characteristic, complemented
3C2×#3266C211yesmaximal, characteristic, complemented
4C2×#3265C211yesmaximal, characteristic, complemented
5#59654C211yesmaximal, characteristic, complemented
6#59412C211yesmaximal, characteristic, complemented
7#31061C211yesmaximal, characteristic, complemented
8#31060C211yesmaximal, characteristic, complemented
9#31058C211yesmaximal, characteristic, complemented
10#31057C211yesmaximal, characteristic, complemented
11#28256C211yesmaximal, characteristic, complemented
12#28252C211yesmaximal, characteristic, complemented
13#28238C211yesmaximal, characteristic, complemented
14#28237C211yesmaximal, characteristic, complemented
15#28236C211yesmaximal, characteristic, complemented
16#28235C211yesmaximal, characteristic, complemented
17#24277C211yesmaximal, characteristic, complemented
18#24276C211yesmaximal, characteristic, complemented
19#24266C211yesmaximal, characteristic, complemented
20#24264C211yesmaximal, characteristic, complemented
21#24259C211yesmaximal, characteristic, complemented
22#24258C211yesmaximal, characteristic, complemented
23#24257C211yesmaximal, characteristic, complemented
24#24256C211yesmaximal, characteristic, complemented
25#24254C211yesmaximal, characteristic, complemented
26#24252C211yesmaximal, characteristic, complemented
27#24251C211yesmaximal, characteristic, complemented
28#24249C211yesmaximal, characteristic, complemented
29#21702C211yesmaximal, characteristic, complemented
30#21701C211yesmaximal, characteristic, complemented
31#21682C211yesmaximal, characteristic, complemented
32C22×#137C2211yescharacteristic, complemented
33C22×AGL(1,ℤ/8)C2211yescharacteristic
34C22×#135C2211yescharacteristic, complemented
35C23×SD16C2211yescharacteristic
36C2×#550C2211yescharacteristic
37C2×D4×Q8C2211yescharacteristic, complemented
38C2×#548C2211yescharacteristic
39C2×#548C2211yescharacteristic, complemented
40C2×#547C2211yescharacteristic, complemented
41C2×#546C2211yescharacteristic
42C2×#546C2211yescharacteristic
43C2×D42C2211yescharacteristic
44#3271—28no—
45#3267—28no—
46#3266—28no—
47#3265—28no—
48C2×#497C2211yescharacteristic
49C2×#496C2211yescharacteristic
50C2×#470C2211yescharacteristic, complemented
51C2×#469C2211yescharacteristic, complemented
52C2×#468C2211yescharacteristic
53C2×#468C2211yescharacteristic
54C2×#467C2211yescharacteristic, complemented
55C2×#466C2211yescharacteristic
56C2×#465C2211yescharacteristic
57C2×#465C2211yescharacteristic, complemented
58C2×#464C2211yescharacteristic
59C2×#464C2211yescharacteristic, complemented
60C2×#460C2211yescharacteristic
61C2×#460C2211yescharacteristic
62C2×#463C2211yescharacteristic
63C2×#463C2211yescharacteristic
64C2×#461C2211yescharacteristic, complemented
65C2×#461C2211yescharacteristic, complemented
66C2×#452C2211yescharacteristic, complemented
67C2×#452C2211yescharacteristic, complemented
68C2×#452C2211yescharacteristic, complemented
69C2×#452C2211yescharacteristic, complemented
70C2×#449C2211yescharacteristic
71C2×#449C2211yescharacteristic
72C2×#449C2211yescharacteristic, complemented
73C2×#449C2211yescharacteristic, complemented
74C2×#451C2211yescharacteristic, complemented
75C2×#448C2211yescharacteristic
76C2×#448C2211yescharacteristic
77C2×#448C2211yescharacteristic, complemented
78C2×#450C2211yescharacteristic
79C2×#450C2211yescharacteristic
80C2×#450C2211yescharacteristic
81C2×#447C2211yescharacteristic
82C2×#442C2211yescharacteristic, complemented
83C2×#442C2211yescharacteristic, complemented
84C2×#441C2211yescharacteristic, complemented
85C2×#441C2211yescharacteristic, complemented
86C2×#440C2211yescharacteristic
87C2×#440C2211yescharacteristic
88C2×#440C2211yescharacteristic, complemented
89C2×#440C2211yescharacteristic, complemented
90C2×#436C2211yescharacteristic, complemented
91C2×#435C2211yescharacteristic
92C2×#435C2211yescharacteristic, complemented
93C2×#435C2211yescharacteristic, complemented
94C2×#435C2211yescharacteristic, complemented
95C2×C8×D4C2211yescharacteristic, complemented
96#2681—21no—
97#2681—21no—
98#2678—21no—
99#2678—21no—
100#2538C2211yescharacteristic
101#2538C2211yescharacteristic, complemented
102#2537C2211yescharacteristic
103#2537C2211yescharacteristic, complemented
104#2536C2211yescharacteristic
105#2536C2211yescharacteristic, complemented
106#2535C2211yescharacteristic
107#2535C2211yescharacteristic
108#2491—21no—
109#2461—21no—
110#2461—21no—
111#2440—21no—
112#2433—21no—
113#2428—21no—
114#2428—21no—
115#2424—21no—
116#2424—21no—
117#2422—21no—
118#2409C2211yescharacteristic, complemented
119#2409C2211yescharacteristic, complemented
120#2408C2211yescharacteristic
121#2408C2211yescharacteristic
122#2407C2211yescharacteristic
123#2407C2211yescharacteristic
124#2407C2211yescharacteristic, complemented
125#2407C2211yescharacteristic, complemented
126#2361—21no—
127D4×C22⋊C4—21no—
128C4×C4⋊Q8C2211yescharacteristic, complemented
129C4×#127C2211yescharacteristic
130C4×#127C2211yescharacteristic
131C4×#124C2211yescharacteristic
132C4×#124C2211yescharacteristic, complemented
133#2056C2211yescharacteristic, complemented
134#2055C2211yescharacteristic
135#2055C2211yescharacteristic, complemented
136#2055C2211yescharacteristic, complemented
137#2055C2211yescharacteristic, complemented
138#2055C2211yescharacteristic, complemented
139#2055C2211yescharacteristic, complemented
140#2054C2211yescharacteristic
141#2036C2211yescharacteristic, complemented
142#2036C2211yescharacteristic, complemented
143#2036C2211yescharacteristic, complemented
144#2036C2211yescharacteristic, complemented
145#2035C2211yescharacteristic, complemented
146#2035C2211yescharacteristic, complemented
147#2035C2211yescharacteristic, complemented
148#2035C2211yescharacteristic, complemented
149#2034C2211yescharacteristic
150#2034C2211yescharacteristic, complemented
151#2034C2211yescharacteristic, complemented
152#2034C2211yescharacteristic, complemented
153#2033C2211yescharacteristic
154#2033C2211yescharacteristic
155#2033C2211yescharacteristic
156#2033C2211yescharacteristic, complemented
157#2001C2211yescharacteristic, complemented
158#2000C2211yescharacteristic
159#2000C2211yescharacteristic
160#2000C2211yescharacteristic
161#2000C2211yescharacteristic, complemented
162#2000C2211yescharacteristic, complemented
163#2000C2211yescharacteristic, complemented
164#1999C2211yescharacteristic
165#1970C2211yescharacteristic, complemented
166#1970C2211yescharacteristic, complemented
167#1969C2211yescharacteristic, complemented
168#1969C2211yescharacteristic, complemented
169#1968C2211yescharacteristic
170#1968C2211yescharacteristic
171#1968C2211yescharacteristic, complemented
172#1968C2211yescharacteristic, complemented
173#1961C2211yescharacteristic
174#1960C2211yescharacteristic, complemented
175#1959C2211yescharacteristic
176#1959C2211yescharacteristic, complemented
177#1955C2211yescharacteristic
178#1955C2211yescharacteristic, complemented
179#1955C2211yescharacteristic, complemented
180#1955C2211yescharacteristic, complemented
181#1954C2211yescharacteristic, complemented
182#1954C2211yescharacteristic, complemented
183#1847C2211yescharacteristic, complemented
184#1847C2211yescharacteristic, complemented
185#1842C2211yescharacteristic, complemented
186#1809C2211yescharacteristic, complemented
187#1809C2211yescharacteristic, complemented
188#1808C2211yescharacteristic, complemented
189#1807C2211yescharacteristic, complemented
190#1805C2211yescharacteristic, complemented
191#1805C2211yescharacteristic, complemented
192#1804C2211yescharacteristic
193#1804C2211yescharacteristic, complemented
194#1803C2211yescharacteristic, complemented
195#1803C2211yescharacteristic, complemented
196#1802C2211yescharacteristic, complemented
197#1802C2211yescharacteristic, complemented
198#1788C2211yescharacteristic, complemented
199#1788C2211yescharacteristic, complemented
200#1788C2211yescharacteristic, complemented
201#1788C2211yescharacteristic, complemented
202#1787C2211yescharacteristic, complemented
203#1787C2211yescharacteristic, complemented
204#1786C2211yescharacteristic
205#1786C2211yescharacteristic
206C4×#97C2211yescharacteristic, 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—42no—
219C2×AGL(1,ℤ/8)—24no—
220C2×AGL(1,ℤ/8)—24no—
221C2×AGL(1,ℤ/8)—42no—
222C2×#135—24no—
223C2×#135—24no—
224C2×#135—42no—
225C22×Q16C2311yescharacteristic
226C22×Q16C2311yescharacteristic
227C22×Q16C2311yescharacteristic
228C22×SD16—24no—
229C22×SD16—24no—
230C22×SD16—42no—
231C22×SD16C2311yescharacteristic
232C22×SD16C2311yescharacteristic
233C22×SD16C2311yescharacteristic
234C22×SD16C2311yescharacteristic
235C22×SD16C2311yescharacteristic
236C22×SD16C2311yescharacteristic
237C22×SD16C2311yescharacteristic
238C22×SD16C2311yescharacteristic
239C22×SD16C2311yescharacteristic
240C22×SD16C2311yescharacteristic
241C22×D8C2311yescharacteristic
242C22×D8C2311yescharacteristic
243C22×D8C2311yescharacteristic
244C22×M16C2311yescharacteristic
245C22×M16C2311yescharacteristic
246C23×C8C2311yescharacteristic
247C23×C8C2311yescharacteristic
248#550—24no—
249#550—42no—
250D4×Q8—24no—
251D4×Q8—42no—
252#548—24no—
253#548—24no—
254#548—42no—
255#548—42no—
256#547—24no—
257#547—42no—
258#546—24no—
259#546—24no—
260#546—42no—
261#546—42no—
262D42—24no—
263D42—42no—
264C2×C4⋊Q8—21no—
265C2×C4⋊Q8C2311yescharacteristic
266C2×#127—21no—
267C2×#127D411yescharacteristic
268C2×#127C2311yescharacteristic
269C2×#124—21no—
270C2×#124—21no—
271C2×#124C2311yescharacteristic
272C2×#124C2311yescharacteristic
273C2×#123—21no—
274C2×#123—21no—
275C2×#123—21no—
276C2×#123—21no—
277C2×C22⋊Q8—21no—
278C2×C22⋊Q8—21no—
279C2×C22⋊Q8—21no—
280C2×C22⋊Q8—21no—
281C2×C22⋊Q8C2311yescharacteristic
282C2×C22⋊Q8C2311yescharacteristic
283C2×C22⋊Q8C2311yescharacteristic
284C2×C22⋊Q8C2311yescharacteristic
285C2×C22⋊Q8C2311yescharacteristic
286C2×C22⋊Q8C2311yescharacteristic
287C2×C22⋊Q8C2311yescharacteristic
288C2×C22⋊Q8C2311yescharacteristic
289C2×#121—21no—
290C2×#121—21no—
291C2×#121—21no—
292C2×#121—21no—
293C2×#121—21no—
294C2×#121—21no—
295C2×#121—21no—
296C2×#121—21no—
297C2×#121—21no—
298C2×#121—21no—
299C2×#121C2311yescharacteristic
300C2×#121C2311yescharacteristic
301C2×#121C2311yescharacteristic
302C2×#121C2311yescharacteristic
303C2×#121C2311yescharacteristic
304C2×#121C2311yescharacteristic
305C2×#121C2311yescharacteristic
306C2×#121C2311yescharacteristic
307C2×#120—21no—
308C2×#120—21no—
309C2×#120—21no—
310C2×#120—21no—
311C2×#120—21no—
312C2×#120—21no—
313C2×C4×Q8C2311yescharacteristic
314C2×C4×Q8C2311yescharacteristic
315C2×C4×Q8C2311yescharacteristic
316C2×C4×Q8C2311yescharacteristic
317C2×C4×D4—21no—
318C2×C4×D4—21no—
319C2×C4×D4—21no—
320C2×C4×D4—21no—
321C2×C4×D4—21no—
322C2×C4×D4—21no—
323C2×C4×D4C2311yescharacteristic
324C2×C4×D4C2311yescharacteristic
325C2×C4×D4C2311yescharacteristic
326C2×C4×D4C2311yescharacteristic
327C2×C4×D4C2311yescharacteristic
328C2×C4×D4C2311yescharacteristic
329C2×C4×D4C2311yescharacteristic
330C2×C4×D4C2311yescharacteristic
331C2×C4×D4C2311yescharacteristic
332C2×C4×D4C2311yescharacteristic
333C22×C4⋊C4—21no—
334C22×C22⋊C4—21no—
335C22×C22⋊C4—21no—
336#497D418yescomplemented
337#496D418yescomplemented
338#470—24no—
339#469—24no—
340#468—24no—
341#468—24no—
342#467—24no—
343#466—24no—
344#465—24no—
345#465—24no—
346#464—24no—
347#464—24no—
348#463—24no—
349#463—24no—
350#461—24no—
351#461—24no—
352#460—24no—
353#460—24no—
354#452—24no—
355#452—24no—
356#452—24no—
357#452—24no—
358#451—24no—
359#450—24no—
360#450—24no—
361#450—24no—
362#449—24no—
363#449—24no—
364#449—24no—
365#449—24no—
366#448—24no—
367#448—24no—
368#448—24no—
369#447—24no—
370#442—24no—
371#442—42no—
372#441—24no—
373#441—42no—
374#440—24no—
375#440—24no—
376#440—42no—
377#440—42no—
378#436—42no—
379#435—24no—
380#435—24no—
381#435—24no—
382#435—24no—
383C8×D4—42no—
384C2×#107C2311yescharacteristic
385C2×#107C2311yescharacteristic
386C2×#107C2311yescharacteristic
387C2×#107C2311yescharacteristic
388C2×#106C2311yescharacteristic
389C2×#106C2311yescharacteristic
390C2×#106C2311yescharacteristic
391C2×#106C2311yescharacteristic
392C2×C4⋊C8C2311yescharacteristic
393C2×C4⋊C8C2311yescharacteristic
394C2×C4⋊C8C2311yescharacteristic
395C2×C4⋊C8C2311yescharacteristic
396C2×C4⋊C8C2311yescharacteristic
397C2×C4⋊C8C2311yescharacteristic
398C2×#103C2311yescharacteristic
399C2×#103C2311yescharacteristic
400C2×#103C2311yescharacteristic
401C2×#103C2311yescharacteristic
402C2×#103C2311yescharacteristic
403C2×#103C2311yescharacteristic
404C2×#103C2311yescharacteristic
405C2×#103C2311yescharacteristic
406C2×#103C2311yescharacteristic
407C2×#103C2311yescharacteristic
408C2×#103C2311yescharacteristic
409C2×#103C2311yescharacteristic
410C2×#103C2311yescharacteristic
411C2×#103C2311yescharacteristic
412C2×#103C2311yescharacteristic
413C2×#103C2311yescharacteristic
414C2×#102C2311yescharacteristic
415C2×#102C2311yescharacteristic
416C2×#102C2311yescharacteristic
417C2×#102C2311yescharacteristic
418C2×#102C2311yescharacteristic
419C2×#102C2311yescharacteristic
420C2×#102C2311yescharacteristic
421C2×#102C2311yescharacteristic
422C2×#102C2311yescharacteristic
423C2×#102C2311yescharacteristic
424C2×#102C2311yescharacteristic
425C2×#102C2311yescharacteristic
426C2×#102C2311yescharacteristic
427C2×#102C2311yescharacteristic
428C2×#102C2311yescharacteristic
429C2×#102C2311yescharacteristic
430C2×C22⋊C8C2311yescharacteristic
431C2×C22⋊C8C2311yescharacteristic
432C2×C22⋊C8C2311yescharacteristic
433C2×C22⋊C8C2311yescharacteristic
434C2×C22⋊C8C2311yescharacteristic
435C2×C22⋊C8C2311yescharacteristic
436C2×C22⋊C8C2311yescharacteristic
437C2×C22⋊C8C2311yescharacteristic
438C2×C22⋊C8C2311yescharacteristic
439C2×C22⋊C8C2311yescharacteristic
440C2×C22⋊C8C2311yescharacteristic
441C2×C22⋊C8C2311yescharacteristic
442C2×#97C2311yescharacteristic
443C2×#97C2311yescharacteristic
444C2×#97C2311yescharacteristic
445C2×#97C2311yescharacteristic
446C2×C4×C8C2311yescharacteristic
447C2×C4×C8C2311yescharacteristic
448#398—21no—
449#398—21no—
450#397—21no—
451#397—21no—
452#396—21no—
453#396—21no—
454#396—21no—
455#396—21no—
456#395—21no—
457#395—21no—
458#394—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#393—21no—
471#393—21no—
472#392—21no—
473#392—21no—
474#392—21no—
475#392—21no—
476#392—21no—
477#392—21no—
478#392—21no—
479#392—21no—
480#391C2311yescharacteristic
481#391C2311yescharacteristic
482#391C2311yescharacteristic
483#391C2311yescharacteristic
484#390—21no—
485#390—21no—
486#390—21no—
487#390—21no—
488#390D411yescharacteristic
489#390D411yescharacteristic
490#390D411yescharacteristic
491#390D411yescharacteristic
492#390D411yescharacteristic
493#390D411yescharacteristic
494#390C2311yescharacteristic
495#390C2311yescharacteristic
496#390C2311yescharacteristic
497#390C2311yescharacteristic
498#389—21no—
499#389—21no—
500#389—21no—
501#389—21no—
502#388—21no—
503#388—21no—
504#388—21no—
505#388—21no—
506#388—21no—
507#388—21no—
508#388—21no—
509#388—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#385—21no—
521#385—21no—
522#385—21no—
523#385—21no—
524#385—21no—
525#385—21no—
526#384D411yescharacteristic
527#384C2311yescharacteristic
528#384C2311yescharacteristic
529#382C2311yescharacteristic
530#382C2311yescharacteristic
531#380—21no—
532#380—21no—
533#380C2311yescharacteristic
534#380C2311yescharacteristic
535#380C2311yescharacteristic
536#380C2311yescharacteristic
537#380C2311yescharacteristic
538#380C2311yescharacteristic
539#380C2311yescharacteristic
540#380C2311yescharacteristic
541#379—21no—
542#379—21no—
543C4×C4⋊C4—21no—
544C4×C4⋊C4—21no—
545C4×C22⋊C4—21no—
546C4×C22⋊C4—21no—
547C4×C22⋊C4—21no—
548C4×C22⋊C4—21no—
549C43C2311yescharacteristic
550#340C2311yescharacteristic
551#340C2311yescharacteristic
552#340C2311yescharacteristic
553#340C2311yescharacteristic
554#340C2311yescharacteristic
555#340C2311yescharacteristic
556#340C2311yescharacteristic
557#340C2311yescharacteristic
558C25—21no—
559C25—21no—
560C2×#41—22no—
561C2×#41—22no—
562C2×#41—22no—
563C2×#41—22no—
564C2×#41—22no—
565C2×#41—22no—
566C2×#41—22no—
567C2×#41—22no—
568C2×#41—41no—
569C2×#41—41no—
570C2×#41—41no—
571C2×#41—41no—
572C2×#41—41no—
573C2×#41—41no—
574C2×#41—41no—
575C2×#41—41no—
576C2×#41—41no—
577C2×#41—41no—
578C2×#41—41no—
579C2×#41—41no—
580C2×#41—41no—
581C2×#41—41no—
582C2×#41—41no—
583C2×#41—41no—
584C22×Q8—21no—
585C22×Q8—21no—
586C22×Q8—22no—
587C22×Q8—22no—
588C22×Q8—22no—
589C22×Q8—22no—
590C22×Q8—41no—
591C22×Q8—41no—
592C22×Q8—41no—
593C22×Q8—41no—
594C22×Q8—41no—
595C22×Q8—41no—
596C22×Q8—41no—
597C22×Q8—41no—
598C22×Q8C2411yescharacteristic
599C22×Q8C2411yescharacteristic
600C22×Q8C2411yescharacteristic
601C22×Q8C2411yescharacteristic
602C22×D4—22no—
603C22×D4—22no—
604C22×D4—22no—
605C22×D4—22no—
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—41no—
623C22×D4—41no—
624C22×D4—41no—
625C22×D4—41no—
626C22×D4—41no—
627C22×D4—41no—
628C22×D4—41no—
629C22×D4—41no—
630C22×D4—44no—
631C22×D4—44no—
632C22×D4—82no—
633C22×D4C2×D411yescharacteristic
634C22×D4C2×D411yescharacteristic
635C22×D4C2×D411yescharacteristic
636C22×D4C2×D411yescharacteristic
637C22×D4C2×D411yescharacteristic
638C22×D4C2×D411yescharacteristic
639C22×D4C2411yescharacteristic
640C22×D4C2411yescharacteristic
641C22×D4C2411yescharacteristic
642C22×D4C2411yescharacteristic
643C23×C4—21no—
644C23×C4—21no—
645C23×C4—21no—
646C23×C4—21no—
647C23×C4—21no—
648C23×C4—21no—
649C23×C4—21no—
650C23×C4—21no—
651C23×C4—21no—
652C23×C4—21no—
653C23×C4C2411yescharacteristic
654C23×C4C2411yescharacteristic
655C23×C4C2411yescharacteristic
656C23×C4C2411yescharacteristic
657#137—416no—
658AGL(1,ℤ/8)—416no—
659#135—416no—
660C2×Q16—22no—
661C2×Q16—22no—
662C2×Q16—22no—
663C2×Q16—22no—
664C2×Q16—41no—
665C2×Q16—41no—
666C2×Q16—41no—
667C2×Q16C2×D414yescomplemented
668C2×Q16C2×D414yescomplemented
669C2×SD16—22no—
670C2×SD16—22no—
671C2×SD16—22no—
672C2×SD16—22no—
673C2×SD16—22no—
674C2×SD16—22no—
675C2×SD16—22no—
676C2×SD16—22no—
677C2×SD16—22no—
678C2×SD16—22no—
679C2×SD16—22no—
680C2×SD16—22no—
681C2×SD16—22no—
682C2×SD16—22no—
683C2×SD16—22no—
684C2×SD16—22no—
685C2×SD16—41no—
686C2×SD16—41no—
687C2×SD16—41no—
688C2×SD16—41no—
689C2×SD16—41no—
690C2×SD16—41no—
691C2×SD16—41no—
692C2×SD16—41no—
693C2×SD16—41no—
694C2×SD16—41no—
695C2×SD16—416no—
696C2×SD16C2×D414yes—
697C2×SD16C2×D414yes—
698C2×SD16C2×D414yes—
699C2×SD16C2×D414yes—
700C2×D8—22no—
701C2×D8—22no—
702C2×D8—22no—
703C2×D8—22no—
704C2×D8—41no—
705C2×D8—41no—
706C2×D8—41no—
707C2×D8C2×D414yes—
708C2×D8C2×D414yes—
709C2×M16—22no—
710C2×M16—22no—
711C2×M16—22no—
712C2×M16—22no—
713C2×M16—22no—
714C2×M16—22no—
715C22×C8—22no—
716C22×C8—22no—
717C22×C8—22no—
718C22×C8—22no—
719C22×C8—22no—
720C22×C8—22no—
721C22×C8C2411yescharacteristic
722C22×C8C2411yescharacteristic
723C22×C8C2411yescharacteristic
724C22×C8C2411yescharacteristic
725C22×C8C2411yescharacteristic
726C22×C8C2411yescharacteristic
727C22×C8C2411yescharacteristic
728C22×C8C2411yescharacteristic
729C4⋊Q8—22no—
730C4⋊Q8—44no—
731C4⋊Q8C2×D414yescomplemented
732#127—22no—
733#127—42no—
734#127—44no—
735#127C2×D414yes—
736#124—22no—
737#124—22no—
738#124—44no—
739#124—44no—
740#124C2×D414yes—
741#124C2×D414yes—
742#123—44no—
743#123—44no—
744#123—44no—
745#123—44no—
746C22⋊Q8—22no—
747C22⋊Q8—22no—
748C22⋊Q8—22no—
749C22⋊Q8—22no—
750C22⋊Q8—22no—
751C22⋊Q8—22no—
752C22⋊Q8—22no—
753C22⋊Q8—22no—
754C22⋊Q8—44no—
755C22⋊Q8—44no—
756C22⋊Q8—44no—
757C22⋊Q8—44no—
758C22⋊Q8—41no—
759C22⋊Q8—41no—
760C22⋊Q8—41no—
761C22⋊Q8—41no—
762C22⋊Q8—41no—
763C22⋊Q8—41no—
764C22⋊Q8—41no—
765C22⋊Q8—41no—
766#121—22no—
767#121—22no—
768#121—22no—
769#121—22no—
770#121—22no—
771#121—22no—
772#121—22no—
773#121—22no—
774#121—44no—
775#121—44no—
776#121—44no—
777#121—44no—
778#121—44no—
779#121—44no—
780#121—41no—
781#121—41no—
782#121—41no—
783#121—41no—
784#121—41no—
785#121—41no—
786#121—41no—
787#121—41no—
788#121—44no—
789#121—44no—
790#121—44no—
791#121—82no—
792#120—44no—
793#120—44no—
794#120—44no—
795#120—44no—
796#120—82no—
797#120—82no—
798C4×Q8—22no—
799C4×Q8—22no—
800C4×Q8—22no—
801C4×Q8—22no—
802C4×Q8—22no—
803C4×Q8—22no—
804C4×Q8—22no—
805C4×Q8—22no—
806C4×D4—22no—
807C4×D4—22no—
808C4×D4—22no—
809C4×D4—22no—
810C4×D4—22no—
811C4×D4—22no—
812C4×D4—22no—
813C4×D4—22no—
814C4×D4—22no—
815C4×D4—22no—
816C4×D4—22no—
817C4×D4—22no—
818C4×D4—22no—
819C4×D4—22no—
820C4×D4—22no—
821C4×D4—22no—
822C4×D4—41no—
823C4×D4—41no—
824C4×D4—41no—
825C4×D4—41no—
826C4×D4—44no—
827C4×D4—44no—
828C4×D4—44no—
829C4×D4—44no—
830C4×D4—82no—
831C4×D4—82no—
832C2×C4⋊C4—21no—
833C2×C4⋊C4—21no—
834C2×C4⋊C4—21no—
835C2×C4⋊C4—21no—
836C2×C4⋊C4—21no—
837C2×C4⋊C4—21no—
838C2×C4⋊C4—21no—
839C2×C4⋊C4—21no—
840C2×C4⋊C4—21no—
841C2×C4⋊C4—21no—
842C2×C4⋊C4—21no—
843C2×C4⋊C4—21no—
844C2×C4⋊C4—21no—
845C2×C4⋊C4—21no—
846C2×C4⋊C4—21no—
847C2×C4⋊C4—21no—
848C2×C4⋊C4—21no—
849C2×C4⋊C4—21no—
850C2×C4⋊C4—44no—
851C2×C4⋊C4C2×D411yescharacteristic
852C2×C4⋊C4C2×D411yescharacteristic
853C2×C4⋊C4C2×D411yescharacteristic
854C2×C4⋊C4C2×D411yescharacteristic
855C2×C4⋊C4C2×D411yescharacteristic
856C2×C4⋊C4C2×D411yescharacteristic
857C2×C4⋊C4C2411yescharacteristic
858C2×C4⋊C4C2411yescharacteristic
859C2×C4⋊C4C2411yescharacteristic
860C2×C4⋊C4C2411yescharacteristic
861C2×C4⋊C4C2411yescharacteristic
862C2×C4⋊C4C2411yescharacteristic
863C2×C4⋊C4C2411yescharacteristic
864C2×C4⋊C4C2411yescharacteristic
865C2×C22⋊C4—21no—
866C2×C22⋊C4—21no—
867C2×C22⋊C4—21no—
868C2×C22⋊C4—21no—
869C2×C22⋊C4—21no—
870C2×C22⋊C4—21no—
871C2×C22⋊C4—21no—
872C2×C22⋊C4—21no—
873C2×C22⋊C4—21no—
874C2×C22⋊C4—21no—
875C2×C22⋊C4—21no—
876C2×C22⋊C4—21no—
877C2×C22⋊C4—21no—
878C2×C22⋊C4—21no—
879C2×C22⋊C4—21no—
880C2×C22⋊C4—21no—
881C2×C22⋊C4—21no—
882C2×C22⋊C4—21no—
883C2×C22⋊C4—21no—
884C2×C22⋊C4—21no—
885C2×C22⋊C4—21no—
886C2×C22⋊C4—21no—
887C2×C22⋊C4—21no—
888C2×C22⋊C4—21no—
889C2×C22⋊C4—21no—
890C2×C22⋊C4—21no—
891C2×C22⋊C4—21no—
892C2×C22⋊C4—21no—
893C2×C22⋊C4—21no—
894C2×C22⋊C4—21no—
895C2×C22⋊C4—21no—
896C2×C22⋊C4—21no—
897C2×C22⋊C4—21no—
898C2×C22⋊C4—21no—
899C2×C22⋊C4—21no—
900C2×C22⋊C4—21no—
901C2×C22⋊C4—21no—
902C2×C22⋊C4—21no—
903C2×C22⋊C4—21no—
904C2×C22⋊C4—21no—
905C2×C22⋊C4—44no—
906C2×C22⋊C4—44no—
907C2×C22⋊C4C2×D411yescharacteristic
908C2×C22⋊C4C2×D411yescharacteristic
909C2×C22⋊C4C2×D411yescharacteristic
910C2×C22⋊C4C2×D411yescharacteristic
911C2×C22⋊C4C2×D411yescharacteristic
912C2×C22⋊C4C2×D411yescharacteristic
913C2×C22⋊C4C2×D411yescharacteristic
914C2×C22⋊C4C2×D411yescharacteristic
915C2×C22⋊C4C2×D411yescharacteristic
916C2×C22⋊C4C2×D411yescharacteristic
917C2×C22⋊C4C2×D411yescharacteristic
918C2×C22⋊C4C2×D411yescharacteristic
919C2×C42—21no—
920C2×C42—21no—
921C2×C42—21no—
922C2×C42—21no—
923C2×C42C2×D411yescharacteristic
924C2×C42C2×D411yescharacteristic
925C2×C42C2×D411yescharacteristic
926C2×C42C2×D411yescharacteristic
927C2×C42C2411yescharacteristic
928C2×C42C2411yescharacteristic
929C2×C42C2411yescharacteristic
930#107—22no—
931#107—22no—
932#107—41no—
933#107—41no—
934#106—22no—
935#106—22no—
936#106—41no—
937#106—41no—
938C4⋊C8—22no—
939C4⋊C8—22no—
940C4⋊C8—22no—
941C4⋊C8—22no—
942C4⋊C8—41no—
943C4⋊C8—41no—
944#103—22no—
945#103—22no—
946#103—22no—
947#103—22no—
948#103—22no—
949#103—22no—
950#103—22no—
951#103—22no—
952#103—22no—
953#103—22no—
954#103—22no—
955#103—22no—
956#103—41no—
957#103—41no—
958#103—41no—
959#103—41no—
960#102—22no—
961#102—22no—
962#102—22no—
963#102—22no—
964#102—22no—
965#102—22no—
966#102—22no—
967#102—22no—
968#102—22no—
969#102—22no—
970#102—22no—
971#102—22no—
972#102—41no—
973#102—41no—
974#102—41no—
975#102—41no—
976C22⋊C8—22no—
977C22⋊C8—22no—
978C22⋊C8—22no—
979C22⋊C8—22no—
980C22⋊C8—22no—
981C22⋊C8—22no—
982C22⋊C8—22no—
983C22⋊C8—22no—
984C22⋊C8—41no—
985C22⋊C8—41no—
986C22⋊C8—41no—
987C22⋊C8—41no—
988#97—22no—
989#97—22no—
990#97C2×D414yes—
991#97C2×D414yescomplemented
992C4×C8—22no—
993C4×C8—41no—
994#95—21no—
995#95—21no—
996#95—21no—
997#95—21no—
998#95—21no—
999#95—21no—
1000#95—21no—
1001#95—21no—
1002#95—21no—
1003#95—21no—
1004#95—21no—
1005#95—21no—
1006#95—21no—
1007#95—21no—
1008#95—21no—
1009#95—21no—
1010#95—21no—
1011#95—21no—
1012#95—21no—
1013#95—21no—
1014C24—21no—
1015C24—21no—
1016C24—21no—
1017C24—21no—
1018C24—42no—
1019C24—42no—
1020C24—42no—
1021C24—42no—
1022C24—42no—
1023C24—42no—
1024C24—81no—
1025C24—81no—
1026C24—81no—
1027C24—81no—
1028C24—81no—
1029C24—81no—
1030C24—81no—
1031C24—81no—
1032C24C22×D411yescharacteristic
1033C24C22×D411yescharacteristic
1034C24C22×D411yescharacteristic
1035C24C22×D411yescharacteristic
1036#41—44no—
1037#41—44no—
1038#41—44no—
1039#41—44no—
1040#41—82no—
1041#41—82no—
1042#41—82no—
1043#41—82no—
1044#41—82no—
1045#41—82no—
1046#41—82no—
1047#41—82no—
1048#41—82no—
1049#41—82no—
1050#41—82no—
1051#41—82no—
1052C2×Q8—21no—
1053C2×Q8—21no—
1054C2×Q8—21no—
1055C2×Q8—21no—
1056C2×Q8—21no—
1057C2×Q8—21no—
1058C2×Q8—21no—
1059C2×Q8—21no—
1060C2×Q8—21no—
1061C2×Q8—21no—
1062C2×Q8—21no—
1063C2×Q8—21no—
1064C2×Q8—21no—
1065C2×Q8—21no—
1066C2×Q8—21no—
1067C2×Q8—21no—
1068C2×Q8—21no—
1069C2×Q8—21no—
1070C2×Q8—21no—
1071C2×Q8—21no—
1072C2×Q8—42no—
1073C2×Q8—42no—
1074C2×Q8—42no—
1075C2×Q8—42no—
1076C2×Q8—44no—
1077C2×Q8—44no—
1078C2×Q8—81no—
1079C2×Q8—81no—
1080C2×Q8—82no—
1081C2×Q8—82no—
1082C2×Q8—82no—
1083C2×Q8—82no—
1084C2×Q8—82no—
1085C2×Q8—82no—
1086C2×Q8C22×D412yes—
1087C2×Q8C22×D412yes—
1088C2×Q8C22×D412yes—
1089C2×Q8C22×D412yes—
1090C2×D4—22no—
1091C2×D4—22no—
1092C2×D4—22no—
1093C2×D4—22no—
1094C2×D4—22no—
1095C2×D4—24no—
1096C2×D4—22no—
1097C2×D4—22no—
1098C2×D4—24no—
1099C2×D4—22no—
1100C2×D4—22no—
1101C2×D4—21no—
1102C2×D4—21no—
1103C2×D4—21no—
1104C2×D4—21no—
1105C2×D4—21no—
1106C2×D4—21no—
1107C2×D4—21no—
1108C2×D4—21no—
1109C2×D4—21no—
1110C2×D4—21no—
1111C2×D4—21no—
1112C2×D4—21no—
1113C2×D4—21no—
1114C2×D4—21no—
1115C2×D4—21no—
1116C2×D4—21no—
1117C2×D4—21no—
1118C2×D4—21no—
1119C2×D4—21no—
1120C2×D4—21no—
1121C2×D4—41no—
1122C2×D4—41no—
1123C2×D4—41no—
1124C2×D4—42no—
1125C2×D4—42no—
1126C2×D4—41no—
1127C2×D4—41no—
1128C2×D4—41no—
1129C2×D4—41no—
1130C2×D4—41no—
1131C2×D4—41no—
1132C2×D4—42no—
1133C2×D4—42no—
1134C2×D4—42no—
1135C2×D4—42no—
1136C2×D4—42no—
1137C2×D4—42no—
1138C2×D4—42no—
1139C2×D4—42no—
1140C2×D4—44no—
1141C2×D4—44no—
1142C2×D4—42no—
1143C2×D4—42no—
1144C2×D4—42no—
1145C2×D4—42no—
1146C2×D4—42no—
1147C2×D4—42no—
1148C2×D4—42no—
1149C2×D4—42no—
1150C2×D4—42no—
1151C2×D4—42no—
1152C2×D4—42no—
1153C2×D4—42no—
1154C2×D4—42no—
1155C2×D4—42no—
1156C2×D4—42no—
1157C2×D4—42no—
1158C2×D4—81no—
1159C2×D4—81no—
1160C2×D4—81no—
1161C2×D4—81no—
1162C2×D4—82no—
1163C2×D4—82no—
1164C2×D4—82no—
1165C2×D4—82no—
1166C2×D4—82no—
1167C2×D4—82no—
1168C2×D4—81no—
1169C2×D4—81no—
1170C2×D4—81no—
1171C2×D4—81no—
1172C2×D4—81no—
1173C2×D4—81no—
1174C2×D4—81no—
1175C2×D4—81no—
1176C2×D4—81no—
1177C2×D4—81no—
1178C2×D4—81no—
1179C2×D4—81no—
1180C2×D4—81no—
1181C2×D4—81no—
1182C2×D4—81no—
1183C2×D4—81no—
1184C2×D4—816no—
1185C2×D4C22×D412yes—
1186C2×D4C22×D412yes—
1187C2×D4C22×D412yes—
1188C2×D4C22×D412yes—
1189C22×C4—21no—
1190C22×C4—21no—
1191C22×C4—21no—
1192C22×C4—21no—
1193C22×C4—21no—
1194C22×C4—21no—
1195C22×C4—21no—
1196C22×C4—21no—
1197C22×C4—21no—
1198C22×C4—21no—
1199C22×C4—21no—
1200C22×C4—21no—
1201C22×C4—21no—
1202C22×C4—21no—
1203C22×C4—21no—
1204C22×C4—21no—
1205C22×C4—21no—
1206C22×C4—21no—
1207C22×C4—21no—
1208C22×C4—21no—
1209C22×C4—21no—
1210C22×C4—21no—
1211C22×C4—21no—
1212C22×C4—21no—
1213C22×C4—21no—
1214C22×C4—21no—
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—42no—
1226C22×C4—42no—
1227C22×C4—42no—
1228C22×C4—42no—
1229C22×C4—42no—
1230C22×C4—42no—
1231C22×C4—42no—
1232C22×C4—42no—
1233C22×C4—42no—
1234C22×C4—42no—
1235C22×C4—42no—
1236C22×C4—42no—
1237C22×C4—42no—
1238C22×C4—42no—
1239C22×C4—42no—
1240C22×C4—42no—
1241C22×C4—42no—
1242C22×C4—42no—
1243C22×C4—42no—
1244C22×C4—42no—
1245C22×C4—81no—
1246C22×C4—81no—
1247C22×C4—81no—
1248C22×C4—81no—
1249C22×C4—81no—
1250C22×C4—81no—
1251C22×C4—81no—
1252C22×C4—81no—
1253C22×C4—81no—
1254C22×C4—81no—
1255C22×C4C22×D411yescharacteristic
1256C22×C4C22×D411yescharacteristic
1257C22×C4C22×D411yescharacteristic
1258C22×C4C22×D411yescharacteristic
1259C22×C4C22×D411yescharacteristic
1260C22×C4C22×D411yescharacteristic
1261C22×C4C22×D411yescharacteristic
1262C22×C4C22×D411yescharacteristic
1263C22×C4C22×D411yescharacteristic
1264C22×C4C22×D411yescharacteristic
1265C22×C4C2511yescharacteristic
1266Q16—28no—
1267Q16—44no—
1268Q16—44no—
1269SD16—28no—
1270SD16—28no—
1271SD16—44no—
1272SD16—44no—
1273SD16—44no—
1274SD16—44no—
1275SD16—44no—
1276SD16—44no—
1277SD16—44no—
1278SD16—44no—
1279D8—28no—
1280D8—44no—
1281D8—44no—
1282M16—44no—
1283M16—44no—
1284C2×C8—21no—
1285C2×C8—21no—
1286C2×C8—21no—
1287C2×C8—21no—
1288C2×C8—21no—
1289C2×C8—21no—
1290C2×C8—21no—
1291C2×C8—21no—
1292C2×C8—21no—
1293C2×C8—21no—
1294C2×C8—21no—
1295C2×C8—21no—
1296C2×C8—21no—
1297C2×C8—21no—
1298C2×C8—21no—
1299C2×C8—21no—
1300C2×C8—21no—
1301C2×C8—21no—
1302C2×C8—21no—
1303C2×C8—44no—
1304C2×C8—44no—
1305C2×C8C22×D412yes—
1306C2×C8C22×D412yes—
1307C2×C8C22×D412yes—
1308C2×C8C22×D412yes—
1309C2×C8H(5,𝔽2)12yes—
1310C4⋊C4—24no—
1311C4⋊C4—24no—
1312C4⋊C4—22no—
1313C4⋊C4—22no—
1314C4⋊C4—22no—
1315C4⋊C4—22no—
1316C4⋊C4—21no—
1317C4⋊C4—21no—
1318C4⋊C4—21no—
1319C4⋊C4—21no—
1320C4⋊C4—21no—
1321C4⋊C4—21no—
1322C4⋊C4—21no—
1323C4⋊C4—21no—
1324C4⋊C4—21no—
1325C4⋊C4—21no—
1326C4⋊C4—21no—
1327C4⋊C4—21no—
1328C4⋊C4—21no—
1329C4⋊C4—21no—
1330C4⋊C4—21no—
1331C4⋊C4—21no—
1332C4⋊C4—41no—
1333C4⋊C4—41no—
1334C4⋊C4—42no—
1335C4⋊C4—42no—
1336C4⋊C4—42no—
1337C4⋊C4—42no—
1338C4⋊C4—42no—
1339C4⋊C4—42no—
1340C4⋊C4—42no—
1341C4⋊C4—42no—
1342C4⋊C4—42no—
1343C4⋊C4—42no—
1344C4⋊C4—42no—
1345C4⋊C4—42no—
1346C4⋊C4—42no—
1347C4⋊C4—42no—
1348C4⋊C4—81no—
1349C4⋊C4—81no—
1350C22⋊C4—24no—
1351C22⋊C4—24no—
1352C22⋊C4—24no—
1353C22⋊C4—24no—
1354C22⋊C4—22no—
1355C22⋊C4—22no—
1356C22⋊C4—22no—
1357C22⋊C4—22no—
1358C22⋊C4—22no—
1359C22⋊C4—22no—
1360C22⋊C4—22no—
1361C22⋊C4—22no—
1362C22⋊C4—41no—
1363C22⋊C4—41no—
1364C22⋊C4—41no—
1365C22⋊C4—41no—
1366C22⋊C4—42no—
1367C22⋊C4—42no—
1368C22⋊C4—42no—
1369C22⋊C4—42no—
1370C22⋊C4—42no—
1371C22⋊C4—42no—
1372C22⋊C4—42no—
1373C22⋊C4—42no—
1374C22⋊C4—42no—
1375C22⋊C4—42no—
1376C22⋊C4—42no—
1377C22⋊C4—42no—
1378C22⋊C4—42no—
1379C22⋊C4—42no—
1380C22⋊C4—42no—
1381C22⋊C4—42no—
1382C22⋊C4—42no—
1383C22⋊C4—42no—
1384C22⋊C4—42no—
1385C22⋊C4—42no—
1386C22⋊C4—42no—
1387C22⋊C4—42no—
1388C22⋊C4—42no—
1389C22⋊C4—42no—
1390C22⋊C4—42no—
1391C22⋊C4—42no—
1392C22⋊C4—81no—
1393C22⋊C4—81no—
1394C22⋊C4—81no—
1395C22⋊C4—81no—
1396C22⋊C4—81no—
1397C22⋊C4—81no—
1398C22⋊C4—81no—
1399C22⋊C4—81no—
1400C22⋊C4—81no—
1401C22⋊C4—81no—
1402C42—22no—
1403C42—21no—
1404C42—21no—
1405C42—41no—
1406C42—41no—
1407C42—41no—
1408C42—42no—
1409C42—42no—
1410C42—42no—
1411C42—42no—
1412C42C22×D412yes—
1413C42C22×D412yes—
1414C42H(5,𝔽2)12yes—
1415C42H(5,𝔽2)12yes—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—22no—
1429C23—22no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—22no—
1437C23—22no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—41no—
1448C23—41no—
1449C23—41no—
1450C23—41no—
1451C23—41no—
1452C23—41no—
1453C23—41no—
1454C23—41no—
1455C23—41no—
1456C23—41no—
1457C23—41no—
1458C23—41no—
1459C23—41no—
1460C23—41no—
1461C23—41no—
1462C23—41no—
1463C23—41no—
1464C23—41no—
1465C23—41no—
1466C23—41no—
1467C23—41no—
1468C23—41no—
1469C23—41no—
1470C23—41no—
1471C23—84no—
1472C23—84no—
1473C23—84no—
1474C23—84no—
1475C23—84no—
1476C23—84no—
1477C23—162no—
1478C23—162no—
1479C23—162no—
1480C23—162no—
1481C23—162no—
1482C23—162no—
1483C23—162no—
1484C23—162no—
1485C23#57512yes—
1486C23C23×D411yescharacteristic
1487Q8—22no—
1488Q8—22no—
1489Q8—22no—
1490Q8—22no—
1491Q8—22no—
1492Q8—22no—
1493Q8—22no—
1494Q8—22no—
1495Q8—41no—
1496Q8—41no—
1497Q8—41no—
1498Q8—41no—
1499Q8—41no—
1500Q8—41no—
1501Q8—41no—
1502Q8—41no—
1503Q8—84no—
1504Q8—84no—
1505D4—22no—
1506D4—22no—
1507D4—22no—
1508D4—22no—
1509D4—22no—
1510D4—22no—
1511D4—22no—
1512D4—22no—
1513D4—44no—
1514D4—44no—
1515D4—44no—
1516D4—48no—
1517D4—41no—
1518D4—41no—
1519D4—41no—
1520D4—41no—
1521D4—41no—
1522D4—41no—
1523D4—41no—
1524D4—41no—
1525D4—82no—
1526D4—82no—
1527D4—82no—
1528D4—84no—
1529D4—84no—
1530D4—84no—
1531D4—84no—
1532D4—84no—
1533D4—84no—
1534D4—84no—
1535D4—84no—
1536D4—84no—
1537D4—84no—
1538D4—84no—
1539D4—162no—
1540D4—162no—
1541D4—162no—
1542D4—162no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—41no—
1573C2×C4—41no—
1574C2×C4—41no—
1575C2×C4—41no—
1576C2×C4—41no—
1577C2×C4—41no—
1578C2×C4—41no—
1579C2×C4—41no—
1580C2×C4—41no—
1581C2×C4—41no—
1582C2×C4—41no—
1583C2×C4—41no—
1584C2×C4—41no—
1585C2×C4—41no—
1586C2×C4—41no—
1587C2×C4—41no—
1588C2×C4—41no—
1589C2×C4—41no—
1590C2×C4—41no—
1591C2×C4—41no—
1592C2×C4—41no—
1593C2×C4—41no—
1594C2×C4—41no—
1595C2×C4—41no—
1596C2×C4—41no—
1597C2×C4—41no—
1598C2×C4—41no—
1599C2×C4—41no—
1600C2×C4—41no—
1601C2×C4—41no—
1602C2×C4—41no—
1603C2×C4—41no—
1604C2×C4—41no—
1605C2×C4—41no—
1606C2×C4—41no—
1607C2×C4—41no—
1608C2×C4—41no—
1609C2×C4—41no—
1610C2×C4—41no—
1611C2×C4—41no—
1612C2×C4—41no—
1613C2×C4—41no—
1614C2×C4—41no—
1615C2×C4—41no—
1616C2×C4—41no—
1617C2×C4—41no—
1618C2×C4—41no—
1619C2×C4—41no—
1620C2×C4—84no—
1621C2×C4—84no—
1622C2×C4—84no—
1623C2×C4—84no—
1624C2×C4—84no—
1625C2×C4—84no—
1626C2×C4—84no—
1627C2×C4—84no—
1628C2×C4—162no—
1629C2×C4—162no—
1630C2×C4D4212yes—
1631C2×C4D4212yes—
1632C2×C4D4212yes—
1633C2×C4D4212yes—
1634C2×C4#57712yes—
1635C2×C4C23×D411yescharacteristic
1636C2×C4C23×D411yescharacteristic
1637C2×C4C2×H(5,𝔽2)11yescharacteristic
1638C2×C4C2×H(5,𝔽2)11yescharacteristic
1639C2×C4C2×H(5,𝔽2)11yescharacteristic
1640C2×C4#58511yescharacteristic
1641C8—22no—
1642C8—22no—
1643C8—41no—
1644C8—41no—
1645C8—41no—
1646C8—41no—
1647C8—41no—
1648C8D4214yes—
1649C22—22no—
1650C22—22no—
1651C22—22no—
1652C22—41no—
1653C22—41no—
1654C22—41no—
1655C22—41no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—42no—
1664C22—42no—
1665C22—41no—
1666C22—42no—
1667C22—41no—
1668C22—41no—
1669C22—41no—
1670C22—41no—
1671C22—42no—
1672C22—42no—
1673C22—42no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—42no—
1678C22—41no—
1679C22—41no—
1680C22—42no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—42no—
1686C22—42no—
1687C22—42no—
1688C22—42no—
1689C22—81no—
1690C22—81no—
1691C22—81no—
1692C22—81no—
1693C22—81no—
1694C22—81no—
1695C22—81no—
1696C22—81no—
1697C22—81no—
1698C22—81no—
1699C22—81no—
1700C22—81no—
1701C22—81no—
1702C22—81no—
1703C22—81no—
1704C22—81no—
1705C22—168no—
1706C22—168no—
1707C22C2×D4211yescharacteristic
1708C22C2×D4211yescharacteristic
1709C22#349611yescharacteristic
1710C22C2×#57511yescharacteristic
1711C22C2×#57711yescharacteristic
1712C22#358511yescharacteristic
1713C22#358611yescharacteristic
1714C4—22no—
1715C4—22no—
1716C4—22no—
1717C4—22no—
1718C4—22no—
1719C4—41no—
1720C4—41no—
1721C4—41no—
1722C4—41no—
1723C4—41no—
1724C4—42no—
1725C4—42no—
1726C4—42no—
1727C4—42no—
1728C4—81no—
1729C4—81no—
1730C4—81no—
1731C4—81no—
1732C4—81no—
1733C4—81no—
1734C4—81no—
1735C4—81no—
1736C4C2×D4211yescharacteristic
1737C4#349611yescharacteristic
1738C4#349611yescharacteristic
1739C4#354911yescharacteristic
1740C2—42no—
1741C2—81no—
1742C2—81no—
1743C2—81no—
1744C2—82no—
1745C2—82no—
1746C2—82no—
1747C2—82no—
1748C2#5981611yescharacteristic
1749C2#6106611yescharacteristic
1750C2#6106811yescharacteristic
1751C2#6109411yescharacteristic
1752C2#6109511yescharacteristic
1753C2#6225611yescharacteristic
1754C2#6233311yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C4×#127 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3271C2semidirect
2. C2×#3267C2semidirect
3. C2×#3266C2semidirect
4. C2×#3265C2semidirect
5. #59654C2semidirect
6. #59412C2semidirect
7. #31061C2semidirect
8. #31060C2semidirect
9. #31058C2semidirect
10. #31057C2semidirect
11. #28256C2semidirect
12. #28252C2semidirect
13. #28238C2semidirect
14. #28237C2semidirect
15. #28236C2semidirect
16. #28235C2semidirect
17. #24277C2semidirect
18. #24276C2semidirect
19. #24266C2semidirect
20. #24264C2semidirect
21. #24259C2semidirect
22. #24258C2semidirect
23. #24257C2semidirect
24. #24256C2semidirect
25. #24254C2semidirect
26. #24252C2semidirect
27. #24251C2semidirect
28. #24249C2semidirect
29. #21702C2semidirect
30. #21701C2semidirect
31. #21682C2semidirect
32. C22×#137C22semidirect
34. C22×#135C22semidirect
37. C2×D4×Q8C22semidirect
39. C2×#548C22semidirect
40. C2×#547C22semidirect
50. C2×#470C22semidirect
51. C2×#469C22semidirect
54. C2×#467C22semidirect
57. C2×#465C22semidirect
59. C2×#464C22semidirect
64. C2×#461C22semidirect
65. C2×#461C22semidirect
66. C2×#452C22semidirect
67. C2×#452C22semidirect
68. C2×#452C22semidirect
69. C2×#452C22semidirect
72. C2×#449C22semidirect
73. C2×#449C22semidirect
74. C2×#451C22semidirect
77. C2×#448C22semidirect
82. C2×#442C22semidirect
83. C2×#442C22semidirect
84. C2×#441C22semidirect
85. C2×#441C22semidirect
88. C2×#440C22semidirect
89. C2×#440C22semidirect
90. C2×#436C22semidirect
92. C2×#435C22semidirect
93. C2×#435C22semidirect
94. C2×#435C22semidirect
95. C2×C8×D4C22semidirect
101. #2538C22semidirect
103. #2537C22semidirect
105. #2536C22semidirect
118. #2409C22semidirect
119. #2409C22semidirect
124. #2407C22semidirect
125. #2407C22semidirect
128. C4×C4⋊Q8C22semidirect
132. C4×#124C22semidirect
133. #2056C22semidirect
135. #2055C22semidirect
136. #2055C22semidirect
137. #2055C22semidirect
138. #2055C22semidirect
139. #2055C22semidirect
141. #2036C22semidirect
142. #2036C22semidirect
143. #2036C22semidirect
144. #2036C22semidirect
145. #2035C22semidirect
146. #2035C22semidirect
147. #2035C22semidirect
148. #2035C22semidirect
150. #2034C22semidirect
151. #2034C22semidirect
152. #2034C22semidirect
156. #2033C22semidirect
157. #2001C22semidirect
161. #2000C22semidirect
162. #2000C22semidirect
163. #2000C22semidirect
165. #1970C22semidirect
166. #1970C22semidirect
167. #1969C22semidirect
168. #1969C22semidirect
171. #1968C22semidirect
172. #1968C22semidirect
174. #1960C22semidirect
176. #1959C22semidirect
178. #1955C22semidirect
179. #1955C22semidirect
180. #1955C22semidirect
181. #1954C22semidirect
182. #1954C22semidirect
183. #1847C22semidirect
184. #1847C22semidirect
185. #1842C22semidirect
186. #1809C22semidirect
187. #1809C22semidirect
188. #1808C22semidirect
189. #1807C22semidirect
190. #1805C22semidirect
191. #1805C22semidirect
193. #1804C22semidirect
194. #1803C22semidirect
195. #1803C22semidirect
196. #1802C22semidirect
197. #1802C22semidirect
198. #1788C22semidirect
199. #1788C22semidirect
200. #1788C22semidirect
201. #1788C22semidirect
202. #1787C22semidirect
203. #1787C22semidirect
206. C4×#97C22semidirect
336. #497D4semidirect
337. #496D4semidirect
667. C2×Q16C2×D4semidirect
668. C2×Q16C2×D4semidirect
731. C4⋊Q8C2×D4semidirect
991. #97C2×D4semidirect

Maximal subgroups

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

subgroupindex
C2×#32712
C2×#32672
C2×#32662
C2×#32652
#596542
#594122
#310612
#310602
#310582
#310572
#282562
#282522
#282382
#282372
#282362
#282352
#242772
#242762
#242662
#242642
#242592
#242582
#242572
#242562
#242542
#242522
#242512
#242492
#217022
#217012
#216822