Finite Group Databasebeta

← #7563240

Subgroups — #7563240

Order 512.

2991 conjugacy classes of subgroups.

The subgroup lattice has 1830 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3275C211yesmaximal, characteristic, complemented
2C2×#3274C211yesmaximal, characteristic, complemented
3C2×#3273C211yesmaximal, characteristic, complemented
4C2×#3153C211yesmaximal, characteristic, complemented
5#59131C211yesmaximal, characteristic, complemented
6#59129C211yesmaximal, characteristic, complemented
7#30474C211yesmaximal, characteristic, complemented
8#30468C211yesmaximal, characteristic, complemented
9#30466C211yesmaximal, characteristic, complemented
10#30460C211yesmaximal, characteristic, complemented
11#28487C211yesmaximal, characteristic, complemented
12#28465C211yesmaximal, characteristic, complemented
13#25796C211yesmaximal, characteristic, complemented
14#25794C211yesmaximal, characteristic, complemented
15#25762C211yesmaximal, characteristic, complemented
16#25762C211yesmaximal, characteristic, complemented
17#25417C211yesmaximal, characteristic, complemented
18#25416C211yesmaximal, characteristic, complemented
19#25373C211yesmaximal, characteristic, complemented
20#25372C211yesmaximal, characteristic, complemented
21#24277C211yesmaximal, characteristic, complemented
22#24276C211yesmaximal, characteristic, complemented
23#24215C211yesmaximal, characteristic, complemented
24#24214C211yesmaximal, characteristic, complemented
25#23871C211yesmaximal, characteristic, complemented
26#23870C211yesmaximal, characteristic, complemented
27#23861C211yesmaximal, characteristic, complemented
28#23860C211yesmaximal, characteristic, complemented
29#23183C211yesmaximal, characteristic, complemented
30C4×#469C211yesmaximal, characteristic, complemented
31#21488C211yesmaximal, 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, complemented
37C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
38C2×#550C2211yescharacteristic
39C2×#548C2211yescharacteristic
40C2×#546C2211yescharacteristic
41C2×#546C2211yescharacteristic, complemented
42C2×#546C2211yescharacteristic, complemented
43C2×D42C2211yescharacteristic, complemented
44C2×#532C2211yescharacteristic, complemented
45C22×#124C2211yescharacteristic, complemented
46#3275—28no—
47#3274—28no—
48#3273—28no—
49#3153—28no—
50C2×#497C2211yescharacteristic, complemented
51C2×#497C2211yescharacteristic, complemented
52C2×#496C2211yescharacteristic
53C2×#496C2211yescharacteristic, complemented
54C2×#495C2211yescharacteristic
55C2×#495C2211yescharacteristic, complemented
56C2×#495C2211yescharacteristic, complemented
57C2×#495C2211yescharacteristic, complemented
58C2×#495C2211yescharacteristic, complemented
59C2×#493C2211yescharacteristic
60C2×#470C2211yescharacteristic, complemented
61C2×#470C2211yescharacteristic, complemented
62C2×#469C2211yescharacteristic
63C2×#469C2211yescharacteristic, complemented
64C2×#469C2211yescharacteristic, complemented
65C2×#468C2211yescharacteristic
66C2×#468C2211yescharacteristic, complemented
67C2×#464C2211yescharacteristic, complemented
68C2×#460C2211yescharacteristic, complemented
69C2×#463C2211yescharacteristic
70C2×#463C2211yescharacteristic, complemented
71C2×#463C2211yescharacteristic, complemented
72C2×#463C2211yescharacteristic, complemented
73C2×#463C2211yescharacteristic, 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, complemented
84C2×#450C2211yescharacteristic, complemented
85C2×#450C2211yescharacteristic, complemented
86C2×#447C2211yescharacteristic
87C2×#447C2211yescharacteristic
88C2×#447C2211yescharacteristic
89C2×#447C2211yescharacteristic, complemented
90C2×#447C2211yescharacteristic, complemented
91C2×C4×SD16C2211yescharacteristic, complemented
92C2×C4×SD16C2211yescharacteristic, complemented
93C2×C4×D8C2211yescharacteristic, complemented
94C2×#436C2211yescharacteristic, complemented
95C2×#436C2211yescharacteristic, complemented
96C2×#436C2211yescharacteristic, complemented
97C2×C4×M16C2211yescharacteristic, complemented
98#2672—21no—
99#2671—21no—
100#2670—21no—
101#2669—21no—
102#2555—21no—
103#2544C2211yescharacteristic, complemented
104#2544C2211yescharacteristic, complemented
105#2540C2211yescharacteristic
106#2540C2211yescharacteristic, complemented
107#2472—21no—
108#2464—21no—
109#2455—21no—
110#2435C2211yescharacteristic, complemented
111#2433C2211yescharacteristic, complemented
112#2432C2211yescharacteristic, complemented
113#2431C2211yescharacteristic
114#2429C2211yescharacteristic, complemented
115#2428—21no—
116#2428C2211yescharacteristic, complemented
117#2427C2211yescharacteristic
118#2426C2211yescharacteristic, complemented
119#2424—21no—
120#2424—21no—
121#2424—21no—
122#2418—21no—
123#2410—21no—
124#2409C2211yescharacteristic, complemented
125#2408C2211yescharacteristic
126#2407C2211yescharacteristic
127#2407C2211yescharacteristic, complemented
128#2367C2211yescharacteristic, complemented
129#2367C2211yescharacteristic, complemented
130#2358—21no—
131D4×C22⋊C4—21no—
132C4×#121C2211yescharacteristic
133C4×#121C2211yescharacteristic, complemented
134C4×#121C2211yescharacteristic, complemented
135#2056C2211yescharacteristic, complemented
136#2055C2211yescharacteristic, complemented
137#2055C2211yescharacteristic, complemented
138#2054C2211yescharacteristic, complemented
139#2043C2211yescharacteristic, complemented
140#2042C2211yescharacteristic, complemented
141#2042C2211yescharacteristic, complemented
142#2041C2211yescharacteristic, complemented
143#2015C2211yescharacteristic, complemented
144#2014C2211yescharacteristic, complemented
145#2014C2211yescharacteristic, complemented
146#2014C2211yescharacteristic, complemented
147#2013C2211yescharacteristic, complemented
148#2012C2211yescharacteristic
149#2012C2211yescharacteristic
150#2012C2211yescharacteristic, complemented
151#2012C2211yescharacteristic, complemented
152#2012C2211yescharacteristic, complemented
153#2011C2211yescharacteristic
154#2011C2211yescharacteristic, complemented
155#2001C2211yescharacteristic, complemented
156#2001C2211yescharacteristic, complemented
157#2000C2211yescharacteristic
158#2000C2211yescharacteristic, complemented
159#2000C2211yescharacteristic, complemented
160#2000C2211yescharacteristic, complemented
161#2000C2211yescharacteristic, complemented
162#2000C2211yescharacteristic, complemented
163#2000C2211yescharacteristic, complemented
164#2000C2211yescharacteristic, complemented
165#1999C2211yescharacteristic
166#1999C2211yescharacteristic
167#1983C2211yescharacteristic, complemented
168#1983C2211yescharacteristic, complemented
169#1983C2211yescharacteristic, complemented
170#1983C2211yescharacteristic, complemented
171#1972C2211yescharacteristic, complemented
172#1970C2211yescharacteristic, complemented
173#1969C2211yescharacteristic, complemented
174#1968C2211yescharacteristic, complemented
175#1968C2211yescharacteristic, complemented
176#1954C2211yescharacteristic, complemented
177#1944C2211yescharacteristic, complemented
178#1939C2211yescharacteristic, complemented
179#1936C2211yescharacteristic, complemented
180#1936C2211yescharacteristic, complemented
181#1924C2211yescharacteristic, complemented
182#1924C2211yescharacteristic, complemented
183#1895C2211yescharacteristic, complemented
184#1895C2211yescharacteristic, complemented
185#1880C2211yescharacteristic, complemented
186#1879C2211yescharacteristic
187#1879C2211yescharacteristic
188#1879C2211yescharacteristic, complemented
189#1878C2211yescharacteristic, complemented
190#1878C2211yescharacteristic, complemented
191#1878C2211yescharacteristic, complemented
192#1877C2211yescharacteristic, complemented
193#1870C2211yescharacteristic, complemented
194#1870C2211yescharacteristic, complemented
195#1809C2211yescharacteristic, complemented
196#1797C2211yescharacteristic, complemented
197#1788C2211yescharacteristic, complemented
198#1788C2211yescharacteristic, complemented
199#1787C2211yescharacteristic, complemented
200#1786C2211yescharacteristic, complemented
201C4×#106C2211yescharacteristic, complemented
202C8×C4⋊C4C2211yescharacteristic, complemented
203C4×#102C2211yescharacteristic, complemented
204C4×#102C2211yescharacteristic, complemented
205#1753C2211yescharacteristic, complemented
206#1753C2211yescharacteristic, complemented
207C22×#41C2311yescharacteristic
208C22×#41C2311yescharacteristic
209C22×#41C2311yescharacteristic
210C22×#41C2311yescharacteristic
211C23×Q8C2311yescharacteristic
212C23×D4—21no—
213C23×D4C2311yescharacteristic
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)—24no—
228C2×AGL(1,ℤ/8)—24no—
229C2×AGL(1,ℤ/8)—42no—
230C2×AGL(1,ℤ/8)—42no—
231C2×AGL(1,ℤ/8)—42no—
232C2×AGL(1,ℤ/8)—42no—
233C2×AGL(1,ℤ/8)—42no—
234C22×Q16C2311yescharacteristic
235C22×Q16C2311yescharacteristic
236C22×Q16C2311yescharacteristic
237C22×Q16C2311yescharacteristic
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×D8C2311yescharacteristic
251C22×D8C2311yescharacteristic
252C22×D8C2311yescharacteristic
253C22×D8C2311yescharacteristic
254C22×D8C2311yescharacteristic
255C22×D8C2311yescharacteristic
256C22×D8C2311yescharacteristic
257C22×D8C2311yescharacteristic
258C22×D8C2311yescharacteristic
259C22×M16C2311yescharacteristic
260C22×M16C2311yescharacteristic
261C22×M16C2311yescharacteristic
262C22×M16C2311yescharacteristic
263#550—24no—
264#550—42no—
265#548—24no—
266#548—42no—
267#546—24no—
268#546—24no—
269#546—24no—
270#546—42no—
271#546—42no—
272#546—42no—
273D42—24no—
274D42—42no—
275#532—24no—
276#532—42no—
277C2×C4⋊Q8C2311yescharacteristic
278C2×#127—21no—
279C2×#127C2311yescharacteristic
280C2×#127C2311yescharacteristic
281C2×#127C2311yescharacteristic
282C2×#124—21no—
283C2×#124—24no—
284C2×#124—21no—
285C2×#124—21no—
286C2×#124—42no—
287C2×#124C2311yescharacteristic
288C2×#124C2311yescharacteristic
289C2×#124C2311yescharacteristic
290C2×#124C2311yescharacteristic
291C2×#124C2311yescharacteristic
292C2×#124C2311yescharacteristic
293C2×#124C2311yescharacteristic
294C2×#124C2311yescharacteristic
295C2×#123—21no—
296C2×#123—21no—
297C2×#123—21no—
298C2×C22⋊Q8—21no—
299C2×C22⋊Q8C2311yescharacteristic
300C2×C22⋊Q8C2311yescharacteristic
301C2×C22⋊Q8C2311yescharacteristic
302C2×C22⋊Q8C2311yescharacteristic
303C2×C22⋊Q8C2311yescharacteristic
304C2×C22⋊Q8C2311yescharacteristic
305C2×#121—21no—
306C2×#121—21no—
307C2×#121—21no—
308C2×#121—21no—
309C2×#121—21no—
310C2×#121—21no—
311C2×#121—21no—
312C2×#121—21no—
313C2×#121—21no—
314C2×#121—21no—
315C2×#121D411yescharacteristic
316C2×#121C2311yescharacteristic
317C2×#121C2311yescharacteristic
318C2×#121C2311yescharacteristic
319C2×#121C2311yescharacteristic
320C2×#121C2311yescharacteristic
321C2×#121C2311yescharacteristic
322C2×#121C2311yescharacteristic
323C2×#121C2311yescharacteristic
324C2×#120—21no—
325C2×#120—21no—
326C2×#120—21no—
327C2×#120—21no—
328C2×#120—21no—
329C2×#120—21no—
330C2×#120—21no—
331C2×#120—21no—
332C2×C4×Q8C2311yescharacteristic
333C2×C4×Q8C2311yescharacteristic
334C2×C4×D4—21no—
335C2×C4×D4—21no—
336C2×C4×D4—21no—
337C2×C4×D4—21no—
338C2×C4×D4—21no—
339C2×C4×D4—21no—
340C2×C4×D4C2311yescharacteristic
341C2×C4×D4C2311yescharacteristic
342C2×C4×D4C2311yescharacteristic
343C2×C4×D4C2311yescharacteristic
344C2×C4×D4C2311yescharacteristic
345C2×C4×D4C2311yescharacteristic
346C2×C4×D4C2311yescharacteristic
347C22×C22⋊C4—21no—
348C22×C22⋊C4—21no—
349C22×C22⋊C4—21no—
350C22×C22⋊C4—21no—
351C22×C22⋊C4—21no—
352C22×C42C2311yescharacteristic
353#497—24no—
354#497—24no—
355#496—24no—
356#496—24no—
357#495—24no—
358#495—24no—
359#495—24no—
360#495—24no—
361#495D418yescomplemented
362#493—24no—
363#470—24no—
364#470—42no—
365#469—24no—
366#469—42no—
367#469D418yescomplemented
368#468—24no—
369#468—24no—
370#464—24no—
371#463—24no—
372#463—24no—
373#463—24no—
374#463—42no—
375#463—42no—
376#460—24no—
377#459—24no—
378#452—24no—
379#452—24no—
380#452—24no—
381#452—42no—
382#450—24no—
383#450—42no—
384#449—24no—
385#449—24no—
386#449—24no—
387#449—42no—
388#448—24no—
389#447—24no—
390#447—24no—
391#447—24no—
392#447—24no—
393#447—42no—
394C4×SD16—24no—
395C4×SD16—24no—
396C4×D8—24no—
397#436—24no—
398#436—24no—
399#436—24no—
400C2×#107C2311yescharacteristic
401C2×#106C2311yescharacteristic
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×#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×#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
445C4×M16—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#397—21no—
456#396—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#393—21no—
474#392—21no—
475#392—21no—
476#392—21no—
477#392—21no—
478#392—21no—
479#392—21no—
480#392—21no—
481#392—21no—
482#392—21no—
483#392—21no—
484#391C2311yescharacteristic
485#391C2311yescharacteristic
486#391C2311yescharacteristic
487#391C2311yescharacteristic
488#390—21no—
489#390—21no—
490#390—21no—
491#390—21no—
492#390—21no—
493#390D411yescharacteristic
494#390C2311yescharacteristic
495#390C2311yescharacteristic
496#390C2311yescharacteristic
497#390C2311yescharacteristic
498#390C2311yescharacteristic
499#390C2311yescharacteristic
500#389—21no—
501#389D411yescharacteristic
502#389C2311yescharacteristic
503#389C2311yescharacteristic
504#388—21no—
505#388—21no—
506#388—21no—
507#388—21no—
508#388—21no—
509#388—21no—
510#388—21no—
511#388—21no—
512#388D411yescharacteristic
513#388D411yescharacteristic
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#386—21no—
523#386—21no—
524#386—21no—
525#386—21no—
526#386—21no—
527#386D411yescharacteristic
528#386D411yescharacteristic
529#385—21no—
530#385—21no—
531#385—21no—
532#385—21no—
533#385—21no—
534#385—21no—
535#385—21no—
536#380—21no—
537#380D411yescharacteristic
538#380C2311yescharacteristic
539#380C2311yescharacteristic
540#379—21no—
541#379—21no—
542#379—21no—
543C4×C4⋊C4C2311yescharacteristic
544C4×C4⋊C4C2311yescharacteristic
545C4×C4⋊C4C2311yescharacteristic
546C4×C22⋊C4—21no—
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—
566C25—21no—
567C2×#41—22no—
568C2×#41—22no—
569C2×#41—22no—
570C2×#41—22no—
571C2×#41—22no—
572C2×#41—22no—
573C2×#41—22no—
574C2×#41—22no—
575C2×#41—22no—
576C2×#41—22no—
577C2×#41—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—
590C2×#41—41no—
591C22×Q8—21no—
592C22×Q8—22no—
593C22×Q8—22no—
594C22×Q8—22no—
595C22×Q8—41no—
596C22×Q8—41no—
597C22×Q8—41no—
598C22×Q8C2411yescharacteristic
599C22×Q8C2411yescharacteristic
600C22×Q8C2411yescharacteristic
601C22×Q8C2411yescharacteristic
602C22×D4—21no—
603C22×D4—21no—
604C22×D4—22no—
605C22×D4—22no—
606C22×D4—22no—
607C22×D4—22no—
608C22×D4—22no—
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—22no—
620C22×D4—21no—
621C22×D4—21no—
622C22×D4—21no—
623C22×D4—21no—
624C22×D4—21no—
625C22×D4—21no—
626C22×D4—21no—
627C22×D4—21no—
628C22×D4—21no—
629C22×D4—22no—
630C22×D4—41no—
631C22×D4—41no—
632C22×D4—41no—
633C22×D4—41no—
634C22×D4—41no—
635C22×D4—41no—
636C22×D4—41no—
637C22×D4—41no—
638C22×D4—41no—
639C22×D4—41no—
640C22×D4—41no—
641C22×D4—44no—
642C22×D4—44no—
643C22×D4—82no—
644C22×D4C2×D411yescharacteristic
645C22×D4C2×D411yescharacteristic
646C22×D4C2×D411yescharacteristic
647C22×D4C2411yescharacteristic
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×C4C2×D411yescharacteristic
663C23×C4C2×D411yescharacteristic
664C23×C4C2411yescharacteristic
665C23×C4C2411yescharacteristic
666C23×C4C2411yescharacteristic
667#137—416no—
668#137—416no—
669AGL(1,ℤ/8)—416no—
670AGL(1,ℤ/8)—416no—
671AGL(1,ℤ/8)—416no—
672AGL(1,ℤ/8)—416no—
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×Q16C2×D414yescomplemented
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—41no—
706C2×SD16—41no—
707C2×SD16—41no—
708C2×SD16—41no—
709C2×SD16—41no—
710C2×SD16—41no—
711C2×SD16—41no—
712C2×SD16—41no—
713C2×SD16—41no—
714C2×SD16—41no—
715C2×SD16—41no—
716C2×SD16—41no—
717C2×SD16—41no—
718C2×SD16—41no—
719C2×SD16C2×D414yes—
720C2×SD16C2×D414yescomplemented
721C2×D8—22no—
722C2×D8—22no—
723C2×D8—22no—
724C2×D8—22no—
725C2×D8—22no—
726C2×D8—22no—
727C2×D8—22no—
728C2×D8—22no—
729C2×D8—22no—
730C2×D8—22no—
731C2×D8—22no—
732C2×D8—22no—
733C2×D8—22no—
734C2×D8—22no—
735C2×D8—22no—
736C2×D8—41no—
737C2×D8—41no—
738C2×D8—41no—
739C2×D8—41no—
740C2×D8—41no—
741C2×D8—41no—
742C2×D8—41no—
743C2×D8—41no—
744C2×D8—41no—
745C2×D8—41no—
746C2×D8C2×D414yes—
747C2×D8C2×D414yes—
748C2×M16—22no—
749C2×M16—22no—
750C2×M16—22no—
751C2×M16—22no—
752C2×M16—22no—
753C2×M16—22no—
754C2×M16—22no—
755C2×M16—22no—
756C2×M16—22no—
757C2×M16—22no—
758C2×M16—22no—
759C2×M16C2×D414yes—
760C22×C8C2411yescharacteristic
761C22×C8C2411yescharacteristic
762C22×C8C2411yescharacteristic
763C22×C8C2411yescharacteristic
764C22×C8C2411yescharacteristic
765C22×C8C2411yescharacteristic
766C22×C8C2411yescharacteristic
767C22×C8C2411yescharacteristic
768C4⋊Q8—22no—
769C4⋊Q8—41no—
770#127—22no—
771#127—22no—
772#127—22no—
773#127—41no—
774#127—41no—
775#127—41no—
776#127—44no—
777#124—22no—
778#124—22no—
779#124—22no—
780#124—22no—
781#124—22no—
782#124—22no—
783#124—22no—
784#124—22no—
785#124—22no—
786#124—22no—
787#124—44no—
788#124—44no—
789#124—41no—
790#124—41no—
791#124—41no—
792#124—41no—
793#124—44no—
794#124C2×D414yes—
795#124C2×D414yescomplemented
796#123—44no—
797#123—44no—
798#123—44no—
799C22⋊Q8—22no—
800C22⋊Q8—22no—
801C22⋊Q8—22no—
802C22⋊Q8—22no—
803C22⋊Q8—44no—
804C22⋊Q8—41no—
805C22⋊Q8—41no—
806C22⋊Q8—41no—
807C22⋊Q8—41no—
808C22⋊Q8—41no—
809C22⋊Q8—41no—
810C22⋊Q8—41no—
811C22⋊Q8—41no—
812#121—22no—
813#121—22no—
814#121—22no—
815#121—22no—
816#121—22no—
817#121—22no—
818#121—44no—
819#121—44no—
820#121—44no—
821#121—42no—
822#121—44no—
823#121—44no—
824#121—44no—
825#121—44no—
826#121—44no—
827#121—41no—
828#121—41no—
829#121—41no—
830#121—41no—
831#121—44no—
832#121—41no—
833#121—41no—
834#121—41no—
835#121—41no—
836#121—82no—
837#121C2×D414yes—
838#121C2×D414yes—
839#120—44no—
840#120—44no—
841#120—44no—
842#120—44no—
843#120—44no—
844#120—44no—
845#120—82no—
846#120—82no—
847C4×Q8—22no—
848C4×Q8—22no—
849C4×Q8—41no—
850C4×Q8—41no—
851C4×D4—22no—
852C4×D4—22no—
853C4×D4—22no—
854C4×D4—22no—
855C4×D4—22no—
856C4×D4—22no—
857C4×D4—22no—
858C4×D4—22no—
859C4×D4—22no—
860C4×D4—22no—
861C4×D4—22no—
862C4×D4—22no—
863C4×D4—44no—
864C4×D4—44no—
865C4×D4—41no—
866C4×D4—41no—
867C4×D4—44no—
868C4×D4—44no—
869C4×D4—82no—
870C4×D4—82no—
871C2×C4⋊C4—21no—
872C2×C4⋊C4—21no—
873C2×C4⋊C4—21no—
874C2×C4⋊C4—21no—
875C2×C4⋊C4—21no—
876C2×C4⋊C4—21no—
877C2×C4⋊C4—21no—
878C2×C4⋊C4—21no—
879C2×C4⋊C4—21no—
880C2×C4⋊C4—21no—
881C2×C4⋊C4—21no—
882C2×C4⋊C4—21no—
883C2×C4⋊C4C2×D411yescharacteristic
884C2×C4⋊C4C2×D411yescharacteristic
885C2×C4⋊C4C2×D411yescharacteristic
886C2×C4⋊C4C2×D411yescharacteristic
887C2×C4⋊C4C2×D411yescharacteristic
888C2×C4⋊C4C2411yescharacteristic
889C2×C4⋊C4C2411yescharacteristic
890C2×C4⋊C4C2411yescharacteristic
891C2×C4⋊C4C2411yescharacteristic
892C2×C4⋊C4C2411yescharacteristic
893C2×C4⋊C4C2411yescharacteristic
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—21no—
906C2×C22⋊C4—21no—
907C2×C22⋊C4—21no—
908C2×C22⋊C4—21no—
909C2×C22⋊C4—21no—
910C2×C22⋊C4—21no—
911C2×C22⋊C4—21no—
912C2×C22⋊C4—21no—
913C2×C22⋊C4—21no—
914C2×C22⋊C4—21no—
915C2×C22⋊C4—21no—
916C2×C22⋊C4—21no—
917C2×C22⋊C4—21no—
918C2×C22⋊C4—21no—
919C2×C22⋊C4—21no—
920C2×C22⋊C4—21no—
921C2×C22⋊C4—21no—
922C2×C22⋊C4—21no—
923C2×C22⋊C4—21no—
924C2×C22⋊C4—21no—
925C2×C22⋊C4—21no—
926C2×C22⋊C4—21no—
927C2×C22⋊C4—21no—
928C2×C22⋊C4—21no—
929C2×C22⋊C4—21no—
930C2×C22⋊C4—21no—
931C2×C22⋊C4—21no—
932C2×C22⋊C4—21no—
933C2×C22⋊C4—21no—
934C2×C22⋊C4—21no—
935C2×C22⋊C4—21no—
936C2×C22⋊C4—21no—
937C2×C22⋊C4—21no—
938C2×C22⋊C4—21no—
939C2×C22⋊C4—21no—
940C2×C22⋊C4—21no—
941C2×C22⋊C4—21no—
942C2×C22⋊C4—44no—
943C2×C22⋊C4—44no—
944C2×C22⋊C4—44no—
945C2×C22⋊C4—44no—
946C2×C22⋊C4—44no—
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×C42—22no—
958C2×C42—22no—
959C2×C42—21no—
960C2×C42—21no—
961C2×C42—21no—
962C2×C42—21no—
963C2×C42C2×D411yescharacteristic
964C2×C42C2×D411yescharacteristic
965C2×C42C2411yescharacteristic
966C2×C42C2411yescharacteristic
967C2×C42C2411yescharacteristic
968C2×C42C2411yescharacteristic
969#107—22no—
970#106—22no—
971#106C2×D414yes—
972C4⋊C8—22no—
973C4⋊C8—22no—
974C4⋊C8—22no—
975C4⋊C8—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#102—22no—
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—22no—
998#102—41no—
999#102—41no—
1000#102—41no—
1001#102—41no—
1002#102—41no—
1003#102—41no—
1004#102C2×D414yes—
1005#102C2×D414yes—
1006C22⋊C8—22no—
1007C22⋊C8—22no—
1008C22⋊C8—22no—
1009C22⋊C8—22no—
1010C22⋊C8—22no—
1011C22⋊C8—22no—
1012C22⋊C8—22no—
1013C22⋊C8—22no—
1014#97—22no—
1015#97—22no—
1016C4×C8—22no—
1017C4×C8—22no—
1018C4×C8—22no—
1019C4×C8C2×D414yescomplemented
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—21no—
1046C24—42no—
1047C24—42no—
1048C24—42no—
1049C24—42no—
1050C24—42no—
1051C24—42no—
1052C24—42no—
1053C24—42no—
1054C24—42no—
1055C24—42no—
1056C24—81no—
1057C24—81no—
1058C24—81no—
1059C24—81no—
1060C24—81no—
1061C24—81no—
1062C24—81no—
1063C24—81no—
1064C24—81no—
1065C24—81no—
1066C24—81no—
1067C24C22×D411yescharacteristic
1068C24C22×D411yescharacteristic
1069C24C22×D411yescharacteristic
1070#41—44no—
1071#41—44no—
1072#41—44no—
1073#41—44no—
1074#41—44no—
1075#41—44no—
1076#41—82no—
1077#41—82no—
1078#41—82no—
1079#41—82no—
1080#41—82no—
1081#41—82no—
1082#41—82no—
1083#41—82no—
1084#41—82no—
1085#41—82no—
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—21no—
1108C2×Q8—42no—
1109C2×Q8—44no—
1110C2×Q8—44no—
1111C2×Q8—42no—
1112C2×Q8—81no—
1113C2×Q8—82no—
1114C2×Q8—82no—
1115C2×Q8C22×D412yes—
1116C2×Q8C22×D412yes—
1117C2×D4—22no—
1118C2×D4—24no—
1119C2×D4—22no—
1120C2×D4—24no—
1121C2×D4—22no—
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—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—41no—
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—42no—
1176C2×D4—42no—
1177C2×D4—42no—
1178C2×D4—42no—
1179C2×D4—42no—
1180C2×D4—44no—
1181C2×D4—44no—
1182C2×D4—42no—
1183C2×D4—42no—
1184C2×D4—42no—
1185C2×D4—42no—
1186C2×D4—42no—
1187C2×D4—42no—
1188C2×D4—42no—
1189C2×D4—42no—
1190C2×D4—42no—
1191C2×D4—42no—
1192C2×D4—42no—
1193C2×D4—42no—
1194C2×D4—42no—
1195C2×D4—42no—
1196C2×D4—82no—
1197C2×D4—82no—
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—82no—
1213C2×D4—82no—
1214C2×D4—82no—
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—81no—
1230C2×D4—81no—
1231C2×D4—81no—
1232C2×D4—81no—
1233C2×D4—816no—
1234C2×D4C22×D412yes—
1235C2×D4C22×D412yes—
1236C2×D4C22×D412yes—
1237C2×D4C22×D412yes—
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—22no—
1259C22×C4—22no—
1260C22×C4—21no—
1261C22×C4—21no—
1262C22×C4—21no—
1263C22×C4—21no—
1264C22×C4—21no—
1265C22×C4—21no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—41no—
1269C22×C4—41no—
1270C22×C4—42no—
1271C22×C4—42no—
1272C22×C4—42no—
1273C22×C4—42no—
1274C22×C4—42no—
1275C22×C4—42no—
1276C22×C4—42no—
1277C22×C4—42no—
1278C22×C4—42no—
1279C22×C4—42no—
1280C22×C4—42no—
1281C22×C4—42no—
1282C22×C4—42no—
1283C22×C4—42no—
1284C22×C4—42no—
1285C22×C4—81no—
1286C22×C4—81no—
1287C22×C4—81no—
1288C22×C4—81no—
1289C22×C4—81no—
1290C22×C4—81no—
1291C22×C4—81no—
1292C22×C4—81no—
1293C22×C4—81no—
1294C22×C4—81no—
1295C22×C4—81no—
1296C22×C4—81no—
1297C22×C4C22×D411yescharacteristic
1298C22×C4C22×D411yescharacteristic
1299C22×C4C22×D411yescharacteristic
1300C22×C4C22×D411yescharacteristic
1301C22×C4C22×D411yescharacteristic
1302C22×C4C22×D411yescharacteristic
1303C22×C4C22×D411yescharacteristic
1304C22×C4C22×D411yescharacteristic
1305C22×C4C22×D411yescharacteristic
1306C22×C4C22×D411yescharacteristic
1307C22×C4C22×D412yes—
1308C22×C4C22×D411yescharacteristic
1309C22×C4H(5,𝔽2)12yes—
1310C22×C4C2511yescharacteristic
1311Q16—44no—
1312Q16—44no—
1313Q16—44no—
1314Q16—44no—
1315SD16—28no—
1316SD16—28no—
1317SD16—44no—
1318SD16—44no—
1319SD16—44no—
1320SD16—44no—
1321SD16—44no—
1322SD16—44no—
1323SD16—44no—
1324SD16—44no—
1325SD16—82no—
1326SD16—82no—
1327D8—28no—
1328D8—44no—
1329D8—44no—
1330D8—44no—
1331D8—44no—
1332D8—44no—
1333D8—44no—
1334D8—82no—
1335D8—82no—
1336M16—28no—
1337M16—28no—
1338M16—44no—
1339M16—44no—
1340C2×C8—21no—
1341C2×C8—21no—
1342C2×C8—21no—
1343C2×C8—21no—
1344C2×C8—21no—
1345C2×C8—21no—
1346C2×C8—21no—
1347C2×C8—21no—
1348C2×C8—21no—
1349C2×C8—21no—
1350C2×C8—21no—
1351C2×C8—21no—
1352C2×C8—21no—
1353C2×C8—21no—
1354C2×C8—21no—
1355C2×C8—21no—
1356C2×C8—21no—
1357C2×C8—21no—
1358C2×C8C22×D412yes—
1359C2×C8C22×D412yes—
1360C2×C8C22×D412yes—
1361C2×C8C22×D412yes—
1362C2×C8H(5,𝔽2)12yes—
1363C2×C8H(5,𝔽2)12yes—
1364C4⋊C4—22no—
1365C4⋊C4—22no—
1366C4⋊C4—22no—
1367C4⋊C4—22no—
1368C4⋊C4—21no—
1369C4⋊C4—21no—
1370C4⋊C4—21no—
1371C4⋊C4—21no—
1372C4⋊C4—21no—
1373C4⋊C4—21no—
1374C4⋊C4—21no—
1375C4⋊C4—21no—
1376C4⋊C4—21no—
1377C4⋊C4—21no—
1378C4⋊C4—41no—
1379C4⋊C4—42no—
1380C4⋊C4—42no—
1381C4⋊C4—42no—
1382C4⋊C4—42no—
1383C4⋊C4—42no—
1384C4⋊C4—42no—
1385C4⋊C4—42no—
1386C4⋊C4—42no—
1387C4⋊C4—42no—
1388C4⋊C4—81no—
1389C4⋊C4—81no—
1390C4⋊C4—81no—
1391C4⋊C4C22×D412yes—
1392C4⋊C4C22×D412yes—
1393C22⋊C4—22no—
1394C22⋊C4—22no—
1395C22⋊C4—24no—
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—41no—
1407C22⋊C4—41no—
1408C22⋊C4—41no—
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—42no—
1422C22⋊C4—42no—
1423C22⋊C4—42no—
1424C22⋊C4—42no—
1425C22⋊C4—42no—
1426C22⋊C4—42no—
1427C22⋊C4—42no—
1428C22⋊C4—42no—
1429C22⋊C4—42no—
1430C22⋊C4—42no—
1431C22⋊C4—42no—
1432C22⋊C4—42no—
1433C22⋊C4—42no—
1434C22⋊C4—42no—
1435C22⋊C4—42no—
1436C22⋊C4—42no—
1437C22⋊C4—81no—
1438C22⋊C4—81no—
1439C22⋊C4—81no—
1440C22⋊C4—81no—
1441C22⋊C4—81no—
1442C22⋊C4—81no—
1443C22⋊C4—81no—
1444C22⋊C4—81no—
1445C22⋊C4—81no—
1446C22⋊C4—81no—
1447C22⋊C4—81no—
1448C22⋊C4—81no—
1449C22⋊C4—81no—
1450C22⋊C4—81no—
1451C42—22no—
1452C42—22no—
1453C42—21no—
1454C42—21no—
1455C42—21no—
1456C42—21no—
1457C42—21no—
1458C42—21no—
1459C42—42no—
1460C42—42no—
1461C42—81no—
1462C42—81no—
1463C42C22×D412yes—
1464C42H(5,𝔽2)12yes—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—22no—
1478C23—22no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—22no—
1483C23—22no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
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—41no—
1511C23—41no—
1512C23—41no—
1513C23—41no—
1514C23—41no—
1515C23—41no—
1516C23—41no—
1517C23—41no—
1518C23—41no—
1519C23—41no—
1520C23—41no—
1521C23—41no—
1522C23—41no—
1523C23—41no—
1524C23—41no—
1525C23—41no—
1526C23—41no—
1527C23—84no—
1528C23—84no—
1529C23—84no—
1530C23—84no—
1531C23—84no—
1532C23—84no—
1533C23—84no—
1534C23—84no—
1535C23—84no—
1536C23—84no—
1537C23—162no—
1538C23—162no—
1539C23—162no—
1540C23—162no—
1541C23—162no—
1542C23—162no—
1543C23—162no—
1544C23—162no—
1545C23—162no—
1546C23—162no—
1547C23—162no—
1548C23D4212yes—
1549C23C23×D411yescharacteristic
1550Q8—22no—
1551Q8—22no—
1552Q8—22no—
1553Q8—22no—
1554Q8—41no—
1555Q8—41no—
1556Q8—41no—
1557Q8—41no—
1558Q8—41no—
1559Q8—41no—
1560Q8—41no—
1561Q8—41no—
1562Q8—41no—
1563Q8—41no—
1564Q8—41no—
1565Q8—41no—
1566Q8—84no—
1567D4—22no—
1568D4—22no—
1569D4—22no—
1570D4—22no—
1571D4—22no—
1572D4—22no—
1573D4—22no—
1574D4—22no—
1575D4—44no—
1576D4—48no—
1577D4—41no—
1578D4—41no—
1579D4—41no—
1580D4—41no—
1581D4—41no—
1582D4—41no—
1583D4—41no—
1584D4—41no—
1585D4—41no—
1586D4—41no—
1587D4—41no—
1588D4—41no—
1589D4—41no—
1590D4—41no—
1591D4—41no—
1592D4—41no—
1593D4—82no—
1594D4—84no—
1595D4—84no—
1596D4—84no—
1597D4—82no—
1598D4—84no—
1599D4—84no—
1600D4—84no—
1601D4—84no—
1602D4—84no—
1603D4—84no—
1604D4—84no—
1605D4—84no—
1606D4—84no—
1607D4—84no—
1608D4—162no—
1609D4—162no—
1610D4—162no—
1611D4—162no—
1612D4—162no—
1613D4—162no—
1614D4—162no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—22no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—41no—
1653C2×C4—41no—
1654C2×C4—41no—
1655C2×C4—41no—
1656C2×C4—41no—
1657C2×C4—41no—
1658C2×C4—41no—
1659C2×C4—41no—
1660C2×C4—41no—
1661C2×C4—41no—
1662C2×C4—41no—
1663C2×C4—41no—
1664C2×C4—41no—
1665C2×C4—41no—
1666C2×C4—41no—
1667C2×C4—41no—
1668C2×C4—41no—
1669C2×C4—41no—
1670C2×C4—41no—
1671C2×C4—41no—
1672C2×C4—41no—
1673C2×C4—41no—
1674C2×C4—41no—
1675C2×C4—41no—
1676C2×C4—41no—
1677C2×C4—41no—
1678C2×C4—41no—
1679C2×C4—41no—
1680C2×C4—41no—
1681C2×C4—41no—
1682C2×C4—41no—
1683C2×C4—41no—
1684C2×C4—41no—
1685C2×C4—41no—
1686C2×C4—82no—
1687C2×C4—82no—
1688C2×C4—84no—
1689C2×C4—84no—
1690C2×C4—84no—
1691C2×C4—84no—
1692C2×C4—84no—
1693C2×C4—84no—
1694C2×C4—162no—
1695C2×C4—162no—
1696C2×C4—162no—
1697C2×C4D4212yes—
1698C2×C4D4212yes—
1699C2×C4D4212yes—
1700C2×C4#57512yes—
1701C2×C4C23×D411yescharacteristic
1702C2×C4C23×D411yescharacteristic
1703C2×C4C2×H(5,𝔽2)11yescharacteristic
1704C2×C4C2×H(5,𝔽2)11yescharacteristic
1705C2×C4C2×H(5,𝔽2)11yescharacteristic
1706C2×C4C2×H(5,𝔽2)11yescharacteristic
1707C8—22no—
1708C8—22no—
1709C8—22no—
1710C8—41no—
1711C8—41no—
1712C8—41no—
1713C8—41no—
1714C8D4214yes—
1715C22—22no—
1716C22—22no—
1717C22—22no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—42no—
1727C22—42no—
1728C22—42no—
1729C22—41no—
1730C22—41no—
1731C22—42no—
1732C22—41no—
1733C22—42no—
1734C22—41no—
1735C22—42no—
1736C22—42no—
1737C22—41no—
1738C22—42no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—42no—
1743C22—42no—
1744C22—42no—
1745C22—42no—
1746C22—41no—
1747C22—41no—
1748C22—81no—
1749C22—81no—
1750C22—81no—
1751C22—81no—
1752C22—81no—
1753C22—81no—
1754C22—81no—
1755C22—81no—
1756C22—81no—
1757C22—81no—
1758C22—81no—
1759C22—81no—
1760C22—81no—
1761C22—81no—
1762C22—81no—
1763C22—81no—
1764C22—81no—
1765C22—81no—
1766C22—81no—
1767C22—81no—
1768C22—81no—
1769C22—81no—
1770C22—81no—
1771C22—81no—
1772C22—81no—
1773C22—81no—
1774C22—81no—
1775C22—81no—
1776C22—81no—
1777C22—81no—
1778C22—168no—
1779C22—168no—
1780C22—168no—
1781C22C2×D4211yescharacteristic
1782C22C2×D4211yescharacteristic
1783C22#349811yescharacteristic
1784C22C2×#57511yescharacteristic
1785C22#358411yescharacteristic
1786C22#358511yescharacteristic
1787C22#358511yescharacteristic
1788C4—22no—
1789C4—22no—
1790C4—22no—
1791C4—22no—
1792C4—41no—
1793C4—41no—
1794C4—41no—
1795C4—42no—
1796C4—41no—
1797C4—41no—
1798C4—42no—
1799C4—41no—
1800C4—41no—
1801C4—42no—
1802C4—42no—
1803C4—81no—
1804C4—81no—
1805C4—81no—
1806C4—81no—
1807C4—81no—
1808C4—81no—
1809C4C2×D4211yescharacteristic
1810C4#348411yescharacteristic
1811C4#349811yescharacteristic
1812C4#354311yescharacteristic
1813C2—42no—
1814C2—81no—
1815C2—81no—
1816C2—82no—
1817C2—82no—
1818C2—82no—
1819C2—82no—
1820C2—161no—
1821C2—161no—
1822C2#5912611yescharacteristic
1823C2#6103811yescharacteristic
1824C2#6106311yescharacteristic
1825C2#6106611yescharacteristic
1826C2#6109211yescharacteristic
1827C2#6245511yescharacteristic
1828C2#6246811yescharacteristic
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×#3275C2semidirect
2. C2×#3274C2semidirect
3. C2×#3273C2semidirect
4. C2×#3153C2semidirect
5. #59131C2semidirect
6. #59129C2semidirect
7. #30474C2semidirect
8. #30468C2semidirect
9. #30466C2semidirect
10. #30460C2semidirect
11. #28487C2semidirect
12. #28465C2semidirect
13. #25796C2semidirect
14. #25794C2semidirect
15. #25762C2semidirect
16. #25762C2semidirect
17. #25417C2semidirect
18. #25416C2semidirect
19. #25373C2semidirect
20. #25372C2semidirect
21. #24277C2semidirect
22. #24276C2semidirect
23. #24215C2semidirect
24. #24214C2semidirect
25. #23871C2semidirect
26. #23870C2semidirect
27. #23861C2semidirect
28. #23860C2semidirect
29. #23183C2semidirect
30. C4×#469C2semidirect
31. #21488C2semidirect
32. C22×#137C22semidirect
33. C22×#137C22semidirect
36. C22×AGL(1,ℤ/8)C22semidirect
37. C22×AGL(1,ℤ/8)C22semidirect
41. C2×#546C22semidirect
42. C2×#546C22semidirect
43. C2×D42C22semidirect
44. C2×#532C22semidirect
45. C22×#124C22semidirect
50. C2×#497C22semidirect
51. C2×#497C22semidirect
53. C2×#496C22semidirect
55. C2×#495C22semidirect
56. C2×#495C22semidirect
57. C2×#495C22semidirect
58. C2×#495C22semidirect
60. C2×#470C22semidirect
61. C2×#470C22semidirect
63. C2×#469C22semidirect
64. C2×#469C22semidirect
66. C2×#468C22semidirect
67. C2×#464C22semidirect
68. C2×#460C22semidirect
70. C2×#463C22semidirect
71. C2×#463C22semidirect
72. C2×#463C22semidirect
73. C2×#463C22semidirect
75. C2×#452C22semidirect
76. C2×#452C22semidirect
77. C2×#452C22semidirect
78. C2×#452C22semidirect
81. C2×#449C22semidirect
82. C2×#449C22semidirect
83. C2×#448C22semidirect
84. C2×#450C22semidirect
85. C2×#450C22semidirect
89. C2×#447C22semidirect
90. C2×#447C22semidirect
91. C2×C4×SD16C22semidirect
92. C2×C4×SD16C22semidirect
93. C2×C4×D8C22semidirect
94. C2×#436C22semidirect
95. C2×#436C22semidirect
96. C2×#436C22semidirect
97. C2×C4×M16C22semidirect
103. #2544C22semidirect
104. #2544C22semidirect
106. #2540C22semidirect
110. #2435C22semidirect
111. #2433C22semidirect
112. #2432C22semidirect
114. #2429C22semidirect
116. #2428C22semidirect
118. #2426C22semidirect
124. #2409C22semidirect
127. #2407C22semidirect
128. #2367C22semidirect
129. #2367C22semidirect
133. C4×#121C22semidirect
134. C4×#121C22semidirect
135. #2056C22semidirect
136. #2055C22semidirect
137. #2055C22semidirect
138. #2054C22semidirect
139. #2043C22semidirect
140. #2042C22semidirect
141. #2042C22semidirect
142. #2041C22semidirect
143. #2015C22semidirect
144. #2014C22semidirect
145. #2014C22semidirect
146. #2014C22semidirect
147. #2013C22semidirect
150. #2012C22semidirect
151. #2012C22semidirect
152. #2012C22semidirect
154. #2011C22semidirect
155. #2001C22semidirect
156. #2001C22semidirect
158. #2000C22semidirect
159. #2000C22semidirect
160. #2000C22semidirect
161. #2000C22semidirect
162. #2000C22semidirect
163. #2000C22semidirect
164. #2000C22semidirect
167. #1983C22semidirect
168. #1983C22semidirect
169. #1983C22semidirect
170. #1983C22semidirect
171. #1972C22semidirect
172. #1970C22semidirect
173. #1969C22semidirect
174. #1968C22semidirect
175. #1968C22semidirect
176. #1954C22semidirect
177. #1944C22semidirect
178. #1939C22semidirect
179. #1936C22semidirect
180. #1936C22semidirect
181. #1924C22semidirect
182. #1924C22semidirect
183. #1895C22semidirect
184. #1895C22semidirect
185. #1880C22semidirect
188. #1879C22semidirect
189. #1878C22semidirect
190. #1878C22semidirect
191. #1878C22semidirect
192. #1877C22semidirect
193. #1870C22semidirect
194. #1870C22semidirect
195. #1809C22semidirect
196. #1797C22semidirect
197. #1788C22semidirect
198. #1788C22semidirect
199. #1787C22semidirect
200. #1786C22semidirect
201. C4×#106C22semidirect
202. C8×C4⋊C4C22semidirect
203. C4×#102C22semidirect
204. C4×#102C22semidirect
205. #1753C22semidirect
206. #1753C22semidirect
361. #495D4semidirect
367. #469D4semidirect
684. C2×Q16C2×D4semidirect
720. C2×SD16C2×D4semidirect
795. #124C2×D4semidirect
1019. C4×C8C2×D4semidirect

Maximal subgroups

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

subgroupindex
C2×#32752
C2×#32742
C2×#32732
C2×#31532
#591312
#591292
#304742
#304682
#304662
#304602
#284872
#284652
#257962
#257942
#257622
#254172
#254162
#253732
#253722
#242772
#242762
#242152
#242142
#238712
#238702
#238612
#238602
#231832
C4×#4692
#214882