Finite Group Databasebeta

← #7519275

Subgroups — #7519275

Order 512.

2932 conjugacy classes of subgroups.

The subgroup lattice has 1772 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D4×SD16C211yesmaximal, characteristic, complemented
2C2×D4×SD16C211yesmaximal, characteristic, complemented
3C2×#3265C211yesmaximal, characteristic, complemented
4C2×#3042C211yesmaximal, characteristic, complemented
5#45248C211yesmaximal, characteristic, complemented
6#35691C211yesmaximal, characteristic, complemented
7#30851C211yesmaximal, characteristic, complemented
8#30848C211yesmaximal, characteristic, complemented
9#30461C211yesmaximal, characteristic, complemented
10#30453C211yesmaximal, characteristic, complemented
11#28480C211yesmaximal, characteristic, complemented
12#25763C211yesmaximal, characteristic, complemented
13#25733C211yesmaximal, characteristic, complemented
14#25388C211yesmaximal, characteristic, complemented
15#25366C211yesmaximal, characteristic, complemented
16#25176C211yesmaximal, characteristic, complemented
17#25152C211yesmaximal, characteristic, complemented
18#25122C211yesmaximal, characteristic, complemented
19#25115C211yesmaximal, characteristic, complemented
20#24768C211yesmaximal, characteristic, complemented
21#24737C211yesmaximal, characteristic, complemented
22#24445C211yesmaximal, characteristic, complemented
23#24425C211yesmaximal, characteristic, complemented
24#24359C211yesmaximal, characteristic, complemented
25#24358C211yesmaximal, characteristic, complemented
26#24251C211yesmaximal, characteristic, complemented
27#23860C211yesmaximal, characteristic, complemented
28#23849C211yesmaximal, characteristic, complemented
29#23012C211yesmaximal, characteristic, complemented
30#22991C211yesmaximal, characteristic, complemented
31#21459C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic
33C23×SD16C2211yescharacteristic
34C23×SD16C2211yescharacteristic
35C23×SD16C2211yescharacteristic
36C2×D4×Q8C2211yescharacteristic, complemented
37C2×D4×Q8C2211yescharacteristic, complemented
38C2×#548C2211yescharacteristic, complemented
39C2×D42C2211yescharacteristic
40C2×D42C2211yescharacteristic
41C2×D42C2211yescharacteristic
42C2×#536C2211yescharacteristic, complemented
43C2×#518C2211yescharacteristic
44D4×SD16—28no—
45D4×SD16—28no—
46#3265—28no—
47C2×#496C2211yescharacteristic, complemented
48C2×#496C2211yescharacteristic, complemented
49C2×#492C2211yescharacteristic, complemented
50C2×#492C2211yescharacteristic, complemented
51C2×#468C2211yescharacteristic, complemented
52C2×#466C2211yescharacteristic, complemented
53C2×#465C2211yescharacteristic, complemented
54C2×#465C2211yescharacteristic, complemented
55C2×#465C2211yescharacteristic, complemented
56C2×#465C2211yescharacteristic, complemented
57#3042—28no—
58C2×#460C2211yescharacteristic, complemented
59C2×#460C2211yescharacteristic, complemented
60C2×#460C2211yescharacteristic, complemented
61C2×#463C2211yescharacteristic
62C2×#463C2211yescharacteristic
63C2×#463C2211yescharacteristic
64C2×#463C2211yescharacteristic, complemented
65C2×#463C2211yescharacteristic, complemented
66C2×#461C2211yescharacteristic
67C2×#461C2211yescharacteristic
68C2×#461C2211yescharacteristic
69C2×#461C2211yescharacteristic, complemented
70C2×#461C2211yescharacteristic, complemented
71C2×#449C2211yescharacteristic, complemented
72C2×#449C2211yescharacteristic, complemented
73C2×#448C2211yescharacteristic, complemented
74C2×#448C2211yescharacteristic, complemented
75C2×#448C2211yescharacteristic, complemented
76C2×#448C2211yescharacteristic, complemented
77C2×#448C2211yescharacteristic, complemented
78C2×#448C2211yescharacteristic, complemented
79C2×#450C2211yescharacteristic
80C2×#450C2211yescharacteristic
81C2×#450C2211yescharacteristic
82C2×#450C2211yescharacteristic
83C2×#450C2211yescharacteristic
84C2×#447C2211yescharacteristic
85C2×#447C2211yescharacteristic
86C2×#440C2211yescharacteristic
87C2×#440C2211yescharacteristic, complemented
88C2×C4×SD16C2211yescharacteristic
89C2×C4×SD16C2211yescharacteristic
90C2×#435C2211yescharacteristic, complemented
91C2×C8×D4C2211yescharacteristic, complemented
92C2×C8×D4C2211yescharacteristic, complemented
93C2×#424C2211yescharacteristic, complemented
94C2×#419C2211yescharacteristic, complemented
95C2×#416C2211yescharacteristic, complemented
96#2683—21no—
97#2681—21no—
98#2677—21no—
99#2674—21no—
100#2619C2211yescharacteristic
101#2617—21no—
102#2545C2211yescharacteristic, complemented
103#2543—21no—
104#2541C2211yescharacteristic
105#2540C2211yescharacteristic, complemented
106#2535C2211yescharacteristic
107#2463—21no—
108#2461—21no—
109#2456—21no—
110#2452—21no—
111#2436C2211yescharacteristic, complemented
112#2434C2211yescharacteristic, complemented
113#2429C2211yescharacteristic, complemented
114#2428C2211yescharacteristic
115#2428C2211yescharacteristic
116#2426C2211yescharacteristic, complemented
117#2424—21no—
118#2424—21no—
119#2414C2211yescharacteristic
120#2414C2211yescharacteristic
121#2410—21no—
122#2410—21no—
123#2409C2211yescharacteristic, complemented
124#2408—21no—
125#2407C2211yescharacteristic, complemented
126#2392C2211yescharacteristic
127C2×#392—21no—
128#2365C2211yescharacteristic, complemented
129#2349C2211yescharacteristic
130D4×C22⋊C4C2211yescharacteristic
131D4×C22⋊C4C2211yescharacteristic
132#2323C2211yescharacteristic, complemented
133#2067C2211yescharacteristic, complemented
134#2066C2211yescharacteristic, complemented
135#2065C2211yescharacteristic, complemented
136#2065C2211yescharacteristic, complemented
137#2055C2211yescharacteristic, complemented
138#2055C2211yescharacteristic, complemented
139#2055C2211yescharacteristic, complemented
140#2055C2211yescharacteristic, complemented
141#2043C2211yescharacteristic, complemented
142#2042C2211yescharacteristic, complemented
143#2036C2211yescharacteristic, complemented
144#2036C2211yescharacteristic, complemented
145#2036C2211yescharacteristic, complemented
146#2034C2211yescharacteristic, complemented
147#2014C2211yescharacteristic, complemented
148#2014C2211yescharacteristic, complemented
149#2014C2211yescharacteristic, complemented
150#2013C2211yescharacteristic, complemented
151#2013C2211yescharacteristic, complemented
152#2013C2211yescharacteristic, complemented
153#2012C2211yescharacteristic, complemented
154#2012C2211yescharacteristic, complemented
155#2012C2211yescharacteristic, complemented
156#2011C2211yescharacteristic, complemented
157#2000C2211yescharacteristic, complemented
158#2000C2211yescharacteristic, complemented
159#2000C2211yescharacteristic, complemented
160#2000C2211yescharacteristic, complemented
161#2000C2211yescharacteristic, complemented
162#1999C2211yescharacteristic, complemented
163#1999C2211yescharacteristic, complemented
164#1999C2211yescharacteristic, complemented
165#1982C2211yescharacteristic, complemented
166#1973C2211yescharacteristic, complemented
167#1970C2211yescharacteristic, complemented
168#1960C2211yescharacteristic, complemented
169#1958C2211yescharacteristic, complemented
170#1955C2211yescharacteristic, complemented
171#1949C2211yescharacteristic, complemented
172#1939C2211yescharacteristic, complemented
173#1935C2211yescharacteristic, complemented
174#1933C2211yescharacteristic, complemented
175#1924C2211yescharacteristic, complemented
176#1923C2211yescharacteristic, complemented
177#1895C2211yescharacteristic, complemented
178#1893C2211yescharacteristic, complemented
179#1893C2211yescharacteristic, complemented
180#1892C2211yescharacteristic, complemented
181#1880C2211yescharacteristic, complemented
182#1880C2211yescharacteristic, complemented
183#1879C2211yescharacteristic
184#1877C2211yescharacteristic
185#1877C2211yescharacteristic
186#1877C2211yescharacteristic
187#1877C2211yescharacteristic
188#1877C2211yescharacteristic, complemented
189#1873C2211yescharacteristic, complemented
190#1870C2211yescharacteristic, complemented
191#1869C2211yescharacteristic, complemented
192#1865C2211yescharacteristic, complemented
193#1864C2211yescharacteristic, complemented
194#1863C2211yescharacteristic, complemented
195#1862C2211yescharacteristic
196#1854C2211yescharacteristic, complemented
197#1850C2211yescharacteristic, complemented
198#1850C2211yescharacteristic, complemented
199#1805C2211yescharacteristic, complemented
200#1787C2211yescharacteristic, complemented
201#1787C2211yescharacteristic, complemented
202#1786C2211yescharacteristic
203#1771C2211yescharacteristic, complemented
204#1762C2211yescharacteristic
205C4×#102C2211yescharacteristic, complemented
206#1750C2211yescharacteristic, complemented
207C22×#41C2311yescharacteristic
208C23×Q8C2311yescharacteristic
209C23×Q8C2311yescharacteristic
210C23×Q8C2311yescharacteristic
211C23×D4—21no—
212C23×D4—21no—
213C23×D4—21no—
214C23×D4C2311yescharacteristic
215C23×D4C2311yescharacteristic
216C23×D4C2311yescharacteristic
217C2×AGL(1,ℤ/8)—24no—
218C2×AGL(1,ℤ/8)—24no—
219C2×AGL(1,ℤ/8)—42no—
220C22×SD16—24no—
221C22×SD16—24no—
222C22×SD16—24no—
223C22×SD16—24no—
224C22×SD16—24no—
225C22×SD16—24no—
226C22×SD16—42no—
227C22×SD16—42no—
228C22×SD16—42no—
229C22×SD16C2311yescharacteristic
230C22×SD16C2311yescharacteristic
231C22×SD16C2311yescharacteristic
232C22×SD16C2311yescharacteristic
233C22×SD16C2311yescharacteristic
234C22×SD16C2311yescharacteristic
235C22×SD16C2311yescharacteristic
236C22×SD16C2311yescharacteristic
237C22×SD16C2311yescharacteristic
238C22×SD16C2311yescharacteristic
239C22×SD16C2311yescharacteristic
240C22×SD16C2311yescharacteristic
241C22×SD16C2311yescharacteristic
242C22×SD16C2311yescharacteristic
243C22×SD16C2311yescharacteristic
244C22×SD16C2311yescharacteristic
245C22×D8C2311yescharacteristic
246C22×D8C2311yescharacteristic
247C22×D8C2311yescharacteristic
248C22×D8C2311yescharacteristic
249C22×M16C2311yescharacteristic
250C23×C8C2311yescharacteristic
251C23×C8C2311yescharacteristic
252C23×C8C2311yescharacteristic
253D4×Q8—24no—
254D4×Q8—24no—
255D4×Q8—42no—
256D4×Q8—42no—
257#548—24no—
258#548—42no—
259D42—24no—
260D42—24no—
261D42—24no—
262D42—42no—
263D42—42no—
264D42—42no—
265#536—24no—
266#536—42no—
267C2×C4⋊Q8—21no—
268C2×C4⋊Q8—21no—
269C2×C4⋊Q8C2311yescharacteristic
270C2×C4⋊Q8C2311yescharacteristic
271C2×C4⋊Q8C2311yescharacteristic
272C2×#127C2311yescharacteristic
273C2×#127C2311yescharacteristic
274C2×#127C2311yescharacteristic
275C2×#124—21no—
276C2×#124C2311yescharacteristic
277C2×#124C2311yescharacteristic
278C2×#124C2311yescharacteristic
279C2×#123—21no—
280C2×#123—21no—
281C2×C22⋊Q8—21no—
282C2×C22⋊Q8—21no—
283C2×C22⋊Q8—21no—
284C2×C22⋊Q8—21no—
285C2×C22⋊Q8—21no—
286C2×C22⋊Q8—21no—
287C2×C22⋊Q8—21no—
288C2×C22⋊Q8C2311yescharacteristic
289C2×C22⋊Q8C2311yescharacteristic
290C2×C22⋊Q8C2311yescharacteristic
291C2×C22⋊Q8C2311yescharacteristic
292C2×C22⋊Q8C2311yescharacteristic
293C2×#121—21no—
294C2×#121—21no—
295C2×#121—21no—
296C2×#121—21no—
297C2×#121—21no—
298C2×#121—21no—
299C2×#121—21no—
300C2×#121—21no—
301C2×#121C2311yescharacteristic
302C2×#121C2311yescharacteristic
303C2×#121C2311yescharacteristic
304C2×#121C2311yescharacteristic
305C2×#121C2311yescharacteristic
306C2×#121C2311yescharacteristic
307C2×#121C2311yescharacteristic
308C2×#121C2311yescharacteristic
309C2×#120—21no—
310C2×#120—21no—
311C2×#120—21no—
312C2×#120—21no—
313C2×#120—21no—
314C2×#120—21no—
315#518—24no—
316#518—42no—
317C2×C4×Q8C2311yescharacteristic
318C2×C4×Q8C2311yescharacteristic
319C2×C4×Q8C2311yescharacteristic
320C2×C4×D4—21no—
321C2×C4×D4—21no—
322C2×C4×D4—21no—
323C2×C4×D4—21no—
324C2×C4×D4—21no—
325C2×C4×D4C2311yescharacteristic
326C2×C4×D4C2311yescharacteristic
327C2×C4×D4C2311yescharacteristic
328C2×C4×D4C2311yescharacteristic
329C2×C4×D4C2311yescharacteristic
330C2×C4×D4C2311yescharacteristic
331C2×C4×D4C2311yescharacteristic
332C2×C4×D4C2311yescharacteristic
333C2×C4×D4C2311yescharacteristic
334C2×#117C2311yescharacteristic
335C2×#117C2311yescharacteristic
336C22×C22⋊C4—21no—
337C22×C22⋊C4—21no—
338C22×C22⋊C4—21no—
339C22×C22⋊C4—21no—
340#496—24no—
341#496—42no—
342#492—24no—
343#492—24no—
344#468—24no—
345#466—24no—
346#465—24no—
347#465—24no—
348#465—24no—
349#465—24no—
350#463—24no—
351#463—24no—
352#463—24no—
353#463—24no—
354#463—24no—
355#461—24no—
356#461—24no—
357#461—24no—
358#461—24no—
359#461D418yescomplemented
360#460—24no—
361#460—24no—
362#460—24no—
363#450—24no—
364#450—24no—
365#450—24no—
366#450—42no—
367#450D418yescomplemented
368#449—24no—
369#449—42no—
370#448—24no—
371#448—24no—
372#448—24no—
373#448—24no—
374#448—24no—
375#448—42no—
376#447—24no—
377#447—42no—
378#440—24no—
379#440—42no—
380C4×SD16—24no—
381C4×SD16—24no—
382#435—24no—
383C8×D4—24no—
384C8×D4—24no—
385C2×#107C2311yescharacteristic
386C2×#107C2311yescharacteristic
387C2×#106C2311yescharacteristic
388C2×#106C2311yescharacteristic
389#424—24no—
390C2×C4⋊C8C2311yescharacteristic
391C2×C4⋊C8C2311yescharacteristic
392C2×C4⋊C8C2311yescharacteristic
393C2×C4⋊C8C2311yescharacteristic
394C2×C4⋊C8C2311yescharacteristic
395C2×C4⋊C8C2311yescharacteristic
396#419—24no—
397#416—24no—
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×#97C2311yescharacteristic
439C2×#97C2311yescharacteristic
440C2×C4×C8C2311yescharacteristic
441C2×C4×C8C2311yescharacteristic
442#399—21no—
443#398—21no—
444#398D411yescharacteristic
445#397—21no—
446#397D411yescharacteristic
447#396—21no—
448#396—21no—
449#396—21no—
450#396—21no—
451#396D411yescharacteristic
452#396D411yescharacteristic
453#395—21no—
454#395—21no—
455#395—21no—
456#394—21no—
457#394—21no—
458#394—21no—
459#394—21no—
460#394—21no—
461#394—21no—
462#394—21no—
463#394—21no—
464#394D411yescharacteristic
465#394D411yescharacteristic
466#394D411yescharacteristic
467#393—21no—
468#393—21no—
469#393—21no—
470#392—21no—
471#392—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#392—21no—
481#392D411yescharacteristic
482#391C2311yescharacteristic
483#391C2311yescharacteristic
484#391C2311yescharacteristic
485#391C2311yescharacteristic
486#390—21no—
487#390—21no—
488#390—21no—
489#390—21no—
490#390—21no—
491#390C2311yescharacteristic
492#390C2311yescharacteristic
493#390C2311yescharacteristic
494#390C2311yescharacteristic
495#390C2311yescharacteristic
496#389—21no—
497#389—21no—
498#389—21no—
499#389C2311yescharacteristic
500#389C2311yescharacteristic
501#389C2311yescharacteristic
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#387—21no—
511#387—21no—
512#387—21no—
513#386—21no—
514#386—21no—
515#386—21no—
516#386—21no—
517#386—21no—
518#386—21no—
519#386—21no—
520#386—21no—
521#386—21no—
522#386—21no—
523#386—21no—
524#386—21no—
525#385—21no—
526#385—21no—
527#385—21no—
528#385—21no—
529#385—21no—
530#385—21no—
531#382C2311yescharacteristic
532#380—21no—
533#380C2311yescharacteristic
534#380C2311yescharacteristic
535#380C2311yescharacteristic
536#379—21no—
537#379—21no—
538C4×C4⋊C4—21no—
539C4×C4⋊C4C2311yescharacteristic
540C4×C4⋊C4C2311yescharacteristic
541C4×C22⋊C4C2311yescharacteristic
542C4×C22⋊C4C2311yescharacteristic
543C2×#95—21no—
544#340C2311yescharacteristic
545#340C2311yescharacteristic
546#340C2311yescharacteristic
547#340C2311yescharacteristic
548#340C2311yescharacteristic
549#340C2311yescharacteristic
550#340C2311yescharacteristic
551#340C2311yescharacteristic
552#336C2311yescharacteristic
553#336C2311yescharacteristic
554#336C2311yescharacteristic
555#336C2311yescharacteristic
556#336C2311yescharacteristic
557#336C2311yescharacteristic
558C25—21no—
559C25—21no—
560C25—21no—
561C2×#41—22no—
562C2×#41—22no—
563C2×#41—22no—
564C2×#41—41no—
565C2×#41—41no—
566C2×#41—41no—
567C22×Q8—21no—
568C22×Q8—21no—
569C22×Q8—21no—
570C22×Q8—22no—
571C22×Q8—22no—
572C22×Q8—22no—
573C22×Q8—22no—
574C22×Q8—22no—
575C22×Q8—22no—
576C22×Q8—22no—
577C22×Q8—41no—
578C22×Q8—41no—
579C22×Q8—41no—
580C22×Q8—41no—
581C22×Q8—41no—
582C22×Q8—41no—
583C22×Q8—41no—
584C22×Q8—41no—
585C22×Q8—41no—
586C22×Q8—41no—
587C22×Q8—41no—
588C22×Q8C2411yescharacteristic
589C22×Q8C2411yescharacteristic
590C22×Q8C2411yescharacteristic
591C22×Q8C2411yescharacteristic
592C22×D4—22no—
593C22×D4—22no—
594C22×D4—22no—
595C22×D4—22no—
596C22×D4—22no—
597C22×D4—22no—
598C22×D4—22no—
599C22×D4—22no—
600C22×D4—21no—
601C22×D4—21no—
602C22×D4—21no—
603C22×D4—21no—
604C22×D4—21no—
605C22×D4—21no—
606C22×D4—21no—
607C22×D4—21no—
608C22×D4—21no—
609C22×D4—21no—
610C22×D4—21no—
611C22×D4—21no—
612C22×D4—21no—
613C22×D4—21no—
614C22×D4—21no—
615C22×D4—21no—
616C22×D4—21no—
617C22×D4—21no—
618C22×D4—22no—
619C22×D4—41no—
620C22×D4—41no—
621C22×D4—41no—
622C22×D4—41no—
623C22×D4—41no—
624C22×D4—41no—
625C22×D4—41no—
626C22×D4—41no—
627C22×D4—44no—
628C22×D4—44no—
629C22×D4—44no—
630C22×D4—82no—
631C22×D4—82no—
632C22×D4—82no—
633C22×D4—82no—
634C22×D4—82no—
635C22×D4—82no—
636C22×D4C2×D411yescharacteristic
637C22×D4C2×D411yescharacteristic
638C22×D4C2×D411yescharacteristic
639C22×D4C2×D414yes—
640C22×D4C2411yescharacteristic
641C22×D4C2411yescharacteristic
642C22×D4C2411yescharacteristic
643C22×D4C2411yescharacteristic
644C22×D4C2411yescharacteristic
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×C4—21no—
654C23×C4—21no—
655C23×C4C2411yescharacteristic
656C23×C4C2411yescharacteristic
657C23×C4C2411yescharacteristic
658AGL(1,ℤ/8)—416no—
659C2×SD16—22no—
660C2×SD16—22no—
661C2×SD16—22no—
662C2×SD16—22no—
663C2×SD16—22no—
664C2×SD16—22no—
665C2×SD16—22no—
666C2×SD16—22no—
667C2×SD16—22no—
668C2×SD16—22no—
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—41no—
696C2×SD16—41no—
697C2×SD16—41no—
698C2×SD16—41no—
699C2×SD16—41no—
700C2×SD16—41no—
701C2×SD16—41no—
702C2×SD16—41no—
703C2×SD16—416no—
704C2×SD16—416no—
705C2×SD16—416no—
706C2×SD16C2×D414yes—
707C2×SD16C2×D414yes—
708C2×SD16C2×D414yes—
709C2×SD16C2×D414yescomplemented
710C2×D8—22no—
711C2×D8—22no—
712C2×D8—22no—
713C2×D8—22no—
714C2×D8—22no—
715C2×D8—22no—
716C2×D8—41no—
717C2×D8—41no—
718C2×D8—41no—
719C2×D8—41no—
720C2×D8—41no—
721C2×D8—41no—
722C2×M16—22no—
723C2×M16—22no—
724C2×M16—41no—
725C22×C8—22no—
726C22×C8—22no—
727C22×C8—22no—
728C22×C8—22no—
729C22×C8—22no—
730C22×C8—22no—
731C22×C8—41no—
732C22×C8—41no—
733C22×C8—41no—
734C22×C8C2411yescharacteristic
735C22×C8C2411yescharacteristic
736C22×C8C2411yescharacteristic
737C22×C8C2411yescharacteristic
738C22×C8C2411yescharacteristic
739C22×C8C2411yescharacteristic
740C22×C8C2411yescharacteristic
741C22×C8C2411yescharacteristic
742C4⋊Q8—22no—
743C4⋊Q8—22no—
744C4⋊Q8—22no—
745C4⋊Q8—41no—
746C4⋊Q8—41no—
747C4⋊Q8—44no—
748C4⋊Q8—44no—
749C4⋊Q8C2×D414yescomplemented
750#127—22no—
751#127—22no—
752#127—22no—
753#127—22no—
754#127—41no—
755#127—41no—
756#124—22no—
757#124—22no—
758#124—22no—
759#124—22no—
760#124—41no—
761#124—41no—
762#124—44no—
763#123—44no—
764#123—44no—
765C22⋊Q8—22no—
766C22⋊Q8—22no—
767C22⋊Q8—22no—
768C22⋊Q8—22no—
769C22⋊Q8—44no—
770C22⋊Q8—44no—
771C22⋊Q8—44no—
772C22⋊Q8—44no—
773C22⋊Q8—44no—
774C22⋊Q8—44no—
775C22⋊Q8—44no—
776C22⋊Q8—41no—
777C22⋊Q8—41no—
778C22⋊Q8—41no—
779C22⋊Q8—41no—
780C22⋊Q8—41no—
781C22⋊Q8C2×D414yescomplemented
782#121—22no—
783#121—22no—
784#121—22no—
785#121—22no—
786#121—22no—
787#121—22no—
788#121—22no—
789#121—22no—
790#121—22no—
791#121—44no—
792#121—41no—
793#121—41no—
794#121—41no—
795#121—41no—
796#121—41no—
797#121—44no—
798#121—44no—
799#121—44no—
800#121—41no—
801#121—41no—
802#121—82no—
803#121—82no—
804#121—82no—
805#121—82no—
806#120—44no—
807#120—44no—
808#120—44no—
809#120—44no—
810#120—44no—
811#120—44no—
812C4×Q8—22no—
813C4×Q8—22no—
814C4×Q8—22no—
815C4×Q8—22no—
816C4×Q8—41no—
817C4×Q8—41no—
818C4×D4—22no—
819C4×D4—22no—
820C4×D4—22no—
821C4×D4—22no—
822C4×D4—22no—
823C4×D4—22no—
824C4×D4—22no—
825C4×D4—22no—
826C4×D4—22no—
827C4×D4—22no—
828C4×D4—22no—
829C4×D4—22no—
830C4×D4—22no—
831C4×D4—41no—
832C4×D4—41no—
833C4×D4—41no—
834C4×D4—41no—
835C4×D4—44no—
836C4×D4—44no—
837C4×D4—44no—
838C4×D4—44no—
839C4×D4—44no—
840C4×D4C2×D414yes—
841#117—22no—
842#117—22no—
843#117—22no—
844#117—41no—
845C2×C4⋊C4—21no—
846C2×C4⋊C4—21no—
847C2×C4⋊C4—21no—
848C2×C4⋊C4—21no—
849C2×C4⋊C4—21no—
850C2×C4⋊C4—21no—
851C2×C4⋊C4—21no—
852C2×C4⋊C4—21no—
853C2×C4⋊C4—21no—
854C2×C4⋊C4—21no—
855C2×C4⋊C4—21no—
856C2×C4⋊C4—21no—
857C2×C4⋊C4—21no—
858C2×C4⋊C4—21no—
859C2×C4⋊C4—21no—
860C2×C4⋊C4—21no—
861C2×C4⋊C4—21no—
862C2×C4⋊C4C2×D411yescharacteristic
863C2×C4⋊C4C2×D411yescharacteristic
864C2×C4⋊C4C2×D411yescharacteristic
865C2×C4⋊C4C2×D411yescharacteristic
866C2×C4⋊C4C2×D411yescharacteristic
867C2×C4⋊C4C2×D411yescharacteristic
868C2×C4⋊C4C2×D411yescharacteristic
869C2×C4⋊C4C2411yescharacteristic
870C2×C4⋊C4C2411yescharacteristic
871C2×C4⋊C4C2411yescharacteristic
872C2×C4⋊C4C2411yescharacteristic
873C2×C4⋊C4C2411yescharacteristic
874C2×C4⋊C4C2411yescharacteristic
875C2×C4⋊C4C2411yescharacteristic
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—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—44no—
916C2×C22⋊C4—44no—
917C2×C22⋊C4—82no—
918C2×C22⋊C4—82no—
919C2×C22⋊C4C2×D411yescharacteristic
920C2×C22⋊C4C2×D411yescharacteristic
921C2×C22⋊C4C2×D411yescharacteristic
922C2×C22⋊C4C2×D411yescharacteristic
923C2×C22⋊C4C2×D411yescharacteristic
924C2×C22⋊C4C2×D411yescharacteristic
925C2×C22⋊C4C2×D411yescharacteristic
926C2×C22⋊C4C2×D411yescharacteristic
927C2×C22⋊C4C2×D411yescharacteristic
928C2×C22⋊C4C2×D411yescharacteristic
929C2×C22⋊C4C2×D411yescharacteristic
930C2×C22⋊C4C2×D411yescharacteristic
931C2×C42—21no—
932C2×C42—21no—
933C2×C42—21no—
934C2×C42—21no—
935C2×C42—21no—
936C2×C42C2411yescharacteristic
937C2×C42C2411yescharacteristic
938C2×C42C2411yescharacteristic
939C2×C42C2411yescharacteristic
940#107—22no—
941#107—41no—
942#106—22no—
943#106—22no—
944C4⋊C8—22no—
945C4⋊C8—22no—
946C4⋊C8—22no—
947C4⋊C8—22no—
948C4⋊C8—22no—
949C4⋊C8C2×D414yescomplemented
950#103—22no—
951#103—22no—
952#103—22no—
953#103—22no—
954#103—22no—
955#103—22no—
956#103—22no—
957#103—22no—
958#103—22no—
959#103—22no—
960#103—41no—
961#103—41no—
962#103—41no—
963#103—41no—
964#103C2×D414yescomplemented
965#103C2×D414yescomplemented
966#102—22no—
967#102—22no—
968#102—22no—
969#102—22no—
970#102—22no—
971#102—22no—
972#102—22no—
973#102—22no—
974#102—22no—
975#102—41no—
976#102—41no—
977#102—41no—
978#102—41no—
979#102—41no—
980#102C2×D414yes—
981#102C2×D414yescomplemented
982C22⋊C8—22no—
983C22⋊C8—22no—
984C22⋊C8—22no—
985C22⋊C8—22no—
986C22⋊C8—22no—
987C22⋊C8—41no—
988C22⋊C8—41no—
989C22⋊C8C2×D414yescomplemented
990#97—22no—
991#97—22no—
992C4×C8—22no—
993C4×C8—22no—
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#95C2×D411yescharacteristic
1012#95C2×D411yescharacteristic
1013#95C2×D411yescharacteristic
1014#95C2×D411yescharacteristic
1015#95C2×D411yescharacteristic
1016#95C2×D411yescharacteristic
1017C24—21no—
1018C24—21no—
1019C24—24no—
1020C24—21no—
1021C24—21no—
1022C24—21no—
1023C24—42no—
1024C24—42no—
1025C24—42no—
1026C24—42no—
1027C24—42no—
1028C24—42no—
1029C24—42no—
1030C24—42no—
1031C24—42no—
1032C24—42no—
1033C24—81no—
1034C24—81no—
1035C24—81no—
1036C24—81no—
1037C24—81no—
1038C24—81no—
1039C24—81no—
1040C24—81no—
1041C24—81no—
1042C24—81no—
1043C24C22×D411yescharacteristic
1044C24C22×D411yescharacteristic
1045C24C22×D411yescharacteristic
1046#41—44no—
1047#41—44no—
1048#41—82no—
1049#41—82no—
1050C2×Q8—21no—
1051C2×Q8—21no—
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—42no—
1072C2×Q8—42no—
1073C2×Q8—42no—
1074C2×Q8—42no—
1075C2×Q8—42no—
1076C2×Q8—44no—
1077C2×Q8—44no—
1078C2×Q8—42no—
1079C2×Q8—44no—
1080C2×Q8—44no—
1081C2×Q8—81no—
1082C2×Q8—81no—
1083C2×Q8—81no—
1084C2×Q8—82no—
1085C2×Q8—82no—
1086C2×Q8—82no—
1087C2×Q8—82no—
1088C2×Q8—82no—
1089C2×Q8—82no—
1090C2×Q8—82no—
1091C2×Q8—82no—
1092C2×Q8C22×D412yes—
1093C2×Q8C22×D412yes—
1094C2×Q8C22×D412yes—
1095C2×D4—22no—
1096C2×D4—22no—
1097C2×D4—22no—
1098C2×D4—22no—
1099C2×D4—28no—
1100C2×D4—22no—
1101C2×D4—22no—
1102C2×D4—22no—
1103C2×D4—24no—
1104C2×D4—22no—
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—21no—
1122C2×D4—21no—
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—44no—
1132C2×D4—44no—
1133C2×D4—44no—
1134C2×D4—41no—
1135C2×D4—42no—
1136C2×D4—42no—
1137C2×D4—42no—
1138C2×D4—42no—
1139C2×D4—42no—
1140C2×D4—42no—
1141C2×D4—42no—
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—44no—
1153C2×D4—44no—
1154C2×D4—42no—
1155C2×D4—42no—
1156C2×D4—42no—
1157C2×D4—42no—
1158C2×D4—42no—
1159C2×D4—42no—
1160C2×D4—42no—
1161C2×D4—42no—
1162C2×D4—42no—
1163C2×D4—42no—
1164C2×D4—42no—
1165C2×D4—42no—
1166C2×D4—42no—
1167C2×D4—42no—
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—82no—
1179C2×D4—82no—
1180C2×D4—82no—
1181C2×D4—82no—
1182C2×D4—82no—
1183C2×D4—82no—
1184C2×D4—81no—
1185C2×D4—81no—
1186C2×D4—81no—
1187C2×D4—81no—
1188C2×D4—81no—
1189C2×D4—81no—
1190C2×D4—81no—
1191C2×D4—81no—
1192C2×D4—81no—
1193C2×D4—81no—
1194C2×D4—81no—
1195C2×D4—81no—
1196C2×D4—816no—
1197C2×D4—816no—
1198C2×D4—816no—
1199C2×D4C22×D412yes—
1200C2×D4C22×D412yes—
1201C2×D4C22×D412yes—
1202C2×D4H(5,𝔽2)12yes—
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—24no—
1225C22×C4—21no—
1226C22×C4—21no—
1227C22×C4—21no—
1228C22×C4—21no—
1229C22×C4—21no—
1230C22×C4—21no—
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—42no—
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×C4—81no—
1256C22×C4—81no—
1257C22×C4—81no—
1258C22×C4—81no—
1259C22×C4—81no—
1260C22×C4C22×D411yescharacteristic
1261C22×C4C22×D411yescharacteristic
1262C22×C4C22×D411yescharacteristic
1263C22×C4C22×D411yescharacteristic
1264C22×C4C22×D411yescharacteristic
1265C22×C4C22×D411yescharacteristic
1266C22×C4C22×D411yescharacteristic
1267C22×C4C22×D411yescharacteristic
1268C22×C4C22×D411yescharacteristic
1269C22×C4C22×D411yescharacteristic
1270C22×C4C22×D412yes—
1271C22×C4C22×D411yescharacteristic
1272C22×C4H(5,𝔽2)12yes—
1273C22×C4C2511yescharacteristic
1274SD16—28no—
1275SD16—28no—
1276SD16—28no—
1277SD16—44no—
1278SD16—44no—
1279SD16—44no—
1280SD16—44no—
1281SD16—44no—
1282SD16—44no—
1283SD16—44no—
1284SD16—44no—
1285SD16—44no—
1286SD16—82no—
1287SD16—82no—
1288SD16—82no—
1289SD16—82no—
1290D8—44no—
1291D8—44no—
1292D8—82no—
1293D8—82no—
1294M16—44no—
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—21no—
1304C2×C8—21no—
1305C2×C8—21no—
1306C2×C8—21no—
1307C2×C8—21no—
1308C2×C8—21no—
1309C2×C8—21no—
1310C2×C8—21no—
1311C2×C8—21no—
1312C2×C8—21no—
1313C2×C8—21no—
1314C2×C8—21no—
1315C2×C8—44no—
1316C2×C8—44no—
1317C2×C8—44no—
1318C2×C8C22×D412yes—
1319C2×C8C22×D412yes—
1320C2×C8C22×D412yes—
1321C2×C8C22×D412yes—
1322C4⋊C4—24no—
1323C4⋊C4—24no—
1324C4⋊C4—24no—
1325C4⋊C4—22no—
1326C4⋊C4—22no—
1327C4⋊C4—22no—
1328C4⋊C4—22no—
1329C4⋊C4—22no—
1330C4⋊C4—22no—
1331C4⋊C4—21no—
1332C4⋊C4—21no—
1333C4⋊C4—21no—
1334C4⋊C4—21no—
1335C4⋊C4—21no—
1336C4⋊C4—21no—
1337C4⋊C4—21no—
1338C4⋊C4—21no—
1339C4⋊C4—21no—
1340C4⋊C4—21no—
1341C4⋊C4—21no—
1342C4⋊C4—21no—
1343C4⋊C4—41no—
1344C4⋊C4—42no—
1345C4⋊C4—42no—
1346C4⋊C4—42no—
1347C4⋊C4—42no—
1348C4⋊C4—42no—
1349C4⋊C4—42no—
1350C4⋊C4—42no—
1351C4⋊C4—42no—
1352C4⋊C4—42no—
1353C4⋊C4—42no—
1354C4⋊C4—81no—
1355C4⋊C4—81no—
1356C4⋊C4—81no—
1357C4⋊C4—81no—
1358C4⋊C4C22×D412yes—
1359C4⋊C4C22×D412yes—
1360C22⋊C4—24no—
1361C22⋊C4—22no—
1362C22⋊C4—22no—
1363C22⋊C4—22no—
1364C22⋊C4—22no—
1365C22⋊C4—24no—
1366C22⋊C4—22no—
1367C22⋊C4—22no—
1368C22⋊C4—22no—
1369C22⋊C4—22no—
1370C22⋊C4—22no—
1371C22⋊C4—22no—
1372C22⋊C4—22no—
1373C22⋊C4—41no—
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—42no—
1393C22⋊C4—42no—
1394C22⋊C4—42no—
1395C22⋊C4—42no—
1396C22⋊C4—42no—
1397C22⋊C4—42no—
1398C22⋊C4—42no—
1399C22⋊C4—81no—
1400C22⋊C4—81no—
1401C22⋊C4—81no—
1402C22⋊C4—81no—
1403C22⋊C4—81no—
1404C22⋊C4—81no—
1405C22⋊C4—81no—
1406C22⋊C4—81no—
1407C22⋊C4—81no—
1408C22⋊C4—81no—
1409C22⋊C4—81no—
1410C22⋊C4—81no—
1411C42—21no—
1412C42—21no—
1413C42—21no—
1414C42—21no—
1415C42—21no—
1416C42—21no—
1417C42—42no—
1418C42—42no—
1419C42—42no—
1420C42—42no—
1421C42—81no—
1422C42C22×D412yes—
1423C42H(5,𝔽2)12yes—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—22no—
1432C23—21no—
1433C23—22no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—22no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—22no—
1446C23—48no—
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—41no—
1472C23—41no—
1473C23—41no—
1474C23—41no—
1475C23—41no—
1476C23—41no—
1477C23—41no—
1478C23—84no—
1479C23—84no—
1480C23—84no—
1481C23—84no—
1482C23—84no—
1483C23—84no—
1484C23—84no—
1485C23—84no—
1486C23—84no—
1487C23—84no—
1488C23—162no—
1489C23—162no—
1490C23—162no—
1491C23—162no—
1492C23—162no—
1493C23—162no—
1494C23—162no—
1495C23—162no—
1496C23—162no—
1497C23—162no—
1498C23D4212yes—
1499C23#57712yes—
1500C23#57712yes—
1501C23C23×D411yescharacteristic
1502Q8—22no—
1503Q8—22no—
1504Q8—22no—
1505Q8—22no—
1506Q8—22no—
1507Q8—22no—
1508Q8—41no—
1509Q8—41no—
1510Q8—41no—
1511Q8—41no—
1512Q8—41no—
1513Q8—41no—
1514Q8—41no—
1515Q8—41no—
1516Q8—41no—
1517Q8—41no—
1518Q8—84no—
1519Q8—84no—
1520Q8—84no—
1521D4—28no—
1522D4—28no—
1523D4—22no—
1524D4—22no—
1525D4—22no—
1526D4—22no—
1527D4—22no—
1528D4—48no—
1529D4—44no—
1530D4—41no—
1531D4—41no—
1532D4—41no—
1533D4—41no—
1534D4—41no—
1535D4—41no—
1536D4—41no—
1537D4—41no—
1538D4—41no—
1539D4—41no—
1540D4—41no—
1541D4—41no—
1542D4—41no—
1543D4—41no—
1544D4—84no—
1545D4—84no—
1546D4—84no—
1547D4—84no—
1548D4—84no—
1549D4—84no—
1550D4—84no—
1551D4—84no—
1552D4—84no—
1553D4—84no—
1554D4—84no—
1555D4—84no—
1556D4—84no—
1557D4—162no—
1558D4—162no—
1559D4—162no—
1560D4—162no—
1561D4D4214yes—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—21no—
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—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—41no—
1621C2×C4—41no—
1622C2×C4—41no—
1623C2×C4—41no—
1624C2×C4—41no—
1625C2×C4—41no—
1626C2×C4—41no—
1627C2×C4—41no—
1628C2×C4—41no—
1629C2×C4—41no—
1630C2×C4—41no—
1631C2×C4—41no—
1632C2×C4—41no—
1633C2×C4—41no—
1634C2×C4—41no—
1635C2×C4—41no—
1636C2×C4—84no—
1637C2×C4—84no—
1638C2×C4—84no—
1639C2×C4—84no—
1640C2×C4—84no—
1641C2×C4—84no—
1642C2×C4—84no—
1643C2×C4—162no—
1644C2×C4—162no—
1645C2×C4—162no—
1646C2×C4D4212yes—
1647C2×C4D4212yes—
1648C2×C4D4212yes—
1649C2×C4#57712yes—
1650C2×C4C23×D411yescharacteristic
1651C2×C4C23×D411yescharacteristic
1652C2×C4C2×H(5,𝔽2)11yescharacteristic
1653C2×C4C2×H(5,𝔽2)11yescharacteristic
1654C2×C4C2×H(5,𝔽2)11yescharacteristic
1655C2×C4#58511yescharacteristic
1656C8—22no—
1657C8—22no—
1658C8—22no—
1659C8—22no—
1660C8—41no—
1661C8—41no—
1662C8—41no—
1663C8—41no—
1664C22—22no—
1665C22—22no—
1666C22—22no—
1667C22—24no—
1668C22—22no—
1669C22—22no—
1670C22—22no—
1671C22—22no—
1672C22—22no—
1673C22—22no—
1674C22—41no—
1675C22—41no—
1676C22—42no—
1677C22—41no—
1678C22—41no—
1679C22—42no—
1680C22—41no—
1681C22—41no—
1682C22—42no—
1683C22—42no—
1684C22—41no—
1685C22—41no—
1686C22—42no—
1687C22—41no—
1688C22—42no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—42no—
1693C22—42no—
1694C22—42no—
1695C22—81no—
1696C22—81no—
1697C22—81no—
1698C22—81no—
1699C22—81no—
1700C22—81no—
1701C22—81no—
1702C22—81no—
1703C22—81no—
1704C22—81no—
1705C22—81no—
1706C22—81no—
1707C22—81no—
1708C22—81no—
1709C22—81no—
1710C22—81no—
1711C22—81no—
1712C22—81no—
1713C22—81no—
1714C22—81no—
1715C22—81no—
1716C22—81no—
1717C22—81no—
1718C22—81no—
1719C22—81no—
1720C22—168no—
1721C22—168no—
1722C22—168no—
1723C22C2×D4211yescharacteristic
1724C22C2×D4211yescharacteristic
1725C22#348811yescharacteristic
1726C22C2×#57711yescharacteristic
1727C22C2×#57711yescharacteristic
1728C22C2×#57711yescharacteristic
1729C22#358511yescharacteristic
1730C4—22no—
1731C4—22no—
1732C4—22no—
1733C4—22no—
1734C4—41no—
1735C4—41no—
1736C4—42no—
1737C4—42no—
1738C4—42no—
1739C4—41no—
1740C4—41no—
1741C4—42no—
1742C4—41no—
1743C4—41no—
1744C4—42no—
1745C4—41no—
1746C4—81no—
1747C4—81no—
1748C4—81no—
1749C4—81no—
1750C4—81no—
1751C4—81no—
1752C4C2×D4211yescharacteristic
1753C4#348811yescharacteristic
1754C4#349611yescharacteristic
1755C4#353711yescharacteristic
1756C2—42no—
1757C2—42no—
1758C2—42no—
1759C2—44no—
1760C2—82no—
1761C2—161no—
1762C2—161no—
1763C2—161no—
1764C2#5899711yescharacteristic
1765C2#6105011yescharacteristic
1766C2#6105011yescharacteristic
1767C2#6107111yescharacteristic
1768C2#6109511yescharacteristic
1769C2#6201611yescharacteristic
1770C2#6205211yescharacteristic
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×D4×SD16C2semidirect
2. C2×D4×SD16C2semidirect
3. C2×#3265C2semidirect
4. C2×#3042C2semidirect
5. #45248C2semidirect
6. #35691C2semidirect
7. #30851C2semidirect
8. #30848C2semidirect
9. #30461C2semidirect
10. #30453C2semidirect
11. #28480C2semidirect
12. #25763C2semidirect
13. #25733C2semidirect
14. #25388C2semidirect
15. #25366C2semidirect
16. #25176C2semidirect
17. #25152C2semidirect
18. #25122C2semidirect
19. #25115C2semidirect
20. #24768C2semidirect
21. #24737C2semidirect
22. #24445C2semidirect
23. #24425C2semidirect
24. #24359C2semidirect
25. #24358C2semidirect
26. #24251C2semidirect
27. #23860C2semidirect
28. #23849C2semidirect
29. #23012C2semidirect
30. #22991C2semidirect
31. #21459C2semidirect
36. C2×D4×Q8C22semidirect
37. C2×D4×Q8C22semidirect
38. C2×#548C22semidirect
42. C2×#536C22semidirect
47. C2×#496C22semidirect
48. C2×#496C22semidirect
49. C2×#492C22semidirect
50. C2×#492C22semidirect
51. C2×#468C22semidirect
52. C2×#466C22semidirect
53. C2×#465C22semidirect
54. C2×#465C22semidirect
55. C2×#465C22semidirect
56. C2×#465C22semidirect
58. C2×#460C22semidirect
59. C2×#460C22semidirect
60. C2×#460C22semidirect
64. C2×#463C22semidirect
65. C2×#463C22semidirect
69. C2×#461C22semidirect
70. C2×#461C22semidirect
71. C2×#449C22semidirect
72. C2×#449C22semidirect
73. C2×#448C22semidirect
74. C2×#448C22semidirect
75. C2×#448C22semidirect
76. C2×#448C22semidirect
77. C2×#448C22semidirect
78. C2×#448C22semidirect
87. C2×#440C22semidirect
90. C2×#435C22semidirect
91. C2×C8×D4C22semidirect
92. C2×C8×D4C22semidirect
93. C2×#424C22semidirect
94. C2×#419C22semidirect
95. C2×#416C22semidirect
102. #2545C22semidirect
105. #2540C22semidirect
111. #2436C22semidirect
112. #2434C22semidirect
113. #2429C22semidirect
116. #2426C22semidirect
123. #2409C22semidirect
125. #2407C22semidirect
128. #2365C22semidirect
132. #2323C22semidirect
133. #2067C22semidirect
134. #2066C22semidirect
135. #2065C22semidirect
136. #2065C22semidirect
137. #2055C22semidirect
138. #2055C22semidirect
139. #2055C22semidirect
140. #2055C22semidirect
141. #2043C22semidirect
142. #2042C22semidirect
143. #2036C22semidirect
144. #2036C22semidirect
145. #2036C22semidirect
146. #2034C22semidirect
147. #2014C22semidirect
148. #2014C22semidirect
149. #2014C22semidirect
150. #2013C22semidirect
151. #2013C22semidirect
152. #2013C22semidirect
153. #2012C22semidirect
154. #2012C22semidirect
155. #2012C22semidirect
156. #2011C22semidirect
157. #2000C22semidirect
158. #2000C22semidirect
159. #2000C22semidirect
160. #2000C22semidirect
161. #2000C22semidirect
162. #1999C22semidirect
163. #1999C22semidirect
164. #1999C22semidirect
165. #1982C22semidirect
166. #1973C22semidirect
167. #1970C22semidirect
168. #1960C22semidirect
169. #1958C22semidirect
170. #1955C22semidirect
171. #1949C22semidirect
172. #1939C22semidirect
173. #1935C22semidirect
174. #1933C22semidirect
175. #1924C22semidirect
176. #1923C22semidirect
177. #1895C22semidirect
178. #1893C22semidirect
179. #1893C22semidirect
180. #1892C22semidirect
181. #1880C22semidirect
182. #1880C22semidirect
188. #1877C22semidirect
189. #1873C22semidirect
190. #1870C22semidirect
191. #1869C22semidirect
192. #1865C22semidirect
193. #1864C22semidirect
194. #1863C22semidirect
196. #1854C22semidirect
197. #1850C22semidirect
198. #1850C22semidirect
199. #1805C22semidirect
200. #1787C22semidirect
201. #1787C22semidirect
203. #1771C22semidirect
205. C4×#102C22semidirect
206. #1750C22semidirect
359. #461D4semidirect
367. #450D4semidirect
709. C2×SD16C2×D4semidirect
749. C4⋊Q8C2×D4semidirect
781. C22⋊Q8C2×D4semidirect
949. C4⋊C8C2×D4semidirect
964. #103C2×D4semidirect
965. #103C2×D4semidirect
981. #102C2×D4semidirect
989. C22⋊C8C2×D4semidirect

Maximal subgroups

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

subgroupindex
C2×D4×SD162
C2×#32652
C2×#30422
#452482
#356912
#308512
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