Finite Group Databasebeta

← #7518897

Subgroups — #7518897

Order 512.

2960 conjugacy classes of subgroups.

The subgroup lattice has 1797 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3274C211yesmaximal, characteristic, complemented
2C2×#3273C211yesmaximal, characteristic, complemented
3C2×#3273C211yesmaximal, characteristic, complemented
4C2×#3036C211yesmaximal, characteristic, complemented
5#59129C211yesmaximal, characteristic, complemented
6#36214C211yesmaximal, characteristic, complemented
7#30860C211yesmaximal, characteristic, complemented
8#30855C211yesmaximal, characteristic, complemented
9#30455C211yesmaximal, characteristic, complemented
10#30444C211yesmaximal, characteristic, complemented
11#28465C211yesmaximal, characteristic, complemented
12#25762C211yesmaximal, characteristic, complemented
13#25723C211yesmaximal, characteristic, complemented
14#25390C211yesmaximal, characteristic, complemented
15#25372C211yesmaximal, characteristic, complemented
16#25154C211yesmaximal, characteristic, complemented
17#25148C211yesmaximal, characteristic, complemented
18#25139C211yesmaximal, characteristic, complemented
19#25137C211yesmaximal, characteristic, complemented
20#24756C211yesmaximal, characteristic, complemented
21#24735C211yesmaximal, characteristic, complemented
22#24444C211yesmaximal, characteristic, complemented
23#24443C211yesmaximal, characteristic, complemented
24#24372C211yesmaximal, characteristic, complemented
25#24367C211yesmaximal, characteristic, complemented
26#24245C211yesmaximal, characteristic, complemented
27#23863C211yesmaximal, characteristic, complemented
28#23860C211yesmaximal, characteristic, complemented
29#22999C211yesmaximal, characteristic, complemented
30#22990C211yesmaximal, characteristic, complemented
31C4×#447C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic
33C22×AGL(1,ℤ/8)C2211yescharacteristic
34C22×AGL(1,ℤ/8)C2211yescharacteristic
35C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
36C2×#550C2211yescharacteristic
37C2×#546C2211yescharacteristic
38C2×#546C2211yescharacteristic
39C2×#546C2211yescharacteristic, complemented
40C2×#546C2211yescharacteristic, complemented
41C2×D42C2211yescharacteristic, complemented
42C2×#532C2211yescharacteristic, complemented
43C22×C4×D4C2211yescharacteristic, complemented
44#3274—28no—
45#3273—28no—
46#3273—28no—
47C2×#495C2211yescharacteristic, complemented
48C2×#495C2211yescharacteristic, complemented
49C2×#495C2211yescharacteristic, complemented
50C2×#493C2211yescharacteristic
51C2×#469C2211yescharacteristic
52C2×#469C2211yescharacteristic, complemented
53C2×#468C2211yescharacteristic, complemented
54C2×#468C2211yescharacteristic, complemented
55C2×#468C2211yescharacteristic, complemented
56C2×#468C2211yescharacteristic, complemented
57#3036—28no—
58C2×#460C2211yescharacteristic, complemented
59C2×#463C2211yescharacteristic
60C2×#463C2211yescharacteristic
61C2×#463C2211yescharacteristic, complemented
62C2×#463C2211yescharacteristic, complemented
63C2×#463C2211yescharacteristic, complemented
64C2×#463C2211yescharacteristic, complemented
65C2×#463C2211yescharacteristic, complemented
66C2×#461C2211yescharacteristic, complemented
67C2×#461C2211yescharacteristic, complemented
68C2×#459C2211yescharacteristic
69C2×#459C2211yescharacteristic
70C2×#459C2211yescharacteristic, complemented
71C2×#452C2211yescharacteristic
72C2×#452C2211yescharacteristic
73C2×#452C2211yescharacteristic, complemented
74C2×#452C2211yescharacteristic, complemented
75C2×#452C2211yescharacteristic, complemented
76C2×#449C2211yescharacteristic
77C2×#449C2211yescharacteristic
78C2×#449C2211yescharacteristic
79C2×#449C2211yescharacteristic, complemented
80C2×#450C2211yescharacteristic, complemented
81C2×#447C2211yescharacteristic
82C2×#447C2211yescharacteristic
83C2×#447C2211yescharacteristic, complemented
84C2×#447C2211yescharacteristic, complemented
85C2×#447C2211yescharacteristic, complemented
86C2×C4×SD16C2211yescharacteristic, complemented
87C2×C4×D8C2211yescharacteristic
88C2×C4×D8C2211yescharacteristic
89C2×C4×D8C2211yescharacteristic, complemented
90C2×#436C2211yescharacteristic, complemented
91C2×#436C2211yescharacteristic, complemented
92C2×#436C2211yescharacteristic, complemented
93C2×#423C2211yescharacteristic, complemented
94C2×#417C2211yescharacteristic, complemented
95C2×#417C2211yescharacteristic, complemented
96#2850C2211yescharacteristic, complemented
97#2847—21no—
98#2671—21no—
99#2669—21no—
100#2544C2211yescharacteristic, complemented
101#2544C2211yescharacteristic, complemented
102#2543—21no—
103#2540C2211yescharacteristic, complemented
104#2535C2211yescharacteristic
105#2534—21no—
106#2464—21no—
107#2455—21no—
108#2433C2211yescharacteristic, complemented
109#2432C2211yescharacteristic, complemented
110#2429C2211yescharacteristic, complemented
111#2428—21no—
112#2428C2211yescharacteristic
113#2428C2211yescharacteristic, complemented
114#2427C2211yescharacteristic, complemented
115#2425—21no—
116#2424—21no—
117#2424—21no—
118#2424—21no—
119#2417C2211yescharacteristic, complemented
120#2416C2211yescharacteristic
121#2412—21no—
122#2410—21no—
123#2407C2211yescharacteristic
124#2407C2211yescharacteristic, complemented
125#2367C2211yescharacteristic, complemented
126#2358—21no—
127#2349C2211yescharacteristic, complemented
128#2339C2211yescharacteristic
129D4×C22⋊C4C2211yescharacteristic, complemented
130C4×#121C2211yescharacteristic
131C4×#121C2211yescharacteristic, complemented
132C2×#386—21no—
133#2068C2211yescharacteristic, complemented
134#2067C2211yescharacteristic, complemented
135#2067C2211yescharacteristic, complemented
136#2066C2211yescharacteristic, complemented
137#2055C2211yescharacteristic, complemented
138#2055C2211yescharacteristic, complemented
139#2055C2211yescharacteristic, complemented
140#2054C2211yescharacteristic, complemented
141#2042C2211yescharacteristic, complemented
142#2041C2211yescharacteristic, complemented
143#2036C2211yescharacteristic, complemented
144#2035C2211yescharacteristic, complemented
145#2033C2211yescharacteristic, complemented
146#2033C2211yescharacteristic, complemented
147#2016C2211yescharacteristic, complemented
148#2015C2211yescharacteristic, complemented
149#2014C2211yescharacteristic, complemented
150#2014C2211yescharacteristic, complemented
151#2014C2211yescharacteristic, complemented
152#2013C2211yescharacteristic, complemented
153#2012C2211yescharacteristic, complemented
154#2012C2211yescharacteristic, complemented
155#2011C2211yescharacteristic
156#2011C2211yescharacteristic, complemented
157#2001C2211yescharacteristic, complemented
158#2000C2211yescharacteristic, complemented
159#2000C2211yescharacteristic, complemented
160#2000C2211yescharacteristic, complemented
161#2000C2211yescharacteristic, complemented
162#1999C2211yescharacteristic
163#1999C2211yescharacteristic, complemented
164#1999C2211yescharacteristic, complemented
165#1983C2211yescharacteristic, complemented
166#1970C2211yescharacteristic, complemented
167#1969C2211yescharacteristic, complemented
168#1958C2211yescharacteristic, complemented
169#1958C2211yescharacteristic, complemented
170#1954C2211yescharacteristic, complemented
171#1949C2211yescharacteristic, complemented
172#1939C2211yescharacteristic, complemented
173#1934C2211yescharacteristic, complemented
174#1933C2211yescharacteristic, complemented
175#1923C2211yescharacteristic, complemented
176#1923C2211yescharacteristic, complemented
177#1895C2211yescharacteristic, complemented
178#1895C2211yescharacteristic, complemented
179#1894C2211yescharacteristic, complemented
180#1894C2211yescharacteristic, complemented
181#1879C2211yescharacteristic
182#1879C2211yescharacteristic
183#1879C2211yescharacteristic, complemented
184#1879C2211yescharacteristic, complemented
185#1879C2211yescharacteristic, complemented
186#1878C2211yescharacteristic, complemented
187#1877C2211yescharacteristic, complemented
188#1877C2211yescharacteristic, complemented
189#1874C2211yescharacteristic, complemented
190#1870C2211yescharacteristic, complemented
191#1870C2211yescharacteristic, complemented
192#1864C2211yescharacteristic, complemented
193#1863C2211yescharacteristic, complemented
194#1862C2211yescharacteristic, complemented
195#1862C2211yescharacteristic, complemented
196#1852C2211yescharacteristic, complemented
197#1851C2211yescharacteristic, complemented
198#1851C2211yescharacteristic, complemented
199#1804C2211yescharacteristic, complemented
200#1788C2211yescharacteristic, complemented
201#1786C2211yescharacteristic, complemented
202#1786C2211yescharacteristic, complemented
203C8×C4⋊C4C2211yescharacteristic, complemented
204C4×#102C2211yescharacteristic, complemented
205C4×#102C2211yescharacteristic, complemented
206C4×C22⋊C8C2211yescharacteristic, complemented
207C22×#41C2311yescharacteristic
208C22×#41C2311yescharacteristic
209C22×#41C2311yescharacteristic
210C22×#41C2311yescharacteristic
211C23×D4—21no—
212C23×D4C2311yescharacteristic
213C23×D4C2311yescharacteristic
214C23×D4C2311yescharacteristic
215C24×C4—21no—
216C2×AGL(1,ℤ/8)—24no—
217C2×AGL(1,ℤ/8)—24no—
218C2×AGL(1,ℤ/8)—24no—
219C2×AGL(1,ℤ/8)—24no—
220C2×AGL(1,ℤ/8)—24no—
221C2×AGL(1,ℤ/8)—24no—
222C2×AGL(1,ℤ/8)—24no—
223C2×AGL(1,ℤ/8)—24no—
224C2×AGL(1,ℤ/8)—42no—
225C2×AGL(1,ℤ/8)—42no—
226C2×AGL(1,ℤ/8)—42no—
227C2×AGL(1,ℤ/8)—42no—
228C22×Q16C2311yescharacteristic
229C22×Q16C2311yescharacteristic
230C22×SD16C2311yescharacteristic
231C22×SD16C2311yescharacteristic
232C22×SD16C2311yescharacteristic
233C22×SD16C2311yescharacteristic
234C22×SD16C2311yescharacteristic
235C22×SD16C2311yescharacteristic
236C22×SD16C2311yescharacteristic
237C22×SD16C2311yescharacteristic
238C22×SD16C2311yescharacteristic
239C22×D8C2311yescharacteristic
240C22×D8C2311yescharacteristic
241C22×D8C2311yescharacteristic
242C22×D8C2311yescharacteristic
243C22×D8C2311yescharacteristic
244C22×D8C2311yescharacteristic
245C22×D8C2311yescharacteristic
246C22×D8C2311yescharacteristic
247C22×D8C2311yescharacteristic
248C22×M16C2311yescharacteristic
249C22×M16C2311yescharacteristic
250C22×M16C2311yescharacteristic
251C22×M16C2311yescharacteristic
252#550—24no—
253#550—42no—
254#546—24no—
255#546—24no—
256#546—24no—
257#546—24no—
258#546—42no—
259#546—42no—
260#546—42no—
261#546—42no—
262D42—24no—
263D42—42no—
264#532—24no—
265#532—42no—
266C2×C4⋊Q8C2311yescharacteristic
267C2×#127—21no—
268C2×#127C2311yescharacteristic
269C2×#127C2311yescharacteristic
270C2×#127C2311yescharacteristic
271C2×#124C2311yescharacteristic
272C2×#124C2311yescharacteristic
273C2×#124C2311yescharacteristic
274C2×#124C2311yescharacteristic
275C2×#124C2311yescharacteristic
276C2×#123—21no—
277C2×#123—21no—
278C2×#123—21no—
279C2×#123—21no—
280C2×C22⋊Q8C2311yescharacteristic
281C2×C22⋊Q8C2311yescharacteristic
282C2×C22⋊Q8C2311yescharacteristic
283C2×C22⋊Q8C2311yescharacteristic
284C2×C22⋊Q8C2311yescharacteristic
285C2×#121—21no—
286C2×#121—21no—
287C2×#121—21no—
288C2×#121—21no—
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×#121D411yescharacteristic
298C2×#121C2311yescharacteristic
299C2×#121C2311yescharacteristic
300C2×#121C2311yescharacteristic
301C2×#121C2311yescharacteristic
302C2×#121C2311yescharacteristic
303C2×#121C2311yescharacteristic
304C2×#121C2311yescharacteristic
305C2×#121C2311yescharacteristic
306C2×#120—21no—
307C2×#120—21no—
308C2×#120—21no—
309C2×#120—21no—
310C2×#120—21no—
311C2×#120—21no—
312C2×#120—21no—
313C2×#120—21no—
314C2×C4×Q8C2311yescharacteristic
315C2×C4×D4—21no—
316C2×C4×D4—21no—
317C2×C4×D4—24no—
318C2×C4×D4—21no—
319C2×C4×D4—21no—
320C2×C4×D4—21no—
321C2×C4×D4—21no—
322C2×C4×D4—42no—
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
333C2×C4×D4C2311yescharacteristic
334C22×C4⋊C4C2311yescharacteristic
335C22×C22⋊C4—21no—
336C22×C22⋊C4—21no—
337C22×C22⋊C4—21no—
338C22×C22⋊C4—21no—
339C22×C22⋊C4—21no—
340C22×C22⋊C4—21no—
341C22×C42C2311yescharacteristic
342#495—24no—
343#495—24no—
344#495—42no—
345#493—24no—
346#469—24no—
347#469—24no—
348#468—24no—
349#468—24no—
350#468—24no—
351#468—24no—
352#463—24no—
353#463—24no—
354#463—24no—
355#463—24no—
356#463—24no—
357#463—24no—
358#463D418yescomplemented
359#461—24no—
360#461—24no—
361#460—24no—
362#459—24no—
363#459—24no—
364#459—24no—
365#452—24no—
366#452—24no—
367#452—24no—
368#452—24no—
369#452—42no—
370#450—42no—
371#449—24no—
372#449—24no—
373#449—42no—
374#449—42no—
375#447—24no—
376#447—24no—
377#447—24no—
378#447—24no—
379#447D418yescomplemented
380C4×SD16—24no—
381C4×D8—24no—
382C4×D8—24no—
383C4×D8—42no—
384#436—24no—
385#436—24no—
386#436—24no—
387C2×#107C2311yescharacteristic
388C2×#107C2311yescharacteristic
389C2×#107C2311yescharacteristic
390C2×#106C2311yescharacteristic
391#423—24no—
392C2×C4⋊C8C2311yescharacteristic
393C2×C4⋊C8C2311yescharacteristic
394C2×C4⋊C8C2311yescharacteristic
395C2×C4⋊C8C2311yescharacteristic
396C2×C4⋊C8C2311yescharacteristic
397C2×C4⋊C8C2311yescharacteristic
398#417—24no—
399#417—24no—
400C2×#103C2311yescharacteristic
401C2×#103C2311yescharacteristic
402C2×#103C2311yescharacteristic
403C2×#103C2311yescharacteristic
404C2×#103C2311yescharacteristic
405C2×#103C2311yescharacteristic
406C2×#103C2311yescharacteristic
407C2×#103C2311yescharacteristic
408C2×#103C2311yescharacteristic
409C2×#103C2311yescharacteristic
410C2×#103C2311yescharacteristic
411C2×#102C2311yescharacteristic
412C2×#102C2311yescharacteristic
413C2×#102C2311yescharacteristic
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×#102C2311yescharacteristic
431C2×#102C2311yescharacteristic
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×C4×C8C2311yescharacteristic
441C2×C4×C8C2311yescharacteristic
442C2×C4×C8C2311yescharacteristic
443C2×C4×C8C2311yescharacteristic
444#399—21no—
445#398—21no—
446#398—21no—
447#397—21no—
448#397—21no—
449#396—21no—
450#396—21no—
451#396—21no—
452#394—21no—
453#394—21no—
454#394—21no—
455#394—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#392—21no—
465#392—21no—
466#392—21no—
467#392—21no—
468#392—21no—
469#392—21no—
470#392—21no—
471#392—21no—
472#391C2311yescharacteristic
473#391C2311yescharacteristic
474#391C2311yescharacteristic
475#391C2311yescharacteristic
476#390—21no—
477#390—21no—
478#390D411yescharacteristic
479#390C2311yescharacteristic
480#390C2311yescharacteristic
481#390C2311yescharacteristic
482#390C2311yescharacteristic
483#390C2311yescharacteristic
484#389—21no—
485#389D411yescharacteristic
486#389C2311yescharacteristic
487#389C2311yescharacteristic
488#389C2311yescharacteristic
489#388—21no—
490#388—21no—
491#388—21no—
492#388—21no—
493#388—21no—
494#388—21no—
495#388D411yescharacteristic
496#388D411yescharacteristic
497#386—21no—
498#386—21no—
499#386—21no—
500#386—21no—
501#386—21no—
502#386—21no—
503#386—21no—
504#386—21no—
505#386—21no—
506#386—21no—
507#386—21no—
508#386—21no—
509#386—21no—
510#386—21no—
511#386—21no—
512#386—21no—
513#386—21no—
514#386—21no—
515#386—21no—
516#386—21no—
517#386D411yescharacteristic
518#386D411yescharacteristic
519#385—21no—
520#385—21no—
521#385—21no—
522#385—21no—
523#385—21no—
524#385—21no—
525#385—21no—
526#382C2311yescharacteristic
527#381—21no—
528#380—21no—
529#380—21no—
530#380—21no—
531#380D411yescharacteristic
532#380C2311yescharacteristic
533#380C2311yescharacteristic
534#380C2311yescharacteristic
535#379—21no—
536C4×C4⋊C4C2311yescharacteristic
537C4×C4⋊C4C2311yescharacteristic
538C4×C22⋊C4—21no—
539C4×C22⋊C4—21no—
540C4×C22⋊C4C2311yescharacteristic
541C4×C22⋊C4C2311yescharacteristic
542C2×#95—21no—
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—22no—
565C2×#41—22no—
566C2×#41—22no—
567C2×#41—22no—
568C2×#41—22no—
569C2×#41—22no—
570C2×#41—22no—
571C2×#41—22no—
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—
584C2×#41—41no—
585C22×Q8C2411yescharacteristic
586C22×Q8C2411yescharacteristic
587C22×Q8C2411yescharacteristic
588C22×D4—22no—
589C22×D4—22no—
590C22×D4—21no—
591C22×D4—22no—
592C22×D4—22no—
593C22×D4—22no—
594C22×D4—22no—
595C22×D4—22no—
596C22×D4—21no—
597C22×D4—21no—
598C22×D4—21no—
599C22×D4—21no—
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—22no—
617C22×D4—41no—
618C22×D4—41no—
619C22×D4—41no—
620C22×D4—41no—
621C22×D4—41no—
622C22×D4—41no—
623C22×D4—41no—
624C22×D4—41no—
625C22×D4—41no—
626C22×D4—44no—
627C22×D4—44no—
628C22×D4—82no—
629C22×D4C2×D411yescharacteristic
630C22×D4C2×D414yes—
631C22×D4C2×D411yescharacteristic
632C22×D4C2×D411yescharacteristic
633C22×D4C2411yescharacteristic
634C22×D4C2411yescharacteristic
635C22×D4C2411yescharacteristic
636C22×D4C2411yescharacteristic
637C22×D4C2411yescharacteristic
638C22×D4C2411yescharacteristic
639C23×C4—21no—
640C23×C4—21no—
641C23×C4—21no—
642C23×C4—21no—
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—44no—
653C23×C4—82no—
654C23×C4—82no—
655C23×C4C2×D411yescharacteristic
656C23×C4C2×D411yescharacteristic
657C23×C4C2411yescharacteristic
658C23×C4C2411yescharacteristic
659C23×C4C2411yescharacteristic
660AGL(1,ℤ/8)—416no—
661AGL(1,ℤ/8)—416no—
662AGL(1,ℤ/8)—416no—
663AGL(1,ℤ/8)—416no—
664C2×Q16—22no—
665C2×Q16—22no—
666C2×Q16—41no—
667C2×Q16—41no—
668C2×Q16—41no—
669C2×Q16—41no—
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×SD16C2×D414yes—
697C2×D8—22no—
698C2×D8—22no—
699C2×D8—22no—
700C2×D8—22no—
701C2×D8—22no—
702C2×D8—22no—
703C2×D8—22no—
704C2×D8—22no—
705C2×D8—22no—
706C2×D8—22no—
707C2×D8—22no—
708C2×D8—22no—
709C2×D8—22no—
710C2×D8—22no—
711C2×D8—22no—
712C2×D8—41no—
713C2×D8—41no—
714C2×D8—41no—
715C2×D8—41no—
716C2×D8—41no—
717C2×D8—41no—
718C2×D8—41no—
719C2×D8—41no—
720C2×D8—41no—
721C2×D8C2×D414yes—
722C2×D8C2×D414yes—
723C2×D8C2×D414yes—
724C2×M16—22no—
725C2×M16—22no—
726C2×M16—22no—
727C2×M16—22no—
728C2×M16—22no—
729C2×M16—22no—
730C2×M16—22no—
731C2×M16—22no—
732C2×M16—41no—
733C2×M16—41no—
734C2×M16—41no—
735C2×M16—41no—
736C22×C8C2411yescharacteristic
737C22×C8C2411yescharacteristic
738C22×C8C2411yescharacteristic
739C22×C8C2411yescharacteristic
740C22×C8C2411yescharacteristic
741C22×C8C2411yescharacteristic
742C22×C8C2411yescharacteristic
743C22×C8C2411yescharacteristic
744C4⋊Q8—22no—
745C4⋊Q8—41no—
746#127—22no—
747#127—22no—
748#127—22no—
749#127—41no—
750#127—41no—
751#127—41no—
752#127—44no—
753#124—22no—
754#124—22no—
755#124—22no—
756#124—22no—
757#124—22no—
758#124—22no—
759#124—22no—
760#124—41no—
761#124—41no—
762#124C2×D414yescomplemented
763#123—44no—
764#123—44no—
765#123—44no—
766#123—44no—
767C22⋊Q8—22no—
768C22⋊Q8—22no—
769C22⋊Q8—22no—
770C22⋊Q8—22no—
771C22⋊Q8—22no—
772C22⋊Q8—41no—
773C22⋊Q8—41no—
774C22⋊Q8—41no—
775C22⋊Q8—41no—
776C22⋊Q8—41no—
777#121—22no—
778#121—22no—
779#121—22no—
780#121—22no—
781#121—22no—
782#121—22no—
783#121—22no—
784#121—22no—
785#121—44no—
786#121—44no—
787#121—42no—
788#121—44no—
789#121—44no—
790#121—44no—
791#121—44no—
792#121—44no—
793#121—44no—
794#121—41no—
795#121—41no—
796#121—41no—
797#121—41no—
798#121—41no—
799#121—44no—
800#121—41no—
801#121—41no—
802#121—82no—
803#121—82no—
804#121—82no—
805#121C2×D414yes—
806#120—44no—
807#120—44no—
808#120—44no—
809#120—44no—
810#120—44no—
811#120—44no—
812#120—44no—
813#120—82no—
814C4×Q8—22no—
815C4×Q8—41no—
816C4×D4—22no—
817C4×D4—22no—
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—22no—
832C4×D4—44no—
833C4×D4—44no—
834C4×D4—44no—
835C4×D4—41no—
836C4×D4—41no—
837C4×D4—41no—
838C4×D4—41no—
839C4×D4—41no—
840C4×D4—44no—
841C4×D4—44no—
842C4×D4—82no—
843C4×D4C2×D414yes—
844C2×C4⋊C4—22no—
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—41no—
858C2×C4⋊C4C2×D411yescharacteristic
859C2×C4⋊C4C2×D411yescharacteristic
860C2×C4⋊C4C2×D411yescharacteristic
861C2×C4⋊C4C2×D411yescharacteristic
862C2×C4⋊C4C2×D411yescharacteristic
863C2×C4⋊C4C2411yescharacteristic
864C2×C4⋊C4C2411yescharacteristic
865C2×C4⋊C4C2411yescharacteristic
866C2×C4⋊C4C2411yescharacteristic
867C2×C4⋊C4C2411yescharacteristic
868C2×C4⋊C4C2411yescharacteristic
869C2×C4⋊C4C2411yescharacteristic
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—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—44no—
915C2×C22⋊C4—44no—
916C2×C22⋊C4—44no—
917C2×C22⋊C4—44no—
918C2×C22⋊C4—44no—
919C2×C22⋊C4—82no—
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×C42—22no—
931C2×C42—22no—
932C2×C42—21no—
933C2×C42—21no—
934C2×C42C2×D411yescharacteristic
935C2×C42C2×D411yescharacteristic
936C2×C42C2411yescharacteristic
937C2×C42C2411yescharacteristic
938C2×C42C2411yescharacteristic
939C2×C42C2411yescharacteristic
940#107—22no—
941#107—22no—
942#107—41no—
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—41no—
958#103—41no—
959#103—41no—
960#103C2×D414yescomplemented
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—22no—
973#102—41no—
974#102—41no—
975#102—41no—
976#102—41no—
977#102—41no—
978#102—41no—
979#102C2×D414yes—
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×D414yes—
990C4×C8—22no—
991C4×C8—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—21no—
1020C24—21no—
1021C24—24no—
1022C24—21no—
1023C24—21no—
1024C24—42no—
1025C24—42no—
1026C24—42no—
1027C24—42no—
1028C24—42no—
1029C24—42no—
1030C24—42no—
1031C24—42no—
1032C24—42no—
1033C24—42no—
1034C24—42no—
1035C24—81no—
1036C24—81no—
1037C24—81no—
1038C24—81no—
1039C24—81no—
1040C24—81no—
1041C24—81no—
1042C24—81no—
1043C24—81no—
1044C24C22×D411yescharacteristic
1045C24C22×D411yescharacteristic
1046C24C22×D411yescharacteristic
1047#41—44no—
1048#41—44no—
1049#41—44no—
1050#41—44no—
1051#41—44no—
1052#41—44no—
1053#41—82no—
1054#41—82no—
1055#41—82no—
1056#41—82no—
1057#41—82no—
1058#41—82no—
1059#41—82no—
1060#41—82no—
1061#41—82no—
1062#41—82no—
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—21no—
1073C2×Q8—21no—
1074C2×Q8—21no—
1075C2×Q8—21no—
1076C2×Q8—21no—
1077C2×Q8—21no—
1078C2×Q8—21no—
1079C2×Q8—21no—
1080C2×Q8C22×D412yes—
1081C2×D4—28no—
1082C2×D4—22no—
1083C2×D4—22no—
1084C2×D4—24no—
1085C2×D4—24no—
1086C2×D4—22no—
1087C2×D4—22no—
1088C2×D4—21no—
1089C2×D4—21no—
1090C2×D4—21no—
1091C2×D4—21no—
1092C2×D4—21no—
1093C2×D4—21no—
1094C2×D4—21no—
1095C2×D4—21no—
1096C2×D4—21no—
1097C2×D4—21no—
1098C2×D4—21no—
1099C2×D4—21no—
1100C2×D4—21no—
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—44no—
1119C2×D4—44no—
1120C2×D4—44no—
1121C2×D4—41no—
1122C2×D4—42no—
1123C2×D4—42no—
1124C2×D4—41no—
1125C2×D4—41no—
1126C2×D4—41no—
1127C2×D4—41no—
1128C2×D4—42no—
1129C2×D4—42no—
1130C2×D4—42no—
1131C2×D4—42no—
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—42no—
1141C2×D4—42no—
1142C2×D4—42no—
1143C2×D4—42no—
1144C2×D4—44no—
1145C2×D4—44no—
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—42no—
1159C2×D4—42no—
1160C2×D4—42no—
1161C2×D4—42no—
1162C2×D4—42no—
1163C2×D4—42no—
1164C2×D4—81no—
1165C2×D4—81no—
1166C2×D4—81no—
1167C2×D4—81no—
1168C2×D4—81no—
1169C2×D4—81no—
1170C2×D4—81no—
1171C2×D4—81no—
1172C2×D4—81no—
1173C2×D4—82no—
1174C2×D4—82no—
1175C2×D4—82no—
1176C2×D4—82no—
1177C2×D4—82no—
1178C2×D4—82no—
1179C2×D4—81no—
1180C2×D4—81no—
1181C2×D4—81no—
1182C2×D4—81no—
1183C2×D4—81no—
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—816no—
1196C2×D4C22×D412yes—
1197C2×D4C22×D412yes—
1198C2×D4C22×D412yes—
1199C2×D4C22×D412yes—
1200C2×D4C22×D412yes—
1201C2×D4H(5,𝔽2)12yes—
1202C22×C4—21no—
1203C22×C4—21no—
1204C22×C4—21no—
1205C22×C4—21no—
1206C22×C4—21no—
1207C22×C4—21no—
1208C22×C4—21no—
1209C22×C4—22no—
1210C22×C4—22no—
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—22no—
1224C22×C4—24no—
1225C22×C4—21no—
1226C22×C4—21no—
1227C22×C4—21no—
1228C22×C4—21no—
1229C22×C4—21no—
1230C22×C4—21no—
1231C22×C4—21no—
1232C22×C4—41no—
1233C22×C4—41no—
1234C22×C4—41no—
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—42no—
1247C22×C4—42no—
1248C22×C4—42no—
1249C22×C4—42no—
1250C22×C4—42no—
1251C22×C4—42no—
1252C22×C4—42no—
1253C22×C4—42no—
1254C22×C4—42no—
1255C22×C4—42no—
1256C22×C4—81no—
1257C22×C4—81no—
1258C22×C4—81no—
1259C22×C4—81no—
1260C22×C4—81no—
1261C22×C4—81no—
1262C22×C4—81no—
1263C22×C4—81no—
1264C22×C4—81no—
1265C22×C4—81no—
1266C22×C4—81no—
1267C22×C4—81no—
1268C22×C4—81no—
1269C22×C4—81no—
1270C22×C4—81no—
1271C22×C4—81no—
1272C22×C4—81no—
1273C22×C4—816no—
1274C22×C4C22×D411yescharacteristic
1275C22×C4C22×D411yescharacteristic
1276C22×C4C22×D411yescharacteristic
1277C22×C4C22×D411yescharacteristic
1278C22×C4C22×D411yescharacteristic
1279C22×C4C22×D411yescharacteristic
1280C22×C4C22×D411yescharacteristic
1281C22×C4C22×D411yescharacteristic
1282C22×C4C22×D411yescharacteristic
1283C22×C4C22×D412yes—
1284C22×C4C22×D411yescharacteristic
1285C22×C4C22×D411yescharacteristic
1286C22×C4H(5,𝔽2)12yes—
1287C22×C4C2511yescharacteristic
1288Q16—82no—
1289Q16—82no—
1290SD16—28no—
1291SD16—44no—
1292SD16—44no—
1293SD16—44no—
1294SD16—44no—
1295SD16—44no—
1296SD16—44no—
1297SD16—82no—
1298SD16—82no—
1299D8—28no—
1300D8—28no—
1301D8—44no—
1302D8—44no—
1303D8—44no—
1304D8—44no—
1305D8—44no—
1306D8—82no—
1307D8—82no—
1308M16—44no—
1309M16—44no—
1310M16—44no—
1311M16—44no—
1312C2×C8—21no—
1313C2×C8—21no—
1314C2×C8—21no—
1315C2×C8—21no—
1316C2×C8—21no—
1317C2×C8—21no—
1318C2×C8—21no—
1319C2×C8—21no—
1320C2×C8—21no—
1321C2×C8—21no—
1322C2×C8—21no—
1323C2×C8—21no—
1324C2×C8—21no—
1325C2×C8—21no—
1326C2×C8—21no—
1327C2×C8—21no—
1328C2×C8—21no—
1329C2×C8—21no—
1330C2×C8—21no—
1331C2×C8—21no—
1332C2×C8C22×D412yes—
1333C2×C8C22×D412yes—
1334C2×C8C22×D412yes—
1335C2×C8C22×D412yes—
1336C4⋊C4—22no—
1337C4⋊C4—22no—
1338C4⋊C4—22no—
1339C4⋊C4—22no—
1340C4⋊C4—21no—
1341C4⋊C4—21no—
1342C4⋊C4—21no—
1343C4⋊C4—21no—
1344C4⋊C4—21no—
1345C4⋊C4—21no—
1346C4⋊C4—21no—
1347C4⋊C4—21no—
1348C4⋊C4—21no—
1349C4⋊C4—21no—
1350C4⋊C4—21no—
1351C4⋊C4—21no—
1352C4⋊C4—41no—
1353C4⋊C4—42no—
1354C4⋊C4—42no—
1355C4⋊C4—42no—
1356C4⋊C4—42no—
1357C4⋊C4—42no—
1358C4⋊C4—42no—
1359C4⋊C4—42no—
1360C4⋊C4—42no—
1361C4⋊C4—42no—
1362C4⋊C4—81no—
1363C4⋊C4—81no—
1364C4⋊C4—81no—
1365C4⋊C4C22×D412yes—
1366C4⋊C4C22×D412yes—
1367C22⋊C4—22no—
1368C22⋊C4—22no—
1369C22⋊C4—24no—
1370C22⋊C4—24no—
1371C22⋊C4—24no—
1372C22⋊C4—24no—
1373C22⋊C4—22no—
1374C22⋊C4—22no—
1375C22⋊C4—22no—
1376C22⋊C4—22no—
1377C22⋊C4—22no—
1378C22⋊C4—22no—
1379C22⋊C4—22no—
1380C22⋊C4—41no—
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—42no—
1400C22⋊C4—42no—
1401C22⋊C4—42no—
1402C22⋊C4—42no—
1403C22⋊C4—42no—
1404C22⋊C4—42no—
1405C22⋊C4—42no—
1406C22⋊C4—42no—
1407C22⋊C4—42no—
1408C22⋊C4—42no—
1409C22⋊C4—42no—
1410C22⋊C4—81no—
1411C22⋊C4—81no—
1412C22⋊C4—81no—
1413C22⋊C4—81no—
1414C22⋊C4—81no—
1415C22⋊C4—81no—
1416C22⋊C4—81no—
1417C22⋊C4—81no—
1418C22⋊C4—81no—
1419C22⋊C4—81no—
1420C22⋊C4—81no—
1421C42—22no—
1422C42—22no—
1423C42—21no—
1424C42—21no—
1425C42—21no—
1426C42—21no—
1427C42—21no—
1428C42—21no—
1429C42—42no—
1430C42—81no—
1431C42C22×D412yes—
1432C42H(5,𝔽2)12yes—
1433C23—21no—
1434C23—21no—
1435C23—22no—
1436C23—22no—
1437C23—21no—
1438C23—21no—
1439C23—22no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—22no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—22no—
1451C23—21no—
1452C23—22no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—48no—
1460C23—48no—
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—41no—
1479C23—41no—
1480C23—41no—
1481C23—41no—
1482C23—41no—
1483C23—41no—
1484C23—41no—
1485C23—41no—
1486C23—41no—
1487C23—41no—
1488C23—41no—
1489C23—41no—
1490C23—41no—
1491C23—41no—
1492C23—41no—
1493C23—41no—
1494C23—41no—
1495C23—41no—
1496C23—41no—
1497C23—84no—
1498C23—84no—
1499C23—84no—
1500C23—84no—
1501C23—84no—
1502C23—84no—
1503C23—84no—
1504C23—84no—
1505C23—84no—
1506C23—84no—
1507C23—84no—
1508C23—84no—
1509C23—162no—
1510C23—162no—
1511C23—162no—
1512C23—162no—
1513C23—162no—
1514C23—162no—
1515C23—162no—
1516C23D4212yes—
1517C23C23×D411yescharacteristic
1518Q8—22no—
1519Q8—22no—
1520Q8—41no—
1521Q8—41no—
1522Q8—41no—
1523Q8—41no—
1524Q8—41no—
1525Q8—41no—
1526Q8—41no—
1527Q8—41no—
1528Q8—41no—
1529Q8—41no—
1530D4—22no—
1531D4—22no—
1532D4—22no—
1533D4—22no—
1534D4—22no—
1535D4—22no—
1536D4—22no—
1537D4—22no—
1538D4—22no—
1539D4—48no—
1540D4—44no—
1541D4—41no—
1542D4—41no—
1543D4—41no—
1544D4—41no—
1545D4—41no—
1546D4—41no—
1547D4—41no—
1548D4—41no—
1549D4—41no—
1550D4—41no—
1551D4—41no—
1552D4—41no—
1553D4—41no—
1554D4—41no—
1555D4—82no—
1556D4—84no—
1557D4—84no—
1558D4—84no—
1559D4—82no—
1560D4—84no—
1561D4—84no—
1562D4—84no—
1563D4—84no—
1564D4—84no—
1565D4—84no—
1566D4—84no—
1567D4—84no—
1568D4—84no—
1569D4—84no—
1570D4—162no—
1571D4—162no—
1572D4—162no—
1573D4—162no—
1574D4—162no—
1575D4—162no—
1576D4—162no—
1577D4D4214yes—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—21no—
1603C2×C4—22no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—44no—
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—41no—
1637C2×C4—41no—
1638C2×C4—41no—
1639C2×C4—41no—
1640C2×C4—41no—
1641C2×C4—41no—
1642C2×C4—41no—
1643C2×C4—41no—
1644C2×C4—41no—
1645C2×C4—41no—
1646C2×C4—41no—
1647C2×C4—41no—
1648C2×C4—41no—
1649C2×C4—82no—
1650C2×C4—84no—
1651C2×C4—84no—
1652C2×C4—84no—
1653C2×C4—84no—
1654C2×C4—84no—
1655C2×C4—84no—
1656C2×C4—84no—
1657C2×C4—84no—
1658C2×C4—84no—
1659C2×C4—84no—
1660C2×C4—162no—
1661C2×C4—162no—
1662C2×C4—162no—
1663C2×C4D4212yes—
1664C2×C4D4212yes—
1665C2×C4D4212yes—
1666C2×C4#57512yes—
1667C2×C4#57612yes—
1668C2×C4C23×D411yescharacteristic
1669C2×C4C23×D411yescharacteristic
1670C2×C4C2×H(5,𝔽2)11yescharacteristic
1671C2×C4C2×H(5,𝔽2)11yescharacteristic
1672C2×C4C2×H(5,𝔽2)11yescharacteristic
1673C2×C4#58511yescharacteristic
1674C8—22no—
1675C8—22no—
1676C8—22no—
1677C8—22no—
1678C8—41no—
1679C8—41no—
1680C8—41no—
1681C8—41no—
1682C22—22no—
1683C22—24no—
1684C22—22no—
1685C22—22no—
1686C22—41no—
1687C22—42no—
1688C22—41no—
1689C22—42no—
1690C22—41no—
1691C22—42no—
1692C22—42no—
1693C22—41no—
1694C22—42no—
1695C22—42no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—42no—
1703C22—41no—
1704C22—41no—
1705C22—42no—
1706C22—42no—
1707C22—42no—
1708C22—41no—
1709C22—42no—
1710C22—41no—
1711C22—42no—
1712C22—42no—
1713C22—41no—
1714C22—41no—
1715C22—42no—
1716C22—41no—
1717C22—41no—
1718C22—42no—
1719C22—816no—
1720C22—81no—
1721C22—81no—
1722C22—81no—
1723C22—81no—
1724C22—81no—
1725C22—81no—
1726C22—81no—
1727C22—81no—
1728C22—81no—
1729C22—81no—
1730C22—81no—
1731C22—81no—
1732C22—81no—
1733C22—81no—
1734C22—81no—
1735C22—81no—
1736C22—81no—
1737C22—81no—
1738C22—81no—
1739C22—81no—
1740C22—81no—
1741C22—81no—
1742C22—81no—
1743C22—81no—
1744C22—81no—
1745C22—81no—
1746C22—168no—
1747C22—168no—
1748C22C2×D4211yescharacteristic
1749C22C2×D4211yescharacteristic
1750C22#348811yescharacteristic
1751C22C2×#57511yescharacteristic
1752C22C2×#57611yescharacteristic
1753C22#358411yescharacteristic
1754C22#358511yescharacteristic
1755C4—22no—
1756C4—22no—
1757C4—22no—
1758C4—22no—
1759C4—22no—
1760C4—41no—
1761C4—41no—
1762C4—41no—
1763C4—42no—
1764C4—41no—
1765C4—42no—
1766C4—41no—
1767C4—41no—
1768C4—42no—
1769C4—81no—
1770C4—81no—
1771C4—81no—
1772C4—81no—
1773C4—81no—
1774C4—81no—
1775C4—81no—
1776C4C2×D4211yescharacteristic
1777C4#348811yescharacteristic
1778C4#349611yescharacteristic
1779C4#353711yescharacteristic
1780C2—42no—
1781C2—44no—
1782C2—81no—
1783C2—81no—
1784C2—82no—
1785C2—82no—
1786C2—82no—
1787C2—161no—
1788C2—161no—
1789C2#5899711yescharacteristic
1790C2#6103811yescharacteristic
1791C2#6106611yescharacteristic
1792C2#6107211yescharacteristic
1793C2#6108411yescharacteristic
1794C2#6199511yescharacteristic
1795C2#6202711yescharacteristic
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×#3274C2semidirect
2. C2×#3273C2semidirect
3. C2×#3273C2semidirect
4. C2×#3036C2semidirect
5. #59129C2semidirect
6. #36214C2semidirect
7. #30860C2semidirect
8. #30855C2semidirect
9. #30455C2semidirect
10. #30444C2semidirect
11. #28465C2semidirect
12. #25762C2semidirect
13. #25723C2semidirect
14. #25390C2semidirect
15. #25372C2semidirect
16. #25154C2semidirect
17. #25148C2semidirect
18. #25139C2semidirect
19. #25137C2semidirect
20. #24756C2semidirect
21. #24735C2semidirect
22. #24444C2semidirect
23. #24443C2semidirect
24. #24372C2semidirect
25. #24367C2semidirect
26. #24245C2semidirect
27. #23863C2semidirect
28. #23860C2semidirect
29. #22999C2semidirect
30. #22990C2semidirect
31. C4×#447C2semidirect
35. C22×AGL(1,ℤ/8)C22semidirect
39. C2×#546C22semidirect
40. C2×#546C22semidirect
41. C2×D42C22semidirect
42. C2×#532C22semidirect
43. C22×C4×D4C22semidirect
47. C2×#495C22semidirect
48. C2×#495C22semidirect
49. C2×#495C22semidirect
52. C2×#469C22semidirect
53. C2×#468C22semidirect
54. C2×#468C22semidirect
55. C2×#468C22semidirect
56. C2×#468C22semidirect
58. C2×#460C22semidirect
61. C2×#463C22semidirect
62. C2×#463C22semidirect
63. C2×#463C22semidirect
64. C2×#463C22semidirect
65. C2×#463C22semidirect
66. C2×#461C22semidirect
67. C2×#461C22semidirect
70. C2×#459C22semidirect
73. C2×#452C22semidirect
74. C2×#452C22semidirect
75. C2×#452C22semidirect
79. C2×#449C22semidirect
80. C2×#450C22semidirect
83. C2×#447C22semidirect
84. C2×#447C22semidirect
85. C2×#447C22semidirect
86. C2×C4×SD16C22semidirect
89. C2×C4×D8C22semidirect
90. C2×#436C22semidirect
91. C2×#436C22semidirect
92. C2×#436C22semidirect
93. C2×#423C22semidirect
94. C2×#417C22semidirect
95. C2×#417C22semidirect
96. #2850C22semidirect
100. #2544C22semidirect
101. #2544C22semidirect
103. #2540C22semidirect
108. #2433C22semidirect
109. #2432C22semidirect
110. #2429C22semidirect
113. #2428C22semidirect
114. #2427C22semidirect
119. #2417C22semidirect
124. #2407C22semidirect
125. #2367C22semidirect
127. #2349C22semidirect
129. D4×C22⋊C4C22semidirect
131. C4×#121C22semidirect
133. #2068C22semidirect
134. #2067C22semidirect
135. #2067C22semidirect
136. #2066C22semidirect
137. #2055C22semidirect
138. #2055C22semidirect
139. #2055C22semidirect
140. #2054C22semidirect
141. #2042C22semidirect
142. #2041C22semidirect
143. #2036C22semidirect
144. #2035C22semidirect
145. #2033C22semidirect
146. #2033C22semidirect
147. #2016C22semidirect
148. #2015C22semidirect
149. #2014C22semidirect
150. #2014C22semidirect
151. #2014C22semidirect
152. #2013C22semidirect
153. #2012C22semidirect
154. #2012C22semidirect
156. #2011C22semidirect
157. #2001C22semidirect
158. #2000C22semidirect
159. #2000C22semidirect
160. #2000C22semidirect
161. #2000C22semidirect
163. #1999C22semidirect
164. #1999C22semidirect
165. #1983C22semidirect
166. #1970C22semidirect
167. #1969C22semidirect
168. #1958C22semidirect
169. #1958C22semidirect
170. #1954C22semidirect
171. #1949C22semidirect
172. #1939C22semidirect
173. #1934C22semidirect
174. #1933C22semidirect
175. #1923C22semidirect
176. #1923C22semidirect
177. #1895C22semidirect
178. #1895C22semidirect
179. #1894C22semidirect
180. #1894C22semidirect
183. #1879C22semidirect
184. #1879C22semidirect
185. #1879C22semidirect
186. #1878C22semidirect
187. #1877C22semidirect
188. #1877C22semidirect
189. #1874C22semidirect
190. #1870C22semidirect
191. #1870C22semidirect
192. #1864C22semidirect
193. #1863C22semidirect
194. #1862C22semidirect
195. #1862C22semidirect
196. #1852C22semidirect
197. #1851C22semidirect
198. #1851C22semidirect
199. #1804C22semidirect
200. #1788C22semidirect
201. #1786C22semidirect
202. #1786C22semidirect
203. C8×C4⋊C4C22semidirect
204. C4×#102C22semidirect
205. C4×#102C22semidirect
206. C4×C22⋊C8C22semidirect
358. #463D4semidirect
379. #447D4semidirect
762. #124C2×D4semidirect
949. C4⋊C8C2×D4semidirect
960. #103C2×D4semidirect
981. #102C2×D4semidirect

Maximal subgroups

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

subgroupindex
C2×#32742
C2×#32732
C2×#30362
#591292
#362142
#308602
#308552
#304552
#304442
#284652
#257622
#257232
#253902
#253722
#251542
#251482
#251392
#251372
#247562
#247352
#244442
#244432
#243722
#243672
#242452
#238632
#238602
#229992
#229902
C4×#4472