Finite Group Databasebeta

← #6499834

Subgroups — #6499834

Order 512.

4090 conjugacy classes of subgroups.

The subgroup lattice has 1945 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3542C211yesmaximal, characteristic, complemented
2C2×#3013C211yesmaximal, characteristic, complemented
3C2×#3010C211yesmaximal, characteristic, complemented
4#35659C211yesmaximal, characteristic, complemented
5#23983C211yesmaximal, characteristic, complemented
6#23977C211yesmaximal, characteristic, complemented
7#23975C211yesmaximal, characteristic, complemented
8#23972C211yesmaximal, characteristic, complemented
9#23971C211yesmaximal, characteristic, complemented
10#23965C211yesmaximal, characteristic, complemented
11#23964C211yesmaximal, characteristic, complemented
12#23961C211yesmaximal, characteristic, complemented
13#23947C211yesmaximal, characteristic, complemented
14#23946C211yesmaximal, characteristic, complemented
15#23941C211yesmaximal, characteristic, complemented
16#23940C211yesmaximal, characteristic, complemented
17#23923C211yesmaximal, characteristic, complemented
18#23922C211yesmaximal, characteristic, complemented
19#23920C211yesmaximal, characteristic, complemented
20#23919C211yesmaximal, characteristic, complemented
21#23870C211yesmaximal, characteristic, complemented
22#23863C211yesmaximal, characteristic, complemented
23#23862C211yesmaximal, characteristic, complemented
24#23860C211yesmaximal, characteristic, complemented
25#23857C211yesmaximal, characteristic, complemented
26#23852C211yesmaximal, characteristic, complemented
27#23850C211yesmaximal, characteristic, complemented
28#23849C211yesmaximal, characteristic, complemented
29#21772C211yesmaximal, characteristic, complemented
30#21770C211yesmaximal, characteristic, complemented
31#21744C211yesmaximal, characteristic, complemented
32C22×2−1+4C2211yescharacteristic, complemented
33C22×#137C2211yescharacteristic, complemented
34C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
35C22×#135C2211yescharacteristic, complemented
36C23×SD16C2211yescharacteristic, complemented
37#3542—28no—
38#3542—28no—
39C2×#562—21no—
40C2×#560—21no—
41C2×#555C2211yescharacteristic
42C2×#553C2211yescharacteristic
43C2×#552C2211yescharacteristic
44C2×#551—21no—
45C2×#550C2211yescharacteristic
46C2×#547C2211yescharacteristic
47C2×#546—21no—
48C2×#546C2211yescharacteristic
49C2×#546C2211yescharacteristic
50C2×D42C2211yescharacteristic
51C2×#542C2211yescharacteristic
52C2×#540—21no—
53C2×#540C2211yescharacteristic
54C2×#538—21no—
55C2×#537C2211yescharacteristic
56C2×#535—21no—
57C2×#535C2211yescharacteristic
58C2×#534—21no—
59C2×#525C2211yescharacteristic
60C2×#525C2211yescharacteristic
61C2×#525C2211yescharacteristic, complemented
62C22×C22⋊Q8C2211yescharacteristic, complemented
63C22×#121C2211yescharacteristic
64#3013—28no—
65#3010—28no—
66C2×#452C2211yescharacteristic, complemented
67C2×#452C2211yescharacteristic, complemented
68C2×#452C2211yescharacteristic, complemented
69C2×#452C2211yescharacteristic, complemented
70C2×#452C2211yescharacteristic, complemented
71C2×#449C2211yescharacteristic
72C2×#449C2211yescharacteristic, complemented
73C2×#449C2211yescharacteristic, complemented
74C2×#449C2211yescharacteristic, complemented
75C2×#449C2211yescharacteristic, complemented
76C2×#449C2211yescharacteristic, complemented
77C2×#449C2211yescharacteristic, complemented
78C2×#451C2211yescharacteristic, complemented
79C2×#451C2211yescharacteristic, complemented
80C2×#448C2211yescharacteristic
81C2×#448C2211yescharacteristic, complemented
82C2×#448C2211yescharacteristic, complemented
83C2×#448C2211yescharacteristic, complemented
84C2×#448C2211yescharacteristic, complemented
85C2×#448C2211yescharacteristic, complemented
86C2×#450C2211yescharacteristic
87C2×#450C2211yescharacteristic
88C2×#450C2211yescharacteristic
89C2×#447C2211yescharacteristic
90C2×#417C2211yescharacteristic, complemented
91C2×#419C2211yescharacteristic, complemented
92C2×#416C2211yescharacteristic, complemented
93C22×#103C2211yescharacteristic, complemented
94C2×#408C2211yescharacteristic, complemented
95C2×#408C2211yescharacteristic, complemented
96#2409—21no—
97#2409—21no—
98#2409C2211yescharacteristic
99#2409C2211yescharacteristic, complemented
100#2409C2211yescharacteristic, complemented
101#2409C2211yescharacteristic, complemented
102#2407—21no—
103#2407—21no—
104#2407C2211yescharacteristic
105#2407C2211yescharacteristic, complemented
106#2407C2211yescharacteristic, complemented
107#2407C2211yescharacteristic, complemented
108#2406—21no—
109#2406—21no—
110#2404—21no—
111#2404—21no—
112#2311C2211yescharacteristic, complemented
113#2311C2211yescharacteristic, complemented
114#2310C2211yescharacteristic, complemented
115#2026C2211yescharacteristic, complemented
116#2026C2211yescharacteristic, complemented
117#2026C2211yescharacteristic, complemented
118#2025C2211yescharacteristic, complemented
119#2024C2211yescharacteristic, complemented
120#2024C2211yescharacteristic, complemented
121#2024C2211yescharacteristic, complemented
122#2023C2211yescharacteristic, complemented
123#2015C2211yescharacteristic, complemented
124#2015C2211yescharacteristic, complemented
125#2015C2211yescharacteristic, complemented
126#2014C2211yescharacteristic, complemented
127#2014C2211yescharacteristic, complemented
128#2014C2211yescharacteristic, complemented
129#2012C2211yescharacteristic, complemented
130#2011C2211yescharacteristic, complemented
131#2001C2211yescharacteristic, complemented
132#2001C2211yescharacteristic, complemented
133#2001C2211yescharacteristic, complemented
134#2000C2211yescharacteristic
135#2000C2211yescharacteristic
136#2000C2211yescharacteristic
137#2000C2211yescharacteristic
138#2000C2211yescharacteristic
139#2000C2211yescharacteristic
140#2000C2211yescharacteristic, complemented
141#2000C2211yescharacteristic, complemented
142#2000C2211yescharacteristic, complemented
143#2000C2211yescharacteristic, complemented
144#1999C2211yescharacteristic
145#1999C2211yescharacteristic
146#1999C2211yescharacteristic, complemented
147#1895C2211yescharacteristic, complemented
148#1895C2211yescharacteristic, complemented
149#1895C2211yescharacteristic, complemented
150#1894C2211yescharacteristic, complemented
151#1893C2211yescharacteristic, complemented
152#1893C2211yescharacteristic, complemented
153#1893C2211yescharacteristic, complemented
154#1892C2211yescharacteristic, complemented
155#1880C2211yescharacteristic, complemented
156#1879C2211yescharacteristic, complemented
157#1879C2211yescharacteristic, complemented
158#1879C2211yescharacteristic, complemented
159#1878C2211yescharacteristic, complemented
160#1878C2211yescharacteristic, complemented
161#1878C2211yescharacteristic, complemented
162#1877C2211yescharacteristic, complemented
163#1877C2211yescharacteristic, complemented
164#1877C2211yescharacteristic, complemented
165#1877C2211yescharacteristic, complemented
166#1877C2211yescharacteristic, complemented
167#1877C2211yescharacteristic, complemented
168#1877C2211yescharacteristic, complemented
169#1877C2211yescharacteristic, complemented
170#1877C2211yescharacteristic, complemented
171#1875C2211yescharacteristic
172#1875C2211yescharacteristic, complemented
173#1875C2211yescharacteristic, complemented
174#1875C2211yescharacteristic, complemented
175#1874C2211yescharacteristic
176#1874C2211yescharacteristic, complemented
177#1874C2211yescharacteristic, complemented
178#1874C2211yescharacteristic, complemented
179#1873C2211yescharacteristic, complemented
180#1873C2211yescharacteristic, complemented
181#1873C2211yescharacteristic, complemented
182#1873C2211yescharacteristic, complemented
183#1872C2211yescharacteristic, complemented
184#1872C2211yescharacteristic, complemented
185#1872C2211yescharacteristic, complemented
186#1872C2211yescharacteristic, complemented
187#1870C2211yescharacteristic
188#1870C2211yescharacteristic, complemented
189#1870C2211yescharacteristic, complemented
190#1870C2211yescharacteristic, complemented
191#1869C2211yescharacteristic
192#1869C2211yescharacteristic, complemented
193#1869C2211yescharacteristic, complemented
194#1869C2211yescharacteristic, complemented
195#1825C2211yescharacteristic, complemented
196#1825C2211yescharacteristic, complemented
197#1824C2211yescharacteristic, complemented
198#1823C2211yescharacteristic, complemented
199#1818C2211yescharacteristic, complemented
200#1818C2211yescharacteristic, complemented
201#1788C2211yescharacteristic, complemented
202#1788C2211yescharacteristic, complemented
203#1786C2211yescharacteristic, complemented
204#1786C2211yescharacteristic, complemented
205#1779C2211yescharacteristic, complemented
206#1779C2211yescharacteristic, complemented
207C2×2−1+4—24no—
208C2×2−1+4—24no—
209C2×2−1+4—42no—
210C2×2−1+4—42no—
211C2×2−1+4—42no—
212C2×2−1+4—42no—
213C22×#41—21no—
214C22×#41—21no—
215C22×#41—21no—
216C22×#41—21no—
217C22×#41C2311yescharacteristic
218C22×#41C2311yescharacteristic
219C22×#41C2311yescharacteristic
220C22×#41C2311yescharacteristic
221C22×#41C2311yescharacteristic
222C22×#41C2311yescharacteristic
223C23×Q8—21no—
224C23×Q8C2311yescharacteristic
225C23×Q8C2311yescharacteristic
226C23×Q8C2311yescharacteristic
227C23×D4—21no—
228C23×D4—21no—
229C23×D4C2311yescharacteristic
230C23×D4C2311yescharacteristic
231C24×C4C2311yescharacteristic
232C2×#137—24no—
233C2×#137—42no—
234C2×#137—42no—
235C2×AGL(1,ℤ/8)—24no—
236C2×AGL(1,ℤ/8)—42no—
237C2×AGL(1,ℤ/8)—42no—
238C2×#135—24no—
239C2×#135—42no—
240C2×#135—42no—
241C22×Q16C2311yescharacteristic
242C22×Q16C2311yescharacteristic
243C22×Q16C2311yescharacteristic
244C22×SD16—24no—
245C22×SD16—42no—
246C22×SD16—42no—
247C22×SD16C2311yescharacteristic
248C22×SD16C2311yescharacteristic
249C22×SD16C2311yescharacteristic
250C22×SD16C2311yescharacteristic
251C22×SD16C2311yescharacteristic
252C22×SD16C2311yescharacteristic
253C22×SD16C2311yescharacteristic
254C22×SD16C2311yescharacteristic
255C22×SD16C2311yescharacteristic
256C22×SD16C2311yescharacteristic
257C22×D8C2311yescharacteristic
258C22×D8C2311yescharacteristic
259C22×D8C2311yescharacteristic
260C22×M16C2311yescharacteristic
261C22×M16C2311yescharacteristic
262C23×C8C2311yescharacteristic
263C23×C8C2311yescharacteristic
264#562—216no—
265#560—216no—
266#555—24no—
267#555—24no—
268#553—24no—
269#553—24no—
270#552—24no—
271#552—24no—
272#551—216no—
273#550—24no—
274#550—24no—
275#547—24no—
276#547—24no—
277#546—216no—
278#546—24no—
279#546—24no—
280#546—24no—
281#546—24no—
282D42—24no—
283D42—24no—
284#542—24no—
285#542—24no—
286#540—216no—
287#540—24no—
288#540—24no—
289#538—216no—
290#537—24no—
291#537D418yescomplemented
292#535—216no—
293#535—24no—
294#535D418yescomplemented
295#534—216no—
296C2×C4⋊Q8C2311yescharacteristic
297C2×#127—21no—
298C2×#127—21no—
299C2×#127C2311yescharacteristic
300C2×#126—21no—
301C2×#126—21no—
302C2×#126—21no—
303C2×#125—21no—
304C2×#125C2311yescharacteristic
305C2×#124—21no—
306C2×#124—21no—
307C2×#124—21no—
308C2×#124—21no—
309C2×#124C2311yescharacteristic
310#525—24no—
311#525—24no—
312#525—24no—
313#525—24no—
314#525—42no—
315#525—42no—
316C2×#123—21no—
317C2×#123—21no—
318C2×#123—21no—
319C2×#123—21no—
320C2×#123—21no—
321C2×#123—21no—
322C2×#123—21no—
323C2×#123—21no—
324C2×#123—21no—
325C2×#123—21no—
326C2×#123—21no—
327C2×#123D411yescharacteristic
328C2×#123D411yescharacteristic
329C2×C22⋊Q8—21no—
330C2×C22⋊Q8—21no—
331C2×C22⋊Q8—21no—
332C2×C22⋊Q8—21no—
333C2×C22⋊Q8—21no—
334C2×C22⋊Q8—42no—
335C2×C22⋊Q8—42no—
336C2×C22⋊Q8D411yescharacteristic
337C2×C22⋊Q8D411yescharacteristic
338C2×C22⋊Q8C2311yescharacteristic
339C2×C22⋊Q8C2311yescharacteristic
340C2×C22⋊Q8C2311yescharacteristic
341C2×C22⋊Q8C2311yescharacteristic
342C2×C22⋊Q8C2311yescharacteristic
343C2×C22⋊Q8C2311yescharacteristic
344C2×C22⋊Q8C2311yescharacteristic
345C2×C22⋊Q8C2311yescharacteristic
346C2×C22⋊Q8C2311yescharacteristic
347C2×#121—21no—
348C2×#121—21no—
349C2×#121—21no—
350C2×#121—21no—
351C2×#121—21no—
352C2×#121—21no—
353C2×#121—21no—
354C2×#121—24no—
355C2×#121—24no—
356C2×#121—21no—
357C2×#121—21no—
358C2×#121—21no—
359C2×#121—21no—
360C2×#121—21no—
361C2×#121—21no—
362C2×#121—21no—
363C2×#121D411yescharacteristic
364C2×#121D411yescharacteristic
365C2×#121C2311yescharacteristic
366C2×#121C2311yescharacteristic
367C2×#121C2311yescharacteristic
368C2×#121C2311yescharacteristic
369C2×#121C2311yescharacteristic
370C2×#121C2311yescharacteristic
371C2×#121C2311yescharacteristic
372C2×#121C2311yescharacteristic
373C2×#121C2311yescharacteristic
374C2×#121C2311yescharacteristic
375C2×#121C2311yescharacteristic
376C2×#120—21no—
377C2×#120—21no—
378C2×#120—21no—
379C2×#120—21no—
380C2×#120—21no—
381C2×#120—21no—
382C2×#120—21no—
383C2×#120—21no—
384C2×#120D411yescharacteristic
385C2×#120D411yescharacteristic
386C2×C4×Q8C2311yescharacteristic
387C2×C4×D4—21no—
388C2×C4×D4—21no—
389C2×C4×D4—21no—
390C2×C4×D4—21no—
391C2×C4×D4—21no—
392C2×C4×D4—21no—
393C2×C4×D4C2311yescharacteristic
394C2×C4×D4C2311yescharacteristic
395C2×C4×D4C2311yescharacteristic
396C2×C4×D4C2311yescharacteristic
397C2×C4×D4C2311yescharacteristic
398C2×C4×D4C2311yescharacteristic
399C2×C4×D4C2311yescharacteristic
400C2×#117—21no—
401C2×#117—21no—
402C2×#117C2311yescharacteristic
403C2×#117C2311yescharacteristic
404C2×#117C2311yescharacteristic
405C2×#117C2311yescharacteristic
406C22×C4⋊C4—21no—
407C22×C4⋊C4C2311yescharacteristic
408C22×C4⋊C4C2311yescharacteristic
409C22×C4⋊C4C2311yescharacteristic
410C22×C22⋊C4—21no—
411C22×C22⋊C4—21no—
412C22×C22⋊C4—21no—
413C22×C22⋊C4—21no—
414#452—24no—
415#452—24no—
416#452—42no—
417#452—42no—
418#452—42no—
419#451—24no—
420#451—24no—
421#450—42no—
422#450—42no—
423#450—42no—
424#449—24no—
425#449—24no—
426#449—24no—
427#449—24no—
428#449—24no—
429#449—24no—
430#449—42no—
431#448—24no—
432#448—24no—
433#448—24no—
434#448—24no—
435#448—24no—
436#448—24no—
437#447—42no—
438#419—24no—
439#417—24no—
440#416—24no—
441C2×#103—24no—
442C2×#103C2311yescharacteristic
443C2×#103C2311yescharacteristic
444C2×#103C2311yescharacteristic
445C2×#103C2311yescharacteristic
446C2×#103C2311yescharacteristic
447C2×#103C2311yescharacteristic
448C2×#103C2311yescharacteristic
449C2×#103C2311yescharacteristic
450C2×#103C2311yescharacteristic
451C2×#103C2311yescharacteristic
452C2×#103C2311yescharacteristic
453C2×#103C2311yescharacteristic
454C2×#103C2311yescharacteristic
455C2×#103C2311yescharacteristic
456C2×#103C2311yescharacteristic
457C2×#103C2311yescharacteristic
458C2×#102C2311yescharacteristic
459C2×#102C2311yescharacteristic
460C2×#102C2311yescharacteristic
461C2×#102C2311yescharacteristic
462C2×#102C2311yescharacteristic
463C2×#102C2311yescharacteristic
464C2×#102C2311yescharacteristic
465C2×#102C2311yescharacteristic
466C2×#102C2311yescharacteristic
467C2×#102C2311yescharacteristic
468C2×#102C2311yescharacteristic
469C2×#102C2311yescharacteristic
470C2×#102C2311yescharacteristic
471C2×#102C2311yescharacteristic
472C2×#102C2311yescharacteristic
473C2×#102C2311yescharacteristic
474#408—24no—
475#408—24no—
476C2×C22⋊C8C2311yescharacteristic
477C2×C22⋊C8C2311yescharacteristic
478C2×C22⋊C8C2311yescharacteristic
479C2×C22⋊C8C2311yescharacteristic
480C2×C22⋊C8C2311yescharacteristic
481C2×C22⋊C8C2311yescharacteristic
482C2×C22⋊C8C2311yescharacteristic
483C2×C22⋊C8C2311yescharacteristic
484C2×C22⋊C8C2311yescharacteristic
485C2×C22⋊C8C2311yescharacteristic
486C2×C22⋊C8C2311yescharacteristic
487C2×C22⋊C8C2311yescharacteristic
488C2×C22⋊C8C2311yescharacteristic
489C2×C22⋊C8C2311yescharacteristic
490C2×C22⋊C8C2311yescharacteristic
491C2×C22⋊C8C2311yescharacteristic
492#395—21no—
493#395—21no—
494#395—21no—
495#395—21no—
496#394—21no—
497#394—21no—
498#394—21no—
499#394—21no—
500#393—21no—
501#393—21no—
502#393—21no—
503#393—21no—
504#392—21no—
505#392—21no—
506#392—21no—
507#392—21no—
508#391—21no—
509#391—21no—
510#391—21no—
511#391C2311yescharacteristic
512#391C2311yescharacteristic
513#391C2311yescharacteristic
514#391C2311yescharacteristic
515#391C2311yescharacteristic
516#391C2311yescharacteristic
517#390—21no—
518#390C2311yescharacteristic
519#390C2311yescharacteristic
520#386—21no—
521#386—21no—
522#386—21no—
523#386—21no—
524#386—21no—
525#386—21no—
526#386—21no—
527#386—21no—
528#386—21no—
529#386—21no—
530#386—21no—
531#386—21no—
532#385—21no—
533#385—21no—
534#385—21no—
535#385—21no—
536#385—21no—
537#385—21no—
538#385—21no—
539#385—21no—
540#381—21no—
541#381—21no—
542#380—21no—
543#380—21no—
544#380C2311yescharacteristic
545#380C2311yescharacteristic
546#380C2311yescharacteristic
547#380C2311yescharacteristic
548#340C2311yescharacteristic
549#340C2311yescharacteristic
550#340C2311yescharacteristic
551#340C2311yescharacteristic
552#340C2311yescharacteristic
553#340C2311yescharacteristic
554#340C2311yescharacteristic
555#340C2311yescharacteristic
556#340C2311yescharacteristic
557#340C2311yescharacteristic
558#340C2311yescharacteristic
559#340C2311yescharacteristic
560#340C2311yescharacteristic
561#340C2311yescharacteristic
562#340C2311yescharacteristic
563#340C2311yescharacteristic
564#336C2311yescharacteristic
565#336C2311yescharacteristic
566#336C2311yescharacteristic
567#336C2311yescharacteristic
568#336C2311yescharacteristic
569#336C2311yescharacteristic
570#336C2311yescharacteristic
571#336C2311yescharacteristic
572C25—21no—
573C25—21no—
574C25C2×D411yescharacteristic
5752−1+4—416no—
5762−1+4—416no—
5772−1+4—416no—
5782−1+4—416no—
579C2×#41—28no—
580C2×#41—22no—
581C2×#41—22no—
582C2×#41—22no—
583C2×#41—22no—
584C2×#41—22no—
585C2×#41—22no—
586C2×#41—22no—
587C2×#41—22no—
588C2×#41—22no—
589C2×#41—22no—
590C2×#41—22no—
591C2×#41—22no—
592C2×#41—22no—
593C2×#41—22no—
594C2×#41—22no—
595C2×#41—41no—
596C2×#41—41no—
597C2×#41—41no—
598C2×#41—41no—
599C2×#41—41no—
600C2×#41—41no—
601C2×#41—41no—
602C2×#41—41no—
603C2×#41—41no—
604C2×#41—41no—
605C2×#41—44no—
606C2×#41—44no—
607C2×#41—44no—
608C2×#41—41no—
609C2×#41—41no—
610C2×#41—41no—
611C2×#41—41no—
612C2×#41—41no—
613C2×#41—41no—
614C2×#41—41no—
615C2×#41—41no—
616C2×#41—44no—
617C2×#41—44no—
618C2×#41—44no—
619C2×#41—44no—
620C2×#41—44no—
621C2×#41—44no—
622C2×#41—82no—
623C2×#41—82no—
624C2×#41C2×D414yes—
625C2×#41C2×D414yes—
626C2×#41C2×D414yes—
627C22×Q8—22no—
628C22×Q8—22no—
629C22×Q8—21no—
630C22×Q8—21no—
631C22×Q8—21no—
632C22×Q8—21no—
633C22×Q8—22no—
634C22×Q8—22no—
635C22×Q8—22no—
636C22×Q8—22no—
637C22×Q8—22no—
638C22×Q8—22no—
639C22×Q8—22no—
640C22×Q8—22no—
641C22×Q8—22no—
642C22×Q8—22no—
643C22×Q8—41no—
644C22×Q8—41no—
645C22×Q8—41no—
646C22×Q8—41no—
647C22×Q8—41no—
648C22×Q8—41no—
649C22×Q8—44no—
650C22×Q8—44no—
651C22×Q8—44no—
652C22×Q8C2×D411yescharacteristic
653C22×Q8C2411yescharacteristic
654C22×Q8C2411yescharacteristic
655C22×Q8C2411yescharacteristic
656C22×Q8C2411yescharacteristic
657C22×D4—21no—
658C22×D4—21no—
659C22×D4—28no—
660C22×D4—28no—
661C22×D4—21no—
662C22×D4—21no—
663C22×D4—21no—
664C22×D4—21no—
665C22×D4—21no—
666C22×D4—21no—
667C22×D4—21no—
668C22×D4—21no—
669C22×D4—21no—
670C22×D4—21no—
671C22×D4—22no—
672C22×D4—22no—
673C22×D4—21no—
674C22×D4—21no—
675C22×D4—21no—
676C22×D4—21no—
677C22×D4—21no—
678C22×D4—21no—
679C22×D4—21no—
680C22×D4—21no—
681C22×D4—22no—
682C22×D4—41no—
683C22×D4—41no—
684C22×D4—41no—
685C22×D4—41no—
686C22×D4—41no—
687C22×D4—41no—
688C22×D4—41no—
689C22×D4—41no—
690C22×D4—82no—
691C22×D4—82no—
692C22×D4—82no—
693C22×D4—82no—
694C22×D4C2×D411yescharacteristic
695C22×D4C2×D411yescharacteristic
696C22×D4C2×D411yescharacteristic
697C22×D4C2×D411yescharacteristic
698C22×D4C2×D414yes—
699C22×D4C2×D411yescharacteristic
700C22×D4C2×D411yescharacteristic
701C22×D4C2×D411yescharacteristic
702C22×D4C2411yescharacteristic
703C22×D4C2411yescharacteristic
704C22×D4C2411yescharacteristic
705C22×D4C2411yescharacteristic
706C23×C4—21no—
707C23×C4—21no—
708C23×C4—21no—
709C23×C4—21no—
710C23×C4—21no—
711C23×C4—21no—
712C23×C4—21no—
713C23×C4—21no—
714C23×C4—21no—
715C23×C4—22no—
716C23×C4—22no—
717C23×C4—21no—
718C23×C4—21no—
719C23×C4—21no—
720C23×C4—21no—
721C23×C4—21no—
722C23×C4—41no—
723C23×C4—41no—
724C23×C4—41no—
725C23×C4—41no—
726C23×C4C2×D411yescharacteristic
727C23×C4C2×D411yescharacteristic
728C23×C4C2×D411yescharacteristic
729C23×C4C2411yescharacteristic
730C23×C4C2411yescharacteristic
731C23×C4C2411yescharacteristic
732C23×C4C2411yescharacteristic
733C23×C4C2411yescharacteristic
734#137—416no—
735AGL(1,ℤ/8)—416no—
736#135—416no—
737C2×Q16—22no—
738C2×Q16—22no—
739C2×Q16—22no—
740C2×Q16—22no—
741C2×Q16—22no—
742C2×Q16—22no—
743C2×Q16—41no—
744C2×Q16—41no—
745C2×Q16—41no—
746C2×SD16—22no—
747C2×SD16—22no—
748C2×SD16—22no—
749C2×SD16—22no—
750C2×SD16—22no—
751C2×SD16—22no—
752C2×SD16—22no—
753C2×SD16—22no—
754C2×SD16—22no—
755C2×SD16—22no—
756C2×SD16—22no—
757C2×SD16—22no—
758C2×SD16—22no—
759C2×SD16—22no—
760C2×SD16—22no—
761C2×SD16—22no—
762C2×SD16—22no—
763C2×SD16—22no—
764C2×SD16—22no—
765C2×SD16—22no—
766C2×SD16—41no—
767C2×SD16—41no—
768C2×SD16—41no—
769C2×SD16—41no—
770C2×SD16—41no—
771C2×SD16—41no—
772C2×SD16—41no—
773C2×SD16—41no—
774C2×SD16—41no—
775C2×SD16—41no—
776C2×SD16—416no—
777C2×D8—22no—
778C2×D8—22no—
779C2×D8—22no—
780C2×D8—22no—
781C2×D8—22no—
782C2×D8—22no—
783C2×D8—41no—
784C2×D8—41no—
785C2×D8—41no—
786C2×M16—22no—
787C2×M16—22no—
788C2×M16—41no—
789C2×M16—41no—
790C2×M16—41no—
791C2×M16—41no—
792C22×C8—22no—
793C22×C8—22no—
794C22×C8—41no—
795C22×C8—41no—
796C22×C8—41no—
797C22×C8—41no—
798C22×C8C2411yescharacteristic
799C22×C8C2411yescharacteristic
800C22×C8C2411yescharacteristic
801C22×C8C2411yescharacteristic
802C22×C8C2411yescharacteristic
803C22×C8C2411yescharacteristic
804C22×C8C2411yescharacteristic
805C22×C8C2411yescharacteristic
806C4⋊Q8—22no—
807C4⋊Q8—22no—
808#127—28no—
809#127—28no—
810#127—22no—
811#127—22no—
812#126—28no—
813#126—28no—
814#126—28no—
815#125—28no—
816#125—22no—
817#125—22no—
818#124—28no—
819#124—28no—
820#124—28no—
821#124—28no—
822#124—22no—
823#124—22no—
824#123—28no—
825#123—28no—
826#123—28no—
827#123—28no—
828#123—28no—
829#123—28no—
830#123—28no—
831#123—28no—
832#123—28no—
833#123—28no—
834#123—24no—
835#123—24no—
836#123—44no—
837C22⋊Q8—28no—
838C22⋊Q8—28no—
839C22⋊Q8—28no—
840C22⋊Q8—24no—
841C22⋊Q8—24no—
842C22⋊Q8—22no—
843C22⋊Q8—22no—
844C22⋊Q8—22no—
845C22⋊Q8—22no—
846C22⋊Q8—22no—
847C22⋊Q8—22no—
848C22⋊Q8—22no—
849C22⋊Q8—22no—
850C22⋊Q8—22no—
851C22⋊Q8—22no—
852C22⋊Q8—41no—
853C22⋊Q8—41no—
854C22⋊Q8—41no—
855C22⋊Q8—41no—
856C22⋊Q8—41no—
857C22⋊Q8—41no—
858C22⋊Q8—44no—
859C22⋊Q8—44no—
860C22⋊Q8C2×D414yes—
861C22⋊Q8C2×D414yes—
862#121—28no—
863#121—28no—
864#121—28no—
865#121—28no—
866#121—28no—
867#121—28no—
868#121—28no—
869#121—28no—
870#121—28no—
871#121—28no—
872#121—28no—
873#121—28no—
874#121—28no—
875#121—28no—
876#121—24no—
877#121—24no—
878#121—22no—
879#121—22no—
880#121—22no—
881#121—22no—
882#121—22no—
883#121—22no—
884#121—22no—
885#121—22no—
886#121—22no—
887#121—22no—
888#121—22no—
889#121—22no—
890#121—22no—
891#121—22no—
892#121—41no—
893#121—41no—
894#121C2×D414yes—
895#121C2×D414yes—
896#121C2×D414yes—
897#121C2×D414yes—
898#121C2×D414yes—
899#121C2×D414yes—
900#120—28no—
901#120—28no—
902#120—28no—
903#120—28no—
904#120—28no—
905#120—28no—
906#120—28no—
907#120—24no—
908#120—24no—
909#120—44no—
910C4×Q8—22no—
911C4×Q8—22no—
912C4×D4—28no—
913C4×D4—28no—
914C4×D4—28no—
915C4×D4—28no—
916C4×D4—22no—
917C4×D4—22no—
918C4×D4—22no—
919C4×D4—22no—
920C4×D4—22no—
921C4×D4—22no—
922C4×D4—22no—
923C4×D4—22no—
924C4×D4—22no—
925C4×D4—22no—
926C4×D4—22no—
927C4×D4—22no—
928C4×D4—22no—
929C4×D4—22no—
930C4×D4—44no—
931C4×D4—44no—
932#117—28no—
933#117—28no—
934#117—22no—
935#117—22no—
936#117—22no—
937#117—22no—
938#117—22no—
939#117—41no—
940#117—41no—
941#117C2×D414yes—
942C2×C4⋊C4—21no—
943C2×C4⋊C4—21no—
944C2×C4⋊C4—22no—
945C2×C4⋊C4—21no—
946C2×C4⋊C4—21no—
947C2×C4⋊C4—21no—
948C2×C4⋊C4—21no—
949C2×C4⋊C4—21no—
950C2×C4⋊C4—21no—
951C2×C4⋊C4—21no—
952C2×C4⋊C4—22no—
953C2×C4⋊C4—22no—
954C2×C4⋊C4—21no—
955C2×C4⋊C4—21no—
956C2×C4⋊C4—21no—
957C2×C4⋊C4—21no—
958C2×C4⋊C4—21no—
959C2×C4⋊C4—21no—
960C2×C4⋊C4—21no—
961C2×C4⋊C4—41no—
962C2×C4⋊C4—41no—
963C2×C4⋊C4—44no—
964C2×C4⋊C4C2×D411yescharacteristic
965C2×C4⋊C4C2×D411yescharacteristic
966C2×C4⋊C4C2×D411yescharacteristic
967C2×C4⋊C4C2×D411yescharacteristic
968C2×C4⋊C4C2×D411yescharacteristic
969C2×C4⋊C4C2×D411yescharacteristic
970C2×C4⋊C4C2×D414yes—
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2411yescharacteristic
979C2×C22⋊C4—28no—
980C2×C22⋊C4—28no—
981C2×C22⋊C4—28no—
982C2×C22⋊C4—21no—
983C2×C22⋊C4—21no—
984C2×C22⋊C4—21no—
985C2×C22⋊C4—21no—
986C2×C22⋊C4—21no—
987C2×C22⋊C4—21no—
988C2×C22⋊C4—21no—
989C2×C22⋊C4—21no—
990C2×C22⋊C4—21no—
991C2×C22⋊C4—21no—
992C2×C22⋊C4—21no—
993C2×C22⋊C4—21no—
994C2×C22⋊C4—21no—
995C2×C22⋊C4—21no—
996C2×C22⋊C4—21no—
997C2×C22⋊C4—21no—
998C2×C22⋊C4—21no—
999C2×C22⋊C4—21no—
1000C2×C22⋊C4—21no—
1001C2×C22⋊C4—21no—
1002C2×C22⋊C4—21no—
1003C2×C22⋊C4—21no—
1004C2×C22⋊C4—21no—
1005C2×C22⋊C4—21no—
1006C2×C22⋊C4—21no—
1007C2×C22⋊C4—21no—
1008C2×C22⋊C4—21no—
1009C2×C22⋊C4—21no—
1010C2×C22⋊C4—21no—
1011C2×C22⋊C4—21no—
1012C2×C22⋊C4—21no—
1013C2×C22⋊C4—21no—
1014C2×C22⋊C4—21no—
1015C2×C22⋊C4—21no—
1016C2×C22⋊C4—21no—
1017C2×C22⋊C4—21no—
1018C2×C22⋊C4—44no—
1019C2×C22⋊C4C2×D411yescharacteristic
1020C2×C22⋊C4C2×D411yescharacteristic
1021C2×C22⋊C4C2×D411yescharacteristic
1022C2×C22⋊C4C2×D411yescharacteristic
1023C2×C22⋊C4C2×D411yescharacteristic
1024C2×C22⋊C4C2×D411yescharacteristic
1025C2×C22⋊C4C2×D411yescharacteristic
1026C2×C22⋊C4C2×D411yescharacteristic
1027C2×C22⋊C4C2×D411yescharacteristic
1028C2×C22⋊C4C2×D411yescharacteristic
1029C2×C42—21no—
1030C2×C42—21no—
1031C2×C42—21no—
1032C2×C42—21no—
1033C2×C42C2411yescharacteristic
1034C2×C42C2411yescharacteristic
1035#103—22no—
1036#103—22no—
1037#103—22no—
1038#103—22no—
1039#103—22no—
1040#103—22no—
1041#103—22no—
1042#103—22no—
1043#103—22no—
1044#103—22no—
1045#103—22no—
1046#103—22no—
1047#103—41no—
1048#103—41no—
1049#103—41no—
1050#103—41no—
1051#102—22no—
1052#102—22no—
1053#102—22no—
1054#102—22no—
1055#102—41no—
1056#102—41no—
1057#102—41no—
1058#102—41no—
1059#102—41no—
1060#102—41no—
1061#102—41no—
1062#102—41no—
1063#102—41no—
1064#102—41no—
1065#102—41no—
1066#102—41no—
1067C22⋊C8—22no—
1068C22⋊C8—22no—
1069C22⋊C8—22no—
1070C22⋊C8—22no—
1071C22⋊C8—22no—
1072C22⋊C8—22no—
1073C22⋊C8—22no—
1074C22⋊C8—22no—
1075C22⋊C8—41no—
1076C22⋊C8—41no—
1077C22⋊C8—41no—
1078C22⋊C8—41no—
1079C22⋊C8—41no—
1080C22⋊C8—41no—
1081C22⋊C8—41no—
1082C22⋊C8—41no—
1083#95—21no—
1084#95—21no—
1085#95—21no—
1086#95—21no—
1087#95—21no—
1088#95—21no—
1089#95—21no—
1090#95—21no—
1091#95—21no—
1092#95—21no—
1093#95—21no—
1094#95—21no—
1095#95—21no—
1096#95—21no—
1097#95—21no—
1098#95—21no—
1099C24—24no—
1100C24—21no—
1101C24—21no—
1102C24—21no—
1103C24—21no—
1104C24—22no—
1105C24—22no—
1106C24—24no—
1107C24—41no—
1108C24—41no—
1109C24—41no—
1110C24—41no—
1111C24—41no—
1112C24—42no—
1113C24—42no—
1114C24—81no—
1115C24—81no—
1116C24—81no—
1117C24—81no—
1118C24—81no—
1119C24—81no—
1120C24—81no—
1121C24—81no—
1122C24—81no—
1123C24—81no—
1124C24C22×D411yescharacteristic
1125C24C22×D411yescharacteristic
1126C24C22×D411yescharacteristic
1127C24C22×D411yescharacteristic
1128C24C22×D411yescharacteristic
1129#41—28no—
1130#41—28no—
1131#41—44no—
1132#41—44no—
1133#41—44no—
1134#41—44no—
1135#41—44no—
1136#41—44no—
1137#41—44no—
1138#41—44no—
1139#41—44no—
1140#41—44no—
1141#41—44no—
1142#41—44no—
1143#41—44no—
1144#41—44no—
1145#41—44no—
1146#41—44no—
1147#41—432no—
1148#41—432no—
1149#41—432no—
1150#41—82no—
1151#41—82no—
1152#41—82no—
1153#41—82no—
1154#41—816no—
1155#41—82no—
1156#41—82no—
1157C2×Q8—24no—
1158C2×Q8—24no—
1159C2×Q8—21no—
1160C2×Q8—21no—
1161C2×Q8—21no—
1162C2×Q8—21no—
1163C2×Q8—28no—
1164C2×Q8—28no—
1165C2×Q8—21no—
1166C2×Q8—21no—
1167C2×Q8—21no—
1168C2×Q8—21no—
1169C2×Q8—21no—
1170C2×Q8—21no—
1171C2×Q8—21no—
1172C2×Q8—21no—
1173C2×Q8—21no—
1174C2×Q8—21no—
1175C2×Q8—21no—
1176C2×Q8—21no—
1177C2×Q8—21no—
1178C2×Q8—21no—
1179C2×Q8—21no—
1180C2×Q8—21no—
1181C2×Q8—41no—
1182C2×Q8—41no—
1183C2×Q8—42no—
1184C2×Q8—42no—
1185C2×Q8—42no—
1186C2×Q8—42no—
1187C2×Q8—44no—
1188C2×Q8—44no—
1189C2×Q8—44no—
1190C2×Q8—44no—
1191C2×Q8—44no—
1192C2×Q8—44no—
1193C2×Q8—44no—
1194C2×Q8—44no—
1195C2×Q8—42no—
1196C2×Q8—44no—
1197C2×Q8—44no—
1198C2×Q8—432no—
1199C2×Q8—42no—
1200C2×Q8—42no—
1201C2×Q8—42no—
1202C2×Q8—81no—
1203C2×Q8—81no—
1204C2×Q8#12014yes—
1205C2×Q8C22×D412yes—
1206C2×Q8H(5,𝔽2)12yes—
1207C2×Q8H(5,𝔽2)12yes—
1208C2×Q8H(5,𝔽2)12yes—
1209C2×D4—24no—
1210C2×D4—24no—
1211C2×D4—22no—
1212C2×D4—22no—
1213C2×D4—22no—
1214C2×D4—22no—
1215C2×D4—24no—
1216C2×D4—24no—
1217C2×D4—24no—
1218C2×D4—24no—
1219C2×D4—24no—
1220C2×D4—24no—
1221C2×D4—22no—
1222C2×D4—24no—
1223C2×D4—24no—
1224C2×D4—22no—
1225C2×D4—24no—
1226C2×D4—24no—
1227C2×D4—24no—
1228C2×D4—24no—
1229C2×D4—24no—
1230C2×D4—24no—
1231C2×D4—21no—
1232C2×D4—21no—
1233C2×D4—21no—
1234C2×D4—21no—
1235C2×D4—21no—
1236C2×D4—21no—
1237C2×D4—21no—
1238C2×D4—21no—
1239C2×D4—21no—
1240C2×D4—21no—
1241C2×D4—21no—
1242C2×D4—21no—
1243C2×D4—21no—
1244C2×D4—21no—
1245C2×D4—21no—
1246C2×D4—21no—
1247C2×D4—21no—
1248C2×D4—21no—
1249C2×D4—21no—
1250C2×D4—21no—
1251C2×D4—44no—
1252C2×D4—44no—
1253C2×D4—41no—
1254C2×D4—41no—
1255C2×D4—41no—
1256C2×D4—41no—
1257C2×D4—41no—
1258C2×D4—41no—
1259C2×D4—41no—
1260C2×D4—41no—
1261C2×D4—42no—
1262C2×D4—42no—
1263C2×D4—41no—
1264C2×D4—41no—
1265C2×D4—41no—
1266C2×D4—41no—
1267C2×D4—42no—
1268C2×D4—42no—
1269C2×D4—42no—
1270C2×D4—42no—
1271C2×D4—42no—
1272C2×D4—42no—
1273C2×D4—42no—
1274C2×D4—42no—
1275C2×D4—42no—
1276C2×D4—42no—
1277C2×D4—42no—
1278C2×D4—42no—
1279C2×D4—82no—
1280C2×D4—82no—
1281C2×D4—81no—
1282C2×D4—81no—
1283C2×D4—81no—
1284C2×D4—81no—
1285C2×D4—81no—
1286C2×D4—81no—
1287C2×D4—81no—
1288C2×D4—81no—
1289C2×D4—82no—
1290C2×D4—82no—
1291C2×D4—82no—
1292C2×D4—82no—
1293C2×D4—81no—
1294C2×D4—81no—
1295C2×D4—81no—
1296C2×D4—81no—
1297C2×D4—81no—
1298C2×D4—81no—
1299C2×D4—81no—
1300C2×D4—81no—
1301C2×D4—81no—
1302C2×D4—81no—
1303C2×D4—81no—
1304C2×D4—81no—
1305C2×D4—81no—
1306C2×D4—81no—
1307C2×D4—81no—
1308C2×D4—81no—
1309C2×D4—81no—
1310C2×D4—81no—
1311C2×D4—81no—
1312C2×D4—81no—
1313C2×D4—81no—
1314C2×D4—81no—
1315C2×D4—816no—
1316C2×D4—816no—
1317C2×D4#12014yes—
1318C2×D4#12014yes—
1319C2×D4#12014yes—
1320C2×D4C22×D412yes—
1321C2×D4C22×D412yes—
1322C2×D4C22×D412yes—
1323C2×D4H(5,𝔽2)12yes—
1324C22×C4—21no—
1325C22×C4—21no—
1326C22×C4—21no—
1327C22×C4—21no—
1328C22×C4—21no—
1329C22×C4—21no—
1330C22×C4—21no—
1331C22×C4—21no—
1332C22×C4—21no—
1333C22×C4—21no—
1334C22×C4—21no—
1335C22×C4—21no—
1336C22×C4—24no—
1337C22×C4—24no—
1338C22×C4—24no—
1339C22×C4—21no—
1340C22×C4—21no—
1341C22×C4—21no—
1342C22×C4—21no—
1343C22×C4—21no—
1344C22×C4—21no—
1345C22×C4—21no—
1346C22×C4—21no—
1347C22×C4—24no—
1348C22×C4—24no—
1349C22×C4—24no—
1350C22×C4—24no—
1351C22×C4—24no—
1352C22×C4—22no—
1353C22×C4—21no—
1354C22×C4—21no—
1355C22×C4—21no—
1356C22×C4—21no—
1357C22×C4—21no—
1358C22×C4—21no—
1359C22×C4—21no—
1360C22×C4—21no—
1361C22×C4—21no—
1362C22×C4—21no—
1363C22×C4—21no—
1364C22×C4—21no—
1365C22×C4—22no—
1366C22×C4—24no—
1367C22×C4—22no—
1368C22×C4—21no—
1369C22×C4—21no—
1370C22×C4—21no—
1371C22×C4—21no—
1372C22×C4—42no—
1373C22×C4—42no—
1374C22×C4—41no—
1375C22×C4—41no—
1376C22×C4—41no—
1377C22×C4—41no—
1378C22×C4—41no—
1379C22×C4—41no—
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—82no—
1398C22×C4—82no—
1399C22×C4—82no—
1400C22×C4—82no—
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—
1411C22×C4—81no—
1412C22×C4—81no—
1413C22×C4—81no—
1414C22×C4—81no—
1415C22×C4C22×D411yescharacteristic
1416C22×C4C22×D411yescharacteristic
1417C22×C4C22×D411yescharacteristic
1418C22×C4C22×D411yescharacteristic
1419C22×C4C22×D411yescharacteristic
1420C22×C4C22×D411yescharacteristic
1421C22×C4C22×D411yescharacteristic
1422C22×C4C22×D411yescharacteristic
1423C22×C4C22×D411yescharacteristic
1424C22×C4C22×D412yes—
1425C22×C4C22×D412yes—
1426C22×C4C22×D412yes—
1427C22×C4C22×D412yes—
1428C22×C4C22×D412yes—
1429C22×C4C22×D412yes—
1430C22×C4C2511yescharacteristic
1431Q16—44no—
1432Q16—44no—
1433Q16—44no—
1434SD16—44no—
1435SD16—44no—
1436SD16—44no—
1437SD16—44no—
1438SD16—44no—
1439SD16—44no—
1440SD16—44no—
1441SD16—44no—
1442SD16—44no—
1443SD16—44no—
1444D8—44no—
1445D8—44no—
1446D8—44no—
1447M16—44no—
1448M16—44no—
1449C2×C8—21no—
1450C2×C8—21no—
1451C2×C8—21no—
1452C2×C8—21no—
1453C2×C8—21no—
1454C2×C8—21no—
1455C2×C8—21no—
1456C2×C8—21no—
1457C2×C8—21no—
1458C2×C8—21no—
1459C2×C8—21no—
1460C2×C8—21no—
1461C2×C8—21no—
1462C2×C8—21no—
1463C2×C8—21no—
1464C2×C8—21no—
1465C2×C8—21no—
1466C2×C8—21no—
1467C2×C8—21no—
1468C2×C8—21no—
1469C2×C8—21no—
1470C2×C8—21no—
1471C2×C8—21no—
1472C2×C8—21no—
1473C2×C8—44no—
1474C2×C8—44no—
1475C4⋊C4—24no—
1476C4⋊C4—24no—
1477C4⋊C4—24no—
1478C4⋊C4—24no—
1479C4⋊C4—24no—
1480C4⋊C4—24no—
1481C4⋊C4—24no—
1482C4⋊C4—24no—
1483C4⋊C4—24no—
1484C4⋊C4—22no—
1485C4⋊C4—22no—
1486C4⋊C4—22no—
1487C4⋊C4—22no—
1488C4⋊C4—22no—
1489C4⋊C4—22no—
1490C4⋊C4—21no—
1491C4⋊C4—21no—
1492C4⋊C4—21no—
1493C4⋊C4—21no—
1494C4⋊C4—21no—
1495C4⋊C4—21no—
1496C4⋊C4—21no—
1497C4⋊C4—21no—
1498C4⋊C4—21no—
1499C4⋊C4—21no—
1500C4⋊C4—21no—
1501C4⋊C4—21no—
1502C4⋊C4—42no—
1503C4⋊C4—42no—
1504C4⋊C4—42no—
1505C4⋊C4—42no—
1506C4⋊C4—42no—
1507C4⋊C4—42no—
1508C4⋊C4—42no—
1509C4⋊C4C22×D412yes—
1510C4⋊C4C22×D412yes—
1511C4⋊C4C22×D412yes—
1512C4⋊C4C22×D412yes—
1513C22⋊C4—24no—
1514C22⋊C4—24no—
1515C22⋊C4—24no—
1516C22⋊C4—24no—
1517C22⋊C4—24no—
1518C22⋊C4—24no—
1519C22⋊C4—24no—
1520C22⋊C4—24no—
1521C22⋊C4—24no—
1522C22⋊C4—24no—
1523C22⋊C4—22no—
1524C22⋊C4—24no—
1525C22⋊C4—24no—
1526C22⋊C4—24no—
1527C22⋊C4—22no—
1528C22⋊C4—22no—
1529C22⋊C4—22no—
1530C22⋊C4—22no—
1531C22⋊C4—22no—
1532C22⋊C4—22no—
1533C22⋊C4—24no—
1534C22⋊C4—24no—
1535C22⋊C4—24no—
1536C22⋊C4—24no—
1537C22⋊C4—24no—
1538C22⋊C4—24no—
1539C22⋊C4—22no—
1540C22⋊C4—22no—
1541C22⋊C4—22no—
1542C22⋊C4—42no—
1543C22⋊C4—42no—
1544C22⋊C4—42no—
1545C22⋊C4—42no—
1546C22⋊C4—42no—
1547C22⋊C4—42no—
1548C22⋊C4—42no—
1549C22⋊C4—42no—
1550C22⋊C4—42no—
1551C22⋊C4—81no—
1552C22⋊C4—81no—
1553C22⋊C4—81no—
1554C22⋊C4—81no—
1555C22⋊C4—81no—
1556C22⋊C4—81no—
1557C22⋊C4—81no—
1558C22⋊C4—81no—
1559C42—24no—
1560C42—24no—
1561C42—24no—
1562C42—21no—
1563C42—21no—
1564C42—21no—
1565C42—21no—
1566C42—42no—
1567C23—21no—
1568C23—21no—
1569C23—21no—
1570C23—21no—
1571C23—21no—
1572C23—21no—
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—21no—
1577C23—21no—
1578C23—21no—
1579C23—21no—
1580C23—21no—
1581C23—21no—
1582C23—21no—
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—21no—
1587C23—21no—
1588C23—21no—
1589C23—21no—
1590C23—21no—
1591C23—21no—
1592C23—21no—
1593C23—21no—
1594C23—22no—
1595C23—21no—
1596C23—22no—
1597C23—22no—
1598C23—21no—
1599C23—22no—
1600C23—21no—
1601C23—21no—
1602C23—44no—
1603C23—44no—
1604C23—48no—
1605C23—41no—
1606C23—41no—
1607C23—41no—
1608C23—41no—
1609C23—41no—
1610C23—41no—
1611C23—41no—
1612C23—41no—
1613C23—41no—
1614C23—41no—
1615C23—41no—
1616C23—41no—
1617C23—41no—
1618C23—41no—
1619C23—41no—
1620C23—41no—
1621C23—41no—
1622C23—41no—
1623C23—41no—
1624C23—41no—
1625C23—41no—
1626C23—41no—
1627C23—41no—
1628C23—41no—
1629C23—82no—
1630C23—82no—
1631C23—82no—
1632C23—84no—
1633C23—84no—
1634C23—84no—
1635C23—82no—
1636C23—82no—
1637C23—84no—
1638C23—84no—
1639C23—162no—
1640C23—162no—
1641C23—162no—
1642C23—162no—
1643C23—162no—
1644C23—162no—
1645C23—162no—
1646C23—162no—
1647C23C2×#12012yes—
1648C23C2×#12012yes—
1649C23C2×#12012yes—
1650C23#57712yes—
1651C23C23×D411yescharacteristic
1652Q8—22no—
1653Q8—22no—
1654Q8—22no—
1655Q8—22no—
1656Q8—22no—
1657Q8—22no—
1658Q8—22no—
1659Q8—22no—
1660Q8—44no—
1661Q8—48no—
1662Q8—48no—
1663Q8—48no—
1664Q8—41no—
1665Q8—41no—
1666Q8—41no—
1667Q8—41no—
1668Q8—41no—
1669Q8—41no—
1670Q8—41no—
1671Q8—41no—
1672Q8—84no—
1673D4—22no—
1674D4—22no—
1675D4—22no—
1676D4—22no—
1677D4—22no—
1678D4—22no—
1679D4—22no—
1680D4—22no—
1681D4—44no—
1682D4—44no—
1683D4—44no—
1684D4—44no—
1685D4—44no—
1686D4—48no—
1687D4—48no—
1688D4—48no—
1689D4—48no—
1690D4—41no—
1691D4—41no—
1692D4—41no—
1693D4—41no—
1694D4—41no—
1695D4—41no—
1696D4—41no—
1697D4—41no—
1698D4—84no—
1699D4—82no—
1700D4—82no—
1701D4—84no—
1702D4—84no—
1703D4—84no—
1704D4—84no—
1705D4—84no—
1706D4—84no—
1707D4—84no—
1708D4—84no—
1709D4—84no—
1710D4—84no—
1711D4—84no—
1712D4—84no—
1713D4—84no—
1714D4—84no—
1715D4—84no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—21no—
1720C2×C4—21no—
1721C2×C4—21no—
1722C2×C4—22no—
1723C2×C4—22no—
1724C2×C4—22no—
1725C2×C4—22no—
1726C2×C4—22no—
1727C2×C4—22no—
1728C2×C4—22no—
1729C2×C4—22no—
1730C2×C4—22no—
1731C2×C4—22no—
1732C2×C4—22no—
1733C2×C4—22no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—22no—
1742C2×C4—21no—
1743C2×C4—22no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—22no—
1747C2×C4—22no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—22no—
1751C2×C4—22no—
1752C2×C4—22no—
1753C2×C4—22no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—48no—
1761C2×C4—48no—
1762C2×C4—48no—
1763C2×C4—48no—
1764C2×C4—48no—
1765C2×C4—48no—
1766C2×C4—48no—
1767C2×C4—41no—
1768C2×C4—41no—
1769C2×C4—41no—
1770C2×C4—41no—
1771C2×C4—41no—
1772C2×C4—41no—
1773C2×C4—41no—
1774C2×C4—41no—
1775C2×C4—41no—
1776C2×C4—41no—
1777C2×C4—41no—
1778C2×C4—41no—
1779C2×C4—41no—
1780C2×C4—41no—
1781C2×C4—41no—
1782C2×C4—41no—
1783C2×C4—41no—
1784C2×C4—41no—
1785C2×C4—41no—
1786C2×C4—41no—
1787C2×C4—41no—
1788C2×C4—41no—
1789C2×C4—41no—
1790C2×C4—41no—
1791C2×C4—41no—
1792C2×C4—41no—
1793C2×C4—41no—
1794C2×C4—41no—
1795C2×C4—41no—
1796C2×C4—41no—
1797C2×C4—41no—
1798C2×C4—41no—
1799C2×C4—41no—
1800C2×C4—41no—
1801C2×C4—41no—
1802C2×C4—41no—
1803C2×C4—82no—
1804C2×C4—82no—
1805C2×C4—84no—
1806C2×C4—82no—
1807C2×C4—84no—
1808C2×C4—84no—
1809C2×C4—84no—
1810C2×C4—84no—
1811C2×C4—84no—
1812C2×C4—84no—
1813C2×C4C2×#12012yes—
1814C2×C4C2×#12012yes—
1815C2×C4C2×#12012yes—
1816C2×C4C23×D411yescharacteristic
1817C2×C4C23×D411yescharacteristic
1818C2×C4C2×H(5,𝔽2)11yescharacteristic
1819C2×C4C2×H(5,𝔽2)11yescharacteristic
1820C2×C4C2×H(5,𝔽2)11yescharacteristic
1821C2×C4C2×H(5,𝔽2)11yescharacteristic
1822C8—41no—
1823C8—41no—
1824C8—41no—
1825C8—41no—
1826C8—41no—
1827C8—41no—
1828C8—41no—
1829C8—41no—
1830C22—22no—
1831C22—22no—
1832C22—22no—
1833C22—22no—
1834C22—22no—
1835C22—22no—
1836C22—22no—
1837C22—22no—
1838C22—22no—
1839C22—22no—
1840C22—22no—
1841C22—22no—
1842C22—41no—
1843C22—41no—
1844C22—41no—
1845C22—41no—
1846C22—41no—
1847C22—41no—
1848C22—41no—
1849C22—41no—
1850C22—41no—
1851C22—41no—
1852C22—41no—
1853C22—41no—
1854C22—41no—
1855C22—41no—
1856C22—41no—
1857C22—41no—
1858C22—42no—
1859C22—41no—
1860C22—42no—
1861C22—42no—
1862C22—42no—
1863C22—41no—
1864C22—41no—
1865C22—42no—
1866C22—41no—
1867C22—42no—
1868C22—42no—
1869C22—41no—
1870C22—42no—
1871C22—41no—
1872C22—42no—
1873C22—42no—
1874C22—41no—
1875C22—42no—
1876C22—42no—
1877C22—88no—
1878C22—81no—
1879C22—81no—
1880C22—81no—
1881C22—81no—
1882C22—81no—
1883C22—81no—
1884C22—81no—
1885C22—81no—
1886C22—81no—
1887C22—81no—
1888C22—81no—
1889C22—81no—
1890C22—81no—
1891C22—81no—
1892C22—81no—
1893C22—81no—
1894C22—168no—
1895C22—168no—
1896C22C22×#12011yescharacteristic
1897C22#348411yescharacteristic
1898C22#348411yescharacteristic
1899C22C2×#57711yescharacteristic
1900C22#358411yescharacteristic
1901C22#358511yescharacteristic
1902C22#358611yescharacteristic
1903C4—22no—
1904C4—22no—
1905C4—22no—
1906C4—41no—
1907C4—41no—
1908C4—42no—
1909C4—42no—
1910C4—42no—
1911C4—42no—
1912C4—41no—
1913C4—41no—
1914C4—42no—
1915C4—42no—
1916C4—42no—
1917C4—41no—
1918C4—41no—
1919C4—42no—
1920C4—81no—
1921C4—81no—
1922C4—81no—
1923C4—81no—
1924C4#348411yescharacteristic
1925C4#348411yescharacteristic
1926C4#348411yescharacteristic
1927C4#348411yescharacteristic
1928C2—42no—
1929C2—42no—
1930C2—42no—
1931C2—42no—
1932C2—81no—
1933C2—82no—
1934C2—82no—
1935C2—82no—
1936C2—82no—
1937C2#3534611yescharacteristic
1938C2#6037311yescharacteristic
1939C2#6037711yescharacteristic
1940C2#6161111yescharacteristic
1941C2#6161611yescharacteristic
1942C2#6164111yescharacteristic
1943C2#6165611yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C2×#525 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3542C2semidirect
2. C2×#3013C2semidirect
3. C2×#3010C2semidirect
4. #35659C2semidirect
5. #23983C2semidirect
6. #23977C2semidirect
7. #23975C2semidirect
8. #23972C2semidirect
9. #23971C2semidirect
10. #23965C2semidirect
11. #23964C2semidirect
12. #23961C2semidirect
13. #23947C2semidirect
14. #23946C2semidirect
15. #23941C2semidirect
16. #23940C2semidirect
17. #23923C2semidirect
18. #23922C2semidirect
19. #23920C2semidirect
20. #23919C2semidirect
21. #23870C2semidirect
22. #23863C2semidirect
23. #23862C2semidirect
24. #23860C2semidirect
25. #23857C2semidirect
26. #23852C2semidirect
27. #23850C2semidirect
28. #23849C2semidirect
29. #21772C2semidirect
30. #21770C2semidirect
31. #21744C2semidirect
32. C22×2−1+4C22semidirect
33. C22×#137C22semidirect
34. C22×AGL(1,ℤ/8)C22semidirect
35. C22×#135C22semidirect
36. C23×SD16C22semidirect
61. C2×#525C22semidirect
62. C22×C22⋊Q8C22semidirect
66. C2×#452C22semidirect
67. C2×#452C22semidirect
68. C2×#452C22semidirect
69. C2×#452C22semidirect
70. C2×#452C22semidirect
72. C2×#449C22semidirect
73. C2×#449C22semidirect
74. C2×#449C22semidirect
75. C2×#449C22semidirect
76. C2×#449C22semidirect
77. C2×#449C22semidirect
78. C2×#451C22semidirect
79. C2×#451C22semidirect
81. C2×#448C22semidirect
82. C2×#448C22semidirect
83. C2×#448C22semidirect
84. C2×#448C22semidirect
85. C2×#448C22semidirect
90. C2×#417C22semidirect
91. C2×#419C22semidirect
92. C2×#416C22semidirect
93. C22×#103C22semidirect
94. C2×#408C22semidirect
95. C2×#408C22semidirect
99. #2409C22semidirect
100. #2409C22semidirect
101. #2409C22semidirect
105. #2407C22semidirect
106. #2407C22semidirect
107. #2407C22semidirect
112. #2311C22semidirect
113. #2311C22semidirect
114. #2310C22semidirect
115. #2026C22semidirect
116. #2026C22semidirect
117. #2026C22semidirect
118. #2025C22semidirect
119. #2024C22semidirect
120. #2024C22semidirect
121. #2024C22semidirect
122. #2023C22semidirect
123. #2015C22semidirect
124. #2015C22semidirect
125. #2015C22semidirect
126. #2014C22semidirect
127. #2014C22semidirect
128. #2014C22semidirect
129. #2012C22semidirect
130. #2011C22semidirect
131. #2001C22semidirect
132. #2001C22semidirect
133. #2001C22semidirect
140. #2000C22semidirect
141. #2000C22semidirect
142. #2000C22semidirect
143. #2000C22semidirect
146. #1999C22semidirect
147. #1895C22semidirect
148. #1895C22semidirect
149. #1895C22semidirect
150. #1894C22semidirect
151. #1893C22semidirect
152. #1893C22semidirect
153. #1893C22semidirect
154. #1892C22semidirect
155. #1880C22semidirect
156. #1879C22semidirect
157. #1879C22semidirect
158. #1879C22semidirect
159. #1878C22semidirect
160. #1878C22semidirect
161. #1878C22semidirect
162. #1877C22semidirect
163. #1877C22semidirect
164. #1877C22semidirect
165. #1877C22semidirect
166. #1877C22semidirect
167. #1877C22semidirect
168. #1877C22semidirect
169. #1877C22semidirect
170. #1877C22semidirect
172. #1875C22semidirect
173. #1875C22semidirect
174. #1875C22semidirect
176. #1874C22semidirect
177. #1874C22semidirect
178. #1874C22semidirect
179. #1873C22semidirect
180. #1873C22semidirect
181. #1873C22semidirect
182. #1873C22semidirect
183. #1872C22semidirect
184. #1872C22semidirect
185. #1872C22semidirect
186. #1872C22semidirect
188. #1870C22semidirect
189. #1870C22semidirect
190. #1870C22semidirect
192. #1869C22semidirect
193. #1869C22semidirect
194. #1869C22semidirect
195. #1825C22semidirect
196. #1825C22semidirect
197. #1824C22semidirect
198. #1823C22semidirect
199. #1818C22semidirect
200. #1818C22semidirect
201. #1788C22semidirect
202. #1788C22semidirect
203. #1786C22semidirect
204. #1786C22semidirect
205. #1779C22semidirect
206. #1779C22semidirect
291. #537D4semidirect
294. #535D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35422
C2×#30132
C2×#30102
#356592
#239832
#239772
#239752
#239722
#239712
#239652
#239642
#239612
#239472
#239462
#239412
#239402
#239232
#239222
#239202
#239192
#238702
#238632
#238622
#238602
#238572
#238522
#238502
#238492
#217722
#217702
#217442