Finite Group Databasebeta

← #6499885

Subgroups — #6499885

Order 512.

4063 conjugacy classes of subgroups.

The subgroup lattice has 1940 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3546C211yesmaximal, characteristic, complemented
2C2×#3013C211yesmaximal, characteristic, complemented
3C2×#3010C211yesmaximal, characteristic, complemented
4#35660C211yesmaximal, characteristic, complemented
5#23980C211yesmaximal, characteristic, complemented
6#23975C211yesmaximal, characteristic, complemented
7#23974C211yesmaximal, characteristic, complemented
8#23972C211yesmaximal, characteristic, complemented
9#23968C211yesmaximal, characteristic, complemented
10#23964C211yesmaximal, characteristic, complemented
11#23962C211yesmaximal, characteristic, complemented
12#23961C211yesmaximal, characteristic, complemented
13#23938C211yesmaximal, characteristic, complemented
14#23937C211yesmaximal, characteristic, complemented
15#23932C211yesmaximal, characteristic, complemented
16#23931C211yesmaximal, characteristic, complemented
17#23929C211yesmaximal, characteristic, complemented
18#23927C211yesmaximal, characteristic, complemented
19#23926C211yesmaximal, characteristic, complemented
20#23924C211yesmaximal, 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#21745C211yesmaximal, characteristic, complemented
32C22×2−1+4C2211yescharacteristic, complemented
33C22×#137C2211yescharacteristic, complemented
34C22×AGL(1,ℤ/8)C2211yescharacteristic
35C22×#135C2211yescharacteristic, complemented
36C23×SD16C2211yescharacteristic
37#3546—28no—
38#3546—28no—
39C2×#560—21no—
40C2×#560—21no—
41C2×#556C2211yescharacteristic
42C2×#553C2211yescharacteristic
43C2×#553C2211yescharacteristic
44C2×#550—21no—
45C2×#550C2211yescharacteristic
46C2×#547C2211yescharacteristic
47C2×#546—21no—
48C2×#546C2211yescharacteristic
49C2×#546C2211yescharacteristic
50C2×D42C2211yescharacteristic
51C2×#542—21no—
52C2×#538—21no—
53C2×#538—21no—
54C2×#537C2211yescharacteristic
55C2×#537C2211yescharacteristic
56C2×#537C2211yescharacteristic, complemented
57C2×#536C2211yescharacteristic, complemented
58C2×#535—21no—
59C2×#535C2211yescharacteristic
60C2×#535C2211yescharacteristic
61C2×#532C2211yescharacteristic
62C2×#532C2211yescharacteristic
63C2×#529C2211yescharacteristic
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
73C2×#449C2211yescharacteristic
74C2×#449C2211yescharacteristic, complemented
75C2×#449C2211yescharacteristic, complemented
76C2×#449C2211yescharacteristic, complemented
77C2×#449C2211yescharacteristic, complemented
78C2×#451C2211yescharacteristic, complemented
79C2×#451C2211yescharacteristic, complemented
80C2×#448C2211yescharacteristic
81C2×#448C2211yescharacteristic
82C2×#448C2211yescharacteristic
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#2436—21no—
97#2434—21no—
98#2432—21no—
99#2431—21no—
100#2430—21no—
101#2430—21no—
102#2430—21no—
103#2430—21no—
104#2409C2211yescharacteristic
105#2409C2211yescharacteristic, complemented
106#2409C2211yescharacteristic, complemented
107#2409C2211yescharacteristic, complemented
108#2407C2211yescharacteristic
109#2407C2211yescharacteristic, complemented
110#2407C2211yescharacteristic, complemented
111#2407C2211yescharacteristic, complemented
112#2311C2211yescharacteristic, complemented
113#2297C2211yescharacteristic, complemented
114C2×#391C2211yescharacteristic, 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
124#2015C2211yescharacteristic
125#2015C2211yescharacteristic
126#2014C2211yescharacteristic
127#2014C2211yescharacteristic
128#2014C2211yescharacteristic
129#2012C2211yescharacteristic
130#2011C2211yescharacteristic
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
148#1895C2211yescharacteristic
149#1895C2211yescharacteristic, complemented
150#1894C2211yescharacteristic, complemented
151#1893C2211yescharacteristic
152#1893C2211yescharacteristic
153#1893C2211yescharacteristic, complemented
154#1892C2211yescharacteristic, complemented
155#1880C2211yescharacteristic, complemented
156#1879C2211yescharacteristic
157#1879C2211yescharacteristic, complemented
158#1879C2211yescharacteristic, complemented
159#1878C2211yescharacteristic, complemented
160#1878C2211yescharacteristic, complemented
161#1878C2211yescharacteristic, complemented
162#1877C2211yescharacteristic
163#1877C2211yescharacteristic
164#1877C2211yescharacteristic
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#1817C2211yescharacteristic, complemented
200#1817C2211yescharacteristic, complemented
201#1788C2211yescharacteristic, complemented
202#1788C2211yescharacteristic, complemented
203#1786C2211yescharacteristic
204#1786C2211yescharacteristic
205#1780C2211yescharacteristic, complemented
206#1780C2211yescharacteristic, 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×#41—21no—
218C22×#41C2311yescharacteristic
219C22×#41C2311yescharacteristic
220C22×#41C2311yescharacteristic
221C22×#41C2311yescharacteristic
222C22×#41C2311yescharacteristic
223C22×#41C2311yescharacteristic
224C22×#41C2311yescharacteristic
225C23×Q8—21no—
226C23×Q8C2311yescharacteristic
227C23×Q8C2311yescharacteristic
228C23×Q8C2311yescharacteristic
229C23×D4—21no—
230C23×D4C2311yescharacteristic
231C23×D4C2311yescharacteristic
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#560—216no—
265#560—216no—
266#556—24no—
267#556—24no—
268#553—24no—
269#553—24no—
270#553—24no—
271#553—24no—
272#550—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—216no—
285#538—216no—
286#538—216no—
287#537—24no—
288#537—24no—
289#537—24no—
290#537—42no—
291#537—42no—
292#537D418yescomplemented
293#536—42no—
294#536—42no—
295#535—216no—
296#535—24no—
297#535—24no—
298#535—24no—
299#535D418yescomplemented
300#532—24no—
301#532—24no—
302#532—24no—
303#532—24no—
304C2×C4⋊Q8—21no—
305C2×C4⋊Q8D411yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×#127—21no—
308C2×#127—21no—
309C2×#127—21no—
310C2×#127D411yescharacteristic
311C2×#127C2311yescharacteristic
312#529—24no—
313#529—24no—
314C2×#126—21no—
315C2×#126—21no—
316C2×#126—21no—
317C2×#126—21no—
318C2×#126—21no—
319C2×#125C2311yescharacteristic
320C2×#124—21no—
321C2×#124—21no—
322C2×#124—21no—
323C2×#124—21no—
324C2×#124—21no—
325C2×#124D411yescharacteristic
326C2×#124D411yescharacteristic
327C2×#124C2311yescharacteristic
328C2×#123—21no—
329C2×#123—21no—
330C2×#123—21no—
331C2×#123—21no—
332C2×#123—21no—
333C2×#123—21no—
334C2×#123—21no—
335C2×#123—21no—
336C2×#123—21no—
337C2×C22⋊Q8—21no—
338C2×C22⋊Q8—21no—
339C2×C22⋊Q8—21no—
340C2×C22⋊Q8—21no—
341C2×C22⋊Q8C2311yescharacteristic
342C2×C22⋊Q8C2311yescharacteristic
343C2×C22⋊Q8C2311yescharacteristic
344C2×C22⋊Q8C2311yescharacteristic
345C2×C22⋊Q8C2311yescharacteristic
346C2×C22⋊Q8C2311yescharacteristic
347C2×C22⋊Q8C2311yescharacteristic
348C2×C22⋊Q8C2311yescharacteristic
349C2×C22⋊Q8C2311yescharacteristic
350C2×#121—21no—
351C2×#121—21no—
352C2×#121—21no—
353C2×#121—21no—
354C2×#121—21no—
355C2×#121—21no—
356C2×#121—21no—
357C2×#121—21no—
358C2×#121—21no—
359C2×#121—21no—
360C2×#121—21no—
361C2×#121—21no—
362C2×#121—21no—
363C2×#121—21no—
364C2×#121—21no—
365C2×#121—21no—
366C2×#121—21no—
367C2×#121D411yescharacteristic
368C2×#121D411yescharacteristic
369C2×#121D411yescharacteristic
370C2×#121D411yescharacteristic
371C2×#121C2311yescharacteristic
372C2×#121C2311yescharacteristic
373C2×#121C2311yescharacteristic
374C2×#121C2311yescharacteristic
375C2×#121C2311yescharacteristic
376C2×#121C2311yescharacteristic
377C2×#121C2311yescharacteristic
378C2×#121C2311yescharacteristic
379C2×#121C2311yescharacteristic
380C2×#121C2311yescharacteristic
381C2×#121C2311yescharacteristic
382C2×#120—21no—
383C2×#120—21no—
384C2×#120—21no—
385C2×#120—21no—
386C2×#120—21no—
387C2×#120—21no—
388C2×#120—21no—
389C2×#120—21no—
390C2×C4×Q8—21no—
391C2×C4×Q8C2311yescharacteristic
392C2×C4×D4—21no—
393C2×C4×D4—21no—
394C2×C4×D4—21no—
395C2×C4×D4—21no—
396C2×C4×D4—21no—
397C2×C4×D4C2311yescharacteristic
398C2×C4×D4C2311yescharacteristic
399C2×C4×D4C2311yescharacteristic
400C2×C4×D4C2311yescharacteristic
401C2×C4×D4C2311yescharacteristic
402C2×C4×D4C2311yescharacteristic
403C2×C4×D4C2311yescharacteristic
404C2×#117—21no—
405C2×#117C2311yescharacteristic
406C2×#117C2311yescharacteristic
407C2×#117C2311yescharacteristic
408C22×C4⋊C4C2311yescharacteristic
409C22×C4⋊C4C2311yescharacteristic
410C22×C4⋊C4C2311yescharacteristic
411C22×C22⋊C4—21no—
412C22×C22⋊C4—21no—
413C22×C42C2311yescharacteristic
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#380C2311yescharacteristic
541#380C2311yescharacteristic
542#380C2311yescharacteristic
543#380C2311yescharacteristic
544C4×C22⋊C4—21no—
545C4×C22⋊C4—21no—
546C2×#95—21no—
547C2×#95—21no—
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—
5742−1+4—416no—
5752−1+4—416no—
5762−1+4—416no—
5772−1+4—416no—
578C2×#41—28no—
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—22no—
596C2×#41—22no—
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—41no—
606C2×#41—41no—
607C2×#41—41no—
608C2×#41—41no—
609C2×#41—41no—
610C2×#41—41no—
611C2×#41—44no—
612C2×#41—44no—
613C2×#41—44no—
614C2×#41—41no—
615C2×#41—41no—
616C2×#41—41no—
617C2×#41—41no—
618C2×#41—41no—
619C2×#41—41no—
620C2×#41—41no—
621C2×#41—41no—
622C2×#41—44no—
623C2×#41—44no—
624C2×#41—44no—
625C2×#41—44no—
626C2×#41—44no—
627C2×#41—44no—
628C2×#41—82no—
629C2×#41—82no—
630C2×#41—82no—
631C2×#41—82no—
632C2×#41C2×D414yes—
633C2×#41C2×D414yes—
634C2×#41C2×D414yes—
635C22×Q8—22no—
636C22×Q8—22no—
637C22×Q8—21no—
638C22×Q8—21no—
639C22×Q8—21no—
640C22×Q8—21no—
641C22×Q8—22no—
642C22×Q8—22no—
643C22×Q8—22no—
644C22×Q8—22no—
645C22×Q8—22no—
646C22×Q8—22no—
647C22×Q8—22no—
648C22×Q8—22no—
649C22×Q8—22no—
650C22×Q8—22no—
651C22×Q8—41no—
652C22×Q8—41no—
653C22×Q8—41no—
654C22×Q8—41no—
655C22×Q8—41no—
656C22×Q8—41no—
657C22×Q8—44no—
658C22×Q8—44no—
659C22×Q8—44no—
660C22×Q8C2×D411yescharacteristic
661C22×Q8C2×D411yescharacteristic
662C22×Q8C2411yescharacteristic
663C22×Q8C2411yescharacteristic
664C22×Q8C2411yescharacteristic
665C22×Q8C2411yescharacteristic
666C22×D4—21no—
667C22×D4—28no—
668C22×D4—21no—
669C22×D4—21no—
670C22×D4—21no—
671C22×D4—21no—
672C22×D4—21no—
673C22×D4—21no—
674C22×D4—21no—
675C22×D4—21no—
676C22×D4—21no—
677C22×D4—21no—
678C22×D4—21no—
679C22×D4—22no—
680C22×D4—22no—
681C22×D4—21no—
682C22×D4—21no—
683C22×D4—21no—
684C22×D4—21no—
685C22×D4—21no—
686C22×D4—21no—
687C22×D4—21no—
688C22×D4—21no—
689C22×D4—22no—
690C22×D4—41no—
691C22×D4—41no—
692C22×D4—41no—
693C22×D4—41no—
694C22×D4—41no—
695C22×D4—41no—
696C22×D4—41no—
697C22×D4—41no—
698C22×D4—82no—
699C22×D4—82no—
700C22×D4C2×D411yescharacteristic
701C22×D4C2×D411yescharacteristic
702C22×D4C2×D411yescharacteristic
703C22×D4C2×D411yescharacteristic
704C22×D4C2×D411yescharacteristic
705C22×D4C2×D411yescharacteristic
706C22×D4C2×D411yescharacteristic
707C22×D4C2×D414yes—
708C22×D4C2×D411yescharacteristic
709C22×D4C2×D411yescharacteristic
710C22×D4C2×D411yescharacteristic
711C22×D4C2411yescharacteristic
712C22×D4C2411yescharacteristic
713C22×D4C2411yescharacteristic
714C22×D4C2411yescharacteristic
715C23×C4—21no—
716C23×C4—21no—
717C23×C4—21no—
718C23×C4—21no—
719C23×C4—21no—
720C23×C4—21no—
721C23×C4—21no—
722C23×C4—21no—
723C23×C4—21no—
724C23×C4—21no—
725C23×C4—21no—
726C23×C4—21no—
727C23×C4—21no—
728C23×C4—21no—
729C23×C4C2×D411yescharacteristic
730C23×C4C2×D411yescharacteristic
731C23×C4C2411yescharacteristic
732C23×C4C2411yescharacteristic
733C23×C4C2411yescharacteristic
734C23×C4C2411yescharacteristic
735C23×C4C2411yescharacteristic
736#137—416no—
737AGL(1,ℤ/8)—416no—
738#135—416no—
739C2×Q16—22no—
740C2×Q16—22no—
741C2×Q16—22no—
742C2×Q16—22no—
743C2×Q16—22no—
744C2×Q16—22no—
745C2×Q16—41no—
746C2×Q16—41no—
747C2×Q16—41no—
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—22no—
767C2×SD16—22no—
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—41no—
777C2×SD16—41no—
778C2×SD16—416no—
779C2×D8—22no—
780C2×D8—22no—
781C2×D8—22no—
782C2×D8—22no—
783C2×D8—22no—
784C2×D8—22no—
785C2×D8—41no—
786C2×D8—41no—
787C2×D8—41no—
788C2×M16—22no—
789C2×M16—22no—
790C2×M16—41no—
791C2×M16—41no—
792C2×M16—41no—
793C2×M16—41no—
794C22×C8—22no—
795C22×C8—22no—
796C22×C8—41no—
797C22×C8—41no—
798C22×C8—41no—
799C22×C8—41no—
800C22×C8C2411yescharacteristic
801C22×C8C2411yescharacteristic
802C22×C8C2411yescharacteristic
803C22×C8C2411yescharacteristic
804C22×C8C2411yescharacteristic
805C22×C8C2411yescharacteristic
806C22×C8C2411yescharacteristic
807C22×C8C2411yescharacteristic
808C4⋊Q8—24no—
809C4⋊Q8—22no—
810C4⋊Q8—22no—
811C4⋊Q8—44no—
812#127—28no—
813#127—28no—
814#127—28no—
815#127—24no—
816#127—22no—
817#127—22no—
818#126—28no—
819#126—28no—
820#126—28no—
821#126—28no—
822#126—28no—
823#125—22no—
824#125—22no—
825#124—28no—
826#124—28no—
827#124—28no—
828#124—28no—
829#124—24no—
830#124—22no—
831#124—24no—
832#124—22no—
833#124—44no—
834#123—28no—
835#123—28no—
836#123—28no—
837#123—28no—
838#123—28no—
839#123—28no—
840#123—28no—
841#123—44no—
842#123—44no—
843C22⋊Q8—28no—
844C22⋊Q8—28no—
845C22⋊Q8—28no—
846C22⋊Q8—22no—
847C22⋊Q8—22no—
848C22⋊Q8—22no—
849C22⋊Q8—22no—
850C22⋊Q8—22no—
851C22⋊Q8—22no—
852C22⋊Q8—22no—
853C22⋊Q8—22no—
854C22⋊Q8—22no—
855C22⋊Q8—22no—
856C22⋊Q8—41no—
857C22⋊Q8—41no—
858C22⋊Q8—41no—
859C22⋊Q8—41no—
860C22⋊Q8—41no—
861C22⋊Q8—41no—
862C22⋊Q8—44no—
863C22⋊Q8C2×D414yes—
864C22⋊Q8C2×D414yes—
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—28no—
877#121—28no—
878#121—28no—
879#121—24no—
880#121—24no—
881#121—24no—
882#121—24no—
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—22no—
893#121—22no—
894#121—22no—
895#121—22no—
896#121—22no—
897#121—41no—
898#121—41no—
899#121—44no—
900#121—44no—
901#121—44no—
902#121C2×D414yes—
903#121C2×D414yes—
904#121C2×D414yes—
905#121C2×D414yes—
906#121C2×D414yes—
907#121C2×D414yes—
908#120—28no—
909#120—28no—
910#120—28no—
911#120—28no—
912#120—28no—
913#120—28no—
914#120—28no—
915#120—28no—
916C4×Q8—28no—
917C4×Q8—22no—
918C4×Q8—22no—
919C4×D4—28no—
920C4×D4—28no—
921C4×D4—28no—
922C4×D4—28no—
923C4×D4—28no—
924C4×D4—22no—
925C4×D4—22no—
926C4×D4—22no—
927C4×D4—22no—
928C4×D4—22no—
929C4×D4—22no—
930C4×D4—22no—
931C4×D4—22no—
932C4×D4—22no—
933C4×D4—22no—
934C4×D4—22no—
935C4×D4—22no—
936C4×D4—22no—
937C4×D4—22no—
938#117—28no—
939#117—22no—
940#117—22no—
941#117—22no—
942#117—41no—
943#117—41no—
944#117C2×D414yes—
945C2×C4⋊C4—21no—
946C2×C4⋊C4—21no—
947C2×C4⋊C4—22no—
948C2×C4⋊C4—21no—
949C2×C4⋊C4—21no—
950C2×C4⋊C4—21no—
951C2×C4⋊C4—21no—
952C2×C4⋊C4—21no—
953C2×C4⋊C4—21no—
954C2×C4⋊C4—21no—
955C2×C4⋊C4—22no—
956C2×C4⋊C4—22no—
957C2×C4⋊C4—21no—
958C2×C4⋊C4—21no—
959C2×C4⋊C4—21no—
960C2×C4⋊C4—21no—
961C2×C4⋊C4—21no—
962C2×C4⋊C4—21no—
963C2×C4⋊C4—21no—
964C2×C4⋊C4—41no—
965C2×C4⋊C4—41no—
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—21no—
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⋊C4C2×D411yescharacteristic
1018C2×C22⋊C4C2×D411yescharacteristic
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×C42—21no—
1026C2×C42—21no—
1027C2×C42—21no—
1028C2×C42—22no—
1029C2×C42—22no—
1030C2×C42—21no—
1031C2×C42C2×D411yescharacteristic
1032C2×C42C2×D411yescharacteristic
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—24no—
1105C24—81no—
1106C24—81no—
1107C24—81no—
1108C24—81no—
1109C24—81no—
1110C24—81no—
1111C24—81no—
1112C24—81no—
1113C24—81no—
1114C24—81no—
1115C24—81no—
1116C24—81no—
1117C24C22×D411yescharacteristic
1118C24C22×D411yescharacteristic
1119C24C22×D411yescharacteristic
1120C24C22×D411yescharacteristic
1121C24C22×D411yescharacteristic
1122#41—28no—
1123#41—28no—
1124#41—44no—
1125#41—44no—
1126#41—44no—
1127#41—44no—
1128#41—44no—
1129#41—44no—
1130#41—44no—
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—432no—
1141#41—432no—
1142#41—432no—
1143#41—82no—
1144#41—82no—
1145#41—82no—
1146#41—82no—
1147#41—82no—
1148#41—82no—
1149#41—82no—
1150#41—82no—
1151#41—82no—
1152#41—82no—
1153#41—816no—
1154#41—816no—
1155C2×Q8—24no—
1156C2×Q8—24no—
1157C2×Q8—22no—
1158C2×Q8—21no—
1159C2×Q8—21no—
1160C2×Q8—21no—
1161C2×Q8—21no—
1162C2×Q8—28no—
1163C2×Q8—28no—
1164C2×Q8—21no—
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—41no—
1181C2×Q8—41no—
1182C2×Q8—41no—
1183C2×Q8—41no—
1184C2×Q8—42no—
1185C2×Q8—42no—
1186C2×Q8—42no—
1187C2×Q8—42no—
1188C2×Q8—44no—
1189C2×Q8—44no—
1190C2×Q8—44no—
1191C2×Q8—44no—
1192C2×Q8—44no—
1193C2×Q8—44no—
1194C2×Q8—44no—
1195C2×Q8—44no—
1196C2×Q8—42no—
1197C2×Q8—44no—
1198C2×Q8—44no—
1199C2×Q8—42no—
1200C2×Q8—432no—
1201C2×Q8—42no—
1202C2×Q8—42no—
1203C2×Q8—42no—
1204C2×Q8—42no—
1205C2×Q8#12014yes—
1206C2×Q8C22×D412yes—
1207C2×Q8H(5,𝔽2)12yes—
1208C2×Q8H(5,𝔽2)12yes—
1209C2×Q8H(5,𝔽2)12yes—
1210C2×D4—24no—
1211C2×D4—24no—
1212C2×D4—22no—
1213C2×D4—22no—
1214C2×D4—24no—
1215C2×D4—24no—
1216C2×D4—24no—
1217C2×D4—24no—
1218C2×D4—24no—
1219C2×D4—24no—
1220C2×D4—22no—
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—22no—
1231C2×D4—22no—
1232C2×D4—24no—
1233C2×D4—22no—
1234C2×D4—22no—
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—21no—
1252C2×D4—21no—
1253C2×D4—21no—
1254C2×D4—21no—
1255C2×D4—44no—
1256C2×D4—44no—
1257C2×D4—41no—
1258C2×D4—41no—
1259C2×D4—41no—
1260C2×D4—41no—
1261C2×D4—41no—
1262C2×D4—41no—
1263C2×D4—41no—
1264C2×D4—41no—
1265C2×D4—42no—
1266C2×D4—42no—
1267C2×D4—42no—
1268C2×D4—41no—
1269C2×D4—41no—
1270C2×D4—41no—
1271C2×D4—41no—
1272C2×D4—41no—
1273C2×D4—41no—
1274C2×D4—41no—
1275C2×D4—41no—
1276C2×D4—41no—
1277C2×D4—41no—
1278C2×D4—42no—
1279C2×D4—42no—
1280C2×D4—42no—
1281C2×D4—42no—
1282C2×D4—42no—
1283C2×D4—42no—
1284C2×D4—42no—
1285C2×D4—42no—
1286C2×D4—42no—
1287C2×D4—82no—
1288C2×D4—82no—
1289C2×D4—81no—
1290C2×D4—81no—
1291C2×D4—81no—
1292C2×D4—81no—
1293C2×D4—81no—
1294C2×D4—81no—
1295C2×D4—82no—
1296C2×D4—82no—
1297C2×D4—82no—
1298C2×D4—82no—
1299C2×D4—816no—
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—81no—
1316C2×D4—81no—
1317C2×D4—81no—
1318C2×D4—81no—
1319C2×D4—81no—
1320C2×D4—81no—
1321C2×D4—81no—
1322C2×D4—81no—
1323C2×D4—81no—
1324C2×D4—81no—
1325C2×D4—81no—
1326C2×D4#12014yes—
1327C2×D4#12014yes—
1328C2×D4#12014yes—
1329C2×D4C22×D412yes—
1330C2×D4C22×D412yes—
1331C2×D4C22×D412yes—
1332C2×D4H(5,𝔽2)12yes—
1333C22×C4—21no—
1334C22×C4—21no—
1335C22×C4—21no—
1336C22×C4—21no—
1337C22×C4—21no—
1338C22×C4—21no—
1339C22×C4—21no—
1340C22×C4—21no—
1341C22×C4—21no—
1342C22×C4—21no—
1343C22×C4—21no—
1344C22×C4—21no—
1345C22×C4—24no—
1346C22×C4—24no—
1347C22×C4—24no—
1348C22×C4—22no—
1349C22×C4—21no—
1350C22×C4—21no—
1351C22×C4—21no—
1352C22×C4—21no—
1353C22×C4—21no—
1354C22×C4—21no—
1355C22×C4—21no—
1356C22×C4—21no—
1357C22×C4—24no—
1358C22×C4—24no—
1359C22×C4—24no—
1360C22×C4—24no—
1361C22×C4—22no—
1362C22×C4—24no—
1363C22×C4—22no—
1364C22×C4—21no—
1365C22×C4—21no—
1366C22×C4—21no—
1367C22×C4—21no—
1368C22×C4—21no—
1369C22×C4—21no—
1370C22×C4—21no—
1371C22×C4—21no—
1372C22×C4—21no—
1373C22×C4—21no—
1374C22×C4—21no—
1375C22×C4—21no—
1376C22×C4—24no—
1377C22×C4—21no—
1378C22×C4—21no—
1379C22×C4—21no—
1380C22×C4—21no—
1381C22×C4—41no—
1382C22×C4—42no—
1383C22×C4—42no—
1384C22×C4—41no—
1385C22×C4—41no—
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—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×C4—81no—
1416C22×C4—81no—
1417C22×C4C22×D411yescharacteristic
1418C22×C4C22×D411yescharacteristic
1419C22×C4C22×D411yescharacteristic
1420C22×C4C22×D411yescharacteristic
1421C22×C4C22×D411yescharacteristic
1422C22×C4C22×D411yescharacteristic
1423C22×C4C22×D411yescharacteristic
1424C22×C4C22×D411yescharacteristic
1425C22×C4C22×D412yes—
1426C22×C4C22×D412yes—
1427C22×C4C22×D412yes—
1428C22×C4C22×D412yes—
1429C22×C4C22×D412yes—
1430C22×C4C22×D412yes—
1431C22×C4C22×D411yescharacteristic
1432C22×C4C2511yescharacteristic
1433Q16—44no—
1434Q16—44no—
1435Q16—44no—
1436SD16—44no—
1437SD16—44no—
1438SD16—44no—
1439SD16—44no—
1440SD16—44no—
1441SD16—44no—
1442SD16—44no—
1443SD16—44no—
1444SD16—44no—
1445SD16—44no—
1446D8—44no—
1447D8—44no—
1448D8—44no—
1449M16—44no—
1450M16—44no—
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—21no—
1474C2×C8—21no—
1475C2×C8—44no—
1476C2×C8—44no—
1477C4⋊C4—24no—
1478C4⋊C4—24no—
1479C4⋊C4—24no—
1480C4⋊C4—24no—
1481C4⋊C4—24no—
1482C4⋊C4—24no—
1483C4⋊C4—24no—
1484C4⋊C4—24no—
1485C4⋊C4—24no—
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—24no—
1532C22⋊C4—24no—
1533C22⋊C4—24no—
1534C22⋊C4—24no—
1535C22⋊C4—24no—
1536C22⋊C4—24no—
1537C22⋊C4—22no—
1538C22⋊C4—22no—
1539C22⋊C4—22no—
1540C22⋊C4—42no—
1541C22⋊C4—42no—
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—
1557C42—24no—
1558C42—24no—
1559C42—22no—
1560C42—22no—
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—22no—
1593C23—22no—
1594C23—22no—
1595C23—21no—
1596C23—21no—
1597C23—21no—
1598C23—22no—
1599C23—21no—
1600C23—21no—
1601C23—21no—
1602C23—21no—
1603C23—41no—
1604C23—41no—
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—84no—
1628C23—84no—
1629C23—84no—
1630C23—84no—
1631C23—84no—
1632C23—84no—
1633C23—162no—
1634C23—162no—
1635C23—162no—
1636C23—162no—
1637C23—162no—
1638C23—162no—
1639C23—162no—
1640C23—162no—
1641C23C2×#12012yes—
1642C23C2×#12012yes—
1643C23C2×#12012yes—
1644C23C23×D411yescharacteristic
1645Q8—22no—
1646Q8—22no—
1647Q8—22no—
1648Q8—22no—
1649Q8—22no—
1650Q8—22no—
1651Q8—22no—
1652Q8—22no—
1653Q8—44no—
1654Q8—48no—
1655Q8—48no—
1656Q8—48no—
1657Q8—48no—
1658Q8—41no—
1659Q8—41no—
1660Q8—41no—
1661Q8—41no—
1662Q8—41no—
1663Q8—41no—
1664Q8—41no—
1665Q8—41no—
1666Q8—82no—
1667D4—22no—
1668D4—22no—
1669D4—22no—
1670D4—22no—
1671D4—22no—
1672D4—22no—
1673D4—22no—
1674D4—22no—
1675D4—44no—
1676D4—44no—
1677D4—44no—
1678D4—44no—
1679D4—44no—
1680D4—48no—
1681D4—48no—
1682D4—48no—
1683D4—48no—
1684D4—41no—
1685D4—41no—
1686D4—41no—
1687D4—41no—
1688D4—41no—
1689D4—41no—
1690D4—41no—
1691D4—41no—
1692D4—84no—
1693D4—82no—
1694D4—82no—
1695D4—82no—
1696D4—82no—
1697D4—82no—
1698D4—84no—
1699D4—84no—
1700D4—84no—
1701D4—84no—
1702D4—84no—
1703D4—84no—
1704D4—84no—
1705D4—84no—
1706D4—84no—
1707D4—84no—
1708D4—84no—
1709D4—84no—
1710D4—84no—
1711D4—162no—
1712D4—162no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—21no—
1720C2×C4—21no—
1721C2×C4—22no—
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—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—22no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—22no—
1744C2×C4—22no—
1745C2×C4—22no—
1746C2×C4—21no—
1747C2×C4—22no—
1748C2×C4—22no—
1749C2×C4—22no—
1750C2×C4—22no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—44no—
1757C2×C4—48no—
1758C2×C4—48no—
1759C2×C4—48no—
1760C2×C4—48no—
1761C2×C4—48no—
1762C2×C4—48no—
1763C2×C4—48no—
1764C2×C4—41no—
1765C2×C4—41no—
1766C2×C4—41no—
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—84no—
1801C2×C4—82no—
1802C2×C4—84no—
1803C2×C4—84no—
1804C2×C4—84no—
1805C2×C4—84no—
1806C2×C4—84no—
1807C2×C4—162no—
1808C2×C4C2×#12012yes—
1809C2×C4C2×#12012yes—
1810C2×C4C2×#12012yes—
1811C2×C4#57712yes—
1812C2×C4C23×D411yescharacteristic
1813C2×C4C23×D411yescharacteristic
1814C2×C4C2×H(5,𝔽2)11yescharacteristic
1815C2×C4C2×H(5,𝔽2)11yescharacteristic
1816C2×C4C2×H(5,𝔽2)11yescharacteristic
1817C2×C4C2×H(5,𝔽2)11yescharacteristic
1818C8—41no—
1819C8—41no—
1820C8—41no—
1821C8—41no—
1822C8—41no—
1823C8—41no—
1824C8—41no—
1825C8—41no—
1826C22—22no—
1827C22—22no—
1828C22—22no—
1829C22—22no—
1830C22—22no—
1831C22—22no—
1832C22—22no—
1833C22—22no—
1834C22—22no—
1835C22—41no—
1836C22—41no—
1837C22—41no—
1838C22—41no—
1839C22—41no—
1840C22—41no—
1841C22—41no—
1842C22—41no—
1843C22—41no—
1844C22—41no—
1845C22—41no—
1846C22—41no—
1847C22—42no—
1848C22—41no—
1849C22—41no—
1850C22—42no—
1851C22—42no—
1852C22—42no—
1853C22—42no—
1854C22—41no—
1855C22—42no—
1856C22—42no—
1857C22—41no—
1858C22—41no—
1859C22—42no—
1860C22—42no—
1861C22—41no—
1862C22—42no—
1863C22—41no—
1864C22—41no—
1865C22—41no—
1866C22—41no—
1867C22—41no—
1868C22—41no—
1869C22—42no—
1870C22—41no—
1871C22—41no—
1872C22—42no—
1873C22—81no—
1874C22—81no—
1875C22—81no—
1876C22—81no—
1877C22—81no—
1878C22—81no—
1879C22—81no—
1880C22—81no—
1881C22—81no—
1882C22—81no—
1883C22—81no—
1884C22—81no—
1885C22—81no—
1886C22—81no—
1887C22—81no—
1888C22—81no—
1889C22—168no—
1890C22—168no—
1891C22C22×#12011yescharacteristic
1892C22#348411yescharacteristic
1893C22#348411yescharacteristic
1894C22C2×#57711yescharacteristic
1895C22#358411yescharacteristic
1896C22#358511yescharacteristic
1897C22#358611yescharacteristic
1898C4—22no—
1899C4—22no—
1900C4—22no—
1901C4—22no—
1902C4—41no—
1903C4—41no—
1904C4—42no—
1905C4—42no—
1906C4—42no—
1907C4—42no—
1908C4—41no—
1909C4—42no—
1910C4—42no—
1911C4—42no—
1912C4—41no—
1913C4—41no—
1914C4—42no—
1915C4—81no—
1916C4—81no—
1917C4—81no—
1918C4—81no—
1919C4#348411yescharacteristic
1920C4#348411yescharacteristic
1921C4#348411yescharacteristic
1922C4#348411yescharacteristic
1923C2—42no—
1924C2—42no—
1925C2—42no—
1926C2—81no—
1927C2—81no—
1928C2—82no—
1929C2—82no—
1930C2—82no—
1931C2—82no—
1932C2#3534611yescharacteristic
1933C2#6037311yescharacteristic
1934C2#6037711yescharacteristic
1935C2#6165911yescharacteristic
1936C2#6167111yescharacteristic
1937C2#6169011yescharacteristic
1938C2#6169211yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C2×#532 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3546C2semidirect
2. C2×#3013C2semidirect
3. C2×#3010C2semidirect
4. #35660C2semidirect
5. #23980C2semidirect
6. #23975C2semidirect
7. #23974C2semidirect
8. #23972C2semidirect
9. #23968C2semidirect
10. #23964C2semidirect
11. #23962C2semidirect
12. #23961C2semidirect
13. #23938C2semidirect
14. #23937C2semidirect
15. #23932C2semidirect
16. #23931C2semidirect
17. #23929C2semidirect
18. #23927C2semidirect
19. #23926C2semidirect
20. #23924C2semidirect
21. #23870C2semidirect
22. #23863C2semidirect
23. #23862C2semidirect
24. #23860C2semidirect
25. #23857C2semidirect
26. #23852C2semidirect
27. #23850C2semidirect
28. #23849C2semidirect
29. #21772C2semidirect
30. #21770C2semidirect
31. #21745C2semidirect
32. C22×2−1+4C22semidirect
33. C22×#137C22semidirect
35. C22×#135C22semidirect
56. C2×#537C22semidirect
57. C2×#536C22semidirect
66. C2×#452C22semidirect
67. C2×#452C22semidirect
68. C2×#452C22semidirect
69. C2×#452C22semidirect
70. C2×#452C22semidirect
74. C2×#449C22semidirect
75. C2×#449C22semidirect
76. C2×#449C22semidirect
77. C2×#449C22semidirect
78. C2×#451C22semidirect
79. C2×#451C22semidirect
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
105. #2409C22semidirect
106. #2409C22semidirect
107. #2409C22semidirect
109. #2407C22semidirect
110. #2407C22semidirect
111. #2407C22semidirect
112. #2311C22semidirect
113. #2297C22semidirect
114. C2×#391C22semidirect
115. #2026C22semidirect
116. #2026C22semidirect
117. #2026C22semidirect
118. #2025C22semidirect
119. #2024C22semidirect
120. #2024C22semidirect
121. #2024C22semidirect
122. #2023C22semidirect
131. #2001C22semidirect
132. #2001C22semidirect
133. #2001C22semidirect
140. #2000C22semidirect
141. #2000C22semidirect
142. #2000C22semidirect
143. #2000C22semidirect
146. #1999C22semidirect
149. #1895C22semidirect
150. #1894C22semidirect
153. #1893C22semidirect
154. #1892C22semidirect
155. #1880C22semidirect
157. #1879C22semidirect
158. #1879C22semidirect
159. #1878C22semidirect
160. #1878C22semidirect
161. #1878C22semidirect
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. #1817C22semidirect
200. #1817C22semidirect
201. #1788C22semidirect
202. #1788C22semidirect
205. #1780C22semidirect
206. #1780C22semidirect
292. #537D4semidirect
299. #535D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35462
C2×#30132
C2×#30102
#356602
#239802
#239752
#239742
#239722
#239682
#239642
#239622
#239612
#239382
#239372
#239322
#239312
#239292
#239272
#239262
#239242
#238702
#238632
#238622
#238602
#238572
#238522
#238502
#238492
#217722
#217702
#217452