Finite Group Databasebeta

← #6533513

Subgroups — #6533513

Order 512.

3673 conjugacy classes of subgroups.

The subgroup lattice has 1942 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3546C211yesmaximal, characteristic, complemented
2C2×#3318C211yesmaximal, characteristic, complemented
3C2×#3264C211yesmaximal, characteristic, complemented
4#39342C211yesmaximal, characteristic, complemented
5#29660C211yesmaximal, characteristic, complemented
6#29606C211yesmaximal, characteristic, complemented
7#29602C211yesmaximal, characteristic, complemented
8#25770C211yesmaximal, characteristic, complemented
9#25605C211yesmaximal, characteristic, complemented
10#25581C211yesmaximal, characteristic, complemented
11#25549C211yesmaximal, characteristic, complemented
12#25540C211yesmaximal, characteristic, complemented
13#24440C211yesmaximal, characteristic, complemented
14#24435C211yesmaximal, characteristic, complemented
15#24397C211yesmaximal, characteristic, complemented
16#24390C211yesmaximal, characteristic, complemented
17#24257C211yesmaximal, characteristic, complemented
18#24159C211yesmaximal, characteristic, complemented
19#24136C211yesmaximal, characteristic, complemented
20#23979C211yesmaximal, characteristic, complemented
21#23960C211yesmaximal, characteristic, complemented
22#23925C211yesmaximal, characteristic, complemented
23#23924C211yesmaximal, characteristic, complemented
24#23869C211yesmaximal, characteristic, complemented
25#23848C211yesmaximal, characteristic, complemented
26#23573C211yesmaximal, characteristic, complemented
27#23393C211yesmaximal, characteristic, complemented
28#23387C211yesmaximal, characteristic, complemented
29#22498C211yesmaximal, characteristic, complemented
30#22424C211yesmaximal, characteristic, complemented
31#22403C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
33C23×D8C2211yescharacteristic
34#3546—28no—
35#3546—28no—
36C2×#560—21no—
37C2×#560—21no—
38C2×#556C2211yescharacteristic, complemented
39C2×#553C2211yescharacteristic
40C2×#553C2211yescharacteristic, complemented
41C2×#550—21no—
42C2×#550C2211yescharacteristic, complemented
43C2×#547C2211yescharacteristic, complemented
44C2×#546—21no—
45C2×#546C2211yescharacteristic
46C2×#546C2211yescharacteristic, complemented
47C2×D42C2211yescharacteristic, complemented
48C2×D42C2211yescharacteristic, complemented
49C2×#542—21no—
50C2×#538—21no—
51C2×#538—21no—
52C2×#537C2211yescharacteristic, complemented
53C2×#537C2211yescharacteristic, complemented
54C2×#535—21no—
55C2×#535C2211yescharacteristic, complemented
56C2×#535C2211yescharacteristic, complemented
57C2×#535C2211yescharacteristic, complemented
58C2×#535C2211yescharacteristic, complemented
59C2×#532C2211yescharacteristic
60C2×#532C2211yescharacteristic, complemented
61C2×#529C2211yescharacteristic, complemented
62#3318—28no—
63#3264—28no—
64C2×#496C2211yescharacteristic
65C2×#490C2211yescharacteristic, complemented
66C2×#481C2211yescharacteristic, complemented
67C2×#482C2211yescharacteristic, complemented
68C2×#478C2211yescharacteristic, complemented
69C2×#469C2211yescharacteristic
70C2×#469C2211yescharacteristic
71C2×#466C2211yescharacteristic, complemented
72C2×#465C2211yescharacteristic, complemented
73C2×#463C2211yescharacteristic
74C2×#459C2211yescharacteristic, complemented
75C2×#459C2211yescharacteristic, complemented
76C2×#449C2211yescharacteristic, complemented
77C2×#449C2211yescharacteristic, complemented
78C2×#449C2211yescharacteristic, complemented
79C2×#449C2211yescharacteristic, complemented
80C2×#450C2211yescharacteristic, complemented
81C2×#447C2211yescharacteristic
82C2×#447C2211yescharacteristic
83C2×#447C2211yescharacteristic
84C2×#447C2211yescharacteristic
85C2×#447C2211yescharacteristic, complemented
86C2×#447C2211yescharacteristic, complemented
87C2×#447C2211yescharacteristic, complemented
88C2×#442C2211yescharacteristic, complemented
89C2×#442C2211yescharacteristic, complemented
90C2×#435C2211yescharacteristic, complemented
91C2×#435C2211yescharacteristic, complemented
92C2×#418C2211yescharacteristic, complemented
93C2×#418C2211yescharacteristic, complemented
94C2×#416C2211yescharacteristic, complemented
95C22×#102C2211yescharacteristic, complemented
96C2×#408C2211yescharacteristic, complemented
97C2×#408C2211yescharacteristic, complemented
98#2856C2211yescharacteristic, complemented
99#2670—21no—
100#2670—21no—
101#2669—21no—
102#2669—21no—
103#2615C2211yescharacteristic, complemented
104#2615C2211yescharacteristic, complemented
105#2541—21no—
106#2541C2211yescharacteristic, complemented
107#2537C2211yescharacteristic, complemented
108#2491—21no—
109#2433—21no—
110#2414C2211yescharacteristic
111#2414C2211yescharacteristic, complemented
112#2408—21no—
113#2408C2211yescharacteristic
114#2408C2211yescharacteristic, complemented
115#2354C2211yescharacteristic, complemented
116C4×#121C2211yescharacteristic, complemented
117#2058C2211yescharacteristic, complemented
118#2041C2211yescharacteristic, complemented
119#2035C2211yescharacteristic, complemented
120#2035C2211yescharacteristic, complemented
121#2034C2211yescharacteristic, complemented
122#2034C2211yescharacteristic, complemented
123#2034C2211yescharacteristic, complemented
124#2034C2211yescharacteristic, complemented
125#2033C2211yescharacteristic, complemented
126#2033C2211yescharacteristic, complemented
127#2023C2211yescharacteristic, complemented
128#2023C2211yescharacteristic, complemented
129#2023C2211yescharacteristic, complemented
130#2011C2211yescharacteristic
131#2011C2211yescharacteristic, complemented
132#2011C2211yescharacteristic, complemented
133#2000C2211yescharacteristic, complemented
134#2000C2211yescharacteristic, complemented
135#2000C2211yescharacteristic, complemented
136#2000C2211yescharacteristic, complemented
137#2000C2211yescharacteristic, complemented
138#2000C2211yescharacteristic, complemented
139#1999C2211yescharacteristic
140#1999C2211yescharacteristic
141#1999C2211yescharacteristic
142#1999C2211yescharacteristic, complemented
143#1999C2211yescharacteristic, complemented
144#1999C2211yescharacteristic, complemented
145#1999C2211yescharacteristic, complemented
146#1999C2211yescharacteristic, complemented
147#1999C2211yescharacteristic, complemented
148#1999C2211yescharacteristic, complemented
149#1999C2211yescharacteristic, complemented
150#1999C2211yescharacteristic, complemented
151#1999C2211yescharacteristic, complemented
152#1999C2211yescharacteristic, complemented
153#1999C2211yescharacteristic, complemented
154#1999C2211yescharacteristic, complemented
155#1999C2211yescharacteristic, complemented
156#1999C2211yescharacteristic, complemented
157#1992C2211yescharacteristic, complemented
158#1989C2211yescharacteristic, complemented
159#1983C2211yescharacteristic, complemented
160#1959C2211yescharacteristic, complemented
161#1955C2211yescharacteristic, complemented
162#1955C2211yescharacteristic, complemented
163#1895C2211yescharacteristic, complemented
164#1894C2211yescharacteristic, complemented
165#1893C2211yescharacteristic, complemented
166#1893C2211yescharacteristic, complemented
167#1880C2211yescharacteristic, complemented
168#1880C2211yescharacteristic, complemented
169#1880C2211yescharacteristic, complemented
170#1879C2211yescharacteristic
171#1879C2211yescharacteristic, complemented
172#1879C2211yescharacteristic, complemented
173#1875C2211yescharacteristic, complemented
174#1875C2211yescharacteristic, complemented
175#1875C2211yescharacteristic, complemented
176#1875C2211yescharacteristic, complemented
177#1875C2211yescharacteristic, complemented
178#1875C2211yescharacteristic, complemented
179#1874C2211yescharacteristic, complemented
180#1874C2211yescharacteristic, complemented
181#1874C2211yescharacteristic, complemented
182#1873C2211yescharacteristic, complemented
183#1870C2211yescharacteristic, complemented
184#1870C2211yescharacteristic, complemented
185#1869C2211yescharacteristic, complemented
186#1869C2211yescharacteristic, complemented
187#1864C2211yescharacteristic, complemented
188#1863C2211yescharacteristic, complemented
189#1854C2211yescharacteristic, complemented
190#1853C2211yescharacteristic, complemented
191#1825C2211yescharacteristic, complemented
192#1823C2211yescharacteristic, complemented
193#1802C2211yescharacteristic, complemented
194#1802C2211yescharacteristic, complemented
195#1797C2211yescharacteristic, complemented
196#1788C2211yescharacteristic, complemented
197#1788C2211yescharacteristic, complemented
198#1786C2211yescharacteristic, complemented
199#1786C2211yescharacteristic, complemented
200#1780C2211yescharacteristic, complemented
201#1780C2211yescharacteristic, complemented
202#1762C2211yescharacteristic, complemented
203#1762C2211yescharacteristic, complemented
204#1749C2211yescharacteristic, complemented
205#1736C2211yescharacteristic, complemented
206#1735C2211yescharacteristic, complemented
207C22×#41—21no—
208C22×#41—21no—
209C22×#41C2311yescharacteristic
210C22×#41C2311yescharacteristic
211C22×#41C2311yescharacteristic
212C22×#41C2311yescharacteristic
213C23×D4—21no—
214C23×D4—21no—
215C23×D4C2311yescharacteristic
216C23×D4C2311yescharacteristic
217C23×D4C2311yescharacteristic
218C23×D4C2311yescharacteristic
219C2×AGL(1,ℤ/8)—24no—
220C2×AGL(1,ℤ/8)—42no—
221C2×AGL(1,ℤ/8)—42no—
222C22×SD16C2311yescharacteristic
223C22×SD16C2311yescharacteristic
224C22×SD16C2311yescharacteristic
225C22×D8—24no—
226C22×D8—42no—
227C22×D8—42no—
228C22×D8C2311yescharacteristic
229C22×D8C2311yescharacteristic
230C22×D8C2311yescharacteristic
231C22×D8C2311yescharacteristic
232C22×D8C2311yescharacteristic
233C22×D8C2311yescharacteristic
234C22×D8C2311yescharacteristic
235C22×D8C2311yescharacteristic
236C22×D8C2311yescharacteristic
237C22×M16C2311yescharacteristic
238C22×M16C2311yescharacteristic
239C23×C8C2311yescharacteristic
240C23×C8C2311yescharacteristic
241#560—216no—
242#560—216no—
243#556—24no—
244#556—24no—
245#553—24no—
246#553—24no—
247#553—24no—
248#553D418yescomplemented
249#550—216no—
250#550—24no—
251#550—24no—
252#547—24no—
253#547—24no—
254#546—216no—
255#546—24no—
256#546—24no—
257#546—24no—
258#546D418yescomplemented
259D42—24no—
260D42—24no—
261D42—24no—
262D42—24no—
263#542—216no—
264#538—216no—
265#538—216no—
266#537—24no—
267#537—24no—
268#537—24no—
269#537—24no—
270#535—216no—
271#535—24no—
272#535—24no—
273#535—24no—
274#535—24no—
275#535—42no—
276#535—42no—
277#535—42no—
278#535—42no—
279#532—24no—
280#532—24no—
281#532—24no—
282#532—24no—
283C2×C4⋊Q8D411yescharacteristic
284C2×C4⋊Q8C2311yescharacteristic
285C2×#127—21no—
286C2×#127—21no—
287C2×#127—21no—
288C2×#127—21no—
289C2×#127—21no—
290C2×#127—21no—
291C2×#127D411yescharacteristic
292C2×#127C2311yescharacteristic
293C2×#127C2311yescharacteristic
294#529—24no—
295#529—24no—
296C2×#126—21no—
297C2×#126—21no—
298C2×#126—21no—
299C2×#126—21no—
300C2×#126—21no—
301C2×#125C2311yescharacteristic
302C2×#124—21no—
303C2×#124—21no—
304C2×#124—21no—
305C2×#124—21no—
306C2×#124—21no—
307C2×#124—21no—
308C2×#124D411yescharacteristic
309C2×#124D411yescharacteristic
310C2×#124C2311yescharacteristic
311C2×#123—21no—
312C2×#123—21no—
313C2×#123—21no—
314C2×#123—21no—
315C2×#123—21no—
316C2×#123—21no—
317C2×#123—21no—
318C2×C22⋊Q8—21no—
319C2×C22⋊Q8—21no—
320C2×C22⋊Q8—21no—
321C2×C22⋊Q8C2311yescharacteristic
322C2×C22⋊Q8C2311yescharacteristic
323C2×C22⋊Q8C2311yescharacteristic
324C2×#121—21no—
325C2×#121—21no—
326C2×#121—21no—
327C2×#121—21no—
328C2×#121—21no—
329C2×#121—21no—
330C2×#121—21no—
331C2×#121—21no—
332C2×#121—21no—
333C2×#121—21no—
334C2×#121—21no—
335C2×#121—21no—
336C2×#121—21no—
337C2×#121—21no—
338C2×#121—21no—
339C2×#121—21no—
340C2×#121—21no—
341C2×#121—21no—
342C2×#121D411yescharacteristic
343C2×#121D411yescharacteristic
344C2×#121D411yescharacteristic
345C2×#121D411yescharacteristic
346C2×#121C2311yescharacteristic
347C2×#121C2311yescharacteristic
348C2×#121C2311yescharacteristic
349C2×#121C2311yescharacteristic
350C2×#121C2311yescharacteristic
351C2×#121C2311yescharacteristic
352C2×#121C2311yescharacteristic
353C2×#121C2311yescharacteristic
354C2×#121C2311yescharacteristic
355C2×#121C2311yescharacteristic
356C2×#121C2311yescharacteristic
357C2×#121C2311yescharacteristic
358C2×#121C2311yescharacteristic
359C2×#121C2311yescharacteristic
360C2×#121C2311yescharacteristic
361C2×#121C2311yescharacteristic
362C2×#121C2311yescharacteristic
363C2×#121C2311yescharacteristic
364C2×#121C2311yescharacteristic
365C2×#121C2311yescharacteristic
366C2×#120—21no—
367C2×#120—21no—
368C2×#120—21no—
369C2×#120—21no—
370C2×#120—21no—
371C2×#120—21no—
372C2×#120—21no—
373C2×#120—21no—
374C2×#120—21no—
375C2×#120—21no—
376C2×#120—21no—
377C2×#120—21no—
378C2×#120—21no—
379C2×#120—21no—
380C2×#120—21no—
381C2×#120—21no—
382C2×C4×Q8—21no—
383C2×C4×Q8C2311yescharacteristic
384C2×C4×D4—21no—
385C2×C4×D4—21no—
386C2×C4×D4—21no—
387C2×C4×D4—21no—
388C2×C4×D4—21no—
389C2×C4×D4—21no—
390C2×C4×D4C2311yescharacteristic
391C2×C4×D4C2311yescharacteristic
392C2×C4×D4C2311yescharacteristic
393C2×C4×D4C2311yescharacteristic
394C2×C4×D4C2311yescharacteristic
395C2×C4×D4C2311yescharacteristic
396C2×C4×D4C2311yescharacteristic
397C2×C4×D4C2311yescharacteristic
398C2×#117—21no—
399C2×#117C2311yescharacteristic
400C2×#117C2311yescharacteristic
401C2×#117C2311yescharacteristic
402C2×#117C2311yescharacteristic
403C22×C4⋊C4C2311yescharacteristic
404C22×C4⋊C4C2311yescharacteristic
405C22×C22⋊C4—21no—
406C22×C22⋊C4—21no—
407C22×C42C2311yescharacteristic
408#496—24no—
409#490—24no—
410#482—24no—
411#481—24no—
412#478—24no—
413#469—24no—
414#469—24no—
415#466—24no—
416#465—24no—
417#463—24no—
418#459—24no—
419#459—24no—
420#450—24no—
421#449—24no—
422#449—42no—
423#449—42no—
424#449—42no—
425#447—24no—
426#447—24no—
427#447—24no—
428#447—24no—
429#447—42no—
430#447—42no—
431#447—42no—
432#442—24no—
433#442—24no—
434#435—24no—
435#435—24no—
436C2×#107C2311yescharacteristic
437C2×#106C2311yescharacteristic
438C2×#106C2311yescharacteristic
439C2×#106C2311yescharacteristic
440C2×C4⋊C8C2311yescharacteristic
441C2×C4⋊C8C2311yescharacteristic
442#418—24no—
443#418—42no—
444#416—42no—
445C2×#103C2311yescharacteristic
446C2×#103C2311yescharacteristic
447C2×#103C2311yescharacteristic
448C2×#103C2311yescharacteristic
449C2×#103C2311yescharacteristic
450C2×#102—24no—
451C2×#102C2311yescharacteristic
452C2×#102C2311yescharacteristic
453C2×#102C2311yescharacteristic
454C2×#102C2311yescharacteristic
455C2×#102C2311yescharacteristic
456C2×#102C2311yescharacteristic
457C2×#102C2311yescharacteristic
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
474C2×#102C2311yescharacteristic
475C2×#102C2311yescharacteristic
476C2×#102C2311yescharacteristic
477C2×#102C2311yescharacteristic
478#408—42no—
479#408—42no—
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
492C2×C22⋊C8C2311yescharacteristic
493C2×C22⋊C8C2311yescharacteristic
494C2×C22⋊C8C2311yescharacteristic
495C2×C22⋊C8C2311yescharacteristic
496C2×#97C2311yescharacteristic
497C2×#97C2311yescharacteristic
498#394—21no—
499#394—21no—
500#394—21no—
501#394—21no—
502#394—21no—
503#394—21no—
504#393—21no—
505#393—21no—
506#392—21no—
507#392—21no—
508#392—21no—
509#392—21no—
510#392—21no—
511#392—21no—
512#392—21no—
513#392—21no—
514#392—21no—
515#392—21no—
516#392—21no—
517#392—21no—
518#390—21no—
519#390—21no—
520#390—21no—
521#390—21no—
522#390—21no—
523#390—21no—
524#390C2311yescharacteristic
525#390C2311yescharacteristic
526#390C2311yescharacteristic
527#389C2311yescharacteristic
528#388—21no—
529#388—21no—
530#388—21no—
531#388—21no—
532#388—21no—
533#386—21no—
534#384C2311yescharacteristic
535#380—21no—
536#380C2311yescharacteristic
537#380C2311yescharacteristic
538#380C2311yescharacteristic
539#380C2311yescharacteristic
540#380C2311yescharacteristic
541#379—21no—
542#379—21no—
543C4×C4⋊C4—21no—
544C4×C4⋊C4C2311yescharacteristic
545C4×C22⋊C4—21no—
546#340C2311yescharacteristic
547#340C2311yescharacteristic
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#336C2311yescharacteristic
563#336C2311yescharacteristic
564#336C2311yescharacteristic
565#336C2311yescharacteristic
566C25—21no—
567C25—21no—
568C25—21no—
569C25—21no—
570C2×#41—28no—
571C2×#41—28no—
572C2×#41—22no—
573C2×#41—22no—
574C2×#41—22no—
575C2×#41—22no—
576C2×#41—22no—
577C2×#41—22no—
578C2×#41—22no—
579C2×#41—41no—
580C2×#41—41no—
581C2×#41—41no—
582C2×#41—41no—
583C2×#41—41no—
584C2×#41—41no—
585C2×#41—41no—
586C2×#41—41no—
587C2×#41—41no—
588C2×#41—41no—
589C2×#41—41no—
590C2×#41—41no—
591C2×#41—41no—
592C2×#41—41no—
593C2×#41—41no—
594C2×#41—41no—
595C2×#41—82no—
596C2×#41—82no—
597C2×#41—82no—
598C2×#41—82no—
599C2×#41C2×D414yes—
600C22×Q8—21no—
601C22×Q8C2×D411yescharacteristic
602C22×Q8C2×D411yescharacteristic
603C22×Q8C2411yescharacteristic
604C22×D4—28no—
605C22×D4—21no—
606C22×D4—21no—
607C22×D4—21no—
608C22×D4—21no—
609C22×D4—21no—
610C22×D4—21no—
611C22×D4—21no—
612C22×D4—21no—
613C22×D4—21no—
614C22×D4—21no—
615C22×D4—21no—
616C22×D4—21no—
617C22×D4—22no—
618C22×D4—22no—
619C22×D4—22no—
620C22×D4—22no—
621C22×D4—21no—
622C22×D4—21no—
623C22×D4—21no—
624C22×D4—21no—
625C22×D4—21no—
626C22×D4—21no—
627C22×D4—21no—
628C22×D4—21no—
629C22×D4—21no—
630C22×D4—21no—
631C22×D4—21no—
632C22×D4—21no—
633C22×D4—21no—
634C22×D4—21no—
635C22×D4—22no—
636C22×D4—22no—
637C22×D4—22no—
638C22×D4—22no—
639C22×D4—22no—
640C22×D4—21no—
641C22×D4—21no—
642C22×D4—21no—
643C22×D4—21no—
644C22×D4—41no—
645C22×D4—41no—
646C22×D4—41no—
647C22×D4—41no—
648C22×D4—41no—
649C22×D4—41no—
650C22×D4—41no—
651C22×D4—41no—
652C22×D4—41no—
653C22×D4—41no—
654C22×D4—41no—
655C22×D4—41no—
656C22×D4—41no—
657C22×D4—41no—
658C22×D4—44no—
659C22×D4—82no—
660C22×D4—82no—
661C22×D4—82no—
662C22×D4—82no—
663C22×D4C2×D411yescharacteristic
664C22×D4C2×D411yescharacteristic
665C22×D4C2×D411yescharacteristic
666C22×D4C2×D411yescharacteristic
667C22×D4C2×D411yescharacteristic
668C22×D4C2×D411yescharacteristic
669C22×D4C2×D411yescharacteristic
670C22×D4C2×D411yescharacteristic
671C22×D4C2×D411yescharacteristic
672C22×D4C2×D414yes—
673C22×D4C2×D411yescharacteristic
674C22×D4C2411yescharacteristic
675C22×D4C2411yescharacteristic
676C22×D4C2411yescharacteristic
677C22×D4C2411yescharacteristic
678C22×D4C2411yescharacteristic
679C22×D4C2411yescharacteristic
680C23×C4—21no—
681C23×C4—21no—
682C23×C4—21no—
683C23×C4—21no—
684C23×C4—21no—
685C23×C4—21no—
686C23×C4—21no—
687C23×C4—21no—
688C23×C4C2×D411yescharacteristic
689C23×C4C2×D411yescharacteristic
690C23×C4C2411yescharacteristic
691C23×C4C2411yescharacteristic
692C23×C4C2411yescharacteristic
693C23×C4C2411yescharacteristic
694C23×C4C2411yescharacteristic
695AGL(1,ℤ/8)—416no—
696C2×SD16—22no—
697C2×SD16—22no—
698C2×SD16—22no—
699C2×SD16—22no—
700C2×SD16—22no—
701C2×SD16—41no—
702C2×SD16—41no—
703C2×SD16—41no—
704C2×SD16—41no—
705C2×D8—22no—
706C2×D8—22no—
707C2×D8—22no—
708C2×D8—22no—
709C2×D8—22no—
710C2×D8—22no—
711C2×D8—22no—
712C2×D8—22no—
713C2×D8—22no—
714C2×D8—22no—
715C2×D8—22no—
716C2×D8—22no—
717C2×D8—22no—
718C2×D8—22no—
719C2×D8—41no—
720C2×D8—41no—
721C2×D8—41no—
722C2×D8—41no—
723C2×D8—41no—
724C2×D8—41no—
725C2×D8—41no—
726C2×D8—41no—
727C2×D8—41no—
728C2×D8—41no—
729C2×D8—41no—
730C2×D8—41no—
731C2×D8—41no—
732C2×D8—416no—
733C2×M16—22no—
734C2×M16—22no—
735C2×M16—22no—
736C2×M16—41no—
737C2×M16—41no—
738C2×M16—41no—
739C22×C8—22no—
740C22×C8—22no—
741C22×C8—22no—
742C22×C8—41no—
743C22×C8—41no—
744C22×C8—41no—
745C22×C8C2411yescharacteristic
746C22×C8C2411yescharacteristic
747C22×C8C2411yescharacteristic
748C22×C8C2411yescharacteristic
749C22×C8C2411yescharacteristic
750C22×C8C2411yescharacteristic
751C22×C8C2411yescharacteristic
752C22×C8C2411yescharacteristic
753C4⋊Q8—24no—
754C4⋊Q8—22no—
755C4⋊Q8—22no—
756#127—28no—
757#127—28no—
758#127—28no—
759#127—24no—
760#127—22no—
761#127—22no—
762#127—22no—
763#127—22no—
764#127—44no—
765#127—44no—
766#127—82no—
767#126—28no—
768#126—28no—
769#126—28no—
770#126—28no—
771#126—28no—
772#125—22no—
773#125C2×D414yes—
774#124—28no—
775#124—28no—
776#124—28no—
777#124—28no—
778#124—24no—
779#124—24no—
780#124—22no—
781#124—44no—
782#124—44no—
783#124C2×D414yes—
784#123—28no—
785#123—28no—
786#123—28no—
787#123—28no—
788#123—28no—
789#123—28no—
790#123—28no—
791C22⋊Q8—28no—
792C22⋊Q8—28no—
793C22⋊Q8—28no—
794C22⋊Q8—22no—
795C22⋊Q8—22no—
796C22⋊Q8—22no—
797C22⋊Q8—22no—
798C22⋊Q8—22no—
799C22⋊Q8C2×D414yes—
800#121—28no—
801#121—28no—
802#121—28no—
803#121—28no—
804#121—28no—
805#121—28no—
806#121—28no—
807#121—28no—
808#121—28no—
809#121—28no—
810#121—28no—
811#121—28no—
812#121—28no—
813#121—24no—
814#121—22no—
815#121—22no—
816#121—22no—
817#121—22no—
818#121—22no—
819#121—22no—
820#121—22no—
821#121—22no—
822#121—22no—
823#121—22no—
824#121—24no—
825#121—22no—
826#121—22no—
827#121—22no—
828#121—22no—
829#121—22no—
830#121—22no—
831#121—22no—
832#121—28no—
833#121—24no—
834#121—24no—
835#121—22no—
836#121—22no—
837#121—22no—
838#121—22no—
839#121—22no—
840#121—22no—
841#121—22no—
842#121—22no—
843#121—41no—
844#121—41no—
845#121—41no—
846#121—41no—
847#121—41no—
848#121—41no—
849#121—41no—
850#121—41no—
851#121—44no—
852#121—41no—
853#121—41no—
854#121—41no—
855#121—41no—
856#121—82no—
857#121—82no—
858#121—82no—
859#121C2×D414yes—
860#121C2×D414yes—
861#121C2×D414yes—
862#120—28no—
863#120—28no—
864#120—28no—
865#120—28no—
866#120—28no—
867#120—28no—
868#120—28no—
869#120—28no—
870#120—44no—
871#120—44no—
872#120—44no—
873#120—44no—
874#120—44no—
875#120—44no—
876#120—82no—
877#120—82no—
878C4×Q8—28no—
879C4×Q8—22no—
880C4×Q8—22no—
881C4×D4—28no—
882C4×D4—28no—
883C4×D4—28no—
884C4×D4—28no—
885C4×D4—22no—
886C4×D4—22no—
887C4×D4—22no—
888C4×D4—22no—
889C4×D4—22no—
890C4×D4—22no—
891C4×D4—28no—
892C4×D4—22no—
893C4×D4—22no—
894C4×D4—22no—
895C4×D4—22no—
896C4×D4—22no—
897C4×D4—22no—
898C4×D4—82no—
899C4×D4C2×D414yes—
900C4×D4C2×D414yes—
901C4×D4C2×D414yes—
902C4×D4C2×D414yes—
903#117—28no—
904#117—22no—
905#117—22no—
906#117—22no—
907#117—22no—
908#117—22no—
909#117—41no—
910#117—41no—
911#117C2×D414yes—
912C2×C4⋊C4—21no—
913C2×C4⋊C4—21no—
914C2×C4⋊C4—22no—
915C2×C4⋊C4—21no—
916C2×C4⋊C4—21no—
917C2×C4⋊C4—21no—
918C2×C4⋊C4—21no—
919C2×C4⋊C4—21no—
920C2×C4⋊C4—21no—
921C2×C4⋊C4—21no—
922C2×C4⋊C4—22no—
923C2×C4⋊C4—22no—
924C2×C4⋊C4—21no—
925C2×C4⋊C4—21no—
926C2×C4⋊C4—21no—
927C2×C4⋊C4C2×D411yescharacteristic
928C2×C4⋊C4C2×D411yescharacteristic
929C2×C4⋊C4C2×D411yescharacteristic
930C2×C4⋊C4C2×D414yes—
931C2×C4⋊C4C2×D411yescharacteristic
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2411yescharacteristic
941C2×C22⋊C4—28no—
942C2×C22⋊C4—21no—
943C2×C22⋊C4—21no—
944C2×C22⋊C4—21no—
945C2×C22⋊C4—21no—
946C2×C22⋊C4—21no—
947C2×C22⋊C4—21no—
948C2×C22⋊C4—21no—
949C2×C22⋊C4—21no—
950C2×C22⋊C4—21no—
951C2×C22⋊C4—21no—
952C2×C22⋊C4—21no—
953C2×C22⋊C4—21no—
954C2×C22⋊C4—21no—
955C2×C22⋊C4—21no—
956C2×C22⋊C4—21no—
957C2×C22⋊C4—21no—
958C2×C22⋊C4—21no—
959C2×C22⋊C4—21no—
960C2×C22⋊C4—21no—
961C2×C22⋊C4—21no—
962C2×C22⋊C4—28no—
963C2×C22⋊C4—21no—
964C2×C22⋊C4—21no—
965C2×C22⋊C4—21no—
966C2×C22⋊C4—21no—
967C2×C22⋊C4—21no—
968C2×C22⋊C4—21no—
969C2×C22⋊C4—21no—
970C2×C22⋊C4—21no—
971C2×C22⋊C4—21no—
972C2×C22⋊C4—21no—
973C2×C22⋊C4—21no—
974C2×C22⋊C4—21no—
975C2×C22⋊C4—21no—
976C2×C22⋊C4—21no—
977C2×C22⋊C4—21no—
978C2×C22⋊C4—21no—
979C2×C22⋊C4—21no—
980C2×C22⋊C4—21no—
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⋊C4C2×D411yescharacteristic
988C2×C22⋊C4C2×D411yescharacteristic
989C2×C22⋊C4C2×D411yescharacteristic
990C2×C22⋊C4C2×D411yescharacteristic
991C2×C22⋊C4C2×D411yescharacteristic
992C2×C22⋊C4C2×D411yescharacteristic
993C2×C22⋊C4C2×D411yescharacteristic
994C2×C22⋊C4C2×D411yescharacteristic
995C2×C42—21no—
996C2×C42—21no—
997C2×C42—21no—
998C2×C42—22no—
999C2×C42—22no—
1000C2×C42—21no—
1001C2×C42—21no—
1002C2×C42—21no—
1003C2×C42C2×D411yescharacteristic
1004C2×C42C2×D411yescharacteristic
1005C2×C42C2411yescharacteristic
1006C2×C42C2411yescharacteristic
1007#107—22no—
1008#106—22no—
1009#106—22no—
1010#106—22no—
1011C4⋊C8—22no—
1012C4⋊C8—22no—
1013#103—22no—
1014#103—22no—
1015#103—41no—
1016#103—41no—
1017#103—41no—
1018#102—22no—
1019#102—22no—
1020#102—22no—
1021#102—22no—
1022#102—22no—
1023#102—22no—
1024#102—22no—
1025#102—22no—
1026#102—22no—
1027#102—22no—
1028#102—22no—
1029#102—22no—
1030#102—22no—
1031#102—22no—
1032#102—22no—
1033#102—22no—
1034#102—22no—
1035#102—22no—
1036#102—22no—
1037#102—41no—
1038#102—41no—
1039#102—41no—
1040#102—41no—
1041#102—41no—
1042#102—41no—
1043#102—41no—
1044#102—41no—
1045C22⋊C8—22no—
1046C22⋊C8—22no—
1047C22⋊C8—22no—
1048C22⋊C8—22no—
1049C22⋊C8—22no—
1050C22⋊C8—22no—
1051C22⋊C8—22no—
1052C22⋊C8—41no—
1053C22⋊C8—41no—
1054C22⋊C8—41no—
1055C22⋊C8—41no—
1056C22⋊C8—41no—
1057C22⋊C8—41no—
1058C22⋊C8—41no—
1059C22⋊C8—41no—
1060C22⋊C8—41no—
1061#97—22no—
1062#97—22no—
1063#95—21no—
1064#95—21no—
1065#95—21no—
1066#95—21no—
1067#95—21no—
1068#95—21no—
1069#95—21no—
1070C24—24no—
1071C24—21no—
1072C24—21no—
1073C24—21no—
1074C24—21no—
1075C24—24no—
1076C24—21no—
1077C24—21no—
1078C24—42no—
1079C24—42no—
1080C24—42no—
1081C24—42no—
1082C24—81no—
1083C24—81no—
1084C24—81no—
1085C24—81no—
1086C24—81no—
1087C24—81no—
1088C24—81no—
1089C24—81no—
1090C24—81no—
1091C24—81no—
1092C24—81no—
1093C24—81no—
1094C24—81no—
1095C24—81no—
1096C24—81no—
1097C24—81no—
1098C24—81no—
1099C24—81no—
1100C24—81no—
1101C24—81no—
1102C24—81no—
1103C24—81no—
1104C24C22×D411yescharacteristic
1105C24C22×D411yescharacteristic
1106C24C22×D411yescharacteristic
1107C24C22×D411yescharacteristic
1108C24C22×D411yescharacteristic
1109#41—44no—
1110#41—44no—
1111#41—82no—
1112#41—82no—
1113#41—82no—
1114#41—82no—
1115#41—82no—
1116#41—82no—
1117#41—82no—
1118#41—82no—
1119#41—82no—
1120#41—82no—
1121#41—82no—
1122#41—82no—
1123#41—82no—
1124#41—82no—
1125#41—816no—
1126#41—816no—
1127C2×Q8—24no—
1128C2×Q8—22no—
1129C2×Q8—22no—
1130C2×Q8—21no—
1131C2×Q8—21no—
1132C2×Q8—21no—
1133C2×Q8—21no—
1134C2×Q8—21no—
1135C2×Q8—41no—
1136C2×Q8—41no—
1137C2×Q8—41no—
1138C2×Q8—41no—
1139C2×Q8—42no—
1140C2×Q8—42no—
1141C2×Q8C22×D412yes—
1142C2×D4—24no—
1143C2×D4—22no—
1144C2×D4—22no—
1145C2×D4—24no—
1146C2×D4—24no—
1147C2×D4—24no—
1148C2×D4—24no—
1149C2×D4—24no—
1150C2×D4—24no—
1151C2×D4—24no—
1152C2×D4—24no—
1153C2×D4—24no—
1154C2×D4—24no—
1155C2×D4—24no—
1156C2×D4—22no—
1157C2×D4—22no—
1158C2×D4—22no—
1159C2×D4—24no—
1160C2×D4—24no—
1161C2×D4—24no—
1162C2×D4—22no—
1163C2×D4—22no—
1164C2×D4—22no—
1165C2×D4—24no—
1166C2×D4—22no—
1167C2×D4—22no—
1168C2×D4—22no—
1169C2×D4—21no—
1170C2×D4—21no—
1171C2×D4—21no—
1172C2×D4—21no—
1173C2×D4—21no—
1174C2×D4—21no—
1175C2×D4—21no—
1176C2×D4—21no—
1177C2×D4—21no—
1178C2×D4—21no—
1179C2×D4—21no—
1180C2×D4—21no—
1181C2×D4—21no—
1182C2×D4—21no—
1183C2×D4—21no—
1184C2×D4—21no—
1185C2×D4—21no—
1186C2×D4—21no—
1187C2×D4—21no—
1188C2×D4—21no—
1189C2×D4—21no—
1190C2×D4—21no—
1191C2×D4—21no—
1192C2×D4—21no—
1193C2×D4—21no—
1194C2×D4—21no—
1195C2×D4—21no—
1196C2×D4—21no—
1197C2×D4—21no—
1198C2×D4—21no—
1199C2×D4—21no—
1200C2×D4—21no—
1201C2×D4—44no—
1202C2×D4—44no—
1203C2×D4—44no—
1204C2×D4—44no—
1205C2×D4—44no—
1206C2×D4—44no—
1207C2×D4—41no—
1208C2×D4—41no—
1209C2×D4—41no—
1210C2×D4—41no—
1211C2×D4—42no—
1212C2×D4—41no—
1213C2×D4—41no—
1214C2×D4—41no—
1215C2×D4—41no—
1216C2×D4—41no—
1217C2×D4—41no—
1218C2×D4—41no—
1219C2×D4—41no—
1220C2×D4—41no—
1221C2×D4—41no—
1222C2×D4—41no—
1223C2×D4—41no—
1224C2×D4—41no—
1225C2×D4—41no—
1226C2×D4—42no—
1227C2×D4—42no—
1228C2×D4—42no—
1229C2×D4—42no—
1230C2×D4—42no—
1231C2×D4—42no—
1232C2×D4—42no—
1233C2×D4—42no—
1234C2×D4—42no—
1235C2×D4—42no—
1236C2×D4—42no—
1237C2×D4—42no—
1238C2×D4—42no—
1239C2×D4—42no—
1240C2×D4—42no—
1241C2×D4—42no—
1242C2×D4—42no—
1243C2×D4—82no—
1244C2×D4—82no—
1245C2×D4—82no—
1246C2×D4—82no—
1247C2×D4—82no—
1248C2×D4—82no—
1249C2×D4—81no—
1250C2×D4—81no—
1251C2×D4—81no—
1252C2×D4—81no—
1253C2×D4—81no—
1254C2×D4—81no—
1255C2×D4—81no—
1256C2×D4—81no—
1257C2×D4—81no—
1258C2×D4—81no—
1259C2×D4—82no—
1260C2×D4—82no—
1261C2×D4—82no—
1262C2×D4—82no—
1263C2×D4—816no—
1264C2×D4—81no—
1265C2×D4—81no—
1266C2×D4—81no—
1267C2×D4—81no—
1268C2×D4—81no—
1269C2×D4—81no—
1270C2×D4—81no—
1271C2×D4—81no—
1272C2×D4—81no—
1273C2×D4—81no—
1274C2×D4—81no—
1275C2×D4—81no—
1276C2×D4—81no—
1277C2×D4—81no—
1278C2×D4—81no—
1279C2×D4—81no—
1280C2×D4—81no—
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—81no—
1290C2×D4—81no—
1291C2×D4—81no—
1292C2×D4—81no—
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—816no—
1311C2×D4#12014yes—
1312C2×D4C22×D412yes—
1313C2×D4C22×D412yes—
1314C2×D4C22×D412yes—
1315C2×D4H(5,𝔽2)12yes—
1316C22×C4—21no—
1317C22×C4—21no—
1318C22×C4—21no—
1319C22×C4—21no—
1320C22×C4—21no—
1321C22×C4—21no—
1322C22×C4—21no—
1323C22×C4—21no—
1324C22×C4—24no—
1325C22×C4—21no—
1326C22×C4—21no—
1327C22×C4—21no—
1328C22×C4—21no—
1329C22×C4—21no—
1330C22×C4—21no—
1331C22×C4—24no—
1332C22×C4—24no—
1333C22×C4—24no—
1334C22×C4—22no—
1335C22×C4—22no—
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—21no—
1346C22×C4—21no—
1347C22×C4—21no—
1348C22×C4—21no—
1349C22×C4—21no—
1350C22×C4—21no—
1351C22×C4—21no—
1352C22×C4—21no—
1353C22×C4—21no—
1354C22×C4—22no—
1355C22×C4—24no—
1356C22×C4—24no—
1357C22×C4—24no—
1358C22×C4—21no—
1359C22×C4—21no—
1360C22×C4—21no—
1361C22×C4—21no—
1362C22×C4—41no—
1363C22×C4—41no—
1364C22×C4—41no—
1365C22×C4—42no—
1366C22×C4—42no—
1367C22×C4—42no—
1368C22×C4—42no—
1369C22×C4—42no—
1370C22×C4—81no—
1371C22×C4—81no—
1372C22×C4—81no—
1373C22×C4—81no—
1374C22×C4—81no—
1375C22×C4—81no—
1376C22×C4—81no—
1377C22×C4—81no—
1378C22×C4—81no—
1379C22×C4—81no—
1380C22×C4—81no—
1381C22×C4—81no—
1382C22×C4C22×D411yescharacteristic
1383C22×C4C22×D411yescharacteristic
1384C22×C4C22×D411yescharacteristic
1385C22×C4C22×D411yescharacteristic
1386C22×C4C22×D411yescharacteristic
1387C22×C4C22×D411yescharacteristic
1388C22×C4C22×D411yescharacteristic
1389C22×C4C22×D411yescharacteristic
1390C22×C4C22×D412yes—
1391C22×C4C22×D412yes—
1392C22×C4C22×D412yes—
1393C22×C4C22×D412yes—
1394C22×C4C22×D411yescharacteristic
1395C22×C4C2511yescharacteristic
1396SD16—44no—
1397SD16—44no—
1398SD16—82no—
1399D8—28no—
1400D8—44no—
1401D8—44no—
1402D8—44no—
1403D8—44no—
1404D8—44no—
1405D8—82no—
1406D8—82no—
1407D8—82no—
1408M16—44no—
1409M16—82no—
1410C2×C8—21no—
1411C2×C8—21no—
1412C2×C8—21no—
1413C2×C8—21no—
1414C2×C8—21no—
1415C2×C8—21no—
1416C2×C8—21no—
1417C2×C8—21no—
1418C2×C8—21no—
1419C2×C8—21no—
1420C2×C8—21no—
1421C2×C8—21no—
1422C2×C8—21no—
1423C2×C8—21no—
1424C2×C8—21no—
1425C2×C8—21no—
1426C2×C8—21no—
1427C2×C8—21no—
1428C2×C8—21no—
1429C2×C8—21no—
1430C2×C8—21no—
1431C2×C8—21no—
1432C2×C8—21no—
1433C2×C8—44no—
1434C2×C8—82no—
1435C2×C8H(5,𝔽2)12yes—
1436C4⋊C4—24no—
1437C4⋊C4—24no—
1438C4⋊C4—24no—
1439C4⋊C4—24no—
1440C4⋊C4—24no—
1441C4⋊C4—24no—
1442C4⋊C4—24no—
1443C4⋊C4—24no—
1444C4⋊C4—24no—
1445C4⋊C4—22no—
1446C4⋊C4—22no—
1447C4⋊C4—22no—
1448C4⋊C4—21no—
1449C4⋊C4—21no—
1450C4⋊C4—21no—
1451C4⋊C4—21no—
1452C4⋊C4—21no—
1453C4⋊C4—21no—
1454C4⋊C4—21no—
1455C4⋊C4—21no—
1456C4⋊C4—21no—
1457C4⋊C4—21no—
1458C4⋊C4—21no—
1459C4⋊C4—21no—
1460C4⋊C4—21no—
1461C4⋊C4—42no—
1462C4⋊C4—81no—
1463C4⋊C4—81no—
1464C4⋊C4#12014yes—
1465C4⋊C4C22×D412yes—
1466C4⋊C4C22×D412yes—
1467C4⋊C4C22×D412yes—
1468C4⋊C4C22×D412yes—
1469C4⋊C4H(5,𝔽2)12yes—
1470C22⋊C4—24no—
1471C22⋊C4—24no—
1472C22⋊C4—24no—
1473C22⋊C4—24no—
1474C22⋊C4—24no—
1475C22⋊C4—24no—
1476C22⋊C4—24no—
1477C22⋊C4—24no—
1478C22⋊C4—24no—
1479C22⋊C4—24no—
1480C22⋊C4—24no—
1481C22⋊C4—24no—
1482C22⋊C4—24no—
1483C22⋊C4—22no—
1484C22⋊C4—22no—
1485C22⋊C4—24no—
1486C22⋊C4—22no—
1487C22⋊C4—24no—
1488C22⋊C4—24no—
1489C22⋊C4—24no—
1490C22⋊C4—24no—
1491C22⋊C4—24no—
1492C22⋊C4—24no—
1493C22⋊C4—22no—
1494C22⋊C4—22no—
1495C22⋊C4—22no—
1496C22⋊C4—42no—
1497C22⋊C4—42no—
1498C22⋊C4—42no—
1499C22⋊C4—42no—
1500C22⋊C4—42no—
1501C22⋊C4—42no—
1502C22⋊C4—42no—
1503C22⋊C4—42no—
1504C22⋊C4—42no—
1505C22⋊C4—42no—
1506C22⋊C4—42no—
1507C22⋊C4—42no—
1508C22⋊C4—42no—
1509C22⋊C4—42no—
1510C22⋊C4—81no—
1511C22⋊C4—81no—
1512C22⋊C4—81no—
1513C22⋊C4—81no—
1514C22⋊C4—81no—
1515C22⋊C4—81no—
1516C22⋊C4—81no—
1517C22⋊C4—81no—
1518C22⋊C4—81no—
1519C22⋊C4—81no—
1520C22⋊C4#12014yes—
1521C22⋊C4#12014yes—
1522C42—24no—
1523C42—24no—
1524C42—22no—
1525C42—22no—
1526C42—24no—
1527C42—21no—
1528C42—21no—
1529C42—42no—
1530C42—42no—
1531C42—42no—
1532C42C22×D412yes—
1533C42C22×D412yes—
1534C23—21no—
1535C23—21no—
1536C23—21no—
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—22no—
1557C23—22no—
1558C23—22no—
1559C23—21no—
1560C23—21no—
1561C23—22no—
1562C23—21no—
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—21no—
1569C23—21no—
1570C23—21no—
1571C23—41no—
1572C23—41no—
1573C23—41no—
1574C23—41no—
1575C23—41no—
1576C23—41no—
1577C23—41no—
1578C23—41no—
1579C23—41no—
1580C23—41no—
1581C23—41no—
1582C23—41no—
1583C23—41no—
1584C23—41no—
1585C23—41no—
1586C23—41no—
1587C23—41no—
1588C23—41no—
1589C23—41no—
1590C23—41no—
1591C23—41no—
1592C23—41no—
1593C23—41no—
1594C23—41no—
1595C23—41no—
1596C23—41no—
1597C23—41no—
1598C23—41no—
1599C23—41no—
1600C23—41no—
1601C23—41no—
1602C23—41no—
1603C23—41no—
1604C23—41no—
1605C23—41no—
1606C23—41no—
1607C23—41no—
1608C23—41no—
1609C23—84no—
1610C23—84no—
1611C23—84no—
1612C23—84no—
1613C23—84no—
1614C23—84no—
1615C23—84no—
1616C23—84no—
1617C23—84no—
1618C23—84no—
1619C23—162no—
1620C23—162no—
1621C23—162no—
1622C23—162no—
1623C23—162no—
1624C23—162no—
1625C23—162no—
1626C23—162no—
1627C23—162no—
1628C23—162no—
1629C23—162no—
1630C23—162no—
1631C23—162no—
1632C23—162no—
1633C23—162no—
1634C23—162no—
1635C23—162no—
1636C23—162no—
1637C23C2×#12012yes—
1638C23C2×#12012yes—
1639C23C23×D411yescharacteristic
1640Q8—22no—
1641Q8—22no—
1642Q8—48no—
1643Q8—41no—
1644Q8—41no—
1645Q8—82no—
1646Q8—82no—
1647D4—22no—
1648D4—22no—
1649D4—22no—
1650D4—22no—
1651D4—22no—
1652D4—22no—
1653D4—22no—
1654D4—22no—
1655D4—44no—
1656D4—44no—
1657D4—44no—
1658D4—48no—
1659D4—41no—
1660D4—41no—
1661D4—41no—
1662D4—41no—
1663D4—41no—
1664D4—41no—
1665D4—41no—
1666D4—41no—
1667D4—41no—
1668D4—41no—
1669D4—41no—
1670D4—41no—
1671D4—41no—
1672D4—41no—
1673D4—41no—
1674D4—41no—
1675D4—82no—
1676D4—84no—
1677D4—82no—
1678D4—82no—
1679D4—84no—
1680D4—84no—
1681D4—84no—
1682D4—82no—
1683D4—82no—
1684D4—82no—
1685D4—82no—
1686D4—84no—
1687D4—84no—
1688D4—84no—
1689D4—84no—
1690D4—84no—
1691D4—84no—
1692D4—84no—
1693D4—84no—
1694D4—84no—
1695D4—84no—
1696D4—84no—
1697D4—84no—
1698D4—84no—
1699D4—84no—
1700D4—84no—
1701D4—84no—
1702D4—162no—
1703D4—162no—
1704D4—162no—
1705D4—162no—
1706D4—162no—
1707D4—162no—
1708D4—162no—
1709D4—162no—
1710D4—162no—
1711C2×C4—21no—
1712C2×C4—21no—
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—21no—
1730C2×C4—21no—
1731C2×C4—22no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—22no—
1736C2×C4—22no—
1737C2×C4—22no—
1738C2×C4—21no—
1739C2×C4—22no—
1740C2×C4—22no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—44no—
1748C2×C4—48no—
1749C2×C4—41no—
1750C2×C4—41no—
1751C2×C4—41no—
1752C2×C4—41no—
1753C2×C4—41no—
1754C2×C4—41no—
1755C2×C4—41no—
1756C2×C4—41no—
1757C2×C4—41no—
1758C2×C4—41no—
1759C2×C4—41no—
1760C2×C4—41no—
1761C2×C4—41no—
1762C2×C4—41no—
1763C2×C4—41no—
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—82no—
1786C2×C4—84no—
1787C2×C4—84no—
1788C2×C4—84no—
1789C2×C4—84no—
1790C2×C4—84no—
1791C2×C4—84no—
1792C2×C4—84no—
1793C2×C4C2×#12012yes—
1794C2×C4C2×#12012yes—
1795C2×C4C2×#12012yes—
1796C2×C4C2×#12012yes—
1797C2×C4#57612yes—
1798C2×C4C23×D411yescharacteristic
1799C2×C4C23×D411yescharacteristic
1800C2×C4C2×H(5,𝔽2)11yescharacteristic
1801C2×C4C2×H(5,𝔽2)11yescharacteristic
1802C2×C4C2×H(5,𝔽2)11yescharacteristic
1803C2×C4#58511yescharacteristic
1804C8—22no—
1805C8—41no—
1806C8—41no—
1807C8—41no—
1808C8—41no—
1809C8—41no—
1810C8—41no—
1811C8—41no—
1812C22—22no—
1813C22—22no—
1814C22—22no—
1815C22—22no—
1816C22—22no—
1817C22—22no—
1818C22—41no—
1819C22—41no—
1820C22—41no—
1821C22—41no—
1822C22—41no—
1823C22—41no—
1824C22—41no—
1825C22—41no—
1826C22—41no—
1827C22—41no—
1828C22—41no—
1829C22—42no—
1830C22—42no—
1831C22—42no—
1832C22—42no—
1833C22—41no—
1834C22—41no—
1835C22—41no—
1836C22—41no—
1837C22—41no—
1838C22—41no—
1839C22—41no—
1840C22—41no—
1841C22—42no—
1842C22—42no—
1843C22—41no—
1844C22—42no—
1845C22—41no—
1846C22—42no—
1847C22—41no—
1848C22—42no—
1849C22—42no—
1850C22—41no—
1851C22—41no—
1852C22—42no—
1853C22—41no—
1854C22—41no—
1855C22—41no—
1856C22—41no—
1857C22—41no—
1858C22—42no—
1859C22—81no—
1860C22—81no—
1861C22—81no—
1862C22—81no—
1863C22—81no—
1864C22—81no—
1865C22—81no—
1866C22—81no—
1867C22—81no—
1868C22—81no—
1869C22—81no—
1870C22—81no—
1871C22—81no—
1872C22—81no—
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—
1891C22—168no—
1892C22—168no—
1893C22C22×#12011yescharacteristic
1894C22#348411yescharacteristic
1895C22#349611yescharacteristic
1896C22C2×#57611yescharacteristic
1897C22#358511yescharacteristic
1898C22#358511yescharacteristic
1899C22#358511yescharacteristic
1900C4—22no—
1901C4—22no—
1902C4—22no—
1903C4—22no—
1904C4—22no—
1905C4—41no—
1906C4—41no—
1907C4—41no—
1908C4—42no—
1909C4—41no—
1910C4—42no—
1911C4—42no—
1912C4—42no—
1913C4—42no—
1914C4—42no—
1915C4—81no—
1916C4—81no—
1917C4—81no—
1918C4—81no—
1919C4#348411yescharacteristic
1920C4#348811yescharacteristic
1921C4#349611yescharacteristic
1922C4#349811yescharacteristic
1923C2—42no—
1924C2—42no—
1925C2—81no—
1926C2—81no—
1927C2—81no—
1928C2—82no—
1929C2—82no—
1930C2—82no—
1931C2—82no—
1932C2—161no—
1933C2—161no—
1934C2#3568011yescharacteristic
1935C2#6036911yescharacteristic
1936C2#6037211yescharacteristic
1937C2#6166911yescharacteristic
1938C2#6168811yescharacteristic
1939C2#6233411yescharacteristic
1940C2#6234911yescharacteristic
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×#3318C2semidirect
3. C2×#3264C2semidirect
4. #39342C2semidirect
5. #29660C2semidirect
6. #29606C2semidirect
7. #29602C2semidirect
8. #25770C2semidirect
9. #25605C2semidirect
10. #25581C2semidirect
11. #25549C2semidirect
12. #25540C2semidirect
13. #24440C2semidirect
14. #24435C2semidirect
15. #24397C2semidirect
16. #24390C2semidirect
17. #24257C2semidirect
18. #24159C2semidirect
19. #24136C2semidirect
20. #23979C2semidirect
21. #23960C2semidirect
22. #23925C2semidirect
23. #23924C2semidirect
24. #23869C2semidirect
25. #23848C2semidirect
26. #23573C2semidirect
27. #23393C2semidirect
28. #23387C2semidirect
29. #22498C2semidirect
30. #22424C2semidirect
31. #22403C2semidirect
32. C22×AGL(1,ℤ/8)C22semidirect
38. C2×#556C22semidirect
40. C2×#553C22semidirect
42. C2×#550C22semidirect
43. C2×#547C22semidirect
46. C2×#546C22semidirect
47. C2×D42C22semidirect
48. C2×D42C22semidirect
52. C2×#537C22semidirect
53. C2×#537C22semidirect
55. C2×#535C22semidirect
56. C2×#535C22semidirect
57. C2×#535C22semidirect
58. C2×#535C22semidirect
60. C2×#532C22semidirect
61. C2×#529C22semidirect
65. C2×#490C22semidirect
66. C2×#481C22semidirect
67. C2×#482C22semidirect
68. C2×#478C22semidirect
71. C2×#466C22semidirect
72. C2×#465C22semidirect
74. C2×#459C22semidirect
75. C2×#459C22semidirect
76. C2×#449C22semidirect
77. C2×#449C22semidirect
78. C2×#449C22semidirect
79. C2×#449C22semidirect
80. C2×#450C22semidirect
85. C2×#447C22semidirect
86. C2×#447C22semidirect
87. C2×#447C22semidirect
88. C2×#442C22semidirect
89. C2×#442C22semidirect
90. C2×#435C22semidirect
91. C2×#435C22semidirect
92. C2×#418C22semidirect
93. C2×#418C22semidirect
94. C2×#416C22semidirect
95. C22×#102C22semidirect
96. C2×#408C22semidirect
97. C2×#408C22semidirect
98. #2856C22semidirect
103. #2615C22semidirect
104. #2615C22semidirect
106. #2541C22semidirect
107. #2537C22semidirect
111. #2414C22semidirect
114. #2408C22semidirect
115. #2354C22semidirect
116. C4×#121C22semidirect
117. #2058C22semidirect
118. #2041C22semidirect
119. #2035C22semidirect
120. #2035C22semidirect
121. #2034C22semidirect
122. #2034C22semidirect
123. #2034C22semidirect
124. #2034C22semidirect
125. #2033C22semidirect
126. #2033C22semidirect
127. #2023C22semidirect
128. #2023C22semidirect
129. #2023C22semidirect
131. #2011C22semidirect
132. #2011C22semidirect
133. #2000C22semidirect
134. #2000C22semidirect
135. #2000C22semidirect
136. #2000C22semidirect
137. #2000C22semidirect
138. #2000C22semidirect
142. #1999C22semidirect
143. #1999C22semidirect
144. #1999C22semidirect
145. #1999C22semidirect
146. #1999C22semidirect
147. #1999C22semidirect
148. #1999C22semidirect
149. #1999C22semidirect
150. #1999C22semidirect
151. #1999C22semidirect
152. #1999C22semidirect
153. #1999C22semidirect
154. #1999C22semidirect
155. #1999C22semidirect
156. #1999C22semidirect
157. #1992C22semidirect
158. #1989C22semidirect
159. #1983C22semidirect
160. #1959C22semidirect
161. #1955C22semidirect
162. #1955C22semidirect
163. #1895C22semidirect
164. #1894C22semidirect
165. #1893C22semidirect
166. #1893C22semidirect
167. #1880C22semidirect
168. #1880C22semidirect
169. #1880C22semidirect
171. #1879C22semidirect
172. #1879C22semidirect
173. #1875C22semidirect
174. #1875C22semidirect
175. #1875C22semidirect
176. #1875C22semidirect
177. #1875C22semidirect
178. #1875C22semidirect
179. #1874C22semidirect
180. #1874C22semidirect
181. #1874C22semidirect
182. #1873C22semidirect
183. #1870C22semidirect
184. #1870C22semidirect
185. #1869C22semidirect
186. #1869C22semidirect
187. #1864C22semidirect
188. #1863C22semidirect
189. #1854C22semidirect
190. #1853C22semidirect
191. #1825C22semidirect
192. #1823C22semidirect
193. #1802C22semidirect
194. #1802C22semidirect
195. #1797C22semidirect
196. #1788C22semidirect
197. #1788C22semidirect
198. #1786C22semidirect
199. #1786C22semidirect
200. #1780C22semidirect
201. #1780C22semidirect
202. #1762C22semidirect
203. #1762C22semidirect
204. #1749C22semidirect
205. #1736C22semidirect
206. #1735C22semidirect
248. #553D4semidirect
258. #546D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35462
C2×#33182
C2×#32642
#393422
#296602
#296062
#296022
#257702
#256052
#255812
#255492
#255402
#244402
#244352
#243972
#243902
#242572
#241592
#241362
#239792
#239602
#239252
#239242
#238692
#238482
#235732
#233932
#233872
#224982
#224242
#224032