Finite Group Databasebeta

← #6573373

Subgroups — #6573373

Order 512.

3330 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3514C211yesmaximal, characteristic, complemented
2C2×#3402C211yesmaximal, characteristic, complemented
3C2×#3401C211yesmaximal, characteristic, complemented
4#36504C211yesmaximal, characteristic, complemented
5#29666C211yesmaximal, characteristic, complemented
6#29666C211yesmaximal, characteristic, complemented
7#29665C211yesmaximal, characteristic, complemented
8#25769C211yesmaximal, characteristic, complemented
9#25767C211yesmaximal, characteristic, complemented
10#25766C211yesmaximal, characteristic, complemented
11#25763C211yesmaximal, characteristic, complemented
12#25762C211yesmaximal, characteristic, complemented
13#25761C211yesmaximal, characteristic, complemented
14#25730C211yesmaximal, characteristic, complemented
15#25727C211yesmaximal, characteristic, complemented
16#25724C211yesmaximal, characteristic, complemented
17#24257C211yesmaximal, characteristic, complemented
18#24256C211yesmaximal, characteristic, complemented
19#24255C211yesmaximal, characteristic, complemented
20#24252C211yesmaximal, characteristic, complemented
21#24247C211yesmaximal, characteristic, complemented
22#24246C211yesmaximal, characteristic, complemented
23#24217C211yesmaximal, characteristic, complemented
24#24215C211yesmaximal, characteristic, complemented
25#24213C211yesmaximal, characteristic, complemented
26#23578C211yesmaximal, characteristic, complemented
27#23575C211yesmaximal, characteristic, complemented
28#23572C211yesmaximal, characteristic, complemented
29#22549C211yesmaximal, characteristic, complemented
30#22548C211yesmaximal, characteristic, complemented
31#22532C211yesmaximal, characteristic, complemented
32#3514—28no—
33#3514—28no—
34C2×#559C2211yescharacteristic
35C2×#556C2211yescharacteristic
36C2×#556C2211yescharacteristic, complemented
37C2×#555—21no—
38C2×#551—21no—
39C2×#551—21no—
40C2×D4×Q8C2211yescharacteristic
41C2×#548C2211yescharacteristic
42C2×#548C2211yescharacteristic
43C2×#546—21no—
44C2×#546C2211yescharacteristic
45C2×#546C2211yescharacteristic
46C2×D42C2211yescharacteristic
47C2×#542—21no—
48C2×#538—21no—
49C2×#538—21no—
50C2×#532C2211yescharacteristic
51C2×#529C2211yescharacteristic
52C2×#529C2211yescharacteristic
53C2×#529C2211yescharacteristic
54C22×#124C2211yescharacteristic
55C22×#124C2211yescharacteristic
56C2×#518—21no—
57C2×C4×#41C2211yescharacteristic
58#3402—28no—
59#3401—28no—
60C2×#497C2211yescharacteristic
61C2×#497C2211yescharacteristic, complemented
62C2×#497C2211yescharacteristic, complemented
63C2×#496C2211yescharacteristic
64C2×#495C2211yescharacteristic
65C2×#495C2211yescharacteristic, complemented
66C2×#464C2211yescharacteristic
67C2×#464C2211yescharacteristic, complemented
68C2×#464C2211yescharacteristic, complemented
69C2×#464C2211yescharacteristic, complemented
70C2×#462C2211yescharacteristic, complemented
71C2×#462C2211yescharacteristic, complemented
72C2×#460C2211yescharacteristic
73C2×#463C2211yescharacteristic
74C2×#463C2211yescharacteristic
75C2×#463C2211yescharacteristic, complemented
76C2×#463C2211yescharacteristic, complemented
77C2×#461C2211yescharacteristic, complemented
78C2×#452C2211yescharacteristic, complemented
79C2×#452C2211yescharacteristic, complemented
80C2×#452C2211yescharacteristic, complemented
81C2×#452C2211yescharacteristic, complemented
82C2×#449C2211yescharacteristic, complemented
83C2×#449C2211yescharacteristic, complemented
84C2×#451C2211yescharacteristic, complemented
85C2×#451C2211yescharacteristic, complemented
86C2×#451C2211yescharacteristic, complemented
87C2×#451C2211yescharacteristic, complemented
88C2×#448C2211yescharacteristic, complemented
89C2×#448C2211yescharacteristic, complemented
90C2×#450C2211yescharacteristic
91C2×#450C2211yescharacteristic
92C2×#450C2211yescharacteristic
93C2×#450C2211yescharacteristic
94C2×#447C2211yescharacteristic
95C2×#447C2211yescharacteristic
96C2×#446C2211yescharacteristic, complemented
97C2×#446C2211yescharacteristic, complemented
98C2×#442C2211yescharacteristic, complemented
99C2×#441C2211yescharacteristic, complemented
100C2×#440C2211yescharacteristic
101C2×#440C2211yescharacteristic, complemented
102C2×C4×Q16C2211yescharacteristic, complemented
103C2×C4×SD16C2211yescharacteristic, complemented
104#2857C2211yescharacteristic, complemented
105#2850C2211yescharacteristic, complemented
106#2850C2211yescharacteristic, complemented
107#2542C2211yescharacteristic, complemented
108#2540C2211yescharacteristic
109#2540C2211yescharacteristic, complemented
110#2537C2211yescharacteristic, complemented
111#2536C2211yescharacteristic
112#2536C2211yescharacteristic, complemented
113#2479—21no—
114#2479—21no—
115#2467—21no—
116#2467—21no—
117#2423—21no—
118#2407—21no—
119#2363—21no—
120#2355C2211yescharacteristic, complemented
121#2354—21no—
122C4×C22⋊Q8C2211yescharacteristic, complemented
123C4×C22⋊Q8C2211yescharacteristic, complemented
124C4×#121C2211yescharacteristic, complemented
125#2059C2211yescharacteristic, complemented
126#2042C2211yescharacteristic
127#2042C2211yescharacteristic, complemented
128#2042C2211yescharacteristic, complemented
129#2036C2211yescharacteristic, complemented
130#2035C2211yescharacteristic, complemented
131#2035C2211yescharacteristic, complemented
132#2034C2211yescharacteristic
133#2033C2211yescharacteristic
134#2033C2211yescharacteristic
135#2026C2211yescharacteristic, complemented
136#2026C2211yescharacteristic, complemented
137#2025C2211yescharacteristic, complemented
138#2015C2211yescharacteristic
139#2015C2211yescharacteristic
140#2015C2211yescharacteristic, complemented
141#2015C2211yescharacteristic, complemented
142#2015C2211yescharacteristic, complemented
143#2015C2211yescharacteristic, complemented
144#2012C2211yescharacteristic
145#2012C2211yescharacteristic, complemented
146#2012C2211yescharacteristic, complemented
147#2001C2211yescharacteristic, complemented
148#2001C2211yescharacteristic, complemented
149#2001C2211yescharacteristic, complemented
150#2001C2211yescharacteristic, complemented
151#2001C2211yescharacteristic, complemented
152#2001C2211yescharacteristic, complemented
153#2000C2211yescharacteristic
154#2000C2211yescharacteristic
155#2000C2211yescharacteristic
156#2000C2211yescharacteristic
157#2000C2211yescharacteristic
158#2000C2211yescharacteristic
159#2000C2211yescharacteristic, complemented
160#2000C2211yescharacteristic, complemented
161#2000C2211yescharacteristic, complemented
162#1999C2211yescharacteristic
163#1999C2211yescharacteristic
164#1999C2211yescharacteristic
165#1983C2211yescharacteristic
166#1983C2211yescharacteristic
167#1983C2211yescharacteristic, complemented
168#1983C2211yescharacteristic, complemented
169#1982C2211yescharacteristic
170#1981C2211yescharacteristic, complemented
171#1961C2211yescharacteristic
172#1960C2211yescharacteristic, complemented
173#1959C2211yescharacteristic
174#1959C2211yescharacteristic, complemented
175#1958C2211yescharacteristic
176#1958C2211yescharacteristic, complemented
177#1955C2211yescharacteristic
178#1955C2211yescharacteristic
179#1955C2211yescharacteristic, complemented
180#1955C2211yescharacteristic, complemented
181#1954C2211yescharacteristic, complemented
182#1954C2211yescharacteristic, complemented
183#1805C2211yescharacteristic, complemented
184#1805C2211yescharacteristic, complemented
185#1804C2211yescharacteristic
186#1804C2211yescharacteristic, complemented
187#1803C2211yescharacteristic, complemented
188#1802C2211yescharacteristic, complemented
189#1797C2211yescharacteristic, complemented
190#1797C2211yescharacteristic, complemented
191#1797C2211yescharacteristic, complemented
192#1788C2211yescharacteristic, complemented
193#1788C2211yescharacteristic, complemented
194#1787C2211yescharacteristic, complemented
195#1787C2211yescharacteristic, complemented
196#1786C2211yescharacteristic
197#1786C2211yescharacteristic
198#1763C2211yescharacteristic, complemented
199#1763C2211yescharacteristic, complemented
200#1762C2211yescharacteristic
201#1762C2211yescharacteristic, complemented
202C4×#103C2211yescharacteristic, complemented
203C4×#102C2211yescharacteristic, complemented
204#1749C2211yescharacteristic, complemented
205#1749C2211yescharacteristic, complemented
206C4×C22⋊C8C2211yescharacteristic, complemented
207C22×#41D411yescharacteristic
208C22×#41C2311yescharacteristic
209C22×#41C2311yescharacteristic
210C23×Q8C2311yescharacteristic
211C23×Q8C2311yescharacteristic
212C23×D4—21no—
213C23×D4C2311yescharacteristic
214C23×D4C2311yescharacteristic
215C22×Q16C2311yescharacteristic
216C22×Q16C2311yescharacteristic
217C22×Q16C2311yescharacteristic
218C22×Q16C2311yescharacteristic
219C22×Q16C2311yescharacteristic
220C22×Q16C2311yescharacteristic
221C22×SD16C2311yescharacteristic
222C22×SD16C2311yescharacteristic
223C22×SD16C2311yescharacteristic
224C22×SD16C2311yescharacteristic
225C22×SD16C2311yescharacteristic
226C22×SD16C2311yescharacteristic
227C22×SD16C2311yescharacteristic
228C22×SD16C2311yescharacteristic
229C22×SD16C2311yescharacteristic
230C22×D8C2311yescharacteristic
231C22×D8C2311yescharacteristic
232C22×D8C2311yescharacteristic
233#559—24no—
234#559D418yescomplemented
235#556—24no—
236#556—24no—
237#556—24no—
238#556D418yescomplemented
239#555—216no—
240#551—216no—
241#551—216no—
242D4×Q8—24no—
243D4×Q8—24no—
244#548—24no—
245#548—24no—
246#548—24no—
247#548—24no—
248#546—216no—
249#546—24no—
250#546—24no—
251#546—24no—
252#546—24no—
253D42—24no—
254D42—24no—
255#542—216no—
256#538—216no—
257#538—216no—
258#532—24no—
259#532—24no—
260C2×C4⋊Q8—21no—
261C2×C4⋊Q8C2311yescharacteristic
262C2×C4⋊Q8C2311yescharacteristic
263C2×#127C2311yescharacteristic
264#529—24no—
265#529—24no—
266#529—24no—
267#529—24no—
268#529—24no—
269#529—24no—
270C2×#126—21no—
271C2×#126—21no—
272C2×#126—21no—
273C2×#126—21no—
274C2×#126—21no—
275C2×#126—21no—
276C2×#126—21no—
277C2×#125C2311yescharacteristic
278C2×#124—21no—
279C2×#124—24no—
280C2×#124—24no—
281C2×#124—24no—
282C2×#124—24no—
283C2×#124—21no—
284C2×#124—21no—
285C2×#124—21no—
286C2×#124—21no—
287C2×#124—21no—
288C2×#124—21no—
289C2×#124C2311yescharacteristic
290C2×#124C2311yescharacteristic
291C2×#124C2311yescharacteristic
292C2×#124C2311yescharacteristic
293C2×#124C2311yescharacteristic
294C2×#124C2311yescharacteristic
295C2×#124C2311yescharacteristic
296C2×#124C2311yescharacteristic
297C2×#124C2311yescharacteristic
298C2×#123—21no—
299C2×#123—21no—
300C2×#123—21no—
301C2×#123—21no—
302C2×#123—21no—
303C2×#123—21no—
304C2×#123—21no—
305C2×C22⋊Q8—21no—
306C2×C22⋊Q8—21no—
307C2×C22⋊Q8—21no—
308C2×C22⋊Q8—21no—
309C2×C22⋊Q8—21no—
310C2×C22⋊Q8—21no—
311C2×C22⋊Q8C2311yescharacteristic
312C2×C22⋊Q8C2311yescharacteristic
313C2×C22⋊Q8C2311yescharacteristic
314C2×C22⋊Q8C2311yescharacteristic
315C2×C22⋊Q8C2311yescharacteristic
316C2×C22⋊Q8C2311yescharacteristic
317C2×C22⋊Q8C2311yescharacteristic
318C2×C22⋊Q8C2311yescharacteristic
319C2×C22⋊Q8C2311yescharacteristic
320C2×#121—21no—
321C2×#121—21no—
322C2×#121—21no—
323C2×#121—21no—
324C2×#121—21no—
325C2×#121—21no—
326C2×#121—21no—
327C2×#121—21no—
328C2×#121C2311yescharacteristic
329C2×#121C2311yescharacteristic
330C2×#121C2311yescharacteristic
331C2×#121C2311yescharacteristic
332C2×#121C2311yescharacteristic
333C2×#121C2311yescharacteristic
334C2×#120—21no—
335C2×#120—21no—
336C2×#120—21no—
337C2×#120—21no—
338#518—216no—
339C4×#41—24no—
340C4×#41—24no—
341C2×C4×Q8D411yescharacteristic
342C2×C4×Q8C2311yescharacteristic
343C2×C4×Q8C2311yescharacteristic
344C2×C4×Q8C2311yescharacteristic
345C2×C4×Q8C2311yescharacteristic
346C2×C4×Q8C2311yescharacteristic
347C2×C4×Q8C2311yescharacteristic
348C2×C4×D4—21no—
349C2×C4×D4—21no—
350C2×C4×D4—21no—
351C2×C4×D4—21no—
352C2×C4×D4—21no—
353C2×C4×D4—21no—
354C2×C4×D4—21no—
355C2×C4×D4—21no—
356C2×C4×D4—21no—
357C2×C4×D4—21no—
358C2×C4×D4D411yescharacteristic
359C2×C4×D4D411yescharacteristic
360C2×C4×D4D411yescharacteristic
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2311yescharacteristic
368C2×#117—21no—
369C2×#117—21no—
370C2×#117—21no—
371C2×#117—21no—
372C2×#117—21no—
373C2×#117D411yescharacteristic
374C2×#117D411yescharacteristic
375C2×#117D411yescharacteristic
376C22×C22⋊C4—21no—
377C22×C22⋊C4—21no—
378C22×C22⋊C4—21no—
379C22×C22⋊C4—21no—
380C22×C22⋊C4—21no—
381C22×C22⋊C4—21no—
382C22×C42C2311yescharacteristic
383C22×C42C2311yescharacteristic
384C22×C42C2311yescharacteristic
385#497—24no—
386#497—24no—
387#497—24no—
388#496—24no—
389#495—24no—
390#495—24no—
391#464—24no—
392#464—24no—
393#464—24no—
394#464—24no—
395#463—24no—
396#463—24no—
397#463—24no—
398#463—24no—
399#462—24no—
400#462—24no—
401#461—24no—
402#460—24no—
403#452—42no—
404#452—42no—
405#452—42no—
406#452—42no—
407#451—42no—
408#451—42no—
409#451—42no—
410#451—42no—
411#450—42no—
412#450—42no—
413#450—42no—
414#450—42no—
415#449—42no—
416#449—42no—
417#448—42no—
418#448—42no—
419#447—42no—
420#447—42no—
421#446—24no—
422#446—24no—
423#442—24no—
424#441—24no—
425#440—24no—
426#440—24no—
427C4×Q16—24no—
428C4×SD16—24no—
429C2×#107C2311yescharacteristic
430C2×#106C2311yescharacteristic
431C2×C4⋊C8C2311yescharacteristic
432C2×C4⋊C8C2311yescharacteristic
433C2×C4⋊C8C2311yescharacteristic
434C2×C4⋊C8C2311yescharacteristic
435C2×C4⋊C8C2311yescharacteristic
436C2×C4⋊C8C2311yescharacteristic
437C2×#103C2311yescharacteristic
438C2×#103C2311yescharacteristic
439C2×#103C2311yescharacteristic
440C2×#103C2311yescharacteristic
441C2×#103C2311yescharacteristic
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×#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×C22⋊C8C2311yescharacteristic
474C2×C22⋊C8C2311yescharacteristic
475C2×C22⋊C8C2311yescharacteristic
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×#97C2311yescharacteristic
486C2×#97C2311yescharacteristic
487C2×#97C2311yescharacteristic
488C2×#97C2311yescharacteristic
489C2×C4×C8C2311yescharacteristic
490C2×C4×C8C2311yescharacteristic
491#399—21no—
492#399—21no—
493#399—21no—
494#399—21no—
495#398—21no—
496#398—21no—
497#394—21no—
498#394—21no—
499#394—21no—
500#394—21no—
501#392—21no—
502#392—21no—
503#391—21no—
504#391C2311yescharacteristic
505#391C2311yescharacteristic
506#390—21no—
507#390—21no—
508#390—21no—
509#390—21no—
510#390—21no—
511#390C2311yescharacteristic
512#389—21no—
513#389—21no—
514#389C2311yescharacteristic
515#388—21no—
516#388—21no—
517#388—21no—
518#388—21no—
519#388—21no—
520#388—21no—
521#388—21no—
522#388—21no—
523#388—21no—
524#387—21no—
525#387—21no—
526#387—21no—
527#387—21no—
528#386—21no—
529#386—21no—
530#386—21no—
531#386—21no—
532#386—21no—
533#385—21no—
534#385—21no—
535#384—21no—
536#384C2311yescharacteristic
537#382C2311yescharacteristic
538#382C2311yescharacteristic
539#380—21no—
540#380—21no—
541#380—21no—
542#380C2311yescharacteristic
543#380C2311yescharacteristic
544#380C2311yescharacteristic
545C4×C4⋊C4—21no—
546C4×C4⋊C4—21no—
547C4×C4⋊C4—21no—
548C4×C4⋊C4C2311yescharacteristic
549C4×C4⋊C4C2311yescharacteristic
550C4×C4⋊C4C2311yescharacteristic
551C4×C22⋊C4—21no—
552C4×C22⋊C4—21no—
553C4×C22⋊C4—21no—
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—
568C2×#41—24no—
569C2×#41—22no—
570C2×#41—22no—
571C2×#41—22no—
572C2×#41—22no—
573C2×#41—42no—
574C2×#41—42no—
575C2×#41—41no—
576C2×#41—41no—
577C2×#41—41no—
578C2×#41—41no—
579C2×#41—41no—
580C2×#41—41no—
581C2×#41—41no—
582C2×#41—41no—
583C22×Q8—22no—
584C22×Q8—22no—
585C22×Q8—22no—
586C22×Q8—22no—
587C22×Q8—21no—
588C22×Q8—21no—
589C22×Q8—41no—
590C22×Q8—41no—
591C22×Q8—41no—
592C22×Q8—41no—
593C22×Q8—41no—
594C22×Q8—41no—
595C22×Q8—41no—
596C22×Q8—41no—
597C22×Q8C2×D411yescharacteristic
598C22×Q8C2411yescharacteristic
599C22×Q8C2411yescharacteristic
600C22×Q8C2411yescharacteristic
601C22×Q8C2411yescharacteristic
602C22×Q8C2411yescharacteristic
603C22×D4—28no—
604C22×D4—21no—
605C22×D4—21no—
606C22×D4—21no—
607C22×D4—21no—
608C22×D4—21no—
609C22×D4—22no—
610C22×D4—22no—
611C22×D4—22no—
612C22×D4—22no—
613C22×D4—21no—
614C22×D4—21no—
615C22×D4—21no—
616C22×D4—21no—
617C22×D4—21no—
618C22×D4—21no—
619C22×D4—21no—
620C22×D4—41no—
621C22×D4—41no—
622C22×D4—41no—
623C22×D4—41no—
624C22×D4—41no—
625C22×D4—41no—
626C22×D4—41no—
627C22×D4—41no—
628C22×D4—44no—
629C22×D4—44no—
630C22×D4C2×D411yescharacteristic
631C22×D4C2×D411yescharacteristic
632C22×D4C2×D411yescharacteristic
633C22×D4C2411yescharacteristic
634C22×D4C2411yescharacteristic
635C22×D4C2411yescharacteristic
636C22×D4C2411yescharacteristic
637C23×C4—21no—
638C23×C4—21no—
639C23×C4—21no—
640C23×C4—21no—
641C23×C4—21no—
642C23×C4—21no—
643C23×C4—21no—
644C23×C4—21no—
645C23×C4C2×D411yescharacteristic
646C23×C4C2×D411yescharacteristic
647C23×C4C2×D411yescharacteristic
648C23×C4C2×D411yescharacteristic
649C23×C4C2×D411yescharacteristic
650C23×C4C2×D411yescharacteristic
651C23×C4C2411yescharacteristic
652C23×C4C2411yescharacteristic
653C23×C4C2411yescharacteristic
654C2×Q16—22no—
655C2×Q16—22no—
656C2×Q16—22no—
657C2×Q16—22no—
658C2×Q16—22no—
659C2×Q16—22no—
660C2×Q16—22no—
661C2×Q16—22no—
662C2×Q16—41no—
663C2×Q16—41no—
664C2×Q16—41no—
665C2×Q16—41no—
666C2×Q16—41no—
667C2×Q16—41no—
668C2×Q16—41no—
669C2×Q16—41no—
670C2×Q16—41no—
671C2×Q16—41no—
672C2×SD16—22no—
673C2×SD16—22no—
674C2×SD16—22no—
675C2×SD16—22no—
676C2×SD16—22no—
677C2×SD16—22no—
678C2×SD16—22no—
679C2×SD16—22no—
680C2×SD16—22no—
681C2×SD16—22no—
682C2×SD16—22no—
683C2×SD16—22no—
684C2×SD16—41no—
685C2×SD16—41no—
686C2×SD16—41no—
687C2×SD16—41no—
688C2×SD16—41no—
689C2×SD16—41no—
690C2×SD16—41no—
691C2×SD16—41no—
692C2×SD16—41no—
693C2×SD16—41no—
694C2×SD16—41no—
695C2×SD16—41no—
696C2×SD16—41no—
697C2×SD16—41no—
698C2×SD16—41no—
699C2×D8—22no—
700C2×D8—22no—
701C2×D8—22no—
702C2×D8—22no—
703C2×D8—41no—
704C2×D8—41no—
705C2×D8—41no—
706C2×D8—41no—
707C2×D8—41no—
708C22×C8C2411yescharacteristic
709C22×C8C2411yescharacteristic
710C22×C8C2411yescharacteristic
711C22×C8C2411yescharacteristic
712C22×C8C2411yescharacteristic
713C22×C8C2411yescharacteristic
714C22×C8C2411yescharacteristic
715C22×C8C2411yescharacteristic
716C4⋊Q8—28no—
717C4⋊Q8—22no—
718C4⋊Q8—22no—
719C4⋊Q8—22no—
720C4⋊Q8C2×D414yes—
721#127—22no—
722#127C2×D414yes—
723#126—28no—
724#126—28no—
725#126—28no—
726#126—28no—
727#126—28no—
728#126—44no—
729#126—44no—
730#125—22no—
731#125—22no—
732#124—28no—
733#124—28no—
734#124—28no—
735#124—28no—
736#124—28no—
737#124—28no—
738#124—28no—
739#124—22no—
740#124—22no—
741#124—22no—
742#124—22no—
743#124—22no—
744#124—22no—
745#124—22no—
746#124—22no—
747#124—22no—
748#124—22no—
749#124—22no—
750#124—22no—
751#124—22no—
752#124—22no—
753#124C2×D414yes—
754#124C2×D414yes—
755#124C2×D414yes—
756#124C2×D414yes—
757#123—28no—
758#123—28no—
759#123—28no—
760#123—28no—
761#123—28no—
762#123—28no—
763#123—28no—
764C22⋊Q8—28no—
765C22⋊Q8—28no—
766C22⋊Q8—28no—
767C22⋊Q8—28no—
768C22⋊Q8—28no—
769C22⋊Q8—22no—
770C22⋊Q8—22no—
771C22⋊Q8—22no—
772C22⋊Q8—22no—
773C22⋊Q8—22no—
774C22⋊Q8—22no—
775C22⋊Q8—22no—
776C22⋊Q8—22no—
777C22⋊Q8—41no—
778C22⋊Q8—41no—
779C22⋊Q8—44no—
780C22⋊Q8—41no—
781C22⋊Q8—41no—
782C22⋊Q8—41no—
783C22⋊Q8—41no—
784C22⋊Q8—41no—
785C22⋊Q8—41no—
786C22⋊Q8—41no—
787C22⋊Q8—41no—
788#121—28no—
789#121—28no—
790#121—28no—
791#121—28no—
792#121—28no—
793#121—28no—
794#121—28no—
795#121—22no—
796#121—22no—
797#121—22no—
798#121—22no—
799#121—22no—
800#121—22no—
801#121—22no—
802#121—41no—
803#121—44no—
804#121—41no—
805#121—41no—
806#121—41no—
807#121—41no—
808#120—28no—
809#120—28no—
810#120—28no—
811#120—28no—
812C4×Q8—24no—
813C4×Q8—22no—
814C4×Q8—22no—
815C4×Q8—22no—
816C4×Q8—22no—
817C4×Q8—22no—
818C4×Q8—22no—
819C4×Q8—22no—
820C4×Q8C2×D414yes—
821C4×Q8C2×D414yes—
822C4×Q8C2×D414yes—
823C4×Q8C2×D414yes—
824C4×Q8C2×D414yes—
825C4×D4—28no—
826C4×D4—28no—
827C4×D4—28no—
828C4×D4—28no—
829C4×D4—28no—
830C4×D4—28no—
831C4×D4—28no—
832C4×D4—28no—
833C4×D4—28no—
834C4×D4—24no—
835C4×D4—24no—
836C4×D4—24no—
837C4×D4—22no—
838C4×D4—22no—
839C4×D4—22no—
840C4×D4—22no—
841C4×D4—22no—
842C4×D4—22no—
843C4×D4—22no—
844C4×D4—22no—
845C4×D4—22no—
846C4×D4—22no—
847C4×D4—22no—
848C4×D4—44no—
849C4×D4C2×D414yes—
850C4×D4C2×D414yes—
851C4×D4C2×D414yes—
852#117—28no—
853#117—28no—
854#117—28no—
855#117—28no—
856#117—24no—
857#117—24no—
858#117—24no—
859#117—44no—
860C2×C4⋊C4—21no—
861C2×C4⋊C4—21no—
862C2×C4⋊C4—21no—
863C2×C4⋊C4—21no—
864C2×C4⋊C4—21no—
865C2×C4⋊C4—21no—
866C2×C4⋊C4—21no—
867C2×C4⋊C4—21no—
868C2×C4⋊C4—21no—
869C2×C4⋊C4—21no—
870C2×C4⋊C4—21no—
871C2×C4⋊C4—21no—
872C2×C4⋊C4—21no—
873C2×C4⋊C4—21no—
874C2×C4⋊C4—21no—
875C2×C4⋊C4—21no—
876C2×C4⋊C4—21no—
877C2×C4⋊C4—21no—
878C2×C4⋊C4—21no—
879C2×C4⋊C4—21no—
880C2×C4⋊C4—21no—
881C2×C4⋊C4—21no—
882C2×C4⋊C4—21no—
883C2×C4⋊C4C2×D411yescharacteristic
884C2×C4⋊C4C2×D411yescharacteristic
885C2×C4⋊C4C2×D411yescharacteristic
886C2×C4⋊C4C2×D411yescharacteristic
887C2×C4⋊C4C2×D411yescharacteristic
888C2×C4⋊C4C2×D411yescharacteristic
889C2×C4⋊C4C2411yescharacteristic
890C2×C4⋊C4C2411yescharacteristic
891C2×C4⋊C4C2411yescharacteristic
892C2×C4⋊C4C2411yescharacteristic
893C2×C4⋊C4C2411yescharacteristic
894C2×C4⋊C4C2411yescharacteristic
895C2×C4⋊C4C2411yescharacteristic
896C2×C22⋊C4—28no—
897C2×C22⋊C4—28no—
898C2×C22⋊C4—28no—
899C2×C22⋊C4—28no—
900C2×C22⋊C4—28no—
901C2×C22⋊C4—28no—
902C2×C22⋊C4—21no—
903C2×C22⋊C4—21no—
904C2×C22⋊C4—21no—
905C2×C22⋊C4—21no—
906C2×C22⋊C4—21no—
907C2×C22⋊C4—21no—
908C2×C22⋊C4—21no—
909C2×C22⋊C4—21no—
910C2×C22⋊C4—21no—
911C2×C22⋊C4—21no—
912C2×C22⋊C4—21no—
913C2×C22⋊C4—21no—
914C2×C22⋊C4—21no—
915C2×C22⋊C4—21no—
916C2×C22⋊C4—21no—
917C2×C22⋊C4—21no—
918C2×C22⋊C4—21no—
919C2×C22⋊C4—21no—
920C2×C22⋊C4—21no—
921C2×C22⋊C4—21no—
922C2×C22⋊C4—21no—
923C2×C22⋊C4—21no—
924C2×C22⋊C4—21no—
925C2×C22⋊C4—21no—
926C2×C22⋊C4—21no—
927C2×C22⋊C4—21no—
928C2×C22⋊C4—21no—
929C2×C22⋊C4—21no—
930C2×C22⋊C4—21no—
931C2×C22⋊C4—21no—
932C2×C22⋊C4—21no—
933C2×C22⋊C4—21no—
934C2×C22⋊C4—21no—
935C2×C22⋊C4—21no—
936C2×C22⋊C4—21no—
937C2×C22⋊C4—21no—
938C2×C22⋊C4—21no—
939C2×C22⋊C4—21no—
940C2×C22⋊C4—21no—
941C2×C22⋊C4—21no—
942C2×C22⋊C4—21no—
943C2×C22⋊C4—21no—
944C2×C22⋊C4C2×D411yescharacteristic
945C2×C22⋊C4C2×D411yescharacteristic
946C2×C22⋊C4C2×D411yescharacteristic
947C2×C22⋊C4C2×D411yescharacteristic
948C2×C22⋊C4C2×D411yescharacteristic
949C2×C22⋊C4C2×D411yescharacteristic
950C2×C42—21no—
951C2×C42—21no—
952C2×C42—21no—
953C2×C42—22no—
954C2×C42—22no—
955C2×C42—22no—
956C2×C42—22no—
957C2×C42—22no—
958C2×C42—22no—
959C2×C42—21no—
960C2×C42—21no—
961C2×C42—21no—
962C2×C42—21no—
963C2×C42—21no—
964C2×C42C2×D411yescharacteristic
965C2×C42C2×D411yescharacteristic
966C2×C42C2×D411yescharacteristic
967C2×C42C2×D411yescharacteristic
968C2×C42C2×D411yescharacteristic
969C2×C42C2×D411yescharacteristic
970C2×C42C2411yescharacteristic
971C2×C42C2411yescharacteristic
972C2×C42C2411yescharacteristic
973C2×C42C2411yescharacteristic
974#107—22no—
975#106—22no—
976C4⋊C8—22no—
977C4⋊C8—22no—
978C4⋊C8—22no—
979C4⋊C8—22no—
980C4⋊C8—22no—
981C4⋊C8—22no—
982#103—22no—
983#103—22no—
984#103—22no—
985#103—22no—
986#103—22no—
987#103—22no—
988#103—22no—
989#103—22no—
990#103—22no—
991#103—22no—
992#103—22no—
993#103—22no—
994#103—22no—
995#103—41no—
996#103—41no—
997#103—41no—
998#103—41no—
999#103—41no—
1000#103—41no—
1001#102—22no—
1002#102—22no—
1003#102—22no—
1004#102—22no—
1005#102—22no—
1006#102—22no—
1007#102—22no—
1008#102—22no—
1009#102—22no—
1010#102—22no—
1011#102—22no—
1012#102—41no—
1013#102—41no—
1014#102—41no—
1015#102—41no—
1016#102—41no—
1017#102—41no—
1018C22⋊C8—22no—
1019C22⋊C8—22no—
1020C22⋊C8—22no—
1021C22⋊C8—22no—
1022C22⋊C8—22no—
1023C22⋊C8—22no—
1024C22⋊C8—41no—
1025C22⋊C8—41no—
1026C22⋊C8—41no—
1027C22⋊C8—41no—
1028C22⋊C8—41no—
1029C22⋊C8—41no—
1030#97—22no—
1031#97—22no—
1032#97—22no—
1033#97—22no—
1034C4×C8—22no—
1035C4×C8—22no—
1036#95—21no—
1037#95—21no—
1038#95—21no—
1039#95—21no—
1040#95—21no—
1041#95—21no—
1042#95—21no—
1043#95—21no—
1044#95—21no—
1045#95—21no—
1046#95—21no—
1047#95—21no—
1048#95—21no—
1049#95—21no—
1050#95—21no—
1051C24—24no—
1052C24—24no—
1053C24—21no—
1054C24—21no—
1055C24—21no—
1056C24—21no—
1057C24—42no—
1058C24—42no—
1059C24—42no—
1060C24—42no—
1061C24—81no—
1062C24—81no—
1063C24—81no—
1064C24—81no—
1065C24—81no—
1066C24—81no—
1067C24—81no—
1068C24—81no—
1069C24C22×D411yescharacteristic
1070C24C22×D411yescharacteristic
1071C24C22×D411yescharacteristic
1072#41—416no—
1073#41—82no—
1074#41—82no—
1075#41—82no—
1076#41—82no—
1077#41—82no—
1078#41—82no—
1079#41—82no—
1080#41—82no—
1081C2×Q8—24no—
1082C2×Q8—24no—
1083C2×Q8—21no—
1084C2×Q8—21no—
1085C2×Q8—21no—
1086C2×Q8—21no—
1087C2×Q8—21no—
1088C2×Q8—21no—
1089C2×Q8—21no—
1090C2×Q8—21no—
1091C2×Q8—21no—
1092C2×Q8—21no—
1093C2×Q8—21no—
1094C2×Q8—21no—
1095C2×Q8—21no—
1096C2×Q8—21no—
1097C2×Q8—21no—
1098C2×Q8—21no—
1099C2×Q8—21no—
1100C2×Q8—21no—
1101C2×Q8—21no—
1102C2×Q8—21no—
1103C2×Q8—21no—
1104C2×Q8—21no—
1105C2×Q8—21no—
1106C2×Q8—21no—
1107C2×Q8—21no—
1108C2×Q8—21no—
1109C2×Q8—21no—
1110C2×Q8—41no—
1111C2×Q8—41no—
1112C2×Q8—81no—
1113C2×Q8—81no—
1114C2×Q8—81no—
1115C2×Q8—81no—
1116C2×Q8—82no—
1117C2×Q8—82no—
1118C2×Q8—82no—
1119C2×Q8—82no—
1120C2×Q8—82no—
1121C2×Q8—82no—
1122C2×Q8—82no—
1123C2×Q8—82no—
1124C2×Q8#12014yes—
1125C2×Q8C22×D412yes—
1126C2×Q8C22×D412yes—
1127C2×Q8C22×D412yes—
1128C2×D4—22no—
1129C2×D4—22no—
1130C2×D4—24no—
1131C2×D4—24no—
1132C2×D4—22no—
1133C2×D4—22no—
1134C2×D4—24no—
1135C2×D4—24no—
1136C2×D4—24no—
1137C2×D4—24no—
1138C2×D4—24no—
1139C2×D4—22no—
1140C2×D4—22no—
1141C2×D4—22no—
1142C2×D4—24no—
1143C2×D4—24no—
1144C2×D4—21no—
1145C2×D4—21no—
1146C2×D4—21no—
1147C2×D4—21no—
1148C2×D4—21no—
1149C2×D4—21no—
1150C2×D4—21no—
1151C2×D4—21no—
1152C2×D4—21no—
1153C2×D4—21no—
1154C2×D4—21no—
1155C2×D4—21no—
1156C2×D4—21no—
1157C2×D4—21no—
1158C2×D4—21no—
1159C2×D4—21no—
1160C2×D4—21no—
1161C2×D4—21no—
1162C2×D4—21no—
1163C2×D4—21no—
1164C2×D4—21no—
1165C2×D4—41no—
1166C2×D4—41no—
1167C2×D4—42no—
1168C2×D4—42no—
1169C2×D4—42no—
1170C2×D4—432no—
1171C2×D4—42no—
1172C2×D4—42no—
1173C2×D4—42no—
1174C2×D4—42no—
1175C2×D4—42no—
1176C2×D4—42no—
1177C2×D4—42no—
1178C2×D4—81no—
1179C2×D4—81no—
1180C2×D4—81no—
1181C2×D4—81no—
1182C2×D4—81no—
1183C2×D4—81no—
1184C2×D4—82no—
1185C2×D4—82no—
1186C2×D4—82no—
1187C2×D4—82no—
1188C2×D4—82no—
1189C2×D4—82no—
1190C2×D4—82no—
1191C2×D4—82no—
1192C2×D4—81no—
1193C2×D4—81no—
1194C2×D4—81no—
1195C2×D4—81no—
1196C2×D4—81no—
1197C2×D4—81no—
1198C2×D4—81no—
1199C2×D4—81no—
1200C2×D4—81no—
1201C2×D4—81no—
1202C2×D4—81no—
1203C2×D4C22×D412yes—
1204C2×D4C22×D412yes—
1205C2×D4C22×D412yes—
1206C22×C4—22no—
1207C22×C4—22no—
1208C22×C4—21no—
1209C22×C4—21no—
1210C22×C4—21no—
1211C22×C4—21no—
1212C22×C4—21no—
1213C22×C4—21no—
1214C22×C4—24no—
1215C22×C4—24no—
1216C22×C4—24no—
1217C22×C4—24no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—24no—
1222C22×C4—21no—
1223C22×C4—21no—
1224C22×C4—21no—
1225C22×C4—21no—
1226C22×C4—21no—
1227C22×C4—21no—
1228C22×C4—21no—
1229C22×C4—21no—
1230C22×C4—21no—
1231C22×C4—21no—
1232C22×C4—21no—
1233C22×C4—21no—
1234C22×C4—21no—
1235C22×C4—21no—
1236C22×C4—21no—
1237C22×C4—21no—
1238C22×C4—21no—
1239C22×C4—21no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—24no—
1244C22×C4—24no—
1245C22×C4—21no—
1246C22×C4—21no—
1247C22×C4—21no—
1248C22×C4—21no—
1249C22×C4—21no—
1250C22×C4—21no—
1251C22×C4—41no—
1252C22×C4—41no—
1253C22×C4—41no—
1254C22×C4—41no—
1255C22×C4—41no—
1256C22×C4—41no—
1257C22×C4—41no—
1258C22×C4—41no—
1259C22×C4—41no—
1260C22×C4—41no—
1261C22×C4—42no—
1262C22×C4—42no—
1263C22×C4—42no—
1264C22×C4—42no—
1265C22×C4—42no—
1266C22×C4—81no—
1267C22×C4—81no—
1268C22×C4—81no—
1269C22×C4—81no—
1270C22×C4—81no—
1271C22×C4—81no—
1272C22×C4—81no—
1273C22×C4—81no—
1274C22×C4—81no—
1275C22×C4—81no—
1276C22×C4—81no—
1277C22×C4—81no—
1278C22×C4C22×D411yescharacteristic
1279C22×C4C22×D411yescharacteristic
1280C22×C4C22×D411yescharacteristic
1281C22×C4C22×D411yescharacteristic
1282C22×C4C22×D411yescharacteristic
1283C22×C4C22×D411yescharacteristic
1284C22×C4C22×D411yescharacteristic
1285C22×C4C22×D411yescharacteristic
1286C22×C4C22×D411yescharacteristic
1287C22×C4C22×D411yescharacteristic
1288C22×C4C22×D411yescharacteristic
1289C22×C4C2511yescharacteristic
1290Q16—44no—
1291Q16—44no—
1292Q16—82no—
1293Q16—82no—
1294Q16—82no—
1295Q16—82no—
1296SD16—44no—
1297SD16—44no—
1298SD16—44no—
1299SD16—82no—
1300SD16—82no—
1301SD16—82no—
1302SD16—82no—
1303SD16—82no—
1304SD16—82no—
1305D8—44no—
1306D8—82no—
1307D8—82no—
1308C2×C8—21no—
1309C2×C8—21no—
1310C2×C8—21no—
1311C2×C8—21no—
1312C2×C8—21no—
1313C2×C8—21no—
1314C2×C8—21no—
1315C2×C8—21no—
1316C2×C8—21no—
1317C2×C8—21no—
1318C2×C8—21no—
1319C2×C8—21no—
1320C2×C8—21no—
1321C2×C8—21no—
1322C2×C8—21no—
1323C2×C8—21no—
1324C2×C8—21no—
1325C2×C8—21no—
1326C2×C8—21no—
1327C2×C8—21no—
1328C2×C8—21no—
1329C2×C8—21no—
1330C2×C8H(5,𝔽2)12yes—
1331C2×C8H(5,𝔽2)12yes—
1332C4⋊C4—24no—
1333C4⋊C4—24no—
1334C4⋊C4—24no—
1335C4⋊C4—24no—
1336C4⋊C4—24no—
1337C4⋊C4—24no—
1338C4⋊C4—24no—
1339C4⋊C4—24no—
1340C4⋊C4—24no—
1341C4⋊C4—24no—
1342C4⋊C4—22no—
1343C4⋊C4—22no—
1344C4⋊C4—22no—
1345C4⋊C4—21no—
1346C4⋊C4—21no—
1347C4⋊C4—21no—
1348C4⋊C4—21no—
1349C4⋊C4—21no—
1350C4⋊C4—21no—
1351C4⋊C4—21no—
1352C4⋊C4—21no—
1353C4⋊C4—21no—
1354C4⋊C4—21no—
1355C4⋊C4—21no—
1356C4⋊C4—42no—
1357C4⋊C4—42no—
1358C4⋊C4—42no—
1359C4⋊C4—42no—
1360C4⋊C4—42no—
1361C4⋊C4—42no—
1362C4⋊C4—42no—
1363C4⋊C4—42no—
1364C4⋊C4—81no—
1365C4⋊C4—81no—
1366C4⋊C4—81no—
1367C4⋊C4—81no—
1368C4⋊C4—81no—
1369C4⋊C4#12014yes—
1370C4⋊C4#12014yes—
1371C4⋊C4#12014yes—
1372C4⋊C4C22×D412yes—
1373C4⋊C4C22×D412yes—
1374C4⋊C4H(5,𝔽2)12yes—
1375C22⋊C4—24no—
1376C22⋊C4—24no—
1377C22⋊C4—24no—
1378C22⋊C4—24no—
1379C22⋊C4—24no—
1380C22⋊C4—24no—
1381C22⋊C4—24no—
1382C22⋊C4—24no—
1383C22⋊C4—24no—
1384C22⋊C4—24no—
1385C22⋊C4—24no—
1386C22⋊C4—24no—
1387C22⋊C4—24no—
1388C22⋊C4—24no—
1389C22⋊C4—22no—
1390C22⋊C4—22no—
1391C22⋊C4—24no—
1392C22⋊C4—24no—
1393C22⋊C4—24no—
1394C22⋊C4—24no—
1395C22⋊C4—24no—
1396C22⋊C4—24no—
1397C22⋊C4—24no—
1398C22⋊C4—24no—
1399C22⋊C4—24no—
1400C22⋊C4—22no—
1401C22⋊C4—22no—
1402C22⋊C4—22no—
1403C22⋊C4—22no—
1404C22⋊C4—42no—
1405C22⋊C4—42no—
1406C22⋊C4—42no—
1407C22⋊C4—42no—
1408C22⋊C4—42no—
1409C22⋊C4—42no—
1410C22⋊C4—42no—
1411C22⋊C4—42no—
1412C22⋊C4—42no—
1413C22⋊C4—42no—
1414C22⋊C4—42no—
1415C22⋊C4—42no—
1416C22⋊C4—42no—
1417C22⋊C4—81no—
1418C22⋊C4—81no—
1419C22⋊C4—81no—
1420C22⋊C4—81no—
1421C22⋊C4—81no—
1422C22⋊C4—81no—
1423C42—22no—
1424C42—22no—
1425C42—22no—
1426C42—22no—
1427C42—22no—
1428C42—22no—
1429C42—24no—
1430C42—24no—
1431C42—24no—
1432C42—21no—
1433C42—21no—
1434C42—42no—
1435C42—42no—
1436C42—42no—
1437C42—81no—
1438C42—81no—
1439C42C22×D412yes—
1440C42C22×D412yes—
1441C42C22×D412yes—
1442C42C22×D412yes—
1443C42C22×D412yes—
1444C42C22×D412yes—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—22no—
1460C23—22no—
1461C23—22no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—48no—
1468C23—48no—
1469C23—41no—
1470C23—41no—
1471C23—41no—
1472C23—41no—
1473C23—41no—
1474C23—41no—
1475C23—41no—
1476C23—41no—
1477C23—41no—
1478C23—41no—
1479C23—41no—
1480C23—41no—
1481C23—41no—
1482C23—41no—
1483C23—41no—
1484C23—41no—
1485C23—41no—
1486C23—41no—
1487C23—41no—
1488C23—41no—
1489C23—41no—
1490C23—41no—
1491C23—41no—
1492C23—41no—
1493C23—41no—
1494C23—84no—
1495C23—84no—
1496C23—84no—
1497C23—84no—
1498C23—162no—
1499C23—162no—
1500C23—162no—
1501C23—162no—
1502C23—162no—
1503C23—162no—
1504C23—162no—
1505C23—162no—
1506C23#57512yes—
1507C23#57512yes—
1508C23C23×D411yescharacteristic
1509Q8—22no—
1510Q8—22no—
1511Q8—22no—
1512Q8—22no—
1513Q8—22no—
1514Q8—22no—
1515Q8—44no—
1516Q8—41no—
1517Q8—41no—
1518Q8—41no—
1519Q8—41no—
1520Q8—41no—
1521Q8—41no—
1522Q8—41no—
1523Q8—41no—
1524Q8—41no—
1525Q8—41no—
1526Q8—41no—
1527Q8—41no—
1528Q8—41no—
1529Q8—41no—
1530Q8—84no—
1531Q8—84no—
1532D4—28no—
1533D4—22no—
1534D4—22no—
1535D4—22no—
1536D4—22no—
1537D4—22no—
1538D4—22no—
1539D4—44no—
1540D4—44no—
1541D4—48no—
1542D4—48no—
1543D4—48no—
1544D4—41no—
1545D4—41no—
1546D4—41no—
1547D4—41no—
1548D4—41no—
1549D4—41no—
1550D4—41no—
1551D4—41no—
1552D4—41no—
1553D4—41no—
1554D4—84no—
1555D4—84no—
1556D4—84no—
1557D4—84no—
1558D4—84no—
1559D4—84no—
1560D4—84no—
1561D4—162no—
1562D4—162no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—22no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—44no—
1597C2×C4—44no—
1598C2×C4—48no—
1599C2×C4—44no—
1600C2×C4—41no—
1601C2×C4—41no—
1602C2×C4—41no—
1603C2×C4—41no—
1604C2×C4—41no—
1605C2×C4—41no—
1606C2×C4—41no—
1607C2×C4—41no—
1608C2×C4—41no—
1609C2×C4—41no—
1610C2×C4—41no—
1611C2×C4—41no—
1612C2×C4—41no—
1613C2×C4—41no—
1614C2×C4—41no—
1615C2×C4—41no—
1616C2×C4—41no—
1617C2×C4—41no—
1618C2×C4—41no—
1619C2×C4—41no—
1620C2×C4—41no—
1621C2×C4—41no—
1622C2×C4—41no—
1623C2×C4—41no—
1624C2×C4—41no—
1625C2×C4—41no—
1626C2×C4—41no—
1627C2×C4—41no—
1628C2×C4—41no—
1629C2×C4—41no—
1630C2×C4—41no—
1631C2×C4—41no—
1632C2×C4—41no—
1633C2×C4—41no—
1634C2×C4—41no—
1635C2×C4—41no—
1636C2×C4—41no—
1637C2×C4—41no—
1638C2×C4—41no—
1639C2×C4—41no—
1640C2×C4—41no—
1641C2×C4—41no—
1642C2×C4—82no—
1643C2×C4—82no—
1644C2×C4—82no—
1645C2×C4—84no—
1646C2×C4—84no—
1647C2×C4—84no—
1648C2×C4—84no—
1649C2×C4—84no—
1650C2×C4—84no—
1651C2×C4—84no—
1652C2×C4C2×#12012yes—
1653C2×C4C2×#12012yes—
1654C2×C4C2×#12012yes—
1655C2×C4C2×#12012yes—
1656C2×C4C2×#12012yes—
1657C2×C4C2×#12012yes—
1658C2×C4C23×D411yescharacteristic
1659C2×C4C23×D411yescharacteristic
1660C2×C4C2×H(5,𝔽2)11yescharacteristic
1661C2×C4C2×H(5,𝔽2)11yescharacteristic
1662C2×C4C2×H(5,𝔽2)11yescharacteristic
1663C2×C4#58511yescharacteristic
1664C8—22no—
1665C8—22no—
1666C8—41no—
1667C8—41no—
1668C8—41no—
1669C8—41no—
1670C8—41no—
1671C8—41no—
1672C22—22no—
1673C22—22no—
1674C22—22no—
1675C22—22no—
1676C22—22no—
1677C22—22no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—42no—
1690C22—42no—
1691C22—42no—
1692C22—41no—
1693C22—42no—
1694C22—42no—
1695C22—42no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—42no—
1700C22—42no—
1701C22—42no—
1702C22—81no—
1703C22—81no—
1704C22—81no—
1705C22—81no—
1706C22—81no—
1707C22—81no—
1708C22—81no—
1709C22—81no—
1710C22—81no—
1711C22—81no—
1712C22—81no—
1713C22—81no—
1714C22—81no—
1715C22—81no—
1716C22—81no—
1717C22—81no—
1718C22—81no—
1719C22—81no—
1720C22—81no—
1721C22—168no—
1722C22—168no—
1723C22C22×#12011yescharacteristic
1724C22#348811yescharacteristic
1725C22#349811yescharacteristic
1726C22C2×#57511yescharacteristic
1727C22C2×#57511yescharacteristic
1728C22#358411yescharacteristic
1729C22#358611yescharacteristic
1730C4—22no—
1731C4—22no—
1732C4—22no—
1733C4—22no—
1734C4—22no—
1735C4—22no—
1736C4—42no—
1737C4—41no—
1738C4—42no—
1739C4—41no—
1740C4—42no—
1741C4—41no—
1742C4—41no—
1743C4—41no—
1744C4—42no—
1745C4—42no—
1746C4—42no—
1747C4—81no—
1748C4—81no—
1749C4—81no—
1750C4—81no—
1751C4—81no—
1752C4—81no—
1753C4#348811yescharacteristic
1754C4#348811yescharacteristic
1755C4#349811yescharacteristic
1756C4#349811yescharacteristic
1757C2—42no—
1758C2—42no—
1759C2—81no—
1760C2—82no—
1761C2—82no—
1762C2—82no—
1763C2—161no—
1764C2#3609111yescharacteristic
1765C2#6035911yescharacteristic
1766C2#6037711yescharacteristic
1767C2#6197211yescharacteristic
1768C2#6199011yescharacteristic
1769C2#6242811yescharacteristic
1770C2#6245011yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C2×C4×#41 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3514C2semidirect
2. C2×#3402C2semidirect
3. C2×#3401C2semidirect
4. #36504C2semidirect
5. #29666C2semidirect
6. #29666C2semidirect
7. #29665C2semidirect
8. #25769C2semidirect
9. #25767C2semidirect
10. #25766C2semidirect
11. #25763C2semidirect
12. #25762C2semidirect
13. #25761C2semidirect
14. #25730C2semidirect
15. #25727C2semidirect
16. #25724C2semidirect
17. #24257C2semidirect
18. #24256C2semidirect
19. #24255C2semidirect
20. #24252C2semidirect
21. #24247C2semidirect
22. #24246C2semidirect
23. #24217C2semidirect
24. #24215C2semidirect
25. #24213C2semidirect
26. #23578C2semidirect
27. #23575C2semidirect
28. #23572C2semidirect
29. #22549C2semidirect
30. #22548C2semidirect
31. #22532C2semidirect
36. C2×#556C22semidirect
61. C2×#497C22semidirect
62. C2×#497C22semidirect
65. C2×#495C22semidirect
67. C2×#464C22semidirect
68. C2×#464C22semidirect
69. C2×#464C22semidirect
70. C2×#462C22semidirect
71. C2×#462C22semidirect
75. C2×#463C22semidirect
76. C2×#463C22semidirect
77. C2×#461C22semidirect
78. C2×#452C22semidirect
79. C2×#452C22semidirect
80. C2×#452C22semidirect
81. C2×#452C22semidirect
82. C2×#449C22semidirect
83. C2×#449C22semidirect
84. C2×#451C22semidirect
85. C2×#451C22semidirect
86. C2×#451C22semidirect
87. C2×#451C22semidirect
88. C2×#448C22semidirect
89. C2×#448C22semidirect
96. C2×#446C22semidirect
97. C2×#446C22semidirect
98. C2×#442C22semidirect
99. C2×#441C22semidirect
101. C2×#440C22semidirect
102. C2×C4×Q16C22semidirect
103. C2×C4×SD16C22semidirect
104. #2857C22semidirect
105. #2850C22semidirect
106. #2850C22semidirect
107. #2542C22semidirect
109. #2540C22semidirect
110. #2537C22semidirect
112. #2536C22semidirect
120. #2355C22semidirect
122. C4×C22⋊Q8C22semidirect
123. C4×C22⋊Q8C22semidirect
124. C4×#121C22semidirect
125. #2059C22semidirect
127. #2042C22semidirect
128. #2042C22semidirect
129. #2036C22semidirect
130. #2035C22semidirect
131. #2035C22semidirect
135. #2026C22semidirect
136. #2026C22semidirect
137. #2025C22semidirect
140. #2015C22semidirect
141. #2015C22semidirect
142. #2015C22semidirect
143. #2015C22semidirect
145. #2012C22semidirect
146. #2012C22semidirect
147. #2001C22semidirect
148. #2001C22semidirect
149. #2001C22semidirect
150. #2001C22semidirect
151. #2001C22semidirect
152. #2001C22semidirect
159. #2000C22semidirect
160. #2000C22semidirect
161. #2000C22semidirect
167. #1983C22semidirect
168. #1983C22semidirect
170. #1981C22semidirect
172. #1960C22semidirect
174. #1959C22semidirect
176. #1958C22semidirect
179. #1955C22semidirect
180. #1955C22semidirect
181. #1954C22semidirect
182. #1954C22semidirect
183. #1805C22semidirect
184. #1805C22semidirect
186. #1804C22semidirect
187. #1803C22semidirect
188. #1802C22semidirect
189. #1797C22semidirect
190. #1797C22semidirect
191. #1797C22semidirect
192. #1788C22semidirect
193. #1788C22semidirect
194. #1787C22semidirect
195. #1787C22semidirect
198. #1763C22semidirect
199. #1763C22semidirect
201. #1762C22semidirect
202. C4×#103C22semidirect
203. C4×#102C22semidirect
204. #1749C22semidirect
205. #1749C22semidirect
206. C4×C22⋊C8C22semidirect
234. #559D4semidirect
238. #556D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35142
C2×#34022
C2×#34012
#365042
#296662
#296652
#257692
#257672
#257662
#257632
#257622
#257612
#257302
#257272
#257242
#242572
#242562
#242552
#242522
#242472
#242462
#242172
#242152
#242132
#235782
#235752
#235722
#225492
#225482
#225322