Finite Group Databasebeta

← #6533403

Subgroups — #6533403

Order 512.

3294 conjugacy classes of subgroups.

The subgroup lattice has 1752 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3541C211yesmaximal, characteristic
2C2×#3320C211yesmaximal, characteristic, complemented
3C2×D4×Q16C211yesmaximal, characteristic, complemented
4#37651C211yesmaximal, characteristic, complemented
5#29672C211yesmaximal, characteristic, complemented
6#29605C211yesmaximal, characteristic, complemented
7#29597C211yesmaximal, characteristic, complemented
8#25758C211yesmaximal, characteristic, complemented
9#25609C211yesmaximal, characteristic, complemented
10#25584C211yesmaximal, characteristic, complemented
11#25545C211yesmaximal, characteristic, complemented
12#25542C211yesmaximal, characteristic, complemented
13#24447C211yesmaximal, characteristic, complemented
14#24431C211yesmaximal, characteristic, complemented
15#24393C211yesmaximal, characteristic, complemented
16#24383C211yesmaximal, characteristic, complemented
17#24253C211yesmaximal, characteristic, complemented
18#24165C211yesmaximal, characteristic, complemented
19#24127C211yesmaximal, characteristic, complemented
20#23980C211yesmaximal, characteristic, complemented
21#23970C211yesmaximal, characteristic, complemented
22#23927C211yesmaximal, characteristic, complemented
23#23922C211yesmaximal, characteristic, complemented
24#23859C211yesmaximal, characteristic, complemented
25#23859C211yesmaximal, characteristic, complemented
26#23585C211yesmaximal, characteristic, complemented
27#23389C211yesmaximal, characteristic, complemented
28C2×#2001C211yesmaximal, characteristic, complemented
29#22488C211yesmaximal, characteristic, complemented
30#22425C211yesmaximal, characteristic, complemented
31#22398C211yesmaximal, characteristic, complemented
32C23×Q16C2211yescharacteristic
33C23×Q16C2211yescharacteristic, complemented
34#3541—28no—
35#3541—28no—
36C2×#563—21no—
37C2×#562—21no—
38C2×#556C2211yescharacteristic
39C2×#554—21no—
40C2×#554C2211yescharacteristic
41C2×#553—21no—
42C2×#553C2211yescharacteristic
43C2×#552C2211yescharacteristic
44C2×D4×Q8C2211yescharacteristic
45C2×D4×Q8C2211yescharacteristic
46C2×#548C2211yescharacteristic
47C2×#548C2211yescharacteristic
48C2×#547C2211yescharacteristic
49C2×#542—21no—
50C2×#542C2211yescharacteristic
51C2×#541C2211yescharacteristic
52C2×#539—21no—
53C2×#538—21no—
54C2×#538—21no—
55C2×#537C2211yescharacteristic
56C2×#536C2211yescharacteristic
57C2×#536C2211yescharacteristic
58C2×#525C2211yescharacteristic
59C2×#525C2211yescharacteristic
60C22×C22⋊Q8C2211yescharacteristic
61C22×C22⋊Q8C2211yescharacteristic
62#3320—28no—
63D4×Q16—28no—
64C2×#494C2211yescharacteristic, complemented
65C2×#491C2211yescharacteristic, complemented
66C2×#484C2211yescharacteristic
67C2×#485C2211yescharacteristic, complemented
68C2×#479C2211yescharacteristic, complemented
69C2×#468C2211yescharacteristic, complemented
70C2×#467C2211yescharacteristic
71C2×#467C2211yescharacteristic, complemented
72C2×#465C2211yescharacteristic
73C2×#462C2211yescharacteristic, complemented
74C2×#462C2211yescharacteristic, complemented
75C2×#461C2211yescharacteristic, complemented
76C2×#452C2211yescharacteristic
77C2×#452C2211yescharacteristic
78C2×#452C2211yescharacteristic
79C2×#452C2211yescharacteristic, complemented
80C2×#452C2211yescharacteristic, complemented
81C2×#452C2211yescharacteristic, complemented
82C2×#451C2211yescharacteristic
83C2×#451C2211yescharacteristic
84C2×#451C2211yescharacteristic, complemented
85C2×#451C2211yescharacteristic, complemented
86C2×#448C2211yescharacteristic
87C2×#448C2211yescharacteristic, complemented
88C2×#440C2211yescharacteristic, complemented
89C2×C4×Q16C2211yescharacteristic, complemented
90C2×#435C2211yescharacteristic
91C2×C8×D4C2211yescharacteristic
92C2×#419C2211yescharacteristic, complemented
93C2×#419C2211yescharacteristic, complemented
94C22×#103C2211yescharacteristic
95C22×#103C2211yescharacteristic
96C2×#408C2211yescharacteristic
97C22×C22⋊C8C2211yescharacteristic
98#2848C2211yescharacteristic
99#2681—21no—
100#2680—21no—
101#2677—21no—
102#2674—21no—
103#2621C2211yescharacteristic
104#2616C2211yescharacteristic
105#2542C2211yescharacteristic
106#2536C2211yescharacteristic
107#2472—21no—
108#2443—21no—
109#2440—21no—
110#2418—21no—
111#2417C2211yescharacteristic
112#2415C2211yescharacteristic
113#2409C2211yescharacteristic
114#2409C2211yescharacteristic
115#2352C2211yescharacteristic
116#2323C2211yescharacteristic
117#2057C2211yescharacteristic, complemented
118#2042C2211yescharacteristic, complemented
119#2036C2211yescharacteristic
120#2036C2211yescharacteristic
121#2036C2211yescharacteristic
122#2036C2211yescharacteristic
123#2036C2211yescharacteristic, complemented
124#2035C2211yescharacteristic
125#2035C2211yescharacteristic, complemented
126#2033C2211yescharacteristic
127#2024C2211yescharacteristic, complemented
128#2024C2211yescharacteristic, complemented
129#2024C2211yescharacteristic, complemented
130#2015C2211yescharacteristic, complemented
131#2015C2211yescharacteristic, complemented
132#2015C2211yescharacteristic, complemented
133#2001C2211yescharacteristic
134#2001C2211yescharacteristic
135#2001C2211yescharacteristic
136#2001C2211yescharacteristic
137#2001C2211yescharacteristic
138#2001C2211yescharacteristic
139#2001C2211yescharacteristic
140#2001C2211yescharacteristic
141#2001C2211yescharacteristic
142#2001C2211yescharacteristic
143#2001C2211yescharacteristic
144#2001C2211yescharacteristic
145#2001C2211yescharacteristic
146#2001C2211yescharacteristic
147#2001C2211yescharacteristic
148#2001C2211yescharacteristic, complemented
149#2001C2211yescharacteristic, complemented
150#2001C2211yescharacteristic, complemented
151#2001C2211yescharacteristic, complemented
152#2001C2211yescharacteristic, complemented
153#2001C2211yescharacteristic, complemented
154#2000C2211yescharacteristic
155#2000C2211yescharacteristic
156#2000C2211yescharacteristic
157#1991C2211yescharacteristic, complemented
158#1989C2211yescharacteristic, complemented
159#1981C2211yescharacteristic, complemented
160#1960C2211yescharacteristic, complemented
161#1955C2211yescharacteristic
162#1954C2211yescharacteristic
163#1894C2211yescharacteristic, complemented
164#1893C2211yescharacteristic
165#1893C2211yescharacteristic, complemented
166#1892C2211yescharacteristic
167#1878C2211yescharacteristic, complemented
168#1878C2211yescharacteristic, complemented
169#1878C2211yescharacteristic, complemented
170#1878C2211yescharacteristic, complemented
171#1878C2211yescharacteristic, complemented
172#1878C2211yescharacteristic, complemented
173#1875C2211yescharacteristic, complemented
174#1874C2211yescharacteristic
175#1873C2211yescharacteristic
176#1873C2211yescharacteristic
177#1873C2211yescharacteristic
178#1873C2211yescharacteristic, complemented
179#1872C2211yescharacteristic
180#1872C2211yescharacteristic, complemented
181#1872C2211yescharacteristic, complemented
182#1872C2211yescharacteristic, complemented
183#1870C2211yescharacteristic
184#1869C2211yescharacteristic
185#1869C2211yescharacteristic
186#1869C2211yescharacteristic
187#1865C2211yescharacteristic, complemented
188#1863C2211yescharacteristic, complemented
189#1854C2211yescharacteristic
190#1852C2211yescharacteristic, complemented
191#1825C2211yescharacteristic, complemented
192#1824C2211yescharacteristic
193#1805C2211yescharacteristic, complemented
194#1804C2211yescharacteristic, complemented
195#1798C2211yescharacteristic
196#1788C2211yescharacteristic
197#1788C2211yescharacteristic, complemented
198#1787C2211yescharacteristic
199#1787C2211yescharacteristic, complemented
200#1780C2211yescharacteristic
201#1779C2211yescharacteristic
202#1763C2211yescharacteristic, complemented
203C4×#102C2211yescharacteristic, complemented
204#1750C2211yescharacteristic
205#1735C2211yescharacteristic, complemented
206C2×#340C2211yescharacteristic
207C22×#41C2311yescharacteristic
208C22×#41C2311yescharacteristic
209C22×#41C2311yescharacteristic
210C23×Q8C2311yescharacteristic
211C23×Q8C2311yescharacteristic
212C23×Q8C2311yescharacteristic
213C23×Q8C2311yescharacteristic
214C24×C4C2311yescharacteristic
215C22×Q16—24no—
216C22×Q16—24no—
217C22×Q16—42no—
218C22×Q16—42no—
219C22×Q16—42no—
220C22×Q16—42no—
221C22×Q16C2311yescharacteristic
222C22×Q16C2311yescharacteristic
223C22×Q16C2311yescharacteristic
224C22×Q16C2311yescharacteristic
225C22×Q16C2311yescharacteristic
226C22×Q16C2311yescharacteristic
227C22×Q16C2311yescharacteristic
228C22×Q16C2311yescharacteristic
229C22×Q16C2311yescharacteristic
230C22×SD16C2311yescharacteristic
231C22×SD16C2311yescharacteristic
232C22×SD16C2311yescharacteristic
233C22×M16C2311yescharacteristic
234C23×C8C2311yescharacteristic
235C23×C8C2311yescharacteristic
236C23×C8C2311yescharacteristic
237#563—216no—
238#562—216no—
239#556—24no—
240#556—24no—
241#554—216no—
242#554—24no—
243#554—24no—
244#553—216no—
245#553—24no—
246#553D418yes—
247#552—24no—
248#552—24no—
249D4×Q8—24no—
250D4×Q8—24no—
251D4×Q8—24no—
252D4×Q8D418yes—
253#548—24no—
254#548—24no—
255#548—24no—
256#548—24no—
257#547—24no—
258#547—24no—
259#542—216no—
260#542—24no—
261#542—24no—
262#541—24no—
263#541—24no—
264#539—216no—
265#538—216no—
266#538—216no—
267#537—24no—
268#537—24no—
269#536—24no—
270#536—24no—
271#536—42no—
272#536—42no—
273C2×C4⋊Q8—21no—
274C2×C4⋊Q8—21no—
275C2×C4⋊Q8—21no—
276C2×C4⋊Q8—21no—
277C2×C4⋊Q8C2311yescharacteristic
278C2×C4⋊Q8C2311yescharacteristic
279C2×C4⋊Q8C2311yescharacteristic
280C2×#126—21no—
281C2×#126—21no—
282C2×#126—21no—
283C2×#126—21no—
284C2×#126—21no—
285C2×#126—21no—
286C2×#126—21no—
287C2×#125—21no—
288C2×#125—21no—
289C2×#125—21no—
290C2×#125—21no—
291C2×#125C2311yescharacteristic
292C2×#124—21no—
293C2×#124—21no—
294C2×#124—21no—
295C2×#124—21no—
296C2×#124—21no—
297C2×#124—21no—
298C2×#124C2311yescharacteristic
299#525—24no—
300#525—24no—
301#525—24no—
302#525—24no—
303C2×#123—21no—
304C2×#123—21no—
305C2×#123—21no—
306C2×#123—21no—
307C2×#123—21no—
308C2×#123—21no—
309C2×#123—21no—
310C2×#123—21no—
311C2×#123—21no—
312C2×#123—21no—
313C2×#123D411yescharacteristic
314C2×#123D411yescharacteristic
315C2×C22⋊Q8—24no—
316C2×C22⋊Q8—21no—
317C2×C22⋊Q8—21no—
318C2×C22⋊Q8—21no—
319C2×C22⋊Q8—21no—
320C2×C22⋊Q8—21no—
321C2×C22⋊Q8—24no—
322C2×C22⋊Q8—21no—
323C2×C22⋊Q8—21no—
324C2×C22⋊Q8—21no—
325C2×C22⋊Q8—21no—
326C2×C22⋊Q8—21no—
327C2×C22⋊Q8—21no—
328C2×C22⋊Q8—21no—
329C2×C22⋊Q8—21no—
330C2×C22⋊Q8—21no—
331C2×C22⋊Q8—42no—
332C2×C22⋊Q8—42no—
333C2×C22⋊Q8D411yescharacteristic
334C2×C22⋊Q8D411yescharacteristic
335C2×C22⋊Q8C2311yescharacteristic
336C2×C22⋊Q8C2311yescharacteristic
337C2×C22⋊Q8C2311yescharacteristic
338C2×C22⋊Q8C2311yescharacteristic
339C2×C22⋊Q8C2311yescharacteristic
340C2×C22⋊Q8C2311yescharacteristic
341C2×C22⋊Q8C2311yescharacteristic
342C2×C22⋊Q8C2311yescharacteristic
343C2×C22⋊Q8C2311yescharacteristic
344C2×C22⋊Q8C2311yescharacteristic
345C2×C22⋊Q8C2311yescharacteristic
346C2×C22⋊Q8C2311yescharacteristic
347C2×C22⋊Q8C2311yescharacteristic
348C2×C22⋊Q8C2311yescharacteristic
349C2×C22⋊Q8C2311yescharacteristic
350C2×C22⋊Q8C2311yescharacteristic
351C2×C22⋊Q8C2311yescharacteristic
352C2×C22⋊Q8C2311yescharacteristic
353C2×C22⋊Q8C2311yescharacteristic
354C2×C22⋊Q8C2311yescharacteristic
355C2×#121—21no—
356C2×#121—21no—
357C2×#121—21no—
358C2×#121—21no—
359C2×#121—21no—
360C2×#121—21no—
361C2×#121—21no—
362C2×#121D411yescharacteristic
363C2×#121D411yescharacteristic
364C2×#121C2311yescharacteristic
365C2×#121C2311yescharacteristic
366C2×#121C2311yescharacteristic
367C2×#120—21no—
368C2×#120D411yescharacteristic
369C2×#120D411yescharacteristic
370C2×C4×Q8—21no—
371C2×C4×Q8C2311yescharacteristic
372C2×C4×Q8C2311yescharacteristic
373C2×C4×Q8C2311yescharacteristic
374C2×C4×Q8C2311yescharacteristic
375C2×C4×D4—21no—
376C2×C4×D4—21no—
377C2×C4×D4—21no—
378C2×C4×D4—21no—
379C2×C4×D4—21no—
380C2×C4×D4—21no—
381C2×C4×D4—21no—
382C2×C4×D4—21no—
383C2×C4×D4C2311yescharacteristic
384C2×C4×D4C2311yescharacteristic
385C2×C4×D4C2311yescharacteristic
386C2×C4×D4C2311yescharacteristic
387C2×C4×D4C2311yescharacteristic
388C2×#117—21no—
389C2×#117C2311yescharacteristic
390C2×#117C2311yescharacteristic
391C2×#117C2311yescharacteristic
392C2×#117C2311yescharacteristic
393C22×C4⋊C4—21no—
394C22×C4⋊C4—21no—
395C22×C4⋊C4—21no—
396C22×C4⋊C4C2311yescharacteristic
397C22×C4⋊C4C2311yescharacteristic
398C22×C4⋊C4C2311yescharacteristic
399C22×C22⋊C4—21no—
400C22×C22⋊C4—21no—
401#494—24no—
402#491—24no—
403#485—24no—
404#484—24no—
405#479—24no—
406#468—24no—
407#467—24no—
408#467—24no—
409#465—24no—
410#462—24no—
411#462—24no—
412#461—24no—
413#452—42no—
414#452—42no—
415#452—42no—
416#452—42no—
417#452—42no—
418#452—42no—
419#451—24no—
420#451—24no—
421#451—24no—
422#451—24no—
423#448—24no—
424#448—24no—
425#440—24no—
426C4×Q16—24no—
427#435—24no—
428C8×D4—24no—
429C2×#107C2311yescharacteristic
430C2×#107C2311yescharacteristic
431C2×#107C2311yescharacteristic
432C2×#106C2311yescharacteristic
433C2×C4⋊C8C2311yescharacteristic
434C2×C4⋊C8C2311yescharacteristic
435#419—24no—
436#419—42no—
437C2×#103—24no—
438C2×#103—42no—
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×#103C2311yescharacteristic
457C2×#103C2311yescharacteristic
458C2×#103C2311yescharacteristic
459C2×#103C2311yescharacteristic
460C2×#103C2311yescharacteristic
461C2×#103C2311yescharacteristic
462C2×#103C2311yescharacteristic
463C2×#103C2311yescharacteristic
464C2×#103C2311yescharacteristic
465C2×#103C2311yescharacteristic
466C2×#102C2311yescharacteristic
467C2×#102C2311yescharacteristic
468C2×#102C2311yescharacteristic
469C2×#102C2311yescharacteristic
470C2×#102C2311yescharacteristic
471#408—42no—
472C2×C22⋊C8—42no—
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×C22⋊C8C2311yescharacteristic
486C2×C22⋊C8C2311yescharacteristic
487C2×C22⋊C8C2311yescharacteristic
488C2×C22⋊C8C2311yescharacteristic
489C2×#97C2311yescharacteristic
490C2×C4×C8C2311yescharacteristic
491#399—21no—
492#399—21no—
493#398—21no—
494#398—21no—
495#398—21no—
496#398—21no—
497#397—21no—
498#397—21no—
499#397—21no—
500#396—21no—
501#395—21no—
502#395—21no—
503#395—21no—
504#394—21no—
505#394—21no—
506#394—21no—
507#394—21no—
508#394—21no—
509#393—21no—
510#393—21no—
511#391C2311yescharacteristic
512#391C2311yescharacteristic
513#391C2311yescharacteristic
514#390—21no—
515#389—21no—
516#389—21no—
517#389C2311yescharacteristic
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#386—21no—
527#386—21no—
528#386—21no—
529#386—21no—
530#385—21no—
531#385—21no—
532#385—21no—
533#385—21no—
534#385—21no—
535#384—21no—
536#382C2311yescharacteristic
537#380—21no—
538#380C2311yescharacteristic
539#380C2311yescharacteristic
540#380C2311yescharacteristic
541#380C2311yescharacteristic
542#380C2311yescharacteristic
543#379—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
566C25C2×D411yescharacteristic
567C2×#41—22no—
568C2×#41—22no—
569C2×#41—22no—
570C2×#41—22no—
571C2×#41—22no—
572C2×#41—22no—
573C2×#41—41no—
574C2×#41—41no—
575C2×#41—41no—
576C2×#41—41no—
577C2×#41—41no—
578C2×#41—41no—
579C2×#41—41no—
580C2×#41—41no—
581C2×#41—41no—
582C2×#41—41no—
583C2×#41—41no—
584C2×#41—41no—
585C22×Q8—21no—
586C22×Q8—21no—
587C22×Q8—21no—
588C22×Q8—22no—
589C22×Q8—22no—
590C22×Q8—21no—
591C22×Q8—21no—
592C22×Q8—22no—
593C22×Q8—22no—
594C22×Q8—22no—
595C22×Q8—22no—
596C22×Q8—22no—
597C22×Q8—22no—
598C22×Q8—41no—
599C22×Q8—41no—
600C22×Q8—41no—
601C22×Q8—41no—
602C22×Q8—41no—
603C22×Q8—41no—
604C22×Q8—41no—
605C22×Q8—41no—
606C22×Q8—41no—
607C22×Q8—41no—
608C22×Q8—41no—
609C22×Q8—41no—
610C22×Q8—41no—
611C22×Q8—41no—
612C22×Q8C2×D414yes—
613C22×Q8C2×D414yes—
614C22×Q8C2×D411yescharacteristic
615C22×Q8C2411yescharacteristic
616C22×Q8C2411yescharacteristic
617C22×Q8C2411yescharacteristic
618C22×Q8C2411yescharacteristic
619C22×Q8C2411yescharacteristic
620C22×Q8C2411yescharacteristic
621C22×D4—21no—
622C22×D4—21no—
623C22×D4—21no—
624C22×D4—21no—
625C22×D4—21no—
626C22×D4C2×D411yescharacteristic
627C22×D4C2×D411yescharacteristic
628C22×D4C2×D411yescharacteristic
629C22×D4C2×D411yescharacteristic
630C22×D4C2×D411yescharacteristic
631C22×D4C2×D411yescharacteristic
632C22×D4C2×D411yescharacteristic
633C22×D4C2411yescharacteristic
634C23×C4—21no—
635C23×C4—21no—
636C23×C4—21no—
637C23×C4—21no—
638C23×C4—21no—
639C23×C4—21no—
640C23×C4—21no—
641C23×C4—22no—
642C23×C4—22no—
643C23×C4—21no—
644C23×C4—21no—
645C23×C4—21no—
646C23×C4—41no—
647C23×C4—41no—
648C23×C4—41no—
649C23×C4—41no—
650C23×C4C2×D411yescharacteristic
651C23×C4C2×D411yescharacteristic
652C23×C4C2×D411yescharacteristic
653C23×C4C2411yescharacteristic
654C23×C4C2411yescharacteristic
655C23×C4C2411yescharacteristic
656C23×C4C2411yescharacteristic
657C23×C4C2411yescharacteristic
658C2×Q16—22no—
659C2×Q16—22no—
660C2×Q16—22no—
661C2×Q16—22no—
662C2×Q16—22no—
663C2×Q16—22no—
664C2×Q16—22no—
665C2×Q16—22no—
666C2×Q16—22no—
667C2×Q16—22no—
668C2×Q16—22no—
669C2×Q16—22no—
670C2×Q16—22no—
671C2×Q16—22no—
672C2×Q16—22no—
673C2×Q16—41no—
674C2×Q16—41no—
675C2×Q16—41no—
676C2×Q16—41no—
677C2×Q16—41no—
678C2×Q16—41no—
679C2×Q16—41no—
680C2×Q16—41no—
681C2×Q16—41no—
682C2×Q16—41no—
683C2×Q16—41no—
684C2×Q16—41no—
685C2×Q16—416no—
686C2×Q16—416no—
687C2×SD16—22no—
688C2×SD16—22no—
689C2×SD16—22no—
690C2×SD16—22no—
691C2×SD16—41no—
692C2×SD16—41no—
693C2×SD16—41no—
694C2×SD16—41no—
695C2×SD16—41no—
696C2×M16—22no—
697C2×M16—41no—
698C2×M16—41no—
699C22×C8—22no—
700C22×C8—22no—
701C22×C8—22no—
702C22×C8—22no—
703C22×C8—22no—
704C22×C8—41no—
705C22×C8—41no—
706C22×C8—41no—
707C22×C8—41no—
708C22×C8C2411yescharacteristic
709C22×C8C2411yescharacteristic
710C22×C8C2411yescharacteristic
711C22×C8C2411yescharacteristic
712C22×C8C2411yescharacteristic
713C22×C8C2411yescharacteristic
714C22×C8C2411yescharacteristic
715C22×C8C2411yescharacteristic
716C4⋊Q8—28no—
717C4⋊Q8—28no—
718C4⋊Q8—22no—
719C4⋊Q8—22no—
720C4⋊Q8—22no—
721C4⋊Q8—22no—
722C4⋊Q8—22no—
723C4⋊Q8—44no—
724C4⋊Q8—44no—
725C4⋊Q8C2×D414yes—
726#126—28no—
727#126—28no—
728#126—28no—
729#126—28no—
730#126—28no—
731#126—28no—
732#126—28no—
733#125—28no—
734#125—28no—
735#125—28no—
736#125—28no—
737#125—22no—
738#125C2×D414yes—
739#124—28no—
740#124—28no—
741#124—28no—
742#124—28no—
743#124—28no—
744#124—22no—
745#124—22no—
746#124—44no—
747#123—28no—
748#123—28no—
749#123—28no—
750#123—28no—
751#123—28no—
752#123—28no—
753#123—28no—
754#123—24no—
755#123—28no—
756#123—24no—
757#123—44no—
758#123—44no—
759C22⋊Q8—28no—
760C22⋊Q8—28no—
761C22⋊Q8—28no—
762C22⋊Q8—28no—
763C22⋊Q8—28no—
764C22⋊Q8—28no—
765C22⋊Q8—28no—
766C22⋊Q8—28no—
767C22⋊Q8—22no—
768C22⋊Q8—22no—
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—24no—
778C22⋊Q8—22no—
779C22⋊Q8—22no—
780C22⋊Q8—22no—
781C22⋊Q8—22no—
782C22⋊Q8—22no—
783C22⋊Q8—22no—
784C22⋊Q8—22no—
785C22⋊Q8—22no—
786C22⋊Q8—28no—
787C22⋊Q8—28no—
788C22⋊Q8—24no—
789C22⋊Q8—22no—
790C22⋊Q8—22no—
791C22⋊Q8—22no—
792C22⋊Q8—22no—
793C22⋊Q8—22no—
794C22⋊Q8—22no—
795C22⋊Q8—22no—
796C22⋊Q8—22no—
797C22⋊Q8—44no—
798C22⋊Q8—41no—
799C22⋊Q8—41no—
800C22⋊Q8—41no—
801C22⋊Q8—41no—
802C22⋊Q8—41no—
803C22⋊Q8—41no—
804C22⋊Q8—41no—
805C22⋊Q8—41no—
806C22⋊Q8—44no—
807C22⋊Q8—44no—
808C22⋊Q8—44no—
809C22⋊Q8—41no—
810C22⋊Q8—41no—
811C22⋊Q8—41no—
812C22⋊Q8—41no—
813C22⋊Q8C2×D414yes—
814C22⋊Q8C2×D414yes—
815#121—28no—
816#121—28no—
817#121—28no—
818#121—28no—
819#121—28no—
820#121—28no—
821#121—28no—
822#121—24no—
823#121—22no—
824#121—22no—
825#121—22no—
826#121—22no—
827#121—24no—
828#121C2×D414yes—
829#121C2×D414yes—
830#120—28no—
831#120—24no—
832#120—24no—
833C4×Q8—28no—
834C4×Q8—22no—
835C4×Q8—22no—
836C4×Q8—22no—
837C4×Q8—22no—
838C4×Q8—22no—
839C4×Q8—22no—
840C4×Q8—22no—
841C4×Q8C2×D414yes—
842C4×D4—28no—
843C4×D4—28no—
844C4×D4—28no—
845C4×D4—28no—
846C4×D4—28no—
847C4×D4—28no—
848C4×D4—22no—
849C4×D4—22no—
850C4×D4—22no—
851C4×D4—22no—
852C4×D4—28no—
853C4×D4—22no—
854C4×D4—22no—
855C4×D4—22no—
856C4×D4—44no—
857C4×D4C2×D414yes—
858C4×D4C2×D414yes—
859C4×D4C2×D414yes—
860#117—28no—
861#117—22no—
862#117—22no—
863#117—22no—
864#117—22no—
865#117—22no—
866#117—22no—
867#117—41no—
868#117C2×D414yes—
869C2×C4⋊C4—28no—
870C2×C4⋊C4—28no—
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—22no—
881C2×C4⋊C4—21no—
882C2×C4⋊C4—21no—
883C2×C4⋊C4—21no—
884C2×C4⋊C4—21no—
885C2×C4⋊C4—21no—
886C2×C4⋊C4—21no—
887C2×C4⋊C4—21no—
888C2×C4⋊C4—21no—
889C2×C4⋊C4—21no—
890C2×C4⋊C4—21no—
891C2×C4⋊C4—21no—
892C2×C4⋊C4—22no—
893C2×C4⋊C4—22no—
894C2×C4⋊C4—22no—
895C2×C4⋊C4—21no—
896C2×C4⋊C4—21no—
897C2×C4⋊C4—21no—
898C2×C4⋊C4—21no—
899C2×C4⋊C4—21no—
900C2×C4⋊C4—21no—
901C2×C4⋊C4—21no—
902C2×C4⋊C4—21no—
903C2×C4⋊C4—21no—
904C2×C4⋊C4—21no—
905C2×C4⋊C4—21no—
906C2×C4⋊C4—21no—
907C2×C4⋊C4—21no—
908C2×C4⋊C4—21no—
909C2×C4⋊C4—21no—
910C2×C4⋊C4—41no—
911C2×C4⋊C4—44no—
912C2×C4⋊C4C2×D411yescharacteristic
913C2×C4⋊C4C2×D411yescharacteristic
914C2×C4⋊C4C2×D411yescharacteristic
915C2×C4⋊C4C2×D411yescharacteristic
916C2×C4⋊C4C2×D411yescharacteristic
917C2×C4⋊C4C2×D414yes—
918C2×C4⋊C4C2×D411yescharacteristic
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2411yescharacteristic
928C2×C22⋊C4—28no—
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⋊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—21no—
963C2×C22⋊C4—44no—
964C2×C22⋊C4C2×D411yescharacteristic
965C2×C22⋊C4C2×D411yescharacteristic
966C2×C22⋊C4C2×D411yescharacteristic
967C2×C22⋊C4C2×D411yescharacteristic
968C2×C22⋊C4C2×D411yescharacteristic
969C2×C22⋊C4C2×D411yescharacteristic
970C2×C22⋊C4C2×D411yescharacteristic
971C2×C22⋊C4C2×D411yescharacteristic
972C2×C22⋊C4C2×D411yescharacteristic
973C2×C22⋊C4C2×D411yescharacteristic
974C2×C42—21no—
975C2×C42—21no—
976C2×C42—21no—
977C2×C42—21no—
978C2×C42—21no—
979C2×C42—21no—
980C2×C42—21no—
981C2×C42—21no—
982C2×C42C2411yescharacteristic
983C2×C42C2411yescharacteristic
984#107—22no—
985#107—22no—
986#107—22no—
987#106—22no—
988C4⋊C8—22no—
989C4⋊C8—22no—
990#103—22no—
991#103—22no—
992#103—22no—
993#103—22no—
994#103—22no—
995#103—22no—
996#103—22no—
997#103—22no—
998#103—22no—
999#103—22no—
1000#103—22no—
1001#103—22no—
1002#103—22no—
1003#103—22no—
1004#103—22no—
1005#103—22no—
1006#103—22no—
1007#103—22no—
1008#103—41no—
1009#103—41no—
1010#103—41no—
1011#103—41no—
1012#103—41no—
1013#103—41no—
1014#103—41no—
1015#103—41no—
1016#103—41no—
1017#102—22no—
1018#102—22no—
1019#102—22no—
1020#102—41no—
1021#102—41no—
1022C22⋊C8—22no—
1023C22⋊C8—22no—
1024C22⋊C8—22no—
1025C22⋊C8—22no—
1026C22⋊C8—22no—
1027C22⋊C8—22no—
1028C22⋊C8—22no—
1029C22⋊C8—41no—
1030C22⋊C8—41no—
1031C22⋊C8—41no—
1032C22⋊C8—41no—
1033C22⋊C8—41no—
1034C22⋊C8—41no—
1035C22⋊C8—41no—
1036C22⋊C8—41no—
1037C22⋊C8—41no—
1038#97—22no—
1039C4×C8—22no—
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—
1051#95—21no—
1052#95—21no—
1053#95—21no—
1054#95—21no—
1055C24—22no—
1056C24—21no—
1057C24—22no—
1058C24—22no—
1059C24—41no—
1060C24—41no—
1061C24—41no—
1062C24—41no—
1063C24C22×D411yescharacteristic
1064C24C22×D411yescharacteristic
1065C24C22×D411yescharacteristic
1066C24C22×D411yescharacteristic
1067C24C22×D411yescharacteristic
1068#41—82no—
1069#41—82no—
1070#41—82no—
1071#41—82no—
1072#41—82no—
1073#41—82no—
1074#41—82no—
1075#41—82no—
1076#41—82no—
1077#41—82no—
1078#41—82no—
1079#41—82no—
1080C2×Q8—24no—
1081C2×Q8—24no—
1082C2×Q8—22no—
1083C2×Q8—24no—
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—21no—
1111C2×Q8—21no—
1112C2×Q8—21no—
1113C2×Q8—21no—
1114C2×Q8—21no—
1115C2×Q8—21no—
1116C2×Q8—41no—
1117C2×Q8—41no—
1118C2×Q8—42no—
1119C2×Q8—42no—
1120C2×Q8—44no—
1121C2×Q8—44no—
1122C2×Q8—44no—
1123C2×Q8—44no—
1124C2×Q8—44no—
1125C2×Q8—44no—
1126C2×Q8—44no—
1127C2×Q8—44no—
1128C2×Q8—42no—
1129C2×Q8—42no—
1130C2×Q8—81no—
1131C2×Q8—81no—
1132C2×Q8—81no—
1133C2×Q8—81no—
1134C2×Q8—81no—
1135C2×Q8—81no—
1136C2×Q8—81no—
1137C2×Q8—81no—
1138C2×Q8—82no—
1139C2×Q8—82no—
1140C2×Q8—82no—
1141C2×Q8—82no—
1142C2×Q8—82no—
1143C2×Q8—82no—
1144C2×Q8—82no—
1145C2×Q8—82no—
1146C2×Q8C22×D412yes—
1147C2×Q8C22×D412yes—
1148C2×Q8C22×D412yes—
1149C2×Q8H(5,𝔽2)12yes—
1150C2×D4—22no—
1151C2×D4—22no—
1152C2×D4—22no—
1153C2×D4—24no—
1154C2×D4—22no—
1155C2×D4—22no—
1156C2×D4—24no—
1157C2×D4—24no—
1158C2×D4—24no—
1159C2×D4—22no—
1160C2×D4—24no—
1161C2×D4—22no—
1162C2×D4—22no—
1163C2×D4—22no—
1164C2×D4—22no—
1165C2×D4—21no—
1166C2×D4—21no—
1167C2×D4—21no—
1168C2×D4—21no—
1169C2×D4—21no—
1170C2×D4—41no—
1171C2×D4—41no—
1172C2×D4—41no—
1173C2×D4—41no—
1174C2×D4—41no—
1175C2×D4—41no—
1176C2×D4—41no—
1177C2×D4—41no—
1178C2×D4—41no—
1179C2×D4—41no—
1180C2×D4—42no—
1181C2×D4—42no—
1182C2×D4—81no—
1183C2×D4—81no—
1184C2×D4—81no—
1185C2×D4—81no—
1186C2×D4—81no—
1187C2×D4—81no—
1188C2×D4—81no—
1189C2×D4—81no—
1190C2×D4#12014yes—
1191C2×D4C22×D412yes—
1192C22×C4—21no—
1193C22×C4—21no—
1194C22×C4—21no—
1195C22×C4—21no—
1196C22×C4—21no—
1197C22×C4—21no—
1198C22×C4—21no—
1199C22×C4—21no—
1200C22×C4—21no—
1201C22×C4—21no—
1202C22×C4—21no—
1203C22×C4—21no—
1204C22×C4—21no—
1205C22×C4—21no—
1206C22×C4—21no—
1207C22×C4—21no—
1208C22×C4—21no—
1209C22×C4—24no—
1210C22×C4—24no—
1211C22×C4—24no—
1212C22×C4—24no—
1213C22×C4—24no—
1214C22×C4—22no—
1215C22×C4—24no—
1216C22×C4—21no—
1217C22×C4—21no—
1218C22×C4—21no—
1219C22×C4—21no—
1220C22×C4—21no—
1221C22×C4—21no—
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—24no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—21no—
1238C22×C4—21no—
1239C22×C4—21no—
1240C22×C4—21no—
1241C22×C4—21no—
1242C22×C4—21no—
1243C22×C4—41no—
1244C22×C4—41no—
1245C22×C4—41no—
1246C22×C4—41no—
1247C22×C4—41no—
1248C22×C4—41no—
1249C22×C4—42no—
1250C22×C4—42no—
1251C22×C4—42no—
1252C22×C4—42no—
1253C22×C4—42no—
1254C22×C4—42no—
1255C22×C4—82no—
1256C22×C4—82no—
1257C22×C4—82no—
1258C22×C4—82no—
1259C22×C4—81no—
1260C22×C4—81no—
1261C22×C4—81no—
1262C22×C4—81no—
1263C22×C4—81no—
1264C22×C4—81no—
1265C22×C4—81no—
1266C22×C4—81no—
1267C22×C4—81no—
1268C22×C4—81no—
1269C22×C4—81no—
1270C22×C4—81no—
1271C22×C4—81no—
1272C22×C4—81no—
1273C22×C4—81no—
1274C22×C4—81no—
1275C22×C4—81no—
1276C22×C4C22×D411yescharacteristic
1277C22×C4C22×D411yescharacteristic
1278C22×C4C22×D411yescharacteristic
1279C22×C4C22×D411yescharacteristic
1280C22×C4C22×D411yescharacteristic
1281C22×C4C22×D411yescharacteristic
1282C22×C4C22×D411yescharacteristic
1283C22×C4C22×D411yescharacteristic
1284C22×C4C22×D411yescharacteristic
1285C22×C4C22×D412yes—
1286C22×C4C22×D412yes—
1287C22×C4C22×D412yes—
1288C22×C4C22×D412yes—
1289C22×C4C2511yescharacteristic
1290Q16—28no—
1291Q16—44no—
1292Q16—44no—
1293Q16—44no—
1294Q16—44no—
1295Q16—44no—
1296Q16—44no—
1297Q16—82no—
1298Q16—82no—
1299SD16—44no—
1300SD16—82no—
1301SD16—82no—
1302M16—82no—
1303C2×C8—21no—
1304C2×C8—21no—
1305C2×C8—21no—
1306C2×C8—21no—
1307C2×C8—21no—
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—44no—
1327C2×C8—44no—
1328C2×C8—82no—
1329C2×C8H(5,𝔽2)12yes—
1330C4⋊C4—24no—
1331C4⋊C4—24no—
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—24no—
1344C4⋊C4—24no—
1345C4⋊C4—24no—
1346C4⋊C4—24no—
1347C4⋊C4—24no—
1348C4⋊C4—24no—
1349C4⋊C4—24no—
1350C4⋊C4—24no—
1351C4⋊C4—22no—
1352C4⋊C4—22no—
1353C4⋊C4—22no—
1354C4⋊C4—22no—
1355C4⋊C4—21no—
1356C4⋊C4—21no—
1357C4⋊C4—21no—
1358C4⋊C4—21no—
1359C4⋊C4—21no—
1360C4⋊C4—21no—
1361C4⋊C4—21no—
1362C4⋊C4—21no—
1363C4⋊C4—21no—
1364C4⋊C4—21no—
1365C4⋊C4—21no—
1366C4⋊C4—21no—
1367C4⋊C4—21no—
1368C4⋊C4—42no—
1369C4⋊C4—42no—
1370C4⋊C4—42no—
1371C4⋊C4—42no—
1372C4⋊C4—42no—
1373C4⋊C4—42no—
1374C4⋊C4—42no—
1375C4⋊C4—42no—
1376C4⋊C4—42no—
1377C4⋊C4—42no—
1378C4⋊C4—42no—
1379C4⋊C4—42no—
1380C4⋊C4—81no—
1381C4⋊C4—81no—
1382C4⋊C4—81no—
1383C4⋊C4#12014yes—
1384C4⋊C4C22×D412yes—
1385C4⋊C4C22×D412yes—
1386C4⋊C4C22×D412yes—
1387C4⋊C4C22×D412yes—
1388C4⋊C4H(5,𝔽2)12yes—
1389C22⋊C4—24no—
1390C22⋊C4—24no—
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—24no—
1401C22⋊C4—24no—
1402C22⋊C4—24no—
1403C22⋊C4—24no—
1404C22⋊C4—22no—
1405C22⋊C4—22no—
1406C22⋊C4—24no—
1407C22⋊C4—24no—
1408C22⋊C4—24no—
1409C22⋊C4—22no—
1410C22⋊C4—22no—
1411C22⋊C4—22no—
1412C22⋊C4—22no—
1413C22⋊C4—22no—
1414C22⋊C4—22no—
1415C22⋊C4—42no—
1416C22⋊C4—42no—
1417C22⋊C4—42no—
1418C22⋊C4—42no—
1419C22⋊C4—42no—
1420C22⋊C4—42no—
1421C22⋊C4—42no—
1422C22⋊C4—42no—
1423C22⋊C4—42no—
1424C22⋊C4—42no—
1425C22⋊C4—42no—
1426C22⋊C4—81no—
1427C22⋊C4—81no—
1428C22⋊C4—81no—
1429C22⋊C4—81no—
1430C22⋊C4—81no—
1431C22⋊C4#12014yes—
1432C22⋊C4#12014yes—
1433C42—24no—
1434C42—24no—
1435C42—24no—
1436C42—24no—
1437C42—24no—
1438C42—21no—
1439C42—21no—
1440C42—42no—
1441C42—42no—
1442C42—81no—
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—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—22no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—44no—
1478C23—44no—
1479C23—41no—
1480C23—41no—
1481C23—41no—
1482C23—41no—
1483C23—44no—
1484C23—41no—
1485C23—41no—
1486C23—82no—
1487C23—82no—
1488C23—82no—
1489C23—82no—
1490C23C2×#12012yes—
1491C23C2×#12012yes—
1492C23#57812yes—
1493C23#57812yes—
1494C23C23×D411yescharacteristic
1495Q8—22no—
1496Q8—22no—
1497Q8—22no—
1498Q8—22no—
1499Q8—22no—
1500Q8—22no—
1501Q8—22no—
1502Q8—22no—
1503Q8—41no—
1504Q8—41no—
1505Q8—41no—
1506Q8—41no—
1507Q8—41no—
1508Q8—41no—
1509Q8—41no—
1510Q8—41no—
1511Q8—41no—
1512Q8—41no—
1513Q8—41no—
1514Q8—41no—
1515Q8—41no—
1516Q8—41no—
1517Q8—41no—
1518Q8—41no—
1519Q8—84no—
1520Q8—84no—
1521Q8—82no—
1522Q8—84no—
1523Q8—84no—
1524Q8—84no—
1525D4—28no—
1526D4—22no—
1527D4—22no—
1528D4—44no—
1529D4—48no—
1530D4—41no—
1531D4—41no—
1532D4—82no—
1533D4—82no—
1534D4—82no—
1535D4—82no—
1536D4—82no—
1537D4—84no—
1538D4—84no—
1539D4—84no—
1540D4—84no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—22no—
1561C2×C4—21no—
1562C2×C4—22no—
1563C2×C4—21no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—41no—
1582C2×C4—41no—
1583C2×C4—41no—
1584C2×C4—41no—
1585C2×C4—41no—
1586C2×C4—41no—
1587C2×C4—41no—
1588C2×C4—41no—
1589C2×C4—41no—
1590C2×C4—41no—
1591C2×C4—41no—
1592C2×C4—41no—
1593C2×C4—41no—
1594C2×C4—41no—
1595C2×C4—41no—
1596C2×C4—41no—
1597C2×C4—41no—
1598C2×C4—41no—
1599C2×C4—41no—
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—82no—
1630C2×C4—82no—
1631C2×C4—84no—
1632C2×C4—82no—
1633C2×C4—84no—
1634C2×C4—84no—
1635C2×C4—84no—
1636C2×C4—84no—
1637C2×C4—84no—
1638C2×C4—84no—
1639C2×C4—84no—
1640C2×C4—84no—
1641C2×C4—84no—
1642C2×C4C2×#12012yes—
1643C2×C4C2×#12012yes—
1644C2×C4C2×#12012yes—
1645C2×C4C2×#12012yes—
1646C2×C4C23×D411yescharacteristic
1647C2×C4C23×D411yescharacteristic
1648C2×C4C2×H(5,𝔽2)11yescharacteristic
1649C2×C4C2×H(5,𝔽2)11yescharacteristic
1650C2×C4C2×H(5,𝔽2)11yescharacteristic
1651C2×C4#58511yescharacteristic
1652C8—22no—
1653C8—41no—
1654C8—41no—
1655C8—41no—
1656C8—41no—
1657C8—41no—
1658C8—41no—
1659C8—41no—
1660C22—22no—
1661C22—22no—
1662C22—22no—
1663C22—22no—
1664C22—22no—
1665C22—22no—
1666C22—22no—
1667C22—22no—
1668C22—22no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—41no—
1678C22—41no—
1679C22—42no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—42no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—42no—
1695C22—41no—
1696C22—41no—
1697C22—88no—
1698C22—81no—
1699C22—81no—
1700C22—81no—
1701C22—81no—
1702C22#301114yes—
1703C22C22×#12011yescharacteristic
1704C22#348411yescharacteristic
1705C22#349611yescharacteristic
1706C22C2×#57811yescharacteristic
1707C22C2×#57811yescharacteristic
1708C22#358411yescharacteristic
1709C22#358611yescharacteristic
1710C4—22no—
1711C4—22no—
1712C4—22no—
1713C4—22no—
1714C4—41no—
1715C4—41no—
1716C4—41no—
1717C4—42no—
1718C4—42no—
1719C4—42no—
1720C4—42no—
1721C4—42no—
1722C4—41no—
1723C4—42no—
1724C4—41no—
1725C4—42no—
1726C4—42no—
1727C4—42no—
1728C4—81no—
1729C4—81no—
1730C4—81no—
1731C4—81no—
1732C4—81no—
1733C4—81no—
1734C4#348411yescharacteristic
1735C4#348811yescharacteristic
1736C4#349611yescharacteristic
1737C4#349811yescharacteristic
1738C2—24no—
1739C2—42no—
1740C2—81no—
1741C2—81no—
1742C2—81no—
1743C2—82no—
1744C2#3568011yescharacteristic
1745C2C2×#301111yescharacteristic
1746C2#6037711yescharacteristic
1747C2#6161211yescharacteristic
1748C2#6164211yescharacteristic
1749C2#6226711yescharacteristic
1750C2#6231711yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC2×#3541C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C2×#525 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C2×#3320C2semidirect
3. C2×D4×Q16C2semidirect
4. #37651C2semidirect
5. #29672C2semidirect
6. #29605C2semidirect
7. #29597C2semidirect
8. #25758C2semidirect
9. #25609C2semidirect
10. #25584C2semidirect
11. #25545C2semidirect
12. #25542C2semidirect
13. #24447C2semidirect
14. #24431C2semidirect
15. #24393C2semidirect
16. #24383C2semidirect
17. #24253C2semidirect
18. #24165C2semidirect
19. #24127C2semidirect
20. #23980C2semidirect
21. #23970C2semidirect
22. #23927C2semidirect
23. #23922C2semidirect
24. #23859C2semidirect
25. #23859C2semidirect
26. #23585C2semidirect
27. #23389C2semidirect
28. C2×#2001C2semidirect
29. #22488C2semidirect
30. #22425C2semidirect
31. #22398C2semidirect
33. C23×Q16C22semidirect
64. C2×#494C22semidirect
65. C2×#491C22semidirect
67. C2×#485C22semidirect
68. C2×#479C22semidirect
69. C2×#468C22semidirect
71. C2×#467C22semidirect
73. C2×#462C22semidirect
74. C2×#462C22semidirect
75. C2×#461C22semidirect
79. C2×#452C22semidirect
80. C2×#452C22semidirect
81. C2×#452C22semidirect
84. C2×#451C22semidirect
85. C2×#451C22semidirect
87. C2×#448C22semidirect
88. C2×#440C22semidirect
89. C2×C4×Q16C22semidirect
92. C2×#419C22semidirect
93. C2×#419C22semidirect
117. #2057C22semidirect
118. #2042C22semidirect
123. #2036C22semidirect
125. #2035C22semidirect
127. #2024C22semidirect
128. #2024C22semidirect
129. #2024C22semidirect
130. #2015C22semidirect
131. #2015C22semidirect
132. #2015C22semidirect
148. #2001C22semidirect
149. #2001C22semidirect
150. #2001C22semidirect
151. #2001C22semidirect
152. #2001C22semidirect
153. #2001C22semidirect
157. #1991C22semidirect
158. #1989C22semidirect
159. #1981C22semidirect
160. #1960C22semidirect
163. #1894C22semidirect
165. #1893C22semidirect
167. #1878C22semidirect
168. #1878C22semidirect
169. #1878C22semidirect
170. #1878C22semidirect
171. #1878C22semidirect
172. #1878C22semidirect
173. #1875C22semidirect
178. #1873C22semidirect
180. #1872C22semidirect
181. #1872C22semidirect
182. #1872C22semidirect
187. #1865C22semidirect
188. #1863C22semidirect
190. #1852C22semidirect
191. #1825C22semidirect
193. #1805C22semidirect
194. #1804C22semidirect
197. #1788C22semidirect
199. #1787C22semidirect
202. #1763C22semidirect
203. C4×#102C22semidirect
205. #1735C22semidirect

Maximal subgroups

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

subgroupindex
C2×#35412
C2×#33202
C2×D4×Q162
#376512
#296722
#296052
#295972
#257582
#256092
#255842
#255452
#255422
#244472
#244312
#243932
#243832
#242532
#241652
#241272
#239802
#239702
#239272
#239222
#238592
#235852
#233892
C2×#20012
#224882
#224252
#223982