Finite Group Databasebeta

← #7019958

Subgroups — #7019958

Order 512.

2389 conjugacy classes of subgroups.

The subgroup lattice has 1639 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59025C211yesmaximal, characteristic, complemented
2#58997C211yesmaximal, characteristic
3#31854C211yesmaximal, characteristic, complemented
4#31839C211yesmaximal, characteristic, complemented
5#31726C211yesmaximal, characteristic, complemented
6#31400C211yesmaximal, characteristic, complemented
7#31028C211yesmaximal, characteristic, complemented
8#31004C211yesmaximal, characteristic, complemented
9#30730C211yesmaximal, characteristic, complemented
10#30527C211yesmaximal, characteristic, complemented
11#27254C211yesmaximal, characteristic, complemented
12#26950C211yesmaximal, characteristic, complemented
13#26739C211yesmaximal, characteristic, complemented
14#26659C211yesmaximal, characteristic, complemented
15#26630C211yesmaximal, characteristic, complemented
16#26408C211yesmaximal, characteristic, complemented
17#26212C211yesmaximal, characteristic, complemented
18#25574C211yesmaximal, characteristic, complemented
19#25130C211yesmaximal, characteristic, complemented
20#24448C211yesmaximal, characteristic, complemented
21#24356C211yesmaximal, characteristic, complemented
22#24240C211yesmaximal, characteristic, complemented
23#24009C211yesmaximal, characteristic, complemented
24#23979C211yesmaximal, characteristic, complemented
25#23919C211yesmaximal, characteristic, complemented
26#23849C211yesmaximal, characteristic, complemented
27C2×#2000C211yesmaximal, characteristic, complemented
28#22875C211yesmaximal, characteristic, complemented
29#22423C211yesmaximal, characteristic, complemented
30#22032C211yesmaximal, characteristic, complemented
31#21761C211yesmaximal, characteristic, complemented
32C23×SD16C2211yescharacteristic, complemented
33C2×#556C2211yescharacteristic, complemented
34C2×D42—21no—
35C2×D42C2211yescharacteristic
36C2×D42C2211yescharacteristic
37C22×C22⋊Q8C2211yescharacteristic, complemented
38C22×#121C2211yescharacteristic
39C22×#121C2211yescharacteristic
40C2×#486C2211yescharacteristic, complemented
41C2×#482C2211yescharacteristic, complemented
42C2×#482C2211yescharacteristic, complemented
43C2×#468C2211yescharacteristic, complemented
44C2×#460C2211yescharacteristic, complemented
45C2×#460C2211yescharacteristic, complemented
46C2×#448C2211yescharacteristic
47C2×#448C2211yescharacteristic, complemented
48C2×#450C2211yescharacteristic, complemented
49C2×#450C2211yescharacteristic, complemented
50C2×#450C2211yescharacteristic, complemented
51C2×#450C2211yescharacteristic, complemented
52C2×C4×SD16C2211yescharacteristic, complemented
53C2×#435C2211yescharacteristic, complemented
54C2×#418C2211yescharacteristic, complemented
55C22×#103C2211yescharacteristic, complemented
56C22×#102C2211yescharacteristic, complemented
57C22×C22⋊C8C2211yescharacteristic, complemented
58#2700—21no—
59#2689—21no—
60#2675—21no—
61#2669—21no—
62#2560—21no—
63#2541C2211yescharacteristic
64#2538C2211yescharacteristic, complemented
65#2499C2211yescharacteristic, complemented
66#2492C2211yescharacteristic, complemented
67#2481—21no—
68#2480—21no—
69#2472—21no—
70#2465—21no—
71#2440C2211yescharacteristic, complemented
72#2433C2211yescharacteristic
73#2433C2211yescharacteristic
74#2428C2211yescharacteristic
75#2428C2211yescharacteristic
76#2424—21no—
77#2424—21no—
78#2421C2211yescharacteristic, complemented
79#2416C2211yescharacteristic
80#2416C2211yescharacteristic
81#2415C2211yescharacteristic, complemented
82#2415C2211yescharacteristic, complemented
83#2410—21no—
84#2410—21no—
85#2409C2211yescharacteristic, complemented
86#2408C2211yescharacteristic
87#2403—21no—
88#2362C2211yescharacteristic, complemented
89#2361C2211yescharacteristic
90#2361C2211yescharacteristic
91#2360—21no—
92#2352C2211yescharacteristic, complemented
93Q8×C22⋊C4C2211yescharacteristic, complemented
94C4×#120C2211yescharacteristic
95#2280C2211yescharacteristic, complemented
96#2101C2211yescharacteristic, complemented
97#2099C2211yescharacteristic, complemented
98#2086C2211yescharacteristic, complemented
99#2077C2211yescharacteristic, complemented
100#2073C2211yescharacteristic, complemented
101#2071C2211yescharacteristic, complemented
102#2068C2211yescharacteristic, complemented
103#2067C2211yescharacteristic, complemented
104#2055C2211yescharacteristic, complemented
105#2055C2211yescharacteristic, complemented
106#2055C2211yescharacteristic, complemented
107#2041C2211yescharacteristic, complemented
108#2041C2211yescharacteristic, complemented
109#2036C2211yescharacteristic, complemented
110#2034C2211yescharacteristic
111#2034C2211yescharacteristic, complemented
112#2034C2211yescharacteristic, complemented
113#2033C2211yescharacteristic
114#2033C2211yescharacteristic, complemented
115#2023C2211yescharacteristic, complemented
116#2023C2211yescharacteristic, complemented
117#2014C2211yescharacteristic, complemented
118#2014C2211yescharacteristic, complemented
119#2014C2211yescharacteristic, complemented
120#2014C2211yescharacteristic, complemented
121#2000C2211yescharacteristic
122#2000C2211yescharacteristic
123#2000C2211yescharacteristic, complemented
124#2000C2211yescharacteristic, complemented
125#2000C2211yescharacteristic, complemented
126#2000C2211yescharacteristic, complemented
127#2000C2211yescharacteristic, complemented
128#2000C2211yescharacteristic, complemented
129#2000C2211yescharacteristic, complemented
130#2000C2211yescharacteristic, complemented
131#2000C2211yescharacteristic, complemented
132#2000C2211yescharacteristic, complemented
133#2000C2211yescharacteristic, complemented
134#2000C2211yescharacteristic, complemented
135#2000C2211yescharacteristic, complemented
136#1988C2211yescharacteristic, complemented
137#1982C2211yescharacteristic, complemented
138#1973C2211yescharacteristic, complemented
139#1968C2211yescharacteristic, complemented
140#1961C2211yescharacteristic, complemented
141#1957C2211yescharacteristic, complemented
142#1954C2211yescharacteristic, complemented
143#1954C2211yescharacteristic, complemented
144#1935C2211yescharacteristic, complemented
145#1934C2211yescharacteristic, complemented
146#1934C2211yescharacteristic, complemented
147#1933C2211yescharacteristic, complemented
148#1927C2211yescharacteristic, complemented
149#1926C2211yescharacteristic, complemented
150#1924C2211yescharacteristic, complemented
151#1924C2211yescharacteristic, complemented
152#1923C2211yescharacteristic, complemented
153#1923C2211yescharacteristic, complemented
154#1920C2211yescharacteristic, complemented
155#1918C2211yescharacteristic, complemented
156#1895C2211yescharacteristic, complemented
157#1894C2211yescharacteristic, complemented
158#1893C2211yescharacteristic
159#1893C2211yescharacteristic
160#1893C2211yescharacteristic, complemented
161#1893C2211yescharacteristic, complemented
162#1880C2211yescharacteristic, complemented
163#1880C2211yescharacteristic, complemented
164#1880C2211yescharacteristic, complemented
165#1877C2211yescharacteristic, complemented
166#1877C2211yescharacteristic, complemented
167#1877C2211yescharacteristic, complemented
168#1875C2211yescharacteristic, complemented
169#1875C2211yescharacteristic, complemented
170#1875C2211yescharacteristic, complemented
171#1875C2211yescharacteristic, complemented
172#1875C2211yescharacteristic, complemented
173#1875C2211yescharacteristic, complemented
174#1875C2211yescharacteristic, complemented
175#1875C2211yescharacteristic, complemented
176#1874C2211yescharacteristic
177#1874C2211yescharacteristic, complemented
178#1872C2211yescharacteristic, complemented
179#1872C2211yescharacteristic, complemented
180#1870C2211yescharacteristic, complemented
181#1870C2211yescharacteristic, complemented
182#1869C2211yescharacteristic, complemented
183#1865C2211yescharacteristic, complemented
184#1862C2211yescharacteristic, complemented
185#1853C2211yescharacteristic, complemented
186#1852C2211yescharacteristic, complemented
187#1850C2211yescharacteristic, complemented
188#1825C2211yescharacteristic, complemented
189#1824C2211yescharacteristic, complemented
190#1824C2211yescharacteristic, complemented
191#1804C2211yescharacteristic, complemented
192#1802C2211yescharacteristic, complemented
193#1786C2211yescharacteristic, complemented
194#1786C2211yescharacteristic, complemented
195#1786C2211yescharacteristic, complemented
196#1786C2211yescharacteristic, complemented
197#1786C2211yescharacteristic, complemented
198#1779C2211yescharacteristic, complemented
199#1762C2211yescharacteristic, complemented
200C4×#103C2211yescharacteristic, complemented
201C8×C22⋊C4C2211yescharacteristic, complemented
202C2×#340C2211yescharacteristic, complemented
203C23×Q8C2311yescharacteristic
204C23×D4—21no—
205C23×D4—21no—
206C23×D4—21no—
207C23×D4—21no—
208C23×D4C2311yescharacteristic
209C23×D4C2311yescharacteristic
210C23×D4C2311yescharacteristic
211C24×C4C2311yescharacteristic
212C22×SD16—42no—
213C22×SD16—42no—
214C22×SD16—42no—
215C22×SD16C2311yescharacteristic
216C22×SD16C2311yescharacteristic
217C22×SD16C2311yescharacteristic
218C22×SD16C2311yescharacteristic
219C22×SD16C2311yescharacteristic
220C22×SD16C2311yescharacteristic
221C22×SD16C2311yescharacteristic
222C22×SD16C2311yescharacteristic
223C22×M16C2311yescharacteristic
224C23×C8C2311yescharacteristic
225C23×C8C2311yescharacteristic
226#556—42no—
227#556—42no—
228D42—24no—
229D42—42no—
230D42—42no—
231D42—48no—
232D42—42no—
233C2×C4⋊Q8C2311yescharacteristic
234C2×#127—21no—
235C2×#127C2311yescharacteristic
236C2×#127C2311yescharacteristic
237C2×#127C2311yescharacteristic
238C2×#126—21no—
239C2×#126—21no—
240C2×#124—21no—
241C2×C22⋊Q8—21no—
242C2×C22⋊Q8—21no—
243C2×C22⋊Q8—21no—
244C2×C22⋊Q8—42no—
245C2×C22⋊Q8—42no—
246C2×C22⋊Q8C2311yescharacteristic
247C2×C22⋊Q8C2311yescharacteristic
248C2×C22⋊Q8C2311yescharacteristic
249C2×C22⋊Q8C2311yescharacteristic
250C2×C22⋊Q8C2311yescharacteristic
251C2×C22⋊Q8C2311yescharacteristic
252C2×#121—21no—
253C2×#121—21no—
254C2×#121—21no—
255C2×#121—21no—
256C2×#121—21no—
257C2×#121—21no—
258C2×#121—21no—
259C2×#121—21no—
260C2×#121—21no—
261C2×#121—21no—
262C2×#121—24no—
263C2×#121—42no—
264C2×#121—42no—
265C2×#121—42no—
266C2×#121C2311yescharacteristic
267C2×#121C2311yescharacteristic
268C2×#121C2311yescharacteristic
269C2×#121C2311yescharacteristic
270C2×#121C2311yescharacteristic
271C2×#121C2311yescharacteristic
272C2×#121C2311yescharacteristic
273C2×#121C2311yescharacteristic
274C2×#121C2311yescharacteristic
275C2×#121C2311yescharacteristic
276C2×#120—21no—
277C2×#120—21no—
278C2×#120—21no—
279C2×#120—21no—
280C2×#120—21no—
281C2×#120—21no—
282C2×#120—21no—
283C2×#120—21no—
284C2×#120—21no—
285C2×#120D411yescharacteristic
286C2×C4×Q8—21no—
287C2×C4×Q8C2311yescharacteristic
288C2×C4×Q8C2311yescharacteristic
289C2×C4×D4—21no—
290C2×C4×D4—21no—
291C2×C4×D4C2311yescharacteristic
292C2×C4×D4C2311yescharacteristic
293C2×C4×D4C2311yescharacteristic
294C2×C4×D4C2311yescharacteristic
295C2×C4×D4C2311yescharacteristic
296C2×#117C2311yescharacteristic
297C2×#117C2311yescharacteristic
298C2×#117C2311yescharacteristic
299C22×C4⋊C4—21no—
300C22×C4⋊C4C2311yescharacteristic
301C22×C4⋊C4C2311yescharacteristic
302C22×C4⋊C4C2311yescharacteristic
303C22×C22⋊C4—21no—
304C22×C22⋊C4—21no—
305C22×C22⋊C4—21no—
306#486—42no—
307#482—42no—
308#482—42no—
309#468—42no—
310#460—42no—
311#460—42no—
312#450—42no—
313#450—42no—
314#450—42no—
315#450—42no—
316#448—24no—
317#448—42no—
318C4×SD16—42no—
319#435—42no—
320C2×#107C2311yescharacteristic
321C2×#107C2311yescharacteristic
322C2×#106C2311yescharacteristic
323C2×#106C2311yescharacteristic
324C2×C4⋊C8C2311yescharacteristic
325C2×C4⋊C8C2311yescharacteristic
326C2×C4⋊C8C2311yescharacteristic
327#418—42no—
328C2×#103—42no—
329C2×#103C2311yescharacteristic
330C2×#103C2311yescharacteristic
331C2×#103C2311yescharacteristic
332C2×#103C2311yescharacteristic
333C2×#103C2311yescharacteristic
334C2×#103C2311yescharacteristic
335C2×#103C2311yescharacteristic
336C2×#103C2311yescharacteristic
337C2×#102—42no—
338C2×#102C2311yescharacteristic
339C2×#102C2311yescharacteristic
340C2×#102C2311yescharacteristic
341C2×#102C2311yescharacteristic
342C2×#102C2311yescharacteristic
343C2×#102C2311yescharacteristic
344C2×#102C2311yescharacteristic
345C2×#102C2311yescharacteristic
346C2×#102C2311yescharacteristic
347C2×#102C2311yescharacteristic
348C2×#102C2311yescharacteristic
349C2×#102C2311yescharacteristic
350C2×#102C2311yescharacteristic
351C2×#102C2311yescharacteristic
352C2×#102C2311yescharacteristic
353C2×#102C2311yescharacteristic
354C2×#102C2311yescharacteristic
355C2×#102C2311yescharacteristic
356C2×#102C2311yescharacteristic
357C2×#102C2311yescharacteristic
358C2×#102C2311yescharacteristic
359C2×#102C2311yescharacteristic
360C2×#102C2311yescharacteristic
361C2×#102C2311yescharacteristic
362C2×C22⋊C8—42no—
363C2×C22⋊C8C2311yescharacteristic
364C2×C22⋊C8C2311yescharacteristic
365C2×C22⋊C8C2311yescharacteristic
366C2×C22⋊C8C2311yescharacteristic
367C2×C22⋊C8C2311yescharacteristic
368C2×C22⋊C8C2311yescharacteristic
369C2×C22⋊C8C2311yescharacteristic
370C2×C22⋊C8C2311yescharacteristic
371C2×C22⋊C8C2311yescharacteristic
372C2×C22⋊C8C2311yescharacteristic
373C2×C22⋊C8C2311yescharacteristic
374C2×C22⋊C8C2311yescharacteristic
375C2×C22⋊C8C2311yescharacteristic
376C2×#97C2311yescharacteristic
377C2×C4×C8C2311yescharacteristic
378C2×C4×C8C2311yescharacteristic
379#400—21no—
380#400—21no—
381#398—21no—
382#397—21no—
383#397—21no—
384#397—21no—
385#397—21no—
386#397—21no—
387#396—21no—
388#396—21no—
389#396—21no—
390#396—21no—
391#395—21no—
392#395—21no—
393#394—21no—
394#394—21no—
395#394—21no—
396#394—21no—
397#394—21no—
398#394—21no—
399#394—21no—
400#393—21no—
401#393—21no—
402#392—21no—
403#392—21no—
404#392—21no—
405#392—21no—
406#392—21no—
407#392—21no—
408#392—21no—
409#392—21no—
410#392—21no—
411#391—21no—
412#391—21no—
413#391—21no—
414#391C2311yescharacteristic
415#391C2311yescharacteristic
416#391C2311yescharacteristic
417#391C2311yescharacteristic
418#390—21no—
419#390—21no—
420#390C2311yescharacteristic
421#390C2311yescharacteristic
422#390C2311yescharacteristic
423#390C2311yescharacteristic
424#389—21no—
425#389—21no—
426#389—21no—
427#389C2311yescharacteristic
428#389C2311yescharacteristic
429#389C2311yescharacteristic
430#389C2311yescharacteristic
431#388—21no—
432#388—21no—
433#388—21no—
434#388—21no—
435#388—21no—
436#388—21no—
437#388—21no—
438#388—21no—
439#388—21no—
440#387—21no—
441#387—21no—
442#387—21no—
443#387—21no—
444#387—21no—
445#386—21no—
446#386—21no—
447#386—21no—
448#386—21no—
449#386—21no—
450#386—21no—
451#386—21no—
452#386—21no—
453#386D411yescharacteristic
454#386D411yescharacteristic
455#386D411yescharacteristic
456#385—21no—
457#385—21no—
458#385—21no—
459#385—21no—
460#385D411yescharacteristic
461#385D411yescharacteristic
462#385D411yescharacteristic
463#384C2311yescharacteristic
464#382C2311yescharacteristic
465#381—21no—
466#380—21no—
467#380C2311yescharacteristic
468#380C2311yescharacteristic
469#380C2311yescharacteristic
470#380C2311yescharacteristic
471#380C2311yescharacteristic
472#380C2311yescharacteristic
473#379—21no—
474#379—21no—
475#379D411yescharacteristic
476C4×C4⋊C4—21no—
477C4×C4⋊C4C2311yescharacteristic
478C4×C4⋊C4C2311yescharacteristic
479C4×C22⋊C4—21no—
480C4×C22⋊C4—21no—
481C4×C22⋊C4—21no—
482C4×C22⋊C4—21no—
483C4×C22⋊C4C2311yescharacteristic
484C4×C22⋊C4C2311yescharacteristic
485C4×C22⋊C4C2311yescharacteristic
486#340C2311yescharacteristic
487#340C2311yescharacteristic
488#340C2311yescharacteristic
489#340C2311yescharacteristic
490#340C2311yescharacteristic
491#340C2311yescharacteristic
492#340C2311yescharacteristic
493#340C2311yescharacteristic
494#340C2311yescharacteristic
495#340C2311yescharacteristic
496#340C2311yescharacteristic
497#340C2311yescharacteristic
498#340C2311yescharacteristic
499#340C2311yescharacteristic
500#340C2311yescharacteristic
501#340C2311yescharacteristic
502#340C2311yescharacteristic
503#340C2311yescharacteristic
504#340C2311yescharacteristic
505#340C2311yescharacteristic
506#336C2311yescharacteristic
507#336C2311yescharacteristic
508#336C2311yescharacteristic
509#336C2311yescharacteristic
510#336C2311yescharacteristic
511#336C2311yescharacteristic
512C25—21no—
513C25—21no—
514C25—21no—
515C25C2×D411yescharacteristic
516C22×Q8—21no—
517C22×Q8—21no—
518C22×Q8—22no—
519C22×Q8—22no—
520C22×Q8—22no—
521C22×Q8—41no—
522C22×Q8—41no—
523C22×Q8—41no—
524C22×Q8C2411yescharacteristic
525C22×Q8C2411yescharacteristic
526C22×D4—21no—
527C22×D4—21no—
528C22×D4—22no—
529C22×D4—22no—
530C22×D4—22no—
531C22×D4—22no—
532C22×D4—21no—
533C22×D4—21no—
534C22×D4—21no—
535C22×D4—21no—
536C22×D4—21no—
537C22×D4—21no—
538C22×D4—21no—
539C22×D4—21no—
540C22×D4—21no—
541C22×D4—21no—
542C22×D4—21no—
543C22×D4—21no—
544C22×D4—21no—
545C22×D4—21no—
546C22×D4—21no—
547C22×D4—21no—
548C22×D4—21no—
549C22×D4—22no—
550C22×D4—22no—
551C22×D4—41no—
552C22×D4—41no—
553C22×D4—41no—
554C22×D4—41no—
555C22×D4—41no—
556C22×D4—41no—
557C22×D4—41no—
558C22×D4—41no—
559C22×D4—41no—
560C22×D4—41no—
561C22×D4—41no—
562C22×D4—41no—
563C22×D4—44no—
564C22×D4—44no—
565C22×D4—44no—
566C22×D4—44no—
567C22×D4—44no—
568C22×D4—44no—
569C22×D4—44no—
570C22×D4—44no—
571C22×D4—82no—
572C22×D4—82no—
573C22×D4—82no—
574C22×D4—82no—
575C22×D4C2×D411yescharacteristic
576C22×D4C2×D411yescharacteristic
577C22×D4C2×D411yescharacteristic
578C22×D4C2411yescharacteristic
579C22×D4C2411yescharacteristic
580C22×D4C2411yescharacteristic
581C22×D4C2411yescharacteristic
582C23×C4—22no—
583C23×C4—22no—
584C23×C4—21no—
585C23×C4—21no—
586C23×C4—21no—
587C23×C4—21no—
588C23×C4—21no—
589C23×C4—21no—
590C23×C4—41no—
591C23×C4—41no—
592C23×C4—41no—
593C23×C4—41no—
594C23×C4C2×D411yescharacteristic
595C23×C4C2×D411yescharacteristic
596C23×C4C2×D411yescharacteristic
597C23×C4C2411yescharacteristic
598C23×C4C2411yescharacteristic
599C23×C4C2411yescharacteristic
600C23×C4C2411yescharacteristic
601C2×SD16—22no—
602C2×SD16—22no—
603C2×SD16—22no—
604C2×SD16—22no—
605C2×SD16—22no—
606C2×SD16—22no—
607C2×SD16—22no—
608C2×SD16—22no—
609C2×SD16—41no—
610C2×SD16—41no—
611C2×SD16—41no—
612C2×SD16—41no—
613C2×SD16—41no—
614C2×SD16—41no—
615C2×SD16—41no—
616C2×SD16—41no—
617C2×SD16—41no—
618C2×SD16—41no—
619C2×SD16—41no—
620C2×SD16—41no—
621C2×SD16—41no—
622C2×SD16—41no—
623C2×SD16—41no—
624C2×SD16—41no—
625C2×SD16—416no—
626C2×M16—41no—
627C2×M16—41no—
628C2×M16—41no—
629C22×C8—22no—
630C22×C8—22no—
631C22×C8—41no—
632C22×C8—41no—
633C22×C8—41no—
634C22×C8—41no—
635C22×C8C2411yescharacteristic
636C22×C8C2411yescharacteristic
637C22×C8C2411yescharacteristic
638C22×C8C2411yescharacteristic
639C22×C8C2411yescharacteristic
640C22×C8C2411yescharacteristic
641C22×C8C2411yescharacteristic
642C22×C8C2411yescharacteristic
643C4⋊Q8—22no—
644C4⋊Q8—41no—
645#127—22no—
646#127—22no—
647#127—41no—
648#127—41no—
649#127—41no—
650#127—41no—
651#127—44no—
652#126—44no—
653#126—44no—
654#124—44no—
655C22⋊Q8—22no—
656C22⋊Q8—22no—
657C22⋊Q8—22no—
658C22⋊Q8—22no—
659C22⋊Q8—22no—
660C22⋊Q8—44no—
661C22⋊Q8—41no—
662C22⋊Q8—41no—
663C22⋊Q8—41no—
664C22⋊Q8—41no—
665C22⋊Q8—41no—
666C22⋊Q8—44no—
667C22⋊Q8—44no—
668C22⋊Q8—41no—
669C22⋊Q8—41no—
670#121—22no—
671#121—22no—
672#121—22no—
673#121—22no—
674#121—22no—
675#121—22no—
676#121—22no—
677#121—22no—
678#121—22no—
679#121—22no—
680#121—22no—
681#121—44no—
682#121—44no—
683#121—44no—
684#121—44no—
685#121—44no—
686#121—44no—
687#121—41no—
688#121—41no—
689#121—41no—
690#121—41no—
691#121—41no—
692#121—41no—
693#121—41no—
694#121—41no—
695#121—44no—
696#121—44no—
697#121—44no—
698#121—44no—
699#121#4114yes—
700#120—24no—
701#120—44no—
702#120—44no—
703#120—44no—
704#120—44no—
705#120—44no—
706#120—44no—
707#120—44no—
708#120—82no—
709#120—82no—
710C4×Q8—22no—
711C4×Q8—41no—
712C4×Q8—41no—
713C4×Q8—41no—
714C4×Q8—44no—
715C4×D4—22no—
716C4×D4—22no—
717C4×D4—22no—
718C4×D4—22no—
719C4×D4—41no—
720C4×D4—41no—
721C4×D4—41no—
722C4×D4—41no—
723C4×D4—41no—
724C4×D4—41no—
725C4×D4—44no—
726C4×D4—44no—
727#117—22no—
728#117—41no—
729#117—41no—
730#117—41no—
731#117—41no—
732#117—41no—
733C2×C4⋊C4—21no—
734C2×C4⋊C4—22no—
735C2×C4⋊C4—22no—
736C2×C4⋊C4—22no—
737C2×C4⋊C4—21no—
738C2×C4⋊C4—21no—
739C2×C4⋊C4—21no—
740C2×C4⋊C4—21no—
741C2×C4⋊C4—21no—
742C2×C4⋊C4—21no—
743C2×C4⋊C4—21no—
744C2×C4⋊C4—21no—
745C2×C4⋊C4—21no—
746C2×C4⋊C4—21no—
747C2×C4⋊C4—21no—
748C2×C4⋊C4—21no—
749C2×C4⋊C4—21no—
750C2×C4⋊C4—21no—
751C2×C4⋊C4—21no—
752C2×C4⋊C4—21no—
753C2×C4⋊C4—21no—
754C2×C4⋊C4—41no—
755C2×C4⋊C4—41no—
756C2×C4⋊C4—41no—
757C2×C4⋊C4—44no—
758C2×C4⋊C4C2×D411yescharacteristic
759C2×C4⋊C4C2×D411yescharacteristic
760C2×C4⋊C4C2×D411yescharacteristic
761C2×C4⋊C4C2411yescharacteristic
762C2×C4⋊C4C2411yescharacteristic
763C2×C4⋊C4C2411yescharacteristic
764C2×C4⋊C4C2411yescharacteristic
765C2×C4⋊C4C2411yescharacteristic
766C2×C4⋊C4C2411yescharacteristic
767C2×C4⋊C4C2411yescharacteristic
768C2×C4⋊C4C2411yescharacteristic
769C2×C4⋊C4C2411yescharacteristic
770C2×C4⋊C4C2411yescharacteristic
771C2×C22⋊C4—21no—
772C2×C22⋊C4—21no—
773C2×C22⋊C4—21no—
774C2×C22⋊C4—21no—
775C2×C22⋊C4—21no—
776C2×C22⋊C4—21no—
777C2×C22⋊C4—21no—
778C2×C22⋊C4—21no—
779C2×C22⋊C4—21no—
780C2×C22⋊C4—21no—
781C2×C22⋊C4—21no—
782C2×C22⋊C4—21no—
783C2×C22⋊C4—21no—
784C2×C22⋊C4—21no—
785C2×C22⋊C4—21no—
786C2×C22⋊C4—21no—
787C2×C22⋊C4—21no—
788C2×C22⋊C4—21no—
789C2×C22⋊C4—21no—
790C2×C22⋊C4—21no—
791C2×C22⋊C4—21no—
792C2×C22⋊C4—21no—
793C2×C22⋊C4—21no—
794C2×C22⋊C4—21no—
795C2×C22⋊C4—21no—
796C2×C22⋊C4—21no—
797C2×C22⋊C4—21no—
798C2×C22⋊C4—21no—
799C2×C22⋊C4—21no—
800C2×C22⋊C4—21no—
801C2×C22⋊C4—21no—
802C2×C22⋊C4—21no—
803C2×C22⋊C4—21no—
804C2×C22⋊C4—21no—
805C2×C22⋊C4—21no—
806C2×C22⋊C4—44no—
807C2×C22⋊C4—44no—
808C2×C22⋊C4—44no—
809C2×C22⋊C4C2×D411yescharacteristic
810C2×C22⋊C4C2×D411yescharacteristic
811C2×C22⋊C4C2×D411yescharacteristic
812C2×C22⋊C4C2×D411yescharacteristic
813C2×C22⋊C4C2×D411yescharacteristic
814C2×C22⋊C4C2×D411yescharacteristic
815C2×C22⋊C4C2×D411yescharacteristic
816C2×C22⋊C4C2×D411yescharacteristic
817C2×C22⋊C4C2×D411yescharacteristic
818C2×C22⋊C4C2×D411yescharacteristic
819C2×C22⋊C4C2×D411yescharacteristic
820C2×C22⋊C4C2×D411yescharacteristic
821C2×C42—21no—
822C2×C42—21no—
823C2×C42—21no—
824C2×C42—21no—
825C2×C42—21no—
826C2×C42—21no—
827C2×C42—21no—
828C2×C42C2411yescharacteristic
829C2×C42C2411yescharacteristic
830C2×C42C2411yescharacteristic
831#107—22no—
832#107—41no—
833#106—22no—
834#106—41no—
835C4⋊C8—41no—
836C4⋊C8—41no—
837C4⋊C8—41no—
838#103—22no—
839#103—22no—
840#103—22no—
841#103—22no—
842#103—41no—
843#103—41no—
844#103—41no—
845#103—41no—
846#102—22no—
847#102—22no—
848#102—22no—
849#102—22no—
850#102—22no—
851#102—22no—
852#102—41no—
853#102—41no—
854#102—41no—
855#102—41no—
856#102—41no—
857#102—41no—
858#102—41no—
859#102—41no—
860#102—41no—
861#102—41no—
862#102—41no—
863#102—41no—
864#102—41no—
865#102—41no—
866#102—41no—
867#102—41no—
868#102—41no—
869#102—41no—
870C22⋊C8—22no—
871C22⋊C8—22no—
872C22⋊C8—41no—
873C22⋊C8—41no—
874C22⋊C8—41no—
875C22⋊C8—41no—
876C22⋊C8—41no—
877C22⋊C8—41no—
878C22⋊C8—41no—
879C22⋊C8—41no—
880C22⋊C8—41no—
881C22⋊C8—41no—
882C22⋊C8—41no—
883#97—41no—
884C4×C8—41no—
885C4×C8—41no—
886#95—21no—
887#95—21no—
888#95—21no—
889#95—21no—
890#95—21no—
891#95—21no—
892#95—21no—
893#95—21no—
894#95—21no—
895#95—21no—
896#95—21no—
897#95—21no—
898#95—21no—
899#95—21no—
900#95—21no—
901#95—21no—
902#95—21no—
903#95—21no—
904#95—21no—
905#95—21no—
906#95—21no—
907#95—21no—
908#95C2×D411yescharacteristic
909#95C2×D411yescharacteristic
910#95C2×D411yescharacteristic
911#95C2×D411yescharacteristic
912#95C2×D411yescharacteristic
913#95C2×D411yescharacteristic
914C24—22no—
915C24—21no—
916C24—21no—
917C24—22no—
918C24—22no—
919C24—22no—
920C24—21no—
921C24—21no—
922C24—41no—
923C24—41no—
924C24—41no—
925C24—42no—
926C24—42no—
927C24—42no—
928C24—42no—
929C24—42no—
930C24—42no—
931C24—42no—
932C24—42no—
933C24—42no—
934C24—42no—
935C24—42no—
936C24—81no—
937C24—81no—
938C24—81no—
939C24—81no—
940C24—81no—
941C24—81no—
942C24—81no—
943C24—81no—
944C24—81no—
945C24—81no—
946C24C22×D411yescharacteristic
947C24C22×D411yescharacteristic
948C24C22×D411yescharacteristic
949C24C22×D411yescharacteristic
950C2×Q8—21no—
951C2×Q8—21no—
952C2×Q8—21no—
953C2×Q8—21no—
954C2×Q8—21no—
955C2×Q8—21no—
956C2×Q8—21no—
957C2×Q8—21no—
958C2×Q8—21no—
959C2×Q8—21no—
960C2×Q8—21no—
961C2×Q8—42no—
962C2×Q8—42no—
963C2×Q8—44no—
964C2×Q8—44no—
965C2×Q8—42no—
966C2×Q8—42no—
967C2×Q8—81no—
968C2×Q8—81no—
969C2×Q8—82no—
970C2×Q8—82no—
971C2×Q8H(5,𝔽2)12yes—
972C2×D4—24no—
973C2×D4—22no—
974C2×D4—24no—
975C2×D4—22no—
976C2×D4—22no—
977C2×D4—22no—
978C2×D4—22no—
979C2×D4—22no—
980C2×D4—21no—
981C2×D4—21no—
982C2×D4—21no—
983C2×D4—21no—
984C2×D4—21no—
985C2×D4—21no—
986C2×D4—21no—
987C2×D4—21no—
988C2×D4—21no—
989C2×D4—21no—
990C2×D4—21no—
991C2×D4—21no—
992C2×D4—21no—
993C2×D4—21no—
994C2×D4—21no—
995C2×D4—21no—
996C2×D4—21no—
997C2×D4—21no—
998C2×D4—21no—
999C2×D4—21no—
1000C2×D4—21no—
1001C2×D4—21no—
1002C2×D4—44no—
1003C2×D4—44no—
1004C2×D4—41no—
1005C2×D4—41no—
1006C2×D4—41no—
1007C2×D4—42no—
1008C2×D4—42no—
1009C2×D4—42no—
1010C2×D4—42no—
1011C2×D4—42no—
1012C2×D4—42no—
1013C2×D4—42no—
1014C2×D4—42no—
1015C2×D4—42no—
1016C2×D4—42no—
1017C2×D4—42no—
1018C2×D4—42no—
1019C2×D4—42no—
1020C2×D4—42no—
1021C2×D4—44no—
1022C2×D4—42no—
1023C2×D4—42no—
1024C2×D4—42no—
1025C2×D4—42no—
1026C2×D4—42no—
1027C2×D4—42no—
1028C2×D4—42no—
1029C2×D4—42no—
1030C2×D4—42no—
1031C2×D4—42no—
1032C2×D4—42no—
1033C2×D4—42no—
1034C2×D4—42no—
1035C2×D4—42no—
1036C2×D4—42no—
1037C2×D4—42no—
1038C2×D4—42no—
1039C2×D4—42no—
1040C2×D4—42no—
1041C2×D4—42no—
1042C2×D4—42no—
1043C2×D4—82no—
1044C2×D4—82no—
1045C2×D4—81no—
1046C2×D4—81no—
1047C2×D4—81no—
1048C2×D4—81no—
1049C2×D4—81no—
1050C2×D4—81no—
1051C2×D4—81no—
1052C2×D4—81no—
1053C2×D4—81no—
1054C2×D4—81no—
1055C2×D4—81no—
1056C2×D4—81no—
1057C2×D4—81no—
1058C2×D4—81no—
1059C2×D4—82no—
1060C2×D4—82no—
1061C2×D4—82no—
1062C2×D4—82no—
1063C2×D4—82no—
1064C2×D4—82no—
1065C2×D4—82no—
1066C2×D4—81no—
1067C2×D4—81no—
1068C2×D4—81no—
1069C2×D4—81no—
1070C2×D4—81no—
1071C2×D4—81no—
1072C2×D4—816no—
1073C2×D4—816no—
1074C2×D4—816no—
1075C2×D4—816no—
1076C2×D4C2×#4112yes—
1077C2×D4H(5,𝔽2)12yes—
1078C22×C4—21no—
1079C22×C4—21no—
1080C22×C4—21no—
1081C22×C4—21no—
1082C22×C4—21no—
1083C22×C4—21no—
1084C22×C4—21no—
1085C22×C4—21no—
1086C22×C4—22no—
1087C22×C4—21no—
1088C22×C4—21no—
1089C22×C4—21no—
1090C22×C4—21no—
1091C22×C4—21no—
1092C22×C4—21no—
1093C22×C4—21no—
1094C22×C4—21no—
1095C22×C4—21no—
1096C22×C4—21no—
1097C22×C4—21no—
1098C22×C4—21no—
1099C22×C4—21no—
1100C22×C4—21no—
1101C22×C4—21no—
1102C22×C4—21no—
1103C22×C4—21no—
1104C22×C4—21no—
1105C22×C4—22no—
1106C22×C4—22no—
1107C22×C4—21no—
1108C22×C4—21no—
1109C22×C4—21no—
1110C22×C4—21no—
1111C22×C4—21no—
1112C22×C4—21no—
1113C22×C4—21no—
1114C22×C4—21no—
1115C22×C4—41no—
1116C22×C4—41no—
1117C22×C4—41no—
1118C22×C4—41no—
1119C22×C4—41no—
1120C22×C4—41no—
1121C22×C4—42no—
1122C22×C4—42no—
1123C22×C4—42no—
1124C22×C4—42no—
1125C22×C4—42no—
1126C22×C4—42no—
1127C22×C4—42no—
1128C22×C4—42no—
1129C22×C4—42no—
1130C22×C4—42no—
1131C22×C4—42no—
1132C22×C4—42no—
1133C22×C4—82no—
1134C22×C4—82no—
1135C22×C4—82no—
1136C22×C4—82no—
1137C22×C4—81no—
1138C22×C4—81no—
1139C22×C4—81no—
1140C22×C4—81no—
1141C22×C4—81no—
1142C22×C4—81no—
1143C22×C4C22×D411yescharacteristic
1144C22×C4C22×D411yescharacteristic
1145C22×C4C22×D411yescharacteristic
1146C22×C4C22×D411yescharacteristic
1147C22×C4C22×D411yescharacteristic
1148C22×C4C22×D411yescharacteristic
1149C22×C4C22×D411yescharacteristic
1150C22×C4C22×D411yescharacteristic
1151C22×C4C22×D411yescharacteristic
1152C22×C4C22×D411yescharacteristic
1153C22×C4C2×#4112yes—
1154C22×C4H(5,𝔽2)12yes—
1155C22×C4C2511yescharacteristic
1156SD16—44no—
1157SD16—44no—
1158SD16—44no—
1159SD16—44no—
1160SD16—44no—
1161SD16—82no—
1162SD16—82no—
1163SD16—82no—
1164M16—82no—
1165C2×C8—21no—
1166C2×C8—21no—
1167C2×C8—21no—
1168C2×C8—21no—
1169C2×C8—21no—
1170C2×C8—21no—
1171C2×C8—21no—
1172C2×C8—21no—
1173C2×C8—21no—
1174C2×C8—21no—
1175C2×C8—21no—
1176C2×C8—21no—
1177C2×C8—21no—
1178C2×C8—21no—
1179C2×C8—21no—
1180C2×C8—21no—
1181C2×C8—21no—
1182C2×C8—21no—
1183C2×C8—21no—
1184C2×C8—21no—
1185C2×C8—21no—
1186C2×C8—21no—
1187C2×C8—21no—
1188C2×C8—21no—
1189C2×C8—44no—
1190C2×C8—82no—
1191C4⋊C4—24no—
1192C4⋊C4—22no—
1193C4⋊C4—21no—
1194C4⋊C4—21no—
1195C4⋊C4—21no—
1196C4⋊C4—21no—
1197C4⋊C4—21no—
1198C4⋊C4—21no—
1199C4⋊C4—21no—
1200C4⋊C4—21no—
1201C4⋊C4—21no—
1202C4⋊C4—21no—
1203C4⋊C4—21no—
1204C4⋊C4—21no—
1205C4⋊C4—21no—
1206C4⋊C4—21no—
1207C4⋊C4—21no—
1208C4⋊C4—21no—
1209C4⋊C4—21no—
1210C4⋊C4—41no—
1211C4⋊C4—41no—
1212C4⋊C4—42no—
1213C4⋊C4—42no—
1214C4⋊C4—42no—
1215C4⋊C4—42no—
1216C4⋊C4—42no—
1217C4⋊C4—42no—
1218C4⋊C4—42no—
1219C4⋊C4—42no—
1220C4⋊C4—42no—
1221C4⋊C4—42no—
1222C4⋊C4—42no—
1223C4⋊C4—42no—
1224C4⋊C4—42no—
1225C4⋊C4—42no—
1226C4⋊C4—81no—
1227C4⋊C4—81no—
1228C4⋊C4—81no—
1229C4⋊C4C2×#4112yes—
1230C4⋊C4H(5,𝔽2)12yes—
1231C4⋊C4H(5,𝔽2)12yes—
1232C22⋊C4—24no—
1233C22⋊C4—24no—
1234C22⋊C4—22no—
1235C22⋊C4—22no—
1236C22⋊C4—22no—
1237C22⋊C4—24no—
1238C22⋊C4—22no—
1239C22⋊C4—22no—
1240C22⋊C4—22no—
1241C22⋊C4—41no—
1242C22⋊C4—41no—
1243C22⋊C4—41no—
1244C22⋊C4—41no—
1245C22⋊C4—41no—
1246C22⋊C4—42no—
1247C22⋊C4—42no—
1248C22⋊C4—42no—
1249C22⋊C4—42no—
1250C22⋊C4—42no—
1251C22⋊C4—42no—
1252C22⋊C4—42no—
1253C22⋊C4—42no—
1254C22⋊C4—42no—
1255C22⋊C4—42no—
1256C22⋊C4—42no—
1257C22⋊C4—42no—
1258C22⋊C4—42no—
1259C22⋊C4—42no—
1260C22⋊C4—42no—
1261C22⋊C4—42no—
1262C22⋊C4—42no—
1263C22⋊C4—42no—
1264C22⋊C4—42no—
1265C22⋊C4—42no—
1266C22⋊C4—42no—
1267C22⋊C4—42no—
1268C22⋊C4—42no—
1269C22⋊C4—42no—
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⋊C4AGL(1,ℤ/8)14yes—
1279C42—21no—
1280C42—21no—
1281C42—21no—
1282C42—21no—
1283C42—21no—
1284C42—21no—
1285C42—42no—
1286C42—42no—
1287C42—42no—
1288C42—42no—
1289C42—81no—
1290C42—81no—
1291C42—81no—
1292C23—21no—
1293C23—21no—
1294C23—21no—
1295C23—21no—
1296C23—21no—
1297C23—21no—
1298C23—21no—
1299C23—21no—
1300C23—21no—
1301C23—21no—
1302C23—21no—
1303C23—21no—
1304C23—22no—
1305C23—21no—
1306C23—21no—
1307C23—21no—
1308C23—22no—
1309C23—21no—
1310C23—21no—
1311C23—21no—
1312C23—21no—
1313C23—21no—
1314C23—21no—
1315C23—21no—
1316C23—21no—
1317C23—21no—
1318C23—44no—
1319C23—44no—
1320C23—44no—
1321C23—41no—
1322C23—41no—
1323C23—41no—
1324C23—41no—
1325C23—41no—
1326C23—41no—
1327C23—41no—
1328C23—41no—
1329C23—44no—
1330C23—41no—
1331C23—41no—
1332C23—41no—
1333C23—41no—
1334C23—41no—
1335C23—41no—
1336C23—41no—
1337C23—41no—
1338C23—41no—
1339C23—41no—
1340C23—41no—
1341C23—41no—
1342C23—41no—
1343C23—41no—
1344C23—41no—
1345C23—41no—
1346C23—41no—
1347C23—41no—
1348C23—82no—
1349C23—82no—
1350C23—82no—
1351C23—84no—
1352C23—84no—
1353C23—84no—
1354C23—84no—
1355C23—84no—
1356C23—84no—
1357C23—84no—
1358C23—84no—
1359C23—84no—
1360C23—84no—
1361C23—84no—
1362C23—162no—
1363C23—162no—
1364C23—162no—
1365C23—162no—
1366C23—162no—
1367C23—162no—
1368C23—162no—
1369C23—162no—
1370C23—162no—
1371C23—162no—
1372C23#54612yes—
1373C23C2×AGL(1,ℤ/8)12yes—
1374C23#57712yes—
1375C23#57712yes—
1376C23C23×D411yescharacteristic
1377Q8—22no—
1378Q8—22no—
1379Q8—41no—
1380Q8—41no—
1381Q8—41no—
1382Q8—41no—
1383Q8—41no—
1384Q8—41no—
1385Q8—84no—
1386Q8—84no—
1387D4—22no—
1388D4—22no—
1389D4—22no—
1390D4—22no—
1391D4—44no—
1392D4—48no—
1393D4—44no—
1394D4—48no—
1395D4—41no—
1396D4—41no—
1397D4—41no—
1398D4—41no—
1399D4—41no—
1400D4—41no—
1401D4—41no—
1402D4—41no—
1403D4—41no—
1404D4—41no—
1405D4—41no—
1406D4—41no—
1407D4—82no—
1408D4—84no—
1409D4—84no—
1410D4—84no—
1411D4—84no—
1412D4—84no—
1413D4—84no—
1414D4—84no—
1415D4—84no—
1416D4—84no—
1417D4—84no—
1418D4—84no—
1419D4—84no—
1420D4—84no—
1421D4—162no—
1422D4—162no—
1423D4—162no—
1424D4—162no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—22no—
1432C2×C4—22no—
1433C2×C4—22no—
1434C2×C4—22no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—22no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—22no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—41no—
1461C2×C4—41no—
1462C2×C4—41no—
1463C2×C4—41no—
1464C2×C4—41no—
1465C2×C4—41no—
1466C2×C4—41no—
1467C2×C4—41no—
1468C2×C4—41no—
1469C2×C4—41no—
1470C2×C4—41no—
1471C2×C4—41no—
1472C2×C4—41no—
1473C2×C4—41no—
1474C2×C4—41no—
1475C2×C4—41no—
1476C2×C4—41no—
1477C2×C4—41no—
1478C2×C4—41no—
1479C2×C4—41no—
1480C2×C4—41no—
1481C2×C4—41no—
1482C2×C4—41no—
1483C2×C4—41no—
1484C2×C4—41no—
1485C2×C4—41no—
1486C2×C4—41no—
1487C2×C4—41no—
1488C2×C4—41no—
1489C2×C4—41no—
1490C2×C4—41no—
1491C2×C4—41no—
1492C2×C4—41no—
1493C2×C4—41no—
1494C2×C4—41no—
1495C2×C4—41no—
1496C2×C4—41no—
1497C2×C4—41no—
1498C2×C4—41no—
1499C2×C4—41no—
1500C2×C4—41no—
1501C2×C4—41no—
1502C2×C4—41no—
1503C2×C4—41no—
1504C2×C4—82no—
1505C2×C4—82no—
1506C2×C4—84no—
1507C2×C4—82no—
1508C2×C4—84no—
1509C2×C4—84no—
1510C2×C4—84no—
1511C2×C4—84no—
1512C2×C4—84no—
1513C2×C4#54612yes—
1514C2×C4C2×AGL(1,ℤ/8)12yes—
1515C2×C4C2×AGL(1,ℤ/8)12yes—
1516C2×C4C22×#4111yescharacteristic
1517C2×C4C2×H(5,𝔽2)11yescharacteristic
1518C2×C4C2×H(5,𝔽2)11yescharacteristic
1519C2×C4C2×H(5,𝔽2)11yescharacteristic
1520C2×C4C2×H(5,𝔽2)11yescharacteristic
1521C2×C4C2×H(5,𝔽2)11yescharacteristic
1522C8—41no—
1523C8—41no—
1524C8—41no—
1525C8—41no—
1526C8—41no—
1527C8—41no—
1528C8—41no—
1529C8—41no—
1530C22—22no—
1531C22—22no—
1532C22—22no—
1533C22—22no—
1534C22—22no—
1535C22—22no—
1536C22—22no—
1537C22—22no—
1538C22—22no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—42no—
1546C22—42no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—42no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—42no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—42no—
1559C22—41no—
1560C22—42no—
1561C22—41no—
1562C22—41no—
1563C22—88no—
1564C22—81no—
1565C22—81no—
1566C22—81no—
1567C22—81no—
1568C22—81no—
1569C22—81no—
1570C22—81no—
1571C22—81no—
1572C22—81no—
1573C22—81no—
1574C22—81no—
1575C22—81no—
1576C22—81no—
1577C22—81no—
1578C22—81no—
1579C22—81no—
1580C22—81no—
1581C22—81no—
1582C22—81no—
1583C22—81no—
1584C22—81no—
1585C22—81no—
1586C22—168no—
1587C22—168no—
1588C22—168no—
1589C22#332414yes—
1590C22C2×#54611yescharacteristic
1591C22#348411yescharacteristic
1592C22#348411yescharacteristic
1593C22C22×AGL(1,ℤ/8)11yescharacteristic
1594C22C2×#57711yescharacteristic
1595C22C2×#57711yescharacteristic
1596C22#358411yescharacteristic
1597C4—22no—
1598C4—22no—
1599C4—22no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—42no—
1604C4—42no—
1605C4—42no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—42no—
1610C4—41no—
1611C4—81no—
1612C4—81no—
1613C4—81no—
1614C4—81no—
1615C4—81no—
1616C4—81no—
1617C4—81no—
1618C4—81no—
1619C4#351911yescharacteristic
1620C4#351911yescharacteristic
1621C4#353211yescharacteristic
1622C4#354311yescharacteristic
1623C2—24no—
1624C2—42no—
1625C2—81no—
1626C2—81no—
1627C2—82no—
1628C2—82no—
1629C2—161no—
1630C2—161no—
1631C2#4309511yescharacteristic
1632C2C2×#332411yescharacteristic
1633C2#6117211yescharacteristic
1634C2#6159811yescharacteristic
1635C2#6160011yescharacteristic
1636C2#6163311yescharacteristic
1637C2#6164011yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#58997C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C4×#120 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59025C2semidirect
3. #31854C2semidirect
4. #31839C2semidirect
5. #31726C2semidirect
6. #31400C2semidirect
7. #31028C2semidirect
8. #31004C2semidirect
9. #30730C2semidirect
10. #30527C2semidirect
11. #27254C2semidirect
12. #26950C2semidirect
13. #26739C2semidirect
14. #26659C2semidirect
15. #26630C2semidirect
16. #26408C2semidirect
17. #26212C2semidirect
18. #25574C2semidirect
19. #25130C2semidirect
20. #24448C2semidirect
21. #24356C2semidirect
22. #24240C2semidirect
23. #24009C2semidirect
24. #23979C2semidirect
25. #23919C2semidirect
26. #23849C2semidirect
27. C2×#2000C2semidirect
28. #22875C2semidirect
29. #22423C2semidirect
30. #22032C2semidirect
31. #21761C2semidirect
32. C23×SD16C22semidirect
33. C2×#556C22semidirect
37. C22×C22⋊Q8C22semidirect
40. C2×#486C22semidirect
41. C2×#482C22semidirect
42. C2×#482C22semidirect
43. C2×#468C22semidirect
44. C2×#460C22semidirect
45. C2×#460C22semidirect
47. C2×#448C22semidirect
48. C2×#450C22semidirect
49. C2×#450C22semidirect
50. C2×#450C22semidirect
51. C2×#450C22semidirect
52. C2×C4×SD16C22semidirect
53. C2×#435C22semidirect
54. C2×#418C22semidirect
55. C22×#103C22semidirect
56. C22×#102C22semidirect
57. C22×C22⋊C8C22semidirect
64. #2538C22semidirect
65. #2499C22semidirect
66. #2492C22semidirect
71. #2440C22semidirect
78. #2421C22semidirect
81. #2415C22semidirect
82. #2415C22semidirect
85. #2409C22semidirect
88. #2362C22semidirect
92. #2352C22semidirect
93. Q8×C22⋊C4C22semidirect
95. #2280C22semidirect
96. #2101C22semidirect
97. #2099C22semidirect
98. #2086C22semidirect
99. #2077C22semidirect
100. #2073C22semidirect
101. #2071C22semidirect
102. #2068C22semidirect
103. #2067C22semidirect
104. #2055C22semidirect
105. #2055C22semidirect
106. #2055C22semidirect
107. #2041C22semidirect
108. #2041C22semidirect
109. #2036C22semidirect
111. #2034C22semidirect
112. #2034C22semidirect
114. #2033C22semidirect
115. #2023C22semidirect
116. #2023C22semidirect
117. #2014C22semidirect
118. #2014C22semidirect
119. #2014C22semidirect
120. #2014C22semidirect
123. #2000C22semidirect
124. #2000C22semidirect
125. #2000C22semidirect
126. #2000C22semidirect
127. #2000C22semidirect
128. #2000C22semidirect
129. #2000C22semidirect
130. #2000C22semidirect
131. #2000C22semidirect
132. #2000C22semidirect
133. #2000C22semidirect
134. #2000C22semidirect
135. #2000C22semidirect
136. #1988C22semidirect
137. #1982C22semidirect
138. #1973C22semidirect
139. #1968C22semidirect
140. #1961C22semidirect
141. #1957C22semidirect
142. #1954C22semidirect
143. #1954C22semidirect
144. #1935C22semidirect
145. #1934C22semidirect
146. #1934C22semidirect
147. #1933C22semidirect
148. #1927C22semidirect
149. #1926C22semidirect
150. #1924C22semidirect
151. #1924C22semidirect
152. #1923C22semidirect
153. #1923C22semidirect
154. #1920C22semidirect
155. #1918C22semidirect
156. #1895C22semidirect
157. #1894C22semidirect
160. #1893C22semidirect
161. #1893C22semidirect
162. #1880C22semidirect
163. #1880C22semidirect
164. #1880C22semidirect
165. #1877C22semidirect
166. #1877C22semidirect
167. #1877C22semidirect
168. #1875C22semidirect
169. #1875C22semidirect
170. #1875C22semidirect
171. #1875C22semidirect
172. #1875C22semidirect
173. #1875C22semidirect
174. #1875C22semidirect
175. #1875C22semidirect
177. #1874C22semidirect
178. #1872C22semidirect
179. #1872C22semidirect
180. #1870C22semidirect
181. #1870C22semidirect
182. #1869C22semidirect
183. #1865C22semidirect
184. #1862C22semidirect
185. #1853C22semidirect
186. #1852C22semidirect
187. #1850C22semidirect
188. #1825C22semidirect
189. #1824C22semidirect
190. #1824C22semidirect
191. #1804C22semidirect
192. #1802C22semidirect
193. #1786C22semidirect
194. #1786C22semidirect
195. #1786C22semidirect
196. #1786C22semidirect
197. #1786C22semidirect
198. #1779C22semidirect
199. #1762C22semidirect
200. C4×#103C22semidirect
201. C8×C22⋊C4C22semidirect
202. C2×#340C22semidirect

Maximal subgroups

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

subgroupindex
#590252
#589972
#318542
#318392
#317262
#314002
#310282
#310042
#307302
#305272
#272542
#269502
#267392
#266592
#266302
#264082
#262122
#255742
#251302
#244482
#243562
#242402
#240092
#239792
#239192
#238492
C2×#20002
#228752
#224232
#220322
#217612