Finite Group Databasebeta

← #6408135

Subgroups — #6408135

Order 512.

2425 conjugacy classes of subgroups.

The subgroup lattice has 1728 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#34738C211yesmaximal, characteristic
2#23309C211yesmaximal, characteristic, complemented
3#23308C211yesmaximal, characteristic, complemented
4#23307C211yesmaximal, characteristic, complemented
5#23307C211yesmaximal, characteristic, complemented
6#22851C211yesmaximal, characteristic, complemented
7#22849C211yesmaximal, characteristic, complemented
8#22847C211yesmaximal, characteristic, complemented
9#22845C211yesmaximal, characteristic, complemented
10#22557C211yesmaximal, characteristic, complemented
11#22556C211yesmaximal, characteristic, complemented
12#22554C211yesmaximal, characteristic, complemented
13#22553C211yesmaximal, characteristic, complemented
14#22403C211yesmaximal, characteristic, complemented
15#22403C211yesmaximal, characteristic, complemented
16#22400C211yesmaximal, characteristic, complemented
17#22398C211yesmaximal, characteristic, complemented
18#22039C211yesmaximal, characteristic, complemented
19#22037C211yesmaximal, characteristic, complemented
20#22036C211yesmaximal, characteristic, complemented
21#22036C211yesmaximal, characteristic, complemented
22#22035C211yesmaximal, characteristic, complemented
23#22034C211yesmaximal, characteristic, complemented
24#22032C211yesmaximal, characteristic, complemented
25#22031C211yesmaximal, characteristic, complemented
26#21909C211yesmaximal, characteristic, complemented
27#21907C211yesmaximal, characteristic, complemented
28#21789C211yesmaximal, characteristic, complemented
29#21745C211yesmaximal, characteristic, complemented
30#20581C211yesmaximal, characteristic, complemented
31#20581C211yesmaximal, characteristic, complemented
32C23×#41C2211yescharacteristic
33C2×#532C2211yescharacteristic
34C2×#532C2211yescharacteristic
35C2×#525C2211yescharacteristic
36C2×#436C2211yescharacteristic, complemented
37C2×#435C2211yescharacteristic, complemented
38C2×#435C2211yescharacteristic, complemented
39C2×#435C2211yescharacteristic, complemented
40C2×#435C2211yescharacteristic, complemented
41C2×#435C2211yescharacteristic, complemented
42C2×#435C2211yescharacteristic, complemented
43C2×C8×D4C2211yescharacteristic, complemented
44C2×#432C2211yescharacteristic, complemented
45C2×#431C2211yescharacteristic, complemented
46C2×#408C2211yescharacteristic
47C2×#408C2211yescharacteristic
48C2×#408C2211yescharacteristic
49C2×#408C2211yescharacteristic
50C2×#408C2211yescharacteristic
51C2×#408C2211yescharacteristic
52C2×#408C2211yescharacteristic
53C2×#408C2211yescharacteristic
54C2×#408C2211yescharacteristic, complemented
55C2×#408C2211yescharacteristic, complemented
56C2×#407C2211yescharacteristic
57C2×#407C2211yescharacteristic
58C22×C22⋊C8C2211yescharacteristic
59C22×C22⋊C8C2211yescharacteristic
60#2436C411yescharacteristic
61#2435C411yescharacteristic
62#2434C411yescharacteristic
63#2433C411yescharacteristic
64#2432C411yescharacteristic
65#2432C411yescharacteristic
66#2431C411yescharacteristic
67#2431C411yescharacteristic
68#2430C411yescharacteristic
69#2430C411yescharacteristic
70#2430C411yescharacteristic
71#2430C411yescharacteristic
72#2410C411yescharacteristic
73#2410C411yescharacteristic
74#2410C411yescharacteristic
75#2410C411yescharacteristic
76#2388C2211yescharacteristic
77#2388C2211yescharacteristic
78#2388C2211yescharacteristic
79#2388C2211yescharacteristic
80C4×#120C2211yescharacteristic
81C4×#120C2211yescharacteristic
82C4×#120C2211yescharacteristic
83C4×#120C2211yescharacteristic
84#2297C2211yescharacteristic
85#2297C2211yescharacteristic
86C2×C4×C22⋊C4C2211yescharacteristic
87#1955C2211yescharacteristic
88#1955C2211yescharacteristic
89#1955C2211yescharacteristic, complemented
90#1955C2211yescharacteristic, complemented
91#1955C2211yescharacteristic, complemented
92#1955C2211yescharacteristic, complemented
93#1955C2211yescharacteristic, complemented
94#1955C2211yescharacteristic, complemented
95#1955C2211yescharacteristic, complemented
96#1955C2211yescharacteristic, complemented
97#1954C2211yescharacteristic
98#1954C2211yescharacteristic
99#1954C2211yescharacteristic, complemented
100#1954C2211yescharacteristic, complemented
101#1954C2211yescharacteristic, complemented
102#1954C2211yescharacteristic, complemented
103#1924C2211yescharacteristic
104#1924C2211yescharacteristic
105#1924C2211yescharacteristic
106#1924C2211yescharacteristic
107#1924C2211yescharacteristic
108#1924C2211yescharacteristic
109#1924C2211yescharacteristic, complemented
110#1924C2211yescharacteristic, complemented
111#1924C2211yescharacteristic, complemented
112#1924C2211yescharacteristic, complemented
113#1924C2211yescharacteristic, complemented
114#1924C2211yescharacteristic, complemented
115#1924C2211yescharacteristic, complemented
116#1924C2211yescharacteristic, complemented
117#1924C2211yescharacteristic, complemented
118#1924C2211yescharacteristic, complemented
119#1924C2211yescharacteristic, complemented
120#1924C2211yescharacteristic, complemented
121#1924C2211yescharacteristic, complemented
122#1924C2211yescharacteristic, complemented
123#1924C2211yescharacteristic, complemented
124#1924C2211yescharacteristic, complemented
125#1923C2211yescharacteristic
126#1923C2211yescharacteristic
127#1923C2211yescharacteristic, complemented
128#1923C2211yescharacteristic, complemented
129#1923C2211yescharacteristic, complemented
130#1923C2211yescharacteristic, complemented
131#1923C2211yescharacteristic, complemented
132#1923C2211yescharacteristic, complemented
133#1923C2211yescharacteristic, complemented
134#1923C2211yescharacteristic, complemented
135#1870C2211yescharacteristic
136#1870C2211yescharacteristic
137#1870C2211yescharacteristic, complemented
138#1870C2211yescharacteristic, complemented
139#1870C2211yescharacteristic, complemented
140#1870C2211yescharacteristic, complemented
141#1870C2211yescharacteristic, complemented
142#1870C2211yescharacteristic, complemented
143#1870C2211yescharacteristic, complemented
144#1870C2211yescharacteristic, complemented
145#1870C2211yescharacteristic, complemented
146#1870C2211yescharacteristic, complemented
147#1869C2211yescharacteristic
148#1869C2211yescharacteristic
149#1869C2211yescharacteristic, complemented
150#1869C2211yescharacteristic, complemented
151#1869C2211yescharacteristic, complemented
152#1869C2211yescharacteristic, complemented
153#1869C2211yescharacteristic, complemented
154#1869C2211yescharacteristic, complemented
155#1869C2211yescharacteristic, complemented
156#1869C2211yescharacteristic, complemented
157#1869C2211yescharacteristic, complemented
158#1869C2211yescharacteristic, complemented
159#1851C2211yescharacteristic, complemented
160#1851C2211yescharacteristic, complemented
161#1851C2211yescharacteristic, complemented
162#1851C2211yescharacteristic, complemented
163#1850C2211yescharacteristic, complemented
164#1850C2211yescharacteristic, complemented
165#1850C2211yescharacteristic, complemented
166#1850C2211yescharacteristic, complemented
167#1817C2211yescharacteristic, complemented
168#1817C2211yescharacteristic, complemented
169#1798C2211yescharacteristic, complemented
170#1798C2211yescharacteristic, complemented
171#1797C2211yescharacteristic, complemented
172#1797C2211yescharacteristic, complemented
173#1780C2211yescharacteristic
174#1780C2211yescharacteristic
175#1780C2211yescharacteristic
176#1780C2211yescharacteristic
177#1780C2211yescharacteristic
178#1780C2211yescharacteristic
179#1780C2211yescharacteristic
180#1780C2211yescharacteristic
181#1780C2211yescharacteristic, complemented
182#1780C2211yescharacteristic, complemented
183#1779C2211yescharacteristic
184#1779C2211yescharacteristic
185#1779C2211yescharacteristic
186#1779C2211yescharacteristic
187#1779C2211yescharacteristic
188#1779C2211yescharacteristic
189#1779C2211yescharacteristic
190#1779C2211yescharacteristic
191#1753C2211yescharacteristic, complemented
192#1753C2211yescharacteristic, complemented
193#1753C2211yescharacteristic, complemented
194#1753C2211yescharacteristic, complemented
195#1752C2211yescharacteristic, complemented
196#1752C2211yescharacteristic, complemented
197#1752C2211yescharacteristic, complemented
198C8×C22⋊C4C2211yescharacteristic, complemented
199#1750C2211yescharacteristic, complemented
200#1750C2211yescharacteristic, complemented
201#1749C2211yescharacteristic, complemented
202#1749C2211yescharacteristic, complemented
203C22×#41—42no—
204C22×#41—42no—
205C22×#41—42no—
206C22×#41—42no—
207C22×#41—42no—
208C22×#41—42no—
209C22×#41C2×C411yescharacteristic
210C22×#41C2×C411yescharacteristic
211C22×#41C2×C411yescharacteristic
212C22×#41C2×C411yescharacteristic
213C22×#41C2311yescharacteristic
214C22×#41C2311yescharacteristic
215C22×#41C2311yescharacteristic
216C22×#41C2311yescharacteristic
217C22×#41C2311yescharacteristic
218C23×Q8C2×C411yescharacteristic
219C23×D4C2×C411yescharacteristic
220C23×D4C2×C411yescharacteristic
221C23×D4C2×C411yescharacteristic
222C24×C4C2311yescharacteristic
223C24×C4C2311yescharacteristic
224C24×C4C2311yescharacteristic
225C22×M16C2311yescharacteristic
226C22×M16C2311yescharacteristic
227C22×M16C2311yescharacteristic
228C22×M16C2311yescharacteristic
229C22×M16C2311yescharacteristic
230C22×M16C2311yescharacteristic
231C23×C8C2311yescharacteristic
232C23×C8C2311yescharacteristic
233C23×C8C2311yescharacteristic
234C23×C8C2311yescharacteristic
235C23×C8C2311yescharacteristic
236C23×C8C2311yescharacteristic
237#532—42no—
238#532—42no—
239#532—42no—
240#532—42no—
241C2×C4⋊Q8C2×C411yescharacteristic
242C2×C4⋊Q8C2×C411yescharacteristic
243C2×#127C2×C411yescharacteristic
244C2×#127C2×C411yescharacteristic
245C2×#124C2×C411yescharacteristic
246C2×#124C2×C411yescharacteristic
247C2×#124C2×C411yescharacteristic
248C2×#124C2×C411yescharacteristic
249#525—42no—
250#525—42no—
251C2×#123C2×C411yescharacteristic
252C2×#123C2×C411yescharacteristic
253C2×C22⋊Q8C2×C411yescharacteristic
254C2×C22⋊Q8C2×C411yescharacteristic
255C2×#121C2×C411yescharacteristic
256C2×#121C2×C411yescharacteristic
257C2×#121C2×C411yescharacteristic
258C2×#121C2×C411yescharacteristic
259C2×#121C2×C411yescharacteristic
260C2×#121C2×C411yescharacteristic
261C2×#121C2×C411yescharacteristic
262C2×#121C2×C411yescharacteristic
263C2×#121C2×C411yescharacteristic
264C2×#121C2×C411yescharacteristic
265C2×#120C2×C411yescharacteristic
266C2×#120C2×C411yescharacteristic
267C2×#120C2×C411yescharacteristic
268C2×#120C2×C411yescharacteristic
269C2×#120C2×C411yescharacteristic
270C2×#120C2×C411yescharacteristic
271C2×C4×D4C2311yescharacteristic
272C2×C4×D4C2311yescharacteristic
273C2×C4×D4C2311yescharacteristic
274C2×C4×D4C2311yescharacteristic
275C2×C4×D4C2311yescharacteristic
276C2×C4×D4C2311yescharacteristic
277C2×C4×D4C2311yescharacteristic
278C2×C4×D4C2311yescharacteristic
279C2×C4×D4C2311yescharacteristic
280C2×C4×D4C2311yescharacteristic
281C2×C4×D4C2311yescharacteristic
282C2×C4×D4C2311yescharacteristic
283C2×#117C2311yescharacteristic
284C22×C22⋊C4C2×C411yescharacteristic
285C22×C22⋊C4C2×C411yescharacteristic
286C22×C42C2311yescharacteristic
287C22×C42C2311yescharacteristic
288#436—42no—
289#435—42no—
290#435—42no—
291#435—42no—
292#435—42no—
293#435—42no—
294#435—42no—
295C8×D4—42no—
296#432—42no—
297#431—42no—
298C2×C4⋊C8C2311yescharacteristic
299C2×C4⋊C8C2311yescharacteristic
300C2×C4⋊C8C2311yescharacteristic
301C2×C4⋊C8C2311yescharacteristic
302C2×C4⋊C8C2311yescharacteristic
303C2×C4⋊C8C2311yescharacteristic
304C2×C4⋊C8C2311yescharacteristic
305C2×C4⋊C8C2311yescharacteristic
306C2×C4⋊C8C2311yescharacteristic
307C2×C4⋊C8C2311yescharacteristic
308C2×C4⋊C8C2311yescharacteristic
309C2×C4⋊C8C2311yescharacteristic
310#408—42no—
311#408—42no—
312#408—42no—
313#408—42no—
314#408—42no—
315#408—42no—
316#408—42no—
317#408—42no—
318#408—42no—
319#408—42no—
320#407—42no—
321#407—42no—
322C2×C22⋊C8—42no—
323C2×C22⋊C8—42no—
324C2×C22⋊C8C2311yescharacteristic
325C2×C22⋊C8C2311yescharacteristic
326C2×C22⋊C8C2311yescharacteristic
327C2×C22⋊C8C2311yescharacteristic
328C2×C22⋊C8C2311yescharacteristic
329C2×C22⋊C8C2311yescharacteristic
330C2×C22⋊C8C2311yescharacteristic
331C2×C22⋊C8C2311yescharacteristic
332C2×C22⋊C8C2311yescharacteristic
333C2×C22⋊C8C2311yescharacteristic
334C2×C22⋊C8C2311yescharacteristic
335C2×C22⋊C8C2311yescharacteristic
336C2×C22⋊C8C2311yescharacteristic
337C2×C22⋊C8C2311yescharacteristic
338C2×C22⋊C8C2311yescharacteristic
339C2×C22⋊C8C2311yescharacteristic
340C2×C22⋊C8C2311yescharacteristic
341C2×C22⋊C8C2311yescharacteristic
342C2×C22⋊C8C2311yescharacteristic
343C2×C22⋊C8C2311yescharacteristic
344C2×C22⋊C8C2311yescharacteristic
345C2×C22⋊C8C2311yescharacteristic
346C2×C22⋊C8C2311yescharacteristic
347C2×C22⋊C8C2311yescharacteristic
348C2×C22⋊C8C2311yescharacteristic
349C2×C22⋊C8C2311yescharacteristic
350C2×C22⋊C8C2311yescharacteristic
351C2×C22⋊C8C2311yescharacteristic
352C2×C22⋊C8C2311yescharacteristic
353C2×C22⋊C8C2311yescharacteristic
354C2×C22⋊C8C2311yescharacteristic
355C2×C22⋊C8C2311yescharacteristic
356C2×C22⋊C8C2311yescharacteristic
357C2×C22⋊C8C2311yescharacteristic
358C2×C22⋊C8C2311yescharacteristic
359C2×C22⋊C8C2311yescharacteristic
360C2×C22⋊C8C2311yescharacteristic
361C2×C22⋊C8C2311yescharacteristic
362C2×C22⋊C8C2311yescharacteristic
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×C22⋊C8C2311yescharacteristic
377C2×C22⋊C8C2311yescharacteristic
378C2×C22⋊C8C2311yescharacteristic
379C2×C22⋊C8C2311yescharacteristic
380C2×C22⋊C8C2311yescharacteristic
381C2×C22⋊C8C2311yescharacteristic
382C2×C22⋊C8C2311yescharacteristic
383C2×C22⋊C8C2311yescharacteristic
384C2×#97C2311yescharacteristic
385C2×#97C2311yescharacteristic
386C2×#97C2311yescharacteristic
387C2×#97C2311yescharacteristic
388C2×#97C2311yescharacteristic
389C2×#97C2311yescharacteristic
390C2×#97C2311yescharacteristic
391C2×#97C2311yescharacteristic
392C2×C4×C8C2311yescharacteristic
393C2×C4×C8C2311yescharacteristic
394C2×C4×C8C2311yescharacteristic
395C2×C4×C8C2311yescharacteristic
396#395C2×C411yescharacteristic
397#395C2×C411yescharacteristic
398#395C2×C411yescharacteristic
399#395C2×C411yescharacteristic
400#394C2×C411yescharacteristic
401#394C2×C411yescharacteristic
402#394C2×C411yescharacteristic
403#394C2×C411yescharacteristic
404#394C2×C411yescharacteristic
405#394C2×C411yescharacteristic
406#394C2×C411yescharacteristic
407#394C2×C411yescharacteristic
408#394C2×C411yescharacteristic
409#394C2×C411yescharacteristic
410#394C2×C411yescharacteristic
411#394C2×C411yescharacteristic
412#393C2×C411yescharacteristic
413#393C2×C411yescharacteristic
414#393C2×C411yescharacteristic
415#393C2×C411yescharacteristic
416#392C2×C411yescharacteristic
417#392C2×C411yescharacteristic
418#392C2×C411yescharacteristic
419#392C2×C411yescharacteristic
420#392C2×C411yescharacteristic
421#392C2×C411yescharacteristic
422#392C2×C411yescharacteristic
423#392C2×C411yescharacteristic
424#392C2×C411yescharacteristic
425#392C2×C411yescharacteristic
426#392C2×C411yescharacteristic
427#392C2×C411yescharacteristic
428#391C2×C411yescharacteristic
429#391C2×C411yescharacteristic
430#391C2×C411yescharacteristic
431#391C2×C411yescharacteristic
432#390C2×C411yescharacteristic
433#390C2×C411yescharacteristic
434#390C2×C411yescharacteristic
435#390C2×C411yescharacteristic
436#386C2×C411yescharacteristic
437#386C2×C411yescharacteristic
438#386C2×C411yescharacteristic
439#386C2×C411yescharacteristic
440#386C2×C411yescharacteristic
441#386C2×C411yescharacteristic
442#386C2×C411yescharacteristic
443#386C2×C411yescharacteristic
444#386C2×C411yescharacteristic
445#386C2×C411yescharacteristic
446#386C2×C411yescharacteristic
447#386C2×C411yescharacteristic
448#386C2×C411yescharacteristic
449#386C2×C411yescharacteristic
450#386C2×C411yescharacteristic
451#386C2×C411yescharacteristic
452#386C2×C411yescharacteristic
453#386C2×C411yescharacteristic
454#386C2×C411yescharacteristic
455#386C2×C411yescharacteristic
456#385C2×C411yescharacteristic
457#385C2×C411yescharacteristic
458#385C2×C411yescharacteristic
459#385C2×C411yescharacteristic
460#385C2×C411yescharacteristic
461#385C2×C411yescharacteristic
462#385C2×C411yescharacteristic
463#385C2×C411yescharacteristic
464#385C2×C411yescharacteristic
465#385C2×C411yescharacteristic
466#385C2×C411yescharacteristic
467#385C2×C411yescharacteristic
468#379C2×C411yescharacteristic
469#379C2×C411yescharacteristic
470#379C2×C411yescharacteristic
471#379C2×C411yescharacteristic
472C4×C22⋊C4C2×C411yescharacteristic
473C4×C22⋊C4C2×C411yescharacteristic
474C4×C22⋊C4C2×C411yescharacteristic
475C4×C22⋊C4C2×C411yescharacteristic
476C4×C22⋊C4C2311yescharacteristic
477C4×C22⋊C4C2311yescharacteristic
478C4×C22⋊C4C2311yescharacteristic
479C4×C22⋊C4C2311yescharacteristic
480C4×C22⋊C4C2311yescharacteristic
481C4×C22⋊C4C2311yescharacteristic
482C4×C22⋊C4C2311yescharacteristic
483C4×C22⋊C4C2311yescharacteristic
484C4×C22⋊C4C2311yescharacteristic
485C4×C22⋊C4C2311yescharacteristic
486C4×C22⋊C4C2311yescharacteristic
487C4×C22⋊C4C2311yescharacteristic
488C2×#95C2×C411yescharacteristic
489C2×#95C2×C411yescharacteristic
490#336C2311yescharacteristic
491#336C2311yescharacteristic
492#336C2311yescharacteristic
493#336C2311yescharacteristic
494#336C2311yescharacteristic
495#336C2311yescharacteristic
496#336C2311yescharacteristic
497#336C2311yescharacteristic
498#336C2311yescharacteristic
499#336C2311yescharacteristic
500#336C2311yescharacteristic
501#336C2311yescharacteristic
502#336C2311yescharacteristic
503#336C2311yescharacteristic
504#336C2311yescharacteristic
505#336C2311yescharacteristic
506#336C2311yescharacteristic
507#336C2311yescharacteristic
508#336C2311yescharacteristic
509#336C2311yescharacteristic
510#336C2311yescharacteristic
511#336C2311yescharacteristic
512#336C2311yescharacteristic
513#336C2311yescharacteristic
514C25C22×C411yescharacteristic
515C25C22×C411yescharacteristic
516C25C22×C411yescharacteristic
517C2×#41—22no—
518C2×#41—22no—
519C2×#41—22no—
520C2×#41—22no—
521C2×#41—22no—
522C2×#41—22no—
523C2×#41—22no—
524C2×#41—22no—
525C2×#41—22no—
526C2×#41—22no—
527C2×#41—22no—
528C2×#41—22no—
529C2×#41—22no—
530C2×#41—22no—
531C2×#41—41no—
532C2×#41—41no—
533C2×#41—41no—
534C2×#41—41no—
535C2×#41—41no—
536C2×#41—41no—
537C2×#41—41no—
538C2×#41—41no—
539C2×#41—41no—
540C2×#41—41no—
541C2×#41—41no—
542C2×#41—41no—
543C2×#41—41no—
544C2×#41—41no—
545C2×#41—41no—
546C2×#41—41no—
547C2×#41—42no—
548C2×#41—42no—
549C2×#41—42no—
550C2×#41—42no—
551C2×#41—42no—
552C2×#41—42no—
553C2×#41—42no—
554C2×#41—42no—
555C2×#41—42no—
556C2×#41—42no—
557C2×#41—42no—
558C2×#41—42no—
559C2×#41—416no—
560C2×#41—416no—
561C2×#41—416no—
562C2×#41—416no—
563C22×Q8—42no—
564C22×Q8—42no—
565C22×Q8—42no—
566C22×Q8C22×C411yescharacteristic
567C22×Q8C22×C411yescharacteristic
568C22×Q8C22×C411yescharacteristic
569C22×Q8C22×C411yescharacteristic
570C22×Q8C22×C411yescharacteristic
571C22×D4—42no—
572C22×D4—42no—
573C22×D4—42no—
574C22×D4—42no—
575C22×D4—42no—
576C22×D4—42no—
577C22×D4—42no—
578C22×D4—42no—
579C22×D4—42no—
580C22×D4C22×C411yescharacteristic
581C22×D4C22×C411yescharacteristic
582C22×D4C22×C411yescharacteristic
583C22×D4C22×C411yescharacteristic
584C22×D4C22×C411yescharacteristic
585C22×D4C22×C411yescharacteristic
586C22×D4C22×C411yescharacteristic
587C22×D4C22×C411yescharacteristic
588C22×D4C22×C411yescharacteristic
589C22×D4C22×C411yescharacteristic
590C22×D4C22×C411yescharacteristic
591C22×D4C22×C411yescharacteristic
592C22×D4C22×C411yescharacteristic
593C22×D4C22×C411yescharacteristic
594C22×D4C22×C411yescharacteristic
595C22×D4C22×C411yescharacteristic
596C22×D4C22×C411yescharacteristic
597C22×D4C22×C411yescharacteristic
598C22×D4C22×C411yescharacteristic
599C22×D4C22×C411yescharacteristic
600C22×D4C22×C411yescharacteristic
601C22×D4C22×C411yescharacteristic
602C22×D4C22×C411yescharacteristic
603C22×D4C22×C411yescharacteristic
604C22×D4C22×C411yescharacteristic
605C22×D4C22×C411yescharacteristic
606C22×D4C22×C411yescharacteristic
607C23×C4—22no—
608C23×C4—22no—
609C23×C4—22no—
610C23×C4—22no—
611C23×C4—22no—
612C23×C4—22no—
613C23×C4—41no—
614C23×C4—41no—
615C23×C4—41no—
616C23×C4—41no—
617C23×C4—41no—
618C23×C4—41no—
619C23×C4—41no—
620C23×C4—41no—
621C23×C4—41no—
622C23×C4—41no—
623C23×C4—41no—
624C23×C4—41no—
625C23×C4C22×C411yescharacteristic
626C23×C4C22×C411yescharacteristic
627C23×C4C22×C411yescharacteristic
628C23×C4C22×C411yescharacteristic
629C23×C4C22×C411yescharacteristic
630C23×C4C22×C411yescharacteristic
631C23×C4C22×C411yescharacteristic
632C23×C4C22×C411yescharacteristic
633C23×C4C22×C411yescharacteristic
634C23×C4C22×C411yescharacteristic
635C23×C4C22×C411yescharacteristic
636C23×C4C22×C411yescharacteristic
637C23×C4C22×C411yescharacteristic
638C23×C4C2411yescharacteristic
639C23×C4C2411yescharacteristic
640C23×C4C2411yescharacteristic
641C23×C4C2411yescharacteristic
642C23×C4C2411yescharacteristic
643C23×C4C2411yescharacteristic
644C23×C4C2411yescharacteristic
645C23×C4C2411yescharacteristic
646C23×C4C2411yescharacteristic
647C2×M16—22no—
648C2×M16—22no—
649C2×M16—22no—
650C2×M16—22no—
651C2×M16—41no—
652C2×M16—41no—
653C2×M16—41no—
654C2×M16—41no—
655C2×M16—41no—
656C2×M16—41no—
657C2×M16—41no—
658C2×M16—41no—
659C2×M16—41no—
660C2×M16—41no—
661C2×M16—41no—
662C2×M16—41no—
663C2×M16—41no—
664C2×M16—41no—
665C22×C8—22no—
666C22×C8—22no—
667C22×C8—22no—
668C22×C8—22no—
669C22×C8—41no—
670C22×C8—41no—
671C22×C8—41no—
672C22×C8—41no—
673C22×C8—41no—
674C22×C8—41no—
675C22×C8—41no—
676C22×C8—41no—
677C22×C8—41no—
678C22×C8—41no—
679C22×C8—41no—
680C22×C8—41no—
681C22×C8—41no—
682C22×C8—41no—
683C22×C8C2411yescharacteristic
684C22×C8C2411yescharacteristic
685C22×C8C2411yescharacteristic
686C22×C8C2411yescharacteristic
687C22×C8C2411yescharacteristic
688C22×C8C2411yescharacteristic
689C22×C8C2411yescharacteristic
690C22×C8C2411yescharacteristic
691C22×C8C2411yescharacteristic
692C22×C8C2411yescharacteristic
693C22×C8C2411yescharacteristic
694C22×C8C2411yescharacteristic
695C22×C8C2411yescharacteristic
696C22×C8C2411yescharacteristic
697C22×C8C2411yescharacteristic
698C22×C8C2411yescharacteristic
699C4⋊Q8—42no—
700C4⋊Q8—42no—
701#127—42no—
702#127—42no—
703#124—42no—
704#124—42no—
705#124—42no—
706#124—42no—
707#123—42no—
708#123—42no—
709C22⋊Q8—42no—
710C22⋊Q8—42no—
711#121—42no—
712#121—42no—
713#121—42no—
714#121—42no—
715#121—42no—
716#121—42no—
717#121—42no—
718#121—42no—
719#121—42no—
720#121—42no—
721#120—42no—
722#120—42no—
723#120—42no—
724#120—42no—
725#120—42no—
726#120—42no—
727C4×D4—22no—
728C4×D4—22no—
729C4×D4—22no—
730C4×D4—22no—
731C4×D4—22no—
732C4×D4—22no—
733C4×D4—22no—
734C4×D4—22no—
735C4×D4—41no—
736C4×D4—41no—
737C4×D4—41no—
738C4×D4—41no—
739C4×D4—41no—
740C4×D4—41no—
741C4×D4—41no—
742C4×D4—41no—
743C4×D4—41no—
744C4×D4—41no—
745C4×D4—41no—
746C4×D4—41no—
747C4×D4—41no—
748C4×D4—41no—
749C4×D4—41no—
750C4×D4—41no—
751#117—41no—
752#117—41no—
753C2×C4⋊C4C22×C411yescharacteristic
754C2×C4⋊C4C22×C411yescharacteristic
755C2×C4⋊C4C22×C411yescharacteristic
756C2×C4⋊C4C22×C411yescharacteristic
757C2×C4⋊C4C22×C411yescharacteristic
758C2×C4⋊C4C22×C411yescharacteristic
759C2×C4⋊C4C22×C411yescharacteristic
760C2×C4⋊C4C22×C411yescharacteristic
761C2×C4⋊C4C22×C411yescharacteristic
762C2×C4⋊C4C22×C411yescharacteristic
763C2×C4⋊C4C22×C411yescharacteristic
764C2×C4⋊C4C22×C411yescharacteristic
765C2×C4⋊C4C22×C411yescharacteristic
766C2×C4⋊C4C22×C411yescharacteristic
767C2×C22⋊C4—42no—
768C2×C22⋊C4—42no—
769C2×C22⋊C4C22×C411yescharacteristic
770C2×C22⋊C4C22×C411yescharacteristic
771C2×C22⋊C4C22×C411yescharacteristic
772C2×C22⋊C4C22×C411yescharacteristic
773C2×C22⋊C4C22×C411yescharacteristic
774C2×C22⋊C4C22×C411yescharacteristic
775C2×C22⋊C4C22×C411yescharacteristic
776C2×C22⋊C4C22×C411yescharacteristic
777C2×C22⋊C4C22×C411yescharacteristic
778C2×C22⋊C4C22×C411yescharacteristic
779C2×C22⋊C4C22×C411yescharacteristic
780C2×C22⋊C4C22×C411yescharacteristic
781C2×C22⋊C4C22×C411yescharacteristic
782C2×C22⋊C4C22×C411yescharacteristic
783C2×C22⋊C4C22×C411yescharacteristic
784C2×C22⋊C4C22×C411yescharacteristic
785C2×C22⋊C4C22×C411yescharacteristic
786C2×C22⋊C4C22×C411yescharacteristic
787C2×C22⋊C4C22×C411yescharacteristic
788C2×C22⋊C4C22×C411yescharacteristic
789C2×C22⋊C4C22×C411yescharacteristic
790C2×C22⋊C4C22×C411yescharacteristic
791C2×C22⋊C4C22×C411yescharacteristic
792C2×C22⋊C4C22×C411yescharacteristic
793C2×C22⋊C4C22×C411yescharacteristic
794C2×C22⋊C4C22×C411yescharacteristic
795C2×C22⋊C4C22×C411yescharacteristic
796C2×C22⋊C4C22×C411yescharacteristic
797C2×C22⋊C4C22×C411yescharacteristic
798C2×C22⋊C4C22×C411yescharacteristic
799C2×C22⋊C4C22×C411yescharacteristic
800C2×C22⋊C4C22×C411yescharacteristic
801C2×C22⋊C4C22×C411yescharacteristic
802C2×C22⋊C4C22×C411yescharacteristic
803C2×C22⋊C4C22×C411yescharacteristic
804C2×C22⋊C4C22×C411yescharacteristic
805C2×C22⋊C4C22×C411yescharacteristic
806C2×C22⋊C4C22×C411yescharacteristic
807C2×C22⋊C4C22×C411yescharacteristic
808C2×C22⋊C4C22×C411yescharacteristic
809C2×C22⋊C4C22×C411yescharacteristic
810C2×C22⋊C4C22×C411yescharacteristic
811C2×C22⋊C4C22×C411yescharacteristic
812C2×C22⋊C4C22×C411yescharacteristic
813C2×C22⋊C4C22×C411yescharacteristic
814C2×C22⋊C4C22×C411yescharacteristic
815C2×C22⋊C4C22×C411yescharacteristic
816C2×C22⋊C4C22×C411yescharacteristic
817C2×C22⋊C4C22×C411yescharacteristic
818C2×C22⋊C4C22×C411yescharacteristic
819C2×C42—22no—
820C2×C42—22no—
821C2×C42—41no—
822C2×C42—41no—
823C2×C42C22×C411yescharacteristic
824C2×C42C22×C411yescharacteristic
825C2×C42C22×C411yescharacteristic
826C2×C42C22×C411yescharacteristic
827C2×C42C2411yescharacteristic
828C2×C42C2411yescharacteristic
829C2×C42C2411yescharacteristic
830C2×C42C2411yescharacteristic
831C2×C42C2411yescharacteristic
832C2×C42C2411yescharacteristic
833C4⋊C8—41no—
834C4⋊C8—41no—
835C4⋊C8—41no—
836C4⋊C8—41no—
837C4⋊C8—41no—
838C4⋊C8—41no—
839C4⋊C8—41no—
840C4⋊C8—41no—
841C4⋊C8—41no—
842C4⋊C8—41no—
843C4⋊C8—41no—
844C4⋊C8—41no—
845C22⋊C8—22no—
846C22⋊C8—22no—
847C22⋊C8—22no—
848C22⋊C8—22no—
849C22⋊C8—22no—
850C22⋊C8—22no—
851C22⋊C8—22no—
852C22⋊C8—22no—
853C22⋊C8—22no—
854C22⋊C8—22no—
855C22⋊C8—22no—
856C22⋊C8—22no—
857C22⋊C8—22no—
858C22⋊C8—22no—
859C22⋊C8—22no—
860C22⋊C8—22no—
861C22⋊C8—41no—
862C22⋊C8—41no—
863C22⋊C8—41no—
864C22⋊C8—41no—
865C22⋊C8—41no—
866C22⋊C8—41no—
867C22⋊C8—41no—
868C22⋊C8—41no—
869C22⋊C8—41no—
870C22⋊C8—41no—
871C22⋊C8—41no—
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—
883C22⋊C8—41no—
884C22⋊C8—41no—
885C22⋊C8—41no—
886C22⋊C8—41no—
887C22⋊C8—41no—
888C22⋊C8—41no—
889C22⋊C8—41no—
890C22⋊C8—41no—
891C22⋊C8—41no—
892C22⋊C8—41no—
893C22⋊C8—41no—
894C22⋊C8—41no—
895C22⋊C8—41no—
896C22⋊C8—41no—
897C22⋊C8—41no—
898C22⋊C8—41no—
899C22⋊C8—41no—
900C22⋊C8—41no—
901C22⋊C8—41no—
902C22⋊C8—41no—
903C22⋊C8—41no—
904C22⋊C8—41no—
905#97—41no—
906#97—41no—
907#97—41no—
908#97—41no—
909#97—41no—
910#97—41no—
911#97—41no—
912#97—41no—
913C4×C8—41no—
914C4×C8—41no—
915C4×C8—41no—
916C4×C8—41no—
917#95C22×C411yescharacteristic
918#95C22×C411yescharacteristic
919#95C22×C411yescharacteristic
920#95C22×C411yescharacteristic
921#95C22×C411yescharacteristic
922#95C22×C411yescharacteristic
923#95C22×C411yescharacteristic
924#95C22×C411yescharacteristic
925#95C22×C411yescharacteristic
926#95C22×C411yescharacteristic
927#95C22×C411yescharacteristic
928#95C22×C411yescharacteristic
929#95C22×C411yescharacteristic
930#95C22×C411yescharacteristic
931#95C22×C411yescharacteristic
932#95C22×C411yescharacteristic
933#95C22×C411yescharacteristic
934#95C22×C411yescharacteristic
935#95C22×C411yescharacteristic
936#95C22×C411yescharacteristic
937#95C22×C411yescharacteristic
938#95C22×C411yescharacteristic
939#95C22×C411yescharacteristic
940#95C22×C411yescharacteristic
941C24—22no—
942C24—22no—
943C24—22no—
944C24—22no—
945C24—22no—
946C24—22no—
947C24—41no—
948C24—41no—
949C24—41no—
950C24—41no—
951C24—41no—
952C24—41no—
953C24—41no—
954C24—41no—
955C24—41no—
956C24—41no—
957C24—41no—
958C24—41no—
959C24—41no—
960C24—41no—
961C24—41no—
962C24C23×C411yescharacteristic
963C24C23×C411yescharacteristic
964C24C23×C411yescharacteristic
965C24C23×C411yescharacteristic
966C24C23×C411yescharacteristic
967C24C23×C411yescharacteristic
968C24C23×C411yescharacteristic
969C24C23×C411yescharacteristic
970C24C23×C411yescharacteristic
971#41—44no—
972#41—44no—
973#41—44no—
974#41—44no—
975#41—44no—
976#41—44no—
977#41—44no—
978#41—44no—
979#41—44no—
980#41—44no—
981#41—44no—
982#41—44no—
983#41—44no—
984#41—44no—
985#41—44no—
986#41—44no—
987#41—416no—
988#41—416no—
989#41—416no—
990#41—416no—
991#41—82no—
992#41—82no—
993#41—82no—
994#41—82no—
995C2×Q8—22no—
996C2×Q8—22no—
997C2×Q8—22no—
998C2×Q8—22no—
999C2×Q8—22no—
1000C2×Q8—22no—
1001C2×Q8—22no—
1002C2×Q8—41no—
1003C2×Q8—41no—
1004C2×Q8—41no—
1005C2×Q8—41no—
1006C2×Q8—41no—
1007C2×Q8—41no—
1008C2×Q8—41no—
1009C2×Q8—41no—
1010C2×Q8—416no—
1011C2×D4—22no—
1012C2×D4—22no—
1013C2×D4—22no—
1014C2×D4—22no—
1015C2×D4—22no—
1016C2×D4—22no—
1017C2×D4—22no—
1018C2×D4—22no—
1019C2×D4—22no—
1020C2×D4—22no—
1021C2×D4—22no—
1022C2×D4—22no—
1023C2×D4—22no—
1024C2×D4—22no—
1025C2×D4—22no—
1026C2×D4—22no—
1027C2×D4—22no—
1028C2×D4—22no—
1029C2×D4—22no—
1030C2×D4—22no—
1031C2×D4—22no—
1032C2×D4—22no—
1033C2×D4—22no—
1034C2×D4—22no—
1035C2×D4—22no—
1036C2×D4—22no—
1037C2×D4—22no—
1038C2×D4—22no—
1039C2×D4—22no—
1040C2×D4—41no—
1041C2×D4—41no—
1042C2×D4—41no—
1043C2×D4—41no—
1044C2×D4—41no—
1045C2×D4—41no—
1046C2×D4—41no—
1047C2×D4—41no—
1048C2×D4—41no—
1049C2×D4—41no—
1050C2×D4—41no—
1051C2×D4—41no—
1052C2×D4—41no—
1053C2×D4—41no—
1054C2×D4—41no—
1055C2×D4—41no—
1056C2×D4—41no—
1057C2×D4—41no—
1058C2×D4—41no—
1059C2×D4—41no—
1060C2×D4—41no—
1061C2×D4—41no—
1062C2×D4—41no—
1063C2×D4—41no—
1064C2×D4—41no—
1065C2×D4—41no—
1066C2×D4—41no—
1067C2×D4—41no—
1068C2×D4—41no—
1069C2×D4—41no—
1070C2×D4—41no—
1071C2×D4—41no—
1072C2×D4—41no—
1073C2×D4—41no—
1074C2×D4—41no—
1075C2×D4—41no—
1076C2×D4—41no—
1077C2×D4—41no—
1078C2×D4—41no—
1079C2×D4—41no—
1080C2×D4—41no—
1081C2×D4—41no—
1082C2×D4—41no—
1083C2×D4—41no—
1084C2×D4—41no—
1085C2×D4—41no—
1086C2×D4—41no—
1087C2×D4—41no—
1088C2×D4—41no—
1089C2×D4—41no—
1090C2×D4—41no—
1091C2×D4—41no—
1092C2×D4—416no—
1093C2×D4—416no—
1094C2×D4—416no—
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—21no—
1106C22×C4—21no—
1107C22×C4—22no—
1108C22×C4—22no—
1109C22×C4—22no—
1110C22×C4—22no—
1111C22×C4—22no—
1112C22×C4—22no—
1113C22×C4—22no—
1114C22×C4—22no—
1115C22×C4—22no—
1116C22×C4—22no—
1117C22×C4—22no—
1118C22×C4—22no—
1119C22×C4—21no—
1120C22×C4—21no—
1121C22×C4—21no—
1122C22×C4—21no—
1123C22×C4—21no—
1124C22×C4—21no—
1125C22×C4—21no—
1126C22×C4—21no—
1127C22×C4—21no—
1128C22×C4—21no—
1129C22×C4—21no—
1130C22×C4—21no—
1131C22×C4—21no—
1132C22×C4—21no—
1133C22×C4—21no—
1134C22×C4—21no—
1135C22×C4—21no—
1136C22×C4—21no—
1137C22×C4—21no—
1138C22×C4—21no—
1139C22×C4—21no—
1140C22×C4—21no—
1141C22×C4—21no—
1142C22×C4—21no—
1143C22×C4—21no—
1144C22×C4—21no—
1145C22×C4—21no—
1146C22×C4—21no—
1147C22×C4—21no—
1148C22×C4—21no—
1149C22×C4—21no—
1150C22×C4—21no—
1151C22×C4—21no—
1152C22×C4—21no—
1153C22×C4—21no—
1154C22×C4—21no—
1155C22×C4—41no—
1156C22×C4—41no—
1157C22×C4—41no—
1158C22×C4—41no—
1159C22×C4—41no—
1160C22×C4—41no—
1161C22×C4—41no—
1162C22×C4—41no—
1163C22×C4—41no—
1164C22×C4—41no—
1165C22×C4—41no—
1166C22×C4—41no—
1167C22×C4—41no—
1168C22×C4—41no—
1169C22×C4—41no—
1170C22×C4—41no—
1171C22×C4—41no—
1172C22×C4—41no—
1173C22×C4—41no—
1174C22×C4—44no—
1175C22×C4—44no—
1176C22×C4—44no—
1177C22×C4—44no—
1178C22×C4—41no—
1179C22×C4—41no—
1180C22×C4—41no—
1181C22×C4—41no—
1182C22×C4—41no—
1183C22×C4—41no—
1184C22×C4—41no—
1185C22×C4—41no—
1186C22×C4—44no—
1187C22×C4—44no—
1188C22×C4—44no—
1189C22×C4—44no—
1190C22×C4—44no—
1191C22×C4—44no—
1192C22×C4—44no—
1193C22×C4—44no—
1194C22×C4C23×C411yescharacteristic
1195C22×C4C23×C411yescharacteristic
1196C22×C4C23×C411yescharacteristic
1197C22×C4C23×C411yescharacteristic
1198C22×C4C23×C411yescharacteristic
1199C22×C4C23×C411yescharacteristic
1200C22×C4C23×C411yescharacteristic
1201C22×C4C23×C411yescharacteristic
1202C22×C4C23×C411yescharacteristic
1203C22×C4C23×C411yescharacteristic
1204C22×C4C23×C411yescharacteristic
1205C22×C4C23×C411yescharacteristic
1206C22×C4C23×C411yescharacteristic
1207C22×C4C23×C411yescharacteristic
1208C22×C4C23×C411yescharacteristic
1209C22×C4C23×C411yescharacteristic
1210C22×C4C23×C411yescharacteristic
1211C22×C4C23×C411yescharacteristic
1212C22×C4C23×C411yescharacteristic
1213C22×C4C23×C411yescharacteristic
1214C22×C4C23×C411yescharacteristic
1215C22×C4H(5,𝔽2)12yes—
1216C22×C4H(5,𝔽2)12yes—
1217C22×C4H(5,𝔽2)12yes—
1218C22×C4H(5,𝔽2)12yes—
1219C22×C4H(5,𝔽2)12yes—
1220C22×C4H(5,𝔽2)12yes—
1221C22×C4C2511yescharacteristic
1222M16—82no—
1223M16—82no—
1224M16—82no—
1225M16—82no—
1226M16—82no—
1227M16—82no—
1228C2×C8—21no—
1229C2×C8—21no—
1230C2×C8—21no—
1231C2×C8—21no—
1232C2×C8—21no—
1233C2×C8—21no—
1234C2×C8—21no—
1235C2×C8—21no—
1236C2×C8—21no—
1237C2×C8—21no—
1238C2×C8—21no—
1239C2×C8—21no—
1240C2×C8—21no—
1241C2×C8—21no—
1242C2×C8—21no—
1243C2×C8—21no—
1244C2×C8—21no—
1245C2×C8—21no—
1246C2×C8—21no—
1247C2×C8—21no—
1248C2×C8—21no—
1249C2×C8—21no—
1250C2×C8—21no—
1251C2×C8—21no—
1252C2×C8—21no—
1253C2×C8—21no—
1254C2×C8—21no—
1255C2×C8—21no—
1256C2×C8—21no—
1257C2×C8—21no—
1258C2×C8—21no—
1259C2×C8—21no—
1260C2×C8—21no—
1261C2×C8—21no—
1262C2×C8—21no—
1263C2×C8—21no—
1264C2×C8—21no—
1265C2×C8—21no—
1266C2×C8—21no—
1267C2×C8—21no—
1268C2×C8—21no—
1269C2×C8—21no—
1270C2×C8—21no—
1271C2×C8—21no—
1272C2×C8—21no—
1273C2×C8—21no—
1274C2×C8—21no—
1275C2×C8—21no—
1276C2×C8—82no—
1277C2×C8—82no—
1278C2×C8—82no—
1279C2×C8—82no—
1280C2×C8—82no—
1281C2×C8—82no—
1282C4⋊C4—22no—
1283C4⋊C4—22no—
1284C4⋊C4—22no—
1285C4⋊C4—22no—
1286C4⋊C4—41no—
1287C4⋊C4—41no—
1288C4⋊C4—41no—
1289C4⋊C4—41no—
1290C4⋊C4—41no—
1291C4⋊C4—41no—
1292C4⋊C4—41no—
1293C4⋊C4—41no—
1294C4⋊C4—41no—
1295C4⋊C4—41no—
1296C22⋊C4—22no—
1297C22⋊C4—22no—
1298C22⋊C4—22no—
1299C22⋊C4—22no—
1300C22⋊C4—22no—
1301C22⋊C4—22no—
1302C22⋊C4—22no—
1303C22⋊C4—22no—
1304C22⋊C4—22no—
1305C22⋊C4—22no—
1306C22⋊C4—22no—
1307C22⋊C4—22no—
1308C22⋊C4—22no—
1309C22⋊C4—22no—
1310C22⋊C4—41no—
1311C22⋊C4—41no—
1312C22⋊C4—41no—
1313C22⋊C4—41no—
1314C22⋊C4—41no—
1315C22⋊C4—41no—
1316C22⋊C4—41no—
1317C22⋊C4—41no—
1318C22⋊C4—41no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C22⋊C4—41no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
1324C22⋊C4—41no—
1325C22⋊C4—41no—
1326C22⋊C4—41no—
1327C22⋊C4—41no—
1328C22⋊C4—41no—
1329C22⋊C4—41no—
1330C22⋊C4—41no—
1331C22⋊C4—41no—
1332C22⋊C4—41no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—41no—
1343C22⋊C4—41no—
1344C22⋊C4—41no—
1345C22⋊C4—41no—
1346C42—22no—
1347C42—22no—
1348C42—21no—
1349C42—21no—
1350C42—21no—
1351C42—21no—
1352C42—21no—
1353C42—21no—
1354C42—21no—
1355C42—21no—
1356C42—21no—
1357C42—21no—
1358C42—21no—
1359C42—21no—
1360C42—41no—
1361C42—41no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—44no—
1422C23—44no—
1423C23—44no—
1424C23—44no—
1425C23—44no—
1426C23—44no—
1427C23—82no—
1428C23—82no—
1429C23—82no—
1430C23—82no—
1431C23—82no—
1432C23—82no—
1433C23—82no—
1434C23—82no—
1435C23—82no—
1436C23—82no—
1437C23—82no—
1438C23—82no—
1439C23—82no—
1440C23—82no—
1441C23—82no—
1442C23#51812yes—
1443C23#51812yes—
1444C23#51812yes—
1445C23#56812yes—
1446C23C24×C411yescharacteristic
1447Q8—44no—
1448Q8—44no—
1449Q8—44no—
1450Q8—44no—
1451Q8—82no—
1452D4—44no—
1453D4—44no—
1454D4—44no—
1455D4—44no—
1456D4—44no—
1457D4—44no—
1458D4—44no—
1459D4—44no—
1460D4—44no—
1461D4—44no—
1462D4—44no—
1463D4—44no—
1464D4—44no—
1465D4—82no—
1466D4—82no—
1467D4—82no—
1468D4—82no—
1469D4—82no—
1470D4—82no—
1471D4—82no—
1472D4—82no—
1473D4—82no—
1474D4—82no—
1475D4—82no—
1476D4—82no—
1477D4—82no—
1478D4—82no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
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—21no—
1550C2×C4—44no—
1551C2×C4—44no—
1552C2×C4—44no—
1553C2×C4—44no—
1554C2×C4—44no—
1555C2×C4—44no—
1556C2×C4—44no—
1557C2×C4—44no—
1558C2×C4—44no—
1559C2×C4—44no—
1560C2×C4—41no—
1561C2×C4—41no—
1562C2×C4—41no—
1563C2×C4—41no—
1564C2×C4—41no—
1565C2×C4—41no—
1566C2×C4—41no—
1567C2×C4—41no—
1568C2×C4—41no—
1569C2×C4—41no—
1570C2×C4—41no—
1571C2×C4—41no—
1572C2×C4—41no—
1573C2×C4—41no—
1574C2×C4—41no—
1575C2×C4—41no—
1576C2×C4—41no—
1577C2×C4—41no—
1578C2×C4—41no—
1579C2×C4—41no—
1580C2×C4—41no—
1581C2×C4—41no—
1582C2×C4—41no—
1583C2×C4—41no—
1584C2×C4—82no—
1585C2×C4—82no—
1586C2×C4—82no—
1587C2×C4#51812yes—
1588C2×C4#51812yes—
1589C2×C4#51812yes—
1590C2×C4#56812yes—
1591C2×C4C2×H(5,𝔽2)11yescharacteristic
1592C2×C4C2×H(5,𝔽2)11yescharacteristic
1593C2×C4C2×H(5,𝔽2)11yescharacteristic
1594C2×C4C2×H(5,𝔽2)11yescharacteristic
1595C2×C4C2×H(5,𝔽2)11yescharacteristic
1596C2×C4C2×H(5,𝔽2)11yescharacteristic
1597C8—41no—
1598C8—41no—
1599C8—41no—
1600C8—41no—
1601C8—41no—
1602C8—41no—
1603C8—41no—
1604C8—41no—
1605C8—41no—
1606C8—41no—
1607C8—41no—
1608C8—41no—
1609C8—41no—
1610C8—41no—
1611C8—41no—
1612C8—41no—
1613C22—22no—
1614C22—22no—
1615C22—22no—
1616C22—22no—
1617C22—22no—
1618C22—22no—
1619C22—22no—
1620C22—22no—
1621C22—22no—
1622C22—22no—
1623C22—22no—
1624C22—22no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—41no—
1633C22—41no—
1634C22—41no—
1635C22—41no—
1636C22—41no—
1637C22—41no—
1638C22—41no—
1639C22—41no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—41no—
1655C22—41no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—41no—
1665C22—41no—
1666C22—41no—
1667C22—41no—
1668C22—41no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—88no—
1677C22—88no—
1678C22—88no—
1679C22C2×#51811yescharacteristic
1680C22C2×#51811yescharacteristic
1681C22C2×#51811yescharacteristic
1682C22C2×#56811yescharacteristic
1683C22C2×#56811yescharacteristic
1684C22#357311yescharacteristic
1685C22#357311yescharacteristic
1686C4—22no—
1687C4—22no—
1688C4—22no—
1689C4—22no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—41no—
1697C4—41no—
1698C4—41no—
1699C4—41no—
1700C4—41no—
1701C4—41no—
1702C4—41no—
1703C4—41no—
1704C4—41no—
1705C4—41no—
1706C4—41no—
1707C4#353211yescharacteristic
1708C4#353211yescharacteristic
1709C4#353211yescharacteristic
1710C4#353211yescharacteristic
1711C2—42no—
1712C2—42no—
1713C2—42no—
1714C2—42no—
1715C2—81no—
1716C2—81no—
1717C2—81no—
1718C2—81no—
1719C2—81no—
1720C2#3435611yescharacteristic
1721C2#6023511yescharacteristic
1722C2#6023711yescharacteristic
1723C2#6024011yescharacteristic
1724C2#6024011yescharacteristic
1725C2#6024011yescharacteristic
1726C2#6024111yescharacteristic
subgroupG/H
center, Frattini, cosocleC22×C4C25
commutator, socleC23C24×C4
prime radical#34738C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C22×C4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
2. #23309C2semidirect
3. #23308C2semidirect
4. #23307C2semidirect
5. #23307C2semidirect
6. #22851C2semidirect
7. #22849C2semidirect
8. #22847C2semidirect
9. #22845C2semidirect
10. #22557C2semidirect
11. #22556C2semidirect
12. #22554C2semidirect
13. #22553C2semidirect
14. #22403C2semidirect
15. #22403C2semidirect
16. #22400C2semidirect
17. #22398C2semidirect
18. #22039C2semidirect
19. #22037C2semidirect
20. #22036C2semidirect
21. #22036C2semidirect
22. #22035C2semidirect
23. #22034C2semidirect
24. #22032C2semidirect
25. #22031C2semidirect
26. #21909C2semidirect
27. #21907C2semidirect
28. #21789C2semidirect
29. #21745C2semidirect
30. #20581C2semidirect
31. #20581C2semidirect
36. C2×#436C22semidirect
37. C2×#435C22semidirect
38. C2×#435C22semidirect
39. C2×#435C22semidirect
40. C2×#435C22semidirect
41. C2×#435C22semidirect
42. C2×#435C22semidirect
43. C2×C8×D4C22semidirect
44. C2×#432C22semidirect
45. C2×#431C22semidirect
54. C2×#408C22semidirect
55. C2×#408C22semidirect
89. #1955C22semidirect
90. #1955C22semidirect
91. #1955C22semidirect
92. #1955C22semidirect
93. #1955C22semidirect
94. #1955C22semidirect
95. #1955C22semidirect
96. #1955C22semidirect
99. #1954C22semidirect
100. #1954C22semidirect
101. #1954C22semidirect
102. #1954C22semidirect
109. #1924C22semidirect
110. #1924C22semidirect
111. #1924C22semidirect
112. #1924C22semidirect
113. #1924C22semidirect
114. #1924C22semidirect
115. #1924C22semidirect
116. #1924C22semidirect
117. #1924C22semidirect
118. #1924C22semidirect
119. #1924C22semidirect
120. #1924C22semidirect
121. #1924C22semidirect
122. #1924C22semidirect
123. #1924C22semidirect
124. #1924C22semidirect
127. #1923C22semidirect
128. #1923C22semidirect
129. #1923C22semidirect
130. #1923C22semidirect
131. #1923C22semidirect
132. #1923C22semidirect
133. #1923C22semidirect
134. #1923C22semidirect
137. #1870C22semidirect
138. #1870C22semidirect
139. #1870C22semidirect
140. #1870C22semidirect
141. #1870C22semidirect
142. #1870C22semidirect
143. #1870C22semidirect
144. #1870C22semidirect
145. #1870C22semidirect
146. #1870C22semidirect
149. #1869C22semidirect
150. #1869C22semidirect
151. #1869C22semidirect
152. #1869C22semidirect
153. #1869C22semidirect
154. #1869C22semidirect
155. #1869C22semidirect
156. #1869C22semidirect
157. #1869C22semidirect
158. #1869C22semidirect
159. #1851C22semidirect
160. #1851C22semidirect
161. #1851C22semidirect
162. #1851C22semidirect
163. #1850C22semidirect
164. #1850C22semidirect
165. #1850C22semidirect
166. #1850C22semidirect
167. #1817C22semidirect
168. #1817C22semidirect
169. #1798C22semidirect
170. #1798C22semidirect
171. #1797C22semidirect
172. #1797C22semidirect
181. #1780C22semidirect
182. #1780C22semidirect
191. #1753C22semidirect
192. #1753C22semidirect
193. #1753C22semidirect
194. #1753C22semidirect
195. #1752C22semidirect
196. #1752C22semidirect
197. #1752C22semidirect
198. C8×C22⋊C4C22semidirect
199. #1750C22semidirect
200. #1750C22semidirect
201. #1749C22semidirect
202. #1749C22semidirect

Maximal subgroups

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

subgroupindex
#347382
#233092
#233082
#233072
#228512
#228492
#228472
#228452
#225572
#225562
#225542
#225532
#224032
#224002
#223982
#220392
#220372
#220362
#220352
#220342
#220322
#220312
#219092
#219072
#217892
#217452
#205812