Finite Group Databasebeta

← #6384274

Subgroups — #6384274

Order 512.

2432 conjugacy classes of subgroups.

The subgroup lattice has 1536 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2965C211yesmaximal, characteristic, complemented
2C2×D4×M16C211yesmaximal, characteristic, complemented
3C4×#546C211yesmaximal, characteristic
4#23207C211yesmaximal, characteristic, complemented
5#23121C211yesmaximal, characteristic, complemented
6#23117C211yesmaximal, characteristic, complemented
7#23085C211yesmaximal, characteristic, complemented
8#22955C211yesmaximal, characteristic, complemented
9#22906C211yesmaximal, characteristic, complemented
10#22900C211yesmaximal, characteristic, complemented
11#22852C211yesmaximal, characteristic, complemented
12#22848C211yesmaximal, characteristic, complemented
13#22749C211yesmaximal, characteristic, complemented
14#22698C211yesmaximal, characteristic, complemented
15#22553C211yesmaximal, characteristic, complemented
16#22553C211yesmaximal, characteristic, complemented
17#22471C211yesmaximal, characteristic, complemented
18#22399C211yesmaximal, characteristic, complemented
19#21632C211yesmaximal, characteristic, complemented
20#21600C211yesmaximal, characteristic, complemented
21#21565C211yesmaximal, characteristic, complemented
22C8×#123C211yesmaximal, characteristic, complemented
23#21490C211yesmaximal, characteristic, complemented
24#21489C211yesmaximal, characteristic, complemented
25#21488C211yesmaximal, characteristic, complemented
26#21441C211yesmaximal, characteristic, complemented
27#21441C211yesmaximal, characteristic, complemented
28#20494C211yesmaximal, characteristic, complemented
29#20491C211yesmaximal, characteristic, complemented
30C22⋊C4×M16C211yesmaximal, characteristic, complemented
31C2×#1753C211yesmaximal, characteristic, complemented
32C23×M16C2211yescharacteristic
33C23×M16C2211yescharacteristic
34C2×#546C411yescharacteristic
35C2×C4×#41C2211yescharacteristic
36C22×C4×D4C2211yescharacteristic
37#2965—28no—
38C2×#446C2211yescharacteristic, complemented
39C2×#446C2211yescharacteristic, complemented
40D4×M16—28no—
41C2×#436C2211yescharacteristic
42C2×#436C2211yescharacteristic
43C2×#436C2211yescharacteristic
44C2×#436C2211yescharacteristic
45C2×#436C2211yescharacteristic, complemented
46C2×#436C2211yescharacteristic, complemented
47C2×#436C2211yescharacteristic, complemented
48C2×#435C2211yescharacteristic
49C2×#435C2211yescharacteristic
50C2×#435C2211yescharacteristic
51C2×#435C2211yescharacteristic
52C2×#435C2211yescharacteristic
53C2×#435C2211yescharacteristic
54C2×#435C2211yescharacteristic, complemented
55C2×#435C2211yescharacteristic, complemented
56C2×#435C2211yescharacteristic, complemented
57C2×C8×D4C2211yescharacteristic
58C2×C8×D4C2211yescharacteristic
59C2×#431C2211yescharacteristic, complemented
60C2×#431C2211yescharacteristic, complemented
61C2×#431C2211yescharacteristic, complemented
62C2×#423C2211yescharacteristic
63C2×#407C2211yescharacteristic
64C2×#407C2211yescharacteristic
65C2×#407C2211yescharacteristic
66C22×C22⋊C8C2211yescharacteristic
67C2×C4×M16C2211yescharacteristic
68C2×C4×M16C2211yescharacteristic, complemented
69C2×C4×M16C2211yescharacteristic, complemented
70C2×C4×M16C2211yescharacteristic, complemented
71C22×#97C2211yescharacteristic, complemented
72C22×C4×C8C2211yescharacteristic, complemented
73#2367C411yescharacteristic
74#2364C411yescharacteristic
75#2364C411yescharacteristic
76#2363C411yescharacteristic
77#2360C411yescharacteristic
78#2359C411yescharacteristic
79#2359C411yescharacteristic
80#2358C411yescharacteristic
81#2358C411yescharacteristic
82#2352C411yescharacteristic
83#2349C411yescharacteristic
84#2342C411yescharacteristic
85#2342C411yescharacteristic
86#2339C411yescharacteristic
87D4×C22⋊C4C411yescharacteristic
88C4×#124C2211yescharacteristic
89C4×C22⋊Q8C2211yescharacteristic
90C4×#123C2211yescharacteristic
91C4×#123C2211yescharacteristic
92C4×#121C2211yescharacteristic
93C4×#121C2211yescharacteristic
94C4×#121C2211yescharacteristic
95C4×#120C2211yescharacteristic
96C4×#120C2211yescharacteristic
97C42×D4C2211yescharacteristic
98C42×D4C2211yescharacteristic
99C2×C4×C22⋊C4C2211yescharacteristic
100C2×C4×C22⋊C4C2211yescharacteristic
101#1985C2211yescharacteristic, complemented
102#1985C2211yescharacteristic, complemented
103#1955C2211yescharacteristic
104#1955C2211yescharacteristic
105#1955C2211yescharacteristic, complemented
106#1954C2211yescharacteristic, complemented
107#1940C2211yescharacteristic, complemented
108#1940C2211yescharacteristic, complemented
109#1940C2211yescharacteristic, complemented
110#1939C2211yescharacteristic, complemented
111#1924C2211yescharacteristic, complemented
112#1924C2211yescharacteristic, complemented
113#1924C2211yescharacteristic, complemented
114#1924C2211yescharacteristic, complemented
115#1924C2211yescharacteristic, complemented
116#1924C2211yescharacteristic, complemented
117#1924C2211yescharacteristic, complemented
118#1923C2211yescharacteristic, complemented
119#1923C2211yescharacteristic, complemented
120#1923C2211yescharacteristic, complemented
121#1923C2211yescharacteristic, complemented
122#1923C2211yescharacteristic, complemented
123#1923C2211yescharacteristic, complemented
124#1923C2211yescharacteristic, complemented
125#1917C2211yescharacteristic, complemented
126#1916C2211yescharacteristic, complemented
127#1916C2211yescharacteristic, complemented
128#1916C2211yescharacteristic, complemented
129#1916C2211yescharacteristic, complemented
130#1916C2211yescharacteristic, complemented
131#1870C2211yescharacteristic
132#1870C2211yescharacteristic
133#1870C2211yescharacteristic
134#1870C2211yescharacteristic
135#1870C2211yescharacteristic, complemented
136#1870C2211yescharacteristic, complemented
137#1870C2211yescharacteristic, complemented
138#1870C2211yescharacteristic, complemented
139#1870C2211yescharacteristic, complemented
140#1869C2211yescharacteristic
141#1869C2211yescharacteristic
142#1869C2211yescharacteristic, complemented
143#1869C2211yescharacteristic, complemented
144#1869C2211yescharacteristic, complemented
145#1851C2211yescharacteristic
146#1851C2211yescharacteristic
147#1851C2211yescharacteristic
148#1851C2211yescharacteristic
149#1851C2211yescharacteristic, complemented
150#1851C2211yescharacteristic, complemented
151#1851C2211yescharacteristic, complemented
152#1850C2211yescharacteristic, complemented
153#1850C2211yescharacteristic, complemented
154#1850C2211yescharacteristic, complemented
155#1831C2211yescharacteristic, complemented
156#1817C2211yescharacteristic, complemented
157#1817C2211yescharacteristic, complemented
158#1797C2211yescharacteristic
159#1797C2211yescharacteristic, complemented
160#1797C2211yescharacteristic, complemented
161#1797C2211yescharacteristic, complemented
162#1779C2211yescharacteristic
163#1779C2211yescharacteristic
164#1771C2211yescharacteristic, complemented
165#1771C2211yescharacteristic, complemented
166#1771C2211yescharacteristic, complemented
167C8×C4⋊C4C2211yescharacteristic, complemented
168C8×C4⋊C4C2211yescharacteristic, complemented
169C8×C4⋊C4C2211yescharacteristic, complemented
170#1767C2211yescharacteristic, complemented
171#1767C2211yescharacteristic, complemented
172#1753C2211yescharacteristic
173#1753C2211yescharacteristic
174#1753C2211yescharacteristic
175#1753C2211yescharacteristic
176#1753C2211yescharacteristic
177#1753C2211yescharacteristic
178#1753C2211yescharacteristic
179#1753C2211yescharacteristic
180#1753C2211yescharacteristic, complemented
181#1753C2211yescharacteristic, complemented
182#1753C2211yescharacteristic, complemented
183#1753C2211yescharacteristic, complemented
184#1753C2211yescharacteristic, complemented
185#1753C2211yescharacteristic, complemented
186#1753C2211yescharacteristic, complemented
187#1753C2211yescharacteristic, complemented
188#1753C2211yescharacteristic, complemented
189#1752C2211yescharacteristic, complemented
190#1752C2211yescharacteristic, complemented
191C8×C22⋊C4C2211yescharacteristic, complemented
192C8×C22⋊C4C2211yescharacteristic, complemented
193C8×C22⋊C4C2211yescharacteristic, complemented
194C8×C22⋊C4C2211yescharacteristic, complemented
195C8×C22⋊C4C2211yescharacteristic, complemented
196#1749C2211yescharacteristic
197#1749C2211yescharacteristic, complemented
198#1749C2211yescharacteristic, complemented
199#1749C2211yescharacteristic, complemented
200#1728C2211yescharacteristic, complemented
201#1728C2211yescharacteristic, complemented
202C2×#336C2211yescharacteristic, complemented
203C2×#336C2211yescharacteristic, complemented
204C4×#97C2211yescharacteristic, complemented
205C22×#41C2×C411yescharacteristic
206C23×D4C2×C411yescharacteristic
207C24×C4C2311yescharacteristic
208C24×C4C2311yescharacteristic
209C22×M16—24no—
210C22×M16—24no—
211C22×M16—24no—
212C22×M16—24no—
213C22×M16—42no—
214C22×M16—42no—
215C22×M16C2311yescharacteristic
216C22×M16C2311yescharacteristic
217C22×M16C2311yescharacteristic
218C22×M16C2311yescharacteristic
219C22×M16C2311yescharacteristic
220C22×M16C2311yescharacteristic
221C22×M16C2311yescharacteristic
222C22×M16C2311yescharacteristic
223C22×M16C2311yescharacteristic
224C22×M16C2311yescharacteristic
225C22×M16C2311yescharacteristic
226C22×M16C2311yescharacteristic
227C23×C8C2311yescharacteristic
228C23×C8C2311yescharacteristic
229C23×C8C2311yescharacteristic
230C23×C8C2311yescharacteristic
231C23×C8C2311yescharacteristic
232C23×C8C2311yescharacteristic
233#546—28no—
234C2×#124C2×C411yescharacteristic
235C2×#123C2×C411yescharacteristic
236C2×#123C2×C411yescharacteristic
237C2×C22⋊Q8C2×C411yescharacteristic
238C2×#121C2×C411yescharacteristic
239C2×#121C2×C411yescharacteristic
240C2×#121C2×C411yescharacteristic
241C2×#120C2×C411yescharacteristic
242C2×#120C2×C411yescharacteristic
243C4×#41—24no—
244C4×#41—24no—
245C2×C4×Q8C2×C411yescharacteristic
246C2×C4×Q8C2311yescharacteristic
247C2×C4×D4—24no—
248C2×C4×D4—24no—
249C2×C4×D4C2×C411yescharacteristic
250C2×C4×D4C2×C411yescharacteristic
251C2×C4×D4C2×C411yescharacteristic
252C2×C4×D4C2×C411yescharacteristic
253C2×C4×D4C2×C411yescharacteristic
254C2×C4×D4C2×C411yescharacteristic
255C2×C4×D4C2×C411yescharacteristic
256C2×C4×D4C2×C411yescharacteristic
257C2×C4×D4C2×C411yescharacteristic
258C2×C4×D4C2×C411yescharacteristic
259C2×C4×D4C2×C411yescharacteristic
260C2×C4×D4C2311yescharacteristic
261C2×C4×D4C2311yescharacteristic
262C2×C4×D4C2311yescharacteristic
263C2×C4×D4C2311yescharacteristic
264C2×C4×D4C2311yescharacteristic
265C2×C4×D4C2311yescharacteristic
266C2×C4×D4C2311yescharacteristic
267C2×C4×D4C2311yescharacteristic
268C2×C4×D4C2311yescharacteristic
269C2×#117C2×C411yescharacteristic
270C2×#117C2×C411yescharacteristic
271C2×#117C2×C411yescharacteristic
272C22×C4⋊C4C2×C411yescharacteristic
273C22×C22⋊C4C2×C411yescharacteristic
274C22×C22⋊C4C2×C411yescharacteristic
275C22×C22⋊C4C2×C411yescharacteristic
276C22×C22⋊C4C2×C411yescharacteristic
277C22×C22⋊C4C2×C411yescharacteristic
278C22×C22⋊C4C2×C411yescharacteristic
279C22×C42C2311yescharacteristic
280C22×C42C2311yescharacteristic
281C22×C42C2311yescharacteristic
282C22×C42C2311yescharacteristic
283C22×C42C2311yescharacteristic
284C22×C42C2311yescharacteristic
285#446—24no—
286#446—24no—
287#436—24no—
288#436—24no—
289#436—24no—
290#436—24no—
291#436—24no—
292#436—24no—
293#436—42no—
294#435—24no—
295#435—24no—
296#435—24no—
297#435—24no—
298#435—24no—
299#435—24no—
300#435—24no—
301#435—42no—
302#435D418yescomplemented
303C8×D4—24no—
304C8×D4—24no—
305#431—24no—
306#431—24no—
307#431—24no—
308#423—24no—
309C2×C4⋊C8C2311yescharacteristic
310C2×C4⋊C8C2311yescharacteristic
311C2×C4⋊C8C2311yescharacteristic
312C2×C4⋊C8C2311yescharacteristic
313C2×C4⋊C8C2311yescharacteristic
314C2×C4⋊C8C2311yescharacteristic
315C2×C4⋊C8C2311yescharacteristic
316C2×C4⋊C8C2311yescharacteristic
317C2×C4⋊C8C2311yescharacteristic
318C2×C4⋊C8C2311yescharacteristic
319C2×C4⋊C8C2311yescharacteristic
320C2×C4⋊C8C2311yescharacteristic
321C2×C4⋊C8C2311yescharacteristic
322C2×C4⋊C8C2311yescharacteristic
323C2×C4⋊C8C2311yescharacteristic
324C2×C4⋊C8C2311yescharacteristic
325#407—24no—
326#407—24no—
327#407—24no—
328C2×C22⋊C8—24no—
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
359C4×M16—24no—
360C4×M16—24no—
361C4×M16—24no—
362C4×M16—42no—
363C2×#97—42no—
364C2×#97C2311yescharacteristic
365C2×#97C2311yescharacteristic
366C2×#97C2311yescharacteristic
367C2×#97C2311yescharacteristic
368C2×#97C2311yescharacteristic
369C2×#97C2311yescharacteristic
370C2×#97C2311yescharacteristic
371C2×#97C2311yescharacteristic
372C2×#97C2311yescharacteristic
373C2×#97C2311yescharacteristic
374C2×#97C2311yescharacteristic
375C2×#97C2311yescharacteristic
376C2×C4×C8—24no—
377C2×C4×C8C2311yescharacteristic
378C2×C4×C8C2311yescharacteristic
379C2×C4×C8C2311yescharacteristic
380C2×C4×C8C2311yescharacteristic
381C2×C4×C8C2311yescharacteristic
382C2×C4×C8C2311yescharacteristic
383C2×C4×C8C2311yescharacteristic
384C2×C4×C8C2311yescharacteristic
385C2×C4×C8C2311yescharacteristic
386C2×C4×C8C2311yescharacteristic
387C2×C4×C8C2311yescharacteristic
388C2×C4×C8C2311yescharacteristic
389#391C2×C411yescharacteristic
390#391C2×C411yescharacteristic
391#390C2×C411yescharacteristic
392#390C2×C411yescharacteristic
393#390C2×C411yescharacteristic
394#390C2×C411yescharacteristic
395#389C2×C411yescharacteristic
396#389C2×C411yescharacteristic
397#389C2×C411yescharacteristic
398#389C2×C411yescharacteristic
399#388C2×C411yescharacteristic
400#388C2×C411yescharacteristic
401#388C2×C411yescharacteristic
402#388C2×C411yescharacteristic
403#388C2×C411yescharacteristic
404#388C2×C411yescharacteristic
405#388C2×C411yescharacteristic
406#388C2×C411yescharacteristic
407#388C2×C411yescharacteristic
408#388C2×C411yescharacteristic
409#388C2×C411yescharacteristic
410#388C2×C411yescharacteristic
411#388C2×C411yescharacteristic
412#388C2×C411yescharacteristic
413#387C2×C411yescharacteristic
414#387C2×C411yescharacteristic
415#387C2×C411yescharacteristic
416#387C2×C411yescharacteristic
417#387C2×C411yescharacteristic
418#387C2×C411yescharacteristic
419#386C2×C411yescharacteristic
420#386C2×C411yescharacteristic
421#386C2×C411yescharacteristic
422#386C2×C411yescharacteristic
423#386C2×C411yescharacteristic
424#386C2×C411yescharacteristic
425#386C2×C411yescharacteristic
426#386C2×C411yescharacteristic
427#386C2×C411yescharacteristic
428#386C2×C411yescharacteristic
429#386C2×C411yescharacteristic
430#386C2×C411yescharacteristic
431#386C2×C411yescharacteristic
432#386C2×C411yescharacteristic
433#385C2×C411yescharacteristic
434#385C2×C411yescharacteristic
435#385C2×C411yescharacteristic
436#385C2×C411yescharacteristic
437#385C2×C411yescharacteristic
438#385C2×C411yescharacteristic
439#385C2×C411yescharacteristic
440#385C2×C411yescharacteristic
441#385C2×C411yescharacteristic
442#385C2×C411yescharacteristic
443#382C2×C411yescharacteristic
444#381C2×C411yescharacteristic
445#381C2×C411yescharacteristic
446#380C2×C411yescharacteristic
447#380C2×C411yescharacteristic
448#380C2×C411yescharacteristic
449#380C2×C411yescharacteristic
450#379C2×C411yescharacteristic
451#379C2×C411yescharacteristic
452C4×C4⋊C4C2×C411yescharacteristic
453C4×C4⋊C4C2×C411yescharacteristic
454C4×C4⋊C4C2×C411yescharacteristic
455C4×C4⋊C4C2×C411yescharacteristic
456C4×C4⋊C4C2311yescharacteristic
457C4×C4⋊C4C2311yescharacteristic
458C4×C4⋊C4C2311yescharacteristic
459C4×C4⋊C4C2311yescharacteristic
460C4×C22⋊C4C2×C411yescharacteristic
461C4×C22⋊C4C2×C411yescharacteristic
462C4×C22⋊C4C2×C411yescharacteristic
463C4×C22⋊C4C2×C411yescharacteristic
464C4×C22⋊C4C2×C411yescharacteristic
465C4×C22⋊C4C2×C411yescharacteristic
466C4×C22⋊C4C2×C411yescharacteristic
467C4×C22⋊C4C2×C411yescharacteristic
468C4×C22⋊C4C2×C411yescharacteristic
469C4×C22⋊C4C2×C411yescharacteristic
470C4×C22⋊C4C2×C411yescharacteristic
471C4×C22⋊C4C2×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
490C2×#95C2×C411yescharacteristic
491C2×#95C2×C411yescharacteristic
492C43C2311yescharacteristic
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
514#336C2311yescharacteristic
515#336C2311yescharacteristic
516#336C2311yescharacteristic
517#336C2311yescharacteristic
518#336C2311yescharacteristic
519#336C2311yescharacteristic
520#336C2311yescharacteristic
521#336C2311yescharacteristic
522#336C2311yescharacteristic
523#336C2311yescharacteristic
524#336C2311yescharacteristic
525C25C22×C411yescharacteristic
526C25C22×C411yescharacteristic
527C2×#41—24no—
528C2×#41—24no—
529C2×#41—42no—
530C22×Q8C22×C411yescharacteristic
531C22×D4—24no—
532C22×D4—24no—
533C22×D4—42no—
534C22×D4C22×C411yescharacteristic
535C22×D4C22×C411yescharacteristic
536C22×D4C22×C411yescharacteristic
537C22×D4C22×C411yescharacteristic
538C22×D4C22×C411yescharacteristic
539C22×D4C22×C411yescharacteristic
540C22×D4C22×C411yescharacteristic
541C22×D4C22×C411yescharacteristic
542C22×D4C22×C411yescharacteristic
543C23×C4—22no—
544C23×C4—22no—
545C23×C4—22no—
546C23×C4—22no—
547C23×C4—22no—
548C23×C4—22no—
549C23×C4—22no—
550C23×C4—22no—
551C23×C4—41no—
552C23×C4—41no—
553C23×C4—41no—
554C23×C4—41no—
555C23×C4C22×C411yescharacteristic
556C23×C4C22×C411yescharacteristic
557C23×C4C22×C411yescharacteristic
558C23×C4C22×C411yescharacteristic
559C23×C4C22×C411yescharacteristic
560C23×C4C22×C411yescharacteristic
561C23×C4C22×C411yescharacteristic
562C23×C4C22×C411yescharacteristic
563C23×C4C22×C411yescharacteristic
564C23×C4C22×C411yescharacteristic
565C23×C4C22×C411yescharacteristic
566C23×C4C22×C411yescharacteristic
567C23×C4C22×C411yescharacteristic
568C23×C4C22×C411yescharacteristic
569C23×C4C22×C411yescharacteristic
570C23×C4C22×C411yescharacteristic
571C23×C4C22×C411yescharacteristic
572C23×C4C22×C411yescharacteristic
573C23×C4C2411yescharacteristic
574C23×C4C2411yescharacteristic
575C23×C4C2411yescharacteristic
576C23×C4C2411yescharacteristic
577C23×C4C2411yescharacteristic
578C23×C4C2411yescharacteristic
579C2×M16—22no—
580C2×M16—22no—
581C2×M16—22no—
582C2×M16—22no—
583C2×M16—22no—
584C2×M16—22no—
585C2×M16—22no—
586C2×M16—22no—
587C2×M16—22no—
588C2×M16—22no—
589C2×M16—22no—
590C2×M16—22no—
591C2×M16—22no—
592C2×M16—22no—
593C2×M16—22no—
594C2×M16—22no—
595C2×M16—22no—
596C2×M16—22no—
597C2×M16—22no—
598C2×M16—22no—
599C2×M16—22no—
600C2×M16—22no—
601C2×M16—22no—
602C2×M16—22no—
603C2×M16—22no—
604C2×M16—22no—
605C2×M16—41no—
606C2×M16—41no—
607C2×M16—41no—
608C2×M16—41no—
609C2×M16—41no—
610C2×M16—41no—
611C2×M16—41no—
612C2×M16—41no—
613C2×M16—416no—
614C2×M16—416no—
615C2×M16C2×D414yes—
616C2×M16#4114yescomplemented
617C22×C8—22no—
618C22×C8—22no—
619C22×C8—22no—
620C22×C8—22no—
621C22×C8—22no—
622C22×C8—22no—
623C22×C8—22no—
624C22×C8—22no—
625C22×C8—22no—
626C22×C8—22no—
627C22×C8—22no—
628C22×C8—22no—
629C22×C8—22no—
630C22×C8—41no—
631C22×C8—41no—
632C22×C8—41no—
633C22×C8—41no—
634C22×C8C2×D414yes—
635C22×C8C2411yescharacteristic
636C22×C8C2411yescharacteristic
637C22×C8C2411yescharacteristic
638C22×C8C2411yescharacteristic
639C22×C8C2411yescharacteristic
640C22×C8C2411yescharacteristic
641C22×C8C2411yescharacteristic
642C22×C8C2411yescharacteristic
643C22×C8C2411yescharacteristic
644C22×C8C2411yescharacteristic
645C22×C8C2411yescharacteristic
646C22×C8C2411yescharacteristic
647C22×C8C2411yescharacteristic
648C22×C8C2411yescharacteristic
649C22×C8C2411yescharacteristic
650C22×C8C2411yescharacteristic
651#124—24no—
652#123—24no—
653#123M1618yescomplemented
654C22⋊Q8—24no—
655#121—24no—
656#121—24no—
657#121—24no—
658#120—24no—
659#120—24no—
660C4×Q8—24no—
661C4×Q8—22no—
662C4×Q8—22no—
663C4×D4—24no—
664C4×D4—24no—
665C4×D4—22no—
666C4×D4—22no—
667C4×D4—22no—
668C4×D4—22no—
669C4×D4—22no—
670C4×D4—22no—
671C4×D4—22no—
672C4×D4—22no—
673C4×D4—22no—
674C4×D4—22no—
675C4×D4—24no—
676C4×D4—24no—
677C4×D4—24no—
678C4×D4—24no—
679C4×D4—24no—
680C4×D4—24no—
681C4×D4—24no—
682C4×D4—22no—
683C4×D4—22no—
684C4×D4—41no—
685C4×D4—41no—
686C4×D4—41no—
687C4×D4—41no—
688C4×D4—42no—
689C4×D4—42no—
690C4×D4C2×D414yes—
691C4×D4#4114yes—
692#117—24no—
693#117—24no—
694#117—24no—
695C2×C4⋊C4—24no—
696C2×C4⋊C4C22×C411yescharacteristic
697C2×C4⋊C4C22×C411yescharacteristic
698C2×C4⋊C4C22×C411yescharacteristic
699C2×C4⋊C4C22×C411yescharacteristic
700C2×C4⋊C4C22×C411yescharacteristic
701C2×C4⋊C4C22×C411yescharacteristic
702C2×C4⋊C4C22×C411yescharacteristic
703C2×C4⋊C4C22×C411yescharacteristic
704C2×C4⋊C4C22×C411yescharacteristic
705C2×C4⋊C4C22×C411yescharacteristic
706C2×C4⋊C4C22×C411yescharacteristic
707C2×C4⋊C4C22×C411yescharacteristic
708C2×C4⋊C4C22×C411yescharacteristic
709C2×C4⋊C4C22×C411yescharacteristic
710C2×C4⋊C4C22×C411yescharacteristic
711C2×C4⋊C4C22×C411yescharacteristic
712C2×C4⋊C4C22×C411yescharacteristic
713C2×C4⋊C4C22×C411yescharacteristic
714C2×C4⋊C4C22×C411yescharacteristic
715C2×C4⋊C4C22×C411yescharacteristic
716C2×C22⋊C4—24no—
717C2×C22⋊C4—24no—
718C2×C22⋊C4—24no—
719C2×C22⋊C4—24no—
720C2×C22⋊C4—42no—
721C2×C22⋊C4—42no—
722C2×C22⋊C4C22×C411yescharacteristic
723C2×C22⋊C4C22×C411yescharacteristic
724C2×C22⋊C4C22×C411yescharacteristic
725C2×C22⋊C4C22×C411yescharacteristic
726C2×C22⋊C4C22×C411yescharacteristic
727C2×C22⋊C4C22×C411yescharacteristic
728C2×C22⋊C4C22×C411yescharacteristic
729C2×C22⋊C4C22×C411yescharacteristic
730C2×C22⋊C4C22×C411yescharacteristic
731C2×C22⋊C4C22×C411yescharacteristic
732C2×C22⋊C4C22×C411yescharacteristic
733C2×C22⋊C4C22×C411yescharacteristic
734C2×C22⋊C4C22×C411yescharacteristic
735C2×C22⋊C4C22×C411yescharacteristic
736C2×C22⋊C4C22×C411yescharacteristic
737C2×C22⋊C4C22×C411yescharacteristic
738C2×C22⋊C4C22×C411yescharacteristic
739C2×C22⋊C4C22×C411yescharacteristic
740C2×C22⋊C4C22×C411yescharacteristic
741C2×C22⋊C4C22×C411yescharacteristic
742C2×C22⋊C4C22×C411yescharacteristic
743C2×C22⋊C4C22×C411yescharacteristic
744C2×C22⋊C4C22×C411yescharacteristic
745C2×C22⋊C4C22×C411yescharacteristic
746C2×C22⋊C4C22×C411yescharacteristic
747C2×C22⋊C4C22×C411yescharacteristic
748C2×C22⋊C4C22×C411yescharacteristic
749C2×C22⋊C4C22×C411yescharacteristic
750C2×C22⋊C4C22×C411yescharacteristic
751C2×C22⋊C4C22×C411yescharacteristic
752C2×C22⋊C4C22×C411yescharacteristic
753C2×C22⋊C4C22×C411yescharacteristic
754C2×C22⋊C4C22×C411yescharacteristic
755C2×C22⋊C4C22×C411yescharacteristic
756C2×C22⋊C4C22×C411yescharacteristic
757C2×C22⋊C4C22×C411yescharacteristic
758C2×C22⋊C4C22×C411yescharacteristic
759C2×C22⋊C4C22×C411yescharacteristic
760C2×C22⋊C4C22×C411yescharacteristic
761C2×C22⋊C4C22×C411yescharacteristic
762C2×C22⋊C4C22×C411yescharacteristic
763C2×C22⋊C4C22×C411yescharacteristic
764C2×C42—22no—
765C2×C42—22no—
766C2×C42—22no—
767C2×C42—22no—
768C2×C42—22no—
769C2×C42—22no—
770C2×C42—22no—
771C2×C42—22no—
772C2×C42—41no—
773C2×C42—41no—
774C2×C42—41no—
775C2×C42—41no—
776C2×C42C22×C411yescharacteristic
777C2×C42C22×C411yescharacteristic
778C2×C42C22×C411yescharacteristic
779C2×C42C22×C411yescharacteristic
780C2×C42C22×C411yescharacteristic
781C2×C42C22×C411yescharacteristic
782C2×C42C22×C411yescharacteristic
783C2×C42C22×C411yescharacteristic
784C2×C42C22×C411yescharacteristic
785C2×C42C22×C411yescharacteristic
786C2×C42C22×C411yescharacteristic
787C2×C42C22×C411yescharacteristic
788C2×C42C22×C411yescharacteristic
789C2×C42C22×C411yescharacteristic
790C2×C42C22×C411yescharacteristic
791C2×C42C22×C411yescharacteristic
792C2×C42C2411yescharacteristic
793C2×C42C2411yescharacteristic
794C2×C42C2411yescharacteristic
795C2×C42C2411yescharacteristic
796C2×C42C2411yescharacteristic
797C2×C42C2411yescharacteristic
798C2×C42C2411yescharacteristic
799C2×C42C2411yescharacteristic
800C2×C42C2411yescharacteristic
801C4⋊C8—22no—
802C4⋊C8—22no—
803C4⋊C8—22no—
804C4⋊C8—22no—
805C4⋊C8—22no—
806C4⋊C8—22no—
807C4⋊C8—22no—
808C4⋊C8—22no—
809C4⋊C8—22no—
810C4⋊C8—22no—
811C4⋊C8—22no—
812C4⋊C8—41no—
813C4⋊C8—41no—
814C4⋊C8—41no—
815C4⋊C8—41no—
816C4⋊C8C2×D414yes—
817C22⋊C8—22no—
818C22⋊C8—22no—
819C22⋊C8—22no—
820C22⋊C8—22no—
821C22⋊C8—22no—
822C22⋊C8—22no—
823C22⋊C8—22no—
824C22⋊C8—22no—
825C22⋊C8—22no—
826C22⋊C8—22no—
827C22⋊C8—22no—
828C22⋊C8—22no—
829C22⋊C8—22no—
830C22⋊C8—22no—
831C22⋊C8—22no—
832C22⋊C8—22no—
833C22⋊C8—22no—
834C22⋊C8—22no—
835C22⋊C8—22no—
836C22⋊C8—22no—
837C22⋊C8—22no—
838C22⋊C8—41no—
839C22⋊C8—41no—
840C22⋊C8—41no—
841C22⋊C8—41no—
842C22⋊C8—41no—
843C22⋊C8—41no—
844C22⋊C8C2×D414yes—
845C22⋊C8C2×D414yes—
846C22⋊C8#4114yescomplemented
847#97—22no—
848#97—22no—
849#97—22no—
850#97—22no—
851#97—22no—
852#97—22no—
853#97—22no—
854#97—41no—
855#97—41no—
856#97—41no—
857#97—41no—
858#97C2×D414yes—
859C4×C8—22no—
860C4×C8—22no—
861C4×C8—22no—
862C4×C8—22no—
863C4×C8—22no—
864C4×C8—22no—
865C4×C8—22no—
866C4×C8—22no—
867C4×C8—22no—
868C4×C8—22no—
869C4×C8—22no—
870C4×C8—41no—
871#95C22×C411yescharacteristic
872#95C22×C411yescharacteristic
873#95C22×C411yescharacteristic
874#95C22×C411yescharacteristic
875#95C22×C411yescharacteristic
876#95C22×C411yescharacteristic
877#95C22×C411yescharacteristic
878#95C22×C411yescharacteristic
879#95C22×C411yescharacteristic
880#95C22×C411yescharacteristic
881#95C22×C411yescharacteristic
882#95C22×C411yescharacteristic
883#95C22×C411yescharacteristic
884#95C22×C411yescharacteristic
885#95C22×C411yescharacteristic
886#95C22×C411yescharacteristic
887#95C22×C411yescharacteristic
888#95C22×C411yescharacteristic
889#95C22×C411yescharacteristic
890#95C22×C411yescharacteristic
891#95C22×C411yescharacteristic
892#95C22×C411yescharacteristic
893#95C22×C411yescharacteristic
894#95C22×C411yescharacteristic
895#95C22×C411yescharacteristic
896#95C22×C411yescharacteristic
897#95C22×C411yescharacteristic
898#95C22×C411yescharacteristic
899#95C22×C411yescharacteristic
900#95C22×C411yescharacteristic
901#95C22×C411yescharacteristic
902#95C22×C411yescharacteristic
903C24—22no—
904C24—22no—
905C24—22no—
906C24—22no—
907C24—22no—
908C24—22no—
909C24—22no—
910C24—41no—
911C24—41no—
912C24—41no—
913C24—41no—
914C24—41no—
915C24—41no—
916C24—41no—
917C24C23×C411yescharacteristic
918C24C23×C411yescharacteristic
919C24C23×C411yescharacteristic
920C24C23×C411yescharacteristic
921C24C23×C411yescharacteristic
922C24C23×C411yescharacteristic
923#41—416no—
924C2×Q8—22no—
925C2×Q8—22no—
926C2×Q8—41no—
927C2×D4—22no—
928C2×D4—22no—
929C2×D4—22no—
930C2×D4—22no—
931C2×D4—22no—
932C2×D4—22no—
933C2×D4—22no—
934C2×D4—22no—
935C2×D4—22no—
936C2×D4—22no—
937C2×D4—22no—
938C2×D4—22no—
939C2×D4—22no—
940C2×D4—22no—
941C2×D4—22no—
942C2×D4—22no—
943C2×D4—22no—
944C2×D4—41no—
945C2×D4—41no—
946C2×D4—41no—
947C2×D4—41no—
948C2×D4—41no—
949C2×D4—41no—
950C2×D4—41no—
951C2×D4—41no—
952C2×D4—416no—
953C2×D4C4×D414yes—
954C2×D4C2×M1614yes—
955C22×C4—22no—
956C22×C4—22no—
957C22×C4—21no—
958C22×C4—21no—
959C22×C4—21no—
960C22×C4—21no—
961C22×C4—21no—
962C22×C4—21no—
963C22×C4—21no—
964C22×C4—21no—
965C22×C4—21no—
966C22×C4—21no—
967C22×C4—21no—
968C22×C4—21no—
969C22×C4—22no—
970C22×C4—22no—
971C22×C4—22no—
972C22×C4—22no—
973C22×C4—22no—
974C22×C4—22no—
975C22×C4—22no—
976C22×C4—22no—
977C22×C4—22no—
978C22×C4—22no—
979C22×C4—22no—
980C22×C4—22no—
981C22×C4—22no—
982C22×C4—22no—
983C22×C4—22no—
984C22×C4—22no—
985C22×C4—22no—
986C22×C4—22no—
987C22×C4—22no—
988C22×C4—22no—
989C22×C4—22no—
990C22×C4—22no—
991C22×C4—22no—
992C22×C4—22no—
993C22×C4—22no—
994C22×C4—22no—
995C22×C4—21no—
996C22×C4—21no—
997C22×C4—21no—
998C22×C4—21no—
999C22×C4—21no—
1000C22×C4—21no—
1001C22×C4—21no—
1002C22×C4—21no—
1003C22×C4—21no—
1004C22×C4—21no—
1005C22×C4—21no—
1006C22×C4—21no—
1007C22×C4—21no—
1008C22×C4—21no—
1009C22×C4—21no—
1010C22×C4—21no—
1011C22×C4—21no—
1012C22×C4—21no—
1013C22×C4—22no—
1014C22×C4—22no—
1015C22×C4—41no—
1016C22×C4—41no—
1017C22×C4—41no—
1018C22×C4—41no—
1019C22×C4—41no—
1020C22×C4—41no—
1021C22×C4—41no—
1022C22×C4—41no—
1023C22×C4—41no—
1024C22×C4—41no—
1025C22×C4—41no—
1026C22×C4—41no—
1027C22×C4—44no—
1028C22×C4—44no—
1029C22×C4—44no—
1030C22×C4—44no—
1031C22×C4—44no—
1032C22×C4—44no—
1033C22×C4—44no—
1034C22×C4—44no—
1035C22×C4—41no—
1036C22×C4—41no—
1037C22×C4—41no—
1038C22×C4—41no—
1039C22×C4—41no—
1040C22×C4—41no—
1041C22×C4—41no—
1042C22×C4—41no—
1043C22×C4—41no—
1044C22×C4—41no—
1045C22×C4—41no—
1046C22×C4C2×M1614yescomplemented
1047C22×C4C23×C411yescharacteristic
1048C22×C4C23×C411yescharacteristic
1049C22×C4C23×C411yescharacteristic
1050C22×C4C23×C411yescharacteristic
1051C22×C4C23×C411yescharacteristic
1052C22×C4C23×C411yescharacteristic
1053C22×C4C23×C411yescharacteristic
1054C22×C4C23×C411yescharacteristic
1055C22×C4C23×C411yescharacteristic
1056C22×C4C23×C411yescharacteristic
1057C22×C4C23×C411yescharacteristic
1058C22×C4C23×C411yescharacteristic
1059C22×C4C23×C411yescharacteristic
1060C22×C4C23×C411yescharacteristic
1061C22×C4C23×C411yescharacteristic
1062C22×C4C23×C411yescharacteristic
1063C22×C4C23×C411yescharacteristic
1064C22×C4C23×C411yescharacteristic
1065C22×C4C23×C411yescharacteristic
1066C22×C4C23×C411yescharacteristic
1067C22×C4C23×C411yescharacteristic
1068C22×C4C23×C411yescharacteristic
1069C22×C4C23×C411yescharacteristic
1070C22×C4C23×C411yescharacteristic
1071C22×C4C22×D412yes—
1072C22×C4C22×D412yes—
1073C22×C4C2×#4112yes—
1074C22×C4C2×#4112yes—
1075C22×C4C2×#4112yes—
1076C22×C4C2×#4112yes—
1077C22×C4C2511yescharacteristic
1078M16—28no—
1079M16—28no—
1080M16—44no—
1081M16—44no—
1082M16—44no—
1083M16—44no—
1084M16—44no—
1085M16—44no—
1086M16—44no—
1087M16—44no—
1088M16—44no—
1089M16—44no—
1090C2×C8—21no—
1091C2×C8—21no—
1092C2×C8—21no—
1093C2×C8—21no—
1094C2×C8—21no—
1095C2×C8—21no—
1096C2×C8—21no—
1097C2×C8—21no—
1098C2×C8—21no—
1099C2×C8—21no—
1100C2×C8—21no—
1101C2×C8—21no—
1102C2×C8—28no—
1103C2×C8—21no—
1104C2×C8—21no—
1105C2×C8—21no—
1106C2×C8—21no—
1107C2×C8—21no—
1108C2×C8—21no—
1109C2×C8—21no—
1110C2×C8—21no—
1111C2×C8—21no—
1112C2×C8—21no—
1113C2×C8—21no—
1114C2×C8—21no—
1115C2×C8—21no—
1116C2×C8—21no—
1117C2×C8—21no—
1118C2×C8—21no—
1119C2×C8—21no—
1120C2×C8—21no—
1121C2×C8—21no—
1122C2×C8—21no—
1123C2×C8—21no—
1124C2×C8—21no—
1125C2×C8—21no—
1126C2×C8—21no—
1127C2×C8—21no—
1128C2×C8—21no—
1129C2×C8—21no—
1130C2×C8—44no—
1131C2×C8—44no—
1132C2×C8—44no—
1133C2×C8—44no—
1134C2×C8—44no—
1135C2×C8C22×D412yes—
1136C2×C8C22×D412yes—
1137C2×C8C22×D412yes—
1138C2×C8C22×D412yes—
1139C2×C8C2×#4112yes—
1140C2×C8C2×#4112yes—
1141C2×C8C2×#4112yes—
1142C2×C8C2×#4112yes—
1143C2×C8H(5,𝔽2)12yes—
1144C4⋊C4—22no—
1145C4⋊C4—22no—
1146C4⋊C4—22no—
1147C4⋊C4—22no—
1148C4⋊C4—22no—
1149C4⋊C4—22no—
1150C4⋊C4—22no—
1151C4⋊C4—22no—
1152C4⋊C4—22no—
1153C4⋊C4—22no—
1154C4⋊C4—22no—
1155C4⋊C4—22no—
1156C4⋊C4—41no—
1157C4⋊C4—41no—
1158C4⋊C4—41no—
1159C4⋊C4—41no—
1160C4⋊C4—41no—
1161C4⋊C4C4×D414yes—
1162C4⋊C4C2×M1614yescomplemented
1163C4⋊C4C2×M1614yescomplemented
1164C22⋊C4—22no—
1165C22⋊C4—22no—
1166C22⋊C4—22no—
1167C22⋊C4—22no—
1168C22⋊C4—22no—
1169C22⋊C4—22no—
1170C22⋊C4—22no—
1171C22⋊C4—22no—
1172C22⋊C4—22no—
1173C22⋊C4—22no—
1174C22⋊C4—22no—
1175C22⋊C4—22no—
1176C22⋊C4—22no—
1177C22⋊C4—22no—
1178C22⋊C4—22no—
1179C22⋊C4—22no—
1180C22⋊C4—22no—
1181C22⋊C4—22no—
1182C22⋊C4—22no—
1183C22⋊C4—22no—
1184C22⋊C4—22no—
1185C22⋊C4—22no—
1186C22⋊C4—22no—
1187C22⋊C4—22no—
1188C22⋊C4—22no—
1189C22⋊C4—41no—
1190C22⋊C4—41no—
1191C22⋊C4—41no—
1192C22⋊C4—41no—
1193C22⋊C4—41no—
1194C22⋊C4—41no—
1195C22⋊C4—41no—
1196C22⋊C4—41no—
1197C22⋊C4—41no—
1198C22⋊C4—41no—
1199C22⋊C4—41no—
1200C22⋊C4—41no—
1201C22⋊C4C4×D414yes—
1202C22⋊C4C4×D414yes—
1203C22⋊C4C2×M1614yescomplemented
1204C22⋊C4C2×M1614yescomplemented
1205C22⋊C4C2×M1614yescomplemented
1206C42—22no—
1207C42—22no—
1208C42—22no—
1209C42—22no—
1210C42—22no—
1211C42—22no—
1212C42—22no—
1213C42—22no—
1214C42—22no—
1215C42—21no—
1216C42—21no—
1217C42—21no—
1218C42—21no—
1219C42—21no—
1220C42—21no—
1221C42—21no—
1222C42—21no—
1223C42—21no—
1224C42—21no—
1225C42—21no—
1226C42—21no—
1227C42—21no—
1228C42—21no—
1229C42—21no—
1230C42—21no—
1231C42—41no—
1232C42—41no—
1233C42—41no—
1234C42—41no—
1235C42—41no—
1236C42—41no—
1237C42—41no—
1238C42C22×D412yes—
1239C42C2×#4112yes—
1240C23—21no—
1241C23—21no—
1242C23—21no—
1243C23—21no—
1244C23—21no—
1245C23—21no—
1246C23—21no—
1247C23—21no—
1248C23—21no—
1249C23—21no—
1250C23—21no—
1251C23—21no—
1252C23—21no—
1253C23—21no—
1254C23—21no—
1255C23—21no—
1256C23—21no—
1257C23—21no—
1258C23—21no—
1259C23—21no—
1260C23—21no—
1261C23—21no—
1262C23—21no—
1263C23—21no—
1264C23—21no—
1265C23—21no—
1266C23—21no—
1267C23—21no—
1268C23—21no—
1269C23—21no—
1270C23—21no—
1271C23—21no—
1272C23—21no—
1273C23—21no—
1274C23—21no—
1275C23—21no—
1276C23—44no—
1277C23—44no—
1278C23—44no—
1279C23—44no—
1280C23—44no—
1281C23—44no—
1282C23—44no—
1283C23—82no—
1284C23—82no—
1285C23—82no—
1286C23—82no—
1287C23—82no—
1288C23—82no—
1289C23—82no—
1290C23C2×C4×D412yes—
1291C23C2×C4×D412yes—
1292C23C4×#4112yes—
1293C23C22×M1612yes—
1294C23C22×M1612yes—
1295C23#56812yes—
1296C23C24×C411yescharacteristic
1297Q8—44no—
1298D4—28no—
1299D4—28no—
1300D4—44no—
1301D4—44no—
1302D4—44no—
1303D4—44no—
1304D4—44no—
1305D4—82no—
1306D4—82no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—28no—
1320C2×C4—21no—
1321C2×C4—21no—
1322C2×C4—21no—
1323C2×C4—21no—
1324C2×C4—21no—
1325C2×C4—21no—
1326C2×C4—21no—
1327C2×C4—21no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—22no—
1331C2×C4—22no—
1332C2×C4—22no—
1333C2×C4—22no—
1334C2×C4—22no—
1335C2×C4—22no—
1336C2×C4—22no—
1337C2×C4—22no—
1338C2×C4—22no—
1339C2×C4—22no—
1340C2×C4—22no—
1341C2×C4—22no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—21no—
1363C2×C4—21no—
1364C2×C4—21no—
1365C2×C4—21no—
1366C2×C4—21no—
1367C2×C4—21no—
1368C2×C4—21no—
1369C2×C4—21no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—44no—
1382C2×C4—44no—
1383C2×C4—44no—
1384C2×C4—44no—
1385C2×C4—44no—
1386C2×C4—44no—
1387C2×C4—44no—
1388C2×C4—44no—
1389C2×C4—44no—
1390C2×C4—44no—
1391C2×C4—44no—
1392C2×C4—44no—
1393C2×C4—41no—
1394C2×C4—41no—
1395C2×C4—41no—
1396C2×C4—41no—
1397C2×C4—41no—
1398C2×C4—41no—
1399C2×C4—41no—
1400C2×C4—41no—
1401C2×C4—41no—
1402C2×C4—41no—
1403C2×C4—41no—
1404C2×C4—41no—
1405C2×C4—82no—
1406C2×C4—82no—
1407C2×C4—82no—
1408C2×C4—82no—
1409C2×C4—82no—
1410C2×C4C2×C4×D412yes—
1411C2×C4C2×C4×D412yes—
1412C2×C4C2×C4×D412yes—
1413C2×C4C2×C4×D412yes—
1414C2×C4C4×#4112yes—
1415C2×C4C22×M1612yes—
1416C2×C4C22×M1612yes—
1417C2×C4C22×M1612yes—
1418C2×C4C22×M1612yes—
1419C2×C4C22×M1612yes—
1420C2×C4#56812yes—
1421C2×C4C23×D411yescharacteristic
1422C2×C4C22×#4111yescharacteristic
1423C2×C4C22×#4111yescharacteristic
1424C2×C4C22×#4111yescharacteristic
1425C2×C4C2×H(5,𝔽2)11yescharacteristic
1426C2×C4#58511yescharacteristic
1427C8—22no—
1428C8—22no—
1429C8—22no—
1430C8—22no—
1431C8—22no—
1432C8—22no—
1433C8—41no—
1434C8—41no—
1435C8—41no—
1436C8—41no—
1437C8—41no—
1438C8—41no—
1439C8—41no—
1440C8—41no—
1441C8—41no—
1442C8#54614yescomplemented
1443C22—22no—
1444C22—22no—
1445C22—22no—
1446C22—22no—
1447C22—22no—
1448C22—22no—
1449C22—22no—
1450C22—22no—
1451C22—22no—
1452C22—22no—
1453C22—22no—
1454C22—22no—
1455C22—22no—
1456C22—22no—
1457C22—22no—
1458C22—41no—
1459C22—41no—
1460C22—41no—
1461C22—41no—
1462C22—41no—
1463C22—41no—
1464C22—41no—
1465C22—41no—
1466C22—41no—
1467C22—41no—
1468C22—41no—
1469C22—41no—
1470C22—41no—
1471C22—41no—
1472C22—41no—
1473C22—41no—
1474C22—41no—
1475C22—41no—
1476C22—41no—
1477C22—41no—
1478C22—41no—
1479C22—41no—
1480C22—41no—
1481C22—41no—
1482C22—41no—
1483C22—41no—
1484C22—88no—
1485C22—88no—
1486C22D4×M1614yes—
1487C22C22×C4×D411yescharacteristic
1488C22C2×C4×#4111yescharacteristic
1489C22C4×H(5,𝔽2)11yescharacteristic
1490C22C23×M1611yescharacteristic
1491C22C2×#56811yescharacteristic
1492C22C2×#56811yescharacteristic
1493C22#357311yescharacteristic
1494C4—22no—
1495C4—22no—
1496C4—22no—
1497C4—22no—
1498C4—22no—
1499C4—22no—
1500C4—22no—
1501C4—22no—
1502C4—22no—
1503C4—22no—
1504C4—22no—
1505C4—41no—
1506C4—41no—
1507C4—41no—
1508C4—41no—
1509C4—41no—
1510C4—41no—
1511C4—41no—
1512C4—41no—
1513C4—41no—
1514C4—41no—
1515C4—41no—
1516C4—41no—
1517C4—41no—
1518C4C2×#54611yescharacteristic
1519C4D4×#4111yescharacteristic
1520C4#347511yescharacteristic
1521C4#348111yescharacteristic
1522C2—24no—
1523C2—42no—
1524C2—42no—
1525C2—42no—
1526C2—81no—
1527C2—81no—
1528C2C4×#54611yescharacteristic
1529C2C2×D4×M1611yescharacteristic
1530C2#6014611yescharacteristic
1531C2M16×#4111yescharacteristic
1532C2#6021611yescharacteristic
1533C2#6032411yescharacteristic
1534C2#6032511yescharacteristic
subgroupG/H
center, Frattini, cosocleC22×C4C25
commutator, socleC23C24×C4
prime radicalC2×#546C4
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
1. C2×#2965C2semidirect
2. C2×D4×M16C2semidirect
4. #23207C2semidirect
5. #23121C2semidirect
6. #23117C2semidirect
7. #23085C2semidirect
8. #22955C2semidirect
9. #22906C2semidirect
10. #22900C2semidirect
11. #22852C2semidirect
12. #22848C2semidirect
13. #22749C2semidirect
14. #22698C2semidirect
15. #22553C2semidirect
16. #22553C2semidirect
17. #22471C2semidirect
18. #22399C2semidirect
19. #21632C2semidirect
20. #21600C2semidirect
21. #21565C2semidirect
22. C8×#123C2semidirect
23. #21490C2semidirect
24. #21489C2semidirect
25. #21488C2semidirect
26. #21441C2semidirect
27. #21441C2semidirect
28. #20494C2semidirect
29. #20491C2semidirect
30. C22⋊C4×M16C2semidirect
31. C2×#1753C2semidirect
38. C2×#446C22semidirect
39. C2×#446C22semidirect
45. C2×#436C22semidirect
46. C2×#436C22semidirect
47. C2×#436C22semidirect
54. C2×#435C22semidirect
55. C2×#435C22semidirect
56. C2×#435C22semidirect
59. C2×#431C22semidirect
60. C2×#431C22semidirect
61. C2×#431C22semidirect
68. C2×C4×M16C22semidirect
69. C2×C4×M16C22semidirect
70. C2×C4×M16C22semidirect
71. C22×#97C22semidirect
72. C22×C4×C8C22semidirect
101. #1985C22semidirect
102. #1985C22semidirect
105. #1955C22semidirect
106. #1954C22semidirect
107. #1940C22semidirect
108. #1940C22semidirect
109. #1940C22semidirect
110. #1939C22semidirect
111. #1924C22semidirect
112. #1924C22semidirect
113. #1924C22semidirect
114. #1924C22semidirect
115. #1924C22semidirect
116. #1924C22semidirect
117. #1924C22semidirect
118. #1923C22semidirect
119. #1923C22semidirect
120. #1923C22semidirect
121. #1923C22semidirect
122. #1923C22semidirect
123. #1923C22semidirect
124. #1923C22semidirect
125. #1917C22semidirect
126. #1916C22semidirect
127. #1916C22semidirect
128. #1916C22semidirect
129. #1916C22semidirect
130. #1916C22semidirect
135. #1870C22semidirect
136. #1870C22semidirect
137. #1870C22semidirect
138. #1870C22semidirect
139. #1870C22semidirect
142. #1869C22semidirect
143. #1869C22semidirect
144. #1869C22semidirect
149. #1851C22semidirect
150. #1851C22semidirect
151. #1851C22semidirect
152. #1850C22semidirect
153. #1850C22semidirect
154. #1850C22semidirect
155. #1831C22semidirect
156. #1817C22semidirect
157. #1817C22semidirect
159. #1797C22semidirect
160. #1797C22semidirect
161. #1797C22semidirect
164. #1771C22semidirect
165. #1771C22semidirect
166. #1771C22semidirect
167. C8×C4⋊C4C22semidirect
168. C8×C4⋊C4C22semidirect
169. C8×C4⋊C4C22semidirect
170. #1767C22semidirect
171. #1767C22semidirect
180. #1753C22semidirect
181. #1753C22semidirect
182. #1753C22semidirect
183. #1753C22semidirect
184. #1753C22semidirect
185. #1753C22semidirect
186. #1753C22semidirect
187. #1753C22semidirect
188. #1753C22semidirect
189. #1752C22semidirect
190. #1752C22semidirect
191. C8×C22⋊C4C22semidirect
192. C8×C22⋊C4C22semidirect
193. C8×C22⋊C4C22semidirect
194. C8×C22⋊C4C22semidirect
195. C8×C22⋊C4C22semidirect
197. #1749C22semidirect
198. #1749C22semidirect
199. #1749C22semidirect
200. #1728C22semidirect
201. #1728C22semidirect
202. C2×#336C22semidirect
203. C2×#336C22semidirect
204. C4×#97C22semidirect
302. #435D4semidirect
616. C2×M16#41semidirect
653. #123M16semidirect
846. C22⋊C8#41semidirect
1046. C22×C4C2×M16semidirect
1162. C4⋊C4C2×M16semidirect
1163. C4⋊C4C2×M16semidirect
1203. C22⋊C4C2×M16semidirect
1204. C22⋊C4C2×M16semidirect
1205. C22⋊C4C2×M16semidirect
1442. C8#546semidirect

Maximal subgroups

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

subgroupindex
C2×#29652
C2×D4×M162
C4×#5462
#232072
#231212
#231172
#230852
#229552
#229062
#229002
#228522
#228482
#227492
#226982
#225532
#224712
#223992
#216322
#216002
#215652
C8×#1232
#214902
#214892
#214882
#214412
#204942
#204912
C22⋊C4×M162
C2×#17532