Finite Group Databasebeta

← #6399666

Subgroups — #6399666

Order 512.

2460 conjugacy classes of subgroups.

The subgroup lattice has 1650 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2976C211yesmaximal, characteristic, complemented
2C2×#2929C211yesmaximal, characteristic, complemented
3#34681C211yesmaximal, characteristic
4#23174C211yesmaximal, characteristic, complemented
5#23120C211yesmaximal, characteristic, complemented
6#23118C211yesmaximal, characteristic, complemented
7#23090C211yesmaximal, characteristic, complemented
8#22992C211yesmaximal, characteristic, complemented
9#22853C211yesmaximal, characteristic, complemented
10#22848C211yesmaximal, characteristic, complemented
11#22848C211yesmaximal, characteristic, complemented
12#22847C211yesmaximal, characteristic, complemented
13#22756C211yesmaximal, characteristic, complemented
14#22698C211yesmaximal, characteristic, complemented
15#22402C211yesmaximal, characteristic, complemented
16#22401C211yesmaximal, characteristic, complemented
17#22398C211yesmaximal, characteristic, complemented
18#22398C211yesmaximal, characteristic, complemented
19#22262C211yesmaximal, characteristic, complemented
20#22172C211yesmaximal, characteristic, complemented
21#22168C211yesmaximal, characteristic, complemented
22#22134C211yesmaximal, characteristic, complemented
23#22029C211yesmaximal, characteristic, complemented
24#22028C211yesmaximal, characteristic, complemented
25#21494C211yesmaximal, characteristic, complemented
26#21445C211yesmaximal, characteristic, complemented
27C8×#120C211yesmaximal, characteristic, complemented
28#21110C211yesmaximal, characteristic, complemented
29#20900C211yesmaximal, characteristic, complemented
30C2×#1869C211yesmaximal, characteristic, complemented
31#20555C211yesmaximal, characteristic, complemented
32C22×#131C2211yescharacteristic, complemented
33C24×C8C2211yescharacteristic
34C2×#532C2211yescharacteristic
35C2×#525C2211yescharacteristic
36C2×#525C2211yescharacteristic
37C22×C4×D4C2211yescharacteristic
38#2976—28no—
39#2929—28no—
40C2×#436C2211yescharacteristic
41C2×#436C2211yescharacteristic
42C2×#436C2211yescharacteristic, complemented
43C2×#436C2211yescharacteristic, complemented
44C2×#436C2211yescharacteristic, complemented
45C2×#436C2211yescharacteristic, complemented
46C2×#435C2211yescharacteristic
47C2×#435C2211yescharacteristic
48C2×#435C2211yescharacteristic
49C2×#435C2211yescharacteristic
50C2×#435C2211yescharacteristic, complemented
51C2×#435C2211yescharacteristic, complemented
52C2×#435C2211yescharacteristic, complemented
53C2×#435C2211yescharacteristic, complemented
54C2×C8×D4C2211yescharacteristic
55C2×C8×D4C2211yescharacteristic
56C2×C8×D4C2211yescharacteristic
57C2×C8×D4C2211yescharacteristic
58C2×C8×D4C2211yescharacteristic, complemented
59C2×C8×D4C2211yescharacteristic, complemented
60C2×C8×D4C2211yescharacteristic, complemented
61C2×C8×D4C2211yescharacteristic, complemented
62C2×#433C2211yescharacteristic, complemented
63C2×#433C2211yescharacteristic, complemented
64C2×#424C2211yescharacteristic, complemented
65C2×#408C2211yescharacteristic, complemented
66C2×#408C2211yescharacteristic, complemented
67C2×#408C2211yescharacteristic, complemented
68C2×#408C2211yescharacteristic, complemented
69C2×#408C2211yescharacteristic, complemented
70C2×#407C2211yescharacteristic
71C2×#407C2211yescharacteristic
72C22×C22⋊C8C2211yescharacteristic
73C22×C22⋊C8C2211yescharacteristic
74C22×C22⋊C8C2211yescharacteristic
75C2×#405C2211yescharacteristic, complemented
76#2472C411yescharacteristic
77#2472C411yescharacteristic
78#2464C411yescharacteristic
79#2464C411yescharacteristic
80#2461C411yescharacteristic
81#2461C411yescharacteristic
82#2452C411yescharacteristic
83#2445C411yescharacteristic
84#2440C411yescharacteristic
85#2433C411yescharacteristic
86#2428C411yescharacteristic
87#2424C411yescharacteristic
88#2424C411yescharacteristic
89#2422C411yescharacteristic
90#2416C411yescharacteristic
91#2408C411yescharacteristic
92#2392C2211yescharacteristic
93#2392C2211yescharacteristic
94#2388C2211yescharacteristic
95#2388C2211yescharacteristic
96C4×#127C2211yescharacteristic
97C4×#121C2211yescharacteristic
98C4×#121C2211yescharacteristic
99C4×#120C2211yescharacteristic
100C4×#120C2211yescharacteristic
101#2293C2211yescharacteristic
102C42×D4C2211yescharacteristic
103#1955C2211yescharacteristic, complemented
104#1955C2211yescharacteristic, complemented
105#1954C2211yescharacteristic
106#1954C2211yescharacteristic
107#1954C2211yescharacteristic, complemented
108#1954C2211yescharacteristic, complemented
109#1954C2211yescharacteristic, complemented
110#1954C2211yescharacteristic, complemented
111#1954C2211yescharacteristic, complemented
112#1954C2211yescharacteristic, complemented
113#1940C2211yescharacteristic, complemented
114#1940C2211yescharacteristic, complemented
115#1924C2211yescharacteristic, complemented
116#1924C2211yescharacteristic, complemented
117#1923C2211yescharacteristic, complemented
118#1923C2211yescharacteristic, complemented
119#1923C2211yescharacteristic, complemented
120#1923C2211yescharacteristic, complemented
121#1923C2211yescharacteristic, complemented
122#1923C2211yescharacteristic, complemented
123#1923C2211yescharacteristic, complemented
124#1923C2211yescharacteristic, complemented
125#1923C2211yescharacteristic, complemented
126#1923C2211yescharacteristic, complemented
127#1917C2211yescharacteristic, complemented
128#1917C2211yescharacteristic, 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#1870C2211yescharacteristic, complemented
141#1870C2211yescharacteristic, complemented
142#1870C2211yescharacteristic, complemented
143#1869C2211yescharacteristic
144#1869C2211yescharacteristic
145#1869C2211yescharacteristic
146#1869C2211yescharacteristic
147#1869C2211yescharacteristic
148#1869C2211yescharacteristic
149#1869C2211yescharacteristic
150#1869C2211yescharacteristic
151#1869C2211yescharacteristic
152#1869C2211yescharacteristic
153#1869C2211yescharacteristic
154#1869C2211yescharacteristic
155#1869C2211yescharacteristic, complemented
156#1869C2211yescharacteristic, complemented
157#1869C2211yescharacteristic, complemented
158#1869C2211yescharacteristic, complemented
159#1869C2211yescharacteristic, complemented
160#1869C2211yescharacteristic, complemented
161#1869C2211yescharacteristic, complemented
162#1869C2211yescharacteristic, complemented
163#1851C2211yescharacteristic, complemented
164#1851C2211yescharacteristic, complemented
165#1851C2211yescharacteristic, complemented
166#1851C2211yescharacteristic, complemented
167#1850C2211yescharacteristic
168#1850C2211yescharacteristic
169#1850C2211yescharacteristic, complemented
170#1850C2211yescharacteristic, complemented
171#1850C2211yescharacteristic, complemented
172#1850C2211yescharacteristic, complemented
173#1831C2211yescharacteristic, complemented
174#1798C2211yescharacteristic, complemented
175#1798C2211yescharacteristic, complemented
176#1797C2211yescharacteristic
177#1797C2211yescharacteristic, complemented
178#1780C2211yescharacteristic, complemented
179#1780C2211yescharacteristic, complemented
180#1779C2211yescharacteristic
181#1779C2211yescharacteristic
182C8×C4⋊C4C2211yescharacteristic, complemented
183C8×C4⋊C4C2211yescharacteristic, complemented
184#1767C2211yescharacteristic, complemented
185C4×C4⋊C8C2211yescharacteristic, complemented
186#1753C2211yescharacteristic, complemented
187#1753C2211yescharacteristic, complemented
188#1753C2211yescharacteristic, complemented
189#1753C2211yescharacteristic, complemented
190C8×C22⋊C4C2211yescharacteristic
191C8×C22⋊C4C2211yescharacteristic
192C8×C22⋊C4C2211yescharacteristic, complemented
193C8×C22⋊C4C2211yescharacteristic, complemented
194C8×C22⋊C4C2211yescharacteristic, complemented
195C8×C22⋊C4C2211yescharacteristic, complemented
196#1750C2211yescharacteristic, complemented
197#1750C2211yescharacteristic, complemented
198C4×C22⋊C8C2211yescharacteristic
199C4×C22⋊C8C2211yescharacteristic, complemented
200#1744C2211yescharacteristic, complemented
201#1728C2211yescharacteristic, complemented
202C2×#336C2211yescharacteristic
203C2×#336C2211yescharacteristic
204C2×#336C2211yescharacteristic, complemented
205C22×#41C2311yescharacteristic
206C22×#41C2311yescharacteristic
207C23×D4C2×C411yescharacteristic
208C24×C4C2311yescharacteristic
209C24×C4C2311yescharacteristic
210C2×#131—24no—
211C2×#131—42no—
212C2×#131—42no—
213C22×M16C2311yescharacteristic
214C22×M16C2311yescharacteristic
215C22×M16C2311yescharacteristic
216C22×M16C2311yescharacteristic
217C22×M16C2311yescharacteristic
218C22×M16C2311yescharacteristic
219C22×M16C2311yescharacteristic
220C22×M16C2311yescharacteristic
221C23×C8—24no—
222C23×C8—42no—
223C23×C8—42no—
224C23×C8C2311yescharacteristic
225C23×C8C2311yescharacteristic
226C23×C8C2311yescharacteristic
227C23×C8C2311yescharacteristic
228C23×C8C2311yescharacteristic
229C23×C8C2311yescharacteristic
230C23×C8C2311yescharacteristic
231C23×C8C2311yescharacteristic
232C23×C8C2311yescharacteristic
233C23×C8C2311yescharacteristic
234C23×C8C2311yescharacteristic
235C23×C8C2311yescharacteristic
236#532—42no—
237#532—42no—
238C2×C4⋊Q8C2×C411yescharacteristic
239C2×#127C2×C411yescharacteristic
240C2×#127C2×C411yescharacteristic
241C2×#124C2×C411yescharacteristic
242C2×#124C2×C411yescharacteristic
243#525—24no—
244#525—24no—
245#525—24no—
246#525—24no—
247C2×#123C2×C411yescharacteristic
248C2×#123C2×C411yescharacteristic
249C2×#123C2×C411yescharacteristic
250C2×#123C2×C411yescharacteristic
251C2×C22⋊Q8C2×C411yescharacteristic
252C2×C22⋊Q8C2×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×D4—42no—
272C2×C4×D4—42no—
273C2×C4×D4C2×C411yescharacteristic
274C2×C4×D4C2×C411yescharacteristic
275C2×C4×D4C2×C411yescharacteristic
276C2×C4×D4C2×C411yescharacteristic
277C2×C4×D4C2×C411yescharacteristic
278C2×C4×D4C2×C411yescharacteristic
279C2×C4×D4C2311yescharacteristic
280C2×C4×D4C2311yescharacteristic
281C2×C4×D4C2311yescharacteristic
282C2×C4×D4C2311yescharacteristic
283C2×C4×D4C2311yescharacteristic
284C2×C4×D4C2311yescharacteristic
285C2×C4×D4C2311yescharacteristic
286C2×C4×D4C2311yescharacteristic
287C2×C4×D4C2311yescharacteristic
288C2×C4×D4C2311yescharacteristic
289C2×C4×D4C2311yescharacteristic
290C2×C4×D4C2311yescharacteristic
291C2×C4×D4C2311yescharacteristic
292C2×C4×D4C2311yescharacteristic
293C2×C4×D4C2311yescharacteristic
294C2×C4×D4C2311yescharacteristic
295C2×#117C2311yescharacteristic
296C2×#117C2311yescharacteristic
297C22×C4⋊C4C2×C411yescharacteristic
298C22×C22⋊C4C2×C411yescharacteristic
299C22×C22⋊C4C2×C411yescharacteristic
300C22×C42C2311yescharacteristic
301C22×C42C2311yescharacteristic
302#436—24no—
303#436—24no—
304#436—42no—
305#436—42no—
306#436—42no—
307#436—42no—
308#435—24no—
309#435—24no—
310#435—24no—
311#435—24no—
312#435—24no—
313#435—24no—
314#435—24no—
315#435—24no—
316C8×D4—24no—
317C8×D4—24no—
318C8×D4—24no—
319C8×D4—24no—
320C8×D4—24no—
321C8×D4—42no—
322C8×D4—42no—
323C8×D4D418yescomplemented
324#433—24no—
325#433—24no—
326#424—24no—
327C2×C4⋊C8C2311yescharacteristic
328C2×C4⋊C8C2311yescharacteristic
329C2×C4⋊C8C2311yescharacteristic
330C2×C4⋊C8C2311yescharacteristic
331C2×C4⋊C8C2311yescharacteristic
332C2×C4⋊C8C2311yescharacteristic
333C2×C4⋊C8C2311yescharacteristic
334C2×C4⋊C8C2311yescharacteristic
335C2×C4⋊C8C2311yescharacteristic
336C2×C4⋊C8C2311yescharacteristic
337C2×C4⋊C8C2311yescharacteristic
338C2×C4⋊C8C2311yescharacteristic
339C2×C4⋊C8C2311yescharacteristic
340C2×C4⋊C8C2311yescharacteristic
341#408—24no—
342#408—24no—
343#408—24no—
344#408—42no—
345#408—42no—
346#407—24no—
347#407—24no—
348C2×C22⋊C8—24no—
349C2×C22⋊C8—42no—
350C2×C22⋊C8—42no—
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×C22⋊C8C2311yescharacteristic
385C2×C22⋊C8C2311yescharacteristic
386C2×C22⋊C8C2311yescharacteristic
387C2×C22⋊C8C2311yescharacteristic
388C2×C22⋊C8C2311yescharacteristic
389C2×C22⋊C8C2311yescharacteristic
390C2×C22⋊C8C2311yescharacteristic
391C2×C22⋊C8C2311yescharacteristic
392C2×C22⋊C8C2311yescharacteristic
393C2×C22⋊C8C2311yescharacteristic
394C2×C22⋊C8C2311yescharacteristic
395#405—24no—
396C2×#97C2311yescharacteristic
397C2×#97C2311yescharacteristic
398C2×#97C2311yescharacteristic
399C2×#97C2311yescharacteristic
400C2×C4×C8C2311yescharacteristic
401C2×C4×C8C2311yescharacteristic
402C2×C4×C8C2311yescharacteristic
403C2×C4×C8C2311yescharacteristic
404C2×C4×C8C2311yescharacteristic
405C2×C4×C8C2311yescharacteristic
406C2×C4×C8C2311yescharacteristic
407C2×C4×C8C2311yescharacteristic
408C2×C4×C8C2311yescharacteristic
409C2×C4×C8C2311yescharacteristic
410#398C2×C411yescharacteristic
411#398C2×C411yescharacteristic
412#397C2×C411yescharacteristic
413#397C2×C411yescharacteristic
414#396C2×C411yescharacteristic
415#396C2×C411yescharacteristic
416#396C2×C411yescharacteristic
417#396C2×C411yescharacteristic
418#395C2×C411yescharacteristic
419#395C2×C411yescharacteristic
420#394C2×C411yescharacteristic
421#394C2×C411yescharacteristic
422#394C2×C411yescharacteristic
423#394C2×C411yescharacteristic
424#394C2×C411yescharacteristic
425#394C2×C411yescharacteristic
426#394C2×C411yescharacteristic
427#394C2×C411yescharacteristic
428#394C2×C411yescharacteristic
429#394C2×C411yescharacteristic
430#394C2×C411yescharacteristic
431#394C2×C411yescharacteristic
432#393C2×C411yescharacteristic
433#393C2×C411yescharacteristic
434#392C2×C411yescharacteristic
435#392C2×C411yescharacteristic
436#392C2×C411yescharacteristic
437#392C2×C411yescharacteristic
438#392C2×C411yescharacteristic
439#392C2×C411yescharacteristic
440#392C2×C411yescharacteristic
441#392C2×C411yescharacteristic
442#390C2×C411yescharacteristic
443#390C2×C411yescharacteristic
444#390C2×C411yescharacteristic
445#390C2×C411yescharacteristic
446#390C2×C411yescharacteristic
447#390C2×C411yescharacteristic
448#390C2×C411yescharacteristic
449#390C2×C411yescharacteristic
450#390C2×C411yescharacteristic
451#390C2×C411yescharacteristic
452#389C2×C411yescharacteristic
453#389C2×C411yescharacteristic
454#389C2×C411yescharacteristic
455#389C2×C411yescharacteristic
456#388C2×C411yescharacteristic
457#388C2×C411yescharacteristic
458#388C2×C411yescharacteristic
459#388C2×C411yescharacteristic
460#388C2×C411yescharacteristic
461#388C2×C411yescharacteristic
462#388C2×C411yescharacteristic
463#388C2×C411yescharacteristic
464#386C2×C411yescharacteristic
465#386C2×C411yescharacteristic
466#386C2×C411yescharacteristic
467#386C2×C411yescharacteristic
468#386C2×C411yescharacteristic
469#386C2×C411yescharacteristic
470#386C2×C411yescharacteristic
471#386C2×C411yescharacteristic
472#386C2×C411yescharacteristic
473#386C2×C411yescharacteristic
474#385C2×C411yescharacteristic
475#385C2×C411yescharacteristic
476#385C2×C411yescharacteristic
477#385C2×C411yescharacteristic
478#385C2×C411yescharacteristic
479#385C2×C411yescharacteristic
480#384C2×C411yescharacteristic
481#380C2×C411yescharacteristic
482#380C2×C411yescharacteristic
483#379C2×C411yescharacteristic
484#379C2×C411yescharacteristic
485C4×C4⋊C4C2×C411yescharacteristic
486C4×C4⋊C4C2×C411yescharacteristic
487C4×C4⋊C4C2311yescharacteristic
488C4×C4⋊C4C2311yescharacteristic
489C4×C22⋊C4C2×C411yescharacteristic
490C4×C22⋊C4C2×C411yescharacteristic
491C4×C22⋊C4C2×C411yescharacteristic
492C4×C22⋊C4C2×C411yescharacteristic
493C4×C22⋊C4C2311yescharacteristic
494C4×C22⋊C4C2311yescharacteristic
495C4×C22⋊C4C2311yescharacteristic
496C4×C22⋊C4C2311yescharacteristic
497C4×C22⋊C4C2311yescharacteristic
498C4×C22⋊C4C2311yescharacteristic
499C4×C22⋊C4C2311yescharacteristic
500C4×C22⋊C4C2311yescharacteristic
501C43C2311yescharacteristic
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
525#336C2311yescharacteristic
526#336C2311yescharacteristic
527#336C2311yescharacteristic
528#336C2311yescharacteristic
529#336C2311yescharacteristic
530C25C22×C411yescharacteristic
531C25C22×C411yescharacteristic
532C2×#41—22no—
533C2×#41—22no—
534C2×#41—22no—
535C2×#41—22no—
536C2×#41—22no—
537C2×#41—22no—
538C2×#41—41no—
539C2×#41—41no—
540C2×#41—41no—
541C2×#41—41no—
542C2×#41—41no—
543C2×#41—41no—
544C22×Q8C22×C411yescharacteristic
545C22×Q8C22×C411yescharacteristic
546C22×D4—24no—
547C22×D4—42no—
548C22×D4—42no—
549C22×D4C22×C411yescharacteristic
550C22×D4C22×C411yescharacteristic
551C22×D4C22×C411yescharacteristic
552C22×D4C22×C411yescharacteristic
553C22×D4C22×C411yescharacteristic
554C22×D4C22×C411yescharacteristic
555C22×D4C22×C411yescharacteristic
556C22×D4C22×C411yescharacteristic
557C22×D4C22×C411yescharacteristic
558C22×D4C22×C411yescharacteristic
559C22×D4C22×C411yescharacteristic
560C22×D4C22×C411yescharacteristic
561C22×D4C22×C411yescharacteristic
562C22×D4C22×C411yescharacteristic
563C22×D4C22×C411yescharacteristic
564C22×D4C22×C411yescharacteristic
565C22×D4C22×C411yescharacteristic
566C22×D4C22×C411yescharacteristic
567C22×D4C22×C411yescharacteristic
568C22×D4C22×C411yescharacteristic
569C22×D4C22×C411yescharacteristic
570C22×D4C22×C411yescharacteristic
571C23×C4—22no—
572C23×C4—22no—
573C23×C4—22no—
574C23×C4—22no—
575C23×C4—22no—
576C23×C4—22no—
577C23×C4—41no—
578C23×C4—41no—
579C23×C4—41no—
580C23×C4—41no—
581C23×C4—41no—
582C23×C4—41no—
583C23×C4C22×C411yescharacteristic
584C23×C4C22×C411yescharacteristic
585C23×C4C22×C411yescharacteristic
586C23×C4C22×C411yescharacteristic
587C23×C4C22×C411yescharacteristic
588C23×C4C22×C411yescharacteristic
589C23×C4C22×C411yescharacteristic
590C23×C4C22×C411yescharacteristic
591C23×C4C22×C411yescharacteristic
592C23×C4C22×C411yescharacteristic
593C23×C4C2411yescharacteristic
594C23×C4C2411yescharacteristic
595C23×C4C2411yescharacteristic
596C23×C4C2411yescharacteristic
597C23×C4C2411yescharacteristic
598C23×C4C2411yescharacteristic
599C23×C4C2411yescharacteristic
600C23×C4C2411yescharacteristic
601#131—416no—
602C2×M16—22no—
603C2×M16—22no—
604C2×M16—22no—
605C2×M16—22no—
606C2×M16—22no—
607C2×M16—22no—
608C2×M16—22no—
609C2×M16—22no—
610C2×M16—22no—
611C2×M16—22no—
612C2×M16—22no—
613C2×M16—22no—
614C2×M16—41no—
615C2×M16—41no—
616C2×M16—41no—
617C2×M16—41no—
618C2×M16—41no—
619C2×M16—41no—
620C2×M16—41no—
621C2×M16—41no—
622C2×M16—41no—
623C2×M16—41no—
624C2×M16—41no—
625C2×M16—41no—
626C22×C8—22no—
627C22×C8—22no—
628C22×C8—22no—
629C22×C8—22no—
630C22×C8—22no—
631C22×C8—22no—
632C22×C8—22no—
633C22×C8—22no—
634C22×C8—22no—
635C22×C8—22no—
636C22×C8—22no—
637C22×C8—22no—
638C22×C8—22no—
639C22×C8—22no—
640C22×C8—22no—
641C22×C8—41no—
642C22×C8—41no—
643C22×C8—41no—
644C22×C8—41no—
645C22×C8—41no—
646C22×C8—41no—
647C22×C8—41no—
648C22×C8—41no—
649C22×C8—41no—
650C22×C8—41no—
651C22×C8—41no—
652C22×C8—41no—
653C22×C8—41no—
654C22×C8—41no—
655C22×C8—41no—
656C22×C8—41no—
657C22×C8—41no—
658C22×C8—41no—
659C22×C8—41no—
660C22×C8—416no—
661C22×C8C2×D414yes—
662C22×C8C2×D414yescomplemented
663C22×C8C2411yescharacteristic
664C22×C8C2411yescharacteristic
665C22×C8C2411yescharacteristic
666C22×C8C2411yescharacteristic
667C22×C8C2411yescharacteristic
668C22×C8C2411yescharacteristic
669C22×C8C2411yescharacteristic
670C22×C8C2411yescharacteristic
671C22×C8C2411yescharacteristic
672C22×C8C2411yescharacteristic
673C22×C8C2411yescharacteristic
674C22×C8C2411yescharacteristic
675C22×C8C2411yescharacteristic
676C22×C8C2411yescharacteristic
677C22×C8C2411yescharacteristic
678C22×C8C2411yescharacteristic
679C4⋊Q8—42no—
680#127—42no—
681#127—42no—
682#124—42no—
683#124—42no—
684#123—24no—
685#123—24no—
686#123—24no—
687#123—24no—
688C22⋊Q8—24no—
689C22⋊Q8—24no—
690C22⋊Q8—24no—
691C22⋊Q8—24no—
692#121—24no—
693#121—24no—
694#121—24no—
695#121—24no—
696#121—24no—
697#121—42no—
698#121—42no—
699#121—42no—
700#121—42no—
701#121—42no—
702#120—24no—
703#120—24no—
704#120—24no—
705#120—24no—
706#120—24no—
707#120—24no—
708C4×D4—24no—
709C4×D4—22no—
710C4×D4—22no—
711C4×D4—22no—
712C4×D4—22no—
713C4×D4—22no—
714C4×D4—22no—
715C4×D4—22no—
716C4×D4—22no—
717C4×D4—22no—
718C4×D4—22no—
719C4×D4—22no—
720C4×D4—22no—
721C4×D4—22no—
722C4×D4—22no—
723C4×D4—24no—
724C4×D4—22no—
725C4×D4—22no—
726C4×D4—22no—
727C4×D4—22no—
728C4×D4—41no—
729C4×D4—41no—
730C4×D4—41no—
731C4×D4—41no—
732C4×D4—41no—
733C4×D4—41no—
734C4×D4—41no—
735C4×D4—41no—
736C4×D4—41no—
737C4×D4—41no—
738C4×D4—41no—
739C4×D4—41no—
740C4×D4—42no—
741C4×D4—42no—
742C4×D4—42no—
743C4×D4—42no—
744C4×D4C2×D414yes—
745C4×D4#4114yes—
746#117—22no—
747#117—22no—
748#117—22no—
749#117—22no—
750C2×C4⋊C4—42no—
751C2×C4⋊C4C22×C411yescharacteristic
752C2×C4⋊C4C22×C411yescharacteristic
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×C4⋊C4C22×C411yescharacteristic
768C2×C4⋊C4C22×C411yescharacteristic
769C2×C4⋊C4C22×C411yescharacteristic
770C2×C4⋊C4C22×C411yescharacteristic
771C2×C4⋊C4C22×C411yescharacteristic
772C2×C4⋊C4C22×C411yescharacteristic
773C2×C4⋊C4C22×C411yescharacteristic
774C2×C4⋊C4C22×C411yescharacteristic
775C2×C22⋊C4—42no—
776C2×C22⋊C4—42no—
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×C22⋊C4C22×C411yescharacteristic
820C2×C22⋊C4C22×C411yescharacteristic
821C2×C22⋊C4C22×C411yescharacteristic
822C2×C22⋊C4C22×C411yescharacteristic
823C2×C22⋊C4C22×C411yescharacteristic
824C2×C22⋊C4C22×C411yescharacteristic
825C2×C22⋊C4C22×C411yescharacteristic
826C2×C22⋊C4C22×C411yescharacteristic
827C2×C22⋊C4C22×C411yescharacteristic
828C2×C22⋊C4C22×C411yescharacteristic
829C2×C42—41no—
830C2×C42—41no—
831C2×C42—41no—
832C2×C42—41no—
833C2×C42C22×C411yescharacteristic
834C2×C42C22×C411yescharacteristic
835C2×C42C22×C411yescharacteristic
836C2×C42C22×C411yescharacteristic
837C2×C42C22×C411yescharacteristic
838C2×C42C22×C411yescharacteristic
839C2×C42C22×C411yescharacteristic
840C2×C42C22×C411yescharacteristic
841C2×C42C2411yescharacteristic
842C2×C42C2411yescharacteristic
843C2×C42C2411yescharacteristic
844C2×C42C2411yescharacteristic
845C2×C42C2411yescharacteristic
846C2×C42C2411yescharacteristic
847C2×C42C2411yescharacteristic
848C4⋊C8—22no—
849C4⋊C8—22no—
850C4⋊C8—22no—
851C4⋊C8—22no—
852C4⋊C8—22no—
853C4⋊C8—22no—
854C4⋊C8—22no—
855C4⋊C8—22no—
856C4⋊C8—41no—
857C4⋊C8—41no—
858C4⋊C8—41no—
859C4⋊C8—41no—
860C4⋊C8—41no—
861C4⋊C8C2×D414yescomplemented
862C22⋊C8—22no—
863C22⋊C8—22no—
864C22⋊C8—22no—
865C22⋊C8—22no—
866C22⋊C8—22no—
867C22⋊C8—22no—
868C22⋊C8—22no—
869C22⋊C8—22no—
870C22⋊C8—22no—
871C22⋊C8—22no—
872C22⋊C8—22no—
873C22⋊C8—22no—
874C22⋊C8—22no—
875C22⋊C8—22no—
876C22⋊C8—22no—
877C22⋊C8—22no—
878C22⋊C8—22no—
879C22⋊C8—22no—
880C22⋊C8—22no—
881C22⋊C8—22no—
882C22⋊C8—22no—
883C22⋊C8—22no—
884C22⋊C8—22no—
885C22⋊C8—22no—
886C22⋊C8—22no—
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⋊C8C2×D414yes—
905C22⋊C8C2×D414yescomplemented
906#97—22no—
907#97—22no—
908#97—22no—
909#97—22no—
910C4×C8—22no—
911C4×C8—22no—
912C4×C8—22no—
913C4×C8—41no—
914C4×C8—41no—
915C4×C8—41no—
916C4×C8—41no—
917C4×C8—41no—
918C4×C8—41no—
919C4×C8C2×D414yescomplemented
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
940C24—22no—
941C24—22no—
942C24—22no—
943C24—22no—
944C24—22no—
945C24—22no—
946C24—22no—
947C24—22no—
948C24—41no—
949C24—41no—
950C24—41no—
951C24—41no—
952C24—41no—
953C24—41no—
954C24C23×C411yescharacteristic
955C24C23×C411yescharacteristic
956C24C23×C411yescharacteristic
957C24C23×C411yescharacteristic
958C24C23×C411yescharacteristic
959C24C23×C411yescharacteristic
960C24C23×C411yescharacteristic
961C24C23×C411yescharacteristic
962#41—44no—
963#41—44no—
964#41—44no—
965#41—44no—
966#41—82no—
967#41—82no—
968#41—82no—
969#41—82no—
970C2×Q8—22no—
971C2×Q8—22no—
972C2×Q8—22no—
973C2×Q8—41no—
974C2×Q8—41no—
975C2×Q8—41no—
976C2×D4—22no—
977C2×D4—22no—
978C2×D4—22no—
979C2×D4—22no—
980C2×D4—22no—
981C2×D4—22no—
982C2×D4—22no—
983C2×D4—22no—
984C2×D4—22no—
985C2×D4—22no—
986C2×D4—22no—
987C2×D4—22no—
988C2×D4—22no—
989C2×D4—22no—
990C2×D4—22no—
991C2×D4—22no—
992C2×D4—22no—
993C2×D4—22no—
994C2×D4—22no—
995C2×D4—22no—
996C2×D4—22no—
997C2×D4—22no—
998C2×D4—22no—
999C2×D4—22no—
1000C2×D4—22no—
1001C2×D4—22no—
1002C2×D4—22no—
1003C2×D4—22no—
1004C2×D4—22no—
1005C2×D4—22no—
1006C2×D4—22no—
1007C2×D4—22no—
1008C2×D4—22no—
1009C2×D4—22no—
1010C2×D4—22no—
1011C2×D4—22no—
1012C2×D4—22no—
1013C2×D4—22no—
1014C2×D4—41no—
1015C2×D4—41no—
1016C2×D4—41no—
1017C2×D4—41no—
1018C2×D4—41no—
1019C2×D4—41no—
1020C2×D4—41no—
1021C2×D4—41no—
1022C2×D4—41no—
1023C2×D4—41no—
1024C2×D4—41no—
1025C2×D4—41no—
1026C2×D4—41no—
1027C2×D4—41no—
1028C2×D4—41no—
1029C2×D4—41no—
1030C2×D4—41no—
1031C2×D4—41no—
1032C2×D4—41no—
1033C2×D4—41no—
1034C2×D4—41no—
1035C2×D4—41no—
1036C2×D4—41no—
1037C2×D4—41no—
1038C2×D4—41no—
1039C2×D4—41no—
1040C2×D4—41no—
1041C2×D4—416no—
1042C2×D4C4×D414yes—
1043C22×C4—21no—
1044C22×C4—21no—
1045C22×C4—21no—
1046C22×C4—21no—
1047C22×C4—21no—
1048C22×C4—21no—
1049C22×C4—21no—
1050C22×C4—21no—
1051C22×C4—21no—
1052C22×C4—21no—
1053C22×C4—21no—
1054C22×C4—21no—
1055C22×C4—22no—
1056C22×C4—22no—
1057C22×C4—22no—
1058C22×C4—22no—
1059C22×C4—22no—
1060C22×C4—22no—
1061C22×C4—22no—
1062C22×C4—22no—
1063C22×C4—21no—
1064C22×C4—21no—
1065C22×C4—21no—
1066C22×C4—21no—
1067C22×C4—21no—
1068C22×C4—21no—
1069C22×C4—21no—
1070C22×C4—21no—
1071C22×C4—21no—
1072C22×C4—21no—
1073C22×C4—21no—
1074C22×C4—21no—
1075C22×C4—21no—
1076C22×C4—21no—
1077C22×C4—21no—
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—21no—
1087C22×C4—21no—
1088C22×C4—21no—
1089C22×C4—21no—
1090C22×C4—21no—
1091C22×C4—21no—
1092C22×C4—21no—
1093C22×C4—22no—
1094C22×C4—22no—
1095C22×C4—22no—
1096C22×C4—22no—
1097C22×C4—41no—
1098C22×C4—41no—
1099C22×C4—41no—
1100C22×C4—41no—
1101C22×C4—41no—
1102C22×C4—44no—
1103C22×C4—44no—
1104C22×C4—44no—
1105C22×C4—44no—
1106C22×C4—41no—
1107C22×C4—41no—
1108C22×C4—41no—
1109C22×C4—41no—
1110C22×C4—41no—
1111C22×C4—41no—
1112C22×C4—41no—
1113C22×C4—41no—
1114C22×C4—41no—
1115C22×C4—41no—
1116C22×C4—41no—
1117C22×C4—41no—
1118C22×C4—82no—
1119C22×C4—82no—
1120C22×C4—82no—
1121C22×C4—82no—
1122C22×C4#13114yescomplemented
1123C22×C4C23×C411yescharacteristic
1124C22×C4C23×C411yescharacteristic
1125C22×C4C23×C411yescharacteristic
1126C22×C4C23×C411yescharacteristic
1127C22×C4C23×C411yescharacteristic
1128C22×C4C23×C411yescharacteristic
1129C22×C4C23×C411yescharacteristic
1130C22×C4C23×C411yescharacteristic
1131C22×C4C23×C411yescharacteristic
1132C22×C4C23×C411yescharacteristic
1133C22×C4C23×C411yescharacteristic
1134C22×C4C23×C411yescharacteristic
1135C22×C4C23×C411yescharacteristic
1136C22×C4C23×C411yescharacteristic
1137C22×C4C23×C411yescharacteristic
1138C22×C4C23×C411yescharacteristic
1139C22×C4C23×C411yescharacteristic
1140C22×C4C23×C411yescharacteristic
1141C22×C4C23×C411yescharacteristic
1142C22×C4C23×C411yescharacteristic
1143C22×C4C23×C411yescharacteristic
1144C22×C4C23×C411yescharacteristic
1145C22×C4C22×D412yes—
1146C22×C4C22×D412yes—
1147C22×C4C2×#4112yes—
1148C22×C4C2×#4112yes—
1149C22×C4H(5,𝔽2)12yes—
1150C22×C4H(5,𝔽2)12yes—
1151C22×C4C2511yescharacteristic
1152M16—44no—
1153M16—44no—
1154M16—44no—
1155M16—44no—
1156M16—82no—
1157M16—82no—
1158M16—82no—
1159M16—82no—
1160C2×C8—28no—
1161C2×C8—21no—
1162C2×C8—21no—
1163C2×C8—21no—
1164C2×C8—21no—
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—21no—
1190C2×C8—21no—
1191C2×C8—21no—
1192C2×C8—21no—
1193C2×C8—21no—
1194C2×C8—21no—
1195C2×C8—21no—
1196C2×C8—21no—
1197C2×C8—21no—
1198C2×C8—21no—
1199C2×C8—21no—
1200C2×C8—21no—
1201C2×C8—21no—
1202C2×C8—21no—
1203C2×C8—21no—
1204C2×C8—44no—
1205C2×C8—44no—
1206C2×C8—44no—
1207C2×C8—44no—
1208C2×C8—44no—
1209C2×C8—44no—
1210C2×C8—44no—
1211C2×C8—82no—
1212C2×C8—82no—
1213C2×C8—82no—
1214C2×C8—82no—
1215C2×C8C22×D412yes—
1216C2×C8C22×D412yes—
1217C2×C8C22×D412yes—
1218C2×C8C22×D412yes—
1219C2×C8H(5,𝔽2)12yes—
1220C4⋊C4—22no—
1221C4⋊C4—22no—
1222C4⋊C4—22no—
1223C4⋊C4—22no—
1224C4⋊C4—22no—
1225C4⋊C4—22no—
1226C4⋊C4—22no—
1227C4⋊C4—22no—
1228C4⋊C4—22no—
1229C4⋊C4—22no—
1230C4⋊C4—22no—
1231C4⋊C4—22no—
1232C4⋊C4—22no—
1233C4⋊C4—22no—
1234C4⋊C4—22no—
1235C4⋊C4—22no—
1236C4⋊C4—41no—
1237C4⋊C4—41no—
1238C4⋊C4—41no—
1239C4⋊C4—41no—
1240C4⋊C4—41no—
1241C4⋊C4—41no—
1242C4⋊C4—41no—
1243C4⋊C4C4×D414yes—
1244C22⋊C4—22no—
1245C22⋊C4—22no—
1246C22⋊C4—22no—
1247C22⋊C4—22no—
1248C22⋊C4—22no—
1249C22⋊C4—22no—
1250C22⋊C4—22no—
1251C22⋊C4—22no—
1252C22⋊C4—22no—
1253C22⋊C4—22no—
1254C22⋊C4—22no—
1255C22⋊C4—22no—
1256C22⋊C4—22no—
1257C22⋊C4—22no—
1258C22⋊C4—22no—
1259C22⋊C4—22no—
1260C22⋊C4—22no—
1261C22⋊C4—22no—
1262C22⋊C4—22no—
1263C22⋊C4—22no—
1264C22⋊C4—22no—
1265C22⋊C4—22no—
1266C22⋊C4—22no—
1267C22⋊C4—22no—
1268C22⋊C4—22no—
1269C22⋊C4—22no—
1270C22⋊C4—22no—
1271C22⋊C4—22no—
1272C22⋊C4—22no—
1273C22⋊C4—22no—
1274C22⋊C4—22no—
1275C22⋊C4—22no—
1276C22⋊C4—41no—
1277C22⋊C4—41no—
1278C22⋊C4—41no—
1279C22⋊C4—41no—
1280C22⋊C4—41no—
1281C22⋊C4—41no—
1282C22⋊C4—41no—
1283C22⋊C4—41no—
1284C22⋊C4—41no—
1285C22⋊C4—41no—
1286C22⋊C4—41no—
1287C22⋊C4—41no—
1288C22⋊C4—41no—
1289C22⋊C4—41no—
1290C22⋊C4—41no—
1291C22⋊C4—41no—
1292C22⋊C4—41no—
1293C22⋊C4C4×D414yes—
1294C22⋊C4C4×D414yes—
1295C22⋊C4#13114yescomplemented
1296C42—22no—
1297C42—22no—
1298C42—21no—
1299C42—21no—
1300C42—21no—
1301C42—21no—
1302C42—21no—
1303C42—21no—
1304C42—21no—
1305C42—21no—
1306C42—21no—
1307C42—21no—
1308C42—21no—
1309C42—21no—
1310C42—41no—
1311C42—41no—
1312C42—41no—
1313C42—41no—
1314C42—41no—
1315C42—41no—
1316C42C22×D412yes—
1317C42C2×#4112yes—
1318C23—21no—
1319C23—21no—
1320C23—21no—
1321C23—21no—
1322C23—28no—
1323C23—21no—
1324C23—21no—
1325C23—21no—
1326C23—21no—
1327C23—21no—
1328C23—21no—
1329C23—21no—
1330C23—21no—
1331C23—21no—
1332C23—21no—
1333C23—21no—
1334C23—21no—
1335C23—21no—
1336C23—21no—
1337C23—21no—
1338C23—21no—
1339C23—21no—
1340C23—21no—
1341C23—21no—
1342C23—21no—
1343C23—21no—
1344C23—21no—
1345C23—21no—
1346C23—21no—
1347C23—21no—
1348C23—21no—
1349C23—21no—
1350C23—21no—
1351C23—21no—
1352C23—21no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—44no—
1370C23—44no—
1371C23—44no—
1372C23—44no—
1373C23—44no—
1374C23—44no—
1375C23—44no—
1376C23—44no—
1377C23—44no—
1378C23—82no—
1379C23—82no—
1380C23—82no—
1381C23—82no—
1382C23C2×C4×D412yes—
1383C23C2×C4×D412yes—
1384C23#51812yes—
1385C23C2×#13112yes—
1386C23C2×#13112yes—
1387C23#56812yes—
1388C23C24×C411yescharacteristic
1389Q8—44no—
1390Q8—82no—
1391D4—28no—
1392D4—44no—
1393D4—44no—
1394D4—44no—
1395D4—44no—
1396D4—44no—
1397D4—44no—
1398D4—44no—
1399D4—44no—
1400D4—44no—
1401D4—44no—
1402D4—44no—
1403D4—44no—
1404D4—44no—
1405D4—82no—
1406D4—82no—
1407D4—82no—
1408D4—82no—
1409D4—82no—
1410D4—82no—
1411D4—82no—
1412D4—82no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
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—22no—
1436C2×C4—22no—
1437C2×C4—22no—
1438C2×C4—22no—
1439C2×C4—22no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
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—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—44no—
1483C2×C4—44no—
1484C2×C4—44no—
1485C2×C4—44no—
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—41no—
1505C2×C4—41no—
1506C2×C4—82no—
1507C2×C4—82no—
1508C2×C4—82no—
1509C2×C4—82no—
1510C2×C4—82no—
1511C2×C4—82no—
1512C2×C4C2×C4×D412yes—
1513C2×C4C2×C4×D412yes—
1514C2×C4C2×C4×D412yes—
1515C2×C4C2×C4×D412yes—
1516C2×C4#51812yes—
1517C2×C4C2×#13112yes—
1518C2×C4C2×#13112yes—
1519C2×C4C2×#13112yes—
1520C2×C4C2×#13112yes—
1521C2×C4C23×D411yescharacteristic
1522C2×C4C22×#4111yescharacteristic
1523C2×C4C2×H(5,𝔽2)11yescharacteristic
1524C2×C4C2×H(5,𝔽2)11yescharacteristic
1525C2×C4C2×H(5,𝔽2)11yescharacteristic
1526C2×C4#58511yescharacteristic
1527C8—22no—
1528C8—22no—
1529C8—22no—
1530C8—22no—
1531C8—22no—
1532C8—41no—
1533C8—41no—
1534C8—41no—
1535C8—41no—
1536C8—41no—
1537C8—41no—
1538C8—41no—
1539C8—41no—
1540C8—41no—
1541C8—41no—
1542C8—41no—
1543C22—22no—
1544C22—22no—
1545C22—22no—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—22no—
1554C22—22no—
1555C22—22no—
1556C22—22no—
1557C22—22no—
1558C22—416no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—41no—
1576C22—41no—
1577C22—41no—
1578C22—41no—
1579C22—41no—
1580C22—41no—
1581C22—41no—
1582C22—41no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—88no—
1600C22#293114yes—
1601C22C22×C4×D411yescharacteristic
1602C22C2×#51811yescharacteristic
1603C22C4×H(5,𝔽2)11yescharacteristic
1604C22C22×#13111yescharacteristic
1605C22C22×#13111yescharacteristic
1606C22C2×#56811yescharacteristic
1607C22#357311yescharacteristic
1608C4—22no—
1609C4—22no—
1610C4—22no—
1611C4—22no—
1612C4—22no—
1613C4—22no—
1614C4—22no—
1615C4—22no—
1616C4—22no—
1617C4—41no—
1618C4—41no—
1619C4—41no—
1620C4—41no—
1621C4—41no—
1622C4—41no—
1623C4—41no—
1624C4—41no—
1625C4—41no—
1626C4—41no—
1627C4—41no—
1628C4—41no—
1629C4—41no—
1630C4#348411yescharacteristic
1631C4#348811yescharacteristic
1632C4#351311yescharacteristic
1633C4#351911yescharacteristic
1634C2—24no—
1635C2—42no—
1636C2—42no—
1637C2—42no—
1638C2—81no—
1639C2—81no—
1640C2—81no—
1641C2—81no—
1642C2#3429011yescharacteristic
1643C2C2×#293111yescharacteristic
1644C2#6014611yescharacteristic
1645C2#6023311yescharacteristic
1646C2#6023911yescharacteristic
1647C2#6031111yescharacteristic
1648C2#6031211yescharacteristic
subgroupG/H
center, Frattini, cosocleC22×C4C25
commutator, socleC23C24×C4
prime radical#34681C2
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×#2976C2semidirect
2. C2×#2929C2semidirect
4. #23174C2semidirect
5. #23120C2semidirect
6. #23118C2semidirect
7. #23090C2semidirect
8. #22992C2semidirect
9. #22853C2semidirect
10. #22848C2semidirect
11. #22848C2semidirect
12. #22847C2semidirect
13. #22756C2semidirect
14. #22698C2semidirect
15. #22402C2semidirect
16. #22401C2semidirect
17. #22398C2semidirect
18. #22398C2semidirect
19. #22262C2semidirect
20. #22172C2semidirect
21. #22168C2semidirect
22. #22134C2semidirect
23. #22029C2semidirect
24. #22028C2semidirect
25. #21494C2semidirect
26. #21445C2semidirect
27. C8×#120C2semidirect
28. #21110C2semidirect
29. #20900C2semidirect
30. C2×#1869C2semidirect
31. #20555C2semidirect
32. C22×#131C22semidirect
42. C2×#436C22semidirect
43. C2×#436C22semidirect
44. C2×#436C22semidirect
45. C2×#436C22semidirect
50. C2×#435C22semidirect
51. C2×#435C22semidirect
52. C2×#435C22semidirect
53. C2×#435C22semidirect
58. C2×C8×D4C22semidirect
59. C2×C8×D4C22semidirect
60. C2×C8×D4C22semidirect
61. C2×C8×D4C22semidirect
62. C2×#433C22semidirect
63. C2×#433C22semidirect
64. C2×#424C22semidirect
65. C2×#408C22semidirect
66. C2×#408C22semidirect
67. C2×#408C22semidirect
68. C2×#408C22semidirect
69. C2×#408C22semidirect
75. C2×#405C22semidirect
103. #1955C22semidirect
104. #1955C22semidirect
107. #1954C22semidirect
108. #1954C22semidirect
109. #1954C22semidirect
110. #1954C22semidirect
111. #1954C22semidirect
112. #1954C22semidirect
113. #1940C22semidirect
114. #1940C22semidirect
115. #1924C22semidirect
116. #1924C22semidirect
117. #1923C22semidirect
118. #1923C22semidirect
119. #1923C22semidirect
120. #1923C22semidirect
121. #1923C22semidirect
122. #1923C22semidirect
123. #1923C22semidirect
124. #1923C22semidirect
125. #1923C22semidirect
126. #1923C22semidirect
127. #1917C22semidirect
128. #1917C22semidirect
129. #1916C22semidirect
130. #1916C22semidirect
135. #1870C22semidirect
136. #1870C22semidirect
137. #1870C22semidirect
138. #1870C22semidirect
139. #1870C22semidirect
140. #1870C22semidirect
141. #1870C22semidirect
142. #1870C22semidirect
155. #1869C22semidirect
156. #1869C22semidirect
157. #1869C22semidirect
158. #1869C22semidirect
159. #1869C22semidirect
160. #1869C22semidirect
161. #1869C22semidirect
162. #1869C22semidirect
163. #1851C22semidirect
164. #1851C22semidirect
165. #1851C22semidirect
166. #1851C22semidirect
169. #1850C22semidirect
170. #1850C22semidirect
171. #1850C22semidirect
172. #1850C22semidirect
173. #1831C22semidirect
174. #1798C22semidirect
175. #1798C22semidirect
177. #1797C22semidirect
178. #1780C22semidirect
179. #1780C22semidirect
182. C8×C4⋊C4C22semidirect
183. C8×C4⋊C4C22semidirect
184. #1767C22semidirect
185. C4×C4⋊C8C22semidirect
186. #1753C22semidirect
187. #1753C22semidirect
188. #1753C22semidirect
189. #1753C22semidirect
192. C8×C22⋊C4C22semidirect
193. C8×C22⋊C4C22semidirect
194. C8×C22⋊C4C22semidirect
195. C8×C22⋊C4C22semidirect
196. #1750C22semidirect
197. #1750C22semidirect
199. C4×C22⋊C8C22semidirect
200. #1744C22semidirect
201. #1728C22semidirect
204. C2×#336C22semidirect
323. C8×D4D4semidirect
662. C22×C8C2×D4semidirect
861. C4⋊C8C2×D4semidirect
905. C22⋊C8C2×D4semidirect
919. C4×C8C2×D4semidirect
1122. C22×C4#131semidirect
1295. C22⋊C4#131semidirect

Maximal subgroups

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

subgroupindex
C2×#29762
C2×#29292
#346812
#231742
#231202
#231182
#230902
#229922
#228532
#228482
#228472
#227562
#226982
#224022
#224012
#223982
#222622
#221722
#221682
#221342
#220292
#220282
#214942
#214452
C8×#1202
#211102
#209002
C2×#18692
#205552