Finite Group Databasebeta

← #6404060

Subgroups — #6404060

Order 512.

2323 conjugacy classes of subgroups.

The subgroup lattice has 1644 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2977C211yesmaximal, characteristic, complemented
2C2×#2976C211yesmaximal, characteristic, complemented
3#34681C211yesmaximal, characteristic
4#23174C211yesmaximal, characteristic, complemented
5#23092C211yesmaximal, characteristic, complemented
6#23089C211yesmaximal, characteristic, complemented
7#22987C211yesmaximal, characteristic, complemented
8#22987C211yesmaximal, characteristic, complemented
9#22849C211yesmaximal, characteristic, complemented
10#22848C211yesmaximal, characteristic, complemented
11#22843C211yesmaximal, characteristic, complemented
12#22842C211yesmaximal, characteristic, complemented
13#22798C211yesmaximal, characteristic, complemented
14D4×C4⋊C8C211yesmaximal, characteristic, complemented
15#22403C211yesmaximal, characteristic, complemented
16#22399C211yesmaximal, characteristic, complemented
17#22398C211yesmaximal, characteristic, complemented
18#22398C211yesmaximal, characteristic, complemented
19#22144C211yesmaximal, characteristic, complemented
20#22142C211yesmaximal, characteristic, complemented
21#22039C211yesmaximal, characteristic, complemented
22#22037C211yesmaximal, characteristic, complemented
23#22032C211yesmaximal, characteristic, complemented
24#22028C211yesmaximal, characteristic, complemented
25#21682C211yesmaximal, characteristic, complemented
26#21490C211yesmaximal, characteristic, complemented
27#21489C211yesmaximal, characteristic, complemented
28#21269C211yesmaximal, characteristic, complemented
29#21189C211yesmaximal, characteristic, complemented
30C2×#1955C211yesmaximal, characteristic, complemented
31#20491C211yesmaximal, characteristic, complemented
32C2×#532C2211yescharacteristic
33C2×#525C2211yescharacteristic
34C2×#525C2211yescharacteristic
35C22×C4×D4C2211yescharacteristic
36#2977—28no—
37#2976—28no—
38C2×#436C2211yescharacteristic, complemented
39C2×#436C2211yescharacteristic, complemented
40C2×#436C2211yescharacteristic, complemented
41C2×#435C2211yescharacteristic
42C2×#435C2211yescharacteristic
43C2×#435C2211yescharacteristic
44C2×#435C2211yescharacteristic
45C2×#435C2211yescharacteristic
46C2×#435C2211yescharacteristic
47C2×#435C2211yescharacteristic, complemented
48C2×#435C2211yescharacteristic, complemented
49C2×#435C2211yescharacteristic, complemented
50C2×#435C2211yescharacteristic, complemented
51C2×#435C2211yescharacteristic, complemented
52C2×#435C2211yescharacteristic, complemented
53C2×C8×D4C2211yescharacteristic
54C2×C8×D4C2211yescharacteristic
55C2×C8×D4C2211yescharacteristic
56C2×C8×D4C2211yescharacteristic
57C2×C8×D4C2211yescharacteristic, complemented
58C2×C8×D4C2211yescharacteristic, complemented
59C2×C8×D4C2211yescharacteristic, complemented
60C2×#433C2211yescharacteristic, complemented
61C2×#433C2211yescharacteristic, complemented
62C2×#433C2211yescharacteristic, complemented
63C2×#433C2211yescharacteristic, complemented
64C22×C4⋊C8C2211yescharacteristic
65C22×C4⋊C8C2211yescharacteristic, complemented
66C2×#408C2211yescharacteristic, complemented
67C2×#408C2211yescharacteristic, complemented
68C2×#408C2211yescharacteristic, complemented
69C2×#408C2211yescharacteristic, complemented
70C2×#408C2211yescharacteristic, complemented
71C2×#408C2211yescharacteristic, complemented
72C2×#407C2211yescharacteristic
73C22×C22⋊C8C2211yescharacteristic
74C22×C22⋊C8C2211yescharacteristic
75C22×C22⋊C8C2211yescharacteristic
76C22×C22⋊C8C2211yescharacteristic
77C22×C22⋊C8C2211yescharacteristic
78C2×C4×M16C2211yescharacteristic, complemented
79C22×#97C2211yescharacteristic
80#2472C411yescharacteristic
81#2472C411yescharacteristic
82#2464C411yescharacteristic
83#2464C411yescharacteristic
84#2461C411yescharacteristic
85#2461C411yescharacteristic
86#2452C411yescharacteristic
87#2445C411yescharacteristic
88#2440C411yescharacteristic
89#2433C411yescharacteristic
90#2428C411yescharacteristic
91#2424C411yescharacteristic
92#2424C411yescharacteristic
93#2422C411yescharacteristic
94#2416C411yescharacteristic
95#2408C411yescharacteristic
96#2392C2211yescharacteristic
97#2392C2211yescharacteristic
98#2388C2211yescharacteristic
99#2388C2211yescharacteristic
100C4×#127C2211yescharacteristic
101C4×#121C2211yescharacteristic
102C4×#121C2211yescharacteristic
103C4×#120C2211yescharacteristic
104C4×#120C2211yescharacteristic
105#2293C2211yescharacteristic
106C42×D4C2211yescharacteristic
107#1955C2211yescharacteristic
108#1955C2211yescharacteristic
109#1955C2211yescharacteristic
110#1955C2211yescharacteristic
111#1955C2211yescharacteristic
112#1955C2211yescharacteristic
113#1955C2211yescharacteristic
114#1955C2211yescharacteristic
115#1955C2211yescharacteristic
116#1955C2211yescharacteristic
117#1955C2211yescharacteristic, complemented
118#1955C2211yescharacteristic, complemented
119#1955C2211yescharacteristic, complemented
120#1955C2211yescharacteristic, complemented
121#1954C2211yescharacteristic, complemented
122#1954C2211yescharacteristic, complemented
123#1954C2211yescharacteristic, complemented
124#1954C2211yescharacteristic, complemented
125#1954C2211yescharacteristic, complemented
126#1954C2211yescharacteristic, complemented
127#1954C2211yescharacteristic, complemented
128#1954C2211yescharacteristic, complemented
129#1940C2211yescharacteristic, complemented
130#1940C2211yescharacteristic, complemented
131#1939C2211yescharacteristic, complemented
132#1939C2211yescharacteristic, complemented
133#1924C2211yescharacteristic, complemented
134#1924C2211yescharacteristic, complemented
135#1924C2211yescharacteristic, complemented
136#1924C2211yescharacteristic, complemented
137#1924C2211yescharacteristic, complemented
138#1924C2211yescharacteristic, complemented
139#1923C2211yescharacteristic, complemented
140#1923C2211yescharacteristic, complemented
141#1923C2211yescharacteristic, complemented
142#1923C2211yescharacteristic, complemented
143#1923C2211yescharacteristic, complemented
144#1923C2211yescharacteristic, complemented
145#1923C2211yescharacteristic, complemented
146#1923C2211yescharacteristic, complemented
147#1923C2211yescharacteristic, complemented
148#1923C2211yescharacteristic, complemented
149#1870C2211yescharacteristic
150#1870C2211yescharacteristic
151#1870C2211yescharacteristic, complemented
152#1870C2211yescharacteristic, complemented
153#1870C2211yescharacteristic, complemented
154#1870C2211yescharacteristic, complemented
155#1870C2211yescharacteristic, complemented
156#1870C2211yescharacteristic, complemented
157#1869C2211yescharacteristic
158#1869C2211yescharacteristic
159#1869C2211yescharacteristic
160#1869C2211yescharacteristic
161#1869C2211yescharacteristic
162#1869C2211yescharacteristic
163#1869C2211yescharacteristic, complemented
164#1869C2211yescharacteristic, complemented
165#1869C2211yescharacteristic, complemented
166#1869C2211yescharacteristic, complemented
167#1869C2211yescharacteristic, complemented
168#1869C2211yescharacteristic, complemented
169#1851C2211yescharacteristic, complemented
170#1851C2211yescharacteristic, complemented
171#1850C2211yescharacteristic
172#1850C2211yescharacteristic
173#1850C2211yescharacteristic, complemented
174#1850C2211yescharacteristic, complemented
175#1850C2211yescharacteristic, complemented
176#1850C2211yescharacteristic, complemented
177#1842C2211yescharacteristic, complemented
178#1798C2211yescharacteristic, complemented
179#1798C2211yescharacteristic, complemented
180#1797C2211yescharacteristic
181#1797C2211yescharacteristic, complemented
182#1780C2211yescharacteristic, complemented
183#1780C2211yescharacteristic, complemented
184#1779C2211yescharacteristic
185#1779C2211yescharacteristic
186#1771C2211yescharacteristic, complemented
187#1771C2211yescharacteristic, complemented
188#1771C2211yescharacteristic, complemented
189#1771C2211yescharacteristic, complemented
190#1767C2211yescharacteristic, complemented
191C4×C4⋊C8C2211yescharacteristic, complemented
192#1753C2211yescharacteristic, complemented
193#1753C2211yescharacteristic, complemented
194#1753C2211yescharacteristic, complemented
195#1753C2211yescharacteristic, complemented
196#1752C2211yescharacteristic, complemented
197C8×C22⋊C4C2211yescharacteristic
198C8×C22⋊C4C2211yescharacteristic
199C8×C22⋊C4C2211yescharacteristic, complemented
200#1750C2211yescharacteristic, complemented
201#1750C2211yescharacteristic, complemented
202#1749C2211yescharacteristic
203#1749C2211yescharacteristic, complemented
204C4×#97C2211yescharacteristic, complemented
205C22×#41C2311yescharacteristic
206C22×#41C2311yescharacteristic
207C23×D4C2×C411yescharacteristic
208C24×C4C2311yescharacteristic
209C24×C4C2311yescharacteristic
210C22×M16C2311yescharacteristic
211C22×M16C2311yescharacteristic
212C22×M16C2311yescharacteristic
213C22×M16C2311yescharacteristic
214C22×M16C2311yescharacteristic
215C22×M16C2311yescharacteristic
216C23×C8C2311yescharacteristic
217C23×C8C2311yescharacteristic
218C23×C8C2311yescharacteristic
219C23×C8C2311yescharacteristic
220C23×C8C2311yescharacteristic
221C23×C8C2311yescharacteristic
222C23×C8C2311yescharacteristic
223C23×C8C2311yescharacteristic
224C23×C8C2311yescharacteristic
225C23×C8C2311yescharacteristic
226#532—42no—
227#532—42no—
228C2×C4⋊Q8C2×C411yescharacteristic
229C2×#127C2×C411yescharacteristic
230C2×#127C2×C411yescharacteristic
231C2×#124C2×C411yescharacteristic
232C2×#124C2×C411yescharacteristic
233#525—24no—
234#525—24no—
235#525—24no—
236#525—24no—
237C2×#123C2×C411yescharacteristic
238C2×#123C2×C411yescharacteristic
239C2×#123C2×C411yescharacteristic
240C2×#123C2×C411yescharacteristic
241C2×C22⋊Q8C2×C411yescharacteristic
242C2×C22⋊Q8C2×C411yescharacteristic
243C2×C22⋊Q8C2×C411yescharacteristic
244C2×C22⋊Q8C2×C411yescharacteristic
245C2×#121C2×C411yescharacteristic
246C2×#121C2×C411yescharacteristic
247C2×#121C2×C411yescharacteristic
248C2×#121C2×C411yescharacteristic
249C2×#121C2×C411yescharacteristic
250C2×#121C2×C411yescharacteristic
251C2×#121C2×C411yescharacteristic
252C2×#121C2×C411yescharacteristic
253C2×#121C2×C411yescharacteristic
254C2×#121C2×C411yescharacteristic
255C2×#120C2×C411yescharacteristic
256C2×#120C2×C411yescharacteristic
257C2×#120C2×C411yescharacteristic
258C2×#120C2×C411yescharacteristic
259C2×#120C2×C411yescharacteristic
260C2×#120C2×C411yescharacteristic
261C2×C4×D4—42no—
262C2×C4×D4—42no—
263C2×C4×D4C2×C411yescharacteristic
264C2×C4×D4C2×C411yescharacteristic
265C2×C4×D4C2×C411yescharacteristic
266C2×C4×D4C2×C411yescharacteristic
267C2×C4×D4C2×C411yescharacteristic
268C2×C4×D4C2×C411yescharacteristic
269C2×C4×D4C2311yescharacteristic
270C2×C4×D4C2311yescharacteristic
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×C4×D4C2311yescharacteristic
284C2×C4×D4C2311yescharacteristic
285C2×#117C2311yescharacteristic
286C2×#117C2311yescharacteristic
287C22×C4⋊C4C2×C411yescharacteristic
288C22×C22⋊C4C2×C411yescharacteristic
289C22×C22⋊C4C2×C411yescharacteristic
290C22×C42C2311yescharacteristic
291C22×C42C2311yescharacteristic
292#436—24no—
293#436—24no—
294#436—42no—
295#435—24no—
296#435—24no—
297#435—24no—
298#435—24no—
299#435—24no—
300#435—24no—
301#435—24no—
302#435—42no—
303#435—42no—
304#435—42no—
305#435—42no—
306#435D418yescomplemented
307C8×D4—24no—
308C8×D4—24no—
309C8×D4—24no—
310C8×D4—24no—
311C8×D4—24no—
312C8×D4—24no—
313C8×D4—42no—
314#433—24no—
315#433—24no—
316#433—24no—
317#433—24no—
318C2×C4⋊C8—42no—
319C2×C4⋊C8—42no—
320C2×C4⋊C8C2311yescharacteristic
321C2×C4⋊C8C2311yescharacteristic
322C2×C4⋊C8C2311yescharacteristic
323C2×C4⋊C8C2311yescharacteristic
324C2×C4⋊C8C2311yescharacteristic
325C2×C4⋊C8C2311yescharacteristic
326C2×C4⋊C8C2311yescharacteristic
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
338#408—24no—
339#408—24no—
340#408—24no—
341#408—24no—
342#408—42no—
343#408—42no—
344#407—24no—
345C2×C22⋊C8—24no—
346C2×C22⋊C8—24no—
347C2×C22⋊C8—24no—
348C2×C22⋊C8—42no—
349C2×C22⋊C8—42no—
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×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
395C2×C22⋊C8C2311yescharacteristic
396C2×C22⋊C8C2311yescharacteristic
397C2×C22⋊C8C2311yescharacteristic
398C4×M16—42no—
399C2×#97—42no—
400C2×#97C2311yescharacteristic
401C2×#97C2311yescharacteristic
402C2×#97C2311yescharacteristic
403C2×#97C2311yescharacteristic
404C2×#97C2311yescharacteristic
405C2×#97C2311yescharacteristic
406C2×#97C2311yescharacteristic
407C2×#97C2311yescharacteristic
408C2×#97C2311yescharacteristic
409C2×#97C2311yescharacteristic
410C2×C4×C8C2311yescharacteristic
411C2×C4×C8C2311yescharacteristic
412C2×C4×C8C2311yescharacteristic
413C2×C4×C8C2311yescharacteristic
414C2×C4×C8C2311yescharacteristic
415C2×C4×C8C2311yescharacteristic
416C2×C4×C8C2311yescharacteristic
417C2×C4×C8C2311yescharacteristic
418#398C2×C411yescharacteristic
419#398C2×C411yescharacteristic
420#397C2×C411yescharacteristic
421#397C2×C411yescharacteristic
422#396C2×C411yescharacteristic
423#396C2×C411yescharacteristic
424#396C2×C411yescharacteristic
425#396C2×C411yescharacteristic
426#395C2×C411yescharacteristic
427#395C2×C411yescharacteristic
428#394C2×C411yescharacteristic
429#394C2×C411yescharacteristic
430#394C2×C411yescharacteristic
431#394C2×C411yescharacteristic
432#394C2×C411yescharacteristic
433#394C2×C411yescharacteristic
434#394C2×C411yescharacteristic
435#394C2×C411yescharacteristic
436#394C2×C411yescharacteristic
437#394C2×C411yescharacteristic
438#394C2×C411yescharacteristic
439#394C2×C411yescharacteristic
440#393C2×C411yescharacteristic
441#393C2×C411yescharacteristic
442#392C2×C411yescharacteristic
443#392C2×C411yescharacteristic
444#392C2×C411yescharacteristic
445#392C2×C411yescharacteristic
446#392C2×C411yescharacteristic
447#392C2×C411yescharacteristic
448#392C2×C411yescharacteristic
449#392C2×C411yescharacteristic
450#390C2×C411yescharacteristic
451#390C2×C411yescharacteristic
452#390C2×C411yescharacteristic
453#390C2×C411yescharacteristic
454#390C2×C411yescharacteristic
455#390C2×C411yescharacteristic
456#390C2×C411yescharacteristic
457#390C2×C411yescharacteristic
458#390C2×C411yescharacteristic
459#390C2×C411yescharacteristic
460#389C2×C411yescharacteristic
461#389C2×C411yescharacteristic
462#389C2×C411yescharacteristic
463#389C2×C411yescharacteristic
464#388C2×C411yescharacteristic
465#388C2×C411yescharacteristic
466#388C2×C411yescharacteristic
467#388C2×C411yescharacteristic
468#388C2×C411yescharacteristic
469#388C2×C411yescharacteristic
470#388C2×C411yescharacteristic
471#388C2×C411yescharacteristic
472#386C2×C411yescharacteristic
473#386C2×C411yescharacteristic
474#386C2×C411yescharacteristic
475#386C2×C411yescharacteristic
476#386C2×C411yescharacteristic
477#386C2×C411yescharacteristic
478#386C2×C411yescharacteristic
479#386C2×C411yescharacteristic
480#386C2×C411yescharacteristic
481#386C2×C411yescharacteristic
482#385C2×C411yescharacteristic
483#385C2×C411yescharacteristic
484#385C2×C411yescharacteristic
485#385C2×C411yescharacteristic
486#385C2×C411yescharacteristic
487#385C2×C411yescharacteristic
488#384C2×C411yescharacteristic
489#380C2×C411yescharacteristic
490#380C2×C411yescharacteristic
491#379C2×C411yescharacteristic
492#379C2×C411yescharacteristic
493C4×C4⋊C4C2×C411yescharacteristic
494C4×C4⋊C4C2×C411yescharacteristic
495C4×C4⋊C4C2311yescharacteristic
496C4×C4⋊C4C2311yescharacteristic
497C4×C22⋊C4C2×C411yescharacteristic
498C4×C22⋊C4C2×C411yescharacteristic
499C4×C22⋊C4C2×C411yescharacteristic
500C4×C22⋊C4C2×C411yescharacteristic
501C4×C22⋊C4C2311yescharacteristic
502C4×C22⋊C4C2311yescharacteristic
503C4×C22⋊C4C2311yescharacteristic
504C4×C22⋊C4C2311yescharacteristic
505C4×C22⋊C4C2311yescharacteristic
506C4×C22⋊C4C2311yescharacteristic
507C4×C22⋊C4C2311yescharacteristic
508C4×C22⋊C4C2311yescharacteristic
509C43C2311yescharacteristic
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—41no—
537C2×#41—41no—
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—42no—
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—41no—
576C23×C4—41no—
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
601C2×M16—22no—
602C2×M16—22no—
603C2×M16—22no—
604C2×M16—22no—
605C2×M16—22no—
606C2×M16—22no—
607C2×M16—41no—
608C2×M16—41no—
609C2×M16—41no—
610C2×M16—41no—
611C2×M16—41no—
612C2×M16—41no—
613C2×M16—41no—
614C2×M16—41no—
615C2×M16—41no—
616C2×M16—41no—
617C2×M16—41no—
618C2×M16C2×D414yescomplemented
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—41no—
630C22×C8—41no—
631C22×C8—41no—
632C22×C8—41no—
633C22×C8—41no—
634C22×C8—41no—
635C22×C8—41no—
636C22×C8—41no—
637C22×C8—41no—
638C22×C8—41no—
639C22×C8—41no—
640C22×C8—41no—
641C22×C8—41no—
642C22×C8—41no—
643C22×C8—41no—
644C22×C8—41no—
645C22×C8—41no—
646C22×C8—41no—
647C22×C8—41no—
648C22×C8C2×D414yes—
649C22×C8C2411yescharacteristic
650C22×C8C2411yescharacteristic
651C22×C8C2411yescharacteristic
652C22×C8C2411yescharacteristic
653C22×C8C2411yescharacteristic
654C22×C8C2411yescharacteristic
655C22×C8C2411yescharacteristic
656C22×C8C2411yescharacteristic
657C22×C8C2411yescharacteristic
658C22×C8C2411yescharacteristic
659C22×C8C2411yescharacteristic
660C22×C8C2411yescharacteristic
661C22×C8C2411yescharacteristic
662C22×C8C2411yescharacteristic
663C22×C8C2411yescharacteristic
664C22×C8C2411yescharacteristic
665C4⋊Q8—42no—
666#127—42no—
667#127—42no—
668#124—42no—
669#124—42no—
670#123—24no—
671#123—24no—
672#123—24no—
673#123—24no—
674C22⋊Q8—24no—
675C22⋊Q8—24no—
676C22⋊Q8—24no—
677C22⋊Q8—24no—
678#121—24no—
679#121—24no—
680#121—24no—
681#121—24no—
682#121—42no—
683#121—42no—
684#121—42no—
685#121—42no—
686#121—42no—
687#121—42no—
688#120—24no—
689#120—24no—
690#120—24no—
691#120—24no—
692#120—24no—
693#120—24no—
694C4×D4—22no—
695C4×D4—22no—
696C4×D4—22no—
697C4×D4—22no—
698C4×D4—22no—
699C4×D4—22no—
700C4×D4—22no—
701C4×D4—22no—
702C4×D4—24no—
703C4×D4—22no—
704C4×D4—22no—
705C4×D4—22no—
706C4×D4—22no—
707C4×D4—22no—
708C4×D4—22no—
709C4×D4—22no—
710C4×D4—22no—
711C4×D4—22no—
712C4×D4—22no—
713C4×D4—42no—
714C4×D4—42no—
715C4×D4—42no—
716C4×D4—42no—
717C4×D4—41no—
718C4×D4—41no—
719C4×D4—41no—
720C4×D4—41no—
721C4×D4—41no—
722C4×D4—41no—
723C4×D4—41no—
724C4×D4—41no—
725C4×D4—41no—
726C4×D4—41no—
727C4×D4—41no—
728C4×D4—41no—
729C4×D4—42no—
730C4×D4C2×D414yes—
731C4×D4#4114yes—
732#117—22no—
733#117—22no—
734#117—22no—
735#117—22no—
736C2×C4⋊C4—42no—
737C2×C4⋊C4C22×C411yescharacteristic
738C2×C4⋊C4C22×C411yescharacteristic
739C2×C4⋊C4C22×C411yescharacteristic
740C2×C4⋊C4C22×C411yescharacteristic
741C2×C4⋊C4C22×C411yescharacteristic
742C2×C4⋊C4C22×C411yescharacteristic
743C2×C4⋊C4C22×C411yescharacteristic
744C2×C4⋊C4C22×C411yescharacteristic
745C2×C4⋊C4C22×C411yescharacteristic
746C2×C4⋊C4C22×C411yescharacteristic
747C2×C4⋊C4C22×C411yescharacteristic
748C2×C4⋊C4C22×C411yescharacteristic
749C2×C4⋊C4C22×C411yescharacteristic
750C2×C4⋊C4C22×C411yescharacteristic
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×C22⋊C4—42no—
762C2×C22⋊C4—42no—
763C2×C22⋊C4C22×C411yescharacteristic
764C2×C22⋊C4C22×C411yescharacteristic
765C2×C22⋊C4C22×C411yescharacteristic
766C2×C22⋊C4C22×C411yescharacteristic
767C2×C22⋊C4C22×C411yescharacteristic
768C2×C22⋊C4C22×C411yescharacteristic
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×C42—22no—
816C2×C42—22no—
817C2×C42—22no—
818C2×C42—22no—
819C2×C42C22×C411yescharacteristic
820C2×C42C22×C411yescharacteristic
821C2×C42C22×C411yescharacteristic
822C2×C42C22×C411yescharacteristic
823C2×C42C22×C411yescharacteristic
824C2×C42C22×C411yescharacteristic
825C2×C42C22×C411yescharacteristic
826C2×C42C22×C411yescharacteristic
827C2×C42C2411yescharacteristic
828C2×C42C2411yescharacteristic
829C2×C42C2411yescharacteristic
830C2×C42C2411yescharacteristic
831C2×C42C2411yescharacteristic
832C2×C42C2411yescharacteristic
833C2×C42C2411yescharacteristic
834C4⋊C8—22no—
835C4⋊C8—22no—
836C4⋊C8—22no—
837C4⋊C8—22no—
838C4⋊C8—22no—
839C4⋊C8—22no—
840C4⋊C8—22no—
841C4⋊C8—22no—
842C4⋊C8—22no—
843C4⋊C8—22no—
844C4⋊C8—22no—
845C4⋊C8—41no—
846C4⋊C8—41no—
847C4⋊C8—41no—
848C4⋊C8—41no—
849C4⋊C8—41no—
850C4⋊C8—41no—
851C4⋊C8C2×D414yescomplemented
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—22no—
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—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⋊C8C2×D414yes—
899C22⋊C8C2×D414yescomplemented
900#97—22no—
901#97—22no—
902#97—22no—
903#97—22no—
904#97—22no—
905#97—22no—
906#97—22no—
907#97—41no—
908#97—41no—
909#97C2×D414yescomplemented
910C4×C8—22no—
911C4×C8—22no—
912C4×C8—22no—
913C4×C8—22no—
914C4×C8—22no—
915C4×C8—41no—
916C4×C8—41no—
917C4×C8—41no—
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
938C24—22no—
939C24—22no—
940C24—22no—
941C24—22no—
942C24—22no—
943C24—22no—
944C24—22no—
945C24—41no—
946C24—41no—
947C24—41no—
948C24—41no—
949C24—41no—
950C24—41no—
951C24—41no—
952C24C23×C411yescharacteristic
953C24C23×C411yescharacteristic
954C24C23×C411yescharacteristic
955C24C23×C411yescharacteristic
956C24C23×C411yescharacteristic
957C24C23×C411yescharacteristic
958C24C23×C411yescharacteristic
959C24C23×C411yescharacteristic
960#41—82no—
961#41—82no—
962#41—82no—
963#41—82no—
964#41—82no—
965#41—82no—
966#41—82no—
967#41—82no—
968C2×Q8—22no—
969C2×Q8—22no—
970C2×Q8—41no—
971C2×Q8—41no—
972C2×Q8—41no—
973C2×Q8—41no—
974C2×D4—22no—
975C2×D4—22no—
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—41no—
1005C2×D4—41no—
1006C2×D4—41no—
1007C2×D4—41no—
1008C2×D4—41no—
1009C2×D4—41no—
1010C2×D4—41no—
1011C2×D4—41no—
1012C2×D4—41no—
1013C2×D4—41no—
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—416no—
1040C2×D4C4×D414yes—
1041C22×C4—21no—
1042C22×C4—21no—
1043C22×C4—21no—
1044C22×C4—21no—
1045C22×C4—21no—
1046C22×C4—21no—
1047C22×C4—21no—
1048C22×C4—21no—
1049C22×C4—22no—
1050C22×C4—22no—
1051C22×C4—22no—
1052C22×C4—22no—
1053C22×C4—22no—
1054C22×C4—22no—
1055C22×C4—22no—
1056C22×C4—22no—
1057C22×C4—21no—
1058C22×C4—21no—
1059C22×C4—21no—
1060C22×C4—21no—
1061C22×C4—21no—
1062C22×C4—21no—
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—22no—
1098C22×C4—41no—
1099C22×C4—41no—
1100C22×C4—41no—
1101C22×C4—41no—
1102C22×C4—41no—
1103C22×C4—41no—
1104C22×C4—41no—
1105C22×C4—41no—
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—82no—
1116C22×C4—82no—
1117C22×C4—82no—
1118C22×C4—82no—
1119C22×C4—82no—
1120C22×C4—82no—
1121C22×C4—82no—
1122C22×C4—82no—
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×C4C2511yescharacteristic
1150M16—44no—
1151M16—44no—
1152M16—82no—
1153M16—82no—
1154M16—82no—
1155M16—82no—
1156C2×C8—21no—
1157C2×C8—21no—
1158C2×C8—21no—
1159C2×C8—21no—
1160C2×C8—21no—
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—44no—
1200C2×C8—44no—
1201C2×C8—82no—
1202C2×C8—82no—
1203C2×C8—82no—
1204C2×C8—82no—
1205C2×C8—82no—
1206C2×C8—82no—
1207C2×C8—82no—
1208C2×C8—82no—
1209C2×C8C22×D412yes—
1210C2×C8C22×D412yes—
1211C2×C8C22×D412yes—
1212C2×C8C22×D412yes—
1213C2×C8H(5,𝔽2)12yes—
1214C4⋊C4—22no—
1215C4⋊C4—22no—
1216C4⋊C4—22no—
1217C4⋊C4—22no—
1218C4⋊C4—22no—
1219C4⋊C4—22no—
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—41no—
1229C4⋊C4—41no—
1230C4⋊C4—41no—
1231C4⋊C4—41no—
1232C4⋊C4—41no—
1233C4⋊C4—41no—
1234C4⋊C4—41no—
1235C4⋊C4—41no—
1236C4⋊C4—41no—
1237C4⋊C4C4×D414yes—
1238C22⋊C4—22no—
1239C22⋊C4—22no—
1240C22⋊C4—22no—
1241C22⋊C4—22no—
1242C22⋊C4—22no—
1243C22⋊C4—22no—
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—41no—
1268C22⋊C4—41no—
1269C22⋊C4—41no—
1270C22⋊C4—41no—
1271C22⋊C4—41no—
1272C22⋊C4—41no—
1273C22⋊C4—41no—
1274C22⋊C4—41no—
1275C22⋊C4—41no—
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⋊C4C4×D414yes—
1288C22⋊C4C4×D414yes—
1289C22⋊C4#13114yes—
1290C42—22no—
1291C42—22no—
1292C42—22no—
1293C42—22no—
1294C42—22no—
1295C42—21no—
1296C42—21no—
1297C42—21no—
1298C42—21no—
1299C42—21no—
1300C42—21no—
1301C42—21no—
1302C42—21no—
1303C42—21no—
1304C42—21no—
1305C42—41no—
1306C42—41no—
1307C42—41no—
1308C42C22×D412yes—
1309C42C2×#4112yes—
1310C42H(5,𝔽2)12yes—
1311C42H(5,𝔽2)12yes—
1312C23—21no—
1313C23—21no—
1314C23—21no—
1315C23—21no—
1316C23—21no—
1317C23—21no—
1318C23—21no—
1319C23—21no—
1320C23—21no—
1321C23—21no—
1322C23—21no—
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—44no—
1364C23—44no—
1365C23—44no—
1366C23—44no—
1367C23—44no—
1368C23—44no—
1369C23—44no—
1370C23—82no—
1371C23—82no—
1372C23—82no—
1373C23—82no—
1374C23—82no—
1375C23—82no—
1376C23—82no—
1377C23C2×C4×D412yes—
1378C23C2×C4×D412yes—
1379C23C2×#13112yes—
1380C23#56812yes—
1381C23#56812yes—
1382C23C24×C411yescharacteristic
1383Q8—82no—
1384Q8—82no—
1385D4—28no—
1386D4—44no—
1387D4—44no—
1388D4—44no—
1389D4—44no—
1390D4—44no—
1391D4—44no—
1392D4—44no—
1393D4—44no—
1394D4—44no—
1395D4—82no—
1396D4—82no—
1397D4—82no—
1398D4—82no—
1399D4—82no—
1400D4—82no—
1401D4—82no—
1402D4—82no—
1403D4—82no—
1404D4—82no—
1405D4—82no—
1406D4—82no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
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—22no—
1424C2×C4—22no—
1425C2×C4—22no—
1426C2×C4—22no—
1427C2×C4—22no—
1428C2×C4—22no—
1429C2×C4—22no—
1430C2×C4—22no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
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—44no—
1474C2×C4—44no—
1475C2×C4—44no—
1476C2×C4—41no—
1477C2×C4—41no—
1478C2×C4—41no—
1479C2×C4—41no—
1480C2×C4—41no—
1481C2×C4—41no—
1482C2×C4—41no—
1483C2×C4—41no—
1484C2×C4—41no—
1485C2×C4—41no—
1486C2×C4—41no—
1487C2×C4—41no—
1488C2×C4—41no—
1489C2×C4—41no—
1490C2×C4—41no—
1491C2×C4—41no—
1492C2×C4—41no—
1493C2×C4—41no—
1494C2×C4—41no—
1495C2×C4—41no—
1496C2×C4—41no—
1497C2×C4—41no—
1498C2×C4—41no—
1499C2×C4—41no—
1500C2×C4—82no—
1501C2×C4—82no—
1502C2×C4—82no—
1503C2×C4—82no—
1504C2×C4—82no—
1505C2×C4—82no—
1506C2×C4—82no—
1507C2×C4C2×C4×D412yes—
1508C2×C4C2×C4×D412yes—
1509C2×C4C2×C4×D412yes—
1510C2×C4C2×C4×D412yes—
1511C2×C4#51812yes—
1512C2×C4#51812yes—
1513C2×C4C2×#13112yes—
1514C2×C4C2×#13112yes—
1515C2×C4C23×D411yescharacteristic
1516C2×C4C22×#4111yescharacteristic
1517C2×C4C2×H(5,𝔽2)11yescharacteristic
1518C2×C4C2×H(5,𝔽2)11yescharacteristic
1519C2×C4C2×H(5,𝔽2)11yescharacteristic
1520C2×C4#58511yescharacteristic
1521C8—22no—
1522C8—22no—
1523C8—22no—
1524C8—22no—
1525C8—22no—
1526C8—41no—
1527C8—41no—
1528C8—41no—
1529C8—41no—
1530C8—41no—
1531C8—41no—
1532C8—41no—
1533C8—41no—
1534C8—41no—
1535C8—41no—
1536C8—41no—
1537C22—22no—
1538C22—22no—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—22no—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
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—88no—
1593C22—88no—
1594C22#293514yes—
1595C22C22×C4×D411yescharacteristic
1596C22C2×#51811yescharacteristic
1597C22C4×H(5,𝔽2)11yescharacteristic
1598C22C22×#13111yescharacteristic
1599C22C2×#56811yescharacteristic
1600C22C2×#56811yescharacteristic
1601C22#357311yescharacteristic
1602C4—22no—
1603C4—22no—
1604C4—22no—
1605C4—22no—
1606C4—22no—
1607C4—22no—
1608C4—22no—
1609C4—22no—
1610C4—41no—
1611C4—41no—
1612C4—41no—
1613C4—41no—
1614C4—41no—
1615C4—41no—
1616C4—41no—
1617C4—41no—
1618C4—41no—
1619C4—41no—
1620C4—41no—
1621C4—41no—
1622C4—41no—
1623C4—41no—
1624C4#349611yescharacteristic
1625C4#349811yescharacteristic
1626C4#351411yescharacteristic
1627C4#351911yescharacteristic
1628C2—24no—
1629C2—42no—
1630C2—42no—
1631C2—81no—
1632C2—81no—
1633C2—81no—
1634C2—81no—
1635C2—81no—
1636C2#3431011yescharacteristic
1637C2C2×#293511yescharacteristic
1638C2#6014611yescharacteristic
1639C2#6023111yescharacteristic
1640C2#6023911yescharacteristic
1641C2#6031111yescharacteristic
1642C2#6031611yescharacteristic
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×#2977C2semidirect
2. C2×#2976C2semidirect
4. #23174C2semidirect
5. #23092C2semidirect
6. #23089C2semidirect
7. #22987C2semidirect
8. #22987C2semidirect
9. #22849C2semidirect
10. #22848C2semidirect
11. #22843C2semidirect
12. #22842C2semidirect
13. #22798C2semidirect
14. D4×C4⋊C8C2semidirect
15. #22403C2semidirect
16. #22399C2semidirect
17. #22398C2semidirect
18. #22398C2semidirect
19. #22144C2semidirect
20. #22142C2semidirect
21. #22039C2semidirect
22. #22037C2semidirect
23. #22032C2semidirect
24. #22028C2semidirect
25. #21682C2semidirect
26. #21490C2semidirect
27. #21489C2semidirect
28. #21269C2semidirect
29. #21189C2semidirect
30. C2×#1955C2semidirect
31. #20491C2semidirect
38. C2×#436C22semidirect
39. C2×#436C22semidirect
40. C2×#436C22semidirect
47. C2×#435C22semidirect
48. C2×#435C22semidirect
49. C2×#435C22semidirect
50. C2×#435C22semidirect
51. C2×#435C22semidirect
52. C2×#435C22semidirect
57. C2×C8×D4C22semidirect
58. C2×C8×D4C22semidirect
59. C2×C8×D4C22semidirect
60. C2×#433C22semidirect
61. C2×#433C22semidirect
62. C2×#433C22semidirect
63. C2×#433C22semidirect
65. C22×C4⋊C8C22semidirect
66. C2×#408C22semidirect
67. C2×#408C22semidirect
68. C2×#408C22semidirect
69. C2×#408C22semidirect
70. C2×#408C22semidirect
71. C2×#408C22semidirect
78. C2×C4×M16C22semidirect
117. #1955C22semidirect
118. #1955C22semidirect
119. #1955C22semidirect
120. #1955C22semidirect
121. #1954C22semidirect
122. #1954C22semidirect
123. #1954C22semidirect
124. #1954C22semidirect
125. #1954C22semidirect
126. #1954C22semidirect
127. #1954C22semidirect
128. #1954C22semidirect
129. #1940C22semidirect
130. #1940C22semidirect
131. #1939C22semidirect
132. #1939C22semidirect
133. #1924C22semidirect
134. #1924C22semidirect
135. #1924C22semidirect
136. #1924C22semidirect
137. #1924C22semidirect
138. #1924C22semidirect
139. #1923C22semidirect
140. #1923C22semidirect
141. #1923C22semidirect
142. #1923C22semidirect
143. #1923C22semidirect
144. #1923C22semidirect
145. #1923C22semidirect
146. #1923C22semidirect
147. #1923C22semidirect
148. #1923C22semidirect
151. #1870C22semidirect
152. #1870C22semidirect
153. #1870C22semidirect
154. #1870C22semidirect
155. #1870C22semidirect
156. #1870C22semidirect
163. #1869C22semidirect
164. #1869C22semidirect
165. #1869C22semidirect
166. #1869C22semidirect
167. #1869C22semidirect
168. #1869C22semidirect
169. #1851C22semidirect
170. #1851C22semidirect
173. #1850C22semidirect
174. #1850C22semidirect
175. #1850C22semidirect
176. #1850C22semidirect
177. #1842C22semidirect
178. #1798C22semidirect
179. #1798C22semidirect
181. #1797C22semidirect
182. #1780C22semidirect
183. #1780C22semidirect
186. #1771C22semidirect
187. #1771C22semidirect
188. #1771C22semidirect
189. #1771C22semidirect
190. #1767C22semidirect
191. C4×C4⋊C8C22semidirect
192. #1753C22semidirect
193. #1753C22semidirect
194. #1753C22semidirect
195. #1753C22semidirect
196. #1752C22semidirect
199. C8×C22⋊C4C22semidirect
200. #1750C22semidirect
201. #1750C22semidirect
203. #1749C22semidirect
204. C4×#97C22semidirect
306. #435D4semidirect
618. C2×M16C2×D4semidirect
851. C4⋊C8C2×D4semidirect
899. C22⋊C8C2×D4semidirect
909. #97C2×D4semidirect

Maximal subgroups

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

subgroupindex
C2×#29772
C2×#29762
#346812
#231742
#230922
#230892
#229872
#228492
#228482
#228432
#228422
#227982
D4×C4⋊C82
#224032
#223992
#223982
#221442
#221422
#220392
#220372
#220322
#220282
#216822
#214902
#214892
#212692
#211892
C2×#19552
#204912