Finite Group Databasebeta

← #6422676

Subgroups — #6422676

Order 512.

1969 conjugacy classes of subgroups.

The subgroup lattice has 1602 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#34681C211yesmaximal, characteristic
2#23334C211yesmaximal, characteristic, complemented
3#23329C211yesmaximal, characteristic, complemented
4#23310C211yesmaximal, characteristic, complemented
5#23307C211yesmaximal, characteristic, complemented
6#23174C211yesmaximal, characteristic, complemented
7#23089C211yesmaximal, characteristic, complemented
8#22994C211yesmaximal, characteristic, complemented
9#22853C211yesmaximal, characteristic, complemented
10#22846C211yesmaximal, characteristic, complemented
11#22837C211yesmaximal, characteristic, complemented
12#22756C211yesmaximal, characteristic, complemented
13#22403C211yesmaximal, characteristic, complemented
14#22401C211yesmaximal, characteristic, complemented
15#22400C211yesmaximal, characteristic, complemented
16#22398C211yesmaximal, characteristic, complemented
17#22335C211yesmaximal, characteristic, complemented
18#22329C211yesmaximal, characteristic, complemented
19#22262C211yesmaximal, characteristic, complemented
20#22144C211yesmaximal, characteristic, complemented
21#22039C211yesmaximal, characteristic, complemented
22#22038C211yesmaximal, characteristic, complemented
23#22032C211yesmaximal, characteristic, complemented
24#22029C211yesmaximal, characteristic, complemented
25#22008C211yesmaximal, characteristic, complemented
26#21792C211yesmaximal, characteristic, complemented
27#21745C211yesmaximal, characteristic, complemented
28#21738C211yesmaximal, characteristic, complemented
29#21496C211yesmaximal, characteristic, complemented
30#21191C211yesmaximal, characteristic, complemented
31#21110C211yesmaximal, characteristic, complemented
32C2×#532C2211yescharacteristic
33C2×#525C2211yescharacteristic
34C2×#525C2211yescharacteristic
35C22×C4×D4C2211yescharacteristic
36C2×#436C2211yescharacteristic
37C2×#436C2211yescharacteristic
38C2×#436C2211yescharacteristic, complemented
39C2×#436C2211yescharacteristic, complemented
40C2×#435C2211yescharacteristic, complemented
41C2×#435C2211yescharacteristic, complemented
42C2×#435C2211yescharacteristic, complemented
43C2×#435C2211yescharacteristic, complemented
44C2×C8×D4C2211yescharacteristic, complemented
45C2×C8×D4C2211yescharacteristic, complemented
46C2×#433C2211yescharacteristic, complemented
47C2×#433C2211yescharacteristic, complemented
48C2×#424C2211yescharacteristic, complemented
49C2×#408C2211yescharacteristic, complemented
50C2×#408C2211yescharacteristic, complemented
51C2×#408C2211yescharacteristic, complemented
52C2×#408C2211yescharacteristic, complemented
53C2×#407C2211yescharacteristic
54C2×#407C2211yescharacteristic
55C22×C22⋊C8C2211yescharacteristic
56C22×C22⋊C8C2211yescharacteristic
57C2×#405C2211yescharacteristic, complemented
58#2472C411yescharacteristic
59#2472C411yescharacteristic
60#2464C411yescharacteristic
61#2464C411yescharacteristic
62#2461C411yescharacteristic
63#2461C411yescharacteristic
64#2452C411yescharacteristic
65#2445C411yescharacteristic
66#2440C411yescharacteristic
67#2433C411yescharacteristic
68#2428C411yescharacteristic
69#2424C411yescharacteristic
70#2424C411yescharacteristic
71#2422C411yescharacteristic
72#2416C411yescharacteristic
73#2408C411yescharacteristic
74#2392C2211yescharacteristic
75#2392C2211yescharacteristic
76#2388C2211yescharacteristic
77#2388C2211yescharacteristic
78C4×#127C2211yescharacteristic
79C4×#121C2211yescharacteristic
80C4×#121C2211yescharacteristic
81C4×#120C2211yescharacteristic
82C4×#120C2211yescharacteristic
83#2293C2211yescharacteristic
84C42×D4C2211yescharacteristic
85#1955C2211yescharacteristic
86#1955C2211yescharacteristic
87#1955C2211yescharacteristic
88#1955C2211yescharacteristic
89#1955C2211yescharacteristic, complemented
90#1955C2211yescharacteristic, complemented
91#1955C2211yescharacteristic, complemented
92#1955C2211yescharacteristic, complemented
93#1955C2211yescharacteristic, complemented
94#1955C2211yescharacteristic, complemented
95#1954C2211yescharacteristic
96#1954C2211yescharacteristic
97#1954C2211yescharacteristic
98#1954C2211yescharacteristic
99#1954C2211yescharacteristic
100#1954C2211yescharacteristic
101#1954C2211yescharacteristic, complemented
102#1954C2211yescharacteristic, complemented
103#1954C2211yescharacteristic, complemented
104#1954C2211yescharacteristic, complemented
105#1954C2211yescharacteristic, complemented
106#1954C2211yescharacteristic, complemented
107#1939C2211yescharacteristic, complemented
108#1939C2211yescharacteristic, complemented
109#1924C2211yescharacteristic
110#1924C2211yescharacteristic
111#1924C2211yescharacteristic, complemented
112#1924C2211yescharacteristic, complemented
113#1924C2211yescharacteristic, complemented
114#1924C2211yescharacteristic, complemented
115#1924C2211yescharacteristic, complemented
116#1924C2211yescharacteristic, complemented
117#1923C2211yescharacteristic
118#1923C2211yescharacteristic
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#1923C2211yescharacteristic, complemented
128#1923C2211yescharacteristic, complemented
129#1917C2211yescharacteristic, complemented
130#1917C2211yescharacteristic, complemented
131#1916C2211yescharacteristic, complemented
132#1916C2211yescharacteristic, complemented
133#1870C2211yescharacteristic
134#1870C2211yescharacteristic
135#1870C2211yescharacteristic
136#1870C2211yescharacteristic
137#1870C2211yescharacteristic
138#1870C2211yescharacteristic
139#1870C2211yescharacteristic, complemented
140#1870C2211yescharacteristic, complemented
141#1870C2211yescharacteristic, complemented
142#1870C2211yescharacteristic, complemented
143#1870C2211yescharacteristic, complemented
144#1870C2211yescharacteristic, complemented
145#1870C2211yescharacteristic, complemented
146#1870C2211yescharacteristic, complemented
147#1869C2211yescharacteristic
148#1869C2211yescharacteristic
149#1869C2211yescharacteristic
150#1869C2211yescharacteristic
151#1869C2211yescharacteristic
152#1869C2211yescharacteristic
153#1869C2211yescharacteristic
154#1869C2211yescharacteristic
155#1869C2211yescharacteristic
156#1869C2211yescharacteristic
157#1869C2211yescharacteristic, complemented
158#1869C2211yescharacteristic, complemented
159#1869C2211yescharacteristic, complemented
160#1869C2211yescharacteristic, complemented
161#1869C2211yescharacteristic, complemented
162#1869C2211yescharacteristic, complemented
163#1869C2211yescharacteristic, complemented
164#1869C2211yescharacteristic, complemented
165#1851C2211yescharacteristic, complemented
166#1851C2211yescharacteristic, complemented
167#1851C2211yescharacteristic, complemented
168#1851C2211yescharacteristic, complemented
169#1850C2211yescharacteristic, complemented
170#1850C2211yescharacteristic, complemented
171#1831C2211yescharacteristic, complemented
172#1817C2211yescharacteristic
173#1817C2211yescharacteristic
174#1817C2211yescharacteristic, complemented
175#1817C2211yescharacteristic, complemented
176#1798C2211yescharacteristic, complemented
177#1798C2211yescharacteristic, complemented
178#1797C2211yescharacteristic
179#1797C2211yescharacteristic, complemented
180#1780C2211yescharacteristic, complemented
181#1780C2211yescharacteristic, complemented
182#1780C2211yescharacteristic, complemented
183#1780C2211yescharacteristic, complemented
184#1779C2211yescharacteristic
185#1779C2211yescharacteristic
186#1779C2211yescharacteristic
187#1779C2211yescharacteristic
188#1771C2211yescharacteristic, complemented
189#1771C2211yescharacteristic, complemented
190#1767C2211yescharacteristic, complemented
191C4×C4⋊C8C2211yescharacteristic, complemented
192#1753C2211yescharacteristic, complemented
193#1753C2211yescharacteristic, complemented
194#1752C2211yescharacteristic, complemented
195C8×C22⋊C4C2211yescharacteristic, complemented
196C8×C22⋊C4C2211yescharacteristic, complemented
197C8×C22⋊C4C2211yescharacteristic, complemented
198#1750C2211yescharacteristic, complemented
199#1750C2211yescharacteristic, complemented
200#1749C2211yescharacteristic, complemented
201C4×C22⋊C8C2211yescharacteristic
202#1744C2211yescharacteristic, complemented
203C22×#41C2311yescharacteristic
204C22×#41C2311yescharacteristic
205C23×D4C2×C411yescharacteristic
206C24×C4C2311yescharacteristic
207C24×C4C2311yescharacteristic
208C22×M16C2311yescharacteristic
209C22×M16C2311yescharacteristic
210C22×M16C2311yescharacteristic
211C22×M16C2311yescharacteristic
212C22×M16C2311yescharacteristic
213C22×M16C2311yescharacteristic
214C23×C8C2311yescharacteristic
215C23×C8C2311yescharacteristic
216C23×C8C2311yescharacteristic
217C23×C8C2311yescharacteristic
218C23×C8C2311yescharacteristic
219C23×C8C2311yescharacteristic
220#532—42no—
221#532—42no—
222C2×C4⋊Q8C2×C411yescharacteristic
223C2×#127C2×C411yescharacteristic
224C2×#127C2×C411yescharacteristic
225C2×#124C2×C411yescharacteristic
226C2×#124C2×C411yescharacteristic
227#525—42no—
228#525—42no—
229#525—42no—
230#525—42no—
231C2×#123C2×C411yescharacteristic
232C2×#123C2×C411yescharacteristic
233C2×#123C2×C411yescharacteristic
234C2×#123C2×C411yescharacteristic
235C2×C22⋊Q8C2×C411yescharacteristic
236C2×C22⋊Q8C2×C411yescharacteristic
237C2×C22⋊Q8C2×C411yescharacteristic
238C2×C22⋊Q8C2×C411yescharacteristic
239C2×#121C2×C411yescharacteristic
240C2×#121C2×C411yescharacteristic
241C2×#121C2×C411yescharacteristic
242C2×#121C2×C411yescharacteristic
243C2×#121C2×C411yescharacteristic
244C2×#121C2×C411yescharacteristic
245C2×#121C2×C411yescharacteristic
246C2×#121C2×C411yescharacteristic
247C2×#121C2×C411yescharacteristic
248C2×#121C2×C411yescharacteristic
249C2×#120C2×C411yescharacteristic
250C2×#120C2×C411yescharacteristic
251C2×#120C2×C411yescharacteristic
252C2×#120C2×C411yescharacteristic
253C2×#120C2×C411yescharacteristic
254C2×#120C2×C411yescharacteristic
255C2×C4×D4—42no—
256C2×C4×D4—42no—
257C2×C4×D4C2×C411yescharacteristic
258C2×C4×D4C2×C411yescharacteristic
259C2×C4×D4C2×C411yescharacteristic
260C2×C4×D4C2×C411yescharacteristic
261C2×C4×D4C2×C411yescharacteristic
262C2×C4×D4C2×C411yescharacteristic
263C2×C4×D4C2311yescharacteristic
264C2×C4×D4C2311yescharacteristic
265C2×C4×D4C2311yescharacteristic
266C2×C4×D4C2311yescharacteristic
267C2×C4×D4C2311yescharacteristic
268C2×C4×D4C2311yescharacteristic
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×#117C2311yescharacteristic
280C2×#117C2311yescharacteristic
281C22×C4⋊C4C2×C411yescharacteristic
282C22×C22⋊C4C2×C411yescharacteristic
283C22×C22⋊C4C2×C411yescharacteristic
284C22×C42C2311yescharacteristic
285C22×C42C2311yescharacteristic
286#436—42no—
287#436—42no—
288#436—42no—
289#436—42no—
290#435—42no—
291#435—42no—
292#435—42no—
293#435—42no—
294C8×D4—42no—
295C8×D4—42no—
296#433—42no—
297#433—42no—
298#424—42no—
299C2×C4⋊C8C2311yescharacteristic
300C2×C4⋊C8C2311yescharacteristic
301C2×C4⋊C8C2311yescharacteristic
302C2×C4⋊C8C2311yescharacteristic
303C2×C4⋊C8C2311yescharacteristic
304C2×C4⋊C8C2311yescharacteristic
305C2×C4⋊C8C2311yescharacteristic
306C2×C4⋊C8C2311yescharacteristic
307C2×C4⋊C8C2311yescharacteristic
308C2×C4⋊C8C2311yescharacteristic
309C2×C4⋊C8C2311yescharacteristic
310C2×C4⋊C8C2311yescharacteristic
311C2×C4⋊C8C2311yescharacteristic
312C2×C4⋊C8C2311yescharacteristic
313#408—42no—
314#408—42no—
315#408—42no—
316#408—42no—
317#407—42no—
318#407—42no—
319C2×C22⋊C8—42no—
320C2×C22⋊C8—42no—
321C2×C22⋊C8C2311yescharacteristic
322C2×C22⋊C8C2311yescharacteristic
323C2×C22⋊C8C2311yescharacteristic
324C2×C22⋊C8C2311yescharacteristic
325C2×C22⋊C8C2311yescharacteristic
326C2×C22⋊C8C2311yescharacteristic
327C2×C22⋊C8C2311yescharacteristic
328C2×C22⋊C8C2311yescharacteristic
329C2×C22⋊C8C2311yescharacteristic
330C2×C22⋊C8C2311yescharacteristic
331C2×C22⋊C8C2311yescharacteristic
332C2×C22⋊C8C2311yescharacteristic
333C2×C22⋊C8C2311yescharacteristic
334C2×C22⋊C8C2311yescharacteristic
335C2×C22⋊C8C2311yescharacteristic
336C2×C22⋊C8C2311yescharacteristic
337C2×C22⋊C8C2311yescharacteristic
338C2×C22⋊C8C2311yescharacteristic
339C2×C22⋊C8C2311yescharacteristic
340C2×C22⋊C8C2311yescharacteristic
341C2×C22⋊C8C2311yescharacteristic
342C2×C22⋊C8C2311yescharacteristic
343C2×C22⋊C8C2311yescharacteristic
344C2×C22⋊C8C2311yescharacteristic
345C2×C22⋊C8C2311yescharacteristic
346C2×C22⋊C8C2311yescharacteristic
347C2×C22⋊C8C2311yescharacteristic
348C2×C22⋊C8C2311yescharacteristic
349C2×C22⋊C8C2311yescharacteristic
350C2×C22⋊C8C2311yescharacteristic
351C2×C22⋊C8C2311yescharacteristic
352C2×C22⋊C8C2311yescharacteristic
353C2×C22⋊C8C2311yescharacteristic
354C2×C22⋊C8C2311yescharacteristic
355C2×C22⋊C8C2311yescharacteristic
356C2×C22⋊C8C2311yescharacteristic
357C2×C22⋊C8C2311yescharacteristic
358C2×C22⋊C8C2311yescharacteristic
359C2×C22⋊C8C2311yescharacteristic
360C2×C22⋊C8C2311yescharacteristic
361C2×C22⋊C8C2311yescharacteristic
362C2×C22⋊C8C2311yescharacteristic
363C2×C22⋊C8C2311yescharacteristic
364C2×C22⋊C8C2311yescharacteristic
365C2×C22⋊C8C2311yescharacteristic
366C2×C22⋊C8C2311yescharacteristic
367C2×C22⋊C8C2311yescharacteristic
368C2×C22⋊C8C2311yescharacteristic
369C2×C22⋊C8C2311yescharacteristic
370C2×C22⋊C8C2311yescharacteristic
371C2×C22⋊C8C2311yescharacteristic
372C2×C22⋊C8C2311yescharacteristic
373#405—42no—
374C2×#97C2311yescharacteristic
375C2×#97C2311yescharacteristic
376C2×#97C2311yescharacteristic
377C2×#97C2311yescharacteristic
378C2×#97C2311yescharacteristic
379C2×#97C2311yescharacteristic
380C2×C4×C8C2311yescharacteristic
381C2×C4×C8C2311yescharacteristic
382C2×C4×C8C2311yescharacteristic
383C2×C4×C8C2311yescharacteristic
384C2×C4×C8C2311yescharacteristic
385C2×C4×C8C2311yescharacteristic
386C2×C4×C8C2311yescharacteristic
387C2×C4×C8C2311yescharacteristic
388#398C2×C411yescharacteristic
389#398C2×C411yescharacteristic
390#397C2×C411yescharacteristic
391#397C2×C411yescharacteristic
392#396C2×C411yescharacteristic
393#396C2×C411yescharacteristic
394#396C2×C411yescharacteristic
395#396C2×C411yescharacteristic
396#395C2×C411yescharacteristic
397#395C2×C411yescharacteristic
398#394C2×C411yescharacteristic
399#394C2×C411yescharacteristic
400#394C2×C411yescharacteristic
401#394C2×C411yescharacteristic
402#394C2×C411yescharacteristic
403#394C2×C411yescharacteristic
404#394C2×C411yescharacteristic
405#394C2×C411yescharacteristic
406#394C2×C411yescharacteristic
407#394C2×C411yescharacteristic
408#394C2×C411yescharacteristic
409#394C2×C411yescharacteristic
410#393C2×C411yescharacteristic
411#393C2×C411yescharacteristic
412#392C2×C411yescharacteristic
413#392C2×C411yescharacteristic
414#392C2×C411yescharacteristic
415#392C2×C411yescharacteristic
416#392C2×C411yescharacteristic
417#392C2×C411yescharacteristic
418#392C2×C411yescharacteristic
419#392C2×C411yescharacteristic
420#390C2×C411yescharacteristic
421#390C2×C411yescharacteristic
422#390C2×C411yescharacteristic
423#390C2×C411yescharacteristic
424#390C2×C411yescharacteristic
425#390C2×C411yescharacteristic
426#390C2×C411yescharacteristic
427#390C2×C411yescharacteristic
428#390C2×C411yescharacteristic
429#390C2×C411yescharacteristic
430#389C2×C411yescharacteristic
431#389C2×C411yescharacteristic
432#389C2×C411yescharacteristic
433#389C2×C411yescharacteristic
434#388C2×C411yescharacteristic
435#388C2×C411yescharacteristic
436#388C2×C411yescharacteristic
437#388C2×C411yescharacteristic
438#388C2×C411yescharacteristic
439#388C2×C411yescharacteristic
440#388C2×C411yescharacteristic
441#388C2×C411yescharacteristic
442#386C2×C411yescharacteristic
443#386C2×C411yescharacteristic
444#386C2×C411yescharacteristic
445#386C2×C411yescharacteristic
446#386C2×C411yescharacteristic
447#386C2×C411yescharacteristic
448#386C2×C411yescharacteristic
449#386C2×C411yescharacteristic
450#386C2×C411yescharacteristic
451#386C2×C411yescharacteristic
452#385C2×C411yescharacteristic
453#385C2×C411yescharacteristic
454#385C2×C411yescharacteristic
455#385C2×C411yescharacteristic
456#385C2×C411yescharacteristic
457#385C2×C411yescharacteristic
458#384C2×C411yescharacteristic
459#380C2×C411yescharacteristic
460#380C2×C411yescharacteristic
461#379C2×C411yescharacteristic
462#379C2×C411yescharacteristic
463C4×C4⋊C4C2×C411yescharacteristic
464C4×C4⋊C4C2×C411yescharacteristic
465C4×C4⋊C4C2311yescharacteristic
466C4×C4⋊C4C2311yescharacteristic
467C4×C22⋊C4C2×C411yescharacteristic
468C4×C22⋊C4C2×C411yescharacteristic
469C4×C22⋊C4C2×C411yescharacteristic
470C4×C22⋊C4C2×C411yescharacteristic
471C4×C22⋊C4C2311yescharacteristic
472C4×C22⋊C4C2311yescharacteristic
473C4×C22⋊C4C2311yescharacteristic
474C4×C22⋊C4C2311yescharacteristic
475C4×C22⋊C4C2311yescharacteristic
476C4×C22⋊C4C2311yescharacteristic
477C4×C22⋊C4C2311yescharacteristic
478C4×C22⋊C4C2311yescharacteristic
479C43C2311yescharacteristic
480#336C2311yescharacteristic
481#336C2311yescharacteristic
482#336C2311yescharacteristic
483#336C2311yescharacteristic
484#336C2311yescharacteristic
485#336C2311yescharacteristic
486#336C2311yescharacteristic
487#336C2311yescharacteristic
488#336C2311yescharacteristic
489#336C2311yescharacteristic
490#336C2311yescharacteristic
491#336C2311yescharacteristic
492#336C2311yescharacteristic
493#336C2311yescharacteristic
494#336C2311yescharacteristic
495#336C2311yescharacteristic
496#336C2311yescharacteristic
497#336C2311yescharacteristic
498#336C2311yescharacteristic
499#336C2311yescharacteristic
500#336C2311yescharacteristic
501#336C2311yescharacteristic
502#336C2311yescharacteristic
503#336C2311yescharacteristic
504#336C2311yescharacteristic
505#336C2311yescharacteristic
506#336C2311yescharacteristic
507#336C2311yescharacteristic
508C25C22×C411yescharacteristic
509C25C22×C411yescharacteristic
510C2×#41—22no—
511C2×#41—22no—
512C2×#41—41no—
513C2×#41—41no—
514C2×#41—41no—
515C2×#41—41no—
516C2×#41—41no—
517C2×#41—41no—
518C2×#41—41no—
519C2×#41—41no—
520C2×#41—41no—
521C2×#41—41no—
522C22×Q8C22×C411yescharacteristic
523C22×Q8C22×C411yescharacteristic
524C22×D4—24no—
525C22×D4—42no—
526C22×D4—42no—
527C22×D4C22×C411yescharacteristic
528C22×D4C22×C411yescharacteristic
529C22×D4C22×C411yescharacteristic
530C22×D4C22×C411yescharacteristic
531C22×D4C22×C411yescharacteristic
532C22×D4C22×C411yescharacteristic
533C22×D4C22×C411yescharacteristic
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
543C22×D4C22×C411yescharacteristic
544C22×D4C22×C411yescharacteristic
545C22×D4C22×C411yescharacteristic
546C22×D4C22×C411yescharacteristic
547C22×D4C22×C411yescharacteristic
548C22×D4C22×C411yescharacteristic
549C23×C4—22no—
550C23×C4—22no—
551C23×C4—41no—
552C23×C4—41no—
553C23×C4—41no—
554C23×C4—41no—
555C23×C4—41no—
556C23×C4—41no—
557C23×C4—41no—
558C23×C4—41no—
559C23×C4—41no—
560C23×C4—41no—
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×C4C2411yescharacteristic
572C23×C4C2411yescharacteristic
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—41no—
584C2×M16—41no—
585C2×M16—41no—
586C2×M16—41no—
587C2×M16—41no—
588C2×M16—41no—
589C2×M16—41no—
590C2×M16—41no—
591C2×M16—41no—
592C2×M16—41no—
593C2×M16—41no—
594C2×M16—41no—
595C2×M16—41no—
596C2×M16—41no—
597C22×C8—22no—
598C22×C8—22no—
599C22×C8—22no—
600C22×C8—41no—
601C22×C8—41no—
602C22×C8—41no—
603C22×C8—41no—
604C22×C8—41no—
605C22×C8—41no—
606C22×C8—41no—
607C22×C8—41no—
608C22×C8—41no—
609C22×C8—41no—
610C22×C8—41no—
611C22×C8—41no—
612C22×C8—41no—
613C22×C8—41no—
614C22×C8—41no—
615C22×C8C2411yescharacteristic
616C22×C8C2411yescharacteristic
617C22×C8C2411yescharacteristic
618C22×C8C2411yescharacteristic
619C22×C8C2411yescharacteristic
620C22×C8C2411yescharacteristic
621C22×C8C2411yescharacteristic
622C22×C8C2411yescharacteristic
623C22×C8C2411yescharacteristic
624C22×C8C2411yescharacteristic
625C22×C8C2411yescharacteristic
626C22×C8C2411yescharacteristic
627C22×C8C2411yescharacteristic
628C22×C8C2411yescharacteristic
629C22×C8C2411yescharacteristic
630C22×C8C2411yescharacteristic
631C4⋊Q8—42no—
632#127—42no—
633#127—42no—
634#124—42no—
635#124—42no—
636#123—42no—
637#123—42no—
638#123—42no—
639#123—42no—
640C22⋊Q8—42no—
641C22⋊Q8—42no—
642C22⋊Q8—42no—
643C22⋊Q8—42no—
644#121—24no—
645#121—42no—
646#121—42no—
647#121—42no—
648#121—42no—
649#121—42no—
650#121—42no—
651#121—42no—
652#121—42no—
653#121—42no—
654#120—42no—
655#120—42no—
656#120—42no—
657#120—42no—
658#120—42no—
659#120—42no—
660C4×D4—24no—
661C4×D4—22no—
662C4×D4—22no—
663C4×D4—22no—
664C4×D4—22no—
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—42no—
674C4×D4—41no—
675C4×D4—41no—
676C4×D4—41no—
677C4×D4—41no—
678C4×D4—41no—
679C4×D4—41no—
680C4×D4—41no—
681C4×D4—41no—
682C4×D4—41no—
683C4×D4—41no—
684C4×D4—41no—
685C4×D4—41no—
686C4×D4—41no—
687C4×D4—41no—
688C4×D4—41no—
689C4×D4—41no—
690C4×D4—41no—
691C4×D4—41no—
692C4×D4—41no—
693C4×D4—41no—
694C4×D4—42no—
695C4×D4—42no—
696C4×D4—42no—
697C4×D4—42no—
698#117—22no—
699#117—22no—
700#117—22no—
701#117—22no—
702C2×C4⋊C4—42no—
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×C4⋊C4C22×C411yescharacteristic
717C2×C4⋊C4C22×C411yescharacteristic
718C2×C4⋊C4C22×C411yescharacteristic
719C2×C4⋊C4C22×C411yescharacteristic
720C2×C4⋊C4C22×C411yescharacteristic
721C2×C4⋊C4C22×C411yescharacteristic
722C2×C4⋊C4C22×C411yescharacteristic
723C2×C4⋊C4C22×C411yescharacteristic
724C2×C4⋊C4C22×C411yescharacteristic
725C2×C4⋊C4C22×C411yescharacteristic
726C2×C4⋊C4C22×C411yescharacteristic
727C2×C22⋊C4—42no—
728C2×C22⋊C4—42no—
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×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×C42—41no—
782C2×C42—41no—
783C2×C42—41no—
784C2×C42—41no—
785C2×C42C22×C411yescharacteristic
786C2×C42C22×C411yescharacteristic
787C2×C42C22×C411yescharacteristic
788C2×C42C22×C411yescharacteristic
789C2×C42C22×C411yescharacteristic
790C2×C42C22×C411yescharacteristic
791C2×C42C22×C411yescharacteristic
792C2×C42C22×C411yescharacteristic
793C2×C42C2411yescharacteristic
794C2×C42C2411yescharacteristic
795C2×C42C2411yescharacteristic
796C2×C42C2411yescharacteristic
797C2×C42C2411yescharacteristic
798C2×C42C2411yescharacteristic
799C2×C42C2411yescharacteristic
800C4⋊C8—22no—
801C4⋊C8—22no—
802C4⋊C8—22no—
803C4⋊C8—22no—
804C4⋊C8—22no—
805C4⋊C8—41no—
806C4⋊C8—41no—
807C4⋊C8—41no—
808C4⋊C8—41no—
809C4⋊C8—41no—
810C4⋊C8—41no—
811C4⋊C8—41no—
812C4⋊C8—41no—
813C4⋊C8—41no—
814C22⋊C8—22no—
815C22⋊C8—22no—
816C22⋊C8—22no—
817C22⋊C8—22no—
818C22⋊C8—22no—
819C22⋊C8—22no—
820C22⋊C8—22no—
821C22⋊C8—22no—
822C22⋊C8—22no—
823C22⋊C8—41no—
824C22⋊C8—41no—
825C22⋊C8—41no—
826C22⋊C8—41no—
827C22⋊C8—41no—
828C22⋊C8—41no—
829C22⋊C8—41no—
830C22⋊C8—41no—
831C22⋊C8—41no—
832C22⋊C8—41no—
833C22⋊C8—41no—
834C22⋊C8—41no—
835C22⋊C8—41no—
836C22⋊C8—41no—
837C22⋊C8—41no—
838C22⋊C8—41no—
839C22⋊C8—41no—
840C22⋊C8—41no—
841C22⋊C8—41no—
842C22⋊C8—41no—
843C22⋊C8—41no—
844C22⋊C8—41no—
845C22⋊C8—41no—
846C22⋊C8—41no—
847C22⋊C8—41no—
848C22⋊C8—41no—
849C22⋊C8—41no—
850C22⋊C8—41no—
851C22⋊C8—41no—
852C22⋊C8—41no—
853C22⋊C8—41no—
854C22⋊C8—41no—
855C22⋊C8—41no—
856C22⋊C8—41no—
857C22⋊C8—41no—
858C22⋊C8—41no—
859C22⋊C8—41no—
860C22⋊C8—41no—
861C22⋊C8—41no—
862C22⋊C8—41no—
863C22⋊C8—41no—
864C22⋊C8—41no—
865C22⋊C8—41no—
866#97—22no—
867#97—22no—
868#97—41no—
869#97—41no—
870#97—41no—
871#97—41no—
872C4×C8—22no—
873C4×C8—22no—
874C4×C8—41no—
875C4×C8—41no—
876C4×C8—41no—
877C4×C8—41no—
878C4×C8—41no—
879C4×C8—41no—
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
900C24—22no—
901C24—22no—
902C24—22no—
903C24—22no—
904C24—41no—
905C24—41no—
906C24—41no—
907C24—41no—
908C24—41no—
909C24—41no—
910C24—41no—
911C24—41no—
912C24—41no—
913C24—41no—
914C24C23×C411yescharacteristic
915C24C23×C411yescharacteristic
916C24C23×C411yescharacteristic
917C24C23×C411yescharacteristic
918C24C23×C411yescharacteristic
919C24C23×C411yescharacteristic
920C24C23×C411yescharacteristic
921C24C23×C411yescharacteristic
922#41—82no—
923#41—82no—
924#41—82no—
925#41—82no—
926#41—82no—
927#41—82no—
928#41—82no—
929#41—82no—
930C2×Q8—22no—
931C2×Q8—41no—
932C2×Q8—41no—
933C2×Q8—41no—
934C2×Q8—41no—
935C2×Q8—41no—
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—22no—
945C2×D4—22no—
946C2×D4—22no—
947C2×D4—22no—
948C2×D4—22no—
949C2×D4—22no—
950C2×D4—22no—
951C2×D4—22no—
952C2×D4—22no—
953C2×D4—22no—
954C2×D4—22no—
955C2×D4—22no—
956C2×D4—22no—
957C2×D4—22no—
958C2×D4—22no—
959C2×D4—22no—
960C2×D4—41no—
961C2×D4—41no—
962C2×D4—41no—
963C2×D4—41no—
964C2×D4—41no—
965C2×D4—41no—
966C2×D4—41no—
967C2×D4—41no—
968C2×D4—41no—
969C2×D4—41no—
970C2×D4—41no—
971C2×D4—41no—
972C2×D4—41no—
973C2×D4—41no—
974C2×D4—41no—
975C2×D4—41no—
976C2×D4—41no—
977C2×D4—41no—
978C2×D4—41no—
979C2×D4—41no—
980C2×D4—41no—
981C2×D4—41no—
982C2×D4—41no—
983C2×D4—41no—
984C2×D4—41no—
985C2×D4—41no—
986C2×D4—41no—
987C2×D4—41no—
988C2×D4—41no—
989C2×D4—41no—
990C2×D4—41no—
991C2×D4—41no—
992C2×D4—41no—
993C2×D4—41no—
994C2×D4—41no—
995C2×D4—41no—
996C2×D4—41no—
997C2×D4—41no—
998C2×D4—41no—
999C2×D4—41no—
1000C2×D4—41no—
1001C2×D4—41no—
1002C2×D4—416no—
1003C22×C4—21no—
1004C22×C4—21no—
1005C22×C4—21no—
1006C22×C4—21no—
1007C22×C4—22no—
1008C22×C4—21no—
1009C22×C4—21no—
1010C22×C4—21no—
1011C22×C4—21no—
1012C22×C4—21no—
1013C22×C4—21no—
1014C22×C4—21no—
1015C22×C4—21no—
1016C22×C4—21no—
1017C22×C4—21no—
1018C22×C4—21no—
1019C22×C4—21no—
1020C22×C4—21no—
1021C22×C4—21no—
1022C22×C4—21no—
1023C22×C4—21no—
1024C22×C4—21no—
1025C22×C4—21no—
1026C22×C4—21no—
1027C22×C4—21no—
1028C22×C4—21no—
1029C22×C4—21no—
1030C22×C4—21no—
1031C22×C4—21no—
1032C22×C4—21no—
1033C22×C4—21no—
1034C22×C4—21no—
1035C22×C4—21no—
1036C22×C4—21no—
1037C22×C4—21no—
1038C22×C4—21no—
1039C22×C4—21no—
1040C22×C4—21no—
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—21no—
1050C22×C4—22no—
1051C22×C4—22no—
1052C22×C4—22no—
1053C22×C4—41no—
1054C22×C4—41no—
1055C22×C4—41no—
1056C22×C4—41no—
1057C22×C4—41no—
1058C22×C4—41no—
1059C22×C4—41no—
1060C22×C4—41no—
1061C22×C4—41no—
1062C22×C4—41no—
1063C22×C4—41no—
1064C22×C4—41no—
1065C22×C4—41no—
1066C22×C4—41no—
1067C22×C4—41no—
1068C22×C4—41no—
1069C22×C4—41no—
1070C22×C4—41no—
1071C22×C4—41no—
1072C22×C4—41no—
1073C22×C4—41no—
1074C22×C4—41no—
1075C22×C4—41no—
1076C22×C4—41no—
1077C22×C4—41no—
1078C22×C4—82no—
1079C22×C4—82no—
1080C22×C4—82no—
1081C22×C4—82no—
1082C22×C4—82no—
1083C22×C4—82no—
1084C22×C4—82no—
1085C22×C4—82no—
1086C22×C4#13114yes—
1087C22×C4C23×C411yescharacteristic
1088C22×C4C23×C411yescharacteristic
1089C22×C4C23×C411yescharacteristic
1090C22×C4C23×C411yescharacteristic
1091C22×C4C23×C411yescharacteristic
1092C22×C4C23×C411yescharacteristic
1093C22×C4C23×C411yescharacteristic
1094C22×C4C23×C411yescharacteristic
1095C22×C4C23×C411yescharacteristic
1096C22×C4C23×C411yescharacteristic
1097C22×C4C23×C411yescharacteristic
1098C22×C4C23×C411yescharacteristic
1099C22×C4C23×C411yescharacteristic
1100C22×C4C23×C411yescharacteristic
1101C22×C4C23×C411yescharacteristic
1102C22×C4C23×C411yescharacteristic
1103C22×C4C23×C411yescharacteristic
1104C22×C4C23×C411yescharacteristic
1105C22×C4C23×C411yescharacteristic
1106C22×C4C23×C411yescharacteristic
1107C22×C4C23×C411yescharacteristic
1108C22×C4C23×C411yescharacteristic
1109C22×C4H(5,𝔽2)12yes—
1110C22×C4H(5,𝔽2)12yes—
1111C22×C4C2511yescharacteristic
1112M16—44no—
1113M16—82no—
1114M16—82no—
1115M16—82no—
1116M16—82no—
1117M16—82no—
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—21no—
1131C2×C8—21no—
1132C2×C8—21no—
1133C2×C8—21no—
1134C2×C8—21no—
1135C2×C8—21no—
1136C2×C8—21no—
1137C2×C8—21no—
1138C2×C8—21no—
1139C2×C8—21no—
1140C2×C8—21no—
1141C2×C8—21no—
1142C2×C8—21no—
1143C2×C8—21no—
1144C2×C8—21no—
1145C2×C8—21no—
1146C2×C8—21no—
1147C2×C8—21no—
1148C2×C8—21no—
1149C2×C8—21no—
1150C2×C8—21no—
1151C2×C8—21no—
1152C2×C8—21no—
1153C2×C8—21no—
1154C2×C8—21no—
1155C2×C8—21no—
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—44no—
1166C2×C8—82no—
1167C2×C8—82no—
1168C2×C8—82no—
1169C2×C8—82no—
1170C2×C8—82no—
1171C2×C8H(5,𝔽2)12yes—
1172C4⋊C4—22no—
1173C4⋊C4—22no—
1174C4⋊C4—22no—
1175C4⋊C4—22no—
1176C4⋊C4—22no—
1177C4⋊C4—22no—
1178C4⋊C4—22no—
1179C4⋊C4—22no—
1180C4⋊C4—22no—
1181C4⋊C4—22no—
1182C4⋊C4—22no—
1183C4⋊C4—22no—
1184C4⋊C4—41no—
1185C4⋊C4—41no—
1186C4⋊C4—41no—
1187C4⋊C4—41no—
1188C4⋊C4—41no—
1189C4⋊C4—41no—
1190C4⋊C4—41no—
1191C4⋊C4—41no—
1192C4⋊C4—41no—
1193C4⋊C4—41no—
1194C4⋊C4—41no—
1195C4⋊C4—41no—
1196C22⋊C4—22no—
1197C22⋊C4—22no—
1198C22⋊C4—22no—
1199C22⋊C4—22no—
1200C22⋊C4—22no—
1201C22⋊C4—22no—
1202C22⋊C4—22no—
1203C22⋊C4—22no—
1204C22⋊C4—22no—
1205C22⋊C4—22no—
1206C22⋊C4—22no—
1207C22⋊C4—22no—
1208C22⋊C4—22no—
1209C22⋊C4—22no—
1210C22⋊C4—22no—
1211C22⋊C4—22no—
1212C22⋊C4—22no—
1213C22⋊C4—22no—
1214C22⋊C4—22no—
1215C22⋊C4—22no—
1216C22⋊C4—22no—
1217C22⋊C4—22no—
1218C22⋊C4—22no—
1219C22⋊C4—22no—
1220C22⋊C4—22no—
1221C22⋊C4—41no—
1222C22⋊C4—41no—
1223C22⋊C4—41no—
1224C22⋊C4—41no—
1225C22⋊C4—41no—
1226C22⋊C4—41no—
1227C22⋊C4—41no—
1228C22⋊C4—41no—
1229C22⋊C4—41no—
1230C22⋊C4—41no—
1231C22⋊C4—41no—
1232C22⋊C4—41no—
1233C22⋊C4—41no—
1234C22⋊C4—41no—
1235C22⋊C4—41no—
1236C22⋊C4—41no—
1237C22⋊C4—41no—
1238C22⋊C4—41no—
1239C22⋊C4—41no—
1240C22⋊C4—41no—
1241C22⋊C4—41no—
1242C22⋊C4—41no—
1243C22⋊C4—41no—
1244C22⋊C4—41no—
1245C22⋊C4—41no—
1246C22⋊C4—41no—
1247C22⋊C4—41no—
1248C42—22no—
1249C42—22no—
1250C42—21no—
1251C42—21no—
1252C42—21no—
1253C42—21no—
1254C42—21no—
1255C42—21no—
1256C42—21no—
1257C42—21no—
1258C42—21no—
1259C42—21no—
1260C42—21no—
1261C42—21no—
1262C42—41no—
1263C42—41no—
1264C42—41no—
1265C42—41no—
1266C42—41no—
1267C42—41no—
1268C42H(5,𝔽2)12yes—
1269C42H(5,𝔽2)12yes—
1270C23—28no—
1271C23—21no—
1272C23—21no—
1273C23—21no—
1274C23—21no—
1275C23—21no—
1276C23—21no—
1277C23—21no—
1278C23—21no—
1279C23—21no—
1280C23—21no—
1281C23—21no—
1282C23—21no—
1283C23—21no—
1284C23—21no—
1285C23—21no—
1286C23—21no—
1287C23—21no—
1288C23—21no—
1289C23—21no—
1290C23—21no—
1291C23—21no—
1292C23—21no—
1293C23—21no—
1294C23—21no—
1295C23—21no—
1296C23—21no—
1297C23—21no—
1298C23—21no—
1299C23—21no—
1300C23—21no—
1301C23—21no—
1302C23—21no—
1303C23—21no—
1304C23—21no—
1305C23—21no—
1306C23—21no—
1307C23—21no—
1308C23—21no—
1309C23—21no—
1310C23—21no—
1311C23—21no—
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—44no—
1325C23—82no—
1326C23—82no—
1327C23—82no—
1328C23—82no—
1329C23—82no—
1330C23—82no—
1331C23—82no—
1332C23—82no—
1333C23—82no—
1334C23—82no—
1335C23—82no—
1336C23—82no—
1337C23#51812yes—
1338C23C2×#13112yes—
1339C23#56812yes—
1340C23C24×C411yescharacteristic
1341Q8—82no—
1342Q8—82no—
1343D4—44no—
1344D4—44no—
1345D4—44no—
1346D4—44no—
1347D4—44no—
1348D4—44no—
1349D4—44no—
1350D4—82no—
1351D4—82no—
1352D4—82no—
1353D4—82no—
1354D4—82no—
1355D4—82no—
1356D4—82no—
1357D4—82no—
1358D4—82no—
1359D4—82no—
1360D4—82no—
1361D4—82no—
1362D4—82no—
1363D4—82no—
1364D4—82no—
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—22no—
1378C2×C4—22no—
1379C2×C4—22no—
1380C2×C4—22no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
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—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—44no—
1430C2×C4—41no—
1431C2×C4—41no—
1432C2×C4—41no—
1433C2×C4—41no—
1434C2×C4—41no—
1435C2×C4—41no—
1436C2×C4—41no—
1437C2×C4—41no—
1438C2×C4—41no—
1439C2×C4—41no—
1440C2×C4—41no—
1441C2×C4—41no—
1442C2×C4—41no—
1443C2×C4—41no—
1444C2×C4—41no—
1445C2×C4—41no—
1446C2×C4—41no—
1447C2×C4—41no—
1448C2×C4—41no—
1449C2×C4—41no—
1450C2×C4—41no—
1451C2×C4—41no—
1452C2×C4—41no—
1453C2×C4—41no—
1454C2×C4—41no—
1455C2×C4—41no—
1456C2×C4—41no—
1457C2×C4—41no—
1458C2×C4—82no—
1459C2×C4—82no—
1460C2×C4—82no—
1461C2×C4—82no—
1462C2×C4—82no—
1463C2×C4—82no—
1464C2×C4—82no—
1465C2×C4—82no—
1466C2×C4—82no—
1467C2×C4#51812yes—
1468C2×C4#51812yes—
1469C2×C4#51812yes—
1470C2×C4C2×#13112yes—
1471C2×C4C2×#13112yes—
1472C2×C4#56812yes—
1473C2×C4C2×H(5,𝔽2)11yescharacteristic
1474C2×C4C2×H(5,𝔽2)11yescharacteristic
1475C2×C4C2×H(5,𝔽2)11yescharacteristic
1476C2×C4C2×H(5,𝔽2)11yescharacteristic
1477C2×C4C2×H(5,𝔽2)11yescharacteristic
1478C2×C4#58511yescharacteristic
1479C8—22no—
1480C8—41no—
1481C8—41no—
1482C8—41no—
1483C8—41no—
1484C8—41no—
1485C8—41no—
1486C8—41no—
1487C8—41no—
1488C8—41no—
1489C8—41no—
1490C8—41no—
1491C8—41no—
1492C8—41no—
1493C8—41no—
1494C8—41no—
1495C22—22no—
1496C22—22no—
1497C22—22no—
1498C22—22no—
1499C22—22no—
1500C22—22no—
1501C22—22no—
1502C22—22no—
1503C22—22no—
1504C22—41no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—41no—
1529C22—41no—
1530C22—41no—
1531C22—41no—
1532C22—41no—
1533C22—41no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—88no—
1552C22—88no—
1553C22C2×#51811yescharacteristic
1554C22C2×#51811yescharacteristic
1555C22C4×H(5,𝔽2)11yescharacteristic
1556C22C22×#13111yescharacteristic
1557C22C2×#56811yescharacteristic
1558C22C2×#56811yescharacteristic
1559C22#357311yescharacteristic
1560C4—22no—
1561C4—22no—
1562C4—22no—
1563C4—22no—
1564C4—22no—
1565C4—22no—
1566C4—41no—
1567C4—41no—
1568C4—41no—
1569C4—41no—
1570C4—41no—
1571C4—41no—
1572C4—41no—
1573C4—41no—
1574C4—41no—
1575C4—41no—
1576C4—41no—
1577C4—41no—
1578C4—41no—
1579C4—41no—
1580C4—41no—
1581C4—41no—
1582C4#353711yescharacteristic
1583C4#354211yescharacteristic
1584C4#354311yescharacteristic
1585C4#355811yescharacteristic
1586C2—42no—
1587C2—42no—
1588C2—42no—
1589C2—81no—
1590C2—81no—
1591C2—81no—
1592C2—81no—
1593C2—81no—
1594C2#3447111yescharacteristic
1595C2#6023311yescharacteristic
1596C2#6023611yescharacteristic
1597C2#6024011yescharacteristic
1598C2#6024111yescharacteristic
1599C2#6031411yescharacteristic
1600C2#6032111yescharacteristic
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
2. #23334C2semidirect
3. #23329C2semidirect
4. #23310C2semidirect
5. #23307C2semidirect
6. #23174C2semidirect
7. #23089C2semidirect
8. #22994C2semidirect
9. #22853C2semidirect
10. #22846C2semidirect
11. #22837C2semidirect
12. #22756C2semidirect
13. #22403C2semidirect
14. #22401C2semidirect
15. #22400C2semidirect
16. #22398C2semidirect
17. #22335C2semidirect
18. #22329C2semidirect
19. #22262C2semidirect
20. #22144C2semidirect
21. #22039C2semidirect
22. #22038C2semidirect
23. #22032C2semidirect
24. #22029C2semidirect
25. #22008C2semidirect
26. #21792C2semidirect
27. #21745C2semidirect
28. #21738C2semidirect
29. #21496C2semidirect
30. #21191C2semidirect
31. #21110C2semidirect
38. C2×#436C22semidirect
39. C2×#436C22semidirect
40. C2×#435C22semidirect
41. C2×#435C22semidirect
42. C2×#435C22semidirect
43. C2×#435C22semidirect
44. C2×C8×D4C22semidirect
45. C2×C8×D4C22semidirect
46. C2×#433C22semidirect
47. C2×#433C22semidirect
48. C2×#424C22semidirect
49. C2×#408C22semidirect
50. C2×#408C22semidirect
51. C2×#408C22semidirect
52. C2×#408C22semidirect
57. C2×#405C22semidirect
89. #1955C22semidirect
90. #1955C22semidirect
91. #1955C22semidirect
92. #1955C22semidirect
93. #1955C22semidirect
94. #1955C22semidirect
101. #1954C22semidirect
102. #1954C22semidirect
103. #1954C22semidirect
104. #1954C22semidirect
105. #1954C22semidirect
106. #1954C22semidirect
107. #1939C22semidirect
108. #1939C22semidirect
111. #1924C22semidirect
112. #1924C22semidirect
113. #1924C22semidirect
114. #1924C22semidirect
115. #1924C22semidirect
116. #1924C22semidirect
119. #1923C22semidirect
120. #1923C22semidirect
121. #1923C22semidirect
122. #1923C22semidirect
123. #1923C22semidirect
124. #1923C22semidirect
125. #1923C22semidirect
126. #1923C22semidirect
127. #1923C22semidirect
128. #1923C22semidirect
129. #1917C22semidirect
130. #1917C22semidirect
131. #1916C22semidirect
132. #1916C22semidirect
139. #1870C22semidirect
140. #1870C22semidirect
141. #1870C22semidirect
142. #1870C22semidirect
143. #1870C22semidirect
144. #1870C22semidirect
145. #1870C22semidirect
146. #1870C22semidirect
157. #1869C22semidirect
158. #1869C22semidirect
159. #1869C22semidirect
160. #1869C22semidirect
161. #1869C22semidirect
162. #1869C22semidirect
163. #1869C22semidirect
164. #1869C22semidirect
165. #1851C22semidirect
166. #1851C22semidirect
167. #1851C22semidirect
168. #1851C22semidirect
169. #1850C22semidirect
170. #1850C22semidirect
171. #1831C22semidirect
174. #1817C22semidirect
175. #1817C22semidirect
176. #1798C22semidirect
177. #1798C22semidirect
179. #1797C22semidirect
180. #1780C22semidirect
181. #1780C22semidirect
182. #1780C22semidirect
183. #1780C22semidirect
188. #1771C22semidirect
189. #1771C22semidirect
190. #1767C22semidirect
191. C4×C4⋊C8C22semidirect
192. #1753C22semidirect
193. #1753C22semidirect
194. #1752C22semidirect
195. C8×C22⋊C4C22semidirect
196. C8×C22⋊C4C22semidirect
197. C8×C22⋊C4C22semidirect
198. #1750C22semidirect
199. #1750C22semidirect
200. #1749C22semidirect
202. #1744C22semidirect

Maximal subgroups

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

subgroupindex
#346812
#233342
#233292
#233102
#233072
#231742
#230892
#229942
#228532
#228462
#228372
#227562
#224032
#224012
#224002
#223982
#223352
#223292
#222622
#221442
#220392
#220382
#220322
#220292
#220082
#217922
#217452
#217382
#214962
#211912
#211102