Finite Group Databasebeta

← #6422656

Subgroups — #6422656

Order 512.

2070 conjugacy classes of subgroups.

The subgroup lattice has 1610 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#34655C211yesmaximal, characteristic
2#23331C211yesmaximal, characteristic, complemented
3#23328C211yesmaximal, characteristic, complemented
4#23312C211yesmaximal, characteristic, complemented
5#23307C211yesmaximal, characteristic, complemented
6#23177C211yesmaximal, characteristic, complemented
7#23090C211yesmaximal, characteristic, complemented
8#22987C211yesmaximal, characteristic, complemented
9#22846C211yesmaximal, characteristic, complemented
10#22842C211yesmaximal, characteristic, complemented
11#22840C211yesmaximal, characteristic, complemented
12#22754C211yesmaximal, characteristic, complemented
13#22399C211yesmaximal, characteristic, complemented
14#22398C211yesmaximal, characteristic, complemented
15#22398C211yesmaximal, characteristic, complemented
16D4×C22⋊C8C211yesmaximal, characteristic, complemented
17#22334C211yesmaximal, characteristic, complemented
18#22329C211yesmaximal, characteristic, complemented
19#22267C211yesmaximal, characteristic, complemented
20#22142C211yesmaximal, characteristic, complemented
21#22033C211yesmaximal, characteristic, complemented
22#22032C211yesmaximal, characteristic, complemented
23#22030C211yesmaximal, characteristic, complemented
24#22028C211yesmaximal, characteristic, complemented
25#22016C211yesmaximal, characteristic, complemented
26#21792C211yesmaximal, characteristic, complemented
27#21740C211yesmaximal, characteristic, complemented
28#21739C211yesmaximal, characteristic, complemented
29C8×#121C211yesmaximal, characteristic, complemented
30C2×#1954C211yesmaximal, characteristic, complemented
31#21103C211yesmaximal, characteristic, complemented
32C2×#525C2211yescharacteristic
33C2×#525C2211yescharacteristic
34C22×C4×D4C2211yescharacteristic
35C22×C4×D4C2211yescharacteristic
36C2×#435C2211yescharacteristic, complemented
37C2×#435C2211yescharacteristic, complemented
38C2×#435C2211yescharacteristic, complemented
39C2×#435C2211yescharacteristic, complemented
40C2×#435C2211yescharacteristic, complemented
41C2×C8×D4C2211yescharacteristic
42C2×C8×D4C2211yescharacteristic
43C2×C8×D4C2211yescharacteristic, complemented
44C2×C8×D4C2211yescharacteristic, complemented
45C2×C8×D4C2211yescharacteristic, complemented
46C2×#433C2211yescharacteristic, complemented
47C2×#433C2211yescharacteristic, complemented
48C22×C4⋊C8C2211yescharacteristic, complemented
49C2×#408C2211yescharacteristic, complemented
50C2×#407C2211yescharacteristic
51C22×C22⋊C8C2211yescharacteristic
52C22×C22⋊C8C2211yescharacteristic
53C22×C22⋊C8C2211yescharacteristic, complemented
54C22×C22⋊C8C2211yescharacteristic, complemented
55C22×C22⋊C8C2211yescharacteristic, complemented
56C22×C22⋊C8C2211yescharacteristic, complemented
57C22×C4×C8C2211yescharacteristic, complemented
58#2463C411yescharacteristic
59#2456C411yescharacteristic
60#2456C411yescharacteristic
61#2455C411yescharacteristic
62#2449C411yescharacteristic
63#2449C411yescharacteristic
64#2443C411yescharacteristic
65#2443C411yescharacteristic
66#2437C411yescharacteristic
67#2424C411yescharacteristic
68#2424C411yescharacteristic
69#2418C411yescharacteristic
70#2418C411yescharacteristic
71#2410C411yescharacteristic
72#2410C411yescharacteristic
73#2403C411yescharacteristic
74#2397C2211yescharacteristic
75#2392C2211yescharacteristic
76#2392C2211yescharacteristic
77#2388C2211yescharacteristic
78C4×#121C2211yescharacteristic
79C4×#121C2211yescharacteristic
80C4×#120C2211yescharacteristic
81C4×#120C2211yescharacteristic
82C4×#120C2211yescharacteristic
83#2290C2211yescharacteristic
84#2290C2211yescharacteristic
85#1955C2211yescharacteristic
86#1955C2211yescharacteristic
87#1955C2211yescharacteristic, complemented
88#1955C2211yescharacteristic, complemented
89#1955C2211yescharacteristic, complemented
90#1955C2211yescharacteristic, complemented
91#1955C2211yescharacteristic, complemented
92#1954C2211yescharacteristic
93#1954C2211yescharacteristic
94#1954C2211yescharacteristic
95#1954C2211yescharacteristic
96#1954C2211yescharacteristic, complemented
97#1954C2211yescharacteristic, complemented
98#1954C2211yescharacteristic, complemented
99#1954C2211yescharacteristic, complemented
100#1954C2211yescharacteristic, complemented
101#1954C2211yescharacteristic, complemented
102#1954C2211yescharacteristic, complemented
103#1954C2211yescharacteristic, complemented
104#1954C2211yescharacteristic, complemented
105#1954C2211yescharacteristic, complemented
106#1954C2211yescharacteristic, complemented
107#1940C2211yescharacteristic, complemented
108#1939C2211yescharacteristic, complemented
109#1924C2211yescharacteristic, complemented
110#1924C2211yescharacteristic, complemented
111#1924C2211yescharacteristic, complemented
112#1924C2211yescharacteristic, complemented
113#1924C2211yescharacteristic, complemented
114#1924C2211yescharacteristic, complemented
115#1924C2211yescharacteristic, complemented
116#1923C2211yescharacteristic, 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#1923C2211yescharacteristic, complemented
128#1923C2211yescharacteristic, complemented
129#1917C2211yescharacteristic, complemented
130#1916C2211yescharacteristic, complemented
131#1916C2211yescharacteristic, complemented
132#1916C2211yescharacteristic, complemented
133#1870C2211yescharacteristic, complemented
134#1870C2211yescharacteristic, complemented
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, complemented
152#1869C2211yescharacteristic, complemented
153#1869C2211yescharacteristic, complemented
154#1869C2211yescharacteristic, complemented
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#1869C2211yescharacteristic, complemented
164#1869C2211yescharacteristic, complemented
165#1851C2211yescharacteristic, complemented
166#1851C2211yescharacteristic, complemented
167#1850C2211yescharacteristic, complemented
168#1850C2211yescharacteristic, complemented
169#1850C2211yescharacteristic, complemented
170#1850C2211yescharacteristic, complemented
171#1832C2211yescharacteristic, complemented
172#1818C2211yescharacteristic, complemented
173#1818C2211yescharacteristic, complemented
174#1817C2211yescharacteristic, complemented
175#1817C2211yescharacteristic, complemented
176#1798C2211yescharacteristic, complemented
177#1798C2211yescharacteristic, complemented
178#1797C2211yescharacteristic, complemented
179#1797C2211yescharacteristic, complemented
180#1780C2211yescharacteristic, complemented
181#1780C2211yescharacteristic, complemented
182#1780C2211yescharacteristic, complemented
183#1779C2211yescharacteristic
184#1779C2211yescharacteristic, complemented
185#1779C2211yescharacteristic, complemented
186#1779C2211yescharacteristic, complemented
187#1779C2211yescharacteristic, complemented
188#1771C2211yescharacteristic, complemented
189C8×C4⋊C4C2211yescharacteristic, complemented
190#1768C2211yescharacteristic, complemented
191#1768C2211yescharacteristic, complemented
192#1753C2211yescharacteristic, complemented
193#1752C2211yescharacteristic, complemented
194C8×C22⋊C4C2211yescharacteristic, 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, complemented
202#1746C2211yescharacteristic, complemented
203C22×#41C2311yescharacteristic
204C23×D4C2×C411yescharacteristic
205C23×D4C2×C411yescharacteristic
206C24×C4C2311yescharacteristic
207C24×C4C2311yescharacteristic
208C24×C4C2311yescharacteristic
209C22×M16C2311yescharacteristic
210C22×M16C2311yescharacteristic
211C22×M16C2311yescharacteristic
212C23×C8C2311yescharacteristic
213C23×C8C2311yescharacteristic
214C23×C8C2311yescharacteristic
215C23×C8C2311yescharacteristic
216C23×C8C2311yescharacteristic
217C23×C8C2311yescharacteristic
218C23×C8C2311yescharacteristic
219C23×C8C2311yescharacteristic
220C23×C8C2311yescharacteristic
221#525—42no—
222#525—42no—
223#525—42no—
224#525—42no—
225C2×#123C2×C411yescharacteristic
226C2×#123C2×C411yescharacteristic
227C2×#123C2×C411yescharacteristic
228C2×#123C2×C411yescharacteristic
229C2×C22⋊Q8C2×C411yescharacteristic
230C2×C22⋊Q8C2×C411yescharacteristic
231C2×C22⋊Q8C2×C411yescharacteristic
232C2×C22⋊Q8C2×C411yescharacteristic
233C2×#121C2×C411yescharacteristic
234C2×#121C2×C411yescharacteristic
235C2×#121C2×C411yescharacteristic
236C2×#121C2×C411yescharacteristic
237C2×#121C2×C411yescharacteristic
238C2×#121C2×C411yescharacteristic
239C2×#120C2×C411yescharacteristic
240C2×#120C2×C411yescharacteristic
241C2×#120C2×C411yescharacteristic
242C2×#120C2×C411yescharacteristic
243C2×#120C2×C411yescharacteristic
244C2×#120C2×C411yescharacteristic
245C2×#120C2×C411yescharacteristic
246C2×C4×D4—42no—
247C2×C4×D4—42no—
248C2×C4×D4—42no—
249C2×C4×D4—42no—
250C2×C4×D4C2×C411yescharacteristic
251C2×C4×D4C2×C411yescharacteristic
252C2×C4×D4C2×C411yescharacteristic
253C2×C4×D4C2×C411yescharacteristic
254C2×C4×D4C2×C411yescharacteristic
255C2×C4×D4C2×C411yescharacteristic
256C2×C4×D4C2×C411yescharacteristic
257C2×C4×D4C2×C411yescharacteristic
258C2×C4×D4C2311yescharacteristic
259C2×C4×D4C2311yescharacteristic
260C2×C4×D4C2311yescharacteristic
261C2×C4×D4C2311yescharacteristic
262C2×C4×D4C2311yescharacteristic
263C2×C4×D4C2311yescharacteristic
264C2×C4×D4C2311yescharacteristic
265C2×C4×D4C2311yescharacteristic
266C2×C4×D4C2311yescharacteristic
267C2×C4×D4C2311yescharacteristic
268C2×C4×D4C2311yescharacteristic
269C2×C4×D4C2311yescharacteristic
270C2×C4×D4C2311yescharacteristic
271C2×C4×D4C2311yescharacteristic
272C2×C4×D4C2311yescharacteristic
273C2×C4×D4C2311yescharacteristic
274C2×#117C2311yescharacteristic
275C2×#117C2311yescharacteristic
276C22×C4⋊C4C2×C411yescharacteristic
277C22×C4⋊C4C2×C411yescharacteristic
278C22×C22⋊C4C2×C411yescharacteristic
279C22×C22⋊C4C2×C411yescharacteristic
280C22×C22⋊C4C2×C411yescharacteristic
281C22×C22⋊C4C2×C411yescharacteristic
282C22×C42C2311yescharacteristic
283C22×C42C2311yescharacteristic
284#435—42no—
285#435—42no—
286#435—42no—
287#435—42no—
288#435—42no—
289C8×D4—42no—
290C8×D4—42no—
291C8×D4—42no—
292C8×D4—42no—
293C8×D4—42no—
294#433—42no—
295#433—42no—
296C2×C4⋊C8—42no—
297C2×C4⋊C8C2311yescharacteristic
298C2×C4⋊C8C2311yescharacteristic
299C2×C4⋊C8C2311yescharacteristic
300C2×C4⋊C8C2311yescharacteristic
301C2×C4⋊C8C2311yescharacteristic
302C2×C4⋊C8C2311yescharacteristic
303C2×C4⋊C8C2311yescharacteristic
304C2×C4⋊C8C2311yescharacteristic
305C2×C4⋊C8C2311yescharacteristic
306C2×C4⋊C8C2311yescharacteristic
307C2×C4⋊C8C2311yescharacteristic
308C2×C4⋊C8C2311yescharacteristic
309C2×C4⋊C8C2311yescharacteristic
310C2×C4⋊C8C2311yescharacteristic
311#408—42no—
312#407—42no—
313C2×C22⋊C8—42no—
314C2×C22⋊C8—42no—
315C2×C22⋊C8—42no—
316C2×C22⋊C8—42no—
317C2×C22⋊C8—42no—
318C2×C22⋊C8—42no—
319C2×C22⋊C8C2311yescharacteristic
320C2×C22⋊C8C2311yescharacteristic
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×#97C2311yescharacteristic
372C2×#97C2311yescharacteristic
373C2×#97C2311yescharacteristic
374C2×#97C2311yescharacteristic
375C2×#97C2311yescharacteristic
376C2×C4×C8—42no—
377C2×C4×C8C2311yescharacteristic
378C2×C4×C8C2311yescharacteristic
379C2×C4×C8C2311yescharacteristic
380C2×C4×C8C2311yescharacteristic
381C2×C4×C8C2311yescharacteristic
382C2×C4×C8C2311yescharacteristic
383C2×C4×C8C2311yescharacteristic
384C2×C4×C8C2311yescharacteristic
385C2×C4×C8C2311yescharacteristic
386#399C2×C411yescharacteristic
387#399C2×C411yescharacteristic
388#399C2×C411yescharacteristic
389#399C2×C411yescharacteristic
390#398C2×C411yescharacteristic
391#398C2×C411yescharacteristic
392#397C2×C411yescharacteristic
393#397C2×C411yescharacteristic
394#396C2×C411yescharacteristic
395#396C2×C411yescharacteristic
396#396C2×C411yescharacteristic
397#396C2×C411yescharacteristic
398#395C2×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#393C2×C411yescharacteristic
409#392C2×C411yescharacteristic
410#392C2×C411yescharacteristic
411#392C2×C411yescharacteristic
412#392C2×C411yescharacteristic
413#392C2×C411yescharacteristic
414#392C2×C411yescharacteristic
415#392C2×C411yescharacteristic
416#392C2×C411yescharacteristic
417#392C2×C411yescharacteristic
418#390C2×C411yescharacteristic
419#390C2×C411yescharacteristic
420#389C2×C411yescharacteristic
421#389C2×C411yescharacteristic
422#388C2×C411yescharacteristic
423#388C2×C411yescharacteristic
424#388C2×C411yescharacteristic
425#388C2×C411yescharacteristic
426#388C2×C411yescharacteristic
427#388C2×C411yescharacteristic
428#388C2×C411yescharacteristic
429#388C2×C411yescharacteristic
430#387C2×C411yescharacteristic
431#387C2×C411yescharacteristic
432#387C2×C411yescharacteristic
433#387C2×C411yescharacteristic
434#386C2×C411yescharacteristic
435#386C2×C411yescharacteristic
436#386C2×C411yescharacteristic
437#386C2×C411yescharacteristic
438#386C2×C411yescharacteristic
439#386C2×C411yescharacteristic
440#386C2×C411yescharacteristic
441#386C2×C411yescharacteristic
442#386C2×C411yescharacteristic
443#386C2×C411yescharacteristic
444#386C2×C411yescharacteristic
445#386C2×C411yescharacteristic
446#386C2×C411yescharacteristic
447#386C2×C411yescharacteristic
448#386C2×C411yescharacteristic
449#386C2×C411yescharacteristic
450#386C2×C411yescharacteristic
451#385C2×C411yescharacteristic
452#385C2×C411yescharacteristic
453#385C2×C411yescharacteristic
454#385C2×C411yescharacteristic
455#385C2×C411yescharacteristic
456#385C2×C411yescharacteristic
457#385C2×C411yescharacteristic
458#385C2×C411yescharacteristic
459#385C2×C411yescharacteristic
460#385C2×C411yescharacteristic
461#385C2×C411yescharacteristic
462#385C2×C411yescharacteristic
463#385C2×C411yescharacteristic
464#380C2×C411yescharacteristic
465#380C2×C411yescharacteristic
466#379C2×C411yescharacteristic
467#379C2×C411yescharacteristic
468#379C2×C411yescharacteristic
469C4×C4⋊C4C2311yescharacteristic
470C4×C4⋊C4C2311yescharacteristic
471C4×C22⋊C4C2311yescharacteristic
472C4×C22⋊C4C2311yescharacteristic
473C4×C22⋊C4C2311yescharacteristic
474C4×C22⋊C4C2311yescharacteristic
475C4×C22⋊C4C2311yescharacteristic
476C4×C22⋊C4C2311yescharacteristic
477C4×C22⋊C4C2311yescharacteristic
478C4×C22⋊C4C2311yescharacteristic
479#376C2311yescharacteristic
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
510C25C22×C411yescharacteristic
511C2×#41—41no—
512C2×#41—41no—
513C2×#41—41no—
514C2×#41—41no—
515C2×#41—41no—
516C2×#41—41no—
517C22×Q8C22×C411yescharacteristic
518C22×D4—24no—
519C22×D4—24no—
520C22×D4—42no—
521C22×D4—42no—
522C22×D4—42no—
523C22×D4—42no—
524C22×D4C22×C411yescharacteristic
525C22×D4C22×C411yescharacteristic
526C22×D4C22×C411yescharacteristic
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
543C23×C4—22no—
544C23×C4—22no—
545C23×C4—22no—
546C23×C4—22no—
547C23×C4—41no—
548C23×C4—41no—
549C23×C4—41no—
550C23×C4—41no—
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×C4C22×C411yescharacteristic
572C23×C4C22×C411yescharacteristic
573C23×C4C22×C411yescharacteristic
574C23×C4C2411yescharacteristic
575C23×C4C2411yescharacteristic
576C23×C4C2411yescharacteristic
577C23×C4C2411yescharacteristic
578C23×C4C2411yescharacteristic
579C23×C4C2411yescharacteristic
580C23×C4C2411yescharacteristic
581C23×C4C2411yescharacteristic
582C2×M16—41no—
583C2×M16—41no—
584C2×M16—41no—
585C2×M16—41no—
586C2×M16—41no—
587C2×M16—41no—
588C2×M16—41no—
589C2×M16—41no—
590C2×M16—41no—
591C22×C8—22no—
592C22×C8—22no—
593C22×C8—22no—
594C22×C8—22no—
595C22×C8—22no—
596C22×C8—22no—
597C22×C8—22no—
598C22×C8—41no—
599C22×C8—41no—
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×C8—41no—
616C22×C8—41no—
617C22×C8—41no—
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
631C22×C8C2411yescharacteristic
632C22×C8C2411yescharacteristic
633C22×C8C2411yescharacteristic
634#123—42no—
635#123—42no—
636#123—42no—
637#123—42no—
638C22⋊Q8—42no—
639C22⋊Q8—42no—
640C22⋊Q8—42no—
641C22⋊Q8—42no—
642#121—24no—
643#121—24no—
644#121—42no—
645#121—42no—
646#121—42no—
647#121—42no—
648#120—24no—
649#120—24no—
650#120—42no—
651#120—42no—
652#120—42no—
653#120—42no—
654#120—42no—
655C4×D4—22no—
656C4×D4—22no—
657C4×D4—22no—
658C4×D4—22no—
659C4×D4—22no—
660C4×D4—22no—
661C4×D4—22no—
662C4×D4—22no—
663C4×D4—22no—
664C4×D4—22no—
665C4×D4—22no—
666C4×D4—22no—
667C4×D4—42no—
668C4×D4—42no—
669C4×D4—42no—
670C4×D4—42no—
671C4×D4—41no—
672C4×D4—41no—
673C4×D4—41no—
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—42no—
692C4×D4—42no—
693C4×D4—42no—
694C4×D4—42no—
695#117—22no—
696#117—22no—
697#117—41no—
698#117—41no—
699C2×C4⋊C4—42no—
700C2×C4⋊C4—42no—
701C2×C4⋊C4C22×C411yescharacteristic
702C2×C4⋊C4C22×C411yescharacteristic
703C2×C4⋊C4C22×C411yescharacteristic
704C2×C4⋊C4C22×C411yescharacteristic
705C2×C4⋊C4C22×C411yescharacteristic
706C2×C4⋊C4C22×C411yescharacteristic
707C2×C4⋊C4C22×C411yescharacteristic
708C2×C4⋊C4C22×C411yescharacteristic
709C2×C4⋊C4C22×C411yescharacteristic
710C2×C4⋊C4C22×C411yescharacteristic
711C2×C4⋊C4C22×C411yescharacteristic
712C2×C4⋊C4C22×C411yescharacteristic
713C2×C4⋊C4C22×C411yescharacteristic
714C2×C4⋊C4C22×C411yescharacteristic
715C2×C4⋊C4C22×C411yescharacteristic
716C2×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×C22⋊C4—42no—
726C2×C22⋊C4—42no—
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—22no—
782C2×C42—22no—
783C2×C42—41no—
784C2×C42—41no—
785C2×C42C22×C411yescharacteristic
786C2×C42C22×C411yescharacteristic
787C2×C42C22×C411yescharacteristic
788C2×C42C22×C411yescharacteristic
789C2×C42C2411yescharacteristic
790C2×C42C2411yescharacteristic
791C2×C42C2411yescharacteristic
792C2×C42C2411yescharacteristic
793C2×C42C2411yescharacteristic
794C2×C42C2411yescharacteristic
795C2×C42C2411yescharacteristic
796C4⋊C8—22no—
797C4⋊C8—22no—
798C4⋊C8—22no—
799C4⋊C8—22no—
800C4⋊C8—22no—
801C4⋊C8—41no—
802C4⋊C8—41no—
803C4⋊C8—41no—
804C4⋊C8—41no—
805C4⋊C8—41no—
806C4⋊C8—41no—
807C4⋊C8—41no—
808C4⋊C8—41no—
809C4⋊C8—41no—
810C22⋊C8—22no—
811C22⋊C8—22no—
812C22⋊C8—22no—
813C22⋊C8—22no—
814C22⋊C8—22no—
815C22⋊C8—22no—
816C22⋊C8—22no—
817C22⋊C8—22no—
818C22⋊C8—22no—
819C22⋊C8—41no—
820C22⋊C8—41no—
821C22⋊C8—41no—
822C22⋊C8—41no—
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—
862#97—22no—
863#97—22no—
864#97—41no—
865#97—41no—
866#97—41no—
867C4×C8—22no—
868C4×C8—22no—
869C4×C8—41no—
870C4×C8—41no—
871C4×C8—41no—
872C4×C8—41no—
873C4×C8—41no—
874C4×C8—41no—
875C4×C8—41no—
876#95C22×C411yescharacteristic
877#95C22×C411yescharacteristic
878#95C22×C411yescharacteristic
879#95C22×C411yescharacteristic
880#95C22×C411yescharacteristic
881#95C22×C411yescharacteristic
882#95C22×C411yescharacteristic
883#95C22×C411yescharacteristic
884#95C22×C411yescharacteristic
885#95C22×C411yescharacteristic
886#95C22×C411yescharacteristic
887#95C22×C411yescharacteristic
888#95C22×C411yescharacteristic
889#95C22×C411yescharacteristic
890#95C22×C411yescharacteristic
891#95C22×C411yescharacteristic
892#95C22×C411yescharacteristic
893#95C22×C411yescharacteristic
894#95C22×C411yescharacteristic
895#95C22×C411yescharacteristic
896#95C22×C411yescharacteristic
897#95C22×C411yescharacteristic
898#95C22×C411yescharacteristic
899#95C22×C411yescharacteristic
900C24—22no—
901C24—22no—
902C24—22no—
903C24—22no—
904C24—22no—
905C24—22no—
906C24—22no—
907C24—22no—
908C24—22no—
909C24—22no—
910C24—41no—
911C24—41no—
912C24—41no—
913C24—41no—
914C24—41no—
915C24—41no—
916C24—41no—
917C24—41no—
918C24—41no—
919C24—41no—
920C24—41no—
921C24C23×C411yescharacteristic
922C24C23×C411yescharacteristic
923C24C23×C411yescharacteristic
924C24C23×C411yescharacteristic
925C24C23×C411yescharacteristic
926C24C23×C411yescharacteristic
927C24C23×C411yescharacteristic
928C24C23×C411yescharacteristic
929#41—82no—
930#41—82no—
931#41—82no—
932#41—82no—
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—41no—
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—416no—
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—416no—
993C2×D4#13114yes—
994C2×D4#13114yes—
995C22×C4—22no—
996C22×C4—22no—
997C22×C4—22no—
998C22×C4—21no—
999C22×C4—21no—
1000C22×C4—21no—
1001C22×C4—21no—
1002C22×C4—22no—
1003C22×C4—22no—
1004C22×C4—22no—
1005C22×C4—22no—
1006C22×C4—22no—
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—22no—
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—41no—
1079C22×C4—41no—
1080C22×C4—82no—
1081C22×C4—82no—
1082C22×C4—82no—
1083C22×C4—82no—
1084C22×C4—82no—
1085C22×C4—82no—
1086C22×C4—82no—
1087C22×C4—82no—
1088C22×C4—82no—
1089C22×C4—82no—
1090C22×C4—82no—
1091C22×C4—82no—
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×C4C23×C411yescharacteristic
1110C22×C4C23×C411yescharacteristic
1111C22×C4C23×C411yescharacteristic
1112C22×C4C23×C411yescharacteristic
1113C22×C4C23×C411yescharacteristic
1114C22×C4H(5,𝔽2)12yes—
1115C22×C4H(5,𝔽2)12yes—
1116C22×C4C2511yescharacteristic
1117M16—82no—
1118M16—82no—
1119M16—82no—
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—21no—
1166C2×C8—21no—
1167C2×C8—44no—
1168C2×C8—44no—
1169C2×C8—82no—
1170C2×C8—82no—
1171C2×C8—82no—
1172C2×C8—82no—
1173C2×C8—82no—
1174C2×C8—82no—
1175C2×C8—82no—
1176C2×C8H(5,𝔽2)12yes—
1177C4⋊C4—22no—
1178C4⋊C4—22no—
1179C4⋊C4—22no—
1180C4⋊C4—22no—
1181C4⋊C4—22no—
1182C4⋊C4—22no—
1183C4⋊C4—22no—
1184C4⋊C4—22no—
1185C4⋊C4—22no—
1186C4⋊C4—22no—
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—
1196C4⋊C4—41no—
1197C4⋊C4—41no—
1198C4⋊C4—41no—
1199C4⋊C4—41no—
1200C4⋊C4—41no—
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—22no—
1222C22⋊C4—22no—
1223C22⋊C4—22no—
1224C22⋊C4—22no—
1225C22⋊C4—22no—
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—
1248C22⋊C4—41no—
1249C22⋊C4—41no—
1250C22⋊C4—41no—
1251C22⋊C4—41no—
1252C22⋊C4—41no—
1253C42—22no—
1254C42—22no—
1255C42—21no—
1256C42—21no—
1257C42—21no—
1258C42—21no—
1259C42—21no—
1260C42—21no—
1261C42—21no—
1262C42—21no—
1263C42—21no—
1264C42—21no—
1265C42—21no—
1266C42—21no—
1267C42—41no—
1268C42—41no—
1269C42H(5,𝔽2)12yes—
1270C42H(5,𝔽2)12yes—
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—44no—
1322C23—44no—
1323C23—44no—
1324C23—44no—
1325C23—44no—
1326C23—44no—
1327C23—44no—
1328C23—44no—
1329C23—44no—
1330C23—44no—
1331C23—82no—
1332C23—82no—
1333C23—82no—
1334C23—82no—
1335C23—82no—
1336C23—82no—
1337C23—82no—
1338C23—82no—
1339C23—82no—
1340C23—82no—
1341C23—82no—
1342C23#51812yes—
1343C23C2×#13112yes—
1344C23C2×#13112yes—
1345C23C2×#13112yes—
1346C23C2×#13112yes—
1347C23#56812yes—
1348C23C24×C411yescharacteristic
1349Q8—82no—
1350D4—28no—
1351D4—44no—
1352D4—44no—
1353D4—44no—
1354D4—44no—
1355D4—44no—
1356D4—44no—
1357D4—44no—
1358D4—44no—
1359D4—44no—
1360D4—44no—
1361D4—82no—
1362D4—82no—
1363D4—82no—
1364D4—82no—
1365D4—82no—
1366D4—82no—
1367D4—82no—
1368D4—82no—
1369C2×C4—28no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—22no—
1381C2×C4—22no—
1382C2×C4—22no—
1383C2×C4—22no—
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—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—44no—
1436C2×C4—44no—
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—41no—
1459C2×C4—41no—
1460C2×C4—41no—
1461C2×C4—41no—
1462C2×C4—41no—
1463C2×C4—41no—
1464C2×C4—41no—
1465C2×C4—82no—
1466C2×C4—82no—
1467C2×C4—82no—
1468C2×C4—82no—
1469C2×C4—82no—
1470C2×C4—82no—
1471C2×C4—82no—
1472C2×C4—82no—
1473C2×C4—82no—
1474C2×C4—82no—
1475C2×C4#51812yes—
1476C2×C4#51812yes—
1477C2×C4#51812yes—
1478C2×C4C2×#13112yes—
1479C2×C4C2×#13112yes—
1480C2×C4C2×H(5,𝔽2)11yescharacteristic
1481C2×C4C2×H(5,𝔽2)11yescharacteristic
1482C2×C4C2×H(5,𝔽2)11yescharacteristic
1483C2×C4C2×H(5,𝔽2)11yescharacteristic
1484C2×C4C2×H(5,𝔽2)11yescharacteristic
1485C2×C4#58511yescharacteristic
1486C8—22no—
1487C8—41no—
1488C8—41no—
1489C8—41no—
1490C8—41no—
1491C8—41no—
1492C8—41no—
1493C8—41no—
1494C8—41no—
1495C8—41no—
1496C8—41no—
1497C8—41no—
1498C8—41no—
1499C8—41no—
1500C8—41no—
1501C8—41no—
1502C22—22no—
1503C22—22no—
1504C22—22no—
1505C22—22no—
1506C22—22no—
1507C22—22no—
1508C22—22no—
1509C22—22no—
1510C22—22no—
1511C22—22no—
1512C22—22no—
1513C22—22no—
1514C22—22no—
1515C22—22no—
1516C22—22no—
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—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—88no—
1558C22—88no—
1559C22—88no—
1560C22#297614yes—
1561C22C2×#51811yescharacteristic
1562C22C2×#51811yescharacteristic
1563C22C4×H(5,𝔽2)11yescharacteristic
1564C22C22×#13111yescharacteristic
1565C22C22×#13111yescharacteristic
1566C22C2×#56811yescharacteristic
1567C22#357311yescharacteristic
1568C4—22no—
1569C4—22no—
1570C4—22no—
1571C4—22no—
1572C4—22no—
1573C4—41no—
1574C4—41no—
1575C4—41no—
1576C4—41no—
1577C4—41no—
1578C4—41no—
1579C4—41no—
1580C4—41no—
1581C4—41no—
1582C4—41no—
1583C4—41no—
1584C4—41no—
1585C4—41no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4#353711yescharacteristic
1591C4#354211yescharacteristic
1592C4#354311yescharacteristic
1593C4#355811yescharacteristic
1594C2—24no—
1595C2—42no—
1596C2—42no—
1597C2—42no—
1598C2—81no—
1599C2—81no—
1600C2—81no—
1601C2—81no—
1602C2#3447111yescharacteristic
1603C2C2×#297611yescharacteristic
1604C2#6023311yescharacteristic
1605C2#6023911yescharacteristic
1606C2#6023911yescharacteristic
1607C2#6030511yescharacteristic
1608C2#6032211yescharacteristic
subgroupG/H
center, Frattini, cosocleC22×C4C25
commutator, socleC23C24×C4
prime radical#34655C2
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. #23331C2semidirect
3. #23328C2semidirect
4. #23312C2semidirect
5. #23307C2semidirect
6. #23177C2semidirect
7. #23090C2semidirect
8. #22987C2semidirect
9. #22846C2semidirect
10. #22842C2semidirect
11. #22840C2semidirect
12. #22754C2semidirect
13. #22399C2semidirect
14. #22398C2semidirect
15. #22398C2semidirect
16. D4×C22⋊C8C2semidirect
17. #22334C2semidirect
18. #22329C2semidirect
19. #22267C2semidirect
20. #22142C2semidirect
21. #22033C2semidirect
22. #22032C2semidirect
23. #22030C2semidirect
24. #22028C2semidirect
25. #22016C2semidirect
26. #21792C2semidirect
27. #21740C2semidirect
28. #21739C2semidirect
29. C8×#121C2semidirect
30. C2×#1954C2semidirect
31. #21103C2semidirect
36. C2×#435C22semidirect
37. C2×#435C22semidirect
38. C2×#435C22semidirect
39. C2×#435C22semidirect
40. C2×#435C22semidirect
43. C2×C8×D4C22semidirect
44. C2×C8×D4C22semidirect
45. C2×C8×D4C22semidirect
46. C2×#433C22semidirect
47. C2×#433C22semidirect
48. C22×C4⋊C8C22semidirect
49. C2×#408C22semidirect
53. C22×C22⋊C8C22semidirect
54. C22×C22⋊C8C22semidirect
55. C22×C22⋊C8C22semidirect
56. C22×C22⋊C8C22semidirect
57. C22×C4×C8C22semidirect
87. #1955C22semidirect
88. #1955C22semidirect
89. #1955C22semidirect
90. #1955C22semidirect
91. #1955C22semidirect
96. #1954C22semidirect
97. #1954C22semidirect
98. #1954C22semidirect
99. #1954C22semidirect
100. #1954C22semidirect
101. #1954C22semidirect
102. #1954C22semidirect
103. #1954C22semidirect
104. #1954C22semidirect
105. #1954C22semidirect
106. #1954C22semidirect
107. #1940C22semidirect
108. #1939C22semidirect
109. #1924C22semidirect
110. #1924C22semidirect
111. #1924C22semidirect
112. #1924C22semidirect
113. #1924C22semidirect
114. #1924C22semidirect
115. #1924C22semidirect
116. #1923C22semidirect
117. #1923C22semidirect
118. #1923C22semidirect
119. #1923C22semidirect
120. #1923C22semidirect
121. #1923C22semidirect
122. #1923C22semidirect
123. #1923C22semidirect
124. #1923C22semidirect
125. #1923C22semidirect
126. #1923C22semidirect
127. #1923C22semidirect
128. #1923C22semidirect
129. #1917C22semidirect
130. #1916C22semidirect
131. #1916C22semidirect
132. #1916C22semidirect
133. #1870C22semidirect
134. #1870C22semidirect
135. #1870C22semidirect
136. #1870C22semidirect
137. #1870C22semidirect
138. #1870C22semidirect
139. #1870C22semidirect
140. #1870C22semidirect
141. #1870C22semidirect
142. #1870C22semidirect
151. #1869C22semidirect
152. #1869C22semidirect
153. #1869C22semidirect
154. #1869C22semidirect
155. #1869C22semidirect
156. #1869C22semidirect
157. #1869C22semidirect
158. #1869C22semidirect
159. #1869C22semidirect
160. #1869C22semidirect
161. #1869C22semidirect
162. #1869C22semidirect
163. #1869C22semidirect
164. #1869C22semidirect
165. #1851C22semidirect
166. #1851C22semidirect
167. #1850C22semidirect
168. #1850C22semidirect
169. #1850C22semidirect
170. #1850C22semidirect
171. #1832C22semidirect
172. #1818C22semidirect
173. #1818C22semidirect
174. #1817C22semidirect
175. #1817C22semidirect
176. #1798C22semidirect
177. #1798C22semidirect
178. #1797C22semidirect
179. #1797C22semidirect
180. #1780C22semidirect
181. #1780C22semidirect
182. #1780C22semidirect
184. #1779C22semidirect
185. #1779C22semidirect
186. #1779C22semidirect
187. #1779C22semidirect
188. #1771C22semidirect
189. C8×C4⋊C4C22semidirect
190. #1768C22semidirect
191. #1768C22semidirect
192. #1753C22semidirect
193. #1752C22semidirect
194. C8×C22⋊C4C22semidirect
195. C8×C22⋊C4C22semidirect
196. C8×C22⋊C4C22semidirect
197. C8×C22⋊C4C22semidirect
198. #1750C22semidirect
199. #1750C22semidirect
200. #1749C22semidirect
201. C4×C22⋊C8C22semidirect
202. #1746C22semidirect

Maximal subgroups

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

subgroupindex
#346552
#233312
#233282
#233122
#233072
#231772
#230902
#229872
#228462
#228422
#228402
#227542
#223992
#223982
D4×C22⋊C82
#223342
#223292
#222672
#221422
#220332
#220322
#220302
#220282
#220162
#217922
#217402
#217392
C8×#1212
C2×#19542
#211032