Finite Group Databasebeta

← #6386537

Subgroups — #6386537

Order 512.

2403 conjugacy classes of subgroups.

The subgroup lattice has 1608 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22⋊C4×#41C211yesmaximal, characteristic
2#22561C211yesmaximal, characteristic, complemented
3#22561C211yesmaximal, characteristic, complemented
4#22561C211yesmaximal, characteristic, complemented
5#22560C211yesmaximal, characteristic, complemented
6#22559C211yesmaximal, characteristic, complemented
7#22559C211yesmaximal, characteristic, complemented
8#22558C211yesmaximal, characteristic, complemented
9#22558C211yesmaximal, characteristic, complemented
10#22557C211yesmaximal, characteristic, complemented
11#22557C211yesmaximal, characteristic, complemented
12#22557C211yesmaximal, characteristic, complemented
13#22556C211yesmaximal, characteristic, complemented
14#22555C211yesmaximal, characteristic, complemented
15#22554C211yesmaximal, characteristic, complemented
16#22554C211yesmaximal, characteristic, complemented
17#22553C211yesmaximal, characteristic, complemented
18#21937C211yesmaximal, characteristic, complemented
19#21936C211yesmaximal, characteristic, complemented
20#21910C211yesmaximal, characteristic, complemented
21#21908C211yesmaximal, characteristic, complemented
22#21906C211yesmaximal, characteristic, complemented
23#21904C211yesmaximal, characteristic, complemented
24#20721C211yesmaximal, characteristic, complemented
25#20720C211yesmaximal, characteristic, complemented
26#20720C211yesmaximal, characteristic, complemented
27#20719C211yesmaximal, characteristic, complemented
28#20581C211yesmaximal, characteristic
29#20581C211yesmaximal, characteristic
30#20532C211yesmaximal, characteristic, complemented
31#20531C211yesmaximal, characteristic, complemented
32C23×#41C2211yescharacteristic
33C2×C4×#41C2211yescharacteristic
34C2×C4×#41C2211yescharacteristic
35C2×#433C2211yescharacteristic, complemented
36C2×#433C2211yescharacteristic, complemented
37C2×#433C2211yescharacteristic, complemented
38C2×#433C2211yescharacteristic, complemented
39C2×#432C2211yescharacteristic, complemented
40C2×#432C2211yescharacteristic, complemented
41C2×#432C2211yescharacteristic, complemented
42C2×#431C2211yescharacteristic, complemented
43C2×#408C2211yescharacteristic
44C2×#408C2211yescharacteristic
45C2×#408C2211yescharacteristic
46C2×#408C2211yescharacteristic
47C2×#408C2211yescharacteristic
48C2×#408C2211yescharacteristic
49C2×#408C2211yescharacteristic
50C2×#408C2211yescharacteristic
51C2×#407C2211yescharacteristic
52C2×#407C2211yescharacteristic
53C22×C22⋊C8C2211yescharacteristic
54C22×C22⋊C8C2211yescharacteristic
55#2341C411yescharacteristic
56#2341C411yescharacteristic
57Q8×C22⋊C4C411yescharacteristic
58Q8×C22⋊C4C411yescharacteristic
59#2339C411yescharacteristic
60#2339C411yescharacteristic
61#2339C411yescharacteristic
62#2339C411yescharacteristic
63#2339C411yescharacteristic
64#2339C411yescharacteristic
65D4×C22⋊C4C411yescharacteristic
66D4×C22⋊C4C411yescharacteristic
67D4×C22⋊C4C411yescharacteristic
68D4×C22⋊C4C411yescharacteristic
69D4×C22⋊C4C411yescharacteristic
70D4×C22⋊C4C411yescharacteristic
71#2297C2211yescharacteristic
72#2297C2211yescharacteristic
73#2297C2211yescharacteristic
74#2297C2211yescharacteristic
75#2297C2211yescharacteristic
76#2297C2211yescharacteristic
77#2280C2211yescharacteristic
78#2280C2211yescharacteristic
79#2280C2211yescharacteristic
80C2×C4×C22⋊C4C2211yescharacteristic
81C2×C4×C22⋊C4C2211yescharacteristic
82C2×C4×C22⋊C4C2211yescharacteristic
83#1924C2211yescharacteristic
84#1924C2211yescharacteristic
85#1924C2211yescharacteristic
86#1924C2211yescharacteristic
87#1924C2211yescharacteristic
88#1924C2211yescharacteristic
89#1924C2211yescharacteristic
90#1924C2211yescharacteristic
91#1924C2211yescharacteristic
92#1924C2211yescharacteristic
93#1924C2211yescharacteristic, complemented
94#1924C2211yescharacteristic, complemented
95#1924C2211yescharacteristic, complemented
96#1924C2211yescharacteristic, complemented
97#1924C2211yescharacteristic, complemented
98#1924C2211yescharacteristic, complemented
99#1924C2211yescharacteristic, complemented
100#1924C2211yescharacteristic, complemented
101#1924C2211yescharacteristic, complemented
102#1924C2211yescharacteristic, complemented
103#1923C2211yescharacteristic
104#1923C2211yescharacteristic
105#1923C2211yescharacteristic
106#1923C2211yescharacteristic
107#1923C2211yescharacteristic
108#1923C2211yescharacteristic
109#1923C2211yescharacteristic, complemented
110#1923C2211yescharacteristic, complemented
111#1923C2211yescharacteristic, complemented
112#1923C2211yescharacteristic, complemented
113#1923C2211yescharacteristic, complemented
114#1923C2211yescharacteristic, complemented
115#1851C2211yescharacteristic, complemented
116#1851C2211yescharacteristic, complemented
117#1851C2211yescharacteristic, complemented
118#1851C2211yescharacteristic, complemented
119#1851C2211yescharacteristic, complemented
120#1851C2211yescharacteristic, complemented
121#1851C2211yescharacteristic, complemented
122#1851C2211yescharacteristic, complemented
123#1850C2211yescharacteristic, complemented
124#1850C2211yescharacteristic, complemented
125#1850C2211yescharacteristic, complemented
126#1850C2211yescharacteristic, complemented
127#1850C2211yescharacteristic, complemented
128#1850C2211yescharacteristic, complemented
129#1850C2211yescharacteristic, complemented
130#1850C2211yescharacteristic, complemented
131#1818C2211yescharacteristic, complemented
132#1818C2211yescharacteristic, complemented
133#1818C2211yescharacteristic, complemented
134#1818C2211yescharacteristic, complemented
135#1817C2211yescharacteristic, complemented
136#1817C2211yescharacteristic, complemented
137#1817C2211yescharacteristic, complemented
138#1817C2211yescharacteristic, complemented
139#1798C2211yescharacteristic, complemented
140#1798C2211yescharacteristic, complemented
141#1798C2211yescharacteristic, complemented
142#1798C2211yescharacteristic, complemented
143#1798C2211yescharacteristic, complemented
144#1798C2211yescharacteristic, complemented
145#1798C2211yescharacteristic, complemented
146#1798C2211yescharacteristic, complemented
147#1797C2211yescharacteristic, complemented
148#1797C2211yescharacteristic, complemented
149#1797C2211yescharacteristic, complemented
150#1797C2211yescharacteristic, complemented
151#1797C2211yescharacteristic, complemented
152#1797C2211yescharacteristic, complemented
153#1797C2211yescharacteristic, complemented
154#1797C2211yescharacteristic, complemented
155#1780C2211yescharacteristic
156#1780C2211yescharacteristic
157#1780C2211yescharacteristic
158#1780C2211yescharacteristic
159#1780C2211yescharacteristic
160#1780C2211yescharacteristic
161#1780C2211yescharacteristic
162#1780C2211yescharacteristic
163#1779C2211yescharacteristic
164#1779C2211yescharacteristic
165#1779C2211yescharacteristic
166#1779C2211yescharacteristic
167#1779C2211yescharacteristic
168#1779C2211yescharacteristic
169#1779C2211yescharacteristic
170#1779C2211yescharacteristic
171#1753C2211yescharacteristic, complemented
172#1753C2211yescharacteristic, complemented
173#1753C2211yescharacteristic, complemented
174#1753C2211yescharacteristic, complemented
175#1753C2211yescharacteristic, complemented
176#1753C2211yescharacteristic, complemented
177#1753C2211yescharacteristic, complemented
178#1753C2211yescharacteristic, complemented
179#1752C2211yescharacteristic, complemented
180#1752C2211yescharacteristic, complemented
181#1752C2211yescharacteristic, complemented
182#1752C2211yescharacteristic, complemented
183#1752C2211yescharacteristic, complemented
184#1752C2211yescharacteristic, complemented
185C8×C22⋊C4C2211yescharacteristic, complemented
186C8×C22⋊C4C2211yescharacteristic, complemented
187#1750C2211yescharacteristic, complemented
188#1750C2211yescharacteristic, complemented
189#1750C2211yescharacteristic, complemented
190#1750C2211yescharacteristic, complemented
191#1750C2211yescharacteristic, complemented
192#1750C2211yescharacteristic, complemented
193#1750C2211yescharacteristic, complemented
194#1750C2211yescharacteristic, complemented
195#1749C2211yescharacteristic, complemented
196#1749C2211yescharacteristic, complemented
197#1749C2211yescharacteristic, complemented
198#1749C2211yescharacteristic, complemented
199#1749C2211yescharacteristic, complemented
200#1749C2211yescharacteristic, complemented
201C4×C22⋊C8C2211yescharacteristic, complemented
202C4×C22⋊C8C2211yescharacteristic, complemented
203C22×#41—24no—
204C22×#41—24no—
205C22×#41—42no—
206C22×#41—42no—
207C22×#41—42no—
208C22×#41—42no—
209C22×#41C2×C411yescharacteristic
210C22×#41C2×C411yescharacteristic
211C22×#41C2×C411yescharacteristic
212C22×#41C2×C411yescharacteristic
213C22×#41C2311yescharacteristic
214C22×#41C2311yescharacteristic
215C22×#41C2311yescharacteristic
216C22×#41C2311yescharacteristic
217C23×Q8C2×C411yescharacteristic
218C23×D4C2×C411yescharacteristic
219C23×D4C2×C411yescharacteristic
220C23×D4C2×C411yescharacteristic
221C24×C4C2311yescharacteristic
222C24×C4C2311yescharacteristic
223C24×C4C2311yescharacteristic
224C22×M16C2311yescharacteristic
225C22×M16C2311yescharacteristic
226C22×M16C2311yescharacteristic
227C22×M16C2311yescharacteristic
228C23×C8C2311yescharacteristic
229C23×C8C2311yescharacteristic
230C23×C8C2311yescharacteristic
231C23×C8C2311yescharacteristic
232C4×#41—42no—
233C4×#41—42no—
234C4×#41—42no—
235C4×#41—42no—
236C2×C4×Q8C2×C411yescharacteristic
237C2×C4×Q8C2×C411yescharacteristic
238C2×C4×Q8C2×C411yescharacteristic
239C2×C4×Q8C2×C411yescharacteristic
240C2×C4×D4C2×C411yescharacteristic
241C2×C4×D4C2×C411yescharacteristic
242C2×C4×D4C2×C411yescharacteristic
243C2×C4×D4C2×C411yescharacteristic
244C2×C4×D4C2×C411yescharacteristic
245C2×C4×D4C2×C411yescharacteristic
246C2×C4×D4C2×C411yescharacteristic
247C2×C4×D4C2×C411yescharacteristic
248C2×C4×D4C2×C411yescharacteristic
249C2×C4×D4C2×C411yescharacteristic
250C2×C4×D4C2×C411yescharacteristic
251C2×C4×D4C2×C411yescharacteristic
252C2×#117C2311yescharacteristic
253C2×#117C2311yescharacteristic
254C2×#117C2311yescharacteristic
255C2×#117C2311yescharacteristic
256C2×#117C2311yescharacteristic
257C2×#117C2311yescharacteristic
258C22×C22⋊C4C2×C411yescharacteristic
259C22×C22⋊C4C2×C411yescharacteristic
260C22×C22⋊C4C2×C411yescharacteristic
261C22×C22⋊C4C2×C411yescharacteristic
262C22×C22⋊C4C2×C411yescharacteristic
263C22×C22⋊C4C2×C411yescharacteristic
264C22×C42C2311yescharacteristic
265C22×C42C2311yescharacteristic
266C22×C42C2311yescharacteristic
267C22×C42C2311yescharacteristic
268C22×C42C2311yescharacteristic
269C22×C42C2311yescharacteristic
270#433—42no—
271#433—42no—
272#433—42no—
273#433—42no—
274#432—42no—
275#432—42no—
276#432—42no—
277#431—42no—
278C2×C4⋊C8C2311yescharacteristic
279C2×C4⋊C8C2311yescharacteristic
280C2×C4⋊C8C2311yescharacteristic
281C2×C4⋊C8C2311yescharacteristic
282C2×C4⋊C8C2311yescharacteristic
283C2×C4⋊C8C2311yescharacteristic
284C2×C4⋊C8C2311yescharacteristic
285C2×C4⋊C8C2311yescharacteristic
286C2×C4⋊C8C2311yescharacteristic
287C2×C4⋊C8C2311yescharacteristic
288C2×C4⋊C8C2311yescharacteristic
289C2×C4⋊C8C2311yescharacteristic
290C2×C4⋊C8C2311yescharacteristic
291C2×C4⋊C8C2311yescharacteristic
292C2×C4⋊C8C2311yescharacteristic
293C2×C4⋊C8C2311yescharacteristic
294#408—24no—
295#408—24no—
296#408—24no—
297#408—24no—
298#408—42no—
299#408—42no—
300#408—42no—
301#408—42no—
302#407—42no—
303#407—42no—
304C2×C22⋊C8—42no—
305C2×C22⋊C8—42no—
306C2×C22⋊C8C2311yescharacteristic
307C2×C22⋊C8C2311yescharacteristic
308C2×C22⋊C8C2311yescharacteristic
309C2×C22⋊C8C2311yescharacteristic
310C2×C22⋊C8C2311yescharacteristic
311C2×C22⋊C8C2311yescharacteristic
312C2×C22⋊C8C2311yescharacteristic
313C2×C22⋊C8C2311yescharacteristic
314C2×C22⋊C8C2311yescharacteristic
315C2×C22⋊C8C2311yescharacteristic
316C2×C22⋊C8C2311yescharacteristic
317C2×C22⋊C8C2311yescharacteristic
318C2×C22⋊C8C2311yescharacteristic
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×#97C2311yescharacteristic
355C2×#97C2311yescharacteristic
356C2×#97C2311yescharacteristic
357C2×#97C2311yescharacteristic
358C2×#97C2311yescharacteristic
359C2×#97C2311yescharacteristic
360C2×#97C2311yescharacteristic
361C2×#97C2311yescharacteristic
362C2×#97C2311yescharacteristic
363C2×#97C2311yescharacteristic
364C2×C4×C8C2311yescharacteristic
365C2×C4×C8C2311yescharacteristic
366C2×C4×C8C2311yescharacteristic
367C2×C4×C8C2311yescharacteristic
368C2×C4×C8C2311yescharacteristic
369C2×C4×C8C2311yescharacteristic
370#391C2×C411yescharacteristic
371#391C2×C411yescharacteristic
372#391C2×C411yescharacteristic
373#391C2×C411yescharacteristic
374#391C2×C411yescharacteristic
375#391C2×C411yescharacteristic
376#391C2×C411yescharacteristic
377#391C2×C411yescharacteristic
378#391C2×C411yescharacteristic
379#391C2×C411yescharacteristic
380#391C2×C411yescharacteristic
381#391C2×C411yescharacteristic
382#390C2×C411yescharacteristic
383#390C2×C411yescharacteristic
384#390C2×C411yescharacteristic
385#390C2×C411yescharacteristic
386#390C2×C411yescharacteristic
387#390C2×C411yescharacteristic
388#390C2×C411yescharacteristic
389#390C2×C411yescharacteristic
390#390C2×C411yescharacteristic
391#390C2×C411yescharacteristic
392#390C2×C411yescharacteristic
393#390C2×C411yescharacteristic
394#386C2×C411yescharacteristic
395#386C2×C411yescharacteristic
396#386C2×C411yescharacteristic
397#386C2×C411yescharacteristic
398#386C2×C411yescharacteristic
399#386C2×C411yescharacteristic
400#386C2×C411yescharacteristic
401#386C2×C411yescharacteristic
402#386C2×C411yescharacteristic
403#386C2×C411yescharacteristic
404#386C2×C411yescharacteristic
405#386C2×C411yescharacteristic
406#386C2×C411yescharacteristic
407#386C2×C411yescharacteristic
408#386C2×C411yescharacteristic
409#386C2×C411yescharacteristic
410#386C2×C411yescharacteristic
411#386C2×C411yescharacteristic
412#386C2×C411yescharacteristic
413#386C2×C411yescharacteristic
414#386C2×C411yescharacteristic
415#386C2×C411yescharacteristic
416#386C2×C411yescharacteristic
417#386C2×C411yescharacteristic
418#381C2×C411yescharacteristic
419#381C2×C411yescharacteristic
420#381C2×C411yescharacteristic
421#381C2×C411yescharacteristic
422#381C2×C411yescharacteristic
423#381C2×C411yescharacteristic
424#380C2×C411yescharacteristic
425#380C2×C411yescharacteristic
426#380C2×C411yescharacteristic
427#380C2×C411yescharacteristic
428#380C2×C411yescharacteristic
429#380C2×C411yescharacteristic
430#380C2×C411yescharacteristic
431#380C2×C411yescharacteristic
432#380C2×C411yescharacteristic
433#380C2×C411yescharacteristic
434#380C2×C411yescharacteristic
435#380C2×C411yescharacteristic
436#379C2×C411yescharacteristic
437#379C2×C411yescharacteristic
438#379C2×C411yescharacteristic
439#379C2×C411yescharacteristic
440#379C2×C411yescharacteristic
441#379C2×C411yescharacteristic
442C4×C22⋊C4C2×C411yescharacteristic
443C4×C22⋊C4C2×C411yescharacteristic
444C4×C22⋊C4C2×C411yescharacteristic
445C4×C22⋊C4C2×C411yescharacteristic
446C4×C22⋊C4C2×C411yescharacteristic
447C4×C22⋊C4C2×C411yescharacteristic
448C4×C22⋊C4C2×C411yescharacteristic
449C4×C22⋊C4C2×C411yescharacteristic
450C4×C22⋊C4C2×C411yescharacteristic
451C4×C22⋊C4C2×C411yescharacteristic
452C4×C22⋊C4C2×C411yescharacteristic
453C4×C22⋊C4C2×C411yescharacteristic
454C4×C22⋊C4C2311yescharacteristic
455C4×C22⋊C4C2311yescharacteristic
456C4×C22⋊C4C2311yescharacteristic
457C4×C22⋊C4C2311yescharacteristic
458C4×C22⋊C4C2311yescharacteristic
459C4×C22⋊C4C2311yescharacteristic
460C4×C22⋊C4C2311yescharacteristic
461C4×C22⋊C4C2311yescharacteristic
462C4×C22⋊C4C2311yescharacteristic
463C4×C22⋊C4C2311yescharacteristic
464C4×C22⋊C4C2311yescharacteristic
465C4×C22⋊C4C2311yescharacteristic
466C4×C22⋊C4C2311yescharacteristic
467C4×C22⋊C4C2311yescharacteristic
468C4×C22⋊C4C2311yescharacteristic
469C4×C22⋊C4C2311yescharacteristic
470C2×#95C2×C411yescharacteristic
471C2×#95C2×C411yescharacteristic
472C2×#95C2×C411yescharacteristic
473C2×#95C2×C411yescharacteristic
474C2×#95C2×C411yescharacteristic
475C2×#95C2×C411yescharacteristic
476#336C2311yescharacteristic
477#336C2311yescharacteristic
478#336C2311yescharacteristic
479#336C2311yescharacteristic
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—24no—
512C2×#41—24no—
513C2×#41—24no—
514C2×#41—24no—
515C2×#41—22no—
516C2×#41—22no—
517C2×#41—22no—
518C2×#41—22no—
519C2×#41—22no—
520C2×#41—22no—
521C2×#41—22no—
522C2×#41—22no—
523C2×#41—22no—
524C2×#41—22no—
525C2×#41—22no—
526C2×#41—22no—
527C2×#41—22no—
528C2×#41—22no—
529C2×#41—41no—
530C2×#41—41no—
531C2×#41—41no—
532C2×#41—41no—
533C2×#41—41no—
534C2×#41—41no—
535C2×#41—41no—
536C2×#41—41no—
537C2×#41—42no—
538C2×#41—42no—
539C2×#41—42no—
540C2×#41—42no—
541C2×#41—42no—
542C2×#41—42no—
543C2×#41—42no—
544C2×#41—42no—
545C2×#41—416no—
546C2×#41—416no—
547C2×#41—416no—
548C2×#41—416no—
549C2×#41#4114yes—
550C2×#41#4114yes—
551C22×Q8—24no—
552C22×Q8—42no—
553C22×Q8—42no—
554C22×Q8C22×C411yescharacteristic
555C22×Q8C22×C411yescharacteristic
556C22×Q8C22×C411yescharacteristic
557C22×Q8C22×C411yescharacteristic
558C22×D4—24no—
559C22×D4—24no—
560C22×D4—24no—
561C22×D4—42no—
562C22×D4—42no—
563C22×D4—42no—
564C22×D4—42no—
565C22×D4—42no—
566C22×D4—42no—
567C22×D4C22×C411yescharacteristic
568C22×D4C22×C411yescharacteristic
569C22×D4C22×C411yescharacteristic
570C22×D4C22×C411yescharacteristic
571C22×D4C22×C411yescharacteristic
572C22×D4C22×C411yescharacteristic
573C22×D4C22×C411yescharacteristic
574C22×D4C22×C411yescharacteristic
575C22×D4C22×C411yescharacteristic
576C22×D4C22×C411yescharacteristic
577C22×D4C22×C411yescharacteristic
578C22×D4C22×C411yescharacteristic
579C23×C4—22no—
580C23×C4—22no—
581C23×C4—22no—
582C23×C4—22no—
583C23×C4—22no—
584C23×C4—22no—
585C23×C4—22no—
586C23×C4—22no—
587C23×C4—22no—
588C23×C4—22no—
589C23×C4—41no—
590C23×C4—41no—
591C23×C4—41no—
592C23×C4—41no—
593C23×C4—41no—
594C23×C4—41no—
595C23×C4—41no—
596C23×C4—41no—
597C23×C4C22×C411yescharacteristic
598C23×C4C22×C411yescharacteristic
599C23×C4C22×C411yescharacteristic
600C23×C4C22×C411yescharacteristic
601C23×C4C22×C411yescharacteristic
602C23×C4C22×C411yescharacteristic
603C23×C4C22×C411yescharacteristic
604C23×C4C22×C411yescharacteristic
605C23×C4C22×C411yescharacteristic
606C23×C4C22×C411yescharacteristic
607C23×C4C22×C411yescharacteristic
608C23×C4C22×C411yescharacteristic
609C23×C4C22×C411yescharacteristic
610C23×C4C22×C411yescharacteristic
611C23×C4C22×C411yescharacteristic
612C23×C4C22×C411yescharacteristic
613C23×C4C22×C411yescharacteristic
614C23×C4C22×C411yescharacteristic
615C23×C4C22×C411yescharacteristic
616C23×C4C22×C411yescharacteristic
617C23×C4C22×C411yescharacteristic
618C23×C4C2411yescharacteristic
619C23×C4C2411yescharacteristic
620C23×C4C2411yescharacteristic
621C23×C4C2411yescharacteristic
622C23×C4C2411yescharacteristic
623C23×C4C2411yescharacteristic
624C23×C4C2411yescharacteristic
625C2×M16—22no—
626C2×M16—22no—
627C2×M16—22no—
628C2×M16—22no—
629C2×M16—41no—
630C2×M16—41no—
631C2×M16—41no—
632C2×M16—41no—
633C2×M16—41no—
634C2×M16—41no—
635C2×M16—41no—
636C2×M16—41no—
637C22×C8—22no—
638C22×C8—22no—
639C22×C8—22no—
640C22×C8—22no—
641C22×C8—41no—
642C22×C8—41no—
643C22×C8—41no—
644C22×C8—41no—
645C22×C8—41no—
646C22×C8—41no—
647C22×C8—41no—
648C22×C8—41no—
649C22×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—
666C4×Q8—42no—
667C4×Q8—42no—
668C4×Q8—42no—
669C4×D4—42no—
670C4×D4—42no—
671C4×D4—42no—
672C4×D4—42no—
673C4×D4—42no—
674C4×D4—42no—
675C4×D4—42no—
676C4×D4—42no—
677C4×D4—42no—
678C4×D4—42no—
679C4×D4—42no—
680C4×D4—42no—
681#117—22no—
682#117—22no—
683#117—22no—
684#117—22no—
685#117—41no—
686#117—41no—
687#117—41no—
688#117—41no—
689#117—41no—
690#117—41no—
691#117—41no—
692#117—41no—
693C2×C4⋊C4C22×C411yescharacteristic
694C2×C4⋊C4C22×C411yescharacteristic
695C2×C4⋊C4C22×C411yescharacteristic
696C2×C4⋊C4C22×C411yescharacteristic
697C2×C4⋊C4C22×C411yescharacteristic
698C2×C4⋊C4C22×C411yescharacteristic
699C2×C4⋊C4C22×C411yescharacteristic
700C2×C4⋊C4C22×C411yescharacteristic
701C2×C4⋊C4C22×C411yescharacteristic
702C2×C4⋊C4C22×C411yescharacteristic
703C2×C4⋊C4C22×C411yescharacteristic
704C2×C4⋊C4C22×C411yescharacteristic
705C2×C22⋊C4—42no—
706C2×C22⋊C4—42no—
707C2×C22⋊C4—42no—
708C2×C22⋊C4—42no—
709C2×C22⋊C4—42no—
710C2×C22⋊C4—42no—
711C2×C22⋊C4C22×C411yescharacteristic
712C2×C22⋊C4C22×C411yescharacteristic
713C2×C22⋊C4C22×C411yescharacteristic
714C2×C22⋊C4C22×C411yescharacteristic
715C2×C22⋊C4C22×C411yescharacteristic
716C2×C22⋊C4C22×C411yescharacteristic
717C2×C22⋊C4C22×C411yescharacteristic
718C2×C22⋊C4C22×C411yescharacteristic
719C2×C22⋊C4C22×C411yescharacteristic
720C2×C22⋊C4C22×C411yescharacteristic
721C2×C22⋊C4C22×C411yescharacteristic
722C2×C22⋊C4C22×C411yescharacteristic
723C2×C22⋊C4C22×C411yescharacteristic
724C2×C22⋊C4C22×C411yescharacteristic
725C2×C22⋊C4C22×C411yescharacteristic
726C2×C22⋊C4C22×C411yescharacteristic
727C2×C22⋊C4C22×C411yescharacteristic
728C2×C22⋊C4C22×C411yescharacteristic
729C2×C22⋊C4C22×C411yescharacteristic
730C2×C22⋊C4C22×C411yescharacteristic
731C2×C22⋊C4C22×C411yescharacteristic
732C2×C22⋊C4C22×C411yescharacteristic
733C2×C22⋊C4C22×C411yescharacteristic
734C2×C22⋊C4C22×C411yescharacteristic
735C2×C22⋊C4C22×C411yescharacteristic
736C2×C22⋊C4C22×C411yescharacteristic
737C2×C22⋊C4C22×C411yescharacteristic
738C2×C22⋊C4C22×C411yescharacteristic
739C2×C22⋊C4C22×C411yescharacteristic
740C2×C22⋊C4C22×C411yescharacteristic
741C2×C22⋊C4C22×C411yescharacteristic
742C2×C22⋊C4C22×C411yescharacteristic
743C2×C22⋊C4C22×C411yescharacteristic
744C2×C22⋊C4C22×C411yescharacteristic
745C2×C22⋊C4C22×C411yescharacteristic
746C2×C22⋊C4C22×C411yescharacteristic
747C2×C22⋊C4C22×C411yescharacteristic
748C2×C22⋊C4C22×C411yescharacteristic
749C2×C22⋊C4C22×C411yescharacteristic
750C2×C22⋊C4C22×C411yescharacteristic
751C2×C22⋊C4C22×C411yescharacteristic
752C2×C22⋊C4C22×C411yescharacteristic
753C2×C22⋊C4C22×C411yescharacteristic
754C2×C22⋊C4C22×C411yescharacteristic
755C2×C42—22no—
756C2×C42—22no—
757C2×C42—22no—
758C2×C42—22no—
759C2×C42—41no—
760C2×C42—41no—
761C2×C42—41no—
762C2×C42—41no—
763C2×C42—41no—
764C2×C42—41no—
765C2×C42—41no—
766C2×C42—41no—
767C2×C42C22×C411yescharacteristic
768C2×C42C22×C411yescharacteristic
769C2×C42C22×C411yescharacteristic
770C2×C42C22×C411yescharacteristic
771C2×C42C22×C411yescharacteristic
772C2×C42C22×C411yescharacteristic
773C2×C42C22×C411yescharacteristic
774C2×C42C22×C411yescharacteristic
775C2×C42C22×C411yescharacteristic
776C2×C42C22×C411yescharacteristic
777C2×C42C22×C411yescharacteristic
778C2×C42C22×C411yescharacteristic
779C2×C42C2411yescharacteristic
780C2×C42C2411yescharacteristic
781C2×C42C2411yescharacteristic
782C2×C42C2411yescharacteristic
783C2×C42C2411yescharacteristic
784C2×C42C2411yescharacteristic
785C2×C42C2411yescharacteristic
786C2×C42C2411yescharacteristic
787C4⋊C8—41no—
788C4⋊C8—41no—
789C4⋊C8—41no—
790C4⋊C8—41no—
791C4⋊C8—41no—
792C4⋊C8—41no—
793C4⋊C8—41no—
794C4⋊C8—41no—
795C4⋊C8—41no—
796C4⋊C8—41no—
797C4⋊C8—41no—
798C4⋊C8—41no—
799C4⋊C8—41no—
800C4⋊C8—41no—
801C4⋊C8—41no—
802C4⋊C8—41no—
803C22⋊C8—22no—
804C22⋊C8—22no—
805C22⋊C8—22no—
806C22⋊C8—22no—
807C22⋊C8—22no—
808C22⋊C8—22no—
809C22⋊C8—22no—
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—22no—
820C22⋊C8—22no—
821C22⋊C8—22no—
822C22⋊C8—22no—
823C22⋊C8—22no—
824C22⋊C8—22no—
825C22⋊C8—22no—
826C22⋊C8—22no—
827C22⋊C8—22no—
828C22⋊C8—22no—
829C22⋊C8—22no—
830C22⋊C8—22no—
831C22⋊C8—22no—
832C22⋊C8—22no—
833C22⋊C8—22no—
834C22⋊C8—22no—
835C22⋊C8—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—
851#97—41no—
852#97—41no—
853#97—41no—
854#97—41no—
855#97—41no—
856#97—41no—
857#97—41no—
858#97—41no—
859#97—41no—
860#97—41no—
861C4×C8—41no—
862C4×C8—41no—
863C4×C8—41no—
864C4×C8—41no—
865C4×C8—41no—
866C4×C8—41no—
867#95C22×C411yescharacteristic
868#95C22×C411yescharacteristic
869#95C22×C411yescharacteristic
870#95C22×C411yescharacteristic
871#95C22×C411yescharacteristic
872#95C22×C411yescharacteristic
873#95C22×C411yescharacteristic
874#95C22×C411yescharacteristic
875#95C22×C411yescharacteristic
876#95C22×C411yescharacteristic
877#95C22×C411yescharacteristic
878#95C22×C411yescharacteristic
879#95C22×C411yescharacteristic
880#95C22×C411yescharacteristic
881#95C22×C411yescharacteristic
882#95C22×C411yescharacteristic
883#95C22×C411yescharacteristic
884#95C22×C411yescharacteristic
885#95C22×C411yescharacteristic
886#95C22×C411yescharacteristic
887#95C22×C411yescharacteristic
888#95C22×C411yescharacteristic
889#95C22×C411yescharacteristic
890#95C22×C411yescharacteristic
891#95C22×C411yescharacteristic
892#95C22×C411yescharacteristic
893#95C22×C411yescharacteristic
894#95C22×C411yescharacteristic
895#95C22×C411yescharacteristic
896#95C22×C411yescharacteristic
897#95C22×C411yescharacteristic
898#95C22×C411yescharacteristic
899C24—22no—
900C24—22no—
901C24—22no—
902C24—22no—
903C24—22no—
904C24—22no—
905C24—22no—
906C24—22no—
907C24—41no—
908C24—41no—
909C24—41no—
910C24—41no—
911C24—41no—
912C24—41no—
913C24—41no—
914C24—41no—
915C24—41no—
916C24—41no—
917C24—41no—
918C24—41no—
919C24—41no—
920C24C23×C411yescharacteristic
921C24C23×C411yescharacteristic
922C24C23×C411yescharacteristic
923C24C23×C411yescharacteristic
924C24C23×C411yescharacteristic
925C24C23×C411yescharacteristic
926C24C23×C411yescharacteristic
927#41—28no—
928#41—28no—
929#41—28no—
930#41—28no—
931#41—44no—
932#41—44no—
933#41—44no—
934#41—44no—
935#41—44no—
936#41—44no—
937#41—44no—
938#41—44no—
939#41—44no—
940#41—44no—
941#41—44no—
942#41—44no—
943#41—416no—
944#41—416no—
945#41—416no—
946#41—416no—
947C2×Q8—22no—
948C2×Q8—22no—
949C2×Q8—22no—
950C2×Q8—22no—
951C2×Q8—22no—
952C2×Q8—22no—
953C2×Q8—22no—
954C2×Q8—41no—
955C2×Q8—41no—
956C2×Q8—41no—
957C2×Q8—41no—
958C2×Q8—416no—
959C2×Q8#11714yes—
960C2×D4—22no—
961C2×D4—22no—
962C2×D4—22no—
963C2×D4—22no—
964C2×D4—22no—
965C2×D4—22no—
966C2×D4—22no—
967C2×D4—22no—
968C2×D4—22no—
969C2×D4—22no—
970C2×D4—22no—
971C2×D4—22no—
972C2×D4—22no—
973C2×D4—22no—
974C2×D4—22no—
975C2×D4—22no—
976C2×D4—22no—
977C2×D4—22no—
978C2×D4—22no—
979C2×D4—22no—
980C2×D4—22no—
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—416no—
994C2×D4—416no—
995C2×D4—416no—
996C2×D4#11714yes—
997C2×D4#11714yes—
998C2×D4#11714yes—
999C22×C4—21no—
1000C22×C4—21no—
1001C22×C4—21no—
1002C22×C4—21no—
1003C22×C4—21no—
1004C22×C4—21no—
1005C22×C4—21no—
1006C22×C4—21no—
1007C22×C4—21no—
1008C22×C4—21no—
1009C22×C4—21no—
1010C22×C4—21no—
1011C22×C4—21no—
1012C22×C4—21no—
1013C22×C4—21no—
1014C22×C4—21no—
1015C22×C4—21no—
1016C22×C4—21no—
1017C22×C4—21no—
1018C22×C4—21no—
1019C22×C4—22no—
1020C22×C4—22no—
1021C22×C4—22no—
1022C22×C4—22no—
1023C22×C4—22no—
1024C22×C4—22no—
1025C22×C4—22no—
1026C22×C4—22no—
1027C22×C4—22no—
1028C22×C4—22no—
1029C22×C4—22no—
1030C22×C4—22no—
1031C22×C4—22no—
1032C22×C4—22no—
1033C22×C4—22no—
1034C22×C4—22no—
1035C22×C4—22no—
1036C22×C4—22no—
1037C22×C4—22no—
1038C22×C4—22no—
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—21no—
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—44no—
1067C22×C4—44no—
1068C22×C4—44no—
1069C22×C4—44no—
1070C22×C4—44no—
1071C22×C4—44no—
1072C22×C4—44no—
1073C22×C4—44no—
1074C22×C4—41no—
1075C22×C4—41no—
1076C22×C4—41no—
1077C22×C4—41no—
1078C22×C4—41no—
1079C22×C4—41no—
1080C22×C4—41no—
1081C22×C4—41no—
1082C22×C4—41no—
1083C22×C4—41no—
1084C22×C4—41no—
1085C22×C4—41no—
1086C22×C4—41no—
1087C22×C4—41no—
1088C22×C4—41no—
1089C22×C4—41no—
1090C22×C4—41no—
1091C22×C4—41no—
1092C22×C4—41no—
1093C22×C4—41no—
1094C22×C4—41no—
1095C22×C4—41no—
1096C22×C4—41no—
1097C22×C4—41no—
1098C22×C4—41no—
1099C22×C4—41no—
1100C22×C4—41no—
1101C22×C4—41no—
1102C22×C4—44no—
1103C22×C4—44no—
1104C22×C4—44no—
1105C22×C4—44no—
1106C22×C4C23×C411yescharacteristic
1107C22×C4C23×C411yescharacteristic
1108C22×C4C23×C411yescharacteristic
1109C22×C4C23×C411yescharacteristic
1110C22×C4C23×C411yescharacteristic
1111C22×C4C23×C411yescharacteristic
1112C22×C4C23×C411yescharacteristic
1113C22×C4C23×C411yescharacteristic
1114C22×C4C23×C411yescharacteristic
1115C22×C4C23×C411yescharacteristic
1116C22×C4C23×C411yescharacteristic
1117C22×C4C23×C411yescharacteristic
1118C22×C4C23×C411yescharacteristic
1119C22×C4C23×C411yescharacteristic
1120C22×C4C23×C411yescharacteristic
1121C22×C4C23×C411yescharacteristic
1122C22×C4C23×C411yescharacteristic
1123C22×C4C23×C411yescharacteristic
1124C22×C4C23×C411yescharacteristic
1125C22×C4C23×C411yescharacteristic
1126C22×C4C23×C411yescharacteristic
1127C22×C4C23×C411yescharacteristic
1128C22×C4C23×C411yescharacteristic
1129C22×C4C2×#4112yes—
1130C22×C4C2×#4112yes—
1131C22×C4C2×#4112yes—
1132C22×C4C2×#4112yes—
1133C22×C4C2×#4112yes—
1134C22×C4C2×#4112yes—
1135C22×C4H(5,𝔽2)12yes—
1136C22×C4H(5,𝔽2)12yes—
1137C22×C4H(5,𝔽2)12yes—
1138C22×C4H(5,𝔽2)12yes—
1139C22×C4C2511yescharacteristic
1140M16—82no—
1141M16—82no—
1142M16—82no—
1143M16—82no—
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—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—82no—
1193C2×C8—82no—
1194C2×C8—82no—
1195C2×C8—82no—
1196C4⋊C4—22no—
1197C4⋊C4—22no—
1198C4⋊C4—22no—
1199C4⋊C4—22no—
1200C4⋊C4—41no—
1201C4⋊C4—41no—
1202C4⋊C4—41no—
1203C4⋊C4—41no—
1204C4⋊C4—41no—
1205C4⋊C4—41no—
1206C4⋊C4—41no—
1207C4⋊C4—41no—
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—41no—
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—
1248C22⋊C4—41no—
1249C22⋊C4—41no—
1250C22⋊C4—41no—
1251C22⋊C4—41no—
1252C42—22no—
1253C42—22no—
1254C42—22no—
1255C42—22no—
1256C42—21no—
1257C42—21no—
1258C42—21no—
1259C42—21no—
1260C42—21no—
1261C42—21no—
1262C42—21no—
1263C42—21no—
1264C42—21no—
1265C42—21no—
1266C42—21no—
1267C42—21no—
1268C42—21no—
1269C42—21no—
1270C42—21no—
1271C42—21no—
1272C42—41no—
1273C42—41no—
1274C42—41no—
1275C42—41no—
1276C42—41no—
1277C42—41no—
1278C42—41no—
1279C42—41no—
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—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—82no—
1343C23—82no—
1344C23C2×#11712yes—
1345C23C2×#11712yes—
1346C23C2×#11712yes—
1347C23#51812yes—
1348C23#51812yes—
1349C23#56812yes—
1350C23C24×C411yescharacteristic
1351Q8—28no—
1352Q8—44no—
1353Q8—44no—
1354Q8—44no—
1355D4—28no—
1356D4—28no—
1357D4—28no—
1358D4—44no—
1359D4—44no—
1360D4—44no—
1361D4—44no—
1362D4—44no—
1363D4—44no—
1364D4—44no—
1365D4—44no—
1366D4—44no—
1367C2×C4—21no—
1368C2×C4—21no—
1369C2×C4—21no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—22no—
1380C2×C4—22no—
1381C2×C4—22no—
1382C2×C4—22no—
1383C2×C4—22no—
1384C2×C4—22no—
1385C2×C4—22no—
1386C2×C4—22no—
1387C2×C4—22no—
1388C2×C4—22no—
1389C2×C4—22no—
1390C2×C4—22no—
1391C2×C4—22no—
1392C2×C4—22no—
1393C2×C4—22no—
1394C2×C4—22no—
1395C2×C4—22no—
1396C2×C4—22no—
1397C2×C4—22no—
1398C2×C4—22no—
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—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—44no—
1451C2×C4—44no—
1452C2×C4—44no—
1453C2×C4—44no—
1454C2×C4—44no—
1455C2×C4—44no—
1456C2×C4—44no—
1457C2×C4—44no—
1458C2×C4—44no—
1459C2×C4—44no—
1460C2×C4—41no—
1461C2×C4—41no—
1462C2×C4—41no—
1463C2×C4—41no—
1464C2×C4—41no—
1465C2×C4—41no—
1466C2×C4—41no—
1467C2×C4—41no—
1468C2×C4—82no—
1469C2×C4—82no—
1470C2×C4—82no—
1471C2×C4—82no—
1472C2×C4—82no—
1473C2×C4—82no—
1474C2×C4—82no—
1475C2×C4—82no—
1476C2×C4—82no—
1477C2×C4—82no—
1478C2×C4—82no—
1479C2×C4C2×#11712yes—
1480C2×C4C2×#11712yes—
1481C2×C4C2×#11712yes—
1482C2×C4#51812yes—
1483C2×C4#51812yes—
1484C2×C4#56812yes—
1485C2×C4C22×#4111yescharacteristic
1486C2×C4C22×#4111yescharacteristic
1487C2×C4C2×H(5,𝔽2)11yescharacteristic
1488C2×C4C2×H(5,𝔽2)11yescharacteristic
1489C2×C4C2×H(5,𝔽2)11yescharacteristic
1490C2×C4C2×H(5,𝔽2)11yescharacteristic
1491C8—41no—
1492C8—41no—
1493C8—41no—
1494C8—41no—
1495C8—41no—
1496C8—41no—
1497C8—41no—
1498C8—41no—
1499C8—41no—
1500C8—41no—
1501C8—41no—
1502C8—41no—
1503C8—41no—
1504C8—41no—
1505C8—41no—
1506C8—41no—
1507C22—22no—
1508C22—22no—
1509C22—22no—
1510C22—22no—
1511C22—22no—
1512C22—22no—
1513C22—22no—
1514C22—22no—
1515C22—22no—
1516C22—22no—
1517C22—22no—
1518C22—22no—
1519C22—22no—
1520C22—22no—
1521C22—22no—
1522C22—22no—
1523C22—22no—
1524C22—22no—
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—88no—
1557C22—88no—
1558C22—88no—
1559C22C22×#11711yescharacteristic
1560C22C2×#51811yescharacteristic
1561C22C2×#51811yescharacteristic
1562C22C2×#56811yescharacteristic
1563C22C2×#56811yescharacteristic
1564C22#357311yescharacteristic
1565C22#357311yescharacteristic
1566C4—22no—
1567C4—22no—
1568C4—22no—
1569C4—22no—
1570C4—22no—
1571C4—22no—
1572C4—41no—
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#349011yescharacteristic
1590C4#349011yescharacteristic
1591C4#349011yescharacteristic
1592C4#349011yescharacteristic
1593C2—42no—
1594C2—42no—
1595C2—42no—
1596C2—42no—
1597C2—42no—
1598C2—42no—
1599C2—81no—
1600C2#3417611yescharacteristic
1601C2#6012811yescharacteristic
1602C2#6012911yescharacteristic
1603C2#6024011yescharacteristic
1604C2#6024011yescharacteristic
1605C2#6024011yescharacteristic
1606C2#6024111yescharacteristic
subgroupG/H
center, Frattini, cosocleC22×C4C25
commutator, socleC23C24×C4
prime radicalC23×#41C22
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. #22561C2semidirect
3. #22561C2semidirect
4. #22561C2semidirect
5. #22560C2semidirect
6. #22559C2semidirect
7. #22559C2semidirect
8. #22558C2semidirect
9. #22558C2semidirect
10. #22557C2semidirect
11. #22557C2semidirect
12. #22557C2semidirect
13. #22556C2semidirect
14. #22555C2semidirect
15. #22554C2semidirect
16. #22554C2semidirect
17. #22553C2semidirect
18. #21937C2semidirect
19. #21936C2semidirect
20. #21910C2semidirect
21. #21908C2semidirect
22. #21906C2semidirect
23. #21904C2semidirect
24. #20721C2semidirect
25. #20720C2semidirect
26. #20720C2semidirect
27. #20719C2semidirect
30. #20532C2semidirect
31. #20531C2semidirect
35. C2×#433C22semidirect
36. C2×#433C22semidirect
37. C2×#433C22semidirect
38. C2×#433C22semidirect
39. C2×#432C22semidirect
40. C2×#432C22semidirect
41. C2×#432C22semidirect
42. C2×#431C22semidirect
93. #1924C22semidirect
94. #1924C22semidirect
95. #1924C22semidirect
96. #1924C22semidirect
97. #1924C22semidirect
98. #1924C22semidirect
99. #1924C22semidirect
100. #1924C22semidirect
101. #1924C22semidirect
102. #1924C22semidirect
109. #1923C22semidirect
110. #1923C22semidirect
111. #1923C22semidirect
112. #1923C22semidirect
113. #1923C22semidirect
114. #1923C22semidirect
115. #1851C22semidirect
116. #1851C22semidirect
117. #1851C22semidirect
118. #1851C22semidirect
119. #1851C22semidirect
120. #1851C22semidirect
121. #1851C22semidirect
122. #1851C22semidirect
123. #1850C22semidirect
124. #1850C22semidirect
125. #1850C22semidirect
126. #1850C22semidirect
127. #1850C22semidirect
128. #1850C22semidirect
129. #1850C22semidirect
130. #1850C22semidirect
131. #1818C22semidirect
132. #1818C22semidirect
133. #1818C22semidirect
134. #1818C22semidirect
135. #1817C22semidirect
136. #1817C22semidirect
137. #1817C22semidirect
138. #1817C22semidirect
139. #1798C22semidirect
140. #1798C22semidirect
141. #1798C22semidirect
142. #1798C22semidirect
143. #1798C22semidirect
144. #1798C22semidirect
145. #1798C22semidirect
146. #1798C22semidirect
147. #1797C22semidirect
148. #1797C22semidirect
149. #1797C22semidirect
150. #1797C22semidirect
151. #1797C22semidirect
152. #1797C22semidirect
153. #1797C22semidirect
154. #1797C22semidirect
171. #1753C22semidirect
172. #1753C22semidirect
173. #1753C22semidirect
174. #1753C22semidirect
175. #1753C22semidirect
176. #1753C22semidirect
177. #1753C22semidirect
178. #1753C22semidirect
179. #1752C22semidirect
180. #1752C22semidirect
181. #1752C22semidirect
182. #1752C22semidirect
183. #1752C22semidirect
184. #1752C22semidirect
185. C8×C22⋊C4C22semidirect
186. C8×C22⋊C4C22semidirect
187. #1750C22semidirect
188. #1750C22semidirect
189. #1750C22semidirect
190. #1750C22semidirect
191. #1750C22semidirect
192. #1750C22semidirect
193. #1750C22semidirect
194. #1750C22semidirect
195. #1749C22semidirect
196. #1749C22semidirect
197. #1749C22semidirect
198. #1749C22semidirect
199. #1749C22semidirect
200. #1749C22semidirect
201. C4×C22⋊C8C22semidirect
202. C4×C22⋊C8C22semidirect

Maximal subgroups

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

subgroupindex
C22⋊C4×#412
#225612
#225602
#225592
#225582
#225572
#225562
#225552
#225542
#225532
#219372
#219362
#219102
#219082
#219062
#219042
#207212
#207202
#207192
#205812
#205322
#205312