Finite Group Databasebeta

← C2×#57187 #8100356

Subgroups — C2×#57187 #8100356

Order 512.

7450 conjugacy classes of subgroups.

The subgroup lattice has 1750 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#57187C2132yesmaximal, direct product factor
2C2×#2782C211yesmaximal, characteristic, complemented
3C2×#2781C211yesmaximal, characteristic, complemented
4C2×#2750C211yesmaximal, characteristic, complemented
5C2×#2746C211yesmaximal, characteristic, complemented
6C2×#2746C211yesmaximal, characteristic, complemented
7C2×#2741C211yesmaximal, characteristic, complemented
8C2×#2709C211yesmaximal, characteristic, complemented
9C2×#2703C211yesmaximal, characteristic, complemented
10C2×#2697C211yesmaximal, characteristic, complemented
11C2×#2688C211yesmaximal, characteristic, complemented
12C2×#2688C211yesmaximal, characteristic, complemented
13C2×#2671C211yesmaximal, characteristic, complemented
14C2×#2671C211yesmaximal, characteristic, complemented
15C2×#2671C211yesmaximal, characteristic, complemented
16C2×#2669C211yesmaximal, characteristic, complemented
17C2×#2669C211yesmaximal, characteristic, complemented
18C2×#2825C211yesmaximal, characteristic, complemented
19C2×#2827C211yesmaximal, characteristic, complemented
20C2×#2813C211yesmaximal, characteristic, complemented
21C2×#2535C211yesmaximal, characteristic, complemented
22C2×#2534C211yesmaximal, characteristic, complemented
23C2×#2412C211yesmaximal, characteristic, complemented
24C2×#2456C211yesmaximal, characteristic, complemented
25C2×#2418C211yesmaximal, characteristic, complemented
26C2×#2418C211yesmaximal, characteristic, complemented
27C2×#2410C211yesmaximal, characteristic, complemented
28C2×#2410C211yesmaximal, characteristic, complemented
29C2×#2410C211yesmaximal, characteristic, complemented
30C2×#2635C211yesmaximal, characteristic, complemented
31C2×#2635C211yesmaximal, characteristic, complemented
32C2×#2622C211yesmaximal, characteristic, complemented
33C24×D4C2211yescharacteristic
34C22×#127C2211yescharacteristic
35C22×#123C2211yescharacteristic
36C22×#123C2211yescharacteristic, complemented
37C22×#123C2211yescharacteristic, complemented
38C22×#123C2211yescharacteristic, complemented
39C22×#121C2211yescharacteristic
40C22×#121C2211yescharacteristic
41C22×#121C2211yescharacteristic
42C22×#121C2211yescharacteristic
43C22×#121C2211yescharacteristic
44C22×#121C2211yescharacteristic
45C22×#121C2211yescharacteristic, complemented
46C22×#121C2211yescharacteristic, complemented
47C22×#121C2211yescharacteristic, complemented
48C22×#121C2211yescharacteristic, complemented
49C22×#120C2211yescharacteristic
50C22×#120C2211yescharacteristic
51C22×#120C2211yescharacteristic
52C22×#120C2211yescharacteristic
53C22×#120C2211yescharacteristic
54C22×#120C2211yescharacteristic
55C22×C4×D4C2211yescharacteristic, complemented
56C22×C4×D4C2211yescharacteristic, complemented
57C22×C4×D4C2211yescharacteristic, complemented
58C23×C22⋊C4C2211yescharacteristic
59C23×C22⋊C4C2211yescharacteristic
60C23×C22⋊C4C2211yescharacteristic
61#2827C22116yescomplemented
62#2825C22116yescomplemented
63#2813C22116yescomplemented
64#2782C22116yescomplemented
65#2781C22116yescomplemented
66#2750C22116yescomplemented
67#2746C22116yescomplemented
68#2746C22116yescomplemented
69#2741C22116yescomplemented
70#2709C22116yescomplemented
71#2703C22116yescomplemented
72#2697C22116yescomplemented
73#2688C22116yescomplemented
74#2688C22116yescomplemented
75#2671C22116yescomplemented
76#2671C22116yescomplemented
77#2671C22116yescomplemented
78#2669C22116yescomplemented
79#2669C22116yescomplemented
80#2635C22116yescomplemented
81#2635C22116yescomplemented
82#2622C22116yescomplemented
83#2535C22116yescomplemented
84#2534C22116yescomplemented
85#2456C22116yescomplemented
86#2418C22116yescomplemented
87#2418C22116yescomplemented
88#2412C22116yescomplemented
89#2410C22116yescomplemented
90#2410C22116yescomplemented
91#2410C22116yescomplemented
92C2×#401C2211yescharacteristic, complemented
93C2×#400C2211yescharacteristic, complemented
94C2×#400C2211yescharacteristic, complemented
95C2×#400C2211yescharacteristic, complemented
96C2×#400C2211yescharacteristic, complemented
97C2×#400C2211yescharacteristic, complemented
98C2×#400C2211yescharacteristic, complemented
99C2×#399C2211yescharacteristic, complemented
100C2×#399C2211yescharacteristic, complemented
101C2×#399C2211yescharacteristic, complemented
102C2×#399C2211yescharacteristic, complemented
103C2×#398C2211yescharacteristic, complemented
104C2×#398C2211yescharacteristic, complemented
105C2×#398C2211yescharacteristic, complemented
106C2×#397C2211yescharacteristic
107C2×#397C2211yescharacteristic
108C2×#397C2211yescharacteristic
109C2×#397C2211yescharacteristic, complemented
110C2×#397C2211yescharacteristic, complemented
111C2×#397C2211yescharacteristic, complemented
112C2×#397C2211yescharacteristic, complemented
113C2×#397C2211yescharacteristic, complemented
114C2×#397C2211yescharacteristic, complemented
115C2×#397C2211yescharacteristic, complemented
116C2×#396C2211yescharacteristic
117C2×#396C2211yescharacteristic, complemented
118C2×#396C2211yescharacteristic, complemented
119C2×#396C2211yescharacteristic, complemented
120C2×#394C2211yescharacteristic
121C2×#394C2211yescharacteristic
122C2×#394C2211yescharacteristic
123C2×#394C2211yescharacteristic
124C2×#394C2211yescharacteristic
125C2×#394C2211yescharacteristic
126C2×#394C2211yescharacteristic
127C2×#394C2211yescharacteristic
128C2×#394C2211yescharacteristic
129C2×#394C2211yescharacteristic
130C2×#394C2211yescharacteristic
131C2×#394C2211yescharacteristic
132C2×#394C2211yescharacteristic, complemented
133C2×#394C2211yescharacteristic, complemented
134C2×#394C2211yescharacteristic, complemented
135C2×#394C2211yescharacteristic, complemented
136C2×#394C2211yescharacteristic, complemented
137C2×#394C2211yescharacteristic, complemented
138C2×#394C2211yescharacteristic, complemented
139C2×#394C2211yescharacteristic, complemented
140C2×#394C2211yescharacteristic, complemented
141C2×#394C2211yescharacteristic, complemented
142C2×#392C2211yescharacteristic
143C2×#392C2211yescharacteristic
144C2×#392C2211yescharacteristic
145C2×#392C2211yescharacteristic
146C2×#392C2211yescharacteristic
147C2×#392C2211yescharacteristic
148C2×#392C2211yescharacteristic, complemented
149C2×#392C2211yescharacteristic, complemented
150C2×#392C2211yescharacteristic, complemented
151C2×#392C2211yescharacteristic, complemented
152C2×#392C2211yescharacteristic, complemented
153C2×#392C2211yescharacteristic, complemented
154C2×#392C2211yescharacteristic, complemented
155C2×#392C2211yescharacteristic, complemented
156C2×#390C2211yescharacteristic, complemented
157C2×#388C2211yescharacteristic
158C2×#388C2211yescharacteristic
159C2×#388C2211yescharacteristic, complemented
160C2×#388C2211yescharacteristic, complemented
161C2×#388C2211yescharacteristic, complemented
162C2×#388C2211yescharacteristic, complemented
163C2×#388C2211yescharacteristic, complemented
164C2×#388C2211yescharacteristic, complemented
165C2×#388C2211yescharacteristic, complemented
166C2×#388C2211yescharacteristic, complemented
167C2×#388C2211yescharacteristic, complemented
168C2×#388C2211yescharacteristic, complemented
169C2×#387C2211yescharacteristic, complemented
170C2×#387C2211yescharacteristic, complemented
171C2×#387C2211yescharacteristic, complemented
172C2×#386C2211yescharacteristic
173C2×#386C2211yescharacteristic
174C2×#386C2211yescharacteristic
175C2×#386C2211yescharacteristic
176C2×#386C2211yescharacteristic
177C2×#386C2211yescharacteristic
178C2×#386C2211yescharacteristic
179C2×#386C2211yescharacteristic
180C2×#386C2211yescharacteristic
181C2×#386C2211yescharacteristic
182C2×#386C2211yescharacteristic
183C2×#386C2211yescharacteristic, complemented
184C2×#386C2211yescharacteristic, complemented
185C2×#386C2211yescharacteristic, complemented
186C2×#386C2211yescharacteristic, complemented
187C2×#386C2211yescharacteristic, complemented
188C2×#386C2211yescharacteristic, complemented
189C2×#386C2211yescharacteristic, complemented
190C2×#386C2211yescharacteristic, complemented
191C2×#386C2211yescharacteristic, complemented
192C2×#386C2211yescharacteristic, complemented
193C2×#386C2211yescharacteristic, complemented
194C2×#386C2211yescharacteristic, complemented
195C2×#386C2211yescharacteristic, complemented
196C2×#385C2211yescharacteristic
197C2×#385C2211yescharacteristic
198C2×#385C2211yescharacteristic
199C2×#385C2211yescharacteristic, complemented
200C2×#385C2211yescharacteristic, complemented
201C2×#385C2211yescharacteristic, complemented
202C2×#385C2211yescharacteristic, complemented
203C2×#385C2211yescharacteristic, complemented
204C2×#385C2211yescharacteristic, complemented
205C2×#385C2211yescharacteristic, complemented
206C2×#382C2211yescharacteristic, complemented
207C2×#381C2211yescharacteristic, complemented
208C2×#381C2211yescharacteristic, complemented
209C2×#381C2211yescharacteristic, complemented
210C2×#380C2211yescharacteristic, complemented
211C2×#380C2211yescharacteristic, complemented
212C2×#380C2211yescharacteristic, complemented
213C2×#380C2211yescharacteristic, complemented
214C2×#380C2211yescharacteristic, complemented
215C2×#380C2211yescharacteristic, complemented
216C2×#379C2211yescharacteristic
217C2×#379C2211yescharacteristic
218C2×#379C2211yescharacteristic
219C26C2311yescharacteristic
220C26C2311yescharacteristic
221C23×D4—44no—
222C23×D4—44no—
223C23×D4—44no—
224C23×D4C2311yescharacteristic
225C23×D4C2311yescharacteristic
226C23×D4C2311yescharacteristic
227C23×D4C2311yescharacteristic
228C23×D4C2311yescharacteristic
229C23×D4C2311yescharacteristic
230C23×D4C2311yescharacteristic
231C23×D4C2311yescharacteristic
232C23×D4C2311yescharacteristic
233C23×D4C2311yescharacteristic
234C23×D4C2311yescharacteristic
235C23×D4C2311yescharacteristic
236C23×D4C2311yescharacteristic
237C23×D4C2311yescharacteristic
238C23×D4C2311yescharacteristic
239C23×D4C2311yescharacteristic
240C23×D4C2318yes—
241C23×D4C2311yescharacteristic
242C23×D4C2311yescharacteristic
243C23×D4C2311yescharacteristic
244C23×D4C2311yescharacteristic
245C23×D4C2311yescharacteristic
246C23×D4C2311yescharacteristic
247C24×C4C2311yescharacteristic
248C24×C4C2311yescharacteristic
249C24×C4C2311yescharacteristic
250C24×C4C2311yescharacteristic
251C24×C4C2311yescharacteristic
252C24×C4C2311yescharacteristic
253C24×C4C2311yescharacteristic
254C24×C4C2311yescharacteristic
255C24×C4C2311yescharacteristic
256C24×C4C2311yescharacteristic
257C2×#127—44no—
258C2×#127C2318yes—
259C2×#123—44no—
260C2×#123—44no—
261C2×#123—44no—
262C2×#123—44no—
263C2×#123C2318yes—
264C2×#123C2318yescomplemented
265C2×#123C2318yescomplemented
266C2×#123C2318yescomplemented
267C2×#121—44no—
268C2×#121—44no—
269C2×#121—44no—
270C2×#121—44no—
271C2×#121—44no—
272C2×#121—44no—
273C2×#121—44no—
274C2×#121—44no—
275C2×#121—44no—
276C2×#121—44no—
277C2×#121C2318yes—
278C2×#121C2318yes—
279C2×#121C2318yes—
280C2×#121C2318yes—
281C2×#121C2318yes—
282C2×#121C2318yes—
283C2×#121C2318yescomplemented
284C2×#121C2318yescomplemented
285C2×#121C2318yescomplemented
286C2×#121C2318yescomplemented
287C2×#120—44no—
288C2×#120—44no—
289C2×#120—44no—
290C2×#120—44no—
291C2×#120—44no—
292C2×#120—44no—
293C2×#120C2318yes—
294C2×#120C2318yes—
295C2×#120C2318yes—
296C2×#120C2318yes—
297C2×#120C2318yes—
298C2×#120C2318yes—
299C2×C4×D4—44no—
300C2×C4×D4—44no—
301C2×C4×D4—44no—
302C2×C4×D4C2318yescomplemented
303C2×C4×D4C2318yescomplemented
304C2×C4×D4C2318yescomplemented
305C22×C4⋊C4C2311yescharacteristic
306C22×C4⋊C4C2311yescharacteristic
307C22×C4⋊C4C2311yescharacteristic
308C22×C4⋊C4C2311yescharacteristic
309C22×C4⋊C4C2311yescharacteristic
310C22×C4⋊C4C2311yescharacteristic
311C22×C4⋊C4C2311yescharacteristic
312C22×C4⋊C4C2311yescharacteristic
313C22×C4⋊C4C2311yescharacteristic
314C22×C4⋊C4C2311yescharacteristic
315C22×C4⋊C4C2311yescharacteristic
316C22×C4⋊C4C2311yescharacteristic
317C22×C4⋊C4C2311yescharacteristic
318C22×C4⋊C4C2311yescharacteristic
319C22×C4⋊C4C2311yescharacteristic
320C22×C4⋊C4C2311yescharacteristic
321C22×C4⋊C4C2311yescharacteristic
322C22×C4⋊C4C2311yescharacteristic
323C22×C4⋊C4C2311yescharacteristic
324C22×C4⋊C4C2311yescharacteristic
325C22×C4⋊C4C2311yescharacteristic
326C22×C4⋊C4C2311yescharacteristic
327C22×C22⋊C4—44no—
328C22×C22⋊C4—44no—
329C22×C22⋊C4—44no—
330C22×C22⋊C4C2311yescharacteristic
331C22×C22⋊C4C2311yescharacteristic
332C22×C22⋊C4C2311yescharacteristic
333C22×C22⋊C4C2311yescharacteristic
334C22×C22⋊C4C2311yescharacteristic
335C22×C22⋊C4C2311yescharacteristic
336C22×C22⋊C4C2311yescharacteristic
337C22×C22⋊C4C2311yescharacteristic
338C22×C22⋊C4C2311yescharacteristic
339C22×C22⋊C4C2311yescharacteristic
340C22×C22⋊C4C2311yescharacteristic
341C22×C22⋊C4C2311yescharacteristic
342C22×C22⋊C4C2311yescharacteristic
343C22×C22⋊C4C2311yescharacteristic
344C22×C22⋊C4C2311yescharacteristic
345C22×C22⋊C4C2318yes—
346C22×C22⋊C4C2311yescharacteristic
347C22×C22⋊C4C2311yescharacteristic
348C22×C22⋊C4C2311yescharacteristic
349C22×C22⋊C4C2311yescharacteristic
350C22×C22⋊C4C2311yescharacteristic
351C22×C22⋊C4C2311yescharacteristic
352C22×C22⋊C4C2311yescharacteristic
353C22×C22⋊C4C2311yescharacteristic
354C22×C22⋊C4C2311yescharacteristic
355C22×C22⋊C4C2311yescharacteristic
356C22×C22⋊C4C2311yescharacteristic
357C22×C22⋊C4C2311yescharacteristic
358C22×C22⋊C4C2311yescharacteristic
359C22×C22⋊C4C2311yescharacteristic
360C22×C22⋊C4C2311yescharacteristic
361C22×C22⋊C4C2311yescharacteristic
362C22×C22⋊C4C2311yescharacteristic
363C22×C22⋊C4C2311yescharacteristic
364C22×C22⋊C4C2311yescharacteristic
365C22×C22⋊C4C2311yescharacteristic
366C22×C22⋊C4C2311yescharacteristic
367C22×C22⋊C4C2311yescharacteristic
368C22×C22⋊C4C2311yescharacteristic
369C22×C22⋊C4C2311yescharacteristic
370C22×C22⋊C4C2311yescharacteristic
371C22×C22⋊C4C2311yescharacteristic
372C22×C22⋊C4C2311yescharacteristic
373C22×C22⋊C4C2311yescharacteristic
374C22×C22⋊C4C2311yescharacteristic
375C22×C22⋊C4C2311yescharacteristic
376C22×C22⋊C4C2311yescharacteristic
377C22×C22⋊C4C2311yescharacteristic
378C22×C22⋊C4C2311yescharacteristic
379C22×C22⋊C4C2311yescharacteristic
380C22×C22⋊C4C2311yescharacteristic
381C22×C22⋊C4C2311yescharacteristic
382C22×C22⋊C4C2311yescharacteristic
383C22×C22⋊C4C2311yescharacteristic
384C22×C22⋊C4C2311yescharacteristic
385C22×C22⋊C4C2311yescharacteristic
386C22×C22⋊C4C2311yescharacteristic
387C22×C22⋊C4C2311yescharacteristic
388C22×C22⋊C4C2311yescharacteristic
389C22×C22⋊C4C2311yescharacteristic
390C22×C22⋊C4C2311yescharacteristic
391C22×C22⋊C4C2318yes—
392C22×C22⋊C4C2318yes—
393C22×C42C2311yescharacteristic
394C22×C42C2311yescharacteristic
395C22×C42C2311yescharacteristic
396#401C2318yescomplemented
397#400C2318yescomplemented
398#400C2318yescomplemented
399#400C2318yescomplemented
400#400C2318yescomplemented
401#400C2318yescomplemented
402#400C2318yescomplemented
403#399C2318yescomplemented
404#399C2318yescomplemented
405#399C2318yescomplemented
406#399C2318yescomplemented
407#398C2318yescomplemented
408#398C2318yescomplemented
409#398C2318yescomplemented
410#397C2318yes—
411#397C2318yes—
412#397C2318yes—
413#397C2318yescomplemented
414#397C2318yescomplemented
415#397C2318yescomplemented
416#397C2318yescomplemented
417#397C2318yescomplemented
418#397C2318yescomplemented
419#397C2318yescomplemented
420#396C2318yes—
421#396C2318yescomplemented
422#396C2318yescomplemented
423#396C2318yescomplemented
424#394C2318yes—
425#394C2318yes—
426#394C2318yes—
427#394C2318yes—
428#394C2318yes—
429#394C2318yes—
430#394C2318yes—
431#394C2318yes—
432#394C2318yes—
433#394C2318yes—
434#394C2318yes—
435#394C2318yes—
436#394C2318yescomplemented
437#394C2318yescomplemented
438#394C2318yescomplemented
439#394C2318yescomplemented
440#394C2318yescomplemented
441#394C2318yescomplemented
442#394C2318yescomplemented
443#394C2318yescomplemented
444#394C2318yescomplemented
445#394C2318yescomplemented
446#392C2318yes—
447#392C2318yes—
448#392C2318yes—
449#392C2318yes—
450#392C2318yes—
451#392C2318yes—
452#392C2318yescomplemented
453#392C2318yescomplemented
454#392C2318yescomplemented
455#392C2318yescomplemented
456#392C2318yescomplemented
457#392C2318yescomplemented
458#392C2318yescomplemented
459#392C2318yescomplemented
460#390C2318yescomplemented
461#388C2318yes—
462#388C2318yes—
463#388C2318yescomplemented
464#388C2318yescomplemented
465#388C2318yescomplemented
466#388C2318yescomplemented
467#388C2318yescomplemented
468#388C2318yescomplemented
469#388C2318yescomplemented
470#388C2318yescomplemented
471#388C2318yescomplemented
472#388C2318yescomplemented
473#387C2318yescomplemented
474#387C2318yescomplemented
475#387C2318yescomplemented
476#386C2318yes—
477#386C2318yes—
478#386C2318yes—
479#386C2318yes—
480#386C2318yes—
481#386C2318yes—
482#386C2318yes—
483#386C2318yes—
484#386C2318yes—
485#386C2318yes—
486#386C2318yes—
487#386C2318yescomplemented
488#386C2318yescomplemented
489#386C2318yescomplemented
490#386C2318yescomplemented
491#386C2318yescomplemented
492#386C2318yescomplemented
493#386C2318yescomplemented
494#386C2318yescomplemented
495#386C2318yescomplemented
496#386C2318yescomplemented
497#386C2318yescomplemented
498#386C2318yescomplemented
499#386C2318yescomplemented
500#385C2318yes—
501#385C2318yes—
502#385C2318yes—
503#385C2318yescomplemented
504#385C2318yescomplemented
505#385C2318yescomplemented
506#385C2318yescomplemented
507#385C2318yescomplemented
508#385C2318yescomplemented
509#385C2318yescomplemented
510#382C2318yescomplemented
511#381C2318yescomplemented
512#381C2318yescomplemented
513#381C2318yescomplemented
514#380C2318yescomplemented
515#380C2318yescomplemented
516#380C2318yescomplemented
517#380C2318yescomplemented
518#380C2318yescomplemented
519#380C2318yescomplemented
520#379C2318yes—
521#379C2318yes—
522#379C2318yes—
523C2×#95C2311yescharacteristic
524C2×#95C2311yescharacteristic
525C2×#95C2311yescharacteristic
526C2×#95C2311yescharacteristic
527C2×#95C2311yescharacteristic
528C2×#95C2311yescharacteristic
529C2×#95C2311yescharacteristic
530C2×#95C2311yescharacteristic
531C2×#95C2311yescharacteristic
532C2×#95C2311yescharacteristic
533C2×#95C2311yescharacteristic
534C2×#95C2311yescharacteristic
535C2×#95C2311yescharacteristic
536C2×#95C2311yescharacteristic
537C2×#95C2311yescharacteristic
538C2×#95C2311yescharacteristic
539C2×#95C2311yescharacteristic
540C2×#95C2311yescharacteristic
541C2×#95C2311yescharacteristic
542C2×#95C2311yescharacteristic
543C2×#95C2311yescharacteristic
544C2×#95C2311yescharacteristic
545C2×#95C2311yescharacteristic
546C2×#95C2311yescharacteristic
547C2×#95C2311yescharacteristic
548C2×#95C2311yescharacteristic
549C2×#95C2311yescharacteristic
550C2×#95C2311yescharacteristic
551C2×#95C2311yescharacteristic
552C2×#95C2311yescharacteristic
553C2×#95C2311yescharacteristic
554C2×#95C2311yescharacteristic
555C2×#95C2311yescharacteristic
556C2×#95C2311yescharacteristic
557C2×#95C2311yescharacteristic
558C2×#95C2311yescharacteristic
559C25—24no—
560C25—24no—
561C25—24no—
562C25—24no—
563C25—24no—
564C25—42no—
565C25—42no—
566C25—42no—
567C25—42no—
568C25—42no—
569C25—42no—
570C25—42no—
571C25—42no—
572C25—42no—
573C25C2411yescharacteristic
574C25C2411yescharacteristic
575C25C2411yescharacteristic
576C25C2411yescharacteristic
577C25C2411yescharacteristic
578C25C2411yescharacteristic
579C25C2411yescharacteristic
580C25C2411yescharacteristic
581C25C2414yes—
582C25C2414yes—
583C22×D4—24no—
584C22×D4—24no—
585C22×D4—24no—
586C22×D4—24no—
587C22×D4—24no—
588C22×D4—24no—
589C22×D4—24no—
590C22×D4—24no—
591C22×D4—24no—
592C22×D4—24no—
593C22×D4—24no—
594C22×D4—24no—
595C22×D4—24no—
596C22×D4—24no—
597C22×D4—24no—
598C22×D4—24no—
599C22×D4—24no—
600C22×D4—24no—
601C22×D4—24no—
602C22×D4—42no—
603C22×D4—42no—
604C22×D4—42no—
605C22×D4—42no—
606C22×D4—42no—
607C22×D4—42no—
608C22×D4—42no—
609C22×D4—42no—
610C22×D4—42no—
611C22×D4—42no—
612C22×D4—42no—
613C22×D4—42no—
614C22×D4—42no—
615C22×D4—42no—
616C22×D4—42no—
617C22×D4—42no—
618C22×D4—42no—
619C22×D4—42no—
620C22×D4—42no—
621C22×D4—42no—
622C22×D4—42no—
623C22×D4—42no—
624C22×D4—42no—
625C22×D4—42no—
626C22×D4—42no—
627C22×D4—42no—
628C22×D4—42no—
629C22×D4—42no—
630C22×D4—42no—
631C22×D4—42no—
632C22×D4—42no—
633C22×D4—42no—
634C22×D4—42no—
635C22×D4—42no—
636C22×D4—42no—
637C22×D4—42no—
638C22×D4—42no—
639C22×D4—42no—
640C22×D4—42no—
641C22×D4—42no—
642C22×D4—42no—
643C22×D4—42no—
644C22×D4—42no—
645C22×D4—42no—
646C22×D4—42no—
647C22×D4—42no—
648C22×D4—42no—
649C22×D4—416no—
650C22×D4—416no—
651C22×D4—416no—
652C22×D4—464no—
653C22×D4C2414yes—
654C22×D4C2414yes—
655C22×D4C2414yes—
656C22×D4C2414yes—
657C22×D4C2414yes—
658C22×D4C2414yes—
659C22×D4C2414yes—
660C22×D4C2414yes—
661C22×D4C2414yes—
662C22×D4C2414yes—
663C22×D4C2414yes—
664C22×D4C2414yes—
665C22×D4C2414yes—
666C22×D4C2414yes—
667C22×D4C2414yes—
668C22×D4C2414yes—
669C22×D4C2414yes—
670C22×D4C2414yes—
671C22×D4C2414yes—
672C22×D4C2414yes—
673C22×D4C2414yes—
674C22×D4C2414yes—
675C23×C4—24no—
676C23×C4—24no—
677C23×C4—24no—
678C23×C4—24no—
679C23×C4—42no—
680C23×C4—42no—
681C23×C4—42no—
682C23×C4—42no—
683C23×C4—42no—
684C23×C4—42no—
685C23×C4—42no—
686C23×C4—42no—
687C23×C4—42no—
688C23×C4—42no—
689C23×C4—42no—
690C23×C4—42no—
691C23×C4—42no—
692C23×C4—42no—
693C23×C4—42no—
694C23×C4—42no—
695C23×C4—42no—
696C23×C4—42no—
697C23×C4—42no—
698C23×C4—42no—
699C23×C4—42no—
700C23×C4—42no—
701C23×C4—42no—
702C23×C4—42no—
703C23×C4—42no—
704C23×C4—42no—
705C23×C4C2411yescharacteristic
706C23×C4C2411yescharacteristic
707C23×C4C2411yescharacteristic
708C23×C4C2411yescharacteristic
709C23×C4C2411yescharacteristic
710C23×C4C2411yescharacteristic
711C23×C4C2411yescharacteristic
712C23×C4C2411yescharacteristic
713C23×C4C2411yescharacteristic
714C23×C4C2411yescharacteristic
715C23×C4C2411yescharacteristic
716C23×C4C2411yescharacteristic
717C23×C4C2411yescharacteristic
718C23×C4C2411yescharacteristic
719C23×C4C2411yescharacteristic
720C23×C4C2411yescharacteristic
721C23×C4C2411yescharacteristic
722C23×C4C2411yescharacteristic
723C23×C4C2411yescharacteristic
724C23×C4C2411yescharacteristic
725C23×C4C2411yescharacteristic
726C23×C4C2411yescharacteristic
727C23×C4C2411yescharacteristic
728C23×C4C2414yes—
729C23×C4C2414yes—
730C23×C4C2414yes—
731C23×C4C2414yes—
732C23×C4C2414yes—
733C23×C4C2414yes—
734C23×C4C2414yes—
735C23×C4C2414yes—
736C23×C4C2414yes—
737C23×C4C2414yes—
738#127—416no—
739#123—416no—
740#123—416no—
741#123—416no—
742#123—416no—
743#121—416no—
744#121—416no—
745#121—416no—
746#121—416no—
747#121—416no—
748#121—416no—
749#121—416no—
750#121—416no—
751#121—416no—
752#121—416no—
753#120—416no—
754#120—416no—
755#120—416no—
756#120—416no—
757#120—416no—
758#120—416no—
759C4×D4—416no—
760C4×D4—416no—
761C4×D4—416no—
762C2×C4⋊C4—24no—
763C2×C4⋊C4—42no—
764C2×C4⋊C4—42no—
765C2×C4⋊C4—42no—
766C2×C4⋊C4—42no—
767C2×C4⋊C4—42no—
768C2×C4⋊C4—42no—
769C2×C4⋊C4—42no—
770C2×C4⋊C4—42no—
771C2×C4⋊C4—42no—
772C2×C4⋊C4—42no—
773C2×C4⋊C4—42no—
774C2×C4⋊C4—42no—
775C2×C4⋊C4—42no—
776C2×C4⋊C4—42no—
777C2×C4⋊C4—42no—
778C2×C4⋊C4—42no—
779C2×C4⋊C4—42no—
780C2×C4⋊C4—42no—
781C2×C4⋊C4—42no—
782C2×C4⋊C4—42no—
783C2×C4⋊C4—42no—
784C2×C4⋊C4C2414yes—
785C2×C4⋊C4C2414yes—
786C2×C4⋊C4C2414yes—
787C2×C4⋊C4C2414yes—
788C2×C4⋊C4C2414yes—
789C2×C4⋊C4C2414yes—
790C2×C4⋊C4C2414yes—
791C2×C4⋊C4C2414yes—
792C2×C4⋊C4C2414yes—
793C2×C4⋊C4C2414yes—
794C2×C4⋊C4C2414yes—
795C2×C4⋊C4C2414yes—
796C2×C4⋊C4C2414yes—
797C2×C4⋊C4C2414yes—
798C2×C4⋊C4C2414yes—
799C2×C4⋊C4C2414yes—
800C2×C4⋊C4C2414yes—
801C2×C4⋊C4C2414yes—
802C2×C4⋊C4C2414yes—
803C2×C4⋊C4C2414yes—
804C2×C4⋊C4C2414yes—
805C2×C4⋊C4C2414yes—
806C2×C22⋊C4—24no—
807C2×C22⋊C4—24no—
808C2×C22⋊C4—24no—
809C2×C22⋊C4—24no—
810C2×C22⋊C4—24no—
811C2×C22⋊C4—24no—
812C2×C22⋊C4—24no—
813C2×C22⋊C4—24no—
814C2×C22⋊C4—24no—
815C2×C22⋊C4—24no—
816C2×C22⋊C4—24no—
817C2×C22⋊C4—24no—
818C2×C22⋊C4—24no—
819C2×C22⋊C4—24no—
820C2×C22⋊C4—24no—
821C2×C22⋊C4—416no—
822C2×C22⋊C4—416no—
823C2×C22⋊C4—416no—
824C2×C22⋊C4—42no—
825C2×C22⋊C4—42no—
826C2×C22⋊C4—42no—
827C2×C22⋊C4—42no—
828C2×C22⋊C4—42no—
829C2×C22⋊C4—42no—
830C2×C22⋊C4—42no—
831C2×C22⋊C4—42no—
832C2×C22⋊C4—42no—
833C2×C22⋊C4—42no—
834C2×C22⋊C4—42no—
835C2×C22⋊C4—42no—
836C2×C22⋊C4—42no—
837C2×C22⋊C4—42no—
838C2×C22⋊C4—42no—
839C2×C22⋊C4—42no—
840C2×C22⋊C4—42no—
841C2×C22⋊C4—42no—
842C2×C22⋊C4—42no—
843C2×C22⋊C4—42no—
844C2×C22⋊C4—42no—
845C2×C22⋊C4—42no—
846C2×C22⋊C4—42no—
847C2×C22⋊C4—42no—
848C2×C22⋊C4—42no—
849C2×C22⋊C4—42no—
850C2×C22⋊C4—42no—
851C2×C22⋊C4—42no—
852C2×C22⋊C4—42no—
853C2×C22⋊C4—42no—
854C2×C22⋊C4—42no—
855C2×C22⋊C4—42no—
856C2×C22⋊C4—42no—
857C2×C22⋊C4—42no—
858C2×C22⋊C4—42no—
859C2×C22⋊C4—42no—
860C2×C22⋊C4—42no—
861C2×C22⋊C4—42no—
862C2×C22⋊C4—42no—
863C2×C22⋊C4—42no—
864C2×C22⋊C4—42no—
865C2×C22⋊C4—42no—
866C2×C22⋊C4—42no—
867C2×C22⋊C4—42no—
868C2×C22⋊C4—42no—
869C2×C22⋊C4C2414yes—
870C2×C22⋊C4C2414yes—
871C2×C22⋊C4C2414yes—
872C2×C22⋊C4C2414yes—
873C2×C22⋊C4C2414yes—
874C2×C22⋊C4C2414yes—
875C2×C22⋊C4C2414yes—
876C2×C22⋊C4C2414yes—
877C2×C22⋊C4C2414yes—
878C2×C22⋊C4C2414yes—
879C2×C22⋊C4C2414yes—
880C2×C22⋊C4C2414yes—
881C2×C22⋊C4C2414yes—
882C2×C22⋊C4C2414yes—
883C2×C22⋊C4C2414yes—
884C2×C22⋊C4C2414yes—
885C2×C22⋊C4C2414yes—
886C2×C22⋊C4C2414yes—
887C2×C22⋊C4C2414yes—
888C2×C22⋊C4C2414yes—
889C2×C22⋊C4C2414yes—
890C2×C22⋊C4C2414yes—
891C2×C22⋊C4C2414yes—
892C2×C22⋊C4C2414yes—
893C2×C22⋊C4C2414yes—
894C2×C22⋊C4C2414yes—
895C2×C22⋊C4C2414yes—
896C2×C22⋊C4C2414yes—
897C2×C22⋊C4C2414yes—
898C2×C22⋊C4C2414yes—
899C2×C22⋊C4C2414yes—
900C2×C22⋊C4C2414yes—
901C2×C22⋊C4C2414yes—
902C2×C22⋊C4C2414yes—
903C2×C22⋊C4C2414yes—
904C2×C22⋊C4C2414yes—
905C2×C22⋊C4C2414yes—
906C2×C22⋊C4C2414yes—
907C2×C22⋊C4C2414yes—
908C2×C22⋊C4C2414yes—
909C2×C22⋊C4C2414yes—
910C2×C22⋊C4C2414yes—
911C2×C22⋊C4C2414yes—
912C2×C22⋊C4C2414yes—
913C2×C22⋊C4C2414yes—
914C2×C22⋊C4C2414yes—
915C2×C22⋊C4C2414yes—
916C2×C22⋊C4C2414yes—
917C2×C22⋊C4C2414yes—
918C2×C22⋊C4C2414yes—
919C2×C22⋊C4C2414yes—
920C2×C22⋊C4C2414yes—
921C2×C22⋊C4C2414yes—
922C2×C22⋊C4C2414yes—
923C2×C22⋊C4C2414yes—
924C2×C22⋊C4C2414yes—
925C2×C22⋊C4C2414yes—
926C2×C22⋊C4C2414yes—
927C2×C22⋊C4C2414yes—
928C2×C22⋊C4C2414yes—
929C2×C42—24no—
930C2×C42—42no—
931C2×C42—42no—
932C2×C42C2414yes—
933C2×C42C2414yes—
934C2×C42C2414yes—
935#95C2414yes—
936#95C2414yes—
937#95C2414yes—
938#95C2414yes—
939#95C2414yes—
940#95C2414yes—
941#95C2414yes—
942#95C2414yes—
943#95C2414yes—
944#95C2414yes—
945#95C2414yes—
946#95C2414yes—
947#95C2414yes—
948#95C2414yes—
949#95C2414yes—
950#95C2414yes—
951#95C2414yes—
952#95C2414yes—
953#95C2414yes—
954#95C2414yes—
955#95C2414yes—
956#95C2414yes—
957#95C2414yes—
958#95C2414yes—
959#95C2414yes—
960#95C2414yes—
961#95C2414yes—
962#95C2414yes—
963#95C2414yes—
964#95C2414yes—
965#95C2414yes—
966#95C2414yes—
967#95C2414yes—
968#95C2414yes—
969#95C2414yes—
970#95C2414yes—
971C24—22no—
972C24—22no—
973C24—22no—
974C24—22no—
975C24—22no—
976C24—22no—
977C24—22no—
978C24—22no—
979C24—22no—
980C24—22no—
981C24—22no—
982C24—22no—
983C24—22no—
984C24—22no—
985C24—22no—
986C24—22no—
987C24—22no—
988C24—22no—
989C24—22no—
990C24—22no—
991C24—22no—
992C24—22no—
993C24—22no—
994C24—22no—
995C24—22no—
996C24—22no—
997C24—22no—
998C24—22no—
999C24—22no—
1000C24—22no—
1001C24—22no—
1002C24—22no—
1003C24—22no—
1004C24—22no—
1005C24—22no—
1006C24—22no—
1007C24—22no—
1008C24—22no—
1009C24—22no—
1010C24—22no—
1011C24—22no—
1012C24—22no—
1013C24—22no—
1014C24—22no—
1015C24—22no—
1016C24—22no—
1017C24—22no—
1018C24—22no—
1019C24—22no—
1020C24—22no—
1021C24—22no—
1022C24—22no—
1023C24—28no—
1024C24—28no—
1025C24—28no—
1026C24—28no—
1027C24—28no—
1028C24—44no—
1029C24—44no—
1030C24—44no—
1031C24—44no—
1032C24—44no—
1033C24—44no—
1034C24—44no—
1035C24—44no—
1036C24—44no—
1037C24—416no—
1038C24—416no—
1039C24—416no—
1040C24—416no—
1041C24—416no—
1042C24—88no—
1043C24—88no—
1044C24—88no—
1045C24—88no—
1046C24—88no—
1047C24—88no—
1048C24—88no—
1049C24—88no—
1050C24—88no—
1051C24H(5,𝔽2)14yes—
1052C24H(5,𝔽2)14yes—
1053C24H(5,𝔽2)14yes—
1054C24H(5,𝔽2)14yes—
1055C24C2512yes—
1056C24C2512yes—
1057C24C2512yes—
1058C24C2512yes—
1059C24C2512yes—
1060C24C2512yes—
1061C24C2512yes—
1062C24C2512yes—
1063C24C2511yescharacteristic
1064C2×D4—28no—
1065C2×D4—28no—
1066C2×D4—28no—
1067C2×D4—28no—
1068C2×D4—28no—
1069C2×D4—28no—
1070C2×D4—28no—
1071C2×D4—28no—
1072C2×D4—28no—
1073C2×D4—28no—
1074C2×D4—28no—
1075C2×D4—28no—
1076C2×D4—28no—
1077C2×D4—28no—
1078C2×D4—28no—
1079C2×D4—28no—
1080C2×D4—28no—
1081C2×D4—28no—
1082C2×D4—28no—
1083C2×D4—44no—
1084C2×D4—44no—
1085C2×D4—44no—
1086C2×D4—44no—
1087C2×D4—44no—
1088C2×D4—44no—
1089C2×D4—44no—
1090C2×D4—44no—
1091C2×D4—44no—
1092C2×D4—44no—
1093C2×D4—44no—
1094C2×D4—416no—
1095C2×D4—44no—
1096C2×D4—44no—
1097C2×D4—44no—
1098C2×D4—44no—
1099C2×D4—44no—
1100C2×D4—44no—
1101C2×D4—44no—
1102C2×D4—44no—
1103C2×D4—44no—
1104C2×D4—44no—
1105C2×D4—44no—
1106C2×D4—44no—
1107C2×D4—44no—
1108C2×D4—44no—
1109C2×D4—44no—
1110C2×D4—44no—
1111C2×D4—44no—
1112C2×D4—44no—
1113C2×D4—44no—
1114C2×D4—44no—
1115C2×D4—44no—
1116C2×D4—44no—
1117C2×D4—44no—
1118C2×D4—44no—
1119C2×D4—44no—
1120C2×D4—44no—
1121C2×D4—44no—
1122C2×D4—44no—
1123C2×D4—44no—
1124C2×D4—44no—
1125C2×D4—44no—
1126C2×D4—44no—
1127C2×D4—44no—
1128C2×D4—44no—
1129C2×D4—44no—
1130C2×D4—44no—
1131C2×D4—416no—
1132C2×D4—416no—
1133C2×D4—416no—
1134C2×D4—416no—
1135C2×D4—416no—
1136C2×D4—416no—
1137C2×D4—4128no—
1138C2×D4—88no—
1139C2×D4—88no—
1140C2×D4—88no—
1141C2×D4—88no—
1142C2×D4—88no—
1143C2×D4—88no—
1144C2×D4—88no—
1145C2×D4—88no—
1146C2×D4—88no—
1147C2×D4—88no—
1148C2×D4—88no—
1149C2×D4—88no—
1150C2×D4—88no—
1151C2×D4—88no—
1152C2×D4—88no—
1153C22×C4—22no—
1154C22×C4—22no—
1155C22×C4—22no—
1156C22×C4—22no—
1157C22×C4—22no—
1158C22×C4—22no—
1159C22×C4—22no—
1160C22×C4—22no—
1161C22×C4—22no—
1162C22×C4—22no—
1163C22×C4—22no—
1164C22×C4—22no—
1165C22×C4—22no—
1166C22×C4—22no—
1167C22×C4—22no—
1168C22×C4—22no—
1169C22×C4—22no—
1170C22×C4—22no—
1171C22×C4—22no—
1172C22×C4—22no—
1173C22×C4—22no—
1174C22×C4—22no—
1175C22×C4—22no—
1176C22×C4—22no—
1177C22×C4—22no—
1178C22×C4—22no—
1179C22×C4—22no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—22no—
1183C22×C4—22no—
1184C22×C4—22no—
1185C22×C4—22no—
1186C22×C4—22no—
1187C22×C4—22no—
1188C22×C4—22no—
1189C22×C4—22no—
1190C22×C4—22no—
1191C22×C4—22no—
1192C22×C4—22no—
1193C22×C4—22no—
1194C22×C4—22no—
1195C22×C4—22no—
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—28no—
1222C22×C4—28no—
1223C22×C4—28no—
1224C22×C4—28no—
1225C22×C4—44no—
1226C22×C4—44no—
1227C22×C4—44no—
1228C22×C4—44no—
1229C22×C4—44no—
1230C22×C4—44no—
1231C22×C4—44no—
1232C22×C4—44no—
1233C22×C4—44no—
1234C22×C4—44no—
1235C22×C4—44no—
1236C22×C4—44no—
1237C22×C4—44no—
1238C22×C4—44no—
1239C22×C4—44no—
1240C22×C4—44no—
1241C22×C4—44no—
1242C22×C4—44no—
1243C22×C4—44no—
1244C22×C4—44no—
1245C22×C4—44no—
1246C22×C4—44no—
1247C22×C4—44no—
1248C22×C4—44no—
1249C22×C4—44no—
1250C22×C4—44no—
1251C22×C4—416no—
1252C22×C4—88no—
1253C22×C4—88no—
1254C22×C4—88no—
1255C22×C4—88no—
1256C22×C4—88no—
1257C22×C4—88no—
1258C22×C4—88no—
1259C22×C4—88no—
1260C22×C4—88no—
1261C22×C4H(5,𝔽2)14yes—
1262C22×C4C2512yes—
1263C22×C4C2512yes—
1264C22×C4C2512yes—
1265C22×C4C2512yes—
1266C22×C4C2512yes—
1267C22×C4C2512yes—
1268C22×C4C2512yes—
1269C22×C4C2512yes—
1270C22×C4C2512yes—
1271C22×C4C2512yes—
1272C22×C4C2512yes—
1273C22×C4C2512yes—
1274C22×C4C2512yes—
1275C22×C4C2512yes—
1276C22×C4C2512yes—
1277C22×C4C2512yes—
1278C22×C4C2512yes—
1279C22×C4C2512yes—
1280C22×C4C2512yes—
1281C22×C4C2512yes—
1282C22×C4C2512yes—
1283C22×C4C2512yes—
1284C22×C4C2512yes—
1285C4⋊C4—28no—
1286C4⋊C4—44no—
1287C4⋊C4—44no—
1288C4⋊C4—44no—
1289C4⋊C4—44no—
1290C4⋊C4—44no—
1291C4⋊C4—44no—
1292C4⋊C4—44no—
1293C4⋊C4—44no—
1294C4⋊C4—44no—
1295C4⋊C4—44no—
1296C4⋊C4—44no—
1297C4⋊C4—44no—
1298C4⋊C4—44no—
1299C4⋊C4—44no—
1300C4⋊C4—44no—
1301C4⋊C4—44no—
1302C4⋊C4—44no—
1303C4⋊C4—44no—
1304C4⋊C4—44no—
1305C4⋊C4—44no—
1306C4⋊C4—44no—
1307C22⋊C4—28no—
1308C22⋊C4—28no—
1309C22⋊C4—28no—
1310C22⋊C4—28no—
1311C22⋊C4—28no—
1312C22⋊C4—28no—
1313C22⋊C4—28no—
1314C22⋊C4—28no—
1315C22⋊C4—28no—
1316C22⋊C4—28no—
1317C22⋊C4—28no—
1318C22⋊C4—28no—
1319C22⋊C4—28no—
1320C22⋊C4—28no—
1321C22⋊C4—28no—
1322C22⋊C4—44no—
1323C22⋊C4—44no—
1324C22⋊C4—44no—
1325C22⋊C4—44no—
1326C22⋊C4—44no—
1327C22⋊C4—44no—
1328C22⋊C4—44no—
1329C22⋊C4—44no—
1330C22⋊C4—44no—
1331C22⋊C4—44no—
1332C22⋊C4—44no—
1333C22⋊C4—44no—
1334C22⋊C4—44no—
1335C22⋊C4—44no—
1336C22⋊C4—44no—
1337C22⋊C4—44no—
1338C22⋊C4—44no—
1339C22⋊C4—44no—
1340C22⋊C4—44no—
1341C22⋊C4—44no—
1342C22⋊C4—44no—
1343C22⋊C4—44no—
1344C22⋊C4—44no—
1345C22⋊C4—44no—
1346C22⋊C4—44no—
1347C22⋊C4—44no—
1348C22⋊C4—44no—
1349C22⋊C4—44no—
1350C22⋊C4—44no—
1351C22⋊C4—44no—
1352C22⋊C4—44no—
1353C22⋊C4—44no—
1354C22⋊C4—44no—
1355C22⋊C4—44no—
1356C22⋊C4—44no—
1357C22⋊C4—44no—
1358C22⋊C4—44no—
1359C22⋊C4—44no—
1360C22⋊C4—44no—
1361C22⋊C4—44no—
1362C22⋊C4—44no—
1363C22⋊C4—44no—
1364C22⋊C4—44no—
1365C22⋊C4—44no—
1366C22⋊C4—44no—
1367C42—28no—
1368C42—44no—
1369C42—44no—
1370C23—22no—
1371C23—22no—
1372C23—22no—
1373C23—22no—
1374C23—22no—
1375C23—22no—
1376C23—22no—
1377C23—22no—
1378C23—22no—
1379C23—22no—
1380C23—22no—
1381C23—22no—
1382C23—22no—
1383C23—22no—
1384C23—22no—
1385C23—22no—
1386C23—22no—
1387C23—22no—
1388C23—22no—
1389C23—22no—
1390C23—22no—
1391C23—22no—
1392C23—22no—
1393C23—22no—
1394C23—28no—
1395C23—28no—
1396C23—28no—
1397C23—28no—
1398C23—28no—
1399C23—28no—
1400C23—28no—
1401C23—28no—
1402C23—28no—
1403C23—28no—
1404C23—28no—
1405C23—28no—
1406C23—22no—
1407C23—22no—
1408C23—22no—
1409C23—22no—
1410C23—22no—
1411C23—22no—
1412C23—22no—
1413C23—22no—
1414C23—22no—
1415C23—22no—
1416C23—22no—
1417C23—22no—
1418C23—22no—
1419C23—22no—
1420C23—22no—
1421C23—22no—
1422C23—22no—
1423C23—22no—
1424C23—22no—
1425C23—22no—
1426C23—22no—
1427C23—22no—
1428C23—22no—
1429C23—22no—
1430C23—22no—
1431C23—22no—
1432C23—22no—
1433C23—22no—
1434C23—416no—
1435C23—416no—
1436C23—416no—
1437C23—416no—
1438C23—416no—
1439C23—44no—
1440C23—44no—
1441C23—44no—
1442C23—44no—
1443C23—44no—
1444C23—44no—
1445C23—44no—
1446C23—44no—
1447C23—44no—
1448C23—44no—
1449C23—44no—
1450C23—44no—
1451C23—44no—
1452C23—44no—
1453C23—44no—
1454C23—44no—
1455C23—44no—
1456C23—44no—
1457C23—44no—
1458C23—44no—
1459C23—44no—
1460C23—44no—
1461C23—44no—
1462C23—44no—
1463C23—44no—
1464C23—44no—
1465C23—44no—
1466C23—44no—
1467C23—44no—
1468C23—44no—
1469C23—44no—
1470C23—44no—
1471C23—44no—
1472C23—44no—
1473C23—44no—
1474C23—44no—
1475C23—44no—
1476C23—44no—
1477C23—44no—
1478C23—44no—
1479C23—44no—
1480C23—44no—
1481C23—44no—
1482C23—44no—
1483C23—88no—
1484C23—88no—
1485C23—88no—
1486C23—88no—
1487C23—88no—
1488C23—88no—
1489C23—88no—
1490C23—88no—
1491C23—864no—
1492C23—88no—
1493C23—864no—
1494C23C2×H(5,𝔽2)14yes—
1495C23C2×H(5,𝔽2)14yes—
1496C23C2×H(5,𝔽2)14yes—
1497C23C2×H(5,𝔽2)14yes—
1498C23C2×H(5,𝔽2)12yes—
1499C23C2×H(5,𝔽2)12yes—
1500C23C2×H(5,𝔽2)12yes—
1501C23C2×H(5,𝔽2)12yes—
1502C23C2×H(5,𝔽2)12yes—
1503C23#58512yes—
1504C23#58512yes—
1505C23C2611yescharacteristic
1506D4—416no—
1507D4—416no—
1508D4—416no—
1509D4—416no—
1510D4—416no—
1511D4—416no—
1512D4—416no—
1513D4—88no—
1514D4—88no—
1515D4—88no—
1516D4—88no—
1517D4—88no—
1518D4—88no—
1519D4—88no—
1520D4—88no—
1521D4—88no—
1522D4—88no—
1523D4—88no—
1524D4—88no—
1525D4—88no—
1526D4—88no—
1527D4—88no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—28no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—416no—
1598C2×C4—44no—
1599C2×C4—44no—
1600C2×C4—44no—
1601C2×C4—44no—
1602C2×C4—44no—
1603C2×C4—44no—
1604C2×C4—44no—
1605C2×C4—44no—
1606C2×C4—44no—
1607C2×C4—44no—
1608C2×C4—44no—
1609C2×C4—44no—
1610C2×C4—44no—
1611C2×C4—44no—
1612C2×C4—44no—
1613C2×C4—44no—
1614C2×C4—44no—
1615C2×C4—44no—
1616C2×C4—44no—
1617C2×C4—44no—
1618C2×C4—44no—
1619C2×C4—44no—
1620C2×C4—88no—
1621C2×C4—88no—
1622C2×C4—88no—
1623C2×C4—88no—
1624C2×C4—88no—
1625C2×C4—88no—
1626C2×C4—88no—
1627C2×C4—88no—
1628C2×C4—88no—
1629C2×C4C2×H(5,𝔽2)14yes—
1630C22—24no—
1631C22—24no—
1632C22—24no—
1633C22—24no—
1634C22—24no—
1635C22—24no—
1636C22—24no—
1637C22—24no—
1638C22—24no—
1639C22—24no—
1640C22—24no—
1641C22—24no—
1642C22—42no—
1643C22—42no—
1644C22—42no—
1645C22—42no—
1646C22—42no—
1647C22—42no—
1648C22—42no—
1649C22—42no—
1650C22—42no—
1651C22—42no—
1652C22—42no—
1653C22—42no—
1654C22—416no—
1655C22—416no—
1656C22—416no—
1657C22—416no—
1658C22—42no—
1659C22—42no—
1660C22—42no—
1661C22—42no—
1662C22—42no—
1663C22—42no—
1664C22—42no—
1665C22—42no—
1666C22—42no—
1667C22—42no—
1668C22—42no—
1669C22—42no—
1670C22—42no—
1671C22—42no—
1672C22—42no—
1673C22—42no—
1674C22—42no—
1675C22—42no—
1676C22—42no—
1677C22—42no—
1678C22—42no—
1679C22—42no—
1680C22—42no—
1681C22—42no—
1682C22—42no—
1683C22—42no—
1684C22—42no—
1685C22—42no—
1686C22—42no—
1687C22—42no—
1688C22—42no—
1689C22—42no—
1690C22—832no—
1691C22—832no—
1692C22—88no—
1693C22—88no—
1694C22—88no—
1695C22—88no—
1696C22#353214yes—
1697C22#353314yes—
1698C22#353414yes—
1699C22#353414yes—
1700C22#353414yes—
1701C22#353714yes—
1702C22#354214yes—
1703C22C22×H(5,𝔽2)11yescharacteristic
1704C22C22×H(5,𝔽2)11yescharacteristic
1705C22C22×H(5,𝔽2)11yescharacteristic
1706C22C22×H(5,𝔽2)11yescharacteristic
1707C22C22×H(5,𝔽2)11yescharacteristic
1708C22C2×#58511yescharacteristic
1709C22C2×#58511yescharacteristic
1710C4—24no—
1711C4—42no—
1712C4—42no—
1713C4—42no—
1714C4—42no—
1715C4—42no—
1716C4—42no—
1717C4—42no—
1718C4—42no—
1719C4—42no—
1720C4—42no—
1721C4—42no—
1722C4—42no—
1723C4—42no—
1724C4—42no—
1725C4—42no—
1726C4—42no—
1727C4—42no—
1728C4—42no—
1729C4—42no—
1730C4—42no—
1731C4—42no—
1732C4—42no—
1733C2—44no—
1734C2—44no—
1735C2—44no—
1736C2—44no—
1737C2—82no—
1738C2—82no—
1739C2—82no—
1740C2—82no—
1741C2#5718718yesdirect product factor
1742C2C2×#353211yescharacteristic
1743C2C2×#354211yescharacteristic
1744C2C2×#353411yescharacteristic
1745C2C2×#353411yescharacteristic
1746C2C2×#353411yescharacteristic
1747C2C2×#353711yescharacteristic
1748C2C2×#353311yescharacteristic
subgroupG/H
center, socleC24C25
commutator, Frattini, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #57187C2direct (N × H)
2. C2×#2782C2semidirect
3. C2×#2781C2semidirect
4. C2×#2750C2semidirect
5. C2×#2746C2semidirect
6. C2×#2746C2semidirect
7. C2×#2741C2semidirect
8. C2×#2709C2semidirect
9. C2×#2703C2semidirect
10. C2×#2697C2semidirect
11. C2×#2688C2semidirect
12. C2×#2688C2semidirect
13. C2×#2671C2semidirect
14. C2×#2671C2semidirect
15. C2×#2671C2semidirect
16. C2×#2669C2semidirect
17. C2×#2669C2semidirect
18. C2×#2825C2semidirect
19. C2×#2827C2semidirect
20. C2×#2813C2semidirect
21. C2×#2535C2semidirect
22. C2×#2534C2semidirect
23. C2×#2412C2semidirect
24. C2×#2456C2semidirect
25. C2×#2418C2semidirect
26. C2×#2418C2semidirect
27. C2×#2410C2semidirect
28. C2×#2410C2semidirect
29. C2×#2410C2semidirect
30. C2×#2635C2semidirect
31. C2×#2635C2semidirect
32. C2×#2622C2semidirect
36. C22×#123C22semidirect
37. C22×#123C22semidirect
38. C22×#123C22semidirect
45. C22×#121C22semidirect
46. C22×#121C22semidirect
47. C22×#121C22semidirect
48. C22×#121C22semidirect
55. C22×C4×D4C22semidirect
56. C22×C4×D4C22semidirect
57. C22×C4×D4C22semidirect
61. #2827C22semidirect
62. #2825C22semidirect
63. #2813C22semidirect
64. #2782C22semidirect
65. #2781C22semidirect
66. #2750C22semidirect
67. #2746C22semidirect
68. #2746C22semidirect
69. #2741C22semidirect
70. #2709C22semidirect
71. #2703C22semidirect
72. #2697C22semidirect
73. #2688C22semidirect
74. #2688C22semidirect
75. #2671C22semidirect
76. #2671C22semidirect
77. #2671C22semidirect
78. #2669C22semidirect
79. #2669C22semidirect
80. #2635C22semidirect
81. #2635C22semidirect
82. #2622C22semidirect
83. #2535C22semidirect
84. #2534C22semidirect
85. #2456C22semidirect
86. #2418C22semidirect
87. #2418C22semidirect
88. #2412C22semidirect
89. #2410C22semidirect
90. #2410C22semidirect
91. #2410C22semidirect
92. C2×#401C22semidirect
93. C2×#400C22semidirect
94. C2×#400C22semidirect
95. C2×#400C22semidirect
96. C2×#400C22semidirect
97. C2×#400C22semidirect
98. C2×#400C22semidirect
99. C2×#399C22semidirect
100. C2×#399C22semidirect
101. C2×#399C22semidirect
102. C2×#399C22semidirect
103. C2×#398C22semidirect
104. C2×#398C22semidirect
105. C2×#398C22semidirect
109. C2×#397C22semidirect
110. C2×#397C22semidirect
111. C2×#397C22semidirect
112. C2×#397C22semidirect
113. C2×#397C22semidirect
114. C2×#397C22semidirect
115. C2×#397C22semidirect
117. C2×#396C22semidirect
118. C2×#396C22semidirect
119. C2×#396C22semidirect
132. C2×#394C22semidirect
133. C2×#394C22semidirect
134. C2×#394C22semidirect
135. C2×#394C22semidirect
136. C2×#394C22semidirect
137. C2×#394C22semidirect
138. C2×#394C22semidirect
139. C2×#394C22semidirect
140. C2×#394C22semidirect
141. C2×#394C22semidirect
148. C2×#392C22semidirect
149. C2×#392C22semidirect
150. C2×#392C22semidirect
151. C2×#392C22semidirect
152. C2×#392C22semidirect
153. C2×#392C22semidirect
154. C2×#392C22semidirect
155. C2×#392C22semidirect
156. C2×#390C22semidirect
159. C2×#388C22semidirect
160. C2×#388C22semidirect
161. C2×#388C22semidirect
162. C2×#388C22semidirect
163. C2×#388C22semidirect
164. C2×#388C22semidirect
165. C2×#388C22semidirect
166. C2×#388C22semidirect
167. C2×#388C22semidirect
168. C2×#388C22semidirect
169. C2×#387C22semidirect
170. C2×#387C22semidirect
171. C2×#387C22semidirect
183. C2×#386C22semidirect
184. C2×#386C22semidirect
185. C2×#386C22semidirect
186. C2×#386C22semidirect
187. C2×#386C22semidirect
188. C2×#386C22semidirect
189. C2×#386C22semidirect
190. C2×#386C22semidirect
191. C2×#386C22semidirect
192. C2×#386C22semidirect
193. C2×#386C22semidirect
194. C2×#386C22semidirect
195. C2×#386C22semidirect
199. C2×#385C22semidirect
200. C2×#385C22semidirect
201. C2×#385C22semidirect
202. C2×#385C22semidirect
203. C2×#385C22semidirect
204. C2×#385C22semidirect
205. C2×#385C22semidirect
206. C2×#382C22semidirect
207. C2×#381C22semidirect
208. C2×#381C22semidirect
209. C2×#381C22semidirect
210. C2×#380C22semidirect
211. C2×#380C22semidirect
212. C2×#380C22semidirect
213. C2×#380C22semidirect
214. C2×#380C22semidirect
215. C2×#380C22semidirect
264. C2×#123C23semidirect
265. C2×#123C23semidirect
266. C2×#123C23semidirect
283. C2×#121C23semidirect
284. C2×#121C23semidirect
285. C2×#121C23semidirect
286. C2×#121C23semidirect
302. C2×C4×D4C23semidirect
303. C2×C4×D4C23semidirect
304. C2×C4×D4C23semidirect
396. #401C23semidirect
397. #400C23semidirect
398. #400C23semidirect
399. #400C23semidirect
400. #400C23semidirect
401. #400C23semidirect
402. #400C23semidirect
403. #399C23semidirect
404. #399C23semidirect
405. #399C23semidirect
406. #399C23semidirect
407. #398C23semidirect
408. #398C23semidirect
409. #398C23semidirect
413. #397C23semidirect
414. #397C23semidirect
415. #397C23semidirect
416. #397C23semidirect
417. #397C23semidirect
418. #397C23semidirect
419. #397C23semidirect
421. #396C23semidirect
422. #396C23semidirect
423. #396C23semidirect
436. #394C23semidirect
437. #394C23semidirect
438. #394C23semidirect
439. #394C23semidirect
440. #394C23semidirect
441. #394C23semidirect
442. #394C23semidirect
443. #394C23semidirect
444. #394C23semidirect
445. #394C23semidirect
452. #392C23semidirect
453. #392C23semidirect
454. #392C23semidirect
455. #392C23semidirect
456. #392C23semidirect
457. #392C23semidirect
458. #392C23semidirect
459. #392C23semidirect
460. #390C23semidirect
463. #388C23semidirect
464. #388C23semidirect
465. #388C23semidirect
466. #388C23semidirect
467. #388C23semidirect
468. #388C23semidirect
469. #388C23semidirect
470. #388C23semidirect
471. #388C23semidirect
472. #388C23semidirect
473. #387C23semidirect
474. #387C23semidirect
475. #387C23semidirect
487. #386C23semidirect
488. #386C23semidirect
489. #386C23semidirect
490. #386C23semidirect
491. #386C23semidirect
492. #386C23semidirect
493. #386C23semidirect
494. #386C23semidirect
495. #386C23semidirect
496. #386C23semidirect
497. #386C23semidirect
498. #386C23semidirect
499. #386C23semidirect
503. #385C23semidirect
504. #385C23semidirect
505. #385C23semidirect
506. #385C23semidirect
507. #385C23semidirect
508. #385C23semidirect
509. #385C23semidirect
510. #382C23semidirect
511. #381C23semidirect
512. #381C23semidirect
513. #381C23semidirect
514. #380C23semidirect
515. #380C23semidirect
516. #380C23semidirect
517. #380C23semidirect
518. #380C23semidirect
519. #380C23semidirect
1741. C2#57187direct (N × H)

Maximal subgroups

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

subgroupindex
#571872
C2×#27822
C2×#27812
C2×#27502
C2×#27462
C2×#27412
C2×#27092
C2×#27032
C2×#26972
C2×#26882
C2×#26712
C2×#26692
C2×#28252
C2×#28272
C2×#28132
C2×#25352
C2×#25342
C2×#24122
C2×#24562
C2×#24182
C2×#24102
C2×#26352
C2×#26222