Finite Group Databasebeta

← C2×#49984 #7705102

Subgroups — C2×#49984 #7705102

Order 512.

7616 conjugacy classes of subgroups.

The subgroup lattice has 1758 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2756C211yesmaximal, characteristic, complemented
2C2×#2753C211yesmaximal, characteristic, complemented
3C2×#2749C211yesmaximal, characteristic, complemented
4C2×#2714C211yesmaximal, characteristic, complemented
5C2×#2708C211yesmaximal, characteristic, complemented
6C2×#2691C211yesmaximal, characteristic, complemented
7C2×#2688C211yesmaximal, characteristic, complemented
8C2×#2688C211yesmaximal, characteristic, complemented
9C2×#2676C211yesmaximal, characteristic, complemented
10C2×#2673C211yesmaximal, characteristic, complemented
11C2×#2669C211yesmaximal, characteristic, complemented
12C2×#2669C211yesmaximal, characteristic, complemented
13#49984C2132yesmaximal, direct product factor
14C2×#2541C211yesmaximal, characteristic, complemented
15C2×#2603C211yesmaximal, characteristic, complemented
16C2×#2543C211yesmaximal, characteristic, complemented
17C2×#2543C211yesmaximal, characteristic, complemented
18C2×#2532C211yesmaximal, characteristic, complemented
19C2×#2515C211yesmaximal, characteristic, complemented
20C2×#2404C211yesmaximal, characteristic, complemented
21C2×#2431C211yesmaximal, characteristic, complemented
22C2×#2407C211yesmaximal, characteristic, complemented
23C2×#2450C211yesmaximal, characteristic, complemented
24C2×#2459C211yesmaximal, characteristic, complemented
25C2×#2456C211yesmaximal, characteristic, complemented
26C2×#2424C211yesmaximal, characteristic, complemented
27C2×#2424C211yesmaximal, characteristic, complemented
28C2×#2648C211yesmaximal, characteristic, complemented
29C2×#2617C211yesmaximal, characteristic, complemented
30C2×#2380C211yesmaximal, characteristic, complemented
31C2×#2358C211yesmaximal, characteristic, complemented
32C2×#2328C211yesmaximal, characteristic, complemented
33C23×#41C2211yescharacteristic
34C22×#127C2211yescharacteristic
35C22×#127C2211yescharacteristic
36C22×#127C2211yescharacteristic, complemented
37C22×#126C2211yescharacteristic, complemented
38C22×#124C2211yescharacteristic, complemented
39C22×#123C2211yescharacteristic, complemented
40C22×C22⋊Q8C2211yescharacteristic, complemented
41C22×#121C2211yescharacteristic
42C22×#121C2211yescharacteristic
43C22×#121C2211yescharacteristic
44C22×#121C2211yescharacteristic
45C22×#121C2211yescharacteristic
46C22×#121C2211yescharacteristic
47C22×#121C2211yescharacteristic
48C22×#121C2211yescharacteristic
49C22×#121C2211yescharacteristic
50C22×#121C2211yescharacteristic, complemented
51C22×#121C2211yescharacteristic, complemented
52C22×#120C2211yescharacteristic
53C22×#120C2211yescharacteristic
54C22×#120C2211yescharacteristic
55C22×#120C2211yescharacteristic
56C22×#120C2211yescharacteristic
57C22×C4×D4C2211yescharacteristic
58C22×C4×D4C2211yescharacteristic
59C22×C4×D4C2211yescharacteristic
60C22×C4×D4C2211yescharacteristic
61C22×C4×D4C2211yescharacteristic, complemented
62C23×C22⋊C4C2211yescharacteristic
63C23×C22⋊C4C2211yescharacteristic
64#2756C22116yescomplemented
65#2753C22116yescomplemented
66#2749C22116yescomplemented
67#2714C22116yescomplemented
68#2708C22116yescomplemented
69#2691C22116yescomplemented
70#2688C22116yescomplemented
71#2688C22116yescomplemented
72#2676C22116yescomplemented
73#2673C22116yescomplemented
74#2669C22116yescomplemented
75#2669C22116yescomplemented
76#2648C22116yescomplemented
77#2617C22116yescomplemented
78#2603C22116yescomplemented
79#2543C22116yescomplemented
80#2543C22116yescomplemented
81#2541C22116yescomplemented
82#2532C22116yescomplemented
83#2515C22116yescomplemented
84#2459C22116yescomplemented
85#2456C22116yescomplemented
86#2450C22116yescomplemented
87#2431C22116yescomplemented
88#2424C22116yescomplemented
89#2424C22116yescomplemented
90#2407C22116yescomplemented
91#2404C22116yescomplemented
92C2×#400C2211yescharacteristic, complemented
93C2×#400C2211yescharacteristic, complemented
94C2×#400C2211yescharacteristic, complemented
95C2×#398C2211yescharacteristic, complemented
96C2×#398C2211yescharacteristic, complemented
97C2×#398C2211yescharacteristic, complemented
98C2×#397C2211yescharacteristic
99C2×#397C2211yescharacteristic
100C2×#397C2211yescharacteristic, complemented
101C2×#397C2211yescharacteristic, complemented
102C2×#397C2211yescharacteristic, complemented
103C2×#397C2211yescharacteristic, complemented
104C2×#397C2211yescharacteristic, complemented
105C2×#396C2211yescharacteristic
106C2×#396C2211yescharacteristic
107C2×#396C2211yescharacteristic, complemented
108C2×#394C2211yescharacteristic
109C2×#394C2211yescharacteristic
110C2×#394C2211yescharacteristic
111C2×#394C2211yescharacteristic
112C2×#394C2211yescharacteristic
113C2×#394C2211yescharacteristic
114C2×#394C2211yescharacteristic
115C2×#394C2211yescharacteristic
116C2×#394C2211yescharacteristic
117C2×#394C2211yescharacteristic
118C2×#394C2211yescharacteristic
119C2×#394C2211yescharacteristic
120C2×#394C2211yescharacteristic, complemented
121C2×#394C2211yescharacteristic, complemented
122C2×#393C2211yescharacteristic
123C2×#393C2211yescharacteristic
124C2×#392C2211yescharacteristic
125C2×#392C2211yescharacteristic
126C2×#392C2211yescharacteristic
127C2×#392C2211yescharacteristic
128C2×#392C2211yescharacteristic
129C2×#392C2211yescharacteristic
130C2×#392C2211yescharacteristic
131C2×#392C2211yescharacteristic
132C2×#392C2211yescharacteristic
133C2×#392C2211yescharacteristic
134C2×#392C2211yescharacteristic
135C2×#392C2211yescharacteristic
136C2×#392C2211yescharacteristic
137C2×#392C2211yescharacteristic
138C2×#392C2211yescharacteristic, complemented
139C2×#392C2211yescharacteristic, complemented
140#2380C22116yescomplemented
141#2358C22116yescomplemented
142#2328C22116yescomplemented
143C2×#391C2211yescharacteristic, complemented
144C2×#391C2211yescharacteristic, complemented
145C2×#390C2211yescharacteristic
146C2×#390C2211yescharacteristic
147C2×#390C2211yescharacteristic
148C2×#390C2211yescharacteristic, complemented
149C2×#390C2211yescharacteristic, complemented
150C2×#390C2211yescharacteristic, complemented
151C2×#390C2211yescharacteristic, complemented
152C2×#388C2211yescharacteristic
153C2×#388C2211yescharacteristic
154C2×#388C2211yescharacteristic
155C2×#388C2211yescharacteristic
156C2×#388C2211yescharacteristic
157C2×#388C2211yescharacteristic
158C2×#388C2211yescharacteristic
159C2×#388C2211yescharacteristic
160C2×#388C2211yescharacteristic, complemented
161C2×#388C2211yescharacteristic, complemented
162C2×#388C2211yescharacteristic, complemented
163C2×#388C2211yescharacteristic, complemented
164C2×#388C2211yescharacteristic, complemented
165C2×#387C2211yescharacteristic, complemented
166C2×#387C2211yescharacteristic, complemented
167C2×#387C2211yescharacteristic, complemented
168C2×#387C2211yescharacteristic, complemented
169C2×#386C2211yescharacteristic
170C2×#386C2211yescharacteristic
171C2×#386C2211yescharacteristic
172C2×#386C2211yescharacteristic
173C2×#386C2211yescharacteristic
174C2×#386C2211yescharacteristic
175C2×#386C2211yescharacteristic
176C2×#386C2211yescharacteristic
177C2×#386C2211yescharacteristic
178C2×#386C2211yescharacteristic
179C2×#386C2211yescharacteristic
180C2×#386C2211yescharacteristic
181C2×#386C2211yescharacteristic
182C2×#386C2211yescharacteristic
183C2×#386C2211yescharacteristic
184C2×#386C2211yescharacteristic
185C2×#386C2211yescharacteristic
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×#386C2211yescharacteristic, complemented
197C2×#386C2211yescharacteristic, complemented
198C2×#386C2211yescharacteristic, complemented
199C2×#385C2211yescharacteristic
200C2×#385C2211yescharacteristic
201C2×#385C2211yescharacteristic
202C2×#385C2211yescharacteristic
203C2×#385C2211yescharacteristic, complemented
204C2×#385C2211yescharacteristic, complemented
205C2×#385C2211yescharacteristic, complemented
206C2×#385C2211yescharacteristic, complemented
207C2×#383C2211yescharacteristic, complemented
208C2×#383C2211yescharacteristic, complemented
209C2×#382C2211yescharacteristic, complemented
210C2×#381C2211yescharacteristic
211C2×#381C2211yescharacteristic, complemented
212C2×#380C2211yescharacteristic
213C2×#380C2211yescharacteristic, complemented
214C2×C4×C4⋊C4C2211yescharacteristic, complemented
215C2×C4×C22⋊C4C2211yescharacteristic
216C2×C4×C22⋊C4C2211yescharacteristic
217C2×#376C2211yescharacteristic, complemented
218C22×#95C2211yescharacteristic, complemented
219C26C2311yescharacteristic
220C22×#41—44no—
221C22×#41—44no—
222C22×#41—44no—
223C22×#41C2318yes—
224C23×Q8C2311yescharacteristic
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×D4C2311yescharacteristic
241C23×D4C2311yescharacteristic
242C23×D4C2311yescharacteristic
243C23×D4C2311yescharacteristic
244C23×D4C2311yescharacteristic
245C23×D4C2311yescharacteristic
246C23×D4C2311yescharacteristic
247C23×D4C2311yescharacteristic
248C23×D4C2311yescharacteristic
249C23×D4C2311yescharacteristic
250C24×C4C2311yescharacteristic
251C24×C4C2311yescharacteristic
252C24×C4C2311yescharacteristic
253C24×C4C2311yescharacteristic
254C24×C4C2311yescharacteristic
255C24×C4C2311yescharacteristic
256C24×C4C2311yescharacteristic
257C24×C4C2311yescharacteristic
258C24×C4C2311yescharacteristic
259C24×C4C2311yescharacteristic
260C24×C4C2311yescharacteristic
261C2×#127—28no—
262C2×#127—28no—
263C2×#127—44no—
264C2×#127C2318yes—
265C2×#127C2318yes—
266C2×#127C2318yescomplemented
267C2×#126—44no—
268C2×#126C2318yescomplemented
269C2×#124—44no—
270C2×#124C2318yescomplemented
271C2×#123—44no—
272C2×#123C2318yescomplemented
273C2×C22⋊Q8—44no—
274C2×C22⋊Q8C2318yescomplemented
275C2×#121—44no—
276C2×#121—44no—
277C2×#121—44no—
278C2×#121—44no—
279C2×#121—44no—
280C2×#121—44no—
281C2×#121—44no—
282C2×#121—44no—
283C2×#121—44no—
284C2×#121—44no—
285C2×#121—44no—
286C2×#121C2318yes—
287C2×#121C2318yes—
288C2×#121C2318yes—
289C2×#121C2318yes—
290C2×#121C2318yes—
291C2×#121C2318yes—
292C2×#121C2318yes—
293C2×#121C2318yes—
294C2×#121C2318yes—
295C2×#121C2318yescomplemented
296C2×#121C2318yescomplemented
297C2×#120—28no—
298C2×#120—44no—
299C2×#120—44no—
300C2×#120—44no—
301C2×#120—44no—
302C2×#120C2318yes—
303C2×#120C2318yes—
304C2×#120C2318yes—
305C2×#120C2318yes—
306C2×#120C2318yes—
307C2×C4×D4—44no—
308C2×C4×D4—44no—
309C2×C4×D4—44no—
310C2×C4×D4—44no—
311C2×C4×D4—44no—
312C2×C4×D4C2318yes—
313C2×C4×D4C2318yes—
314C2×C4×D4C2318yes—
315C2×C4×D4C2318yes—
316C2×C4×D4C2318yescomplemented
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×C4⋊C4C2311yescharacteristic
328C22×C4⋊C4C2311yescharacteristic
329C22×C4⋊C4C2311yescharacteristic
330C22×C4⋊C4C2311yescharacteristic
331C22×C4⋊C4C2311yescharacteristic
332C22×C4⋊C4C2311yescharacteristic
333C22×C4⋊C4C2311yescharacteristic
334C22×C4⋊C4C2311yescharacteristic
335C22×C22⋊C4—44no—
336C22×C22⋊C4—44no—
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⋊C4C2311yescharacteristic
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⋊C4C2318yes—
356C22×C22⋊C4C2318yes—
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⋊C4C2311yescharacteristic
392C22×C22⋊C4C2311yescharacteristic
393C22×C22⋊C4C2311yescharacteristic
394C22×C22⋊C4C2311yescharacteristic
395C22×C42C2311yescharacteristic
396C22×C42C2311yescharacteristic
397C22×C42C2311yescharacteristic
398C22×C42C2311yescharacteristic
399C22×C42C2311yescharacteristic
400C22×C42C2311yescharacteristic
401C22×C42C2311yescharacteristic
402#400C2318yescomplemented
403#400C2318yescomplemented
404#400C2318yescomplemented
405#398C2318yescomplemented
406#398C2318yescomplemented
407#398C2318yescomplemented
408#397C2318yes—
409#397C2318yes—
410#397C2318yescomplemented
411#397C2318yescomplemented
412#397C2318yescomplemented
413#397C2318yescomplemented
414#397C2318yescomplemented
415#396C2318yes—
416#396C2318yes—
417#396C2318yescomplemented
418#394C2318yes—
419#394C2318yes—
420#394C2318yes—
421#394C2318yes—
422#394C2318yes—
423#394C2318yes—
424#394C2318yes—
425#394C2318yes—
426#394C2318yes—
427#394C2318yes—
428#394C2318yes—
429#394C2318yes—
430#394C2318yescomplemented
431#394C2318yescomplemented
432#393C2318yes—
433#393C2318yes—
434#392C2318yes—
435#392C2318yes—
436#392C2318yes—
437#392C2318yes—
438#392C2318yes—
439#392C2318yes—
440#392C2318yes—
441#392C2318yes—
442#392C2318yes—
443#392C2318yes—
444#392C2318yes—
445#392C2318yes—
446#392C2318yes—
447#392C2318yes—
448#392C2318yescomplemented
449#392C2318yescomplemented
450#391C2318yescomplemented
451#391C2318yescomplemented
452#390C2318yes—
453#390C2318yes—
454#390C2318yes—
455#390C2318yescomplemented
456#390C2318yescomplemented
457#390C2318yescomplemented
458#390C2318yescomplemented
459#388C2318yes—
460#388C2318yes—
461#388C2318yes—
462#388C2318yes—
463#388C2318yes—
464#388C2318yes—
465#388C2318yes—
466#388C2318yes—
467#388C2318yescomplemented
468#388C2318yescomplemented
469#388C2318yescomplemented
470#388C2318yescomplemented
471#388C2318yescomplemented
472#387C2318yescomplemented
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#386C2318yes—
488#386C2318yes—
489#386C2318yes—
490#386C2318yes—
491#386C2318yes—
492#386C2318yes—
493#386C2318yescomplemented
494#386C2318yescomplemented
495#386C2318yescomplemented
496#386C2318yescomplemented
497#386C2318yescomplemented
498#386C2318yescomplemented
499#386C2318yescomplemented
500#386C2318yescomplemented
501#386C2318yescomplemented
502#386C2318yescomplemented
503#386C2318yescomplemented
504#386C2318yescomplemented
505#386C2318yescomplemented
506#385C2318yes—
507#385C2318yes—
508#385C2318yes—
509#385C2318yes—
510#385C2318yescomplemented
511#385C2318yescomplemented
512#385C2318yescomplemented
513#385C2318yescomplemented
514#383C2318yescomplemented
515#383C2318yescomplemented
516#382C2318yescomplemented
517#381C2318yes—
518#381C2318yescomplemented
519#380C2318yes—
520#380C2318yescomplemented
521C4×C4⋊C4C2318yescomplemented
522C4×C22⋊C4C2318yes—
523C4×C22⋊C4C2318yes—
524#376C2318yescomplemented
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
559C2×#95C2311yescharacteristic
560C2×#95C2311yescharacteristic
561C2×#95C2318yescomplemented
562C25—24no—
563C25—24no—
564C25—42no—
565C25—42no—
566C25—42no—
567C25—42no—
568C25—42no—
569C25C2411yescharacteristic
570C25C2411yescharacteristic
571C25C2411yescharacteristic
572C25C2411yescharacteristic
573C25C2411yescharacteristic
574C25C2411yescharacteristic
575C25C2411yescharacteristic
576C25C2411yescharacteristic
577C25C2414yes—
578C2×#41—416no—
579C2×#41—416no—
580C2×#41—416no—
581C2×#41—464no—
582C22×Q8—24no—
583C22×Q8—24no—
584C22×Q8—42no—
585C22×Q8C2414yes—
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—24no—
603C22×D4—24no—
604C22×D4—24no—
605C22×D4—24no—
606C22×D4—24no—
607C22×D4—24no—
608C22×D4—24no—
609C22×D4—24no—
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—42no—
650C22×D4—42no—
651C22×D4—42no—
652C22×D4—42no—
653C22×D4—42no—
654C22×D4—42no—
655C22×D4—42no—
656C22×D4—42no—
657C22×D4—42no—
658C22×D4—42no—
659C22×D4—42no—
660C22×D4#4118yescomplemented
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—
675C22×D4C2414yes—
676C22×D4C2414yes—
677C22×D4C2414yes—
678C22×D4C2414yes—
679C22×D4C2414yes—
680C22×D4C2414yes—
681C22×D4C2414yes—
682C22×D4C2414yes—
683C22×D4C2414yes—
684C22×D4C2414yes—
685C22×D4C2414yes—
686C23×C4—24no—
687C23×C4—24no—
688C23×C4—24no—
689C23×C4—24no—
690C23×C4—24no—
691C23×C4—24no—
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×C4—42no—
706C23×C4—42no—
707C23×C4—42no—
708C23×C4—42no—
709C23×C4—42no—
710C23×C4—42no—
711C23×C4—42no—
712C23×C4—42no—
713C23×C4—42no—
714C23×C4—42no—
715C23×C4—42no—
716C23×C4—42no—
717C23×C4—42no—
718C23×C4—42no—
719C23×C4C2411yescharacteristic
720C23×C4C2411yescharacteristic
721C23×C4C2411yescharacteristic
722C23×C4C2411yescharacteristic
723C23×C4C2411yescharacteristic
724C23×C4C2411yescharacteristic
725C23×C4C2411yescharacteristic
726C23×C4C2411yescharacteristic
727C23×C4C2411yescharacteristic
728C23×C4C2411yescharacteristic
729C23×C4C2411yescharacteristic
730C23×C4C2411yescharacteristic
731C23×C4C2411yescharacteristic
732C23×C4C2411yescharacteristic
733C23×C4C2411yescharacteristic
734C23×C4C2411yescharacteristic
735C23×C4C2411yescharacteristic
736C23×C4C2411yescharacteristic
737C23×C4C2414yes—
738C23×C4C2411yescharacteristic
739C23×C4C2411yescharacteristic
740C23×C4C2411yescharacteristic
741C23×C4C2411yescharacteristic
742C23×C4C2411yescharacteristic
743C23×C4C2414yes—
744C23×C4C2414yes—
745C23×C4C2414yes—
746C23×C4C2414yes—
747C23×C4C2414yes—
748C23×C4C2414yes—
749C23×C4C2414yes—
750C23×C4C2414yes—
751C23×C4C2414yes—
752C23×C4C2414yes—
753#127—232no—
754#127—232no—
755#127—416no—
756#126—416no—
757#124—416no—
758#123—416no—
759C22⋊Q8—416no—
760#121—416no—
761#121—416no—
762#121—416no—
763#121—416no—
764#121—416no—
765#121—416no—
766#121—416no—
767#121—416no—
768#121—416no—
769#121—416no—
770#121—416no—
771#120—232no—
772#120—416no—
773#120—416no—
774#120—416no—
775#120—416no—
776C4×D4—416no—
777C4×D4—416no—
778C4×D4—416no—
779C4×D4—416no—
780C4×D4—416no—
781C2×C4⋊C4—24no—
782C2×C4⋊C4—24no—
783C2×C4⋊C4—24no—
784C2×C4⋊C4—24no—
785C2×C4⋊C4—24no—
786C2×C4⋊C4—24no—
787C2×C4⋊C4—42no—
788C2×C4⋊C4—42no—
789C2×C4⋊C4—42no—
790C2×C4⋊C4—42no—
791C2×C4⋊C4—42no—
792C2×C4⋊C4—42no—
793C2×C4⋊C4—42no—
794C2×C4⋊C4—42no—
795C2×C4⋊C4—42no—
796C2×C4⋊C4—42no—
797C2×C4⋊C4—42no—
798C2×C4⋊C4—42no—
799C2×C4⋊C4C2414yes—
800C2×C4⋊C4C2414yes—
801C2×C4⋊C4C2414yes—
802C2×C4⋊C4C2414yes—
803C2×C4⋊C4C2414yes—
804C2×C4⋊C4C2414yes—
805C2×C4⋊C4C2414yes—
806C2×C4⋊C4C2414yes—
807C2×C4⋊C4C2414yes—
808C2×C4⋊C4C2414yes—
809C2×C4⋊C4C2414yes—
810C2×C4⋊C4C2414yes—
811C2×C4⋊C4C2414yes—
812C2×C4⋊C4C2414yes—
813C2×C4⋊C4C2414yes—
814C2×C4⋊C4C2414yes—
815C2×C4⋊C4C2414yes—
816C2×C4⋊C4C2414yes—
817C2×C22⋊C4—24no—
818C2×C22⋊C4—24no—
819C2×C22⋊C4—24no—
820C2×C22⋊C4—24no—
821C2×C22⋊C4—24no—
822C2×C22⋊C4—24no—
823C2×C22⋊C4—24no—
824C2×C22⋊C4—24no—
825C2×C22⋊C4—24no—
826C2×C22⋊C4—24no—
827C2×C22⋊C4—24no—
828C2×C22⋊C4—24no—
829C2×C22⋊C4—24no—
830C2×C22⋊C4—24no—
831C2×C22⋊C4—24no—
832C2×C22⋊C4—24no—
833C2×C22⋊C4—24no—
834C2×C22⋊C4—24no—
835C2×C22⋊C4—416no—
836C2×C22⋊C4—416no—
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⋊C4—42no—
870C2×C22⋊C4—42no—
871C2×C22⋊C4—42no—
872C2×C22⋊C4—42no—
873C2×C22⋊C4—42no—
874C2×C22⋊C4—42no—
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×C22⋊C4C2414yes—
930C2×C22⋊C4C2414yes—
931C2×C42—24no—
932C2×C42—24no—
933C2×C42—24no—
934C2×C42—24no—
935C2×C42—24no—
936C2×C42—42no—
937C2×C42—42no—
938C2×C42C2414yes—
939C2×C42C2414yes—
940C2×C42C2414yes—
941C2×C42C2414yes—
942C2×C42C2414yes—
943C2×C42C2414yes—
944C2×C42C2414yes—
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—
971#95C2414yes—
972#95C2414yes—
973#95C2414yes—
974#95C2414yes—
975#95C2414yes—
976#95C2414yes—
977#95C2414yes—
978#95C2414yes—
979#95C2414yes—
980#95C2414yes—
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—22no—
1024C24—22no—
1025C24—22no—
1026C24—22no—
1027C24—22no—
1028C24—22no—
1029C24—22no—
1030C24—22no—
1031C24—22no—
1032C24—22no—
1033C24—22no—
1034C24—28no—
1035C24—28no—
1036C24—44no—
1037C24—44no—
1038C24—44no—
1039C24—44no—
1040C24—44no—
1041C24—416no—
1042C24—416no—
1043C24—88no—
1044C24—88no—
1045C24—88no—
1046C24—88no—
1047C24—88no—
1048C24C2×#4114yes—
1049C24C2×#4114yes—
1050C24H(5,𝔽2)14yes—
1051C24C2512yes—
1052C24C2512yes—
1053C24C2512yes—
1054C24C2512yes—
1055C24C2512yes—
1056C24C2512yes—
1057C24C2512yes—
1058C24C2512yes—
1059C24C2511yescharacteristic
1060#41—4128no—
1061C2×Q8—28no—
1062C2×Q8—28no—
1063C2×Q8—44no—
1064C2×Q8—416no—
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—28no—
1084C2×D4—28no—
1085C2×D4—28no—
1086C2×D4—28no—
1087C2×D4—28no—
1088C2×D4—28no—
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—416no—
1103C2×D4—416no—
1104C2×D4—416no—
1105C2×D4—416no—
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—44no—
1132C2×D4—44no—
1133C2×D4—44no—
1134C2×D4—44no—
1135C2×D4—44no—
1136C2×D4—44no—
1137C2×D4—44no—
1138C2×D4—44no—
1139C2×D4—44no—
1140C2×D4—44no—
1141C2×D4—44no—
1142C2×D4—44no—
1143C2×D4—44no—
1144C2×D4—416no—
1145C2×D4—416no—
1146C2×D4—416no—
1147C2×D4—88no—
1148C2×D4—88no—
1149C2×D4—88no—
1150C2×D4—88no—
1151C2×D4—88no—
1152C2×D4—88no—
1153C2×D4—88no—
1154C2×D4—88no—
1155C2×D4—88no—
1156C2×D4—88no—
1157C2×D4—88no—
1158C2×D4—88no—
1159C2×D4—88no—
1160C2×D4—88no—
1161C2×D4—88no—
1162C2×D4—88no—
1163C2×D4—88no—
1164C2×D4C2×#41116yescomplemented
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—22no—
1222C22×C4—22no—
1223C22×C4—28no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—22no—
1228C22×C4—22no—
1229C22×C4—22no—
1230C22×C4—28no—
1231C22×C4—28no—
1232C22×C4—28no—
1233C22×C4—28no—
1234C22×C4—28no—
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—44no—
1252C22×C4—44no—
1253C22×C4—44no—
1254C22×C4—44no—
1255C22×C4—44no—
1256C22×C4—44no—
1257C22×C4—44no—
1258C22×C4—44no—
1259C22×C4—44no—
1260C22×C4—44no—
1261C22×C4—44no—
1262C22×C4—416no—
1263C22×C4—416no—
1264C22×C4—416no—
1265C22×C4—88no—
1266C22×C4—88no—
1267C22×C4—88no—
1268C22×C4—88no—
1269C22×C4—88no—
1270C22×C4—88no—
1271C22×C4—88no—
1272C22×C4—88no—
1273C22×C4C2×#4114yes—
1274C22×C4H(5,𝔽2)14yes—
1275C22×C4H(5,𝔽2)14yes—
1276C22×C4H(5,𝔽2)14yes—
1277C22×C4H(5,𝔽2)14yes—
1278C22×C4C2512yes—
1279C22×C4C2512yes—
1280C22×C4C2512yes—
1281C22×C4C2512yes—
1282C22×C4C2512yes—
1283C22×C4C2512yes—
1284C22×C4C2512yes—
1285C22×C4C2512yes—
1286C22×C4C2512yes—
1287C22×C4C2512yes—
1288C22×C4C2512yes—
1289C22×C4C2512yes—
1290C22×C4C2512yes—
1291C22×C4C2512yes—
1292C22×C4C2512yes—
1293C22×C4C2512yes—
1294C22×C4C2512yes—
1295C22×C4C2512yes—
1296C22×C4C2512yes—
1297C22×C4C2512yes—
1298C22×C4C2512yes—
1299C22×C4C2512yes—
1300C22×C4C2512yes—
1301C4⋊C4—28no—
1302C4⋊C4—28no—
1303C4⋊C4—28no—
1304C4⋊C4—28no—
1305C4⋊C4—28no—
1306C4⋊C4—28no—
1307C4⋊C4—44no—
1308C4⋊C4—44no—
1309C4⋊C4—44no—
1310C4⋊C4—44no—
1311C4⋊C4—44no—
1312C4⋊C4—44no—
1313C4⋊C4—44no—
1314C4⋊C4—44no—
1315C4⋊C4—44no—
1316C4⋊C4—44no—
1317C4⋊C4—44no—
1318C4⋊C4—44no—
1319C22⋊C4—28no—
1320C22⋊C4—28no—
1321C22⋊C4—28no—
1322C22⋊C4—28no—
1323C22⋊C4—28no—
1324C22⋊C4—28no—
1325C22⋊C4—28no—
1326C22⋊C4—28no—
1327C22⋊C4—28no—
1328C22⋊C4—28no—
1329C22⋊C4—28no—
1330C22⋊C4—28no—
1331C22⋊C4—28no—
1332C22⋊C4—28no—
1333C22⋊C4—28no—
1334C22⋊C4—28no—
1335C22⋊C4—28no—
1336C22⋊C4—28no—
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—
1367C22⋊C4—44no—
1368C22⋊C4—44no—
1369C22⋊C4—44no—
1370C22⋊C4—44no—
1371C22⋊C4—44no—
1372C22⋊C4—44no—
1373C22⋊C4—44no—
1374C22⋊C4—44no—
1375C42—28no—
1376C42—28no—
1377C42—28no—
1378C42—28no—
1379C42—28no—
1380C42—44no—
1381C42—44no—
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—22no—
1395C23—22no—
1396C23—22no—
1397C23—22no—
1398C23—22no—
1399C23—22no—
1400C23—28no—
1401C23—28no—
1402C23—28no—
1403C23—28no—
1404C23—28no—
1405C23—28no—
1406C23—28no—
1407C23—28no—
1408C23—28no—
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—22no—
1435C23—22no—
1436C23—22no—
1437C23—22no—
1438C23—22no—
1439C23—22no—
1440C23—22no—
1441C23—22no—
1442C23—22no—
1443C23—22no—
1444C23—416no—
1445C23—416no—
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—44no—
1484C23—44no—
1485C23—44no—
1486C23—44no—
1487C23—44no—
1488C23—44no—
1489C23—44no—
1490C23—44no—
1491C23—44no—
1492C23—44no—
1493C23—88no—
1494C23—88no—
1495C23—88no—
1496C23—88no—
1497C23—88no—
1498C23—864no—
1499C23C22×#4114yes—
1500C23C22×#4114yes—
1501C23C22×#4112yes—
1502C23C2×H(5,𝔽2)14yes—
1503C23C2×H(5,𝔽2)12yes—
1504C23C2×H(5,𝔽2)12yes—
1505C23C2×H(5,𝔽2)12yes—
1506C23C2×H(5,𝔽2)12yes—
1507C23C2×H(5,𝔽2)12yes—
1508C23#58512yes—
1509C23C2611yescharacteristic
1510Q8—416no—
1511D4—416no—
1512D4—416no—
1513D4—416no—
1514D4—416no—
1515D4—416no—
1516D4—416no—
1517D4—416no—
1518D4—416no—
1519D4—88no—
1520D4—88no—
1521D4—88no—
1522D4—88no—
1523D4—88no—
1524D4—88no—
1525D4—88no—
1526D4—88no—
1527D4—88no—
1528D4—88no—
1529D4—88no—
1530D4—88no—
1531D4—88no—
1532D4—88no—
1533D4—88no—
1534D4—88no—
1535D4—88no—
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—28no—
1547C2×C4—28no—
1548C2×C4—28no—
1549C2×C4—28no—
1550C2×C4—28no—
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—22no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—416no—
1606C2×C4—416no—
1607C2×C4—416no—
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—44no—
1621C2×C4—44no—
1622C2×C4—44no—
1623C2×C4—44no—
1624C2×C4—44no—
1625C2×C4—44no—
1626C2×C4—88no—
1627C2×C4—88no—
1628C2×C4—88no—
1629C2×C4—88no—
1630C2×C4—88no—
1631C2×C4—88no—
1632C2×C4—88no—
1633C2×C4—88no—
1634C2×C4C22×#4114yes—
1635C2×C4C2×H(5,𝔽2)14yes—
1636C2×C4C2×H(5,𝔽2)14yes—
1637C2×C4C2×H(5,𝔽2)14yes—
1638C2×C4C2×H(5,𝔽2)14yes—
1639C22—24no—
1640C22—24no—
1641C22—24no—
1642C22—24no—
1643C22—24no—
1644C22—24no—
1645C22—24no—
1646C22—24no—
1647C22—24no—
1648C22—42no—
1649C22—42no—
1650C22—42no—
1651C22—42no—
1652C22—42no—
1653C22—42no—
1654C22—42no—
1655C22—42no—
1656C22—416no—
1657C22—416no—
1658C22—416no—
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—42no—
1691C22—42no—
1692C22—42no—
1693C22—42no—
1694C22—42no—
1695C22—42no—
1696C22—42no—
1697C22—42no—
1698C22—832no—
1699C22—88no—
1700C22—88no—
1701C22—88no—
1702C22—88no—
1703C22—88no—
1704C22#350514yes—
1705C22#351914yes—
1706C22#351914yes—
1707C22#353214yes—
1708C22#354214yes—
1709C22#354314yes—
1710C22#354614yes—
1711C22C23×#4111yescharacteristic
1712C22C22×H(5,𝔽2)11yescharacteristic
1713C22C22×H(5,𝔽2)11yescharacteristic
1714C22C22×H(5,𝔽2)11yescharacteristic
1715C22C22×H(5,𝔽2)11yescharacteristic
1716C22C22×H(5,𝔽2)11yescharacteristic
1717C22C2×#58511yescharacteristic
1718C4—24no—
1719C4—24no—
1720C4—24no—
1721C4—24no—
1722C4—24no—
1723C4—42no—
1724C4—42no—
1725C4—42no—
1726C4—42no—
1727C4—42no—
1728C4—42no—
1729C4—42no—
1730C4—42no—
1731C4—42no—
1732C4—42no—
1733C4—42no—
1734C4—42no—
1735C4—42no—
1736C4—42no—
1737C4—42no—
1738C4—42no—
1739C4—42no—
1740C4—42no—
1741C2—44no—
1742C2—44no—
1743C2—44no—
1744C2—82no—
1745C2—82no—
1746C2—82no—
1747C2—82no—
1748C2—82no—
1749C2#4998418yesdirect product factor
1750C2C2×#353211yescharacteristic
1751C2C2×#354211yescharacteristic
1752C2C2×#354311yescharacteristic
1753C2C2×#354611yescharacteristic
1754C2C2×#350511yescharacteristic
1755C2C2×#351911yescharacteristic
1756C2C2×#351911yescharacteristic
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. C2×#2756C2semidirect
2. C2×#2753C2semidirect
3. C2×#2749C2semidirect
4. C2×#2714C2semidirect
5. C2×#2708C2semidirect
6. C2×#2691C2semidirect
7. C2×#2688C2semidirect
8. C2×#2688C2semidirect
9. C2×#2676C2semidirect
10. C2×#2673C2semidirect
11. C2×#2669C2semidirect
12. C2×#2669C2semidirect
13. #49984C2direct (N × H)
14. C2×#2541C2semidirect
15. C2×#2603C2semidirect
16. C2×#2543C2semidirect
17. C2×#2543C2semidirect
18. C2×#2532C2semidirect
19. C2×#2515C2semidirect
20. C2×#2404C2semidirect
21. C2×#2431C2semidirect
22. C2×#2407C2semidirect
23. C2×#2450C2semidirect
24. C2×#2459C2semidirect
25. C2×#2456C2semidirect
26. C2×#2424C2semidirect
27. C2×#2424C2semidirect
28. C2×#2648C2semidirect
29. C2×#2617C2semidirect
30. C2×#2380C2semidirect
31. C2×#2358C2semidirect
32. C2×#2328C2semidirect
36. C22×#127C22semidirect
37. C22×#126C22semidirect
38. C22×#124C22semidirect
39. C22×#123C22semidirect
40. C22×C22⋊Q8C22semidirect
50. C22×#121C22semidirect
51. C22×#121C22semidirect
61. C22×C4×D4C22semidirect
64. #2756C22semidirect
65. #2753C22semidirect
66. #2749C22semidirect
67. #2714C22semidirect
68. #2708C22semidirect
69. #2691C22semidirect
70. #2688C22semidirect
71. #2688C22semidirect
72. #2676C22semidirect
73. #2673C22semidirect
74. #2669C22semidirect
75. #2669C22semidirect
76. #2648C22semidirect
77. #2617C22semidirect
78. #2603C22semidirect
79. #2543C22semidirect
80. #2543C22semidirect
81. #2541C22semidirect
82. #2532C22semidirect
83. #2515C22semidirect
84. #2459C22semidirect
85. #2456C22semidirect
86. #2450C22semidirect
87. #2431C22semidirect
88. #2424C22semidirect
89. #2424C22semidirect
90. #2407C22semidirect
91. #2404C22semidirect
92. C2×#400C22semidirect
93. C2×#400C22semidirect
94. C2×#400C22semidirect
95. C2×#398C22semidirect
96. C2×#398C22semidirect
97. C2×#398C22semidirect
100. C2×#397C22semidirect
101. C2×#397C22semidirect
102. C2×#397C22semidirect
103. C2×#397C22semidirect
104. C2×#397C22semidirect
107. C2×#396C22semidirect
120. C2×#394C22semidirect
121. C2×#394C22semidirect
138. C2×#392C22semidirect
139. C2×#392C22semidirect
140. #2380C22semidirect
141. #2358C22semidirect
142. #2328C22semidirect
143. C2×#391C22semidirect
144. C2×#391C22semidirect
148. C2×#390C22semidirect
149. C2×#390C22semidirect
150. C2×#390C22semidirect
151. C2×#390C22semidirect
160. C2×#388C22semidirect
161. C2×#388C22semidirect
162. C2×#388C22semidirect
163. C2×#388C22semidirect
164. C2×#388C22semidirect
165. C2×#387C22semidirect
166. C2×#387C22semidirect
167. C2×#387C22semidirect
168. C2×#387C22semidirect
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
196. C2×#386C22semidirect
197. C2×#386C22semidirect
198. C2×#386C22semidirect
203. C2×#385C22semidirect
204. C2×#385C22semidirect
205. C2×#385C22semidirect
206. C2×#385C22semidirect
207. C2×#383C22semidirect
208. C2×#383C22semidirect
209. C2×#382C22semidirect
211. C2×#381C22semidirect
213. C2×#380C22semidirect
214. C2×C4×C4⋊C4C22semidirect
217. C2×#376C22semidirect
218. C22×#95C22semidirect
266. C2×#127C23semidirect
268. C2×#126C23semidirect
270. C2×#124C23semidirect
272. C2×#123C23semidirect
274. C2×C22⋊Q8C23semidirect
295. C2×#121C23semidirect
296. C2×#121C23semidirect
316. C2×C4×D4C23semidirect
402. #400C23semidirect
403. #400C23semidirect
404. #400C23semidirect
405. #398C23semidirect
406. #398C23semidirect
407. #398C23semidirect
410. #397C23semidirect
411. #397C23semidirect
412. #397C23semidirect
413. #397C23semidirect
414. #397C23semidirect
417. #396C23semidirect
430. #394C23semidirect
431. #394C23semidirect
448. #392C23semidirect
449. #392C23semidirect
450. #391C23semidirect
451. #391C23semidirect
455. #390C23semidirect
456. #390C23semidirect
457. #390C23semidirect
458. #390C23semidirect
467. #388C23semidirect
468. #388C23semidirect
469. #388C23semidirect
470. #388C23semidirect
471. #388C23semidirect
472. #387C23semidirect
473. #387C23semidirect
474. #387C23semidirect
475. #387C23semidirect
493. #386C23semidirect
494. #386C23semidirect
495. #386C23semidirect
496. #386C23semidirect
497. #386C23semidirect
498. #386C23semidirect
499. #386C23semidirect
500. #386C23semidirect
501. #386C23semidirect
502. #386C23semidirect
503. #386C23semidirect
504. #386C23semidirect
505. #386C23semidirect
510. #385C23semidirect
511. #385C23semidirect
512. #385C23semidirect
513. #385C23semidirect
514. #383C23semidirect
515. #383C23semidirect
516. #382C23semidirect
518. #381C23semidirect
520. #380C23semidirect
521. C4×C4⋊C4C23semidirect
524. #376C23semidirect
561. C2×#95C23semidirect
660. C22×D4#41semidirect
1164. C2×D4C2×#41semidirect
1749. C2#49984direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#27562
C2×#27532
C2×#27492
C2×#27142
C2×#27082
C2×#26912
C2×#26882
C2×#26762
C2×#26732
C2×#26692
#499842
C2×#25412
C2×#26032
C2×#25432
C2×#25322
C2×#25152
C2×#24042
C2×#24312
C2×#24072
C2×#24502
C2×#24592
C2×#24562
C2×#24242
C2×#26482
C2×#26172
C2×#23802
C2×#23582
C2×#23282