Finite Group Databasebeta

← C2×#38510 #7635956

Subgroups — C2×#38510 #7635956

Order 512.

8718 conjugacy classes of subgroups.

The subgroup lattice has 1788 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2780C211yesmaximal, characteristic, complemented
2C2×#2756C211yesmaximal, characteristic, complemented
3C2×#2753C211yesmaximal, characteristic, complemented
4C2×#2749C211yesmaximal, characteristic, complemented
5C2×#2709C211yesmaximal, characteristic, complemented
6C2×#2688C211yesmaximal, characteristic, complemented
7C2×#2688C211yesmaximal, characteristic, complemented
8C2×#2673C211yesmaximal, characteristic, complemented
9#38510C2132yesmaximal, direct product factor
10C2×#2847C211yesmaximal, characteristic, complemented
11C2×#2543C211yesmaximal, characteristic, complemented
12C2×#2531C211yesmaximal, characteristic, complemented
13C2×#2505C211yesmaximal, characteristic, complemented
14C2×#2457C211yesmaximal, characteristic, complemented
15C2×#2428C211yesmaximal, characteristic, complemented
16C2×#2464C211yesmaximal, characteristic, complemented
17C2×#2433C211yesmaximal, characteristic, complemented
18C2×#2444C211yesmaximal, characteristic, complemented
19C2×#2412C211yesmaximal, characteristic, complemented
20C2×#2424C211yesmaximal, characteristic, complemented
21C2×#2424C211yesmaximal, characteristic, complemented
22C2×#2424C211yesmaximal, characteristic, complemented
23C2×#2418C211yesmaximal, characteristic, complemented
24C2×#2410C211yesmaximal, characteristic, complemented
25C2×#2648C211yesmaximal, characteristic, complemented
26C2×#2635C211yesmaximal, characteristic, complemented
27C2×#2358C211yesmaximal, characteristic, complemented
28C2×#2353C211yesmaximal, characteristic, complemented
29C2×#2333C211yesmaximal, characteristic, complemented
30C2×#2328C211yesmaximal, characteristic, complemented
31C2×C4×#120C211yesmaximal, characteristic, complemented
32C22×#386C211yesmaximal, characteristic, complemented
33C24×D4C2211yescharacteristic
34C25×C4C2211yescharacteristic
35C22×#127C2211yescharacteristic
36C22×#127C2211yescharacteristic
37C22×#123C2211yescharacteristic, complemented
38C22×#123C2211yescharacteristic, complemented
39C22×#121C2211yescharacteristic
40C22×#121C2211yescharacteristic
41C22×#121C2211yescharacteristic
42C22×#121C2211yescharacteristic
43C22×#121C2211yescharacteristic
44C22×#121C2211yescharacteristic, complemented
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
56C22×C4×D4C2211yescharacteristic
57C22×C4×D4C2211yescharacteristic
58C22×C4×D4C2211yescharacteristic, complemented
59C22×C4×D4C2211yescharacteristic, complemented
60C22×C4×D4C2211yescharacteristic, complemented
61C23×C22⋊C4C2211yescharacteristic
62C23×C22⋊C4C2211yescharacteristic
63C23×C22⋊C4C2211yescharacteristic
64C23×C22⋊C4C2211yescharacteristic
65#2847C22116yescomplemented
66#2780C22116yescomplemented
67#2756C22116yescomplemented
68#2753C22116yescomplemented
69#2749C22116yescomplemented
70#2709C22116yescomplemented
71#2688C22116yescomplemented
72#2688C22116yescomplemented
73#2673C22116yescomplemented
74#2648C22116yescomplemented
75#2635C22116yescomplemented
76#2543C22116yescomplemented
77#2531C22116yescomplemented
78#2505C22116yescomplemented
79#2464C22116yescomplemented
80#2457C22116yescomplemented
81#2444C22116yescomplemented
82#2433C22116yescomplemented
83#2428C22116yescomplemented
84#2424C22116yescomplemented
85#2424C22116yescomplemented
86#2424C22116yescomplemented
87#2418C22116yescomplemented
88#2412C22116yescomplemented
89#2410C22116yescomplemented
90C2×#400C2211yescharacteristic, complemented
91C2×#400C2211yescharacteristic, complemented
92C2×#400C2211yescharacteristic, complemented
93C2×#400C2211yescharacteristic, complemented
94C2×#399C2211yescharacteristic, complemented
95C2×#398C2211yescharacteristic, complemented
96C2×#398C2211yescharacteristic, complemented
97C2×#397C2211yescharacteristic, complemented
98C2×#397C2211yescharacteristic, complemented
99C2×#397C2211yescharacteristic, complemented
100C2×#397C2211yescharacteristic, complemented
101C2×#397C2211yescharacteristic, complemented
102C2×#397C2211yescharacteristic, complemented
103C2×#396C2211yescharacteristic, complemented
104C2×#396C2211yescharacteristic, complemented
105C2×#396C2211yescharacteristic, complemented
106C2×#394C2211yescharacteristic
107C2×#394C2211yescharacteristic
108C2×#394C2211yescharacteristic, complemented
109C2×#394C2211yescharacteristic, complemented
110C2×#394C2211yescharacteristic, complemented
111C2×#394C2211yescharacteristic, complemented
112C2×#394C2211yescharacteristic, complemented
113C2×#394C2211yescharacteristic, complemented
114C2×#394C2211yescharacteristic, complemented
115C2×#394C2211yescharacteristic, complemented
116C2×#394C2211yescharacteristic, complemented
117C2×#394C2211yescharacteristic, complemented
118C2×#394C2211yescharacteristic, complemented
119C2×#394C2211yescharacteristic, complemented
120C2×#392C2211yescharacteristic
121C2×#392C2211yescharacteristic
122C2×#392C2211yescharacteristic
123C2×#392C2211yescharacteristic
124C2×#392C2211yescharacteristic
125C2×#392C2211yescharacteristic
126C2×#392C2211yescharacteristic, complemented
127C2×#392C2211yescharacteristic, complemented
128C2×#392C2211yescharacteristic, complemented
129C2×#392C2211yescharacteristic, complemented
130#2358C22116yescomplemented
131#2353C22116yescomplemented
132#2333C22116yescomplemented
133#2328C22116yescomplemented
134C4×#120C22116yescomplemented
135C2×#390C2211yescharacteristic
136C2×#390C2211yescharacteristic
137C2×#390C2211yescharacteristic, complemented
138C2×#390C2211yescharacteristic, complemented
139C2×#390C2211yescharacteristic, complemented
140C2×#390C2211yescharacteristic, complemented
141C2×#389C2211yescharacteristic, complemented
142C2×#388C2211yescharacteristic, complemented
143C2×#388C2211yescharacteristic, complemented
144C2×#388C2211yescharacteristic, complemented
145C2×#388C2211yescharacteristic, complemented
146C2×#388C2211yescharacteristic, complemented
147C2×#388C2211yescharacteristic, complemented
148C2×#388C2211yescharacteristic, complemented
149C2×#388C2211yescharacteristic, complemented
150C2×#388C2211yescharacteristic, complemented
151C2×#388C2211yescharacteristic, complemented
152C2×#388C2211yescharacteristic, complemented
153C2×#388C2211yescharacteristic, complemented
154C2×#387C2211yescharacteristic, complemented
155C2×#387C2211yescharacteristic, complemented
156C2×#387C2211yescharacteristic, complemented
157C2×#387C2211yescharacteristic, complemented
158C2×#387C2211yescharacteristic, complemented
159C2×#386C2211yescharacteristic
160C2×#386C2211yescharacteristic
161C2×#386C2211yescharacteristic
162C2×#386C2211yescharacteristic
163C2×#386C2211yescharacteristic
164C2×#386C2211yescharacteristic
165C2×#386C2211yescharacteristic
166C2×#386C2211yescharacteristic
167C2×#386C2211yescharacteristic
168C2×#386C2211yescharacteristic
169C2×#386C2211yescharacteristic
170C2×#386C2211yescharacteristic
171C2×#386C2211yescharacteristic
172C2×#386C2211yescharacteristic
173C2×#386C2211yescharacteristic
174C2×#386C2211yescharacteristic
175C2×#386C22116yescomplemented
176C2×#386C2211yescharacteristic, complemented
177C2×#386C2211yescharacteristic, complemented
178C2×#386C2211yescharacteristic, complemented
179C2×#386C2211yescharacteristic, complemented
180C2×#386C2211yescharacteristic, complemented
181C2×#386C2211yescharacteristic, complemented
182C2×#386C2211yescharacteristic, complemented
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×#385C2211yescharacteristic
193C2×#385C2211yescharacteristic
194C2×#385C2211yescharacteristic
195C2×#385C2211yescharacteristic
196C2×#385C2211yescharacteristic, complemented
197C2×#385C2211yescharacteristic, complemented
198C2×#385C2211yescharacteristic, complemented
199C2×#385C2211yescharacteristic, complemented
200C2×#383C2211yescharacteristic, complemented
201C2×#382C2211yescharacteristic, complemented
202C2×#381C2211yescharacteristic, complemented
203C2×#381C2211yescharacteristic, complemented
204C2×#381C2211yescharacteristic, complemented
205C2×#380C2211yescharacteristic
206C2×#380C2211yescharacteristic
207C2×#380C2211yescharacteristic, complemented
208C2×#380C2211yescharacteristic, complemented
209C2×#379C2211yescharacteristic
210C2×C4×C22⋊C4C2211yescharacteristic
211C2×C4×C22⋊C4C2211yescharacteristic
212C2×C4×C22⋊C4C2211yescharacteristic, complemented
213C2×C4×C22⋊C4C2211yescharacteristic, complemented
214C2×C4×C22⋊C4C2211yescharacteristic, complemented
215C2×C4×C22⋊C4C2211yescharacteristic, complemented
216C2×#376C2211yescharacteristic, complemented
217C22×#95C2211yescharacteristic
218C22×#95C2211yescharacteristic
219C26C2311yescharacteristic
220C26C2311yescharacteristic
221C23×D4—28no—
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×D4C2318yes—
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
247C24×C4—44no—
248C24×C4—44no—
249C24×C4—44no—
250C24×C4C2311yescharacteristic
251C24×C4C2311yescharacteristic
252C24×C4C2311yescharacteristic
253C24×C4C2311yescharacteristic
254C24×C4C2311yescharacteristic
255C24×C4C2311yescharacteristic
256C24×C4C2311yescharacteristic
257C24×C4C2311yescharacteristic
258C24×C4C2311yescharacteristic
259C24×C4C2311yescharacteristic
260C24×C4C2311yescharacteristic
261C24×C4C2318yes—
262C24×C4C2311yescharacteristic
263C24×C4C2311yescharacteristic
264C24×C4C2311yescharacteristic
265C2×#127—28no—
266C2×#127—44no—
267C2×#127C2318yes—
268C2×#127C2318yes—
269C2×#123—44no—
270C2×#123—44no—
271C2×#123C2318yescomplemented
272C2×#123C2318yescomplemented
273C2×#121—28no—
274C2×#121—44no—
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×#121C2318yes—
284C2×#121C2318yes—
285C2×#121C2318yes—
286C2×#121C2318yes—
287C2×#121C2318yes—
288C2×#121C2318yescomplemented
289C2×#121C2318yescomplemented
290C2×#121C2318yescomplemented
291C2×#121C2318yescomplemented
292C2×#121C2318yescomplemented
293C2×#120—28no—
294C2×#120—28no—
295C2×#120—44no—
296C2×#120—44no—
297C2×#120—44no—
298C2×#120—44no—
299C2×#120C2318yes—
300C2×#120C2318yes—
301C2×#120C2318yes—
302C2×#120C2318yes—
303C2×#120C2318yes—
304C2×#120C2318yes—
305C2×C4×D4—28no—
306C2×C4×D4—44no—
307C2×C4×D4—44no—
308C2×C4×D4—44no—
309C2×C4×D4—44no—
310C2×C4×D4—44no—
311C2×C4×D4C2318yes—
312C2×C4×D4C2318yes—
313C2×C4×D4C2318yes—
314C2×C4×D4C2318yescomplemented
315C2×C4×D4C2318yescomplemented
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⋊C4—44no—
338C22×C22⋊C4—44no—
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⋊C4C2311yescharacteristic
356C22×C22⋊C4C2311yescharacteristic
357C22×C22⋊C4C2311yescharacteristic
358C22×C22⋊C4C2311yescharacteristic
359C22×C22⋊C4C2311yescharacteristic
360C22×C22⋊C4C2318yes—
361C22×C22⋊C4C2318yes—
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⋊C4C2318yes—
395C22×C22⋊C4C2318yes—
396C22×C22⋊C4C2311yescharacteristic
397C22×C22⋊C4C2311yescharacteristic
398C22×C22⋊C4C2311yescharacteristic
399C22×C42C2311yescharacteristic
400C22×C42C2311yescharacteristic
401C22×C42C2311yescharacteristic
402C22×C42C2311yescharacteristic
403C22×C42C2311yescharacteristic
404C22×C42C2311yescharacteristic
405C22×C42C2311yescharacteristic
406#400C2318yescomplemented
407#400C2318yescomplemented
408#400C2318yescomplemented
409#400C2318yescomplemented
410#399C2318yescomplemented
411#398C2318yescomplemented
412#398C2318yescomplemented
413#397C2318yescomplemented
414#397C2318yescomplemented
415#397C2318yescomplemented
416#397C2318yescomplemented
417#397C2318yescomplemented
418#397C2318yescomplemented
419#396C2318yescomplemented
420#396C2318yescomplemented
421#396C2318yescomplemented
422#394C2318yes—
423#394C2318yes—
424#394C2318yescomplemented
425#394C2318yescomplemented
426#394C2318yescomplemented
427#394C2318yescomplemented
428#394C2318yescomplemented
429#394C2318yescomplemented
430#394C2318yescomplemented
431#394C2318yescomplemented
432#394C2318yescomplemented
433#394C2318yescomplemented
434#394C2318yescomplemented
435#394C2318yescomplemented
436#392C2318yes—
437#392C2318yes—
438#392C2318yes—
439#392C2318yes—
440#392C2318yes—
441#392C2318yes—
442#392C2318yescomplemented
443#392C2318yescomplemented
444#392C2318yescomplemented
445#392C2318yescomplemented
446#390C2318yes—
447#390C2318yes—
448#390C2318yescomplemented
449#390C2318yescomplemented
450#390C2318yescomplemented
451#390C2318yescomplemented
452#389C2318yescomplemented
453#388C2318yescomplemented
454#388C2318yescomplemented
455#388C2318yescomplemented
456#388C2318yescomplemented
457#388C2318yescomplemented
458#388C2318yescomplemented
459#388C2318yescomplemented
460#388C2318yescomplemented
461#388C2318yescomplemented
462#388C2318yescomplemented
463#388C2318yescomplemented
464#388C2318yescomplemented
465#387C2318yescomplemented
466#387C2318yescomplemented
467#387C2318yescomplemented
468#387C2318yescomplemented
469#387C2318yescomplemented
470#386C2318yes—
471#386C2318yes—
472#386C2318yes—
473#386C2318yes—
474#386C2318yes—
475#386C2318yes—
476#386C2318yes—
477#386C2318yes—
478#386C2318yes—
479#386C2318yes—
480#386C2318yes—
481#386C2318yes—
482#386C2318yes—
483#386C2318yes—
484#386C2318yes—
485#386C2318yes—
486#386C2318yescomplemented
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#386C2318yescomplemented
501#386C2318yescomplemented
502#385C2318yes—
503#385C2318yes—
504#385C2318yes—
505#385C2318yes—
506#385C2318yescomplemented
507#385C2318yescomplemented
508#385C2318yescomplemented
509#385C2318yescomplemented
510#383C2318yescomplemented
511#382C2318yescomplemented
512#381C2318yescomplemented
513#381C2318yescomplemented
514#381C2318yescomplemented
515#380C2318yes—
516#380C2318yes—
517#380C2318yescomplemented
518#380C2318yescomplemented
519#379C2318yes—
520C4×C22⋊C4C2318yes—
521C4×C22⋊C4C2318yes—
522C4×C22⋊C4C2318yescomplemented
523C4×C22⋊C4C2318yescomplemented
524C4×C22⋊C4C2318yescomplemented
525C4×C22⋊C4C2318yescomplemented
526#376C2318yescomplemented
527C2×#95C2318yes—
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×#95C2318yes—
558C2×#95C2311yescharacteristic
559C2×#95C2311yescharacteristic
560C2×#95C2311yescharacteristic
561C2×#95C2311yescharacteristic
562C2×#95C2311yescharacteristic
563C2×#95C2311yescharacteristic
564C2×#95C2311yescharacteristic
565C25—24no—
566C25—24no—
567C25—24no—
568C25—24no—
569C25—24no—
570C25—24no—
571C25—24no—
572C25—24no—
573C25—24no—
574C25—42no—
575C25—42no—
576C25—42no—
577C25—42no—
578C25—42no—
579C25C2411yescharacteristic
580C25C2411yescharacteristic
581C25C2411yescharacteristic
582C25C2411yescharacteristic
583C25C2411yescharacteristic
584C25C2411yescharacteristic
585C25C2411yescharacteristic
586C25C2414yes—
587C25C2414yes—
588C25C2411yescharacteristic
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—24no—
611C22×D4—232no—
612C22×D4—24no—
613C22×D4—24no—
614C22×D4—24no—
615C22×D4—24no—
616C22×D4—24no—
617C22×D4—24no—
618C22×D4—24no—
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—416no—
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—416no—
657C22×D4—464no—
658C22×D4#4118yes—
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—
675C22×D4C2414yes—
676C22×D4C2414yes—
677C22×D4C2414yes—
678C22×D4C2414yes—
679C22×D4C2414yes—
680C22×D4C2414yes—
681C23×C4—24no—
682C23×C4—24no—
683C23×C4—24no—
684C23×C4—24no—
685C23×C4—24no—
686C23×C4—24no—
687C23×C4—24no—
688C23×C4—24no—
689C23×C4—24no—
690C23×C4—24no—
691C23×C4—24no—
692C23×C4—24no—
693C23×C4—24no—
694C23×C4—24no—
695C23×C4—24no—
696C23×C4—416no—
697C23×C4—416no—
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—416no—
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×C4—42no—
720C23×C4—42no—
721C23×C4—42no—
722C23×C4—42no—
723C23×C4—42no—
724C23×C4—42no—
725C23×C4—42no—
726C23×C4—464no—
727C23×C4C2411yescharacteristic
728C23×C4C2411yescharacteristic
729C23×C4C2411yescharacteristic
730C23×C4C2411yescharacteristic
731C23×C4C2411yescharacteristic
732C23×C4C2411yescharacteristic
733C23×C4C2411yescharacteristic
734C23×C4C2411yescharacteristic
735C23×C4C2411yescharacteristic
736C23×C4C2411yescharacteristic
737C23×C4C2411yescharacteristic
738C23×C4C2411yescharacteristic
739C23×C4C2411yescharacteristic
740C23×C4C2411yescharacteristic
741C23×C4C2411yescharacteristic
742C23×C4C2411yescharacteristic
743C23×C4C2411yescharacteristic
744C23×C4C2411yescharacteristic
745C23×C4C2414yes—
746C23×C4C2414yes—
747C23×C4C2414yes—
748C23×C4C2414yes—
749C23×C4C2411yescharacteristic
750C23×C4C2411yescharacteristic
751C23×C4C2411yescharacteristic
752C23×C4C2411yescharacteristic
753C23×C4C2411yescharacteristic
754C23×C4C2414yes—
755C23×C4C2414yes—
756C23×C4C2414yes—
757C23×C4C2414yes—
758C23×C4C2414yes—
759C23×C4C2414yes—
760C23×C4C2414yes—
761C23×C4C2414yes—
762C23×C4C2414yes—
763C23×C4C2414yes—
764#127—232no—
765#127—416no—
766#123—416no—
767#123—416no—
768#121—232no—
769#121—416no—
770#121—416no—
771#121—416no—
772#121—416no—
773#121—416no—
774#121—416no—
775#121—416no—
776#121—416no—
777#121—416no—
778#120—232no—
779#120—232no—
780#120—416no—
781#120—416no—
782#120—416no—
783#120—416no—
784C4×D4—232no—
785C4×D4—416no—
786C4×D4—416no—
787C4×D4—416no—
788C4×D4—416no—
789C4×D4—416no—
790C2×C4⋊C4—24no—
791C2×C4⋊C4—24no—
792C2×C4⋊C4—24no—
793C2×C4⋊C4—24no—
794C2×C4⋊C4—42no—
795C2×C4⋊C4—42no—
796C2×C4⋊C4—42no—
797C2×C4⋊C4—42no—
798C2×C4⋊C4—42no—
799C2×C4⋊C4—42no—
800C2×C4⋊C4—42no—
801C2×C4⋊C4—42no—
802C2×C4⋊C4—42no—
803C2×C4⋊C4—42no—
804C2×C4⋊C4—42no—
805C2×C4⋊C4—42no—
806C2×C4⋊C4—42no—
807C2×C4⋊C4—42no—
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×C4⋊C4C2414yes—
818C2×C4⋊C4C2414yes—
819C2×C4⋊C4C2414yes—
820C2×C4⋊C4C2414yes—
821C2×C4⋊C4C2414yes—
822C2×C4⋊C4C2414yes—
823C2×C4⋊C4C2414yes—
824C2×C4⋊C4C2414yes—
825C2×C4⋊C4C2414yes—
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—24no—
836C2×C22⋊C4—24no—
837C2×C22⋊C4—24no—
838C2×C22⋊C4—24no—
839C2×C22⋊C4—24no—
840C2×C22⋊C4—24no—
841C2×C22⋊C4—24no—
842C2×C22⋊C4—24no—
843C2×C22⋊C4—24no—
844C2×C22⋊C4—24no—
845C2×C22⋊C4—24no—
846C2×C22⋊C4—24no—
847C2×C22⋊C4—416no—
848C2×C22⋊C4—416no—
849C2×C22⋊C4—416no—
850C2×C22⋊C4—416no—
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⋊C4—42no—
876C2×C22⋊C4—42no—
877C2×C22⋊C4—42no—
878C2×C22⋊C4—42no—
879C2×C22⋊C4—42no—
880C2×C22⋊C4—42no—
881C2×C22⋊C4—42no—
882C2×C22⋊C4—42no—
883C2×C22⋊C4—42no—
884C2×C22⋊C4—42no—
885C2×C22⋊C4#4118yes—
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×C22⋊C4C2414yes—
932C2×C22⋊C4C2414yes—
933C2×C22⋊C4C2414yes—
934C2×C22⋊C4C2414yes—
935C2×C22⋊C4C2414yes—
936C2×C22⋊C4C2414yes—
937C2×C22⋊C4C2414yes—
938C2×C22⋊C4C2414yes—
939C2×C22⋊C4C2414yes—
940C2×C22⋊C4C2414yes—
941C2×C22⋊C4C2414yes—
942C2×C42—24no—
943C2×C42—24no—
944C2×C42—24no—
945C2×C42—42no—
946C2×C42—42no—
947C2×C42—42no—
948C2×C42—42no—
949C2×C42C2414yes—
950C2×C42C2414yes—
951C2×C42C2414yes—
952C2×C42C2414yes—
953C2×C42C2414yes—
954C2×C42C2414yes—
955C2×C42C2414yes—
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—
981#95C2414yes—
982#95C2414yes—
983#95C2414yes—
984#95C2414yes—
985#95C2414yes—
986#95C2414yes—
987#95C2414yes—
988#95C2414yes—
989#95C2414yes—
990#95C2414yes—
991#95C2414yes—
992C24—22no—
993C24—22no—
994C24—22no—
995C24—22no—
996C24—232no—
997C24—22no—
998C24—22no—
999C24—22no—
1000C24—28no—
1001C24—22no—
1002C24—22no—
1003C24—22no—
1004C24—28no—
1005C24—22no—
1006C24—22no—
1007C24—22no—
1008C24—22no—
1009C24—22no—
1010C24—22no—
1011C24—22no—
1012C24—22no—
1013C24—22no—
1014C24—28no—
1015C24—22no—
1016C24—22no—
1017C24—22no—
1018C24—22no—
1019C24—22no—
1020C24—22no—
1021C24—28no—
1022C24—22no—
1023C24—22no—
1024C24—22no—
1025C24—22no—
1026C24—28no—
1027C24—22no—
1028C24—22no—
1029C24—22no—
1030C24—22no—
1031C24—22no—
1032C24—22no—
1033C24—22no—
1034C24—22no—
1035C24—22no—
1036C24—22no—
1037C24—22no—
1038C24—22no—
1039C24—22no—
1040C24—22no—
1041C24—22no—
1042C24—22no—
1043C24—22no—
1044C24—22no—
1045C24—22no—
1046C24—22no—
1047C24—28no—
1048C24—22no—
1049C24—28no—
1050C24—28no—
1051C24—28no—
1052C24—44no—
1053C24—44no—
1054C24—44no—
1055C24—44no—
1056C24—44no—
1057C24—416no—
1058C24—416no—
1059C24—416no—
1060C24—416no—
1061C24—416no—
1062C24—416no—
1063C24—416no—
1064C24—416no—
1065C24—416no—
1066C24—416no—
1067C24—88no—
1068C24—88no—
1069C24—88no—
1070C24C2×#4114yes—
1071C24C2×#4114yes—
1072C24C2×#4114yes—
1073C24H(5,𝔽2)14yes—
1074C24H(5,𝔽2)14yes—
1075C24H(5,𝔽2)14yes—
1076C24C2512yes—
1077C24C2512yes—
1078C24C2512yes—
1079C24C2512yes—
1080C24C2512yes—
1081C24C2512yes—
1082C24C2512yes—
1083C24C2512yes—
1084C24C2511yescharacteristic
1085C2×D4—28no—
1086C2×D4—28no—
1087C2×D4—28no—
1088C2×D4—28no—
1089C2×D4—28no—
1090C2×D4—28no—
1091C2×D4—28no—
1092C2×D4—28no—
1093C2×D4—28no—
1094C2×D4—28no—
1095C2×D4—28no—
1096C2×D4—28no—
1097C2×D4—28no—
1098C2×D4—28no—
1099C2×D4—28no—
1100C2×D4—28no—
1101C2×D4—28no—
1102C2×D4—28no—
1103C2×D4—28no—
1104C2×D4—28no—
1105C2×D4—28no—
1106C2×D4—28no—
1107C2×D4—28no—
1108C2×D4—28no—
1109C2×D4—28no—
1110C2×D4—28no—
1111C2×D4—28no—
1112C2×D4—28no—
1113C2×D4—28no—
1114C2×D4—44no—
1115C2×D4—44no—
1116C2×D4—44no—
1117C2×D4—416no—
1118C2×D4—44no—
1119C2×D4—44no—
1120C2×D4—44no—
1121C2×D4—44no—
1122C2×D4—44no—
1123C2×D4—44no—
1124C2×D4—416no—
1125C2×D4—416no—
1126C2×D4—416no—
1127C2×D4—416no—
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—44no—
1145C2×D4—44no—
1146C2×D4—44no—
1147C2×D4—44no—
1148C2×D4—44no—
1149C2×D4—44no—
1150C2×D4—44no—
1151C2×D4—44no—
1152C2×D4—44no—
1153C2×D4—44no—
1154C2×D4—44no—
1155C2×D4—416no—
1156C2×D4—4128no—
1157C2×D4—416no—
1158C2×D4—416no—
1159C2×D4—416no—
1160C2×D4—416no—
1161C2×D4—88no—
1162C2×D4—88no—
1163C2×D4—88no—
1164C2×D4—88no—
1165C2×D4—88no—
1166C2×D4—88no—
1167C2×D4—88no—
1168C2×D4—88no—
1169C2×D4—88no—
1170C2×D4—88no—
1171C2×D4—88no—
1172C2×D4—88no—
1173C2×D4C2×#41116yes—
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—22no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—22no—
1228C22×C4—22no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—28no—
1239C22×C4—28no—
1240C22×C4—28no—
1241C22×C4—28no—
1242C22×C4—28no—
1243C22×C4—28no—
1244C22×C4—28no—
1245C22×C4—28no—
1246C22×C4—28no—
1247C22×C4—28no—
1248C22×C4—28no—
1249C22×C4—28no—
1250C22×C4—28no—
1251C22×C4—28no—
1252C22×C4—28no—
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—44no—
1263C22×C4—44no—
1264C22×C4—416no—
1265C22×C4—44no—
1266C22×C4—44no—
1267C22×C4—44no—
1268C22×C4—44no—
1269C22×C4—44no—
1270C22×C4—44no—
1271C22×C4—44no—
1272C22×C4—44no—
1273C22×C4—44no—
1274C22×C4—44no—
1275C22×C4—44no—
1276C22×C4—44no—
1277C22×C4—44no—
1278C22×C4—44no—
1279C22×C4—44no—
1280C22×C4—44no—
1281C22×C4—416no—
1282C22×C4—416no—
1283C22×C4—416no—
1284C22×C4—416no—
1285C22×C4—416no—
1286C22×C4—4128no—
1287C22×C4—416no—
1288C22×C4—88no—
1289C22×C4—88no—
1290C22×C4—88no—
1291C22×C4—88no—
1292C22×C4—88no—
1293C22×C4—88no—
1294C22×C4—88no—
1295C22×C4C2×#4114yes—
1296C22×C4C2×#4114yes—
1297C22×C4C2×#4114yes—
1298C22×C4H(5,𝔽2)14yes—
1299C22×C4H(5,𝔽2)14yes—
1300C22×C4C2512yes—
1301C22×C4C2512yes—
1302C22×C4C2512yes—
1303C22×C4C2512yes—
1304C22×C4C2512yes—
1305C22×C4C2512yes—
1306C22×C4C2512yes—
1307C22×C4C2512yes—
1308C22×C4C2512yes—
1309C22×C4C2512yes—
1310C22×C4C2512yes—
1311C22×C4C2512yes—
1312C22×C4C2512yes—
1313C22×C4C2512yes—
1314C22×C4C2512yes—
1315C22×C4C2512yes—
1316C22×C4C2512yes—
1317C22×C4C2512yes—
1318C22×C4C2512yes—
1319C22×C4C2512yes—
1320C22×C4C2512yes—
1321C22×C4C2512yes—
1322C22×C4C2512yes—
1323C4⋊C4—28no—
1324C4⋊C4—28no—
1325C4⋊C4—28no—
1326C4⋊C4—28no—
1327C4⋊C4—44no—
1328C4⋊C4—44no—
1329C4⋊C4—44no—
1330C4⋊C4—44no—
1331C4⋊C4—44no—
1332C4⋊C4—44no—
1333C4⋊C4—44no—
1334C4⋊C4—44no—
1335C4⋊C4—44no—
1336C4⋊C4—44no—
1337C4⋊C4—44no—
1338C4⋊C4—44no—
1339C4⋊C4—44no—
1340C4⋊C4—44no—
1341C22⋊C4—28no—
1342C22⋊C4—28no—
1343C22⋊C4—28no—
1344C22⋊C4—28no—
1345C22⋊C4—28no—
1346C22⋊C4—28no—
1347C22⋊C4—28no—
1348C22⋊C4—28no—
1349C22⋊C4—28no—
1350C22⋊C4—28no—
1351C22⋊C4—28no—
1352C22⋊C4—28no—
1353C22⋊C4—28no—
1354C22⋊C4—28no—
1355C22⋊C4—28no—
1356C22⋊C4—28no—
1357C22⋊C4—28no—
1358C22⋊C4—28no—
1359C22⋊C4—28no—
1360C22⋊C4—28no—
1361C22⋊C4—28no—
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—
1375C22⋊C4—44no—
1376C22⋊C4—44no—
1377C22⋊C4—44no—
1378C22⋊C4—44no—
1379C22⋊C4—44no—
1380C22⋊C4—44no—
1381C22⋊C4—44no—
1382C22⋊C4—44no—
1383C22⋊C4—44no—
1384C22⋊C4—44no—
1385C22⋊C4—44no—
1386C22⋊C4—44no—
1387C22⋊C4—44no—
1388C22⋊C4—44no—
1389C22⋊C4—44no—
1390C22⋊C4—44no—
1391C22⋊C4—44no—
1392C22⋊C4—44no—
1393C22⋊C4—44no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C22⋊C4C2×#41116yes—
1397C42—28no—
1398C42—28no—
1399C42—28no—
1400C42—44no—
1401C42—44no—
1402C42—44no—
1403C42—44no—
1404C23—22no—
1405C23—22no—
1406C23—22no—
1407C23—22no—
1408C23—28no—
1409C23—28no—
1410C23—28no—
1411C23—28no—
1412C23—28no—
1413C23—28no—
1414C23—232no—
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—28no—
1434C23—28no—
1435C23—28no—
1436C23—28no—
1437C23—28no—
1438C23—28no—
1439C23—28no—
1440C23—28no—
1441C23—28no—
1442C23—22no—
1443C23—22no—
1444C23—22no—
1445C23—22no—
1446C23—22no—
1447C23—22no—
1448C23—22no—
1449C23—22no—
1450C23—22no—
1451C23—22no—
1452C23—22no—
1453C23—22no—
1454C23—22no—
1455C23—22no—
1456C23—22no—
1457C23—22no—
1458C23—22no—
1459C23—22no—
1460C23—22no—
1461C23—22no—
1462C23—22no—
1463C23—22no—
1464C23—22no—
1465C23—22no—
1466C23—22no—
1467C23—22no—
1468C23—22no—
1469C23—22no—
1470C23—416no—
1471C23—416no—
1472C23—416no—
1473C23—416no—
1474C23—416no—
1475C23—416no—
1476C23—416no—
1477C23—416no—
1478C23—4128no—
1479C23—416no—
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—44no—
1494C23—44no—
1495C23—416no—
1496C23—44no—
1497C23—44no—
1498C23—44no—
1499C23—44no—
1500C23—44no—
1501C23—44no—
1502C23—44no—
1503C23—44no—
1504C23—44no—
1505C23—44no—
1506C23—44no—
1507C23—44no—
1508C23—44no—
1509C23—44no—
1510C23—44no—
1511C23—44no—
1512C23—44no—
1513C23—44no—
1514C23—44no—
1515C23—44no—
1516C23—44no—
1517C23—44no—
1518C23—44no—
1519C23—44no—
1520C23—44no—
1521C23—88no—
1522C23—88no—
1523C23—88no—
1524C23—864no—
1525C23#540116yes—
1526C23C22×#4114yes—
1527C23C22×#4114yes—
1528C23C22×#4114yes—
1529C23C22×#4112yes—
1530C23C22×#4112yes—
1531C23C2×H(5,𝔽2)14yes—
1532C23C2×H(5,𝔽2)14yes—
1533C23C2×H(5,𝔽2)14yes—
1534C23C2×H(5,𝔽2)12yes—
1535C23C2×H(5,𝔽2)12yes—
1536C23C2×H(5,𝔽2)12yes—
1537C23C2×H(5,𝔽2)12yes—
1538C23C2×H(5,𝔽2)12yes—
1539C23C2611yescharacteristic
1540D4—416no—
1541D4—416no—
1542D4—416no—
1543D4—416no—
1544D4—416no—
1545D4—416no—
1546D4—416no—
1547D4—416no—
1548D4—416no—
1549D4—416no—
1550D4—88no—
1551D4—88no—
1552D4—88no—
1553D4—88no—
1554D4—88no—
1555D4—88no—
1556D4—88no—
1557D4—88no—
1558D4—88no—
1559D4—88no—
1560D4—88no—
1561D4—88no—
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—28no—
1573C2×C4—28no—
1574C2×C4—28no—
1575C2×C4—28no—
1576C2×C4—28no—
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—22no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—22no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—416no—
1632C2×C4—416no—
1633C2×C4—416no—
1634C2×C4—416no—
1635C2×C4—416no—
1636C2×C4—416no—
1637C2×C4—416no—
1638C2×C4—44no—
1639C2×C4—44no—
1640C2×C4—44no—
1641C2×C4—44no—
1642C2×C4—44no—
1643C2×C4—44no—
1644C2×C4—44no—
1645C2×C4—44no—
1646C2×C4—44no—
1647C2×C4—44no—
1648C2×C4—44no—
1649C2×C4—44no—
1650C2×C4—44no—
1651C2×C4—44no—
1652C2×C4—44no—
1653C2×C4—44no—
1654C2×C4—44no—
1655C2×C4—44no—
1656C2×C4—88no—
1657C2×C4—88no—
1658C2×C4—88no—
1659C2×C4—88no—
1660C2×C4—88no—
1661C2×C4—88no—
1662C2×C4—88no—
1663C2×C4C22×#4114yes—
1664C2×C4C22×#4114yes—
1665C2×C4C22×#4114yes—
1666C2×C4C2×H(5,𝔽2)14yes—
1667C2×C4C2×H(5,𝔽2)14yes—
1668C22—24no—
1669C22—24no—
1670C22—24no—
1671C22—24no—
1672C22—232no—
1673C22—24no—
1674C22—24no—
1675C22—24no—
1676C22—24no—
1677C22—24no—
1678C22—24no—
1679C22—24no—
1680C22—24no—
1681C22—24no—
1682C22—24no—
1683C22—24no—
1684C22—464no—
1685C22—42no—
1686C22—42no—
1687C22—42no—
1688C22—42no—
1689C22—42no—
1690C22—416no—
1691C22—416no—
1692C22—416no—
1693C22—42no—
1694C22—42no—
1695C22—42no—
1696C22—42no—
1697C22—42no—
1698C22—42no—
1699C22—42no—
1700C22—42no—
1701C22—42no—
1702C22—42no—
1703C22—42no—
1704C22—42no—
1705C22—42no—
1706C22—42no—
1707C22—42no—
1708C22—42no—
1709C22—42no—
1710C22—42no—
1711C22—42no—
1712C22—42no—
1713C22—42no—
1714C22—42no—
1715C22—42no—
1716C22—42no—
1717C22—42no—
1718C22—42no—
1719C22—42no—
1720C22—42no—
1721C22—42no—
1722C22—42no—
1723C22—42no—
1724C22—42no—
1725C22—42no—
1726C22—42no—
1727C22—42no—
1728C22—832no—
1729C22—88no—
1730C22—88no—
1731C22—88no—
1732C22—88no—
1733C22C2×#54018yes—
1734C22C2×#54014yes—
1735C22#348114yes—
1736C22#349014yes—
1737C22#351914yes—
1738C22#351914yes—
1739C22#353214yes—
1740C22#353714yes—
1741C22C23×#4111yescharacteristic
1742C22C23×#4111yescharacteristic
1743C22C22×H(5,𝔽2)11yescharacteristic
1744C22C22×H(5,𝔽2)11yescharacteristic
1745C22C22×H(5,𝔽2)11yescharacteristic
1746C22C22×H(5,𝔽2)11yescharacteristic
1747C22C22×H(5,𝔽2)11yescharacteristic
1748C4—24no—
1749C4—24no—
1750C4—24no—
1751C4—24no—
1752C4—24no—
1753C4—42no—
1754C4—42no—
1755C4—42no—
1756C4—42no—
1757C4—42no—
1758C4—42no—
1759C4—42no—
1760C4—42no—
1761C4—42no—
1762C4—42no—
1763C4—42no—
1764C4—42no—
1765C4—42no—
1766C4—42no—
1767C4—42no—
1768C4—42no—
1769C4—42no—
1770C4—42no—
1771C2—28no—
1772C2—44no—
1773C2—44no—
1774C2—44no—
1775C2—82no—
1776C2—82no—
1777C2—82no—
1778C2—82no—
1779C2#3851018yesdirect product factor
1780C2C22×#54011yescharacteristic
1781C2C2×#348111yescharacteristic
1782C2C2×#353211yescharacteristic
1783C2C2×#353711yescharacteristic
1784C2C2×#349011yescharacteristic
1785C2C2×#351911yescharacteristic
1786C2C2×#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×#2780C2semidirect
2. C2×#2756C2semidirect
3. C2×#2753C2semidirect
4. C2×#2749C2semidirect
5. C2×#2709C2semidirect
6. C2×#2688C2semidirect
7. C2×#2688C2semidirect
8. C2×#2673C2semidirect
9. #38510C2direct (N × H)
10. C2×#2847C2semidirect
11. C2×#2543C2semidirect
12. C2×#2531C2semidirect
13. C2×#2505C2semidirect
14. C2×#2457C2semidirect
15. C2×#2428C2semidirect
16. C2×#2464C2semidirect
17. C2×#2433C2semidirect
18. C2×#2444C2semidirect
19. C2×#2412C2semidirect
20. C2×#2424C2semidirect
21. C2×#2424C2semidirect
22. C2×#2424C2semidirect
23. C2×#2418C2semidirect
24. C2×#2410C2semidirect
25. C2×#2648C2semidirect
26. C2×#2635C2semidirect
27. C2×#2358C2semidirect
28. C2×#2353C2semidirect
29. C2×#2333C2semidirect
30. C2×#2328C2semidirect
31. C2×C4×#120C2semidirect
32. C22×#386C2semidirect
37. C22×#123C22semidirect
38. C22×#123C22semidirect
44. C22×#121C22semidirect
45. C22×#121C22semidirect
46. C22×#121C22semidirect
47. C22×#121C22semidirect
48. C22×#121C22semidirect
58. C22×C4×D4C22semidirect
59. C22×C4×D4C22semidirect
60. C22×C4×D4C22semidirect
65. #2847C22semidirect
66. #2780C22semidirect
67. #2756C22semidirect
68. #2753C22semidirect
69. #2749C22semidirect
70. #2709C22semidirect
71. #2688C22semidirect
72. #2688C22semidirect
73. #2673C22semidirect
74. #2648C22semidirect
75. #2635C22semidirect
76. #2543C22semidirect
77. #2531C22semidirect
78. #2505C22semidirect
79. #2464C22semidirect
80. #2457C22semidirect
81. #2444C22semidirect
82. #2433C22semidirect
83. #2428C22semidirect
84. #2424C22semidirect
85. #2424C22semidirect
86. #2424C22semidirect
87. #2418C22semidirect
88. #2412C22semidirect
89. #2410C22semidirect
90. C2×#400C22semidirect
91. C2×#400C22semidirect
92. C2×#400C22semidirect
93. C2×#400C22semidirect
94. C2×#399C22semidirect
95. C2×#398C22semidirect
96. C2×#398C22semidirect
97. C2×#397C22semidirect
98. C2×#397C22semidirect
99. C2×#397C22semidirect
100. C2×#397C22semidirect
101. C2×#397C22semidirect
102. C2×#397C22semidirect
103. C2×#396C22semidirect
104. C2×#396C22semidirect
105. C2×#396C22semidirect
108. C2×#394C22semidirect
109. C2×#394C22semidirect
110. C2×#394C22semidirect
111. C2×#394C22semidirect
112. C2×#394C22semidirect
113. C2×#394C22semidirect
114. C2×#394C22semidirect
115. C2×#394C22semidirect
116. C2×#394C22semidirect
117. C2×#394C22semidirect
118. C2×#394C22semidirect
119. C2×#394C22semidirect
126. C2×#392C22semidirect
127. C2×#392C22semidirect
128. C2×#392C22semidirect
129. C2×#392C22semidirect
130. #2358C22semidirect
131. #2353C22semidirect
132. #2333C22semidirect
133. #2328C22semidirect
134. C4×#120C22semidirect
137. C2×#390C22semidirect
138. C2×#390C22semidirect
139. C2×#390C22semidirect
140. C2×#390C22semidirect
141. C2×#389C22semidirect
142. C2×#388C22semidirect
143. C2×#388C22semidirect
144. C2×#388C22semidirect
145. C2×#388C22semidirect
146. C2×#388C22semidirect
147. C2×#388C22semidirect
148. C2×#388C22semidirect
149. C2×#388C22semidirect
150. C2×#388C22semidirect
151. C2×#388C22semidirect
152. C2×#388C22semidirect
153. C2×#388C22semidirect
154. C2×#387C22semidirect
155. C2×#387C22semidirect
156. C2×#387C22semidirect
157. C2×#387C22semidirect
158. C2×#387C22semidirect
175. C2×#386C22semidirect
176. C2×#386C22semidirect
177. C2×#386C22semidirect
178. C2×#386C22semidirect
179. C2×#386C22semidirect
180. C2×#386C22semidirect
181. C2×#386C22semidirect
182. C2×#386C22semidirect
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
196. C2×#385C22semidirect
197. C2×#385C22semidirect
198. C2×#385C22semidirect
199. C2×#385C22semidirect
200. C2×#383C22semidirect
201. C2×#382C22semidirect
202. C2×#381C22semidirect
203. C2×#381C22semidirect
204. C2×#381C22semidirect
207. C2×#380C22semidirect
208. C2×#380C22semidirect
212. C2×C4×C22⋊C4C22semidirect
213. C2×C4×C22⋊C4C22semidirect
214. C2×C4×C22⋊C4C22semidirect
215. C2×C4×C22⋊C4C22semidirect
216. C2×#376C22semidirect
271. C2×#123C23semidirect
272. C2×#123C23semidirect
288. C2×#121C23semidirect
289. C2×#121C23semidirect
290. C2×#121C23semidirect
291. C2×#121C23semidirect
292. C2×#121C23semidirect
314. C2×C4×D4C23semidirect
315. C2×C4×D4C23semidirect
316. C2×C4×D4C23semidirect
406. #400C23semidirect
407. #400C23semidirect
408. #400C23semidirect
409. #400C23semidirect
410. #399C23semidirect
411. #398C23semidirect
412. #398C23semidirect
413. #397C23semidirect
414. #397C23semidirect
415. #397C23semidirect
416. #397C23semidirect
417. #397C23semidirect
418. #397C23semidirect
419. #396C23semidirect
420. #396C23semidirect
421. #396C23semidirect
424. #394C23semidirect
425. #394C23semidirect
426. #394C23semidirect
427. #394C23semidirect
428. #394C23semidirect
429. #394C23semidirect
430. #394C23semidirect
431. #394C23semidirect
432. #394C23semidirect
433. #394C23semidirect
434. #394C23semidirect
435. #394C23semidirect
442. #392C23semidirect
443. #392C23semidirect
444. #392C23semidirect
445. #392C23semidirect
448. #390C23semidirect
449. #390C23semidirect
450. #390C23semidirect
451. #390C23semidirect
452. #389C23semidirect
453. #388C23semidirect
454. #388C23semidirect
455. #388C23semidirect
456. #388C23semidirect
457. #388C23semidirect
458. #388C23semidirect
459. #388C23semidirect
460. #388C23semidirect
461. #388C23semidirect
462. #388C23semidirect
463. #388C23semidirect
464. #388C23semidirect
465. #387C23semidirect
466. #387C23semidirect
467. #387C23semidirect
468. #387C23semidirect
469. #387C23semidirect
486. #386C23semidirect
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
500. #386C23semidirect
501. #386C23semidirect
506. #385C23semidirect
507. #385C23semidirect
508. #385C23semidirect
509. #385C23semidirect
510. #383C23semidirect
511. #382C23semidirect
512. #381C23semidirect
513. #381C23semidirect
514. #381C23semidirect
517. #380C23semidirect
518. #380C23semidirect
522. C4×C22⋊C4C23semidirect
523. C4×C22⋊C4C23semidirect
524. C4×C22⋊C4C23semidirect
525. C4×C22⋊C4C23semidirect
526. #376C23semidirect
1779. C2#38510direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#27802
C2×#27562
C2×#27532
C2×#27492
C2×#27092
C2×#26882
C2×#26732
#385102
C2×#28472
C2×#25432
C2×#25312
C2×#25052
C2×#24572
C2×#24282
C2×#24642
C2×#24332
C2×#24442
C2×#24122
C2×#24242
C2×#24182
C2×#24102
C2×#26482
C2×#26352
C2×#23582
C2×#23532
C2×#23332
C2×#23282
C2×C4×#1202
C22×#3862