Finite Group Databasebeta

← C2×#58583 #8104216

Subgroups — C2×#58583 #8104216

Order 512.

6786 conjugacy classes of subgroups.

The subgroup lattice has 1730 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#58583C2132yesmaximal, direct product factor
2C2×#2781C211yesmaximal, characteristic, complemented
3C2×#2775C211yesmaximal, characteristic, complemented
4C2×#2753C211yesmaximal, characteristic, complemented
5C2×#2733C211yesmaximal, characteristic, complemented
6C2×#2718C211yesmaximal, characteristic, complemented
7C2×#2714C211yesmaximal, characteristic, complemented
8C2×#2685C211yesmaximal, characteristic, complemented
9C2×#2678C211yesmaximal, characteristic, complemented
10C2×#2678C211yesmaximal, characteristic, complemented
11C2×#2678C211yesmaximal, characteristic, complemented
12C2×#2676C211yesmaximal, characteristic, complemented
13C2×#2675C211yesmaximal, characteristic, complemented
14C2×#2673C211yesmaximal, characteristic, complemented
15C2×#2670C211yesmaximal, characteristic, complemented
16C2×#2669C211yesmaximal, characteristic, complemented
17C2×#2669C211yesmaximal, characteristic, complemented
18C2×#2818C211yesmaximal, characteristic, complemented
19C2×#2828C211yesmaximal, characteristic, complemented
20C2×#2813C211yesmaximal, characteristic, complemented
21C2×#2601C211yesmaximal, characteristic, complemented
22C2×#2554C211yesmaximal, characteristic, complemented
23C2×#2555C211yesmaximal, characteristic, complemented
24C2×#2500C211yesmaximal, characteristic, complemented
25C2×#2518C211yesmaximal, characteristic, complemented
26C2×#2476C211yesmaximal, characteristic, complemented
27C2×#2414C211yesmaximal, characteristic, complemented
28C2×#2428C211yesmaximal, characteristic, complemented
29C2×#2461C211yesmaximal, characteristic, complemented
30C2×#2620C211yesmaximal, characteristic, complemented
31C2×#2619C211yesmaximal, characteristic, complemented
32C2×#2661C211yesmaximal, characteristic, complemented
33C22×#127C2211yescharacteristic
34C22×#127C2211yescharacteristic
35C22×#126C2211yescharacteristic
36C22×#126C2211yescharacteristic, complemented
37C22×#124C2211yescharacteristic
38C22×#124C2211yescharacteristic
39C22×#124C2211yescharacteristic, complemented
40C22×#123C2211yescharacteristic
41C22×#123C2211yescharacteristic
42C22×#123C2211yescharacteristic
43C22×C22⋊Q8C2211yescharacteristic, complemented
44C22×#121C2211yescharacteristic
45C22×#121C2211yescharacteristic
46C22×#121C2211yescharacteristic
47C22×#121C2211yescharacteristic
48C22×#121C2211yescharacteristic
49C22×#121C2211yescharacteristic
50C22×#121C2211yescharacteristic
51C22×#121C2211yescharacteristic, complemented
52C22×#121C2211yescharacteristic, complemented
53C22×#121C2211yescharacteristic, complemented
54C22×#121C2211yescharacteristic, complemented
55C22×#120C2211yescharacteristic
56C22×#120C2211yescharacteristic
57C22×#120C2211yescharacteristic
58C22×#120C2211yescharacteristic
59C22×#120C2211yescharacteristic
60C22×C4×D4C2211yescharacteristic, complemented
61C22×#117C2211yescharacteristic, complemented
62C22×#117C2211yescharacteristic, complemented
63#2828C22116yescomplemented
64#2818C22116yescomplemented
65#2813C22116yescomplemented
66#2781C22116yescomplemented
67#2775C22116yescomplemented
68#2753C22116yescomplemented
69#2733C22116yescomplemented
70#2718C22116yescomplemented
71#2714C22116yescomplemented
72#2685C22116yescomplemented
73#2678C22116yescomplemented
74#2678C22116yescomplemented
75#2678C22116yescomplemented
76#2676C22116yescomplemented
77#2675C22116yescomplemented
78#2673C22116yescomplemented
79#2670C22116yescomplemented
80#2669C22116yescomplemented
81#2669C22116yescomplemented
82#2661C22116yescomplemented
83#2620C22116yescomplemented
84#2619C22116yescomplemented
85#2601C22116yescomplemented
86#2555C22116yescomplemented
87#2554C22116yescomplemented
88#2518C22116yescomplemented
89#2500C22116yescomplemented
90#2476C22116yescomplemented
91#2461C22116yescomplemented
92#2428C22116yescomplemented
93#2414C22116yescomplemented
94C2×#400C2211yescharacteristic, complemented
95C2×#400C2211yescharacteristic, complemented
96C2×#399C2211yescharacteristic
97C2×#398C2211yescharacteristic, complemented
98C2×#398C2211yescharacteristic, complemented
99C2×#397C2211yescharacteristic
100C2×#397C2211yescharacteristic
101C2×#397C2211yescharacteristic
102C2×#397C2211yescharacteristic, complemented
103C2×#396C2211yescharacteristic
104C2×#396C2211yescharacteristic
105C2×#396C2211yescharacteristic
106C2×#396C2211yescharacteristic
107C2×#396C2211yescharacteristic, complemented
108C2×#396C2211yescharacteristic, complemented
109C2×#396C2211yescharacteristic, complemented
110C2×#395C2211yescharacteristic, complemented
111C2×#394C2211yescharacteristic
112C2×#394C2211yescharacteristic
113C2×#394C2211yescharacteristic
114C2×#394C2211yescharacteristic
115C2×#394C2211yescharacteristic
116C2×#394C2211yescharacteristic
117C2×#394C2211yescharacteristic
118C2×#394C2211yescharacteristic
119C2×#394C2211yescharacteristic
120C2×#394C2211yescharacteristic
121C2×#394C2211yescharacteristic
122C2×#394C2211yescharacteristic
123C2×#394C2211yescharacteristic
124C2×#394C2211yescharacteristic
125C2×#394C2211yescharacteristic
126C2×#394C2211yescharacteristic
127C2×#394C2211yescharacteristic, complemented
128C2×#394C2211yescharacteristic, complemented
129C2×#394C2211yescharacteristic, complemented
130C2×#394C2211yescharacteristic, complemented
131C2×#394C2211yescharacteristic, complemented
132C2×#394C2211yescharacteristic, complemented
133C2×#394C2211yescharacteristic, complemented
134C2×#394C2211yescharacteristic, complemented
135C2×#394C2211yescharacteristic, complemented
136C2×#393C2211yescharacteristic
137C2×#392C2211yescharacteristic
138C2×#392C2211yescharacteristic
139C2×#392C2211yescharacteristic
140C2×#392C2211yescharacteristic
141C2×#392C2211yescharacteristic
142C2×#392C2211yescharacteristic
143C2×#392C2211yescharacteristic
144C2×#392C2211yescharacteristic
145C2×#392C2211yescharacteristic
146C2×#392C2211yescharacteristic
147C2×#392C2211yescharacteristic
148C2×#392C2211yescharacteristic
149C2×#392C2211yescharacteristic
150C2×#392C2211yescharacteristic
151C2×#392C2211yescharacteristic
152C2×#392C2211yescharacteristic
153C2×#392C2211yescharacteristic
154C2×#392C2211yescharacteristic, complemented
155C2×#392C2211yescharacteristic, complemented
156C2×#392C2211yescharacteristic, complemented
157C2×#392C2211yescharacteristic, complemented
158C2×#391C2211yescharacteristic, complemented
159C2×#390C2211yescharacteristic
160C2×#390C2211yescharacteristic
161C2×#390C2211yescharacteristic
162C2×#390C2211yescharacteristic
163C2×#390C2211yescharacteristic
164C2×#390C2211yescharacteristic
165C2×#390C2211yescharacteristic
166C2×#390C2211yescharacteristic
167C2×#390C2211yescharacteristic
168C2×#390C2211yescharacteristic
169C2×#390C2211yescharacteristic, complemented
170C2×#390C2211yescharacteristic, complemented
171C2×#389C2211yescharacteristic, complemented
172C2×#389C2211yescharacteristic, complemented
173C2×#388C2211yescharacteristic
174C2×#388C2211yescharacteristic
175C2×#388C2211yescharacteristic
176C2×#388C2211yescharacteristic
177C2×#388C2211yescharacteristic
178C2×#388C2211yescharacteristic
179C2×#388C2211yescharacteristic
180C2×#388C2211yescharacteristic
181C2×#388C2211yescharacteristic
182C2×#388C2211yescharacteristic
183C2×#388C2211yescharacteristic
184C2×#388C2211yescharacteristic
185C2×#388C2211yescharacteristic, complemented
186C2×#388C2211yescharacteristic, complemented
187C2×#388C2211yescharacteristic, complemented
188C2×#388C2211yescharacteristic, complemented
189C2×#388C2211yescharacteristic, complemented
190C2×#388C2211yescharacteristic, complemented
191C2×#388C2211yescharacteristic, complemented
192C2×#388C2211yescharacteristic, complemented
193C2×#387C2211yescharacteristic, complemented
194C2×#387C2211yescharacteristic, complemented
195C2×#387C2211yescharacteristic, complemented
196C2×#386C2211yescharacteristic
197C2×#386C2211yescharacteristic
198C2×#386C2211yescharacteristic
199C2×#386C2211yescharacteristic
200C2×#386C2211yescharacteristic
201C2×#386C2211yescharacteristic, complemented
202C2×#386C2211yescharacteristic, complemented
203C2×#386C2211yescharacteristic, complemented
204C2×#385C2211yescharacteristic, complemented
205C2×#385C2211yescharacteristic, complemented
206C2×#385C2211yescharacteristic, complemented
207C2×#385C2211yescharacteristic, complemented
208C2×#384C2211yescharacteristic, complemented
209C2×#383C2211yescharacteristic, complemented
210C2×#382C2211yescharacteristic, complemented
211C2×#382C2211yescharacteristic, complemented
212C2×#380C2211yescharacteristic, complemented
213C2×#379C2211yescharacteristic
214C2×#379C2211yescharacteristic
215C2×C4×C4⋊C4C2211yescharacteristic, complemented
216C2×C4×C22⋊C4C2211yescharacteristic, complemented
217C2×C4×C22⋊C4C2211yescharacteristic, complemented
218C2×C4×C22⋊C4C2211yescharacteristic, complemented
219C26C2311yescharacteristic
220C23×Q8C2311yescharacteristic
221C23×D4C2311yescharacteristic
222C23×D4C2311yescharacteristic
223C23×D4C2311yescharacteristic
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×D4C2311yescharacteristic
241C23×D4C2311yescharacteristic
242C23×D4C2311yescharacteristic
243C23×D4C2311yescharacteristic
244C23×D4C2311yescharacteristic
245C23×D4C2311yescharacteristic
246C24×C4C2311yescharacteristic
247C24×C4C2311yescharacteristic
248C24×C4C2311yescharacteristic
249C24×C4C2311yescharacteristic
250C24×C4C2311yescharacteristic
251C2×#127—44no—
252C2×#127—44no—
253C2×#127C2318yes—
254C2×#127C2318yes—
255C2×#126—44no—
256C2×#126—44no—
257C2×#126C2318yes—
258C2×#126C2318yescomplemented
259C2×#124—44no—
260C2×#124—44no—
261C2×#124—44no—
262C2×#124C2318yes—
263C2×#124C2318yes—
264C2×#124C2318yescomplemented
265C2×#123—44no—
266C2×#123—44no—
267C2×#123—44no—
268C2×#123C2318yes—
269C2×#123C2318yes—
270C2×#123C2318yes—
271C2×C22⋊Q8—44no—
272C2×C22⋊Q8C2318yescomplemented
273C2×#121—44no—
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×#121—44no—
284C2×#121C2318yes—
285C2×#121C2318yes—
286C2×#121C2318yes—
287C2×#121C2318yes—
288C2×#121C2318yes—
289C2×#121C2318yes—
290C2×#121C2318yes—
291C2×#121C2318yescomplemented
292C2×#121C2318yescomplemented
293C2×#121C2318yescomplemented
294C2×#121C2318yescomplemented
295C2×#120—44no—
296C2×#120—44no—
297C2×#120—44no—
298C2×#120—44no—
299C2×#120—44no—
300C2×#120C2318yes—
301C2×#120C2318yes—
302C2×#120C2318yes—
303C2×#120C2318yes—
304C2×#120C2318yes—
305C2×C4×D4—44no—
306C2×C4×D4C2318yescomplemented
307C2×#117—44no—
308C2×#117—44no—
309C2×#117C2318yescomplemented
310C2×#117C2318yescomplemented
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×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⋊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⋊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⋊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×C22⋊C4C2311yescharacteristic
396C22×C22⋊C4C2311yescharacteristic
397C22×C42C2311yescharacteristic
398C22×C42C2311yescharacteristic
399C22×C42C2311yescharacteristic
400C22×C42C2311yescharacteristic
401C22×C42C2311yescharacteristic
402C22×C42C2311yescharacteristic
403C22×C42C2311yescharacteristic
404C22×C42C2311yescharacteristic
405C22×C42C2311yescharacteristic
406#400C2318yescomplemented
407#400C2318yescomplemented
408#399C2318yes—
409#398C2318yescomplemented
410#398C2318yescomplemented
411#397C2318yes—
412#397C2318yes—
413#397C2318yes—
414#397C2318yescomplemented
415#396C2318yes—
416#396C2318yes—
417#396C2318yes—
418#396C2318yes—
419#396C2318yescomplemented
420#396C2318yescomplemented
421#396C2318yescomplemented
422#395C2318yescomplemented
423#394C2318yes—
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#394C2318yes—
437#394C2318yes—
438#394C2318yes—
439#394C2318yescomplemented
440#394C2318yescomplemented
441#394C2318yescomplemented
442#394C2318yescomplemented
443#394C2318yescomplemented
444#394C2318yescomplemented
445#394C2318yescomplemented
446#394C2318yescomplemented
447#394C2318yescomplemented
448#393C2318yes—
449#392C2318yes—
450#392C2318yes—
451#392C2318yes—
452#392C2318yes—
453#392C2318yes—
454#392C2318yes—
455#392C2318yes—
456#392C2318yes—
457#392C2318yes—
458#392C2318yes—
459#392C2318yes—
460#392C2318yes—
461#392C2318yes—
462#392C2318yes—
463#392C2318yes—
464#392C2318yes—
465#392C2318yes—
466#392C2318yescomplemented
467#392C2318yescomplemented
468#392C2318yescomplemented
469#392C2318yescomplemented
470#391C2318yescomplemented
471#390C2318yes—
472#390C2318yes—
473#390C2318yes—
474#390C2318yes—
475#390C2318yes—
476#390C2318yes—
477#390C2318yes—
478#390C2318yes—
479#390C2318yes—
480#390C2318yes—
481#390C2318yescomplemented
482#390C2318yescomplemented
483#389C2318yescomplemented
484#389C2318yescomplemented
485#388C2318yes—
486#388C2318yes—
487#388C2318yes—
488#388C2318yes—
489#388C2318yes—
490#388C2318yes—
491#388C2318yes—
492#388C2318yes—
493#388C2318yes—
494#388C2318yes—
495#388C2318yes—
496#388C2318yes—
497#388C2318yescomplemented
498#388C2318yescomplemented
499#388C2318yescomplemented
500#388C2318yescomplemented
501#388C2318yescomplemented
502#388C2318yescomplemented
503#388C2318yescomplemented
504#388C2318yescomplemented
505#387C2318yescomplemented
506#387C2318yescomplemented
507#387C2318yescomplemented
508#386C2318yes—
509#386C2318yes—
510#386C2318yes—
511#386C2318yes—
512#386C2318yes—
513#386C2318yescomplemented
514#386C2318yescomplemented
515#386C2318yescomplemented
516#385C2318yescomplemented
517#385C2318yescomplemented
518#385C2318yescomplemented
519#385C2318yescomplemented
520#384C2318yescomplemented
521#383C2318yescomplemented
522#382C2318yescomplemented
523#382C2318yescomplemented
524#380C2318yescomplemented
525#379C2318yes—
526#379C2318yes—
527C4×C4⋊C4C2318yescomplemented
528C4×C22⋊C4C2318yescomplemented
529C4×C22⋊C4C2318yescomplemented
530C4×C22⋊C4C2318yescomplemented
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—42no—
560C25—42no—
561C25—42no—
562C25—42no—
563C25—42no—
564C25—42no—
565C25—42no—
566C25C2411yescharacteristic
567C25C2411yescharacteristic
568C25C2411yescharacteristic
569C25C2411yescharacteristic
570C25C2411yescharacteristic
571C25C2411yescharacteristic
572C25C2411yescharacteristic
573C25C2411yescharacteristic
574C25C2414yes—
575C22×Q8—24no—
576C22×Q8—42no—
577C22×Q8—42no—
578C22×Q8C2414yes—
579C22×D4—24no—
580C22×D4—24no—
581C22×D4—24no—
582C22×D4—24no—
583C22×D4—24no—
584C22×D4—24no—
585C22×D4—24no—
586C22×D4—42no—
587C22×D4—42no—
588C22×D4—42no—
589C22×D4—42no—
590C22×D4—42no—
591C22×D4—42no—
592C22×D4—42no—
593C22×D4—42no—
594C22×D4—42no—
595C22×D4—42no—
596C22×D4—42no—
597C22×D4—42no—
598C22×D4—42no—
599C22×D4—42no—
600C22×D4—42no—
601C22×D4—42no—
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—42no—
650C22×D4—42no—
651C22×D4—42no—
652C22×D4—42no—
653C22×D4—42no—
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—
675C22×D4C2414yes—
676C22×D4C2414yes—
677C22×D4C2414yes—
678C22×D4C2414yes—
679C23×C4—24no—
680C23×C4—24no—
681C23×C4—24no—
682C23×C4—24no—
683C23×C4—24no—
684C23×C4—24no—
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×C4C2411yescharacteristic
695C23×C4C2411yescharacteristic
696C23×C4C2411yescharacteristic
697C23×C4C2411yescharacteristic
698C23×C4C2411yescharacteristic
699C23×C4C2411yescharacteristic
700C23×C4C2411yescharacteristic
701C23×C4C2411yescharacteristic
702C23×C4C2411yescharacteristic
703C23×C4C2411yescharacteristic
704C23×C4C2411yescharacteristic
705C23×C4C2411yescharacteristic
706C23×C4C2411yescharacteristic
707C23×C4C2411yescharacteristic
708C23×C4C2411yescharacteristic
709C23×C4C2411yescharacteristic
710C23×C4C2411yescharacteristic
711C23×C4C2411yescharacteristic
712C23×C4C2414yes—
713C23×C4C2414yes—
714C23×C4C2411yescharacteristic
715C23×C4C2411yescharacteristic
716C23×C4C2411yescharacteristic
717C23×C4C2411yescharacteristic
718C23×C4C2411yescharacteristic
719C23×C4C2414yes—
720C23×C4C2414yes—
721C23×C4C2414yes—
722#127—416no—
723#127—416no—
724#126—416no—
725#126—416no—
726#124—416no—
727#124—416no—
728#124—416no—
729#123—416no—
730#123—416no—
731#123—416no—
732C22⋊Q8—416no—
733#121—416no—
734#121—416no—
735#121—416no—
736#121—416no—
737#121—416no—
738#121—416no—
739#121—416no—
740#121—416no—
741#121—416no—
742#121—416no—
743#121—416no—
744#120—416no—
745#120—416no—
746#120—416no—
747#120—416no—
748#120—416no—
749C4×D4—416no—
750#117—416no—
751#117—416no—
752C2×C4⋊C4—24no—
753C2×C4⋊C4—24no—
754C2×C4⋊C4—24no—
755C2×C4⋊C4—24no—
756C2×C4⋊C4—24no—
757C2×C4⋊C4—24no—
758C2×C4⋊C4—24no—
759C2×C4⋊C4—42no—
760C2×C4⋊C4—42no—
761C2×C4⋊C4—42no—
762C2×C4⋊C4—42no—
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⋊C4C2414yes—
777C2×C4⋊C4C2414yes—
778C2×C4⋊C4C2414yes—
779C2×C4⋊C4C2414yes—
780C2×C4⋊C4C2414yes—
781C2×C4⋊C4C2414yes—
782C2×C4⋊C4C2414yes—
783C2×C4⋊C4C2414yes—
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×C22⋊C4—24no—
801C2×C22⋊C4—24no—
802C2×C22⋊C4—24no—
803C2×C22⋊C4—24no—
804C2×C22⋊C4—24no—
805C2×C22⋊C4—24no—
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—42no—
821C2×C22⋊C4—42no—
822C2×C22⋊C4—42no—
823C2×C22⋊C4—42no—
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⋊C4C2414yes—
863C2×C22⋊C4C2414yes—
864C2×C22⋊C4C2414yes—
865C2×C22⋊C4C2414yes—
866C2×C22⋊C4C2414yes—
867C2×C22⋊C4C2414yes—
868C2×C22⋊C4C2414yes—
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×C42—24no—
925C2×C42—24no—
926C2×C42—24no—
927C2×C42—24no—
928C2×C42—42no—
929C2×C42—42no—
930C2×C42—42no—
931C2×C42—42no—
932C2×C42—42no—
933C2×C42C2414yes—
934C2×C42C2414yes—
935C2×C42C2414yes—
936C2×C42C2414yes—
937C2×C42C2414yes—
938C2×C42C2414yes—
939C2×C42C2414yes—
940C2×C42C2414yes—
941C2×C42C2414yes—
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—
970C24—22no—
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—22no—
1024C24—22no—
1025C24—22no—
1026C24—44no—
1027C24—44no—
1028C24—44no—
1029C24—44no—
1030C24—44no—
1031C24—44no—
1032C24—44no—
1033C24—88no—
1034C24—88no—
1035C24—88no—
1036C24—88no—
1037C24—88no—
1038C24—88no—
1039C24—88no—
1040C24C2512yes—
1041C24C2512yes—
1042C24C2512yes—
1043C24C2512yes—
1044C24C2512yes—
1045C24C2512yes—
1046C24C2512yes—
1047C24C2512yes—
1048C24C2511yescharacteristic
1049C2×Q8—28no—
1050C2×Q8—44no—
1051C2×Q8—44no—
1052C2×Q8—88no—
1053C2×D4—28no—
1054C2×D4—28no—
1055C2×D4—28no—
1056C2×D4—28no—
1057C2×D4—28no—
1058C2×D4—28no—
1059C2×D4—28no—
1060C2×D4—44no—
1061C2×D4—44no—
1062C2×D4—416no—
1063C2×D4—44no—
1064C2×D4—44no—
1065C2×D4—44no—
1066C2×D4—44no—
1067C2×D4—44no—
1068C2×D4—44no—
1069C2×D4—44no—
1070C2×D4—44no—
1071C2×D4—44no—
1072C2×D4—44no—
1073C2×D4—44no—
1074C2×D4—44no—
1075C2×D4—44no—
1076C2×D4—44no—
1077C2×D4—44no—
1078C2×D4—44no—
1079C2×D4—44no—
1080C2×D4—44no—
1081C2×D4—44no—
1082C2×D4—44no—
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—44no—
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—88no—
1130C2×D4—88no—
1131C2×D4—88no—
1132C2×D4—88no—
1133C2×D4—88no—
1134C2×D4—88no—
1135C2×D4—88no—
1136C2×D4—88no—
1137C2×D4—88no—
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—28no—
1218C22×C4—28no—
1219C22×C4—28no—
1220C22×C4—28no—
1221C22×C4—28no—
1222C22×C4—28no—
1223C22×C4—44no—
1224C22×C4—44no—
1225C22×C4—416no—
1226C22×C4—416no—
1227C22×C4—44no—
1228C22×C4—44no—
1229C22×C4—44no—
1230C22×C4—44no—
1231C22×C4—44no—
1232C22×C4—44no—
1233C22×C4—44no—
1234C22×C4—88no—
1235C22×C4—88no—
1236C22×C4—88no—
1237C22×C4H(5,𝔽2)14yes—
1238C22×C4H(5,𝔽2)14yes—
1239C22×C4H(5,𝔽2)14yes—
1240C22×C4H(5,𝔽2)14yes—
1241C22×C4H(5,𝔽2)14yes—
1242C22×C4C2512yes—
1243C22×C4C2512yes—
1244C22×C4C2512yes—
1245C22×C4C2512yes—
1246C22×C4C2512yes—
1247C22×C4C2512yes—
1248C22×C4C2512yes—
1249C22×C4C2512yes—
1250C22×C4C2512yes—
1251C22×C4C2512yes—
1252C22×C4C2512yes—
1253C22×C4C2512yes—
1254C22×C4C2512yes—
1255C22×C4C2512yes—
1256C22×C4C2512yes—
1257C22×C4C2512yes—
1258C22×C4C2512yes—
1259C22×C4C2512yes—
1260C22×C4C2512yes—
1261C22×C4C2512yes—
1262C22×C4C2512yes—
1263C22×C4C2512yes—
1264C22×C4C2512yes—
1265C4⋊C4—28no—
1266C4⋊C4—28no—
1267C4⋊C4—28no—
1268C4⋊C4—28no—
1269C4⋊C4—28no—
1270C4⋊C4—28no—
1271C4⋊C4—28no—
1272C4⋊C4—44no—
1273C4⋊C4—44no—
1274C4⋊C4—44no—
1275C4⋊C4—44no—
1276C4⋊C4—44no—
1277C4⋊C4—44no—
1278C4⋊C4—44no—
1279C4⋊C4—44no—
1280C4⋊C4—44no—
1281C4⋊C4—44no—
1282C4⋊C4—44no—
1283C4⋊C4—44no—
1284C4⋊C4—44no—
1285C4⋊C4—44no—
1286C4⋊C4—44no—
1287C4⋊C4—44no—
1288C4⋊C4—44no—
1289C22⋊C4—28no—
1290C22⋊C4—28no—
1291C22⋊C4—28no—
1292C22⋊C4—28no—
1293C22⋊C4—28no—
1294C22⋊C4—28no—
1295C22⋊C4—28no—
1296C22⋊C4—28no—
1297C22⋊C4—28no—
1298C22⋊C4—28no—
1299C22⋊C4—28no—
1300C22⋊C4—28no—
1301C22⋊C4—28no—
1302C22⋊C4—28no—
1303C22⋊C4—28no—
1304C22⋊C4—28no—
1305C22⋊C4—28no—
1306C22⋊C4—28no—
1307C22⋊C4—28no—
1308C22⋊C4—28no—
1309C22⋊C4—44no—
1310C22⋊C4—44no—
1311C22⋊C4—44no—
1312C22⋊C4—44no—
1313C22⋊C4—44no—
1314C22⋊C4—44no—
1315C22⋊C4—44no—
1316C22⋊C4—44no—
1317C22⋊C4—44no—
1318C22⋊C4—44no—
1319C22⋊C4—44no—
1320C22⋊C4—44no—
1321C22⋊C4—44no—
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—
1351C42—28no—
1352C42—28no—
1353C42—28no—
1354C42—28no—
1355C42—44no—
1356C42—44no—
1357C42—44no—
1358C42—44no—
1359C42—44no—
1360C23—22no—
1361C23—22no—
1362C23—22no—
1363C23—22no—
1364C23—22no—
1365C23—22no—
1366C23—22no—
1367C23—22no—
1368C23—22no—
1369C23—22no—
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—22no—
1395C23—22no—
1396C23—22no—
1397C23—22no—
1398C23—22no—
1399C23—22no—
1400C23—22no—
1401C23—22no—
1402C23—22no—
1403C23—22no—
1404C23—22no—
1405C23—22no—
1406C23—22no—
1407C23—22no—
1408C23—22no—
1409C23—22no—
1410C23—22no—
1411C23—22no—
1412C23—22no—
1413C23—22no—
1414C23—22no—
1415C23—22no—
1416C23—44no—
1417C23—44no—
1418C23—44no—
1419C23—44no—
1420C23—44no—
1421C23—44no—
1422C23—44no—
1423C23—44no—
1424C23—44no—
1425C23—44no—
1426C23—44no—
1427C23—44no—
1428C23—44no—
1429C23—44no—
1430C23—44no—
1431C23—44no—
1432C23—44no—
1433C23—44no—
1434C23—44no—
1435C23—44no—
1436C23—44no—
1437C23—44no—
1438C23—44no—
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—88no—
1473C23—88no—
1474C23—88no—
1475C23—88no—
1476C23—88no—
1477C23—88no—
1478C23—88no—
1479C23—864no—
1480C23C2×H(5,𝔽2)12yes—
1481C23C2×H(5,𝔽2)12yes—
1482C23C2×H(5,𝔽2)12yes—
1483C23C2×H(5,𝔽2)12yes—
1484C23C2×H(5,𝔽2)12yes—
1485C23#58512yes—
1486C23#58512yes—
1487C23C2611yescharacteristic
1488Q8—88no—
1489D4—416no—
1490D4—88no—
1491D4—88no—
1492D4—88no—
1493D4—88no—
1494D4—88no—
1495D4—88no—
1496D4—88no—
1497D4—88no—
1498D4—88no—
1499D4—88no—
1500D4—88no—
1501D4—88no—
1502D4—88no—
1503D4—88no—
1504D4—88no—
1505D4—88no—
1506D4—88no—
1507D4—88no—
1508D4—88no—
1509D4—88no—
1510D4—88no—
1511D4—88no—
1512D4—88no—
1513D4—88no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—28no—
1525C2×C4—28no—
1526C2×C4—28no—
1527C2×C4—28no—
1528C2×C4—28no—
1529C2×C4—22no—
1530C2×C4—22no—
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—416no—
1584C2×C4—416no—
1585C2×C4—44no—
1586C2×C4—44no—
1587C2×C4—44no—
1588C2×C4—44no—
1589C2×C4—44no—
1590C2×C4—44no—
1591C2×C4—44no—
1592C2×C4—44no—
1593C2×C4—44no—
1594C2×C4—44no—
1595C2×C4—44no—
1596C2×C4—44no—
1597C2×C4—44no—
1598C2×C4—44no—
1599C2×C4—44no—
1600C2×C4—44no—
1601C2×C4—44no—
1602C2×C4—44no—
1603C2×C4—88no—
1604C2×C4—88no—
1605C2×C4—88no—
1606C2×C4C2×H(5,𝔽2)14yes—
1607C2×C4C2×H(5,𝔽2)14yes—
1608C2×C4C2×H(5,𝔽2)14yes—
1609C2×C4C2×H(5,𝔽2)14yes—
1610C2×C4C2×H(5,𝔽2)14yes—
1611C22—42no—
1612C22—42no—
1613C22—42no—
1614C22—42no—
1615C22—42no—
1616C22—42no—
1617C22—42no—
1618C22—42no—
1619C22—42no—
1620C22—42no—
1621C22—42no—
1622C22—42no—
1623C22—42no—
1624C22—42no—
1625C22—42no—
1626C22—42no—
1627C22—42no—
1628C22—42no—
1629C22—42no—
1630C22—42no—
1631C22—42no—
1632C22—42no—
1633C22—42no—
1634C22—42no—
1635C22—42no—
1636C22—42no—
1637C22—42no—
1638C22—42no—
1639C22—42no—
1640C22—42no—
1641C22—42no—
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—42no—
1655C22—42no—
1656C22—42no—
1657C22—42no—
1658C22—42no—
1659C22—42no—
1660C22—42no—
1661C22—42no—
1662C22—42no—
1663C22—42no—
1664C22—42no—
1665C22—42no—
1666C22—42no—
1667C22—832no—
1668C22—88no—
1669C22—88no—
1670C22—88no—
1671C22—88no—
1672C22—88no—
1673C22—88no—
1674C22—88no—
1675C22—88no—
1676C22#353414yes—
1677C22#353714yes—
1678C22#354214yes—
1679C22#354614yes—
1680C22#354614yes—
1681C22#354914yes—
1682C22#355114yes—
1683C22C22×H(5,𝔽2)11yescharacteristic
1684C22C22×H(5,𝔽2)11yescharacteristic
1685C22C22×H(5,𝔽2)11yescharacteristic
1686C22C22×H(5,𝔽2)11yescharacteristic
1687C22C22×H(5,𝔽2)11yescharacteristic
1688C22C2×#58511yescharacteristic
1689C22C2×#58511yescharacteristic
1690C4—24no—
1691C4—24no—
1692C4—24no—
1693C4—24no—
1694C4—24no—
1695C4—42no—
1696C4—42no—
1697C4—42no—
1698C4—42no—
1699C4—42no—
1700C4—42no—
1701C4—42no—
1702C4—42no—
1703C4—42no—
1704C4—42no—
1705C4—42no—
1706C4—42no—
1707C4—42no—
1708C4—42no—
1709C4—42no—
1710C4—42no—
1711C4—42no—
1712C4—42no—
1713C2—82no—
1714C2—82no—
1715C2—82no—
1716C2—82no—
1717C2—82no—
1718C2—82no—
1719C2—82no—
1720C2—82no—
1721C2#5858318yesdirect product factor
1722C2C2×#354211yescharacteristic
1723C2C2×#353411yescharacteristic
1724C2C2×#353711yescharacteristic
1725C2C2×#355111yescharacteristic
1726C2C2×#354611yescharacteristic
1727C2C2×#354611yescharacteristic
1728C2C2×#354911yescharacteristic
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. #58583C2direct (N × H)
2. C2×#2781C2semidirect
3. C2×#2775C2semidirect
4. C2×#2753C2semidirect
5. C2×#2733C2semidirect
6. C2×#2718C2semidirect
7. C2×#2714C2semidirect
8. C2×#2685C2semidirect
9. C2×#2678C2semidirect
10. C2×#2678C2semidirect
11. C2×#2678C2semidirect
12. C2×#2676C2semidirect
13. C2×#2675C2semidirect
14. C2×#2673C2semidirect
15. C2×#2670C2semidirect
16. C2×#2669C2semidirect
17. C2×#2669C2semidirect
18. C2×#2818C2semidirect
19. C2×#2828C2semidirect
20. C2×#2813C2semidirect
21. C2×#2601C2semidirect
22. C2×#2554C2semidirect
23. C2×#2555C2semidirect
24. C2×#2500C2semidirect
25. C2×#2518C2semidirect
26. C2×#2476C2semidirect
27. C2×#2414C2semidirect
28. C2×#2428C2semidirect
29. C2×#2461C2semidirect
30. C2×#2620C2semidirect
31. C2×#2619C2semidirect
32. C2×#2661C2semidirect
36. C22×#126C22semidirect
39. C22×#124C22semidirect
43. C22×C22⋊Q8C22semidirect
51. C22×#121C22semidirect
52. C22×#121C22semidirect
53. C22×#121C22semidirect
54. C22×#121C22semidirect
60. C22×C4×D4C22semidirect
61. C22×#117C22semidirect
62. C22×#117C22semidirect
63. #2828C22semidirect
64. #2818C22semidirect
65. #2813C22semidirect
66. #2781C22semidirect
67. #2775C22semidirect
68. #2753C22semidirect
69. #2733C22semidirect
70. #2718C22semidirect
71. #2714C22semidirect
72. #2685C22semidirect
73. #2678C22semidirect
74. #2678C22semidirect
75. #2678C22semidirect
76. #2676C22semidirect
77. #2675C22semidirect
78. #2673C22semidirect
79. #2670C22semidirect
80. #2669C22semidirect
81. #2669C22semidirect
82. #2661C22semidirect
83. #2620C22semidirect
84. #2619C22semidirect
85. #2601C22semidirect
86. #2555C22semidirect
87. #2554C22semidirect
88. #2518C22semidirect
89. #2500C22semidirect
90. #2476C22semidirect
91. #2461C22semidirect
92. #2428C22semidirect
93. #2414C22semidirect
94. C2×#400C22semidirect
95. C2×#400C22semidirect
97. C2×#398C22semidirect
98. C2×#398C22semidirect
102. C2×#397C22semidirect
107. C2×#396C22semidirect
108. C2×#396C22semidirect
109. C2×#396C22semidirect
110. C2×#395C22semidirect
127. C2×#394C22semidirect
128. C2×#394C22semidirect
129. C2×#394C22semidirect
130. C2×#394C22semidirect
131. C2×#394C22semidirect
132. C2×#394C22semidirect
133. C2×#394C22semidirect
134. C2×#394C22semidirect
135. C2×#394C22semidirect
154. C2×#392C22semidirect
155. C2×#392C22semidirect
156. C2×#392C22semidirect
157. C2×#392C22semidirect
158. C2×#391C22semidirect
169. C2×#390C22semidirect
170. C2×#390C22semidirect
171. C2×#389C22semidirect
172. C2×#389C22semidirect
185. C2×#388C22semidirect
186. C2×#388C22semidirect
187. C2×#388C22semidirect
188. C2×#388C22semidirect
189. C2×#388C22semidirect
190. C2×#388C22semidirect
191. C2×#388C22semidirect
192. C2×#388C22semidirect
193. C2×#387C22semidirect
194. C2×#387C22semidirect
195. C2×#387C22semidirect
201. C2×#386C22semidirect
202. C2×#386C22semidirect
203. C2×#386C22semidirect
204. C2×#385C22semidirect
205. C2×#385C22semidirect
206. C2×#385C22semidirect
207. C2×#385C22semidirect
208. C2×#384C22semidirect
209. C2×#383C22semidirect
210. C2×#382C22semidirect
211. C2×#382C22semidirect
212. C2×#380C22semidirect
215. C2×C4×C4⋊C4C22semidirect
216. C2×C4×C22⋊C4C22semidirect
217. C2×C4×C22⋊C4C22semidirect
218. C2×C4×C22⋊C4C22semidirect
258. C2×#126C23semidirect
264. C2×#124C23semidirect
272. C2×C22⋊Q8C23semidirect
291. C2×#121C23semidirect
292. C2×#121C23semidirect
293. C2×#121C23semidirect
294. C2×#121C23semidirect
306. C2×C4×D4C23semidirect
309. C2×#117C23semidirect
310. C2×#117C23semidirect
406. #400C23semidirect
407. #400C23semidirect
409. #398C23semidirect
410. #398C23semidirect
414. #397C23semidirect
419. #396C23semidirect
420. #396C23semidirect
421. #396C23semidirect
422. #395C23semidirect
439. #394C23semidirect
440. #394C23semidirect
441. #394C23semidirect
442. #394C23semidirect
443. #394C23semidirect
444. #394C23semidirect
445. #394C23semidirect
446. #394C23semidirect
447. #394C23semidirect
466. #392C23semidirect
467. #392C23semidirect
468. #392C23semidirect
469. #392C23semidirect
470. #391C23semidirect
481. #390C23semidirect
482. #390C23semidirect
483. #389C23semidirect
484. #389C23semidirect
497. #388C23semidirect
498. #388C23semidirect
499. #388C23semidirect
500. #388C23semidirect
501. #388C23semidirect
502. #388C23semidirect
503. #388C23semidirect
504. #388C23semidirect
505. #387C23semidirect
506. #387C23semidirect
507. #387C23semidirect
513. #386C23semidirect
514. #386C23semidirect
515. #386C23semidirect
516. #385C23semidirect
517. #385C23semidirect
518. #385C23semidirect
519. #385C23semidirect
520. #384C23semidirect
521. #383C23semidirect
522. #382C23semidirect
523. #382C23semidirect
524. #380C23semidirect
527. C4×C4⋊C4C23semidirect
528. C4×C22⋊C4C23semidirect
529. C4×C22⋊C4C23semidirect
530. C4×C22⋊C4C23semidirect
1721. C2#58583direct (N × H)

Maximal subgroups

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

subgroupindex
#585832
C2×#27812
C2×#27752
C2×#27532
C2×#27332
C2×#27182
C2×#27142
C2×#26852
C2×#26782
C2×#26762
C2×#26752
C2×#26732
C2×#26702
C2×#26692
C2×#28182
C2×#28282
C2×#28132
C2×#26012
C2×#25542
C2×#25552
C2×#25002
C2×#25182
C2×#24762
C2×#24142
C2×#24282
C2×#24612
C2×#26202
C2×#26192
C2×#26612